From d7d40745fa09061a3117bd3669c5a46bbf611eae Mon Sep 17 00:00:00 2001
From: Brecht Van Lommel <brecht@blender.org>
Date: Sun, 24 Oct 2021 14:19:19 +0200
Subject: Cycles: changes to source code folders structure

* Split render/ into scene/ and session/. The scene/ folder now contains the
  scene and its nodes. The session/ folder contains the render session and
  associated data structures like drivers and render buffers.
* Move top level kernel headers into new folders kernel/camera/, kernel/film/,
  kernel/light/, kernel/sample/, kernel/util/
* Move integrator related kernel headers into kernel/integrator/
* Move OSL shaders from kernel/shaders/ to kernel/osl/shaders/

For patches and branches, git merge and rebase should be able to detect the
renames and move over code to the right file.
---
 intern/cycles/CMakeLists.txt                       |     3 +-
 intern/cycles/app/CMakeLists.txt                   |     3 +-
 intern/cycles/app/cycles_standalone.cpp            |    10 +-
 intern/cycles/app/cycles_xml.cpp                   |    24 +-
 intern/cycles/app/oiio_output_driver.h             |     2 +-
 intern/cycles/blender/CMakeLists.txt               |     3 +-
 intern/cycles/blender/blender_camera.cpp           |     4 +-
 intern/cycles/blender/blender_curves.cpp           |    13 +-
 intern/cycles/blender/blender_display_driver.h     |     2 +-
 intern/cycles/blender/blender_geometry.cpp         |    10 +-
 intern/cycles/blender/blender_id_map.h             |     4 +-
 intern/cycles/blender/blender_image.h              |     2 +-
 intern/cycles/blender/blender_light.cpp            |     2 +-
 intern/cycles/blender/blender_mesh.cpp             |    11 +-
 intern/cycles/blender/blender_object.cpp           |    22 +-
 intern/cycles/blender/blender_object_cull.cpp      |     2 +-
 intern/cycles/blender/blender_output_driver.h      |     2 +-
 intern/cycles/blender/blender_particles.cpp        |     6 +-
 intern/cycles/blender/blender_python.cpp           |     6 +-
 intern/cycles/blender/blender_session.cpp          |    26 +-
 intern/cycles/blender/blender_session.h            |     6 +-
 intern/cycles/blender/blender_shader.cpp           |    18 +-
 intern/cycles/blender/blender_sync.cpp             |    26 +-
 intern/cycles/blender/blender_sync.h               |     4 +-
 intern/cycles/blender/blender_util.h               |     2 +-
 intern/cycles/blender/blender_viewport.cpp         |     2 +-
 intern/cycles/blender/blender_viewport.h           |     2 +-
 intern/cycles/blender/blender_volume.cpp           |    10 +-
 intern/cycles/bvh/CMakeLists.txt                   |     2 +-
 intern/cycles/bvh/bvh2.cpp                         |     6 +-
 intern/cycles/bvh/bvh_build.cpp                    |    10 +-
 intern/cycles/bvh/bvh_embree.cpp                   |     8 +-
 intern/cycles/bvh/bvh_split.cpp                    |     6 +-
 intern/cycles/bvh/bvh_unaligned.cpp                |     4 +-
 intern/cycles/device/cpu/device_impl.cpp           |     2 +-
 intern/cycles/device/cuda/device_impl.cpp          |     2 -
 intern/cycles/device/device_denoise.h              |     2 +-
 intern/cycles/device/device_graphics_interop.h     |     2 +-
 intern/cycles/device/hip/device_impl.cpp           |     2 -
 intern/cycles/device/multi/device.cpp              |     3 +-
 intern/cycles/device/optix/device_impl.cpp         |    13 +-
 intern/cycles/integrator/CMakeLists.txt            |     4 +-
 intern/cycles/integrator/denoiser.cpp              |     2 +-
 intern/cycles/integrator/denoiser_device.cpp       |     2 +-
 intern/cycles/integrator/denoiser_oidn.cpp         |     2 +-
 intern/cycles/integrator/pass_accessor.cpp         |     2 +-
 intern/cycles/integrator/pass_accessor.h           |     2 +-
 intern/cycles/integrator/pass_accessor_cpu.cpp     |     4 +-
 intern/cycles/integrator/pass_accessor_gpu.cpp     |     2 +-
 intern/cycles/integrator/path_trace.cpp            |     6 +-
 intern/cycles/integrator/path_trace.h              |     2 +-
 intern/cycles/integrator/path_trace_display.cpp    |     2 +-
 intern/cycles/integrator/path_trace_display.h      |     2 +-
 intern/cycles/integrator/path_trace_tile.cpp       |     8 +-
 intern/cycles/integrator/path_trace_tile.h         |     2 +-
 intern/cycles/integrator/path_trace_work.cpp       |     6 +-
 intern/cycles/integrator/path_trace_work.h         |     4 +-
 intern/cycles/integrator/path_trace_work_cpu.cpp   |     6 +-
 intern/cycles/integrator/path_trace_work_gpu.cpp   |     4 +-
 intern/cycles/integrator/render_scheduler.cpp      |     4 +-
 intern/cycles/integrator/render_scheduler.h        |     2 +-
 intern/cycles/integrator/work_tile_scheduler.cpp   |     2 +-
 intern/cycles/kernel/CMakeLists.txt                |    58 +-
 intern/cycles/kernel/bake/bake.h                   |   119 +
 intern/cycles/kernel/camera/camera.h               |   521 +
 intern/cycles/kernel/camera/camera_projection.h    |   258 +
 .../cycles/kernel/closure/bsdf_ashikhmin_velvet.h  |     2 +-
 intern/cycles/kernel/closure/bsdf_diffuse.h        |     2 +
 intern/cycles/kernel/closure/bsdf_diffuse_ramp.h   |     2 +
 .../cycles/kernel/closure/bsdf_hair_principled.h   |     2 +-
 intern/cycles/kernel/closure/bsdf_microfacet.h     |     4 +-
 .../cycles/kernel/closure/bsdf_microfacet_multi.h  |     3 +
 .../kernel/closure/bsdf_principled_diffuse.h       |     2 +
 intern/cycles/kernel/closure/bsdf_util.h           |   106 +
 intern/cycles/kernel/device/cpu/globals.h          |     2 +-
 intern/cycles/kernel/device/cpu/kernel_arch_impl.h |     9 +-
 intern/cycles/kernel/device/cuda/globals.h         |     3 +-
 intern/cycles/kernel/device/gpu/kernel.h           |     9 +-
 intern/cycles/kernel/device/gpu/work_stealing.h    |    52 +
 intern/cycles/kernel/device/hip/globals.h          |     3 +-
 intern/cycles/kernel/device/optix/globals.h        |     3 +-
 intern/cycles/kernel/film/film_accumulate.h        |   559 +
 intern/cycles/kernel/film/film_adaptive_sampling.h |   160 +
 intern/cycles/kernel/film/film_id_passes.h         |   106 +
 intern/cycles/kernel/film/film_passes.h            |   342 +
 intern/cycles/kernel/film/film_read.h              |   532 +
 intern/cycles/kernel/film/film_write_passes.h      |    88 +
 intern/cycles/kernel/geom/geom_patch.h             |     2 +
 intern/cycles/kernel/geom/geom_primitive.h         |     2 +-
 .../cycles/kernel/geom/geom_triangle_intersect.h   |     2 +-
 .../kernel/integrator/integrator_init_from_bake.h  |    13 +-
 .../integrator/integrator_init_from_camera.h       |    15 +-
 .../integrator/integrator_intersect_closest.h      |    13 +-
 .../integrator/integrator_intersect_volume_stack.h |     2 +-
 .../kernel/integrator/integrator_path_state.h      |   376 +
 .../integrator/integrator_shade_background.h       |     9 +-
 .../kernel/integrator/integrator_shade_light.h     |     8 +-
 .../kernel/integrator/integrator_shade_shadow.h    |     3 +-
 .../kernel/integrator/integrator_shade_surface.h   |    15 +-
 .../kernel/integrator/integrator_shade_volume.h    |    15 +-
 .../kernel/integrator/integrator_shader_eval.h     |   869 +
 .../kernel/integrator/integrator_shadow_catcher.h  |   120 +
 .../kernel/integrator/integrator_state_util.h      |     3 +-
 .../kernel/integrator/integrator_subsurface.h      |     6 +-
 .../integrator/integrator_subsurface_random_walk.h |     2 +-
 intern/cycles/kernel/kernel_accumulate.h           |   559 -
 intern/cycles/kernel/kernel_adaptive_sampling.h    |   160 -
 intern/cycles/kernel/kernel_bake.h                 |   120 -
 intern/cycles/kernel/kernel_camera.h               |   521 -
 intern/cycles/kernel/kernel_color.h                |    35 -
 intern/cycles/kernel/kernel_differential.h         |   166 -
 intern/cycles/kernel/kernel_emission.h             |   269 -
 intern/cycles/kernel/kernel_film.h                 |   532 -
 intern/cycles/kernel/kernel_id_passes.h            |   106 -
 intern/cycles/kernel/kernel_jitter.h               |   169 -
 intern/cycles/kernel/kernel_light.h                |   875 -
 intern/cycles/kernel/kernel_light_background.h     |   453 -
 intern/cycles/kernel/kernel_light_common.h         |   227 -
 intern/cycles/kernel/kernel_lookup_table.h         |    56 -
 intern/cycles/kernel/kernel_math.h                 |    25 -
 intern/cycles/kernel/kernel_montecarlo.h           |   308 -
 intern/cycles/kernel/kernel_passes.h               |   342 -
 intern/cycles/kernel/kernel_path_state.h           |   376 -
 intern/cycles/kernel/kernel_profiling.h            |    40 -
 intern/cycles/kernel/kernel_projection.h           |   258 -
 intern/cycles/kernel/kernel_random.h               |   216 -
 intern/cycles/kernel/kernel_shader.h               |   870 -
 intern/cycles/kernel/kernel_shadow_catcher.h       |   120 -
 intern/cycles/kernel/kernel_types.h                |    10 +-
 intern/cycles/kernel/kernel_work_stealing.h        |    52 -
 intern/cycles/kernel/kernel_write_passes.h         |    88 -
 intern/cycles/kernel/light/light.h                 |   872 +
 intern/cycles/kernel/light/light_background.h      |   453 +
 intern/cycles/kernel/light/light_common.h          |   227 +
 intern/cycles/kernel/light/light_sample.h          |   271 +
 intern/cycles/kernel/osl/CMakeLists.txt            |     2 +-
 intern/cycles/kernel/osl/bsdf_diffuse_ramp.cpp     |     1 -
 intern/cycles/kernel/osl/osl_bssrdf.cpp            |     1 -
 intern/cycles/kernel/osl/osl_closures.cpp          |     2 -
 intern/cycles/kernel/osl/osl_services.cpp          |    23 +-
 intern/cycles/kernel/osl/osl_shader.cpp            |     5 +-
 intern/cycles/kernel/osl/shaders/CMakeLists.txt    |   155 +
 .../kernel/osl/shaders/node_absorption_volume.osl  |    24 +
 .../cycles/kernel/osl/shaders/node_add_closure.osl |    24 +
 .../kernel/osl/shaders/node_ambient_occlusion.osl  |    43 +
 .../kernel/osl/shaders/node_anisotropic_bsdf.osl   |    57 +
 .../cycles/kernel/osl/shaders/node_attribute.osl   |    45 +
 .../cycles/kernel/osl/shaders/node_background.osl  |    24 +
 intern/cycles/kernel/osl/shaders/node_bevel.osl    |    29 +
 .../cycles/kernel/osl/shaders/node_blackbody.osl   |    28 +
 .../kernel/osl/shaders/node_brick_texture.osl      |   119 +
 .../cycles/kernel/osl/shaders/node_brightness.osl  |    30 +
 intern/cycles/kernel/osl/shaders/node_bump.osl     |    68 +
 intern/cycles/kernel/osl/shaders/node_camera.osl   |    29 +
 .../kernel/osl/shaders/node_checker_texture.osl    |    62 +
 intern/cycles/kernel/osl/shaders/node_clamp.osl    |    27 +
 intern/cycles/kernel/osl/shaders/node_color.h      |   163 +
 .../cycles/kernel/osl/shaders/node_combine_hsv.osl |    22 +
 .../cycles/kernel/osl/shaders/node_combine_rgb.osl |    22 +
 .../cycles/kernel/osl/shaders/node_combine_xyz.osl |    22 +
 .../kernel/osl/shaders/node_convert_from_color.osl |    32 +
 .../kernel/osl/shaders/node_convert_from_float.osl |    32 +
 .../kernel/osl/shaders/node_convert_from_int.osl   |    33 +
 .../osl/shaders/node_convert_from_normal.osl       |    32 +
 .../kernel/osl/shaders/node_convert_from_point.osl |    32 +
 .../osl/shaders/node_convert_from_string.osl       |    27 +
 .../osl/shaders/node_convert_from_vector.osl       |    32 +
 .../kernel/osl/shaders/node_diffuse_bsdf.osl       |    28 +
 .../kernel/osl/shaders/node_displacement.osl       |    36 +
 intern/cycles/kernel/osl/shaders/node_emission.osl |    22 +
 .../osl/shaders/node_environment_texture.osl       |    85 +
 .../cycles/kernel/osl/shaders/node_float_curve.osl |    32 +
 intern/cycles/kernel/osl/shaders/node_fresnel.h    |    62 +
 intern/cycles/kernel/osl/shaders/node_fresnel.osl  |    26 +
 intern/cycles/kernel/osl/shaders/node_gamma.osl    |    22 +
 intern/cycles/kernel/osl/shaders/node_geometry.osl |    71 +
 .../cycles/kernel/osl/shaders/node_glass_bsdf.osl  |    43 +
 .../cycles/kernel/osl/shaders/node_glossy_bsdf.osl |    38 +
 .../kernel/osl/shaders/node_gradient_texture.osl   |    77 +
 .../cycles/kernel/osl/shaders/node_hair_bsdf.osl   |    57 +
 .../cycles/kernel/osl/shaders/node_hair_info.osl   |    32 +
 intern/cycles/kernel/osl/shaders/node_hash.h       |    81 +
 intern/cycles/kernel/osl/shaders/node_holdout.osl  |    21 +
 intern/cycles/kernel/osl/shaders/node_hsv.osl      |    42 +
 .../cycles/kernel/osl/shaders/node_ies_light.osl   |    40 +
 .../kernel/osl/shaders/node_image_texture.osl      |   270 +
 intern/cycles/kernel/osl/shaders/node_invert.osl   |    23 +
 .../kernel/osl/shaders/node_layer_weight.osl       |    44 +
 .../kernel/osl/shaders/node_light_falloff.osl      |    42 +
 .../cycles/kernel/osl/shaders/node_light_path.osl  |    64 +
 .../kernel/osl/shaders/node_magic_texture.osl      |   108 +
 .../cycles/kernel/osl/shaders/node_map_range.osl   |    58 +
 intern/cycles/kernel/osl/shaders/node_mapping.osl  |    73 +
 intern/cycles/kernel/osl/shaders/node_math.h       |   117 +
 intern/cycles/kernel/osl/shaders/node_math.osl     |   109 +
 intern/cycles/kernel/osl/shaders/node_mix.osl      |   330 +
 .../cycles/kernel/osl/shaders/node_mix_closure.osl |    26 +
 .../kernel/osl/shaders/node_musgrave_texture.osl   |   803 +
 intern/cycles/kernel/osl/shaders/node_noise.h      |   202 +
 .../kernel/osl/shaders/node_noise_texture.osl      |   152 +
 intern/cycles/kernel/osl/shaders/node_normal.osl   |    26 +
 .../cycles/kernel/osl/shaders/node_normal_map.osl  |    90 +
 .../cycles/kernel/osl/shaders/node_object_info.osl |    30 +
 .../osl/shaders/node_output_displacement.osl       |    22 +
 .../kernel/osl/shaders/node_output_surface.osl     |    22 +
 .../kernel/osl/shaders/node_output_volume.osl      |    22 +
 .../kernel/osl/shaders/node_particle_info.osl      |    36 +
 .../kernel/osl/shaders/node_principled_bsdf.osl    |   157 +
 .../osl/shaders/node_principled_hair_bsdf.osl      |   105 +
 .../kernel/osl/shaders/node_principled_volume.osl  |    93 +
 intern/cycles/kernel/osl/shaders/node_ramp_util.h  |    93 +
 .../kernel/osl/shaders/node_refraction_bsdf.osl    |    36 +
 .../cycles/kernel/osl/shaders/node_rgb_curves.osl  |    39 +
 intern/cycles/kernel/osl/shaders/node_rgb_ramp.osl |    30 +
 .../cycles/kernel/osl/shaders/node_rgb_to_bw.osl   |    22 +
 .../kernel/osl/shaders/node_scatter_volume.osl     |    25 +
 .../kernel/osl/shaders/node_separate_hsv.osl       |    30 +
 .../kernel/osl/shaders/node_separate_rgb.osl       |    27 +
 .../kernel/osl/shaders/node_separate_xyz.osl       |    27 +
 .../cycles/kernel/osl/shaders/node_set_normal.osl  |    23 +
 .../cycles/kernel/osl/shaders/node_sky_texture.osl |   237 +
 .../osl/shaders/node_subsurface_scattering.osl     |    30 +
 intern/cycles/kernel/osl/shaders/node_tangent.osl  |    46 +
 .../kernel/osl/shaders/node_texture_coordinate.osl |    99 +
 .../cycles/kernel/osl/shaders/node_toon_bsdf.osl   |    30 +
 .../kernel/osl/shaders/node_translucent_bsdf.osl   |    22 +
 .../kernel/osl/shaders/node_transparent_bsdf.osl   |    22 +
 intern/cycles/kernel/osl/shaders/node_uv_map.osl   |    44 +
 intern/cycles/kernel/osl/shaders/node_value.osl    |    29 +
 .../kernel/osl/shaders/node_vector_curves.osl      |    39 +
 .../osl/shaders/node_vector_displacement.osl       |    58 +
 .../cycles/kernel/osl/shaders/node_vector_math.osl |   112 +
 .../kernel/osl/shaders/node_vector_rotate.osl      |    49 +
 .../kernel/osl/shaders/node_vector_transform.osl   |    34 +
 .../cycles/kernel/osl/shaders/node_velvet_bsdf.osl |    28 +
 .../kernel/osl/shaders/node_vertex_color.osl       |    50 +
 .../kernel/osl/shaders/node_voronoi_texture.osl    |  1031 +
 .../kernel/osl/shaders/node_voxel_texture.osl      |    45 +
 .../kernel/osl/shaders/node_wave_texture.osl       |   119 +
 .../cycles/kernel/osl/shaders/node_wavelength.osl  |    22 +
 .../osl/shaders/node_white_noise_texture.osl       |    49 +
 .../cycles/kernel/osl/shaders/node_wireframe.osl   |    40 +
 intern/cycles/kernel/osl/shaders/stdcycles.h       |   150 +
 intern/cycles/kernel/sample/sample_jitter.h        |   169 +
 intern/cycles/kernel/sample/sample_lcg.h           |    51 +
 intern/cycles/kernel/sample/sample_mapping.h       |   177 +
 intern/cycles/kernel/sample/sample_mis.h           |    64 +
 intern/cycles/kernel/sample/sample_pattern.h       |   185 +
 intern/cycles/kernel/shaders/CMakeLists.txt        |   155 -
 .../kernel/shaders/node_absorption_volume.osl      |    24 -
 intern/cycles/kernel/shaders/node_add_closure.osl  |    24 -
 .../kernel/shaders/node_ambient_occlusion.osl      |    43 -
 .../kernel/shaders/node_anisotropic_bsdf.osl       |    57 -
 intern/cycles/kernel/shaders/node_attribute.osl    |    45 -
 intern/cycles/kernel/shaders/node_background.osl   |    24 -
 intern/cycles/kernel/shaders/node_bevel.osl        |    29 -
 intern/cycles/kernel/shaders/node_blackbody.osl    |    28 -
 .../cycles/kernel/shaders/node_brick_texture.osl   |   119 -
 intern/cycles/kernel/shaders/node_brightness.osl   |    30 -
 intern/cycles/kernel/shaders/node_bump.osl         |    68 -
 intern/cycles/kernel/shaders/node_camera.osl       |    29 -
 .../cycles/kernel/shaders/node_checker_texture.osl |    62 -
 intern/cycles/kernel/shaders/node_clamp.osl        |    27 -
 intern/cycles/kernel/shaders/node_color.h          |   163 -
 intern/cycles/kernel/shaders/node_combine_hsv.osl  |    22 -
 intern/cycles/kernel/shaders/node_combine_rgb.osl  |    22 -
 intern/cycles/kernel/shaders/node_combine_xyz.osl  |    22 -
 .../kernel/shaders/node_convert_from_color.osl     |    32 -
 .../kernel/shaders/node_convert_from_float.osl     |    32 -
 .../kernel/shaders/node_convert_from_int.osl       |    33 -
 .../kernel/shaders/node_convert_from_normal.osl    |    32 -
 .../kernel/shaders/node_convert_from_point.osl     |    32 -
 .../kernel/shaders/node_convert_from_string.osl    |    27 -
 .../kernel/shaders/node_convert_from_vector.osl    |    32 -
 intern/cycles/kernel/shaders/node_diffuse_bsdf.osl |    28 -
 intern/cycles/kernel/shaders/node_displacement.osl |    36 -
 intern/cycles/kernel/shaders/node_emission.osl     |    22 -
 .../kernel/shaders/node_environment_texture.osl    |    85 -
 intern/cycles/kernel/shaders/node_float_curve.osl  |    32 -
 intern/cycles/kernel/shaders/node_fresnel.h        |    62 -
 intern/cycles/kernel/shaders/node_fresnel.osl      |    26 -
 intern/cycles/kernel/shaders/node_gamma.osl        |    22 -
 intern/cycles/kernel/shaders/node_geometry.osl     |    71 -
 intern/cycles/kernel/shaders/node_glass_bsdf.osl   |    43 -
 intern/cycles/kernel/shaders/node_glossy_bsdf.osl  |    38 -
 .../kernel/shaders/node_gradient_texture.osl       |    77 -
 intern/cycles/kernel/shaders/node_hair_bsdf.osl    |    57 -
 intern/cycles/kernel/shaders/node_hair_info.osl    |    32 -
 intern/cycles/kernel/shaders/node_hash.h           |    81 -
 intern/cycles/kernel/shaders/node_holdout.osl      |    21 -
 intern/cycles/kernel/shaders/node_hsv.osl          |    42 -
 intern/cycles/kernel/shaders/node_ies_light.osl    |    40 -
 .../cycles/kernel/shaders/node_image_texture.osl   |   270 -
 intern/cycles/kernel/shaders/node_invert.osl       |    23 -
 intern/cycles/kernel/shaders/node_layer_weight.osl |    44 -
 .../cycles/kernel/shaders/node_light_falloff.osl   |    42 -
 intern/cycles/kernel/shaders/node_light_path.osl   |    64 -
 .../cycles/kernel/shaders/node_magic_texture.osl   |   108 -
 intern/cycles/kernel/shaders/node_map_range.osl    |    58 -
 intern/cycles/kernel/shaders/node_mapping.osl      |    73 -
 intern/cycles/kernel/shaders/node_math.h           |   117 -
 intern/cycles/kernel/shaders/node_math.osl         |   109 -
 intern/cycles/kernel/shaders/node_mix.osl          |   330 -
 intern/cycles/kernel/shaders/node_mix_closure.osl  |    26 -
 .../kernel/shaders/node_musgrave_texture.osl       |   803 -
 intern/cycles/kernel/shaders/node_noise.h          |   202 -
 .../cycles/kernel/shaders/node_noise_texture.osl   |   152 -
 intern/cycles/kernel/shaders/node_normal.osl       |    26 -
 intern/cycles/kernel/shaders/node_normal_map.osl   |    90 -
 intern/cycles/kernel/shaders/node_object_info.osl  |    30 -
 .../kernel/shaders/node_output_displacement.osl    |    22 -
 .../cycles/kernel/shaders/node_output_surface.osl  |    22 -
 .../cycles/kernel/shaders/node_output_volume.osl   |    22 -
 .../cycles/kernel/shaders/node_particle_info.osl   |    36 -
 .../cycles/kernel/shaders/node_principled_bsdf.osl |   157 -
 .../kernel/shaders/node_principled_hair_bsdf.osl   |   105 -
 .../kernel/shaders/node_principled_volume.osl      |    93 -
 intern/cycles/kernel/shaders/node_ramp_util.h      |    93 -
 .../cycles/kernel/shaders/node_refraction_bsdf.osl |    36 -
 intern/cycles/kernel/shaders/node_rgb_curves.osl   |    39 -
 intern/cycles/kernel/shaders/node_rgb_ramp.osl     |    30 -
 intern/cycles/kernel/shaders/node_rgb_to_bw.osl    |    22 -
 .../cycles/kernel/shaders/node_scatter_volume.osl  |    25 -
 intern/cycles/kernel/shaders/node_separate_hsv.osl |    30 -
 intern/cycles/kernel/shaders/node_separate_rgb.osl |    27 -
 intern/cycles/kernel/shaders/node_separate_xyz.osl |    27 -
 intern/cycles/kernel/shaders/node_set_normal.osl   |    23 -
 intern/cycles/kernel/shaders/node_sky_texture.osl  |   237 -
 .../kernel/shaders/node_subsurface_scattering.osl  |    30 -
 intern/cycles/kernel/shaders/node_tangent.osl      |    46 -
 .../kernel/shaders/node_texture_coordinate.osl     |    99 -
 intern/cycles/kernel/shaders/node_toon_bsdf.osl    |    30 -
 .../kernel/shaders/node_translucent_bsdf.osl       |    22 -
 .../kernel/shaders/node_transparent_bsdf.osl       |    22 -
 intern/cycles/kernel/shaders/node_uv_map.osl       |    44 -
 intern/cycles/kernel/shaders/node_value.osl        |    29 -
 .../cycles/kernel/shaders/node_vector_curves.osl   |    39 -
 .../kernel/shaders/node_vector_displacement.osl    |    58 -
 intern/cycles/kernel/shaders/node_vector_math.osl  |   112 -
 .../cycles/kernel/shaders/node_vector_rotate.osl   |    49 -
 .../kernel/shaders/node_vector_transform.osl       |    34 -
 intern/cycles/kernel/shaders/node_velvet_bsdf.osl  |    28 -
 intern/cycles/kernel/shaders/node_vertex_color.osl |    50 -
 .../cycles/kernel/shaders/node_voronoi_texture.osl |  1031 -
 .../cycles/kernel/shaders/node_voxel_texture.osl   |    45 -
 intern/cycles/kernel/shaders/node_wave_texture.osl |   119 -
 intern/cycles/kernel/shaders/node_wavelength.osl   |    22 -
 .../kernel/shaders/node_white_noise_texture.osl    |    49 -
 intern/cycles/kernel/shaders/node_wireframe.osl    |    40 -
 intern/cycles/kernel/shaders/stdcycles.h           |   150 -
 intern/cycles/kernel/svm/svm_aov.h                 |     2 +-
 intern/cycles/kernel/svm/svm_bevel.h               |     4 +-
 intern/cycles/kernel/svm/svm_displace.h            |     2 +-
 intern/cycles/kernel/svm/svm_tex_coord.h           |     4 +-
 intern/cycles/kernel/util/util_color.h             |    35 +
 intern/cycles/kernel/util/util_differential.h      |   166 +
 intern/cycles/kernel/util/util_lookup_table.h      |    56 +
 intern/cycles/kernel/util/util_profiling.h         |    40 +
 intern/cycles/render/CMakeLists.txt                |   180 -
 intern/cycles/render/alembic.cpp                   |  1431 --
 intern/cycles/render/alembic.h                     |   568 -
 intern/cycles/render/alembic_read.cpp              |  1037 -
 intern/cycles/render/alembic_read.h                |   134 -
 intern/cycles/render/attribute.cpp                 |   896 -
 intern/cycles/render/attribute.h                   |   287 -
 intern/cycles/render/background.cpp                |   140 -
 intern/cycles/render/background.h                  |    59 -
 intern/cycles/render/bake.cpp                      |   104 -
 intern/cycles/render/bake.h                        |    50 -
 intern/cycles/render/buffers.cpp                   |   384 -
 intern/cycles/render/buffers.h                     |   199 -
 intern/cycles/render/camera.cpp                    |   819 -
 intern/cycles/render/camera.h                      |   236 -
 intern/cycles/render/colorspace.cpp                |   398 -
 intern/cycles/render/colorspace.h                  |    66 -
 intern/cycles/render/constant_fold.cpp             |   451 -
 intern/cycles/render/constant_fold.h               |    74 -
 intern/cycles/render/curves.cpp                    |    79 -
 intern/cycles/render/curves.h                      |    61 -
 intern/cycles/render/denoising.cpp                 |   934 -
 intern/cycles/render/denoising.h                   |   216 -
 intern/cycles/render/display_driver.h              |   131 -
 intern/cycles/render/film.cpp                      |   692 -
 intern/cycles/render/film.h                        |   100 -
 intern/cycles/render/geometry.cpp                  |  2074 --
 intern/cycles/render/geometry.h                    |   272 -
 intern/cycles/render/graph.cpp                     |  1239 --
 intern/cycles/render/graph.h                       |   385 -
 intern/cycles/render/hair.cpp                      |   632 -
 intern/cycles/render/hair.h                        |   164 -
 intern/cycles/render/image.cpp                     |   905 -
 intern/cycles/render/image.h                       |   249 -
 intern/cycles/render/image_oiio.cpp                |   238 -
 intern/cycles/render/image_oiio.h                  |    48 -
 intern/cycles/render/image_sky.cpp                 |    94 -
 intern/cycles/render/image_sky.h                   |    49 -
 intern/cycles/render/image_vdb.cpp                 |   249 -
 intern/cycles/render/image_vdb.h                   |    69 -
 intern/cycles/render/integrator.cpp                |   345 -
 intern/cycles/render/integrator.h                  |   113 -
 intern/cycles/render/jitter.cpp                    |   281 -
 intern/cycles/render/jitter.h                      |    29 -
 intern/cycles/render/light.cpp                     |  1150 -
 intern/cycles/render/light.h                       |   171 -
 intern/cycles/render/merge.cpp                     |   516 -
 intern/cycles/render/merge.h                       |    43 -
 intern/cycles/render/mesh.cpp                      |   812 -
 intern/cycles/render/mesh.h                        |   259 -
 intern/cycles/render/mesh_displace.cpp             |   410 -
 intern/cycles/render/mesh_subdivision.cpp          |   648 -
 intern/cycles/render/nodes.cpp                     |  7170 -------
 intern/cycles/render/nodes.h                       |  1569 --
 intern/cycles/render/object.cpp                    |   984 -
 intern/cycles/render/object.h                      |   189 -
 intern/cycles/render/osl.cpp                       |  1304 --
 intern/cycles/render/osl.h                         |   198 -
 intern/cycles/render/output_driver.h               |    82 -
 intern/cycles/render/particles.cpp                 |   149 -
 intern/cycles/render/particles.h                   |    80 -
 intern/cycles/render/pass.cpp                      |   426 -
 intern/cycles/render/pass.h                        |   106 -
 intern/cycles/render/procedural.cpp                |    89 -
 intern/cycles/render/procedural.h                  |    73 -
 intern/cycles/render/scene.cpp                     |   961 -
 intern/cycles/render/scene.h                       |   412 -
 intern/cycles/render/session.cpp                   |   624 -
 intern/cycles/render/session.h                     |   229 -
 intern/cycles/render/shader.cpp                    |   876 -
 intern/cycles/render/shader.h                      |   259 -
 intern/cycles/render/sobol.cpp                     | 21307 -------------------
 intern/cycles/render/sobol.h                       |    31 -
 intern/cycles/render/stats.cpp                     |   382 -
 intern/cycles/render/stats.h                       |   231 -
 intern/cycles/render/svm.cpp                       |   984 -
 intern/cycles/render/svm.h                         |   238 -
 intern/cycles/render/tables.cpp                    |   130 -
 intern/cycles/render/tables.h                      |    57 -
 intern/cycles/render/tile.cpp                      |   629 -
 intern/cycles/render/tile.h                        |   182 -
 intern/cycles/render/volume.cpp                    |   635 -
 intern/cycles/render/volume.h                      |    38 -
 intern/cycles/scene/CMakeLists.txt                 |   163 +
 intern/cycles/scene/alembic.cpp                    |  1431 ++
 intern/cycles/scene/alembic.h                      |   568 +
 intern/cycles/scene/alembic_read.cpp               |  1037 +
 intern/cycles/scene/alembic_read.h                 |   134 +
 intern/cycles/scene/attribute.cpp                  |   896 +
 intern/cycles/scene/attribute.h                    |   287 +
 intern/cycles/scene/background.cpp                 |   140 +
 intern/cycles/scene/background.h                   |    59 +
 intern/cycles/scene/bake.cpp                       |   104 +
 intern/cycles/scene/bake.h                         |    50 +
 intern/cycles/scene/camera.cpp                     |   814 +
 intern/cycles/scene/camera.h                       |   236 +
 intern/cycles/scene/colorspace.cpp                 |   398 +
 intern/cycles/scene/colorspace.h                   |    66 +
 intern/cycles/scene/constant_fold.cpp              |   451 +
 intern/cycles/scene/constant_fold.h                |    74 +
 intern/cycles/scene/curves.cpp                     |    79 +
 intern/cycles/scene/curves.h                       |    61 +
 intern/cycles/scene/film.cpp                       |   692 +
 intern/cycles/scene/film.h                         |   100 +
 intern/cycles/scene/geometry.cpp                   |  2074 ++
 intern/cycles/scene/geometry.h                     |   272 +
 intern/cycles/scene/hair.cpp                       |   632 +
 intern/cycles/scene/hair.h                         |   164 +
 intern/cycles/scene/image.cpp                      |   905 +
 intern/cycles/scene/image.h                        |   249 +
 intern/cycles/scene/image_oiio.cpp                 |   238 +
 intern/cycles/scene/image_oiio.h                   |    48 +
 intern/cycles/scene/image_sky.cpp                  |    94 +
 intern/cycles/scene/image_sky.h                    |    49 +
 intern/cycles/scene/image_vdb.cpp                  |   249 +
 intern/cycles/scene/image_vdb.h                    |    69 +
 intern/cycles/scene/integrator.cpp                 |   345 +
 intern/cycles/scene/integrator.h                   |   113 +
 intern/cycles/scene/jitter.cpp                     |   281 +
 intern/cycles/scene/jitter.h                       |    29 +
 intern/cycles/scene/light.cpp                      |  1150 +
 intern/cycles/scene/light.h                        |   171 +
 intern/cycles/scene/mesh.cpp                       |   812 +
 intern/cycles/scene/mesh.h                         |   259 +
 intern/cycles/scene/mesh_displace.cpp              |   410 +
 intern/cycles/scene/mesh_subdivision.cpp           |   648 +
 intern/cycles/scene/object.cpp                     |   984 +
 intern/cycles/scene/object.h                       |   189 +
 intern/cycles/scene/osl.cpp                        |  1304 ++
 intern/cycles/scene/osl.h                          |   198 +
 intern/cycles/scene/particles.cpp                  |   149 +
 intern/cycles/scene/particles.h                    |    80 +
 intern/cycles/scene/pass.cpp                       |   426 +
 intern/cycles/scene/pass.h                         |   106 +
 intern/cycles/scene/procedural.cpp                 |    89 +
 intern/cycles/scene/procedural.h                   |    73 +
 intern/cycles/scene/scene.cpp                      |   961 +
 intern/cycles/scene/scene.h                        |   412 +
 intern/cycles/scene/shader.cpp                     |   876 +
 intern/cycles/scene/shader.h                       |   259 +
 intern/cycles/scene/shader_graph.cpp               |  1239 ++
 intern/cycles/scene/shader_graph.h                 |   385 +
 intern/cycles/scene/shader_nodes.cpp               |  7171 +++++++
 intern/cycles/scene/shader_nodes.h                 |  1569 ++
 intern/cycles/scene/sobol.cpp                      |    94 +
 intern/cycles/scene/sobol.h                        |    31 +
 intern/cycles/scene/sobol.tables                   | 21258 ++++++++++++++++++
 intern/cycles/scene/stats.cpp                      |   382 +
 intern/cycles/scene/stats.h                        |   231 +
 intern/cycles/scene/svm.cpp                        |   984 +
 intern/cycles/scene/svm.h                          |   238 +
 intern/cycles/scene/tables.cpp                     |   130 +
 intern/cycles/scene/tables.h                       |    57 +
 intern/cycles/scene/volume.cpp                     |   635 +
 intern/cycles/scene/volume.h                       |    38 +
 intern/cycles/session/CMakeLists.txt               |    48 +
 intern/cycles/session/buffers.cpp                  |   384 +
 intern/cycles/session/buffers.h                    |   199 +
 intern/cycles/session/denoising.cpp                |   934 +
 intern/cycles/session/denoising.h                  |   216 +
 intern/cycles/session/display_driver.h             |   131 +
 intern/cycles/session/merge.cpp                    |   516 +
 intern/cycles/session/merge.h                      |    43 +
 intern/cycles/session/output_driver.h              |    82 +
 intern/cycles/session/session.cpp                  |   624 +
 intern/cycles/session/session.h                    |   229 +
 intern/cycles/session/tile.cpp                     |   629 +
 intern/cycles/session/tile.h                       |   182 +
 intern/cycles/subd/subd_dice.cpp                   |     4 +-
 intern/cycles/subd/subd_patch.cpp                  |     2 +-
 intern/cycles/subd/subd_split.cpp                  |     4 +-
 intern/cycles/test/CMakeLists.txt                  |     7 +-
 intern/cycles/test/render_graph_finalize_test.cpp  |     6 +-
 531 files changed, 76973 insertions(+), 76834 deletions(-)
 create mode 100644 intern/cycles/kernel/bake/bake.h
 create mode 100644 intern/cycles/kernel/camera/camera.h
 create mode 100644 intern/cycles/kernel/camera/camera_projection.h
 create mode 100644 intern/cycles/kernel/device/gpu/work_stealing.h
 create mode 100644 intern/cycles/kernel/film/film_accumulate.h
 create mode 100644 intern/cycles/kernel/film/film_adaptive_sampling.h
 create mode 100644 intern/cycles/kernel/film/film_id_passes.h
 create mode 100644 intern/cycles/kernel/film/film_passes.h
 create mode 100644 intern/cycles/kernel/film/film_read.h
 create mode 100644 intern/cycles/kernel/film/film_write_passes.h
 create mode 100644 intern/cycles/kernel/integrator/integrator_path_state.h
 create mode 100644 intern/cycles/kernel/integrator/integrator_shader_eval.h
 create mode 100644 intern/cycles/kernel/integrator/integrator_shadow_catcher.h
 delete mode 100644 intern/cycles/kernel/kernel_accumulate.h
 delete mode 100644 intern/cycles/kernel/kernel_adaptive_sampling.h
 delete mode 100644 intern/cycles/kernel/kernel_bake.h
 delete mode 100644 intern/cycles/kernel/kernel_camera.h
 delete mode 100644 intern/cycles/kernel/kernel_color.h
 delete mode 100644 intern/cycles/kernel/kernel_differential.h
 delete mode 100644 intern/cycles/kernel/kernel_emission.h
 delete mode 100644 intern/cycles/kernel/kernel_film.h
 delete mode 100644 intern/cycles/kernel/kernel_id_passes.h
 delete mode 100644 intern/cycles/kernel/kernel_jitter.h
 delete mode 100644 intern/cycles/kernel/kernel_light.h
 delete mode 100644 intern/cycles/kernel/kernel_light_background.h
 delete mode 100644 intern/cycles/kernel/kernel_light_common.h
 delete mode 100644 intern/cycles/kernel/kernel_lookup_table.h
 delete mode 100644 intern/cycles/kernel/kernel_math.h
 delete mode 100644 intern/cycles/kernel/kernel_montecarlo.h
 delete mode 100644 intern/cycles/kernel/kernel_passes.h
 delete mode 100644 intern/cycles/kernel/kernel_path_state.h
 delete mode 100644 intern/cycles/kernel/kernel_profiling.h
 delete mode 100644 intern/cycles/kernel/kernel_projection.h
 delete mode 100644 intern/cycles/kernel/kernel_random.h
 delete mode 100644 intern/cycles/kernel/kernel_shader.h
 delete mode 100644 intern/cycles/kernel/kernel_shadow_catcher.h
 delete mode 100644 intern/cycles/kernel/kernel_work_stealing.h
 delete mode 100644 intern/cycles/kernel/kernel_write_passes.h
 create mode 100644 intern/cycles/kernel/light/light.h
 create mode 100644 intern/cycles/kernel/light/light_background.h
 create mode 100644 intern/cycles/kernel/light/light_common.h
 create mode 100644 intern/cycles/kernel/light/light_sample.h
 create mode 100644 intern/cycles/kernel/osl/shaders/CMakeLists.txt
 create mode 100644 intern/cycles/kernel/osl/shaders/node_absorption_volume.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_add_closure.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_ambient_occlusion.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_anisotropic_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_attribute.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_background.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_bevel.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_blackbody.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_brick_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_brightness.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_bump.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_camera.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_checker_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_clamp.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_color.h
 create mode 100644 intern/cycles/kernel/osl/shaders/node_combine_hsv.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_combine_rgb.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_combine_xyz.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_convert_from_color.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_convert_from_float.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_convert_from_int.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_convert_from_normal.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_convert_from_point.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_convert_from_string.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_convert_from_vector.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_diffuse_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_displacement.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_emission.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_environment_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_float_curve.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_fresnel.h
 create mode 100644 intern/cycles/kernel/osl/shaders/node_fresnel.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_gamma.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_geometry.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_glass_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_glossy_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_gradient_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_hair_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_hair_info.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_hash.h
 create mode 100644 intern/cycles/kernel/osl/shaders/node_holdout.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_hsv.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_ies_light.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_image_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_invert.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_layer_weight.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_light_falloff.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_light_path.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_magic_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_map_range.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_mapping.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_math.h
 create mode 100644 intern/cycles/kernel/osl/shaders/node_math.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_mix.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_mix_closure.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_musgrave_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_noise.h
 create mode 100644 intern/cycles/kernel/osl/shaders/node_noise_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_normal.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_normal_map.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_object_info.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_output_displacement.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_output_surface.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_output_volume.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_particle_info.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_principled_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_principled_hair_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_principled_volume.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_ramp_util.h
 create mode 100644 intern/cycles/kernel/osl/shaders/node_refraction_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_rgb_curves.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_rgb_ramp.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_rgb_to_bw.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_scatter_volume.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_separate_hsv.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_separate_rgb.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_separate_xyz.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_set_normal.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_sky_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_subsurface_scattering.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_tangent.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_texture_coordinate.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_toon_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_translucent_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_transparent_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_uv_map.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_value.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_vector_curves.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_vector_displacement.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_vector_math.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_vector_rotate.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_vector_transform.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_velvet_bsdf.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_vertex_color.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_voronoi_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_voxel_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_wave_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_wavelength.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_white_noise_texture.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/node_wireframe.osl
 create mode 100644 intern/cycles/kernel/osl/shaders/stdcycles.h
 create mode 100644 intern/cycles/kernel/sample/sample_jitter.h
 create mode 100644 intern/cycles/kernel/sample/sample_lcg.h
 create mode 100644 intern/cycles/kernel/sample/sample_mapping.h
 create mode 100644 intern/cycles/kernel/sample/sample_mis.h
 create mode 100644 intern/cycles/kernel/sample/sample_pattern.h
 delete mode 100644 intern/cycles/kernel/shaders/CMakeLists.txt
 delete mode 100644 intern/cycles/kernel/shaders/node_absorption_volume.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_add_closure.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_ambient_occlusion.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_anisotropic_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_attribute.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_background.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_bevel.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_blackbody.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_brick_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_brightness.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_bump.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_camera.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_checker_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_clamp.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_color.h
 delete mode 100644 intern/cycles/kernel/shaders/node_combine_hsv.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_combine_rgb.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_combine_xyz.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_convert_from_color.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_convert_from_float.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_convert_from_int.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_convert_from_normal.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_convert_from_point.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_convert_from_string.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_convert_from_vector.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_diffuse_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_displacement.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_emission.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_environment_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_float_curve.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_fresnel.h
 delete mode 100644 intern/cycles/kernel/shaders/node_fresnel.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_gamma.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_geometry.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_glass_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_glossy_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_gradient_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_hair_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_hair_info.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_hash.h
 delete mode 100644 intern/cycles/kernel/shaders/node_holdout.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_hsv.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_ies_light.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_image_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_invert.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_layer_weight.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_light_falloff.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_light_path.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_magic_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_map_range.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_mapping.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_math.h
 delete mode 100644 intern/cycles/kernel/shaders/node_math.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_mix.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_mix_closure.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_musgrave_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_noise.h
 delete mode 100644 intern/cycles/kernel/shaders/node_noise_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_normal.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_normal_map.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_object_info.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_output_displacement.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_output_surface.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_output_volume.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_particle_info.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_principled_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_principled_hair_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_principled_volume.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_ramp_util.h
 delete mode 100644 intern/cycles/kernel/shaders/node_refraction_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_rgb_curves.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_rgb_ramp.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_rgb_to_bw.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_scatter_volume.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_separate_hsv.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_separate_rgb.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_separate_xyz.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_set_normal.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_sky_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_subsurface_scattering.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_tangent.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_texture_coordinate.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_toon_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_translucent_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_transparent_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_uv_map.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_value.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_vector_curves.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_vector_displacement.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_vector_math.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_vector_rotate.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_vector_transform.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_velvet_bsdf.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_vertex_color.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_voronoi_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_voxel_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_wave_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_wavelength.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_white_noise_texture.osl
 delete mode 100644 intern/cycles/kernel/shaders/node_wireframe.osl
 delete mode 100644 intern/cycles/kernel/shaders/stdcycles.h
 create mode 100644 intern/cycles/kernel/util/util_color.h
 create mode 100644 intern/cycles/kernel/util/util_differential.h
 create mode 100644 intern/cycles/kernel/util/util_lookup_table.h
 create mode 100644 intern/cycles/kernel/util/util_profiling.h
 delete mode 100644 intern/cycles/render/CMakeLists.txt
 delete mode 100644 intern/cycles/render/alembic.cpp
 delete mode 100644 intern/cycles/render/alembic.h
 delete mode 100644 intern/cycles/render/alembic_read.cpp
 delete mode 100644 intern/cycles/render/alembic_read.h
 delete mode 100644 intern/cycles/render/attribute.cpp
 delete mode 100644 intern/cycles/render/attribute.h
 delete mode 100644 intern/cycles/render/background.cpp
 delete mode 100644 intern/cycles/render/background.h
 delete mode 100644 intern/cycles/render/bake.cpp
 delete mode 100644 intern/cycles/render/bake.h
 delete mode 100644 intern/cycles/render/buffers.cpp
 delete mode 100644 intern/cycles/render/buffers.h
 delete mode 100644 intern/cycles/render/camera.cpp
 delete mode 100644 intern/cycles/render/camera.h
 delete mode 100644 intern/cycles/render/colorspace.cpp
 delete mode 100644 intern/cycles/render/colorspace.h
 delete mode 100644 intern/cycles/render/constant_fold.cpp
 delete mode 100644 intern/cycles/render/constant_fold.h
 delete mode 100644 intern/cycles/render/curves.cpp
 delete mode 100644 intern/cycles/render/curves.h
 delete mode 100644 intern/cycles/render/denoising.cpp
 delete mode 100644 intern/cycles/render/denoising.h
 delete mode 100644 intern/cycles/render/display_driver.h
 delete mode 100644 intern/cycles/render/film.cpp
 delete mode 100644 intern/cycles/render/film.h
 delete mode 100644 intern/cycles/render/geometry.cpp
 delete mode 100644 intern/cycles/render/geometry.h
 delete mode 100644 intern/cycles/render/graph.cpp
 delete mode 100644 intern/cycles/render/graph.h
 delete mode 100644 intern/cycles/render/hair.cpp
 delete mode 100644 intern/cycles/render/hair.h
 delete mode 100644 intern/cycles/render/image.cpp
 delete mode 100644 intern/cycles/render/image.h
 delete mode 100644 intern/cycles/render/image_oiio.cpp
 delete mode 100644 intern/cycles/render/image_oiio.h
 delete mode 100644 intern/cycles/render/image_sky.cpp
 delete mode 100644 intern/cycles/render/image_sky.h
 delete mode 100644 intern/cycles/render/image_vdb.cpp
 delete mode 100644 intern/cycles/render/image_vdb.h
 delete mode 100644 intern/cycles/render/integrator.cpp
 delete mode 100644 intern/cycles/render/integrator.h
 delete mode 100644 intern/cycles/render/jitter.cpp
 delete mode 100644 intern/cycles/render/jitter.h
 delete mode 100644 intern/cycles/render/light.cpp
 delete mode 100644 intern/cycles/render/light.h
 delete mode 100644 intern/cycles/render/merge.cpp
 delete mode 100644 intern/cycles/render/merge.h
 delete mode 100644 intern/cycles/render/mesh.cpp
 delete mode 100644 intern/cycles/render/mesh.h
 delete mode 100644 intern/cycles/render/mesh_displace.cpp
 delete mode 100644 intern/cycles/render/mesh_subdivision.cpp
 delete mode 100644 intern/cycles/render/nodes.cpp
 delete mode 100644 intern/cycles/render/nodes.h
 delete mode 100644 intern/cycles/render/object.cpp
 delete mode 100644 intern/cycles/render/object.h
 delete mode 100644 intern/cycles/render/osl.cpp
 delete mode 100644 intern/cycles/render/osl.h
 delete mode 100644 intern/cycles/render/output_driver.h
 delete mode 100644 intern/cycles/render/particles.cpp
 delete mode 100644 intern/cycles/render/particles.h
 delete mode 100644 intern/cycles/render/pass.cpp
 delete mode 100644 intern/cycles/render/pass.h
 delete mode 100644 intern/cycles/render/procedural.cpp
 delete mode 100644 intern/cycles/render/procedural.h
 delete mode 100644 intern/cycles/render/scene.cpp
 delete mode 100644 intern/cycles/render/scene.h
 delete mode 100644 intern/cycles/render/session.cpp
 delete mode 100644 intern/cycles/render/session.h
 delete mode 100644 intern/cycles/render/shader.cpp
 delete mode 100644 intern/cycles/render/shader.h
 delete mode 100644 intern/cycles/render/sobol.cpp
 delete mode 100644 intern/cycles/render/sobol.h
 delete mode 100644 intern/cycles/render/stats.cpp
 delete mode 100644 intern/cycles/render/stats.h
 delete mode 100644 intern/cycles/render/svm.cpp
 delete mode 100644 intern/cycles/render/svm.h
 delete mode 100644 intern/cycles/render/tables.cpp
 delete mode 100644 intern/cycles/render/tables.h
 delete mode 100644 intern/cycles/render/tile.cpp
 delete mode 100644 intern/cycles/render/tile.h
 delete mode 100644 intern/cycles/render/volume.cpp
 delete mode 100644 intern/cycles/render/volume.h
 create mode 100644 intern/cycles/scene/CMakeLists.txt
 create mode 100644 intern/cycles/scene/alembic.cpp
 create mode 100644 intern/cycles/scene/alembic.h
 create mode 100644 intern/cycles/scene/alembic_read.cpp
 create mode 100644 intern/cycles/scene/alembic_read.h
 create mode 100644 intern/cycles/scene/attribute.cpp
 create mode 100644 intern/cycles/scene/attribute.h
 create mode 100644 intern/cycles/scene/background.cpp
 create mode 100644 intern/cycles/scene/background.h
 create mode 100644 intern/cycles/scene/bake.cpp
 create mode 100644 intern/cycles/scene/bake.h
 create mode 100644 intern/cycles/scene/camera.cpp
 create mode 100644 intern/cycles/scene/camera.h
 create mode 100644 intern/cycles/scene/colorspace.cpp
 create mode 100644 intern/cycles/scene/colorspace.h
 create mode 100644 intern/cycles/scene/constant_fold.cpp
 create mode 100644 intern/cycles/scene/constant_fold.h
 create mode 100644 intern/cycles/scene/curves.cpp
 create mode 100644 intern/cycles/scene/curves.h
 create mode 100644 intern/cycles/scene/film.cpp
 create mode 100644 intern/cycles/scene/film.h
 create mode 100644 intern/cycles/scene/geometry.cpp
 create mode 100644 intern/cycles/scene/geometry.h
 create mode 100644 intern/cycles/scene/hair.cpp
 create mode 100644 intern/cycles/scene/hair.h
 create mode 100644 intern/cycles/scene/image.cpp
 create mode 100644 intern/cycles/scene/image.h
 create mode 100644 intern/cycles/scene/image_oiio.cpp
 create mode 100644 intern/cycles/scene/image_oiio.h
 create mode 100644 intern/cycles/scene/image_sky.cpp
 create mode 100644 intern/cycles/scene/image_sky.h
 create mode 100644 intern/cycles/scene/image_vdb.cpp
 create mode 100644 intern/cycles/scene/image_vdb.h
 create mode 100644 intern/cycles/scene/integrator.cpp
 create mode 100644 intern/cycles/scene/integrator.h
 create mode 100644 intern/cycles/scene/jitter.cpp
 create mode 100644 intern/cycles/scene/jitter.h
 create mode 100644 intern/cycles/scene/light.cpp
 create mode 100644 intern/cycles/scene/light.h
 create mode 100644 intern/cycles/scene/mesh.cpp
 create mode 100644 intern/cycles/scene/mesh.h
 create mode 100644 intern/cycles/scene/mesh_displace.cpp
 create mode 100644 intern/cycles/scene/mesh_subdivision.cpp
 create mode 100644 intern/cycles/scene/object.cpp
 create mode 100644 intern/cycles/scene/object.h
 create mode 100644 intern/cycles/scene/osl.cpp
 create mode 100644 intern/cycles/scene/osl.h
 create mode 100644 intern/cycles/scene/particles.cpp
 create mode 100644 intern/cycles/scene/particles.h
 create mode 100644 intern/cycles/scene/pass.cpp
 create mode 100644 intern/cycles/scene/pass.h
 create mode 100644 intern/cycles/scene/procedural.cpp
 create mode 100644 intern/cycles/scene/procedural.h
 create mode 100644 intern/cycles/scene/scene.cpp
 create mode 100644 intern/cycles/scene/scene.h
 create mode 100644 intern/cycles/scene/shader.cpp
 create mode 100644 intern/cycles/scene/shader.h
 create mode 100644 intern/cycles/scene/shader_graph.cpp
 create mode 100644 intern/cycles/scene/shader_graph.h
 create mode 100644 intern/cycles/scene/shader_nodes.cpp
 create mode 100644 intern/cycles/scene/shader_nodes.h
 create mode 100644 intern/cycles/scene/sobol.cpp
 create mode 100644 intern/cycles/scene/sobol.h
 create mode 100644 intern/cycles/scene/sobol.tables
 create mode 100644 intern/cycles/scene/stats.cpp
 create mode 100644 intern/cycles/scene/stats.h
 create mode 100644 intern/cycles/scene/svm.cpp
 create mode 100644 intern/cycles/scene/svm.h
 create mode 100644 intern/cycles/scene/tables.cpp
 create mode 100644 intern/cycles/scene/tables.h
 create mode 100644 intern/cycles/scene/volume.cpp
 create mode 100644 intern/cycles/scene/volume.h
 create mode 100644 intern/cycles/session/CMakeLists.txt
 create mode 100644 intern/cycles/session/buffers.cpp
 create mode 100644 intern/cycles/session/buffers.h
 create mode 100644 intern/cycles/session/denoising.cpp
 create mode 100644 intern/cycles/session/denoising.h
 create mode 100644 intern/cycles/session/display_driver.h
 create mode 100644 intern/cycles/session/merge.cpp
 create mode 100644 intern/cycles/session/merge.h
 create mode 100644 intern/cycles/session/output_driver.h
 create mode 100644 intern/cycles/session/session.cpp
 create mode 100644 intern/cycles/session/session.h
 create mode 100644 intern/cycles/session/tile.cpp
 create mode 100644 intern/cycles/session/tile.h

(limited to 'intern')

diff --git a/intern/cycles/CMakeLists.txt b/intern/cycles/CMakeLists.txt
index 2018c1d9648..b6f3926f329 100644
--- a/intern/cycles/CMakeLists.txt
+++ b/intern/cycles/CMakeLists.txt
@@ -400,7 +400,8 @@ add_subdirectory(doc)
 add_subdirectory(graph)
 add_subdirectory(integrator)
 add_subdirectory(kernel)
-add_subdirectory(render)
+add_subdirectory(scene)
+add_subdirectory(session)
 add_subdirectory(subd)
 add_subdirectory(util)
 
diff --git a/intern/cycles/app/CMakeLists.txt b/intern/cycles/app/CMakeLists.txt
index 3ed3f54ef9f..50600793854 100644
--- a/intern/cycles/app/CMakeLists.txt
+++ b/intern/cycles/app/CMakeLists.txt
@@ -25,7 +25,8 @@ set(INC_SYS
 set(LIBRARIES
   cycles_device
   cycles_kernel
-  cycles_render
+  cycles_scene
+  cycles_session
   cycles_bvh
   cycles_subd
   cycles_graph
diff --git a/intern/cycles/app/cycles_standalone.cpp b/intern/cycles/app/cycles_standalone.cpp
index 00dc140648a..800227ccf48 100644
--- a/intern/cycles/app/cycles_standalone.cpp
+++ b/intern/cycles/app/cycles_standalone.cpp
@@ -17,11 +17,11 @@
 #include <stdio.h>
 
 #include "device/device.h"
-#include "render/buffers.h"
-#include "render/camera.h"
-#include "render/integrator.h"
-#include "render/scene.h"
-#include "render/session.h"
+#include "scene/camera.h"
+#include "scene/integrator.h"
+#include "scene/scene.h"
+#include "session/buffers.h"
+#include "session/session.h"
 
 #include "util/util_args.h"
 #include "util/util_foreach.h"
diff --git a/intern/cycles/app/cycles_xml.cpp b/intern/cycles/app/cycles_xml.cpp
index 0b83c60f32d..1ced74b6136 100644
--- a/intern/cycles/app/cycles_xml.cpp
+++ b/intern/cycles/app/cycles_xml.cpp
@@ -22,18 +22,18 @@
 
 #include "graph/node_xml.h"
 
-#include "render/background.h"
-#include "render/camera.h"
-#include "render/film.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/nodes.h"
-#include "render/object.h"
-#include "render/osl.h"
-#include "render/scene.h"
-#include "render/shader.h"
+#include "scene/background.h"
+#include "scene/camera.h"
+#include "scene/film.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/osl.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
 
 #include "subd/subd_patch.h"
 #include "subd/subd_split.h"
diff --git a/intern/cycles/app/oiio_output_driver.h b/intern/cycles/app/oiio_output_driver.h
index cdc4085d962..a6984938fe7 100644
--- a/intern/cycles/app/oiio_output_driver.h
+++ b/intern/cycles/app/oiio_output_driver.h
@@ -14,7 +14,7 @@
  * limitations under the License.
  */
 
-#include "render/output_driver.h"
+#include "session/output_driver.h"
 
 #include "util/util_function.h"
 #include "util/util_image.h"
diff --git a/intern/cycles/blender/CMakeLists.txt b/intern/cycles/blender/CMakeLists.txt
index a0442b3394b..d948f2b3118 100644
--- a/intern/cycles/blender/CMakeLists.txt
+++ b/intern/cycles/blender/CMakeLists.txt
@@ -69,7 +69,8 @@ set(LIB
   cycles_device
   cycles_graph
   cycles_kernel
-  cycles_render
+  cycles_scene
+  cycles_session
   cycles_subd
   cycles_util
 
diff --git a/intern/cycles/blender/blender_camera.cpp b/intern/cycles/blender/blender_camera.cpp
index 52acc2573f5..670e25841f5 100644
--- a/intern/cycles/blender/blender_camera.cpp
+++ b/intern/cycles/blender/blender_camera.cpp
@@ -14,8 +14,8 @@
  * limitations under the License.
  */
 
-#include "render/camera.h"
-#include "render/scene.h"
+#include "scene/camera.h"
+#include "scene/scene.h"
 
 #include "blender/blender_sync.h"
 #include "blender/blender_util.h"
diff --git a/intern/cycles/blender/blender_curves.cpp b/intern/cycles/blender/blender_curves.cpp
index b6b4f206620..84333faaa23 100644
--- a/intern/cycles/blender/blender_curves.cpp
+++ b/intern/cycles/blender/blender_curves.cpp
@@ -14,16 +14,17 @@
  * limitations under the License.
  */
 
-#include "render/attribute.h"
-#include "render/camera.h"
-#include "render/curves.h"
-#include "render/hair.h"
-#include "render/object.h"
-#include "render/scene.h"
+#include "scene/attribute.h"
+#include "scene/camera.h"
+#include "scene/curves.h"
+#include "scene/hair.h"
+#include "scene/object.h"
+#include "scene/scene.h"
 
 #include "blender/blender_sync.h"
 #include "blender/blender_util.h"
 
+#include "util/util_color.h"
 #include "util/util_foreach.h"
 #include "util/util_hash.h"
 #include "util/util_logging.h"
diff --git a/intern/cycles/blender/blender_display_driver.h b/intern/cycles/blender/blender_display_driver.h
index 5e7e9b01065..800d0791041 100644
--- a/intern/cycles/blender/blender_display_driver.h
+++ b/intern/cycles/blender/blender_display_driver.h
@@ -22,7 +22,7 @@
 
 #include "RNA_blender_cpp.h"
 
-#include "render/display_driver.h"
+#include "session/display_driver.h"
 
 #include "util/util_thread.h"
 #include "util/util_unique_ptr.h"
diff --git a/intern/cycles/blender/blender_geometry.cpp b/intern/cycles/blender/blender_geometry.cpp
index 7b49bb7fbb7..b4b0d04d104 100644
--- a/intern/cycles/blender/blender_geometry.cpp
+++ b/intern/cycles/blender/blender_geometry.cpp
@@ -15,11 +15,11 @@
  * limitations under the License.
  */
 
-#include "render/curves.h"
-#include "render/hair.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/volume.h"
+#include "scene/curves.h"
+#include "scene/hair.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/volume.h"
 
 #include "blender/blender_sync.h"
 #include "blender/blender_util.h"
diff --git a/intern/cycles/blender/blender_id_map.h b/intern/cycles/blender/blender_id_map.h
index 198cfb4b29a..27a53a90f12 100644
--- a/intern/cycles/blender/blender_id_map.h
+++ b/intern/cycles/blender/blender_id_map.h
@@ -19,8 +19,8 @@
 
 #include <string.h>
 
-#include "render/geometry.h"
-#include "render/scene.h"
+#include "scene/geometry.h"
+#include "scene/scene.h"
 
 #include "util/util_map.h"
 #include "util/util_set.h"
diff --git a/intern/cycles/blender/blender_image.h b/intern/cycles/blender/blender_image.h
index fddbbfd9c37..6f1e72c21af 100644
--- a/intern/cycles/blender/blender_image.h
+++ b/intern/cycles/blender/blender_image.h
@@ -19,7 +19,7 @@
 
 #include "RNA_blender_cpp.h"
 
-#include "render/image.h"
+#include "scene/image.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/blender/blender_light.cpp b/intern/cycles/blender/blender_light.cpp
index 4df1e720dde..aa0c6a964e4 100644
--- a/intern/cycles/blender/blender_light.cpp
+++ b/intern/cycles/blender/blender_light.cpp
@@ -16,7 +16,7 @@
  * limitations under the License.
  */
 
-#include "render/light.h"
+#include "scene/light.h"
 
 #include "blender/blender_sync.h"
 #include "blender/blender_util.h"
diff --git a/intern/cycles/blender/blender_mesh.cpp b/intern/cycles/blender/blender_mesh.cpp
index 7ec430eb7fe..992e17d6f79 100644
--- a/intern/cycles/blender/blender_mesh.cpp
+++ b/intern/cycles/blender/blender_mesh.cpp
@@ -14,11 +14,11 @@
  * limitations under the License.
  */
 
-#include "render/camera.h"
-#include "render/colorspace.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
+#include "scene/camera.h"
+#include "scene/colorspace.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
 
 #include "blender/blender_session.h"
 #include "blender/blender_sync.h"
@@ -28,6 +28,7 @@
 #include "subd/subd_split.h"
 
 #include "util/util_algorithm.h"
+#include "util/util_color.h"
 #include "util/util_disjoint_set.h"
 #include "util/util_foreach.h"
 #include "util/util_hash.h"
diff --git a/intern/cycles/blender/blender_object.cpp b/intern/cycles/blender/blender_object.cpp
index 4b1c4edef7e..75311805fd8 100644
--- a/intern/cycles/blender/blender_object.cpp
+++ b/intern/cycles/blender/blender_object.cpp
@@ -14,17 +14,17 @@
  * limitations under the License.
  */
 
-#include "render/alembic.h"
-#include "render/camera.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/nodes.h"
-#include "render/object.h"
-#include "render/particles.h"
-#include "render/scene.h"
-#include "render/shader.h"
+#include "scene/alembic.h"
+#include "scene/camera.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/particles.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
 
 #include "blender/blender_object_cull.h"
 #include "blender/blender_sync.h"
diff --git a/intern/cycles/blender/blender_object_cull.cpp b/intern/cycles/blender/blender_object_cull.cpp
index cb7827b3c4a..34cceb5a6e4 100644
--- a/intern/cycles/blender/blender_object_cull.cpp
+++ b/intern/cycles/blender/blender_object_cull.cpp
@@ -16,7 +16,7 @@
 
 #include <cstdlib>
 
-#include "render/camera.h"
+#include "scene/camera.h"
 
 #include "blender/blender_object_cull.h"
 #include "blender/blender_util.h"
diff --git a/intern/cycles/blender/blender_output_driver.h b/intern/cycles/blender/blender_output_driver.h
index 0852cba1b34..1d016f8bcb9 100644
--- a/intern/cycles/blender/blender_output_driver.h
+++ b/intern/cycles/blender/blender_output_driver.h
@@ -20,7 +20,7 @@
 
 #include "RNA_blender_cpp.h"
 
-#include "render/output_driver.h"
+#include "session/output_driver.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/blender/blender_particles.cpp b/intern/cycles/blender/blender_particles.cpp
index 206ee24a093..f654998af62 100644
--- a/intern/cycles/blender/blender_particles.cpp
+++ b/intern/cycles/blender/blender_particles.cpp
@@ -14,9 +14,9 @@
  * limitations under the License.
  */
 
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/particles.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/particles.h"
 
 #include "blender/blender_sync.h"
 #include "blender/blender_util.h"
diff --git a/intern/cycles/blender/blender_python.cpp b/intern/cycles/blender/blender_python.cpp
index d681517c9e1..45e5394cf34 100644
--- a/intern/cycles/blender/blender_python.cpp
+++ b/intern/cycles/blender/blender_python.cpp
@@ -23,8 +23,8 @@
 #include "blender/blender_sync.h"
 #include "blender/blender_util.h"
 
-#include "render/denoising.h"
-#include "render/merge.h"
+#include "session/denoising.h"
+#include "session/merge.h"
 
 #include "util/util_debug.h"
 #include "util/util_foreach.h"
@@ -39,7 +39,7 @@
 #include "util/util_types.h"
 
 #ifdef WITH_OSL
-#  include "render/osl.h"
+#  include "scene/osl.h"
 
 #  include <OSL/oslconfig.h>
 #  include <OSL/oslquery.h>
diff --git a/intern/cycles/blender/blender_session.cpp b/intern/cycles/blender/blender_session.cpp
index 0b4b5c60def..988a8159864 100644
--- a/intern/cycles/blender/blender_session.cpp
+++ b/intern/cycles/blender/blender_session.cpp
@@ -17,19 +17,19 @@
 #include <stdlib.h>
 
 #include "device/device.h"
-#include "render/background.h"
-#include "render/buffers.h"
-#include "render/camera.h"
-#include "render/colorspace.h"
-#include "render/film.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/session.h"
-#include "render/shader.h"
-#include "render/stats.h"
+#include "scene/background.h"
+#include "scene/camera.h"
+#include "scene/colorspace.h"
+#include "scene/film.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/stats.h"
+#include "session/buffers.h"
+#include "session/session.h"
 
 #include "util/util_algorithm.h"
 #include "util/util_color.h"
diff --git a/intern/cycles/blender/blender_session.h b/intern/cycles/blender/blender_session.h
index 7d3be5f8054..9bc685ec306 100644
--- a/intern/cycles/blender/blender_session.h
+++ b/intern/cycles/blender/blender_session.h
@@ -21,9 +21,9 @@
 
 #include "device/device.h"
 
-#include "render/bake.h"
-#include "render/scene.h"
-#include "render/session.h"
+#include "scene/bake.h"
+#include "scene/scene.h"
+#include "session/session.h"
 
 #include "util/util_vector.h"
 
diff --git a/intern/cycles/blender/blender_shader.cpp b/intern/cycles/blender/blender_shader.cpp
index 25e7ec71577..8d3bbb520c8 100644
--- a/intern/cycles/blender/blender_shader.cpp
+++ b/intern/cycles/blender/blender_shader.cpp
@@ -14,15 +14,15 @@
  * limitations under the License.
  */
 
-#include "render/background.h"
-#include "render/colorspace.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/nodes.h"
-#include "render/osl.h"
-#include "render/scene.h"
-#include "render/shader.h"
+#include "scene/background.h"
+#include "scene/colorspace.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/osl.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
 
 #include "blender/blender_image.h"
 #include "blender/blender_sync.h"
diff --git a/intern/cycles/blender/blender_sync.cpp b/intern/cycles/blender/blender_sync.cpp
index e0a809b9307..1725ea5ec93 100644
--- a/intern/cycles/blender/blender_sync.cpp
+++ b/intern/cycles/blender/blender_sync.cpp
@@ -14,19 +14,19 @@
  * limitations under the License.
  */
 
-#include "render/background.h"
-#include "render/camera.h"
-#include "render/curves.h"
-#include "render/film.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/nodes.h"
-#include "render/object.h"
-#include "render/procedural.h"
-#include "render/scene.h"
-#include "render/shader.h"
+#include "scene/background.h"
+#include "scene/camera.h"
+#include "scene/curves.h"
+#include "scene/film.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/procedural.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
 
 #include "device/device.h"
 
diff --git a/intern/cycles/blender/blender_sync.h b/intern/cycles/blender/blender_sync.h
index 786479ac0f8..99e3f0bf02b 100644
--- a/intern/cycles/blender/blender_sync.h
+++ b/intern/cycles/blender/blender_sync.h
@@ -26,8 +26,8 @@
 #include "blender/blender_util.h"
 #include "blender/blender_viewport.h"
 
-#include "render/scene.h"
-#include "render/session.h"
+#include "scene/scene.h"
+#include "session/session.h"
 
 #include "util/util_map.h"
 #include "util/util_set.h"
diff --git a/intern/cycles/blender/blender_util.h b/intern/cycles/blender/blender_util.h
index 77b2bd5ac4f..a3dd2349525 100644
--- a/intern/cycles/blender/blender_util.h
+++ b/intern/cycles/blender/blender_util.h
@@ -17,7 +17,7 @@
 #ifndef __BLENDER_UTIL_H__
 #define __BLENDER_UTIL_H__
 
-#include "render/mesh.h"
+#include "scene/mesh.h"
 
 #include "util/util_algorithm.h"
 #include "util/util_array.h"
diff --git a/intern/cycles/blender/blender_viewport.cpp b/intern/cycles/blender/blender_viewport.cpp
index 62e32240bba..b8deb77b621 100644
--- a/intern/cycles/blender/blender_viewport.cpp
+++ b/intern/cycles/blender/blender_viewport.cpp
@@ -17,7 +17,7 @@
 #include "blender_viewport.h"
 
 #include "blender_util.h"
-#include "render/pass.h"
+#include "scene/pass.h"
 #include "util/util_logging.h"
 
 CCL_NAMESPACE_BEGIN
diff --git a/intern/cycles/blender/blender_viewport.h b/intern/cycles/blender/blender_viewport.h
index b5adafc30c9..a445973f4d2 100644
--- a/intern/cycles/blender/blender_viewport.h
+++ b/intern/cycles/blender/blender_viewport.h
@@ -23,7 +23,7 @@
 #include "RNA_blender_cpp.h"
 #include "RNA_types.h"
 
-#include "render/film.h"
+#include "scene/film.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/blender/blender_volume.cpp b/intern/cycles/blender/blender_volume.cpp
index 0a5b19d7d4c..46083cb29dd 100644
--- a/intern/cycles/blender/blender_volume.cpp
+++ b/intern/cycles/blender/blender_volume.cpp
@@ -14,11 +14,11 @@
  * limitations under the License.
  */
 
-#include "render/colorspace.h"
-#include "render/image.h"
-#include "render/image_vdb.h"
-#include "render/object.h"
-#include "render/volume.h"
+#include "scene/colorspace.h"
+#include "scene/image.h"
+#include "scene/image_vdb.h"
+#include "scene/object.h"
+#include "scene/volume.h"
 
 #include "blender/blender_sync.h"
 #include "blender/blender_util.h"
diff --git a/intern/cycles/bvh/CMakeLists.txt b/intern/cycles/bvh/CMakeLists.txt
index 8cc72359757..f7e47a8764d 100644
--- a/intern/cycles/bvh/CMakeLists.txt
+++ b/intern/cycles/bvh/CMakeLists.txt
@@ -49,7 +49,7 @@ set(SRC_HEADERS
 )
 
 set(LIB
-  cycles_render
+  cycles_scene
   cycles_util
 )
 
diff --git a/intern/cycles/bvh/bvh2.cpp b/intern/cycles/bvh/bvh2.cpp
index 4a90a1e8796..3b864859f31 100644
--- a/intern/cycles/bvh/bvh2.cpp
+++ b/intern/cycles/bvh/bvh2.cpp
@@ -17,9 +17,9 @@
 
 #include "bvh/bvh2.h"
 
-#include "render/hair.h"
-#include "render/mesh.h"
-#include "render/object.h"
+#include "scene/hair.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
 
 #include "bvh/bvh_build.h"
 #include "bvh/bvh_node.h"
diff --git a/intern/cycles/bvh/bvh_build.cpp b/intern/cycles/bvh/bvh_build.cpp
index 025a103d6f8..9ae40b57bc3 100644
--- a/intern/cycles/bvh/bvh_build.cpp
+++ b/intern/cycles/bvh/bvh_build.cpp
@@ -22,11 +22,11 @@
 #include "bvh/bvh_params.h"
 #include "bvh_split.h"
 
-#include "render/curves.h"
-#include "render/hair.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
+#include "scene/curves.h"
+#include "scene/hair.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
 
 #include "util/util_algorithm.h"
 #include "util/util_foreach.h"
diff --git a/intern/cycles/bvh/bvh_embree.cpp b/intern/cycles/bvh/bvh_embree.cpp
index cd19e009bf3..59a72f27294 100644
--- a/intern/cycles/bvh/bvh_embree.cpp
+++ b/intern/cycles/bvh/bvh_embree.cpp
@@ -40,11 +40,11 @@
 #  include "kernel/bvh/bvh_util.h"
 #  include "kernel/device/cpu/compat.h"
 #  include "kernel/device/cpu/globals.h"
-#  include "kernel/kernel_random.h"
+#  include "kernel/sample/sample_lcg.h"
 
-#  include "render/hair.h"
-#  include "render/mesh.h"
-#  include "render/object.h"
+#  include "scene/hair.h"
+#  include "scene/mesh.h"
+#  include "scene/object.h"
 
 #  include "util/util_foreach.h"
 #  include "util/util_logging.h"
diff --git a/intern/cycles/bvh/bvh_split.cpp b/intern/cycles/bvh/bvh_split.cpp
index d4c79253834..0e7d36983e7 100644
--- a/intern/cycles/bvh/bvh_split.cpp
+++ b/intern/cycles/bvh/bvh_split.cpp
@@ -20,9 +20,9 @@
 #include "bvh/bvh_build.h"
 #include "bvh/bvh_sort.h"
 
-#include "render/hair.h"
-#include "render/mesh.h"
-#include "render/object.h"
+#include "scene/hair.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
 
 #include "util/util_algorithm.h"
 
diff --git a/intern/cycles/bvh/bvh_unaligned.cpp b/intern/cycles/bvh/bvh_unaligned.cpp
index 38e55307848..ce95aa7aa74 100644
--- a/intern/cycles/bvh/bvh_unaligned.cpp
+++ b/intern/cycles/bvh/bvh_unaligned.cpp
@@ -16,8 +16,8 @@
 
 #include "bvh/bvh_unaligned.h"
 
-#include "render/hair.h"
-#include "render/object.h"
+#include "scene/hair.h"
+#include "scene/object.h"
 
 #include "bvh/bvh_binning.h"
 #include "bvh_params.h"
diff --git a/intern/cycles/device/cpu/device_impl.cpp b/intern/cycles/device/cpu/device_impl.cpp
index d02c18daee9..98d637b5f8a 100644
--- a/intern/cycles/device/cpu/device_impl.cpp
+++ b/intern/cycles/device/cpu/device_impl.cpp
@@ -47,7 +47,7 @@
 
 #include "bvh/bvh_embree.h"
 
-#include "render/buffers.h"
+#include "session/buffers.h"
 
 #include "util/util_debug.h"
 #include "util/util_foreach.h"
diff --git a/intern/cycles/device/cuda/device_impl.cpp b/intern/cycles/device/cuda/device_impl.cpp
index 1c970096801..40f407b4fb3 100644
--- a/intern/cycles/device/cuda/device_impl.cpp
+++ b/intern/cycles/device/cuda/device_impl.cpp
@@ -24,8 +24,6 @@
 
 #  include "device/cuda/device_impl.h"
 
-#  include "render/buffers.h"
-
 #  include "util/util_debug.h"
 #  include "util/util_foreach.h"
 #  include "util/util_logging.h"
diff --git a/intern/cycles/device/device_denoise.h b/intern/cycles/device/device_denoise.h
index dfdc7cc87b3..4e09f1a1ba3 100644
--- a/intern/cycles/device/device_denoise.h
+++ b/intern/cycles/device/device_denoise.h
@@ -18,7 +18,7 @@
 
 #include "device/device_memory.h"
 #include "graph/node.h"
-#include "render/buffers.h"
+#include "session/buffers.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/device/device_graphics_interop.h b/intern/cycles/device/device_graphics_interop.h
index eaf76077141..e5c97fe5a1e 100644
--- a/intern/cycles/device/device_graphics_interop.h
+++ b/intern/cycles/device/device_graphics_interop.h
@@ -16,7 +16,7 @@
 
 #pragma once
 
-#include "render/display_driver.h"
+#include "session/display_driver.h"
 
 #include "util/util_types.h"
 
diff --git a/intern/cycles/device/hip/device_impl.cpp b/intern/cycles/device/hip/device_impl.cpp
index 4ae714913ab..9ffeb9724a1 100644
--- a/intern/cycles/device/hip/device_impl.cpp
+++ b/intern/cycles/device/hip/device_impl.cpp
@@ -24,8 +24,6 @@
 
 #  include "device/hip/device_impl.h"
 
-#  include "render/buffers.h"
-
 #  include "util/util_debug.h"
 #  include "util/util_foreach.h"
 #  include "util/util_logging.h"
diff --git a/intern/cycles/device/multi/device.cpp b/intern/cycles/device/multi/device.cpp
index 4f995abf2c4..330a1ed06ef 100644
--- a/intern/cycles/device/multi/device.cpp
+++ b/intern/cycles/device/multi/device.cpp
@@ -24,8 +24,7 @@
 #include "device/device.h"
 #include "device/device_queue.h"
 
-#include "render/buffers.h"
-#include "render/geometry.h"
+#include "scene/geometry.h"
 
 #include "util/util_foreach.h"
 #include "util/util_list.h"
diff --git a/intern/cycles/device/optix/device_impl.cpp b/intern/cycles/device/optix/device_impl.cpp
index 29e46be7745..55c3fbd88f2 100644
--- a/intern/cycles/device/optix/device_impl.cpp
+++ b/intern/cycles/device/optix/device_impl.cpp
@@ -21,13 +21,14 @@
 
 #  include "bvh/bvh.h"
 #  include "bvh/bvh_optix.h"
+
 #  include "integrator/pass_accessor_gpu.h"
-#  include "render/buffers.h"
-#  include "render/hair.h"
-#  include "render/mesh.h"
-#  include "render/object.h"
-#  include "render/pass.h"
-#  include "render/scene.h"
+
+#  include "scene/hair.h"
+#  include "scene/mesh.h"
+#  include "scene/object.h"
+#  include "scene/pass.h"
+#  include "scene/scene.h"
 
 #  include "util/util_debug.h"
 #  include "util/util_logging.h"
diff --git a/intern/cycles/integrator/CMakeLists.txt b/intern/cycles/integrator/CMakeLists.txt
index 949254606b8..dedde513409 100644
--- a/intern/cycles/integrator/CMakeLists.txt
+++ b/intern/cycles/integrator/CMakeLists.txt
@@ -61,9 +61,11 @@ set(SRC_HEADERS
 )
 
 set(LIB
+  cycles_device
+
   # NOTE: Is required for RenderBuffers access. Might consider moving files around a bit to
   # avoid such cyclic dependency.
-  cycles_render
+  cycles_session
 
   cycles_util
 )
diff --git a/intern/cycles/integrator/denoiser.cpp b/intern/cycles/integrator/denoiser.cpp
index 598bbd497a5..45f967b38eb 100644
--- a/intern/cycles/integrator/denoiser.cpp
+++ b/intern/cycles/integrator/denoiser.cpp
@@ -19,7 +19,7 @@
 #include "device/device.h"
 #include "integrator/denoiser_oidn.h"
 #include "integrator/denoiser_optix.h"
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_logging.h"
 #include "util/util_progress.h"
 
diff --git a/intern/cycles/integrator/denoiser_device.cpp b/intern/cycles/integrator/denoiser_device.cpp
index e8361c50f2f..1afd8d46866 100644
--- a/intern/cycles/integrator/denoiser_device.cpp
+++ b/intern/cycles/integrator/denoiser_device.cpp
@@ -20,7 +20,7 @@
 #include "device/device_denoise.h"
 #include "device/device_memory.h"
 #include "device/device_queue.h"
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_logging.h"
 #include "util/util_progress.h"
 
diff --git a/intern/cycles/integrator/denoiser_oidn.cpp b/intern/cycles/integrator/denoiser_oidn.cpp
index cc9a3f51387..c3555008699 100644
--- a/intern/cycles/integrator/denoiser_oidn.cpp
+++ b/intern/cycles/integrator/denoiser_oidn.cpp
@@ -21,7 +21,7 @@
 #include "device/device.h"
 #include "device/device_queue.h"
 #include "integrator/pass_accessor_cpu.h"
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_array.h"
 #include "util/util_logging.h"
 #include "util/util_openimagedenoise.h"
diff --git a/intern/cycles/integrator/pass_accessor.cpp b/intern/cycles/integrator/pass_accessor.cpp
index 1308b03b06c..0a8c445eca7 100644
--- a/intern/cycles/integrator/pass_accessor.cpp
+++ b/intern/cycles/integrator/pass_accessor.cpp
@@ -16,7 +16,7 @@
 
 #include "integrator/pass_accessor.h"
 
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_logging.h"
 
 // clang-format off
diff --git a/intern/cycles/integrator/pass_accessor.h b/intern/cycles/integrator/pass_accessor.h
index 624bf7d0b2c..c9cf3ba8956 100644
--- a/intern/cycles/integrator/pass_accessor.h
+++ b/intern/cycles/integrator/pass_accessor.h
@@ -16,7 +16,7 @@
 
 #pragma once
 
-#include "render/pass.h"
+#include "scene/pass.h"
 #include "util/util_half.h"
 #include "util/util_string.h"
 #include "util/util_types.h"
diff --git a/intern/cycles/integrator/pass_accessor_cpu.cpp b/intern/cycles/integrator/pass_accessor_cpu.cpp
index e3cb81d31b7..f3ca38c667d 100644
--- a/intern/cycles/integrator/pass_accessor_cpu.cpp
+++ b/intern/cycles/integrator/pass_accessor_cpu.cpp
@@ -16,7 +16,7 @@
 
 #include "integrator/pass_accessor_cpu.h"
 
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_logging.h"
 #include "util/util_tbb.h"
 
@@ -24,7 +24,7 @@
 #include "kernel/device/cpu/compat.h"
 #include "kernel/device/cpu/globals.h"
 #include "kernel/kernel_types.h"
-#include "kernel/kernel_film.h"
+#include "kernel/film/film_read.h"
 // clang-format on
 
 CCL_NAMESPACE_BEGIN
diff --git a/intern/cycles/integrator/pass_accessor_gpu.cpp b/intern/cycles/integrator/pass_accessor_gpu.cpp
index 7b01d061708..3b4290a89e6 100644
--- a/intern/cycles/integrator/pass_accessor_gpu.cpp
+++ b/intern/cycles/integrator/pass_accessor_gpu.cpp
@@ -17,7 +17,7 @@
 #include "integrator/pass_accessor_gpu.h"
 
 #include "device/device_queue.h"
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_logging.h"
 
 CCL_NAMESPACE_BEGIN
diff --git a/intern/cycles/integrator/path_trace.cpp b/intern/cycles/integrator/path_trace.cpp
index 9f3049c6484..94687f7bc95 100644
--- a/intern/cycles/integrator/path_trace.cpp
+++ b/intern/cycles/integrator/path_trace.cpp
@@ -22,9 +22,9 @@
 #include "integrator/path_trace_display.h"
 #include "integrator/path_trace_tile.h"
 #include "integrator/render_scheduler.h"
-#include "render/pass.h"
-#include "render/scene.h"
-#include "render/tile.h"
+#include "scene/pass.h"
+#include "scene/scene.h"
+#include "session/tile.h"
 #include "util/util_algorithm.h"
 #include "util/util_logging.h"
 #include "util/util_progress.h"
diff --git a/intern/cycles/integrator/path_trace.h b/intern/cycles/integrator/path_trace.h
index dbb22c204d9..89fa5fa8eaf 100644
--- a/intern/cycles/integrator/path_trace.h
+++ b/intern/cycles/integrator/path_trace.h
@@ -20,7 +20,7 @@
 #include "integrator/pass_accessor.h"
 #include "integrator/path_trace_work.h"
 #include "integrator/work_balancer.h"
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_function.h"
 #include "util/util_thread.h"
 #include "util/util_unique_ptr.h"
diff --git a/intern/cycles/integrator/path_trace_display.cpp b/intern/cycles/integrator/path_trace_display.cpp
index e22989bb301..7455a107ae6 100644
--- a/intern/cycles/integrator/path_trace_display.cpp
+++ b/intern/cycles/integrator/path_trace_display.cpp
@@ -16,7 +16,7 @@
 
 #include "integrator/path_trace_display.h"
 
-#include "render/buffers.h"
+#include "session/buffers.h"
 
 #include "util/util_logging.h"
 
diff --git a/intern/cycles/integrator/path_trace_display.h b/intern/cycles/integrator/path_trace_display.h
index 99d2e0e1203..d40e45e7ead 100644
--- a/intern/cycles/integrator/path_trace_display.h
+++ b/intern/cycles/integrator/path_trace_display.h
@@ -16,7 +16,7 @@
 
 #pragma once
 
-#include "render/display_driver.h"
+#include "session/display_driver.h"
 
 #include "util/util_half.h"
 #include "util/util_thread.h"
diff --git a/intern/cycles/integrator/path_trace_tile.cpp b/intern/cycles/integrator/path_trace_tile.cpp
index 540f4aa5f68..4834769f476 100644
--- a/intern/cycles/integrator/path_trace_tile.cpp
+++ b/intern/cycles/integrator/path_trace_tile.cpp
@@ -18,10 +18,10 @@
 #include "integrator/pass_accessor_cpu.h"
 #include "integrator/path_trace.h"
 
-#include "render/buffers.h"
-#include "render/film.h"
-#include "render/pass.h"
-#include "render/scene.h"
+#include "scene/film.h"
+#include "scene/pass.h"
+#include "scene/scene.h"
+#include "session/buffers.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/integrator/path_trace_tile.h b/intern/cycles/integrator/path_trace_tile.h
index fd3e2969f6c..6c7bddf2ca5 100644
--- a/intern/cycles/integrator/path_trace_tile.h
+++ b/intern/cycles/integrator/path_trace_tile.h
@@ -16,7 +16,7 @@
 
 #pragma once
 
-#include "render/output_driver.h"
+#include "session/output_driver.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/integrator/path_trace_work.cpp b/intern/cycles/integrator/path_trace_work.cpp
index d46f095d0d7..e08c410a579 100644
--- a/intern/cycles/integrator/path_trace_work.cpp
+++ b/intern/cycles/integrator/path_trace_work.cpp
@@ -20,9 +20,9 @@
 #include "integrator/path_trace_work.h"
 #include "integrator/path_trace_work_cpu.h"
 #include "integrator/path_trace_work_gpu.h"
-#include "render/buffers.h"
-#include "render/film.h"
-#include "render/scene.h"
+#include "scene/film.h"
+#include "scene/scene.h"
+#include "session/buffers.h"
 
 #include "kernel/kernel_types.h"
 
diff --git a/intern/cycles/integrator/path_trace_work.h b/intern/cycles/integrator/path_trace_work.h
index 404165b7c55..6b2a6c71e81 100644
--- a/intern/cycles/integrator/path_trace_work.h
+++ b/intern/cycles/integrator/path_trace_work.h
@@ -17,8 +17,8 @@
 #pragma once
 
 #include "integrator/pass_accessor.h"
-#include "render/buffers.h"
-#include "render/pass.h"
+#include "scene/pass.h"
+#include "session/buffers.h"
 #include "util/util_types.h"
 #include "util/util_unique_ptr.h"
 
diff --git a/intern/cycles/integrator/path_trace_work_cpu.cpp b/intern/cycles/integrator/path_trace_work_cpu.cpp
index 1cadcd9ec5c..1e59682a64c 100644
--- a/intern/cycles/integrator/path_trace_work_cpu.cpp
+++ b/intern/cycles/integrator/path_trace_work_cpu.cpp
@@ -19,13 +19,13 @@
 #include "device/cpu/kernel.h"
 #include "device/device.h"
 
-#include "kernel/kernel_path_state.h"
+#include "kernel/integrator/integrator_path_state.h"
 
 #include "integrator/pass_accessor_cpu.h"
 #include "integrator/path_trace_display.h"
 
-#include "render/buffers.h"
-#include "render/scene.h"
+#include "scene/scene.h"
+#include "session/buffers.h"
 
 #include "util/util_atomic.h"
 #include "util/util_logging.h"
diff --git a/intern/cycles/integrator/path_trace_work_gpu.cpp b/intern/cycles/integrator/path_trace_work_gpu.cpp
index 775cee57a90..67e5ae70316 100644
--- a/intern/cycles/integrator/path_trace_work_gpu.cpp
+++ b/intern/cycles/integrator/path_trace_work_gpu.cpp
@@ -20,8 +20,8 @@
 #include "device/device.h"
 
 #include "integrator/pass_accessor_gpu.h"
-#include "render/buffers.h"
-#include "render/scene.h"
+#include "scene/scene.h"
+#include "session/buffers.h"
 #include "util/util_logging.h"
 #include "util/util_string.h"
 #include "util/util_tbb.h"
diff --git a/intern/cycles/integrator/render_scheduler.cpp b/intern/cycles/integrator/render_scheduler.cpp
index 322d3d5f94c..3c64cba5feb 100644
--- a/intern/cycles/integrator/render_scheduler.cpp
+++ b/intern/cycles/integrator/render_scheduler.cpp
@@ -16,8 +16,8 @@
 
 #include "integrator/render_scheduler.h"
 
-#include "render/session.h"
-#include "render/tile.h"
+#include "session/session.h"
+#include "session/tile.h"
 #include "util/util_logging.h"
 #include "util/util_math.h"
 #include "util/util_time.h"
diff --git a/intern/cycles/integrator/render_scheduler.h b/intern/cycles/integrator/render_scheduler.h
index c4ab15e54ba..a2c1e75d3b6 100644
--- a/intern/cycles/integrator/render_scheduler.h
+++ b/intern/cycles/integrator/render_scheduler.h
@@ -18,7 +18,7 @@
 
 #include "integrator/adaptive_sampling.h"
 #include "integrator/denoiser.h" /* For DenoiseParams. */
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_string.h"
 
 CCL_NAMESPACE_BEGIN
diff --git a/intern/cycles/integrator/work_tile_scheduler.cpp b/intern/cycles/integrator/work_tile_scheduler.cpp
index 234b1fae915..a6775f27b65 100644
--- a/intern/cycles/integrator/work_tile_scheduler.cpp
+++ b/intern/cycles/integrator/work_tile_scheduler.cpp
@@ -18,7 +18,7 @@
 
 #include "device/device_queue.h"
 #include "integrator/tile.h"
-#include "render/buffers.h"
+#include "session/buffers.h"
 #include "util/util_atomic.h"
 #include "util/util_logging.h"
 
diff --git a/intern/cycles/kernel/CMakeLists.txt b/intern/cycles/kernel/CMakeLists.txt
index 6d5d386ddea..f27bcb41d3d 100644
--- a/intern/cycles/kernel/CMakeLists.txt
+++ b/intern/cycles/kernel/CMakeLists.txt
@@ -44,7 +44,8 @@ set(SRC_DEVICE_OPTIX
   device/optix/kernel_shader_raytrace.cu
 )
 
-set(SRC_BVH_HEADERS
+set(SRC_HEADERS
+  bake/bake.h
   bvh/bvh.h
   bvh/bvh_nodes.h
   bvh/bvh_shadow_all.h
@@ -55,36 +56,32 @@ set(SRC_BVH_HEADERS
   bvh/bvh_volume.h
   bvh/bvh_volume_all.h
   bvh/bvh_embree.h
-)
-
-set(SRC_HEADERS
-  kernel_accumulate.h
-  kernel_adaptive_sampling.h
-  kernel_bake.h
-  kernel_camera.h
-  kernel_color.h
-  kernel_differential.h
-  kernel_emission.h
-  kernel_film.h
-  kernel_id_passes.h
-  kernel_jitter.h
-  kernel_light.h
-  kernel_light_background.h
-  kernel_light_common.h
-  kernel_lookup_table.h
-  kernel_math.h
-  kernel_montecarlo.h
-  kernel_passes.h
-  kernel_path_state.h
-  kernel_profiling.h
-  kernel_projection.h
-  kernel_random.h
-  kernel_shader.h
-  kernel_shadow_catcher.h
+  camera/camera.h
+  camera/camera_projection.h
+  film/film_accumulate.h
+  film/film_adaptive_sampling.h
+  film/film_id_passes.h
+  film/film_passes.h
+  film/film_read.h
+  film/film_write_passes.h
+  integrator/integrator_path_state.h
+  integrator/integrator_shader_eval.h
+  integrator/integrator_shadow_catcher.h
   kernel_textures.h
   kernel_types.h
-  kernel_work_stealing.h
-  kernel_write_passes.h
+  light/light.h
+  light/light_background.h
+  light/light_common.h
+  light/light_sample.h
+  sample/sample_jitter.h
+  sample/sample_lcg.h
+  sample/sample_mapping.h
+  sample/sample_mis.h
+  sample/sample_pattern.h
+  util/util_color.h
+  util/util_differential.h
+  util/util_lookup_table.h
+  util/util_profiling.h
 )
 
 set(SRC_DEVICE_CPU_HEADERS
@@ -102,6 +99,7 @@ set(SRC_DEVICE_GPU_HEADERS
   device/gpu/parallel_prefix_sum.h
   device/gpu/parallel_reduce.h
   device/gpu/parallel_sorted_index.h
+  device/gpu/work_stealing.h
 )
 
 set(SRC_DEVICE_CUDA_HEADERS
@@ -666,7 +664,7 @@ if(WITH_CYCLES_OSL)
     cycles_kernel_osl
   )
   add_subdirectory(osl)
-  add_subdirectory(shaders)
+  add_subdirectory(osl/shaders)
 endif()
 
 # CPU module
diff --git a/intern/cycles/kernel/bake/bake.h b/intern/cycles/kernel/bake/bake.h
new file mode 100644
index 00000000000..e234d56bd3c
--- /dev/null
+++ b/intern/cycles/kernel/bake/bake.h
@@ -0,0 +1,119 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/camera/camera_projection.h"
+#include "kernel/integrator/integrator_shader_eval.h"
+
+#include "kernel/geom/geom.h"
+
+CCL_NAMESPACE_BEGIN
+
+ccl_device void kernel_displace_evaluate(KernelGlobals kg,
+                                         ccl_global const KernelShaderEvalInput *input,
+                                         ccl_global float *output,
+                                         const int offset)
+{
+  /* Setup shader data. */
+  const KernelShaderEvalInput in = input[offset];
+
+  ShaderData sd;
+  shader_setup_from_displace(kg, &sd, in.object, in.prim, in.u, in.v);
+
+  /* Evaluate displacement shader. */
+  const float3 P = sd.P;
+  shader_eval_displacement(kg, INTEGRATOR_STATE_NULL, &sd);
+  float3 D = sd.P - P;
+
+  object_inverse_dir_transform(kg, &sd, &D);
+
+#ifdef __KERNEL_DEBUG_NAN__
+  if (!isfinite3_safe(D)) {
+    kernel_assert(!"Cycles displacement with non-finite value detected");
+  }
+#endif
+
+  /* Ensure finite displacement, preventing BVH from becoming degenerate and avoiding possible
+   * traversal issues caused by non-finite math. */
+  D = ensure_finite3(D);
+
+  /* Write output. */
+  output[offset * 3 + 0] += D.x;
+  output[offset * 3 + 1] += D.y;
+  output[offset * 3 + 2] += D.z;
+}
+
+ccl_device void kernel_background_evaluate(KernelGlobals kg,
+                                           ccl_global const KernelShaderEvalInput *input,
+                                           ccl_global float *output,
+                                           const int offset)
+{
+  /* Setup ray */
+  const KernelShaderEvalInput in = input[offset];
+  const float3 ray_P = zero_float3();
+  const float3 ray_D = equirectangular_to_direction(in.u, in.v);
+  const float ray_time = 0.5f;
+
+  /* Setup shader data. */
+  ShaderData sd;
+  shader_setup_from_background(kg, &sd, ray_P, ray_D, ray_time);
+
+  /* Evaluate shader.
+   * This is being evaluated for all BSDFs, so path flag does not contain a specific type. */
+  const uint32_t path_flag = PATH_RAY_EMISSION;
+  shader_eval_surface<KERNEL_FEATURE_NODE_MASK_SURFACE_LIGHT &
+                      ~(KERNEL_FEATURE_NODE_RAYTRACE | KERNEL_FEATURE_NODE_LIGHT_PATH)>(
+      kg, INTEGRATOR_STATE_NULL, &sd, NULL, path_flag);
+  float3 color = shader_background_eval(&sd);
+
+#ifdef __KERNEL_DEBUG_NAN__
+  if (!isfinite3_safe(color)) {
+    kernel_assert(!"Cycles background with non-finite value detected");
+  }
+#endif
+
+  /* Ensure finite color, avoiding possible numerical instabilities in the path tracing kernels. */
+  color = ensure_finite3(color);
+
+  /* Write output. */
+  output[offset * 3 + 0] += color.x;
+  output[offset * 3 + 1] += color.y;
+  output[offset * 3 + 2] += color.z;
+}
+
+ccl_device void kernel_curve_shadow_transparency_evaluate(
+    KernelGlobals kg,
+    ccl_global const KernelShaderEvalInput *input,
+    ccl_global float *output,
+    const int offset)
+{
+  /* Setup shader data. */
+  const KernelShaderEvalInput in = input[offset];
+
+  ShaderData sd;
+  shader_setup_from_curve(kg, &sd, in.object, in.prim, __float_as_int(in.v), in.u);
+
+  /* Evaluate transparency. */
+  shader_eval_surface<KERNEL_FEATURE_NODE_MASK_SURFACE_SHADOW &
+                      ~(KERNEL_FEATURE_NODE_RAYTRACE | KERNEL_FEATURE_NODE_LIGHT_PATH)>(
+      kg, INTEGRATOR_STATE_NULL, &sd, NULL, PATH_RAY_SHADOW);
+
+  /* Write output. */
+  output[offset] = clamp(average(shader_bsdf_transparency(kg, &sd)), 0.0f, 1.0f);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/camera/camera.h b/intern/cycles/kernel/camera/camera.h
new file mode 100644
index 00000000000..66bc25bb879
--- /dev/null
+++ b/intern/cycles/kernel/camera/camera.h
@@ -0,0 +1,521 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/camera/camera_projection.h"
+#include "kernel/sample/sample_mapping.h"
+#include "kernel/util/util_differential.h"
+#include "kernel/util/util_lookup_table.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Perspective Camera */
+
+ccl_device float2 camera_sample_aperture(ccl_constant KernelCamera *cam, float u, float v)
+{
+  float blades = cam->blades;
+  float2 bokeh;
+
+  if (blades == 0.0f) {
+    /* sample disk */
+    bokeh = concentric_sample_disk(u, v);
+  }
+  else {
+    /* sample polygon */
+    float rotation = cam->bladesrotation;
+    bokeh = regular_polygon_sample(blades, rotation, u, v);
+  }
+
+  /* anamorphic lens bokeh */
+  bokeh.x *= cam->inv_aperture_ratio;
+
+  return bokeh;
+}
+
+ccl_device void camera_sample_perspective(KernelGlobals kg,
+                                          float raster_x,
+                                          float raster_y,
+                                          float lens_u,
+                                          float lens_v,
+                                          ccl_private Ray *ray)
+{
+  /* create ray form raster position */
+  ProjectionTransform rastertocamera = kernel_data.cam.rastertocamera;
+  float3 raster = make_float3(raster_x, raster_y, 0.0f);
+  float3 Pcamera = transform_perspective(&rastertocamera, raster);
+
+#ifdef __CAMERA_MOTION__
+  if (kernel_data.cam.have_perspective_motion) {
+    /* TODO(sergey): Currently we interpolate projected coordinate which
+     * gives nice looking result and which is simple, but is in fact a bit
+     * different comparing to constructing projective matrix from an
+     * interpolated field of view.
+     */
+    if (ray->time < 0.5f) {
+      ProjectionTransform rastertocamera_pre = kernel_data.cam.perspective_pre;
+      float3 Pcamera_pre = transform_perspective(&rastertocamera_pre, raster);
+      Pcamera = interp(Pcamera_pre, Pcamera, ray->time * 2.0f);
+    }
+    else {
+      ProjectionTransform rastertocamera_post = kernel_data.cam.perspective_post;
+      float3 Pcamera_post = transform_perspective(&rastertocamera_post, raster);
+      Pcamera = interp(Pcamera, Pcamera_post, (ray->time - 0.5f) * 2.0f);
+    }
+  }
+#endif
+
+  float3 P = zero_float3();
+  float3 D = Pcamera;
+
+  /* modify ray for depth of field */
+  float aperturesize = kernel_data.cam.aperturesize;
+
+  if (aperturesize > 0.0f) {
+    /* sample point on aperture */
+    float2 lensuv = camera_sample_aperture(&kernel_data.cam, lens_u, lens_v) * aperturesize;
+
+    /* compute point on plane of focus */
+    float ft = kernel_data.cam.focaldistance / D.z;
+    float3 Pfocus = D * ft;
+
+    /* update ray for effect of lens */
+    P = make_float3(lensuv.x, lensuv.y, 0.0f);
+    D = normalize(Pfocus - P);
+  }
+
+  /* transform ray from camera to world */
+  Transform cameratoworld = kernel_data.cam.cameratoworld;
+
+#ifdef __CAMERA_MOTION__
+  if (kernel_data.cam.num_motion_steps) {
+    transform_motion_array_interpolate(&cameratoworld,
+                                       kernel_tex_array(__camera_motion),
+                                       kernel_data.cam.num_motion_steps,
+                                       ray->time);
+  }
+#endif
+
+  P = transform_point(&cameratoworld, P);
+  D = normalize(transform_direction(&cameratoworld, D));
+
+  bool use_stereo = kernel_data.cam.interocular_offset != 0.0f;
+  if (!use_stereo) {
+    /* No stereo */
+    ray->P = P;
+    ray->D = D;
+
+#ifdef __RAY_DIFFERENTIALS__
+    float3 Dcenter = transform_direction(&cameratoworld, Pcamera);
+    float3 Dcenter_normalized = normalize(Dcenter);
+
+    /* TODO: can this be optimized to give compact differentials directly? */
+    ray->dP = differential_zero_compact();
+    differential3 dD;
+    dD.dx = normalize(Dcenter + float4_to_float3(kernel_data.cam.dx)) - Dcenter_normalized;
+    dD.dy = normalize(Dcenter + float4_to_float3(kernel_data.cam.dy)) - Dcenter_normalized;
+    ray->dD = differential_make_compact(dD);
+#endif
+  }
+  else {
+    /* Spherical stereo */
+    spherical_stereo_transform(&kernel_data.cam, &P, &D);
+    ray->P = P;
+    ray->D = D;
+
+#ifdef __RAY_DIFFERENTIALS__
+    /* Ray differentials, computed from scratch using the raster coordinates
+     * because we don't want to be affected by depth of field. We compute
+     * ray origin and direction for the center and two neighboring pixels
+     * and simply take their differences. */
+    float3 Pnostereo = transform_point(&cameratoworld, zero_float3());
+
+    float3 Pcenter = Pnostereo;
+    float3 Dcenter = Pcamera;
+    Dcenter = normalize(transform_direction(&cameratoworld, Dcenter));
+    spherical_stereo_transform(&kernel_data.cam, &Pcenter, &Dcenter);
+
+    float3 Px = Pnostereo;
+    float3 Dx = transform_perspective(&rastertocamera,
+                                      make_float3(raster_x + 1.0f, raster_y, 0.0f));
+    Dx = normalize(transform_direction(&cameratoworld, Dx));
+    spherical_stereo_transform(&kernel_data.cam, &Px, &Dx);
+
+    differential3 dP, dD;
+
+    dP.dx = Px - Pcenter;
+    dD.dx = Dx - Dcenter;
+
+    float3 Py = Pnostereo;
+    float3 Dy = transform_perspective(&rastertocamera,
+                                      make_float3(raster_x, raster_y + 1.0f, 0.0f));
+    Dy = normalize(transform_direction(&cameratoworld, Dy));
+    spherical_stereo_transform(&kernel_data.cam, &Py, &Dy);
+
+    dP.dy = Py - Pcenter;
+    dD.dy = Dy - Dcenter;
+    ray->dD = differential_make_compact(dD);
+    ray->dP = differential_make_compact(dP);
+#endif
+  }
+
+#ifdef __CAMERA_CLIPPING__
+  /* clipping */
+  float z_inv = 1.0f / normalize(Pcamera).z;
+  float nearclip = kernel_data.cam.nearclip * z_inv;
+  ray->P += nearclip * ray->D;
+  ray->dP += nearclip * ray->dD;
+  ray->t = kernel_data.cam.cliplength * z_inv;
+#else
+  ray->t = FLT_MAX;
+#endif
+}
+
+/* Orthographic Camera */
+ccl_device void camera_sample_orthographic(KernelGlobals kg,
+                                           float raster_x,
+                                           float raster_y,
+                                           float lens_u,
+                                           float lens_v,
+                                           ccl_private Ray *ray)
+{
+  /* create ray form raster position */
+  ProjectionTransform rastertocamera = kernel_data.cam.rastertocamera;
+  float3 Pcamera = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
+
+  float3 P;
+  float3 D = make_float3(0.0f, 0.0f, 1.0f);
+
+  /* modify ray for depth of field */
+  float aperturesize = kernel_data.cam.aperturesize;
+
+  if (aperturesize > 0.0f) {
+    /* sample point on aperture */
+    float2 lensuv = camera_sample_aperture(&kernel_data.cam, lens_u, lens_v) * aperturesize;
+
+    /* compute point on plane of focus */
+    float3 Pfocus = D * kernel_data.cam.focaldistance;
+
+    /* update ray for effect of lens */
+    float3 lensuvw = make_float3(lensuv.x, lensuv.y, 0.0f);
+    P = Pcamera + lensuvw;
+    D = normalize(Pfocus - lensuvw);
+  }
+  else {
+    P = Pcamera;
+  }
+  /* transform ray from camera to world */
+  Transform cameratoworld = kernel_data.cam.cameratoworld;
+
+#ifdef __CAMERA_MOTION__
+  if (kernel_data.cam.num_motion_steps) {
+    transform_motion_array_interpolate(&cameratoworld,
+                                       kernel_tex_array(__camera_motion),
+                                       kernel_data.cam.num_motion_steps,
+                                       ray->time);
+  }
+#endif
+
+  ray->P = transform_point(&cameratoworld, P);
+  ray->D = normalize(transform_direction(&cameratoworld, D));
+
+#ifdef __RAY_DIFFERENTIALS__
+  /* ray differential */
+  differential3 dP;
+  dP.dx = float4_to_float3(kernel_data.cam.dx);
+  dP.dy = float4_to_float3(kernel_data.cam.dx);
+
+  ray->dP = differential_make_compact(dP);
+  ray->dD = differential_zero_compact();
+#endif
+
+#ifdef __CAMERA_CLIPPING__
+  /* clipping */
+  ray->t = kernel_data.cam.cliplength;
+#else
+  ray->t = FLT_MAX;
+#endif
+}
+
+/* Panorama Camera */
+
+ccl_device_inline void camera_sample_panorama(ccl_constant KernelCamera *cam,
+#ifdef __CAMERA_MOTION__
+                                              ccl_global const DecomposedTransform *cam_motion,
+#endif
+                                              float raster_x,
+                                              float raster_y,
+                                              float lens_u,
+                                              float lens_v,
+                                              ccl_private Ray *ray)
+{
+  ProjectionTransform rastertocamera = cam->rastertocamera;
+  float3 Pcamera = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
+
+  /* create ray form raster position */
+  float3 P = zero_float3();
+  float3 D = panorama_to_direction(cam, Pcamera.x, Pcamera.y);
+
+  /* indicates ray should not receive any light, outside of the lens */
+  if (is_zero(D)) {
+    ray->t = 0.0f;
+    return;
+  }
+
+  /* modify ray for depth of field */
+  float aperturesize = cam->aperturesize;
+
+  if (aperturesize > 0.0f) {
+    /* sample point on aperture */
+    float2 lensuv = camera_sample_aperture(cam, lens_u, lens_v) * aperturesize;
+
+    /* compute point on plane of focus */
+    float3 Dfocus = normalize(D);
+    float3 Pfocus = Dfocus * cam->focaldistance;
+
+    /* calculate orthonormal coordinates perpendicular to Dfocus */
+    float3 U, V;
+    U = normalize(make_float3(1.0f, 0.0f, 0.0f) - Dfocus.x * Dfocus);
+    V = normalize(cross(Dfocus, U));
+
+    /* update ray for effect of lens */
+    P = U * lensuv.x + V * lensuv.y;
+    D = normalize(Pfocus - P);
+  }
+
+  /* transform ray from camera to world */
+  Transform cameratoworld = cam->cameratoworld;
+
+#ifdef __CAMERA_MOTION__
+  if (cam->num_motion_steps) {
+    transform_motion_array_interpolate(
+        &cameratoworld, cam_motion, cam->num_motion_steps, ray->time);
+  }
+#endif
+
+  P = transform_point(&cameratoworld, P);
+  D = normalize(transform_direction(&cameratoworld, D));
+
+  /* Stereo transform */
+  bool use_stereo = cam->interocular_offset != 0.0f;
+  if (use_stereo) {
+    spherical_stereo_transform(cam, &P, &D);
+  }
+
+  ray->P = P;
+  ray->D = D;
+
+#ifdef __RAY_DIFFERENTIALS__
+  /* Ray differentials, computed from scratch using the raster coordinates
+   * because we don't want to be affected by depth of field. We compute
+   * ray origin and direction for the center and two neighboring pixels
+   * and simply take their differences. */
+  float3 Pcenter = Pcamera;
+  float3 Dcenter = panorama_to_direction(cam, Pcenter.x, Pcenter.y);
+  Pcenter = transform_point(&cameratoworld, Pcenter);
+  Dcenter = normalize(transform_direction(&cameratoworld, Dcenter));
+  if (use_stereo) {
+    spherical_stereo_transform(cam, &Pcenter, &Dcenter);
+  }
+
+  float3 Px = transform_perspective(&rastertocamera, make_float3(raster_x + 1.0f, raster_y, 0.0f));
+  float3 Dx = panorama_to_direction(cam, Px.x, Px.y);
+  Px = transform_point(&cameratoworld, Px);
+  Dx = normalize(transform_direction(&cameratoworld, Dx));
+  if (use_stereo) {
+    spherical_stereo_transform(cam, &Px, &Dx);
+  }
+
+  differential3 dP, dD;
+  dP.dx = Px - Pcenter;
+  dD.dx = Dx - Dcenter;
+
+  float3 Py = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y + 1.0f, 0.0f));
+  float3 Dy = panorama_to_direction(cam, Py.x, Py.y);
+  Py = transform_point(&cameratoworld, Py);
+  Dy = normalize(transform_direction(&cameratoworld, Dy));
+  if (use_stereo) {
+    spherical_stereo_transform(cam, &Py, &Dy);
+  }
+
+  dP.dy = Py - Pcenter;
+  dD.dy = Dy - Dcenter;
+  ray->dD = differential_make_compact(dD);
+  ray->dP = differential_make_compact(dP);
+#endif
+
+#ifdef __CAMERA_CLIPPING__
+  /* clipping */
+  float nearclip = cam->nearclip;
+  ray->P += nearclip * ray->D;
+  ray->dP += nearclip * ray->dD;
+  ray->t = cam->cliplength;
+#else
+  ray->t = FLT_MAX;
+#endif
+}
+
+/* Common */
+
+ccl_device_inline void camera_sample(KernelGlobals kg,
+                                     int x,
+                                     int y,
+                                     float filter_u,
+                                     float filter_v,
+                                     float lens_u,
+                                     float lens_v,
+                                     float time,
+                                     ccl_private Ray *ray)
+{
+  /* pixel filter */
+  int filter_table_offset = kernel_data.film.filter_table_offset;
+  float raster_x = x + lookup_table_read(kg, filter_u, filter_table_offset, FILTER_TABLE_SIZE);
+  float raster_y = y + lookup_table_read(kg, filter_v, filter_table_offset, FILTER_TABLE_SIZE);
+
+#ifdef __CAMERA_MOTION__
+  /* motion blur */
+  if (kernel_data.cam.shuttertime == -1.0f) {
+    ray->time = 0.5f;
+  }
+  else {
+    /* TODO(sergey): Such lookup is unneeded when there's rolling shutter
+     * effect in use but rolling shutter duration is set to 0.0.
+     */
+    const int shutter_table_offset = kernel_data.cam.shutter_table_offset;
+    ray->time = lookup_table_read(kg, time, shutter_table_offset, SHUTTER_TABLE_SIZE);
+    /* TODO(sergey): Currently single rolling shutter effect type only
+     * where scan-lines are acquired from top to bottom and whole scan-line
+     * is acquired at once (no delay in acquisition happens between pixels
+     * of single scan-line).
+     *
+     * Might want to support more models in the future.
+     */
+    if (kernel_data.cam.rolling_shutter_type) {
+      /* Time corresponding to a fully rolling shutter only effect:
+       * top of the frame is time 0.0, bottom of the frame is time 1.0.
+       */
+      const float time = 1.0f - (float)y / kernel_data.cam.height;
+      const float duration = kernel_data.cam.rolling_shutter_duration;
+      if (duration != 0.0f) {
+        /* This isn't fully physical correct, but lets us to have simple
+         * controls in the interface. The idea here is basically sort of
+         * linear interpolation between how much rolling shutter effect
+         * exist on the frame and how much of it is a motion blur effect.
+         */
+        ray->time = (ray->time - 0.5f) * duration;
+        ray->time += (time - 0.5f) * (1.0f - duration) + 0.5f;
+      }
+      else {
+        ray->time = time;
+      }
+    }
+  }
+#endif
+
+  /* sample */
+  if (kernel_data.cam.type == CAMERA_PERSPECTIVE) {
+    camera_sample_perspective(kg, raster_x, raster_y, lens_u, lens_v, ray);
+  }
+  else if (kernel_data.cam.type == CAMERA_ORTHOGRAPHIC) {
+    camera_sample_orthographic(kg, raster_x, raster_y, lens_u, lens_v, ray);
+  }
+  else {
+#ifdef __CAMERA_MOTION__
+    ccl_global const DecomposedTransform *cam_motion = kernel_tex_array(__camera_motion);
+    camera_sample_panorama(&kernel_data.cam, cam_motion, raster_x, raster_y, lens_u, lens_v, ray);
+#else
+    camera_sample_panorama(&kernel_data.cam, raster_x, raster_y, lens_u, lens_v, ray);
+#endif
+  }
+}
+
+/* Utilities */
+
+ccl_device_inline float3 camera_position(KernelGlobals kg)
+{
+  Transform cameratoworld = kernel_data.cam.cameratoworld;
+  return make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
+}
+
+ccl_device_inline float camera_distance(KernelGlobals kg, float3 P)
+{
+  Transform cameratoworld = kernel_data.cam.cameratoworld;
+  float3 camP = make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
+
+  if (kernel_data.cam.type == CAMERA_ORTHOGRAPHIC) {
+    float3 camD = make_float3(cameratoworld.x.z, cameratoworld.y.z, cameratoworld.z.z);
+    return fabsf(dot((P - camP), camD));
+  }
+  else {
+    return len(P - camP);
+  }
+}
+
+ccl_device_inline float camera_z_depth(KernelGlobals kg, float3 P)
+{
+  if (kernel_data.cam.type != CAMERA_PANORAMA) {
+    Transform worldtocamera = kernel_data.cam.worldtocamera;
+    return transform_point(&worldtocamera, P).z;
+  }
+  else {
+    Transform cameratoworld = kernel_data.cam.cameratoworld;
+    float3 camP = make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
+    return len(P - camP);
+  }
+}
+
+ccl_device_inline float3 camera_direction_from_point(KernelGlobals kg, float3 P)
+{
+  Transform cameratoworld = kernel_data.cam.cameratoworld;
+
+  if (kernel_data.cam.type == CAMERA_ORTHOGRAPHIC) {
+    float3 camD = make_float3(cameratoworld.x.z, cameratoworld.y.z, cameratoworld.z.z);
+    return -camD;
+  }
+  else {
+    float3 camP = make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
+    return normalize(camP - P);
+  }
+}
+
+ccl_device_inline float3 camera_world_to_ndc(KernelGlobals kg,
+                                             ccl_private ShaderData *sd,
+                                             float3 P)
+{
+  if (kernel_data.cam.type != CAMERA_PANORAMA) {
+    /* perspective / ortho */
+    if (sd->object == PRIM_NONE && kernel_data.cam.type == CAMERA_PERSPECTIVE)
+      P += camera_position(kg);
+
+    ProjectionTransform tfm = kernel_data.cam.worldtondc;
+    return transform_perspective(&tfm, P);
+  }
+  else {
+    /* panorama */
+    Transform tfm = kernel_data.cam.worldtocamera;
+
+    if (sd->object != OBJECT_NONE)
+      P = normalize(transform_point(&tfm, P));
+    else
+      P = normalize(transform_direction(&tfm, P));
+
+    float2 uv = direction_to_panorama(&kernel_data.cam, P);
+
+    return make_float3(uv.x, uv.y, 0.0f);
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/camera/camera_projection.h b/intern/cycles/kernel/camera/camera_projection.h
new file mode 100644
index 00000000000..0aea82fa812
--- /dev/null
+++ b/intern/cycles/kernel/camera/camera_projection.h
@@ -0,0 +1,258 @@
+/*
+ * Parts adapted from Open Shading Language with this license:
+ *
+ * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
+ * All Rights Reserved.
+ *
+ * Modifications Copyright 2011, Blender Foundation.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ * * Redistributions of source code must retain the above copyright
+ *   notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright
+ *   notice, this list of conditions and the following disclaimer in the
+ *   documentation and/or other materials provided with the distribution.
+ * * Neither the name of Sony Pictures Imageworks nor the names of its
+ *   contributors may be used to endorse or promote products derived from
+ *   this software without specific prior written permission.
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* Spherical coordinates <-> Cartesian direction. */
+
+ccl_device float2 direction_to_spherical(float3 dir)
+{
+  float theta = safe_acosf(dir.z);
+  float phi = atan2f(dir.x, dir.y);
+
+  return make_float2(theta, phi);
+}
+
+ccl_device float3 spherical_to_direction(float theta, float phi)
+{
+  float sin_theta = sinf(theta);
+  return make_float3(sin_theta * cosf(phi), sin_theta * sinf(phi), cosf(theta));
+}
+
+/* Equirectangular coordinates <-> Cartesian direction */
+
+ccl_device float2 direction_to_equirectangular_range(float3 dir, float4 range)
+{
+  if (is_zero(dir))
+    return zero_float2();
+
+  float u = (atan2f(dir.y, dir.x) - range.y) / range.x;
+  float v = (acosf(dir.z / len(dir)) - range.w) / range.z;
+
+  return make_float2(u, v);
+}
+
+ccl_device float3 equirectangular_range_to_direction(float u, float v, float4 range)
+{
+  float phi = range.x * u + range.y;
+  float theta = range.z * v + range.w;
+  float sin_theta = sinf(theta);
+  return make_float3(sin_theta * cosf(phi), sin_theta * sinf(phi), cosf(theta));
+}
+
+ccl_device float2 direction_to_equirectangular(float3 dir)
+{
+  return direction_to_equirectangular_range(dir, make_float4(-M_2PI_F, M_PI_F, -M_PI_F, M_PI_F));
+}
+
+ccl_device float3 equirectangular_to_direction(float u, float v)
+{
+  return equirectangular_range_to_direction(u, v, make_float4(-M_2PI_F, M_PI_F, -M_PI_F, M_PI_F));
+}
+
+/* Fisheye <-> Cartesian direction */
+
+ccl_device float2 direction_to_fisheye(float3 dir, float fov)
+{
+  float r = atan2f(sqrtf(dir.y * dir.y + dir.z * dir.z), dir.x) / fov;
+  float phi = atan2f(dir.z, dir.y);
+
+  float u = r * cosf(phi) + 0.5f;
+  float v = r * sinf(phi) + 0.5f;
+
+  return make_float2(u, v);
+}
+
+ccl_device float3 fisheye_to_direction(float u, float v, float fov)
+{
+  u = (u - 0.5f) * 2.0f;
+  v = (v - 0.5f) * 2.0f;
+
+  float r = sqrtf(u * u + v * v);
+
+  if (r > 1.0f)
+    return zero_float3();
+
+  float phi = safe_acosf((r != 0.0f) ? u / r : 0.0f);
+  float theta = r * fov * 0.5f;
+
+  if (v < 0.0f)
+    phi = -phi;
+
+  return make_float3(cosf(theta), -cosf(phi) * sinf(theta), sinf(phi) * sinf(theta));
+}
+
+ccl_device float2 direction_to_fisheye_equisolid(float3 dir, float lens, float width, float height)
+{
+  float theta = safe_acosf(dir.x);
+  float r = 2.0f * lens * sinf(theta * 0.5f);
+  float phi = atan2f(dir.z, dir.y);
+
+  float u = r * cosf(phi) / width + 0.5f;
+  float v = r * sinf(phi) / height + 0.5f;
+
+  return make_float2(u, v);
+}
+
+ccl_device_inline float3
+fisheye_equisolid_to_direction(float u, float v, float lens, float fov, float width, float height)
+{
+  u = (u - 0.5f) * width;
+  v = (v - 0.5f) * height;
+
+  float rmax = 2.0f * lens * sinf(fov * 0.25f);
+  float r = sqrtf(u * u + v * v);
+
+  if (r > rmax)
+    return zero_float3();
+
+  float phi = safe_acosf((r != 0.0f) ? u / r : 0.0f);
+  float theta = 2.0f * asinf(r / (2.0f * lens));
+
+  if (v < 0.0f)
+    phi = -phi;
+
+  return make_float3(cosf(theta), -cosf(phi) * sinf(theta), sinf(phi) * sinf(theta));
+}
+
+/* Mirror Ball <-> Cartesion direction */
+
+ccl_device float3 mirrorball_to_direction(float u, float v)
+{
+  /* point on sphere */
+  float3 dir;
+
+  dir.x = 2.0f * u - 1.0f;
+  dir.z = 2.0f * v - 1.0f;
+
+  if (dir.x * dir.x + dir.z * dir.z > 1.0f)
+    return zero_float3();
+
+  dir.y = -sqrtf(max(1.0f - dir.x * dir.x - dir.z * dir.z, 0.0f));
+
+  /* reflection */
+  float3 I = make_float3(0.0f, -1.0f, 0.0f);
+
+  return 2.0f * dot(dir, I) * dir - I;
+}
+
+ccl_device float2 direction_to_mirrorball(float3 dir)
+{
+  /* inverse of mirrorball_to_direction */
+  dir.y -= 1.0f;
+
+  float div = 2.0f * sqrtf(max(-0.5f * dir.y, 0.0f));
+  if (div > 0.0f)
+    dir /= div;
+
+  float u = 0.5f * (dir.x + 1.0f);
+  float v = 0.5f * (dir.z + 1.0f);
+
+  return make_float2(u, v);
+}
+
+ccl_device_inline float3 panorama_to_direction(ccl_constant KernelCamera *cam, float u, float v)
+{
+  switch (cam->panorama_type) {
+    case PANORAMA_EQUIRECTANGULAR:
+      return equirectangular_range_to_direction(u, v, cam->equirectangular_range);
+    case PANORAMA_MIRRORBALL:
+      return mirrorball_to_direction(u, v);
+    case PANORAMA_FISHEYE_EQUIDISTANT:
+      return fisheye_to_direction(u, v, cam->fisheye_fov);
+    case PANORAMA_FISHEYE_EQUISOLID:
+    default:
+      return fisheye_equisolid_to_direction(
+          u, v, cam->fisheye_lens, cam->fisheye_fov, cam->sensorwidth, cam->sensorheight);
+  }
+}
+
+ccl_device_inline float2 direction_to_panorama(ccl_constant KernelCamera *cam, float3 dir)
+{
+  switch (cam->panorama_type) {
+    case PANORAMA_EQUIRECTANGULAR:
+      return direction_to_equirectangular_range(dir, cam->equirectangular_range);
+    case PANORAMA_MIRRORBALL:
+      return direction_to_mirrorball(dir);
+    case PANORAMA_FISHEYE_EQUIDISTANT:
+      return direction_to_fisheye(dir, cam->fisheye_fov);
+    case PANORAMA_FISHEYE_EQUISOLID:
+    default:
+      return direction_to_fisheye_equisolid(
+          dir, cam->fisheye_lens, cam->sensorwidth, cam->sensorheight);
+  }
+}
+
+ccl_device_inline void spherical_stereo_transform(ccl_constant KernelCamera *cam,
+                                                  ccl_private float3 *P,
+                                                  ccl_private float3 *D)
+{
+  float interocular_offset = cam->interocular_offset;
+
+  /* Interocular offset of zero means either non stereo, or stereo without
+   * spherical stereo. */
+  kernel_assert(interocular_offset != 0.0f);
+
+  if (cam->pole_merge_angle_to > 0.0f) {
+    const float pole_merge_angle_from = cam->pole_merge_angle_from,
+                pole_merge_angle_to = cam->pole_merge_angle_to;
+    float altitude = fabsf(safe_asinf((*D).z));
+    if (altitude > pole_merge_angle_to) {
+      interocular_offset = 0.0f;
+    }
+    else if (altitude > pole_merge_angle_from) {
+      float fac = (altitude - pole_merge_angle_from) /
+                  (pole_merge_angle_to - pole_merge_angle_from);
+      float fade = cosf(fac * M_PI_2_F);
+      interocular_offset *= fade;
+    }
+  }
+
+  float3 up = make_float3(0.0f, 0.0f, 1.0f);
+  float3 side = normalize(cross(*D, up));
+  float3 stereo_offset = side * interocular_offset;
+
+  *P += stereo_offset;
+
+  /* Convergence distance is FLT_MAX in the case of parallel convergence mode,
+   * no need to modify direction in this case either. */
+  const float convergence_distance = cam->convergence_distance;
+
+  if (convergence_distance != FLT_MAX) {
+    float3 screen_offset = convergence_distance * (*D);
+    *D = normalize(screen_offset - stereo_offset);
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/closure/bsdf_ashikhmin_velvet.h b/intern/cycles/kernel/closure/bsdf_ashikhmin_velvet.h
index c00890be54c..fa88c66f536 100644
--- a/intern/cycles/kernel/closure/bsdf_ashikhmin_velvet.h
+++ b/intern/cycles/kernel/closure/bsdf_ashikhmin_velvet.h
@@ -32,7 +32,7 @@
 
 #pragma once
 
-#include "kernel/kernel_montecarlo.h"
+#include "kernel/sample/sample_mapping.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/closure/bsdf_diffuse.h b/intern/cycles/kernel/closure/bsdf_diffuse.h
index 16c9b428004..dd3b4500b1f 100644
--- a/intern/cycles/kernel/closure/bsdf_diffuse.h
+++ b/intern/cycles/kernel/closure/bsdf_diffuse.h
@@ -32,6 +32,8 @@
 
 #pragma once
 
+#include "kernel/sample/sample_mapping.h"
+
 CCL_NAMESPACE_BEGIN
 
 typedef struct DiffuseBsdf {
diff --git a/intern/cycles/kernel/closure/bsdf_diffuse_ramp.h b/intern/cycles/kernel/closure/bsdf_diffuse_ramp.h
index 8bff7709a32..1e70d3e534e 100644
--- a/intern/cycles/kernel/closure/bsdf_diffuse_ramp.h
+++ b/intern/cycles/kernel/closure/bsdf_diffuse_ramp.h
@@ -32,6 +32,8 @@
 
 #pragma once
 
+#include "kernel/sample/sample_mapping.h"
+
 CCL_NAMESPACE_BEGIN
 
 #ifdef __OSL__
diff --git a/intern/cycles/kernel/closure/bsdf_hair_principled.h b/intern/cycles/kernel/closure/bsdf_hair_principled.h
index a474c5661b3..ff554d4a60e 100644
--- a/intern/cycles/kernel/closure/bsdf_hair_principled.h
+++ b/intern/cycles/kernel/closure/bsdf_hair_principled.h
@@ -20,7 +20,7 @@
 #  include <fenv.h>
 #endif
 
-#include "kernel/kernel_color.h"
+#include "kernel/util/util_color.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/closure/bsdf_microfacet.h b/intern/cycles/kernel/closure/bsdf_microfacet.h
index a4e1b7a491c..28aac368f2b 100644
--- a/intern/cycles/kernel/closure/bsdf_microfacet.h
+++ b/intern/cycles/kernel/closure/bsdf_microfacet.h
@@ -32,8 +32,8 @@
 
 #pragma once
 
-#include "kernel/kernel_lookup_table.h"
-#include "kernel/kernel_random.h"
+#include "kernel/sample/sample_pattern.h"
+#include "kernel/util/util_lookup_table.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/closure/bsdf_microfacet_multi.h b/intern/cycles/kernel/closure/bsdf_microfacet_multi.h
index b7bd7faaa54..b1ab8d7ffd0 100644
--- a/intern/cycles/kernel/closure/bsdf_microfacet_multi.h
+++ b/intern/cycles/kernel/closure/bsdf_microfacet_multi.h
@@ -16,6 +16,9 @@
 
 #pragma once
 
+#include "kernel/sample/sample_lcg.h"
+#include "kernel/sample/sample_mapping.h"
+
 CCL_NAMESPACE_BEGIN
 
 /* Most of the code is based on the supplemental implementations from
diff --git a/intern/cycles/kernel/closure/bsdf_principled_diffuse.h b/intern/cycles/kernel/closure/bsdf_principled_diffuse.h
index 74390f768a2..0e3b21117b5 100644
--- a/intern/cycles/kernel/closure/bsdf_principled_diffuse.h
+++ b/intern/cycles/kernel/closure/bsdf_principled_diffuse.h
@@ -27,6 +27,8 @@
 
 #include "kernel/closure/bsdf_util.h"
 
+#include "kernel/sample/sample_mapping.h"
+
 CCL_NAMESPACE_BEGIN
 
 enum PrincipledDiffuseBsdfComponents {
diff --git a/intern/cycles/kernel/closure/bsdf_util.h b/intern/cycles/kernel/closure/bsdf_util.h
index 873494c1e03..b1c16a037df 100644
--- a/intern/cycles/kernel/closure/bsdf_util.h
+++ b/intern/cycles/kernel/closure/bsdf_util.h
@@ -148,4 +148,110 @@ interpolate_fresnel_color(float3 L, float3 H, float ior, float F0, float3 cspec0
   return cspec0 * (1.0f - FH) + make_float3(1.0f, 1.0f, 1.0f) * FH;
 }
 
+ccl_device float3 ensure_valid_reflection(float3 Ng, float3 I, float3 N)
+{
+  float3 R = 2 * dot(N, I) * N - I;
+
+  /* Reflection rays may always be at least as shallow as the incoming ray. */
+  float threshold = min(0.9f * dot(Ng, I), 0.01f);
+  if (dot(Ng, R) >= threshold) {
+    return N;
+  }
+
+  /* Form coordinate system with Ng as the Z axis and N inside the X-Z-plane.
+   * The X axis is found by normalizing the component of N that's orthogonal to Ng.
+   * The Y axis isn't actually needed.
+   */
+  float NdotNg = dot(N, Ng);
+  float3 X = normalize(N - NdotNg * Ng);
+
+  /* Keep math expressions. */
+  /* clang-format off */
+  /* Calculate N.z and N.x in the local coordinate system.
+   *
+   * The goal of this computation is to find a N' that is rotated towards Ng just enough
+   * to lift R' above the threshold (here called t), therefore dot(R', Ng) = t.
+   *
+   * According to the standard reflection equation,
+   * this means that we want dot(2*dot(N', I)*N' - I, Ng) = t.
+   *
+   * Since the Z axis of our local coordinate system is Ng, dot(x, Ng) is just x.z, so we get
+   * 2*dot(N', I)*N'.z - I.z = t.
+   *
+   * The rotation is simple to express in the coordinate system we formed -
+   * since N lies in the X-Z-plane, we know that N' will also lie in the X-Z-plane,
+   * so N'.y = 0 and therefore dot(N', I) = N'.x*I.x + N'.z*I.z .
+   *
+   * Furthermore, we want N' to be normalized, so N'.x = sqrt(1 - N'.z^2).
+   *
+   * With these simplifications,
+   * we get the final equation 2*(sqrt(1 - N'.z^2)*I.x + N'.z*I.z)*N'.z - I.z = t.
+   *
+   * The only unknown here is N'.z, so we can solve for that.
+   *
+   * The equation has four solutions in general:
+   *
+   * N'.z = +-sqrt(0.5*(+-sqrt(I.x^2*(I.x^2 + I.z^2 - t^2)) + t*I.z + I.x^2 + I.z^2)/(I.x^2 + I.z^2))
+   * We can simplify this expression a bit by grouping terms:
+   *
+   * a = I.x^2 + I.z^2
+   * b = sqrt(I.x^2 * (a - t^2))
+   * c = I.z*t + a
+   * N'.z = +-sqrt(0.5*(+-b + c)/a)
+   *
+   * Two solutions can immediately be discarded because they're negative so N' would lie in the
+   * lower hemisphere.
+   */
+  /* clang-format on */
+
+  float Ix = dot(I, X), Iz = dot(I, Ng);
+  float Ix2 = sqr(Ix), Iz2 = sqr(Iz);
+  float a = Ix2 + Iz2;
+
+  float b = safe_sqrtf(Ix2 * (a - sqr(threshold)));
+  float c = Iz * threshold + a;
+
+  /* Evaluate both solutions.
+   * In many cases one can be immediately discarded (if N'.z would be imaginary or larger than
+   * one), so check for that first. If no option is viable (might happen in extreme cases like N
+   * being in the wrong hemisphere), give up and return Ng. */
+  float fac = 0.5f / a;
+  float N1_z2 = fac * (b + c), N2_z2 = fac * (-b + c);
+  bool valid1 = (N1_z2 > 1e-5f) && (N1_z2 <= (1.0f + 1e-5f));
+  bool valid2 = (N2_z2 > 1e-5f) && (N2_z2 <= (1.0f + 1e-5f));
+
+  float2 N_new;
+  if (valid1 && valid2) {
+    /* If both are possible, do the expensive reflection-based check. */
+    float2 N1 = make_float2(safe_sqrtf(1.0f - N1_z2), safe_sqrtf(N1_z2));
+    float2 N2 = make_float2(safe_sqrtf(1.0f - N2_z2), safe_sqrtf(N2_z2));
+
+    float R1 = 2 * (N1.x * Ix + N1.y * Iz) * N1.y - Iz;
+    float R2 = 2 * (N2.x * Ix + N2.y * Iz) * N2.y - Iz;
+
+    valid1 = (R1 >= 1e-5f);
+    valid2 = (R2 >= 1e-5f);
+    if (valid1 && valid2) {
+      /* If both solutions are valid, return the one with the shallower reflection since it will be
+       * closer to the input (if the original reflection wasn't shallow, we would not be in this
+       * part of the function). */
+      N_new = (R1 < R2) ? N1 : N2;
+    }
+    else {
+      /* If only one reflection is valid (= positive), pick that one. */
+      N_new = (R1 > R2) ? N1 : N2;
+    }
+  }
+  else if (valid1 || valid2) {
+    /* Only one solution passes the N'.z criterium, so pick that one. */
+    float Nz2 = valid1 ? N1_z2 : N2_z2;
+    N_new = make_float2(safe_sqrtf(1.0f - Nz2), safe_sqrtf(Nz2));
+  }
+  else {
+    return Ng;
+  }
+
+  return N_new.x * X + N_new.y * Ng;
+}
+
 CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/device/cpu/globals.h b/intern/cycles/kernel/device/cpu/globals.h
index fb9aae38cfc..f3e530a9edc 100644
--- a/intern/cycles/kernel/device/cpu/globals.h
+++ b/intern/cycles/kernel/device/cpu/globals.h
@@ -18,8 +18,8 @@
 
 #pragma once
 
-#include "kernel/kernel_profiling.h"
 #include "kernel/kernel_types.h"
+#include "kernel/util/util_profiling.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/device/cpu/kernel_arch_impl.h b/intern/cycles/kernel/device/cpu/kernel_arch_impl.h
index ba777062113..148b6a33cb5 100644
--- a/intern/cycles/kernel/device/cpu/kernel_arch_impl.h
+++ b/intern/cycles/kernel/device/cpu/kernel_arch_impl.h
@@ -46,10 +46,11 @@
 #    include "kernel/integrator/integrator_shade_volume.h"
 #    include "kernel/integrator/integrator_megakernel.h"
 
-#    include "kernel/kernel_film.h"
-#    include "kernel/kernel_adaptive_sampling.h"
-#    include "kernel/kernel_bake.h"
-# include "kernel/kernel_id_passes.h"
+#    include "kernel/film/film_adaptive_sampling.h"
+#    include "kernel/film/film_read.h"
+#    include "kernel/film/film_id_passes.h"
+
+#    include "kernel/bake/bake.h"
 
 #else
 #  define STUB_ASSERT(arch, name) \
diff --git a/intern/cycles/kernel/device/cuda/globals.h b/intern/cycles/kernel/device/cuda/globals.h
index 2c187cf8a23..cde935198b3 100644
--- a/intern/cycles/kernel/device/cuda/globals.h
+++ b/intern/cycles/kernel/device/cuda/globals.h
@@ -18,11 +18,12 @@
 
 #pragma once
 
-#include "kernel/kernel_profiling.h"
 #include "kernel/kernel_types.h"
 
 #include "kernel/integrator/integrator_state.h"
 
+#include "kernel/util/util_profiling.h"
+
 CCL_NAMESPACE_BEGIN
 
 /* Not actually used, just a NULL pointer that gets passed everywhere, which we
diff --git a/intern/cycles/kernel/device/gpu/kernel.h b/intern/cycles/kernel/device/gpu/kernel.h
index 335cb1ec0c0..aa360b3016a 100644
--- a/intern/cycles/kernel/device/gpu/kernel.h
+++ b/intern/cycles/kernel/device/gpu/kernel.h
@@ -19,6 +19,7 @@
 #include "kernel/device/gpu/parallel_active_index.h"
 #include "kernel/device/gpu/parallel_prefix_sum.h"
 #include "kernel/device/gpu/parallel_sorted_index.h"
+#include "kernel/device/gpu/work_stealing.h"
 
 #include "kernel/integrator/integrator_state.h"
 #include "kernel/integrator/integrator_state_flow.h"
@@ -36,10 +37,10 @@
 #include "kernel/integrator/integrator_shade_surface.h"
 #include "kernel/integrator/integrator_shade_volume.h"
 
-#include "kernel/kernel_adaptive_sampling.h"
-#include "kernel/kernel_bake.h"
-#include "kernel/kernel_film.h"
-#include "kernel/kernel_work_stealing.h"
+#include "kernel/bake/bake.h"
+
+#include "kernel/film/film_adaptive_sampling.h"
+#include "kernel/film/film_read.h"
 
 /* --------------------------------------------------------------------
  * Integrator.
diff --git a/intern/cycles/kernel/device/gpu/work_stealing.h b/intern/cycles/kernel/device/gpu/work_stealing.h
new file mode 100644
index 00000000000..fab0915c38e
--- /dev/null
+++ b/intern/cycles/kernel/device/gpu/work_stealing.h
@@ -0,0 +1,52 @@
+/*
+ * Copyright 2011-2015 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/*
+ * Utility functions for work stealing
+ */
+
+/* Map global work index to tile, pixel X/Y and sample. */
+ccl_device_inline void get_work_pixel(ccl_global const KernelWorkTile *tile,
+                                      uint global_work_index,
+                                      ccl_private uint *x,
+                                      ccl_private uint *y,
+                                      ccl_private uint *sample)
+{
+#if 0
+  /* Keep threads for the same sample together. */
+  uint tile_pixels = tile->w * tile->h;
+  uint sample_offset = global_work_index / tile_pixels;
+  uint pixel_offset = global_work_index - sample_offset * tile_pixels;
+#else
+  /* Keeping threads for the same pixel together.
+   * Appears to improve performance by a few % on CUDA and OptiX. */
+  uint sample_offset = global_work_index % tile->num_samples;
+  uint pixel_offset = global_work_index / tile->num_samples;
+#endif
+
+  uint y_offset = pixel_offset / tile->w;
+  uint x_offset = pixel_offset - y_offset * tile->w;
+
+  *x = tile->x + x_offset;
+  *y = tile->y + y_offset;
+  *sample = tile->start_sample + sample_offset;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/device/hip/globals.h b/intern/cycles/kernel/device/hip/globals.h
index 28e1cc4282f..079944bd8f2 100644
--- a/intern/cycles/kernel/device/hip/globals.h
+++ b/intern/cycles/kernel/device/hip/globals.h
@@ -18,11 +18,12 @@
 
 #pragma once
 
-#include "kernel/kernel_profiling.h"
 #include "kernel/kernel_types.h"
 
 #include "kernel/integrator/integrator_state.h"
 
+#include "kernel/util/util_profiling.h"
+
 CCL_NAMESPACE_BEGIN
 
 /* Not actually used, just a NULL pointer that gets passed everywhere, which we
diff --git a/intern/cycles/kernel/device/optix/globals.h b/intern/cycles/kernel/device/optix/globals.h
index 7b8ebfe50e6..e038bc1797a 100644
--- a/intern/cycles/kernel/device/optix/globals.h
+++ b/intern/cycles/kernel/device/optix/globals.h
@@ -18,11 +18,12 @@
 
 #pragma once
 
-#include "kernel/kernel_profiling.h"
 #include "kernel/kernel_types.h"
 
 #include "kernel/integrator/integrator_state.h"
 
+#include "kernel/util/util_profiling.h"
+
 CCL_NAMESPACE_BEGIN
 
 /* Not actually used, just a NULL pointer that gets passed everywhere, which we
diff --git a/intern/cycles/kernel/film/film_accumulate.h b/intern/cycles/kernel/film/film_accumulate.h
new file mode 100644
index 00000000000..91424fdbe21
--- /dev/null
+++ b/intern/cycles/kernel/film/film_accumulate.h
@@ -0,0 +1,559 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/film/film_adaptive_sampling.h"
+#include "kernel/film/film_write_passes.h"
+
+#include "kernel/integrator/integrator_shadow_catcher.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* --------------------------------------------------------------------
+ * BSDF Evaluation
+ *
+ * BSDF evaluation result, split between diffuse and glossy. This is used to
+ * accumulate render passes separately. Note that reflection, transmission
+ * and volume scattering are written to different render passes, but we assume
+ * that only one of those can happen at a bounce, and so do not need to accumulate
+ * them separately. */
+
+ccl_device_inline void bsdf_eval_init(ccl_private BsdfEval *eval,
+                                      const bool is_diffuse,
+                                      float3 value)
+{
+  eval->diffuse = zero_float3();
+  eval->glossy = zero_float3();
+
+  if (is_diffuse) {
+    eval->diffuse = value;
+  }
+  else {
+    eval->glossy = value;
+  }
+}
+
+ccl_device_inline void bsdf_eval_accum(ccl_private BsdfEval *eval,
+                                       const bool is_diffuse,
+                                       float3 value,
+                                       float mis_weight)
+{
+  value *= mis_weight;
+
+  if (is_diffuse) {
+    eval->diffuse += value;
+  }
+  else {
+    eval->glossy += value;
+  }
+}
+
+ccl_device_inline bool bsdf_eval_is_zero(ccl_private BsdfEval *eval)
+{
+  return is_zero(eval->diffuse) && is_zero(eval->glossy);
+}
+
+ccl_device_inline void bsdf_eval_mul(ccl_private BsdfEval *eval, float value)
+{
+  eval->diffuse *= value;
+  eval->glossy *= value;
+}
+
+ccl_device_inline void bsdf_eval_mul3(ccl_private BsdfEval *eval, float3 value)
+{
+  eval->diffuse *= value;
+  eval->glossy *= value;
+}
+
+ccl_device_inline float3 bsdf_eval_sum(ccl_private const BsdfEval *eval)
+{
+  return eval->diffuse + eval->glossy;
+}
+
+ccl_device_inline float3 bsdf_eval_diffuse_glossy_ratio(ccl_private const BsdfEval *eval)
+{
+  /* Ratio of diffuse and glossy to recover proportions for writing to render pass.
+   * We assume reflection, transmission and volume scatter to be exclusive. */
+  return safe_divide_float3_float3(eval->diffuse, eval->diffuse + eval->glossy);
+}
+
+/* --------------------------------------------------------------------
+ * Clamping
+ *
+ * Clamping is done on a per-contribution basis so that we can write directly
+ * to render buffers instead of using per-thread memory, and to avoid the
+ * impact of clamping on other contributions. */
+
+ccl_device_forceinline void kernel_accum_clamp(KernelGlobals kg, ccl_private float3 *L, int bounce)
+{
+#ifdef __KERNEL_DEBUG_NAN__
+  if (!isfinite3_safe(*L)) {
+    kernel_assert(!"Cycles sample with non-finite value detected");
+  }
+#endif
+  /* Make sure all components are finite, allowing the contribution to be usable by adaptive
+   * sampling convergence check, but also to make it so render result never causes issues with
+   * post-processing. */
+  *L = ensure_finite3(*L);
+
+#ifdef __CLAMP_SAMPLE__
+  float limit = (bounce > 0) ? kernel_data.integrator.sample_clamp_indirect :
+                               kernel_data.integrator.sample_clamp_direct;
+  float sum = reduce_add(fabs(*L));
+  if (sum > limit) {
+    *L *= limit / sum;
+  }
+#endif
+}
+
+/* --------------------------------------------------------------------
+ * Pass accumulation utilities.
+ */
+
+/* Get pointer to pixel in render buffer. */
+ccl_device_forceinline ccl_global float *kernel_accum_pixel_render_buffer(
+    KernelGlobals kg, ConstIntegratorState state, ccl_global float *ccl_restrict render_buffer)
+{
+  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, path, render_pixel_index);
+  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
+                                        kernel_data.film.pass_stride;
+  return render_buffer + render_buffer_offset;
+}
+
+/* --------------------------------------------------------------------
+ * Adaptive sampling.
+ */
+
+ccl_device_inline int kernel_accum_sample(KernelGlobals kg,
+                                          ConstIntegratorState state,
+                                          ccl_global float *ccl_restrict render_buffer,
+                                          int sample)
+{
+  if (kernel_data.film.pass_sample_count == PASS_UNUSED) {
+    return sample;
+  }
+
+  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
+
+  return atomic_fetch_and_add_uint32((uint *)(buffer) + kernel_data.film.pass_sample_count, 1);
+}
+
+ccl_device void kernel_accum_adaptive_buffer(KernelGlobals kg,
+                                             const int sample,
+                                             const float3 contribution,
+                                             ccl_global float *ccl_restrict buffer)
+{
+  /* Adaptive Sampling. Fill the additional buffer with the odd samples and calculate our stopping
+   * criteria. This is the heuristic from "A hierarchical automatic stopping condition for Monte
+   * Carlo global illumination" except that here it is applied per pixel and not in hierarchical
+   * tiles. */
+
+  if (kernel_data.film.pass_adaptive_aux_buffer == PASS_UNUSED) {
+    return;
+  }
+
+  if (sample_is_even(kernel_data.integrator.sampling_pattern, sample)) {
+    kernel_write_pass_float4(
+        buffer + kernel_data.film.pass_adaptive_aux_buffer,
+        make_float4(contribution.x * 2.0f, contribution.y * 2.0f, contribution.z * 2.0f, 0.0f));
+  }
+}
+
+/* --------------------------------------------------------------------
+ * Shadow catcher.
+ */
+
+#ifdef __SHADOW_CATCHER__
+
+/* Accumulate contribution to the Shadow Catcher pass.
+ *
+ * Returns truth if the contribution is fully handled here and is not to be added to the other
+ * passes (like combined, adaptive sampling). */
+
+ccl_device bool kernel_accum_shadow_catcher(KernelGlobals kg,
+                                            const uint32_t path_flag,
+                                            const float3 contribution,
+                                            ccl_global float *ccl_restrict buffer)
+{
+  if (!kernel_data.integrator.has_shadow_catcher) {
+    return false;
+  }
+
+  kernel_assert(kernel_data.film.pass_shadow_catcher != PASS_UNUSED);
+  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
+
+  /* Matte pass. */
+  if (kernel_shadow_catcher_is_matte_path(path_flag)) {
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow_catcher_matte, contribution);
+    /* NOTE: Accumulate the combined pass and to the samples count pass, so that the adaptive
+     * sampling is based on how noisy the combined pass is as if there were no catchers in the
+     * scene. */
+  }
+
+  /* Shadow catcher pass. */
+  if (kernel_shadow_catcher_is_object_pass(path_flag)) {
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow_catcher, contribution);
+    return true;
+  }
+
+  return false;
+}
+
+ccl_device bool kernel_accum_shadow_catcher_transparent(KernelGlobals kg,
+                                                        const uint32_t path_flag,
+                                                        const float3 contribution,
+                                                        const float transparent,
+                                                        ccl_global float *ccl_restrict buffer)
+{
+  if (!kernel_data.integrator.has_shadow_catcher) {
+    return false;
+  }
+
+  kernel_assert(kernel_data.film.pass_shadow_catcher != PASS_UNUSED);
+  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
+
+  if (path_flag & PATH_RAY_SHADOW_CATCHER_BACKGROUND) {
+    return true;
+  }
+
+  /* Matte pass. */
+  if (kernel_shadow_catcher_is_matte_path(path_flag)) {
+    kernel_write_pass_float4(
+        buffer + kernel_data.film.pass_shadow_catcher_matte,
+        make_float4(contribution.x, contribution.y, contribution.z, transparent));
+    /* NOTE: Accumulate the combined pass and to the samples count pass, so that the adaptive
+     * sampling is based on how noisy the combined pass is as if there were no catchers in the
+     * scene. */
+  }
+
+  /* Shadow catcher pass. */
+  if (kernel_shadow_catcher_is_object_pass(path_flag)) {
+    /* NOTE: The transparency of the shadow catcher pass is ignored. It is not needed for the
+     * calculation and the alpha channel of the pass contains numbers of samples contributed to a
+     * pixel of the pass. */
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow_catcher, contribution);
+    return true;
+  }
+
+  return false;
+}
+
+ccl_device void kernel_accum_shadow_catcher_transparent_only(KernelGlobals kg,
+                                                             const uint32_t path_flag,
+                                                             const float transparent,
+                                                             ccl_global float *ccl_restrict buffer)
+{
+  if (!kernel_data.integrator.has_shadow_catcher) {
+    return;
+  }
+
+  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
+
+  /* Matte pass. */
+  if (kernel_shadow_catcher_is_matte_path(path_flag)) {
+    kernel_write_pass_float(buffer + kernel_data.film.pass_shadow_catcher_matte + 3, transparent);
+  }
+}
+
+#endif /* __SHADOW_CATCHER__ */
+
+/* --------------------------------------------------------------------
+ * Render passes.
+ */
+
+/* Write combined pass. */
+ccl_device_inline void kernel_accum_combined_pass(KernelGlobals kg,
+                                                  const uint32_t path_flag,
+                                                  const int sample,
+                                                  const float3 contribution,
+                                                  ccl_global float *ccl_restrict buffer)
+{
+#ifdef __SHADOW_CATCHER__
+  if (kernel_accum_shadow_catcher(kg, path_flag, contribution, buffer)) {
+    return;
+  }
+#endif
+
+  if (kernel_data.film.light_pass_flag & PASSMASK(COMBINED)) {
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_combined, contribution);
+  }
+
+  kernel_accum_adaptive_buffer(kg, sample, contribution, buffer);
+}
+
+/* Write combined pass with transparency. */
+ccl_device_inline void kernel_accum_combined_transparent_pass(KernelGlobals kg,
+                                                              const uint32_t path_flag,
+                                                              const int sample,
+                                                              const float3 contribution,
+                                                              const float transparent,
+                                                              ccl_global float *ccl_restrict
+                                                                  buffer)
+{
+#ifdef __SHADOW_CATCHER__
+  if (kernel_accum_shadow_catcher_transparent(kg, path_flag, contribution, transparent, buffer)) {
+    return;
+  }
+#endif
+
+  if (kernel_data.film.light_pass_flag & PASSMASK(COMBINED)) {
+    kernel_write_pass_float4(
+        buffer + kernel_data.film.pass_combined,
+        make_float4(contribution.x, contribution.y, contribution.z, transparent));
+  }
+
+  kernel_accum_adaptive_buffer(kg, sample, contribution, buffer);
+}
+
+/* Write background or emission to appropriate pass. */
+ccl_device_inline void kernel_accum_emission_or_background_pass(KernelGlobals kg,
+                                                                ConstIntegratorState state,
+                                                                float3 contribution,
+                                                                ccl_global float *ccl_restrict
+                                                                    buffer,
+                                                                const int pass)
+{
+  if (!(kernel_data.film.light_pass_flag & PASS_ANY)) {
+    return;
+  }
+
+#ifdef __PASSES__
+  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
+  int pass_offset = PASS_UNUSED;
+
+  /* Denoising albedo. */
+#  ifdef __DENOISING_FEATURES__
+  if (path_flag & PATH_RAY_DENOISING_FEATURES) {
+    if (kernel_data.film.pass_denoising_albedo != PASS_UNUSED) {
+      const float3 denoising_feature_throughput = INTEGRATOR_STATE(
+          state, path, denoising_feature_throughput);
+      const float3 denoising_albedo = denoising_feature_throughput * contribution;
+      kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_albedo, denoising_albedo);
+    }
+  }
+#  endif /* __DENOISING_FEATURES__ */
+
+  if (!(path_flag & PATH_RAY_ANY_PASS)) {
+    /* Directly visible, write to emission or background pass. */
+    pass_offset = pass;
+  }
+  else if (path_flag & (PATH_RAY_REFLECT_PASS | PATH_RAY_TRANSMISSION_PASS)) {
+    /* Indirectly visible through reflection. */
+    const int glossy_pass_offset = (path_flag & PATH_RAY_REFLECT_PASS) ?
+                                       ((INTEGRATOR_STATE(state, path, bounce) == 1) ?
+                                            kernel_data.film.pass_glossy_direct :
+                                            kernel_data.film.pass_glossy_indirect) :
+                                       ((INTEGRATOR_STATE(state, path, bounce) == 1) ?
+                                            kernel_data.film.pass_transmission_direct :
+                                            kernel_data.film.pass_transmission_indirect);
+
+    if (glossy_pass_offset != PASS_UNUSED) {
+      /* Glossy is a subset of the throughput, reconstruct it here using the
+       * diffuse-glossy ratio. */
+      const float3 ratio = INTEGRATOR_STATE(state, path, diffuse_glossy_ratio);
+      const float3 glossy_contribution = (one_float3() - ratio) * contribution;
+      kernel_write_pass_float3(buffer + glossy_pass_offset, glossy_contribution);
+    }
+
+    /* Reconstruct diffuse subset of throughput. */
+    pass_offset = (INTEGRATOR_STATE(state, path, bounce) == 1) ?
+                      kernel_data.film.pass_diffuse_direct :
+                      kernel_data.film.pass_diffuse_indirect;
+    if (pass_offset != PASS_UNUSED) {
+      contribution *= INTEGRATOR_STATE(state, path, diffuse_glossy_ratio);
+    }
+  }
+  else if (path_flag & PATH_RAY_VOLUME_PASS) {
+    /* Indirectly visible through volume. */
+    pass_offset = (INTEGRATOR_STATE(state, path, bounce) == 1) ?
+                      kernel_data.film.pass_volume_direct :
+                      kernel_data.film.pass_volume_indirect;
+  }
+
+  /* Single write call for GPU coherence. */
+  if (pass_offset != PASS_UNUSED) {
+    kernel_write_pass_float3(buffer + pass_offset, contribution);
+  }
+#endif /* __PASSES__ */
+}
+
+/* Write light contribution to render buffer. */
+ccl_device_inline void kernel_accum_light(KernelGlobals kg,
+                                          ConstIntegratorShadowState state,
+                                          ccl_global float *ccl_restrict render_buffer)
+{
+  /* The throughput for shadow paths already contains the light shader evaluation. */
+  float3 contribution = INTEGRATOR_STATE(state, shadow_path, throughput);
+  kernel_accum_clamp(kg, &contribution, INTEGRATOR_STATE(state, shadow_path, bounce));
+
+  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, shadow_path, render_pixel_index);
+  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
+                                        kernel_data.film.pass_stride;
+  ccl_global float *buffer = render_buffer + render_buffer_offset;
+
+  const uint32_t path_flag = INTEGRATOR_STATE(state, shadow_path, flag);
+  const int sample = INTEGRATOR_STATE(state, shadow_path, sample);
+
+  /* Ambient occlusion. */
+  if (path_flag & PATH_RAY_SHADOW_FOR_AO) {
+    if ((kernel_data.kernel_features & KERNEL_FEATURE_AO_PASS) && (path_flag & PATH_RAY_CAMERA)) {
+      kernel_write_pass_float3(buffer + kernel_data.film.pass_ao, contribution);
+    }
+    if (kernel_data.kernel_features & KERNEL_FEATURE_AO_ADDITIVE) {
+      const float3 ao_weight = INTEGRATOR_STATE(state, shadow_path, unshadowed_throughput);
+      kernel_accum_combined_pass(kg, path_flag, sample, contribution * ao_weight, buffer);
+    }
+    return;
+  }
+
+  /* Direct light shadow. */
+  kernel_accum_combined_pass(kg, path_flag, sample, contribution, buffer);
+
+#ifdef __PASSES__
+  if (kernel_data.film.light_pass_flag & PASS_ANY) {
+    const uint32_t path_flag = INTEGRATOR_STATE(state, shadow_path, flag);
+    int pass_offset = PASS_UNUSED;
+
+    if (path_flag & (PATH_RAY_REFLECT_PASS | PATH_RAY_TRANSMISSION_PASS)) {
+      /* Indirectly visible through reflection. */
+      const int glossy_pass_offset = (path_flag & PATH_RAY_REFLECT_PASS) ?
+                                         ((INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
+                                              kernel_data.film.pass_glossy_direct :
+                                              kernel_data.film.pass_glossy_indirect) :
+                                         ((INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
+                                              kernel_data.film.pass_transmission_direct :
+                                              kernel_data.film.pass_transmission_indirect);
+
+      if (glossy_pass_offset != PASS_UNUSED) {
+        /* Glossy is a subset of the throughput, reconstruct it here using the
+         * diffuse-glossy ratio. */
+        const float3 ratio = INTEGRATOR_STATE(state, shadow_path, diffuse_glossy_ratio);
+        const float3 glossy_contribution = (one_float3() - ratio) * contribution;
+        kernel_write_pass_float3(buffer + glossy_pass_offset, glossy_contribution);
+      }
+
+      /* Reconstruct diffuse subset of throughput. */
+      pass_offset = (INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
+                        kernel_data.film.pass_diffuse_direct :
+                        kernel_data.film.pass_diffuse_indirect;
+      if (pass_offset != PASS_UNUSED) {
+        contribution *= INTEGRATOR_STATE(state, shadow_path, diffuse_glossy_ratio);
+      }
+    }
+    else if (path_flag & PATH_RAY_VOLUME_PASS) {
+      /* Indirectly visible through volume. */
+      pass_offset = (INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
+                        kernel_data.film.pass_volume_direct :
+                        kernel_data.film.pass_volume_indirect;
+    }
+
+    /* Single write call for GPU coherence. */
+    if (pass_offset != PASS_UNUSED) {
+      kernel_write_pass_float3(buffer + pass_offset, contribution);
+    }
+
+    /* Write shadow pass. */
+    if (kernel_data.film.pass_shadow != PASS_UNUSED && (path_flag & PATH_RAY_SHADOW_FOR_LIGHT) &&
+        (path_flag & PATH_RAY_CAMERA)) {
+      const float3 unshadowed_throughput = INTEGRATOR_STATE(
+          state, shadow_path, unshadowed_throughput);
+      const float3 shadowed_throughput = INTEGRATOR_STATE(state, shadow_path, throughput);
+      const float3 shadow = safe_divide_float3_float3(shadowed_throughput, unshadowed_throughput) *
+                            kernel_data.film.pass_shadow_scale;
+      kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow, shadow);
+    }
+  }
+#endif
+}
+
+/* Write transparency to render buffer.
+ *
+ * Note that we accumulate transparency = 1 - alpha in the render buffer.
+ * Otherwise we'd have to write alpha on path termination, which happens
+ * in many places. */
+ccl_device_inline void kernel_accum_transparent(KernelGlobals kg,
+                                                ConstIntegratorState state,
+                                                const uint32_t path_flag,
+                                                const float transparent,
+                                                ccl_global float *ccl_restrict buffer)
+{
+  if (kernel_data.film.light_pass_flag & PASSMASK(COMBINED)) {
+    kernel_write_pass_float(buffer + kernel_data.film.pass_combined + 3, transparent);
+  }
+
+  kernel_accum_shadow_catcher_transparent_only(kg, path_flag, transparent, buffer);
+}
+
+/* Write holdout to render buffer. */
+ccl_device_inline void kernel_accum_holdout(KernelGlobals kg,
+                                            ConstIntegratorState state,
+                                            const uint32_t path_flag,
+                                            const float transparent,
+                                            ccl_global float *ccl_restrict render_buffer)
+{
+  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
+  kernel_accum_transparent(kg, state, path_flag, transparent, buffer);
+}
+
+/* Write background contribution to render buffer.
+ *
+ * Includes transparency, matching kernel_accum_transparent. */
+ccl_device_inline void kernel_accum_background(KernelGlobals kg,
+                                               ConstIntegratorState state,
+                                               const float3 L,
+                                               const float transparent,
+                                               const bool is_transparent_background_ray,
+                                               ccl_global float *ccl_restrict render_buffer)
+{
+  float3 contribution = INTEGRATOR_STATE(state, path, throughput) * L;
+  kernel_accum_clamp(kg, &contribution, INTEGRATOR_STATE(state, path, bounce) - 1);
+
+  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
+  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
+
+  if (is_transparent_background_ray) {
+    kernel_accum_transparent(kg, state, path_flag, transparent, buffer);
+  }
+  else {
+    const int sample = INTEGRATOR_STATE(state, path, sample);
+    kernel_accum_combined_transparent_pass(
+        kg, path_flag, sample, contribution, transparent, buffer);
+  }
+  kernel_accum_emission_or_background_pass(
+      kg, state, contribution, buffer, kernel_data.film.pass_background);
+}
+
+/* Write emission to render buffer. */
+ccl_device_inline void kernel_accum_emission(KernelGlobals kg,
+                                             ConstIntegratorState state,
+                                             const float3 throughput,
+                                             const float3 L,
+                                             ccl_global float *ccl_restrict render_buffer)
+{
+  float3 contribution = throughput * L;
+  kernel_accum_clamp(kg, &contribution, INTEGRATOR_STATE(state, path, bounce) - 1);
+
+  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
+  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
+  const int sample = INTEGRATOR_STATE(state, path, sample);
+
+  kernel_accum_combined_pass(kg, path_flag, sample, contribution, buffer);
+  kernel_accum_emission_or_background_pass(
+      kg, state, contribution, buffer, kernel_data.film.pass_emission);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/film/film_adaptive_sampling.h b/intern/cycles/kernel/film/film_adaptive_sampling.h
new file mode 100644
index 00000000000..c78b5f6b707
--- /dev/null
+++ b/intern/cycles/kernel/film/film_adaptive_sampling.h
@@ -0,0 +1,160 @@
+/*
+ * Copyright 2019 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/film/film_write_passes.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Check whether the pixel has converged and should not be sampled anymore. */
+
+ccl_device_forceinline bool kernel_need_sample_pixel(KernelGlobals kg,
+                                                     ConstIntegratorState state,
+                                                     ccl_global float *render_buffer)
+{
+  if (kernel_data.film.pass_adaptive_aux_buffer == PASS_UNUSED) {
+    return true;
+  }
+
+  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, path, render_pixel_index);
+  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
+                                        kernel_data.film.pass_stride;
+  ccl_global float *buffer = render_buffer + render_buffer_offset;
+
+  const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
+  return buffer[aux_w_offset] == 0.0f;
+}
+
+/* Determines whether to continue sampling a given pixel or if it has sufficiently converged. */
+
+ccl_device bool kernel_adaptive_sampling_convergence_check(KernelGlobals kg,
+                                                           ccl_global float *render_buffer,
+                                                           int x,
+                                                           int y,
+                                                           float threshold,
+                                                           bool reset,
+                                                           int offset,
+                                                           int stride)
+{
+  kernel_assert(kernel_data.film.pass_adaptive_aux_buffer != PASS_UNUSED);
+  kernel_assert(kernel_data.film.pass_sample_count != PASS_UNUSED);
+
+  const int render_pixel_index = offset + x + y * stride;
+  ccl_global float *buffer = render_buffer +
+                             (uint64_t)render_pixel_index * kernel_data.film.pass_stride;
+
+  /* TODO(Stefan): Is this better in linear, sRGB or something else? */
+
+  const float4 A = kernel_read_pass_float4(buffer + kernel_data.film.pass_adaptive_aux_buffer);
+  if (!reset && A.w != 0.0f) {
+    /* If the pixel was considered converged, its state will not change in this kernel. Early
+     * output before doing any math.
+     *
+     * TODO(sergey): On a GPU it might be better to keep thread alive for better coherency? */
+    return true;
+  }
+
+  const float4 I = kernel_read_pass_float4(buffer + kernel_data.film.pass_combined);
+
+  const float sample = __float_as_uint(buffer[kernel_data.film.pass_sample_count]);
+  const float inv_sample = 1.0f / sample;
+
+  /* The per pixel error as seen in section 2.1 of
+   * "A hierarchical automatic stopping condition for Monte Carlo global illumination" */
+  const float error_difference = (fabsf(I.x - A.x) + fabsf(I.y - A.y) + fabsf(I.z - A.z)) *
+                                 inv_sample;
+  const float error_normalize = sqrtf((I.x + I.y + I.z) * inv_sample);
+  /* A small epsilon is added to the divisor to prevent division by zero. */
+  const float error = error_difference / (0.0001f + error_normalize);
+  const bool did_converge = (error < threshold);
+
+  const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
+  buffer[aux_w_offset] = did_converge;
+
+  return did_converge;
+}
+
+/* This is a simple box filter in two passes.
+ * When a pixel demands more adaptive samples, let its neighboring pixels draw more samples too. */
+
+ccl_device void kernel_adaptive_sampling_filter_x(KernelGlobals kg,
+                                                  ccl_global float *render_buffer,
+                                                  int y,
+                                                  int start_x,
+                                                  int width,
+                                                  int offset,
+                                                  int stride)
+{
+  kernel_assert(kernel_data.film.pass_adaptive_aux_buffer != PASS_UNUSED);
+
+  bool prev = false;
+  for (int x = start_x; x < start_x + width; ++x) {
+    int index = offset + x + y * stride;
+    ccl_global float *buffer = render_buffer + index * kernel_data.film.pass_stride;
+    const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
+
+    if (buffer[aux_w_offset] == 0.0f) {
+      if (x > start_x && !prev) {
+        index = index - 1;
+        buffer = render_buffer + index * kernel_data.film.pass_stride;
+        buffer[aux_w_offset] = 0.0f;
+      }
+      prev = true;
+    }
+    else {
+      if (prev) {
+        buffer[aux_w_offset] = 0.0f;
+      }
+      prev = false;
+    }
+  }
+}
+
+ccl_device void kernel_adaptive_sampling_filter_y(KernelGlobals kg,
+                                                  ccl_global float *render_buffer,
+                                                  int x,
+                                                  int start_y,
+                                                  int height,
+                                                  int offset,
+                                                  int stride)
+{
+  kernel_assert(kernel_data.film.pass_adaptive_aux_buffer != PASS_UNUSED);
+
+  bool prev = false;
+  for (int y = start_y; y < start_y + height; ++y) {
+    int index = offset + x + y * stride;
+    ccl_global float *buffer = render_buffer + index * kernel_data.film.pass_stride;
+    const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
+
+    if (buffer[aux_w_offset] == 0.0f) {
+      if (y > start_y && !prev) {
+        index = index - stride;
+        buffer = render_buffer + index * kernel_data.film.pass_stride;
+        buffer[aux_w_offset] = 0.0f;
+      }
+      prev = true;
+    }
+    else {
+      if (prev) {
+        buffer[aux_w_offset] = 0.0f;
+      }
+      prev = false;
+    }
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/film/film_id_passes.h b/intern/cycles/kernel/film/film_id_passes.h
new file mode 100644
index 00000000000..d5b8c90a828
--- /dev/null
+++ b/intern/cycles/kernel/film/film_id_passes.h
@@ -0,0 +1,106 @@
+/*
+ * Copyright 2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* Element of ID pass stored in the render buffers.
+ * It is `float2` semantically, but it must be unaligned since the offset of ID passes in the
+ * render buffers might not meet expected by compiler alignment. */
+typedef struct IDPassBufferElement {
+  float x;
+  float y;
+} IDPassBufferElement;
+
+ccl_device_inline void kernel_write_id_slots(ccl_global float *buffer,
+                                             int num_slots,
+                                             float id,
+                                             float weight)
+{
+  kernel_assert(id != ID_NONE);
+  if (weight == 0.0f) {
+    return;
+  }
+
+  for (int slot = 0; slot < num_slots; slot++) {
+    ccl_global IDPassBufferElement *id_buffer = (ccl_global IDPassBufferElement *)buffer;
+#ifdef __ATOMIC_PASS_WRITE__
+    /* If the loop reaches an empty slot, the ID isn't in any slot yet - so add it! */
+    if (id_buffer[slot].x == ID_NONE) {
+      /* Use an atomic to claim this slot.
+       * If a different thread got here first, try again from this slot on. */
+      float old_id = atomic_compare_and_swap_float(buffer + slot * 2, ID_NONE, id);
+      if (old_id != ID_NONE && old_id != id) {
+        continue;
+      }
+      atomic_add_and_fetch_float(buffer + slot * 2 + 1, weight);
+      break;
+    }
+    /* If there already is a slot for that ID, add the weight.
+     * If no slot was found, add it to the last. */
+    else if (id_buffer[slot].x == id || slot == num_slots - 1) {
+      atomic_add_and_fetch_float(buffer + slot * 2 + 1, weight);
+      break;
+    }
+#else  /* __ATOMIC_PASS_WRITE__ */
+    /* If the loop reaches an empty slot, the ID isn't in any slot yet - so add it! */
+    if (id_buffer[slot].x == ID_NONE) {
+      id_buffer[slot].x = id;
+      id_buffer[slot].y = weight;
+      break;
+    }
+    /* If there already is a slot for that ID, add the weight.
+     * If no slot was found, add it to the last. */
+    else if (id_buffer[slot].x == id || slot == num_slots - 1) {
+      id_buffer[slot].y += weight;
+      break;
+    }
+#endif /* __ATOMIC_PASS_WRITE__ */
+  }
+}
+
+ccl_device_inline void kernel_sort_id_slots(ccl_global float *buffer, int num_slots)
+{
+  ccl_global IDPassBufferElement *id_buffer = (ccl_global IDPassBufferElement *)buffer;
+  for (int slot = 1; slot < num_slots; ++slot) {
+    if (id_buffer[slot].x == ID_NONE) {
+      return;
+    }
+    /* Since we're dealing with a tiny number of elements, insertion sort should be fine. */
+    int i = slot;
+    while (i > 0 && id_buffer[i].y > id_buffer[i - 1].y) {
+      const IDPassBufferElement swap = id_buffer[i];
+      id_buffer[i] = id_buffer[i - 1];
+      id_buffer[i - 1] = swap;
+      --i;
+    }
+  }
+}
+
+/* post-sorting for Cryptomatte */
+ccl_device_inline void kernel_cryptomatte_post(KernelGlobals kg,
+                                               ccl_global float *render_buffer,
+                                               int pixel_index)
+{
+  const int pass_stride = kernel_data.film.pass_stride;
+  const uint64_t render_buffer_offset = (uint64_t)pixel_index * pass_stride;
+  ccl_global float *cryptomatte_buffer = render_buffer + render_buffer_offset +
+                                         kernel_data.film.pass_cryptomatte;
+  kernel_sort_id_slots(cryptomatte_buffer, 2 * kernel_data.film.cryptomatte_depth);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/film/film_passes.h b/intern/cycles/kernel/film/film_passes.h
new file mode 100644
index 00000000000..6c124247f89
--- /dev/null
+++ b/intern/cycles/kernel/film/film_passes.h
@@ -0,0 +1,342 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/geom/geom.h"
+
+#include "kernel/film/film_id_passes.h"
+#include "kernel/film/film_write_passes.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Get pointer to pixel in render buffer. */
+ccl_device_forceinline ccl_global float *kernel_pass_pixel_render_buffer(
+    KernelGlobals kg, ConstIntegratorState state, ccl_global float *ccl_restrict render_buffer)
+{
+  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, path, render_pixel_index);
+  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
+                                        kernel_data.film.pass_stride;
+  return render_buffer + render_buffer_offset;
+}
+
+#ifdef __DENOISING_FEATURES__
+
+ccl_device_forceinline void kernel_write_denoising_features_surface(
+    KernelGlobals kg,
+    IntegratorState state,
+    ccl_private const ShaderData *sd,
+    ccl_global float *ccl_restrict render_buffer)
+{
+  if (!(INTEGRATOR_STATE(state, path, flag) & PATH_RAY_DENOISING_FEATURES)) {
+    return;
+  }
+
+  /* Skip implicitly transparent surfaces. */
+  if (sd->flag & SD_HAS_ONLY_VOLUME) {
+    return;
+  }
+
+  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
+
+  if (kernel_data.film.pass_denoising_depth != PASS_UNUSED) {
+    const float3 denoising_feature_throughput = INTEGRATOR_STATE(
+        state, path, denoising_feature_throughput);
+    const float denoising_depth = ensure_finite(average(denoising_feature_throughput) *
+                                                sd->ray_length);
+    kernel_write_pass_float(buffer + kernel_data.film.pass_denoising_depth, denoising_depth);
+  }
+
+  float3 normal = zero_float3();
+  float3 diffuse_albedo = zero_float3();
+  float3 specular_albedo = zero_float3();
+  float sum_weight = 0.0f, sum_nonspecular_weight = 0.0f;
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (!CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
+      continue;
+    }
+
+    /* All closures contribute to the normal feature, but only diffuse-like ones to the albedo. */
+    normal += sc->N * sc->sample_weight;
+    sum_weight += sc->sample_weight;
+
+    float3 closure_albedo = sc->weight;
+    /* Closures that include a Fresnel term typically have weights close to 1 even though their
+     * actual contribution is significantly lower.
+     * To account for this, we scale their weight by the average fresnel factor (the same is also
+     * done for the sample weight in the BSDF setup, so we don't need to scale that here). */
+    if (CLOSURE_IS_BSDF_MICROFACET_FRESNEL(sc->type)) {
+      ccl_private MicrofacetBsdf *bsdf = (ccl_private MicrofacetBsdf *)sc;
+      closure_albedo *= bsdf->extra->fresnel_color;
+    }
+    else if (sc->type == CLOSURE_BSDF_PRINCIPLED_SHEEN_ID) {
+      ccl_private PrincipledSheenBsdf *bsdf = (ccl_private PrincipledSheenBsdf *)sc;
+      closure_albedo *= bsdf->avg_value;
+    }
+    else if (sc->type == CLOSURE_BSDF_HAIR_PRINCIPLED_ID) {
+      closure_albedo *= bsdf_principled_hair_albedo(sc);
+    }
+
+    if (bsdf_get_specular_roughness_squared(sc) > sqr(0.075f)) {
+      diffuse_albedo += closure_albedo;
+      sum_nonspecular_weight += sc->sample_weight;
+    }
+    else {
+      specular_albedo += closure_albedo;
+    }
+  }
+
+  /* Wait for next bounce if 75% or more sample weight belongs to specular-like closures. */
+  if ((sum_weight == 0.0f) || (sum_nonspecular_weight * 4.0f > sum_weight)) {
+    if (sum_weight != 0.0f) {
+      normal /= sum_weight;
+    }
+
+    if (kernel_data.film.pass_denoising_normal != PASS_UNUSED) {
+      /* Transform normal into camera space. */
+      const Transform worldtocamera = kernel_data.cam.worldtocamera;
+      normal = transform_direction(&worldtocamera, normal);
+
+      const float3 denoising_normal = ensure_finite3(normal);
+      kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_normal, denoising_normal);
+    }
+
+    if (kernel_data.film.pass_denoising_albedo != PASS_UNUSED) {
+      const float3 denoising_feature_throughput = INTEGRATOR_STATE(
+          state, path, denoising_feature_throughput);
+      const float3 denoising_albedo = ensure_finite3(denoising_feature_throughput *
+                                                     diffuse_albedo);
+      kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_albedo, denoising_albedo);
+    }
+
+    INTEGRATOR_STATE_WRITE(state, path, flag) &= ~PATH_RAY_DENOISING_FEATURES;
+  }
+  else {
+    INTEGRATOR_STATE_WRITE(state, path, denoising_feature_throughput) *= specular_albedo;
+  }
+}
+
+ccl_device_forceinline void kernel_write_denoising_features_volume(KernelGlobals kg,
+                                                                   IntegratorState state,
+                                                                   const float3 albedo,
+                                                                   const bool scatter,
+                                                                   ccl_global float *ccl_restrict
+                                                                       render_buffer)
+{
+  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
+  const float3 denoising_feature_throughput = INTEGRATOR_STATE(
+      state, path, denoising_feature_throughput);
+
+  if (scatter && kernel_data.film.pass_denoising_normal != PASS_UNUSED) {
+    /* Assume scatter is sufficiently diffuse to stop writing denoising features. */
+    INTEGRATOR_STATE_WRITE(state, path, flag) &= ~PATH_RAY_DENOISING_FEATURES;
+
+    /* Write view direction as normal. */
+    const float3 denoising_normal = make_float3(0.0f, 0.0f, -1.0f);
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_normal, denoising_normal);
+  }
+
+  if (kernel_data.film.pass_denoising_albedo != PASS_UNUSED) {
+    /* Write albedo. */
+    const float3 denoising_albedo = ensure_finite3(denoising_feature_throughput * albedo);
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_albedo, denoising_albedo);
+  }
+}
+#endif /* __DENOISING_FEATURES__ */
+
+#ifdef __SHADOW_CATCHER__
+
+/* Write shadow catcher passes on a bounce from the shadow catcher object. */
+ccl_device_forceinline void kernel_write_shadow_catcher_bounce_data(
+    KernelGlobals kg,
+    IntegratorState state,
+    ccl_private const ShaderData *sd,
+    ccl_global float *ccl_restrict render_buffer)
+{
+  if (!kernel_data.integrator.has_shadow_catcher) {
+    return;
+  }
+
+  kernel_assert(kernel_data.film.pass_shadow_catcher_sample_count != PASS_UNUSED);
+  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
+
+  if (!kernel_shadow_catcher_is_path_split_bounce(kg, state, sd->object_flag)) {
+    return;
+  }
+
+  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
+
+  /* Count sample for the shadow catcher object. */
+  kernel_write_pass_float(buffer + kernel_data.film.pass_shadow_catcher_sample_count, 1.0f);
+
+  /* Since the split is done, the sample does not contribute to the matte, so accumulate it as
+   * transparency to the matte. */
+  const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
+  kernel_write_pass_float(buffer + kernel_data.film.pass_shadow_catcher_matte + 3,
+                          average(throughput));
+}
+
+#endif /* __SHADOW_CATCHER__ */
+
+ccl_device_inline size_t kernel_write_id_pass(ccl_global float *ccl_restrict buffer,
+                                              size_t depth,
+                                              float id,
+                                              float matte_weight)
+{
+  kernel_write_id_slots(buffer, depth * 2, id, matte_weight);
+  return depth * 4;
+}
+
+ccl_device_inline void kernel_write_data_passes(KernelGlobals kg,
+                                                IntegratorState state,
+                                                ccl_private const ShaderData *sd,
+                                                ccl_global float *ccl_restrict render_buffer)
+{
+#ifdef __PASSES__
+  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
+
+  if (!(path_flag & PATH_RAY_CAMERA)) {
+    return;
+  }
+
+  const int flag = kernel_data.film.pass_flag;
+
+  if (!(flag & PASS_ANY)) {
+    return;
+  }
+
+  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
+
+  if (!(path_flag & PATH_RAY_SINGLE_PASS_DONE)) {
+    if (!(sd->flag & SD_TRANSPARENT) || kernel_data.film.pass_alpha_threshold == 0.0f ||
+        average(shader_bsdf_alpha(kg, sd)) >= kernel_data.film.pass_alpha_threshold) {
+      if (INTEGRATOR_STATE(state, path, sample) == 0) {
+        if (flag & PASSMASK(DEPTH)) {
+          const float depth = camera_z_depth(kg, sd->P);
+          kernel_write_pass_float(buffer + kernel_data.film.pass_depth, depth);
+        }
+        if (flag & PASSMASK(OBJECT_ID)) {
+          const float id = object_pass_id(kg, sd->object);
+          kernel_write_pass_float(buffer + kernel_data.film.pass_object_id, id);
+        }
+        if (flag & PASSMASK(MATERIAL_ID)) {
+          const float id = shader_pass_id(kg, sd);
+          kernel_write_pass_float(buffer + kernel_data.film.pass_material_id, id);
+        }
+        if (flag & PASSMASK(POSITION)) {
+          const float3 position = sd->P;
+          kernel_write_pass_float3(buffer + kernel_data.film.pass_position, position);
+        }
+      }
+
+      if (flag & PASSMASK(NORMAL)) {
+        const float3 normal = shader_bsdf_average_normal(kg, sd);
+        kernel_write_pass_float3(buffer + kernel_data.film.pass_normal, normal);
+      }
+      if (flag & PASSMASK(ROUGHNESS)) {
+        const float roughness = shader_bsdf_average_roughness(sd);
+        kernel_write_pass_float(buffer + kernel_data.film.pass_roughness, roughness);
+      }
+      if (flag & PASSMASK(UV)) {
+        const float3 uv = primitive_uv(kg, sd);
+        kernel_write_pass_float3(buffer + kernel_data.film.pass_uv, uv);
+      }
+      if (flag & PASSMASK(MOTION)) {
+        const float4 speed = primitive_motion_vector(kg, sd);
+        kernel_write_pass_float4(buffer + kernel_data.film.pass_motion, speed);
+        kernel_write_pass_float(buffer + kernel_data.film.pass_motion_weight, 1.0f);
+      }
+
+      INTEGRATOR_STATE_WRITE(state, path, flag) |= PATH_RAY_SINGLE_PASS_DONE;
+    }
+  }
+
+  if (kernel_data.film.cryptomatte_passes) {
+    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
+    const float matte_weight = average(throughput) *
+                               (1.0f - average(shader_bsdf_transparency(kg, sd)));
+    if (matte_weight > 0.0f) {
+      ccl_global float *cryptomatte_buffer = buffer + kernel_data.film.pass_cryptomatte;
+      if (kernel_data.film.cryptomatte_passes & CRYPT_OBJECT) {
+        const float id = object_cryptomatte_id(kg, sd->object);
+        cryptomatte_buffer += kernel_write_id_pass(
+            cryptomatte_buffer, kernel_data.film.cryptomatte_depth, id, matte_weight);
+      }
+      if (kernel_data.film.cryptomatte_passes & CRYPT_MATERIAL) {
+        const float id = shader_cryptomatte_id(kg, sd->shader);
+        cryptomatte_buffer += kernel_write_id_pass(
+            cryptomatte_buffer, kernel_data.film.cryptomatte_depth, id, matte_weight);
+      }
+      if (kernel_data.film.cryptomatte_passes & CRYPT_ASSET) {
+        const float id = object_cryptomatte_asset_id(kg, sd->object);
+        cryptomatte_buffer += kernel_write_id_pass(
+            cryptomatte_buffer, kernel_data.film.cryptomatte_depth, id, matte_weight);
+      }
+    }
+  }
+
+  if (flag & PASSMASK(DIFFUSE_COLOR)) {
+    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_diffuse_color,
+                             shader_bsdf_diffuse(kg, sd) * throughput);
+  }
+  if (flag & PASSMASK(GLOSSY_COLOR)) {
+    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_glossy_color,
+                             shader_bsdf_glossy(kg, sd) * throughput);
+  }
+  if (flag & PASSMASK(TRANSMISSION_COLOR)) {
+    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
+    kernel_write_pass_float3(buffer + kernel_data.film.pass_transmission_color,
+                             shader_bsdf_transmission(kg, sd) * throughput);
+  }
+  if (flag & PASSMASK(MIST)) {
+    /* Bring depth into 0..1 range. */
+    const float mist_start = kernel_data.film.mist_start;
+    const float mist_inv_depth = kernel_data.film.mist_inv_depth;
+
+    const float depth = camera_distance(kg, sd->P);
+    float mist = saturate((depth - mist_start) * mist_inv_depth);
+
+    /* Falloff */
+    const float mist_falloff = kernel_data.film.mist_falloff;
+
+    if (mist_falloff == 1.0f)
+      ;
+    else if (mist_falloff == 2.0f)
+      mist = mist * mist;
+    else if (mist_falloff == 0.5f)
+      mist = sqrtf(mist);
+    else
+      mist = powf(mist, mist_falloff);
+
+    /* Modulate by transparency */
+    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
+    const float3 alpha = shader_bsdf_alpha(kg, sd);
+    const float mist_output = (1.0f - mist) * average(throughput * alpha);
+
+    /* Note that the final value in the render buffer we want is 1 - mist_output,
+     * to avoid having to tracking this in the Integrator state we do the negation
+     * after rendering. */
+    kernel_write_pass_float(buffer + kernel_data.film.pass_mist, mist_output);
+  }
+#endif
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/film/film_read.h b/intern/cycles/kernel/film/film_read.h
new file mode 100644
index 00000000000..a87eff3832e
--- /dev/null
+++ b/intern/cycles/kernel/film/film_read.h
@@ -0,0 +1,532 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* --------------------------------------------------------------------
+ * Common utilities.
+ */
+
+/* The input buffer contains transparency = 1 - alpha, this converts it to
+ * alpha. Also clamp since alpha might end up outside of 0..1 due to Russian
+ * roulette. */
+ccl_device_forceinline float film_transparency_to_alpha(float transparency)
+{
+  return saturate(1.0f - transparency);
+}
+
+ccl_device_inline float film_get_scale(ccl_global const KernelFilmConvert *ccl_restrict
+                                           kfilm_convert,
+                                       ccl_global const float *ccl_restrict buffer)
+{
+  if (kfilm_convert->pass_sample_count == PASS_UNUSED) {
+    return kfilm_convert->scale;
+  }
+
+  if (kfilm_convert->pass_use_filter) {
+    const uint sample_count = *(
+        (ccl_global const uint *)(buffer + kfilm_convert->pass_sample_count));
+    return 1.0f / sample_count;
+  }
+
+  return 1.0f;
+}
+
+ccl_device_inline float film_get_scale_exposure(ccl_global const KernelFilmConvert *ccl_restrict
+                                                    kfilm_convert,
+                                                ccl_global const float *ccl_restrict buffer)
+{
+  if (kfilm_convert->pass_sample_count == PASS_UNUSED) {
+    return kfilm_convert->scale_exposure;
+  }
+
+  const float scale = film_get_scale(kfilm_convert, buffer);
+
+  if (kfilm_convert->pass_use_exposure) {
+    return scale * kfilm_convert->exposure;
+  }
+
+  return scale;
+}
+
+ccl_device_inline bool film_get_scale_and_scale_exposure(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict scale,
+    ccl_private float *ccl_restrict scale_exposure)
+{
+  if (kfilm_convert->pass_sample_count == PASS_UNUSED) {
+    *scale = kfilm_convert->scale;
+    *scale_exposure = kfilm_convert->scale_exposure;
+    return true;
+  }
+
+  const uint sample_count = *(
+      (ccl_global const uint *)(buffer + kfilm_convert->pass_sample_count));
+  if (!sample_count) {
+    *scale = 0.0f;
+    *scale_exposure = 0.0f;
+    return false;
+  }
+
+  if (kfilm_convert->pass_use_filter) {
+    *scale = 1.0f / sample_count;
+  }
+  else {
+    *scale = 1.0f;
+  }
+
+  if (kfilm_convert->pass_use_exposure) {
+    *scale_exposure = *scale * kfilm_convert->exposure;
+  }
+  else {
+    *scale_exposure = *scale;
+  }
+
+  return true;
+}
+
+/* --------------------------------------------------------------------
+ * Float (scalar) passes.
+ */
+
+ccl_device_inline void film_get_pass_pixel_depth(ccl_global const KernelFilmConvert *ccl_restrict
+                                                     kfilm_convert,
+                                                 ccl_global const float *ccl_restrict buffer,
+                                                 ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components >= 1);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+  const float f = *in;
+
+  pixel[0] = (f == 0.0f) ? 1e10f : f * scale_exposure;
+}
+
+ccl_device_inline void film_get_pass_pixel_mist(ccl_global const KernelFilmConvert *ccl_restrict
+                                                    kfilm_convert,
+                                                ccl_global const float *ccl_restrict buffer,
+                                                ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components >= 1);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+  const float f = *in;
+
+  /* Note that we accumulate 1 - mist in the kernel to avoid having to
+   * track the mist values in the integrator state. */
+  pixel[0] = saturate(1.0f - f * scale_exposure);
+}
+
+ccl_device_inline void film_get_pass_pixel_sample_count(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict pixel)
+{
+  /* TODO(sergey): Consider normalizing into the [0..1] range, so that it is possible to see
+   * meaningful value when adaptive sampler stopped rendering image way before the maximum
+   * number of samples was reached (for examples when number of samples is set to 0 in
+   * viewport). */
+
+  kernel_assert(kfilm_convert->num_components >= 1);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+  const float f = *in;
+
+  pixel[0] = __float_as_uint(f) * kfilm_convert->scale;
+}
+
+ccl_device_inline void film_get_pass_pixel_float(ccl_global const KernelFilmConvert *ccl_restrict
+                                                     kfilm_convert,
+                                                 ccl_global const float *ccl_restrict buffer,
+                                                 ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components >= 1);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+  const float f = *in;
+
+  pixel[0] = f * scale_exposure;
+}
+
+/* --------------------------------------------------------------------
+ * Float 3 passes.
+ */
+
+ccl_device_inline void film_get_pass_pixel_light_path(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components >= 3);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  /* Read light pass. */
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+  float3 f = make_float3(in[0], in[1], in[2]);
+
+  /* Optionally add indirect light pass. */
+  if (kfilm_convert->pass_indirect != PASS_UNUSED) {
+    ccl_global const float *in_indirect = buffer + kfilm_convert->pass_indirect;
+    const float3 f_indirect = make_float3(in_indirect[0], in_indirect[1], in_indirect[2]);
+    f += f_indirect;
+  }
+
+  /* Optionally divide out color. */
+  if (kfilm_convert->pass_divide != PASS_UNUSED) {
+    ccl_global const float *in_divide = buffer + kfilm_convert->pass_divide;
+    const float3 f_divide = make_float3(in_divide[0], in_divide[1], in_divide[2]);
+    f = safe_divide_even_color(f, f_divide);
+
+    /* Exposure only, sample scale cancels out. */
+    f *= kfilm_convert->exposure;
+  }
+  else {
+    /* Sample scale and exposure. */
+    f *= film_get_scale_exposure(kfilm_convert, buffer);
+  }
+
+  pixel[0] = f.x;
+  pixel[1] = f.y;
+  pixel[2] = f.z;
+}
+
+ccl_device_inline void film_get_pass_pixel_float3(ccl_global const KernelFilmConvert *ccl_restrict
+                                                      kfilm_convert,
+                                                  ccl_global const float *ccl_restrict buffer,
+                                                  ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components >= 3);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+
+  const float3 f = make_float3(in[0], in[1], in[2]) * scale_exposure;
+
+  pixel[0] = f.x;
+  pixel[1] = f.y;
+  pixel[2] = f.z;
+}
+
+/* --------------------------------------------------------------------
+ * Float4 passes.
+ */
+
+ccl_device_inline void film_get_pass_pixel_motion(ccl_global const KernelFilmConvert *ccl_restrict
+                                                      kfilm_convert,
+                                                  ccl_global const float *ccl_restrict buffer,
+                                                  ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components == 4);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+  kernel_assert(kfilm_convert->pass_motion_weight != PASS_UNUSED);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+  ccl_global const float *in_weight = buffer + kfilm_convert->pass_motion_weight;
+
+  const float weight = in_weight[0];
+  const float weight_inv = (weight > 0.0f) ? 1.0f / weight : 0.0f;
+
+  const float4 motion = make_float4(in[0], in[1], in[2], in[3]) * weight_inv;
+
+  pixel[0] = motion.x;
+  pixel[1] = motion.y;
+  pixel[2] = motion.z;
+  pixel[3] = motion.w;
+}
+
+ccl_device_inline void film_get_pass_pixel_cryptomatte(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components == 4);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  const float scale = film_get_scale(kfilm_convert, buffer);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+
+  const float4 f = make_float4(in[0], in[1], in[2], in[3]);
+
+  /* x and z contain integer IDs, don't rescale them.
+   * y and w contain matte weights, they get scaled. */
+  pixel[0] = f.x;
+  pixel[1] = f.y * scale;
+  pixel[2] = f.z;
+  pixel[3] = f.w * scale;
+}
+
+ccl_device_inline void film_get_pass_pixel_float4(ccl_global const KernelFilmConvert *ccl_restrict
+                                                      kfilm_convert,
+                                                  ccl_global const float *ccl_restrict buffer,
+                                                  ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components == 4);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  float scale, scale_exposure;
+  film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure);
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+
+  const float3 color = make_float3(in[0], in[1], in[2]) * scale_exposure;
+  const float alpha = in[3] * scale;
+
+  pixel[0] = color.x;
+  pixel[1] = color.y;
+  pixel[2] = color.z;
+  pixel[3] = alpha;
+}
+
+ccl_device_inline void film_get_pass_pixel_combined(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components == 4);
+
+  /* 3rd channel contains transparency = 1 - alpha for the combined pass. */
+
+  kernel_assert(kfilm_convert->num_components == 4);
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+
+  float scale, scale_exposure;
+  if (!film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure)) {
+    pixel[0] = 0.0f;
+    pixel[1] = 0.0f;
+    pixel[2] = 0.0f;
+    pixel[3] = 0.0f;
+    return;
+  }
+
+  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
+
+  const float3 color = make_float3(in[0], in[1], in[2]) * scale_exposure;
+  const float alpha = in[3] * scale;
+
+  pixel[0] = color.x;
+  pixel[1] = color.y;
+  pixel[2] = color.z;
+  pixel[3] = film_transparency_to_alpha(alpha);
+}
+
+/* --------------------------------------------------------------------
+ * Shadow catcher.
+ */
+
+ccl_device_inline float3 film_calculate_shadow_catcher_denoised(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer)
+{
+  kernel_assert(kfilm_convert->pass_shadow_catcher != PASS_UNUSED);
+
+  float scale, scale_exposure;
+  film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure);
+
+  ccl_global const float *in_catcher = buffer + kfilm_convert->pass_shadow_catcher;
+
+  const float3 pixel = make_float3(in_catcher[0], in_catcher[1], in_catcher[2]) * scale_exposure;
+
+  return pixel;
+}
+
+ccl_device_inline float3 safe_divide_shadow_catcher(float3 a, float3 b)
+{
+  float x, y, z;
+
+  x = (b.x != 0.0f) ? a.x / b.x : 1.0f;
+  y = (b.y != 0.0f) ? a.y / b.y : 1.0f;
+  z = (b.z != 0.0f) ? a.z / b.z : 1.0f;
+
+  return make_float3(x, y, z);
+}
+
+ccl_device_inline float3
+film_calculate_shadow_catcher(ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+                              ccl_global const float *ccl_restrict buffer)
+{
+  /* For the shadow catcher pass we divide combined pass by the shadow catcher.
+   * Note that denoised shadow catcher pass contains value which only needs ot be scaled (but not
+   * to be calculated as division). */
+
+  if (kfilm_convert->is_denoised) {
+    return film_calculate_shadow_catcher_denoised(kfilm_convert, buffer);
+  }
+
+  kernel_assert(kfilm_convert->pass_shadow_catcher_sample_count != PASS_UNUSED);
+
+  /* If there is no shadow catcher object in this pixel, there is no modification of the light
+   * needed, so return one. */
+  ccl_global const float *in_catcher_sample_count =
+      buffer + kfilm_convert->pass_shadow_catcher_sample_count;
+  const float num_samples = in_catcher_sample_count[0];
+  if (num_samples == 0.0f) {
+    return one_float3();
+  }
+
+  kernel_assert(kfilm_convert->pass_shadow_catcher != PASS_UNUSED);
+  ccl_global const float *in_catcher = buffer + kfilm_convert->pass_shadow_catcher;
+
+  /* NOTE: It is possible that the Shadow Catcher pass is requested as an output without actual
+   * shadow catcher objects in the scene. In this case there will be no auxiliary passes required
+   * for the decision (to save up memory). So delay the asserts to this point so that the number of
+   * samples check handles such configuration. */
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+  kernel_assert(kfilm_convert->pass_combined != PASS_UNUSED);
+  kernel_assert(kfilm_convert->pass_shadow_catcher_matte != PASS_UNUSED);
+
+  ccl_global const float *in_combined = buffer + kfilm_convert->pass_combined;
+  ccl_global const float *in_matte = buffer + kfilm_convert->pass_shadow_catcher_matte;
+
+  /* No scaling needed. The integration works in way that number of samples in the combined and
+   * shadow catcher passes are the same, and exposure is canceled during the division. */
+  const float3 color_catcher = make_float3(in_catcher[0], in_catcher[1], in_catcher[2]);
+  const float3 color_combined = make_float3(in_combined[0], in_combined[1], in_combined[2]);
+  const float3 color_matte = make_float3(in_matte[0], in_matte[1], in_matte[2]);
+
+  /* Need to ignore contribution of the matte object when doing division (otherwise there will be
+   * artifacts caused by anti-aliasing). Since combined pass is used for adaptive sampling and need
+   * to contain matte objects, we subtract matte objects contribution here. This is the same as if
+   * the matte objects were not accumulated to the combined pass. */
+  const float3 combined_no_matte = color_combined - color_matte;
+
+  const float3 shadow_catcher = safe_divide_shadow_catcher(combined_no_matte, color_catcher);
+
+  const float scale = film_get_scale(kfilm_convert, buffer);
+  const float transparency = in_combined[3] * scale;
+  const float alpha = film_transparency_to_alpha(transparency);
+
+  /* Alpha-over on white using transparency of the combined pass. This allows to eliminate
+   * artifacts which are happening on an edge of a shadow catcher when using transparent film.
+   * Note that we treat shadow catcher as straight alpha here because alpha got canceled out
+   * during the division. */
+  const float3 pixel = (1.0f - alpha) * one_float3() + alpha * shadow_catcher;
+
+  return pixel;
+}
+
+ccl_device_inline float4 film_calculate_shadow_catcher_matte_with_shadow(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer)
+{
+  /* The approximation of the shadow is 1 - average(shadow_catcher_pass). A better approximation
+   * is possible.
+   *
+   * The matte is alpha-overed onto the shadow (which is kind of alpha-overing shadow onto footage,
+   * and then alpha-overing synthetic objects on top). */
+
+  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
+  kernel_assert(kfilm_convert->pass_shadow_catcher != PASS_UNUSED);
+  kernel_assert(kfilm_convert->pass_shadow_catcher_matte != PASS_UNUSED);
+
+  float scale, scale_exposure;
+  if (!film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure)) {
+    return make_float4(0.0f, 0.0f, 0.0f, 0.0f);
+  }
+
+  ccl_global const float *in_matte = buffer + kfilm_convert->pass_shadow_catcher_matte;
+
+  const float3 shadow_catcher = film_calculate_shadow_catcher(kfilm_convert, buffer);
+  const float3 color_matte = make_float3(in_matte[0], in_matte[1], in_matte[2]) * scale_exposure;
+
+  const float transparency = in_matte[3] * scale;
+  const float alpha = saturate(1.0f - transparency);
+
+  const float alpha_matte = (1.0f - alpha) * (1.0f - average(shadow_catcher)) + alpha;
+
+  if (kfilm_convert->use_approximate_shadow_catcher_background) {
+    kernel_assert(kfilm_convert->pass_background != PASS_UNUSED);
+
+    ccl_global const float *in_background = buffer + kfilm_convert->pass_background;
+    const float3 color_background = make_float3(
+                                        in_background[0], in_background[1], in_background[2]) *
+                                    scale_exposure;
+    const float3 alpha_over = color_matte + color_background * (1.0f - alpha_matte);
+    return make_float4(alpha_over.x, alpha_over.y, alpha_over.z, 1.0f);
+  }
+
+  return make_float4(color_matte.x, color_matte.y, color_matte.z, alpha_matte);
+}
+
+ccl_device_inline void film_get_pass_pixel_shadow_catcher(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components >= 3);
+
+  const float3 pixel_value = film_calculate_shadow_catcher(kfilm_convert, buffer);
+
+  pixel[0] = pixel_value.x;
+  pixel[1] = pixel_value.y;
+  pixel[2] = pixel_value.z;
+}
+
+ccl_device_inline void film_get_pass_pixel_shadow_catcher_matte_with_shadow(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict pixel)
+{
+  kernel_assert(kfilm_convert->num_components == 3 || kfilm_convert->num_components == 4);
+
+  const float4 pixel_value = film_calculate_shadow_catcher_matte_with_shadow(kfilm_convert,
+                                                                             buffer);
+
+  pixel[0] = pixel_value.x;
+  pixel[1] = pixel_value.y;
+  pixel[2] = pixel_value.z;
+  if (kfilm_convert->num_components == 4) {
+    pixel[3] = pixel_value.w;
+  }
+}
+
+/* --------------------------------------------------------------------
+ * Compositing and overlays.
+ */
+
+ccl_device_inline void film_apply_pass_pixel_overlays_rgba(
+    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
+    ccl_global const float *ccl_restrict buffer,
+    ccl_private float *ccl_restrict pixel)
+{
+  if (kfilm_convert->show_active_pixels &&
+      kfilm_convert->pass_adaptive_aux_buffer != PASS_UNUSED) {
+    if (buffer[kfilm_convert->pass_adaptive_aux_buffer + 3] == 0.0f) {
+      const float3 active_rgb = make_float3(1.0f, 0.0f, 0.0f);
+      const float3 mix_rgb = interp(make_float3(pixel[0], pixel[1], pixel[2]), active_rgb, 0.5f);
+      pixel[0] = mix_rgb.x;
+      pixel[1] = mix_rgb.y;
+      pixel[2] = mix_rgb.z;
+    }
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/film/film_write_passes.h b/intern/cycles/kernel/film/film_write_passes.h
new file mode 100644
index 00000000000..9d379495629
--- /dev/null
+++ b/intern/cycles/kernel/film/film_write_passes.h
@@ -0,0 +1,88 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#ifdef __KERNEL_GPU__
+#  define __ATOMIC_PASS_WRITE__
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+ccl_device_inline void kernel_write_pass_float(ccl_global float *ccl_restrict buffer, float value)
+{
+#ifdef __ATOMIC_PASS_WRITE__
+  atomic_add_and_fetch_float(buffer, value);
+#else
+  *buffer += value;
+#endif
+}
+
+ccl_device_inline void kernel_write_pass_float3(ccl_global float *ccl_restrict buffer,
+                                                float3 value)
+{
+#ifdef __ATOMIC_PASS_WRITE__
+  ccl_global float *buf_x = buffer + 0;
+  ccl_global float *buf_y = buffer + 1;
+  ccl_global float *buf_z = buffer + 2;
+
+  atomic_add_and_fetch_float(buf_x, value.x);
+  atomic_add_and_fetch_float(buf_y, value.y);
+  atomic_add_and_fetch_float(buf_z, value.z);
+#else
+  buffer[0] += value.x;
+  buffer[1] += value.y;
+  buffer[2] += value.z;
+#endif
+}
+
+ccl_device_inline void kernel_write_pass_float4(ccl_global float *ccl_restrict buffer,
+                                                float4 value)
+{
+#ifdef __ATOMIC_PASS_WRITE__
+  ccl_global float *buf_x = buffer + 0;
+  ccl_global float *buf_y = buffer + 1;
+  ccl_global float *buf_z = buffer + 2;
+  ccl_global float *buf_w = buffer + 3;
+
+  atomic_add_and_fetch_float(buf_x, value.x);
+  atomic_add_and_fetch_float(buf_y, value.y);
+  atomic_add_and_fetch_float(buf_z, value.z);
+  atomic_add_and_fetch_float(buf_w, value.w);
+#else
+  buffer[0] += value.x;
+  buffer[1] += value.y;
+  buffer[2] += value.z;
+  buffer[3] += value.w;
+#endif
+}
+
+ccl_device_inline float kernel_read_pass_float(ccl_global float *ccl_restrict buffer)
+{
+  return *buffer;
+}
+
+ccl_device_inline float3 kernel_read_pass_float3(ccl_global float *ccl_restrict buffer)
+{
+  return make_float3(buffer[0], buffer[1], buffer[2]);
+}
+
+ccl_device_inline float4 kernel_read_pass_float4(ccl_global float *ccl_restrict buffer)
+{
+  return make_float4(buffer[0], buffer[1], buffer[2], buffer[3]);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/geom/geom_patch.h b/intern/cycles/kernel/geom/geom_patch.h
index bd797ef52ab..bf1a06220aa 100644
--- a/intern/cycles/kernel/geom/geom_patch.h
+++ b/intern/cycles/kernel/geom/geom_patch.h
@@ -26,6 +26,8 @@
 
 #pragma once
 
+#include "util/util_color.h"
+
 CCL_NAMESPACE_BEGIN
 
 typedef struct PatchHandle {
diff --git a/intern/cycles/kernel/geom/geom_primitive.h b/intern/cycles/kernel/geom/geom_primitive.h
index 91b29c7f990..bc559e3c812 100644
--- a/intern/cycles/kernel/geom/geom_primitive.h
+++ b/intern/cycles/kernel/geom/geom_primitive.h
@@ -21,7 +21,7 @@
 
 #pragma once
 
-#include "kernel/kernel_projection.h"
+#include "kernel/camera/camera_projection.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/geom/geom_triangle_intersect.h b/intern/cycles/kernel/geom/geom_triangle_intersect.h
index fee629cc75a..440dc23d124 100644
--- a/intern/cycles/kernel/geom/geom_triangle_intersect.h
+++ b/intern/cycles/kernel/geom/geom_triangle_intersect.h
@@ -22,7 +22,7 @@
 
 #pragma once
 
-#include "kernel/kernel_random.h"
+#include "kernel/sample/sample_lcg.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/integrator/integrator_init_from_bake.h b/intern/cycles/kernel/integrator/integrator_init_from_bake.h
index de916be24e7..5790cfd3f22 100644
--- a/intern/cycles/kernel/integrator/integrator_init_from_bake.h
+++ b/intern/cycles/kernel/integrator/integrator_init_from_bake.h
@@ -16,11 +16,14 @@
 
 #pragma once
 
-#include "kernel/kernel_accumulate.h"
-#include "kernel/kernel_adaptive_sampling.h"
-#include "kernel/kernel_camera.h"
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_random.h"
+#include "kernel/camera/camera.h"
+
+#include "kernel/film/film_accumulate.h"
+#include "kernel/film/film_adaptive_sampling.h"
+
+#include "kernel/integrator/integrator_path_state.h"
+
+#include "kernel/sample/sample_pattern.h"
 
 #include "kernel/geom/geom.h"
 
diff --git a/intern/cycles/kernel/integrator/integrator_init_from_camera.h b/intern/cycles/kernel/integrator/integrator_init_from_camera.h
index 5bab6b2e2fd..499a72ffbc4 100644
--- a/intern/cycles/kernel/integrator/integrator_init_from_camera.h
+++ b/intern/cycles/kernel/integrator/integrator_init_from_camera.h
@@ -16,12 +16,15 @@
 
 #pragma once
 
-#include "kernel/kernel_accumulate.h"
-#include "kernel/kernel_adaptive_sampling.h"
-#include "kernel/kernel_camera.h"
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_random.h"
-#include "kernel/kernel_shadow_catcher.h"
+#include "kernel/camera/camera.h"
+
+#include "kernel/film/film_accumulate.h"
+#include "kernel/film/film_adaptive_sampling.h"
+
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_shadow_catcher.h"
+
+#include "kernel/sample/sample_pattern.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/integrator/integrator_intersect_closest.h b/intern/cycles/kernel/integrator/integrator_intersect_closest.h
index c1315d48694..41d3dfde41a 100644
--- a/intern/cycles/kernel/integrator/integrator_intersect_closest.h
+++ b/intern/cycles/kernel/integrator/integrator_intersect_closest.h
@@ -16,11 +16,14 @@
 
 #pragma once
 
-#include "kernel/kernel_differential.h"
-#include "kernel/kernel_light.h"
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_projection.h"
-#include "kernel/kernel_shadow_catcher.h"
+#include "kernel/camera/camera_projection.h"
+
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_shadow_catcher.h"
+
+#include "kernel/light/light.h"
+
+#include "kernel/util/util_differential.h"
 
 #include "kernel/geom/geom.h"
 
diff --git a/intern/cycles/kernel/integrator/integrator_intersect_volume_stack.h b/intern/cycles/kernel/integrator/integrator_intersect_volume_stack.h
index 7def3e2f3f3..505d9687948 100644
--- a/intern/cycles/kernel/integrator/integrator_intersect_volume_stack.h
+++ b/intern/cycles/kernel/integrator/integrator_intersect_volume_stack.h
@@ -18,8 +18,8 @@
 
 #include "kernel/bvh/bvh.h"
 #include "kernel/geom/geom.h"
+#include "kernel/integrator/integrator_shader_eval.h"
 #include "kernel/integrator/integrator_volume_stack.h"
-#include "kernel/kernel_shader.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/integrator/integrator_path_state.h b/intern/cycles/kernel/integrator/integrator_path_state.h
new file mode 100644
index 00000000000..73062b26682
--- /dev/null
+++ b/intern/cycles/kernel/integrator/integrator_path_state.h
@@ -0,0 +1,376 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/sample/sample_pattern.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Initialize queues, so that the this path is considered terminated.
+ * Used for early outputs in the camera ray initialization, as well as initialization of split
+ * states for shadow catcher. */
+ccl_device_inline void path_state_init_queues(IntegratorState state)
+{
+  INTEGRATOR_STATE_WRITE(state, path, queued_kernel) = 0;
+#ifdef __KERNEL_CPU__
+  INTEGRATOR_STATE_WRITE(&state->shadow, shadow_path, queued_kernel) = 0;
+  INTEGRATOR_STATE_WRITE(&state->ao, shadow_path, queued_kernel) = 0;
+#endif
+}
+
+/* Minimalistic initialization of the path state, which is needed for early outputs in the
+ * integrator initialization to work. */
+ccl_device_inline void path_state_init(IntegratorState state,
+                                       ccl_global const KernelWorkTile *ccl_restrict tile,
+                                       const int x,
+                                       const int y)
+{
+  const uint render_pixel_index = (uint)tile->offset + x + y * tile->stride;
+
+  INTEGRATOR_STATE_WRITE(state, path, render_pixel_index) = render_pixel_index;
+
+  path_state_init_queues(state);
+}
+
+/* Initialize the rest of the path state needed to continue the path integration. */
+ccl_device_inline void path_state_init_integrator(KernelGlobals kg,
+                                                  IntegratorState state,
+                                                  const int sample,
+                                                  const uint rng_hash)
+{
+  INTEGRATOR_STATE_WRITE(state, path, sample) = sample;
+  INTEGRATOR_STATE_WRITE(state, path, bounce) = 0;
+  INTEGRATOR_STATE_WRITE(state, path, diffuse_bounce) = 0;
+  INTEGRATOR_STATE_WRITE(state, path, glossy_bounce) = 0;
+  INTEGRATOR_STATE_WRITE(state, path, transmission_bounce) = 0;
+  INTEGRATOR_STATE_WRITE(state, path, transparent_bounce) = 0;
+  INTEGRATOR_STATE_WRITE(state, path, volume_bounce) = 0;
+  INTEGRATOR_STATE_WRITE(state, path, volume_bounds_bounce) = 0;
+  INTEGRATOR_STATE_WRITE(state, path, rng_hash) = rng_hash;
+  INTEGRATOR_STATE_WRITE(state, path, rng_offset) = PRNG_BASE_NUM;
+  INTEGRATOR_STATE_WRITE(state, path, flag) = PATH_RAY_CAMERA | PATH_RAY_MIS_SKIP |
+                                              PATH_RAY_TRANSPARENT_BACKGROUND;
+  INTEGRATOR_STATE_WRITE(state, path, mis_ray_pdf) = 0.0f;
+  INTEGRATOR_STATE_WRITE(state, path, mis_ray_t) = 0.0f;
+  INTEGRATOR_STATE_WRITE(state, path, min_ray_pdf) = FLT_MAX;
+  INTEGRATOR_STATE_WRITE(state, path, throughput) = make_float3(1.0f, 1.0f, 1.0f);
+
+  if (kernel_data.kernel_features & KERNEL_FEATURE_VOLUME) {
+    INTEGRATOR_STATE_ARRAY_WRITE(state, volume_stack, 0, object) = OBJECT_NONE;
+    INTEGRATOR_STATE_ARRAY_WRITE(
+        state, volume_stack, 0, shader) = kernel_data.background.volume_shader;
+    INTEGRATOR_STATE_ARRAY_WRITE(state, volume_stack, 1, object) = OBJECT_NONE;
+    INTEGRATOR_STATE_ARRAY_WRITE(state, volume_stack, 1, shader) = SHADER_NONE;
+  }
+
+#ifdef __DENOISING_FEATURES__
+  if (kernel_data.kernel_features & KERNEL_FEATURE_DENOISING) {
+    INTEGRATOR_STATE_WRITE(state, path, flag) |= PATH_RAY_DENOISING_FEATURES;
+    INTEGRATOR_STATE_WRITE(state, path, denoising_feature_throughput) = one_float3();
+  }
+#endif
+}
+
+ccl_device_inline void path_state_next(KernelGlobals kg, IntegratorState state, int label)
+{
+  uint32_t flag = INTEGRATOR_STATE(state, path, flag);
+
+  /* ray through transparent keeps same flags from previous ray and is
+   * not counted as a regular bounce, transparent has separate max */
+  if (label & LABEL_TRANSPARENT) {
+    uint32_t transparent_bounce = INTEGRATOR_STATE(state, path, transparent_bounce) + 1;
+
+    flag |= PATH_RAY_TRANSPARENT;
+    if (transparent_bounce >= kernel_data.integrator.transparent_max_bounce) {
+      flag |= PATH_RAY_TERMINATE_ON_NEXT_SURFACE;
+    }
+
+    if (!kernel_data.integrator.transparent_shadows)
+      flag |= PATH_RAY_MIS_SKIP;
+
+    INTEGRATOR_STATE_WRITE(state, path, flag) = flag;
+    INTEGRATOR_STATE_WRITE(state, path, transparent_bounce) = transparent_bounce;
+    /* Random number generator next bounce. */
+    INTEGRATOR_STATE_WRITE(state, path, rng_offset) += PRNG_BOUNCE_NUM;
+    return;
+  }
+
+  uint32_t bounce = INTEGRATOR_STATE(state, path, bounce) + 1;
+  if (bounce >= kernel_data.integrator.max_bounce) {
+    flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
+  }
+
+  flag &= ~(PATH_RAY_ALL_VISIBILITY | PATH_RAY_MIS_SKIP);
+
+#ifdef __VOLUME__
+  if (label & LABEL_VOLUME_SCATTER) {
+    /* volume scatter */
+    flag |= PATH_RAY_VOLUME_SCATTER;
+    flag &= ~PATH_RAY_TRANSPARENT_BACKGROUND;
+    if (bounce == 1) {
+      flag |= PATH_RAY_VOLUME_PASS;
+    }
+
+    const int volume_bounce = INTEGRATOR_STATE(state, path, volume_bounce) + 1;
+    INTEGRATOR_STATE_WRITE(state, path, volume_bounce) = volume_bounce;
+    if (volume_bounce >= kernel_data.integrator.max_volume_bounce) {
+      flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
+    }
+  }
+  else
+#endif
+  {
+    /* surface reflection/transmission */
+    if (label & LABEL_REFLECT) {
+      flag |= PATH_RAY_REFLECT;
+      flag &= ~PATH_RAY_TRANSPARENT_BACKGROUND;
+
+      if (label & LABEL_DIFFUSE) {
+        const int diffuse_bounce = INTEGRATOR_STATE(state, path, diffuse_bounce) + 1;
+        INTEGRATOR_STATE_WRITE(state, path, diffuse_bounce) = diffuse_bounce;
+        if (diffuse_bounce >= kernel_data.integrator.max_diffuse_bounce) {
+          flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
+        }
+      }
+      else {
+        const int glossy_bounce = INTEGRATOR_STATE(state, path, glossy_bounce) + 1;
+        INTEGRATOR_STATE_WRITE(state, path, glossy_bounce) = glossy_bounce;
+        if (glossy_bounce >= kernel_data.integrator.max_glossy_bounce) {
+          flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
+        }
+      }
+    }
+    else {
+      kernel_assert(label & LABEL_TRANSMIT);
+
+      flag |= PATH_RAY_TRANSMIT;
+
+      if (!(label & LABEL_TRANSMIT_TRANSPARENT)) {
+        flag &= ~PATH_RAY_TRANSPARENT_BACKGROUND;
+      }
+
+      const int transmission_bounce = INTEGRATOR_STATE(state, path, transmission_bounce) + 1;
+      INTEGRATOR_STATE_WRITE(state, path, transmission_bounce) = transmission_bounce;
+      if (transmission_bounce >= kernel_data.integrator.max_transmission_bounce) {
+        flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
+      }
+    }
+
+    /* diffuse/glossy/singular */
+    if (label & LABEL_DIFFUSE) {
+      flag |= PATH_RAY_DIFFUSE | PATH_RAY_DIFFUSE_ANCESTOR;
+    }
+    else if (label & LABEL_GLOSSY) {
+      flag |= PATH_RAY_GLOSSY;
+    }
+    else {
+      kernel_assert(label & LABEL_SINGULAR);
+      flag |= PATH_RAY_GLOSSY | PATH_RAY_SINGULAR | PATH_RAY_MIS_SKIP;
+    }
+
+    /* Render pass categories. */
+    if (bounce == 1) {
+      flag |= (label & LABEL_TRANSMIT) ? PATH_RAY_TRANSMISSION_PASS : PATH_RAY_REFLECT_PASS;
+    }
+  }
+
+  INTEGRATOR_STATE_WRITE(state, path, flag) = flag;
+  INTEGRATOR_STATE_WRITE(state, path, bounce) = bounce;
+
+  /* Random number generator next bounce. */
+  INTEGRATOR_STATE_WRITE(state, path, rng_offset) += PRNG_BOUNCE_NUM;
+}
+
+#ifdef __VOLUME__
+ccl_device_inline bool path_state_volume_next(IntegratorState state)
+{
+  /* For volume bounding meshes we pass through without counting transparent
+   * bounces, only sanity check in case self intersection gets us stuck. */
+  uint32_t volume_bounds_bounce = INTEGRATOR_STATE(state, path, volume_bounds_bounce) + 1;
+  INTEGRATOR_STATE_WRITE(state, path, volume_bounds_bounce) = volume_bounds_bounce;
+  if (volume_bounds_bounce > VOLUME_BOUNDS_MAX) {
+    return false;
+  }
+
+  /* Random number generator next bounce. */
+  if (volume_bounds_bounce > 1) {
+    INTEGRATOR_STATE_WRITE(state, path, rng_offset) += PRNG_BOUNCE_NUM;
+  }
+
+  return true;
+}
+#endif
+
+ccl_device_inline uint path_state_ray_visibility(ConstIntegratorState state)
+{
+  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
+
+  uint32_t visibility = path_flag & PATH_RAY_ALL_VISIBILITY;
+
+  /* For visibility, diffuse/glossy are for reflection only. */
+  if (visibility & PATH_RAY_TRANSMIT) {
+    visibility &= ~(PATH_RAY_DIFFUSE | PATH_RAY_GLOSSY);
+  }
+
+  /* todo: this is not supported as its own ray visibility yet. */
+  if (path_flag & PATH_RAY_VOLUME_SCATTER) {
+    visibility |= PATH_RAY_DIFFUSE;
+  }
+
+  visibility = SHADOW_CATCHER_PATH_VISIBILITY(path_flag, visibility);
+
+  return visibility;
+}
+
+ccl_device_inline float path_state_continuation_probability(KernelGlobals kg,
+                                                            ConstIntegratorState state,
+                                                            const uint32_t path_flag)
+{
+  if (path_flag & PATH_RAY_TRANSPARENT) {
+    const uint32_t transparent_bounce = INTEGRATOR_STATE(state, path, transparent_bounce);
+    /* Do at least specified number of bounces without RR. */
+    if (transparent_bounce <= kernel_data.integrator.transparent_min_bounce) {
+      return 1.0f;
+    }
+  }
+  else {
+    const uint32_t bounce = INTEGRATOR_STATE(state, path, bounce);
+    /* Do at least specified number of bounces without RR. */
+    if (bounce <= kernel_data.integrator.min_bounce) {
+      return 1.0f;
+    }
+  }
+
+  /* Probabilistic termination: use sqrt() to roughly match typical view
+   * transform and do path termination a bit later on average. */
+  return min(sqrtf(max3(fabs(INTEGRATOR_STATE(state, path, throughput)))), 1.0f);
+}
+
+ccl_device_inline bool path_state_ao_bounce(KernelGlobals kg, ConstIntegratorState state)
+{
+  if (!kernel_data.integrator.ao_bounces) {
+    return false;
+  }
+
+  const int bounce = INTEGRATOR_STATE(state, path, bounce) -
+                     INTEGRATOR_STATE(state, path, transmission_bounce) -
+                     (INTEGRATOR_STATE(state, path, glossy_bounce) > 0) + 1;
+  return (bounce > kernel_data.integrator.ao_bounces);
+}
+
+/* Random Number Sampling Utility Functions
+ *
+ * For each random number in each step of the path we must have a unique
+ * dimension to avoid using the same sequence twice.
+ *
+ * For branches in the path we must be careful not to reuse the same number
+ * in a sequence and offset accordingly.
+ */
+
+/* RNG State loaded onto stack. */
+typedef struct RNGState {
+  uint rng_hash;
+  uint rng_offset;
+  int sample;
+} RNGState;
+
+ccl_device_inline void path_state_rng_load(ConstIntegratorState state,
+                                           ccl_private RNGState *rng_state)
+{
+  rng_state->rng_hash = INTEGRATOR_STATE(state, path, rng_hash);
+  rng_state->rng_offset = INTEGRATOR_STATE(state, path, rng_offset);
+  rng_state->sample = INTEGRATOR_STATE(state, path, sample);
+}
+
+ccl_device_inline void shadow_path_state_rng_load(ConstIntegratorShadowState state,
+                                                  ccl_private RNGState *rng_state)
+{
+  rng_state->rng_hash = INTEGRATOR_STATE(state, shadow_path, rng_hash);
+  rng_state->rng_offset = INTEGRATOR_STATE(state, shadow_path, rng_offset);
+  rng_state->sample = INTEGRATOR_STATE(state, shadow_path, sample);
+}
+
+ccl_device_inline float path_state_rng_1D(KernelGlobals kg,
+                                          ccl_private const RNGState *rng_state,
+                                          int dimension)
+{
+  return path_rng_1D(
+      kg, rng_state->rng_hash, rng_state->sample, rng_state->rng_offset + dimension);
+}
+
+ccl_device_inline void path_state_rng_2D(KernelGlobals kg,
+                                         ccl_private const RNGState *rng_state,
+                                         int dimension,
+                                         ccl_private float *fx,
+                                         ccl_private float *fy)
+{
+  path_rng_2D(
+      kg, rng_state->rng_hash, rng_state->sample, rng_state->rng_offset + dimension, fx, fy);
+}
+
+ccl_device_inline float path_state_rng_1D_hash(KernelGlobals kg,
+                                               ccl_private const RNGState *rng_state,
+                                               uint hash)
+{
+  /* Use a hash instead of dimension, this is not great but avoids adding
+   * more dimensions to each bounce which reduces quality of dimensions we
+   * are already using. */
+  return path_rng_1D(
+      kg, cmj_hash_simple(rng_state->rng_hash, hash), rng_state->sample, rng_state->rng_offset);
+}
+
+ccl_device_inline float path_branched_rng_1D(KernelGlobals kg,
+                                             ccl_private const RNGState *rng_state,
+                                             int branch,
+                                             int num_branches,
+                                             int dimension)
+{
+  return path_rng_1D(kg,
+                     rng_state->rng_hash,
+                     rng_state->sample * num_branches + branch,
+                     rng_state->rng_offset + dimension);
+}
+
+ccl_device_inline void path_branched_rng_2D(KernelGlobals kg,
+                                            ccl_private const RNGState *rng_state,
+                                            int branch,
+                                            int num_branches,
+                                            int dimension,
+                                            ccl_private float *fx,
+                                            ccl_private float *fy)
+{
+  path_rng_2D(kg,
+              rng_state->rng_hash,
+              rng_state->sample * num_branches + branch,
+              rng_state->rng_offset + dimension,
+              fx,
+              fy);
+}
+
+/* Utility functions to get light termination value,
+ * since it might not be needed in many cases.
+ */
+ccl_device_inline float path_state_rng_light_termination(KernelGlobals kg,
+                                                         ccl_private const RNGState *state)
+{
+  if (kernel_data.integrator.light_inv_rr_threshold > 0.0f) {
+    return path_state_rng_1D(kg, state, PRNG_LIGHT_TERMINATE);
+  }
+  return 0.0f;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/integrator/integrator_shade_background.h b/intern/cycles/kernel/integrator/integrator_shade_background.h
index 287c54d7243..b3bef9a234e 100644
--- a/intern/cycles/kernel/integrator/integrator_shade_background.h
+++ b/intern/cycles/kernel/integrator/integrator_shade_background.h
@@ -16,10 +16,11 @@
 
 #pragma once
 
-#include "kernel/kernel_accumulate.h"
-#include "kernel/kernel_emission.h"
-#include "kernel/kernel_light.h"
-#include "kernel/kernel_shader.h"
+#include "kernel/film/film_accumulate.h"
+#include "kernel/integrator/integrator_shader_eval.h"
+#include "kernel/light/light.h"
+#include "kernel/light/light_sample.h"
+#include "kernel/sample/sample_mis.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/integrator/integrator_shade_light.h b/intern/cycles/kernel/integrator/integrator_shade_light.h
index 4f0f5a39756..7d220006322 100644
--- a/intern/cycles/kernel/integrator/integrator_shade_light.h
+++ b/intern/cycles/kernel/integrator/integrator_shade_light.h
@@ -16,10 +16,10 @@
 
 #pragma once
 
-#include "kernel/kernel_accumulate.h"
-#include "kernel/kernel_emission.h"
-#include "kernel/kernel_light.h"
-#include "kernel/kernel_shader.h"
+#include "kernel/film/film_accumulate.h"
+#include "kernel/integrator/integrator_shader_eval.h"
+#include "kernel/light/light.h"
+#include "kernel/light/light_sample.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/integrator/integrator_shade_shadow.h b/intern/cycles/kernel/integrator/integrator_shade_shadow.h
index a82254e1dea..0c4eeb8d10d 100644
--- a/intern/cycles/kernel/integrator/integrator_shade_shadow.h
+++ b/intern/cycles/kernel/integrator/integrator_shade_shadow.h
@@ -18,8 +18,7 @@
 
 #include "kernel/integrator/integrator_shade_volume.h"
 #include "kernel/integrator/integrator_volume_stack.h"
-
-#include "kernel/kernel_shader.h"
+#include "kernel/integrator/integrator_shader_eval.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/integrator/integrator_shade_surface.h b/intern/cycles/kernel/integrator/integrator_shade_surface.h
index 2a0bf4a3046..70dce1c4913 100644
--- a/intern/cycles/kernel/integrator/integrator_shade_surface.h
+++ b/intern/cycles/kernel/integrator/integrator_shade_surface.h
@@ -16,16 +16,19 @@
 
 #pragma once
 
-#include "kernel/kernel_accumulate.h"
-#include "kernel/kernel_emission.h"
-#include "kernel/kernel_light.h"
-#include "kernel/kernel_passes.h"
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_shader.h"
+#include "kernel/film/film_accumulate.h"
+#include "kernel/film/film_passes.h"
 
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_shader_eval.h"
 #include "kernel/integrator/integrator_subsurface.h"
 #include "kernel/integrator/integrator_volume_stack.h"
 
+#include "kernel/light/light.h"
+#include "kernel/light/light_sample.h"
+
+#include "kernel/sample/sample_mis.h"
+
 CCL_NAMESPACE_BEGIN
 
 ccl_device_forceinline void integrate_surface_shader_setup(KernelGlobals kg,
diff --git a/intern/cycles/kernel/integrator/integrator_shade_volume.h b/intern/cycles/kernel/integrator/integrator_shade_volume.h
index d0aabb550c0..44ef4803575 100644
--- a/intern/cycles/kernel/integrator/integrator_shade_volume.h
+++ b/intern/cycles/kernel/integrator/integrator_shade_volume.h
@@ -16,16 +16,19 @@
 
 #pragma once
 
-#include "kernel/kernel_accumulate.h"
-#include "kernel/kernel_emission.h"
-#include "kernel/kernel_light.h"
-#include "kernel/kernel_passes.h"
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_shader.h"
+#include "kernel/film/film_accumulate.h"
+#include "kernel/film/film_passes.h"
 
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_shader_eval.h"
 #include "kernel/integrator/integrator_intersect_closest.h"
 #include "kernel/integrator/integrator_volume_stack.h"
 
+#include "kernel/light/light.h"
+#include "kernel/light/light_sample.h"
+
+#include "kernel/sample/sample_mis.h"
+
 CCL_NAMESPACE_BEGIN
 
 #ifdef __VOLUME__
diff --git a/intern/cycles/kernel/integrator/integrator_shader_eval.h b/intern/cycles/kernel/integrator/integrator_shader_eval.h
new file mode 100644
index 00000000000..04a3a965fd3
--- /dev/null
+++ b/intern/cycles/kernel/integrator/integrator_shader_eval.h
@@ -0,0 +1,869 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/* Functions to evaluate shaders and use the resulting shader closures. */
+
+#pragma once
+
+#include "kernel/closure/alloc.h"
+#include "kernel/closure/bsdf_util.h"
+#include "kernel/closure/bsdf.h"
+#include "kernel/closure/emissive.h"
+
+#include "kernel/film/film_accumulate.h"
+
+#include "kernel/svm/svm.h"
+
+#ifdef __OSL__
+#  include "kernel/osl/osl_shader.h"
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+/* Merging */
+
+#if defined(__VOLUME__)
+ccl_device_inline void shader_merge_volume_closures(ccl_private ShaderData *sd)
+{
+  /* Merge identical closures to save closure space with stacked volumes. */
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private ShaderClosure *sci = &sd->closure[i];
+
+    if (sci->type != CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID) {
+      continue;
+    }
+
+    for (int j = i + 1; j < sd->num_closure; j++) {
+      ccl_private ShaderClosure *scj = &sd->closure[j];
+      if (sci->type != scj->type) {
+        continue;
+      }
+
+      ccl_private const HenyeyGreensteinVolume *hgi = (ccl_private const HenyeyGreensteinVolume *)
+          sci;
+      ccl_private const HenyeyGreensteinVolume *hgj = (ccl_private const HenyeyGreensteinVolume *)
+          scj;
+      if (!(hgi->g == hgj->g)) {
+        continue;
+      }
+
+      sci->weight += scj->weight;
+      sci->sample_weight += scj->sample_weight;
+
+      int size = sd->num_closure - (j + 1);
+      if (size > 0) {
+        for (int k = 0; k < size; k++) {
+          scj[k] = scj[k + 1];
+        }
+      }
+
+      sd->num_closure--;
+      kernel_assert(sd->num_closure >= 0);
+      j--;
+    }
+  }
+}
+
+ccl_device_inline void shader_copy_volume_phases(ccl_private ShaderVolumePhases *ccl_restrict
+                                                     phases,
+                                                 ccl_private const ShaderData *ccl_restrict sd)
+{
+  phases->num_closure = 0;
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *from_sc = &sd->closure[i];
+    ccl_private const HenyeyGreensteinVolume *from_hg =
+        (ccl_private const HenyeyGreensteinVolume *)from_sc;
+
+    if (from_sc->type == CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID) {
+      ccl_private ShaderVolumeClosure *to_sc = &phases->closure[phases->num_closure];
+
+      to_sc->weight = from_sc->weight;
+      to_sc->sample_weight = from_sc->sample_weight;
+      to_sc->g = from_hg->g;
+      phases->num_closure++;
+      if (phases->num_closure >= MAX_VOLUME_CLOSURE) {
+        break;
+      }
+    }
+  }
+}
+#endif /* __VOLUME__ */
+
+ccl_device_inline void shader_prepare_surface_closures(KernelGlobals kg,
+                                                       ConstIntegratorState state,
+                                                       ccl_private ShaderData *sd)
+{
+  /* Defensive sampling.
+   *
+   * We can likely also do defensive sampling at deeper bounces, particularly
+   * for cases like a perfect mirror but possibly also others. This will need
+   * a good heuristic. */
+  if (INTEGRATOR_STATE(state, path, bounce) + INTEGRATOR_STATE(state, path, transparent_bounce) ==
+          0 &&
+      sd->num_closure > 1) {
+    float sum = 0.0f;
+
+    for (int i = 0; i < sd->num_closure; i++) {
+      ccl_private ShaderClosure *sc = &sd->closure[i];
+      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
+        sum += sc->sample_weight;
+      }
+    }
+
+    for (int i = 0; i < sd->num_closure; i++) {
+      ccl_private ShaderClosure *sc = &sd->closure[i];
+      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
+        sc->sample_weight = max(sc->sample_weight, 0.125f * sum);
+      }
+    }
+  }
+
+  /* Filter glossy.
+   *
+   * Blurring of bsdf after bounces, for rays that have a small likelihood
+   * of following this particular path (diffuse, rough glossy) */
+  if (kernel_data.integrator.filter_glossy != FLT_MAX) {
+    float blur_pdf = kernel_data.integrator.filter_glossy *
+                     INTEGRATOR_STATE(state, path, min_ray_pdf);
+
+    if (blur_pdf < 1.0f) {
+      float blur_roughness = sqrtf(1.0f - blur_pdf) * 0.5f;
+
+      for (int i = 0; i < sd->num_closure; i++) {
+        ccl_private ShaderClosure *sc = &sd->closure[i];
+        if (CLOSURE_IS_BSDF(sc->type)) {
+          bsdf_blur(kg, sc, blur_roughness);
+        }
+      }
+    }
+  }
+}
+
+/* BSDF */
+
+ccl_device_inline bool shader_bsdf_is_transmission(ccl_private const ShaderData *sd,
+                                                   const float3 omega_in)
+{
+  return dot(sd->N, omega_in) < 0.0f;
+}
+
+ccl_device_forceinline bool _shader_bsdf_exclude(ClosureType type, uint light_shader_flags)
+{
+  if (!(light_shader_flags & SHADER_EXCLUDE_ANY)) {
+    return false;
+  }
+  if (light_shader_flags & SHADER_EXCLUDE_DIFFUSE) {
+    if (CLOSURE_IS_BSDF_DIFFUSE(type)) {
+      return true;
+    }
+  }
+  if (light_shader_flags & SHADER_EXCLUDE_GLOSSY) {
+    if (CLOSURE_IS_BSDF_GLOSSY(type)) {
+      return true;
+    }
+  }
+  if (light_shader_flags & SHADER_EXCLUDE_TRANSMIT) {
+    if (CLOSURE_IS_BSDF_TRANSMISSION(type)) {
+      return true;
+    }
+  }
+  return false;
+}
+
+ccl_device_inline float _shader_bsdf_multi_eval(KernelGlobals kg,
+                                                ccl_private ShaderData *sd,
+                                                const float3 omega_in,
+                                                const bool is_transmission,
+                                                ccl_private const ShaderClosure *skip_sc,
+                                                ccl_private BsdfEval *result_eval,
+                                                float sum_pdf,
+                                                float sum_sample_weight,
+                                                const uint light_shader_flags)
+{
+  /* This is the veach one-sample model with balance heuristic,
+   * some PDF factors drop out when using balance heuristic weighting. */
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (sc == skip_sc) {
+      continue;
+    }
+
+    if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
+      if (CLOSURE_IS_BSDF(sc->type) && !_shader_bsdf_exclude(sc->type, light_shader_flags)) {
+        float bsdf_pdf = 0.0f;
+        float3 eval = bsdf_eval(kg, sd, sc, omega_in, is_transmission, &bsdf_pdf);
+
+        if (bsdf_pdf != 0.0f) {
+          const bool is_diffuse = CLOSURE_IS_BSDF_DIFFUSE(sc->type);
+          bsdf_eval_accum(result_eval, is_diffuse, eval * sc->weight, 1.0f);
+          sum_pdf += bsdf_pdf * sc->sample_weight;
+        }
+      }
+
+      sum_sample_weight += sc->sample_weight;
+    }
+  }
+
+  return (sum_sample_weight > 0.0f) ? sum_pdf / sum_sample_weight : 0.0f;
+}
+
+#ifndef __KERNEL_CUDA__
+ccl_device
+#else
+ccl_device_inline
+#endif
+    float
+    shader_bsdf_eval(KernelGlobals kg,
+                     ccl_private ShaderData *sd,
+                     const float3 omega_in,
+                     const bool is_transmission,
+                     ccl_private BsdfEval *bsdf_eval,
+                     const uint light_shader_flags)
+{
+  bsdf_eval_init(bsdf_eval, false, zero_float3());
+
+  return _shader_bsdf_multi_eval(
+      kg, sd, omega_in, is_transmission, NULL, bsdf_eval, 0.0f, 0.0f, light_shader_flags);
+}
+
+/* Randomly sample a BSSRDF or BSDF proportional to ShaderClosure.sample_weight. */
+ccl_device_inline ccl_private const ShaderClosure *shader_bsdf_bssrdf_pick(
+    ccl_private const ShaderData *ccl_restrict sd, ccl_private float *randu)
+{
+  int sampled = 0;
+
+  if (sd->num_closure > 1) {
+    /* Pick a BSDF or based on sample weights. */
+    float sum = 0.0f;
+
+    for (int i = 0; i < sd->num_closure; i++) {
+      ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
+        sum += sc->sample_weight;
+      }
+    }
+
+    float r = (*randu) * sum;
+    float partial_sum = 0.0f;
+
+    for (int i = 0; i < sd->num_closure; i++) {
+      ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
+        float next_sum = partial_sum + sc->sample_weight;
+
+        if (r < next_sum) {
+          sampled = i;
+
+          /* Rescale to reuse for direction sample, to better preserve stratification. */
+          *randu = (r - partial_sum) / sc->sample_weight;
+          break;
+        }
+
+        partial_sum = next_sum;
+      }
+    }
+  }
+
+  return &sd->closure[sampled];
+}
+
+/* Return weight for picked BSSRDF. */
+ccl_device_inline float3
+shader_bssrdf_sample_weight(ccl_private const ShaderData *ccl_restrict sd,
+                            ccl_private const ShaderClosure *ccl_restrict bssrdf_sc)
+{
+  float3 weight = bssrdf_sc->weight;
+
+  if (sd->num_closure > 1) {
+    float sum = 0.0f;
+    for (int i = 0; i < sd->num_closure; i++) {
+      ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
+        sum += sc->sample_weight;
+      }
+    }
+    weight *= sum / bssrdf_sc->sample_weight;
+  }
+
+  return weight;
+}
+
+/* Sample direction for picked BSDF, and return evaluation and pdf for all
+ * BSDFs combined using MIS. */
+ccl_device int shader_bsdf_sample_closure(KernelGlobals kg,
+                                          ccl_private ShaderData *sd,
+                                          ccl_private const ShaderClosure *sc,
+                                          float randu,
+                                          float randv,
+                                          ccl_private BsdfEval *bsdf_eval,
+                                          ccl_private float3 *omega_in,
+                                          ccl_private differential3 *domega_in,
+                                          ccl_private float *pdf)
+{
+  /* BSSRDF should already have been handled elsewhere. */
+  kernel_assert(CLOSURE_IS_BSDF(sc->type));
+
+  int label;
+  float3 eval = zero_float3();
+
+  *pdf = 0.0f;
+  label = bsdf_sample(kg, sd, sc, randu, randv, &eval, omega_in, domega_in, pdf);
+
+  if (*pdf != 0.0f) {
+    const bool is_diffuse = CLOSURE_IS_BSDF_DIFFUSE(sc->type);
+    bsdf_eval_init(bsdf_eval, is_diffuse, eval * sc->weight);
+
+    if (sd->num_closure > 1) {
+      const bool is_transmission = shader_bsdf_is_transmission(sd, *omega_in);
+      float sweight = sc->sample_weight;
+      *pdf = _shader_bsdf_multi_eval(
+          kg, sd, *omega_in, is_transmission, sc, bsdf_eval, *pdf * sweight, sweight, 0);
+    }
+  }
+
+  return label;
+}
+
+ccl_device float shader_bsdf_average_roughness(ccl_private const ShaderData *sd)
+{
+  float roughness = 0.0f;
+  float sum_weight = 0.0f;
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (CLOSURE_IS_BSDF(sc->type)) {
+      /* sqrt once to undo the squaring from multiplying roughness on the
+       * two axes, and once for the squared roughness convention. */
+      float weight = fabsf(average(sc->weight));
+      roughness += weight * sqrtf(safe_sqrtf(bsdf_get_roughness_squared(sc)));
+      sum_weight += weight;
+    }
+  }
+
+  return (sum_weight > 0.0f) ? roughness / sum_weight : 0.0f;
+}
+
+ccl_device float3 shader_bsdf_transparency(KernelGlobals kg, ccl_private const ShaderData *sd)
+{
+  if (sd->flag & SD_HAS_ONLY_VOLUME) {
+    return one_float3();
+  }
+  else if (sd->flag & SD_TRANSPARENT) {
+    return sd->closure_transparent_extinction;
+  }
+  else {
+    return zero_float3();
+  }
+}
+
+ccl_device void shader_bsdf_disable_transparency(KernelGlobals kg, ccl_private ShaderData *sd)
+{
+  if (sd->flag & SD_TRANSPARENT) {
+    for (int i = 0; i < sd->num_closure; i++) {
+      ccl_private ShaderClosure *sc = &sd->closure[i];
+
+      if (sc->type == CLOSURE_BSDF_TRANSPARENT_ID) {
+        sc->sample_weight = 0.0f;
+        sc->weight = zero_float3();
+      }
+    }
+
+    sd->flag &= ~SD_TRANSPARENT;
+  }
+}
+
+ccl_device float3 shader_bsdf_alpha(KernelGlobals kg, ccl_private const ShaderData *sd)
+{
+  float3 alpha = one_float3() - shader_bsdf_transparency(kg, sd);
+
+  alpha = max(alpha, zero_float3());
+  alpha = min(alpha, one_float3());
+
+  return alpha;
+}
+
+ccl_device float3 shader_bsdf_diffuse(KernelGlobals kg, ccl_private const ShaderData *sd)
+{
+  float3 eval = zero_float3();
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (CLOSURE_IS_BSDF_DIFFUSE(sc->type) || CLOSURE_IS_BSSRDF(sc->type))
+      eval += sc->weight;
+  }
+
+  return eval;
+}
+
+ccl_device float3 shader_bsdf_glossy(KernelGlobals kg, ccl_private const ShaderData *sd)
+{
+  float3 eval = zero_float3();
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (CLOSURE_IS_BSDF_GLOSSY(sc->type))
+      eval += sc->weight;
+  }
+
+  return eval;
+}
+
+ccl_device float3 shader_bsdf_transmission(KernelGlobals kg, ccl_private const ShaderData *sd)
+{
+  float3 eval = zero_float3();
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (CLOSURE_IS_BSDF_TRANSMISSION(sc->type))
+      eval += sc->weight;
+  }
+
+  return eval;
+}
+
+ccl_device float3 shader_bsdf_average_normal(KernelGlobals kg, ccl_private const ShaderData *sd)
+{
+  float3 N = zero_float3();
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+    if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type))
+      N += sc->N * fabsf(average(sc->weight));
+  }
+
+  return (is_zero(N)) ? sd->N : normalize(N);
+}
+
+ccl_device float3 shader_bsdf_ao(KernelGlobals kg,
+                                 ccl_private const ShaderData *sd,
+                                 const float ao_factor,
+                                 ccl_private float3 *N_)
+{
+  float3 eval = zero_float3();
+  float3 N = zero_float3();
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (CLOSURE_IS_BSDF_DIFFUSE(sc->type)) {
+      ccl_private const DiffuseBsdf *bsdf = (ccl_private const DiffuseBsdf *)sc;
+      eval += sc->weight * ao_factor;
+      N += bsdf->N * fabsf(average(sc->weight));
+    }
+  }
+
+  *N_ = (is_zero(N)) ? sd->N : normalize(N);
+  return eval;
+}
+
+#ifdef __SUBSURFACE__
+ccl_device float3 shader_bssrdf_normal(ccl_private const ShaderData *sd)
+{
+  float3 N = zero_float3();
+
+  for (int i = 0; i < sd->num_closure; i++) {
+    ccl_private const ShaderClosure *sc = &sd->closure[i];
+
+    if (CLOSURE_IS_BSSRDF(sc->type)) {
+      ccl_private const Bssrdf *bssrdf = (ccl_private const Bssrdf *)sc;
+      float avg_weight = fabsf(average(sc->weight));
+
+      N += bssrdf->N * avg_weight;
+    }
+  }
+
+  return (is_zero(N)) ? sd->N : normalize(N);
+}
+#endif /* __SUBSURFACE__ */
+
+/* Constant emission optimization */
+
+ccl_device bool shader_constant_emission_eval(KernelGlobals kg,
+                                              int shader,
+                                              ccl_private float3 *eval)
+{
+  int shader_index = shader & SHADER_MASK;
+  int shader_flag = kernel_tex_fetch(__shaders, shader_index).flags;
+
+  if (shader_flag & SD_HAS_CONSTANT_EMISSION) {
+    *eval = make_float3(kernel_tex_fetch(__shaders, shader_index).constant_emission[0],
+                        kernel_tex_fetch(__shaders, shader_index).constant_emission[1],
+                        kernel_tex_fetch(__shaders, shader_index).constant_emission[2]);
+
+    return true;
+  }
+
+  return false;
+}
+
+/* Background */
+
+ccl_device float3 shader_background_eval(ccl_private const ShaderData *sd)
+{
+  if (sd->flag & SD_EMISSION) {
+    return sd->closure_emission_background;
+  }
+  else {
+    return zero_float3();
+  }
+}
+
+/* Emission */
+
+ccl_device float3 shader_emissive_eval(ccl_private const ShaderData *sd)
+{
+  if (sd->flag & SD_EMISSION) {
+    return emissive_simple_eval(sd->Ng, sd->I) * sd->closure_emission_background;
+  }
+  else {
+    return zero_float3();
+  }
+}
+
+/* Holdout */
+
+ccl_device float3 shader_holdout_apply(KernelGlobals kg, ccl_private ShaderData *sd)
+{
+  float3 weight = zero_float3();
+
+  /* For objects marked as holdout, preserve transparency and remove all other
+   * closures, replacing them with a holdout weight. */
+  if (sd->object_flag & SD_OBJECT_HOLDOUT_MASK) {
+    if ((sd->flag & SD_TRANSPARENT) && !(sd->flag & SD_HAS_ONLY_VOLUME)) {
+      weight = one_float3() - sd->closure_transparent_extinction;
+
+      for (int i = 0; i < sd->num_closure; i++) {
+        ccl_private ShaderClosure *sc = &sd->closure[i];
+        if (!CLOSURE_IS_BSDF_TRANSPARENT(sc->type)) {
+          sc->type = NBUILTIN_CLOSURES;
+        }
+      }
+
+      sd->flag &= ~(SD_CLOSURE_FLAGS - (SD_TRANSPARENT | SD_BSDF));
+    }
+    else {
+      weight = one_float3();
+    }
+  }
+  else {
+    for (int i = 0; i < sd->num_closure; i++) {
+      ccl_private const ShaderClosure *sc = &sd->closure[i];
+      if (CLOSURE_IS_HOLDOUT(sc->type)) {
+        weight += sc->weight;
+      }
+    }
+  }
+
+  return weight;
+}
+
+/* Surface Evaluation */
+
+template<uint node_feature_mask, typename ConstIntegratorGenericState>
+ccl_device void shader_eval_surface(KernelGlobals kg,
+                                    ConstIntegratorGenericState state,
+                                    ccl_private ShaderData *ccl_restrict sd,
+                                    ccl_global float *ccl_restrict buffer,
+                                    uint32_t path_flag)
+{
+  /* If path is being terminated, we are tracing a shadow ray or evaluating
+   * emission, then we don't need to store closures. The emission and shadow
+   * shader data also do not have a closure array to save GPU memory. */
+  int max_closures;
+  if (path_flag & (PATH_RAY_TERMINATE | PATH_RAY_SHADOW | PATH_RAY_EMISSION)) {
+    max_closures = 0;
+  }
+  else {
+    max_closures = kernel_data.max_closures;
+  }
+
+  sd->num_closure = 0;
+  sd->num_closure_left = max_closures;
+
+#ifdef __OSL__
+  if (kg->osl) {
+    if (sd->object == OBJECT_NONE && sd->lamp == LAMP_NONE) {
+      OSLShader::eval_background(kg, state, sd, path_flag);
+    }
+    else {
+      OSLShader::eval_surface(kg, state, sd, path_flag);
+    }
+  }
+  else
+#endif
+  {
+#ifdef __SVM__
+    svm_eval_nodes<node_feature_mask, SHADER_TYPE_SURFACE>(kg, state, sd, buffer, path_flag);
+#else
+    if (sd->object == OBJECT_NONE) {
+      sd->closure_emission_background = make_float3(0.8f, 0.8f, 0.8f);
+      sd->flag |= SD_EMISSION;
+    }
+    else {
+      ccl_private DiffuseBsdf *bsdf = (ccl_private DiffuseBsdf *)bsdf_alloc(
+          sd, sizeof(DiffuseBsdf), make_float3(0.8f, 0.8f, 0.8f));
+      if (bsdf != NULL) {
+        bsdf->N = sd->N;
+        sd->flag |= bsdf_diffuse_setup(bsdf);
+      }
+    }
+#endif
+  }
+}
+
+/* Volume */
+
+#ifdef __VOLUME__
+
+ccl_device_inline float _shader_volume_phase_multi_eval(
+    ccl_private const ShaderData *sd,
+    ccl_private const ShaderVolumePhases *phases,
+    const float3 omega_in,
+    int skip_phase,
+    ccl_private BsdfEval *result_eval,
+    float sum_pdf,
+    float sum_sample_weight)
+{
+  for (int i = 0; i < phases->num_closure; i++) {
+    if (i == skip_phase)
+      continue;
+
+    ccl_private const ShaderVolumeClosure *svc = &phases->closure[i];
+    float phase_pdf = 0.0f;
+    float3 eval = volume_phase_eval(sd, svc, omega_in, &phase_pdf);
+
+    if (phase_pdf != 0.0f) {
+      bsdf_eval_accum(result_eval, false, eval, 1.0f);
+      sum_pdf += phase_pdf * svc->sample_weight;
+    }
+
+    sum_sample_weight += svc->sample_weight;
+  }
+
+  return (sum_sample_weight > 0.0f) ? sum_pdf / sum_sample_weight : 0.0f;
+}
+
+ccl_device float shader_volume_phase_eval(KernelGlobals kg,
+                                          ccl_private const ShaderData *sd,
+                                          ccl_private const ShaderVolumePhases *phases,
+                                          const float3 omega_in,
+                                          ccl_private BsdfEval *phase_eval)
+{
+  bsdf_eval_init(phase_eval, false, zero_float3());
+
+  return _shader_volume_phase_multi_eval(sd, phases, omega_in, -1, phase_eval, 0.0f, 0.0f);
+}
+
+ccl_device int shader_volume_phase_sample(KernelGlobals kg,
+                                          ccl_private const ShaderData *sd,
+                                          ccl_private const ShaderVolumePhases *phases,
+                                          float randu,
+                                          float randv,
+                                          ccl_private BsdfEval *phase_eval,
+                                          ccl_private float3 *omega_in,
+                                          ccl_private differential3 *domega_in,
+                                          ccl_private float *pdf)
+{
+  int sampled = 0;
+
+  if (phases->num_closure > 1) {
+    /* pick a phase closure based on sample weights */
+    float sum = 0.0f;
+
+    for (sampled = 0; sampled < phases->num_closure; sampled++) {
+      ccl_private const ShaderVolumeClosure *svc = &phases->closure[sampled];
+      sum += svc->sample_weight;
+    }
+
+    float r = randu * sum;
+    float partial_sum = 0.0f;
+
+    for (sampled = 0; sampled < phases->num_closure; sampled++) {
+      ccl_private const ShaderVolumeClosure *svc = &phases->closure[sampled];
+      float next_sum = partial_sum + svc->sample_weight;
+
+      if (r <= next_sum) {
+        /* Rescale to reuse for BSDF direction sample. */
+        randu = (r - partial_sum) / svc->sample_weight;
+        break;
+      }
+
+      partial_sum = next_sum;
+    }
+
+    if (sampled == phases->num_closure) {
+      *pdf = 0.0f;
+      return LABEL_NONE;
+    }
+  }
+
+  /* todo: this isn't quite correct, we don't weight anisotropy properly
+   * depending on color channels, even if this is perhaps not a common case */
+  ccl_private const ShaderVolumeClosure *svc = &phases->closure[sampled];
+  int label;
+  float3 eval = zero_float3();
+
+  *pdf = 0.0f;
+  label = volume_phase_sample(sd, svc, randu, randv, &eval, omega_in, domega_in, pdf);
+
+  if (*pdf != 0.0f) {
+    bsdf_eval_init(phase_eval, false, eval);
+  }
+
+  return label;
+}
+
+ccl_device int shader_phase_sample_closure(KernelGlobals kg,
+                                           ccl_private const ShaderData *sd,
+                                           ccl_private const ShaderVolumeClosure *sc,
+                                           float randu,
+                                           float randv,
+                                           ccl_private BsdfEval *phase_eval,
+                                           ccl_private float3 *omega_in,
+                                           ccl_private differential3 *domega_in,
+                                           ccl_private float *pdf)
+{
+  int label;
+  float3 eval = zero_float3();
+
+  *pdf = 0.0f;
+  label = volume_phase_sample(sd, sc, randu, randv, &eval, omega_in, domega_in, pdf);
+
+  if (*pdf != 0.0f)
+    bsdf_eval_init(phase_eval, false, eval);
+
+  return label;
+}
+
+/* Volume Evaluation */
+
+template<const bool shadow, typename StackReadOp, typename ConstIntegratorGenericState>
+ccl_device_inline void shader_eval_volume(KernelGlobals kg,
+                                          ConstIntegratorGenericState state,
+                                          ccl_private ShaderData *ccl_restrict sd,
+                                          const uint32_t path_flag,
+                                          StackReadOp stack_read)
+{
+  /* If path is being terminated, we are tracing a shadow ray or evaluating
+   * emission, then we don't need to store closures. The emission and shadow
+   * shader data also do not have a closure array to save GPU memory. */
+  int max_closures;
+  if (path_flag & (PATH_RAY_TERMINATE | PATH_RAY_SHADOW | PATH_RAY_EMISSION)) {
+    max_closures = 0;
+  }
+  else {
+    max_closures = kernel_data.max_closures;
+  }
+
+  /* reset closures once at the start, we will be accumulating the closures
+   * for all volumes in the stack into a single array of closures */
+  sd->num_closure = 0;
+  sd->num_closure_left = max_closures;
+  sd->flag = 0;
+  sd->object_flag = 0;
+
+  for (int i = 0;; i++) {
+    const VolumeStack entry = stack_read(i);
+    if (entry.shader == SHADER_NONE) {
+      break;
+    }
+
+    /* Setup shader-data from stack. it's mostly setup already in
+     * shader_setup_from_volume, this switching should be quick. */
+    sd->object = entry.object;
+    sd->lamp = LAMP_NONE;
+    sd->shader = entry.shader;
+
+    sd->flag &= ~SD_SHADER_FLAGS;
+    sd->flag |= kernel_tex_fetch(__shaders, (sd->shader & SHADER_MASK)).flags;
+    sd->object_flag &= ~SD_OBJECT_FLAGS;
+
+    if (sd->object != OBJECT_NONE) {
+      sd->object_flag |= kernel_tex_fetch(__object_flag, sd->object);
+
+#  ifdef __OBJECT_MOTION__
+      /* todo: this is inefficient for motion blur, we should be
+       * caching matrices instead of recomputing them each step */
+      shader_setup_object_transforms(kg, sd, sd->time);
+#  endif
+    }
+
+    /* evaluate shader */
+#  ifdef __SVM__
+#    ifdef __OSL__
+    if (kg->osl) {
+      OSLShader::eval_volume(kg, state, sd, path_flag);
+    }
+    else
+#    endif
+    {
+      svm_eval_nodes<KERNEL_FEATURE_NODE_MASK_VOLUME, SHADER_TYPE_VOLUME>(
+          kg, state, sd, NULL, path_flag);
+    }
+#  endif
+
+    /* Merge closures to avoid exceeding number of closures limit. */
+    if (!shadow) {
+      if (i > 0) {
+        shader_merge_volume_closures(sd);
+      }
+    }
+  }
+}
+
+#endif /* __VOLUME__ */
+
+/* Displacement Evaluation */
+
+template<typename ConstIntegratorGenericState>
+ccl_device void shader_eval_displacement(KernelGlobals kg,
+                                         ConstIntegratorGenericState state,
+                                         ccl_private ShaderData *sd)
+{
+  sd->num_closure = 0;
+  sd->num_closure_left = 0;
+
+  /* this will modify sd->P */
+#ifdef __SVM__
+#  ifdef __OSL__
+  if (kg->osl)
+    OSLShader::eval_displacement(kg, state, sd);
+  else
+#  endif
+  {
+    svm_eval_nodes<KERNEL_FEATURE_NODE_MASK_DISPLACEMENT, SHADER_TYPE_DISPLACEMENT>(
+        kg, state, sd, NULL, 0);
+  }
+#endif
+}
+
+/* Cryptomatte */
+
+ccl_device float shader_cryptomatte_id(KernelGlobals kg, int shader)
+{
+  return kernel_tex_fetch(__shaders, (shader & SHADER_MASK)).cryptomatte_id;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/integrator/integrator_shadow_catcher.h b/intern/cycles/kernel/integrator/integrator_shadow_catcher.h
new file mode 100644
index 00000000000..24d03466393
--- /dev/null
+++ b/intern/cycles/kernel/integrator/integrator_shadow_catcher.h
@@ -0,0 +1,120 @@
+/*
+ * Copyright 2011-2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_state_util.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Check whether current surface bounce is where path is to be split for the shadow catcher. */
+ccl_device_inline bool kernel_shadow_catcher_is_path_split_bounce(KernelGlobals kg,
+                                                                  IntegratorState state,
+                                                                  const int object_flag)
+{
+#ifdef __SHADOW_CATCHER__
+  if (!kernel_data.integrator.has_shadow_catcher) {
+    return false;
+  }
+
+  /* Check the flag first, avoiding fetches form global memory. */
+  if ((object_flag & SD_OBJECT_SHADOW_CATCHER) == 0) {
+    return false;
+  }
+  if (object_flag & SD_OBJECT_HOLDOUT_MASK) {
+    return false;
+  }
+
+  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
+
+  if ((path_flag & PATH_RAY_TRANSPARENT_BACKGROUND) == 0) {
+    /* Split only on primary rays, secondary bounces are to treat shadow catcher as a regular
+     * object. */
+    return false;
+  }
+
+  if (path_flag & PATH_RAY_SHADOW_CATCHER_PASS) {
+    return false;
+  }
+
+  return true;
+#else
+  (void)object_flag;
+  return false;
+#endif
+}
+
+/* Check whether the current path can still split. */
+ccl_device_inline bool kernel_shadow_catcher_path_can_split(KernelGlobals kg,
+                                                            ConstIntegratorState state)
+{
+  if (INTEGRATOR_PATH_IS_TERMINATED) {
+    return false;
+  }
+
+  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
+
+  if (path_flag & PATH_RAY_SHADOW_CATCHER_HIT) {
+    /* Shadow catcher was already hit and the state was split. No further split is allowed. */
+    return false;
+  }
+
+  return (path_flag & PATH_RAY_TRANSPARENT_BACKGROUND) != 0;
+}
+
+/* NOTE: Leaves kernel scheduling information untouched. Use INIT semantic for one of the paths
+ * after this function. */
+ccl_device_inline bool kernel_shadow_catcher_split(KernelGlobals kg,
+                                                   IntegratorState state,
+                                                   const int object_flags)
+{
+#ifdef __SHADOW_CATCHER__
+
+  if (!kernel_shadow_catcher_is_path_split_bounce(kg, state, object_flags)) {
+    return false;
+  }
+
+  /* The split is to be done. Mark the current state as such, so that it stops contributing to the
+   * shadow catcher matte pass, but keeps contributing to the combined pass. */
+  INTEGRATOR_STATE_WRITE(state, path, flag) |= PATH_RAY_SHADOW_CATCHER_HIT;
+
+  /* Split new state from the current one. This new state will only track contribution of shadow
+   * catcher objects ignoring non-catcher objects. */
+  integrator_state_shadow_catcher_split(kg, state);
+
+  return true;
+#else
+  (void)object_flags;
+  return false;
+#endif
+}
+
+#ifdef __SHADOW_CATCHER__
+
+ccl_device_forceinline bool kernel_shadow_catcher_is_matte_path(const uint32_t path_flag)
+{
+  return (path_flag & PATH_RAY_SHADOW_CATCHER_HIT) == 0;
+}
+
+ccl_device_forceinline bool kernel_shadow_catcher_is_object_pass(const uint32_t path_flag)
+{
+  return path_flag & PATH_RAY_SHADOW_CATCHER_PASS;
+}
+
+#endif /* __SHADOW_CATCHER__ */
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/integrator/integrator_state_util.h b/intern/cycles/kernel/integrator/integrator_state_util.h
index 6e6b7f8a40f..0b1f67daa92 100644
--- a/intern/cycles/kernel/integrator/integrator_state_util.h
+++ b/intern/cycles/kernel/integrator/integrator_state_util.h
@@ -17,7 +17,8 @@
 #pragma once
 
 #include "kernel/integrator/integrator_state.h"
-#include "kernel/kernel_differential.h"
+
+#include "kernel/util/util_differential.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/integrator/integrator_subsurface.h b/intern/cycles/kernel/integrator/integrator_subsurface.h
index e3bf9db80f7..9560641c460 100644
--- a/intern/cycles/kernel/integrator/integrator_subsurface.h
+++ b/intern/cycles/kernel/integrator/integrator_subsurface.h
@@ -16,9 +16,7 @@
 
 #pragma once
 
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_projection.h"
-#include "kernel/kernel_shader.h"
+#include "kernel/camera/camera_projection.h"
 
 #include "kernel/bvh/bvh.h"
 
@@ -29,6 +27,8 @@
 #include "kernel/closure/volume.h"
 
 #include "kernel/integrator/integrator_intersect_volume_stack.h"
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_shader_eval.h"
 #include "kernel/integrator/integrator_subsurface_disk.h"
 #include "kernel/integrator/integrator_subsurface_random_walk.h"
 
diff --git a/intern/cycles/kernel/integrator/integrator_subsurface_random_walk.h b/intern/cycles/kernel/integrator/integrator_subsurface_random_walk.h
index 2ab6d0961e3..b98acda1f4d 100644
--- a/intern/cycles/kernel/integrator/integrator_subsurface_random_walk.h
+++ b/intern/cycles/kernel/integrator/integrator_subsurface_random_walk.h
@@ -14,7 +14,7 @@
  * limitations under the License.
  */
 
-#include "kernel/kernel_projection.h"
+#include "kernel/camera/camera_projection.h"
 
 #include "kernel/bvh/bvh.h"
 
diff --git a/intern/cycles/kernel/kernel_accumulate.h b/intern/cycles/kernel/kernel_accumulate.h
deleted file mode 100644
index c494cb4e189..00000000000
--- a/intern/cycles/kernel/kernel_accumulate.h
+++ /dev/null
@@ -1,559 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel_adaptive_sampling.h"
-#include "kernel_random.h"
-#include "kernel_shadow_catcher.h"
-#include "kernel_write_passes.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* --------------------------------------------------------------------
- * BSDF Evaluation
- *
- * BSDF evaluation result, split between diffuse and glossy. This is used to
- * accumulate render passes separately. Note that reflection, transmission
- * and volume scattering are written to different render passes, but we assume
- * that only one of those can happen at a bounce, and so do not need to accumulate
- * them separately. */
-
-ccl_device_inline void bsdf_eval_init(ccl_private BsdfEval *eval,
-                                      const bool is_diffuse,
-                                      float3 value)
-{
-  eval->diffuse = zero_float3();
-  eval->glossy = zero_float3();
-
-  if (is_diffuse) {
-    eval->diffuse = value;
-  }
-  else {
-    eval->glossy = value;
-  }
-}
-
-ccl_device_inline void bsdf_eval_accum(ccl_private BsdfEval *eval,
-                                       const bool is_diffuse,
-                                       float3 value,
-                                       float mis_weight)
-{
-  value *= mis_weight;
-
-  if (is_diffuse) {
-    eval->diffuse += value;
-  }
-  else {
-    eval->glossy += value;
-  }
-}
-
-ccl_device_inline bool bsdf_eval_is_zero(ccl_private BsdfEval *eval)
-{
-  return is_zero(eval->diffuse) && is_zero(eval->glossy);
-}
-
-ccl_device_inline void bsdf_eval_mul(ccl_private BsdfEval *eval, float value)
-{
-  eval->diffuse *= value;
-  eval->glossy *= value;
-}
-
-ccl_device_inline void bsdf_eval_mul3(ccl_private BsdfEval *eval, float3 value)
-{
-  eval->diffuse *= value;
-  eval->glossy *= value;
-}
-
-ccl_device_inline float3 bsdf_eval_sum(ccl_private const BsdfEval *eval)
-{
-  return eval->diffuse + eval->glossy;
-}
-
-ccl_device_inline float3 bsdf_eval_diffuse_glossy_ratio(ccl_private const BsdfEval *eval)
-{
-  /* Ratio of diffuse and glossy to recover proportions for writing to render pass.
-   * We assume reflection, transmission and volume scatter to be exclusive. */
-  return safe_divide_float3_float3(eval->diffuse, eval->diffuse + eval->glossy);
-}
-
-/* --------------------------------------------------------------------
- * Clamping
- *
- * Clamping is done on a per-contribution basis so that we can write directly
- * to render buffers instead of using per-thread memory, and to avoid the
- * impact of clamping on other contributions. */
-
-ccl_device_forceinline void kernel_accum_clamp(KernelGlobals kg, ccl_private float3 *L, int bounce)
-{
-#ifdef __KERNEL_DEBUG_NAN__
-  if (!isfinite3_safe(*L)) {
-    kernel_assert(!"Cycles sample with non-finite value detected");
-  }
-#endif
-  /* Make sure all components are finite, allowing the contribution to be usable by adaptive
-   * sampling convergence check, but also to make it so render result never causes issues with
-   * post-processing. */
-  *L = ensure_finite3(*L);
-
-#ifdef __CLAMP_SAMPLE__
-  float limit = (bounce > 0) ? kernel_data.integrator.sample_clamp_indirect :
-                               kernel_data.integrator.sample_clamp_direct;
-  float sum = reduce_add(fabs(*L));
-  if (sum > limit) {
-    *L *= limit / sum;
-  }
-#endif
-}
-
-/* --------------------------------------------------------------------
- * Pass accumulation utilities.
- */
-
-/* Get pointer to pixel in render buffer. */
-ccl_device_forceinline ccl_global float *kernel_accum_pixel_render_buffer(
-    KernelGlobals kg, ConstIntegratorState state, ccl_global float *ccl_restrict render_buffer)
-{
-  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, path, render_pixel_index);
-  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
-                                        kernel_data.film.pass_stride;
-  return render_buffer + render_buffer_offset;
-}
-
-/* --------------------------------------------------------------------
- * Adaptive sampling.
- */
-
-ccl_device_inline int kernel_accum_sample(KernelGlobals kg,
-                                          ConstIntegratorState state,
-                                          ccl_global float *ccl_restrict render_buffer,
-                                          int sample)
-{
-  if (kernel_data.film.pass_sample_count == PASS_UNUSED) {
-    return sample;
-  }
-
-  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
-
-  return atomic_fetch_and_add_uint32((uint *)(buffer) + kernel_data.film.pass_sample_count, 1);
-}
-
-ccl_device void kernel_accum_adaptive_buffer(KernelGlobals kg,
-                                             const int sample,
-                                             const float3 contribution,
-                                             ccl_global float *ccl_restrict buffer)
-{
-  /* Adaptive Sampling. Fill the additional buffer with the odd samples and calculate our stopping
-   * criteria. This is the heuristic from "A hierarchical automatic stopping condition for Monte
-   * Carlo global illumination" except that here it is applied per pixel and not in hierarchical
-   * tiles. */
-
-  if (kernel_data.film.pass_adaptive_aux_buffer == PASS_UNUSED) {
-    return;
-  }
-
-  if (sample_is_even(kernel_data.integrator.sampling_pattern, sample)) {
-    kernel_write_pass_float4(
-        buffer + kernel_data.film.pass_adaptive_aux_buffer,
-        make_float4(contribution.x * 2.0f, contribution.y * 2.0f, contribution.z * 2.0f, 0.0f));
-  }
-}
-
-/* --------------------------------------------------------------------
- * Shadow catcher.
- */
-
-#ifdef __SHADOW_CATCHER__
-
-/* Accumulate contribution to the Shadow Catcher pass.
- *
- * Returns truth if the contribution is fully handled here and is not to be added to the other
- * passes (like combined, adaptive sampling). */
-
-ccl_device bool kernel_accum_shadow_catcher(KernelGlobals kg,
-                                            const uint32_t path_flag,
-                                            const float3 contribution,
-                                            ccl_global float *ccl_restrict buffer)
-{
-  if (!kernel_data.integrator.has_shadow_catcher) {
-    return false;
-  }
-
-  kernel_assert(kernel_data.film.pass_shadow_catcher != PASS_UNUSED);
-  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
-
-  /* Matte pass. */
-  if (kernel_shadow_catcher_is_matte_path(path_flag)) {
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow_catcher_matte, contribution);
-    /* NOTE: Accumulate the combined pass and to the samples count pass, so that the adaptive
-     * sampling is based on how noisy the combined pass is as if there were no catchers in the
-     * scene. */
-  }
-
-  /* Shadow catcher pass. */
-  if (kernel_shadow_catcher_is_object_pass(path_flag)) {
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow_catcher, contribution);
-    return true;
-  }
-
-  return false;
-}
-
-ccl_device bool kernel_accum_shadow_catcher_transparent(KernelGlobals kg,
-                                                        const uint32_t path_flag,
-                                                        const float3 contribution,
-                                                        const float transparent,
-                                                        ccl_global float *ccl_restrict buffer)
-{
-  if (!kernel_data.integrator.has_shadow_catcher) {
-    return false;
-  }
-
-  kernel_assert(kernel_data.film.pass_shadow_catcher != PASS_UNUSED);
-  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
-
-  if (path_flag & PATH_RAY_SHADOW_CATCHER_BACKGROUND) {
-    return true;
-  }
-
-  /* Matte pass. */
-  if (kernel_shadow_catcher_is_matte_path(path_flag)) {
-    kernel_write_pass_float4(
-        buffer + kernel_data.film.pass_shadow_catcher_matte,
-        make_float4(contribution.x, contribution.y, contribution.z, transparent));
-    /* NOTE: Accumulate the combined pass and to the samples count pass, so that the adaptive
-     * sampling is based on how noisy the combined pass is as if there were no catchers in the
-     * scene. */
-  }
-
-  /* Shadow catcher pass. */
-  if (kernel_shadow_catcher_is_object_pass(path_flag)) {
-    /* NOTE: The transparency of the shadow catcher pass is ignored. It is not needed for the
-     * calculation and the alpha channel of the pass contains numbers of samples contributed to a
-     * pixel of the pass. */
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow_catcher, contribution);
-    return true;
-  }
-
-  return false;
-}
-
-ccl_device void kernel_accum_shadow_catcher_transparent_only(KernelGlobals kg,
-                                                             const uint32_t path_flag,
-                                                             const float transparent,
-                                                             ccl_global float *ccl_restrict buffer)
-{
-  if (!kernel_data.integrator.has_shadow_catcher) {
-    return;
-  }
-
-  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
-
-  /* Matte pass. */
-  if (kernel_shadow_catcher_is_matte_path(path_flag)) {
-    kernel_write_pass_float(buffer + kernel_data.film.pass_shadow_catcher_matte + 3, transparent);
-  }
-}
-
-#endif /* __SHADOW_CATCHER__ */
-
-/* --------------------------------------------------------------------
- * Render passes.
- */
-
-/* Write combined pass. */
-ccl_device_inline void kernel_accum_combined_pass(KernelGlobals kg,
-                                                  const uint32_t path_flag,
-                                                  const int sample,
-                                                  const float3 contribution,
-                                                  ccl_global float *ccl_restrict buffer)
-{
-#ifdef __SHADOW_CATCHER__
-  if (kernel_accum_shadow_catcher(kg, path_flag, contribution, buffer)) {
-    return;
-  }
-#endif
-
-  if (kernel_data.film.light_pass_flag & PASSMASK(COMBINED)) {
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_combined, contribution);
-  }
-
-  kernel_accum_adaptive_buffer(kg, sample, contribution, buffer);
-}
-
-/* Write combined pass with transparency. */
-ccl_device_inline void kernel_accum_combined_transparent_pass(KernelGlobals kg,
-                                                              const uint32_t path_flag,
-                                                              const int sample,
-                                                              const float3 contribution,
-                                                              const float transparent,
-                                                              ccl_global float *ccl_restrict
-                                                                  buffer)
-{
-#ifdef __SHADOW_CATCHER__
-  if (kernel_accum_shadow_catcher_transparent(kg, path_flag, contribution, transparent, buffer)) {
-    return;
-  }
-#endif
-
-  if (kernel_data.film.light_pass_flag & PASSMASK(COMBINED)) {
-    kernel_write_pass_float4(
-        buffer + kernel_data.film.pass_combined,
-        make_float4(contribution.x, contribution.y, contribution.z, transparent));
-  }
-
-  kernel_accum_adaptive_buffer(kg, sample, contribution, buffer);
-}
-
-/* Write background or emission to appropriate pass. */
-ccl_device_inline void kernel_accum_emission_or_background_pass(KernelGlobals kg,
-                                                                ConstIntegratorState state,
-                                                                float3 contribution,
-                                                                ccl_global float *ccl_restrict
-                                                                    buffer,
-                                                                const int pass)
-{
-  if (!(kernel_data.film.light_pass_flag & PASS_ANY)) {
-    return;
-  }
-
-#ifdef __PASSES__
-  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
-  int pass_offset = PASS_UNUSED;
-
-  /* Denoising albedo. */
-#  ifdef __DENOISING_FEATURES__
-  if (path_flag & PATH_RAY_DENOISING_FEATURES) {
-    if (kernel_data.film.pass_denoising_albedo != PASS_UNUSED) {
-      const float3 denoising_feature_throughput = INTEGRATOR_STATE(
-          state, path, denoising_feature_throughput);
-      const float3 denoising_albedo = denoising_feature_throughput * contribution;
-      kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_albedo, denoising_albedo);
-    }
-  }
-#  endif /* __DENOISING_FEATURES__ */
-
-  if (!(path_flag & PATH_RAY_ANY_PASS)) {
-    /* Directly visible, write to emission or background pass. */
-    pass_offset = pass;
-  }
-  else if (path_flag & (PATH_RAY_REFLECT_PASS | PATH_RAY_TRANSMISSION_PASS)) {
-    /* Indirectly visible through reflection. */
-    const int glossy_pass_offset = (path_flag & PATH_RAY_REFLECT_PASS) ?
-                                       ((INTEGRATOR_STATE(state, path, bounce) == 1) ?
-                                            kernel_data.film.pass_glossy_direct :
-                                            kernel_data.film.pass_glossy_indirect) :
-                                       ((INTEGRATOR_STATE(state, path, bounce) == 1) ?
-                                            kernel_data.film.pass_transmission_direct :
-                                            kernel_data.film.pass_transmission_indirect);
-
-    if (glossy_pass_offset != PASS_UNUSED) {
-      /* Glossy is a subset of the throughput, reconstruct it here using the
-       * diffuse-glossy ratio. */
-      const float3 ratio = INTEGRATOR_STATE(state, path, diffuse_glossy_ratio);
-      const float3 glossy_contribution = (one_float3() - ratio) * contribution;
-      kernel_write_pass_float3(buffer + glossy_pass_offset, glossy_contribution);
-    }
-
-    /* Reconstruct diffuse subset of throughput. */
-    pass_offset = (INTEGRATOR_STATE(state, path, bounce) == 1) ?
-                      kernel_data.film.pass_diffuse_direct :
-                      kernel_data.film.pass_diffuse_indirect;
-    if (pass_offset != PASS_UNUSED) {
-      contribution *= INTEGRATOR_STATE(state, path, diffuse_glossy_ratio);
-    }
-  }
-  else if (path_flag & PATH_RAY_VOLUME_PASS) {
-    /* Indirectly visible through volume. */
-    pass_offset = (INTEGRATOR_STATE(state, path, bounce) == 1) ?
-                      kernel_data.film.pass_volume_direct :
-                      kernel_data.film.pass_volume_indirect;
-  }
-
-  /* Single write call for GPU coherence. */
-  if (pass_offset != PASS_UNUSED) {
-    kernel_write_pass_float3(buffer + pass_offset, contribution);
-  }
-#endif /* __PASSES__ */
-}
-
-/* Write light contribution to render buffer. */
-ccl_device_inline void kernel_accum_light(KernelGlobals kg,
-                                          ConstIntegratorShadowState state,
-                                          ccl_global float *ccl_restrict render_buffer)
-{
-  /* The throughput for shadow paths already contains the light shader evaluation. */
-  float3 contribution = INTEGRATOR_STATE(state, shadow_path, throughput);
-  kernel_accum_clamp(kg, &contribution, INTEGRATOR_STATE(state, shadow_path, bounce));
-
-  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, shadow_path, render_pixel_index);
-  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
-                                        kernel_data.film.pass_stride;
-  ccl_global float *buffer = render_buffer + render_buffer_offset;
-
-  const uint32_t path_flag = INTEGRATOR_STATE(state, shadow_path, flag);
-  const int sample = INTEGRATOR_STATE(state, shadow_path, sample);
-
-  /* Ambient occlusion. */
-  if (path_flag & PATH_RAY_SHADOW_FOR_AO) {
-    if ((kernel_data.kernel_features & KERNEL_FEATURE_AO_PASS) && (path_flag & PATH_RAY_CAMERA)) {
-      kernel_write_pass_float3(buffer + kernel_data.film.pass_ao, contribution);
-    }
-    if (kernel_data.kernel_features & KERNEL_FEATURE_AO_ADDITIVE) {
-      const float3 ao_weight = INTEGRATOR_STATE(state, shadow_path, unshadowed_throughput);
-      kernel_accum_combined_pass(kg, path_flag, sample, contribution * ao_weight, buffer);
-    }
-    return;
-  }
-
-  /* Direct light shadow. */
-  kernel_accum_combined_pass(kg, path_flag, sample, contribution, buffer);
-
-#ifdef __PASSES__
-  if (kernel_data.film.light_pass_flag & PASS_ANY) {
-    const uint32_t path_flag = INTEGRATOR_STATE(state, shadow_path, flag);
-    int pass_offset = PASS_UNUSED;
-
-    if (path_flag & (PATH_RAY_REFLECT_PASS | PATH_RAY_TRANSMISSION_PASS)) {
-      /* Indirectly visible through reflection. */
-      const int glossy_pass_offset = (path_flag & PATH_RAY_REFLECT_PASS) ?
-                                         ((INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
-                                              kernel_data.film.pass_glossy_direct :
-                                              kernel_data.film.pass_glossy_indirect) :
-                                         ((INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
-                                              kernel_data.film.pass_transmission_direct :
-                                              kernel_data.film.pass_transmission_indirect);
-
-      if (glossy_pass_offset != PASS_UNUSED) {
-        /* Glossy is a subset of the throughput, reconstruct it here using the
-         * diffuse-glossy ratio. */
-        const float3 ratio = INTEGRATOR_STATE(state, shadow_path, diffuse_glossy_ratio);
-        const float3 glossy_contribution = (one_float3() - ratio) * contribution;
-        kernel_write_pass_float3(buffer + glossy_pass_offset, glossy_contribution);
-      }
-
-      /* Reconstruct diffuse subset of throughput. */
-      pass_offset = (INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
-                        kernel_data.film.pass_diffuse_direct :
-                        kernel_data.film.pass_diffuse_indirect;
-      if (pass_offset != PASS_UNUSED) {
-        contribution *= INTEGRATOR_STATE(state, shadow_path, diffuse_glossy_ratio);
-      }
-    }
-    else if (path_flag & PATH_RAY_VOLUME_PASS) {
-      /* Indirectly visible through volume. */
-      pass_offset = (INTEGRATOR_STATE(state, shadow_path, bounce) == 0) ?
-                        kernel_data.film.pass_volume_direct :
-                        kernel_data.film.pass_volume_indirect;
-    }
-
-    /* Single write call for GPU coherence. */
-    if (pass_offset != PASS_UNUSED) {
-      kernel_write_pass_float3(buffer + pass_offset, contribution);
-    }
-
-    /* Write shadow pass. */
-    if (kernel_data.film.pass_shadow != PASS_UNUSED && (path_flag & PATH_RAY_SHADOW_FOR_LIGHT) &&
-        (path_flag & PATH_RAY_CAMERA)) {
-      const float3 unshadowed_throughput = INTEGRATOR_STATE(
-          state, shadow_path, unshadowed_throughput);
-      const float3 shadowed_throughput = INTEGRATOR_STATE(state, shadow_path, throughput);
-      const float3 shadow = safe_divide_float3_float3(shadowed_throughput, unshadowed_throughput) *
-                            kernel_data.film.pass_shadow_scale;
-      kernel_write_pass_float3(buffer + kernel_data.film.pass_shadow, shadow);
-    }
-  }
-#endif
-}
-
-/* Write transparency to render buffer.
- *
- * Note that we accumulate transparency = 1 - alpha in the render buffer.
- * Otherwise we'd have to write alpha on path termination, which happens
- * in many places. */
-ccl_device_inline void kernel_accum_transparent(KernelGlobals kg,
-                                                ConstIntegratorState state,
-                                                const uint32_t path_flag,
-                                                const float transparent,
-                                                ccl_global float *ccl_restrict buffer)
-{
-  if (kernel_data.film.light_pass_flag & PASSMASK(COMBINED)) {
-    kernel_write_pass_float(buffer + kernel_data.film.pass_combined + 3, transparent);
-  }
-
-  kernel_accum_shadow_catcher_transparent_only(kg, path_flag, transparent, buffer);
-}
-
-/* Write holdout to render buffer. */
-ccl_device_inline void kernel_accum_holdout(KernelGlobals kg,
-                                            ConstIntegratorState state,
-                                            const uint32_t path_flag,
-                                            const float transparent,
-                                            ccl_global float *ccl_restrict render_buffer)
-{
-  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
-  kernel_accum_transparent(kg, state, path_flag, transparent, buffer);
-}
-
-/* Write background contribution to render buffer.
- *
- * Includes transparency, matching kernel_accum_transparent. */
-ccl_device_inline void kernel_accum_background(KernelGlobals kg,
-                                               ConstIntegratorState state,
-                                               const float3 L,
-                                               const float transparent,
-                                               const bool is_transparent_background_ray,
-                                               ccl_global float *ccl_restrict render_buffer)
-{
-  float3 contribution = INTEGRATOR_STATE(state, path, throughput) * L;
-  kernel_accum_clamp(kg, &contribution, INTEGRATOR_STATE(state, path, bounce) - 1);
-
-  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
-  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
-
-  if (is_transparent_background_ray) {
-    kernel_accum_transparent(kg, state, path_flag, transparent, buffer);
-  }
-  else {
-    const int sample = INTEGRATOR_STATE(state, path, sample);
-    kernel_accum_combined_transparent_pass(
-        kg, path_flag, sample, contribution, transparent, buffer);
-  }
-  kernel_accum_emission_or_background_pass(
-      kg, state, contribution, buffer, kernel_data.film.pass_background);
-}
-
-/* Write emission to render buffer. */
-ccl_device_inline void kernel_accum_emission(KernelGlobals kg,
-                                             ConstIntegratorState state,
-                                             const float3 throughput,
-                                             const float3 L,
-                                             ccl_global float *ccl_restrict render_buffer)
-{
-  float3 contribution = throughput * L;
-  kernel_accum_clamp(kg, &contribution, INTEGRATOR_STATE(state, path, bounce) - 1);
-
-  ccl_global float *buffer = kernel_accum_pixel_render_buffer(kg, state, render_buffer);
-  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
-  const int sample = INTEGRATOR_STATE(state, path, sample);
-
-  kernel_accum_combined_pass(kg, path_flag, sample, contribution, buffer);
-  kernel_accum_emission_or_background_pass(
-      kg, state, contribution, buffer, kernel_data.film.pass_emission);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_adaptive_sampling.h b/intern/cycles/kernel/kernel_adaptive_sampling.h
deleted file mode 100644
index b80853fcc51..00000000000
--- a/intern/cycles/kernel/kernel_adaptive_sampling.h
+++ /dev/null
@@ -1,160 +0,0 @@
-/*
- * Copyright 2019 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel/kernel_write_passes.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Check whether the pixel has converged and should not be sampled anymore. */
-
-ccl_device_forceinline bool kernel_need_sample_pixel(KernelGlobals kg,
-                                                     ConstIntegratorState state,
-                                                     ccl_global float *render_buffer)
-{
-  if (kernel_data.film.pass_adaptive_aux_buffer == PASS_UNUSED) {
-    return true;
-  }
-
-  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, path, render_pixel_index);
-  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
-                                        kernel_data.film.pass_stride;
-  ccl_global float *buffer = render_buffer + render_buffer_offset;
-
-  const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
-  return buffer[aux_w_offset] == 0.0f;
-}
-
-/* Determines whether to continue sampling a given pixel or if it has sufficiently converged. */
-
-ccl_device bool kernel_adaptive_sampling_convergence_check(KernelGlobals kg,
-                                                           ccl_global float *render_buffer,
-                                                           int x,
-                                                           int y,
-                                                           float threshold,
-                                                           bool reset,
-                                                           int offset,
-                                                           int stride)
-{
-  kernel_assert(kernel_data.film.pass_adaptive_aux_buffer != PASS_UNUSED);
-  kernel_assert(kernel_data.film.pass_sample_count != PASS_UNUSED);
-
-  const int render_pixel_index = offset + x + y * stride;
-  ccl_global float *buffer = render_buffer +
-                             (uint64_t)render_pixel_index * kernel_data.film.pass_stride;
-
-  /* TODO(Stefan): Is this better in linear, sRGB or something else? */
-
-  const float4 A = kernel_read_pass_float4(buffer + kernel_data.film.pass_adaptive_aux_buffer);
-  if (!reset && A.w != 0.0f) {
-    /* If the pixel was considered converged, its state will not change in this kernel. Early
-     * output before doing any math.
-     *
-     * TODO(sergey): On a GPU it might be better to keep thread alive for better coherency? */
-    return true;
-  }
-
-  const float4 I = kernel_read_pass_float4(buffer + kernel_data.film.pass_combined);
-
-  const float sample = __float_as_uint(buffer[kernel_data.film.pass_sample_count]);
-  const float inv_sample = 1.0f / sample;
-
-  /* The per pixel error as seen in section 2.1 of
-   * "A hierarchical automatic stopping condition for Monte Carlo global illumination" */
-  const float error_difference = (fabsf(I.x - A.x) + fabsf(I.y - A.y) + fabsf(I.z - A.z)) *
-                                 inv_sample;
-  const float error_normalize = sqrtf((I.x + I.y + I.z) * inv_sample);
-  /* A small epsilon is added to the divisor to prevent division by zero. */
-  const float error = error_difference / (0.0001f + error_normalize);
-  const bool did_converge = (error < threshold);
-
-  const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
-  buffer[aux_w_offset] = did_converge;
-
-  return did_converge;
-}
-
-/* This is a simple box filter in two passes.
- * When a pixel demands more adaptive samples, let its neighboring pixels draw more samples too. */
-
-ccl_device void kernel_adaptive_sampling_filter_x(KernelGlobals kg,
-                                                  ccl_global float *render_buffer,
-                                                  int y,
-                                                  int start_x,
-                                                  int width,
-                                                  int offset,
-                                                  int stride)
-{
-  kernel_assert(kernel_data.film.pass_adaptive_aux_buffer != PASS_UNUSED);
-
-  bool prev = false;
-  for (int x = start_x; x < start_x + width; ++x) {
-    int index = offset + x + y * stride;
-    ccl_global float *buffer = render_buffer + index * kernel_data.film.pass_stride;
-    const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
-
-    if (buffer[aux_w_offset] == 0.0f) {
-      if (x > start_x && !prev) {
-        index = index - 1;
-        buffer = render_buffer + index * kernel_data.film.pass_stride;
-        buffer[aux_w_offset] = 0.0f;
-      }
-      prev = true;
-    }
-    else {
-      if (prev) {
-        buffer[aux_w_offset] = 0.0f;
-      }
-      prev = false;
-    }
-  }
-}
-
-ccl_device void kernel_adaptive_sampling_filter_y(KernelGlobals kg,
-                                                  ccl_global float *render_buffer,
-                                                  int x,
-                                                  int start_y,
-                                                  int height,
-                                                  int offset,
-                                                  int stride)
-{
-  kernel_assert(kernel_data.film.pass_adaptive_aux_buffer != PASS_UNUSED);
-
-  bool prev = false;
-  for (int y = start_y; y < start_y + height; ++y) {
-    int index = offset + x + y * stride;
-    ccl_global float *buffer = render_buffer + index * kernel_data.film.pass_stride;
-    const uint aux_w_offset = kernel_data.film.pass_adaptive_aux_buffer + 3;
-
-    if (buffer[aux_w_offset] == 0.0f) {
-      if (y > start_y && !prev) {
-        index = index - stride;
-        buffer = render_buffer + index * kernel_data.film.pass_stride;
-        buffer[aux_w_offset] = 0.0f;
-      }
-      prev = true;
-    }
-    else {
-      if (prev) {
-        buffer[aux_w_offset] = 0.0f;
-      }
-      prev = false;
-    }
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_bake.h b/intern/cycles/kernel/kernel_bake.h
deleted file mode 100644
index 30a41b9d3e3..00000000000
--- a/intern/cycles/kernel/kernel_bake.h
+++ /dev/null
@@ -1,120 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel/kernel_differential.h"
-#include "kernel/kernel_projection.h"
-#include "kernel/kernel_shader.h"
-
-#include "kernel/geom/geom.h"
-
-CCL_NAMESPACE_BEGIN
-
-ccl_device void kernel_displace_evaluate(KernelGlobals kg,
-                                         ccl_global const KernelShaderEvalInput *input,
-                                         ccl_global float *output,
-                                         const int offset)
-{
-  /* Setup shader data. */
-  const KernelShaderEvalInput in = input[offset];
-
-  ShaderData sd;
-  shader_setup_from_displace(kg, &sd, in.object, in.prim, in.u, in.v);
-
-  /* Evaluate displacement shader. */
-  const float3 P = sd.P;
-  shader_eval_displacement(kg, INTEGRATOR_STATE_NULL, &sd);
-  float3 D = sd.P - P;
-
-  object_inverse_dir_transform(kg, &sd, &D);
-
-#ifdef __KERNEL_DEBUG_NAN__
-  if (!isfinite3_safe(D)) {
-    kernel_assert(!"Cycles displacement with non-finite value detected");
-  }
-#endif
-
-  /* Ensure finite displacement, preventing BVH from becoming degenerate and avoiding possible
-   * traversal issues caused by non-finite math. */
-  D = ensure_finite3(D);
-
-  /* Write output. */
-  output[offset * 3 + 0] += D.x;
-  output[offset * 3 + 1] += D.y;
-  output[offset * 3 + 2] += D.z;
-}
-
-ccl_device void kernel_background_evaluate(KernelGlobals kg,
-                                           ccl_global const KernelShaderEvalInput *input,
-                                           ccl_global float *output,
-                                           const int offset)
-{
-  /* Setup ray */
-  const KernelShaderEvalInput in = input[offset];
-  const float3 ray_P = zero_float3();
-  const float3 ray_D = equirectangular_to_direction(in.u, in.v);
-  const float ray_time = 0.5f;
-
-  /* Setup shader data. */
-  ShaderData sd;
-  shader_setup_from_background(kg, &sd, ray_P, ray_D, ray_time);
-
-  /* Evaluate shader.
-   * This is being evaluated for all BSDFs, so path flag does not contain a specific type. */
-  const uint32_t path_flag = PATH_RAY_EMISSION;
-  shader_eval_surface<KERNEL_FEATURE_NODE_MASK_SURFACE_LIGHT &
-                      ~(KERNEL_FEATURE_NODE_RAYTRACE | KERNEL_FEATURE_NODE_LIGHT_PATH)>(
-      kg, INTEGRATOR_STATE_NULL, &sd, NULL, path_flag);
-  float3 color = shader_background_eval(&sd);
-
-#ifdef __KERNEL_DEBUG_NAN__
-  if (!isfinite3_safe(color)) {
-    kernel_assert(!"Cycles background with non-finite value detected");
-  }
-#endif
-
-  /* Ensure finite color, avoiding possible numerical instabilities in the path tracing kernels. */
-  color = ensure_finite3(color);
-
-  /* Write output. */
-  output[offset * 3 + 0] += color.x;
-  output[offset * 3 + 1] += color.y;
-  output[offset * 3 + 2] += color.z;
-}
-
-ccl_device void kernel_curve_shadow_transparency_evaluate(
-    KernelGlobals kg,
-    ccl_global const KernelShaderEvalInput *input,
-    ccl_global float *output,
-    const int offset)
-{
-  /* Setup shader data. */
-  const KernelShaderEvalInput in = input[offset];
-
-  ShaderData sd;
-  shader_setup_from_curve(kg, &sd, in.object, in.prim, __float_as_int(in.v), in.u);
-
-  /* Evaluate transparency. */
-  shader_eval_surface<KERNEL_FEATURE_NODE_MASK_SURFACE_SHADOW &
-                      ~(KERNEL_FEATURE_NODE_RAYTRACE | KERNEL_FEATURE_NODE_LIGHT_PATH)>(
-      kg, INTEGRATOR_STATE_NULL, &sd, NULL, PATH_RAY_SHADOW);
-
-  /* Write output. */
-  output[offset] = clamp(average(shader_bsdf_transparency(kg, &sd)), 0.0f, 1.0f);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_camera.h b/intern/cycles/kernel/kernel_camera.h
deleted file mode 100644
index 58a34668f45..00000000000
--- a/intern/cycles/kernel/kernel_camera.h
+++ /dev/null
@@ -1,521 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel_differential.h"
-#include "kernel_lookup_table.h"
-#include "kernel_montecarlo.h"
-#include "kernel_projection.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Perspective Camera */
-
-ccl_device float2 camera_sample_aperture(ccl_constant KernelCamera *cam, float u, float v)
-{
-  float blades = cam->blades;
-  float2 bokeh;
-
-  if (blades == 0.0f) {
-    /* sample disk */
-    bokeh = concentric_sample_disk(u, v);
-  }
-  else {
-    /* sample polygon */
-    float rotation = cam->bladesrotation;
-    bokeh = regular_polygon_sample(blades, rotation, u, v);
-  }
-
-  /* anamorphic lens bokeh */
-  bokeh.x *= cam->inv_aperture_ratio;
-
-  return bokeh;
-}
-
-ccl_device void camera_sample_perspective(KernelGlobals kg,
-                                          float raster_x,
-                                          float raster_y,
-                                          float lens_u,
-                                          float lens_v,
-                                          ccl_private Ray *ray)
-{
-  /* create ray form raster position */
-  ProjectionTransform rastertocamera = kernel_data.cam.rastertocamera;
-  float3 raster = make_float3(raster_x, raster_y, 0.0f);
-  float3 Pcamera = transform_perspective(&rastertocamera, raster);
-
-#ifdef __CAMERA_MOTION__
-  if (kernel_data.cam.have_perspective_motion) {
-    /* TODO(sergey): Currently we interpolate projected coordinate which
-     * gives nice looking result and which is simple, but is in fact a bit
-     * different comparing to constructing projective matrix from an
-     * interpolated field of view.
-     */
-    if (ray->time < 0.5f) {
-      ProjectionTransform rastertocamera_pre = kernel_data.cam.perspective_pre;
-      float3 Pcamera_pre = transform_perspective(&rastertocamera_pre, raster);
-      Pcamera = interp(Pcamera_pre, Pcamera, ray->time * 2.0f);
-    }
-    else {
-      ProjectionTransform rastertocamera_post = kernel_data.cam.perspective_post;
-      float3 Pcamera_post = transform_perspective(&rastertocamera_post, raster);
-      Pcamera = interp(Pcamera, Pcamera_post, (ray->time - 0.5f) * 2.0f);
-    }
-  }
-#endif
-
-  float3 P = zero_float3();
-  float3 D = Pcamera;
-
-  /* modify ray for depth of field */
-  float aperturesize = kernel_data.cam.aperturesize;
-
-  if (aperturesize > 0.0f) {
-    /* sample point on aperture */
-    float2 lensuv = camera_sample_aperture(&kernel_data.cam, lens_u, lens_v) * aperturesize;
-
-    /* compute point on plane of focus */
-    float ft = kernel_data.cam.focaldistance / D.z;
-    float3 Pfocus = D * ft;
-
-    /* update ray for effect of lens */
-    P = make_float3(lensuv.x, lensuv.y, 0.0f);
-    D = normalize(Pfocus - P);
-  }
-
-  /* transform ray from camera to world */
-  Transform cameratoworld = kernel_data.cam.cameratoworld;
-
-#ifdef __CAMERA_MOTION__
-  if (kernel_data.cam.num_motion_steps) {
-    transform_motion_array_interpolate(&cameratoworld,
-                                       kernel_tex_array(__camera_motion),
-                                       kernel_data.cam.num_motion_steps,
-                                       ray->time);
-  }
-#endif
-
-  P = transform_point(&cameratoworld, P);
-  D = normalize(transform_direction(&cameratoworld, D));
-
-  bool use_stereo = kernel_data.cam.interocular_offset != 0.0f;
-  if (!use_stereo) {
-    /* No stereo */
-    ray->P = P;
-    ray->D = D;
-
-#ifdef __RAY_DIFFERENTIALS__
-    float3 Dcenter = transform_direction(&cameratoworld, Pcamera);
-    float3 Dcenter_normalized = normalize(Dcenter);
-
-    /* TODO: can this be optimized to give compact differentials directly? */
-    ray->dP = differential_zero_compact();
-    differential3 dD;
-    dD.dx = normalize(Dcenter + float4_to_float3(kernel_data.cam.dx)) - Dcenter_normalized;
-    dD.dy = normalize(Dcenter + float4_to_float3(kernel_data.cam.dy)) - Dcenter_normalized;
-    ray->dD = differential_make_compact(dD);
-#endif
-  }
-  else {
-    /* Spherical stereo */
-    spherical_stereo_transform(&kernel_data.cam, &P, &D);
-    ray->P = P;
-    ray->D = D;
-
-#ifdef __RAY_DIFFERENTIALS__
-    /* Ray differentials, computed from scratch using the raster coordinates
-     * because we don't want to be affected by depth of field. We compute
-     * ray origin and direction for the center and two neighboring pixels
-     * and simply take their differences. */
-    float3 Pnostereo = transform_point(&cameratoworld, zero_float3());
-
-    float3 Pcenter = Pnostereo;
-    float3 Dcenter = Pcamera;
-    Dcenter = normalize(transform_direction(&cameratoworld, Dcenter));
-    spherical_stereo_transform(&kernel_data.cam, &Pcenter, &Dcenter);
-
-    float3 Px = Pnostereo;
-    float3 Dx = transform_perspective(&rastertocamera,
-                                      make_float3(raster_x + 1.0f, raster_y, 0.0f));
-    Dx = normalize(transform_direction(&cameratoworld, Dx));
-    spherical_stereo_transform(&kernel_data.cam, &Px, &Dx);
-
-    differential3 dP, dD;
-
-    dP.dx = Px - Pcenter;
-    dD.dx = Dx - Dcenter;
-
-    float3 Py = Pnostereo;
-    float3 Dy = transform_perspective(&rastertocamera,
-                                      make_float3(raster_x, raster_y + 1.0f, 0.0f));
-    Dy = normalize(transform_direction(&cameratoworld, Dy));
-    spherical_stereo_transform(&kernel_data.cam, &Py, &Dy);
-
-    dP.dy = Py - Pcenter;
-    dD.dy = Dy - Dcenter;
-    ray->dD = differential_make_compact(dD);
-    ray->dP = differential_make_compact(dP);
-#endif
-  }
-
-#ifdef __CAMERA_CLIPPING__
-  /* clipping */
-  float z_inv = 1.0f / normalize(Pcamera).z;
-  float nearclip = kernel_data.cam.nearclip * z_inv;
-  ray->P += nearclip * ray->D;
-  ray->dP += nearclip * ray->dD;
-  ray->t = kernel_data.cam.cliplength * z_inv;
-#else
-  ray->t = FLT_MAX;
-#endif
-}
-
-/* Orthographic Camera */
-ccl_device void camera_sample_orthographic(KernelGlobals kg,
-                                           float raster_x,
-                                           float raster_y,
-                                           float lens_u,
-                                           float lens_v,
-                                           ccl_private Ray *ray)
-{
-  /* create ray form raster position */
-  ProjectionTransform rastertocamera = kernel_data.cam.rastertocamera;
-  float3 Pcamera = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
-
-  float3 P;
-  float3 D = make_float3(0.0f, 0.0f, 1.0f);
-
-  /* modify ray for depth of field */
-  float aperturesize = kernel_data.cam.aperturesize;
-
-  if (aperturesize > 0.0f) {
-    /* sample point on aperture */
-    float2 lensuv = camera_sample_aperture(&kernel_data.cam, lens_u, lens_v) * aperturesize;
-
-    /* compute point on plane of focus */
-    float3 Pfocus = D * kernel_data.cam.focaldistance;
-
-    /* update ray for effect of lens */
-    float3 lensuvw = make_float3(lensuv.x, lensuv.y, 0.0f);
-    P = Pcamera + lensuvw;
-    D = normalize(Pfocus - lensuvw);
-  }
-  else {
-    P = Pcamera;
-  }
-  /* transform ray from camera to world */
-  Transform cameratoworld = kernel_data.cam.cameratoworld;
-
-#ifdef __CAMERA_MOTION__
-  if (kernel_data.cam.num_motion_steps) {
-    transform_motion_array_interpolate(&cameratoworld,
-                                       kernel_tex_array(__camera_motion),
-                                       kernel_data.cam.num_motion_steps,
-                                       ray->time);
-  }
-#endif
-
-  ray->P = transform_point(&cameratoworld, P);
-  ray->D = normalize(transform_direction(&cameratoworld, D));
-
-#ifdef __RAY_DIFFERENTIALS__
-  /* ray differential */
-  differential3 dP;
-  dP.dx = float4_to_float3(kernel_data.cam.dx);
-  dP.dy = float4_to_float3(kernel_data.cam.dx);
-
-  ray->dP = differential_make_compact(dP);
-  ray->dD = differential_zero_compact();
-#endif
-
-#ifdef __CAMERA_CLIPPING__
-  /* clipping */
-  ray->t = kernel_data.cam.cliplength;
-#else
-  ray->t = FLT_MAX;
-#endif
-}
-
-/* Panorama Camera */
-
-ccl_device_inline void camera_sample_panorama(ccl_constant KernelCamera *cam,
-#ifdef __CAMERA_MOTION__
-                                              ccl_global const DecomposedTransform *cam_motion,
-#endif
-                                              float raster_x,
-                                              float raster_y,
-                                              float lens_u,
-                                              float lens_v,
-                                              ccl_private Ray *ray)
-{
-  ProjectionTransform rastertocamera = cam->rastertocamera;
-  float3 Pcamera = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
-
-  /* create ray form raster position */
-  float3 P = zero_float3();
-  float3 D = panorama_to_direction(cam, Pcamera.x, Pcamera.y);
-
-  /* indicates ray should not receive any light, outside of the lens */
-  if (is_zero(D)) {
-    ray->t = 0.0f;
-    return;
-  }
-
-  /* modify ray for depth of field */
-  float aperturesize = cam->aperturesize;
-
-  if (aperturesize > 0.0f) {
-    /* sample point on aperture */
-    float2 lensuv = camera_sample_aperture(cam, lens_u, lens_v) * aperturesize;
-
-    /* compute point on plane of focus */
-    float3 Dfocus = normalize(D);
-    float3 Pfocus = Dfocus * cam->focaldistance;
-
-    /* calculate orthonormal coordinates perpendicular to Dfocus */
-    float3 U, V;
-    U = normalize(make_float3(1.0f, 0.0f, 0.0f) - Dfocus.x * Dfocus);
-    V = normalize(cross(Dfocus, U));
-
-    /* update ray for effect of lens */
-    P = U * lensuv.x + V * lensuv.y;
-    D = normalize(Pfocus - P);
-  }
-
-  /* transform ray from camera to world */
-  Transform cameratoworld = cam->cameratoworld;
-
-#ifdef __CAMERA_MOTION__
-  if (cam->num_motion_steps) {
-    transform_motion_array_interpolate(
-        &cameratoworld, cam_motion, cam->num_motion_steps, ray->time);
-  }
-#endif
-
-  P = transform_point(&cameratoworld, P);
-  D = normalize(transform_direction(&cameratoworld, D));
-
-  /* Stereo transform */
-  bool use_stereo = cam->interocular_offset != 0.0f;
-  if (use_stereo) {
-    spherical_stereo_transform(cam, &P, &D);
-  }
-
-  ray->P = P;
-  ray->D = D;
-
-#ifdef __RAY_DIFFERENTIALS__
-  /* Ray differentials, computed from scratch using the raster coordinates
-   * because we don't want to be affected by depth of field. We compute
-   * ray origin and direction for the center and two neighboring pixels
-   * and simply take their differences. */
-  float3 Pcenter = Pcamera;
-  float3 Dcenter = panorama_to_direction(cam, Pcenter.x, Pcenter.y);
-  Pcenter = transform_point(&cameratoworld, Pcenter);
-  Dcenter = normalize(transform_direction(&cameratoworld, Dcenter));
-  if (use_stereo) {
-    spherical_stereo_transform(cam, &Pcenter, &Dcenter);
-  }
-
-  float3 Px = transform_perspective(&rastertocamera, make_float3(raster_x + 1.0f, raster_y, 0.0f));
-  float3 Dx = panorama_to_direction(cam, Px.x, Px.y);
-  Px = transform_point(&cameratoworld, Px);
-  Dx = normalize(transform_direction(&cameratoworld, Dx));
-  if (use_stereo) {
-    spherical_stereo_transform(cam, &Px, &Dx);
-  }
-
-  differential3 dP, dD;
-  dP.dx = Px - Pcenter;
-  dD.dx = Dx - Dcenter;
-
-  float3 Py = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y + 1.0f, 0.0f));
-  float3 Dy = panorama_to_direction(cam, Py.x, Py.y);
-  Py = transform_point(&cameratoworld, Py);
-  Dy = normalize(transform_direction(&cameratoworld, Dy));
-  if (use_stereo) {
-    spherical_stereo_transform(cam, &Py, &Dy);
-  }
-
-  dP.dy = Py - Pcenter;
-  dD.dy = Dy - Dcenter;
-  ray->dD = differential_make_compact(dD);
-  ray->dP = differential_make_compact(dP);
-#endif
-
-#ifdef __CAMERA_CLIPPING__
-  /* clipping */
-  float nearclip = cam->nearclip;
-  ray->P += nearclip * ray->D;
-  ray->dP += nearclip * ray->dD;
-  ray->t = cam->cliplength;
-#else
-  ray->t = FLT_MAX;
-#endif
-}
-
-/* Common */
-
-ccl_device_inline void camera_sample(KernelGlobals kg,
-                                     int x,
-                                     int y,
-                                     float filter_u,
-                                     float filter_v,
-                                     float lens_u,
-                                     float lens_v,
-                                     float time,
-                                     ccl_private Ray *ray)
-{
-  /* pixel filter */
-  int filter_table_offset = kernel_data.film.filter_table_offset;
-  float raster_x = x + lookup_table_read(kg, filter_u, filter_table_offset, FILTER_TABLE_SIZE);
-  float raster_y = y + lookup_table_read(kg, filter_v, filter_table_offset, FILTER_TABLE_SIZE);
-
-#ifdef __CAMERA_MOTION__
-  /* motion blur */
-  if (kernel_data.cam.shuttertime == -1.0f) {
-    ray->time = 0.5f;
-  }
-  else {
-    /* TODO(sergey): Such lookup is unneeded when there's rolling shutter
-     * effect in use but rolling shutter duration is set to 0.0.
-     */
-    const int shutter_table_offset = kernel_data.cam.shutter_table_offset;
-    ray->time = lookup_table_read(kg, time, shutter_table_offset, SHUTTER_TABLE_SIZE);
-    /* TODO(sergey): Currently single rolling shutter effect type only
-     * where scan-lines are acquired from top to bottom and whole scan-line
-     * is acquired at once (no delay in acquisition happens between pixels
-     * of single scan-line).
-     *
-     * Might want to support more models in the future.
-     */
-    if (kernel_data.cam.rolling_shutter_type) {
-      /* Time corresponding to a fully rolling shutter only effect:
-       * top of the frame is time 0.0, bottom of the frame is time 1.0.
-       */
-      const float time = 1.0f - (float)y / kernel_data.cam.height;
-      const float duration = kernel_data.cam.rolling_shutter_duration;
-      if (duration != 0.0f) {
-        /* This isn't fully physical correct, but lets us to have simple
-         * controls in the interface. The idea here is basically sort of
-         * linear interpolation between how much rolling shutter effect
-         * exist on the frame and how much of it is a motion blur effect.
-         */
-        ray->time = (ray->time - 0.5f) * duration;
-        ray->time += (time - 0.5f) * (1.0f - duration) + 0.5f;
-      }
-      else {
-        ray->time = time;
-      }
-    }
-  }
-#endif
-
-  /* sample */
-  if (kernel_data.cam.type == CAMERA_PERSPECTIVE) {
-    camera_sample_perspective(kg, raster_x, raster_y, lens_u, lens_v, ray);
-  }
-  else if (kernel_data.cam.type == CAMERA_ORTHOGRAPHIC) {
-    camera_sample_orthographic(kg, raster_x, raster_y, lens_u, lens_v, ray);
-  }
-  else {
-#ifdef __CAMERA_MOTION__
-    ccl_global const DecomposedTransform *cam_motion = kernel_tex_array(__camera_motion);
-    camera_sample_panorama(&kernel_data.cam, cam_motion, raster_x, raster_y, lens_u, lens_v, ray);
-#else
-    camera_sample_panorama(&kernel_data.cam, raster_x, raster_y, lens_u, lens_v, ray);
-#endif
-  }
-}
-
-/* Utilities */
-
-ccl_device_inline float3 camera_position(KernelGlobals kg)
-{
-  Transform cameratoworld = kernel_data.cam.cameratoworld;
-  return make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
-}
-
-ccl_device_inline float camera_distance(KernelGlobals kg, float3 P)
-{
-  Transform cameratoworld = kernel_data.cam.cameratoworld;
-  float3 camP = make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
-
-  if (kernel_data.cam.type == CAMERA_ORTHOGRAPHIC) {
-    float3 camD = make_float3(cameratoworld.x.z, cameratoworld.y.z, cameratoworld.z.z);
-    return fabsf(dot((P - camP), camD));
-  }
-  else {
-    return len(P - camP);
-  }
-}
-
-ccl_device_inline float camera_z_depth(KernelGlobals kg, float3 P)
-{
-  if (kernel_data.cam.type != CAMERA_PANORAMA) {
-    Transform worldtocamera = kernel_data.cam.worldtocamera;
-    return transform_point(&worldtocamera, P).z;
-  }
-  else {
-    Transform cameratoworld = kernel_data.cam.cameratoworld;
-    float3 camP = make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
-    return len(P - camP);
-  }
-}
-
-ccl_device_inline float3 camera_direction_from_point(KernelGlobals kg, float3 P)
-{
-  Transform cameratoworld = kernel_data.cam.cameratoworld;
-
-  if (kernel_data.cam.type == CAMERA_ORTHOGRAPHIC) {
-    float3 camD = make_float3(cameratoworld.x.z, cameratoworld.y.z, cameratoworld.z.z);
-    return -camD;
-  }
-  else {
-    float3 camP = make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w);
-    return normalize(camP - P);
-  }
-}
-
-ccl_device_inline float3 camera_world_to_ndc(KernelGlobals kg,
-                                             ccl_private ShaderData *sd,
-                                             float3 P)
-{
-  if (kernel_data.cam.type != CAMERA_PANORAMA) {
-    /* perspective / ortho */
-    if (sd->object == PRIM_NONE && kernel_data.cam.type == CAMERA_PERSPECTIVE)
-      P += camera_position(kg);
-
-    ProjectionTransform tfm = kernel_data.cam.worldtondc;
-    return transform_perspective(&tfm, P);
-  }
-  else {
-    /* panorama */
-    Transform tfm = kernel_data.cam.worldtocamera;
-
-    if (sd->object != OBJECT_NONE)
-      P = normalize(transform_point(&tfm, P));
-    else
-      P = normalize(transform_direction(&tfm, P));
-
-    float2 uv = direction_to_panorama(&kernel_data.cam, P);
-
-    return make_float3(uv.x, uv.y, 0.0f);
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_color.h b/intern/cycles/kernel/kernel_color.h
deleted file mode 100644
index 0d7bfecd5f3..00000000000
--- a/intern/cycles/kernel/kernel_color.h
+++ /dev/null
@@ -1,35 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "util/util_color.h"
-
-CCL_NAMESPACE_BEGIN
-
-ccl_device float3 xyz_to_rgb(KernelGlobals kg, float3 xyz)
-{
-  return make_float3(dot(float4_to_float3(kernel_data.film.xyz_to_r), xyz),
-                     dot(float4_to_float3(kernel_data.film.xyz_to_g), xyz),
-                     dot(float4_to_float3(kernel_data.film.xyz_to_b), xyz));
-}
-
-ccl_device float linear_rgb_to_gray(KernelGlobals kg, float3 c)
-{
-  return dot(c, float4_to_float3(kernel_data.film.rgb_to_y));
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_differential.h b/intern/cycles/kernel/kernel_differential.h
deleted file mode 100644
index 17187083019..00000000000
--- a/intern/cycles/kernel/kernel_differential.h
+++ /dev/null
@@ -1,166 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-CCL_NAMESPACE_BEGIN
-
-/* See "Tracing Ray Differentials", Homan Igehy, 1999. */
-
-ccl_device void differential_transfer(ccl_private differential3 *surface_dP,
-                                      const differential3 ray_dP,
-                                      float3 ray_D,
-                                      const differential3 ray_dD,
-                                      float3 surface_Ng,
-                                      float ray_t)
-{
-  /* ray differential transfer through homogeneous medium, to
-   * compute dPdx/dy at a shading point from the incoming ray */
-
-  float3 tmp = ray_D / dot(ray_D, surface_Ng);
-  float3 tmpx = ray_dP.dx + ray_t * ray_dD.dx;
-  float3 tmpy = ray_dP.dy + ray_t * ray_dD.dy;
-
-  surface_dP->dx = tmpx - dot(tmpx, surface_Ng) * tmp;
-  surface_dP->dy = tmpy - dot(tmpy, surface_Ng) * tmp;
-}
-
-ccl_device void differential_incoming(ccl_private differential3 *dI, const differential3 dD)
-{
-  /* compute dIdx/dy at a shading point, we just need to negate the
-   * differential of the ray direction */
-
-  dI->dx = -dD.dx;
-  dI->dy = -dD.dy;
-}
-
-ccl_device void differential_dudv(ccl_private differential *du,
-                                  ccl_private differential *dv,
-                                  float3 dPdu,
-                                  float3 dPdv,
-                                  differential3 dP,
-                                  float3 Ng)
-{
-  /* now we have dPdx/dy from the ray differential transfer, and dPdu/dv
-   * from the primitive, we can compute dudx/dy and dvdx/dy. these are
-   * mainly used for differentials of arbitrary mesh attributes. */
-
-  /* find most stable axis to project to 2D */
-  float xn = fabsf(Ng.x);
-  float yn = fabsf(Ng.y);
-  float zn = fabsf(Ng.z);
-
-  if (zn < xn || zn < yn) {
-    if (yn < xn || yn < zn) {
-      dPdu.x = dPdu.y;
-      dPdv.x = dPdv.y;
-      dP.dx.x = dP.dx.y;
-      dP.dy.x = dP.dy.y;
-    }
-
-    dPdu.y = dPdu.z;
-    dPdv.y = dPdv.z;
-    dP.dx.y = dP.dx.z;
-    dP.dy.y = dP.dy.z;
-  }
-
-  /* using Cramer's rule, we solve for dudx and dvdx in a 2x2 linear system,
-   * and the same for dudy and dvdy. the denominator is the same for both
-   * solutions, so we compute it only once.
-   *
-   * dP.dx = dPdu * dudx + dPdv * dvdx;
-   * dP.dy = dPdu * dudy + dPdv * dvdy; */
-
-  float det = (dPdu.x * dPdv.y - dPdv.x * dPdu.y);
-
-  if (det != 0.0f)
-    det = 1.0f / det;
-
-  du->dx = (dP.dx.x * dPdv.y - dP.dx.y * dPdv.x) * det;
-  dv->dx = (dP.dx.y * dPdu.x - dP.dx.x * dPdu.y) * det;
-
-  du->dy = (dP.dy.x * dPdv.y - dP.dy.y * dPdv.x) * det;
-  dv->dy = (dP.dy.y * dPdu.x - dP.dy.x * dPdu.y) * det;
-}
-
-ccl_device differential differential_zero()
-{
-  differential d;
-  d.dx = 0.0f;
-  d.dy = 0.0f;
-
-  return d;
-}
-
-ccl_device differential3 differential3_zero()
-{
-  differential3 d;
-  d.dx = zero_float3();
-  d.dy = zero_float3();
-
-  return d;
-}
-
-/* Compact ray differentials that are just a scale to reduce memory usage and
- * access cost in GPU.
- *
- * See above for more accurate reference implementations.
- *
- * TODO: also store the more compact version in ShaderData and recompute where
- * needed? */
-
-ccl_device_forceinline float differential_zero_compact()
-{
-  return 0.0f;
-}
-
-ccl_device_forceinline float differential_make_compact(const differential3 D)
-{
-  return 0.5f * (len(D.dx) + len(D.dy));
-}
-
-ccl_device_forceinline void differential_transfer_compact(ccl_private differential3 *surface_dP,
-                                                          const float ray_dP,
-                                                          const float3 /* ray_D */,
-                                                          const float ray_dD,
-                                                          const float3 surface_Ng,
-                                                          const float ray_t)
-{
-  /* ray differential transfer through homogeneous medium, to
-   * compute dPdx/dy at a shading point from the incoming ray */
-  float scale = ray_dP + ray_t * ray_dD;
-
-  float3 dx, dy;
-  make_orthonormals(surface_Ng, &dx, &dy);
-  surface_dP->dx = dx * scale;
-  surface_dP->dy = dy * scale;
-}
-
-ccl_device_forceinline void differential_incoming_compact(ccl_private differential3 *dI,
-                                                          const float3 D,
-                                                          const float dD)
-{
-  /* compute dIdx/dy at a shading point, we just need to negate the
-   * differential of the ray direction */
-
-  float3 dx, dy;
-  make_orthonormals(D, &dx, &dy);
-
-  dI->dx = dD * dx;
-  dI->dy = dD * dy;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_emission.h b/intern/cycles/kernel/kernel_emission.h
deleted file mode 100644
index 8d329b8dac3..00000000000
--- a/intern/cycles/kernel/kernel_emission.h
+++ /dev/null
@@ -1,269 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel/kernel_light.h"
-#include "kernel/kernel_montecarlo.h"
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_shader.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Evaluate shader on light. */
-ccl_device_noinline_cpu float3
-light_sample_shader_eval(KernelGlobals kg,
-                         IntegratorState state,
-                         ccl_private ShaderData *ccl_restrict emission_sd,
-                         ccl_private LightSample *ccl_restrict ls,
-                         float time)
-{
-  /* setup shading at emitter */
-  float3 eval = zero_float3();
-
-  if (shader_constant_emission_eval(kg, ls->shader, &eval)) {
-    if ((ls->prim != PRIM_NONE) && dot(ls->Ng, ls->D) > 0.0f) {
-      ls->Ng = -ls->Ng;
-    }
-  }
-  else {
-    /* Setup shader data and call shader_eval_surface once, better
-     * for GPU coherence and compile times. */
-    PROFILING_INIT_FOR_SHADER(kg, PROFILING_SHADE_LIGHT_SETUP);
-#ifdef __BACKGROUND_MIS__
-    if (ls->type == LIGHT_BACKGROUND) {
-      shader_setup_from_background(kg, emission_sd, ls->P, ls->D, time);
-    }
-    else
-#endif
-    {
-      shader_setup_from_sample(kg,
-                               emission_sd,
-                               ls->P,
-                               ls->Ng,
-                               -ls->D,
-                               ls->shader,
-                               ls->object,
-                               ls->prim,
-                               ls->u,
-                               ls->v,
-                               ls->t,
-                               time,
-                               false,
-                               ls->lamp);
-
-      ls->Ng = emission_sd->Ng;
-    }
-
-    PROFILING_SHADER(emission_sd->object, emission_sd->shader);
-    PROFILING_EVENT(PROFILING_SHADE_LIGHT_EVAL);
-
-    /* No proper path flag, we're evaluating this for all closures. that's
-     * weak but we'd have to do multiple evaluations otherwise. */
-    shader_eval_surface<KERNEL_FEATURE_NODE_MASK_SURFACE_LIGHT>(
-        kg, state, emission_sd, NULL, PATH_RAY_EMISSION);
-
-    /* Evaluate closures. */
-#ifdef __BACKGROUND_MIS__
-    if (ls->type == LIGHT_BACKGROUND) {
-      eval = shader_background_eval(emission_sd);
-    }
-    else
-#endif
-    {
-      eval = shader_emissive_eval(emission_sd);
-    }
-  }
-
-  eval *= ls->eval_fac;
-
-  if (ls->lamp != LAMP_NONE) {
-    ccl_global const KernelLight *klight = &kernel_tex_fetch(__lights, ls->lamp);
-    eval *= make_float3(klight->strength[0], klight->strength[1], klight->strength[2]);
-  }
-
-  return eval;
-}
-
-/* Test if light sample is from a light or emission from geometry. */
-ccl_device_inline bool light_sample_is_light(ccl_private const LightSample *ccl_restrict ls)
-{
-  /* return if it's a lamp for shadow pass */
-  return (ls->prim == PRIM_NONE && ls->type != LIGHT_BACKGROUND);
-}
-
-/* Early path termination of shadow rays. */
-ccl_device_inline bool light_sample_terminate(KernelGlobals kg,
-                                              ccl_private const LightSample *ccl_restrict ls,
-                                              ccl_private BsdfEval *ccl_restrict eval,
-                                              const float rand_terminate)
-{
-  if (bsdf_eval_is_zero(eval)) {
-    return true;
-  }
-
-  if (kernel_data.integrator.light_inv_rr_threshold > 0.0f) {
-    float probability = max3(fabs(bsdf_eval_sum(eval))) *
-                        kernel_data.integrator.light_inv_rr_threshold;
-    if (probability < 1.0f) {
-      if (rand_terminate >= probability) {
-        return true;
-      }
-      bsdf_eval_mul(eval, 1.0f / probability);
-    }
-  }
-
-  return false;
-}
-
-/* This function should be used to compute a modified ray start position for
- * rays leaving from a surface. The algorithm slightly distorts flat surface
- * of a triangle. Surface is lifted by amount h along normal n in the incident
- * point. */
-
-ccl_device_inline float3 shadow_ray_smooth_surface_offset(
-    KernelGlobals kg, ccl_private const ShaderData *ccl_restrict sd, float3 Ng)
-{
-  float3 V[3], N[3];
-  triangle_vertices_and_normals(kg, sd->prim, V, N);
-
-  const float u = sd->u, v = sd->v;
-  const float w = 1 - u - v;
-  float3 P = V[0] * u + V[1] * v + V[2] * w; /* Local space */
-  float3 n = N[0] * u + N[1] * v + N[2] * w; /* We get away without normalization */
-
-  object_normal_transform(kg, sd, &n); /* Normal x scale, world space */
-
-  /* Parabolic approximation */
-  float a = dot(N[2] - N[0], V[0] - V[2]);
-  float b = dot(N[2] - N[1], V[1] - V[2]);
-  float c = dot(N[1] - N[0], V[1] - V[0]);
-  float h = a * u * (u - 1) + (a + b + c) * u * v + b * v * (v - 1);
-
-  /* Check flipped normals */
-  if (dot(n, Ng) > 0) {
-    /* Local linear envelope */
-    float h0 = max(max(dot(V[1] - V[0], N[0]), dot(V[2] - V[0], N[0])), 0.0f);
-    float h1 = max(max(dot(V[0] - V[1], N[1]), dot(V[2] - V[1], N[1])), 0.0f);
-    float h2 = max(max(dot(V[0] - V[2], N[2]), dot(V[1] - V[2], N[2])), 0.0f);
-    h0 = max(dot(V[0] - P, N[0]) + h0, 0.0f);
-    h1 = max(dot(V[1] - P, N[1]) + h1, 0.0f);
-    h2 = max(dot(V[2] - P, N[2]) + h2, 0.0f);
-    h = max(min(min(h0, h1), h2), h * 0.5f);
-  }
-  else {
-    float h0 = max(max(dot(V[0] - V[1], N[0]), dot(V[0] - V[2], N[0])), 0.0f);
-    float h1 = max(max(dot(V[1] - V[0], N[1]), dot(V[1] - V[2], N[1])), 0.0f);
-    float h2 = max(max(dot(V[2] - V[0], N[2]), dot(V[2] - V[1], N[2])), 0.0f);
-    h0 = max(dot(P - V[0], N[0]) + h0, 0.0f);
-    h1 = max(dot(P - V[1], N[1]) + h1, 0.0f);
-    h2 = max(dot(P - V[2], N[2]) + h2, 0.0f);
-    h = min(-min(min(h0, h1), h2), h * 0.5f);
-  }
-
-  return n * h;
-}
-
-/* Ray offset to avoid shadow terminator artifact. */
-
-ccl_device_inline float3 shadow_ray_offset(KernelGlobals kg,
-                                           ccl_private const ShaderData *ccl_restrict sd,
-                                           float3 L)
-{
-  float NL = dot(sd->N, L);
-  bool transmit = (NL < 0.0f);
-  float3 Ng = (transmit ? -sd->Ng : sd->Ng);
-  float3 P = ray_offset(sd->P, Ng);
-
-  if ((sd->type & PRIMITIVE_ALL_TRIANGLE) && (sd->shader & SHADER_SMOOTH_NORMAL)) {
-    const float offset_cutoff =
-        kernel_tex_fetch(__objects, sd->object).shadow_terminator_geometry_offset;
-    /* Do ray offset (heavy stuff) only for close to be terminated triangles:
-     * offset_cutoff = 0.1f means that 10-20% of rays will be affected. Also
-     * make a smooth transition near the threshold. */
-    if (offset_cutoff > 0.0f) {
-      float NgL = dot(Ng, L);
-      float offset_amount = 0.0f;
-      if (NL < offset_cutoff) {
-        offset_amount = clamp(2.0f - (NgL + NL) / offset_cutoff, 0.0f, 1.0f);
-      }
-      else {
-        offset_amount = clamp(1.0f - NgL / offset_cutoff, 0.0f, 1.0f);
-      }
-      if (offset_amount > 0.0f) {
-        P += shadow_ray_smooth_surface_offset(kg, sd, Ng) * offset_amount;
-      }
-    }
-  }
-
-  return P;
-}
-
-ccl_device_inline void shadow_ray_setup(ccl_private const ShaderData *ccl_restrict sd,
-                                        ccl_private const LightSample *ccl_restrict ls,
-                                        const float3 P,
-                                        ccl_private Ray *ray)
-{
-  if (ls->shader & SHADER_CAST_SHADOW) {
-    /* setup ray */
-    ray->P = P;
-
-    if (ls->t == FLT_MAX) {
-      /* distant light */
-      ray->D = ls->D;
-      ray->t = ls->t;
-    }
-    else {
-      /* other lights, avoid self-intersection */
-      ray->D = ray_offset(ls->P, ls->Ng) - P;
-      ray->D = normalize_len(ray->D, &ray->t);
-    }
-  }
-  else {
-    /* signal to not cast shadow ray */
-    ray->P = zero_float3();
-    ray->D = zero_float3();
-    ray->t = 0.0f;
-  }
-
-  ray->dP = differential_make_compact(sd->dP);
-  ray->dD = differential_zero_compact();
-  ray->time = sd->time;
-}
-
-/* Create shadow ray towards light sample. */
-ccl_device_inline void light_sample_to_surface_shadow_ray(
-    KernelGlobals kg,
-    ccl_private const ShaderData *ccl_restrict sd,
-    ccl_private const LightSample *ccl_restrict ls,
-    ccl_private Ray *ray)
-{
-  const float3 P = shadow_ray_offset(kg, sd, ls->D);
-  shadow_ray_setup(sd, ls, P, ray);
-}
-
-/* Create shadow ray towards light sample. */
-ccl_device_inline void light_sample_to_volume_shadow_ray(
-    KernelGlobals kg,
-    ccl_private const ShaderData *ccl_restrict sd,
-    ccl_private const LightSample *ccl_restrict ls,
-    const float3 P,
-    ccl_private Ray *ray)
-{
-  shadow_ray_setup(sd, ls, P, ray);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_film.h b/intern/cycles/kernel/kernel_film.h
deleted file mode 100644
index a87eff3832e..00000000000
--- a/intern/cycles/kernel/kernel_film.h
+++ /dev/null
@@ -1,532 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-CCL_NAMESPACE_BEGIN
-
-/* --------------------------------------------------------------------
- * Common utilities.
- */
-
-/* The input buffer contains transparency = 1 - alpha, this converts it to
- * alpha. Also clamp since alpha might end up outside of 0..1 due to Russian
- * roulette. */
-ccl_device_forceinline float film_transparency_to_alpha(float transparency)
-{
-  return saturate(1.0f - transparency);
-}
-
-ccl_device_inline float film_get_scale(ccl_global const KernelFilmConvert *ccl_restrict
-                                           kfilm_convert,
-                                       ccl_global const float *ccl_restrict buffer)
-{
-  if (kfilm_convert->pass_sample_count == PASS_UNUSED) {
-    return kfilm_convert->scale;
-  }
-
-  if (kfilm_convert->pass_use_filter) {
-    const uint sample_count = *(
-        (ccl_global const uint *)(buffer + kfilm_convert->pass_sample_count));
-    return 1.0f / sample_count;
-  }
-
-  return 1.0f;
-}
-
-ccl_device_inline float film_get_scale_exposure(ccl_global const KernelFilmConvert *ccl_restrict
-                                                    kfilm_convert,
-                                                ccl_global const float *ccl_restrict buffer)
-{
-  if (kfilm_convert->pass_sample_count == PASS_UNUSED) {
-    return kfilm_convert->scale_exposure;
-  }
-
-  const float scale = film_get_scale(kfilm_convert, buffer);
-
-  if (kfilm_convert->pass_use_exposure) {
-    return scale * kfilm_convert->exposure;
-  }
-
-  return scale;
-}
-
-ccl_device_inline bool film_get_scale_and_scale_exposure(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict scale,
-    ccl_private float *ccl_restrict scale_exposure)
-{
-  if (kfilm_convert->pass_sample_count == PASS_UNUSED) {
-    *scale = kfilm_convert->scale;
-    *scale_exposure = kfilm_convert->scale_exposure;
-    return true;
-  }
-
-  const uint sample_count = *(
-      (ccl_global const uint *)(buffer + kfilm_convert->pass_sample_count));
-  if (!sample_count) {
-    *scale = 0.0f;
-    *scale_exposure = 0.0f;
-    return false;
-  }
-
-  if (kfilm_convert->pass_use_filter) {
-    *scale = 1.0f / sample_count;
-  }
-  else {
-    *scale = 1.0f;
-  }
-
-  if (kfilm_convert->pass_use_exposure) {
-    *scale_exposure = *scale * kfilm_convert->exposure;
-  }
-  else {
-    *scale_exposure = *scale;
-  }
-
-  return true;
-}
-
-/* --------------------------------------------------------------------
- * Float (scalar) passes.
- */
-
-ccl_device_inline void film_get_pass_pixel_depth(ccl_global const KernelFilmConvert *ccl_restrict
-                                                     kfilm_convert,
-                                                 ccl_global const float *ccl_restrict buffer,
-                                                 ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components >= 1);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-  const float f = *in;
-
-  pixel[0] = (f == 0.0f) ? 1e10f : f * scale_exposure;
-}
-
-ccl_device_inline void film_get_pass_pixel_mist(ccl_global const KernelFilmConvert *ccl_restrict
-                                                    kfilm_convert,
-                                                ccl_global const float *ccl_restrict buffer,
-                                                ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components >= 1);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-  const float f = *in;
-
-  /* Note that we accumulate 1 - mist in the kernel to avoid having to
-   * track the mist values in the integrator state. */
-  pixel[0] = saturate(1.0f - f * scale_exposure);
-}
-
-ccl_device_inline void film_get_pass_pixel_sample_count(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict pixel)
-{
-  /* TODO(sergey): Consider normalizing into the [0..1] range, so that it is possible to see
-   * meaningful value when adaptive sampler stopped rendering image way before the maximum
-   * number of samples was reached (for examples when number of samples is set to 0 in
-   * viewport). */
-
-  kernel_assert(kfilm_convert->num_components >= 1);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-  const float f = *in;
-
-  pixel[0] = __float_as_uint(f) * kfilm_convert->scale;
-}
-
-ccl_device_inline void film_get_pass_pixel_float(ccl_global const KernelFilmConvert *ccl_restrict
-                                                     kfilm_convert,
-                                                 ccl_global const float *ccl_restrict buffer,
-                                                 ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components >= 1);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-  const float f = *in;
-
-  pixel[0] = f * scale_exposure;
-}
-
-/* --------------------------------------------------------------------
- * Float 3 passes.
- */
-
-ccl_device_inline void film_get_pass_pixel_light_path(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components >= 3);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  /* Read light pass. */
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-  float3 f = make_float3(in[0], in[1], in[2]);
-
-  /* Optionally add indirect light pass. */
-  if (kfilm_convert->pass_indirect != PASS_UNUSED) {
-    ccl_global const float *in_indirect = buffer + kfilm_convert->pass_indirect;
-    const float3 f_indirect = make_float3(in_indirect[0], in_indirect[1], in_indirect[2]);
-    f += f_indirect;
-  }
-
-  /* Optionally divide out color. */
-  if (kfilm_convert->pass_divide != PASS_UNUSED) {
-    ccl_global const float *in_divide = buffer + kfilm_convert->pass_divide;
-    const float3 f_divide = make_float3(in_divide[0], in_divide[1], in_divide[2]);
-    f = safe_divide_even_color(f, f_divide);
-
-    /* Exposure only, sample scale cancels out. */
-    f *= kfilm_convert->exposure;
-  }
-  else {
-    /* Sample scale and exposure. */
-    f *= film_get_scale_exposure(kfilm_convert, buffer);
-  }
-
-  pixel[0] = f.x;
-  pixel[1] = f.y;
-  pixel[2] = f.z;
-}
-
-ccl_device_inline void film_get_pass_pixel_float3(ccl_global const KernelFilmConvert *ccl_restrict
-                                                      kfilm_convert,
-                                                  ccl_global const float *ccl_restrict buffer,
-                                                  ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components >= 3);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  const float scale_exposure = film_get_scale_exposure(kfilm_convert, buffer);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-
-  const float3 f = make_float3(in[0], in[1], in[2]) * scale_exposure;
-
-  pixel[0] = f.x;
-  pixel[1] = f.y;
-  pixel[2] = f.z;
-}
-
-/* --------------------------------------------------------------------
- * Float4 passes.
- */
-
-ccl_device_inline void film_get_pass_pixel_motion(ccl_global const KernelFilmConvert *ccl_restrict
-                                                      kfilm_convert,
-                                                  ccl_global const float *ccl_restrict buffer,
-                                                  ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components == 4);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-  kernel_assert(kfilm_convert->pass_motion_weight != PASS_UNUSED);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-  ccl_global const float *in_weight = buffer + kfilm_convert->pass_motion_weight;
-
-  const float weight = in_weight[0];
-  const float weight_inv = (weight > 0.0f) ? 1.0f / weight : 0.0f;
-
-  const float4 motion = make_float4(in[0], in[1], in[2], in[3]) * weight_inv;
-
-  pixel[0] = motion.x;
-  pixel[1] = motion.y;
-  pixel[2] = motion.z;
-  pixel[3] = motion.w;
-}
-
-ccl_device_inline void film_get_pass_pixel_cryptomatte(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components == 4);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  const float scale = film_get_scale(kfilm_convert, buffer);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-
-  const float4 f = make_float4(in[0], in[1], in[2], in[3]);
-
-  /* x and z contain integer IDs, don't rescale them.
-   * y and w contain matte weights, they get scaled. */
-  pixel[0] = f.x;
-  pixel[1] = f.y * scale;
-  pixel[2] = f.z;
-  pixel[3] = f.w * scale;
-}
-
-ccl_device_inline void film_get_pass_pixel_float4(ccl_global const KernelFilmConvert *ccl_restrict
-                                                      kfilm_convert,
-                                                  ccl_global const float *ccl_restrict buffer,
-                                                  ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components == 4);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  float scale, scale_exposure;
-  film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure);
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-
-  const float3 color = make_float3(in[0], in[1], in[2]) * scale_exposure;
-  const float alpha = in[3] * scale;
-
-  pixel[0] = color.x;
-  pixel[1] = color.y;
-  pixel[2] = color.z;
-  pixel[3] = alpha;
-}
-
-ccl_device_inline void film_get_pass_pixel_combined(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components == 4);
-
-  /* 3rd channel contains transparency = 1 - alpha for the combined pass. */
-
-  kernel_assert(kfilm_convert->num_components == 4);
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-
-  float scale, scale_exposure;
-  if (!film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure)) {
-    pixel[0] = 0.0f;
-    pixel[1] = 0.0f;
-    pixel[2] = 0.0f;
-    pixel[3] = 0.0f;
-    return;
-  }
-
-  ccl_global const float *in = buffer + kfilm_convert->pass_offset;
-
-  const float3 color = make_float3(in[0], in[1], in[2]) * scale_exposure;
-  const float alpha = in[3] * scale;
-
-  pixel[0] = color.x;
-  pixel[1] = color.y;
-  pixel[2] = color.z;
-  pixel[3] = film_transparency_to_alpha(alpha);
-}
-
-/* --------------------------------------------------------------------
- * Shadow catcher.
- */
-
-ccl_device_inline float3 film_calculate_shadow_catcher_denoised(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer)
-{
-  kernel_assert(kfilm_convert->pass_shadow_catcher != PASS_UNUSED);
-
-  float scale, scale_exposure;
-  film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure);
-
-  ccl_global const float *in_catcher = buffer + kfilm_convert->pass_shadow_catcher;
-
-  const float3 pixel = make_float3(in_catcher[0], in_catcher[1], in_catcher[2]) * scale_exposure;
-
-  return pixel;
-}
-
-ccl_device_inline float3 safe_divide_shadow_catcher(float3 a, float3 b)
-{
-  float x, y, z;
-
-  x = (b.x != 0.0f) ? a.x / b.x : 1.0f;
-  y = (b.y != 0.0f) ? a.y / b.y : 1.0f;
-  z = (b.z != 0.0f) ? a.z / b.z : 1.0f;
-
-  return make_float3(x, y, z);
-}
-
-ccl_device_inline float3
-film_calculate_shadow_catcher(ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-                              ccl_global const float *ccl_restrict buffer)
-{
-  /* For the shadow catcher pass we divide combined pass by the shadow catcher.
-   * Note that denoised shadow catcher pass contains value which only needs ot be scaled (but not
-   * to be calculated as division). */
-
-  if (kfilm_convert->is_denoised) {
-    return film_calculate_shadow_catcher_denoised(kfilm_convert, buffer);
-  }
-
-  kernel_assert(kfilm_convert->pass_shadow_catcher_sample_count != PASS_UNUSED);
-
-  /* If there is no shadow catcher object in this pixel, there is no modification of the light
-   * needed, so return one. */
-  ccl_global const float *in_catcher_sample_count =
-      buffer + kfilm_convert->pass_shadow_catcher_sample_count;
-  const float num_samples = in_catcher_sample_count[0];
-  if (num_samples == 0.0f) {
-    return one_float3();
-  }
-
-  kernel_assert(kfilm_convert->pass_shadow_catcher != PASS_UNUSED);
-  ccl_global const float *in_catcher = buffer + kfilm_convert->pass_shadow_catcher;
-
-  /* NOTE: It is possible that the Shadow Catcher pass is requested as an output without actual
-   * shadow catcher objects in the scene. In this case there will be no auxiliary passes required
-   * for the decision (to save up memory). So delay the asserts to this point so that the number of
-   * samples check handles such configuration. */
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-  kernel_assert(kfilm_convert->pass_combined != PASS_UNUSED);
-  kernel_assert(kfilm_convert->pass_shadow_catcher_matte != PASS_UNUSED);
-
-  ccl_global const float *in_combined = buffer + kfilm_convert->pass_combined;
-  ccl_global const float *in_matte = buffer + kfilm_convert->pass_shadow_catcher_matte;
-
-  /* No scaling needed. The integration works in way that number of samples in the combined and
-   * shadow catcher passes are the same, and exposure is canceled during the division. */
-  const float3 color_catcher = make_float3(in_catcher[0], in_catcher[1], in_catcher[2]);
-  const float3 color_combined = make_float3(in_combined[0], in_combined[1], in_combined[2]);
-  const float3 color_matte = make_float3(in_matte[0], in_matte[1], in_matte[2]);
-
-  /* Need to ignore contribution of the matte object when doing division (otherwise there will be
-   * artifacts caused by anti-aliasing). Since combined pass is used for adaptive sampling and need
-   * to contain matte objects, we subtract matte objects contribution here. This is the same as if
-   * the matte objects were not accumulated to the combined pass. */
-  const float3 combined_no_matte = color_combined - color_matte;
-
-  const float3 shadow_catcher = safe_divide_shadow_catcher(combined_no_matte, color_catcher);
-
-  const float scale = film_get_scale(kfilm_convert, buffer);
-  const float transparency = in_combined[3] * scale;
-  const float alpha = film_transparency_to_alpha(transparency);
-
-  /* Alpha-over on white using transparency of the combined pass. This allows to eliminate
-   * artifacts which are happening on an edge of a shadow catcher when using transparent film.
-   * Note that we treat shadow catcher as straight alpha here because alpha got canceled out
-   * during the division. */
-  const float3 pixel = (1.0f - alpha) * one_float3() + alpha * shadow_catcher;
-
-  return pixel;
-}
-
-ccl_device_inline float4 film_calculate_shadow_catcher_matte_with_shadow(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer)
-{
-  /* The approximation of the shadow is 1 - average(shadow_catcher_pass). A better approximation
-   * is possible.
-   *
-   * The matte is alpha-overed onto the shadow (which is kind of alpha-overing shadow onto footage,
-   * and then alpha-overing synthetic objects on top). */
-
-  kernel_assert(kfilm_convert->pass_offset != PASS_UNUSED);
-  kernel_assert(kfilm_convert->pass_shadow_catcher != PASS_UNUSED);
-  kernel_assert(kfilm_convert->pass_shadow_catcher_matte != PASS_UNUSED);
-
-  float scale, scale_exposure;
-  if (!film_get_scale_and_scale_exposure(kfilm_convert, buffer, &scale, &scale_exposure)) {
-    return make_float4(0.0f, 0.0f, 0.0f, 0.0f);
-  }
-
-  ccl_global const float *in_matte = buffer + kfilm_convert->pass_shadow_catcher_matte;
-
-  const float3 shadow_catcher = film_calculate_shadow_catcher(kfilm_convert, buffer);
-  const float3 color_matte = make_float3(in_matte[0], in_matte[1], in_matte[2]) * scale_exposure;
-
-  const float transparency = in_matte[3] * scale;
-  const float alpha = saturate(1.0f - transparency);
-
-  const float alpha_matte = (1.0f - alpha) * (1.0f - average(shadow_catcher)) + alpha;
-
-  if (kfilm_convert->use_approximate_shadow_catcher_background) {
-    kernel_assert(kfilm_convert->pass_background != PASS_UNUSED);
-
-    ccl_global const float *in_background = buffer + kfilm_convert->pass_background;
-    const float3 color_background = make_float3(
-                                        in_background[0], in_background[1], in_background[2]) *
-                                    scale_exposure;
-    const float3 alpha_over = color_matte + color_background * (1.0f - alpha_matte);
-    return make_float4(alpha_over.x, alpha_over.y, alpha_over.z, 1.0f);
-  }
-
-  return make_float4(color_matte.x, color_matte.y, color_matte.z, alpha_matte);
-}
-
-ccl_device_inline void film_get_pass_pixel_shadow_catcher(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components >= 3);
-
-  const float3 pixel_value = film_calculate_shadow_catcher(kfilm_convert, buffer);
-
-  pixel[0] = pixel_value.x;
-  pixel[1] = pixel_value.y;
-  pixel[2] = pixel_value.z;
-}
-
-ccl_device_inline void film_get_pass_pixel_shadow_catcher_matte_with_shadow(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict pixel)
-{
-  kernel_assert(kfilm_convert->num_components == 3 || kfilm_convert->num_components == 4);
-
-  const float4 pixel_value = film_calculate_shadow_catcher_matte_with_shadow(kfilm_convert,
-                                                                             buffer);
-
-  pixel[0] = pixel_value.x;
-  pixel[1] = pixel_value.y;
-  pixel[2] = pixel_value.z;
-  if (kfilm_convert->num_components == 4) {
-    pixel[3] = pixel_value.w;
-  }
-}
-
-/* --------------------------------------------------------------------
- * Compositing and overlays.
- */
-
-ccl_device_inline void film_apply_pass_pixel_overlays_rgba(
-    ccl_global const KernelFilmConvert *ccl_restrict kfilm_convert,
-    ccl_global const float *ccl_restrict buffer,
-    ccl_private float *ccl_restrict pixel)
-{
-  if (kfilm_convert->show_active_pixels &&
-      kfilm_convert->pass_adaptive_aux_buffer != PASS_UNUSED) {
-    if (buffer[kfilm_convert->pass_adaptive_aux_buffer + 3] == 0.0f) {
-      const float3 active_rgb = make_float3(1.0f, 0.0f, 0.0f);
-      const float3 mix_rgb = interp(make_float3(pixel[0], pixel[1], pixel[2]), active_rgb, 0.5f);
-      pixel[0] = mix_rgb.x;
-      pixel[1] = mix_rgb.y;
-      pixel[2] = mix_rgb.z;
-    }
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_id_passes.h b/intern/cycles/kernel/kernel_id_passes.h
deleted file mode 100644
index d5b8c90a828..00000000000
--- a/intern/cycles/kernel/kernel_id_passes.h
+++ /dev/null
@@ -1,106 +0,0 @@
-/*
- * Copyright 2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-CCL_NAMESPACE_BEGIN
-
-/* Element of ID pass stored in the render buffers.
- * It is `float2` semantically, but it must be unaligned since the offset of ID passes in the
- * render buffers might not meet expected by compiler alignment. */
-typedef struct IDPassBufferElement {
-  float x;
-  float y;
-} IDPassBufferElement;
-
-ccl_device_inline void kernel_write_id_slots(ccl_global float *buffer,
-                                             int num_slots,
-                                             float id,
-                                             float weight)
-{
-  kernel_assert(id != ID_NONE);
-  if (weight == 0.0f) {
-    return;
-  }
-
-  for (int slot = 0; slot < num_slots; slot++) {
-    ccl_global IDPassBufferElement *id_buffer = (ccl_global IDPassBufferElement *)buffer;
-#ifdef __ATOMIC_PASS_WRITE__
-    /* If the loop reaches an empty slot, the ID isn't in any slot yet - so add it! */
-    if (id_buffer[slot].x == ID_NONE) {
-      /* Use an atomic to claim this slot.
-       * If a different thread got here first, try again from this slot on. */
-      float old_id = atomic_compare_and_swap_float(buffer + slot * 2, ID_NONE, id);
-      if (old_id != ID_NONE && old_id != id) {
-        continue;
-      }
-      atomic_add_and_fetch_float(buffer + slot * 2 + 1, weight);
-      break;
-    }
-    /* If there already is a slot for that ID, add the weight.
-     * If no slot was found, add it to the last. */
-    else if (id_buffer[slot].x == id || slot == num_slots - 1) {
-      atomic_add_and_fetch_float(buffer + slot * 2 + 1, weight);
-      break;
-    }
-#else  /* __ATOMIC_PASS_WRITE__ */
-    /* If the loop reaches an empty slot, the ID isn't in any slot yet - so add it! */
-    if (id_buffer[slot].x == ID_NONE) {
-      id_buffer[slot].x = id;
-      id_buffer[slot].y = weight;
-      break;
-    }
-    /* If there already is a slot for that ID, add the weight.
-     * If no slot was found, add it to the last. */
-    else if (id_buffer[slot].x == id || slot == num_slots - 1) {
-      id_buffer[slot].y += weight;
-      break;
-    }
-#endif /* __ATOMIC_PASS_WRITE__ */
-  }
-}
-
-ccl_device_inline void kernel_sort_id_slots(ccl_global float *buffer, int num_slots)
-{
-  ccl_global IDPassBufferElement *id_buffer = (ccl_global IDPassBufferElement *)buffer;
-  for (int slot = 1; slot < num_slots; ++slot) {
-    if (id_buffer[slot].x == ID_NONE) {
-      return;
-    }
-    /* Since we're dealing with a tiny number of elements, insertion sort should be fine. */
-    int i = slot;
-    while (i > 0 && id_buffer[i].y > id_buffer[i - 1].y) {
-      const IDPassBufferElement swap = id_buffer[i];
-      id_buffer[i] = id_buffer[i - 1];
-      id_buffer[i - 1] = swap;
-      --i;
-    }
-  }
-}
-
-/* post-sorting for Cryptomatte */
-ccl_device_inline void kernel_cryptomatte_post(KernelGlobals kg,
-                                               ccl_global float *render_buffer,
-                                               int pixel_index)
-{
-  const int pass_stride = kernel_data.film.pass_stride;
-  const uint64_t render_buffer_offset = (uint64_t)pixel_index * pass_stride;
-  ccl_global float *cryptomatte_buffer = render_buffer + render_buffer_offset +
-                                         kernel_data.film.pass_cryptomatte;
-  kernel_sort_id_slots(cryptomatte_buffer, 2 * kernel_data.film.cryptomatte_depth);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_jitter.h b/intern/cycles/kernel/kernel_jitter.h
deleted file mode 100644
index b62ec7fda42..00000000000
--- a/intern/cycles/kernel/kernel_jitter.h
+++ /dev/null
@@ -1,169 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-CCL_NAMESPACE_BEGIN
-
-ccl_device_inline uint32_t laine_karras_permutation(uint32_t x, uint32_t seed)
-{
-  x += seed;
-  x ^= (x * 0x6c50b47cu);
-  x ^= x * 0xb82f1e52u;
-  x ^= x * 0xc7afe638u;
-  x ^= x * 0x8d22f6e6u;
-
-  return x;
-}
-
-ccl_device_inline uint32_t nested_uniform_scramble(uint32_t x, uint32_t seed)
-{
-  x = reverse_integer_bits(x);
-  x = laine_karras_permutation(x, seed);
-  x = reverse_integer_bits(x);
-
-  return x;
-}
-
-ccl_device_inline uint cmj_hash(uint i, uint p)
-{
-  i ^= p;
-  i ^= i >> 17;
-  i ^= i >> 10;
-  i *= 0xb36534e5;
-  i ^= i >> 12;
-  i ^= i >> 21;
-  i *= 0x93fc4795;
-  i ^= 0xdf6e307f;
-  i ^= i >> 17;
-  i *= 1 | p >> 18;
-
-  return i;
-}
-
-ccl_device_inline uint cmj_hash_simple(uint i, uint p)
-{
-  i = (i ^ 61) ^ p;
-  i += i << 3;
-  i ^= i >> 4;
-  i *= 0x27d4eb2d;
-  return i;
-}
-
-ccl_device_inline float cmj_randfloat(uint i, uint p)
-{
-  return cmj_hash(i, p) * (1.0f / 4294967808.0f);
-}
-
-ccl_device_inline float cmj_randfloat_simple(uint i, uint p)
-{
-  return cmj_hash_simple(i, p) * (1.0f / (float)0xFFFFFFFF);
-}
-
-ccl_device float pmj_sample_1D(KernelGlobals kg, uint sample, uint rng_hash, uint dimension)
-{
-  /* Perform Owen shuffle of the sample number to reorder the samples. */
-#ifdef _SIMPLE_HASH_
-  const uint rv = cmj_hash_simple(dimension, rng_hash);
-#else /* Use a _REGULAR_HASH_. */
-  const uint rv = cmj_hash(dimension, rng_hash);
-#endif
-#ifdef _XOR_SHUFFLE_
-#  warning "Using XOR shuffle."
-  const uint s = sample ^ rv;
-#else /* Use _OWEN_SHUFFLE_ for reordering. */
-  const uint s = nested_uniform_scramble(sample, rv);
-#endif
-
-  /* Based on the sample number a sample pattern is selected and offset by the dimension. */
-  const uint sample_set = s / NUM_PMJ_SAMPLES;
-  const uint d = (dimension + sample_set);
-  const uint dim = d % NUM_PMJ_PATTERNS;
-
-  /* The PMJ sample sets contain a sample with (x,y) with NUM_PMJ_SAMPLES so for 1D
-   *  the x part is used for even dims and the y for odd. */
-  int index = 2 * ((dim >> 1) * NUM_PMJ_SAMPLES + (s % NUM_PMJ_SAMPLES)) + (dim & 1);
-
-  float fx = kernel_tex_fetch(__sample_pattern_lut, index);
-
-#ifndef _NO_CRANLEY_PATTERSON_ROTATION_
-  /* Use Cranley-Patterson rotation to displace the sample pattern. */
-#  ifdef _SIMPLE_HASH_
-  float dx = cmj_randfloat_simple(d, rng_hash);
-#  else
-  float dx = cmj_randfloat(d, rng_hash);
-#  endif
-  /* Jitter sample locations and map back into [0 1]. */
-  fx = fx + dx;
-  fx = fx - floorf(fx);
-#else
-#  warning "Not using Cranley-Patterson Rotation."
-#endif
-
-  return fx;
-}
-
-ccl_device void pmj_sample_2D(KernelGlobals kg,
-                              uint sample,
-                              uint rng_hash,
-                              uint dimension,
-                              ccl_private float *x,
-                              ccl_private float *y)
-{
-  /* Perform a shuffle on the sample number to reorder the samples. */
-#ifdef _SIMPLE_HASH_
-  const uint rv = cmj_hash_simple(dimension, rng_hash);
-#else /* Use a _REGULAR_HASH_. */
-  const uint rv = cmj_hash(dimension, rng_hash);
-#endif
-#ifdef _XOR_SHUFFLE_
-#  warning "Using XOR shuffle."
-  const uint s = sample ^ rv;
-#else /* Use _OWEN_SHUFFLE_ for reordering. */
-  const uint s = nested_uniform_scramble(sample, rv);
-#endif
-
-  /* Based on the sample number a sample pattern is selected and offset by the dimension. */
-  const uint sample_set = s / NUM_PMJ_SAMPLES;
-  const uint d = (dimension + sample_set);
-  uint dim = d % NUM_PMJ_PATTERNS;
-  int index = 2 * (dim * NUM_PMJ_SAMPLES + (s % NUM_PMJ_SAMPLES));
-
-  float fx = kernel_tex_fetch(__sample_pattern_lut, index);
-  float fy = kernel_tex_fetch(__sample_pattern_lut, index + 1);
-
-#ifndef _NO_CRANLEY_PATTERSON_ROTATION_
-  /* Use Cranley-Patterson rotation to displace the sample pattern. */
-#  ifdef _SIMPLE_HASH_
-  float dx = cmj_randfloat_simple(d, rng_hash);
-  float dy = cmj_randfloat_simple(d + 1, rng_hash);
-#  else
-  float dx = cmj_randfloat(d, rng_hash);
-  float dy = cmj_randfloat(d + 1, rng_hash);
-#  endif
-  /* Jitter sample locations and map back to the unit square [0 1]x[0 1]. */
-  float sx = fx + dx;
-  float sy = fy + dy;
-  sx = sx - floorf(sx);
-  sy = sy - floorf(sy);
-#else
-#  warning "Not using Cranley Patterson Rotation."
-#endif
-
-  (*x) = sx;
-  (*y) = sy;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_light.h b/intern/cycles/kernel/kernel_light.h
deleted file mode 100644
index b3eaed4fcb0..00000000000
--- a/intern/cycles/kernel/kernel_light.h
+++ /dev/null
@@ -1,875 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "geom/geom.h"
-
-#include "kernel_light_background.h"
-#include "kernel_montecarlo.h"
-#include "kernel_projection.h"
-#include "kernel_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Light Sample result */
-
-typedef struct LightSample {
-  float3 P;       /* position on light, or direction for distant light */
-  float3 Ng;      /* normal on light */
-  float3 D;       /* direction from shading point to light */
-  float t;        /* distance to light (FLT_MAX for distant light) */
-  float u, v;     /* parametric coordinate on primitive */
-  float pdf;      /* light sampling probability density function */
-  float eval_fac; /* intensity multiplier */
-  int object;     /* object id for triangle/curve lights */
-  int prim;       /* primitive id for triangle/curve lights */
-  int shader;     /* shader id */
-  int lamp;       /* lamp id */
-  LightType type; /* type of light */
-} LightSample;
-
-/* Regular Light */
-
-template<bool in_volume_segment>
-ccl_device_inline bool light_sample(KernelGlobals kg,
-                                    const int lamp,
-                                    const float randu,
-                                    const float randv,
-                                    const float3 P,
-                                    const uint32_t path_flag,
-                                    ccl_private LightSample *ls)
-{
-  const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
-  if (path_flag & PATH_RAY_SHADOW_CATCHER_PASS) {
-    if (klight->shader_id & SHADER_EXCLUDE_SHADOW_CATCHER) {
-      return false;
-    }
-  }
-
-  LightType type = (LightType)klight->type;
-  ls->type = type;
-  ls->shader = klight->shader_id;
-  ls->object = PRIM_NONE;
-  ls->prim = PRIM_NONE;
-  ls->lamp = lamp;
-  ls->u = randu;
-  ls->v = randv;
-
-  if (in_volume_segment && (type == LIGHT_DISTANT || type == LIGHT_BACKGROUND)) {
-    /* Distant lights in a volume get a dummy sample, position will not actually
-     * be used in that case. Only when sampling from a specific scatter position
-     * do we actually need to evaluate these. */
-    ls->P = zero_float3();
-    ls->Ng = zero_float3();
-    ls->D = zero_float3();
-    ls->pdf = true;
-    ls->t = FLT_MAX;
-    return true;
-  }
-
-  if (type == LIGHT_DISTANT) {
-    /* distant light */
-    float3 lightD = make_float3(klight->co[0], klight->co[1], klight->co[2]);
-    float3 D = lightD;
-    float radius = klight->distant.radius;
-    float invarea = klight->distant.invarea;
-
-    if (radius > 0.0f)
-      D = distant_light_sample(D, radius, randu, randv);
-
-    ls->P = D;
-    ls->Ng = D;
-    ls->D = -D;
-    ls->t = FLT_MAX;
-
-    float costheta = dot(lightD, D);
-    ls->pdf = invarea / (costheta * costheta * costheta);
-    ls->eval_fac = ls->pdf;
-  }
-#ifdef __BACKGROUND_MIS__
-  else if (type == LIGHT_BACKGROUND) {
-    /* infinite area light (e.g. light dome or env light) */
-    float3 D = -background_light_sample(kg, P, randu, randv, &ls->pdf);
-
-    ls->P = D;
-    ls->Ng = D;
-    ls->D = -D;
-    ls->t = FLT_MAX;
-    ls->eval_fac = 1.0f;
-  }
-#endif
-  else {
-    ls->P = make_float3(klight->co[0], klight->co[1], klight->co[2]);
-
-    if (type == LIGHT_POINT || type == LIGHT_SPOT) {
-      float radius = klight->spot.radius;
-
-      if (radius > 0.0f)
-        /* sphere light */
-        ls->P += sphere_light_sample(P, ls->P, radius, randu, randv);
-
-      ls->D = normalize_len(ls->P - P, &ls->t);
-      ls->Ng = -ls->D;
-
-      float invarea = klight->spot.invarea;
-      ls->eval_fac = (0.25f * M_1_PI_F) * invarea;
-      ls->pdf = invarea;
-
-      if (type == LIGHT_SPOT) {
-        /* spot light attenuation */
-        float3 dir = make_float3(klight->spot.dir[0], klight->spot.dir[1], klight->spot.dir[2]);
-        ls->eval_fac *= spot_light_attenuation(
-            dir, klight->spot.spot_angle, klight->spot.spot_smooth, ls->Ng);
-        if (ls->eval_fac == 0.0f) {
-          return false;
-        }
-      }
-      float2 uv = map_to_sphere(ls->Ng);
-      ls->u = uv.x;
-      ls->v = uv.y;
-
-      ls->pdf *= lamp_light_pdf(kg, ls->Ng, -ls->D, ls->t);
-    }
-    else {
-      /* area light */
-      float3 axisu = make_float3(
-          klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
-      float3 axisv = make_float3(
-          klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
-      float3 Ng = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
-      float invarea = fabsf(klight->area.invarea);
-      bool is_round = (klight->area.invarea < 0.0f);
-
-      if (!in_volume_segment) {
-        if (dot(ls->P - P, Ng) > 0.0f) {
-          return false;
-        }
-      }
-
-      float3 inplane;
-
-      if (is_round || in_volume_segment) {
-        inplane = ellipse_sample(axisu * 0.5f, axisv * 0.5f, randu, randv);
-        ls->P += inplane;
-        ls->pdf = invarea;
-      }
-      else {
-        inplane = ls->P;
-
-        float3 sample_axisu = axisu;
-        float3 sample_axisv = axisv;
-
-        if (klight->area.tan_spread > 0.0f) {
-          if (!light_spread_clamp_area_light(
-                  P, Ng, &ls->P, &sample_axisu, &sample_axisv, klight->area.tan_spread)) {
-            return false;
-          }
-        }
-
-        ls->pdf = rect_light_sample(P, &ls->P, sample_axisu, sample_axisv, randu, randv, true);
-        inplane = ls->P - inplane;
-      }
-
-      ls->u = dot(inplane, axisu) * (1.0f / dot(axisu, axisu)) + 0.5f;
-      ls->v = dot(inplane, axisv) * (1.0f / dot(axisv, axisv)) + 0.5f;
-
-      ls->Ng = Ng;
-      ls->D = normalize_len(ls->P - P, &ls->t);
-
-      ls->eval_fac = 0.25f * invarea;
-
-      if (klight->area.tan_spread > 0.0f) {
-        /* Area Light spread angle attenuation */
-        ls->eval_fac *= light_spread_attenuation(
-            ls->D, ls->Ng, klight->area.tan_spread, klight->area.normalize_spread);
-      }
-
-      if (is_round) {
-        ls->pdf *= lamp_light_pdf(kg, Ng, -ls->D, ls->t);
-      }
-    }
-  }
-
-  ls->pdf *= kernel_data.integrator.pdf_lights;
-
-  return (ls->pdf > 0.0f);
-}
-
-ccl_device bool lights_intersect(KernelGlobals kg,
-                                 ccl_private const Ray *ccl_restrict ray,
-                                 ccl_private Intersection *ccl_restrict isect,
-                                 const int last_prim,
-                                 const int last_object,
-                                 const int last_type,
-                                 const uint32_t path_flag)
-{
-  for (int lamp = 0; lamp < kernel_data.integrator.num_all_lights; lamp++) {
-    const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
-
-    if (path_flag & PATH_RAY_CAMERA) {
-      if (klight->shader_id & SHADER_EXCLUDE_CAMERA) {
-        continue;
-      }
-    }
-    else {
-      if (!(klight->shader_id & SHADER_USE_MIS)) {
-        continue;
-      }
-    }
-
-    if (path_flag & PATH_RAY_SHADOW_CATCHER_PASS) {
-      if (klight->shader_id & SHADER_EXCLUDE_SHADOW_CATCHER) {
-        continue;
-      }
-    }
-
-    LightType type = (LightType)klight->type;
-    float t = 0.0f, u = 0.0f, v = 0.0f;
-
-    if (type == LIGHT_POINT || type == LIGHT_SPOT) {
-      /* Sphere light. */
-      const float3 lightP = make_float3(klight->co[0], klight->co[1], klight->co[2]);
-      const float radius = klight->spot.radius;
-      if (radius == 0.0f) {
-        continue;
-      }
-
-      float3 P;
-      if (!ray_aligned_disk_intersect(ray->P, ray->D, ray->t, lightP, radius, &P, &t)) {
-        continue;
-      }
-    }
-    else if (type == LIGHT_AREA) {
-      /* Area light. */
-      const float invarea = fabsf(klight->area.invarea);
-      const bool is_round = (klight->area.invarea < 0.0f);
-      if (invarea == 0.0f) {
-        continue;
-      }
-
-      const float3 axisu = make_float3(
-          klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
-      const float3 axisv = make_float3(
-          klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
-      const float3 Ng = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
-
-      /* One sided. */
-      if (dot(ray->D, Ng) >= 0.0f) {
-        continue;
-      }
-
-      const float3 light_P = make_float3(klight->co[0], klight->co[1], klight->co[2]);
-
-      float3 P;
-      if (!ray_quad_intersect(
-              ray->P, ray->D, 0.0f, ray->t, light_P, axisu, axisv, Ng, &P, &t, &u, &v, is_round)) {
-        continue;
-      }
-    }
-    else {
-      continue;
-    }
-
-    if (t < isect->t &&
-        !(last_prim == lamp && last_object == OBJECT_NONE && last_type == PRIMITIVE_LAMP)) {
-      isect->t = t;
-      isect->u = u;
-      isect->v = v;
-      isect->type = PRIMITIVE_LAMP;
-      isect->prim = lamp;
-      isect->object = OBJECT_NONE;
-    }
-  }
-
-  return isect->prim != PRIM_NONE;
-}
-
-ccl_device bool light_sample_from_distant_ray(KernelGlobals kg,
-                                              const float3 ray_D,
-                                              const int lamp,
-                                              ccl_private LightSample *ccl_restrict ls)
-{
-  ccl_global const KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
-  const int shader = klight->shader_id;
-  const float radius = klight->distant.radius;
-  const LightType type = (LightType)klight->type;
-
-  if (type != LIGHT_DISTANT) {
-    return false;
-  }
-  if (!(shader & SHADER_USE_MIS)) {
-    return false;
-  }
-  if (radius == 0.0f) {
-    return false;
-  }
-
-  /* a distant light is infinitely far away, but equivalent to a disk
-   * shaped light exactly 1 unit away from the current shading point.
-   *
-   *     radius              t^2/cos(theta)
-   *  <---------->           t = sqrt(1^2 + tan(theta)^2)
-   *       tan(th)           area = radius*radius*pi
-   *       <----->
-   *        \    |           (1 + tan(theta)^2)/cos(theta)
-   *         \   |           (1 + tan(acos(cos(theta)))^2)/cos(theta)
-   *       t  \th| 1         simplifies to
-   *           \-|           1/(cos(theta)^3)
-   *            \|           magic!
-   *             P
-   */
-
-  float3 lightD = make_float3(klight->co[0], klight->co[1], klight->co[2]);
-  float costheta = dot(-lightD, ray_D);
-  float cosangle = klight->distant.cosangle;
-
-  if (costheta < cosangle)
-    return false;
-
-  ls->type = type;
-  ls->shader = klight->shader_id;
-  ls->object = PRIM_NONE;
-  ls->prim = PRIM_NONE;
-  ls->lamp = lamp;
-  /* todo: missing texture coordinates */
-  ls->u = 0.0f;
-  ls->v = 0.0f;
-  ls->t = FLT_MAX;
-  ls->P = -ray_D;
-  ls->Ng = -ray_D;
-  ls->D = ray_D;
-
-  /* compute pdf */
-  float invarea = klight->distant.invarea;
-  ls->pdf = invarea / (costheta * costheta * costheta);
-  ls->pdf *= kernel_data.integrator.pdf_lights;
-  ls->eval_fac = ls->pdf;
-
-  return true;
-}
-
-ccl_device bool light_sample_from_intersection(KernelGlobals kg,
-                                               ccl_private const Intersection *ccl_restrict isect,
-                                               const float3 ray_P,
-                                               const float3 ray_D,
-                                               ccl_private LightSample *ccl_restrict ls)
-{
-  const int lamp = isect->prim;
-  ccl_global const KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
-  LightType type = (LightType)klight->type;
-  ls->type = type;
-  ls->shader = klight->shader_id;
-  ls->object = PRIM_NONE;
-  ls->prim = PRIM_NONE;
-  ls->lamp = lamp;
-  /* todo: missing texture coordinates */
-  ls->t = isect->t;
-  ls->P = ray_P + ray_D * ls->t;
-  ls->D = ray_D;
-
-  if (type == LIGHT_POINT || type == LIGHT_SPOT) {
-    ls->Ng = -ray_D;
-
-    float invarea = klight->spot.invarea;
-    ls->eval_fac = (0.25f * M_1_PI_F) * invarea;
-    ls->pdf = invarea;
-
-    if (type == LIGHT_SPOT) {
-      /* spot light attenuation */
-      float3 dir = make_float3(klight->spot.dir[0], klight->spot.dir[1], klight->spot.dir[2]);
-      ls->eval_fac *= spot_light_attenuation(
-          dir, klight->spot.spot_angle, klight->spot.spot_smooth, ls->Ng);
-
-      if (ls->eval_fac == 0.0f) {
-        return false;
-      }
-    }
-    float2 uv = map_to_sphere(ls->Ng);
-    ls->u = uv.x;
-    ls->v = uv.y;
-
-    /* compute pdf */
-    if (ls->t != FLT_MAX)
-      ls->pdf *= lamp_light_pdf(kg, ls->Ng, -ls->D, ls->t);
-  }
-  else if (type == LIGHT_AREA) {
-    /* area light */
-    float invarea = fabsf(klight->area.invarea);
-
-    float3 axisu = make_float3(
-        klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
-    float3 axisv = make_float3(
-        klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
-    float3 Ng = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
-    float3 light_P = make_float3(klight->co[0], klight->co[1], klight->co[2]);
-
-    ls->u = isect->u;
-    ls->v = isect->v;
-    ls->D = ray_D;
-    ls->Ng = Ng;
-
-    const bool is_round = (klight->area.invarea < 0.0f);
-    if (is_round) {
-      ls->pdf = invarea * lamp_light_pdf(kg, Ng, -ray_D, ls->t);
-    }
-    else {
-      float3 sample_axisu = axisu;
-      float3 sample_axisv = axisv;
-
-      if (klight->area.tan_spread > 0.0f) {
-        if (!light_spread_clamp_area_light(
-                ray_P, Ng, &light_P, &sample_axisu, &sample_axisv, klight->area.tan_spread)) {
-          return false;
-        }
-      }
-
-      ls->pdf = rect_light_sample(ray_P, &light_P, sample_axisu, sample_axisv, 0, 0, false);
-    }
-    ls->eval_fac = 0.25f * invarea;
-
-    if (klight->area.tan_spread > 0.0f) {
-      /* Area Light spread angle attenuation */
-      ls->eval_fac *= light_spread_attenuation(
-          ls->D, ls->Ng, klight->area.tan_spread, klight->area.normalize_spread);
-      if (ls->eval_fac == 0.0f) {
-        return false;
-      }
-    }
-  }
-  else {
-    kernel_assert(!"Invalid lamp type in light_sample_from_intersection");
-    return false;
-  }
-
-  ls->pdf *= kernel_data.integrator.pdf_lights;
-
-  return true;
-}
-
-/* Triangle Light */
-
-/* returns true if the triangle is has motion blur or an instancing transform applied */
-ccl_device_inline bool triangle_world_space_vertices(
-    KernelGlobals kg, int object, int prim, float time, float3 V[3])
-{
-  bool has_motion = false;
-  const int object_flag = kernel_tex_fetch(__object_flag, object);
-
-  if (object_flag & SD_OBJECT_HAS_VERTEX_MOTION && time >= 0.0f) {
-    motion_triangle_vertices(kg, object, prim, time, V);
-    has_motion = true;
-  }
-  else {
-    triangle_vertices(kg, prim, V);
-  }
-
-  if (!(object_flag & SD_OBJECT_TRANSFORM_APPLIED)) {
-#ifdef __OBJECT_MOTION__
-    float object_time = (time >= 0.0f) ? time : 0.5f;
-    Transform tfm = object_fetch_transform_motion_test(kg, object, object_time, NULL);
-#else
-    Transform tfm = object_fetch_transform(kg, object, OBJECT_TRANSFORM);
-#endif
-    V[0] = transform_point(&tfm, V[0]);
-    V[1] = transform_point(&tfm, V[1]);
-    V[2] = transform_point(&tfm, V[2]);
-    has_motion = true;
-  }
-  return has_motion;
-}
-
-ccl_device_inline float triangle_light_pdf_area(KernelGlobals kg,
-                                                const float3 Ng,
-                                                const float3 I,
-                                                float t)
-{
-  float pdf = kernel_data.integrator.pdf_triangles;
-  float cos_pi = fabsf(dot(Ng, I));
-
-  if (cos_pi == 0.0f)
-    return 0.0f;
-
-  return t * t * pdf / cos_pi;
-}
-
-ccl_device_forceinline float triangle_light_pdf(KernelGlobals kg,
-                                                ccl_private const ShaderData *sd,
-                                                float t)
-{
-  /* A naive heuristic to decide between costly solid angle sampling
-   * and simple area sampling, comparing the distance to the triangle plane
-   * to the length of the edges of the triangle. */
-
-  float3 V[3];
-  bool has_motion = triangle_world_space_vertices(kg, sd->object, sd->prim, sd->time, V);
-
-  const float3 e0 = V[1] - V[0];
-  const float3 e1 = V[2] - V[0];
-  const float3 e2 = V[2] - V[1];
-  const float longest_edge_squared = max(len_squared(e0), max(len_squared(e1), len_squared(e2)));
-  const float3 N = cross(e0, e1);
-  const float distance_to_plane = fabsf(dot(N, sd->I * t)) / dot(N, N);
-
-  if (longest_edge_squared > distance_to_plane * distance_to_plane) {
-    /* sd contains the point on the light source
-     * calculate Px, the point that we're shading */
-    const float3 Px = sd->P + sd->I * t;
-    const float3 v0_p = V[0] - Px;
-    const float3 v1_p = V[1] - Px;
-    const float3 v2_p = V[2] - Px;
-
-    const float3 u01 = safe_normalize(cross(v0_p, v1_p));
-    const float3 u02 = safe_normalize(cross(v0_p, v2_p));
-    const float3 u12 = safe_normalize(cross(v1_p, v2_p));
-
-    const float alpha = fast_acosf(dot(u02, u01));
-    const float beta = fast_acosf(-dot(u01, u12));
-    const float gamma = fast_acosf(dot(u02, u12));
-    const float solid_angle = alpha + beta + gamma - M_PI_F;
-
-    /* pdf_triangles is calculated over triangle area, but we're not sampling over its area */
-    if (UNLIKELY(solid_angle == 0.0f)) {
-      return 0.0f;
-    }
-    else {
-      float area = 1.0f;
-      if (has_motion) {
-        /* get the center frame vertices, this is what the PDF was calculated from */
-        triangle_world_space_vertices(kg, sd->object, sd->prim, -1.0f, V);
-        area = triangle_area(V[0], V[1], V[2]);
-      }
-      else {
-        area = 0.5f * len(N);
-      }
-      const float pdf = area * kernel_data.integrator.pdf_triangles;
-      return pdf / solid_angle;
-    }
-  }
-  else {
-    float pdf = triangle_light_pdf_area(kg, sd->Ng, sd->I, t);
-    if (has_motion) {
-      const float area = 0.5f * len(N);
-      if (UNLIKELY(area == 0.0f)) {
-        return 0.0f;
-      }
-      /* scale the PDF.
-       * area = the area the sample was taken from
-       * area_pre = the are from which pdf_triangles was calculated from */
-      triangle_world_space_vertices(kg, sd->object, sd->prim, -1.0f, V);
-      const float area_pre = triangle_area(V[0], V[1], V[2]);
-      pdf = pdf * area_pre / area;
-    }
-    return pdf;
-  }
-}
-
-template<bool in_volume_segment>
-ccl_device_forceinline void triangle_light_sample(KernelGlobals kg,
-                                                  int prim,
-                                                  int object,
-                                                  float randu,
-                                                  float randv,
-                                                  float time,
-                                                  ccl_private LightSample *ls,
-                                                  const float3 P)
-{
-  /* A naive heuristic to decide between costly solid angle sampling
-   * and simple area sampling, comparing the distance to the triangle plane
-   * to the length of the edges of the triangle. */
-
-  float3 V[3];
-  bool has_motion = triangle_world_space_vertices(kg, object, prim, time, V);
-
-  const float3 e0 = V[1] - V[0];
-  const float3 e1 = V[2] - V[0];
-  const float3 e2 = V[2] - V[1];
-  const float longest_edge_squared = max(len_squared(e0), max(len_squared(e1), len_squared(e2)));
-  const float3 N0 = cross(e0, e1);
-  float Nl = 0.0f;
-  ls->Ng = safe_normalize_len(N0, &Nl);
-  float area = 0.5f * Nl;
-
-  /* flip normal if necessary */
-  const int object_flag = kernel_tex_fetch(__object_flag, object);
-  if (object_flag & SD_OBJECT_NEGATIVE_SCALE_APPLIED) {
-    ls->Ng = -ls->Ng;
-  }
-  ls->eval_fac = 1.0f;
-  ls->shader = kernel_tex_fetch(__tri_shader, prim);
-  ls->object = object;
-  ls->prim = prim;
-  ls->lamp = LAMP_NONE;
-  ls->shader |= SHADER_USE_MIS;
-  ls->type = LIGHT_TRIANGLE;
-
-  float distance_to_plane = fabsf(dot(N0, V[0] - P) / dot(N0, N0));
-
-  if (!in_volume_segment && (longest_edge_squared > distance_to_plane * distance_to_plane)) {
-    /* see James Arvo, "Stratified Sampling of Spherical Triangles"
-     * http://www.graphics.cornell.edu/pubs/1995/Arv95c.pdf */
-
-    /* project the triangle to the unit sphere
-     * and calculate its edges and angles */
-    const float3 v0_p = V[0] - P;
-    const float3 v1_p = V[1] - P;
-    const float3 v2_p = V[2] - P;
-
-    const float3 u01 = safe_normalize(cross(v0_p, v1_p));
-    const float3 u02 = safe_normalize(cross(v0_p, v2_p));
-    const float3 u12 = safe_normalize(cross(v1_p, v2_p));
-
-    const float3 A = safe_normalize(v0_p);
-    const float3 B = safe_normalize(v1_p);
-    const float3 C = safe_normalize(v2_p);
-
-    const float cos_alpha = dot(u02, u01);
-    const float cos_beta = -dot(u01, u12);
-    const float cos_gamma = dot(u02, u12);
-
-    /* calculate dihedral angles */
-    const float alpha = fast_acosf(cos_alpha);
-    const float beta = fast_acosf(cos_beta);
-    const float gamma = fast_acosf(cos_gamma);
-    /* the area of the unit spherical triangle = solid angle */
-    const float solid_angle = alpha + beta + gamma - M_PI_F;
-
-    /* precompute a few things
-     * these could be re-used to take several samples
-     * as they are independent of randu/randv */
-    const float cos_c = dot(A, B);
-    const float sin_alpha = fast_sinf(alpha);
-    const float product = sin_alpha * cos_c;
-
-    /* Select a random sub-area of the spherical triangle
-     * and calculate the third vertex C_ of that new triangle */
-    const float phi = randu * solid_angle - alpha;
-    float s, t;
-    fast_sincosf(phi, &s, &t);
-    const float u = t - cos_alpha;
-    const float v = s + product;
-
-    const float3 U = safe_normalize(C - dot(C, A) * A);
-
-    float q = 1.0f;
-    const float det = ((v * s + u * t) * sin_alpha);
-    if (det != 0.0f) {
-      q = ((v * t - u * s) * cos_alpha - v) / det;
-    }
-    const float temp = max(1.0f - q * q, 0.0f);
-
-    const float3 C_ = safe_normalize(q * A + sqrtf(temp) * U);
-
-    /* Finally, select a random point along the edge of the new triangle
-     * That point on the spherical triangle is the sampled ray direction */
-    const float z = 1.0f - randv * (1.0f - dot(C_, B));
-    ls->D = z * B + safe_sqrtf(1.0f - z * z) * safe_normalize(C_ - dot(C_, B) * B);
-
-    /* calculate intersection with the planar triangle */
-    if (!ray_triangle_intersect(P,
-                                ls->D,
-                                FLT_MAX,
-#if defined(__KERNEL_SSE2__) && defined(__KERNEL_SSE__)
-                                (ssef *)V,
-#else
-                                V[0],
-                                V[1],
-                                V[2],
-#endif
-                                &ls->u,
-                                &ls->v,
-                                &ls->t)) {
-      ls->pdf = 0.0f;
-      return;
-    }
-
-    ls->P = P + ls->D * ls->t;
-
-    /* pdf_triangles is calculated over triangle area, but we're sampling over solid angle */
-    if (UNLIKELY(solid_angle == 0.0f)) {
-      ls->pdf = 0.0f;
-      return;
-    }
-    else {
-      if (has_motion) {
-        /* get the center frame vertices, this is what the PDF was calculated from */
-        triangle_world_space_vertices(kg, object, prim, -1.0f, V);
-        area = triangle_area(V[0], V[1], V[2]);
-      }
-      const float pdf = area * kernel_data.integrator.pdf_triangles;
-      ls->pdf = pdf / solid_angle;
-    }
-  }
-  else {
-    /* compute random point in triangle. From Eric Heitz's "A Low-Distortion Map Between Triangle
-     * and Square" */
-    float u = randu;
-    float v = randv;
-    if (v > u) {
-      u *= 0.5f;
-      v -= u;
-    }
-    else {
-      v *= 0.5f;
-      u -= v;
-    }
-
-    const float t = 1.0f - u - v;
-    ls->P = u * V[0] + v * V[1] + t * V[2];
-    /* compute incoming direction, distance and pdf */
-    ls->D = normalize_len(ls->P - P, &ls->t);
-    ls->pdf = triangle_light_pdf_area(kg, ls->Ng, -ls->D, ls->t);
-    if (has_motion && area != 0.0f) {
-      /* scale the PDF.
-       * area = the area the sample was taken from
-       * area_pre = the are from which pdf_triangles was calculated from */
-      triangle_world_space_vertices(kg, object, prim, -1.0f, V);
-      const float area_pre = triangle_area(V[0], V[1], V[2]);
-      ls->pdf = ls->pdf * area_pre / area;
-    }
-    ls->u = u;
-    ls->v = v;
-  }
-}
-
-/* Light Distribution */
-
-ccl_device int light_distribution_sample(KernelGlobals kg, ccl_private float *randu)
-{
-  /* This is basically std::upper_bound as used by PBRT, to find a point light or
-   * triangle to emit from, proportional to area. a good improvement would be to
-   * also sample proportional to power, though it's not so well defined with
-   * arbitrary shaders. */
-  int first = 0;
-  int len = kernel_data.integrator.num_distribution + 1;
-  float r = *randu;
-
-  do {
-    int half_len = len >> 1;
-    int middle = first + half_len;
-
-    if (r < kernel_tex_fetch(__light_distribution, middle).totarea) {
-      len = half_len;
-    }
-    else {
-      first = middle + 1;
-      len = len - half_len - 1;
-    }
-  } while (len > 0);
-
-  /* Clamping should not be needed but float rounding errors seem to
-   * make this fail on rare occasions. */
-  int index = clamp(first - 1, 0, kernel_data.integrator.num_distribution - 1);
-
-  /* Rescale to reuse random number. this helps the 2D samples within
-   * each area light be stratified as well. */
-  float distr_min = kernel_tex_fetch(__light_distribution, index).totarea;
-  float distr_max = kernel_tex_fetch(__light_distribution, index + 1).totarea;
-  *randu = (r - distr_min) / (distr_max - distr_min);
-
-  return index;
-}
-
-/* Generic Light */
-
-ccl_device_inline bool light_select_reached_max_bounces(KernelGlobals kg, int index, int bounce)
-{
-  return (bounce > kernel_tex_fetch(__lights, index).max_bounces);
-}
-
-template<bool in_volume_segment>
-ccl_device_noinline bool light_distribution_sample(KernelGlobals kg,
-                                                   float randu,
-                                                   const float randv,
-                                                   const float time,
-                                                   const float3 P,
-                                                   const int bounce,
-                                                   const uint32_t path_flag,
-                                                   ccl_private LightSample *ls)
-{
-  /* Sample light index from distribution. */
-  const int index = light_distribution_sample(kg, &randu);
-  ccl_global const KernelLightDistribution *kdistribution = &kernel_tex_fetch(__light_distribution,
-                                                                              index);
-  const int prim = kdistribution->prim;
-
-  if (prim >= 0) {
-    /* Mesh light. */
-    const int object = kdistribution->mesh_light.object_id;
-
-    /* Exclude synthetic meshes from shadow catcher pass. */
-    if ((path_flag & PATH_RAY_SHADOW_CATCHER_PASS) &&
-        !(kernel_tex_fetch(__object_flag, object) & SD_OBJECT_SHADOW_CATCHER)) {
-      return false;
-    }
-
-    const int shader_flag = kdistribution->mesh_light.shader_flag;
-    triangle_light_sample<in_volume_segment>(kg, prim, object, randu, randv, time, ls, P);
-    ls->shader |= shader_flag;
-    return (ls->pdf > 0.0f);
-  }
-
-  const int lamp = -prim - 1;
-
-  if (UNLIKELY(light_select_reached_max_bounces(kg, lamp, bounce))) {
-    return false;
-  }
-
-  return light_sample<in_volume_segment>(kg, lamp, randu, randv, P, path_flag, ls);
-}
-
-ccl_device_inline bool light_distribution_sample_from_volume_segment(KernelGlobals kg,
-                                                                     float randu,
-                                                                     const float randv,
-                                                                     const float time,
-                                                                     const float3 P,
-                                                                     const int bounce,
-                                                                     const uint32_t path_flag,
-                                                                     ccl_private LightSample *ls)
-{
-  return light_distribution_sample<true>(kg, randu, randv, time, P, bounce, path_flag, ls);
-}
-
-ccl_device_inline bool light_distribution_sample_from_position(KernelGlobals kg,
-                                                               float randu,
-                                                               const float randv,
-                                                               const float time,
-                                                               const float3 P,
-                                                               const int bounce,
-                                                               const uint32_t path_flag,
-                                                               ccl_private LightSample *ls)
-{
-  return light_distribution_sample<false>(kg, randu, randv, time, P, bounce, path_flag, ls);
-}
-
-ccl_device_inline bool light_distribution_sample_new_position(KernelGlobals kg,
-                                                              const float randu,
-                                                              const float randv,
-                                                              const float time,
-                                                              const float3 P,
-                                                              ccl_private LightSample *ls)
-{
-  /* Sample a new position on the same light, for volume sampling. */
-  if (ls->type == LIGHT_TRIANGLE) {
-    triangle_light_sample<false>(kg, ls->prim, ls->object, randu, randv, time, ls, P);
-    return (ls->pdf > 0.0f);
-  }
-  else {
-    return light_sample<false>(kg, ls->lamp, randu, randv, P, 0, ls);
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_light_background.h b/intern/cycles/kernel/kernel_light_background.h
deleted file mode 100644
index 2e828b8b765..00000000000
--- a/intern/cycles/kernel/kernel_light_background.h
+++ /dev/null
@@ -1,453 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel_light_common.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Background Light */
-
-#ifdef __BACKGROUND_MIS__
-
-ccl_device float3 background_map_sample(KernelGlobals kg,
-                                        float randu,
-                                        float randv,
-                                        ccl_private float *pdf)
-{
-  /* for the following, the CDF values are actually a pair of floats, with the
-   * function value as X and the actual CDF as Y.  The last entry's function
-   * value is the CDF total. */
-  int res_x = kernel_data.background.map_res_x;
-  int res_y = kernel_data.background.map_res_y;
-  int cdf_width = res_x + 1;
-
-  /* This is basically std::lower_bound as used by PBRT. */
-  int first = 0;
-  int count = res_y;
-
-  while (count > 0) {
-    int step = count >> 1;
-    int middle = first + step;
-
-    if (kernel_tex_fetch(__light_background_marginal_cdf, middle).y < randv) {
-      first = middle + 1;
-      count -= step + 1;
-    }
-    else
-      count = step;
-  }
-
-  int index_v = max(0, first - 1);
-  kernel_assert(index_v >= 0 && index_v < res_y);
-
-  float2 cdf_v = kernel_tex_fetch(__light_background_marginal_cdf, index_v);
-  float2 cdf_next_v = kernel_tex_fetch(__light_background_marginal_cdf, index_v + 1);
-  float2 cdf_last_v = kernel_tex_fetch(__light_background_marginal_cdf, res_y);
-
-  /* importance-sampled V direction */
-  float dv = inverse_lerp(cdf_v.y, cdf_next_v.y, randv);
-  float v = (index_v + dv) / res_y;
-
-  /* This is basically std::lower_bound as used by PBRT. */
-  first = 0;
-  count = res_x;
-  while (count > 0) {
-    int step = count >> 1;
-    int middle = first + step;
-
-    if (kernel_tex_fetch(__light_background_conditional_cdf, index_v * cdf_width + middle).y <
-        randu) {
-      first = middle + 1;
-      count -= step + 1;
-    }
-    else
-      count = step;
-  }
-
-  int index_u = max(0, first - 1);
-  kernel_assert(index_u >= 0 && index_u < res_x);
-
-  float2 cdf_u = kernel_tex_fetch(__light_background_conditional_cdf,
-                                  index_v * cdf_width + index_u);
-  float2 cdf_next_u = kernel_tex_fetch(__light_background_conditional_cdf,
-                                       index_v * cdf_width + index_u + 1);
-  float2 cdf_last_u = kernel_tex_fetch(__light_background_conditional_cdf,
-                                       index_v * cdf_width + res_x);
-
-  /* importance-sampled U direction */
-  float du = inverse_lerp(cdf_u.y, cdf_next_u.y, randu);
-  float u = (index_u + du) / res_x;
-
-  /* compute pdf */
-  float sin_theta = sinf(M_PI_F * v);
-  float denom = (M_2PI_F * M_PI_F * sin_theta) * cdf_last_u.x * cdf_last_v.x;
-
-  if (sin_theta == 0.0f || denom == 0.0f)
-    *pdf = 0.0f;
-  else
-    *pdf = (cdf_u.x * cdf_v.x) / denom;
-
-  /* compute direction */
-  return equirectangular_to_direction(u, v);
-}
-
-/* TODO(sergey): Same as above, after the release we should consider using
- * 'noinline' for all devices.
- */
-ccl_device float background_map_pdf(KernelGlobals kg, float3 direction)
-{
-  float2 uv = direction_to_equirectangular(direction);
-  int res_x = kernel_data.background.map_res_x;
-  int res_y = kernel_data.background.map_res_y;
-  int cdf_width = res_x + 1;
-
-  float sin_theta = sinf(uv.y * M_PI_F);
-
-  if (sin_theta == 0.0f)
-    return 0.0f;
-
-  int index_u = clamp(float_to_int(uv.x * res_x), 0, res_x - 1);
-  int index_v = clamp(float_to_int(uv.y * res_y), 0, res_y - 1);
-
-  /* pdfs in V direction */
-  float2 cdf_last_u = kernel_tex_fetch(__light_background_conditional_cdf,
-                                       index_v * cdf_width + res_x);
-  float2 cdf_last_v = kernel_tex_fetch(__light_background_marginal_cdf, res_y);
-
-  float denom = (M_2PI_F * M_PI_F * sin_theta) * cdf_last_u.x * cdf_last_v.x;
-
-  if (denom == 0.0f)
-    return 0.0f;
-
-  /* pdfs in U direction */
-  float2 cdf_u = kernel_tex_fetch(__light_background_conditional_cdf,
-                                  index_v * cdf_width + index_u);
-  float2 cdf_v = kernel_tex_fetch(__light_background_marginal_cdf, index_v);
-
-  return (cdf_u.x * cdf_v.x) / denom;
-}
-
-ccl_device_inline bool background_portal_data_fetch_and_check_side(
-    KernelGlobals kg, float3 P, int index, ccl_private float3 *lightpos, ccl_private float3 *dir)
-{
-  int portal = kernel_data.background.portal_offset + index;
-  const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, portal);
-
-  *lightpos = make_float3(klight->co[0], klight->co[1], klight->co[2]);
-  *dir = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
-
-  /* Check whether portal is on the right side. */
-  if (dot(*dir, P - *lightpos) > 1e-4f)
-    return true;
-
-  return false;
-}
-
-ccl_device_inline float background_portal_pdf(
-    KernelGlobals kg, float3 P, float3 direction, int ignore_portal, ccl_private bool *is_possible)
-{
-  float portal_pdf = 0.0f;
-
-  int num_possible = 0;
-  for (int p = 0; p < kernel_data.background.num_portals; p++) {
-    if (p == ignore_portal)
-      continue;
-
-    float3 lightpos, dir;
-    if (!background_portal_data_fetch_and_check_side(kg, P, p, &lightpos, &dir))
-      continue;
-
-    /* There's a portal that could be sampled from this position. */
-    if (is_possible) {
-      *is_possible = true;
-    }
-    num_possible++;
-
-    int portal = kernel_data.background.portal_offset + p;
-    const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, portal);
-    float3 axisu = make_float3(
-        klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
-    float3 axisv = make_float3(
-        klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
-    bool is_round = (klight->area.invarea < 0.0f);
-
-    if (!ray_quad_intersect(P,
-                            direction,
-                            1e-4f,
-                            FLT_MAX,
-                            lightpos,
-                            axisu,
-                            axisv,
-                            dir,
-                            NULL,
-                            NULL,
-                            NULL,
-                            NULL,
-                            is_round))
-      continue;
-
-    if (is_round) {
-      float t;
-      float3 D = normalize_len(lightpos - P, &t);
-      portal_pdf += fabsf(klight->area.invarea) * lamp_light_pdf(kg, dir, -D, t);
-    }
-    else {
-      portal_pdf += rect_light_sample(P, &lightpos, axisu, axisv, 0.0f, 0.0f, false);
-    }
-  }
-
-  if (ignore_portal >= 0) {
-    /* We have skipped a portal that could be sampled as well. */
-    num_possible++;
-  }
-
-  return (num_possible > 0) ? portal_pdf / num_possible : 0.0f;
-}
-
-ccl_device int background_num_possible_portals(KernelGlobals kg, float3 P)
-{
-  int num_possible_portals = 0;
-  for (int p = 0; p < kernel_data.background.num_portals; p++) {
-    float3 lightpos, dir;
-    if (background_portal_data_fetch_and_check_side(kg, P, p, &lightpos, &dir))
-      num_possible_portals++;
-  }
-  return num_possible_portals;
-}
-
-ccl_device float3 background_portal_sample(KernelGlobals kg,
-                                           float3 P,
-                                           float randu,
-                                           float randv,
-                                           int num_possible,
-                                           ccl_private int *sampled_portal,
-                                           ccl_private float *pdf)
-{
-  /* Pick a portal, then re-normalize randv. */
-  randv *= num_possible;
-  int portal = (int)randv;
-  randv -= portal;
-
-  /* TODO(sergey): Some smarter way of finding portal to sample
-   * is welcome.
-   */
-  for (int p = 0; p < kernel_data.background.num_portals; p++) {
-    /* Search for the sampled portal. */
-    float3 lightpos, dir;
-    if (!background_portal_data_fetch_and_check_side(kg, P, p, &lightpos, &dir))
-      continue;
-
-    if (portal == 0) {
-      /* p is the portal to be sampled. */
-      int portal = kernel_data.background.portal_offset + p;
-      const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, portal);
-      float3 axisu = make_float3(
-          klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
-      float3 axisv = make_float3(
-          klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
-      bool is_round = (klight->area.invarea < 0.0f);
-
-      float3 D;
-      if (is_round) {
-        lightpos += ellipse_sample(axisu * 0.5f, axisv * 0.5f, randu, randv);
-        float t;
-        D = normalize_len(lightpos - P, &t);
-        *pdf = fabsf(klight->area.invarea) * lamp_light_pdf(kg, dir, -D, t);
-      }
-      else {
-        *pdf = rect_light_sample(P, &lightpos, axisu, axisv, randu, randv, true);
-        D = normalize(lightpos - P);
-      }
-
-      *pdf /= num_possible;
-      *sampled_portal = p;
-      return D;
-    }
-
-    portal--;
-  }
-
-  return zero_float3();
-}
-
-ccl_device_inline float3 background_sun_sample(KernelGlobals kg,
-                                               float randu,
-                                               float randv,
-                                               ccl_private float *pdf)
-{
-  float3 D;
-  const float3 N = float4_to_float3(kernel_data.background.sun);
-  const float angle = kernel_data.background.sun.w;
-  sample_uniform_cone(N, angle, randu, randv, &D, pdf);
-  return D;
-}
-
-ccl_device_inline float background_sun_pdf(KernelGlobals kg, float3 D)
-{
-  const float3 N = float4_to_float3(kernel_data.background.sun);
-  const float angle = kernel_data.background.sun.w;
-  return pdf_uniform_cone(N, D, angle);
-}
-
-ccl_device_inline float3 background_light_sample(
-    KernelGlobals kg, float3 P, float randu, float randv, ccl_private float *pdf)
-{
-  float portal_method_pdf = kernel_data.background.portal_weight;
-  float sun_method_pdf = kernel_data.background.sun_weight;
-  float map_method_pdf = kernel_data.background.map_weight;
-
-  int num_portals = 0;
-  if (portal_method_pdf > 0.0f) {
-    /* Check if there are portals in the scene which we can sample. */
-    num_portals = background_num_possible_portals(kg, P);
-    if (num_portals == 0) {
-      portal_method_pdf = 0.0f;
-    }
-  }
-
-  float pdf_fac = (portal_method_pdf + sun_method_pdf + map_method_pdf);
-  if (pdf_fac == 0.0f) {
-    /* Use uniform as a fallback if we can't use any strategy. */
-    *pdf = 1.0f / M_4PI_F;
-    return sample_uniform_sphere(randu, randv);
-  }
-
-  pdf_fac = 1.0f / pdf_fac;
-  portal_method_pdf *= pdf_fac;
-  sun_method_pdf *= pdf_fac;
-  map_method_pdf *= pdf_fac;
-
-  /* We have 100% in total and split it between the three categories.
-   * Therefore, we pick portals if randu is between 0 and portal_method_pdf,
-   * sun if randu is between portal_method_pdf and (portal_method_pdf + sun_method_pdf)
-   * and map if randu is between (portal_method_pdf + sun_method_pdf) and 1. */
-  float sun_method_cdf = portal_method_pdf + sun_method_pdf;
-
-  int method = 0;
-  float3 D;
-  if (randu < portal_method_pdf) {
-    method = 0;
-    /* Rescale randu. */
-    if (portal_method_pdf != 1.0f) {
-      randu /= portal_method_pdf;
-    }
-
-    /* Sample a portal. */
-    int portal;
-    D = background_portal_sample(kg, P, randu, randv, num_portals, &portal, pdf);
-    if (num_portals > 1) {
-      /* Ignore the chosen portal, its pdf is already included. */
-      *pdf += background_portal_pdf(kg, P, D, portal, NULL);
-    }
-
-    /* Skip MIS if this is the only method. */
-    if (portal_method_pdf == 1.0f) {
-      return D;
-    }
-    *pdf *= portal_method_pdf;
-  }
-  else if (randu < sun_method_cdf) {
-    method = 1;
-    /* Rescale randu. */
-    if (sun_method_pdf != 1.0f) {
-      randu = (randu - portal_method_pdf) / sun_method_pdf;
-    }
-
-    D = background_sun_sample(kg, randu, randv, pdf);
-
-    /* Skip MIS if this is the only method. */
-    if (sun_method_pdf == 1.0f) {
-      return D;
-    }
-    *pdf *= sun_method_pdf;
-  }
-  else {
-    method = 2;
-    /* Rescale randu. */
-    if (map_method_pdf != 1.0f) {
-      randu = (randu - sun_method_cdf) / map_method_pdf;
-    }
-
-    D = background_map_sample(kg, randu, randv, pdf);
-
-    /* Skip MIS if this is the only method. */
-    if (map_method_pdf == 1.0f) {
-      return D;
-    }
-    *pdf *= map_method_pdf;
-  }
-
-  /* MIS weighting. */
-  if (method != 0 && portal_method_pdf != 0.0f) {
-    *pdf += portal_method_pdf * background_portal_pdf(kg, P, D, -1, NULL);
-  }
-  if (method != 1 && sun_method_pdf != 0.0f) {
-    *pdf += sun_method_pdf * background_sun_pdf(kg, D);
-  }
-  if (method != 2 && map_method_pdf != 0.0f) {
-    *pdf += map_method_pdf * background_map_pdf(kg, D);
-  }
-  return D;
-}
-
-ccl_device float background_light_pdf(KernelGlobals kg, float3 P, float3 direction)
-{
-  float portal_method_pdf = kernel_data.background.portal_weight;
-  float sun_method_pdf = kernel_data.background.sun_weight;
-  float map_method_pdf = kernel_data.background.map_weight;
-
-  float portal_pdf = 0.0f;
-  /* Portals are a special case here since we need to compute their pdf in order
-   * to find out if we can sample them. */
-  if (portal_method_pdf > 0.0f) {
-    /* Evaluate PDF of sampling this direction by portal sampling. */
-    bool is_possible = false;
-    portal_pdf = background_portal_pdf(kg, P, direction, -1, &is_possible);
-    if (!is_possible) {
-      /* Portal sampling is not possible here because all portals point to the wrong side.
-       * If other methods can be used instead, do so, otherwise uniform sampling is used as a
-       * fallback. */
-      portal_method_pdf = 0.0f;
-    }
-  }
-
-  float pdf_fac = (portal_method_pdf + sun_method_pdf + map_method_pdf);
-  if (pdf_fac == 0.0f) {
-    /* Use uniform as a fallback if we can't use any strategy. */
-    return kernel_data.integrator.pdf_lights / M_4PI_F;
-  }
-
-  pdf_fac = 1.0f / pdf_fac;
-  portal_method_pdf *= pdf_fac;
-  sun_method_pdf *= pdf_fac;
-  map_method_pdf *= pdf_fac;
-
-  float pdf = portal_pdf * portal_method_pdf;
-  if (sun_method_pdf != 0.0f) {
-    pdf += background_sun_pdf(kg, direction) * sun_method_pdf;
-  }
-  if (map_method_pdf != 0.0f) {
-    pdf += background_map_pdf(kg, direction) * map_method_pdf;
-  }
-
-  return pdf * kernel_data.integrator.pdf_lights;
-}
-
-#endif
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_light_common.h b/intern/cycles/kernel/kernel_light_common.h
deleted file mode 100644
index 9e2b738f376..00000000000
--- a/intern/cycles/kernel/kernel_light_common.h
+++ /dev/null
@@ -1,227 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel_montecarlo.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Area light sampling */
-
-/* Uses the following paper:
- *
- * Carlos Urena et al.
- * An Area-Preserving Parametrization for Spherical Rectangles.
- *
- * https://www.solidangle.com/research/egsr2013_spherical_rectangle.pdf
- *
- * Note: light_p is modified when sample_coord is true.
- */
-ccl_device_inline float rect_light_sample(float3 P,
-                                          ccl_private float3 *light_p,
-                                          float3 axisu,
-                                          float3 axisv,
-                                          float randu,
-                                          float randv,
-                                          bool sample_coord)
-{
-  /* In our name system we're using P for the center,
-   * which is o in the paper.
-   */
-
-  float3 corner = *light_p - axisu * 0.5f - axisv * 0.5f;
-  float axisu_len, axisv_len;
-  /* Compute local reference system R. */
-  float3 x = normalize_len(axisu, &axisu_len);
-  float3 y = normalize_len(axisv, &axisv_len);
-  float3 z = cross(x, y);
-  /* Compute rectangle coords in local reference system. */
-  float3 dir = corner - P;
-  float z0 = dot(dir, z);
-  /* Flip 'z' to make it point against Q. */
-  if (z0 > 0.0f) {
-    z *= -1.0f;
-    z0 *= -1.0f;
-  }
-  float x0 = dot(dir, x);
-  float y0 = dot(dir, y);
-  float x1 = x0 + axisu_len;
-  float y1 = y0 + axisv_len;
-  /* Compute internal angles (gamma_i). */
-  float4 diff = make_float4(x0, y1, x1, y0) - make_float4(x1, y0, x0, y1);
-  float4 nz = make_float4(y0, x1, y1, x0) * diff;
-  nz = nz / sqrt(z0 * z0 * diff * diff + nz * nz);
-  float g0 = safe_acosf(-nz.x * nz.y);
-  float g1 = safe_acosf(-nz.y * nz.z);
-  float g2 = safe_acosf(-nz.z * nz.w);
-  float g3 = safe_acosf(-nz.w * nz.x);
-  /* Compute predefined constants. */
-  float b0 = nz.x;
-  float b1 = nz.z;
-  float b0sq = b0 * b0;
-  float k = M_2PI_F - g2 - g3;
-  /* Compute solid angle from internal angles. */
-  float S = g0 + g1 - k;
-
-  if (sample_coord) {
-    /* Compute cu. */
-    float au = randu * S + k;
-    float fu = (cosf(au) * b0 - b1) / sinf(au);
-    float cu = 1.0f / sqrtf(fu * fu + b0sq) * (fu > 0.0f ? 1.0f : -1.0f);
-    cu = clamp(cu, -1.0f, 1.0f);
-    /* Compute xu. */
-    float xu = -(cu * z0) / max(sqrtf(1.0f - cu * cu), 1e-7f);
-    xu = clamp(xu, x0, x1);
-    /* Compute yv. */
-    float z0sq = z0 * z0;
-    float y0sq = y0 * y0;
-    float y1sq = y1 * y1;
-    float d = sqrtf(xu * xu + z0sq);
-    float h0 = y0 / sqrtf(d * d + y0sq);
-    float h1 = y1 / sqrtf(d * d + y1sq);
-    float hv = h0 + randv * (h1 - h0), hv2 = hv * hv;
-    float yv = (hv2 < 1.0f - 1e-6f) ? (hv * d) / sqrtf(1.0f - hv2) : y1;
-
-    /* Transform (xu, yv, z0) to world coords. */
-    *light_p = P + xu * x + yv * y + z0 * z;
-  }
-
-  /* return pdf */
-  if (S != 0.0f)
-    return 1.0f / S;
-  else
-    return 0.0f;
-}
-
-ccl_device_inline float3 ellipse_sample(float3 ru, float3 rv, float randu, float randv)
-{
-  to_unit_disk(&randu, &randv);
-  return ru * randu + rv * randv;
-}
-
-ccl_device float3 disk_light_sample(float3 v, float randu, float randv)
-{
-  float3 ru, rv;
-
-  make_orthonormals(v, &ru, &rv);
-
-  return ellipse_sample(ru, rv, randu, randv);
-}
-
-ccl_device float3 distant_light_sample(float3 D, float radius, float randu, float randv)
-{
-  return normalize(D + disk_light_sample(D, randu, randv) * radius);
-}
-
-ccl_device float3
-sphere_light_sample(float3 P, float3 center, float radius, float randu, float randv)
-{
-  return disk_light_sample(normalize(P - center), randu, randv) * radius;
-}
-
-ccl_device float spot_light_attenuation(float3 dir, float spot_angle, float spot_smooth, float3 N)
-{
-  float attenuation = dot(dir, N);
-
-  if (attenuation <= spot_angle) {
-    attenuation = 0.0f;
-  }
-  else {
-    float t = attenuation - spot_angle;
-
-    if (t < spot_smooth && spot_smooth != 0.0f)
-      attenuation *= smoothstepf(t / spot_smooth);
-  }
-
-  return attenuation;
-}
-
-ccl_device float light_spread_attenuation(const float3 D,
-                                          const float3 lightNg,
-                                          const float tan_spread,
-                                          const float normalize_spread)
-{
-  /* Model a soft-box grid, computing the ratio of light not hidden by the
-   * slats of the grid at a given angle. (see D10594). */
-  const float cos_a = -dot(D, lightNg);
-  const float sin_a = safe_sqrtf(1.0f - sqr(cos_a));
-  const float tan_a = sin_a / cos_a;
-  return max((1.0f - (tan_spread * tan_a)) * normalize_spread, 0.0f);
-}
-
-/* Compute subset of area light that actually has an influence on the shading point, to
- * reduce noise with low spread. */
-ccl_device bool light_spread_clamp_area_light(const float3 P,
-                                              const float3 lightNg,
-                                              ccl_private float3 *lightP,
-                                              ccl_private float3 *axisu,
-                                              ccl_private float3 *axisv,
-                                              const float tan_spread)
-{
-  /* Closest point in area light plane and distance to that plane. */
-  const float3 closest_P = P - dot(lightNg, P - *lightP) * lightNg;
-  const float t = len(closest_P - P);
-
-  /* Radius of circle on area light that actually affects the shading point. */
-  const float radius = t / tan_spread;
-
-  /* TODO: would be faster to store as normalized vector + length, also in rect_light_sample. */
-  float len_u, len_v;
-  const float3 u = normalize_len(*axisu, &len_u);
-  const float3 v = normalize_len(*axisv, &len_v);
-
-  /* Local uv coordinates of closest point. */
-  const float closest_u = dot(u, closest_P - *lightP);
-  const float closest_v = dot(v, closest_P - *lightP);
-
-  /* Compute rectangle encompassing the circle that affects the shading point,
-   * clamped to the bounds of the area light. */
-  const float min_u = max(closest_u - radius, -len_u * 0.5f);
-  const float max_u = min(closest_u + radius, len_u * 0.5f);
-  const float min_v = max(closest_v - radius, -len_v * 0.5f);
-  const float max_v = min(closest_v + radius, len_v * 0.5f);
-
-  /* Skip if rectangle is empty. */
-  if (min_u >= max_u || min_v >= max_v) {
-    return false;
-  }
-
-  /* Compute new area light center position and axes from rectangle in local
-   * uv coordinates. */
-  const float new_center_u = 0.5f * (min_u + max_u);
-  const float new_center_v = 0.5f * (min_v + max_v);
-  const float new_len_u = max_u - min_u;
-  const float new_len_v = max_v - min_v;
-
-  *lightP = *lightP + new_center_u * u + new_center_v * v;
-  *axisu = u * new_len_u;
-  *axisv = v * new_len_v;
-
-  return true;
-}
-
-ccl_device float lamp_light_pdf(KernelGlobals kg, const float3 Ng, const float3 I, float t)
-{
-  float cos_pi = dot(Ng, I);
-
-  if (cos_pi <= 0.0f)
-    return 0.0f;
-
-  return t * t / cos_pi;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_lookup_table.h b/intern/cycles/kernel/kernel_lookup_table.h
deleted file mode 100644
index 2c26e668d7b..00000000000
--- a/intern/cycles/kernel/kernel_lookup_table.h
+++ /dev/null
@@ -1,56 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-CCL_NAMESPACE_BEGIN
-
-/* Interpolated lookup table access */
-
-ccl_device float lookup_table_read(KernelGlobals kg, float x, int offset, int size)
-{
-  x = saturate(x) * (size - 1);
-
-  int index = min(float_to_int(x), size - 1);
-  int nindex = min(index + 1, size - 1);
-  float t = x - index;
-
-  float data0 = kernel_tex_fetch(__lookup_table, index + offset);
-  if (t == 0.0f)
-    return data0;
-
-  float data1 = kernel_tex_fetch(__lookup_table, nindex + offset);
-  return (1.0f - t) * data0 + t * data1;
-}
-
-ccl_device float lookup_table_read_2D(
-    KernelGlobals kg, float x, float y, int offset, int xsize, int ysize)
-{
-  y = saturate(y) * (ysize - 1);
-
-  int index = min(float_to_int(y), ysize - 1);
-  int nindex = min(index + 1, ysize - 1);
-  float t = y - index;
-
-  float data0 = lookup_table_read(kg, x, offset + xsize * index, xsize);
-  if (t == 0.0f)
-    return data0;
-
-  float data1 = lookup_table_read(kg, x, offset + xsize * nindex, xsize);
-  return (1.0f - t) * data0 + t * data1;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_math.h b/intern/cycles/kernel/kernel_math.h
deleted file mode 100644
index 3c5ab95bbc8..00000000000
--- a/intern/cycles/kernel/kernel_math.h
+++ /dev/null
@@ -1,25 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "util/util_color.h"
-#include "util/util_math.h"
-#include "util/util_math_fast.h"
-#include "util/util_math_intersect.h"
-#include "util/util_projection.h"
-#include "util/util_texture.h"
-#include "util/util_transform.h"
diff --git a/intern/cycles/kernel/kernel_montecarlo.h b/intern/cycles/kernel/kernel_montecarlo.h
deleted file mode 100644
index c931aa45276..00000000000
--- a/intern/cycles/kernel/kernel_montecarlo.h
+++ /dev/null
@@ -1,308 +0,0 @@
-/*
- * Parts adapted from Open Shading Language with this license:
- *
- * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
- * All Rights Reserved.
- *
- * Modifications Copyright 2011, Blender Foundation.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are
- * met:
- * * Redistributions of source code must retain the above copyright
- *   notice, this list of conditions and the following disclaimer.
- * * Redistributions in binary form must reproduce the above copyright
- *   notice, this list of conditions and the following disclaimer in the
- *   documentation and/or other materials provided with the distribution.
- * * Neither the name of Sony Pictures Imageworks nor the names of its
- *   contributors may be used to endorse or promote products derived from
- *   this software without specific prior written permission.
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
- * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
- * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
- * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
- * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
- * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#pragma once
-
-CCL_NAMESPACE_BEGIN
-
-/* distribute uniform xy on [0,1] over unit disk [-1,1] */
-ccl_device void to_unit_disk(ccl_private float *x, ccl_private float *y)
-{
-  float phi = M_2PI_F * (*x);
-  float r = sqrtf(*y);
-
-  *x = r * cosf(phi);
-  *y = r * sinf(phi);
-}
-
-/* return an orthogonal tangent and bitangent given a normal and tangent that
- * may not be exactly orthogonal */
-ccl_device void make_orthonormals_tangent(const float3 N,
-                                          const float3 T,
-                                          ccl_private float3 *a,
-                                          ccl_private float3 *b)
-{
-  *b = normalize(cross(N, T));
-  *a = cross(*b, N);
-}
-
-/* sample direction with cosine weighted distributed in hemisphere */
-ccl_device_inline void sample_cos_hemisphere(
-    const float3 N, float randu, float randv, ccl_private float3 *omega_in, ccl_private float *pdf)
-{
-  to_unit_disk(&randu, &randv);
-  float costheta = sqrtf(max(1.0f - randu * randu - randv * randv, 0.0f));
-  float3 T, B;
-  make_orthonormals(N, &T, &B);
-  *omega_in = randu * T + randv * B + costheta * N;
-  *pdf = costheta * M_1_PI_F;
-}
-
-/* sample direction uniformly distributed in hemisphere */
-ccl_device_inline void sample_uniform_hemisphere(
-    const float3 N, float randu, float randv, ccl_private float3 *omega_in, ccl_private float *pdf)
-{
-  float z = randu;
-  float r = sqrtf(max(0.0f, 1.0f - z * z));
-  float phi = M_2PI_F * randv;
-  float x = r * cosf(phi);
-  float y = r * sinf(phi);
-
-  float3 T, B;
-  make_orthonormals(N, &T, &B);
-  *omega_in = x * T + y * B + z * N;
-  *pdf = 0.5f * M_1_PI_F;
-}
-
-/* sample direction uniformly distributed in cone */
-ccl_device_inline void sample_uniform_cone(const float3 N,
-                                           float angle,
-                                           float randu,
-                                           float randv,
-                                           ccl_private float3 *omega_in,
-                                           ccl_private float *pdf)
-{
-  float zMin = cosf(angle);
-  float z = zMin - zMin * randu + randu;
-  float r = safe_sqrtf(1.0f - sqr(z));
-  float phi = M_2PI_F * randv;
-  float x = r * cosf(phi);
-  float y = r * sinf(phi);
-
-  float3 T, B;
-  make_orthonormals(N, &T, &B);
-  *omega_in = x * T + y * B + z * N;
-  *pdf = M_1_2PI_F / (1.0f - zMin);
-}
-
-ccl_device_inline float pdf_uniform_cone(const float3 N, float3 D, float angle)
-{
-  float zMin = cosf(angle);
-  float z = dot(N, D);
-  if (z > zMin) {
-    return M_1_2PI_F / (1.0f - zMin);
-  }
-  return 0.0f;
-}
-
-/* sample uniform point on the surface of a sphere */
-ccl_device float3 sample_uniform_sphere(float u1, float u2)
-{
-  float z = 1.0f - 2.0f * u1;
-  float r = sqrtf(fmaxf(0.0f, 1.0f - z * z));
-  float phi = M_2PI_F * u2;
-  float x = r * cosf(phi);
-  float y = r * sinf(phi);
-
-  return make_float3(x, y, z);
-}
-
-ccl_device float balance_heuristic(float a, float b)
-{
-  return (a) / (a + b);
-}
-
-ccl_device float balance_heuristic_3(float a, float b, float c)
-{
-  return (a) / (a + b + c);
-}
-
-ccl_device float power_heuristic(float a, float b)
-{
-  return (a * a) / (a * a + b * b);
-}
-
-ccl_device float power_heuristic_3(float a, float b, float c)
-{
-  return (a * a) / (a * a + b * b + c * c);
-}
-
-ccl_device float max_heuristic(float a, float b)
-{
-  return (a > b) ? 1.0f : 0.0f;
-}
-
-/* distribute uniform xy on [0,1] over unit disk [-1,1], with concentric mapping
- * to better preserve stratification for some RNG sequences */
-ccl_device float2 concentric_sample_disk(float u1, float u2)
-{
-  float phi, r;
-  float a = 2.0f * u1 - 1.0f;
-  float b = 2.0f * u2 - 1.0f;
-
-  if (a == 0.0f && b == 0.0f) {
-    return zero_float2();
-  }
-  else if (a * a > b * b) {
-    r = a;
-    phi = M_PI_4_F * (b / a);
-  }
-  else {
-    r = b;
-    phi = M_PI_2_F - M_PI_4_F * (a / b);
-  }
-
-  return make_float2(r * cosf(phi), r * sinf(phi));
-}
-
-/* sample point in unit polygon with given number of corners and rotation */
-ccl_device float2 regular_polygon_sample(float corners, float rotation, float u, float v)
-{
-  /* sample corner number and reuse u */
-  float corner = floorf(u * corners);
-  u = u * corners - corner;
-
-  /* uniform sampled triangle weights */
-  u = sqrtf(u);
-  v = v * u;
-  u = 1.0f - u;
-
-  /* point in triangle */
-  float angle = M_PI_F / corners;
-  float2 p = make_float2((u + v) * cosf(angle), (u - v) * sinf(angle));
-
-  /* rotate */
-  rotation += corner * 2.0f * angle;
-
-  float cr = cosf(rotation);
-  float sr = sinf(rotation);
-
-  return make_float2(cr * p.x - sr * p.y, sr * p.x + cr * p.y);
-}
-
-ccl_device float3 ensure_valid_reflection(float3 Ng, float3 I, float3 N)
-{
-  float3 R = 2 * dot(N, I) * N - I;
-
-  /* Reflection rays may always be at least as shallow as the incoming ray. */
-  float threshold = min(0.9f * dot(Ng, I), 0.01f);
-  if (dot(Ng, R) >= threshold) {
-    return N;
-  }
-
-  /* Form coordinate system with Ng as the Z axis and N inside the X-Z-plane.
-   * The X axis is found by normalizing the component of N that's orthogonal to Ng.
-   * The Y axis isn't actually needed.
-   */
-  float NdotNg = dot(N, Ng);
-  float3 X = normalize(N - NdotNg * Ng);
-
-  /* Keep math expressions. */
-  /* clang-format off */
-  /* Calculate N.z and N.x in the local coordinate system.
-   *
-   * The goal of this computation is to find a N' that is rotated towards Ng just enough
-   * to lift R' above the threshold (here called t), therefore dot(R', Ng) = t.
-   *
-   * According to the standard reflection equation,
-   * this means that we want dot(2*dot(N', I)*N' - I, Ng) = t.
-   *
-   * Since the Z axis of our local coordinate system is Ng, dot(x, Ng) is just x.z, so we get
-   * 2*dot(N', I)*N'.z - I.z = t.
-   *
-   * The rotation is simple to express in the coordinate system we formed -
-   * since N lies in the X-Z-plane, we know that N' will also lie in the X-Z-plane,
-   * so N'.y = 0 and therefore dot(N', I) = N'.x*I.x + N'.z*I.z .
-   *
-   * Furthermore, we want N' to be normalized, so N'.x = sqrt(1 - N'.z^2).
-   *
-   * With these simplifications,
-   * we get the final equation 2*(sqrt(1 - N'.z^2)*I.x + N'.z*I.z)*N'.z - I.z = t.
-   *
-   * The only unknown here is N'.z, so we can solve for that.
-   *
-   * The equation has four solutions in general:
-   *
-   * N'.z = +-sqrt(0.5*(+-sqrt(I.x^2*(I.x^2 + I.z^2 - t^2)) + t*I.z + I.x^2 + I.z^2)/(I.x^2 + I.z^2))
-   * We can simplify this expression a bit by grouping terms:
-   *
-   * a = I.x^2 + I.z^2
-   * b = sqrt(I.x^2 * (a - t^2))
-   * c = I.z*t + a
-   * N'.z = +-sqrt(0.5*(+-b + c)/a)
-   *
-   * Two solutions can immediately be discarded because they're negative so N' would lie in the
-   * lower hemisphere.
-   */
-  /* clang-format on */
-
-  float Ix = dot(I, X), Iz = dot(I, Ng);
-  float Ix2 = sqr(Ix), Iz2 = sqr(Iz);
-  float a = Ix2 + Iz2;
-
-  float b = safe_sqrtf(Ix2 * (a - sqr(threshold)));
-  float c = Iz * threshold + a;
-
-  /* Evaluate both solutions.
-   * In many cases one can be immediately discarded (if N'.z would be imaginary or larger than
-   * one), so check for that first. If no option is viable (might happen in extreme cases like N
-   * being in the wrong hemisphere), give up and return Ng. */
-  float fac = 0.5f / a;
-  float N1_z2 = fac * (b + c), N2_z2 = fac * (-b + c);
-  bool valid1 = (N1_z2 > 1e-5f) && (N1_z2 <= (1.0f + 1e-5f));
-  bool valid2 = (N2_z2 > 1e-5f) && (N2_z2 <= (1.0f + 1e-5f));
-
-  float2 N_new;
-  if (valid1 && valid2) {
-    /* If both are possible, do the expensive reflection-based check. */
-    float2 N1 = make_float2(safe_sqrtf(1.0f - N1_z2), safe_sqrtf(N1_z2));
-    float2 N2 = make_float2(safe_sqrtf(1.0f - N2_z2), safe_sqrtf(N2_z2));
-
-    float R1 = 2 * (N1.x * Ix + N1.y * Iz) * N1.y - Iz;
-    float R2 = 2 * (N2.x * Ix + N2.y * Iz) * N2.y - Iz;
-
-    valid1 = (R1 >= 1e-5f);
-    valid2 = (R2 >= 1e-5f);
-    if (valid1 && valid2) {
-      /* If both solutions are valid, return the one with the shallower reflection since it will be
-       * closer to the input (if the original reflection wasn't shallow, we would not be in this
-       * part of the function). */
-      N_new = (R1 < R2) ? N1 : N2;
-    }
-    else {
-      /* If only one reflection is valid (= positive), pick that one. */
-      N_new = (R1 > R2) ? N1 : N2;
-    }
-  }
-  else if (valid1 || valid2) {
-    /* Only one solution passes the N'.z criterium, so pick that one. */
-    float Nz2 = valid1 ? N1_z2 : N2_z2;
-    N_new = make_float2(safe_sqrtf(1.0f - Nz2), safe_sqrtf(Nz2));
-  }
-  else {
-    return Ng;
-  }
-
-  return N_new.x * X + N_new.y * Ng;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_passes.h b/intern/cycles/kernel/kernel_passes.h
deleted file mode 100644
index 8ff7750c7d5..00000000000
--- a/intern/cycles/kernel/kernel_passes.h
+++ /dev/null
@@ -1,342 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel/geom/geom.h"
-
-#include "kernel/kernel_id_passes.h"
-#include "kernel/kernel_write_passes.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Get pointer to pixel in render buffer. */
-ccl_device_forceinline ccl_global float *kernel_pass_pixel_render_buffer(
-    KernelGlobals kg, ConstIntegratorState state, ccl_global float *ccl_restrict render_buffer)
-{
-  const uint32_t render_pixel_index = INTEGRATOR_STATE(state, path, render_pixel_index);
-  const uint64_t render_buffer_offset = (uint64_t)render_pixel_index *
-                                        kernel_data.film.pass_stride;
-  return render_buffer + render_buffer_offset;
-}
-
-#ifdef __DENOISING_FEATURES__
-
-ccl_device_forceinline void kernel_write_denoising_features_surface(
-    KernelGlobals kg,
-    IntegratorState state,
-    ccl_private const ShaderData *sd,
-    ccl_global float *ccl_restrict render_buffer)
-{
-  if (!(INTEGRATOR_STATE(state, path, flag) & PATH_RAY_DENOISING_FEATURES)) {
-    return;
-  }
-
-  /* Skip implicitly transparent surfaces. */
-  if (sd->flag & SD_HAS_ONLY_VOLUME) {
-    return;
-  }
-
-  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
-
-  if (kernel_data.film.pass_denoising_depth != PASS_UNUSED) {
-    const float3 denoising_feature_throughput = INTEGRATOR_STATE(
-        state, path, denoising_feature_throughput);
-    const float denoising_depth = ensure_finite(average(denoising_feature_throughput) *
-                                                sd->ray_length);
-    kernel_write_pass_float(buffer + kernel_data.film.pass_denoising_depth, denoising_depth);
-  }
-
-  float3 normal = zero_float3();
-  float3 diffuse_albedo = zero_float3();
-  float3 specular_albedo = zero_float3();
-  float sum_weight = 0.0f, sum_nonspecular_weight = 0.0f;
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (!CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
-      continue;
-    }
-
-    /* All closures contribute to the normal feature, but only diffuse-like ones to the albedo. */
-    normal += sc->N * sc->sample_weight;
-    sum_weight += sc->sample_weight;
-
-    float3 closure_albedo = sc->weight;
-    /* Closures that include a Fresnel term typically have weights close to 1 even though their
-     * actual contribution is significantly lower.
-     * To account for this, we scale their weight by the average fresnel factor (the same is also
-     * done for the sample weight in the BSDF setup, so we don't need to scale that here). */
-    if (CLOSURE_IS_BSDF_MICROFACET_FRESNEL(sc->type)) {
-      ccl_private MicrofacetBsdf *bsdf = (ccl_private MicrofacetBsdf *)sc;
-      closure_albedo *= bsdf->extra->fresnel_color;
-    }
-    else if (sc->type == CLOSURE_BSDF_PRINCIPLED_SHEEN_ID) {
-      ccl_private PrincipledSheenBsdf *bsdf = (ccl_private PrincipledSheenBsdf *)sc;
-      closure_albedo *= bsdf->avg_value;
-    }
-    else if (sc->type == CLOSURE_BSDF_HAIR_PRINCIPLED_ID) {
-      closure_albedo *= bsdf_principled_hair_albedo(sc);
-    }
-
-    if (bsdf_get_specular_roughness_squared(sc) > sqr(0.075f)) {
-      diffuse_albedo += closure_albedo;
-      sum_nonspecular_weight += sc->sample_weight;
-    }
-    else {
-      specular_albedo += closure_albedo;
-    }
-  }
-
-  /* Wait for next bounce if 75% or more sample weight belongs to specular-like closures. */
-  if ((sum_weight == 0.0f) || (sum_nonspecular_weight * 4.0f > sum_weight)) {
-    if (sum_weight != 0.0f) {
-      normal /= sum_weight;
-    }
-
-    if (kernel_data.film.pass_denoising_normal != PASS_UNUSED) {
-      /* Transform normal into camera space. */
-      const Transform worldtocamera = kernel_data.cam.worldtocamera;
-      normal = transform_direction(&worldtocamera, normal);
-
-      const float3 denoising_normal = ensure_finite3(normal);
-      kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_normal, denoising_normal);
-    }
-
-    if (kernel_data.film.pass_denoising_albedo != PASS_UNUSED) {
-      const float3 denoising_feature_throughput = INTEGRATOR_STATE(
-          state, path, denoising_feature_throughput);
-      const float3 denoising_albedo = ensure_finite3(denoising_feature_throughput *
-                                                     diffuse_albedo);
-      kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_albedo, denoising_albedo);
-    }
-
-    INTEGRATOR_STATE_WRITE(state, path, flag) &= ~PATH_RAY_DENOISING_FEATURES;
-  }
-  else {
-    INTEGRATOR_STATE_WRITE(state, path, denoising_feature_throughput) *= specular_albedo;
-  }
-}
-
-ccl_device_forceinline void kernel_write_denoising_features_volume(KernelGlobals kg,
-                                                                   IntegratorState state,
-                                                                   const float3 albedo,
-                                                                   const bool scatter,
-                                                                   ccl_global float *ccl_restrict
-                                                                       render_buffer)
-{
-  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
-  const float3 denoising_feature_throughput = INTEGRATOR_STATE(
-      state, path, denoising_feature_throughput);
-
-  if (scatter && kernel_data.film.pass_denoising_normal != PASS_UNUSED) {
-    /* Assume scatter is sufficiently diffuse to stop writing denoising features. */
-    INTEGRATOR_STATE_WRITE(state, path, flag) &= ~PATH_RAY_DENOISING_FEATURES;
-
-    /* Write view direction as normal. */
-    const float3 denoising_normal = make_float3(0.0f, 0.0f, -1.0f);
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_normal, denoising_normal);
-  }
-
-  if (kernel_data.film.pass_denoising_albedo != PASS_UNUSED) {
-    /* Write albedo. */
-    const float3 denoising_albedo = ensure_finite3(denoising_feature_throughput * albedo);
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_denoising_albedo, denoising_albedo);
-  }
-}
-#endif /* __DENOISING_FEATURES__ */
-
-#ifdef __SHADOW_CATCHER__
-
-/* Write shadow catcher passes on a bounce from the shadow catcher object. */
-ccl_device_forceinline void kernel_write_shadow_catcher_bounce_data(
-    KernelGlobals kg,
-    IntegratorState state,
-    ccl_private const ShaderData *sd,
-    ccl_global float *ccl_restrict render_buffer)
-{
-  if (!kernel_data.integrator.has_shadow_catcher) {
-    return;
-  }
-
-  kernel_assert(kernel_data.film.pass_shadow_catcher_sample_count != PASS_UNUSED);
-  kernel_assert(kernel_data.film.pass_shadow_catcher_matte != PASS_UNUSED);
-
-  if (!kernel_shadow_catcher_is_path_split_bounce(kg, state, sd->object_flag)) {
-    return;
-  }
-
-  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
-
-  /* Count sample for the shadow catcher object. */
-  kernel_write_pass_float(buffer + kernel_data.film.pass_shadow_catcher_sample_count, 1.0f);
-
-  /* Since the split is done, the sample does not contribute to the matte, so accumulate it as
-   * transparency to the matte. */
-  const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
-  kernel_write_pass_float(buffer + kernel_data.film.pass_shadow_catcher_matte + 3,
-                          average(throughput));
-}
-
-#endif /* __SHADOW_CATCHER__ */
-
-ccl_device_inline size_t kernel_write_id_pass(ccl_global float *ccl_restrict buffer,
-                                              size_t depth,
-                                              float id,
-                                              float matte_weight)
-{
-  kernel_write_id_slots(buffer, depth * 2, id, matte_weight);
-  return depth * 4;
-}
-
-ccl_device_inline void kernel_write_data_passes(KernelGlobals kg,
-                                                IntegratorState state,
-                                                ccl_private const ShaderData *sd,
-                                                ccl_global float *ccl_restrict render_buffer)
-{
-#ifdef __PASSES__
-  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
-
-  if (!(path_flag & PATH_RAY_CAMERA)) {
-    return;
-  }
-
-  const int flag = kernel_data.film.pass_flag;
-
-  if (!(flag & PASS_ANY)) {
-    return;
-  }
-
-  ccl_global float *buffer = kernel_pass_pixel_render_buffer(kg, state, render_buffer);
-
-  if (!(path_flag & PATH_RAY_SINGLE_PASS_DONE)) {
-    if (!(sd->flag & SD_TRANSPARENT) || kernel_data.film.pass_alpha_threshold == 0.0f ||
-        average(shader_bsdf_alpha(kg, sd)) >= kernel_data.film.pass_alpha_threshold) {
-      if (INTEGRATOR_STATE(state, path, sample) == 0) {
-        if (flag & PASSMASK(DEPTH)) {
-          const float depth = camera_z_depth(kg, sd->P);
-          kernel_write_pass_float(buffer + kernel_data.film.pass_depth, depth);
-        }
-        if (flag & PASSMASK(OBJECT_ID)) {
-          const float id = object_pass_id(kg, sd->object);
-          kernel_write_pass_float(buffer + kernel_data.film.pass_object_id, id);
-        }
-        if (flag & PASSMASK(MATERIAL_ID)) {
-          const float id = shader_pass_id(kg, sd);
-          kernel_write_pass_float(buffer + kernel_data.film.pass_material_id, id);
-        }
-        if (flag & PASSMASK(POSITION)) {
-          const float3 position = sd->P;
-          kernel_write_pass_float3(buffer + kernel_data.film.pass_position, position);
-        }
-      }
-
-      if (flag & PASSMASK(NORMAL)) {
-        const float3 normal = shader_bsdf_average_normal(kg, sd);
-        kernel_write_pass_float3(buffer + kernel_data.film.pass_normal, normal);
-      }
-      if (flag & PASSMASK(ROUGHNESS)) {
-        const float roughness = shader_bsdf_average_roughness(sd);
-        kernel_write_pass_float(buffer + kernel_data.film.pass_roughness, roughness);
-      }
-      if (flag & PASSMASK(UV)) {
-        const float3 uv = primitive_uv(kg, sd);
-        kernel_write_pass_float3(buffer + kernel_data.film.pass_uv, uv);
-      }
-      if (flag & PASSMASK(MOTION)) {
-        const float4 speed = primitive_motion_vector(kg, sd);
-        kernel_write_pass_float4(buffer + kernel_data.film.pass_motion, speed);
-        kernel_write_pass_float(buffer + kernel_data.film.pass_motion_weight, 1.0f);
-      }
-
-      INTEGRATOR_STATE_WRITE(state, path, flag) |= PATH_RAY_SINGLE_PASS_DONE;
-    }
-  }
-
-  if (kernel_data.film.cryptomatte_passes) {
-    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
-    const float matte_weight = average(throughput) *
-                               (1.0f - average(shader_bsdf_transparency(kg, sd)));
-    if (matte_weight > 0.0f) {
-      ccl_global float *cryptomatte_buffer = buffer + kernel_data.film.pass_cryptomatte;
-      if (kernel_data.film.cryptomatte_passes & CRYPT_OBJECT) {
-        const float id = object_cryptomatte_id(kg, sd->object);
-        cryptomatte_buffer += kernel_write_id_pass(
-            cryptomatte_buffer, kernel_data.film.cryptomatte_depth, id, matte_weight);
-      }
-      if (kernel_data.film.cryptomatte_passes & CRYPT_MATERIAL) {
-        const float id = shader_cryptomatte_id(kg, sd->shader);
-        cryptomatte_buffer += kernel_write_id_pass(
-            cryptomatte_buffer, kernel_data.film.cryptomatte_depth, id, matte_weight);
-      }
-      if (kernel_data.film.cryptomatte_passes & CRYPT_ASSET) {
-        const float id = object_cryptomatte_asset_id(kg, sd->object);
-        cryptomatte_buffer += kernel_write_id_pass(
-            cryptomatte_buffer, kernel_data.film.cryptomatte_depth, id, matte_weight);
-      }
-    }
-  }
-
-  if (flag & PASSMASK(DIFFUSE_COLOR)) {
-    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_diffuse_color,
-                             shader_bsdf_diffuse(kg, sd) * throughput);
-  }
-  if (flag & PASSMASK(GLOSSY_COLOR)) {
-    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_glossy_color,
-                             shader_bsdf_glossy(kg, sd) * throughput);
-  }
-  if (flag & PASSMASK(TRANSMISSION_COLOR)) {
-    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
-    kernel_write_pass_float3(buffer + kernel_data.film.pass_transmission_color,
-                             shader_bsdf_transmission(kg, sd) * throughput);
-  }
-  if (flag & PASSMASK(MIST)) {
-    /* Bring depth into 0..1 range. */
-    const float mist_start = kernel_data.film.mist_start;
-    const float mist_inv_depth = kernel_data.film.mist_inv_depth;
-
-    const float depth = camera_distance(kg, sd->P);
-    float mist = saturate((depth - mist_start) * mist_inv_depth);
-
-    /* Falloff */
-    const float mist_falloff = kernel_data.film.mist_falloff;
-
-    if (mist_falloff == 1.0f)
-      ;
-    else if (mist_falloff == 2.0f)
-      mist = mist * mist;
-    else if (mist_falloff == 0.5f)
-      mist = sqrtf(mist);
-    else
-      mist = powf(mist, mist_falloff);
-
-    /* Modulate by transparency */
-    const float3 throughput = INTEGRATOR_STATE(state, path, throughput);
-    const float3 alpha = shader_bsdf_alpha(kg, sd);
-    const float mist_output = (1.0f - mist) * average(throughput * alpha);
-
-    /* Note that the final value in the render buffer we want is 1 - mist_output,
-     * to avoid having to tracking this in the Integrator state we do the negation
-     * after rendering. */
-    kernel_write_pass_float(buffer + kernel_data.film.pass_mist, mist_output);
-  }
-#endif
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_path_state.h b/intern/cycles/kernel/kernel_path_state.h
deleted file mode 100644
index a0584f0b219..00000000000
--- a/intern/cycles/kernel/kernel_path_state.h
+++ /dev/null
@@ -1,376 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel_random.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Initialize queues, so that the this path is considered terminated.
- * Used for early outputs in the camera ray initialization, as well as initialization of split
- * states for shadow catcher. */
-ccl_device_inline void path_state_init_queues(IntegratorState state)
-{
-  INTEGRATOR_STATE_WRITE(state, path, queued_kernel) = 0;
-#ifdef __KERNEL_CPU__
-  INTEGRATOR_STATE_WRITE(&state->shadow, shadow_path, queued_kernel) = 0;
-  INTEGRATOR_STATE_WRITE(&state->ao, shadow_path, queued_kernel) = 0;
-#endif
-}
-
-/* Minimalistic initialization of the path state, which is needed for early outputs in the
- * integrator initialization to work. */
-ccl_device_inline void path_state_init(IntegratorState state,
-                                       ccl_global const KernelWorkTile *ccl_restrict tile,
-                                       const int x,
-                                       const int y)
-{
-  const uint render_pixel_index = (uint)tile->offset + x + y * tile->stride;
-
-  INTEGRATOR_STATE_WRITE(state, path, render_pixel_index) = render_pixel_index;
-
-  path_state_init_queues(state);
-}
-
-/* Initialize the rest of the path state needed to continue the path integration. */
-ccl_device_inline void path_state_init_integrator(KernelGlobals kg,
-                                                  IntegratorState state,
-                                                  const int sample,
-                                                  const uint rng_hash)
-{
-  INTEGRATOR_STATE_WRITE(state, path, sample) = sample;
-  INTEGRATOR_STATE_WRITE(state, path, bounce) = 0;
-  INTEGRATOR_STATE_WRITE(state, path, diffuse_bounce) = 0;
-  INTEGRATOR_STATE_WRITE(state, path, glossy_bounce) = 0;
-  INTEGRATOR_STATE_WRITE(state, path, transmission_bounce) = 0;
-  INTEGRATOR_STATE_WRITE(state, path, transparent_bounce) = 0;
-  INTEGRATOR_STATE_WRITE(state, path, volume_bounce) = 0;
-  INTEGRATOR_STATE_WRITE(state, path, volume_bounds_bounce) = 0;
-  INTEGRATOR_STATE_WRITE(state, path, rng_hash) = rng_hash;
-  INTEGRATOR_STATE_WRITE(state, path, rng_offset) = PRNG_BASE_NUM;
-  INTEGRATOR_STATE_WRITE(state, path, flag) = PATH_RAY_CAMERA | PATH_RAY_MIS_SKIP |
-                                              PATH_RAY_TRANSPARENT_BACKGROUND;
-  INTEGRATOR_STATE_WRITE(state, path, mis_ray_pdf) = 0.0f;
-  INTEGRATOR_STATE_WRITE(state, path, mis_ray_t) = 0.0f;
-  INTEGRATOR_STATE_WRITE(state, path, min_ray_pdf) = FLT_MAX;
-  INTEGRATOR_STATE_WRITE(state, path, throughput) = make_float3(1.0f, 1.0f, 1.0f);
-
-  if (kernel_data.kernel_features & KERNEL_FEATURE_VOLUME) {
-    INTEGRATOR_STATE_ARRAY_WRITE(state, volume_stack, 0, object) = OBJECT_NONE;
-    INTEGRATOR_STATE_ARRAY_WRITE(
-        state, volume_stack, 0, shader) = kernel_data.background.volume_shader;
-    INTEGRATOR_STATE_ARRAY_WRITE(state, volume_stack, 1, object) = OBJECT_NONE;
-    INTEGRATOR_STATE_ARRAY_WRITE(state, volume_stack, 1, shader) = SHADER_NONE;
-  }
-
-#ifdef __DENOISING_FEATURES__
-  if (kernel_data.kernel_features & KERNEL_FEATURE_DENOISING) {
-    INTEGRATOR_STATE_WRITE(state, path, flag) |= PATH_RAY_DENOISING_FEATURES;
-    INTEGRATOR_STATE_WRITE(state, path, denoising_feature_throughput) = one_float3();
-  }
-#endif
-}
-
-ccl_device_inline void path_state_next(KernelGlobals kg, IntegratorState state, int label)
-{
-  uint32_t flag = INTEGRATOR_STATE(state, path, flag);
-
-  /* ray through transparent keeps same flags from previous ray and is
-   * not counted as a regular bounce, transparent has separate max */
-  if (label & LABEL_TRANSPARENT) {
-    uint32_t transparent_bounce = INTEGRATOR_STATE(state, path, transparent_bounce) + 1;
-
-    flag |= PATH_RAY_TRANSPARENT;
-    if (transparent_bounce >= kernel_data.integrator.transparent_max_bounce) {
-      flag |= PATH_RAY_TERMINATE_ON_NEXT_SURFACE;
-    }
-
-    if (!kernel_data.integrator.transparent_shadows)
-      flag |= PATH_RAY_MIS_SKIP;
-
-    INTEGRATOR_STATE_WRITE(state, path, flag) = flag;
-    INTEGRATOR_STATE_WRITE(state, path, transparent_bounce) = transparent_bounce;
-    /* Random number generator next bounce. */
-    INTEGRATOR_STATE_WRITE(state, path, rng_offset) += PRNG_BOUNCE_NUM;
-    return;
-  }
-
-  uint32_t bounce = INTEGRATOR_STATE(state, path, bounce) + 1;
-  if (bounce >= kernel_data.integrator.max_bounce) {
-    flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
-  }
-
-  flag &= ~(PATH_RAY_ALL_VISIBILITY | PATH_RAY_MIS_SKIP);
-
-#ifdef __VOLUME__
-  if (label & LABEL_VOLUME_SCATTER) {
-    /* volume scatter */
-    flag |= PATH_RAY_VOLUME_SCATTER;
-    flag &= ~PATH_RAY_TRANSPARENT_BACKGROUND;
-    if (bounce == 1) {
-      flag |= PATH_RAY_VOLUME_PASS;
-    }
-
-    const int volume_bounce = INTEGRATOR_STATE(state, path, volume_bounce) + 1;
-    INTEGRATOR_STATE_WRITE(state, path, volume_bounce) = volume_bounce;
-    if (volume_bounce >= kernel_data.integrator.max_volume_bounce) {
-      flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
-    }
-  }
-  else
-#endif
-  {
-    /* surface reflection/transmission */
-    if (label & LABEL_REFLECT) {
-      flag |= PATH_RAY_REFLECT;
-      flag &= ~PATH_RAY_TRANSPARENT_BACKGROUND;
-
-      if (label & LABEL_DIFFUSE) {
-        const int diffuse_bounce = INTEGRATOR_STATE(state, path, diffuse_bounce) + 1;
-        INTEGRATOR_STATE_WRITE(state, path, diffuse_bounce) = diffuse_bounce;
-        if (diffuse_bounce >= kernel_data.integrator.max_diffuse_bounce) {
-          flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
-        }
-      }
-      else {
-        const int glossy_bounce = INTEGRATOR_STATE(state, path, glossy_bounce) + 1;
-        INTEGRATOR_STATE_WRITE(state, path, glossy_bounce) = glossy_bounce;
-        if (glossy_bounce >= kernel_data.integrator.max_glossy_bounce) {
-          flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
-        }
-      }
-    }
-    else {
-      kernel_assert(label & LABEL_TRANSMIT);
-
-      flag |= PATH_RAY_TRANSMIT;
-
-      if (!(label & LABEL_TRANSMIT_TRANSPARENT)) {
-        flag &= ~PATH_RAY_TRANSPARENT_BACKGROUND;
-      }
-
-      const int transmission_bounce = INTEGRATOR_STATE(state, path, transmission_bounce) + 1;
-      INTEGRATOR_STATE_WRITE(state, path, transmission_bounce) = transmission_bounce;
-      if (transmission_bounce >= kernel_data.integrator.max_transmission_bounce) {
-        flag |= PATH_RAY_TERMINATE_AFTER_TRANSPARENT;
-      }
-    }
-
-    /* diffuse/glossy/singular */
-    if (label & LABEL_DIFFUSE) {
-      flag |= PATH_RAY_DIFFUSE | PATH_RAY_DIFFUSE_ANCESTOR;
-    }
-    else if (label & LABEL_GLOSSY) {
-      flag |= PATH_RAY_GLOSSY;
-    }
-    else {
-      kernel_assert(label & LABEL_SINGULAR);
-      flag |= PATH_RAY_GLOSSY | PATH_RAY_SINGULAR | PATH_RAY_MIS_SKIP;
-    }
-
-    /* Render pass categories. */
-    if (bounce == 1) {
-      flag |= (label & LABEL_TRANSMIT) ? PATH_RAY_TRANSMISSION_PASS : PATH_RAY_REFLECT_PASS;
-    }
-  }
-
-  INTEGRATOR_STATE_WRITE(state, path, flag) = flag;
-  INTEGRATOR_STATE_WRITE(state, path, bounce) = bounce;
-
-  /* Random number generator next bounce. */
-  INTEGRATOR_STATE_WRITE(state, path, rng_offset) += PRNG_BOUNCE_NUM;
-}
-
-#ifdef __VOLUME__
-ccl_device_inline bool path_state_volume_next(IntegratorState state)
-{
-  /* For volume bounding meshes we pass through without counting transparent
-   * bounces, only sanity check in case self intersection gets us stuck. */
-  uint32_t volume_bounds_bounce = INTEGRATOR_STATE(state, path, volume_bounds_bounce) + 1;
-  INTEGRATOR_STATE_WRITE(state, path, volume_bounds_bounce) = volume_bounds_bounce;
-  if (volume_bounds_bounce > VOLUME_BOUNDS_MAX) {
-    return false;
-  }
-
-  /* Random number generator next bounce. */
-  if (volume_bounds_bounce > 1) {
-    INTEGRATOR_STATE_WRITE(state, path, rng_offset) += PRNG_BOUNCE_NUM;
-  }
-
-  return true;
-}
-#endif
-
-ccl_device_inline uint path_state_ray_visibility(ConstIntegratorState state)
-{
-  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
-
-  uint32_t visibility = path_flag & PATH_RAY_ALL_VISIBILITY;
-
-  /* For visibility, diffuse/glossy are for reflection only. */
-  if (visibility & PATH_RAY_TRANSMIT) {
-    visibility &= ~(PATH_RAY_DIFFUSE | PATH_RAY_GLOSSY);
-  }
-
-  /* todo: this is not supported as its own ray visibility yet. */
-  if (path_flag & PATH_RAY_VOLUME_SCATTER) {
-    visibility |= PATH_RAY_DIFFUSE;
-  }
-
-  visibility = SHADOW_CATCHER_PATH_VISIBILITY(path_flag, visibility);
-
-  return visibility;
-}
-
-ccl_device_inline float path_state_continuation_probability(KernelGlobals kg,
-                                                            ConstIntegratorState state,
-                                                            const uint32_t path_flag)
-{
-  if (path_flag & PATH_RAY_TRANSPARENT) {
-    const uint32_t transparent_bounce = INTEGRATOR_STATE(state, path, transparent_bounce);
-    /* Do at least specified number of bounces without RR. */
-    if (transparent_bounce <= kernel_data.integrator.transparent_min_bounce) {
-      return 1.0f;
-    }
-  }
-  else {
-    const uint32_t bounce = INTEGRATOR_STATE(state, path, bounce);
-    /* Do at least specified number of bounces without RR. */
-    if (bounce <= kernel_data.integrator.min_bounce) {
-      return 1.0f;
-    }
-  }
-
-  /* Probabilistic termination: use sqrt() to roughly match typical view
-   * transform and do path termination a bit later on average. */
-  return min(sqrtf(max3(fabs(INTEGRATOR_STATE(state, path, throughput)))), 1.0f);
-}
-
-ccl_device_inline bool path_state_ao_bounce(KernelGlobals kg, ConstIntegratorState state)
-{
-  if (!kernel_data.integrator.ao_bounces) {
-    return false;
-  }
-
-  const int bounce = INTEGRATOR_STATE(state, path, bounce) -
-                     INTEGRATOR_STATE(state, path, transmission_bounce) -
-                     (INTEGRATOR_STATE(state, path, glossy_bounce) > 0) + 1;
-  return (bounce > kernel_data.integrator.ao_bounces);
-}
-
-/* Random Number Sampling Utility Functions
- *
- * For each random number in each step of the path we must have a unique
- * dimension to avoid using the same sequence twice.
- *
- * For branches in the path we must be careful not to reuse the same number
- * in a sequence and offset accordingly.
- */
-
-/* RNG State loaded onto stack. */
-typedef struct RNGState {
-  uint rng_hash;
-  uint rng_offset;
-  int sample;
-} RNGState;
-
-ccl_device_inline void path_state_rng_load(ConstIntegratorState state,
-                                           ccl_private RNGState *rng_state)
-{
-  rng_state->rng_hash = INTEGRATOR_STATE(state, path, rng_hash);
-  rng_state->rng_offset = INTEGRATOR_STATE(state, path, rng_offset);
-  rng_state->sample = INTEGRATOR_STATE(state, path, sample);
-}
-
-ccl_device_inline void shadow_path_state_rng_load(ConstIntegratorShadowState state,
-                                                  ccl_private RNGState *rng_state)
-{
-  rng_state->rng_hash = INTEGRATOR_STATE(state, shadow_path, rng_hash);
-  rng_state->rng_offset = INTEGRATOR_STATE(state, shadow_path, rng_offset);
-  rng_state->sample = INTEGRATOR_STATE(state, shadow_path, sample);
-}
-
-ccl_device_inline float path_state_rng_1D(KernelGlobals kg,
-                                          ccl_private const RNGState *rng_state,
-                                          int dimension)
-{
-  return path_rng_1D(
-      kg, rng_state->rng_hash, rng_state->sample, rng_state->rng_offset + dimension);
-}
-
-ccl_device_inline void path_state_rng_2D(KernelGlobals kg,
-                                         ccl_private const RNGState *rng_state,
-                                         int dimension,
-                                         ccl_private float *fx,
-                                         ccl_private float *fy)
-{
-  path_rng_2D(
-      kg, rng_state->rng_hash, rng_state->sample, rng_state->rng_offset + dimension, fx, fy);
-}
-
-ccl_device_inline float path_state_rng_1D_hash(KernelGlobals kg,
-                                               ccl_private const RNGState *rng_state,
-                                               uint hash)
-{
-  /* Use a hash instead of dimension, this is not great but avoids adding
-   * more dimensions to each bounce which reduces quality of dimensions we
-   * are already using. */
-  return path_rng_1D(
-      kg, cmj_hash_simple(rng_state->rng_hash, hash), rng_state->sample, rng_state->rng_offset);
-}
-
-ccl_device_inline float path_branched_rng_1D(KernelGlobals kg,
-                                             ccl_private const RNGState *rng_state,
-                                             int branch,
-                                             int num_branches,
-                                             int dimension)
-{
-  return path_rng_1D(kg,
-                     rng_state->rng_hash,
-                     rng_state->sample * num_branches + branch,
-                     rng_state->rng_offset + dimension);
-}
-
-ccl_device_inline void path_branched_rng_2D(KernelGlobals kg,
-                                            ccl_private const RNGState *rng_state,
-                                            int branch,
-                                            int num_branches,
-                                            int dimension,
-                                            ccl_private float *fx,
-                                            ccl_private float *fy)
-{
-  path_rng_2D(kg,
-              rng_state->rng_hash,
-              rng_state->sample * num_branches + branch,
-              rng_state->rng_offset + dimension,
-              fx,
-              fy);
-}
-
-/* Utility functions to get light termination value,
- * since it might not be needed in many cases.
- */
-ccl_device_inline float path_state_rng_light_termination(KernelGlobals kg,
-                                                         ccl_private const RNGState *state)
-{
-  if (kernel_data.integrator.light_inv_rr_threshold > 0.0f) {
-    return path_state_rng_1D(kg, state, PRNG_LIGHT_TERMINATE);
-  }
-  return 0.0f;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_profiling.h b/intern/cycles/kernel/kernel_profiling.h
deleted file mode 100644
index db8644005ea..00000000000
--- a/intern/cycles/kernel/kernel_profiling.h
+++ /dev/null
@@ -1,40 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#ifdef __KERNEL_CPU__
-#  include "util/util_profiling.h"
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-#ifdef __KERNEL_CPU__
-#  define PROFILING_INIT(kg, event) \
-    ProfilingHelper profiling_helper((ProfilingState *)&kg->profiler, event)
-#  define PROFILING_EVENT(event) profiling_helper.set_event(event)
-#  define PROFILING_INIT_FOR_SHADER(kg, event) \
-    ProfilingWithShaderHelper profiling_helper((ProfilingState *)&kg->profiler, event)
-#  define PROFILING_SHADER(object, shader) \
-    profiling_helper.set_shader(object, (shader)&SHADER_MASK);
-#else
-#  define PROFILING_INIT(kg, event)
-#  define PROFILING_EVENT(event)
-#  define PROFILING_INIT_FOR_SHADER(kg, event)
-#  define PROFILING_SHADER(object, shader)
-#endif /* __KERNEL_CPU__ */
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_projection.h b/intern/cycles/kernel/kernel_projection.h
deleted file mode 100644
index 0aea82fa812..00000000000
--- a/intern/cycles/kernel/kernel_projection.h
+++ /dev/null
@@ -1,258 +0,0 @@
-/*
- * Parts adapted from Open Shading Language with this license:
- *
- * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
- * All Rights Reserved.
- *
- * Modifications Copyright 2011, Blender Foundation.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are
- * met:
- * * Redistributions of source code must retain the above copyright
- *   notice, this list of conditions and the following disclaimer.
- * * Redistributions in binary form must reproduce the above copyright
- *   notice, this list of conditions and the following disclaimer in the
- *   documentation and/or other materials provided with the distribution.
- * * Neither the name of Sony Pictures Imageworks nor the names of its
- *   contributors may be used to endorse or promote products derived from
- *   this software without specific prior written permission.
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
- * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
- * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
- * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
- * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
- * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#pragma once
-
-CCL_NAMESPACE_BEGIN
-
-/* Spherical coordinates <-> Cartesian direction. */
-
-ccl_device float2 direction_to_spherical(float3 dir)
-{
-  float theta = safe_acosf(dir.z);
-  float phi = atan2f(dir.x, dir.y);
-
-  return make_float2(theta, phi);
-}
-
-ccl_device float3 spherical_to_direction(float theta, float phi)
-{
-  float sin_theta = sinf(theta);
-  return make_float3(sin_theta * cosf(phi), sin_theta * sinf(phi), cosf(theta));
-}
-
-/* Equirectangular coordinates <-> Cartesian direction */
-
-ccl_device float2 direction_to_equirectangular_range(float3 dir, float4 range)
-{
-  if (is_zero(dir))
-    return zero_float2();
-
-  float u = (atan2f(dir.y, dir.x) - range.y) / range.x;
-  float v = (acosf(dir.z / len(dir)) - range.w) / range.z;
-
-  return make_float2(u, v);
-}
-
-ccl_device float3 equirectangular_range_to_direction(float u, float v, float4 range)
-{
-  float phi = range.x * u + range.y;
-  float theta = range.z * v + range.w;
-  float sin_theta = sinf(theta);
-  return make_float3(sin_theta * cosf(phi), sin_theta * sinf(phi), cosf(theta));
-}
-
-ccl_device float2 direction_to_equirectangular(float3 dir)
-{
-  return direction_to_equirectangular_range(dir, make_float4(-M_2PI_F, M_PI_F, -M_PI_F, M_PI_F));
-}
-
-ccl_device float3 equirectangular_to_direction(float u, float v)
-{
-  return equirectangular_range_to_direction(u, v, make_float4(-M_2PI_F, M_PI_F, -M_PI_F, M_PI_F));
-}
-
-/* Fisheye <-> Cartesian direction */
-
-ccl_device float2 direction_to_fisheye(float3 dir, float fov)
-{
-  float r = atan2f(sqrtf(dir.y * dir.y + dir.z * dir.z), dir.x) / fov;
-  float phi = atan2f(dir.z, dir.y);
-
-  float u = r * cosf(phi) + 0.5f;
-  float v = r * sinf(phi) + 0.5f;
-
-  return make_float2(u, v);
-}
-
-ccl_device float3 fisheye_to_direction(float u, float v, float fov)
-{
-  u = (u - 0.5f) * 2.0f;
-  v = (v - 0.5f) * 2.0f;
-
-  float r = sqrtf(u * u + v * v);
-
-  if (r > 1.0f)
-    return zero_float3();
-
-  float phi = safe_acosf((r != 0.0f) ? u / r : 0.0f);
-  float theta = r * fov * 0.5f;
-
-  if (v < 0.0f)
-    phi = -phi;
-
-  return make_float3(cosf(theta), -cosf(phi) * sinf(theta), sinf(phi) * sinf(theta));
-}
-
-ccl_device float2 direction_to_fisheye_equisolid(float3 dir, float lens, float width, float height)
-{
-  float theta = safe_acosf(dir.x);
-  float r = 2.0f * lens * sinf(theta * 0.5f);
-  float phi = atan2f(dir.z, dir.y);
-
-  float u = r * cosf(phi) / width + 0.5f;
-  float v = r * sinf(phi) / height + 0.5f;
-
-  return make_float2(u, v);
-}
-
-ccl_device_inline float3
-fisheye_equisolid_to_direction(float u, float v, float lens, float fov, float width, float height)
-{
-  u = (u - 0.5f) * width;
-  v = (v - 0.5f) * height;
-
-  float rmax = 2.0f * lens * sinf(fov * 0.25f);
-  float r = sqrtf(u * u + v * v);
-
-  if (r > rmax)
-    return zero_float3();
-
-  float phi = safe_acosf((r != 0.0f) ? u / r : 0.0f);
-  float theta = 2.0f * asinf(r / (2.0f * lens));
-
-  if (v < 0.0f)
-    phi = -phi;
-
-  return make_float3(cosf(theta), -cosf(phi) * sinf(theta), sinf(phi) * sinf(theta));
-}
-
-/* Mirror Ball <-> Cartesion direction */
-
-ccl_device float3 mirrorball_to_direction(float u, float v)
-{
-  /* point on sphere */
-  float3 dir;
-
-  dir.x = 2.0f * u - 1.0f;
-  dir.z = 2.0f * v - 1.0f;
-
-  if (dir.x * dir.x + dir.z * dir.z > 1.0f)
-    return zero_float3();
-
-  dir.y = -sqrtf(max(1.0f - dir.x * dir.x - dir.z * dir.z, 0.0f));
-
-  /* reflection */
-  float3 I = make_float3(0.0f, -1.0f, 0.0f);
-
-  return 2.0f * dot(dir, I) * dir - I;
-}
-
-ccl_device float2 direction_to_mirrorball(float3 dir)
-{
-  /* inverse of mirrorball_to_direction */
-  dir.y -= 1.0f;
-
-  float div = 2.0f * sqrtf(max(-0.5f * dir.y, 0.0f));
-  if (div > 0.0f)
-    dir /= div;
-
-  float u = 0.5f * (dir.x + 1.0f);
-  float v = 0.5f * (dir.z + 1.0f);
-
-  return make_float2(u, v);
-}
-
-ccl_device_inline float3 panorama_to_direction(ccl_constant KernelCamera *cam, float u, float v)
-{
-  switch (cam->panorama_type) {
-    case PANORAMA_EQUIRECTANGULAR:
-      return equirectangular_range_to_direction(u, v, cam->equirectangular_range);
-    case PANORAMA_MIRRORBALL:
-      return mirrorball_to_direction(u, v);
-    case PANORAMA_FISHEYE_EQUIDISTANT:
-      return fisheye_to_direction(u, v, cam->fisheye_fov);
-    case PANORAMA_FISHEYE_EQUISOLID:
-    default:
-      return fisheye_equisolid_to_direction(
-          u, v, cam->fisheye_lens, cam->fisheye_fov, cam->sensorwidth, cam->sensorheight);
-  }
-}
-
-ccl_device_inline float2 direction_to_panorama(ccl_constant KernelCamera *cam, float3 dir)
-{
-  switch (cam->panorama_type) {
-    case PANORAMA_EQUIRECTANGULAR:
-      return direction_to_equirectangular_range(dir, cam->equirectangular_range);
-    case PANORAMA_MIRRORBALL:
-      return direction_to_mirrorball(dir);
-    case PANORAMA_FISHEYE_EQUIDISTANT:
-      return direction_to_fisheye(dir, cam->fisheye_fov);
-    case PANORAMA_FISHEYE_EQUISOLID:
-    default:
-      return direction_to_fisheye_equisolid(
-          dir, cam->fisheye_lens, cam->sensorwidth, cam->sensorheight);
-  }
-}
-
-ccl_device_inline void spherical_stereo_transform(ccl_constant KernelCamera *cam,
-                                                  ccl_private float3 *P,
-                                                  ccl_private float3 *D)
-{
-  float interocular_offset = cam->interocular_offset;
-
-  /* Interocular offset of zero means either non stereo, or stereo without
-   * spherical stereo. */
-  kernel_assert(interocular_offset != 0.0f);
-
-  if (cam->pole_merge_angle_to > 0.0f) {
-    const float pole_merge_angle_from = cam->pole_merge_angle_from,
-                pole_merge_angle_to = cam->pole_merge_angle_to;
-    float altitude = fabsf(safe_asinf((*D).z));
-    if (altitude > pole_merge_angle_to) {
-      interocular_offset = 0.0f;
-    }
-    else if (altitude > pole_merge_angle_from) {
-      float fac = (altitude - pole_merge_angle_from) /
-                  (pole_merge_angle_to - pole_merge_angle_from);
-      float fade = cosf(fac * M_PI_2_F);
-      interocular_offset *= fade;
-    }
-  }
-
-  float3 up = make_float3(0.0f, 0.0f, 1.0f);
-  float3 side = normalize(cross(*D, up));
-  float3 stereo_offset = side * interocular_offset;
-
-  *P += stereo_offset;
-
-  /* Convergence distance is FLT_MAX in the case of parallel convergence mode,
-   * no need to modify direction in this case either. */
-  const float convergence_distance = cam->convergence_distance;
-
-  if (convergence_distance != FLT_MAX) {
-    float3 screen_offset = convergence_distance * (*D);
-    *D = normalize(screen_offset - stereo_offset);
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_random.h b/intern/cycles/kernel/kernel_random.h
deleted file mode 100644
index e5e87453611..00000000000
--- a/intern/cycles/kernel/kernel_random.h
+++ /dev/null
@@ -1,216 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-#pragma once
-
-#include "kernel/kernel_jitter.h"
-#include "util/util_hash.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Pseudo random numbers, uncomment this for debugging correlations. Only run
- * this single threaded on a CPU for repeatable results. */
-//#define __DEBUG_CORRELATION__
-
-/* High Dimensional Sobol.
- *
- * Multidimensional sobol with generator matrices. Dimension 0 and 1 are equal
- * to classic Van der Corput and Sobol sequences. */
-
-#ifdef __SOBOL__
-
-/* Skip initial numbers that for some dimensions have clear patterns that
- * don't cover the entire sample space. Ideally we would have a better
- * progressive pattern that doesn't suffer from this problem, because even
- * with this offset some dimensions are quite poor.
- */
-#  define SOBOL_SKIP 64
-
-ccl_device uint sobol_dimension(KernelGlobals kg, int index, int dimension)
-{
-  uint result = 0;
-  uint i = index + SOBOL_SKIP;
-  for (int j = 0, x; (x = find_first_set(i)); i >>= x) {
-    j += x;
-    result ^= __float_as_uint(kernel_tex_fetch(__sample_pattern_lut, 32 * dimension + j - 1));
-  }
-  return result;
-}
-
-#endif /* __SOBOL__ */
-
-ccl_device_forceinline float path_rng_1D(KernelGlobals kg,
-                                         uint rng_hash,
-                                         int sample,
-                                         int dimension)
-{
-#ifdef __DEBUG_CORRELATION__
-  return (float)drand48();
-#endif
-
-#ifdef __SOBOL__
-  if (kernel_data.integrator.sampling_pattern == SAMPLING_PATTERN_PMJ)
-#endif
-  {
-    return pmj_sample_1D(kg, sample, rng_hash, dimension);
-  }
-
-#ifdef __SOBOL__
-  /* Sobol sequence value using direction vectors. */
-  uint result = sobol_dimension(kg, sample, dimension);
-  float r = (float)result * (1.0f / (float)0xFFFFFFFF);
-
-  /* Cranly-Patterson rotation using rng seed */
-  float shift;
-
-  /* Hash rng with dimension to solve correlation issues.
-   * See T38710, T50116.
-   */
-  uint tmp_rng = cmj_hash_simple(dimension, rng_hash);
-  shift = tmp_rng * (1.0f / (float)0xFFFFFFFF);
-
-  return r + shift - floorf(r + shift);
-#endif
-}
-
-ccl_device_forceinline void path_rng_2D(KernelGlobals kg,
-                                        uint rng_hash,
-                                        int sample,
-                                        int dimension,
-                                        ccl_private float *fx,
-                                        ccl_private float *fy)
-{
-#ifdef __DEBUG_CORRELATION__
-  *fx = (float)drand48();
-  *fy = (float)drand48();
-  return;
-#endif
-
-#ifdef __SOBOL__
-  if (kernel_data.integrator.sampling_pattern == SAMPLING_PATTERN_PMJ)
-#endif
-  {
-    pmj_sample_2D(kg, sample, rng_hash, dimension, fx, fy);
-
-    return;
-  }
-
-#ifdef __SOBOL__
-  /* Sobol. */
-  *fx = path_rng_1D(kg, rng_hash, sample, dimension);
-  *fy = path_rng_1D(kg, rng_hash, sample, dimension + 1);
-#endif
-}
-
-/**
- * 1D hash recommended from "Hash Functions for GPU Rendering" JCGT Vol. 9, No. 3, 2020
- * See https://www.shadertoy.com/view/4tXyWN and https://www.shadertoy.com/view/XlGcRh
- * http://www.jcgt.org/published/0009/03/02/paper.pdf
- */
-ccl_device_inline uint hash_iqint1(uint n)
-{
-  n = (n << 13U) ^ n;
-  n = n * (n * n * 15731U + 789221U) + 1376312589U;
-
-  return n;
-}
-
-/**
- * 2D hash recommended from "Hash Functions for GPU Rendering" JCGT Vol. 9, No. 3, 2020
- * See https://www.shadertoy.com/view/4tXyWN and https://www.shadertoy.com/view/XlGcRh
- * http://www.jcgt.org/published/0009/03/02/paper.pdf
- */
-ccl_device_inline uint hash_iqnt2d(const uint x, const uint y)
-{
-  const uint qx = 1103515245U * ((x >> 1U) ^ (y));
-  const uint qy = 1103515245U * ((y >> 1U) ^ (x));
-  const uint n = 1103515245U * ((qx) ^ (qy >> 3U));
-
-  return n;
-}
-
-ccl_device_inline uint path_rng_hash_init(KernelGlobals kg,
-                                          const int sample,
-                                          const int x,
-                                          const int y)
-{
-  const uint rng_hash = hash_iqnt2d(x, y) ^ kernel_data.integrator.seed;
-
-#ifdef __DEBUG_CORRELATION__
-  srand48(rng_hash + sample);
-#else
-  (void)sample;
-#endif
-
-  return rng_hash;
-}
-
-/* Linear Congruential Generator */
-
-ccl_device uint lcg_step_uint(uint *rng)
-{
-  /* implicit mod 2^32 */
-  *rng = (1103515245 * (*rng) + 12345);
-  return *rng;
-}
-
-ccl_device float lcg_step_float(uint *rng)
-{
-  /* implicit mod 2^32 */
-  *rng = (1103515245 * (*rng) + 12345);
-  return (float)*rng * (1.0f / (float)0xFFFFFFFF);
-}
-
-ccl_device uint lcg_init(uint seed)
-{
-  uint rng = seed;
-  lcg_step_uint(&rng);
-  return rng;
-}
-
-ccl_device_inline uint lcg_state_init(const uint rng_hash,
-                                      const uint rng_offset,
-                                      const uint sample,
-                                      const uint scramble)
-{
-  return lcg_init(rng_hash + rng_offset + sample * scramble);
-}
-
-ccl_device_inline bool sample_is_even(int pattern, int sample)
-{
-  if (pattern == SAMPLING_PATTERN_PMJ) {
-    /* See Section 10.2.1, "Progressive Multi-Jittered Sample Sequences", Christensen et al.
-     * We can use this to get divide sample sequence into two classes for easier variance
-     * estimation. */
-#if defined(__GNUC__) && !defined(__KERNEL_GPU__)
-    return __builtin_popcount(sample & 0xaaaaaaaa) & 1;
-#elif defined(__NVCC__)
-    return __popc(sample & 0xaaaaaaaa) & 1;
-#else
-    /* TODO(Stefan): pop-count intrinsic for Windows with fallback for older CPUs. */
-    int i = sample & 0xaaaaaaaa;
-    i = i - ((i >> 1) & 0x55555555);
-    i = (i & 0x33333333) + ((i >> 2) & 0x33333333);
-    i = (((i + (i >> 4)) & 0xF0F0F0F) * 0x1010101) >> 24;
-    return i & 1;
-#endif
-  }
-  else {
-    /* TODO(Stefan): Are there reliable ways of dividing CMJ and Sobol into two classes? */
-    return sample & 0x1;
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_shader.h b/intern/cycles/kernel/kernel_shader.h
deleted file mode 100644
index 22db6d0124e..00000000000
--- a/intern/cycles/kernel/kernel_shader.h
+++ /dev/null
@@ -1,870 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-/* Functions to evaluate shaders and use the resulting shader closures. */
-
-#pragma once
-
-// clang-format off
-#include "kernel/closure/alloc.h"
-#include "kernel/closure/bsdf_util.h"
-#include "kernel/closure/bsdf.h"
-#include "kernel/closure/emissive.h"
-// clang-format on
-
-#include "kernel/kernel_accumulate.h"
-#include "kernel/svm/svm.h"
-
-#ifdef __OSL__
-#  include "kernel/osl/osl_shader.h"
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-/* Merging */
-
-#if defined(__VOLUME__)
-ccl_device_inline void shader_merge_volume_closures(ccl_private ShaderData *sd)
-{
-  /* Merge identical closures to save closure space with stacked volumes. */
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private ShaderClosure *sci = &sd->closure[i];
-
-    if (sci->type != CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID) {
-      continue;
-    }
-
-    for (int j = i + 1; j < sd->num_closure; j++) {
-      ccl_private ShaderClosure *scj = &sd->closure[j];
-      if (sci->type != scj->type) {
-        continue;
-      }
-
-      ccl_private const HenyeyGreensteinVolume *hgi = (ccl_private const HenyeyGreensteinVolume *)
-          sci;
-      ccl_private const HenyeyGreensteinVolume *hgj = (ccl_private const HenyeyGreensteinVolume *)
-          scj;
-      if (!(hgi->g == hgj->g)) {
-        continue;
-      }
-
-      sci->weight += scj->weight;
-      sci->sample_weight += scj->sample_weight;
-
-      int size = sd->num_closure - (j + 1);
-      if (size > 0) {
-        for (int k = 0; k < size; k++) {
-          scj[k] = scj[k + 1];
-        }
-      }
-
-      sd->num_closure--;
-      kernel_assert(sd->num_closure >= 0);
-      j--;
-    }
-  }
-}
-
-ccl_device_inline void shader_copy_volume_phases(ccl_private ShaderVolumePhases *ccl_restrict
-                                                     phases,
-                                                 ccl_private const ShaderData *ccl_restrict sd)
-{
-  phases->num_closure = 0;
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *from_sc = &sd->closure[i];
-    ccl_private const HenyeyGreensteinVolume *from_hg =
-        (ccl_private const HenyeyGreensteinVolume *)from_sc;
-
-    if (from_sc->type == CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID) {
-      ccl_private ShaderVolumeClosure *to_sc = &phases->closure[phases->num_closure];
-
-      to_sc->weight = from_sc->weight;
-      to_sc->sample_weight = from_sc->sample_weight;
-      to_sc->g = from_hg->g;
-      phases->num_closure++;
-      if (phases->num_closure >= MAX_VOLUME_CLOSURE) {
-        break;
-      }
-    }
-  }
-}
-#endif /* __VOLUME__ */
-
-ccl_device_inline void shader_prepare_surface_closures(KernelGlobals kg,
-                                                       ConstIntegratorState state,
-                                                       ccl_private ShaderData *sd)
-{
-  /* Defensive sampling.
-   *
-   * We can likely also do defensive sampling at deeper bounces, particularly
-   * for cases like a perfect mirror but possibly also others. This will need
-   * a good heuristic. */
-  if (INTEGRATOR_STATE(state, path, bounce) + INTEGRATOR_STATE(state, path, transparent_bounce) ==
-          0 &&
-      sd->num_closure > 1) {
-    float sum = 0.0f;
-
-    for (int i = 0; i < sd->num_closure; i++) {
-      ccl_private ShaderClosure *sc = &sd->closure[i];
-      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
-        sum += sc->sample_weight;
-      }
-    }
-
-    for (int i = 0; i < sd->num_closure; i++) {
-      ccl_private ShaderClosure *sc = &sd->closure[i];
-      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
-        sc->sample_weight = max(sc->sample_weight, 0.125f * sum);
-      }
-    }
-  }
-
-  /* Filter glossy.
-   *
-   * Blurring of bsdf after bounces, for rays that have a small likelihood
-   * of following this particular path (diffuse, rough glossy) */
-  if (kernel_data.integrator.filter_glossy != FLT_MAX) {
-    float blur_pdf = kernel_data.integrator.filter_glossy *
-                     INTEGRATOR_STATE(state, path, min_ray_pdf);
-
-    if (blur_pdf < 1.0f) {
-      float blur_roughness = sqrtf(1.0f - blur_pdf) * 0.5f;
-
-      for (int i = 0; i < sd->num_closure; i++) {
-        ccl_private ShaderClosure *sc = &sd->closure[i];
-        if (CLOSURE_IS_BSDF(sc->type)) {
-          bsdf_blur(kg, sc, blur_roughness);
-        }
-      }
-    }
-  }
-}
-
-/* BSDF */
-
-ccl_device_inline bool shader_bsdf_is_transmission(ccl_private const ShaderData *sd,
-                                                   const float3 omega_in)
-{
-  return dot(sd->N, omega_in) < 0.0f;
-}
-
-ccl_device_forceinline bool _shader_bsdf_exclude(ClosureType type, uint light_shader_flags)
-{
-  if (!(light_shader_flags & SHADER_EXCLUDE_ANY)) {
-    return false;
-  }
-  if (light_shader_flags & SHADER_EXCLUDE_DIFFUSE) {
-    if (CLOSURE_IS_BSDF_DIFFUSE(type)) {
-      return true;
-    }
-  }
-  if (light_shader_flags & SHADER_EXCLUDE_GLOSSY) {
-    if (CLOSURE_IS_BSDF_GLOSSY(type)) {
-      return true;
-    }
-  }
-  if (light_shader_flags & SHADER_EXCLUDE_TRANSMIT) {
-    if (CLOSURE_IS_BSDF_TRANSMISSION(type)) {
-      return true;
-    }
-  }
-  return false;
-}
-
-ccl_device_inline float _shader_bsdf_multi_eval(KernelGlobals kg,
-                                                ccl_private ShaderData *sd,
-                                                const float3 omega_in,
-                                                const bool is_transmission,
-                                                ccl_private const ShaderClosure *skip_sc,
-                                                ccl_private BsdfEval *result_eval,
-                                                float sum_pdf,
-                                                float sum_sample_weight,
-                                                const uint light_shader_flags)
-{
-  /* This is the veach one-sample model with balance heuristic,
-   * some PDF factors drop out when using balance heuristic weighting. */
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (sc == skip_sc) {
-      continue;
-    }
-
-    if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
-      if (CLOSURE_IS_BSDF(sc->type) && !_shader_bsdf_exclude(sc->type, light_shader_flags)) {
-        float bsdf_pdf = 0.0f;
-        float3 eval = bsdf_eval(kg, sd, sc, omega_in, is_transmission, &bsdf_pdf);
-
-        if (bsdf_pdf != 0.0f) {
-          const bool is_diffuse = CLOSURE_IS_BSDF_DIFFUSE(sc->type);
-          bsdf_eval_accum(result_eval, is_diffuse, eval * sc->weight, 1.0f);
-          sum_pdf += bsdf_pdf * sc->sample_weight;
-        }
-      }
-
-      sum_sample_weight += sc->sample_weight;
-    }
-  }
-
-  return (sum_sample_weight > 0.0f) ? sum_pdf / sum_sample_weight : 0.0f;
-}
-
-#ifndef __KERNEL_CUDA__
-ccl_device
-#else
-ccl_device_inline
-#endif
-    float
-    shader_bsdf_eval(KernelGlobals kg,
-                     ccl_private ShaderData *sd,
-                     const float3 omega_in,
-                     const bool is_transmission,
-                     ccl_private BsdfEval *bsdf_eval,
-                     const uint light_shader_flags)
-{
-  bsdf_eval_init(bsdf_eval, false, zero_float3());
-
-  return _shader_bsdf_multi_eval(
-      kg, sd, omega_in, is_transmission, NULL, bsdf_eval, 0.0f, 0.0f, light_shader_flags);
-}
-
-/* Randomly sample a BSSRDF or BSDF proportional to ShaderClosure.sample_weight. */
-ccl_device_inline ccl_private const ShaderClosure *shader_bsdf_bssrdf_pick(
-    ccl_private const ShaderData *ccl_restrict sd, ccl_private float *randu)
-{
-  int sampled = 0;
-
-  if (sd->num_closure > 1) {
-    /* Pick a BSDF or based on sample weights. */
-    float sum = 0.0f;
-
-    for (int i = 0; i < sd->num_closure; i++) {
-      ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
-        sum += sc->sample_weight;
-      }
-    }
-
-    float r = (*randu) * sum;
-    float partial_sum = 0.0f;
-
-    for (int i = 0; i < sd->num_closure; i++) {
-      ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
-        float next_sum = partial_sum + sc->sample_weight;
-
-        if (r < next_sum) {
-          sampled = i;
-
-          /* Rescale to reuse for direction sample, to better preserve stratification. */
-          *randu = (r - partial_sum) / sc->sample_weight;
-          break;
-        }
-
-        partial_sum = next_sum;
-      }
-    }
-  }
-
-  return &sd->closure[sampled];
-}
-
-/* Return weight for picked BSSRDF. */
-ccl_device_inline float3
-shader_bssrdf_sample_weight(ccl_private const ShaderData *ccl_restrict sd,
-                            ccl_private const ShaderClosure *ccl_restrict bssrdf_sc)
-{
-  float3 weight = bssrdf_sc->weight;
-
-  if (sd->num_closure > 1) {
-    float sum = 0.0f;
-    for (int i = 0; i < sd->num_closure; i++) {
-      ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-      if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type)) {
-        sum += sc->sample_weight;
-      }
-    }
-    weight *= sum / bssrdf_sc->sample_weight;
-  }
-
-  return weight;
-}
-
-/* Sample direction for picked BSDF, and return evaluation and pdf for all
- * BSDFs combined using MIS. */
-ccl_device int shader_bsdf_sample_closure(KernelGlobals kg,
-                                          ccl_private ShaderData *sd,
-                                          ccl_private const ShaderClosure *sc,
-                                          float randu,
-                                          float randv,
-                                          ccl_private BsdfEval *bsdf_eval,
-                                          ccl_private float3 *omega_in,
-                                          ccl_private differential3 *domega_in,
-                                          ccl_private float *pdf)
-{
-  /* BSSRDF should already have been handled elsewhere. */
-  kernel_assert(CLOSURE_IS_BSDF(sc->type));
-
-  int label;
-  float3 eval = zero_float3();
-
-  *pdf = 0.0f;
-  label = bsdf_sample(kg, sd, sc, randu, randv, &eval, omega_in, domega_in, pdf);
-
-  if (*pdf != 0.0f) {
-    const bool is_diffuse = CLOSURE_IS_BSDF_DIFFUSE(sc->type);
-    bsdf_eval_init(bsdf_eval, is_diffuse, eval * sc->weight);
-
-    if (sd->num_closure > 1) {
-      const bool is_transmission = shader_bsdf_is_transmission(sd, *omega_in);
-      float sweight = sc->sample_weight;
-      *pdf = _shader_bsdf_multi_eval(
-          kg, sd, *omega_in, is_transmission, sc, bsdf_eval, *pdf * sweight, sweight, 0);
-    }
-  }
-
-  return label;
-}
-
-ccl_device float shader_bsdf_average_roughness(ccl_private const ShaderData *sd)
-{
-  float roughness = 0.0f;
-  float sum_weight = 0.0f;
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (CLOSURE_IS_BSDF(sc->type)) {
-      /* sqrt once to undo the squaring from multiplying roughness on the
-       * two axes, and once for the squared roughness convention. */
-      float weight = fabsf(average(sc->weight));
-      roughness += weight * sqrtf(safe_sqrtf(bsdf_get_roughness_squared(sc)));
-      sum_weight += weight;
-    }
-  }
-
-  return (sum_weight > 0.0f) ? roughness / sum_weight : 0.0f;
-}
-
-ccl_device float3 shader_bsdf_transparency(KernelGlobals kg, ccl_private const ShaderData *sd)
-{
-  if (sd->flag & SD_HAS_ONLY_VOLUME) {
-    return one_float3();
-  }
-  else if (sd->flag & SD_TRANSPARENT) {
-    return sd->closure_transparent_extinction;
-  }
-  else {
-    return zero_float3();
-  }
-}
-
-ccl_device void shader_bsdf_disable_transparency(KernelGlobals kg, ccl_private ShaderData *sd)
-{
-  if (sd->flag & SD_TRANSPARENT) {
-    for (int i = 0; i < sd->num_closure; i++) {
-      ccl_private ShaderClosure *sc = &sd->closure[i];
-
-      if (sc->type == CLOSURE_BSDF_TRANSPARENT_ID) {
-        sc->sample_weight = 0.0f;
-        sc->weight = zero_float3();
-      }
-    }
-
-    sd->flag &= ~SD_TRANSPARENT;
-  }
-}
-
-ccl_device float3 shader_bsdf_alpha(KernelGlobals kg, ccl_private const ShaderData *sd)
-{
-  float3 alpha = one_float3() - shader_bsdf_transparency(kg, sd);
-
-  alpha = max(alpha, zero_float3());
-  alpha = min(alpha, one_float3());
-
-  return alpha;
-}
-
-ccl_device float3 shader_bsdf_diffuse(KernelGlobals kg, ccl_private const ShaderData *sd)
-{
-  float3 eval = zero_float3();
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (CLOSURE_IS_BSDF_DIFFUSE(sc->type) || CLOSURE_IS_BSSRDF(sc->type))
-      eval += sc->weight;
-  }
-
-  return eval;
-}
-
-ccl_device float3 shader_bsdf_glossy(KernelGlobals kg, ccl_private const ShaderData *sd)
-{
-  float3 eval = zero_float3();
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (CLOSURE_IS_BSDF_GLOSSY(sc->type))
-      eval += sc->weight;
-  }
-
-  return eval;
-}
-
-ccl_device float3 shader_bsdf_transmission(KernelGlobals kg, ccl_private const ShaderData *sd)
-{
-  float3 eval = zero_float3();
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (CLOSURE_IS_BSDF_TRANSMISSION(sc->type))
-      eval += sc->weight;
-  }
-
-  return eval;
-}
-
-ccl_device float3 shader_bsdf_average_normal(KernelGlobals kg, ccl_private const ShaderData *sd)
-{
-  float3 N = zero_float3();
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-    if (CLOSURE_IS_BSDF_OR_BSSRDF(sc->type))
-      N += sc->N * fabsf(average(sc->weight));
-  }
-
-  return (is_zero(N)) ? sd->N : normalize(N);
-}
-
-ccl_device float3 shader_bsdf_ao(KernelGlobals kg,
-                                 ccl_private const ShaderData *sd,
-                                 const float ao_factor,
-                                 ccl_private float3 *N_)
-{
-  float3 eval = zero_float3();
-  float3 N = zero_float3();
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (CLOSURE_IS_BSDF_DIFFUSE(sc->type)) {
-      ccl_private const DiffuseBsdf *bsdf = (ccl_private const DiffuseBsdf *)sc;
-      eval += sc->weight * ao_factor;
-      N += bsdf->N * fabsf(average(sc->weight));
-    }
-  }
-
-  *N_ = (is_zero(N)) ? sd->N : normalize(N);
-  return eval;
-}
-
-#ifdef __SUBSURFACE__
-ccl_device float3 shader_bssrdf_normal(ccl_private const ShaderData *sd)
-{
-  float3 N = zero_float3();
-
-  for (int i = 0; i < sd->num_closure; i++) {
-    ccl_private const ShaderClosure *sc = &sd->closure[i];
-
-    if (CLOSURE_IS_BSSRDF(sc->type)) {
-      ccl_private const Bssrdf *bssrdf = (ccl_private const Bssrdf *)sc;
-      float avg_weight = fabsf(average(sc->weight));
-
-      N += bssrdf->N * avg_weight;
-    }
-  }
-
-  return (is_zero(N)) ? sd->N : normalize(N);
-}
-#endif /* __SUBSURFACE__ */
-
-/* Constant emission optimization */
-
-ccl_device bool shader_constant_emission_eval(KernelGlobals kg,
-                                              int shader,
-                                              ccl_private float3 *eval)
-{
-  int shader_index = shader & SHADER_MASK;
-  int shader_flag = kernel_tex_fetch(__shaders, shader_index).flags;
-
-  if (shader_flag & SD_HAS_CONSTANT_EMISSION) {
-    *eval = make_float3(kernel_tex_fetch(__shaders, shader_index).constant_emission[0],
-                        kernel_tex_fetch(__shaders, shader_index).constant_emission[1],
-                        kernel_tex_fetch(__shaders, shader_index).constant_emission[2]);
-
-    return true;
-  }
-
-  return false;
-}
-
-/* Background */
-
-ccl_device float3 shader_background_eval(ccl_private const ShaderData *sd)
-{
-  if (sd->flag & SD_EMISSION) {
-    return sd->closure_emission_background;
-  }
-  else {
-    return zero_float3();
-  }
-}
-
-/* Emission */
-
-ccl_device float3 shader_emissive_eval(ccl_private const ShaderData *sd)
-{
-  if (sd->flag & SD_EMISSION) {
-    return emissive_simple_eval(sd->Ng, sd->I) * sd->closure_emission_background;
-  }
-  else {
-    return zero_float3();
-  }
-}
-
-/* Holdout */
-
-ccl_device float3 shader_holdout_apply(KernelGlobals kg, ccl_private ShaderData *sd)
-{
-  float3 weight = zero_float3();
-
-  /* For objects marked as holdout, preserve transparency and remove all other
-   * closures, replacing them with a holdout weight. */
-  if (sd->object_flag & SD_OBJECT_HOLDOUT_MASK) {
-    if ((sd->flag & SD_TRANSPARENT) && !(sd->flag & SD_HAS_ONLY_VOLUME)) {
-      weight = one_float3() - sd->closure_transparent_extinction;
-
-      for (int i = 0; i < sd->num_closure; i++) {
-        ccl_private ShaderClosure *sc = &sd->closure[i];
-        if (!CLOSURE_IS_BSDF_TRANSPARENT(sc->type)) {
-          sc->type = NBUILTIN_CLOSURES;
-        }
-      }
-
-      sd->flag &= ~(SD_CLOSURE_FLAGS - (SD_TRANSPARENT | SD_BSDF));
-    }
-    else {
-      weight = one_float3();
-    }
-  }
-  else {
-    for (int i = 0; i < sd->num_closure; i++) {
-      ccl_private const ShaderClosure *sc = &sd->closure[i];
-      if (CLOSURE_IS_HOLDOUT(sc->type)) {
-        weight += sc->weight;
-      }
-    }
-  }
-
-  return weight;
-}
-
-/* Surface Evaluation */
-
-template<uint node_feature_mask, typename ConstIntegratorGenericState>
-ccl_device void shader_eval_surface(KernelGlobals kg,
-                                    ConstIntegratorGenericState state,
-                                    ccl_private ShaderData *ccl_restrict sd,
-                                    ccl_global float *ccl_restrict buffer,
-                                    uint32_t path_flag)
-{
-  /* If path is being terminated, we are tracing a shadow ray or evaluating
-   * emission, then we don't need to store closures. The emission and shadow
-   * shader data also do not have a closure array to save GPU memory. */
-  int max_closures;
-  if (path_flag & (PATH_RAY_TERMINATE | PATH_RAY_SHADOW | PATH_RAY_EMISSION)) {
-    max_closures = 0;
-  }
-  else {
-    max_closures = kernel_data.max_closures;
-  }
-
-  sd->num_closure = 0;
-  sd->num_closure_left = max_closures;
-
-#ifdef __OSL__
-  if (kg->osl) {
-    if (sd->object == OBJECT_NONE && sd->lamp == LAMP_NONE) {
-      OSLShader::eval_background(kg, state, sd, path_flag);
-    }
-    else {
-      OSLShader::eval_surface(kg, state, sd, path_flag);
-    }
-  }
-  else
-#endif
-  {
-#ifdef __SVM__
-    svm_eval_nodes<node_feature_mask, SHADER_TYPE_SURFACE>(kg, state, sd, buffer, path_flag);
-#else
-    if (sd->object == OBJECT_NONE) {
-      sd->closure_emission_background = make_float3(0.8f, 0.8f, 0.8f);
-      sd->flag |= SD_EMISSION;
-    }
-    else {
-      ccl_private DiffuseBsdf *bsdf = (ccl_private DiffuseBsdf *)bsdf_alloc(
-          sd, sizeof(DiffuseBsdf), make_float3(0.8f, 0.8f, 0.8f));
-      if (bsdf != NULL) {
-        bsdf->N = sd->N;
-        sd->flag |= bsdf_diffuse_setup(bsdf);
-      }
-    }
-#endif
-  }
-}
-
-/* Volume */
-
-#ifdef __VOLUME__
-
-ccl_device_inline float _shader_volume_phase_multi_eval(
-    ccl_private const ShaderData *sd,
-    ccl_private const ShaderVolumePhases *phases,
-    const float3 omega_in,
-    int skip_phase,
-    ccl_private BsdfEval *result_eval,
-    float sum_pdf,
-    float sum_sample_weight)
-{
-  for (int i = 0; i < phases->num_closure; i++) {
-    if (i == skip_phase)
-      continue;
-
-    ccl_private const ShaderVolumeClosure *svc = &phases->closure[i];
-    float phase_pdf = 0.0f;
-    float3 eval = volume_phase_eval(sd, svc, omega_in, &phase_pdf);
-
-    if (phase_pdf != 0.0f) {
-      bsdf_eval_accum(result_eval, false, eval, 1.0f);
-      sum_pdf += phase_pdf * svc->sample_weight;
-    }
-
-    sum_sample_weight += svc->sample_weight;
-  }
-
-  return (sum_sample_weight > 0.0f) ? sum_pdf / sum_sample_weight : 0.0f;
-}
-
-ccl_device float shader_volume_phase_eval(KernelGlobals kg,
-                                          ccl_private const ShaderData *sd,
-                                          ccl_private const ShaderVolumePhases *phases,
-                                          const float3 omega_in,
-                                          ccl_private BsdfEval *phase_eval)
-{
-  bsdf_eval_init(phase_eval, false, zero_float3());
-
-  return _shader_volume_phase_multi_eval(sd, phases, omega_in, -1, phase_eval, 0.0f, 0.0f);
-}
-
-ccl_device int shader_volume_phase_sample(KernelGlobals kg,
-                                          ccl_private const ShaderData *sd,
-                                          ccl_private const ShaderVolumePhases *phases,
-                                          float randu,
-                                          float randv,
-                                          ccl_private BsdfEval *phase_eval,
-                                          ccl_private float3 *omega_in,
-                                          ccl_private differential3 *domega_in,
-                                          ccl_private float *pdf)
-{
-  int sampled = 0;
-
-  if (phases->num_closure > 1) {
-    /* pick a phase closure based on sample weights */
-    float sum = 0.0f;
-
-    for (sampled = 0; sampled < phases->num_closure; sampled++) {
-      ccl_private const ShaderVolumeClosure *svc = &phases->closure[sampled];
-      sum += svc->sample_weight;
-    }
-
-    float r = randu * sum;
-    float partial_sum = 0.0f;
-
-    for (sampled = 0; sampled < phases->num_closure; sampled++) {
-      ccl_private const ShaderVolumeClosure *svc = &phases->closure[sampled];
-      float next_sum = partial_sum + svc->sample_weight;
-
-      if (r <= next_sum) {
-        /* Rescale to reuse for BSDF direction sample. */
-        randu = (r - partial_sum) / svc->sample_weight;
-        break;
-      }
-
-      partial_sum = next_sum;
-    }
-
-    if (sampled == phases->num_closure) {
-      *pdf = 0.0f;
-      return LABEL_NONE;
-    }
-  }
-
-  /* todo: this isn't quite correct, we don't weight anisotropy properly
-   * depending on color channels, even if this is perhaps not a common case */
-  ccl_private const ShaderVolumeClosure *svc = &phases->closure[sampled];
-  int label;
-  float3 eval = zero_float3();
-
-  *pdf = 0.0f;
-  label = volume_phase_sample(sd, svc, randu, randv, &eval, omega_in, domega_in, pdf);
-
-  if (*pdf != 0.0f) {
-    bsdf_eval_init(phase_eval, false, eval);
-  }
-
-  return label;
-}
-
-ccl_device int shader_phase_sample_closure(KernelGlobals kg,
-                                           ccl_private const ShaderData *sd,
-                                           ccl_private const ShaderVolumeClosure *sc,
-                                           float randu,
-                                           float randv,
-                                           ccl_private BsdfEval *phase_eval,
-                                           ccl_private float3 *omega_in,
-                                           ccl_private differential3 *domega_in,
-                                           ccl_private float *pdf)
-{
-  int label;
-  float3 eval = zero_float3();
-
-  *pdf = 0.0f;
-  label = volume_phase_sample(sd, sc, randu, randv, &eval, omega_in, domega_in, pdf);
-
-  if (*pdf != 0.0f)
-    bsdf_eval_init(phase_eval, false, eval);
-
-  return label;
-}
-
-/* Volume Evaluation */
-
-template<const bool shadow, typename StackReadOp, typename ConstIntegratorGenericState>
-ccl_device_inline void shader_eval_volume(KernelGlobals kg,
-                                          ConstIntegratorGenericState state,
-                                          ccl_private ShaderData *ccl_restrict sd,
-                                          const uint32_t path_flag,
-                                          StackReadOp stack_read)
-{
-  /* If path is being terminated, we are tracing a shadow ray or evaluating
-   * emission, then we don't need to store closures. The emission and shadow
-   * shader data also do not have a closure array to save GPU memory. */
-  int max_closures;
-  if (path_flag & (PATH_RAY_TERMINATE | PATH_RAY_SHADOW | PATH_RAY_EMISSION)) {
-    max_closures = 0;
-  }
-  else {
-    max_closures = kernel_data.max_closures;
-  }
-
-  /* reset closures once at the start, we will be accumulating the closures
-   * for all volumes in the stack into a single array of closures */
-  sd->num_closure = 0;
-  sd->num_closure_left = max_closures;
-  sd->flag = 0;
-  sd->object_flag = 0;
-
-  for (int i = 0;; i++) {
-    const VolumeStack entry = stack_read(i);
-    if (entry.shader == SHADER_NONE) {
-      break;
-    }
-
-    /* Setup shader-data from stack. it's mostly setup already in
-     * shader_setup_from_volume, this switching should be quick. */
-    sd->object = entry.object;
-    sd->lamp = LAMP_NONE;
-    sd->shader = entry.shader;
-
-    sd->flag &= ~SD_SHADER_FLAGS;
-    sd->flag |= kernel_tex_fetch(__shaders, (sd->shader & SHADER_MASK)).flags;
-    sd->object_flag &= ~SD_OBJECT_FLAGS;
-
-    if (sd->object != OBJECT_NONE) {
-      sd->object_flag |= kernel_tex_fetch(__object_flag, sd->object);
-
-#  ifdef __OBJECT_MOTION__
-      /* todo: this is inefficient for motion blur, we should be
-       * caching matrices instead of recomputing them each step */
-      shader_setup_object_transforms(kg, sd, sd->time);
-#  endif
-    }
-
-    /* evaluate shader */
-#  ifdef __SVM__
-#    ifdef __OSL__
-    if (kg->osl) {
-      OSLShader::eval_volume(kg, state, sd, path_flag);
-    }
-    else
-#    endif
-    {
-      svm_eval_nodes<KERNEL_FEATURE_NODE_MASK_VOLUME, SHADER_TYPE_VOLUME>(
-          kg, state, sd, NULL, path_flag);
-    }
-#  endif
-
-    /* Merge closures to avoid exceeding number of closures limit. */
-    if (!shadow) {
-      if (i > 0) {
-        shader_merge_volume_closures(sd);
-      }
-    }
-  }
-}
-
-#endif /* __VOLUME__ */
-
-/* Displacement Evaluation */
-
-template<typename ConstIntegratorGenericState>
-ccl_device void shader_eval_displacement(KernelGlobals kg,
-                                         ConstIntegratorGenericState state,
-                                         ccl_private ShaderData *sd)
-{
-  sd->num_closure = 0;
-  sd->num_closure_left = 0;
-
-  /* this will modify sd->P */
-#ifdef __SVM__
-#  ifdef __OSL__
-  if (kg->osl)
-    OSLShader::eval_displacement(kg, state, sd);
-  else
-#  endif
-  {
-    svm_eval_nodes<KERNEL_FEATURE_NODE_MASK_DISPLACEMENT, SHADER_TYPE_DISPLACEMENT>(
-        kg, state, sd, NULL, 0);
-  }
-#endif
-}
-
-/* Cryptomatte */
-
-ccl_device float shader_cryptomatte_id(KernelGlobals kg, int shader)
-{
-  return kernel_tex_fetch(__shaders, (shader & SHADER_MASK)).cryptomatte_id;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_shadow_catcher.h b/intern/cycles/kernel/kernel_shadow_catcher.h
deleted file mode 100644
index 9bed140b395..00000000000
--- a/intern/cycles/kernel/kernel_shadow_catcher.h
+++ /dev/null
@@ -1,120 +0,0 @@
-/*
- * Copyright 2011-2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "kernel/integrator/integrator_state_util.h"
-#include "kernel/kernel_path_state.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Check whether current surface bounce is where path is to be split for the shadow catcher. */
-ccl_device_inline bool kernel_shadow_catcher_is_path_split_bounce(KernelGlobals kg,
-                                                                  IntegratorState state,
-                                                                  const int object_flag)
-{
-#ifdef __SHADOW_CATCHER__
-  if (!kernel_data.integrator.has_shadow_catcher) {
-    return false;
-  }
-
-  /* Check the flag first, avoiding fetches form global memory. */
-  if ((object_flag & SD_OBJECT_SHADOW_CATCHER) == 0) {
-    return false;
-  }
-  if (object_flag & SD_OBJECT_HOLDOUT_MASK) {
-    return false;
-  }
-
-  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
-
-  if ((path_flag & PATH_RAY_TRANSPARENT_BACKGROUND) == 0) {
-    /* Split only on primary rays, secondary bounces are to treat shadow catcher as a regular
-     * object. */
-    return false;
-  }
-
-  if (path_flag & PATH_RAY_SHADOW_CATCHER_PASS) {
-    return false;
-  }
-
-  return true;
-#else
-  (void)object_flag;
-  return false;
-#endif
-}
-
-/* Check whether the current path can still split. */
-ccl_device_inline bool kernel_shadow_catcher_path_can_split(KernelGlobals kg,
-                                                            ConstIntegratorState state)
-{
-  if (INTEGRATOR_PATH_IS_TERMINATED) {
-    return false;
-  }
-
-  const uint32_t path_flag = INTEGRATOR_STATE(state, path, flag);
-
-  if (path_flag & PATH_RAY_SHADOW_CATCHER_HIT) {
-    /* Shadow catcher was already hit and the state was split. No further split is allowed. */
-    return false;
-  }
-
-  return (path_flag & PATH_RAY_TRANSPARENT_BACKGROUND) != 0;
-}
-
-/* NOTE: Leaves kernel scheduling information untouched. Use INIT semantic for one of the paths
- * after this function. */
-ccl_device_inline bool kernel_shadow_catcher_split(KernelGlobals kg,
-                                                   IntegratorState state,
-                                                   const int object_flags)
-{
-#ifdef __SHADOW_CATCHER__
-
-  if (!kernel_shadow_catcher_is_path_split_bounce(kg, state, object_flags)) {
-    return false;
-  }
-
-  /* The split is to be done. Mark the current state as such, so that it stops contributing to the
-   * shadow catcher matte pass, but keeps contributing to the combined pass. */
-  INTEGRATOR_STATE_WRITE(state, path, flag) |= PATH_RAY_SHADOW_CATCHER_HIT;
-
-  /* Split new state from the current one. This new state will only track contribution of shadow
-   * catcher objects ignoring non-catcher objects. */
-  integrator_state_shadow_catcher_split(kg, state);
-
-  return true;
-#else
-  (void)object_flags;
-  return false;
-#endif
-}
-
-#ifdef __SHADOW_CATCHER__
-
-ccl_device_forceinline bool kernel_shadow_catcher_is_matte_path(const uint32_t path_flag)
-{
-  return (path_flag & PATH_RAY_SHADOW_CATCHER_HIT) == 0;
-}
-
-ccl_device_forceinline bool kernel_shadow_catcher_is_object_pass(const uint32_t path_flag)
-{
-  return path_flag & PATH_RAY_SHADOW_CATCHER_PASS;
-}
-
-#endif /* __SHADOW_CATCHER__ */
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_types.h b/intern/cycles/kernel/kernel_types.h
index 94c27a1fca5..4312c1b67d2 100644
--- a/intern/cycles/kernel/kernel_types.h
+++ b/intern/cycles/kernel/kernel_types.h
@@ -22,10 +22,16 @@
 #  define __EMBREE__
 #endif
 
-#include "kernel/kernel_math.h"
-#include "kernel/svm/svm_types.h"
+#include "util/util_math.h"
+#include "util/util_math_fast.h"
+#include "util/util_math_intersect.h"
+#include "util/util_projection.h"
+#include "util/util_texture.h"
+#include "util/util_transform.h"
 #include "util/util_static_assert.h"
 
+#include "kernel/svm/svm_types.h"
+
 #ifndef __KERNEL_GPU__
 #  define __KERNEL_CPU__
 #endif
diff --git a/intern/cycles/kernel/kernel_work_stealing.h b/intern/cycles/kernel/kernel_work_stealing.h
deleted file mode 100644
index fab0915c38e..00000000000
--- a/intern/cycles/kernel/kernel_work_stealing.h
+++ /dev/null
@@ -1,52 +0,0 @@
-/*
- * Copyright 2011-2015 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-CCL_NAMESPACE_BEGIN
-
-/*
- * Utility functions for work stealing
- */
-
-/* Map global work index to tile, pixel X/Y and sample. */
-ccl_device_inline void get_work_pixel(ccl_global const KernelWorkTile *tile,
-                                      uint global_work_index,
-                                      ccl_private uint *x,
-                                      ccl_private uint *y,
-                                      ccl_private uint *sample)
-{
-#if 0
-  /* Keep threads for the same sample together. */
-  uint tile_pixels = tile->w * tile->h;
-  uint sample_offset = global_work_index / tile_pixels;
-  uint pixel_offset = global_work_index - sample_offset * tile_pixels;
-#else
-  /* Keeping threads for the same pixel together.
-   * Appears to improve performance by a few % on CUDA and OptiX. */
-  uint sample_offset = global_work_index % tile->num_samples;
-  uint pixel_offset = global_work_index / tile->num_samples;
-#endif
-
-  uint y_offset = pixel_offset / tile->w;
-  uint x_offset = pixel_offset - y_offset * tile->w;
-
-  *x = tile->x + x_offset;
-  *y = tile->y + y_offset;
-  *sample = tile->start_sample + sample_offset;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/kernel_write_passes.h b/intern/cycles/kernel/kernel_write_passes.h
deleted file mode 100644
index 9d379495629..00000000000
--- a/intern/cycles/kernel/kernel_write_passes.h
+++ /dev/null
@@ -1,88 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#ifdef __KERNEL_GPU__
-#  define __ATOMIC_PASS_WRITE__
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-ccl_device_inline void kernel_write_pass_float(ccl_global float *ccl_restrict buffer, float value)
-{
-#ifdef __ATOMIC_PASS_WRITE__
-  atomic_add_and_fetch_float(buffer, value);
-#else
-  *buffer += value;
-#endif
-}
-
-ccl_device_inline void kernel_write_pass_float3(ccl_global float *ccl_restrict buffer,
-                                                float3 value)
-{
-#ifdef __ATOMIC_PASS_WRITE__
-  ccl_global float *buf_x = buffer + 0;
-  ccl_global float *buf_y = buffer + 1;
-  ccl_global float *buf_z = buffer + 2;
-
-  atomic_add_and_fetch_float(buf_x, value.x);
-  atomic_add_and_fetch_float(buf_y, value.y);
-  atomic_add_and_fetch_float(buf_z, value.z);
-#else
-  buffer[0] += value.x;
-  buffer[1] += value.y;
-  buffer[2] += value.z;
-#endif
-}
-
-ccl_device_inline void kernel_write_pass_float4(ccl_global float *ccl_restrict buffer,
-                                                float4 value)
-{
-#ifdef __ATOMIC_PASS_WRITE__
-  ccl_global float *buf_x = buffer + 0;
-  ccl_global float *buf_y = buffer + 1;
-  ccl_global float *buf_z = buffer + 2;
-  ccl_global float *buf_w = buffer + 3;
-
-  atomic_add_and_fetch_float(buf_x, value.x);
-  atomic_add_and_fetch_float(buf_y, value.y);
-  atomic_add_and_fetch_float(buf_z, value.z);
-  atomic_add_and_fetch_float(buf_w, value.w);
-#else
-  buffer[0] += value.x;
-  buffer[1] += value.y;
-  buffer[2] += value.z;
-  buffer[3] += value.w;
-#endif
-}
-
-ccl_device_inline float kernel_read_pass_float(ccl_global float *ccl_restrict buffer)
-{
-  return *buffer;
-}
-
-ccl_device_inline float3 kernel_read_pass_float3(ccl_global float *ccl_restrict buffer)
-{
-  return make_float3(buffer[0], buffer[1], buffer[2]);
-}
-
-ccl_device_inline float4 kernel_read_pass_float4(ccl_global float *ccl_restrict buffer)
-{
-  return make_float4(buffer[0], buffer[1], buffer[2], buffer[3]);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/light/light.h b/intern/cycles/kernel/light/light.h
new file mode 100644
index 00000000000..facbbe23d0f
--- /dev/null
+++ b/intern/cycles/kernel/light/light.h
@@ -0,0 +1,872 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/geom/geom.h"
+#include "kernel/light/light_background.h"
+#include "kernel/sample/sample_mapping.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Light Sample result */
+
+typedef struct LightSample {
+  float3 P;       /* position on light, or direction for distant light */
+  float3 Ng;      /* normal on light */
+  float3 D;       /* direction from shading point to light */
+  float t;        /* distance to light (FLT_MAX for distant light) */
+  float u, v;     /* parametric coordinate on primitive */
+  float pdf;      /* light sampling probability density function */
+  float eval_fac; /* intensity multiplier */
+  int object;     /* object id for triangle/curve lights */
+  int prim;       /* primitive id for triangle/curve lights */
+  int shader;     /* shader id */
+  int lamp;       /* lamp id */
+  LightType type; /* type of light */
+} LightSample;
+
+/* Regular Light */
+
+template<bool in_volume_segment>
+ccl_device_inline bool light_sample(KernelGlobals kg,
+                                    const int lamp,
+                                    const float randu,
+                                    const float randv,
+                                    const float3 P,
+                                    const uint32_t path_flag,
+                                    ccl_private LightSample *ls)
+{
+  const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
+  if (path_flag & PATH_RAY_SHADOW_CATCHER_PASS) {
+    if (klight->shader_id & SHADER_EXCLUDE_SHADOW_CATCHER) {
+      return false;
+    }
+  }
+
+  LightType type = (LightType)klight->type;
+  ls->type = type;
+  ls->shader = klight->shader_id;
+  ls->object = PRIM_NONE;
+  ls->prim = PRIM_NONE;
+  ls->lamp = lamp;
+  ls->u = randu;
+  ls->v = randv;
+
+  if (in_volume_segment && (type == LIGHT_DISTANT || type == LIGHT_BACKGROUND)) {
+    /* Distant lights in a volume get a dummy sample, position will not actually
+     * be used in that case. Only when sampling from a specific scatter position
+     * do we actually need to evaluate these. */
+    ls->P = zero_float3();
+    ls->Ng = zero_float3();
+    ls->D = zero_float3();
+    ls->pdf = true;
+    ls->t = FLT_MAX;
+    return true;
+  }
+
+  if (type == LIGHT_DISTANT) {
+    /* distant light */
+    float3 lightD = make_float3(klight->co[0], klight->co[1], klight->co[2]);
+    float3 D = lightD;
+    float radius = klight->distant.radius;
+    float invarea = klight->distant.invarea;
+
+    if (radius > 0.0f)
+      D = distant_light_sample(D, radius, randu, randv);
+
+    ls->P = D;
+    ls->Ng = D;
+    ls->D = -D;
+    ls->t = FLT_MAX;
+
+    float costheta = dot(lightD, D);
+    ls->pdf = invarea / (costheta * costheta * costheta);
+    ls->eval_fac = ls->pdf;
+  }
+#ifdef __BACKGROUND_MIS__
+  else if (type == LIGHT_BACKGROUND) {
+    /* infinite area light (e.g. light dome or env light) */
+    float3 D = -background_light_sample(kg, P, randu, randv, &ls->pdf);
+
+    ls->P = D;
+    ls->Ng = D;
+    ls->D = -D;
+    ls->t = FLT_MAX;
+    ls->eval_fac = 1.0f;
+  }
+#endif
+  else {
+    ls->P = make_float3(klight->co[0], klight->co[1], klight->co[2]);
+
+    if (type == LIGHT_POINT || type == LIGHT_SPOT) {
+      float radius = klight->spot.radius;
+
+      if (radius > 0.0f)
+        /* sphere light */
+        ls->P += sphere_light_sample(P, ls->P, radius, randu, randv);
+
+      ls->D = normalize_len(ls->P - P, &ls->t);
+      ls->Ng = -ls->D;
+
+      float invarea = klight->spot.invarea;
+      ls->eval_fac = (0.25f * M_1_PI_F) * invarea;
+      ls->pdf = invarea;
+
+      if (type == LIGHT_SPOT) {
+        /* spot light attenuation */
+        float3 dir = make_float3(klight->spot.dir[0], klight->spot.dir[1], klight->spot.dir[2]);
+        ls->eval_fac *= spot_light_attenuation(
+            dir, klight->spot.spot_angle, klight->spot.spot_smooth, ls->Ng);
+        if (ls->eval_fac == 0.0f) {
+          return false;
+        }
+      }
+      float2 uv = map_to_sphere(ls->Ng);
+      ls->u = uv.x;
+      ls->v = uv.y;
+
+      ls->pdf *= lamp_light_pdf(kg, ls->Ng, -ls->D, ls->t);
+    }
+    else {
+      /* area light */
+      float3 axisu = make_float3(
+          klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
+      float3 axisv = make_float3(
+          klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
+      float3 Ng = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
+      float invarea = fabsf(klight->area.invarea);
+      bool is_round = (klight->area.invarea < 0.0f);
+
+      if (!in_volume_segment) {
+        if (dot(ls->P - P, Ng) > 0.0f) {
+          return false;
+        }
+      }
+
+      float3 inplane;
+
+      if (is_round || in_volume_segment) {
+        inplane = ellipse_sample(axisu * 0.5f, axisv * 0.5f, randu, randv);
+        ls->P += inplane;
+        ls->pdf = invarea;
+      }
+      else {
+        inplane = ls->P;
+
+        float3 sample_axisu = axisu;
+        float3 sample_axisv = axisv;
+
+        if (klight->area.tan_spread > 0.0f) {
+          if (!light_spread_clamp_area_light(
+                  P, Ng, &ls->P, &sample_axisu, &sample_axisv, klight->area.tan_spread)) {
+            return false;
+          }
+        }
+
+        ls->pdf = rect_light_sample(P, &ls->P, sample_axisu, sample_axisv, randu, randv, true);
+        inplane = ls->P - inplane;
+      }
+
+      ls->u = dot(inplane, axisu) * (1.0f / dot(axisu, axisu)) + 0.5f;
+      ls->v = dot(inplane, axisv) * (1.0f / dot(axisv, axisv)) + 0.5f;
+
+      ls->Ng = Ng;
+      ls->D = normalize_len(ls->P - P, &ls->t);
+
+      ls->eval_fac = 0.25f * invarea;
+
+      if (klight->area.tan_spread > 0.0f) {
+        /* Area Light spread angle attenuation */
+        ls->eval_fac *= light_spread_attenuation(
+            ls->D, ls->Ng, klight->area.tan_spread, klight->area.normalize_spread);
+      }
+
+      if (is_round) {
+        ls->pdf *= lamp_light_pdf(kg, Ng, -ls->D, ls->t);
+      }
+    }
+  }
+
+  ls->pdf *= kernel_data.integrator.pdf_lights;
+
+  return (ls->pdf > 0.0f);
+}
+
+ccl_device bool lights_intersect(KernelGlobals kg,
+                                 ccl_private const Ray *ccl_restrict ray,
+                                 ccl_private Intersection *ccl_restrict isect,
+                                 const int last_prim,
+                                 const int last_object,
+                                 const int last_type,
+                                 const uint32_t path_flag)
+{
+  for (int lamp = 0; lamp < kernel_data.integrator.num_all_lights; lamp++) {
+    const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
+
+    if (path_flag & PATH_RAY_CAMERA) {
+      if (klight->shader_id & SHADER_EXCLUDE_CAMERA) {
+        continue;
+      }
+    }
+    else {
+      if (!(klight->shader_id & SHADER_USE_MIS)) {
+        continue;
+      }
+    }
+
+    if (path_flag & PATH_RAY_SHADOW_CATCHER_PASS) {
+      if (klight->shader_id & SHADER_EXCLUDE_SHADOW_CATCHER) {
+        continue;
+      }
+    }
+
+    LightType type = (LightType)klight->type;
+    float t = 0.0f, u = 0.0f, v = 0.0f;
+
+    if (type == LIGHT_POINT || type == LIGHT_SPOT) {
+      /* Sphere light. */
+      const float3 lightP = make_float3(klight->co[0], klight->co[1], klight->co[2]);
+      const float radius = klight->spot.radius;
+      if (radius == 0.0f) {
+        continue;
+      }
+
+      float3 P;
+      if (!ray_aligned_disk_intersect(ray->P, ray->D, ray->t, lightP, radius, &P, &t)) {
+        continue;
+      }
+    }
+    else if (type == LIGHT_AREA) {
+      /* Area light. */
+      const float invarea = fabsf(klight->area.invarea);
+      const bool is_round = (klight->area.invarea < 0.0f);
+      if (invarea == 0.0f) {
+        continue;
+      }
+
+      const float3 axisu = make_float3(
+          klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
+      const float3 axisv = make_float3(
+          klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
+      const float3 Ng = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
+
+      /* One sided. */
+      if (dot(ray->D, Ng) >= 0.0f) {
+        continue;
+      }
+
+      const float3 light_P = make_float3(klight->co[0], klight->co[1], klight->co[2]);
+
+      float3 P;
+      if (!ray_quad_intersect(
+              ray->P, ray->D, 0.0f, ray->t, light_P, axisu, axisv, Ng, &P, &t, &u, &v, is_round)) {
+        continue;
+      }
+    }
+    else {
+      continue;
+    }
+
+    if (t < isect->t &&
+        !(last_prim == lamp && last_object == OBJECT_NONE && last_type == PRIMITIVE_LAMP)) {
+      isect->t = t;
+      isect->u = u;
+      isect->v = v;
+      isect->type = PRIMITIVE_LAMP;
+      isect->prim = lamp;
+      isect->object = OBJECT_NONE;
+    }
+  }
+
+  return isect->prim != PRIM_NONE;
+}
+
+ccl_device bool light_sample_from_distant_ray(KernelGlobals kg,
+                                              const float3 ray_D,
+                                              const int lamp,
+                                              ccl_private LightSample *ccl_restrict ls)
+{
+  ccl_global const KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
+  const int shader = klight->shader_id;
+  const float radius = klight->distant.radius;
+  const LightType type = (LightType)klight->type;
+
+  if (type != LIGHT_DISTANT) {
+    return false;
+  }
+  if (!(shader & SHADER_USE_MIS)) {
+    return false;
+  }
+  if (radius == 0.0f) {
+    return false;
+  }
+
+  /* a distant light is infinitely far away, but equivalent to a disk
+   * shaped light exactly 1 unit away from the current shading point.
+   *
+   *     radius              t^2/cos(theta)
+   *  <---------->           t = sqrt(1^2 + tan(theta)^2)
+   *       tan(th)           area = radius*radius*pi
+   *       <----->
+   *        \    |           (1 + tan(theta)^2)/cos(theta)
+   *         \   |           (1 + tan(acos(cos(theta)))^2)/cos(theta)
+   *       t  \th| 1         simplifies to
+   *           \-|           1/(cos(theta)^3)
+   *            \|           magic!
+   *             P
+   */
+
+  float3 lightD = make_float3(klight->co[0], klight->co[1], klight->co[2]);
+  float costheta = dot(-lightD, ray_D);
+  float cosangle = klight->distant.cosangle;
+
+  if (costheta < cosangle)
+    return false;
+
+  ls->type = type;
+  ls->shader = klight->shader_id;
+  ls->object = PRIM_NONE;
+  ls->prim = PRIM_NONE;
+  ls->lamp = lamp;
+  /* todo: missing texture coordinates */
+  ls->u = 0.0f;
+  ls->v = 0.0f;
+  ls->t = FLT_MAX;
+  ls->P = -ray_D;
+  ls->Ng = -ray_D;
+  ls->D = ray_D;
+
+  /* compute pdf */
+  float invarea = klight->distant.invarea;
+  ls->pdf = invarea / (costheta * costheta * costheta);
+  ls->pdf *= kernel_data.integrator.pdf_lights;
+  ls->eval_fac = ls->pdf;
+
+  return true;
+}
+
+ccl_device bool light_sample_from_intersection(KernelGlobals kg,
+                                               ccl_private const Intersection *ccl_restrict isect,
+                                               const float3 ray_P,
+                                               const float3 ray_D,
+                                               ccl_private LightSample *ccl_restrict ls)
+{
+  const int lamp = isect->prim;
+  ccl_global const KernelLight *klight = &kernel_tex_fetch(__lights, lamp);
+  LightType type = (LightType)klight->type;
+  ls->type = type;
+  ls->shader = klight->shader_id;
+  ls->object = PRIM_NONE;
+  ls->prim = PRIM_NONE;
+  ls->lamp = lamp;
+  /* todo: missing texture coordinates */
+  ls->t = isect->t;
+  ls->P = ray_P + ray_D * ls->t;
+  ls->D = ray_D;
+
+  if (type == LIGHT_POINT || type == LIGHT_SPOT) {
+    ls->Ng = -ray_D;
+
+    float invarea = klight->spot.invarea;
+    ls->eval_fac = (0.25f * M_1_PI_F) * invarea;
+    ls->pdf = invarea;
+
+    if (type == LIGHT_SPOT) {
+      /* spot light attenuation */
+      float3 dir = make_float3(klight->spot.dir[0], klight->spot.dir[1], klight->spot.dir[2]);
+      ls->eval_fac *= spot_light_attenuation(
+          dir, klight->spot.spot_angle, klight->spot.spot_smooth, ls->Ng);
+
+      if (ls->eval_fac == 0.0f) {
+        return false;
+      }
+    }
+    float2 uv = map_to_sphere(ls->Ng);
+    ls->u = uv.x;
+    ls->v = uv.y;
+
+    /* compute pdf */
+    if (ls->t != FLT_MAX)
+      ls->pdf *= lamp_light_pdf(kg, ls->Ng, -ls->D, ls->t);
+  }
+  else if (type == LIGHT_AREA) {
+    /* area light */
+    float invarea = fabsf(klight->area.invarea);
+
+    float3 axisu = make_float3(
+        klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
+    float3 axisv = make_float3(
+        klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
+    float3 Ng = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
+    float3 light_P = make_float3(klight->co[0], klight->co[1], klight->co[2]);
+
+    ls->u = isect->u;
+    ls->v = isect->v;
+    ls->D = ray_D;
+    ls->Ng = Ng;
+
+    const bool is_round = (klight->area.invarea < 0.0f);
+    if (is_round) {
+      ls->pdf = invarea * lamp_light_pdf(kg, Ng, -ray_D, ls->t);
+    }
+    else {
+      float3 sample_axisu = axisu;
+      float3 sample_axisv = axisv;
+
+      if (klight->area.tan_spread > 0.0f) {
+        if (!light_spread_clamp_area_light(
+                ray_P, Ng, &light_P, &sample_axisu, &sample_axisv, klight->area.tan_spread)) {
+          return false;
+        }
+      }
+
+      ls->pdf = rect_light_sample(ray_P, &light_P, sample_axisu, sample_axisv, 0, 0, false);
+    }
+    ls->eval_fac = 0.25f * invarea;
+
+    if (klight->area.tan_spread > 0.0f) {
+      /* Area Light spread angle attenuation */
+      ls->eval_fac *= light_spread_attenuation(
+          ls->D, ls->Ng, klight->area.tan_spread, klight->area.normalize_spread);
+      if (ls->eval_fac == 0.0f) {
+        return false;
+      }
+    }
+  }
+  else {
+    kernel_assert(!"Invalid lamp type in light_sample_from_intersection");
+    return false;
+  }
+
+  ls->pdf *= kernel_data.integrator.pdf_lights;
+
+  return true;
+}
+
+/* Triangle Light */
+
+/* returns true if the triangle is has motion blur or an instancing transform applied */
+ccl_device_inline bool triangle_world_space_vertices(
+    KernelGlobals kg, int object, int prim, float time, float3 V[3])
+{
+  bool has_motion = false;
+  const int object_flag = kernel_tex_fetch(__object_flag, object);
+
+  if (object_flag & SD_OBJECT_HAS_VERTEX_MOTION && time >= 0.0f) {
+    motion_triangle_vertices(kg, object, prim, time, V);
+    has_motion = true;
+  }
+  else {
+    triangle_vertices(kg, prim, V);
+  }
+
+  if (!(object_flag & SD_OBJECT_TRANSFORM_APPLIED)) {
+#ifdef __OBJECT_MOTION__
+    float object_time = (time >= 0.0f) ? time : 0.5f;
+    Transform tfm = object_fetch_transform_motion_test(kg, object, object_time, NULL);
+#else
+    Transform tfm = object_fetch_transform(kg, object, OBJECT_TRANSFORM);
+#endif
+    V[0] = transform_point(&tfm, V[0]);
+    V[1] = transform_point(&tfm, V[1]);
+    V[2] = transform_point(&tfm, V[2]);
+    has_motion = true;
+  }
+  return has_motion;
+}
+
+ccl_device_inline float triangle_light_pdf_area(KernelGlobals kg,
+                                                const float3 Ng,
+                                                const float3 I,
+                                                float t)
+{
+  float pdf = kernel_data.integrator.pdf_triangles;
+  float cos_pi = fabsf(dot(Ng, I));
+
+  if (cos_pi == 0.0f)
+    return 0.0f;
+
+  return t * t * pdf / cos_pi;
+}
+
+ccl_device_forceinline float triangle_light_pdf(KernelGlobals kg,
+                                                ccl_private const ShaderData *sd,
+                                                float t)
+{
+  /* A naive heuristic to decide between costly solid angle sampling
+   * and simple area sampling, comparing the distance to the triangle plane
+   * to the length of the edges of the triangle. */
+
+  float3 V[3];
+  bool has_motion = triangle_world_space_vertices(kg, sd->object, sd->prim, sd->time, V);
+
+  const float3 e0 = V[1] - V[0];
+  const float3 e1 = V[2] - V[0];
+  const float3 e2 = V[2] - V[1];
+  const float longest_edge_squared = max(len_squared(e0), max(len_squared(e1), len_squared(e2)));
+  const float3 N = cross(e0, e1);
+  const float distance_to_plane = fabsf(dot(N, sd->I * t)) / dot(N, N);
+
+  if (longest_edge_squared > distance_to_plane * distance_to_plane) {
+    /* sd contains the point on the light source
+     * calculate Px, the point that we're shading */
+    const float3 Px = sd->P + sd->I * t;
+    const float3 v0_p = V[0] - Px;
+    const float3 v1_p = V[1] - Px;
+    const float3 v2_p = V[2] - Px;
+
+    const float3 u01 = safe_normalize(cross(v0_p, v1_p));
+    const float3 u02 = safe_normalize(cross(v0_p, v2_p));
+    const float3 u12 = safe_normalize(cross(v1_p, v2_p));
+
+    const float alpha = fast_acosf(dot(u02, u01));
+    const float beta = fast_acosf(-dot(u01, u12));
+    const float gamma = fast_acosf(dot(u02, u12));
+    const float solid_angle = alpha + beta + gamma - M_PI_F;
+
+    /* pdf_triangles is calculated over triangle area, but we're not sampling over its area */
+    if (UNLIKELY(solid_angle == 0.0f)) {
+      return 0.0f;
+    }
+    else {
+      float area = 1.0f;
+      if (has_motion) {
+        /* get the center frame vertices, this is what the PDF was calculated from */
+        triangle_world_space_vertices(kg, sd->object, sd->prim, -1.0f, V);
+        area = triangle_area(V[0], V[1], V[2]);
+      }
+      else {
+        area = 0.5f * len(N);
+      }
+      const float pdf = area * kernel_data.integrator.pdf_triangles;
+      return pdf / solid_angle;
+    }
+  }
+  else {
+    float pdf = triangle_light_pdf_area(kg, sd->Ng, sd->I, t);
+    if (has_motion) {
+      const float area = 0.5f * len(N);
+      if (UNLIKELY(area == 0.0f)) {
+        return 0.0f;
+      }
+      /* scale the PDF.
+       * area = the area the sample was taken from
+       * area_pre = the are from which pdf_triangles was calculated from */
+      triangle_world_space_vertices(kg, sd->object, sd->prim, -1.0f, V);
+      const float area_pre = triangle_area(V[0], V[1], V[2]);
+      pdf = pdf * area_pre / area;
+    }
+    return pdf;
+  }
+}
+
+template<bool in_volume_segment>
+ccl_device_forceinline void triangle_light_sample(KernelGlobals kg,
+                                                  int prim,
+                                                  int object,
+                                                  float randu,
+                                                  float randv,
+                                                  float time,
+                                                  ccl_private LightSample *ls,
+                                                  const float3 P)
+{
+  /* A naive heuristic to decide between costly solid angle sampling
+   * and simple area sampling, comparing the distance to the triangle plane
+   * to the length of the edges of the triangle. */
+
+  float3 V[3];
+  bool has_motion = triangle_world_space_vertices(kg, object, prim, time, V);
+
+  const float3 e0 = V[1] - V[0];
+  const float3 e1 = V[2] - V[0];
+  const float3 e2 = V[2] - V[1];
+  const float longest_edge_squared = max(len_squared(e0), max(len_squared(e1), len_squared(e2)));
+  const float3 N0 = cross(e0, e1);
+  float Nl = 0.0f;
+  ls->Ng = safe_normalize_len(N0, &Nl);
+  float area = 0.5f * Nl;
+
+  /* flip normal if necessary */
+  const int object_flag = kernel_tex_fetch(__object_flag, object);
+  if (object_flag & SD_OBJECT_NEGATIVE_SCALE_APPLIED) {
+    ls->Ng = -ls->Ng;
+  }
+  ls->eval_fac = 1.0f;
+  ls->shader = kernel_tex_fetch(__tri_shader, prim);
+  ls->object = object;
+  ls->prim = prim;
+  ls->lamp = LAMP_NONE;
+  ls->shader |= SHADER_USE_MIS;
+  ls->type = LIGHT_TRIANGLE;
+
+  float distance_to_plane = fabsf(dot(N0, V[0] - P) / dot(N0, N0));
+
+  if (!in_volume_segment && (longest_edge_squared > distance_to_plane * distance_to_plane)) {
+    /* see James Arvo, "Stratified Sampling of Spherical Triangles"
+     * http://www.graphics.cornell.edu/pubs/1995/Arv95c.pdf */
+
+    /* project the triangle to the unit sphere
+     * and calculate its edges and angles */
+    const float3 v0_p = V[0] - P;
+    const float3 v1_p = V[1] - P;
+    const float3 v2_p = V[2] - P;
+
+    const float3 u01 = safe_normalize(cross(v0_p, v1_p));
+    const float3 u02 = safe_normalize(cross(v0_p, v2_p));
+    const float3 u12 = safe_normalize(cross(v1_p, v2_p));
+
+    const float3 A = safe_normalize(v0_p);
+    const float3 B = safe_normalize(v1_p);
+    const float3 C = safe_normalize(v2_p);
+
+    const float cos_alpha = dot(u02, u01);
+    const float cos_beta = -dot(u01, u12);
+    const float cos_gamma = dot(u02, u12);
+
+    /* calculate dihedral angles */
+    const float alpha = fast_acosf(cos_alpha);
+    const float beta = fast_acosf(cos_beta);
+    const float gamma = fast_acosf(cos_gamma);
+    /* the area of the unit spherical triangle = solid angle */
+    const float solid_angle = alpha + beta + gamma - M_PI_F;
+
+    /* precompute a few things
+     * these could be re-used to take several samples
+     * as they are independent of randu/randv */
+    const float cos_c = dot(A, B);
+    const float sin_alpha = fast_sinf(alpha);
+    const float product = sin_alpha * cos_c;
+
+    /* Select a random sub-area of the spherical triangle
+     * and calculate the third vertex C_ of that new triangle */
+    const float phi = randu * solid_angle - alpha;
+    float s, t;
+    fast_sincosf(phi, &s, &t);
+    const float u = t - cos_alpha;
+    const float v = s + product;
+
+    const float3 U = safe_normalize(C - dot(C, A) * A);
+
+    float q = 1.0f;
+    const float det = ((v * s + u * t) * sin_alpha);
+    if (det != 0.0f) {
+      q = ((v * t - u * s) * cos_alpha - v) / det;
+    }
+    const float temp = max(1.0f - q * q, 0.0f);
+
+    const float3 C_ = safe_normalize(q * A + sqrtf(temp) * U);
+
+    /* Finally, select a random point along the edge of the new triangle
+     * That point on the spherical triangle is the sampled ray direction */
+    const float z = 1.0f - randv * (1.0f - dot(C_, B));
+    ls->D = z * B + safe_sqrtf(1.0f - z * z) * safe_normalize(C_ - dot(C_, B) * B);
+
+    /* calculate intersection with the planar triangle */
+    if (!ray_triangle_intersect(P,
+                                ls->D,
+                                FLT_MAX,
+#if defined(__KERNEL_SSE2__) && defined(__KERNEL_SSE__)
+                                (ssef *)V,
+#else
+                                V[0],
+                                V[1],
+                                V[2],
+#endif
+                                &ls->u,
+                                &ls->v,
+                                &ls->t)) {
+      ls->pdf = 0.0f;
+      return;
+    }
+
+    ls->P = P + ls->D * ls->t;
+
+    /* pdf_triangles is calculated over triangle area, but we're sampling over solid angle */
+    if (UNLIKELY(solid_angle == 0.0f)) {
+      ls->pdf = 0.0f;
+      return;
+    }
+    else {
+      if (has_motion) {
+        /* get the center frame vertices, this is what the PDF was calculated from */
+        triangle_world_space_vertices(kg, object, prim, -1.0f, V);
+        area = triangle_area(V[0], V[1], V[2]);
+      }
+      const float pdf = area * kernel_data.integrator.pdf_triangles;
+      ls->pdf = pdf / solid_angle;
+    }
+  }
+  else {
+    /* compute random point in triangle. From Eric Heitz's "A Low-Distortion Map Between Triangle
+     * and Square" */
+    float u = randu;
+    float v = randv;
+    if (v > u) {
+      u *= 0.5f;
+      v -= u;
+    }
+    else {
+      v *= 0.5f;
+      u -= v;
+    }
+
+    const float t = 1.0f - u - v;
+    ls->P = u * V[0] + v * V[1] + t * V[2];
+    /* compute incoming direction, distance and pdf */
+    ls->D = normalize_len(ls->P - P, &ls->t);
+    ls->pdf = triangle_light_pdf_area(kg, ls->Ng, -ls->D, ls->t);
+    if (has_motion && area != 0.0f) {
+      /* scale the PDF.
+       * area = the area the sample was taken from
+       * area_pre = the are from which pdf_triangles was calculated from */
+      triangle_world_space_vertices(kg, object, prim, -1.0f, V);
+      const float area_pre = triangle_area(V[0], V[1], V[2]);
+      ls->pdf = ls->pdf * area_pre / area;
+    }
+    ls->u = u;
+    ls->v = v;
+  }
+}
+
+/* Light Distribution */
+
+ccl_device int light_distribution_sample(KernelGlobals kg, ccl_private float *randu)
+{
+  /* This is basically std::upper_bound as used by PBRT, to find a point light or
+   * triangle to emit from, proportional to area. a good improvement would be to
+   * also sample proportional to power, though it's not so well defined with
+   * arbitrary shaders. */
+  int first = 0;
+  int len = kernel_data.integrator.num_distribution + 1;
+  float r = *randu;
+
+  do {
+    int half_len = len >> 1;
+    int middle = first + half_len;
+
+    if (r < kernel_tex_fetch(__light_distribution, middle).totarea) {
+      len = half_len;
+    }
+    else {
+      first = middle + 1;
+      len = len - half_len - 1;
+    }
+  } while (len > 0);
+
+  /* Clamping should not be needed but float rounding errors seem to
+   * make this fail on rare occasions. */
+  int index = clamp(first - 1, 0, kernel_data.integrator.num_distribution - 1);
+
+  /* Rescale to reuse random number. this helps the 2D samples within
+   * each area light be stratified as well. */
+  float distr_min = kernel_tex_fetch(__light_distribution, index).totarea;
+  float distr_max = kernel_tex_fetch(__light_distribution, index + 1).totarea;
+  *randu = (r - distr_min) / (distr_max - distr_min);
+
+  return index;
+}
+
+/* Generic Light */
+
+ccl_device_inline bool light_select_reached_max_bounces(KernelGlobals kg, int index, int bounce)
+{
+  return (bounce > kernel_tex_fetch(__lights, index).max_bounces);
+}
+
+template<bool in_volume_segment>
+ccl_device_noinline bool light_distribution_sample(KernelGlobals kg,
+                                                   float randu,
+                                                   const float randv,
+                                                   const float time,
+                                                   const float3 P,
+                                                   const int bounce,
+                                                   const uint32_t path_flag,
+                                                   ccl_private LightSample *ls)
+{
+  /* Sample light index from distribution. */
+  const int index = light_distribution_sample(kg, &randu);
+  ccl_global const KernelLightDistribution *kdistribution = &kernel_tex_fetch(__light_distribution,
+                                                                              index);
+  const int prim = kdistribution->prim;
+
+  if (prim >= 0) {
+    /* Mesh light. */
+    const int object = kdistribution->mesh_light.object_id;
+
+    /* Exclude synthetic meshes from shadow catcher pass. */
+    if ((path_flag & PATH_RAY_SHADOW_CATCHER_PASS) &&
+        !(kernel_tex_fetch(__object_flag, object) & SD_OBJECT_SHADOW_CATCHER)) {
+      return false;
+    }
+
+    const int shader_flag = kdistribution->mesh_light.shader_flag;
+    triangle_light_sample<in_volume_segment>(kg, prim, object, randu, randv, time, ls, P);
+    ls->shader |= shader_flag;
+    return (ls->pdf > 0.0f);
+  }
+
+  const int lamp = -prim - 1;
+
+  if (UNLIKELY(light_select_reached_max_bounces(kg, lamp, bounce))) {
+    return false;
+  }
+
+  return light_sample<in_volume_segment>(kg, lamp, randu, randv, P, path_flag, ls);
+}
+
+ccl_device_inline bool light_distribution_sample_from_volume_segment(KernelGlobals kg,
+                                                                     float randu,
+                                                                     const float randv,
+                                                                     const float time,
+                                                                     const float3 P,
+                                                                     const int bounce,
+                                                                     const uint32_t path_flag,
+                                                                     ccl_private LightSample *ls)
+{
+  return light_distribution_sample<true>(kg, randu, randv, time, P, bounce, path_flag, ls);
+}
+
+ccl_device_inline bool light_distribution_sample_from_position(KernelGlobals kg,
+                                                               float randu,
+                                                               const float randv,
+                                                               const float time,
+                                                               const float3 P,
+                                                               const int bounce,
+                                                               const uint32_t path_flag,
+                                                               ccl_private LightSample *ls)
+{
+  return light_distribution_sample<false>(kg, randu, randv, time, P, bounce, path_flag, ls);
+}
+
+ccl_device_inline bool light_distribution_sample_new_position(KernelGlobals kg,
+                                                              const float randu,
+                                                              const float randv,
+                                                              const float time,
+                                                              const float3 P,
+                                                              ccl_private LightSample *ls)
+{
+  /* Sample a new position on the same light, for volume sampling. */
+  if (ls->type == LIGHT_TRIANGLE) {
+    triangle_light_sample<false>(kg, ls->prim, ls->object, randu, randv, time, ls, P);
+    return (ls->pdf > 0.0f);
+  }
+  else {
+    return light_sample<false>(kg, ls->lamp, randu, randv, P, 0, ls);
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/light/light_background.h b/intern/cycles/kernel/light/light_background.h
new file mode 100644
index 00000000000..78f8c94f7a3
--- /dev/null
+++ b/intern/cycles/kernel/light/light_background.h
@@ -0,0 +1,453 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/light/light_common.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Background Light */
+
+#ifdef __BACKGROUND_MIS__
+
+ccl_device float3 background_map_sample(KernelGlobals kg,
+                                        float randu,
+                                        float randv,
+                                        ccl_private float *pdf)
+{
+  /* for the following, the CDF values are actually a pair of floats, with the
+   * function value as X and the actual CDF as Y.  The last entry's function
+   * value is the CDF total. */
+  int res_x = kernel_data.background.map_res_x;
+  int res_y = kernel_data.background.map_res_y;
+  int cdf_width = res_x + 1;
+
+  /* This is basically std::lower_bound as used by PBRT. */
+  int first = 0;
+  int count = res_y;
+
+  while (count > 0) {
+    int step = count >> 1;
+    int middle = first + step;
+
+    if (kernel_tex_fetch(__light_background_marginal_cdf, middle).y < randv) {
+      first = middle + 1;
+      count -= step + 1;
+    }
+    else
+      count = step;
+  }
+
+  int index_v = max(0, first - 1);
+  kernel_assert(index_v >= 0 && index_v < res_y);
+
+  float2 cdf_v = kernel_tex_fetch(__light_background_marginal_cdf, index_v);
+  float2 cdf_next_v = kernel_tex_fetch(__light_background_marginal_cdf, index_v + 1);
+  float2 cdf_last_v = kernel_tex_fetch(__light_background_marginal_cdf, res_y);
+
+  /* importance-sampled V direction */
+  float dv = inverse_lerp(cdf_v.y, cdf_next_v.y, randv);
+  float v = (index_v + dv) / res_y;
+
+  /* This is basically std::lower_bound as used by PBRT. */
+  first = 0;
+  count = res_x;
+  while (count > 0) {
+    int step = count >> 1;
+    int middle = first + step;
+
+    if (kernel_tex_fetch(__light_background_conditional_cdf, index_v * cdf_width + middle).y <
+        randu) {
+      first = middle + 1;
+      count -= step + 1;
+    }
+    else
+      count = step;
+  }
+
+  int index_u = max(0, first - 1);
+  kernel_assert(index_u >= 0 && index_u < res_x);
+
+  float2 cdf_u = kernel_tex_fetch(__light_background_conditional_cdf,
+                                  index_v * cdf_width + index_u);
+  float2 cdf_next_u = kernel_tex_fetch(__light_background_conditional_cdf,
+                                       index_v * cdf_width + index_u + 1);
+  float2 cdf_last_u = kernel_tex_fetch(__light_background_conditional_cdf,
+                                       index_v * cdf_width + res_x);
+
+  /* importance-sampled U direction */
+  float du = inverse_lerp(cdf_u.y, cdf_next_u.y, randu);
+  float u = (index_u + du) / res_x;
+
+  /* compute pdf */
+  float sin_theta = sinf(M_PI_F * v);
+  float denom = (M_2PI_F * M_PI_F * sin_theta) * cdf_last_u.x * cdf_last_v.x;
+
+  if (sin_theta == 0.0f || denom == 0.0f)
+    *pdf = 0.0f;
+  else
+    *pdf = (cdf_u.x * cdf_v.x) / denom;
+
+  /* compute direction */
+  return equirectangular_to_direction(u, v);
+}
+
+/* TODO(sergey): Same as above, after the release we should consider using
+ * 'noinline' for all devices.
+ */
+ccl_device float background_map_pdf(KernelGlobals kg, float3 direction)
+{
+  float2 uv = direction_to_equirectangular(direction);
+  int res_x = kernel_data.background.map_res_x;
+  int res_y = kernel_data.background.map_res_y;
+  int cdf_width = res_x + 1;
+
+  float sin_theta = sinf(uv.y * M_PI_F);
+
+  if (sin_theta == 0.0f)
+    return 0.0f;
+
+  int index_u = clamp(float_to_int(uv.x * res_x), 0, res_x - 1);
+  int index_v = clamp(float_to_int(uv.y * res_y), 0, res_y - 1);
+
+  /* pdfs in V direction */
+  float2 cdf_last_u = kernel_tex_fetch(__light_background_conditional_cdf,
+                                       index_v * cdf_width + res_x);
+  float2 cdf_last_v = kernel_tex_fetch(__light_background_marginal_cdf, res_y);
+
+  float denom = (M_2PI_F * M_PI_F * sin_theta) * cdf_last_u.x * cdf_last_v.x;
+
+  if (denom == 0.0f)
+    return 0.0f;
+
+  /* pdfs in U direction */
+  float2 cdf_u = kernel_tex_fetch(__light_background_conditional_cdf,
+                                  index_v * cdf_width + index_u);
+  float2 cdf_v = kernel_tex_fetch(__light_background_marginal_cdf, index_v);
+
+  return (cdf_u.x * cdf_v.x) / denom;
+}
+
+ccl_device_inline bool background_portal_data_fetch_and_check_side(
+    KernelGlobals kg, float3 P, int index, ccl_private float3 *lightpos, ccl_private float3 *dir)
+{
+  int portal = kernel_data.background.portal_offset + index;
+  const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, portal);
+
+  *lightpos = make_float3(klight->co[0], klight->co[1], klight->co[2]);
+  *dir = make_float3(klight->area.dir[0], klight->area.dir[1], klight->area.dir[2]);
+
+  /* Check whether portal is on the right side. */
+  if (dot(*dir, P - *lightpos) > 1e-4f)
+    return true;
+
+  return false;
+}
+
+ccl_device_inline float background_portal_pdf(
+    KernelGlobals kg, float3 P, float3 direction, int ignore_portal, ccl_private bool *is_possible)
+{
+  float portal_pdf = 0.0f;
+
+  int num_possible = 0;
+  for (int p = 0; p < kernel_data.background.num_portals; p++) {
+    if (p == ignore_portal)
+      continue;
+
+    float3 lightpos, dir;
+    if (!background_portal_data_fetch_and_check_side(kg, P, p, &lightpos, &dir))
+      continue;
+
+    /* There's a portal that could be sampled from this position. */
+    if (is_possible) {
+      *is_possible = true;
+    }
+    num_possible++;
+
+    int portal = kernel_data.background.portal_offset + p;
+    const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, portal);
+    float3 axisu = make_float3(
+        klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
+    float3 axisv = make_float3(
+        klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
+    bool is_round = (klight->area.invarea < 0.0f);
+
+    if (!ray_quad_intersect(P,
+                            direction,
+                            1e-4f,
+                            FLT_MAX,
+                            lightpos,
+                            axisu,
+                            axisv,
+                            dir,
+                            NULL,
+                            NULL,
+                            NULL,
+                            NULL,
+                            is_round))
+      continue;
+
+    if (is_round) {
+      float t;
+      float3 D = normalize_len(lightpos - P, &t);
+      portal_pdf += fabsf(klight->area.invarea) * lamp_light_pdf(kg, dir, -D, t);
+    }
+    else {
+      portal_pdf += rect_light_sample(P, &lightpos, axisu, axisv, 0.0f, 0.0f, false);
+    }
+  }
+
+  if (ignore_portal >= 0) {
+    /* We have skipped a portal that could be sampled as well. */
+    num_possible++;
+  }
+
+  return (num_possible > 0) ? portal_pdf / num_possible : 0.0f;
+}
+
+ccl_device int background_num_possible_portals(KernelGlobals kg, float3 P)
+{
+  int num_possible_portals = 0;
+  for (int p = 0; p < kernel_data.background.num_portals; p++) {
+    float3 lightpos, dir;
+    if (background_portal_data_fetch_and_check_side(kg, P, p, &lightpos, &dir))
+      num_possible_portals++;
+  }
+  return num_possible_portals;
+}
+
+ccl_device float3 background_portal_sample(KernelGlobals kg,
+                                           float3 P,
+                                           float randu,
+                                           float randv,
+                                           int num_possible,
+                                           ccl_private int *sampled_portal,
+                                           ccl_private float *pdf)
+{
+  /* Pick a portal, then re-normalize randv. */
+  randv *= num_possible;
+  int portal = (int)randv;
+  randv -= portal;
+
+  /* TODO(sergey): Some smarter way of finding portal to sample
+   * is welcome.
+   */
+  for (int p = 0; p < kernel_data.background.num_portals; p++) {
+    /* Search for the sampled portal. */
+    float3 lightpos, dir;
+    if (!background_portal_data_fetch_and_check_side(kg, P, p, &lightpos, &dir))
+      continue;
+
+    if (portal == 0) {
+      /* p is the portal to be sampled. */
+      int portal = kernel_data.background.portal_offset + p;
+      const ccl_global KernelLight *klight = &kernel_tex_fetch(__lights, portal);
+      float3 axisu = make_float3(
+          klight->area.axisu[0], klight->area.axisu[1], klight->area.axisu[2]);
+      float3 axisv = make_float3(
+          klight->area.axisv[0], klight->area.axisv[1], klight->area.axisv[2]);
+      bool is_round = (klight->area.invarea < 0.0f);
+
+      float3 D;
+      if (is_round) {
+        lightpos += ellipse_sample(axisu * 0.5f, axisv * 0.5f, randu, randv);
+        float t;
+        D = normalize_len(lightpos - P, &t);
+        *pdf = fabsf(klight->area.invarea) * lamp_light_pdf(kg, dir, -D, t);
+      }
+      else {
+        *pdf = rect_light_sample(P, &lightpos, axisu, axisv, randu, randv, true);
+        D = normalize(lightpos - P);
+      }
+
+      *pdf /= num_possible;
+      *sampled_portal = p;
+      return D;
+    }
+
+    portal--;
+  }
+
+  return zero_float3();
+}
+
+ccl_device_inline float3 background_sun_sample(KernelGlobals kg,
+                                               float randu,
+                                               float randv,
+                                               ccl_private float *pdf)
+{
+  float3 D;
+  const float3 N = float4_to_float3(kernel_data.background.sun);
+  const float angle = kernel_data.background.sun.w;
+  sample_uniform_cone(N, angle, randu, randv, &D, pdf);
+  return D;
+}
+
+ccl_device_inline float background_sun_pdf(KernelGlobals kg, float3 D)
+{
+  const float3 N = float4_to_float3(kernel_data.background.sun);
+  const float angle = kernel_data.background.sun.w;
+  return pdf_uniform_cone(N, D, angle);
+}
+
+ccl_device_inline float3 background_light_sample(
+    KernelGlobals kg, float3 P, float randu, float randv, ccl_private float *pdf)
+{
+  float portal_method_pdf = kernel_data.background.portal_weight;
+  float sun_method_pdf = kernel_data.background.sun_weight;
+  float map_method_pdf = kernel_data.background.map_weight;
+
+  int num_portals = 0;
+  if (portal_method_pdf > 0.0f) {
+    /* Check if there are portals in the scene which we can sample. */
+    num_portals = background_num_possible_portals(kg, P);
+    if (num_portals == 0) {
+      portal_method_pdf = 0.0f;
+    }
+  }
+
+  float pdf_fac = (portal_method_pdf + sun_method_pdf + map_method_pdf);
+  if (pdf_fac == 0.0f) {
+    /* Use uniform as a fallback if we can't use any strategy. */
+    *pdf = 1.0f / M_4PI_F;
+    return sample_uniform_sphere(randu, randv);
+  }
+
+  pdf_fac = 1.0f / pdf_fac;
+  portal_method_pdf *= pdf_fac;
+  sun_method_pdf *= pdf_fac;
+  map_method_pdf *= pdf_fac;
+
+  /* We have 100% in total and split it between the three categories.
+   * Therefore, we pick portals if randu is between 0 and portal_method_pdf,
+   * sun if randu is between portal_method_pdf and (portal_method_pdf + sun_method_pdf)
+   * and map if randu is between (portal_method_pdf + sun_method_pdf) and 1. */
+  float sun_method_cdf = portal_method_pdf + sun_method_pdf;
+
+  int method = 0;
+  float3 D;
+  if (randu < portal_method_pdf) {
+    method = 0;
+    /* Rescale randu. */
+    if (portal_method_pdf != 1.0f) {
+      randu /= portal_method_pdf;
+    }
+
+    /* Sample a portal. */
+    int portal;
+    D = background_portal_sample(kg, P, randu, randv, num_portals, &portal, pdf);
+    if (num_portals > 1) {
+      /* Ignore the chosen portal, its pdf is already included. */
+      *pdf += background_portal_pdf(kg, P, D, portal, NULL);
+    }
+
+    /* Skip MIS if this is the only method. */
+    if (portal_method_pdf == 1.0f) {
+      return D;
+    }
+    *pdf *= portal_method_pdf;
+  }
+  else if (randu < sun_method_cdf) {
+    method = 1;
+    /* Rescale randu. */
+    if (sun_method_pdf != 1.0f) {
+      randu = (randu - portal_method_pdf) / sun_method_pdf;
+    }
+
+    D = background_sun_sample(kg, randu, randv, pdf);
+
+    /* Skip MIS if this is the only method. */
+    if (sun_method_pdf == 1.0f) {
+      return D;
+    }
+    *pdf *= sun_method_pdf;
+  }
+  else {
+    method = 2;
+    /* Rescale randu. */
+    if (map_method_pdf != 1.0f) {
+      randu = (randu - sun_method_cdf) / map_method_pdf;
+    }
+
+    D = background_map_sample(kg, randu, randv, pdf);
+
+    /* Skip MIS if this is the only method. */
+    if (map_method_pdf == 1.0f) {
+      return D;
+    }
+    *pdf *= map_method_pdf;
+  }
+
+  /* MIS weighting. */
+  if (method != 0 && portal_method_pdf != 0.0f) {
+    *pdf += portal_method_pdf * background_portal_pdf(kg, P, D, -1, NULL);
+  }
+  if (method != 1 && sun_method_pdf != 0.0f) {
+    *pdf += sun_method_pdf * background_sun_pdf(kg, D);
+  }
+  if (method != 2 && map_method_pdf != 0.0f) {
+    *pdf += map_method_pdf * background_map_pdf(kg, D);
+  }
+  return D;
+}
+
+ccl_device float background_light_pdf(KernelGlobals kg, float3 P, float3 direction)
+{
+  float portal_method_pdf = kernel_data.background.portal_weight;
+  float sun_method_pdf = kernel_data.background.sun_weight;
+  float map_method_pdf = kernel_data.background.map_weight;
+
+  float portal_pdf = 0.0f;
+  /* Portals are a special case here since we need to compute their pdf in order
+   * to find out if we can sample them. */
+  if (portal_method_pdf > 0.0f) {
+    /* Evaluate PDF of sampling this direction by portal sampling. */
+    bool is_possible = false;
+    portal_pdf = background_portal_pdf(kg, P, direction, -1, &is_possible);
+    if (!is_possible) {
+      /* Portal sampling is not possible here because all portals point to the wrong side.
+       * If other methods can be used instead, do so, otherwise uniform sampling is used as a
+       * fallback. */
+      portal_method_pdf = 0.0f;
+    }
+  }
+
+  float pdf_fac = (portal_method_pdf + sun_method_pdf + map_method_pdf);
+  if (pdf_fac == 0.0f) {
+    /* Use uniform as a fallback if we can't use any strategy. */
+    return kernel_data.integrator.pdf_lights / M_4PI_F;
+  }
+
+  pdf_fac = 1.0f / pdf_fac;
+  portal_method_pdf *= pdf_fac;
+  sun_method_pdf *= pdf_fac;
+  map_method_pdf *= pdf_fac;
+
+  float pdf = portal_pdf * portal_method_pdf;
+  if (sun_method_pdf != 0.0f) {
+    pdf += background_sun_pdf(kg, direction) * sun_method_pdf;
+  }
+  if (map_method_pdf != 0.0f) {
+    pdf += background_map_pdf(kg, direction) * map_method_pdf;
+  }
+
+  return pdf * kernel_data.integrator.pdf_lights;
+}
+
+#endif
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/light/light_common.h b/intern/cycles/kernel/light/light_common.h
new file mode 100644
index 00000000000..207e89090cc
--- /dev/null
+++ b/intern/cycles/kernel/light/light_common.h
@@ -0,0 +1,227 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/sample/sample_mapping.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Area light sampling */
+
+/* Uses the following paper:
+ *
+ * Carlos Urena et al.
+ * An Area-Preserving Parametrization for Spherical Rectangles.
+ *
+ * https://www.solidangle.com/research/egsr2013_spherical_rectangle.pdf
+ *
+ * Note: light_p is modified when sample_coord is true.
+ */
+ccl_device_inline float rect_light_sample(float3 P,
+                                          ccl_private float3 *light_p,
+                                          float3 axisu,
+                                          float3 axisv,
+                                          float randu,
+                                          float randv,
+                                          bool sample_coord)
+{
+  /* In our name system we're using P for the center,
+   * which is o in the paper.
+   */
+
+  float3 corner = *light_p - axisu * 0.5f - axisv * 0.5f;
+  float axisu_len, axisv_len;
+  /* Compute local reference system R. */
+  float3 x = normalize_len(axisu, &axisu_len);
+  float3 y = normalize_len(axisv, &axisv_len);
+  float3 z = cross(x, y);
+  /* Compute rectangle coords in local reference system. */
+  float3 dir = corner - P;
+  float z0 = dot(dir, z);
+  /* Flip 'z' to make it point against Q. */
+  if (z0 > 0.0f) {
+    z *= -1.0f;
+    z0 *= -1.0f;
+  }
+  float x0 = dot(dir, x);
+  float y0 = dot(dir, y);
+  float x1 = x0 + axisu_len;
+  float y1 = y0 + axisv_len;
+  /* Compute internal angles (gamma_i). */
+  float4 diff = make_float4(x0, y1, x1, y0) - make_float4(x1, y0, x0, y1);
+  float4 nz = make_float4(y0, x1, y1, x0) * diff;
+  nz = nz / sqrt(z0 * z0 * diff * diff + nz * nz);
+  float g0 = safe_acosf(-nz.x * nz.y);
+  float g1 = safe_acosf(-nz.y * nz.z);
+  float g2 = safe_acosf(-nz.z * nz.w);
+  float g3 = safe_acosf(-nz.w * nz.x);
+  /* Compute predefined constants. */
+  float b0 = nz.x;
+  float b1 = nz.z;
+  float b0sq = b0 * b0;
+  float k = M_2PI_F - g2 - g3;
+  /* Compute solid angle from internal angles. */
+  float S = g0 + g1 - k;
+
+  if (sample_coord) {
+    /* Compute cu. */
+    float au = randu * S + k;
+    float fu = (cosf(au) * b0 - b1) / sinf(au);
+    float cu = 1.0f / sqrtf(fu * fu + b0sq) * (fu > 0.0f ? 1.0f : -1.0f);
+    cu = clamp(cu, -1.0f, 1.0f);
+    /* Compute xu. */
+    float xu = -(cu * z0) / max(sqrtf(1.0f - cu * cu), 1e-7f);
+    xu = clamp(xu, x0, x1);
+    /* Compute yv. */
+    float z0sq = z0 * z0;
+    float y0sq = y0 * y0;
+    float y1sq = y1 * y1;
+    float d = sqrtf(xu * xu + z0sq);
+    float h0 = y0 / sqrtf(d * d + y0sq);
+    float h1 = y1 / sqrtf(d * d + y1sq);
+    float hv = h0 + randv * (h1 - h0), hv2 = hv * hv;
+    float yv = (hv2 < 1.0f - 1e-6f) ? (hv * d) / sqrtf(1.0f - hv2) : y1;
+
+    /* Transform (xu, yv, z0) to world coords. */
+    *light_p = P + xu * x + yv * y + z0 * z;
+  }
+
+  /* return pdf */
+  if (S != 0.0f)
+    return 1.0f / S;
+  else
+    return 0.0f;
+}
+
+ccl_device_inline float3 ellipse_sample(float3 ru, float3 rv, float randu, float randv)
+{
+  to_unit_disk(&randu, &randv);
+  return ru * randu + rv * randv;
+}
+
+ccl_device float3 disk_light_sample(float3 v, float randu, float randv)
+{
+  float3 ru, rv;
+
+  make_orthonormals(v, &ru, &rv);
+
+  return ellipse_sample(ru, rv, randu, randv);
+}
+
+ccl_device float3 distant_light_sample(float3 D, float radius, float randu, float randv)
+{
+  return normalize(D + disk_light_sample(D, randu, randv) * radius);
+}
+
+ccl_device float3
+sphere_light_sample(float3 P, float3 center, float radius, float randu, float randv)
+{
+  return disk_light_sample(normalize(P - center), randu, randv) * radius;
+}
+
+ccl_device float spot_light_attenuation(float3 dir, float spot_angle, float spot_smooth, float3 N)
+{
+  float attenuation = dot(dir, N);
+
+  if (attenuation <= spot_angle) {
+    attenuation = 0.0f;
+  }
+  else {
+    float t = attenuation - spot_angle;
+
+    if (t < spot_smooth && spot_smooth != 0.0f)
+      attenuation *= smoothstepf(t / spot_smooth);
+  }
+
+  return attenuation;
+}
+
+ccl_device float light_spread_attenuation(const float3 D,
+                                          const float3 lightNg,
+                                          const float tan_spread,
+                                          const float normalize_spread)
+{
+  /* Model a soft-box grid, computing the ratio of light not hidden by the
+   * slats of the grid at a given angle. (see D10594). */
+  const float cos_a = -dot(D, lightNg);
+  const float sin_a = safe_sqrtf(1.0f - sqr(cos_a));
+  const float tan_a = sin_a / cos_a;
+  return max((1.0f - (tan_spread * tan_a)) * normalize_spread, 0.0f);
+}
+
+/* Compute subset of area light that actually has an influence on the shading point, to
+ * reduce noise with low spread. */
+ccl_device bool light_spread_clamp_area_light(const float3 P,
+                                              const float3 lightNg,
+                                              ccl_private float3 *lightP,
+                                              ccl_private float3 *axisu,
+                                              ccl_private float3 *axisv,
+                                              const float tan_spread)
+{
+  /* Closest point in area light plane and distance to that plane. */
+  const float3 closest_P = P - dot(lightNg, P - *lightP) * lightNg;
+  const float t = len(closest_P - P);
+
+  /* Radius of circle on area light that actually affects the shading point. */
+  const float radius = t / tan_spread;
+
+  /* TODO: would be faster to store as normalized vector + length, also in rect_light_sample. */
+  float len_u, len_v;
+  const float3 u = normalize_len(*axisu, &len_u);
+  const float3 v = normalize_len(*axisv, &len_v);
+
+  /* Local uv coordinates of closest point. */
+  const float closest_u = dot(u, closest_P - *lightP);
+  const float closest_v = dot(v, closest_P - *lightP);
+
+  /* Compute rectangle encompassing the circle that affects the shading point,
+   * clamped to the bounds of the area light. */
+  const float min_u = max(closest_u - radius, -len_u * 0.5f);
+  const float max_u = min(closest_u + radius, len_u * 0.5f);
+  const float min_v = max(closest_v - radius, -len_v * 0.5f);
+  const float max_v = min(closest_v + radius, len_v * 0.5f);
+
+  /* Skip if rectangle is empty. */
+  if (min_u >= max_u || min_v >= max_v) {
+    return false;
+  }
+
+  /* Compute new area light center position and axes from rectangle in local
+   * uv coordinates. */
+  const float new_center_u = 0.5f * (min_u + max_u);
+  const float new_center_v = 0.5f * (min_v + max_v);
+  const float new_len_u = max_u - min_u;
+  const float new_len_v = max_v - min_v;
+
+  *lightP = *lightP + new_center_u * u + new_center_v * v;
+  *axisu = u * new_len_u;
+  *axisv = v * new_len_v;
+
+  return true;
+}
+
+ccl_device float lamp_light_pdf(KernelGlobals kg, const float3 Ng, const float3 I, float t)
+{
+  float cos_pi = dot(Ng, I);
+
+  if (cos_pi <= 0.0f)
+    return 0.0f;
+
+  return t * t / cos_pi;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/light/light_sample.h b/intern/cycles/kernel/light/light_sample.h
new file mode 100644
index 00000000000..4ae5d9e1944
--- /dev/null
+++ b/intern/cycles/kernel/light/light_sample.h
@@ -0,0 +1,271 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_shader_eval.h"
+
+#include "kernel/light/light.h"
+
+#include "kernel/sample/sample_mapping.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Evaluate shader on light. */
+ccl_device_noinline_cpu float3
+light_sample_shader_eval(KernelGlobals kg,
+                         IntegratorState state,
+                         ccl_private ShaderData *ccl_restrict emission_sd,
+                         ccl_private LightSample *ccl_restrict ls,
+                         float time)
+{
+  /* setup shading at emitter */
+  float3 eval = zero_float3();
+
+  if (shader_constant_emission_eval(kg, ls->shader, &eval)) {
+    if ((ls->prim != PRIM_NONE) && dot(ls->Ng, ls->D) > 0.0f) {
+      ls->Ng = -ls->Ng;
+    }
+  }
+  else {
+    /* Setup shader data and call shader_eval_surface once, better
+     * for GPU coherence and compile times. */
+    PROFILING_INIT_FOR_SHADER(kg, PROFILING_SHADE_LIGHT_SETUP);
+#ifdef __BACKGROUND_MIS__
+    if (ls->type == LIGHT_BACKGROUND) {
+      shader_setup_from_background(kg, emission_sd, ls->P, ls->D, time);
+    }
+    else
+#endif
+    {
+      shader_setup_from_sample(kg,
+                               emission_sd,
+                               ls->P,
+                               ls->Ng,
+                               -ls->D,
+                               ls->shader,
+                               ls->object,
+                               ls->prim,
+                               ls->u,
+                               ls->v,
+                               ls->t,
+                               time,
+                               false,
+                               ls->lamp);
+
+      ls->Ng = emission_sd->Ng;
+    }
+
+    PROFILING_SHADER(emission_sd->object, emission_sd->shader);
+    PROFILING_EVENT(PROFILING_SHADE_LIGHT_EVAL);
+
+    /* No proper path flag, we're evaluating this for all closures. that's
+     * weak but we'd have to do multiple evaluations otherwise. */
+    shader_eval_surface<KERNEL_FEATURE_NODE_MASK_SURFACE_LIGHT>(
+        kg, state, emission_sd, NULL, PATH_RAY_EMISSION);
+
+    /* Evaluate closures. */
+#ifdef __BACKGROUND_MIS__
+    if (ls->type == LIGHT_BACKGROUND) {
+      eval = shader_background_eval(emission_sd);
+    }
+    else
+#endif
+    {
+      eval = shader_emissive_eval(emission_sd);
+    }
+  }
+
+  eval *= ls->eval_fac;
+
+  if (ls->lamp != LAMP_NONE) {
+    ccl_global const KernelLight *klight = &kernel_tex_fetch(__lights, ls->lamp);
+    eval *= make_float3(klight->strength[0], klight->strength[1], klight->strength[2]);
+  }
+
+  return eval;
+}
+
+/* Test if light sample is from a light or emission from geometry. */
+ccl_device_inline bool light_sample_is_light(ccl_private const LightSample *ccl_restrict ls)
+{
+  /* return if it's a lamp for shadow pass */
+  return (ls->prim == PRIM_NONE && ls->type != LIGHT_BACKGROUND);
+}
+
+/* Early path termination of shadow rays. */
+ccl_device_inline bool light_sample_terminate(KernelGlobals kg,
+                                              ccl_private const LightSample *ccl_restrict ls,
+                                              ccl_private BsdfEval *ccl_restrict eval,
+                                              const float rand_terminate)
+{
+  if (bsdf_eval_is_zero(eval)) {
+    return true;
+  }
+
+  if (kernel_data.integrator.light_inv_rr_threshold > 0.0f) {
+    float probability = max3(fabs(bsdf_eval_sum(eval))) *
+                        kernel_data.integrator.light_inv_rr_threshold;
+    if (probability < 1.0f) {
+      if (rand_terminate >= probability) {
+        return true;
+      }
+      bsdf_eval_mul(eval, 1.0f / probability);
+    }
+  }
+
+  return false;
+}
+
+/* This function should be used to compute a modified ray start position for
+ * rays leaving from a surface. The algorithm slightly distorts flat surface
+ * of a triangle. Surface is lifted by amount h along normal n in the incident
+ * point. */
+
+ccl_device_inline float3 shadow_ray_smooth_surface_offset(
+    KernelGlobals kg, ccl_private const ShaderData *ccl_restrict sd, float3 Ng)
+{
+  float3 V[3], N[3];
+  triangle_vertices_and_normals(kg, sd->prim, V, N);
+
+  const float u = sd->u, v = sd->v;
+  const float w = 1 - u - v;
+  float3 P = V[0] * u + V[1] * v + V[2] * w; /* Local space */
+  float3 n = N[0] * u + N[1] * v + N[2] * w; /* We get away without normalization */
+
+  object_normal_transform(kg, sd, &n); /* Normal x scale, world space */
+
+  /* Parabolic approximation */
+  float a = dot(N[2] - N[0], V[0] - V[2]);
+  float b = dot(N[2] - N[1], V[1] - V[2]);
+  float c = dot(N[1] - N[0], V[1] - V[0]);
+  float h = a * u * (u - 1) + (a + b + c) * u * v + b * v * (v - 1);
+
+  /* Check flipped normals */
+  if (dot(n, Ng) > 0) {
+    /* Local linear envelope */
+    float h0 = max(max(dot(V[1] - V[0], N[0]), dot(V[2] - V[0], N[0])), 0.0f);
+    float h1 = max(max(dot(V[0] - V[1], N[1]), dot(V[2] - V[1], N[1])), 0.0f);
+    float h2 = max(max(dot(V[0] - V[2], N[2]), dot(V[1] - V[2], N[2])), 0.0f);
+    h0 = max(dot(V[0] - P, N[0]) + h0, 0.0f);
+    h1 = max(dot(V[1] - P, N[1]) + h1, 0.0f);
+    h2 = max(dot(V[2] - P, N[2]) + h2, 0.0f);
+    h = max(min(min(h0, h1), h2), h * 0.5f);
+  }
+  else {
+    float h0 = max(max(dot(V[0] - V[1], N[0]), dot(V[0] - V[2], N[0])), 0.0f);
+    float h1 = max(max(dot(V[1] - V[0], N[1]), dot(V[1] - V[2], N[1])), 0.0f);
+    float h2 = max(max(dot(V[2] - V[0], N[2]), dot(V[2] - V[1], N[2])), 0.0f);
+    h0 = max(dot(P - V[0], N[0]) + h0, 0.0f);
+    h1 = max(dot(P - V[1], N[1]) + h1, 0.0f);
+    h2 = max(dot(P - V[2], N[2]) + h2, 0.0f);
+    h = min(-min(min(h0, h1), h2), h * 0.5f);
+  }
+
+  return n * h;
+}
+
+/* Ray offset to avoid shadow terminator artifact. */
+
+ccl_device_inline float3 shadow_ray_offset(KernelGlobals kg,
+                                           ccl_private const ShaderData *ccl_restrict sd,
+                                           float3 L)
+{
+  float NL = dot(sd->N, L);
+  bool transmit = (NL < 0.0f);
+  float3 Ng = (transmit ? -sd->Ng : sd->Ng);
+  float3 P = ray_offset(sd->P, Ng);
+
+  if ((sd->type & PRIMITIVE_ALL_TRIANGLE) && (sd->shader & SHADER_SMOOTH_NORMAL)) {
+    const float offset_cutoff =
+        kernel_tex_fetch(__objects, sd->object).shadow_terminator_geometry_offset;
+    /* Do ray offset (heavy stuff) only for close to be terminated triangles:
+     * offset_cutoff = 0.1f means that 10-20% of rays will be affected. Also
+     * make a smooth transition near the threshold. */
+    if (offset_cutoff > 0.0f) {
+      float NgL = dot(Ng, L);
+      float offset_amount = 0.0f;
+      if (NL < offset_cutoff) {
+        offset_amount = clamp(2.0f - (NgL + NL) / offset_cutoff, 0.0f, 1.0f);
+      }
+      else {
+        offset_amount = clamp(1.0f - NgL / offset_cutoff, 0.0f, 1.0f);
+      }
+      if (offset_amount > 0.0f) {
+        P += shadow_ray_smooth_surface_offset(kg, sd, Ng) * offset_amount;
+      }
+    }
+  }
+
+  return P;
+}
+
+ccl_device_inline void shadow_ray_setup(ccl_private const ShaderData *ccl_restrict sd,
+                                        ccl_private const LightSample *ccl_restrict ls,
+                                        const float3 P,
+                                        ccl_private Ray *ray)
+{
+  if (ls->shader & SHADER_CAST_SHADOW) {
+    /* setup ray */
+    ray->P = P;
+
+    if (ls->t == FLT_MAX) {
+      /* distant light */
+      ray->D = ls->D;
+      ray->t = ls->t;
+    }
+    else {
+      /* other lights, avoid self-intersection */
+      ray->D = ray_offset(ls->P, ls->Ng) - P;
+      ray->D = normalize_len(ray->D, &ray->t);
+    }
+  }
+  else {
+    /* signal to not cast shadow ray */
+    ray->P = zero_float3();
+    ray->D = zero_float3();
+    ray->t = 0.0f;
+  }
+
+  ray->dP = differential_make_compact(sd->dP);
+  ray->dD = differential_zero_compact();
+  ray->time = sd->time;
+}
+
+/* Create shadow ray towards light sample. */
+ccl_device_inline void light_sample_to_surface_shadow_ray(
+    KernelGlobals kg,
+    ccl_private const ShaderData *ccl_restrict sd,
+    ccl_private const LightSample *ccl_restrict ls,
+    ccl_private Ray *ray)
+{
+  const float3 P = shadow_ray_offset(kg, sd, ls->D);
+  shadow_ray_setup(sd, ls, P, ray);
+}
+
+/* Create shadow ray towards light sample. */
+ccl_device_inline void light_sample_to_volume_shadow_ray(
+    KernelGlobals kg,
+    ccl_private const ShaderData *ccl_restrict sd,
+    ccl_private const LightSample *ccl_restrict ls,
+    const float3 P,
+    ccl_private Ray *ray)
+{
+  shadow_ray_setup(sd, ls, P, ray);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/osl/CMakeLists.txt b/intern/cycles/kernel/osl/CMakeLists.txt
index 6cdc7367fbb..7be1b7129e0 100644
--- a/intern/cycles/kernel/osl/CMakeLists.txt
+++ b/intern/cycles/kernel/osl/CMakeLists.txt
@@ -39,7 +39,7 @@ set(HEADER_SRC
 )
 
 set(LIB
-  cycles_render
+  cycles_scene
 
   ${OSL_LIBRARIES}
   ${OPENIMAGEIO_LIBRARIES}
diff --git a/intern/cycles/kernel/osl/bsdf_diffuse_ramp.cpp b/intern/cycles/kernel/osl/bsdf_diffuse_ramp.cpp
index 45216f4c74d..2ec7f14c0fa 100644
--- a/intern/cycles/kernel/osl/bsdf_diffuse_ramp.cpp
+++ b/intern/cycles/kernel/osl/bsdf_diffuse_ramp.cpp
@@ -39,7 +39,6 @@
 
 // clang-format off
 #include "kernel/kernel_types.h"
-#include "kernel/kernel_montecarlo.h"
 #include "kernel/closure/alloc.h"
 #include "kernel/closure/bsdf_diffuse_ramp.h"
 // clang-format on
diff --git a/intern/cycles/kernel/osl/osl_bssrdf.cpp b/intern/cycles/kernel/osl/osl_bssrdf.cpp
index 5bf7b604498..3b8661ce45d 100644
--- a/intern/cycles/kernel/osl/osl_bssrdf.cpp
+++ b/intern/cycles/kernel/osl/osl_bssrdf.cpp
@@ -37,7 +37,6 @@
 
 // clang-format off
 #include "kernel/kernel_types.h"
-#include "kernel/kernel_montecarlo.h"
 
 #include "kernel/closure/alloc.h"
 #include "kernel/closure/bsdf_util.h"
diff --git a/intern/cycles/kernel/osl/osl_closures.cpp b/intern/cycles/kernel/osl/osl_closures.cpp
index a2062046ae8..89bab35b60b 100644
--- a/intern/cycles/kernel/osl/osl_closures.cpp
+++ b/intern/cycles/kernel/osl/osl_closures.cpp
@@ -44,8 +44,6 @@
 #include "kernel/device/cpu/globals.h"
 
 #include "kernel/kernel_types.h"
-#include "kernel/kernel_montecarlo.h"
-#include "kernel/kernel_random.h"
 
 #include "kernel/closure/alloc.h"
 #include "kernel/closure/bsdf_util.h"
diff --git a/intern/cycles/kernel/osl/osl_services.cpp b/intern/cycles/kernel/osl/osl_services.cpp
index cbe1bf1bfc0..56b04fd280e 100644
--- a/intern/cycles/kernel/osl/osl_services.cpp
+++ b/intern/cycles/kernel/osl/osl_services.cpp
@@ -25,10 +25,10 @@
 
 #include <string.h>
 
-#include "render/colorspace.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
+#include "scene/colorspace.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
 
 #include "kernel/osl/osl_closures.h"
 #include "kernel/osl/osl_globals.h"
@@ -44,19 +44,22 @@
 #include "kernel/device/cpu/globals.h"
 #include "kernel/device/cpu/image.h"
 
-#include "kernel/kernel_differential.h"
+#include "kernel/util/util_differential.h"
 
 #include "kernel/integrator/integrator_state.h"
 #include "kernel/integrator/integrator_state_flow.h"
 
 #include "kernel/geom/geom.h"
+
 #include "kernel/bvh/bvh.h"
 
-#include "kernel/kernel_color.h"
-#include "kernel/kernel_camera.h"
-#include "kernel/kernel_path_state.h"
-#include "kernel/kernel_projection.h"
-#include "kernel/kernel_shader.h"
+#include "kernel/camera/camera.h"
+#include "kernel/camera/camera_projection.h"
+
+#include "kernel/integrator/integrator_path_state.h"
+#include "kernel/integrator/integrator_shader_eval.h"
+
+#include "kernel/util/util_color.h"
 // clang-format on
 
 CCL_NAMESPACE_BEGIN
diff --git a/intern/cycles/kernel/osl/osl_shader.cpp b/intern/cycles/kernel/osl/osl_shader.cpp
index fba207e7230..6426a09b33d 100644
--- a/intern/cycles/kernel/osl/osl_shader.cpp
+++ b/intern/cycles/kernel/osl/osl_shader.cpp
@@ -20,7 +20,6 @@
 #include "kernel/device/cpu/compat.h"
 #include "kernel/device/cpu/globals.h"
 
-#include "kernel/kernel_montecarlo.h"
 #include "kernel/kernel_types.h"
 
 #include "kernel/geom/geom_object.h"
@@ -33,9 +32,7 @@
 #include "kernel/osl/osl_shader.h"
 // clang-format on
 
-#include "util/util_foreach.h"
-
-#include "render/attribute.h"
+#include "scene/attribute.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/osl/shaders/CMakeLists.txt b/intern/cycles/kernel/osl/shaders/CMakeLists.txt
new file mode 100644
index 00000000000..6b62e7bb52f
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/CMakeLists.txt
@@ -0,0 +1,155 @@
+# Copyright 2011-2020 Blender Foundation
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+# OSL node shaders
+
+set(SRC_OSL
+  node_add_closure.osl
+  node_ambient_occlusion.osl
+  node_anisotropic_bsdf.osl
+  node_attribute.osl
+  node_background.osl
+  node_bevel.osl
+  node_brick_texture.osl
+  node_brightness.osl
+  node_bump.osl
+  node_camera.osl
+  node_checker_texture.osl
+  node_clamp.osl
+  node_combine_rgb.osl
+  node_combine_hsv.osl
+  node_combine_xyz.osl
+  node_convert_from_color.osl
+  node_convert_from_float.osl
+  node_convert_from_int.osl
+  node_convert_from_normal.osl
+  node_convert_from_point.osl
+  node_convert_from_vector.osl
+  node_diffuse_bsdf.osl
+  node_displacement.osl
+  node_vector_displacement.osl
+  node_emission.osl
+  node_environment_texture.osl
+  node_float_curve.osl
+  node_fresnel.osl
+  node_gamma.osl
+  node_geometry.osl
+  node_glass_bsdf.osl
+  node_glossy_bsdf.osl
+  node_gradient_texture.osl
+  node_hair_info.osl
+  node_scatter_volume.osl
+  node_absorption_volume.osl
+  node_principled_volume.osl
+  node_holdout.osl
+  node_hsv.osl
+  node_ies_light.osl
+  node_image_texture.osl
+  node_invert.osl
+  node_layer_weight.osl
+  node_light_falloff.osl
+  node_light_path.osl
+  node_magic_texture.osl
+  node_map_range.osl
+  node_mapping.osl
+  node_math.osl
+  node_mix.osl
+  node_mix_closure.osl
+  node_musgrave_texture.osl
+  node_noise_texture.osl
+  node_normal.osl
+  node_normal_map.osl
+  node_object_info.osl
+  node_output_displacement.osl
+  node_output_surface.osl
+  node_output_volume.osl
+  node_particle_info.osl
+  node_refraction_bsdf.osl
+  node_rgb_curves.osl
+  node_rgb_ramp.osl
+  node_separate_rgb.osl
+  node_separate_hsv.osl
+  node_separate_xyz.osl
+  node_set_normal.osl
+  node_sky_texture.osl
+  node_subsurface_scattering.osl
+  node_tangent.osl
+  node_texture_coordinate.osl
+  node_toon_bsdf.osl
+  node_translucent_bsdf.osl
+  node_transparent_bsdf.osl
+  node_value.osl
+  node_vector_curves.osl
+  node_vector_math.osl
+  node_vector_rotate.osl
+  node_vector_transform.osl
+  node_velvet_bsdf.osl
+  node_vertex_color.osl
+  node_voronoi_texture.osl
+  node_voxel_texture.osl
+  node_wavelength.osl
+  node_blackbody.osl
+  node_wave_texture.osl
+  node_white_noise_texture.osl
+  node_wireframe.osl
+  node_hair_bsdf.osl
+  node_principled_hair_bsdf.osl
+  node_uv_map.osl
+  node_principled_bsdf.osl
+  node_rgb_to_bw.osl
+)
+
+# The headers that OSL ships differs per release so we can not
+# hardcode this.
+file(GLOB SRC_OSL_HEADER_DIST ${OSL_SHADER_DIR}/*.h)
+
+set(SRC_OSL_HEADERS
+  node_color.h
+  node_fresnel.h
+  node_hash.h
+  node_math.h
+  node_noise.h
+  node_ramp_util.h
+  stdcycles.h
+  ${SRC_OSL_HEADER_DIST}
+)
+
+set(SRC_OSO
+
+)
+
+# TODO, add a module to compile OSL
+foreach(_file ${SRC_OSL})
+  set(_OSL_FILE ${CMAKE_CURRENT_SOURCE_DIR}/${_file})
+  set_source_files_properties(${_file} PROPERTIES HEADER_FILE_ONLY TRUE)
+  string(REPLACE ".osl" ".oso" _OSO_FILE ${_OSL_FILE})
+  string(REPLACE ${CMAKE_SOURCE_DIR} ${CMAKE_BINARY_DIR} _OSO_FILE ${_OSO_FILE})
+  add_custom_command(
+    OUTPUT ${_OSO_FILE}
+    COMMAND ${OSL_COMPILER} -q -O2  -I"${CMAKE_CURRENT_SOURCE_DIR}" -I"${OSL_SHADER_DIR}" -o ${_OSO_FILE} ${_OSL_FILE}
+    DEPENDS ${_OSL_FILE} ${SRC_OSL_HEADERS} ${OSL_COMPILER})
+  list(APPEND SRC_OSO
+    ${_OSO_FILE}
+  )
+
+  unset(_OSL_FILE)
+  unset(_OSO_FILE)
+endforeach()
+
+add_custom_target(cycles_osl_shaders ALL DEPENDS ${SRC_OSO} ${SRC_OSL_HEADERS} ${OSL_COMPILER} SOURCES ${SRC_OSL})
+cycles_set_solution_folder(cycles_osl_shaders)
+
+# CMAKE_CURRENT_SOURCE_DIR is already included in OSO paths
+delayed_install("" "${SRC_OSO}" ${CYCLES_INSTALL_PATH}/shader)
+delayed_install("${CMAKE_CURRENT_SOURCE_DIR}" "${SRC_OSL_HEADERS}" ${CYCLES_INSTALL_PATH}/shader)
diff --git a/intern/cycles/kernel/osl/shaders/node_absorption_volume.osl b/intern/cycles/kernel/osl/shaders/node_absorption_volume.osl
new file mode 100644
index 00000000000..37ccc4c969f
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_absorption_volume.osl
@@ -0,0 +1,24 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_absorption_volume(color Color = color(0.8, 0.8, 0.8),
+                              float Density = 1.0,
+                              output closure color Volume = 0)
+{
+  Volume = ((color(1.0, 1.0, 1.0) - Color) * max(Density, 0.0)) * absorption();
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_add_closure.osl b/intern/cycles/kernel/osl/shaders/node_add_closure.osl
new file mode 100644
index 00000000000..27ecc9ef0c2
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_add_closure.osl
@@ -0,0 +1,24 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_add_closure(closure color Closure1 = 0,
+                        closure color Closure2 = 0,
+                        output closure color Closure = 0)
+{
+  Closure = Closure1 + Closure2;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_ambient_occlusion.osl b/intern/cycles/kernel/osl/shaders/node_ambient_occlusion.osl
new file mode 100644
index 00000000000..22d245d0698
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_ambient_occlusion.osl
@@ -0,0 +1,43 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_ambient_occlusion(color ColorIn = color(1.0, 1.0, 1.0),
+                              int samples = 16,
+                              float Distance = 1.0,
+                              normal Normal = N,
+                              int inside = 0,
+                              int only_local = 0,
+                              output color ColorOut = color(1.0, 1.0, 1.0),
+                              output float AO = 1.0)
+{
+  int global_radius = (Distance == 0.0 && !isconnected(Distance));
+
+  /* Abuse texture call with special @ao token. */
+  AO = texture("@ao",
+               samples,
+               Distance,
+               Normal[0],
+               Normal[1],
+               Normal[2],
+               inside,
+               "sblur",
+               only_local,
+               "tblur",
+               global_radius);
+  ColorOut = ColorIn * AO;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_anisotropic_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_anisotropic_bsdf.osl
new file mode 100644
index 00000000000..739cd375ab2
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_anisotropic_bsdf.osl
@@ -0,0 +1,57 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+#include "stdcycles.h"
+
+shader node_anisotropic_bsdf(color Color = 0.0,
+                             string distribution = "GGX",
+                             float Roughness = 0.0,
+                             float Anisotropy = 0.0,
+                             float Rotation = 0.0,
+                             normal Normal = N,
+                             normal Tangent = normalize(dPdu),
+                             output closure color BSDF = 0)
+{
+  /* rotate tangent around normal */
+  vector T = Tangent;
+
+  if (Rotation != 0.0)
+    T = rotate(T, Rotation * M_2PI, point(0.0, 0.0, 0.0), Normal);
+
+  /* compute roughness */
+  float roughness = Roughness * Roughness;
+  float roughness_u, roughness_v;
+  float aniso = clamp(Anisotropy, -0.99, 0.99);
+
+  if (aniso < 0.0) {
+    roughness_u = roughness / (1.0 + aniso);
+    roughness_v = roughness * (1.0 + aniso);
+  }
+  else {
+    roughness_u = roughness * (1.0 - aniso);
+    roughness_v = roughness / (1.0 - aniso);
+  }
+
+  if (distribution == "sharp")
+    BSDF = Color * reflection(Normal);
+  else if (distribution == "beckmann")
+    BSDF = Color * microfacet_beckmann_aniso(Normal, T, roughness_u, roughness_v);
+  else if (distribution == "GGX")
+    BSDF = Color * microfacet_ggx_aniso(Normal, T, roughness_u, roughness_v);
+  else if (distribution == "Multiscatter GGX")
+    BSDF = Color * microfacet_multi_ggx_aniso(Normal, T, roughness_u, roughness_v, Color);
+  else
+    BSDF = Color * ashikhmin_shirley(Normal, T, roughness_u, roughness_v);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_attribute.osl b/intern/cycles/kernel/osl/shaders/node_attribute.osl
new file mode 100644
index 00000000000..b7f35956ec7
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_attribute.osl
@@ -0,0 +1,45 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_attribute(string bump_offset = "center",
+                      string name = "",
+                      output point Vector = point(0.0, 0.0, 0.0),
+                      output color Color = 0.0,
+                      output float Fac = 0.0,
+                      output float Alpha = 0.0)
+{
+  float data[4] = {0.0, 0.0, 0.0, 0.0};
+  getattribute(name, data);
+  Color = color(data[0], data[1], data[2]);
+  Vector = point(Color);
+  getattribute(name, Fac);
+  Alpha = data[3];
+
+  if (bump_offset == "dx") {
+    Color += Dx(Color);
+    Vector += Dx(Vector);
+    Fac += Dx(Fac);
+    Alpha += Dx(Alpha);
+  }
+  else if (bump_offset == "dy") {
+    Color += Dy(Color);
+    Vector += Dy(Vector);
+    Fac += Dy(Fac);
+    Alpha += Dy(Alpha);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_background.osl b/intern/cycles/kernel/osl/shaders/node_background.osl
new file mode 100644
index 00000000000..3f45db751b3
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_background.osl
@@ -0,0 +1,24 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_background(color Color = 0.8,
+                       float Strength = 1.0,
+                       output closure color Background = 0)
+{
+  Background = Color * Strength * background();
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_bevel.osl b/intern/cycles/kernel/osl/shaders/node_bevel.osl
new file mode 100644
index 00000000000..e87ddab716d
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_bevel.osl
@@ -0,0 +1,29 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_bevel(int samples = 4,
+                  float Radius = 0.05,
+                  normal NormalIn = N,
+                  output normal NormalOut = N)
+{
+  /* Abuse texture call with special @bevel token. */
+  vector bevel_N = (normal)(color)texture("@bevel", samples, Radius);
+
+  /* Preserve input normal. */
+  NormalOut = normalize(NormalIn + (bevel_N - N));
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_blackbody.osl b/intern/cycles/kernel/osl/shaders/node_blackbody.osl
new file mode 100644
index 00000000000..741efae755d
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_blackbody.osl
@@ -0,0 +1,28 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_blackbody(float Temperature = 1200.0, output color Color = 0.0)
+{
+  color rgb = blackbody(Temperature);
+
+  /* Scale by luminance */
+  float l = luminance(rgb);
+  if (l != 0.0)
+    rgb /= l;
+  Color = rgb;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_brick_texture.osl b/intern/cycles/kernel/osl/shaders/node_brick_texture.osl
new file mode 100644
index 00000000000..075a324c730
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_brick_texture.osl
@@ -0,0 +1,119 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+/* Brick */
+
+float brick_noise(int ns) /* fast integer noise */
+{
+  int nn;
+  int n = (ns + 1013) & 2147483647;
+  n = (n >> 13) ^ n;
+  nn = (n * (n * n * 60493 + 19990303) + 1376312589) & 2147483647;
+  return 0.5 * ((float)nn / 1073741824.0);
+}
+
+float brick(point p,
+            float mortar_size,
+            float mortar_smooth,
+            float bias,
+            float BrickWidth,
+            float row_height,
+            float offset_amount,
+            int offset_frequency,
+            float squash_amount,
+            int squash_frequency,
+            output float tint)
+{
+  int bricknum, rownum;
+  float offset = 0.0;
+  float brick_width = BrickWidth;
+  float x, y;
+
+  rownum = (int)floor(p[1] / row_height);
+
+  if (offset_frequency && squash_frequency) {
+    brick_width *= (rownum % squash_frequency) ? 1.0 : squash_amount;           /* squash */
+    offset = (rownum % offset_frequency) ? 0.0 : (brick_width * offset_amount); /* offset */
+  }
+
+  bricknum = (int)floor((p[0] + offset) / brick_width);
+
+  x = (p[0] + offset) - brick_width * bricknum;
+  y = p[1] - row_height * rownum;
+
+  tint = clamp((brick_noise((rownum << 16) + (bricknum & 65535)) + bias), 0.0, 1.0);
+
+  float min_dist = min(min(x, y), min(brick_width - x, row_height - y));
+  if (min_dist >= mortar_size) {
+    return 0.0;
+  }
+  else if (mortar_smooth == 0.0) {
+    return 1.0;
+  }
+  else {
+    min_dist = 1.0 - min_dist / mortar_size;
+    return smoothstep(0.0, mortar_smooth, min_dist);
+  }
+}
+
+shader node_brick_texture(int use_mapping = 0,
+                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+                          float offset = 0.5,
+                          int offset_frequency = 2,
+                          float squash = 1.0,
+                          int squash_frequency = 1,
+                          point Vector = P,
+                          color Color1 = 0.2,
+                          color Color2 = 0.8,
+                          color Mortar = 0.0,
+                          float Scale = 5.0,
+                          float MortarSize = 0.02,
+                          float MortarSmooth = 0.0,
+                          float Bias = 0.0,
+                          float BrickWidth = 0.5,
+                          float RowHeight = 0.25,
+                          output float Fac = 0.0,
+                          output color Color = 0.2)
+{
+  point p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  float tint = 0.0;
+  color Col = Color1;
+
+  Fac = brick(p * Scale,
+              MortarSize,
+              MortarSmooth,
+              Bias,
+              BrickWidth,
+              RowHeight,
+              offset,
+              offset_frequency,
+              squash,
+              squash_frequency,
+              tint);
+
+  if (Fac != 1.0) {
+    float facm = 1.0 - tint;
+    Col = facm * Color1 + tint * Color2;
+  }
+
+  Color = mix(Col, Mortar, Fac);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_brightness.osl b/intern/cycles/kernel/osl/shaders/node_brightness.osl
new file mode 100644
index 00000000000..019edfb79a3
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_brightness.osl
@@ -0,0 +1,30 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_brightness(color ColorIn = 0.8,
+                       float Bright = 0.0,
+                       float Contrast = 0.0,
+                       output color ColorOut = 0.8)
+{
+  float a = 1.0 + Contrast;
+  float b = Bright - Contrast * 0.5;
+
+  ColorOut[0] = max(a * ColorIn[0] + b, 0.0);
+  ColorOut[1] = max(a * ColorIn[1] + b, 0.0);
+  ColorOut[2] = max(a * ColorIn[2] + b, 0.0);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_bump.osl b/intern/cycles/kernel/osl/shaders/node_bump.osl
new file mode 100644
index 00000000000..811182f40b5
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_bump.osl
@@ -0,0 +1,68 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+/* "Bump Mapping Unparameterized Surfaces on the GPU"
+ * Morten S. Mikkelsen, 2010 */
+
+surface node_bump(int invert = 0,
+                  int use_object_space = 0,
+                  normal NormalIn = N,
+                  float Strength = 0.1,
+                  float Distance = 1.0,
+                  float SampleCenter = 0.0,
+                  float SampleX = 0.0,
+                  float SampleY = 0.0,
+                  output normal NormalOut = N)
+{
+  point Ptmp = P;
+  normal Normal = NormalIn;
+
+  if (use_object_space) {
+    Ptmp = transform("object", Ptmp);
+    Normal = normalize(transform("object", Normal));
+  }
+
+  /* get surface tangents from normal */
+  vector dPdx = Dx(Ptmp);
+  vector dPdy = Dy(Ptmp);
+
+  vector Rx = cross(dPdy, Normal);
+  vector Ry = cross(Normal, dPdx);
+
+  /* compute surface gradient and determinant */
+  float det = dot(dPdx, Rx);
+  vector surfgrad = (SampleX - SampleCenter) * Rx + (SampleY - SampleCenter) * Ry;
+
+  float absdet = fabs(det);
+
+  float strength = max(Strength, 0.0);
+  float dist = Distance;
+
+  if (invert)
+    dist *= -1.0;
+
+  /* compute and output perturbed normal */
+  NormalOut = normalize(absdet * Normal - dist * sign(det) * surfgrad);
+  NormalOut = normalize(strength * NormalOut + (1.0 - strength) * Normal);
+
+  if (use_object_space) {
+    NormalOut = normalize(transform("object", "world", NormalOut));
+  }
+
+  NormalOut = ensure_valid_reflection(Ng, I, NormalOut);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_camera.osl b/intern/cycles/kernel/osl/shaders/node_camera.osl
new file mode 100644
index 00000000000..45ca50c6e1e
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_camera.osl
@@ -0,0 +1,29 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_camera(output vector ViewVector = vector(0.0, 0.0, 0.0),
+                   output float ViewZDepth = 0.0,
+                   output float ViewDistance = 0.0)
+{
+  ViewVector = (vector)transform("world", "camera", P);
+
+  ViewZDepth = fabs(ViewVector[2]);
+  ViewDistance = length(ViewVector);
+
+  ViewVector = normalize(ViewVector);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_checker_texture.osl b/intern/cycles/kernel/osl/shaders/node_checker_texture.osl
new file mode 100644
index 00000000000..d6a30dbdb40
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_checker_texture.osl
@@ -0,0 +1,62 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+/* Checker */
+
+float checker(point ip)
+{
+  point p;
+  p[0] = (ip[0] + 0.000001) * 0.999999;
+  p[1] = (ip[1] + 0.000001) * 0.999999;
+  p[2] = (ip[2] + 0.000001) * 0.999999;
+
+  int xi = (int)fabs(floor(p[0]));
+  int yi = (int)fabs(floor(p[1]));
+  int zi = (int)fabs(floor(p[2]));
+
+  if ((xi % 2 == yi % 2) == (zi % 2)) {
+    return 1.0;
+  }
+  else {
+    return 0.0;
+  }
+}
+
+shader node_checker_texture(
+    int use_mapping = 0,
+    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+    float Scale = 5.0,
+    point Vector = P,
+    color Color1 = 0.8,
+    color Color2 = 0.2,
+    output float Fac = 0.0,
+    output color Color = 0.0)
+{
+  point p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  Fac = checker(p * Scale);
+  if (Fac == 1.0) {
+    Color = Color1;
+  }
+  else {
+    Color = Color2;
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_clamp.osl b/intern/cycles/kernel/osl/shaders/node_clamp.osl
new file mode 100644
index 00000000000..b600fb7c455
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_clamp.osl
@@ -0,0 +1,27 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_clamp(string clamp_type = "minmax",
+                  float Value = 1.0,
+                  float Min = 0.0,
+                  float Max = 1.0,
+                  output float Result = 0.0)
+{
+  Result = (clamp_type == "range" && (Min > Max)) ? clamp(Value, Max, Min) :
+                                                    clamp(Value, Min, Max);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_color.h b/intern/cycles/kernel/osl/shaders/node_color.h
new file mode 100644
index 00000000000..276c91843e8
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_color.h
@@ -0,0 +1,163 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/* TODO(lukas): Fix colors in OSL. */
+
+float color_srgb_to_scene_linear(float c)
+{
+  if (c < 0.04045)
+    return (c < 0.0) ? 0.0 : c * (1.0 / 12.92);
+  else
+    return pow((c + 0.055) * (1.0 / 1.055), 2.4);
+}
+
+float color_scene_linear_to_srgb(float c)
+{
+  if (c < 0.0031308)
+    return (c < 0.0) ? 0.0 : c * 12.92;
+  else
+    return 1.055 * pow(c, 1.0 / 2.4) - 0.055;
+}
+
+color color_srgb_to_scene_linear(color c)
+{
+  return color(color_srgb_to_scene_linear(c[0]),
+               color_srgb_to_scene_linear(c[1]),
+               color_srgb_to_scene_linear(c[2]));
+}
+
+color color_scene_linear_to_srgb(color c)
+{
+  return color(color_scene_linear_to_srgb(c[0]),
+               color_scene_linear_to_srgb(c[1]),
+               color_scene_linear_to_srgb(c[2]));
+}
+
+color color_unpremultiply(color c, float alpha)
+{
+  if (alpha != 1.0 && alpha != 0.0)
+    return c / alpha;
+
+  return c;
+}
+
+/* Color Operations */
+
+color xyY_to_xyz(float x, float y, float Y)
+{
+  float X, Z;
+
+  if (y != 0.0)
+    X = (x / y) * Y;
+  else
+    X = 0.0;
+
+  if (y != 0.0 && Y != 0.0)
+    Z = ((1.0 - x - y) / y) * Y;
+  else
+    Z = 0.0;
+
+  return color(X, Y, Z);
+}
+
+color xyz_to_rgb(float x, float y, float z)
+{
+  return color(3.240479 * x + -1.537150 * y + -0.498535 * z,
+               -0.969256 * x + 1.875991 * y + 0.041556 * z,
+               0.055648 * x + -0.204043 * y + 1.057311 * z);
+}
+
+color rgb_to_hsv(color rgb)
+{
+  float cmax, cmin, h, s, v, cdelta;
+  color c;
+
+  cmax = max(rgb[0], max(rgb[1], rgb[2]));
+  cmin = min(rgb[0], min(rgb[1], rgb[2]));
+  cdelta = cmax - cmin;
+
+  v = cmax;
+
+  if (cmax != 0.0) {
+    s = cdelta / cmax;
+  }
+  else {
+    s = 0.0;
+    h = 0.0;
+  }
+
+  if (s == 0.0) {
+    h = 0.0;
+  }
+  else {
+    c = (color(cmax, cmax, cmax) - rgb) / cdelta;
+
+    if (rgb[0] == cmax)
+      h = c[2] - c[1];
+    else if (rgb[1] == cmax)
+      h = 2.0 + c[0] - c[2];
+    else
+      h = 4.0 + c[1] - c[0];
+
+    h /= 6.0;
+
+    if (h < 0.0)
+      h += 1.0;
+  }
+
+  return color(h, s, v);
+}
+
+color hsv_to_rgb(color hsv)
+{
+  float i, f, p, q, t, h, s, v;
+  color rgb;
+
+  h = hsv[0];
+  s = hsv[1];
+  v = hsv[2];
+
+  if (s == 0.0) {
+    rgb = color(v, v, v);
+  }
+  else {
+    if (h == 1.0)
+      h = 0.0;
+
+    h *= 6.0;
+    i = floor(h);
+    f = h - i;
+    rgb = color(f, f, f);
+    p = v * (1.0 - s);
+    q = v * (1.0 - (s * f));
+    t = v * (1.0 - (s * (1.0 - f)));
+
+    if (i == 0.0)
+      rgb = color(v, t, p);
+    else if (i == 1.0)
+      rgb = color(q, v, p);
+    else if (i == 2.0)
+      rgb = color(p, v, t);
+    else if (i == 3.0)
+      rgb = color(p, q, v);
+    else if (i == 4.0)
+      rgb = color(t, p, v);
+    else
+      rgb = color(v, p, q);
+  }
+
+  return rgb;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_combine_hsv.osl b/intern/cycles/kernel/osl/shaders/node_combine_hsv.osl
new file mode 100644
index 00000000000..05e502b5bc1
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_combine_hsv.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_combine_hsv(float H = 0.0, float S = 0.0, float V = 0.0, output color Color = 0.8)
+{
+  Color = color("hsv", H, S, V);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_combine_rgb.osl b/intern/cycles/kernel/osl/shaders/node_combine_rgb.osl
new file mode 100644
index 00000000000..036f371eb5c
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_combine_rgb.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_combine_rgb(float R = 0.0, float G = 0.0, float B = 0.0, output color Image = 0.8)
+{
+  Image = color(R, G, B);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_combine_xyz.osl b/intern/cycles/kernel/osl/shaders/node_combine_xyz.osl
new file mode 100644
index 00000000000..4ebd86b605c
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_combine_xyz.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2014 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_combine_xyz(float X = 0.0, float Y = 0.0, float Z = 0.0, output vector Vector = 0.8)
+{
+  Vector = vector(X, Y, Z);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_convert_from_color.osl b/intern/cycles/kernel/osl/shaders/node_convert_from_color.osl
new file mode 100644
index 00000000000..c3f0e118844
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_convert_from_color.osl
@@ -0,0 +1,32 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_convert_from_color(color value_color = 0.0,
+                               output string value_string = "",
+                               output float value_float = 0.0,
+                               output int value_int = 0,
+                               output vector value_vector = vector(0.0, 0.0, 0.0),
+                               output point value_point = point(0.0, 0.0, 0.0),
+                               output normal value_normal = normal(0.0, 0.0, 0.0))
+{
+  value_float = value_color[0] * 0.2126 + value_color[1] * 0.7152 + value_color[2] * 0.0722;
+  value_int = (int)(value_color[0] * 0.2126 + value_color[1] * 0.7152 + value_color[2] * 0.0722);
+  value_vector = vector(value_color[0], value_color[1], value_color[2]);
+  value_point = point(value_color[0], value_color[1], value_color[2]);
+  value_normal = normal(value_color[0], value_color[1], value_color[2]);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_convert_from_float.osl b/intern/cycles/kernel/osl/shaders/node_convert_from_float.osl
new file mode 100644
index 00000000000..61a15a1c2b0
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_convert_from_float.osl
@@ -0,0 +1,32 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_convert_from_float(float value_float = 0.0,
+                               output string value_string = "",
+                               output int value_int = 0,
+                               output color value_color = 0.0,
+                               output vector value_vector = vector(0.0, 0.0, 0.0),
+                               output point value_point = point(0.0, 0.0, 0.0),
+                               output normal value_normal = normal(0.0, 0.0, 0.0))
+{
+  value_int = (int)value_float;
+  value_color = color(value_float, value_float, value_float);
+  value_vector = vector(value_float, value_float, value_float);
+  value_point = point(value_float, value_float, value_float);
+  value_normal = normal(value_float, value_float, value_float);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_convert_from_int.osl b/intern/cycles/kernel/osl/shaders/node_convert_from_int.osl
new file mode 100644
index 00000000000..2e6a99b2765
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_convert_from_int.osl
@@ -0,0 +1,33 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_convert_from_int(int value_int = 0,
+                             output string value_string = "",
+                             output float value_float = 0.0,
+                             output color value_color = 0.0,
+                             output vector value_vector = vector(0.0, 0.0, 0.0),
+                             output point value_point = point(0.0, 0.0, 0.0),
+                             output normal value_normal = normal(0.0, 0.0, 0.0))
+{
+  float f = (float)value_int;
+  value_float = f;
+  value_color = color(f, f, f);
+  value_vector = vector(f, f, f);
+  value_point = point(f, f, f);
+  value_normal = normal(f, f, f);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_convert_from_normal.osl b/intern/cycles/kernel/osl/shaders/node_convert_from_normal.osl
new file mode 100644
index 00000000000..64201d63190
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_convert_from_normal.osl
@@ -0,0 +1,32 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_convert_from_normal(normal value_normal = normal(0.0, 0.0, 0.0),
+                                output string value_string = "",
+                                output float value_float = 0.0,
+                                output int value_int = 0,
+                                output vector value_vector = vector(0.0, 0.0, 0.0),
+                                output color value_color = 0.0,
+                                output point value_point = point(0.0, 0.0, 0.0))
+{
+  value_float = (value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0);
+  value_int = (int)((value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0));
+  value_vector = vector(value_normal[0], value_normal[1], value_normal[2]);
+  value_color = color(value_normal[0], value_normal[1], value_normal[2]);
+  value_point = point(value_normal[0], value_normal[1], value_normal[2]);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_convert_from_point.osl b/intern/cycles/kernel/osl/shaders/node_convert_from_point.osl
new file mode 100644
index 00000000000..11d64f76d6f
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_convert_from_point.osl
@@ -0,0 +1,32 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_convert_from_point(point value_point = point(0.0, 0.0, 0.0),
+                               output string value_string = "",
+                               output float value_float = 0.0,
+                               output int value_int = 0,
+                               output vector value_vector = vector(0.0, 0.0, 0.0),
+                               output color value_color = 0.0,
+                               output normal value_normal = normal(0.0, 0.0, 0.0))
+{
+  value_float = (value_point[0] + value_point[1] + value_point[2]) * (1.0 / 3.0);
+  value_int = (int)((value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0));
+  value_vector = vector(value_point[0], value_point[1], value_point[2]);
+  value_color = color(value_point[0], value_point[1], value_point[2]);
+  value_normal = normal(value_point[0], value_point[1], value_point[2]);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_convert_from_string.osl b/intern/cycles/kernel/osl/shaders/node_convert_from_string.osl
new file mode 100644
index 00000000000..b496c4e6d05
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_convert_from_string.osl
@@ -0,0 +1,27 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_convert_from_string(string value_string = "",
+                                output color value_color = color(0.0, 0.0, 0.0),
+                                output float value_float = 0.0,
+                                output int value_int = 0,
+                                output vector value_vector = vector(0.0, 0.0, 0.0),
+                                output point value_point = point(0.0, 0.0, 0.0),
+                                output normal value_normal = normal(0.0, 0.0, 0.0))
+{
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_convert_from_vector.osl b/intern/cycles/kernel/osl/shaders/node_convert_from_vector.osl
new file mode 100644
index 00000000000..820faabd32b
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_convert_from_vector.osl
@@ -0,0 +1,32 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_convert_from_vector(vector value_vector = vector(0.0, 0.0, 0.0),
+                                output string value_string = "",
+                                output float value_float = 0.0,
+                                output int value_int = 0,
+                                output color value_color = color(0.0, 0.0, 0.0),
+                                output point value_point = point(0.0, 0.0, 0.0),
+                                output normal value_normal = normal(0.0, 0.0, 0.0))
+{
+  value_float = (value_vector[0] + value_vector[1] + value_vector[2]) * (1.0 / 3.0);
+  value_int = (int)((value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0));
+  value_color = color(value_vector[0], value_vector[1], value_vector[2]);
+  value_point = point(value_vector[0], value_vector[1], value_vector[2]);
+  value_normal = normal(value_vector[0], value_vector[1], value_vector[2]);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_diffuse_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_diffuse_bsdf.osl
new file mode 100644
index 00000000000..f5886f534eb
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_diffuse_bsdf.osl
@@ -0,0 +1,28 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_diffuse_bsdf(color Color = 0.8,
+                         float Roughness = 0.0,
+                         normal Normal = N,
+                         output closure color BSDF = 0)
+{
+  if (Roughness == 0.0)
+    BSDF = Color * diffuse(Normal);
+  else
+    BSDF = Color * oren_nayar(Normal, Roughness);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_displacement.osl b/intern/cycles/kernel/osl/shaders/node_displacement.osl
new file mode 100644
index 00000000000..44a4828d511
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_displacement.osl
@@ -0,0 +1,36 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_displacement(string space = "object",
+                         float Height = 0.0,
+                         float Midlevel = 0.5,
+                         float Scale = 1.0,
+                         normal Normal = N,
+                         output vector Displacement = vector(0.0, 0.0, 0.0))
+{
+  Displacement = Normal;
+  if (space == "object") {
+    Displacement = transform("object", Displacement);
+  }
+
+  Displacement = normalize(Displacement) * (Height - Midlevel) * Scale;
+
+  if (space == "object") {
+    Displacement = transform("object", "world", Displacement);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_emission.osl b/intern/cycles/kernel/osl/shaders/node_emission.osl
new file mode 100644
index 00000000000..f289a9711d9
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_emission.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_emission(color Color = 0.8, float Strength = 1.0, output closure color Emission = 0)
+{
+  Emission = (Strength * Color) * emission();
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_environment_texture.osl b/intern/cycles/kernel/osl/shaders/node_environment_texture.osl
new file mode 100644
index 00000000000..d04743eb368
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_environment_texture.osl
@@ -0,0 +1,85 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_color.h"
+#include "stdcycles.h"
+
+vector environment_texture_direction_to_equirectangular(vector dir)
+{
+  float u = -atan2(dir[1], dir[0]) / (M_2PI) + 0.5;
+  float v = atan2(dir[2], hypot(dir[0], dir[1])) / M_PI + 0.5;
+
+  return vector(u, v, 0.0);
+}
+
+vector environment_texture_direction_to_mirrorball(vector idir)
+{
+  vector dir = idir;
+  dir[1] -= 1.0;
+
+  float div = 2.0 * sqrt(max(-0.5 * dir[1], 0.0));
+  if (div > 0.0)
+    dir /= div;
+
+  float u = 0.5 * (dir[0] + 1.0);
+  float v = 0.5 * (dir[2] + 1.0);
+
+  return vector(u, v, 0.0);
+}
+
+shader node_environment_texture(
+    int use_mapping = 0,
+    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+    vector Vector = P,
+    string filename = "",
+    string projection = "equirectangular",
+    string interpolation = "linear",
+    int compress_as_srgb = 0,
+    int ignore_alpha = 0,
+    int unassociate_alpha = 0,
+    int is_float = 1,
+    output color Color = 0.0,
+    output float Alpha = 1.0)
+{
+  vector p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  p = normalize(p);
+
+  if (projection == "equirectangular")
+    p = environment_texture_direction_to_equirectangular(p);
+  else
+    p = environment_texture_direction_to_mirrorball(p);
+
+  /* todo: use environment for better texture filtering of equirectangular */
+  Color = (color)texture(
+      filename, p[0], 1.0 - p[1], "wrap", "periodic", "interp", interpolation, "alpha", Alpha);
+
+  if (ignore_alpha) {
+    Alpha = 1.0;
+  }
+  else if (unassociate_alpha) {
+    Color = color_unpremultiply(Color, Alpha);
+
+    if (!is_float)
+      Color = min(Color, 1.0);
+  }
+
+  if (compress_as_srgb)
+    Color = color_srgb_to_scene_linear(Color);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_float_curve.osl b/intern/cycles/kernel/osl/shaders/node_float_curve.osl
new file mode 100644
index 00000000000..f1f05fd88a9
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_float_curve.osl
@@ -0,0 +1,32 @@
+/*
+ * Copyright 2011-2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_ramp_util.h"
+#include "stdcycles.h"
+
+shader node_float_curve(float ramp[] = {0.0},
+                        float min_x = 0.0,
+                        float max_x = 1.0,
+                        float ValueIn = 0.0,
+                        float Factor = 0.0,
+                        output float ValueOut = 0.0)
+{
+  float c = (ValueIn - min_x) / (max_x - min_x);
+
+  ValueOut = rgb_ramp_lookup(ramp, c, 1, 1);
+
+  ValueOut = mix(ValueIn, ValueOut, Factor);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_fresnel.h b/intern/cycles/kernel/osl/shaders/node_fresnel.h
new file mode 100644
index 00000000000..ade1d4c6207
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_fresnel.h
@@ -0,0 +1,62 @@
+/*
+ * Adapted from Open Shading Language with this license:
+ *
+ * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
+ * All Rights Reserved.
+ *
+ * Modifications Copyright 2011, Blender Foundation.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ * * Redistributions of source code must retain the above copyright
+ *   notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright
+ *   notice, this list of conditions and the following disclaimer in the
+ *   documentation and/or other materials provided with the distribution.
+ * * Neither the name of Sony Pictures Imageworks nor the names of its
+ *   contributors may be used to endorse or promote products derived from
+ *   this software without specific prior written permission.
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+float fresnel_dielectric_cos(float cosi, float eta)
+{
+  /* compute fresnel reflectance without explicitly computing
+   * the refracted direction */
+  float c = fabs(cosi);
+  float g = eta * eta - 1 + c * c;
+  float result;
+
+  if (g > 0) {
+    g = sqrt(g);
+    float A = (g - c) / (g + c);
+    float B = (c * (g + c) - 1) / (c * (g - c) + 1);
+    result = 0.5 * A * A * (1 + B * B);
+  }
+  else
+    result = 1.0; /* TIR (no refracted component) */
+
+  return result;
+}
+
+color fresnel_conductor(float cosi, color eta, color k)
+{
+  color cosi2 = color(cosi * cosi);
+  color one = color(1, 1, 1);
+  color tmp_f = eta * eta + k * k;
+  color tmp = tmp_f * cosi2;
+  color Rparl2 = (tmp - (2.0 * eta * cosi) + one) / (tmp + (2.0 * eta * cosi) + one);
+  color Rperp2 = (tmp_f - (2.0 * eta * cosi) + cosi2) / (tmp_f + (2.0 * eta * cosi) + cosi2);
+  return (Rparl2 + Rperp2) * 0.5;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_fresnel.osl b/intern/cycles/kernel/osl/shaders/node_fresnel.osl
new file mode 100644
index 00000000000..cff084c344d
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_fresnel.osl
@@ -0,0 +1,26 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_fresnel.h"
+#include "stdcycles.h"
+
+shader node_fresnel(float IOR = 1.45, normal Normal = N, output float Fac = 0.0)
+{
+  float f = max(IOR, 1e-5);
+  float eta = backfacing() ? 1.0 / f : f;
+  float cosi = dot(I, Normal);
+  Fac = fresnel_dielectric_cos(cosi, eta);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_gamma.osl b/intern/cycles/kernel/osl/shaders/node_gamma.osl
new file mode 100644
index 00000000000..0816df64fe8
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_gamma.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_gamma(color ColorIn = 0.8, float Gamma = 1.0, output color ColorOut = 0.0)
+{
+  ColorOut = pow(ColorIn, Gamma);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_geometry.osl b/intern/cycles/kernel/osl/shaders/node_geometry.osl
new file mode 100644
index 00000000000..55cda71db1b
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_geometry.osl
@@ -0,0 +1,71 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_geometry(normal NormalIn = N,
+                     string bump_offset = "center",
+
+                     output point Position = point(0.0, 0.0, 0.0),
+                     output normal Normal = normal(0.0, 0.0, 0.0),
+                     output normal Tangent = normal(0.0, 0.0, 0.0),
+                     output normal TrueNormal = normal(0.0, 0.0, 0.0),
+                     output vector Incoming = vector(0.0, 0.0, 0.0),
+                     output point Parametric = point(0.0, 0.0, 0.0),
+                     output float Backfacing = 0.0,
+                     output float Pointiness = 0.0,
+                     output float RandomPerIsland = 0.0)
+{
+  Position = P;
+  Normal = NormalIn;
+  TrueNormal = Ng;
+  Incoming = I;
+  Parametric = point(u, v, 0.0);
+  Backfacing = backfacing();
+
+  if (bump_offset == "dx") {
+    Position += Dx(Position);
+    Parametric += Dx(Parametric);
+  }
+  else if (bump_offset == "dy") {
+    Position += Dy(Position);
+    Parametric += Dy(Parametric);
+  }
+
+  /* first try to get tangent attribute */
+  point generated;
+
+  /* try to create spherical tangent from generated coordinates */
+  if (getattribute("geom:generated", generated)) {
+    normal data = normal(-(generated[1] - 0.5), (generated[0] - 0.5), 0.0);
+    vector T = transform("object", "world", data);
+    Tangent = cross(Normal, normalize(cross(T, Normal)));
+  }
+  else {
+    /* otherwise use surface derivatives */
+    Tangent = normalize(dPdu);
+  }
+
+  getattribute("geom:pointiness", Pointiness);
+  if (bump_offset == "dx") {
+    Pointiness += Dx(Pointiness);
+  }
+  else if (bump_offset == "dy") {
+    Pointiness += Dy(Pointiness);
+  }
+
+  getattribute("geom:random_per_island", RandomPerIsland);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_glass_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_glass_bsdf.osl
new file mode 100644
index 00000000000..0042d573f8d
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_glass_bsdf.osl
@@ -0,0 +1,43 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_fresnel.h"
+#include "stdcycles.h"
+
+shader node_glass_bsdf(color Color = 0.8,
+                       string distribution = "sharp",
+                       float Roughness = 0.2,
+                       float IOR = 1.45,
+                       normal Normal = N,
+                       output closure color BSDF = 0)
+{
+  float f = max(IOR, 1e-5);
+  float eta = backfacing() ? 1.0 / f : f;
+  float cosi = dot(I, Normal);
+  float Fr = fresnel_dielectric_cos(cosi, eta);
+  float roughness = Roughness * Roughness;
+
+  if (distribution == "sharp")
+    BSDF = Color * (Fr * reflection(Normal) + (1.0 - Fr) * refraction(Normal, eta));
+  else if (distribution == "beckmann")
+    BSDF = Color * (Fr * microfacet_beckmann(Normal, roughness) +
+                    (1.0 - Fr) * microfacet_beckmann_refraction(Normal, roughness, eta));
+  else if (distribution == "Multiscatter GGX")
+    BSDF = Color * microfacet_multi_ggx_glass(Normal, roughness, eta, Color);
+  else if (distribution == "GGX")
+    BSDF = Color * (Fr * microfacet_ggx(Normal, roughness) +
+                    (1.0 - Fr) * microfacet_ggx_refraction(Normal, roughness, eta));
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_glossy_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_glossy_bsdf.osl
new file mode 100644
index 00000000000..c73604d3650
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_glossy_bsdf.osl
@@ -0,0 +1,38 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_fresnel.h"
+#include "stdcycles.h"
+
+shader node_glossy_bsdf(color Color = 0.8,
+                        string distribution = "GGX",
+                        float Roughness = 0.2,
+                        normal Normal = N,
+                        output closure color BSDF = 0)
+{
+  float roughness = Roughness * Roughness;
+
+  if (distribution == "sharp")
+    BSDF = Color * reflection(Normal);
+  else if (distribution == "beckmann")
+    BSDF = Color * microfacet_beckmann(Normal, roughness);
+  else if (distribution == "GGX")
+    BSDF = Color * microfacet_ggx(Normal, roughness);
+  else if (distribution == "Multiscatter GGX")
+    BSDF = Color * microfacet_multi_ggx(Normal, roughness, Color);
+  else
+    BSDF = Color * ashikhmin_shirley(Normal, vector(0, 0, 0), roughness, roughness);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_gradient_texture.osl b/intern/cycles/kernel/osl/shaders/node_gradient_texture.osl
new file mode 100644
index 00000000000..c7faee0d022
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_gradient_texture.osl
@@ -0,0 +1,77 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+/* Gradient */
+
+float gradient(point p, string type)
+{
+  float x, y, z;
+
+  x = p[0];
+  y = p[1];
+  z = p[2];
+
+  float result = 0.0;
+
+  if (type == "linear") {
+    result = x;
+  }
+  else if (type == "quadratic") {
+    float r = max(x, 0.0);
+    result = r * r;
+  }
+  else if (type == "easing") {
+    float r = min(max(x, 0.0), 1.0);
+    float t = r * r;
+
+    result = (3.0 * t - 2.0 * t * r);
+  }
+  else if (type == "diagonal") {
+    result = (x + y) * 0.5;
+  }
+  else if (type == "radial") {
+    result = atan2(y, x) / M_2PI + 0.5;
+  }
+  else {
+    float r = max(1.0 - sqrt(x * x + y * y + z * z), 0.0);
+
+    if (type == "quadratic_sphere")
+      result = r * r;
+    else if (type == "spherical")
+      result = r;
+  }
+
+  return clamp(result, 0.0, 1.0);
+}
+
+shader node_gradient_texture(
+    int use_mapping = 0,
+    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+    string gradient_type = "linear",
+    point Vector = P,
+    output float Fac = 0.0,
+    output color Color = 0.0)
+{
+  point p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  Fac = gradient(p, gradient_type);
+  Color = color(Fac, Fac, Fac);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_hair_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_hair_bsdf.osl
new file mode 100644
index 00000000000..3e0ac7af2e0
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_hair_bsdf.osl
@@ -0,0 +1,57 @@
+/*
+ * Copyright 2011, Blender Foundation.
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+#include "stdcycles.h"
+
+shader node_hair_bsdf(color Color = 0.8,
+                      string component = "reflection",
+                      float Offset = 0.0,
+                      float RoughnessU = 0.1,
+                      float RoughnessV = 1.0,
+                      normal Tangent = normal(0, 0, 0),
+                      output closure color BSDF = 0)
+{
+  float roughnessh = clamp(RoughnessU, 0.001, 1.0);
+  float roughnessv = clamp(RoughnessV, 0.001, 1.0);
+  float offset = -Offset;
+
+  normal T;
+  float IsCurve = 0;
+  getattribute("geom:is_curve", IsCurve);
+
+  if (isconnected(Tangent)) {
+    T = Tangent;
+  }
+  else if (!IsCurve) {
+    T = normalize(dPdv);
+    offset = 0.0;
+  }
+  else {
+    T = normalize(dPdu);
+  }
+
+  if (backfacing() && IsCurve) {
+    BSDF = transparent();
+  }
+  else {
+    if (component == "reflection")
+      BSDF = Color * hair_reflection(Ng, roughnessh, roughnessv, T, offset);
+    else
+      BSDF = Color * hair_transmission(Ng, roughnessh, roughnessv, T, offset);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_hair_info.osl b/intern/cycles/kernel/osl/shaders/node_hair_info.osl
new file mode 100644
index 00000000000..ddc2e28b83a
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_hair_info.osl
@@ -0,0 +1,32 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_hair_info(output float IsStrand = 0.0,
+                      output float Intercept = 0.0,
+                      output float Length = 0.0,
+                      output float Thickness = 0.0,
+                      output normal TangentNormal = N,
+                      output float Random = 0)
+{
+  getattribute("geom:is_curve", IsStrand);
+  getattribute("geom:curve_intercept", Intercept);
+  getattribute("geom:curve_length", Length);
+  getattribute("geom:curve_thickness", Thickness);
+  getattribute("geom:curve_tangent_normal", TangentNormal);
+  getattribute("geom:curve_random", Random);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_hash.h b/intern/cycles/kernel/osl/shaders/node_hash.h
new file mode 100644
index 00000000000..b42e42ff910
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_hash.h
@@ -0,0 +1,81 @@
+#include "stdcycles.h"
+#include "vector2.h"
+#include "vector4.h"
+
+#define vector3 point
+
+/* **** Hash a float or vector[234] into a float [0, 1] **** */
+
+float hash_float_to_float(float k)
+{
+  return hashnoise(k);
+}
+
+float hash_vector2_to_float(vector2 k)
+{
+  return hashnoise(k.x, k.y);
+}
+
+float hash_vector3_to_float(vector3 k)
+{
+  return hashnoise(k);
+}
+
+float hash_vector4_to_float(vector4 k)
+{
+  return hashnoise(vector3(k.x, k.y, k.z), k.w);
+}
+
+/* **** Hash a vector[234] into a vector[234] [0, 1] **** */
+
+vector2 hash_vector2_to_vector2(vector2 k)
+{
+  return vector2(hash_vector2_to_float(k), hash_vector3_to_float(vector3(k.x, k.y, 1.0)));
+}
+
+vector3 hash_vector3_to_vector3(vector3 k)
+{
+  return vector3(hash_vector3_to_float(k),
+                 hash_vector4_to_float(vector4(k[0], k[1], k[2], 1.0)),
+                 hash_vector4_to_float(vector4(k[0], k[1], k[2], 2.0)));
+}
+
+vector4 hash_vector4_to_vector4(vector4 k)
+{
+  return vector4(hash_vector4_to_float(k),
+                 hash_vector4_to_float(vector4(k.w, k.x, k.y, k.z)),
+                 hash_vector4_to_float(vector4(k.z, k.w, k.x, k.y)),
+                 hash_vector4_to_float(vector4(k.y, k.z, k.w, k.x)));
+}
+
+/* **** Hash a float or a vec[234] into a color [0, 1] **** */
+
+color hash_float_to_color(float k)
+{
+  return color(hash_float_to_float(k),
+               hash_vector2_to_float(vector2(k, 1.0)),
+               hash_vector2_to_float(vector2(k, 2.0)));
+}
+
+color hash_vector2_to_color(vector2 k)
+{
+  return color(hash_vector2_to_float(k),
+               hash_vector3_to_float(vector3(k.x, k.y, 1.0)),
+               hash_vector3_to_float(vector3(k.x, k.y, 2.0)));
+}
+
+color hash_vector3_to_color(vector3 k)
+{
+  return color(hash_vector3_to_float(k),
+               hash_vector4_to_float(vector4(k[0], k[1], k[2], 1.0)),
+               hash_vector4_to_float(vector4(k[0], k[1], k[2], 2.0)));
+}
+
+color hash_vector4_to_color(vector4 k)
+{
+  return color(hash_vector4_to_float(k),
+               hash_vector4_to_float(vector4(k.z, k.x, k.w, k.y)),
+               hash_vector4_to_float(vector4(k.w, k.z, k.y, k.x)));
+}
+
+#undef vector3
diff --git a/intern/cycles/kernel/osl/shaders/node_holdout.osl b/intern/cycles/kernel/osl/shaders/node_holdout.osl
new file mode 100644
index 00000000000..92e41c92f72
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_holdout.osl
@@ -0,0 +1,21 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_holdout(output closure color Holdout = holdout())
+{
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_hsv.osl b/intern/cycles/kernel/osl/shaders/node_hsv.osl
new file mode 100644
index 00000000000..4417057b10f
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_hsv.osl
@@ -0,0 +1,42 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_color.h"
+#include "stdcycles.h"
+
+shader node_hsv(float Hue = 0.5,
+                float Saturation = 1.0,
+                float Value = 1.0,
+                float Fac = 0.5,
+                color ColorIn = 0.0,
+                output color ColorOut = 0.0)
+{
+  color Color = rgb_to_hsv(ColorIn);
+
+  // remember: fmod doesn't work for negative numbers
+  Color[0] = fmod(Color[0] + Hue + 0.5, 1.0);
+  Color[1] = clamp(Color[1] * Saturation, 0.0, 1.0);
+  Color[2] *= Value;
+
+  Color = hsv_to_rgb(Color);
+
+  // Clamp color to prevent negative values cauzed by oversaturation.
+  Color[0] = max(Color[0], 0.0);
+  Color[1] = max(Color[1], 0.0);
+  Color[2] = max(Color[2], 0.0);
+
+  ColorOut = mix(ColorIn, Color, Fac);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_ies_light.osl b/intern/cycles/kernel/osl/shaders/node_ies_light.osl
new file mode 100644
index 00000000000..76348b4d758
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_ies_light.osl
@@ -0,0 +1,40 @@
+/*
+ * Copyright 2011-2015 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+/* IES Light */
+
+shader node_ies_light(int use_mapping = 0,
+                      matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+                      string filename = "",
+                      float Strength = 1.0,
+                      point Vector = I,
+                      output float Fac = 0.0)
+{
+  point p = Vector;
+
+  if (use_mapping) {
+    p = transform(mapping, p);
+  }
+
+  p = normalize((vector)p);
+
+  float v_angle = acos(-p[2]);
+  float h_angle = atan2(p[0], p[1]) + M_PI;
+
+  Fac = Strength * texture(filename, h_angle, v_angle);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_image_texture.osl b/intern/cycles/kernel/osl/shaders/node_image_texture.osl
new file mode 100644
index 00000000000..56fcc47a011
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_image_texture.osl
@@ -0,0 +1,270 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_color.h"
+#include "stdcycles.h"
+
+point texco_remap_square(point co)
+{
+  return (co - point(0.5, 0.5, 0.5)) * 2.0;
+}
+
+point map_to_tube(vector dir)
+{
+  float u, v;
+  v = (dir[2] + 1.0) * 0.5;
+  float len = sqrt(dir[0] * dir[0] + dir[1] * dir[1]);
+  if (len > 0.0) {
+    u = (1.0 - (atan2(dir[0] / len, dir[1] / len) / M_PI)) * 0.5;
+  }
+  else {
+    v = u = 0.0; /* To avoid un-initialized variables. */
+  }
+  return point(u, v, 0.0);
+}
+
+point map_to_sphere(vector dir)
+{
+  float len = length(dir);
+  float v, u;
+  if (len > 0.0) {
+    if (dir[0] == 0.0 && dir[1] == 0.0) {
+      u = 0.0; /* Otherwise domain error. */
+    }
+    else {
+      u = (1.0 - atan2(dir[0], dir[1]) / M_PI) / 2.0;
+    }
+    v = 1.0 - acos(dir[2] / len) / M_PI;
+  }
+  else {
+    v = u = 0.0; /* To avoid un-initialized variables. */
+  }
+  return point(u, v, 0.0);
+}
+
+color image_texture_lookup(string filename,
+                           float u,
+                           float v,
+                           output float Alpha,
+                           int compress_as_srgb,
+                           int ignore_alpha,
+                           int unassociate_alpha,
+                           int is_float,
+                           int is_tiled,
+                           string interpolation,
+                           string extension)
+{
+  /* Flip the y coordinate, but preserve UDIM tiles. */
+  float flip_v;
+  if (is_tiled) {
+    float v_i = (int)v;
+    flip_v = v_i + (1.0 - (v - v_i));
+  }
+  else {
+    flip_v = 1.0 - v;
+  }
+  color rgb = (color)texture(
+      filename, u, flip_v, "wrap", extension, "interp", interpolation, "alpha", Alpha);
+
+  if (ignore_alpha) {
+    Alpha = 1.0;
+  }
+  else if (unassociate_alpha) {
+    rgb = color_unpremultiply(rgb, Alpha);
+
+    if (!is_float)
+      rgb = min(rgb, 1.0);
+  }
+
+  if (compress_as_srgb) {
+    rgb = color_srgb_to_scene_linear(rgb);
+  }
+
+  return rgb;
+}
+
+shader node_image_texture(int use_mapping = 0,
+                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+                          point Vector = P,
+                          string filename = "",
+                          string projection = "flat",
+                          string interpolation = "smartcubic",
+                          string extension = "periodic",
+                          float projection_blend = 0.0,
+                          int compress_as_srgb = 0,
+                          int ignore_alpha = 0,
+                          int unassociate_alpha = 0,
+                          int is_tiled = 0,
+                          int is_float = 1,
+                          output color Color = 0.0,
+                          output float Alpha = 1.0)
+{
+  point p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  if (projection == "flat") {
+    Color = image_texture_lookup(filename,
+                                 p[0],
+                                 p[1],
+                                 Alpha,
+                                 compress_as_srgb,
+                                 ignore_alpha,
+                                 unassociate_alpha,
+                                 is_float,
+                                 is_tiled,
+                                 interpolation,
+                                 extension);
+  }
+  else if (projection == "box") {
+    /* object space normal */
+    vector Nob = transform("world", "object", N);
+
+    /* project from direction vector to barycentric coordinates in triangles */
+    Nob = vector(fabs(Nob[0]), fabs(Nob[1]), fabs(Nob[2]));
+    Nob /= (Nob[0] + Nob[1] + Nob[2]);
+
+    /* basic idea is to think of this as a triangle, each corner representing
+     * one of the 3 faces of the cube. in the corners we have single textures,
+     * in between we blend between two textures, and in the middle we a blend
+     * between three textures.
+     *
+     * the `Nxyz` values are the barycentric coordinates in an equilateral
+     * triangle, which in case of blending, in the middle has a smaller
+     * equilateral triangle where 3 textures blend. this divides things into
+     * 7 zones, with an if () test for each zone. */
+
+    vector weight = vector(0.0, 0.0, 0.0);
+    float blend = projection_blend;
+    float limit = 0.5 * (1.0 + blend);
+
+    /* first test for corners with single texture */
+    if (Nob[0] > limit * (Nob[0] + Nob[1]) && Nob[0] > limit * (Nob[0] + Nob[2])) {
+      weight[0] = 1.0;
+    }
+    else if (Nob[1] > limit * (Nob[0] + Nob[1]) && Nob[1] > limit * (Nob[1] + Nob[2])) {
+      weight[1] = 1.0;
+    }
+    else if (Nob[2] > limit * (Nob[0] + Nob[2]) && Nob[2] > limit * (Nob[1] + Nob[2])) {
+      weight[2] = 1.0;
+    }
+    else if (blend > 0.0) {
+      /* in case of blending, test for mixes between two textures */
+      if (Nob[2] < (1.0 - limit) * (Nob[1] + Nob[0])) {
+        weight[0] = Nob[0] / (Nob[0] + Nob[1]);
+        weight[0] = clamp((weight[0] - 0.5 * (1.0 - blend)) / blend, 0.0, 1.0);
+        weight[1] = 1.0 - weight[0];
+      }
+      else if (Nob[0] < (1.0 - limit) * (Nob[1] + Nob[2])) {
+        weight[1] = Nob[1] / (Nob[1] + Nob[2]);
+        weight[1] = clamp((weight[1] - 0.5 * (1.0 - blend)) / blend, 0.0, 1.0);
+        weight[2] = 1.0 - weight[1];
+      }
+      else if (Nob[1] < (1.0 - limit) * (Nob[0] + Nob[2])) {
+        weight[0] = Nob[0] / (Nob[0] + Nob[2]);
+        weight[0] = clamp((weight[0] - 0.5 * (1.0 - blend)) / blend, 0.0, 1.0);
+        weight[2] = 1.0 - weight[0];
+      }
+      else {
+        /* last case, we have a mix between three */
+        weight[0] = ((2.0 - limit) * Nob[0] + (limit - 1.0)) / (2.0 * limit - 1.0);
+        weight[1] = ((2.0 - limit) * Nob[1] + (limit - 1.0)) / (2.0 * limit - 1.0);
+        weight[2] = ((2.0 - limit) * Nob[2] + (limit - 1.0)) / (2.0 * limit - 1.0);
+      }
+    }
+    else {
+      /* Desperate mode, no valid choice anyway, fallback to one side.*/
+      weight[0] = 1.0;
+    }
+
+    Color = color(0.0, 0.0, 0.0);
+    Alpha = 0.0;
+
+    float tmp_alpha;
+
+    if (weight[0] > 0.0) {
+      Color += weight[0] * image_texture_lookup(filename,
+                                                p[1],
+                                                p[2],
+                                                tmp_alpha,
+                                                compress_as_srgb,
+                                                ignore_alpha,
+                                                unassociate_alpha,
+                                                is_float,
+                                                0,
+                                                interpolation,
+                                                extension);
+      Alpha += weight[0] * tmp_alpha;
+    }
+    if (weight[1] > 0.0) {
+      Color += weight[1] * image_texture_lookup(filename,
+                                                p[0],
+                                                p[2],
+                                                tmp_alpha,
+                                                compress_as_srgb,
+                                                ignore_alpha,
+                                                unassociate_alpha,
+                                                is_float,
+                                                0,
+                                                interpolation,
+                                                extension);
+      Alpha += weight[1] * tmp_alpha;
+    }
+    if (weight[2] > 0.0) {
+      Color += weight[2] * image_texture_lookup(filename,
+                                                p[1],
+                                                p[0],
+                                                tmp_alpha,
+                                                compress_as_srgb,
+                                                ignore_alpha,
+                                                unassociate_alpha,
+                                                is_float,
+                                                0,
+                                                interpolation,
+                                                extension);
+      Alpha += weight[2] * tmp_alpha;
+    }
+  }
+  else if (projection == "sphere") {
+    point projected = map_to_sphere(texco_remap_square(p));
+    Color = image_texture_lookup(filename,
+                                 projected[0],
+                                 projected[1],
+                                 Alpha,
+                                 compress_as_srgb,
+                                 ignore_alpha,
+                                 unassociate_alpha,
+                                 is_float,
+                                 0,
+                                 interpolation,
+                                 extension);
+  }
+  else if (projection == "tube") {
+    point projected = map_to_tube(texco_remap_square(p));
+    Color = image_texture_lookup(filename,
+                                 projected[0],
+                                 projected[1],
+                                 Alpha,
+                                 compress_as_srgb,
+                                 ignore_alpha,
+                                 unassociate_alpha,
+                                 is_float,
+                                 0,
+                                 interpolation,
+                                 extension);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_invert.osl b/intern/cycles/kernel/osl/shaders/node_invert.osl
new file mode 100644
index 00000000000..23c16935ca1
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_invert.osl
@@ -0,0 +1,23 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_invert(float Fac = 1.0, color ColorIn = 0.8, output color ColorOut = 0.8)
+{
+  color ColorInv = color(1.0) - ColorIn;
+  ColorOut = mix(ColorIn, ColorInv, Fac);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_layer_weight.osl b/intern/cycles/kernel/osl/shaders/node_layer_weight.osl
new file mode 100644
index 00000000000..1662be2cad1
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_layer_weight.osl
@@ -0,0 +1,44 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_fresnel.h"
+#include "stdcycles.h"
+
+shader node_layer_weight(float Blend = 0.5,
+                         normal Normal = N,
+                         output float Fresnel = 0.0,
+                         output float Facing = 0.0)
+{
+  float blend = Blend;
+  float cosi = dot(I, Normal);
+
+  /* Fresnel */
+  float eta = max(1.0 - Blend, 1e-5);
+  eta = backfacing() ? eta : 1.0 / eta;
+  Fresnel = fresnel_dielectric_cos(cosi, eta);
+
+  /* Facing */
+  Facing = fabs(cosi);
+
+  if (blend != 0.5) {
+    blend = clamp(blend, 0.0, 1.0 - 1e-5);
+    blend = (blend < 0.5) ? 2.0 * blend : 0.5 / (1.0 - blend);
+
+    Facing = pow(Facing, blend);
+  }
+
+  Facing = 1.0 - Facing;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_light_falloff.osl b/intern/cycles/kernel/osl/shaders/node_light_falloff.osl
new file mode 100644
index 00000000000..3f3c9444a5a
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_light_falloff.osl
@@ -0,0 +1,42 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_light_falloff(float Strength = 0.0,
+                          float Smooth = 0.0,
+                          output float Quadratic = 0.0,
+                          output float Linear = 0.0,
+                          output float Constant = 0.0)
+{
+  float ray_length = 0.0;
+  float strength = Strength;
+  getattribute("path:ray_length", ray_length);
+
+  if (Smooth > 0.0) {
+    float squared = ray_length * ray_length;
+    strength *= squared / (Smooth + squared);
+  }
+
+  /* Quadratic */
+  Quadratic = strength;
+
+  /* Linear */
+  Linear = (strength * ray_length);
+
+  /* Constant */
+  Constant = (strength * ray_length * ray_length);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_light_path.osl b/intern/cycles/kernel/osl/shaders/node_light_path.osl
new file mode 100644
index 00000000000..ba268db288c
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_light_path.osl
@@ -0,0 +1,64 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_light_path(output float IsCameraRay = 0.0,
+                       output float IsShadowRay = 0.0,
+                       output float IsDiffuseRay = 0.0,
+                       output float IsGlossyRay = 0.0,
+                       output float IsSingularRay = 0.0,
+                       output float IsReflectionRay = 0.0,
+                       output float IsTransmissionRay = 0.0,
+                       output float IsVolumeScatterRay = 0.0,
+                       output float RayLength = 0.0,
+                       output float RayDepth = 0.0,
+                       output float DiffuseDepth = 0.0,
+                       output float GlossyDepth = 0.0,
+                       output float TransparentDepth = 0.0,
+                       output float TransmissionDepth = 0.0)
+{
+  IsCameraRay = raytype("camera");
+  IsShadowRay = raytype("shadow");
+  IsDiffuseRay = raytype("diffuse");
+  IsGlossyRay = raytype("glossy");
+  IsSingularRay = raytype("singular");
+  IsReflectionRay = raytype("reflection");
+  IsTransmissionRay = raytype("refraction");
+  IsVolumeScatterRay = raytype("volume_scatter");
+
+  getattribute("path:ray_length", RayLength);
+
+  int ray_depth = 0;
+  getattribute("path:ray_depth", ray_depth);
+  RayDepth = (float)ray_depth;
+
+  int diffuse_depth = 0;
+  getattribute("path:diffuse_depth", diffuse_depth);
+  DiffuseDepth = (float)diffuse_depth;
+
+  int glossy_depth = 0;
+  getattribute("path:glossy_depth", glossy_depth);
+  GlossyDepth = (float)glossy_depth;
+
+  int transparent_depth = 0;
+  getattribute("path:transparent_depth", transparent_depth);
+  TransparentDepth = (float)transparent_depth;
+
+  int transmission_depth = 0;
+  getattribute("path:transmission_depth", transmission_depth);
+  TransmissionDepth = (float)transmission_depth;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_magic_texture.osl b/intern/cycles/kernel/osl/shaders/node_magic_texture.osl
new file mode 100644
index 00000000000..476c6895f05
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_magic_texture.osl
@@ -0,0 +1,108 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+/* Magic */
+
+color magic(point p, int n, float distortion)
+{
+  float dist = distortion;
+
+  float x = sin((p[0] + p[1] + p[2]) * 5.0);
+  float y = cos((-p[0] + p[1] - p[2]) * 5.0);
+  float z = -cos((-p[0] - p[1] + p[2]) * 5.0);
+
+  if (n > 0) {
+    x *= dist;
+    y *= dist;
+    z *= dist;
+    y = -cos(x - y + z);
+    y *= dist;
+
+    if (n > 1) {
+      x = cos(x - y - z);
+      x *= dist;
+
+      if (n > 2) {
+        z = sin(-x - y - z);
+        z *= dist;
+
+        if (n > 3) {
+          x = -cos(-x + y - z);
+          x *= dist;
+
+          if (n > 4) {
+            y = -sin(-x + y + z);
+            y *= dist;
+
+            if (n > 5) {
+              y = -cos(-x + y + z);
+              y *= dist;
+
+              if (n > 6) {
+                x = cos(x + y + z);
+                x *= dist;
+
+                if (n > 7) {
+                  z = sin(x + y - z);
+                  z *= dist;
+
+                  if (n > 8) {
+                    x = -cos(-x - y + z);
+                    x *= dist;
+
+                    if (n > 9) {
+                      y = -sin(x - y + z);
+                      y *= dist;
+                    }
+                  }
+                }
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+
+  if (dist != 0.0) {
+    dist *= 2.0;
+    x /= dist;
+    y /= dist;
+    z /= dist;
+  }
+
+  return color(0.5 - x, 0.5 - y, 0.5 - z);
+}
+
+shader node_magic_texture(int use_mapping = 0,
+                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+                          int depth = 2,
+                          float Distortion = 5.0,
+                          float Scale = 5.0,
+                          point Vector = P,
+                          output float Fac = 0.0,
+                          output color Color = 0.0)
+{
+  point p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  Color = magic(p * Scale, depth, Distortion);
+  Fac = (Color[0] + Color[1] + Color[2]) * (1.0 / 3.0);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_map_range.osl b/intern/cycles/kernel/osl/shaders/node_map_range.osl
new file mode 100644
index 00000000000..2fcc664a80e
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_map_range.osl
@@ -0,0 +1,58 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+float safe_divide(float a, float b)
+{
+  return (b != 0.0) ? a / b : 0.0;
+}
+
+float smootherstep(float edge0, float edge1, float x)
+{
+  float t = clamp(safe_divide((x - edge0), (edge1 - edge0)), 0.0, 1.0);
+  return t * t * t * (t * (t * 6.0 - 15.0) + 10.0);
+}
+
+shader node_map_range(string range_type = "linear",
+                      float Value = 1.0,
+                      float FromMin = 0.0,
+                      float FromMax = 1.0,
+                      float ToMin = 0.0,
+                      float ToMax = 1.0,
+                      float Steps = 4.0,
+                      output float Result = 0.0)
+{
+  if (FromMax != FromMin) {
+    float Factor = Value;
+    if (range_type == "stepped") {
+      Factor = (Value - FromMin) / (FromMax - FromMin);
+      Factor = (Steps > 0) ? floor(Factor * (Steps + 1.0)) / Steps : 0.0;
+    }
+    else if (range_type == "smoothstep") {
+      Factor = (FromMin > FromMax) ? 1.0 - smoothstep(FromMax, FromMin, Value) :
+                                     smoothstep(FromMin, FromMax, Value);
+    }
+    else if (range_type == "smootherstep") {
+      Factor = (FromMin > FromMax) ? 1.0 - smootherstep(FromMax, FromMin, Value) :
+                                     smootherstep(FromMin, FromMax, Value);
+    }
+    else {
+      Factor = (Value - FromMin) / (FromMax - FromMin);
+    }
+    Result = ToMin + Factor * (ToMax - ToMin);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_mapping.osl b/intern/cycles/kernel/osl/shaders/node_mapping.osl
new file mode 100644
index 00000000000..131640685bc
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_mapping.osl
@@ -0,0 +1,73 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+point safe_divide(point a, point b)
+{
+  return point((b[0] != 0.0) ? a[0] / b[0] : 0.0,
+               (b[1] != 0.0) ? a[1] / b[1] : 0.0,
+               (b[2] != 0.0) ? a[2] / b[2] : 0.0);
+}
+
+matrix euler_to_mat(point euler)
+{
+  float cx = cos(euler[0]);
+  float cy = cos(euler[1]);
+  float cz = cos(euler[2]);
+  float sx = sin(euler[0]);
+  float sy = sin(euler[1]);
+  float sz = sin(euler[2]);
+
+  matrix mat = matrix(1.0);
+  mat[0][0] = cy * cz;
+  mat[0][1] = cy * sz;
+  mat[0][2] = -sy;
+
+  mat[1][0] = sy * sx * cz - cx * sz;
+  mat[1][1] = sy * sx * sz + cx * cz;
+  mat[1][2] = cy * sx;
+
+  mat[2][0] = sy * cx * cz + sx * sz;
+  mat[2][1] = sy * cx * sz - sx * cz;
+  mat[2][2] = cy * cx;
+  return mat;
+}
+
+shader node_mapping(string mapping_type = "point",
+                    point VectorIn = point(0.0, 0.0, 0.0),
+                    point Location = point(0.0, 0.0, 0.0),
+                    point Rotation = point(0.0, 0.0, 0.0),
+                    point Scale = point(1.0, 1.0, 1.0),
+                    output point VectorOut = point(0.0, 0.0, 0.0))
+{
+  if (mapping_type == "point") {
+    VectorOut = transform(euler_to_mat(Rotation), (VectorIn * Scale)) + Location;
+  }
+  else if (mapping_type == "texture") {
+    VectorOut = safe_divide(transform(transpose(euler_to_mat(Rotation)), (VectorIn - Location)),
+                            Scale);
+  }
+  else if (mapping_type == "vector") {
+    VectorOut = transform(euler_to_mat(Rotation), (VectorIn * Scale));
+  }
+  else if (mapping_type == "normal") {
+    VectorOut = normalize((vector)transform(euler_to_mat(Rotation), safe_divide(VectorIn, Scale)));
+  }
+  else {
+    warning("%s", "Unknown Mapping vector type!");
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_math.h b/intern/cycles/kernel/osl/shaders/node_math.h
new file mode 100644
index 00000000000..2da73b94212
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_math.h
@@ -0,0 +1,117 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+float safe_divide(float a, float b)
+{
+  return (b != 0.0) ? a / b : 0.0;
+}
+
+vector safe_divide(vector a, vector b)
+{
+  return vector((b[0] != 0.0) ? a[0] / b[0] : 0.0,
+                (b[1] != 0.0) ? a[1] / b[1] : 0.0,
+                (b[2] != 0.0) ? a[2] / b[2] : 0.0);
+}
+
+float safe_modulo(float a, float b)
+{
+  return (b != 0.0) ? fmod(a, b) : 0.0;
+}
+
+float fract(float a)
+{
+  return a - floor(a);
+}
+
+/* See: https://www.iquilezles.org/www/articles/smin/smin.htm. */
+float smoothmin(float a, float b, float c)
+{
+  if (c != 0.0) {
+    float h = max(c - abs(a - b), 0.0) / c;
+    return min(a, b) - h * h * h * c * (1.0 / 6.0);
+  }
+  else {
+    return min(a, b);
+  }
+}
+
+float pingpong(float a, float b)
+{
+  return (b != 0.0) ? abs(fract((a - b) / (b * 2.0)) * b * 2.0 - b) : 0.0;
+}
+
+float safe_sqrt(float a)
+{
+  return (a > 0.0) ? sqrt(a) : 0.0;
+}
+
+float safe_log(float a, float b)
+{
+  return (a > 0.0 && b > 0.0) ? log(a) / log(b) : 0.0;
+}
+
+vector project(vector v, vector v_proj)
+{
+  float lenSquared = dot(v_proj, v_proj);
+  return (lenSquared != 0.0) ? (dot(v, v_proj) / lenSquared) * v_proj : vector(0.0);
+}
+
+vector snap(vector a, vector b)
+{
+  return floor(safe_divide(a, b)) * b;
+}
+
+/* Adapted from GODOT-engine math_funcs.h. */
+float wrap(float value, float max, float min)
+{
+  float range = max - min;
+  return (range != 0.0) ? value - (range * floor((value - min) / range)) : min;
+}
+
+point wrap(point value, point max, point min)
+{
+  return point(wrap(value[0], max[0], min[0]),
+               wrap(value[1], max[1], min[1]),
+               wrap(value[2], max[2], min[2]));
+}
+
+/* Built in OSL faceforward is `(dot(I, Nref) > 0) ? -N : N;` which is different to
+ * GLSL `dot(Nref, I) < 0 ? N : -N` for zero values. */
+point compatible_faceforward(point vec, point incident, point reference)
+{
+  return dot(reference, incident) < 0.0 ? vec : -vec;
+}
+
+matrix euler_to_mat(point euler)
+{
+  float cx = cos(euler[0]);
+  float cy = cos(euler[1]);
+  float cz = cos(euler[2]);
+  float sx = sin(euler[0]);
+  float sy = sin(euler[1]);
+  float sz = sin(euler[2]);
+  matrix mat = matrix(1.0);
+  mat[0][0] = cy * cz;
+  mat[0][1] = cy * sz;
+  mat[0][2] = -sy;
+  mat[1][0] = sy * sx * cz - cx * sz;
+  mat[1][1] = sy * sx * sz + cx * cz;
+  mat[1][2] = cy * sx;
+  +mat[2][0] = sy * cx * cz + sx * sz;
+  mat[2][1] = sy * cx * sz - sx * cz;
+  mat[2][2] = cy * cx;
+  return mat;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_math.osl b/intern/cycles/kernel/osl/shaders/node_math.osl
new file mode 100644
index 00000000000..66884610561
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_math.osl
@@ -0,0 +1,109 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_math.h"
+#include "stdcycles.h"
+
+/* OSL asin, acos, and pow functions are safe by default. */
+shader node_math(string math_type = "add",
+                 float Value1 = 0.5,
+                 float Value2 = 0.5,
+                 float Value3 = 0.5,
+                 output float Value = 0.0)
+{
+  if (math_type == "add")
+    Value = Value1 + Value2;
+  else if (math_type == "subtract")
+    Value = Value1 - Value2;
+  else if (math_type == "multiply")
+    Value = Value1 * Value2;
+  else if (math_type == "divide")
+    Value = safe_divide(Value1, Value2);
+  else if (math_type == "power")
+    Value = pow(Value1, Value2);
+  else if (math_type == "logarithm")
+    Value = safe_log(Value1, Value2);
+  else if (math_type == "sqrt")
+    Value = safe_sqrt(Value1);
+  else if (math_type == "inversesqrt")
+    Value = inversesqrt(Value1);
+  else if (math_type == "absolute")
+    Value = fabs(Value1);
+  else if (math_type == "radians")
+    Value = radians(Value1);
+  else if (math_type == "degrees")
+    Value = degrees(Value1);
+  else if (math_type == "minimum")
+    Value = min(Value1, Value2);
+  else if (math_type == "maximum")
+    Value = max(Value1, Value2);
+  else if (math_type == "less_than")
+    Value = Value1 < Value2;
+  else if (math_type == "greater_than")
+    Value = Value1 > Value2;
+  else if (math_type == "round")
+    Value = floor(Value1 + 0.5);
+  else if (math_type == "floor")
+    Value = floor(Value1);
+  else if (math_type == "ceil")
+    Value = ceil(Value1);
+  else if (math_type == "fraction")
+    Value = Value1 - floor(Value1);
+  else if (math_type == "modulo")
+    Value = safe_modulo(Value1, Value2);
+  else if (math_type == "trunc")
+    Value = trunc(Value1);
+  else if (math_type == "snap")
+    Value = floor(safe_divide(Value1, Value2)) * Value2;
+  else if (math_type == "wrap")
+    Value = wrap(Value1, Value2, Value3);
+  else if (math_type == "pingpong")
+    Value = pingpong(Value1, Value2);
+  else if (math_type == "sine")
+    Value = sin(Value1);
+  else if (math_type == "cosine")
+    Value = cos(Value1);
+  else if (math_type == "tangent")
+    Value = tan(Value1);
+  else if (math_type == "sinh")
+    Value = sinh(Value1);
+  else if (math_type == "cosh")
+    Value = cosh(Value1);
+  else if (math_type == "tanh")
+    Value = tanh(Value1);
+  else if (math_type == "arcsine")
+    Value = asin(Value1);
+  else if (math_type == "arccosine")
+    Value = acos(Value1);
+  else if (math_type == "arctangent")
+    Value = atan(Value1);
+  else if (math_type == "arctan2")
+    Value = atan2(Value1, Value2);
+  else if (math_type == "sign")
+    Value = sign(Value1);
+  else if (math_type == "exponent")
+    Value = exp(Value1);
+  else if (math_type == "compare")
+    Value = ((Value1 == Value2) || (abs(Value1 - Value2) <= max(Value3, 1e-5))) ? 1.0 : 0.0;
+  else if (math_type == "multiply_add")
+    Value = Value1 * Value2 + Value3;
+  else if (math_type == "smoothmin")
+    Value = smoothmin(Value1, Value2, Value3);
+  else if (math_type == "smoothmax")
+    Value = -(smoothmin(-Value1, -Value2, Value3));
+  else
+    warning("%s", "Unknown math operator!");
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_mix.osl b/intern/cycles/kernel/osl/shaders/node_mix.osl
new file mode 100644
index 00000000000..dcd9f014f3e
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_mix.osl
@@ -0,0 +1,330 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_color.h"
+#include "stdcycles.h"
+
+color node_mix_blend(float t, color col1, color col2)
+{
+  return mix(col1, col2, t);
+}
+
+color node_mix_add(float t, color col1, color col2)
+{
+  return mix(col1, col1 + col2, t);
+}
+
+color node_mix_mul(float t, color col1, color col2)
+{
+  return mix(col1, col1 * col2, t);
+}
+
+color node_mix_screen(float t, color col1, color col2)
+{
+  float tm = 1.0 - t;
+
+  return color(1.0) - (color(tm) + t * (color(1.0) - col2)) * (color(1.0) - col1);
+}
+
+color node_mix_overlay(float t, color col1, color col2)
+{
+  float tm = 1.0 - t;
+
+  color outcol = col1;
+
+  if (outcol[0] < 0.5)
+    outcol[0] *= tm + 2.0 * t * col2[0];
+  else
+    outcol[0] = 1.0 - (tm + 2.0 * t * (1.0 - col2[0])) * (1.0 - outcol[0]);
+
+  if (outcol[1] < 0.5)
+    outcol[1] *= tm + 2.0 * t * col2[1];
+  else
+    outcol[1] = 1.0 - (tm + 2.0 * t * (1.0 - col2[1])) * (1.0 - outcol[1]);
+
+  if (outcol[2] < 0.5)
+    outcol[2] *= tm + 2.0 * t * col2[2];
+  else
+    outcol[2] = 1.0 - (tm + 2.0 * t * (1.0 - col2[2])) * (1.0 - outcol[2]);
+
+  return outcol;
+}
+
+color node_mix_sub(float t, color col1, color col2)
+{
+  return mix(col1, col1 - col2, t);
+}
+
+color node_mix_div(float t, color col1, color col2)
+{
+  float tm = 1.0 - t;
+
+  color outcol = col1;
+
+  if (col2[0] != 0.0)
+    outcol[0] = tm * outcol[0] + t * outcol[0] / col2[0];
+  if (col2[1] != 0.0)
+    outcol[1] = tm * outcol[1] + t * outcol[1] / col2[1];
+  if (col2[2] != 0.0)
+    outcol[2] = tm * outcol[2] + t * outcol[2] / col2[2];
+
+  return outcol;
+}
+
+color node_mix_diff(float t, color col1, color col2)
+{
+  return mix(col1, abs(col1 - col2), t);
+}
+
+color node_mix_dark(float t, color col1, color col2)
+{
+  return mix(col1, min(col1, col2), t);
+}
+
+color node_mix_light(float t, color col1, color col2)
+{
+  return mix(col1, max(col1, col2), t);
+}
+
+color node_mix_dodge(float t, color col1, color col2)
+{
+  color outcol = col1;
+
+  if (outcol[0] != 0.0) {
+    float tmp = 1.0 - t * col2[0];
+    if (tmp <= 0.0)
+      outcol[0] = 1.0;
+    else if ((tmp = outcol[0] / tmp) > 1.0)
+      outcol[0] = 1.0;
+    else
+      outcol[0] = tmp;
+  }
+  if (outcol[1] != 0.0) {
+    float tmp = 1.0 - t * col2[1];
+    if (tmp <= 0.0)
+      outcol[1] = 1.0;
+    else if ((tmp = outcol[1] / tmp) > 1.0)
+      outcol[1] = 1.0;
+    else
+      outcol[1] = tmp;
+  }
+  if (outcol[2] != 0.0) {
+    float tmp = 1.0 - t * col2[2];
+    if (tmp <= 0.0)
+      outcol[2] = 1.0;
+    else if ((tmp = outcol[2] / tmp) > 1.0)
+      outcol[2] = 1.0;
+    else
+      outcol[2] = tmp;
+  }
+
+  return outcol;
+}
+
+color node_mix_burn(float t, color col1, color col2)
+{
+  float tmp, tm = 1.0 - t;
+
+  color outcol = col1;
+
+  tmp = tm + t * col2[0];
+  if (tmp <= 0.0)
+    outcol[0] = 0.0;
+  else if ((tmp = (1.0 - (1.0 - outcol[0]) / tmp)) < 0.0)
+    outcol[0] = 0.0;
+  else if (tmp > 1.0)
+    outcol[0] = 1.0;
+  else
+    outcol[0] = tmp;
+
+  tmp = tm + t * col2[1];
+  if (tmp <= 0.0)
+    outcol[1] = 0.0;
+  else if ((tmp = (1.0 - (1.0 - outcol[1]) / tmp)) < 0.0)
+    outcol[1] = 0.0;
+  else if (tmp > 1.0)
+    outcol[1] = 1.0;
+  else
+    outcol[1] = tmp;
+
+  tmp = tm + t * col2[2];
+  if (tmp <= 0.0)
+    outcol[2] = 0.0;
+  else if ((tmp = (1.0 - (1.0 - outcol[2]) / tmp)) < 0.0)
+    outcol[2] = 0.0;
+  else if (tmp > 1.0)
+    outcol[2] = 1.0;
+  else
+    outcol[2] = tmp;
+
+  return outcol;
+}
+
+color node_mix_hue(float t, color col1, color col2)
+{
+  color outcol = col1;
+  color hsv2 = rgb_to_hsv(col2);
+
+  if (hsv2[1] != 0.0) {
+    color hsv = rgb_to_hsv(outcol);
+    hsv[0] = hsv2[0];
+    color tmp = hsv_to_rgb(hsv);
+
+    outcol = mix(outcol, tmp, t);
+  }
+
+  return outcol;
+}
+
+color node_mix_sat(float t, color col1, color col2)
+{
+  float tm = 1.0 - t;
+
+  color outcol = col1;
+
+  color hsv = rgb_to_hsv(outcol);
+
+  if (hsv[1] != 0.0) {
+    color hsv2 = rgb_to_hsv(col2);
+
+    hsv[1] = tm * hsv[1] + t * hsv2[1];
+    outcol = hsv_to_rgb(hsv);
+  }
+
+  return outcol;
+}
+
+color node_mix_val(float t, color col1, color col2)
+{
+  float tm = 1.0 - t;
+
+  color hsv = rgb_to_hsv(col1);
+  color hsv2 = rgb_to_hsv(col2);
+
+  hsv[2] = tm * hsv[2] + t * hsv2[2];
+
+  return hsv_to_rgb(hsv);
+}
+
+color node_mix_color(float t, color col1, color col2)
+{
+  color outcol = col1;
+  color hsv2 = rgb_to_hsv(col2);
+
+  if (hsv2[1] != 0.0) {
+    color hsv = rgb_to_hsv(outcol);
+    hsv[0] = hsv2[0];
+    hsv[1] = hsv2[1];
+    color tmp = hsv_to_rgb(hsv);
+
+    outcol = mix(outcol, tmp, t);
+  }
+
+  return outcol;
+}
+
+color node_mix_soft(float t, color col1, color col2)
+{
+  float tm = 1.0 - t;
+
+  color one = color(1.0);
+  color scr = one - (one - col2) * (one - col1);
+
+  return tm * col1 + t * ((one - col1) * col2 * col1 + col1 * scr);
+}
+
+color node_mix_linear(float t, color col1, color col2)
+{
+  color outcol = col1;
+
+  if (col2[0] > 0.5)
+    outcol[0] = col1[0] + t * (2.0 * (col2[0] - 0.5));
+  else
+    outcol[0] = col1[0] + t * (2.0 * (col2[0]) - 1.0);
+
+  if (col2[1] > 0.5)
+    outcol[1] = col1[1] + t * (2.0 * (col2[1] - 0.5));
+  else
+    outcol[1] = col1[1] + t * (2.0 * (col2[1]) - 1.0);
+
+  if (col2[2] > 0.5)
+    outcol[2] = col1[2] + t * (2.0 * (col2[2] - 0.5));
+  else
+    outcol[2] = col1[2] + t * (2.0 * (col2[2]) - 1.0);
+
+  return outcol;
+}
+
+color node_mix_clamp(color col)
+{
+  color outcol = col;
+
+  outcol[0] = clamp(col[0], 0.0, 1.0);
+  outcol[1] = clamp(col[1], 0.0, 1.0);
+  outcol[2] = clamp(col[2], 0.0, 1.0);
+
+  return outcol;
+}
+
+shader node_mix(string mix_type = "mix",
+                int use_clamp = 0,
+                float Fac = 0.5,
+                color Color1 = 0.0,
+                color Color2 = 0.0,
+                output color Color = 0.0)
+{
+  float t = clamp(Fac, 0.0, 1.0);
+
+  if (mix_type == "mix")
+    Color = node_mix_blend(t, Color1, Color2);
+  if (mix_type == "add")
+    Color = node_mix_add(t, Color1, Color2);
+  if (mix_type == "multiply")
+    Color = node_mix_mul(t, Color1, Color2);
+  if (mix_type == "screen")
+    Color = node_mix_screen(t, Color1, Color2);
+  if (mix_type == "overlay")
+    Color = node_mix_overlay(t, Color1, Color2);
+  if (mix_type == "subtract")
+    Color = node_mix_sub(t, Color1, Color2);
+  if (mix_type == "divide")
+    Color = node_mix_div(t, Color1, Color2);
+  if (mix_type == "difference")
+    Color = node_mix_diff(t, Color1, Color2);
+  if (mix_type == "darken")
+    Color = node_mix_dark(t, Color1, Color2);
+  if (mix_type == "lighten")
+    Color = node_mix_light(t, Color1, Color2);
+  if (mix_type == "dodge")
+    Color = node_mix_dodge(t, Color1, Color2);
+  if (mix_type == "burn")
+    Color = node_mix_burn(t, Color1, Color2);
+  if (mix_type == "hue")
+    Color = node_mix_hue(t, Color1, Color2);
+  if (mix_type == "saturation")
+    Color = node_mix_sat(t, Color1, Color2);
+  if (mix_type == "value")
+    Color = node_mix_val(t, Color1, Color2);
+  if (mix_type == "color")
+    Color = node_mix_color(t, Color1, Color2);
+  if (mix_type == "soft_light")
+    Color = node_mix_soft(t, Color1, Color2);
+  if (mix_type == "linear_light")
+    Color = node_mix_linear(t, Color1, Color2);
+
+  if (use_clamp)
+    Color = node_mix_clamp(Color);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_mix_closure.osl b/intern/cycles/kernel/osl/shaders/node_mix_closure.osl
new file mode 100644
index 00000000000..94fc2171c44
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_mix_closure.osl
@@ -0,0 +1,26 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_mix_closure(float Fac = 0.5,
+                        closure color Closure1 = 0,
+                        closure color Closure2 = 0,
+                        output closure color Closure = 0)
+{
+  float t = clamp(Fac, 0.0, 1.0);
+  Closure = (1.0 - t) * Closure1 + t * Closure2;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_musgrave_texture.osl b/intern/cycles/kernel/osl/shaders/node_musgrave_texture.osl
new file mode 100644
index 00000000000..0e71ce74c29
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_musgrave_texture.osl
@@ -0,0 +1,803 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_noise.h"
+#include "stdcycles.h"
+#include "vector2.h"
+#include "vector4.h"
+
+#define vector3 point
+
+/* 1D Musgrave fBm
+ *
+ * H: fractal increment parameter
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ *
+ * from "Texturing and Modelling: A procedural approach"
+ */
+
+float noise_musgrave_fBm_1d(float co, float H, float lacunarity, float octaves)
+{
+  float p = co;
+  float value = 0.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value += safe_snoise(p) * pwr;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * safe_snoise(p) * pwr;
+  }
+
+  return value;
+}
+
+/* 1D Musgrave Multifractal
+ *
+ * H: highest fractal dimension
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ */
+
+float noise_musgrave_multi_fractal_1d(float co, float H, float lacunarity, float octaves)
+{
+  float p = co;
+  float value = 1.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value *= (pwr * safe_snoise(p) + 1.0);
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
+  }
+
+  return value;
+}
+
+/* 1D Musgrave Heterogeneous Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hetero_terrain_1d(
+    float co, float H, float lacunarity, float octaves, float offset)
+{
+  float p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  /* first unscaled octave of function; later octaves are scaled */
+  float value = offset + safe_snoise(p);
+  p *= lacunarity;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += increment;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += rmd * increment;
+  }
+
+  return value;
+}
+
+/* 1D Hybrid Additive/Multiplicative Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hybrid_multi_fractal_1d(
+    float co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  float p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float value = safe_snoise(p) + offset;
+  float weight = gain * value;
+  p *= lacunarity;
+
+  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
+    if (weight > 1.0) {
+      weight = 1.0;
+    }
+
+    float signal = (safe_snoise(p) + offset) * pwr;
+    pwr *= pwHL;
+    value += weight * signal;
+    weight *= gain * signal;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * ((safe_snoise(p) + offset) * pwr);
+  }
+
+  return value;
+}
+
+/* 1D Ridged Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_ridged_multi_fractal_1d(
+    float co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  float p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float signal = offset - fabs(safe_snoise(p));
+  signal *= signal;
+  float value = signal;
+  float weight = 1.0;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    p *= lacunarity;
+    weight = clamp(signal * gain, 0.0, 1.0);
+    signal = offset - fabs(safe_snoise(p));
+    signal *= signal;
+    signal *= weight;
+    value += signal * pwr;
+    pwr *= pwHL;
+  }
+
+  return value;
+}
+
+/* 2D Musgrave fBm
+ *
+ * H: fractal increment parameter
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ *
+ * from "Texturing and Modelling: A procedural approach"
+ */
+
+float noise_musgrave_fBm_2d(vector2 co, float H, float lacunarity, float octaves)
+{
+  vector2 p = co;
+  float value = 0.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value += safe_snoise(p) * pwr;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * safe_snoise(p) * pwr;
+  }
+
+  return value;
+}
+
+/* 2D Musgrave Multifractal
+ *
+ * H: highest fractal dimension
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ */
+
+float noise_musgrave_multi_fractal_2d(vector2 co, float H, float lacunarity, float octaves)
+{
+  vector2 p = co;
+  float value = 1.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value *= (pwr * safe_snoise(p) + 1.0);
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
+  }
+
+  return value;
+}
+
+/* 2D Musgrave Heterogeneous Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hetero_terrain_2d(
+    vector2 co, float H, float lacunarity, float octaves, float offset)
+{
+  vector2 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  /* first unscaled octave of function; later octaves are scaled */
+  float value = offset + safe_snoise(p);
+  p *= lacunarity;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += increment;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += rmd * increment;
+  }
+
+  return value;
+}
+
+/* 2D Hybrid Additive/Multiplicative Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hybrid_multi_fractal_2d(
+    vector2 co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  vector2 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float value = safe_snoise(p) + offset;
+  float weight = gain * value;
+  p *= lacunarity;
+
+  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
+    if (weight > 1.0) {
+      weight = 1.0;
+    }
+
+    float signal = (safe_snoise(p) + offset) * pwr;
+    pwr *= pwHL;
+    value += weight * signal;
+    weight *= gain * signal;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * ((safe_snoise(p) + offset) * pwr);
+  }
+
+  return value;
+}
+
+/* 2D Ridged Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_ridged_multi_fractal_2d(
+    vector2 co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  vector2 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float signal = offset - fabs(safe_snoise(p));
+  signal *= signal;
+  float value = signal;
+  float weight = 1.0;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    p *= lacunarity;
+    weight = clamp(signal * gain, 0.0, 1.0);
+    signal = offset - fabs(safe_snoise(p));
+    signal *= signal;
+    signal *= weight;
+    value += signal * pwr;
+    pwr *= pwHL;
+  }
+
+  return value;
+}
+
+/* 3D Musgrave fBm
+ *
+ * H: fractal increment parameter
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ *
+ * from "Texturing and Modelling: A procedural approach"
+ */
+
+float noise_musgrave_fBm_3d(vector3 co, float H, float lacunarity, float octaves)
+{
+  vector3 p = co;
+  float value = 0.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value += safe_snoise(p) * pwr;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * safe_snoise(p) * pwr;
+  }
+
+  return value;
+}
+
+/* 3D Musgrave Multifractal
+ *
+ * H: highest fractal dimension
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ */
+
+float noise_musgrave_multi_fractal_3d(vector3 co, float H, float lacunarity, float octaves)
+{
+  vector3 p = co;
+  float value = 1.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value *= (pwr * safe_snoise(p) + 1.0);
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
+  }
+
+  return value;
+}
+
+/* 3D Musgrave Heterogeneous Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hetero_terrain_3d(
+    vector3 co, float H, float lacunarity, float octaves, float offset)
+{
+  vector3 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  /* first unscaled octave of function; later octaves are scaled */
+  float value = offset + safe_snoise(p);
+  p *= lacunarity;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += increment;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += rmd * increment;
+  }
+
+  return value;
+}
+
+/* 3D Hybrid Additive/Multiplicative Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hybrid_multi_fractal_3d(
+    vector3 co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  vector3 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float value = safe_snoise(p) + offset;
+  float weight = gain * value;
+  p *= lacunarity;
+
+  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
+    if (weight > 1.0) {
+      weight = 1.0;
+    }
+
+    float signal = (safe_snoise(p) + offset) * pwr;
+    pwr *= pwHL;
+    value += weight * signal;
+    weight *= gain * signal;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * ((safe_snoise(p) + offset) * pwr);
+  }
+
+  return value;
+}
+
+/* 3D Ridged Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_ridged_multi_fractal_3d(
+    vector3 co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  vector3 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float signal = offset - fabs(safe_snoise(p));
+  signal *= signal;
+  float value = signal;
+  float weight = 1.0;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    p *= lacunarity;
+    weight = clamp(signal * gain, 0.0, 1.0);
+    signal = offset - fabs(safe_snoise(p));
+    signal *= signal;
+    signal *= weight;
+    value += signal * pwr;
+    pwr *= pwHL;
+  }
+
+  return value;
+}
+
+/* 4D Musgrave fBm
+ *
+ * H: fractal increment parameter
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ *
+ * from "Texturing and Modelling: A procedural approach"
+ */
+
+float noise_musgrave_fBm_4d(vector4 co, float H, float lacunarity, float octaves)
+{
+  vector4 p = co;
+  float value = 0.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value += safe_snoise(p) * pwr;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * safe_snoise(p) * pwr;
+  }
+
+  return value;
+}
+
+/* 4D Musgrave Multifractal
+ *
+ * H: highest fractal dimension
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ */
+
+float noise_musgrave_multi_fractal_4d(vector4 co, float H, float lacunarity, float octaves)
+{
+  vector4 p = co;
+  float value = 1.0;
+  float pwr = 1.0;
+  float pwHL = pow(lacunarity, -H);
+
+  for (int i = 0; i < (int)octaves; i++) {
+    value *= (pwr * safe_snoise(p) + 1.0);
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
+  }
+
+  return value;
+}
+
+/* 4D Musgrave Heterogeneous Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hetero_terrain_4d(
+    vector4 co, float H, float lacunarity, float octaves, float offset)
+{
+  vector4 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  /* first unscaled octave of function; later octaves are scaled */
+  float value = offset + safe_snoise(p);
+  p *= lacunarity;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += increment;
+    pwr *= pwHL;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float increment = (safe_snoise(p) + offset) * pwr * value;
+    value += rmd * increment;
+  }
+
+  return value;
+}
+
+/* 4D Hybrid Additive/Multiplicative Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_hybrid_multi_fractal_4d(
+    vector4 co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  vector4 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float value = safe_snoise(p) + offset;
+  float weight = gain * value;
+  p *= lacunarity;
+
+  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
+    if (weight > 1.0) {
+      weight = 1.0;
+    }
+
+    float signal = (safe_snoise(p) + offset) * pwr;
+    pwr *= pwHL;
+    value += weight * signal;
+    weight *= gain * signal;
+    p *= lacunarity;
+  }
+
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    value += rmd * ((safe_snoise(p) + offset) * pwr);
+  }
+
+  return value;
+}
+
+/* 4D Ridged Multifractal Terrain
+ *
+ * H: fractal dimension of the roughest area
+ * lacunarity: gap between successive frequencies
+ * octaves: number of frequencies in the fBm
+ * offset: raises the terrain from `sea level'
+ */
+
+float noise_musgrave_ridged_multi_fractal_4d(
+    vector4 co, float H, float lacunarity, float octaves, float offset, float gain)
+{
+  vector4 p = co;
+  float pwHL = pow(lacunarity, -H);
+  float pwr = pwHL;
+
+  float signal = offset - fabs(safe_snoise(p));
+  signal *= signal;
+  float value = signal;
+  float weight = 1.0;
+
+  for (int i = 1; i < (int)octaves; i++) {
+    p *= lacunarity;
+    weight = clamp(signal * gain, 0.0, 1.0);
+    signal = offset - fabs(safe_snoise(p));
+    signal *= signal;
+    signal *= weight;
+    value += signal * pwr;
+    pwr *= pwHL;
+  }
+
+  return value;
+}
+
+shader node_musgrave_texture(
+    int use_mapping = 0,
+    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+    string musgrave_type = "fBM",
+    string dimensions = "3D",
+    point Vector = P,
+    float W = 0.0,
+    float Dimension = 2.0,
+    float Scale = 5.0,
+    float Detail = 2.0,
+    float Lacunarity = 2.0,
+    float Offset = 0.0,
+    float Gain = 1.0,
+    output float Fac = 0.0)
+{
+  float dimension = max(Dimension, 1e-5);
+  float octaves = clamp(Detail, 0.0, 16.0);
+  float lacunarity = max(Lacunarity, 1e-5);
+
+  vector3 s = Vector;
+
+  if (use_mapping)
+    s = transform(mapping, s);
+
+  if (dimensions == "1D") {
+    float p = W * Scale;
+    if (musgrave_type == "multifractal") {
+      Fac = noise_musgrave_multi_fractal_1d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "fBM") {
+      Fac = noise_musgrave_fBm_1d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "hybrid_multifractal") {
+      Fac = noise_musgrave_hybrid_multi_fractal_1d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "ridged_multifractal") {
+      Fac = noise_musgrave_ridged_multi_fractal_1d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "hetero_terrain") {
+      Fac = noise_musgrave_hetero_terrain_1d(p, dimension, lacunarity, octaves, Offset);
+    }
+    else {
+      Fac = 0.0;
+    }
+  }
+  else if (dimensions == "2D") {
+    vector2 p = vector2(s[0], s[1]) * Scale;
+    if (musgrave_type == "multifractal") {
+      Fac = noise_musgrave_multi_fractal_2d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "fBM") {
+      Fac = noise_musgrave_fBm_2d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "hybrid_multifractal") {
+      Fac = noise_musgrave_hybrid_multi_fractal_2d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "ridged_multifractal") {
+      Fac = noise_musgrave_ridged_multi_fractal_2d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "hetero_terrain") {
+      Fac = noise_musgrave_hetero_terrain_2d(p, dimension, lacunarity, octaves, Offset);
+    }
+    else {
+      Fac = 0.0;
+    }
+  }
+  else if (dimensions == "3D") {
+    vector3 p = s * Scale;
+    if (musgrave_type == "multifractal") {
+      Fac = noise_musgrave_multi_fractal_3d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "fBM") {
+      Fac = noise_musgrave_fBm_3d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "hybrid_multifractal") {
+      Fac = noise_musgrave_hybrid_multi_fractal_3d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "ridged_multifractal") {
+      Fac = noise_musgrave_ridged_multi_fractal_3d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "hetero_terrain") {
+      Fac = noise_musgrave_hetero_terrain_3d(p, dimension, lacunarity, octaves, Offset);
+    }
+    else {
+      Fac = 0.0;
+    }
+  }
+  else if (dimensions == "4D") {
+    vector4 p = vector4(s[0], s[1], s[2], W) * Scale;
+    if (musgrave_type == "multifractal") {
+      Fac = noise_musgrave_multi_fractal_4d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "fBM") {
+      Fac = noise_musgrave_fBm_4d(p, dimension, lacunarity, octaves);
+    }
+    else if (musgrave_type == "hybrid_multifractal") {
+      Fac = noise_musgrave_hybrid_multi_fractal_4d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "ridged_multifractal") {
+      Fac = noise_musgrave_ridged_multi_fractal_4d(
+          p, dimension, lacunarity, octaves, Offset, Gain);
+    }
+    else if (musgrave_type == "hetero_terrain") {
+      Fac = noise_musgrave_hetero_terrain_4d(p, dimension, lacunarity, octaves, Offset);
+    }
+    else {
+      Fac = 0.0;
+    }
+  }
+  else {
+    Fac = 0.0;
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_noise.h b/intern/cycles/kernel/osl/shaders/node_noise.h
new file mode 100644
index 00000000000..ab4cd7792cc
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_noise.h
@@ -0,0 +1,202 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "vector2.h"
+#include "vector4.h"
+
+#define vector3 point
+
+float safe_noise(float p)
+{
+  float f = noise("noise", p);
+  if (isinf(f))
+    return 0.5;
+  return f;
+}
+
+float safe_noise(vector2 p)
+{
+  float f = noise("noise", p.x, p.y);
+  if (isinf(f))
+    return 0.5;
+  return f;
+}
+
+float safe_noise(vector3 p)
+{
+  float f = noise("noise", p);
+  if (isinf(f))
+    return 0.5;
+  return f;
+}
+
+float safe_noise(vector4 p)
+{
+  float f = noise("noise", vector3(p.x, p.y, p.z), p.w);
+  if (isinf(f))
+    return 0.5;
+  return f;
+}
+
+float safe_snoise(float p)
+{
+  float f = noise("snoise", p);
+  if (isinf(f))
+    return 0.0;
+  return f;
+}
+
+float safe_snoise(vector2 p)
+{
+  float f = noise("snoise", p.x, p.y);
+  if (isinf(f))
+    return 0.0;
+  return f;
+}
+
+float safe_snoise(vector3 p)
+{
+  float f = noise("snoise", p);
+  if (isinf(f))
+    return 0.0;
+  return f;
+}
+
+float safe_snoise(vector4 p)
+{
+  float f = noise("snoise", vector3(p.x, p.y, p.z), p.w);
+  if (isinf(f))
+    return 0.0;
+  return f;
+}
+
+/* The fractal_noise functions are all exactly the same except for the input type. */
+float fractal_noise(float p, float details, float roughness)
+{
+  float fscale = 1.0;
+  float amp = 1.0;
+  float maxamp = 0.0;
+  float sum = 0.0;
+  float octaves = clamp(details, 0.0, 16.0);
+  int n = (int)octaves;
+  for (int i = 0; i <= n; i++) {
+    float t = safe_noise(fscale * p);
+    sum += t * amp;
+    maxamp += amp;
+    amp *= clamp(roughness, 0.0, 1.0);
+    fscale *= 2.0;
+  }
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float t = safe_noise(fscale * p);
+    float sum2 = sum + t * amp;
+    sum /= maxamp;
+    sum2 /= maxamp + amp;
+    return (1.0 - rmd) * sum + rmd * sum2;
+  }
+  else {
+    return sum / maxamp;
+  }
+}
+
+/* The fractal_noise functions are all exactly the same except for the input type. */
+float fractal_noise(vector2 p, float details, float roughness)
+{
+  float fscale = 1.0;
+  float amp = 1.0;
+  float maxamp = 0.0;
+  float sum = 0.0;
+  float octaves = clamp(details, 0.0, 16.0);
+  int n = (int)octaves;
+  for (int i = 0; i <= n; i++) {
+    float t = safe_noise(fscale * p);
+    sum += t * amp;
+    maxamp += amp;
+    amp *= clamp(roughness, 0.0, 1.0);
+    fscale *= 2.0;
+  }
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float t = safe_noise(fscale * p);
+    float sum2 = sum + t * amp;
+    sum /= maxamp;
+    sum2 /= maxamp + amp;
+    return (1.0 - rmd) * sum + rmd * sum2;
+  }
+  else {
+    return sum / maxamp;
+  }
+}
+
+/* The fractal_noise functions are all exactly the same except for the input type. */
+float fractal_noise(vector3 p, float details, float roughness)
+{
+  float fscale = 1.0;
+  float amp = 1.0;
+  float maxamp = 0.0;
+  float sum = 0.0;
+  float octaves = clamp(details, 0.0, 16.0);
+  int n = (int)octaves;
+  for (int i = 0; i <= n; i++) {
+    float t = safe_noise(fscale * p);
+    sum += t * amp;
+    maxamp += amp;
+    amp *= clamp(roughness, 0.0, 1.0);
+    fscale *= 2.0;
+  }
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float t = safe_noise(fscale * p);
+    float sum2 = sum + t * amp;
+    sum /= maxamp;
+    sum2 /= maxamp + amp;
+    return (1.0 - rmd) * sum + rmd * sum2;
+  }
+  else {
+    return sum / maxamp;
+  }
+}
+
+/* The fractal_noise functions are all exactly the same except for the input type. */
+float fractal_noise(vector4 p, float details, float roughness)
+{
+  float fscale = 1.0;
+  float amp = 1.0;
+  float maxamp = 0.0;
+  float sum = 0.0;
+  float octaves = clamp(details, 0.0, 16.0);
+  int n = (int)octaves;
+  for (int i = 0; i <= n; i++) {
+    float t = safe_noise(fscale * p);
+    sum += t * amp;
+    maxamp += amp;
+    amp *= clamp(roughness, 0.0, 1.0);
+    fscale *= 2.0;
+  }
+  float rmd = octaves - floor(octaves);
+  if (rmd != 0.0) {
+    float t = safe_noise(fscale * p);
+    float sum2 = sum + t * amp;
+    sum /= maxamp;
+    sum2 /= maxamp + amp;
+    return (1.0 - rmd) * sum + rmd * sum2;
+  }
+  else {
+    return sum / maxamp;
+  }
+}
+
+#undef vector3
diff --git a/intern/cycles/kernel/osl/shaders/node_noise_texture.osl b/intern/cycles/kernel/osl/shaders/node_noise_texture.osl
new file mode 100644
index 00000000000..01196ab633a
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_noise_texture.osl
@@ -0,0 +1,152 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_noise.h"
+#include "stdcycles.h"
+#include "vector2.h"
+#include "vector4.h"
+
+#define vector3 point
+
+/* The following offset functions generate random offsets to be added to texture
+ * coordinates to act as a seed since the noise functions don't have seed values.
+ * A seed value is needed for generating distortion textures and color outputs.
+ * The offset's components are in the range [100, 200], not too high to cause
+ * bad precision and not too small to be noticeable. We use float seed because
+ * OSL only support float hashes.
+ */
+
+float random_float_offset(float seed)
+{
+  return 100.0 + noise("hash", seed) * 100.0;
+}
+
+vector2 random_vector2_offset(float seed)
+{
+  return vector2(100.0 + noise("hash", seed, 0.0) * 100.0,
+                 100.0 + noise("hash", seed, 1.0) * 100.0);
+}
+
+vector3 random_vector3_offset(float seed)
+{
+  return vector3(100.0 + noise("hash", seed, 0.0) * 100.0,
+                 100.0 + noise("hash", seed, 1.0) * 100.0,
+                 100.0 + noise("hash", seed, 2.0) * 100.0);
+}
+
+vector4 random_vector4_offset(float seed)
+{
+  return vector4(100.0 + noise("hash", seed, 0.0) * 100.0,
+                 100.0 + noise("hash", seed, 1.0) * 100.0,
+                 100.0 + noise("hash", seed, 2.0) * 100.0,
+                 100.0 + noise("hash", seed, 3.0) * 100.0);
+}
+
+float noise_texture(float co, float detail, float roughness, float distortion, output color Color)
+{
+  float p = co;
+  if (distortion != 0.0) {
+    p += safe_snoise(p + random_float_offset(0.0)) * distortion;
+  }
+
+  float value = fractal_noise(p, detail, roughness);
+  Color = color(value,
+                fractal_noise(p + random_float_offset(1.0), detail, roughness),
+                fractal_noise(p + random_float_offset(2.0), detail, roughness));
+  return value;
+}
+
+float noise_texture(
+    vector2 co, float detail, float roughness, float distortion, output color Color)
+{
+  vector2 p = co;
+  if (distortion != 0.0) {
+    p += vector2(safe_snoise(p + random_vector2_offset(0.0)) * distortion,
+                 safe_snoise(p + random_vector2_offset(1.0)) * distortion);
+  }
+
+  float value = fractal_noise(p, detail, roughness);
+  Color = color(value,
+                fractal_noise(p + random_vector2_offset(2.0), detail, roughness),
+                fractal_noise(p + random_vector2_offset(3.0), detail, roughness));
+  return value;
+}
+
+float noise_texture(
+    vector3 co, float detail, float roughness, float distortion, output color Color)
+{
+  vector3 p = co;
+  if (distortion != 0.0) {
+    p += vector3(safe_snoise(p + random_vector3_offset(0.0)) * distortion,
+                 safe_snoise(p + random_vector3_offset(1.0)) * distortion,
+                 safe_snoise(p + random_vector3_offset(2.0)) * distortion);
+  }
+
+  float value = fractal_noise(p, detail, roughness);
+  Color = color(value,
+                fractal_noise(p + random_vector3_offset(3.0), detail, roughness),
+                fractal_noise(p + random_vector3_offset(4.0), detail, roughness));
+  return value;
+}
+
+float noise_texture(
+    vector4 co, float detail, float roughness, float distortion, output color Color)
+{
+  vector4 p = co;
+  if (distortion != 0.0) {
+    p += vector4(safe_snoise(p + random_vector4_offset(0.0)) * distortion,
+                 safe_snoise(p + random_vector4_offset(1.0)) * distortion,
+                 safe_snoise(p + random_vector4_offset(2.0)) * distortion,
+                 safe_snoise(p + random_vector4_offset(3.0)) * distortion);
+  }
+
+  float value = fractal_noise(p, detail, roughness);
+  Color = color(value,
+                fractal_noise(p + random_vector4_offset(4.0), detail, roughness),
+                fractal_noise(p + random_vector4_offset(5.0), detail, roughness));
+  return value;
+}
+
+shader node_noise_texture(int use_mapping = 0,
+                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+                          string dimensions = "3D",
+                          vector3 Vector = vector3(0, 0, 0),
+                          float W = 0.0,
+                          float Scale = 5.0,
+                          float Detail = 2.0,
+                          float Roughness = 0.5,
+                          float Distortion = 0.0,
+                          output float Fac = 0.0,
+                          output color Color = 0.0)
+{
+  vector3 p = Vector;
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  p *= Scale;
+  float w = W * Scale;
+
+  if (dimensions == "1D")
+    Fac = noise_texture(w, Detail, Roughness, Distortion, Color);
+  else if (dimensions == "2D")
+    Fac = noise_texture(vector2(p[0], p[1]), Detail, Roughness, Distortion, Color);
+  else if (dimensions == "3D")
+    Fac = noise_texture(p, Detail, Roughness, Distortion, Color);
+  else if (dimensions == "4D")
+    Fac = noise_texture(vector4(p[0], p[1], p[2], w), Detail, Roughness, Distortion, Color);
+  else
+    error("Unknown dimension!");
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_normal.osl b/intern/cycles/kernel/osl/shaders/node_normal.osl
new file mode 100644
index 00000000000..a0a88445427
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_normal.osl
@@ -0,0 +1,26 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_normal(normal direction = normal(0.0, 0.0, 0.0),
+                   normal NormalIn = normal(0.0, 0.0, 0.0),
+                   output normal NormalOut = normal(0.0, 0.0, 0.0),
+                   output float Dot = 1.0)
+{
+  NormalOut = normalize(direction);
+  Dot = dot(NormalOut, normalize(NormalIn));
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_normal_map.osl b/intern/cycles/kernel/osl/shaders/node_normal_map.osl
new file mode 100644
index 00000000000..7a94ad8ad1a
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_normal_map.osl
@@ -0,0 +1,90 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_normal_map(normal NormalIn = N,
+                       float Strength = 1.0,
+                       color Color = color(0.5, 0.5, 1.0),
+                       string space = "tangent",
+                       string attr_name = "geom:tangent",
+                       string attr_sign_name = "geom:tangent_sign",
+                       output normal Normal = NormalIn)
+{
+  color mcolor = 2.0 * color(Color[0] - 0.5, Color[1] - 0.5, Color[2] - 0.5);
+  int is_backfacing = backfacing();
+
+  if (space == "tangent") {
+    vector tangent;
+    vector ninterp;
+    float tangent_sign;
+    float is_smooth = 0.0;
+
+    getattribute("geom:is_smooth", is_smooth);
+    if (!is_smooth) {
+      ninterp = normalize(transform("world", "object", Ng));
+
+      /* the normal is already inverted, which is too soon for the math here */
+      if (is_backfacing) {
+        ninterp = -ninterp;
+      }
+    }
+
+    // get _unnormalized_ interpolated normal and tangent
+    if (getattribute(attr_name, tangent) && getattribute(attr_sign_name, tangent_sign) &&
+        (!is_smooth || getattribute("geom:normal_map_normal", ninterp))) {
+      // apply normal map
+      vector B = tangent_sign * cross(ninterp, tangent);
+      Normal = normalize(mcolor[0] * tangent + mcolor[1] * B + mcolor[2] * ninterp);
+
+      // transform to world space
+      Normal = normalize(transform("object", "world", Normal));
+    }
+    else {
+      Normal = normal(0, 0, 0);
+    }
+  }
+  else if (space == "object") {
+    Normal = normalize(transform("object", "world", vector(mcolor)));
+  }
+  else if (space == "world") {
+    Normal = normalize(vector(mcolor));
+  }
+  else if (space == "blender_object") {
+    /* strange blender convention */
+    mcolor[1] = -mcolor[1];
+    mcolor[2] = -mcolor[2];
+
+    Normal = normalize(transform("object", "world", vector(mcolor)));
+  }
+  else if (space == "blender_world") {
+    /* strange blender convention */
+    mcolor[1] = -mcolor[1];
+    mcolor[2] = -mcolor[2];
+
+    Normal = normalize(vector(mcolor));
+  }
+
+  /* invert normal for backfacing polygons */
+  if (is_backfacing) {
+    Normal = -Normal;
+  }
+
+  if (Strength != 1.0)
+    Normal = normalize(NormalIn + (Normal - NormalIn) * max(Strength, 0.0));
+
+  Normal = ensure_valid_reflection(Ng, I, Normal);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_object_info.osl b/intern/cycles/kernel/osl/shaders/node_object_info.osl
new file mode 100644
index 00000000000..44513d9a1ba
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_object_info.osl
@@ -0,0 +1,30 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_object_info(output point Location = point(0.0, 0.0, 0.0),
+                        output color Color = color(1.0, 1.0, 1.0),
+                        output float ObjectIndex = 0.0,
+                        output float MaterialIndex = 0.0,
+                        output float Random = 0.0)
+{
+  getattribute("object:location", Location);
+  getattribute("object:color", Color);
+  getattribute("object:index", ObjectIndex);
+  getattribute("material:index", MaterialIndex);
+  getattribute("object:random", Random);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_output_displacement.osl b/intern/cycles/kernel/osl/shaders/node_output_displacement.osl
new file mode 100644
index 00000000000..bd60fc2b7e1
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_output_displacement.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+displacement node_output_displacement(vector Displacement = 0.0)
+{
+  P += Displacement;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_output_surface.osl b/intern/cycles/kernel/osl/shaders/node_output_surface.osl
new file mode 100644
index 00000000000..cd746f79c4a
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_output_surface.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+surface node_output_surface(closure color Surface = 0)
+{
+  Ci = Surface;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_output_volume.osl b/intern/cycles/kernel/osl/shaders/node_output_volume.osl
new file mode 100644
index 00000000000..4cc14cd6699
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_output_volume.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+volume node_output_volume(closure color Volume = 0)
+{
+  Ci = Volume;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_particle_info.osl b/intern/cycles/kernel/osl/shaders/node_particle_info.osl
new file mode 100644
index 00000000000..2dcdf3d0f3c
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_particle_info.osl
@@ -0,0 +1,36 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_particle_info(output float Index = 0.0,
+                          output float Random = 0.0,
+                          output float Age = 0.0,
+                          output float Lifetime = 0.0,
+                          output point Location = point(0.0, 0.0, 0.0),
+                          output float Size = 0.0,
+                          output vector Velocity = point(0.0, 0.0, 0.0),
+                          output vector AngularVelocity = point(0.0, 0.0, 0.0))
+{
+  getattribute("particle:index", Index);
+  getattribute("particle:random", Random);
+  getattribute("particle:age", Age);
+  getattribute("particle:lifetime", Lifetime);
+  getattribute("particle:location", Location);
+  getattribute("particle:size", Size);
+  getattribute("particle:velocity", Velocity);
+  getattribute("particle:angular_velocity", AngularVelocity);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_principled_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_principled_bsdf.osl
new file mode 100644
index 00000000000..55afb892d36
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_principled_bsdf.osl
@@ -0,0 +1,157 @@
+/*
+ * Copyright 2011-2017 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_fresnel.h"
+#include "stdcycles.h"
+
+shader node_principled_bsdf(string distribution = "Multiscatter GGX",
+                            string subsurface_method = "random_walk",
+                            color BaseColor = color(0.8, 0.8, 0.8),
+                            float Subsurface = 0.0,
+                            vector SubsurfaceRadius = vector(1.0, 1.0, 1.0),
+                            color SubsurfaceColor = color(0.7, 0.1, 0.1),
+                            float SubsurfaceIOR = 1.4,
+                            float SubsurfaceAnisotropy = 0.0,
+                            float Metallic = 0.0,
+                            float Specular = 0.5,
+                            float SpecularTint = 0.0,
+                            float Roughness = 0.5,
+                            float Anisotropic = 0.0,
+                            float AnisotropicRotation = 0.0,
+                            float Sheen = 0.0,
+                            float SheenTint = 0.5,
+                            float Clearcoat = 0.0,
+                            float ClearcoatRoughness = 0.03,
+                            float IOR = 1.45,
+                            float Transmission = 0.0,
+                            float TransmissionRoughness = 0.0,
+                            normal Normal = N,
+                            normal ClearcoatNormal = N,
+                            normal Tangent = normalize(dPdu),
+                            output closure color BSDF = 0)
+{
+  float f = max(IOR, 1e-5);
+  float diffuse_weight = (1.0 - clamp(Metallic, 0.0, 1.0)) * (1.0 - clamp(Transmission, 0.0, 1.0));
+  float final_transmission = clamp(Transmission, 0.0, 1.0) * (1.0 - clamp(Metallic, 0.0, 1.0));
+  float specular_weight = (1.0 - final_transmission);
+
+  vector T = Tangent;
+
+  float m_cdlum = luminance(BaseColor);
+  color m_ctint = m_cdlum > 0.0 ? BaseColor / m_cdlum :
+                                  color(1.0, 1.0, 1.0);  // normalize lum. to isolate hue+sat
+
+  /* rotate tangent */
+  if (AnisotropicRotation != 0.0)
+    T = rotate(T, AnisotropicRotation * M_2PI, point(0.0, 0.0, 0.0), Normal);
+
+  if (diffuse_weight > 1e-5) {
+    if (Subsurface > 1e-5) {
+      color mixed_ss_base_color = SubsurfaceColor * Subsurface + BaseColor * (1.0 - Subsurface);
+
+      BSDF = mixed_ss_base_color * bssrdf(subsurface_method,
+                                          Normal,
+                                          Subsurface * SubsurfaceRadius,
+                                          mixed_ss_base_color,
+                                          "roughness",
+                                          Roughness,
+                                          "ior",
+                                          SubsurfaceIOR,
+                                          "anisotropy",
+                                          SubsurfaceAnisotropy);
+    }
+    else {
+      BSDF = BaseColor * principled_diffuse(Normal, Roughness);
+    }
+
+    if (Sheen > 1e-5) {
+      color sheen_color = color(1.0, 1.0, 1.0) * (1.0 - SheenTint) + m_ctint * SheenTint;
+
+      BSDF = BSDF + sheen_color * Sheen * principled_sheen(Normal);
+    }
+
+    BSDF = BSDF * diffuse_weight;
+  }
+
+  if (specular_weight > 1e-5) {
+    float aspect = sqrt(1.0 - Anisotropic * 0.9);
+    float r2 = Roughness * Roughness;
+
+    float alpha_x = r2 / aspect;
+    float alpha_y = r2 * aspect;
+
+    color tmp_col = color(1.0, 1.0, 1.0) * (1.0 - SpecularTint) + m_ctint * SpecularTint;
+
+    color Cspec0 = (Specular * 0.08 * tmp_col) * (1.0 - Metallic) + BaseColor * Metallic;
+
+    if (distribution == "GGX" || Roughness <= 0.075) {
+      BSDF = BSDF + specular_weight *
+                        microfacet_ggx_aniso_fresnel(Normal,
+                                                     T,
+                                                     alpha_x,
+                                                     alpha_y,
+                                                     (2.0 / (1.0 - sqrt(0.08 * Specular))) - 1.0,
+                                                     BaseColor,
+                                                     Cspec0);
+    }
+    else {
+      BSDF = BSDF + specular_weight * microfacet_multi_ggx_aniso_fresnel(
+                                          Normal,
+                                          T,
+                                          alpha_x,
+                                          alpha_y,
+                                          (2.0 / (1.0 - sqrt(0.08 * Specular))) - 1.0,
+                                          BaseColor,
+                                          Cspec0);
+    }
+  }
+
+  if (final_transmission > 1e-5) {
+    color Cspec0 = BaseColor * SpecularTint + color(1.0, 1.0, 1.0) * (1.0 - SpecularTint);
+    float eta = backfacing() ? 1.0 / f : f;
+
+    if (distribution == "GGX" || Roughness <= 5e-2) {
+      float cosNO = dot(Normal, I);
+      float Fr = fresnel_dielectric_cos(cosNO, eta);
+
+      float refl_roughness = Roughness;
+      if (Roughness <= 1e-2)
+        refl_roughness = 0.0;
+
+      float transmission_roughness = refl_roughness;
+      if (distribution == "GGX")
+        transmission_roughness = 1.0 - (1.0 - refl_roughness) * (1.0 - TransmissionRoughness);
+
+      BSDF = BSDF +
+             final_transmission *
+                 (Fr * microfacet_ggx_fresnel(
+                           Normal, refl_roughness * refl_roughness, eta, BaseColor, Cspec0) +
+                  (1.0 - Fr) * BaseColor *
+                      microfacet_ggx_refraction(
+                          Normal, transmission_roughness * transmission_roughness, eta));
+    }
+    else {
+      BSDF = BSDF +
+             final_transmission * microfacet_multi_ggx_glass_fresnel(
+                                      Normal, Roughness * Roughness, eta, BaseColor, Cspec0);
+    }
+  }
+
+  if (Clearcoat > 1e-5) {
+    BSDF = BSDF + principled_clearcoat(
+                      ClearcoatNormal, Clearcoat, ClearcoatRoughness * ClearcoatRoughness);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_principled_hair_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_principled_hair_bsdf.osl
new file mode 100644
index 00000000000..4cf17e0e703
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_principled_hair_bsdf.osl
@@ -0,0 +1,105 @@
+/*
+ * Copyright 2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+color log3(color a)
+{
+  return color(log(a[0]), log(a[1]), log(a[2]));
+}
+
+color sigma_from_concentration(float eumelanin, float pheomelanin)
+{
+  return eumelanin * color(0.506, 0.841, 1.653) + pheomelanin * color(0.343, 0.733, 1.924);
+}
+
+color sigma_from_reflectance(color c, float azimuthal_roughness)
+{
+  float x = azimuthal_roughness;
+  float roughness_fac = (((((0.245 * x) + 5.574) * x - 10.73) * x + 2.532) * x - 0.215) * x +
+                        5.969;
+  color sigma = log3(c) / roughness_fac;
+  return sigma * sigma;
+}
+
+shader node_principled_hair_bsdf(color Color = color(0.017513, 0.005763, 0.002059),
+                                 float Melanin = 0.8,
+                                 float MelaninRedness = 1.0,
+                                 float RandomColor = 0.0,
+                                 color Tint = 1.0,
+                                 color AbsorptionCoefficient = color(0.245531, 0.52, 1.365),
+                                 normal Normal = Ng,
+                                 string parametrization = "Absorption coefficient",
+                                 float Offset = radians(2),
+                                 float Roughness = 0.3,
+                                 float RadialRoughness = 0.3,
+                                 float RandomRoughness = 0.0,
+                                 float Coat = 0.0,
+                                 float IOR = 1.55,
+                                 string AttrRandom = "geom:curve_random",
+                                 float Random = 0.0,
+
+                                 output closure color BSDF = 0)
+{
+  /* Get random value from curve in none is specified. */
+  float random_value = 0.0;
+
+  if (isconnected(Random)) {
+    random_value = Random;
+  }
+  else {
+    getattribute(AttrRandom, random_value);
+  }
+
+  /* Compute roughness. */
+  float factor_random_roughness = 1.0 + 2.0 * (random_value - 0.5) * RandomRoughness;
+  float m0_roughness = 1.0 - clamp(Coat, 0.0, 1.0);
+  float roughness = Roughness * factor_random_roughness;
+  float radial_roughness = RadialRoughness * factor_random_roughness;
+
+  /* Compute absorption. */
+  color sigma;
+
+  if (parametrization == "Absorption coefficient") {
+    sigma = AbsorptionCoefficient;
+  }
+  else if (parametrization == "Melanin concentration") {
+    /* Randomize melanin. */
+    float factor_random_color = 1.0 + 2.0 * (random_value - 0.5) * RandomColor;
+    float melanin = Melanin * factor_random_color;
+
+    /* Map melanin 0..inf from more perceptually linear 0..1. */
+    melanin = -log(max(1.0 - melanin, 0.0001));
+
+    /* Benedikt Bitterli's melanin ratio remapping. */
+    float eumelanin = melanin * (1.0 - MelaninRedness);
+    float pheomelanin = melanin * MelaninRedness;
+    color melanin_sigma = sigma_from_concentration(eumelanin, pheomelanin);
+
+    /* Optional tint. */
+    color tint_sigma = sigma_from_reflectance(Tint, radial_roughness);
+    sigma = melanin_sigma + tint_sigma;
+  }
+  else if (parametrization == "Direct coloring") {
+    sigma = sigma_from_reflectance(Color, radial_roughness);
+  }
+  else {
+    /* Fallback to brownish hair, same as defaults for melanin. */
+    sigma = sigma_from_concentration(0.0, 0.8054375);
+  }
+
+  BSDF = principled_hair(Normal, sigma, roughness, radial_roughness, m0_roughness, Offset, IOR);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_principled_volume.osl b/intern/cycles/kernel/osl/shaders/node_principled_volume.osl
new file mode 100644
index 00000000000..0cb4cdebdaa
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_principled_volume.osl
@@ -0,0 +1,93 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_principled_volume(color Color = color(0.5, 0.5, 0.5),
+                              float Density = 1.0,
+                              float Anisotropy = 0.0,
+                              color AbsorptionColor = color(0.0, 0.0, 0.0),
+                              float EmissionStrength = 0.0,
+                              color EmissionColor = color(1.0, 1.0, 1.0),
+                              float BlackbodyIntensity = 0.0,
+                              color BlackbodyTint = color(1.0, 1.0, 1.0),
+                              float Temperature = 1500.0,
+                              string DensityAttribute = "geom:density",
+                              string ColorAttribute = "geom:color",
+                              string TemperatureAttribute = "geom:temperature",
+                              output closure color Volume = 0)
+{
+  /* Compute density. */
+  float primitive_density = 1.0;
+  float density = max(Density, 0.0);
+
+  if (density > 1e-5) {
+    if (getattribute(DensityAttribute, primitive_density)) {
+      density = max(density * primitive_density, 0.0);
+    }
+  }
+
+  if (density > 1e-5) {
+    /* Compute scattering color. */
+    color scatter_color = Color;
+    color primitive_color;
+    if (getattribute(ColorAttribute, primitive_color)) {
+      scatter_color *= primitive_color;
+    }
+
+    /* Add scattering and absorption closures. */
+    color scatter_coeff = scatter_color;
+    color absorption_color = sqrt(max(AbsorptionColor, 0.0));
+    color absorption_coeff = max(1.0 - scatter_color, 0.0) * max(1.0 - absorption_color, 0.0);
+    Volume = scatter_coeff * density * henyey_greenstein(Anisotropy) +
+             absorption_coeff * density * absorption();
+  }
+
+  /* Compute emission. */
+  float emission_strength = max(EmissionStrength, 0.0);
+  float blackbody_intensity = BlackbodyIntensity;
+
+  if (emission_strength > 1e-5) {
+    Volume += emission_strength * EmissionColor * emission();
+  }
+
+  if (blackbody_intensity > 1e-3) {
+    float T = Temperature;
+
+    /* Add temperature from attribute if available. */
+    float temperature;
+    if (getattribute(TemperatureAttribute, temperature)) {
+      T *= max(temperature, 0.0);
+    }
+
+    T = max(T, 0.0);
+
+    /* Stefan-Boltzman law. */
+    float T4 = (T * T) * (T * T);
+    float sigma = 5.670373e-8 * 1e-6 / M_PI;
+    float intensity = sigma * mix(1.0, T4, blackbody_intensity);
+
+    if (intensity > 1e-5) {
+      color bb = blackbody(T);
+      float l = luminance(bb);
+
+      if (l != 0.0) {
+        bb *= BlackbodyTint * intensity / l;
+        Volume += bb * emission();
+      }
+    }
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_ramp_util.h b/intern/cycles/kernel/osl/shaders/node_ramp_util.h
new file mode 100644
index 00000000000..f7fb07b257d
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_ramp_util.h
@@ -0,0 +1,93 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/* NOTE: svm_ramp.h, svm_ramp_util.h and node_ramp_util.h must stay consistent */
+
+color rgb_ramp_lookup(color ramp[], float at, int interpolate, int extrapolate)
+{
+  float f = at;
+  int table_size = arraylength(ramp);
+
+  if ((f < 0.0 || f > 1.0) && extrapolate) {
+    color t0, dy;
+    if (f < 0.0) {
+      t0 = ramp[0];
+      dy = t0 - ramp[1];
+      f = -f;
+    }
+    else {
+      t0 = ramp[table_size - 1];
+      dy = t0 - ramp[table_size - 2];
+      f = f - 1.0;
+    }
+    return t0 + dy * f * (table_size - 1);
+  }
+
+  f = clamp(at, 0.0, 1.0) * (table_size - 1);
+
+  /* clamp int as well in case of NaN */
+  int i = (int)f;
+  if (i < 0)
+    i = 0;
+  if (i >= table_size)
+    i = table_size - 1;
+  float t = f - (float)i;
+
+  color result = ramp[i];
+
+  if (interpolate && t > 0.0)
+    result = (1.0 - t) * result + t * ramp[i + 1];
+
+  return result;
+}
+
+float rgb_ramp_lookup(float ramp[], float at, int interpolate, int extrapolate)
+{
+  float f = at;
+  int table_size = arraylength(ramp);
+
+  if ((f < 0.0 || f > 1.0) && extrapolate) {
+    float t0, dy;
+    if (f < 0.0) {
+      t0 = ramp[0];
+      dy = t0 - ramp[1];
+      f = -f;
+    }
+    else {
+      t0 = ramp[table_size - 1];
+      dy = t0 - ramp[table_size - 2];
+      f = f - 1.0;
+    }
+    return t0 + dy * f * (table_size - 1);
+  }
+
+  f = clamp(at, 0.0, 1.0) * (table_size - 1);
+
+  /* clamp int as well in case of NaN */
+  int i = (int)f;
+  if (i < 0)
+    i = 0;
+  if (i >= table_size)
+    i = table_size - 1;
+  float t = f - (float)i;
+
+  float result = ramp[i];
+
+  if (interpolate && t > 0.0)
+    result = (1.0 - t) * result + t * ramp[i + 1];
+
+  return result;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_refraction_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_refraction_bsdf.osl
new file mode 100644
index 00000000000..9e9b31d9a87
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_refraction_bsdf.osl
@@ -0,0 +1,36 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_refraction_bsdf(color Color = 0.8,
+                            string distribution = "sharp",
+                            float Roughness = 0.2,
+                            float IOR = 1.45,
+                            normal Normal = N,
+                            output closure color BSDF = 0)
+{
+  float f = max(IOR, 1e-5);
+  float eta = backfacing() ? 1.0 / f : f;
+  float roughness = Roughness * Roughness;
+
+  if (distribution == "sharp")
+    BSDF = Color * refraction(Normal, eta);
+  else if (distribution == "beckmann")
+    BSDF = Color * microfacet_beckmann_refraction(Normal, roughness, eta);
+  else if (distribution == "GGX")
+    BSDF = Color * microfacet_ggx_refraction(Normal, roughness, eta);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_rgb_curves.osl b/intern/cycles/kernel/osl/shaders/node_rgb_curves.osl
new file mode 100644
index 00000000000..8850040d580
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_rgb_curves.osl
@@ -0,0 +1,39 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_ramp_util.h"
+#include "stdcycles.h"
+
+shader node_rgb_curves(color ramp[] = {0.0},
+                       float min_x = 0.0,
+                       float max_x = 1.0,
+
+                       color ColorIn = 0.0,
+                       float Fac = 0.0,
+                       output color ColorOut = 0.0)
+{
+  color c = (ColorIn - color(min_x, min_x, min_x)) / (max_x - min_x);
+
+  color r = rgb_ramp_lookup(ramp, c[0], 1, 1);
+  color g = rgb_ramp_lookup(ramp, c[1], 1, 1);
+  color b = rgb_ramp_lookup(ramp, c[2], 1, 1);
+
+  ColorOut[0] = r[0];
+  ColorOut[1] = g[1];
+  ColorOut[2] = b[2];
+
+  ColorOut = mix(ColorIn, ColorOut, Fac);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_rgb_ramp.osl b/intern/cycles/kernel/osl/shaders/node_rgb_ramp.osl
new file mode 100644
index 00000000000..2131edb2688
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_rgb_ramp.osl
@@ -0,0 +1,30 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_ramp_util.h"
+#include "stdcycles.h"
+
+shader node_rgb_ramp(color ramp_color[] = {0.0},
+                     float ramp_alpha[] = {0.0},
+                     int interpolate = 1,
+
+                     float Fac = 0.0,
+                     output color Color = 0.0,
+                     output float Alpha = 1.0)
+{
+  Color = rgb_ramp_lookup(ramp_color, Fac, interpolate, 0);
+  Alpha = rgb_ramp_lookup(ramp_alpha, Fac, interpolate, 0);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_rgb_to_bw.osl b/intern/cycles/kernel/osl/shaders/node_rgb_to_bw.osl
new file mode 100644
index 00000000000..f0a094d5b57
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_rgb_to_bw.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_rgb_to_bw(color Color = 0.0, output float Val = 0.0)
+{
+  Val = Color[0] * 0.2126 + Color[1] * 0.7152 + Color[2] * 0.0722;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_scatter_volume.osl b/intern/cycles/kernel/osl/shaders/node_scatter_volume.osl
new file mode 100644
index 00000000000..36ad952dee6
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_scatter_volume.osl
@@ -0,0 +1,25 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_scatter_volume(color Color = color(0.8, 0.8, 0.8),
+                           float Density = 1.0,
+                           float Anisotropy = 0.0,
+                           output closure color Volume = 0)
+{
+  Volume = (Color * max(Density, 0.0)) * henyey_greenstein(Anisotropy);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_separate_hsv.osl b/intern/cycles/kernel/osl/shaders/node_separate_hsv.osl
new file mode 100644
index 00000000000..2f902b72dbc
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_separate_hsv.osl
@@ -0,0 +1,30 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_color.h"
+#include "stdcycles.h"
+
+shader node_separate_hsv(color Color = 0.8,
+                         output float H = 0.0,
+                         output float S = 0.0,
+                         output float V = 0.0)
+{
+  color col = rgb_to_hsv(Color);
+
+  H = col[0];
+  S = col[1];
+  V = col[2];
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_separate_rgb.osl b/intern/cycles/kernel/osl/shaders/node_separate_rgb.osl
new file mode 100644
index 00000000000..62e4aedb879
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_separate_rgb.osl
@@ -0,0 +1,27 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_separate_rgb(color Image = 0.8,
+                         output float R = 0.0,
+                         output float G = 0.0,
+                         output float B = 0.0)
+{
+  R = Image[0];
+  G = Image[1];
+  B = Image[2];
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_separate_xyz.osl b/intern/cycles/kernel/osl/shaders/node_separate_xyz.osl
new file mode 100644
index 00000000000..acaf3942b6f
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_separate_xyz.osl
@@ -0,0 +1,27 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_separate_xyz(vector Vector = 0.8,
+                         output float X = 0.0,
+                         output float Y = 0.0,
+                         output float Z = 0.0)
+{
+  X = Vector[0];
+  Y = Vector[1];
+  Z = Vector[2];
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_set_normal.osl b/intern/cycles/kernel/osl/shaders/node_set_normal.osl
new file mode 100644
index 00000000000..26a97e2b5d1
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_set_normal.osl
@@ -0,0 +1,23 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+surface node_set_normal(normal Direction = N, output normal Normal = N)
+{
+  N = Direction;
+  Normal = Direction;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_sky_texture.osl b/intern/cycles/kernel/osl/shaders/node_sky_texture.osl
new file mode 100644
index 00000000000..43d7bd36973
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_sky_texture.osl
@@ -0,0 +1,237 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_color.h"
+#include "stdcycles.h"
+
+float sky_angle_between(float thetav, float phiv, float theta, float phi)
+{
+  float cospsi = sin(thetav) * sin(theta) * cos(phi - phiv) + cos(thetav) * cos(theta);
+
+  if (cospsi > 1.0)
+    return 0.0;
+  if (cospsi < -1.0)
+    return M_PI;
+
+  return acos(cospsi);
+}
+
+vector sky_spherical_coordinates(vector dir)
+{
+  return vector(acos(dir[2]), atan2(dir[0], dir[1]), 0);
+}
+
+/* Preetham */
+float sky_perez_function(float lam[9], float theta, float gamma)
+{
+  float ctheta = cos(theta);
+  float cgamma = cos(gamma);
+
+  return (1.0 + lam[0] * exp(lam[1] / ctheta)) *
+         (1.0 + lam[2] * exp(lam[3] * gamma) + lam[4] * cgamma * cgamma);
+}
+
+color sky_radiance_preetham(normal dir,
+                            float sunphi,
+                            float suntheta,
+                            color radiance,
+                            float config_x[9],
+                            float config_y[9],
+                            float config_z[9])
+{
+  /* convert vector to spherical coordinates */
+  vector spherical = sky_spherical_coordinates(dir);
+  float theta = spherical[0];
+  float phi = spherical[1];
+
+  /* angle between sun direction and dir */
+  float gamma = sky_angle_between(theta, phi, suntheta, sunphi);
+
+  /* clamp theta to horizon */
+  theta = min(theta, M_PI_2 - 0.001);
+
+  /* compute xyY color space values */
+  float x = radiance[1] * sky_perez_function(config_y, theta, gamma);
+  float y = radiance[2] * sky_perez_function(config_z, theta, gamma);
+  float Y = radiance[0] * sky_perez_function(config_x, theta, gamma);
+
+  /* convert to RGB */
+  color xyz = xyY_to_xyz(x, y, Y);
+  return xyz_to_rgb(xyz[0], xyz[1], xyz[2]);
+}
+
+/* Hosek / Wilkie */
+float sky_radiance_internal(float config[9], float theta, float gamma)
+{
+  float ctheta = cos(theta);
+  float cgamma = cos(gamma);
+
+  float expM = exp(config[4] * gamma);
+  float rayM = cgamma * cgamma;
+  float mieM = (1.0 + rayM) / pow((1.0 + config[8] * config[8] - 2.0 * config[8] * cgamma), 1.5);
+  float zenith = sqrt(ctheta);
+
+  return (1.0 + config[0] * exp(config[1] / (ctheta + 0.01))) *
+         (config[2] + config[3] * expM + config[5] * rayM + config[6] * mieM + config[7] * zenith);
+}
+
+color sky_radiance_hosek(normal dir,
+                         float sunphi,
+                         float suntheta,
+                         color radiance,
+                         float config_x[9],
+                         float config_y[9],
+                         float config_z[9])
+{
+  /* convert vector to spherical coordinates */
+  vector spherical = sky_spherical_coordinates(dir);
+  float theta = spherical[0];
+  float phi = spherical[1];
+
+  /* angle between sun direction and dir */
+  float gamma = sky_angle_between(theta, phi, suntheta, sunphi);
+
+  /* clamp theta to horizon */
+  theta = min(theta, M_PI_2 - 0.001);
+
+  /* compute xyz color space values */
+  float x = sky_radiance_internal(config_x, theta, gamma) * radiance[0];
+  float y = sky_radiance_internal(config_y, theta, gamma) * radiance[1];
+  float z = sky_radiance_internal(config_z, theta, gamma) * radiance[2];
+
+  /* convert to RGB and adjust strength */
+  return xyz_to_rgb(x, y, z) * (M_2PI / 683);
+}
+
+/* Nishita improved */
+vector geographical_to_direction(float lat, float lon)
+{
+  return vector(cos(lat) * cos(lon), cos(lat) * sin(lon), sin(lat));
+}
+
+float precise_angle(vector a, vector b)
+{
+  return 2.0 * atan2(length(a - b), length(a + b));
+}
+
+color sky_radiance_nishita(vector dir, float nishita_data[10], string filename)
+{
+  /* definitions */
+  float sun_elevation = nishita_data[6];
+  float sun_rotation = nishita_data[7];
+  float angular_diameter = nishita_data[8];
+  float sun_intensity = nishita_data[9];
+  int sun_disc = angular_diameter > 0;
+  float alpha = 1.0;
+  color xyz;
+  /* convert dir to spherical coordinates */
+  vector direction = sky_spherical_coordinates(dir);
+
+  /* render above the horizon */
+  if (dir[2] >= 0.0) {
+    /* definitions */
+    vector sun_dir = geographical_to_direction(sun_elevation, sun_rotation + M_PI_2);
+    float sun_dir_angle = precise_angle(dir, sun_dir);
+    float half_angular = angular_diameter / 2.0;
+    float dir_elevation = M_PI_2 - direction[0];
+
+    /* if ray inside sun disc render it, otherwise render sky */
+    if (sun_dir_angle < half_angular && sun_disc == 1) {
+      /* get 2 pixels data */
+      color pixel_bottom = color(nishita_data[0], nishita_data[1], nishita_data[2]);
+      color pixel_top = color(nishita_data[3], nishita_data[4], nishita_data[5]);
+      float y;
+
+      /* sun interpolation */
+      if (sun_elevation - half_angular > 0.0) {
+        if ((sun_elevation + half_angular) > 0.0) {
+          y = ((dir_elevation - sun_elevation) / angular_diameter) + 0.5;
+          xyz = mix(pixel_bottom, pixel_top, y) * sun_intensity;
+        }
+      }
+      else {
+        if (sun_elevation + half_angular > 0.0) {
+          y = dir_elevation / (sun_elevation + half_angular);
+          xyz = mix(pixel_bottom, pixel_top, y) * sun_intensity;
+        }
+      }
+      /* limb darkening, coefficient is 0.6f */
+      float angle_fraction = sun_dir_angle / half_angular;
+      float limb_darkening = (1.0 - 0.6 * (1.0 - sqrt(1.0 - angle_fraction * angle_fraction)));
+      xyz *= limb_darkening;
+    }
+    /* sky */
+    else {
+      /* sky interpolation */
+      float x = (direction[1] + M_PI + sun_rotation) / M_2PI;
+      /* more pixels toward horizon compensation */
+      float y = 1.0 - sqrt(dir_elevation / M_PI_2);
+      if (x > 1.0) {
+        x = x - 1.0;
+      }
+      xyz = (color)texture(filename, x, y, "wrap", "clamp", "interp", "linear", "alpha", alpha);
+    }
+  }
+  /* ground */
+  else {
+    if (dir[2] < -0.4) {
+      xyz = color(0, 0, 0);
+    }
+    else {
+      /* black ground fade */
+      float mul = pow(1.0 + dir[2] * 2.5, 3.0);
+      /* interpolation */
+      float x = (direction[1] + M_PI + sun_rotation) / M_2PI;
+      float y = 1.5;
+      if (x > 1.0) {
+        x = x - 1.0;
+      }
+      xyz = (color)texture(
+                filename, x, y, "wrap", "periodic", "interp", "linear", "alpha", alpha) *
+            mul;
+    }
+  }
+  /* convert to RGB */
+  return xyz_to_rgb(xyz[0], xyz[1], xyz[2]);
+}
+
+shader node_sky_texture(
+    int use_mapping = 0,
+    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+    vector Vector = P,
+    string sky_type = "hosek_wilkie",
+    float theta = 0.0,
+    float phi = 0.0,
+    string filename = "",
+    color radiance = color(0.0, 0.0, 0.0),
+    float config_x[9] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+    float config_y[9] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+    float config_z[9] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+    float nishita_data[10] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+    output color Color = color(0.0, 0.0, 0.0))
+{
+  vector p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  if (sky_type == "nishita_improved")
+    Color = sky_radiance_nishita(p, nishita_data, filename);
+  if (sky_type == "hosek_wilkie")
+    Color = sky_radiance_hosek(p, phi, theta, radiance, config_x, config_y, config_z);
+  if (sky_type == "preetham")
+    Color = sky_radiance_preetham(p, phi, theta, radiance, config_x, config_y, config_z);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_subsurface_scattering.osl b/intern/cycles/kernel/osl/shaders/node_subsurface_scattering.osl
new file mode 100644
index 00000000000..f55e38c54ff
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_subsurface_scattering.osl
@@ -0,0 +1,30 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_subsurface_scattering(color Color = 0.8,
+                                  float Scale = 1.0,
+                                  vector Radius = vector(0.1, 0.1, 0.1),
+                                  float IOR = 1.4,
+                                  float Anisotropy = 0.0,
+                                  string method = "random_walk",
+                                  normal Normal = N,
+                                  output closure color BSSRDF = 0)
+{
+  BSSRDF = Color *
+           bssrdf(method, Normal, Scale * Radius, Color, "ior", IOR, "anisotropy", Anisotropy);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_tangent.osl b/intern/cycles/kernel/osl/shaders/node_tangent.osl
new file mode 100644
index 00000000000..f086fa079ec
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_tangent.osl
@@ -0,0 +1,46 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_tangent(normal NormalIn = N,
+                    string attr_name = "geom:tangent",
+                    string direction_type = "radial",
+                    string axis = "z",
+                    output normal Tangent = normalize(dPdu))
+{
+  vector T = vector(0.0, 0.0, 0.0);
+
+  if (direction_type == "uv_map") {
+    getattribute(attr_name, T);
+  }
+  else if (direction_type == "radial") {
+    point generated;
+
+    if (!getattribute("geom:generated", generated))
+      generated = P;
+
+    if (axis == "x")
+      T = vector(0.0, -(generated[2] - 0.5), (generated[1] - 0.5));
+    else if (axis == "y")
+      T = vector(-(generated[2] - 0.5), 0.0, (generated[0] - 0.5));
+    else
+      T = vector(-(generated[1] - 0.5), (generated[0] - 0.5), 0.0);
+  }
+
+  T = transform("object", "world", T);
+  Tangent = cross(NormalIn, normalize(cross(T, NormalIn)));
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_texture_coordinate.osl b/intern/cycles/kernel/osl/shaders/node_texture_coordinate.osl
new file mode 100644
index 00000000000..9cdb925dbfa
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_texture_coordinate.osl
@@ -0,0 +1,99 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_texture_coordinate(
+    normal NormalIn = N,
+    int is_background = 0,
+    int is_volume = 0,
+    int from_dupli = 0,
+    int use_transform = 0,
+    string bump_offset = "center",
+    matrix object_itfm = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+
+    output point Generated = point(0.0, 0.0, 0.0),
+    output point UV = point(0.0, 0.0, 0.0),
+    output point Object = point(0.0, 0.0, 0.0),
+    output point Camera = point(0.0, 0.0, 0.0),
+    output point Window = point(0.0, 0.0, 0.0),
+    output normal Normal = normal(0.0, 0.0, 0.0),
+    output point Reflection = point(0.0, 0.0, 0.0))
+{
+  if (is_background) {
+    Generated = P;
+    UV = point(0.0, 0.0, 0.0);
+    Object = P;
+    point Pcam = transform("camera", "world", point(0, 0, 0));
+    Camera = transform("camera", P + Pcam);
+    getattribute("NDC", Window);
+    Normal = NormalIn;
+    Reflection = I;
+  }
+  else {
+    if (from_dupli) {
+      getattribute("geom:dupli_generated", Generated);
+      getattribute("geom:dupli_uv", UV);
+    }
+    else if (is_volume) {
+      Generated = transform("object", P);
+
+      matrix tfm;
+      if (getattribute("geom:generated_transform", tfm))
+        Generated = transform(tfm, Generated);
+
+      getattribute("geom:uv", UV);
+    }
+    else {
+      if (!getattribute("geom:generated", Generated)) {
+        Generated = transform("object", P);
+      }
+      getattribute("geom:uv", UV);
+    }
+
+    if (use_transform) {
+      Object = transform(object_itfm, P);
+    }
+    else {
+      Object = transform("object", P);
+    }
+    Camera = transform("camera", P);
+    Window = transform("NDC", P);
+    Normal = transform("world", "object", NormalIn);
+    Reflection = -reflect(I, NormalIn);
+  }
+
+  if (bump_offset == "dx") {
+    if (!from_dupli) {
+      Generated += Dx(Generated);
+      UV += Dx(UV);
+    }
+    Object += Dx(Object);
+    Camera += Dx(Camera);
+    Window += Dx(Window);
+  }
+  else if (bump_offset == "dy") {
+    if (!from_dupli) {
+      Generated += Dy(Generated);
+      UV += Dy(UV);
+    }
+    Object += Dy(Object);
+    Camera += Dy(Camera);
+    Window += Dy(Window);
+  }
+
+  Window[2] = 0.0;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_toon_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_toon_bsdf.osl
new file mode 100644
index 00000000000..4a44730c70c
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_toon_bsdf.osl
@@ -0,0 +1,30 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_toon_bsdf(color Color = 0.8,
+                      string component = "diffuse",
+                      float Size = 0.5,
+                      float Smooth = 0.0,
+                      normal Normal = N,
+                      output closure color BSDF = 0)
+{
+  if (component == "diffuse")
+    BSDF = Color * diffuse_toon(Normal, Size, Smooth);
+  else if (component == "glossy")
+    BSDF = Color * glossy_toon(Normal, Size, Smooth);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_translucent_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_translucent_bsdf.osl
new file mode 100644
index 00000000000..23a562bf34d
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_translucent_bsdf.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_translucent_bsdf(color Color = 0.8, normal Normal = N, output closure color BSDF = 0)
+{
+  BSDF = Color * translucent(Normal);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_transparent_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_transparent_bsdf.osl
new file mode 100644
index 00000000000..eb737a05c41
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_transparent_bsdf.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_transparent_bsdf(color Color = 0.8, normal Normal = N, output closure color BSDF = 0)
+{
+  BSDF = Color * transparent();
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_uv_map.osl b/intern/cycles/kernel/osl/shaders/node_uv_map.osl
new file mode 100644
index 00000000000..88d8c5ba394
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_uv_map.osl
@@ -0,0 +1,44 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_uv_map(int from_dupli = 0,
+                   string attribute = "",
+                   string bump_offset = "center",
+                   output point UV = point(0.0, 0.0, 0.0))
+{
+  if (from_dupli) {
+    getattribute("geom:dupli_uv", UV);
+  }
+  else {
+    if (attribute == "")
+      getattribute("geom:uv", UV);
+    else
+      getattribute(attribute, UV);
+  }
+
+  if (bump_offset == "dx") {
+    if (!from_dupli) {
+      UV += Dx(UV);
+    }
+  }
+  else if (bump_offset == "dy") {
+    if (!from_dupli) {
+      UV += Dy(UV);
+    }
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_value.osl b/intern/cycles/kernel/osl/shaders/node_value.osl
new file mode 100644
index 00000000000..13197b9a27a
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_value.osl
@@ -0,0 +1,29 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_value(float value_value = 0.0,
+                  vector vector_value = vector(0.0, 0.0, 0.0),
+                  color color_value = 0.0,
+                  output float Value = 0.0,
+                  output vector Vector = vector(0.0, 0.0, 0.0),
+                  output color Color = 0.0)
+{
+  Value = value_value;
+  Vector = vector_value;
+  Color = color_value;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_vector_curves.osl b/intern/cycles/kernel/osl/shaders/node_vector_curves.osl
new file mode 100644
index 00000000000..9d3a2b82b0a
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_vector_curves.osl
@@ -0,0 +1,39 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_ramp_util.h"
+#include "stdcycles.h"
+
+shader node_vector_curves(color ramp[] = {0.0},
+                          float min_x = 0.0,
+                          float max_x = 1.0,
+
+                          vector VectorIn = vector(0.0, 0.0, 0.0),
+                          float Fac = 0.0,
+                          output vector VectorOut = vector(0.0, 0.0, 0.0))
+{
+  vector c = (VectorIn - vector(min_x, min_x, min_x)) / (max_x - min_x);
+
+  color r = rgb_ramp_lookup(ramp, c[0], 1, 1);
+  color g = rgb_ramp_lookup(ramp, c[0], 1, 1);
+  color b = rgb_ramp_lookup(ramp, c[0], 1, 1);
+
+  VectorOut[0] = r[0];
+  VectorOut[1] = g[1];
+  VectorOut[2] = b[2];
+
+  VectorOut = mix(VectorIn, VectorOut, Fac);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_vector_displacement.osl b/intern/cycles/kernel/osl/shaders/node_vector_displacement.osl
new file mode 100644
index 00000000000..7cd9c2a37f2
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_vector_displacement.osl
@@ -0,0 +1,58 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_vector_displacement(color Vector = color(0.0, 0.0, 0.0),
+                                float Midlevel = 0.0,
+                                float Scale = 1.0,
+                                string space = "tangent",
+                                string attr_name = "geom:tangent",
+                                string attr_sign_name = "geom:tangent_sign",
+                                output vector Displacement = vector(0.0, 0.0, 0.0))
+{
+  vector offset = (Vector - vector(Midlevel)) * Scale;
+
+  if (space == "tangent") {
+    /* Tangent space. */
+    vector N_object = normalize(transform("world", "object", N));
+
+    vector T_object;
+    if (getattribute(attr_name, T_object)) {
+      T_object = normalize(T_object);
+    }
+    else {
+      T_object = normalize(dPdu);
+    }
+
+    vector B_object = normalize(cross(N_object, T_object));
+    float tangent_sign;
+    if (getattribute(attr_sign_name, tangent_sign)) {
+      B_object *= tangent_sign;
+    }
+
+    Displacement = T_object * offset[0] + N_object * offset[1] + B_object * offset[2];
+  }
+  else {
+    /* Object or world space. */
+    Displacement = offset;
+  }
+
+  if (space != "world") {
+    /* Tangent or object space. */
+    Displacement = transform("object", "world", Displacement);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_vector_math.osl b/intern/cycles/kernel/osl/shaders/node_vector_math.osl
new file mode 100644
index 00000000000..c08d75b99ef
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_vector_math.osl
@@ -0,0 +1,112 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_math.h"
+#include "stdcycles.h"
+
+shader node_vector_math(string math_type = "add",
+                        vector Vector1 = vector(0.0, 0.0, 0.0),
+                        vector Vector2 = vector(0.0, 0.0, 0.0),
+                        vector Vector3 = vector(0.0, 0.0, 0.0),
+                        float Scale = 1.0,
+                        output float Value = 0.0,
+                        output vector Vector = vector(0.0, 0.0, 0.0))
+{
+  if (math_type == "add") {
+    Vector = Vector1 + Vector2;
+  }
+  else if (math_type == "subtract") {
+    Vector = Vector1 - Vector2;
+  }
+  else if (math_type == "multiply") {
+    Vector = Vector1 * Vector2;
+  }
+  else if (math_type == "divide") {
+    Vector = safe_divide(Vector1, Vector2);
+  }
+  else if (math_type == "cross_product") {
+    Vector = cross(Vector1, Vector2);
+  }
+  else if (math_type == "project") {
+    Vector = project(Vector1, Vector2);
+  }
+  else if (math_type == "reflect") {
+    Vector = reflect(Vector1, normalize(Vector2));
+  }
+  else if (math_type == "refract") {
+    Vector = refract(Vector1, normalize(Vector2), Scale);
+  }
+  else if (math_type == "faceforward") {
+    Vector = compatible_faceforward(Vector1, Vector2, Vector3);
+  }
+  else if (math_type == "multiply_add") {
+    Vector = Vector1 * Vector2 + Vector3;
+  }
+  else if (math_type == "dot_product") {
+    Value = dot(Vector1, Vector2);
+  }
+  else if (math_type == "distance") {
+    Value = distance(Vector1, Vector2);
+  }
+  else if (math_type == "length") {
+    Value = length(Vector1);
+  }
+  else if (math_type == "scale") {
+    Vector = Vector1 * Scale;
+  }
+  else if (math_type == "normalize") {
+    Vector = normalize(Vector1);
+  }
+  else if (math_type == "snap") {
+    Vector = snap(Vector1, Vector2);
+  }
+  else if (math_type == "floor") {
+    Vector = floor(Vector1);
+  }
+  else if (math_type == "ceil") {
+    Vector = ceil(Vector1);
+  }
+  else if (math_type == "modulo") {
+    Vector = fmod(Vector1, Vector2);
+  }
+  else if (math_type == "wrap") {
+    Vector = wrap(Vector1, Vector2, Vector3);
+  }
+  else if (math_type == "fraction") {
+    Vector = Vector1 - floor(Vector1);
+  }
+  else if (math_type == "absolute") {
+    Vector = abs(Vector1);
+  }
+  else if (math_type == "minimum") {
+    Vector = min(Vector1, Vector2);
+  }
+  else if (math_type == "maximum") {
+    Vector = max(Vector1, Vector2);
+  }
+  else if (math_type == "sine") {
+    Vector = sin(Vector1);
+  }
+  else if (math_type == "cosine") {
+    Vector = cos(Vector1);
+  }
+  else if (math_type == "tangent") {
+    Vector = tan(Vector1);
+  }
+  else {
+    warning("%s", "Unknown vector math operator!");
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_vector_rotate.osl b/intern/cycles/kernel/osl/shaders/node_vector_rotate.osl
new file mode 100644
index 00000000000..e99bf7d81b0
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_vector_rotate.osl
@@ -0,0 +1,49 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_math.h"
+#include "stdcycles.h"
+
+shader node_vector_rotate(int invert = 0,
+                          string rotate_type = "axis",
+                          vector VectorIn = vector(0.0, 0.0, 0.0),
+                          point Center = point(0.0, 0.0, 0.0),
+                          point Rotation = point(0.0, 0.0, 0.0),
+                          vector Axis = vector(0.0, 0.0, 1.0),
+                          float Angle = 0.0,
+                          output vector VectorOut = vector(0.0, 0.0, 0.0))
+{
+  if (rotate_type == "euler_xyz") {
+    matrix rmat = (invert) ? transpose(euler_to_mat(Rotation)) : euler_to_mat(Rotation);
+    VectorOut = transform(rmat, VectorIn - Center) + Center;
+  }
+  else {
+    float a = (invert) ? -Angle : Angle;
+    if (rotate_type == "x_axis") {
+      VectorOut = rotate(VectorIn - Center, a, point(0.0), vector(1.0, 0.0, 0.0)) + Center;
+    }
+    else if (rotate_type == "y_axis") {
+      VectorOut = rotate(VectorIn - Center, a, point(0.0), vector(0.0, 1.0, 0.0)) + Center;
+    }
+    else if (rotate_type == "z_axis") {
+      VectorOut = rotate(VectorIn - Center, a, point(0.0), vector(0.0, 0.0, 1.0)) + Center;
+    }
+    else {  // axis
+      VectorOut = (length(Axis) != 0.0) ? rotate(VectorIn - Center, a, point(0.0), Axis) + Center :
+                                          VectorIn;
+    }
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_vector_transform.osl b/intern/cycles/kernel/osl/shaders/node_vector_transform.osl
new file mode 100644
index 00000000000..b71c6ec4824
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_vector_transform.osl
@@ -0,0 +1,34 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_vector_transform(string transform_type = "vector",
+                             string convert_from = "world",
+                             string convert_to = "object",
+                             vector VectorIn = vector(0.0, 0.0, 0.0),
+                             output vector VectorOut = vector(0.0, 0.0, 0.0))
+{
+  if (transform_type == "vector" || transform_type == "normal") {
+    VectorOut = transform(convert_from, convert_to, VectorIn);
+    if (transform_type == "normal")
+      VectorOut = normalize(VectorOut);
+  }
+  else if (transform_type == "point") {
+    point Point = (point)VectorIn;
+    VectorOut = transform(convert_from, convert_to, Point);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_velvet_bsdf.osl b/intern/cycles/kernel/osl/shaders/node_velvet_bsdf.osl
new file mode 100644
index 00000000000..299acef35ee
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_velvet_bsdf.osl
@@ -0,0 +1,28 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_fresnel.h"
+#include "stdcycles.h"
+
+shader node_velvet_bsdf(color Color = 0.8,
+                        float Sigma = 0.0,
+                        normal Normal = N,
+                        output closure color BSDF = 0)
+{
+  float sigma = clamp(Sigma, 0.0, 1.0);
+
+  BSDF = Color * ashikhmin_velvet(Normal, sigma);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_vertex_color.osl b/intern/cycles/kernel/osl/shaders/node_vertex_color.osl
new file mode 100644
index 00000000000..ffaf7a2f720
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_vertex_color.osl
@@ -0,0 +1,50 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_vertex_color(string bump_offset = "center",
+                         string layer_name = "",
+                         output color Color = 0.0,
+                         output float Alpha = 0.0)
+{
+  float vertex_color[4];
+  string vertex_color_layer;
+
+  if (layer_name == "") {
+    vertex_color_layer = "geom:vertex_color";
+  }
+  else {
+    vertex_color_layer = layer_name;
+  }
+
+  if (getattribute(vertex_color_layer, vertex_color)) {
+    Color = color(vertex_color[0], vertex_color[1], vertex_color[2]);
+    Alpha = vertex_color[3];
+
+    if (bump_offset == "dx") {
+      Color += Dx(Color);
+      Alpha += Dx(Alpha);
+    }
+    else if (bump_offset == "dy") {
+      Color += Dy(Color);
+      Alpha += Dy(Alpha);
+    }
+  }
+  else {
+    warning("%s", "Invalid attribute.");
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_voronoi_texture.osl b/intern/cycles/kernel/osl/shaders/node_voronoi_texture.osl
new file mode 100644
index 00000000000..de6c697fc85
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_voronoi_texture.osl
@@ -0,0 +1,1031 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_hash.h"
+#include "stdcycles.h"
+#include "vector2.h"
+#include "vector4.h"
+
+#define vector3 point
+
+/* **** Distance Functions **** */
+
+float distance(float a, float b)
+{
+  return abs(a - b);
+}
+
+float distance(vector2 a, vector2 b)
+{
+  return length(a - b);
+}
+
+float distance(vector4 a, vector4 b)
+{
+  return length(a - b);
+}
+
+/* **** Safe Division **** */
+
+vector2 safe_divide(vector2 a, float b)
+{
+  return vector2((b != 0.0) ? a.x / b : 0.0, (b != 0.0) ? a.y / b : 0.0);
+}
+
+vector4 safe_divide(vector4 a, float b)
+{
+  return vector4((b != 0.0) ? a.x / b : 0.0,
+                 (b != 0.0) ? a.y / b : 0.0,
+                 (b != 0.0) ? a.z / b : 0.0,
+                 (b != 0.0) ? a.w / b : 0.0);
+}
+
+/*
+ * Original code is under the MIT License, Copyright (c) 2013 Inigo Quilez.
+ *
+ * Smooth Voronoi:
+ * - https://wiki.blender.org/wiki/User:OmarSquircleArt/GSoC2019/Documentation/Smooth_Voronoi
+ *
+ * Distance To Edge based on:
+ *
+ * - https://www.iquilezles.org/www/articles/voronoilines/voronoilines.htm
+ * - https://www.shadertoy.com/view/ldl3W8
+ *
+ * With optimization to change -2..2 scan window to -1..1 for better performance,
+ * as explained in https://www.shadertoy.com/view/llG3zy.
+ */
+
+/* **** 1D Voronoi **** */
+
+float voronoi_distance(float a, float b, string metric, float exponent)
+{
+  return abs(a - b);
+}
+
+void voronoi_f1_1d(float w,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output float outW)
+{
+  float cellPosition = floor(w);
+  float localPosition = w - cellPosition;
+
+  float minDistance = 8.0;
+  float targetOffset, targetPosition;
+  for (int i = -1; i <= 1; i++) {
+    float cellOffset = float(i);
+    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
+    float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+    if (distanceToPoint < minDistance) {
+      targetOffset = cellOffset;
+      minDistance = distanceToPoint;
+      targetPosition = pointPosition;
+    }
+  }
+  outDistance = minDistance;
+  outColor = hash_float_to_color(cellPosition + targetOffset);
+  outW = targetPosition + cellPosition;
+}
+
+void voronoi_smooth_f1_1d(float w,
+                          float smoothness,
+                          float exponent,
+                          float randomness,
+                          string metric,
+                          output float outDistance,
+                          output color outColor,
+                          output float outW)
+{
+  float cellPosition = floor(w);
+  float localPosition = w - cellPosition;
+
+  float smoothDistance = 8.0;
+  float smoothPosition = 0.0;
+  color smoothColor = color(0.0);
+  for (int i = -2; i <= 2; i++) {
+    float cellOffset = float(i);
+    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
+    float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+    float h = smoothstep(0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
+    float correctionFactor = smoothness * h * (1.0 - h);
+    smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
+    correctionFactor /= 1.0 + 3.0 * smoothness;
+    color cellColor = hash_float_to_color(cellPosition + cellOffset);
+    smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
+    smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
+  }
+  outDistance = smoothDistance;
+  outColor = smoothColor;
+  outW = cellPosition + smoothPosition;
+}
+
+void voronoi_f2_1d(float w,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output float outW)
+{
+  float cellPosition = floor(w);
+  float localPosition = w - cellPosition;
+
+  float distanceF1 = 8.0;
+  float distanceF2 = 8.0;
+  float offsetF1 = 0.0;
+  float positionF1 = 0.0;
+  float offsetF2, positionF2;
+  for (int i = -1; i <= 1; i++) {
+    float cellOffset = float(i);
+    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
+    float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+    if (distanceToPoint < distanceF1) {
+      distanceF2 = distanceF1;
+      distanceF1 = distanceToPoint;
+      offsetF2 = offsetF1;
+      offsetF1 = cellOffset;
+      positionF2 = positionF1;
+      positionF1 = pointPosition;
+    }
+    else if (distanceToPoint < distanceF2) {
+      distanceF2 = distanceToPoint;
+      offsetF2 = cellOffset;
+      positionF2 = pointPosition;
+    }
+  }
+  outDistance = distanceF2;
+  outColor = hash_float_to_color(cellPosition + offsetF2);
+  outW = positionF2 + cellPosition;
+}
+
+void voronoi_distance_to_edge_1d(float w, float randomness, output float outDistance)
+{
+  float cellPosition = floor(w);
+  float localPosition = w - cellPosition;
+
+  float midPointPosition = hash_float_to_float(cellPosition) * randomness;
+  float leftPointPosition = -1.0 + hash_float_to_float(cellPosition - 1.0) * randomness;
+  float rightPointPosition = 1.0 + hash_float_to_float(cellPosition + 1.0) * randomness;
+  float distanceToMidLeft = distance((midPointPosition + leftPointPosition) / 2.0, localPosition);
+  float distanceToMidRight = distance((midPointPosition + rightPointPosition) / 2.0,
+                                      localPosition);
+
+  outDistance = min(distanceToMidLeft, distanceToMidRight);
+}
+
+void voronoi_n_sphere_radius_1d(float w, float randomness, output float outRadius)
+{
+  float cellPosition = floor(w);
+  float localPosition = w - cellPosition;
+
+  float closestPoint;
+  float closestPointOffset;
+  float minDistance = 8.0;
+  for (int i = -1; i <= 1; i++) {
+    float cellOffset = float(i);
+    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
+    float distanceToPoint = distance(pointPosition, localPosition);
+    if (distanceToPoint < minDistance) {
+      minDistance = distanceToPoint;
+      closestPoint = pointPosition;
+      closestPointOffset = cellOffset;
+    }
+  }
+
+  minDistance = 8.0;
+  float closestPointToClosestPoint;
+  for (int i = -1; i <= 1; i++) {
+    if (i == 0) {
+      continue;
+    }
+    float cellOffset = float(i) + closestPointOffset;
+    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
+    float distanceToPoint = distance(closestPoint, pointPosition);
+    if (distanceToPoint < minDistance) {
+      minDistance = distanceToPoint;
+      closestPointToClosestPoint = pointPosition;
+    }
+  }
+  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
+}
+
+/* **** 2D Voronoi **** */
+
+float voronoi_distance(vector2 a, vector2 b, string metric, float exponent)
+{
+  if (metric == "euclidean") {
+    return distance(a, b);
+  }
+  else if (metric == "manhattan") {
+    return abs(a.x - b.x) + abs(a.y - b.y);
+  }
+  else if (metric == "chebychev") {
+    return max(abs(a.x - b.x), abs(a.y - b.y));
+  }
+  else if (metric == "minkowski") {
+    return pow(pow(abs(a.x - b.x), exponent) + pow(abs(a.y - b.y), exponent), 1.0 / exponent);
+  }
+  else {
+    return 0.0;
+  }
+}
+
+void voronoi_f1_2d(vector2 coord,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output vector2 outPosition)
+{
+  vector2 cellPosition = floor(coord);
+  vector2 localPosition = coord - cellPosition;
+
+  float minDistance = 8.0;
+  vector2 targetOffset, targetPosition;
+  for (int j = -1; j <= 1; j++) {
+    for (int i = -1; i <= 1; i++) {
+      vector2 cellOffset = vector2(i, j);
+      vector2 pointPosition = cellOffset +
+                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
+      float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+      if (distanceToPoint < minDistance) {
+        targetOffset = cellOffset;
+        minDistance = distanceToPoint;
+        targetPosition = pointPosition;
+      }
+    }
+  }
+  outDistance = minDistance;
+  outColor = hash_vector2_to_color(cellPosition + targetOffset);
+  outPosition = targetPosition + cellPosition;
+}
+
+void voronoi_smooth_f1_2d(vector2 coord,
+                          float smoothness,
+                          float exponent,
+                          float randomness,
+                          string metric,
+                          output float outDistance,
+                          output color outColor,
+                          output vector2 outPosition)
+{
+  vector2 cellPosition = floor(coord);
+  vector2 localPosition = coord - cellPosition;
+
+  float smoothDistance = 8.0;
+  color smoothColor = color(0.0);
+  vector2 smoothPosition = vector2(0.0, 0.0);
+  for (int j = -2; j <= 2; j++) {
+    for (int i = -2; i <= 2; i++) {
+      vector2 cellOffset = vector2(i, j);
+      vector2 pointPosition = cellOffset +
+                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
+      float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+      float h = smoothstep(0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
+      float correctionFactor = smoothness * h * (1.0 - h);
+      smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
+      correctionFactor /= 1.0 + 3.0 * smoothness;
+      color cellColor = hash_vector2_to_color(cellPosition + cellOffset);
+      smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
+      smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
+    }
+  }
+  outDistance = smoothDistance;
+  outColor = smoothColor;
+  outPosition = cellPosition + smoothPosition;
+}
+
+void voronoi_f2_2d(vector2 coord,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output vector2 outPosition)
+{
+  vector2 cellPosition = floor(coord);
+  vector2 localPosition = coord - cellPosition;
+
+  float distanceF1 = 8.0;
+  float distanceF2 = 8.0;
+  vector2 offsetF1 = vector2(0.0, 0.0);
+  vector2 positionF1 = vector2(0.0, 0.0);
+  vector2 offsetF2, positionF2;
+  for (int j = -1; j <= 1; j++) {
+    for (int i = -1; i <= 1; i++) {
+      vector2 cellOffset = vector2(i, j);
+      vector2 pointPosition = cellOffset +
+                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
+      float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+      if (distanceToPoint < distanceF1) {
+        distanceF2 = distanceF1;
+        distanceF1 = distanceToPoint;
+        offsetF2 = offsetF1;
+        offsetF1 = cellOffset;
+        positionF2 = positionF1;
+        positionF1 = pointPosition;
+      }
+      else if (distanceToPoint < distanceF2) {
+        distanceF2 = distanceToPoint;
+        offsetF2 = cellOffset;
+        positionF2 = pointPosition;
+      }
+    }
+  }
+  outDistance = distanceF2;
+  outColor = hash_vector2_to_color(cellPosition + offsetF2);
+  outPosition = positionF2 + cellPosition;
+}
+
+void voronoi_distance_to_edge_2d(vector2 coord, float randomness, output float outDistance)
+{
+  vector2 cellPosition = floor(coord);
+  vector2 localPosition = coord - cellPosition;
+
+  vector2 vectorToClosest;
+  float minDistance = 8.0;
+  for (int j = -1; j <= 1; j++) {
+    for (int i = -1; i <= 1; i++) {
+      vector2 cellOffset = vector2(i, j);
+      vector2 vectorToPoint = cellOffset +
+                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness -
+                              localPosition;
+      float distanceToPoint = dot(vectorToPoint, vectorToPoint);
+      if (distanceToPoint < minDistance) {
+        minDistance = distanceToPoint;
+        vectorToClosest = vectorToPoint;
+      }
+    }
+  }
+
+  minDistance = 8.0;
+  for (int j = -1; j <= 1; j++) {
+    for (int i = -1; i <= 1; i++) {
+      vector2 cellOffset = vector2(i, j);
+      vector2 vectorToPoint = cellOffset +
+                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness -
+                              localPosition;
+      vector2 perpendicularToEdge = vectorToPoint - vectorToClosest;
+      if (dot(perpendicularToEdge, perpendicularToEdge) > 0.0001) {
+        float distanceToEdge = dot((vectorToClosest + vectorToPoint) / 2.0,
+                                   normalize(perpendicularToEdge));
+        minDistance = min(minDistance, distanceToEdge);
+      }
+    }
+  }
+  outDistance = minDistance;
+}
+
+void voronoi_n_sphere_radius_2d(vector2 coord, float randomness, output float outRadius)
+{
+  vector2 cellPosition = floor(coord);
+  vector2 localPosition = coord - cellPosition;
+
+  vector2 closestPoint;
+  vector2 closestPointOffset;
+  float minDistance = 8.0;
+  for (int j = -1; j <= 1; j++) {
+    for (int i = -1; i <= 1; i++) {
+      vector2 cellOffset = vector2(i, j);
+      vector2 pointPosition = cellOffset +
+                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
+      float distanceToPoint = distance(pointPosition, localPosition);
+      if (distanceToPoint < minDistance) {
+        minDistance = distanceToPoint;
+        closestPoint = pointPosition;
+        closestPointOffset = cellOffset;
+      }
+    }
+  }
+
+  minDistance = 8.0;
+  vector2 closestPointToClosestPoint;
+  for (int j = -1; j <= 1; j++) {
+    for (int i = -1; i <= 1; i++) {
+      if (i == 0 && j == 0) {
+        continue;
+      }
+      vector2 cellOffset = vector2(i, j) + closestPointOffset;
+      vector2 pointPosition = cellOffset +
+                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
+      float distanceToPoint = distance(closestPoint, pointPosition);
+      if (distanceToPoint < minDistance) {
+        minDistance = distanceToPoint;
+        closestPointToClosestPoint = pointPosition;
+      }
+    }
+  }
+  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
+}
+
+/* **** 3D Voronoi **** */
+
+float voronoi_distance(vector3 a, vector3 b, string metric, float exponent)
+{
+  if (metric == "euclidean") {
+    return distance(a, b);
+  }
+  else if (metric == "manhattan") {
+    return abs(a[0] - b[0]) + abs(a[1] - b[1]) + abs(a[2] - b[2]);
+  }
+  else if (metric == "chebychev") {
+    return max(abs(a[0] - b[0]), max(abs(a[1] - b[1]), abs(a[2] - b[2])));
+  }
+  else if (metric == "minkowski") {
+    return pow(pow(abs(a[0] - b[0]), exponent) + pow(abs(a[1] - b[1]), exponent) +
+                   pow(abs(a[2] - b[2]), exponent),
+               1.0 / exponent);
+  }
+  else {
+    return 0.0;
+  }
+}
+
+void voronoi_f1_3d(vector3 coord,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output vector3 outPosition)
+{
+  vector3 cellPosition = floor(coord);
+  vector3 localPosition = coord - cellPosition;
+
+  float minDistance = 8.0;
+  vector3 targetOffset, targetPosition;
+  for (int k = -1; k <= 1; k++) {
+    for (int j = -1; j <= 1; j++) {
+      for (int i = -1; i <= 1; i++) {
+        vector3 cellOffset = vector3(i, j, k);
+        vector3 pointPosition = cellOffset +
+                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
+        float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+        if (distanceToPoint < minDistance) {
+          targetOffset = cellOffset;
+          minDistance = distanceToPoint;
+          targetPosition = pointPosition;
+        }
+      }
+    }
+  }
+  outDistance = minDistance;
+  outColor = hash_vector3_to_color(cellPosition + targetOffset);
+  outPosition = targetPosition + cellPosition;
+}
+
+void voronoi_smooth_f1_3d(vector3 coord,
+                          float smoothness,
+                          float exponent,
+                          float randomness,
+                          string metric,
+                          output float outDistance,
+                          output color outColor,
+                          output vector3 outPosition)
+{
+  vector3 cellPosition = floor(coord);
+  vector3 localPosition = coord - cellPosition;
+
+  float smoothDistance = 8.0;
+  color smoothColor = color(0.0);
+  vector3 smoothPosition = vector3(0.0);
+  for (int k = -2; k <= 2; k++) {
+    for (int j = -2; j <= 2; j++) {
+      for (int i = -2; i <= 2; i++) {
+        vector3 cellOffset = vector3(i, j, k);
+        vector3 pointPosition = cellOffset +
+                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
+        float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+        float h = smoothstep(
+            0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
+        float correctionFactor = smoothness * h * (1.0 - h);
+        smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
+        correctionFactor /= 1.0 + 3.0 * smoothness;
+        color cellColor = hash_vector3_to_color(cellPosition + cellOffset);
+        smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
+        smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
+      }
+    }
+  }
+  outDistance = smoothDistance;
+  outColor = smoothColor;
+  outPosition = cellPosition + smoothPosition;
+}
+
+void voronoi_f2_3d(vector3 coord,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output vector3 outPosition)
+{
+  vector3 cellPosition = floor(coord);
+  vector3 localPosition = coord - cellPosition;
+
+  float distanceF1 = 8.0;
+  float distanceF2 = 8.0;
+  vector3 offsetF1 = vector3(0.0);
+  vector3 positionF1 = vector3(0.0);
+  vector3 offsetF2, positionF2;
+  for (int k = -1; k <= 1; k++) {
+    for (int j = -1; j <= 1; j++) {
+      for (int i = -1; i <= 1; i++) {
+        vector3 cellOffset = vector3(i, j, k);
+        vector3 pointPosition = cellOffset +
+                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
+        float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+        if (distanceToPoint < distanceF1) {
+          distanceF2 = distanceF1;
+          distanceF1 = distanceToPoint;
+          offsetF2 = offsetF1;
+          offsetF1 = cellOffset;
+          positionF2 = positionF1;
+          positionF1 = pointPosition;
+        }
+        else if (distanceToPoint < distanceF2) {
+          distanceF2 = distanceToPoint;
+          offsetF2 = cellOffset;
+          positionF2 = pointPosition;
+        }
+      }
+    }
+  }
+  outDistance = distanceF2;
+  outColor = hash_vector3_to_color(cellPosition + offsetF2);
+  outPosition = positionF2 + cellPosition;
+}
+
+void voronoi_distance_to_edge_3d(vector3 coord, float randomness, output float outDistance)
+{
+  vector3 cellPosition = floor(coord);
+  vector3 localPosition = coord - cellPosition;
+
+  vector3 vectorToClosest;
+  float minDistance = 8.0;
+  for (int k = -1; k <= 1; k++) {
+    for (int j = -1; j <= 1; j++) {
+      for (int i = -1; i <= 1; i++) {
+        vector3 cellOffset = vector3(i, j, k);
+        vector3 vectorToPoint = cellOffset +
+                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness -
+                                localPosition;
+        float distanceToPoint = dot(vectorToPoint, vectorToPoint);
+        if (distanceToPoint < minDistance) {
+          minDistance = distanceToPoint;
+          vectorToClosest = vectorToPoint;
+        }
+      }
+    }
+  }
+
+  minDistance = 8.0;
+  for (int k = -1; k <= 1; k++) {
+    for (int j = -1; j <= 1; j++) {
+      for (int i = -1; i <= 1; i++) {
+        vector3 cellOffset = vector3(i, j, k);
+        vector3 vectorToPoint = cellOffset +
+                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness -
+                                localPosition;
+        vector3 perpendicularToEdge = vectorToPoint - vectorToClosest;
+        if (dot(perpendicularToEdge, perpendicularToEdge) > 0.0001) {
+          float distanceToEdge = dot((vectorToClosest + vectorToPoint) / 2.0,
+                                     normalize((vector)perpendicularToEdge));
+          minDistance = min(minDistance, distanceToEdge);
+        }
+      }
+    }
+  }
+  outDistance = minDistance;
+}
+
+void voronoi_n_sphere_radius_3d(vector3 coord, float randomness, output float outRadius)
+{
+  vector3 cellPosition = floor(coord);
+  vector3 localPosition = coord - cellPosition;
+
+  vector3 closestPoint;
+  vector3 closestPointOffset;
+  float minDistance = 8.0;
+  for (int k = -1; k <= 1; k++) {
+    for (int j = -1; j <= 1; j++) {
+      for (int i = -1; i <= 1; i++) {
+        vector3 cellOffset = vector3(i, j, k);
+        vector3 pointPosition = cellOffset +
+                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
+        float distanceToPoint = distance(pointPosition, localPosition);
+        if (distanceToPoint < minDistance) {
+          minDistance = distanceToPoint;
+          closestPoint = pointPosition;
+          closestPointOffset = cellOffset;
+        }
+      }
+    }
+  }
+
+  minDistance = 8.0;
+  vector3 closestPointToClosestPoint;
+  for (int k = -1; k <= 1; k++) {
+    for (int j = -1; j <= 1; j++) {
+      for (int i = -1; i <= 1; i++) {
+        if (i == 0 && j == 0 && k == 0) {
+          continue;
+        }
+        vector3 cellOffset = vector3(i, j, k) + closestPointOffset;
+        vector3 pointPosition = cellOffset +
+                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
+        float distanceToPoint = distance(closestPoint, pointPosition);
+        if (distanceToPoint < minDistance) {
+          minDistance = distanceToPoint;
+          closestPointToClosestPoint = pointPosition;
+        }
+      }
+    }
+  }
+  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
+}
+
+/* **** 4D Voronoi **** */
+
+float voronoi_distance(vector4 a, vector4 b, string metric, float exponent)
+{
+  if (metric == "euclidean") {
+    return distance(a, b);
+  }
+  else if (metric == "manhattan") {
+    return abs(a.x - b.x) + abs(a.y - b.y) + abs(a.z - b.z) + abs(a.w - b.w);
+  }
+  else if (metric == "chebychev") {
+    return max(abs(a.x - b.x), max(abs(a.y - b.y), max(abs(a.z - b.z), abs(a.w - b.w))));
+  }
+  else if (metric == "minkowski") {
+    return pow(pow(abs(a.x - b.x), exponent) + pow(abs(a.y - b.y), exponent) +
+                   pow(abs(a.z - b.z), exponent) + pow(abs(a.w - b.w), exponent),
+               1.0 / exponent);
+  }
+  else {
+    return 0.0;
+  }
+}
+
+void voronoi_f1_4d(vector4 coord,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output vector4 outPosition)
+{
+  vector4 cellPosition = floor(coord);
+  vector4 localPosition = coord - cellPosition;
+
+  float minDistance = 8.0;
+  vector4 targetOffset, targetPosition;
+  for (int u = -1; u <= 1; u++) {
+    for (int k = -1; k <= 1; k++) {
+      for (int j = -1; j <= 1; j++) {
+        for (int i = -1; i <= 1; i++) {
+          vector4 cellOffset = vector4(i, j, k, u);
+          vector4 pointPosition = cellOffset +
+                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
+          float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+          if (distanceToPoint < minDistance) {
+            targetOffset = cellOffset;
+            minDistance = distanceToPoint;
+            targetPosition = pointPosition;
+          }
+        }
+      }
+    }
+  }
+  outDistance = minDistance;
+  outColor = hash_vector4_to_color(cellPosition + targetOffset);
+  outPosition = targetPosition + cellPosition;
+}
+
+void voronoi_smooth_f1_4d(vector4 coord,
+                          float smoothness,
+                          float exponent,
+                          float randomness,
+                          string metric,
+                          output float outDistance,
+                          output color outColor,
+                          output vector4 outPosition)
+{
+  vector4 cellPosition = floor(coord);
+  vector4 localPosition = coord - cellPosition;
+
+  float smoothDistance = 8.0;
+  color smoothColor = color(0.0);
+  vector4 smoothPosition = vector4(0.0, 0.0, 0.0, 0.0);
+  for (int u = -2; u <= 2; u++) {
+    for (int k = -2; k <= 2; k++) {
+      for (int j = -2; j <= 2; j++) {
+        for (int i = -2; i <= 2; i++) {
+          vector4 cellOffset = vector4(i, j, k, u);
+          vector4 pointPosition = cellOffset +
+                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
+          float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+          float h = smoothstep(
+              0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
+          float correctionFactor = smoothness * h * (1.0 - h);
+          smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
+          correctionFactor /= 1.0 + 3.0 * smoothness;
+          color cellColor = hash_vector4_to_color(cellPosition + cellOffset);
+          smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
+          smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
+        }
+      }
+    }
+  }
+  outDistance = smoothDistance;
+  outColor = smoothColor;
+  outPosition = cellPosition + smoothPosition;
+}
+
+void voronoi_f2_4d(vector4 coord,
+                   float exponent,
+                   float randomness,
+                   string metric,
+                   output float outDistance,
+                   output color outColor,
+                   output vector4 outPosition)
+{
+  vector4 cellPosition = floor(coord);
+  vector4 localPosition = coord - cellPosition;
+
+  float distanceF1 = 8.0;
+  float distanceF2 = 8.0;
+  vector4 offsetF1 = vector4(0.0, 0.0, 0.0, 0.0);
+  vector4 positionF1 = vector4(0.0, 0.0, 0.0, 0.0);
+  vector4 offsetF2, positionF2;
+  for (int u = -1; u <= 1; u++) {
+    for (int k = -1; k <= 1; k++) {
+      for (int j = -1; j <= 1; j++) {
+        for (int i = -1; i <= 1; i++) {
+          vector4 cellOffset = vector4(i, j, k, u);
+          vector4 pointPosition = cellOffset +
+                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
+          float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
+          if (distanceToPoint < distanceF1) {
+            distanceF2 = distanceF1;
+            distanceF1 = distanceToPoint;
+            offsetF2 = offsetF1;
+            offsetF1 = cellOffset;
+            positionF2 = positionF1;
+            positionF1 = pointPosition;
+          }
+          else if (distanceToPoint < distanceF2) {
+            distanceF2 = distanceToPoint;
+            offsetF2 = cellOffset;
+            positionF2 = pointPosition;
+          }
+        }
+      }
+    }
+  }
+  outDistance = distanceF2;
+  outColor = hash_vector4_to_color(cellPosition + offsetF2);
+  outPosition = positionF2 + cellPosition;
+}
+
+void voronoi_distance_to_edge_4d(vector4 coord, float randomness, output float outDistance)
+{
+  vector4 cellPosition = floor(coord);
+  vector4 localPosition = coord - cellPosition;
+
+  vector4 vectorToClosest;
+  float minDistance = 8.0;
+  for (int u = -1; u <= 1; u++) {
+    for (int k = -1; k <= 1; k++) {
+      for (int j = -1; j <= 1; j++) {
+        for (int i = -1; i <= 1; i++) {
+          vector4 cellOffset = vector4(i, j, k, u);
+          vector4 vectorToPoint = cellOffset +
+                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness -
+                                  localPosition;
+          float distanceToPoint = dot(vectorToPoint, vectorToPoint);
+          if (distanceToPoint < minDistance) {
+            minDistance = distanceToPoint;
+            vectorToClosest = vectorToPoint;
+          }
+        }
+      }
+    }
+  }
+
+  minDistance = 8.0;
+  for (int u = -1; u <= 1; u++) {
+    for (int k = -1; k <= 1; k++) {
+      for (int j = -1; j <= 1; j++) {
+        for (int i = -1; i <= 1; i++) {
+          vector4 cellOffset = vector4(i, j, k, u);
+          vector4 vectorToPoint = cellOffset +
+                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness -
+                                  localPosition;
+          vector4 perpendicularToEdge = vectorToPoint - vectorToClosest;
+          if (dot(perpendicularToEdge, perpendicularToEdge) > 0.0001) {
+            float distanceToEdge = dot((vectorToClosest + vectorToPoint) / 2.0,
+                                       normalize(perpendicularToEdge));
+            minDistance = min(minDistance, distanceToEdge);
+          }
+        }
+      }
+    }
+  }
+  outDistance = minDistance;
+}
+
+void voronoi_n_sphere_radius_4d(vector4 coord, float randomness, output float outRadius)
+{
+  vector4 cellPosition = floor(coord);
+  vector4 localPosition = coord - cellPosition;
+
+  vector4 closestPoint;
+  vector4 closestPointOffset;
+  float minDistance = 8.0;
+  for (int u = -1; u <= 1; u++) {
+    for (int k = -1; k <= 1; k++) {
+      for (int j = -1; j <= 1; j++) {
+        for (int i = -1; i <= 1; i++) {
+          vector4 cellOffset = vector4(i, j, k, u);
+          vector4 pointPosition = cellOffset +
+                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
+          float distanceToPoint = distance(pointPosition, localPosition);
+          if (distanceToPoint < minDistance) {
+            minDistance = distanceToPoint;
+            closestPoint = pointPosition;
+            closestPointOffset = cellOffset;
+          }
+        }
+      }
+    }
+  }
+
+  minDistance = 8.0;
+  vector4 closestPointToClosestPoint;
+  for (int u = -1; u <= 1; u++) {
+    for (int k = -1; k <= 1; k++) {
+      for (int j = -1; j <= 1; j++) {
+        for (int i = -1; i <= 1; i++) {
+          if (i == 0 && j == 0 && k == 0 && u == 0) {
+            continue;
+          }
+          vector4 cellOffset = vector4(i, j, k, u) + closestPointOffset;
+          vector4 pointPosition = cellOffset +
+                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
+          float distanceToPoint = distance(closestPoint, pointPosition);
+          if (distanceToPoint < minDistance) {
+            minDistance = distanceToPoint;
+            closestPointToClosestPoint = pointPosition;
+          }
+        }
+      }
+    }
+  }
+  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
+}
+
+shader node_voronoi_texture(
+    int use_mapping = 0,
+    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+    string dimensions = "3D",
+    string feature = "f1",
+    string metric = "euclidean",
+    vector3 Vector = P,
+    float WIn = 0.0,
+    float Scale = 5.0,
+    float Smoothness = 5.0,
+    float Exponent = 1.0,
+    float Randomness = 1.0,
+    output float Distance = 0.0,
+    output color Color = 0.0,
+    output vector3 Position = P,
+    output float WOut = 0.0,
+    output float Radius = 0.0)
+{
+  float randomness = clamp(Randomness, 0.0, 1.0);
+  float smoothness = clamp(Smoothness / 2.0, 0.0, 0.5);
+
+  vector3 coord = Vector;
+  if (use_mapping)
+    coord = transform(mapping, coord);
+
+  float w = WIn * Scale;
+  coord *= Scale;
+
+  if (dimensions == "1D") {
+    if (feature == "f1") {
+      voronoi_f1_1d(w, Exponent, randomness, metric, Distance, Color, WOut);
+    }
+    else if (feature == "smooth_f1") {
+      voronoi_smooth_f1_1d(w, smoothness, Exponent, randomness, metric, Distance, Color, WOut);
+    }
+    else if (feature == "f2") {
+      voronoi_f2_1d(w, Exponent, randomness, metric, Distance, Color, WOut);
+    }
+    else if (feature == "distance_to_edge") {
+      voronoi_distance_to_edge_1d(w, randomness, Distance);
+    }
+    else if (feature == "n_sphere_radius") {
+      voronoi_n_sphere_radius_1d(w, randomness, Radius);
+    }
+    else {
+      error("Unknown feature!");
+    }
+    WOut = (Scale != 0.0) ? WOut / Scale : 0.0;
+  }
+  else if (dimensions == "2D") {
+    vector2 coord2D = vector2(coord[0], coord[1]);
+    vector2 outPosition2D;
+    if (feature == "f1") {
+      voronoi_f1_2d(coord2D, Exponent, randomness, metric, Distance, Color, outPosition2D);
+    }
+    else if (feature == "smooth_f1") {
+      voronoi_smooth_f1_2d(
+          coord2D, smoothness, Exponent, randomness, metric, Distance, Color, outPosition2D);
+    }
+    else if (feature == "f2") {
+      voronoi_f2_2d(coord2D, Exponent, randomness, metric, Distance, Color, outPosition2D);
+    }
+    else if (feature == "distance_to_edge") {
+      voronoi_distance_to_edge_2d(coord2D, randomness, Distance);
+    }
+    else if (feature == "n_sphere_radius") {
+      voronoi_n_sphere_radius_2d(coord2D, randomness, Radius);
+    }
+    else {
+      error("Unknown feature!");
+    }
+    outPosition2D = safe_divide(outPosition2D, Scale);
+    Position = vector3(outPosition2D.x, outPosition2D.y, 0.0);
+  }
+  else if (dimensions == "3D") {
+    if (feature == "f1") {
+      voronoi_f1_3d(coord, Exponent, randomness, metric, Distance, Color, Position);
+    }
+    else if (feature == "smooth_f1") {
+      voronoi_smooth_f1_3d(
+          coord, smoothness, Exponent, randomness, metric, Distance, Color, Position);
+    }
+    else if (feature == "f2") {
+      voronoi_f2_3d(coord, Exponent, randomness, metric, Distance, Color, Position);
+    }
+    else if (feature == "distance_to_edge") {
+      voronoi_distance_to_edge_3d(coord, randomness, Distance);
+    }
+    else if (feature == "n_sphere_radius") {
+      voronoi_n_sphere_radius_3d(coord, randomness, Radius);
+    }
+    else {
+      error("Unknown feature!");
+    }
+    Position = (Scale != 0.0) ? Position / Scale : vector3(0.0);
+  }
+  else if (dimensions == "4D") {
+    vector4 coord4D = vector4(coord[0], coord[1], coord[2], w);
+    vector4 outPosition4D;
+    if (feature == "f1") {
+      voronoi_f1_4d(coord4D, Exponent, randomness, metric, Distance, Color, outPosition4D);
+    }
+    else if (feature == "smooth_f1") {
+      voronoi_smooth_f1_4d(
+          coord4D, smoothness, Exponent, randomness, metric, Distance, Color, outPosition4D);
+    }
+    else if (feature == "f2") {
+      voronoi_f2_4d(coord4D, Exponent, randomness, metric, Distance, Color, outPosition4D);
+    }
+    else if (feature == "distance_to_edge") {
+      voronoi_distance_to_edge_4d(coord4D, randomness, Distance);
+    }
+    else if (feature == "n_sphere_radius") {
+      voronoi_n_sphere_radius_4d(coord4D, randomness, Radius);
+    }
+    else {
+      error("Unknown feature!");
+    }
+    outPosition4D = safe_divide(outPosition4D, Scale);
+    Position = vector3(outPosition4D.x, outPosition4D.y, outPosition4D.z);
+    WOut = outPosition4D.w;
+  }
+  else {
+    error("Unknown dimension!");
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_voxel_texture.osl b/intern/cycles/kernel/osl/shaders/node_voxel_texture.osl
new file mode 100644
index 00000000000..14489298367
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_voxel_texture.osl
@@ -0,0 +1,45 @@
+/*
+ * Copyright 2011-2015 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_voxel_texture(string filename = "",
+                          string interpolation = "linear",
+                          int use_mapping = 0,
+                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+                          point Vector = P,
+                          output float Density = 0,
+                          output color Color = 0)
+{
+  point p = Vector;
+  if (use_mapping) {
+    p = transform(mapping, p);
+  }
+  else {
+    p = transform("object", Vector);
+    matrix tfm;
+    if (getattribute("geom:generated_transform", tfm))
+      p = transform(tfm, p);
+  }
+  if (p[0] < 0.0 || p[1] < 0.0 || p[2] < 0.0 || p[0] > 1.0 || p[1] > 1.0 || p[2] > 1.0) {
+    Density = 0;
+    Color = color(0, 0, 0);
+  }
+  else {
+    Color = (color)texture3d(
+        filename, p, "wrap", "periodic", "interp", interpolation, "alpha", Density);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_wave_texture.osl b/intern/cycles/kernel/osl/shaders/node_wave_texture.osl
new file mode 100644
index 00000000000..71d81dff7ec
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_wave_texture.osl
@@ -0,0 +1,119 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_noise.h"
+#include "stdcycles.h"
+
+/* Wave */
+
+float wave(point p_input,
+           string type,
+           string bands_direction,
+           string rings_direction,
+           string profile,
+           float distortion,
+           float detail,
+           float dscale,
+           float droughness,
+           float phase)
+{
+  /* Prevent precision issues on unit coordinates. */
+  point p = (p_input + 0.000001) * 0.999999;
+
+  float n = 0.0;
+
+  if (type == "bands") {
+    if (bands_direction == "x") {
+      n = p[0] * 20.0;
+    }
+    else if (bands_direction == "y") {
+      n = p[1] * 20.0;
+    }
+    else if (bands_direction == "z") {
+      n = p[2] * 20.0;
+    }
+    else { /* diagonal */
+      n = (p[0] + p[1] + p[2]) * 10.0;
+    }
+  }
+  else if (type == "rings") {
+    point rp = p;
+    if (rings_direction == "x") {
+      rp *= point(0.0, 1.0, 1.0);
+    }
+    else if (rings_direction == "y") {
+      rp *= point(1.0, 0.0, 1.0);
+    }
+    else if (rings_direction == "z") {
+      rp *= point(1.0, 1.0, 0.0);
+    }
+    /* else: "spherical" */
+
+    n = length(rp) * 20.0;
+  }
+
+  n += phase;
+
+  if (distortion != 0.0) {
+    n = n + (distortion * (fractal_noise(p * dscale, detail, droughness) * 2.0 - 1.0));
+  }
+
+  if (profile == "sine") {
+    return 0.5 + 0.5 * sin(n - M_PI_2);
+  }
+  else if (profile == "saw") {
+    n /= M_2PI;
+    return n - floor(n);
+  }
+  else { /* profile tri */
+    n /= M_2PI;
+    return abs(n - floor(n + 0.5)) * 2.0;
+  }
+}
+
+shader node_wave_texture(int use_mapping = 0,
+                         matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
+                         string wave_type = "bands",
+                         string bands_direction = "x",
+                         string rings_direction = "x",
+                         string profile = "sine",
+                         float Scale = 5.0,
+                         float Distortion = 0.0,
+                         float Detail = 2.0,
+                         float DetailScale = 1.0,
+                         float DetailRoughness = 0.5,
+                         float PhaseOffset = 0.0,
+                         point Vector = P,
+                         output float Fac = 0.0,
+                         output color Color = 0.0)
+{
+  point p = Vector;
+
+  if (use_mapping)
+    p = transform(mapping, p);
+
+  Fac = wave(p * Scale,
+             wave_type,
+             bands_direction,
+             rings_direction,
+             profile,
+             Distortion,
+             Detail,
+             DetailScale,
+             DetailRoughness,
+             PhaseOffset);
+  Color = Fac;
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_wavelength.osl b/intern/cycles/kernel/osl/shaders/node_wavelength.osl
new file mode 100644
index 00000000000..f484c4b4788
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_wavelength.osl
@@ -0,0 +1,22 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "stdcycles.h"
+
+shader node_wavelength(float Wavelength = 500.0, output color Color = 0.0)
+{
+  Color = wavelength_color(Wavelength);
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_white_noise_texture.osl b/intern/cycles/kernel/osl/shaders/node_white_noise_texture.osl
new file mode 100644
index 00000000000..94735a019d5
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_white_noise_texture.osl
@@ -0,0 +1,49 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "node_hash.h"
+#include "stdcycles.h"
+#include "vector2.h"
+#include "vector4.h"
+
+#define vector3 point
+
+shader node_white_noise_texture(string dimensions = "3D",
+                                point Vector = point(0.0, 0.0, 0.0),
+                                float W = 0.0,
+                                output float Value = 0.0,
+                                output color Color = 0.0)
+{
+  if (dimensions == "1D") {
+    Value = noise("hash", W);
+    Color = hash_float_to_color(W);
+  }
+  else if (dimensions == "2D") {
+    Value = noise("hash", Vector[0], Vector[1]);
+    Color = hash_vector2_to_color(vector2(Vector[0], Vector[1]));
+  }
+  else if (dimensions == "3D") {
+    Value = noise("hash", Vector);
+    Color = hash_vector3_to_color(vector3(Vector[0], Vector[1], Vector[2]));
+  }
+  else if (dimensions == "4D") {
+    Value = noise("hash", Vector, W);
+    Color = hash_vector4_to_color(vector4(Vector[0], Vector[1], Vector[2], W));
+  }
+  else {
+    warning("%s", "Unknown dimension!");
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/node_wireframe.osl b/intern/cycles/kernel/osl/shaders/node_wireframe.osl
new file mode 100644
index 00000000000..673a451c928
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/node_wireframe.osl
@@ -0,0 +1,40 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "oslutil.h"
+#include "stdcycles.h"
+
+shader node_wireframe(string bump_offset = "center",
+                      int use_pixel_size = 0,
+                      float Size = 0.01,
+                      output float Fac = 0.0)
+{
+  Fac = wireframe("triangles", Size, use_pixel_size);
+  /* TODO(sergey): Since we can't use autodiff here we do algebraic
+   * calculation of derivatives by definition. We could probably
+   * optimize this a bit by doing some extra calculation in wireframe().
+   */
+  if (bump_offset == "dx") {
+    point dx = Dx(P);
+    P -= dx;
+    Fac += (Fac - wireframe("triangles", Size, use_pixel_size)) / length(dx);
+  }
+  else if (bump_offset == "dy") {
+    point dy = Dy(P);
+    P -= dy;
+    Fac += (Fac - wireframe("triangles", Size, use_pixel_size)) / length(dy);
+  }
+}
diff --git a/intern/cycles/kernel/osl/shaders/stdcycles.h b/intern/cycles/kernel/osl/shaders/stdcycles.h
new file mode 100644
index 00000000000..dd604da68ce
--- /dev/null
+++ b/intern/cycles/kernel/osl/shaders/stdcycles.h
@@ -0,0 +1,150 @@
+/////////////////////////////////////////////////////////////////////////////
+// Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.  All Rights Reserved.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+// * Redistributions of source code must retain the above copyright
+//   notice, this list of conditions and the following disclaimer.
+// * Redistributions in binary form must reproduce the above copyright
+//   notice, this list of conditions and the following disclaimer in the
+//   documentation and/or other materials provided with the distribution.
+// * Neither the name of Sony Pictures Imageworks nor the names of its
+//   contributors may be used to endorse or promote products derived from
+//   this software without specific prior written permission.
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+/////////////////////////////////////////////////////////////////////////////
+
+#ifndef CCL_STDCYCLESOSL_H
+#define CCL_STDCYCLESOSL_H
+
+#include "stdosl.h"
+
+// Declaration of built-in functions and closures, stdosl.h does not make
+// these available so we have to redefine them.
+#define BUILTIN [[int builtin = 1]]
+#define BUILTIN_DERIV [[ int builtin = 1, int deriv = 1 ]]
+
+closure color diffuse_ramp(normal N, color colors[8]) BUILTIN;
+closure color phong_ramp(normal N, float exponent, color colors[8]) BUILTIN;
+closure color diffuse_toon(normal N, float size, float smooth) BUILTIN;
+closure color glossy_toon(normal N, float size, float smooth) BUILTIN;
+closure color microfacet_ggx(normal N, float ag) BUILTIN;
+closure color microfacet_ggx_aniso(normal N, vector T, float ax, float ay) BUILTIN;
+closure color microfacet_ggx_refraction(normal N, float ag, float eta) BUILTIN;
+closure color microfacet_multi_ggx(normal N, float ag, color C) BUILTIN;
+closure color microfacet_multi_ggx_aniso(normal N, vector T, float ax, float ay, color C) BUILTIN;
+closure color microfacet_multi_ggx_glass(normal N, float ag, float eta, color C) BUILTIN;
+closure color microfacet_ggx_fresnel(normal N, float ag, float eta, color C, color Cspec0) BUILTIN;
+closure color microfacet_ggx_aniso_fresnel(
+    normal N, vector T, float ax, float ay, float eta, color C, color Cspec0) BUILTIN;
+closure color
+microfacet_multi_ggx_fresnel(normal N, float ag, float eta, color C, color Cspec0) BUILTIN;
+closure color microfacet_multi_ggx_aniso_fresnel(
+    normal N, vector T, float ax, float ay, float eta, color C, color Cspec0) BUILTIN;
+closure color
+microfacet_multi_ggx_glass_fresnel(normal N, float ag, float eta, color C, color Cspec0) BUILTIN;
+closure color microfacet_beckmann(normal N, float ab) BUILTIN;
+closure color microfacet_beckmann_aniso(normal N, vector T, float ax, float ay) BUILTIN;
+closure color microfacet_beckmann_refraction(normal N, float ab, float eta) BUILTIN;
+closure color ashikhmin_shirley(normal N, vector T, float ax, float ay) BUILTIN;
+closure color ashikhmin_velvet(normal N, float sigma) BUILTIN;
+closure color ambient_occlusion() BUILTIN;
+closure color principled_diffuse(normal N, float roughness) BUILTIN;
+closure color principled_sheen(normal N) BUILTIN;
+closure color principled_clearcoat(normal N, float clearcoat, float clearcoat_roughness) BUILTIN;
+
+// BSSRDF
+closure color bssrdf(string method, normal N, vector radius, color albedo) BUILTIN;
+
+// Hair
+closure color
+hair_reflection(normal N, float roughnessu, float roughnessv, vector T, float offset) BUILTIN;
+closure color
+hair_transmission(normal N, float roughnessu, float roughnessv, vector T, float offset) BUILTIN;
+closure color principled_hair(normal N,
+                              color sigma,
+                              float roughnessu,
+                              float roughnessv,
+                              float coat,
+                              float alpha,
+                              float eta) BUILTIN;
+
+// Volume
+closure color henyey_greenstein(float g) BUILTIN;
+closure color absorption() BUILTIN;
+
+normal ensure_valid_reflection(normal Ng, vector I, normal N)
+{
+  /* The implementation here mirrors the one in kernel_montecarlo.h,
+   * check there for an explanation of the algorithm. */
+
+  float sqr(float x)
+  {
+    return x * x;
+  }
+
+  vector R = 2 * dot(N, I) * N - I;
+
+  float threshold = min(0.9 * dot(Ng, I), 0.01);
+  if (dot(Ng, R) >= threshold) {
+    return N;
+  }
+
+  float NdotNg = dot(N, Ng);
+  vector X = normalize(N - NdotNg * Ng);
+
+  float Ix = dot(I, X), Iz = dot(I, Ng);
+  float Ix2 = sqr(Ix), Iz2 = sqr(Iz);
+  float a = Ix2 + Iz2;
+
+  float b = sqrt(Ix2 * (a - sqr(threshold)));
+  float c = Iz * threshold + a;
+
+  float fac = 0.5 / a;
+  float N1_z2 = fac * (b + c), N2_z2 = fac * (-b + c);
+  int valid1 = (N1_z2 > 1e-5) && (N1_z2 <= (1.0 + 1e-5));
+  int valid2 = (N2_z2 > 1e-5) && (N2_z2 <= (1.0 + 1e-5));
+
+  float N_new_x, N_new_z;
+  if (valid1 && valid2) {
+    float N1_x = sqrt(1.0 - N1_z2), N1_z = sqrt(N1_z2);
+    float N2_x = sqrt(1.0 - N2_z2), N2_z = sqrt(N2_z2);
+
+    float R1 = 2 * (N1_x * Ix + N1_z * Iz) * N1_z - Iz;
+    float R2 = 2 * (N2_x * Ix + N2_z * Iz) * N2_z - Iz;
+
+    valid1 = (R1 >= 1e-5);
+    valid2 = (R2 >= 1e-5);
+    if (valid1 && valid2) {
+      N_new_x = (R1 < R2) ? N1_x : N2_x;
+      N_new_z = (R1 < R2) ? N1_z : N2_z;
+    }
+    else {
+      N_new_x = (R1 > R2) ? N1_x : N2_x;
+      N_new_z = (R1 > R2) ? N1_z : N2_z;
+    }
+  }
+  else if (valid1 || valid2) {
+    float Nz2 = valid1 ? N1_z2 : N2_z2;
+    N_new_x = sqrt(1.0 - Nz2);
+    N_new_z = sqrt(Nz2);
+  }
+  else {
+    return Ng;
+  }
+
+  return N_new_x * X + N_new_z * Ng;
+}
+
+#endif /* CCL_STDOSL_H */
diff --git a/intern/cycles/kernel/sample/sample_jitter.h b/intern/cycles/kernel/sample/sample_jitter.h
new file mode 100644
index 00000000000..b62ec7fda42
--- /dev/null
+++ b/intern/cycles/kernel/sample/sample_jitter.h
@@ -0,0 +1,169 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+CCL_NAMESPACE_BEGIN
+
+ccl_device_inline uint32_t laine_karras_permutation(uint32_t x, uint32_t seed)
+{
+  x += seed;
+  x ^= (x * 0x6c50b47cu);
+  x ^= x * 0xb82f1e52u;
+  x ^= x * 0xc7afe638u;
+  x ^= x * 0x8d22f6e6u;
+
+  return x;
+}
+
+ccl_device_inline uint32_t nested_uniform_scramble(uint32_t x, uint32_t seed)
+{
+  x = reverse_integer_bits(x);
+  x = laine_karras_permutation(x, seed);
+  x = reverse_integer_bits(x);
+
+  return x;
+}
+
+ccl_device_inline uint cmj_hash(uint i, uint p)
+{
+  i ^= p;
+  i ^= i >> 17;
+  i ^= i >> 10;
+  i *= 0xb36534e5;
+  i ^= i >> 12;
+  i ^= i >> 21;
+  i *= 0x93fc4795;
+  i ^= 0xdf6e307f;
+  i ^= i >> 17;
+  i *= 1 | p >> 18;
+
+  return i;
+}
+
+ccl_device_inline uint cmj_hash_simple(uint i, uint p)
+{
+  i = (i ^ 61) ^ p;
+  i += i << 3;
+  i ^= i >> 4;
+  i *= 0x27d4eb2d;
+  return i;
+}
+
+ccl_device_inline float cmj_randfloat(uint i, uint p)
+{
+  return cmj_hash(i, p) * (1.0f / 4294967808.0f);
+}
+
+ccl_device_inline float cmj_randfloat_simple(uint i, uint p)
+{
+  return cmj_hash_simple(i, p) * (1.0f / (float)0xFFFFFFFF);
+}
+
+ccl_device float pmj_sample_1D(KernelGlobals kg, uint sample, uint rng_hash, uint dimension)
+{
+  /* Perform Owen shuffle of the sample number to reorder the samples. */
+#ifdef _SIMPLE_HASH_
+  const uint rv = cmj_hash_simple(dimension, rng_hash);
+#else /* Use a _REGULAR_HASH_. */
+  const uint rv = cmj_hash(dimension, rng_hash);
+#endif
+#ifdef _XOR_SHUFFLE_
+#  warning "Using XOR shuffle."
+  const uint s = sample ^ rv;
+#else /* Use _OWEN_SHUFFLE_ for reordering. */
+  const uint s = nested_uniform_scramble(sample, rv);
+#endif
+
+  /* Based on the sample number a sample pattern is selected and offset by the dimension. */
+  const uint sample_set = s / NUM_PMJ_SAMPLES;
+  const uint d = (dimension + sample_set);
+  const uint dim = d % NUM_PMJ_PATTERNS;
+
+  /* The PMJ sample sets contain a sample with (x,y) with NUM_PMJ_SAMPLES so for 1D
+   *  the x part is used for even dims and the y for odd. */
+  int index = 2 * ((dim >> 1) * NUM_PMJ_SAMPLES + (s % NUM_PMJ_SAMPLES)) + (dim & 1);
+
+  float fx = kernel_tex_fetch(__sample_pattern_lut, index);
+
+#ifndef _NO_CRANLEY_PATTERSON_ROTATION_
+  /* Use Cranley-Patterson rotation to displace the sample pattern. */
+#  ifdef _SIMPLE_HASH_
+  float dx = cmj_randfloat_simple(d, rng_hash);
+#  else
+  float dx = cmj_randfloat(d, rng_hash);
+#  endif
+  /* Jitter sample locations and map back into [0 1]. */
+  fx = fx + dx;
+  fx = fx - floorf(fx);
+#else
+#  warning "Not using Cranley-Patterson Rotation."
+#endif
+
+  return fx;
+}
+
+ccl_device void pmj_sample_2D(KernelGlobals kg,
+                              uint sample,
+                              uint rng_hash,
+                              uint dimension,
+                              ccl_private float *x,
+                              ccl_private float *y)
+{
+  /* Perform a shuffle on the sample number to reorder the samples. */
+#ifdef _SIMPLE_HASH_
+  const uint rv = cmj_hash_simple(dimension, rng_hash);
+#else /* Use a _REGULAR_HASH_. */
+  const uint rv = cmj_hash(dimension, rng_hash);
+#endif
+#ifdef _XOR_SHUFFLE_
+#  warning "Using XOR shuffle."
+  const uint s = sample ^ rv;
+#else /* Use _OWEN_SHUFFLE_ for reordering. */
+  const uint s = nested_uniform_scramble(sample, rv);
+#endif
+
+  /* Based on the sample number a sample pattern is selected and offset by the dimension. */
+  const uint sample_set = s / NUM_PMJ_SAMPLES;
+  const uint d = (dimension + sample_set);
+  uint dim = d % NUM_PMJ_PATTERNS;
+  int index = 2 * (dim * NUM_PMJ_SAMPLES + (s % NUM_PMJ_SAMPLES));
+
+  float fx = kernel_tex_fetch(__sample_pattern_lut, index);
+  float fy = kernel_tex_fetch(__sample_pattern_lut, index + 1);
+
+#ifndef _NO_CRANLEY_PATTERSON_ROTATION_
+  /* Use Cranley-Patterson rotation to displace the sample pattern. */
+#  ifdef _SIMPLE_HASH_
+  float dx = cmj_randfloat_simple(d, rng_hash);
+  float dy = cmj_randfloat_simple(d + 1, rng_hash);
+#  else
+  float dx = cmj_randfloat(d, rng_hash);
+  float dy = cmj_randfloat(d + 1, rng_hash);
+#  endif
+  /* Jitter sample locations and map back to the unit square [0 1]x[0 1]. */
+  float sx = fx + dx;
+  float sy = fy + dy;
+  sx = sx - floorf(sx);
+  sy = sy - floorf(sy);
+#else
+#  warning "Not using Cranley Patterson Rotation."
+#endif
+
+  (*x) = sx;
+  (*y) = sy;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/sample/sample_lcg.h b/intern/cycles/kernel/sample/sample_lcg.h
new file mode 100644
index 00000000000..92cfff639b4
--- /dev/null
+++ b/intern/cycles/kernel/sample/sample_lcg.h
@@ -0,0 +1,51 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* Linear Congruential Generator */
+
+ccl_device uint lcg_step_uint(uint *rng)
+{
+  /* implicit mod 2^32 */
+  *rng = (1103515245 * (*rng) + 12345);
+  return *rng;
+}
+
+ccl_device float lcg_step_float(uint *rng)
+{
+  /* implicit mod 2^32 */
+  *rng = (1103515245 * (*rng) + 12345);
+  return (float)*rng * (1.0f / (float)0xFFFFFFFF);
+}
+
+ccl_device uint lcg_init(uint seed)
+{
+  uint rng = seed;
+  lcg_step_uint(&rng);
+  return rng;
+}
+
+ccl_device_inline uint lcg_state_init(const uint rng_hash,
+                                      const uint rng_offset,
+                                      const uint sample,
+                                      const uint scramble)
+{
+  return lcg_init(rng_hash + rng_offset + sample * scramble);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/sample/sample_mapping.h b/intern/cycles/kernel/sample/sample_mapping.h
new file mode 100644
index 00000000000..3297aa2a29a
--- /dev/null
+++ b/intern/cycles/kernel/sample/sample_mapping.h
@@ -0,0 +1,177 @@
+/*
+ * Parts adapted from Open Shading Language with this license:
+ *
+ * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
+ * All Rights Reserved.
+ *
+ * Modifications Copyright 2011, Blender Foundation.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ * * Redistributions of source code must retain the above copyright
+ *   notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright
+ *   notice, this list of conditions and the following disclaimer in the
+ *   documentation and/or other materials provided with the distribution.
+ * * Neither the name of Sony Pictures Imageworks nor the names of its
+ *   contributors may be used to endorse or promote products derived from
+ *   this software without specific prior written permission.
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* distribute uniform xy on [0,1] over unit disk [-1,1] */
+ccl_device void to_unit_disk(ccl_private float *x, ccl_private float *y)
+{
+  float phi = M_2PI_F * (*x);
+  float r = sqrtf(*y);
+
+  *x = r * cosf(phi);
+  *y = r * sinf(phi);
+}
+
+/* return an orthogonal tangent and bitangent given a normal and tangent that
+ * may not be exactly orthogonal */
+ccl_device void make_orthonormals_tangent(const float3 N,
+                                          const float3 T,
+                                          ccl_private float3 *a,
+                                          ccl_private float3 *b)
+{
+  *b = normalize(cross(N, T));
+  *a = cross(*b, N);
+}
+
+/* sample direction with cosine weighted distributed in hemisphere */
+ccl_device_inline void sample_cos_hemisphere(
+    const float3 N, float randu, float randv, ccl_private float3 *omega_in, ccl_private float *pdf)
+{
+  to_unit_disk(&randu, &randv);
+  float costheta = sqrtf(max(1.0f - randu * randu - randv * randv, 0.0f));
+  float3 T, B;
+  make_orthonormals(N, &T, &B);
+  *omega_in = randu * T + randv * B + costheta * N;
+  *pdf = costheta * M_1_PI_F;
+}
+
+/* sample direction uniformly distributed in hemisphere */
+ccl_device_inline void sample_uniform_hemisphere(
+    const float3 N, float randu, float randv, ccl_private float3 *omega_in, ccl_private float *pdf)
+{
+  float z = randu;
+  float r = sqrtf(max(0.0f, 1.0f - z * z));
+  float phi = M_2PI_F * randv;
+  float x = r * cosf(phi);
+  float y = r * sinf(phi);
+
+  float3 T, B;
+  make_orthonormals(N, &T, &B);
+  *omega_in = x * T + y * B + z * N;
+  *pdf = 0.5f * M_1_PI_F;
+}
+
+/* sample direction uniformly distributed in cone */
+ccl_device_inline void sample_uniform_cone(const float3 N,
+                                           float angle,
+                                           float randu,
+                                           float randv,
+                                           ccl_private float3 *omega_in,
+                                           ccl_private float *pdf)
+{
+  float zMin = cosf(angle);
+  float z = zMin - zMin * randu + randu;
+  float r = safe_sqrtf(1.0f - sqr(z));
+  float phi = M_2PI_F * randv;
+  float x = r * cosf(phi);
+  float y = r * sinf(phi);
+
+  float3 T, B;
+  make_orthonormals(N, &T, &B);
+  *omega_in = x * T + y * B + z * N;
+  *pdf = M_1_2PI_F / (1.0f - zMin);
+}
+
+ccl_device_inline float pdf_uniform_cone(const float3 N, float3 D, float angle)
+{
+  float zMin = cosf(angle);
+  float z = dot(N, D);
+  if (z > zMin) {
+    return M_1_2PI_F / (1.0f - zMin);
+  }
+  return 0.0f;
+}
+
+/* sample uniform point on the surface of a sphere */
+ccl_device float3 sample_uniform_sphere(float u1, float u2)
+{
+  float z = 1.0f - 2.0f * u1;
+  float r = sqrtf(fmaxf(0.0f, 1.0f - z * z));
+  float phi = M_2PI_F * u2;
+  float x = r * cosf(phi);
+  float y = r * sinf(phi);
+
+  return make_float3(x, y, z);
+}
+
+/* distribute uniform xy on [0,1] over unit disk [-1,1], with concentric mapping
+ * to better preserve stratification for some RNG sequences */
+ccl_device float2 concentric_sample_disk(float u1, float u2)
+{
+  float phi, r;
+  float a = 2.0f * u1 - 1.0f;
+  float b = 2.0f * u2 - 1.0f;
+
+  if (a == 0.0f && b == 0.0f) {
+    return zero_float2();
+  }
+  else if (a * a > b * b) {
+    r = a;
+    phi = M_PI_4_F * (b / a);
+  }
+  else {
+    r = b;
+    phi = M_PI_2_F - M_PI_4_F * (a / b);
+  }
+
+  return make_float2(r * cosf(phi), r * sinf(phi));
+}
+
+/* sample point in unit polygon with given number of corners and rotation */
+ccl_device float2 regular_polygon_sample(float corners, float rotation, float u, float v)
+{
+  /* sample corner number and reuse u */
+  float corner = floorf(u * corners);
+  u = u * corners - corner;
+
+  /* uniform sampled triangle weights */
+  u = sqrtf(u);
+  v = v * u;
+  u = 1.0f - u;
+
+  /* point in triangle */
+  float angle = M_PI_F / corners;
+  float2 p = make_float2((u + v) * cosf(angle), (u - v) * sinf(angle));
+
+  /* rotate */
+  rotation += corner * 2.0f * angle;
+
+  float cr = cosf(rotation);
+  float sr = sinf(rotation);
+
+  return make_float2(cr * p.x - sr * p.y, sr * p.x + cr * p.y);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/sample/sample_mis.h b/intern/cycles/kernel/sample/sample_mis.h
new file mode 100644
index 00000000000..0878b3aac36
--- /dev/null
+++ b/intern/cycles/kernel/sample/sample_mis.h
@@ -0,0 +1,64 @@
+/*
+ * Parts adapted from Open Shading Language with this license:
+ *
+ * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
+ * All Rights Reserved.
+ *
+ * Modifications Copyright 2011, Blender Foundation.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ * * Redistributions of source code must retain the above copyright
+ *   notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright
+ *   notice, this list of conditions and the following disclaimer in the
+ *   documentation and/or other materials provided with the distribution.
+ * * Neither the name of Sony Pictures Imageworks nor the names of its
+ *   contributors may be used to endorse or promote products derived from
+ *   this software without specific prior written permission.
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* Multiple importance sampling utilities. */
+
+ccl_device float balance_heuristic(float a, float b)
+{
+  return (a) / (a + b);
+}
+
+ccl_device float balance_heuristic_3(float a, float b, float c)
+{
+  return (a) / (a + b + c);
+}
+
+ccl_device float power_heuristic(float a, float b)
+{
+  return (a * a) / (a * a + b * b);
+}
+
+ccl_device float power_heuristic_3(float a, float b, float c)
+{
+  return (a * a) / (a * a + b * b + c * c);
+}
+
+ccl_device float max_heuristic(float a, float b)
+{
+  return (a > b) ? 1.0f : 0.0f;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/sample/sample_pattern.h b/intern/cycles/kernel/sample/sample_pattern.h
new file mode 100644
index 00000000000..95635c2c855
--- /dev/null
+++ b/intern/cycles/kernel/sample/sample_pattern.h
@@ -0,0 +1,185 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+#pragma once
+
+#include "kernel/sample/sample_jitter.h"
+#include "util/util_hash.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Pseudo random numbers, uncomment this for debugging correlations. Only run
+ * this single threaded on a CPU for repeatable results. */
+//#define __DEBUG_CORRELATION__
+
+/* High Dimensional Sobol.
+ *
+ * Multidimensional sobol with generator matrices. Dimension 0 and 1 are equal
+ * to classic Van der Corput and Sobol sequences. */
+
+#ifdef __SOBOL__
+
+/* Skip initial numbers that for some dimensions have clear patterns that
+ * don't cover the entire sample space. Ideally we would have a better
+ * progressive pattern that doesn't suffer from this problem, because even
+ * with this offset some dimensions are quite poor.
+ */
+#  define SOBOL_SKIP 64
+
+ccl_device uint sobol_dimension(KernelGlobals kg, int index, int dimension)
+{
+  uint result = 0;
+  uint i = index + SOBOL_SKIP;
+  for (int j = 0, x; (x = find_first_set(i)); i >>= x) {
+    j += x;
+    result ^= __float_as_uint(kernel_tex_fetch(__sample_pattern_lut, 32 * dimension + j - 1));
+  }
+  return result;
+}
+
+#endif /* __SOBOL__ */
+
+ccl_device_forceinline float path_rng_1D(KernelGlobals kg,
+                                         uint rng_hash,
+                                         int sample,
+                                         int dimension)
+{
+#ifdef __DEBUG_CORRELATION__
+  return (float)drand48();
+#endif
+
+#ifdef __SOBOL__
+  if (kernel_data.integrator.sampling_pattern == SAMPLING_PATTERN_PMJ)
+#endif
+  {
+    return pmj_sample_1D(kg, sample, rng_hash, dimension);
+  }
+
+#ifdef __SOBOL__
+  /* Sobol sequence value using direction vectors. */
+  uint result = sobol_dimension(kg, sample, dimension);
+  float r = (float)result * (1.0f / (float)0xFFFFFFFF);
+
+  /* Cranly-Patterson rotation using rng seed */
+  float shift;
+
+  /* Hash rng with dimension to solve correlation issues.
+   * See T38710, T50116.
+   */
+  uint tmp_rng = cmj_hash_simple(dimension, rng_hash);
+  shift = tmp_rng * (1.0f / (float)0xFFFFFFFF);
+
+  return r + shift - floorf(r + shift);
+#endif
+}
+
+ccl_device_forceinline void path_rng_2D(KernelGlobals kg,
+                                        uint rng_hash,
+                                        int sample,
+                                        int dimension,
+                                        ccl_private float *fx,
+                                        ccl_private float *fy)
+{
+#ifdef __DEBUG_CORRELATION__
+  *fx = (float)drand48();
+  *fy = (float)drand48();
+  return;
+#endif
+
+#ifdef __SOBOL__
+  if (kernel_data.integrator.sampling_pattern == SAMPLING_PATTERN_PMJ)
+#endif
+  {
+    pmj_sample_2D(kg, sample, rng_hash, dimension, fx, fy);
+
+    return;
+  }
+
+#ifdef __SOBOL__
+  /* Sobol. */
+  *fx = path_rng_1D(kg, rng_hash, sample, dimension);
+  *fy = path_rng_1D(kg, rng_hash, sample, dimension + 1);
+#endif
+}
+
+/**
+ * 1D hash recommended from "Hash Functions for GPU Rendering" JCGT Vol. 9, No. 3, 2020
+ * See https://www.shadertoy.com/view/4tXyWN and https://www.shadertoy.com/view/XlGcRh
+ * http://www.jcgt.org/published/0009/03/02/paper.pdf
+ */
+ccl_device_inline uint hash_iqint1(uint n)
+{
+  n = (n << 13U) ^ n;
+  n = n * (n * n * 15731U + 789221U) + 1376312589U;
+
+  return n;
+}
+
+/**
+ * 2D hash recommended from "Hash Functions for GPU Rendering" JCGT Vol. 9, No. 3, 2020
+ * See https://www.shadertoy.com/view/4tXyWN and https://www.shadertoy.com/view/XlGcRh
+ * http://www.jcgt.org/published/0009/03/02/paper.pdf
+ */
+ccl_device_inline uint hash_iqnt2d(const uint x, const uint y)
+{
+  const uint qx = 1103515245U * ((x >> 1U) ^ (y));
+  const uint qy = 1103515245U * ((y >> 1U) ^ (x));
+  const uint n = 1103515245U * ((qx) ^ (qy >> 3U));
+
+  return n;
+}
+
+ccl_device_inline uint path_rng_hash_init(KernelGlobals kg,
+                                          const int sample,
+                                          const int x,
+                                          const int y)
+{
+  const uint rng_hash = hash_iqnt2d(x, y) ^ kernel_data.integrator.seed;
+
+#ifdef __DEBUG_CORRELATION__
+  srand48(rng_hash + sample);
+#else
+  (void)sample;
+#endif
+
+  return rng_hash;
+}
+
+ccl_device_inline bool sample_is_even(int pattern, int sample)
+{
+  if (pattern == SAMPLING_PATTERN_PMJ) {
+    /* See Section 10.2.1, "Progressive Multi-Jittered Sample Sequences", Christensen et al.
+     * We can use this to get divide sample sequence into two classes for easier variance
+     * estimation. */
+#if defined(__GNUC__) && !defined(__KERNEL_GPU__)
+    return __builtin_popcount(sample & 0xaaaaaaaa) & 1;
+#elif defined(__NVCC__)
+    return __popc(sample & 0xaaaaaaaa) & 1;
+#else
+    /* TODO(Stefan): pop-count intrinsic for Windows with fallback for older CPUs. */
+    int i = sample & 0xaaaaaaaa;
+    i = i - ((i >> 1) & 0x55555555);
+    i = (i & 0x33333333) + ((i >> 2) & 0x33333333);
+    i = (((i + (i >> 4)) & 0xF0F0F0F) * 0x1010101) >> 24;
+    return i & 1;
+#endif
+  }
+  else {
+    /* TODO(Stefan): Are there reliable ways of dividing CMJ and Sobol into two classes? */
+    return sample & 0x1;
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/shaders/CMakeLists.txt b/intern/cycles/kernel/shaders/CMakeLists.txt
deleted file mode 100644
index 6b62e7bb52f..00000000000
--- a/intern/cycles/kernel/shaders/CMakeLists.txt
+++ /dev/null
@@ -1,155 +0,0 @@
-# Copyright 2011-2020 Blender Foundation
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-# http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-
-# OSL node shaders
-
-set(SRC_OSL
-  node_add_closure.osl
-  node_ambient_occlusion.osl
-  node_anisotropic_bsdf.osl
-  node_attribute.osl
-  node_background.osl
-  node_bevel.osl
-  node_brick_texture.osl
-  node_brightness.osl
-  node_bump.osl
-  node_camera.osl
-  node_checker_texture.osl
-  node_clamp.osl
-  node_combine_rgb.osl
-  node_combine_hsv.osl
-  node_combine_xyz.osl
-  node_convert_from_color.osl
-  node_convert_from_float.osl
-  node_convert_from_int.osl
-  node_convert_from_normal.osl
-  node_convert_from_point.osl
-  node_convert_from_vector.osl
-  node_diffuse_bsdf.osl
-  node_displacement.osl
-  node_vector_displacement.osl
-  node_emission.osl
-  node_environment_texture.osl
-  node_float_curve.osl
-  node_fresnel.osl
-  node_gamma.osl
-  node_geometry.osl
-  node_glass_bsdf.osl
-  node_glossy_bsdf.osl
-  node_gradient_texture.osl
-  node_hair_info.osl
-  node_scatter_volume.osl
-  node_absorption_volume.osl
-  node_principled_volume.osl
-  node_holdout.osl
-  node_hsv.osl
-  node_ies_light.osl
-  node_image_texture.osl
-  node_invert.osl
-  node_layer_weight.osl
-  node_light_falloff.osl
-  node_light_path.osl
-  node_magic_texture.osl
-  node_map_range.osl
-  node_mapping.osl
-  node_math.osl
-  node_mix.osl
-  node_mix_closure.osl
-  node_musgrave_texture.osl
-  node_noise_texture.osl
-  node_normal.osl
-  node_normal_map.osl
-  node_object_info.osl
-  node_output_displacement.osl
-  node_output_surface.osl
-  node_output_volume.osl
-  node_particle_info.osl
-  node_refraction_bsdf.osl
-  node_rgb_curves.osl
-  node_rgb_ramp.osl
-  node_separate_rgb.osl
-  node_separate_hsv.osl
-  node_separate_xyz.osl
-  node_set_normal.osl
-  node_sky_texture.osl
-  node_subsurface_scattering.osl
-  node_tangent.osl
-  node_texture_coordinate.osl
-  node_toon_bsdf.osl
-  node_translucent_bsdf.osl
-  node_transparent_bsdf.osl
-  node_value.osl
-  node_vector_curves.osl
-  node_vector_math.osl
-  node_vector_rotate.osl
-  node_vector_transform.osl
-  node_velvet_bsdf.osl
-  node_vertex_color.osl
-  node_voronoi_texture.osl
-  node_voxel_texture.osl
-  node_wavelength.osl
-  node_blackbody.osl
-  node_wave_texture.osl
-  node_white_noise_texture.osl
-  node_wireframe.osl
-  node_hair_bsdf.osl
-  node_principled_hair_bsdf.osl
-  node_uv_map.osl
-  node_principled_bsdf.osl
-  node_rgb_to_bw.osl
-)
-
-# The headers that OSL ships differs per release so we can not
-# hardcode this.
-file(GLOB SRC_OSL_HEADER_DIST ${OSL_SHADER_DIR}/*.h)
-
-set(SRC_OSL_HEADERS
-  node_color.h
-  node_fresnel.h
-  node_hash.h
-  node_math.h
-  node_noise.h
-  node_ramp_util.h
-  stdcycles.h
-  ${SRC_OSL_HEADER_DIST}
-)
-
-set(SRC_OSO
-
-)
-
-# TODO, add a module to compile OSL
-foreach(_file ${SRC_OSL})
-  set(_OSL_FILE ${CMAKE_CURRENT_SOURCE_DIR}/${_file})
-  set_source_files_properties(${_file} PROPERTIES HEADER_FILE_ONLY TRUE)
-  string(REPLACE ".osl" ".oso" _OSO_FILE ${_OSL_FILE})
-  string(REPLACE ${CMAKE_SOURCE_DIR} ${CMAKE_BINARY_DIR} _OSO_FILE ${_OSO_FILE})
-  add_custom_command(
-    OUTPUT ${_OSO_FILE}
-    COMMAND ${OSL_COMPILER} -q -O2  -I"${CMAKE_CURRENT_SOURCE_DIR}" -I"${OSL_SHADER_DIR}" -o ${_OSO_FILE} ${_OSL_FILE}
-    DEPENDS ${_OSL_FILE} ${SRC_OSL_HEADERS} ${OSL_COMPILER})
-  list(APPEND SRC_OSO
-    ${_OSO_FILE}
-  )
-
-  unset(_OSL_FILE)
-  unset(_OSO_FILE)
-endforeach()
-
-add_custom_target(cycles_osl_shaders ALL DEPENDS ${SRC_OSO} ${SRC_OSL_HEADERS} ${OSL_COMPILER} SOURCES ${SRC_OSL})
-cycles_set_solution_folder(cycles_osl_shaders)
-
-# CMAKE_CURRENT_SOURCE_DIR is already included in OSO paths
-delayed_install("" "${SRC_OSO}" ${CYCLES_INSTALL_PATH}/shader)
-delayed_install("${CMAKE_CURRENT_SOURCE_DIR}" "${SRC_OSL_HEADERS}" ${CYCLES_INSTALL_PATH}/shader)
diff --git a/intern/cycles/kernel/shaders/node_absorption_volume.osl b/intern/cycles/kernel/shaders/node_absorption_volume.osl
deleted file mode 100644
index 37ccc4c969f..00000000000
--- a/intern/cycles/kernel/shaders/node_absorption_volume.osl
+++ /dev/null
@@ -1,24 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_absorption_volume(color Color = color(0.8, 0.8, 0.8),
-                              float Density = 1.0,
-                              output closure color Volume = 0)
-{
-  Volume = ((color(1.0, 1.0, 1.0) - Color) * max(Density, 0.0)) * absorption();
-}
diff --git a/intern/cycles/kernel/shaders/node_add_closure.osl b/intern/cycles/kernel/shaders/node_add_closure.osl
deleted file mode 100644
index 27ecc9ef0c2..00000000000
--- a/intern/cycles/kernel/shaders/node_add_closure.osl
+++ /dev/null
@@ -1,24 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_add_closure(closure color Closure1 = 0,
-                        closure color Closure2 = 0,
-                        output closure color Closure = 0)
-{
-  Closure = Closure1 + Closure2;
-}
diff --git a/intern/cycles/kernel/shaders/node_ambient_occlusion.osl b/intern/cycles/kernel/shaders/node_ambient_occlusion.osl
deleted file mode 100644
index 22d245d0698..00000000000
--- a/intern/cycles/kernel/shaders/node_ambient_occlusion.osl
+++ /dev/null
@@ -1,43 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_ambient_occlusion(color ColorIn = color(1.0, 1.0, 1.0),
-                              int samples = 16,
-                              float Distance = 1.0,
-                              normal Normal = N,
-                              int inside = 0,
-                              int only_local = 0,
-                              output color ColorOut = color(1.0, 1.0, 1.0),
-                              output float AO = 1.0)
-{
-  int global_radius = (Distance == 0.0 && !isconnected(Distance));
-
-  /* Abuse texture call with special @ao token. */
-  AO = texture("@ao",
-               samples,
-               Distance,
-               Normal[0],
-               Normal[1],
-               Normal[2],
-               inside,
-               "sblur",
-               only_local,
-               "tblur",
-               global_radius);
-  ColorOut = ColorIn * AO;
-}
diff --git a/intern/cycles/kernel/shaders/node_anisotropic_bsdf.osl b/intern/cycles/kernel/shaders/node_anisotropic_bsdf.osl
deleted file mode 100644
index 739cd375ab2..00000000000
--- a/intern/cycles/kernel/shaders/node_anisotropic_bsdf.osl
+++ /dev/null
@@ -1,57 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-#include "stdcycles.h"
-
-shader node_anisotropic_bsdf(color Color = 0.0,
-                             string distribution = "GGX",
-                             float Roughness = 0.0,
-                             float Anisotropy = 0.0,
-                             float Rotation = 0.0,
-                             normal Normal = N,
-                             normal Tangent = normalize(dPdu),
-                             output closure color BSDF = 0)
-{
-  /* rotate tangent around normal */
-  vector T = Tangent;
-
-  if (Rotation != 0.0)
-    T = rotate(T, Rotation * M_2PI, point(0.0, 0.0, 0.0), Normal);
-
-  /* compute roughness */
-  float roughness = Roughness * Roughness;
-  float roughness_u, roughness_v;
-  float aniso = clamp(Anisotropy, -0.99, 0.99);
-
-  if (aniso < 0.0) {
-    roughness_u = roughness / (1.0 + aniso);
-    roughness_v = roughness * (1.0 + aniso);
-  }
-  else {
-    roughness_u = roughness * (1.0 - aniso);
-    roughness_v = roughness / (1.0 - aniso);
-  }
-
-  if (distribution == "sharp")
-    BSDF = Color * reflection(Normal);
-  else if (distribution == "beckmann")
-    BSDF = Color * microfacet_beckmann_aniso(Normal, T, roughness_u, roughness_v);
-  else if (distribution == "GGX")
-    BSDF = Color * microfacet_ggx_aniso(Normal, T, roughness_u, roughness_v);
-  else if (distribution == "Multiscatter GGX")
-    BSDF = Color * microfacet_multi_ggx_aniso(Normal, T, roughness_u, roughness_v, Color);
-  else
-    BSDF = Color * ashikhmin_shirley(Normal, T, roughness_u, roughness_v);
-}
diff --git a/intern/cycles/kernel/shaders/node_attribute.osl b/intern/cycles/kernel/shaders/node_attribute.osl
deleted file mode 100644
index b7f35956ec7..00000000000
--- a/intern/cycles/kernel/shaders/node_attribute.osl
+++ /dev/null
@@ -1,45 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_attribute(string bump_offset = "center",
-                      string name = "",
-                      output point Vector = point(0.0, 0.0, 0.0),
-                      output color Color = 0.0,
-                      output float Fac = 0.0,
-                      output float Alpha = 0.0)
-{
-  float data[4] = {0.0, 0.0, 0.0, 0.0};
-  getattribute(name, data);
-  Color = color(data[0], data[1], data[2]);
-  Vector = point(Color);
-  getattribute(name, Fac);
-  Alpha = data[3];
-
-  if (bump_offset == "dx") {
-    Color += Dx(Color);
-    Vector += Dx(Vector);
-    Fac += Dx(Fac);
-    Alpha += Dx(Alpha);
-  }
-  else if (bump_offset == "dy") {
-    Color += Dy(Color);
-    Vector += Dy(Vector);
-    Fac += Dy(Fac);
-    Alpha += Dy(Alpha);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_background.osl b/intern/cycles/kernel/shaders/node_background.osl
deleted file mode 100644
index 3f45db751b3..00000000000
--- a/intern/cycles/kernel/shaders/node_background.osl
+++ /dev/null
@@ -1,24 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_background(color Color = 0.8,
-                       float Strength = 1.0,
-                       output closure color Background = 0)
-{
-  Background = Color * Strength * background();
-}
diff --git a/intern/cycles/kernel/shaders/node_bevel.osl b/intern/cycles/kernel/shaders/node_bevel.osl
deleted file mode 100644
index e87ddab716d..00000000000
--- a/intern/cycles/kernel/shaders/node_bevel.osl
+++ /dev/null
@@ -1,29 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_bevel(int samples = 4,
-                  float Radius = 0.05,
-                  normal NormalIn = N,
-                  output normal NormalOut = N)
-{
-  /* Abuse texture call with special @bevel token. */
-  vector bevel_N = (normal)(color)texture("@bevel", samples, Radius);
-
-  /* Preserve input normal. */
-  NormalOut = normalize(NormalIn + (bevel_N - N));
-}
diff --git a/intern/cycles/kernel/shaders/node_blackbody.osl b/intern/cycles/kernel/shaders/node_blackbody.osl
deleted file mode 100644
index 741efae755d..00000000000
--- a/intern/cycles/kernel/shaders/node_blackbody.osl
+++ /dev/null
@@ -1,28 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_blackbody(float Temperature = 1200.0, output color Color = 0.0)
-{
-  color rgb = blackbody(Temperature);
-
-  /* Scale by luminance */
-  float l = luminance(rgb);
-  if (l != 0.0)
-    rgb /= l;
-  Color = rgb;
-}
diff --git a/intern/cycles/kernel/shaders/node_brick_texture.osl b/intern/cycles/kernel/shaders/node_brick_texture.osl
deleted file mode 100644
index 075a324c730..00000000000
--- a/intern/cycles/kernel/shaders/node_brick_texture.osl
+++ /dev/null
@@ -1,119 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-/* Brick */
-
-float brick_noise(int ns) /* fast integer noise */
-{
-  int nn;
-  int n = (ns + 1013) & 2147483647;
-  n = (n >> 13) ^ n;
-  nn = (n * (n * n * 60493 + 19990303) + 1376312589) & 2147483647;
-  return 0.5 * ((float)nn / 1073741824.0);
-}
-
-float brick(point p,
-            float mortar_size,
-            float mortar_smooth,
-            float bias,
-            float BrickWidth,
-            float row_height,
-            float offset_amount,
-            int offset_frequency,
-            float squash_amount,
-            int squash_frequency,
-            output float tint)
-{
-  int bricknum, rownum;
-  float offset = 0.0;
-  float brick_width = BrickWidth;
-  float x, y;
-
-  rownum = (int)floor(p[1] / row_height);
-
-  if (offset_frequency && squash_frequency) {
-    brick_width *= (rownum % squash_frequency) ? 1.0 : squash_amount;           /* squash */
-    offset = (rownum % offset_frequency) ? 0.0 : (brick_width * offset_amount); /* offset */
-  }
-
-  bricknum = (int)floor((p[0] + offset) / brick_width);
-
-  x = (p[0] + offset) - brick_width * bricknum;
-  y = p[1] - row_height * rownum;
-
-  tint = clamp((brick_noise((rownum << 16) + (bricknum & 65535)) + bias), 0.0, 1.0);
-
-  float min_dist = min(min(x, y), min(brick_width - x, row_height - y));
-  if (min_dist >= mortar_size) {
-    return 0.0;
-  }
-  else if (mortar_smooth == 0.0) {
-    return 1.0;
-  }
-  else {
-    min_dist = 1.0 - min_dist / mortar_size;
-    return smoothstep(0.0, mortar_smooth, min_dist);
-  }
-}
-
-shader node_brick_texture(int use_mapping = 0,
-                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-                          float offset = 0.5,
-                          int offset_frequency = 2,
-                          float squash = 1.0,
-                          int squash_frequency = 1,
-                          point Vector = P,
-                          color Color1 = 0.2,
-                          color Color2 = 0.8,
-                          color Mortar = 0.0,
-                          float Scale = 5.0,
-                          float MortarSize = 0.02,
-                          float MortarSmooth = 0.0,
-                          float Bias = 0.0,
-                          float BrickWidth = 0.5,
-                          float RowHeight = 0.25,
-                          output float Fac = 0.0,
-                          output color Color = 0.2)
-{
-  point p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  float tint = 0.0;
-  color Col = Color1;
-
-  Fac = brick(p * Scale,
-              MortarSize,
-              MortarSmooth,
-              Bias,
-              BrickWidth,
-              RowHeight,
-              offset,
-              offset_frequency,
-              squash,
-              squash_frequency,
-              tint);
-
-  if (Fac != 1.0) {
-    float facm = 1.0 - tint;
-    Col = facm * Color1 + tint * Color2;
-  }
-
-  Color = mix(Col, Mortar, Fac);
-}
diff --git a/intern/cycles/kernel/shaders/node_brightness.osl b/intern/cycles/kernel/shaders/node_brightness.osl
deleted file mode 100644
index 019edfb79a3..00000000000
--- a/intern/cycles/kernel/shaders/node_brightness.osl
+++ /dev/null
@@ -1,30 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_brightness(color ColorIn = 0.8,
-                       float Bright = 0.0,
-                       float Contrast = 0.0,
-                       output color ColorOut = 0.8)
-{
-  float a = 1.0 + Contrast;
-  float b = Bright - Contrast * 0.5;
-
-  ColorOut[0] = max(a * ColorIn[0] + b, 0.0);
-  ColorOut[1] = max(a * ColorIn[1] + b, 0.0);
-  ColorOut[2] = max(a * ColorIn[2] + b, 0.0);
-}
diff --git a/intern/cycles/kernel/shaders/node_bump.osl b/intern/cycles/kernel/shaders/node_bump.osl
deleted file mode 100644
index 811182f40b5..00000000000
--- a/intern/cycles/kernel/shaders/node_bump.osl
+++ /dev/null
@@ -1,68 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-/* "Bump Mapping Unparameterized Surfaces on the GPU"
- * Morten S. Mikkelsen, 2010 */
-
-surface node_bump(int invert = 0,
-                  int use_object_space = 0,
-                  normal NormalIn = N,
-                  float Strength = 0.1,
-                  float Distance = 1.0,
-                  float SampleCenter = 0.0,
-                  float SampleX = 0.0,
-                  float SampleY = 0.0,
-                  output normal NormalOut = N)
-{
-  point Ptmp = P;
-  normal Normal = NormalIn;
-
-  if (use_object_space) {
-    Ptmp = transform("object", Ptmp);
-    Normal = normalize(transform("object", Normal));
-  }
-
-  /* get surface tangents from normal */
-  vector dPdx = Dx(Ptmp);
-  vector dPdy = Dy(Ptmp);
-
-  vector Rx = cross(dPdy, Normal);
-  vector Ry = cross(Normal, dPdx);
-
-  /* compute surface gradient and determinant */
-  float det = dot(dPdx, Rx);
-  vector surfgrad = (SampleX - SampleCenter) * Rx + (SampleY - SampleCenter) * Ry;
-
-  float absdet = fabs(det);
-
-  float strength = max(Strength, 0.0);
-  float dist = Distance;
-
-  if (invert)
-    dist *= -1.0;
-
-  /* compute and output perturbed normal */
-  NormalOut = normalize(absdet * Normal - dist * sign(det) * surfgrad);
-  NormalOut = normalize(strength * NormalOut + (1.0 - strength) * Normal);
-
-  if (use_object_space) {
-    NormalOut = normalize(transform("object", "world", NormalOut));
-  }
-
-  NormalOut = ensure_valid_reflection(Ng, I, NormalOut);
-}
diff --git a/intern/cycles/kernel/shaders/node_camera.osl b/intern/cycles/kernel/shaders/node_camera.osl
deleted file mode 100644
index 45ca50c6e1e..00000000000
--- a/intern/cycles/kernel/shaders/node_camera.osl
+++ /dev/null
@@ -1,29 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_camera(output vector ViewVector = vector(0.0, 0.0, 0.0),
-                   output float ViewZDepth = 0.0,
-                   output float ViewDistance = 0.0)
-{
-  ViewVector = (vector)transform("world", "camera", P);
-
-  ViewZDepth = fabs(ViewVector[2]);
-  ViewDistance = length(ViewVector);
-
-  ViewVector = normalize(ViewVector);
-}
diff --git a/intern/cycles/kernel/shaders/node_checker_texture.osl b/intern/cycles/kernel/shaders/node_checker_texture.osl
deleted file mode 100644
index d6a30dbdb40..00000000000
--- a/intern/cycles/kernel/shaders/node_checker_texture.osl
+++ /dev/null
@@ -1,62 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-/* Checker */
-
-float checker(point ip)
-{
-  point p;
-  p[0] = (ip[0] + 0.000001) * 0.999999;
-  p[1] = (ip[1] + 0.000001) * 0.999999;
-  p[2] = (ip[2] + 0.000001) * 0.999999;
-
-  int xi = (int)fabs(floor(p[0]));
-  int yi = (int)fabs(floor(p[1]));
-  int zi = (int)fabs(floor(p[2]));
-
-  if ((xi % 2 == yi % 2) == (zi % 2)) {
-    return 1.0;
-  }
-  else {
-    return 0.0;
-  }
-}
-
-shader node_checker_texture(
-    int use_mapping = 0,
-    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-    float Scale = 5.0,
-    point Vector = P,
-    color Color1 = 0.8,
-    color Color2 = 0.2,
-    output float Fac = 0.0,
-    output color Color = 0.0)
-{
-  point p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  Fac = checker(p * Scale);
-  if (Fac == 1.0) {
-    Color = Color1;
-  }
-  else {
-    Color = Color2;
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_clamp.osl b/intern/cycles/kernel/shaders/node_clamp.osl
deleted file mode 100644
index b600fb7c455..00000000000
--- a/intern/cycles/kernel/shaders/node_clamp.osl
+++ /dev/null
@@ -1,27 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_clamp(string clamp_type = "minmax",
-                  float Value = 1.0,
-                  float Min = 0.0,
-                  float Max = 1.0,
-                  output float Result = 0.0)
-{
-  Result = (clamp_type == "range" && (Min > Max)) ? clamp(Value, Max, Min) :
-                                                    clamp(Value, Min, Max);
-}
diff --git a/intern/cycles/kernel/shaders/node_color.h b/intern/cycles/kernel/shaders/node_color.h
deleted file mode 100644
index 276c91843e8..00000000000
--- a/intern/cycles/kernel/shaders/node_color.h
+++ /dev/null
@@ -1,163 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-/* TODO(lukas): Fix colors in OSL. */
-
-float color_srgb_to_scene_linear(float c)
-{
-  if (c < 0.04045)
-    return (c < 0.0) ? 0.0 : c * (1.0 / 12.92);
-  else
-    return pow((c + 0.055) * (1.0 / 1.055), 2.4);
-}
-
-float color_scene_linear_to_srgb(float c)
-{
-  if (c < 0.0031308)
-    return (c < 0.0) ? 0.0 : c * 12.92;
-  else
-    return 1.055 * pow(c, 1.0 / 2.4) - 0.055;
-}
-
-color color_srgb_to_scene_linear(color c)
-{
-  return color(color_srgb_to_scene_linear(c[0]),
-               color_srgb_to_scene_linear(c[1]),
-               color_srgb_to_scene_linear(c[2]));
-}
-
-color color_scene_linear_to_srgb(color c)
-{
-  return color(color_scene_linear_to_srgb(c[0]),
-               color_scene_linear_to_srgb(c[1]),
-               color_scene_linear_to_srgb(c[2]));
-}
-
-color color_unpremultiply(color c, float alpha)
-{
-  if (alpha != 1.0 && alpha != 0.0)
-    return c / alpha;
-
-  return c;
-}
-
-/* Color Operations */
-
-color xyY_to_xyz(float x, float y, float Y)
-{
-  float X, Z;
-
-  if (y != 0.0)
-    X = (x / y) * Y;
-  else
-    X = 0.0;
-
-  if (y != 0.0 && Y != 0.0)
-    Z = ((1.0 - x - y) / y) * Y;
-  else
-    Z = 0.0;
-
-  return color(X, Y, Z);
-}
-
-color xyz_to_rgb(float x, float y, float z)
-{
-  return color(3.240479 * x + -1.537150 * y + -0.498535 * z,
-               -0.969256 * x + 1.875991 * y + 0.041556 * z,
-               0.055648 * x + -0.204043 * y + 1.057311 * z);
-}
-
-color rgb_to_hsv(color rgb)
-{
-  float cmax, cmin, h, s, v, cdelta;
-  color c;
-
-  cmax = max(rgb[0], max(rgb[1], rgb[2]));
-  cmin = min(rgb[0], min(rgb[1], rgb[2]));
-  cdelta = cmax - cmin;
-
-  v = cmax;
-
-  if (cmax != 0.0) {
-    s = cdelta / cmax;
-  }
-  else {
-    s = 0.0;
-    h = 0.0;
-  }
-
-  if (s == 0.0) {
-    h = 0.0;
-  }
-  else {
-    c = (color(cmax, cmax, cmax) - rgb) / cdelta;
-
-    if (rgb[0] == cmax)
-      h = c[2] - c[1];
-    else if (rgb[1] == cmax)
-      h = 2.0 + c[0] - c[2];
-    else
-      h = 4.0 + c[1] - c[0];
-
-    h /= 6.0;
-
-    if (h < 0.0)
-      h += 1.0;
-  }
-
-  return color(h, s, v);
-}
-
-color hsv_to_rgb(color hsv)
-{
-  float i, f, p, q, t, h, s, v;
-  color rgb;
-
-  h = hsv[0];
-  s = hsv[1];
-  v = hsv[2];
-
-  if (s == 0.0) {
-    rgb = color(v, v, v);
-  }
-  else {
-    if (h == 1.0)
-      h = 0.0;
-
-    h *= 6.0;
-    i = floor(h);
-    f = h - i;
-    rgb = color(f, f, f);
-    p = v * (1.0 - s);
-    q = v * (1.0 - (s * f));
-    t = v * (1.0 - (s * (1.0 - f)));
-
-    if (i == 0.0)
-      rgb = color(v, t, p);
-    else if (i == 1.0)
-      rgb = color(q, v, p);
-    else if (i == 2.0)
-      rgb = color(p, v, t);
-    else if (i == 3.0)
-      rgb = color(p, q, v);
-    else if (i == 4.0)
-      rgb = color(t, p, v);
-    else
-      rgb = color(v, p, q);
-  }
-
-  return rgb;
-}
diff --git a/intern/cycles/kernel/shaders/node_combine_hsv.osl b/intern/cycles/kernel/shaders/node_combine_hsv.osl
deleted file mode 100644
index 05e502b5bc1..00000000000
--- a/intern/cycles/kernel/shaders/node_combine_hsv.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_combine_hsv(float H = 0.0, float S = 0.0, float V = 0.0, output color Color = 0.8)
-{
-  Color = color("hsv", H, S, V);
-}
diff --git a/intern/cycles/kernel/shaders/node_combine_rgb.osl b/intern/cycles/kernel/shaders/node_combine_rgb.osl
deleted file mode 100644
index 036f371eb5c..00000000000
--- a/intern/cycles/kernel/shaders/node_combine_rgb.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_combine_rgb(float R = 0.0, float G = 0.0, float B = 0.0, output color Image = 0.8)
-{
-  Image = color(R, G, B);
-}
diff --git a/intern/cycles/kernel/shaders/node_combine_xyz.osl b/intern/cycles/kernel/shaders/node_combine_xyz.osl
deleted file mode 100644
index 4ebd86b605c..00000000000
--- a/intern/cycles/kernel/shaders/node_combine_xyz.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2014 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_combine_xyz(float X = 0.0, float Y = 0.0, float Z = 0.0, output vector Vector = 0.8)
-{
-  Vector = vector(X, Y, Z);
-}
diff --git a/intern/cycles/kernel/shaders/node_convert_from_color.osl b/intern/cycles/kernel/shaders/node_convert_from_color.osl
deleted file mode 100644
index c3f0e118844..00000000000
--- a/intern/cycles/kernel/shaders/node_convert_from_color.osl
+++ /dev/null
@@ -1,32 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_convert_from_color(color value_color = 0.0,
-                               output string value_string = "",
-                               output float value_float = 0.0,
-                               output int value_int = 0,
-                               output vector value_vector = vector(0.0, 0.0, 0.0),
-                               output point value_point = point(0.0, 0.0, 0.0),
-                               output normal value_normal = normal(0.0, 0.0, 0.0))
-{
-  value_float = value_color[0] * 0.2126 + value_color[1] * 0.7152 + value_color[2] * 0.0722;
-  value_int = (int)(value_color[0] * 0.2126 + value_color[1] * 0.7152 + value_color[2] * 0.0722);
-  value_vector = vector(value_color[0], value_color[1], value_color[2]);
-  value_point = point(value_color[0], value_color[1], value_color[2]);
-  value_normal = normal(value_color[0], value_color[1], value_color[2]);
-}
diff --git a/intern/cycles/kernel/shaders/node_convert_from_float.osl b/intern/cycles/kernel/shaders/node_convert_from_float.osl
deleted file mode 100644
index 61a15a1c2b0..00000000000
--- a/intern/cycles/kernel/shaders/node_convert_from_float.osl
+++ /dev/null
@@ -1,32 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_convert_from_float(float value_float = 0.0,
-                               output string value_string = "",
-                               output int value_int = 0,
-                               output color value_color = 0.0,
-                               output vector value_vector = vector(0.0, 0.0, 0.0),
-                               output point value_point = point(0.0, 0.0, 0.0),
-                               output normal value_normal = normal(0.0, 0.0, 0.0))
-{
-  value_int = (int)value_float;
-  value_color = color(value_float, value_float, value_float);
-  value_vector = vector(value_float, value_float, value_float);
-  value_point = point(value_float, value_float, value_float);
-  value_normal = normal(value_float, value_float, value_float);
-}
diff --git a/intern/cycles/kernel/shaders/node_convert_from_int.osl b/intern/cycles/kernel/shaders/node_convert_from_int.osl
deleted file mode 100644
index 2e6a99b2765..00000000000
--- a/intern/cycles/kernel/shaders/node_convert_from_int.osl
+++ /dev/null
@@ -1,33 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_convert_from_int(int value_int = 0,
-                             output string value_string = "",
-                             output float value_float = 0.0,
-                             output color value_color = 0.0,
-                             output vector value_vector = vector(0.0, 0.0, 0.0),
-                             output point value_point = point(0.0, 0.0, 0.0),
-                             output normal value_normal = normal(0.0, 0.0, 0.0))
-{
-  float f = (float)value_int;
-  value_float = f;
-  value_color = color(f, f, f);
-  value_vector = vector(f, f, f);
-  value_point = point(f, f, f);
-  value_normal = normal(f, f, f);
-}
diff --git a/intern/cycles/kernel/shaders/node_convert_from_normal.osl b/intern/cycles/kernel/shaders/node_convert_from_normal.osl
deleted file mode 100644
index 64201d63190..00000000000
--- a/intern/cycles/kernel/shaders/node_convert_from_normal.osl
+++ /dev/null
@@ -1,32 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_convert_from_normal(normal value_normal = normal(0.0, 0.0, 0.0),
-                                output string value_string = "",
-                                output float value_float = 0.0,
-                                output int value_int = 0,
-                                output vector value_vector = vector(0.0, 0.0, 0.0),
-                                output color value_color = 0.0,
-                                output point value_point = point(0.0, 0.0, 0.0))
-{
-  value_float = (value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0);
-  value_int = (int)((value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0));
-  value_vector = vector(value_normal[0], value_normal[1], value_normal[2]);
-  value_color = color(value_normal[0], value_normal[1], value_normal[2]);
-  value_point = point(value_normal[0], value_normal[1], value_normal[2]);
-}
diff --git a/intern/cycles/kernel/shaders/node_convert_from_point.osl b/intern/cycles/kernel/shaders/node_convert_from_point.osl
deleted file mode 100644
index 11d64f76d6f..00000000000
--- a/intern/cycles/kernel/shaders/node_convert_from_point.osl
+++ /dev/null
@@ -1,32 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_convert_from_point(point value_point = point(0.0, 0.0, 0.0),
-                               output string value_string = "",
-                               output float value_float = 0.0,
-                               output int value_int = 0,
-                               output vector value_vector = vector(0.0, 0.0, 0.0),
-                               output color value_color = 0.0,
-                               output normal value_normal = normal(0.0, 0.0, 0.0))
-{
-  value_float = (value_point[0] + value_point[1] + value_point[2]) * (1.0 / 3.0);
-  value_int = (int)((value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0));
-  value_vector = vector(value_point[0], value_point[1], value_point[2]);
-  value_color = color(value_point[0], value_point[1], value_point[2]);
-  value_normal = normal(value_point[0], value_point[1], value_point[2]);
-}
diff --git a/intern/cycles/kernel/shaders/node_convert_from_string.osl b/intern/cycles/kernel/shaders/node_convert_from_string.osl
deleted file mode 100644
index b496c4e6d05..00000000000
--- a/intern/cycles/kernel/shaders/node_convert_from_string.osl
+++ /dev/null
@@ -1,27 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_convert_from_string(string value_string = "",
-                                output color value_color = color(0.0, 0.0, 0.0),
-                                output float value_float = 0.0,
-                                output int value_int = 0,
-                                output vector value_vector = vector(0.0, 0.0, 0.0),
-                                output point value_point = point(0.0, 0.0, 0.0),
-                                output normal value_normal = normal(0.0, 0.0, 0.0))
-{
-}
diff --git a/intern/cycles/kernel/shaders/node_convert_from_vector.osl b/intern/cycles/kernel/shaders/node_convert_from_vector.osl
deleted file mode 100644
index 820faabd32b..00000000000
--- a/intern/cycles/kernel/shaders/node_convert_from_vector.osl
+++ /dev/null
@@ -1,32 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_convert_from_vector(vector value_vector = vector(0.0, 0.0, 0.0),
-                                output string value_string = "",
-                                output float value_float = 0.0,
-                                output int value_int = 0,
-                                output color value_color = color(0.0, 0.0, 0.0),
-                                output point value_point = point(0.0, 0.0, 0.0),
-                                output normal value_normal = normal(0.0, 0.0, 0.0))
-{
-  value_float = (value_vector[0] + value_vector[1] + value_vector[2]) * (1.0 / 3.0);
-  value_int = (int)((value_normal[0] + value_normal[1] + value_normal[2]) * (1.0 / 3.0));
-  value_color = color(value_vector[0], value_vector[1], value_vector[2]);
-  value_point = point(value_vector[0], value_vector[1], value_vector[2]);
-  value_normal = normal(value_vector[0], value_vector[1], value_vector[2]);
-}
diff --git a/intern/cycles/kernel/shaders/node_diffuse_bsdf.osl b/intern/cycles/kernel/shaders/node_diffuse_bsdf.osl
deleted file mode 100644
index f5886f534eb..00000000000
--- a/intern/cycles/kernel/shaders/node_diffuse_bsdf.osl
+++ /dev/null
@@ -1,28 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_diffuse_bsdf(color Color = 0.8,
-                         float Roughness = 0.0,
-                         normal Normal = N,
-                         output closure color BSDF = 0)
-{
-  if (Roughness == 0.0)
-    BSDF = Color * diffuse(Normal);
-  else
-    BSDF = Color * oren_nayar(Normal, Roughness);
-}
diff --git a/intern/cycles/kernel/shaders/node_displacement.osl b/intern/cycles/kernel/shaders/node_displacement.osl
deleted file mode 100644
index 44a4828d511..00000000000
--- a/intern/cycles/kernel/shaders/node_displacement.osl
+++ /dev/null
@@ -1,36 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_displacement(string space = "object",
-                         float Height = 0.0,
-                         float Midlevel = 0.5,
-                         float Scale = 1.0,
-                         normal Normal = N,
-                         output vector Displacement = vector(0.0, 0.0, 0.0))
-{
-  Displacement = Normal;
-  if (space == "object") {
-    Displacement = transform("object", Displacement);
-  }
-
-  Displacement = normalize(Displacement) * (Height - Midlevel) * Scale;
-
-  if (space == "object") {
-    Displacement = transform("object", "world", Displacement);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_emission.osl b/intern/cycles/kernel/shaders/node_emission.osl
deleted file mode 100644
index f289a9711d9..00000000000
--- a/intern/cycles/kernel/shaders/node_emission.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_emission(color Color = 0.8, float Strength = 1.0, output closure color Emission = 0)
-{
-  Emission = (Strength * Color) * emission();
-}
diff --git a/intern/cycles/kernel/shaders/node_environment_texture.osl b/intern/cycles/kernel/shaders/node_environment_texture.osl
deleted file mode 100644
index d04743eb368..00000000000
--- a/intern/cycles/kernel/shaders/node_environment_texture.osl
+++ /dev/null
@@ -1,85 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_color.h"
-#include "stdcycles.h"
-
-vector environment_texture_direction_to_equirectangular(vector dir)
-{
-  float u = -atan2(dir[1], dir[0]) / (M_2PI) + 0.5;
-  float v = atan2(dir[2], hypot(dir[0], dir[1])) / M_PI + 0.5;
-
-  return vector(u, v, 0.0);
-}
-
-vector environment_texture_direction_to_mirrorball(vector idir)
-{
-  vector dir = idir;
-  dir[1] -= 1.0;
-
-  float div = 2.0 * sqrt(max(-0.5 * dir[1], 0.0));
-  if (div > 0.0)
-    dir /= div;
-
-  float u = 0.5 * (dir[0] + 1.0);
-  float v = 0.5 * (dir[2] + 1.0);
-
-  return vector(u, v, 0.0);
-}
-
-shader node_environment_texture(
-    int use_mapping = 0,
-    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-    vector Vector = P,
-    string filename = "",
-    string projection = "equirectangular",
-    string interpolation = "linear",
-    int compress_as_srgb = 0,
-    int ignore_alpha = 0,
-    int unassociate_alpha = 0,
-    int is_float = 1,
-    output color Color = 0.0,
-    output float Alpha = 1.0)
-{
-  vector p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  p = normalize(p);
-
-  if (projection == "equirectangular")
-    p = environment_texture_direction_to_equirectangular(p);
-  else
-    p = environment_texture_direction_to_mirrorball(p);
-
-  /* todo: use environment for better texture filtering of equirectangular */
-  Color = (color)texture(
-      filename, p[0], 1.0 - p[1], "wrap", "periodic", "interp", interpolation, "alpha", Alpha);
-
-  if (ignore_alpha) {
-    Alpha = 1.0;
-  }
-  else if (unassociate_alpha) {
-    Color = color_unpremultiply(Color, Alpha);
-
-    if (!is_float)
-      Color = min(Color, 1.0);
-  }
-
-  if (compress_as_srgb)
-    Color = color_srgb_to_scene_linear(Color);
-}
diff --git a/intern/cycles/kernel/shaders/node_float_curve.osl b/intern/cycles/kernel/shaders/node_float_curve.osl
deleted file mode 100644
index f1f05fd88a9..00000000000
--- a/intern/cycles/kernel/shaders/node_float_curve.osl
+++ /dev/null
@@ -1,32 +0,0 @@
-/*
- * Copyright 2011-2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_ramp_util.h"
-#include "stdcycles.h"
-
-shader node_float_curve(float ramp[] = {0.0},
-                        float min_x = 0.0,
-                        float max_x = 1.0,
-                        float ValueIn = 0.0,
-                        float Factor = 0.0,
-                        output float ValueOut = 0.0)
-{
-  float c = (ValueIn - min_x) / (max_x - min_x);
-
-  ValueOut = rgb_ramp_lookup(ramp, c, 1, 1);
-
-  ValueOut = mix(ValueIn, ValueOut, Factor);
-}
diff --git a/intern/cycles/kernel/shaders/node_fresnel.h b/intern/cycles/kernel/shaders/node_fresnel.h
deleted file mode 100644
index ade1d4c6207..00000000000
--- a/intern/cycles/kernel/shaders/node_fresnel.h
+++ /dev/null
@@ -1,62 +0,0 @@
-/*
- * Adapted from Open Shading Language with this license:
- *
- * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
- * All Rights Reserved.
- *
- * Modifications Copyright 2011, Blender Foundation.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are
- * met:
- * * Redistributions of source code must retain the above copyright
- *   notice, this list of conditions and the following disclaimer.
- * * Redistributions in binary form must reproduce the above copyright
- *   notice, this list of conditions and the following disclaimer in the
- *   documentation and/or other materials provided with the distribution.
- * * Neither the name of Sony Pictures Imageworks nor the names of its
- *   contributors may be used to endorse or promote products derived from
- *   this software without specific prior written permission.
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
- * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
- * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
- * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
- * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
- * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-float fresnel_dielectric_cos(float cosi, float eta)
-{
-  /* compute fresnel reflectance without explicitly computing
-   * the refracted direction */
-  float c = fabs(cosi);
-  float g = eta * eta - 1 + c * c;
-  float result;
-
-  if (g > 0) {
-    g = sqrt(g);
-    float A = (g - c) / (g + c);
-    float B = (c * (g + c) - 1) / (c * (g - c) + 1);
-    result = 0.5 * A * A * (1 + B * B);
-  }
-  else
-    result = 1.0; /* TIR (no refracted component) */
-
-  return result;
-}
-
-color fresnel_conductor(float cosi, color eta, color k)
-{
-  color cosi2 = color(cosi * cosi);
-  color one = color(1, 1, 1);
-  color tmp_f = eta * eta + k * k;
-  color tmp = tmp_f * cosi2;
-  color Rparl2 = (tmp - (2.0 * eta * cosi) + one) / (tmp + (2.0 * eta * cosi) + one);
-  color Rperp2 = (tmp_f - (2.0 * eta * cosi) + cosi2) / (tmp_f + (2.0 * eta * cosi) + cosi2);
-  return (Rparl2 + Rperp2) * 0.5;
-}
diff --git a/intern/cycles/kernel/shaders/node_fresnel.osl b/intern/cycles/kernel/shaders/node_fresnel.osl
deleted file mode 100644
index cff084c344d..00000000000
--- a/intern/cycles/kernel/shaders/node_fresnel.osl
+++ /dev/null
@@ -1,26 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_fresnel.h"
-#include "stdcycles.h"
-
-shader node_fresnel(float IOR = 1.45, normal Normal = N, output float Fac = 0.0)
-{
-  float f = max(IOR, 1e-5);
-  float eta = backfacing() ? 1.0 / f : f;
-  float cosi = dot(I, Normal);
-  Fac = fresnel_dielectric_cos(cosi, eta);
-}
diff --git a/intern/cycles/kernel/shaders/node_gamma.osl b/intern/cycles/kernel/shaders/node_gamma.osl
deleted file mode 100644
index 0816df64fe8..00000000000
--- a/intern/cycles/kernel/shaders/node_gamma.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_gamma(color ColorIn = 0.8, float Gamma = 1.0, output color ColorOut = 0.0)
-{
-  ColorOut = pow(ColorIn, Gamma);
-}
diff --git a/intern/cycles/kernel/shaders/node_geometry.osl b/intern/cycles/kernel/shaders/node_geometry.osl
deleted file mode 100644
index 55cda71db1b..00000000000
--- a/intern/cycles/kernel/shaders/node_geometry.osl
+++ /dev/null
@@ -1,71 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_geometry(normal NormalIn = N,
-                     string bump_offset = "center",
-
-                     output point Position = point(0.0, 0.0, 0.0),
-                     output normal Normal = normal(0.0, 0.0, 0.0),
-                     output normal Tangent = normal(0.0, 0.0, 0.0),
-                     output normal TrueNormal = normal(0.0, 0.0, 0.0),
-                     output vector Incoming = vector(0.0, 0.0, 0.0),
-                     output point Parametric = point(0.0, 0.0, 0.0),
-                     output float Backfacing = 0.0,
-                     output float Pointiness = 0.0,
-                     output float RandomPerIsland = 0.0)
-{
-  Position = P;
-  Normal = NormalIn;
-  TrueNormal = Ng;
-  Incoming = I;
-  Parametric = point(u, v, 0.0);
-  Backfacing = backfacing();
-
-  if (bump_offset == "dx") {
-    Position += Dx(Position);
-    Parametric += Dx(Parametric);
-  }
-  else if (bump_offset == "dy") {
-    Position += Dy(Position);
-    Parametric += Dy(Parametric);
-  }
-
-  /* first try to get tangent attribute */
-  point generated;
-
-  /* try to create spherical tangent from generated coordinates */
-  if (getattribute("geom:generated", generated)) {
-    normal data = normal(-(generated[1] - 0.5), (generated[0] - 0.5), 0.0);
-    vector T = transform("object", "world", data);
-    Tangent = cross(Normal, normalize(cross(T, Normal)));
-  }
-  else {
-    /* otherwise use surface derivatives */
-    Tangent = normalize(dPdu);
-  }
-
-  getattribute("geom:pointiness", Pointiness);
-  if (bump_offset == "dx") {
-    Pointiness += Dx(Pointiness);
-  }
-  else if (bump_offset == "dy") {
-    Pointiness += Dy(Pointiness);
-  }
-
-  getattribute("geom:random_per_island", RandomPerIsland);
-}
diff --git a/intern/cycles/kernel/shaders/node_glass_bsdf.osl b/intern/cycles/kernel/shaders/node_glass_bsdf.osl
deleted file mode 100644
index 0042d573f8d..00000000000
--- a/intern/cycles/kernel/shaders/node_glass_bsdf.osl
+++ /dev/null
@@ -1,43 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_fresnel.h"
-#include "stdcycles.h"
-
-shader node_glass_bsdf(color Color = 0.8,
-                       string distribution = "sharp",
-                       float Roughness = 0.2,
-                       float IOR = 1.45,
-                       normal Normal = N,
-                       output closure color BSDF = 0)
-{
-  float f = max(IOR, 1e-5);
-  float eta = backfacing() ? 1.0 / f : f;
-  float cosi = dot(I, Normal);
-  float Fr = fresnel_dielectric_cos(cosi, eta);
-  float roughness = Roughness * Roughness;
-
-  if (distribution == "sharp")
-    BSDF = Color * (Fr * reflection(Normal) + (1.0 - Fr) * refraction(Normal, eta));
-  else if (distribution == "beckmann")
-    BSDF = Color * (Fr * microfacet_beckmann(Normal, roughness) +
-                    (1.0 - Fr) * microfacet_beckmann_refraction(Normal, roughness, eta));
-  else if (distribution == "Multiscatter GGX")
-    BSDF = Color * microfacet_multi_ggx_glass(Normal, roughness, eta, Color);
-  else if (distribution == "GGX")
-    BSDF = Color * (Fr * microfacet_ggx(Normal, roughness) +
-                    (1.0 - Fr) * microfacet_ggx_refraction(Normal, roughness, eta));
-}
diff --git a/intern/cycles/kernel/shaders/node_glossy_bsdf.osl b/intern/cycles/kernel/shaders/node_glossy_bsdf.osl
deleted file mode 100644
index c73604d3650..00000000000
--- a/intern/cycles/kernel/shaders/node_glossy_bsdf.osl
+++ /dev/null
@@ -1,38 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_fresnel.h"
-#include "stdcycles.h"
-
-shader node_glossy_bsdf(color Color = 0.8,
-                        string distribution = "GGX",
-                        float Roughness = 0.2,
-                        normal Normal = N,
-                        output closure color BSDF = 0)
-{
-  float roughness = Roughness * Roughness;
-
-  if (distribution == "sharp")
-    BSDF = Color * reflection(Normal);
-  else if (distribution == "beckmann")
-    BSDF = Color * microfacet_beckmann(Normal, roughness);
-  else if (distribution == "GGX")
-    BSDF = Color * microfacet_ggx(Normal, roughness);
-  else if (distribution == "Multiscatter GGX")
-    BSDF = Color * microfacet_multi_ggx(Normal, roughness, Color);
-  else
-    BSDF = Color * ashikhmin_shirley(Normal, vector(0, 0, 0), roughness, roughness);
-}
diff --git a/intern/cycles/kernel/shaders/node_gradient_texture.osl b/intern/cycles/kernel/shaders/node_gradient_texture.osl
deleted file mode 100644
index c7faee0d022..00000000000
--- a/intern/cycles/kernel/shaders/node_gradient_texture.osl
+++ /dev/null
@@ -1,77 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-/* Gradient */
-
-float gradient(point p, string type)
-{
-  float x, y, z;
-
-  x = p[0];
-  y = p[1];
-  z = p[2];
-
-  float result = 0.0;
-
-  if (type == "linear") {
-    result = x;
-  }
-  else if (type == "quadratic") {
-    float r = max(x, 0.0);
-    result = r * r;
-  }
-  else if (type == "easing") {
-    float r = min(max(x, 0.0), 1.0);
-    float t = r * r;
-
-    result = (3.0 * t - 2.0 * t * r);
-  }
-  else if (type == "diagonal") {
-    result = (x + y) * 0.5;
-  }
-  else if (type == "radial") {
-    result = atan2(y, x) / M_2PI + 0.5;
-  }
-  else {
-    float r = max(1.0 - sqrt(x * x + y * y + z * z), 0.0);
-
-    if (type == "quadratic_sphere")
-      result = r * r;
-    else if (type == "spherical")
-      result = r;
-  }
-
-  return clamp(result, 0.0, 1.0);
-}
-
-shader node_gradient_texture(
-    int use_mapping = 0,
-    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-    string gradient_type = "linear",
-    point Vector = P,
-    output float Fac = 0.0,
-    output color Color = 0.0)
-{
-  point p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  Fac = gradient(p, gradient_type);
-  Color = color(Fac, Fac, Fac);
-}
diff --git a/intern/cycles/kernel/shaders/node_hair_bsdf.osl b/intern/cycles/kernel/shaders/node_hair_bsdf.osl
deleted file mode 100644
index 3e0ac7af2e0..00000000000
--- a/intern/cycles/kernel/shaders/node_hair_bsdf.osl
+++ /dev/null
@@ -1,57 +0,0 @@
-/*
- * Copyright 2011, Blender Foundation.
- *
- * This program is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * as published by the Free Software Foundation; either version 2
- * of the License, or (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program; if not, write to the Free Software Foundation,
- * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
- */
-
-#include "stdcycles.h"
-
-shader node_hair_bsdf(color Color = 0.8,
-                      string component = "reflection",
-                      float Offset = 0.0,
-                      float RoughnessU = 0.1,
-                      float RoughnessV = 1.0,
-                      normal Tangent = normal(0, 0, 0),
-                      output closure color BSDF = 0)
-{
-  float roughnessh = clamp(RoughnessU, 0.001, 1.0);
-  float roughnessv = clamp(RoughnessV, 0.001, 1.0);
-  float offset = -Offset;
-
-  normal T;
-  float IsCurve = 0;
-  getattribute("geom:is_curve", IsCurve);
-
-  if (isconnected(Tangent)) {
-    T = Tangent;
-  }
-  else if (!IsCurve) {
-    T = normalize(dPdv);
-    offset = 0.0;
-  }
-  else {
-    T = normalize(dPdu);
-  }
-
-  if (backfacing() && IsCurve) {
-    BSDF = transparent();
-  }
-  else {
-    if (component == "reflection")
-      BSDF = Color * hair_reflection(Ng, roughnessh, roughnessv, T, offset);
-    else
-      BSDF = Color * hair_transmission(Ng, roughnessh, roughnessv, T, offset);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_hair_info.osl b/intern/cycles/kernel/shaders/node_hair_info.osl
deleted file mode 100644
index ddc2e28b83a..00000000000
--- a/intern/cycles/kernel/shaders/node_hair_info.osl
+++ /dev/null
@@ -1,32 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_hair_info(output float IsStrand = 0.0,
-                      output float Intercept = 0.0,
-                      output float Length = 0.0,
-                      output float Thickness = 0.0,
-                      output normal TangentNormal = N,
-                      output float Random = 0)
-{
-  getattribute("geom:is_curve", IsStrand);
-  getattribute("geom:curve_intercept", Intercept);
-  getattribute("geom:curve_length", Length);
-  getattribute("geom:curve_thickness", Thickness);
-  getattribute("geom:curve_tangent_normal", TangentNormal);
-  getattribute("geom:curve_random", Random);
-}
diff --git a/intern/cycles/kernel/shaders/node_hash.h b/intern/cycles/kernel/shaders/node_hash.h
deleted file mode 100644
index b42e42ff910..00000000000
--- a/intern/cycles/kernel/shaders/node_hash.h
+++ /dev/null
@@ -1,81 +0,0 @@
-#include "stdcycles.h"
-#include "vector2.h"
-#include "vector4.h"
-
-#define vector3 point
-
-/* **** Hash a float or vector[234] into a float [0, 1] **** */
-
-float hash_float_to_float(float k)
-{
-  return hashnoise(k);
-}
-
-float hash_vector2_to_float(vector2 k)
-{
-  return hashnoise(k.x, k.y);
-}
-
-float hash_vector3_to_float(vector3 k)
-{
-  return hashnoise(k);
-}
-
-float hash_vector4_to_float(vector4 k)
-{
-  return hashnoise(vector3(k.x, k.y, k.z), k.w);
-}
-
-/* **** Hash a vector[234] into a vector[234] [0, 1] **** */
-
-vector2 hash_vector2_to_vector2(vector2 k)
-{
-  return vector2(hash_vector2_to_float(k), hash_vector3_to_float(vector3(k.x, k.y, 1.0)));
-}
-
-vector3 hash_vector3_to_vector3(vector3 k)
-{
-  return vector3(hash_vector3_to_float(k),
-                 hash_vector4_to_float(vector4(k[0], k[1], k[2], 1.0)),
-                 hash_vector4_to_float(vector4(k[0], k[1], k[2], 2.0)));
-}
-
-vector4 hash_vector4_to_vector4(vector4 k)
-{
-  return vector4(hash_vector4_to_float(k),
-                 hash_vector4_to_float(vector4(k.w, k.x, k.y, k.z)),
-                 hash_vector4_to_float(vector4(k.z, k.w, k.x, k.y)),
-                 hash_vector4_to_float(vector4(k.y, k.z, k.w, k.x)));
-}
-
-/* **** Hash a float or a vec[234] into a color [0, 1] **** */
-
-color hash_float_to_color(float k)
-{
-  return color(hash_float_to_float(k),
-               hash_vector2_to_float(vector2(k, 1.0)),
-               hash_vector2_to_float(vector2(k, 2.0)));
-}
-
-color hash_vector2_to_color(vector2 k)
-{
-  return color(hash_vector2_to_float(k),
-               hash_vector3_to_float(vector3(k.x, k.y, 1.0)),
-               hash_vector3_to_float(vector3(k.x, k.y, 2.0)));
-}
-
-color hash_vector3_to_color(vector3 k)
-{
-  return color(hash_vector3_to_float(k),
-               hash_vector4_to_float(vector4(k[0], k[1], k[2], 1.0)),
-               hash_vector4_to_float(vector4(k[0], k[1], k[2], 2.0)));
-}
-
-color hash_vector4_to_color(vector4 k)
-{
-  return color(hash_vector4_to_float(k),
-               hash_vector4_to_float(vector4(k.z, k.x, k.w, k.y)),
-               hash_vector4_to_float(vector4(k.w, k.z, k.y, k.x)));
-}
-
-#undef vector3
diff --git a/intern/cycles/kernel/shaders/node_holdout.osl b/intern/cycles/kernel/shaders/node_holdout.osl
deleted file mode 100644
index 92e41c92f72..00000000000
--- a/intern/cycles/kernel/shaders/node_holdout.osl
+++ /dev/null
@@ -1,21 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_holdout(output closure color Holdout = holdout())
-{
-}
diff --git a/intern/cycles/kernel/shaders/node_hsv.osl b/intern/cycles/kernel/shaders/node_hsv.osl
deleted file mode 100644
index 4417057b10f..00000000000
--- a/intern/cycles/kernel/shaders/node_hsv.osl
+++ /dev/null
@@ -1,42 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_color.h"
-#include "stdcycles.h"
-
-shader node_hsv(float Hue = 0.5,
-                float Saturation = 1.0,
-                float Value = 1.0,
-                float Fac = 0.5,
-                color ColorIn = 0.0,
-                output color ColorOut = 0.0)
-{
-  color Color = rgb_to_hsv(ColorIn);
-
-  // remember: fmod doesn't work for negative numbers
-  Color[0] = fmod(Color[0] + Hue + 0.5, 1.0);
-  Color[1] = clamp(Color[1] * Saturation, 0.0, 1.0);
-  Color[2] *= Value;
-
-  Color = hsv_to_rgb(Color);
-
-  // Clamp color to prevent negative values cauzed by oversaturation.
-  Color[0] = max(Color[0], 0.0);
-  Color[1] = max(Color[1], 0.0);
-  Color[2] = max(Color[2], 0.0);
-
-  ColorOut = mix(ColorIn, Color, Fac);
-}
diff --git a/intern/cycles/kernel/shaders/node_ies_light.osl b/intern/cycles/kernel/shaders/node_ies_light.osl
deleted file mode 100644
index 76348b4d758..00000000000
--- a/intern/cycles/kernel/shaders/node_ies_light.osl
+++ /dev/null
@@ -1,40 +0,0 @@
-/*
- * Copyright 2011-2015 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-/* IES Light */
-
-shader node_ies_light(int use_mapping = 0,
-                      matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-                      string filename = "",
-                      float Strength = 1.0,
-                      point Vector = I,
-                      output float Fac = 0.0)
-{
-  point p = Vector;
-
-  if (use_mapping) {
-    p = transform(mapping, p);
-  }
-
-  p = normalize((vector)p);
-
-  float v_angle = acos(-p[2]);
-  float h_angle = atan2(p[0], p[1]) + M_PI;
-
-  Fac = Strength * texture(filename, h_angle, v_angle);
-}
diff --git a/intern/cycles/kernel/shaders/node_image_texture.osl b/intern/cycles/kernel/shaders/node_image_texture.osl
deleted file mode 100644
index 56fcc47a011..00000000000
--- a/intern/cycles/kernel/shaders/node_image_texture.osl
+++ /dev/null
@@ -1,270 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_color.h"
-#include "stdcycles.h"
-
-point texco_remap_square(point co)
-{
-  return (co - point(0.5, 0.5, 0.5)) * 2.0;
-}
-
-point map_to_tube(vector dir)
-{
-  float u, v;
-  v = (dir[2] + 1.0) * 0.5;
-  float len = sqrt(dir[0] * dir[0] + dir[1] * dir[1]);
-  if (len > 0.0) {
-    u = (1.0 - (atan2(dir[0] / len, dir[1] / len) / M_PI)) * 0.5;
-  }
-  else {
-    v = u = 0.0; /* To avoid un-initialized variables. */
-  }
-  return point(u, v, 0.0);
-}
-
-point map_to_sphere(vector dir)
-{
-  float len = length(dir);
-  float v, u;
-  if (len > 0.0) {
-    if (dir[0] == 0.0 && dir[1] == 0.0) {
-      u = 0.0; /* Otherwise domain error. */
-    }
-    else {
-      u = (1.0 - atan2(dir[0], dir[1]) / M_PI) / 2.0;
-    }
-    v = 1.0 - acos(dir[2] / len) / M_PI;
-  }
-  else {
-    v = u = 0.0; /* To avoid un-initialized variables. */
-  }
-  return point(u, v, 0.0);
-}
-
-color image_texture_lookup(string filename,
-                           float u,
-                           float v,
-                           output float Alpha,
-                           int compress_as_srgb,
-                           int ignore_alpha,
-                           int unassociate_alpha,
-                           int is_float,
-                           int is_tiled,
-                           string interpolation,
-                           string extension)
-{
-  /* Flip the y coordinate, but preserve UDIM tiles. */
-  float flip_v;
-  if (is_tiled) {
-    float v_i = (int)v;
-    flip_v = v_i + (1.0 - (v - v_i));
-  }
-  else {
-    flip_v = 1.0 - v;
-  }
-  color rgb = (color)texture(
-      filename, u, flip_v, "wrap", extension, "interp", interpolation, "alpha", Alpha);
-
-  if (ignore_alpha) {
-    Alpha = 1.0;
-  }
-  else if (unassociate_alpha) {
-    rgb = color_unpremultiply(rgb, Alpha);
-
-    if (!is_float)
-      rgb = min(rgb, 1.0);
-  }
-
-  if (compress_as_srgb) {
-    rgb = color_srgb_to_scene_linear(rgb);
-  }
-
-  return rgb;
-}
-
-shader node_image_texture(int use_mapping = 0,
-                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-                          point Vector = P,
-                          string filename = "",
-                          string projection = "flat",
-                          string interpolation = "smartcubic",
-                          string extension = "periodic",
-                          float projection_blend = 0.0,
-                          int compress_as_srgb = 0,
-                          int ignore_alpha = 0,
-                          int unassociate_alpha = 0,
-                          int is_tiled = 0,
-                          int is_float = 1,
-                          output color Color = 0.0,
-                          output float Alpha = 1.0)
-{
-  point p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  if (projection == "flat") {
-    Color = image_texture_lookup(filename,
-                                 p[0],
-                                 p[1],
-                                 Alpha,
-                                 compress_as_srgb,
-                                 ignore_alpha,
-                                 unassociate_alpha,
-                                 is_float,
-                                 is_tiled,
-                                 interpolation,
-                                 extension);
-  }
-  else if (projection == "box") {
-    /* object space normal */
-    vector Nob = transform("world", "object", N);
-
-    /* project from direction vector to barycentric coordinates in triangles */
-    Nob = vector(fabs(Nob[0]), fabs(Nob[1]), fabs(Nob[2]));
-    Nob /= (Nob[0] + Nob[1] + Nob[2]);
-
-    /* basic idea is to think of this as a triangle, each corner representing
-     * one of the 3 faces of the cube. in the corners we have single textures,
-     * in between we blend between two textures, and in the middle we a blend
-     * between three textures.
-     *
-     * the `Nxyz` values are the barycentric coordinates in an equilateral
-     * triangle, which in case of blending, in the middle has a smaller
-     * equilateral triangle where 3 textures blend. this divides things into
-     * 7 zones, with an if () test for each zone. */
-
-    vector weight = vector(0.0, 0.0, 0.0);
-    float blend = projection_blend;
-    float limit = 0.5 * (1.0 + blend);
-
-    /* first test for corners with single texture */
-    if (Nob[0] > limit * (Nob[0] + Nob[1]) && Nob[0] > limit * (Nob[0] + Nob[2])) {
-      weight[0] = 1.0;
-    }
-    else if (Nob[1] > limit * (Nob[0] + Nob[1]) && Nob[1] > limit * (Nob[1] + Nob[2])) {
-      weight[1] = 1.0;
-    }
-    else if (Nob[2] > limit * (Nob[0] + Nob[2]) && Nob[2] > limit * (Nob[1] + Nob[2])) {
-      weight[2] = 1.0;
-    }
-    else if (blend > 0.0) {
-      /* in case of blending, test for mixes between two textures */
-      if (Nob[2] < (1.0 - limit) * (Nob[1] + Nob[0])) {
-        weight[0] = Nob[0] / (Nob[0] + Nob[1]);
-        weight[0] = clamp((weight[0] - 0.5 * (1.0 - blend)) / blend, 0.0, 1.0);
-        weight[1] = 1.0 - weight[0];
-      }
-      else if (Nob[0] < (1.0 - limit) * (Nob[1] + Nob[2])) {
-        weight[1] = Nob[1] / (Nob[1] + Nob[2]);
-        weight[1] = clamp((weight[1] - 0.5 * (1.0 - blend)) / blend, 0.0, 1.0);
-        weight[2] = 1.0 - weight[1];
-      }
-      else if (Nob[1] < (1.0 - limit) * (Nob[0] + Nob[2])) {
-        weight[0] = Nob[0] / (Nob[0] + Nob[2]);
-        weight[0] = clamp((weight[0] - 0.5 * (1.0 - blend)) / blend, 0.0, 1.0);
-        weight[2] = 1.0 - weight[0];
-      }
-      else {
-        /* last case, we have a mix between three */
-        weight[0] = ((2.0 - limit) * Nob[0] + (limit - 1.0)) / (2.0 * limit - 1.0);
-        weight[1] = ((2.0 - limit) * Nob[1] + (limit - 1.0)) / (2.0 * limit - 1.0);
-        weight[2] = ((2.0 - limit) * Nob[2] + (limit - 1.0)) / (2.0 * limit - 1.0);
-      }
-    }
-    else {
-      /* Desperate mode, no valid choice anyway, fallback to one side.*/
-      weight[0] = 1.0;
-    }
-
-    Color = color(0.0, 0.0, 0.0);
-    Alpha = 0.0;
-
-    float tmp_alpha;
-
-    if (weight[0] > 0.0) {
-      Color += weight[0] * image_texture_lookup(filename,
-                                                p[1],
-                                                p[2],
-                                                tmp_alpha,
-                                                compress_as_srgb,
-                                                ignore_alpha,
-                                                unassociate_alpha,
-                                                is_float,
-                                                0,
-                                                interpolation,
-                                                extension);
-      Alpha += weight[0] * tmp_alpha;
-    }
-    if (weight[1] > 0.0) {
-      Color += weight[1] * image_texture_lookup(filename,
-                                                p[0],
-                                                p[2],
-                                                tmp_alpha,
-                                                compress_as_srgb,
-                                                ignore_alpha,
-                                                unassociate_alpha,
-                                                is_float,
-                                                0,
-                                                interpolation,
-                                                extension);
-      Alpha += weight[1] * tmp_alpha;
-    }
-    if (weight[2] > 0.0) {
-      Color += weight[2] * image_texture_lookup(filename,
-                                                p[1],
-                                                p[0],
-                                                tmp_alpha,
-                                                compress_as_srgb,
-                                                ignore_alpha,
-                                                unassociate_alpha,
-                                                is_float,
-                                                0,
-                                                interpolation,
-                                                extension);
-      Alpha += weight[2] * tmp_alpha;
-    }
-  }
-  else if (projection == "sphere") {
-    point projected = map_to_sphere(texco_remap_square(p));
-    Color = image_texture_lookup(filename,
-                                 projected[0],
-                                 projected[1],
-                                 Alpha,
-                                 compress_as_srgb,
-                                 ignore_alpha,
-                                 unassociate_alpha,
-                                 is_float,
-                                 0,
-                                 interpolation,
-                                 extension);
-  }
-  else if (projection == "tube") {
-    point projected = map_to_tube(texco_remap_square(p));
-    Color = image_texture_lookup(filename,
-                                 projected[0],
-                                 projected[1],
-                                 Alpha,
-                                 compress_as_srgb,
-                                 ignore_alpha,
-                                 unassociate_alpha,
-                                 is_float,
-                                 0,
-                                 interpolation,
-                                 extension);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_invert.osl b/intern/cycles/kernel/shaders/node_invert.osl
deleted file mode 100644
index 23c16935ca1..00000000000
--- a/intern/cycles/kernel/shaders/node_invert.osl
+++ /dev/null
@@ -1,23 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_invert(float Fac = 1.0, color ColorIn = 0.8, output color ColorOut = 0.8)
-{
-  color ColorInv = color(1.0) - ColorIn;
-  ColorOut = mix(ColorIn, ColorInv, Fac);
-}
diff --git a/intern/cycles/kernel/shaders/node_layer_weight.osl b/intern/cycles/kernel/shaders/node_layer_weight.osl
deleted file mode 100644
index 1662be2cad1..00000000000
--- a/intern/cycles/kernel/shaders/node_layer_weight.osl
+++ /dev/null
@@ -1,44 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_fresnel.h"
-#include "stdcycles.h"
-
-shader node_layer_weight(float Blend = 0.5,
-                         normal Normal = N,
-                         output float Fresnel = 0.0,
-                         output float Facing = 0.0)
-{
-  float blend = Blend;
-  float cosi = dot(I, Normal);
-
-  /* Fresnel */
-  float eta = max(1.0 - Blend, 1e-5);
-  eta = backfacing() ? eta : 1.0 / eta;
-  Fresnel = fresnel_dielectric_cos(cosi, eta);
-
-  /* Facing */
-  Facing = fabs(cosi);
-
-  if (blend != 0.5) {
-    blend = clamp(blend, 0.0, 1.0 - 1e-5);
-    blend = (blend < 0.5) ? 2.0 * blend : 0.5 / (1.0 - blend);
-
-    Facing = pow(Facing, blend);
-  }
-
-  Facing = 1.0 - Facing;
-}
diff --git a/intern/cycles/kernel/shaders/node_light_falloff.osl b/intern/cycles/kernel/shaders/node_light_falloff.osl
deleted file mode 100644
index 3f3c9444a5a..00000000000
--- a/intern/cycles/kernel/shaders/node_light_falloff.osl
+++ /dev/null
@@ -1,42 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_light_falloff(float Strength = 0.0,
-                          float Smooth = 0.0,
-                          output float Quadratic = 0.0,
-                          output float Linear = 0.0,
-                          output float Constant = 0.0)
-{
-  float ray_length = 0.0;
-  float strength = Strength;
-  getattribute("path:ray_length", ray_length);
-
-  if (Smooth > 0.0) {
-    float squared = ray_length * ray_length;
-    strength *= squared / (Smooth + squared);
-  }
-
-  /* Quadratic */
-  Quadratic = strength;
-
-  /* Linear */
-  Linear = (strength * ray_length);
-
-  /* Constant */
-  Constant = (strength * ray_length * ray_length);
-}
diff --git a/intern/cycles/kernel/shaders/node_light_path.osl b/intern/cycles/kernel/shaders/node_light_path.osl
deleted file mode 100644
index ba268db288c..00000000000
--- a/intern/cycles/kernel/shaders/node_light_path.osl
+++ /dev/null
@@ -1,64 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_light_path(output float IsCameraRay = 0.0,
-                       output float IsShadowRay = 0.0,
-                       output float IsDiffuseRay = 0.0,
-                       output float IsGlossyRay = 0.0,
-                       output float IsSingularRay = 0.0,
-                       output float IsReflectionRay = 0.0,
-                       output float IsTransmissionRay = 0.0,
-                       output float IsVolumeScatterRay = 0.0,
-                       output float RayLength = 0.0,
-                       output float RayDepth = 0.0,
-                       output float DiffuseDepth = 0.0,
-                       output float GlossyDepth = 0.0,
-                       output float TransparentDepth = 0.0,
-                       output float TransmissionDepth = 0.0)
-{
-  IsCameraRay = raytype("camera");
-  IsShadowRay = raytype("shadow");
-  IsDiffuseRay = raytype("diffuse");
-  IsGlossyRay = raytype("glossy");
-  IsSingularRay = raytype("singular");
-  IsReflectionRay = raytype("reflection");
-  IsTransmissionRay = raytype("refraction");
-  IsVolumeScatterRay = raytype("volume_scatter");
-
-  getattribute("path:ray_length", RayLength);
-
-  int ray_depth = 0;
-  getattribute("path:ray_depth", ray_depth);
-  RayDepth = (float)ray_depth;
-
-  int diffuse_depth = 0;
-  getattribute("path:diffuse_depth", diffuse_depth);
-  DiffuseDepth = (float)diffuse_depth;
-
-  int glossy_depth = 0;
-  getattribute("path:glossy_depth", glossy_depth);
-  GlossyDepth = (float)glossy_depth;
-
-  int transparent_depth = 0;
-  getattribute("path:transparent_depth", transparent_depth);
-  TransparentDepth = (float)transparent_depth;
-
-  int transmission_depth = 0;
-  getattribute("path:transmission_depth", transmission_depth);
-  TransmissionDepth = (float)transmission_depth;
-}
diff --git a/intern/cycles/kernel/shaders/node_magic_texture.osl b/intern/cycles/kernel/shaders/node_magic_texture.osl
deleted file mode 100644
index 476c6895f05..00000000000
--- a/intern/cycles/kernel/shaders/node_magic_texture.osl
+++ /dev/null
@@ -1,108 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-/* Magic */
-
-color magic(point p, int n, float distortion)
-{
-  float dist = distortion;
-
-  float x = sin((p[0] + p[1] + p[2]) * 5.0);
-  float y = cos((-p[0] + p[1] - p[2]) * 5.0);
-  float z = -cos((-p[0] - p[1] + p[2]) * 5.0);
-
-  if (n > 0) {
-    x *= dist;
-    y *= dist;
-    z *= dist;
-    y = -cos(x - y + z);
-    y *= dist;
-
-    if (n > 1) {
-      x = cos(x - y - z);
-      x *= dist;
-
-      if (n > 2) {
-        z = sin(-x - y - z);
-        z *= dist;
-
-        if (n > 3) {
-          x = -cos(-x + y - z);
-          x *= dist;
-
-          if (n > 4) {
-            y = -sin(-x + y + z);
-            y *= dist;
-
-            if (n > 5) {
-              y = -cos(-x + y + z);
-              y *= dist;
-
-              if (n > 6) {
-                x = cos(x + y + z);
-                x *= dist;
-
-                if (n > 7) {
-                  z = sin(x + y - z);
-                  z *= dist;
-
-                  if (n > 8) {
-                    x = -cos(-x - y + z);
-                    x *= dist;
-
-                    if (n > 9) {
-                      y = -sin(x - y + z);
-                      y *= dist;
-                    }
-                  }
-                }
-              }
-            }
-          }
-        }
-      }
-    }
-  }
-
-  if (dist != 0.0) {
-    dist *= 2.0;
-    x /= dist;
-    y /= dist;
-    z /= dist;
-  }
-
-  return color(0.5 - x, 0.5 - y, 0.5 - z);
-}
-
-shader node_magic_texture(int use_mapping = 0,
-                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-                          int depth = 2,
-                          float Distortion = 5.0,
-                          float Scale = 5.0,
-                          point Vector = P,
-                          output float Fac = 0.0,
-                          output color Color = 0.0)
-{
-  point p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  Color = magic(p * Scale, depth, Distortion);
-  Fac = (Color[0] + Color[1] + Color[2]) * (1.0 / 3.0);
-}
diff --git a/intern/cycles/kernel/shaders/node_map_range.osl b/intern/cycles/kernel/shaders/node_map_range.osl
deleted file mode 100644
index 2fcc664a80e..00000000000
--- a/intern/cycles/kernel/shaders/node_map_range.osl
+++ /dev/null
@@ -1,58 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-float safe_divide(float a, float b)
-{
-  return (b != 0.0) ? a / b : 0.0;
-}
-
-float smootherstep(float edge0, float edge1, float x)
-{
-  float t = clamp(safe_divide((x - edge0), (edge1 - edge0)), 0.0, 1.0);
-  return t * t * t * (t * (t * 6.0 - 15.0) + 10.0);
-}
-
-shader node_map_range(string range_type = "linear",
-                      float Value = 1.0,
-                      float FromMin = 0.0,
-                      float FromMax = 1.0,
-                      float ToMin = 0.0,
-                      float ToMax = 1.0,
-                      float Steps = 4.0,
-                      output float Result = 0.0)
-{
-  if (FromMax != FromMin) {
-    float Factor = Value;
-    if (range_type == "stepped") {
-      Factor = (Value - FromMin) / (FromMax - FromMin);
-      Factor = (Steps > 0) ? floor(Factor * (Steps + 1.0)) / Steps : 0.0;
-    }
-    else if (range_type == "smoothstep") {
-      Factor = (FromMin > FromMax) ? 1.0 - smoothstep(FromMax, FromMin, Value) :
-                                     smoothstep(FromMin, FromMax, Value);
-    }
-    else if (range_type == "smootherstep") {
-      Factor = (FromMin > FromMax) ? 1.0 - smootherstep(FromMax, FromMin, Value) :
-                                     smootherstep(FromMin, FromMax, Value);
-    }
-    else {
-      Factor = (Value - FromMin) / (FromMax - FromMin);
-    }
-    Result = ToMin + Factor * (ToMax - ToMin);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_mapping.osl b/intern/cycles/kernel/shaders/node_mapping.osl
deleted file mode 100644
index 131640685bc..00000000000
--- a/intern/cycles/kernel/shaders/node_mapping.osl
+++ /dev/null
@@ -1,73 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-point safe_divide(point a, point b)
-{
-  return point((b[0] != 0.0) ? a[0] / b[0] : 0.0,
-               (b[1] != 0.0) ? a[1] / b[1] : 0.0,
-               (b[2] != 0.0) ? a[2] / b[2] : 0.0);
-}
-
-matrix euler_to_mat(point euler)
-{
-  float cx = cos(euler[0]);
-  float cy = cos(euler[1]);
-  float cz = cos(euler[2]);
-  float sx = sin(euler[0]);
-  float sy = sin(euler[1]);
-  float sz = sin(euler[2]);
-
-  matrix mat = matrix(1.0);
-  mat[0][0] = cy * cz;
-  mat[0][1] = cy * sz;
-  mat[0][2] = -sy;
-
-  mat[1][0] = sy * sx * cz - cx * sz;
-  mat[1][1] = sy * sx * sz + cx * cz;
-  mat[1][2] = cy * sx;
-
-  mat[2][0] = sy * cx * cz + sx * sz;
-  mat[2][1] = sy * cx * sz - sx * cz;
-  mat[2][2] = cy * cx;
-  return mat;
-}
-
-shader node_mapping(string mapping_type = "point",
-                    point VectorIn = point(0.0, 0.0, 0.0),
-                    point Location = point(0.0, 0.0, 0.0),
-                    point Rotation = point(0.0, 0.0, 0.0),
-                    point Scale = point(1.0, 1.0, 1.0),
-                    output point VectorOut = point(0.0, 0.0, 0.0))
-{
-  if (mapping_type == "point") {
-    VectorOut = transform(euler_to_mat(Rotation), (VectorIn * Scale)) + Location;
-  }
-  else if (mapping_type == "texture") {
-    VectorOut = safe_divide(transform(transpose(euler_to_mat(Rotation)), (VectorIn - Location)),
-                            Scale);
-  }
-  else if (mapping_type == "vector") {
-    VectorOut = transform(euler_to_mat(Rotation), (VectorIn * Scale));
-  }
-  else if (mapping_type == "normal") {
-    VectorOut = normalize((vector)transform(euler_to_mat(Rotation), safe_divide(VectorIn, Scale)));
-  }
-  else {
-    warning("%s", "Unknown Mapping vector type!");
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_math.h b/intern/cycles/kernel/shaders/node_math.h
deleted file mode 100644
index 2da73b94212..00000000000
--- a/intern/cycles/kernel/shaders/node_math.h
+++ /dev/null
@@ -1,117 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-float safe_divide(float a, float b)
-{
-  return (b != 0.0) ? a / b : 0.0;
-}
-
-vector safe_divide(vector a, vector b)
-{
-  return vector((b[0] != 0.0) ? a[0] / b[0] : 0.0,
-                (b[1] != 0.0) ? a[1] / b[1] : 0.0,
-                (b[2] != 0.0) ? a[2] / b[2] : 0.0);
-}
-
-float safe_modulo(float a, float b)
-{
-  return (b != 0.0) ? fmod(a, b) : 0.0;
-}
-
-float fract(float a)
-{
-  return a - floor(a);
-}
-
-/* See: https://www.iquilezles.org/www/articles/smin/smin.htm. */
-float smoothmin(float a, float b, float c)
-{
-  if (c != 0.0) {
-    float h = max(c - abs(a - b), 0.0) / c;
-    return min(a, b) - h * h * h * c * (1.0 / 6.0);
-  }
-  else {
-    return min(a, b);
-  }
-}
-
-float pingpong(float a, float b)
-{
-  return (b != 0.0) ? abs(fract((a - b) / (b * 2.0)) * b * 2.0 - b) : 0.0;
-}
-
-float safe_sqrt(float a)
-{
-  return (a > 0.0) ? sqrt(a) : 0.0;
-}
-
-float safe_log(float a, float b)
-{
-  return (a > 0.0 && b > 0.0) ? log(a) / log(b) : 0.0;
-}
-
-vector project(vector v, vector v_proj)
-{
-  float lenSquared = dot(v_proj, v_proj);
-  return (lenSquared != 0.0) ? (dot(v, v_proj) / lenSquared) * v_proj : vector(0.0);
-}
-
-vector snap(vector a, vector b)
-{
-  return floor(safe_divide(a, b)) * b;
-}
-
-/* Adapted from GODOT-engine math_funcs.h. */
-float wrap(float value, float max, float min)
-{
-  float range = max - min;
-  return (range != 0.0) ? value - (range * floor((value - min) / range)) : min;
-}
-
-point wrap(point value, point max, point min)
-{
-  return point(wrap(value[0], max[0], min[0]),
-               wrap(value[1], max[1], min[1]),
-               wrap(value[2], max[2], min[2]));
-}
-
-/* Built in OSL faceforward is `(dot(I, Nref) > 0) ? -N : N;` which is different to
- * GLSL `dot(Nref, I) < 0 ? N : -N` for zero values. */
-point compatible_faceforward(point vec, point incident, point reference)
-{
-  return dot(reference, incident) < 0.0 ? vec : -vec;
-}
-
-matrix euler_to_mat(point euler)
-{
-  float cx = cos(euler[0]);
-  float cy = cos(euler[1]);
-  float cz = cos(euler[2]);
-  float sx = sin(euler[0]);
-  float sy = sin(euler[1]);
-  float sz = sin(euler[2]);
-  matrix mat = matrix(1.0);
-  mat[0][0] = cy * cz;
-  mat[0][1] = cy * sz;
-  mat[0][2] = -sy;
-  mat[1][0] = sy * sx * cz - cx * sz;
-  mat[1][1] = sy * sx * sz + cx * cz;
-  mat[1][2] = cy * sx;
-  +mat[2][0] = sy * cx * cz + sx * sz;
-  mat[2][1] = sy * cx * sz - sx * cz;
-  mat[2][2] = cy * cx;
-  return mat;
-}
diff --git a/intern/cycles/kernel/shaders/node_math.osl b/intern/cycles/kernel/shaders/node_math.osl
deleted file mode 100644
index 66884610561..00000000000
--- a/intern/cycles/kernel/shaders/node_math.osl
+++ /dev/null
@@ -1,109 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_math.h"
-#include "stdcycles.h"
-
-/* OSL asin, acos, and pow functions are safe by default. */
-shader node_math(string math_type = "add",
-                 float Value1 = 0.5,
-                 float Value2 = 0.5,
-                 float Value3 = 0.5,
-                 output float Value = 0.0)
-{
-  if (math_type == "add")
-    Value = Value1 + Value2;
-  else if (math_type == "subtract")
-    Value = Value1 - Value2;
-  else if (math_type == "multiply")
-    Value = Value1 * Value2;
-  else if (math_type == "divide")
-    Value = safe_divide(Value1, Value2);
-  else if (math_type == "power")
-    Value = pow(Value1, Value2);
-  else if (math_type == "logarithm")
-    Value = safe_log(Value1, Value2);
-  else if (math_type == "sqrt")
-    Value = safe_sqrt(Value1);
-  else if (math_type == "inversesqrt")
-    Value = inversesqrt(Value1);
-  else if (math_type == "absolute")
-    Value = fabs(Value1);
-  else if (math_type == "radians")
-    Value = radians(Value1);
-  else if (math_type == "degrees")
-    Value = degrees(Value1);
-  else if (math_type == "minimum")
-    Value = min(Value1, Value2);
-  else if (math_type == "maximum")
-    Value = max(Value1, Value2);
-  else if (math_type == "less_than")
-    Value = Value1 < Value2;
-  else if (math_type == "greater_than")
-    Value = Value1 > Value2;
-  else if (math_type == "round")
-    Value = floor(Value1 + 0.5);
-  else if (math_type == "floor")
-    Value = floor(Value1);
-  else if (math_type == "ceil")
-    Value = ceil(Value1);
-  else if (math_type == "fraction")
-    Value = Value1 - floor(Value1);
-  else if (math_type == "modulo")
-    Value = safe_modulo(Value1, Value2);
-  else if (math_type == "trunc")
-    Value = trunc(Value1);
-  else if (math_type == "snap")
-    Value = floor(safe_divide(Value1, Value2)) * Value2;
-  else if (math_type == "wrap")
-    Value = wrap(Value1, Value2, Value3);
-  else if (math_type == "pingpong")
-    Value = pingpong(Value1, Value2);
-  else if (math_type == "sine")
-    Value = sin(Value1);
-  else if (math_type == "cosine")
-    Value = cos(Value1);
-  else if (math_type == "tangent")
-    Value = tan(Value1);
-  else if (math_type == "sinh")
-    Value = sinh(Value1);
-  else if (math_type == "cosh")
-    Value = cosh(Value1);
-  else if (math_type == "tanh")
-    Value = tanh(Value1);
-  else if (math_type == "arcsine")
-    Value = asin(Value1);
-  else if (math_type == "arccosine")
-    Value = acos(Value1);
-  else if (math_type == "arctangent")
-    Value = atan(Value1);
-  else if (math_type == "arctan2")
-    Value = atan2(Value1, Value2);
-  else if (math_type == "sign")
-    Value = sign(Value1);
-  else if (math_type == "exponent")
-    Value = exp(Value1);
-  else if (math_type == "compare")
-    Value = ((Value1 == Value2) || (abs(Value1 - Value2) <= max(Value3, 1e-5))) ? 1.0 : 0.0;
-  else if (math_type == "multiply_add")
-    Value = Value1 * Value2 + Value3;
-  else if (math_type == "smoothmin")
-    Value = smoothmin(Value1, Value2, Value3);
-  else if (math_type == "smoothmax")
-    Value = -(smoothmin(-Value1, -Value2, Value3));
-  else
-    warning("%s", "Unknown math operator!");
-}
diff --git a/intern/cycles/kernel/shaders/node_mix.osl b/intern/cycles/kernel/shaders/node_mix.osl
deleted file mode 100644
index dcd9f014f3e..00000000000
--- a/intern/cycles/kernel/shaders/node_mix.osl
+++ /dev/null
@@ -1,330 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_color.h"
-#include "stdcycles.h"
-
-color node_mix_blend(float t, color col1, color col2)
-{
-  return mix(col1, col2, t);
-}
-
-color node_mix_add(float t, color col1, color col2)
-{
-  return mix(col1, col1 + col2, t);
-}
-
-color node_mix_mul(float t, color col1, color col2)
-{
-  return mix(col1, col1 * col2, t);
-}
-
-color node_mix_screen(float t, color col1, color col2)
-{
-  float tm = 1.0 - t;
-
-  return color(1.0) - (color(tm) + t * (color(1.0) - col2)) * (color(1.0) - col1);
-}
-
-color node_mix_overlay(float t, color col1, color col2)
-{
-  float tm = 1.0 - t;
-
-  color outcol = col1;
-
-  if (outcol[0] < 0.5)
-    outcol[0] *= tm + 2.0 * t * col2[0];
-  else
-    outcol[0] = 1.0 - (tm + 2.0 * t * (1.0 - col2[0])) * (1.0 - outcol[0]);
-
-  if (outcol[1] < 0.5)
-    outcol[1] *= tm + 2.0 * t * col2[1];
-  else
-    outcol[1] = 1.0 - (tm + 2.0 * t * (1.0 - col2[1])) * (1.0 - outcol[1]);
-
-  if (outcol[2] < 0.5)
-    outcol[2] *= tm + 2.0 * t * col2[2];
-  else
-    outcol[2] = 1.0 - (tm + 2.0 * t * (1.0 - col2[2])) * (1.0 - outcol[2]);
-
-  return outcol;
-}
-
-color node_mix_sub(float t, color col1, color col2)
-{
-  return mix(col1, col1 - col2, t);
-}
-
-color node_mix_div(float t, color col1, color col2)
-{
-  float tm = 1.0 - t;
-
-  color outcol = col1;
-
-  if (col2[0] != 0.0)
-    outcol[0] = tm * outcol[0] + t * outcol[0] / col2[0];
-  if (col2[1] != 0.0)
-    outcol[1] = tm * outcol[1] + t * outcol[1] / col2[1];
-  if (col2[2] != 0.0)
-    outcol[2] = tm * outcol[2] + t * outcol[2] / col2[2];
-
-  return outcol;
-}
-
-color node_mix_diff(float t, color col1, color col2)
-{
-  return mix(col1, abs(col1 - col2), t);
-}
-
-color node_mix_dark(float t, color col1, color col2)
-{
-  return mix(col1, min(col1, col2), t);
-}
-
-color node_mix_light(float t, color col1, color col2)
-{
-  return mix(col1, max(col1, col2), t);
-}
-
-color node_mix_dodge(float t, color col1, color col2)
-{
-  color outcol = col1;
-
-  if (outcol[0] != 0.0) {
-    float tmp = 1.0 - t * col2[0];
-    if (tmp <= 0.0)
-      outcol[0] = 1.0;
-    else if ((tmp = outcol[0] / tmp) > 1.0)
-      outcol[0] = 1.0;
-    else
-      outcol[0] = tmp;
-  }
-  if (outcol[1] != 0.0) {
-    float tmp = 1.0 - t * col2[1];
-    if (tmp <= 0.0)
-      outcol[1] = 1.0;
-    else if ((tmp = outcol[1] / tmp) > 1.0)
-      outcol[1] = 1.0;
-    else
-      outcol[1] = tmp;
-  }
-  if (outcol[2] != 0.0) {
-    float tmp = 1.0 - t * col2[2];
-    if (tmp <= 0.0)
-      outcol[2] = 1.0;
-    else if ((tmp = outcol[2] / tmp) > 1.0)
-      outcol[2] = 1.0;
-    else
-      outcol[2] = tmp;
-  }
-
-  return outcol;
-}
-
-color node_mix_burn(float t, color col1, color col2)
-{
-  float tmp, tm = 1.0 - t;
-
-  color outcol = col1;
-
-  tmp = tm + t * col2[0];
-  if (tmp <= 0.0)
-    outcol[0] = 0.0;
-  else if ((tmp = (1.0 - (1.0 - outcol[0]) / tmp)) < 0.0)
-    outcol[0] = 0.0;
-  else if (tmp > 1.0)
-    outcol[0] = 1.0;
-  else
-    outcol[0] = tmp;
-
-  tmp = tm + t * col2[1];
-  if (tmp <= 0.0)
-    outcol[1] = 0.0;
-  else if ((tmp = (1.0 - (1.0 - outcol[1]) / tmp)) < 0.0)
-    outcol[1] = 0.0;
-  else if (tmp > 1.0)
-    outcol[1] = 1.0;
-  else
-    outcol[1] = tmp;
-
-  tmp = tm + t * col2[2];
-  if (tmp <= 0.0)
-    outcol[2] = 0.0;
-  else if ((tmp = (1.0 - (1.0 - outcol[2]) / tmp)) < 0.0)
-    outcol[2] = 0.0;
-  else if (tmp > 1.0)
-    outcol[2] = 1.0;
-  else
-    outcol[2] = tmp;
-
-  return outcol;
-}
-
-color node_mix_hue(float t, color col1, color col2)
-{
-  color outcol = col1;
-  color hsv2 = rgb_to_hsv(col2);
-
-  if (hsv2[1] != 0.0) {
-    color hsv = rgb_to_hsv(outcol);
-    hsv[0] = hsv2[0];
-    color tmp = hsv_to_rgb(hsv);
-
-    outcol = mix(outcol, tmp, t);
-  }
-
-  return outcol;
-}
-
-color node_mix_sat(float t, color col1, color col2)
-{
-  float tm = 1.0 - t;
-
-  color outcol = col1;
-
-  color hsv = rgb_to_hsv(outcol);
-
-  if (hsv[1] != 0.0) {
-    color hsv2 = rgb_to_hsv(col2);
-
-    hsv[1] = tm * hsv[1] + t * hsv2[1];
-    outcol = hsv_to_rgb(hsv);
-  }
-
-  return outcol;
-}
-
-color node_mix_val(float t, color col1, color col2)
-{
-  float tm = 1.0 - t;
-
-  color hsv = rgb_to_hsv(col1);
-  color hsv2 = rgb_to_hsv(col2);
-
-  hsv[2] = tm * hsv[2] + t * hsv2[2];
-
-  return hsv_to_rgb(hsv);
-}
-
-color node_mix_color(float t, color col1, color col2)
-{
-  color outcol = col1;
-  color hsv2 = rgb_to_hsv(col2);
-
-  if (hsv2[1] != 0.0) {
-    color hsv = rgb_to_hsv(outcol);
-    hsv[0] = hsv2[0];
-    hsv[1] = hsv2[1];
-    color tmp = hsv_to_rgb(hsv);
-
-    outcol = mix(outcol, tmp, t);
-  }
-
-  return outcol;
-}
-
-color node_mix_soft(float t, color col1, color col2)
-{
-  float tm = 1.0 - t;
-
-  color one = color(1.0);
-  color scr = one - (one - col2) * (one - col1);
-
-  return tm * col1 + t * ((one - col1) * col2 * col1 + col1 * scr);
-}
-
-color node_mix_linear(float t, color col1, color col2)
-{
-  color outcol = col1;
-
-  if (col2[0] > 0.5)
-    outcol[0] = col1[0] + t * (2.0 * (col2[0] - 0.5));
-  else
-    outcol[0] = col1[0] + t * (2.0 * (col2[0]) - 1.0);
-
-  if (col2[1] > 0.5)
-    outcol[1] = col1[1] + t * (2.0 * (col2[1] - 0.5));
-  else
-    outcol[1] = col1[1] + t * (2.0 * (col2[1]) - 1.0);
-
-  if (col2[2] > 0.5)
-    outcol[2] = col1[2] + t * (2.0 * (col2[2] - 0.5));
-  else
-    outcol[2] = col1[2] + t * (2.0 * (col2[2]) - 1.0);
-
-  return outcol;
-}
-
-color node_mix_clamp(color col)
-{
-  color outcol = col;
-
-  outcol[0] = clamp(col[0], 0.0, 1.0);
-  outcol[1] = clamp(col[1], 0.0, 1.0);
-  outcol[2] = clamp(col[2], 0.0, 1.0);
-
-  return outcol;
-}
-
-shader node_mix(string mix_type = "mix",
-                int use_clamp = 0,
-                float Fac = 0.5,
-                color Color1 = 0.0,
-                color Color2 = 0.0,
-                output color Color = 0.0)
-{
-  float t = clamp(Fac, 0.0, 1.0);
-
-  if (mix_type == "mix")
-    Color = node_mix_blend(t, Color1, Color2);
-  if (mix_type == "add")
-    Color = node_mix_add(t, Color1, Color2);
-  if (mix_type == "multiply")
-    Color = node_mix_mul(t, Color1, Color2);
-  if (mix_type == "screen")
-    Color = node_mix_screen(t, Color1, Color2);
-  if (mix_type == "overlay")
-    Color = node_mix_overlay(t, Color1, Color2);
-  if (mix_type == "subtract")
-    Color = node_mix_sub(t, Color1, Color2);
-  if (mix_type == "divide")
-    Color = node_mix_div(t, Color1, Color2);
-  if (mix_type == "difference")
-    Color = node_mix_diff(t, Color1, Color2);
-  if (mix_type == "darken")
-    Color = node_mix_dark(t, Color1, Color2);
-  if (mix_type == "lighten")
-    Color = node_mix_light(t, Color1, Color2);
-  if (mix_type == "dodge")
-    Color = node_mix_dodge(t, Color1, Color2);
-  if (mix_type == "burn")
-    Color = node_mix_burn(t, Color1, Color2);
-  if (mix_type == "hue")
-    Color = node_mix_hue(t, Color1, Color2);
-  if (mix_type == "saturation")
-    Color = node_mix_sat(t, Color1, Color2);
-  if (mix_type == "value")
-    Color = node_mix_val(t, Color1, Color2);
-  if (mix_type == "color")
-    Color = node_mix_color(t, Color1, Color2);
-  if (mix_type == "soft_light")
-    Color = node_mix_soft(t, Color1, Color2);
-  if (mix_type == "linear_light")
-    Color = node_mix_linear(t, Color1, Color2);
-
-  if (use_clamp)
-    Color = node_mix_clamp(Color);
-}
diff --git a/intern/cycles/kernel/shaders/node_mix_closure.osl b/intern/cycles/kernel/shaders/node_mix_closure.osl
deleted file mode 100644
index 94fc2171c44..00000000000
--- a/intern/cycles/kernel/shaders/node_mix_closure.osl
+++ /dev/null
@@ -1,26 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_mix_closure(float Fac = 0.5,
-                        closure color Closure1 = 0,
-                        closure color Closure2 = 0,
-                        output closure color Closure = 0)
-{
-  float t = clamp(Fac, 0.0, 1.0);
-  Closure = (1.0 - t) * Closure1 + t * Closure2;
-}
diff --git a/intern/cycles/kernel/shaders/node_musgrave_texture.osl b/intern/cycles/kernel/shaders/node_musgrave_texture.osl
deleted file mode 100644
index 0e71ce74c29..00000000000
--- a/intern/cycles/kernel/shaders/node_musgrave_texture.osl
+++ /dev/null
@@ -1,803 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_noise.h"
-#include "stdcycles.h"
-#include "vector2.h"
-#include "vector4.h"
-
-#define vector3 point
-
-/* 1D Musgrave fBm
- *
- * H: fractal increment parameter
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- *
- * from "Texturing and Modelling: A procedural approach"
- */
-
-float noise_musgrave_fBm_1d(float co, float H, float lacunarity, float octaves)
-{
-  float p = co;
-  float value = 0.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value += safe_snoise(p) * pwr;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * safe_snoise(p) * pwr;
-  }
-
-  return value;
-}
-
-/* 1D Musgrave Multifractal
- *
- * H: highest fractal dimension
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- */
-
-float noise_musgrave_multi_fractal_1d(float co, float H, float lacunarity, float octaves)
-{
-  float p = co;
-  float value = 1.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value *= (pwr * safe_snoise(p) + 1.0);
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
-  }
-
-  return value;
-}
-
-/* 1D Musgrave Heterogeneous Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hetero_terrain_1d(
-    float co, float H, float lacunarity, float octaves, float offset)
-{
-  float p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  /* first unscaled octave of function; later octaves are scaled */
-  float value = offset + safe_snoise(p);
-  p *= lacunarity;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += increment;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += rmd * increment;
-  }
-
-  return value;
-}
-
-/* 1D Hybrid Additive/Multiplicative Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hybrid_multi_fractal_1d(
-    float co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  float p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float value = safe_snoise(p) + offset;
-  float weight = gain * value;
-  p *= lacunarity;
-
-  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
-    if (weight > 1.0) {
-      weight = 1.0;
-    }
-
-    float signal = (safe_snoise(p) + offset) * pwr;
-    pwr *= pwHL;
-    value += weight * signal;
-    weight *= gain * signal;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * ((safe_snoise(p) + offset) * pwr);
-  }
-
-  return value;
-}
-
-/* 1D Ridged Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_ridged_multi_fractal_1d(
-    float co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  float p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float signal = offset - fabs(safe_snoise(p));
-  signal *= signal;
-  float value = signal;
-  float weight = 1.0;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    p *= lacunarity;
-    weight = clamp(signal * gain, 0.0, 1.0);
-    signal = offset - fabs(safe_snoise(p));
-    signal *= signal;
-    signal *= weight;
-    value += signal * pwr;
-    pwr *= pwHL;
-  }
-
-  return value;
-}
-
-/* 2D Musgrave fBm
- *
- * H: fractal increment parameter
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- *
- * from "Texturing and Modelling: A procedural approach"
- */
-
-float noise_musgrave_fBm_2d(vector2 co, float H, float lacunarity, float octaves)
-{
-  vector2 p = co;
-  float value = 0.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value += safe_snoise(p) * pwr;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * safe_snoise(p) * pwr;
-  }
-
-  return value;
-}
-
-/* 2D Musgrave Multifractal
- *
- * H: highest fractal dimension
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- */
-
-float noise_musgrave_multi_fractal_2d(vector2 co, float H, float lacunarity, float octaves)
-{
-  vector2 p = co;
-  float value = 1.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value *= (pwr * safe_snoise(p) + 1.0);
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
-  }
-
-  return value;
-}
-
-/* 2D Musgrave Heterogeneous Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hetero_terrain_2d(
-    vector2 co, float H, float lacunarity, float octaves, float offset)
-{
-  vector2 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  /* first unscaled octave of function; later octaves are scaled */
-  float value = offset + safe_snoise(p);
-  p *= lacunarity;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += increment;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += rmd * increment;
-  }
-
-  return value;
-}
-
-/* 2D Hybrid Additive/Multiplicative Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hybrid_multi_fractal_2d(
-    vector2 co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  vector2 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float value = safe_snoise(p) + offset;
-  float weight = gain * value;
-  p *= lacunarity;
-
-  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
-    if (weight > 1.0) {
-      weight = 1.0;
-    }
-
-    float signal = (safe_snoise(p) + offset) * pwr;
-    pwr *= pwHL;
-    value += weight * signal;
-    weight *= gain * signal;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * ((safe_snoise(p) + offset) * pwr);
-  }
-
-  return value;
-}
-
-/* 2D Ridged Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_ridged_multi_fractal_2d(
-    vector2 co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  vector2 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float signal = offset - fabs(safe_snoise(p));
-  signal *= signal;
-  float value = signal;
-  float weight = 1.0;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    p *= lacunarity;
-    weight = clamp(signal * gain, 0.0, 1.0);
-    signal = offset - fabs(safe_snoise(p));
-    signal *= signal;
-    signal *= weight;
-    value += signal * pwr;
-    pwr *= pwHL;
-  }
-
-  return value;
-}
-
-/* 3D Musgrave fBm
- *
- * H: fractal increment parameter
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- *
- * from "Texturing and Modelling: A procedural approach"
- */
-
-float noise_musgrave_fBm_3d(vector3 co, float H, float lacunarity, float octaves)
-{
-  vector3 p = co;
-  float value = 0.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value += safe_snoise(p) * pwr;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * safe_snoise(p) * pwr;
-  }
-
-  return value;
-}
-
-/* 3D Musgrave Multifractal
- *
- * H: highest fractal dimension
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- */
-
-float noise_musgrave_multi_fractal_3d(vector3 co, float H, float lacunarity, float octaves)
-{
-  vector3 p = co;
-  float value = 1.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value *= (pwr * safe_snoise(p) + 1.0);
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
-  }
-
-  return value;
-}
-
-/* 3D Musgrave Heterogeneous Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hetero_terrain_3d(
-    vector3 co, float H, float lacunarity, float octaves, float offset)
-{
-  vector3 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  /* first unscaled octave of function; later octaves are scaled */
-  float value = offset + safe_snoise(p);
-  p *= lacunarity;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += increment;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += rmd * increment;
-  }
-
-  return value;
-}
-
-/* 3D Hybrid Additive/Multiplicative Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hybrid_multi_fractal_3d(
-    vector3 co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  vector3 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float value = safe_snoise(p) + offset;
-  float weight = gain * value;
-  p *= lacunarity;
-
-  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
-    if (weight > 1.0) {
-      weight = 1.0;
-    }
-
-    float signal = (safe_snoise(p) + offset) * pwr;
-    pwr *= pwHL;
-    value += weight * signal;
-    weight *= gain * signal;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * ((safe_snoise(p) + offset) * pwr);
-  }
-
-  return value;
-}
-
-/* 3D Ridged Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_ridged_multi_fractal_3d(
-    vector3 co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  vector3 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float signal = offset - fabs(safe_snoise(p));
-  signal *= signal;
-  float value = signal;
-  float weight = 1.0;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    p *= lacunarity;
-    weight = clamp(signal * gain, 0.0, 1.0);
-    signal = offset - fabs(safe_snoise(p));
-    signal *= signal;
-    signal *= weight;
-    value += signal * pwr;
-    pwr *= pwHL;
-  }
-
-  return value;
-}
-
-/* 4D Musgrave fBm
- *
- * H: fractal increment parameter
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- *
- * from "Texturing and Modelling: A procedural approach"
- */
-
-float noise_musgrave_fBm_4d(vector4 co, float H, float lacunarity, float octaves)
-{
-  vector4 p = co;
-  float value = 0.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value += safe_snoise(p) * pwr;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * safe_snoise(p) * pwr;
-  }
-
-  return value;
-}
-
-/* 4D Musgrave Multifractal
- *
- * H: highest fractal dimension
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- */
-
-float noise_musgrave_multi_fractal_4d(vector4 co, float H, float lacunarity, float octaves)
-{
-  vector4 p = co;
-  float value = 1.0;
-  float pwr = 1.0;
-  float pwHL = pow(lacunarity, -H);
-
-  for (int i = 0; i < (int)octaves; i++) {
-    value *= (pwr * safe_snoise(p) + 1.0);
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value *= (rmd * pwr * safe_snoise(p) + 1.0); /* correct? */
-  }
-
-  return value;
-}
-
-/* 4D Musgrave Heterogeneous Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hetero_terrain_4d(
-    vector4 co, float H, float lacunarity, float octaves, float offset)
-{
-  vector4 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  /* first unscaled octave of function; later octaves are scaled */
-  float value = offset + safe_snoise(p);
-  p *= lacunarity;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += increment;
-    pwr *= pwHL;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float increment = (safe_snoise(p) + offset) * pwr * value;
-    value += rmd * increment;
-  }
-
-  return value;
-}
-
-/* 4D Hybrid Additive/Multiplicative Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_hybrid_multi_fractal_4d(
-    vector4 co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  vector4 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float value = safe_snoise(p) + offset;
-  float weight = gain * value;
-  p *= lacunarity;
-
-  for (int i = 1; (weight > 0.001) && (i < (int)octaves); i++) {
-    if (weight > 1.0) {
-      weight = 1.0;
-    }
-
-    float signal = (safe_snoise(p) + offset) * pwr;
-    pwr *= pwHL;
-    value += weight * signal;
-    weight *= gain * signal;
-    p *= lacunarity;
-  }
-
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    value += rmd * ((safe_snoise(p) + offset) * pwr);
-  }
-
-  return value;
-}
-
-/* 4D Ridged Multifractal Terrain
- *
- * H: fractal dimension of the roughest area
- * lacunarity: gap between successive frequencies
- * octaves: number of frequencies in the fBm
- * offset: raises the terrain from `sea level'
- */
-
-float noise_musgrave_ridged_multi_fractal_4d(
-    vector4 co, float H, float lacunarity, float octaves, float offset, float gain)
-{
-  vector4 p = co;
-  float pwHL = pow(lacunarity, -H);
-  float pwr = pwHL;
-
-  float signal = offset - fabs(safe_snoise(p));
-  signal *= signal;
-  float value = signal;
-  float weight = 1.0;
-
-  for (int i = 1; i < (int)octaves; i++) {
-    p *= lacunarity;
-    weight = clamp(signal * gain, 0.0, 1.0);
-    signal = offset - fabs(safe_snoise(p));
-    signal *= signal;
-    signal *= weight;
-    value += signal * pwr;
-    pwr *= pwHL;
-  }
-
-  return value;
-}
-
-shader node_musgrave_texture(
-    int use_mapping = 0,
-    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-    string musgrave_type = "fBM",
-    string dimensions = "3D",
-    point Vector = P,
-    float W = 0.0,
-    float Dimension = 2.0,
-    float Scale = 5.0,
-    float Detail = 2.0,
-    float Lacunarity = 2.0,
-    float Offset = 0.0,
-    float Gain = 1.0,
-    output float Fac = 0.0)
-{
-  float dimension = max(Dimension, 1e-5);
-  float octaves = clamp(Detail, 0.0, 16.0);
-  float lacunarity = max(Lacunarity, 1e-5);
-
-  vector3 s = Vector;
-
-  if (use_mapping)
-    s = transform(mapping, s);
-
-  if (dimensions == "1D") {
-    float p = W * Scale;
-    if (musgrave_type == "multifractal") {
-      Fac = noise_musgrave_multi_fractal_1d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "fBM") {
-      Fac = noise_musgrave_fBm_1d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "hybrid_multifractal") {
-      Fac = noise_musgrave_hybrid_multi_fractal_1d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "ridged_multifractal") {
-      Fac = noise_musgrave_ridged_multi_fractal_1d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "hetero_terrain") {
-      Fac = noise_musgrave_hetero_terrain_1d(p, dimension, lacunarity, octaves, Offset);
-    }
-    else {
-      Fac = 0.0;
-    }
-  }
-  else if (dimensions == "2D") {
-    vector2 p = vector2(s[0], s[1]) * Scale;
-    if (musgrave_type == "multifractal") {
-      Fac = noise_musgrave_multi_fractal_2d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "fBM") {
-      Fac = noise_musgrave_fBm_2d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "hybrid_multifractal") {
-      Fac = noise_musgrave_hybrid_multi_fractal_2d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "ridged_multifractal") {
-      Fac = noise_musgrave_ridged_multi_fractal_2d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "hetero_terrain") {
-      Fac = noise_musgrave_hetero_terrain_2d(p, dimension, lacunarity, octaves, Offset);
-    }
-    else {
-      Fac = 0.0;
-    }
-  }
-  else if (dimensions == "3D") {
-    vector3 p = s * Scale;
-    if (musgrave_type == "multifractal") {
-      Fac = noise_musgrave_multi_fractal_3d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "fBM") {
-      Fac = noise_musgrave_fBm_3d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "hybrid_multifractal") {
-      Fac = noise_musgrave_hybrid_multi_fractal_3d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "ridged_multifractal") {
-      Fac = noise_musgrave_ridged_multi_fractal_3d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "hetero_terrain") {
-      Fac = noise_musgrave_hetero_terrain_3d(p, dimension, lacunarity, octaves, Offset);
-    }
-    else {
-      Fac = 0.0;
-    }
-  }
-  else if (dimensions == "4D") {
-    vector4 p = vector4(s[0], s[1], s[2], W) * Scale;
-    if (musgrave_type == "multifractal") {
-      Fac = noise_musgrave_multi_fractal_4d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "fBM") {
-      Fac = noise_musgrave_fBm_4d(p, dimension, lacunarity, octaves);
-    }
-    else if (musgrave_type == "hybrid_multifractal") {
-      Fac = noise_musgrave_hybrid_multi_fractal_4d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "ridged_multifractal") {
-      Fac = noise_musgrave_ridged_multi_fractal_4d(
-          p, dimension, lacunarity, octaves, Offset, Gain);
-    }
-    else if (musgrave_type == "hetero_terrain") {
-      Fac = noise_musgrave_hetero_terrain_4d(p, dimension, lacunarity, octaves, Offset);
-    }
-    else {
-      Fac = 0.0;
-    }
-  }
-  else {
-    Fac = 0.0;
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_noise.h b/intern/cycles/kernel/shaders/node_noise.h
deleted file mode 100644
index ab4cd7792cc..00000000000
--- a/intern/cycles/kernel/shaders/node_noise.h
+++ /dev/null
@@ -1,202 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "vector2.h"
-#include "vector4.h"
-
-#define vector3 point
-
-float safe_noise(float p)
-{
-  float f = noise("noise", p);
-  if (isinf(f))
-    return 0.5;
-  return f;
-}
-
-float safe_noise(vector2 p)
-{
-  float f = noise("noise", p.x, p.y);
-  if (isinf(f))
-    return 0.5;
-  return f;
-}
-
-float safe_noise(vector3 p)
-{
-  float f = noise("noise", p);
-  if (isinf(f))
-    return 0.5;
-  return f;
-}
-
-float safe_noise(vector4 p)
-{
-  float f = noise("noise", vector3(p.x, p.y, p.z), p.w);
-  if (isinf(f))
-    return 0.5;
-  return f;
-}
-
-float safe_snoise(float p)
-{
-  float f = noise("snoise", p);
-  if (isinf(f))
-    return 0.0;
-  return f;
-}
-
-float safe_snoise(vector2 p)
-{
-  float f = noise("snoise", p.x, p.y);
-  if (isinf(f))
-    return 0.0;
-  return f;
-}
-
-float safe_snoise(vector3 p)
-{
-  float f = noise("snoise", p);
-  if (isinf(f))
-    return 0.0;
-  return f;
-}
-
-float safe_snoise(vector4 p)
-{
-  float f = noise("snoise", vector3(p.x, p.y, p.z), p.w);
-  if (isinf(f))
-    return 0.0;
-  return f;
-}
-
-/* The fractal_noise functions are all exactly the same except for the input type. */
-float fractal_noise(float p, float details, float roughness)
-{
-  float fscale = 1.0;
-  float amp = 1.0;
-  float maxamp = 0.0;
-  float sum = 0.0;
-  float octaves = clamp(details, 0.0, 16.0);
-  int n = (int)octaves;
-  for (int i = 0; i <= n; i++) {
-    float t = safe_noise(fscale * p);
-    sum += t * amp;
-    maxamp += amp;
-    amp *= clamp(roughness, 0.0, 1.0);
-    fscale *= 2.0;
-  }
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float t = safe_noise(fscale * p);
-    float sum2 = sum + t * amp;
-    sum /= maxamp;
-    sum2 /= maxamp + amp;
-    return (1.0 - rmd) * sum + rmd * sum2;
-  }
-  else {
-    return sum / maxamp;
-  }
-}
-
-/* The fractal_noise functions are all exactly the same except for the input type. */
-float fractal_noise(vector2 p, float details, float roughness)
-{
-  float fscale = 1.0;
-  float amp = 1.0;
-  float maxamp = 0.0;
-  float sum = 0.0;
-  float octaves = clamp(details, 0.0, 16.0);
-  int n = (int)octaves;
-  for (int i = 0; i <= n; i++) {
-    float t = safe_noise(fscale * p);
-    sum += t * amp;
-    maxamp += amp;
-    amp *= clamp(roughness, 0.0, 1.0);
-    fscale *= 2.0;
-  }
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float t = safe_noise(fscale * p);
-    float sum2 = sum + t * amp;
-    sum /= maxamp;
-    sum2 /= maxamp + amp;
-    return (1.0 - rmd) * sum + rmd * sum2;
-  }
-  else {
-    return sum / maxamp;
-  }
-}
-
-/* The fractal_noise functions are all exactly the same except for the input type. */
-float fractal_noise(vector3 p, float details, float roughness)
-{
-  float fscale = 1.0;
-  float amp = 1.0;
-  float maxamp = 0.0;
-  float sum = 0.0;
-  float octaves = clamp(details, 0.0, 16.0);
-  int n = (int)octaves;
-  for (int i = 0; i <= n; i++) {
-    float t = safe_noise(fscale * p);
-    sum += t * amp;
-    maxamp += amp;
-    amp *= clamp(roughness, 0.0, 1.0);
-    fscale *= 2.0;
-  }
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float t = safe_noise(fscale * p);
-    float sum2 = sum + t * amp;
-    sum /= maxamp;
-    sum2 /= maxamp + amp;
-    return (1.0 - rmd) * sum + rmd * sum2;
-  }
-  else {
-    return sum / maxamp;
-  }
-}
-
-/* The fractal_noise functions are all exactly the same except for the input type. */
-float fractal_noise(vector4 p, float details, float roughness)
-{
-  float fscale = 1.0;
-  float amp = 1.0;
-  float maxamp = 0.0;
-  float sum = 0.0;
-  float octaves = clamp(details, 0.0, 16.0);
-  int n = (int)octaves;
-  for (int i = 0; i <= n; i++) {
-    float t = safe_noise(fscale * p);
-    sum += t * amp;
-    maxamp += amp;
-    amp *= clamp(roughness, 0.0, 1.0);
-    fscale *= 2.0;
-  }
-  float rmd = octaves - floor(octaves);
-  if (rmd != 0.0) {
-    float t = safe_noise(fscale * p);
-    float sum2 = sum + t * amp;
-    sum /= maxamp;
-    sum2 /= maxamp + amp;
-    return (1.0 - rmd) * sum + rmd * sum2;
-  }
-  else {
-    return sum / maxamp;
-  }
-}
-
-#undef vector3
diff --git a/intern/cycles/kernel/shaders/node_noise_texture.osl b/intern/cycles/kernel/shaders/node_noise_texture.osl
deleted file mode 100644
index 01196ab633a..00000000000
--- a/intern/cycles/kernel/shaders/node_noise_texture.osl
+++ /dev/null
@@ -1,152 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_noise.h"
-#include "stdcycles.h"
-#include "vector2.h"
-#include "vector4.h"
-
-#define vector3 point
-
-/* The following offset functions generate random offsets to be added to texture
- * coordinates to act as a seed since the noise functions don't have seed values.
- * A seed value is needed for generating distortion textures and color outputs.
- * The offset's components are in the range [100, 200], not too high to cause
- * bad precision and not too small to be noticeable. We use float seed because
- * OSL only support float hashes.
- */
-
-float random_float_offset(float seed)
-{
-  return 100.0 + noise("hash", seed) * 100.0;
-}
-
-vector2 random_vector2_offset(float seed)
-{
-  return vector2(100.0 + noise("hash", seed, 0.0) * 100.0,
-                 100.0 + noise("hash", seed, 1.0) * 100.0);
-}
-
-vector3 random_vector3_offset(float seed)
-{
-  return vector3(100.0 + noise("hash", seed, 0.0) * 100.0,
-                 100.0 + noise("hash", seed, 1.0) * 100.0,
-                 100.0 + noise("hash", seed, 2.0) * 100.0);
-}
-
-vector4 random_vector4_offset(float seed)
-{
-  return vector4(100.0 + noise("hash", seed, 0.0) * 100.0,
-                 100.0 + noise("hash", seed, 1.0) * 100.0,
-                 100.0 + noise("hash", seed, 2.0) * 100.0,
-                 100.0 + noise("hash", seed, 3.0) * 100.0);
-}
-
-float noise_texture(float co, float detail, float roughness, float distortion, output color Color)
-{
-  float p = co;
-  if (distortion != 0.0) {
-    p += safe_snoise(p + random_float_offset(0.0)) * distortion;
-  }
-
-  float value = fractal_noise(p, detail, roughness);
-  Color = color(value,
-                fractal_noise(p + random_float_offset(1.0), detail, roughness),
-                fractal_noise(p + random_float_offset(2.0), detail, roughness));
-  return value;
-}
-
-float noise_texture(
-    vector2 co, float detail, float roughness, float distortion, output color Color)
-{
-  vector2 p = co;
-  if (distortion != 0.0) {
-    p += vector2(safe_snoise(p + random_vector2_offset(0.0)) * distortion,
-                 safe_snoise(p + random_vector2_offset(1.0)) * distortion);
-  }
-
-  float value = fractal_noise(p, detail, roughness);
-  Color = color(value,
-                fractal_noise(p + random_vector2_offset(2.0), detail, roughness),
-                fractal_noise(p + random_vector2_offset(3.0), detail, roughness));
-  return value;
-}
-
-float noise_texture(
-    vector3 co, float detail, float roughness, float distortion, output color Color)
-{
-  vector3 p = co;
-  if (distortion != 0.0) {
-    p += vector3(safe_snoise(p + random_vector3_offset(0.0)) * distortion,
-                 safe_snoise(p + random_vector3_offset(1.0)) * distortion,
-                 safe_snoise(p + random_vector3_offset(2.0)) * distortion);
-  }
-
-  float value = fractal_noise(p, detail, roughness);
-  Color = color(value,
-                fractal_noise(p + random_vector3_offset(3.0), detail, roughness),
-                fractal_noise(p + random_vector3_offset(4.0), detail, roughness));
-  return value;
-}
-
-float noise_texture(
-    vector4 co, float detail, float roughness, float distortion, output color Color)
-{
-  vector4 p = co;
-  if (distortion != 0.0) {
-    p += vector4(safe_snoise(p + random_vector4_offset(0.0)) * distortion,
-                 safe_snoise(p + random_vector4_offset(1.0)) * distortion,
-                 safe_snoise(p + random_vector4_offset(2.0)) * distortion,
-                 safe_snoise(p + random_vector4_offset(3.0)) * distortion);
-  }
-
-  float value = fractal_noise(p, detail, roughness);
-  Color = color(value,
-                fractal_noise(p + random_vector4_offset(4.0), detail, roughness),
-                fractal_noise(p + random_vector4_offset(5.0), detail, roughness));
-  return value;
-}
-
-shader node_noise_texture(int use_mapping = 0,
-                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-                          string dimensions = "3D",
-                          vector3 Vector = vector3(0, 0, 0),
-                          float W = 0.0,
-                          float Scale = 5.0,
-                          float Detail = 2.0,
-                          float Roughness = 0.5,
-                          float Distortion = 0.0,
-                          output float Fac = 0.0,
-                          output color Color = 0.0)
-{
-  vector3 p = Vector;
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  p *= Scale;
-  float w = W * Scale;
-
-  if (dimensions == "1D")
-    Fac = noise_texture(w, Detail, Roughness, Distortion, Color);
-  else if (dimensions == "2D")
-    Fac = noise_texture(vector2(p[0], p[1]), Detail, Roughness, Distortion, Color);
-  else if (dimensions == "3D")
-    Fac = noise_texture(p, Detail, Roughness, Distortion, Color);
-  else if (dimensions == "4D")
-    Fac = noise_texture(vector4(p[0], p[1], p[2], w), Detail, Roughness, Distortion, Color);
-  else
-    error("Unknown dimension!");
-}
diff --git a/intern/cycles/kernel/shaders/node_normal.osl b/intern/cycles/kernel/shaders/node_normal.osl
deleted file mode 100644
index a0a88445427..00000000000
--- a/intern/cycles/kernel/shaders/node_normal.osl
+++ /dev/null
@@ -1,26 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_normal(normal direction = normal(0.0, 0.0, 0.0),
-                   normal NormalIn = normal(0.0, 0.0, 0.0),
-                   output normal NormalOut = normal(0.0, 0.0, 0.0),
-                   output float Dot = 1.0)
-{
-  NormalOut = normalize(direction);
-  Dot = dot(NormalOut, normalize(NormalIn));
-}
diff --git a/intern/cycles/kernel/shaders/node_normal_map.osl b/intern/cycles/kernel/shaders/node_normal_map.osl
deleted file mode 100644
index 7a94ad8ad1a..00000000000
--- a/intern/cycles/kernel/shaders/node_normal_map.osl
+++ /dev/null
@@ -1,90 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_normal_map(normal NormalIn = N,
-                       float Strength = 1.0,
-                       color Color = color(0.5, 0.5, 1.0),
-                       string space = "tangent",
-                       string attr_name = "geom:tangent",
-                       string attr_sign_name = "geom:tangent_sign",
-                       output normal Normal = NormalIn)
-{
-  color mcolor = 2.0 * color(Color[0] - 0.5, Color[1] - 0.5, Color[2] - 0.5);
-  int is_backfacing = backfacing();
-
-  if (space == "tangent") {
-    vector tangent;
-    vector ninterp;
-    float tangent_sign;
-    float is_smooth = 0.0;
-
-    getattribute("geom:is_smooth", is_smooth);
-    if (!is_smooth) {
-      ninterp = normalize(transform("world", "object", Ng));
-
-      /* the normal is already inverted, which is too soon for the math here */
-      if (is_backfacing) {
-        ninterp = -ninterp;
-      }
-    }
-
-    // get _unnormalized_ interpolated normal and tangent
-    if (getattribute(attr_name, tangent) && getattribute(attr_sign_name, tangent_sign) &&
-        (!is_smooth || getattribute("geom:normal_map_normal", ninterp))) {
-      // apply normal map
-      vector B = tangent_sign * cross(ninterp, tangent);
-      Normal = normalize(mcolor[0] * tangent + mcolor[1] * B + mcolor[2] * ninterp);
-
-      // transform to world space
-      Normal = normalize(transform("object", "world", Normal));
-    }
-    else {
-      Normal = normal(0, 0, 0);
-    }
-  }
-  else if (space == "object") {
-    Normal = normalize(transform("object", "world", vector(mcolor)));
-  }
-  else if (space == "world") {
-    Normal = normalize(vector(mcolor));
-  }
-  else if (space == "blender_object") {
-    /* strange blender convention */
-    mcolor[1] = -mcolor[1];
-    mcolor[2] = -mcolor[2];
-
-    Normal = normalize(transform("object", "world", vector(mcolor)));
-  }
-  else if (space == "blender_world") {
-    /* strange blender convention */
-    mcolor[1] = -mcolor[1];
-    mcolor[2] = -mcolor[2];
-
-    Normal = normalize(vector(mcolor));
-  }
-
-  /* invert normal for backfacing polygons */
-  if (is_backfacing) {
-    Normal = -Normal;
-  }
-
-  if (Strength != 1.0)
-    Normal = normalize(NormalIn + (Normal - NormalIn) * max(Strength, 0.0));
-
-  Normal = ensure_valid_reflection(Ng, I, Normal);
-}
diff --git a/intern/cycles/kernel/shaders/node_object_info.osl b/intern/cycles/kernel/shaders/node_object_info.osl
deleted file mode 100644
index 44513d9a1ba..00000000000
--- a/intern/cycles/kernel/shaders/node_object_info.osl
+++ /dev/null
@@ -1,30 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_object_info(output point Location = point(0.0, 0.0, 0.0),
-                        output color Color = color(1.0, 1.0, 1.0),
-                        output float ObjectIndex = 0.0,
-                        output float MaterialIndex = 0.0,
-                        output float Random = 0.0)
-{
-  getattribute("object:location", Location);
-  getattribute("object:color", Color);
-  getattribute("object:index", ObjectIndex);
-  getattribute("material:index", MaterialIndex);
-  getattribute("object:random", Random);
-}
diff --git a/intern/cycles/kernel/shaders/node_output_displacement.osl b/intern/cycles/kernel/shaders/node_output_displacement.osl
deleted file mode 100644
index bd60fc2b7e1..00000000000
--- a/intern/cycles/kernel/shaders/node_output_displacement.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-displacement node_output_displacement(vector Displacement = 0.0)
-{
-  P += Displacement;
-}
diff --git a/intern/cycles/kernel/shaders/node_output_surface.osl b/intern/cycles/kernel/shaders/node_output_surface.osl
deleted file mode 100644
index cd746f79c4a..00000000000
--- a/intern/cycles/kernel/shaders/node_output_surface.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-surface node_output_surface(closure color Surface = 0)
-{
-  Ci = Surface;
-}
diff --git a/intern/cycles/kernel/shaders/node_output_volume.osl b/intern/cycles/kernel/shaders/node_output_volume.osl
deleted file mode 100644
index 4cc14cd6699..00000000000
--- a/intern/cycles/kernel/shaders/node_output_volume.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-volume node_output_volume(closure color Volume = 0)
-{
-  Ci = Volume;
-}
diff --git a/intern/cycles/kernel/shaders/node_particle_info.osl b/intern/cycles/kernel/shaders/node_particle_info.osl
deleted file mode 100644
index 2dcdf3d0f3c..00000000000
--- a/intern/cycles/kernel/shaders/node_particle_info.osl
+++ /dev/null
@@ -1,36 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_particle_info(output float Index = 0.0,
-                          output float Random = 0.0,
-                          output float Age = 0.0,
-                          output float Lifetime = 0.0,
-                          output point Location = point(0.0, 0.0, 0.0),
-                          output float Size = 0.0,
-                          output vector Velocity = point(0.0, 0.0, 0.0),
-                          output vector AngularVelocity = point(0.0, 0.0, 0.0))
-{
-  getattribute("particle:index", Index);
-  getattribute("particle:random", Random);
-  getattribute("particle:age", Age);
-  getattribute("particle:lifetime", Lifetime);
-  getattribute("particle:location", Location);
-  getattribute("particle:size", Size);
-  getattribute("particle:velocity", Velocity);
-  getattribute("particle:angular_velocity", AngularVelocity);
-}
diff --git a/intern/cycles/kernel/shaders/node_principled_bsdf.osl b/intern/cycles/kernel/shaders/node_principled_bsdf.osl
deleted file mode 100644
index 55afb892d36..00000000000
--- a/intern/cycles/kernel/shaders/node_principled_bsdf.osl
+++ /dev/null
@@ -1,157 +0,0 @@
-/*
- * Copyright 2011-2017 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_fresnel.h"
-#include "stdcycles.h"
-
-shader node_principled_bsdf(string distribution = "Multiscatter GGX",
-                            string subsurface_method = "random_walk",
-                            color BaseColor = color(0.8, 0.8, 0.8),
-                            float Subsurface = 0.0,
-                            vector SubsurfaceRadius = vector(1.0, 1.0, 1.0),
-                            color SubsurfaceColor = color(0.7, 0.1, 0.1),
-                            float SubsurfaceIOR = 1.4,
-                            float SubsurfaceAnisotropy = 0.0,
-                            float Metallic = 0.0,
-                            float Specular = 0.5,
-                            float SpecularTint = 0.0,
-                            float Roughness = 0.5,
-                            float Anisotropic = 0.0,
-                            float AnisotropicRotation = 0.0,
-                            float Sheen = 0.0,
-                            float SheenTint = 0.5,
-                            float Clearcoat = 0.0,
-                            float ClearcoatRoughness = 0.03,
-                            float IOR = 1.45,
-                            float Transmission = 0.0,
-                            float TransmissionRoughness = 0.0,
-                            normal Normal = N,
-                            normal ClearcoatNormal = N,
-                            normal Tangent = normalize(dPdu),
-                            output closure color BSDF = 0)
-{
-  float f = max(IOR, 1e-5);
-  float diffuse_weight = (1.0 - clamp(Metallic, 0.0, 1.0)) * (1.0 - clamp(Transmission, 0.0, 1.0));
-  float final_transmission = clamp(Transmission, 0.0, 1.0) * (1.0 - clamp(Metallic, 0.0, 1.0));
-  float specular_weight = (1.0 - final_transmission);
-
-  vector T = Tangent;
-
-  float m_cdlum = luminance(BaseColor);
-  color m_ctint = m_cdlum > 0.0 ? BaseColor / m_cdlum :
-                                  color(1.0, 1.0, 1.0);  // normalize lum. to isolate hue+sat
-
-  /* rotate tangent */
-  if (AnisotropicRotation != 0.0)
-    T = rotate(T, AnisotropicRotation * M_2PI, point(0.0, 0.0, 0.0), Normal);
-
-  if (diffuse_weight > 1e-5) {
-    if (Subsurface > 1e-5) {
-      color mixed_ss_base_color = SubsurfaceColor * Subsurface + BaseColor * (1.0 - Subsurface);
-
-      BSDF = mixed_ss_base_color * bssrdf(subsurface_method,
-                                          Normal,
-                                          Subsurface * SubsurfaceRadius,
-                                          mixed_ss_base_color,
-                                          "roughness",
-                                          Roughness,
-                                          "ior",
-                                          SubsurfaceIOR,
-                                          "anisotropy",
-                                          SubsurfaceAnisotropy);
-    }
-    else {
-      BSDF = BaseColor * principled_diffuse(Normal, Roughness);
-    }
-
-    if (Sheen > 1e-5) {
-      color sheen_color = color(1.0, 1.0, 1.0) * (1.0 - SheenTint) + m_ctint * SheenTint;
-
-      BSDF = BSDF + sheen_color * Sheen * principled_sheen(Normal);
-    }
-
-    BSDF = BSDF * diffuse_weight;
-  }
-
-  if (specular_weight > 1e-5) {
-    float aspect = sqrt(1.0 - Anisotropic * 0.9);
-    float r2 = Roughness * Roughness;
-
-    float alpha_x = r2 / aspect;
-    float alpha_y = r2 * aspect;
-
-    color tmp_col = color(1.0, 1.0, 1.0) * (1.0 - SpecularTint) + m_ctint * SpecularTint;
-
-    color Cspec0 = (Specular * 0.08 * tmp_col) * (1.0 - Metallic) + BaseColor * Metallic;
-
-    if (distribution == "GGX" || Roughness <= 0.075) {
-      BSDF = BSDF + specular_weight *
-                        microfacet_ggx_aniso_fresnel(Normal,
-                                                     T,
-                                                     alpha_x,
-                                                     alpha_y,
-                                                     (2.0 / (1.0 - sqrt(0.08 * Specular))) - 1.0,
-                                                     BaseColor,
-                                                     Cspec0);
-    }
-    else {
-      BSDF = BSDF + specular_weight * microfacet_multi_ggx_aniso_fresnel(
-                                          Normal,
-                                          T,
-                                          alpha_x,
-                                          alpha_y,
-                                          (2.0 / (1.0 - sqrt(0.08 * Specular))) - 1.0,
-                                          BaseColor,
-                                          Cspec0);
-    }
-  }
-
-  if (final_transmission > 1e-5) {
-    color Cspec0 = BaseColor * SpecularTint + color(1.0, 1.0, 1.0) * (1.0 - SpecularTint);
-    float eta = backfacing() ? 1.0 / f : f;
-
-    if (distribution == "GGX" || Roughness <= 5e-2) {
-      float cosNO = dot(Normal, I);
-      float Fr = fresnel_dielectric_cos(cosNO, eta);
-
-      float refl_roughness = Roughness;
-      if (Roughness <= 1e-2)
-        refl_roughness = 0.0;
-
-      float transmission_roughness = refl_roughness;
-      if (distribution == "GGX")
-        transmission_roughness = 1.0 - (1.0 - refl_roughness) * (1.0 - TransmissionRoughness);
-
-      BSDF = BSDF +
-             final_transmission *
-                 (Fr * microfacet_ggx_fresnel(
-                           Normal, refl_roughness * refl_roughness, eta, BaseColor, Cspec0) +
-                  (1.0 - Fr) * BaseColor *
-                      microfacet_ggx_refraction(
-                          Normal, transmission_roughness * transmission_roughness, eta));
-    }
-    else {
-      BSDF = BSDF +
-             final_transmission * microfacet_multi_ggx_glass_fresnel(
-                                      Normal, Roughness * Roughness, eta, BaseColor, Cspec0);
-    }
-  }
-
-  if (Clearcoat > 1e-5) {
-    BSDF = BSDF + principled_clearcoat(
-                      ClearcoatNormal, Clearcoat, ClearcoatRoughness * ClearcoatRoughness);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_principled_hair_bsdf.osl b/intern/cycles/kernel/shaders/node_principled_hair_bsdf.osl
deleted file mode 100644
index 4cf17e0e703..00000000000
--- a/intern/cycles/kernel/shaders/node_principled_hair_bsdf.osl
+++ /dev/null
@@ -1,105 +0,0 @@
-/*
- * Copyright 2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-color log3(color a)
-{
-  return color(log(a[0]), log(a[1]), log(a[2]));
-}
-
-color sigma_from_concentration(float eumelanin, float pheomelanin)
-{
-  return eumelanin * color(0.506, 0.841, 1.653) + pheomelanin * color(0.343, 0.733, 1.924);
-}
-
-color sigma_from_reflectance(color c, float azimuthal_roughness)
-{
-  float x = azimuthal_roughness;
-  float roughness_fac = (((((0.245 * x) + 5.574) * x - 10.73) * x + 2.532) * x - 0.215) * x +
-                        5.969;
-  color sigma = log3(c) / roughness_fac;
-  return sigma * sigma;
-}
-
-shader node_principled_hair_bsdf(color Color = color(0.017513, 0.005763, 0.002059),
-                                 float Melanin = 0.8,
-                                 float MelaninRedness = 1.0,
-                                 float RandomColor = 0.0,
-                                 color Tint = 1.0,
-                                 color AbsorptionCoefficient = color(0.245531, 0.52, 1.365),
-                                 normal Normal = Ng,
-                                 string parametrization = "Absorption coefficient",
-                                 float Offset = radians(2),
-                                 float Roughness = 0.3,
-                                 float RadialRoughness = 0.3,
-                                 float RandomRoughness = 0.0,
-                                 float Coat = 0.0,
-                                 float IOR = 1.55,
-                                 string AttrRandom = "geom:curve_random",
-                                 float Random = 0.0,
-
-                                 output closure color BSDF = 0)
-{
-  /* Get random value from curve in none is specified. */
-  float random_value = 0.0;
-
-  if (isconnected(Random)) {
-    random_value = Random;
-  }
-  else {
-    getattribute(AttrRandom, random_value);
-  }
-
-  /* Compute roughness. */
-  float factor_random_roughness = 1.0 + 2.0 * (random_value - 0.5) * RandomRoughness;
-  float m0_roughness = 1.0 - clamp(Coat, 0.0, 1.0);
-  float roughness = Roughness * factor_random_roughness;
-  float radial_roughness = RadialRoughness * factor_random_roughness;
-
-  /* Compute absorption. */
-  color sigma;
-
-  if (parametrization == "Absorption coefficient") {
-    sigma = AbsorptionCoefficient;
-  }
-  else if (parametrization == "Melanin concentration") {
-    /* Randomize melanin. */
-    float factor_random_color = 1.0 + 2.0 * (random_value - 0.5) * RandomColor;
-    float melanin = Melanin * factor_random_color;
-
-    /* Map melanin 0..inf from more perceptually linear 0..1. */
-    melanin = -log(max(1.0 - melanin, 0.0001));
-
-    /* Benedikt Bitterli's melanin ratio remapping. */
-    float eumelanin = melanin * (1.0 - MelaninRedness);
-    float pheomelanin = melanin * MelaninRedness;
-    color melanin_sigma = sigma_from_concentration(eumelanin, pheomelanin);
-
-    /* Optional tint. */
-    color tint_sigma = sigma_from_reflectance(Tint, radial_roughness);
-    sigma = melanin_sigma + tint_sigma;
-  }
-  else if (parametrization == "Direct coloring") {
-    sigma = sigma_from_reflectance(Color, radial_roughness);
-  }
-  else {
-    /* Fallback to brownish hair, same as defaults for melanin. */
-    sigma = sigma_from_concentration(0.0, 0.8054375);
-  }
-
-  BSDF = principled_hair(Normal, sigma, roughness, radial_roughness, m0_roughness, Offset, IOR);
-}
diff --git a/intern/cycles/kernel/shaders/node_principled_volume.osl b/intern/cycles/kernel/shaders/node_principled_volume.osl
deleted file mode 100644
index 0cb4cdebdaa..00000000000
--- a/intern/cycles/kernel/shaders/node_principled_volume.osl
+++ /dev/null
@@ -1,93 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_principled_volume(color Color = color(0.5, 0.5, 0.5),
-                              float Density = 1.0,
-                              float Anisotropy = 0.0,
-                              color AbsorptionColor = color(0.0, 0.0, 0.0),
-                              float EmissionStrength = 0.0,
-                              color EmissionColor = color(1.0, 1.0, 1.0),
-                              float BlackbodyIntensity = 0.0,
-                              color BlackbodyTint = color(1.0, 1.0, 1.0),
-                              float Temperature = 1500.0,
-                              string DensityAttribute = "geom:density",
-                              string ColorAttribute = "geom:color",
-                              string TemperatureAttribute = "geom:temperature",
-                              output closure color Volume = 0)
-{
-  /* Compute density. */
-  float primitive_density = 1.0;
-  float density = max(Density, 0.0);
-
-  if (density > 1e-5) {
-    if (getattribute(DensityAttribute, primitive_density)) {
-      density = max(density * primitive_density, 0.0);
-    }
-  }
-
-  if (density > 1e-5) {
-    /* Compute scattering color. */
-    color scatter_color = Color;
-    color primitive_color;
-    if (getattribute(ColorAttribute, primitive_color)) {
-      scatter_color *= primitive_color;
-    }
-
-    /* Add scattering and absorption closures. */
-    color scatter_coeff = scatter_color;
-    color absorption_color = sqrt(max(AbsorptionColor, 0.0));
-    color absorption_coeff = max(1.0 - scatter_color, 0.0) * max(1.0 - absorption_color, 0.0);
-    Volume = scatter_coeff * density * henyey_greenstein(Anisotropy) +
-             absorption_coeff * density * absorption();
-  }
-
-  /* Compute emission. */
-  float emission_strength = max(EmissionStrength, 0.0);
-  float blackbody_intensity = BlackbodyIntensity;
-
-  if (emission_strength > 1e-5) {
-    Volume += emission_strength * EmissionColor * emission();
-  }
-
-  if (blackbody_intensity > 1e-3) {
-    float T = Temperature;
-
-    /* Add temperature from attribute if available. */
-    float temperature;
-    if (getattribute(TemperatureAttribute, temperature)) {
-      T *= max(temperature, 0.0);
-    }
-
-    T = max(T, 0.0);
-
-    /* Stefan-Boltzman law. */
-    float T4 = (T * T) * (T * T);
-    float sigma = 5.670373e-8 * 1e-6 / M_PI;
-    float intensity = sigma * mix(1.0, T4, blackbody_intensity);
-
-    if (intensity > 1e-5) {
-      color bb = blackbody(T);
-      float l = luminance(bb);
-
-      if (l != 0.0) {
-        bb *= BlackbodyTint * intensity / l;
-        Volume += bb * emission();
-      }
-    }
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_ramp_util.h b/intern/cycles/kernel/shaders/node_ramp_util.h
deleted file mode 100644
index f7fb07b257d..00000000000
--- a/intern/cycles/kernel/shaders/node_ramp_util.h
+++ /dev/null
@@ -1,93 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-/* NOTE: svm_ramp.h, svm_ramp_util.h and node_ramp_util.h must stay consistent */
-
-color rgb_ramp_lookup(color ramp[], float at, int interpolate, int extrapolate)
-{
-  float f = at;
-  int table_size = arraylength(ramp);
-
-  if ((f < 0.0 || f > 1.0) && extrapolate) {
-    color t0, dy;
-    if (f < 0.0) {
-      t0 = ramp[0];
-      dy = t0 - ramp[1];
-      f = -f;
-    }
-    else {
-      t0 = ramp[table_size - 1];
-      dy = t0 - ramp[table_size - 2];
-      f = f - 1.0;
-    }
-    return t0 + dy * f * (table_size - 1);
-  }
-
-  f = clamp(at, 0.0, 1.0) * (table_size - 1);
-
-  /* clamp int as well in case of NaN */
-  int i = (int)f;
-  if (i < 0)
-    i = 0;
-  if (i >= table_size)
-    i = table_size - 1;
-  float t = f - (float)i;
-
-  color result = ramp[i];
-
-  if (interpolate && t > 0.0)
-    result = (1.0 - t) * result + t * ramp[i + 1];
-
-  return result;
-}
-
-float rgb_ramp_lookup(float ramp[], float at, int interpolate, int extrapolate)
-{
-  float f = at;
-  int table_size = arraylength(ramp);
-
-  if ((f < 0.0 || f > 1.0) && extrapolate) {
-    float t0, dy;
-    if (f < 0.0) {
-      t0 = ramp[0];
-      dy = t0 - ramp[1];
-      f = -f;
-    }
-    else {
-      t0 = ramp[table_size - 1];
-      dy = t0 - ramp[table_size - 2];
-      f = f - 1.0;
-    }
-    return t0 + dy * f * (table_size - 1);
-  }
-
-  f = clamp(at, 0.0, 1.0) * (table_size - 1);
-
-  /* clamp int as well in case of NaN */
-  int i = (int)f;
-  if (i < 0)
-    i = 0;
-  if (i >= table_size)
-    i = table_size - 1;
-  float t = f - (float)i;
-
-  float result = ramp[i];
-
-  if (interpolate && t > 0.0)
-    result = (1.0 - t) * result + t * ramp[i + 1];
-
-  return result;
-}
diff --git a/intern/cycles/kernel/shaders/node_refraction_bsdf.osl b/intern/cycles/kernel/shaders/node_refraction_bsdf.osl
deleted file mode 100644
index 9e9b31d9a87..00000000000
--- a/intern/cycles/kernel/shaders/node_refraction_bsdf.osl
+++ /dev/null
@@ -1,36 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_refraction_bsdf(color Color = 0.8,
-                            string distribution = "sharp",
-                            float Roughness = 0.2,
-                            float IOR = 1.45,
-                            normal Normal = N,
-                            output closure color BSDF = 0)
-{
-  float f = max(IOR, 1e-5);
-  float eta = backfacing() ? 1.0 / f : f;
-  float roughness = Roughness * Roughness;
-
-  if (distribution == "sharp")
-    BSDF = Color * refraction(Normal, eta);
-  else if (distribution == "beckmann")
-    BSDF = Color * microfacet_beckmann_refraction(Normal, roughness, eta);
-  else if (distribution == "GGX")
-    BSDF = Color * microfacet_ggx_refraction(Normal, roughness, eta);
-}
diff --git a/intern/cycles/kernel/shaders/node_rgb_curves.osl b/intern/cycles/kernel/shaders/node_rgb_curves.osl
deleted file mode 100644
index 8850040d580..00000000000
--- a/intern/cycles/kernel/shaders/node_rgb_curves.osl
+++ /dev/null
@@ -1,39 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_ramp_util.h"
-#include "stdcycles.h"
-
-shader node_rgb_curves(color ramp[] = {0.0},
-                       float min_x = 0.0,
-                       float max_x = 1.0,
-
-                       color ColorIn = 0.0,
-                       float Fac = 0.0,
-                       output color ColorOut = 0.0)
-{
-  color c = (ColorIn - color(min_x, min_x, min_x)) / (max_x - min_x);
-
-  color r = rgb_ramp_lookup(ramp, c[0], 1, 1);
-  color g = rgb_ramp_lookup(ramp, c[1], 1, 1);
-  color b = rgb_ramp_lookup(ramp, c[2], 1, 1);
-
-  ColorOut[0] = r[0];
-  ColorOut[1] = g[1];
-  ColorOut[2] = b[2];
-
-  ColorOut = mix(ColorIn, ColorOut, Fac);
-}
diff --git a/intern/cycles/kernel/shaders/node_rgb_ramp.osl b/intern/cycles/kernel/shaders/node_rgb_ramp.osl
deleted file mode 100644
index 2131edb2688..00000000000
--- a/intern/cycles/kernel/shaders/node_rgb_ramp.osl
+++ /dev/null
@@ -1,30 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_ramp_util.h"
-#include "stdcycles.h"
-
-shader node_rgb_ramp(color ramp_color[] = {0.0},
-                     float ramp_alpha[] = {0.0},
-                     int interpolate = 1,
-
-                     float Fac = 0.0,
-                     output color Color = 0.0,
-                     output float Alpha = 1.0)
-{
-  Color = rgb_ramp_lookup(ramp_color, Fac, interpolate, 0);
-  Alpha = rgb_ramp_lookup(ramp_alpha, Fac, interpolate, 0);
-}
diff --git a/intern/cycles/kernel/shaders/node_rgb_to_bw.osl b/intern/cycles/kernel/shaders/node_rgb_to_bw.osl
deleted file mode 100644
index f0a094d5b57..00000000000
--- a/intern/cycles/kernel/shaders/node_rgb_to_bw.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_rgb_to_bw(color Color = 0.0, output float Val = 0.0)
-{
-  Val = Color[0] * 0.2126 + Color[1] * 0.7152 + Color[2] * 0.0722;
-}
diff --git a/intern/cycles/kernel/shaders/node_scatter_volume.osl b/intern/cycles/kernel/shaders/node_scatter_volume.osl
deleted file mode 100644
index 36ad952dee6..00000000000
--- a/intern/cycles/kernel/shaders/node_scatter_volume.osl
+++ /dev/null
@@ -1,25 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_scatter_volume(color Color = color(0.8, 0.8, 0.8),
-                           float Density = 1.0,
-                           float Anisotropy = 0.0,
-                           output closure color Volume = 0)
-{
-  Volume = (Color * max(Density, 0.0)) * henyey_greenstein(Anisotropy);
-}
diff --git a/intern/cycles/kernel/shaders/node_separate_hsv.osl b/intern/cycles/kernel/shaders/node_separate_hsv.osl
deleted file mode 100644
index 2f902b72dbc..00000000000
--- a/intern/cycles/kernel/shaders/node_separate_hsv.osl
+++ /dev/null
@@ -1,30 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_color.h"
-#include "stdcycles.h"
-
-shader node_separate_hsv(color Color = 0.8,
-                         output float H = 0.0,
-                         output float S = 0.0,
-                         output float V = 0.0)
-{
-  color col = rgb_to_hsv(Color);
-
-  H = col[0];
-  S = col[1];
-  V = col[2];
-}
diff --git a/intern/cycles/kernel/shaders/node_separate_rgb.osl b/intern/cycles/kernel/shaders/node_separate_rgb.osl
deleted file mode 100644
index 62e4aedb879..00000000000
--- a/intern/cycles/kernel/shaders/node_separate_rgb.osl
+++ /dev/null
@@ -1,27 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_separate_rgb(color Image = 0.8,
-                         output float R = 0.0,
-                         output float G = 0.0,
-                         output float B = 0.0)
-{
-  R = Image[0];
-  G = Image[1];
-  B = Image[2];
-}
diff --git a/intern/cycles/kernel/shaders/node_separate_xyz.osl b/intern/cycles/kernel/shaders/node_separate_xyz.osl
deleted file mode 100644
index acaf3942b6f..00000000000
--- a/intern/cycles/kernel/shaders/node_separate_xyz.osl
+++ /dev/null
@@ -1,27 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_separate_xyz(vector Vector = 0.8,
-                         output float X = 0.0,
-                         output float Y = 0.0,
-                         output float Z = 0.0)
-{
-  X = Vector[0];
-  Y = Vector[1];
-  Z = Vector[2];
-}
diff --git a/intern/cycles/kernel/shaders/node_set_normal.osl b/intern/cycles/kernel/shaders/node_set_normal.osl
deleted file mode 100644
index 26a97e2b5d1..00000000000
--- a/intern/cycles/kernel/shaders/node_set_normal.osl
+++ /dev/null
@@ -1,23 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-surface node_set_normal(normal Direction = N, output normal Normal = N)
-{
-  N = Direction;
-  Normal = Direction;
-}
diff --git a/intern/cycles/kernel/shaders/node_sky_texture.osl b/intern/cycles/kernel/shaders/node_sky_texture.osl
deleted file mode 100644
index 43d7bd36973..00000000000
--- a/intern/cycles/kernel/shaders/node_sky_texture.osl
+++ /dev/null
@@ -1,237 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_color.h"
-#include "stdcycles.h"
-
-float sky_angle_between(float thetav, float phiv, float theta, float phi)
-{
-  float cospsi = sin(thetav) * sin(theta) * cos(phi - phiv) + cos(thetav) * cos(theta);
-
-  if (cospsi > 1.0)
-    return 0.0;
-  if (cospsi < -1.0)
-    return M_PI;
-
-  return acos(cospsi);
-}
-
-vector sky_spherical_coordinates(vector dir)
-{
-  return vector(acos(dir[2]), atan2(dir[0], dir[1]), 0);
-}
-
-/* Preetham */
-float sky_perez_function(float lam[9], float theta, float gamma)
-{
-  float ctheta = cos(theta);
-  float cgamma = cos(gamma);
-
-  return (1.0 + lam[0] * exp(lam[1] / ctheta)) *
-         (1.0 + lam[2] * exp(lam[3] * gamma) + lam[4] * cgamma * cgamma);
-}
-
-color sky_radiance_preetham(normal dir,
-                            float sunphi,
-                            float suntheta,
-                            color radiance,
-                            float config_x[9],
-                            float config_y[9],
-                            float config_z[9])
-{
-  /* convert vector to spherical coordinates */
-  vector spherical = sky_spherical_coordinates(dir);
-  float theta = spherical[0];
-  float phi = spherical[1];
-
-  /* angle between sun direction and dir */
-  float gamma = sky_angle_between(theta, phi, suntheta, sunphi);
-
-  /* clamp theta to horizon */
-  theta = min(theta, M_PI_2 - 0.001);
-
-  /* compute xyY color space values */
-  float x = radiance[1] * sky_perez_function(config_y, theta, gamma);
-  float y = radiance[2] * sky_perez_function(config_z, theta, gamma);
-  float Y = radiance[0] * sky_perez_function(config_x, theta, gamma);
-
-  /* convert to RGB */
-  color xyz = xyY_to_xyz(x, y, Y);
-  return xyz_to_rgb(xyz[0], xyz[1], xyz[2]);
-}
-
-/* Hosek / Wilkie */
-float sky_radiance_internal(float config[9], float theta, float gamma)
-{
-  float ctheta = cos(theta);
-  float cgamma = cos(gamma);
-
-  float expM = exp(config[4] * gamma);
-  float rayM = cgamma * cgamma;
-  float mieM = (1.0 + rayM) / pow((1.0 + config[8] * config[8] - 2.0 * config[8] * cgamma), 1.5);
-  float zenith = sqrt(ctheta);
-
-  return (1.0 + config[0] * exp(config[1] / (ctheta + 0.01))) *
-         (config[2] + config[3] * expM + config[5] * rayM + config[6] * mieM + config[7] * zenith);
-}
-
-color sky_radiance_hosek(normal dir,
-                         float sunphi,
-                         float suntheta,
-                         color radiance,
-                         float config_x[9],
-                         float config_y[9],
-                         float config_z[9])
-{
-  /* convert vector to spherical coordinates */
-  vector spherical = sky_spherical_coordinates(dir);
-  float theta = spherical[0];
-  float phi = spherical[1];
-
-  /* angle between sun direction and dir */
-  float gamma = sky_angle_between(theta, phi, suntheta, sunphi);
-
-  /* clamp theta to horizon */
-  theta = min(theta, M_PI_2 - 0.001);
-
-  /* compute xyz color space values */
-  float x = sky_radiance_internal(config_x, theta, gamma) * radiance[0];
-  float y = sky_radiance_internal(config_y, theta, gamma) * radiance[1];
-  float z = sky_radiance_internal(config_z, theta, gamma) * radiance[2];
-
-  /* convert to RGB and adjust strength */
-  return xyz_to_rgb(x, y, z) * (M_2PI / 683);
-}
-
-/* Nishita improved */
-vector geographical_to_direction(float lat, float lon)
-{
-  return vector(cos(lat) * cos(lon), cos(lat) * sin(lon), sin(lat));
-}
-
-float precise_angle(vector a, vector b)
-{
-  return 2.0 * atan2(length(a - b), length(a + b));
-}
-
-color sky_radiance_nishita(vector dir, float nishita_data[10], string filename)
-{
-  /* definitions */
-  float sun_elevation = nishita_data[6];
-  float sun_rotation = nishita_data[7];
-  float angular_diameter = nishita_data[8];
-  float sun_intensity = nishita_data[9];
-  int sun_disc = angular_diameter > 0;
-  float alpha = 1.0;
-  color xyz;
-  /* convert dir to spherical coordinates */
-  vector direction = sky_spherical_coordinates(dir);
-
-  /* render above the horizon */
-  if (dir[2] >= 0.0) {
-    /* definitions */
-    vector sun_dir = geographical_to_direction(sun_elevation, sun_rotation + M_PI_2);
-    float sun_dir_angle = precise_angle(dir, sun_dir);
-    float half_angular = angular_diameter / 2.0;
-    float dir_elevation = M_PI_2 - direction[0];
-
-    /* if ray inside sun disc render it, otherwise render sky */
-    if (sun_dir_angle < half_angular && sun_disc == 1) {
-      /* get 2 pixels data */
-      color pixel_bottom = color(nishita_data[0], nishita_data[1], nishita_data[2]);
-      color pixel_top = color(nishita_data[3], nishita_data[4], nishita_data[5]);
-      float y;
-
-      /* sun interpolation */
-      if (sun_elevation - half_angular > 0.0) {
-        if ((sun_elevation + half_angular) > 0.0) {
-          y = ((dir_elevation - sun_elevation) / angular_diameter) + 0.5;
-          xyz = mix(pixel_bottom, pixel_top, y) * sun_intensity;
-        }
-      }
-      else {
-        if (sun_elevation + half_angular > 0.0) {
-          y = dir_elevation / (sun_elevation + half_angular);
-          xyz = mix(pixel_bottom, pixel_top, y) * sun_intensity;
-        }
-      }
-      /* limb darkening, coefficient is 0.6f */
-      float angle_fraction = sun_dir_angle / half_angular;
-      float limb_darkening = (1.0 - 0.6 * (1.0 - sqrt(1.0 - angle_fraction * angle_fraction)));
-      xyz *= limb_darkening;
-    }
-    /* sky */
-    else {
-      /* sky interpolation */
-      float x = (direction[1] + M_PI + sun_rotation) / M_2PI;
-      /* more pixels toward horizon compensation */
-      float y = 1.0 - sqrt(dir_elevation / M_PI_2);
-      if (x > 1.0) {
-        x = x - 1.0;
-      }
-      xyz = (color)texture(filename, x, y, "wrap", "clamp", "interp", "linear", "alpha", alpha);
-    }
-  }
-  /* ground */
-  else {
-    if (dir[2] < -0.4) {
-      xyz = color(0, 0, 0);
-    }
-    else {
-      /* black ground fade */
-      float mul = pow(1.0 + dir[2] * 2.5, 3.0);
-      /* interpolation */
-      float x = (direction[1] + M_PI + sun_rotation) / M_2PI;
-      float y = 1.5;
-      if (x > 1.0) {
-        x = x - 1.0;
-      }
-      xyz = (color)texture(
-                filename, x, y, "wrap", "periodic", "interp", "linear", "alpha", alpha) *
-            mul;
-    }
-  }
-  /* convert to RGB */
-  return xyz_to_rgb(xyz[0], xyz[1], xyz[2]);
-}
-
-shader node_sky_texture(
-    int use_mapping = 0,
-    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-    vector Vector = P,
-    string sky_type = "hosek_wilkie",
-    float theta = 0.0,
-    float phi = 0.0,
-    string filename = "",
-    color radiance = color(0.0, 0.0, 0.0),
-    float config_x[9] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
-    float config_y[9] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
-    float config_z[9] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
-    float nishita_data[10] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
-    output color Color = color(0.0, 0.0, 0.0))
-{
-  vector p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  if (sky_type == "nishita_improved")
-    Color = sky_radiance_nishita(p, nishita_data, filename);
-  if (sky_type == "hosek_wilkie")
-    Color = sky_radiance_hosek(p, phi, theta, radiance, config_x, config_y, config_z);
-  if (sky_type == "preetham")
-    Color = sky_radiance_preetham(p, phi, theta, radiance, config_x, config_y, config_z);
-}
diff --git a/intern/cycles/kernel/shaders/node_subsurface_scattering.osl b/intern/cycles/kernel/shaders/node_subsurface_scattering.osl
deleted file mode 100644
index f55e38c54ff..00000000000
--- a/intern/cycles/kernel/shaders/node_subsurface_scattering.osl
+++ /dev/null
@@ -1,30 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_subsurface_scattering(color Color = 0.8,
-                                  float Scale = 1.0,
-                                  vector Radius = vector(0.1, 0.1, 0.1),
-                                  float IOR = 1.4,
-                                  float Anisotropy = 0.0,
-                                  string method = "random_walk",
-                                  normal Normal = N,
-                                  output closure color BSSRDF = 0)
-{
-  BSSRDF = Color *
-           bssrdf(method, Normal, Scale * Radius, Color, "ior", IOR, "anisotropy", Anisotropy);
-}
diff --git a/intern/cycles/kernel/shaders/node_tangent.osl b/intern/cycles/kernel/shaders/node_tangent.osl
deleted file mode 100644
index f086fa079ec..00000000000
--- a/intern/cycles/kernel/shaders/node_tangent.osl
+++ /dev/null
@@ -1,46 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_tangent(normal NormalIn = N,
-                    string attr_name = "geom:tangent",
-                    string direction_type = "radial",
-                    string axis = "z",
-                    output normal Tangent = normalize(dPdu))
-{
-  vector T = vector(0.0, 0.0, 0.0);
-
-  if (direction_type == "uv_map") {
-    getattribute(attr_name, T);
-  }
-  else if (direction_type == "radial") {
-    point generated;
-
-    if (!getattribute("geom:generated", generated))
-      generated = P;
-
-    if (axis == "x")
-      T = vector(0.0, -(generated[2] - 0.5), (generated[1] - 0.5));
-    else if (axis == "y")
-      T = vector(-(generated[2] - 0.5), 0.0, (generated[0] - 0.5));
-    else
-      T = vector(-(generated[1] - 0.5), (generated[0] - 0.5), 0.0);
-  }
-
-  T = transform("object", "world", T);
-  Tangent = cross(NormalIn, normalize(cross(T, NormalIn)));
-}
diff --git a/intern/cycles/kernel/shaders/node_texture_coordinate.osl b/intern/cycles/kernel/shaders/node_texture_coordinate.osl
deleted file mode 100644
index 9cdb925dbfa..00000000000
--- a/intern/cycles/kernel/shaders/node_texture_coordinate.osl
+++ /dev/null
@@ -1,99 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_texture_coordinate(
-    normal NormalIn = N,
-    int is_background = 0,
-    int is_volume = 0,
-    int from_dupli = 0,
-    int use_transform = 0,
-    string bump_offset = "center",
-    matrix object_itfm = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-
-    output point Generated = point(0.0, 0.0, 0.0),
-    output point UV = point(0.0, 0.0, 0.0),
-    output point Object = point(0.0, 0.0, 0.0),
-    output point Camera = point(0.0, 0.0, 0.0),
-    output point Window = point(0.0, 0.0, 0.0),
-    output normal Normal = normal(0.0, 0.0, 0.0),
-    output point Reflection = point(0.0, 0.0, 0.0))
-{
-  if (is_background) {
-    Generated = P;
-    UV = point(0.0, 0.0, 0.0);
-    Object = P;
-    point Pcam = transform("camera", "world", point(0, 0, 0));
-    Camera = transform("camera", P + Pcam);
-    getattribute("NDC", Window);
-    Normal = NormalIn;
-    Reflection = I;
-  }
-  else {
-    if (from_dupli) {
-      getattribute("geom:dupli_generated", Generated);
-      getattribute("geom:dupli_uv", UV);
-    }
-    else if (is_volume) {
-      Generated = transform("object", P);
-
-      matrix tfm;
-      if (getattribute("geom:generated_transform", tfm))
-        Generated = transform(tfm, Generated);
-
-      getattribute("geom:uv", UV);
-    }
-    else {
-      if (!getattribute("geom:generated", Generated)) {
-        Generated = transform("object", P);
-      }
-      getattribute("geom:uv", UV);
-    }
-
-    if (use_transform) {
-      Object = transform(object_itfm, P);
-    }
-    else {
-      Object = transform("object", P);
-    }
-    Camera = transform("camera", P);
-    Window = transform("NDC", P);
-    Normal = transform("world", "object", NormalIn);
-    Reflection = -reflect(I, NormalIn);
-  }
-
-  if (bump_offset == "dx") {
-    if (!from_dupli) {
-      Generated += Dx(Generated);
-      UV += Dx(UV);
-    }
-    Object += Dx(Object);
-    Camera += Dx(Camera);
-    Window += Dx(Window);
-  }
-  else if (bump_offset == "dy") {
-    if (!from_dupli) {
-      Generated += Dy(Generated);
-      UV += Dy(UV);
-    }
-    Object += Dy(Object);
-    Camera += Dy(Camera);
-    Window += Dy(Window);
-  }
-
-  Window[2] = 0.0;
-}
diff --git a/intern/cycles/kernel/shaders/node_toon_bsdf.osl b/intern/cycles/kernel/shaders/node_toon_bsdf.osl
deleted file mode 100644
index 4a44730c70c..00000000000
--- a/intern/cycles/kernel/shaders/node_toon_bsdf.osl
+++ /dev/null
@@ -1,30 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_toon_bsdf(color Color = 0.8,
-                      string component = "diffuse",
-                      float Size = 0.5,
-                      float Smooth = 0.0,
-                      normal Normal = N,
-                      output closure color BSDF = 0)
-{
-  if (component == "diffuse")
-    BSDF = Color * diffuse_toon(Normal, Size, Smooth);
-  else if (component == "glossy")
-    BSDF = Color * glossy_toon(Normal, Size, Smooth);
-}
diff --git a/intern/cycles/kernel/shaders/node_translucent_bsdf.osl b/intern/cycles/kernel/shaders/node_translucent_bsdf.osl
deleted file mode 100644
index 23a562bf34d..00000000000
--- a/intern/cycles/kernel/shaders/node_translucent_bsdf.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_translucent_bsdf(color Color = 0.8, normal Normal = N, output closure color BSDF = 0)
-{
-  BSDF = Color * translucent(Normal);
-}
diff --git a/intern/cycles/kernel/shaders/node_transparent_bsdf.osl b/intern/cycles/kernel/shaders/node_transparent_bsdf.osl
deleted file mode 100644
index eb737a05c41..00000000000
--- a/intern/cycles/kernel/shaders/node_transparent_bsdf.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_transparent_bsdf(color Color = 0.8, normal Normal = N, output closure color BSDF = 0)
-{
-  BSDF = Color * transparent();
-}
diff --git a/intern/cycles/kernel/shaders/node_uv_map.osl b/intern/cycles/kernel/shaders/node_uv_map.osl
deleted file mode 100644
index 88d8c5ba394..00000000000
--- a/intern/cycles/kernel/shaders/node_uv_map.osl
+++ /dev/null
@@ -1,44 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_uv_map(int from_dupli = 0,
-                   string attribute = "",
-                   string bump_offset = "center",
-                   output point UV = point(0.0, 0.0, 0.0))
-{
-  if (from_dupli) {
-    getattribute("geom:dupli_uv", UV);
-  }
-  else {
-    if (attribute == "")
-      getattribute("geom:uv", UV);
-    else
-      getattribute(attribute, UV);
-  }
-
-  if (bump_offset == "dx") {
-    if (!from_dupli) {
-      UV += Dx(UV);
-    }
-  }
-  else if (bump_offset == "dy") {
-    if (!from_dupli) {
-      UV += Dy(UV);
-    }
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_value.osl b/intern/cycles/kernel/shaders/node_value.osl
deleted file mode 100644
index 13197b9a27a..00000000000
--- a/intern/cycles/kernel/shaders/node_value.osl
+++ /dev/null
@@ -1,29 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_value(float value_value = 0.0,
-                  vector vector_value = vector(0.0, 0.0, 0.0),
-                  color color_value = 0.0,
-                  output float Value = 0.0,
-                  output vector Vector = vector(0.0, 0.0, 0.0),
-                  output color Color = 0.0)
-{
-  Value = value_value;
-  Vector = vector_value;
-  Color = color_value;
-}
diff --git a/intern/cycles/kernel/shaders/node_vector_curves.osl b/intern/cycles/kernel/shaders/node_vector_curves.osl
deleted file mode 100644
index 9d3a2b82b0a..00000000000
--- a/intern/cycles/kernel/shaders/node_vector_curves.osl
+++ /dev/null
@@ -1,39 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_ramp_util.h"
-#include "stdcycles.h"
-
-shader node_vector_curves(color ramp[] = {0.0},
-                          float min_x = 0.0,
-                          float max_x = 1.0,
-
-                          vector VectorIn = vector(0.0, 0.0, 0.0),
-                          float Fac = 0.0,
-                          output vector VectorOut = vector(0.0, 0.0, 0.0))
-{
-  vector c = (VectorIn - vector(min_x, min_x, min_x)) / (max_x - min_x);
-
-  color r = rgb_ramp_lookup(ramp, c[0], 1, 1);
-  color g = rgb_ramp_lookup(ramp, c[0], 1, 1);
-  color b = rgb_ramp_lookup(ramp, c[0], 1, 1);
-
-  VectorOut[0] = r[0];
-  VectorOut[1] = g[1];
-  VectorOut[2] = b[2];
-
-  VectorOut = mix(VectorIn, VectorOut, Fac);
-}
diff --git a/intern/cycles/kernel/shaders/node_vector_displacement.osl b/intern/cycles/kernel/shaders/node_vector_displacement.osl
deleted file mode 100644
index 7cd9c2a37f2..00000000000
--- a/intern/cycles/kernel/shaders/node_vector_displacement.osl
+++ /dev/null
@@ -1,58 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_vector_displacement(color Vector = color(0.0, 0.0, 0.0),
-                                float Midlevel = 0.0,
-                                float Scale = 1.0,
-                                string space = "tangent",
-                                string attr_name = "geom:tangent",
-                                string attr_sign_name = "geom:tangent_sign",
-                                output vector Displacement = vector(0.0, 0.0, 0.0))
-{
-  vector offset = (Vector - vector(Midlevel)) * Scale;
-
-  if (space == "tangent") {
-    /* Tangent space. */
-    vector N_object = normalize(transform("world", "object", N));
-
-    vector T_object;
-    if (getattribute(attr_name, T_object)) {
-      T_object = normalize(T_object);
-    }
-    else {
-      T_object = normalize(dPdu);
-    }
-
-    vector B_object = normalize(cross(N_object, T_object));
-    float tangent_sign;
-    if (getattribute(attr_sign_name, tangent_sign)) {
-      B_object *= tangent_sign;
-    }
-
-    Displacement = T_object * offset[0] + N_object * offset[1] + B_object * offset[2];
-  }
-  else {
-    /* Object or world space. */
-    Displacement = offset;
-  }
-
-  if (space != "world") {
-    /* Tangent or object space. */
-    Displacement = transform("object", "world", Displacement);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_vector_math.osl b/intern/cycles/kernel/shaders/node_vector_math.osl
deleted file mode 100644
index c08d75b99ef..00000000000
--- a/intern/cycles/kernel/shaders/node_vector_math.osl
+++ /dev/null
@@ -1,112 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_math.h"
-#include "stdcycles.h"
-
-shader node_vector_math(string math_type = "add",
-                        vector Vector1 = vector(0.0, 0.0, 0.0),
-                        vector Vector2 = vector(0.0, 0.0, 0.0),
-                        vector Vector3 = vector(0.0, 0.0, 0.0),
-                        float Scale = 1.0,
-                        output float Value = 0.0,
-                        output vector Vector = vector(0.0, 0.0, 0.0))
-{
-  if (math_type == "add") {
-    Vector = Vector1 + Vector2;
-  }
-  else if (math_type == "subtract") {
-    Vector = Vector1 - Vector2;
-  }
-  else if (math_type == "multiply") {
-    Vector = Vector1 * Vector2;
-  }
-  else if (math_type == "divide") {
-    Vector = safe_divide(Vector1, Vector2);
-  }
-  else if (math_type == "cross_product") {
-    Vector = cross(Vector1, Vector2);
-  }
-  else if (math_type == "project") {
-    Vector = project(Vector1, Vector2);
-  }
-  else if (math_type == "reflect") {
-    Vector = reflect(Vector1, normalize(Vector2));
-  }
-  else if (math_type == "refract") {
-    Vector = refract(Vector1, normalize(Vector2), Scale);
-  }
-  else if (math_type == "faceforward") {
-    Vector = compatible_faceforward(Vector1, Vector2, Vector3);
-  }
-  else if (math_type == "multiply_add") {
-    Vector = Vector1 * Vector2 + Vector3;
-  }
-  else if (math_type == "dot_product") {
-    Value = dot(Vector1, Vector2);
-  }
-  else if (math_type == "distance") {
-    Value = distance(Vector1, Vector2);
-  }
-  else if (math_type == "length") {
-    Value = length(Vector1);
-  }
-  else if (math_type == "scale") {
-    Vector = Vector1 * Scale;
-  }
-  else if (math_type == "normalize") {
-    Vector = normalize(Vector1);
-  }
-  else if (math_type == "snap") {
-    Vector = snap(Vector1, Vector2);
-  }
-  else if (math_type == "floor") {
-    Vector = floor(Vector1);
-  }
-  else if (math_type == "ceil") {
-    Vector = ceil(Vector1);
-  }
-  else if (math_type == "modulo") {
-    Vector = fmod(Vector1, Vector2);
-  }
-  else if (math_type == "wrap") {
-    Vector = wrap(Vector1, Vector2, Vector3);
-  }
-  else if (math_type == "fraction") {
-    Vector = Vector1 - floor(Vector1);
-  }
-  else if (math_type == "absolute") {
-    Vector = abs(Vector1);
-  }
-  else if (math_type == "minimum") {
-    Vector = min(Vector1, Vector2);
-  }
-  else if (math_type == "maximum") {
-    Vector = max(Vector1, Vector2);
-  }
-  else if (math_type == "sine") {
-    Vector = sin(Vector1);
-  }
-  else if (math_type == "cosine") {
-    Vector = cos(Vector1);
-  }
-  else if (math_type == "tangent") {
-    Vector = tan(Vector1);
-  }
-  else {
-    warning("%s", "Unknown vector math operator!");
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_vector_rotate.osl b/intern/cycles/kernel/shaders/node_vector_rotate.osl
deleted file mode 100644
index e99bf7d81b0..00000000000
--- a/intern/cycles/kernel/shaders/node_vector_rotate.osl
+++ /dev/null
@@ -1,49 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_math.h"
-#include "stdcycles.h"
-
-shader node_vector_rotate(int invert = 0,
-                          string rotate_type = "axis",
-                          vector VectorIn = vector(0.0, 0.0, 0.0),
-                          point Center = point(0.0, 0.0, 0.0),
-                          point Rotation = point(0.0, 0.0, 0.0),
-                          vector Axis = vector(0.0, 0.0, 1.0),
-                          float Angle = 0.0,
-                          output vector VectorOut = vector(0.0, 0.0, 0.0))
-{
-  if (rotate_type == "euler_xyz") {
-    matrix rmat = (invert) ? transpose(euler_to_mat(Rotation)) : euler_to_mat(Rotation);
-    VectorOut = transform(rmat, VectorIn - Center) + Center;
-  }
-  else {
-    float a = (invert) ? -Angle : Angle;
-    if (rotate_type == "x_axis") {
-      VectorOut = rotate(VectorIn - Center, a, point(0.0), vector(1.0, 0.0, 0.0)) + Center;
-    }
-    else if (rotate_type == "y_axis") {
-      VectorOut = rotate(VectorIn - Center, a, point(0.0), vector(0.0, 1.0, 0.0)) + Center;
-    }
-    else if (rotate_type == "z_axis") {
-      VectorOut = rotate(VectorIn - Center, a, point(0.0), vector(0.0, 0.0, 1.0)) + Center;
-    }
-    else {  // axis
-      VectorOut = (length(Axis) != 0.0) ? rotate(VectorIn - Center, a, point(0.0), Axis) + Center :
-                                          VectorIn;
-    }
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_vector_transform.osl b/intern/cycles/kernel/shaders/node_vector_transform.osl
deleted file mode 100644
index b71c6ec4824..00000000000
--- a/intern/cycles/kernel/shaders/node_vector_transform.osl
+++ /dev/null
@@ -1,34 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_vector_transform(string transform_type = "vector",
-                             string convert_from = "world",
-                             string convert_to = "object",
-                             vector VectorIn = vector(0.0, 0.0, 0.0),
-                             output vector VectorOut = vector(0.0, 0.0, 0.0))
-{
-  if (transform_type == "vector" || transform_type == "normal") {
-    VectorOut = transform(convert_from, convert_to, VectorIn);
-    if (transform_type == "normal")
-      VectorOut = normalize(VectorOut);
-  }
-  else if (transform_type == "point") {
-    point Point = (point)VectorIn;
-    VectorOut = transform(convert_from, convert_to, Point);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_velvet_bsdf.osl b/intern/cycles/kernel/shaders/node_velvet_bsdf.osl
deleted file mode 100644
index 299acef35ee..00000000000
--- a/intern/cycles/kernel/shaders/node_velvet_bsdf.osl
+++ /dev/null
@@ -1,28 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_fresnel.h"
-#include "stdcycles.h"
-
-shader node_velvet_bsdf(color Color = 0.8,
-                        float Sigma = 0.0,
-                        normal Normal = N,
-                        output closure color BSDF = 0)
-{
-  float sigma = clamp(Sigma, 0.0, 1.0);
-
-  BSDF = Color * ashikhmin_velvet(Normal, sigma);
-}
diff --git a/intern/cycles/kernel/shaders/node_vertex_color.osl b/intern/cycles/kernel/shaders/node_vertex_color.osl
deleted file mode 100644
index ffaf7a2f720..00000000000
--- a/intern/cycles/kernel/shaders/node_vertex_color.osl
+++ /dev/null
@@ -1,50 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_vertex_color(string bump_offset = "center",
-                         string layer_name = "",
-                         output color Color = 0.0,
-                         output float Alpha = 0.0)
-{
-  float vertex_color[4];
-  string vertex_color_layer;
-
-  if (layer_name == "") {
-    vertex_color_layer = "geom:vertex_color";
-  }
-  else {
-    vertex_color_layer = layer_name;
-  }
-
-  if (getattribute(vertex_color_layer, vertex_color)) {
-    Color = color(vertex_color[0], vertex_color[1], vertex_color[2]);
-    Alpha = vertex_color[3];
-
-    if (bump_offset == "dx") {
-      Color += Dx(Color);
-      Alpha += Dx(Alpha);
-    }
-    else if (bump_offset == "dy") {
-      Color += Dy(Color);
-      Alpha += Dy(Alpha);
-    }
-  }
-  else {
-    warning("%s", "Invalid attribute.");
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_voronoi_texture.osl b/intern/cycles/kernel/shaders/node_voronoi_texture.osl
deleted file mode 100644
index de6c697fc85..00000000000
--- a/intern/cycles/kernel/shaders/node_voronoi_texture.osl
+++ /dev/null
@@ -1,1031 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_hash.h"
-#include "stdcycles.h"
-#include "vector2.h"
-#include "vector4.h"
-
-#define vector3 point
-
-/* **** Distance Functions **** */
-
-float distance(float a, float b)
-{
-  return abs(a - b);
-}
-
-float distance(vector2 a, vector2 b)
-{
-  return length(a - b);
-}
-
-float distance(vector4 a, vector4 b)
-{
-  return length(a - b);
-}
-
-/* **** Safe Division **** */
-
-vector2 safe_divide(vector2 a, float b)
-{
-  return vector2((b != 0.0) ? a.x / b : 0.0, (b != 0.0) ? a.y / b : 0.0);
-}
-
-vector4 safe_divide(vector4 a, float b)
-{
-  return vector4((b != 0.0) ? a.x / b : 0.0,
-                 (b != 0.0) ? a.y / b : 0.0,
-                 (b != 0.0) ? a.z / b : 0.0,
-                 (b != 0.0) ? a.w / b : 0.0);
-}
-
-/*
- * Original code is under the MIT License, Copyright (c) 2013 Inigo Quilez.
- *
- * Smooth Voronoi:
- * - https://wiki.blender.org/wiki/User:OmarSquircleArt/GSoC2019/Documentation/Smooth_Voronoi
- *
- * Distance To Edge based on:
- *
- * - https://www.iquilezles.org/www/articles/voronoilines/voronoilines.htm
- * - https://www.shadertoy.com/view/ldl3W8
- *
- * With optimization to change -2..2 scan window to -1..1 for better performance,
- * as explained in https://www.shadertoy.com/view/llG3zy.
- */
-
-/* **** 1D Voronoi **** */
-
-float voronoi_distance(float a, float b, string metric, float exponent)
-{
-  return abs(a - b);
-}
-
-void voronoi_f1_1d(float w,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output float outW)
-{
-  float cellPosition = floor(w);
-  float localPosition = w - cellPosition;
-
-  float minDistance = 8.0;
-  float targetOffset, targetPosition;
-  for (int i = -1; i <= 1; i++) {
-    float cellOffset = float(i);
-    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
-    float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-    if (distanceToPoint < minDistance) {
-      targetOffset = cellOffset;
-      minDistance = distanceToPoint;
-      targetPosition = pointPosition;
-    }
-  }
-  outDistance = minDistance;
-  outColor = hash_float_to_color(cellPosition + targetOffset);
-  outW = targetPosition + cellPosition;
-}
-
-void voronoi_smooth_f1_1d(float w,
-                          float smoothness,
-                          float exponent,
-                          float randomness,
-                          string metric,
-                          output float outDistance,
-                          output color outColor,
-                          output float outW)
-{
-  float cellPosition = floor(w);
-  float localPosition = w - cellPosition;
-
-  float smoothDistance = 8.0;
-  float smoothPosition = 0.0;
-  color smoothColor = color(0.0);
-  for (int i = -2; i <= 2; i++) {
-    float cellOffset = float(i);
-    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
-    float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-    float h = smoothstep(0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
-    float correctionFactor = smoothness * h * (1.0 - h);
-    smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
-    correctionFactor /= 1.0 + 3.0 * smoothness;
-    color cellColor = hash_float_to_color(cellPosition + cellOffset);
-    smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
-    smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
-  }
-  outDistance = smoothDistance;
-  outColor = smoothColor;
-  outW = cellPosition + smoothPosition;
-}
-
-void voronoi_f2_1d(float w,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output float outW)
-{
-  float cellPosition = floor(w);
-  float localPosition = w - cellPosition;
-
-  float distanceF1 = 8.0;
-  float distanceF2 = 8.0;
-  float offsetF1 = 0.0;
-  float positionF1 = 0.0;
-  float offsetF2, positionF2;
-  for (int i = -1; i <= 1; i++) {
-    float cellOffset = float(i);
-    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
-    float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-    if (distanceToPoint < distanceF1) {
-      distanceF2 = distanceF1;
-      distanceF1 = distanceToPoint;
-      offsetF2 = offsetF1;
-      offsetF1 = cellOffset;
-      positionF2 = positionF1;
-      positionF1 = pointPosition;
-    }
-    else if (distanceToPoint < distanceF2) {
-      distanceF2 = distanceToPoint;
-      offsetF2 = cellOffset;
-      positionF2 = pointPosition;
-    }
-  }
-  outDistance = distanceF2;
-  outColor = hash_float_to_color(cellPosition + offsetF2);
-  outW = positionF2 + cellPosition;
-}
-
-void voronoi_distance_to_edge_1d(float w, float randomness, output float outDistance)
-{
-  float cellPosition = floor(w);
-  float localPosition = w - cellPosition;
-
-  float midPointPosition = hash_float_to_float(cellPosition) * randomness;
-  float leftPointPosition = -1.0 + hash_float_to_float(cellPosition - 1.0) * randomness;
-  float rightPointPosition = 1.0 + hash_float_to_float(cellPosition + 1.0) * randomness;
-  float distanceToMidLeft = distance((midPointPosition + leftPointPosition) / 2.0, localPosition);
-  float distanceToMidRight = distance((midPointPosition + rightPointPosition) / 2.0,
-                                      localPosition);
-
-  outDistance = min(distanceToMidLeft, distanceToMidRight);
-}
-
-void voronoi_n_sphere_radius_1d(float w, float randomness, output float outRadius)
-{
-  float cellPosition = floor(w);
-  float localPosition = w - cellPosition;
-
-  float closestPoint;
-  float closestPointOffset;
-  float minDistance = 8.0;
-  for (int i = -1; i <= 1; i++) {
-    float cellOffset = float(i);
-    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
-    float distanceToPoint = distance(pointPosition, localPosition);
-    if (distanceToPoint < minDistance) {
-      minDistance = distanceToPoint;
-      closestPoint = pointPosition;
-      closestPointOffset = cellOffset;
-    }
-  }
-
-  minDistance = 8.0;
-  float closestPointToClosestPoint;
-  for (int i = -1; i <= 1; i++) {
-    if (i == 0) {
-      continue;
-    }
-    float cellOffset = float(i) + closestPointOffset;
-    float pointPosition = cellOffset + hash_float_to_float(cellPosition + cellOffset) * randomness;
-    float distanceToPoint = distance(closestPoint, pointPosition);
-    if (distanceToPoint < minDistance) {
-      minDistance = distanceToPoint;
-      closestPointToClosestPoint = pointPosition;
-    }
-  }
-  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
-}
-
-/* **** 2D Voronoi **** */
-
-float voronoi_distance(vector2 a, vector2 b, string metric, float exponent)
-{
-  if (metric == "euclidean") {
-    return distance(a, b);
-  }
-  else if (metric == "manhattan") {
-    return abs(a.x - b.x) + abs(a.y - b.y);
-  }
-  else if (metric == "chebychev") {
-    return max(abs(a.x - b.x), abs(a.y - b.y));
-  }
-  else if (metric == "minkowski") {
-    return pow(pow(abs(a.x - b.x), exponent) + pow(abs(a.y - b.y), exponent), 1.0 / exponent);
-  }
-  else {
-    return 0.0;
-  }
-}
-
-void voronoi_f1_2d(vector2 coord,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output vector2 outPosition)
-{
-  vector2 cellPosition = floor(coord);
-  vector2 localPosition = coord - cellPosition;
-
-  float minDistance = 8.0;
-  vector2 targetOffset, targetPosition;
-  for (int j = -1; j <= 1; j++) {
-    for (int i = -1; i <= 1; i++) {
-      vector2 cellOffset = vector2(i, j);
-      vector2 pointPosition = cellOffset +
-                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
-      float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-      if (distanceToPoint < minDistance) {
-        targetOffset = cellOffset;
-        minDistance = distanceToPoint;
-        targetPosition = pointPosition;
-      }
-    }
-  }
-  outDistance = minDistance;
-  outColor = hash_vector2_to_color(cellPosition + targetOffset);
-  outPosition = targetPosition + cellPosition;
-}
-
-void voronoi_smooth_f1_2d(vector2 coord,
-                          float smoothness,
-                          float exponent,
-                          float randomness,
-                          string metric,
-                          output float outDistance,
-                          output color outColor,
-                          output vector2 outPosition)
-{
-  vector2 cellPosition = floor(coord);
-  vector2 localPosition = coord - cellPosition;
-
-  float smoothDistance = 8.0;
-  color smoothColor = color(0.0);
-  vector2 smoothPosition = vector2(0.0, 0.0);
-  for (int j = -2; j <= 2; j++) {
-    for (int i = -2; i <= 2; i++) {
-      vector2 cellOffset = vector2(i, j);
-      vector2 pointPosition = cellOffset +
-                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
-      float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-      float h = smoothstep(0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
-      float correctionFactor = smoothness * h * (1.0 - h);
-      smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
-      correctionFactor /= 1.0 + 3.0 * smoothness;
-      color cellColor = hash_vector2_to_color(cellPosition + cellOffset);
-      smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
-      smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
-    }
-  }
-  outDistance = smoothDistance;
-  outColor = smoothColor;
-  outPosition = cellPosition + smoothPosition;
-}
-
-void voronoi_f2_2d(vector2 coord,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output vector2 outPosition)
-{
-  vector2 cellPosition = floor(coord);
-  vector2 localPosition = coord - cellPosition;
-
-  float distanceF1 = 8.0;
-  float distanceF2 = 8.0;
-  vector2 offsetF1 = vector2(0.0, 0.0);
-  vector2 positionF1 = vector2(0.0, 0.0);
-  vector2 offsetF2, positionF2;
-  for (int j = -1; j <= 1; j++) {
-    for (int i = -1; i <= 1; i++) {
-      vector2 cellOffset = vector2(i, j);
-      vector2 pointPosition = cellOffset +
-                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
-      float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-      if (distanceToPoint < distanceF1) {
-        distanceF2 = distanceF1;
-        distanceF1 = distanceToPoint;
-        offsetF2 = offsetF1;
-        offsetF1 = cellOffset;
-        positionF2 = positionF1;
-        positionF1 = pointPosition;
-      }
-      else if (distanceToPoint < distanceF2) {
-        distanceF2 = distanceToPoint;
-        offsetF2 = cellOffset;
-        positionF2 = pointPosition;
-      }
-    }
-  }
-  outDistance = distanceF2;
-  outColor = hash_vector2_to_color(cellPosition + offsetF2);
-  outPosition = positionF2 + cellPosition;
-}
-
-void voronoi_distance_to_edge_2d(vector2 coord, float randomness, output float outDistance)
-{
-  vector2 cellPosition = floor(coord);
-  vector2 localPosition = coord - cellPosition;
-
-  vector2 vectorToClosest;
-  float minDistance = 8.0;
-  for (int j = -1; j <= 1; j++) {
-    for (int i = -1; i <= 1; i++) {
-      vector2 cellOffset = vector2(i, j);
-      vector2 vectorToPoint = cellOffset +
-                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness -
-                              localPosition;
-      float distanceToPoint = dot(vectorToPoint, vectorToPoint);
-      if (distanceToPoint < minDistance) {
-        minDistance = distanceToPoint;
-        vectorToClosest = vectorToPoint;
-      }
-    }
-  }
-
-  minDistance = 8.0;
-  for (int j = -1; j <= 1; j++) {
-    for (int i = -1; i <= 1; i++) {
-      vector2 cellOffset = vector2(i, j);
-      vector2 vectorToPoint = cellOffset +
-                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness -
-                              localPosition;
-      vector2 perpendicularToEdge = vectorToPoint - vectorToClosest;
-      if (dot(perpendicularToEdge, perpendicularToEdge) > 0.0001) {
-        float distanceToEdge = dot((vectorToClosest + vectorToPoint) / 2.0,
-                                   normalize(perpendicularToEdge));
-        minDistance = min(minDistance, distanceToEdge);
-      }
-    }
-  }
-  outDistance = minDistance;
-}
-
-void voronoi_n_sphere_radius_2d(vector2 coord, float randomness, output float outRadius)
-{
-  vector2 cellPosition = floor(coord);
-  vector2 localPosition = coord - cellPosition;
-
-  vector2 closestPoint;
-  vector2 closestPointOffset;
-  float minDistance = 8.0;
-  for (int j = -1; j <= 1; j++) {
-    for (int i = -1; i <= 1; i++) {
-      vector2 cellOffset = vector2(i, j);
-      vector2 pointPosition = cellOffset +
-                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
-      float distanceToPoint = distance(pointPosition, localPosition);
-      if (distanceToPoint < minDistance) {
-        minDistance = distanceToPoint;
-        closestPoint = pointPosition;
-        closestPointOffset = cellOffset;
-      }
-    }
-  }
-
-  minDistance = 8.0;
-  vector2 closestPointToClosestPoint;
-  for (int j = -1; j <= 1; j++) {
-    for (int i = -1; i <= 1; i++) {
-      if (i == 0 && j == 0) {
-        continue;
-      }
-      vector2 cellOffset = vector2(i, j) + closestPointOffset;
-      vector2 pointPosition = cellOffset +
-                              hash_vector2_to_vector2(cellPosition + cellOffset) * randomness;
-      float distanceToPoint = distance(closestPoint, pointPosition);
-      if (distanceToPoint < minDistance) {
-        minDistance = distanceToPoint;
-        closestPointToClosestPoint = pointPosition;
-      }
-    }
-  }
-  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
-}
-
-/* **** 3D Voronoi **** */
-
-float voronoi_distance(vector3 a, vector3 b, string metric, float exponent)
-{
-  if (metric == "euclidean") {
-    return distance(a, b);
-  }
-  else if (metric == "manhattan") {
-    return abs(a[0] - b[0]) + abs(a[1] - b[1]) + abs(a[2] - b[2]);
-  }
-  else if (metric == "chebychev") {
-    return max(abs(a[0] - b[0]), max(abs(a[1] - b[1]), abs(a[2] - b[2])));
-  }
-  else if (metric == "minkowski") {
-    return pow(pow(abs(a[0] - b[0]), exponent) + pow(abs(a[1] - b[1]), exponent) +
-                   pow(abs(a[2] - b[2]), exponent),
-               1.0 / exponent);
-  }
-  else {
-    return 0.0;
-  }
-}
-
-void voronoi_f1_3d(vector3 coord,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output vector3 outPosition)
-{
-  vector3 cellPosition = floor(coord);
-  vector3 localPosition = coord - cellPosition;
-
-  float minDistance = 8.0;
-  vector3 targetOffset, targetPosition;
-  for (int k = -1; k <= 1; k++) {
-    for (int j = -1; j <= 1; j++) {
-      for (int i = -1; i <= 1; i++) {
-        vector3 cellOffset = vector3(i, j, k);
-        vector3 pointPosition = cellOffset +
-                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
-        float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-        if (distanceToPoint < minDistance) {
-          targetOffset = cellOffset;
-          minDistance = distanceToPoint;
-          targetPosition = pointPosition;
-        }
-      }
-    }
-  }
-  outDistance = minDistance;
-  outColor = hash_vector3_to_color(cellPosition + targetOffset);
-  outPosition = targetPosition + cellPosition;
-}
-
-void voronoi_smooth_f1_3d(vector3 coord,
-                          float smoothness,
-                          float exponent,
-                          float randomness,
-                          string metric,
-                          output float outDistance,
-                          output color outColor,
-                          output vector3 outPosition)
-{
-  vector3 cellPosition = floor(coord);
-  vector3 localPosition = coord - cellPosition;
-
-  float smoothDistance = 8.0;
-  color smoothColor = color(0.0);
-  vector3 smoothPosition = vector3(0.0);
-  for (int k = -2; k <= 2; k++) {
-    for (int j = -2; j <= 2; j++) {
-      for (int i = -2; i <= 2; i++) {
-        vector3 cellOffset = vector3(i, j, k);
-        vector3 pointPosition = cellOffset +
-                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
-        float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-        float h = smoothstep(
-            0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
-        float correctionFactor = smoothness * h * (1.0 - h);
-        smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
-        correctionFactor /= 1.0 + 3.0 * smoothness;
-        color cellColor = hash_vector3_to_color(cellPosition + cellOffset);
-        smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
-        smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
-      }
-    }
-  }
-  outDistance = smoothDistance;
-  outColor = smoothColor;
-  outPosition = cellPosition + smoothPosition;
-}
-
-void voronoi_f2_3d(vector3 coord,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output vector3 outPosition)
-{
-  vector3 cellPosition = floor(coord);
-  vector3 localPosition = coord - cellPosition;
-
-  float distanceF1 = 8.0;
-  float distanceF2 = 8.0;
-  vector3 offsetF1 = vector3(0.0);
-  vector3 positionF1 = vector3(0.0);
-  vector3 offsetF2, positionF2;
-  for (int k = -1; k <= 1; k++) {
-    for (int j = -1; j <= 1; j++) {
-      for (int i = -1; i <= 1; i++) {
-        vector3 cellOffset = vector3(i, j, k);
-        vector3 pointPosition = cellOffset +
-                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
-        float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-        if (distanceToPoint < distanceF1) {
-          distanceF2 = distanceF1;
-          distanceF1 = distanceToPoint;
-          offsetF2 = offsetF1;
-          offsetF1 = cellOffset;
-          positionF2 = positionF1;
-          positionF1 = pointPosition;
-        }
-        else if (distanceToPoint < distanceF2) {
-          distanceF2 = distanceToPoint;
-          offsetF2 = cellOffset;
-          positionF2 = pointPosition;
-        }
-      }
-    }
-  }
-  outDistance = distanceF2;
-  outColor = hash_vector3_to_color(cellPosition + offsetF2);
-  outPosition = positionF2 + cellPosition;
-}
-
-void voronoi_distance_to_edge_3d(vector3 coord, float randomness, output float outDistance)
-{
-  vector3 cellPosition = floor(coord);
-  vector3 localPosition = coord - cellPosition;
-
-  vector3 vectorToClosest;
-  float minDistance = 8.0;
-  for (int k = -1; k <= 1; k++) {
-    for (int j = -1; j <= 1; j++) {
-      for (int i = -1; i <= 1; i++) {
-        vector3 cellOffset = vector3(i, j, k);
-        vector3 vectorToPoint = cellOffset +
-                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness -
-                                localPosition;
-        float distanceToPoint = dot(vectorToPoint, vectorToPoint);
-        if (distanceToPoint < minDistance) {
-          minDistance = distanceToPoint;
-          vectorToClosest = vectorToPoint;
-        }
-      }
-    }
-  }
-
-  minDistance = 8.0;
-  for (int k = -1; k <= 1; k++) {
-    for (int j = -1; j <= 1; j++) {
-      for (int i = -1; i <= 1; i++) {
-        vector3 cellOffset = vector3(i, j, k);
-        vector3 vectorToPoint = cellOffset +
-                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness -
-                                localPosition;
-        vector3 perpendicularToEdge = vectorToPoint - vectorToClosest;
-        if (dot(perpendicularToEdge, perpendicularToEdge) > 0.0001) {
-          float distanceToEdge = dot((vectorToClosest + vectorToPoint) / 2.0,
-                                     normalize((vector)perpendicularToEdge));
-          minDistance = min(minDistance, distanceToEdge);
-        }
-      }
-    }
-  }
-  outDistance = minDistance;
-}
-
-void voronoi_n_sphere_radius_3d(vector3 coord, float randomness, output float outRadius)
-{
-  vector3 cellPosition = floor(coord);
-  vector3 localPosition = coord - cellPosition;
-
-  vector3 closestPoint;
-  vector3 closestPointOffset;
-  float minDistance = 8.0;
-  for (int k = -1; k <= 1; k++) {
-    for (int j = -1; j <= 1; j++) {
-      for (int i = -1; i <= 1; i++) {
-        vector3 cellOffset = vector3(i, j, k);
-        vector3 pointPosition = cellOffset +
-                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
-        float distanceToPoint = distance(pointPosition, localPosition);
-        if (distanceToPoint < minDistance) {
-          minDistance = distanceToPoint;
-          closestPoint = pointPosition;
-          closestPointOffset = cellOffset;
-        }
-      }
-    }
-  }
-
-  minDistance = 8.0;
-  vector3 closestPointToClosestPoint;
-  for (int k = -1; k <= 1; k++) {
-    for (int j = -1; j <= 1; j++) {
-      for (int i = -1; i <= 1; i++) {
-        if (i == 0 && j == 0 && k == 0) {
-          continue;
-        }
-        vector3 cellOffset = vector3(i, j, k) + closestPointOffset;
-        vector3 pointPosition = cellOffset +
-                                hash_vector3_to_vector3(cellPosition + cellOffset) * randomness;
-        float distanceToPoint = distance(closestPoint, pointPosition);
-        if (distanceToPoint < minDistance) {
-          minDistance = distanceToPoint;
-          closestPointToClosestPoint = pointPosition;
-        }
-      }
-    }
-  }
-  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
-}
-
-/* **** 4D Voronoi **** */
-
-float voronoi_distance(vector4 a, vector4 b, string metric, float exponent)
-{
-  if (metric == "euclidean") {
-    return distance(a, b);
-  }
-  else if (metric == "manhattan") {
-    return abs(a.x - b.x) + abs(a.y - b.y) + abs(a.z - b.z) + abs(a.w - b.w);
-  }
-  else if (metric == "chebychev") {
-    return max(abs(a.x - b.x), max(abs(a.y - b.y), max(abs(a.z - b.z), abs(a.w - b.w))));
-  }
-  else if (metric == "minkowski") {
-    return pow(pow(abs(a.x - b.x), exponent) + pow(abs(a.y - b.y), exponent) +
-                   pow(abs(a.z - b.z), exponent) + pow(abs(a.w - b.w), exponent),
-               1.0 / exponent);
-  }
-  else {
-    return 0.0;
-  }
-}
-
-void voronoi_f1_4d(vector4 coord,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output vector4 outPosition)
-{
-  vector4 cellPosition = floor(coord);
-  vector4 localPosition = coord - cellPosition;
-
-  float minDistance = 8.0;
-  vector4 targetOffset, targetPosition;
-  for (int u = -1; u <= 1; u++) {
-    for (int k = -1; k <= 1; k++) {
-      for (int j = -1; j <= 1; j++) {
-        for (int i = -1; i <= 1; i++) {
-          vector4 cellOffset = vector4(i, j, k, u);
-          vector4 pointPosition = cellOffset +
-                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
-          float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-          if (distanceToPoint < minDistance) {
-            targetOffset = cellOffset;
-            minDistance = distanceToPoint;
-            targetPosition = pointPosition;
-          }
-        }
-      }
-    }
-  }
-  outDistance = minDistance;
-  outColor = hash_vector4_to_color(cellPosition + targetOffset);
-  outPosition = targetPosition + cellPosition;
-}
-
-void voronoi_smooth_f1_4d(vector4 coord,
-                          float smoothness,
-                          float exponent,
-                          float randomness,
-                          string metric,
-                          output float outDistance,
-                          output color outColor,
-                          output vector4 outPosition)
-{
-  vector4 cellPosition = floor(coord);
-  vector4 localPosition = coord - cellPosition;
-
-  float smoothDistance = 8.0;
-  color smoothColor = color(0.0);
-  vector4 smoothPosition = vector4(0.0, 0.0, 0.0, 0.0);
-  for (int u = -2; u <= 2; u++) {
-    for (int k = -2; k <= 2; k++) {
-      for (int j = -2; j <= 2; j++) {
-        for (int i = -2; i <= 2; i++) {
-          vector4 cellOffset = vector4(i, j, k, u);
-          vector4 pointPosition = cellOffset +
-                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
-          float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-          float h = smoothstep(
-              0.0, 1.0, 0.5 + 0.5 * (smoothDistance - distanceToPoint) / smoothness);
-          float correctionFactor = smoothness * h * (1.0 - h);
-          smoothDistance = mix(smoothDistance, distanceToPoint, h) - correctionFactor;
-          correctionFactor /= 1.0 + 3.0 * smoothness;
-          color cellColor = hash_vector4_to_color(cellPosition + cellOffset);
-          smoothColor = mix(smoothColor, cellColor, h) - correctionFactor;
-          smoothPosition = mix(smoothPosition, pointPosition, h) - correctionFactor;
-        }
-      }
-    }
-  }
-  outDistance = smoothDistance;
-  outColor = smoothColor;
-  outPosition = cellPosition + smoothPosition;
-}
-
-void voronoi_f2_4d(vector4 coord,
-                   float exponent,
-                   float randomness,
-                   string metric,
-                   output float outDistance,
-                   output color outColor,
-                   output vector4 outPosition)
-{
-  vector4 cellPosition = floor(coord);
-  vector4 localPosition = coord - cellPosition;
-
-  float distanceF1 = 8.0;
-  float distanceF2 = 8.0;
-  vector4 offsetF1 = vector4(0.0, 0.0, 0.0, 0.0);
-  vector4 positionF1 = vector4(0.0, 0.0, 0.0, 0.0);
-  vector4 offsetF2, positionF2;
-  for (int u = -1; u <= 1; u++) {
-    for (int k = -1; k <= 1; k++) {
-      for (int j = -1; j <= 1; j++) {
-        for (int i = -1; i <= 1; i++) {
-          vector4 cellOffset = vector4(i, j, k, u);
-          vector4 pointPosition = cellOffset +
-                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
-          float distanceToPoint = voronoi_distance(pointPosition, localPosition, metric, exponent);
-          if (distanceToPoint < distanceF1) {
-            distanceF2 = distanceF1;
-            distanceF1 = distanceToPoint;
-            offsetF2 = offsetF1;
-            offsetF1 = cellOffset;
-            positionF2 = positionF1;
-            positionF1 = pointPosition;
-          }
-          else if (distanceToPoint < distanceF2) {
-            distanceF2 = distanceToPoint;
-            offsetF2 = cellOffset;
-            positionF2 = pointPosition;
-          }
-        }
-      }
-    }
-  }
-  outDistance = distanceF2;
-  outColor = hash_vector4_to_color(cellPosition + offsetF2);
-  outPosition = positionF2 + cellPosition;
-}
-
-void voronoi_distance_to_edge_4d(vector4 coord, float randomness, output float outDistance)
-{
-  vector4 cellPosition = floor(coord);
-  vector4 localPosition = coord - cellPosition;
-
-  vector4 vectorToClosest;
-  float minDistance = 8.0;
-  for (int u = -1; u <= 1; u++) {
-    for (int k = -1; k <= 1; k++) {
-      for (int j = -1; j <= 1; j++) {
-        for (int i = -1; i <= 1; i++) {
-          vector4 cellOffset = vector4(i, j, k, u);
-          vector4 vectorToPoint = cellOffset +
-                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness -
-                                  localPosition;
-          float distanceToPoint = dot(vectorToPoint, vectorToPoint);
-          if (distanceToPoint < minDistance) {
-            minDistance = distanceToPoint;
-            vectorToClosest = vectorToPoint;
-          }
-        }
-      }
-    }
-  }
-
-  minDistance = 8.0;
-  for (int u = -1; u <= 1; u++) {
-    for (int k = -1; k <= 1; k++) {
-      for (int j = -1; j <= 1; j++) {
-        for (int i = -1; i <= 1; i++) {
-          vector4 cellOffset = vector4(i, j, k, u);
-          vector4 vectorToPoint = cellOffset +
-                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness -
-                                  localPosition;
-          vector4 perpendicularToEdge = vectorToPoint - vectorToClosest;
-          if (dot(perpendicularToEdge, perpendicularToEdge) > 0.0001) {
-            float distanceToEdge = dot((vectorToClosest + vectorToPoint) / 2.0,
-                                       normalize(perpendicularToEdge));
-            minDistance = min(minDistance, distanceToEdge);
-          }
-        }
-      }
-    }
-  }
-  outDistance = minDistance;
-}
-
-void voronoi_n_sphere_radius_4d(vector4 coord, float randomness, output float outRadius)
-{
-  vector4 cellPosition = floor(coord);
-  vector4 localPosition = coord - cellPosition;
-
-  vector4 closestPoint;
-  vector4 closestPointOffset;
-  float minDistance = 8.0;
-  for (int u = -1; u <= 1; u++) {
-    for (int k = -1; k <= 1; k++) {
-      for (int j = -1; j <= 1; j++) {
-        for (int i = -1; i <= 1; i++) {
-          vector4 cellOffset = vector4(i, j, k, u);
-          vector4 pointPosition = cellOffset +
-                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
-          float distanceToPoint = distance(pointPosition, localPosition);
-          if (distanceToPoint < minDistance) {
-            minDistance = distanceToPoint;
-            closestPoint = pointPosition;
-            closestPointOffset = cellOffset;
-          }
-        }
-      }
-    }
-  }
-
-  minDistance = 8.0;
-  vector4 closestPointToClosestPoint;
-  for (int u = -1; u <= 1; u++) {
-    for (int k = -1; k <= 1; k++) {
-      for (int j = -1; j <= 1; j++) {
-        for (int i = -1; i <= 1; i++) {
-          if (i == 0 && j == 0 && k == 0 && u == 0) {
-            continue;
-          }
-          vector4 cellOffset = vector4(i, j, k, u) + closestPointOffset;
-          vector4 pointPosition = cellOffset +
-                                  hash_vector4_to_vector4(cellPosition + cellOffset) * randomness;
-          float distanceToPoint = distance(closestPoint, pointPosition);
-          if (distanceToPoint < minDistance) {
-            minDistance = distanceToPoint;
-            closestPointToClosestPoint = pointPosition;
-          }
-        }
-      }
-    }
-  }
-  outRadius = distance(closestPointToClosestPoint, closestPoint) / 2.0;
-}
-
-shader node_voronoi_texture(
-    int use_mapping = 0,
-    matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-    string dimensions = "3D",
-    string feature = "f1",
-    string metric = "euclidean",
-    vector3 Vector = P,
-    float WIn = 0.0,
-    float Scale = 5.0,
-    float Smoothness = 5.0,
-    float Exponent = 1.0,
-    float Randomness = 1.0,
-    output float Distance = 0.0,
-    output color Color = 0.0,
-    output vector3 Position = P,
-    output float WOut = 0.0,
-    output float Radius = 0.0)
-{
-  float randomness = clamp(Randomness, 0.0, 1.0);
-  float smoothness = clamp(Smoothness / 2.0, 0.0, 0.5);
-
-  vector3 coord = Vector;
-  if (use_mapping)
-    coord = transform(mapping, coord);
-
-  float w = WIn * Scale;
-  coord *= Scale;
-
-  if (dimensions == "1D") {
-    if (feature == "f1") {
-      voronoi_f1_1d(w, Exponent, randomness, metric, Distance, Color, WOut);
-    }
-    else if (feature == "smooth_f1") {
-      voronoi_smooth_f1_1d(w, smoothness, Exponent, randomness, metric, Distance, Color, WOut);
-    }
-    else if (feature == "f2") {
-      voronoi_f2_1d(w, Exponent, randomness, metric, Distance, Color, WOut);
-    }
-    else if (feature == "distance_to_edge") {
-      voronoi_distance_to_edge_1d(w, randomness, Distance);
-    }
-    else if (feature == "n_sphere_radius") {
-      voronoi_n_sphere_radius_1d(w, randomness, Radius);
-    }
-    else {
-      error("Unknown feature!");
-    }
-    WOut = (Scale != 0.0) ? WOut / Scale : 0.0;
-  }
-  else if (dimensions == "2D") {
-    vector2 coord2D = vector2(coord[0], coord[1]);
-    vector2 outPosition2D;
-    if (feature == "f1") {
-      voronoi_f1_2d(coord2D, Exponent, randomness, metric, Distance, Color, outPosition2D);
-    }
-    else if (feature == "smooth_f1") {
-      voronoi_smooth_f1_2d(
-          coord2D, smoothness, Exponent, randomness, metric, Distance, Color, outPosition2D);
-    }
-    else if (feature == "f2") {
-      voronoi_f2_2d(coord2D, Exponent, randomness, metric, Distance, Color, outPosition2D);
-    }
-    else if (feature == "distance_to_edge") {
-      voronoi_distance_to_edge_2d(coord2D, randomness, Distance);
-    }
-    else if (feature == "n_sphere_radius") {
-      voronoi_n_sphere_radius_2d(coord2D, randomness, Radius);
-    }
-    else {
-      error("Unknown feature!");
-    }
-    outPosition2D = safe_divide(outPosition2D, Scale);
-    Position = vector3(outPosition2D.x, outPosition2D.y, 0.0);
-  }
-  else if (dimensions == "3D") {
-    if (feature == "f1") {
-      voronoi_f1_3d(coord, Exponent, randomness, metric, Distance, Color, Position);
-    }
-    else if (feature == "smooth_f1") {
-      voronoi_smooth_f1_3d(
-          coord, smoothness, Exponent, randomness, metric, Distance, Color, Position);
-    }
-    else if (feature == "f2") {
-      voronoi_f2_3d(coord, Exponent, randomness, metric, Distance, Color, Position);
-    }
-    else if (feature == "distance_to_edge") {
-      voronoi_distance_to_edge_3d(coord, randomness, Distance);
-    }
-    else if (feature == "n_sphere_radius") {
-      voronoi_n_sphere_radius_3d(coord, randomness, Radius);
-    }
-    else {
-      error("Unknown feature!");
-    }
-    Position = (Scale != 0.0) ? Position / Scale : vector3(0.0);
-  }
-  else if (dimensions == "4D") {
-    vector4 coord4D = vector4(coord[0], coord[1], coord[2], w);
-    vector4 outPosition4D;
-    if (feature == "f1") {
-      voronoi_f1_4d(coord4D, Exponent, randomness, metric, Distance, Color, outPosition4D);
-    }
-    else if (feature == "smooth_f1") {
-      voronoi_smooth_f1_4d(
-          coord4D, smoothness, Exponent, randomness, metric, Distance, Color, outPosition4D);
-    }
-    else if (feature == "f2") {
-      voronoi_f2_4d(coord4D, Exponent, randomness, metric, Distance, Color, outPosition4D);
-    }
-    else if (feature == "distance_to_edge") {
-      voronoi_distance_to_edge_4d(coord4D, randomness, Distance);
-    }
-    else if (feature == "n_sphere_radius") {
-      voronoi_n_sphere_radius_4d(coord4D, randomness, Radius);
-    }
-    else {
-      error("Unknown feature!");
-    }
-    outPosition4D = safe_divide(outPosition4D, Scale);
-    Position = vector3(outPosition4D.x, outPosition4D.y, outPosition4D.z);
-    WOut = outPosition4D.w;
-  }
-  else {
-    error("Unknown dimension!");
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_voxel_texture.osl b/intern/cycles/kernel/shaders/node_voxel_texture.osl
deleted file mode 100644
index 14489298367..00000000000
--- a/intern/cycles/kernel/shaders/node_voxel_texture.osl
+++ /dev/null
@@ -1,45 +0,0 @@
-/*
- * Copyright 2011-2015 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_voxel_texture(string filename = "",
-                          string interpolation = "linear",
-                          int use_mapping = 0,
-                          matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-                          point Vector = P,
-                          output float Density = 0,
-                          output color Color = 0)
-{
-  point p = Vector;
-  if (use_mapping) {
-    p = transform(mapping, p);
-  }
-  else {
-    p = transform("object", Vector);
-    matrix tfm;
-    if (getattribute("geom:generated_transform", tfm))
-      p = transform(tfm, p);
-  }
-  if (p[0] < 0.0 || p[1] < 0.0 || p[2] < 0.0 || p[0] > 1.0 || p[1] > 1.0 || p[2] > 1.0) {
-    Density = 0;
-    Color = color(0, 0, 0);
-  }
-  else {
-    Color = (color)texture3d(
-        filename, p, "wrap", "periodic", "interp", interpolation, "alpha", Density);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_wave_texture.osl b/intern/cycles/kernel/shaders/node_wave_texture.osl
deleted file mode 100644
index 71d81dff7ec..00000000000
--- a/intern/cycles/kernel/shaders/node_wave_texture.osl
+++ /dev/null
@@ -1,119 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_noise.h"
-#include "stdcycles.h"
-
-/* Wave */
-
-float wave(point p_input,
-           string type,
-           string bands_direction,
-           string rings_direction,
-           string profile,
-           float distortion,
-           float detail,
-           float dscale,
-           float droughness,
-           float phase)
-{
-  /* Prevent precision issues on unit coordinates. */
-  point p = (p_input + 0.000001) * 0.999999;
-
-  float n = 0.0;
-
-  if (type == "bands") {
-    if (bands_direction == "x") {
-      n = p[0] * 20.0;
-    }
-    else if (bands_direction == "y") {
-      n = p[1] * 20.0;
-    }
-    else if (bands_direction == "z") {
-      n = p[2] * 20.0;
-    }
-    else { /* diagonal */
-      n = (p[0] + p[1] + p[2]) * 10.0;
-    }
-  }
-  else if (type == "rings") {
-    point rp = p;
-    if (rings_direction == "x") {
-      rp *= point(0.0, 1.0, 1.0);
-    }
-    else if (rings_direction == "y") {
-      rp *= point(1.0, 0.0, 1.0);
-    }
-    else if (rings_direction == "z") {
-      rp *= point(1.0, 1.0, 0.0);
-    }
-    /* else: "spherical" */
-
-    n = length(rp) * 20.0;
-  }
-
-  n += phase;
-
-  if (distortion != 0.0) {
-    n = n + (distortion * (fractal_noise(p * dscale, detail, droughness) * 2.0 - 1.0));
-  }
-
-  if (profile == "sine") {
-    return 0.5 + 0.5 * sin(n - M_PI_2);
-  }
-  else if (profile == "saw") {
-    n /= M_2PI;
-    return n - floor(n);
-  }
-  else { /* profile tri */
-    n /= M_2PI;
-    return abs(n - floor(n + 0.5)) * 2.0;
-  }
-}
-
-shader node_wave_texture(int use_mapping = 0,
-                         matrix mapping = matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
-                         string wave_type = "bands",
-                         string bands_direction = "x",
-                         string rings_direction = "x",
-                         string profile = "sine",
-                         float Scale = 5.0,
-                         float Distortion = 0.0,
-                         float Detail = 2.0,
-                         float DetailScale = 1.0,
-                         float DetailRoughness = 0.5,
-                         float PhaseOffset = 0.0,
-                         point Vector = P,
-                         output float Fac = 0.0,
-                         output color Color = 0.0)
-{
-  point p = Vector;
-
-  if (use_mapping)
-    p = transform(mapping, p);
-
-  Fac = wave(p * Scale,
-             wave_type,
-             bands_direction,
-             rings_direction,
-             profile,
-             Distortion,
-             Detail,
-             DetailScale,
-             DetailRoughness,
-             PhaseOffset);
-  Color = Fac;
-}
diff --git a/intern/cycles/kernel/shaders/node_wavelength.osl b/intern/cycles/kernel/shaders/node_wavelength.osl
deleted file mode 100644
index f484c4b4788..00000000000
--- a/intern/cycles/kernel/shaders/node_wavelength.osl
+++ /dev/null
@@ -1,22 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "stdcycles.h"
-
-shader node_wavelength(float Wavelength = 500.0, output color Color = 0.0)
-{
-  Color = wavelength_color(Wavelength);
-}
diff --git a/intern/cycles/kernel/shaders/node_white_noise_texture.osl b/intern/cycles/kernel/shaders/node_white_noise_texture.osl
deleted file mode 100644
index 94735a019d5..00000000000
--- a/intern/cycles/kernel/shaders/node_white_noise_texture.osl
+++ /dev/null
@@ -1,49 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "node_hash.h"
-#include "stdcycles.h"
-#include "vector2.h"
-#include "vector4.h"
-
-#define vector3 point
-
-shader node_white_noise_texture(string dimensions = "3D",
-                                point Vector = point(0.0, 0.0, 0.0),
-                                float W = 0.0,
-                                output float Value = 0.0,
-                                output color Color = 0.0)
-{
-  if (dimensions == "1D") {
-    Value = noise("hash", W);
-    Color = hash_float_to_color(W);
-  }
-  else if (dimensions == "2D") {
-    Value = noise("hash", Vector[0], Vector[1]);
-    Color = hash_vector2_to_color(vector2(Vector[0], Vector[1]));
-  }
-  else if (dimensions == "3D") {
-    Value = noise("hash", Vector);
-    Color = hash_vector3_to_color(vector3(Vector[0], Vector[1], Vector[2]));
-  }
-  else if (dimensions == "4D") {
-    Value = noise("hash", Vector, W);
-    Color = hash_vector4_to_color(vector4(Vector[0], Vector[1], Vector[2], W));
-  }
-  else {
-    warning("%s", "Unknown dimension!");
-  }
-}
diff --git a/intern/cycles/kernel/shaders/node_wireframe.osl b/intern/cycles/kernel/shaders/node_wireframe.osl
deleted file mode 100644
index 673a451c928..00000000000
--- a/intern/cycles/kernel/shaders/node_wireframe.osl
+++ /dev/null
@@ -1,40 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "oslutil.h"
-#include "stdcycles.h"
-
-shader node_wireframe(string bump_offset = "center",
-                      int use_pixel_size = 0,
-                      float Size = 0.01,
-                      output float Fac = 0.0)
-{
-  Fac = wireframe("triangles", Size, use_pixel_size);
-  /* TODO(sergey): Since we can't use autodiff here we do algebraic
-   * calculation of derivatives by definition. We could probably
-   * optimize this a bit by doing some extra calculation in wireframe().
-   */
-  if (bump_offset == "dx") {
-    point dx = Dx(P);
-    P -= dx;
-    Fac += (Fac - wireframe("triangles", Size, use_pixel_size)) / length(dx);
-  }
-  else if (bump_offset == "dy") {
-    point dy = Dy(P);
-    P -= dy;
-    Fac += (Fac - wireframe("triangles", Size, use_pixel_size)) / length(dy);
-  }
-}
diff --git a/intern/cycles/kernel/shaders/stdcycles.h b/intern/cycles/kernel/shaders/stdcycles.h
deleted file mode 100644
index dd604da68ce..00000000000
--- a/intern/cycles/kernel/shaders/stdcycles.h
+++ /dev/null
@@ -1,150 +0,0 @@
-/////////////////////////////////////////////////////////////////////////////
-// Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.  All Rights Reserved.
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-// * Redistributions of source code must retain the above copyright
-//   notice, this list of conditions and the following disclaimer.
-// * Redistributions in binary form must reproduce the above copyright
-//   notice, this list of conditions and the following disclaimer in the
-//   documentation and/or other materials provided with the distribution.
-// * Neither the name of Sony Pictures Imageworks nor the names of its
-//   contributors may be used to endorse or promote products derived from
-//   this software without specific prior written permission.
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
-// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
-// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
-// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
-// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
-// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
-// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-/////////////////////////////////////////////////////////////////////////////
-
-#ifndef CCL_STDCYCLESOSL_H
-#define CCL_STDCYCLESOSL_H
-
-#include "stdosl.h"
-
-// Declaration of built-in functions and closures, stdosl.h does not make
-// these available so we have to redefine them.
-#define BUILTIN [[int builtin = 1]]
-#define BUILTIN_DERIV [[ int builtin = 1, int deriv = 1 ]]
-
-closure color diffuse_ramp(normal N, color colors[8]) BUILTIN;
-closure color phong_ramp(normal N, float exponent, color colors[8]) BUILTIN;
-closure color diffuse_toon(normal N, float size, float smooth) BUILTIN;
-closure color glossy_toon(normal N, float size, float smooth) BUILTIN;
-closure color microfacet_ggx(normal N, float ag) BUILTIN;
-closure color microfacet_ggx_aniso(normal N, vector T, float ax, float ay) BUILTIN;
-closure color microfacet_ggx_refraction(normal N, float ag, float eta) BUILTIN;
-closure color microfacet_multi_ggx(normal N, float ag, color C) BUILTIN;
-closure color microfacet_multi_ggx_aniso(normal N, vector T, float ax, float ay, color C) BUILTIN;
-closure color microfacet_multi_ggx_glass(normal N, float ag, float eta, color C) BUILTIN;
-closure color microfacet_ggx_fresnel(normal N, float ag, float eta, color C, color Cspec0) BUILTIN;
-closure color microfacet_ggx_aniso_fresnel(
-    normal N, vector T, float ax, float ay, float eta, color C, color Cspec0) BUILTIN;
-closure color
-microfacet_multi_ggx_fresnel(normal N, float ag, float eta, color C, color Cspec0) BUILTIN;
-closure color microfacet_multi_ggx_aniso_fresnel(
-    normal N, vector T, float ax, float ay, float eta, color C, color Cspec0) BUILTIN;
-closure color
-microfacet_multi_ggx_glass_fresnel(normal N, float ag, float eta, color C, color Cspec0) BUILTIN;
-closure color microfacet_beckmann(normal N, float ab) BUILTIN;
-closure color microfacet_beckmann_aniso(normal N, vector T, float ax, float ay) BUILTIN;
-closure color microfacet_beckmann_refraction(normal N, float ab, float eta) BUILTIN;
-closure color ashikhmin_shirley(normal N, vector T, float ax, float ay) BUILTIN;
-closure color ashikhmin_velvet(normal N, float sigma) BUILTIN;
-closure color ambient_occlusion() BUILTIN;
-closure color principled_diffuse(normal N, float roughness) BUILTIN;
-closure color principled_sheen(normal N) BUILTIN;
-closure color principled_clearcoat(normal N, float clearcoat, float clearcoat_roughness) BUILTIN;
-
-// BSSRDF
-closure color bssrdf(string method, normal N, vector radius, color albedo) BUILTIN;
-
-// Hair
-closure color
-hair_reflection(normal N, float roughnessu, float roughnessv, vector T, float offset) BUILTIN;
-closure color
-hair_transmission(normal N, float roughnessu, float roughnessv, vector T, float offset) BUILTIN;
-closure color principled_hair(normal N,
-                              color sigma,
-                              float roughnessu,
-                              float roughnessv,
-                              float coat,
-                              float alpha,
-                              float eta) BUILTIN;
-
-// Volume
-closure color henyey_greenstein(float g) BUILTIN;
-closure color absorption() BUILTIN;
-
-normal ensure_valid_reflection(normal Ng, vector I, normal N)
-{
-  /* The implementation here mirrors the one in kernel_montecarlo.h,
-   * check there for an explanation of the algorithm. */
-
-  float sqr(float x)
-  {
-    return x * x;
-  }
-
-  vector R = 2 * dot(N, I) * N - I;
-
-  float threshold = min(0.9 * dot(Ng, I), 0.01);
-  if (dot(Ng, R) >= threshold) {
-    return N;
-  }
-
-  float NdotNg = dot(N, Ng);
-  vector X = normalize(N - NdotNg * Ng);
-
-  float Ix = dot(I, X), Iz = dot(I, Ng);
-  float Ix2 = sqr(Ix), Iz2 = sqr(Iz);
-  float a = Ix2 + Iz2;
-
-  float b = sqrt(Ix2 * (a - sqr(threshold)));
-  float c = Iz * threshold + a;
-
-  float fac = 0.5 / a;
-  float N1_z2 = fac * (b + c), N2_z2 = fac * (-b + c);
-  int valid1 = (N1_z2 > 1e-5) && (N1_z2 <= (1.0 + 1e-5));
-  int valid2 = (N2_z2 > 1e-5) && (N2_z2 <= (1.0 + 1e-5));
-
-  float N_new_x, N_new_z;
-  if (valid1 && valid2) {
-    float N1_x = sqrt(1.0 - N1_z2), N1_z = sqrt(N1_z2);
-    float N2_x = sqrt(1.0 - N2_z2), N2_z = sqrt(N2_z2);
-
-    float R1 = 2 * (N1_x * Ix + N1_z * Iz) * N1_z - Iz;
-    float R2 = 2 * (N2_x * Ix + N2_z * Iz) * N2_z - Iz;
-
-    valid1 = (R1 >= 1e-5);
-    valid2 = (R2 >= 1e-5);
-    if (valid1 && valid2) {
-      N_new_x = (R1 < R2) ? N1_x : N2_x;
-      N_new_z = (R1 < R2) ? N1_z : N2_z;
-    }
-    else {
-      N_new_x = (R1 > R2) ? N1_x : N2_x;
-      N_new_z = (R1 > R2) ? N1_z : N2_z;
-    }
-  }
-  else if (valid1 || valid2) {
-    float Nz2 = valid1 ? N1_z2 : N2_z2;
-    N_new_x = sqrt(1.0 - Nz2);
-    N_new_z = sqrt(Nz2);
-  }
-  else {
-    return Ng;
-  }
-
-  return N_new_x * X + N_new_z * Ng;
-}
-
-#endif /* CCL_STDOSL_H */
diff --git a/intern/cycles/kernel/svm/svm_aov.h b/intern/cycles/kernel/svm/svm_aov.h
index 833a6443b3c..92be7fb6906 100644
--- a/intern/cycles/kernel/svm/svm_aov.h
+++ b/intern/cycles/kernel/svm/svm_aov.h
@@ -14,7 +14,7 @@
  * limitations under the License.
  */
 
-#include "kernel/kernel_write_passes.h"
+#include "kernel/film/film_write_passes.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/svm/svm_bevel.h b/intern/cycles/kernel/svm/svm_bevel.h
index 292887beedf..0a30822aa68 100644
--- a/intern/cycles/kernel/svm/svm_bevel.h
+++ b/intern/cycles/kernel/svm/svm_bevel.h
@@ -15,8 +15,8 @@
  */
 
 #include "kernel/bvh/bvh.h"
-#include "kernel/kernel_montecarlo.h"
-#include "kernel/kernel_random.h"
+#include "kernel/sample/sample_mapping.h"
+#include "kernel/sample/sample_pattern.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/svm/svm_displace.h b/intern/cycles/kernel/svm/svm_displace.h
index f2446c3b3ef..8429fe1d3e0 100644
--- a/intern/cycles/kernel/svm/svm_displace.h
+++ b/intern/cycles/kernel/svm/svm_displace.h
@@ -14,7 +14,7 @@
  * limitations under the License.
  */
 
-#include "kernel/kernel_montecarlo.h"
+#include "kernel/sample/sample_mapping.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/svm/svm_tex_coord.h b/intern/cycles/kernel/svm/svm_tex_coord.h
index fe777eb34c8..9af0a818cad 100644
--- a/intern/cycles/kernel/svm/svm_tex_coord.h
+++ b/intern/cycles/kernel/svm/svm_tex_coord.h
@@ -14,9 +14,9 @@
  * limitations under the License.
  */
 
+#include "kernel/camera/camera.h"
 #include "kernel/geom/geom.h"
-#include "kernel/kernel_camera.h"
-#include "kernel/kernel_montecarlo.h"
+#include "kernel/sample/sample_mapping.h"
 
 CCL_NAMESPACE_BEGIN
 
diff --git a/intern/cycles/kernel/util/util_color.h b/intern/cycles/kernel/util/util_color.h
new file mode 100644
index 00000000000..0d7bfecd5f3
--- /dev/null
+++ b/intern/cycles/kernel/util/util_color.h
@@ -0,0 +1,35 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "util/util_color.h"
+
+CCL_NAMESPACE_BEGIN
+
+ccl_device float3 xyz_to_rgb(KernelGlobals kg, float3 xyz)
+{
+  return make_float3(dot(float4_to_float3(kernel_data.film.xyz_to_r), xyz),
+                     dot(float4_to_float3(kernel_data.film.xyz_to_g), xyz),
+                     dot(float4_to_float3(kernel_data.film.xyz_to_b), xyz));
+}
+
+ccl_device float linear_rgb_to_gray(KernelGlobals kg, float3 c)
+{
+  return dot(c, float4_to_float3(kernel_data.film.rgb_to_y));
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/util/util_differential.h b/intern/cycles/kernel/util/util_differential.h
new file mode 100644
index 00000000000..17187083019
--- /dev/null
+++ b/intern/cycles/kernel/util/util_differential.h
@@ -0,0 +1,166 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* See "Tracing Ray Differentials", Homan Igehy, 1999. */
+
+ccl_device void differential_transfer(ccl_private differential3 *surface_dP,
+                                      const differential3 ray_dP,
+                                      float3 ray_D,
+                                      const differential3 ray_dD,
+                                      float3 surface_Ng,
+                                      float ray_t)
+{
+  /* ray differential transfer through homogeneous medium, to
+   * compute dPdx/dy at a shading point from the incoming ray */
+
+  float3 tmp = ray_D / dot(ray_D, surface_Ng);
+  float3 tmpx = ray_dP.dx + ray_t * ray_dD.dx;
+  float3 tmpy = ray_dP.dy + ray_t * ray_dD.dy;
+
+  surface_dP->dx = tmpx - dot(tmpx, surface_Ng) * tmp;
+  surface_dP->dy = tmpy - dot(tmpy, surface_Ng) * tmp;
+}
+
+ccl_device void differential_incoming(ccl_private differential3 *dI, const differential3 dD)
+{
+  /* compute dIdx/dy at a shading point, we just need to negate the
+   * differential of the ray direction */
+
+  dI->dx = -dD.dx;
+  dI->dy = -dD.dy;
+}
+
+ccl_device void differential_dudv(ccl_private differential *du,
+                                  ccl_private differential *dv,
+                                  float3 dPdu,
+                                  float3 dPdv,
+                                  differential3 dP,
+                                  float3 Ng)
+{
+  /* now we have dPdx/dy from the ray differential transfer, and dPdu/dv
+   * from the primitive, we can compute dudx/dy and dvdx/dy. these are
+   * mainly used for differentials of arbitrary mesh attributes. */
+
+  /* find most stable axis to project to 2D */
+  float xn = fabsf(Ng.x);
+  float yn = fabsf(Ng.y);
+  float zn = fabsf(Ng.z);
+
+  if (zn < xn || zn < yn) {
+    if (yn < xn || yn < zn) {
+      dPdu.x = dPdu.y;
+      dPdv.x = dPdv.y;
+      dP.dx.x = dP.dx.y;
+      dP.dy.x = dP.dy.y;
+    }
+
+    dPdu.y = dPdu.z;
+    dPdv.y = dPdv.z;
+    dP.dx.y = dP.dx.z;
+    dP.dy.y = dP.dy.z;
+  }
+
+  /* using Cramer's rule, we solve for dudx and dvdx in a 2x2 linear system,
+   * and the same for dudy and dvdy. the denominator is the same for both
+   * solutions, so we compute it only once.
+   *
+   * dP.dx = dPdu * dudx + dPdv * dvdx;
+   * dP.dy = dPdu * dudy + dPdv * dvdy; */
+
+  float det = (dPdu.x * dPdv.y - dPdv.x * dPdu.y);
+
+  if (det != 0.0f)
+    det = 1.0f / det;
+
+  du->dx = (dP.dx.x * dPdv.y - dP.dx.y * dPdv.x) * det;
+  dv->dx = (dP.dx.y * dPdu.x - dP.dx.x * dPdu.y) * det;
+
+  du->dy = (dP.dy.x * dPdv.y - dP.dy.y * dPdv.x) * det;
+  dv->dy = (dP.dy.y * dPdu.x - dP.dy.x * dPdu.y) * det;
+}
+
+ccl_device differential differential_zero()
+{
+  differential d;
+  d.dx = 0.0f;
+  d.dy = 0.0f;
+
+  return d;
+}
+
+ccl_device differential3 differential3_zero()
+{
+  differential3 d;
+  d.dx = zero_float3();
+  d.dy = zero_float3();
+
+  return d;
+}
+
+/* Compact ray differentials that are just a scale to reduce memory usage and
+ * access cost in GPU.
+ *
+ * See above for more accurate reference implementations.
+ *
+ * TODO: also store the more compact version in ShaderData and recompute where
+ * needed? */
+
+ccl_device_forceinline float differential_zero_compact()
+{
+  return 0.0f;
+}
+
+ccl_device_forceinline float differential_make_compact(const differential3 D)
+{
+  return 0.5f * (len(D.dx) + len(D.dy));
+}
+
+ccl_device_forceinline void differential_transfer_compact(ccl_private differential3 *surface_dP,
+                                                          const float ray_dP,
+                                                          const float3 /* ray_D */,
+                                                          const float ray_dD,
+                                                          const float3 surface_Ng,
+                                                          const float ray_t)
+{
+  /* ray differential transfer through homogeneous medium, to
+   * compute dPdx/dy at a shading point from the incoming ray */
+  float scale = ray_dP + ray_t * ray_dD;
+
+  float3 dx, dy;
+  make_orthonormals(surface_Ng, &dx, &dy);
+  surface_dP->dx = dx * scale;
+  surface_dP->dy = dy * scale;
+}
+
+ccl_device_forceinline void differential_incoming_compact(ccl_private differential3 *dI,
+                                                          const float3 D,
+                                                          const float dD)
+{
+  /* compute dIdx/dy at a shading point, we just need to negate the
+   * differential of the ray direction */
+
+  float3 dx, dy;
+  make_orthonormals(D, &dx, &dy);
+
+  dI->dx = dD * dx;
+  dI->dy = dD * dy;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/util/util_lookup_table.h b/intern/cycles/kernel/util/util_lookup_table.h
new file mode 100644
index 00000000000..2c26e668d7b
--- /dev/null
+++ b/intern/cycles/kernel/util/util_lookup_table.h
@@ -0,0 +1,56 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+CCL_NAMESPACE_BEGIN
+
+/* Interpolated lookup table access */
+
+ccl_device float lookup_table_read(KernelGlobals kg, float x, int offset, int size)
+{
+  x = saturate(x) * (size - 1);
+
+  int index = min(float_to_int(x), size - 1);
+  int nindex = min(index + 1, size - 1);
+  float t = x - index;
+
+  float data0 = kernel_tex_fetch(__lookup_table, index + offset);
+  if (t == 0.0f)
+    return data0;
+
+  float data1 = kernel_tex_fetch(__lookup_table, nindex + offset);
+  return (1.0f - t) * data0 + t * data1;
+}
+
+ccl_device float lookup_table_read_2D(
+    KernelGlobals kg, float x, float y, int offset, int xsize, int ysize)
+{
+  y = saturate(y) * (ysize - 1);
+
+  int index = min(float_to_int(y), ysize - 1);
+  int nindex = min(index + 1, ysize - 1);
+  float t = y - index;
+
+  float data0 = lookup_table_read(kg, x, offset + xsize * index, xsize);
+  if (t == 0.0f)
+    return data0;
+
+  float data1 = lookup_table_read(kg, x, offset + xsize * nindex, xsize);
+  return (1.0f - t) * data0 + t * data1;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/kernel/util/util_profiling.h b/intern/cycles/kernel/util/util_profiling.h
new file mode 100644
index 00000000000..db8644005ea
--- /dev/null
+++ b/intern/cycles/kernel/util/util_profiling.h
@@ -0,0 +1,40 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#ifdef __KERNEL_CPU__
+#  include "util/util_profiling.h"
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+#ifdef __KERNEL_CPU__
+#  define PROFILING_INIT(kg, event) \
+    ProfilingHelper profiling_helper((ProfilingState *)&kg->profiler, event)
+#  define PROFILING_EVENT(event) profiling_helper.set_event(event)
+#  define PROFILING_INIT_FOR_SHADER(kg, event) \
+    ProfilingWithShaderHelper profiling_helper((ProfilingState *)&kg->profiler, event)
+#  define PROFILING_SHADER(object, shader) \
+    profiling_helper.set_shader(object, (shader)&SHADER_MASK);
+#else
+#  define PROFILING_INIT(kg, event)
+#  define PROFILING_EVENT(event)
+#  define PROFILING_INIT_FOR_SHADER(kg, event)
+#  define PROFILING_SHADER(object, shader)
+#endif /* __KERNEL_CPU__ */
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/render/CMakeLists.txt b/intern/cycles/render/CMakeLists.txt
deleted file mode 100644
index 323222b8c85..00000000000
--- a/intern/cycles/render/CMakeLists.txt
+++ /dev/null
@@ -1,180 +0,0 @@
-# Copyright 2011-2020 Blender Foundation
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-# http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-
-set(INC
-  ..
-  ../../glew-mx
-  ../../sky/include
-)
-
-set(INC_SYS
-  ${GLEW_INCLUDE_DIR}
-)
-
-set(SRC
-  alembic.cpp
-  alembic_read.cpp
-  attribute.cpp
-  background.cpp
-  bake.cpp
-  buffers.cpp
-  camera.cpp
-  colorspace.cpp
-  constant_fold.cpp
-  denoising.cpp
-  film.cpp
-  geometry.cpp
-  graph.cpp
-  hair.cpp
-  image.cpp
-  image_oiio.cpp
-  image_sky.cpp
-  image_vdb.cpp
-  integrator.cpp
-  jitter.cpp
-  light.cpp
-  merge.cpp
-  mesh.cpp
-  mesh_displace.cpp
-  mesh_subdivision.cpp
-  nodes.cpp
-  procedural.cpp
-  object.cpp
-  osl.cpp
-  particles.cpp
-  pass.cpp
-  curves.cpp
-  scene.cpp
-  session.cpp
-  shader.cpp
-  sobol.cpp
-  stats.cpp
-  svm.cpp
-  tables.cpp
-  tile.cpp
-  volume.cpp
-)
-
-set(SRC_HEADERS
-  alembic.h
-  alembic_read.h
-  attribute.h
-  bake.h
-  background.h
-  buffers.h
-  camera.h
-  colorspace.h
-  constant_fold.h
-  denoising.h
-  display_driver.h
-  output_driver.h
-  film.h
-  geometry.h
-  graph.h
-  hair.h
-  image.h
-  image_oiio.h
-  image_sky.h
-  image_vdb.h
-  integrator.h
-  light.h
-  jitter.h
-  merge.h
-  mesh.h
-  nodes.h
-  object.h
-  osl.h
-  particles.h
-  pass.h
-  procedural.h
-  curves.h
-  scene.h
-  session.h
-  shader.h
-  sobol.h
-  stats.h
-  svm.h
-  tables.h
-  tile.h
-  volume.h
-)
-
-set(LIB
-  cycles_bvh
-  cycles_device
-  cycles_integrator
-  cycles_subd
-  cycles_util
-)
-
-if(CYCLES_STANDALONE_REPOSITORY)
-  list(APPEND LIB extern_sky)
-else()
-  list(APPEND LIB bf_intern_sky)
-endif()
-
-if(WITH_CYCLES_OSL)
-  list(APPEND LIB
-    cycles_kernel_osl
-  )
-
-  SET_PROPERTY(SOURCE osl.cpp PROPERTY COMPILE_FLAGS ${RTTI_DISABLE_FLAGS})
-endif()
-
-if(WITH_OPENCOLORIO)
-  add_definitions(-DWITH_OCIO)
-  include_directories(
-    SYSTEM
-    ${OPENCOLORIO_INCLUDE_DIRS}
-  )
-  list(APPEND LIB
-    ${OPENCOLORIO_LIBRARIES}
-  )
-  if(WIN32)
-    add_definitions(-DOpenColorIO_SKIP_IMPORTS)
-  endif()
-endif()
-
-if(WITH_OPENVDB)
-  add_definitions(-DWITH_OPENVDB ${OPENVDB_DEFINITIONS})
-  list(APPEND INC_SYS
-    ${OPENVDB_INCLUDE_DIRS}
-  )
-  list(APPEND LIB
-    ${OPENVDB_LIBRARIES}
-  )
-endif()
-
-if(WITH_ALEMBIC)
-  add_definitions(-DWITH_ALEMBIC)
-  list(APPEND INC_SYS
-    ${ALEMBIC_INCLUDE_DIRS}
-  )
-  list(APPEND LIB
-    ${ALEMBIC_LIBRARIES}
-  )
-endif()
-
-if(WITH_NANOVDB)
-  list(APPEND INC_SYS
-    ${NANOVDB_INCLUDE_DIRS}
-  )
-endif()
-
-include_directories(${INC})
-include_directories(SYSTEM ${INC_SYS})
-
-add_definitions(${GL_DEFINITIONS})
-
-cycles_add_library(cycles_render "${LIB}" ${SRC} ${SRC_HEADERS})
diff --git a/intern/cycles/render/alembic.cpp b/intern/cycles/render/alembic.cpp
deleted file mode 100644
index 69bc0712674..00000000000
--- a/intern/cycles/render/alembic.cpp
+++ /dev/null
@@ -1,1431 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/alembic.h"
-
-#include "render/alembic_read.h"
-#include "render/camera.h"
-#include "render/curves.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/shader.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_progress.h"
-#include "util/util_transform.h"
-#include "util/util_vector.h"
-
-#ifdef WITH_ALEMBIC
-
-using namespace Alembic::AbcGeom;
-
-CCL_NAMESPACE_BEGIN
-
-/* TODO(kevindietrich): motion blur support. */
-
-template<typename SchemaType>
-static vector<FaceSetShaderIndexPair> parse_face_sets_for_shader_assignment(
-    SchemaType &schema, const array<Node *> &used_shaders)
-{
-  vector<FaceSetShaderIndexPair> result;
-
-  std::vector<std::string> face_set_names;
-  schema.getFaceSetNames(face_set_names);
-
-  if (face_set_names.empty()) {
-    return result;
-  }
-
-  for (const std::string &face_set_name : face_set_names) {
-    int shader_index = 0;
-
-    for (Node *node : used_shaders) {
-      if (node->name == face_set_name) {
-        break;
-      }
-
-      ++shader_index;
-    }
-
-    if (shader_index >= used_shaders.size()) {
-      /* use the first shader instead if none was found */
-      shader_index = 0;
-    }
-
-    const Alembic::AbcGeom::IFaceSet face_set = schema.getFaceSet(face_set_name);
-
-    if (!face_set.valid()) {
-      continue;
-    }
-
-    result.push_back({face_set, shader_index});
-  }
-
-  return result;
-}
-
-void CachedData::clear()
-{
-  attributes.clear();
-  curve_first_key.clear();
-  curve_keys.clear();
-  curve_radius.clear();
-  curve_shader.clear();
-  num_ngons.clear();
-  shader.clear();
-  subd_creases_edge.clear();
-  subd_creases_weight.clear();
-  subd_face_corners.clear();
-  subd_num_corners.clear();
-  subd_ptex_offset.clear();
-  subd_smooth.clear();
-  subd_start_corner.clear();
-  transforms.clear();
-  triangles.clear();
-  uv_loops.clear();
-  vertices.clear();
-
-  for (CachedAttribute &attr : attributes) {
-    attr.data.clear();
-  }
-
-  attributes.clear();
-}
-
-CachedData::CachedAttribute &CachedData::add_attribute(const ustring &name,
-                                                       const TimeSampling &time_sampling)
-{
-  for (auto &attr : attributes) {
-    if (attr.name == name) {
-      return attr;
-    }
-  }
-
-  CachedAttribute &attr = attributes.emplace_back();
-  attr.name = name;
-  attr.data.set_time_sampling(time_sampling);
-  return attr;
-}
-
-bool CachedData::is_constant() const
-{
-#  define CHECK_IF_CONSTANT(data) \
-    if (!data.is_constant()) { \
-      return false; \
-    }
-
-  CHECK_IF_CONSTANT(curve_first_key)
-  CHECK_IF_CONSTANT(curve_keys)
-  CHECK_IF_CONSTANT(curve_radius)
-  CHECK_IF_CONSTANT(curve_shader)
-  CHECK_IF_CONSTANT(num_ngons)
-  CHECK_IF_CONSTANT(shader)
-  CHECK_IF_CONSTANT(subd_creases_edge)
-  CHECK_IF_CONSTANT(subd_creases_weight)
-  CHECK_IF_CONSTANT(subd_face_corners)
-  CHECK_IF_CONSTANT(subd_num_corners)
-  CHECK_IF_CONSTANT(subd_ptex_offset)
-  CHECK_IF_CONSTANT(subd_smooth)
-  CHECK_IF_CONSTANT(subd_start_corner)
-  CHECK_IF_CONSTANT(transforms)
-  CHECK_IF_CONSTANT(triangles)
-  CHECK_IF_CONSTANT(uv_loops)
-  CHECK_IF_CONSTANT(vertices)
-
-  for (const CachedAttribute &attr : attributes) {
-    if (!attr.data.is_constant()) {
-      return false;
-    }
-  }
-
-  return true;
-
-#  undef CHECK_IF_CONSTANT
-}
-
-void CachedData::invalidate_last_loaded_time(bool attributes_only)
-{
-  if (attributes_only) {
-    for (CachedAttribute &attr : attributes) {
-      attr.data.invalidate_last_loaded_time();
-    }
-
-    return;
-  }
-
-  curve_first_key.invalidate_last_loaded_time();
-  curve_keys.invalidate_last_loaded_time();
-  curve_radius.invalidate_last_loaded_time();
-  curve_shader.invalidate_last_loaded_time();
-  num_ngons.invalidate_last_loaded_time();
-  shader.invalidate_last_loaded_time();
-  subd_creases_edge.invalidate_last_loaded_time();
-  subd_creases_weight.invalidate_last_loaded_time();
-  subd_face_corners.invalidate_last_loaded_time();
-  subd_num_corners.invalidate_last_loaded_time();
-  subd_ptex_offset.invalidate_last_loaded_time();
-  subd_smooth.invalidate_last_loaded_time();
-  subd_start_corner.invalidate_last_loaded_time();
-  transforms.invalidate_last_loaded_time();
-  triangles.invalidate_last_loaded_time();
-  uv_loops.invalidate_last_loaded_time();
-  vertices.invalidate_last_loaded_time();
-}
-
-void CachedData::set_time_sampling(TimeSampling time_sampling)
-{
-  curve_first_key.set_time_sampling(time_sampling);
-  curve_keys.set_time_sampling(time_sampling);
-  curve_radius.set_time_sampling(time_sampling);
-  curve_shader.set_time_sampling(time_sampling);
-  num_ngons.set_time_sampling(time_sampling);
-  shader.set_time_sampling(time_sampling);
-  subd_creases_edge.set_time_sampling(time_sampling);
-  subd_creases_weight.set_time_sampling(time_sampling);
-  subd_face_corners.set_time_sampling(time_sampling);
-  subd_num_corners.set_time_sampling(time_sampling);
-  subd_ptex_offset.set_time_sampling(time_sampling);
-  subd_smooth.set_time_sampling(time_sampling);
-  subd_start_corner.set_time_sampling(time_sampling);
-  transforms.set_time_sampling(time_sampling);
-  triangles.set_time_sampling(time_sampling);
-  uv_loops.set_time_sampling(time_sampling);
-  vertices.set_time_sampling(time_sampling);
-
-  for (CachedAttribute &attr : attributes) {
-    attr.data.set_time_sampling(time_sampling);
-  }
-}
-
-size_t CachedData::memory_used() const
-{
-  size_t mem_used = 0;
-
-  mem_used += curve_first_key.memory_used();
-  mem_used += curve_keys.memory_used();
-  mem_used += curve_radius.memory_used();
-  mem_used += curve_shader.memory_used();
-  mem_used += num_ngons.memory_used();
-  mem_used += shader.memory_used();
-  mem_used += subd_creases_edge.memory_used();
-  mem_used += subd_creases_weight.memory_used();
-  mem_used += subd_face_corners.memory_used();
-  mem_used += subd_num_corners.memory_used();
-  mem_used += subd_ptex_offset.memory_used();
-  mem_used += subd_smooth.memory_used();
-  mem_used += subd_start_corner.memory_used();
-  mem_used += transforms.memory_used();
-  mem_used += triangles.memory_used();
-  mem_used += uv_loops.memory_used();
-  mem_used += vertices.memory_used();
-
-  for (const CachedAttribute &attr : attributes) {
-    mem_used += attr.data.memory_used();
-  }
-
-  return mem_used;
-}
-
-static M44d convert_yup_zup(const M44d &mtx, float scale_mult)
-{
-  V3d scale, shear, rotation, translation;
-  extractSHRT(mtx,
-              scale,
-              shear,
-              rotation,
-              translation,
-              true,
-              IMATH_INTERNAL_NAMESPACE::Euler<double>::XZY);
-
-  M44d rot_mat, scale_mat, trans_mat;
-  rot_mat.setEulerAngles(V3d(rotation.x, -rotation.z, rotation.y));
-  scale_mat.setScale(V3d(scale.x, scale.z, scale.y));
-  trans_mat.setTranslation(V3d(translation.x, -translation.z, translation.y));
-
-  M44d temp_mat = scale_mat * rot_mat * trans_mat;
-
-  scale_mat.setScale(static_cast<double>(scale_mult));
-
-  return temp_mat * scale_mat;
-}
-
-static void transform_decompose(
-    const M44d &mat, V3d &scale, V3d &shear, Quatd &rotation, V3d &translation)
-{
-  M44d mat_remainder(mat);
-
-  /* extract scale and shear */
-  Imath::extractAndRemoveScalingAndShear(mat_remainder, scale, shear);
-
-  /* extract translation */
-  translation.x = mat_remainder[3][0];
-  translation.y = mat_remainder[3][1];
-  translation.z = mat_remainder[3][2];
-
-  /* extract rotation */
-  rotation = extractQuat(mat_remainder);
-}
-
-static M44d transform_compose(const V3d &scale,
-                              const V3d &shear,
-                              const Quatd &rotation,
-                              const V3d &translation)
-{
-  M44d scale_mat, shear_mat, rot_mat, trans_mat;
-
-  scale_mat.setScale(scale);
-  shear_mat.setShear(shear);
-  rot_mat = rotation.toMatrix44();
-  trans_mat.setTranslation(translation);
-
-  return scale_mat * shear_mat * rot_mat * trans_mat;
-}
-
-/* get the matrix for the specified time, or return the identity matrix if there is no exact match
- */
-static M44d get_matrix_for_time(const MatrixSampleMap &samples, chrono_t time)
-{
-  MatrixSampleMap::const_iterator iter = samples.find(time);
-  if (iter != samples.end()) {
-    return iter->second;
-  }
-
-  return M44d();
-}
-
-/* get the matrix for the specified time, or interpolate between samples if there is no exact match
- */
-static M44d get_interpolated_matrix_for_time(const MatrixSampleMap &samples, chrono_t time)
-{
-  if (samples.empty()) {
-    return M44d();
-  }
-
-  /* see if exact match */
-  MatrixSampleMap::const_iterator iter = samples.find(time);
-  if (iter != samples.end()) {
-    return iter->second;
-  }
-
-  if (samples.size() == 1) {
-    return samples.begin()->second;
-  }
-
-  if (time <= samples.begin()->first) {
-    return samples.begin()->second;
-  }
-
-  if (time >= samples.rbegin()->first) {
-    return samples.rbegin()->second;
-  }
-
-  /* find previous and next time sample to interpolate */
-  chrono_t prev_time = samples.begin()->first;
-  chrono_t next_time = samples.rbegin()->first;
-
-  for (MatrixSampleMap::const_iterator I = samples.begin(); I != samples.end(); ++I) {
-    chrono_t current_time = (*I).first;
-
-    if (current_time > prev_time && current_time <= time) {
-      prev_time = current_time;
-    }
-
-    if (current_time > next_time && current_time >= time) {
-      next_time = current_time;
-    }
-  }
-
-  const M44d prev_mat = get_matrix_for_time(samples, prev_time);
-  const M44d next_mat = get_matrix_for_time(samples, next_time);
-
-  V3d prev_scale, next_scale;
-  V3d prev_shear, next_shear;
-  V3d prev_translation, next_translation;
-  Quatd prev_rotation, next_rotation;
-
-  transform_decompose(prev_mat, prev_scale, prev_shear, prev_rotation, prev_translation);
-  transform_decompose(next_mat, next_scale, next_shear, next_rotation, next_translation);
-
-  chrono_t t = (time - prev_time) / (next_time - prev_time);
-
-  /* Ensure rotation around the shortest angle. */
-  if ((prev_rotation ^ next_rotation) < 0) {
-    next_rotation = -next_rotation;
-  }
-
-  return transform_compose(Imath::lerp(prev_scale, next_scale, t),
-                           Imath::lerp(prev_shear, next_shear, t),
-                           Imath::slerp(prev_rotation, next_rotation, t),
-                           Imath::lerp(prev_translation, next_translation, t));
-}
-
-static void concatenate_xform_samples(const MatrixSampleMap &parent_samples,
-                                      const MatrixSampleMap &local_samples,
-                                      MatrixSampleMap &output_samples)
-{
-  set<chrono_t> union_of_samples;
-
-  for (const std::pair<chrono_t, M44d> pair : parent_samples) {
-    union_of_samples.insert(pair.first);
-  }
-
-  for (const std::pair<chrono_t, M44d> pair : local_samples) {
-    union_of_samples.insert(pair.first);
-  }
-
-  foreach (chrono_t time, union_of_samples) {
-    M44d parent_matrix = get_interpolated_matrix_for_time(parent_samples, time);
-    M44d local_matrix = get_interpolated_matrix_for_time(local_samples, time);
-
-    output_samples[time] = local_matrix * parent_matrix;
-  }
-}
-
-static Transform make_transform(const M44d &a, float scale)
-{
-  M44d m = convert_yup_zup(a, scale);
-  Transform trans;
-  for (int j = 0; j < 3; j++) {
-    for (int i = 0; i < 4; i++) {
-      trans[j][i] = static_cast<float>(m[i][j]);
-    }
-  }
-  return trans;
-}
-
-NODE_DEFINE(AlembicObject)
-{
-  NodeType *type = NodeType::add("alembic_object", create);
-
-  SOCKET_STRING(path, "Alembic Path", ustring());
-  SOCKET_NODE_ARRAY(used_shaders, "Used Shaders", Shader::get_node_type());
-
-  SOCKET_BOOLEAN(ignore_subdivision, "Ignore Subdivision", true);
-
-  SOCKET_INT(subd_max_level, "Max Subdivision Level", 1);
-  SOCKET_FLOAT(subd_dicing_rate, "Subdivision Dicing Rate", 1.0f);
-
-  SOCKET_FLOAT(radius_scale, "Radius Scale", 1.0f);
-
-  return type;
-}
-
-AlembicObject::AlembicObject() : Node(get_node_type())
-{
-  schema_type = INVALID;
-}
-
-AlembicObject::~AlembicObject()
-{
-}
-
-void AlembicObject::set_object(Object *object_)
-{
-  object = object_;
-}
-
-Object *AlembicObject::get_object()
-{
-  return object;
-}
-
-bool AlembicObject::has_data_loaded() const
-{
-  return data_loaded;
-}
-
-void AlembicObject::load_data_in_cache(CachedData &cached_data,
-                                       AlembicProcedural *proc,
-                                       IPolyMeshSchema &schema,
-                                       Progress &progress)
-{
-  /* Only load data for the original Geometry. */
-  if (instance_of) {
-    return;
-  }
-
-  cached_data.clear();
-
-  PolyMeshSchemaData data;
-  data.topology_variance = schema.getTopologyVariance();
-  data.time_sampling = schema.getTimeSampling();
-  data.positions = schema.getPositionsProperty();
-  data.face_counts = schema.getFaceCountsProperty();
-  data.face_indices = schema.getFaceIndicesProperty();
-  data.normals = schema.getNormalsParam();
-  data.num_samples = schema.getNumSamples();
-  data.shader_face_sets = parse_face_sets_for_shader_assignment(schema, get_used_shaders());
-
-  read_geometry_data(proc, cached_data, data, progress);
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  /* Use the schema as the base compound property to also be able to look for top level properties.
-   */
-  read_attributes(
-      proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  cached_data.invalidate_last_loaded_time(true);
-  data_loaded = true;
-}
-
-void AlembicObject::load_data_in_cache(CachedData &cached_data,
-                                       AlembicProcedural *proc,
-                                       ISubDSchema &schema,
-                                       Progress &progress)
-{
-  /* Only load data for the original Geometry. */
-  if (instance_of) {
-    return;
-  }
-
-  cached_data.clear();
-
-  if (this->get_ignore_subdivision()) {
-    PolyMeshSchemaData data;
-    data.topology_variance = schema.getTopologyVariance();
-    data.time_sampling = schema.getTimeSampling();
-    data.positions = schema.getPositionsProperty();
-    data.face_counts = schema.getFaceCountsProperty();
-    data.face_indices = schema.getFaceIndicesProperty();
-    data.num_samples = schema.getNumSamples();
-    data.velocities = schema.getVelocitiesProperty();
-    data.shader_face_sets = parse_face_sets_for_shader_assignment(schema, get_used_shaders());
-
-    read_geometry_data(proc, cached_data, data, progress);
-
-    if (progress.get_cancel()) {
-      return;
-    }
-
-    /* Use the schema as the base compound property to also be able to look for top level
-     * properties. */
-    read_attributes(
-        proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
-
-    cached_data.invalidate_last_loaded_time(true);
-    data_loaded = true;
-    return;
-  }
-
-  SubDSchemaData data;
-  data.time_sampling = schema.getTimeSampling();
-  data.num_samples = schema.getNumSamples();
-  data.topology_variance = schema.getTopologyVariance();
-  data.face_counts = schema.getFaceCountsProperty();
-  data.face_indices = schema.getFaceIndicesProperty();
-  data.positions = schema.getPositionsProperty();
-  data.face_varying_interpolate_boundary = schema.getFaceVaryingInterpolateBoundaryProperty();
-  data.face_varying_propagate_corners = schema.getFaceVaryingPropagateCornersProperty();
-  data.interpolate_boundary = schema.getInterpolateBoundaryProperty();
-  data.crease_indices = schema.getCreaseIndicesProperty();
-  data.crease_lengths = schema.getCreaseLengthsProperty();
-  data.crease_sharpnesses = schema.getCreaseSharpnessesProperty();
-  data.corner_indices = schema.getCornerIndicesProperty();
-  data.corner_sharpnesses = schema.getCornerSharpnessesProperty();
-  data.holes = schema.getHolesProperty();
-  data.subdivision_scheme = schema.getSubdivisionSchemeProperty();
-  data.velocities = schema.getVelocitiesProperty();
-  data.shader_face_sets = parse_face_sets_for_shader_assignment(schema, get_used_shaders());
-
-  read_geometry_data(proc, cached_data, data, progress);
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  /* Use the schema as the base compound property to also be able to look for top level properties.
-   */
-  read_attributes(
-      proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
-
-  cached_data.invalidate_last_loaded_time(true);
-  data_loaded = true;
-}
-
-void AlembicObject::load_data_in_cache(CachedData &cached_data,
-                                       AlembicProcedural *proc,
-                                       const ICurvesSchema &schema,
-                                       Progress &progress)
-{
-  /* Only load data for the original Geometry. */
-  if (instance_of) {
-    return;
-  }
-
-  cached_data.clear();
-
-  CurvesSchemaData data;
-  data.positions = schema.getPositionsProperty();
-  data.position_weights = schema.getPositionWeightsProperty();
-  data.normals = schema.getNormalsParam();
-  data.knots = schema.getKnotsProperty();
-  data.orders = schema.getOrdersProperty();
-  data.widths = schema.getWidthsParam();
-  data.velocities = schema.getVelocitiesProperty();
-  data.time_sampling = schema.getTimeSampling();
-  data.topology_variance = schema.getTopologyVariance();
-  data.num_samples = schema.getNumSamples();
-  data.num_vertices = schema.getNumVerticesProperty();
-  data.default_radius = proc->get_default_radius();
-  data.radius_scale = get_radius_scale();
-
-  read_geometry_data(proc, cached_data, data, progress);
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  /* Use the schema as the base compound property to also be able to look for top level properties.
-   */
-  read_attributes(
-      proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
-
-  cached_data.invalidate_last_loaded_time(true);
-  data_loaded = true;
-}
-
-void AlembicObject::setup_transform_cache(CachedData &cached_data, float scale)
-{
-  cached_data.transforms.clear();
-  cached_data.transforms.invalidate_last_loaded_time();
-
-  if (scale == 0.0f) {
-    scale = 1.0f;
-  }
-
-  if (xform_time_sampling) {
-    cached_data.transforms.set_time_sampling(*xform_time_sampling);
-  }
-
-  if (xform_samples.size() == 0) {
-    Transform tfm = transform_scale(make_float3(scale));
-    cached_data.transforms.add_data(tfm, 0.0);
-  }
-  else {
-    /* It is possible for a leaf node of the hierarchy to have multiple samples for its transforms
-     * if a sibling has animated transforms. So check if we indeed have animated transformations.
-     */
-    M44d first_matrix = xform_samples.begin()->first;
-    bool has_animation = false;
-    for (const std::pair<chrono_t, M44d> pair : xform_samples) {
-      if (pair.second != first_matrix) {
-        has_animation = true;
-        break;
-      }
-    }
-
-    if (!has_animation) {
-      Transform tfm = make_transform(first_matrix, scale);
-      cached_data.transforms.add_data(tfm, 0.0);
-    }
-    else {
-      for (const std::pair<chrono_t, M44d> pair : xform_samples) {
-        Transform tfm = make_transform(pair.second, scale);
-        cached_data.transforms.add_data(tfm, pair.first);
-      }
-    }
-  }
-}
-
-AttributeRequestSet AlembicObject::get_requested_attributes()
-{
-  AttributeRequestSet requested_attributes;
-
-  Geometry *geometry = object->get_geometry();
-  assert(geometry);
-
-  foreach (Node *node, geometry->get_used_shaders()) {
-    Shader *shader = static_cast<Shader *>(node);
-
-    foreach (const AttributeRequest &attr, shader->attributes.requests) {
-      if (attr.name != "") {
-        requested_attributes.add(attr.name);
-      }
-    }
-  }
-
-  return requested_attributes;
-}
-
-/* Update existing attributes and remove any attribute not in the cached_data, those attributes
- * were added by Cycles (e.g. face normals) */
-static void update_attributes(AttributeSet &attributes, CachedData &cached_data, double frame_time)
-{
-  set<Attribute *> cached_attributes;
-
-  for (CachedData::CachedAttribute &attribute : cached_data.attributes) {
-    const CacheLookupResult<array<char>> result = attribute.data.data_for_time(frame_time);
-
-    if (result.has_no_data_for_time()) {
-      continue;
-    }
-
-    Attribute *attr = nullptr;
-    if (attribute.std != ATTR_STD_NONE) {
-      attr = attributes.add(attribute.std, attribute.name);
-    }
-    else {
-      attr = attributes.add(attribute.name, attribute.type_desc, attribute.element);
-    }
-    assert(attr);
-
-    cached_attributes.insert(attr);
-
-    if (!result.has_new_data()) {
-      continue;
-    }
-
-    const ccl::array<char> &attr_data = result.get_data();
-
-    /* weak way of detecting if the topology has changed
-     * todo: reuse code from device_update patch */
-    if (attr->buffer.size() != attr_data.size()) {
-      attr->buffer.resize(attr_data.size());
-    }
-
-    memcpy(attr->data(), attr_data.data(), attr_data.size());
-    attr->modified = true;
-  }
-
-  /* remove any attributes not in cached_attributes */
-  list<Attribute>::iterator it;
-  for (it = attributes.attributes.begin(); it != attributes.attributes.end();) {
-    if (cached_attributes.find(&(*it)) == cached_attributes.end()) {
-      attributes.remove(it++);
-      continue;
-    }
-
-    it++;
-  }
-}
-
-NODE_DEFINE(AlembicProcedural)
-{
-  NodeType *type = NodeType::add("alembic", create);
-
-  SOCKET_STRING(filepath, "Filename", ustring());
-  SOCKET_FLOAT(frame, "Frame", 1.0f);
-  SOCKET_FLOAT(start_frame, "Start Frame", 1.0f);
-  SOCKET_FLOAT(end_frame, "End Frame", 1.0f);
-  SOCKET_FLOAT(frame_rate, "Frame Rate", 24.0f);
-  SOCKET_FLOAT(frame_offset, "Frame Offset", 0.0f);
-  SOCKET_FLOAT(default_radius, "Default Radius", 0.01f);
-  SOCKET_FLOAT(scale, "Scale", 1.0f);
-
-  SOCKET_NODE_ARRAY(objects, "Objects", AlembicObject::get_node_type());
-
-  SOCKET_BOOLEAN(use_prefetch, "Use Prefetch", true);
-  SOCKET_INT(prefetch_cache_size, "Prefetch Cache Size", 4096);
-
-  return type;
-}
-
-AlembicProcedural::AlembicProcedural() : Procedural(get_node_type())
-{
-  objects_loaded = false;
-  scene_ = nullptr;
-}
-
-AlembicProcedural::~AlembicProcedural()
-{
-  ccl::set<Geometry *> geometries_set;
-  ccl::set<Object *> objects_set;
-  ccl::set<AlembicObject *> abc_objects_set;
-
-  foreach (Node *node, objects) {
-    AlembicObject *abc_object = static_cast<AlembicObject *>(node);
-
-    if (abc_object->get_object()) {
-      objects_set.insert(abc_object->get_object());
-
-      if (abc_object->get_object()->get_geometry()) {
-        geometries_set.insert(abc_object->get_object()->get_geometry());
-      }
-    }
-
-    delete_node(abc_object);
-  }
-
-  /* We may delete a Procedural before rendering started, so scene_ can be null. */
-  if (!scene_) {
-    assert(geometries_set.empty());
-    assert(objects_set.empty());
-    return;
-  }
-
-  scene_->delete_nodes(geometries_set, this);
-  scene_->delete_nodes(objects_set, this);
-}
-
-void AlembicProcedural::generate(Scene *scene, Progress &progress)
-{
-  assert(scene_ == nullptr || scene_ == scene);
-  scene_ = scene;
-
-  if (frame < start_frame || frame > end_frame) {
-    clear_modified();
-    return;
-  }
-
-  bool need_shader_updates = false;
-  bool need_data_updates = false;
-
-  foreach (Node *object_node, objects) {
-    AlembicObject *object = static_cast<AlembicObject *>(object_node);
-
-    if (object->is_modified()) {
-      need_data_updates = true;
-    }
-
-    /* Check if the shaders were modified. */
-    if (object->used_shaders_is_modified() && object->get_object() &&
-        object->get_object()->get_geometry()) {
-      Geometry *geometry = object->get_object()->get_geometry();
-      array<Node *> used_shaders = object->get_used_shaders();
-      geometry->set_used_shaders(used_shaders);
-      need_shader_updates = true;
-    }
-
-    /* Check for changes in shaders (e.g. newly requested attributes). */
-    foreach (Node *shader_node, object->get_used_shaders()) {
-      Shader *shader = static_cast<Shader *>(shader_node);
-
-      if (shader->need_update_geometry()) {
-        object->need_shader_update = true;
-        need_shader_updates = true;
-      }
-    }
-  }
-
-  if (!is_modified() && !need_shader_updates && !need_data_updates) {
-    return;
-  }
-
-  if (!archive.valid()) {
-    Alembic::AbcCoreFactory::IFactory factory;
-    factory.setPolicy(Alembic::Abc::ErrorHandler::kQuietNoopPolicy);
-    archive = factory.getArchive(filepath.c_str());
-
-    if (!archive.valid()) {
-      /* avoid potential infinite update loops in viewport synchronization */
-      filepath.clear();
-      clear_modified();
-      return;
-    }
-  }
-
-  if (!objects_loaded || objects_is_modified()) {
-    load_objects(progress);
-    objects_loaded = true;
-  }
-
-  const chrono_t frame_time = (chrono_t)((frame - frame_offset) / frame_rate);
-
-  /* Clear the subdivision caches as the data is stored differently. */
-  for (Node *node : objects) {
-    AlembicObject *object = static_cast<AlembicObject *>(node);
-
-    if (object->schema_type != AlembicObject::SUBD) {
-      continue;
-    }
-
-    if (object->ignore_subdivision_is_modified()) {
-      object->clear_cache();
-    }
-  }
-
-  if (use_prefetch_is_modified()) {
-    if (!use_prefetch) {
-      for (Node *node : objects) {
-        AlembicObject *object = static_cast<AlembicObject *>(node);
-        object->clear_cache();
-      }
-    }
-  }
-
-  if (prefetch_cache_size_is_modified()) {
-    /* Check whether the current memory usage fits in the new requested size,
-     * abort the render if it is any higher. */
-    size_t memory_used = 0ul;
-    for (Node *node : objects) {
-      AlembicObject *object = static_cast<AlembicObject *>(node);
-      memory_used += object->get_cached_data().memory_used();
-    }
-
-    if (memory_used > get_prefetch_cache_size_in_bytes()) {
-      progress.set_error("Error: Alembic Procedural memory limit reached");
-      return;
-    }
-  }
-
-  build_caches(progress);
-
-  foreach (Node *node, objects) {
-    AlembicObject *object = static_cast<AlembicObject *>(node);
-
-    if (progress.get_cancel()) {
-      return;
-    }
-
-    /* skip constant objects */
-    if (object->is_constant() && !object->is_modified() && !object->need_shader_update &&
-        !scale_is_modified()) {
-      continue;
-    }
-
-    if (object->schema_type == AlembicObject::POLY_MESH) {
-      read_mesh(object, frame_time);
-    }
-    else if (object->schema_type == AlembicObject::CURVES) {
-      read_curves(object, frame_time);
-    }
-    else if (object->schema_type == AlembicObject::SUBD) {
-      read_subd(object, frame_time);
-    }
-
-    object->need_shader_update = false;
-    object->clear_modified();
-  }
-
-  clear_modified();
-}
-
-void AlembicProcedural::add_object(AlembicObject *object)
-{
-  objects.push_back_slow(object);
-  tag_objects_modified();
-}
-
-void AlembicProcedural::tag_update(Scene *scene)
-{
-  scene->procedural_manager->tag_update();
-}
-
-AlembicObject *AlembicProcedural::get_or_create_object(const ustring &path)
-{
-  foreach (Node *node, objects) {
-    AlembicObject *object = static_cast<AlembicObject *>(node);
-
-    if (object->get_path() == path) {
-      return object;
-    }
-  }
-
-  AlembicObject *object = create_node<AlembicObject>();
-  object->set_path(path);
-
-  add_object(object);
-
-  return object;
-}
-
-void AlembicProcedural::load_objects(Progress &progress)
-{
-  unordered_map<string, AlembicObject *> object_map;
-
-  foreach (Node *node, objects) {
-    AlembicObject *object = static_cast<AlembicObject *>(node);
-
-    /* only consider newly added objects */
-    if (object->get_object() == nullptr) {
-      object_map.insert({object->get_path().c_str(), object});
-    }
-  }
-
-  IObject root = archive.getTop();
-
-  for (size_t i = 0; i < root.getNumChildren(); ++i) {
-    walk_hierarchy(root, root.getChildHeader(i), {}, object_map, progress);
-  }
-
-  /* Create nodes in the scene. */
-  for (std::pair<string, AlembicObject *> pair : object_map) {
-    AlembicObject *abc_object = pair.second;
-
-    Geometry *geometry = nullptr;
-
-    if (!abc_object->instance_of) {
-      if (abc_object->schema_type == AlembicObject::CURVES) {
-        geometry = scene_->create_node<Hair>();
-      }
-      else if (abc_object->schema_type == AlembicObject::POLY_MESH ||
-               abc_object->schema_type == AlembicObject::SUBD) {
-        geometry = scene_->create_node<Mesh>();
-      }
-      else {
-        continue;
-      }
-
-      geometry->set_owner(this);
-      geometry->name = abc_object->iobject.getName();
-
-      array<Node *> used_shaders = abc_object->get_used_shaders();
-      geometry->set_used_shaders(used_shaders);
-    }
-
-    Object *object = scene_->create_node<Object>();
-    object->set_owner(this);
-    object->set_geometry(geometry);
-    object->name = abc_object->iobject.getName();
-
-    abc_object->set_object(object);
-  }
-
-  /* Share geometries between instances. */
-  foreach (Node *node, objects) {
-    AlembicObject *abc_object = static_cast<AlembicObject *>(node);
-
-    if (abc_object->instance_of) {
-      abc_object->get_object()->set_geometry(
-          abc_object->instance_of->get_object()->get_geometry());
-      abc_object->schema_type = abc_object->instance_of->schema_type;
-    }
-  }
-}
-
-void AlembicProcedural::read_mesh(AlembicObject *abc_object, Abc::chrono_t frame_time)
-{
-  CachedData &cached_data = abc_object->get_cached_data();
-
-  /* update sockets */
-
-  Object *object = abc_object->get_object();
-  cached_data.transforms.copy_to_socket(frame_time, object, object->get_tfm_socket());
-
-  if (object->is_modified()) {
-    object->tag_update(scene_);
-  }
-
-  /* Only update sockets for the original Geometry. */
-  if (abc_object->instance_of) {
-    return;
-  }
-
-  Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
-
-  /* Make sure shader ids are also updated. */
-  if (mesh->used_shaders_is_modified()) {
-    mesh->tag_shader_modified();
-  }
-
-  cached_data.vertices.copy_to_socket(frame_time, mesh, mesh->get_verts_socket());
-
-  cached_data.shader.copy_to_socket(frame_time, mesh, mesh->get_shader_socket());
-
-  array<int3> *triangle_data = cached_data.triangles.data_for_time(frame_time).get_data_or_null();
-  if (triangle_data) {
-    array<int> triangles;
-    array<bool> smooth;
-
-    triangles.reserve(triangle_data->size() * 3);
-    smooth.reserve(triangle_data->size());
-
-    for (size_t i = 0; i < triangle_data->size(); ++i) {
-      int3 tri = (*triangle_data)[i];
-      triangles.push_back_reserved(tri.x);
-      triangles.push_back_reserved(tri.y);
-      triangles.push_back_reserved(tri.z);
-      smooth.push_back_reserved(1);
-    }
-
-    mesh->set_triangles(triangles);
-    mesh->set_smooth(smooth);
-  }
-
-  /* update attributes */
-
-  update_attributes(mesh->attributes, cached_data, frame_time);
-
-  if (mesh->is_modified()) {
-    bool need_rebuild = mesh->triangles_is_modified();
-    mesh->tag_update(scene_, need_rebuild);
-  }
-}
-
-void AlembicProcedural::read_subd(AlembicObject *abc_object, Abc::chrono_t frame_time)
-{
-  if (abc_object->get_ignore_subdivision()) {
-    read_mesh(abc_object, frame_time);
-    return;
-  }
-
-  CachedData &cached_data = abc_object->get_cached_data();
-
-  /* Update sockets. */
-
-  Object *object = abc_object->get_object();
-  cached_data.transforms.copy_to_socket(frame_time, object, object->get_tfm_socket());
-
-  if (object->is_modified()) {
-    object->tag_update(scene_);
-  }
-
-  /* Only update sockets for the original Geometry. */
-  if (abc_object->instance_of) {
-    return;
-  }
-
-  if (abc_object->subd_max_level_is_modified() || abc_object->subd_dicing_rate_is_modified()) {
-    /* need to reset the current data is something changed */
-    cached_data.invalidate_last_loaded_time();
-  }
-
-  Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
-
-  /* Make sure shader ids are also updated. */
-  if (mesh->used_shaders_is_modified()) {
-    mesh->tag_shader_modified();
-  }
-
-  /* Cycles overwrites the original triangles when computing displacement, so we always have to
-   * repass the data if something is animated (vertices most likely) to avoid buffer overflows. */
-  if (!cached_data.is_constant()) {
-    cached_data.invalidate_last_loaded_time();
-
-    /* remove previous triangles, if any */
-    array<int> triangles;
-    mesh->set_triangles(triangles);
-  }
-
-  mesh->clear_non_sockets();
-
-  /* Alembic is OpenSubDiv compliant, there is no option to set another subdivision type. */
-  mesh->set_subdivision_type(Mesh::SubdivisionType::SUBDIVISION_CATMULL_CLARK);
-  mesh->set_subd_max_level(abc_object->get_subd_max_level());
-  mesh->set_subd_dicing_rate(abc_object->get_subd_dicing_rate());
-
-  cached_data.vertices.copy_to_socket(frame_time, mesh, mesh->get_verts_socket());
-
-  /* cached_data.shader is also used for subd_shader */
-  cached_data.shader.copy_to_socket(frame_time, mesh, mesh->get_subd_shader_socket());
-
-  cached_data.subd_start_corner.copy_to_socket(
-      frame_time, mesh, mesh->get_subd_start_corner_socket());
-
-  cached_data.subd_num_corners.copy_to_socket(
-      frame_time, mesh, mesh->get_subd_num_corners_socket());
-
-  cached_data.subd_smooth.copy_to_socket(frame_time, mesh, mesh->get_subd_smooth_socket());
-
-  cached_data.subd_ptex_offset.copy_to_socket(
-      frame_time, mesh, mesh->get_subd_ptex_offset_socket());
-
-  cached_data.subd_face_corners.copy_to_socket(
-      frame_time, mesh, mesh->get_subd_face_corners_socket());
-
-  cached_data.num_ngons.copy_to_socket(frame_time, mesh, mesh->get_num_ngons_socket());
-
-  cached_data.subd_creases_edge.copy_to_socket(
-      frame_time, mesh, mesh->get_subd_creases_edge_socket());
-
-  cached_data.subd_creases_weight.copy_to_socket(
-      frame_time, mesh, mesh->get_subd_creases_weight_socket());
-
-  mesh->set_num_subd_faces(mesh->get_subd_shader().size());
-
-  /* Update attributes. */
-
-  update_attributes(mesh->subd_attributes, cached_data, frame_time);
-
-  if (mesh->is_modified()) {
-    bool need_rebuild = (mesh->triangles_is_modified()) ||
-                        (mesh->subd_num_corners_is_modified()) ||
-                        (mesh->subd_shader_is_modified()) || (mesh->subd_smooth_is_modified()) ||
-                        (mesh->subd_ptex_offset_is_modified()) ||
-                        (mesh->subd_start_corner_is_modified()) ||
-                        (mesh->subd_face_corners_is_modified());
-
-    mesh->tag_update(scene_, need_rebuild);
-  }
-}
-
-void AlembicProcedural::read_curves(AlembicObject *abc_object, Abc::chrono_t frame_time)
-{
-  CachedData &cached_data = abc_object->get_cached_data();
-
-  /* update sockets */
-
-  Object *object = abc_object->get_object();
-  cached_data.transforms.copy_to_socket(frame_time, object, object->get_tfm_socket());
-
-  if (object->is_modified()) {
-    object->tag_update(scene_);
-  }
-
-  /* Only update sockets for the original Geometry. */
-  if (abc_object->instance_of) {
-    return;
-  }
-
-  Hair *hair = static_cast<Hair *>(object->get_geometry());
-
-  /* Make sure shader ids are also updated. */
-  if (hair->used_shaders_is_modified()) {
-    hair->tag_curve_shader_modified();
-  }
-
-  cached_data.curve_keys.copy_to_socket(frame_time, hair, hair->get_curve_keys_socket());
-
-  cached_data.curve_radius.copy_to_socket(frame_time, hair, hair->get_curve_radius_socket());
-
-  cached_data.curve_shader.copy_to_socket(frame_time, hair, hair->get_curve_shader_socket());
-
-  cached_data.curve_first_key.copy_to_socket(frame_time, hair, hair->get_curve_first_key_socket());
-
-  /* update attributes */
-
-  update_attributes(hair->attributes, cached_data, frame_time);
-
-  const bool rebuild = (hair->curve_keys_is_modified() || hair->curve_radius_is_modified());
-  hair->tag_update(scene_, rebuild);
-}
-
-void AlembicProcedural::walk_hierarchy(
-    IObject parent,
-    const ObjectHeader &header,
-    MatrixSamplesData matrix_samples_data,
-    const unordered_map<std::string, AlembicObject *> &object_map,
-    Progress &progress)
-{
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  IObject next_object;
-
-  MatrixSampleMap concatenated_xform_samples;
-
-  if (IXform::matches(header)) {
-    IXform xform(parent, header.getName());
-
-    IXformSchema &xs = xform.getSchema();
-
-    if (xs.getNumOps() > 0) {
-      TimeSamplingPtr ts = xs.getTimeSampling();
-      MatrixSampleMap local_xform_samples;
-
-      MatrixSampleMap *temp_xform_samples = nullptr;
-      if (matrix_samples_data.samples == nullptr) {
-        /* If there is no parent transforms, fill the map directly. */
-        temp_xform_samples = &concatenated_xform_samples;
-      }
-      else {
-        /* use a temporary map */
-        temp_xform_samples = &local_xform_samples;
-      }
-
-      for (size_t i = 0; i < xs.getNumSamples(); ++i) {
-        chrono_t sample_time = ts->getSampleTime(index_t(i));
-        XformSample sample = xs.getValue(ISampleSelector(sample_time));
-        temp_xform_samples->insert({sample_time, sample.getMatrix()});
-      }
-
-      if (matrix_samples_data.samples != nullptr) {
-        concatenate_xform_samples(
-            *matrix_samples_data.samples, local_xform_samples, concatenated_xform_samples);
-      }
-
-      matrix_samples_data.samples = &concatenated_xform_samples;
-      matrix_samples_data.time_sampling = ts;
-    }
-
-    next_object = xform;
-  }
-  else if (ISubD::matches(header)) {
-    ISubD subd(parent, header.getName());
-
-    unordered_map<std::string, AlembicObject *>::const_iterator iter;
-    iter = object_map.find(subd.getFullName());
-
-    if (iter != object_map.end()) {
-      AlembicObject *abc_object = iter->second;
-      abc_object->iobject = subd;
-      abc_object->schema_type = AlembicObject::SUBD;
-
-      if (matrix_samples_data.samples) {
-        abc_object->xform_samples = *matrix_samples_data.samples;
-        abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
-      }
-    }
-
-    next_object = subd;
-  }
-  else if (IPolyMesh::matches(header)) {
-    IPolyMesh mesh(parent, header.getName());
-
-    unordered_map<std::string, AlembicObject *>::const_iterator iter;
-    iter = object_map.find(mesh.getFullName());
-
-    if (iter != object_map.end()) {
-      AlembicObject *abc_object = iter->second;
-      abc_object->iobject = mesh;
-      abc_object->schema_type = AlembicObject::POLY_MESH;
-
-      if (matrix_samples_data.samples) {
-        abc_object->xform_samples = *matrix_samples_data.samples;
-        abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
-      }
-    }
-
-    next_object = mesh;
-  }
-  else if (ICurves::matches(header)) {
-    ICurves curves(parent, header.getName());
-
-    unordered_map<std::string, AlembicObject *>::const_iterator iter;
-    iter = object_map.find(curves.getFullName());
-
-    if (iter != object_map.end()) {
-      AlembicObject *abc_object = iter->second;
-      abc_object->iobject = curves;
-      abc_object->schema_type = AlembicObject::CURVES;
-
-      if (matrix_samples_data.samples) {
-        abc_object->xform_samples = *matrix_samples_data.samples;
-        abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
-      }
-    }
-
-    next_object = curves;
-  }
-  else if (IFaceSet::matches(header)) {
-    // ignore the face set, it will be read along with the data
-  }
-  else if (IPoints::matches(header)) {
-    // unsupported for now
-  }
-  else if (INuPatch::matches(header)) {
-    // unsupported for now
-  }
-  else {
-    next_object = parent.getChild(header.getName());
-
-    if (next_object.isInstanceRoot()) {
-      unordered_map<std::string, AlembicObject *>::const_iterator iter;
-
-      /* Was this object asked to be rendered? */
-      iter = object_map.find(next_object.getFullName());
-
-      if (iter != object_map.end()) {
-        AlembicObject *abc_object = iter->second;
-
-        /* Only try to render an instance if the original object is also rendered. */
-        iter = object_map.find(next_object.instanceSourcePath());
-
-        if (iter != object_map.end()) {
-          abc_object->iobject = next_object;
-          abc_object->instance_of = iter->second;
-
-          if (matrix_samples_data.samples) {
-            abc_object->xform_samples = *matrix_samples_data.samples;
-            abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
-          }
-        }
-      }
-    }
-  }
-
-  if (next_object.valid()) {
-    for (size_t i = 0; i < next_object.getNumChildren(); ++i) {
-      walk_hierarchy(
-          next_object, next_object.getChildHeader(i), matrix_samples_data, object_map, progress);
-    }
-  }
-}
-
-void AlembicProcedural::build_caches(Progress &progress)
-{
-  size_t memory_used = 0;
-
-  for (Node *node : objects) {
-    AlembicObject *object = static_cast<AlembicObject *>(node);
-
-    if (progress.get_cancel()) {
-      return;
-    }
-
-    if (object->schema_type == AlembicObject::POLY_MESH) {
-      if (!object->has_data_loaded()) {
-        IPolyMesh polymesh(object->iobject, Alembic::Abc::kWrapExisting);
-        IPolyMeshSchema schema = polymesh.getSchema();
-        object->load_data_in_cache(object->get_cached_data(), this, schema, progress);
-      }
-      else if (object->need_shader_update) {
-        IPolyMesh polymesh(object->iobject, Alembic::Abc::kWrapExisting);
-        IPolyMeshSchema schema = polymesh.getSchema();
-        read_attributes(this,
-                        object->get_cached_data(),
-                        schema,
-                        schema.getUVsParam(),
-                        object->get_requested_attributes(),
-                        progress);
-      }
-    }
-    else if (object->schema_type == AlembicObject::CURVES) {
-      if (!object->has_data_loaded() || default_radius_is_modified() ||
-          object->radius_scale_is_modified()) {
-        ICurves curves(object->iobject, Alembic::Abc::kWrapExisting);
-        ICurvesSchema schema = curves.getSchema();
-        object->load_data_in_cache(object->get_cached_data(), this, schema, progress);
-      }
-    }
-    else if (object->schema_type == AlembicObject::SUBD) {
-      if (!object->has_data_loaded()) {
-        ISubD subd_mesh(object->iobject, Alembic::Abc::kWrapExisting);
-        ISubDSchema schema = subd_mesh.getSchema();
-        object->load_data_in_cache(object->get_cached_data(), this, schema, progress);
-      }
-      else if (object->need_shader_update) {
-        ISubD subd_mesh(object->iobject, Alembic::Abc::kWrapExisting);
-        ISubDSchema schema = subd_mesh.getSchema();
-        read_attributes(this,
-                        object->get_cached_data(),
-                        schema,
-                        schema.getUVsParam(),
-                        object->get_requested_attributes(),
-                        progress);
-      }
-    }
-
-    if (scale_is_modified() || object->get_cached_data().transforms.size() == 0) {
-      object->setup_transform_cache(object->get_cached_data(), scale);
-    }
-
-    memory_used += object->get_cached_data().memory_used();
-
-    if (use_prefetch) {
-      if (memory_used > get_prefetch_cache_size_in_bytes()) {
-        progress.set_error("Error: Alembic Procedural memory limit reached");
-        return;
-      }
-    }
-  }
-
-  VLOG(1) << "AlembicProcedural memory usage : " << string_human_readable_size(memory_used);
-}
-
-CCL_NAMESPACE_END
-
-#endif
diff --git a/intern/cycles/render/alembic.h b/intern/cycles/render/alembic.h
deleted file mode 100644
index 8e166a5ab04..00000000000
--- a/intern/cycles/render/alembic.h
+++ /dev/null
@@ -1,568 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "graph/node.h"
-#include "render/attribute.h"
-#include "render/procedural.h"
-#include "util/util_set.h"
-#include "util/util_transform.h"
-#include "util/util_vector.h"
-
-#ifdef WITH_ALEMBIC
-
-#  include <Alembic/AbcCoreFactory/All.h>
-#  include <Alembic/AbcGeom/All.h>
-
-CCL_NAMESPACE_BEGIN
-
-class AlembicProcedural;
-class Geometry;
-class Object;
-class Progress;
-class Shader;
-
-using MatrixSampleMap = std::map<Alembic::Abc::chrono_t, Alembic::Abc::M44d>;
-
-struct MatrixSamplesData {
-  MatrixSampleMap *samples = nullptr;
-  Alembic::AbcCoreAbstract::TimeSamplingPtr time_sampling;
-};
-
-/* Helpers to detect if some type is a `ccl::array`. */
-template<typename> struct is_array : public std::false_type {
-};
-
-template<typename T> struct is_array<array<T>> : public std::true_type {
-};
-
-/* Holds the data for a cache lookup at a given time, as well as information to
- * help disambiguate successes or failures to get data from the cache. */
-template<typename T> class CacheLookupResult {
-  enum class State {
-    NEW_DATA,
-    ALREADY_LOADED,
-    NO_DATA_FOR_TIME,
-  };
-
-  T *data;
-  State state;
-
- protected:
-  /* Prevent default construction outside of the class: for a valid result, we
-   * should use the static functions below. */
-  CacheLookupResult() = default;
-
- public:
-  static CacheLookupResult new_data(T *data_)
-  {
-    CacheLookupResult result;
-    result.data = data_;
-    result.state = State::NEW_DATA;
-    return result;
-  }
-
-  static CacheLookupResult no_data_found_for_time()
-  {
-    CacheLookupResult result;
-    result.data = nullptr;
-    result.state = State::NO_DATA_FOR_TIME;
-    return result;
-  }
-
-  static CacheLookupResult already_loaded()
-  {
-    CacheLookupResult result;
-    result.data = nullptr;
-    result.state = State::ALREADY_LOADED;
-    return result;
-  }
-
-  /* This should only be call if new data is available. */
-  const T &get_data() const
-  {
-    assert(state == State::NEW_DATA);
-    assert(data != nullptr);
-    return *data;
-  }
-
-  T *get_data_or_null() const
-  {
-    // data_ should already be null if there is no new data so no need to check
-    return data;
-  }
-
-  bool has_new_data() const
-  {
-    return state == State::NEW_DATA;
-  }
-
-  bool has_already_loaded() const
-  {
-    return state == State::ALREADY_LOADED;
-  }
-
-  bool has_no_data_for_time() const
-  {
-    return state == State::NO_DATA_FOR_TIME;
-  }
-};
-
-/* Store the data set for an animation at every time points, or at the beginning of the animation
- * for constant data.
- *
- * The data is supposed to be stored in chronological order, and is looked up using the current
- * animation time in seconds using the TimeSampling from the Alembic property. */
-template<typename T> class DataStore {
-  /* Holds information to map a cache entry for a given time to an index into the data array. */
-  struct TimeIndexPair {
-    /* Frame time for this entry. */
-    double time = 0;
-    /* Frame time for the data pointed to by `index`. */
-    double source_time = 0;
-    /* Index into the data array. */
-    size_t index = 0;
-  };
-
-  /* This is the actual data that is stored. We deduplicate data across frames to avoid storing
-   * values if they have not changed yet (e.g. the triangles for a building before fracturing, or a
-   * fluid simulation before a break or splash) */
-  vector<T> data{};
-
-  /* This is used to map they entry for a given time to an index into the data array, multiple
-   * frames can point to the same index. */
-  vector<TimeIndexPair> index_data_map{};
-
-  Alembic::AbcCoreAbstract::TimeSampling time_sampling{};
-
-  double last_loaded_time = std::numeric_limits<double>::max();
-
- public:
-  /* Keys used to compare values. */
-  Alembic::AbcCoreAbstract::ArraySample::Key key1;
-  Alembic::AbcCoreAbstract::ArraySample::Key key2;
-
-  void set_time_sampling(Alembic::AbcCoreAbstract::TimeSampling time_sampling_)
-  {
-    time_sampling = time_sampling_;
-  }
-
-  Alembic::AbcCoreAbstract::TimeSampling get_time_sampling() const
-  {
-    return time_sampling;
-  }
-
-  /* Get the data for the specified time.
-   * Return nullptr if there is no data or if the data for this time was already loaded. */
-  CacheLookupResult<T> data_for_time(double time)
-  {
-    if (size() == 0) {
-      return CacheLookupResult<T>::no_data_found_for_time();
-    }
-
-    const TimeIndexPair &index = get_index_for_time(time);
-
-    if (index.index == -1ul) {
-      return CacheLookupResult<T>::no_data_found_for_time();
-    }
-
-    if (last_loaded_time == index.time || last_loaded_time == index.source_time) {
-      return CacheLookupResult<T>::already_loaded();
-    }
-
-    last_loaded_time = index.source_time;
-
-    assert(index.index < data.size());
-
-    return CacheLookupResult<T>::new_data(&data[index.index]);
-  }
-
-  /* get the data for the specified time, but do not check if the data was already loaded for this
-   * time return nullptr if there is no data */
-  CacheLookupResult<T> data_for_time_no_check(double time)
-  {
-    if (size() == 0) {
-      return CacheLookupResult<T>::no_data_found_for_time();
-    }
-
-    const TimeIndexPair &index = get_index_for_time(time);
-
-    if (index.index == -1ul) {
-      return CacheLookupResult<T>::no_data_found_for_time();
-    }
-
-    assert(index.index < data.size());
-
-    return CacheLookupResult<T>::new_data(&data[index.index]);
-  }
-
-  void add_data(T &data_, double time)
-  {
-    index_data_map.push_back({time, time, data.size()});
-
-    if constexpr (is_array<T>::value) {
-      data.emplace_back();
-      data.back().steal_data(data_);
-      return;
-    }
-
-    data.push_back(data_);
-  }
-
-  void reuse_data_for_last_time(double time)
-  {
-    const TimeIndexPair &data_index = index_data_map.back();
-    index_data_map.push_back({time, data_index.source_time, data_index.index});
-  }
-
-  void add_no_data(double time)
-  {
-    index_data_map.push_back({time, time, -1ul});
-  }
-
-  bool is_constant() const
-  {
-    return data.size() <= 1;
-  }
-
-  size_t size() const
-  {
-    return data.size();
-  }
-
-  void clear()
-  {
-    invalidate_last_loaded_time();
-    data.clear();
-    index_data_map.clear();
-  }
-
-  void invalidate_last_loaded_time()
-  {
-    last_loaded_time = std::numeric_limits<double>::max();
-  }
-
-  /* Copy the data for the specified time to the node's socket. If there is no
-   * data for this time or it was already loaded, do nothing. */
-  void copy_to_socket(double time, Node *node, const SocketType *socket)
-  {
-    CacheLookupResult<T> result = data_for_time(time);
-
-    if (!result.has_new_data()) {
-      return;
-    }
-
-    /* TODO(kevindietrich): arrays are emptied when passed to the sockets, so for now we copy the
-     * arrays to avoid reloading the data */
-    T value = result.get_data();
-    node->set(*socket, value);
-  }
-
-  size_t memory_used() const
-  {
-    if constexpr (is_array<T>::value) {
-      size_t mem_used = 0;
-
-      for (const T &array : data) {
-        mem_used += array.size() * sizeof(array[0]);
-      }
-
-      return mem_used;
-    }
-
-    return data.size() * sizeof(T);
-  }
-
- private:
-  const TimeIndexPair &get_index_for_time(double time) const
-  {
-    std::pair<size_t, Alembic::Abc::chrono_t> index_pair;
-    index_pair = time_sampling.getNearIndex(time, index_data_map.size());
-    return index_data_map[index_pair.first];
-  }
-};
-
-/* Actual cache for the stored data.
- * This caches the topological, transformation, and attribute data for a Mesh node or a Hair node
- * inside of DataStores.
- */
-struct CachedData {
-  DataStore<Transform> transforms{};
-
-  /* mesh data */
-  DataStore<array<float3>> vertices;
-  DataStore<array<int3>> triangles{};
-  /* triangle "loops" are the polygons' vertices indices used for indexing face varying attributes
-   * (like UVs) */
-  DataStore<array<int>> uv_loops{};
-  DataStore<array<int>> shader{};
-
-  /* subd data */
-  DataStore<array<int>> subd_start_corner;
-  DataStore<array<int>> subd_num_corners;
-  DataStore<array<bool>> subd_smooth;
-  DataStore<array<int>> subd_ptex_offset;
-  DataStore<array<int>> subd_face_corners;
-  DataStore<int> num_ngons;
-  DataStore<array<int>> subd_creases_edge;
-  DataStore<array<float>> subd_creases_weight;
-
-  /* hair data */
-  DataStore<array<float3>> curve_keys;
-  DataStore<array<float>> curve_radius;
-  DataStore<array<int>> curve_first_key;
-  DataStore<array<int>> curve_shader;
-
-  struct CachedAttribute {
-    AttributeStandard std;
-    AttributeElement element;
-    TypeDesc type_desc;
-    ustring name;
-    DataStore<array<char>> data{};
-  };
-
-  vector<CachedAttribute> attributes{};
-
-  void clear();
-
-  CachedAttribute &add_attribute(const ustring &name,
-                                 const Alembic::Abc::TimeSampling &time_sampling);
-
-  bool is_constant() const;
-
-  void invalidate_last_loaded_time(bool attributes_only = false);
-
-  void set_time_sampling(Alembic::AbcCoreAbstract::TimeSampling time_sampling);
-
-  size_t memory_used() const;
-};
-
-/* Representation of an Alembic object for the AlembicProcedural.
- *
- * The AlembicObject holds the path to the Alembic IObject inside of the archive that is desired
- * for rendering, as well as the list of shaders that it is using.
- *
- * The names of the shaders should correspond to the names of the FaceSets inside of the Alembic
- * archive for per-triangle shader association. If there is no FaceSets, or the names do not
- * match, the first shader is used for rendering for all triangles.
- */
-class AlembicObject : public Node {
- public:
-  NODE_DECLARE
-
-  /* Path to the IObject inside of the archive. */
-  NODE_SOCKET_API(ustring, path)
-
-  /* Shaders used for rendering. */
-  NODE_SOCKET_API_ARRAY(array<Node *>, used_shaders)
-
-  /* Treat this subdivision object as a regular polygon mesh, so no subdivision will be performed.
-   */
-  NODE_SOCKET_API(bool, ignore_subdivision)
-
-  /* Maximum number of subdivisions for ISubD objects. */
-  NODE_SOCKET_API(int, subd_max_level)
-
-  /* Finest level of detail (in pixels) for the subdivision. */
-  NODE_SOCKET_API(float, subd_dicing_rate)
-
-  /* Scale the radius of points and curves. */
-  NODE_SOCKET_API(float, radius_scale)
-
-  AlembicObject();
-  ~AlembicObject();
-
- private:
-  friend class AlembicProcedural;
-
-  void set_object(Object *object);
-  Object *get_object();
-
-  void load_data_in_cache(CachedData &cached_data,
-                          AlembicProcedural *proc,
-                          Alembic::AbcGeom::IPolyMeshSchema &schema,
-                          Progress &progress);
-  void load_data_in_cache(CachedData &cached_data,
-                          AlembicProcedural *proc,
-                          Alembic::AbcGeom::ISubDSchema &schema,
-                          Progress &progress);
-  void load_data_in_cache(CachedData &cached_data,
-                          AlembicProcedural *proc,
-                          const Alembic::AbcGeom::ICurvesSchema &schema,
-                          Progress &progress);
-
-  bool has_data_loaded() const;
-
-  /* Enumeration used to speed up the discrimination of an IObject as IObject::matches() methods
-   * are too expensive and show up in profiles. */
-  enum AbcSchemaType {
-    INVALID,
-    POLY_MESH,
-    SUBD,
-    CURVES,
-  };
-
-  bool need_shader_update = true;
-
-  AlembicObject *instance_of = nullptr;
-
-  Alembic::AbcCoreAbstract::TimeSamplingPtr xform_time_sampling;
-  MatrixSampleMap xform_samples;
-  Alembic::AbcGeom::IObject iobject;
-
-  /* Set if the path points to a valid IObject whose type is supported. */
-  AbcSchemaType schema_type;
-
-  CachedData &get_cached_data()
-  {
-    return cached_data_;
-  }
-
-  bool is_constant() const
-  {
-    return cached_data_.is_constant();
-  }
-
-  void clear_cache()
-  {
-    cached_data_.clear();
-  }
-
-  Object *object = nullptr;
-
-  bool data_loaded = false;
-
-  CachedData cached_data_;
-
-  void setup_transform_cache(CachedData &cached_data, float scale);
-
-  AttributeRequestSet get_requested_attributes();
-};
-
-/* Procedural to render objects from a single Alembic archive.
- *
- * Every object desired to be rendered should be passed as an AlembicObject through the objects
- * socket.
- *
- * This procedural will load the data set for the entire animation in memory on the first frame,
- * and directly set the data for the new frames on the created Nodes if needed. This allows for
- * faster updates between frames as it avoids reseeking the data on disk.
- */
-class AlembicProcedural : public Procedural {
-  Alembic::AbcGeom::IArchive archive;
-  bool objects_loaded;
-  Scene *scene_;
-
- public:
-  NODE_DECLARE
-
-  /* The file path to the Alembic archive */
-  NODE_SOCKET_API(ustring, filepath)
-
-  /* The current frame to render. */
-  NODE_SOCKET_API(float, frame)
-
-  /* The first frame to load data for. */
-  NODE_SOCKET_API(float, start_frame)
-
-  /* The last frame to load data for. */
-  NODE_SOCKET_API(float, end_frame)
-
-  /* Subtracted to the current frame. */
-  NODE_SOCKET_API(float, frame_offset)
-
-  /* The frame rate used for rendering in units of frames per second. */
-  NODE_SOCKET_API(float, frame_rate)
-
-  /* List of AlembicObjects to render. */
-  NODE_SOCKET_API_ARRAY(array<Node *>, objects)
-
-  /* Set the default radius to use for curves when the Alembic Curves Schemas do not have radius
-   * information. */
-  NODE_SOCKET_API(float, default_radius)
-
-  /* Multiplier to account for differences in default units for measuring objects in various
-   * software. */
-  NODE_SOCKET_API(float, scale)
-
-  /* Cache controls */
-  NODE_SOCKET_API(bool, use_prefetch)
-
-  /* Memory limit for the cache, if the data does not fit within this limit, rendering is aborted.
-   */
-  NODE_SOCKET_API(int, prefetch_cache_size)
-
-  AlembicProcedural();
-  ~AlembicProcedural();
-
-  /* Populates the Cycles scene with Nodes for every contained AlembicObject on the first
-   * invocation, and updates the data on subsequent invocations if the frame changed. */
-  void generate(Scene *scene, Progress &progress);
-
-  /* Tag for an update only if something was modified. */
-  void tag_update(Scene *scene);
-
-  /* This should be called by scene exporters to request the rendering of an object located
-   * in the Alembic archive at the given path.
-   *
-   * Since we lazily load object, the function does not validate the existence of the object
-   * in the archive. If no objects with such path if found in the archive during the next call
-   * to `generate`, it will be ignored.
-   *
-   * Returns a pointer to an existing or a newly created AlembicObject for the given path. */
-  AlembicObject *get_or_create_object(const ustring &path);
-
- private:
-  /* Add an object to our list of objects, and tag the socket as modified. */
-  void add_object(AlembicObject *object);
-
-  /* Load the data for all the objects whose data has not yet been loaded. */
-  void load_objects(Progress &progress);
-
-  /* Traverse the Alembic hierarchy to lookup the IObjects for the AlembicObjects that were
-   * specified in our objects socket, and accumulate all of the transformations samples along the
-   * way for each IObject. */
-  void walk_hierarchy(Alembic::AbcGeom::IObject parent,
-                      const Alembic::AbcGeom::ObjectHeader &ohead,
-                      MatrixSamplesData matrix_samples_data,
-                      const unordered_map<string, AlembicObject *> &object_map,
-                      Progress &progress);
-
-  /* Read the data for an IPolyMesh at the specified frame_time. Creates corresponding Geometry and
-   * Object Nodes in the Cycles scene if none exist yet. */
-  void read_mesh(AlembicObject *abc_object, Alembic::AbcGeom::Abc::chrono_t frame_time);
-
-  /* Read the data for an ICurves at the specified frame_time. Creates corresponding Geometry and
-   * Object Nodes in the Cycles scene if none exist yet. */
-  void read_curves(AlembicObject *abc_object, Alembic::AbcGeom::Abc::chrono_t frame_time);
-
-  /* Read the data for an ISubD at the specified frame_time. Creates corresponding Geometry and
-   * Object Nodes in the Cycles scene if none exist yet. */
-  void read_subd(AlembicObject *abc_object, Alembic::AbcGeom::Abc::chrono_t frame_time);
-
-  void build_caches(Progress &progress);
-
-  size_t get_prefetch_cache_size_in_bytes() const
-  {
-    /* prefetch_cache_size is in megabytes, so convert to bytes. */
-    return static_cast<size_t>(prefetch_cache_size) * 1024 * 1024;
-  }
-};
-
-CCL_NAMESPACE_END
-
-#endif
diff --git a/intern/cycles/render/alembic_read.cpp b/intern/cycles/render/alembic_read.cpp
deleted file mode 100644
index b105af63b44..00000000000
--- a/intern/cycles/render/alembic_read.cpp
+++ /dev/null
@@ -1,1037 +0,0 @@
-/*
- * Copyright 2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/alembic_read.h"
-
-#include "render/alembic.h"
-#include "render/mesh.h"
-
-#include "util/util_progress.h"
-
-#ifdef WITH_ALEMBIC
-
-using namespace Alembic::AbcGeom;
-
-CCL_NAMESPACE_BEGIN
-
-static float3 make_float3_from_yup(const V3f &v)
-{
-  return make_float3(v.x, -v.z, v.y);
-}
-
-/* get the sample times to load data for the given the start and end frame of the procedural */
-static set<chrono_t> get_relevant_sample_times(AlembicProcedural *proc,
-                                               const TimeSampling &time_sampling,
-                                               size_t num_samples)
-{
-  set<chrono_t> result;
-
-  if (num_samples < 2) {
-    result.insert(0.0);
-    return result;
-  }
-
-  double start_frame;
-  double end_frame;
-
-  if (proc->get_use_prefetch()) {
-    // load the data for the entire animation
-    start_frame = static_cast<double>(proc->get_start_frame());
-    end_frame = static_cast<double>(proc->get_end_frame());
-  }
-  else {
-    // load the data for the current frame
-    start_frame = static_cast<double>(proc->get_frame());
-    end_frame = start_frame;
-  }
-
-  const double frame_rate = static_cast<double>(proc->get_frame_rate());
-  const double start_time = start_frame / frame_rate;
-  const double end_time = (end_frame + 1) / frame_rate;
-
-  const size_t start_index = time_sampling.getFloorIndex(start_time, num_samples).first;
-  const size_t end_index = time_sampling.getCeilIndex(end_time, num_samples).first;
-
-  for (size_t i = start_index; i < end_index; ++i) {
-    result.insert(time_sampling.getSampleTime(i));
-  }
-
-  return result;
-}
-
-/* Main function to read data, this will iterate over all the relevant sample times for the
- * duration of the requested animation, and call the DataReadingFunc for each of those sample time.
- */
-template<typename Params, typename DataReadingFunc>
-static void read_data_loop(AlembicProcedural *proc,
-                           CachedData &cached_data,
-                           const Params &params,
-                           DataReadingFunc &&func,
-                           Progress &progress)
-{
-  const std::set<chrono_t> times = get_relevant_sample_times(
-      proc, *params.time_sampling, params.num_samples);
-
-  cached_data.set_time_sampling(*params.time_sampling);
-
-  for (chrono_t time : times) {
-    if (progress.get_cancel()) {
-      return;
-    }
-
-    func(cached_data, params, time);
-  }
-}
-
-/* Polygon Mesh Geometries. */
-
-/* Compute the vertex normals in case none are present in the IPolyMeshSchema, this is mostly used
- * to avoid computing them in the GeometryManager in order to speed up data updates. */
-static void compute_vertex_normals(CachedData &cache, double current_time)
-{
-  if (cache.vertices.size() == 0) {
-    return;
-  }
-
-  CachedData::CachedAttribute &attr_normal = cache.add_attribute(
-      ustring("N"), cache.vertices.get_time_sampling());
-  attr_normal.std = ATTR_STD_VERTEX_NORMAL;
-  attr_normal.element = ATTR_ELEMENT_VERTEX;
-  attr_normal.type_desc = TypeNormal;
-
-  const array<float3> *vertices =
-      cache.vertices.data_for_time_no_check(current_time).get_data_or_null();
-  const array<int3> *triangles =
-      cache.triangles.data_for_time_no_check(current_time).get_data_or_null();
-
-  if (!vertices || !triangles) {
-    attr_normal.data.add_no_data(current_time);
-    return;
-  }
-
-  array<char> attr_data(vertices->size() * sizeof(float3));
-  float3 *attr_ptr = reinterpret_cast<float3 *>(attr_data.data());
-  memset(attr_ptr, 0, vertices->size() * sizeof(float3));
-
-  for (size_t t = 0; t < triangles->size(); ++t) {
-    const int3 tri_int3 = triangles->data()[t];
-    Mesh::Triangle tri{};
-    tri.v[0] = tri_int3[0];
-    tri.v[1] = tri_int3[1];
-    tri.v[2] = tri_int3[2];
-
-    const float3 tri_N = tri.compute_normal(vertices->data());
-
-    for (int v = 0; v < 3; ++v) {
-      attr_ptr[tri_int3[v]] += tri_N;
-    }
-  }
-
-  for (size_t v = 0; v < vertices->size(); ++v) {
-    attr_ptr[v] = normalize(attr_ptr[v]);
-  }
-
-  attr_normal.data.add_data(attr_data, current_time);
-}
-
-static void add_normals(const Int32ArraySamplePtr face_indices,
-                        const IN3fGeomParam &normals,
-                        double time,
-                        CachedData &cached_data)
-{
-  switch (normals.getScope()) {
-    case kFacevaryingScope: {
-      const ISampleSelector iss = ISampleSelector(time);
-      const IN3fGeomParam::Sample sample = normals.getExpandedValue(iss);
-
-      if (!sample.valid()) {
-        return;
-      }
-
-      CachedData::CachedAttribute &attr = cached_data.add_attribute(ustring(normals.getName()),
-                                                                    *normals.getTimeSampling());
-      attr.std = ATTR_STD_VERTEX_NORMAL;
-
-      const array<float3> *vertices =
-          cached_data.vertices.data_for_time_no_check(time).get_data_or_null();
-
-      if (!vertices) {
-        return;
-      }
-
-      array<char> data;
-      data.resize(vertices->size() * sizeof(float3));
-
-      float3 *data_float3 = reinterpret_cast<float3 *>(data.data());
-
-      const int *face_indices_array = face_indices->get();
-      const N3fArraySamplePtr values = sample.getVals();
-
-      for (size_t i = 0; i < face_indices->size(); ++i) {
-        int point_index = face_indices_array[i];
-        data_float3[point_index] = make_float3_from_yup(values->get()[i]);
-      }
-
-      attr.data.add_data(data, time);
-      break;
-    }
-    case kVaryingScope:
-    case kVertexScope: {
-      const ISampleSelector iss = ISampleSelector(time);
-      const IN3fGeomParam::Sample sample = normals.getExpandedValue(iss);
-
-      if (!sample.valid()) {
-        return;
-      }
-
-      CachedData::CachedAttribute &attr = cached_data.add_attribute(ustring(normals.getName()),
-                                                                    *normals.getTimeSampling());
-      attr.std = ATTR_STD_VERTEX_NORMAL;
-
-      const array<float3> *vertices =
-          cached_data.vertices.data_for_time_no_check(time).get_data_or_null();
-
-      if (!vertices) {
-        return;
-      }
-
-      array<char> data;
-      data.resize(vertices->size() * sizeof(float3));
-
-      float3 *data_float3 = reinterpret_cast<float3 *>(data.data());
-
-      const Imath::V3f *values = sample.getVals()->get();
-
-      for (size_t i = 0; i < vertices->size(); ++i) {
-        data_float3[i] = make_float3_from_yup(values[i]);
-      }
-
-      attr.data.add_data(data, time);
-
-      break;
-    }
-    default: {
-      break;
-    }
-  }
-}
-
-static void add_positions(const P3fArraySamplePtr positions, double time, CachedData &cached_data)
-{
-  if (!positions) {
-    return;
-  }
-
-  array<float3> vertices;
-  vertices.reserve(positions->size());
-
-  for (size_t i = 0; i < positions->size(); i++) {
-    V3f f = positions->get()[i];
-    vertices.push_back_reserved(make_float3_from_yup(f));
-  }
-
-  cached_data.vertices.add_data(vertices, time);
-}
-
-static void add_triangles(const Int32ArraySamplePtr face_counts,
-                          const Int32ArraySamplePtr face_indices,
-                          double time,
-                          CachedData &cached_data,
-                          const array<int> &polygon_to_shader)
-{
-  if (!face_counts || !face_indices) {
-    return;
-  }
-
-  const size_t num_faces = face_counts->size();
-  const int *face_counts_array = face_counts->get();
-  const int *face_indices_array = face_indices->get();
-
-  size_t num_triangles = 0;
-  for (size_t i = 0; i < face_counts->size(); i++) {
-    num_triangles += face_counts_array[i] - 2;
-  }
-
-  array<int> shader;
-  array<int3> triangles;
-  array<int> uv_loops;
-  shader.reserve(num_triangles);
-  triangles.reserve(num_triangles);
-  uv_loops.reserve(num_triangles * 3);
-  int index_offset = 0;
-
-  for (size_t i = 0; i < num_faces; i++) {
-    int current_shader = 0;
-
-    if (!polygon_to_shader.empty()) {
-      current_shader = polygon_to_shader[i];
-    }
-
-    for (int j = 0; j < face_counts_array[i] - 2; j++) {
-      int v0 = face_indices_array[index_offset];
-      int v1 = face_indices_array[index_offset + j + 1];
-      int v2 = face_indices_array[index_offset + j + 2];
-
-      shader.push_back_reserved(current_shader);
-
-      /* Alembic orders the loops following the RenderMan convention, so need to go in reverse. */
-      triangles.push_back_reserved(make_int3(v2, v1, v0));
-      uv_loops.push_back_reserved(index_offset + j + 2);
-      uv_loops.push_back_reserved(index_offset + j + 1);
-      uv_loops.push_back_reserved(index_offset);
-    }
-
-    index_offset += face_counts_array[i];
-  }
-
-  cached_data.triangles.add_data(triangles, time);
-  cached_data.uv_loops.add_data(uv_loops, time);
-  cached_data.shader.add_data(shader, time);
-}
-
-static array<int> compute_polygon_to_shader_map(
-    const Int32ArraySamplePtr &face_counts,
-    const vector<FaceSetShaderIndexPair> &face_set_shader_index,
-    ISampleSelector sample_sel)
-{
-  if (face_set_shader_index.empty()) {
-    return {};
-  }
-
-  if (!face_counts) {
-    return {};
-  }
-
-  if (face_counts->size() == 0) {
-    return {};
-  }
-
-  array<int> polygon_to_shader(face_counts->size());
-
-  for (const FaceSetShaderIndexPair &pair : face_set_shader_index) {
-    const IFaceSet &face_set = pair.face_set;
-    const IFaceSetSchema face_schem = face_set.getSchema();
-    const IFaceSetSchema::Sample face_sample = face_schem.getValue(sample_sel);
-    const Int32ArraySamplePtr group_faces = face_sample.getFaces();
-    const size_t num_group_faces = group_faces->size();
-
-    for (size_t l = 0; l < num_group_faces; l++) {
-      size_t pos = (*group_faces)[l];
-
-      if (pos >= polygon_to_shader.size()) {
-        continue;
-      }
-
-      polygon_to_shader[pos] = pair.shader_index;
-    }
-  }
-
-  return polygon_to_shader;
-}
-
-static void read_poly_mesh_geometry(CachedData &cached_data,
-                                    const PolyMeshSchemaData &data,
-                                    chrono_t time)
-{
-  const ISampleSelector iss = ISampleSelector(time);
-
-  add_positions(data.positions.getValue(iss), time, cached_data);
-
-  const Int32ArraySamplePtr face_counts = data.face_counts.getValue(iss);
-  const Int32ArraySamplePtr face_indices = data.face_indices.getValue(iss);
-
-  /* Only copy triangles for other frames if the topology is changing over time as well. */
-  if (data.topology_variance != kHomogeneousTopology || cached_data.triangles.size() == 0) {
-    bool do_triangles = true;
-
-    /* Compare key with last one to check whether the topology changed. */
-    if (cached_data.triangles.size() > 0) {
-      const ArraySample::Key key = face_indices->getKey();
-
-      if (key == cached_data.triangles.key1) {
-        do_triangles = false;
-      }
-
-      cached_data.triangles.key1 = key;
-    }
-
-    if (do_triangles) {
-      const array<int> polygon_to_shader = compute_polygon_to_shader_map(
-          face_counts, data.shader_face_sets, iss);
-      add_triangles(face_counts, face_indices, time, cached_data, polygon_to_shader);
-    }
-    else {
-      cached_data.triangles.reuse_data_for_last_time(time);
-      cached_data.uv_loops.reuse_data_for_last_time(time);
-      cached_data.shader.reuse_data_for_last_time(time);
-    }
-
-    /* Initialize the first key. */
-    if (data.topology_variance != kHomogeneousTopology && cached_data.triangles.size() == 1) {
-      cached_data.triangles.key1 = face_indices->getKey();
-    }
-  }
-
-  if (data.normals.valid()) {
-    add_normals(face_indices, data.normals, time, cached_data);
-  }
-  else {
-    compute_vertex_normals(cached_data, time);
-  }
-}
-
-void read_geometry_data(AlembicProcedural *proc,
-                        CachedData &cached_data,
-                        const PolyMeshSchemaData &data,
-                        Progress &progress)
-{
-  read_data_loop(proc, cached_data, data, read_poly_mesh_geometry, progress);
-}
-
-/* Subdivision Geometries */
-
-static void add_subd_polygons(CachedData &cached_data, const SubDSchemaData &data, chrono_t time)
-{
-  const ISampleSelector iss = ISampleSelector(time);
-
-  const Int32ArraySamplePtr face_counts = data.face_counts.getValue(iss);
-  const Int32ArraySamplePtr face_indices = data.face_indices.getValue(iss);
-
-  array<int> subd_start_corner;
-  array<int> shader;
-  array<int> subd_num_corners;
-  array<bool> subd_smooth;
-  array<int> subd_ptex_offset;
-  array<int> subd_face_corners;
-  array<int> uv_loops;
-
-  const size_t num_faces = face_counts->size();
-  const int *face_counts_array = face_counts->get();
-  const int *face_indices_array = face_indices->get();
-
-  int num_ngons = 0;
-  int num_corners = 0;
-  for (size_t i = 0; i < face_counts->size(); i++) {
-    num_ngons += (face_counts_array[i] == 4 ? 0 : 1);
-    num_corners += face_counts_array[i];
-  }
-
-  subd_start_corner.reserve(num_faces);
-  subd_num_corners.reserve(num_faces);
-  subd_smooth.reserve(num_faces);
-  subd_ptex_offset.reserve(num_faces);
-  shader.reserve(num_faces);
-  subd_face_corners.reserve(num_corners);
-  uv_loops.reserve(num_corners);
-
-  int start_corner = 0;
-  int current_shader = 0;
-  int ptex_offset = 0;
-
-  const array<int> polygon_to_shader = compute_polygon_to_shader_map(
-      face_counts, data.shader_face_sets, iss);
-
-  for (size_t i = 0; i < face_counts->size(); i++) {
-    num_corners = face_counts_array[i];
-
-    if (!polygon_to_shader.empty()) {
-      current_shader = polygon_to_shader[i];
-    }
-
-    subd_start_corner.push_back_reserved(start_corner);
-    subd_num_corners.push_back_reserved(num_corners);
-
-    for (int j = 0; j < num_corners; ++j) {
-      subd_face_corners.push_back_reserved(face_indices_array[start_corner + j]);
-      uv_loops.push_back_reserved(start_corner + j);
-    }
-
-    shader.push_back_reserved(current_shader);
-    subd_smooth.push_back_reserved(1);
-    subd_ptex_offset.push_back_reserved(ptex_offset);
-
-    ptex_offset += (num_corners == 4 ? 1 : num_corners);
-
-    start_corner += num_corners;
-  }
-
-  cached_data.shader.add_data(shader, time);
-  cached_data.subd_start_corner.add_data(subd_start_corner, time);
-  cached_data.subd_num_corners.add_data(subd_num_corners, time);
-  cached_data.subd_smooth.add_data(subd_smooth, time);
-  cached_data.subd_ptex_offset.add_data(subd_ptex_offset, time);
-  cached_data.subd_face_corners.add_data(subd_face_corners, time);
-  cached_data.num_ngons.add_data(num_ngons, time);
-  cached_data.uv_loops.add_data(uv_loops, time);
-}
-
-static void add_subd_creases(CachedData &cached_data, const SubDSchemaData &data, chrono_t time)
-{
-  if (!(data.crease_indices.valid() && data.crease_indices.valid() &&
-        data.crease_sharpnesses.valid())) {
-    return;
-  }
-
-  const ISampleSelector iss = ISampleSelector(time);
-
-  const Int32ArraySamplePtr creases_length = data.crease_lengths.getValue(iss);
-  const Int32ArraySamplePtr creases_indices = data.crease_indices.getValue(iss);
-  const FloatArraySamplePtr creases_sharpnesses = data.crease_sharpnesses.getValue(iss);
-
-  if (creases_length && creases_indices && creases_sharpnesses) {
-    array<int> creases_edge;
-    array<float> creases_weight;
-
-    creases_edge.reserve(creases_sharpnesses->size() * 2);
-    creases_weight.reserve(creases_sharpnesses->size());
-
-    int length_offset = 0;
-    int weight_offset = 0;
-    for (size_t c = 0; c < creases_length->size(); ++c) {
-      const int crease_length = creases_length->get()[c];
-
-      for (size_t j = 0; j < crease_length - 1; ++j) {
-        creases_edge.push_back_reserved(creases_indices->get()[length_offset + j]);
-        creases_edge.push_back_reserved(creases_indices->get()[length_offset + j + 1]);
-        creases_weight.push_back_reserved(creases_sharpnesses->get()[weight_offset++]);
-      }
-
-      length_offset += crease_length;
-    }
-
-    cached_data.subd_creases_edge.add_data(creases_edge, time);
-    cached_data.subd_creases_weight.add_data(creases_weight, time);
-  }
-}
-
-static void read_subd_geometry(CachedData &cached_data, const SubDSchemaData &data, chrono_t time)
-{
-  const ISampleSelector iss = ISampleSelector(time);
-
-  add_positions(data.positions.getValue(iss), time, cached_data);
-
-  if (data.topology_variance != kHomogenousTopology || cached_data.shader.size() == 0) {
-    add_subd_polygons(cached_data, data, time);
-    add_subd_creases(cached_data, data, time);
-  }
-}
-
-void read_geometry_data(AlembicProcedural *proc,
-                        CachedData &cached_data,
-                        const SubDSchemaData &data,
-                        Progress &progress)
-{
-  read_data_loop(proc, cached_data, data, read_subd_geometry, progress);
-}
-
-/* Curve Geometries. */
-
-static void read_curves_data(CachedData &cached_data, const CurvesSchemaData &data, chrono_t time)
-{
-  const ISampleSelector iss = ISampleSelector(time);
-
-  const Int32ArraySamplePtr curves_num_vertices = data.num_vertices.getValue(iss);
-  const P3fArraySamplePtr position = data.positions.getValue(iss);
-
-  FloatArraySamplePtr radiuses;
-
-  if (data.widths.valid()) {
-    IFloatGeomParam::Sample wsample = data.widths.getExpandedValue(iss);
-    radiuses = wsample.getVals();
-  }
-
-  const bool do_radius = (radiuses != nullptr) && (radiuses->size() > 1);
-  float radius = (radiuses && radiuses->size() == 1) ? (*radiuses)[0] : data.default_radius;
-
-  array<float3> curve_keys;
-  array<float> curve_radius;
-  array<int> curve_first_key;
-  array<int> curve_shader;
-
-  const bool is_homogenous = data.topology_variance == kHomogenousTopology;
-
-  curve_keys.reserve(position->size());
-  curve_radius.reserve(position->size());
-  curve_first_key.reserve(curves_num_vertices->size());
-  curve_shader.reserve(curves_num_vertices->size());
-
-  int offset = 0;
-  for (size_t i = 0; i < curves_num_vertices->size(); i++) {
-    const int num_vertices = curves_num_vertices->get()[i];
-
-    for (int j = 0; j < num_vertices; j++) {
-      const V3f &f = position->get()[offset + j];
-      // todo(@kevindietrich): we are reading too much data?
-      curve_keys.push_back_slow(make_float3_from_yup(f));
-
-      if (do_radius) {
-        radius = (*radiuses)[offset + j];
-      }
-
-      curve_radius.push_back_slow(radius * data.radius_scale);
-    }
-
-    if (!is_homogenous || cached_data.curve_first_key.size() == 0) {
-      curve_first_key.push_back_reserved(offset);
-      curve_shader.push_back_reserved(0);
-    }
-
-    offset += num_vertices;
-  }
-
-  cached_data.curve_keys.add_data(curve_keys, time);
-  cached_data.curve_radius.add_data(curve_radius, time);
-
-  if (!is_homogenous || cached_data.curve_first_key.size() == 0) {
-    cached_data.curve_first_key.add_data(curve_first_key, time);
-    cached_data.curve_shader.add_data(curve_shader, time);
-  }
-}
-
-void read_geometry_data(AlembicProcedural *proc,
-                        CachedData &cached_data,
-                        const CurvesSchemaData &data,
-                        Progress &progress)
-{
-  read_data_loop(proc, cached_data, data, read_curves_data, progress);
-}
-
-/* Attributes conversions. */
-
-/* Type traits for converting between Alembic and Cycles types.
- */
-
-template<typename T> struct value_type_converter {
-  using cycles_type = float;
-  /* Use `TypeDesc::FLOAT` instead of `TypeFloat` to work around a compiler bug in gcc 11. */
-  static constexpr TypeDesc type_desc = TypeDesc::FLOAT;
-  static constexpr const char *type_name = "float (default)";
-
-  static cycles_type convert_value(T value)
-  {
-    return static_cast<float>(value);
-  }
-};
-
-template<> struct value_type_converter<Imath::V2f> {
-  using cycles_type = float2;
-  static constexpr TypeDesc type_desc = TypeFloat2;
-  static constexpr const char *type_name = "float2";
-
-  static cycles_type convert_value(Imath::V2f value)
-  {
-    return make_float2(value.x, value.y);
-  }
-};
-
-template<> struct value_type_converter<Imath::V3f> {
-  using cycles_type = float3;
-  static constexpr TypeDesc type_desc = TypeVector;
-  static constexpr const char *type_name = "float3";
-
-  static cycles_type convert_value(Imath::V3f value)
-  {
-    return make_float3_from_yup(value);
-  }
-};
-
-template<> struct value_type_converter<Imath::C3f> {
-  using cycles_type = uchar4;
-  static constexpr TypeDesc type_desc = TypeRGBA;
-  static constexpr const char *type_name = "rgb";
-
-  static cycles_type convert_value(Imath::C3f value)
-  {
-    return color_float_to_byte(make_float3(value.x, value.y, value.z));
-  }
-};
-
-template<> struct value_type_converter<Imath::C4f> {
-  using cycles_type = uchar4;
-  static constexpr TypeDesc type_desc = TypeRGBA;
-  static constexpr const char *type_name = "rgba";
-
-  static cycles_type convert_value(Imath::C4f value)
-  {
-    return color_float4_to_uchar4(make_float4(value.r, value.g, value.b, value.a));
-  }
-};
-
-/* Main function used to read attributes of any type. */
-template<typename TRAIT>
-static void process_attribute(CachedData &cache,
-                              CachedData::CachedAttribute &attribute,
-                              GeometryScope scope,
-                              const typename ITypedGeomParam<TRAIT>::Sample &sample,
-                              double time)
-{
-  using abc_type = typename TRAIT::value_type;
-  using cycles_type = typename value_type_converter<abc_type>::cycles_type;
-
-  const TypedArraySample<TRAIT> &values = *sample.getVals();
-
-  switch (scope) {
-    case kConstantScope:
-    case kVertexScope: {
-      const array<float3> *vertices =
-          cache.vertices.data_for_time_no_check(time).get_data_or_null();
-
-      if (!vertices) {
-        attribute.data.add_no_data(time);
-        return;
-      }
-
-      if (vertices->size() != values.size()) {
-        attribute.data.add_no_data(time);
-        return;
-      }
-
-      array<char> data(vertices->size() * sizeof(cycles_type));
-
-      cycles_type *pod_typed_data = reinterpret_cast<cycles_type *>(data.data());
-
-      for (size_t i = 0; i < values.size(); ++i) {
-        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[i]);
-      }
-
-      attribute.data.add_data(data, time);
-      break;
-    }
-    case kVaryingScope: {
-      const array<int3> *triangles =
-          cache.triangles.data_for_time_no_check(time).get_data_or_null();
-
-      if (!triangles) {
-        attribute.data.add_no_data(time);
-        return;
-      }
-
-      array<char> data(triangles->size() * 3 * sizeof(cycles_type));
-
-      cycles_type *pod_typed_data = reinterpret_cast<cycles_type *>(data.data());
-
-      for (const int3 &tri : *triangles) {
-        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[tri.x]);
-        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[tri.y]);
-        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[tri.z]);
-      }
-
-      attribute.data.add_data(data, time);
-      break;
-    }
-    default: {
-      break;
-    }
-  }
-}
-
-/* UVs are processed separately as their indexing is based on loops, instead of vertices or
- * corners. */
-static void process_uvs(CachedData &cache,
-                        CachedData::CachedAttribute &attribute,
-                        GeometryScope scope,
-                        const IV2fGeomParam::Sample &sample,
-                        double time)
-{
-  if (scope != kFacevaryingScope && scope != kVaryingScope && scope != kVertexScope) {
-    return;
-  }
-
-  const array<int> *uv_loops = cache.uv_loops.data_for_time_no_check(time).get_data_or_null();
-
-  /* It's ok to not have loop indices, as long as the scope is not face-varying. */
-  if (!uv_loops && scope == kFacevaryingScope) {
-    return;
-  }
-
-  const array<int3> *triangles = cache.triangles.data_for_time_no_check(time).get_data_or_null();
-  const array<int> *corners =
-      cache.subd_face_corners.data_for_time_no_check(time).get_data_or_null();
-
-  array<char> data;
-  if (triangles) {
-    data.resize(triangles->size() * 3 * sizeof(float2));
-  }
-  else if (corners) {
-    data.resize(corners->size() * sizeof(float2));
-  }
-  else {
-    return;
-  }
-
-  float2 *data_float2 = reinterpret_cast<float2 *>(data.data());
-
-  const uint32_t *indices = sample.getIndices()->get();
-  const V2f *values = sample.getVals()->get();
-
-  if (scope == kFacevaryingScope) {
-    for (const int uv_loop_index : *uv_loops) {
-      const uint32_t index = indices[uv_loop_index];
-      *data_float2++ = make_float2(values[index][0], values[index][1]);
-    }
-  }
-  else if (scope == kVaryingScope || scope == kVertexScope) {
-    if (triangles) {
-      for (size_t i = 0; i < triangles->size(); i++) {
-        const int3 t = (*triangles)[i];
-        *data_float2++ = make_float2(values[t.x][0], values[t.x][1]);
-        *data_float2++ = make_float2(values[t.y][0], values[t.y][1]);
-        *data_float2++ = make_float2(values[t.z][0], values[t.z][1]);
-      }
-    }
-    else if (corners) {
-      for (size_t i = 0; i < corners->size(); i++) {
-        const int c = (*corners)[i];
-        *data_float2++ = make_float2(values[c][0], values[c][1]);
-      }
-    }
-  }
-
-  attribute.data.add_data(data, time);
-}
-
-/* Type of the function used to parse one time worth of data, either process_uvs or
- * process_attribute_generic. */
-template<typename TRAIT>
-using process_callback_type = void (*)(CachedData &,
-                                       CachedData::CachedAttribute &,
-                                       GeometryScope,
-                                       const typename ITypedGeomParam<TRAIT>::Sample &,
-                                       double);
-
-/* Main loop to process the attributes, this will look at the given param's TimeSampling and
- * extract data based on which frame time is requested by the procedural and execute the callback
- * for each of those requested time. */
-template<typename TRAIT>
-static void read_attribute_loop(AlembicProcedural *proc,
-                                CachedData &cache,
-                                const ITypedGeomParam<TRAIT> &param,
-                                process_callback_type<TRAIT> callback,
-                                Progress &progress,
-                                AttributeStandard std = ATTR_STD_NONE)
-{
-  const std::set<chrono_t> times = get_relevant_sample_times(
-      proc, *param.getTimeSampling(), param.getNumSamples());
-
-  if (times.empty()) {
-    return;
-  }
-
-  std::string name = param.getName();
-
-  if (std == ATTR_STD_UV) {
-    std::string uv_source_name = Alembic::Abc::GetSourceName(param.getMetaData());
-
-    /* According to the convention, primary UVs should have had their name
-     * set using Alembic::Abc::SetSourceName, but you can't expect everyone
-     * to follow it! :) */
-    if (!uv_source_name.empty()) {
-      name = uv_source_name;
-    }
-  }
-
-  CachedData::CachedAttribute &attribute = cache.add_attribute(ustring(name),
-                                                               *param.getTimeSampling());
-
-  using abc_type = typename TRAIT::value_type;
-
-  attribute.data.set_time_sampling(*param.getTimeSampling());
-  attribute.std = std;
-  attribute.type_desc = value_type_converter<abc_type>::type_desc;
-
-  if (attribute.type_desc == TypeRGBA) {
-    attribute.element = ATTR_ELEMENT_CORNER_BYTE;
-  }
-  else {
-    if (param.getScope() == kVaryingScope || param.getScope() == kFacevaryingScope) {
-      attribute.element = ATTR_ELEMENT_CORNER;
-    }
-    else {
-      attribute.element = ATTR_ELEMENT_VERTEX;
-    }
-  }
-
-  for (const chrono_t time : times) {
-    if (progress.get_cancel()) {
-      return;
-    }
-
-    ISampleSelector iss = ISampleSelector(time);
-    typename ITypedGeomParam<TRAIT>::Sample sample;
-    param.getIndexed(sample, iss);
-
-    if (!sample.valid()) {
-      continue;
-    }
-
-    if (!sample.getVals()) {
-      attribute.data.add_no_data(time);
-      continue;
-    }
-
-    /* Check whether we already loaded constant data. */
-    if (attribute.data.size() != 0) {
-      if (param.isConstant()) {
-        return;
-      }
-
-      const ArraySample::Key indices_key = sample.getIndices()->getKey();
-      const ArraySample::Key values_key = sample.getVals()->getKey();
-
-      const bool is_same_as_last_time = (indices_key == attribute.data.key1 &&
-                                         values_key == attribute.data.key2);
-
-      attribute.data.key1 = indices_key;
-      attribute.data.key2 = values_key;
-
-      if (is_same_as_last_time) {
-        attribute.data.reuse_data_for_last_time(time);
-        continue;
-      }
-    }
-
-    callback(cache, attribute, param.getScope(), sample, time);
-  }
-}
-
-/* Attributes requests. */
-
-/* This structure is used to tell which ICoumpoundProperty the PropertyHeader comes from, as we
- * need the parent when downcasting to the proper type. */
-struct PropHeaderAndParent {
-  const PropertyHeader *prop;
-  ICompoundProperty parent;
-};
-
-/* Parse the ICompoundProperty to look for properties whose names appear in the
- * AttributeRequestSet. This also looks into any child ICompoundProperty of the given
- * ICompoundProperty. If no property of the given name is found, let it be that way, Cycles will
- * use a zero value for the missing attribute. */
-static void parse_requested_attributes_recursive(const AttributeRequestSet &requested_attributes,
-                                                 const ICompoundProperty &arb_geom_params,
-                                                 vector<PropHeaderAndParent> &requested_properties)
-{
-  if (!arb_geom_params.valid()) {
-    return;
-  }
-
-  for (const AttributeRequest &req : requested_attributes.requests) {
-    const PropertyHeader *property_header = arb_geom_params.getPropertyHeader(req.name.c_str());
-
-    if (!property_header) {
-      continue;
-    }
-
-    requested_properties.push_back({property_header, arb_geom_params});
-  }
-
-  /* Look into children compound properties. */
-  for (size_t i = 0; i < arb_geom_params.getNumProperties(); ++i) {
-    const PropertyHeader &property_header = arb_geom_params.getPropertyHeader(i);
-
-    if (property_header.isCompound()) {
-      ICompoundProperty compound_property = ICompoundProperty(arb_geom_params,
-                                                              property_header.getName());
-      parse_requested_attributes_recursive(
-          requested_attributes, compound_property, requested_properties);
-    }
-  }
-}
-
-/* Main entry point for parsing requested attributes from an ICompoundProperty, this exists so that
- * we can simply return the list of properties instead of allocating it on the stack and passing it
- * as a parameter. */
-static vector<PropHeaderAndParent> parse_requested_attributes(
-    const AttributeRequestSet &requested_attributes, const ICompoundProperty &arb_geom_params)
-{
-  vector<PropHeaderAndParent> requested_properties;
-  parse_requested_attributes_recursive(
-      requested_attributes, arb_geom_params, requested_properties);
-  return requested_properties;
-}
-
-/* Read the attributes requested by the shaders from the archive. This will recursively find named
- * attributes from the AttributeRequestSet in the ICompoundProperty and any of its compound child.
- * The attributes are added to the CachedData's attribute list. For each attribute we will try to
- * deduplicate data across consecutive frames. */
-void read_attributes(AlembicProcedural *proc,
-                     CachedData &cache,
-                     const ICompoundProperty &arb_geom_params,
-                     const IV2fGeomParam &default_uvs_param,
-                     const AttributeRequestSet &requested_attributes,
-                     Progress &progress)
-{
-  if (default_uvs_param.valid()) {
-    /* Only the default UVs should be treated as the standard UV attribute. */
-    read_attribute_loop(proc, cache, default_uvs_param, process_uvs, progress, ATTR_STD_UV);
-  }
-
-  vector<PropHeaderAndParent> requested_properties = parse_requested_attributes(
-      requested_attributes, arb_geom_params);
-
-  for (const PropHeaderAndParent &prop_and_parent : requested_properties) {
-    if (progress.get_cancel()) {
-      return;
-    }
-
-    const PropertyHeader *prop = prop_and_parent.prop;
-    const ICompoundProperty &parent = prop_and_parent.parent;
-
-    if (IBoolGeomParam::matches(*prop)) {
-      const IBoolGeomParam &param = IBoolGeomParam(parent, prop->getName());
-      read_attribute_loop(proc, cache, param, process_attribute<BooleanTPTraits>, progress);
-    }
-    else if (IInt32GeomParam::matches(*prop)) {
-      const IInt32GeomParam &param = IInt32GeomParam(parent, prop->getName());
-      read_attribute_loop(proc, cache, param, process_attribute<Int32TPTraits>, progress);
-    }
-    else if (IFloatGeomParam::matches(*prop)) {
-      const IFloatGeomParam &param = IFloatGeomParam(parent, prop->getName());
-      read_attribute_loop(proc, cache, param, process_attribute<Float32TPTraits>, progress);
-    }
-    else if (IV2fGeomParam::matches(*prop)) {
-      const IV2fGeomParam &param = IV2fGeomParam(parent, prop->getName());
-      if (Alembic::AbcGeom::isUV(*prop)) {
-        read_attribute_loop(proc, cache, param, process_uvs, progress);
-      }
-      else {
-        read_attribute_loop(proc, cache, param, process_attribute<V2fTPTraits>, progress);
-      }
-    }
-    else if (IV3fGeomParam::matches(*prop)) {
-      const IV3fGeomParam &param = IV3fGeomParam(parent, prop->getName());
-      read_attribute_loop(proc, cache, param, process_attribute<V3fTPTraits>, progress);
-    }
-    else if (IN3fGeomParam::matches(*prop)) {
-      const IN3fGeomParam &param = IN3fGeomParam(parent, prop->getName());
-      read_attribute_loop(proc, cache, param, process_attribute<N3fTPTraits>, progress);
-    }
-    else if (IC3fGeomParam::matches(*prop)) {
-      const IC3fGeomParam &param = IC3fGeomParam(parent, prop->getName());
-      read_attribute_loop(proc, cache, param, process_attribute<C3fTPTraits>, progress);
-    }
-    else if (IC4fGeomParam::matches(*prop)) {
-      const IC4fGeomParam &param = IC4fGeomParam(parent, prop->getName());
-      read_attribute_loop(proc, cache, param, process_attribute<C4fTPTraits>, progress);
-    }
-  }
-
-  cache.invalidate_last_loaded_time(true);
-}
-
-CCL_NAMESPACE_END
-
-#endif
diff --git a/intern/cycles/render/alembic_read.h b/intern/cycles/render/alembic_read.h
deleted file mode 100644
index 9cc8622a1ba..00000000000
--- a/intern/cycles/render/alembic_read.h
+++ /dev/null
@@ -1,134 +0,0 @@
-/*
- * Copyright 2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#ifdef WITH_ALEMBIC
-
-#  include <Alembic/AbcCoreFactory/All.h>
-#  include <Alembic/AbcGeom/All.h>
-
-#  include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class AlembicProcedural;
-class AttributeRequestSet;
-class Progress;
-struct CachedData;
-
-/* Maps a FaceSet whose name matches that of a Shader to the index of said shader in the Geometry's
- * used_shaders list. */
-struct FaceSetShaderIndexPair {
-  Alembic::AbcGeom::IFaceSet face_set;
-  int shader_index;
-};
-
-/* Data of an IPolyMeshSchema that we need to read. */
-struct PolyMeshSchemaData {
-  Alembic::AbcGeom::TimeSamplingPtr time_sampling;
-  size_t num_samples;
-  Alembic::AbcGeom::MeshTopologyVariance topology_variance;
-
-  Alembic::AbcGeom::IP3fArrayProperty positions;
-  Alembic::AbcGeom::IInt32ArrayProperty face_indices;
-  Alembic::AbcGeom::IInt32ArrayProperty face_counts;
-
-  Alembic::AbcGeom::IN3fGeomParam normals;
-
-  vector<FaceSetShaderIndexPair> shader_face_sets;
-
-  // Unsupported for now.
-  Alembic::AbcGeom::IV3fArrayProperty velocities;
-};
-
-void read_geometry_data(AlembicProcedural *proc,
-                        CachedData &cached_data,
-                        const PolyMeshSchemaData &data,
-                        Progress &progress);
-
-/* Data of an ISubDSchema that we need to read. */
-struct SubDSchemaData {
-  Alembic::AbcGeom::TimeSamplingPtr time_sampling;
-  size_t num_samples;
-  Alembic::AbcGeom::MeshTopologyVariance topology_variance;
-
-  Alembic::AbcGeom::IInt32ArrayProperty face_counts;
-  Alembic::AbcGeom::IInt32ArrayProperty face_indices;
-  Alembic::AbcGeom::IP3fArrayProperty positions;
-
-  Alembic::AbcGeom::IInt32ArrayProperty crease_indices;
-  Alembic::AbcGeom::IInt32ArrayProperty crease_lengths;
-  Alembic::AbcGeom::IFloatArrayProperty crease_sharpnesses;
-
-  vector<FaceSetShaderIndexPair> shader_face_sets;
-
-  // Those are unsupported for now.
-  Alembic::AbcGeom::IInt32ArrayProperty corner_indices;
-  Alembic::AbcGeom::IFloatArrayProperty corner_sharpnesses;
-  Alembic::AbcGeom::IInt32Property face_varying_interpolate_boundary;
-  Alembic::AbcGeom::IInt32Property face_varying_propagate_corners;
-  Alembic::AbcGeom::IInt32Property interpolate_boundary;
-  Alembic::AbcGeom::IInt32ArrayProperty holes;
-  Alembic::AbcGeom::IStringProperty subdivision_scheme;
-  Alembic::AbcGeom::IV3fArrayProperty velocities;
-};
-
-void read_geometry_data(AlembicProcedural *proc,
-                        CachedData &cached_data,
-                        const SubDSchemaData &data,
-                        Progress &progress);
-
-/* Data of a ICurvesSchema that we need to read. */
-struct CurvesSchemaData {
-  Alembic::AbcGeom::TimeSamplingPtr time_sampling;
-  size_t num_samples;
-  Alembic::AbcGeom::MeshTopologyVariance topology_variance;
-
-  Alembic::AbcGeom::IP3fArrayProperty positions;
-
-  Alembic::AbcGeom::IInt32ArrayProperty num_vertices;
-
-  float default_radius;
-  float radius_scale;
-
-  // Those are unsupported for now.
-  Alembic::AbcGeom::IV3fArrayProperty velocities;
-  // if this property is invalid then the weight for every point is 1
-  Alembic::AbcGeom::IFloatArrayProperty position_weights;
-  Alembic::AbcGeom::IN3fGeomParam normals;
-  Alembic::AbcGeom::IFloatGeomParam widths;
-  Alembic::AbcGeom::IUcharArrayProperty orders;
-  Alembic::AbcGeom::IFloatArrayProperty knots;
-
-  // TODO(@kevindietrich): type, basis, wrap
-};
-
-void read_geometry_data(AlembicProcedural *proc,
-                        CachedData &cached_data,
-                        const CurvesSchemaData &data,
-                        Progress &progress);
-
-void read_attributes(AlembicProcedural *proc,
-                     CachedData &cache,
-                     const Alembic::AbcGeom::ICompoundProperty &arb_geom_params,
-                     const Alembic::AbcGeom::IV2fGeomParam &default_uvs_param,
-                     const AttributeRequestSet &requested_attributes,
-                     Progress &progress);
-
-CCL_NAMESPACE_END
-
-#endif
diff --git a/intern/cycles/render/attribute.cpp b/intern/cycles/render/attribute.cpp
deleted file mode 100644
index d7e6939cd80..00000000000
--- a/intern/cycles/render/attribute.cpp
+++ /dev/null
@@ -1,896 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/attribute.h"
-#include "render/hair.h"
-#include "render/image.h"
-#include "render/mesh.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_transform.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Attribute */
-
-Attribute::Attribute(
-    ustring name, TypeDesc type, AttributeElement element, Geometry *geom, AttributePrimitive prim)
-    : name(name), std(ATTR_STD_NONE), type(type), element(element), flags(0), modified(true)
-{
-  /* string and matrix not supported! */
-  assert(type == TypeDesc::TypeFloat || type == TypeDesc::TypeColor ||
-         type == TypeDesc::TypePoint || type == TypeDesc::TypeVector ||
-         type == TypeDesc::TypeNormal || type == TypeDesc::TypeMatrix || type == TypeFloat2 ||
-         type == TypeFloat4 || type == TypeRGBA);
-
-  if (element == ATTR_ELEMENT_VOXEL) {
-    buffer.resize(sizeof(ImageHandle));
-    new (buffer.data()) ImageHandle();
-  }
-  else {
-    resize(geom, prim, false);
-  }
-}
-
-Attribute::~Attribute()
-{
-  /* For voxel data, we need to free the image handle. */
-  if (element == ATTR_ELEMENT_VOXEL && buffer.size()) {
-    ImageHandle &handle = data_voxel();
-    handle.~ImageHandle();
-  }
-}
-
-void Attribute::resize(Geometry *geom, AttributePrimitive prim, bool reserve_only)
-{
-  if (element != ATTR_ELEMENT_VOXEL) {
-    if (reserve_only) {
-      buffer.reserve(buffer_size(geom, prim));
-    }
-    else {
-      buffer.resize(buffer_size(geom, prim), 0);
-    }
-  }
-}
-
-void Attribute::resize(size_t num_elements)
-{
-  if (element != ATTR_ELEMENT_VOXEL) {
-    buffer.resize(num_elements * data_sizeof(), 0);
-  }
-}
-
-void Attribute::add(const float &f)
-{
-  assert(data_sizeof() == sizeof(float));
-
-  char *data = (char *)&f;
-  size_t size = sizeof(f);
-
-  for (size_t i = 0; i < size; i++)
-    buffer.push_back(data[i]);
-
-  modified = true;
-}
-
-void Attribute::add(const uchar4 &f)
-{
-  assert(data_sizeof() == sizeof(uchar4));
-
-  char *data = (char *)&f;
-  size_t size = sizeof(f);
-
-  for (size_t i = 0; i < size; i++)
-    buffer.push_back(data[i]);
-
-  modified = true;
-}
-
-void Attribute::add(const float2 &f)
-{
-  assert(data_sizeof() == sizeof(float2));
-
-  char *data = (char *)&f;
-  size_t size = sizeof(f);
-
-  for (size_t i = 0; i < size; i++)
-    buffer.push_back(data[i]);
-
-  modified = true;
-}
-
-void Attribute::add(const float3 &f)
-{
-  assert(data_sizeof() == sizeof(float3));
-
-  char *data = (char *)&f;
-  size_t size = sizeof(f);
-
-  for (size_t i = 0; i < size; i++)
-    buffer.push_back(data[i]);
-
-  modified = true;
-}
-
-void Attribute::add(const Transform &f)
-{
-  assert(data_sizeof() == sizeof(Transform));
-
-  char *data = (char *)&f;
-  size_t size = sizeof(f);
-
-  for (size_t i = 0; i < size; i++)
-    buffer.push_back(data[i]);
-
-  modified = true;
-}
-
-void Attribute::add(const char *data)
-{
-  size_t size = data_sizeof();
-
-  for (size_t i = 0; i < size; i++)
-    buffer.push_back(data[i]);
-
-  modified = true;
-}
-
-void Attribute::set_data_from(Attribute &&other)
-{
-  assert(other.std == std);
-  assert(other.type == type);
-  assert(other.element == element);
-
-  this->flags = other.flags;
-
-  if (this->buffer.size() != other.buffer.size()) {
-    this->buffer = std::move(other.buffer);
-    modified = true;
-  }
-  else if (memcmp(this->data(), other.data(), other.buffer.size()) != 0) {
-    this->buffer = std::move(other.buffer);
-    modified = true;
-  }
-}
-
-size_t Attribute::data_sizeof() const
-{
-  if (element == ATTR_ELEMENT_VOXEL)
-    return sizeof(ImageHandle);
-  else if (element == ATTR_ELEMENT_CORNER_BYTE)
-    return sizeof(uchar4);
-  else if (type == TypeDesc::TypeFloat)
-    return sizeof(float);
-  else if (type == TypeFloat2)
-    return sizeof(float2);
-  else if (type == TypeDesc::TypeMatrix)
-    return sizeof(Transform);
-  else
-    return sizeof(float3);
-}
-
-size_t Attribute::element_size(Geometry *geom, AttributePrimitive prim) const
-{
-  if (flags & ATTR_FINAL_SIZE) {
-    return buffer.size() / data_sizeof();
-  }
-
-  size_t size = 0;
-
-  switch (element) {
-    case ATTR_ELEMENT_OBJECT:
-    case ATTR_ELEMENT_MESH:
-    case ATTR_ELEMENT_VOXEL:
-      size = 1;
-      break;
-    case ATTR_ELEMENT_VERTEX:
-      if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-        size = mesh->get_verts().size() + mesh->get_num_ngons();
-        if (prim == ATTR_PRIM_SUBD) {
-          size -= mesh->get_num_subd_verts();
-        }
-      }
-      break;
-    case ATTR_ELEMENT_VERTEX_MOTION:
-      if (geom->geometry_type == Geometry::MESH) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-        DCHECK_GT(mesh->get_motion_steps(), 0);
-        size = (mesh->get_verts().size() + mesh->get_num_ngons()) * (mesh->get_motion_steps() - 1);
-        if (prim == ATTR_PRIM_SUBD) {
-          size -= mesh->get_num_subd_verts() * (mesh->get_motion_steps() - 1);
-        }
-      }
-      break;
-    case ATTR_ELEMENT_FACE:
-      if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-        if (prim == ATTR_PRIM_GEOMETRY) {
-          size = mesh->num_triangles();
-        }
-        else {
-          size = mesh->get_num_subd_faces() + mesh->get_num_ngons();
-        }
-      }
-      break;
-    case ATTR_ELEMENT_CORNER:
-    case ATTR_ELEMENT_CORNER_BYTE:
-      if (geom->geometry_type == Geometry::MESH) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-        if (prim == ATTR_PRIM_GEOMETRY) {
-          size = mesh->num_triangles() * 3;
-        }
-        else {
-          size = mesh->get_subd_face_corners().size() + mesh->get_num_ngons();
-        }
-      }
-      break;
-    case ATTR_ELEMENT_CURVE:
-      if (geom->geometry_type == Geometry::HAIR) {
-        Hair *hair = static_cast<Hair *>(geom);
-        size = hair->num_curves();
-      }
-      break;
-    case ATTR_ELEMENT_CURVE_KEY:
-      if (geom->geometry_type == Geometry::HAIR) {
-        Hair *hair = static_cast<Hair *>(geom);
-        size = hair->get_curve_keys().size();
-      }
-      break;
-    case ATTR_ELEMENT_CURVE_KEY_MOTION:
-      if (geom->geometry_type == Geometry::HAIR) {
-        Hair *hair = static_cast<Hair *>(geom);
-        DCHECK_GT(hair->get_motion_steps(), 0);
-        size = hair->get_curve_keys().size() * (hair->get_motion_steps() - 1);
-      }
-      break;
-    default:
-      break;
-  }
-
-  return size;
-}
-
-size_t Attribute::buffer_size(Geometry *geom, AttributePrimitive prim) const
-{
-  return element_size(geom, prim) * data_sizeof();
-}
-
-bool Attribute::same_storage(TypeDesc a, TypeDesc b)
-{
-  if (a == b)
-    return true;
-
-  if (a == TypeDesc::TypeColor || a == TypeDesc::TypePoint || a == TypeDesc::TypeVector ||
-      a == TypeDesc::TypeNormal) {
-    if (b == TypeDesc::TypeColor || b == TypeDesc::TypePoint || b == TypeDesc::TypeVector ||
-        b == TypeDesc::TypeNormal) {
-      return true;
-    }
-  }
-  return false;
-}
-
-void Attribute::zero_data(void *dst)
-{
-  memset(dst, 0, data_sizeof());
-}
-
-void Attribute::add_with_weight(void *dst, void *src, float weight)
-{
-  if (element == ATTR_ELEMENT_CORNER_BYTE) {
-    for (int i = 0; i < 4; i++) {
-      ((uchar *)dst)[i] += uchar(((uchar *)src)[i] * weight);
-    }
-  }
-  else if (same_storage(type, TypeDesc::TypeFloat)) {
-    *((float *)dst) += *((float *)src) * weight;
-  }
-  else if (same_storage(type, TypeFloat2)) {
-    *((float2 *)dst) += *((float2 *)src) * weight;
-  }
-  else if (same_storage(type, TypeDesc::TypeVector)) {
-    *((float4 *)dst) += *((float4 *)src) * weight;
-  }
-  else {
-    assert(!"not implemented for this type");
-  }
-}
-
-const char *Attribute::standard_name(AttributeStandard std)
-{
-  switch (std) {
-    case ATTR_STD_VERTEX_NORMAL:
-      return "N";
-    case ATTR_STD_FACE_NORMAL:
-      return "Ng";
-    case ATTR_STD_UV:
-      return "uv";
-    case ATTR_STD_GENERATED:
-      return "generated";
-    case ATTR_STD_GENERATED_TRANSFORM:
-      return "generated_transform";
-    case ATTR_STD_UV_TANGENT:
-      return "tangent";
-    case ATTR_STD_UV_TANGENT_SIGN:
-      return "tangent_sign";
-    case ATTR_STD_VERTEX_COLOR:
-      return "vertex_color";
-    case ATTR_STD_POSITION_UNDEFORMED:
-      return "undeformed";
-    case ATTR_STD_POSITION_UNDISPLACED:
-      return "undisplaced";
-    case ATTR_STD_MOTION_VERTEX_POSITION:
-      return "motion_P";
-    case ATTR_STD_MOTION_VERTEX_NORMAL:
-      return "motion_N";
-    case ATTR_STD_PARTICLE:
-      return "particle";
-    case ATTR_STD_CURVE_INTERCEPT:
-      return "curve_intercept";
-    case ATTR_STD_CURVE_LENGTH:
-      return "curve_length";
-    case ATTR_STD_CURVE_RANDOM:
-      return "curve_random";
-    case ATTR_STD_PTEX_FACE_ID:
-      return "ptex_face_id";
-    case ATTR_STD_PTEX_UV:
-      return "ptex_uv";
-    case ATTR_STD_VOLUME_DENSITY:
-      return "density";
-    case ATTR_STD_VOLUME_COLOR:
-      return "color";
-    case ATTR_STD_VOLUME_FLAME:
-      return "flame";
-    case ATTR_STD_VOLUME_HEAT:
-      return "heat";
-    case ATTR_STD_VOLUME_TEMPERATURE:
-      return "temperature";
-    case ATTR_STD_VOLUME_VELOCITY:
-      return "velocity";
-    case ATTR_STD_POINTINESS:
-      return "pointiness";
-    case ATTR_STD_RANDOM_PER_ISLAND:
-      return "random_per_island";
-    case ATTR_STD_SHADOW_TRANSPARENCY:
-      return "shadow_transparency";
-    case ATTR_STD_NOT_FOUND:
-    case ATTR_STD_NONE:
-    case ATTR_STD_NUM:
-      return "";
-  }
-
-  return "";
-}
-
-AttributeStandard Attribute::name_standard(const char *name)
-{
-  if (name) {
-    for (int std = ATTR_STD_NONE; std < ATTR_STD_NUM; std++) {
-      if (strcmp(name, Attribute::standard_name((AttributeStandard)std)) == 0) {
-        return (AttributeStandard)std;
-      }
-    }
-  }
-
-  return ATTR_STD_NONE;
-}
-
-AttrKernelDataType Attribute::kernel_type(const Attribute &attr)
-{
-  if (attr.element == ATTR_ELEMENT_CORNER) {
-    return AttrKernelDataType::UCHAR4;
-  }
-
-  if (attr.type == TypeDesc::TypeFloat) {
-    return AttrKernelDataType::FLOAT;
-  }
-
-  if (attr.type == TypeFloat2) {
-    return AttrKernelDataType::FLOAT2;
-  }
-
-  return AttrKernelDataType::FLOAT3;
-}
-
-void Attribute::get_uv_tiles(Geometry *geom,
-                             AttributePrimitive prim,
-                             unordered_set<int> &tiles) const
-{
-  if (type != TypeFloat2) {
-    return;
-  }
-
-  const int num = element_size(geom, prim);
-  const float2 *uv = data_float2();
-  for (int i = 0; i < num; i++, uv++) {
-    float u = uv->x, v = uv->y;
-    int x = (int)u, y = (int)v;
-
-    if (x < 0 || y < 0 || x >= 10) {
-      continue;
-    }
-
-    /* Be conservative in corners - precisely touching the right or upper edge of a tile
-     * should not load its right/upper neighbor as well. */
-    if (x > 0 && (u < x + 1e-6f)) {
-      x--;
-    }
-    if (y > 0 && (v < y + 1e-6f)) {
-      y--;
-    }
-
-    tiles.insert(1001 + 10 * y + x);
-  }
-}
-
-/* Attribute Set */
-
-AttributeSet::AttributeSet(Geometry *geometry, AttributePrimitive prim)
-    : modified_flag(~0u), geometry(geometry), prim(prim)
-{
-}
-
-AttributeSet::~AttributeSet()
-{
-}
-
-Attribute *AttributeSet::add(ustring name, TypeDesc type, AttributeElement element)
-{
-  Attribute *attr = find(name);
-
-  if (attr) {
-    /* return if same already exists */
-    if (attr->type == type && attr->element == element)
-      return attr;
-
-    /* overwrite attribute with same name but different type/element */
-    remove(name);
-  }
-
-  Attribute new_attr(name, type, element, geometry, prim);
-  attributes.emplace_back(std::move(new_attr));
-  tag_modified(attributes.back());
-  return &attributes.back();
-}
-
-Attribute *AttributeSet::find(ustring name) const
-{
-  foreach (const Attribute &attr, attributes)
-    if (attr.name == name)
-      return (Attribute *)&attr;
-
-  return NULL;
-}
-
-void AttributeSet::remove(ustring name)
-{
-  Attribute *attr = find(name);
-
-  if (attr) {
-    list<Attribute>::iterator it;
-
-    for (it = attributes.begin(); it != attributes.end(); it++) {
-      if (&*it == attr) {
-        remove(it);
-        return;
-      }
-    }
-  }
-}
-
-Attribute *AttributeSet::add(AttributeStandard std, ustring name)
-{
-  Attribute *attr = NULL;
-
-  if (name == ustring())
-    name = Attribute::standard_name(std);
-
-  if (geometry->geometry_type == Geometry::MESH) {
-    switch (std) {
-      case ATTR_STD_VERTEX_NORMAL:
-        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_VERTEX);
-        break;
-      case ATTR_STD_FACE_NORMAL:
-        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_FACE);
-        break;
-      case ATTR_STD_UV:
-        attr = add(name, TypeFloat2, ATTR_ELEMENT_CORNER);
-        break;
-      case ATTR_STD_UV_TANGENT:
-        attr = add(name, TypeDesc::TypeVector, ATTR_ELEMENT_CORNER);
-        break;
-      case ATTR_STD_UV_TANGENT_SIGN:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CORNER);
-        break;
-      case ATTR_STD_VERTEX_COLOR:
-        attr = add(name, TypeRGBA, ATTR_ELEMENT_CORNER_BYTE);
-        break;
-      case ATTR_STD_GENERATED:
-      case ATTR_STD_POSITION_UNDEFORMED:
-      case ATTR_STD_POSITION_UNDISPLACED:
-        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_VERTEX);
-        break;
-      case ATTR_STD_MOTION_VERTEX_POSITION:
-        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_VERTEX_MOTION);
-        break;
-      case ATTR_STD_MOTION_VERTEX_NORMAL:
-        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_VERTEX_MOTION);
-        break;
-      case ATTR_STD_PTEX_FACE_ID:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_FACE);
-        break;
-      case ATTR_STD_PTEX_UV:
-        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_VERTEX);
-        break;
-      case ATTR_STD_GENERATED_TRANSFORM:
-        attr = add(name, TypeDesc::TypeMatrix, ATTR_ELEMENT_MESH);
-        break;
-      case ATTR_STD_POINTINESS:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_VERTEX);
-        break;
-      case ATTR_STD_RANDOM_PER_ISLAND:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_FACE);
-        break;
-      default:
-        assert(0);
-        break;
-    }
-  }
-  else if (geometry->geometry_type == Geometry::VOLUME) {
-    switch (std) {
-      case ATTR_STD_VERTEX_NORMAL:
-        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_VERTEX);
-        break;
-      case ATTR_STD_FACE_NORMAL:
-        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_FACE);
-        break;
-      case ATTR_STD_VOLUME_DENSITY:
-      case ATTR_STD_VOLUME_FLAME:
-      case ATTR_STD_VOLUME_HEAT:
-      case ATTR_STD_VOLUME_TEMPERATURE:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_VOXEL);
-        break;
-      case ATTR_STD_VOLUME_COLOR:
-        attr = add(name, TypeDesc::TypeColor, ATTR_ELEMENT_VOXEL);
-        break;
-      case ATTR_STD_VOLUME_VELOCITY:
-        attr = add(name, TypeDesc::TypeVector, ATTR_ELEMENT_VOXEL);
-        break;
-      default:
-        assert(0);
-        break;
-    }
-  }
-  else if (geometry->geometry_type == Geometry::HAIR) {
-    switch (std) {
-      case ATTR_STD_UV:
-        attr = add(name, TypeFloat2, ATTR_ELEMENT_CURVE);
-        break;
-      case ATTR_STD_GENERATED:
-        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_CURVE);
-        break;
-      case ATTR_STD_MOTION_VERTEX_POSITION:
-        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_CURVE_KEY_MOTION);
-        break;
-      case ATTR_STD_CURVE_INTERCEPT:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE_KEY);
-        break;
-      case ATTR_STD_CURVE_LENGTH:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE);
-        break;
-      case ATTR_STD_CURVE_RANDOM:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE);
-        break;
-      case ATTR_STD_GENERATED_TRANSFORM:
-        attr = add(name, TypeDesc::TypeMatrix, ATTR_ELEMENT_MESH);
-        break;
-      case ATTR_STD_POINTINESS:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_VERTEX);
-        break;
-      case ATTR_STD_RANDOM_PER_ISLAND:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_FACE);
-        break;
-      case ATTR_STD_SHADOW_TRANSPARENCY:
-        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE_KEY);
-        break;
-      default:
-        assert(0);
-        break;
-    }
-  }
-
-  attr->std = std;
-
-  return attr;
-}
-
-Attribute *AttributeSet::find(AttributeStandard std) const
-{
-  foreach (const Attribute &attr, attributes)
-    if (attr.std == std)
-      return (Attribute *)&attr;
-
-  return NULL;
-}
-
-void AttributeSet::remove(AttributeStandard std)
-{
-  Attribute *attr = find(std);
-
-  if (attr) {
-    list<Attribute>::iterator it;
-
-    for (it = attributes.begin(); it != attributes.end(); it++) {
-      if (&*it == attr) {
-        remove(it);
-        return;
-      }
-    }
-  }
-}
-
-Attribute *AttributeSet::find(AttributeRequest &req)
-{
-  if (req.std == ATTR_STD_NONE)
-    return find(req.name);
-  else
-    return find(req.std);
-}
-
-void AttributeSet::remove(Attribute *attribute)
-{
-  if (attribute->std == ATTR_STD_NONE) {
-    remove(attribute->name);
-  }
-  else {
-    remove(attribute->std);
-  }
-}
-
-void AttributeSet::remove(list<Attribute>::iterator it)
-{
-  tag_modified(*it);
-  attributes.erase(it);
-}
-
-void AttributeSet::resize(bool reserve_only)
-{
-  foreach (Attribute &attr, attributes) {
-    attr.resize(geometry, prim, reserve_only);
-  }
-}
-
-void AttributeSet::clear(bool preserve_voxel_data)
-{
-  if (preserve_voxel_data) {
-    list<Attribute>::iterator it;
-
-    for (it = attributes.begin(); it != attributes.end();) {
-      if (it->element == ATTR_ELEMENT_VOXEL || it->std == ATTR_STD_GENERATED_TRANSFORM) {
-        it++;
-      }
-      else {
-        attributes.erase(it++);
-      }
-    }
-  }
-  else {
-    attributes.clear();
-  }
-}
-
-void AttributeSet::update(AttributeSet &&new_attributes)
-{
-  /* add or update old_attributes based on the new_attributes */
-  foreach (Attribute &attr, new_attributes.attributes) {
-    Attribute *nattr = add(attr.name, attr.type, attr.element);
-    nattr->std = attr.std;
-    nattr->set_data_from(std::move(attr));
-  }
-
-  /* remove any attributes not on new_attributes */
-  list<Attribute>::iterator it;
-  for (it = attributes.begin(); it != attributes.end();) {
-    if (it->std != ATTR_STD_NONE) {
-      if (new_attributes.find(it->std) == nullptr) {
-        remove(it++);
-        continue;
-      }
-    }
-    else if (it->name != "") {
-      if (new_attributes.find(it->name) == nullptr) {
-        remove(it++);
-        continue;
-      }
-    }
-
-    it++;
-  }
-
-  /* If all attributes were replaced, transform is no longer applied. */
-  geometry->transform_applied = false;
-}
-
-void AttributeSet::clear_modified()
-{
-  foreach (Attribute &attr, attributes) {
-    attr.modified = false;
-  }
-
-  modified_flag = 0;
-}
-
-void AttributeSet::tag_modified(const Attribute &attr)
-{
-  /* Some attributes are not stored in the various kernel attribute arrays
-   * (DeviceScene::attribute_*), so the modified flags are only set if the associated standard
-   * corresponds to an attribute which will be stored in the kernel's attribute arrays. */
-  const bool modifies_device_array = (attr.std != ATTR_STD_FACE_NORMAL &&
-                                      attr.std != ATTR_STD_VERTEX_NORMAL);
-
-  if (modifies_device_array) {
-    AttrKernelDataType kernel_type = Attribute::kernel_type(attr);
-    modified_flag |= (1u << kernel_type);
-  }
-}
-
-bool AttributeSet::modified(AttrKernelDataType kernel_type) const
-{
-  return (modified_flag & (1u << kernel_type)) != 0;
-}
-
-/* AttributeRequest */
-
-AttributeRequest::AttributeRequest(ustring name_)
-{
-  name = name_;
-  std = ATTR_STD_NONE;
-
-  type = TypeDesc::TypeFloat;
-  desc.element = ATTR_ELEMENT_NONE;
-  desc.offset = 0;
-  desc.type = NODE_ATTR_FLOAT;
-
-  subd_type = TypeDesc::TypeFloat;
-  subd_desc.element = ATTR_ELEMENT_NONE;
-  subd_desc.offset = 0;
-  subd_desc.type = NODE_ATTR_FLOAT;
-}
-
-AttributeRequest::AttributeRequest(AttributeStandard std_)
-{
-  name = ustring();
-  std = std_;
-
-  type = TypeDesc::TypeFloat;
-  desc.element = ATTR_ELEMENT_NONE;
-  desc.offset = 0;
-  desc.type = NODE_ATTR_FLOAT;
-
-  subd_type = TypeDesc::TypeFloat;
-  subd_desc.element = ATTR_ELEMENT_NONE;
-  subd_desc.offset = 0;
-  subd_desc.type = NODE_ATTR_FLOAT;
-}
-
-/* AttributeRequestSet */
-
-AttributeRequestSet::AttributeRequestSet()
-{
-}
-
-AttributeRequestSet::~AttributeRequestSet()
-{
-}
-
-bool AttributeRequestSet::modified(const AttributeRequestSet &other)
-{
-  if (requests.size() != other.requests.size())
-    return true;
-
-  for (size_t i = 0; i < requests.size(); i++) {
-    bool found = false;
-
-    for (size_t j = 0; j < requests.size() && !found; j++)
-      if (requests[i].name == other.requests[j].name && requests[i].std == other.requests[j].std) {
-        found = true;
-      }
-
-    if (!found) {
-      return true;
-    }
-  }
-
-  return false;
-}
-
-void AttributeRequestSet::add(ustring name)
-{
-  foreach (AttributeRequest &req, requests) {
-    if (req.name == name) {
-      return;
-    }
-  }
-
-  requests.push_back(AttributeRequest(name));
-}
-
-void AttributeRequestSet::add(AttributeStandard std)
-{
-  foreach (AttributeRequest &req, requests)
-    if (req.std == std)
-      return;
-
-  requests.push_back(AttributeRequest(std));
-}
-
-void AttributeRequestSet::add(AttributeRequestSet &reqs)
-{
-  foreach (AttributeRequest &req, reqs.requests) {
-    if (req.std == ATTR_STD_NONE)
-      add(req.name);
-    else
-      add(req.std);
-  }
-}
-
-void AttributeRequestSet::add_standard(ustring name)
-{
-  if (name.empty()) {
-    return;
-  }
-
-  AttributeStandard std = Attribute::name_standard(name.c_str());
-
-  if (std) {
-    add(std);
-  }
-  else {
-    add(name);
-  }
-}
-
-bool AttributeRequestSet::find(ustring name)
-{
-  foreach (AttributeRequest &req, requests)
-    if (req.name == name)
-      return true;
-
-  return false;
-}
-
-bool AttributeRequestSet::find(AttributeStandard std)
-{
-  foreach (AttributeRequest &req, requests)
-    if (req.std == std)
-      return true;
-
-  return false;
-}
-
-size_t AttributeRequestSet::size()
-{
-  return requests.size();
-}
-
-void AttributeRequestSet::clear()
-{
-  requests.clear();
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/attribute.h b/intern/cycles/render/attribute.h
deleted file mode 100644
index 004c267cabc..00000000000
--- a/intern/cycles/render/attribute.h
+++ /dev/null
@@ -1,287 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __ATTRIBUTE_H__
-#define __ATTRIBUTE_H__
-
-#include "render/image.h"
-
-#include "kernel/kernel_types.h"
-
-#include "util/util_list.h"
-#include "util/util_param.h"
-#include "util/util_set.h"
-#include "util/util_types.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Attribute;
-class AttributeRequest;
-class AttributeRequestSet;
-class AttributeSet;
-class ImageHandle;
-class Geometry;
-class Hair;
-class Mesh;
-struct Transform;
-
-/* AttrKernelDataType.
- *
- * The data type of the device arrays storing the attribute's data. Those data types are different
- * than the ones for attributes as some attribute types are stored in the same array, e.g. Point,
- * Vector, and Transform are all stored as float3 in the kernel.
- *
- * The values of this enumeration are also used as flags to detect changes in AttributeSet. */
-
-enum AttrKernelDataType {
-  FLOAT = 0,
-  FLOAT2 = 1,
-  FLOAT3 = 2,
-  UCHAR4 = 3,
-};
-
-/* Attribute
- *
- * Arbitrary data layers on meshes.
- * Supported types: Float, Color, Vector, Normal, Point */
-
-class Attribute {
- public:
-  ustring name;
-  AttributeStandard std;
-
-  TypeDesc type;
-  vector<char> buffer;
-  AttributeElement element;
-  uint flags; /* enum AttributeFlag */
-
-  bool modified;
-
-  Attribute(ustring name,
-            TypeDesc type,
-            AttributeElement element,
-            Geometry *geom,
-            AttributePrimitive prim);
-  Attribute(Attribute &&other) = default;
-  Attribute(const Attribute &other) = delete;
-  Attribute &operator=(const Attribute &other) = delete;
-  ~Attribute();
-
-  void set(ustring name, TypeDesc type, AttributeElement element);
-  void resize(Geometry *geom, AttributePrimitive prim, bool reserve_only);
-  void resize(size_t num_elements);
-
-  size_t data_sizeof() const;
-  size_t element_size(Geometry *geom, AttributePrimitive prim) const;
-  size_t buffer_size(Geometry *geom, AttributePrimitive prim) const;
-
-  char *data()
-  {
-    return (buffer.size()) ? &buffer[0] : NULL;
-  }
-  float2 *data_float2()
-  {
-    assert(data_sizeof() == sizeof(float2));
-    return (float2 *)data();
-  }
-  float3 *data_float3()
-  {
-    assert(data_sizeof() == sizeof(float3));
-    return (float3 *)data();
-  }
-  float4 *data_float4()
-  {
-    assert(data_sizeof() == sizeof(float4));
-    return (float4 *)data();
-  }
-  float *data_float()
-  {
-    assert(data_sizeof() == sizeof(float));
-    return (float *)data();
-  }
-  uchar4 *data_uchar4()
-  {
-    assert(data_sizeof() == sizeof(uchar4));
-    return (uchar4 *)data();
-  }
-  Transform *data_transform()
-  {
-    assert(data_sizeof() == sizeof(Transform));
-    return (Transform *)data();
-  }
-
-  /* Attributes for voxels are images */
-  ImageHandle &data_voxel()
-  {
-    assert(data_sizeof() == sizeof(ImageHandle));
-    return *(ImageHandle *)data();
-  }
-
-  const char *data() const
-  {
-    return (buffer.size()) ? &buffer[0] : NULL;
-  }
-  const float2 *data_float2() const
-  {
-    assert(data_sizeof() == sizeof(float2));
-    return (const float2 *)data();
-  }
-  const float3 *data_float3() const
-  {
-    assert(data_sizeof() == sizeof(float3));
-    return (const float3 *)data();
-  }
-  const float4 *data_float4() const
-  {
-    assert(data_sizeof() == sizeof(float4));
-    return (const float4 *)data();
-  }
-  const float *data_float() const
-  {
-    assert(data_sizeof() == sizeof(float));
-    return (const float *)data();
-  }
-  const Transform *data_transform() const
-  {
-    assert(data_sizeof() == sizeof(Transform));
-    return (const Transform *)data();
-  }
-  const ImageHandle &data_voxel() const
-  {
-    assert(data_sizeof() == sizeof(ImageHandle));
-    return *(const ImageHandle *)data();
-  }
-
-  void zero_data(void *dst);
-  void add_with_weight(void *dst, void *src, float weight);
-
-  void add(const float &f);
-  void add(const float2 &f);
-  void add(const float3 &f);
-  void add(const uchar4 &f);
-  void add(const Transform &tfm);
-  void add(const char *data);
-
-  void set_data_from(Attribute &&other);
-
-  static bool same_storage(TypeDesc a, TypeDesc b);
-  static const char *standard_name(AttributeStandard std);
-  static AttributeStandard name_standard(const char *name);
-
-  static AttrKernelDataType kernel_type(const Attribute &attr);
-
-  void get_uv_tiles(Geometry *geom, AttributePrimitive prim, unordered_set<int> &tiles) const;
-};
-
-/* Attribute Set
- *
- * Set of attributes on a mesh. */
-
-class AttributeSet {
-  uint32_t modified_flag;
-
- public:
-  Geometry *geometry;
-  AttributePrimitive prim;
-  list<Attribute> attributes;
-
-  AttributeSet(Geometry *geometry, AttributePrimitive prim);
-  AttributeSet(AttributeSet &&) = default;
-  ~AttributeSet();
-
-  Attribute *add(ustring name, TypeDesc type, AttributeElement element);
-  Attribute *find(ustring name) const;
-  void remove(ustring name);
-
-  Attribute *add(AttributeStandard std, ustring name = ustring());
-  Attribute *find(AttributeStandard std) const;
-  void remove(AttributeStandard std);
-
-  Attribute *find(AttributeRequest &req);
-
-  void remove(Attribute *attribute);
-
-  void remove(list<Attribute>::iterator it);
-
-  void resize(bool reserve_only = false);
-  void clear(bool preserve_voxel_data = false);
-
-  /* Update the attributes in this AttributeSet with the ones from the new set,
-   * and remove any attribute not found on the new set from this. */
-  void update(AttributeSet &&new_attributes);
-
-  /* Return whether the attributes of the given kernel_type are modified, where "modified" means
-   * that some attributes of the given type were added or removed from this AttributeSet. This does
-   * not mean that the data of the remaining attributes in this AttributeSet were also modified. To
-   * check this, use Attribute.modified. */
-  bool modified(AttrKernelDataType kernel_type) const;
-
-  void clear_modified();
-
- private:
-  /* Set the relevant modified flag for the attribute. Only attributes that are stored in device
-   * arrays will be considered for tagging this AttributeSet as modified. */
-  void tag_modified(const Attribute &attr);
-};
-
-/* AttributeRequest
- *
- * Request from a shader to use a certain attribute, so we can figure out
- * which ones we need to export from the host app end store for the kernel.
- * The attribute is found either by name or by standard attribute type. */
-
-class AttributeRequest {
- public:
-  ustring name;
-  AttributeStandard std;
-
-  /* temporary variables used by GeometryManager */
-  TypeDesc type, subd_type;
-  AttributeDescriptor desc, subd_desc;
-
-  explicit AttributeRequest(ustring name_);
-  explicit AttributeRequest(AttributeStandard std);
-};
-
-/* AttributeRequestSet
- *
- * Set of attributes requested by a shader. */
-
-class AttributeRequestSet {
- public:
-  vector<AttributeRequest> requests;
-
-  AttributeRequestSet();
-  ~AttributeRequestSet();
-
-  void add(ustring name);
-  void add(AttributeStandard std);
-  void add(AttributeRequestSet &reqs);
-  void add_standard(ustring name);
-
-  bool find(ustring name);
-  bool find(AttributeStandard std);
-
-  size_t size();
-  void clear();
-
-  bool modified(const AttributeRequestSet &other);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __ATTRIBUTE_H__ */
diff --git a/intern/cycles/render/background.cpp b/intern/cycles/render/background.cpp
deleted file mode 100644
index ae6290ac27b..00000000000
--- a/intern/cycles/render/background.cpp
+++ /dev/null
@@ -1,140 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/background.h"
-#include "device/device.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/nodes.h"
-#include "render/scene.h"
-#include "render/shader.h"
-#include "render/stats.h"
-
-#include "util/util_foreach.h"
-#include "util/util_math.h"
-#include "util/util_time.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-NODE_DEFINE(Background)
-{
-  NodeType *type = NodeType::add("background", create);
-
-  SOCKET_BOOLEAN(use_shader, "Use Shader", true);
-  SOCKET_UINT(visibility, "Visibility", PATH_RAY_ALL_VISIBILITY);
-
-  SOCKET_BOOLEAN(transparent, "Transparent", false);
-  SOCKET_BOOLEAN(transparent_glass, "Transparent Glass", false);
-  SOCKET_FLOAT(transparent_roughness_threshold, "Transparent Roughness Threshold", 0.0f);
-
-  SOCKET_FLOAT(volume_step_size, "Volume Step Size", 0.1f);
-
-  SOCKET_NODE(shader, "Shader", Shader::get_node_type());
-
-  return type;
-}
-
-Background::Background() : Node(get_node_type())
-{
-  shader = NULL;
-}
-
-Background::~Background()
-{
-  dereference_all_used_nodes();
-}
-
-void Background::device_update(Device *device, DeviceScene *dscene, Scene *scene)
-{
-  if (!is_modified())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->background.times.add_entry({"device_update", time});
-    }
-  });
-
-  device_free(device, dscene);
-
-  Shader *bg_shader = get_shader(scene);
-
-  /* set shader index and transparent option */
-  KernelBackground *kbackground = &dscene->data.background;
-
-  kbackground->transparent = transparent;
-  kbackground->surface_shader = scene->shader_manager->get_shader_id(bg_shader);
-
-  if (transparent && transparent_glass) {
-    /* Square twice, once for principled BSDF convention, and once for
-     * faster comparison in kernel with anisotropic roughness. */
-    kbackground->transparent_roughness_squared_threshold = sqr(
-        sqr(transparent_roughness_threshold));
-  }
-  else {
-    kbackground->transparent_roughness_squared_threshold = -1.0f;
-  }
-
-  if (bg_shader->has_volume)
-    kbackground->volume_shader = kbackground->surface_shader;
-  else
-    kbackground->volume_shader = SHADER_NONE;
-
-  kbackground->volume_step_size = volume_step_size * scene->integrator->get_volume_step_rate();
-
-  /* No background node, make world shader invisible to all rays, to skip evaluation in kernel. */
-  if (bg_shader->graph->nodes.size() <= 1) {
-    kbackground->surface_shader |= SHADER_EXCLUDE_ANY;
-  }
-  /* Background present, check visibilities */
-  else {
-    if (!(visibility & PATH_RAY_DIFFUSE))
-      kbackground->surface_shader |= SHADER_EXCLUDE_DIFFUSE;
-    if (!(visibility & PATH_RAY_GLOSSY))
-      kbackground->surface_shader |= SHADER_EXCLUDE_GLOSSY;
-    if (!(visibility & PATH_RAY_TRANSMIT))
-      kbackground->surface_shader |= SHADER_EXCLUDE_TRANSMIT;
-    if (!(visibility & PATH_RAY_VOLUME_SCATTER))
-      kbackground->surface_shader |= SHADER_EXCLUDE_SCATTER;
-    if (!(visibility & PATH_RAY_CAMERA))
-      kbackground->surface_shader |= SHADER_EXCLUDE_CAMERA;
-  }
-
-  clear_modified();
-}
-
-void Background::device_free(Device * /*device*/, DeviceScene * /*dscene*/)
-{
-}
-
-void Background::tag_update(Scene *scene)
-{
-  Shader *bg_shader = get_shader(scene);
-  if (bg_shader && bg_shader->is_modified()) {
-    /* Tag as modified to update the KernelBackground visibility information.
-     * We only tag the use_shader socket as modified as it is related to the shader
-     * and to avoid doing unnecessary updates anywhere else. */
-    tag_use_shader_modified();
-  }
-}
-
-Shader *Background::get_shader(const Scene *scene)
-{
-  return (use_shader) ? ((shader) ? shader : scene->default_background) : scene->default_empty;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/background.h b/intern/cycles/render/background.h
deleted file mode 100644
index 2f7ef0f7737..00000000000
--- a/intern/cycles/render/background.h
+++ /dev/null
@@ -1,59 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __BACKGROUND_H__
-#define __BACKGROUND_H__
-
-#include "graph/node.h"
-
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Scene;
-class Shader;
-
-class Background : public Node {
- public:
-  NODE_DECLARE
-
-  NODE_SOCKET_API(bool, use_shader)
-
-  NODE_SOCKET_API(uint, visibility)
-  NODE_SOCKET_API(Shader *, shader)
-
-  NODE_SOCKET_API(bool, transparent)
-  NODE_SOCKET_API(bool, transparent_glass)
-  NODE_SOCKET_API(float, transparent_roughness_threshold)
-
-  NODE_SOCKET_API(float, volume_step_size)
-
-  Background();
-  ~Background();
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
-  void device_free(Device *device, DeviceScene *dscene);
-
-  void tag_update(Scene *scene);
-
-  Shader *get_shader(const Scene *scene);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __BACKGROUND_H__ */
diff --git a/intern/cycles/render/bake.cpp b/intern/cycles/render/bake.cpp
deleted file mode 100644
index 54e496caed6..00000000000
--- a/intern/cycles/render/bake.cpp
+++ /dev/null
@@ -1,104 +0,0 @@
-/*
- * Copyright 2011-2014 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/bake.h"
-#include "render/buffers.h"
-#include "render/integrator.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/shader.h"
-#include "render/stats.h"
-
-#include "util/util_foreach.h"
-
-CCL_NAMESPACE_BEGIN
-
-BakeManager::BakeManager()
-{
-  need_update_ = true;
-}
-
-BakeManager::~BakeManager()
-{
-}
-
-bool BakeManager::get_baking() const
-{
-  return !object_name.empty();
-}
-
-void BakeManager::set(Scene *scene, const std::string &object_name_)
-{
-  object_name = object_name_;
-
-  /* create device and update scene */
-  scene->film->tag_modified();
-  scene->integrator->tag_update(scene, Integrator::UPDATE_ALL);
-
-  need_update_ = true;
-}
-
-void BakeManager::device_update(Device * /*device*/,
-                                DeviceScene *dscene,
-                                Scene *scene,
-                                Progress & /* progress */)
-{
-  if (!need_update())
-    return;
-
-  KernelBake *kbake = &dscene->data.bake;
-  memset(kbake, 0, sizeof(*kbake));
-
-  if (!object_name.empty()) {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->bake.times.add_entry({"device_update", time});
-      }
-    });
-
-    kbake->use = true;
-
-    int object_index = 0;
-    foreach (Object *object, scene->objects) {
-      const Geometry *geom = object->get_geometry();
-      if (object->name == object_name && geom->geometry_type == Geometry::MESH) {
-        kbake->object_index = object_index;
-        kbake->tri_offset = geom->prim_offset;
-        break;
-      }
-
-      object_index++;
-    }
-  }
-
-  need_update_ = false;
-}
-
-void BakeManager::device_free(Device * /*device*/, DeviceScene * /*dscene*/)
-{
-}
-
-void BakeManager::tag_update()
-{
-  need_update_ = true;
-}
-
-bool BakeManager::need_update() const
-{
-  return need_update_;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/bake.h b/intern/cycles/render/bake.h
deleted file mode 100644
index 39e504490c2..00000000000
--- a/intern/cycles/render/bake.h
+++ /dev/null
@@ -1,50 +0,0 @@
-/*
- * Copyright 2011-2014 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __BAKE_H__
-#define __BAKE_H__
-
-#include "device/device.h"
-#include "render/scene.h"
-
-#include "util/util_progress.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class BakeManager {
- public:
-  BakeManager();
-  ~BakeManager();
-
-  void set(Scene *scene, const std::string &object_name);
-  bool get_baking() const;
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-  void device_free(Device *device, DeviceScene *dscene);
-
-  void tag_update();
-
-  bool need_update() const;
-
- private:
-  bool need_update_;
-  std::string object_name;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __BAKE_H__ */
diff --git a/intern/cycles/render/buffers.cpp b/intern/cycles/render/buffers.cpp
deleted file mode 100644
index 00b4284c22b..00000000000
--- a/intern/cycles/render/buffers.cpp
+++ /dev/null
@@ -1,384 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include <stdlib.h>
-
-#include "device/device.h"
-#include "render/buffers.h"
-
-#include "util/util_foreach.h"
-#include "util/util_hash.h"
-#include "util/util_math.h"
-#include "util/util_time.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* --------------------------------------------------------------------
- * Convert part information to an index of `BufferParams::pass_offset_`.
- */
-
-static int pass_type_mode_to_index(PassType pass_type, PassMode mode)
-{
-  int index = static_cast<int>(pass_type) * 2;
-
-  if (mode == PassMode::DENOISED) {
-    ++index;
-  }
-
-  return index;
-}
-
-static int pass_to_index(const BufferPass &pass)
-{
-  return pass_type_mode_to_index(pass.type, pass.mode);
-}
-
-/* --------------------------------------------------------------------
- * Buffer pass.
- */
-
-NODE_DEFINE(BufferPass)
-{
-  NodeType *type = NodeType::add("buffer_pass", create);
-
-  const NodeEnum *pass_type_enum = Pass::get_type_enum();
-  const NodeEnum *pass_mode_enum = Pass::get_mode_enum();
-
-  SOCKET_ENUM(type, "Type", *pass_type_enum, PASS_COMBINED);
-  SOCKET_ENUM(mode, "Mode", *pass_mode_enum, static_cast<int>(PassMode::DENOISED));
-  SOCKET_STRING(name, "Name", ustring());
-  SOCKET_BOOLEAN(include_albedo, "Include Albedo", false);
-
-  SOCKET_INT(offset, "Offset", -1);
-
-  return type;
-}
-
-BufferPass::BufferPass() : Node(get_node_type())
-{
-}
-
-BufferPass::BufferPass(const Pass *scene_pass)
-    : Node(get_node_type()),
-      type(scene_pass->get_type()),
-      mode(scene_pass->get_mode()),
-      name(scene_pass->get_name()),
-      include_albedo(scene_pass->get_include_albedo())
-{
-}
-
-PassInfo BufferPass::get_info() const
-{
-  return Pass::get_info(type, include_albedo);
-}
-
-/* --------------------------------------------------------------------
- * Buffer Params.
- */
-
-NODE_DEFINE(BufferParams)
-{
-  NodeType *type = NodeType::add("buffer_params", create);
-
-  SOCKET_INT(width, "Width", 0);
-  SOCKET_INT(height, "Height", 0);
-
-  SOCKET_INT(window_x, "Window X", 0);
-  SOCKET_INT(window_y, "Window Y", 0);
-  SOCKET_INT(window_width, "Window Width", 0);
-  SOCKET_INT(window_height, "Window Height", 0);
-
-  SOCKET_INT(full_x, "Full X", 0);
-  SOCKET_INT(full_y, "Full Y", 0);
-  SOCKET_INT(full_width, "Full Width", 0);
-  SOCKET_INT(full_height, "Full Height", 0);
-
-  SOCKET_STRING(layer, "Layer", ustring());
-  SOCKET_STRING(view, "View", ustring());
-  SOCKET_INT(samples, "Samples", 0);
-  SOCKET_FLOAT(exposure, "Exposure", 1.0f);
-  SOCKET_BOOLEAN(use_approximate_shadow_catcher, "Use Approximate Shadow Catcher", false);
-  SOCKET_BOOLEAN(use_transparent_background, "Transparent Background", false);
-
-  /* Notes:
-   *  - Skip passes since they do not follow typical container socket definition.
-   *    Might look into covering those as a socket in the future.
-   *
-   *  - Skip offset, stride, and pass stride since those can be delivered from the passes and
-   *    rest of the sockets. */
-
-  return type;
-}
-
-BufferParams::BufferParams() : Node(get_node_type())
-{
-  reset_pass_offset();
-}
-
-void BufferParams::update_passes()
-{
-  update_offset_stride();
-  reset_pass_offset();
-
-  pass_stride = 0;
-  for (const BufferPass &pass : passes) {
-    if (pass.offset != PASS_UNUSED) {
-      const int index = pass_to_index(pass);
-      if (pass_offset_[index] == PASS_UNUSED) {
-        pass_offset_[index] = pass_stride;
-      }
-
-      pass_stride += pass.get_info().num_components;
-    }
-  }
-}
-
-void BufferParams::update_passes(const vector<Pass *> &scene_passes)
-{
-  passes.clear();
-
-  pass_stride = 0;
-  for (const Pass *scene_pass : scene_passes) {
-    BufferPass buffer_pass(scene_pass);
-
-    if (scene_pass->is_written()) {
-      buffer_pass.offset = pass_stride;
-      pass_stride += scene_pass->get_info().num_components;
-    }
-    else {
-      buffer_pass.offset = PASS_UNUSED;
-    }
-
-    passes.emplace_back(std::move(buffer_pass));
-  }
-
-  update_passes();
-}
-
-void BufferParams::reset_pass_offset()
-{
-  for (int i = 0; i < kNumPassOffsets; ++i) {
-    pass_offset_[i] = PASS_UNUSED;
-  }
-}
-
-int BufferParams::get_pass_offset(PassType pass_type, PassMode mode) const
-{
-  if (pass_type == PASS_NONE || pass_type == PASS_UNUSED) {
-    return PASS_UNUSED;
-  }
-
-  const int index = pass_type_mode_to_index(pass_type, mode);
-  return pass_offset_[index];
-}
-
-const BufferPass *BufferParams::find_pass(string_view name) const
-{
-  for (const BufferPass &pass : passes) {
-    if (pass.name == name) {
-      return &pass;
-    }
-  }
-
-  return nullptr;
-}
-
-const BufferPass *BufferParams::find_pass(PassType type, PassMode mode) const
-{
-  for (const BufferPass &pass : passes) {
-    if (pass.type == type && pass.mode == mode) {
-      return &pass;
-    }
-  }
-
-  return nullptr;
-}
-
-const BufferPass *BufferParams::get_actual_display_pass(PassType type, PassMode mode) const
-{
-  const BufferPass *pass = find_pass(type, mode);
-  return get_actual_display_pass(pass);
-}
-
-const BufferPass *BufferParams::get_actual_display_pass(const BufferPass *pass) const
-{
-  if (!pass) {
-    return nullptr;
-  }
-
-  if (pass->type == PASS_COMBINED) {
-    const BufferPass *shadow_catcher_matte_pass = find_pass(PASS_SHADOW_CATCHER_MATTE, pass->mode);
-    if (shadow_catcher_matte_pass) {
-      pass = shadow_catcher_matte_pass;
-    }
-  }
-
-  return pass;
-}
-
-void BufferParams::update_offset_stride()
-{
-  offset = -(full_x + full_y * width);
-  stride = width;
-}
-
-bool BufferParams::modified(const BufferParams &other) const
-{
-  if (width != other.width || height != other.height) {
-    return true;
-  }
-
-  if (full_x != other.full_x || full_y != other.full_y || full_width != other.full_width ||
-      full_height != other.full_height) {
-    return true;
-  }
-
-  if (window_x != other.window_x || window_y != other.window_y ||
-      window_width != other.window_width || window_height != other.window_height) {
-    return true;
-  }
-
-  if (offset != other.offset || stride != other.stride || pass_stride != other.pass_stride) {
-    return true;
-  }
-
-  if (layer != other.layer || view != other.view) {
-    return false;
-  }
-
-  if (exposure != other.exposure ||
-      use_approximate_shadow_catcher != other.use_approximate_shadow_catcher ||
-      use_transparent_background != other.use_transparent_background) {
-    return true;
-  }
-
-  return !(passes == other.passes);
-}
-
-/* --------------------------------------------------------------------
- * Render Buffers.
- */
-
-RenderBuffers::RenderBuffers(Device *device) : buffer(device, "RenderBuffers", MEM_READ_WRITE)
-{
-}
-
-RenderBuffers::~RenderBuffers()
-{
-  buffer.free();
-}
-
-void RenderBuffers::reset(const BufferParams &params_)
-{
-  DCHECK(params_.pass_stride != -1);
-
-  params = params_;
-
-  /* re-allocate buffer */
-  buffer.alloc(params.width * params.pass_stride, params.height);
-}
-
-void RenderBuffers::zero()
-{
-  buffer.zero_to_device();
-}
-
-bool RenderBuffers::copy_from_device()
-{
-  DCHECK(params.pass_stride != -1);
-
-  if (!buffer.device_pointer)
-    return false;
-
-  buffer.copy_from_device(0, params.width * params.pass_stride, params.height);
-
-  return true;
-}
-
-void RenderBuffers::copy_to_device()
-{
-  buffer.copy_to_device();
-}
-
-void render_buffers_host_copy_denoised(RenderBuffers *dst,
-                                       const BufferParams &dst_params,
-                                       const RenderBuffers *src,
-                                       const BufferParams &src_params,
-                                       const size_t src_offset)
-{
-  DCHECK_EQ(dst_params.width, src_params.width);
-  /* TODO(sergey): More sanity checks to avoid buffer overrun. */
-
-  /* Create a map of pass offsets to be copied.
-   * Assume offsets are different to allow copying passes between buffers with different set of
-   * passes. */
-
-  struct {
-    int dst_offset;
-    int src_offset;
-  } pass_offsets[PASS_NUM];
-
-  int num_passes = 0;
-
-  for (int i = 0; i < PASS_NUM; ++i) {
-    const PassType pass_type = static_cast<PassType>(i);
-
-    const int dst_pass_offset = dst_params.get_pass_offset(pass_type, PassMode::DENOISED);
-    if (dst_pass_offset == PASS_UNUSED) {
-      continue;
-    }
-
-    const int src_pass_offset = src_params.get_pass_offset(pass_type, PassMode::DENOISED);
-    if (src_pass_offset == PASS_UNUSED) {
-      continue;
-    }
-
-    pass_offsets[num_passes].dst_offset = dst_pass_offset;
-    pass_offsets[num_passes].src_offset = src_pass_offset;
-    ++num_passes;
-  }
-
-  /* Copy passes. */
-  /* TODO(sergey): Make it more reusable, allowing implement copy of noisy passes. */
-
-  const int64_t dst_width = dst_params.width;
-  const int64_t dst_height = dst_params.height;
-  const int64_t dst_pass_stride = dst_params.pass_stride;
-  const int64_t dst_num_pixels = dst_width * dst_height;
-
-  const int64_t src_pass_stride = src_params.pass_stride;
-  const int64_t src_offset_in_floats = src_offset * src_pass_stride;
-
-  const float *src_pixel = src->buffer.data() + src_offset_in_floats;
-  float *dst_pixel = dst->buffer.data();
-
-  for (int i = 0; i < dst_num_pixels;
-       ++i, src_pixel += src_pass_stride, dst_pixel += dst_pass_stride) {
-    for (int pass_offset_idx = 0; pass_offset_idx < num_passes; ++pass_offset_idx) {
-      const int dst_pass_offset = pass_offsets[pass_offset_idx].dst_offset;
-      const int src_pass_offset = pass_offsets[pass_offset_idx].src_offset;
-
-      /* TODO(sergey): Support non-RGBA passes. */
-      dst_pixel[dst_pass_offset + 0] = src_pixel[src_pass_offset + 0];
-      dst_pixel[dst_pass_offset + 1] = src_pixel[src_pass_offset + 1];
-      dst_pixel[dst_pass_offset + 2] = src_pixel[src_pass_offset + 2];
-      dst_pixel[dst_pass_offset + 3] = src_pixel[src_pass_offset + 3];
-    }
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/buffers.h b/intern/cycles/render/buffers.h
deleted file mode 100644
index 3cf826f14d6..00000000000
--- a/intern/cycles/render/buffers.h
+++ /dev/null
@@ -1,199 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __BUFFERS_H__
-#define __BUFFERS_H__
-
-#include "device/device_memory.h"
-#include "graph/node.h"
-#include "render/pass.h"
-
-#include "kernel/kernel_types.h"
-
-#include "util/util_half.h"
-#include "util/util_string.h"
-#include "util/util_thread.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-struct DeviceDrawParams;
-struct float4;
-
-/* NOTE: Is not a real scene node. Using Node API for ease of (de)serialization. */
-class BufferPass : public Node {
- public:
-  NODE_DECLARE
-
-  PassType type = PASS_NONE;
-  PassMode mode = PassMode::NOISY;
-  ustring name;
-  bool include_albedo = false;
-
-  int offset = -1;
-
-  BufferPass();
-  explicit BufferPass(const Pass *scene_pass);
-
-  BufferPass(BufferPass &&other) noexcept = default;
-  BufferPass(const BufferPass &other) = default;
-
-  BufferPass &operator=(BufferPass &&other) = default;
-  BufferPass &operator=(const BufferPass &other) = default;
-
-  ~BufferPass() = default;
-
-  PassInfo get_info() const;
-
-  inline bool operator==(const BufferPass &other) const
-  {
-    return type == other.type && mode == other.mode && name == other.name &&
-           include_albedo == other.include_albedo && offset == other.offset;
-  }
-  inline bool operator!=(const BufferPass &other) const
-  {
-    return !(*this == other);
-  }
-};
-
-/* Buffer Parameters
- * Size of render buffer and how it fits in the full image (border render). */
-
-/* NOTE: Is not a real scene node. Using Node API for ease of (de)serialization. */
-class BufferParams : public Node {
- public:
-  NODE_DECLARE
-
-  /* Width/height of the physical buffer. */
-  int width = 0;
-  int height = 0;
-
-  /* Windows defines which part of the buffers is visible. The part outside of the window is
-   * considered an "overscan".
-   *
-   * Window X and Y are relative to the position of the buffer in the full buffer. */
-  int window_x = 0;
-  int window_y = 0;
-  int window_width = 0;
-  int window_height = 0;
-
-  /* Offset into and width/height of the full buffer. */
-  int full_x = 0;
-  int full_y = 0;
-  int full_width = 0;
-  int full_height = 0;
-
-  /* Runtime fields, only valid after `update_passes()` or `update_offset_stride()`. */
-  int offset = -1, stride = -1;
-
-  /* Runtime fields, only valid after `update_passes()`. */
-  int pass_stride = -1;
-
-  /* Properties which are used for accessing buffer pixels outside of scene graph. */
-  vector<BufferPass> passes;
-  ustring layer;
-  ustring view;
-  int samples = 0;
-  float exposure = 1.0f;
-  bool use_approximate_shadow_catcher = false;
-  bool use_transparent_background = false;
-
-  BufferParams();
-
-  BufferParams(BufferParams &&other) noexcept = default;
-  BufferParams(const BufferParams &other) = default;
-
-  BufferParams &operator=(BufferParams &&other) = default;
-  BufferParams &operator=(const BufferParams &other) = default;
-
-  ~BufferParams() = default;
-
-  /* Pre-calculate all fields which depends on the passes.
-   *
-   * When the scene passes are given, the buffer passes will be created from them and stored in
-   * this params, and then params are updated for those passes.
-   * The `update_passes()` without parameters updates offsets and strides which are stored outside
-   * of the passes. */
-  void update_passes();
-  void update_passes(const vector<Pass *> &scene_passes);
-
-  /* Returns PASS_UNUSED if there is no such pass in the buffer. */
-  int get_pass_offset(PassType type, PassMode mode = PassMode::NOISY) const;
-
-  /* Returns nullptr if pass with given name does not exist. */
-  const BufferPass *find_pass(string_view name) const;
-  const BufferPass *find_pass(PassType type, PassMode mode = PassMode::NOISY) const;
-
-  /* Get display pass from its name.
-   * Will do special logic to replace combined pass with shadow catcher matte. */
-  const BufferPass *get_actual_display_pass(PassType type, PassMode mode = PassMode::NOISY) const;
-  const BufferPass *get_actual_display_pass(const BufferPass *pass) const;
-
-  void update_offset_stride();
-
-  bool modified(const BufferParams &other) const;
-
- protected:
-  void reset_pass_offset();
-
-  /* Multiplied by 2 to be able to store noisy and denoised pass types. */
-  static constexpr int kNumPassOffsets = PASS_NUM * 2;
-
-  /* Indexed by an index derived from pass type and mode, indicates offset of the corresponding
-   * pass in the buffer.
-   * If there are multiple passes with same type and mode contains lowest offset of all of them. */
-  int pass_offset_[kNumPassOffsets];
-};
-
-/* Render Buffers */
-
-class RenderBuffers {
- public:
-  /* buffer parameters */
-  BufferParams params;
-
-  /* float buffer */
-  device_vector<float> buffer;
-
-  explicit RenderBuffers(Device *device);
-  ~RenderBuffers();
-
-  void reset(const BufferParams &params);
-  void zero();
-
-  bool copy_from_device();
-  void copy_to_device();
-};
-
-/* Copy denoised passes form source to destination.
- *
- * Buffer parameters are provided explicitly, allowing to copy pixels between render buffers which
- * content corresponds to a render result at a non-unit resolution divider.
- *
- * `src_offset` allows to offset source pixel index which is used when a fraction of the source
- * buffer is to be copied.
- *
- * Copy happens of the number of pixels in the destination. */
-void render_buffers_host_copy_denoised(RenderBuffers *dst,
-                                       const BufferParams &dst_params,
-                                       const RenderBuffers *src,
-                                       const BufferParams &src_params,
-                                       const size_t src_offset = 0);
-
-CCL_NAMESPACE_END
-
-#endif /* __BUFFERS_H__ */
diff --git a/intern/cycles/render/camera.cpp b/intern/cycles/render/camera.cpp
deleted file mode 100644
index 8b69c971991..00000000000
--- a/intern/cycles/render/camera.cpp
+++ /dev/null
@@ -1,819 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/camera.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/stats.h"
-#include "render/tables.h"
-
-#include "device/device.h"
-
-#include "util/util_foreach.h"
-#include "util/util_function.h"
-#include "util/util_logging.h"
-#include "util/util_math_cdf.h"
-#include "util/util_task.h"
-#include "util/util_time.h"
-#include "util/util_vector.h"
-
-/* needed for calculating differentials */
-// clang-format off
-#include "kernel/device/cpu/compat.h"
-#include "kernel/device/cpu/globals.h"
-
-#include "kernel/kernel_projection.h"
-#include "kernel/kernel_differential.h"
-#include "kernel/kernel_montecarlo.h"
-#include "kernel/kernel_camera.h"
-// clang-format on
-
-CCL_NAMESPACE_BEGIN
-
-static float shutter_curve_eval(float x, array<float> &shutter_curve)
-{
-  if (shutter_curve.size() == 0) {
-    return 1.0f;
-  }
-
-  x *= shutter_curve.size();
-  int index = (int)x;
-  float frac = x - index;
-  if (index < shutter_curve.size() - 1) {
-    return lerp(shutter_curve[index], shutter_curve[index + 1], frac);
-  }
-  else {
-    return shutter_curve[shutter_curve.size() - 1];
-  }
-}
-
-NODE_DEFINE(Camera)
-{
-  NodeType *type = NodeType::add("camera", create);
-
-  SOCKET_FLOAT(shuttertime, "Shutter Time", 1.0f);
-
-  static NodeEnum motion_position_enum;
-  motion_position_enum.insert("start", MOTION_POSITION_START);
-  motion_position_enum.insert("center", MOTION_POSITION_CENTER);
-  motion_position_enum.insert("end", MOTION_POSITION_END);
-  SOCKET_ENUM(motion_position, "Motion Position", motion_position_enum, MOTION_POSITION_CENTER);
-
-  static NodeEnum rolling_shutter_type_enum;
-  rolling_shutter_type_enum.insert("none", ROLLING_SHUTTER_NONE);
-  rolling_shutter_type_enum.insert("top", ROLLING_SHUTTER_TOP);
-  SOCKET_ENUM(rolling_shutter_type,
-              "Rolling Shutter Type",
-              rolling_shutter_type_enum,
-              ROLLING_SHUTTER_NONE);
-  SOCKET_FLOAT(rolling_shutter_duration, "Rolling Shutter Duration", 0.1f);
-
-  SOCKET_FLOAT_ARRAY(shutter_curve, "Shutter Curve", array<float>());
-
-  SOCKET_FLOAT(aperturesize, "Aperture Size", 0.0f);
-  SOCKET_FLOAT(focaldistance, "Focal Distance", 10.0f);
-  SOCKET_UINT(blades, "Blades", 0);
-  SOCKET_FLOAT(bladesrotation, "Blades Rotation", 0.0f);
-
-  SOCKET_TRANSFORM(matrix, "Matrix", transform_identity());
-  SOCKET_TRANSFORM_ARRAY(motion, "Motion", array<Transform>());
-
-  SOCKET_FLOAT(aperture_ratio, "Aperture Ratio", 1.0f);
-
-  static NodeEnum type_enum;
-  type_enum.insert("perspective", CAMERA_PERSPECTIVE);
-  type_enum.insert("orthograph", CAMERA_ORTHOGRAPHIC);
-  type_enum.insert("panorama", CAMERA_PANORAMA);
-  SOCKET_ENUM(camera_type, "Type", type_enum, CAMERA_PERSPECTIVE);
-
-  static NodeEnum panorama_type_enum;
-  panorama_type_enum.insert("equirectangular", PANORAMA_EQUIRECTANGULAR);
-  panorama_type_enum.insert("mirrorball", PANORAMA_MIRRORBALL);
-  panorama_type_enum.insert("fisheye_equidistant", PANORAMA_FISHEYE_EQUIDISTANT);
-  panorama_type_enum.insert("fisheye_equisolid", PANORAMA_FISHEYE_EQUISOLID);
-  SOCKET_ENUM(panorama_type, "Panorama Type", panorama_type_enum, PANORAMA_EQUIRECTANGULAR);
-
-  SOCKET_FLOAT(fisheye_fov, "Fisheye FOV", M_PI_F);
-  SOCKET_FLOAT(fisheye_lens, "Fisheye Lens", 10.5f);
-  SOCKET_FLOAT(latitude_min, "Latitude Min", -M_PI_2_F);
-  SOCKET_FLOAT(latitude_max, "Latitude Max", M_PI_2_F);
-  SOCKET_FLOAT(longitude_min, "Longitude Min", -M_PI_F);
-  SOCKET_FLOAT(longitude_max, "Longitude Max", M_PI_F);
-  SOCKET_FLOAT(fov, "FOV", M_PI_4_F);
-  SOCKET_FLOAT(fov_pre, "FOV Pre", M_PI_4_F);
-  SOCKET_FLOAT(fov_post, "FOV Post", M_PI_4_F);
-
-  static NodeEnum stereo_eye_enum;
-  stereo_eye_enum.insert("none", STEREO_NONE);
-  stereo_eye_enum.insert("left", STEREO_LEFT);
-  stereo_eye_enum.insert("right", STEREO_RIGHT);
-  SOCKET_ENUM(stereo_eye, "Stereo Eye", stereo_eye_enum, STEREO_NONE);
-
-  SOCKET_BOOLEAN(use_spherical_stereo, "Use Spherical Stereo", false);
-
-  SOCKET_FLOAT(interocular_distance, "Interocular Distance", 0.065f);
-  SOCKET_FLOAT(convergence_distance, "Convergence Distance", 30.0f * 0.065f);
-
-  SOCKET_BOOLEAN(use_pole_merge, "Use Pole Merge", false);
-  SOCKET_FLOAT(pole_merge_angle_from, "Pole Merge Angle From", 60.0f * M_PI_F / 180.0f);
-  SOCKET_FLOAT(pole_merge_angle_to, "Pole Merge Angle To", 75.0f * M_PI_F / 180.0f);
-
-  SOCKET_FLOAT(sensorwidth, "Sensor Width", 0.036f);
-  SOCKET_FLOAT(sensorheight, "Sensor Height", 0.024f);
-
-  SOCKET_FLOAT(nearclip, "Near Clip", 1e-5f);
-  SOCKET_FLOAT(farclip, "Far Clip", 1e5f);
-
-  SOCKET_FLOAT(viewplane.left, "Viewplane Left", 0);
-  SOCKET_FLOAT(viewplane.right, "Viewplane Right", 0);
-  SOCKET_FLOAT(viewplane.bottom, "Viewplane Bottom", 0);
-  SOCKET_FLOAT(viewplane.top, "Viewplane Top", 0);
-
-  SOCKET_FLOAT(border.left, "Border Left", 0);
-  SOCKET_FLOAT(border.right, "Border Right", 0);
-  SOCKET_FLOAT(border.bottom, "Border Bottom", 0);
-  SOCKET_FLOAT(border.top, "Border Top", 0);
-
-  SOCKET_FLOAT(viewport_camera_border.left, "Viewport Border Left", 0);
-  SOCKET_FLOAT(viewport_camera_border.right, "Viewport Border Right", 0);
-  SOCKET_FLOAT(viewport_camera_border.bottom, "Viewport Border Bottom", 0);
-  SOCKET_FLOAT(viewport_camera_border.top, "Viewport Border Top", 0);
-
-  SOCKET_FLOAT(offscreen_dicing_scale, "Offscreen Dicing Scale", 1.0f);
-
-  SOCKET_INT(full_width, "Full Width", 1024);
-  SOCKET_INT(full_height, "Full Height", 512);
-
-  SOCKET_BOOLEAN(use_perspective_motion, "Use Perspective Motion", false);
-
-  return type;
-}
-
-Camera::Camera() : Node(get_node_type())
-{
-  shutter_table_offset = TABLE_OFFSET_INVALID;
-
-  width = 1024;
-  height = 512;
-
-  use_perspective_motion = false;
-
-  shutter_curve.resize(RAMP_TABLE_SIZE);
-  for (int i = 0; i < shutter_curve.size(); ++i) {
-    shutter_curve[i] = 1.0f;
-  }
-
-  compute_auto_viewplane();
-
-  screentoworld = projection_identity();
-  rastertoworld = projection_identity();
-  ndctoworld = projection_identity();
-  rastertocamera = projection_identity();
-  cameratoworld = transform_identity();
-  worldtoraster = projection_identity();
-
-  full_rastertocamera = projection_identity();
-
-  dx = zero_float3();
-  dy = zero_float3();
-
-  need_device_update = true;
-  need_flags_update = true;
-  previous_need_motion = -1;
-
-  memset((void *)&kernel_camera, 0, sizeof(kernel_camera));
-}
-
-Camera::~Camera()
-{
-}
-
-void Camera::compute_auto_viewplane()
-{
-  if (camera_type == CAMERA_PANORAMA) {
-    viewplane.left = 0.0f;
-    viewplane.right = 1.0f;
-    viewplane.bottom = 0.0f;
-    viewplane.top = 1.0f;
-  }
-  else {
-    float aspect = (float)full_width / (float)full_height;
-    if (full_width >= full_height) {
-      viewplane.left = -aspect;
-      viewplane.right = aspect;
-      viewplane.bottom = -1.0f;
-      viewplane.top = 1.0f;
-    }
-    else {
-      viewplane.left = -1.0f;
-      viewplane.right = 1.0f;
-      viewplane.bottom = -1.0f / aspect;
-      viewplane.top = 1.0f / aspect;
-    }
-  }
-}
-
-void Camera::update(Scene *scene)
-{
-  Scene::MotionType need_motion = scene->need_motion();
-
-  if (previous_need_motion != need_motion) {
-    /* scene's motion model could have been changed since previous device
-     * camera update this could happen for example in case when one render
-     * layer has got motion pass and another not */
-    need_device_update = true;
-  }
-
-  if (!is_modified())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->camera.times.add_entry({"update", time});
-    }
-  });
-
-  /* Full viewport to camera border in the viewport. */
-  Transform fulltoborder = transform_from_viewplane(viewport_camera_border);
-  Transform bordertofull = transform_inverse(fulltoborder);
-
-  /* NDC to raster. */
-  Transform ndctoraster = transform_scale(width, height, 1.0f) * bordertofull;
-  Transform full_ndctoraster = transform_scale(full_width, full_height, 1.0f) * bordertofull;
-
-  /* Raster to screen. */
-  Transform screentondc = fulltoborder * transform_from_viewplane(viewplane);
-
-  Transform screentoraster = ndctoraster * screentondc;
-  Transform rastertoscreen = transform_inverse(screentoraster);
-  Transform full_screentoraster = full_ndctoraster * screentondc;
-  Transform full_rastertoscreen = transform_inverse(full_screentoraster);
-
-  /* Screen to camera. */
-  ProjectionTransform cameratoscreen;
-  if (camera_type == CAMERA_PERSPECTIVE)
-    cameratoscreen = projection_perspective(fov, nearclip, farclip);
-  else if (camera_type == CAMERA_ORTHOGRAPHIC)
-    cameratoscreen = projection_orthographic(nearclip, farclip);
-  else
-    cameratoscreen = projection_identity();
-
-  ProjectionTransform screentocamera = projection_inverse(cameratoscreen);
-
-  rastertocamera = screentocamera * rastertoscreen;
-  full_rastertocamera = screentocamera * full_rastertoscreen;
-  cameratoraster = screentoraster * cameratoscreen;
-
-  cameratoworld = matrix;
-  screentoworld = cameratoworld * screentocamera;
-  rastertoworld = cameratoworld * rastertocamera;
-  ndctoworld = rastertoworld * ndctoraster;
-
-  /* note we recompose matrices instead of taking inverses of the above, this
-   * is needed to avoid inverting near degenerate matrices that happen due to
-   * precision issues with large scenes */
-  worldtocamera = transform_inverse(matrix);
-  worldtoscreen = cameratoscreen * worldtocamera;
-  worldtondc = screentondc * worldtoscreen;
-  worldtoraster = ndctoraster * worldtondc;
-
-  /* differentials */
-  if (camera_type == CAMERA_ORTHOGRAPHIC) {
-    dx = transform_perspective_direction(&rastertocamera, make_float3(1, 0, 0));
-    dy = transform_perspective_direction(&rastertocamera, make_float3(0, 1, 0));
-    full_dx = transform_perspective_direction(&full_rastertocamera, make_float3(1, 0, 0));
-    full_dy = transform_perspective_direction(&full_rastertocamera, make_float3(0, 1, 0));
-  }
-  else if (camera_type == CAMERA_PERSPECTIVE) {
-    dx = transform_perspective(&rastertocamera, make_float3(1, 0, 0)) -
-         transform_perspective(&rastertocamera, make_float3(0, 0, 0));
-    dy = transform_perspective(&rastertocamera, make_float3(0, 1, 0)) -
-         transform_perspective(&rastertocamera, make_float3(0, 0, 0));
-    full_dx = transform_perspective(&full_rastertocamera, make_float3(1, 0, 0)) -
-              transform_perspective(&full_rastertocamera, make_float3(0, 0, 0));
-    full_dy = transform_perspective(&full_rastertocamera, make_float3(0, 1, 0)) -
-              transform_perspective(&full_rastertocamera, make_float3(0, 0, 0));
-  }
-  else {
-    dx = zero_float3();
-    dy = zero_float3();
-  }
-
-  dx = transform_direction(&cameratoworld, dx);
-  dy = transform_direction(&cameratoworld, dy);
-  full_dx = transform_direction(&cameratoworld, full_dx);
-  full_dy = transform_direction(&cameratoworld, full_dy);
-
-  if (camera_type == CAMERA_PERSPECTIVE) {
-    float3 v = transform_perspective(&full_rastertocamera,
-                                     make_float3(full_width, full_height, 1.0f));
-    frustum_right_normal = normalize(make_float3(v.z, 0.0f, -v.x));
-    frustum_top_normal = normalize(make_float3(0.0f, v.z, -v.y));
-
-    v = transform_perspective(&full_rastertocamera, make_float3(0.0f, 0.0f, 1.0f));
-    frustum_left_normal = normalize(make_float3(-v.z, 0.0f, v.x));
-    frustum_bottom_normal = normalize(make_float3(0.0f, -v.z, v.y));
-  }
-
-  /* Compute kernel camera data. */
-  KernelCamera *kcam = &kernel_camera;
-
-  /* store matrices */
-  kcam->screentoworld = screentoworld;
-  kcam->rastertoworld = rastertoworld;
-  kcam->rastertocamera = rastertocamera;
-  kcam->cameratoworld = cameratoworld;
-  kcam->worldtocamera = worldtocamera;
-  kcam->worldtoscreen = worldtoscreen;
-  kcam->worldtoraster = worldtoraster;
-  kcam->worldtondc = worldtondc;
-  kcam->ndctoworld = ndctoworld;
-
-  /* camera motion */
-  kcam->num_motion_steps = 0;
-  kcam->have_perspective_motion = 0;
-  kernel_camera_motion.clear();
-
-  /* Test if any of the transforms are actually different. */
-  bool have_motion = false;
-  for (size_t i = 0; i < motion.size(); i++) {
-    have_motion = have_motion || motion[i] != matrix;
-  }
-
-  if (need_motion == Scene::MOTION_PASS) {
-    /* TODO(sergey): Support perspective (zoom, fov) motion. */
-    if (camera_type == CAMERA_PANORAMA) {
-      if (have_motion) {
-        kcam->motion_pass_pre = transform_inverse(motion[0]);
-        kcam->motion_pass_post = transform_inverse(motion[motion.size() - 1]);
-      }
-      else {
-        kcam->motion_pass_pre = kcam->worldtocamera;
-        kcam->motion_pass_post = kcam->worldtocamera;
-      }
-    }
-    else {
-      if (have_motion) {
-        kcam->perspective_pre = cameratoraster * transform_inverse(motion[0]);
-        kcam->perspective_post = cameratoraster * transform_inverse(motion[motion.size() - 1]);
-      }
-      else {
-        kcam->perspective_pre = worldtoraster;
-        kcam->perspective_post = worldtoraster;
-      }
-    }
-  }
-  else if (need_motion == Scene::MOTION_BLUR) {
-    if (have_motion) {
-      kernel_camera_motion.resize(motion.size());
-      transform_motion_decompose(kernel_camera_motion.data(), motion.data(), motion.size());
-      kcam->num_motion_steps = motion.size();
-    }
-
-    /* TODO(sergey): Support other types of camera. */
-    if (use_perspective_motion && camera_type == CAMERA_PERSPECTIVE) {
-      /* TODO(sergey): Move to an utility function and de-duplicate with
-       * calculation above.
-       */
-      ProjectionTransform screentocamera_pre = projection_inverse(
-          projection_perspective(fov_pre, nearclip, farclip));
-      ProjectionTransform screentocamera_post = projection_inverse(
-          projection_perspective(fov_post, nearclip, farclip));
-
-      kcam->perspective_pre = screentocamera_pre * rastertoscreen;
-      kcam->perspective_post = screentocamera_post * rastertoscreen;
-      kcam->have_perspective_motion = 1;
-    }
-  }
-
-  /* depth of field */
-  kcam->aperturesize = aperturesize;
-  kcam->focaldistance = focaldistance;
-  kcam->blades = (blades < 3) ? 0.0f : blades;
-  kcam->bladesrotation = bladesrotation;
-
-  /* motion blur */
-  kcam->shuttertime = (need_motion == Scene::MOTION_BLUR) ? shuttertime : -1.0f;
-
-  /* type */
-  kcam->type = camera_type;
-
-  /* anamorphic lens bokeh */
-  kcam->inv_aperture_ratio = 1.0f / aperture_ratio;
-
-  /* panorama */
-  kcam->panorama_type = panorama_type;
-  kcam->fisheye_fov = fisheye_fov;
-  kcam->fisheye_lens = fisheye_lens;
-  kcam->equirectangular_range = make_float4(longitude_min - longitude_max,
-                                            -longitude_min,
-                                            latitude_min - latitude_max,
-                                            -latitude_min + M_PI_2_F);
-
-  switch (stereo_eye) {
-    case STEREO_LEFT:
-      kcam->interocular_offset = -interocular_distance * 0.5f;
-      break;
-    case STEREO_RIGHT:
-      kcam->interocular_offset = interocular_distance * 0.5f;
-      break;
-    case STEREO_NONE:
-    default:
-      kcam->interocular_offset = 0.0f;
-      break;
-  }
-
-  kcam->convergence_distance = convergence_distance;
-  if (use_pole_merge) {
-    kcam->pole_merge_angle_from = pole_merge_angle_from;
-    kcam->pole_merge_angle_to = pole_merge_angle_to;
-  }
-  else {
-    kcam->pole_merge_angle_from = -1.0f;
-    kcam->pole_merge_angle_to = -1.0f;
-  }
-
-  /* sensor size */
-  kcam->sensorwidth = sensorwidth;
-  kcam->sensorheight = sensorheight;
-
-  /* render size */
-  kcam->width = width;
-  kcam->height = height;
-
-  /* store differentials */
-  kcam->dx = float3_to_float4(dx);
-  kcam->dy = float3_to_float4(dy);
-
-  /* clipping */
-  kcam->nearclip = nearclip;
-  kcam->cliplength = (farclip == FLT_MAX) ? FLT_MAX : farclip - nearclip;
-
-  /* Camera in volume. */
-  kcam->is_inside_volume = 0;
-
-  /* Rolling shutter effect */
-  kcam->rolling_shutter_type = rolling_shutter_type;
-  kcam->rolling_shutter_duration = rolling_shutter_duration;
-
-  /* Set further update flags */
-  clear_modified();
-  need_device_update = true;
-  need_flags_update = true;
-  previous_need_motion = need_motion;
-}
-
-void Camera::device_update(Device * /* device */, DeviceScene *dscene, Scene *scene)
-{
-  update(scene);
-
-  if (!need_device_update)
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->camera.times.add_entry({"device_update", time});
-    }
-  });
-
-  scene->lookup_tables->remove_table(&shutter_table_offset);
-  if (kernel_camera.shuttertime != -1.0f) {
-    vector<float> shutter_table;
-    util_cdf_inverted(SHUTTER_TABLE_SIZE,
-                      0.0f,
-                      1.0f,
-                      function_bind(shutter_curve_eval, _1, shutter_curve),
-                      false,
-                      shutter_table);
-    shutter_table_offset = scene->lookup_tables->add_table(dscene, shutter_table);
-    kernel_camera.shutter_table_offset = (int)shutter_table_offset;
-  }
-
-  dscene->data.cam = kernel_camera;
-
-  size_t num_motion_steps = kernel_camera_motion.size();
-  if (num_motion_steps) {
-    DecomposedTransform *camera_motion = dscene->camera_motion.alloc(num_motion_steps);
-    memcpy(camera_motion, kernel_camera_motion.data(), sizeof(*camera_motion) * num_motion_steps);
-    dscene->camera_motion.copy_to_device();
-  }
-  else {
-    dscene->camera_motion.free();
-  }
-}
-
-void Camera::device_update_volume(Device * /*device*/, DeviceScene *dscene, Scene *scene)
-{
-  if (!need_device_update && !need_flags_update) {
-    return;
-  }
-
-  KernelIntegrator *kintegrator = &dscene->data.integrator;
-  if (kintegrator->use_volumes) {
-    KernelCamera *kcam = &dscene->data.cam;
-    BoundBox viewplane_boundbox = viewplane_bounds_get();
-
-    /* Parallel object update, with grain size to avoid too much threading overhead
-     * for individual objects. */
-    static const int OBJECTS_PER_TASK = 32;
-    parallel_for(blocked_range<size_t>(0, scene->objects.size(), OBJECTS_PER_TASK),
-                 [&](const blocked_range<size_t> &r) {
-                   for (size_t i = r.begin(); i != r.end(); i++) {
-                     Object *object = scene->objects[i];
-                     if (object->get_geometry()->has_volume &&
-                         viewplane_boundbox.intersects(object->bounds)) {
-                       /* TODO(sergey): Consider adding more grained check. */
-                       VLOG(1) << "Detected camera inside volume.";
-                       kcam->is_inside_volume = 1;
-                       parallel_for_cancel();
-                       break;
-                     }
-                   }
-                 });
-
-    if (!kcam->is_inside_volume) {
-      VLOG(1) << "Camera is outside of the volume.";
-    }
-  }
-
-  need_device_update = false;
-  need_flags_update = false;
-}
-
-void Camera::device_free(Device * /*device*/, DeviceScene *dscene, Scene *scene)
-{
-  scene->lookup_tables->remove_table(&shutter_table_offset);
-  dscene->camera_motion.free();
-}
-
-float3 Camera::transform_raster_to_world(float raster_x, float raster_y)
-{
-  float3 D, P;
-  if (camera_type == CAMERA_PERSPECTIVE) {
-    D = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
-    float3 Pclip = normalize(D);
-    P = zero_float3();
-    /* TODO(sergey): Aperture support? */
-    P = transform_point(&cameratoworld, P);
-    D = normalize(transform_direction(&cameratoworld, D));
-    /* TODO(sergey): Clipping is conditional in kernel, and hence it could
-     * be mistakes in here, currently leading to wrong camera-in-volume
-     * detection.
-     */
-    P += nearclip * D / Pclip.z;
-  }
-  else if (camera_type == CAMERA_ORTHOGRAPHIC) {
-    D = make_float3(0.0f, 0.0f, 1.0f);
-    /* TODO(sergey): Aperture support? */
-    P = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
-    P = transform_point(&cameratoworld, P);
-    D = normalize(transform_direction(&cameratoworld, D));
-  }
-  else {
-    assert(!"unsupported camera type");
-  }
-  return P;
-}
-
-BoundBox Camera::viewplane_bounds_get()
-{
-  /* TODO(sergey): This is all rather stupid, but is there a way to perform
-   * checks we need in a more clear and smart fashion? */
-  BoundBox bounds = BoundBox::empty;
-
-  if (camera_type == CAMERA_PANORAMA) {
-    if (use_spherical_stereo == false) {
-      bounds.grow(make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w));
-    }
-    else {
-      float half_eye_distance = interocular_distance * 0.5f;
-
-      bounds.grow(make_float3(
-          cameratoworld.x.w + half_eye_distance, cameratoworld.y.w, cameratoworld.z.w));
-
-      bounds.grow(make_float3(
-          cameratoworld.z.w, cameratoworld.y.w + half_eye_distance, cameratoworld.z.w));
-
-      bounds.grow(make_float3(
-          cameratoworld.x.w - half_eye_distance, cameratoworld.y.w, cameratoworld.z.w));
-
-      bounds.grow(make_float3(
-          cameratoworld.x.w, cameratoworld.y.w - half_eye_distance, cameratoworld.z.w));
-    }
-  }
-  else {
-    bounds.grow(transform_raster_to_world(0.0f, 0.0f));
-    bounds.grow(transform_raster_to_world(0.0f, (float)height));
-    bounds.grow(transform_raster_to_world((float)width, (float)height));
-    bounds.grow(transform_raster_to_world((float)width, 0.0f));
-    if (camera_type == CAMERA_PERSPECTIVE) {
-      /* Center point has the most distance in local Z axis,
-       * use it to construct bounding box/
-       */
-      bounds.grow(transform_raster_to_world(0.5f * width, 0.5f * height));
-    }
-  }
-  return bounds;
-}
-
-float Camera::world_to_raster_size(float3 P)
-{
-  float res = 1.0f;
-
-  if (camera_type == CAMERA_ORTHOGRAPHIC) {
-    res = min(len(full_dx), len(full_dy));
-
-    if (offscreen_dicing_scale > 1.0f) {
-      float3 p = transform_point(&worldtocamera, P);
-      float3 v1 = transform_perspective(&full_rastertocamera,
-                                        make_float3(full_width, full_height, 0.0f));
-      float3 v2 = transform_perspective(&full_rastertocamera, zero_float3());
-
-      /* Create point clamped to frustum */
-      float3 c;
-      c.x = max(v2.x, min(v1.x, p.x));
-      c.y = max(v2.y, min(v1.y, p.y));
-      c.z = max(0.0f, p.z);
-
-      /* Check right side */
-      float f_dist = len(p - c) / sqrtf((v1.x * v1.x + v1.y * v1.y) * 0.5f);
-      if (f_dist < 0.0f) {
-        /* Check left side */
-        f_dist = len(p - c) / sqrtf((v2.x * v2.x + v2.y * v2.y) * 0.5f);
-      }
-      if (f_dist > 0.0f) {
-        res += res * f_dist * (offscreen_dicing_scale - 1.0f);
-      }
-    }
-  }
-  else if (camera_type == CAMERA_PERSPECTIVE) {
-    /* Calculate as if point is directly ahead of the camera. */
-    float3 raster = make_float3(0.5f * full_width, 0.5f * full_height, 0.0f);
-    float3 Pcamera = transform_perspective(&full_rastertocamera, raster);
-
-    /* dDdx */
-    float3 Ddiff = transform_direction(&cameratoworld, Pcamera);
-    float3 dx = len_squared(full_dx) < len_squared(full_dy) ? full_dx : full_dy;
-    float3 dDdx = normalize(Ddiff + dx) - normalize(Ddiff);
-
-    /* dPdx */
-    float dist = len(transform_point(&worldtocamera, P));
-    float3 D = normalize(Ddiff);
-    res = len(dist * dDdx - dot(dist * dDdx, D) * D);
-
-    /* Decent approx distance to frustum
-     * (doesn't handle corners correctly, but not that big of a deal) */
-    float f_dist = 0.0f;
-
-    if (offscreen_dicing_scale > 1.0f) {
-      float3 p = transform_point(&worldtocamera, P);
-
-      /* Distance from the four planes */
-      float r = dot(p, frustum_right_normal);
-      float t = dot(p, frustum_top_normal);
-      float l = dot(p, frustum_left_normal);
-      float b = dot(p, frustum_bottom_normal);
-
-      if (r <= 0.0f && l <= 0.0f && t <= 0.0f && b <= 0.0f) {
-        /* Point is inside frustum */
-        f_dist = 0.0f;
-      }
-      else if (r > 0.0f && l > 0.0f && t > 0.0f && b > 0.0f) {
-        /* Point is behind frustum */
-        f_dist = len(p);
-      }
-      else {
-        /* Point may be behind or off to the side, need to check */
-        float3 along_right = make_float3(-frustum_right_normal.z, 0.0f, frustum_right_normal.x);
-        float3 along_left = make_float3(frustum_left_normal.z, 0.0f, -frustum_left_normal.x);
-        float3 along_top = make_float3(0.0f, -frustum_top_normal.z, frustum_top_normal.y);
-        float3 along_bottom = make_float3(0.0f, frustum_bottom_normal.z, -frustum_bottom_normal.y);
-
-        float dist[] = {r, l, t, b};
-        float3 along[] = {along_right, along_left, along_top, along_bottom};
-
-        bool test_o = false;
-
-        float *d = dist;
-        float3 *a = along;
-        for (int i = 0; i < 4; i++, d++, a++) {
-          /* Test if we should check this side at all */
-          if (*d > 0.0f) {
-            if (dot(p, *a) >= 0.0f) {
-              /* We are in front of the back edge of this side of the frustum */
-              f_dist = max(f_dist, *d);
-            }
-            else {
-              /* Possibly far enough behind the frustum to use distance to origin instead of edge
-               */
-              test_o = true;
-            }
-          }
-        }
-
-        if (test_o) {
-          f_dist = (f_dist > 0) ? min(f_dist, len(p)) : len(p);
-        }
-      }
-
-      if (f_dist > 0.0f) {
-        res += len(dDdx - dot(dDdx, D) * D) * f_dist * (offscreen_dicing_scale - 1.0f);
-      }
-    }
-  }
-  else if (camera_type == CAMERA_PANORAMA) {
-    float3 D = transform_point(&worldtocamera, P);
-    float dist = len(D);
-
-    Ray ray;
-    memset(&ray, 0, sizeof(ray));
-
-    /* Distortion can become so great that the results become meaningless, there
-     * may be a better way to do this, but calculating differentials from the
-     * point directly ahead seems to produce good enough results. */
-#if 0
-    float2 dir = direction_to_panorama(&kernel_camera, kernel_camera_motion.data(), normalize(D));
-    float3 raster = transform_perspective(&full_cameratoraster, make_float3(dir.x, dir.y, 0.0f));
-
-    ray.t = 1.0f;
-    camera_sample_panorama(
-        &kernel_camera, kernel_camera_motion.data(), raster.x, raster.y, 0.0f, 0.0f, &ray);
-    if (ray.t == 0.0f) {
-      /* No differentials, just use from directly ahead. */
-      camera_sample_panorama(&kernel_camera,
-                             kernel_camera_motion.data(),
-                             0.5f * full_width,
-                             0.5f * full_height,
-                             0.0f,
-                             0.0f,
-                             &ray);
-    }
-#else
-    camera_sample_panorama(&kernel_camera,
-#  ifdef __CAMERA_MOTION__
-                           kernel_camera_motion.data(),
-#  endif
-                           0.5f * full_width,
-                           0.5f * full_height,
-                           0.0f,
-                           0.0f,
-                           &ray);
-#endif
-
-    /* TODO: would it help to use more accurate differentials here? */
-    differential3 dP;
-    differential_transfer_compact(&dP, ray.dP, ray.D, ray.dD, ray.D, dist);
-
-    return max(len(dP.dx), len(dP.dy));
-  }
-
-  return res;
-}
-
-bool Camera::use_motion() const
-{
-  return motion.size() > 1;
-}
-
-void Camera::set_screen_size(int width_, int height_)
-{
-  if (width_ != width || height_ != height) {
-    width = width_;
-    height = height_;
-    tag_modified();
-  }
-}
-
-float Camera::motion_time(int step) const
-{
-  return (use_motion()) ? 2.0f * step / (motion.size() - 1) - 1.0f : 0.0f;
-}
-
-int Camera::motion_step(float time) const
-{
-  if (use_motion()) {
-    for (int step = 0; step < motion.size(); step++) {
-      if (time == motion_time(step)) {
-        return step;
-      }
-    }
-  }
-
-  return -1;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/camera.h b/intern/cycles/render/camera.h
deleted file mode 100644
index cb8ecac1a7e..00000000000
--- a/intern/cycles/render/camera.h
+++ /dev/null
@@ -1,236 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __CAMERA_H__
-#define __CAMERA_H__
-
-#include "kernel/kernel_types.h"
-
-#include "graph/node.h"
-
-#include "util/util_array.h"
-#include "util/util_boundbox.h"
-#include "util/util_projection.h"
-#include "util/util_transform.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Scene;
-
-/* Camera
- *
- * The camera parameters are quite standard, tested to be both compatible with
- * Renderman, and Blender after remapping.
- */
-
-class Camera : public Node {
- public:
-  NODE_DECLARE
-
-  /* Specifies an offset for the shutter's time interval. */
-  enum MotionPosition {
-    /* Shutter opens at the current frame. */
-    MOTION_POSITION_START = 0,
-    /* Shutter is fully open at the current frame. */
-    MOTION_POSITION_CENTER = 1,
-    /* Shutter closes at the current frame. */
-    MOTION_POSITION_END = 2,
-
-    MOTION_NUM_POSITIONS,
-  };
-
-  /* Specifies rolling shutter effect. */
-  enum RollingShutterType {
-    /* No rolling shutter effect. */
-    ROLLING_SHUTTER_NONE = 0,
-    /* Sensor is being scanned vertically from top to bottom. */
-    ROLLING_SHUTTER_TOP = 1,
-
-    ROLLING_SHUTTER_NUM_TYPES,
-  };
-
-  /* Stereo Type */
-  enum StereoEye {
-    STEREO_NONE,
-    STEREO_LEFT,
-    STEREO_RIGHT,
-  };
-
-  /* motion blur */
-  NODE_SOCKET_API(float, shuttertime)
-  NODE_SOCKET_API(MotionPosition, motion_position)
-  NODE_SOCKET_API_ARRAY(array<float>, shutter_curve)
-  size_t shutter_table_offset;
-
-  /* ** Rolling shutter effect. ** */
-  /* Defines rolling shutter effect type. */
-  NODE_SOCKET_API(RollingShutterType, rolling_shutter_type)
-  /* Specifies exposure time of scan-lines when using
-   * rolling shutter effect.
-   */
-  NODE_SOCKET_API(float, rolling_shutter_duration)
-
-  /* depth of field */
-  NODE_SOCKET_API(float, focaldistance)
-  NODE_SOCKET_API(float, aperturesize)
-  NODE_SOCKET_API(uint, blades)
-  NODE_SOCKET_API(float, bladesrotation)
-
-  /* type */
-  NODE_SOCKET_API(CameraType, camera_type)
-  NODE_SOCKET_API(float, fov)
-
-  /* panorama */
-  NODE_SOCKET_API(PanoramaType, panorama_type)
-  NODE_SOCKET_API(float, fisheye_fov)
-  NODE_SOCKET_API(float, fisheye_lens)
-  NODE_SOCKET_API(float, latitude_min)
-  NODE_SOCKET_API(float, latitude_max)
-  NODE_SOCKET_API(float, longitude_min)
-  NODE_SOCKET_API(float, longitude_max)
-
-  /* panorama stereo */
-  NODE_SOCKET_API(StereoEye, stereo_eye)
-  NODE_SOCKET_API(bool, use_spherical_stereo)
-  NODE_SOCKET_API(float, interocular_distance)
-  NODE_SOCKET_API(float, convergence_distance)
-  NODE_SOCKET_API(bool, use_pole_merge)
-  NODE_SOCKET_API(float, pole_merge_angle_from)
-  NODE_SOCKET_API(float, pole_merge_angle_to)
-
-  /* anamorphic lens bokeh */
-  NODE_SOCKET_API(float, aperture_ratio)
-
-  /* sensor */
-  NODE_SOCKET_API(float, sensorwidth)
-  NODE_SOCKET_API(float, sensorheight)
-
-  /* clipping */
-  NODE_SOCKET_API(float, nearclip)
-  NODE_SOCKET_API(float, farclip)
-
-  /* screen */
-  BoundBox2D viewplane;
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, left)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, right)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, bottom)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, top)
-
-  /* width and height change during preview, so we need these for calculating dice rates. */
-  NODE_SOCKET_API(int, full_width)
-  NODE_SOCKET_API(int, full_height)
-  /* controls how fast the dicing rate falls off for geometry out side of view */
-  NODE_SOCKET_API(float, offscreen_dicing_scale)
-
-  /* border */
-  BoundBox2D border;
-  NODE_SOCKET_API_STRUCT_MEMBER(float, border, left)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, border, right)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, border, bottom)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, border, top)
-
-  BoundBox2D viewport_camera_border;
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, left)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, right)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, bottom)
-  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, top)
-
-  /* transformation */
-  NODE_SOCKET_API(Transform, matrix)
-
-  /* motion */
-  NODE_SOCKET_API_ARRAY(array<Transform>, motion)
-  NODE_SOCKET_API(bool, use_perspective_motion)
-  NODE_SOCKET_API(float, fov_pre)
-  NODE_SOCKET_API(float, fov_post)
-
-  /* computed camera parameters */
-  ProjectionTransform screentoworld;
-  ProjectionTransform rastertoworld;
-  ProjectionTransform ndctoworld;
-  Transform cameratoworld;
-
-  ProjectionTransform worldtoraster;
-  ProjectionTransform worldtoscreen;
-  ProjectionTransform worldtondc;
-  Transform worldtocamera;
-
-  ProjectionTransform rastertocamera;
-  ProjectionTransform cameratoraster;
-
-  ProjectionTransform full_rastertocamera;
-
-  float3 dx;
-  float3 dy;
-
-  float3 full_dx;
-  float3 full_dy;
-
-  float3 frustum_right_normal;
-  float3 frustum_top_normal;
-  float3 frustum_left_normal;
-  float3 frustum_bottom_normal;
-
-  /* update */
-  bool need_device_update;
-  bool need_flags_update;
-  int previous_need_motion;
-
-  /* Kernel camera data, copied here for dicing. */
-  KernelCamera kernel_camera;
-  array<DecomposedTransform> kernel_camera_motion;
-
- private:
-  int width;
-  int height;
-
- public:
-  /* functions */
-  Camera();
-  ~Camera();
-
-  void compute_auto_viewplane();
-
-  void update(Scene *scene);
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
-  void device_update_volume(Device *device, DeviceScene *dscene, Scene *scene);
-  void device_free(Device *device, DeviceScene *dscene, Scene *scene);
-
-  /* Public utility functions. */
-  BoundBox viewplane_bounds_get();
-
-  /* Calculates the width of a pixel at point in world space. */
-  float world_to_raster_size(float3 P);
-
-  /* Motion blur. */
-  float motion_time(int step) const;
-  int motion_step(float time) const;
-  bool use_motion() const;
-
-  void set_screen_size(int width_, int height_);
-
- private:
-  /* Private utility functions. */
-  float3 transform_raster_to_world(float raster_x, float raster_y);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __CAMERA_H__ */
diff --git a/intern/cycles/render/colorspace.cpp b/intern/cycles/render/colorspace.cpp
deleted file mode 100644
index 3842f8e4726..00000000000
--- a/intern/cycles/render/colorspace.cpp
+++ /dev/null
@@ -1,398 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/colorspace.h"
-
-#include "util/util_color.h"
-#include "util/util_half.h"
-#include "util/util_image.h"
-#include "util/util_logging.h"
-#include "util/util_math.h"
-#include "util/util_thread.h"
-#include "util/util_vector.h"
-
-#ifdef WITH_OCIO
-#  include <OpenColorIO/OpenColorIO.h>
-namespace OCIO = OCIO_NAMESPACE;
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-/* Builtin colorspaces. */
-ustring u_colorspace_auto;
-ustring u_colorspace_raw("__builtin_raw");
-ustring u_colorspace_srgb("__builtin_srgb");
-
-/* Cached data. */
-#ifdef WITH_OCIO
-static thread_mutex cache_colorspaces_mutex;
-static thread_mutex cache_processors_mutex;
-static unordered_map<ustring, ustring, ustringHash> cached_colorspaces;
-static unordered_map<ustring, OCIO::ConstProcessorRcPtr, ustringHash> cached_processors;
-#endif
-
-ColorSpaceProcessor *ColorSpaceManager::get_processor(ustring colorspace)
-{
-#ifdef WITH_OCIO
-  /* Only use this for OpenColorIO color spaces, not the builtin ones. */
-  assert(colorspace != u_colorspace_srgb && colorspace != u_colorspace_auto);
-
-  if (colorspace == u_colorspace_raw) {
-    return NULL;
-  }
-
-  OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
-  if (!config) {
-    return NULL;
-  }
-
-  /* Cache processor until free_memory(), memory overhead is expected to be
-   * small and the processor is likely to be reused. */
-  thread_scoped_lock cache_processors_lock(cache_processors_mutex);
-  if (cached_processors.find(colorspace) == cached_processors.end()) {
-    try {
-      cached_processors[colorspace] = config->getProcessor(colorspace.c_str(), "scene_linear");
-    }
-    catch (OCIO::Exception &exception) {
-      cached_processors[colorspace] = OCIO::ConstProcessorRcPtr();
-      VLOG(1) << "Colorspace " << colorspace.c_str()
-              << " can't be converted to scene_linear: " << exception.what();
-    }
-  }
-
-  const OCIO::Processor *processor = cached_processors[colorspace].get();
-  return (ColorSpaceProcessor *)processor;
-#else
-  /* No OpenColorIO. */
-  (void)colorspace;
-  return NULL;
-#endif
-}
-
-bool ColorSpaceManager::colorspace_is_data(ustring colorspace)
-{
-  if (colorspace == u_colorspace_auto || colorspace == u_colorspace_raw ||
-      colorspace == u_colorspace_srgb) {
-    return false;
-  }
-
-#ifdef WITH_OCIO
-  OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
-  if (!config) {
-    return false;
-  }
-
-  try {
-    OCIO::ConstColorSpaceRcPtr space = config->getColorSpace(colorspace.c_str());
-    return space && space->isData();
-  }
-  catch (OCIO::Exception &) {
-    return false;
-  }
-#else
-  return false;
-#endif
-}
-
-ustring ColorSpaceManager::detect_known_colorspace(ustring colorspace,
-                                                   const char *file_format,
-                                                   bool is_float)
-{
-  if (colorspace == u_colorspace_auto) {
-    /* Auto detect sRGB or raw if none specified. */
-    if (is_float) {
-      bool srgb = (colorspace == "sRGB" || colorspace == "GammaCorrected" ||
-                   (colorspace.empty() &&
-                    (strcmp(file_format, "png") == 0 || strcmp(file_format, "tiff") == 0 ||
-                     strcmp(file_format, "dpx") == 0 || strcmp(file_format, "jpeg2000") == 0)));
-      return srgb ? u_colorspace_srgb : u_colorspace_raw;
-    }
-    else {
-      return u_colorspace_srgb;
-    }
-  }
-  else if (colorspace == u_colorspace_srgb || colorspace == u_colorspace_raw) {
-    /* Builtin colorspaces. */
-    return colorspace;
-  }
-  else {
-    /* Use OpenColorIO. */
-#ifdef WITH_OCIO
-    {
-      thread_scoped_lock cache_lock(cache_colorspaces_mutex);
-      /* Cached lookup. */
-      if (cached_colorspaces.find(colorspace) != cached_colorspaces.end()) {
-        return cached_colorspaces[colorspace];
-      }
-    }
-
-    /* Detect if it matches a simple builtin colorspace. */
-    bool is_scene_linear, is_srgb;
-    is_builtin_colorspace(colorspace, is_scene_linear, is_srgb);
-
-    thread_scoped_lock cache_lock(cache_colorspaces_mutex);
-    if (is_scene_linear) {
-      VLOG(1) << "Colorspace " << colorspace.string() << " is no-op";
-      cached_colorspaces[colorspace] = u_colorspace_raw;
-      return u_colorspace_raw;
-    }
-    else if (is_srgb) {
-      VLOG(1) << "Colorspace " << colorspace.string() << " is sRGB";
-      cached_colorspaces[colorspace] = u_colorspace_srgb;
-      return u_colorspace_srgb;
-    }
-
-    /* Verify if we can convert from the requested color space. */
-    if (!get_processor(colorspace)) {
-      OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
-      if (!config || !config->getColorSpace(colorspace.c_str())) {
-        VLOG(1) << "Colorspace " << colorspace.c_str() << " not found, using raw instead";
-      }
-      else {
-        VLOG(1) << "Colorspace " << colorspace.c_str()
-                << " can't be converted to scene_linear, using raw instead";
-      }
-      cached_colorspaces[colorspace] = u_colorspace_raw;
-      return u_colorspace_raw;
-    }
-
-    /* Convert to/from colorspace with OpenColorIO. */
-    VLOG(1) << "Colorspace " << colorspace.string() << " handled through OpenColorIO";
-    cached_colorspaces[colorspace] = colorspace;
-    return colorspace;
-#else
-    VLOG(1) << "Colorspace " << colorspace.c_str() << " not available, built without OpenColorIO";
-    return u_colorspace_raw;
-#endif
-  }
-}
-
-void ColorSpaceManager::is_builtin_colorspace(ustring colorspace,
-                                              bool &is_scene_linear,
-                                              bool &is_srgb)
-{
-#ifdef WITH_OCIO
-  const OCIO::Processor *processor = (const OCIO::Processor *)get_processor(colorspace);
-  if (!processor) {
-    is_scene_linear = false;
-    is_srgb = false;
-    return;
-  }
-
-  OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
-  is_scene_linear = true;
-  is_srgb = true;
-  for (int i = 0; i < 256; i++) {
-    float v = i / 255.0f;
-
-    float cR[3] = {v, 0, 0};
-    float cG[3] = {0, v, 0};
-    float cB[3] = {0, 0, v};
-    float cW[3] = {v, v, v};
-    device_processor->applyRGB(cR);
-    device_processor->applyRGB(cG);
-    device_processor->applyRGB(cB);
-    device_processor->applyRGB(cW);
-
-    /* Make sure that there is no channel crosstalk. */
-    if (fabsf(cR[1]) > 1e-5f || fabsf(cR[2]) > 1e-5f || fabsf(cG[0]) > 1e-5f ||
-        fabsf(cG[2]) > 1e-5f || fabsf(cB[0]) > 1e-5f || fabsf(cB[1]) > 1e-5f) {
-      is_scene_linear = false;
-      is_srgb = false;
-      break;
-    }
-    /* Make sure that the three primaries combine linearly. */
-    if (!compare_floats(cR[0], cW[0], 1e-6f, 64) || !compare_floats(cG[1], cW[1], 1e-6f, 64) ||
-        !compare_floats(cB[2], cW[2], 1e-6f, 64)) {
-      is_scene_linear = false;
-      is_srgb = false;
-      break;
-    }
-    /* Make sure that the three channels behave identically. */
-    if (!compare_floats(cW[0], cW[1], 1e-6f, 64) || !compare_floats(cW[1], cW[2], 1e-6f, 64)) {
-      is_scene_linear = false;
-      is_srgb = false;
-      break;
-    }
-
-    float out_v = average(make_float3(cW[0], cW[1], cW[2]));
-    if (!compare_floats(v, out_v, 1e-6f, 64)) {
-      is_scene_linear = false;
-    }
-    if (!compare_floats(color_srgb_to_linear(v), out_v, 1e-6f, 64)) {
-      is_srgb = false;
-    }
-  }
-#else
-  (void)colorspace;
-  is_scene_linear = false;
-  is_srgb = false;
-#endif
-}
-
-#ifdef WITH_OCIO
-
-template<typename T> inline float4 cast_to_float4(T *data)
-{
-  return make_float4(util_image_cast_to_float(data[0]),
-                     util_image_cast_to_float(data[1]),
-                     util_image_cast_to_float(data[2]),
-                     util_image_cast_to_float(data[3]));
-}
-
-template<typename T> inline void cast_from_float4(T *data, float4 value)
-{
-  data[0] = util_image_cast_from_float<T>(value.x);
-  data[1] = util_image_cast_from_float<T>(value.y);
-  data[2] = util_image_cast_from_float<T>(value.z);
-  data[3] = util_image_cast_from_float<T>(value.w);
-}
-
-/* Slower versions for other all data types, which needs to convert to float and back. */
-template<typename T, bool compress_as_srgb = false>
-inline void processor_apply_pixels(const OCIO::Processor *processor, T *pixels, size_t num_pixels)
-{
-  /* TODO: implement faster version for when we know the conversion
-   * is a simple matrix transform between linear spaces. In that case
-   * un-premultiply is not needed. */
-  OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
-
-  /* Process large images in chunks to keep temporary memory requirement down. */
-  const size_t chunk_size = std::min((size_t)(16 * 1024 * 1024), num_pixels);
-  vector<float4> float_pixels(chunk_size);
-
-  for (size_t j = 0; j < num_pixels; j += chunk_size) {
-    size_t width = std::min(chunk_size, num_pixels - j);
-
-    for (size_t i = 0; i < width; i++) {
-      float4 value = cast_to_float4(pixels + 4 * (j + i));
-
-      if (!(value.w <= 0.0f || value.w == 1.0f)) {
-        float inv_alpha = 1.0f / value.w;
-        value.x *= inv_alpha;
-        value.y *= inv_alpha;
-        value.z *= inv_alpha;
-      }
-
-      float_pixels[i] = value;
-    }
-
-    OCIO::PackedImageDesc desc((float *)float_pixels.data(), width, 1, 4);
-    device_processor->apply(desc);
-
-    for (size_t i = 0; i < width; i++) {
-      float4 value = float_pixels[i];
-
-      if (compress_as_srgb) {
-        value = color_linear_to_srgb_v4(value);
-      }
-
-      if (!(value.w <= 0.0f || value.w == 1.0f)) {
-        value.x *= value.w;
-        value.y *= value.w;
-        value.z *= value.w;
-      }
-
-      cast_from_float4(pixels + 4 * (j + i), value);
-    }
-  }
-}
-#endif
-
-template<typename T>
-void ColorSpaceManager::to_scene_linear(ustring colorspace,
-                                        T *pixels,
-                                        size_t num_pixels,
-                                        bool compress_as_srgb)
-{
-#ifdef WITH_OCIO
-  const OCIO::Processor *processor = (const OCIO::Processor *)get_processor(colorspace);
-
-  if (processor) {
-    if (compress_as_srgb) {
-      /* Compress output as sRGB. */
-      processor_apply_pixels<T, true>(processor, pixels, num_pixels);
-    }
-    else {
-      /* Write output as scene linear directly. */
-      processor_apply_pixels<T>(processor, pixels, num_pixels);
-    }
-  }
-#else
-  (void)colorspace;
-  (void)pixels;
-  (void)num_pixels;
-  (void)compress_as_srgb;
-#endif
-}
-
-void ColorSpaceManager::to_scene_linear(ColorSpaceProcessor *processor_,
-                                        float *pixel,
-                                        int channels)
-{
-#ifdef WITH_OCIO
-  const OCIO::Processor *processor = (const OCIO::Processor *)processor_;
-
-  if (processor) {
-    OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
-    if (channels == 3) {
-      device_processor->applyRGB(pixel);
-    }
-    else if (channels == 4) {
-      if (pixel[3] == 1.0f || pixel[3] == 0.0f) {
-        /* Fast path for RGBA. */
-        device_processor->applyRGB(pixel);
-      }
-      else {
-        /* Un-associate and associate alpha since color management should not
-         * be affected by transparency. */
-        float alpha = pixel[3];
-        float inv_alpha = 1.0f / alpha;
-
-        pixel[0] *= inv_alpha;
-        pixel[1] *= inv_alpha;
-        pixel[2] *= inv_alpha;
-
-        device_processor->applyRGB(pixel);
-
-        pixel[0] *= alpha;
-        pixel[1] *= alpha;
-        pixel[2] *= alpha;
-      }
-    }
-  }
-#else
-  (void)processor_;
-  (void)pixel;
-  (void)channels;
-#endif
-}
-
-void ColorSpaceManager::free_memory()
-{
-#ifdef WITH_OCIO
-  map_free_memory(cached_colorspaces);
-  map_free_memory(cached_processors);
-#endif
-}
-
-/* Template instantiations so we don't have to inline functions. */
-template void ColorSpaceManager::to_scene_linear(ustring, uchar *, size_t, bool);
-template void ColorSpaceManager::to_scene_linear(ustring, ushort *, size_t, bool);
-template void ColorSpaceManager::to_scene_linear(ustring, half *, size_t, bool);
-template void ColorSpaceManager::to_scene_linear(ustring, float *, size_t, bool);
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/colorspace.h b/intern/cycles/render/colorspace.h
deleted file mode 100644
index 51d0b121cc0..00000000000
--- a/intern/cycles/render/colorspace.h
+++ /dev/null
@@ -1,66 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __COLORSPACE_H__
-#define __COLORSPACE_H__
-
-#include "util/util_map.h"
-#include "util/util_param.h"
-
-CCL_NAMESPACE_BEGIN
-
-extern ustring u_colorspace_auto;
-extern ustring u_colorspace_raw;
-extern ustring u_colorspace_srgb;
-
-class ColorSpaceProcessor;
-
-class ColorSpaceManager {
- public:
-  /* Convert used specified colorspace to a colorspace that we are able to
-   * convert to and from. If the colorspace is u_colorspace_auto, we auto
-   * detect a colospace. */
-  static ustring detect_known_colorspace(ustring colorspace,
-                                         const char *file_format,
-                                         bool is_float);
-
-  /* Test if colorspace is for non-color data. */
-  static bool colorspace_is_data(ustring colorspace);
-
-  /* Convert pixels in the specified colorspace to scene linear color for
-   * rendering. Must be a colorspace returned from detect_known_colorspace. */
-  template<typename T>
-  static void to_scene_linear(ustring colorspace,
-                              T *pixels,
-                              size_t num_pixels,
-                              bool compress_as_srgb);
-
-  /* Efficiently convert pixels to scene linear colorspace at render time,
-   * for OSL where the image texture cache contains original pixels. The
-   * handle is valid for the lifetime of the application. */
-  static ColorSpaceProcessor *get_processor(ustring colorspace);
-  static void to_scene_linear(ColorSpaceProcessor *processor, float *pixel, int channels);
-
-  /* Clear memory when the application exits. Invalidates all processors. */
-  static void free_memory();
-
- private:
-  static void is_builtin_colorspace(ustring colorspace, bool &is_no_op, bool &is_srgb);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __COLORSPACE_H__ */
diff --git a/intern/cycles/render/constant_fold.cpp b/intern/cycles/render/constant_fold.cpp
deleted file mode 100644
index a4d40ae8183..00000000000
--- a/intern/cycles/render/constant_fold.cpp
+++ /dev/null
@@ -1,451 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/constant_fold.h"
-#include "render/graph.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-
-CCL_NAMESPACE_BEGIN
-
-ConstantFolder::ConstantFolder(ShaderGraph *graph,
-                               ShaderNode *node,
-                               ShaderOutput *output,
-                               Scene *scene)
-    : graph(graph), node(node), output(output), scene(scene)
-{
-}
-
-bool ConstantFolder::all_inputs_constant() const
-{
-  foreach (ShaderInput *input, node->inputs) {
-    if (input->link) {
-      return false;
-    }
-  }
-
-  return true;
-}
-
-void ConstantFolder::make_constant(float value) const
-{
-  VLOG(1) << "Folding " << node->name << "::" << output->name() << " to constant (" << value
-          << ").";
-
-  foreach (ShaderInput *sock, output->links) {
-    sock->set(value);
-    sock->constant_folded_in = true;
-  }
-
-  graph->disconnect(output);
-}
-
-void ConstantFolder::make_constant(float3 value) const
-{
-  VLOG(1) << "Folding " << node->name << "::" << output->name() << " to constant " << value << ".";
-
-  foreach (ShaderInput *sock, output->links) {
-    sock->set(value);
-    sock->constant_folded_in = true;
-  }
-
-  graph->disconnect(output);
-}
-
-void ConstantFolder::make_constant_clamp(float value, bool clamp) const
-{
-  make_constant(clamp ? saturate(value) : value);
-}
-
-void ConstantFolder::make_constant_clamp(float3 value, bool clamp) const
-{
-  if (clamp) {
-    value.x = saturate(value.x);
-    value.y = saturate(value.y);
-    value.z = saturate(value.z);
-  }
-
-  make_constant(value);
-}
-
-void ConstantFolder::make_zero() const
-{
-  if (output->type() == SocketType::FLOAT) {
-    make_constant(0.0f);
-  }
-  else if (SocketType::is_float3(output->type())) {
-    make_constant(zero_float3());
-  }
-  else {
-    assert(0);
-  }
-}
-
-void ConstantFolder::make_one() const
-{
-  if (output->type() == SocketType::FLOAT) {
-    make_constant(1.0f);
-  }
-  else if (SocketType::is_float3(output->type())) {
-    make_constant(one_float3());
-  }
-  else {
-    assert(0);
-  }
-}
-
-void ConstantFolder::bypass(ShaderOutput *new_output) const
-{
-  assert(new_output);
-
-  VLOG(1) << "Folding " << node->name << "::" << output->name() << " to socket "
-          << new_output->parent->name << "::" << new_output->name() << ".";
-
-  /* Remove all outgoing links from socket and connect them to new_output instead.
-   * The graph->relink method affects node inputs, so it's not safe to use in constant
-   * folding if the node has multiple outputs and will thus be folded multiple times. */
-  vector<ShaderInput *> outputs = output->links;
-
-  graph->disconnect(output);
-
-  foreach (ShaderInput *sock, outputs) {
-    graph->connect(new_output, sock);
-  }
-}
-
-void ConstantFolder::discard() const
-{
-  assert(output->type() == SocketType::CLOSURE);
-
-  VLOG(1) << "Discarding closure " << node->name << ".";
-
-  graph->disconnect(output);
-}
-
-void ConstantFolder::bypass_or_discard(ShaderInput *input) const
-{
-  assert(input->type() == SocketType::CLOSURE);
-
-  if (input->link) {
-    bypass(input->link);
-  }
-  else {
-    discard();
-  }
-}
-
-bool ConstantFolder::try_bypass_or_make_constant(ShaderInput *input, bool clamp) const
-{
-  if (input->type() != output->type()) {
-    return false;
-  }
-  else if (!input->link) {
-    if (input->type() == SocketType::FLOAT) {
-      make_constant_clamp(node->get_float(input->socket_type), clamp);
-      return true;
-    }
-    else if (SocketType::is_float3(input->type())) {
-      make_constant_clamp(node->get_float3(input->socket_type), clamp);
-      return true;
-    }
-  }
-  else if (!clamp) {
-    bypass(input->link);
-    return true;
-  }
-  else {
-    /* disconnect other inputs if we can't fully bypass due to clamp */
-    foreach (ShaderInput *other, node->inputs) {
-      if (other != input && other->link) {
-        graph->disconnect(other);
-      }
-    }
-  }
-
-  return false;
-}
-
-bool ConstantFolder::is_zero(ShaderInput *input) const
-{
-  if (!input->link) {
-    if (input->type() == SocketType::FLOAT) {
-      return node->get_float(input->socket_type) == 0.0f;
-    }
-    else if (SocketType::is_float3(input->type())) {
-      return node->get_float3(input->socket_type) == zero_float3();
-    }
-  }
-
-  return false;
-}
-
-bool ConstantFolder::is_one(ShaderInput *input) const
-{
-  if (!input->link) {
-    if (input->type() == SocketType::FLOAT) {
-      return node->get_float(input->socket_type) == 1.0f;
-    }
-    else if (SocketType::is_float3(input->type())) {
-      return node->get_float3(input->socket_type) == one_float3();
-    }
-  }
-
-  return false;
-}
-
-/* Specific nodes */
-
-void ConstantFolder::fold_mix(NodeMix type, bool clamp) const
-{
-  ShaderInput *fac_in = node->input("Fac");
-  ShaderInput *color1_in = node->input("Color1");
-  ShaderInput *color2_in = node->input("Color2");
-
-  float fac = saturate(node->get_float(fac_in->socket_type));
-  bool fac_is_zero = !fac_in->link && fac == 0.0f;
-  bool fac_is_one = !fac_in->link && fac == 1.0f;
-
-  /* remove no-op node when factor is 0.0 */
-  if (fac_is_zero) {
-    /* note that some of the modes will clamp out of bounds values even without use_clamp */
-    if (!(type == NODE_MIX_LIGHT || type == NODE_MIX_DODGE || type == NODE_MIX_BURN)) {
-      if (try_bypass_or_make_constant(color1_in, clamp)) {
-        return;
-      }
-    }
-  }
-
-  switch (type) {
-    case NODE_MIX_BLEND:
-      /* remove useless mix colors nodes */
-      if (color1_in->link && color2_in->link) {
-        if (color1_in->link == color2_in->link) {
-          try_bypass_or_make_constant(color1_in, clamp);
-          break;
-        }
-      }
-      else if (!color1_in->link && !color2_in->link) {
-        float3 color1 = node->get_float3(color1_in->socket_type);
-        float3 color2 = node->get_float3(color2_in->socket_type);
-        if (color1 == color2) {
-          try_bypass_or_make_constant(color1_in, clamp);
-          break;
-        }
-      }
-      /* remove no-op mix color node when factor is 1.0 */
-      if (fac_is_one) {
-        try_bypass_or_make_constant(color2_in, clamp);
-        break;
-      }
-      break;
-    case NODE_MIX_ADD:
-      /* 0 + X (fac 1) == X */
-      if (is_zero(color1_in) && fac_is_one) {
-        try_bypass_or_make_constant(color2_in, clamp);
-      }
-      /* X + 0 (fac ?) == X */
-      else if (is_zero(color2_in)) {
-        try_bypass_or_make_constant(color1_in, clamp);
-      }
-      break;
-    case NODE_MIX_SUB:
-      /* X - 0 (fac ?) == X */
-      if (is_zero(color2_in)) {
-        try_bypass_or_make_constant(color1_in, clamp);
-      }
-      /* X - X (fac 1) == 0 */
-      else if (color1_in->link && color1_in->link == color2_in->link && fac_is_one) {
-        make_zero();
-      }
-      break;
-    case NODE_MIX_MUL:
-      /* X * 1 (fac ?) == X, 1 * X (fac 1) == X */
-      if (is_one(color1_in) && fac_is_one) {
-        try_bypass_or_make_constant(color2_in, clamp);
-      }
-      else if (is_one(color2_in)) {
-        try_bypass_or_make_constant(color1_in, clamp);
-      }
-      /* 0 * ? (fac ?) == 0, ? * 0 (fac 1) == 0 */
-      else if (is_zero(color1_in)) {
-        make_zero();
-      }
-      else if (is_zero(color2_in) && fac_is_one) {
-        make_zero();
-      }
-      break;
-    case NODE_MIX_DIV:
-      /* X / 1 (fac ?) == X */
-      if (is_one(color2_in)) {
-        try_bypass_or_make_constant(color1_in, clamp);
-      }
-      /* 0 / ? (fac ?) == 0 */
-      else if (is_zero(color1_in)) {
-        make_zero();
-      }
-      break;
-    default:
-      break;
-  }
-}
-
-void ConstantFolder::fold_math(NodeMathType type) const
-{
-  ShaderInput *value1_in = node->input("Value1");
-  ShaderInput *value2_in = node->input("Value2");
-
-  switch (type) {
-    case NODE_MATH_ADD:
-      /* X + 0 == 0 + X == X */
-      if (is_zero(value1_in)) {
-        try_bypass_or_make_constant(value2_in);
-      }
-      else if (is_zero(value2_in)) {
-        try_bypass_or_make_constant(value1_in);
-      }
-      break;
-    case NODE_MATH_SUBTRACT:
-      /* X - 0 == X */
-      if (is_zero(value2_in)) {
-        try_bypass_or_make_constant(value1_in);
-      }
-      break;
-    case NODE_MATH_MULTIPLY:
-      /* X * 1 == 1 * X == X */
-      if (is_one(value1_in)) {
-        try_bypass_or_make_constant(value2_in);
-      }
-      else if (is_one(value2_in)) {
-        try_bypass_or_make_constant(value1_in);
-      }
-      /* X * 0 == 0 * X == 0 */
-      else if (is_zero(value1_in) || is_zero(value2_in)) {
-        make_zero();
-      }
-      break;
-    case NODE_MATH_DIVIDE:
-      /* X / 1 == X */
-      if (is_one(value2_in)) {
-        try_bypass_or_make_constant(value1_in);
-      }
-      /* 0 / X == 0 */
-      else if (is_zero(value1_in)) {
-        make_zero();
-      }
-      break;
-    case NODE_MATH_POWER:
-      /* 1 ^ X == X ^ 0 == 1 */
-      if (is_one(value1_in) || is_zero(value2_in)) {
-        make_one();
-      }
-      /* X ^ 1 == X */
-      else if (is_one(value2_in)) {
-        try_bypass_or_make_constant(value1_in);
-      }
-    default:
-      break;
-  }
-}
-
-void ConstantFolder::fold_vector_math(NodeVectorMathType type) const
-{
-  ShaderInput *vector1_in = node->input("Vector1");
-  ShaderInput *vector2_in = node->input("Vector2");
-  ShaderInput *scale_in = node->input("Scale");
-
-  switch (type) {
-    case NODE_VECTOR_MATH_ADD:
-      /* X + 0 == 0 + X == X */
-      if (is_zero(vector1_in)) {
-        try_bypass_or_make_constant(vector2_in);
-      }
-      else if (is_zero(vector2_in)) {
-        try_bypass_or_make_constant(vector1_in);
-      }
-      break;
-    case NODE_VECTOR_MATH_SUBTRACT:
-      /* X - 0 == X */
-      if (is_zero(vector2_in)) {
-        try_bypass_or_make_constant(vector1_in);
-      }
-      break;
-    case NODE_VECTOR_MATH_MULTIPLY:
-      /* X * 0 == 0 * X == 0 */
-      if (is_zero(vector1_in) || is_zero(vector2_in)) {
-        make_zero();
-      } /* X * 1 == 1 * X == X */
-      else if (is_one(vector1_in)) {
-        try_bypass_or_make_constant(vector2_in);
-      }
-      else if (is_one(vector2_in)) {
-        try_bypass_or_make_constant(vector1_in);
-      }
-      break;
-    case NODE_VECTOR_MATH_DIVIDE:
-      /* X / 0 == 0 / X == 0 */
-      if (is_zero(vector1_in) || is_zero(vector2_in)) {
-        make_zero();
-      } /* X / 1 == X */
-      else if (is_one(vector2_in)) {
-        try_bypass_or_make_constant(vector1_in);
-      }
-      break;
-    case NODE_VECTOR_MATH_DOT_PRODUCT:
-    case NODE_VECTOR_MATH_CROSS_PRODUCT:
-      /* X * 0 == 0 * X == 0 */
-      if (is_zero(vector1_in) || is_zero(vector2_in)) {
-        make_zero();
-      }
-      break;
-    case NODE_VECTOR_MATH_LENGTH:
-    case NODE_VECTOR_MATH_ABSOLUTE:
-      if (is_zero(vector1_in)) {
-        make_zero();
-      }
-      break;
-    case NODE_VECTOR_MATH_SCALE:
-      /* X * 0 == 0 * X == 0 */
-      if (is_zero(vector1_in) || is_zero(scale_in)) {
-        make_zero();
-      } /* X * 1 == X */
-      else if (is_one(scale_in)) {
-        try_bypass_or_make_constant(vector1_in);
-      }
-      break;
-    default:
-      break;
-  }
-}
-
-void ConstantFolder::fold_mapping(NodeMappingType type) const
-{
-  ShaderInput *vector_in = node->input("Vector");
-  ShaderInput *location_in = node->input("Location");
-  ShaderInput *rotation_in = node->input("Rotation");
-  ShaderInput *scale_in = node->input("Scale");
-
-  if (is_zero(scale_in)) {
-    make_zero();
-  }
-  else if ((is_zero(location_in) || type == NODE_MAPPING_TYPE_VECTOR ||
-            type == NODE_MAPPING_TYPE_NORMAL) &&
-           is_zero(rotation_in) && is_one(scale_in)) {
-    try_bypass_or_make_constant(vector_in);
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/constant_fold.h b/intern/cycles/render/constant_fold.h
deleted file mode 100644
index fec4123c361..00000000000
--- a/intern/cycles/render/constant_fold.h
+++ /dev/null
@@ -1,74 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __CONSTANT_FOLD_H__
-#define __CONSTANT_FOLD_H__
-
-#include "kernel/svm/svm_types.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Scene;
-class ShaderGraph;
-class ShaderInput;
-class ShaderNode;
-class ShaderOutput;
-
-class ConstantFolder {
- public:
-  ShaderGraph *const graph;
-  ShaderNode *const node;
-  ShaderOutput *const output;
-
-  Scene *scene;
-
-  ConstantFolder(ShaderGraph *graph, ShaderNode *node, ShaderOutput *output, Scene *scene);
-
-  bool all_inputs_constant() const;
-
-  /* Constant folding helpers */
-  void make_constant(float value) const;
-  void make_constant(float3 value) const;
-  void make_constant_clamp(float value, bool clamp) const;
-  void make_constant_clamp(float3 value, bool clamp) const;
-  void make_zero() const;
-  void make_one() const;
-
-  /* Bypass node, relinking to another output socket. */
-  void bypass(ShaderOutput *output) const;
-
-  /* For closure nodes, discard node entirely or bypass to one of its inputs. */
-  void discard() const;
-  void bypass_or_discard(ShaderInput *input) const;
-
-  /* Bypass or make constant, unless we can't due to clamp being true. */
-  bool try_bypass_or_make_constant(ShaderInput *input, bool clamp = false) const;
-
-  /* Test if shader inputs of the current nodes have fixed values. */
-  bool is_zero(ShaderInput *input) const;
-  bool is_one(ShaderInput *input) const;
-
-  /* Specific nodes. */
-  void fold_mix(NodeMix type, bool clamp) const;
-  void fold_math(NodeMathType type) const;
-  void fold_vector_math(NodeVectorMathType type) const;
-  void fold_mapping(NodeMappingType type) const;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __CONSTANT_FOLD_H__ */
diff --git a/intern/cycles/render/curves.cpp b/intern/cycles/render/curves.cpp
deleted file mode 100644
index db48d8b6430..00000000000
--- a/intern/cycles/render/curves.cpp
+++ /dev/null
@@ -1,79 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/curves.h"
-#include "device/device.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
-
-#include "util/util_foreach.h"
-#include "util/util_map.h"
-#include "util/util_progress.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Curve functions */
-
-void curvebounds(float *lower, float *upper, float3 *p, int dim)
-{
-  float *p0 = &p[0].x;
-  float *p1 = &p[1].x;
-  float *p2 = &p[2].x;
-  float *p3 = &p[3].x;
-
-  /* Catmull-Rom weights. */
-  float curve_coef[4];
-  curve_coef[0] = p1[dim];
-  curve_coef[1] = 0.5f * (-p0[dim] + p2[dim]);
-  curve_coef[2] = 0.5f * (2 * p0[dim] - 5 * p1[dim] + 4 * p2[dim] - p3[dim]);
-  curve_coef[3] = 0.5f * (-p0[dim] + 3 * p1[dim] - 3 * p2[dim] + p3[dim]);
-
-  float discroot = curve_coef[2] * curve_coef[2] - 3 * curve_coef[3] * curve_coef[1];
-  float ta = -1.0f;
-  float tb = -1.0f;
-
-  if (discroot >= 0) {
-    discroot = sqrtf(discroot);
-    ta = (-curve_coef[2] - discroot) / (3 * curve_coef[3]);
-    tb = (-curve_coef[2] + discroot) / (3 * curve_coef[3]);
-    ta = (ta > 1.0f || ta < 0.0f) ? -1.0f : ta;
-    tb = (tb > 1.0f || tb < 0.0f) ? -1.0f : tb;
-  }
-
-  *upper = max(p1[dim], p2[dim]);
-  *lower = min(p1[dim], p2[dim]);
-
-  float exa = p1[dim];
-  float exb = p2[dim];
-
-  if (ta >= 0.0f) {
-    float t2 = ta * ta;
-    float t3 = t2 * ta;
-    exa = curve_coef[3] * t3 + curve_coef[2] * t2 + curve_coef[1] * ta + curve_coef[0];
-  }
-  if (tb >= 0.0f) {
-    float t2 = tb * tb;
-    float t3 = t2 * tb;
-    exb = curve_coef[3] * t3 + curve_coef[2] * t2 + curve_coef[1] * tb + curve_coef[0];
-  }
-
-  *upper = max(*upper, max(exa, exb));
-  *lower = min(*lower, min(exa, exb));
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/curves.h b/intern/cycles/render/curves.h
deleted file mode 100644
index c52fcb9c882..00000000000
--- a/intern/cycles/render/curves.h
+++ /dev/null
@@ -1,61 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __CURVES_H__
-#define __CURVES_H__
-
-#include "util/util_array.h"
-#include "util/util_types.h"
-
-#include "render/hair.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Progress;
-class Scene;
-
-void curvebounds(float *lower, float *upper, float3 *p, int dim);
-
-class ParticleCurveData {
-
- public:
-  ParticleCurveData();
-  ~ParticleCurveData();
-
-  array<int> psys_firstcurve;
-  array<int> psys_curvenum;
-  array<int> psys_shader;
-
-  array<float> psys_rootradius;
-  array<float> psys_tipradius;
-  array<float> psys_shape;
-  array<bool> psys_closetip;
-
-  array<int> curve_firstkey;
-  array<int> curve_keynum;
-  array<float> curve_length;
-  array<float2> curve_uv;
-  array<float4> curve_vcol;
-
-  array<float3> curvekey_co;
-  array<float> curvekey_time;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __CURVES_H__ */
diff --git a/intern/cycles/render/denoising.cpp b/intern/cycles/render/denoising.cpp
deleted file mode 100644
index bcf8d3fa204..00000000000
--- a/intern/cycles/render/denoising.cpp
+++ /dev/null
@@ -1,934 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/denoising.h"
-
-#if 0
-
-#  include "kernel/filter/filter_defines.h"
-
-#  include "util/util_foreach.h"
-#  include "util/util_map.h"
-#  include "util/util_system.h"
-#  include "util/util_task.h"
-#  include "util/util_time.h"
-
-#  include <OpenImageIO/filesystem.h>
-
-CCL_NAMESPACE_BEGIN
-
-/* Utility Functions */
-
-static void print_progress(int num, int total, int frame, int num_frames)
-{
-  const char *label = "Denoise Frame ";
-  int cols = system_console_width();
-
-  cols -= strlen(label);
-
-  int len = 1;
-  for (int x = total; x > 9; x /= 10) {
-    len++;
-  }
-
-  int bars = cols - 2 * len - 6;
-
-  printf("\r%s", label);
-
-  if (num_frames > 1) {
-    int frame_len = 1;
-    for (int x = num_frames - 1; x > 9; x /= 10) {
-      frame_len++;
-    }
-    bars -= frame_len + 2;
-    printf("%*d ", frame_len, frame);
-  }
-
-  int v = int(float(num) * bars / total);
-  printf("[");
-  for (int i = 0; i < v; i++) {
-    printf("=");
-  }
-  if (v < bars) {
-    printf(">");
-  }
-  for (int i = v + 1; i < bars; i++) {
-    printf(" ");
-  }
-  printf(string_printf("] %%%dd / %d", len, total).c_str(), num);
-  fflush(stdout);
-}
-
-/* Splits in at its last dot, setting suffix to the part after the dot and in to the part before
- * it. Returns whether a dot was found. */
-static bool split_last_dot(string &in, string &suffix)
-{
-  size_t pos = in.rfind(".");
-  if (pos == string::npos) {
-    return false;
-  }
-  suffix = in.substr(pos + 1);
-  in = in.substr(0, pos);
-  return true;
-}
-
-/* Separate channel names as generated by Blender.
- * If views is true:
- *   Inputs are expected in the form RenderLayer.Pass.View.Channel, sets renderlayer to
- *   "RenderLayer.View" Otherwise: Inputs are expected in the form RenderLayer.Pass.Channel */
-static bool parse_channel_name(
-    string name, string &renderlayer, string &pass, string &channel, bool multiview_channels)
-{
-  if (!split_last_dot(name, channel)) {
-    return false;
-  }
-  string view;
-  if (multiview_channels && !split_last_dot(name, view)) {
-    return false;
-  }
-  if (!split_last_dot(name, pass)) {
-    return false;
-  }
-  renderlayer = name;
-
-  if (multiview_channels) {
-    renderlayer += "." + view;
-  }
-
-  return true;
-}
-
-/* Channel Mapping */
-
-struct ChannelMapping {
-  int channel;
-  string name;
-};
-
-static void fill_mapping(vector<ChannelMapping> &map, int pos, string name, string channels)
-{
-  for (const char *chan = channels.c_str(); *chan; chan++) {
-    map.push_back({pos++, name + "." + *chan});
-  }
-}
-
-static const int INPUT_NUM_CHANNELS = 15;
-static const int INPUT_DENOISING_DEPTH = 0;
-static const int INPUT_DENOISING_NORMAL = 1;
-static const int INPUT_DENOISING_SHADOWING = 4;
-static const int INPUT_DENOISING_ALBEDO = 5;
-static const int INPUT_NOISY_IMAGE = 8;
-static const int INPUT_DENOISING_VARIANCE = 11;
-static const int INPUT_DENOISING_INTENSITY = 14;
-static vector<ChannelMapping> input_channels()
-{
-  vector<ChannelMapping> map;
-  fill_mapping(map, INPUT_DENOISING_DEPTH, "Denoising Depth", "Z");
-  fill_mapping(map, INPUT_DENOISING_NORMAL, "Denoising Normal", "XYZ");
-  fill_mapping(map, INPUT_DENOISING_SHADOWING, "Denoising Shadowing", "X");
-  fill_mapping(map, INPUT_DENOISING_ALBEDO, "Denoising Albedo", "RGB");
-  fill_mapping(map, INPUT_NOISY_IMAGE, "Noisy Image", "RGB");
-  fill_mapping(map, INPUT_DENOISING_VARIANCE, "Denoising Variance", "RGB");
-  fill_mapping(map, INPUT_DENOISING_INTENSITY, "Denoising Intensity", "X");
-  return map;
-}
-
-static const int OUTPUT_NUM_CHANNELS = 3;
-static vector<ChannelMapping> output_channels()
-{
-  vector<ChannelMapping> map;
-  fill_mapping(map, 0, "Combined", "RGB");
-  return map;
-}
-
-/* Renderlayer Handling */
-
-bool DenoiseImageLayer::detect_denoising_channels()
-{
-  /* Map device input to image channels. */
-  input_to_image_channel.clear();
-  input_to_image_channel.resize(INPUT_NUM_CHANNELS, -1);
-
-  foreach (const ChannelMapping &mapping, input_channels()) {
-    vector<string>::iterator i = find(channels.begin(), channels.end(), mapping.name);
-    if (i == channels.end()) {
-      return false;
-    }
-
-    size_t input_channel = mapping.channel;
-    size_t layer_channel = i - channels.begin();
-    input_to_image_channel[input_channel] = layer_to_image_channel[layer_channel];
-  }
-
-  /* Map device output to image channels. */
-  output_to_image_channel.clear();
-  output_to_image_channel.resize(OUTPUT_NUM_CHANNELS, -1);
-
-  foreach (const ChannelMapping &mapping, output_channels()) {
-    vector<string>::iterator i = find(channels.begin(), channels.end(), mapping.name);
-    if (i == channels.end()) {
-      return false;
-    }
-
-    size_t output_channel = mapping.channel;
-    size_t layer_channel = i - channels.begin();
-    output_to_image_channel[output_channel] = layer_to_image_channel[layer_channel];
-  }
-
-  /* Check that all buffer channels are correctly set. */
-  for (int i = 0; i < INPUT_NUM_CHANNELS; i++) {
-    assert(input_to_image_channel[i] >= 0);
-  }
-  for (int i = 0; i < OUTPUT_NUM_CHANNELS; i++) {
-    assert(output_to_image_channel[i] >= 0);
-  }
-
-  return true;
-}
-
-bool DenoiseImageLayer::match_channels(int neighbor,
-                                       const std::vector<string> &channelnames,
-                                       const std::vector<string> &neighbor_channelnames)
-{
-  neighbor_input_to_image_channel.resize(neighbor + 1);
-  vector<int> &mapping = neighbor_input_to_image_channel[neighbor];
-
-  assert(mapping.size() == 0);
-  mapping.resize(input_to_image_channel.size(), -1);
-
-  for (int i = 0; i < input_to_image_channel.size(); i++) {
-    const string &channel = channelnames[input_to_image_channel[i]];
-    std::vector<string>::const_iterator frame_channel = find(
-        neighbor_channelnames.begin(), neighbor_channelnames.end(), channel);
-
-    if (frame_channel == neighbor_channelnames.end()) {
-      return false;
-    }
-
-    mapping[i] = frame_channel - neighbor_channelnames.begin();
-  }
-
-  return true;
-}
-
-/* Denoise Task */
-
-DenoiseTask::DenoiseTask(Device *device,
-                         DenoiserPipeline *denoiser,
-                         int frame,
-                         const vector<int> &neighbor_frames)
-    : denoiser(denoiser),
-      device(device),
-      frame(frame),
-      neighbor_frames(neighbor_frames),
-      current_layer(0),
-      input_pixels(device, "filter input buffer", MEM_READ_ONLY),
-      num_tiles(0)
-{
-  image.samples = denoiser->samples_override;
-}
-
-DenoiseTask::~DenoiseTask()
-{
-  free();
-}
-
-/* Device callbacks */
-
-bool DenoiseTask::acquire_tile(Device *device, Device *tile_device, RenderTile &tile)
-{
-  thread_scoped_lock tile_lock(tiles_mutex);
-
-  if (tiles.empty()) {
-    return false;
-  }
-
-  tile = tiles.front();
-  tiles.pop_front();
-
-  device->map_tile(tile_device, tile);
-
-  print_progress(num_tiles - tiles.size(), num_tiles, frame, denoiser->num_frames);
-
-  return true;
-}
-
-/* Mapping tiles is required for regular rendering since each tile has its separate memory
- * which may be allocated on a different device.
- * For standalone denoising, there is a single memory that is present on all devices, so the only
- * thing that needs to be done here is to specify the surrounding tile geometry.
- *
- * However, since there is only one large memory, the denoised result has to be written to
- * a different buffer to avoid having to copy an entire horizontal slice of the image. */
-void DenoiseTask::map_neighboring_tiles(RenderTileNeighbors &neighbors, Device *tile_device)
-{
-  RenderTile &center_tile = neighbors.tiles[RenderTileNeighbors::CENTER];
-  RenderTile &target_tile = neighbors.target;
-
-  /* Fill tile information. */
-  for (int i = 0; i < RenderTileNeighbors::SIZE; i++) {
-    if (i == RenderTileNeighbors::CENTER) {
-      continue;
-    }
-
-    RenderTile &tile = neighbors.tiles[i];
-    int dx = (i % 3) - 1;
-    int dy = (i / 3) - 1;
-    tile.x = clamp(center_tile.x + dx * denoiser->tile_size.x, 0, image.width);
-    tile.w = clamp(center_tile.x + (dx + 1) * denoiser->tile_size.x, 0, image.width) - tile.x;
-    tile.y = clamp(center_tile.y + dy * denoiser->tile_size.y, 0, image.height);
-    tile.h = clamp(center_tile.y + (dy + 1) * denoiser->tile_size.y, 0, image.height) - tile.y;
-
-    tile.buffer = center_tile.buffer;
-    tile.offset = center_tile.offset;
-    tile.stride = image.width;
-  }
-
-  /* Allocate output buffer. */
-  device_vector<float> *output_mem = new device_vector<float>(
-      tile_device, "denoising_output", MEM_READ_WRITE);
-  output_mem->alloc(OUTPUT_NUM_CHANNELS * center_tile.w * center_tile.h);
-
-  /* Fill output buffer with noisy image, assumed by kernel_filter_finalize
-   * when skipping denoising of some pixels. */
-  float *result = output_mem->data();
-  float *in = &image.pixels[image.num_channels * (center_tile.y * image.width + center_tile.x)];
-
-  const DenoiseImageLayer &layer = image.layers[current_layer];
-  const int *input_to_image_channel = layer.input_to_image_channel.data();
-
-  for (int y = 0; y < center_tile.h; y++) {
-    for (int x = 0; x < center_tile.w; x++, result += OUTPUT_NUM_CHANNELS) {
-      for (int i = 0; i < OUTPUT_NUM_CHANNELS; i++) {
-        result[i] = in[image.num_channels * x + input_to_image_channel[INPUT_NOISY_IMAGE + i]];
-      }
-    }
-    in += image.num_channels * image.width;
-  }
-
-  output_mem->copy_to_device();
-
-  /* Fill output tile info. */
-  target_tile = center_tile;
-  target_tile.buffer = output_mem->device_pointer;
-  target_tile.stride = target_tile.w;
-  target_tile.offset -= target_tile.x + target_tile.y * target_tile.stride;
-
-  thread_scoped_lock output_lock(output_mutex);
-  assert(output_pixels.count(center_tile.tile_index) == 0);
-  output_pixels[target_tile.tile_index] = output_mem;
-}
-
-void DenoiseTask::unmap_neighboring_tiles(RenderTileNeighbors &neighbors)
-{
-  RenderTile &center_tile = neighbors.tiles[RenderTileNeighbors::CENTER];
-  RenderTile &target_tile = neighbors.target;
-
-  thread_scoped_lock output_lock(output_mutex);
-  assert(output_pixels.count(center_tile.tile_index) == 1);
-  device_vector<float> *output_mem = output_pixels[target_tile.tile_index];
-  output_pixels.erase(center_tile.tile_index);
-  output_lock.unlock();
-
-  /* Copy denoised pixels from device. */
-  output_mem->copy_from_device(0, OUTPUT_NUM_CHANNELS * target_tile.w, target_tile.h);
-
-  float *result = output_mem->data();
-  float *out = &image.pixels[image.num_channels * (target_tile.y * image.width + target_tile.x)];
-
-  const DenoiseImageLayer &layer = image.layers[current_layer];
-  const int *output_to_image_channel = layer.output_to_image_channel.data();
-
-  for (int y = 0; y < target_tile.h; y++) {
-    for (int x = 0; x < target_tile.w; x++, result += OUTPUT_NUM_CHANNELS) {
-      for (int i = 0; i < OUTPUT_NUM_CHANNELS; i++) {
-        out[image.num_channels * x + output_to_image_channel[i]] = result[i];
-      }
-    }
-    out += image.num_channels * image.width;
-  }
-
-  /* Free device buffer. */
-  output_mem->free();
-  delete output_mem;
-}
-
-void DenoiseTask::release_tile()
-{
-}
-
-bool DenoiseTask::get_cancel()
-{
-  return false;
-}
-
-void DenoiseTask::create_task(DeviceTask &task)
-{
-  /* Callback functions. */
-  task.acquire_tile = function_bind(&DenoiseTask::acquire_tile, this, device, _1, _2);
-  task.map_neighbor_tiles = function_bind(&DenoiseTask::map_neighboring_tiles, this, _1, _2);
-  task.unmap_neighbor_tiles = function_bind(&DenoiseTask::unmap_neighboring_tiles, this, _1);
-  task.release_tile = function_bind(&DenoiseTask::release_tile, this);
-  task.get_cancel = function_bind(&DenoiseTask::get_cancel, this);
-
-  /* Denoising parameters. */
-  task.denoising = denoiser->params;
-  task.denoising.type = DENOISER_NLM;
-  task.denoising.use = true;
-  task.denoising_from_render = false;
-
-  task.denoising_frames.resize(neighbor_frames.size());
-  for (int i = 0; i < neighbor_frames.size(); i++) {
-    task.denoising_frames[i] = neighbor_frames[i] - frame;
-  }
-
-  /* Buffer parameters. */
-  task.pass_stride = INPUT_NUM_CHANNELS;
-  task.target_pass_stride = OUTPUT_NUM_CHANNELS;
-  task.pass_denoising_data = 0;
-  task.pass_denoising_clean = -1;
-  task.frame_stride = image.width * image.height * INPUT_NUM_CHANNELS;
-
-  /* Create tiles. */
-  thread_scoped_lock tile_lock(tiles_mutex);
-  thread_scoped_lock output_lock(output_mutex);
-
-  tiles.clear();
-  assert(output_pixels.empty());
-  output_pixels.clear();
-
-  int tiles_x = divide_up(image.width, denoiser->tile_size.x);
-  int tiles_y = divide_up(image.height, denoiser->tile_size.y);
-
-  for (int ty = 0; ty < tiles_y; ty++) {
-    for (int tx = 0; tx < tiles_x; tx++) {
-      RenderTile tile;
-      tile.x = tx * denoiser->tile_size.x;
-      tile.y = ty * denoiser->tile_size.y;
-      tile.w = min(image.width - tile.x, denoiser->tile_size.x);
-      tile.h = min(image.height - tile.y, denoiser->tile_size.y);
-      tile.start_sample = 0;
-      tile.num_samples = image.layers[current_layer].samples;
-      tile.sample = 0;
-      tile.offset = 0;
-      tile.stride = image.width;
-      tile.tile_index = ty * tiles_x + tx;
-      tile.task = RenderTile::DENOISE;
-      tile.buffers = NULL;
-      tile.buffer = input_pixels.device_pointer;
-      tiles.push_back(tile);
-    }
-  }
-
-  num_tiles = tiles.size();
-}
-
-/* Denoiser Operations */
-
-bool DenoiseTask::load_input_pixels(int layer)
-{
-  int w = image.width;
-  int h = image.height;
-  int num_pixels = image.width * image.height;
-  int frame_stride = num_pixels * INPUT_NUM_CHANNELS;
-
-  /* Load center image */
-  DenoiseImageLayer &image_layer = image.layers[layer];
-
-  float *buffer_data = input_pixels.data();
-  image.read_pixels(image_layer, buffer_data);
-  buffer_data += frame_stride;
-
-  /* Load neighbor images */
-  for (int i = 0; i < image.in_neighbors.size(); i++) {
-    if (!image.read_neighbor_pixels(i, image_layer, buffer_data)) {
-      error = "Failed to read neighbor frame pixels";
-      return false;
-    }
-    buffer_data += frame_stride;
-  }
-
-  /* Preprocess */
-  buffer_data = input_pixels.data();
-  for (int neighbor = 0; neighbor < image.in_neighbors.size() + 1; neighbor++) {
-    /* Clamp */
-    if (denoiser->params.clamp_input) {
-      for (int i = 0; i < num_pixels * INPUT_NUM_CHANNELS; i++) {
-        buffer_data[i] = clamp(buffer_data[i], -1e8f, 1e8f);
-      }
-    }
-
-    /* Box blur */
-    int r = 5 * denoiser->params.radius;
-    float *data = buffer_data + 14;
-    array<float> temp(num_pixels);
-
-    for (int y = 0; y < h; y++) {
-      for (int x = 0; x < w; x++) {
-        int n = 0;
-        float sum = 0.0f;
-        for (int dx = max(x - r, 0); dx < min(x + r + 1, w); dx++, n++) {
-          sum += data[INPUT_NUM_CHANNELS * (y * w + dx)];
-        }
-        temp[y * w + x] = sum / n;
-      }
-    }
-
-    for (int y = 0; y < h; y++) {
-      for (int x = 0; x < w; x++) {
-        int n = 0;
-        float sum = 0.0f;
-
-        for (int dy = max(y - r, 0); dy < min(y + r + 1, h); dy++, n++) {
-          sum += temp[dy * w + x];
-        }
-
-        data[INPUT_NUM_CHANNELS * (y * w + x)] = sum / n;
-      }
-    }
-
-    /* Highlight compression */
-    data = buffer_data + 8;
-    for (int y = 0; y < h; y++) {
-      for (int x = 0; x < w; x++) {
-        int idx = INPUT_NUM_CHANNELS * (y * w + x);
-        float3 color = make_float3(data[idx], data[idx + 1], data[idx + 2]);
-        color = color_highlight_compress(color, NULL);
-        data[idx] = color.x;
-        data[idx + 1] = color.y;
-        data[idx + 2] = color.z;
-      }
-    }
-
-    buffer_data += frame_stride;
-  }
-
-  /* Copy to device */
-  input_pixels.copy_to_device();
-
-  return true;
-}
-
-/* Task stages */
-
-bool DenoiseTask::load()
-{
-  string center_filepath = denoiser->input[frame];
-  if (!image.load(center_filepath, error)) {
-    return false;
-  }
-
-  if (!image.load_neighbors(denoiser->input, neighbor_frames, error)) {
-    return false;
-  }
-
-  if (image.layers.empty()) {
-    error = "No image layers found to denoise in " + center_filepath;
-    return false;
-  }
-
-  /* Allocate device buffer. */
-  int num_frames = image.in_neighbors.size() + 1;
-  input_pixels.alloc(image.width * INPUT_NUM_CHANNELS, image.height * num_frames);
-  input_pixels.zero_to_device();
-
-  /* Read pixels for first layer. */
-  current_layer = 0;
-  if (!load_input_pixels(current_layer)) {
-    return false;
-  }
-
-  return true;
-}
-
-bool DenoiseTask::exec()
-{
-  for (current_layer = 0; current_layer < image.layers.size(); current_layer++) {
-    /* Read pixels for secondary layers, first was already loaded. */
-    if (current_layer > 0) {
-      if (!load_input_pixels(current_layer)) {
-        return false;
-      }
-    }
-
-    /* Run task on device. */
-    DeviceTask task(DeviceTask::RENDER);
-    create_task(task);
-    device->task_add(task);
-    device->task_wait();
-
-    printf("\n");
-  }
-
-  return true;
-}
-
-bool DenoiseTask::save()
-{
-  bool ok = image.save_output(denoiser->output[frame], error);
-  free();
-  return ok;
-}
-
-void DenoiseTask::free()
-{
-  image.free();
-  input_pixels.free();
-  assert(output_pixels.empty());
-}
-
-/* Denoise Image Storage */
-
-DenoiseImage::DenoiseImage()
-{
-  width = 0;
-  height = 0;
-  num_channels = 0;
-  samples = 0;
-}
-
-DenoiseImage::~DenoiseImage()
-{
-  free();
-}
-
-void DenoiseImage::close_input()
-{
-  in_neighbors.clear();
-}
-
-void DenoiseImage::free()
-{
-  close_input();
-  pixels.clear();
-}
-
-bool DenoiseImage::parse_channels(const ImageSpec &in_spec, string &error)
-{
-  const std::vector<string> &channels = in_spec.channelnames;
-  const ParamValue *multiview = in_spec.find_attribute("multiView");
-  const bool multiview_channels = (multiview && multiview->type().basetype == TypeDesc::STRING &&
-                                   multiview->type().arraylen >= 2);
-
-  layers.clear();
-
-  /* Loop over all the channels in the file, parse their name and sort them
-   * by RenderLayer.
-   * Channels that can't be parsed are directly passed through to the output. */
-  map<string, DenoiseImageLayer> file_layers;
-  for (int i = 0; i < channels.size(); i++) {
-    string layer, pass, channel;
-    if (parse_channel_name(channels[i], layer, pass, channel, multiview_channels)) {
-      file_layers[layer].channels.push_back(pass + "." + channel);
-      file_layers[layer].layer_to_image_channel.push_back(i);
-    }
-  }
-
-  /* Loop over all detected RenderLayers, check whether they contain a full set of input channels.
-   * Any channels that won't be processed internally are also passed through. */
-  for (map<string, DenoiseImageLayer>::iterator i = file_layers.begin(); i != file_layers.end();
-       ++i) {
-    const string &name = i->first;
-    DenoiseImageLayer &layer = i->second;
-
-    /* Check for full pass set. */
-    if (!layer.detect_denoising_channels()) {
-      continue;
-    }
-
-    layer.name = name;
-    layer.samples = samples;
-
-    /* If the sample value isn't set yet, check if there is a layer-specific one in the input file.
-     */
-    if (layer.samples < 1) {
-      string sample_string = in_spec.get_string_attribute("cycles." + name + ".samples", "");
-      if (sample_string != "") {
-        if (!sscanf(sample_string.c_str(), "%d", &layer.samples)) {
-          error = "Failed to parse samples metadata: " + sample_string;
-          return false;
-        }
-      }
-    }
-
-    if (layer.samples < 1) {
-      error = string_printf(
-          "No sample number specified in the file for layer %s or on the command line",
-          name.c_str());
-      return false;
-    }
-
-    layers.push_back(layer);
-  }
-
-  return true;
-}
-
-void DenoiseImage::read_pixels(const DenoiseImageLayer &layer, float *input_pixels)
-{
-  /* Pixels from center file have already been loaded into pixels.
-   * We copy a subset into the device input buffer with channels reshuffled. */
-  const int *input_to_image_channel = layer.input_to_image_channel.data();
-
-  for (int i = 0; i < width * height; i++) {
-    for (int j = 0; j < INPUT_NUM_CHANNELS; j++) {
-      int image_channel = input_to_image_channel[j];
-      input_pixels[i * INPUT_NUM_CHANNELS + j] =
-          pixels[((size_t)i) * num_channels + image_channel];
-    }
-  }
-}
-
-bool DenoiseImage::read_neighbor_pixels(int neighbor,
-                                        const DenoiseImageLayer &layer,
-                                        float *input_pixels)
-{
-  /* Load pixels from neighboring frames, and copy them into device buffer
-   * with channels reshuffled. */
-  size_t num_pixels = (size_t)width * (size_t)height;
-  array<float> neighbor_pixels(num_pixels * num_channels);
-  if (!in_neighbors[neighbor]->read_image(TypeDesc::FLOAT, neighbor_pixels.data())) {
-    return false;
-  }
-
-  const int *input_to_image_channel = layer.neighbor_input_to_image_channel[neighbor].data();
-
-  for (int i = 0; i < width * height; i++) {
-    for (int j = 0; j < INPUT_NUM_CHANNELS; j++) {
-      int image_channel = input_to_image_channel[j];
-      input_pixels[i * INPUT_NUM_CHANNELS + j] =
-          neighbor_pixels[((size_t)i) * num_channels + image_channel];
-    }
-  }
-
-  return true;
-}
-
-bool DenoiseImage::load(const string &in_filepath, string &error)
-{
-  if (!Filesystem::is_regular(in_filepath)) {
-    error = "Couldn't find file: " + in_filepath;
-    return false;
-  }
-
-  unique_ptr<ImageInput> in(ImageInput::open(in_filepath));
-  if (!in) {
-    error = "Couldn't open file: " + in_filepath;
-    return false;
-  }
-
-  in_spec = in->spec();
-  width = in_spec.width;
-  height = in_spec.height;
-  num_channels = in_spec.nchannels;
-
-  if (!parse_channels(in_spec, error)) {
-    return false;
-  }
-
-  if (layers.size() == 0) {
-    error = "Could not find a render layer containing denoising info";
-    return false;
-  }
-
-  size_t num_pixels = (size_t)width * (size_t)height;
-  pixels.resize(num_pixels * num_channels);
-
-  /* Read all channels into buffer. Reading all channels at once is faster
-   * than individually due to interleaved EXR channel storage. */
-  if (!in->read_image(TypeDesc::FLOAT, pixels.data())) {
-    error = "Failed to read image: " + in_filepath;
-    return false;
-  }
-
-  return true;
-}
-
-bool DenoiseImage::load_neighbors(const vector<string> &filepaths,
-                                  const vector<int> &frames,
-                                  string &error)
-{
-  if (frames.size() > DENOISE_MAX_FRAMES - 1) {
-    error = string_printf("Maximum number of neighbors (%d) exceeded\n", DENOISE_MAX_FRAMES - 1);
-    return false;
-  }
-
-  for (int neighbor = 0; neighbor < frames.size(); neighbor++) {
-    int frame = frames[neighbor];
-    const string &filepath = filepaths[frame];
-
-    if (!Filesystem::is_regular(filepath)) {
-      error = "Couldn't find neighbor frame: " + filepath;
-      return false;
-    }
-
-    unique_ptr<ImageInput> in_neighbor(ImageInput::open(filepath));
-    if (!in_neighbor) {
-      error = "Couldn't open neighbor frame: " + filepath;
-      return false;
-    }
-
-    const ImageSpec &neighbor_spec = in_neighbor->spec();
-    if (neighbor_spec.width != width || neighbor_spec.height != height) {
-      error = "Neighbor frame has different dimensions: " + filepath;
-      return false;
-    }
-
-    foreach (DenoiseImageLayer &layer, layers) {
-      if (!layer.match_channels(neighbor, in_spec.channelnames, neighbor_spec.channelnames)) {
-        error = "Neighbor frame misses denoising data passes: " + filepath;
-        return false;
-      }
-    }
-
-    in_neighbors.push_back(std::move(in_neighbor));
-  }
-
-  return true;
-}
-
-bool DenoiseImage::save_output(const string &out_filepath, string &error)
-{
-  /* Save image with identical dimensions, channels and metadata. */
-  ImageSpec out_spec = in_spec;
-
-  /* Ensure that the output frame contains sample information even if the input didn't. */
-  for (int i = 0; i < layers.size(); i++) {
-    string name = "cycles." + layers[i].name + ".samples";
-    if (!out_spec.find_attribute(name, TypeDesc::STRING)) {
-      out_spec.attribute(name, TypeDesc::STRING, string_printf("%d", layers[i].samples));
-    }
-  }
-
-  /* We don't need input anymore at this point, and will possibly
-   * overwrite the same file. */
-  close_input();
-
-  /* Write to temporary file path, so we denoise images in place and don't
-   * risk destroying files when something goes wrong in file saving. */
-  string extension = OIIO::Filesystem::extension(out_filepath);
-  string unique_name = ".denoise-tmp-" + OIIO::Filesystem::unique_path();
-  string tmp_filepath = out_filepath + unique_name + extension;
-  unique_ptr<ImageOutput> out(ImageOutput::create(tmp_filepath));
-
-  if (!out) {
-    error = "Failed to open temporary file " + tmp_filepath + " for writing";
-    return false;
-  }
-
-  /* Open temporary file and write image buffers. */
-  if (!out->open(tmp_filepath, out_spec)) {
-    error = "Failed to open file " + tmp_filepath + " for writing: " + out->geterror();
-    return false;
-  }
-
-  bool ok = true;
-  if (!out->write_image(TypeDesc::FLOAT, pixels.data())) {
-    error = "Failed to write to file " + tmp_filepath + ": " + out->geterror();
-    ok = false;
-  }
-
-  if (!out->close()) {
-    error = "Failed to save to file " + tmp_filepath + ": " + out->geterror();
-    ok = false;
-  }
-
-  out.reset();
-
-  /* Copy temporary file to output filepath. */
-  string rename_error;
-  if (ok && !OIIO::Filesystem::rename(tmp_filepath, out_filepath, rename_error)) {
-    error = "Failed to move denoised image to " + out_filepath + ": " + rename_error;
-    ok = false;
-  }
-
-  if (!ok) {
-    OIIO::Filesystem::remove(tmp_filepath);
-  }
-
-  return ok;
-}
-
-/* File pattern handling and outer loop over frames */
-
-DenoiserPipeline::DenoiserPipeline(DeviceInfo &device_info)
-{
-  samples_override = 0;
-  tile_size = make_int2(64, 64);
-
-  num_frames = 0;
-
-  /* Initialize task scheduler. */
-  TaskScheduler::init();
-
-  /* Initialize device. */
-  device = Device::create(device_info, stats, profiler, true);
-
-  device->load_kernels(KERNEL_FEATURE_DENOISING);
-}
-
-DenoiserPipeline::~DenoiserPipeline()
-{
-  delete device;
-  TaskScheduler::exit();
-}
-
-bool DenoiserPipeline::run()
-{
-  assert(input.size() == output.size());
-
-  num_frames = output.size();
-
-  for (int frame = 0; frame < num_frames; frame++) {
-    /* Skip empty output paths. */
-    if (output[frame].empty()) {
-      continue;
-    }
-
-    /* Determine neighbor frame numbers that should be used for filtering. */
-    vector<int> neighbor_frames;
-    for (int f = frame - params.neighbor_frames; f <= frame + params.neighbor_frames; f++) {
-      if (f >= 0 && f < num_frames && f != frame) {
-        neighbor_frames.push_back(f);
-      }
-    }
-
-    /* Execute task. */
-    DenoiseTask task(device, this, frame, neighbor_frames);
-    if (!task.load()) {
-      error = task.error;
-      return false;
-    }
-
-    if (!task.exec()) {
-      error = task.error;
-      return false;
-    }
-
-    if (!task.save()) {
-      error = task.error;
-      return false;
-    }
-
-    task.free();
-  }
-
-  return true;
-}
-
-CCL_NAMESPACE_END
-
-#endif
diff --git a/intern/cycles/render/denoising.h b/intern/cycles/render/denoising.h
deleted file mode 100644
index 097cc570d06..00000000000
--- a/intern/cycles/render/denoising.h
+++ /dev/null
@@ -1,216 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __DENOISING_H__
-#define __DENOISING_H__
-
-#if 0
-
-/* TODO(sergey): Make it explicit and clear when something is a denoiser, its pipeline or
- * parameters. Currently it is an annoying mixture of terms used interchangeably. */
-
-#  include "device/device.h"
-
-#  include "render/buffers.h"
-
-#  include "util/util_string.h"
-#  include "util/util_unique_ptr.h"
-#  include "util/util_vector.h"
-
-#  include <OpenImageIO/imageio.h>
-
-OIIO_NAMESPACE_USING
-
-CCL_NAMESPACE_BEGIN
-
-/* Denoiser pipeline */
-
-class DenoiserPipeline {
- public:
-  DenoiserPipeline(DeviceInfo &device_info);
-  ~DenoiserPipeline();
-
-  bool run();
-
-  /* Error message after running, in case of failure. */
-  string error;
-
-  /* Sequential list of frame filepaths to denoise. */
-  vector<string> input;
-  /* Sequential list of frame filepaths to write result to. Empty entries
-   * are skipped, so only a subset of the sequence can be denoised while
-   * taking into account all input frames. */
-  vector<string> output;
-
-  /* Sample number override, takes precedence over values from input frames. */
-  int samples_override;
-  /* Tile size for processing on device. */
-  int2 tile_size;
-
-  /* Equivalent to the settings in the regular denoiser. */
-  DenoiseParams params;
-
- protected:
-  friend class DenoiseTask;
-
-  Stats stats;
-  Profiler profiler;
-  Device *device;
-
-  int num_frames;
-};
-
-/* Denoise Image Layer */
-
-struct DenoiseImageLayer {
-  string name;
-  /* All channels belonging to this DenoiseImageLayer. */
-  vector<string> channels;
-  /* Layer to image channel mapping. */
-  vector<int> layer_to_image_channel;
-
-  /* Sample amount that was used for rendering this layer. */
-  int samples;
-
-  /* Device input channel will be copied from image channel input_to_image_channel[i]. */
-  vector<int> input_to_image_channel;
-
-  /* input_to_image_channel of the secondary frames, if any are used. */
-  vector<vector<int>> neighbor_input_to_image_channel;
-
-  /* Write i-th channel of the processing output to output_to_image_channel[i]-th channel of the
-   * file. */
-  vector<int> output_to_image_channel;
-
-  /* Detect whether this layer contains a full set of channels and set up the offsets accordingly.
-   */
-  bool detect_denoising_channels();
-
-  /* Map the channels of a secondary frame to the channels that are required for processing,
-   * fill neighbor_input_to_image_channel if all are present or return false if a channel are
-   * missing. */
-  bool match_channels(int neighbor,
-                      const std::vector<string> &channelnames,
-                      const std::vector<string> &neighbor_channelnames);
-};
-
-/* Denoise Image Data */
-
-class DenoiseImage {
- public:
-  DenoiseImage();
-  ~DenoiseImage();
-
-  /* Dimensions */
-  int width, height, num_channels;
-
-  /* Samples */
-  int samples;
-
-  /* Pixel buffer with interleaved channels. */
-  array<float> pixels;
-
-  /* Image file handles */
-  ImageSpec in_spec;
-  vector<unique_ptr<ImageInput>> in_neighbors;
-
-  /* Render layers */
-  vector<DenoiseImageLayer> layers;
-
-  void free();
-
-  /* Open the input image, parse its channels, open the output image and allocate the output
-   * buffer. */
-  bool load(const string &in_filepath, string &error);
-
-  /* Load neighboring frames. */
-  bool load_neighbors(const vector<string> &filepaths, const vector<int> &frames, string &error);
-
-  /* Load subset of pixels from file buffer into input buffer, as needed for denoising
-   * on the device. Channels are reshuffled following the provided mapping. */
-  void read_pixels(const DenoiseImageLayer &layer, float *input_pixels);
-  bool read_neighbor_pixels(int neighbor, const DenoiseImageLayer &layer, float *input_pixels);
-
-  bool save_output(const string &out_filepath, string &error);
-
- protected:
-  /* Parse input file channels, separate them into DenoiseImageLayers,
-   * detect DenoiseImageLayers with full channel sets,
-   * fill layers and set up the output channels and passthrough map. */
-  bool parse_channels(const ImageSpec &in_spec, string &error);
-
-  void close_input();
-};
-
-/* Denoise Task */
-
-class DenoiseTask {
- public:
-  DenoiseTask(Device *device,
-              DenoiserPipeline *denoiser,
-              int frame,
-              const vector<int> &neighbor_frames);
-  ~DenoiseTask();
-
-  /* Task stages */
-  bool load();
-  bool exec();
-  bool save();
-  void free();
-
-  string error;
-
- protected:
-  /* Denoiser parameters and device */
-  DenoiserPipeline *denoiser;
-  Device *device;
-
-  /* Frame number to be denoised */
-  int frame;
-  vector<int> neighbor_frames;
-
-  /* Image file data */
-  DenoiseImage image;
-  int current_layer;
-
-  /* Device input buffer */
-  device_vector<float> input_pixels;
-
-  /* Tiles */
-  thread_mutex tiles_mutex;
-  list<RenderTile> tiles;
-  int num_tiles;
-
-  thread_mutex output_mutex;
-  map<int, device_vector<float> *> output_pixels;
-
-  /* Task handling */
-  bool load_input_pixels(int layer);
-  void create_task(DeviceTask &task);
-
-  /* Device task callbacks */
-  bool acquire_tile(Device *device, Device *tile_device, RenderTile &tile);
-  void map_neighboring_tiles(RenderTileNeighbors &neighbors, Device *tile_device);
-  void unmap_neighboring_tiles(RenderTileNeighbors &neighbors);
-  void release_tile();
-  bool get_cancel();
-};
-
-CCL_NAMESPACE_END
-
-#endif
-
-#endif /* __DENOISING_H__ */
diff --git a/intern/cycles/render/display_driver.h b/intern/cycles/render/display_driver.h
deleted file mode 100644
index 85f305034d7..00000000000
--- a/intern/cycles/render/display_driver.h
+++ /dev/null
@@ -1,131 +0,0 @@
-/*
- * Copyright 2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "util/util_half.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Display driver for efficient interactive display of renders.
- *
- * Host applications implement this interface for viewport rendering. For best performance, we
- * recommend:
- * - Allocating a texture on the GPU to be interactively updated
- * - Using the graphics interop mechanism to avoid CPU-GPU copying overhead
- * - Using a dedicated or thread-safe graphics API context for updates, to avoid
- *   blocking the host application.
- */
-class DisplayDriver {
- public:
-  DisplayDriver() = default;
-  virtual ~DisplayDriver() = default;
-
-  /* Render buffer parameters. */
-  struct Params {
-   public:
-    /* Render resolution, ignoring progressive resolution changes.
-     * The texture buffer should be allocated with this size. */
-    int2 size = make_int2(0, 0);
-
-    /* For border rendering, the full resolution of the render, and the offset within that larger
-     * render. */
-    int2 full_size = make_int2(0, 0);
-    int2 full_offset = make_int2(0, 0);
-
-    bool modified(const Params &other) const
-    {
-      return !(full_offset == other.full_offset && full_size == other.full_size &&
-               size == other.size);
-    }
-  };
-
-  /* Update the render from the rendering thread.
-   *
-   * Cycles periodically updates the render to be displayed. For multithreaded updates with
-   * potentially multiple rendering devices, it will call these methods as follows.
-   *
-   * if (driver.update_begin(params, width, height)) {
-   *     parallel_for_each(rendering_device) {
-   *         buffer = driver.map_texture_buffer();
-   *         if (buffer) {
-   *             fill(buffer);
-   *             driver.unmap_texture_buffer();
-   *         }
-   *     }
-   *     driver.update_end();
-   * }
-   *
-   * The parameters may dynamically change due to camera changes in the scene, and resources should
-   * be re-allocated accordingly.
-   *
-   * The width and height passed to update_begin() are the effective render resolution taking into
-   * account progressive resolution changes, which may be equal to or smaller than the params.size.
-   * For efficiency, changes in this resolution should be handled without re-allocating resources,
-   * but rather by using a subset of the full resolution buffer. */
-  virtual bool update_begin(const Params &params, int width, int height) = 0;
-  virtual void update_end() = 0;
-
-  virtual half4 *map_texture_buffer() = 0;
-  virtual void unmap_texture_buffer() = 0;
-
-  /* Optionally return a handle to a native graphics API texture buffer. If supported,
-   * the rendering device may write directly to this buffer instead of calling
-   * map_texture_buffer() and unmap_texture_buffer(). */
-  class GraphicsInterop {
-   public:
-    /* Dimensions of the buffer, in pixels. */
-    int buffer_width = 0;
-    int buffer_height = 0;
-
-    /* OpenGL pixel buffer object. */
-    int opengl_pbo_id = 0;
-
-    /* Clear the entire buffer before doing partial write to it. */
-    bool need_clear = false;
-  };
-
-  virtual GraphicsInterop graphics_interop_get()
-  {
-    return GraphicsInterop();
-  }
-
-  /* (De)activate graphics context required for editing or deleting the graphics interop
-   * object.
-   *
-   * For example, destruction of the CUDA object associated with an OpenGL requires the
-   * OpenGL context to be active. */
-  virtual void graphics_interop_activate(){};
-  virtual void graphics_interop_deactivate(){};
-
-  /* Clear the display buffer by filling it with zeros. */
-  virtual void clear() = 0;
-
-  /* Draw the render using the native graphics API.
-   *
-   * Note that this may be called in parallel to updates. The implementation is responsible for
-   * mutex locking or other mechanisms to avoid conflicts.
-   *
-   * The parameters may have changed since the last update. The implementation is responsible for
-   * deciding to skip or adjust render display for such changes.
-   *
-   * Host application drawing the render buffer should use Session.draw(), which will
-   * call this method. */
-  virtual void draw(const Params &params) = 0;
-};
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/film.cpp b/intern/cycles/render/film.cpp
deleted file mode 100644
index bd18c777eb5..00000000000
--- a/intern/cycles/render/film.cpp
+++ /dev/null
@@ -1,692 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/film.h"
-#include "device/device.h"
-#include "render/background.h"
-#include "render/bake.h"
-#include "render/camera.h"
-#include "render/integrator.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/stats.h"
-#include "render/tables.h"
-
-#include "util/util_algorithm.h"
-#include "util/util_foreach.h"
-#include "util/util_math.h"
-#include "util/util_math_cdf.h"
-#include "util/util_time.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Pixel Filter */
-
-static float filter_func_box(float /*v*/, float /*width*/)
-{
-  return 1.0f;
-}
-
-static float filter_func_gaussian(float v, float width)
-{
-  v *= 6.0f / width;
-  return expf(-2.0f * v * v);
-}
-
-static float filter_func_blackman_harris(float v, float width)
-{
-  v = M_2PI_F * (v / width + 0.5f);
-  return 0.35875f - 0.48829f * cosf(v) + 0.14128f * cosf(2.0f * v) - 0.01168f * cosf(3.0f * v);
-}
-
-static vector<float> filter_table(FilterType type, float width)
-{
-  vector<float> filter_table(FILTER_TABLE_SIZE);
-  float (*filter_func)(float, float) = NULL;
-
-  switch (type) {
-    case FILTER_BOX:
-      filter_func = filter_func_box;
-      break;
-    case FILTER_GAUSSIAN:
-      filter_func = filter_func_gaussian;
-      width *= 3.0f;
-      break;
-    case FILTER_BLACKMAN_HARRIS:
-      filter_func = filter_func_blackman_harris;
-      width *= 2.0f;
-      break;
-    default:
-      assert(0);
-  }
-
-  /* Create importance sampling table. */
-
-  /* TODO(sergey): With the even filter table size resolution we can not
-   * really make it nice symmetric importance map without sampling full range
-   * (meaning, we would need to sample full filter range and not use the
-   * make_symmetric argument).
-   *
-   * Current code matches exactly initial filter table code, but we should
-   * consider either making FILTER_TABLE_SIZE odd value or sample full filter.
-   */
-
-  util_cdf_inverted(FILTER_TABLE_SIZE,
-                    0.0f,
-                    width * 0.5f,
-                    function_bind(filter_func, _1, width),
-                    true,
-                    filter_table);
-
-  return filter_table;
-}
-
-/* Film */
-
-NODE_DEFINE(Film)
-{
-  NodeType *type = NodeType::add("film", create);
-
-  SOCKET_FLOAT(exposure, "Exposure", 0.8f);
-  SOCKET_FLOAT(pass_alpha_threshold, "Pass Alpha Threshold", 0.0f);
-
-  static NodeEnum filter_enum;
-  filter_enum.insert("box", FILTER_BOX);
-  filter_enum.insert("gaussian", FILTER_GAUSSIAN);
-  filter_enum.insert("blackman_harris", FILTER_BLACKMAN_HARRIS);
-
-  SOCKET_ENUM(filter_type, "Filter Type", filter_enum, FILTER_BOX);
-  SOCKET_FLOAT(filter_width, "Filter Width", 1.0f);
-
-  SOCKET_FLOAT(mist_start, "Mist Start", 0.0f);
-  SOCKET_FLOAT(mist_depth, "Mist Depth", 100.0f);
-  SOCKET_FLOAT(mist_falloff, "Mist Falloff", 1.0f);
-
-  const NodeEnum *pass_type_enum = Pass::get_type_enum();
-  SOCKET_ENUM(display_pass, "Display Pass", *pass_type_enum, PASS_COMBINED);
-
-  SOCKET_BOOLEAN(show_active_pixels, "Show Active Pixels", false);
-
-  static NodeEnum cryptomatte_passes_enum;
-  cryptomatte_passes_enum.insert("none", CRYPT_NONE);
-  cryptomatte_passes_enum.insert("object", CRYPT_OBJECT);
-  cryptomatte_passes_enum.insert("material", CRYPT_MATERIAL);
-  cryptomatte_passes_enum.insert("asset", CRYPT_ASSET);
-  cryptomatte_passes_enum.insert("accurate", CRYPT_ACCURATE);
-  SOCKET_ENUM(cryptomatte_passes, "Cryptomatte Passes", cryptomatte_passes_enum, CRYPT_NONE);
-
-  SOCKET_INT(cryptomatte_depth, "Cryptomatte Depth", 0);
-
-  SOCKET_BOOLEAN(use_approximate_shadow_catcher, "Use Approximate Shadow Catcher", false);
-
-  return type;
-}
-
-Film::Film() : Node(get_node_type()), filter_table_offset_(TABLE_OFFSET_INVALID)
-{
-}
-
-Film::~Film()
-{
-}
-
-void Film::add_default(Scene *scene)
-{
-  Pass *pass = scene->create_node<Pass>();
-  pass->set_type(PASS_COMBINED);
-}
-
-void Film::device_update(Device *device, DeviceScene *dscene, Scene *scene)
-{
-  if (!is_modified())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->film.times.add_entry({"update", time});
-    }
-  });
-
-  device_free(device, dscene, scene);
-
-  KernelFilm *kfilm = &dscene->data.film;
-
-  /* update __data */
-  kfilm->exposure = exposure;
-  kfilm->pass_alpha_threshold = pass_alpha_threshold;
-  kfilm->pass_flag = 0;
-
-  kfilm->use_approximate_shadow_catcher = get_use_approximate_shadow_catcher();
-
-  kfilm->light_pass_flag = 0;
-  kfilm->pass_stride = 0;
-
-  /* Mark with PASS_UNUSED to avoid mask test in the kernel. */
-  kfilm->pass_background = PASS_UNUSED;
-  kfilm->pass_emission = PASS_UNUSED;
-  kfilm->pass_ao = PASS_UNUSED;
-  kfilm->pass_diffuse_direct = PASS_UNUSED;
-  kfilm->pass_diffuse_indirect = PASS_UNUSED;
-  kfilm->pass_glossy_direct = PASS_UNUSED;
-  kfilm->pass_glossy_indirect = PASS_UNUSED;
-  kfilm->pass_transmission_direct = PASS_UNUSED;
-  kfilm->pass_transmission_indirect = PASS_UNUSED;
-  kfilm->pass_volume_direct = PASS_UNUSED;
-  kfilm->pass_volume_indirect = PASS_UNUSED;
-  kfilm->pass_volume_direct = PASS_UNUSED;
-  kfilm->pass_volume_indirect = PASS_UNUSED;
-  kfilm->pass_shadow = PASS_UNUSED;
-
-  /* Mark passes as unused so that the kernel knows the pass is inaccessible. */
-  kfilm->pass_denoising_normal = PASS_UNUSED;
-  kfilm->pass_denoising_albedo = PASS_UNUSED;
-  kfilm->pass_sample_count = PASS_UNUSED;
-  kfilm->pass_adaptive_aux_buffer = PASS_UNUSED;
-  kfilm->pass_shadow_catcher = PASS_UNUSED;
-  kfilm->pass_shadow_catcher_sample_count = PASS_UNUSED;
-  kfilm->pass_shadow_catcher_matte = PASS_UNUSED;
-
-  bool have_cryptomatte = false;
-  bool have_aov_color = false;
-  bool have_aov_value = false;
-
-  for (size_t i = 0; i < scene->passes.size(); i++) {
-    const Pass *pass = scene->passes[i];
-
-    if (pass->get_type() == PASS_NONE || !pass->is_written()) {
-      continue;
-    }
-
-    if (pass->get_mode() == PassMode::DENOISED) {
-      /* Generally we only storing offsets of the noisy passes. The display pass is an exception
-       * since it is a read operation and not a write. */
-      kfilm->pass_stride += pass->get_info().num_components;
-      continue;
-    }
-
-    /* Can't do motion pass if no motion vectors are available. */
-    if (pass->get_type() == PASS_MOTION || pass->get_type() == PASS_MOTION_WEIGHT) {
-      if (scene->need_motion() != Scene::MOTION_PASS) {
-        kfilm->pass_stride += pass->get_info().num_components;
-        continue;
-      }
-    }
-
-    const int pass_flag = (1 << (pass->get_type() % 32));
-    if (pass->get_type() <= PASS_CATEGORY_LIGHT_END) {
-      kfilm->light_pass_flag |= pass_flag;
-    }
-    else if (pass->get_type() <= PASS_CATEGORY_DATA_END) {
-      kfilm->pass_flag |= pass_flag;
-    }
-    else {
-      assert(pass->get_type() <= PASS_CATEGORY_BAKE_END);
-    }
-
-    switch (pass->get_type()) {
-      case PASS_COMBINED:
-        kfilm->pass_combined = kfilm->pass_stride;
-        break;
-      case PASS_DEPTH:
-        kfilm->pass_depth = kfilm->pass_stride;
-        break;
-      case PASS_NORMAL:
-        kfilm->pass_normal = kfilm->pass_stride;
-        break;
-      case PASS_POSITION:
-        kfilm->pass_position = kfilm->pass_stride;
-        break;
-      case PASS_ROUGHNESS:
-        kfilm->pass_roughness = kfilm->pass_stride;
-        break;
-      case PASS_UV:
-        kfilm->pass_uv = kfilm->pass_stride;
-        break;
-      case PASS_MOTION:
-        kfilm->pass_motion = kfilm->pass_stride;
-        break;
-      case PASS_MOTION_WEIGHT:
-        kfilm->pass_motion_weight = kfilm->pass_stride;
-        break;
-      case PASS_OBJECT_ID:
-        kfilm->pass_object_id = kfilm->pass_stride;
-        break;
-      case PASS_MATERIAL_ID:
-        kfilm->pass_material_id = kfilm->pass_stride;
-        break;
-
-      case PASS_MIST:
-        kfilm->pass_mist = kfilm->pass_stride;
-        break;
-      case PASS_EMISSION:
-        kfilm->pass_emission = kfilm->pass_stride;
-        break;
-      case PASS_BACKGROUND:
-        kfilm->pass_background = kfilm->pass_stride;
-        break;
-      case PASS_AO:
-        kfilm->pass_ao = kfilm->pass_stride;
-        break;
-      case PASS_SHADOW:
-        kfilm->pass_shadow = kfilm->pass_stride;
-        break;
-
-      case PASS_DIFFUSE_COLOR:
-        kfilm->pass_diffuse_color = kfilm->pass_stride;
-        break;
-      case PASS_GLOSSY_COLOR:
-        kfilm->pass_glossy_color = kfilm->pass_stride;
-        break;
-      case PASS_TRANSMISSION_COLOR:
-        kfilm->pass_transmission_color = kfilm->pass_stride;
-        break;
-      case PASS_DIFFUSE_INDIRECT:
-        kfilm->pass_diffuse_indirect = kfilm->pass_stride;
-        break;
-      case PASS_GLOSSY_INDIRECT:
-        kfilm->pass_glossy_indirect = kfilm->pass_stride;
-        break;
-      case PASS_TRANSMISSION_INDIRECT:
-        kfilm->pass_transmission_indirect = kfilm->pass_stride;
-        break;
-      case PASS_VOLUME_INDIRECT:
-        kfilm->pass_volume_indirect = kfilm->pass_stride;
-        break;
-      case PASS_DIFFUSE_DIRECT:
-        kfilm->pass_diffuse_direct = kfilm->pass_stride;
-        break;
-      case PASS_GLOSSY_DIRECT:
-        kfilm->pass_glossy_direct = kfilm->pass_stride;
-        break;
-      case PASS_TRANSMISSION_DIRECT:
-        kfilm->pass_transmission_direct = kfilm->pass_stride;
-        break;
-      case PASS_VOLUME_DIRECT:
-        kfilm->pass_volume_direct = kfilm->pass_stride;
-        break;
-
-      case PASS_BAKE_PRIMITIVE:
-        kfilm->pass_bake_primitive = kfilm->pass_stride;
-        break;
-      case PASS_BAKE_DIFFERENTIAL:
-        kfilm->pass_bake_differential = kfilm->pass_stride;
-        break;
-
-      case PASS_CRYPTOMATTE:
-        kfilm->pass_cryptomatte = have_cryptomatte ?
-                                      min(kfilm->pass_cryptomatte, kfilm->pass_stride) :
-                                      kfilm->pass_stride;
-        have_cryptomatte = true;
-        break;
-
-      case PASS_DENOISING_NORMAL:
-        kfilm->pass_denoising_normal = kfilm->pass_stride;
-        break;
-      case PASS_DENOISING_ALBEDO:
-        kfilm->pass_denoising_albedo = kfilm->pass_stride;
-        break;
-      case PASS_DENOISING_DEPTH:
-        kfilm->pass_denoising_depth = kfilm->pass_stride;
-        break;
-
-      case PASS_SHADOW_CATCHER:
-        kfilm->pass_shadow_catcher = kfilm->pass_stride;
-        break;
-      case PASS_SHADOW_CATCHER_SAMPLE_COUNT:
-        kfilm->pass_shadow_catcher_sample_count = kfilm->pass_stride;
-        break;
-      case PASS_SHADOW_CATCHER_MATTE:
-        kfilm->pass_shadow_catcher_matte = kfilm->pass_stride;
-        break;
-
-      case PASS_ADAPTIVE_AUX_BUFFER:
-        kfilm->pass_adaptive_aux_buffer = kfilm->pass_stride;
-        break;
-      case PASS_SAMPLE_COUNT:
-        kfilm->pass_sample_count = kfilm->pass_stride;
-        break;
-
-      case PASS_AOV_COLOR:
-        if (!have_aov_color) {
-          kfilm->pass_aov_color = kfilm->pass_stride;
-          have_aov_color = true;
-        }
-        break;
-      case PASS_AOV_VALUE:
-        if (!have_aov_value) {
-          kfilm->pass_aov_value = kfilm->pass_stride;
-          have_aov_value = true;
-        }
-        break;
-      default:
-        assert(false);
-        break;
-    }
-
-    kfilm->pass_stride += pass->get_info().num_components;
-  }
-
-  /* update filter table */
-  vector<float> table = filter_table(filter_type, filter_width);
-  scene->lookup_tables->remove_table(&filter_table_offset_);
-  filter_table_offset_ = scene->lookup_tables->add_table(dscene, table);
-  kfilm->filter_table_offset = (int)filter_table_offset_;
-
-  /* mist pass parameters */
-  kfilm->mist_start = mist_start;
-  kfilm->mist_inv_depth = (mist_depth > 0.0f) ? 1.0f / mist_depth : 0.0f;
-  kfilm->mist_falloff = mist_falloff;
-
-  kfilm->cryptomatte_passes = cryptomatte_passes;
-  kfilm->cryptomatte_depth = cryptomatte_depth;
-
-  clear_modified();
-}
-
-void Film::device_free(Device * /*device*/, DeviceScene * /*dscene*/, Scene *scene)
-{
-  scene->lookup_tables->remove_table(&filter_table_offset_);
-}
-
-int Film::get_aov_offset(Scene *scene, string name, bool &is_color)
-{
-  int offset_color = 0, offset_value = 0;
-  foreach (const Pass *pass, scene->passes) {
-    if (pass->get_name() == name) {
-      if (pass->get_type() == PASS_AOV_VALUE) {
-        is_color = false;
-        return offset_value;
-      }
-      else if (pass->get_type() == PASS_AOV_COLOR) {
-        is_color = true;
-        return offset_color;
-      }
-    }
-
-    if (pass->get_type() == PASS_AOV_VALUE) {
-      offset_value += pass->get_info().num_components;
-    }
-    else if (pass->get_type() == PASS_AOV_COLOR) {
-      offset_color += pass->get_info().num_components;
-    }
-  }
-
-  return -1;
-}
-
-void Film::update_passes(Scene *scene, bool add_sample_count_pass)
-{
-  const Background *background = scene->background;
-  const BakeManager *bake_manager = scene->bake_manager;
-  const ObjectManager *object_manager = scene->object_manager;
-  Integrator *integrator = scene->integrator;
-
-  if (!is_modified() && !object_manager->need_update() && !integrator->is_modified() &&
-      !background->is_modified()) {
-    return;
-  }
-
-  /* Remove auto generated passes and recreate them. */
-  remove_auto_passes(scene);
-
-  /* Display pass for viewport. */
-  const PassType display_pass = get_display_pass();
-  add_auto_pass(scene, display_pass);
-
-  /* Assumption is that a combined pass always exists for now, for example
-   * adaptive sampling is always based on a combined pass. But we should
-   * try to lift this limitation in the future for faster rendering of
-   * individual passes. */
-  if (display_pass != PASS_COMBINED) {
-    add_auto_pass(scene, PASS_COMBINED);
-  }
-
-  /* Create passes needed for adaptive sampling. */
-  const AdaptiveSampling adaptive_sampling = integrator->get_adaptive_sampling();
-  if (adaptive_sampling.use) {
-    add_auto_pass(scene, PASS_SAMPLE_COUNT);
-    add_auto_pass(scene, PASS_ADAPTIVE_AUX_BUFFER);
-  }
-
-  /* Create passes needed for denoising. */
-  const bool use_denoise = integrator->get_use_denoise();
-  if (use_denoise) {
-    if (integrator->get_use_denoise_pass_normal()) {
-      add_auto_pass(scene, PASS_DENOISING_NORMAL);
-    }
-    if (integrator->get_use_denoise_pass_albedo()) {
-      add_auto_pass(scene, PASS_DENOISING_ALBEDO);
-    }
-  }
-
-  /* Create passes for shadow catcher. */
-  if (scene->has_shadow_catcher()) {
-    const bool need_background = get_use_approximate_shadow_catcher() &&
-                                 !background->get_transparent();
-
-    add_auto_pass(scene, PASS_SHADOW_CATCHER);
-    add_auto_pass(scene, PASS_SHADOW_CATCHER_SAMPLE_COUNT);
-    add_auto_pass(scene, PASS_SHADOW_CATCHER_MATTE);
-
-    if (need_background) {
-      add_auto_pass(scene, PASS_BACKGROUND);
-    }
-  }
-  else if (Pass::contains(scene->passes, PASS_SHADOW_CATCHER)) {
-    add_auto_pass(scene, PASS_SHADOW_CATCHER);
-    add_auto_pass(scene, PASS_SHADOW_CATCHER_SAMPLE_COUNT);
-  }
-
-  const vector<Pass *> passes_immutable = scene->passes;
-  for (const Pass *pass : passes_immutable) {
-    const PassInfo info = pass->get_info();
-    /* Add utility passes needed to generate some light passes. */
-    if (info.divide_type != PASS_NONE) {
-      add_auto_pass(scene, info.divide_type);
-    }
-    if (info.direct_type != PASS_NONE) {
-      add_auto_pass(scene, info.direct_type);
-    }
-    if (info.indirect_type != PASS_NONE) {
-      add_auto_pass(scene, info.indirect_type);
-    }
-
-    /* NOTE: Enable all denoised passes when storage is requested.
-     * This way it is possible to tweak denoiser parameters later on. */
-    if (info.support_denoise && use_denoise) {
-      add_auto_pass(scene, pass->get_type(), PassMode::DENOISED);
-    }
-  }
-
-  if (bake_manager->get_baking()) {
-    add_auto_pass(scene, PASS_BAKE_PRIMITIVE, "BakePrimitive");
-    add_auto_pass(scene, PASS_BAKE_DIFFERENTIAL, "BakeDifferential");
-  }
-
-  if (add_sample_count_pass) {
-    if (!Pass::contains(scene->passes, PASS_SAMPLE_COUNT)) {
-      add_auto_pass(scene, PASS_SAMPLE_COUNT);
-    }
-  }
-
-  /* Remove duplicates and initialize internal pass info. */
-  finalize_passes(scene, use_denoise);
-
-  /* Flush scene updates. */
-  const bool have_uv_pass = Pass::contains(scene->passes, PASS_UV);
-  const bool have_motion_pass = Pass::contains(scene->passes, PASS_MOTION);
-  const bool have_ao_pass = Pass::contains(scene->passes, PASS_AO);
-
-  if (have_uv_pass != prev_have_uv_pass) {
-    scene->geometry_manager->tag_update(scene, GeometryManager::UV_PASS_NEEDED);
-    foreach (Shader *shader, scene->shaders)
-      shader->need_update_uvs = true;
-  }
-  if (have_motion_pass != prev_have_motion_pass) {
-    scene->geometry_manager->tag_update(scene, GeometryManager::MOTION_PASS_NEEDED);
-  }
-  if (have_ao_pass != prev_have_ao_pass) {
-    scene->integrator->tag_update(scene, Integrator::AO_PASS_MODIFIED);
-  }
-
-  prev_have_uv_pass = have_uv_pass;
-  prev_have_motion_pass = have_motion_pass;
-  prev_have_ao_pass = have_ao_pass;
-
-  tag_modified();
-
-  /* Debug logging. */
-  if (VLOG_IS_ON(2)) {
-    VLOG(2) << "Effective scene passes:";
-    for (const Pass *pass : scene->passes) {
-      VLOG(2) << "- " << *pass;
-    }
-  }
-}
-
-void Film::add_auto_pass(Scene *scene, PassType type, const char *name)
-{
-  add_auto_pass(scene, type, PassMode::NOISY, name);
-}
-
-void Film::add_auto_pass(Scene *scene, PassType type, PassMode mode, const char *name)
-{
-  Pass *pass = new Pass();
-  pass->set_type(type);
-  pass->set_mode(mode);
-  pass->set_name(ustring((name) ? name : ""));
-  pass->is_auto_ = true;
-
-  pass->set_owner(scene);
-  scene->passes.push_back(pass);
-}
-
-void Film::remove_auto_passes(Scene *scene)
-{
-  /* Remove all passes which were automatically created. */
-  vector<Pass *> new_passes;
-
-  for (Pass *pass : scene->passes) {
-    if (!pass->is_auto_) {
-      new_passes.push_back(pass);
-    }
-    else {
-      delete pass;
-    }
-  }
-
-  scene->passes = new_passes;
-}
-
-static bool compare_pass_order(const Pass *a, const Pass *b)
-{
-  const int num_components_a = a->get_info().num_components;
-  const int num_components_b = b->get_info().num_components;
-
-  if (num_components_a == num_components_b) {
-    return (a->get_type() < b->get_type());
-  }
-
-  return num_components_a > num_components_b;
-}
-
-void Film::finalize_passes(Scene *scene, const bool use_denoise)
-{
-  /* Remove duplicate passes. */
-  vector<Pass *> new_passes;
-
-  for (Pass *pass : scene->passes) {
-    /* Disable denoising on passes if denoising is disabled, or if the
-     * pass does not support it. */
-    pass->set_mode((use_denoise && pass->get_info().support_denoise) ? pass->get_mode() :
-                                                                       PassMode::NOISY);
-
-    /* Merge duplicate passes. */
-    bool duplicate_found = false;
-    for (Pass *new_pass : new_passes) {
-      /* If different type or denoising, don't merge. */
-      if (new_pass->get_type() != pass->get_type() || new_pass->get_mode() != pass->get_mode()) {
-        continue;
-      }
-
-      /* If both passes have a name and the names are different, don't merge.
-       * If either pass has a name, we'll use that name. */
-      if (!pass->get_name().empty() && !new_pass->get_name().empty() &&
-          pass->get_name() != new_pass->get_name()) {
-        continue;
-      }
-
-      if (!pass->get_name().empty() && new_pass->get_name().empty()) {
-        new_pass->set_name(pass->get_name());
-      }
-
-      new_pass->is_auto_ &= pass->is_auto_;
-      duplicate_found = true;
-      break;
-    }
-
-    if (!duplicate_found) {
-      new_passes.push_back(pass);
-    }
-    else {
-      delete pass;
-    }
-  }
-
-  /* Order from by components and type, This is required to for AOVs and cryptomatte passes,
-   * which the kernel assumes to be in order. Note this must use stable sort so cryptomatte
-   * passes remain in the right order. */
-  stable_sort(new_passes.begin(), new_passes.end(), compare_pass_order);
-
-  scene->passes = new_passes;
-}
-
-uint Film::get_kernel_features(const Scene *scene) const
-{
-  uint kernel_features = 0;
-
-  for (const Pass *pass : scene->passes) {
-    if (!pass->is_written()) {
-      continue;
-    }
-
-    const PassType pass_type = pass->get_type();
-    const PassMode pass_mode = pass->get_mode();
-
-    if (pass_mode == PassMode::DENOISED || pass_type == PASS_DENOISING_NORMAL ||
-        pass_type == PASS_DENOISING_ALBEDO || pass_type == PASS_DENOISING_DEPTH) {
-      kernel_features |= KERNEL_FEATURE_DENOISING;
-    }
-
-    if (pass_type != PASS_NONE && pass_type != PASS_COMBINED &&
-        pass_type <= PASS_CATEGORY_LIGHT_END) {
-      kernel_features |= KERNEL_FEATURE_LIGHT_PASSES;
-
-      if (pass_type == PASS_SHADOW) {
-        kernel_features |= KERNEL_FEATURE_SHADOW_PASS;
-      }
-    }
-
-    if (pass_type == PASS_AO) {
-      kernel_features |= KERNEL_FEATURE_AO_PASS;
-    }
-  }
-
-  return kernel_features;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/film.h b/intern/cycles/render/film.h
deleted file mode 100644
index 5d327353361..00000000000
--- a/intern/cycles/render/film.h
+++ /dev/null
@@ -1,100 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __FILM_H__
-#define __FILM_H__
-
-#include "render/pass.h"
-#include "util/util_string.h"
-#include "util/util_vector.h"
-
-#include "kernel/kernel_types.h"
-
-#include "graph/node.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Scene;
-
-typedef enum FilterType {
-  FILTER_BOX,
-  FILTER_GAUSSIAN,
-  FILTER_BLACKMAN_HARRIS,
-
-  FILTER_NUM_TYPES,
-} FilterType;
-
-class Film : public Node {
- public:
-  NODE_DECLARE
-
-  NODE_SOCKET_API(float, exposure)
-  NODE_SOCKET_API(float, pass_alpha_threshold)
-
-  NODE_SOCKET_API(PassType, display_pass)
-  NODE_SOCKET_API(bool, show_active_pixels)
-
-  NODE_SOCKET_API(FilterType, filter_type)
-  NODE_SOCKET_API(float, filter_width)
-
-  NODE_SOCKET_API(float, mist_start)
-  NODE_SOCKET_API(float, mist_depth)
-  NODE_SOCKET_API(float, mist_falloff)
-
-  NODE_SOCKET_API(CryptomatteType, cryptomatte_passes)
-  NODE_SOCKET_API(int, cryptomatte_depth)
-
-  /* Approximate shadow catcher pass into its matte pass, so that both artificial objects and
-   * shadows can be alpha-overed onto a backdrop. */
-  NODE_SOCKET_API(bool, use_approximate_shadow_catcher)
-
- private:
-  size_t filter_table_offset_;
-  bool prev_have_uv_pass = false;
-  bool prev_have_motion_pass = false;
-  bool prev_have_ao_pass = false;
-
- public:
-  Film();
-  ~Film();
-
-  /* add default passes to scene */
-  static void add_default(Scene *scene);
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
-  void device_free(Device *device, DeviceScene *dscene, Scene *scene);
-
-  int get_aov_offset(Scene *scene, string name, bool &is_color);
-
-  /* Update passes so that they contain all passes required for the configured functionality.
-   *
-   * If `add_sample_count_pass` is true then the SAMPLE_COUNT pass is ensured to be added. */
-  void update_passes(Scene *scene, bool add_sample_count_pass);
-
-  uint get_kernel_features(const Scene *scene) const;
-
- private:
-  void add_auto_pass(Scene *scene, PassType type, const char *name = nullptr);
-  void add_auto_pass(Scene *scene, PassType type, PassMode mode, const char *name = nullptr);
-  void remove_auto_passes(Scene *scene);
-  void finalize_passes(Scene *scene, const bool use_denoise);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __FILM_H__ */
diff --git a/intern/cycles/render/geometry.cpp b/intern/cycles/render/geometry.cpp
deleted file mode 100644
index 5cedab24ceb..00000000000
--- a/intern/cycles/render/geometry.cpp
+++ /dev/null
@@ -1,2074 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "bvh/bvh.h"
-#include "bvh/bvh2.h"
-
-#include "device/device.h"
-
-#include "render/attribute.h"
-#include "render/camera.h"
-#include "render/geometry.h"
-#include "render/hair.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/nodes.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/shader.h"
-#include "render/stats.h"
-#include "render/volume.h"
-
-#include "subd/subd_patch_table.h"
-#include "subd/subd_split.h"
-
-#include "kernel/osl/osl_globals.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_progress.h"
-#include "util/util_task.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Geometry */
-
-NODE_ABSTRACT_DEFINE(Geometry)
-{
-  NodeType *type = NodeType::add("geometry_base", NULL);
-
-  SOCKET_UINT(motion_steps, "Motion Steps", 3);
-  SOCKET_BOOLEAN(use_motion_blur, "Use Motion Blur", false);
-  SOCKET_NODE_ARRAY(used_shaders, "Shaders", Shader::get_node_type());
-
-  return type;
-}
-
-Geometry::Geometry(const NodeType *node_type, const Type type)
-    : Node(node_type), geometry_type(type), attributes(this, ATTR_PRIM_GEOMETRY)
-{
-  need_update_rebuild = false;
-  need_update_bvh_for_offset = false;
-
-  transform_applied = false;
-  transform_negative_scaled = false;
-  transform_normal = transform_identity();
-  bounds = BoundBox::empty;
-
-  has_volume = false;
-  has_surface_bssrdf = false;
-
-  bvh = NULL;
-  attr_map_offset = 0;
-  prim_offset = 0;
-}
-
-Geometry::~Geometry()
-{
-  dereference_all_used_nodes();
-  delete bvh;
-}
-
-void Geometry::clear(bool preserve_shaders)
-{
-  if (!preserve_shaders)
-    used_shaders.clear();
-
-  transform_applied = false;
-  transform_negative_scaled = false;
-  transform_normal = transform_identity();
-  tag_modified();
-}
-
-bool Geometry::need_attribute(Scene *scene, AttributeStandard std)
-{
-  if (std == ATTR_STD_NONE)
-    return false;
-
-  if (scene->need_global_attribute(std))
-    return true;
-
-  foreach (Node *node, used_shaders) {
-    Shader *shader = static_cast<Shader *>(node);
-    if (shader->attributes.find(std))
-      return true;
-  }
-
-  return false;
-}
-
-bool Geometry::need_attribute(Scene * /*scene*/, ustring name)
-{
-  if (name == ustring())
-    return false;
-
-  foreach (Node *node, used_shaders) {
-    Shader *shader = static_cast<Shader *>(node);
-    if (shader->attributes.find(name))
-      return true;
-  }
-
-  return false;
-}
-
-AttributeRequestSet Geometry::needed_attributes()
-{
-  AttributeRequestSet result;
-
-  foreach (Node *node, used_shaders) {
-    Shader *shader = static_cast<Shader *>(node);
-    result.add(shader->attributes);
-  }
-
-  return result;
-}
-
-float Geometry::motion_time(int step) const
-{
-  return (motion_steps > 1) ? 2.0f * step / (motion_steps - 1) - 1.0f : 0.0f;
-}
-
-int Geometry::motion_step(float time) const
-{
-  if (motion_steps > 1) {
-    int attr_step = 0;
-
-    for (int step = 0; step < motion_steps; step++) {
-      float step_time = motion_time(step);
-      if (step_time == time) {
-        return attr_step;
-      }
-
-      /* Center step is stored in a separate attribute. */
-      if (step != motion_steps / 2) {
-        attr_step++;
-      }
-    }
-  }
-
-  return -1;
-}
-
-bool Geometry::need_build_bvh(BVHLayout layout) const
-{
-  return is_instanced() || layout == BVH_LAYOUT_OPTIX || layout == BVH_LAYOUT_MULTI_OPTIX ||
-         layout == BVH_LAYOUT_MULTI_OPTIX_EMBREE;
-}
-
-bool Geometry::is_instanced() const
-{
-  /* Currently we treat subsurface objects as instanced.
-   *
-   * While it might be not very optimal for ray traversal, it avoids having
-   * duplicated BVH in the memory, saving quite some space.
-   */
-  return !transform_applied || has_surface_bssrdf;
-}
-
-bool Geometry::has_true_displacement() const
-{
-  foreach (Node *node, used_shaders) {
-    Shader *shader = static_cast<Shader *>(node);
-    if (shader->has_displacement && shader->get_displacement_method() != DISPLACE_BUMP) {
-      return true;
-    }
-  }
-
-  return false;
-}
-
-void Geometry::compute_bvh(
-    Device *device, DeviceScene *dscene, SceneParams *params, Progress *progress, int n, int total)
-{
-  if (progress->get_cancel())
-    return;
-
-  compute_bounds();
-
-  const BVHLayout bvh_layout = BVHParams::best_bvh_layout(params->bvh_layout,
-                                                          device->get_bvh_layout_mask());
-  if (need_build_bvh(bvh_layout)) {
-    string msg = "Updating Geometry BVH ";
-    if (name.empty())
-      msg += string_printf("%u/%u", (uint)(n + 1), (uint)total);
-    else
-      msg += string_printf("%s %u/%u", name.c_str(), (uint)(n + 1), (uint)total);
-
-    Object object;
-
-    /* Ensure all visibility bits are set at the geometry level BVH. In
-     * the object level BVH is where actual visibility is tested. */
-    object.set_is_shadow_catcher(true);
-    object.set_visibility(~0);
-
-    object.set_geometry(this);
-
-    vector<Geometry *> geometry;
-    geometry.push_back(this);
-    vector<Object *> objects;
-    objects.push_back(&object);
-
-    if (bvh && !need_update_rebuild) {
-      progress->set_status(msg, "Refitting BVH");
-
-      bvh->geometry = geometry;
-      bvh->objects = objects;
-
-      device->build_bvh(bvh, *progress, true);
-    }
-    else {
-      progress->set_status(msg, "Building BVH");
-
-      BVHParams bparams;
-      bparams.use_spatial_split = params->use_bvh_spatial_split;
-      bparams.bvh_layout = bvh_layout;
-      bparams.use_unaligned_nodes = dscene->data.bvh.have_curves &&
-                                    params->use_bvh_unaligned_nodes;
-      bparams.num_motion_triangle_steps = params->num_bvh_time_steps;
-      bparams.num_motion_curve_steps = params->num_bvh_time_steps;
-      bparams.bvh_type = params->bvh_type;
-      bparams.curve_subdivisions = params->curve_subdivisions();
-
-      delete bvh;
-      bvh = BVH::create(bparams, geometry, objects, device);
-      MEM_GUARDED_CALL(progress, device->build_bvh, bvh, *progress, false);
-    }
-  }
-
-  need_update_rebuild = false;
-  need_update_bvh_for_offset = false;
-}
-
-bool Geometry::has_motion_blur() const
-{
-  return (use_motion_blur && attributes.find(ATTR_STD_MOTION_VERTEX_POSITION));
-}
-
-bool Geometry::has_voxel_attributes() const
-{
-  foreach (const Attribute &attr, attributes.attributes) {
-    if (attr.element == ATTR_ELEMENT_VOXEL) {
-      return true;
-    }
-  }
-
-  return false;
-}
-
-void Geometry::tag_update(Scene *scene, bool rebuild)
-{
-  if (rebuild) {
-    need_update_rebuild = true;
-    scene->light_manager->tag_update(scene, LightManager::MESH_NEED_REBUILD);
-  }
-  else {
-    foreach (Node *node, used_shaders) {
-      Shader *shader = static_cast<Shader *>(node);
-      if (shader->has_surface_emission) {
-        scene->light_manager->tag_update(scene, LightManager::EMISSIVE_MESH_MODIFIED);
-        break;
-      }
-    }
-  }
-
-  scene->geometry_manager->tag_update(scene, GeometryManager::GEOMETRY_MODIFIED);
-}
-
-void Geometry::tag_bvh_update(bool rebuild)
-{
-  tag_modified();
-
-  if (rebuild) {
-    need_update_rebuild = true;
-  }
-}
-
-/* Geometry Manager */
-
-GeometryManager::GeometryManager()
-{
-  update_flags = UPDATE_ALL;
-  need_flags_update = true;
-}
-
-GeometryManager::~GeometryManager()
-{
-}
-
-void GeometryManager::update_osl_attributes(Device *device,
-                                            Scene *scene,
-                                            vector<AttributeRequestSet> &geom_attributes)
-{
-#ifdef WITH_OSL
-  /* for OSL, a hash map is used to lookup the attribute by name. */
-  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
-
-  og->object_name_map.clear();
-  og->attribute_map.clear();
-  og->object_names.clear();
-
-  og->attribute_map.resize(scene->objects.size() * ATTR_PRIM_TYPES);
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    /* set object name to object index map */
-    Object *object = scene->objects[i];
-    og->object_name_map[object->name] = i;
-    og->object_names.push_back(object->name);
-
-    /* set object attributes */
-    foreach (ParamValue &attr, object->attributes) {
-      OSLGlobals::Attribute osl_attr;
-
-      osl_attr.type = attr.type();
-      osl_attr.desc.element = ATTR_ELEMENT_OBJECT;
-      osl_attr.value = attr;
-      osl_attr.desc.offset = 0;
-      osl_attr.desc.flags = 0;
-
-      og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_GEOMETRY][attr.name()] = osl_attr;
-      og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_SUBD][attr.name()] = osl_attr;
-    }
-
-    /* find geometry attributes */
-    size_t j = object->geometry->index;
-    assert(j < scene->geometry.size() && scene->geometry[j] == object->geometry);
-
-    AttributeRequestSet &attributes = geom_attributes[j];
-
-    /* set mesh attributes */
-    foreach (AttributeRequest &req, attributes.requests) {
-      OSLGlobals::Attribute osl_attr;
-
-      if (req.desc.element != ATTR_ELEMENT_NONE) {
-        osl_attr.desc = req.desc;
-
-        if (req.type == TypeDesc::TypeFloat)
-          osl_attr.type = TypeDesc::TypeFloat;
-        else if (req.type == TypeDesc::TypeMatrix)
-          osl_attr.type = TypeDesc::TypeMatrix;
-        else if (req.type == TypeFloat2)
-          osl_attr.type = TypeFloat2;
-        else if (req.type == TypeRGBA)
-          osl_attr.type = TypeRGBA;
-        else
-          osl_attr.type = TypeDesc::TypeColor;
-
-        if (req.std != ATTR_STD_NONE) {
-          /* if standard attribute, add lookup by geom: name convention */
-          ustring stdname(string("geom:") + string(Attribute::standard_name(req.std)));
-          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_GEOMETRY][stdname] = osl_attr;
-        }
-        else if (req.name != ustring()) {
-          /* add lookup by geometry attribute name */
-          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_GEOMETRY][req.name] = osl_attr;
-        }
-      }
-
-      if (req.subd_desc.element != ATTR_ELEMENT_NONE) {
-        osl_attr.desc = req.subd_desc;
-
-        if (req.subd_type == TypeDesc::TypeFloat)
-          osl_attr.type = TypeDesc::TypeFloat;
-        else if (req.subd_type == TypeDesc::TypeMatrix)
-          osl_attr.type = TypeDesc::TypeMatrix;
-        else if (req.subd_type == TypeFloat2)
-          osl_attr.type = TypeFloat2;
-        else if (req.subd_type == TypeRGBA)
-          osl_attr.type = TypeRGBA;
-        else
-          osl_attr.type = TypeDesc::TypeColor;
-
-        if (req.std != ATTR_STD_NONE) {
-          /* if standard attribute, add lookup by geom: name convention */
-          ustring stdname(string("geom:") + string(Attribute::standard_name(req.std)));
-          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_SUBD][stdname] = osl_attr;
-        }
-        else if (req.name != ustring()) {
-          /* add lookup by geometry attribute name */
-          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_SUBD][req.name] = osl_attr;
-        }
-      }
-    }
-  }
-#else
-  (void)device;
-  (void)scene;
-  (void)geom_attributes;
-#endif
-}
-
-/* Generate a normal attribute map entry from an attribute descriptor. */
-static void emit_attribute_map_entry(
-    uint4 *attr_map, int index, uint id, TypeDesc type, const AttributeDescriptor &desc)
-{
-  attr_map[index].x = id;
-  attr_map[index].y = desc.element;
-  attr_map[index].z = as_uint(desc.offset);
-
-  if (type == TypeDesc::TypeFloat)
-    attr_map[index].w = NODE_ATTR_FLOAT;
-  else if (type == TypeDesc::TypeMatrix)
-    attr_map[index].w = NODE_ATTR_MATRIX;
-  else if (type == TypeFloat2)
-    attr_map[index].w = NODE_ATTR_FLOAT2;
-  else if (type == TypeFloat4)
-    attr_map[index].w = NODE_ATTR_FLOAT4;
-  else if (type == TypeRGBA)
-    attr_map[index].w = NODE_ATTR_RGBA;
-  else
-    attr_map[index].w = NODE_ATTR_FLOAT3;
-
-  attr_map[index].w |= desc.flags << 8;
-}
-
-/* Generate an attribute map end marker, optionally including a link to another map.
- * Links are used to connect object attribute maps to mesh attribute maps. */
-static void emit_attribute_map_terminator(uint4 *attr_map, int index, bool chain, uint chain_link)
-{
-  for (int j = 0; j < ATTR_PRIM_TYPES; j++) {
-    attr_map[index + j].x = ATTR_STD_NONE;
-    attr_map[index + j].y = chain;                      /* link is valid flag */
-    attr_map[index + j].z = chain ? chain_link + j : 0; /* link to the correct sub-entry */
-    attr_map[index + j].w = 0;
-  }
-}
-
-/* Generate all necessary attribute map entries from the attribute request. */
-static void emit_attribute_mapping(
-    uint4 *attr_map, int index, Scene *scene, AttributeRequest &req, Geometry *geom)
-{
-  uint id;
-
-  if (req.std == ATTR_STD_NONE)
-    id = scene->shader_manager->get_attribute_id(req.name);
-  else
-    id = scene->shader_manager->get_attribute_id(req.std);
-
-  emit_attribute_map_entry(attr_map, index, id, req.type, req.desc);
-
-  if (geom->is_mesh()) {
-    Mesh *mesh = static_cast<Mesh *>(geom);
-    if (mesh->get_num_subd_faces()) {
-      emit_attribute_map_entry(attr_map, index + 1, id, req.subd_type, req.subd_desc);
-    }
-  }
-}
-
-void GeometryManager::update_svm_attributes(Device *,
-                                            DeviceScene *dscene,
-                                            Scene *scene,
-                                            vector<AttributeRequestSet> &geom_attributes,
-                                            vector<AttributeRequestSet> &object_attributes)
-{
-  /* for SVM, the attributes_map table is used to lookup the offset of an
-   * attribute, based on a unique shader attribute id. */
-
-  /* compute array stride */
-  int attr_map_size = 0;
-
-  for (size_t i = 0; i < scene->geometry.size(); i++) {
-    Geometry *geom = scene->geometry[i];
-    geom->attr_map_offset = attr_map_size;
-    attr_map_size += (geom_attributes[i].size() + 1) * ATTR_PRIM_TYPES;
-  }
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    Object *object = scene->objects[i];
-
-    /* only allocate a table for the object if it actually has attributes */
-    if (object_attributes[i].size() == 0) {
-      object->attr_map_offset = 0;
-    }
-    else {
-      object->attr_map_offset = attr_map_size;
-      attr_map_size += (object_attributes[i].size() + 1) * ATTR_PRIM_TYPES;
-    }
-  }
-
-  if (attr_map_size == 0)
-    return;
-
-  if (!dscene->attributes_map.need_realloc()) {
-    return;
-  }
-
-  /* create attribute map */
-  uint4 *attr_map = dscene->attributes_map.alloc(attr_map_size);
-  memset(attr_map, 0, dscene->attributes_map.size() * sizeof(uint));
-
-  for (size_t i = 0; i < scene->geometry.size(); i++) {
-    Geometry *geom = scene->geometry[i];
-    AttributeRequestSet &attributes = geom_attributes[i];
-
-    /* set geometry attributes */
-    int index = geom->attr_map_offset;
-
-    foreach (AttributeRequest &req, attributes.requests) {
-      emit_attribute_mapping(attr_map, index, scene, req, geom);
-      index += ATTR_PRIM_TYPES;
-    }
-
-    emit_attribute_map_terminator(attr_map, index, false, 0);
-  }
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    Object *object = scene->objects[i];
-    AttributeRequestSet &attributes = object_attributes[i];
-
-    /* set object attributes */
-    if (attributes.size() > 0) {
-      int index = object->attr_map_offset;
-
-      foreach (AttributeRequest &req, attributes.requests) {
-        emit_attribute_mapping(attr_map, index, scene, req, object->geometry);
-        index += ATTR_PRIM_TYPES;
-      }
-
-      emit_attribute_map_terminator(attr_map, index, true, object->geometry->attr_map_offset);
-    }
-  }
-
-  /* copy to device */
-  dscene->attributes_map.copy_to_device();
-}
-
-static void update_attribute_element_size(Geometry *geom,
-                                          Attribute *mattr,
-                                          AttributePrimitive prim,
-                                          size_t *attr_float_size,
-                                          size_t *attr_float2_size,
-                                          size_t *attr_float3_size,
-                                          size_t *attr_uchar4_size)
-{
-  if (mattr) {
-    size_t size = mattr->element_size(geom, prim);
-
-    if (mattr->element == ATTR_ELEMENT_VOXEL) {
-      /* pass */
-    }
-    else if (mattr->element == ATTR_ELEMENT_CORNER_BYTE) {
-      *attr_uchar4_size += size;
-    }
-    else if (mattr->type == TypeDesc::TypeFloat) {
-      *attr_float_size += size;
-    }
-    else if (mattr->type == TypeFloat2) {
-      *attr_float2_size += size;
-    }
-    else if (mattr->type == TypeDesc::TypeMatrix) {
-      *attr_float3_size += size * 4;
-    }
-    else {
-      *attr_float3_size += size;
-    }
-  }
-}
-
-void GeometryManager::update_attribute_element_offset(Geometry *geom,
-                                                      device_vector<float> &attr_float,
-                                                      size_t &attr_float_offset,
-                                                      device_vector<float2> &attr_float2,
-                                                      size_t &attr_float2_offset,
-                                                      device_vector<float4> &attr_float3,
-                                                      size_t &attr_float3_offset,
-                                                      device_vector<uchar4> &attr_uchar4,
-                                                      size_t &attr_uchar4_offset,
-                                                      Attribute *mattr,
-                                                      AttributePrimitive prim,
-                                                      TypeDesc &type,
-                                                      AttributeDescriptor &desc)
-{
-  if (mattr) {
-    /* store element and type */
-    desc.element = mattr->element;
-    desc.flags = mattr->flags;
-    type = mattr->type;
-
-    /* store attribute data in arrays */
-    size_t size = mattr->element_size(geom, prim);
-
-    AttributeElement &element = desc.element;
-    int &offset = desc.offset;
-
-    if (mattr->element == ATTR_ELEMENT_VOXEL) {
-      /* store slot in offset value */
-      ImageHandle &handle = mattr->data_voxel();
-      offset = handle.svm_slot();
-    }
-    else if (mattr->element == ATTR_ELEMENT_CORNER_BYTE) {
-      uchar4 *data = mattr->data_uchar4();
-      offset = attr_uchar4_offset;
-
-      assert(attr_uchar4.size() >= offset + size);
-      if (mattr->modified) {
-        for (size_t k = 0; k < size; k++) {
-          attr_uchar4[offset + k] = data[k];
-        }
-      }
-      attr_uchar4_offset += size;
-    }
-    else if (mattr->type == TypeDesc::TypeFloat) {
-      float *data = mattr->data_float();
-      offset = attr_float_offset;
-
-      assert(attr_float.size() >= offset + size);
-      if (mattr->modified) {
-        for (size_t k = 0; k < size; k++) {
-          attr_float[offset + k] = data[k];
-        }
-      }
-      attr_float_offset += size;
-    }
-    else if (mattr->type == TypeFloat2) {
-      float2 *data = mattr->data_float2();
-      offset = attr_float2_offset;
-
-      assert(attr_float2.size() >= offset + size);
-      if (mattr->modified) {
-        for (size_t k = 0; k < size; k++) {
-          attr_float2[offset + k] = data[k];
-        }
-      }
-      attr_float2_offset += size;
-    }
-    else if (mattr->type == TypeDesc::TypeMatrix) {
-      Transform *tfm = mattr->data_transform();
-      offset = attr_float3_offset;
-
-      assert(attr_float3.size() >= offset + size * 3);
-      if (mattr->modified) {
-        for (size_t k = 0; k < size * 3; k++) {
-          attr_float3[offset + k] = (&tfm->x)[k];
-        }
-      }
-      attr_float3_offset += size * 3;
-    }
-    else {
-      float4 *data = mattr->data_float4();
-      offset = attr_float3_offset;
-
-      assert(attr_float3.size() >= offset + size);
-      if (mattr->modified) {
-        for (size_t k = 0; k < size; k++) {
-          attr_float3[offset + k] = data[k];
-        }
-      }
-      attr_float3_offset += size;
-    }
-
-    /* mesh vertex/curve index is global, not per object, so we sneak
-     * a correction for that in here */
-    if (geom->is_mesh()) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-      if (mesh->subdivision_type == Mesh::SUBDIVISION_CATMULL_CLARK &&
-          desc.flags & ATTR_SUBDIVIDED) {
-        /* Indices for subdivided attributes are retrieved
-         * from patch table so no need for correction here. */
-      }
-      else if (element == ATTR_ELEMENT_VERTEX)
-        offset -= mesh->vert_offset;
-      else if (element == ATTR_ELEMENT_VERTEX_MOTION)
-        offset -= mesh->vert_offset;
-      else if (element == ATTR_ELEMENT_FACE) {
-        if (prim == ATTR_PRIM_GEOMETRY)
-          offset -= mesh->prim_offset;
-        else
-          offset -= mesh->face_offset;
-      }
-      else if (element == ATTR_ELEMENT_CORNER || element == ATTR_ELEMENT_CORNER_BYTE) {
-        if (prim == ATTR_PRIM_GEOMETRY)
-          offset -= 3 * mesh->prim_offset;
-        else
-          offset -= mesh->corner_offset;
-      }
-    }
-    else if (geom->is_hair()) {
-      Hair *hair = static_cast<Hair *>(geom);
-      if (element == ATTR_ELEMENT_CURVE)
-        offset -= hair->prim_offset;
-      else if (element == ATTR_ELEMENT_CURVE_KEY)
-        offset -= hair->curve_key_offset;
-      else if (element == ATTR_ELEMENT_CURVE_KEY_MOTION)
-        offset -= hair->curve_key_offset;
-    }
-  }
-  else {
-    /* attribute not found */
-    desc.element = ATTR_ELEMENT_NONE;
-    desc.offset = 0;
-  }
-}
-
-void GeometryManager::device_update_attributes(Device *device,
-                                               DeviceScene *dscene,
-                                               Scene *scene,
-                                               Progress &progress)
-{
-  progress.set_status("Updating Mesh", "Computing attributes");
-
-  /* gather per mesh requested attributes. as meshes may have multiple
-   * shaders assigned, this merges the requested attributes that have
-   * been set per shader by the shader manager */
-  vector<AttributeRequestSet> geom_attributes(scene->geometry.size());
-
-  for (size_t i = 0; i < scene->geometry.size(); i++) {
-    Geometry *geom = scene->geometry[i];
-
-    geom->index = i;
-    scene->need_global_attributes(geom_attributes[i]);
-
-    foreach (Node *node, geom->get_used_shaders()) {
-      Shader *shader = static_cast<Shader *>(node);
-      geom_attributes[i].add(shader->attributes);
-    }
-
-    if (geom->is_hair() && static_cast<Hair *>(geom)->need_shadow_transparency()) {
-      geom_attributes[i].add(ATTR_STD_SHADOW_TRANSPARENCY);
-    }
-  }
-
-  /* convert object attributes to use the same data structures as geometry ones */
-  vector<AttributeRequestSet> object_attributes(scene->objects.size());
-  vector<AttributeSet> object_attribute_values;
-
-  object_attribute_values.reserve(scene->objects.size());
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    Object *object = scene->objects[i];
-    Geometry *geom = object->geometry;
-    size_t geom_idx = geom->index;
-
-    assert(geom_idx < scene->geometry.size() && scene->geometry[geom_idx] == geom);
-
-    object_attribute_values.push_back(AttributeSet(geom, ATTR_PRIM_GEOMETRY));
-
-    AttributeRequestSet &geom_requests = geom_attributes[geom_idx];
-    AttributeRequestSet &attributes = object_attributes[i];
-    AttributeSet &values = object_attribute_values[i];
-
-    for (size_t j = 0; j < object->attributes.size(); j++) {
-      ParamValue &param = object->attributes[j];
-
-      /* add attributes that are requested and not already handled by the mesh */
-      if (geom_requests.find(param.name()) && !geom->attributes.find(param.name())) {
-        attributes.add(param.name());
-
-        Attribute *attr = values.add(param.name(), param.type(), ATTR_ELEMENT_OBJECT);
-        assert(param.datasize() == attr->buffer.size());
-        memcpy(attr->buffer.data(), param.data(), param.datasize());
-      }
-    }
-  }
-
-  /* mesh attribute are stored in a single array per data type. here we fill
-   * those arrays, and set the offset and element type to create attribute
-   * maps next */
-
-  /* Pre-allocate attributes to avoid arrays re-allocation which would
-   * take 2x of overall attribute memory usage.
-   */
-  size_t attr_float_size = 0;
-  size_t attr_float2_size = 0;
-  size_t attr_float3_size = 0;
-  size_t attr_uchar4_size = 0;
-
-  for (size_t i = 0; i < scene->geometry.size(); i++) {
-    Geometry *geom = scene->geometry[i];
-    AttributeRequestSet &attributes = geom_attributes[i];
-    foreach (AttributeRequest &req, attributes.requests) {
-      Attribute *attr = geom->attributes.find(req);
-
-      update_attribute_element_size(geom,
-                                    attr,
-                                    ATTR_PRIM_GEOMETRY,
-                                    &attr_float_size,
-                                    &attr_float2_size,
-                                    &attr_float3_size,
-                                    &attr_uchar4_size);
-
-      if (geom->is_mesh()) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-        Attribute *subd_attr = mesh->subd_attributes.find(req);
-
-        update_attribute_element_size(mesh,
-                                      subd_attr,
-                                      ATTR_PRIM_SUBD,
-                                      &attr_float_size,
-                                      &attr_float2_size,
-                                      &attr_float3_size,
-                                      &attr_uchar4_size);
-      }
-    }
-  }
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    Object *object = scene->objects[i];
-
-    foreach (Attribute &attr, object_attribute_values[i].attributes) {
-      update_attribute_element_size(object->geometry,
-                                    &attr,
-                                    ATTR_PRIM_GEOMETRY,
-                                    &attr_float_size,
-                                    &attr_float2_size,
-                                    &attr_float3_size,
-                                    &attr_uchar4_size);
-    }
-  }
-
-  dscene->attributes_float.alloc(attr_float_size);
-  dscene->attributes_float2.alloc(attr_float2_size);
-  dscene->attributes_float3.alloc(attr_float3_size);
-  dscene->attributes_uchar4.alloc(attr_uchar4_size);
-
-  /* The order of those flags needs to match that of AttrKernelDataType. */
-  const bool attributes_need_realloc[4] = {
-      dscene->attributes_float.need_realloc(),
-      dscene->attributes_float2.need_realloc(),
-      dscene->attributes_float3.need_realloc(),
-      dscene->attributes_uchar4.need_realloc(),
-  };
-
-  size_t attr_float_offset = 0;
-  size_t attr_float2_offset = 0;
-  size_t attr_float3_offset = 0;
-  size_t attr_uchar4_offset = 0;
-
-  /* Fill in attributes. */
-  for (size_t i = 0; i < scene->geometry.size(); i++) {
-    Geometry *geom = scene->geometry[i];
-    AttributeRequestSet &attributes = geom_attributes[i];
-
-    /* todo: we now store std and name attributes from requests even if
-     * they actually refer to the same mesh attributes, optimize */
-    foreach (AttributeRequest &req, attributes.requests) {
-      Attribute *attr = geom->attributes.find(req);
-
-      if (attr) {
-        /* force a copy if we need to reallocate all the data */
-        attr->modified |= attributes_need_realloc[Attribute::kernel_type(*attr)];
-      }
-
-      update_attribute_element_offset(geom,
-                                      dscene->attributes_float,
-                                      attr_float_offset,
-                                      dscene->attributes_float2,
-                                      attr_float2_offset,
-                                      dscene->attributes_float3,
-                                      attr_float3_offset,
-                                      dscene->attributes_uchar4,
-                                      attr_uchar4_offset,
-                                      attr,
-                                      ATTR_PRIM_GEOMETRY,
-                                      req.type,
-                                      req.desc);
-
-      if (geom->is_mesh()) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-        Attribute *subd_attr = mesh->subd_attributes.find(req);
-
-        if (subd_attr) {
-          /* force a copy if we need to reallocate all the data */
-          subd_attr->modified |= attributes_need_realloc[Attribute::kernel_type(*subd_attr)];
-        }
-
-        update_attribute_element_offset(mesh,
-                                        dscene->attributes_float,
-                                        attr_float_offset,
-                                        dscene->attributes_float2,
-                                        attr_float2_offset,
-                                        dscene->attributes_float3,
-                                        attr_float3_offset,
-                                        dscene->attributes_uchar4,
-                                        attr_uchar4_offset,
-                                        subd_attr,
-                                        ATTR_PRIM_SUBD,
-                                        req.subd_type,
-                                        req.subd_desc);
-      }
-
-      if (progress.get_cancel())
-        return;
-    }
-  }
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    Object *object = scene->objects[i];
-    AttributeRequestSet &attributes = object_attributes[i];
-    AttributeSet &values = object_attribute_values[i];
-
-    foreach (AttributeRequest &req, attributes.requests) {
-      Attribute *attr = values.find(req);
-
-      if (attr) {
-        attr->modified |= attributes_need_realloc[Attribute::kernel_type(*attr)];
-      }
-
-      update_attribute_element_offset(object->geometry,
-                                      dscene->attributes_float,
-                                      attr_float_offset,
-                                      dscene->attributes_float2,
-                                      attr_float2_offset,
-                                      dscene->attributes_float3,
-                                      attr_float3_offset,
-                                      dscene->attributes_uchar4,
-                                      attr_uchar4_offset,
-                                      attr,
-                                      ATTR_PRIM_GEOMETRY,
-                                      req.type,
-                                      req.desc);
-
-      /* object attributes don't care about subdivision */
-      req.subd_type = req.type;
-      req.subd_desc = req.desc;
-
-      if (progress.get_cancel())
-        return;
-    }
-  }
-
-  /* create attribute lookup maps */
-  if (scene->shader_manager->use_osl())
-    update_osl_attributes(device, scene, geom_attributes);
-
-  update_svm_attributes(device, dscene, scene, geom_attributes, object_attributes);
-
-  if (progress.get_cancel())
-    return;
-
-  /* copy to device */
-  progress.set_status("Updating Mesh", "Copying Attributes to device");
-
-  dscene->attributes_float.copy_to_device_if_modified();
-  dscene->attributes_float2.copy_to_device_if_modified();
-  dscene->attributes_float3.copy_to_device_if_modified();
-  dscene->attributes_uchar4.copy_to_device_if_modified();
-
-  if (progress.get_cancel())
-    return;
-
-  /* After mesh attributes and patch tables have been copied to device memory,
-   * we need to update offsets in the objects. */
-  scene->object_manager->device_update_mesh_offsets(device, dscene, scene);
-}
-
-void GeometryManager::mesh_calc_offset(Scene *scene, BVHLayout bvh_layout)
-{
-  size_t vert_size = 0;
-  size_t tri_size = 0;
-
-  size_t curve_size = 0;
-  size_t curve_key_size = 0;
-  size_t curve_segment_size = 0;
-
-  size_t patch_size = 0;
-  size_t face_size = 0;
-  size_t corner_size = 0;
-
-  foreach (Geometry *geom, scene->geometry) {
-    bool prim_offset_changed = false;
-
-    if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-
-      prim_offset_changed = (mesh->prim_offset != tri_size);
-
-      mesh->vert_offset = vert_size;
-      mesh->prim_offset = tri_size;
-
-      mesh->patch_offset = patch_size;
-      mesh->face_offset = face_size;
-      mesh->corner_offset = corner_size;
-
-      vert_size += mesh->verts.size();
-      tri_size += mesh->num_triangles();
-
-      if (mesh->get_num_subd_faces()) {
-        Mesh::SubdFace last = mesh->get_subd_face(mesh->get_num_subd_faces() - 1);
-        patch_size += (last.ptex_offset + last.num_ptex_faces()) * 8;
-
-        /* patch tables are stored in same array so include them in patch_size */
-        if (mesh->patch_table) {
-          mesh->patch_table_offset = patch_size;
-          patch_size += mesh->patch_table->total_size();
-        }
-      }
-
-      face_size += mesh->get_num_subd_faces();
-      corner_size += mesh->subd_face_corners.size();
-    }
-    else if (geom->is_hair()) {
-      Hair *hair = static_cast<Hair *>(geom);
-
-      prim_offset_changed = (hair->curve_segment_offset != curve_segment_size);
-      hair->curve_key_offset = curve_key_size;
-      hair->curve_segment_offset = curve_segment_size;
-      hair->prim_offset = curve_size;
-
-      curve_size += hair->num_curves();
-      curve_key_size += hair->get_curve_keys().size();
-      curve_segment_size += hair->num_segments();
-    }
-
-    if (prim_offset_changed) {
-      /* Need to rebuild BVH in OptiX, since refit only allows modified mesh data there */
-      const bool has_optix_bvh = bvh_layout == BVH_LAYOUT_OPTIX ||
-                                 bvh_layout == BVH_LAYOUT_MULTI_OPTIX ||
-                                 bvh_layout == BVH_LAYOUT_MULTI_OPTIX_EMBREE;
-      geom->need_update_rebuild |= has_optix_bvh;
-      geom->need_update_bvh_for_offset = true;
-    }
-  }
-}
-
-void GeometryManager::device_update_mesh(Device *,
-                                         DeviceScene *dscene,
-                                         Scene *scene,
-                                         Progress &progress)
-{
-  /* Count. */
-  size_t vert_size = 0;
-  size_t tri_size = 0;
-
-  size_t curve_key_size = 0;
-  size_t curve_size = 0;
-  size_t curve_segment_size = 0;
-
-  size_t patch_size = 0;
-
-  foreach (Geometry *geom, scene->geometry) {
-    if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-
-      vert_size += mesh->verts.size();
-      tri_size += mesh->num_triangles();
-
-      if (mesh->get_num_subd_faces()) {
-        Mesh::SubdFace last = mesh->get_subd_face(mesh->get_num_subd_faces() - 1);
-        patch_size += (last.ptex_offset + last.num_ptex_faces()) * 8;
-
-        /* patch tables are stored in same array so include them in patch_size */
-        if (mesh->patch_table) {
-          mesh->patch_table_offset = patch_size;
-          patch_size += mesh->patch_table->total_size();
-        }
-      }
-    }
-    else if (geom->is_hair()) {
-      Hair *hair = static_cast<Hair *>(geom);
-
-      curve_key_size += hair->get_curve_keys().size();
-      curve_size += hair->num_curves();
-      curve_segment_size += hair->num_segments();
-    }
-  }
-
-  /* Fill in all the arrays. */
-  if (tri_size != 0) {
-    /* normals */
-    progress.set_status("Updating Mesh", "Computing normals");
-
-    float4 *tri_verts = dscene->tri_verts.alloc(tri_size * 3);
-    uint *tri_shader = dscene->tri_shader.alloc(tri_size);
-    float4 *vnormal = dscene->tri_vnormal.alloc(vert_size);
-    uint4 *tri_vindex = dscene->tri_vindex.alloc(tri_size);
-    uint *tri_patch = dscene->tri_patch.alloc(tri_size);
-    float2 *tri_patch_uv = dscene->tri_patch_uv.alloc(vert_size);
-
-    const bool copy_all_data = dscene->tri_shader.need_realloc() ||
-                               dscene->tri_vindex.need_realloc() ||
-                               dscene->tri_vnormal.need_realloc() ||
-                               dscene->tri_patch.need_realloc() ||
-                               dscene->tri_patch_uv.need_realloc();
-
-    foreach (Geometry *geom, scene->geometry) {
-      if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-
-        if (mesh->shader_is_modified() || mesh->smooth_is_modified() ||
-            mesh->triangles_is_modified() || copy_all_data) {
-          mesh->pack_shaders(scene, &tri_shader[mesh->prim_offset]);
-        }
-
-        if (mesh->verts_is_modified() || copy_all_data) {
-          mesh->pack_normals(&vnormal[mesh->vert_offset]);
-        }
-
-        if (mesh->verts_is_modified() || mesh->triangles_is_modified() ||
-            mesh->vert_patch_uv_is_modified() || copy_all_data) {
-          mesh->pack_verts(&tri_verts[mesh->prim_offset * 3],
-                           &tri_vindex[mesh->prim_offset],
-                           &tri_patch[mesh->prim_offset],
-                           &tri_patch_uv[mesh->vert_offset]);
-        }
-
-        if (progress.get_cancel())
-          return;
-      }
-    }
-
-    /* vertex coordinates */
-    progress.set_status("Updating Mesh", "Copying Mesh to device");
-
-    dscene->tri_verts.copy_to_device_if_modified();
-    dscene->tri_shader.copy_to_device_if_modified();
-    dscene->tri_vnormal.copy_to_device_if_modified();
-    dscene->tri_vindex.copy_to_device_if_modified();
-    dscene->tri_patch.copy_to_device_if_modified();
-    dscene->tri_patch_uv.copy_to_device_if_modified();
-  }
-
-  if (curve_segment_size != 0) {
-    progress.set_status("Updating Mesh", "Copying Curves to device");
-
-    float4 *curve_keys = dscene->curve_keys.alloc(curve_key_size);
-    KernelCurve *curves = dscene->curves.alloc(curve_size);
-    KernelCurveSegment *curve_segments = dscene->curve_segments.alloc(curve_segment_size);
-
-    const bool copy_all_data = dscene->curve_keys.need_realloc() ||
-                               dscene->curves.need_realloc() ||
-                               dscene->curve_segments.need_realloc();
-
-    foreach (Geometry *geom, scene->geometry) {
-      if (geom->is_hair()) {
-        Hair *hair = static_cast<Hair *>(geom);
-
-        bool curve_keys_co_modified = hair->curve_radius_is_modified() ||
-                                      hair->curve_keys_is_modified();
-        bool curve_data_modified = hair->curve_shader_is_modified() ||
-                                   hair->curve_first_key_is_modified();
-
-        if (!curve_keys_co_modified && !curve_data_modified && !copy_all_data) {
-          continue;
-        }
-
-        hair->pack_curves(scene,
-                          &curve_keys[hair->curve_key_offset],
-                          &curves[hair->prim_offset],
-                          &curve_segments[hair->curve_segment_offset]);
-        if (progress.get_cancel())
-          return;
-      }
-    }
-
-    dscene->curve_keys.copy_to_device_if_modified();
-    dscene->curves.copy_to_device_if_modified();
-    dscene->curve_segments.copy_to_device_if_modified();
-  }
-
-  if (patch_size != 0 && dscene->patches.need_realloc()) {
-    progress.set_status("Updating Mesh", "Copying Patches to device");
-
-    uint *patch_data = dscene->patches.alloc(patch_size);
-
-    foreach (Geometry *geom, scene->geometry) {
-      if (geom->is_mesh()) {
-        Mesh *mesh = static_cast<Mesh *>(geom);
-        mesh->pack_patches(&patch_data[mesh->patch_offset]);
-
-        if (mesh->patch_table) {
-          mesh->patch_table->copy_adjusting_offsets(&patch_data[mesh->patch_table_offset],
-                                                    mesh->patch_table_offset);
-        }
-
-        if (progress.get_cancel())
-          return;
-      }
-    }
-
-    dscene->patches.copy_to_device();
-  }
-}
-
-void GeometryManager::device_update_bvh(Device *device,
-                                        DeviceScene *dscene,
-                                        Scene *scene,
-                                        Progress &progress)
-{
-  /* bvh build */
-  progress.set_status("Updating Scene BVH", "Building");
-
-  BVHParams bparams;
-  bparams.top_level = true;
-  bparams.bvh_layout = BVHParams::best_bvh_layout(scene->params.bvh_layout,
-                                                  device->get_bvh_layout_mask());
-  bparams.use_spatial_split = scene->params.use_bvh_spatial_split;
-  bparams.use_unaligned_nodes = dscene->data.bvh.have_curves &&
-                                scene->params.use_bvh_unaligned_nodes;
-  bparams.num_motion_triangle_steps = scene->params.num_bvh_time_steps;
-  bparams.num_motion_curve_steps = scene->params.num_bvh_time_steps;
-  bparams.bvh_type = scene->params.bvh_type;
-  bparams.curve_subdivisions = scene->params.curve_subdivisions();
-
-  VLOG(1) << "Using " << bvh_layout_name(bparams.bvh_layout) << " layout.";
-
-  const bool can_refit = scene->bvh != nullptr &&
-                         (bparams.bvh_layout == BVHLayout::BVH_LAYOUT_OPTIX);
-
-  BVH *bvh = scene->bvh;
-  if (!scene->bvh) {
-    bvh = scene->bvh = BVH::create(bparams, scene->geometry, scene->objects, device);
-  }
-
-  device->build_bvh(bvh, progress, can_refit);
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  const bool has_bvh2_layout = (bparams.bvh_layout == BVH_LAYOUT_BVH2);
-
-  PackedBVH pack;
-  if (has_bvh2_layout) {
-    pack = std::move(static_cast<BVH2 *>(bvh)->pack);
-  }
-  else {
-    pack.root_index = -1;
-  }
-
-  /* copy to device */
-  progress.set_status("Updating Scene BVH", "Copying BVH to device");
-
-  /* When using BVH2, we always have to copy/update the data as its layout is dependent on the
-   * BVH's leaf nodes which may be different when the objects or vertices move. */
-
-  if (pack.nodes.size()) {
-    dscene->bvh_nodes.steal_data(pack.nodes);
-    dscene->bvh_nodes.copy_to_device();
-  }
-  if (pack.leaf_nodes.size()) {
-    dscene->bvh_leaf_nodes.steal_data(pack.leaf_nodes);
-    dscene->bvh_leaf_nodes.copy_to_device();
-  }
-  if (pack.object_node.size()) {
-    dscene->object_node.steal_data(pack.object_node);
-    dscene->object_node.copy_to_device();
-  }
-  if (pack.prim_type.size()) {
-    dscene->prim_type.steal_data(pack.prim_type);
-    dscene->prim_type.copy_to_device();
-  }
-  if (pack.prim_visibility.size()) {
-    dscene->prim_visibility.steal_data(pack.prim_visibility);
-    dscene->prim_visibility.copy_to_device();
-  }
-  if (pack.prim_index.size()) {
-    dscene->prim_index.steal_data(pack.prim_index);
-    dscene->prim_index.copy_to_device();
-  }
-  if (pack.prim_object.size()) {
-    dscene->prim_object.steal_data(pack.prim_object);
-    dscene->prim_object.copy_to_device();
-  }
-  if (pack.prim_time.size()) {
-    dscene->prim_time.steal_data(pack.prim_time);
-    dscene->prim_time.copy_to_device();
-  }
-
-  dscene->data.bvh.root = pack.root_index;
-  dscene->data.bvh.use_bvh_steps = (scene->params.num_bvh_time_steps != 0);
-  dscene->data.bvh.curve_subdivisions = scene->params.curve_subdivisions();
-  /* The scene handle is set in 'CPUDevice::const_copy_to' and 'OptiXDevice::const_copy_to' */
-  dscene->data.bvh.scene = 0;
-}
-
-/* Set of flags used to help determining what data has been modified or needs reallocation, so we
- * can decide which device data to free or update. */
-enum {
-  DEVICE_CURVE_DATA_MODIFIED = (1 << 0),
-  DEVICE_MESH_DATA_MODIFIED = (1 << 1),
-
-  ATTR_FLOAT_MODIFIED = (1 << 2),
-  ATTR_FLOAT2_MODIFIED = (1 << 3),
-  ATTR_FLOAT3_MODIFIED = (1 << 4),
-  ATTR_UCHAR4_MODIFIED = (1 << 5),
-
-  CURVE_DATA_NEED_REALLOC = (1 << 6),
-  MESH_DATA_NEED_REALLOC = (1 << 7),
-
-  ATTR_FLOAT_NEEDS_REALLOC = (1 << 8),
-  ATTR_FLOAT2_NEEDS_REALLOC = (1 << 9),
-  ATTR_FLOAT3_NEEDS_REALLOC = (1 << 10),
-  ATTR_UCHAR4_NEEDS_REALLOC = (1 << 11),
-
-  ATTRS_NEED_REALLOC = (ATTR_FLOAT_NEEDS_REALLOC | ATTR_FLOAT2_NEEDS_REALLOC |
-                        ATTR_FLOAT3_NEEDS_REALLOC | ATTR_UCHAR4_NEEDS_REALLOC),
-  DEVICE_MESH_DATA_NEEDS_REALLOC = (MESH_DATA_NEED_REALLOC | ATTRS_NEED_REALLOC),
-  DEVICE_CURVE_DATA_NEEDS_REALLOC = (CURVE_DATA_NEED_REALLOC | ATTRS_NEED_REALLOC),
-};
-
-static void update_device_flags_attribute(uint32_t &device_update_flags,
-                                          const AttributeSet &attributes)
-{
-  foreach (const Attribute &attr, attributes.attributes) {
-    if (!attr.modified) {
-      continue;
-    }
-
-    AttrKernelDataType kernel_type = Attribute::kernel_type(attr);
-
-    switch (kernel_type) {
-      case AttrKernelDataType::FLOAT: {
-        device_update_flags |= ATTR_FLOAT_MODIFIED;
-        break;
-      }
-      case AttrKernelDataType::FLOAT2: {
-        device_update_flags |= ATTR_FLOAT2_MODIFIED;
-        break;
-      }
-      case AttrKernelDataType::FLOAT3: {
-        device_update_flags |= ATTR_FLOAT3_MODIFIED;
-        break;
-      }
-      case AttrKernelDataType::UCHAR4: {
-        device_update_flags |= ATTR_UCHAR4_MODIFIED;
-        break;
-      }
-    }
-  }
-}
-
-static void update_attribute_realloc_flags(uint32_t &device_update_flags,
-                                           const AttributeSet &attributes)
-{
-  if (attributes.modified(AttrKernelDataType::FLOAT)) {
-    device_update_flags |= ATTR_FLOAT_NEEDS_REALLOC;
-  }
-  if (attributes.modified(AttrKernelDataType::FLOAT2)) {
-    device_update_flags |= ATTR_FLOAT2_NEEDS_REALLOC;
-  }
-  if (attributes.modified(AttrKernelDataType::FLOAT3)) {
-    device_update_flags |= ATTR_FLOAT3_NEEDS_REALLOC;
-  }
-  if (attributes.modified(AttrKernelDataType::UCHAR4)) {
-    device_update_flags |= ATTR_UCHAR4_NEEDS_REALLOC;
-  }
-}
-
-void GeometryManager::device_update_preprocess(Device *device, Scene *scene, Progress &progress)
-{
-  if (!need_update() && !need_flags_update) {
-    return;
-  }
-
-  uint32_t device_update_flags = 0;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->geometry.times.add_entry({"device_update_preprocess", time});
-    }
-  });
-
-  progress.set_status("Updating Meshes Flags");
-
-  /* Update flags. */
-  bool volume_images_updated = false;
-
-  foreach (Geometry *geom, scene->geometry) {
-    geom->has_volume = false;
-
-    update_attribute_realloc_flags(device_update_flags, geom->attributes);
-
-    if (geom->is_mesh()) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-      update_attribute_realloc_flags(device_update_flags, mesh->subd_attributes);
-    }
-
-    foreach (Node *node, geom->get_used_shaders()) {
-      Shader *shader = static_cast<Shader *>(node);
-      if (shader->has_volume) {
-        geom->has_volume = true;
-      }
-
-      if (shader->has_surface_bssrdf) {
-        geom->has_surface_bssrdf = true;
-      }
-
-      if (shader->need_update_uvs) {
-        device_update_flags |= ATTR_FLOAT2_NEEDS_REALLOC;
-
-        /* Attributes might need to be tessellated if added. */
-        if (geom->is_mesh()) {
-          Mesh *mesh = static_cast<Mesh *>(geom);
-          if (mesh->need_tesselation()) {
-            mesh->tag_modified();
-          }
-        }
-      }
-
-      if (shader->need_update_attribute) {
-        device_update_flags |= ATTRS_NEED_REALLOC;
-
-        /* Attributes might need to be tessellated if added. */
-        if (geom->is_mesh()) {
-          Mesh *mesh = static_cast<Mesh *>(geom);
-          if (mesh->need_tesselation()) {
-            mesh->tag_modified();
-          }
-        }
-      }
-
-      if (shader->need_update_displacement) {
-        /* tag displacement related sockets as modified */
-        if (geom->is_mesh()) {
-          Mesh *mesh = static_cast<Mesh *>(geom);
-          mesh->tag_verts_modified();
-          mesh->tag_subd_dicing_rate_modified();
-          mesh->tag_subd_max_level_modified();
-          mesh->tag_subd_objecttoworld_modified();
-
-          device_update_flags |= ATTRS_NEED_REALLOC;
-        }
-      }
-    }
-
-    /* only check for modified attributes if we do not need to reallocate them already */
-    if ((device_update_flags & ATTRS_NEED_REALLOC) == 0) {
-      update_device_flags_attribute(device_update_flags, geom->attributes);
-      /* don't check for subd_attributes, as if they were modified, we would need to reallocate
-       * anyway */
-    }
-
-    /* Re-create volume mesh if we will rebuild or refit the BVH. Note we
-     * should only do it in that case, otherwise the BVH and mesh can go
-     * out of sync. */
-    if (geom->is_modified() && geom->geometry_type == Geometry::VOLUME) {
-      /* Create volume meshes if there is voxel data. */
-      if (!volume_images_updated) {
-        progress.set_status("Updating Meshes Volume Bounds");
-        device_update_volume_images(device, scene, progress);
-        volume_images_updated = true;
-      }
-
-      Volume *volume = static_cast<Volume *>(geom);
-      create_volume_mesh(volume, progress);
-
-      /* always reallocate when we have a volume, as we need to rebuild the BVH */
-      device_update_flags |= DEVICE_MESH_DATA_NEEDS_REALLOC;
-    }
-
-    if (geom->is_hair()) {
-      /* Set curve shape, still a global scene setting for now. */
-      Hair *hair = static_cast<Hair *>(geom);
-      hair->curve_shape = scene->params.hair_shape;
-
-      if (hair->need_update_rebuild) {
-        device_update_flags |= DEVICE_CURVE_DATA_NEEDS_REALLOC;
-      }
-      else if (hair->is_modified()) {
-        device_update_flags |= DEVICE_CURVE_DATA_MODIFIED;
-      }
-    }
-
-    if (geom->is_mesh()) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-
-      if (mesh->need_update_rebuild) {
-        device_update_flags |= DEVICE_MESH_DATA_NEEDS_REALLOC;
-      }
-      else if (mesh->is_modified()) {
-        device_update_flags |= DEVICE_MESH_DATA_MODIFIED;
-      }
-    }
-  }
-
-  if (update_flags & (MESH_ADDED | MESH_REMOVED)) {
-    device_update_flags |= DEVICE_MESH_DATA_NEEDS_REALLOC;
-  }
-
-  if (update_flags & (HAIR_ADDED | HAIR_REMOVED)) {
-    device_update_flags |= DEVICE_CURVE_DATA_NEEDS_REALLOC;
-  }
-
-  /* tag the device arrays for reallocation or modification */
-  DeviceScene *dscene = &scene->dscene;
-
-  if (device_update_flags & (DEVICE_MESH_DATA_NEEDS_REALLOC | DEVICE_CURVE_DATA_NEEDS_REALLOC)) {
-    delete scene->bvh;
-    scene->bvh = nullptr;
-
-    dscene->bvh_nodes.tag_realloc();
-    dscene->bvh_leaf_nodes.tag_realloc();
-    dscene->object_node.tag_realloc();
-    dscene->prim_type.tag_realloc();
-    dscene->prim_visibility.tag_realloc();
-    dscene->prim_index.tag_realloc();
-    dscene->prim_object.tag_realloc();
-    dscene->prim_time.tag_realloc();
-
-    if (device_update_flags & DEVICE_MESH_DATA_NEEDS_REALLOC) {
-      dscene->tri_verts.tag_realloc();
-      dscene->tri_vnormal.tag_realloc();
-      dscene->tri_vindex.tag_realloc();
-      dscene->tri_patch.tag_realloc();
-      dscene->tri_patch_uv.tag_realloc();
-      dscene->tri_shader.tag_realloc();
-      dscene->patches.tag_realloc();
-    }
-
-    if (device_update_flags & DEVICE_CURVE_DATA_NEEDS_REALLOC) {
-      dscene->curves.tag_realloc();
-      dscene->curve_keys.tag_realloc();
-      dscene->curve_segments.tag_realloc();
-    }
-  }
-
-  if ((update_flags & VISIBILITY_MODIFIED) != 0) {
-    dscene->prim_visibility.tag_modified();
-  }
-
-  if (device_update_flags & ATTR_FLOAT_NEEDS_REALLOC) {
-    dscene->attributes_map.tag_realloc();
-    dscene->attributes_float.tag_realloc();
-  }
-  else if (device_update_flags & ATTR_FLOAT_MODIFIED) {
-    dscene->attributes_float.tag_modified();
-  }
-
-  if (device_update_flags & ATTR_FLOAT2_NEEDS_REALLOC) {
-    dscene->attributes_map.tag_realloc();
-    dscene->attributes_float2.tag_realloc();
-  }
-  else if (device_update_flags & ATTR_FLOAT2_MODIFIED) {
-    dscene->attributes_float2.tag_modified();
-  }
-
-  if (device_update_flags & ATTR_FLOAT3_NEEDS_REALLOC) {
-    dscene->attributes_map.tag_realloc();
-    dscene->attributes_float3.tag_realloc();
-  }
-  else if (device_update_flags & ATTR_FLOAT3_MODIFIED) {
-    dscene->attributes_float3.tag_modified();
-  }
-
-  if (device_update_flags & ATTR_UCHAR4_NEEDS_REALLOC) {
-    dscene->attributes_map.tag_realloc();
-    dscene->attributes_uchar4.tag_realloc();
-  }
-  else if (device_update_flags & ATTR_UCHAR4_MODIFIED) {
-    dscene->attributes_uchar4.tag_modified();
-  }
-
-  if (device_update_flags & DEVICE_MESH_DATA_MODIFIED) {
-    /* if anything else than vertices or shaders are modified, we would need to reallocate, so
-     * these are the only arrays that can be updated */
-    dscene->tri_verts.tag_modified();
-    dscene->tri_vnormal.tag_modified();
-    dscene->tri_shader.tag_modified();
-  }
-
-  if (device_update_flags & DEVICE_CURVE_DATA_MODIFIED) {
-    dscene->curve_keys.tag_modified();
-    dscene->curves.tag_modified();
-    dscene->curve_segments.tag_modified();
-  }
-
-  need_flags_update = false;
-}
-
-void GeometryManager::device_update_displacement_images(Device *device,
-                                                        Scene *scene,
-                                                        Progress &progress)
-{
-  progress.set_status("Updating Displacement Images");
-  TaskPool pool;
-  ImageManager *image_manager = scene->image_manager;
-  set<int> bump_images;
-  foreach (Geometry *geom, scene->geometry) {
-    if (geom->is_modified()) {
-      foreach (Node *node, geom->get_used_shaders()) {
-        Shader *shader = static_cast<Shader *>(node);
-        if (!shader->has_displacement || shader->get_displacement_method() == DISPLACE_BUMP) {
-          continue;
-        }
-        foreach (ShaderNode *node, shader->graph->nodes) {
-          if (node->special_type != SHADER_SPECIAL_TYPE_IMAGE_SLOT) {
-            continue;
-          }
-
-          ImageSlotTextureNode *image_node = static_cast<ImageSlotTextureNode *>(node);
-          for (int i = 0; i < image_node->handle.num_tiles(); i++) {
-            const int slot = image_node->handle.svm_slot(i);
-            if (slot != -1) {
-              bump_images.insert(slot);
-            }
-          }
-        }
-      }
-    }
-  }
-  foreach (int slot, bump_images) {
-    pool.push(function_bind(
-        &ImageManager::device_update_slot, image_manager, device, scene, slot, &progress));
-  }
-  pool.wait_work();
-}
-
-void GeometryManager::device_update_volume_images(Device *device, Scene *scene, Progress &progress)
-{
-  progress.set_status("Updating Volume Images");
-  TaskPool pool;
-  ImageManager *image_manager = scene->image_manager;
-  set<int> volume_images;
-
-  foreach (Geometry *geom, scene->geometry) {
-    if (!geom->is_modified()) {
-      continue;
-    }
-
-    foreach (Attribute &attr, geom->attributes.attributes) {
-      if (attr.element != ATTR_ELEMENT_VOXEL) {
-        continue;
-      }
-
-      ImageHandle &handle = attr.data_voxel();
-      /* We can build directly from OpenVDB data structures, no need to
-       * load such images early. */
-      if (!handle.vdb_loader()) {
-        const int slot = handle.svm_slot();
-        if (slot != -1) {
-          volume_images.insert(slot);
-        }
-      }
-    }
-  }
-
-  foreach (int slot, volume_images) {
-    pool.push(function_bind(
-        &ImageManager::device_update_slot, image_manager, device, scene, slot, &progress));
-  }
-  pool.wait_work();
-}
-
-void GeometryManager::device_update(Device *device,
-                                    DeviceScene *dscene,
-                                    Scene *scene,
-                                    Progress &progress)
-{
-  if (!need_update())
-    return;
-
-  VLOG(1) << "Total " << scene->geometry.size() << " meshes.";
-
-  bool true_displacement_used = false;
-  bool curve_shadow_transparency_used = false;
-  size_t total_tess_needed = 0;
-
-  {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry({"device_update (normals)", time});
-      }
-    });
-
-    foreach (Geometry *geom, scene->geometry) {
-      if (geom->is_modified()) {
-        if ((geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME)) {
-          Mesh *mesh = static_cast<Mesh *>(geom);
-
-          /* Update normals. */
-          mesh->add_face_normals();
-          mesh->add_vertex_normals();
-
-          if (mesh->need_attribute(scene, ATTR_STD_POSITION_UNDISPLACED)) {
-            mesh->add_undisplaced();
-          }
-
-          /* Test if we need tessellation. */
-          if (mesh->need_tesselation()) {
-            total_tess_needed++;
-          }
-
-          /* Test if we need displacement. */
-          if (mesh->has_true_displacement()) {
-            true_displacement_used = true;
-          }
-        }
-        else if (geom->geometry_type == Geometry::HAIR) {
-          Hair *hair = static_cast<Hair *>(geom);
-          if (hair->need_shadow_transparency()) {
-            curve_shadow_transparency_used = true;
-          }
-        }
-
-        if (progress.get_cancel()) {
-          return;
-        }
-      }
-    }
-  }
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  /* Tessellate meshes that are using subdivision */
-  if (total_tess_needed) {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry(
-            {"device_update (adaptive subdivision)", time});
-      }
-    });
-
-    Camera *dicing_camera = scene->dicing_camera;
-    dicing_camera->set_screen_size(dicing_camera->get_full_width(),
-                                   dicing_camera->get_full_height());
-    dicing_camera->update(scene);
-
-    size_t i = 0;
-    foreach (Geometry *geom, scene->geometry) {
-      if (!(geom->is_modified() && geom->is_mesh())) {
-        continue;
-      }
-
-      Mesh *mesh = static_cast<Mesh *>(geom);
-      if (mesh->need_tesselation()) {
-        string msg = "Tessellating ";
-        if (mesh->name == "")
-          msg += string_printf("%u/%u", (uint)(i + 1), (uint)total_tess_needed);
-        else
-          msg += string_printf(
-              "%s %u/%u", mesh->name.c_str(), (uint)(i + 1), (uint)total_tess_needed);
-
-        progress.set_status("Updating Mesh", msg);
-
-        mesh->subd_params->camera = dicing_camera;
-        DiagSplit dsplit(*mesh->subd_params);
-        mesh->tessellate(&dsplit);
-
-        i++;
-
-        if (progress.get_cancel()) {
-          return;
-        }
-      }
-    }
-
-    if (progress.get_cancel()) {
-      return;
-    }
-  }
-
-  /* Update images needed for true displacement. */
-  bool old_need_object_flags_update = false;
-  if (true_displacement_used || curve_shadow_transparency_used) {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry(
-            {"device_update (displacement: load images)", time});
-      }
-    });
-    device_update_displacement_images(device, scene, progress);
-    old_need_object_flags_update = scene->object_manager->need_flags_update;
-    scene->object_manager->device_update_flags(device, dscene, scene, progress, false);
-  }
-
-  /* Device update. */
-  device_free(device, dscene, false);
-
-  const BVHLayout bvh_layout = BVHParams::best_bvh_layout(scene->params.bvh_layout,
-                                                          device->get_bvh_layout_mask());
-  mesh_calc_offset(scene, bvh_layout);
-  if (true_displacement_used || curve_shadow_transparency_used) {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry(
-            {"device_update (displacement: copy meshes to device)", time});
-      }
-    });
-    device_update_mesh(device, dscene, scene, progress);
-  }
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry({"device_update (attributes)", time});
-      }
-    });
-    device_update_attributes(device, dscene, scene, progress);
-    if (progress.get_cancel()) {
-      return;
-    }
-  }
-
-  /* Update displacement and hair shadow transparency. */
-  bool displacement_done = false;
-  bool curve_shadow_transparency_done = false;
-  size_t num_bvh = 0;
-
-  {
-    /* Copy constant data needed by shader evaluation. */
-    device->const_copy_to("__data", &dscene->data, sizeof(dscene->data));
-
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry({"device_update (displacement)", time});
-      }
-    });
-
-    foreach (Geometry *geom, scene->geometry) {
-      if (geom->is_modified()) {
-        if (geom->is_mesh()) {
-          Mesh *mesh = static_cast<Mesh *>(geom);
-          if (displace(device, scene, mesh, progress)) {
-            displacement_done = true;
-          }
-        }
-        else if (geom->geometry_type == Geometry::HAIR) {
-          Hair *hair = static_cast<Hair *>(geom);
-          if (hair->update_shadow_transparency(device, scene, progress)) {
-            curve_shadow_transparency_done = true;
-          }
-        }
-      }
-
-      if (geom->is_modified() || geom->need_update_bvh_for_offset) {
-        if (geom->need_build_bvh(bvh_layout)) {
-          num_bvh++;
-        }
-      }
-
-      if (progress.get_cancel()) {
-        return;
-      }
-    }
-  }
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  /* Device re-update after displacement. */
-  if (displacement_done || curve_shadow_transparency_done) {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry(
-            {"device_update (displacement: attributes)", time});
-      }
-    });
-    device_free(device, dscene, false);
-
-    device_update_attributes(device, dscene, scene, progress);
-    if (progress.get_cancel()) {
-      return;
-    }
-  }
-
-  /* Update the BVH even when there is no geometry so the kernel's BVH data is still valid,
-   * especially when removing all of the objects during interactive renders.
-   * Also update the BVH if the transformations change, we cannot rely on tagging the Geometry
-   * as modified in this case, as we may accumulate displacement if the vertices do not also
-   * change. */
-  bool need_update_scene_bvh = (scene->bvh == nullptr ||
-                                (update_flags & (TRANSFORM_MODIFIED | VISIBILITY_MODIFIED)) != 0);
-  {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry({"device_update (build object BVHs)", time});
-      }
-    });
-    TaskPool pool;
-
-    size_t i = 0;
-    foreach (Geometry *geom, scene->geometry) {
-      if (geom->is_modified() || geom->need_update_bvh_for_offset) {
-        need_update_scene_bvh = true;
-        pool.push(function_bind(
-            &Geometry::compute_bvh, geom, device, dscene, &scene->params, &progress, i, num_bvh));
-        if (geom->need_build_bvh(bvh_layout)) {
-          i++;
-        }
-      }
-    }
-
-    TaskPool::Summary summary;
-    pool.wait_work(&summary);
-    VLOG(2) << "Objects BVH build pool statistics:\n" << summary.full_report();
-  }
-
-  foreach (Shader *shader, scene->shaders) {
-    shader->need_update_uvs = false;
-    shader->need_update_attribute = false;
-    shader->need_update_displacement = false;
-  }
-
-  Scene::MotionType need_motion = scene->need_motion();
-  bool motion_blur = need_motion == Scene::MOTION_BLUR;
-
-  /* Update objects. */
-  {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry({"device_update (compute bounds)", time});
-      }
-    });
-    foreach (Object *object, scene->objects) {
-      object->compute_bounds(motion_blur);
-    }
-  }
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  if (need_update_scene_bvh) {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry({"device_update (build scene BVH)", time});
-      }
-    });
-    device_update_bvh(device, dscene, scene, progress);
-    if (progress.get_cancel()) {
-      return;
-    }
-  }
-
-  /* Always set BVH layout again after displacement where it was set to none,
-   * to avoid ray-tracing at that stage. */
-  dscene->data.bvh.bvh_layout = BVHParams::best_bvh_layout(scene->params.bvh_layout,
-                                                           device->get_bvh_layout_mask());
-
-  {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->geometry.times.add_entry(
-            {"device_update (copy meshes to device)", time});
-      }
-    });
-    device_update_mesh(device, dscene, scene, progress);
-    if (progress.get_cancel()) {
-      return;
-    }
-  }
-
-  if (true_displacement_used) {
-    /* Re-tag flags for update, so they're re-evaluated
-     * for meshes with correct bounding boxes.
-     *
-     * This wouldn't cause wrong results, just true
-     * displacement might be less optimal to calculate.
-     */
-    scene->object_manager->need_flags_update = old_need_object_flags_update;
-  }
-
-  /* unset flags */
-
-  foreach (Geometry *geom, scene->geometry) {
-    geom->clear_modified();
-    geom->attributes.clear_modified();
-
-    if (geom->is_mesh()) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-      mesh->subd_attributes.clear_modified();
-    }
-  }
-
-  update_flags = UPDATE_NONE;
-
-  dscene->bvh_nodes.clear_modified();
-  dscene->bvh_leaf_nodes.clear_modified();
-  dscene->object_node.clear_modified();
-  dscene->prim_type.clear_modified();
-  dscene->prim_visibility.clear_modified();
-  dscene->prim_index.clear_modified();
-  dscene->prim_object.clear_modified();
-  dscene->prim_time.clear_modified();
-  dscene->tri_verts.clear_modified();
-  dscene->tri_shader.clear_modified();
-  dscene->tri_vindex.clear_modified();
-  dscene->tri_patch.clear_modified();
-  dscene->tri_vnormal.clear_modified();
-  dscene->tri_patch_uv.clear_modified();
-  dscene->curves.clear_modified();
-  dscene->curve_keys.clear_modified();
-  dscene->curve_segments.clear_modified();
-  dscene->patches.clear_modified();
-  dscene->attributes_map.clear_modified();
-  dscene->attributes_float.clear_modified();
-  dscene->attributes_float2.clear_modified();
-  dscene->attributes_float3.clear_modified();
-  dscene->attributes_uchar4.clear_modified();
-}
-
-void GeometryManager::device_free(Device *device, DeviceScene *dscene, bool force_free)
-{
-  dscene->bvh_nodes.free_if_need_realloc(force_free);
-  dscene->bvh_leaf_nodes.free_if_need_realloc(force_free);
-  dscene->object_node.free_if_need_realloc(force_free);
-  dscene->prim_type.free_if_need_realloc(force_free);
-  dscene->prim_visibility.free_if_need_realloc(force_free);
-  dscene->prim_index.free_if_need_realloc(force_free);
-  dscene->prim_object.free_if_need_realloc(force_free);
-  dscene->prim_time.free_if_need_realloc(force_free);
-  dscene->tri_verts.free_if_need_realloc(force_free);
-  dscene->tri_shader.free_if_need_realloc(force_free);
-  dscene->tri_vnormal.free_if_need_realloc(force_free);
-  dscene->tri_vindex.free_if_need_realloc(force_free);
-  dscene->tri_patch.free_if_need_realloc(force_free);
-  dscene->tri_patch_uv.free_if_need_realloc(force_free);
-  dscene->curves.free_if_need_realloc(force_free);
-  dscene->curve_keys.free_if_need_realloc(force_free);
-  dscene->curve_segments.free_if_need_realloc(force_free);
-  dscene->patches.free_if_need_realloc(force_free);
-  dscene->attributes_map.free_if_need_realloc(force_free);
-  dscene->attributes_float.free_if_need_realloc(force_free);
-  dscene->attributes_float2.free_if_need_realloc(force_free);
-  dscene->attributes_float3.free_if_need_realloc(force_free);
-  dscene->attributes_uchar4.free_if_need_realloc(force_free);
-
-  /* Signal for shaders like displacement not to do ray tracing. */
-  dscene->data.bvh.bvh_layout = BVH_LAYOUT_NONE;
-
-#ifdef WITH_OSL
-  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
-
-  if (og) {
-    og->object_name_map.clear();
-    og->attribute_map.clear();
-    og->object_names.clear();
-  }
-#else
-  (void)device;
-#endif
-}
-
-void GeometryManager::tag_update(Scene *scene, uint32_t flag)
-{
-  update_flags |= flag;
-
-  /* do not tag the object manager for an update if it is the one who tagged us */
-  if ((flag & OBJECT_MANAGER) == 0) {
-    scene->object_manager->tag_update(scene, ObjectManager::GEOMETRY_MANAGER);
-  }
-}
-
-bool GeometryManager::need_update() const
-{
-  return update_flags != UPDATE_NONE;
-}
-
-void GeometryManager::collect_statistics(const Scene *scene, RenderStats *stats)
-{
-  foreach (Geometry *geometry, scene->geometry) {
-    stats->mesh.geometry.add_entry(
-        NamedSizeEntry(string(geometry->name.c_str()), geometry->get_total_size_in_bytes()));
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/geometry.h b/intern/cycles/render/geometry.h
deleted file mode 100644
index 5c45754ad90..00000000000
--- a/intern/cycles/render/geometry.h
+++ /dev/null
@@ -1,272 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __GEOMETRY_H__
-#define __GEOMETRY_H__
-
-#include "graph/node.h"
-
-#include "bvh/bvh_params.h"
-
-#include "render/attribute.h"
-
-#include "util/util_boundbox.h"
-#include "util/util_set.h"
-#include "util/util_transform.h"
-#include "util/util_types.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class BVH;
-class Device;
-class DeviceScene;
-class Mesh;
-class Progress;
-class RenderStats;
-class Scene;
-class SceneParams;
-class Shader;
-class Volume;
-struct PackedBVH;
-
-/* Geometry
- *
- * Base class for geometric types like Mesh and Hair. */
-
-class Geometry : public Node {
- public:
-  NODE_ABSTRACT_DECLARE
-
-  enum Type {
-    MESH,
-    HAIR,
-    VOLUME,
-  };
-
-  Type geometry_type;
-
-  /* Attributes */
-  AttributeSet attributes;
-
-  /* Shaders */
-  NODE_SOCKET_API_ARRAY(array<Node *>, used_shaders)
-
-  /* Transform */
-  BoundBox bounds;
-  bool transform_applied;
-  bool transform_negative_scaled;
-  Transform transform_normal;
-
-  /* Motion Blur */
-  NODE_SOCKET_API(uint, motion_steps)
-  NODE_SOCKET_API(bool, use_motion_blur)
-
-  /* Maximum number of motion steps supported (due to Embree). */
-  static const uint MAX_MOTION_STEPS = 129;
-
-  /* BVH */
-  BVH *bvh;
-  size_t attr_map_offset;
-  size_t prim_offset;
-
-  /* Shader Properties */
-  bool has_volume;         /* Set in the device_update_flags(). */
-  bool has_surface_bssrdf; /* Set in the device_update_flags(). */
-
-  /* Update Flags */
-  bool need_update_rebuild;
-  bool need_update_bvh_for_offset;
-
-  /* Index into scene->geometry (only valid during update) */
-  size_t index;
-
-  /* Constructor/Destructor */
-  explicit Geometry(const NodeType *node_type, const Type type);
-  virtual ~Geometry();
-
-  /* Geometry */
-  virtual void clear(bool preserve_shaders = false);
-  virtual void compute_bounds() = 0;
-  virtual void apply_transform(const Transform &tfm, const bool apply_to_motion) = 0;
-
-  /* Attribute Requests */
-  bool need_attribute(Scene *scene, AttributeStandard std);
-  bool need_attribute(Scene *scene, ustring name);
-
-  AttributeRequestSet needed_attributes();
-
-  /* UDIM */
-  virtual void get_uv_tiles(ustring map, unordered_set<int> &tiles) = 0;
-
-  /* Convert between normalized -1..1 motion time and index in the
-   * VERTEX_MOTION attribute. */
-  float motion_time(int step) const;
-  int motion_step(float time) const;
-
-  /* BVH */
-  void compute_bvh(Device *device,
-                   DeviceScene *dscene,
-                   SceneParams *params,
-                   Progress *progress,
-                   int n,
-                   int total);
-
-  virtual PrimitiveType primitive_type() const = 0;
-
-  /* Check whether the geometry should have own BVH built separately. Briefly,
-   * own BVH is needed for geometry, if:
-   *
-   * - It is instanced multiple times, so each instance object should share the
-   *   same BVH tree.
-   * - Special ray intersection is needed, for example to limit subsurface rays
-   *   to only the geometry itself.
-   * - The BVH layout requires the top level to only contain instances.
-   */
-  bool need_build_bvh(BVHLayout layout) const;
-
-  /* Test if the geometry should be treated as instanced. */
-  bool is_instanced() const;
-
-  bool has_true_displacement() const;
-  bool has_motion_blur() const;
-  bool has_voxel_attributes() const;
-
-  bool is_mesh() const
-  {
-    return geometry_type == MESH;
-  }
-
-  bool is_hair() const
-  {
-    return geometry_type == HAIR;
-  }
-
-  bool is_volume() const
-  {
-    return geometry_type == VOLUME;
-  }
-
-  /* Updates */
-  void tag_update(Scene *scene, bool rebuild);
-
-  void tag_bvh_update(bool rebuild);
-};
-
-/* Geometry Manager */
-
-class GeometryManager {
-  uint32_t update_flags;
-
- public:
-  enum : uint32_t {
-    UV_PASS_NEEDED = (1 << 0),
-    MOTION_PASS_NEEDED = (1 << 1),
-    GEOMETRY_MODIFIED = (1 << 2),
-    OBJECT_MANAGER = (1 << 3),
-    MESH_ADDED = (1 << 4),
-    MESH_REMOVED = (1 << 5),
-    HAIR_ADDED = (1 << 6),
-    HAIR_REMOVED = (1 << 7),
-
-    SHADER_ATTRIBUTE_MODIFIED = (1 << 8),
-    SHADER_DISPLACEMENT_MODIFIED = (1 << 9),
-
-    GEOMETRY_ADDED = MESH_ADDED | HAIR_ADDED,
-    GEOMETRY_REMOVED = MESH_REMOVED | HAIR_REMOVED,
-
-    TRANSFORM_MODIFIED = (1 << 10),
-
-    VISIBILITY_MODIFIED = (1 << 11),
-
-    /* tag everything in the manager for an update */
-    UPDATE_ALL = ~0u,
-
-    UPDATE_NONE = 0u,
-  };
-
-  /* Update Flags */
-  bool need_flags_update;
-
-  /* Constructor/Destructor */
-  GeometryManager();
-  ~GeometryManager();
-
-  /* Device Updates */
-  void device_update_preprocess(Device *device, Scene *scene, Progress &progress);
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-  void device_free(Device *device, DeviceScene *dscene, bool force_free);
-
-  /* Updates */
-  void tag_update(Scene *scene, uint32_t flag);
-
-  bool need_update() const;
-
-  /* Statistics */
-  void collect_statistics(const Scene *scene, RenderStats *stats);
-
- protected:
-  bool displace(Device *device, Scene *scene, Mesh *mesh, Progress &progress);
-
-  void create_volume_mesh(Volume *volume, Progress &progress);
-
-  /* Attributes */
-  void update_osl_attributes(Device *device,
-                             Scene *scene,
-                             vector<AttributeRequestSet> &geom_attributes);
-  void update_svm_attributes(Device *device,
-                             DeviceScene *dscene,
-                             Scene *scene,
-                             vector<AttributeRequestSet> &geom_attributes,
-                             vector<AttributeRequestSet> &object_attributes);
-
-  /* Compute verts/triangles/curves offsets in global arrays. */
-  void mesh_calc_offset(Scene *scene, BVHLayout bvh_layout);
-
-  void device_update_object(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-
-  void device_update_mesh(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-
-  void device_update_attributes(Device *device,
-                                DeviceScene *dscene,
-                                Scene *scene,
-                                Progress &progress);
-
-  void device_update_bvh(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-
-  void device_update_displacement_images(Device *device, Scene *scene, Progress &progress);
-
-  void device_update_volume_images(Device *device, Scene *scene, Progress &progress);
-
- private:
-  static void update_attribute_element_offset(Geometry *geom,
-                                              device_vector<float> &attr_float,
-                                              size_t &attr_float_offset,
-                                              device_vector<float2> &attr_float2,
-                                              size_t &attr_float2_offset,
-                                              device_vector<float4> &attr_float3,
-                                              size_t &attr_float3_offset,
-                                              device_vector<uchar4> &attr_uchar4,
-                                              size_t &attr_uchar4_offset,
-                                              Attribute *mattr,
-                                              AttributePrimitive prim,
-                                              TypeDesc &type,
-                                              AttributeDescriptor &desc);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __GEOMETRY_H__ */
diff --git a/intern/cycles/render/graph.cpp b/intern/cycles/render/graph.cpp
deleted file mode 100644
index ee1a6e68bcf..00000000000
--- a/intern/cycles/render/graph.cpp
+++ /dev/null
@@ -1,1239 +0,0 @@
-/*
- * Copyright 2011-2016 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/graph.h"
-#include "render/attribute.h"
-#include "render/constant_fold.h"
-#include "render/nodes.h"
-#include "render/scene.h"
-#include "render/shader.h"
-
-#include "util/util_algorithm.h"
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_md5.h"
-#include "util/util_queue.h"
-
-CCL_NAMESPACE_BEGIN
-
-namespace {
-
-bool check_node_inputs_has_links(const ShaderNode *node)
-{
-  foreach (const ShaderInput *in, node->inputs) {
-    if (in->link) {
-      return true;
-    }
-  }
-  return false;
-}
-
-bool check_node_inputs_traversed(const ShaderNode *node, const ShaderNodeSet &done)
-{
-  foreach (const ShaderInput *in, node->inputs) {
-    if (in->link) {
-      if (done.find(in->link->parent) == done.end()) {
-        return false;
-      }
-    }
-  }
-  return true;
-}
-
-} /* namespace */
-
-/* Sockets */
-
-void ShaderInput::disconnect()
-{
-  if (link) {
-    link->links.erase(remove(link->links.begin(), link->links.end(), this), link->links.end());
-  }
-  link = NULL;
-}
-
-void ShaderOutput::disconnect()
-{
-  foreach (ShaderInput *sock, links) {
-    sock->link = NULL;
-  }
-
-  links.clear();
-}
-
-/* Node */
-
-ShaderNode::ShaderNode(const NodeType *type) : Node(type)
-{
-  name = type->name;
-  id = -1;
-  bump = SHADER_BUMP_NONE;
-  special_type = SHADER_SPECIAL_TYPE_NONE;
-
-  create_inputs_outputs(type);
-}
-
-ShaderNode::~ShaderNode()
-{
-  foreach (ShaderInput *socket, inputs)
-    delete socket;
-
-  foreach (ShaderOutput *socket, outputs)
-    delete socket;
-}
-
-void ShaderNode::create_inputs_outputs(const NodeType *type)
-{
-  foreach (const SocketType &socket, type->inputs) {
-    if (socket.flags & SocketType::LINKABLE) {
-      inputs.push_back(new ShaderInput(socket, this));
-    }
-  }
-
-  foreach (const SocketType &socket, type->outputs) {
-    outputs.push_back(new ShaderOutput(socket, this));
-  }
-}
-
-ShaderInput *ShaderNode::input(const char *name)
-{
-  foreach (ShaderInput *socket, inputs) {
-    if (socket->name() == name)
-      return socket;
-  }
-
-  return NULL;
-}
-
-ShaderOutput *ShaderNode::output(const char *name)
-{
-  foreach (ShaderOutput *socket, outputs)
-    if (socket->name() == name)
-      return socket;
-
-  return NULL;
-}
-
-ShaderInput *ShaderNode::input(ustring name)
-{
-  foreach (ShaderInput *socket, inputs) {
-    if (socket->name() == name)
-      return socket;
-  }
-
-  return NULL;
-}
-
-ShaderOutput *ShaderNode::output(ustring name)
-{
-  foreach (ShaderOutput *socket, outputs)
-    if (socket->name() == name)
-      return socket;
-
-  return NULL;
-}
-
-void ShaderNode::remove_input(ShaderInput *input)
-{
-  assert(input->link == NULL);
-  delete input;
-  inputs.erase(remove(inputs.begin(), inputs.end(), input), inputs.end());
-}
-
-void ShaderNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  foreach (ShaderInput *input, inputs) {
-    if (!input->link) {
-      if (input->flags() & SocketType::LINK_TEXTURE_GENERATED) {
-        if (shader->has_surface_link())
-          attributes->add(ATTR_STD_GENERATED);
-        if (shader->has_volume)
-          attributes->add(ATTR_STD_GENERATED_TRANSFORM);
-      }
-      else if (input->flags() & SocketType::LINK_TEXTURE_UV) {
-        if (shader->has_surface_link())
-          attributes->add(ATTR_STD_UV);
-      }
-    }
-  }
-}
-
-bool ShaderNode::equals(const ShaderNode &other)
-{
-  if (type != other.type || bump != other.bump) {
-    return false;
-  }
-
-  assert(inputs.size() == other.inputs.size());
-
-  /* Compare unlinkable sockets */
-  foreach (const SocketType &socket, type->inputs) {
-    if (!(socket.flags & SocketType::LINKABLE)) {
-      if (!Node::equals_value(other, socket)) {
-        return false;
-      }
-    }
-  }
-
-  /* Compare linkable input sockets */
-  for (int i = 0; i < inputs.size(); ++i) {
-    ShaderInput *input_a = inputs[i], *input_b = other.inputs[i];
-    if (input_a->link == NULL && input_b->link == NULL) {
-      /* Unconnected inputs are expected to have the same value. */
-      if (!Node::equals_value(other, input_a->socket_type)) {
-        return false;
-      }
-    }
-    else if (input_a->link != NULL && input_b->link != NULL) {
-      /* Expect links are to come from the same exact socket. */
-      if (input_a->link != input_b->link) {
-        return false;
-      }
-    }
-    else {
-      /* One socket has a link and another has not, inputs can't be
-       * considered equal.
-       */
-      return false;
-    }
-  }
-
-  return true;
-}
-
-/* Graph */
-
-ShaderGraph::ShaderGraph()
-{
-  finalized = false;
-  simplified = false;
-  num_node_ids = 0;
-  add(create_node<OutputNode>());
-}
-
-ShaderGraph::~ShaderGraph()
-{
-  clear_nodes();
-}
-
-ShaderNode *ShaderGraph::add(ShaderNode *node)
-{
-  assert(!finalized);
-  simplified = false;
-
-  node->id = num_node_ids++;
-  nodes.push_back(node);
-  return node;
-}
-
-OutputNode *ShaderGraph::output()
-{
-  return (OutputNode *)nodes.front();
-}
-
-void ShaderGraph::connect(ShaderOutput *from, ShaderInput *to)
-{
-  assert(!finalized);
-  assert(from && to);
-
-  if (to->link) {
-    fprintf(stderr, "Cycles shader graph connect: input already connected.\n");
-    return;
-  }
-
-  if (from->type() != to->type()) {
-    /* can't do automatic conversion from closure */
-    if (from->type() == SocketType::CLOSURE) {
-      fprintf(stderr,
-              "Cycles shader graph connect: can only connect closure to closure "
-              "(%s.%s to %s.%s).\n",
-              from->parent->name.c_str(),
-              from->name().c_str(),
-              to->parent->name.c_str(),
-              to->name().c_str());
-      return;
-    }
-
-    /* add automatic conversion node in case of type mismatch */
-    ShaderNode *convert;
-    ShaderInput *convert_in;
-
-    if (to->type() == SocketType::CLOSURE) {
-      EmissionNode *emission = create_node<EmissionNode>();
-      emission->set_color(one_float3());
-      emission->set_strength(1.0f);
-      convert = add(emission);
-      /* Connect float inputs to Strength to save an additional Value->Color conversion. */
-      if (from->type() == SocketType::FLOAT) {
-        convert_in = convert->input("Strength");
-      }
-      else {
-        convert_in = convert->input("Color");
-      }
-    }
-    else {
-      convert = add(create_node<ConvertNode>(from->type(), to->type(), true));
-      convert_in = convert->inputs[0];
-    }
-
-    connect(from, convert_in);
-    connect(convert->outputs[0], to);
-  }
-  else {
-    /* types match, just connect */
-    to->link = from;
-    from->links.push_back(to);
-  }
-}
-
-void ShaderGraph::disconnect(ShaderOutput *from)
-{
-  assert(!finalized);
-  simplified = false;
-
-  from->disconnect();
-}
-
-void ShaderGraph::disconnect(ShaderInput *to)
-{
-  assert(!finalized);
-  assert(to->link);
-  simplified = false;
-
-  to->disconnect();
-}
-
-void ShaderGraph::relink(ShaderInput *from, ShaderInput *to)
-{
-  ShaderOutput *out = from->link;
-  if (out) {
-    disconnect(from);
-    connect(out, to);
-  }
-  to->parent->copy_value(to->socket_type, *(from->parent), from->socket_type);
-}
-
-void ShaderGraph::relink(ShaderOutput *from, ShaderOutput *to)
-{
-  /* Copy because disconnect modifies this list. */
-  vector<ShaderInput *> outputs = from->links;
-
-  foreach (ShaderInput *sock, outputs) {
-    disconnect(sock);
-    if (to)
-      connect(to, sock);
-  }
-}
-
-void ShaderGraph::relink(ShaderNode *node, ShaderOutput *from, ShaderOutput *to)
-{
-  simplified = false;
-
-  /* Copy because disconnect modifies this list */
-  vector<ShaderInput *> outputs = from->links;
-
-  /* Bypass node by moving all links from "from" to "to" */
-  foreach (ShaderInput *sock, node->inputs) {
-    if (sock->link)
-      disconnect(sock);
-  }
-
-  foreach (ShaderInput *sock, outputs) {
-    disconnect(sock);
-    if (to)
-      connect(to, sock);
-  }
-}
-
-void ShaderGraph::simplify(Scene *scene)
-{
-  if (!simplified) {
-    expand();
-    default_inputs(scene->shader_manager->use_osl());
-    clean(scene);
-    refine_bump_nodes();
-
-    simplified = true;
-  }
-}
-
-void ShaderGraph::finalize(Scene *scene, bool do_bump, bool do_simplify, bool bump_in_object_space)
-{
-  /* before compiling, the shader graph may undergo a number of modifications.
-   * currently we set default geometry shader inputs, and create automatic bump
-   * from displacement. a graph can be finalized only once, and should not be
-   * modified afterwards. */
-
-  if (!finalized) {
-    simplify(scene);
-
-    if (do_bump)
-      bump_from_displacement(bump_in_object_space);
-
-    ShaderInput *surface_in = output()->input("Surface");
-    ShaderInput *volume_in = output()->input("Volume");
-
-    /* todo: make this work when surface and volume closures are tangled up */
-
-    if (surface_in->link)
-      transform_multi_closure(surface_in->link->parent, NULL, false);
-    if (volume_in->link)
-      transform_multi_closure(volume_in->link->parent, NULL, true);
-
-    finalized = true;
-  }
-  else if (do_simplify) {
-    simplify_settings(scene);
-  }
-}
-
-void ShaderGraph::find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input)
-{
-  /* find all nodes that this input depends on directly and indirectly */
-  ShaderNode *node = (input->link) ? input->link->parent : NULL;
-
-  if (node != NULL && dependencies.find(node) == dependencies.end()) {
-    foreach (ShaderInput *in, node->inputs)
-      find_dependencies(dependencies, in);
-
-    dependencies.insert(node);
-  }
-}
-
-void ShaderGraph::clear_nodes()
-{
-  foreach (ShaderNode *node, nodes) {
-    delete_node(node);
-  }
-  nodes.clear();
-}
-
-void ShaderGraph::copy_nodes(ShaderNodeSet &nodes, ShaderNodeMap &nnodemap)
-{
-  /* copy a set of nodes, and the links between them. the assumption is
-   * made that all nodes that inputs are linked to are in the set too. */
-
-  /* copy nodes */
-  foreach (ShaderNode *node, nodes) {
-    ShaderNode *nnode = node->clone(this);
-    nnodemap[node] = nnode;
-
-    /* create new inputs and outputs to recreate links and ensure
-     * that we still point to valid SocketType if the NodeType
-     * changed in cloning, as it does for OSL nodes */
-    nnode->inputs.clear();
-    nnode->outputs.clear();
-    nnode->create_inputs_outputs(nnode->type);
-  }
-
-  /* recreate links */
-  foreach (ShaderNode *node, nodes) {
-    foreach (ShaderInput *input, node->inputs) {
-      if (input->link) {
-        /* find new input and output */
-        ShaderNode *nfrom = nnodemap[input->link->parent];
-        ShaderNode *nto = nnodemap[input->parent];
-        ShaderOutput *noutput = nfrom->output(input->link->name());
-        ShaderInput *ninput = nto->input(input->name());
-
-        /* connect */
-        connect(noutput, ninput);
-      }
-    }
-  }
-}
-
-/* Graph simplification */
-/* ******************** */
-
-/* Remove proxy nodes.
- *
- * These only exists temporarily when exporting groups, and we must remove them
- * early so that node->attributes() and default links do not see them.
- */
-void ShaderGraph::remove_proxy_nodes()
-{
-  vector<bool> removed(num_node_ids, false);
-  bool any_node_removed = false;
-
-  foreach (ShaderNode *node, nodes) {
-    if (node->special_type == SHADER_SPECIAL_TYPE_PROXY) {
-      ConvertNode *proxy = static_cast<ConvertNode *>(node);
-      ShaderInput *input = proxy->inputs[0];
-      ShaderOutput *output = proxy->outputs[0];
-
-      /* bypass the proxy node */
-      if (input->link) {
-        relink(proxy, output, input->link);
-      }
-      else {
-        /* Copy because disconnect modifies this list */
-        vector<ShaderInput *> links(output->links);
-
-        foreach (ShaderInput *to, links) {
-          /* Remove any auto-convert nodes too if they lead to
-           * sockets with an automatically set default value. */
-          ShaderNode *tonode = to->parent;
-
-          if (tonode->special_type == SHADER_SPECIAL_TYPE_AUTOCONVERT) {
-            bool all_links_removed = true;
-            vector<ShaderInput *> links = tonode->outputs[0]->links;
-
-            foreach (ShaderInput *autoin, links) {
-              if (autoin->flags() & SocketType::DEFAULT_LINK_MASK)
-                disconnect(autoin);
-              else
-                all_links_removed = false;
-            }
-
-            if (all_links_removed)
-              removed[tonode->id] = true;
-          }
-
-          disconnect(to);
-
-          /* transfer the default input value to the target socket */
-          tonode->copy_value(to->socket_type, *proxy, input->socket_type);
-        }
-      }
-
-      removed[proxy->id] = true;
-      any_node_removed = true;
-    }
-  }
-
-  /* remove nodes */
-  if (any_node_removed) {
-    list<ShaderNode *> newnodes;
-
-    foreach (ShaderNode *node, nodes) {
-      if (!removed[node->id])
-        newnodes.push_back(node);
-      else
-        delete_node(node);
-    }
-
-    nodes = newnodes;
-  }
-}
-
-/* Constant folding.
- *
- * Try to constant fold some nodes, and pipe result directly to
- * the input socket of connected nodes.
- */
-void ShaderGraph::constant_fold(Scene *scene)
-{
-  ShaderNodeSet done, scheduled;
-  queue<ShaderNode *> traverse_queue;
-
-  bool has_displacement = (output()->input("Displacement")->link != NULL);
-
-  /* Schedule nodes which doesn't have any dependencies. */
-  foreach (ShaderNode *node, nodes) {
-    if (!check_node_inputs_has_links(node)) {
-      traverse_queue.push(node);
-      scheduled.insert(node);
-    }
-  }
-
-  while (!traverse_queue.empty()) {
-    ShaderNode *node = traverse_queue.front();
-    traverse_queue.pop();
-    done.insert(node);
-    foreach (ShaderOutput *output, node->outputs) {
-      if (output->links.size() == 0) {
-        continue;
-      }
-      /* Schedule node which was depending on the value,
-       * when possible. Do it before disconnect.
-       */
-      foreach (ShaderInput *input, output->links) {
-        if (scheduled.find(input->parent) != scheduled.end()) {
-          /* Node might not be optimized yet but scheduled already
-           * by other dependencies. No need to re-schedule it.
-           */
-          continue;
-        }
-        /* Schedule node if its inputs are fully done. */
-        if (check_node_inputs_traversed(input->parent, done)) {
-          traverse_queue.push(input->parent);
-          scheduled.insert(input->parent);
-        }
-      }
-      /* Optimize current node. */
-      ConstantFolder folder(this, node, output, scene);
-      node->constant_fold(folder);
-    }
-  }
-
-  /* Folding might have removed all nodes connected to the displacement output
-   * even tho there is displacement to be applied, so add in a value node if
-   * that happens to ensure there is still a valid graph for displacement.
-   */
-  if (has_displacement && !output()->input("Displacement")->link) {
-    ColorNode *value = (ColorNode *)add(create_node<ColorNode>());
-    value->set_value(output()->get_displacement());
-
-    connect(value->output("Color"), output()->input("Displacement"));
-  }
-}
-
-/* Simplification. */
-void ShaderGraph::simplify_settings(Scene *scene)
-{
-  foreach (ShaderNode *node, nodes) {
-    node->simplify_settings(scene);
-  }
-}
-
-/* Deduplicate nodes with same settings. */
-void ShaderGraph::deduplicate_nodes()
-{
-  /* NOTES:
-   * - Deduplication happens for nodes which has same exact settings and same
-   *   exact input links configuration (either connected to same output or has
-   *   the same exact default value).
-   * - Deduplication happens in the bottom-top manner, so we know for fact that
-   *   all traversed nodes are either can not be deduplicated at all or were
-   *   already deduplicated.
-   */
-
-  ShaderNodeSet scheduled, done;
-  map<ustring, ShaderNodeSet> candidates;
-  queue<ShaderNode *> traverse_queue;
-  int num_deduplicated = 0;
-
-  /* Schedule nodes which doesn't have any dependencies. */
-  foreach (ShaderNode *node, nodes) {
-    if (!check_node_inputs_has_links(node)) {
-      traverse_queue.push(node);
-      scheduled.insert(node);
-    }
-  }
-
-  while (!traverse_queue.empty()) {
-    ShaderNode *node = traverse_queue.front();
-    traverse_queue.pop();
-    done.insert(node);
-    /* Schedule the nodes which were depending on the current node. */
-    bool has_output_links = false;
-    foreach (ShaderOutput *output, node->outputs) {
-      foreach (ShaderInput *input, output->links) {
-        has_output_links = true;
-        if (scheduled.find(input->parent) != scheduled.end()) {
-          /* Node might not be optimized yet but scheduled already
-           * by other dependencies. No need to re-schedule it.
-           */
-          continue;
-        }
-        /* Schedule node if its inputs are fully done. */
-        if (check_node_inputs_traversed(input->parent, done)) {
-          traverse_queue.push(input->parent);
-          scheduled.insert(input->parent);
-        }
-      }
-    }
-    /* Only need to care about nodes that are actually used */
-    if (!has_output_links) {
-      continue;
-    }
-    /* Try to merge this node with another one. */
-    ShaderNode *merge_with = NULL;
-    foreach (ShaderNode *other_node, candidates[node->type->name]) {
-      if (node != other_node && node->equals(*other_node)) {
-        merge_with = other_node;
-        break;
-      }
-    }
-    /* If found an equivalent, merge; otherwise keep node for later merges */
-    if (merge_with != NULL) {
-      for (int i = 0; i < node->outputs.size(); ++i) {
-        relink(node, node->outputs[i], merge_with->outputs[i]);
-      }
-      num_deduplicated++;
-    }
-    else {
-      candidates[node->type->name].insert(node);
-    }
-  }
-
-  if (num_deduplicated > 0) {
-    VLOG(1) << "Deduplicated " << num_deduplicated << " nodes.";
-  }
-}
-
-/* Check whether volume output has meaningful nodes, otherwise
- * disconnect the output.
- */
-void ShaderGraph::verify_volume_output()
-{
-  /* Check whether we can optimize the whole volume graph out. */
-  ShaderInput *volume_in = output()->input("Volume");
-  if (volume_in->link == NULL) {
-    return;
-  }
-  bool has_valid_volume = false;
-  ShaderNodeSet scheduled;
-  queue<ShaderNode *> traverse_queue;
-  /* Schedule volume output. */
-  traverse_queue.push(volume_in->link->parent);
-  scheduled.insert(volume_in->link->parent);
-  /* Traverse down the tree. */
-  while (!traverse_queue.empty()) {
-    ShaderNode *node = traverse_queue.front();
-    traverse_queue.pop();
-    /* Node is fully valid for volume, can't optimize anything out. */
-    if (node->has_volume_support()) {
-      has_valid_volume = true;
-      break;
-    }
-    foreach (ShaderInput *input, node->inputs) {
-      if (input->link == NULL) {
-        continue;
-      }
-      if (scheduled.find(input->link->parent) != scheduled.end()) {
-        continue;
-      }
-      traverse_queue.push(input->link->parent);
-      scheduled.insert(input->link->parent);
-    }
-  }
-  if (!has_valid_volume) {
-    VLOG(1) << "Disconnect meaningless volume output.";
-    disconnect(volume_in->link);
-  }
-}
-
-void ShaderGraph::break_cycles(ShaderNode *node, vector<bool> &visited, vector<bool> &on_stack)
-{
-  visited[node->id] = true;
-  on_stack[node->id] = true;
-
-  foreach (ShaderInput *input, node->inputs) {
-    if (input->link) {
-      ShaderNode *depnode = input->link->parent;
-
-      if (on_stack[depnode->id]) {
-        /* break cycle */
-        disconnect(input);
-        fprintf(stderr, "Cycles shader graph: detected cycle in graph, connection removed.\n");
-      }
-      else if (!visited[depnode->id]) {
-        /* visit dependencies */
-        break_cycles(depnode, visited, on_stack);
-      }
-    }
-  }
-
-  on_stack[node->id] = false;
-}
-
-void ShaderGraph::compute_displacement_hash()
-{
-  /* Compute hash of all nodes linked to displacement, to detect if we need
-   * to recompute displacement when shader nodes change. */
-  ShaderInput *displacement_in = output()->input("Displacement");
-
-  if (!displacement_in->link) {
-    displacement_hash = "";
-    return;
-  }
-
-  ShaderNodeSet nodes_displace;
-  find_dependencies(nodes_displace, displacement_in);
-
-  MD5Hash md5;
-  foreach (ShaderNode *node, nodes_displace) {
-    node->hash(md5);
-    foreach (ShaderInput *input, node->inputs) {
-      int link_id = (input->link) ? input->link->parent->id : 0;
-      md5.append((uint8_t *)&link_id, sizeof(link_id));
-      md5.append((input->link) ? input->link->name().c_str() : "");
-    }
-
-    if (node->special_type == SHADER_SPECIAL_TYPE_OSL) {
-      /* Hash takes into account socket values, to detect changes
-       * in the code of the node we need an exception. */
-      OSLNode *oslnode = static_cast<OSLNode *>(node);
-      md5.append(oslnode->bytecode_hash);
-    }
-  }
-
-  displacement_hash = md5.get_hex();
-}
-
-void ShaderGraph::clean(Scene *scene)
-{
-  /* Graph simplification */
-
-  /* NOTE: Remove proxy nodes was already done. */
-  constant_fold(scene);
-  simplify_settings(scene);
-  deduplicate_nodes();
-  verify_volume_output();
-
-  /* we do two things here: find cycles and break them, and remove unused
-   * nodes that don't feed into the output. how cycles are broken is
-   * undefined, they are invalid input, the important thing is to not crash */
-
-  vector<bool> visited(num_node_ids, false);
-  vector<bool> on_stack(num_node_ids, false);
-
-  /* break cycles */
-  break_cycles(output(), visited, on_stack);
-  foreach (ShaderNode *node, nodes) {
-    if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT_AOV) {
-      break_cycles(node, visited, on_stack);
-    }
-  }
-
-  /* disconnect unused nodes */
-  foreach (ShaderNode *node, nodes) {
-    if (!visited[node->id]) {
-      foreach (ShaderInput *to, node->inputs) {
-        ShaderOutput *from = to->link;
-
-        if (from) {
-          to->link = NULL;
-          from->links.erase(remove(from->links.begin(), from->links.end(), to), from->links.end());
-        }
-      }
-    }
-  }
-
-  /* remove unused nodes */
-  list<ShaderNode *> newnodes;
-
-  foreach (ShaderNode *node, nodes) {
-    if (visited[node->id])
-      newnodes.push_back(node);
-    else
-      delete_node(node);
-  }
-
-  nodes = newnodes;
-}
-
-void ShaderGraph::expand()
-{
-  /* Call expand on all nodes, to generate additional nodes. */
-  foreach (ShaderNode *node, nodes) {
-    node->expand(this);
-  }
-}
-
-void ShaderGraph::default_inputs(bool do_osl)
-{
-  /* nodes can specify default texture coordinates, for now we give
-   * everything the position by default, except for the sky texture */
-
-  ShaderNode *geom = NULL;
-  ShaderNode *texco = NULL;
-
-  foreach (ShaderNode *node, nodes) {
-    foreach (ShaderInput *input, node->inputs) {
-      if (!input->link && (!(input->flags() & SocketType::OSL_INTERNAL) || do_osl)) {
-        if (input->flags() & SocketType::LINK_TEXTURE_GENERATED) {
-          if (!texco)
-            texco = create_node<TextureCoordinateNode>();
-
-          connect(texco->output("Generated"), input);
-        }
-        if (input->flags() & SocketType::LINK_TEXTURE_NORMAL) {
-          if (!texco)
-            texco = create_node<TextureCoordinateNode>();
-
-          connect(texco->output("Normal"), input);
-        }
-        else if (input->flags() & SocketType::LINK_TEXTURE_UV) {
-          if (!texco)
-            texco = create_node<TextureCoordinateNode>();
-
-          connect(texco->output("UV"), input);
-        }
-        else if (input->flags() & SocketType::LINK_INCOMING) {
-          if (!geom)
-            geom = create_node<GeometryNode>();
-
-          connect(geom->output("Incoming"), input);
-        }
-        else if (input->flags() & SocketType::LINK_NORMAL) {
-          if (!geom)
-            geom = create_node<GeometryNode>();
-
-          connect(geom->output("Normal"), input);
-        }
-        else if (input->flags() & SocketType::LINK_POSITION) {
-          if (!geom)
-            geom = create_node<GeometryNode>();
-
-          connect(geom->output("Position"), input);
-        }
-        else if (input->flags() & SocketType::LINK_TANGENT) {
-          if (!geom)
-            geom = create_node<GeometryNode>();
-
-          connect(geom->output("Tangent"), input);
-        }
-      }
-    }
-  }
-
-  if (geom)
-    add(geom);
-  if (texco)
-    add(texco);
-}
-
-void ShaderGraph::refine_bump_nodes()
-{
-  /* we transverse the node graph looking for bump nodes, when we find them,
-   * like in bump_from_displacement(), we copy the sub-graph defined from "bump"
-   * input to the inputs "center","dx" and "dy" What is in "bump" input is moved
-   * to "center" input. */
-
-  foreach (ShaderNode *node, nodes) {
-    if (node->special_type == SHADER_SPECIAL_TYPE_BUMP && node->input("Height")->link) {
-      ShaderInput *bump_input = node->input("Height");
-      ShaderNodeSet nodes_bump;
-
-      /* make 2 extra copies of the subgraph defined in Bump input */
-      ShaderNodeMap nodes_dx;
-      ShaderNodeMap nodes_dy;
-
-      /* find dependencies for the given input */
-      find_dependencies(nodes_bump, bump_input);
-
-      copy_nodes(nodes_bump, nodes_dx);
-      copy_nodes(nodes_bump, nodes_dy);
-
-      /* mark nodes to indicate they are use for bump computation, so
-         that any texture coordinates are shifted by dx/dy when sampling */
-      foreach (ShaderNode *node, nodes_bump)
-        node->bump = SHADER_BUMP_CENTER;
-      foreach (NodePair &pair, nodes_dx)
-        pair.second->bump = SHADER_BUMP_DX;
-      foreach (NodePair &pair, nodes_dy)
-        pair.second->bump = SHADER_BUMP_DY;
-
-      ShaderOutput *out = bump_input->link;
-      ShaderOutput *out_dx = nodes_dx[out->parent]->output(out->name());
-      ShaderOutput *out_dy = nodes_dy[out->parent]->output(out->name());
-
-      connect(out_dx, node->input("SampleX"));
-      connect(out_dy, node->input("SampleY"));
-
-      /* add generated nodes */
-      foreach (NodePair &pair, nodes_dx)
-        add(pair.second);
-      foreach (NodePair &pair, nodes_dy)
-        add(pair.second);
-
-      /* Connect what is connected is bump to sample-center input. */
-      connect(out, node->input("SampleCenter"));
-
-      /* Bump input is just for connectivity purpose for the graph input,
-       * we re-connected this input to sample-center, so lets disconnect it
-       * from bump input. */
-      disconnect(bump_input);
-    }
-  }
-}
-
-void ShaderGraph::bump_from_displacement(bool use_object_space)
-{
-  /* generate bump mapping automatically from displacement. bump mapping is
-   * done using a 3-tap filter, computing the displacement at the center,
-   * and two other positions shifted by ray differentials.
-   *
-   * since the input to displacement is a node graph, we need to ensure that
-   * all texture coordinates use are shift by the ray differentials. for this
-   * reason we make 3 copies of the node subgraph defining the displacement,
-   * with each different geometry and texture coordinate nodes that generate
-   * different shifted coordinates.
-   *
-   * these 3 displacement values are then fed into the bump node, which will
-   * output the perturbed normal. */
-
-  ShaderInput *displacement_in = output()->input("Displacement");
-
-  if (!displacement_in->link)
-    return;
-
-  /* find dependencies for the given input */
-  ShaderNodeSet nodes_displace;
-  find_dependencies(nodes_displace, displacement_in);
-
-  /* copy nodes for 3 bump samples */
-  ShaderNodeMap nodes_center;
-  ShaderNodeMap nodes_dx;
-  ShaderNodeMap nodes_dy;
-
-  copy_nodes(nodes_displace, nodes_center);
-  copy_nodes(nodes_displace, nodes_dx);
-  copy_nodes(nodes_displace, nodes_dy);
-
-  /* mark nodes to indicate they are use for bump computation, so
-   * that any texture coordinates are shifted by dx/dy when sampling */
-  foreach (NodePair &pair, nodes_center)
-    pair.second->bump = SHADER_BUMP_CENTER;
-  foreach (NodePair &pair, nodes_dx)
-    pair.second->bump = SHADER_BUMP_DX;
-  foreach (NodePair &pair, nodes_dy)
-    pair.second->bump = SHADER_BUMP_DY;
-
-  /* add set normal node and connect the bump normal output to the set normal
-   * output, so it can finally set the shader normal, note we are only doing
-   * this for bump from displacement, this will be the only bump allowed to
-   * overwrite the shader normal */
-  ShaderNode *set_normal = add(create_node<SetNormalNode>());
-
-  /* add bump node and connect copied graphs to it */
-  BumpNode *bump = (BumpNode *)add(create_node<BumpNode>());
-  bump->set_use_object_space(use_object_space);
-  bump->set_distance(1.0f);
-
-  ShaderOutput *out = displacement_in->link;
-  ShaderOutput *out_center = nodes_center[out->parent]->output(out->name());
-  ShaderOutput *out_dx = nodes_dx[out->parent]->output(out->name());
-  ShaderOutput *out_dy = nodes_dy[out->parent]->output(out->name());
-
-  /* convert displacement vector to height */
-  VectorMathNode *dot_center = (VectorMathNode *)add(create_node<VectorMathNode>());
-  VectorMathNode *dot_dx = (VectorMathNode *)add(create_node<VectorMathNode>());
-  VectorMathNode *dot_dy = (VectorMathNode *)add(create_node<VectorMathNode>());
-
-  dot_center->set_math_type(NODE_VECTOR_MATH_DOT_PRODUCT);
-  dot_dx->set_math_type(NODE_VECTOR_MATH_DOT_PRODUCT);
-  dot_dy->set_math_type(NODE_VECTOR_MATH_DOT_PRODUCT);
-
-  GeometryNode *geom = (GeometryNode *)add(create_node<GeometryNode>());
-  connect(geom->output("Normal"), dot_center->input("Vector2"));
-  connect(geom->output("Normal"), dot_dx->input("Vector2"));
-  connect(geom->output("Normal"), dot_dy->input("Vector2"));
-
-  connect(out_center, dot_center->input("Vector1"));
-  connect(out_dx, dot_dx->input("Vector1"));
-  connect(out_dy, dot_dy->input("Vector1"));
-
-  connect(dot_center->output("Value"), bump->input("SampleCenter"));
-  connect(dot_dx->output("Value"), bump->input("SampleX"));
-  connect(dot_dy->output("Value"), bump->input("SampleY"));
-
-  /* connect the bump out to the set normal in: */
-  connect(bump->output("Normal"), set_normal->input("Direction"));
-
-  /* connect to output node */
-  connect(set_normal->output("Normal"), output()->input("Normal"));
-
-  /* finally, add the copied nodes to the graph. we can't do this earlier
-   * because we would create dependency cycles in the above loop */
-  foreach (NodePair &pair, nodes_center)
-    add(pair.second);
-  foreach (NodePair &pair, nodes_dx)
-    add(pair.second);
-  foreach (NodePair &pair, nodes_dy)
-    add(pair.second);
-}
-
-void ShaderGraph::transform_multi_closure(ShaderNode *node, ShaderOutput *weight_out, bool volume)
-{
-  /* for SVM in multi closure mode, this transforms the shader mix/add part of
-   * the graph into nodes that feed weights into closure nodes. this is too
-   * avoid building a closure tree and then flattening it, and instead write it
-   * directly to an array */
-
-  if (node->special_type == SHADER_SPECIAL_TYPE_COMBINE_CLOSURE) {
-    ShaderInput *fin = node->input("Fac");
-    ShaderInput *cl1in = node->input("Closure1");
-    ShaderInput *cl2in = node->input("Closure2");
-    ShaderOutput *weight1_out, *weight2_out;
-
-    if (fin) {
-      /* mix closure: add node to mix closure weights */
-      MixClosureWeightNode *mix_node = create_node<MixClosureWeightNode>();
-      add(mix_node);
-      ShaderInput *fac_in = mix_node->input("Fac");
-      ShaderInput *weight_in = mix_node->input("Weight");
-
-      if (fin->link)
-        connect(fin->link, fac_in);
-      else
-        mix_node->set_fac(node->get_float(fin->socket_type));
-
-      if (weight_out)
-        connect(weight_out, weight_in);
-
-      weight1_out = mix_node->output("Weight1");
-      weight2_out = mix_node->output("Weight2");
-    }
-    else {
-      /* add closure: just pass on any weights */
-      weight1_out = weight_out;
-      weight2_out = weight_out;
-    }
-
-    if (cl1in->link)
-      transform_multi_closure(cl1in->link->parent, weight1_out, volume);
-    if (cl2in->link)
-      transform_multi_closure(cl2in->link->parent, weight2_out, volume);
-  }
-  else {
-    ShaderInput *weight_in = node->input((volume) ? "VolumeMixWeight" : "SurfaceMixWeight");
-
-    /* not a closure node? */
-    if (!weight_in)
-      return;
-
-    /* already has a weight connected to it? add weights */
-    float weight_value = node->get_float(weight_in->socket_type);
-    if (weight_in->link || weight_value != 0.0f) {
-      MathNode *math_node = create_node<MathNode>();
-      add(math_node);
-
-      if (weight_in->link)
-        connect(weight_in->link, math_node->input("Value1"));
-      else
-        math_node->set_value1(weight_value);
-
-      if (weight_out)
-        connect(weight_out, math_node->input("Value2"));
-      else
-        math_node->set_value2(1.0f);
-
-      weight_out = math_node->output("Value");
-      if (weight_in->link)
-        disconnect(weight_in);
-    }
-
-    /* connected to closure mix weight */
-    if (weight_out)
-      connect(weight_out, weight_in);
-    else
-      node->set(weight_in->socket_type, weight_value + 1.0f);
-  }
-}
-
-int ShaderGraph::get_num_closures()
-{
-  int num_closures = 0;
-  foreach (ShaderNode *node, nodes) {
-    ClosureType closure_type = node->get_closure_type();
-    if (closure_type == CLOSURE_NONE_ID) {
-      continue;
-    }
-    else if (CLOSURE_IS_BSSRDF(closure_type)) {
-      num_closures += 3;
-    }
-    else if (CLOSURE_IS_GLASS(closure_type)) {
-      num_closures += 2;
-    }
-    else if (CLOSURE_IS_BSDF_MULTISCATTER(closure_type)) {
-      num_closures += 2;
-    }
-    else if (CLOSURE_IS_PRINCIPLED(closure_type)) {
-      num_closures += 8;
-    }
-    else if (CLOSURE_IS_VOLUME(closure_type)) {
-      /* TODO(sergey): Verify this is still needed, since we have special minimized volume storage
-       * for the volume steps. */
-      num_closures += MAX_VOLUME_STACK_SIZE;
-    }
-    else if (closure_type == CLOSURE_BSDF_HAIR_PRINCIPLED_ID) {
-      num_closures += 4;
-    }
-    else {
-      ++num_closures;
-    }
-  }
-  return num_closures;
-}
-
-void ShaderGraph::dump_graph(const char *filename)
-{
-  FILE *fd = fopen(filename, "w");
-
-  if (fd == NULL) {
-    printf("Error opening file for dumping the graph: %s\n", filename);
-    return;
-  }
-
-  fprintf(fd, "digraph shader_graph {\n");
-  fprintf(fd, "ranksep=1.5\n");
-  fprintf(fd, "rankdir=LR\n");
-  fprintf(fd, "splines=false\n");
-
-  foreach (ShaderNode *node, nodes) {
-    fprintf(fd, "// NODE: %p\n", node);
-    fprintf(fd, "\"%p\" [shape=record,label=\"{", node);
-    if (node->inputs.size()) {
-      fprintf(fd, "{");
-      foreach (ShaderInput *socket, node->inputs) {
-        if (socket != node->inputs[0]) {
-          fprintf(fd, "|");
-        }
-        fprintf(fd, "<IN_%p>%s", socket, socket->name().c_str());
-      }
-      fprintf(fd, "}|");
-    }
-    fprintf(fd, "%s", node->name.c_str());
-    if (node->bump == SHADER_BUMP_CENTER) {
-      fprintf(fd, " (bump:center)");
-    }
-    else if (node->bump == SHADER_BUMP_DX) {
-      fprintf(fd, " (bump:dx)");
-    }
-    else if (node->bump == SHADER_BUMP_DY) {
-      fprintf(fd, " (bump:dy)");
-    }
-    if (node->outputs.size()) {
-      fprintf(fd, "|{");
-      foreach (ShaderOutput *socket, node->outputs) {
-        if (socket != node->outputs[0]) {
-          fprintf(fd, "|");
-        }
-        fprintf(fd, "<OUT_%p>%s", socket, socket->name().c_str());
-      }
-      fprintf(fd, "}");
-    }
-    fprintf(fd, "}\"]");
-  }
-
-  foreach (ShaderNode *node, nodes) {
-    foreach (ShaderOutput *output, node->outputs) {
-      foreach (ShaderInput *input, output->links) {
-        fprintf(fd,
-                "// CONNECTION: OUT_%p->IN_%p (%s:%s)\n",
-                output,
-                input,
-                output->name().c_str(),
-                input->name().c_str());
-        fprintf(fd,
-                "\"%p\":\"OUT_%p\":e -> \"%p\":\"IN_%p\":w [label=\"\"]\n",
-                output->parent,
-                output,
-                input->parent,
-                input);
-      }
-    }
-  }
-
-  fprintf(fd, "}\n");
-  fclose(fd);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/graph.h b/intern/cycles/render/graph.h
deleted file mode 100644
index 3584754fad1..00000000000
--- a/intern/cycles/render/graph.h
+++ /dev/null
@@ -1,385 +0,0 @@
-/*
- * Copyright 2011-2016 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __GRAPH_H__
-#define __GRAPH_H__
-
-#include "graph/node.h"
-#include "graph/node_type.h"
-
-#include "kernel/kernel_types.h"
-
-#include "util/util_list.h"
-#include "util/util_map.h"
-#include "util/util_param.h"
-#include "util/util_set.h"
-#include "util/util_types.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class AttributeRequestSet;
-class Scene;
-class Shader;
-class ShaderInput;
-class ShaderOutput;
-class ShaderNode;
-class ShaderGraph;
-class SVMCompiler;
-class OSLCompiler;
-class OutputNode;
-class ConstantFolder;
-class MD5Hash;
-
-/* Bump
- *
- * For bump mapping, a node may be evaluated multiple times, using different
- * samples to reconstruct the normal, this indicates the sample position */
-
-enum ShaderBump { SHADER_BUMP_NONE, SHADER_BUMP_CENTER, SHADER_BUMP_DX, SHADER_BUMP_DY };
-
-/* Identifiers for some special node types.
- *
- * The graph needs to identify these in the clean function.
- * Cannot use dynamic_cast, as this is disabled for OSL. */
-
-enum ShaderNodeSpecialType {
-  SHADER_SPECIAL_TYPE_NONE,
-  SHADER_SPECIAL_TYPE_PROXY,
-  SHADER_SPECIAL_TYPE_AUTOCONVERT,
-  SHADER_SPECIAL_TYPE_GEOMETRY,
-  SHADER_SPECIAL_TYPE_OSL,
-  SHADER_SPECIAL_TYPE_IMAGE_SLOT,
-  SHADER_SPECIAL_TYPE_CLOSURE,
-  SHADER_SPECIAL_TYPE_COMBINE_CLOSURE,
-  SHADER_SPECIAL_TYPE_OUTPUT,
-  SHADER_SPECIAL_TYPE_BUMP,
-  SHADER_SPECIAL_TYPE_OUTPUT_AOV,
-};
-
-/* Input
- *
- * Input socket for a shader node. May be linked to an output or not. If not
- * linked, it will either get a fixed default value, or e.g. a texture
- * coordinate. */
-
-class ShaderInput {
- public:
-  ShaderInput(const SocketType &socket_type_, ShaderNode *parent_)
-      : socket_type(socket_type_),
-        parent(parent_),
-        link(NULL),
-        stack_offset(SVM_STACK_INVALID),
-        constant_folded_in(false)
-  {
-  }
-
-  ustring name()
-  {
-    return socket_type.ui_name;
-  }
-  int flags()
-  {
-    return socket_type.flags;
-  }
-  SocketType::Type type()
-  {
-    return socket_type.type;
-  }
-
-  void set(float f)
-  {
-    ((Node *)parent)->set(socket_type, f);
-  }
-  void set(float3 f)
-  {
-    ((Node *)parent)->set(socket_type, f);
-  }
-
-  void disconnect();
-
-  const SocketType &socket_type;
-  ShaderNode *parent;
-  ShaderOutput *link;
-  int stack_offset; /* for SVM compiler */
-
-  /* Keeps track of whether a constant was folded in this socket, to avoid over-optimizing when the
-   * link is null. */
-  bool constant_folded_in;
-};
-
-/* Output
- *
- * Output socket for a shader node. */
-
-class ShaderOutput {
- public:
-  ShaderOutput(const SocketType &socket_type_, ShaderNode *parent_)
-      : socket_type(socket_type_), parent(parent_), stack_offset(SVM_STACK_INVALID)
-  {
-  }
-
-  ustring name()
-  {
-    return socket_type.ui_name;
-  }
-  SocketType::Type type()
-  {
-    return socket_type.type;
-  }
-
-  void disconnect();
-
-  const SocketType &socket_type;
-  ShaderNode *parent;
-  vector<ShaderInput *> links;
-  int stack_offset; /* for SVM compiler */
-};
-
-/* Node
- *
- * Shader node in graph, with input and output sockets. This is the virtual
- * base class for all node types. */
-
-class ShaderNode : public Node {
- public:
-  explicit ShaderNode(const NodeType *type);
-  virtual ~ShaderNode();
-
-  void create_inputs_outputs(const NodeType *type);
-  void remove_input(ShaderInput *input);
-
-  ShaderInput *input(const char *name);
-  ShaderOutput *output(const char *name);
-  ShaderInput *input(ustring name);
-  ShaderOutput *output(ustring name);
-
-  virtual ShaderNode *clone(ShaderGraph *graph) const = 0;
-  virtual void attributes(Shader *shader, AttributeRequestSet *attributes);
-  virtual void compile(SVMCompiler &compiler) = 0;
-  virtual void compile(OSLCompiler &compiler) = 0;
-
-  /* Expand node into additional nodes. */
-  virtual void expand(ShaderGraph * /* graph */)
-  {
-  }
-
-  /* ** Node optimization ** */
-  /* Check whether the node can be replaced with single constant. */
-  virtual void constant_fold(const ConstantFolder & /*folder*/)
-  {
-  }
-
-  /* Simplify settings used by artists to the ones which are simpler to
-   * evaluate in the kernel but keep the final result unchanged.
-   */
-  virtual void simplify_settings(Scene * /*scene*/){};
-
-  virtual bool has_surface_emission()
-  {
-    return false;
-  }
-  virtual bool has_surface_transparent()
-  {
-    return false;
-  }
-  virtual bool has_surface_bssrdf()
-  {
-    return false;
-  }
-  virtual bool has_bump()
-  {
-    return false;
-  }
-  virtual bool has_bssrdf_bump()
-  {
-    return false;
-  }
-  virtual bool has_spatial_varying()
-  {
-    return false;
-  }
-  virtual bool has_attribute_dependency()
-  {
-    return false;
-  }
-  virtual bool has_integrator_dependency()
-  {
-    return false;
-  }
-  virtual bool has_volume_support()
-  {
-    return false;
-  }
-  vector<ShaderInput *> inputs;
-  vector<ShaderOutput *> outputs;
-
-  int id;          /* index in graph node array */
-  ShaderBump bump; /* for bump mapping utility */
-
-  ShaderNodeSpecialType special_type; /* special node type */
-
-  /* ** Selective nodes compilation ** */
-
-  /* TODO(sergey): More explicitly mention in the function names
-   * that those functions are for selective compilation only?
-   */
-
-  /* Node feature are used to disable huge nodes inside the group,
-   * so it's possible to disable huge nodes inside of the required
-   * nodes group.
-   */
-  virtual int get_feature()
-  {
-    return bump == SHADER_BUMP_NONE ? 0 : KERNEL_FEATURE_NODE_BUMP;
-  }
-
-  /* Get closure ID to which the node compiles into. */
-  virtual ClosureType get_closure_type()
-  {
-    return CLOSURE_NONE_ID;
-  }
-
-  /* Check whether settings of the node equals to another one.
-   *
-   * This is mainly used to check whether two nodes can be merged
-   * together. Meaning, runtime stuff like node id and unbound slots
-   * will be ignored for comparison.
-   *
-   * NOTE: If some node can't be de-duplicated for whatever reason it
-   * is to be handled in the subclass.
-   */
-  virtual bool equals(const ShaderNode &other);
-};
-
-/* Node definition utility macros */
-
-#define SHADER_NODE_CLASS(type) \
-  NODE_DECLARE \
-  type(); \
-  virtual ShaderNode *clone(ShaderGraph *graph) const \
-  { \
-    return graph->create_node<type>(*this); \
-  } \
-  virtual void compile(SVMCompiler &compiler); \
-  virtual void compile(OSLCompiler &compiler);
-
-#define SHADER_NODE_NO_CLONE_CLASS(type) \
-  NODE_DECLARE \
-  type(); \
-  virtual void compile(SVMCompiler &compiler); \
-  virtual void compile(OSLCompiler &compiler);
-
-#define SHADER_NODE_BASE_CLASS(type) \
-  virtual ShaderNode *clone(ShaderGraph *graph) const \
-  { \
-    return graph->create_node<type>(*this); \
-  } \
-  virtual void compile(SVMCompiler &compiler); \
-  virtual void compile(OSLCompiler &compiler);
-
-class ShaderNodeIDComparator {
- public:
-  bool operator()(const ShaderNode *n1, const ShaderNode *n2) const
-  {
-    return n1->id < n2->id;
-  }
-};
-
-typedef set<ShaderNode *, ShaderNodeIDComparator> ShaderNodeSet;
-typedef map<ShaderNode *, ShaderNode *, ShaderNodeIDComparator> ShaderNodeMap;
-
-/* Graph
- *
- * Shader graph of nodes. Also does graph manipulations for default inputs,
- * bump mapping from displacement, and possibly other things in the future. */
-
-class ShaderGraph : public NodeOwner {
- public:
-  list<ShaderNode *> nodes;
-  size_t num_node_ids;
-  bool finalized;
-  bool simplified;
-  string displacement_hash;
-
-  ShaderGraph();
-  ~ShaderGraph();
-
-  ShaderNode *add(ShaderNode *node);
-  OutputNode *output();
-
-  void connect(ShaderOutput *from, ShaderInput *to);
-  void disconnect(ShaderOutput *from);
-  void disconnect(ShaderInput *to);
-  void relink(ShaderInput *from, ShaderInput *to);
-  void relink(ShaderOutput *from, ShaderOutput *to);
-  void relink(ShaderNode *node, ShaderOutput *from, ShaderOutput *to);
-
-  void remove_proxy_nodes();
-  void compute_displacement_hash();
-  void simplify(Scene *scene);
-  void finalize(Scene *scene,
-                bool do_bump = false,
-                bool do_simplify = false,
-                bool bump_in_object_space = false);
-
-  int get_num_closures();
-
-  void dump_graph(const char *filename);
-
-  /* This function is used to create a node of a specified type instead of
-   * calling 'new', and sets the graph as the owner of the node.
-   */
-  template<typename T, typename... Args> T *create_node(Args &&...args)
-  {
-    T *node = new T(args...);
-    node->set_owner(this);
-    return node;
-  }
-
-  /* This function is used to delete a node created and owned by the graph.
-   */
-  template<typename T> void delete_node(T *node)
-  {
-    assert(node->get_owner() == this);
-    delete node;
-  }
-
- protected:
-  typedef pair<ShaderNode *const, ShaderNode *> NodePair;
-
-  void find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input);
-  void clear_nodes();
-  void copy_nodes(ShaderNodeSet &nodes, ShaderNodeMap &nnodemap);
-
-  void break_cycles(ShaderNode *node, vector<bool> &visited, vector<bool> &on_stack);
-  void bump_from_displacement(bool use_object_space);
-  void refine_bump_nodes();
-  void expand();
-  void default_inputs(bool do_osl);
-  void transform_multi_closure(ShaderNode *node, ShaderOutput *weight_out, bool volume);
-
-  /* Graph simplification routines. */
-  void clean(Scene *scene);
-  void constant_fold(Scene *scene);
-  void simplify_settings(Scene *scene);
-  void deduplicate_nodes();
-  void verify_volume_output();
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __GRAPH_H__ */
diff --git a/intern/cycles/render/hair.cpp b/intern/cycles/render/hair.cpp
deleted file mode 100644
index 4656148119a..00000000000
--- a/intern/cycles/render/hair.cpp
+++ /dev/null
@@ -1,632 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "bvh/bvh.h"
-
-#include "render/curves.h"
-#include "render/hair.h"
-#include "render/object.h"
-#include "render/scene.h"
-
-#include "integrator/shader_eval.h"
-
-#include "util/util_progress.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Hair Curve */
-
-void Hair::Curve::bounds_grow(const int k,
-                              const float3 *curve_keys,
-                              const float *curve_radius,
-                              BoundBox &bounds) const
-{
-  float3 P[4];
-
-  P[0] = curve_keys[max(first_key + k - 1, first_key)];
-  P[1] = curve_keys[first_key + k];
-  P[2] = curve_keys[first_key + k + 1];
-  P[3] = curve_keys[min(first_key + k + 2, first_key + num_keys - 1)];
-
-  float3 lower;
-  float3 upper;
-
-  curvebounds(&lower.x, &upper.x, P, 0);
-  curvebounds(&lower.y, &upper.y, P, 1);
-  curvebounds(&lower.z, &upper.z, P, 2);
-
-  float mr = max(curve_radius[first_key + k], curve_radius[first_key + k + 1]);
-
-  bounds.grow(lower, mr);
-  bounds.grow(upper, mr);
-}
-
-void Hair::Curve::bounds_grow(const int k,
-                              const float3 *curve_keys,
-                              const float *curve_radius,
-                              const Transform &aligned_space,
-                              BoundBox &bounds) const
-{
-  float3 P[4];
-
-  P[0] = curve_keys[max(first_key + k - 1, first_key)];
-  P[1] = curve_keys[first_key + k];
-  P[2] = curve_keys[first_key + k + 1];
-  P[3] = curve_keys[min(first_key + k + 2, first_key + num_keys - 1)];
-
-  P[0] = transform_point(&aligned_space, P[0]);
-  P[1] = transform_point(&aligned_space, P[1]);
-  P[2] = transform_point(&aligned_space, P[2]);
-  P[3] = transform_point(&aligned_space, P[3]);
-
-  float3 lower;
-  float3 upper;
-
-  curvebounds(&lower.x, &upper.x, P, 0);
-  curvebounds(&lower.y, &upper.y, P, 1);
-  curvebounds(&lower.z, &upper.z, P, 2);
-
-  float mr = max(curve_radius[first_key + k], curve_radius[first_key + k + 1]);
-
-  bounds.grow(lower, mr);
-  bounds.grow(upper, mr);
-}
-
-void Hair::Curve::bounds_grow(float4 keys[4], BoundBox &bounds) const
-{
-  float3 P[4] = {
-      float4_to_float3(keys[0]),
-      float4_to_float3(keys[1]),
-      float4_to_float3(keys[2]),
-      float4_to_float3(keys[3]),
-  };
-
-  float3 lower;
-  float3 upper;
-
-  curvebounds(&lower.x, &upper.x, P, 0);
-  curvebounds(&lower.y, &upper.y, P, 1);
-  curvebounds(&lower.z, &upper.z, P, 2);
-
-  float mr = max(keys[1].w, keys[2].w);
-
-  bounds.grow(lower, mr);
-  bounds.grow(upper, mr);
-}
-
-void Hair::Curve::motion_keys(const float3 *curve_keys,
-                              const float *curve_radius,
-                              const float3 *key_steps,
-                              size_t num_curve_keys,
-                              size_t num_steps,
-                              float time,
-                              size_t k0,
-                              size_t k1,
-                              float4 r_keys[2]) const
-{
-  /* Figure out which steps we need to fetch and their interpolation factor. */
-  const size_t max_step = num_steps - 1;
-  const size_t step = min((int)(time * max_step), max_step - 1);
-  const float t = time * max_step - step;
-  /* Fetch vertex coordinates. */
-  float4 curr_keys[2];
-  float4 next_keys[2];
-  keys_for_step(
-      curve_keys, curve_radius, key_steps, num_curve_keys, num_steps, step, k0, k1, curr_keys);
-  keys_for_step(
-      curve_keys, curve_radius, key_steps, num_curve_keys, num_steps, step + 1, k0, k1, next_keys);
-  /* Interpolate between steps. */
-  r_keys[0] = (1.0f - t) * curr_keys[0] + t * next_keys[0];
-  r_keys[1] = (1.0f - t) * curr_keys[1] + t * next_keys[1];
-}
-
-void Hair::Curve::cardinal_motion_keys(const float3 *curve_keys,
-                                       const float *curve_radius,
-                                       const float3 *key_steps,
-                                       size_t num_curve_keys,
-                                       size_t num_steps,
-                                       float time,
-                                       size_t k0,
-                                       size_t k1,
-                                       size_t k2,
-                                       size_t k3,
-                                       float4 r_keys[4]) const
-{
-  /* Figure out which steps we need to fetch and their interpolation factor. */
-  const size_t max_step = num_steps - 1;
-  const size_t step = min((int)(time * max_step), max_step - 1);
-  const float t = time * max_step - step;
-  /* Fetch vertex coordinates. */
-  float4 curr_keys[4];
-  float4 next_keys[4];
-  cardinal_keys_for_step(curve_keys,
-                         curve_radius,
-                         key_steps,
-                         num_curve_keys,
-                         num_steps,
-                         step,
-                         k0,
-                         k1,
-                         k2,
-                         k3,
-                         curr_keys);
-  cardinal_keys_for_step(curve_keys,
-                         curve_radius,
-                         key_steps,
-                         num_curve_keys,
-                         num_steps,
-                         step + 1,
-                         k0,
-                         k1,
-                         k2,
-                         k3,
-                         next_keys);
-  /* Interpolate between steps. */
-  r_keys[0] = (1.0f - t) * curr_keys[0] + t * next_keys[0];
-  r_keys[1] = (1.0f - t) * curr_keys[1] + t * next_keys[1];
-  r_keys[2] = (1.0f - t) * curr_keys[2] + t * next_keys[2];
-  r_keys[3] = (1.0f - t) * curr_keys[3] + t * next_keys[3];
-}
-
-void Hair::Curve::keys_for_step(const float3 *curve_keys,
-                                const float *curve_radius,
-                                const float3 *key_steps,
-                                size_t num_curve_keys,
-                                size_t num_steps,
-                                size_t step,
-                                size_t k0,
-                                size_t k1,
-                                float4 r_keys[2]) const
-{
-  k0 = max(k0, 0);
-  k1 = min(k1, num_keys - 1);
-  const size_t center_step = ((num_steps - 1) / 2);
-  if (step == center_step) {
-    /* Center step: regular key location. */
-    /* TODO(sergey): Consider adding make_float4(float3, float)
-     * function.
-     */
-    r_keys[0] = make_float4(curve_keys[first_key + k0].x,
-                            curve_keys[first_key + k0].y,
-                            curve_keys[first_key + k0].z,
-                            curve_radius[first_key + k0]);
-    r_keys[1] = make_float4(curve_keys[first_key + k1].x,
-                            curve_keys[first_key + k1].y,
-                            curve_keys[first_key + k1].z,
-                            curve_radius[first_key + k1]);
-  }
-  else {
-    /* Center step is not stored in this array. */
-    if (step > center_step) {
-      step--;
-    }
-    const size_t offset = first_key + step * num_curve_keys;
-    r_keys[0] = make_float4(key_steps[offset + k0].x,
-                            key_steps[offset + k0].y,
-                            key_steps[offset + k0].z,
-                            curve_radius[first_key + k0]);
-    r_keys[1] = make_float4(key_steps[offset + k1].x,
-                            key_steps[offset + k1].y,
-                            key_steps[offset + k1].z,
-                            curve_radius[first_key + k1]);
-  }
-}
-
-void Hair::Curve::cardinal_keys_for_step(const float3 *curve_keys,
-                                         const float *curve_radius,
-                                         const float3 *key_steps,
-                                         size_t num_curve_keys,
-                                         size_t num_steps,
-                                         size_t step,
-                                         size_t k0,
-                                         size_t k1,
-                                         size_t k2,
-                                         size_t k3,
-                                         float4 r_keys[4]) const
-{
-  k0 = max(k0, 0);
-  k3 = min(k3, num_keys - 1);
-  const size_t center_step = ((num_steps - 1) / 2);
-  if (step == center_step) {
-    /* Center step: regular key location. */
-    r_keys[0] = make_float4(curve_keys[first_key + k0].x,
-                            curve_keys[first_key + k0].y,
-                            curve_keys[first_key + k0].z,
-                            curve_radius[first_key + k0]);
-    r_keys[1] = make_float4(curve_keys[first_key + k1].x,
-                            curve_keys[first_key + k1].y,
-                            curve_keys[first_key + k1].z,
-                            curve_radius[first_key + k1]);
-    r_keys[2] = make_float4(curve_keys[first_key + k2].x,
-                            curve_keys[first_key + k2].y,
-                            curve_keys[first_key + k2].z,
-                            curve_radius[first_key + k2]);
-    r_keys[3] = make_float4(curve_keys[first_key + k3].x,
-                            curve_keys[first_key + k3].y,
-                            curve_keys[first_key + k3].z,
-                            curve_radius[first_key + k3]);
-  }
-  else {
-    /* Center step is not stored in this array. */
-    if (step > center_step) {
-      step--;
-    }
-    const size_t offset = first_key + step * num_curve_keys;
-    r_keys[0] = make_float4(key_steps[offset + k0].x,
-                            key_steps[offset + k0].y,
-                            key_steps[offset + k0].z,
-                            curve_radius[first_key + k0]);
-    r_keys[1] = make_float4(key_steps[offset + k1].x,
-                            key_steps[offset + k1].y,
-                            key_steps[offset + k1].z,
-                            curve_radius[first_key + k1]);
-    r_keys[2] = make_float4(key_steps[offset + k2].x,
-                            key_steps[offset + k2].y,
-                            key_steps[offset + k2].z,
-                            curve_radius[first_key + k2]);
-    r_keys[3] = make_float4(key_steps[offset + k3].x,
-                            key_steps[offset + k3].y,
-                            key_steps[offset + k3].z,
-                            curve_radius[first_key + k3]);
-  }
-}
-
-/* Hair */
-
-NODE_DEFINE(Hair)
-{
-  NodeType *type = NodeType::add("hair", create, NodeType::NONE, Geometry::get_node_base_type());
-
-  SOCKET_POINT_ARRAY(curve_keys, "Curve Keys", array<float3>());
-  SOCKET_FLOAT_ARRAY(curve_radius, "Curve Radius", array<float>());
-  SOCKET_INT_ARRAY(curve_first_key, "Curve First Key", array<int>());
-  SOCKET_INT_ARRAY(curve_shader, "Curve Shader", array<int>());
-
-  return type;
-}
-
-Hair::Hair() : Geometry(get_node_type(), Geometry::HAIR)
-{
-  curve_key_offset = 0;
-  curve_segment_offset = 0;
-  curve_shape = CURVE_RIBBON;
-}
-
-Hair::~Hair()
-{
-}
-
-void Hair::resize_curves(int numcurves, int numkeys)
-{
-  curve_keys.resize(numkeys);
-  curve_radius.resize(numkeys);
-  curve_first_key.resize(numcurves);
-  curve_shader.resize(numcurves);
-
-  attributes.resize();
-}
-
-void Hair::reserve_curves(int numcurves, int numkeys)
-{
-  curve_keys.reserve(numkeys);
-  curve_radius.reserve(numkeys);
-  curve_first_key.reserve(numcurves);
-  curve_shader.reserve(numcurves);
-
-  attributes.resize(true);
-}
-
-void Hair::clear(bool preserve_shaders)
-{
-  Geometry::clear(preserve_shaders);
-
-  curve_keys.clear();
-  curve_radius.clear();
-  curve_first_key.clear();
-  curve_shader.clear();
-
-  attributes.clear();
-}
-
-void Hair::add_curve_key(float3 co, float radius)
-{
-  curve_keys.push_back_reserved(co);
-  curve_radius.push_back_reserved(radius);
-
-  tag_curve_keys_modified();
-  tag_curve_radius_modified();
-}
-
-void Hair::add_curve(int first_key, int shader)
-{
-  curve_first_key.push_back_reserved(first_key);
-  curve_shader.push_back_reserved(shader);
-
-  tag_curve_first_key_modified();
-  tag_curve_shader_modified();
-}
-
-void Hair::copy_center_to_motion_step(const int motion_step)
-{
-  Attribute *attr_mP = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-  if (attr_mP) {
-    float3 *keys = &curve_keys[0];
-    size_t numkeys = curve_keys.size();
-    memcpy(attr_mP->data_float3() + motion_step * numkeys, keys, sizeof(float3) * numkeys);
-  }
-}
-
-void Hair::get_uv_tiles(ustring map, unordered_set<int> &tiles)
-{
-  Attribute *attr;
-
-  if (map.empty()) {
-    attr = attributes.find(ATTR_STD_UV);
-  }
-  else {
-    attr = attributes.find(map);
-  }
-
-  if (attr) {
-    attr->get_uv_tiles(this, ATTR_PRIM_GEOMETRY, tiles);
-  }
-}
-
-void Hair::compute_bounds()
-{
-  BoundBox bnds = BoundBox::empty;
-  size_t curve_keys_size = curve_keys.size();
-
-  if (curve_keys_size > 0) {
-    for (size_t i = 0; i < curve_keys_size; i++)
-      bnds.grow(curve_keys[i], curve_radius[i]);
-
-    Attribute *curve_attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-    if (use_motion_blur && curve_attr) {
-      size_t steps_size = curve_keys.size() * (motion_steps - 1);
-      float3 *key_steps = curve_attr->data_float3();
-
-      for (size_t i = 0; i < steps_size; i++)
-        bnds.grow(key_steps[i]);
-    }
-
-    if (!bnds.valid()) {
-      bnds = BoundBox::empty;
-
-      /* skip nan or inf coordinates */
-      for (size_t i = 0; i < curve_keys_size; i++)
-        bnds.grow_safe(curve_keys[i], curve_radius[i]);
-
-      if (use_motion_blur && curve_attr) {
-        size_t steps_size = curve_keys.size() * (motion_steps - 1);
-        float3 *key_steps = curve_attr->data_float3();
-
-        for (size_t i = 0; i < steps_size; i++)
-          bnds.grow_safe(key_steps[i]);
-      }
-    }
-  }
-
-  if (!bnds.valid()) {
-    /* empty mesh */
-    bnds.grow(zero_float3());
-  }
-
-  bounds = bnds;
-}
-
-void Hair::apply_transform(const Transform &tfm, const bool apply_to_motion)
-{
-  /* compute uniform scale */
-  float3 c0 = transform_get_column(&tfm, 0);
-  float3 c1 = transform_get_column(&tfm, 1);
-  float3 c2 = transform_get_column(&tfm, 2);
-  float scalar = powf(fabsf(dot(cross(c0, c1), c2)), 1.0f / 3.0f);
-
-  /* apply transform to curve keys */
-  for (size_t i = 0; i < curve_keys.size(); i++) {
-    float3 co = transform_point(&tfm, curve_keys[i]);
-    float radius = curve_radius[i] * scalar;
-
-    /* scale for curve radius is only correct for uniform scale */
-    curve_keys[i] = co;
-    curve_radius[i] = radius;
-  }
-
-  tag_curve_keys_modified();
-  tag_curve_radius_modified();
-
-  if (apply_to_motion) {
-    Attribute *curve_attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-
-    if (curve_attr) {
-      /* apply transform to motion curve keys */
-      size_t steps_size = curve_keys.size() * (motion_steps - 1);
-      float4 *key_steps = curve_attr->data_float4();
-
-      for (size_t i = 0; i < steps_size; i++) {
-        float3 co = transform_point(&tfm, float4_to_float3(key_steps[i]));
-        float radius = key_steps[i].w * scalar;
-
-        /* scale for curve radius is only correct for uniform scale */
-        key_steps[i] = float3_to_float4(co);
-        key_steps[i].w = radius;
-      }
-    }
-  }
-}
-
-void Hair::pack_curves(Scene *scene,
-                       float4 *curve_key_co,
-                       KernelCurve *curves,
-                       KernelCurveSegment *curve_segments)
-{
-  size_t curve_keys_size = curve_keys.size();
-
-  /* pack curve keys */
-  if (curve_keys_size) {
-    float3 *keys_ptr = curve_keys.data();
-    float *radius_ptr = curve_radius.data();
-
-    for (size_t i = 0; i < curve_keys_size; i++)
-      curve_key_co[i] = make_float4(keys_ptr[i].x, keys_ptr[i].y, keys_ptr[i].z, radius_ptr[i]);
-  }
-
-  /* pack curve segments */
-  const PrimitiveType type = primitive_type();
-
-  size_t curve_num = num_curves();
-  size_t index = 0;
-
-  for (size_t i = 0; i < curve_num; i++) {
-    Curve curve = get_curve(i);
-    int shader_id = curve_shader[i];
-    Shader *shader = (shader_id < used_shaders.size()) ?
-                         static_cast<Shader *>(used_shaders[shader_id]) :
-                         scene->default_surface;
-    shader_id = scene->shader_manager->get_shader_id(shader, false);
-
-    curves[i].shader_id = shader_id;
-    curves[i].first_key = curve_key_offset + curve.first_key;
-    curves[i].num_keys = curve.num_keys;
-    curves[i].type = type;
-
-    for (int k = 0; k < curve.num_segments(); ++k, ++index) {
-      curve_segments[index].prim = prim_offset + i;
-      curve_segments[index].type = PRIMITIVE_PACK_SEGMENT(type, k);
-    }
-  }
-}
-
-PrimitiveType Hair::primitive_type() const
-{
-  return has_motion_blur() ?
-             ((curve_shape == CURVE_RIBBON) ? PRIMITIVE_MOTION_CURVE_RIBBON :
-                                              PRIMITIVE_MOTION_CURVE_THICK) :
-             ((curve_shape == CURVE_RIBBON) ? PRIMITIVE_CURVE_RIBBON : PRIMITIVE_CURVE_THICK);
-}
-
-/* Fill in coordinates for curve transparency shader evaluation on device. */
-static int fill_shader_input(const Hair *hair,
-                             const int object_index,
-                             device_vector<KernelShaderEvalInput> &d_input)
-{
-  int d_input_size = 0;
-  KernelShaderEvalInput *d_input_data = d_input.data();
-
-  const int num_curves = hair->num_curves();
-  for (int i = 0; i < num_curves; i++) {
-    const Hair::Curve curve = hair->get_curve(i);
-    const int num_segments = curve.num_segments();
-
-    for (int j = 0; j < num_segments + 1; j++) {
-      KernelShaderEvalInput in;
-      in.object = object_index;
-      in.prim = hair->prim_offset + i;
-      in.u = (j < num_segments) ? 0.0f : 1.0f;
-      in.v = (j < num_segments) ? __int_as_float(j) : __int_as_float(j - 1);
-      d_input_data[d_input_size++] = in;
-    }
-  }
-
-  return d_input_size;
-}
-
-/* Read back curve transparency shader output. */
-static void read_shader_output(float *shadow_transparency,
-                               bool &is_fully_opaque,
-                               const device_vector<float> &d_output)
-{
-  const int num_keys = d_output.size();
-  const float *output_data = d_output.data();
-  bool is_opaque = true;
-
-  for (int i = 0; i < num_keys; i++) {
-    shadow_transparency[i] = output_data[i];
-    if (shadow_transparency[i] > 0.0f) {
-      is_opaque = false;
-    }
-  }
-
-  is_fully_opaque = is_opaque;
-}
-
-bool Hair::need_shadow_transparency()
-{
-  for (const Node *node : used_shaders) {
-    const Shader *shader = static_cast<const Shader *>(node);
-    if (shader->has_surface_transparent && shader->get_use_transparent_shadow()) {
-      return true;
-    }
-  }
-
-  return false;
-}
-
-bool Hair::update_shadow_transparency(Device *device, Scene *scene, Progress &progress)
-{
-  if (!need_shadow_transparency()) {
-    /* If no shaders with shadow transparency, remove attribute. */
-    Attribute *attr = attributes.find(ATTR_STD_SHADOW_TRANSPARENCY);
-    if (attr) {
-      attributes.remove(attr);
-      return true;
-    }
-    else {
-      return false;
-    }
-  }
-
-  string msg = string_printf("Computing Shadow Transparency %s", name.c_str());
-  progress.set_status("Updating Hair", msg);
-
-  /* Create shadow transparency attribute. */
-  Attribute *attr = attributes.find(ATTR_STD_SHADOW_TRANSPARENCY);
-  const bool attribute_exists = (attr != nullptr);
-  if (!attribute_exists) {
-    attr = attributes.add(ATTR_STD_SHADOW_TRANSPARENCY);
-  }
-
-  float *attr_data = attr->data_float();
-
-  /* Find object index. */
-  size_t object_index = OBJECT_NONE;
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    if (scene->objects[i]->get_geometry() == this) {
-      object_index = i;
-      break;
-    }
-  }
-
-  /* Evaluate shader on device. */
-  ShaderEval shader_eval(device, progress);
-  bool is_fully_opaque = false;
-  shader_eval.eval(SHADER_EVAL_CURVE_SHADOW_TRANSPARENCY,
-                   num_keys(),
-                   1,
-                   function_bind(&fill_shader_input, this, object_index, _1),
-                   function_bind(&read_shader_output, attr_data, is_fully_opaque, _1));
-
-  if (is_fully_opaque) {
-    attributes.remove(attr);
-    return attribute_exists;
-  }
-
-  return true;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/hair.h b/intern/cycles/render/hair.h
deleted file mode 100644
index 3e91fc3dcbb..00000000000
--- a/intern/cycles/render/hair.h
+++ /dev/null
@@ -1,164 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __HAIR_H__
-#define __HAIR_H__
-
-#include "render/geometry.h"
-
-CCL_NAMESPACE_BEGIN
-
-struct KernelCurveSegment;
-
-class Hair : public Geometry {
- public:
-  NODE_DECLARE
-
-  /* Hair Curve */
-  struct Curve {
-    int first_key;
-    int num_keys;
-
-    int num_segments() const
-    {
-      return num_keys - 1;
-    }
-
-    void bounds_grow(const int k,
-                     const float3 *curve_keys,
-                     const float *curve_radius,
-                     BoundBox &bounds) const;
-    void bounds_grow(float4 keys[4], BoundBox &bounds) const;
-    void bounds_grow(const int k,
-                     const float3 *curve_keys,
-                     const float *curve_radius,
-                     const Transform &aligned_space,
-                     BoundBox &bounds) const;
-
-    void motion_keys(const float3 *curve_keys,
-                     const float *curve_radius,
-                     const float3 *key_steps,
-                     size_t num_curve_keys,
-                     size_t num_steps,
-                     float time,
-                     size_t k0,
-                     size_t k1,
-                     float4 r_keys[2]) const;
-    void cardinal_motion_keys(const float3 *curve_keys,
-                              const float *curve_radius,
-                              const float3 *key_steps,
-                              size_t num_curve_keys,
-                              size_t num_steps,
-                              float time,
-                              size_t k0,
-                              size_t k1,
-                              size_t k2,
-                              size_t k3,
-                              float4 r_keys[4]) const;
-
-    void keys_for_step(const float3 *curve_keys,
-                       const float *curve_radius,
-                       const float3 *key_steps,
-                       size_t num_curve_keys,
-                       size_t num_steps,
-                       size_t step,
-                       size_t k0,
-                       size_t k1,
-                       float4 r_keys[2]) const;
-    void cardinal_keys_for_step(const float3 *curve_keys,
-                                const float *curve_radius,
-                                const float3 *key_steps,
-                                size_t num_curve_keys,
-                                size_t num_steps,
-                                size_t step,
-                                size_t k0,
-                                size_t k1,
-                                size_t k2,
-                                size_t k3,
-                                float4 r_keys[4]) const;
-  };
-
-  NODE_SOCKET_API_ARRAY(array<float3>, curve_keys)
-  NODE_SOCKET_API_ARRAY(array<float>, curve_radius)
-  NODE_SOCKET_API_ARRAY(array<int>, curve_first_key)
-  NODE_SOCKET_API_ARRAY(array<int>, curve_shader)
-
-  /* BVH */
-  size_t curve_key_offset;
-  size_t curve_segment_offset;
-  CurveShapeType curve_shape;
-
-  /* Constructor/Destructor */
-  Hair();
-  ~Hair();
-
-  /* Geometry */
-  void clear(bool preserve_shaders = false) override;
-
-  void resize_curves(int numcurves, int numkeys);
-  void reserve_curves(int numcurves, int numkeys);
-  void add_curve_key(float3 loc, float radius);
-  void add_curve(int first_key, int shader);
-
-  void copy_center_to_motion_step(const int motion_step);
-
-  void compute_bounds() override;
-  void apply_transform(const Transform &tfm, const bool apply_to_motion) override;
-
-  /* Curves */
-  Curve get_curve(size_t i) const
-  {
-    int first = curve_first_key[i];
-    int next_first = (i + 1 < curve_first_key.size()) ? curve_first_key[i + 1] : curve_keys.size();
-
-    Curve curve = {first, next_first - first};
-    return curve;
-  }
-
-  size_t num_keys() const
-  {
-    return curve_keys.size();
-  }
-
-  size_t num_curves() const
-  {
-    return curve_first_key.size();
-  }
-
-  size_t num_segments() const
-  {
-    return curve_keys.size() - curve_first_key.size();
-  }
-
-  /* UDIM */
-  void get_uv_tiles(ustring map, unordered_set<int> &tiles) override;
-
-  /* BVH */
-  void pack_curves(Scene *scene,
-                   float4 *curve_key_co,
-                   KernelCurve *curve,
-                   KernelCurveSegment *curve_segments);
-
-  PrimitiveType primitive_type() const override;
-
-  /* Attributes */
-  bool need_shadow_transparency();
-  bool update_shadow_transparency(Device *device, Scene *scene, Progress &progress);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __HAIR_H__ */
diff --git a/intern/cycles/render/image.cpp b/intern/cycles/render/image.cpp
deleted file mode 100644
index 27f9b7df1dd..00000000000
--- a/intern/cycles/render/image.cpp
+++ /dev/null
@@ -1,905 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/image.h"
-#include "device/device.h"
-#include "render/colorspace.h"
-#include "render/image_oiio.h"
-#include "render/image_vdb.h"
-#include "render/scene.h"
-#include "render/stats.h"
-
-#include "util/util_foreach.h"
-#include "util/util_image.h"
-#include "util/util_image_impl.h"
-#include "util/util_logging.h"
-#include "util/util_path.h"
-#include "util/util_progress.h"
-#include "util/util_task.h"
-#include "util/util_texture.h"
-#include "util/util_unique_ptr.h"
-
-#ifdef WITH_OSL
-#  include <OSL/oslexec.h>
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-namespace {
-
-/* Some helpers to silence warning in templated function. */
-bool isfinite(uchar /*value*/)
-{
-  return true;
-}
-bool isfinite(half /*value*/)
-{
-  return true;
-}
-bool isfinite(uint16_t /*value*/)
-{
-  return true;
-}
-
-const char *name_from_type(ImageDataType type)
-{
-  switch (type) {
-    case IMAGE_DATA_TYPE_FLOAT4:
-      return "float4";
-    case IMAGE_DATA_TYPE_BYTE4:
-      return "byte4";
-    case IMAGE_DATA_TYPE_HALF4:
-      return "half4";
-    case IMAGE_DATA_TYPE_FLOAT:
-      return "float";
-    case IMAGE_DATA_TYPE_BYTE:
-      return "byte";
-    case IMAGE_DATA_TYPE_HALF:
-      return "half";
-    case IMAGE_DATA_TYPE_USHORT4:
-      return "ushort4";
-    case IMAGE_DATA_TYPE_USHORT:
-      return "ushort";
-    case IMAGE_DATA_TYPE_NANOVDB_FLOAT:
-      return "nanovdb_float";
-    case IMAGE_DATA_TYPE_NANOVDB_FLOAT3:
-      return "nanovdb_float3";
-    case IMAGE_DATA_NUM_TYPES:
-      assert(!"System enumerator type, should never be used");
-      return "";
-  }
-  assert(!"Unhandled image data type");
-  return "";
-}
-
-}  // namespace
-
-/* Image Handle */
-
-ImageHandle::ImageHandle() : manager(NULL)
-{
-}
-
-ImageHandle::ImageHandle(const ImageHandle &other)
-    : tile_slots(other.tile_slots), manager(other.manager)
-{
-  /* Increase image user count. */
-  foreach (const int slot, tile_slots) {
-    manager->add_image_user(slot);
-  }
-}
-
-ImageHandle &ImageHandle::operator=(const ImageHandle &other)
-{
-  clear();
-  manager = other.manager;
-  tile_slots = other.tile_slots;
-
-  foreach (const int slot, tile_slots) {
-    manager->add_image_user(slot);
-  }
-
-  return *this;
-}
-
-ImageHandle::~ImageHandle()
-{
-  clear();
-}
-
-void ImageHandle::clear()
-{
-  foreach (const int slot, tile_slots) {
-    manager->remove_image_user(slot);
-  }
-
-  tile_slots.clear();
-  manager = NULL;
-}
-
-bool ImageHandle::empty()
-{
-  return tile_slots.empty();
-}
-
-int ImageHandle::num_tiles()
-{
-  return tile_slots.size();
-}
-
-ImageMetaData ImageHandle::metadata()
-{
-  if (tile_slots.empty()) {
-    return ImageMetaData();
-  }
-
-  ImageManager::Image *img = manager->images[tile_slots.front()];
-  manager->load_image_metadata(img);
-  return img->metadata;
-}
-
-int ImageHandle::svm_slot(const int tile_index) const
-{
-  if (tile_index >= tile_slots.size()) {
-    return -1;
-  }
-
-  if (manager->osl_texture_system) {
-    ImageManager::Image *img = manager->images[tile_slots[tile_index]];
-    if (!img->loader->osl_filepath().empty()) {
-      return -1;
-    }
-  }
-
-  return tile_slots[tile_index];
-}
-
-device_texture *ImageHandle::image_memory(const int tile_index) const
-{
-  if (tile_index >= tile_slots.size()) {
-    return NULL;
-  }
-
-  ImageManager::Image *img = manager->images[tile_slots[tile_index]];
-  return img ? img->mem : NULL;
-}
-
-VDBImageLoader *ImageHandle::vdb_loader(const int tile_index) const
-{
-  if (tile_index >= tile_slots.size()) {
-    return NULL;
-  }
-
-  ImageManager::Image *img = manager->images[tile_slots[tile_index]];
-
-  if (img == NULL) {
-    return NULL;
-  }
-
-  ImageLoader *loader = img->loader;
-
-  if (loader == NULL) {
-    return NULL;
-  }
-
-  if (loader->is_vdb_loader()) {
-    return dynamic_cast<VDBImageLoader *>(loader);
-  }
-
-  return NULL;
-}
-
-bool ImageHandle::operator==(const ImageHandle &other) const
-{
-  return manager == other.manager && tile_slots == other.tile_slots;
-}
-
-/* Image MetaData */
-
-ImageMetaData::ImageMetaData()
-    : channels(0),
-      width(0),
-      height(0),
-      depth(0),
-      byte_size(0),
-      type(IMAGE_DATA_NUM_TYPES),
-      colorspace(u_colorspace_raw),
-      colorspace_file_format(""),
-      use_transform_3d(false),
-      compress_as_srgb(false)
-{
-}
-
-bool ImageMetaData::operator==(const ImageMetaData &other) const
-{
-  return channels == other.channels && width == other.width && height == other.height &&
-         depth == other.depth && use_transform_3d == other.use_transform_3d &&
-         (!use_transform_3d || transform_3d == other.transform_3d) && type == other.type &&
-         colorspace == other.colorspace && compress_as_srgb == other.compress_as_srgb;
-}
-
-bool ImageMetaData::is_float() const
-{
-  return (type == IMAGE_DATA_TYPE_FLOAT || type == IMAGE_DATA_TYPE_FLOAT4 ||
-          type == IMAGE_DATA_TYPE_HALF || type == IMAGE_DATA_TYPE_HALF4);
-}
-
-void ImageMetaData::detect_colorspace()
-{
-  /* Convert used specified color spaces to one we know how to handle. */
-  colorspace = ColorSpaceManager::detect_known_colorspace(
-      colorspace, colorspace_file_format, is_float());
-
-  if (colorspace == u_colorspace_raw) {
-    /* Nothing to do. */
-  }
-  else if (colorspace == u_colorspace_srgb) {
-    /* Keep sRGB colorspace stored as sRGB, to save memory and/or loading time
-     * for the common case of 8bit sRGB images like PNG. */
-    compress_as_srgb = true;
-  }
-  else {
-    /* Always compress non-raw 8bit images as scene linear + sRGB, as a
-     * heuristic to keep memory usage the same without too much data loss
-     * due to quantization in common cases. */
-    compress_as_srgb = (type == IMAGE_DATA_TYPE_BYTE || type == IMAGE_DATA_TYPE_BYTE4);
-
-    /* If colorspace conversion needed, use half instead of short so we can
-     * represent HDR values that might result from conversion. */
-    if (type == IMAGE_DATA_TYPE_USHORT) {
-      type = IMAGE_DATA_TYPE_HALF;
-    }
-    else if (type == IMAGE_DATA_TYPE_USHORT4) {
-      type = IMAGE_DATA_TYPE_HALF4;
-    }
-  }
-}
-
-/* Image Loader */
-
-ImageLoader::ImageLoader()
-{
-}
-
-ustring ImageLoader::osl_filepath() const
-{
-  return ustring();
-}
-
-bool ImageLoader::equals(const ImageLoader *a, const ImageLoader *b)
-{
-  if (a == NULL && b == NULL) {
-    return true;
-  }
-  else {
-    return (a && b && typeid(*a) == typeid(*b) && a->equals(*b));
-  }
-}
-
-bool ImageLoader::is_vdb_loader() const
-{
-  return false;
-}
-
-/* Image Manager */
-
-ImageManager::ImageManager(const DeviceInfo &info)
-{
-  need_update_ = true;
-  osl_texture_system = NULL;
-  animation_frame = 0;
-
-  /* Set image limits */
-  features.has_half_float = info.has_half_images;
-  features.has_nanovdb = info.has_nanovdb;
-}
-
-ImageManager::~ImageManager()
-{
-  for (size_t slot = 0; slot < images.size(); slot++)
-    assert(!images[slot]);
-}
-
-void ImageManager::set_osl_texture_system(void *texture_system)
-{
-  osl_texture_system = texture_system;
-}
-
-bool ImageManager::set_animation_frame_update(int frame)
-{
-  if (frame != animation_frame) {
-    thread_scoped_lock device_lock(images_mutex);
-    animation_frame = frame;
-
-    for (size_t slot = 0; slot < images.size(); slot++) {
-      if (images[slot] && images[slot]->params.animated)
-        return true;
-    }
-  }
-
-  return false;
-}
-
-void ImageManager::load_image_metadata(Image *img)
-{
-  if (!img->need_metadata) {
-    return;
-  }
-
-  thread_scoped_lock image_lock(img->mutex);
-  if (!img->need_metadata) {
-    return;
-  }
-
-  ImageMetaData &metadata = img->metadata;
-  metadata = ImageMetaData();
-  metadata.colorspace = img->params.colorspace;
-
-  if (img->loader->load_metadata(features, metadata)) {
-    assert(metadata.type != IMAGE_DATA_NUM_TYPES);
-  }
-  else {
-    metadata.type = IMAGE_DATA_TYPE_BYTE4;
-  }
-
-  metadata.detect_colorspace();
-
-  assert(features.has_half_float ||
-         (metadata.type != IMAGE_DATA_TYPE_HALF4 && metadata.type != IMAGE_DATA_TYPE_HALF));
-  assert(features.has_nanovdb || (metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT ||
-                                  metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT3));
-
-  img->need_metadata = false;
-}
-
-ImageHandle ImageManager::add_image(const string &filename, const ImageParams &params)
-{
-  const int slot = add_image_slot(new OIIOImageLoader(filename), params, false);
-
-  ImageHandle handle;
-  handle.tile_slots.push_back(slot);
-  handle.manager = this;
-  return handle;
-}
-
-ImageHandle ImageManager::add_image(const string &filename,
-                                    const ImageParams &params,
-                                    const array<int> &tiles)
-{
-  ImageHandle handle;
-  handle.manager = this;
-
-  foreach (int tile, tiles) {
-    string tile_filename = filename;
-    if (tile != 0) {
-      string_replace(tile_filename, "<UDIM>", string_printf("%04d", tile));
-    }
-    const int slot = add_image_slot(new OIIOImageLoader(tile_filename), params, false);
-    handle.tile_slots.push_back(slot);
-  }
-
-  return handle;
-}
-
-ImageHandle ImageManager::add_image(ImageLoader *loader,
-                                    const ImageParams &params,
-                                    const bool builtin)
-{
-  const int slot = add_image_slot(loader, params, builtin);
-
-  ImageHandle handle;
-  handle.tile_slots.push_back(slot);
-  handle.manager = this;
-  return handle;
-}
-
-int ImageManager::add_image_slot(ImageLoader *loader,
-                                 const ImageParams &params,
-                                 const bool builtin)
-{
-  Image *img;
-  size_t slot;
-
-  thread_scoped_lock device_lock(images_mutex);
-
-  /* Find existing image. */
-  for (slot = 0; slot < images.size(); slot++) {
-    img = images[slot];
-    if (img && ImageLoader::equals(img->loader, loader) && img->params == params) {
-      img->users++;
-      delete loader;
-      return slot;
-    }
-  }
-
-  /* Find free slot. */
-  for (slot = 0; slot < images.size(); slot++) {
-    if (!images[slot])
-      break;
-  }
-
-  if (slot == images.size()) {
-    images.resize(images.size() + 1);
-  }
-
-  /* Add new image. */
-  img = new Image();
-  img->params = params;
-  img->loader = loader;
-  img->need_metadata = true;
-  img->need_load = !(osl_texture_system && !img->loader->osl_filepath().empty());
-  img->builtin = builtin;
-  img->users = 1;
-  img->mem = NULL;
-
-  images[slot] = img;
-
-  need_update_ = true;
-
-  return slot;
-}
-
-void ImageManager::add_image_user(int slot)
-{
-  thread_scoped_lock device_lock(images_mutex);
-  Image *image = images[slot];
-  assert(image && image->users >= 1);
-
-  image->users++;
-}
-
-void ImageManager::remove_image_user(int slot)
-{
-  thread_scoped_lock device_lock(images_mutex);
-  Image *image = images[slot];
-  assert(image && image->users >= 1);
-
-  /* decrement user count */
-  image->users--;
-
-  /* don't remove immediately, rather do it all together later on. one of
-   * the reasons for this is that on shader changes we add and remove nodes
-   * that use them, but we do not want to reload the image all the time. */
-  if (image->users == 0)
-    need_update_ = true;
-}
-
-static bool image_associate_alpha(ImageManager::Image *img)
-{
-  /* For typical RGBA images we let OIIO convert to associated alpha,
-   * but some types we want to leave the RGB channels untouched. */
-  return !(ColorSpaceManager::colorspace_is_data(img->params.colorspace) ||
-           img->params.alpha_type == IMAGE_ALPHA_IGNORE ||
-           img->params.alpha_type == IMAGE_ALPHA_CHANNEL_PACKED);
-}
-
-template<TypeDesc::BASETYPE FileFormat, typename StorageType>
-bool ImageManager::file_load_image(Image *img, int texture_limit)
-{
-  /* Ignore empty images. */
-  if (!(img->metadata.channels > 0)) {
-    return false;
-  }
-
-  /* Get metadata. */
-  int width = img->metadata.width;
-  int height = img->metadata.height;
-  int depth = img->metadata.depth;
-  int components = img->metadata.channels;
-
-  /* Read pixels. */
-  vector<StorageType> pixels_storage;
-  StorageType *pixels;
-  const size_t max_size = max(max(width, height), depth);
-  if (max_size == 0) {
-    /* Don't bother with empty images. */
-    return false;
-  }
-
-  /* Allocate memory as needed, may be smaller to resize down. */
-  if (texture_limit > 0 && max_size > texture_limit) {
-    pixels_storage.resize(((size_t)width) * height * depth * 4);
-    pixels = &pixels_storage[0];
-  }
-  else {
-    thread_scoped_lock device_lock(device_mutex);
-    pixels = (StorageType *)img->mem->alloc(width, height, depth);
-  }
-
-  if (pixels == NULL) {
-    /* Could be that we've run out of memory. */
-    return false;
-  }
-
-  const size_t num_pixels = ((size_t)width) * height * depth;
-  img->loader->load_pixels(
-      img->metadata, pixels, num_pixels * components, image_associate_alpha(img));
-
-  /* The kernel can handle 1 and 4 channel images. Anything that is not a single
-   * channel image is converted to RGBA format. */
-  bool is_rgba = (img->metadata.type == IMAGE_DATA_TYPE_FLOAT4 ||
-                  img->metadata.type == IMAGE_DATA_TYPE_HALF4 ||
-                  img->metadata.type == IMAGE_DATA_TYPE_BYTE4 ||
-                  img->metadata.type == IMAGE_DATA_TYPE_USHORT4);
-
-  if (is_rgba) {
-    const StorageType one = util_image_cast_from_float<StorageType>(1.0f);
-
-    if (components == 2) {
-      /* Grayscale + alpha to RGBA. */
-      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
-        pixels[i * 4 + 3] = pixels[i * 2 + 1];
-        pixels[i * 4 + 2] = pixels[i * 2 + 0];
-        pixels[i * 4 + 1] = pixels[i * 2 + 0];
-        pixels[i * 4 + 0] = pixels[i * 2 + 0];
-      }
-    }
-    else if (components == 3) {
-      /* RGB to RGBA. */
-      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
-        pixels[i * 4 + 3] = one;
-        pixels[i * 4 + 2] = pixels[i * 3 + 2];
-        pixels[i * 4 + 1] = pixels[i * 3 + 1];
-        pixels[i * 4 + 0] = pixels[i * 3 + 0];
-      }
-    }
-    else if (components == 1) {
-      /* Grayscale to RGBA. */
-      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
-        pixels[i * 4 + 3] = one;
-        pixels[i * 4 + 2] = pixels[i];
-        pixels[i * 4 + 1] = pixels[i];
-        pixels[i * 4 + 0] = pixels[i];
-      }
-    }
-
-    /* Disable alpha if requested by the user. */
-    if (img->params.alpha_type == IMAGE_ALPHA_IGNORE) {
-      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
-        pixels[i * 4 + 3] = one;
-      }
-    }
-
-    if (img->metadata.colorspace != u_colorspace_raw &&
-        img->metadata.colorspace != u_colorspace_srgb) {
-      /* Convert to scene linear. */
-      ColorSpaceManager::to_scene_linear(
-          img->metadata.colorspace, pixels, num_pixels, img->metadata.compress_as_srgb);
-    }
-  }
-
-  /* Make sure we don't have buggy values. */
-  if (FileFormat == TypeDesc::FLOAT) {
-    /* For RGBA buffers we put all channels to 0 if either of them is not
-     * finite. This way we avoid possible artifacts caused by fully changed
-     * hue. */
-    if (is_rgba) {
-      for (size_t i = 0; i < num_pixels; i += 4) {
-        StorageType *pixel = &pixels[i * 4];
-        if (!isfinite(pixel[0]) || !isfinite(pixel[1]) || !isfinite(pixel[2]) ||
-            !isfinite(pixel[3])) {
-          pixel[0] = 0;
-          pixel[1] = 0;
-          pixel[2] = 0;
-          pixel[3] = 0;
-        }
-      }
-    }
-    else {
-      for (size_t i = 0; i < num_pixels; ++i) {
-        StorageType *pixel = &pixels[i];
-        if (!isfinite(pixel[0])) {
-          pixel[0] = 0;
-        }
-      }
-    }
-  }
-
-  /* Scale image down if needed. */
-  if (pixels_storage.size() > 0) {
-    float scale_factor = 1.0f;
-    while (max_size * scale_factor > texture_limit) {
-      scale_factor *= 0.5f;
-    }
-    VLOG(1) << "Scaling image " << img->loader->name() << " by a factor of " << scale_factor
-            << ".";
-    vector<StorageType> scaled_pixels;
-    size_t scaled_width, scaled_height, scaled_depth;
-    util_image_resize_pixels(pixels_storage,
-                             width,
-                             height,
-                             depth,
-                             is_rgba ? 4 : 1,
-                             scale_factor,
-                             &scaled_pixels,
-                             &scaled_width,
-                             &scaled_height,
-                             &scaled_depth);
-
-    StorageType *texture_pixels;
-
-    {
-      thread_scoped_lock device_lock(device_mutex);
-      texture_pixels = (StorageType *)img->mem->alloc(scaled_width, scaled_height, scaled_depth);
-    }
-
-    memcpy(texture_pixels, &scaled_pixels[0], scaled_pixels.size() * sizeof(StorageType));
-  }
-
-  return true;
-}
-
-void ImageManager::device_load_image(Device *device, Scene *scene, int slot, Progress *progress)
-{
-  if (progress->get_cancel()) {
-    return;
-  }
-
-  Image *img = images[slot];
-
-  progress->set_status("Updating Images", "Loading " + img->loader->name());
-
-  const int texture_limit = scene->params.texture_limit;
-
-  load_image_metadata(img);
-  ImageDataType type = img->metadata.type;
-
-  /* Name for debugging. */
-  img->mem_name = string_printf("__tex_image_%s_%03d", name_from_type(type), slot);
-
-  /* Free previous texture in slot. */
-  if (img->mem) {
-    thread_scoped_lock device_lock(device_mutex);
-    delete img->mem;
-    img->mem = NULL;
-  }
-
-  img->mem = new device_texture(
-      device, img->mem_name.c_str(), slot, type, img->params.interpolation, img->params.extension);
-  img->mem->info.use_transform_3d = img->metadata.use_transform_3d;
-  img->mem->info.transform_3d = img->metadata.transform_3d;
-
-  /* Create new texture. */
-  if (type == IMAGE_DATA_TYPE_FLOAT4) {
-    if (!file_load_image<TypeDesc::FLOAT, float>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      float *pixels = (float *)img->mem->alloc(1, 1);
-
-      pixels[0] = TEX_IMAGE_MISSING_R;
-      pixels[1] = TEX_IMAGE_MISSING_G;
-      pixels[2] = TEX_IMAGE_MISSING_B;
-      pixels[3] = TEX_IMAGE_MISSING_A;
-    }
-  }
-  else if (type == IMAGE_DATA_TYPE_FLOAT) {
-    if (!file_load_image<TypeDesc::FLOAT, float>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      float *pixels = (float *)img->mem->alloc(1, 1);
-
-      pixels[0] = TEX_IMAGE_MISSING_R;
-    }
-  }
-  else if (type == IMAGE_DATA_TYPE_BYTE4) {
-    if (!file_load_image<TypeDesc::UINT8, uchar>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      uchar *pixels = (uchar *)img->mem->alloc(1, 1);
-
-      pixels[0] = (TEX_IMAGE_MISSING_R * 255);
-      pixels[1] = (TEX_IMAGE_MISSING_G * 255);
-      pixels[2] = (TEX_IMAGE_MISSING_B * 255);
-      pixels[3] = (TEX_IMAGE_MISSING_A * 255);
-    }
-  }
-  else if (type == IMAGE_DATA_TYPE_BYTE) {
-    if (!file_load_image<TypeDesc::UINT8, uchar>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      uchar *pixels = (uchar *)img->mem->alloc(1, 1);
-
-      pixels[0] = (TEX_IMAGE_MISSING_R * 255);
-    }
-  }
-  else if (type == IMAGE_DATA_TYPE_HALF4) {
-    if (!file_load_image<TypeDesc::HALF, half>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      half *pixels = (half *)img->mem->alloc(1, 1);
-
-      pixels[0] = TEX_IMAGE_MISSING_R;
-      pixels[1] = TEX_IMAGE_MISSING_G;
-      pixels[2] = TEX_IMAGE_MISSING_B;
-      pixels[3] = TEX_IMAGE_MISSING_A;
-    }
-  }
-  else if (type == IMAGE_DATA_TYPE_USHORT) {
-    if (!file_load_image<TypeDesc::USHORT, uint16_t>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      uint16_t *pixels = (uint16_t *)img->mem->alloc(1, 1);
-
-      pixels[0] = (TEX_IMAGE_MISSING_R * 65535);
-    }
-  }
-  else if (type == IMAGE_DATA_TYPE_USHORT4) {
-    if (!file_load_image<TypeDesc::USHORT, uint16_t>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      uint16_t *pixels = (uint16_t *)img->mem->alloc(1, 1);
-
-      pixels[0] = (TEX_IMAGE_MISSING_R * 65535);
-      pixels[1] = (TEX_IMAGE_MISSING_G * 65535);
-      pixels[2] = (TEX_IMAGE_MISSING_B * 65535);
-      pixels[3] = (TEX_IMAGE_MISSING_A * 65535);
-    }
-  }
-  else if (type == IMAGE_DATA_TYPE_HALF) {
-    if (!file_load_image<TypeDesc::HALF, half>(img, texture_limit)) {
-      /* on failure to load, we set a 1x1 pixels pink image */
-      thread_scoped_lock device_lock(device_mutex);
-      half *pixels = (half *)img->mem->alloc(1, 1);
-
-      pixels[0] = TEX_IMAGE_MISSING_R;
-    }
-  }
-#ifdef WITH_NANOVDB
-  else if (type == IMAGE_DATA_TYPE_NANOVDB_FLOAT || type == IMAGE_DATA_TYPE_NANOVDB_FLOAT3) {
-    thread_scoped_lock device_lock(device_mutex);
-    void *pixels = img->mem->alloc(img->metadata.byte_size, 0);
-
-    if (pixels != NULL) {
-      img->loader->load_pixels(img->metadata, pixels, img->metadata.byte_size, false);
-    }
-  }
-#endif
-
-  {
-    thread_scoped_lock device_lock(device_mutex);
-    img->mem->copy_to_device();
-  }
-
-  /* Cleanup memory in image loader. */
-  img->loader->cleanup();
-  img->need_load = false;
-}
-
-void ImageManager::device_free_image(Device *, int slot)
-{
-  Image *img = images[slot];
-  if (img == NULL) {
-    return;
-  }
-
-  if (osl_texture_system) {
-#ifdef WITH_OSL
-    ustring filepath = img->loader->osl_filepath();
-    if (!filepath.empty()) {
-      ((OSL::TextureSystem *)osl_texture_system)->invalidate(filepath);
-    }
-#endif
-  }
-
-  if (img->mem) {
-    thread_scoped_lock device_lock(device_mutex);
-    delete img->mem;
-  }
-
-  delete img->loader;
-  delete img;
-  images[slot] = NULL;
-}
-
-void ImageManager::device_update(Device *device, Scene *scene, Progress &progress)
-{
-  if (!need_update()) {
-    return;
-  }
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->image.times.add_entry({"device_update", time});
-    }
-  });
-
-  TaskPool pool;
-  for (size_t slot = 0; slot < images.size(); slot++) {
-    Image *img = images[slot];
-    if (img && img->users == 0) {
-      device_free_image(device, slot);
-    }
-    else if (img && img->need_load) {
-      pool.push(
-          function_bind(&ImageManager::device_load_image, this, device, scene, slot, &progress));
-    }
-  }
-
-  pool.wait_work();
-
-  need_update_ = false;
-}
-
-void ImageManager::device_update_slot(Device *device, Scene *scene, int slot, Progress *progress)
-{
-  Image *img = images[slot];
-  assert(img != NULL);
-
-  if (img->users == 0) {
-    device_free_image(device, slot);
-  }
-  else if (img->need_load) {
-    device_load_image(device, scene, slot, progress);
-  }
-}
-
-void ImageManager::device_load_builtin(Device *device, Scene *scene, Progress &progress)
-{
-  /* Load only builtin images, Blender needs this to load evaluated
-   * scene data from depsgraph before it is freed. */
-  if (!need_update()) {
-    return;
-  }
-
-  TaskPool pool;
-  for (size_t slot = 0; slot < images.size(); slot++) {
-    Image *img = images[slot];
-    if (img && img->need_load && img->builtin) {
-      pool.push(
-          function_bind(&ImageManager::device_load_image, this, device, scene, slot, &progress));
-    }
-  }
-
-  pool.wait_work();
-}
-
-void ImageManager::device_free_builtin(Device *device)
-{
-  for (size_t slot = 0; slot < images.size(); slot++) {
-    Image *img = images[slot];
-    if (img && img->builtin) {
-      device_free_image(device, slot);
-    }
-  }
-}
-
-void ImageManager::device_free(Device *device)
-{
-  for (size_t slot = 0; slot < images.size(); slot++) {
-    device_free_image(device, slot);
-  }
-  images.clear();
-}
-
-void ImageManager::collect_statistics(RenderStats *stats)
-{
-  foreach (const Image *image, images) {
-    stats->image.textures.add_entry(
-        NamedSizeEntry(image->loader->name(), image->mem->memory_size()));
-  }
-}
-
-void ImageManager::tag_update()
-{
-  need_update_ = true;
-}
-
-bool ImageManager::need_update() const
-{
-  return need_update_;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/image.h b/intern/cycles/render/image.h
deleted file mode 100644
index dede9513d5f..00000000000
--- a/intern/cycles/render/image.h
+++ /dev/null
@@ -1,249 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __IMAGE_H__
-#define __IMAGE_H__
-
-#include "device/device_memory.h"
-
-#include "render/colorspace.h"
-
-#include "util/util_string.h"
-#include "util/util_thread.h"
-#include "util/util_transform.h"
-#include "util/util_unique_ptr.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceInfo;
-class ImageHandle;
-class ImageKey;
-class ImageMetaData;
-class ImageManager;
-class Progress;
-class RenderStats;
-class Scene;
-class ColorSpaceProcessor;
-class VDBImageLoader;
-
-/* Image Parameters */
-class ImageParams {
- public:
-  bool animated;
-  InterpolationType interpolation;
-  ExtensionType extension;
-  ImageAlphaType alpha_type;
-  ustring colorspace;
-  float frame;
-
-  ImageParams()
-      : animated(false),
-        interpolation(INTERPOLATION_LINEAR),
-        extension(EXTENSION_CLIP),
-        alpha_type(IMAGE_ALPHA_AUTO),
-        colorspace(u_colorspace_raw),
-        frame(0.0f)
-  {
-  }
-
-  bool operator==(const ImageParams &other) const
-  {
-    return (animated == other.animated && interpolation == other.interpolation &&
-            extension == other.extension && alpha_type == other.alpha_type &&
-            colorspace == other.colorspace && frame == other.frame);
-  }
-};
-
-/* Image MetaData
- *
- * Information about the image that is available before the image pixels are loaded. */
-class ImageMetaData {
- public:
-  /* Set by ImageLoader.load_metadata(). */
-  int channels;
-  size_t width, height, depth;
-  size_t byte_size;
-  ImageDataType type;
-
-  /* Optional color space, defaults to raw. */
-  ustring colorspace;
-  const char *colorspace_file_format;
-
-  /* Optional transform for 3D images. */
-  bool use_transform_3d;
-  Transform transform_3d;
-
-  /* Automatically set. */
-  bool compress_as_srgb;
-
-  ImageMetaData();
-  bool operator==(const ImageMetaData &other) const;
-  bool is_float() const;
-  void detect_colorspace();
-};
-
-/* Information about supported features that Image loaders can use. */
-class ImageDeviceFeatures {
- public:
-  bool has_half_float;
-  bool has_nanovdb;
-};
-
-/* Image loader base class, that can be subclassed to load image data
- * from custom sources (file, memory, procedurally generated, etc). */
-class ImageLoader {
- public:
-  ImageLoader();
-  virtual ~ImageLoader(){};
-
-  /* Load metadata without actual image yet, should be fast. */
-  virtual bool load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata) = 0;
-
-  /* Load actual image contents. */
-  virtual bool load_pixels(const ImageMetaData &metadata,
-                           void *pixels,
-                           const size_t pixels_size,
-                           const bool associate_alpha) = 0;
-
-  /* Name for logs and stats. */
-  virtual string name() const = 0;
-
-  /* Optional for OSL texture cache. */
-  virtual ustring osl_filepath() const;
-
-  /* Free any memory used for loading metadata and pixels. */
-  virtual void cleanup(){};
-
-  /* Compare avoid loading the same image multiple times. */
-  virtual bool equals(const ImageLoader &other) const = 0;
-  static bool equals(const ImageLoader *a, const ImageLoader *b);
-
-  virtual bool is_vdb_loader() const;
-
-  /* Work around for no RTTI. */
-};
-
-/* Image Handle
- *
- * Access handle for image in the image manager. Multiple shader nodes may
- * share the same image, and this class handles reference counting for that. */
-class ImageHandle {
- public:
-  ImageHandle();
-  ImageHandle(const ImageHandle &other);
-  ImageHandle &operator=(const ImageHandle &other);
-  ~ImageHandle();
-
-  bool operator==(const ImageHandle &other) const;
-
-  void clear();
-
-  bool empty();
-  int num_tiles();
-
-  ImageMetaData metadata();
-  int svm_slot(const int tile_index = 0) const;
-  device_texture *image_memory(const int tile_index = 0) const;
-
-  VDBImageLoader *vdb_loader(const int tile_index = 0) const;
-
- protected:
-  vector<int> tile_slots;
-  ImageManager *manager;
-
-  friend class ImageManager;
-};
-
-/* Image Manager
- *
- * Handles loading and storage of all images in the scene. This includes 2D
- * texture images and 3D volume images. */
-class ImageManager {
- public:
-  explicit ImageManager(const DeviceInfo &info);
-  ~ImageManager();
-
-  ImageHandle add_image(const string &filename, const ImageParams &params);
-  ImageHandle add_image(const string &filename,
-                        const ImageParams &params,
-                        const array<int> &tiles);
-  ImageHandle add_image(ImageLoader *loader, const ImageParams &params, const bool builtin = true);
-
-  void device_update(Device *device, Scene *scene, Progress &progress);
-  void device_update_slot(Device *device, Scene *scene, int slot, Progress *progress);
-  void device_free(Device *device);
-
-  void device_load_builtin(Device *device, Scene *scene, Progress &progress);
-  void device_free_builtin(Device *device);
-
-  void set_osl_texture_system(void *texture_system);
-  bool set_animation_frame_update(int frame);
-
-  void collect_statistics(RenderStats *stats);
-
-  void tag_update();
-
-  bool need_update() const;
-
-  struct Image {
-    ImageParams params;
-    ImageMetaData metadata;
-    ImageLoader *loader;
-
-    float frame;
-    bool need_metadata;
-    bool need_load;
-    bool builtin;
-
-    string mem_name;
-    device_texture *mem;
-
-    int users;
-    thread_mutex mutex;
-  };
-
- private:
-  bool need_update_;
-
-  ImageDeviceFeatures features;
-
-  thread_mutex device_mutex;
-  thread_mutex images_mutex;
-  int animation_frame;
-
-  vector<Image *> images;
-  void *osl_texture_system;
-
-  int add_image_slot(ImageLoader *loader, const ImageParams &params, const bool builtin);
-  void add_image_user(int slot);
-  void remove_image_user(int slot);
-
-  void load_image_metadata(Image *img);
-
-  template<TypeDesc::BASETYPE FileFormat, typename StorageType>
-  bool file_load_image(Image *img, int texture_limit);
-
-  void device_load_image(Device *device, Scene *scene, int slot, Progress *progress);
-  void device_free_image(Device *device, int slot);
-
-  friend class ImageHandle;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __IMAGE_H__ */
diff --git a/intern/cycles/render/image_oiio.cpp b/intern/cycles/render/image_oiio.cpp
deleted file mode 100644
index 4867efe6ac0..00000000000
--- a/intern/cycles/render/image_oiio.cpp
+++ /dev/null
@@ -1,238 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/image_oiio.h"
-
-#include "util/util_image.h"
-#include "util/util_logging.h"
-#include "util/util_path.h"
-
-CCL_NAMESPACE_BEGIN
-
-OIIOImageLoader::OIIOImageLoader(const string &filepath) : filepath(filepath)
-{
-}
-
-OIIOImageLoader::~OIIOImageLoader()
-{
-}
-
-bool OIIOImageLoader::load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata)
-{
-  /* Perform preliminary checks, with meaningful logging. */
-  if (!path_exists(filepath.string())) {
-    VLOG(1) << "File '" << filepath.string() << "' does not exist.";
-    return false;
-  }
-  if (path_is_directory(filepath.string())) {
-    VLOG(1) << "File '" << filepath.string() << "' is a directory, can't use as image.";
-    return false;
-  }
-
-  unique_ptr<ImageInput> in(ImageInput::create(filepath.string()));
-
-  if (!in) {
-    return false;
-  }
-
-  ImageSpec spec;
-  if (!in->open(filepath.string(), spec)) {
-    return false;
-  }
-
-  metadata.width = spec.width;
-  metadata.height = spec.height;
-  metadata.depth = spec.depth;
-  metadata.compress_as_srgb = false;
-
-  /* Check the main format, and channel formats. */
-  size_t channel_size = spec.format.basesize();
-
-  bool is_float = false;
-  bool is_half = false;
-
-  if (spec.format.is_floating_point()) {
-    is_float = true;
-  }
-
-  for (size_t channel = 0; channel < spec.channelformats.size(); channel++) {
-    channel_size = max(channel_size, spec.channelformats[channel].basesize());
-    if (spec.channelformats[channel].is_floating_point()) {
-      is_float = true;
-    }
-  }
-
-  /* check if it's half float */
-  if (spec.format == TypeDesc::HALF && features.has_half_float) {
-    is_half = true;
-  }
-
-  /* set type and channels */
-  metadata.channels = spec.nchannels;
-
-  if (is_half) {
-    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_HALF4 : IMAGE_DATA_TYPE_HALF;
-  }
-  else if (is_float) {
-    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_FLOAT4 : IMAGE_DATA_TYPE_FLOAT;
-  }
-  else if (spec.format == TypeDesc::USHORT) {
-    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_USHORT4 : IMAGE_DATA_TYPE_USHORT;
-  }
-  else {
-    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_BYTE4 : IMAGE_DATA_TYPE_BYTE;
-  }
-
-  metadata.colorspace_file_format = in->format_name();
-
-  in->close();
-
-  return true;
-}
-
-template<TypeDesc::BASETYPE FileFormat, typename StorageType>
-static void oiio_load_pixels(const ImageMetaData &metadata,
-                             const unique_ptr<ImageInput> &in,
-                             StorageType *pixels)
-{
-  const int width = metadata.width;
-  const int height = metadata.height;
-  const int depth = metadata.depth;
-  const int components = metadata.channels;
-
-  /* Read pixels through OpenImageIO. */
-  StorageType *readpixels = pixels;
-  vector<StorageType> tmppixels;
-  if (components > 4) {
-    tmppixels.resize(((size_t)width) * height * components);
-    readpixels = &tmppixels[0];
-  }
-
-  if (depth <= 1) {
-    size_t scanlinesize = ((size_t)width) * components * sizeof(StorageType);
-    in->read_image(FileFormat,
-                   (uchar *)readpixels + (height - 1) * scanlinesize,
-                   AutoStride,
-                   -scanlinesize,
-                   AutoStride);
-  }
-  else {
-    in->read_image(FileFormat, (uchar *)readpixels);
-  }
-
-  if (components > 4) {
-    size_t dimensions = ((size_t)width) * height;
-    for (size_t i = dimensions - 1, pixel = 0; pixel < dimensions; pixel++, i--) {
-      pixels[i * 4 + 3] = tmppixels[i * components + 3];
-      pixels[i * 4 + 2] = tmppixels[i * components + 2];
-      pixels[i * 4 + 1] = tmppixels[i * components + 1];
-      pixels[i * 4 + 0] = tmppixels[i * components + 0];
-    }
-    tmppixels.clear();
-  }
-
-  /* CMYK to RGBA. */
-  const bool cmyk = strcmp(in->format_name(), "jpeg") == 0 && components == 4;
-  if (cmyk) {
-    const StorageType one = util_image_cast_from_float<StorageType>(1.0f);
-
-    const size_t num_pixels = ((size_t)width) * height * depth;
-    for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
-      float c = util_image_cast_to_float(pixels[i * 4 + 0]);
-      float m = util_image_cast_to_float(pixels[i * 4 + 1]);
-      float y = util_image_cast_to_float(pixels[i * 4 + 2]);
-      float k = util_image_cast_to_float(pixels[i * 4 + 3]);
-      pixels[i * 4 + 0] = util_image_cast_from_float<StorageType>((1.0f - c) * (1.0f - k));
-      pixels[i * 4 + 1] = util_image_cast_from_float<StorageType>((1.0f - m) * (1.0f - k));
-      pixels[i * 4 + 2] = util_image_cast_from_float<StorageType>((1.0f - y) * (1.0f - k));
-      pixels[i * 4 + 3] = one;
-    }
-  }
-}
-
-bool OIIOImageLoader::load_pixels(const ImageMetaData &metadata,
-                                  void *pixels,
-                                  const size_t,
-                                  const bool associate_alpha)
-{
-  unique_ptr<ImageInput> in = NULL;
-
-  /* NOTE: Error logging is done in meta data acquisition. */
-  if (!path_exists(filepath.string()) || path_is_directory(filepath.string())) {
-    return false;
-  }
-
-  /* load image from file through OIIO */
-  in = unique_ptr<ImageInput>(ImageInput::create(filepath.string()));
-  if (!in) {
-    return false;
-  }
-
-  ImageSpec spec = ImageSpec();
-  ImageSpec config = ImageSpec();
-
-  if (!associate_alpha) {
-    config.attribute("oiio:UnassociatedAlpha", 1);
-  }
-
-  if (!in->open(filepath.string(), spec, config)) {
-    return false;
-  }
-
-  switch (metadata.type) {
-    case IMAGE_DATA_TYPE_BYTE:
-    case IMAGE_DATA_TYPE_BYTE4:
-      oiio_load_pixels<TypeDesc::UINT8, uchar>(metadata, in, (uchar *)pixels);
-      break;
-    case IMAGE_DATA_TYPE_USHORT:
-    case IMAGE_DATA_TYPE_USHORT4:
-      oiio_load_pixels<TypeDesc::USHORT, uint16_t>(metadata, in, (uint16_t *)pixels);
-      break;
-    case IMAGE_DATA_TYPE_HALF:
-    case IMAGE_DATA_TYPE_HALF4:
-      oiio_load_pixels<TypeDesc::HALF, half>(metadata, in, (half *)pixels);
-      break;
-    case IMAGE_DATA_TYPE_FLOAT:
-    case IMAGE_DATA_TYPE_FLOAT4:
-      oiio_load_pixels<TypeDesc::FLOAT, float>(metadata, in, (float *)pixels);
-      break;
-    case IMAGE_DATA_TYPE_NANOVDB_FLOAT:
-    case IMAGE_DATA_TYPE_NANOVDB_FLOAT3:
-    case IMAGE_DATA_NUM_TYPES:
-      break;
-  }
-
-  in->close();
-  return true;
-}
-
-string OIIOImageLoader::name() const
-{
-  return path_filename(filepath.string());
-}
-
-ustring OIIOImageLoader::osl_filepath() const
-{
-  return filepath;
-}
-
-bool OIIOImageLoader::equals(const ImageLoader &other) const
-{
-  const OIIOImageLoader &other_loader = (const OIIOImageLoader &)other;
-  return filepath == other_loader.filepath;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/image_oiio.h b/intern/cycles/render/image_oiio.h
deleted file mode 100644
index a6dbb168b65..00000000000
--- a/intern/cycles/render/image_oiio.h
+++ /dev/null
@@ -1,48 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __IMAGE_OIIO__
-#define __IMAGE_OIIO__
-
-#include "render/image.h"
-
-CCL_NAMESPACE_BEGIN
-
-class OIIOImageLoader : public ImageLoader {
- public:
-  OIIOImageLoader(const string &filepath);
-  ~OIIOImageLoader();
-
-  bool load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata) override;
-
-  bool load_pixels(const ImageMetaData &metadata,
-                   void *pixels,
-                   const size_t pixels_size,
-                   const bool associate_alpha) override;
-
-  string name() const override;
-
-  ustring osl_filepath() const override;
-
-  bool equals(const ImageLoader &other) const override;
-
- protected:
-  ustring filepath;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __IMAGE_OIIO__ */
diff --git a/intern/cycles/render/image_sky.cpp b/intern/cycles/render/image_sky.cpp
deleted file mode 100644
index 7f9b85836f8..00000000000
--- a/intern/cycles/render/image_sky.cpp
+++ /dev/null
@@ -1,94 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/image_sky.h"
-
-#include "sky_model.h"
-
-#include "util/util_image.h"
-#include "util/util_logging.h"
-#include "util/util_path.h"
-#include "util/util_task.h"
-
-CCL_NAMESPACE_BEGIN
-
-SkyLoader::SkyLoader(float sun_elevation,
-                     float altitude,
-                     float air_density,
-                     float dust_density,
-                     float ozone_density)
-    : sun_elevation(sun_elevation),
-      altitude(altitude),
-      air_density(air_density),
-      dust_density(dust_density),
-      ozone_density(ozone_density)
-{
-}
-
-SkyLoader::~SkyLoader(){};
-
-bool SkyLoader::load_metadata(const ImageDeviceFeatures &, ImageMetaData &metadata)
-{
-  metadata.width = 512;
-  metadata.height = 128;
-  metadata.channels = 3;
-  metadata.depth = 1;
-  metadata.type = IMAGE_DATA_TYPE_FLOAT4;
-  metadata.compress_as_srgb = false;
-  return true;
-}
-
-bool SkyLoader::load_pixels(const ImageMetaData &metadata,
-                            void *pixels,
-                            const size_t /*pixels_size*/,
-                            const bool /*associate_alpha*/)
-{
-  /* definitions */
-  int width = metadata.width;
-  int height = metadata.height;
-  float *pixel_data = (float *)pixels;
-
-  /* precompute sky texture */
-  const int rows_per_task = divide_up(1024, width);
-  parallel_for(blocked_range<size_t>(0, height, rows_per_task),
-               [&](const blocked_range<size_t> &r) {
-                 SKY_nishita_skymodel_precompute_texture(pixel_data,
-                                                         metadata.channels,
-                                                         r.begin(),
-                                                         r.end(),
-                                                         width,
-                                                         height,
-                                                         sun_elevation,
-                                                         altitude,
-                                                         air_density,
-                                                         dust_density,
-                                                         ozone_density);
-               });
-
-  return true;
-}
-
-string SkyLoader::name() const
-{
-  return "sky_nishita";
-}
-
-bool SkyLoader::equals(const ImageLoader & /*other*/) const
-{
-  return false;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/image_sky.h b/intern/cycles/render/image_sky.h
deleted file mode 100644
index 89ff586e7fd..00000000000
--- a/intern/cycles/render/image_sky.h
+++ /dev/null
@@ -1,49 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/image.h"
-
-CCL_NAMESPACE_BEGIN
-
-class SkyLoader : public ImageLoader {
- private:
-  float sun_elevation;
-  float altitude;
-  float air_density;
-  float dust_density;
-  float ozone_density;
-
- public:
-  SkyLoader(float sun_elevation,
-            float altitude,
-            float air_density,
-            float dust_density,
-            float ozone_density);
-  ~SkyLoader();
-
-  bool load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata) override;
-
-  bool load_pixels(const ImageMetaData &metadata,
-                   void *pixels,
-                   const size_t /*pixels_size*/,
-                   const bool /*associate_alpha*/) override;
-
-  string name() const override;
-
-  bool equals(const ImageLoader & /*other*/) const override;
-};
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/image_vdb.cpp b/intern/cycles/render/image_vdb.cpp
deleted file mode 100644
index 4da11c8a140..00000000000
--- a/intern/cycles/render/image_vdb.cpp
+++ /dev/null
@@ -1,249 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/image_vdb.h"
-
-#include "util/util_logging.h"
-#include "util/util_openvdb.h"
-
-#ifdef WITH_OPENVDB
-#  include <openvdb/tools/Dense.h>
-#endif
-#ifdef WITH_NANOVDB
-#  include <nanovdb/util/OpenToNanoVDB.h>
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-#ifdef WITH_OPENVDB
-struct NumChannelsOp {
-  int num_channels = 0;
-
-  template<typename GridType, typename FloatGridType, typename FloatDataType, int channels>
-  bool operator()(const openvdb::GridBase::ConstPtr &)
-  {
-    num_channels = channels;
-    return true;
-  }
-};
-
-struct ToDenseOp {
-  openvdb::CoordBBox bbox;
-  void *pixels;
-
-  template<typename GridType, typename FloatGridType, typename FloatDataType, int channels>
-  bool operator()(const openvdb::GridBase::ConstPtr &grid)
-  {
-    openvdb::tools::Dense<FloatDataType, openvdb::tools::LayoutXYZ> dense(bbox,
-                                                                          (FloatDataType *)pixels);
-    openvdb::tools::copyToDense(*openvdb::gridConstPtrCast<GridType>(grid), dense);
-    return true;
-  }
-};
-
-#  ifdef WITH_NANOVDB
-struct ToNanoOp {
-  nanovdb::GridHandle<> nanogrid;
-
-  template<typename GridType, typename FloatGridType, typename FloatDataType, int channels>
-  bool operator()(const openvdb::GridBase::ConstPtr &grid)
-  {
-    if constexpr (!std::is_same_v<GridType, openvdb::MaskGrid>) {
-      try {
-        nanogrid = nanovdb::openToNanoVDB(
-            FloatGridType(*openvdb::gridConstPtrCast<GridType>(grid)));
-      }
-      catch (const std::exception &e) {
-        VLOG(1) << "Error converting OpenVDB to NanoVDB grid: " << e.what();
-      }
-      return true;
-    }
-    else {
-      return false;
-    }
-  }
-};
-#  endif
-#endif
-
-VDBImageLoader::VDBImageLoader(const string &grid_name) : grid_name(grid_name)
-{
-}
-
-VDBImageLoader::~VDBImageLoader()
-{
-}
-
-bool VDBImageLoader::load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata)
-{
-#ifdef WITH_OPENVDB
-  if (!grid) {
-    return false;
-  }
-
-  /* Get number of channels from type. */
-  NumChannelsOp op;
-  if (!openvdb::grid_type_operation(grid, op)) {
-    return false;
-  }
-
-  metadata.channels = op.num_channels;
-
-  /* Set data type. */
-#  ifdef WITH_NANOVDB
-  if (features.has_nanovdb) {
-    /* NanoVDB expects no inactive leaf nodes. */
-    /*openvdb::FloatGrid &pruned_grid = *openvdb::gridPtrCast<openvdb::FloatGrid>(grid);
-    openvdb::tools::pruneInactive(pruned_grid.tree());
-    nanogrid = nanovdb::openToNanoVDB(pruned_grid);*/
-    ToNanoOp op;
-    if (!openvdb::grid_type_operation(grid, op)) {
-      return false;
-    }
-    nanogrid = std::move(op.nanogrid);
-  }
-#  endif
-
-  /* Set dimensions. */
-  bbox = grid->evalActiveVoxelBoundingBox();
-  if (bbox.empty()) {
-    return false;
-  }
-
-  openvdb::Coord dim = bbox.dim();
-  metadata.width = dim.x();
-  metadata.height = dim.y();
-  metadata.depth = dim.z();
-
-#  ifdef WITH_NANOVDB
-  if (nanogrid) {
-    metadata.byte_size = nanogrid.size();
-    if (metadata.channels == 1) {
-      metadata.type = IMAGE_DATA_TYPE_NANOVDB_FLOAT;
-    }
-    else {
-      metadata.type = IMAGE_DATA_TYPE_NANOVDB_FLOAT3;
-    }
-  }
-  else
-#  endif
-  {
-    if (metadata.channels == 1) {
-      metadata.type = IMAGE_DATA_TYPE_FLOAT;
-    }
-    else {
-      metadata.type = IMAGE_DATA_TYPE_FLOAT4;
-    }
-  }
-
-  /* Set transform from object space to voxel index. */
-  openvdb::math::Mat4f grid_matrix = grid->transform().baseMap()->getAffineMap()->getMat4();
-  Transform index_to_object;
-  for (int col = 0; col < 4; col++) {
-    for (int row = 0; row < 3; row++) {
-      index_to_object[row][col] = (float)grid_matrix[col][row];
-    }
-  }
-
-  Transform texture_to_index;
-#  ifdef WITH_NANOVDB
-  if (nanogrid) {
-    texture_to_index = transform_identity();
-  }
-  else
-#  endif
-  {
-    openvdb::Coord min = bbox.min();
-    texture_to_index = transform_translate(min.x(), min.y(), min.z()) *
-                       transform_scale(dim.x(), dim.y(), dim.z());
-  }
-
-  metadata.transform_3d = transform_inverse(index_to_object * texture_to_index);
-  metadata.use_transform_3d = true;
-
-#  ifndef WITH_NANOVDB
-  (void)features;
-#  endif
-  return true;
-#else
-  (void)metadata;
-  (void)features;
-  return false;
-#endif
-}
-
-bool VDBImageLoader::load_pixels(const ImageMetaData &, void *pixels, const size_t, const bool)
-{
-#ifdef WITH_OPENVDB
-#  ifdef WITH_NANOVDB
-  if (nanogrid) {
-    memcpy(pixels, nanogrid.data(), nanogrid.size());
-  }
-  else
-#  endif
-  {
-    ToDenseOp op;
-    op.pixels = pixels;
-    op.bbox = bbox;
-    openvdb::grid_type_operation(grid, op);
-  }
-  return true;
-#else
-  (void)pixels;
-  return false;
-#endif
-}
-
-string VDBImageLoader::name() const
-{
-  return grid_name;
-}
-
-bool VDBImageLoader::equals(const ImageLoader &other) const
-{
-#ifdef WITH_OPENVDB
-  const VDBImageLoader &other_loader = (const VDBImageLoader &)other;
-  return grid == other_loader.grid;
-#else
-  (void)other;
-  return true;
-#endif
-}
-
-void VDBImageLoader::cleanup()
-{
-#ifdef WITH_OPENVDB
-  /* Free OpenVDB grid memory as soon as we can. */
-  grid.reset();
-#endif
-#ifdef WITH_NANOVDB
-  nanogrid.reset();
-#endif
-}
-
-bool VDBImageLoader::is_vdb_loader() const
-{
-  return true;
-}
-
-#ifdef WITH_OPENVDB
-openvdb::GridBase::ConstPtr VDBImageLoader::get_grid()
-{
-  return grid;
-}
-#endif
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/image_vdb.h b/intern/cycles/render/image_vdb.h
deleted file mode 100644
index 763196f2a15..00000000000
--- a/intern/cycles/render/image_vdb.h
+++ /dev/null
@@ -1,69 +0,0 @@
-/*
- * Copyright 2011-2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __IMAGE_VDB__
-#define __IMAGE_VDB__
-
-#ifdef WITH_OPENVDB
-#  include <openvdb/openvdb.h>
-#endif
-#ifdef WITH_NANOVDB
-#  include <nanovdb/util/GridHandle.h>
-#endif
-
-#include "render/image.h"
-
-CCL_NAMESPACE_BEGIN
-
-class VDBImageLoader : public ImageLoader {
- public:
-  VDBImageLoader(const string &grid_name);
-  ~VDBImageLoader();
-
-  virtual bool load_metadata(const ImageDeviceFeatures &features,
-                             ImageMetaData &metadata) override;
-
-  virtual bool load_pixels(const ImageMetaData &metadata,
-                           void *pixels,
-                           const size_t pixels_size,
-                           const bool associate_alpha) override;
-
-  virtual string name() const override;
-
-  virtual bool equals(const ImageLoader &other) const override;
-
-  virtual void cleanup() override;
-
-  virtual bool is_vdb_loader() const override;
-
-#ifdef WITH_OPENVDB
-  openvdb::GridBase::ConstPtr get_grid();
-#endif
-
- protected:
-  string grid_name;
-#ifdef WITH_OPENVDB
-  openvdb::GridBase::ConstPtr grid;
-  openvdb::CoordBBox bbox;
-#endif
-#ifdef WITH_NANOVDB
-  nanovdb::GridHandle<> nanogrid;
-#endif
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __IMAGE_VDB__ */
diff --git a/intern/cycles/render/integrator.cpp b/intern/cycles/render/integrator.cpp
deleted file mode 100644
index 06fa7339b51..00000000000
--- a/intern/cycles/render/integrator.cpp
+++ /dev/null
@@ -1,345 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/integrator.h"
-#include "device/device.h"
-#include "render/background.h"
-#include "render/camera.h"
-#include "render/film.h"
-#include "render/jitter.h"
-#include "render/light.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/shader.h"
-#include "render/sobol.h"
-#include "render/stats.h"
-
-#include "kernel/kernel_types.h"
-
-#include "util/util_foreach.h"
-#include "util/util_hash.h"
-#include "util/util_logging.h"
-#include "util/util_task.h"
-#include "util/util_time.h"
-
-CCL_NAMESPACE_BEGIN
-
-NODE_DEFINE(Integrator)
-{
-  NodeType *type = NodeType::add("integrator", create);
-
-  SOCKET_INT(min_bounce, "Min Bounce", 0);
-  SOCKET_INT(max_bounce, "Max Bounce", 7);
-
-  SOCKET_INT(max_diffuse_bounce, "Max Diffuse Bounce", 7);
-  SOCKET_INT(max_glossy_bounce, "Max Glossy Bounce", 7);
-  SOCKET_INT(max_transmission_bounce, "Max Transmission Bounce", 7);
-  SOCKET_INT(max_volume_bounce, "Max Volume Bounce", 7);
-
-  SOCKET_INT(transparent_min_bounce, "Transparent Min Bounce", 0);
-  SOCKET_INT(transparent_max_bounce, "Transparent Max Bounce", 7);
-
-  SOCKET_INT(ao_bounces, "AO Bounces", 0);
-  SOCKET_FLOAT(ao_factor, "AO Factor", 0.0f);
-  SOCKET_FLOAT(ao_distance, "AO Distance", FLT_MAX);
-  SOCKET_FLOAT(ao_additive_factor, "AO Additive Factor", 0.0f);
-
-  SOCKET_INT(volume_max_steps, "Volume Max Steps", 1024);
-  SOCKET_FLOAT(volume_step_rate, "Volume Step Rate", 1.0f);
-
-  SOCKET_BOOLEAN(caustics_reflective, "Reflective Caustics", true);
-  SOCKET_BOOLEAN(caustics_refractive, "Refractive Caustics", true);
-  SOCKET_FLOAT(filter_glossy, "Filter Glossy", 0.0f);
-  SOCKET_INT(seed, "Seed", 0);
-  SOCKET_FLOAT(sample_clamp_direct, "Sample Clamp Direct", 0.0f);
-  SOCKET_FLOAT(sample_clamp_indirect, "Sample Clamp Indirect", 0.0f);
-  SOCKET_BOOLEAN(motion_blur, "Motion Blur", false);
-
-  SOCKET_INT(aa_samples, "AA Samples", 0);
-  SOCKET_INT(start_sample, "Start Sample", 0);
-
-  SOCKET_BOOLEAN(use_adaptive_sampling, "Use Adaptive Sampling", false);
-  SOCKET_FLOAT(adaptive_threshold, "Adaptive Threshold", 0.0f);
-  SOCKET_INT(adaptive_min_samples, "Adaptive Min Samples", 0);
-
-  SOCKET_FLOAT(light_sampling_threshold, "Light Sampling Threshold", 0.05f);
-
-  static NodeEnum sampling_pattern_enum;
-  sampling_pattern_enum.insert("sobol", SAMPLING_PATTERN_SOBOL);
-  sampling_pattern_enum.insert("pmj", SAMPLING_PATTERN_PMJ);
-  SOCKET_ENUM(sampling_pattern, "Sampling Pattern", sampling_pattern_enum, SAMPLING_PATTERN_SOBOL);
-
-  static NodeEnum denoiser_type_enum;
-  denoiser_type_enum.insert("optix", DENOISER_OPTIX);
-  denoiser_type_enum.insert("openimagedenoise", DENOISER_OPENIMAGEDENOISE);
-
-  static NodeEnum denoiser_prefilter_enum;
-  denoiser_prefilter_enum.insert("none", DENOISER_PREFILTER_NONE);
-  denoiser_prefilter_enum.insert("fast", DENOISER_PREFILTER_FAST);
-  denoiser_prefilter_enum.insert("accurate", DENOISER_PREFILTER_ACCURATE);
-
-  /* Default to accurate denoising with OpenImageDenoise. For interactive viewport
-   * it's best use OptiX and disable the normal pass since it does not always have
-   * the desired effect for that denoiser. */
-  SOCKET_BOOLEAN(use_denoise, "Use Denoiser", false);
-  SOCKET_ENUM(denoiser_type, "Denoiser Type", denoiser_type_enum, DENOISER_OPENIMAGEDENOISE);
-  SOCKET_INT(denoise_start_sample, "Start Sample to Denoise", 0);
-  SOCKET_BOOLEAN(use_denoise_pass_albedo, "Use Albedo Pass for Denoiser", true);
-  SOCKET_BOOLEAN(use_denoise_pass_normal, "Use Normal Pass for Denoiser", true);
-  SOCKET_ENUM(
-      denoiser_prefilter, "Denoiser Type", denoiser_prefilter_enum, DENOISER_PREFILTER_ACCURATE);
-
-  return type;
-}
-
-Integrator::Integrator() : Node(get_node_type())
-{
-}
-
-Integrator::~Integrator()
-{
-}
-
-void Integrator::device_update(Device *device, DeviceScene *dscene, Scene *scene)
-{
-  if (!is_modified())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->integrator.times.add_entry({"device_update", time});
-    }
-  });
-
-  KernelIntegrator *kintegrator = &dscene->data.integrator;
-
-  /* Adaptive sampling requires PMJ samples.
-   *
-   * This also makes detection of sampling pattern a bit more involved: can not rely on the changed
-   * state of socket, since its value might be different from the effective value used here. So
-   * instead compare with previous value in the KernelIntegrator. Only do it if the device was
-   * updated once (in which case the `sample_pattern_lut` will be allocated to a non-zero size). */
-  const SamplingPattern new_sampling_pattern = (use_adaptive_sampling) ? SAMPLING_PATTERN_PMJ :
-                                                                         sampling_pattern;
-
-  const bool need_update_lut = max_bounce_is_modified() || max_transmission_bounce_is_modified() ||
-                               dscene->sample_pattern_lut.size() == 0 ||
-                               kintegrator->sampling_pattern != new_sampling_pattern;
-
-  if (need_update_lut) {
-    dscene->sample_pattern_lut.tag_realloc();
-  }
-
-  device_free(device, dscene);
-
-  /* integrator parameters */
-  kintegrator->min_bounce = min_bounce + 1;
-  kintegrator->max_bounce = max_bounce + 1;
-
-  kintegrator->max_diffuse_bounce = max_diffuse_bounce + 1;
-  kintegrator->max_glossy_bounce = max_glossy_bounce + 1;
-  kintegrator->max_transmission_bounce = max_transmission_bounce + 1;
-  kintegrator->max_volume_bounce = max_volume_bounce + 1;
-
-  kintegrator->transparent_min_bounce = transparent_min_bounce + 1;
-  kintegrator->transparent_max_bounce = transparent_max_bounce + 1;
-
-  kintegrator->ao_bounces = ao_bounces;
-  kintegrator->ao_bounces_distance = ao_distance;
-  kintegrator->ao_bounces_factor = ao_factor;
-  kintegrator->ao_additive_factor = ao_additive_factor;
-
-  /* Transparent Shadows
-   * We only need to enable transparent shadows, if we actually have
-   * transparent shaders in the scene. Otherwise we can disable it
-   * to improve performance a bit. */
-  kintegrator->transparent_shadows = false;
-  foreach (Shader *shader, scene->shaders) {
-    /* keep this in sync with SD_HAS_TRANSPARENT_SHADOW in shader.cpp */
-    if ((shader->has_surface_transparent && shader->get_use_transparent_shadow()) ||
-        shader->has_volume) {
-      kintegrator->transparent_shadows = true;
-      break;
-    }
-  }
-
-  kintegrator->volume_max_steps = volume_max_steps;
-  kintegrator->volume_step_rate = volume_step_rate;
-
-  kintegrator->caustics_reflective = caustics_reflective;
-  kintegrator->caustics_refractive = caustics_refractive;
-  kintegrator->filter_glossy = (filter_glossy == 0.0f) ? FLT_MAX : 1.0f / filter_glossy;
-
-  kintegrator->seed = seed;
-
-  kintegrator->sample_clamp_direct = (sample_clamp_direct == 0.0f) ? FLT_MAX :
-                                                                     sample_clamp_direct * 3.0f;
-  kintegrator->sample_clamp_indirect = (sample_clamp_indirect == 0.0f) ?
-                                           FLT_MAX :
-                                           sample_clamp_indirect * 3.0f;
-
-  kintegrator->sampling_pattern = new_sampling_pattern;
-
-  if (light_sampling_threshold > 0.0f) {
-    kintegrator->light_inv_rr_threshold = 1.0f / light_sampling_threshold;
-  }
-  else {
-    kintegrator->light_inv_rr_threshold = 0.0f;
-  }
-
-  /* sobol directions table */
-  int max_samples = max_bounce + transparent_max_bounce + 3 + VOLUME_BOUNDS_MAX +
-                    max(BSSRDF_MAX_HITS, BSSRDF_MAX_BOUNCES);
-
-  int dimensions = PRNG_BASE_NUM + max_samples * PRNG_BOUNCE_NUM;
-  dimensions = min(dimensions, SOBOL_MAX_DIMENSIONS);
-
-  if (need_update_lut) {
-    if (kintegrator->sampling_pattern == SAMPLING_PATTERN_SOBOL) {
-      uint *directions = (uint *)dscene->sample_pattern_lut.alloc(SOBOL_BITS * dimensions);
-
-      sobol_generate_direction_vectors((uint(*)[SOBOL_BITS])directions, dimensions);
-
-      dscene->sample_pattern_lut.copy_to_device();
-    }
-    else {
-      constexpr int sequence_size = NUM_PMJ_SAMPLES;
-      constexpr int num_sequences = NUM_PMJ_PATTERNS;
-      float2 *directions = (float2 *)dscene->sample_pattern_lut.alloc(sequence_size *
-                                                                      num_sequences * 2);
-      TaskPool pool;
-      for (int j = 0; j < num_sequences; ++j) {
-        float2 *sequence = directions + j * sequence_size;
-        pool.push(
-            function_bind(&progressive_multi_jitter_02_generate_2D, sequence, sequence_size, j));
-      }
-      pool.wait_work();
-
-      dscene->sample_pattern_lut.copy_to_device();
-    }
-  }
-
-  kintegrator->has_shadow_catcher = scene->has_shadow_catcher();
-
-  dscene->sample_pattern_lut.clear_modified();
-  clear_modified();
-}
-
-void Integrator::device_free(Device *, DeviceScene *dscene, bool force_free)
-{
-  dscene->sample_pattern_lut.free_if_need_realloc(force_free);
-}
-
-void Integrator::tag_update(Scene *scene, uint32_t flag)
-{
-  if (flag & UPDATE_ALL) {
-    tag_modified();
-  }
-
-  if (flag & AO_PASS_MODIFIED) {
-    /* tag only the ao_bounces socket as modified so we avoid updating sample_pattern_lut
-     * unnecessarily */
-    tag_ao_bounces_modified();
-  }
-
-  if (filter_glossy_is_modified()) {
-    foreach (Shader *shader, scene->shaders) {
-      if (shader->has_integrator_dependency) {
-        scene->shader_manager->tag_update(scene, ShaderManager::INTEGRATOR_MODIFIED);
-        break;
-      }
-    }
-  }
-
-  if (motion_blur_is_modified()) {
-    scene->object_manager->tag_update(scene, ObjectManager::MOTION_BLUR_MODIFIED);
-    scene->camera->tag_modified();
-  }
-}
-
-uint Integrator::get_kernel_features() const
-{
-  uint kernel_features = 0;
-
-  if (ao_additive_factor != 0.0f) {
-    kernel_features |= KERNEL_FEATURE_AO_ADDITIVE;
-  }
-
-  return kernel_features;
-}
-
-AdaptiveSampling Integrator::get_adaptive_sampling() const
-{
-  AdaptiveSampling adaptive_sampling;
-
-  adaptive_sampling.use = use_adaptive_sampling;
-
-  if (!adaptive_sampling.use) {
-    return adaptive_sampling;
-  }
-
-  if (aa_samples > 0 && adaptive_threshold == 0.0f) {
-    adaptive_sampling.threshold = max(0.001f, 1.0f / (float)aa_samples);
-    VLOG(1) << "Cycles adaptive sampling: automatic threshold = " << adaptive_sampling.threshold;
-  }
-  else {
-    adaptive_sampling.threshold = adaptive_threshold;
-  }
-
-  if (adaptive_sampling.threshold > 0 && adaptive_min_samples == 0) {
-    /* Threshold 0.1 -> 32, 0.01 -> 64, 0.001 -> 128.
-     * This is highly scene dependent, we make a guess that seemed to work well
-     * in various test scenes. */
-    const int min_samples = (int)ceilf(16.0f / powf(adaptive_sampling.threshold, 0.3f));
-    adaptive_sampling.min_samples = max(4, min_samples);
-    VLOG(1) << "Cycles adaptive sampling: automatic min samples = "
-            << adaptive_sampling.min_samples;
-  }
-  else {
-    adaptive_sampling.min_samples = max(4, adaptive_min_samples);
-  }
-
-  /* Arbitrary factor that makes the threshold more similar to what is was before,
-   * and gives arguably more intuitive values. */
-  adaptive_sampling.threshold *= 5.0f;
-
-  adaptive_sampling.adaptive_step = 16;
-
-  DCHECK(is_power_of_two(adaptive_sampling.adaptive_step))
-      << "Adaptive step must be a power of two for bitwise operations to work";
-
-  return adaptive_sampling;
-}
-
-DenoiseParams Integrator::get_denoise_params() const
-{
-  DenoiseParams denoise_params;
-
-  denoise_params.use = use_denoise;
-
-  denoise_params.type = denoiser_type;
-
-  denoise_params.start_sample = denoise_start_sample;
-
-  denoise_params.use_pass_albedo = use_denoise_pass_albedo;
-  denoise_params.use_pass_normal = use_denoise_pass_normal;
-
-  denoise_params.prefilter = denoiser_prefilter;
-
-  return denoise_params;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/integrator.h b/intern/cycles/render/integrator.h
deleted file mode 100644
index 468971986c5..00000000000
--- a/intern/cycles/render/integrator.h
+++ /dev/null
@@ -1,113 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __INTEGRATOR_H__
-#define __INTEGRATOR_H__
-
-#include "kernel/kernel_types.h"
-
-#include "device/device_denoise.h" /* For the parameters and type enum. */
-#include "graph/node.h"
-#include "integrator/adaptive_sampling.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Scene;
-
-class Integrator : public Node {
- public:
-  NODE_DECLARE
-
-  NODE_SOCKET_API(int, min_bounce)
-  NODE_SOCKET_API(int, max_bounce)
-
-  NODE_SOCKET_API(int, max_diffuse_bounce)
-  NODE_SOCKET_API(int, max_glossy_bounce)
-  NODE_SOCKET_API(int, max_transmission_bounce)
-  NODE_SOCKET_API(int, max_volume_bounce)
-
-  NODE_SOCKET_API(int, transparent_min_bounce)
-  NODE_SOCKET_API(int, transparent_max_bounce)
-
-  NODE_SOCKET_API(int, ao_bounces)
-  NODE_SOCKET_API(float, ao_factor)
-  NODE_SOCKET_API(float, ao_distance)
-  NODE_SOCKET_API(float, ao_additive_factor)
-
-  NODE_SOCKET_API(int, volume_max_steps)
-  NODE_SOCKET_API(float, volume_step_rate)
-
-  NODE_SOCKET_API(bool, caustics_reflective)
-  NODE_SOCKET_API(bool, caustics_refractive)
-  NODE_SOCKET_API(float, filter_glossy)
-
-  NODE_SOCKET_API(int, seed)
-
-  NODE_SOCKET_API(float, sample_clamp_direct)
-  NODE_SOCKET_API(float, sample_clamp_indirect)
-  NODE_SOCKET_API(bool, motion_blur)
-
-  /* Maximum number of samples, beyond which we are likely to run into
-   * precision issues for sampling patterns. */
-  static const int MAX_SAMPLES = (1 << 24);
-
-  NODE_SOCKET_API(int, aa_samples)
-  NODE_SOCKET_API(int, start_sample)
-
-  NODE_SOCKET_API(float, light_sampling_threshold)
-
-  NODE_SOCKET_API(bool, use_adaptive_sampling)
-  NODE_SOCKET_API(int, adaptive_min_samples)
-  NODE_SOCKET_API(float, adaptive_threshold)
-
-  NODE_SOCKET_API(SamplingPattern, sampling_pattern)
-
-  NODE_SOCKET_API(bool, use_denoise);
-  NODE_SOCKET_API(DenoiserType, denoiser_type);
-  NODE_SOCKET_API(int, denoise_start_sample);
-  NODE_SOCKET_API(bool, use_denoise_pass_albedo);
-  NODE_SOCKET_API(bool, use_denoise_pass_normal);
-  NODE_SOCKET_API(DenoiserPrefilter, denoiser_prefilter);
-
-  enum : uint32_t {
-    AO_PASS_MODIFIED = (1 << 0),
-    OBJECT_MANAGER = (1 << 1),
-
-    /* tag everything in the manager for an update */
-    UPDATE_ALL = ~0u,
-
-    UPDATE_NONE = 0u,
-  };
-
-  Integrator();
-  ~Integrator();
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
-  void device_free(Device *device, DeviceScene *dscene, bool force_free = false);
-
-  void tag_update(Scene *scene, uint32_t flag);
-
-  uint get_kernel_features() const;
-
-  AdaptiveSampling get_adaptive_sampling() const;
-  DenoiseParams get_denoise_params() const;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __INTEGRATOR_H__ */
diff --git a/intern/cycles/render/jitter.cpp b/intern/cycles/render/jitter.cpp
deleted file mode 100644
index e31f8abd446..00000000000
--- a/intern/cycles/render/jitter.cpp
+++ /dev/null
@@ -1,281 +0,0 @@
-/*
- * Copyright 2019 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-/* This file is based on "Progressive Multi-Jittered Sample Sequences"
- * by Per Christensen, Andrew Kensler and Charlie Kilpatrick.
- * http://graphics.pixar.com/library/ProgressiveMultiJitteredSampling/paper.pdf
- *
- * Performance can be improved in the future by implementing the new
- * algorithm from Matt Pharr in  http://jcgt.org/published/0008/01/04/
- * "Efficient Generation of Points that Satisfy Two-Dimensional Elementary Intervals"
- */
-
-#include "render/jitter.h"
-
-#include <math.h>
-#include <vector>
-
-CCL_NAMESPACE_BEGIN
-
-static uint cmj_hash(uint i, uint p)
-{
-  i ^= p;
-  i ^= i >> 17;
-  i ^= i >> 10;
-  i *= 0xb36534e5;
-  i ^= i >> 12;
-  i ^= i >> 21;
-  i *= 0x93fc4795;
-  i ^= 0xdf6e307f;
-  i ^= i >> 17;
-  i *= 1 | p >> 18;
-
-  return i;
-}
-
-static float cmj_randfloat(uint i, uint p)
-{
-  return cmj_hash(i, p) * (1.0f / 4294967808.0f);
-}
-
-class PMJ_Generator {
- public:
-  static void generate_2D(float2 points[], int size, int rng_seed_in)
-  {
-    PMJ_Generator g(rng_seed_in);
-    points[0].x = g.rnd();
-    points[0].y = g.rnd();
-    int N = 1;
-    while (N < size) {
-      g.extend_sequence_even(points, N);
-      g.extend_sequence_odd(points, 2 * N);
-      N = 4 * N;
-    }
-  }
-
- protected:
-  PMJ_Generator(int rnd_seed_in) : num_samples(1), rnd_index(2), rnd_seed(rnd_seed_in)
-  {
-  }
-
-  float rnd()
-  {
-    return cmj_randfloat(++rnd_index, rnd_seed);
-  }
-
-  virtual void mark_occupied_strata(float2 points[], int N)
-  {
-    int NN = 2 * N;
-    for (int s = 0; s < NN; ++s) {
-      occupied1Dx[s] = occupied1Dy[s] = false;
-    }
-    for (int s = 0; s < N; ++s) {
-      int xstratum = (int)(NN * points[s].x);
-      int ystratum = (int)(NN * points[s].y);
-      occupied1Dx[xstratum] = true;
-      occupied1Dy[ystratum] = true;
-    }
-  }
-
-  virtual void generate_sample_point(
-      float2 points[], float i, float j, float xhalf, float yhalf, int n, int N)
-  {
-    int NN = 2 * N;
-    float2 pt;
-    int xstratum, ystratum;
-    do {
-      pt.x = (i + 0.5f * (xhalf + rnd())) / n;
-      xstratum = (int)(NN * pt.x);
-    } while (occupied1Dx[xstratum]);
-    do {
-      pt.y = (j + 0.5f * (yhalf + rnd())) / n;
-      ystratum = (int)(NN * pt.y);
-    } while (occupied1Dy[ystratum]);
-    occupied1Dx[xstratum] = true;
-    occupied1Dy[ystratum] = true;
-    points[num_samples] = pt;
-    ++num_samples;
-  }
-
-  void extend_sequence_even(float2 points[], int N)
-  {
-    int n = (int)sqrtf(N);
-    occupied1Dx.resize(2 * N);
-    occupied1Dy.resize(2 * N);
-    mark_occupied_strata(points, N);
-    for (int s = 0; s < N; ++s) {
-      float2 oldpt = points[s];
-      float i = floorf(n * oldpt.x);
-      float j = floorf(n * oldpt.y);
-      float xhalf = floorf(2.0f * (n * oldpt.x - i));
-      float yhalf = floorf(2.0f * (n * oldpt.y - j));
-      xhalf = 1.0f - xhalf;
-      yhalf = 1.0f - yhalf;
-      generate_sample_point(points, i, j, xhalf, yhalf, n, N);
-    }
-  }
-
-  void extend_sequence_odd(float2 points[], int N)
-  {
-    int n = (int)sqrtf(N / 2);
-    occupied1Dx.resize(2 * N);
-    occupied1Dy.resize(2 * N);
-    mark_occupied_strata(points, N);
-    std::vector<float> xhalves(N / 2);
-    std::vector<float> yhalves(N / 2);
-    for (int s = 0; s < N / 2; ++s) {
-      float2 oldpt = points[s];
-      float i = floorf(n * oldpt.x);
-      float j = floorf(n * oldpt.y);
-      float xhalf = floorf(2.0f * (n * oldpt.x - i));
-      float yhalf = floorf(2.0f * (n * oldpt.y - j));
-      if (rnd() > 0.5f) {
-        xhalf = 1.0f - xhalf;
-      }
-      else {
-        yhalf = 1.0f - yhalf;
-      }
-      xhalves[s] = xhalf;
-      yhalves[s] = yhalf;
-      generate_sample_point(points, i, j, xhalf, yhalf, n, N);
-    }
-    for (int s = 0; s < N / 2; ++s) {
-      float2 oldpt = points[s];
-      float i = floorf(n * oldpt.x);
-      float j = floorf(n * oldpt.y);
-      float xhalf = 1.0f - xhalves[s];
-      float yhalf = 1.0f - yhalves[s];
-      generate_sample_point(points, i, j, xhalf, yhalf, n, N);
-    }
-  }
-
-  std::vector<bool> occupied1Dx, occupied1Dy;
-  int num_samples;
-  int rnd_index, rnd_seed;
-};
-
-class PMJ02_Generator : public PMJ_Generator {
- protected:
-  void generate_sample_point(
-      float2 points[], float i, float j, float xhalf, float yhalf, int n, int N) override
-  {
-    int NN = 2 * N;
-    float2 pt;
-    do {
-      pt.x = (i + 0.5f * (xhalf + rnd())) / n;
-      pt.y = (j + 0.5f * (yhalf + rnd())) / n;
-    } while (is_occupied(pt, NN));
-    mark_occupied_strata1(pt, NN);
-    points[num_samples] = pt;
-    ++num_samples;
-  }
-
-  void mark_occupied_strata(float2 points[], int N) override
-  {
-    int NN = 2 * N;
-    int num_shapes = (int)log2f(NN) + 1;
-    occupiedStrata.resize(num_shapes);
-    for (int shape = 0; shape < num_shapes; ++shape) {
-      occupiedStrata[shape].resize(NN);
-      for (int n = 0; n < NN; ++n) {
-        occupiedStrata[shape][n] = false;
-      }
-    }
-    for (int s = 0; s < N; ++s) {
-      mark_occupied_strata1(points[s], NN);
-    }
-  }
-
-  void mark_occupied_strata1(float2 pt, int NN)
-  {
-    int shape = 0;
-    int xdivs = NN;
-    int ydivs = 1;
-    do {
-      int xstratum = (int)(xdivs * pt.x);
-      int ystratum = (int)(ydivs * pt.y);
-      size_t index = ystratum * xdivs + xstratum;
-      assert(index < NN);
-      occupiedStrata[shape][index] = true;
-      shape = shape + 1;
-      xdivs = xdivs / 2;
-      ydivs = ydivs * 2;
-    } while (xdivs > 0);
-  }
-
-  bool is_occupied(float2 pt, int NN)
-  {
-    int shape = 0;
-    int xdivs = NN;
-    int ydivs = 1;
-    do {
-      int xstratum = (int)(xdivs * pt.x);
-      int ystratum = (int)(ydivs * pt.y);
-      size_t index = ystratum * xdivs + xstratum;
-      assert(index < NN);
-      if (occupiedStrata[shape][index]) {
-        return true;
-      }
-      shape = shape + 1;
-      xdivs = xdivs / 2;
-      ydivs = ydivs * 2;
-    } while (xdivs > 0);
-    return false;
-  }
-
- private:
-  std::vector<std::vector<bool>> occupiedStrata;
-};
-
-static void shuffle(float2 points[], int size, int rng_seed)
-{
-  if (rng_seed == 0) {
-    return;
-  }
-
-  constexpr int odd[8] = {0, 1, 4, 5, 10, 11, 14, 15};
-  constexpr int even[8] = {2, 3, 6, 7, 8, 9, 12, 13};
-
-  int rng_index = 0;
-  for (int yy = 0; yy < size / 16; ++yy) {
-    for (int xx = 0; xx < 8; ++xx) {
-      int other = (int)(cmj_randfloat(++rng_index, rng_seed) * (8.0f - xx) + xx);
-      float2 tmp = points[odd[other] + yy * 16];
-      points[odd[other] + yy * 16] = points[odd[xx] + yy * 16];
-      points[odd[xx] + yy * 16] = tmp;
-    }
-    for (int xx = 0; xx < 8; ++xx) {
-      int other = (int)(cmj_randfloat(++rng_index, rng_seed) * (8.0f - xx) + xx);
-      float2 tmp = points[even[other] + yy * 16];
-      points[even[other] + yy * 16] = points[even[xx] + yy * 16];
-      points[even[xx] + yy * 16] = tmp;
-    }
-  }
-}
-
-void progressive_multi_jitter_generate_2D(float2 points[], int size, int rng_seed)
-{
-  PMJ_Generator::generate_2D(points, size, rng_seed);
-  shuffle(points, size, rng_seed);
-}
-
-void progressive_multi_jitter_02_generate_2D(float2 points[], int size, int rng_seed)
-{
-  PMJ02_Generator::generate_2D(points, size, rng_seed);
-  shuffle(points, size, rng_seed);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/jitter.h b/intern/cycles/render/jitter.h
deleted file mode 100644
index ed34c7a4f4d..00000000000
--- a/intern/cycles/render/jitter.h
+++ /dev/null
@@ -1,29 +0,0 @@
-/*
- * Copyright 2019 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __JITTER_H__
-#define __JITTER_H__
-
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-void progressive_multi_jitter_generate_2D(float2 points[], int size, int rng_seed);
-void progressive_multi_jitter_02_generate_2D(float2 points[], int size, int rng_seed);
-
-CCL_NAMESPACE_END
-
-#endif /* __JITTER_H__ */
diff --git a/intern/cycles/render/light.cpp b/intern/cycles/render/light.cpp
deleted file mode 100644
index 400ed0802a6..00000000000
--- a/intern/cycles/render/light.cpp
+++ /dev/null
@@ -1,1150 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "device/device.h"
-
-#include "render/background.h"
-#include "render/film.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/nodes.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/shader.h"
-#include "render/stats.h"
-
-#include "integrator/shader_eval.h"
-
-#include "util/util_foreach.h"
-#include "util/util_hash.h"
-#include "util/util_logging.h"
-#include "util/util_path.h"
-#include "util/util_progress.h"
-#include "util/util_task.h"
-
-CCL_NAMESPACE_BEGIN
-
-static void shade_background_pixels(Device *device,
-                                    DeviceScene *dscene,
-                                    int width,
-                                    int height,
-                                    vector<float3> &pixels,
-                                    Progress &progress)
-{
-  /* Needs to be up to data for attribute access. */
-  device->const_copy_to("__data", &dscene->data, sizeof(dscene->data));
-
-  const int size = width * height;
-  const int num_channels = 3;
-  pixels.resize(size);
-
-  /* Evaluate shader on device. */
-  ShaderEval shader_eval(device, progress);
-  shader_eval.eval(
-      SHADER_EVAL_BACKGROUND,
-      size,
-      num_channels,
-      [&](device_vector<KernelShaderEvalInput> &d_input) {
-        /* Fill coordinates for shading. */
-        KernelShaderEvalInput *d_input_data = d_input.data();
-
-        for (int y = 0; y < height; y++) {
-          for (int x = 0; x < width; x++) {
-            float u = (x + 0.5f) / width;
-            float v = (y + 0.5f) / height;
-
-            KernelShaderEvalInput in;
-            in.object = OBJECT_NONE;
-            in.prim = PRIM_NONE;
-            in.u = u;
-            in.v = v;
-            d_input_data[x + y * width] = in;
-          }
-        }
-
-        return size;
-      },
-      [&](device_vector<float> &d_output) {
-        /* Copy output to pixel buffer. */
-        float *d_output_data = d_output.data();
-
-        for (int y = 0; y < height; y++) {
-          for (int x = 0; x < width; x++) {
-            pixels[y * width + x].x = d_output_data[(y * width + x) * num_channels + 0];
-            pixels[y * width + x].y = d_output_data[(y * width + x) * num_channels + 1];
-            pixels[y * width + x].z = d_output_data[(y * width + x) * num_channels + 2];
-          }
-        }
-      });
-}
-
-/* Light */
-
-NODE_DEFINE(Light)
-{
-  NodeType *type = NodeType::add("light", create);
-
-  static NodeEnum type_enum;
-  type_enum.insert("point", LIGHT_POINT);
-  type_enum.insert("distant", LIGHT_DISTANT);
-  type_enum.insert("background", LIGHT_BACKGROUND);
-  type_enum.insert("area", LIGHT_AREA);
-  type_enum.insert("spot", LIGHT_SPOT);
-  SOCKET_ENUM(light_type, "Type", type_enum, LIGHT_POINT);
-
-  SOCKET_COLOR(strength, "Strength", one_float3());
-
-  SOCKET_POINT(co, "Co", zero_float3());
-
-  SOCKET_VECTOR(dir, "Dir", zero_float3());
-  SOCKET_FLOAT(size, "Size", 0.0f);
-  SOCKET_FLOAT(angle, "Angle", 0.0f);
-
-  SOCKET_VECTOR(axisu, "Axis U", zero_float3());
-  SOCKET_FLOAT(sizeu, "Size U", 1.0f);
-  SOCKET_VECTOR(axisv, "Axis V", zero_float3());
-  SOCKET_FLOAT(sizev, "Size V", 1.0f);
-  SOCKET_BOOLEAN(round, "Round", false);
-  SOCKET_FLOAT(spread, "Spread", M_PI_F);
-
-  SOCKET_INT(map_resolution, "Map Resolution", 0);
-
-  SOCKET_FLOAT(spot_angle, "Spot Angle", M_PI_4_F);
-  SOCKET_FLOAT(spot_smooth, "Spot Smooth", 0.0f);
-
-  SOCKET_TRANSFORM(tfm, "Transform", transform_identity());
-
-  SOCKET_BOOLEAN(cast_shadow, "Cast Shadow", true);
-  SOCKET_BOOLEAN(use_mis, "Use Mis", false);
-  SOCKET_BOOLEAN(use_camera, "Use Camera", true);
-  SOCKET_BOOLEAN(use_diffuse, "Use Diffuse", true);
-  SOCKET_BOOLEAN(use_glossy, "Use Glossy", true);
-  SOCKET_BOOLEAN(use_transmission, "Use Transmission", true);
-  SOCKET_BOOLEAN(use_scatter, "Use Scatter", true);
-
-  SOCKET_INT(max_bounces, "Max Bounces", 1024);
-  SOCKET_UINT(random_id, "Random ID", 0);
-
-  SOCKET_BOOLEAN(is_shadow_catcher, "Shadow Catcher", true);
-  SOCKET_BOOLEAN(is_portal, "Is Portal", false);
-  SOCKET_BOOLEAN(is_enabled, "Is Enabled", true);
-
-  SOCKET_NODE(shader, "Shader", Shader::get_node_type());
-
-  return type;
-}
-
-Light::Light() : Node(get_node_type())
-{
-  dereference_all_used_nodes();
-}
-
-void Light::tag_update(Scene *scene)
-{
-  if (is_modified()) {
-    scene->light_manager->tag_update(scene, LightManager::LIGHT_MODIFIED);
-  }
-}
-
-bool Light::has_contribution(Scene *scene)
-{
-  if (strength == zero_float3()) {
-    return false;
-  }
-  if (is_portal) {
-    return false;
-  }
-  if (light_type == LIGHT_BACKGROUND) {
-    return true;
-  }
-  return (shader) ? shader->has_surface_emission : scene->default_light->has_surface_emission;
-}
-
-/* Light Manager */
-
-LightManager::LightManager()
-{
-  update_flags = UPDATE_ALL;
-  need_update_background = true;
-  last_background_enabled = false;
-  last_background_resolution = 0;
-}
-
-LightManager::~LightManager()
-{
-  foreach (IESSlot *slot, ies_slots) {
-    delete slot;
-  }
-}
-
-bool LightManager::has_background_light(Scene *scene)
-{
-  foreach (Light *light, scene->lights) {
-    if (light->light_type == LIGHT_BACKGROUND && light->is_enabled) {
-      return true;
-    }
-  }
-  return false;
-}
-
-void LightManager::test_enabled_lights(Scene *scene)
-{
-  /* Make all lights enabled by default, and perform some preliminary checks
-   * needed for finer-tuning of settings (for example, check whether we've
-   * got portals or not).
-   */
-  bool has_portal = false, has_background = false;
-  foreach (Light *light, scene->lights) {
-    light->is_enabled = light->has_contribution(scene);
-    has_portal |= light->is_portal;
-    has_background |= light->light_type == LIGHT_BACKGROUND;
-  }
-
-  bool background_enabled = false;
-  int background_resolution = 0;
-
-  if (has_background) {
-    /* Ignore background light if:
-     * - If unsupported on a device
-     * - If we don't need it (no HDRs etc.)
-     */
-    Shader *shader = scene->background->get_shader(scene);
-    const bool disable_mis = !(has_portal || shader->has_surface_spatial_varying);
-    VLOG_IF(1, disable_mis) << "Background MIS has been disabled.\n";
-    foreach (Light *light, scene->lights) {
-      if (light->light_type == LIGHT_BACKGROUND) {
-        light->is_enabled = !disable_mis;
-        background_enabled = !disable_mis;
-        background_resolution = light->map_resolution;
-      }
-    }
-  }
-
-  if (last_background_enabled != background_enabled ||
-      last_background_resolution != background_resolution) {
-    last_background_enabled = background_enabled;
-    last_background_resolution = background_resolution;
-    need_update_background = true;
-  }
-}
-
-bool LightManager::object_usable_as_light(Object *object)
-{
-  Geometry *geom = object->get_geometry();
-  if (geom->geometry_type != Geometry::MESH && geom->geometry_type != Geometry::VOLUME) {
-    return false;
-  }
-  /* Skip objects with NaNs */
-  if (!object->bounds.valid()) {
-    return false;
-  }
-  /* Skip if we are not visible for BSDFs. */
-  if (!(object->get_visibility() & (PATH_RAY_DIFFUSE | PATH_RAY_GLOSSY | PATH_RAY_TRANSMIT))) {
-    return false;
-  }
-  /* Skip if we have no emission shaders. */
-  /* TODO(sergey): Ideally we want to avoid such duplicated loop, since it'll
-   * iterate all geometry shaders twice (when counting and when calculating
-   * triangle area.
-   */
-  foreach (Node *node, geom->get_used_shaders()) {
-    Shader *shader = static_cast<Shader *>(node);
-    if (shader->get_use_mis() && shader->has_surface_emission) {
-      return true;
-    }
-  }
-  return false;
-}
-
-void LightManager::device_update_distribution(Device *,
-                                              DeviceScene *dscene,
-                                              Scene *scene,
-                                              Progress &progress)
-{
-  progress.set_status("Updating Lights", "Computing distribution");
-
-  /* count */
-  size_t num_lights = 0;
-  size_t num_portals = 0;
-  size_t num_background_lights = 0;
-  size_t num_triangles = 0;
-
-  bool background_mis = false;
-
-  foreach (Light *light, scene->lights) {
-    if (light->is_enabled) {
-      num_lights++;
-    }
-    if (light->is_portal) {
-      num_portals++;
-    }
-  }
-
-  foreach (Object *object, scene->objects) {
-    if (progress.get_cancel())
-      return;
-
-    if (!object_usable_as_light(object)) {
-      continue;
-    }
-
-    /* Count triangles. */
-    Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
-    size_t mesh_num_triangles = mesh->num_triangles();
-    for (size_t i = 0; i < mesh_num_triangles; i++) {
-      int shader_index = mesh->get_shader()[i];
-      Shader *shader = (shader_index < mesh->get_used_shaders().size()) ?
-                           static_cast<Shader *>(mesh->get_used_shaders()[shader_index]) :
-                           scene->default_surface;
-
-      if (shader->get_use_mis() && shader->has_surface_emission) {
-        num_triangles++;
-      }
-    }
-  }
-
-  size_t num_distribution = num_triangles + num_lights;
-  VLOG(1) << "Total " << num_distribution << " of light distribution primitives.";
-
-  /* emission area */
-  KernelLightDistribution *distribution = dscene->light_distribution.alloc(num_distribution + 1);
-  float totarea = 0.0f;
-
-  /* triangles */
-  size_t offset = 0;
-  int j = 0;
-
-  foreach (Object *object, scene->objects) {
-    if (progress.get_cancel())
-      return;
-
-    if (!object_usable_as_light(object)) {
-      j++;
-      continue;
-    }
-    /* Sum area. */
-    Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
-    bool transform_applied = mesh->transform_applied;
-    Transform tfm = object->get_tfm();
-    int object_id = j;
-    int shader_flag = 0;
-
-    if (!(object->get_visibility() & PATH_RAY_CAMERA)) {
-      shader_flag |= SHADER_EXCLUDE_CAMERA;
-    }
-    if (!(object->get_visibility() & PATH_RAY_DIFFUSE)) {
-      shader_flag |= SHADER_EXCLUDE_DIFFUSE;
-    }
-    if (!(object->get_visibility() & PATH_RAY_GLOSSY)) {
-      shader_flag |= SHADER_EXCLUDE_GLOSSY;
-    }
-    if (!(object->get_visibility() & PATH_RAY_TRANSMIT)) {
-      shader_flag |= SHADER_EXCLUDE_TRANSMIT;
-    }
-    if (!(object->get_visibility() & PATH_RAY_VOLUME_SCATTER)) {
-      shader_flag |= SHADER_EXCLUDE_SCATTER;
-    }
-    if (!(object->get_is_shadow_catcher())) {
-      shader_flag |= SHADER_EXCLUDE_SHADOW_CATCHER;
-    }
-
-    size_t mesh_num_triangles = mesh->num_triangles();
-    for (size_t i = 0; i < mesh_num_triangles; i++) {
-      int shader_index = mesh->get_shader()[i];
-      Shader *shader = (shader_index < mesh->get_used_shaders().size()) ?
-                           static_cast<Shader *>(mesh->get_used_shaders()[shader_index]) :
-                           scene->default_surface;
-
-      if (shader->get_use_mis() && shader->has_surface_emission) {
-        distribution[offset].totarea = totarea;
-        distribution[offset].prim = i + mesh->prim_offset;
-        distribution[offset].mesh_light.shader_flag = shader_flag;
-        distribution[offset].mesh_light.object_id = object_id;
-        offset++;
-
-        Mesh::Triangle t = mesh->get_triangle(i);
-        if (!t.valid(&mesh->get_verts()[0])) {
-          continue;
-        }
-        float3 p1 = mesh->get_verts()[t.v[0]];
-        float3 p2 = mesh->get_verts()[t.v[1]];
-        float3 p3 = mesh->get_verts()[t.v[2]];
-
-        if (!transform_applied) {
-          p1 = transform_point(&tfm, p1);
-          p2 = transform_point(&tfm, p2);
-          p3 = transform_point(&tfm, p3);
-        }
-
-        totarea += triangle_area(p1, p2, p3);
-      }
-    }
-
-    j++;
-  }
-
-  float trianglearea = totarea;
-  /* point lights */
-  bool use_lamp_mis = false;
-  int light_index = 0;
-
-  if (num_lights > 0) {
-    float lightarea = (totarea > 0.0f) ? totarea / num_lights : 1.0f;
-    foreach (Light *light, scene->lights) {
-      if (!light->is_enabled)
-        continue;
-
-      distribution[offset].totarea = totarea;
-      distribution[offset].prim = ~light_index;
-      distribution[offset].lamp.pad = 1.0f;
-      distribution[offset].lamp.size = light->size;
-      totarea += lightarea;
-
-      if (light->light_type == LIGHT_DISTANT) {
-        use_lamp_mis |= (light->angle > 0.0f && light->use_mis);
-      }
-      else if (light->light_type == LIGHT_POINT || light->light_type == LIGHT_SPOT) {
-        use_lamp_mis |= (light->size > 0.0f && light->use_mis);
-      }
-      else if (light->light_type == LIGHT_AREA) {
-        use_lamp_mis |= light->use_mis;
-      }
-      else if (light->light_type == LIGHT_BACKGROUND) {
-        num_background_lights++;
-        background_mis |= light->use_mis;
-      }
-
-      light_index++;
-      offset++;
-    }
-  }
-
-  /* normalize cumulative distribution functions */
-  distribution[num_distribution].totarea = totarea;
-  distribution[num_distribution].prim = 0.0f;
-  distribution[num_distribution].lamp.pad = 0.0f;
-  distribution[num_distribution].lamp.size = 0.0f;
-
-  if (totarea > 0.0f) {
-    for (size_t i = 0; i < num_distribution; i++)
-      distribution[i].totarea /= totarea;
-    distribution[num_distribution].totarea = 1.0f;
-  }
-
-  if (progress.get_cancel())
-    return;
-
-  /* update device */
-  KernelIntegrator *kintegrator = &dscene->data.integrator;
-  KernelBackground *kbackground = &dscene->data.background;
-  KernelFilm *kfilm = &dscene->data.film;
-  kintegrator->use_direct_light = (totarea > 0.0f);
-
-  if (kintegrator->use_direct_light) {
-    /* number of emissives */
-    kintegrator->num_distribution = num_distribution;
-
-    /* precompute pdfs */
-    kintegrator->pdf_triangles = 0.0f;
-    kintegrator->pdf_lights = 0.0f;
-
-    /* sample one, with 0.5 probability of light or triangle */
-    kintegrator->num_all_lights = num_lights;
-
-    if (trianglearea > 0.0f) {
-      kintegrator->pdf_triangles = 1.0f / trianglearea;
-      if (num_lights)
-        kintegrator->pdf_triangles *= 0.5f;
-    }
-
-    if (num_lights) {
-      kintegrator->pdf_lights = 1.0f / num_lights;
-      if (trianglearea > 0.0f)
-        kintegrator->pdf_lights *= 0.5f;
-    }
-
-    kintegrator->use_lamp_mis = use_lamp_mis;
-
-    /* bit of an ugly hack to compensate for emitting triangles influencing
-     * amount of samples we get for this pass */
-    kfilm->pass_shadow_scale = 1.0f;
-
-    if (kintegrator->pdf_triangles != 0.0f)
-      kfilm->pass_shadow_scale /= 0.5f;
-
-    if (num_background_lights < num_lights)
-      kfilm->pass_shadow_scale /= (float)(num_lights - num_background_lights) / (float)num_lights;
-
-    /* CDF */
-    dscene->light_distribution.copy_to_device();
-
-    /* Portals */
-    if (num_portals > 0) {
-      kbackground->portal_offset = light_index;
-      kbackground->num_portals = num_portals;
-      kbackground->portal_weight = 1.0f;
-    }
-    else {
-      kbackground->num_portals = 0;
-      kbackground->portal_offset = 0;
-      kbackground->portal_weight = 0.0f;
-    }
-
-    /* Map */
-    kbackground->map_weight = background_mis ? 1.0f : 0.0f;
-  }
-  else {
-    dscene->light_distribution.free();
-
-    kintegrator->num_distribution = 0;
-    kintegrator->num_all_lights = 0;
-    kintegrator->pdf_triangles = 0.0f;
-    kintegrator->pdf_lights = 0.0f;
-    kintegrator->use_lamp_mis = false;
-
-    kbackground->num_portals = 0;
-    kbackground->portal_offset = 0;
-    kbackground->portal_weight = 0.0f;
-    kbackground->sun_weight = 0.0f;
-    kbackground->map_weight = 0.0f;
-
-    kfilm->pass_shadow_scale = 1.0f;
-  }
-}
-
-static void background_cdf(
-    int start, int end, int res_x, int res_y, const vector<float3> *pixels, float2 *cond_cdf)
-{
-  int cdf_width = res_x + 1;
-  /* Conditional CDFs (rows, U direction). */
-  for (int i = start; i < end; i++) {
-    float sin_theta = sinf(M_PI_F * (i + 0.5f) / res_y);
-    float3 env_color = (*pixels)[i * res_x];
-    float ave_luminance = average(env_color);
-
-    cond_cdf[i * cdf_width].x = ave_luminance * sin_theta;
-    cond_cdf[i * cdf_width].y = 0.0f;
-
-    for (int j = 1; j < res_x; j++) {
-      env_color = (*pixels)[i * res_x + j];
-      ave_luminance = average(env_color);
-
-      cond_cdf[i * cdf_width + j].x = ave_luminance * sin_theta;
-      cond_cdf[i * cdf_width + j].y = cond_cdf[i * cdf_width + j - 1].y +
-                                      cond_cdf[i * cdf_width + j - 1].x / res_x;
-    }
-
-    const float cdf_total = cond_cdf[i * cdf_width + res_x - 1].y +
-                            cond_cdf[i * cdf_width + res_x - 1].x / res_x;
-
-    /* stuff the total into the brightness value for the last entry, because
-     * we are going to normalize the CDFs to 0.0 to 1.0 afterwards */
-    cond_cdf[i * cdf_width + res_x].x = cdf_total;
-
-    if (cdf_total > 0.0f) {
-      const float cdf_total_inv = 1.0f / cdf_total;
-      for (int j = 1; j < res_x; j++) {
-        cond_cdf[i * cdf_width + j].y *= cdf_total_inv;
-      }
-    }
-
-    cond_cdf[i * cdf_width + res_x].y = 1.0f;
-  }
-}
-
-void LightManager::device_update_background(Device *device,
-                                            DeviceScene *dscene,
-                                            Scene *scene,
-                                            Progress &progress)
-{
-  KernelBackground *kbackground = &dscene->data.background;
-  Light *background_light = NULL;
-
-  /* find background light */
-  foreach (Light *light, scene->lights) {
-    if (light->light_type == LIGHT_BACKGROUND) {
-      background_light = light;
-      break;
-    }
-  }
-
-  /* no background light found, signal renderer to skip sampling */
-  if (!background_light || !background_light->is_enabled) {
-    kbackground->map_res_x = 0;
-    kbackground->map_res_y = 0;
-    kbackground->map_weight = 0.0f;
-    kbackground->sun_weight = 0.0f;
-    kbackground->use_mis = (kbackground->portal_weight > 0.0f);
-    return;
-  }
-
-  progress.set_status("Updating Lights", "Importance map");
-
-  assert(dscene->data.integrator.use_direct_light);
-
-  int2 environment_res = make_int2(0, 0);
-  Shader *shader = scene->background->get_shader(scene);
-  int num_suns = 0;
-  foreach (ShaderNode *node, shader->graph->nodes) {
-    if (node->type == EnvironmentTextureNode::get_node_type()) {
-      EnvironmentTextureNode *env = (EnvironmentTextureNode *)node;
-      ImageMetaData metadata;
-      if (!env->handle.empty()) {
-        ImageMetaData metadata = env->handle.metadata();
-        environment_res.x = max(environment_res.x, metadata.width);
-        environment_res.y = max(environment_res.y, metadata.height);
-      }
-    }
-    if (node->type == SkyTextureNode::get_node_type()) {
-      SkyTextureNode *sky = (SkyTextureNode *)node;
-      if (sky->get_sky_type() == NODE_SKY_NISHITA && sky->get_sun_disc()) {
-        /* Ensure that the input coordinates aren't transformed before they reach the node.
-         * If that is the case, the logic used for sampling the sun's location does not work
-         * and we have to fall back to map-based sampling. */
-        const ShaderInput *vec_in = sky->input("Vector");
-        if (vec_in && vec_in->link && vec_in->link->parent) {
-          ShaderNode *vec_src = vec_in->link->parent;
-          if ((vec_src->type != TextureCoordinateNode::get_node_type()) ||
-              (vec_in->link != vec_src->output("Generated"))) {
-            environment_res.x = max(environment_res.x, 4096);
-            environment_res.y = max(environment_res.y, 2048);
-            continue;
-          }
-        }
-
-        /* Determine sun direction from lat/long and texture mapping. */
-        float latitude = sky->get_sun_elevation();
-        float longitude = M_2PI_F - sky->get_sun_rotation() + M_PI_2_F;
-        float3 sun_direction = make_float3(
-            cosf(latitude) * cosf(longitude), cosf(latitude) * sinf(longitude), sinf(latitude));
-        Transform sky_transform = transform_inverse(sky->tex_mapping.compute_transform());
-        sun_direction = transform_direction(&sky_transform, sun_direction);
-
-        /* Pack sun direction and size. */
-        float half_angle = sky->get_sun_size() * 0.5f;
-        kbackground->sun = make_float4(
-            sun_direction.x, sun_direction.y, sun_direction.z, half_angle);
-
-        kbackground->sun_weight = 4.0f;
-        environment_res.x = max(environment_res.x, 512);
-        environment_res.y = max(environment_res.y, 256);
-        num_suns++;
-      }
-    }
-  }
-
-  /* If there's more than one sun, fall back to map sampling instead. */
-  if (num_suns != 1) {
-    kbackground->sun_weight = 0.0f;
-    environment_res.x = max(environment_res.x, 4096);
-    environment_res.y = max(environment_res.y, 2048);
-  }
-
-  /* Enable MIS for background sampling if any strategy is active. */
-  kbackground->use_mis = (kbackground->portal_weight + kbackground->map_weight +
-                          kbackground->sun_weight) > 0.0f;
-
-  /* get the resolution from the light's size (we stuff it in there) */
-  int2 res = make_int2(background_light->map_resolution, background_light->map_resolution / 2);
-  /* If the resolution isn't set manually, try to find an environment texture. */
-  if (res.x == 0) {
-    res = environment_res;
-    if (res.x > 0 && res.y > 0) {
-      VLOG(2) << "Automatically set World MIS resolution to " << res.x << " by " << res.y << "\n";
-    }
-  }
-  /* If it's still unknown, just use the default. */
-  if (res.x == 0 || res.y == 0) {
-    res = make_int2(1024, 512);
-    VLOG(2) << "Setting World MIS resolution to default\n";
-  }
-  kbackground->map_res_x = res.x;
-  kbackground->map_res_y = res.y;
-
-  vector<float3> pixels;
-  shade_background_pixels(device, dscene, res.x, res.y, pixels, progress);
-
-  if (progress.get_cancel())
-    return;
-
-  /* build row distributions and column distribution for the infinite area environment light */
-  int cdf_width = res.x + 1;
-  float2 *marg_cdf = dscene->light_background_marginal_cdf.alloc(res.y + 1);
-  float2 *cond_cdf = dscene->light_background_conditional_cdf.alloc(cdf_width * res.y);
-
-  double time_start = time_dt();
-
-  /* Create CDF in parallel. */
-  const int rows_per_task = divide_up(10240, res.x);
-  parallel_for(blocked_range<size_t>(0, res.y, rows_per_task),
-               [&](const blocked_range<size_t> &r) {
-                 background_cdf(r.begin(), r.end(), res.x, res.y, &pixels, cond_cdf);
-               });
-
-  /* marginal CDFs (column, V direction, sum of rows) */
-  marg_cdf[0].x = cond_cdf[res.x].x;
-  marg_cdf[0].y = 0.0f;
-
-  for (int i = 1; i < res.y; i++) {
-    marg_cdf[i].x = cond_cdf[i * cdf_width + res.x].x;
-    marg_cdf[i].y = marg_cdf[i - 1].y + marg_cdf[i - 1].x / res.y;
-  }
-
-  float cdf_total = marg_cdf[res.y - 1].y + marg_cdf[res.y - 1].x / res.y;
-  marg_cdf[res.y].x = cdf_total;
-
-  if (cdf_total > 0.0f)
-    for (int i = 1; i < res.y; i++)
-      marg_cdf[i].y /= cdf_total;
-
-  marg_cdf[res.y].y = 1.0f;
-
-  VLOG(2) << "Background MIS build time " << time_dt() - time_start << "\n";
-
-  /* update device */
-  dscene->light_background_marginal_cdf.copy_to_device();
-  dscene->light_background_conditional_cdf.copy_to_device();
-}
-
-void LightManager::device_update_points(Device *, DeviceScene *dscene, Scene *scene)
-{
-  int num_scene_lights = scene->lights.size();
-
-  int num_lights = 0;
-  foreach (Light *light, scene->lights) {
-    if (light->is_enabled || light->is_portal) {
-      num_lights++;
-    }
-  }
-
-  KernelLight *klights = dscene->lights.alloc(num_lights);
-
-  if (num_lights == 0) {
-    VLOG(1) << "No effective light, ignoring points update.";
-    return;
-  }
-
-  int light_index = 0;
-
-  foreach (Light *light, scene->lights) {
-    if (!light->is_enabled) {
-      continue;
-    }
-
-    float3 co = light->co;
-    Shader *shader = (light->shader) ? light->shader : scene->default_light;
-    int shader_id = scene->shader_manager->get_shader_id(shader);
-    int max_bounces = light->max_bounces;
-    float random = (float)light->random_id * (1.0f / (float)0xFFFFFFFF);
-
-    if (!light->cast_shadow)
-      shader_id &= ~SHADER_CAST_SHADOW;
-
-    if (!light->use_camera) {
-      shader_id |= SHADER_EXCLUDE_CAMERA;
-    }
-    if (!light->use_diffuse) {
-      shader_id |= SHADER_EXCLUDE_DIFFUSE;
-    }
-    if (!light->use_glossy) {
-      shader_id |= SHADER_EXCLUDE_GLOSSY;
-    }
-    if (!light->use_transmission) {
-      shader_id |= SHADER_EXCLUDE_TRANSMIT;
-    }
-    if (!light->use_scatter) {
-      shader_id |= SHADER_EXCLUDE_SCATTER;
-    }
-    if (!light->is_shadow_catcher) {
-      shader_id |= SHADER_EXCLUDE_SHADOW_CATCHER;
-    }
-
-    klights[light_index].type = light->light_type;
-    klights[light_index].strength[0] = light->strength.x;
-    klights[light_index].strength[1] = light->strength.y;
-    klights[light_index].strength[2] = light->strength.z;
-
-    if (light->light_type == LIGHT_POINT) {
-      shader_id &= ~SHADER_AREA_LIGHT;
-
-      float radius = light->size;
-      float invarea = (radius > 0.0f) ? 1.0f / (M_PI_F * radius * radius) : 1.0f;
-
-      if (light->use_mis && radius > 0.0f)
-        shader_id |= SHADER_USE_MIS;
-
-      klights[light_index].co[0] = co.x;
-      klights[light_index].co[1] = co.y;
-      klights[light_index].co[2] = co.z;
-
-      klights[light_index].spot.radius = radius;
-      klights[light_index].spot.invarea = invarea;
-    }
-    else if (light->light_type == LIGHT_DISTANT) {
-      shader_id &= ~SHADER_AREA_LIGHT;
-
-      float angle = light->angle / 2.0f;
-      float radius = tanf(angle);
-      float cosangle = cosf(angle);
-      float area = M_PI_F * radius * radius;
-      float invarea = (area > 0.0f) ? 1.0f / area : 1.0f;
-      float3 dir = light->dir;
-
-      dir = safe_normalize(dir);
-
-      if (light->use_mis && area > 0.0f)
-        shader_id |= SHADER_USE_MIS;
-
-      klights[light_index].co[0] = dir.x;
-      klights[light_index].co[1] = dir.y;
-      klights[light_index].co[2] = dir.z;
-
-      klights[light_index].distant.invarea = invarea;
-      klights[light_index].distant.radius = radius;
-      klights[light_index].distant.cosangle = cosangle;
-    }
-    else if (light->light_type == LIGHT_BACKGROUND) {
-      uint visibility = scene->background->get_visibility();
-
-      shader_id &= ~SHADER_AREA_LIGHT;
-      shader_id |= SHADER_USE_MIS;
-
-      if (!(visibility & PATH_RAY_DIFFUSE)) {
-        shader_id |= SHADER_EXCLUDE_DIFFUSE;
-      }
-      if (!(visibility & PATH_RAY_GLOSSY)) {
-        shader_id |= SHADER_EXCLUDE_GLOSSY;
-      }
-      if (!(visibility & PATH_RAY_TRANSMIT)) {
-        shader_id |= SHADER_EXCLUDE_TRANSMIT;
-      }
-      if (!(visibility & PATH_RAY_VOLUME_SCATTER)) {
-        shader_id |= SHADER_EXCLUDE_SCATTER;
-      }
-    }
-    else if (light->light_type == LIGHT_AREA) {
-      float3 axisu = light->axisu * (light->sizeu * light->size);
-      float3 axisv = light->axisv * (light->sizev * light->size);
-      float area = len(axisu) * len(axisv);
-      if (light->round) {
-        area *= -M_PI_4_F;
-      }
-      float invarea = (area != 0.0f) ? 1.0f / area : 1.0f;
-      float3 dir = light->dir;
-
-      /* Convert from spread angle 0..180 to 90..0, clamping to a minimum
-       * angle to avoid excessive noise. */
-      const float min_spread_angle = 1.0f * M_PI_F / 180.0f;
-      const float spread_angle = 0.5f * (M_PI_F - max(light->spread, min_spread_angle));
-      /* Normalization computed using:
-       * integrate cos(x) * (1 - tan(x) * tan(a)) * sin(x) from x = 0 to pi/2 - a. */
-      const float tan_spread = tanf(spread_angle);
-      const float normalize_spread = 2.0f / (2.0f + (2.0f * spread_angle - M_PI_F) * tan_spread);
-
-      dir = safe_normalize(dir);
-
-      if (light->use_mis && area != 0.0f)
-        shader_id |= SHADER_USE_MIS;
-
-      klights[light_index].co[0] = co.x;
-      klights[light_index].co[1] = co.y;
-      klights[light_index].co[2] = co.z;
-
-      klights[light_index].area.axisu[0] = axisu.x;
-      klights[light_index].area.axisu[1] = axisu.y;
-      klights[light_index].area.axisu[2] = axisu.z;
-      klights[light_index].area.axisv[0] = axisv.x;
-      klights[light_index].area.axisv[1] = axisv.y;
-      klights[light_index].area.axisv[2] = axisv.z;
-      klights[light_index].area.invarea = invarea;
-      klights[light_index].area.dir[0] = dir.x;
-      klights[light_index].area.dir[1] = dir.y;
-      klights[light_index].area.dir[2] = dir.z;
-      klights[light_index].area.tan_spread = tan_spread;
-      klights[light_index].area.normalize_spread = normalize_spread;
-    }
-    else if (light->light_type == LIGHT_SPOT) {
-      shader_id &= ~SHADER_AREA_LIGHT;
-
-      float radius = light->size;
-      float invarea = (radius > 0.0f) ? 1.0f / (M_PI_F * radius * radius) : 1.0f;
-      float spot_angle = cosf(light->spot_angle * 0.5f);
-      float spot_smooth = (1.0f - spot_angle) * light->spot_smooth;
-      float3 dir = light->dir;
-
-      dir = safe_normalize(dir);
-
-      if (light->use_mis && radius > 0.0f)
-        shader_id |= SHADER_USE_MIS;
-
-      klights[light_index].co[0] = co.x;
-      klights[light_index].co[1] = co.y;
-      klights[light_index].co[2] = co.z;
-
-      klights[light_index].spot.radius = radius;
-      klights[light_index].spot.invarea = invarea;
-      klights[light_index].spot.spot_angle = spot_angle;
-      klights[light_index].spot.spot_smooth = spot_smooth;
-      klights[light_index].spot.dir[0] = dir.x;
-      klights[light_index].spot.dir[1] = dir.y;
-      klights[light_index].spot.dir[2] = dir.z;
-    }
-
-    klights[light_index].shader_id = shader_id;
-
-    klights[light_index].max_bounces = max_bounces;
-    klights[light_index].random = random;
-
-    klights[light_index].tfm = light->tfm;
-    klights[light_index].itfm = transform_inverse(light->tfm);
-
-    light_index++;
-  }
-
-  /* TODO(sergey): Consider moving portals update to their own function
-   * keeping this one more manageable.
-   */
-  foreach (Light *light, scene->lights) {
-    if (!light->is_portal)
-      continue;
-    assert(light->light_type == LIGHT_AREA);
-
-    float3 co = light->co;
-    float3 axisu = light->axisu * (light->sizeu * light->size);
-    float3 axisv = light->axisv * (light->sizev * light->size);
-    float area = len(axisu) * len(axisv);
-    if (light->round) {
-      area *= -M_PI_4_F;
-    }
-    float invarea = (area != 0.0f) ? 1.0f / area : 1.0f;
-    float3 dir = light->dir;
-
-    dir = safe_normalize(dir);
-
-    klights[light_index].co[0] = co.x;
-    klights[light_index].co[1] = co.y;
-    klights[light_index].co[2] = co.z;
-
-    klights[light_index].area.axisu[0] = axisu.x;
-    klights[light_index].area.axisu[1] = axisu.y;
-    klights[light_index].area.axisu[2] = axisu.z;
-    klights[light_index].area.axisv[0] = axisv.x;
-    klights[light_index].area.axisv[1] = axisv.y;
-    klights[light_index].area.axisv[2] = axisv.z;
-    klights[light_index].area.invarea = invarea;
-    klights[light_index].area.dir[0] = dir.x;
-    klights[light_index].area.dir[1] = dir.y;
-    klights[light_index].area.dir[2] = dir.z;
-    klights[light_index].tfm = light->tfm;
-    klights[light_index].itfm = transform_inverse(light->tfm);
-
-    light_index++;
-  }
-
-  VLOG(1) << "Number of lights sent to the device: " << light_index;
-
-  VLOG(1) << "Number of lights without contribution: " << num_scene_lights - light_index;
-
-  dscene->lights.copy_to_device();
-}
-
-void LightManager::device_update(Device *device,
-                                 DeviceScene *dscene,
-                                 Scene *scene,
-                                 Progress &progress)
-{
-  if (!need_update())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->light.times.add_entry({"device_update", time});
-    }
-  });
-
-  VLOG(1) << "Total " << scene->lights.size() << " lights.";
-
-  /* Detect which lights are enabled, also determines if we need to update the background. */
-  test_enabled_lights(scene);
-
-  device_free(device, dscene, need_update_background);
-
-  device_update_points(device, dscene, scene);
-  if (progress.get_cancel())
-    return;
-
-  device_update_distribution(device, dscene, scene, progress);
-  if (progress.get_cancel())
-    return;
-
-  if (need_update_background) {
-    device_update_background(device, dscene, scene, progress);
-    if (progress.get_cancel())
-      return;
-  }
-
-  device_update_ies(dscene);
-  if (progress.get_cancel())
-    return;
-
-  update_flags = UPDATE_NONE;
-  need_update_background = false;
-}
-
-void LightManager::device_free(Device *, DeviceScene *dscene, const bool free_background)
-{
-  dscene->light_distribution.free();
-  dscene->lights.free();
-  if (free_background) {
-    dscene->light_background_marginal_cdf.free();
-    dscene->light_background_conditional_cdf.free();
-  }
-  dscene->ies_lights.free();
-}
-
-void LightManager::tag_update(Scene * /*scene*/, uint32_t flag)
-{
-  update_flags |= flag;
-}
-
-bool LightManager::need_update() const
-{
-  return update_flags != UPDATE_NONE;
-}
-
-int LightManager::add_ies_from_file(const string &filename)
-{
-  string content;
-
-  /* If the file can't be opened, call with an empty line */
-  if (filename.empty() || !path_read_text(filename.c_str(), content)) {
-    content = "\n";
-  }
-
-  return add_ies(content);
-}
-
-int LightManager::add_ies(const string &content)
-{
-  uint hash = hash_string(content.c_str());
-
-  thread_scoped_lock ies_lock(ies_mutex);
-
-  /* Check whether this IES already has a slot. */
-  size_t slot;
-  for (slot = 0; slot < ies_slots.size(); slot++) {
-    if (ies_slots[slot]->hash == hash) {
-      ies_slots[slot]->users++;
-      return slot;
-    }
-  }
-
-  /* Try to find an empty slot for the new IES. */
-  for (slot = 0; slot < ies_slots.size(); slot++) {
-    if (ies_slots[slot]->users == 0 && ies_slots[slot]->hash == 0) {
-      break;
-    }
-  }
-
-  /* If there's no free slot, add one. */
-  if (slot == ies_slots.size()) {
-    ies_slots.push_back(new IESSlot());
-  }
-
-  ies_slots[slot]->ies.load(content);
-  ies_slots[slot]->users = 1;
-  ies_slots[slot]->hash = hash;
-
-  update_flags = UPDATE_ALL;
-  need_update_background = true;
-
-  return slot;
-}
-
-void LightManager::remove_ies(int slot)
-{
-  thread_scoped_lock ies_lock(ies_mutex);
-
-  if (slot < 0 || slot >= ies_slots.size()) {
-    assert(false);
-    return;
-  }
-
-  assert(ies_slots[slot]->users > 0);
-  ies_slots[slot]->users--;
-
-  /* If the slot has no more users, update the device to remove it. */
-  if (ies_slots[slot]->users == 0) {
-    update_flags |= UPDATE_ALL;
-    need_update_background = true;
-  }
-}
-
-void LightManager::device_update_ies(DeviceScene *dscene)
-{
-  /* Clear empty slots. */
-  foreach (IESSlot *slot, ies_slots) {
-    if (slot->users == 0) {
-      slot->hash = 0;
-      slot->ies.clear();
-    }
-  }
-
-  /* Shrink the slot table by removing empty slots at the end. */
-  int slot_end;
-  for (slot_end = ies_slots.size(); slot_end; slot_end--) {
-    if (ies_slots[slot_end - 1]->users > 0) {
-      /* If the preceding slot has users, we found the new end of the table. */
-      break;
-    }
-    else {
-      /* The slot will be past the new end of the table, so free it. */
-      delete ies_slots[slot_end - 1];
-    }
-  }
-  ies_slots.resize(slot_end);
-
-  if (ies_slots.size() > 0) {
-    int packed_size = 0;
-    foreach (IESSlot *slot, ies_slots) {
-      packed_size += slot->ies.packed_size();
-    }
-
-    /* ies_lights starts with an offset table that contains the offset of every slot,
-     * or -1 if the slot is invalid.
-     * Following that table, the packed valid IES lights are stored. */
-    float *data = dscene->ies_lights.alloc(ies_slots.size() + packed_size);
-
-    int offset = ies_slots.size();
-    for (int i = 0; i < ies_slots.size(); i++) {
-      int size = ies_slots[i]->ies.packed_size();
-      if (size > 0) {
-        data[i] = __int_as_float(offset);
-        ies_slots[i]->ies.pack(data + offset);
-        offset += size;
-      }
-      else {
-        data[i] = __int_as_float(-1);
-      }
-    }
-
-    dscene->ies_lights.copy_to_device();
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/light.h b/intern/cycles/render/light.h
deleted file mode 100644
index 7f86237c8b3..00000000000
--- a/intern/cycles/render/light.h
+++ /dev/null
@@ -1,171 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __LIGHT_H__
-#define __LIGHT_H__
-
-#include "kernel/kernel_types.h"
-
-#include "graph/node.h"
-
-/* included as Light::set_shader defined through NODE_SOCKET_API does not select
- * the right Node::set overload as it does not know that Shader is a Node */
-#include "render/shader.h"
-
-#include "util/util_ies.h"
-#include "util/util_thread.h"
-#include "util/util_types.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Object;
-class Progress;
-class Scene;
-class Shader;
-
-class Light : public Node {
- public:
-  NODE_DECLARE;
-
-  Light();
-
-  NODE_SOCKET_API(LightType, light_type)
-  NODE_SOCKET_API(float3, strength)
-  NODE_SOCKET_API(float3, co)
-
-  NODE_SOCKET_API(float3, dir)
-  NODE_SOCKET_API(float, size)
-  NODE_SOCKET_API(float, angle)
-
-  NODE_SOCKET_API(float3, axisu)
-  NODE_SOCKET_API(float, sizeu)
-  NODE_SOCKET_API(float3, axisv)
-  NODE_SOCKET_API(float, sizev)
-  NODE_SOCKET_API(bool, round)
-  NODE_SOCKET_API(float, spread)
-
-  NODE_SOCKET_API(Transform, tfm)
-
-  NODE_SOCKET_API(int, map_resolution)
-
-  NODE_SOCKET_API(float, spot_angle)
-  NODE_SOCKET_API(float, spot_smooth)
-
-  NODE_SOCKET_API(bool, cast_shadow)
-  NODE_SOCKET_API(bool, use_mis)
-  NODE_SOCKET_API(bool, use_camera)
-  NODE_SOCKET_API(bool, use_diffuse)
-  NODE_SOCKET_API(bool, use_glossy)
-  NODE_SOCKET_API(bool, use_transmission)
-  NODE_SOCKET_API(bool, use_scatter)
-
-  NODE_SOCKET_API(bool, is_shadow_catcher)
-  NODE_SOCKET_API(bool, is_portal)
-  NODE_SOCKET_API(bool, is_enabled)
-
-  NODE_SOCKET_API(Shader *, shader)
-  NODE_SOCKET_API(int, max_bounces)
-  NODE_SOCKET_API(uint, random_id)
-
-  void tag_update(Scene *scene);
-
-  /* Check whether the light has contribution the scene. */
-  bool has_contribution(Scene *scene);
-
-  friend class LightManager;
-};
-
-class LightManager {
- public:
-  enum : uint32_t {
-    MESH_NEED_REBUILD = (1 << 0),
-    EMISSIVE_MESH_MODIFIED = (1 << 1),
-    LIGHT_MODIFIED = (1 << 2),
-    LIGHT_ADDED = (1 << 3),
-    LIGHT_REMOVED = (1 << 4),
-    OBJECT_MANAGER = (1 << 5),
-    SHADER_COMPILED = (1 << 6),
-    SHADER_MODIFIED = (1 << 7),
-
-    /* tag everything in the manager for an update */
-    UPDATE_ALL = ~0u,
-
-    UPDATE_NONE = 0u,
-  };
-
-  /* Need to update background (including multiple importance map) */
-  bool need_update_background;
-
-  LightManager();
-  ~LightManager();
-
-  /* IES texture management */
-  int add_ies(const string &ies);
-  int add_ies_from_file(const string &filename);
-  void remove_ies(int slot);
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-  void device_free(Device *device, DeviceScene *dscene, const bool free_background = true);
-
-  void tag_update(Scene *scene, uint32_t flag);
-
-  bool need_update() const;
-
-  /* Check whether there is a background light. */
-  bool has_background_light(Scene *scene);
-
- protected:
-  /* Optimization: disable light which is either unsupported or
-   * which doesn't contribute to the scene or which is only used for MIS
-   * and scene doesn't need MIS.
-   */
-  void test_enabled_lights(Scene *scene);
-
-  void device_update_points(Device *device, DeviceScene *dscene, Scene *scene);
-  void device_update_distribution(Device *device,
-                                  DeviceScene *dscene,
-                                  Scene *scene,
-                                  Progress &progress);
-  void device_update_background(Device *device,
-                                DeviceScene *dscene,
-                                Scene *scene,
-                                Progress &progress);
-  void device_update_ies(DeviceScene *dscene);
-
-  /* Check whether light manager can use the object as a light-emissive. */
-  bool object_usable_as_light(Object *object);
-
-  struct IESSlot {
-    IESFile ies;
-    uint hash;
-    int users;
-  };
-
-  vector<IESSlot *> ies_slots;
-  thread_mutex ies_mutex;
-
-  bool last_background_enabled;
-  int last_background_resolution;
-
-  uint32_t update_flags;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __LIGHT_H__ */
diff --git a/intern/cycles/render/merge.cpp b/intern/cycles/render/merge.cpp
deleted file mode 100644
index 8a58c827e82..00000000000
--- a/intern/cycles/render/merge.cpp
+++ /dev/null
@@ -1,516 +0,0 @@
-/*
- * Copyright 2011-2019 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/merge.h"
-
-#include "util/util_array.h"
-#include "util/util_map.h"
-#include "util/util_system.h"
-#include "util/util_time.h"
-#include "util/util_unique_ptr.h"
-
-#include <OpenImageIO/filesystem.h>
-#include <OpenImageIO/imageio.h>
-
-OIIO_NAMESPACE_USING
-
-CCL_NAMESPACE_BEGIN
-
-/* Merge Image Layer */
-
-enum MergeChannelOp {
-  MERGE_CHANNEL_NOP,
-  MERGE_CHANNEL_COPY,
-  MERGE_CHANNEL_SUM,
-  MERGE_CHANNEL_AVERAGE
-};
-
-struct MergeImagePass {
-  /* Full channel name. */
-  string channel_name;
-  /* Channel format in the file. */
-  TypeDesc format;
-  /* Type of operation to perform when merging. */
-  MergeChannelOp op;
-  /* Offset of layer channels in input image. */
-  int offset;
-  /* Offset of layer channels in merged image. */
-  int merge_offset;
-};
-
-struct MergeImageLayer {
-  /* Layer name. */
-  string name;
-  /* Passes. */
-  vector<MergeImagePass> passes;
-  /* Sample amount that was used for rendering this layer. */
-  int samples;
-};
-
-/* Merge Image */
-
-struct MergeImage {
-  /* OIIO file handle. */
-  unique_ptr<ImageInput> in;
-  /* Image file path. */
-  string filepath;
-  /* Render layers. */
-  vector<MergeImageLayer> layers;
-};
-
-/* Channel Parsing */
-
-static MergeChannelOp parse_channel_operation(const string &pass_name)
-{
-  if (pass_name == "Depth" || pass_name == "IndexMA" || pass_name == "IndexOB" ||
-      string_startswith(pass_name, "Crypto")) {
-    return MERGE_CHANNEL_COPY;
-  }
-  else if (string_startswith(pass_name, "Debug BVH") ||
-           string_startswith(pass_name, "Debug Ray") ||
-           string_startswith(pass_name, "Debug Render Time")) {
-    return MERGE_CHANNEL_SUM;
-  }
-  else {
-    return MERGE_CHANNEL_AVERAGE;
-  }
-}
-
-/* Splits in at its last dot, setting suffix to the part after the dot and
- * into the part before it. Returns whether a dot was found. */
-static bool split_last_dot(string &in, string &suffix)
-{
-  size_t pos = in.rfind(".");
-  if (pos == string::npos) {
-    return false;
-  }
-  suffix = in.substr(pos + 1);
-  in = in.substr(0, pos);
-  return true;
-}
-
-/* Separate channel names as generated by Blender.
- * Multiview format: RenderLayer.Pass.View.Channel
- * Otherwise: RenderLayer.Pass.Channel */
-static bool parse_channel_name(
-    string name, string &renderlayer, string &pass, string &channel, bool multiview_channels)
-{
-  if (!split_last_dot(name, channel)) {
-    return false;
-  }
-  string view;
-  if (multiview_channels && !split_last_dot(name, view)) {
-    return false;
-  }
-  if (!split_last_dot(name, pass)) {
-    return false;
-  }
-  renderlayer = name;
-
-  if (multiview_channels) {
-    renderlayer += "." + view;
-  }
-
-  return true;
-}
-
-static bool parse_channels(const ImageSpec &in_spec,
-                           vector<MergeImageLayer> &layers,
-                           string &error)
-{
-  const ParamValue *multiview = in_spec.find_attribute("multiView");
-  const bool multiview_channels = (multiview && multiview->type().basetype == TypeDesc::STRING &&
-                                   multiview->type().arraylen >= 2);
-
-  layers.clear();
-
-  /* Loop over all the channels in the file, parse their name and sort them
-   * by RenderLayer.
-   * Channels that can't be parsed are directly passed through to the output. */
-  map<string, MergeImageLayer> file_layers;
-  for (int i = 0; i < in_spec.nchannels; i++) {
-    MergeImagePass pass;
-    pass.channel_name = in_spec.channelnames[i];
-    pass.format = (in_spec.channelformats.size() > 0) ? in_spec.channelformats[i] : in_spec.format;
-    pass.offset = i;
-    pass.merge_offset = i;
-
-    string layername, passname, channelname;
-    if (parse_channel_name(
-            pass.channel_name, layername, passname, channelname, multiview_channels)) {
-      /* Channel part of a render layer. */
-      pass.op = parse_channel_operation(passname);
-    }
-    else {
-      /* Other channels are added in unnamed layer. */
-      layername = "";
-      pass.op = parse_channel_operation(pass.channel_name);
-    }
-
-    file_layers[layername].passes.push_back(pass);
-  }
-
-  /* Loop over all detected render-layers, check whether they contain a full set of input channels.
-   * Any channels that won't be processed internally are also passed through. */
-  for (auto &i : file_layers) {
-    const string &name = i.first;
-    MergeImageLayer &layer = i.second;
-
-    layer.name = name;
-    layer.samples = 0;
-
-    /* Determine number of samples from metadata. */
-    if (layer.name == "") {
-      layer.samples = 1;
-    }
-    else if (layer.samples < 1) {
-      string sample_string = in_spec.get_string_attribute("cycles." + name + ".samples", "");
-      if (sample_string != "") {
-        if (!sscanf(sample_string.c_str(), "%d", &layer.samples)) {
-          error = "Failed to parse samples metadata: " + sample_string;
-          return false;
-        }
-      }
-    }
-
-    if (layer.samples < 1) {
-      error = string_printf(
-          "No sample number specified in the file for layer %s or on the command line",
-          name.c_str());
-      return false;
-    }
-
-    layers.push_back(layer);
-  }
-
-  return true;
-}
-
-static bool open_images(const vector<string> &filepaths, vector<MergeImage> &images, string &error)
-{
-  for (const string &filepath : filepaths) {
-    unique_ptr<ImageInput> in(ImageInput::open(filepath));
-    if (!in) {
-      error = "Couldn't open file: " + filepath;
-      return false;
-    }
-
-    MergeImage image;
-    image.in = std::move(in);
-    image.filepath = filepath;
-    if (!parse_channels(image.in->spec(), image.layers, error)) {
-      return false;
-    }
-
-    if (image.layers.size() == 0) {
-      error = "Could not find a render layer for merging";
-      return false;
-    }
-
-    if (image.in->spec().deep) {
-      error = "Merging deep images not supported.";
-      return false;
-    }
-
-    if (images.size() > 0) {
-      const ImageSpec &base_spec = images[0].in->spec();
-      const ImageSpec &spec = image.in->spec();
-
-      if (base_spec.width != spec.width || base_spec.height != spec.height ||
-          base_spec.depth != spec.depth || base_spec.format != spec.format ||
-          base_spec.deep != spec.deep) {
-        error = "Images do not have matching size and data layout.";
-        return false;
-      }
-    }
-
-    images.push_back(std::move(image));
-  }
-
-  return true;
-}
-
-static void merge_render_time(ImageSpec &spec,
-                              const vector<MergeImage> &images,
-                              const string &name,
-                              const bool average)
-{
-  double time = 0.0;
-
-  for (const MergeImage &image : images) {
-    string time_str = image.in->spec().get_string_attribute(name, "");
-    time += time_human_readable_to_seconds(time_str);
-  }
-
-  if (average) {
-    time /= images.size();
-  }
-
-  spec.attribute(name, TypeDesc::STRING, time_human_readable_from_seconds(time));
-}
-
-static void merge_layer_render_time(ImageSpec &spec,
-                                    const vector<MergeImage> &images,
-                                    const string &layer_name,
-                                    const string &time_name,
-                                    const bool average)
-{
-  string name = "cycles." + layer_name + "." + time_name;
-  double time = 0.0;
-
-  for (const MergeImage &image : images) {
-    string time_str = image.in->spec().get_string_attribute(name, "");
-    time += time_human_readable_to_seconds(time_str);
-  }
-
-  if (average) {
-    time /= images.size();
-  }
-
-  spec.attribute(name, TypeDesc::STRING, time_human_readable_from_seconds(time));
-}
-
-static void merge_channels_metadata(vector<MergeImage> &images,
-                                    ImageSpec &out_spec,
-                                    vector<int> &channel_total_samples)
-{
-  /* Based on first image. */
-  out_spec = images[0].in->spec();
-
-  /* Merge channels and compute offsets. */
-  out_spec.nchannels = 0;
-  out_spec.channelformats.clear();
-  out_spec.channelnames.clear();
-
-  for (MergeImage &image : images) {
-    for (MergeImageLayer &layer : image.layers) {
-      for (MergeImagePass &pass : layer.passes) {
-        /* Test if matching channel already exists in merged image. */
-        bool found = false;
-
-        for (size_t i = 0; i < out_spec.nchannels; i++) {
-          if (pass.channel_name == out_spec.channelnames[i]) {
-            pass.merge_offset = i;
-            channel_total_samples[i] += layer.samples;
-            /* First image wins for channels that can't be averaged or summed. */
-            if (pass.op == MERGE_CHANNEL_COPY) {
-              pass.op = MERGE_CHANNEL_NOP;
-            }
-            found = true;
-            break;
-          }
-        }
-
-        if (!found) {
-          /* Add new channel. */
-          pass.merge_offset = out_spec.nchannels;
-          channel_total_samples.push_back(layer.samples);
-
-          out_spec.channelnames.push_back(pass.channel_name);
-          out_spec.channelformats.push_back(pass.format);
-          out_spec.nchannels++;
-        }
-      }
-    }
-  }
-
-  /* Merge metadata. */
-  merge_render_time(out_spec, images, "RenderTime", false);
-
-  map<string, int> layer_num_samples;
-  for (MergeImage &image : images) {
-    for (MergeImageLayer &layer : image.layers) {
-      if (layer.name != "") {
-        layer_num_samples[layer.name] += layer.samples;
-      }
-    }
-  }
-
-  for (const auto &i : layer_num_samples) {
-    string name = "cycles." + i.first + ".samples";
-    out_spec.attribute(name, TypeDesc::STRING, string_printf("%d", i.second));
-
-    merge_layer_render_time(out_spec, images, i.first, "total_time", false);
-    merge_layer_render_time(out_spec, images, i.first, "render_time", false);
-    merge_layer_render_time(out_spec, images, i.first, "synchronization_time", true);
-  }
-}
-
-static void alloc_pixels(const ImageSpec &spec, array<float> &pixels)
-{
-  const size_t width = spec.width;
-  const size_t height = spec.height;
-  const size_t num_channels = spec.nchannels;
-
-  const size_t num_pixels = (size_t)width * (size_t)height;
-  pixels.resize(num_pixels * num_channels);
-}
-
-static bool merge_pixels(const vector<MergeImage> &images,
-                         const ImageSpec &out_spec,
-                         const vector<int> &channel_total_samples,
-                         array<float> &out_pixels,
-                         string &error)
-{
-  alloc_pixels(out_spec, out_pixels);
-  memset(out_pixels.data(), 0, out_pixels.size() * sizeof(float));
-
-  for (const MergeImage &image : images) {
-    /* Read all channels into buffer. Reading all channels at once is
-     * faster than individually due to interleaved EXR channel storage. */
-    array<float> pixels;
-    alloc_pixels(image.in->spec(), pixels);
-
-    if (!image.in->read_image(TypeDesc::FLOAT, pixels.data())) {
-      error = "Failed to read image: " + image.filepath;
-      return false;
-    }
-
-    for (size_t li = 0; li < image.layers.size(); li++) {
-      const MergeImageLayer &layer = image.layers[li];
-
-      const size_t stride = image.in->spec().nchannels;
-      const size_t out_stride = out_spec.nchannels;
-      const size_t num_pixels = pixels.size();
-
-      for (const MergeImagePass &pass : layer.passes) {
-        size_t offset = pass.offset;
-        size_t out_offset = pass.merge_offset;
-
-        switch (pass.op) {
-          case MERGE_CHANNEL_NOP:
-            break;
-          case MERGE_CHANNEL_COPY:
-            for (; offset < num_pixels; offset += stride, out_offset += out_stride) {
-              out_pixels[out_offset] = pixels[offset];
-            }
-            break;
-          case MERGE_CHANNEL_SUM:
-            for (; offset < num_pixels; offset += stride, out_offset += out_stride) {
-              out_pixels[out_offset] += pixels[offset];
-            }
-            break;
-          case MERGE_CHANNEL_AVERAGE:
-            /* Weights based on sample metadata. Per channel since not
-             * all files are guaranteed to have the same channels. */
-            const int total_samples = channel_total_samples[out_offset];
-            const float t = (float)layer.samples / (float)total_samples;
-
-            for (; offset < num_pixels; offset += stride, out_offset += out_stride) {
-              out_pixels[out_offset] += t * pixels[offset];
-            }
-            break;
-        }
-      }
-    }
-  }
-
-  return true;
-}
-
-static bool save_output(const string &filepath,
-                        const ImageSpec &spec,
-                        const array<float> &pixels,
-                        string &error)
-{
-  /* Write to temporary file path, so we merge images in place and don't
-   * risk destroying files when something goes wrong in file saving. */
-  string extension = OIIO::Filesystem::extension(filepath);
-  string unique_name = ".merge-tmp-" + OIIO::Filesystem::unique_path();
-  string tmp_filepath = filepath + unique_name + extension;
-  unique_ptr<ImageOutput> out(ImageOutput::create(tmp_filepath));
-
-  if (!out) {
-    error = "Failed to open temporary file " + tmp_filepath + " for writing";
-    return false;
-  }
-
-  /* Open temporary file and write image buffers. */
-  if (!out->open(tmp_filepath, spec)) {
-    error = "Failed to open file " + tmp_filepath + " for writing: " + out->geterror();
-    return false;
-  }
-
-  bool ok = true;
-  if (!out->write_image(TypeDesc::FLOAT, pixels.data())) {
-    error = "Failed to write to file " + tmp_filepath + ": " + out->geterror();
-    ok = false;
-  }
-
-  if (!out->close()) {
-    error = "Failed to save to file " + tmp_filepath + ": " + out->geterror();
-    ok = false;
-  }
-
-  out.reset();
-
-  /* Copy temporary file to output filepath. */
-  string rename_error;
-  if (ok && !OIIO::Filesystem::rename(tmp_filepath, filepath, rename_error)) {
-    error = "Failed to move merged image to " + filepath + ": " + rename_error;
-    ok = false;
-  }
-
-  if (!ok) {
-    OIIO::Filesystem::remove(tmp_filepath);
-  }
-
-  return ok;
-}
-
-/* Image Merger */
-
-ImageMerger::ImageMerger()
-{
-}
-
-bool ImageMerger::run()
-{
-  if (input.empty()) {
-    error = "No input file paths specified.";
-    return false;
-  }
-  if (output.empty()) {
-    error = "No output file path specified.";
-    return false;
-  }
-
-  /* Open images and verify they have matching layout. */
-  vector<MergeImage> images;
-  if (!open_images(input, images, error)) {
-    return false;
-  }
-
-  /* Merge metadata and setup channels and offsets. */
-  ImageSpec out_spec;
-  vector<int> channel_total_samples;
-  merge_channels_metadata(images, out_spec, channel_total_samples);
-
-  /* Merge pixels. */
-  array<float> out_pixels;
-  if (!merge_pixels(images, out_spec, channel_total_samples, out_pixels, error)) {
-    return false;
-  }
-
-  /* We don't need input anymore at this point, and will possibly
-   * overwrite the same file. */
-  images.clear();
-
-  /* Save output file. */
-  return save_output(output, out_spec, out_pixels, error);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/merge.h b/intern/cycles/render/merge.h
deleted file mode 100644
index 87e5d2d4723..00000000000
--- a/intern/cycles/render/merge.h
+++ /dev/null
@@ -1,43 +0,0 @@
-/*
- * Copyright 2011-2019 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __MERGE_H__
-#define __MERGE_H__
-
-#include "util/util_string.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Merge OpenEXR multilayer renders. */
-
-class ImageMerger {
- public:
-  ImageMerger();
-  bool run();
-
-  /* Error message after running, in case of failure. */
-  string error;
-
-  /* List of image filepaths to merge. */
-  vector<string> input;
-  /* Output filepath. */
-  string output;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __MERGE_H__ */
diff --git a/intern/cycles/render/mesh.cpp b/intern/cycles/render/mesh.cpp
deleted file mode 100644
index 9c93f6f881c..00000000000
--- a/intern/cycles/render/mesh.cpp
+++ /dev/null
@@ -1,812 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "bvh/bvh.h"
-#include "bvh/bvh_build.h"
-
-#include "device/device.h"
-
-#include "render/graph.h"
-#include "render/hair.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
-
-#include "subd/subd_patch_table.h"
-#include "subd/subd_split.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_progress.h"
-#include "util/util_set.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Triangle */
-
-void Mesh::Triangle::bounds_grow(const float3 *verts, BoundBox &bounds) const
-{
-  bounds.grow(verts[v[0]]);
-  bounds.grow(verts[v[1]]);
-  bounds.grow(verts[v[2]]);
-}
-
-void Mesh::Triangle::motion_verts(const float3 *verts,
-                                  const float3 *vert_steps,
-                                  size_t num_verts,
-                                  size_t num_steps,
-                                  float time,
-                                  float3 r_verts[3]) const
-{
-  /* Figure out which steps we need to fetch and their interpolation factor. */
-  const size_t max_step = num_steps - 1;
-  const size_t step = min((int)(time * max_step), max_step - 1);
-  const float t = time * max_step - step;
-  /* Fetch vertex coordinates. */
-  float3 curr_verts[3];
-  float3 next_verts[3];
-  verts_for_step(verts, vert_steps, num_verts, num_steps, step, curr_verts);
-  verts_for_step(verts, vert_steps, num_verts, num_steps, step + 1, next_verts);
-  /* Interpolate between steps. */
-  r_verts[0] = (1.0f - t) * curr_verts[0] + t * next_verts[0];
-  r_verts[1] = (1.0f - t) * curr_verts[1] + t * next_verts[1];
-  r_verts[2] = (1.0f - t) * curr_verts[2] + t * next_verts[2];
-}
-
-void Mesh::Triangle::verts_for_step(const float3 *verts,
-                                    const float3 *vert_steps,
-                                    size_t num_verts,
-                                    size_t num_steps,
-                                    size_t step,
-                                    float3 r_verts[3]) const
-{
-  const size_t center_step = ((num_steps - 1) / 2);
-  if (step == center_step) {
-    /* Center step: regular vertex location. */
-    r_verts[0] = verts[v[0]];
-    r_verts[1] = verts[v[1]];
-    r_verts[2] = verts[v[2]];
-  }
-  else {
-    /* Center step not stored in the attribute array array. */
-    if (step > center_step) {
-      step--;
-    }
-    size_t offset = step * num_verts;
-    r_verts[0] = vert_steps[offset + v[0]];
-    r_verts[1] = vert_steps[offset + v[1]];
-    r_verts[2] = vert_steps[offset + v[2]];
-  }
-}
-
-float3 Mesh::Triangle::compute_normal(const float3 *verts) const
-{
-  const float3 &v0 = verts[v[0]];
-  const float3 &v1 = verts[v[1]];
-  const float3 &v2 = verts[v[2]];
-  const float3 norm = cross(v1 - v0, v2 - v0);
-  const float normlen = len(norm);
-  if (normlen == 0.0f) {
-    return make_float3(1.0f, 0.0f, 0.0f);
-  }
-  return norm / normlen;
-}
-
-bool Mesh::Triangle::valid(const float3 *verts) const
-{
-  return isfinite3_safe(verts[v[0]]) && isfinite3_safe(verts[v[1]]) && isfinite3_safe(verts[v[2]]);
-}
-
-/* SubdFace */
-
-float3 Mesh::SubdFace::normal(const Mesh *mesh) const
-{
-  float3 v0 = mesh->verts[mesh->subd_face_corners[start_corner + 0]];
-  float3 v1 = mesh->verts[mesh->subd_face_corners[start_corner + 1]];
-  float3 v2 = mesh->verts[mesh->subd_face_corners[start_corner + 2]];
-
-  return safe_normalize(cross(v1 - v0, v2 - v0));
-}
-
-/* Mesh */
-
-NODE_DEFINE(Mesh)
-{
-  NodeType *type = NodeType::add("mesh", create, NodeType::NONE, Geometry::get_node_base_type());
-
-  SOCKET_INT_ARRAY(triangles, "Triangles", array<int>());
-  SOCKET_POINT_ARRAY(verts, "Vertices", array<float3>());
-  SOCKET_INT_ARRAY(shader, "Shader", array<int>());
-  SOCKET_BOOLEAN_ARRAY(smooth, "Smooth", array<bool>());
-
-  SOCKET_INT_ARRAY(triangle_patch, "Triangle Patch", array<int>());
-  SOCKET_POINT2_ARRAY(vert_patch_uv, "Patch UVs", array<float2>());
-
-  static NodeEnum subdivision_type_enum;
-  subdivision_type_enum.insert("none", SUBDIVISION_NONE);
-  subdivision_type_enum.insert("linear", SUBDIVISION_LINEAR);
-  subdivision_type_enum.insert("catmull_clark", SUBDIVISION_CATMULL_CLARK);
-  SOCKET_ENUM(subdivision_type, "Subdivision Type", subdivision_type_enum, SUBDIVISION_NONE);
-
-  SOCKET_INT_ARRAY(subd_creases_edge, "Subdivision Crease Edges", array<int>());
-  SOCKET_FLOAT_ARRAY(subd_creases_weight, "Subdivision Crease Weights", array<float>());
-  SOCKET_INT_ARRAY(subd_face_corners, "Subdivision Face Corners", array<int>());
-  SOCKET_INT_ARRAY(subd_start_corner, "Subdivision Face Start Corner", array<int>());
-  SOCKET_INT_ARRAY(subd_num_corners, "Subdivision Face Corner Count", array<int>());
-  SOCKET_INT_ARRAY(subd_shader, "Subdivision Face Shader", array<int>());
-  SOCKET_BOOLEAN_ARRAY(subd_smooth, "Subdivision Face Smooth", array<bool>());
-  SOCKET_INT_ARRAY(subd_ptex_offset, "Subdivision Face PTex Offset", array<int>());
-  SOCKET_INT(num_ngons, "NGons Number", 0);
-
-  /* Subdivisions parameters */
-  SOCKET_FLOAT(subd_dicing_rate, "Subdivision Dicing Rate", 0.0f)
-  SOCKET_INT(subd_max_level, "Subdivision Dicing Rate", 0);
-  SOCKET_TRANSFORM(subd_objecttoworld, "Subdivision Object Transform", transform_identity());
-
-  return type;
-}
-
-SubdParams *Mesh::get_subd_params()
-{
-  if (subdivision_type == SubdivisionType::SUBDIVISION_NONE) {
-    return nullptr;
-  }
-
-  if (!subd_params) {
-    subd_params = new SubdParams(this);
-  }
-
-  subd_params->dicing_rate = subd_dicing_rate;
-  subd_params->max_level = subd_max_level;
-  subd_params->objecttoworld = subd_objecttoworld;
-
-  return subd_params;
-}
-
-bool Mesh::need_tesselation()
-{
-  return get_subd_params() && (verts_is_modified() || subd_dicing_rate_is_modified() ||
-                               subd_objecttoworld_is_modified() || subd_max_level_is_modified());
-}
-
-Mesh::Mesh(const NodeType *node_type, Type geom_type_)
-    : Geometry(node_type, geom_type_), subd_attributes(this, ATTR_PRIM_SUBD)
-{
-  vert_offset = 0;
-
-  patch_offset = 0;
-  face_offset = 0;
-  corner_offset = 0;
-
-  num_subd_verts = 0;
-  num_subd_faces = 0;
-
-  num_ngons = 0;
-
-  subdivision_type = SUBDIVISION_NONE;
-  subd_params = NULL;
-
-  patch_table = NULL;
-}
-
-Mesh::Mesh() : Mesh(get_node_type(), Geometry::MESH)
-{
-}
-
-Mesh::~Mesh()
-{
-  delete patch_table;
-  delete subd_params;
-}
-
-void Mesh::resize_mesh(int numverts, int numtris)
-{
-  verts.resize(numverts);
-  triangles.resize(numtris * 3);
-  shader.resize(numtris);
-  smooth.resize(numtris);
-
-  if (get_num_subd_faces()) {
-    triangle_patch.resize(numtris);
-    vert_patch_uv.resize(numverts);
-  }
-
-  attributes.resize();
-}
-
-void Mesh::reserve_mesh(int numverts, int numtris)
-{
-  /* reserve space to add verts and triangles later */
-  verts.reserve(numverts);
-  triangles.reserve(numtris * 3);
-  shader.reserve(numtris);
-  smooth.reserve(numtris);
-
-  if (get_num_subd_faces()) {
-    triangle_patch.reserve(numtris);
-    vert_patch_uv.reserve(numverts);
-  }
-
-  attributes.resize(true);
-}
-
-void Mesh::resize_subd_faces(int numfaces, int num_ngons_, int numcorners)
-{
-  subd_start_corner.resize(numfaces);
-  subd_num_corners.resize(numfaces);
-  subd_shader.resize(numfaces);
-  subd_smooth.resize(numfaces);
-  subd_ptex_offset.resize(numfaces);
-  subd_face_corners.resize(numcorners);
-  num_ngons = num_ngons_;
-  num_subd_faces = numfaces;
-
-  subd_attributes.resize();
-}
-
-void Mesh::reserve_subd_faces(int numfaces, int num_ngons_, int numcorners)
-{
-  subd_start_corner.reserve(numfaces);
-  subd_num_corners.reserve(numfaces);
-  subd_shader.reserve(numfaces);
-  subd_smooth.reserve(numfaces);
-  subd_ptex_offset.reserve(numfaces);
-  subd_face_corners.reserve(numcorners);
-  num_ngons = num_ngons_;
-  num_subd_faces = numfaces;
-
-  subd_attributes.resize(true);
-}
-
-void Mesh::reserve_subd_creases(size_t num_creases)
-{
-  subd_creases_edge.reserve(num_creases * 2);
-  subd_creases_weight.reserve(num_creases);
-}
-
-void Mesh::clear_non_sockets()
-{
-  Geometry::clear(true);
-
-  num_subd_verts = 0;
-  num_subd_faces = 0;
-
-  vert_to_stitching_key_map.clear();
-  vert_stitching_map.clear();
-
-  delete patch_table;
-  patch_table = NULL;
-}
-
-void Mesh::clear(bool preserve_shaders, bool preserve_voxel_data)
-{
-  Geometry::clear(preserve_shaders);
-
-  /* clear all verts and triangles */
-  verts.clear();
-  triangles.clear();
-  shader.clear();
-  smooth.clear();
-
-  triangle_patch.clear();
-  vert_patch_uv.clear();
-
-  subd_start_corner.clear();
-  subd_num_corners.clear();
-  subd_shader.clear();
-  subd_smooth.clear();
-  subd_ptex_offset.clear();
-  subd_face_corners.clear();
-
-  subd_creases_edge.clear();
-  subd_creases_weight.clear();
-
-  subd_attributes.clear();
-  attributes.clear(preserve_voxel_data);
-
-  subdivision_type = SubdivisionType::SUBDIVISION_NONE;
-
-  clear_non_sockets();
-}
-
-void Mesh::clear(bool preserve_shaders)
-{
-  clear(preserve_shaders, false);
-}
-
-void Mesh::add_vertex(float3 P)
-{
-  verts.push_back_reserved(P);
-  tag_verts_modified();
-
-  if (get_num_subd_faces()) {
-    vert_patch_uv.push_back_reserved(zero_float2());
-    tag_vert_patch_uv_modified();
-  }
-}
-
-void Mesh::add_vertex_slow(float3 P)
-{
-  verts.push_back_slow(P);
-  tag_verts_modified();
-
-  if (get_num_subd_faces()) {
-    vert_patch_uv.push_back_slow(zero_float2());
-    tag_vert_patch_uv_modified();
-  }
-}
-
-void Mesh::add_triangle(int v0, int v1, int v2, int shader_, bool smooth_)
-{
-  triangles.push_back_reserved(v0);
-  triangles.push_back_reserved(v1);
-  triangles.push_back_reserved(v2);
-  shader.push_back_reserved(shader_);
-  smooth.push_back_reserved(smooth_);
-
-  tag_triangles_modified();
-  tag_shader_modified();
-  tag_smooth_modified();
-
-  if (get_num_subd_faces()) {
-    triangle_patch.push_back_reserved(-1);
-    tag_triangle_patch_modified();
-  }
-}
-
-void Mesh::add_subd_face(int *corners, int num_corners, int shader_, bool smooth_)
-{
-  int start_corner = subd_face_corners.size();
-
-  for (int i = 0; i < num_corners; i++) {
-    subd_face_corners.push_back_reserved(corners[i]);
-  }
-
-  int ptex_offset = 0;
-  // cannot use get_num_subd_faces here as it holds the total number of subd_faces, but we do not
-  // have the total amount of data yet
-  if (subd_shader.size()) {
-    SubdFace s = get_subd_face(subd_shader.size() - 1);
-    ptex_offset = s.ptex_offset + s.num_ptex_faces();
-  }
-
-  subd_start_corner.push_back_reserved(start_corner);
-  subd_num_corners.push_back_reserved(num_corners);
-  subd_shader.push_back_reserved(shader_);
-  subd_smooth.push_back_reserved(smooth_);
-  subd_ptex_offset.push_back_reserved(ptex_offset);
-
-  tag_subd_face_corners_modified();
-  tag_subd_start_corner_modified();
-  tag_subd_num_corners_modified();
-  tag_subd_shader_modified();
-  tag_subd_smooth_modified();
-  tag_subd_ptex_offset_modified();
-}
-
-Mesh::SubdFace Mesh::get_subd_face(size_t index) const
-{
-  Mesh::SubdFace s;
-  s.shader = subd_shader[index];
-  s.num_corners = subd_num_corners[index];
-  s.smooth = subd_smooth[index];
-  s.ptex_offset = subd_ptex_offset[index];
-  s.start_corner = subd_start_corner[index];
-  return s;
-}
-
-void Mesh::add_crease(int v0, int v1, float weight)
-{
-  subd_creases_edge.push_back_slow(v0);
-  subd_creases_edge.push_back_slow(v1);
-  subd_creases_weight.push_back_slow(weight);
-
-  tag_subd_creases_edge_modified();
-  tag_subd_creases_edge_modified();
-  tag_subd_creases_weight_modified();
-}
-
-void Mesh::copy_center_to_motion_step(const int motion_step)
-{
-  Attribute *attr_mP = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-
-  if (attr_mP) {
-    Attribute *attr_mN = attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
-    Attribute *attr_N = attributes.find(ATTR_STD_VERTEX_NORMAL);
-    float3 *P = &verts[0];
-    float3 *N = (attr_N) ? attr_N->data_float3() : NULL;
-    size_t numverts = verts.size();
-
-    memcpy(attr_mP->data_float3() + motion_step * numverts, P, sizeof(float3) * numverts);
-    if (attr_mN)
-      memcpy(attr_mN->data_float3() + motion_step * numverts, N, sizeof(float3) * numverts);
-  }
-}
-
-void Mesh::get_uv_tiles(ustring map, unordered_set<int> &tiles)
-{
-  Attribute *attr, *subd_attr;
-
-  if (map.empty()) {
-    attr = attributes.find(ATTR_STD_UV);
-    subd_attr = subd_attributes.find(ATTR_STD_UV);
-  }
-  else {
-    attr = attributes.find(map);
-    subd_attr = subd_attributes.find(map);
-  }
-
-  if (attr) {
-    attr->get_uv_tiles(this, ATTR_PRIM_GEOMETRY, tiles);
-  }
-  if (subd_attr) {
-    subd_attr->get_uv_tiles(this, ATTR_PRIM_SUBD, tiles);
-  }
-}
-
-void Mesh::compute_bounds()
-{
-  BoundBox bnds = BoundBox::empty;
-  size_t verts_size = verts.size();
-
-  if (verts_size > 0) {
-    for (size_t i = 0; i < verts_size; i++)
-      bnds.grow(verts[i]);
-
-    Attribute *attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-    if (use_motion_blur && attr) {
-      size_t steps_size = verts.size() * (motion_steps - 1);
-      float3 *vert_steps = attr->data_float3();
-
-      for (size_t i = 0; i < steps_size; i++)
-        bnds.grow(vert_steps[i]);
-    }
-
-    if (!bnds.valid()) {
-      bnds = BoundBox::empty;
-
-      /* skip nan or inf coordinates */
-      for (size_t i = 0; i < verts_size; i++)
-        bnds.grow_safe(verts[i]);
-
-      if (use_motion_blur && attr) {
-        size_t steps_size = verts.size() * (motion_steps - 1);
-        float3 *vert_steps = attr->data_float3();
-
-        for (size_t i = 0; i < steps_size; i++)
-          bnds.grow_safe(vert_steps[i]);
-      }
-    }
-  }
-
-  if (!bnds.valid()) {
-    /* empty mesh */
-    bnds.grow(zero_float3());
-  }
-
-  bounds = bnds;
-}
-
-void Mesh::apply_transform(const Transform &tfm, const bool apply_to_motion)
-{
-  transform_normal = transform_transposed_inverse(tfm);
-
-  /* apply to mesh vertices */
-  for (size_t i = 0; i < verts.size(); i++)
-    verts[i] = transform_point(&tfm, verts[i]);
-
-  tag_verts_modified();
-
-  if (apply_to_motion) {
-    Attribute *attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-
-    if (attr) {
-      size_t steps_size = verts.size() * (motion_steps - 1);
-      float3 *vert_steps = attr->data_float3();
-
-      for (size_t i = 0; i < steps_size; i++)
-        vert_steps[i] = transform_point(&tfm, vert_steps[i]);
-    }
-
-    Attribute *attr_N = attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
-
-    if (attr_N) {
-      Transform ntfm = transform_normal;
-      size_t steps_size = verts.size() * (motion_steps - 1);
-      float3 *normal_steps = attr_N->data_float3();
-
-      for (size_t i = 0; i < steps_size; i++)
-        normal_steps[i] = normalize(transform_direction(&ntfm, normal_steps[i]));
-    }
-  }
-}
-
-void Mesh::add_face_normals()
-{
-  /* don't compute if already there */
-  if (attributes.find(ATTR_STD_FACE_NORMAL))
-    return;
-
-  /* get attributes */
-  Attribute *attr_fN = attributes.add(ATTR_STD_FACE_NORMAL);
-  float3 *fN = attr_fN->data_float3();
-
-  /* compute face normals */
-  size_t triangles_size = num_triangles();
-
-  if (triangles_size) {
-    float3 *verts_ptr = verts.data();
-
-    for (size_t i = 0; i < triangles_size; i++) {
-      fN[i] = get_triangle(i).compute_normal(verts_ptr);
-    }
-  }
-
-  /* expected to be in local space */
-  if (transform_applied) {
-    Transform ntfm = transform_inverse(transform_normal);
-
-    for (size_t i = 0; i < triangles_size; i++)
-      fN[i] = normalize(transform_direction(&ntfm, fN[i]));
-  }
-}
-
-void Mesh::add_vertex_normals()
-{
-  bool flip = transform_negative_scaled;
-  size_t verts_size = verts.size();
-  size_t triangles_size = num_triangles();
-
-  /* static vertex normals */
-  if (!attributes.find(ATTR_STD_VERTEX_NORMAL) && triangles_size) {
-    /* get attributes */
-    Attribute *attr_fN = attributes.find(ATTR_STD_FACE_NORMAL);
-    Attribute *attr_vN = attributes.add(ATTR_STD_VERTEX_NORMAL);
-
-    float3 *fN = attr_fN->data_float3();
-    float3 *vN = attr_vN->data_float3();
-
-    /* compute vertex normals */
-    memset(vN, 0, verts.size() * sizeof(float3));
-
-    for (size_t i = 0; i < triangles_size; i++) {
-      for (size_t j = 0; j < 3; j++) {
-        vN[get_triangle(i).v[j]] += fN[i];
-      }
-    }
-
-    for (size_t i = 0; i < verts_size; i++) {
-      vN[i] = normalize(vN[i]);
-      if (flip) {
-        vN[i] = -vN[i];
-      }
-    }
-  }
-
-  /* motion vertex normals */
-  Attribute *attr_mP = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-  Attribute *attr_mN = attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
-
-  if (has_motion_blur() && attr_mP && !attr_mN && triangles_size) {
-    /* create attribute */
-    attr_mN = attributes.add(ATTR_STD_MOTION_VERTEX_NORMAL);
-
-    for (int step = 0; step < motion_steps - 1; step++) {
-      float3 *mP = attr_mP->data_float3() + step * verts.size();
-      float3 *mN = attr_mN->data_float3() + step * verts.size();
-
-      /* compute */
-      memset(mN, 0, verts.size() * sizeof(float3));
-
-      for (size_t i = 0; i < triangles_size; i++) {
-        for (size_t j = 0; j < 3; j++) {
-          float3 fN = get_triangle(i).compute_normal(mP);
-          mN[get_triangle(i).v[j]] += fN;
-        }
-      }
-
-      for (size_t i = 0; i < verts_size; i++) {
-        mN[i] = normalize(mN[i]);
-        if (flip) {
-          mN[i] = -mN[i];
-        }
-      }
-    }
-  }
-
-  /* subd vertex normals */
-  if (!subd_attributes.find(ATTR_STD_VERTEX_NORMAL) && get_num_subd_faces()) {
-    /* get attributes */
-    Attribute *attr_vN = subd_attributes.add(ATTR_STD_VERTEX_NORMAL);
-    float3 *vN = attr_vN->data_float3();
-
-    /* compute vertex normals */
-    memset(vN, 0, verts.size() * sizeof(float3));
-
-    for (size_t i = 0; i < get_num_subd_faces(); i++) {
-      SubdFace face = get_subd_face(i);
-      float3 fN = face.normal(this);
-
-      for (size_t j = 0; j < face.num_corners; j++) {
-        size_t corner = subd_face_corners[face.start_corner + j];
-        vN[corner] += fN;
-      }
-    }
-
-    for (size_t i = 0; i < verts_size; i++) {
-      vN[i] = normalize(vN[i]);
-      if (flip) {
-        vN[i] = -vN[i];
-      }
-    }
-  }
-}
-
-void Mesh::add_undisplaced()
-{
-  AttributeSet &attrs = (subdivision_type == SUBDIVISION_NONE) ? attributes : subd_attributes;
-
-  /* don't compute if already there */
-  if (attrs.find(ATTR_STD_POSITION_UNDISPLACED)) {
-    return;
-  }
-
-  /* get attribute */
-  Attribute *attr = attrs.add(ATTR_STD_POSITION_UNDISPLACED);
-  attr->flags |= ATTR_SUBDIVIDED;
-
-  float3 *data = attr->data_float3();
-
-  /* copy verts */
-  size_t size = attr->buffer_size(this, ATTR_PRIM_GEOMETRY);
-
-  /* Center points for ngons aren't stored in Mesh::verts but are included in size since they will
-   * be calculated later, we subtract them from size here so we don't have an overflow while
-   * copying.
-   */
-  size -= num_ngons * attr->data_sizeof();
-
-  if (size) {
-    memcpy(data, verts.data(), size);
-  }
-}
-
-void Mesh::pack_shaders(Scene *scene, uint *tri_shader)
-{
-  uint shader_id = 0;
-  uint last_shader = -1;
-  bool last_smooth = false;
-
-  size_t triangles_size = num_triangles();
-  int *shader_ptr = shader.data();
-
-  for (size_t i = 0; i < triangles_size; i++) {
-    if (shader_ptr[i] != last_shader || last_smooth != smooth[i]) {
-      last_shader = shader_ptr[i];
-      last_smooth = smooth[i];
-      Shader *shader = (last_shader < used_shaders.size()) ?
-                           static_cast<Shader *>(used_shaders[last_shader]) :
-                           scene->default_surface;
-      shader_id = scene->shader_manager->get_shader_id(shader, last_smooth);
-    }
-
-    tri_shader[i] = shader_id;
-  }
-}
-
-void Mesh::pack_normals(float4 *vnormal)
-{
-  Attribute *attr_vN = attributes.find(ATTR_STD_VERTEX_NORMAL);
-  if (attr_vN == NULL) {
-    /* Happens on objects with just hair. */
-    return;
-  }
-
-  bool do_transform = transform_applied;
-  Transform ntfm = transform_normal;
-
-  float3 *vN = attr_vN->data_float3();
-  size_t verts_size = verts.size();
-
-  for (size_t i = 0; i < verts_size; i++) {
-    float3 vNi = vN[i];
-
-    if (do_transform)
-      vNi = safe_normalize(transform_direction(&ntfm, vNi));
-
-    vnormal[i] = make_float4(vNi.x, vNi.y, vNi.z, 0.0f);
-  }
-}
-
-void Mesh::pack_verts(float4 *tri_verts, uint4 *tri_vindex, uint *tri_patch, float2 *tri_patch_uv)
-{
-  size_t verts_size = verts.size();
-
-  if (verts_size && get_num_subd_faces()) {
-    float2 *vert_patch_uv_ptr = vert_patch_uv.data();
-
-    for (size_t i = 0; i < verts_size; i++) {
-      tri_patch_uv[i] = vert_patch_uv_ptr[i];
-    }
-  }
-
-  size_t triangles_size = num_triangles();
-
-  for (size_t i = 0; i < triangles_size; i++) {
-    const Triangle t = get_triangle(i);
-    tri_vindex[i] = make_uint4(
-        t.v[0] + vert_offset, t.v[1] + vert_offset, t.v[2] + vert_offset, 3 * (prim_offset + i));
-
-    tri_patch[i] = (!get_num_subd_faces()) ? -1 : (triangle_patch[i] * 8 + patch_offset);
-
-    tri_verts[i * 3] = float3_to_float4(verts[t.v[0]]);
-    tri_verts[i * 3 + 1] = float3_to_float4(verts[t.v[1]]);
-    tri_verts[i * 3 + 2] = float3_to_float4(verts[t.v[2]]);
-  }
-}
-
-void Mesh::pack_patches(uint *patch_data)
-{
-  size_t num_faces = get_num_subd_faces();
-  int ngons = 0;
-
-  for (size_t f = 0; f < num_faces; f++) {
-    SubdFace face = get_subd_face(f);
-
-    if (face.is_quad()) {
-      int c[4];
-      memcpy(c, &subd_face_corners[face.start_corner], sizeof(int) * 4);
-
-      *(patch_data++) = c[0] + vert_offset;
-      *(patch_data++) = c[1] + vert_offset;
-      *(patch_data++) = c[2] + vert_offset;
-      *(patch_data++) = c[3] + vert_offset;
-
-      *(patch_data++) = f + face_offset;
-      *(patch_data++) = face.num_corners;
-      *(patch_data++) = face.start_corner + corner_offset;
-      *(patch_data++) = 0;
-    }
-    else {
-      for (int i = 0; i < face.num_corners; i++) {
-        int c[4];
-        c[0] = subd_face_corners[face.start_corner + mod(i + 0, face.num_corners)];
-        c[1] = subd_face_corners[face.start_corner + mod(i + 1, face.num_corners)];
-        c[2] = verts.size() - num_subd_verts + ngons;
-        c[3] = subd_face_corners[face.start_corner + mod(i - 1, face.num_corners)];
-
-        *(patch_data++) = c[0] + vert_offset;
-        *(patch_data++) = c[1] + vert_offset;
-        *(patch_data++) = c[2] + vert_offset;
-        *(patch_data++) = c[3] + vert_offset;
-
-        *(patch_data++) = f + face_offset;
-        *(patch_data++) = face.num_corners | (i << 16);
-        *(patch_data++) = face.start_corner + corner_offset;
-        *(patch_data++) = subd_face_corners.size() + ngons + corner_offset;
-      }
-
-      ngons++;
-    }
-  }
-}
-
-PrimitiveType Mesh::primitive_type() const
-{
-  return has_motion_blur() ? PRIMITIVE_MOTION_TRIANGLE : PRIMITIVE_TRIANGLE;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/mesh.h b/intern/cycles/render/mesh.h
deleted file mode 100644
index 8258c18ddd1..00000000000
--- a/intern/cycles/render/mesh.h
+++ /dev/null
@@ -1,259 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __MESH_H__
-#define __MESH_H__
-
-#include "graph/node.h"
-
-#include "bvh/bvh_params.h"
-#include "render/attribute.h"
-#include "render/geometry.h"
-#include "render/shader.h"
-
-#include "util/util_array.h"
-#include "util/util_boundbox.h"
-#include "util/util_list.h"
-#include "util/util_map.h"
-#include "util/util_param.h"
-#include "util/util_set.h"
-#include "util/util_types.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Attribute;
-class BVH;
-class Device;
-class DeviceScene;
-class Mesh;
-class Progress;
-class RenderStats;
-class Scene;
-class SceneParams;
-class AttributeRequest;
-struct SubdParams;
-class DiagSplit;
-struct PackedPatchTable;
-
-/* Mesh */
-
-class Mesh : public Geometry {
- protected:
-  Mesh(const NodeType *node_type_, Type geom_type_);
-
- public:
-  NODE_DECLARE
-
-  /* Mesh Triangle */
-  struct Triangle {
-    int v[3];
-
-    void bounds_grow(const float3 *verts, BoundBox &bounds) const;
-
-    void motion_verts(const float3 *verts,
-                      const float3 *vert_steps,
-                      size_t num_verts,
-                      size_t num_steps,
-                      float time,
-                      float3 r_verts[3]) const;
-
-    void verts_for_step(const float3 *verts,
-                        const float3 *vert_steps,
-                        size_t num_verts,
-                        size_t num_steps,
-                        size_t step,
-                        float3 r_verts[3]) const;
-
-    float3 compute_normal(const float3 *verts) const;
-
-    bool valid(const float3 *verts) const;
-  };
-
-  Triangle get_triangle(size_t i) const
-  {
-    Triangle tri = {{triangles[i * 3 + 0], triangles[i * 3 + 1], triangles[i * 3 + 2]}};
-    return tri;
-  }
-
-  size_t num_triangles() const
-  {
-    return triangles.size() / 3;
-  }
-
-  /* Mesh SubdFace */
-  struct SubdFace {
-    int start_corner;
-    int num_corners;
-    int shader;
-    bool smooth;
-    int ptex_offset;
-
-    bool is_quad()
-    {
-      return num_corners == 4;
-    }
-    float3 normal(const Mesh *mesh) const;
-    int num_ptex_faces() const
-    {
-      return num_corners == 4 ? 1 : num_corners;
-    }
-  };
-
-  struct SubdEdgeCrease {
-    int v[2];
-    float crease;
-  };
-
-  SubdEdgeCrease get_subd_crease(size_t i) const
-  {
-    SubdEdgeCrease s;
-    s.v[0] = subd_creases_edge[i * 2];
-    s.v[1] = subd_creases_edge[i * 2 + 1];
-    s.crease = subd_creases_weight[i];
-    return s;
-  }
-
-  bool need_tesselation();
-
-  enum SubdivisionType {
-    SUBDIVISION_NONE,
-    SUBDIVISION_LINEAR,
-    SUBDIVISION_CATMULL_CLARK,
-  };
-
-  NODE_SOCKET_API(SubdivisionType, subdivision_type)
-
-  /* Mesh Data */
-  NODE_SOCKET_API_ARRAY(array<int>, triangles)
-  NODE_SOCKET_API_ARRAY(array<float3>, verts)
-  NODE_SOCKET_API_ARRAY(array<int>, shader)
-  NODE_SOCKET_API_ARRAY(array<bool>, smooth)
-
-  /* used for storing patch info for subd triangles, only allocated if there are patches */
-  NODE_SOCKET_API_ARRAY(array<int>, triangle_patch) /* must be < 0 for non subd triangles */
-  NODE_SOCKET_API_ARRAY(array<float2>, vert_patch_uv)
-
-  /* SubdFaces */
-  NODE_SOCKET_API_ARRAY(array<int>, subd_start_corner)
-  NODE_SOCKET_API_ARRAY(array<int>, subd_num_corners)
-  NODE_SOCKET_API_ARRAY(array<int>, subd_shader)
-  NODE_SOCKET_API_ARRAY(array<bool>, subd_smooth)
-  NODE_SOCKET_API_ARRAY(array<int>, subd_ptex_offset)
-
-  NODE_SOCKET_API_ARRAY(array<int>, subd_face_corners)
-  NODE_SOCKET_API(int, num_ngons)
-
-  NODE_SOCKET_API_ARRAY(array<int>, subd_creases_edge)
-  NODE_SOCKET_API_ARRAY(array<float>, subd_creases_weight)
-
-  /* Subdivisions parameters */
-  NODE_SOCKET_API(float, subd_dicing_rate)
-  NODE_SOCKET_API(int, subd_max_level)
-  NODE_SOCKET_API(Transform, subd_objecttoworld)
-
-  AttributeSet subd_attributes;
-
- private:
-  PackedPatchTable *patch_table;
-  /* BVH */
-  size_t vert_offset;
-
-  size_t patch_offset;
-  size_t patch_table_offset;
-  size_t face_offset;
-  size_t corner_offset;
-
-  size_t num_subd_verts;
-  size_t num_subd_faces;
-
-  unordered_map<int, int> vert_to_stitching_key_map; /* real vert index -> stitching index */
-  unordered_multimap<int, int>
-      vert_stitching_map; /* stitching index -> multiple real vert indices */
-
-  friend class BVH2;
-  friend class BVHBuild;
-  friend class BVHSpatialSplit;
-  friend class DiagSplit;
-  friend class EdgeDice;
-  friend class GeometryManager;
-  friend class ObjectManager;
-
-  SubdParams *subd_params = nullptr;
-
- public:
-  /* Functions */
-  Mesh();
-  ~Mesh();
-
-  void resize_mesh(int numverts, int numfaces);
-  void reserve_mesh(int numverts, int numfaces);
-  void resize_subd_faces(int numfaces, int num_ngons, int numcorners);
-  void reserve_subd_faces(int numfaces, int num_ngons, int numcorners);
-  void reserve_subd_creases(size_t num_creases);
-  void clear_non_sockets();
-  void clear(bool preserve_shaders = false) override;
-  void add_vertex(float3 P);
-  void add_vertex_slow(float3 P);
-  void add_triangle(int v0, int v1, int v2, int shader, bool smooth);
-  void add_subd_face(int *corners, int num_corners, int shader_, bool smooth_);
-  void add_crease(int v0, int v1, float weight);
-
-  void copy_center_to_motion_step(const int motion_step);
-
-  void compute_bounds() override;
-  void apply_transform(const Transform &tfm, const bool apply_to_motion) override;
-  void add_face_normals();
-  void add_vertex_normals();
-  void add_undisplaced();
-
-  void get_uv_tiles(ustring map, unordered_set<int> &tiles) override;
-
-  void pack_shaders(Scene *scene, uint *shader);
-  void pack_normals(float4 *vnormal);
-  void pack_verts(float4 *tri_verts, uint4 *tri_vindex, uint *tri_patch, float2 *tri_patch_uv);
-  void pack_patches(uint *patch_data);
-
-  PrimitiveType primitive_type() const override;
-
-  void tessellate(DiagSplit *split);
-
-  SubdFace get_subd_face(size_t index) const;
-
-  SubdParams *get_subd_params();
-
-  size_t get_num_subd_faces() const
-  {
-    return num_subd_faces;
-  }
-
-  void set_num_subd_faces(size_t num_subd_faces_)
-  {
-    num_subd_faces = num_subd_faces_;
-  }
-
-  size_t get_num_subd_verts()
-  {
-    return num_subd_verts;
-  }
-
- protected:
-  void clear(bool preserve_shaders, bool preserve_voxel_data);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __MESH_H__ */
diff --git a/intern/cycles/render/mesh_displace.cpp b/intern/cycles/render/mesh_displace.cpp
deleted file mode 100644
index 3a11f39d977..00000000000
--- a/intern/cycles/render/mesh_displace.cpp
+++ /dev/null
@@ -1,410 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "device/device.h"
-
-#include "integrator/shader_eval.h"
-
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/scene.h"
-#include "render/shader.h"
-
-#include "util/util_foreach.h"
-#include "util/util_map.h"
-#include "util/util_progress.h"
-#include "util/util_set.h"
-
-CCL_NAMESPACE_BEGIN
-
-static float3 compute_face_normal(const Mesh::Triangle &t, float3 *verts)
-{
-  float3 v0 = verts[t.v[0]];
-  float3 v1 = verts[t.v[1]];
-  float3 v2 = verts[t.v[2]];
-
-  float3 norm = cross(v1 - v0, v2 - v0);
-  float normlen = len(norm);
-
-  if (normlen == 0.0f)
-    return make_float3(1.0f, 0.0f, 0.0f);
-
-  return norm / normlen;
-}
-
-/* Fill in coordinates for mesh displacement shader evaluation on device. */
-static int fill_shader_input(const Scene *scene,
-                             const Mesh *mesh,
-                             const int object_index,
-                             device_vector<KernelShaderEvalInput> &d_input)
-{
-  int d_input_size = 0;
-  KernelShaderEvalInput *d_input_data = d_input.data();
-
-  const array<int> &mesh_shaders = mesh->get_shader();
-  const array<Node *> &mesh_used_shaders = mesh->get_used_shaders();
-  const array<float3> &mesh_verts = mesh->get_verts();
-
-  const int num_verts = mesh_verts.size();
-  vector<bool> done(num_verts, false);
-
-  int num_triangles = mesh->num_triangles();
-  for (int i = 0; i < num_triangles; i++) {
-    Mesh::Triangle t = mesh->get_triangle(i);
-    int shader_index = mesh_shaders[i];
-    Shader *shader = (shader_index < mesh_used_shaders.size()) ?
-                         static_cast<Shader *>(mesh_used_shaders[shader_index]) :
-                         scene->default_surface;
-
-    if (!shader->has_displacement || shader->get_displacement_method() == DISPLACE_BUMP) {
-      continue;
-    }
-
-    for (int j = 0; j < 3; j++) {
-      if (done[t.v[j]])
-        continue;
-
-      done[t.v[j]] = true;
-
-      /* set up object, primitive and barycentric coordinates */
-      int object = object_index;
-      int prim = mesh->prim_offset + i;
-      float u, v;
-
-      switch (j) {
-        case 0:
-          u = 1.0f;
-          v = 0.0f;
-          break;
-        case 1:
-          u = 0.0f;
-          v = 1.0f;
-          break;
-        default:
-          u = 0.0f;
-          v = 0.0f;
-          break;
-      }
-
-      /* back */
-      KernelShaderEvalInput in;
-      in.object = object;
-      in.prim = prim;
-      in.u = u;
-      in.v = v;
-      d_input_data[d_input_size++] = in;
-    }
-  }
-
-  return d_input_size;
-}
-
-/* Read back mesh displacement shader output. */
-static void read_shader_output(const Scene *scene,
-                               Mesh *mesh,
-                               const device_vector<float> &d_output)
-{
-  const array<int> &mesh_shaders = mesh->get_shader();
-  const array<Node *> &mesh_used_shaders = mesh->get_used_shaders();
-  array<float3> &mesh_verts = mesh->get_verts();
-
-  const int num_verts = mesh_verts.size();
-  const int num_motion_steps = mesh->get_motion_steps();
-  vector<bool> done(num_verts, false);
-
-  const float *d_output_data = d_output.data();
-  int d_output_index = 0;
-
-  Attribute *attr_mP = mesh->attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-  int num_triangles = mesh->num_triangles();
-  for (int i = 0; i < num_triangles; i++) {
-    Mesh::Triangle t = mesh->get_triangle(i);
-    int shader_index = mesh_shaders[i];
-    Shader *shader = (shader_index < mesh_used_shaders.size()) ?
-                         static_cast<Shader *>(mesh_used_shaders[shader_index]) :
-                         scene->default_surface;
-
-    if (!shader->has_displacement || shader->get_displacement_method() == DISPLACE_BUMP) {
-      continue;
-    }
-
-    for (int j = 0; j < 3; j++) {
-      if (!done[t.v[j]]) {
-        done[t.v[j]] = true;
-        float3 off = make_float3(d_output_data[d_output_index + 0],
-                                 d_output_data[d_output_index + 1],
-                                 d_output_data[d_output_index + 2]);
-        d_output_index += 3;
-
-        /* Avoid illegal vertex coordinates. */
-        off = ensure_finite3(off);
-        mesh_verts[t.v[j]] += off;
-        if (attr_mP != NULL) {
-          for (int step = 0; step < num_motion_steps - 1; step++) {
-            float3 *mP = attr_mP->data_float3() + step * num_verts;
-            mP[t.v[j]] += off;
-          }
-        }
-      }
-    }
-  }
-}
-
-bool GeometryManager::displace(Device *device, Scene *scene, Mesh *mesh, Progress &progress)
-{
-  /* verify if we have a displacement shader */
-  if (!mesh->has_true_displacement()) {
-    return false;
-  }
-
-  const size_t num_verts = mesh->verts.size();
-  const size_t num_triangles = mesh->num_triangles();
-
-  if (num_triangles == 0) {
-    return false;
-  }
-
-  string msg = string_printf("Computing Displacement %s", mesh->name.c_str());
-  progress.set_status("Updating Mesh", msg);
-
-  /* find object index. todo: is arbitrary */
-  size_t object_index = OBJECT_NONE;
-
-  for (size_t i = 0; i < scene->objects.size(); i++) {
-    if (scene->objects[i]->get_geometry() == mesh) {
-      object_index = i;
-      break;
-    }
-  }
-
-  /* Evaluate shader on device. */
-  ShaderEval shader_eval(device, progress);
-  if (!shader_eval.eval(SHADER_EVAL_DISPLACE,
-                        num_verts,
-                        3,
-                        function_bind(&fill_shader_input, scene, mesh, object_index, _1),
-                        function_bind(&read_shader_output, scene, mesh, _1))) {
-    return false;
-  }
-
-  /* stitch */
-  unordered_set<int> stitch_keys;
-  for (pair<int, int> i : mesh->vert_to_stitching_key_map) {
-    stitch_keys.insert(i.second); /* stitching index */
-  }
-
-  typedef unordered_multimap<int, int>::iterator map_it_t;
-
-  for (int key : stitch_keys) {
-    pair<map_it_t, map_it_t> verts = mesh->vert_stitching_map.equal_range(key);
-
-    float3 pos = zero_float3();
-    int num = 0;
-
-    for (map_it_t v = verts.first; v != verts.second; ++v) {
-      int vert = v->second;
-
-      pos += mesh->verts[vert];
-      num++;
-    }
-
-    if (num <= 1) {
-      continue;
-    }
-
-    pos *= 1.0f / num;
-
-    for (map_it_t v = verts.first; v != verts.second; ++v) {
-      mesh->verts[v->second] = pos;
-    }
-  }
-
-  /* for displacement method both, we only need to recompute the face
-   * normals, as bump mapping in the shader will already alter the
-   * vertex normal, so we start from the non-displaced vertex normals
-   * to avoid applying the perturbation twice. */
-  mesh->attributes.remove(ATTR_STD_FACE_NORMAL);
-  mesh->add_face_normals();
-
-  bool need_recompute_vertex_normals = false;
-
-  foreach (Node *node, mesh->get_used_shaders()) {
-    Shader *shader = static_cast<Shader *>(node);
-    if (shader->has_displacement && shader->get_displacement_method() == DISPLACE_TRUE) {
-      need_recompute_vertex_normals = true;
-      break;
-    }
-  }
-
-  if (need_recompute_vertex_normals) {
-    bool flip = mesh->transform_negative_scaled;
-    vector<bool> tri_has_true_disp(num_triangles, false);
-
-    for (size_t i = 0; i < num_triangles; i++) {
-      int shader_index = mesh->shader[i];
-      Shader *shader = (shader_index < mesh->used_shaders.size()) ?
-                           static_cast<Shader *>(mesh->used_shaders[shader_index]) :
-                           scene->default_surface;
-
-      tri_has_true_disp[i] = shader->has_displacement &&
-                             shader->get_displacement_method() == DISPLACE_TRUE;
-    }
-
-    /* static vertex normals */
-
-    /* get attributes */
-    Attribute *attr_fN = mesh->attributes.find(ATTR_STD_FACE_NORMAL);
-    Attribute *attr_vN = mesh->attributes.find(ATTR_STD_VERTEX_NORMAL);
-
-    float3 *fN = attr_fN->data_float3();
-    float3 *vN = attr_vN->data_float3();
-
-    /* compute vertex normals */
-
-    /* zero vertex normals on triangles with true displacement */
-    for (size_t i = 0; i < num_triangles; i++) {
-      if (tri_has_true_disp[i]) {
-        for (size_t j = 0; j < 3; j++) {
-          vN[mesh->get_triangle(i).v[j]] = zero_float3();
-        }
-      }
-    }
-
-    /* add face normals to vertex normals */
-    for (size_t i = 0; i < num_triangles; i++) {
-      if (tri_has_true_disp[i]) {
-        for (size_t j = 0; j < 3; j++) {
-          int vert = mesh->get_triangle(i).v[j];
-          vN[vert] += fN[i];
-
-          /* add face normals to stitched vertices */
-          if (stitch_keys.size()) {
-            map_it_t key = mesh->vert_to_stitching_key_map.find(vert);
-
-            if (key != mesh->vert_to_stitching_key_map.end()) {
-              pair<map_it_t, map_it_t> verts = mesh->vert_stitching_map.equal_range(key->second);
-
-              for (map_it_t v = verts.first; v != verts.second; ++v) {
-                if (v->second == vert) {
-                  continue;
-                }
-
-                vN[v->second] += fN[i];
-              }
-            }
-          }
-        }
-      }
-    }
-
-    /* normalize vertex normals */
-    vector<bool> done(num_verts, false);
-
-    for (size_t i = 0; i < num_triangles; i++) {
-      if (tri_has_true_disp[i]) {
-        for (size_t j = 0; j < 3; j++) {
-          int vert = mesh->get_triangle(i).v[j];
-
-          if (done[vert]) {
-            continue;
-          }
-
-          vN[vert] = normalize(vN[vert]);
-          if (flip)
-            vN[vert] = -vN[vert];
-
-          done[vert] = true;
-        }
-      }
-    }
-
-    /* motion vertex normals */
-    Attribute *attr_mP = mesh->attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
-    Attribute *attr_mN = mesh->attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
-
-    if (mesh->has_motion_blur() && attr_mP && attr_mN) {
-      for (int step = 0; step < mesh->motion_steps - 1; step++) {
-        float3 *mP = attr_mP->data_float3() + step * mesh->verts.size();
-        float3 *mN = attr_mN->data_float3() + step * mesh->verts.size();
-
-        /* compute */
-
-        /* zero vertex normals on triangles with true displacement */
-        for (size_t i = 0; i < num_triangles; i++) {
-          if (tri_has_true_disp[i]) {
-            for (size_t j = 0; j < 3; j++) {
-              mN[mesh->get_triangle(i).v[j]] = zero_float3();
-            }
-          }
-        }
-
-        /* add face normals to vertex normals */
-        for (size_t i = 0; i < num_triangles; i++) {
-          if (tri_has_true_disp[i]) {
-            for (size_t j = 0; j < 3; j++) {
-              int vert = mesh->get_triangle(i).v[j];
-              float3 fN = compute_face_normal(mesh->get_triangle(i), mP);
-              mN[vert] += fN;
-
-              /* add face normals to stitched vertices */
-              if (stitch_keys.size()) {
-                map_it_t key = mesh->vert_to_stitching_key_map.find(vert);
-
-                if (key != mesh->vert_to_stitching_key_map.end()) {
-                  pair<map_it_t, map_it_t> verts = mesh->vert_stitching_map.equal_range(
-                      key->second);
-
-                  for (map_it_t v = verts.first; v != verts.second; ++v) {
-                    if (v->second == vert) {
-                      continue;
-                    }
-
-                    mN[v->second] += fN;
-                  }
-                }
-              }
-            }
-          }
-        }
-
-        /* normalize vertex normals */
-        vector<bool> done(num_verts, false);
-
-        for (size_t i = 0; i < num_triangles; i++) {
-          if (tri_has_true_disp[i]) {
-            for (size_t j = 0; j < 3; j++) {
-              int vert = mesh->get_triangle(i).v[j];
-
-              if (done[vert]) {
-                continue;
-              }
-
-              mN[vert] = normalize(mN[vert]);
-              if (flip)
-                mN[vert] = -mN[vert];
-
-              done[vert] = true;
-            }
-          }
-        }
-      }
-    }
-  }
-
-  return true;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/mesh_subdivision.cpp b/intern/cycles/render/mesh_subdivision.cpp
deleted file mode 100644
index 575dbef8ec2..00000000000
--- a/intern/cycles/render/mesh_subdivision.cpp
+++ /dev/null
@@ -1,648 +0,0 @@
-/*
- * Copyright 2011-2016 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/attribute.h"
-#include "render/camera.h"
-#include "render/mesh.h"
-
-#include "subd/subd_patch.h"
-#include "subd/subd_patch_table.h"
-#include "subd/subd_split.h"
-
-#include "util/util_algorithm.h"
-#include "util/util_foreach.h"
-#include "util/util_hash.h"
-
-CCL_NAMESPACE_BEGIN
-
-#ifdef WITH_OPENSUBDIV
-
-CCL_NAMESPACE_END
-
-#  include <opensubdiv/far/patchMap.h>
-#  include <opensubdiv/far/patchTableFactory.h>
-#  include <opensubdiv/far/primvarRefiner.h>
-#  include <opensubdiv/far/topologyRefinerFactory.h>
-
-/* specializations of TopologyRefinerFactory for ccl::Mesh */
-
-namespace OpenSubdiv {
-namespace OPENSUBDIV_VERSION {
-namespace Far {
-template<>
-bool TopologyRefinerFactory<ccl::Mesh>::resizeComponentTopology(TopologyRefiner &refiner,
-                                                                ccl::Mesh const &mesh)
-{
-  setNumBaseVertices(refiner, mesh.get_verts().size());
-  setNumBaseFaces(refiner, mesh.get_num_subd_faces());
-
-  for (int i = 0; i < mesh.get_num_subd_faces(); i++) {
-    setNumBaseFaceVertices(refiner, i, mesh.get_subd_num_corners()[i]);
-  }
-
-  return true;
-}
-
-template<>
-bool TopologyRefinerFactory<ccl::Mesh>::assignComponentTopology(TopologyRefiner &refiner,
-                                                                ccl::Mesh const &mesh)
-{
-  const ccl::array<int> &subd_face_corners = mesh.get_subd_face_corners();
-  const ccl::array<int> &subd_start_corner = mesh.get_subd_start_corner();
-  const ccl::array<int> &subd_num_corners = mesh.get_subd_num_corners();
-
-  for (int i = 0; i < mesh.get_num_subd_faces(); i++) {
-    IndexArray face_verts = getBaseFaceVertices(refiner, i);
-
-    int start_corner = subd_start_corner[i];
-    int *corner = &subd_face_corners[start_corner];
-
-    for (int j = 0; j < subd_num_corners[i]; j++, corner++) {
-      face_verts[j] = *corner;
-    }
-  }
-
-  return true;
-}
-
-template<>
-bool TopologyRefinerFactory<ccl::Mesh>::assignComponentTags(TopologyRefiner &refiner,
-                                                            ccl::Mesh const &mesh)
-{
-  size_t num_creases = mesh.get_subd_creases_weight().size();
-
-  for (int i = 0; i < num_creases; i++) {
-    ccl::Mesh::SubdEdgeCrease crease = mesh.get_subd_crease(i);
-    Index edge = findBaseEdge(refiner, crease.v[0], crease.v[1]);
-
-    if (edge != INDEX_INVALID) {
-      setBaseEdgeSharpness(refiner, edge, crease.crease * 10.0f);
-    }
-  }
-
-  for (int i = 0; i < mesh.get_verts().size(); i++) {
-    ConstIndexArray vert_edges = getBaseVertexEdges(refiner, i);
-
-    if (vert_edges.size() == 2) {
-      float sharpness = refiner.getLevel(0).getEdgeSharpness(vert_edges[0]);
-      sharpness = ccl::min(sharpness, refiner.getLevel(0).getEdgeSharpness(vert_edges[1]));
-
-      setBaseVertexSharpness(refiner, i, sharpness);
-    }
-  }
-
-  return true;
-}
-
-template<>
-bool TopologyRefinerFactory<ccl::Mesh>::assignFaceVaryingTopology(TopologyRefiner & /*refiner*/,
-                                                                  ccl::Mesh const & /*mesh*/)
-{
-  return true;
-}
-
-template<>
-void TopologyRefinerFactory<ccl::Mesh>::reportInvalidTopology(TopologyError /*err_code*/,
-                                                              char const * /*msg*/,
-                                                              ccl::Mesh const & /*mesh*/)
-{
-}
-} /* namespace Far */
-} /* namespace OPENSUBDIV_VERSION */
-} /* namespace OpenSubdiv */
-
-CCL_NAMESPACE_BEGIN
-
-using namespace OpenSubdiv;
-
-/* struct that implements OpenSubdiv's vertex interface */
-
-template<typename T> struct OsdValue {
-  T value;
-
-  OsdValue()
-  {
-  }
-
-  void Clear(void * = 0)
-  {
-    memset(&value, 0, sizeof(T));
-  }
-
-  void AddWithWeight(OsdValue<T> const &src, float weight)
-  {
-    value += src.value * weight;
-  }
-};
-
-template<> void OsdValue<uchar4>::AddWithWeight(OsdValue<uchar4> const &src, float weight)
-{
-  for (int i = 0; i < 4; i++) {
-    value[i] += (uchar)(src.value[i] * weight);
-  }
-}
-
-/* class for holding OpenSubdiv data used during tessellation */
-
-class OsdData {
-  Mesh *mesh;
-  vector<OsdValue<float3>> verts;
-  Far::TopologyRefiner *refiner;
-  Far::PatchTable *patch_table;
-  Far::PatchMap *patch_map;
-
- public:
-  OsdData() : mesh(NULL), refiner(NULL), patch_table(NULL), patch_map(NULL)
-  {
-  }
-
-  ~OsdData()
-  {
-    delete refiner;
-    delete patch_table;
-    delete patch_map;
-  }
-
-  void build_from_mesh(Mesh *mesh_)
-  {
-    mesh = mesh_;
-
-    /* type and options */
-    Sdc::SchemeType type = Sdc::SCHEME_CATMARK;
-
-    Sdc::Options options;
-    options.SetVtxBoundaryInterpolation(Sdc::Options::VTX_BOUNDARY_EDGE_ONLY);
-
-    /* create refiner */
-    refiner = Far::TopologyRefinerFactory<Mesh>::Create(
-        *mesh, Far::TopologyRefinerFactory<Mesh>::Options(type, options));
-
-    /* adaptive refinement */
-    int max_isolation = calculate_max_isolation();
-    refiner->RefineAdaptive(Far::TopologyRefiner::AdaptiveOptions(max_isolation));
-
-    /* create patch table */
-    Far::PatchTableFactory::Options patch_options;
-    patch_options.endCapType = Far::PatchTableFactory::Options::ENDCAP_GREGORY_BASIS;
-
-    patch_table = Far::PatchTableFactory::Create(*refiner, patch_options);
-
-    /* interpolate verts */
-    int num_refiner_verts = refiner->GetNumVerticesTotal();
-    int num_local_points = patch_table->GetNumLocalPoints();
-
-    verts.resize(num_refiner_verts + num_local_points);
-    for (int i = 0; i < mesh->get_verts().size(); i++) {
-      verts[i].value = mesh->get_verts()[i];
-    }
-
-    OsdValue<float3> *src = verts.data();
-    for (int i = 0; i < refiner->GetMaxLevel(); i++) {
-      OsdValue<float3> *dest = src + refiner->GetLevel(i).GetNumVertices();
-      Far::PrimvarRefiner(*refiner).Interpolate(i + 1, src, dest);
-      src = dest;
-    }
-
-    if (num_local_points) {
-      patch_table->ComputeLocalPointValues(&verts[0], &verts[num_refiner_verts]);
-    }
-
-    /* create patch map */
-    patch_map = new Far::PatchMap(*patch_table);
-  }
-
-  void subdivide_attribute(Attribute &attr)
-  {
-    Far::PrimvarRefiner primvar_refiner(*refiner);
-
-    if (attr.element == ATTR_ELEMENT_VERTEX) {
-      int num_refiner_verts = refiner->GetNumVerticesTotal();
-      int num_local_points = patch_table->GetNumLocalPoints();
-
-      attr.resize(num_refiner_verts + num_local_points);
-      attr.flags |= ATTR_FINAL_SIZE;
-
-      char *src = attr.buffer.data();
-
-      for (int i = 0; i < refiner->GetMaxLevel(); i++) {
-        char *dest = src + refiner->GetLevel(i).GetNumVertices() * attr.data_sizeof();
-
-        if (attr.same_storage(attr.type, TypeDesc::TypeFloat)) {
-          primvar_refiner.Interpolate(i + 1, (OsdValue<float> *)src, (OsdValue<float> *&)dest);
-        }
-        else if (attr.same_storage(attr.type, TypeFloat2)) {
-          primvar_refiner.Interpolate(i + 1, (OsdValue<float2> *)src, (OsdValue<float2> *&)dest);
-        }
-        else {
-          primvar_refiner.Interpolate(i + 1, (OsdValue<float4> *)src, (OsdValue<float4> *&)dest);
-        }
-
-        src = dest;
-      }
-
-      if (num_local_points) {
-        if (attr.same_storage(attr.type, TypeDesc::TypeFloat)) {
-          patch_table->ComputeLocalPointValues(
-              (OsdValue<float> *)&attr.buffer[0],
-              (OsdValue<float> *)&attr.buffer[num_refiner_verts * attr.data_sizeof()]);
-        }
-        else if (attr.same_storage(attr.type, TypeFloat2)) {
-          patch_table->ComputeLocalPointValues(
-              (OsdValue<float2> *)&attr.buffer[0],
-              (OsdValue<float2> *)&attr.buffer[num_refiner_verts * attr.data_sizeof()]);
-        }
-        else {
-          patch_table->ComputeLocalPointValues(
-              (OsdValue<float4> *)&attr.buffer[0],
-              (OsdValue<float4> *)&attr.buffer[num_refiner_verts * attr.data_sizeof()]);
-        }
-      }
-    }
-    else if (attr.element == ATTR_ELEMENT_CORNER || attr.element == ATTR_ELEMENT_CORNER_BYTE) {
-      // TODO(mai): fvar interpolation
-    }
-  }
-
-  int calculate_max_isolation()
-  {
-    /* loop over all edges to find longest in screen space */
-    const Far::TopologyLevel &level = refiner->GetLevel(0);
-    const SubdParams *subd_params = mesh->get_subd_params();
-    Transform objecttoworld = subd_params->objecttoworld;
-    Camera *cam = subd_params->camera;
-
-    float longest_edge = 0.0f;
-
-    for (size_t i = 0; i < level.GetNumEdges(); i++) {
-      Far::ConstIndexArray verts = level.GetEdgeVertices(i);
-
-      float3 a = mesh->get_verts()[verts[0]];
-      float3 b = mesh->get_verts()[verts[1]];
-
-      float edge_len;
-
-      if (cam) {
-        a = transform_point(&objecttoworld, a);
-        b = transform_point(&objecttoworld, b);
-
-        edge_len = len(a - b) / cam->world_to_raster_size((a + b) * 0.5f);
-      }
-      else {
-        edge_len = len(a - b);
-      }
-
-      longest_edge = max(longest_edge, edge_len);
-    }
-
-    /* calculate isolation level */
-    int isolation = (int)(log2f(max(longest_edge / subd_params->dicing_rate, 1.0f)) + 1.0f);
-
-    return min(isolation, 10);
-  }
-
-  friend struct OsdPatch;
-  friend class Mesh;
-};
-
-/* ccl::Patch implementation that uses OpenSubdiv for eval */
-
-struct OsdPatch : Patch {
-  OsdData *osd_data;
-
-  OsdPatch()
-  {
-  }
-  OsdPatch(OsdData *data) : osd_data(data)
-  {
-  }
-
-  void eval(float3 *P, float3 *dPdu, float3 *dPdv, float3 *N, float u, float v)
-  {
-    const Far::PatchTable::PatchHandle *handle = osd_data->patch_map->FindPatch(patch_index, u, v);
-    assert(handle);
-
-    float p_weights[20], du_weights[20], dv_weights[20];
-    osd_data->patch_table->EvaluateBasis(*handle, u, v, p_weights, du_weights, dv_weights);
-
-    Far::ConstIndexArray cv = osd_data->patch_table->GetPatchVertices(*handle);
-
-    float3 du, dv;
-    if (P)
-      *P = zero_float3();
-    du = zero_float3();
-    dv = zero_float3();
-
-    for (int i = 0; i < cv.size(); i++) {
-      float3 p = osd_data->verts[cv[i]].value;
-
-      if (P)
-        *P += p * p_weights[i];
-      du += p * du_weights[i];
-      dv += p * dv_weights[i];
-    }
-
-    if (dPdu)
-      *dPdu = du;
-    if (dPdv)
-      *dPdv = dv;
-    if (N) {
-      *N = cross(du, dv);
-
-      float t = len(*N);
-      *N = (t != 0.0f) ? *N / t : make_float3(0.0f, 0.0f, 1.0f);
-    }
-  }
-};
-
-#endif
-
-void Mesh::tessellate(DiagSplit *split)
-{
-  /* reset the number of subdivision vertices, in case the Mesh was not cleared
-   * between calls or data updates */
-  num_subd_verts = 0;
-
-#ifdef WITH_OPENSUBDIV
-  OsdData osd_data;
-  bool need_packed_patch_table = false;
-
-  if (subdivision_type == SUBDIVISION_CATMULL_CLARK) {
-    if (get_num_subd_faces()) {
-      osd_data.build_from_mesh(this);
-    }
-  }
-  else
-#endif
-  {
-    /* force linear subdivision if OpenSubdiv is unavailable to avoid
-     * falling into catmull-clark code paths by accident
-     */
-    subdivision_type = SUBDIVISION_LINEAR;
-
-    /* force disable attribute subdivision for same reason as above */
-    foreach (Attribute &attr, subd_attributes.attributes) {
-      attr.flags &= ~ATTR_SUBDIVIDED;
-    }
-  }
-
-  int num_faces = get_num_subd_faces();
-
-  Attribute *attr_vN = subd_attributes.find(ATTR_STD_VERTEX_NORMAL);
-  float3 *vN = (attr_vN) ? attr_vN->data_float3() : NULL;
-
-  /* count patches */
-  int num_patches = 0;
-  for (int f = 0; f < num_faces; f++) {
-    SubdFace face = get_subd_face(f);
-
-    if (face.is_quad()) {
-      num_patches++;
-    }
-    else {
-      num_patches += face.num_corners;
-    }
-  }
-
-  /* build patches from faces */
-#ifdef WITH_OPENSUBDIV
-  if (subdivision_type == SUBDIVISION_CATMULL_CLARK) {
-    vector<OsdPatch> osd_patches(num_patches, &osd_data);
-    OsdPatch *patch = osd_patches.data();
-
-    for (int f = 0; f < num_faces; f++) {
-      SubdFace face = get_subd_face(f);
-
-      if (face.is_quad()) {
-        patch->patch_index = face.ptex_offset;
-        patch->from_ngon = false;
-        patch->shader = face.shader;
-        patch++;
-      }
-      else {
-        for (int corner = 0; corner < face.num_corners; corner++) {
-          patch->patch_index = face.ptex_offset + corner;
-          patch->from_ngon = true;
-          patch->shader = face.shader;
-          patch++;
-        }
-      }
-    }
-
-    /* split patches */
-    split->split_patches(osd_patches.data(), sizeof(OsdPatch));
-  }
-  else
-#endif
-  {
-    vector<LinearQuadPatch> linear_patches(num_patches);
-    LinearQuadPatch *patch = linear_patches.data();
-
-    for (int f = 0; f < num_faces; f++) {
-      SubdFace face = get_subd_face(f);
-
-      if (face.is_quad()) {
-        float3 *hull = patch->hull;
-        float3 *normals = patch->normals;
-
-        patch->patch_index = face.ptex_offset;
-        patch->from_ngon = false;
-
-        for (int i = 0; i < 4; i++) {
-          hull[i] = verts[subd_face_corners[face.start_corner + i]];
-        }
-
-        if (face.smooth) {
-          for (int i = 0; i < 4; i++) {
-            normals[i] = vN[subd_face_corners[face.start_corner + i]];
-          }
-        }
-        else {
-          float3 N = face.normal(this);
-          for (int i = 0; i < 4; i++) {
-            normals[i] = N;
-          }
-        }
-
-        swap(hull[2], hull[3]);
-        swap(normals[2], normals[3]);
-
-        patch->shader = face.shader;
-        patch++;
-      }
-      else {
-        /* ngon */
-        float3 center_vert = zero_float3();
-        float3 center_normal = zero_float3();
-
-        float inv_num_corners = 1.0f / float(face.num_corners);
-        for (int corner = 0; corner < face.num_corners; corner++) {
-          center_vert += verts[subd_face_corners[face.start_corner + corner]] * inv_num_corners;
-          center_normal += vN[subd_face_corners[face.start_corner + corner]] * inv_num_corners;
-        }
-
-        for (int corner = 0; corner < face.num_corners; corner++) {
-          float3 *hull = patch->hull;
-          float3 *normals = patch->normals;
-
-          patch->patch_index = face.ptex_offset + corner;
-          patch->from_ngon = true;
-
-          patch->shader = face.shader;
-
-          hull[0] =
-              verts[subd_face_corners[face.start_corner + mod(corner + 0, face.num_corners)]];
-          hull[1] =
-              verts[subd_face_corners[face.start_corner + mod(corner + 1, face.num_corners)]];
-          hull[2] =
-              verts[subd_face_corners[face.start_corner + mod(corner - 1, face.num_corners)]];
-          hull[3] = center_vert;
-
-          hull[1] = (hull[1] + hull[0]) * 0.5;
-          hull[2] = (hull[2] + hull[0]) * 0.5;
-
-          if (face.smooth) {
-            normals[0] =
-                vN[subd_face_corners[face.start_corner + mod(corner + 0, face.num_corners)]];
-            normals[1] =
-                vN[subd_face_corners[face.start_corner + mod(corner + 1, face.num_corners)]];
-            normals[2] =
-                vN[subd_face_corners[face.start_corner + mod(corner - 1, face.num_corners)]];
-            normals[3] = center_normal;
-
-            normals[1] = (normals[1] + normals[0]) * 0.5;
-            normals[2] = (normals[2] + normals[0]) * 0.5;
-          }
-          else {
-            float3 N = face.normal(this);
-            for (int i = 0; i < 4; i++) {
-              normals[i] = N;
-            }
-          }
-
-          patch++;
-        }
-      }
-    }
-
-    /* split patches */
-    split->split_patches(linear_patches.data(), sizeof(LinearQuadPatch));
-  }
-
-  /* interpolate center points for attributes */
-  foreach (Attribute &attr, subd_attributes.attributes) {
-#ifdef WITH_OPENSUBDIV
-    if (subdivision_type == SUBDIVISION_CATMULL_CLARK && attr.flags & ATTR_SUBDIVIDED) {
-      if (attr.element == ATTR_ELEMENT_CORNER || attr.element == ATTR_ELEMENT_CORNER_BYTE) {
-        /* keep subdivision for corner attributes disabled for now */
-        attr.flags &= ~ATTR_SUBDIVIDED;
-      }
-      else if (get_num_subd_faces()) {
-        osd_data.subdivide_attribute(attr);
-
-        need_packed_patch_table = true;
-        continue;
-      }
-    }
-#endif
-
-    char *data = attr.data();
-    size_t stride = attr.data_sizeof();
-    int ngons = 0;
-
-    switch (attr.element) {
-      case ATTR_ELEMENT_VERTEX: {
-        for (int f = 0; f < num_faces; f++) {
-          SubdFace face = get_subd_face(f);
-
-          if (!face.is_quad()) {
-            char *center = data + (verts.size() - num_subd_verts + ngons) * stride;
-            attr.zero_data(center);
-
-            float inv_num_corners = 1.0f / float(face.num_corners);
-
-            for (int corner = 0; corner < face.num_corners; corner++) {
-              attr.add_with_weight(center,
-                                   data + subd_face_corners[face.start_corner + corner] * stride,
-                                   inv_num_corners);
-            }
-
-            ngons++;
-          }
-        }
-      } break;
-      case ATTR_ELEMENT_VERTEX_MOTION: {
-        // TODO(mai): implement
-      } break;
-      case ATTR_ELEMENT_CORNER: {
-        for (int f = 0; f < num_faces; f++) {
-          SubdFace face = get_subd_face(f);
-
-          if (!face.is_quad()) {
-            char *center = data + (subd_face_corners.size() + ngons) * stride;
-            attr.zero_data(center);
-
-            float inv_num_corners = 1.0f / float(face.num_corners);
-
-            for (int corner = 0; corner < face.num_corners; corner++) {
-              attr.add_with_weight(
-                  center, data + (face.start_corner + corner) * stride, inv_num_corners);
-            }
-
-            ngons++;
-          }
-        }
-      } break;
-      case ATTR_ELEMENT_CORNER_BYTE: {
-        for (int f = 0; f < num_faces; f++) {
-          SubdFace face = get_subd_face(f);
-
-          if (!face.is_quad()) {
-            uchar *center = (uchar *)data + (subd_face_corners.size() + ngons) * stride;
-
-            float inv_num_corners = 1.0f / float(face.num_corners);
-            float4 val = zero_float4();
-
-            for (int corner = 0; corner < face.num_corners; corner++) {
-              for (int i = 0; i < 4; i++) {
-                val[i] += float(*(data + (face.start_corner + corner) * stride + i)) *
-                          inv_num_corners;
-              }
-            }
-
-            for (int i = 0; i < 4; i++) {
-              center[i] = uchar(min(max(val[i], 0.0f), 255.0f));
-            }
-
-            ngons++;
-          }
-        }
-      } break;
-      default:
-        break;
-    }
-  }
-
-#ifdef WITH_OPENSUBDIV
-  /* pack patch tables */
-  if (need_packed_patch_table) {
-    delete patch_table;
-    patch_table = new PackedPatchTable;
-    patch_table->pack(osd_data.patch_table);
-  }
-#endif
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/nodes.cpp b/intern/cycles/render/nodes.cpp
deleted file mode 100644
index d775859d24d..00000000000
--- a/intern/cycles/render/nodes.cpp
+++ /dev/null
@@ -1,7170 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/nodes.h"
-#include "render/colorspace.h"
-#include "render/constant_fold.h"
-#include "render/film.h"
-#include "render/image.h"
-#include "render/image_sky.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/osl.h"
-#include "render/scene.h"
-#include "render/svm.h"
-
-#include "sky_model.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_transform.h"
-
-#include "kernel/svm/svm_color_util.h"
-#include "kernel/svm/svm_mapping_util.h"
-#include "kernel/svm/svm_math_util.h"
-#include "kernel/svm/svm_ramp_util.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Texture Mapping */
-
-#define TEXTURE_MAPPING_DEFINE(TextureNode) \
-  SOCKET_POINT(tex_mapping.translation, "Translation", zero_float3()); \
-  SOCKET_VECTOR(tex_mapping.rotation, "Rotation", zero_float3()); \
-  SOCKET_VECTOR(tex_mapping.scale, "Scale", one_float3()); \
-\
-  SOCKET_VECTOR(tex_mapping.min, "Min", make_float3(-FLT_MAX, -FLT_MAX, -FLT_MAX)); \
-  SOCKET_VECTOR(tex_mapping.max, "Max", make_float3(FLT_MAX, FLT_MAX, FLT_MAX)); \
-  SOCKET_BOOLEAN(tex_mapping.use_minmax, "Use Min Max", false); \
-\
-  static NodeEnum mapping_axis_enum; \
-  mapping_axis_enum.insert("none", TextureMapping::NONE); \
-  mapping_axis_enum.insert("x", TextureMapping::X); \
-  mapping_axis_enum.insert("y", TextureMapping::Y); \
-  mapping_axis_enum.insert("z", TextureMapping::Z); \
-  SOCKET_ENUM(tex_mapping.x_mapping, "x_mapping", mapping_axis_enum, TextureMapping::X); \
-  SOCKET_ENUM(tex_mapping.y_mapping, "y_mapping", mapping_axis_enum, TextureMapping::Y); \
-  SOCKET_ENUM(tex_mapping.z_mapping, "z_mapping", mapping_axis_enum, TextureMapping::Z); \
-\
-  static NodeEnum mapping_type_enum; \
-  mapping_type_enum.insert("point", TextureMapping::POINT); \
-  mapping_type_enum.insert("texture", TextureMapping::TEXTURE); \
-  mapping_type_enum.insert("vector", TextureMapping::VECTOR); \
-  mapping_type_enum.insert("normal", TextureMapping::NORMAL); \
-  SOCKET_ENUM(tex_mapping.type, "Type", mapping_type_enum, TextureMapping::TEXTURE); \
-\
-  static NodeEnum mapping_projection_enum; \
-  mapping_projection_enum.insert("flat", TextureMapping::FLAT); \
-  mapping_projection_enum.insert("cube", TextureMapping::CUBE); \
-  mapping_projection_enum.insert("tube", TextureMapping::TUBE); \
-  mapping_projection_enum.insert("sphere", TextureMapping::SPHERE); \
-  SOCKET_ENUM(tex_mapping.projection, "Projection", mapping_projection_enum, TextureMapping::FLAT);
-
-TextureMapping::TextureMapping()
-{
-}
-
-Transform TextureMapping::compute_transform()
-{
-  Transform mmat = transform_scale(zero_float3());
-
-  if (x_mapping != NONE)
-    mmat[0][x_mapping - 1] = 1.0f;
-  if (y_mapping != NONE)
-    mmat[1][y_mapping - 1] = 1.0f;
-  if (z_mapping != NONE)
-    mmat[2][z_mapping - 1] = 1.0f;
-
-  float3 scale_clamped = scale;
-
-  if (type == TEXTURE || type == NORMAL) {
-    /* keep matrix invertible */
-    if (fabsf(scale.x) < 1e-5f)
-      scale_clamped.x = signf(scale.x) * 1e-5f;
-    if (fabsf(scale.y) < 1e-5f)
-      scale_clamped.y = signf(scale.y) * 1e-5f;
-    if (fabsf(scale.z) < 1e-5f)
-      scale_clamped.z = signf(scale.z) * 1e-5f;
-  }
-
-  Transform smat = transform_scale(scale_clamped);
-  Transform rmat = transform_euler(rotation);
-  Transform tmat = transform_translate(translation);
-
-  Transform mat;
-
-  switch (type) {
-    case TEXTURE:
-      /* inverse transform on texture coordinate gives
-       * forward transform on texture */
-      mat = tmat * rmat * smat;
-      mat = transform_inverse(mat);
-      break;
-    case POINT:
-      /* full transform */
-      mat = tmat * rmat * smat;
-      break;
-    case VECTOR:
-      /* no translation for vectors */
-      mat = rmat * smat;
-      break;
-    case NORMAL:
-      /* no translation for normals, and inverse transpose */
-      mat = rmat * smat;
-      mat = transform_transposed_inverse(mat);
-      break;
-  }
-
-  /* projection last */
-  mat = mat * mmat;
-
-  return mat;
-}
-
-bool TextureMapping::skip()
-{
-  if (translation != zero_float3())
-    return false;
-  if (rotation != zero_float3())
-    return false;
-  if (scale != one_float3())
-    return false;
-
-  if (x_mapping != X || y_mapping != Y || z_mapping != Z)
-    return false;
-  if (use_minmax)
-    return false;
-
-  return true;
-}
-
-void TextureMapping::compile(SVMCompiler &compiler, int offset_in, int offset_out)
-{
-  compiler.add_node(NODE_TEXTURE_MAPPING, offset_in, offset_out);
-
-  Transform tfm = compute_transform();
-  compiler.add_node(tfm.x);
-  compiler.add_node(tfm.y);
-  compiler.add_node(tfm.z);
-
-  if (use_minmax) {
-    compiler.add_node(NODE_MIN_MAX, offset_out, offset_out);
-    compiler.add_node(float3_to_float4(min));
-    compiler.add_node(float3_to_float4(max));
-  }
-
-  if (type == NORMAL) {
-    compiler.add_node(NODE_VECTOR_MATH,
-                      NODE_VECTOR_MATH_NORMALIZE,
-                      compiler.encode_uchar4(offset_out, offset_out, offset_out),
-                      compiler.encode_uchar4(SVM_STACK_INVALID, offset_out));
-  }
-}
-
-/* Convenience function for texture nodes, allocating stack space to output
- * a modified vector and returning its offset */
-int TextureMapping::compile_begin(SVMCompiler &compiler, ShaderInput *vector_in)
-{
-  if (!skip()) {
-    int offset_in = compiler.stack_assign(vector_in);
-    int offset_out = compiler.stack_find_offset(SocketType::VECTOR);
-
-    compile(compiler, offset_in, offset_out);
-
-    return offset_out;
-  }
-
-  return compiler.stack_assign(vector_in);
-}
-
-void TextureMapping::compile_end(SVMCompiler &compiler, ShaderInput *vector_in, int vector_offset)
-{
-  if (!skip()) {
-    compiler.stack_clear_offset(vector_in->type(), vector_offset);
-  }
-}
-
-void TextureMapping::compile(OSLCompiler &compiler)
-{
-  if (!skip()) {
-    compiler.parameter("mapping", compute_transform());
-    compiler.parameter("use_mapping", 1);
-  }
-}
-
-/* Image Texture */
-
-NODE_DEFINE(ImageTextureNode)
-{
-  NodeType *type = NodeType::add("image_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(ImageTextureNode);
-
-  SOCKET_STRING(filename, "Filename", ustring());
-  SOCKET_STRING(colorspace, "Colorspace", u_colorspace_auto);
-
-  static NodeEnum alpha_type_enum;
-  alpha_type_enum.insert("auto", IMAGE_ALPHA_AUTO);
-  alpha_type_enum.insert("unassociated", IMAGE_ALPHA_UNASSOCIATED);
-  alpha_type_enum.insert("associated", IMAGE_ALPHA_ASSOCIATED);
-  alpha_type_enum.insert("channel_packed", IMAGE_ALPHA_CHANNEL_PACKED);
-  alpha_type_enum.insert("ignore", IMAGE_ALPHA_IGNORE);
-  SOCKET_ENUM(alpha_type, "Alpha Type", alpha_type_enum, IMAGE_ALPHA_AUTO);
-
-  static NodeEnum interpolation_enum;
-  interpolation_enum.insert("closest", INTERPOLATION_CLOSEST);
-  interpolation_enum.insert("linear", INTERPOLATION_LINEAR);
-  interpolation_enum.insert("cubic", INTERPOLATION_CUBIC);
-  interpolation_enum.insert("smart", INTERPOLATION_SMART);
-  SOCKET_ENUM(interpolation, "Interpolation", interpolation_enum, INTERPOLATION_LINEAR);
-
-  static NodeEnum extension_enum;
-  extension_enum.insert("periodic", EXTENSION_REPEAT);
-  extension_enum.insert("clamp", EXTENSION_EXTEND);
-  extension_enum.insert("black", EXTENSION_CLIP);
-  SOCKET_ENUM(extension, "Extension", extension_enum, EXTENSION_REPEAT);
-
-  static NodeEnum projection_enum;
-  projection_enum.insert("flat", NODE_IMAGE_PROJ_FLAT);
-  projection_enum.insert("box", NODE_IMAGE_PROJ_BOX);
-  projection_enum.insert("sphere", NODE_IMAGE_PROJ_SPHERE);
-  projection_enum.insert("tube", NODE_IMAGE_PROJ_TUBE);
-  SOCKET_ENUM(projection, "Projection", projection_enum, NODE_IMAGE_PROJ_FLAT);
-
-  SOCKET_FLOAT(projection_blend, "Projection Blend", 0.0f);
-
-  SOCKET_INT_ARRAY(tiles, "Tiles", array<int>());
-  SOCKET_BOOLEAN(animated, "Animated", false);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_UV);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(alpha, "Alpha");
-
-  return type;
-}
-
-ImageTextureNode::ImageTextureNode() : ImageSlotTextureNode(get_node_type())
-{
-  colorspace = u_colorspace_raw;
-  animated = false;
-  tiles.push_back_slow(1001);
-}
-
-ShaderNode *ImageTextureNode::clone(ShaderGraph *graph) const
-{
-  ImageTextureNode *node = graph->create_node<ImageTextureNode>(*this);
-  node->handle = handle;
-  return node;
-}
-
-ImageParams ImageTextureNode::image_params() const
-{
-  ImageParams params;
-  params.animated = animated;
-  params.interpolation = interpolation;
-  params.extension = extension;
-  params.alpha_type = alpha_type;
-  params.colorspace = colorspace;
-  return params;
-}
-
-void ImageTextureNode::cull_tiles(Scene *scene, ShaderGraph *graph)
-{
-  /* Box projection computes its own UVs that always lie in the
-   * 1001 tile, so there's no point in loading any others. */
-  if (projection == NODE_IMAGE_PROJ_BOX) {
-    tiles.clear();
-    tiles.push_back_slow(1001);
-    return;
-  }
-
-  if (!scene->params.background) {
-    /* During interactive renders, all tiles are loaded.
-     * While we could support updating this when UVs change, that could lead
-     * to annoying interruptions when loading images while editing UVs. */
-    return;
-  }
-
-  /* Only check UVs for tile culling if there are multiple tiles. */
-  if (tiles.size() < 2) {
-    return;
-  }
-
-  ShaderInput *vector_in = input("Vector");
-  ustring attribute;
-  if (vector_in->link) {
-    ShaderNode *node = vector_in->link->parent;
-    if (node->type == UVMapNode::get_node_type()) {
-      UVMapNode *uvmap = (UVMapNode *)node;
-      attribute = uvmap->get_attribute();
-    }
-    else if (node->type == TextureCoordinateNode::get_node_type()) {
-      if (vector_in->link != node->output("UV")) {
-        return;
-      }
-    }
-    else {
-      return;
-    }
-  }
-
-  unordered_set<int> used_tiles;
-  /* TODO(lukas): This is quite inefficient. A fairly simple improvement would
-   * be to have a cache in each mesh that is indexed by attribute.
-   * Additionally, building a graph-to-meshes list once could help. */
-  foreach (Geometry *geom, scene->geometry) {
-    foreach (Node *node, geom->get_used_shaders()) {
-      Shader *shader = static_cast<Shader *>(node);
-      if (shader->graph == graph) {
-        geom->get_uv_tiles(attribute, used_tiles);
-      }
-    }
-  }
-
-  array<int> new_tiles;
-  foreach (int tile, tiles) {
-    if (used_tiles.count(tile)) {
-      new_tiles.push_back_slow(tile);
-    }
-  }
-  tiles.steal_data(new_tiles);
-}
-
-void ImageTextureNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-#ifdef WITH_PTEX
-  /* todo: avoid loading other texture coordinates when using ptex,
-   * and hide texture coordinate socket in the UI */
-  if (shader->has_surface_link() && string_endswith(filename, ".ptx")) {
-    /* ptex */
-    attributes->add(ATTR_STD_PTEX_FACE_ID);
-    attributes->add(ATTR_STD_PTEX_UV);
-  }
-#endif
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void ImageTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *alpha_out = output("Alpha");
-
-  if (handle.empty()) {
-    cull_tiles(compiler.scene, compiler.current_graph);
-    ImageManager *image_manager = compiler.scene->image_manager;
-    handle = image_manager->add_image(filename.string(), image_params(), tiles);
-  }
-
-  /* All tiles have the same metadata. */
-  const ImageMetaData metadata = handle.metadata();
-  const bool compress_as_srgb = metadata.compress_as_srgb;
-  const ustring known_colorspace = metadata.colorspace;
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-  uint flags = 0;
-
-  if (compress_as_srgb) {
-    flags |= NODE_IMAGE_COMPRESS_AS_SRGB;
-  }
-  if (!alpha_out->links.empty()) {
-    const bool unassociate_alpha = !(ColorSpaceManager::colorspace_is_data(colorspace) ||
-                                     alpha_type == IMAGE_ALPHA_CHANNEL_PACKED ||
-                                     alpha_type == IMAGE_ALPHA_IGNORE);
-
-    if (unassociate_alpha) {
-      flags |= NODE_IMAGE_ALPHA_UNASSOCIATE;
-    }
-  }
-
-  if (projection != NODE_IMAGE_PROJ_BOX) {
-    /* If there only is one image (a very common case), we encode it as a negative value. */
-    int num_nodes;
-    if (handle.num_tiles() == 1) {
-      num_nodes = -handle.svm_slot();
-    }
-    else {
-      num_nodes = divide_up(handle.num_tiles(), 2);
-    }
-
-    compiler.add_node(NODE_TEX_IMAGE,
-                      num_nodes,
-                      compiler.encode_uchar4(vector_offset,
-                                             compiler.stack_assign_if_linked(color_out),
-                                             compiler.stack_assign_if_linked(alpha_out),
-                                             flags),
-                      projection);
-
-    if (num_nodes > 0) {
-      for (int i = 0; i < num_nodes; i++) {
-        int4 node;
-        node.x = tiles[2 * i];
-        node.y = handle.svm_slot(2 * i);
-        if (2 * i + 1 < tiles.size()) {
-          node.z = tiles[2 * i + 1];
-          node.w = handle.svm_slot(2 * i + 1);
-        }
-        else {
-          node.z = -1;
-          node.w = -1;
-        }
-        compiler.add_node(node.x, node.y, node.z, node.w);
-      }
-    }
-  }
-  else {
-    assert(handle.num_tiles() == 1);
-    compiler.add_node(NODE_TEX_IMAGE_BOX,
-                      handle.svm_slot(),
-                      compiler.encode_uchar4(vector_offset,
-                                             compiler.stack_assign_if_linked(color_out),
-                                             compiler.stack_assign_if_linked(alpha_out),
-                                             flags),
-                      __float_as_int(projection_blend));
-  }
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void ImageTextureNode::compile(OSLCompiler &compiler)
-{
-  ShaderOutput *alpha_out = output("Alpha");
-
-  tex_mapping.compile(compiler);
-
-  if (handle.empty()) {
-    ImageManager *image_manager = compiler.scene->image_manager;
-    handle = image_manager->add_image(filename.string(), image_params());
-  }
-
-  const ImageMetaData metadata = handle.metadata();
-  const bool is_float = metadata.is_float();
-  const bool compress_as_srgb = metadata.compress_as_srgb;
-  const ustring known_colorspace = metadata.colorspace;
-
-  if (handle.svm_slot() == -1) {
-    compiler.parameter_texture(
-        "filename", filename, compress_as_srgb ? u_colorspace_raw : known_colorspace);
-  }
-  else {
-    compiler.parameter_texture("filename", handle.svm_slot());
-  }
-
-  const bool unassociate_alpha = !(ColorSpaceManager::colorspace_is_data(colorspace) ||
-                                   alpha_type == IMAGE_ALPHA_CHANNEL_PACKED ||
-                                   alpha_type == IMAGE_ALPHA_IGNORE);
-  const bool is_tiled = (filename.find("<UDIM>") != string::npos);
-
-  compiler.parameter(this, "projection");
-  compiler.parameter(this, "projection_blend");
-  compiler.parameter("compress_as_srgb", compress_as_srgb);
-  compiler.parameter("ignore_alpha", alpha_type == IMAGE_ALPHA_IGNORE);
-  compiler.parameter("unassociate_alpha", !alpha_out->links.empty() && unassociate_alpha);
-  compiler.parameter("is_float", is_float);
-  compiler.parameter("is_tiled", is_tiled);
-  compiler.parameter(this, "interpolation");
-  compiler.parameter(this, "extension");
-
-  compiler.add(this, "node_image_texture");
-}
-
-/* Environment Texture */
-
-NODE_DEFINE(EnvironmentTextureNode)
-{
-  NodeType *type = NodeType::add("environment_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(EnvironmentTextureNode);
-
-  SOCKET_STRING(filename, "Filename", ustring());
-  SOCKET_STRING(colorspace, "Colorspace", u_colorspace_auto);
-
-  static NodeEnum alpha_type_enum;
-  alpha_type_enum.insert("auto", IMAGE_ALPHA_AUTO);
-  alpha_type_enum.insert("unassociated", IMAGE_ALPHA_UNASSOCIATED);
-  alpha_type_enum.insert("associated", IMAGE_ALPHA_ASSOCIATED);
-  alpha_type_enum.insert("channel_packed", IMAGE_ALPHA_CHANNEL_PACKED);
-  alpha_type_enum.insert("ignore", IMAGE_ALPHA_IGNORE);
-  SOCKET_ENUM(alpha_type, "Alpha Type", alpha_type_enum, IMAGE_ALPHA_AUTO);
-
-  static NodeEnum interpolation_enum;
-  interpolation_enum.insert("closest", INTERPOLATION_CLOSEST);
-  interpolation_enum.insert("linear", INTERPOLATION_LINEAR);
-  interpolation_enum.insert("cubic", INTERPOLATION_CUBIC);
-  interpolation_enum.insert("smart", INTERPOLATION_SMART);
-  SOCKET_ENUM(interpolation, "Interpolation", interpolation_enum, INTERPOLATION_LINEAR);
-
-  static NodeEnum projection_enum;
-  projection_enum.insert("equirectangular", NODE_ENVIRONMENT_EQUIRECTANGULAR);
-  projection_enum.insert("mirror_ball", NODE_ENVIRONMENT_MIRROR_BALL);
-  SOCKET_ENUM(projection, "Projection", projection_enum, NODE_ENVIRONMENT_EQUIRECTANGULAR);
-
-  SOCKET_BOOLEAN(animated, "Animated", false);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_POSITION);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(alpha, "Alpha");
-
-  return type;
-}
-
-EnvironmentTextureNode::EnvironmentTextureNode() : ImageSlotTextureNode(get_node_type())
-{
-  colorspace = u_colorspace_raw;
-  animated = false;
-}
-
-ShaderNode *EnvironmentTextureNode::clone(ShaderGraph *graph) const
-{
-  EnvironmentTextureNode *node = graph->create_node<EnvironmentTextureNode>(*this);
-  node->handle = handle;
-  return node;
-}
-
-ImageParams EnvironmentTextureNode::image_params() const
-{
-  ImageParams params;
-  params.animated = animated;
-  params.interpolation = interpolation;
-  params.extension = EXTENSION_REPEAT;
-  params.alpha_type = alpha_type;
-  params.colorspace = colorspace;
-  return params;
-}
-
-void EnvironmentTextureNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-#ifdef WITH_PTEX
-  if (shader->has_surface_link() && string_endswith(filename, ".ptx")) {
-    /* ptex */
-    attributes->add(ATTR_STD_PTEX_FACE_ID);
-    attributes->add(ATTR_STD_PTEX_UV);
-  }
-#endif
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void EnvironmentTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *alpha_out = output("Alpha");
-
-  if (handle.empty()) {
-    ImageManager *image_manager = compiler.scene->image_manager;
-    handle = image_manager->add_image(filename.string(), image_params());
-  }
-
-  const ImageMetaData metadata = handle.metadata();
-  const bool compress_as_srgb = metadata.compress_as_srgb;
-  const ustring known_colorspace = metadata.colorspace;
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-  uint flags = 0;
-
-  if (compress_as_srgb) {
-    flags |= NODE_IMAGE_COMPRESS_AS_SRGB;
-  }
-
-  compiler.add_node(NODE_TEX_ENVIRONMENT,
-                    handle.svm_slot(),
-                    compiler.encode_uchar4(vector_offset,
-                                           compiler.stack_assign_if_linked(color_out),
-                                           compiler.stack_assign_if_linked(alpha_out),
-                                           flags),
-                    projection);
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void EnvironmentTextureNode::compile(OSLCompiler &compiler)
-{
-  if (handle.empty()) {
-    ImageManager *image_manager = compiler.scene->image_manager;
-    handle = image_manager->add_image(filename.string(), image_params());
-  }
-
-  tex_mapping.compile(compiler);
-
-  const ImageMetaData metadata = handle.metadata();
-  const bool is_float = metadata.is_float();
-  const bool compress_as_srgb = metadata.compress_as_srgb;
-  const ustring known_colorspace = metadata.colorspace;
-
-  if (handle.svm_slot() == -1) {
-    compiler.parameter_texture(
-        "filename", filename, compress_as_srgb ? u_colorspace_raw : known_colorspace);
-  }
-  else {
-    compiler.parameter_texture("filename", handle.svm_slot());
-  }
-
-  compiler.parameter(this, "projection");
-  compiler.parameter(this, "interpolation");
-  compiler.parameter("compress_as_srgb", compress_as_srgb);
-  compiler.parameter("ignore_alpha", alpha_type == IMAGE_ALPHA_IGNORE);
-  compiler.parameter("is_float", is_float);
-  compiler.add(this, "node_environment_texture");
-}
-
-/* Sky Texture */
-
-static float2 sky_spherical_coordinates(float3 dir)
-{
-  return make_float2(acosf(dir.z), atan2f(dir.x, dir.y));
-}
-
-typedef struct SunSky {
-  /* sun direction in spherical and cartesian */
-  float theta, phi;
-
-  /* Parameter */
-  float radiance_x, radiance_y, radiance_z;
-  float config_x[9], config_y[9], config_z[9], nishita_data[10];
-} SunSky;
-
-/* Preetham model */
-static float sky_perez_function(float lam[6], float theta, float gamma)
-{
-  return (1.0f + lam[0] * expf(lam[1] / cosf(theta))) *
-         (1.0f + lam[2] * expf(lam[3] * gamma) + lam[4] * cosf(gamma) * cosf(gamma));
-}
-
-static void sky_texture_precompute_preetham(SunSky *sunsky, float3 dir, float turbidity)
-{
-  /*
-   * We re-use the SunSky struct of the new model, to avoid extra variables
-   * zenith_Y/x/y is now radiance_x/y/z
-   * perez_Y/x/y is now config_x/y/z
-   */
-
-  float2 spherical = sky_spherical_coordinates(dir);
-  float theta = spherical.x;
-  float phi = spherical.y;
-
-  sunsky->theta = theta;
-  sunsky->phi = phi;
-
-  float theta2 = theta * theta;
-  float theta3 = theta2 * theta;
-  float T = turbidity;
-  float T2 = T * T;
-
-  float chi = (4.0f / 9.0f - T / 120.0f) * (M_PI_F - 2.0f * theta);
-  sunsky->radiance_x = (4.0453f * T - 4.9710f) * tanf(chi) - 0.2155f * T + 2.4192f;
-  sunsky->radiance_x *= 0.06f;
-
-  sunsky->radiance_y = (0.00166f * theta3 - 0.00375f * theta2 + 0.00209f * theta) * T2 +
-                       (-0.02903f * theta3 + 0.06377f * theta2 - 0.03202f * theta + 0.00394f) * T +
-                       (0.11693f * theta3 - 0.21196f * theta2 + 0.06052f * theta + 0.25886f);
-
-  sunsky->radiance_z = (0.00275f * theta3 - 0.00610f * theta2 + 0.00317f * theta) * T2 +
-                       (-0.04214f * theta3 + 0.08970f * theta2 - 0.04153f * theta + 0.00516f) * T +
-                       (0.15346f * theta3 - 0.26756f * theta2 + 0.06670f * theta + 0.26688f);
-
-  sunsky->config_x[0] = (0.1787f * T - 1.4630f);
-  sunsky->config_x[1] = (-0.3554f * T + 0.4275f);
-  sunsky->config_x[2] = (-0.0227f * T + 5.3251f);
-  sunsky->config_x[3] = (0.1206f * T - 2.5771f);
-  sunsky->config_x[4] = (-0.0670f * T + 0.3703f);
-
-  sunsky->config_y[0] = (-0.0193f * T - 0.2592f);
-  sunsky->config_y[1] = (-0.0665f * T + 0.0008f);
-  sunsky->config_y[2] = (-0.0004f * T + 0.2125f);
-  sunsky->config_y[3] = (-0.0641f * T - 0.8989f);
-  sunsky->config_y[4] = (-0.0033f * T + 0.0452f);
-
-  sunsky->config_z[0] = (-0.0167f * T - 0.2608f);
-  sunsky->config_z[1] = (-0.0950f * T + 0.0092f);
-  sunsky->config_z[2] = (-0.0079f * T + 0.2102f);
-  sunsky->config_z[3] = (-0.0441f * T - 1.6537f);
-  sunsky->config_z[4] = (-0.0109f * T + 0.0529f);
-
-  /* unused for old sky model */
-  for (int i = 5; i < 9; i++) {
-    sunsky->config_x[i] = 0.0f;
-    sunsky->config_y[i] = 0.0f;
-    sunsky->config_z[i] = 0.0f;
-  }
-
-  sunsky->radiance_x /= sky_perez_function(sunsky->config_x, 0, theta);
-  sunsky->radiance_y /= sky_perez_function(sunsky->config_y, 0, theta);
-  sunsky->radiance_z /= sky_perez_function(sunsky->config_z, 0, theta);
-}
-
-/* Hosek / Wilkie */
-static void sky_texture_precompute_hosek(SunSky *sunsky,
-                                         float3 dir,
-                                         float turbidity,
-                                         float ground_albedo)
-{
-  /* Calculate Sun Direction and save coordinates */
-  float2 spherical = sky_spherical_coordinates(dir);
-  float theta = spherical.x;
-  float phi = spherical.y;
-
-  /* Clamp Turbidity */
-  turbidity = clamp(turbidity, 0.0f, 10.0f);
-
-  /* Clamp to Horizon */
-  theta = clamp(theta, 0.0f, M_PI_2_F);
-
-  sunsky->theta = theta;
-  sunsky->phi = phi;
-
-  float solarElevation = M_PI_2_F - theta;
-
-  /* Initialize Sky Model */
-  SKY_ArHosekSkyModelState *sky_state;
-  sky_state = SKY_arhosek_xyz_skymodelstate_alloc_init(
-      (double)turbidity, (double)ground_albedo, (double)solarElevation);
-
-  /* Copy values from sky_state to SunSky */
-  for (int i = 0; i < 9; ++i) {
-    sunsky->config_x[i] = (float)sky_state->configs[0][i];
-    sunsky->config_y[i] = (float)sky_state->configs[1][i];
-    sunsky->config_z[i] = (float)sky_state->configs[2][i];
-  }
-  sunsky->radiance_x = (float)sky_state->radiances[0];
-  sunsky->radiance_y = (float)sky_state->radiances[1];
-  sunsky->radiance_z = (float)sky_state->radiances[2];
-
-  /* Free sky_state */
-  SKY_arhosekskymodelstate_free(sky_state);
-}
-
-/* Nishita improved */
-static void sky_texture_precompute_nishita(SunSky *sunsky,
-                                           bool sun_disc,
-                                           float sun_size,
-                                           float sun_intensity,
-                                           float sun_elevation,
-                                           float sun_rotation,
-                                           float altitude,
-                                           float air_density,
-                                           float dust_density)
-{
-  /* sample 2 sun pixels */
-  float pixel_bottom[3];
-  float pixel_top[3];
-  SKY_nishita_skymodel_precompute_sun(
-      sun_elevation, sun_size, altitude, air_density, dust_density, pixel_bottom, pixel_top);
-  /* limit sun rotation between 0 and 360 degrees */
-  sun_rotation = fmodf(sun_rotation, M_2PI_F);
-  if (sun_rotation < 0.0f) {
-    sun_rotation += M_2PI_F;
-  }
-  sun_rotation = M_2PI_F - sun_rotation;
-  /* send data to svm_sky */
-  sunsky->nishita_data[0] = pixel_bottom[0];
-  sunsky->nishita_data[1] = pixel_bottom[1];
-  sunsky->nishita_data[2] = pixel_bottom[2];
-  sunsky->nishita_data[3] = pixel_top[0];
-  sunsky->nishita_data[4] = pixel_top[1];
-  sunsky->nishita_data[5] = pixel_top[2];
-  sunsky->nishita_data[6] = sun_elevation;
-  sunsky->nishita_data[7] = sun_rotation;
-  sunsky->nishita_data[8] = sun_disc ? sun_size : -1.0f;
-  sunsky->nishita_data[9] = sun_intensity;
-}
-
-NODE_DEFINE(SkyTextureNode)
-{
-  NodeType *type = NodeType::add("sky_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(SkyTextureNode);
-
-  static NodeEnum type_enum;
-  type_enum.insert("preetham", NODE_SKY_PREETHAM);
-  type_enum.insert("hosek_wilkie", NODE_SKY_HOSEK);
-  type_enum.insert("nishita_improved", NODE_SKY_NISHITA);
-  SOCKET_ENUM(sky_type, "Type", type_enum, NODE_SKY_NISHITA);
-
-  SOCKET_VECTOR(sun_direction, "Sun Direction", make_float3(0.0f, 0.0f, 1.0f));
-  SOCKET_FLOAT(turbidity, "Turbidity", 2.2f);
-  SOCKET_FLOAT(ground_albedo, "Ground Albedo", 0.3f);
-  SOCKET_BOOLEAN(sun_disc, "Sun Disc", true);
-  SOCKET_FLOAT(sun_size, "Sun Size", 0.009512f);
-  SOCKET_FLOAT(sun_intensity, "Sun Intensity", 1.0f);
-  SOCKET_FLOAT(sun_elevation, "Sun Elevation", 15.0f * M_PI_F / 180.0f);
-  SOCKET_FLOAT(sun_rotation, "Sun Rotation", 0.0f);
-  SOCKET_FLOAT(altitude, "Altitude", 1.0f);
-  SOCKET_FLOAT(air_density, "Air", 1.0f);
-  SOCKET_FLOAT(dust_density, "Dust", 1.0f);
-  SOCKET_FLOAT(ozone_density, "Ozone", 1.0f);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-SkyTextureNode::SkyTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void SkyTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *color_out = output("Color");
-
-  SunSky sunsky;
-  if (sky_type == NODE_SKY_PREETHAM)
-    sky_texture_precompute_preetham(&sunsky, sun_direction, turbidity);
-  else if (sky_type == NODE_SKY_HOSEK)
-    sky_texture_precompute_hosek(&sunsky, sun_direction, turbidity, ground_albedo);
-  else if (sky_type == NODE_SKY_NISHITA) {
-    /* Clamp altitude to reasonable values.
-     * Below 1m causes numerical issues and above 60km is space. */
-    float clamped_altitude = clamp(altitude, 1.0f, 59999.0f);
-
-    sky_texture_precompute_nishita(&sunsky,
-                                   sun_disc,
-                                   get_sun_size(),
-                                   sun_intensity,
-                                   sun_elevation,
-                                   sun_rotation,
-                                   clamped_altitude,
-                                   air_density,
-                                   dust_density);
-    /* precomputed texture image parameters */
-    ImageManager *image_manager = compiler.scene->image_manager;
-    ImageParams impar;
-    impar.interpolation = INTERPOLATION_LINEAR;
-    impar.extension = EXTENSION_EXTEND;
-
-    /* precompute sky texture */
-    if (handle.empty()) {
-      SkyLoader *loader = new SkyLoader(
-          sun_elevation, clamped_altitude, air_density, dust_density, ozone_density);
-      handle = image_manager->add_image(loader, impar);
-    }
-  }
-  else
-    assert(false);
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-
-  compiler.stack_assign(color_out);
-  compiler.add_node(NODE_TEX_SKY, vector_offset, compiler.stack_assign(color_out), sky_type);
-  /* nishita doesn't need this data */
-  if (sky_type != NODE_SKY_NISHITA) {
-    compiler.add_node(__float_as_uint(sunsky.phi),
-                      __float_as_uint(sunsky.theta),
-                      __float_as_uint(sunsky.radiance_x),
-                      __float_as_uint(sunsky.radiance_y));
-    compiler.add_node(__float_as_uint(sunsky.radiance_z),
-                      __float_as_uint(sunsky.config_x[0]),
-                      __float_as_uint(sunsky.config_x[1]),
-                      __float_as_uint(sunsky.config_x[2]));
-    compiler.add_node(__float_as_uint(sunsky.config_x[3]),
-                      __float_as_uint(sunsky.config_x[4]),
-                      __float_as_uint(sunsky.config_x[5]),
-                      __float_as_uint(sunsky.config_x[6]));
-    compiler.add_node(__float_as_uint(sunsky.config_x[7]),
-                      __float_as_uint(sunsky.config_x[8]),
-                      __float_as_uint(sunsky.config_y[0]),
-                      __float_as_uint(sunsky.config_y[1]));
-    compiler.add_node(__float_as_uint(sunsky.config_y[2]),
-                      __float_as_uint(sunsky.config_y[3]),
-                      __float_as_uint(sunsky.config_y[4]),
-                      __float_as_uint(sunsky.config_y[5]));
-    compiler.add_node(__float_as_uint(sunsky.config_y[6]),
-                      __float_as_uint(sunsky.config_y[7]),
-                      __float_as_uint(sunsky.config_y[8]),
-                      __float_as_uint(sunsky.config_z[0]));
-    compiler.add_node(__float_as_uint(sunsky.config_z[1]),
-                      __float_as_uint(sunsky.config_z[2]),
-                      __float_as_uint(sunsky.config_z[3]),
-                      __float_as_uint(sunsky.config_z[4]));
-    compiler.add_node(__float_as_uint(sunsky.config_z[5]),
-                      __float_as_uint(sunsky.config_z[6]),
-                      __float_as_uint(sunsky.config_z[7]),
-                      __float_as_uint(sunsky.config_z[8]));
-  }
-  else {
-    compiler.add_node(__float_as_uint(sunsky.nishita_data[0]),
-                      __float_as_uint(sunsky.nishita_data[1]),
-                      __float_as_uint(sunsky.nishita_data[2]),
-                      __float_as_uint(sunsky.nishita_data[3]));
-    compiler.add_node(__float_as_uint(sunsky.nishita_data[4]),
-                      __float_as_uint(sunsky.nishita_data[5]),
-                      __float_as_uint(sunsky.nishita_data[6]),
-                      __float_as_uint(sunsky.nishita_data[7]));
-    compiler.add_node(__float_as_uint(sunsky.nishita_data[8]),
-                      __float_as_uint(sunsky.nishita_data[9]),
-                      handle.svm_slot(),
-                      0);
-  }
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void SkyTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  SunSky sunsky;
-  if (sky_type == NODE_SKY_PREETHAM)
-    sky_texture_precompute_preetham(&sunsky, sun_direction, turbidity);
-  else if (sky_type == NODE_SKY_HOSEK)
-    sky_texture_precompute_hosek(&sunsky, sun_direction, turbidity, ground_albedo);
-  else if (sky_type == NODE_SKY_NISHITA) {
-    /* Clamp altitude to reasonable values.
-     * Below 1m causes numerical issues and above 60km is space. */
-    float clamped_altitude = clamp(altitude, 1.0f, 59999.0f);
-
-    sky_texture_precompute_nishita(&sunsky,
-                                   sun_disc,
-                                   get_sun_size(),
-                                   sun_intensity,
-                                   sun_elevation,
-                                   sun_rotation,
-                                   clamped_altitude,
-                                   air_density,
-                                   dust_density);
-    /* precomputed texture image parameters */
-    ImageManager *image_manager = compiler.scene->image_manager;
-    ImageParams impar;
-    impar.interpolation = INTERPOLATION_LINEAR;
-    impar.extension = EXTENSION_EXTEND;
-
-    /* precompute sky texture */
-    if (handle.empty()) {
-      SkyLoader *loader = new SkyLoader(
-          sun_elevation, clamped_altitude, air_density, dust_density, ozone_density);
-      handle = image_manager->add_image(loader, impar);
-    }
-  }
-  else
-    assert(false);
-
-  compiler.parameter(this, "sky_type");
-  compiler.parameter("theta", sunsky.theta);
-  compiler.parameter("phi", sunsky.phi);
-  compiler.parameter_color("radiance",
-                           make_float3(sunsky.radiance_x, sunsky.radiance_y, sunsky.radiance_z));
-  compiler.parameter_array("config_x", sunsky.config_x, 9);
-  compiler.parameter_array("config_y", sunsky.config_y, 9);
-  compiler.parameter_array("config_z", sunsky.config_z, 9);
-  compiler.parameter_array("nishita_data", sunsky.nishita_data, 10);
-  /* nishita texture */
-  if (sky_type == NODE_SKY_NISHITA) {
-    compiler.parameter_texture("filename", handle.svm_slot());
-  }
-  compiler.add(this, "node_sky_texture");
-}
-
-/* Gradient Texture */
-
-NODE_DEFINE(GradientTextureNode)
-{
-  NodeType *type = NodeType::add("gradient_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(GradientTextureNode);
-
-  static NodeEnum type_enum;
-  type_enum.insert("linear", NODE_BLEND_LINEAR);
-  type_enum.insert("quadratic", NODE_BLEND_QUADRATIC);
-  type_enum.insert("easing", NODE_BLEND_EASING);
-  type_enum.insert("diagonal", NODE_BLEND_DIAGONAL);
-  type_enum.insert("radial", NODE_BLEND_RADIAL);
-  type_enum.insert("quadratic_sphere", NODE_BLEND_QUADRATIC_SPHERE);
-  type_enum.insert("spherical", NODE_BLEND_SPHERICAL);
-  SOCKET_ENUM(gradient_type, "Type", type_enum, NODE_BLEND_LINEAR);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-GradientTextureNode::GradientTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void GradientTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *fac_out = output("Fac");
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-
-  compiler.add_node(NODE_TEX_GRADIENT,
-                    compiler.encode_uchar4(gradient_type,
-                                           vector_offset,
-                                           compiler.stack_assign_if_linked(fac_out),
-                                           compiler.stack_assign_if_linked(color_out)));
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void GradientTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  compiler.parameter(this, "gradient_type");
-  compiler.add(this, "node_gradient_texture");
-}
-
-/* Noise Texture */
-
-NODE_DEFINE(NoiseTextureNode)
-{
-  NodeType *type = NodeType::add("noise_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(NoiseTextureNode);
-
-  static NodeEnum dimensions_enum;
-  dimensions_enum.insert("1D", 1);
-  dimensions_enum.insert("2D", 2);
-  dimensions_enum.insert("3D", 3);
-  dimensions_enum.insert("4D", 4);
-  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-  SOCKET_IN_FLOAT(w, "W", 0.0f);
-  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
-  SOCKET_IN_FLOAT(detail, "Detail", 2.0f);
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
-  SOCKET_IN_FLOAT(distortion, "Distortion", 0.0f);
-
-  SOCKET_OUT_FLOAT(fac, "Fac");
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-NoiseTextureNode::NoiseTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void NoiseTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *w_in = input("W");
-  ShaderInput *scale_in = input("Scale");
-  ShaderInput *detail_in = input("Detail");
-  ShaderInput *roughness_in = input("Roughness");
-  ShaderInput *distortion_in = input("Distortion");
-  ShaderOutput *fac_out = output("Fac");
-  ShaderOutput *color_out = output("Color");
-
-  int vector_stack_offset = tex_mapping.compile_begin(compiler, vector_in);
-  int w_stack_offset = compiler.stack_assign_if_linked(w_in);
-  int scale_stack_offset = compiler.stack_assign_if_linked(scale_in);
-  int detail_stack_offset = compiler.stack_assign_if_linked(detail_in);
-  int roughness_stack_offset = compiler.stack_assign_if_linked(roughness_in);
-  int distortion_stack_offset = compiler.stack_assign_if_linked(distortion_in);
-  int fac_stack_offset = compiler.stack_assign_if_linked(fac_out);
-  int color_stack_offset = compiler.stack_assign_if_linked(color_out);
-
-  compiler.add_node(
-      NODE_TEX_NOISE,
-      dimensions,
-      compiler.encode_uchar4(
-          vector_stack_offset, w_stack_offset, scale_stack_offset, detail_stack_offset),
-      compiler.encode_uchar4(
-          roughness_stack_offset, distortion_stack_offset, fac_stack_offset, color_stack_offset));
-  compiler.add_node(
-      __float_as_int(w), __float_as_int(scale), __float_as_int(detail), __float_as_int(roughness));
-
-  compiler.add_node(
-      __float_as_int(distortion), SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID);
-
-  tex_mapping.compile_end(compiler, vector_in, vector_stack_offset);
-}
-
-void NoiseTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-  compiler.parameter(this, "dimensions");
-  compiler.add(this, "node_noise_texture");
-}
-
-/* Voronoi Texture */
-
-NODE_DEFINE(VoronoiTextureNode)
-{
-  NodeType *type = NodeType::add("voronoi_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(VoronoiTextureNode);
-
-  static NodeEnum dimensions_enum;
-  dimensions_enum.insert("1D", 1);
-  dimensions_enum.insert("2D", 2);
-  dimensions_enum.insert("3D", 3);
-  dimensions_enum.insert("4D", 4);
-  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
-
-  static NodeEnum metric_enum;
-  metric_enum.insert("euclidean", NODE_VORONOI_EUCLIDEAN);
-  metric_enum.insert("manhattan", NODE_VORONOI_MANHATTAN);
-  metric_enum.insert("chebychev", NODE_VORONOI_CHEBYCHEV);
-  metric_enum.insert("minkowski", NODE_VORONOI_MINKOWSKI);
-  SOCKET_ENUM(metric, "Distance Metric", metric_enum, NODE_VORONOI_EUCLIDEAN);
-
-  static NodeEnum feature_enum;
-  feature_enum.insert("f1", NODE_VORONOI_F1);
-  feature_enum.insert("f2", NODE_VORONOI_F2);
-  feature_enum.insert("smooth_f1", NODE_VORONOI_SMOOTH_F1);
-  feature_enum.insert("distance_to_edge", NODE_VORONOI_DISTANCE_TO_EDGE);
-  feature_enum.insert("n_sphere_radius", NODE_VORONOI_N_SPHERE_RADIUS);
-  SOCKET_ENUM(feature, "Feature", feature_enum, NODE_VORONOI_F1);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-  SOCKET_IN_FLOAT(w, "W", 0.0f);
-  SOCKET_IN_FLOAT(scale, "Scale", 5.0f);
-  SOCKET_IN_FLOAT(smoothness, "Smoothness", 5.0f);
-  SOCKET_IN_FLOAT(exponent, "Exponent", 0.5f);
-  SOCKET_IN_FLOAT(randomness, "Randomness", 1.0f);
-
-  SOCKET_OUT_FLOAT(distance, "Distance");
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_POINT(position, "Position");
-  SOCKET_OUT_FLOAT(w, "W");
-  SOCKET_OUT_FLOAT(radius, "Radius");
-
-  return type;
-}
-
-VoronoiTextureNode::VoronoiTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void VoronoiTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *w_in = input("W");
-  ShaderInput *scale_in = input("Scale");
-  ShaderInput *smoothness_in = input("Smoothness");
-  ShaderInput *exponent_in = input("Exponent");
-  ShaderInput *randomness_in = input("Randomness");
-
-  ShaderOutput *distance_out = output("Distance");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *position_out = output("Position");
-  ShaderOutput *w_out = output("W");
-  ShaderOutput *radius_out = output("Radius");
-
-  int vector_stack_offset = tex_mapping.compile_begin(compiler, vector_in);
-  int w_in_stack_offset = compiler.stack_assign_if_linked(w_in);
-  int scale_stack_offset = compiler.stack_assign_if_linked(scale_in);
-  int smoothness_stack_offset = compiler.stack_assign_if_linked(smoothness_in);
-  int exponent_stack_offset = compiler.stack_assign_if_linked(exponent_in);
-  int randomness_stack_offset = compiler.stack_assign_if_linked(randomness_in);
-  int distance_stack_offset = compiler.stack_assign_if_linked(distance_out);
-  int color_stack_offset = compiler.stack_assign_if_linked(color_out);
-  int position_stack_offset = compiler.stack_assign_if_linked(position_out);
-  int w_out_stack_offset = compiler.stack_assign_if_linked(w_out);
-  int radius_stack_offset = compiler.stack_assign_if_linked(radius_out);
-
-  compiler.add_node(NODE_TEX_VORONOI, dimensions, feature, metric);
-  compiler.add_node(
-      compiler.encode_uchar4(
-          vector_stack_offset, w_in_stack_offset, scale_stack_offset, smoothness_stack_offset),
-      compiler.encode_uchar4(exponent_stack_offset,
-                             randomness_stack_offset,
-                             distance_stack_offset,
-                             color_stack_offset),
-      compiler.encode_uchar4(position_stack_offset, w_out_stack_offset, radius_stack_offset),
-      __float_as_int(w));
-
-  compiler.add_node(__float_as_int(scale),
-                    __float_as_int(smoothness),
-                    __float_as_int(exponent),
-                    __float_as_int(randomness));
-
-  tex_mapping.compile_end(compiler, vector_in, vector_stack_offset);
-}
-
-void VoronoiTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  compiler.parameter(this, "dimensions");
-  compiler.parameter(this, "feature");
-  compiler.parameter(this, "metric");
-  compiler.add(this, "node_voronoi_texture");
-}
-
-/* IES Light */
-
-NODE_DEFINE(IESLightNode)
-{
-  NodeType *type = NodeType::add("ies_light", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(IESLightNode);
-
-  SOCKET_STRING(ies, "IES", ustring());
-  SOCKET_STRING(filename, "File Name", ustring());
-
-  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_NORMAL);
-
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-IESLightNode::IESLightNode() : TextureNode(get_node_type())
-{
-  light_manager = NULL;
-  slot = -1;
-}
-
-ShaderNode *IESLightNode::clone(ShaderGraph *graph) const
-{
-  IESLightNode *node = graph->create_node<IESLightNode>(*this);
-
-  node->light_manager = NULL;
-  node->slot = -1;
-
-  return node;
-}
-
-IESLightNode::~IESLightNode()
-{
-  if (light_manager) {
-    light_manager->remove_ies(slot);
-  }
-}
-
-void IESLightNode::get_slot()
-{
-  assert(light_manager);
-
-  if (slot == -1) {
-    if (ies.empty()) {
-      slot = light_manager->add_ies_from_file(filename.string());
-    }
-    else {
-      slot = light_manager->add_ies(ies.string());
-    }
-  }
-}
-
-void IESLightNode::compile(SVMCompiler &compiler)
-{
-  light_manager = compiler.scene->light_manager;
-  get_slot();
-
-  ShaderInput *strength_in = input("Strength");
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *fac_out = output("Fac");
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-
-  compiler.add_node(NODE_IES,
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(strength_in),
-                                           vector_offset,
-                                           compiler.stack_assign(fac_out),
-                                           0),
-                    slot,
-                    __float_as_int(strength));
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void IESLightNode::compile(OSLCompiler &compiler)
-{
-  light_manager = compiler.scene->light_manager;
-  get_slot();
-
-  tex_mapping.compile(compiler);
-
-  compiler.parameter_texture_ies("filename", slot);
-  compiler.add(this, "node_ies_light");
-}
-
-/* White Noise Texture */
-
-NODE_DEFINE(WhiteNoiseTextureNode)
-{
-  NodeType *type = NodeType::add("white_noise_texture", create, NodeType::SHADER);
-
-  static NodeEnum dimensions_enum;
-  dimensions_enum.insert("1D", 1);
-  dimensions_enum.insert("2D", 2);
-  dimensions_enum.insert("3D", 3);
-  dimensions_enum.insert("4D", 4);
-  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3());
-  SOCKET_IN_FLOAT(w, "W", 0.0f);
-
-  SOCKET_OUT_FLOAT(value, "Value");
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-WhiteNoiseTextureNode::WhiteNoiseTextureNode() : ShaderNode(get_node_type())
-{
-}
-
-void WhiteNoiseTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *w_in = input("W");
-  ShaderOutput *value_out = output("Value");
-  ShaderOutput *color_out = output("Color");
-
-  int vector_stack_offset = compiler.stack_assign(vector_in);
-  int w_stack_offset = compiler.stack_assign(w_in);
-  int value_stack_offset = compiler.stack_assign(value_out);
-  int color_stack_offset = compiler.stack_assign(color_out);
-
-  compiler.add_node(NODE_TEX_WHITE_NOISE,
-                    dimensions,
-                    compiler.encode_uchar4(vector_stack_offset, w_stack_offset),
-                    compiler.encode_uchar4(value_stack_offset, color_stack_offset));
-}
-
-void WhiteNoiseTextureNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "dimensions");
-  compiler.add(this, "node_white_noise_texture");
-}
-
-/* Musgrave Texture */
-
-NODE_DEFINE(MusgraveTextureNode)
-{
-  NodeType *type = NodeType::add("musgrave_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(MusgraveTextureNode);
-
-  static NodeEnum dimensions_enum;
-  dimensions_enum.insert("1D", 1);
-  dimensions_enum.insert("2D", 2);
-  dimensions_enum.insert("3D", 3);
-  dimensions_enum.insert("4D", 4);
-  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
-
-  static NodeEnum type_enum;
-  type_enum.insert("multifractal", NODE_MUSGRAVE_MULTIFRACTAL);
-  type_enum.insert("fBM", NODE_MUSGRAVE_FBM);
-  type_enum.insert("hybrid_multifractal", NODE_MUSGRAVE_HYBRID_MULTIFRACTAL);
-  type_enum.insert("ridged_multifractal", NODE_MUSGRAVE_RIDGED_MULTIFRACTAL);
-  type_enum.insert("hetero_terrain", NODE_MUSGRAVE_HETERO_TERRAIN);
-  SOCKET_ENUM(musgrave_type, "Type", type_enum, NODE_MUSGRAVE_FBM);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-  SOCKET_IN_FLOAT(w, "W", 0.0f);
-  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
-  SOCKET_IN_FLOAT(detail, "Detail", 2.0f);
-  SOCKET_IN_FLOAT(dimension, "Dimension", 2.0f);
-  SOCKET_IN_FLOAT(lacunarity, "Lacunarity", 2.0f);
-  SOCKET_IN_FLOAT(offset, "Offset", 0.0f);
-  SOCKET_IN_FLOAT(gain, "Gain", 1.0f);
-
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-MusgraveTextureNode::MusgraveTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void MusgraveTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *w_in = input("W");
-  ShaderInput *scale_in = input("Scale");
-  ShaderInput *detail_in = input("Detail");
-  ShaderInput *dimension_in = input("Dimension");
-  ShaderInput *lacunarity_in = input("Lacunarity");
-  ShaderInput *offset_in = input("Offset");
-  ShaderInput *gain_in = input("Gain");
-  ShaderOutput *fac_out = output("Fac");
-
-  int vector_stack_offset = tex_mapping.compile_begin(compiler, vector_in);
-  int w_stack_offset = compiler.stack_assign_if_linked(w_in);
-  int scale_stack_offset = compiler.stack_assign_if_linked(scale_in);
-  int detail_stack_offset = compiler.stack_assign_if_linked(detail_in);
-  int dimension_stack_offset = compiler.stack_assign_if_linked(dimension_in);
-  int lacunarity_stack_offset = compiler.stack_assign_if_linked(lacunarity_in);
-  int offset_stack_offset = compiler.stack_assign_if_linked(offset_in);
-  int gain_stack_offset = compiler.stack_assign_if_linked(gain_in);
-  int fac_stack_offset = compiler.stack_assign(fac_out);
-
-  compiler.add_node(
-      NODE_TEX_MUSGRAVE,
-      compiler.encode_uchar4(musgrave_type, dimensions, vector_stack_offset, w_stack_offset),
-      compiler.encode_uchar4(scale_stack_offset,
-                             detail_stack_offset,
-                             dimension_stack_offset,
-                             lacunarity_stack_offset),
-      compiler.encode_uchar4(offset_stack_offset, gain_stack_offset, fac_stack_offset));
-  compiler.add_node(
-      __float_as_int(w), __float_as_int(scale), __float_as_int(detail), __float_as_int(dimension));
-  compiler.add_node(__float_as_int(lacunarity), __float_as_int(offset), __float_as_int(gain));
-
-  tex_mapping.compile_end(compiler, vector_in, vector_stack_offset);
-}
-
-void MusgraveTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  compiler.parameter(this, "musgrave_type");
-  compiler.parameter(this, "dimensions");
-  compiler.add(this, "node_musgrave_texture");
-}
-
-/* Wave Texture */
-
-NODE_DEFINE(WaveTextureNode)
-{
-  NodeType *type = NodeType::add("wave_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(WaveTextureNode);
-
-  static NodeEnum type_enum;
-  type_enum.insert("bands", NODE_WAVE_BANDS);
-  type_enum.insert("rings", NODE_WAVE_RINGS);
-  SOCKET_ENUM(wave_type, "Type", type_enum, NODE_WAVE_BANDS);
-
-  static NodeEnum bands_direction_enum;
-  bands_direction_enum.insert("x", NODE_WAVE_BANDS_DIRECTION_X);
-  bands_direction_enum.insert("y", NODE_WAVE_BANDS_DIRECTION_Y);
-  bands_direction_enum.insert("z", NODE_WAVE_BANDS_DIRECTION_Z);
-  bands_direction_enum.insert("diagonal", NODE_WAVE_BANDS_DIRECTION_DIAGONAL);
-  SOCKET_ENUM(
-      bands_direction, "Bands Direction", bands_direction_enum, NODE_WAVE_BANDS_DIRECTION_X);
-
-  static NodeEnum rings_direction_enum;
-  rings_direction_enum.insert("x", NODE_WAVE_RINGS_DIRECTION_X);
-  rings_direction_enum.insert("y", NODE_WAVE_RINGS_DIRECTION_Y);
-  rings_direction_enum.insert("z", NODE_WAVE_RINGS_DIRECTION_Z);
-  rings_direction_enum.insert("spherical", NODE_WAVE_RINGS_DIRECTION_SPHERICAL);
-  SOCKET_ENUM(
-      rings_direction, "Rings Direction", rings_direction_enum, NODE_WAVE_BANDS_DIRECTION_X);
-
-  static NodeEnum profile_enum;
-  profile_enum.insert("sine", NODE_WAVE_PROFILE_SIN);
-  profile_enum.insert("saw", NODE_WAVE_PROFILE_SAW);
-  profile_enum.insert("tri", NODE_WAVE_PROFILE_TRI);
-  SOCKET_ENUM(profile, "Profile", profile_enum, NODE_WAVE_PROFILE_SIN);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
-  SOCKET_IN_FLOAT(distortion, "Distortion", 0.0f);
-  SOCKET_IN_FLOAT(detail, "Detail", 2.0f);
-  SOCKET_IN_FLOAT(detail_scale, "Detail Scale", 0.0f);
-  SOCKET_IN_FLOAT(detail_roughness, "Detail Roughness", 0.5f);
-  SOCKET_IN_FLOAT(phase, "Phase Offset", 0.0f);
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-WaveTextureNode::WaveTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void WaveTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *scale_in = input("Scale");
-  ShaderInput *distortion_in = input("Distortion");
-  ShaderInput *detail_in = input("Detail");
-  ShaderInput *dscale_in = input("Detail Scale");
-  ShaderInput *droughness_in = input("Detail Roughness");
-  ShaderInput *phase_in = input("Phase Offset");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *fac_out = output("Fac");
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-
-  compiler.add_node(NODE_TEX_WAVE,
-                    compiler.encode_uchar4(wave_type, bands_direction, rings_direction, profile),
-                    compiler.encode_uchar4(vector_offset,
-                                           compiler.stack_assign_if_linked(scale_in),
-                                           compiler.stack_assign_if_linked(distortion_in)),
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(detail_in),
-                                           compiler.stack_assign_if_linked(dscale_in),
-                                           compiler.stack_assign_if_linked(droughness_in),
-                                           compiler.stack_assign_if_linked(phase_in)));
-
-  compiler.add_node(compiler.encode_uchar4(compiler.stack_assign_if_linked(color_out),
-                                           compiler.stack_assign_if_linked(fac_out)),
-                    __float_as_int(scale),
-                    __float_as_int(distortion),
-                    __float_as_int(detail));
-
-  compiler.add_node(__float_as_int(detail_scale),
-                    __float_as_int(detail_roughness),
-                    __float_as_int(phase),
-                    SVM_STACK_INVALID);
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void WaveTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  compiler.parameter(this, "wave_type");
-  compiler.parameter(this, "bands_direction");
-  compiler.parameter(this, "rings_direction");
-  compiler.parameter(this, "profile");
-
-  compiler.add(this, "node_wave_texture");
-}
-
-/* Magic Texture */
-
-NODE_DEFINE(MagicTextureNode)
-{
-  NodeType *type = NodeType::add("magic_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(MagicTextureNode);
-
-  SOCKET_INT(depth, "Depth", 2);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-  SOCKET_IN_FLOAT(scale, "Scale", 5.0f);
-  SOCKET_IN_FLOAT(distortion, "Distortion", 1.0f);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-MagicTextureNode::MagicTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void MagicTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *scale_in = input("Scale");
-  ShaderInput *distortion_in = input("Distortion");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *fac_out = output("Fac");
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-
-  compiler.add_node(NODE_TEX_MAGIC,
-                    compiler.encode_uchar4(depth,
-                                           compiler.stack_assign_if_linked(color_out),
-                                           compiler.stack_assign_if_linked(fac_out)),
-                    compiler.encode_uchar4(vector_offset,
-                                           compiler.stack_assign_if_linked(scale_in),
-                                           compiler.stack_assign_if_linked(distortion_in)));
-  compiler.add_node(__float_as_int(scale), __float_as_int(distortion));
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void MagicTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  compiler.parameter(this, "depth");
-  compiler.add(this, "node_magic_texture");
-}
-
-/* Checker Texture */
-
-NODE_DEFINE(CheckerTextureNode)
-{
-  NodeType *type = NodeType::add("checker_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(CheckerTextureNode);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-  SOCKET_IN_COLOR(color1, "Color1", zero_float3());
-  SOCKET_IN_COLOR(color2, "Color2", zero_float3());
-  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-CheckerTextureNode::CheckerTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void CheckerTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *color1_in = input("Color1");
-  ShaderInput *color2_in = input("Color2");
-  ShaderInput *scale_in = input("Scale");
-
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *fac_out = output("Fac");
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-
-  compiler.add_node(NODE_TEX_CHECKER,
-                    compiler.encode_uchar4(vector_offset,
-                                           compiler.stack_assign(color1_in),
-                                           compiler.stack_assign(color2_in),
-                                           compiler.stack_assign_if_linked(scale_in)),
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(color_out),
-                                           compiler.stack_assign_if_linked(fac_out)),
-                    __float_as_int(scale));
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void CheckerTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  compiler.add(this, "node_checker_texture");
-}
-
-/* Brick Texture */
-
-NODE_DEFINE(BrickTextureNode)
-{
-  NodeType *type = NodeType::add("brick_texture", create, NodeType::SHADER);
-
-  TEXTURE_MAPPING_DEFINE(BrickTextureNode);
-
-  SOCKET_FLOAT(offset, "Offset", 0.5f);
-  SOCKET_INT(offset_frequency, "Offset Frequency", 2);
-  SOCKET_FLOAT(squash, "Squash", 1.0f);
-  SOCKET_INT(squash_frequency, "Squash Frequency", 2);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
-
-  SOCKET_IN_COLOR(color1, "Color1", zero_float3());
-  SOCKET_IN_COLOR(color2, "Color2", zero_float3());
-  SOCKET_IN_COLOR(mortar, "Mortar", zero_float3());
-  SOCKET_IN_FLOAT(scale, "Scale", 5.0f);
-  SOCKET_IN_FLOAT(mortar_size, "Mortar Size", 0.02f);
-  SOCKET_IN_FLOAT(mortar_smooth, "Mortar Smooth", 0.0f);
-  SOCKET_IN_FLOAT(bias, "Bias", 0.0f);
-  SOCKET_IN_FLOAT(brick_width, "Brick Width", 0.5f);
-  SOCKET_IN_FLOAT(row_height, "Row Height", 0.25f);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-BrickTextureNode::BrickTextureNode() : TextureNode(get_node_type())
-{
-}
-
-void BrickTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *color1_in = input("Color1");
-  ShaderInput *color2_in = input("Color2");
-  ShaderInput *mortar_in = input("Mortar");
-  ShaderInput *scale_in = input("Scale");
-  ShaderInput *mortar_size_in = input("Mortar Size");
-  ShaderInput *mortar_smooth_in = input("Mortar Smooth");
-  ShaderInput *bias_in = input("Bias");
-  ShaderInput *brick_width_in = input("Brick Width");
-  ShaderInput *row_height_in = input("Row Height");
-
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *fac_out = output("Fac");
-
-  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
-
-  compiler.add_node(NODE_TEX_BRICK,
-                    compiler.encode_uchar4(vector_offset,
-                                           compiler.stack_assign(color1_in),
-                                           compiler.stack_assign(color2_in),
-                                           compiler.stack_assign(mortar_in)),
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(scale_in),
-                                           compiler.stack_assign_if_linked(mortar_size_in),
-                                           compiler.stack_assign_if_linked(bias_in),
-                                           compiler.stack_assign_if_linked(brick_width_in)),
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(row_height_in),
-                                           compiler.stack_assign_if_linked(color_out),
-                                           compiler.stack_assign_if_linked(fac_out),
-                                           compiler.stack_assign_if_linked(mortar_smooth_in)));
-
-  compiler.add_node(compiler.encode_uchar4(offset_frequency, squash_frequency),
-                    __float_as_int(scale),
-                    __float_as_int(mortar_size),
-                    __float_as_int(bias));
-
-  compiler.add_node(__float_as_int(brick_width),
-                    __float_as_int(row_height),
-                    __float_as_int(offset),
-                    __float_as_int(squash));
-
-  compiler.add_node(
-      __float_as_int(mortar_smooth), SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID);
-
-  tex_mapping.compile_end(compiler, vector_in, vector_offset);
-}
-
-void BrickTextureNode::compile(OSLCompiler &compiler)
-{
-  tex_mapping.compile(compiler);
-
-  compiler.parameter(this, "offset");
-  compiler.parameter(this, "offset_frequency");
-  compiler.parameter(this, "squash");
-  compiler.parameter(this, "squash_frequency");
-  compiler.add(this, "node_brick_texture");
-}
-
-/* Point Density Texture */
-
-NODE_DEFINE(PointDensityTextureNode)
-{
-  NodeType *type = NodeType::add("point_density_texture", create, NodeType::SHADER);
-
-  SOCKET_STRING(filename, "Filename", ustring());
-
-  static NodeEnum space_enum;
-  space_enum.insert("object", NODE_TEX_VOXEL_SPACE_OBJECT);
-  space_enum.insert("world", NODE_TEX_VOXEL_SPACE_WORLD);
-  SOCKET_ENUM(space, "Space", space_enum, NODE_TEX_VOXEL_SPACE_OBJECT);
-
-  static NodeEnum interpolation_enum;
-  interpolation_enum.insert("closest", INTERPOLATION_CLOSEST);
-  interpolation_enum.insert("linear", INTERPOLATION_LINEAR);
-  interpolation_enum.insert("cubic", INTERPOLATION_CUBIC);
-  interpolation_enum.insert("smart", INTERPOLATION_SMART);
-  SOCKET_ENUM(interpolation, "Interpolation", interpolation_enum, INTERPOLATION_LINEAR);
-
-  SOCKET_TRANSFORM(tfm, "Transform", transform_identity());
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_POSITION);
-
-  SOCKET_OUT_FLOAT(density, "Density");
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-PointDensityTextureNode::PointDensityTextureNode() : ShaderNode(get_node_type())
-{
-}
-
-PointDensityTextureNode::~PointDensityTextureNode()
-{
-}
-
-ShaderNode *PointDensityTextureNode::clone(ShaderGraph *graph) const
-{
-  /* Increase image user count for new node. We need to ensure to not call
-   * add_image again, to work around access of freed data on the Blender
-   * side. A better solution should be found to avoid this. */
-  PointDensityTextureNode *node = graph->create_node<PointDensityTextureNode>(*this);
-  node->handle = handle; /* TODO: not needed? */
-  return node;
-}
-
-void PointDensityTextureNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_volume)
-    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-ImageParams PointDensityTextureNode::image_params() const
-{
-  ImageParams params;
-  params.interpolation = interpolation;
-  return params;
-}
-
-void PointDensityTextureNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *density_out = output("Density");
-  ShaderOutput *color_out = output("Color");
-
-  const bool use_density = !density_out->links.empty();
-  const bool use_color = !color_out->links.empty();
-
-  if (use_density || use_color) {
-    if (handle.empty()) {
-      ImageManager *image_manager = compiler.scene->image_manager;
-      handle = image_manager->add_image(filename.string(), image_params());
-    }
-
-    const int slot = handle.svm_slot();
-    if (slot != -1) {
-      compiler.stack_assign(vector_in);
-      compiler.add_node(NODE_TEX_VOXEL,
-                        slot,
-                        compiler.encode_uchar4(compiler.stack_assign(vector_in),
-                                               compiler.stack_assign_if_linked(density_out),
-                                               compiler.stack_assign_if_linked(color_out),
-                                               space));
-      if (space == NODE_TEX_VOXEL_SPACE_WORLD) {
-        compiler.add_node(tfm.x);
-        compiler.add_node(tfm.y);
-        compiler.add_node(tfm.z);
-      }
-    }
-    else {
-      if (use_density) {
-        compiler.add_node(NODE_VALUE_F, __float_as_int(0.0f), compiler.stack_assign(density_out));
-      }
-      if (use_color) {
-        compiler.add_node(NODE_VALUE_V, compiler.stack_assign(color_out));
-        compiler.add_node(
-            NODE_VALUE_V,
-            make_float3(TEX_IMAGE_MISSING_R, TEX_IMAGE_MISSING_G, TEX_IMAGE_MISSING_B));
-      }
-    }
-  }
-}
-
-void PointDensityTextureNode::compile(OSLCompiler &compiler)
-{
-  ShaderOutput *density_out = output("Density");
-  ShaderOutput *color_out = output("Color");
-
-  const bool use_density = !density_out->links.empty();
-  const bool use_color = !color_out->links.empty();
-
-  if (use_density || use_color) {
-    if (handle.empty()) {
-      ImageManager *image_manager = compiler.scene->image_manager;
-      handle = image_manager->add_image(filename.string(), image_params());
-    }
-
-    compiler.parameter_texture("filename", handle.svm_slot());
-    if (space == NODE_TEX_VOXEL_SPACE_WORLD) {
-      compiler.parameter("mapping", tfm);
-      compiler.parameter("use_mapping", 1);
-    }
-    compiler.parameter(this, "interpolation");
-    compiler.add(this, "node_voxel_texture");
-  }
-}
-
-/* Normal */
-
-NODE_DEFINE(NormalNode)
-{
-  NodeType *type = NodeType::add("normal", create, NodeType::SHADER);
-
-  SOCKET_VECTOR(direction, "direction", zero_float3());
-
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3());
-
-  SOCKET_OUT_NORMAL(normal, "Normal");
-  SOCKET_OUT_FLOAT(dot, "Dot");
-
-  return type;
-}
-
-NormalNode::NormalNode() : ShaderNode(get_node_type())
-{
-}
-
-void NormalNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *normal_in = input("Normal");
-  ShaderOutput *normal_out = output("Normal");
-  ShaderOutput *dot_out = output("Dot");
-
-  compiler.add_node(NODE_NORMAL,
-                    compiler.stack_assign(normal_in),
-                    compiler.stack_assign(normal_out),
-                    compiler.stack_assign(dot_out));
-  compiler.add_node(
-      __float_as_int(direction.x), __float_as_int(direction.y), __float_as_int(direction.z));
-}
-
-void NormalNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "direction");
-  compiler.add(this, "node_normal");
-}
-
-/* Mapping */
-
-NODE_DEFINE(MappingNode)
-{
-  NodeType *type = NodeType::add("mapping", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("point", NODE_MAPPING_TYPE_POINT);
-  type_enum.insert("texture", NODE_MAPPING_TYPE_TEXTURE);
-  type_enum.insert("vector", NODE_MAPPING_TYPE_VECTOR);
-  type_enum.insert("normal", NODE_MAPPING_TYPE_NORMAL);
-  SOCKET_ENUM(mapping_type, "Type", type_enum, NODE_MAPPING_TYPE_POINT);
-
-  SOCKET_IN_POINT(vector, "Vector", zero_float3());
-  SOCKET_IN_POINT(location, "Location", zero_float3());
-  SOCKET_IN_POINT(rotation, "Rotation", zero_float3());
-  SOCKET_IN_POINT(scale, "Scale", one_float3());
-
-  SOCKET_OUT_POINT(vector, "Vector");
-
-  return type;
-}
-
-MappingNode::MappingNode() : ShaderNode(get_node_type())
-{
-}
-
-void MappingNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    float3 result = svm_mapping((NodeMappingType)mapping_type, vector, location, rotation, scale);
-    folder.make_constant(result);
-  }
-  else {
-    folder.fold_mapping((NodeMappingType)mapping_type);
-  }
-}
-
-void MappingNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *location_in = input("Location");
-  ShaderInput *rotation_in = input("Rotation");
-  ShaderInput *scale_in = input("Scale");
-  ShaderOutput *vector_out = output("Vector");
-
-  int vector_stack_offset = compiler.stack_assign(vector_in);
-  int location_stack_offset = compiler.stack_assign(location_in);
-  int rotation_stack_offset = compiler.stack_assign(rotation_in);
-  int scale_stack_offset = compiler.stack_assign(scale_in);
-  int result_stack_offset = compiler.stack_assign(vector_out);
-
-  compiler.add_node(
-      NODE_MAPPING,
-      mapping_type,
-      compiler.encode_uchar4(
-          vector_stack_offset, location_stack_offset, rotation_stack_offset, scale_stack_offset),
-      result_stack_offset);
-}
-
-void MappingNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "mapping_type");
-  compiler.add(this, "node_mapping");
-}
-
-/* RGBToBW */
-
-NODE_DEFINE(RGBToBWNode)
-{
-  NodeType *type = NodeType::add("rgb_to_bw", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", zero_float3());
-  SOCKET_OUT_FLOAT(val, "Val");
-
-  return type;
-}
-
-RGBToBWNode::RGBToBWNode() : ShaderNode(get_node_type())
-{
-}
-
-void RGBToBWNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    float val = folder.scene->shader_manager->linear_rgb_to_gray(color);
-    folder.make_constant(val);
-  }
-}
-
-void RGBToBWNode::compile(SVMCompiler &compiler)
-{
-  compiler.add_node(NODE_CONVERT,
-                    NODE_CONVERT_CF,
-                    compiler.stack_assign(inputs[0]),
-                    compiler.stack_assign(outputs[0]));
-}
-
-void RGBToBWNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_rgb_to_bw");
-}
-
-/* Convert */
-
-const NodeType *ConvertNode::node_types[ConvertNode::MAX_TYPE][ConvertNode::MAX_TYPE];
-bool ConvertNode::initialized = ConvertNode::register_types();
-
-Node *ConvertNode::create(const NodeType *type)
-{
-  return new ConvertNode(type->inputs[0].type, type->outputs[0].type);
-}
-
-bool ConvertNode::register_types()
-{
-  const int num_types = 8;
-  SocketType::Type types[num_types] = {SocketType::FLOAT,
-                                       SocketType::INT,
-                                       SocketType::COLOR,
-                                       SocketType::VECTOR,
-                                       SocketType::POINT,
-                                       SocketType::NORMAL,
-                                       SocketType::STRING,
-                                       SocketType::CLOSURE};
-
-  for (size_t i = 0; i < num_types; i++) {
-    SocketType::Type from = types[i];
-    ustring from_name(SocketType::type_name(from));
-    ustring from_value_name("value_" + from_name.string());
-
-    for (size_t j = 0; j < num_types; j++) {
-      SocketType::Type to = types[j];
-      ustring to_name(SocketType::type_name(to));
-      ustring to_value_name("value_" + to_name.string());
-
-      string node_name = "convert_" + from_name.string() + "_to_" + to_name.string();
-      NodeType *type = NodeType::add(node_name.c_str(), create, NodeType::SHADER);
-
-      type->register_input(from_value_name,
-                           from_value_name,
-                           from,
-                           SOCKET_OFFSETOF(ConvertNode, value_float),
-                           SocketType::zero_default_value(),
-                           NULL,
-                           NULL,
-                           SocketType::LINKABLE);
-      type->register_output(to_value_name, to_value_name, to);
-
-      assert(from < MAX_TYPE);
-      assert(to < MAX_TYPE);
-
-      node_types[from][to] = type;
-    }
-  }
-
-  return true;
-}
-
-ConvertNode::ConvertNode(SocketType::Type from_, SocketType::Type to_, bool autoconvert)
-    : ShaderNode(node_types[from_][to_])
-{
-  from = from_;
-  to = to_;
-
-  if (from == to)
-    special_type = SHADER_SPECIAL_TYPE_PROXY;
-  else if (autoconvert)
-    special_type = SHADER_SPECIAL_TYPE_AUTOCONVERT;
-}
-
-/* Union usage requires a manual copy constructor. */
-ConvertNode::ConvertNode(const ConvertNode &other)
-    : ShaderNode(other),
-      from(other.from),
-      to(other.to),
-      value_color(other.value_color),
-      value_string(other.value_string)
-{
-}
-
-void ConvertNode::constant_fold(const ConstantFolder &folder)
-{
-  /* proxy nodes should have been removed at this point */
-  assert(special_type != SHADER_SPECIAL_TYPE_PROXY);
-
-  /* TODO(DingTo): conversion from/to int is not supported yet, don't fold in that case */
-
-  if (folder.all_inputs_constant()) {
-    if (from == SocketType::FLOAT) {
-      if (SocketType::is_float3(to)) {
-        folder.make_constant(make_float3(value_float, value_float, value_float));
-      }
-    }
-    else if (SocketType::is_float3(from)) {
-      if (to == SocketType::FLOAT) {
-        if (from == SocketType::COLOR) {
-          /* color to float */
-          float val = folder.scene->shader_manager->linear_rgb_to_gray(value_color);
-          folder.make_constant(val);
-        }
-        else {
-          /* vector/point/normal to float */
-          folder.make_constant(average(value_vector));
-        }
-      }
-      else if (SocketType::is_float3(to)) {
-        folder.make_constant(value_color);
-      }
-    }
-  }
-  else {
-    ShaderInput *in = inputs[0];
-    ShaderNode *prev = in->link->parent;
-
-    /* no-op conversion of A to B to A */
-    if (prev->type == node_types[to][from]) {
-      ShaderInput *prev_in = prev->inputs[0];
-
-      if (SocketType::is_float3(from) && (to == SocketType::FLOAT || SocketType::is_float3(to)) &&
-          prev_in->link) {
-        folder.bypass(prev_in->link);
-      }
-    }
-  }
-}
-
-void ConvertNode::compile(SVMCompiler &compiler)
-{
-  /* proxy nodes should have been removed at this point */
-  assert(special_type != SHADER_SPECIAL_TYPE_PROXY);
-
-  ShaderInput *in = inputs[0];
-  ShaderOutput *out = outputs[0];
-
-  if (from == SocketType::FLOAT) {
-    if (to == SocketType::INT)
-      /* float to int */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_FI, compiler.stack_assign(in), compiler.stack_assign(out));
-    else
-      /* float to float3 */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_FV, compiler.stack_assign(in), compiler.stack_assign(out));
-  }
-  else if (from == SocketType::INT) {
-    if (to == SocketType::FLOAT)
-      /* int to float */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_IF, compiler.stack_assign(in), compiler.stack_assign(out));
-    else
-      /* int to vector/point/normal */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_IV, compiler.stack_assign(in), compiler.stack_assign(out));
-  }
-  else if (to == SocketType::FLOAT) {
-    if (from == SocketType::COLOR)
-      /* color to float */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_CF, compiler.stack_assign(in), compiler.stack_assign(out));
-    else
-      /* vector/point/normal to float */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_VF, compiler.stack_assign(in), compiler.stack_assign(out));
-  }
-  else if (to == SocketType::INT) {
-    if (from == SocketType::COLOR)
-      /* color to int */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_CI, compiler.stack_assign(in), compiler.stack_assign(out));
-    else
-      /* vector/point/normal to int */
-      compiler.add_node(
-          NODE_CONVERT, NODE_CONVERT_VI, compiler.stack_assign(in), compiler.stack_assign(out));
-  }
-  else {
-    /* float3 to float3 */
-    if (in->link) {
-      /* no op in SVM */
-      compiler.stack_link(in, out);
-    }
-    else {
-      /* set 0,0,0 value */
-      compiler.add_node(NODE_VALUE_V, compiler.stack_assign(out));
-      compiler.add_node(NODE_VALUE_V, value_color);
-    }
-  }
-}
-
-void ConvertNode::compile(OSLCompiler &compiler)
-{
-  /* proxy nodes should have been removed at this point */
-  assert(special_type != SHADER_SPECIAL_TYPE_PROXY);
-
-  if (from == SocketType::FLOAT)
-    compiler.add(this, "node_convert_from_float");
-  else if (from == SocketType::INT)
-    compiler.add(this, "node_convert_from_int");
-  else if (from == SocketType::COLOR)
-    compiler.add(this, "node_convert_from_color");
-  else if (from == SocketType::VECTOR)
-    compiler.add(this, "node_convert_from_vector");
-  else if (from == SocketType::POINT)
-    compiler.add(this, "node_convert_from_point");
-  else if (from == SocketType::NORMAL)
-    compiler.add(this, "node_convert_from_normal");
-  else
-    assert(0);
-}
-
-/* Base type for all closure-type nodes */
-
-BsdfBaseNode::BsdfBaseNode(const NodeType *node_type) : ShaderNode(node_type)
-{
-  special_type = SHADER_SPECIAL_TYPE_CLOSURE;
-}
-
-bool BsdfBaseNode::has_bump()
-{
-  /* detect if anything is plugged into the normal input besides the default */
-  ShaderInput *normal_in = input("Normal");
-  return (normal_in && normal_in->link &&
-          normal_in->link->parent->special_type != SHADER_SPECIAL_TYPE_GEOMETRY);
-}
-
-/* BSDF Closure */
-
-BsdfNode::BsdfNode(const NodeType *node_type) : BsdfBaseNode(node_type)
-{
-}
-
-void BsdfNode::compile(SVMCompiler &compiler,
-                       ShaderInput *param1,
-                       ShaderInput *param2,
-                       ShaderInput *param3,
-                       ShaderInput *param4)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *normal_in = input("Normal");
-  ShaderInput *tangent_in = input("Tangent");
-
-  if (color_in->link)
-    compiler.add_node(NODE_CLOSURE_WEIGHT, compiler.stack_assign(color_in));
-  else
-    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color);
-
-  int normal_offset = (normal_in) ? compiler.stack_assign_if_linked(normal_in) : SVM_STACK_INVALID;
-  int tangent_offset = (tangent_in) ? compiler.stack_assign_if_linked(tangent_in) :
-                                      SVM_STACK_INVALID;
-  int param3_offset = (param3) ? compiler.stack_assign(param3) : SVM_STACK_INVALID;
-  int param4_offset = (param4) ? compiler.stack_assign(param4) : SVM_STACK_INVALID;
-
-  compiler.add_node(
-      NODE_CLOSURE_BSDF,
-      compiler.encode_uchar4(closure,
-                             (param1) ? compiler.stack_assign(param1) : SVM_STACK_INVALID,
-                             (param2) ? compiler.stack_assign(param2) : SVM_STACK_INVALID,
-                             compiler.closure_mix_weight_offset()),
-      __float_as_int((param1) ? get_float(param1->socket_type) : 0.0f),
-      __float_as_int((param2) ? get_float(param2->socket_type) : 0.0f));
-
-  compiler.add_node(normal_offset, tangent_offset, param3_offset, param4_offset);
-}
-
-void BsdfNode::compile(SVMCompiler &compiler)
-{
-  compile(compiler, NULL, NULL);
-}
-
-void BsdfNode::compile(OSLCompiler & /*compiler*/)
-{
-  assert(0);
-}
-
-/* Anisotropic BSDF Closure */
-
-NODE_DEFINE(AnisotropicBsdfNode)
-{
-  NodeType *type = NodeType::add("anisotropic_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  static NodeEnum distribution_enum;
-  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_ID);
-  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_ID);
-  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID);
-  distribution_enum.insert("ashikhmin_shirley", CLOSURE_BSDF_ASHIKHMIN_SHIRLEY_ID);
-  SOCKET_ENUM(distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_ID);
-
-  SOCKET_IN_VECTOR(tangent, "Tangent", zero_float3(), SocketType::LINK_TANGENT);
-
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
-  SOCKET_IN_FLOAT(anisotropy, "Anisotropy", 0.5f);
-  SOCKET_IN_FLOAT(rotation, "Rotation", 0.0f);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-AnisotropicBsdfNode::AnisotropicBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_MICROFACET_GGX_ID;
-}
-
-void AnisotropicBsdfNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link()) {
-    ShaderInput *tangent_in = input("Tangent");
-
-    if (!tangent_in->link)
-      attributes->add(ATTR_STD_GENERATED);
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void AnisotropicBsdfNode::compile(SVMCompiler &compiler)
-{
-  closure = distribution;
-
-  if (closure == CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID)
-    BsdfNode::compile(
-        compiler, input("Roughness"), input("Anisotropy"), input("Rotation"), input("Color"));
-  else
-    BsdfNode::compile(compiler, input("Roughness"), input("Anisotropy"), input("Rotation"));
-}
-
-void AnisotropicBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "distribution");
-  compiler.add(this, "node_anisotropic_bsdf");
-}
-
-/* Glossy BSDF Closure */
-
-NODE_DEFINE(GlossyBsdfNode)
-{
-  NodeType *type = NodeType::add("glossy_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  static NodeEnum distribution_enum;
-  distribution_enum.insert("sharp", CLOSURE_BSDF_REFLECTION_ID);
-  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_ID);
-  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_ID);
-  distribution_enum.insert("ashikhmin_shirley", CLOSURE_BSDF_ASHIKHMIN_SHIRLEY_ID);
-  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID);
-  SOCKET_ENUM(distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_ID);
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-GlossyBsdfNode::GlossyBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_MICROFACET_GGX_ID;
-  distribution_orig = NBUILTIN_CLOSURES;
-}
-
-void GlossyBsdfNode::simplify_settings(Scene *scene)
-{
-  if (distribution_orig == NBUILTIN_CLOSURES) {
-    roughness_orig = roughness;
-    distribution_orig = distribution;
-  }
-  else {
-    /* By default we use original values, so we don't worry about restoring
-     * defaults later one and can only do override when needed.
-     */
-    roughness = roughness_orig;
-    distribution = distribution_orig;
-  }
-  Integrator *integrator = scene->integrator;
-  ShaderInput *roughness_input = input("Roughness");
-  if (integrator->get_filter_glossy() == 0.0f) {
-    /* Fallback to Sharp closure for Roughness close to 0.
-     * Note: Keep the epsilon in sync with kernel!
-     */
-    if (!roughness_input->link && roughness <= 1e-4f) {
-      VLOG(1) << "Using sharp glossy BSDF.";
-      distribution = CLOSURE_BSDF_REFLECTION_ID;
-    }
-  }
-  else {
-    /* If filter glossy is used we replace Sharp glossy with GGX so we can
-     * benefit from closure blur to remove unwanted noise.
-     */
-    if (roughness_input->link == NULL && distribution == CLOSURE_BSDF_REFLECTION_ID) {
-      VLOG(1) << "Using GGX glossy with filter glossy.";
-      distribution = CLOSURE_BSDF_MICROFACET_GGX_ID;
-      roughness = 0.0f;
-    }
-  }
-  closure = distribution;
-}
-
-bool GlossyBsdfNode::has_integrator_dependency()
-{
-  ShaderInput *roughness_input = input("Roughness");
-  return !roughness_input->link &&
-         (distribution == CLOSURE_BSDF_REFLECTION_ID || roughness <= 1e-4f);
-}
-
-void GlossyBsdfNode::compile(SVMCompiler &compiler)
-{
-  closure = distribution;
-
-  if (closure == CLOSURE_BSDF_REFLECTION_ID)
-    BsdfNode::compile(compiler, NULL, NULL);
-  else if (closure == CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID)
-    BsdfNode::compile(compiler, input("Roughness"), NULL, NULL, input("Color"));
-  else
-    BsdfNode::compile(compiler, input("Roughness"), NULL);
-}
-
-void GlossyBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "distribution");
-  compiler.add(this, "node_glossy_bsdf");
-}
-
-/* Glass BSDF Closure */
-
-NODE_DEFINE(GlassBsdfNode)
-{
-  NodeType *type = NodeType::add("glass_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  static NodeEnum distribution_enum;
-  distribution_enum.insert("sharp", CLOSURE_BSDF_SHARP_GLASS_ID);
-  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_GLASS_ID);
-  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID);
-  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID);
-  SOCKET_ENUM(
-      distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID);
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.0f);
-  SOCKET_IN_FLOAT(IOR, "IOR", 0.3f);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-GlassBsdfNode::GlassBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_SHARP_GLASS_ID;
-  distribution_orig = NBUILTIN_CLOSURES;
-}
-
-void GlassBsdfNode::simplify_settings(Scene *scene)
-{
-  if (distribution_orig == NBUILTIN_CLOSURES) {
-    roughness_orig = roughness;
-    distribution_orig = distribution;
-  }
-  else {
-    /* By default we use original values, so we don't worry about restoring
-     * defaults later one and can only do override when needed.
-     */
-    roughness = roughness_orig;
-    distribution = distribution_orig;
-  }
-  Integrator *integrator = scene->integrator;
-  ShaderInput *roughness_input = input("Roughness");
-  if (integrator->get_filter_glossy() == 0.0f) {
-    /* Fallback to Sharp closure for Roughness close to 0.
-     * Note: Keep the epsilon in sync with kernel!
-     */
-    if (!roughness_input->link && roughness <= 1e-4f) {
-      VLOG(1) << "Using sharp glass BSDF.";
-      distribution = CLOSURE_BSDF_SHARP_GLASS_ID;
-    }
-  }
-  else {
-    /* If filter glossy is used we replace Sharp glossy with GGX so we can
-     * benefit from closure blur to remove unwanted noise.
-     */
-    if (roughness_input->link == NULL && distribution == CLOSURE_BSDF_SHARP_GLASS_ID) {
-      VLOG(1) << "Using GGX glass with filter glossy.";
-      distribution = CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID;
-      roughness = 0.0f;
-    }
-  }
-  closure = distribution;
-}
-
-bool GlassBsdfNode::has_integrator_dependency()
-{
-  ShaderInput *roughness_input = input("Roughness");
-  return !roughness_input->link &&
-         (distribution == CLOSURE_BSDF_SHARP_GLASS_ID || roughness <= 1e-4f);
-}
-
-void GlassBsdfNode::compile(SVMCompiler &compiler)
-{
-  closure = distribution;
-
-  if (closure == CLOSURE_BSDF_SHARP_GLASS_ID)
-    BsdfNode::compile(compiler, NULL, input("IOR"));
-  else if (closure == CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID)
-    BsdfNode::compile(compiler, input("Roughness"), input("IOR"), input("Color"));
-  else
-    BsdfNode::compile(compiler, input("Roughness"), input("IOR"));
-}
-
-void GlassBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "distribution");
-  compiler.add(this, "node_glass_bsdf");
-}
-
-/* Refraction BSDF Closure */
-
-NODE_DEFINE(RefractionBsdfNode)
-{
-  NodeType *type = NodeType::add("refraction_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  static NodeEnum distribution_enum;
-  distribution_enum.insert("sharp", CLOSURE_BSDF_REFRACTION_ID);
-  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_REFRACTION_ID);
-  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_REFRACTION_ID);
-  SOCKET_ENUM(
-      distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_REFRACTION_ID);
-
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.0f);
-  SOCKET_IN_FLOAT(IOR, "IOR", 0.3f);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-RefractionBsdfNode::RefractionBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_REFRACTION_ID;
-  distribution_orig = NBUILTIN_CLOSURES;
-}
-
-void RefractionBsdfNode::simplify_settings(Scene *scene)
-{
-  if (distribution_orig == NBUILTIN_CLOSURES) {
-    roughness_orig = roughness;
-    distribution_orig = distribution;
-  }
-  else {
-    /* By default we use original values, so we don't worry about restoring
-     * defaults later one and can only do override when needed.
-     */
-    roughness = roughness_orig;
-    distribution = distribution_orig;
-  }
-  Integrator *integrator = scene->integrator;
-  ShaderInput *roughness_input = input("Roughness");
-  if (integrator->get_filter_glossy() == 0.0f) {
-    /* Fallback to Sharp closure for Roughness close to 0.
-     * Note: Keep the epsilon in sync with kernel!
-     */
-    if (!roughness_input->link && roughness <= 1e-4f) {
-      VLOG(1) << "Using sharp refraction BSDF.";
-      distribution = CLOSURE_BSDF_REFRACTION_ID;
-    }
-  }
-  else {
-    /* If filter glossy is used we replace Sharp glossy with GGX so we can
-     * benefit from closure blur to remove unwanted noise.
-     */
-    if (roughness_input->link == NULL && distribution == CLOSURE_BSDF_REFRACTION_ID) {
-      VLOG(1) << "Using GGX refraction with filter glossy.";
-      distribution = CLOSURE_BSDF_MICROFACET_GGX_REFRACTION_ID;
-      roughness = 0.0f;
-    }
-  }
-  closure = distribution;
-}
-
-bool RefractionBsdfNode::has_integrator_dependency()
-{
-  ShaderInput *roughness_input = input("Roughness");
-  return !roughness_input->link &&
-         (distribution == CLOSURE_BSDF_REFRACTION_ID || roughness <= 1e-4f);
-}
-
-void RefractionBsdfNode::compile(SVMCompiler &compiler)
-{
-  closure = distribution;
-
-  if (closure == CLOSURE_BSDF_REFRACTION_ID)
-    BsdfNode::compile(compiler, NULL, input("IOR"));
-  else
-    BsdfNode::compile(compiler, input("Roughness"), input("IOR"));
-}
-
-void RefractionBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "distribution");
-  compiler.add(this, "node_refraction_bsdf");
-}
-
-/* Toon BSDF Closure */
-
-NODE_DEFINE(ToonBsdfNode)
-{
-  NodeType *type = NodeType::add("toon_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  static NodeEnum component_enum;
-  component_enum.insert("diffuse", CLOSURE_BSDF_DIFFUSE_TOON_ID);
-  component_enum.insert("glossy", CLOSURE_BSDF_GLOSSY_TOON_ID);
-  SOCKET_ENUM(component, "Component", component_enum, CLOSURE_BSDF_DIFFUSE_TOON_ID);
-  SOCKET_IN_FLOAT(size, "Size", 0.5f);
-  SOCKET_IN_FLOAT(smooth, "Smooth", 0.0f);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-ToonBsdfNode::ToonBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_DIFFUSE_TOON_ID;
-}
-
-void ToonBsdfNode::compile(SVMCompiler &compiler)
-{
-  closure = component;
-
-  BsdfNode::compile(compiler, input("Size"), input("Smooth"));
-}
-
-void ToonBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "component");
-  compiler.add(this, "node_toon_bsdf");
-}
-
-/* Velvet BSDF Closure */
-
-NODE_DEFINE(VelvetBsdfNode)
-{
-  NodeType *type = NodeType::add("velvet_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-  SOCKET_IN_FLOAT(sigma, "Sigma", 1.0f);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-VelvetBsdfNode::VelvetBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_ASHIKHMIN_VELVET_ID;
-}
-
-void VelvetBsdfNode::compile(SVMCompiler &compiler)
-{
-  BsdfNode::compile(compiler, input("Sigma"), NULL);
-}
-
-void VelvetBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_velvet_bsdf");
-}
-
-/* Diffuse BSDF Closure */
-
-NODE_DEFINE(DiffuseBsdfNode)
-{
-  NodeType *type = NodeType::add("diffuse_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.0f);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-DiffuseBsdfNode::DiffuseBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_DIFFUSE_ID;
-}
-
-void DiffuseBsdfNode::compile(SVMCompiler &compiler)
-{
-  BsdfNode::compile(compiler, input("Roughness"), NULL);
-}
-
-void DiffuseBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_diffuse_bsdf");
-}
-
-/* Disney principled BSDF Closure */
-NODE_DEFINE(PrincipledBsdfNode)
-{
-  NodeType *type = NodeType::add("principled_bsdf", create, NodeType::SHADER);
-
-  static NodeEnum distribution_enum;
-  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID);
-  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID);
-  SOCKET_ENUM(
-      distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID);
-
-  static NodeEnum subsurface_method_enum;
-  subsurface_method_enum.insert("burley", CLOSURE_BSSRDF_BURLEY_ID);
-  subsurface_method_enum.insert("random_walk_fixed_radius",
-                                CLOSURE_BSSRDF_RANDOM_WALK_FIXED_RADIUS_ID);
-  subsurface_method_enum.insert("random_walk", CLOSURE_BSSRDF_RANDOM_WALK_ID);
-  SOCKET_ENUM(subsurface_method,
-              "Subsurface Method",
-              subsurface_method_enum,
-              CLOSURE_BSSRDF_RANDOM_WALK_ID);
-
-  SOCKET_IN_COLOR(base_color, "Base Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_COLOR(subsurface_color, "Subsurface Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_FLOAT(metallic, "Metallic", 0.0f);
-  SOCKET_IN_FLOAT(subsurface, "Subsurface", 0.0f);
-  SOCKET_IN_VECTOR(subsurface_radius, "Subsurface Radius", make_float3(0.1f, 0.1f, 0.1f));
-  SOCKET_IN_FLOAT(subsurface_ior, "Subsurface IOR", 1.4f);
-  SOCKET_IN_FLOAT(subsurface_anisotropy, "Subsurface Anisotropy", 0.0f);
-  SOCKET_IN_FLOAT(specular, "Specular", 0.0f);
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
-  SOCKET_IN_FLOAT(specular_tint, "Specular Tint", 0.0f);
-  SOCKET_IN_FLOAT(anisotropic, "Anisotropic", 0.0f);
-  SOCKET_IN_FLOAT(sheen, "Sheen", 0.0f);
-  SOCKET_IN_FLOAT(sheen_tint, "Sheen Tint", 0.0f);
-  SOCKET_IN_FLOAT(clearcoat, "Clearcoat", 0.0f);
-  SOCKET_IN_FLOAT(clearcoat_roughness, "Clearcoat Roughness", 0.03f);
-  SOCKET_IN_FLOAT(ior, "IOR", 0.0f);
-  SOCKET_IN_FLOAT(transmission, "Transmission", 0.0f);
-  SOCKET_IN_FLOAT(transmission_roughness, "Transmission Roughness", 0.0f);
-  SOCKET_IN_FLOAT(anisotropic_rotation, "Anisotropic Rotation", 0.0f);
-  SOCKET_IN_COLOR(emission, "Emission", zero_float3());
-  SOCKET_IN_FLOAT(emission_strength, "Emission Strength", 1.0f);
-  SOCKET_IN_FLOAT(alpha, "Alpha", 1.0f);
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_NORMAL(clearcoat_normal, "Clearcoat Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_NORMAL(tangent, "Tangent", zero_float3(), SocketType::LINK_TANGENT);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-PrincipledBsdfNode::PrincipledBsdfNode() : BsdfBaseNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_PRINCIPLED_ID;
-  distribution = CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID;
-  distribution_orig = NBUILTIN_CLOSURES;
-}
-
-void PrincipledBsdfNode::expand(ShaderGraph *graph)
-{
-  ShaderOutput *principled_out = output("BSDF");
-
-  ShaderInput *emission_in = input("Emission");
-  ShaderInput *emission_strength_in = input("Emission Strength");
-  if ((emission_in->link || emission != zero_float3()) &&
-      (emission_strength_in->link || emission_strength != 0.0f)) {
-    /* Create add closure and emission, and relink inputs. */
-    AddClosureNode *add = graph->create_node<AddClosureNode>();
-    EmissionNode *emission_node = graph->create_node<EmissionNode>();
-    ShaderOutput *new_out = add->output("Closure");
-
-    graph->add(add);
-    graph->add(emission_node);
-
-    graph->relink(emission_strength_in, emission_node->input("Strength"));
-    graph->relink(emission_in, emission_node->input("Color"));
-    graph->relink(principled_out, new_out);
-    graph->connect(emission_node->output("Emission"), add->input("Closure1"));
-    graph->connect(principled_out, add->input("Closure2"));
-
-    principled_out = new_out;
-  }
-  else {
-    /* Disconnect unused links if the other value is zero, required before
-     * we remove the input from the node entirely. */
-    if (emission_in->link) {
-      emission_in->disconnect();
-    }
-    if (emission_strength_in->link) {
-      emission_strength_in->disconnect();
-    }
-  }
-
-  ShaderInput *alpha_in = input("Alpha");
-  if (alpha_in->link || alpha != 1.0f) {
-    /* Create mix and transparent BSDF for alpha transparency. */
-    MixClosureNode *mix = graph->create_node<MixClosureNode>();
-    TransparentBsdfNode *transparent = graph->create_node<TransparentBsdfNode>();
-
-    graph->add(mix);
-    graph->add(transparent);
-
-    graph->relink(alpha_in, mix->input("Fac"));
-    graph->relink(principled_out, mix->output("Closure"));
-    graph->connect(transparent->output("BSDF"), mix->input("Closure1"));
-    graph->connect(principled_out, mix->input("Closure2"));
-  }
-
-  remove_input(emission_in);
-  remove_input(emission_strength_in);
-  remove_input(alpha_in);
-}
-
-bool PrincipledBsdfNode::has_surface_bssrdf()
-{
-  ShaderInput *subsurface_in = input("Subsurface");
-  return (subsurface_in->link != NULL || subsurface > CLOSURE_WEIGHT_CUTOFF);
-}
-
-void PrincipledBsdfNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link()) {
-    ShaderInput *tangent_in = input("Tangent");
-
-    if (!tangent_in->link)
-      attributes->add(ATTR_STD_GENERATED);
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void PrincipledBsdfNode::compile(SVMCompiler &compiler,
-                                 ShaderInput *p_metallic,
-                                 ShaderInput *p_subsurface,
-                                 ShaderInput *p_subsurface_radius,
-                                 ShaderInput *p_subsurface_ior,
-                                 ShaderInput *p_subsurface_anisotropy,
-                                 ShaderInput *p_specular,
-                                 ShaderInput *p_roughness,
-                                 ShaderInput *p_specular_tint,
-                                 ShaderInput *p_anisotropic,
-                                 ShaderInput *p_sheen,
-                                 ShaderInput *p_sheen_tint,
-                                 ShaderInput *p_clearcoat,
-                                 ShaderInput *p_clearcoat_roughness,
-                                 ShaderInput *p_ior,
-                                 ShaderInput *p_transmission,
-                                 ShaderInput *p_anisotropic_rotation,
-                                 ShaderInput *p_transmission_roughness)
-{
-  ShaderInput *base_color_in = input("Base Color");
-  ShaderInput *subsurface_color_in = input("Subsurface Color");
-  ShaderInput *normal_in = input("Normal");
-  ShaderInput *clearcoat_normal_in = input("Clearcoat Normal");
-  ShaderInput *tangent_in = input("Tangent");
-
-  float3 weight = one_float3();
-
-  compiler.add_node(NODE_CLOSURE_SET_WEIGHT, weight);
-
-  int normal_offset = compiler.stack_assign_if_linked(normal_in);
-  int clearcoat_normal_offset = compiler.stack_assign_if_linked(clearcoat_normal_in);
-  int tangent_offset = compiler.stack_assign_if_linked(tangent_in);
-  int specular_offset = compiler.stack_assign(p_specular);
-  int roughness_offset = compiler.stack_assign(p_roughness);
-  int specular_tint_offset = compiler.stack_assign(p_specular_tint);
-  int anisotropic_offset = compiler.stack_assign(p_anisotropic);
-  int sheen_offset = compiler.stack_assign(p_sheen);
-  int sheen_tint_offset = compiler.stack_assign(p_sheen_tint);
-  int clearcoat_offset = compiler.stack_assign(p_clearcoat);
-  int clearcoat_roughness_offset = compiler.stack_assign(p_clearcoat_roughness);
-  int ior_offset = compiler.stack_assign(p_ior);
-  int transmission_offset = compiler.stack_assign(p_transmission);
-  int transmission_roughness_offset = compiler.stack_assign(p_transmission_roughness);
-  int anisotropic_rotation_offset = compiler.stack_assign(p_anisotropic_rotation);
-  int subsurface_radius_offset = compiler.stack_assign(p_subsurface_radius);
-  int subsurface_ior_offset = compiler.stack_assign(p_subsurface_ior);
-  int subsurface_anisotropy_offset = compiler.stack_assign(p_subsurface_anisotropy);
-
-  compiler.add_node(NODE_CLOSURE_BSDF,
-                    compiler.encode_uchar4(closure,
-                                           compiler.stack_assign(p_metallic),
-                                           compiler.stack_assign(p_subsurface),
-                                           compiler.closure_mix_weight_offset()),
-                    __float_as_int((p_metallic) ? get_float(p_metallic->socket_type) : 0.0f),
-                    __float_as_int((p_subsurface) ? get_float(p_subsurface->socket_type) : 0.0f));
-
-  compiler.add_node(
-      normal_offset,
-      tangent_offset,
-      compiler.encode_uchar4(
-          specular_offset, roughness_offset, specular_tint_offset, anisotropic_offset),
-      compiler.encode_uchar4(
-          sheen_offset, sheen_tint_offset, clearcoat_offset, clearcoat_roughness_offset));
-
-  compiler.add_node(compiler.encode_uchar4(ior_offset,
-                                           transmission_offset,
-                                           anisotropic_rotation_offset,
-                                           transmission_roughness_offset),
-                    distribution,
-                    subsurface_method,
-                    SVM_STACK_INVALID);
-
-  float3 bc_default = get_float3(base_color_in->socket_type);
-
-  compiler.add_node(
-      ((base_color_in->link) ? compiler.stack_assign(base_color_in) : SVM_STACK_INVALID),
-      __float_as_int(bc_default.x),
-      __float_as_int(bc_default.y),
-      __float_as_int(bc_default.z));
-
-  compiler.add_node(clearcoat_normal_offset,
-                    subsurface_radius_offset,
-                    subsurface_ior_offset,
-                    subsurface_anisotropy_offset);
-
-  float3 ss_default = get_float3(subsurface_color_in->socket_type);
-
-  compiler.add_node(((subsurface_color_in->link) ? compiler.stack_assign(subsurface_color_in) :
-                                                   SVM_STACK_INVALID),
-                    __float_as_int(ss_default.x),
-                    __float_as_int(ss_default.y),
-                    __float_as_int(ss_default.z));
-}
-
-bool PrincipledBsdfNode::has_integrator_dependency()
-{
-  ShaderInput *roughness_input = input("Roughness");
-  return !roughness_input->link && roughness <= 1e-4f;
-}
-
-void PrincipledBsdfNode::compile(SVMCompiler &compiler)
-{
-  compile(compiler,
-          input("Metallic"),
-          input("Subsurface"),
-          input("Subsurface Radius"),
-          input("Subsurface IOR"),
-          input("Subsurface Anisotropy"),
-          input("Specular"),
-          input("Roughness"),
-          input("Specular Tint"),
-          input("Anisotropic"),
-          input("Sheen"),
-          input("Sheen Tint"),
-          input("Clearcoat"),
-          input("Clearcoat Roughness"),
-          input("IOR"),
-          input("Transmission"),
-          input("Anisotropic Rotation"),
-          input("Transmission Roughness"));
-}
-
-void PrincipledBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "distribution");
-  compiler.parameter(this, "subsurface_method");
-  compiler.add(this, "node_principled_bsdf");
-}
-
-bool PrincipledBsdfNode::has_bssrdf_bump()
-{
-  return has_surface_bssrdf() && has_bump();
-}
-
-/* Translucent BSDF Closure */
-
-NODE_DEFINE(TranslucentBsdfNode)
-{
-  NodeType *type = NodeType::add("translucent_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-TranslucentBsdfNode::TranslucentBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_TRANSLUCENT_ID;
-}
-
-void TranslucentBsdfNode::compile(SVMCompiler &compiler)
-{
-  BsdfNode::compile(compiler, NULL, NULL);
-}
-
-void TranslucentBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_translucent_bsdf");
-}
-
-/* Transparent BSDF Closure */
-
-NODE_DEFINE(TransparentBsdfNode)
-{
-  NodeType *type = NodeType::add("transparent_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", one_float3());
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-TransparentBsdfNode::TransparentBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_TRANSPARENT_ID;
-}
-
-void TransparentBsdfNode::compile(SVMCompiler &compiler)
-{
-  BsdfNode::compile(compiler, NULL, NULL);
-}
-
-void TransparentBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_transparent_bsdf");
-}
-
-/* Subsurface Scattering Closure */
-
-NODE_DEFINE(SubsurfaceScatteringNode)
-{
-  NodeType *type = NodeType::add("subsurface_scattering", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  static NodeEnum method_enum;
-  method_enum.insert("burley", CLOSURE_BSSRDF_BURLEY_ID);
-  method_enum.insert("random_walk_fixed_radius", CLOSURE_BSSRDF_RANDOM_WALK_FIXED_RADIUS_ID);
-  method_enum.insert("random_walk", CLOSURE_BSSRDF_RANDOM_WALK_ID);
-  SOCKET_ENUM(method, "Method", method_enum, CLOSURE_BSSRDF_RANDOM_WALK_ID);
-
-  SOCKET_IN_FLOAT(scale, "Scale", 0.01f);
-  SOCKET_IN_VECTOR(radius, "Radius", make_float3(0.1f, 0.1f, 0.1f));
-
-  SOCKET_IN_FLOAT(subsurface_ior, "IOR", 1.4f);
-  SOCKET_IN_FLOAT(subsurface_anisotropy, "Anisotropy", 0.0f);
-
-  SOCKET_OUT_CLOSURE(BSSRDF, "BSSRDF");
-
-  return type;
-}
-
-SubsurfaceScatteringNode::SubsurfaceScatteringNode() : BsdfNode(get_node_type())
-{
-  closure = method;
-}
-
-void SubsurfaceScatteringNode::compile(SVMCompiler &compiler)
-{
-  closure = method;
-  BsdfNode::compile(compiler, input("Scale"), input("IOR"), input("Radius"), input("Anisotropy"));
-}
-
-void SubsurfaceScatteringNode::compile(OSLCompiler &compiler)
-{
-  closure = method;
-  compiler.parameter(this, "method");
-  compiler.add(this, "node_subsurface_scattering");
-}
-
-bool SubsurfaceScatteringNode::has_bssrdf_bump()
-{
-  /* detect if anything is plugged into the normal input besides the default */
-  ShaderInput *normal_in = input("Normal");
-  return (normal_in->link &&
-          normal_in->link->parent->special_type != SHADER_SPECIAL_TYPE_GEOMETRY);
-}
-
-/* Emissive Closure */
-
-NODE_DEFINE(EmissionNode)
-{
-  NodeType *type = NodeType::add("emission", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_FLOAT(strength, "Strength", 10.0f);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(emission, "Emission");
-
-  return type;
-}
-
-EmissionNode::EmissionNode() : ShaderNode(get_node_type())
-{
-}
-
-void EmissionNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *strength_in = input("Strength");
-
-  if (color_in->link || strength_in->link) {
-    compiler.add_node(
-        NODE_EMISSION_WEIGHT, compiler.stack_assign(color_in), compiler.stack_assign(strength_in));
-  }
-  else
-    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color * strength);
-
-  compiler.add_node(NODE_CLOSURE_EMISSION, compiler.closure_mix_weight_offset());
-}
-
-void EmissionNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_emission");
-}
-
-void EmissionNode::constant_fold(const ConstantFolder &folder)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *strength_in = input("Strength");
-
-  if ((!color_in->link && color == zero_float3()) || (!strength_in->link && strength == 0.0f)) {
-    folder.discard();
-  }
-}
-
-/* Background Closure */
-
-NODE_DEFINE(BackgroundNode)
-{
-  NodeType *type = NodeType::add("background_shader", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(background, "Background");
-
-  return type;
-}
-
-BackgroundNode::BackgroundNode() : ShaderNode(get_node_type())
-{
-}
-
-void BackgroundNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *strength_in = input("Strength");
-
-  if (color_in->link || strength_in->link) {
-    compiler.add_node(
-        NODE_EMISSION_WEIGHT, compiler.stack_assign(color_in), compiler.stack_assign(strength_in));
-  }
-  else
-    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color * strength);
-
-  compiler.add_node(NODE_CLOSURE_BACKGROUND, compiler.closure_mix_weight_offset());
-}
-
-void BackgroundNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_background");
-}
-
-void BackgroundNode::constant_fold(const ConstantFolder &folder)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *strength_in = input("Strength");
-
-  if ((!color_in->link && color == zero_float3()) || (!strength_in->link && strength == 0.0f)) {
-    folder.discard();
-  }
-}
-
-/* Holdout Closure */
-
-NODE_DEFINE(HoldoutNode)
-{
-  NodeType *type = NodeType::add("holdout", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(holdout, "Holdout");
-
-  return type;
-}
-
-HoldoutNode::HoldoutNode() : ShaderNode(get_node_type())
-{
-}
-
-void HoldoutNode::compile(SVMCompiler &compiler)
-{
-  float3 value = one_float3();
-
-  compiler.add_node(NODE_CLOSURE_SET_WEIGHT, value);
-  compiler.add_node(NODE_CLOSURE_HOLDOUT, compiler.closure_mix_weight_offset());
-}
-
-void HoldoutNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_holdout");
-}
-
-/* Ambient Occlusion */
-
-NODE_DEFINE(AmbientOcclusionNode)
-{
-  NodeType *type = NodeType::add("ambient_occlusion", create, NodeType::SHADER);
-
-  SOCKET_INT(samples, "Samples", 16);
-
-  SOCKET_IN_COLOR(color, "Color", one_float3());
-  SOCKET_IN_FLOAT(distance, "Distance", 1.0f);
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-
-  SOCKET_BOOLEAN(inside, "Inside", false);
-  SOCKET_BOOLEAN(only_local, "Only Local", false);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(ao, "AO");
-
-  return type;
-}
-
-AmbientOcclusionNode::AmbientOcclusionNode() : ShaderNode(get_node_type())
-{
-}
-
-void AmbientOcclusionNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *distance_in = input("Distance");
-  ShaderInput *normal_in = input("Normal");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *ao_out = output("AO");
-
-  int flags = (inside ? NODE_AO_INSIDE : 0) | (only_local ? NODE_AO_ONLY_LOCAL : 0);
-
-  if (!distance_in->link && distance == 0.0f) {
-    flags |= NODE_AO_GLOBAL_RADIUS;
-  }
-
-  compiler.add_node(NODE_AMBIENT_OCCLUSION,
-                    compiler.encode_uchar4(flags,
-                                           compiler.stack_assign_if_linked(distance_in),
-                                           compiler.stack_assign_if_linked(normal_in),
-                                           compiler.stack_assign(ao_out)),
-                    compiler.encode_uchar4(compiler.stack_assign(color_in),
-                                           compiler.stack_assign(color_out),
-                                           samples),
-                    __float_as_uint(distance));
-}
-
-void AmbientOcclusionNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "samples");
-  compiler.parameter(this, "inside");
-  compiler.parameter(this, "only_local");
-  compiler.add(this, "node_ambient_occlusion");
-}
-
-/* Volume Closure */
-
-VolumeNode::VolumeNode(const NodeType *node_type) : ShaderNode(node_type)
-{
-  closure = CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID;
-}
-
-void VolumeNode::compile(SVMCompiler &compiler, ShaderInput *param1, ShaderInput *param2)
-{
-  ShaderInput *color_in = input("Color");
-
-  if (color_in->link)
-    compiler.add_node(NODE_CLOSURE_WEIGHT, compiler.stack_assign(color_in));
-  else
-    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color);
-
-  compiler.add_node(
-      NODE_CLOSURE_VOLUME,
-      compiler.encode_uchar4(closure,
-                             (param1) ? compiler.stack_assign(param1) : SVM_STACK_INVALID,
-                             (param2) ? compiler.stack_assign(param2) : SVM_STACK_INVALID,
-                             compiler.closure_mix_weight_offset()),
-      __float_as_int((param1) ? get_float(param1->socket_type) : 0.0f),
-      __float_as_int((param2) ? get_float(param2->socket_type) : 0.0f));
-}
-
-void VolumeNode::compile(SVMCompiler &compiler)
-{
-  compile(compiler, NULL, NULL);
-}
-
-void VolumeNode::compile(OSLCompiler & /*compiler*/)
-{
-  assert(0);
-}
-
-/* Absorption Volume Closure */
-
-NODE_DEFINE(AbsorptionVolumeNode)
-{
-  NodeType *type = NodeType::add("absorption_volume", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_FLOAT(density, "Density", 1.0f);
-  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(volume, "Volume");
-
-  return type;
-}
-
-AbsorptionVolumeNode::AbsorptionVolumeNode() : VolumeNode(get_node_type())
-{
-  closure = CLOSURE_VOLUME_ABSORPTION_ID;
-}
-
-void AbsorptionVolumeNode::compile(SVMCompiler &compiler)
-{
-  VolumeNode::compile(compiler, input("Density"), NULL);
-}
-
-void AbsorptionVolumeNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_absorption_volume");
-}
-
-/* Scatter Volume Closure */
-
-NODE_DEFINE(ScatterVolumeNode)
-{
-  NodeType *type = NodeType::add("scatter_volume", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_FLOAT(density, "Density", 1.0f);
-  SOCKET_IN_FLOAT(anisotropy, "Anisotropy", 0.0f);
-  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(volume, "Volume");
-
-  return type;
-}
-
-ScatterVolumeNode::ScatterVolumeNode() : VolumeNode(get_node_type())
-{
-  closure = CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID;
-}
-
-void ScatterVolumeNode::compile(SVMCompiler &compiler)
-{
-  VolumeNode::compile(compiler, input("Density"), input("Anisotropy"));
-}
-
-void ScatterVolumeNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_scatter_volume");
-}
-
-/* Principled Volume Closure */
-
-NODE_DEFINE(PrincipledVolumeNode)
-{
-  NodeType *type = NodeType::add("principled_volume", create, NodeType::SHADER);
-
-  SOCKET_IN_STRING(density_attribute, "Density Attribute", ustring());
-  SOCKET_IN_STRING(color_attribute, "Color Attribute", ustring());
-  SOCKET_IN_STRING(temperature_attribute, "Temperature Attribute", ustring());
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.5f, 0.5f, 0.5f));
-  SOCKET_IN_FLOAT(density, "Density", 1.0f);
-  SOCKET_IN_FLOAT(anisotropy, "Anisotropy", 0.0f);
-  SOCKET_IN_COLOR(absorption_color, "Absorption Color", zero_float3());
-  SOCKET_IN_FLOAT(emission_strength, "Emission Strength", 0.0f);
-  SOCKET_IN_COLOR(emission_color, "Emission Color", one_float3());
-  SOCKET_IN_FLOAT(blackbody_intensity, "Blackbody Intensity", 0.0f);
-  SOCKET_IN_COLOR(blackbody_tint, "Blackbody Tint", one_float3());
-  SOCKET_IN_FLOAT(temperature, "Temperature", 1000.0f);
-  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(volume, "Volume");
-
-  return type;
-}
-
-PrincipledVolumeNode::PrincipledVolumeNode() : VolumeNode(get_node_type())
-{
-  closure = CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID;
-  density_attribute = ustring("density");
-  temperature_attribute = ustring("temperature");
-}
-
-void PrincipledVolumeNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_volume) {
-    ShaderInput *density_in = input("Density");
-    ShaderInput *blackbody_in = input("Blackbody Intensity");
-
-    if (density_in->link || density > 0.0f) {
-      attributes->add_standard(density_attribute);
-      attributes->add_standard(color_attribute);
-    }
-
-    if (blackbody_in->link || blackbody_intensity > 0.0f) {
-      attributes->add_standard(temperature_attribute);
-    }
-
-    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void PrincipledVolumeNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *density_in = input("Density");
-  ShaderInput *anisotropy_in = input("Anisotropy");
-  ShaderInput *absorption_color_in = input("Absorption Color");
-  ShaderInput *emission_in = input("Emission Strength");
-  ShaderInput *emission_color_in = input("Emission Color");
-  ShaderInput *blackbody_in = input("Blackbody Intensity");
-  ShaderInput *blackbody_tint_in = input("Blackbody Tint");
-  ShaderInput *temperature_in = input("Temperature");
-
-  if (color_in->link)
-    compiler.add_node(NODE_CLOSURE_WEIGHT, compiler.stack_assign(color_in));
-  else
-    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color);
-
-  compiler.add_node(NODE_PRINCIPLED_VOLUME,
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(density_in),
-                                           compiler.stack_assign_if_linked(anisotropy_in),
-                                           compiler.stack_assign(absorption_color_in),
-                                           compiler.closure_mix_weight_offset()),
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(emission_in),
-                                           compiler.stack_assign(emission_color_in),
-                                           compiler.stack_assign_if_linked(blackbody_in),
-                                           compiler.stack_assign(temperature_in)),
-                    compiler.stack_assign(blackbody_tint_in));
-
-  int attr_density = compiler.attribute_standard(density_attribute);
-  int attr_color = compiler.attribute_standard(color_attribute);
-  int attr_temperature = compiler.attribute_standard(temperature_attribute);
-
-  compiler.add_node(__float_as_int(density),
-                    __float_as_int(anisotropy),
-                    __float_as_int(emission_strength),
-                    __float_as_int(blackbody_intensity));
-
-  compiler.add_node(attr_density, attr_color, attr_temperature);
-}
-
-void PrincipledVolumeNode::compile(OSLCompiler &compiler)
-{
-  if (Attribute::name_standard(density_attribute.c_str())) {
-    density_attribute = ustring("geom:" + density_attribute.string());
-  }
-  if (Attribute::name_standard(color_attribute.c_str())) {
-    color_attribute = ustring("geom:" + color_attribute.string());
-  }
-  if (Attribute::name_standard(temperature_attribute.c_str())) {
-    temperature_attribute = ustring("geom:" + temperature_attribute.string());
-  }
-
-  compiler.add(this, "node_principled_volume");
-}
-
-/* Principled Hair BSDF Closure */
-
-NODE_DEFINE(PrincipledHairBsdfNode)
-{
-  NodeType *type = NodeType::add("principled_hair_bsdf", create, NodeType::SHADER);
-
-  /* Color parametrization specified as enum. */
-  static NodeEnum parametrization_enum;
-  parametrization_enum.insert("Direct coloring", NODE_PRINCIPLED_HAIR_REFLECTANCE);
-  parametrization_enum.insert("Melanin concentration", NODE_PRINCIPLED_HAIR_PIGMENT_CONCENTRATION);
-  parametrization_enum.insert("Absorption coefficient", NODE_PRINCIPLED_HAIR_DIRECT_ABSORPTION);
-  SOCKET_ENUM(
-      parametrization, "Parametrization", parametrization_enum, NODE_PRINCIPLED_HAIR_REFLECTANCE);
-
-  /* Initialize sockets to their default values. */
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.017513f, 0.005763f, 0.002059f));
-  SOCKET_IN_FLOAT(melanin, "Melanin", 0.8f);
-  SOCKET_IN_FLOAT(melanin_redness, "Melanin Redness", 1.0f);
-  SOCKET_IN_COLOR(tint, "Tint", make_float3(1.f, 1.f, 1.f));
-  SOCKET_IN_VECTOR(absorption_coefficient,
-                   "Absorption Coefficient",
-                   make_float3(0.245531f, 0.52f, 1.365f),
-                   SocketType::VECTOR);
-
-  SOCKET_IN_FLOAT(offset, "Offset", 2.f * M_PI_F / 180.f);
-  SOCKET_IN_FLOAT(roughness, "Roughness", 0.3f);
-  SOCKET_IN_FLOAT(radial_roughness, "Radial Roughness", 0.3f);
-  SOCKET_IN_FLOAT(coat, "Coat", 0.0f);
-  SOCKET_IN_FLOAT(ior, "IOR", 1.55f);
-
-  SOCKET_IN_FLOAT(random_roughness, "Random Roughness", 0.0f);
-  SOCKET_IN_FLOAT(random_color, "Random Color", 0.0f);
-  SOCKET_IN_FLOAT(random, "Random", 0.0f);
-
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-PrincipledHairBsdfNode::PrincipledHairBsdfNode() : BsdfBaseNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_HAIR_PRINCIPLED_ID;
-}
-
-/* Enable retrieving Hair Info -> Random if Random isn't linked. */
-void PrincipledHairBsdfNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (!input("Random")->link) {
-    attributes->add(ATTR_STD_CURVE_RANDOM);
-  }
-  ShaderNode::attributes(shader, attributes);
-}
-
-/* Prepares the input data for the SVM shader. */
-void PrincipledHairBsdfNode::compile(SVMCompiler &compiler)
-{
-  compiler.add_node(NODE_CLOSURE_SET_WEIGHT, one_float3());
-
-  ShaderInput *roughness_in = input("Roughness");
-  ShaderInput *radial_roughness_in = input("Radial Roughness");
-  ShaderInput *random_roughness_in = input("Random Roughness");
-  ShaderInput *offset_in = input("Offset");
-  ShaderInput *coat_in = input("Coat");
-  ShaderInput *ior_in = input("IOR");
-  ShaderInput *melanin_in = input("Melanin");
-  ShaderInput *melanin_redness_in = input("Melanin Redness");
-  ShaderInput *random_color_in = input("Random Color");
-
-  int color_ofs = compiler.stack_assign(input("Color"));
-  int tint_ofs = compiler.stack_assign(input("Tint"));
-  int absorption_coefficient_ofs = compiler.stack_assign(input("Absorption Coefficient"));
-
-  ShaderInput *random_in = input("Random");
-  int attr_random = random_in->link ? SVM_STACK_INVALID :
-                                      compiler.attribute(ATTR_STD_CURVE_RANDOM);
-
-  /* Encode all parameters into data nodes. */
-  compiler.add_node(NODE_CLOSURE_BSDF,
-                    /* Socket IDs can be packed 4 at a time into a single data packet */
-                    compiler.encode_uchar4(closure,
-                                           compiler.stack_assign_if_linked(roughness_in),
-                                           compiler.stack_assign_if_linked(radial_roughness_in),
-                                           compiler.closure_mix_weight_offset()),
-                    /* The rest are stored as unsigned integers */
-                    __float_as_uint(roughness),
-                    __float_as_uint(radial_roughness));
-
-  compiler.add_node(compiler.stack_assign_if_linked(input("Normal")),
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(offset_in),
-                                           compiler.stack_assign_if_linked(ior_in),
-                                           color_ofs,
-                                           parametrization),
-                    __float_as_uint(offset),
-                    __float_as_uint(ior));
-
-  compiler.add_node(compiler.encode_uchar4(compiler.stack_assign_if_linked(coat_in),
-                                           compiler.stack_assign_if_linked(melanin_in),
-                                           compiler.stack_assign_if_linked(melanin_redness_in),
-                                           absorption_coefficient_ofs),
-                    __float_as_uint(coat),
-                    __float_as_uint(melanin),
-                    __float_as_uint(melanin_redness));
-
-  compiler.add_node(compiler.encode_uchar4(tint_ofs,
-                                           compiler.stack_assign_if_linked(random_in),
-                                           compiler.stack_assign_if_linked(random_color_in),
-                                           compiler.stack_assign_if_linked(random_roughness_in)),
-                    __float_as_uint(random),
-                    __float_as_uint(random_color),
-                    __float_as_uint(random_roughness));
-
-  compiler.add_node(
-      compiler.encode_uchar4(
-          SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID),
-      attr_random,
-      SVM_STACK_INVALID,
-      SVM_STACK_INVALID);
-}
-
-/* Prepares the input data for the OSL shader. */
-void PrincipledHairBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "parametrization");
-  compiler.add(this, "node_principled_hair_bsdf");
-}
-
-/* Hair BSDF Closure */
-
-NODE_DEFINE(HairBsdfNode)
-{
-  NodeType *type = NodeType::add("hair_bsdf", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
-
-  static NodeEnum component_enum;
-  component_enum.insert("reflection", CLOSURE_BSDF_HAIR_REFLECTION_ID);
-  component_enum.insert("transmission", CLOSURE_BSDF_HAIR_TRANSMISSION_ID);
-  SOCKET_ENUM(component, "Component", component_enum, CLOSURE_BSDF_HAIR_REFLECTION_ID);
-  SOCKET_IN_FLOAT(offset, "Offset", 0.0f);
-  SOCKET_IN_FLOAT(roughness_u, "RoughnessU", 0.2f);
-  SOCKET_IN_FLOAT(roughness_v, "RoughnessV", 0.2f);
-  SOCKET_IN_VECTOR(tangent, "Tangent", zero_float3());
-
-  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
-
-  return type;
-}
-
-HairBsdfNode::HairBsdfNode() : BsdfNode(get_node_type())
-{
-  closure = CLOSURE_BSDF_HAIR_REFLECTION_ID;
-}
-
-void HairBsdfNode::compile(SVMCompiler &compiler)
-{
-  closure = component;
-
-  BsdfNode::compile(compiler, input("RoughnessU"), input("RoughnessV"), input("Offset"));
-}
-
-void HairBsdfNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "component");
-  compiler.add(this, "node_hair_bsdf");
-}
-
-/* Geometry */
-
-NODE_DEFINE(GeometryNode)
-{
-  NodeType *type = NodeType::add("geometry", create, NodeType::SHADER);
-
-  SOCKET_IN_NORMAL(
-      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
-
-  SOCKET_OUT_POINT(position, "Position");
-  SOCKET_OUT_NORMAL(normal, "Normal");
-  SOCKET_OUT_NORMAL(tangent, "Tangent");
-  SOCKET_OUT_NORMAL(true_normal, "True Normal");
-  SOCKET_OUT_VECTOR(incoming, "Incoming");
-  SOCKET_OUT_POINT(parametric, "Parametric");
-  SOCKET_OUT_FLOAT(backfacing, "Backfacing");
-  SOCKET_OUT_FLOAT(pointiness, "Pointiness");
-  SOCKET_OUT_FLOAT(random_per_island, "Random Per Island");
-
-  return type;
-}
-
-GeometryNode::GeometryNode() : ShaderNode(get_node_type())
-{
-  special_type = SHADER_SPECIAL_TYPE_GEOMETRY;
-}
-
-void GeometryNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link()) {
-    if (!output("Tangent")->links.empty()) {
-      attributes->add(ATTR_STD_GENERATED);
-    }
-    if (!output("Pointiness")->links.empty()) {
-      attributes->add(ATTR_STD_POINTINESS);
-    }
-    if (!output("Random Per Island")->links.empty()) {
-      attributes->add(ATTR_STD_RANDOM_PER_ISLAND);
-    }
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void GeometryNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *out;
-  ShaderNodeType geom_node = NODE_GEOMETRY;
-  ShaderNodeType attr_node = NODE_ATTR;
-
-  if (bump == SHADER_BUMP_DX) {
-    geom_node = NODE_GEOMETRY_BUMP_DX;
-    attr_node = NODE_ATTR_BUMP_DX;
-  }
-  else if (bump == SHADER_BUMP_DY) {
-    geom_node = NODE_GEOMETRY_BUMP_DY;
-    attr_node = NODE_ATTR_BUMP_DY;
-  }
-
-  out = output("Position");
-  if (!out->links.empty()) {
-    compiler.add_node(geom_node, NODE_GEOM_P, compiler.stack_assign(out));
-  }
-
-  out = output("Normal");
-  if (!out->links.empty()) {
-    compiler.add_node(geom_node, NODE_GEOM_N, compiler.stack_assign(out));
-  }
-
-  out = output("Tangent");
-  if (!out->links.empty()) {
-    compiler.add_node(geom_node, NODE_GEOM_T, compiler.stack_assign(out));
-  }
-
-  out = output("True Normal");
-  if (!out->links.empty()) {
-    compiler.add_node(geom_node, NODE_GEOM_Ng, compiler.stack_assign(out));
-  }
-
-  out = output("Incoming");
-  if (!out->links.empty()) {
-    compiler.add_node(geom_node, NODE_GEOM_I, compiler.stack_assign(out));
-  }
-
-  out = output("Parametric");
-  if (!out->links.empty()) {
-    compiler.add_node(geom_node, NODE_GEOM_uv, compiler.stack_assign(out));
-  }
-
-  out = output("Backfacing");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_backfacing, compiler.stack_assign(out));
-  }
-
-  out = output("Pointiness");
-  if (!out->links.empty()) {
-    if (compiler.output_type() != SHADER_TYPE_VOLUME) {
-      compiler.add_node(
-          attr_node, ATTR_STD_POINTINESS, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
-    }
-    else {
-      compiler.add_node(NODE_VALUE_F, __float_as_int(0.0f), compiler.stack_assign(out));
-    }
-  }
-
-  out = output("Random Per Island");
-  if (!out->links.empty()) {
-    if (compiler.output_type() != SHADER_TYPE_VOLUME) {
-      compiler.add_node(attr_node,
-                        ATTR_STD_RANDOM_PER_ISLAND,
-                        compiler.stack_assign(out),
-                        NODE_ATTR_OUTPUT_FLOAT);
-    }
-    else {
-      compiler.add_node(NODE_VALUE_F, __float_as_int(0.0f), compiler.stack_assign(out));
-    }
-  }
-}
-
-void GeometryNode::compile(OSLCompiler &compiler)
-{
-  if (bump == SHADER_BUMP_DX)
-    compiler.parameter("bump_offset", "dx");
-  else if (bump == SHADER_BUMP_DY)
-    compiler.parameter("bump_offset", "dy");
-  else
-    compiler.parameter("bump_offset", "center");
-
-  compiler.add(this, "node_geometry");
-}
-
-/* TextureCoordinate */
-
-NODE_DEFINE(TextureCoordinateNode)
-{
-  NodeType *type = NodeType::add("texture_coordinate", create, NodeType::SHADER);
-
-  SOCKET_BOOLEAN(from_dupli, "From Dupli", false);
-  SOCKET_BOOLEAN(use_transform, "Use Transform", false);
-  SOCKET_TRANSFORM(ob_tfm, "Object Transform", transform_identity());
-
-  SOCKET_IN_NORMAL(
-      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
-
-  SOCKET_OUT_POINT(generated, "Generated");
-  SOCKET_OUT_NORMAL(normal, "Normal");
-  SOCKET_OUT_POINT(UV, "UV");
-  SOCKET_OUT_POINT(object, "Object");
-  SOCKET_OUT_POINT(camera, "Camera");
-  SOCKET_OUT_POINT(window, "Window");
-  SOCKET_OUT_NORMAL(reflection, "Reflection");
-
-  return type;
-}
-
-TextureCoordinateNode::TextureCoordinateNode() : ShaderNode(get_node_type())
-{
-}
-
-void TextureCoordinateNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link()) {
-    if (!from_dupli) {
-      if (!output("Generated")->links.empty())
-        attributes->add(ATTR_STD_GENERATED);
-      if (!output("UV")->links.empty())
-        attributes->add(ATTR_STD_UV);
-    }
-  }
-
-  if (shader->has_volume) {
-    if (!from_dupli) {
-      if (!output("Generated")->links.empty()) {
-        attributes->add(ATTR_STD_GENERATED_TRANSFORM);
-      }
-    }
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void TextureCoordinateNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *out;
-  ShaderNodeType texco_node = NODE_TEX_COORD;
-  ShaderNodeType attr_node = NODE_ATTR;
-  ShaderNodeType geom_node = NODE_GEOMETRY;
-
-  if (bump == SHADER_BUMP_DX) {
-    texco_node = NODE_TEX_COORD_BUMP_DX;
-    attr_node = NODE_ATTR_BUMP_DX;
-    geom_node = NODE_GEOMETRY_BUMP_DX;
-  }
-  else if (bump == SHADER_BUMP_DY) {
-    texco_node = NODE_TEX_COORD_BUMP_DY;
-    attr_node = NODE_ATTR_BUMP_DY;
-    geom_node = NODE_GEOMETRY_BUMP_DY;
-  }
-
-  out = output("Generated");
-  if (!out->links.empty()) {
-    if (compiler.background) {
-      compiler.add_node(geom_node, NODE_GEOM_P, compiler.stack_assign(out));
-    }
-    else {
-      if (from_dupli) {
-        compiler.add_node(texco_node, NODE_TEXCO_DUPLI_GENERATED, compiler.stack_assign(out));
-      }
-      else if (compiler.output_type() == SHADER_TYPE_VOLUME) {
-        compiler.add_node(texco_node, NODE_TEXCO_VOLUME_GENERATED, compiler.stack_assign(out));
-      }
-      else {
-        int attr = compiler.attribute(ATTR_STD_GENERATED);
-        compiler.add_node(attr_node, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT3);
-      }
-    }
-  }
-
-  out = output("Normal");
-  if (!out->links.empty()) {
-    compiler.add_node(texco_node, NODE_TEXCO_NORMAL, compiler.stack_assign(out));
-  }
-
-  out = output("UV");
-  if (!out->links.empty()) {
-    if (from_dupli) {
-      compiler.add_node(texco_node, NODE_TEXCO_DUPLI_UV, compiler.stack_assign(out));
-    }
-    else {
-      int attr = compiler.attribute(ATTR_STD_UV);
-      compiler.add_node(attr_node, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT3);
-    }
-  }
-
-  out = output("Object");
-  if (!out->links.empty()) {
-    compiler.add_node(texco_node, NODE_TEXCO_OBJECT, compiler.stack_assign(out), use_transform);
-    if (use_transform) {
-      Transform ob_itfm = transform_inverse(ob_tfm);
-      compiler.add_node(ob_itfm.x);
-      compiler.add_node(ob_itfm.y);
-      compiler.add_node(ob_itfm.z);
-    }
-  }
-
-  out = output("Camera");
-  if (!out->links.empty()) {
-    compiler.add_node(texco_node, NODE_TEXCO_CAMERA, compiler.stack_assign(out));
-  }
-
-  out = output("Window");
-  if (!out->links.empty()) {
-    compiler.add_node(texco_node, NODE_TEXCO_WINDOW, compiler.stack_assign(out));
-  }
-
-  out = output("Reflection");
-  if (!out->links.empty()) {
-    if (compiler.background) {
-      compiler.add_node(geom_node, NODE_GEOM_I, compiler.stack_assign(out));
-    }
-    else {
-      compiler.add_node(texco_node, NODE_TEXCO_REFLECTION, compiler.stack_assign(out));
-    }
-  }
-}
-
-void TextureCoordinateNode::compile(OSLCompiler &compiler)
-{
-  if (bump == SHADER_BUMP_DX)
-    compiler.parameter("bump_offset", "dx");
-  else if (bump == SHADER_BUMP_DY)
-    compiler.parameter("bump_offset", "dy");
-  else
-    compiler.parameter("bump_offset", "center");
-
-  if (compiler.background)
-    compiler.parameter("is_background", true);
-  if (compiler.output_type() == SHADER_TYPE_VOLUME)
-    compiler.parameter("is_volume", true);
-  compiler.parameter(this, "use_transform");
-  Transform ob_itfm = transform_inverse(ob_tfm);
-  compiler.parameter("object_itfm", ob_itfm);
-
-  compiler.parameter(this, "from_dupli");
-
-  compiler.add(this, "node_texture_coordinate");
-}
-
-/* UV Map */
-
-NODE_DEFINE(UVMapNode)
-{
-  NodeType *type = NodeType::add("uvmap", create, NodeType::SHADER);
-
-  SOCKET_STRING(attribute, "attribute", ustring());
-  SOCKET_IN_BOOLEAN(from_dupli, "from dupli", false);
-
-  SOCKET_OUT_POINT(UV, "UV");
-
-  return type;
-}
-
-UVMapNode::UVMapNode() : ShaderNode(get_node_type())
-{
-}
-
-void UVMapNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface) {
-    if (!from_dupli) {
-      if (!output("UV")->links.empty()) {
-        if (attribute != "")
-          attributes->add(attribute);
-        else
-          attributes->add(ATTR_STD_UV);
-      }
-    }
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void UVMapNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *out = output("UV");
-  ShaderNodeType texco_node = NODE_TEX_COORD;
-  ShaderNodeType attr_node = NODE_ATTR;
-  int attr;
-
-  if (bump == SHADER_BUMP_DX) {
-    texco_node = NODE_TEX_COORD_BUMP_DX;
-    attr_node = NODE_ATTR_BUMP_DX;
-  }
-  else if (bump == SHADER_BUMP_DY) {
-    texco_node = NODE_TEX_COORD_BUMP_DY;
-    attr_node = NODE_ATTR_BUMP_DY;
-  }
-
-  if (!out->links.empty()) {
-    if (from_dupli) {
-      compiler.add_node(texco_node, NODE_TEXCO_DUPLI_UV, compiler.stack_assign(out));
-    }
-    else {
-      if (attribute != "")
-        attr = compiler.attribute(attribute);
-      else
-        attr = compiler.attribute(ATTR_STD_UV);
-
-      compiler.add_node(attr_node, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT3);
-    }
-  }
-}
-
-void UVMapNode::compile(OSLCompiler &compiler)
-{
-  if (bump == SHADER_BUMP_DX)
-    compiler.parameter("bump_offset", "dx");
-  else if (bump == SHADER_BUMP_DY)
-    compiler.parameter("bump_offset", "dy");
-  else
-    compiler.parameter("bump_offset", "center");
-
-  compiler.parameter(this, "from_dupli");
-  compiler.parameter(this, "attribute");
-  compiler.add(this, "node_uv_map");
-}
-
-/* Light Path */
-
-NODE_DEFINE(LightPathNode)
-{
-  NodeType *type = NodeType::add("light_path", create, NodeType::SHADER);
-
-  SOCKET_OUT_FLOAT(is_camera_ray, "Is Camera Ray");
-  SOCKET_OUT_FLOAT(is_shadow_ray, "Is Shadow Ray");
-  SOCKET_OUT_FLOAT(is_diffuse_ray, "Is Diffuse Ray");
-  SOCKET_OUT_FLOAT(is_glossy_ray, "Is Glossy Ray");
-  SOCKET_OUT_FLOAT(is_singular_ray, "Is Singular Ray");
-  SOCKET_OUT_FLOAT(is_reflection_ray, "Is Reflection Ray");
-  SOCKET_OUT_FLOAT(is_transmission_ray, "Is Transmission Ray");
-  SOCKET_OUT_FLOAT(is_volume_scatter_ray, "Is Volume Scatter Ray");
-  SOCKET_OUT_FLOAT(ray_length, "Ray Length");
-  SOCKET_OUT_FLOAT(ray_depth, "Ray Depth");
-  SOCKET_OUT_FLOAT(diffuse_depth, "Diffuse Depth");
-  SOCKET_OUT_FLOAT(glossy_depth, "Glossy Depth");
-  SOCKET_OUT_FLOAT(transparent_depth, "Transparent Depth");
-  SOCKET_OUT_FLOAT(transmission_depth, "Transmission Depth");
-
-  return type;
-}
-
-LightPathNode::LightPathNode() : ShaderNode(get_node_type())
-{
-}
-
-void LightPathNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *out;
-
-  out = output("Is Camera Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_camera, compiler.stack_assign(out));
-  }
-
-  out = output("Is Shadow Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_shadow, compiler.stack_assign(out));
-  }
-
-  out = output("Is Diffuse Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_diffuse, compiler.stack_assign(out));
-  }
-
-  out = output("Is Glossy Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_glossy, compiler.stack_assign(out));
-  }
-
-  out = output("Is Singular Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_singular, compiler.stack_assign(out));
-  }
-
-  out = output("Is Reflection Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_reflection, compiler.stack_assign(out));
-  }
-
-  out = output("Is Transmission Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_transmission, compiler.stack_assign(out));
-  }
-
-  out = output("Is Volume Scatter Ray");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_volume_scatter, compiler.stack_assign(out));
-  }
-
-  out = output("Ray Length");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_length, compiler.stack_assign(out));
-  }
-
-  out = output("Ray Depth");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_depth, compiler.stack_assign(out));
-  }
-
-  out = output("Diffuse Depth");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_diffuse, compiler.stack_assign(out));
-  }
-
-  out = output("Glossy Depth");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_glossy, compiler.stack_assign(out));
-  }
-
-  out = output("Transparent Depth");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_transparent, compiler.stack_assign(out));
-  }
-
-  out = output("Transmission Depth");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_transmission, compiler.stack_assign(out));
-  }
-}
-
-void LightPathNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_light_path");
-}
-
-/* Light Falloff */
-
-NODE_DEFINE(LightFalloffNode)
-{
-  NodeType *type = NodeType::add("light_falloff", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(strength, "Strength", 100.0f);
-  SOCKET_IN_FLOAT(smooth, "Smooth", 0.0f);
-
-  SOCKET_OUT_FLOAT(quadratic, "Quadratic");
-  SOCKET_OUT_FLOAT(linear, "Linear");
-  SOCKET_OUT_FLOAT(constant, "Constant");
-
-  return type;
-}
-
-LightFalloffNode::LightFalloffNode() : ShaderNode(get_node_type())
-{
-}
-
-void LightFalloffNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *strength_in = input("Strength");
-  ShaderInput *smooth_in = input("Smooth");
-
-  ShaderOutput *out = output("Quadratic");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_FALLOFF,
-                      NODE_LIGHT_FALLOFF_QUADRATIC,
-                      compiler.encode_uchar4(compiler.stack_assign(strength_in),
-                                             compiler.stack_assign(smooth_in),
-                                             compiler.stack_assign(out)));
-  }
-
-  out = output("Linear");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_FALLOFF,
-                      NODE_LIGHT_FALLOFF_LINEAR,
-                      compiler.encode_uchar4(compiler.stack_assign(strength_in),
-                                             compiler.stack_assign(smooth_in),
-                                             compiler.stack_assign(out)));
-  }
-
-  out = output("Constant");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_LIGHT_FALLOFF,
-                      NODE_LIGHT_FALLOFF_CONSTANT,
-                      compiler.encode_uchar4(compiler.stack_assign(strength_in),
-                                             compiler.stack_assign(smooth_in),
-                                             compiler.stack_assign(out)));
-  }
-}
-
-void LightFalloffNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_light_falloff");
-}
-
-/* Object Info */
-
-NODE_DEFINE(ObjectInfoNode)
-{
-  NodeType *type = NodeType::add("object_info", create, NodeType::SHADER);
-
-  SOCKET_OUT_VECTOR(location, "Location");
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(object_index, "Object Index");
-  SOCKET_OUT_FLOAT(material_index, "Material Index");
-  SOCKET_OUT_FLOAT(random, "Random");
-
-  return type;
-}
-
-ObjectInfoNode::ObjectInfoNode() : ShaderNode(get_node_type())
-{
-}
-
-void ObjectInfoNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *out = output("Location");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_LOCATION, compiler.stack_assign(out));
-  }
-
-  out = output("Color");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_COLOR, compiler.stack_assign(out));
-  }
-
-  out = output("Object Index");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_INDEX, compiler.stack_assign(out));
-  }
-
-  out = output("Material Index");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_MAT_INDEX, compiler.stack_assign(out));
-  }
-
-  out = output("Random");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_RANDOM, compiler.stack_assign(out));
-  }
-}
-
-void ObjectInfoNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_object_info");
-}
-
-/* Particle Info */
-
-NODE_DEFINE(ParticleInfoNode)
-{
-  NodeType *type = NodeType::add("particle_info", create, NodeType::SHADER);
-
-  SOCKET_OUT_FLOAT(index, "Index");
-  SOCKET_OUT_FLOAT(random, "Random");
-  SOCKET_OUT_FLOAT(age, "Age");
-  SOCKET_OUT_FLOAT(lifetime, "Lifetime");
-  SOCKET_OUT_POINT(location, "Location");
-#if 0 /* not yet supported */
-  SOCKET_OUT_QUATERNION(rotation, "Rotation");
-#endif
-  SOCKET_OUT_FLOAT(size, "Size");
-  SOCKET_OUT_VECTOR(velocity, "Velocity");
-  SOCKET_OUT_VECTOR(angular_velocity, "Angular Velocity");
-
-  return type;
-}
-
-ParticleInfoNode::ParticleInfoNode() : ShaderNode(get_node_type())
-{
-}
-
-void ParticleInfoNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (!output("Index")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-  if (!output("Random")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-  if (!output("Age")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-  if (!output("Lifetime")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-  if (!output("Location")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-#if 0 /* not yet supported */
-  if (!output("Rotation")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-#endif
-  if (!output("Size")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-  if (!output("Velocity")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-  if (!output("Angular Velocity")->links.empty())
-    attributes->add(ATTR_STD_PARTICLE);
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void ParticleInfoNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *out;
-
-  out = output("Index");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_INDEX, compiler.stack_assign(out));
-  }
-
-  out = output("Random");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_RANDOM, compiler.stack_assign(out));
-  }
-
-  out = output("Age");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_AGE, compiler.stack_assign(out));
-  }
-
-  out = output("Lifetime");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_LIFETIME, compiler.stack_assign(out));
-  }
-
-  out = output("Location");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_LOCATION, compiler.stack_assign(out));
-  }
-
-  /* quaternion data is not yet supported by Cycles */
-#if 0
-  out = output("Rotation");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_ROTATION, compiler.stack_assign(out));
-  }
-#endif
-
-  out = output("Size");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_SIZE, compiler.stack_assign(out));
-  }
-
-  out = output("Velocity");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_VELOCITY, compiler.stack_assign(out));
-  }
-
-  out = output("Angular Velocity");
-  if (!out->links.empty()) {
-    compiler.add_node(
-        NODE_PARTICLE_INFO, NODE_INFO_PAR_ANGULAR_VELOCITY, compiler.stack_assign(out));
-  }
-}
-
-void ParticleInfoNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_particle_info");
-}
-
-/* Hair Info */
-
-NODE_DEFINE(HairInfoNode)
-{
-  NodeType *type = NodeType::add("hair_info", create, NodeType::SHADER);
-
-  SOCKET_OUT_FLOAT(is_strand, "Is Strand");
-  SOCKET_OUT_FLOAT(intercept, "Intercept");
-  SOCKET_OUT_FLOAT(size, "Length");
-  SOCKET_OUT_FLOAT(thickness, "Thickness");
-  SOCKET_OUT_NORMAL(tangent_normal, "Tangent Normal");
-#if 0 /* Output for minimum hair width transparency - deactivated. */
-  SOCKET_OUT_FLOAT(fade, "Fade");
-#endif
-  SOCKET_OUT_FLOAT(index, "Random");
-
-  return type;
-}
-
-HairInfoNode::HairInfoNode() : ShaderNode(get_node_type())
-{
-}
-
-void HairInfoNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link()) {
-    ShaderOutput *intercept_out = output("Intercept");
-
-    if (!intercept_out->links.empty())
-      attributes->add(ATTR_STD_CURVE_INTERCEPT);
-
-    if (!output("Length")->links.empty())
-      attributes->add(ATTR_STD_CURVE_LENGTH);
-
-    if (!output("Random")->links.empty())
-      attributes->add(ATTR_STD_CURVE_RANDOM);
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void HairInfoNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *out;
-
-  out = output("Is Strand");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_IS_STRAND, compiler.stack_assign(out));
-  }
-
-  out = output("Intercept");
-  if (!out->links.empty()) {
-    int attr = compiler.attribute(ATTR_STD_CURVE_INTERCEPT);
-    compiler.add_node(NODE_ATTR, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
-  }
-
-  out = output("Length");
-  if (!out->links.empty()) {
-    int attr = compiler.attribute(ATTR_STD_CURVE_LENGTH);
-    compiler.add_node(NODE_ATTR, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
-  }
-
-  out = output("Thickness");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_THICKNESS, compiler.stack_assign(out));
-  }
-
-  out = output("Tangent Normal");
-  if (!out->links.empty()) {
-    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_TANGENT_NORMAL, compiler.stack_assign(out));
-  }
-#if 0
-  out = output("Fade");
-  if(!out->links.empty()) {
-    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_FADE, compiler.stack_assign(out));
-  }
-#endif
-  out = output("Random");
-  if (!out->links.empty()) {
-    int attr = compiler.attribute(ATTR_STD_CURVE_RANDOM);
-    compiler.add_node(NODE_ATTR, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
-  }
-}
-
-void HairInfoNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_hair_info");
-}
-
-/* Volume Info */
-
-NODE_DEFINE(VolumeInfoNode)
-{
-  NodeType *type = NodeType::add("volume_info", create, NodeType::SHADER);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(density, "Density");
-  SOCKET_OUT_FLOAT(flame, "Flame");
-  SOCKET_OUT_FLOAT(temperature, "Temperature");
-
-  return type;
-}
-
-VolumeInfoNode::VolumeInfoNode() : ShaderNode(get_node_type())
-{
-}
-
-/* The requested attributes are not updated after node expansion.
- * So we explicitly request the required attributes.
- */
-void VolumeInfoNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_volume) {
-    if (!output("Color")->links.empty()) {
-      attributes->add(ATTR_STD_VOLUME_COLOR);
-    }
-    if (!output("Density")->links.empty()) {
-      attributes->add(ATTR_STD_VOLUME_DENSITY);
-    }
-    if (!output("Flame")->links.empty()) {
-      attributes->add(ATTR_STD_VOLUME_FLAME);
-    }
-    if (!output("Temperature")->links.empty()) {
-      attributes->add(ATTR_STD_VOLUME_TEMPERATURE);
-    }
-    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
-  }
-  ShaderNode::attributes(shader, attributes);
-}
-
-void VolumeInfoNode::expand(ShaderGraph *graph)
-{
-  ShaderOutput *color_out = output("Color");
-  if (!color_out->links.empty()) {
-    AttributeNode *attr = graph->create_node<AttributeNode>();
-    attr->set_attribute(ustring("color"));
-    graph->add(attr);
-    graph->relink(color_out, attr->output("Color"));
-  }
-
-  ShaderOutput *density_out = output("Density");
-  if (!density_out->links.empty()) {
-    AttributeNode *attr = graph->create_node<AttributeNode>();
-    attr->set_attribute(ustring("density"));
-    graph->add(attr);
-    graph->relink(density_out, attr->output("Fac"));
-  }
-
-  ShaderOutput *flame_out = output("Flame");
-  if (!flame_out->links.empty()) {
-    AttributeNode *attr = graph->create_node<AttributeNode>();
-    attr->set_attribute(ustring("flame"));
-    graph->add(attr);
-    graph->relink(flame_out, attr->output("Fac"));
-  }
-
-  ShaderOutput *temperature_out = output("Temperature");
-  if (!temperature_out->links.empty()) {
-    AttributeNode *attr = graph->create_node<AttributeNode>();
-    attr->set_attribute(ustring("temperature"));
-    graph->add(attr);
-    graph->relink(temperature_out, attr->output("Fac"));
-  }
-}
-
-void VolumeInfoNode::compile(SVMCompiler &)
-{
-}
-
-void VolumeInfoNode::compile(OSLCompiler &)
-{
-}
-
-NODE_DEFINE(VertexColorNode)
-{
-  NodeType *type = NodeType::add("vertex_color", create, NodeType::SHADER);
-
-  SOCKET_STRING(layer_name, "Layer Name", ustring());
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(alpha, "Alpha");
-
-  return type;
-}
-
-VertexColorNode::VertexColorNode() : ShaderNode(get_node_type())
-{
-}
-
-void VertexColorNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (!(output("Color")->links.empty() && output("Alpha")->links.empty())) {
-    if (layer_name != "")
-      attributes->add_standard(layer_name);
-    else
-      attributes->add(ATTR_STD_VERTEX_COLOR);
-  }
-  ShaderNode::attributes(shader, attributes);
-}
-
-void VertexColorNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *alpha_out = output("Alpha");
-  int layer_id = 0;
-
-  if (layer_name != "") {
-    layer_id = compiler.attribute(layer_name);
-  }
-  else {
-    layer_id = compiler.attribute(ATTR_STD_VERTEX_COLOR);
-  }
-
-  ShaderNodeType node;
-
-  if (bump == SHADER_BUMP_DX)
-    node = NODE_VERTEX_COLOR_BUMP_DX;
-  else if (bump == SHADER_BUMP_DY)
-    node = NODE_VERTEX_COLOR_BUMP_DY;
-  else {
-    node = NODE_VERTEX_COLOR;
-  }
-
-  compiler.add_node(
-      node, layer_id, compiler.stack_assign(color_out), compiler.stack_assign(alpha_out));
-}
-
-void VertexColorNode::compile(OSLCompiler &compiler)
-{
-  if (bump == SHADER_BUMP_DX) {
-    compiler.parameter("bump_offset", "dx");
-  }
-  else if (bump == SHADER_BUMP_DY) {
-    compiler.parameter("bump_offset", "dy");
-  }
-  else {
-    compiler.parameter("bump_offset", "center");
-  }
-
-  if (layer_name.empty()) {
-    compiler.parameter("layer_name", ustring("geom:vertex_color"));
-  }
-  else {
-    if (Attribute::name_standard(layer_name.c_str()) != ATTR_STD_NONE) {
-      compiler.parameter("name", (string("geom:") + layer_name.c_str()).c_str());
-    }
-    else {
-      compiler.parameter("layer_name", layer_name.c_str());
-    }
-  }
-
-  compiler.add(this, "node_vertex_color");
-}
-
-/* Value */
-
-NODE_DEFINE(ValueNode)
-{
-  NodeType *type = NodeType::add("value", create, NodeType::SHADER);
-
-  SOCKET_FLOAT(value, "Value", 0.0f);
-  SOCKET_OUT_FLOAT(value, "Value");
-
-  return type;
-}
-
-ValueNode::ValueNode() : ShaderNode(get_node_type())
-{
-}
-
-void ValueNode::constant_fold(const ConstantFolder &folder)
-{
-  folder.make_constant(value);
-}
-
-void ValueNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *val_out = output("Value");
-
-  compiler.add_node(NODE_VALUE_F, __float_as_int(value), compiler.stack_assign(val_out));
-}
-
-void ValueNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter("value_value", value);
-  compiler.add(this, "node_value");
-}
-
-/* Color */
-
-NODE_DEFINE(ColorNode)
-{
-  NodeType *type = NodeType::add("color", create, NodeType::SHADER);
-
-  SOCKET_COLOR(value, "Value", zero_float3());
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-ColorNode::ColorNode() : ShaderNode(get_node_type())
-{
-}
-
-void ColorNode::constant_fold(const ConstantFolder &folder)
-{
-  folder.make_constant(value);
-}
-
-void ColorNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *color_out = output("Color");
-
-  if (!color_out->links.empty()) {
-    compiler.add_node(NODE_VALUE_V, compiler.stack_assign(color_out));
-    compiler.add_node(NODE_VALUE_V, value);
-  }
-}
-
-void ColorNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter_color("color_value", value);
-
-  compiler.add(this, "node_value");
-}
-
-/* Add Closure */
-
-NODE_DEFINE(AddClosureNode)
-{
-  NodeType *type = NodeType::add("add_closure", create, NodeType::SHADER);
-
-  SOCKET_IN_CLOSURE(closure1, "Closure1");
-  SOCKET_IN_CLOSURE(closure2, "Closure2");
-  SOCKET_OUT_CLOSURE(closure, "Closure");
-
-  return type;
-}
-
-AddClosureNode::AddClosureNode() : ShaderNode(get_node_type())
-{
-  special_type = SHADER_SPECIAL_TYPE_COMBINE_CLOSURE;
-}
-
-void AddClosureNode::compile(SVMCompiler & /*compiler*/)
-{
-  /* handled in the SVM compiler */
-}
-
-void AddClosureNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_add_closure");
-}
-
-void AddClosureNode::constant_fold(const ConstantFolder &folder)
-{
-  ShaderInput *closure1_in = input("Closure1");
-  ShaderInput *closure2_in = input("Closure2");
-
-  /* remove useless add closures nodes */
-  if (!closure1_in->link) {
-    folder.bypass_or_discard(closure2_in);
-  }
-  else if (!closure2_in->link) {
-    folder.bypass_or_discard(closure1_in);
-  }
-}
-
-/* Mix Closure */
-
-NODE_DEFINE(MixClosureNode)
-{
-  NodeType *type = NodeType::add("mix_closure", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(fac, "Fac", 0.5f);
-  SOCKET_IN_CLOSURE(closure1, "Closure1");
-  SOCKET_IN_CLOSURE(closure2, "Closure2");
-
-  SOCKET_OUT_CLOSURE(closure, "Closure");
-
-  return type;
-}
-
-MixClosureNode::MixClosureNode() : ShaderNode(get_node_type())
-{
-  special_type = SHADER_SPECIAL_TYPE_COMBINE_CLOSURE;
-}
-
-void MixClosureNode::compile(SVMCompiler & /*compiler*/)
-{
-  /* handled in the SVM compiler */
-}
-
-void MixClosureNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_mix_closure");
-}
-
-void MixClosureNode::constant_fold(const ConstantFolder &folder)
-{
-  ShaderInput *fac_in = input("Fac");
-  ShaderInput *closure1_in = input("Closure1");
-  ShaderInput *closure2_in = input("Closure2");
-
-  /* remove useless mix closures nodes */
-  if (closure1_in->link == closure2_in->link) {
-    folder.bypass_or_discard(closure1_in);
-  }
-  /* remove unused mix closure input when factor is 0.0 or 1.0
-   * check for closure links and make sure factor link is disconnected */
-  else if (!fac_in->link) {
-    /* factor 0.0 */
-    if (fac <= 0.0f) {
-      folder.bypass_or_discard(closure1_in);
-    }
-    /* factor 1.0 */
-    else if (fac >= 1.0f) {
-      folder.bypass_or_discard(closure2_in);
-    }
-  }
-}
-
-/* Mix Closure */
-
-NODE_DEFINE(MixClosureWeightNode)
-{
-  NodeType *type = NodeType::add("mix_closure_weight", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(weight, "Weight", 1.0f);
-  SOCKET_IN_FLOAT(fac, "Fac", 1.0f);
-
-  SOCKET_OUT_FLOAT(weight1, "Weight1");
-  SOCKET_OUT_FLOAT(weight2, "Weight2");
-
-  return type;
-}
-
-MixClosureWeightNode::MixClosureWeightNode() : ShaderNode(get_node_type())
-{
-}
-
-void MixClosureWeightNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *weight_in = input("Weight");
-  ShaderInput *fac_in = input("Fac");
-  ShaderOutput *weight1_out = output("Weight1");
-  ShaderOutput *weight2_out = output("Weight2");
-
-  compiler.add_node(NODE_MIX_CLOSURE,
-                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
-                                           compiler.stack_assign(weight_in),
-                                           compiler.stack_assign(weight1_out),
-                                           compiler.stack_assign(weight2_out)));
-}
-
-void MixClosureWeightNode::compile(OSLCompiler & /*compiler*/)
-{
-  assert(0);
-}
-
-/* Invert */
-
-NODE_DEFINE(InvertNode)
-{
-  NodeType *type = NodeType::add("invert", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(fac, "Fac", 1.0f);
-  SOCKET_IN_COLOR(color, "Color", zero_float3());
-
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-InvertNode::InvertNode() : ShaderNode(get_node_type())
-{
-}
-
-void InvertNode::constant_fold(const ConstantFolder &folder)
-{
-  ShaderInput *fac_in = input("Fac");
-  ShaderInput *color_in = input("Color");
-
-  if (!fac_in->link) {
-    /* evaluate fully constant node */
-    if (!color_in->link) {
-      folder.make_constant(interp(color, one_float3() - color, fac));
-    }
-    /* remove no-op node */
-    else if (fac == 0.0f) {
-      folder.bypass(color_in->link);
-    }
-  }
-}
-
-void InvertNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *fac_in = input("Fac");
-  ShaderInput *color_in = input("Color");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(NODE_INVERT,
-                    compiler.stack_assign(fac_in),
-                    compiler.stack_assign(color_in),
-                    compiler.stack_assign(color_out));
-}
-
-void InvertNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_invert");
-}
-
-/* Mix */
-
-NODE_DEFINE(MixNode)
-{
-  NodeType *type = NodeType::add("mix", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("mix", NODE_MIX_BLEND);
-  type_enum.insert("add", NODE_MIX_ADD);
-  type_enum.insert("multiply", NODE_MIX_MUL);
-  type_enum.insert("screen", NODE_MIX_SCREEN);
-  type_enum.insert("overlay", NODE_MIX_OVERLAY);
-  type_enum.insert("subtract", NODE_MIX_SUB);
-  type_enum.insert("divide", NODE_MIX_DIV);
-  type_enum.insert("difference", NODE_MIX_DIFF);
-  type_enum.insert("darken", NODE_MIX_DARK);
-  type_enum.insert("lighten", NODE_MIX_LIGHT);
-  type_enum.insert("dodge", NODE_MIX_DODGE);
-  type_enum.insert("burn", NODE_MIX_BURN);
-  type_enum.insert("hue", NODE_MIX_HUE);
-  type_enum.insert("saturation", NODE_MIX_SAT);
-  type_enum.insert("value", NODE_MIX_VAL);
-  type_enum.insert("color", NODE_MIX_COLOR);
-  type_enum.insert("soft_light", NODE_MIX_SOFT);
-  type_enum.insert("linear_light", NODE_MIX_LINEAR);
-  SOCKET_ENUM(mix_type, "Type", type_enum, NODE_MIX_BLEND);
-
-  SOCKET_BOOLEAN(use_clamp, "Use Clamp", false);
-
-  SOCKET_IN_FLOAT(fac, "Fac", 0.5f);
-  SOCKET_IN_COLOR(color1, "Color1", zero_float3());
-  SOCKET_IN_COLOR(color2, "Color2", zero_float3());
-
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-MixNode::MixNode() : ShaderNode(get_node_type())
-{
-}
-
-void MixNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *fac_in = input("Fac");
-  ShaderInput *color1_in = input("Color1");
-  ShaderInput *color2_in = input("Color2");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(NODE_MIX,
-                    compiler.stack_assign(fac_in),
-                    compiler.stack_assign(color1_in),
-                    compiler.stack_assign(color2_in));
-  compiler.add_node(NODE_MIX, mix_type, compiler.stack_assign(color_out));
-
-  if (use_clamp) {
-    compiler.add_node(NODE_MIX, 0, compiler.stack_assign(color_out));
-    compiler.add_node(NODE_MIX, NODE_MIX_CLAMP, compiler.stack_assign(color_out));
-  }
-}
-
-void MixNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "mix_type");
-  compiler.parameter(this, "use_clamp");
-  compiler.add(this, "node_mix");
-}
-
-void MixNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant_clamp(svm_mix(mix_type, fac, color1, color2), use_clamp);
-  }
-  else {
-    folder.fold_mix(mix_type, use_clamp);
-  }
-}
-
-/* Combine RGB */
-
-NODE_DEFINE(CombineRGBNode)
-{
-  NodeType *type = NodeType::add("combine_rgb", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(r, "R", 0.0f);
-  SOCKET_IN_FLOAT(g, "G", 0.0f);
-  SOCKET_IN_FLOAT(b, "B", 0.0f);
-
-  SOCKET_OUT_COLOR(image, "Image");
-
-  return type;
-}
-
-CombineRGBNode::CombineRGBNode() : ShaderNode(get_node_type())
-{
-}
-
-void CombineRGBNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant(make_float3(r, g, b));
-  }
-}
-
-void CombineRGBNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *red_in = input("R");
-  ShaderInput *green_in = input("G");
-  ShaderInput *blue_in = input("B");
-  ShaderOutput *color_out = output("Image");
-
-  compiler.add_node(
-      NODE_COMBINE_VECTOR, compiler.stack_assign(red_in), 0, compiler.stack_assign(color_out));
-
-  compiler.add_node(
-      NODE_COMBINE_VECTOR, compiler.stack_assign(green_in), 1, compiler.stack_assign(color_out));
-
-  compiler.add_node(
-      NODE_COMBINE_VECTOR, compiler.stack_assign(blue_in), 2, compiler.stack_assign(color_out));
-}
-
-void CombineRGBNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_combine_rgb");
-}
-
-/* Combine XYZ */
-
-NODE_DEFINE(CombineXYZNode)
-{
-  NodeType *type = NodeType::add("combine_xyz", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(x, "X", 0.0f);
-  SOCKET_IN_FLOAT(y, "Y", 0.0f);
-  SOCKET_IN_FLOAT(z, "Z", 0.0f);
-
-  SOCKET_OUT_VECTOR(vector, "Vector");
-
-  return type;
-}
-
-CombineXYZNode::CombineXYZNode() : ShaderNode(get_node_type())
-{
-}
-
-void CombineXYZNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant(make_float3(x, y, z));
-  }
-}
-
-void CombineXYZNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *x_in = input("X");
-  ShaderInput *y_in = input("Y");
-  ShaderInput *z_in = input("Z");
-  ShaderOutput *vector_out = output("Vector");
-
-  compiler.add_node(
-      NODE_COMBINE_VECTOR, compiler.stack_assign(x_in), 0, compiler.stack_assign(vector_out));
-
-  compiler.add_node(
-      NODE_COMBINE_VECTOR, compiler.stack_assign(y_in), 1, compiler.stack_assign(vector_out));
-
-  compiler.add_node(
-      NODE_COMBINE_VECTOR, compiler.stack_assign(z_in), 2, compiler.stack_assign(vector_out));
-}
-
-void CombineXYZNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_combine_xyz");
-}
-
-/* Combine HSV */
-
-NODE_DEFINE(CombineHSVNode)
-{
-  NodeType *type = NodeType::add("combine_hsv", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(h, "H", 0.0f);
-  SOCKET_IN_FLOAT(s, "S", 0.0f);
-  SOCKET_IN_FLOAT(v, "V", 0.0f);
-
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-CombineHSVNode::CombineHSVNode() : ShaderNode(get_node_type())
-{
-}
-
-void CombineHSVNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant(hsv_to_rgb(make_float3(h, s, v)));
-  }
-}
-
-void CombineHSVNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *hue_in = input("H");
-  ShaderInput *saturation_in = input("S");
-  ShaderInput *value_in = input("V");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(NODE_COMBINE_HSV,
-                    compiler.stack_assign(hue_in),
-                    compiler.stack_assign(saturation_in),
-                    compiler.stack_assign(value_in));
-  compiler.add_node(NODE_COMBINE_HSV, compiler.stack_assign(color_out));
-}
-
-void CombineHSVNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_combine_hsv");
-}
-
-/* Gamma */
-
-NODE_DEFINE(GammaNode)
-{
-  NodeType *type = NodeType::add("gamma", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", zero_float3());
-  SOCKET_IN_FLOAT(gamma, "Gamma", 1.0f);
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-GammaNode::GammaNode() : ShaderNode(get_node_type())
-{
-}
-
-void GammaNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant(svm_math_gamma_color(color, gamma));
-  }
-  else {
-    ShaderInput *color_in = input("Color");
-    ShaderInput *gamma_in = input("Gamma");
-
-    /* 1 ^ X == X ^ 0 == 1 */
-    if (folder.is_one(color_in) || folder.is_zero(gamma_in)) {
-      folder.make_one();
-    }
-    /* X ^ 1 == X */
-    else if (folder.is_one(gamma_in)) {
-      folder.try_bypass_or_make_constant(color_in, false);
-    }
-  }
-}
-
-void GammaNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *gamma_in = input("Gamma");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(NODE_GAMMA,
-                    compiler.stack_assign(gamma_in),
-                    compiler.stack_assign(color_in),
-                    compiler.stack_assign(color_out));
-}
-
-void GammaNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_gamma");
-}
-
-/* Bright Contrast */
-
-NODE_DEFINE(BrightContrastNode)
-{
-  NodeType *type = NodeType::add("brightness_contrast", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", zero_float3());
-  SOCKET_IN_FLOAT(bright, "Bright", 0.0f);
-  SOCKET_IN_FLOAT(contrast, "Contrast", 0.0f);
-
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-BrightContrastNode::BrightContrastNode() : ShaderNode(get_node_type())
-{
-}
-
-void BrightContrastNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant(svm_brightness_contrast(color, bright, contrast));
-  }
-}
-
-void BrightContrastNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *bright_in = input("Bright");
-  ShaderInput *contrast_in = input("Contrast");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(NODE_BRIGHTCONTRAST,
-                    compiler.stack_assign(color_in),
-                    compiler.stack_assign(color_out),
-                    compiler.encode_uchar4(compiler.stack_assign(bright_in),
-                                           compiler.stack_assign(contrast_in)));
-}
-
-void BrightContrastNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_brightness");
-}
-
-/* Separate RGB */
-
-NODE_DEFINE(SeparateRGBNode)
-{
-  NodeType *type = NodeType::add("separate_rgb", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Image", zero_float3());
-
-  SOCKET_OUT_FLOAT(r, "R");
-  SOCKET_OUT_FLOAT(g, "G");
-  SOCKET_OUT_FLOAT(b, "B");
-
-  return type;
-}
-
-SeparateRGBNode::SeparateRGBNode() : ShaderNode(get_node_type())
-{
-}
-
-void SeparateRGBNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    for (int channel = 0; channel < 3; channel++) {
-      if (outputs[channel] == folder.output) {
-        folder.make_constant(color[channel]);
-        return;
-      }
-    }
-  }
-}
-
-void SeparateRGBNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Image");
-  ShaderOutput *red_out = output("R");
-  ShaderOutput *green_out = output("G");
-  ShaderOutput *blue_out = output("B");
-
-  compiler.add_node(
-      NODE_SEPARATE_VECTOR, compiler.stack_assign(color_in), 0, compiler.stack_assign(red_out));
-
-  compiler.add_node(
-      NODE_SEPARATE_VECTOR, compiler.stack_assign(color_in), 1, compiler.stack_assign(green_out));
-
-  compiler.add_node(
-      NODE_SEPARATE_VECTOR, compiler.stack_assign(color_in), 2, compiler.stack_assign(blue_out));
-}
-
-void SeparateRGBNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_separate_rgb");
-}
-
-/* Separate XYZ */
-
-NODE_DEFINE(SeparateXYZNode)
-{
-  NodeType *type = NodeType::add("separate_xyz", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(vector, "Vector", zero_float3());
-
-  SOCKET_OUT_FLOAT(x, "X");
-  SOCKET_OUT_FLOAT(y, "Y");
-  SOCKET_OUT_FLOAT(z, "Z");
-
-  return type;
-}
-
-SeparateXYZNode::SeparateXYZNode() : ShaderNode(get_node_type())
-{
-}
-
-void SeparateXYZNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    for (int channel = 0; channel < 3; channel++) {
-      if (outputs[channel] == folder.output) {
-        folder.make_constant(vector[channel]);
-        return;
-      }
-    }
-  }
-}
-
-void SeparateXYZNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *x_out = output("X");
-  ShaderOutput *y_out = output("Y");
-  ShaderOutput *z_out = output("Z");
-
-  compiler.add_node(
-      NODE_SEPARATE_VECTOR, compiler.stack_assign(vector_in), 0, compiler.stack_assign(x_out));
-
-  compiler.add_node(
-      NODE_SEPARATE_VECTOR, compiler.stack_assign(vector_in), 1, compiler.stack_assign(y_out));
-
-  compiler.add_node(
-      NODE_SEPARATE_VECTOR, compiler.stack_assign(vector_in), 2, compiler.stack_assign(z_out));
-}
-
-void SeparateXYZNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_separate_xyz");
-}
-
-/* Separate HSV */
-
-NODE_DEFINE(SeparateHSVNode)
-{
-  NodeType *type = NodeType::add("separate_hsv", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", zero_float3());
-
-  SOCKET_OUT_FLOAT(h, "H");
-  SOCKET_OUT_FLOAT(s, "S");
-  SOCKET_OUT_FLOAT(v, "V");
-
-  return type;
-}
-
-SeparateHSVNode::SeparateHSVNode() : ShaderNode(get_node_type())
-{
-}
-
-void SeparateHSVNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    float3 hsv = rgb_to_hsv(color);
-
-    for (int channel = 0; channel < 3; channel++) {
-      if (outputs[channel] == folder.output) {
-        folder.make_constant(hsv[channel]);
-        return;
-      }
-    }
-  }
-}
-
-void SeparateHSVNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderOutput *hue_out = output("H");
-  ShaderOutput *saturation_out = output("S");
-  ShaderOutput *value_out = output("V");
-
-  compiler.add_node(NODE_SEPARATE_HSV,
-                    compiler.stack_assign(color_in),
-                    compiler.stack_assign(hue_out),
-                    compiler.stack_assign(saturation_out));
-  compiler.add_node(NODE_SEPARATE_HSV, compiler.stack_assign(value_out));
-}
-
-void SeparateHSVNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_separate_hsv");
-}
-
-/* Hue Saturation Value */
-
-NODE_DEFINE(HSVNode)
-{
-  NodeType *type = NodeType::add("hsv", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(hue, "Hue", 0.5f);
-  SOCKET_IN_FLOAT(saturation, "Saturation", 1.0f);
-  SOCKET_IN_FLOAT(value, "Value", 1.0f);
-  SOCKET_IN_FLOAT(fac, "Fac", 1.0f);
-  SOCKET_IN_COLOR(color, "Color", zero_float3());
-
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-HSVNode::HSVNode() : ShaderNode(get_node_type())
-{
-}
-
-void HSVNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *hue_in = input("Hue");
-  ShaderInput *saturation_in = input("Saturation");
-  ShaderInput *value_in = input("Value");
-  ShaderInput *fac_in = input("Fac");
-  ShaderInput *color_in = input("Color");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(NODE_HSV,
-                    compiler.encode_uchar4(compiler.stack_assign(color_in),
-                                           compiler.stack_assign(fac_in),
-                                           compiler.stack_assign(color_out)),
-                    compiler.encode_uchar4(compiler.stack_assign(hue_in),
-                                           compiler.stack_assign(saturation_in),
-                                           compiler.stack_assign(value_in)));
-}
-
-void HSVNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_hsv");
-}
-
-/* Attribute */
-
-NODE_DEFINE(AttributeNode)
-{
-  NodeType *type = NodeType::add("attribute", create, NodeType::SHADER);
-
-  SOCKET_STRING(attribute, "Attribute", ustring());
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_VECTOR(vector, "Vector");
-  SOCKET_OUT_FLOAT(fac, "Fac");
-  SOCKET_OUT_FLOAT(alpha, "Alpha");
-
-  return type;
-}
-
-AttributeNode::AttributeNode() : ShaderNode(get_node_type())
-{
-}
-
-void AttributeNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *vector_out = output("Vector");
-  ShaderOutput *fac_out = output("Fac");
-  ShaderOutput *alpha_out = output("Alpha");
-
-  if (!color_out->links.empty() || !vector_out->links.empty() || !fac_out->links.empty() ||
-      !alpha_out->links.empty()) {
-    attributes->add_standard(attribute);
-  }
-
-  if (shader->has_volume) {
-    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void AttributeNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *vector_out = output("Vector");
-  ShaderOutput *fac_out = output("Fac");
-  ShaderOutput *alpha_out = output("Alpha");
-  ShaderNodeType attr_node = NODE_ATTR;
-  int attr = compiler.attribute_standard(attribute);
-
-  if (bump == SHADER_BUMP_DX)
-    attr_node = NODE_ATTR_BUMP_DX;
-  else if (bump == SHADER_BUMP_DY)
-    attr_node = NODE_ATTR_BUMP_DY;
-
-  if (!color_out->links.empty() || !vector_out->links.empty()) {
-    if (!color_out->links.empty()) {
-      compiler.add_node(
-          attr_node, attr, compiler.stack_assign(color_out), NODE_ATTR_OUTPUT_FLOAT3);
-    }
-    if (!vector_out->links.empty()) {
-      compiler.add_node(
-          attr_node, attr, compiler.stack_assign(vector_out), NODE_ATTR_OUTPUT_FLOAT3);
-    }
-  }
-
-  if (!fac_out->links.empty()) {
-    compiler.add_node(attr_node, attr, compiler.stack_assign(fac_out), NODE_ATTR_OUTPUT_FLOAT);
-  }
-
-  if (!alpha_out->links.empty()) {
-    compiler.add_node(
-        attr_node, attr, compiler.stack_assign(alpha_out), NODE_ATTR_OUTPUT_FLOAT_ALPHA);
-  }
-}
-
-void AttributeNode::compile(OSLCompiler &compiler)
-{
-  if (bump == SHADER_BUMP_DX)
-    compiler.parameter("bump_offset", "dx");
-  else if (bump == SHADER_BUMP_DY)
-    compiler.parameter("bump_offset", "dy");
-  else
-    compiler.parameter("bump_offset", "center");
-
-  if (Attribute::name_standard(attribute.c_str()) != ATTR_STD_NONE)
-    compiler.parameter("name", (string("geom:") + attribute.c_str()).c_str());
-  else
-    compiler.parameter("name", attribute.c_str());
-
-  compiler.add(this, "node_attribute");
-}
-
-/* Camera */
-
-NODE_DEFINE(CameraNode)
-{
-  NodeType *type = NodeType::add("camera_info", create, NodeType::SHADER);
-
-  SOCKET_OUT_VECTOR(view_vector, "View Vector");
-  SOCKET_OUT_FLOAT(view_z_depth, "View Z Depth");
-  SOCKET_OUT_FLOAT(view_distance, "View Distance");
-
-  return type;
-}
-
-CameraNode::CameraNode() : ShaderNode(get_node_type())
-{
-}
-
-void CameraNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *vector_out = output("View Vector");
-  ShaderOutput *z_depth_out = output("View Z Depth");
-  ShaderOutput *distance_out = output("View Distance");
-
-  compiler.add_node(NODE_CAMERA,
-                    compiler.stack_assign(vector_out),
-                    compiler.stack_assign(z_depth_out),
-                    compiler.stack_assign(distance_out));
-}
-
-void CameraNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_camera");
-}
-
-/* Fresnel */
-
-NODE_DEFINE(FresnelNode)
-{
-  NodeType *type = NodeType::add("fresnel", create, NodeType::SHADER);
-
-  SOCKET_IN_NORMAL(
-      normal, "Normal", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
-  SOCKET_IN_FLOAT(IOR, "IOR", 1.45f);
-
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-FresnelNode::FresnelNode() : ShaderNode(get_node_type())
-{
-}
-
-void FresnelNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *normal_in = input("Normal");
-  ShaderInput *IOR_in = input("IOR");
-  ShaderOutput *fac_out = output("Fac");
-
-  compiler.add_node(NODE_FRESNEL,
-                    compiler.stack_assign(IOR_in),
-                    __float_as_int(IOR),
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(normal_in),
-                                           compiler.stack_assign(fac_out)));
-}
-
-void FresnelNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_fresnel");
-}
-
-/* Layer Weight */
-
-NODE_DEFINE(LayerWeightNode)
-{
-  NodeType *type = NodeType::add("layer_weight", create, NodeType::SHADER);
-
-  SOCKET_IN_NORMAL(
-      normal, "Normal", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
-  SOCKET_IN_FLOAT(blend, "Blend", 0.5f);
-
-  SOCKET_OUT_FLOAT(fresnel, "Fresnel");
-  SOCKET_OUT_FLOAT(facing, "Facing");
-
-  return type;
-}
-
-LayerWeightNode::LayerWeightNode() : ShaderNode(get_node_type())
-{
-}
-
-void LayerWeightNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *normal_in = input("Normal");
-  ShaderInput *blend_in = input("Blend");
-  ShaderOutput *fresnel_out = output("Fresnel");
-  ShaderOutput *facing_out = output("Facing");
-
-  if (!fresnel_out->links.empty()) {
-    compiler.add_node(NODE_LAYER_WEIGHT,
-                      compiler.stack_assign_if_linked(blend_in),
-                      __float_as_int(blend),
-                      compiler.encode_uchar4(NODE_LAYER_WEIGHT_FRESNEL,
-                                             compiler.stack_assign_if_linked(normal_in),
-                                             compiler.stack_assign(fresnel_out)));
-  }
-
-  if (!facing_out->links.empty()) {
-    compiler.add_node(NODE_LAYER_WEIGHT,
-                      compiler.stack_assign_if_linked(blend_in),
-                      __float_as_int(blend),
-                      compiler.encode_uchar4(NODE_LAYER_WEIGHT_FACING,
-                                             compiler.stack_assign_if_linked(normal_in),
-                                             compiler.stack_assign(facing_out)));
-  }
-}
-
-void LayerWeightNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_layer_weight");
-}
-
-/* Wireframe */
-
-NODE_DEFINE(WireframeNode)
-{
-  NodeType *type = NodeType::add("wireframe", create, NodeType::SHADER);
-
-  SOCKET_BOOLEAN(use_pixel_size, "Use Pixel Size", false);
-  SOCKET_IN_FLOAT(size, "Size", 0.01f);
-  SOCKET_OUT_FLOAT(fac, "Fac");
-
-  return type;
-}
-
-WireframeNode::WireframeNode() : ShaderNode(get_node_type())
-{
-}
-
-void WireframeNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *size_in = input("Size");
-  ShaderOutput *fac_out = output("Fac");
-  NodeBumpOffset bump_offset = NODE_BUMP_OFFSET_CENTER;
-  if (bump == SHADER_BUMP_DX) {
-    bump_offset = NODE_BUMP_OFFSET_DX;
-  }
-  else if (bump == SHADER_BUMP_DY) {
-    bump_offset = NODE_BUMP_OFFSET_DY;
-  }
-  compiler.add_node(NODE_WIREFRAME,
-                    compiler.stack_assign(size_in),
-                    compiler.stack_assign(fac_out),
-                    compiler.encode_uchar4(use_pixel_size, bump_offset, 0, 0));
-}
-
-void WireframeNode::compile(OSLCompiler &compiler)
-{
-  if (bump == SHADER_BUMP_DX) {
-    compiler.parameter("bump_offset", "dx");
-  }
-  else if (bump == SHADER_BUMP_DY) {
-    compiler.parameter("bump_offset", "dy");
-  }
-  else {
-    compiler.parameter("bump_offset", "center");
-  }
-  compiler.parameter(this, "use_pixel_size");
-  compiler.add(this, "node_wireframe");
-}
-
-/* Wavelength */
-
-NODE_DEFINE(WavelengthNode)
-{
-  NodeType *type = NodeType::add("wavelength", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(wavelength, "Wavelength", 500.0f);
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-WavelengthNode::WavelengthNode() : ShaderNode(get_node_type())
-{
-}
-
-void WavelengthNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *wavelength_in = input("Wavelength");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(
-      NODE_WAVELENGTH, compiler.stack_assign(wavelength_in), compiler.stack_assign(color_out));
-}
-
-void WavelengthNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_wavelength");
-}
-
-/* Blackbody */
-
-NODE_DEFINE(BlackbodyNode)
-{
-  NodeType *type = NodeType::add("blackbody", create, NodeType::SHADER);
-
-  SOCKET_IN_FLOAT(temperature, "Temperature", 1200.0f);
-  SOCKET_OUT_COLOR(color, "Color");
-
-  return type;
-}
-
-BlackbodyNode::BlackbodyNode() : ShaderNode(get_node_type())
-{
-}
-
-void BlackbodyNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant(svm_math_blackbody_color(temperature));
-  }
-}
-
-void BlackbodyNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *temperature_in = input("Temperature");
-  ShaderOutput *color_out = output("Color");
-
-  compiler.add_node(
-      NODE_BLACKBODY, compiler.stack_assign(temperature_in), compiler.stack_assign(color_out));
-}
-
-void BlackbodyNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_blackbody");
-}
-
-/* Output */
-
-NODE_DEFINE(OutputNode)
-{
-  NodeType *type = NodeType::add("output", create, NodeType::SHADER);
-
-  SOCKET_IN_CLOSURE(surface, "Surface");
-  SOCKET_IN_CLOSURE(volume, "Volume");
-  SOCKET_IN_VECTOR(displacement, "Displacement", zero_float3());
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3());
-
-  return type;
-}
-
-OutputNode::OutputNode() : ShaderNode(get_node_type())
-{
-  special_type = SHADER_SPECIAL_TYPE_OUTPUT;
-}
-
-void OutputNode::compile(SVMCompiler &compiler)
-{
-  if (compiler.output_type() == SHADER_TYPE_DISPLACEMENT) {
-    ShaderInput *displacement_in = input("Displacement");
-
-    if (displacement_in->link) {
-      compiler.add_node(NODE_SET_DISPLACEMENT, compiler.stack_assign(displacement_in));
-    }
-  }
-}
-
-void OutputNode::compile(OSLCompiler &compiler)
-{
-  if (compiler.output_type() == SHADER_TYPE_SURFACE)
-    compiler.add(this, "node_output_surface");
-  else if (compiler.output_type() == SHADER_TYPE_VOLUME)
-    compiler.add(this, "node_output_volume");
-  else if (compiler.output_type() == SHADER_TYPE_DISPLACEMENT)
-    compiler.add(this, "node_output_displacement");
-}
-
-/* Map Range Node */
-
-NODE_DEFINE(MapRangeNode)
-{
-  NodeType *type = NodeType::add("map_range", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("linear", NODE_MAP_RANGE_LINEAR);
-  type_enum.insert("stepped", NODE_MAP_RANGE_STEPPED);
-  type_enum.insert("smoothstep", NODE_MAP_RANGE_SMOOTHSTEP);
-  type_enum.insert("smootherstep", NODE_MAP_RANGE_SMOOTHERSTEP);
-  SOCKET_ENUM(range_type, "Type", type_enum, NODE_MAP_RANGE_LINEAR);
-
-  SOCKET_IN_FLOAT(value, "Value", 1.0f);
-  SOCKET_IN_FLOAT(from_min, "From Min", 0.0f);
-  SOCKET_IN_FLOAT(from_max, "From Max", 1.0f);
-  SOCKET_IN_FLOAT(to_min, "To Min", 0.0f);
-  SOCKET_IN_FLOAT(to_max, "To Max", 1.0f);
-  SOCKET_IN_FLOAT(steps, "Steps", 4.0f);
-  SOCKET_IN_BOOLEAN(clamp, "Clamp", false);
-
-  SOCKET_OUT_FLOAT(result, "Result");
-
-  return type;
-}
-
-MapRangeNode::MapRangeNode() : ShaderNode(get_node_type())
-{
-}
-
-void MapRangeNode::expand(ShaderGraph *graph)
-{
-  if (clamp) {
-    ShaderOutput *result_out = output("Result");
-    if (!result_out->links.empty()) {
-      ClampNode *clamp_node = graph->create_node<ClampNode>();
-      clamp_node->set_clamp_type(NODE_CLAMP_RANGE);
-      graph->add(clamp_node);
-      graph->relink(result_out, clamp_node->output("Result"));
-      graph->connect(result_out, clamp_node->input("Value"));
-      if (input("To Min")->link) {
-        graph->connect(input("To Min")->link, clamp_node->input("Min"));
-      }
-      else {
-        clamp_node->set_min(to_min);
-      }
-      if (input("To Max")->link) {
-        graph->connect(input("To Max")->link, clamp_node->input("Max"));
-      }
-      else {
-        clamp_node->set_max(to_max);
-      }
-    }
-  }
-}
-
-void MapRangeNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *value_in = input("Value");
-  ShaderInput *from_min_in = input("From Min");
-  ShaderInput *from_max_in = input("From Max");
-  ShaderInput *to_min_in = input("To Min");
-  ShaderInput *to_max_in = input("To Max");
-  ShaderInput *steps_in = input("Steps");
-  ShaderOutput *result_out = output("Result");
-
-  int value_stack_offset = compiler.stack_assign(value_in);
-  int from_min_stack_offset = compiler.stack_assign_if_linked(from_min_in);
-  int from_max_stack_offset = compiler.stack_assign_if_linked(from_max_in);
-  int to_min_stack_offset = compiler.stack_assign_if_linked(to_min_in);
-  int to_max_stack_offset = compiler.stack_assign_if_linked(to_max_in);
-  int steps_stack_offset = compiler.stack_assign(steps_in);
-  int result_stack_offset = compiler.stack_assign(result_out);
-
-  compiler.add_node(
-      NODE_MAP_RANGE,
-      value_stack_offset,
-      compiler.encode_uchar4(
-          from_min_stack_offset, from_max_stack_offset, to_min_stack_offset, to_max_stack_offset),
-      compiler.encode_uchar4(range_type, steps_stack_offset, result_stack_offset));
-
-  compiler.add_node(__float_as_int(from_min),
-                    __float_as_int(from_max),
-                    __float_as_int(to_min),
-                    __float_as_int(to_max));
-  compiler.add_node(__float_as_int(steps));
-}
-
-void MapRangeNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "range_type");
-  compiler.add(this, "node_map_range");
-}
-
-/* Clamp Node */
-
-NODE_DEFINE(ClampNode)
-{
-  NodeType *type = NodeType::add("clamp", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("minmax", NODE_CLAMP_MINMAX);
-  type_enum.insert("range", NODE_CLAMP_RANGE);
-  SOCKET_ENUM(clamp_type, "Type", type_enum, NODE_CLAMP_MINMAX);
-
-  SOCKET_IN_FLOAT(value, "Value", 1.0f);
-  SOCKET_IN_FLOAT(min, "Min", 0.0f);
-  SOCKET_IN_FLOAT(max, "Max", 1.0f);
-
-  SOCKET_OUT_FLOAT(result, "Result");
-
-  return type;
-}
-
-ClampNode::ClampNode() : ShaderNode(get_node_type())
-{
-}
-
-void ClampNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    if (clamp_type == NODE_CLAMP_RANGE && (min > max)) {
-      folder.make_constant(clamp(value, max, min));
-    }
-    else {
-      folder.make_constant(clamp(value, min, max));
-    }
-  }
-}
-
-void ClampNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *value_in = input("Value");
-  ShaderInput *min_in = input("Min");
-  ShaderInput *max_in = input("Max");
-  ShaderOutput *result_out = output("Result");
-
-  int value_stack_offset = compiler.stack_assign(value_in);
-  int min_stack_offset = compiler.stack_assign(min_in);
-  int max_stack_offset = compiler.stack_assign(max_in);
-  int result_stack_offset = compiler.stack_assign(result_out);
-
-  compiler.add_node(NODE_CLAMP,
-                    value_stack_offset,
-                    compiler.encode_uchar4(min_stack_offset, max_stack_offset, clamp_type),
-                    result_stack_offset);
-  compiler.add_node(__float_as_int(min), __float_as_int(max));
-}
-
-void ClampNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "clamp_type");
-  compiler.add(this, "node_clamp");
-}
-
-/* AOV Output */
-
-NODE_DEFINE(OutputAOVNode)
-{
-  NodeType *type = NodeType::add("aov_output", create, NodeType::SHADER);
-
-  SOCKET_IN_COLOR(color, "Color", zero_float3());
-  SOCKET_IN_FLOAT(value, "Value", 0.0f);
-
-  SOCKET_STRING(name, "AOV Name", ustring(""));
-
-  return type;
-}
-
-OutputAOVNode::OutputAOVNode() : ShaderNode(get_node_type())
-{
-  special_type = SHADER_SPECIAL_TYPE_OUTPUT_AOV;
-  offset = -1;
-}
-
-void OutputAOVNode::simplify_settings(Scene *scene)
-{
-  offset = scene->film->get_aov_offset(scene, name.string(), is_color);
-  if (offset == -1) {
-    offset = scene->film->get_aov_offset(scene, name.string(), is_color);
-  }
-
-  if (offset == -1 || is_color) {
-    input("Value")->disconnect();
-  }
-  if (offset == -1 || !is_color) {
-    input("Color")->disconnect();
-  }
-}
-
-void OutputAOVNode::compile(SVMCompiler &compiler)
-{
-  assert(offset >= 0);
-
-  if (is_color) {
-    compiler.add_node(NODE_AOV_COLOR, compiler.stack_assign(input("Color")), offset);
-  }
-  else {
-    compiler.add_node(NODE_AOV_VALUE, compiler.stack_assign(input("Value")), offset);
-  }
-}
-
-void OutputAOVNode::compile(OSLCompiler & /*compiler*/)
-{
-  /* TODO */
-}
-
-/* Math */
-
-NODE_DEFINE(MathNode)
-{
-  NodeType *type = NodeType::add("math", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("add", NODE_MATH_ADD);
-  type_enum.insert("subtract", NODE_MATH_SUBTRACT);
-  type_enum.insert("multiply", NODE_MATH_MULTIPLY);
-  type_enum.insert("divide", NODE_MATH_DIVIDE);
-  type_enum.insert("multiply_add", NODE_MATH_MULTIPLY_ADD);
-  type_enum.insert("sine", NODE_MATH_SINE);
-  type_enum.insert("cosine", NODE_MATH_COSINE);
-  type_enum.insert("tangent", NODE_MATH_TANGENT);
-  type_enum.insert("sinh", NODE_MATH_SINH);
-  type_enum.insert("cosh", NODE_MATH_COSH);
-  type_enum.insert("tanh", NODE_MATH_TANH);
-  type_enum.insert("arcsine", NODE_MATH_ARCSINE);
-  type_enum.insert("arccosine", NODE_MATH_ARCCOSINE);
-  type_enum.insert("arctangent", NODE_MATH_ARCTANGENT);
-  type_enum.insert("power", NODE_MATH_POWER);
-  type_enum.insert("logarithm", NODE_MATH_LOGARITHM);
-  type_enum.insert("minimum", NODE_MATH_MINIMUM);
-  type_enum.insert("maximum", NODE_MATH_MAXIMUM);
-  type_enum.insert("round", NODE_MATH_ROUND);
-  type_enum.insert("less_than", NODE_MATH_LESS_THAN);
-  type_enum.insert("greater_than", NODE_MATH_GREATER_THAN);
-  type_enum.insert("modulo", NODE_MATH_MODULO);
-  type_enum.insert("absolute", NODE_MATH_ABSOLUTE);
-  type_enum.insert("arctan2", NODE_MATH_ARCTAN2);
-  type_enum.insert("floor", NODE_MATH_FLOOR);
-  type_enum.insert("ceil", NODE_MATH_CEIL);
-  type_enum.insert("fraction", NODE_MATH_FRACTION);
-  type_enum.insert("trunc", NODE_MATH_TRUNC);
-  type_enum.insert("snap", NODE_MATH_SNAP);
-  type_enum.insert("wrap", NODE_MATH_WRAP);
-  type_enum.insert("pingpong", NODE_MATH_PINGPONG);
-  type_enum.insert("sqrt", NODE_MATH_SQRT);
-  type_enum.insert("inversesqrt", NODE_MATH_INV_SQRT);
-  type_enum.insert("sign", NODE_MATH_SIGN);
-  type_enum.insert("exponent", NODE_MATH_EXPONENT);
-  type_enum.insert("radians", NODE_MATH_RADIANS);
-  type_enum.insert("degrees", NODE_MATH_DEGREES);
-  type_enum.insert("smoothmin", NODE_MATH_SMOOTH_MIN);
-  type_enum.insert("smoothmax", NODE_MATH_SMOOTH_MAX);
-  type_enum.insert("compare", NODE_MATH_COMPARE);
-  SOCKET_ENUM(math_type, "Type", type_enum, NODE_MATH_ADD);
-
-  SOCKET_BOOLEAN(use_clamp, "Use Clamp", false);
-
-  SOCKET_IN_FLOAT(value1, "Value1", 0.5f);
-  SOCKET_IN_FLOAT(value2, "Value2", 0.5f);
-  SOCKET_IN_FLOAT(value3, "Value3", 0.0f);
-
-  SOCKET_OUT_FLOAT(value, "Value");
-
-  return type;
-}
-
-MathNode::MathNode() : ShaderNode(get_node_type())
-{
-}
-
-void MathNode::expand(ShaderGraph *graph)
-{
-  if (use_clamp) {
-    ShaderOutput *result_out = output("Value");
-    if (!result_out->links.empty()) {
-      ClampNode *clamp_node = graph->create_node<ClampNode>();
-      clamp_node->set_clamp_type(NODE_CLAMP_MINMAX);
-      clamp_node->set_min(0.0f);
-      clamp_node->set_max(1.0f);
-      graph->add(clamp_node);
-      graph->relink(result_out, clamp_node->output("Result"));
-      graph->connect(result_out, clamp_node->input("Value"));
-    }
-  }
-}
-
-void MathNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    folder.make_constant(svm_math(math_type, value1, value2, value3));
-  }
-  else {
-    folder.fold_math(math_type);
-  }
-}
-
-void MathNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *value1_in = input("Value1");
-  ShaderInput *value2_in = input("Value2");
-  ShaderInput *value3_in = input("Value3");
-  ShaderOutput *value_out = output("Value");
-
-  int value1_stack_offset = compiler.stack_assign(value1_in);
-  int value2_stack_offset = compiler.stack_assign(value2_in);
-  int value3_stack_offset = compiler.stack_assign(value3_in);
-  int value_stack_offset = compiler.stack_assign(value_out);
-
-  compiler.add_node(
-      NODE_MATH,
-      math_type,
-      compiler.encode_uchar4(value1_stack_offset, value2_stack_offset, value3_stack_offset),
-      value_stack_offset);
-}
-
-void MathNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "math_type");
-  compiler.add(this, "node_math");
-}
-
-/* VectorMath */
-
-NODE_DEFINE(VectorMathNode)
-{
-  NodeType *type = NodeType::add("vector_math", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("add", NODE_VECTOR_MATH_ADD);
-  type_enum.insert("subtract", NODE_VECTOR_MATH_SUBTRACT);
-  type_enum.insert("multiply", NODE_VECTOR_MATH_MULTIPLY);
-  type_enum.insert("divide", NODE_VECTOR_MATH_DIVIDE);
-
-  type_enum.insert("cross_product", NODE_VECTOR_MATH_CROSS_PRODUCT);
-  type_enum.insert("project", NODE_VECTOR_MATH_PROJECT);
-  type_enum.insert("reflect", NODE_VECTOR_MATH_REFLECT);
-  type_enum.insert("refract", NODE_VECTOR_MATH_REFRACT);
-  type_enum.insert("faceforward", NODE_VECTOR_MATH_FACEFORWARD);
-  type_enum.insert("multiply_add", NODE_VECTOR_MATH_MULTIPLY_ADD);
-
-  type_enum.insert("dot_product", NODE_VECTOR_MATH_DOT_PRODUCT);
-
-  type_enum.insert("distance", NODE_VECTOR_MATH_DISTANCE);
-  type_enum.insert("length", NODE_VECTOR_MATH_LENGTH);
-  type_enum.insert("scale", NODE_VECTOR_MATH_SCALE);
-  type_enum.insert("normalize", NODE_VECTOR_MATH_NORMALIZE);
-
-  type_enum.insert("snap", NODE_VECTOR_MATH_SNAP);
-  type_enum.insert("floor", NODE_VECTOR_MATH_FLOOR);
-  type_enum.insert("ceil", NODE_VECTOR_MATH_CEIL);
-  type_enum.insert("modulo", NODE_VECTOR_MATH_MODULO);
-  type_enum.insert("wrap", NODE_VECTOR_MATH_WRAP);
-  type_enum.insert("fraction", NODE_VECTOR_MATH_FRACTION);
-  type_enum.insert("absolute", NODE_VECTOR_MATH_ABSOLUTE);
-  type_enum.insert("minimum", NODE_VECTOR_MATH_MINIMUM);
-  type_enum.insert("maximum", NODE_VECTOR_MATH_MAXIMUM);
-
-  type_enum.insert("sine", NODE_VECTOR_MATH_SINE);
-  type_enum.insert("cosine", NODE_VECTOR_MATH_COSINE);
-  type_enum.insert("tangent", NODE_VECTOR_MATH_TANGENT);
-  SOCKET_ENUM(math_type, "Type", type_enum, NODE_VECTOR_MATH_ADD);
-
-  SOCKET_IN_VECTOR(vector1, "Vector1", zero_float3());
-  SOCKET_IN_VECTOR(vector2, "Vector2", zero_float3());
-  SOCKET_IN_VECTOR(vector3, "Vector3", zero_float3());
-  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
-
-  SOCKET_OUT_FLOAT(value, "Value");
-  SOCKET_OUT_VECTOR(vector, "Vector");
-
-  return type;
-}
-
-VectorMathNode::VectorMathNode() : ShaderNode(get_node_type())
-{
-}
-
-void VectorMathNode::constant_fold(const ConstantFolder &folder)
-{
-  float value = 0.0f;
-  float3 vector = zero_float3();
-
-  if (folder.all_inputs_constant()) {
-    svm_vector_math(&value, &vector, math_type, vector1, vector2, vector3, scale);
-    if (folder.output == output("Value")) {
-      folder.make_constant(value);
-    }
-    else if (folder.output == output("Vector")) {
-      folder.make_constant(vector);
-    }
-  }
-  else {
-    folder.fold_vector_math(math_type);
-  }
-}
-
-void VectorMathNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector1_in = input("Vector1");
-  ShaderInput *vector2_in = input("Vector2");
-  ShaderInput *param1_in = input("Scale");
-  ShaderOutput *value_out = output("Value");
-  ShaderOutput *vector_out = output("Vector");
-
-  int vector1_stack_offset = compiler.stack_assign(vector1_in);
-  int vector2_stack_offset = compiler.stack_assign(vector2_in);
-  int param1_stack_offset = compiler.stack_assign(param1_in);
-  int value_stack_offset = compiler.stack_assign_if_linked(value_out);
-  int vector_stack_offset = compiler.stack_assign_if_linked(vector_out);
-
-  /* 3 Vector Operators */
-  if (math_type == NODE_VECTOR_MATH_WRAP || math_type == NODE_VECTOR_MATH_FACEFORWARD ||
-      math_type == NODE_VECTOR_MATH_MULTIPLY_ADD) {
-    ShaderInput *vector3_in = input("Vector3");
-    int vector3_stack_offset = compiler.stack_assign(vector3_in);
-    compiler.add_node(
-        NODE_VECTOR_MATH,
-        math_type,
-        compiler.encode_uchar4(vector1_stack_offset, vector2_stack_offset, param1_stack_offset),
-        compiler.encode_uchar4(value_stack_offset, vector_stack_offset));
-    compiler.add_node(vector3_stack_offset);
-  }
-  else {
-    compiler.add_node(
-        NODE_VECTOR_MATH,
-        math_type,
-        compiler.encode_uchar4(vector1_stack_offset, vector2_stack_offset, param1_stack_offset),
-        compiler.encode_uchar4(value_stack_offset, vector_stack_offset));
-  }
-}
-
-void VectorMathNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "math_type");
-  compiler.add(this, "node_vector_math");
-}
-
-/* Vector Rotate */
-
-NODE_DEFINE(VectorRotateNode)
-{
-  NodeType *type = NodeType::add("vector_rotate", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("axis", NODE_VECTOR_ROTATE_TYPE_AXIS);
-  type_enum.insert("x_axis", NODE_VECTOR_ROTATE_TYPE_AXIS_X);
-  type_enum.insert("y_axis", NODE_VECTOR_ROTATE_TYPE_AXIS_Y);
-  type_enum.insert("z_axis", NODE_VECTOR_ROTATE_TYPE_AXIS_Z);
-  type_enum.insert("euler_xyz", NODE_VECTOR_ROTATE_TYPE_EULER_XYZ);
-  SOCKET_ENUM(rotate_type, "Type", type_enum, NODE_VECTOR_ROTATE_TYPE_AXIS);
-
-  SOCKET_BOOLEAN(invert, "Invert", false);
-
-  SOCKET_IN_VECTOR(vector, "Vector", zero_float3());
-  SOCKET_IN_POINT(rotation, "Rotation", zero_float3());
-  SOCKET_IN_POINT(center, "Center", zero_float3());
-  SOCKET_IN_VECTOR(axis, "Axis", make_float3(0.0f, 0.0f, 1.0f));
-  SOCKET_IN_FLOAT(angle, "Angle", 0.0f);
-  SOCKET_OUT_VECTOR(vector, "Vector");
-
-  return type;
-}
-
-VectorRotateNode::VectorRotateNode() : ShaderNode(get_node_type())
-{
-}
-
-void VectorRotateNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *rotation_in = input("Rotation");
-  ShaderInput *center_in = input("Center");
-  ShaderInput *axis_in = input("Axis");
-  ShaderInput *angle_in = input("Angle");
-  ShaderOutput *vector_out = output("Vector");
-
-  compiler.add_node(NODE_VECTOR_ROTATE,
-                    compiler.encode_uchar4(rotate_type,
-                                           compiler.stack_assign(vector_in),
-                                           compiler.stack_assign(rotation_in),
-                                           invert),
-                    compiler.encode_uchar4(compiler.stack_assign(center_in),
-                                           compiler.stack_assign(axis_in),
-                                           compiler.stack_assign(angle_in)),
-                    compiler.stack_assign(vector_out));
-}
-
-void VectorRotateNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "rotate_type");
-  compiler.parameter(this, "invert");
-  compiler.add(this, "node_vector_rotate");
-}
-
-/* VectorTransform */
-
-NODE_DEFINE(VectorTransformNode)
-{
-  NodeType *type = NodeType::add("vector_transform", create, NodeType::SHADER);
-
-  static NodeEnum type_enum;
-  type_enum.insert("vector", NODE_VECTOR_TRANSFORM_TYPE_VECTOR);
-  type_enum.insert("point", NODE_VECTOR_TRANSFORM_TYPE_POINT);
-  type_enum.insert("normal", NODE_VECTOR_TRANSFORM_TYPE_NORMAL);
-  SOCKET_ENUM(transform_type, "Type", type_enum, NODE_VECTOR_TRANSFORM_TYPE_VECTOR);
-
-  static NodeEnum space_enum;
-  space_enum.insert("world", NODE_VECTOR_TRANSFORM_CONVERT_SPACE_WORLD);
-  space_enum.insert("object", NODE_VECTOR_TRANSFORM_CONVERT_SPACE_OBJECT);
-  space_enum.insert("camera", NODE_VECTOR_TRANSFORM_CONVERT_SPACE_CAMERA);
-  SOCKET_ENUM(convert_from, "Convert From", space_enum, NODE_VECTOR_TRANSFORM_CONVERT_SPACE_WORLD);
-  SOCKET_ENUM(convert_to, "Convert To", space_enum, NODE_VECTOR_TRANSFORM_CONVERT_SPACE_OBJECT);
-
-  SOCKET_IN_VECTOR(vector, "Vector", zero_float3());
-  SOCKET_OUT_VECTOR(vector, "Vector");
-
-  return type;
-}
-
-VectorTransformNode::VectorTransformNode() : ShaderNode(get_node_type())
-{
-}
-
-void VectorTransformNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderOutput *vector_out = output("Vector");
-
-  compiler.add_node(
-      NODE_VECTOR_TRANSFORM,
-      compiler.encode_uchar4(transform_type, convert_from, convert_to),
-      compiler.encode_uchar4(compiler.stack_assign(vector_in), compiler.stack_assign(vector_out)));
-}
-
-void VectorTransformNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "transform_type");
-  compiler.parameter(this, "convert_from");
-  compiler.parameter(this, "convert_to");
-  compiler.add(this, "node_vector_transform");
-}
-
-/* BumpNode */
-
-NODE_DEFINE(BumpNode)
-{
-  NodeType *type = NodeType::add("bump", create, NodeType::SHADER);
-
-  SOCKET_BOOLEAN(invert, "Invert", false);
-  SOCKET_BOOLEAN(use_object_space, "UseObjectSpace", false);
-
-  /* this input is used by the user, but after graph transform it is no longer
-   * used and moved to sampler center/x/y instead */
-  SOCKET_IN_FLOAT(height, "Height", 1.0f);
-
-  SOCKET_IN_FLOAT(sample_center, "SampleCenter", 0.0f);
-  SOCKET_IN_FLOAT(sample_x, "SampleX", 0.0f);
-  SOCKET_IN_FLOAT(sample_y, "SampleY", 0.0f);
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
-  SOCKET_IN_FLOAT(distance, "Distance", 0.1f);
-
-  SOCKET_OUT_NORMAL(normal, "Normal");
-
-  return type;
-}
-
-BumpNode::BumpNode() : ShaderNode(get_node_type())
-{
-  special_type = SHADER_SPECIAL_TYPE_BUMP;
-}
-
-void BumpNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *center_in = input("SampleCenter");
-  ShaderInput *dx_in = input("SampleX");
-  ShaderInput *dy_in = input("SampleY");
-  ShaderInput *normal_in = input("Normal");
-  ShaderInput *strength_in = input("Strength");
-  ShaderInput *distance_in = input("Distance");
-  ShaderOutput *normal_out = output("Normal");
-
-  /* pack all parameters in the node */
-  compiler.add_node(NODE_SET_BUMP,
-                    compiler.encode_uchar4(compiler.stack_assign_if_linked(normal_in),
-                                           compiler.stack_assign(distance_in),
-                                           invert,
-                                           use_object_space),
-                    compiler.encode_uchar4(compiler.stack_assign(center_in),
-                                           compiler.stack_assign(dx_in),
-                                           compiler.stack_assign(dy_in),
-                                           compiler.stack_assign(strength_in)),
-                    compiler.stack_assign(normal_out));
-}
-
-void BumpNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "invert");
-  compiler.parameter(this, "use_object_space");
-  compiler.add(this, "node_bump");
-}
-
-void BumpNode::constant_fold(const ConstantFolder &folder)
-{
-  ShaderInput *height_in = input("Height");
-  ShaderInput *normal_in = input("Normal");
-
-  if (height_in->link == NULL) {
-    if (normal_in->link == NULL) {
-      GeometryNode *geom = folder.graph->create_node<GeometryNode>();
-      folder.graph->add(geom);
-      folder.bypass(geom->output("Normal"));
-    }
-    else {
-      folder.bypass(normal_in->link);
-    }
-  }
-
-  /* TODO(sergey): Ignore bump with zero strength. */
-}
-
-/* Curves node */
-
-CurvesNode::CurvesNode(const NodeType *node_type) : ShaderNode(node_type)
-{
-}
-
-void CurvesNode::constant_fold(const ConstantFolder &folder, ShaderInput *value_in)
-{
-  ShaderInput *fac_in = input("Fac");
-
-  /* evaluate fully constant node */
-  if (folder.all_inputs_constant()) {
-    if (curves.size() == 0) {
-      return;
-    }
-
-    float3 pos = (value - make_float3(min_x, min_x, min_x)) / (max_x - min_x);
-    float3 result;
-
-    result[0] = rgb_ramp_lookup(curves.data(), pos[0], true, true, curves.size()).x;
-    result[1] = rgb_ramp_lookup(curves.data(), pos[1], true, true, curves.size()).y;
-    result[2] = rgb_ramp_lookup(curves.data(), pos[2], true, true, curves.size()).z;
-
-    folder.make_constant(interp(value, result, fac));
-  }
-  /* remove no-op node */
-  else if (!fac_in->link && fac == 0.0f) {
-    /* link is not null because otherwise all inputs are constant */
-    folder.bypass(value_in->link);
-  }
-}
-
-void CurvesNode::compile(SVMCompiler &compiler,
-                         int type,
-                         ShaderInput *value_in,
-                         ShaderOutput *value_out)
-{
-  if (curves.size() == 0)
-    return;
-
-  ShaderInput *fac_in = input("Fac");
-
-  compiler.add_node(type,
-                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
-                                           compiler.stack_assign(value_in),
-                                           compiler.stack_assign(value_out)),
-                    __float_as_int(min_x),
-                    __float_as_int(max_x));
-
-  compiler.add_node(curves.size());
-  for (int i = 0; i < curves.size(); i++)
-    compiler.add_node(float3_to_float4(curves[i]));
-}
-
-void CurvesNode::compile(OSLCompiler &compiler, const char *name)
-{
-  if (curves.size() == 0)
-    return;
-
-  compiler.parameter_color_array("ramp", curves);
-  compiler.parameter(this, "min_x");
-  compiler.parameter(this, "max_x");
-  compiler.add(this, name);
-}
-
-void CurvesNode::compile(SVMCompiler & /*compiler*/)
-{
-  assert(0);
-}
-
-void CurvesNode::compile(OSLCompiler & /*compiler*/)
-{
-  assert(0);
-}
-
-/* RGBCurvesNode */
-
-NODE_DEFINE(RGBCurvesNode)
-{
-  NodeType *type = NodeType::add("rgb_curves", create, NodeType::SHADER);
-
-  SOCKET_COLOR_ARRAY(curves, "Curves", array<float3>());
-  SOCKET_FLOAT(min_x, "Min X", 0.0f);
-  SOCKET_FLOAT(max_x, "Max X", 1.0f);
-
-  SOCKET_IN_FLOAT(fac, "Fac", 0.0f);
-  SOCKET_IN_COLOR(value, "Color", zero_float3());
-
-  SOCKET_OUT_COLOR(value, "Color");
-
-  return type;
-}
-
-RGBCurvesNode::RGBCurvesNode() : CurvesNode(get_node_type())
-{
-}
-
-void RGBCurvesNode::constant_fold(const ConstantFolder &folder)
-{
-  CurvesNode::constant_fold(folder, input("Color"));
-}
-
-void RGBCurvesNode::compile(SVMCompiler &compiler)
-{
-  CurvesNode::compile(compiler, NODE_RGB_CURVES, input("Color"), output("Color"));
-}
-
-void RGBCurvesNode::compile(OSLCompiler &compiler)
-{
-  CurvesNode::compile(compiler, "node_rgb_curves");
-}
-
-/* VectorCurvesNode */
-
-NODE_DEFINE(VectorCurvesNode)
-{
-  NodeType *type = NodeType::add("vector_curves", create, NodeType::SHADER);
-
-  SOCKET_VECTOR_ARRAY(curves, "Curves", array<float3>());
-  SOCKET_FLOAT(min_x, "Min X", 0.0f);
-  SOCKET_FLOAT(max_x, "Max X", 1.0f);
-
-  SOCKET_IN_FLOAT(fac, "Fac", 0.0f);
-  SOCKET_IN_VECTOR(value, "Vector", zero_float3());
-
-  SOCKET_OUT_VECTOR(value, "Vector");
-
-  return type;
-}
-
-VectorCurvesNode::VectorCurvesNode() : CurvesNode(get_node_type())
-{
-}
-
-void VectorCurvesNode::constant_fold(const ConstantFolder &folder)
-{
-  CurvesNode::constant_fold(folder, input("Vector"));
-}
-
-void VectorCurvesNode::compile(SVMCompiler &compiler)
-{
-  CurvesNode::compile(compiler, NODE_VECTOR_CURVES, input("Vector"), output("Vector"));
-}
-
-void VectorCurvesNode::compile(OSLCompiler &compiler)
-{
-  CurvesNode::compile(compiler, "node_vector_curves");
-}
-
-/* FloatCurveNode */
-
-NODE_DEFINE(FloatCurveNode)
-{
-  NodeType *type = NodeType::add("float_curve", create, NodeType::SHADER);
-
-  SOCKET_FLOAT_ARRAY(curve, "Curve", array<float>());
-  SOCKET_FLOAT(min_x, "Min X", 0.0f);
-  SOCKET_FLOAT(max_x, "Max X", 1.0f);
-
-  SOCKET_IN_FLOAT(fac, "Factor", 0.0f);
-  SOCKET_IN_FLOAT(value, "Value", 0.0f);
-
-  SOCKET_OUT_FLOAT(value, "Value");
-
-  return type;
-}
-
-FloatCurveNode::FloatCurveNode() : ShaderNode(get_node_type())
-{
-}
-
-void FloatCurveNode::constant_fold(const ConstantFolder &folder)
-{
-  ShaderInput *value_in = input("Value");
-  ShaderInput *fac_in = input("Factor");
-
-  /* evaluate fully constant node */
-  if (folder.all_inputs_constant()) {
-    if (curve.size() == 0) {
-      return;
-    }
-
-    float pos = (value - min_x) / (max_x - min_x);
-    float result = float_ramp_lookup(curve.data(), pos, true, true, curve.size());
-
-    folder.make_constant(value + fac * (result - value));
-  }
-  /* remove no-op node */
-  else if (!fac_in->link && fac == 0.0f) {
-    /* link is not null because otherwise all inputs are constant */
-    folder.bypass(value_in->link);
-  }
-}
-
-void FloatCurveNode::compile(SVMCompiler &compiler)
-{
-  if (curve.size() == 0)
-    return;
-
-  ShaderInput *value_in = input("Value");
-  ShaderInput *fac_in = input("Factor");
-  ShaderOutput *value_out = output("Value");
-
-  compiler.add_node(NODE_FLOAT_CURVE,
-                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
-                                           compiler.stack_assign(value_in),
-                                           compiler.stack_assign(value_out)),
-                    __float_as_int(min_x),
-                    __float_as_int(max_x));
-
-  compiler.add_node(curve.size());
-  for (int i = 0; i < curve.size(); i++)
-    compiler.add_node(make_float4(curve[i]));
-}
-
-void FloatCurveNode::compile(OSLCompiler &compiler)
-{
-  if (curve.size() == 0)
-    return;
-
-  compiler.parameter_array("ramp", curve.data(), curve.size());
-  compiler.parameter(this, "min_x");
-  compiler.parameter(this, "max_x");
-  compiler.add(this, "node_float_curve");
-}
-
-/* RGBRampNode */
-
-NODE_DEFINE(RGBRampNode)
-{
-  NodeType *type = NodeType::add("rgb_ramp", create, NodeType::SHADER);
-
-  SOCKET_COLOR_ARRAY(ramp, "Ramp", array<float3>());
-  SOCKET_FLOAT_ARRAY(ramp_alpha, "Ramp Alpha", array<float>());
-  SOCKET_BOOLEAN(interpolate, "Interpolate", true);
-
-  SOCKET_IN_FLOAT(fac, "Fac", 0.0f);
-
-  SOCKET_OUT_COLOR(color, "Color");
-  SOCKET_OUT_FLOAT(alpha, "Alpha");
-
-  return type;
-}
-
-RGBRampNode::RGBRampNode() : ShaderNode(get_node_type())
-{
-}
-
-void RGBRampNode::constant_fold(const ConstantFolder &folder)
-{
-  if (ramp.size() == 0 || ramp.size() != ramp_alpha.size())
-    return;
-
-  if (folder.all_inputs_constant()) {
-    float f = clamp(fac, 0.0f, 1.0f) * (ramp.size() - 1);
-
-    /* clamp int as well in case of NaN */
-    int i = clamp((int)f, 0, ramp.size() - 1);
-    float t = f - (float)i;
-
-    bool use_lerp = interpolate && t > 0.0f;
-
-    if (folder.output == output("Color")) {
-      float3 color = rgb_ramp_lookup(ramp.data(), fac, use_lerp, false, ramp.size());
-      folder.make_constant(color);
-    }
-    else if (folder.output == output("Alpha")) {
-      float alpha = float_ramp_lookup(ramp_alpha.data(), fac, use_lerp, false, ramp_alpha.size());
-      folder.make_constant(alpha);
-    }
-  }
-}
-
-void RGBRampNode::compile(SVMCompiler &compiler)
-{
-  if (ramp.size() == 0 || ramp.size() != ramp_alpha.size())
-    return;
-
-  ShaderInput *fac_in = input("Fac");
-  ShaderOutput *color_out = output("Color");
-  ShaderOutput *alpha_out = output("Alpha");
-
-  compiler.add_node(NODE_RGB_RAMP,
-                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
-                                           compiler.stack_assign_if_linked(color_out),
-                                           compiler.stack_assign_if_linked(alpha_out)),
-                    interpolate);
-
-  compiler.add_node(ramp.size());
-  for (int i = 0; i < ramp.size(); i++)
-    compiler.add_node(make_float4(ramp[i].x, ramp[i].y, ramp[i].z, ramp_alpha[i]));
-}
-
-void RGBRampNode::compile(OSLCompiler &compiler)
-{
-  if (ramp.size() == 0 || ramp.size() != ramp_alpha.size())
-    return;
-
-  compiler.parameter_color_array("ramp_color", ramp);
-  compiler.parameter_array("ramp_alpha", ramp_alpha.data(), ramp_alpha.size());
-  compiler.parameter(this, "interpolate");
-
-  compiler.add(this, "node_rgb_ramp");
-}
-
-/* Set Normal Node */
-
-NODE_DEFINE(SetNormalNode)
-{
-  NodeType *type = NodeType::add("set_normal", create, NodeType::SHADER);
-
-  SOCKET_IN_VECTOR(direction, "Direction", zero_float3());
-  SOCKET_OUT_NORMAL(normal, "Normal");
-
-  return type;
-}
-
-SetNormalNode::SetNormalNode() : ShaderNode(get_node_type())
-{
-}
-
-void SetNormalNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *direction_in = input("Direction");
-  ShaderOutput *normal_out = output("Normal");
-
-  compiler.add_node(NODE_CLOSURE_SET_NORMAL,
-                    compiler.stack_assign(direction_in),
-                    compiler.stack_assign(normal_out));
-}
-
-void SetNormalNode::compile(OSLCompiler &compiler)
-{
-  compiler.add(this, "node_set_normal");
-}
-
-/* OSLNode */
-
-OSLNode::OSLNode() : ShaderNode(new NodeType(NodeType::SHADER))
-{
-  special_type = SHADER_SPECIAL_TYPE_OSL;
-}
-
-OSLNode::~OSLNode()
-{
-  delete type;
-}
-
-ShaderNode *OSLNode::clone(ShaderGraph *graph) const
-{
-  return OSLNode::create(graph, this->inputs.size(), this);
-}
-
-OSLNode *OSLNode::create(ShaderGraph *graph, size_t num_inputs, const OSLNode *from)
-{
-  /* allocate space for the node itself and parameters, aligned to 16 bytes
-   * assuming that's the most parameter types need */
-  size_t node_size = align_up(sizeof(OSLNode), 16);
-  size_t inputs_size = align_up(SocketType::max_size(), 16) * num_inputs;
-
-  char *node_memory = (char *)operator new(node_size + inputs_size);
-  memset(node_memory, 0, node_size + inputs_size);
-
-  if (!from) {
-    OSLNode *node = new (node_memory) OSLNode();
-    node->set_owner(graph);
-    return node;
-  }
-  else {
-    /* copy input default values and node type for cloning */
-    memcpy(node_memory + node_size, (char *)from + node_size, inputs_size);
-
-    OSLNode *node = new (node_memory) OSLNode(*from);
-    node->type = new NodeType(*(from->type));
-    node->set_owner(from->owner);
-    return node;
-  }
-}
-
-char *OSLNode::input_default_value()
-{
-  /* pointer to default value storage, which is the same as our actual value */
-  size_t num_inputs = type->inputs.size();
-  size_t inputs_size = align_up(SocketType::max_size(), 16) * num_inputs;
-  return (char *)this + align_up(sizeof(OSLNode), 16) + inputs_size;
-}
-
-void OSLNode::add_input(ustring name, SocketType::Type socket_type)
-{
-  char *memory = input_default_value();
-  size_t offset = memory - (char *)this;
-  const_cast<NodeType *>(type)->register_input(
-      name, name, socket_type, offset, memory, NULL, NULL, SocketType::LINKABLE);
-}
-
-void OSLNode::add_output(ustring name, SocketType::Type socket_type)
-{
-  const_cast<NodeType *>(type)->register_output(name, name, socket_type);
-}
-
-void OSLNode::compile(SVMCompiler &)
-{
-  /* doesn't work for SVM, obviously ... */
-}
-
-void OSLNode::compile(OSLCompiler &compiler)
-{
-  if (!filepath.empty())
-    compiler.add(this, filepath.c_str(), true);
-  else
-    compiler.add(this, bytecode_hash.c_str(), false);
-}
-
-/* Normal Map */
-
-NODE_DEFINE(NormalMapNode)
-{
-  NodeType *type = NodeType::add("normal_map", create, NodeType::SHADER);
-
-  static NodeEnum space_enum;
-  space_enum.insert("tangent", NODE_NORMAL_MAP_TANGENT);
-  space_enum.insert("object", NODE_NORMAL_MAP_OBJECT);
-  space_enum.insert("world", NODE_NORMAL_MAP_WORLD);
-  space_enum.insert("blender_object", NODE_NORMAL_MAP_BLENDER_OBJECT);
-  space_enum.insert("blender_world", NODE_NORMAL_MAP_BLENDER_WORLD);
-  SOCKET_ENUM(space, "Space", space_enum, NODE_NORMAL_MAP_TANGENT);
-
-  SOCKET_STRING(attribute, "Attribute", ustring());
-
-  SOCKET_IN_NORMAL(
-      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
-  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
-  SOCKET_IN_COLOR(color, "Color", make_float3(0.5f, 0.5f, 1.0f));
-
-  SOCKET_OUT_NORMAL(normal, "Normal");
-
-  return type;
-}
-
-NormalMapNode::NormalMapNode() : ShaderNode(get_node_type())
-{
-}
-
-void NormalMapNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link() && space == NODE_NORMAL_MAP_TANGENT) {
-    if (attribute.empty()) {
-      attributes->add(ATTR_STD_UV_TANGENT);
-      attributes->add(ATTR_STD_UV_TANGENT_SIGN);
-    }
-    else {
-      attributes->add(ustring((string(attribute.c_str()) + ".tangent").c_str()));
-      attributes->add(ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
-    }
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void NormalMapNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *color_in = input("Color");
-  ShaderInput *strength_in = input("Strength");
-  ShaderOutput *normal_out = output("Normal");
-  int attr = 0, attr_sign = 0;
-
-  if (space == NODE_NORMAL_MAP_TANGENT) {
-    if (attribute.empty()) {
-      attr = compiler.attribute(ATTR_STD_UV_TANGENT);
-      attr_sign = compiler.attribute(ATTR_STD_UV_TANGENT_SIGN);
-    }
-    else {
-      attr = compiler.attribute(ustring((string(attribute.c_str()) + ".tangent").c_str()));
-      attr_sign = compiler.attribute(
-          ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
-    }
-  }
-
-  compiler.add_node(NODE_NORMAL_MAP,
-                    compiler.encode_uchar4(compiler.stack_assign(color_in),
-                                           compiler.stack_assign(strength_in),
-                                           compiler.stack_assign(normal_out),
-                                           space),
-                    attr,
-                    attr_sign);
-}
-
-void NormalMapNode::compile(OSLCompiler &compiler)
-{
-  if (space == NODE_NORMAL_MAP_TANGENT) {
-    if (attribute.empty()) {
-      compiler.parameter("attr_name", ustring("geom:tangent"));
-      compiler.parameter("attr_sign_name", ustring("geom:tangent_sign"));
-    }
-    else {
-      compiler.parameter("attr_name", ustring((string(attribute.c_str()) + ".tangent").c_str()));
-      compiler.parameter("attr_sign_name",
-                         ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
-    }
-  }
-
-  compiler.parameter(this, "space");
-  compiler.add(this, "node_normal_map");
-}
-
-/* Tangent */
-
-NODE_DEFINE(TangentNode)
-{
-  NodeType *type = NodeType::add("tangent", create, NodeType::SHADER);
-
-  static NodeEnum direction_type_enum;
-  direction_type_enum.insert("radial", NODE_TANGENT_RADIAL);
-  direction_type_enum.insert("uv_map", NODE_TANGENT_UVMAP);
-  SOCKET_ENUM(direction_type, "Direction Type", direction_type_enum, NODE_TANGENT_RADIAL);
-
-  static NodeEnum axis_enum;
-  axis_enum.insert("x", NODE_TANGENT_AXIS_X);
-  axis_enum.insert("y", NODE_TANGENT_AXIS_Y);
-  axis_enum.insert("z", NODE_TANGENT_AXIS_Z);
-  SOCKET_ENUM(axis, "Axis", axis_enum, NODE_TANGENT_AXIS_X);
-
-  SOCKET_STRING(attribute, "Attribute", ustring());
-
-  SOCKET_IN_NORMAL(
-      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
-  SOCKET_OUT_NORMAL(tangent, "Tangent");
-
-  return type;
-}
-
-TangentNode::TangentNode() : ShaderNode(get_node_type())
-{
-}
-
-void TangentNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link()) {
-    if (direction_type == NODE_TANGENT_UVMAP) {
-      if (attribute.empty())
-        attributes->add(ATTR_STD_UV_TANGENT);
-      else
-        attributes->add(ustring((string(attribute.c_str()) + ".tangent").c_str()));
-    }
-    else
-      attributes->add(ATTR_STD_GENERATED);
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void TangentNode::compile(SVMCompiler &compiler)
-{
-  ShaderOutput *tangent_out = output("Tangent");
-  int attr;
-
-  if (direction_type == NODE_TANGENT_UVMAP) {
-    if (attribute.empty())
-      attr = compiler.attribute(ATTR_STD_UV_TANGENT);
-    else
-      attr = compiler.attribute(ustring((string(attribute.c_str()) + ".tangent").c_str()));
-  }
-  else
-    attr = compiler.attribute(ATTR_STD_GENERATED);
-
-  compiler.add_node(
-      NODE_TANGENT,
-      compiler.encode_uchar4(compiler.stack_assign(tangent_out), direction_type, axis),
-      attr);
-}
-
-void TangentNode::compile(OSLCompiler &compiler)
-{
-  if (direction_type == NODE_TANGENT_UVMAP) {
-    if (attribute.empty())
-      compiler.parameter("attr_name", ustring("geom:tangent"));
-    else
-      compiler.parameter("attr_name", ustring((string(attribute.c_str()) + ".tangent").c_str()));
-  }
-
-  compiler.parameter(this, "direction_type");
-  compiler.parameter(this, "axis");
-  compiler.add(this, "node_tangent");
-}
-
-/* Bevel */
-
-NODE_DEFINE(BevelNode)
-{
-  NodeType *type = NodeType::add("bevel", create, NodeType::SHADER);
-
-  SOCKET_INT(samples, "Samples", 4);
-
-  SOCKET_IN_FLOAT(radius, "Radius", 0.05f);
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-
-  SOCKET_OUT_NORMAL(bevel, "Normal");
-
-  return type;
-}
-
-BevelNode::BevelNode() : ShaderNode(get_node_type())
-{
-}
-
-void BevelNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *radius_in = input("Radius");
-  ShaderInput *normal_in = input("Normal");
-  ShaderOutput *normal_out = output("Normal");
-
-  compiler.add_node(NODE_BEVEL,
-                    compiler.encode_uchar4(samples,
-                                           compiler.stack_assign(radius_in),
-                                           compiler.stack_assign_if_linked(normal_in),
-                                           compiler.stack_assign(normal_out)));
-}
-
-void BevelNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "samples");
-  compiler.add(this, "node_bevel");
-}
-
-/* Displacement */
-
-NODE_DEFINE(DisplacementNode)
-{
-  NodeType *type = NodeType::add("displacement", create, NodeType::SHADER);
-
-  static NodeEnum space_enum;
-  space_enum.insert("object", NODE_NORMAL_MAP_OBJECT);
-  space_enum.insert("world", NODE_NORMAL_MAP_WORLD);
-
-  SOCKET_ENUM(space, "Space", space_enum, NODE_NORMAL_MAP_OBJECT);
-
-  SOCKET_IN_FLOAT(height, "Height", 0.0f);
-  SOCKET_IN_FLOAT(midlevel, "Midlevel", 0.5f);
-  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
-  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
-
-  SOCKET_OUT_VECTOR(displacement, "Displacement");
-
-  return type;
-}
-
-DisplacementNode::DisplacementNode() : ShaderNode(get_node_type())
-{
-}
-
-void DisplacementNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    if ((height - midlevel == 0.0f) || (scale == 0.0f)) {
-      folder.make_zero();
-    }
-  }
-}
-
-void DisplacementNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *height_in = input("Height");
-  ShaderInput *midlevel_in = input("Midlevel");
-  ShaderInput *scale_in = input("Scale");
-  ShaderInput *normal_in = input("Normal");
-  ShaderOutput *displacement_out = output("Displacement");
-
-  compiler.add_node(NODE_DISPLACEMENT,
-                    compiler.encode_uchar4(compiler.stack_assign(height_in),
-                                           compiler.stack_assign(midlevel_in),
-                                           compiler.stack_assign(scale_in),
-                                           compiler.stack_assign_if_linked(normal_in)),
-                    compiler.stack_assign(displacement_out),
-                    space);
-}
-
-void DisplacementNode::compile(OSLCompiler &compiler)
-{
-  compiler.parameter(this, "space");
-  compiler.add(this, "node_displacement");
-}
-
-/* Vector Displacement */
-
-NODE_DEFINE(VectorDisplacementNode)
-{
-  NodeType *type = NodeType::add("vector_displacement", create, NodeType::SHADER);
-
-  static NodeEnum space_enum;
-  space_enum.insert("tangent", NODE_NORMAL_MAP_TANGENT);
-  space_enum.insert("object", NODE_NORMAL_MAP_OBJECT);
-  space_enum.insert("world", NODE_NORMAL_MAP_WORLD);
-
-  SOCKET_ENUM(space, "Space", space_enum, NODE_NORMAL_MAP_TANGENT);
-  SOCKET_STRING(attribute, "Attribute", ustring());
-
-  SOCKET_IN_COLOR(vector, "Vector", zero_float3());
-  SOCKET_IN_FLOAT(midlevel, "Midlevel", 0.0f);
-  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
-
-  SOCKET_OUT_VECTOR(displacement, "Displacement");
-
-  return type;
-}
-
-VectorDisplacementNode::VectorDisplacementNode() : ShaderNode(get_node_type())
-{
-}
-
-void VectorDisplacementNode::constant_fold(const ConstantFolder &folder)
-{
-  if (folder.all_inputs_constant()) {
-    if ((vector == zero_float3() && midlevel == 0.0f) || (scale == 0.0f)) {
-      folder.make_zero();
-    }
-  }
-}
-
-void VectorDisplacementNode::attributes(Shader *shader, AttributeRequestSet *attributes)
-{
-  if (shader->has_surface_link() && space == NODE_NORMAL_MAP_TANGENT) {
-    if (attribute.empty()) {
-      attributes->add(ATTR_STD_UV_TANGENT);
-      attributes->add(ATTR_STD_UV_TANGENT_SIGN);
-    }
-    else {
-      attributes->add(ustring((string(attribute.c_str()) + ".tangent").c_str()));
-      attributes->add(ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
-    }
-  }
-
-  ShaderNode::attributes(shader, attributes);
-}
-
-void VectorDisplacementNode::compile(SVMCompiler &compiler)
-{
-  ShaderInput *vector_in = input("Vector");
-  ShaderInput *midlevel_in = input("Midlevel");
-  ShaderInput *scale_in = input("Scale");
-  ShaderOutput *displacement_out = output("Displacement");
-  int attr = 0, attr_sign = 0;
-
-  if (space == NODE_NORMAL_MAP_TANGENT) {
-    if (attribute.empty()) {
-      attr = compiler.attribute(ATTR_STD_UV_TANGENT);
-      attr_sign = compiler.attribute(ATTR_STD_UV_TANGENT_SIGN);
-    }
-    else {
-      attr = compiler.attribute(ustring((string(attribute.c_str()) + ".tangent").c_str()));
-      attr_sign = compiler.attribute(
-          ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
-    }
-  }
-
-  compiler.add_node(NODE_VECTOR_DISPLACEMENT,
-                    compiler.encode_uchar4(compiler.stack_assign(vector_in),
-                                           compiler.stack_assign(midlevel_in),
-                                           compiler.stack_assign(scale_in),
-                                           compiler.stack_assign(displacement_out)),
-                    attr,
-                    attr_sign);
-
-  compiler.add_node(space);
-}
-
-void VectorDisplacementNode::compile(OSLCompiler &compiler)
-{
-  if (space == NODE_NORMAL_MAP_TANGENT) {
-    if (attribute.empty()) {
-      compiler.parameter("attr_name", ustring("geom:tangent"));
-      compiler.parameter("attr_sign_name", ustring("geom:tangent_sign"));
-    }
-    else {
-      compiler.parameter("attr_name", ustring((string(attribute.c_str()) + ".tangent").c_str()));
-      compiler.parameter("attr_sign_name",
-                         ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
-    }
-  }
-
-  compiler.parameter(this, "space");
-  compiler.add(this, "node_vector_displacement");
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/nodes.h b/intern/cycles/render/nodes.h
deleted file mode 100644
index 5ac72835ac5..00000000000
--- a/intern/cycles/render/nodes.h
+++ /dev/null
@@ -1,1569 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __NODES_H__
-#define __NODES_H__
-
-#include "graph/node.h"
-#include "render/graph.h"
-#include "render/image.h"
-
-#include "util/util_array.h"
-#include "util/util_string.h"
-
-CCL_NAMESPACE_BEGIN
-
-class ImageManager;
-class LightManager;
-class Scene;
-class Shader;
-
-/* Texture Mapping */
-
-class TextureMapping {
- public:
-  TextureMapping();
-  Transform compute_transform();
-  bool skip();
-  void compile(SVMCompiler &compiler, int offset_in, int offset_out);
-  int compile(SVMCompiler &compiler, ShaderInput *vector_in);
-  void compile(OSLCompiler &compiler);
-
-  int compile_begin(SVMCompiler &compiler, ShaderInput *vector_in);
-  void compile_end(SVMCompiler &compiler, ShaderInput *vector_in, int vector_offset);
-
-  float3 translation;
-  float3 rotation;
-  float3 scale;
-
-  float3 min, max;
-  bool use_minmax;
-
-  enum Type { POINT = 0, TEXTURE = 1, VECTOR = 2, NORMAL = 3 };
-  Type type;
-
-  enum Mapping { NONE = 0, X = 1, Y = 2, Z = 3 };
-  Mapping x_mapping, y_mapping, z_mapping;
-
-  enum Projection { FLAT, CUBE, TUBE, SPHERE };
-  Projection projection;
-};
-
-/* Nodes */
-
-class TextureNode : public ShaderNode {
- public:
-  explicit TextureNode(const NodeType *node_type) : ShaderNode(node_type)
-  {
-  }
-  TextureMapping tex_mapping;
-  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, translation)
-  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, rotation)
-  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, scale)
-  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, min)
-  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, max)
-  NODE_SOCKET_API_STRUCT_MEMBER(bool, tex_mapping, use_minmax)
-  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Type, tex_mapping, type)
-  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Mapping, tex_mapping, x_mapping)
-  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Mapping, tex_mapping, y_mapping)
-  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Mapping, tex_mapping, z_mapping)
-  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Projection, tex_mapping, projection)
-};
-
-/* Any node which uses image manager's slot should be a subclass of this one. */
-class ImageSlotTextureNode : public TextureNode {
- public:
-  explicit ImageSlotTextureNode(const NodeType *node_type) : TextureNode(node_type)
-  {
-    special_type = SHADER_SPECIAL_TYPE_IMAGE_SLOT;
-  }
-
-  virtual bool equals(const ShaderNode &other)
-  {
-    const ImageSlotTextureNode &other_node = (const ImageSlotTextureNode &)other;
-    return TextureNode::equals(other) && handle == other_node.handle;
-  }
-
-  ImageHandle handle;
-};
-
-class ImageTextureNode : public ImageSlotTextureNode {
- public:
-  SHADER_NODE_NO_CLONE_CLASS(ImageTextureNode)
-  ShaderNode *clone(ShaderGraph *graph) const;
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-
-  virtual bool equals(const ShaderNode &other)
-  {
-    const ImageTextureNode &other_node = (const ImageTextureNode &)other;
-    return ImageSlotTextureNode::equals(other) && animated == other_node.animated;
-  }
-
-  ImageParams image_params() const;
-
-  /* Parameters. */
-  NODE_SOCKET_API(ustring, filename)
-  NODE_SOCKET_API(ustring, colorspace)
-  NODE_SOCKET_API(ImageAlphaType, alpha_type)
-  NODE_SOCKET_API(NodeImageProjection, projection)
-  NODE_SOCKET_API(InterpolationType, interpolation)
-  NODE_SOCKET_API(ExtensionType, extension)
-  NODE_SOCKET_API(float, projection_blend)
-  NODE_SOCKET_API(bool, animated)
-  NODE_SOCKET_API(float3, vector)
-  NODE_SOCKET_API_ARRAY(array<int>, tiles)
-
- protected:
-  void cull_tiles(Scene *scene, ShaderGraph *graph);
-};
-
-class EnvironmentTextureNode : public ImageSlotTextureNode {
- public:
-  SHADER_NODE_NO_CLONE_CLASS(EnvironmentTextureNode)
-  ShaderNode *clone(ShaderGraph *graph) const;
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-
-  virtual bool equals(const ShaderNode &other)
-  {
-    const EnvironmentTextureNode &other_node = (const EnvironmentTextureNode &)other;
-    return ImageSlotTextureNode::equals(other) && animated == other_node.animated;
-  }
-
-  ImageParams image_params() const;
-
-  /* Parameters. */
-  NODE_SOCKET_API(ustring, filename)
-  NODE_SOCKET_API(ustring, colorspace)
-  NODE_SOCKET_API(ImageAlphaType, alpha_type)
-  NODE_SOCKET_API(NodeEnvironmentProjection, projection)
-  NODE_SOCKET_API(InterpolationType, interpolation)
-  NODE_SOCKET_API(bool, animated)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class SkyTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(SkyTextureNode)
-
-  NODE_SOCKET_API(NodeSkyType, sky_type)
-  NODE_SOCKET_API(float3, sun_direction)
-  NODE_SOCKET_API(float, turbidity)
-  NODE_SOCKET_API(float, ground_albedo)
-  NODE_SOCKET_API(bool, sun_disc)
-  NODE_SOCKET_API(float, sun_size)
-  NODE_SOCKET_API(float, sun_intensity)
-  NODE_SOCKET_API(float, sun_elevation)
-  NODE_SOCKET_API(float, sun_rotation)
-  NODE_SOCKET_API(float, altitude)
-  NODE_SOCKET_API(float, air_density)
-  NODE_SOCKET_API(float, dust_density)
-  NODE_SOCKET_API(float, ozone_density)
-  NODE_SOCKET_API(float3, vector)
-  ImageHandle handle;
-
-  float get_sun_size()
-  {
-    /* Clamping for numerical precision. */
-    return fmaxf(sun_size, 0.0005f);
-  }
-};
-
-class OutputNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(OutputNode)
-
-  NODE_SOCKET_API(Node *, surface)
-  NODE_SOCKET_API(Node *, volume)
-  NODE_SOCKET_API(float3, displacement)
-  NODE_SOCKET_API(float3, normal)
-
-  /* Don't allow output node de-duplication. */
-  virtual bool equals(const ShaderNode & /*other*/)
-  {
-    return false;
-  }
-};
-
-class OutputAOVNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(OutputAOVNode)
-  virtual void simplify_settings(Scene *scene);
-
-  NODE_SOCKET_API(float, value)
-  NODE_SOCKET_API(float3, color)
-
-  NODE_SOCKET_API(ustring, name)
-
-  /* Don't allow output node de-duplication. */
-  virtual bool equals(const ShaderNode & /*other*/)
-  {
-    return false;
-  }
-
-  int offset;
-  bool is_color;
-};
-
-class GradientTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(GradientTextureNode)
-
-  NODE_SOCKET_API(NodeGradientType, gradient_type)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class NoiseTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(NoiseTextureNode)
-
-  NODE_SOCKET_API(int, dimensions)
-  NODE_SOCKET_API(float, w)
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float, detail)
-  NODE_SOCKET_API(float, roughness)
-  NODE_SOCKET_API(float, distortion)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class VoronoiTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(VoronoiTextureNode)
-
-  virtual int get_feature()
-  {
-    int result = ShaderNode::get_feature();
-    if (dimensions == 4) {
-      result |= KERNEL_FEATURE_NODE_VORONOI_EXTRA;
-    }
-    else if (dimensions >= 2 && feature == NODE_VORONOI_SMOOTH_F1) {
-      result |= KERNEL_FEATURE_NODE_VORONOI_EXTRA;
-    }
-    return result;
-  }
-
-  NODE_SOCKET_API(int, dimensions)
-  NODE_SOCKET_API(NodeVoronoiDistanceMetric, metric)
-  NODE_SOCKET_API(NodeVoronoiFeature, feature)
-  NODE_SOCKET_API(float, w)
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float, exponent)
-  NODE_SOCKET_API(float, smoothness)
-  NODE_SOCKET_API(float, randomness)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class MusgraveTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(MusgraveTextureNode)
-
-  NODE_SOCKET_API(int, dimensions)
-  NODE_SOCKET_API(NodeMusgraveType, musgrave_type)
-  NODE_SOCKET_API(float, w)
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float, detail)
-  NODE_SOCKET_API(float, dimension)
-  NODE_SOCKET_API(float, lacunarity)
-  NODE_SOCKET_API(float, offset)
-  NODE_SOCKET_API(float, gain)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class WaveTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(WaveTextureNode)
-
-  NODE_SOCKET_API(NodeWaveType, wave_type)
-  NODE_SOCKET_API(NodeWaveBandsDirection, bands_direction)
-  NODE_SOCKET_API(NodeWaveRingsDirection, rings_direction)
-  NODE_SOCKET_API(NodeWaveProfile, profile)
-
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float, distortion)
-  NODE_SOCKET_API(float, detail)
-  NODE_SOCKET_API(float, detail_scale)
-  NODE_SOCKET_API(float, detail_roughness)
-  NODE_SOCKET_API(float, phase)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class MagicTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(MagicTextureNode)
-
-  NODE_SOCKET_API(int, depth)
-  NODE_SOCKET_API(float3, vector)
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float, distortion)
-};
-
-class CheckerTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(CheckerTextureNode)
-
-  NODE_SOCKET_API(float3, vector)
-  NODE_SOCKET_API(float3, color1)
-  NODE_SOCKET_API(float3, color2)
-  NODE_SOCKET_API(float, scale)
-};
-
-class BrickTextureNode : public TextureNode {
- public:
-  SHADER_NODE_CLASS(BrickTextureNode)
-
-  NODE_SOCKET_API(float, offset)
-  NODE_SOCKET_API(float, squash)
-  NODE_SOCKET_API(int, offset_frequency)
-  NODE_SOCKET_API(int, squash_frequency)
-
-  NODE_SOCKET_API(float3, color1)
-  NODE_SOCKET_API(float3, color2)
-  NODE_SOCKET_API(float3, mortar)
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float, mortar_size)
-  NODE_SOCKET_API(float, mortar_smooth)
-  NODE_SOCKET_API(float, bias)
-  NODE_SOCKET_API(float, brick_width)
-  NODE_SOCKET_API(float, row_height)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class PointDensityTextureNode : public ShaderNode {
- public:
-  SHADER_NODE_NO_CLONE_CLASS(PointDensityTextureNode)
-
-  ~PointDensityTextureNode();
-  ShaderNode *clone(ShaderGraph *graph) const;
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  /* Parameters. */
-  NODE_SOCKET_API(ustring, filename)
-  NODE_SOCKET_API(NodeTexVoxelSpace, space)
-  NODE_SOCKET_API(InterpolationType, interpolation)
-  NODE_SOCKET_API(Transform, tfm)
-  NODE_SOCKET_API(float3, vector)
-
-  /* Runtime. */
-  ImageHandle handle;
-
-  ImageParams image_params() const;
-
-  virtual bool equals(const ShaderNode &other)
-  {
-    const PointDensityTextureNode &other_node = (const PointDensityTextureNode &)other;
-    return ShaderNode::equals(other) && handle == other_node.handle;
-  }
-};
-
-class IESLightNode : public TextureNode {
- public:
-  SHADER_NODE_NO_CLONE_CLASS(IESLightNode)
-
-  ~IESLightNode();
-  ShaderNode *clone(ShaderGraph *graph) const;
-
-  NODE_SOCKET_API(ustring, filename)
-  NODE_SOCKET_API(ustring, ies)
-
-  NODE_SOCKET_API(float, strength)
-  NODE_SOCKET_API(float3, vector)
-
- private:
-  LightManager *light_manager;
-  int slot;
-
-  void get_slot();
-};
-
-class WhiteNoiseTextureNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(WhiteNoiseTextureNode)
-
-  NODE_SOCKET_API(int, dimensions)
-  NODE_SOCKET_API(float3, vector)
-  NODE_SOCKET_API(float, w)
-};
-
-class MappingNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(MappingNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, vector)
-  NODE_SOCKET_API(float3, location)
-  NODE_SOCKET_API(float3, rotation)
-  NODE_SOCKET_API(float3, scale)
-  NODE_SOCKET_API(NodeMappingType, mapping_type)
-};
-
-class RGBToBWNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(RGBToBWNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, color)
-};
-
-class ConvertNode : public ShaderNode {
- public:
-  ConvertNode(SocketType::Type from, SocketType::Type to, bool autoconvert = false);
-  ConvertNode(const ConvertNode &other);
-  SHADER_NODE_BASE_CLASS(ConvertNode)
-
-  void constant_fold(const ConstantFolder &folder);
-
- private:
-  SocketType::Type from, to;
-
-  union {
-    float value_float;
-    int value_int;
-    float3 value_color;
-    float3 value_vector;
-    float3 value_point;
-    float3 value_normal;
-  };
-  ustring value_string;
-
-  static const int MAX_TYPE = 12;
-  static bool register_types();
-  static Node *create(const NodeType *type);
-  static const NodeType *node_types[MAX_TYPE][MAX_TYPE];
-  static bool initialized;
-};
-
-class BsdfBaseNode : public ShaderNode {
- public:
-  BsdfBaseNode(const NodeType *node_type);
-
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  virtual ClosureType get_closure_type()
-  {
-    return closure;
-  }
-  virtual bool has_bump();
-
-  virtual bool equals(const ShaderNode & /*other*/)
-  {
-    /* TODO(sergey): With some care BSDF nodes can be de-duplicated. */
-    return false;
-  }
-
-  virtual int get_feature()
-  {
-    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_BSDF;
-  }
-
- protected:
-  ClosureType closure;
-};
-
-class BsdfNode : public BsdfBaseNode {
- public:
-  explicit BsdfNode(const NodeType *node_type);
-  SHADER_NODE_BASE_CLASS(BsdfNode)
-
-  void compile(SVMCompiler &compiler,
-               ShaderInput *param1,
-               ShaderInput *param2,
-               ShaderInput *param3 = NULL,
-               ShaderInput *param4 = NULL);
-
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(float, surface_mix_weight)
-};
-
-class AnisotropicBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(AnisotropicBsdfNode)
-
-  NODE_SOCKET_API(float3, tangent)
-  NODE_SOCKET_API(float, roughness)
-  NODE_SOCKET_API(float, anisotropy)
-  NODE_SOCKET_API(float, rotation)
-  NODE_SOCKET_API(ClosureType, distribution)
-
-  ClosureType get_closure_type()
-  {
-    return distribution;
-  }
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-};
-
-class DiffuseBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(DiffuseBsdfNode)
-
-  NODE_SOCKET_API(float, roughness)
-};
-
-/* Disney principled BRDF */
-class PrincipledBsdfNode : public BsdfBaseNode {
- public:
-  SHADER_NODE_CLASS(PrincipledBsdfNode)
-
-  void expand(ShaderGraph *graph);
-  bool has_surface_bssrdf();
-  bool has_bssrdf_bump();
-  void compile(SVMCompiler &compiler,
-               ShaderInput *metallic,
-               ShaderInput *subsurface,
-               ShaderInput *subsurface_radius,
-               ShaderInput *subsurface_ior,
-               ShaderInput *subsurface_anisotropy,
-               ShaderInput *specular,
-               ShaderInput *roughness,
-               ShaderInput *specular_tint,
-               ShaderInput *anisotropic,
-               ShaderInput *sheen,
-               ShaderInput *sheen_tint,
-               ShaderInput *clearcoat,
-               ShaderInput *clearcoat_roughness,
-               ShaderInput *ior,
-               ShaderInput *transmission,
-               ShaderInput *anisotropic_rotation,
-               ShaderInput *transmission_roughness);
-
-  NODE_SOCKET_API(float3, base_color)
-  NODE_SOCKET_API(float3, subsurface_color)
-  NODE_SOCKET_API(float3, subsurface_radius)
-  NODE_SOCKET_API(float, subsurface_ior)
-  NODE_SOCKET_API(float, subsurface_anisotropy)
-  NODE_SOCKET_API(float, metallic)
-  NODE_SOCKET_API(float, subsurface)
-  NODE_SOCKET_API(float, specular)
-  NODE_SOCKET_API(float, roughness)
-  NODE_SOCKET_API(float, specular_tint)
-  NODE_SOCKET_API(float, anisotropic)
-  NODE_SOCKET_API(float, sheen)
-  NODE_SOCKET_API(float, sheen_tint)
-  NODE_SOCKET_API(float, clearcoat)
-  NODE_SOCKET_API(float, clearcoat_roughness)
-  NODE_SOCKET_API(float, ior)
-  NODE_SOCKET_API(float, transmission)
-  NODE_SOCKET_API(float, anisotropic_rotation)
-  NODE_SOCKET_API(float, transmission_roughness)
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(float3, clearcoat_normal)
-  NODE_SOCKET_API(float3, tangent)
-  NODE_SOCKET_API(float, surface_mix_weight)
-  NODE_SOCKET_API(ClosureType, distribution)
-  NODE_SOCKET_API(ClosureType, subsurface_method)
-  NODE_SOCKET_API(float3, emission)
-  NODE_SOCKET_API(float, emission_strength)
-  NODE_SOCKET_API(float, alpha)
-
- private:
-  ClosureType distribution_orig;
-
- public:
-  bool has_integrator_dependency();
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-};
-
-class TranslucentBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(TranslucentBsdfNode)
-};
-
-class TransparentBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(TransparentBsdfNode)
-
-  bool has_surface_transparent()
-  {
-    return true;
-  }
-};
-
-class VelvetBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(VelvetBsdfNode)
-
-  NODE_SOCKET_API(float, sigma)
-};
-
-class GlossyBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(GlossyBsdfNode)
-
-  void simplify_settings(Scene *scene);
-  bool has_integrator_dependency();
-  ClosureType get_closure_type()
-  {
-    return distribution;
-  }
-
-  NODE_SOCKET_API(float, roughness)
-  NODE_SOCKET_API(ClosureType, distribution)
-
- private:
-  float roughness_orig;
-  ClosureType distribution_orig;
-};
-
-class GlassBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(GlassBsdfNode)
-
-  void simplify_settings(Scene *scene);
-  bool has_integrator_dependency();
-  ClosureType get_closure_type()
-  {
-    return distribution;
-  }
-
-  NODE_SOCKET_API(float, roughness)
-  NODE_SOCKET_API(float, IOR)
-  NODE_SOCKET_API(ClosureType, distribution)
-
- private:
-  float roughness_orig;
-  ClosureType distribution_orig;
-};
-
-class RefractionBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(RefractionBsdfNode)
-
-  void simplify_settings(Scene *scene);
-  bool has_integrator_dependency();
-  ClosureType get_closure_type()
-  {
-    return distribution;
-  }
-
-  NODE_SOCKET_API(float, roughness)
-  NODE_SOCKET_API(float, IOR)
-  NODE_SOCKET_API(ClosureType, distribution)
-
- private:
-  float roughness_orig;
-  ClosureType distribution_orig;
-};
-
-class ToonBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(ToonBsdfNode)
-
-  NODE_SOCKET_API(float, smooth)
-  NODE_SOCKET_API(float, size)
-  NODE_SOCKET_API(ClosureType, component)
-};
-
-class SubsurfaceScatteringNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(SubsurfaceScatteringNode)
-  bool has_surface_bssrdf()
-  {
-    return true;
-  }
-  bool has_bssrdf_bump();
-  ClosureType get_closure_type()
-  {
-    return method;
-  }
-
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float3, radius)
-  NODE_SOCKET_API(float, subsurface_ior)
-  NODE_SOCKET_API(float, subsurface_anisotropy)
-  NODE_SOCKET_API(ClosureType, method)
-};
-
-class EmissionNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(EmissionNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  bool has_surface_emission()
-  {
-    return true;
-  }
-  bool has_volume_support()
-  {
-    return true;
-  }
-
-  virtual int get_feature()
-  {
-    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_EMISSION;
-  }
-
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float, strength)
-  NODE_SOCKET_API(float, surface_mix_weight)
-};
-
-class BackgroundNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(BackgroundNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  virtual int get_feature()
-  {
-    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_EMISSION;
-  }
-
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float, strength)
-  NODE_SOCKET_API(float, surface_mix_weight)
-};
-
-class HoldoutNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(HoldoutNode)
-  virtual ClosureType get_closure_type()
-  {
-    return CLOSURE_HOLDOUT_ID;
-  }
-
-  NODE_SOCKET_API(float, surface_mix_weight)
-  NODE_SOCKET_API(float, volume_mix_weight)
-};
-
-class AmbientOcclusionNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(AmbientOcclusionNode)
-
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  virtual int get_feature()
-  {
-    return KERNEL_FEATURE_NODE_RAYTRACE;
-  }
-
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float, distance)
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(int, samples)
-
-  NODE_SOCKET_API(bool, only_local)
-  NODE_SOCKET_API(bool, inside)
-};
-
-class VolumeNode : public ShaderNode {
- public:
-  VolumeNode(const NodeType *node_type);
-  SHADER_NODE_BASE_CLASS(VolumeNode)
-
-  void compile(SVMCompiler &compiler, ShaderInput *param1, ShaderInput *param2);
-  virtual int get_feature()
-  {
-    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_VOLUME;
-  }
-  virtual ClosureType get_closure_type()
-  {
-    return closure;
-  }
-  virtual bool has_volume_support()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float, density)
-  NODE_SOCKET_API(float, volume_mix_weight)
-
- protected:
-  ClosureType closure;
-
- public:
-  virtual bool equals(const ShaderNode & /*other*/)
-  {
-    /* TODO(sergey): With some care Volume nodes can be de-duplicated. */
-    return false;
-  }
-};
-
-class AbsorptionVolumeNode : public VolumeNode {
- public:
-  SHADER_NODE_CLASS(AbsorptionVolumeNode)
-};
-
-class ScatterVolumeNode : public VolumeNode {
- public:
-  SHADER_NODE_CLASS(ScatterVolumeNode)
-
-  NODE_SOCKET_API(float, anisotropy)
-};
-
-class PrincipledVolumeNode : public VolumeNode {
- public:
-  SHADER_NODE_CLASS(PrincipledVolumeNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(ustring, density_attribute)
-  NODE_SOCKET_API(ustring, color_attribute)
-  NODE_SOCKET_API(ustring, temperature_attribute)
-
-  NODE_SOCKET_API(float, anisotropy)
-  NODE_SOCKET_API(float3, absorption_color)
-  NODE_SOCKET_API(float, emission_strength)
-  NODE_SOCKET_API(float3, emission_color)
-  NODE_SOCKET_API(float, blackbody_intensity)
-  NODE_SOCKET_API(float3, blackbody_tint)
-  NODE_SOCKET_API(float, temperature)
-};
-
-/* Interface between the I/O sockets and the SVM/OSL backend. */
-class PrincipledHairBsdfNode : public BsdfBaseNode {
- public:
-  SHADER_NODE_CLASS(PrincipledHairBsdfNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-
-  /* Longitudinal roughness. */
-  NODE_SOCKET_API(float, roughness)
-  /* Azimuthal roughness. */
-  NODE_SOCKET_API(float, radial_roughness)
-  /* Randomization factor for roughnesses. */
-  NODE_SOCKET_API(float, random_roughness)
-  /* Longitudinal roughness factor for only the diffuse bounce (shiny undercoat). */
-  NODE_SOCKET_API(float, coat)
-  /* Index of reflection. */
-  NODE_SOCKET_API(float, ior)
-  /* Cuticle tilt angle. */
-  NODE_SOCKET_API(float, offset)
-  /* Direct coloring's color. */
-  NODE_SOCKET_API(float3, color)
-  /* Melanin concentration. */
-  NODE_SOCKET_API(float, melanin)
-  /* Melanin redness ratio. */
-  NODE_SOCKET_API(float, melanin_redness)
-  /* Dye color. */
-  NODE_SOCKET_API(float3, tint)
-  /* Randomization factor for melanin quantities. */
-  NODE_SOCKET_API(float, random_color)
-  /* Absorption coefficient (unfiltered). */
-  NODE_SOCKET_API(float3, absorption_coefficient)
-
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(float, surface_mix_weight)
-  /* If linked, here will be the given random number. */
-  NODE_SOCKET_API(float, random)
-  /* Selected coloring parametrization. */
-  NODE_SOCKET_API(NodePrincipledHairParametrization, parametrization)
-};
-
-class HairBsdfNode : public BsdfNode {
- public:
-  SHADER_NODE_CLASS(HairBsdfNode)
-  ClosureType get_closure_type()
-  {
-    return component;
-  }
-
-  NODE_SOCKET_API(ClosureType, component)
-  NODE_SOCKET_API(float, offset)
-  NODE_SOCKET_API(float, roughness_u)
-  NODE_SOCKET_API(float, roughness_v)
-  NODE_SOCKET_API(float3, tangent)
-};
-
-class GeometryNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(GeometryNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  int get_group();
-
-  NODE_SOCKET_API(float3, normal_osl)
-};
-
-class TextureCoordinateNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(TextureCoordinateNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(float3, normal_osl)
-  NODE_SOCKET_API(bool, from_dupli)
-  NODE_SOCKET_API(bool, use_transform)
-  NODE_SOCKET_API(Transform, ob_tfm)
-};
-
-class UVMapNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(UVMapNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(ustring, attribute)
-  NODE_SOCKET_API(bool, from_dupli)
-};
-
-class LightPathNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(LightPathNode)
-};
-
-class LightFalloffNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(LightFalloffNode)
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(float, strength)
-  NODE_SOCKET_API(float, smooth)
-};
-
-class ObjectInfoNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(ObjectInfoNode)
-};
-
-class ParticleInfoNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(ParticleInfoNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-};
-
-class HairInfoNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(HairInfoNode)
-
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  virtual int get_feature()
-  {
-    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_HAIR;
-  }
-};
-
-class VolumeInfoNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(VolumeInfoNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  void expand(ShaderGraph *graph);
-};
-
-class VertexColorNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(VertexColorNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(ustring, layer_name)
-};
-
-class ValueNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(ValueNode)
-
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, value)
-};
-
-class ColorNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(ColorNode)
-
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, value)
-};
-
-class AddClosureNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(AddClosureNode)
-  void constant_fold(const ConstantFolder &folder);
-};
-
-class MixClosureNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(MixClosureNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, fac)
-};
-
-class MixClosureWeightNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(MixClosureWeightNode)
-
-  NODE_SOCKET_API(float, weight)
-  NODE_SOCKET_API(float, fac)
-};
-
-class InvertNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(InvertNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, fac)
-  NODE_SOCKET_API(float3, color)
-};
-
-class MixNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(MixNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(NodeMix, mix_type)
-  NODE_SOCKET_API(bool, use_clamp)
-  NODE_SOCKET_API(float3, color1)
-  NODE_SOCKET_API(float3, color2)
-  NODE_SOCKET_API(float, fac)
-};
-
-class CombineRGBNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(CombineRGBNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, r)
-  NODE_SOCKET_API(float, g)
-  NODE_SOCKET_API(float, b)
-};
-
-class CombineHSVNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(CombineHSVNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, h)
-  NODE_SOCKET_API(float, s)
-  NODE_SOCKET_API(float, v)
-};
-
-class CombineXYZNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(CombineXYZNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, x)
-  NODE_SOCKET_API(float, y)
-  NODE_SOCKET_API(float, z)
-};
-
-class GammaNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(GammaNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float, gamma)
-};
-
-class BrightContrastNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(BrightContrastNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float, bright)
-  NODE_SOCKET_API(float, contrast)
-};
-
-class SeparateRGBNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(SeparateRGBNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, color)
-};
-
-class SeparateHSVNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(SeparateHSVNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, color)
-};
-
-class SeparateXYZNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(SeparateXYZNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, vector)
-};
-
-class HSVNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(HSVNode)
-
-  NODE_SOCKET_API(float, hue)
-  NODE_SOCKET_API(float, saturation)
-  NODE_SOCKET_API(float, value)
-  NODE_SOCKET_API(float, fac)
-  NODE_SOCKET_API(float3, color)
-};
-
-class AttributeNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(AttributeNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(ustring, attribute)
-};
-
-class CameraNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(CameraNode)
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-};
-
-class FresnelNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(FresnelNode)
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(float, IOR)
-};
-
-class LayerWeightNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(LayerWeightNode)
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(float, blend)
-};
-
-class WireframeNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(WireframeNode)
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(float, size)
-  NODE_SOCKET_API(bool, use_pixel_size)
-};
-
-class WavelengthNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(WavelengthNode)
-
-  NODE_SOCKET_API(float, wavelength)
-};
-
-class BlackbodyNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(BlackbodyNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, temperature)
-};
-
-class MapRangeNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(MapRangeNode)
-  void expand(ShaderGraph *graph);
-
-  NODE_SOCKET_API(float, value)
-  NODE_SOCKET_API(float, from_min)
-  NODE_SOCKET_API(float, from_max)
-  NODE_SOCKET_API(float, to_min)
-  NODE_SOCKET_API(float, to_max)
-  NODE_SOCKET_API(float, steps)
-  NODE_SOCKET_API(NodeMapRangeType, range_type)
-  NODE_SOCKET_API(bool, clamp)
-};
-
-class ClampNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(ClampNode)
-  void constant_fold(const ConstantFolder &folder);
-  NODE_SOCKET_API(float, value)
-  NODE_SOCKET_API(float, min)
-  NODE_SOCKET_API(float, max)
-  NODE_SOCKET_API(NodeClampType, clamp_type)
-};
-
-class MathNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(MathNode)
-  void expand(ShaderGraph *graph);
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float, value1)
-  NODE_SOCKET_API(float, value2)
-  NODE_SOCKET_API(float, value3)
-  NODE_SOCKET_API(NodeMathType, math_type)
-  NODE_SOCKET_API(bool, use_clamp)
-};
-
-class NormalNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(NormalNode)
-
-  NODE_SOCKET_API(float3, direction)
-  NODE_SOCKET_API(float3, normal)
-};
-
-class VectorMathNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(VectorMathNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API(float3, vector1)
-  NODE_SOCKET_API(float3, vector2)
-  NODE_SOCKET_API(float3, vector3)
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(NodeVectorMathType, math_type)
-};
-
-class VectorRotateNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(VectorRotateNode)
-
-  NODE_SOCKET_API(NodeVectorRotateType, rotate_type)
-  NODE_SOCKET_API(bool, invert)
-  NODE_SOCKET_API(float3, vector)
-  NODE_SOCKET_API(float3, center)
-  NODE_SOCKET_API(float3, axis)
-  NODE_SOCKET_API(float, angle)
-  NODE_SOCKET_API(float3, rotation)
-};
-
-class VectorTransformNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(VectorTransformNode)
-
-  NODE_SOCKET_API(NodeVectorTransformType, transform_type)
-  NODE_SOCKET_API(NodeVectorTransformConvertSpace, convert_from)
-  NODE_SOCKET_API(NodeVectorTransformConvertSpace, convert_to)
-  NODE_SOCKET_API(float3, vector)
-};
-
-class BumpNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(BumpNode)
-  void constant_fold(const ConstantFolder &folder);
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  virtual int get_feature()
-  {
-    return KERNEL_FEATURE_NODE_BUMP;
-  }
-
-  NODE_SOCKET_API(bool, invert)
-  NODE_SOCKET_API(bool, use_object_space)
-  NODE_SOCKET_API(float, height)
-  NODE_SOCKET_API(float, sample_center)
-  NODE_SOCKET_API(float, sample_x)
-  NODE_SOCKET_API(float, sample_y)
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(float, strength)
-  NODE_SOCKET_API(float, distance)
-};
-
-class CurvesNode : public ShaderNode {
- public:
-  explicit CurvesNode(const NodeType *node_type);
-  SHADER_NODE_BASE_CLASS(CurvesNode)
-
-  NODE_SOCKET_API_ARRAY(array<float3>, curves)
-  NODE_SOCKET_API(float, min_x)
-  NODE_SOCKET_API(float, max_x)
-  NODE_SOCKET_API(float, fac)
-  NODE_SOCKET_API(float3, value)
-
- protected:
-  using ShaderNode::constant_fold;
-  void constant_fold(const ConstantFolder &folder, ShaderInput *value_in);
-  void compile(SVMCompiler &compiler, int type, ShaderInput *value_in, ShaderOutput *value_out);
-  void compile(OSLCompiler &compiler, const char *name);
-};
-
-class RGBCurvesNode : public CurvesNode {
- public:
-  SHADER_NODE_CLASS(RGBCurvesNode)
-  void constant_fold(const ConstantFolder &folder);
-};
-
-class VectorCurvesNode : public CurvesNode {
- public:
-  SHADER_NODE_CLASS(VectorCurvesNode)
-  void constant_fold(const ConstantFolder &folder);
-};
-
-class FloatCurveNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(FloatCurveNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API_ARRAY(array<float>, curve)
-  NODE_SOCKET_API(float, min_x)
-  NODE_SOCKET_API(float, max_x)
-  NODE_SOCKET_API(float, fac)
-  NODE_SOCKET_API(float, value)
-};
-
-class RGBRampNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(RGBRampNode)
-  void constant_fold(const ConstantFolder &folder);
-
-  NODE_SOCKET_API_ARRAY(array<float3>, ramp)
-  NODE_SOCKET_API_ARRAY(array<float>, ramp_alpha)
-  NODE_SOCKET_API(float, fac)
-  NODE_SOCKET_API(bool, interpolate)
-};
-
-class SetNormalNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(SetNormalNode)
-  NODE_SOCKET_API(float3, direction)
-};
-
-class OSLNode final : public ShaderNode {
- public:
-  static OSLNode *create(ShaderGraph *graph, size_t num_inputs, const OSLNode *from = NULL);
-  ~OSLNode();
-
-  static void operator delete(void *ptr)
-  {
-    /* Override delete operator to silence new-delete-type-mismatch ASAN warnings
-     * regarding size mismatch in the destructor. This is intentional as we allocate
-     * extra space at the end of the node. */
-    ::operator delete(ptr);
-  }
-  static void operator delete(void *, void *)
-  {
-    /* Deliberately empty placement delete operator, to avoid MSVC warning C4291. */
-  }
-
-  ShaderNode *clone(ShaderGraph *graph) const;
-
-  char *input_default_value();
-  void add_input(ustring name, SocketType::Type type);
-  void add_output(ustring name, SocketType::Type type);
-
-  SHADER_NODE_NO_CLONE_CLASS(OSLNode)
-
-  /* Ideally we could better detect this, but we can't query this now. */
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  bool has_volume_support()
-  {
-    return true;
-  }
-
-  virtual bool equals(const ShaderNode & /*other*/)
-  {
-    return false;
-  }
-
-  string filepath;
-  string bytecode_hash;
-};
-
-class NormalMapNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(NormalMapNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(NodeNormalMapSpace, space)
-  NODE_SOCKET_API(ustring, attribute)
-  NODE_SOCKET_API(float, strength)
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(float3, normal_osl)
-};
-
-class TangentNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(TangentNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-
-  NODE_SOCKET_API(NodeTangentDirectionType, direction_type)
-  NODE_SOCKET_API(NodeTangentAxis, axis)
-  NODE_SOCKET_API(ustring, attribute)
-  NODE_SOCKET_API(float3, normal_osl)
-};
-
-class BevelNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(BevelNode)
-  bool has_spatial_varying()
-  {
-    return true;
-  }
-  virtual int get_feature()
-  {
-    return KERNEL_FEATURE_NODE_RAYTRACE;
-  }
-
-  NODE_SOCKET_API(float, radius)
-  NODE_SOCKET_API(float3, normal)
-  NODE_SOCKET_API(int, samples)
-};
-
-class DisplacementNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(DisplacementNode)
-  void constant_fold(const ConstantFolder &folder);
-  virtual int get_feature()
-  {
-    return KERNEL_FEATURE_NODE_BUMP;
-  }
-
-  NODE_SOCKET_API(NodeNormalMapSpace, space)
-  NODE_SOCKET_API(float, height)
-  NODE_SOCKET_API(float, midlevel)
-  NODE_SOCKET_API(float, scale)
-  NODE_SOCKET_API(float3, normal)
-};
-
-class VectorDisplacementNode : public ShaderNode {
- public:
-  SHADER_NODE_CLASS(VectorDisplacementNode)
-  void attributes(Shader *shader, AttributeRequestSet *attributes);
-  bool has_attribute_dependency()
-  {
-    return true;
-  }
-  void constant_fold(const ConstantFolder &folder);
-  virtual int get_feature()
-  {
-    return KERNEL_FEATURE_NODE_BUMP;
-  }
-
-  NODE_SOCKET_API(NodeNormalMapSpace, space)
-  NODE_SOCKET_API(ustring, attribute)
-  NODE_SOCKET_API(float3, vector)
-  NODE_SOCKET_API(float, midlevel)
-  NODE_SOCKET_API(float, scale)
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __NODES_H__ */
diff --git a/intern/cycles/render/object.cpp b/intern/cycles/render/object.cpp
deleted file mode 100644
index 330ae5ec0fc..00000000000
--- a/intern/cycles/render/object.cpp
+++ /dev/null
@@ -1,984 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/object.h"
-#include "device/device.h"
-#include "render/camera.h"
-#include "render/curves.h"
-#include "render/hair.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/particles.h"
-#include "render/scene.h"
-#include "render/stats.h"
-#include "render/volume.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_map.h"
-#include "util/util_murmurhash.h"
-#include "util/util_progress.h"
-#include "util/util_set.h"
-#include "util/util_task.h"
-#include "util/util_vector.h"
-
-#include "subd/subd_patch_table.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Global state of object transform update. */
-
-struct UpdateObjectTransformState {
-  /* Global state used by device_update_object_transform().
-   * Common for both threaded and non-threaded update.
-   */
-
-  /* Type of the motion required by the scene settings. */
-  Scene::MotionType need_motion;
-
-  /* Mapping from particle system to a index in packed particle array.
-   * Only used for read.
-   */
-  map<ParticleSystem *, int> particle_offset;
-
-  /* Motion offsets for each object. */
-  array<uint> motion_offset;
-
-  /* Packed object arrays. Those will be filled in. */
-  uint *object_flag;
-  uint *object_visibility;
-  KernelObject *objects;
-  Transform *object_motion_pass;
-  DecomposedTransform *object_motion;
-  float *object_volume_step;
-
-  /* Flags which will be synchronized to Integrator. */
-  bool have_motion;
-  bool have_curves;
-
-  /* ** Scheduling queue. ** */
-  Scene *scene;
-
-  /* First unused object index in the queue. */
-  int queue_start_object;
-};
-
-/* Object */
-
-NODE_DEFINE(Object)
-{
-  NodeType *type = NodeType::add("object", create);
-
-  SOCKET_NODE(geometry, "Geometry", Geometry::get_node_base_type());
-  SOCKET_TRANSFORM(tfm, "Transform", transform_identity());
-  SOCKET_UINT(visibility, "Visibility", ~0);
-  SOCKET_COLOR(color, "Color", zero_float3());
-  SOCKET_UINT(random_id, "Random ID", 0);
-  SOCKET_INT(pass_id, "Pass ID", 0);
-  SOCKET_BOOLEAN(use_holdout, "Use Holdout", false);
-  SOCKET_BOOLEAN(hide_on_missing_motion, "Hide on Missing Motion", false);
-  SOCKET_POINT(dupli_generated, "Dupli Generated", zero_float3());
-  SOCKET_POINT2(dupli_uv, "Dupli UV", zero_float2());
-  SOCKET_TRANSFORM_ARRAY(motion, "Motion", array<Transform>());
-  SOCKET_FLOAT(shadow_terminator_shading_offset, "Shadow Terminator Shading Offset", 0.0f);
-  SOCKET_FLOAT(shadow_terminator_geometry_offset, "Shadow Terminator Geometry Offset", 0.1f);
-  SOCKET_STRING(asset_name, "Asset Name", ustring());
-
-  SOCKET_BOOLEAN(is_shadow_catcher, "Shadow Catcher", false);
-
-  SOCKET_NODE(particle_system, "Particle System", ParticleSystem::get_node_type());
-  SOCKET_INT(particle_index, "Particle Index", 0);
-
-  SOCKET_FLOAT(ao_distance, "AO Distance", 0.0f);
-
-  return type;
-}
-
-Object::Object() : Node(get_node_type())
-{
-  particle_system = NULL;
-  particle_index = 0;
-  attr_map_offset = 0;
-  bounds = BoundBox::empty;
-  intersects_volume = false;
-}
-
-Object::~Object()
-{
-}
-
-void Object::update_motion()
-{
-  if (!use_motion()) {
-    return;
-  }
-
-  bool have_motion = false;
-
-  for (size_t i = 0; i < motion.size(); i++) {
-    if (motion[i] == transform_empty()) {
-      if (hide_on_missing_motion) {
-        /* Hide objects that have no valid previous or next
-         * transform, for example particle that stop existing. It
-         * would be better to handle this in the kernel and make
-         * objects invisible outside certain motion steps. */
-        tfm = transform_empty();
-        motion.clear();
-        return;
-      }
-      else {
-        /* Otherwise just copy center motion. */
-        motion[i] = tfm;
-      }
-    }
-
-    /* Test if any of the transforms are actually different. */
-    have_motion = have_motion || motion[i] != tfm;
-  }
-
-  /* Clear motion array if there is no actual motion. */
-  if (!have_motion) {
-    motion.clear();
-  }
-}
-
-void Object::compute_bounds(bool motion_blur)
-{
-  BoundBox mbounds = geometry->bounds;
-
-  if (motion_blur && use_motion()) {
-    array<DecomposedTransform> decomp(motion.size());
-    transform_motion_decompose(decomp.data(), motion.data(), motion.size());
-
-    bounds = BoundBox::empty;
-
-    /* TODO: this is really terrible. according to PBRT there is a better
-     * way to find this iteratively, but did not find implementation yet
-     * or try to implement myself */
-    for (float t = 0.0f; t < 1.0f; t += (1.0f / 128.0f)) {
-      Transform ttfm;
-
-      transform_motion_array_interpolate(&ttfm, decomp.data(), motion.size(), t);
-      bounds.grow(mbounds.transformed(&ttfm));
-    }
-  }
-  else {
-    /* No motion blur case. */
-    if (geometry->transform_applied) {
-      bounds = mbounds;
-    }
-    else {
-      bounds = mbounds.transformed(&tfm);
-    }
-  }
-}
-
-void Object::apply_transform(bool apply_to_motion)
-{
-  if (!geometry || tfm == transform_identity())
-    return;
-
-  geometry->apply_transform(tfm, apply_to_motion);
-
-  /* we keep normals pointing in same direction on negative scale, notify
-   * geometry about this in it (re)calculates normals */
-  if (transform_negative_scale(tfm))
-    geometry->transform_negative_scaled = true;
-
-  if (bounds.valid()) {
-    geometry->compute_bounds();
-    compute_bounds(false);
-  }
-
-  /* tfm is not reset to identity, all code that uses it needs to check the
-   * transform_applied boolean */
-}
-
-void Object::tag_update(Scene *scene)
-{
-  uint32_t flag = ObjectManager::UPDATE_NONE;
-
-  if (is_modified()) {
-    flag |= ObjectManager::OBJECT_MODIFIED;
-
-    if (use_holdout_is_modified()) {
-      flag |= ObjectManager::HOLDOUT_MODIFIED;
-    }
-
-    if (is_shadow_catcher_is_modified()) {
-      scene->tag_shadow_catcher_modified();
-    }
-  }
-
-  if (geometry) {
-    if (tfm_is_modified()) {
-      flag |= ObjectManager::TRANSFORM_MODIFIED;
-    }
-
-    if (visibility_is_modified()) {
-      flag |= ObjectManager::VISIBILITY_MODIFIED;
-    }
-
-    foreach (Node *node, geometry->get_used_shaders()) {
-      Shader *shader = static_cast<Shader *>(node);
-      if (shader->get_use_mis() && shader->has_surface_emission)
-        scene->light_manager->tag_update(scene, LightManager::EMISSIVE_MESH_MODIFIED);
-    }
-  }
-
-  scene->camera->need_flags_update = true;
-  scene->object_manager->tag_update(scene, flag);
-}
-
-bool Object::use_motion() const
-{
-  return (motion.size() > 1);
-}
-
-float Object::motion_time(int step) const
-{
-  return (use_motion()) ? 2.0f * step / (motion.size() - 1) - 1.0f : 0.0f;
-}
-
-int Object::motion_step(float time) const
-{
-  if (use_motion()) {
-    for (size_t step = 0; step < motion.size(); step++) {
-      if (time == motion_time(step)) {
-        return step;
-      }
-    }
-  }
-
-  return -1;
-}
-
-bool Object::is_traceable() const
-{
-  /* Mesh itself can be empty,can skip all such objects. */
-  if (!bounds.valid() || bounds.size() == zero_float3()) {
-    return false;
-  }
-  /* TODO(sergey): Check for mesh vertices/curves. visibility flags. */
-  return true;
-}
-
-uint Object::visibility_for_tracing() const
-{
-  return SHADOW_CATCHER_OBJECT_VISIBILITY(is_shadow_catcher, visibility & PATH_RAY_ALL_VISIBILITY);
-}
-
-float Object::compute_volume_step_size() const
-{
-  if (geometry->geometry_type != Geometry::MESH && geometry->geometry_type != Geometry::VOLUME) {
-    return FLT_MAX;
-  }
-
-  Mesh *mesh = static_cast<Mesh *>(geometry);
-
-  if (!mesh->has_volume) {
-    return FLT_MAX;
-  }
-
-  /* Compute step rate from shaders. */
-  float step_rate = FLT_MAX;
-
-  foreach (Node *node, mesh->get_used_shaders()) {
-    Shader *shader = static_cast<Shader *>(node);
-    if (shader->has_volume) {
-      if ((shader->get_heterogeneous_volume() && shader->has_volume_spatial_varying) ||
-          (shader->has_volume_attribute_dependency)) {
-        step_rate = fminf(shader->get_volume_step_rate(), step_rate);
-      }
-    }
-  }
-
-  if (step_rate == FLT_MAX) {
-    return FLT_MAX;
-  }
-
-  /* Compute step size from voxel grids. */
-  float step_size = FLT_MAX;
-
-  if (geometry->geometry_type == Geometry::VOLUME) {
-    Volume *volume = static_cast<Volume *>(geometry);
-
-    foreach (Attribute &attr, volume->attributes.attributes) {
-      if (attr.element == ATTR_ELEMENT_VOXEL) {
-        ImageHandle &handle = attr.data_voxel();
-        const ImageMetaData &metadata = handle.metadata();
-        if (metadata.width == 0 || metadata.height == 0 || metadata.depth == 0) {
-          continue;
-        }
-
-        /* User specified step size. */
-        float voxel_step_size = volume->get_step_size();
-
-        if (voxel_step_size == 0.0f) {
-          /* Auto detect step size. */
-          float3 size = one_float3();
-#ifdef WITH_NANOVDB
-          /* Dimensions were not applied to image transform with NanOVDB (see image_vdb.cpp) */
-          if (metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT &&
-              metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT3)
-#endif
-            size /= make_float3(metadata.width, metadata.height, metadata.depth);
-
-          /* Step size is transformed from voxel to world space. */
-          Transform voxel_tfm = tfm;
-          if (metadata.use_transform_3d) {
-            voxel_tfm = tfm * transform_inverse(metadata.transform_3d);
-          }
-          voxel_step_size = min3(fabs(transform_direction(&voxel_tfm, size)));
-        }
-        else if (volume->get_object_space()) {
-          /* User specified step size in object space. */
-          float3 size = make_float3(voxel_step_size, voxel_step_size, voxel_step_size);
-          voxel_step_size = min3(fabs(transform_direction(&tfm, size)));
-        }
-
-        if (voxel_step_size > 0.0f) {
-          step_size = fminf(voxel_step_size, step_size);
-        }
-      }
-    }
-  }
-
-  if (step_size == FLT_MAX) {
-    /* Fall back to 1/10th of bounds for procedural volumes. */
-    step_size = 0.1f * average(bounds.size());
-  }
-
-  step_size *= step_rate;
-
-  return step_size;
-}
-
-int Object::get_device_index() const
-{
-  return index;
-}
-
-/* Object Manager */
-
-ObjectManager::ObjectManager()
-{
-  update_flags = UPDATE_ALL;
-  need_flags_update = true;
-}
-
-ObjectManager::~ObjectManager()
-{
-}
-
-static float object_volume_density(const Transform &tfm, Geometry *geom)
-{
-  if (geom->geometry_type == Geometry::VOLUME) {
-    /* Volume density automatically adjust to object scale. */
-    if (static_cast<Volume *>(geom)->get_object_space()) {
-      const float3 unit = normalize(one_float3());
-      return 1.0f / len(transform_direction(&tfm, unit));
-    }
-  }
-
-  return 1.0f;
-}
-
-void ObjectManager::device_update_object_transform(UpdateObjectTransformState *state,
-                                                   Object *ob,
-                                                   bool update_all)
-{
-  KernelObject &kobject = state->objects[ob->index];
-  Transform *object_motion_pass = state->object_motion_pass;
-
-  Geometry *geom = ob->geometry;
-  uint flag = 0;
-
-  /* Compute transformations. */
-  Transform tfm = ob->tfm;
-  Transform itfm = transform_inverse(tfm);
-
-  float3 color = ob->color;
-  float pass_id = ob->pass_id;
-  float random_number = (float)ob->random_id * (1.0f / (float)0xFFFFFFFF);
-  int particle_index = (ob->particle_system) ?
-                           ob->particle_index + state->particle_offset[ob->particle_system] :
-                           0;
-
-  kobject.tfm = tfm;
-  kobject.itfm = itfm;
-  kobject.volume_density = object_volume_density(tfm, geom);
-  kobject.color[0] = color.x;
-  kobject.color[1] = color.y;
-  kobject.color[2] = color.z;
-  kobject.pass_id = pass_id;
-  kobject.random_number = random_number;
-  kobject.particle_index = particle_index;
-  kobject.motion_offset = 0;
-  kobject.ao_distance = ob->ao_distance;
-
-  if (geom->get_use_motion_blur()) {
-    state->have_motion = true;
-  }
-
-  if (geom->geometry_type == Geometry::MESH) {
-    /* TODO: why only mesh? */
-    Mesh *mesh = static_cast<Mesh *>(geom);
-    if (mesh->attributes.find(ATTR_STD_MOTION_VERTEX_POSITION)) {
-      flag |= SD_OBJECT_HAS_VERTEX_MOTION;
-    }
-  }
-
-  if (state->need_motion == Scene::MOTION_PASS) {
-    /* Clear motion array if there is no actual motion. */
-    ob->update_motion();
-
-    /* Compute motion transforms. */
-    Transform tfm_pre, tfm_post;
-    if (ob->use_motion()) {
-      tfm_pre = ob->motion[0];
-      tfm_post = ob->motion[ob->motion.size() - 1];
-    }
-    else {
-      tfm_pre = tfm;
-      tfm_post = tfm;
-    }
-
-    /* Motion transformations, is world/object space depending if mesh
-     * comes with deformed position in object space, or if we transform
-     * the shading point in world space. */
-    if (!(flag & SD_OBJECT_HAS_VERTEX_MOTION)) {
-      tfm_pre = tfm_pre * itfm;
-      tfm_post = tfm_post * itfm;
-    }
-
-    int motion_pass_offset = ob->index * OBJECT_MOTION_PASS_SIZE;
-    object_motion_pass[motion_pass_offset + 0] = tfm_pre;
-    object_motion_pass[motion_pass_offset + 1] = tfm_post;
-  }
-  else if (state->need_motion == Scene::MOTION_BLUR) {
-    if (ob->use_motion()) {
-      kobject.motion_offset = state->motion_offset[ob->index];
-
-      /* Decompose transforms for interpolation. */
-      if (ob->tfm_is_modified() || update_all) {
-        DecomposedTransform *decomp = state->object_motion + kobject.motion_offset;
-        transform_motion_decompose(decomp, ob->motion.data(), ob->motion.size());
-      }
-
-      flag |= SD_OBJECT_MOTION;
-      state->have_motion = true;
-    }
-  }
-
-  /* Dupli object coords and motion info. */
-  kobject.dupli_generated[0] = ob->dupli_generated[0];
-  kobject.dupli_generated[1] = ob->dupli_generated[1];
-  kobject.dupli_generated[2] = ob->dupli_generated[2];
-  kobject.numkeys = (geom->geometry_type == Geometry::HAIR) ?
-                        static_cast<Hair *>(geom)->get_curve_keys().size() :
-                        0;
-  kobject.dupli_uv[0] = ob->dupli_uv[0];
-  kobject.dupli_uv[1] = ob->dupli_uv[1];
-  int totalsteps = geom->get_motion_steps();
-  kobject.numsteps = (totalsteps - 1) / 2;
-  kobject.numverts = (geom->geometry_type == Geometry::MESH ||
-                      geom->geometry_type == Geometry::VOLUME) ?
-                         static_cast<Mesh *>(geom)->get_verts().size() :
-                         0;
-  kobject.patch_map_offset = 0;
-  kobject.attribute_map_offset = 0;
-
-  if (ob->asset_name_is_modified() || update_all) {
-    uint32_t hash_name = util_murmur_hash3(ob->name.c_str(), ob->name.length(), 0);
-    uint32_t hash_asset = util_murmur_hash3(ob->asset_name.c_str(), ob->asset_name.length(), 0);
-    kobject.cryptomatte_object = util_hash_to_float(hash_name);
-    kobject.cryptomatte_asset = util_hash_to_float(hash_asset);
-  }
-
-  kobject.shadow_terminator_shading_offset = 1.0f /
-                                             (1.0f - 0.5f * ob->shadow_terminator_shading_offset);
-  kobject.shadow_terminator_geometry_offset = ob->shadow_terminator_geometry_offset;
-
-  kobject.visibility = ob->visibility_for_tracing();
-  kobject.primitive_type = geom->primitive_type();
-
-  /* Object flag. */
-  if (ob->use_holdout) {
-    flag |= SD_OBJECT_HOLDOUT_MASK;
-  }
-  state->object_flag[ob->index] = flag;
-  state->object_volume_step[ob->index] = FLT_MAX;
-
-  /* Have curves. */
-  if (geom->geometry_type == Geometry::HAIR) {
-    state->have_curves = true;
-  }
-}
-
-void ObjectManager::device_update_transforms(DeviceScene *dscene, Scene *scene, Progress &progress)
-{
-  UpdateObjectTransformState state;
-  state.need_motion = scene->need_motion();
-  state.have_motion = false;
-  state.have_curves = false;
-  state.scene = scene;
-  state.queue_start_object = 0;
-
-  state.objects = dscene->objects.alloc(scene->objects.size());
-  state.object_flag = dscene->object_flag.alloc(scene->objects.size());
-  state.object_volume_step = dscene->object_volume_step.alloc(scene->objects.size());
-  state.object_motion = NULL;
-  state.object_motion_pass = NULL;
-
-  if (state.need_motion == Scene::MOTION_PASS) {
-    state.object_motion_pass = dscene->object_motion_pass.alloc(OBJECT_MOTION_PASS_SIZE *
-                                                                scene->objects.size());
-  }
-  else if (state.need_motion == Scene::MOTION_BLUR) {
-    /* Set object offsets into global object motion array. */
-    uint *motion_offsets = state.motion_offset.resize(scene->objects.size());
-    uint motion_offset = 0;
-
-    foreach (Object *ob, scene->objects) {
-      *motion_offsets = motion_offset;
-      motion_offsets++;
-
-      /* Clear motion array if there is no actual motion. */
-      ob->update_motion();
-      motion_offset += ob->motion.size();
-    }
-
-    state.object_motion = dscene->object_motion.alloc(motion_offset);
-  }
-
-  /* Particle system device offsets
-   * 0 is dummy particle, index starts at 1.
-   */
-  int numparticles = 1;
-  foreach (ParticleSystem *psys, scene->particle_systems) {
-    state.particle_offset[psys] = numparticles;
-    numparticles += psys->particles.size();
-  }
-
-  /* as all the arrays are the same size, checking only dscene.objects is sufficient */
-  const bool update_all = dscene->objects.need_realloc();
-
-  /* Parallel object update, with grain size to avoid too much threading overhead
-   * for individual objects. */
-  static const int OBJECTS_PER_TASK = 32;
-  parallel_for(blocked_range<size_t>(0, scene->objects.size(), OBJECTS_PER_TASK),
-               [&](const blocked_range<size_t> &r) {
-                 for (size_t i = r.begin(); i != r.end(); i++) {
-                   Object *ob = state.scene->objects[i];
-                   device_update_object_transform(&state, ob, update_all);
-                 }
-               });
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  dscene->objects.copy_to_device_if_modified();
-  if (state.need_motion == Scene::MOTION_PASS) {
-    dscene->object_motion_pass.copy_to_device();
-  }
-  else if (state.need_motion == Scene::MOTION_BLUR) {
-    dscene->object_motion.copy_to_device();
-  }
-
-  dscene->data.bvh.have_motion = state.have_motion;
-  dscene->data.bvh.have_curves = state.have_curves;
-
-  dscene->objects.clear_modified();
-  dscene->object_motion_pass.clear_modified();
-  dscene->object_motion.clear_modified();
-}
-
-void ObjectManager::device_update(Device *device,
-                                  DeviceScene *dscene,
-                                  Scene *scene,
-                                  Progress &progress)
-{
-  if (!need_update())
-    return;
-
-  if (update_flags & (OBJECT_ADDED | OBJECT_REMOVED)) {
-    dscene->objects.tag_realloc();
-    dscene->object_motion_pass.tag_realloc();
-    dscene->object_motion.tag_realloc();
-    dscene->object_flag.tag_realloc();
-    dscene->object_volume_step.tag_realloc();
-  }
-
-  if (update_flags & HOLDOUT_MODIFIED) {
-    dscene->object_flag.tag_modified();
-  }
-
-  if (update_flags & PARTICLE_MODIFIED) {
-    dscene->objects.tag_modified();
-  }
-
-  VLOG(1) << "Total " << scene->objects.size() << " objects.";
-
-  device_free(device, dscene, false);
-
-  if (scene->objects.size() == 0)
-    return;
-
-  {
-    /* Assign object IDs. */
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->object.times.add_entry({"device_update (assign index)", time});
-      }
-    });
-
-    int index = 0;
-    foreach (Object *object, scene->objects) {
-      object->index = index++;
-
-      /* this is a bit too broad, however a bigger refactor might be needed to properly separate
-       * update each type of data (transform, flags, etc.) */
-      if (object->is_modified()) {
-        dscene->objects.tag_modified();
-        dscene->object_motion_pass.tag_modified();
-        dscene->object_motion.tag_modified();
-        dscene->object_flag.tag_modified();
-        dscene->object_volume_step.tag_modified();
-      }
-    }
-  }
-
-  {
-    /* set object transform matrices, before applying static transforms */
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->object.times.add_entry(
-            {"device_update (copy objects to device)", time});
-      }
-    });
-
-    progress.set_status("Updating Objects", "Copying Transformations to device");
-    device_update_transforms(dscene, scene, progress);
-  }
-
-  if (progress.get_cancel())
-    return;
-
-  /* prepare for static BVH building */
-  /* todo: do before to support getting object level coords? */
-  if (scene->params.bvh_type == BVH_TYPE_STATIC) {
-    scoped_callback_timer timer([scene](double time) {
-      if (scene->update_stats) {
-        scene->update_stats->object.times.add_entry(
-            {"device_update (apply static transforms)", time});
-      }
-    });
-
-    progress.set_status("Updating Objects", "Applying Static Transformations");
-    apply_static_transforms(dscene, scene, progress);
-  }
-
-  foreach (Object *object, scene->objects) {
-    object->clear_modified();
-  }
-}
-
-void ObjectManager::device_update_flags(
-    Device *, DeviceScene *dscene, Scene *scene, Progress & /*progress*/, bool bounds_valid)
-{
-  if (!need_update() && !need_flags_update)
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->object.times.add_entry({"device_update_flags", time});
-    }
-  });
-
-  update_flags = UPDATE_NONE;
-  need_flags_update = false;
-
-  if (scene->objects.size() == 0)
-    return;
-
-  /* Object info flag. */
-  uint *object_flag = dscene->object_flag.data();
-  float *object_volume_step = dscene->object_volume_step.data();
-
-  /* Object volume intersection. */
-  vector<Object *> volume_objects;
-  bool has_volume_objects = false;
-  foreach (Object *object, scene->objects) {
-    if (object->geometry->has_volume) {
-      if (bounds_valid) {
-        volume_objects.push_back(object);
-      }
-      has_volume_objects = true;
-      object_volume_step[object->index] = object->compute_volume_step_size();
-    }
-    else {
-      object_volume_step[object->index] = FLT_MAX;
-    }
-  }
-
-  foreach (Object *object, scene->objects) {
-    if (object->geometry->has_volume) {
-      object_flag[object->index] |= SD_OBJECT_HAS_VOLUME;
-      object_flag[object->index] &= ~SD_OBJECT_HAS_VOLUME_ATTRIBUTES;
-
-      foreach (Attribute &attr, object->geometry->attributes.attributes) {
-        if (attr.element == ATTR_ELEMENT_VOXEL) {
-          object_flag[object->index] |= SD_OBJECT_HAS_VOLUME_ATTRIBUTES;
-        }
-      }
-    }
-    else {
-      object_flag[object->index] &= ~(SD_OBJECT_HAS_VOLUME | SD_OBJECT_HAS_VOLUME_ATTRIBUTES);
-    }
-
-    if (object->is_shadow_catcher) {
-      object_flag[object->index] |= SD_OBJECT_SHADOW_CATCHER;
-    }
-    else {
-      object_flag[object->index] &= ~SD_OBJECT_SHADOW_CATCHER;
-    }
-
-    if (bounds_valid) {
-      object->intersects_volume = false;
-      foreach (Object *volume_object, volume_objects) {
-        if (object == volume_object) {
-          continue;
-        }
-        if (object->bounds.intersects(volume_object->bounds)) {
-          object_flag[object->index] |= SD_OBJECT_INTERSECTS_VOLUME;
-          object->intersects_volume = true;
-          break;
-        }
-      }
-    }
-    else if (has_volume_objects) {
-      /* Not really valid, but can't make more reliable in the case
-       * of bounds not being up to date.
-       */
-      object_flag[object->index] |= SD_OBJECT_INTERSECTS_VOLUME;
-    }
-  }
-
-  /* Copy object flag. */
-  dscene->object_flag.copy_to_device();
-  dscene->object_volume_step.copy_to_device();
-
-  dscene->object_flag.clear_modified();
-  dscene->object_volume_step.clear_modified();
-}
-
-void ObjectManager::device_update_mesh_offsets(Device *, DeviceScene *dscene, Scene *scene)
-{
-  if (dscene->objects.size() == 0) {
-    return;
-  }
-
-  KernelObject *kobjects = dscene->objects.data();
-
-  bool update = false;
-
-  foreach (Object *object, scene->objects) {
-    Geometry *geom = object->geometry;
-
-    if (geom->geometry_type == Geometry::MESH) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-      if (mesh->patch_table) {
-        uint patch_map_offset = 2 * (mesh->patch_table_offset + mesh->patch_table->total_size() -
-                                     mesh->patch_table->num_nodes * PATCH_NODE_SIZE) -
-                                mesh->patch_offset;
-
-        if (kobjects[object->index].patch_map_offset != patch_map_offset) {
-          kobjects[object->index].patch_map_offset = patch_map_offset;
-          update = true;
-        }
-      }
-    }
-
-    size_t attr_map_offset = object->attr_map_offset;
-
-    /* An object attribute map cannot have a zero offset because mesh maps come first. */
-    if (attr_map_offset == 0) {
-      attr_map_offset = geom->attr_map_offset;
-    }
-
-    if (kobjects[object->index].attribute_map_offset != attr_map_offset) {
-      kobjects[object->index].attribute_map_offset = attr_map_offset;
-      update = true;
-    }
-  }
-
-  if (update) {
-    dscene->objects.copy_to_device();
-  }
-}
-
-void ObjectManager::device_free(Device *, DeviceScene *dscene, bool force_free)
-{
-  dscene->objects.free_if_need_realloc(force_free);
-  dscene->object_motion_pass.free_if_need_realloc(force_free);
-  dscene->object_motion.free_if_need_realloc(force_free);
-  dscene->object_flag.free_if_need_realloc(force_free);
-  dscene->object_volume_step.free_if_need_realloc(force_free);
-}
-
-void ObjectManager::apply_static_transforms(DeviceScene *dscene, Scene *scene, Progress &progress)
-{
-  /* todo: normals and displacement should be done before applying transform! */
-  /* todo: create objects/geometry in right order! */
-
-  /* counter geometry users */
-  map<Geometry *, int> geometry_users;
-  Scene::MotionType need_motion = scene->need_motion();
-  bool motion_blur = need_motion == Scene::MOTION_BLUR;
-  bool apply_to_motion = need_motion != Scene::MOTION_PASS;
-  int i = 0;
-
-  foreach (Object *object, scene->objects) {
-    map<Geometry *, int>::iterator it = geometry_users.find(object->geometry);
-
-    if (it == geometry_users.end())
-      geometry_users[object->geometry] = 1;
-    else
-      it->second++;
-  }
-
-  if (progress.get_cancel())
-    return;
-
-  uint *object_flag = dscene->object_flag.data();
-
-  /* apply transforms for objects with single user geometry */
-  foreach (Object *object, scene->objects) {
-    /* Annoying feedback loop here: we can't use is_instanced() because
-     * it'll use uninitialized transform_applied flag.
-     *
-     * Could be solved by moving reference counter to Geometry.
-     */
-    Geometry *geom = object->geometry;
-    bool apply = (geometry_users[geom] == 1) && !geom->has_surface_bssrdf &&
-                 !geom->has_true_displacement();
-
-    if (geom->geometry_type == Geometry::MESH) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-      apply = apply && mesh->get_subdivision_type() == Mesh::SUBDIVISION_NONE;
-    }
-    else if (geom->geometry_type == Geometry::HAIR) {
-      /* Can't apply non-uniform scale to curves, this can't be represented by
-       * control points and radius alone. */
-      float scale;
-      apply = apply && transform_uniform_scale(object->tfm, scale);
-    }
-
-    if (apply) {
-      if (!(motion_blur && object->use_motion())) {
-        if (!geom->transform_applied) {
-          object->apply_transform(apply_to_motion);
-          geom->transform_applied = true;
-
-          if (progress.get_cancel())
-            return;
-        }
-
-        object_flag[i] |= SD_OBJECT_TRANSFORM_APPLIED;
-        if (geom->transform_negative_scaled)
-          object_flag[i] |= SD_OBJECT_NEGATIVE_SCALE_APPLIED;
-      }
-    }
-
-    i++;
-  }
-}
-
-void ObjectManager::tag_update(Scene *scene, uint32_t flag)
-{
-  update_flags |= flag;
-
-  /* avoid infinite loops if the geometry manager tagged us for an update */
-  if ((flag & GEOMETRY_MANAGER) == 0) {
-    uint32_t geometry_flag = GeometryManager::OBJECT_MANAGER;
-
-    /* Also notify in case added or removed objects were instances, as no Geometry might have been
-     * added or removed, but the BVH still needs to updated. */
-    if ((flag & (OBJECT_ADDED | OBJECT_REMOVED)) != 0) {
-      geometry_flag |= (GeometryManager::GEOMETRY_ADDED | GeometryManager::GEOMETRY_REMOVED);
-    }
-
-    if ((flag & TRANSFORM_MODIFIED) != 0) {
-      geometry_flag |= GeometryManager::TRANSFORM_MODIFIED;
-    }
-
-    if ((flag & VISIBILITY_MODIFIED) != 0) {
-      geometry_flag |= GeometryManager::VISIBILITY_MODIFIED;
-    }
-
-    scene->geometry_manager->tag_update(scene, geometry_flag);
-  }
-
-  scene->light_manager->tag_update(scene, LightManager::OBJECT_MANAGER);
-
-  /* Integrator's shadow catcher settings depends on object visibility settings. */
-  if (flag & (OBJECT_ADDED | OBJECT_REMOVED | OBJECT_MODIFIED)) {
-    scene->integrator->tag_update(scene, Integrator::OBJECT_MANAGER);
-  }
-}
-
-bool ObjectManager::need_update() const
-{
-  return update_flags != UPDATE_NONE;
-}
-
-string ObjectManager::get_cryptomatte_objects(Scene *scene)
-{
-  string manifest = "{";
-
-  unordered_set<ustring, ustringHash> objects;
-  foreach (Object *object, scene->objects) {
-    if (objects.count(object->name)) {
-      continue;
-    }
-    objects.insert(object->name);
-    uint32_t hash_name = util_murmur_hash3(object->name.c_str(), object->name.length(), 0);
-    manifest += string_printf("\"%s\":\"%08x\",", object->name.c_str(), hash_name);
-  }
-  manifest[manifest.size() - 1] = '}';
-  return manifest;
-}
-
-string ObjectManager::get_cryptomatte_assets(Scene *scene)
-{
-  string manifest = "{";
-  unordered_set<ustring, ustringHash> assets;
-  foreach (Object *ob, scene->objects) {
-    if (assets.count(ob->asset_name)) {
-      continue;
-    }
-    assets.insert(ob->asset_name);
-    uint32_t hash_asset = util_murmur_hash3(ob->asset_name.c_str(), ob->asset_name.length(), 0);
-    manifest += string_printf("\"%s\":\"%08x\",", ob->asset_name.c_str(), hash_asset);
-  }
-  manifest[manifest.size() - 1] = '}';
-  return manifest;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/object.h b/intern/cycles/render/object.h
deleted file mode 100644
index ad312835789..00000000000
--- a/intern/cycles/render/object.h
+++ /dev/null
@@ -1,189 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __OBJECT_H__
-#define __OBJECT_H__
-
-#include "graph/node.h"
-
-/* included as Object::set_particle_system defined through NODE_SOCKET_API does
- * not select the right Node::set overload as it does not know that ParticleSystem
- * is a Node */
-#include "render/particles.h"
-#include "render/scene.h"
-
-#include "util/util_array.h"
-#include "util/util_boundbox.h"
-#include "util/util_param.h"
-#include "util/util_thread.h"
-#include "util/util_transform.h"
-#include "util/util_types.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Geometry;
-class ParticleSystem;
-class Progress;
-class Scene;
-struct Transform;
-struct UpdateObjectTransformState;
-class ObjectManager;
-
-/* Object */
-
-class Object : public Node {
- public:
-  NODE_DECLARE
-
-  NODE_SOCKET_API(Geometry *, geometry)
-  NODE_SOCKET_API(Transform, tfm)
-  BoundBox bounds;
-  NODE_SOCKET_API(uint, random_id)
-  NODE_SOCKET_API(int, pass_id)
-  NODE_SOCKET_API(float3, color)
-  NODE_SOCKET_API(ustring, asset_name)
-  vector<ParamValue> attributes;
-  NODE_SOCKET_API(uint, visibility)
-  NODE_SOCKET_API_ARRAY(array<Transform>, motion)
-  NODE_SOCKET_API(bool, hide_on_missing_motion)
-  NODE_SOCKET_API(bool, use_holdout)
-  NODE_SOCKET_API(bool, is_shadow_catcher)
-  NODE_SOCKET_API(float, shadow_terminator_shading_offset)
-  NODE_SOCKET_API(float, shadow_terminator_geometry_offset)
-
-  NODE_SOCKET_API(float3, dupli_generated)
-  NODE_SOCKET_API(float2, dupli_uv)
-
-  NODE_SOCKET_API(ParticleSystem *, particle_system);
-  NODE_SOCKET_API(int, particle_index);
-
-  NODE_SOCKET_API(float, ao_distance)
-
-  /* Set during device update. */
-  bool intersects_volume;
-
-  Object();
-  ~Object();
-
-  void tag_update(Scene *scene);
-
-  void compute_bounds(bool motion_blur);
-  void apply_transform(bool apply_to_motion);
-
-  /* Convert between normalized -1..1 motion time and index
-   * in the motion array. */
-  bool use_motion() const;
-  float motion_time(int step) const;
-  int motion_step(float time) const;
-  void update_motion();
-
-  /* Maximum number of motion steps supported (due to Embree). */
-  static const uint MAX_MOTION_STEPS = 129;
-
-  /* Check whether object is traceable and it worth adding it to
-   * kernel scene.
-   */
-  bool is_traceable() const;
-
-  /* Combine object's visibility with all possible internal run-time
-   * determined flags which denotes trace-time visibility.
-   */
-  uint visibility_for_tracing() const;
-
-  /* Returns the index that is used in the kernel for this object. */
-  int get_device_index() const;
-
-  /* Compute step size from attributes, shaders, transforms. */
-  float compute_volume_step_size() const;
-
- protected:
-  /* Specifies the position of the object in scene->objects and
-   * in the device vectors. Gets set in device_update. */
-  int index;
-
-  /* Reference to the attribute map with object attributes,
-   * or 0 if none. Set in update_svm_attributes. */
-  size_t attr_map_offset;
-
-  friend class ObjectManager;
-  friend class GeometryManager;
-};
-
-/* Object Manager */
-
-class ObjectManager {
-  uint32_t update_flags;
-
- public:
-  enum : uint32_t {
-    PARTICLE_MODIFIED = (1 << 0),
-    GEOMETRY_MANAGER = (1 << 1),
-    MOTION_BLUR_MODIFIED = (1 << 2),
-    OBJECT_ADDED = (1 << 3),
-    OBJECT_REMOVED = (1 << 4),
-    OBJECT_MODIFIED = (1 << 5),
-    HOLDOUT_MODIFIED = (1 << 6),
-    TRANSFORM_MODIFIED = (1 << 7),
-    VISIBILITY_MODIFIED = (1 << 8),
-
-    /* tag everything in the manager for an update */
-    UPDATE_ALL = ~0u,
-
-    UPDATE_NONE = 0u,
-  };
-
-  bool need_flags_update;
-
-  ObjectManager();
-  ~ObjectManager();
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-  void device_update_transforms(DeviceScene *dscene, Scene *scene, Progress &progress);
-
-  void device_update_flags(Device *device,
-                           DeviceScene *dscene,
-                           Scene *scene,
-                           Progress &progress,
-                           bool bounds_valid = true);
-  void device_update_mesh_offsets(Device *device, DeviceScene *dscene, Scene *scene);
-
-  void device_free(Device *device, DeviceScene *dscene, bool force_free);
-
-  void tag_update(Scene *scene, uint32_t flag);
-
-  bool need_update() const;
-
-  void apply_static_transforms(DeviceScene *dscene, Scene *scene, Progress &progress);
-
-  string get_cryptomatte_objects(Scene *scene);
-  string get_cryptomatte_assets(Scene *scene);
-
- protected:
-  void device_update_object_transform(UpdateObjectTransformState *state,
-                                      Object *ob,
-                                      bool update_all);
-  void device_update_object_transform_task(UpdateObjectTransformState *state);
-  bool device_update_object_transform_pop_work(UpdateObjectTransformState *state,
-                                               int *start_index,
-                                               int *num_objects);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __OBJECT_H__ */
diff --git a/intern/cycles/render/osl.cpp b/intern/cycles/render/osl.cpp
deleted file mode 100644
index 1037ebcae7e..00000000000
--- a/intern/cycles/render/osl.cpp
+++ /dev/null
@@ -1,1304 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "device/device.h"
-
-#include "render/background.h"
-#include "render/colorspace.h"
-#include "render/graph.h"
-#include "render/light.h"
-#include "render/nodes.h"
-#include "render/osl.h"
-#include "render/scene.h"
-#include "render/shader.h"
-#include "render/stats.h"
-
-#ifdef WITH_OSL
-
-#  include "kernel/osl/osl_globals.h"
-#  include "kernel/osl/osl_services.h"
-#  include "kernel/osl/osl_shader.h"
-
-#  include "util/util_aligned_malloc.h"
-#  include "util/util_foreach.h"
-#  include "util/util_logging.h"
-#  include "util/util_md5.h"
-#  include "util/util_path.h"
-#  include "util/util_progress.h"
-#  include "util/util_projection.h"
-
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-#ifdef WITH_OSL
-
-/* Shared Texture and Shading System */
-
-OSL::TextureSystem *OSLShaderManager::ts_shared = NULL;
-int OSLShaderManager::ts_shared_users = 0;
-thread_mutex OSLShaderManager::ts_shared_mutex;
-
-OSL::ShadingSystem *OSLShaderManager::ss_shared = NULL;
-OSLRenderServices *OSLShaderManager::services_shared = NULL;
-int OSLShaderManager::ss_shared_users = 0;
-thread_mutex OSLShaderManager::ss_shared_mutex;
-thread_mutex OSLShaderManager::ss_mutex;
-int OSLCompiler::texture_shared_unique_id = 0;
-
-/* Shader Manager */
-
-OSLShaderManager::OSLShaderManager()
-{
-  texture_system_init();
-  shading_system_init();
-}
-
-OSLShaderManager::~OSLShaderManager()
-{
-  shading_system_free();
-  texture_system_free();
-}
-
-void OSLShaderManager::free_memory()
-{
-#  ifdef OSL_HAS_BLENDER_CLEANUP_FIX
-  /* There is a problem with LLVM+OSL: The order global destructors across
-   * different compilation units run cannot be guaranteed, on windows this means
-   * that the LLVM destructors run before the osl destructors, causing a crash
-   * when the process exits. the OSL in svn has a special cleanup hack to
-   * sidestep this behavior */
-  OSL::pvt::LLVM_Util::Cleanup();
-#  endif
-}
-
-void OSLShaderManager::reset(Scene * /*scene*/)
-{
-  shading_system_free();
-  shading_system_init();
-}
-
-void OSLShaderManager::device_update_specific(Device *device,
-                                              DeviceScene *dscene,
-                                              Scene *scene,
-                                              Progress &progress)
-{
-  if (!need_update())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->osl.times.add_entry({"device_update", time});
-    }
-  });
-
-  VLOG(1) << "Total " << scene->shaders.size() << " shaders.";
-
-  device_free(device, dscene, scene);
-
-  /* set texture system */
-  scene->image_manager->set_osl_texture_system((void *)ts);
-
-  /* create shaders */
-  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
-  Shader *background_shader = scene->background->get_shader(scene);
-
-  foreach (Shader *shader, scene->shaders) {
-    assert(shader->graph);
-
-    if (progress.get_cancel())
-      return;
-
-    /* we can only compile one shader at the time as the OSL ShadingSytem
-     * has a single state, but we put the lock here so different renders can
-     * compile shaders alternating */
-    thread_scoped_lock lock(ss_mutex);
-
-    OSLCompiler compiler(this, services, ss, scene);
-    compiler.background = (shader == background_shader);
-    compiler.compile(og, shader);
-
-    if (shader->get_use_mis() && shader->has_surface_emission)
-      scene->light_manager->tag_update(scene, LightManager::SHADER_COMPILED);
-  }
-
-  /* setup shader engine */
-  og->ss = ss;
-  og->ts = ts;
-  og->services = services;
-
-  int background_id = scene->shader_manager->get_shader_id(background_shader);
-  og->background_state = og->surface_state[background_id & SHADER_MASK];
-  og->use = true;
-
-  foreach (Shader *shader, scene->shaders)
-    shader->clear_modified();
-
-  update_flags = UPDATE_NONE;
-
-  /* add special builtin texture types */
-  services->textures.insert(ustring("@ao"), new OSLTextureHandle(OSLTextureHandle::AO));
-  services->textures.insert(ustring("@bevel"), new OSLTextureHandle(OSLTextureHandle::BEVEL));
-
-  device_update_common(device, dscene, scene, progress);
-
-  {
-    /* Perform greedyjit optimization.
-     *
-     * This might waste time on optimizing groups which are never actually
-     * used, but this prevents OSL from allocating data on TLS at render
-     * time.
-     *
-     * This is much better for us because this way we aren't required to
-     * stop task scheduler threads to make sure all TLS is clean and don't
-     * have issues with TLS data free accessing freed memory if task scheduler
-     * is being freed after the Session is freed.
-     */
-    thread_scoped_lock lock(ss_shared_mutex);
-    ss->optimize_all_groups();
-  }
-}
-
-void OSLShaderManager::device_free(Device *device, DeviceScene *dscene, Scene *scene)
-{
-  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
-
-  device_free_common(device, dscene, scene);
-
-  /* clear shader engine */
-  og->use = false;
-  og->ss = NULL;
-  og->ts = NULL;
-
-  og->surface_state.clear();
-  og->volume_state.clear();
-  og->displacement_state.clear();
-  og->bump_state.clear();
-  og->background_state.reset();
-}
-
-void OSLShaderManager::texture_system_init()
-{
-  /* create texture system, shared between different renders to reduce memory usage */
-  thread_scoped_lock lock(ts_shared_mutex);
-
-  if (ts_shared_users == 0) {
-    ts_shared = TextureSystem::create(true);
-
-    ts_shared->attribute("automip", 1);
-    ts_shared->attribute("autotile", 64);
-    ts_shared->attribute("gray_to_rgb", 1);
-
-    /* effectively unlimited for now, until we support proper mipmap lookups */
-    ts_shared->attribute("max_memory_MB", 16384);
-  }
-
-  ts = ts_shared;
-  ts_shared_users++;
-}
-
-void OSLShaderManager::texture_system_free()
-{
-  /* shared texture system decrease users and destroy if no longer used */
-  thread_scoped_lock lock(ts_shared_mutex);
-  ts_shared_users--;
-
-  if (ts_shared_users == 0) {
-    ts_shared->invalidate_all(true);
-    OSL::TextureSystem::destroy(ts_shared);
-    ts_shared = NULL;
-  }
-
-  ts = NULL;
-}
-
-void OSLShaderManager::shading_system_init()
-{
-  /* create shading system, shared between different renders to reduce memory usage */
-  thread_scoped_lock lock(ss_shared_mutex);
-
-  if (ss_shared_users == 0) {
-    /* Must use aligned new due to concurrent hash map. */
-    services_shared = util_aligned_new<OSLRenderServices>(ts_shared);
-
-    string shader_path = path_get("shader");
-#  ifdef _WIN32
-    /* Annoying thing, Cycles stores paths in UTF-8 codepage, so it can
-     * operate with file paths with any character. This requires to use wide
-     * char functions, but OSL uses old fashioned ANSI functions which means:
-     *
-     * - We have to convert our paths to ANSI before passing to OSL
-     * - OSL can't be used when there's a multi-byte character in the path
-     *   to the shaders folder.
-     */
-    shader_path = string_to_ansi(shader_path);
-#  endif
-
-    ss_shared = new OSL::ShadingSystem(services_shared, ts_shared, &errhandler);
-    ss_shared->attribute("lockgeom", 1);
-    ss_shared->attribute("commonspace", "world");
-    ss_shared->attribute("searchpath:shader", shader_path);
-    ss_shared->attribute("greedyjit", 1);
-
-    VLOG(1) << "Using shader search path: " << shader_path;
-
-    /* our own ray types */
-    static const char *raytypes[] = {
-        "camera",         /* PATH_RAY_CAMERA */
-        "reflection",     /* PATH_RAY_REFLECT */
-        "refraction",     /* PATH_RAY_TRANSMIT */
-        "diffuse",        /* PATH_RAY_DIFFUSE */
-        "glossy",         /* PATH_RAY_GLOSSY */
-        "singular",       /* PATH_RAY_SINGULAR */
-        "transparent",    /* PATH_RAY_TRANSPARENT */
-        "volume_scatter", /* PATH_RAY_VOLUME_SCATTER */
-
-        "shadow", /* PATH_RAY_SHADOW_OPAQUE */
-        "shadow", /* PATH_RAY_SHADOW_TRANSPARENT */
-
-        "__unused__", /* PATH_RAY_NODE_UNALIGNED */
-        "__unused__", /* PATH_RAY_MIS_SKIP */
-
-        "diffuse_ancestor", /* PATH_RAY_DIFFUSE_ANCESTOR */
-
-        "__unused__", /* PATH_RAY_SINGLE_PASS_DONE */
-        "__unused__", /* PATH_RAY_TRANSPARENT_BACKGROUND */
-        "__unused__", /* PATH_RAY_TERMINATE_IMMEDIATE */
-        "__unused__", /* PATH_RAY_TERMINATE_AFTER_TRANSPARENT */
-        "__unused__", /* PATH_RAY_EMISSION */
-        "__unused__", /* PATH_RAY_SUBSURFACE */
-        "__unused__", /* PATH_RAY_DENOISING_FEATURES */
-        "__unused__", /* PATH_RAY_REFLECT_PASS */
-        "__unused__", /* PATH_RAY_TRANSMISSION_PASS */
-        "__unused__", /* PATH_RAY_VOLUME_PASS */
-        "__unused__", /* PATH_RAY_SHADOW_FOR_LIGHT */
-        "__unused__", /* PATH_RAY_SHADOW_CATCHER_HIT */
-        "__unused__", /* PATH_RAY_SHADOW_CATCHER_PASS */
-    };
-
-    const int nraytypes = sizeof(raytypes) / sizeof(raytypes[0]);
-    ss_shared->attribute("raytypes", TypeDesc(TypeDesc::STRING, nraytypes), raytypes);
-
-    OSLShader::register_closures((OSLShadingSystem *)ss_shared);
-
-    loaded_shaders.clear();
-  }
-
-  ss = ss_shared;
-  services = services_shared;
-  ss_shared_users++;
-}
-
-void OSLShaderManager::shading_system_free()
-{
-  /* shared shading system decrease users and destroy if no longer used */
-  thread_scoped_lock lock(ss_shared_mutex);
-  ss_shared_users--;
-
-  if (ss_shared_users == 0) {
-    delete ss_shared;
-    ss_shared = NULL;
-
-    util_aligned_delete(services_shared);
-    services_shared = NULL;
-  }
-
-  ss = NULL;
-  services = NULL;
-}
-
-bool OSLShaderManager::osl_compile(const string &inputfile, const string &outputfile)
-{
-  vector<string> options;
-  string stdosl_path;
-  string shader_path = path_get("shader");
-
-  /* specify output file name */
-  options.push_back("-o");
-  options.push_back(outputfile);
-
-  /* specify standard include path */
-  string include_path_arg = string("-I") + shader_path;
-  options.push_back(include_path_arg);
-
-  stdosl_path = path_join(shader_path, "stdcycles.h");
-
-  /* compile */
-  OSL::OSLCompiler *compiler = new OSL::OSLCompiler(&OSL::ErrorHandler::default_handler());
-  bool ok = compiler->compile(string_view(inputfile), options, string_view(stdosl_path));
-  delete compiler;
-
-  return ok;
-}
-
-bool OSLShaderManager::osl_query(OSL::OSLQuery &query, const string &filepath)
-{
-  string searchpath = path_user_get("shaders");
-  return query.open(filepath, searchpath);
-}
-
-static string shader_filepath_hash(const string &filepath, uint64_t modified_time)
-{
-  /* compute a hash from filepath and modified time to detect changes */
-  MD5Hash md5;
-  md5.append((const uint8_t *)filepath.c_str(), filepath.size());
-  md5.append((const uint8_t *)&modified_time, sizeof(modified_time));
-
-  return md5.get_hex();
-}
-
-const char *OSLShaderManager::shader_test_loaded(const string &hash)
-{
-  map<string, OSLShaderInfo>::iterator it = loaded_shaders.find(hash);
-  return (it == loaded_shaders.end()) ? NULL : it->first.c_str();
-}
-
-OSLShaderInfo *OSLShaderManager::shader_loaded_info(const string &hash)
-{
-  map<string, OSLShaderInfo>::iterator it = loaded_shaders.find(hash);
-  return (it == loaded_shaders.end()) ? NULL : &it->second;
-}
-
-const char *OSLShaderManager::shader_load_filepath(string filepath)
-{
-  size_t len = filepath.size();
-  string extension = filepath.substr(len - 4);
-  uint64_t modified_time = path_modified_time(filepath);
-
-  if (extension == ".osl") {
-    /* .OSL File */
-    string osopath = filepath.substr(0, len - 4) + ".oso";
-    uint64_t oso_modified_time = path_modified_time(osopath);
-
-    /* test if we have loaded the corresponding .OSO already */
-    if (oso_modified_time != 0) {
-      const char *hash = shader_test_loaded(shader_filepath_hash(osopath, oso_modified_time));
-
-      if (hash)
-        return hash;
-    }
-
-    /* Auto-compile .OSL to .OSO if needed. */
-    if (oso_modified_time == 0 || (oso_modified_time < modified_time)) {
-      OSLShaderManager::osl_compile(filepath, osopath);
-      modified_time = path_modified_time(osopath);
-    }
-    else
-      modified_time = oso_modified_time;
-
-    filepath = osopath;
-  }
-  else {
-    if (extension == ".oso") {
-      /* .OSO File, nothing to do */
-    }
-    else if (path_dirname(filepath) == "") {
-      /* .OSO File in search path */
-      filepath = path_join(path_user_get("shaders"), filepath + ".oso");
-    }
-    else {
-      /* unknown file */
-      return NULL;
-    }
-
-    /* test if we have loaded this .OSO already */
-    const char *hash = shader_test_loaded(shader_filepath_hash(filepath, modified_time));
-
-    if (hash)
-      return hash;
-  }
-
-  /* read oso bytecode from file */
-  string bytecode_hash = shader_filepath_hash(filepath, modified_time);
-  string bytecode;
-
-  if (!path_read_text(filepath, bytecode)) {
-    fprintf(stderr, "Cycles shader graph: failed to read file %s\n", filepath.c_str());
-    OSLShaderInfo info;
-    loaded_shaders[bytecode_hash] = info; /* to avoid repeat tries */
-    return NULL;
-  }
-
-  return shader_load_bytecode(bytecode_hash, bytecode);
-}
-
-const char *OSLShaderManager::shader_load_bytecode(const string &hash, const string &bytecode)
-{
-  ss->LoadMemoryCompiledShader(hash.c_str(), bytecode.c_str());
-
-  OSLShaderInfo info;
-
-  if (!info.query.open_bytecode(bytecode)) {
-    fprintf(stderr, "OSL query error: %s\n", info.query.geterror().c_str());
-  }
-
-  /* this is a bit weak, but works */
-  info.has_surface_emission = (bytecode.find("\"emission\"") != string::npos);
-  info.has_surface_transparent = (bytecode.find("\"transparent\"") != string::npos);
-  info.has_surface_bssrdf = (bytecode.find("\"bssrdf\"") != string::npos);
-
-  loaded_shaders[hash] = info;
-
-  return loaded_shaders.find(hash)->first.c_str();
-}
-
-/* This is a static function to avoid RTTI link errors with only this
- * file being compiled without RTTI to match OSL and LLVM libraries. */
-OSLNode *OSLShaderManager::osl_node(ShaderGraph *graph,
-                                    ShaderManager *manager,
-                                    const std::string &filepath,
-                                    const std::string &bytecode_hash,
-                                    const std::string &bytecode)
-{
-  if (!manager->use_osl()) {
-    return NULL;
-  }
-
-  /* create query */
-  OSLShaderManager *osl_manager = static_cast<OSLShaderManager *>(manager);
-  const char *hash;
-
-  if (!filepath.empty()) {
-    hash = osl_manager->shader_load_filepath(filepath);
-  }
-  else {
-    hash = osl_manager->shader_test_loaded(bytecode_hash);
-    if (!hash)
-      hash = osl_manager->shader_load_bytecode(bytecode_hash, bytecode);
-  }
-
-  if (!hash) {
-    return NULL;
-  }
-
-  OSLShaderInfo *info = osl_manager->shader_loaded_info(hash);
-
-  /* count number of inputs */
-  size_t num_inputs = 0;
-
-  for (int i = 0; i < info->query.nparams(); i++) {
-    const OSL::OSLQuery::Parameter *param = info->query.getparam(i);
-
-    /* skip unsupported types */
-    if (param->varlenarray || param->isstruct || param->type.arraylen > 1)
-      continue;
-
-    if (!param->isoutput)
-      num_inputs++;
-  }
-
-  /* create node */
-  OSLNode *node = OSLNode::create(graph, num_inputs);
-
-  /* add new sockets from parameters */
-  set<void *> used_sockets;
-
-  for (int i = 0; i < info->query.nparams(); i++) {
-    const OSL::OSLQuery::Parameter *param = info->query.getparam(i);
-
-    /* skip unsupported types */
-    if (param->varlenarray || param->isstruct || param->type.arraylen > 1)
-      continue;
-
-    SocketType::Type socket_type;
-
-    if (param->isclosure) {
-      socket_type = SocketType::CLOSURE;
-    }
-    else if (param->type.vecsemantics != TypeDesc::NOSEMANTICS) {
-      if (param->type.vecsemantics == TypeDesc::COLOR)
-        socket_type = SocketType::COLOR;
-      else if (param->type.vecsemantics == TypeDesc::POINT)
-        socket_type = SocketType::POINT;
-      else if (param->type.vecsemantics == TypeDesc::VECTOR)
-        socket_type = SocketType::VECTOR;
-      else if (param->type.vecsemantics == TypeDesc::NORMAL)
-        socket_type = SocketType::NORMAL;
-      else
-        continue;
-
-      if (!param->isoutput && param->validdefault) {
-        float3 *default_value = (float3 *)node->input_default_value();
-        default_value->x = param->fdefault[0];
-        default_value->y = param->fdefault[1];
-        default_value->z = param->fdefault[2];
-      }
-    }
-    else if (param->type.aggregate == TypeDesc::SCALAR) {
-      if (param->type.basetype == TypeDesc::INT) {
-        socket_type = SocketType::INT;
-
-        if (!param->isoutput && param->validdefault) {
-          *(int *)node->input_default_value() = param->idefault[0];
-        }
-      }
-      else if (param->type.basetype == TypeDesc::FLOAT) {
-        socket_type = SocketType::FLOAT;
-
-        if (!param->isoutput && param->validdefault) {
-          *(float *)node->input_default_value() = param->fdefault[0];
-        }
-      }
-      else if (param->type.basetype == TypeDesc::STRING) {
-        socket_type = SocketType::STRING;
-
-        if (!param->isoutput && param->validdefault) {
-          *(ustring *)node->input_default_value() = param->sdefault[0];
-        }
-      }
-      else
-        continue;
-    }
-    else
-      continue;
-
-    if (param->isoutput) {
-      node->add_output(param->name, socket_type);
-    }
-    else {
-      node->add_input(param->name, socket_type);
-    }
-  }
-
-  /* Set byte-code hash or file-path. */
-  if (!bytecode_hash.empty()) {
-    node->bytecode_hash = bytecode_hash;
-  }
-  else {
-    node->filepath = filepath;
-  }
-
-  /* Generate inputs and outputs */
-  node->create_inputs_outputs(node->type);
-
-  return node;
-}
-
-/* Graph Compiler */
-
-OSLCompiler::OSLCompiler(OSLShaderManager *manager,
-                         OSLRenderServices *services,
-                         OSL::ShadingSystem *ss,
-                         Scene *scene)
-    : scene(scene), manager(manager), services(services), ss(ss)
-{
-  current_type = SHADER_TYPE_SURFACE;
-  current_shader = NULL;
-  background = false;
-}
-
-string OSLCompiler::id(ShaderNode *node)
-{
-  /* assign layer unique name based on pointer address + bump mode */
-  stringstream stream;
-  stream << "node_" << node->type->name << "_" << node;
-
-  return stream.str();
-}
-
-string OSLCompiler::compatible_name(ShaderNode *node, ShaderInput *input)
-{
-  string sname(input->name().string());
-  size_t i;
-
-  /* Strip white-space. */
-  while ((i = sname.find(" ")) != string::npos)
-    sname.replace(i, 1, "");
-
-  /* if output exists with the same name, add "In" suffix */
-  foreach (ShaderOutput *output, node->outputs) {
-    if (input->name() == output->name()) {
-      sname += "In";
-      break;
-    }
-  }
-
-  return sname;
-}
-
-string OSLCompiler::compatible_name(ShaderNode *node, ShaderOutput *output)
-{
-  string sname(output->name().string());
-  size_t i;
-
-  /* Strip white-space. */
-  while ((i = sname.find(" ")) != string::npos)
-    sname.replace(i, 1, "");
-
-  /* if input exists with the same name, add "Out" suffix */
-  foreach (ShaderInput *input, node->inputs) {
-    if (input->name() == output->name()) {
-      sname += "Out";
-      break;
-    }
-  }
-
-  return sname;
-}
-
-bool OSLCompiler::node_skip_input(ShaderNode *node, ShaderInput *input)
-{
-  /* exception for output node, only one input is actually used
-   * depending on the current shader type */
-
-  if (input->flags() & SocketType::SVM_INTERNAL)
-    return true;
-
-  if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT) {
-    if (input->name() == "Surface" && current_type != SHADER_TYPE_SURFACE)
-      return true;
-    if (input->name() == "Volume" && current_type != SHADER_TYPE_VOLUME)
-      return true;
-    if (input->name() == "Displacement" && current_type != SHADER_TYPE_DISPLACEMENT)
-      return true;
-    if (input->name() == "Normal" && current_type != SHADER_TYPE_BUMP)
-      return true;
-  }
-  else if (node->special_type == SHADER_SPECIAL_TYPE_BUMP) {
-    if (input->name() == "Height")
-      return true;
-  }
-  else if (current_type == SHADER_TYPE_DISPLACEMENT && input->link &&
-           input->link->parent->special_type == SHADER_SPECIAL_TYPE_BUMP)
-    return true;
-
-  return false;
-}
-
-void OSLCompiler::add(ShaderNode *node, const char *name, bool isfilepath)
-{
-  /* load filepath */
-  if (isfilepath) {
-    name = manager->shader_load_filepath(name);
-
-    if (name == NULL)
-      return;
-  }
-
-  /* pass in fixed parameter values */
-  foreach (ShaderInput *input, node->inputs) {
-    if (!input->link) {
-      /* checks to untangle graphs */
-      if (node_skip_input(node, input))
-        continue;
-
-      string param_name = compatible_name(node, input);
-      const SocketType &socket = input->socket_type;
-      switch (input->type()) {
-        case SocketType::COLOR:
-          parameter_color(param_name.c_str(), node->get_float3(socket));
-          break;
-        case SocketType::POINT:
-          parameter_point(param_name.c_str(), node->get_float3(socket));
-          break;
-        case SocketType::VECTOR:
-          parameter_vector(param_name.c_str(), node->get_float3(socket));
-          break;
-        case SocketType::NORMAL:
-          parameter_normal(param_name.c_str(), node->get_float3(socket));
-          break;
-        case SocketType::FLOAT:
-          parameter(param_name.c_str(), node->get_float(socket));
-          break;
-        case SocketType::INT:
-          parameter(param_name.c_str(), node->get_int(socket));
-          break;
-        case SocketType::STRING:
-          parameter(param_name.c_str(), node->get_string(socket));
-          break;
-        case SocketType::CLOSURE:
-        case SocketType::UNDEFINED:
-        default:
-          break;
-      }
-    }
-  }
-
-  /* Create shader of the appropriate type. OSL only distinguishes between "surface"
-   * and "displacement" at the moment. */
-  if (current_type == SHADER_TYPE_SURFACE)
-    ss->Shader("surface", name, id(node).c_str());
-  else if (current_type == SHADER_TYPE_VOLUME)
-    ss->Shader("surface", name, id(node).c_str());
-  else if (current_type == SHADER_TYPE_DISPLACEMENT)
-    ss->Shader("displacement", name, id(node).c_str());
-  else if (current_type == SHADER_TYPE_BUMP)
-    ss->Shader("displacement", name, id(node).c_str());
-  else
-    assert(0);
-
-  /* link inputs to other nodes */
-  foreach (ShaderInput *input, node->inputs) {
-    if (input->link) {
-      if (node_skip_input(node, input))
-        continue;
-
-      /* connect shaders */
-      string id_from = id(input->link->parent);
-      string id_to = id(node);
-      string param_from = compatible_name(input->link->parent, input->link);
-      string param_to = compatible_name(node, input);
-
-      ss->ConnectShaders(id_from.c_str(), param_from.c_str(), id_to.c_str(), param_to.c_str());
-    }
-  }
-
-  /* test if we shader contains specific closures */
-  OSLShaderInfo *info = manager->shader_loaded_info(name);
-
-  if (current_type == SHADER_TYPE_SURFACE) {
-    if (info) {
-      if (info->has_surface_emission)
-        current_shader->has_surface_emission = true;
-      if (info->has_surface_transparent)
-        current_shader->has_surface_transparent = true;
-      if (info->has_surface_bssrdf) {
-        current_shader->has_surface_bssrdf = true;
-        current_shader->has_bssrdf_bump = true; /* can't detect yet */
-      }
-      current_shader->has_bump = true;             /* can't detect yet */
-      current_shader->has_surface_raytrace = true; /* can't detect yet */
-    }
-
-    if (node->has_spatial_varying()) {
-      current_shader->has_surface_spatial_varying = true;
-    }
-  }
-  else if (current_type == SHADER_TYPE_VOLUME) {
-    if (node->has_spatial_varying())
-      current_shader->has_volume_spatial_varying = true;
-    if (node->has_attribute_dependency())
-      current_shader->has_volume_attribute_dependency = true;
-  }
-
-  if (node->has_integrator_dependency()) {
-    current_shader->has_integrator_dependency = true;
-  }
-}
-
-static TypeDesc array_typedesc(TypeDesc typedesc, int arraylength)
-{
-  return TypeDesc((TypeDesc::BASETYPE)typedesc.basetype,
-                  (TypeDesc::AGGREGATE)typedesc.aggregate,
-                  (TypeDesc::VECSEMANTICS)typedesc.vecsemantics,
-                  arraylength);
-}
-
-void OSLCompiler::parameter(ShaderNode *node, const char *name)
-{
-  ustring uname = ustring(name);
-  const SocketType &socket = *(node->type->find_input(uname));
-
-  switch (socket.type) {
-    case SocketType::BOOLEAN: {
-      int value = node->get_bool(socket);
-      ss->Parameter(name, TypeDesc::TypeInt, &value);
-      break;
-    }
-    case SocketType::FLOAT: {
-      float value = node->get_float(socket);
-      ss->Parameter(uname, TypeDesc::TypeFloat, &value);
-      break;
-    }
-    case SocketType::INT: {
-      int value = node->get_int(socket);
-      ss->Parameter(uname, TypeDesc::TypeInt, &value);
-      break;
-    }
-    case SocketType::COLOR: {
-      float3 value = node->get_float3(socket);
-      ss->Parameter(uname, TypeDesc::TypeColor, &value);
-      break;
-    }
-    case SocketType::VECTOR: {
-      float3 value = node->get_float3(socket);
-      ss->Parameter(uname, TypeDesc::TypeVector, &value);
-      break;
-    }
-    case SocketType::POINT: {
-      float3 value = node->get_float3(socket);
-      ss->Parameter(uname, TypeDesc::TypePoint, &value);
-      break;
-    }
-    case SocketType::NORMAL: {
-      float3 value = node->get_float3(socket);
-      ss->Parameter(uname, TypeDesc::TypeNormal, &value);
-      break;
-    }
-    case SocketType::POINT2: {
-      float2 value = node->get_float2(socket);
-      ss->Parameter(uname, TypeDesc(TypeDesc::FLOAT, TypeDesc::VEC2, TypeDesc::POINT), &value);
-      break;
-    }
-    case SocketType::STRING: {
-      ustring value = node->get_string(socket);
-      ss->Parameter(uname, TypeDesc::TypeString, &value);
-      break;
-    }
-    case SocketType::ENUM: {
-      ustring value = node->get_string(socket);
-      ss->Parameter(uname, TypeDesc::TypeString, &value);
-      break;
-    }
-    case SocketType::TRANSFORM: {
-      Transform value = node->get_transform(socket);
-      ProjectionTransform projection(value);
-      projection = projection_transpose(projection);
-      ss->Parameter(uname, TypeDesc::TypeMatrix, &projection);
-      break;
-    }
-    case SocketType::BOOLEAN_ARRAY: {
-      // OSL does not support booleans, so convert to int
-      const array<bool> &value = node->get_bool_array(socket);
-      array<int> intvalue(value.size());
-      for (size_t i = 0; i < value.size(); i++)
-        intvalue[i] = value[i];
-      ss->Parameter(uname, array_typedesc(TypeDesc::TypeInt, value.size()), intvalue.data());
-      break;
-    }
-    case SocketType::FLOAT_ARRAY: {
-      const array<float> &value = node->get_float_array(socket);
-      ss->Parameter(uname, array_typedesc(TypeDesc::TypeFloat, value.size()), value.data());
-      break;
-    }
-    case SocketType::INT_ARRAY: {
-      const array<int> &value = node->get_int_array(socket);
-      ss->Parameter(uname, array_typedesc(TypeDesc::TypeInt, value.size()), value.data());
-      break;
-    }
-    case SocketType::COLOR_ARRAY:
-    case SocketType::VECTOR_ARRAY:
-    case SocketType::POINT_ARRAY:
-    case SocketType::NORMAL_ARRAY: {
-      TypeDesc typedesc;
-
-      switch (socket.type) {
-        case SocketType::COLOR_ARRAY:
-          typedesc = TypeDesc::TypeColor;
-          break;
-        case SocketType::VECTOR_ARRAY:
-          typedesc = TypeDesc::TypeVector;
-          break;
-        case SocketType::POINT_ARRAY:
-          typedesc = TypeDesc::TypePoint;
-          break;
-        case SocketType::NORMAL_ARRAY:
-          typedesc = TypeDesc::TypeNormal;
-          break;
-        default:
-          assert(0);
-          break;
-      }
-
-      // convert to tightly packed array since float3 has padding
-      const array<float3> &value = node->get_float3_array(socket);
-      array<float> fvalue(value.size() * 3);
-      for (size_t i = 0, j = 0; i < value.size(); i++) {
-        fvalue[j++] = value[i].x;
-        fvalue[j++] = value[i].y;
-        fvalue[j++] = value[i].z;
-      }
-
-      ss->Parameter(uname, array_typedesc(typedesc, value.size()), fvalue.data());
-      break;
-    }
-    case SocketType::POINT2_ARRAY: {
-      const array<float2> &value = node->get_float2_array(socket);
-      ss->Parameter(
-          uname,
-          array_typedesc(TypeDesc(TypeDesc::FLOAT, TypeDesc::VEC2, TypeDesc::POINT), value.size()),
-          value.data());
-      break;
-    }
-    case SocketType::STRING_ARRAY: {
-      const array<ustring> &value = node->get_string_array(socket);
-      ss->Parameter(uname, array_typedesc(TypeDesc::TypeString, value.size()), value.data());
-      break;
-    }
-    case SocketType::TRANSFORM_ARRAY: {
-      const array<Transform> &value = node->get_transform_array(socket);
-      array<ProjectionTransform> fvalue(value.size());
-      for (size_t i = 0; i < value.size(); i++) {
-        fvalue[i] = projection_transpose(ProjectionTransform(value[i]));
-      }
-      ss->Parameter(uname, array_typedesc(TypeDesc::TypeMatrix, fvalue.size()), fvalue.data());
-      break;
-    }
-    case SocketType::CLOSURE:
-    case SocketType::NODE:
-    case SocketType::NODE_ARRAY:
-    case SocketType::UNDEFINED:
-    case SocketType::UINT: {
-      assert(0);
-      break;
-    }
-  }
-}
-
-void OSLCompiler::parameter(const char *name, float f)
-{
-  ss->Parameter(name, TypeDesc::TypeFloat, &f);
-}
-
-void OSLCompiler::parameter_color(const char *name, float3 f)
-{
-  ss->Parameter(name, TypeDesc::TypeColor, &f);
-}
-
-void OSLCompiler::parameter_point(const char *name, float3 f)
-{
-  ss->Parameter(name, TypeDesc::TypePoint, &f);
-}
-
-void OSLCompiler::parameter_normal(const char *name, float3 f)
-{
-  ss->Parameter(name, TypeDesc::TypeNormal, &f);
-}
-
-void OSLCompiler::parameter_vector(const char *name, float3 f)
-{
-  ss->Parameter(name, TypeDesc::TypeVector, &f);
-}
-
-void OSLCompiler::parameter(const char *name, int f)
-{
-  ss->Parameter(name, TypeDesc::TypeInt, &f);
-}
-
-void OSLCompiler::parameter(const char *name, const char *s)
-{
-  ss->Parameter(name, TypeDesc::TypeString, &s);
-}
-
-void OSLCompiler::parameter(const char *name, ustring s)
-{
-  const char *str = s.c_str();
-  ss->Parameter(name, TypeDesc::TypeString, &str);
-}
-
-void OSLCompiler::parameter(const char *name, const Transform &tfm)
-{
-  ProjectionTransform projection(tfm);
-  projection = projection_transpose(projection);
-  ss->Parameter(name, TypeDesc::TypeMatrix, (float *)&projection);
-}
-
-void OSLCompiler::parameter_array(const char *name, const float f[], int arraylen)
-{
-  TypeDesc type = TypeDesc::TypeFloat;
-  type.arraylen = arraylen;
-  ss->Parameter(name, type, f);
-}
-
-void OSLCompiler::parameter_color_array(const char *name, const array<float3> &f)
-{
-  /* NOTE: cycles float3 type is actually 4 floats! need to use an explicit array. */
-  array<float[3]> table(f.size());
-
-  for (int i = 0; i < f.size(); ++i) {
-    table[i][0] = f[i].x;
-    table[i][1] = f[i].y;
-    table[i][2] = f[i].z;
-  }
-
-  TypeDesc type = TypeDesc::TypeColor;
-  type.arraylen = table.size();
-  ss->Parameter(name, type, table.data());
-}
-
-void OSLCompiler::parameter_attribute(const char *name, ustring s)
-{
-  if (Attribute::name_standard(s.c_str()))
-    parameter(name, (string("geom:") + s.c_str()).c_str());
-  else
-    parameter(name, s.c_str());
-}
-
-void OSLCompiler::find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input)
-{
-  ShaderNode *node = (input->link) ? input->link->parent : NULL;
-
-  if (node != NULL && dependencies.find(node) == dependencies.end()) {
-    foreach (ShaderInput *in, node->inputs)
-      if (!node_skip_input(node, in))
-        find_dependencies(dependencies, in);
-
-    dependencies.insert(node);
-  }
-}
-
-void OSLCompiler::generate_nodes(const ShaderNodeSet &nodes)
-{
-  ShaderNodeSet done;
-  bool nodes_done;
-
-  do {
-    nodes_done = true;
-
-    foreach (ShaderNode *node, nodes) {
-      if (done.find(node) == done.end()) {
-        bool inputs_done = true;
-
-        foreach (ShaderInput *input, node->inputs)
-          if (!node_skip_input(node, input))
-            if (input->link && done.find(input->link->parent) == done.end())
-              inputs_done = false;
-
-        if (inputs_done) {
-          node->compile(*this);
-          done.insert(node);
-
-          if (current_type == SHADER_TYPE_SURFACE) {
-            if (node->has_surface_emission())
-              current_shader->has_surface_emission = true;
-            if (node->has_surface_transparent())
-              current_shader->has_surface_transparent = true;
-            if (node->get_feature() & KERNEL_FEATURE_NODE_RAYTRACE)
-              current_shader->has_surface_raytrace = true;
-            if (node->has_spatial_varying())
-              current_shader->has_surface_spatial_varying = true;
-            if (node->has_surface_bssrdf()) {
-              current_shader->has_surface_bssrdf = true;
-              if (node->has_bssrdf_bump())
-                current_shader->has_bssrdf_bump = true;
-            }
-            if (node->has_bump()) {
-              current_shader->has_bump = true;
-            }
-          }
-          else if (current_type == SHADER_TYPE_VOLUME) {
-            if (node->has_spatial_varying())
-              current_shader->has_volume_spatial_varying = true;
-          }
-        }
-        else
-          nodes_done = false;
-      }
-    }
-  } while (!nodes_done);
-}
-
-OSL::ShaderGroupRef OSLCompiler::compile_type(Shader *shader, ShaderGraph *graph, ShaderType type)
-{
-  current_type = type;
-
-  OSL::ShaderGroupRef group = ss->ShaderGroupBegin(shader->name.c_str());
-
-  ShaderNode *output = graph->output();
-  ShaderNodeSet dependencies;
-
-  if (type == SHADER_TYPE_SURFACE) {
-    /* generate surface shader */
-    find_dependencies(dependencies, output->input("Surface"));
-    generate_nodes(dependencies);
-    output->compile(*this);
-  }
-  else if (type == SHADER_TYPE_BUMP) {
-    /* generate bump shader */
-    find_dependencies(dependencies, output->input("Normal"));
-    generate_nodes(dependencies);
-    output->compile(*this);
-  }
-  else if (type == SHADER_TYPE_VOLUME) {
-    /* generate volume shader */
-    find_dependencies(dependencies, output->input("Volume"));
-    generate_nodes(dependencies);
-    output->compile(*this);
-  }
-  else if (type == SHADER_TYPE_DISPLACEMENT) {
-    /* generate displacement shader */
-    find_dependencies(dependencies, output->input("Displacement"));
-    generate_nodes(dependencies);
-    output->compile(*this);
-  }
-  else
-    assert(0);
-
-  ss->ShaderGroupEnd();
-
-  return group;
-}
-
-void OSLCompiler::compile(OSLGlobals *og, Shader *shader)
-{
-  if (shader->is_modified()) {
-    ShaderGraph *graph = shader->graph;
-    ShaderNode *output = (graph) ? graph->output() : NULL;
-
-    bool has_bump = (shader->get_displacement_method() != DISPLACE_TRUE) &&
-                    output->input("Surface")->link && output->input("Displacement")->link;
-
-    /* finalize */
-    shader->graph->finalize(scene,
-                            has_bump,
-                            shader->has_integrator_dependency,
-                            shader->get_displacement_method() == DISPLACE_BOTH);
-
-    current_shader = shader;
-
-    shader->has_surface = false;
-    shader->has_surface_emission = false;
-    shader->has_surface_transparent = false;
-    shader->has_surface_bssrdf = false;
-    shader->has_bump = has_bump;
-    shader->has_bssrdf_bump = has_bump;
-    shader->has_volume = false;
-    shader->has_displacement = false;
-    shader->has_surface_spatial_varying = false;
-    shader->has_volume_spatial_varying = false;
-    shader->has_volume_attribute_dependency = false;
-    shader->has_integrator_dependency = false;
-
-    /* generate surface shader */
-    if (shader->reference_count() && graph && output->input("Surface")->link) {
-      shader->osl_surface_ref = compile_type(shader, shader->graph, SHADER_TYPE_SURFACE);
-
-      if (has_bump)
-        shader->osl_surface_bump_ref = compile_type(shader, shader->graph, SHADER_TYPE_BUMP);
-      else
-        shader->osl_surface_bump_ref = OSL::ShaderGroupRef();
-
-      shader->has_surface = true;
-    }
-    else {
-      shader->osl_surface_ref = OSL::ShaderGroupRef();
-      shader->osl_surface_bump_ref = OSL::ShaderGroupRef();
-    }
-
-    /* generate volume shader */
-    if (shader->reference_count() && graph && output->input("Volume")->link) {
-      shader->osl_volume_ref = compile_type(shader, shader->graph, SHADER_TYPE_VOLUME);
-      shader->has_volume = true;
-    }
-    else
-      shader->osl_volume_ref = OSL::ShaderGroupRef();
-
-    /* generate displacement shader */
-    if (shader->reference_count() && graph && output->input("Displacement")->link) {
-      shader->osl_displacement_ref = compile_type(shader, shader->graph, SHADER_TYPE_DISPLACEMENT);
-      shader->has_displacement = true;
-    }
-    else
-      shader->osl_displacement_ref = OSL::ShaderGroupRef();
-  }
-
-  /* push state to array for lookup */
-  og->surface_state.push_back(shader->osl_surface_ref);
-  og->volume_state.push_back(shader->osl_volume_ref);
-  og->displacement_state.push_back(shader->osl_displacement_ref);
-  og->bump_state.push_back(shader->osl_surface_bump_ref);
-}
-
-void OSLCompiler::parameter_texture(const char *name, ustring filename, ustring colorspace)
-{
-  /* Textured loaded through the OpenImageIO texture cache. For this
-   * case we need to do runtime color space conversion. */
-  OSLTextureHandle *handle = new OSLTextureHandle(OSLTextureHandle::OIIO);
-  handle->processor = ColorSpaceManager::get_processor(colorspace);
-  services->textures.insert(filename, handle);
-  parameter(name, filename);
-}
-
-void OSLCompiler::parameter_texture(const char *name, int svm_slot)
-{
-  /* Texture loaded through SVM image texture system. We generate a unique
-   * name, which ends up being used in OSLRenderServices::get_texture_handle
-   * to get handle again. Note that this name must be unique between multiple
-   * render sessions as the render services are shared. */
-  ustring filename(string_printf("@svm%d", texture_shared_unique_id++).c_str());
-  services->textures.insert(filename, new OSLTextureHandle(OSLTextureHandle::SVM, svm_slot));
-  parameter(name, filename);
-}
-
-void OSLCompiler::parameter_texture_ies(const char *name, int svm_slot)
-{
-  /* IES light textures stored in SVM. */
-  ustring filename(string_printf("@svm%d", texture_shared_unique_id++).c_str());
-  services->textures.insert(filename, new OSLTextureHandle(OSLTextureHandle::IES, svm_slot));
-  parameter(name, filename);
-}
-
-#else
-
-void OSLCompiler::add(ShaderNode * /*node*/, const char * /*name*/, bool /*isfilepath*/)
-{
-}
-
-void OSLCompiler::parameter(ShaderNode * /*node*/, const char * /*name*/)
-{
-}
-
-void OSLCompiler::parameter(const char * /*name*/, float /*f*/)
-{
-}
-
-void OSLCompiler::parameter_color(const char * /*name*/, float3 /*f*/)
-{
-}
-
-void OSLCompiler::parameter_vector(const char * /*name*/, float3 /*f*/)
-{
-}
-
-void OSLCompiler::parameter_point(const char * /*name*/, float3 /*f*/)
-{
-}
-
-void OSLCompiler::parameter_normal(const char * /*name*/, float3 /*f*/)
-{
-}
-
-void OSLCompiler::parameter(const char * /*name*/, int /*f*/)
-{
-}
-
-void OSLCompiler::parameter(const char * /*name*/, const char * /*s*/)
-{
-}
-
-void OSLCompiler::parameter(const char * /*name*/, ustring /*s*/)
-{
-}
-
-void OSLCompiler::parameter(const char * /*name*/, const Transform & /*tfm*/)
-{
-}
-
-void OSLCompiler::parameter_array(const char * /*name*/, const float /*f*/[], int /*arraylen*/)
-{
-}
-
-void OSLCompiler::parameter_color_array(const char * /*name*/, const array<float3> & /*f*/)
-{
-}
-
-void OSLCompiler::parameter_texture(const char * /* name */,
-                                    ustring /* filename */,
-                                    ustring /* colorspace */)
-{
-}
-
-void OSLCompiler::parameter_texture(const char * /* name */, int /* svm_slot */)
-{
-}
-
-void OSLCompiler::parameter_texture_ies(const char * /* name */, int /* svm_slot */)
-{
-}
-
-#endif /* WITH_OSL */
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/osl.h b/intern/cycles/render/osl.h
deleted file mode 100644
index dfeec54d915..00000000000
--- a/intern/cycles/render/osl.h
+++ /dev/null
@@ -1,198 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __OSL_H__
-#define __OSL_H__
-
-#include "util/util_array.h"
-#include "util/util_set.h"
-#include "util/util_string.h"
-#include "util/util_thread.h"
-
-#include "render/graph.h"
-#include "render/nodes.h"
-#include "render/shader.h"
-
-#ifdef WITH_OSL
-#  include <OSL/llvm_util.h>
-#  include <OSL/oslcomp.h>
-#  include <OSL/oslexec.h>
-#  include <OSL/oslquery.h>
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class ImageManager;
-class OSLRenderServices;
-struct OSLGlobals;
-class Scene;
-class ShaderGraph;
-class ShaderNode;
-class ShaderInput;
-class ShaderOutput;
-
-#ifdef WITH_OSL
-
-/* OSL Shader Info
- * to auto detect closures in the shader for MIS and transparent shadows */
-
-struct OSLShaderInfo {
-  OSLShaderInfo()
-      : has_surface_emission(false), has_surface_transparent(false), has_surface_bssrdf(false)
-  {
-  }
-
-  OSL::OSLQuery query;
-  bool has_surface_emission;
-  bool has_surface_transparent;
-  bool has_surface_bssrdf;
-};
-
-/* Shader Manage */
-
-class OSLShaderManager : public ShaderManager {
- public:
-  OSLShaderManager();
-  ~OSLShaderManager();
-
-  static void free_memory();
-
-  void reset(Scene *scene) override;
-
-  bool use_osl() override
-  {
-    return true;
-  }
-
-  void device_update_specific(Device *device,
-                              DeviceScene *dscene,
-                              Scene *scene,
-                              Progress &progress) override;
-  void device_free(Device *device, DeviceScene *dscene, Scene *scene) override;
-
-  /* osl compile and query */
-  static bool osl_compile(const string &inputfile, const string &outputfile);
-  static bool osl_query(OSL::OSLQuery &query, const string &filepath);
-
-  /* shader file loading, all functions return pointer to hash string if found */
-  const char *shader_test_loaded(const string &hash);
-  const char *shader_load_bytecode(const string &hash, const string &bytecode);
-  const char *shader_load_filepath(string filepath);
-  OSLShaderInfo *shader_loaded_info(const string &hash);
-
-  /* create OSL node using OSLQuery */
-  static OSLNode *osl_node(ShaderGraph *graph,
-                           ShaderManager *manager,
-                           const std::string &filepath,
-                           const std::string &bytecode_hash = "",
-                           const std::string &bytecode = "");
-
- protected:
-  void texture_system_init();
-  void texture_system_free();
-
-  void shading_system_init();
-  void shading_system_free();
-
-  OSL::ShadingSystem *ss;
-  OSL::TextureSystem *ts;
-  OSLRenderServices *services;
-  OSL::ErrorHandler errhandler;
-  map<string, OSLShaderInfo> loaded_shaders;
-
-  static OSL::TextureSystem *ts_shared;
-  static thread_mutex ts_shared_mutex;
-  static int ts_shared_users;
-
-  static OSL::ShadingSystem *ss_shared;
-  static OSLRenderServices *services_shared;
-  static thread_mutex ss_shared_mutex;
-  static thread_mutex ss_mutex;
-  static int ss_shared_users;
-};
-
-#endif
-
-/* Graph Compiler */
-
-class OSLCompiler {
- public:
-#ifdef WITH_OSL
-  OSLCompiler(OSLShaderManager *manager,
-              OSLRenderServices *services,
-              OSL::ShadingSystem *shadingsys,
-              Scene *scene);
-#endif
-  void compile(OSLGlobals *og, Shader *shader);
-
-  void add(ShaderNode *node, const char *name, bool isfilepath = false);
-
-  void parameter(ShaderNode *node, const char *name);
-
-  void parameter(const char *name, float f);
-  void parameter_color(const char *name, float3 f);
-  void parameter_vector(const char *name, float3 f);
-  void parameter_normal(const char *name, float3 f);
-  void parameter_point(const char *name, float3 f);
-  void parameter(const char *name, int f);
-  void parameter(const char *name, const char *s);
-  void parameter(const char *name, ustring str);
-  void parameter(const char *name, const Transform &tfm);
-
-  void parameter_array(const char *name, const float f[], int arraylen);
-  void parameter_color_array(const char *name, const array<float3> &f);
-
-  void parameter_attribute(const char *name, ustring s);
-
-  void parameter_texture(const char *name, ustring filename, ustring colorspace);
-  void parameter_texture(const char *name, int svm_slot);
-  void parameter_texture_ies(const char *name, int svm_slot);
-
-  ShaderType output_type()
-  {
-    return current_type;
-  }
-
-  bool background;
-  Scene *scene;
-
- private:
-#ifdef WITH_OSL
-  string id(ShaderNode *node);
-  OSL::ShaderGroupRef compile_type(Shader *shader, ShaderGraph *graph, ShaderType type);
-  bool node_skip_input(ShaderNode *node, ShaderInput *input);
-  string compatible_name(ShaderNode *node, ShaderInput *input);
-  string compatible_name(ShaderNode *node, ShaderOutput *output);
-
-  void find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input);
-  void generate_nodes(const ShaderNodeSet &nodes);
-
-  OSLShaderManager *manager;
-  OSLRenderServices *services;
-  OSL::ShadingSystem *ss;
-#endif
-
-  ShaderType current_type;
-  Shader *current_shader;
-
-  static int texture_shared_unique_id;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __OSL_H__ */
diff --git a/intern/cycles/render/output_driver.h b/intern/cycles/render/output_driver.h
deleted file mode 100644
index b7e980d71d4..00000000000
--- a/intern/cycles/render/output_driver.h
+++ /dev/null
@@ -1,82 +0,0 @@
-/*
- * Copyright 2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "util/util_math.h"
-#include "util/util_string.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Output driver for reading render buffers.
- *
- * Host applications implement this interface for outputting render buffers for offline rendering.
- * Drivers can be used to copy the buffers into the host application or write them directly to
- * disk. This interface may also be used for interactive display, however the DisplayDriver is more
- * efficient for that purpose.
- */
-class OutputDriver {
- public:
-  OutputDriver() = default;
-  virtual ~OutputDriver() = default;
-
-  class Tile {
-   public:
-    Tile(const int2 offset,
-         const int2 size,
-         const int2 full_size,
-         const string_view layer,
-         const string_view view)
-        : offset(offset), size(size), full_size(full_size), layer(layer), view(view)
-    {
-    }
-    virtual ~Tile() = default;
-
-    const int2 offset;
-    const int2 size;
-    const int2 full_size;
-    const string layer;
-    const string view;
-
-    virtual bool get_pass_pixels(const string_view pass_name,
-                                 const int num_channels,
-                                 float *pixels) const = 0;
-    virtual bool set_pass_pixels(const string_view pass_name,
-                                 const int num_channels,
-                                 const float *pixels) const = 0;
-  };
-
-  /* Write tile once it has finished rendering. */
-  virtual void write_render_tile(const Tile &tile) = 0;
-
-  /* Update tile while rendering is in progress. Return true if any update
-   * was performed. */
-  virtual bool update_render_tile(const Tile & /* tile */)
-  {
-    return false;
-  }
-
-  /* For baking, read render pass PASS_BAKE_PRIMITIVE and PASS_BAKE_DIFFERENTIAL
-   * to determine which shading points to use for baking at each pixel. Return
-   * true if any data was read. */
-  virtual bool read_render_tile(const Tile & /* tile */)
-  {
-    return false;
-  }
-};
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/particles.cpp b/intern/cycles/render/particles.cpp
deleted file mode 100644
index 02dd1359b18..00000000000
--- a/intern/cycles/render/particles.cpp
+++ /dev/null
@@ -1,149 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/particles.h"
-#include "device/device.h"
-#include "render/scene.h"
-#include "render/stats.h"
-
-#include "util/util_foreach.h"
-#include "util/util_hash.h"
-#include "util/util_logging.h"
-#include "util/util_map.h"
-#include "util/util_progress.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Particle System */
-
-NODE_DEFINE(ParticleSystem)
-{
-  NodeType *type = NodeType::add("particle_system", create);
-  return type;
-}
-
-ParticleSystem::ParticleSystem() : Node(get_node_type())
-{
-}
-
-ParticleSystem::~ParticleSystem()
-{
-}
-
-void ParticleSystem::tag_update(Scene *scene)
-{
-  scene->particle_system_manager->tag_update(scene);
-}
-
-/* Particle System Manager */
-
-ParticleSystemManager::ParticleSystemManager()
-{
-  need_update_ = true;
-}
-
-ParticleSystemManager::~ParticleSystemManager()
-{
-}
-
-void ParticleSystemManager::device_update_particles(Device *,
-                                                    DeviceScene *dscene,
-                                                    Scene *scene,
-                                                    Progress &progress)
-{
-  /* count particles.
-   * adds one dummy particle at the beginning to avoid invalid lookups,
-   * in case a shader uses particle info without actual particle data. */
-  int num_particles = 1;
-  for (size_t j = 0; j < scene->particle_systems.size(); j++)
-    num_particles += scene->particle_systems[j]->particles.size();
-
-  KernelParticle *kparticles = dscene->particles.alloc(num_particles);
-
-  /* dummy particle */
-  memset(kparticles, 0, sizeof(KernelParticle));
-
-  int i = 1;
-  for (size_t j = 0; j < scene->particle_systems.size(); j++) {
-    ParticleSystem *psys = scene->particle_systems[j];
-
-    for (size_t k = 0; k < psys->particles.size(); k++) {
-      /* pack in texture */
-      Particle &pa = psys->particles[k];
-
-      kparticles[i].index = pa.index;
-      kparticles[i].age = pa.age;
-      kparticles[i].lifetime = pa.lifetime;
-      kparticles[i].size = pa.size;
-      kparticles[i].rotation = pa.rotation;
-      kparticles[i].location = float3_to_float4(pa.location);
-      kparticles[i].velocity = float3_to_float4(pa.velocity);
-      kparticles[i].angular_velocity = float3_to_float4(pa.angular_velocity);
-
-      i++;
-
-      if (progress.get_cancel())
-        return;
-    }
-  }
-
-  dscene->particles.copy_to_device();
-}
-
-void ParticleSystemManager::device_update(Device *device,
-                                          DeviceScene *dscene,
-                                          Scene *scene,
-                                          Progress &progress)
-{
-  if (!need_update())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->particles.times.add_entry({"device_update", time});
-    }
-  });
-
-  VLOG(1) << "Total " << scene->particle_systems.size() << " particle systems.";
-
-  device_free(device, dscene);
-
-  progress.set_status("Updating Particle Systems", "Copying Particles to device");
-  device_update_particles(device, dscene, scene, progress);
-
-  if (progress.get_cancel())
-    return;
-
-  need_update_ = false;
-}
-
-void ParticleSystemManager::device_free(Device *, DeviceScene *dscene)
-{
-  dscene->particles.free();
-}
-
-void ParticleSystemManager::tag_update(Scene * /*scene*/)
-{
-  need_update_ = true;
-}
-
-bool ParticleSystemManager::need_update() const
-{
-  return need_update_;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/particles.h b/intern/cycles/render/particles.h
deleted file mode 100644
index 8b59756f148..00000000000
--- a/intern/cycles/render/particles.h
+++ /dev/null
@@ -1,80 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __PARTICLES_H__
-#define __PARTICLES_H__
-
-#include "util/util_array.h"
-#include "util/util_types.h"
-
-#include "graph/node.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Progress;
-class Scene;
-
-/* Particle System */
-
-struct Particle {
-  int index;
-  float age;
-  float lifetime;
-  float3 location;
-  float4 rotation;
-  float size;
-  float3 velocity;
-  float3 angular_velocity;
-};
-
-class ParticleSystem : public Node {
- public:
-  NODE_DECLARE
-
-  ParticleSystem();
-  ~ParticleSystem();
-
-  void tag_update(Scene *scene);
-
-  array<Particle> particles;
-};
-
-/* ParticleSystem Manager */
-
-class ParticleSystemManager {
-  bool need_update_;
-
- public:
-  ParticleSystemManager();
-  ~ParticleSystemManager();
-
-  void device_update_particles(Device *device,
-                               DeviceScene *dscene,
-                               Scene *scene,
-                               Progress &progress);
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-  void device_free(Device *device, DeviceScene *dscene);
-
-  void tag_update(Scene *scene);
-
-  bool need_update() const;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __PARTICLES_H__ */
diff --git a/intern/cycles/render/pass.cpp b/intern/cycles/render/pass.cpp
deleted file mode 100644
index cd044a16353..00000000000
--- a/intern/cycles/render/pass.cpp
+++ /dev/null
@@ -1,426 +0,0 @@
-/*
- * Copyright 2011-2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/pass.h"
-
-#include "util/util_algorithm.h"
-#include "util/util_logging.h"
-
-CCL_NAMESPACE_BEGIN
-
-const char *pass_type_as_string(const PassType type)
-{
-  const int type_int = static_cast<int>(type);
-
-  const NodeEnum *type_enum = Pass::get_type_enum();
-
-  if (!type_enum->exists(type_int)) {
-    LOG(DFATAL) << "Unhandled pass type " << static_cast<int>(type) << ", not supposed to happen.";
-    return "UNKNOWN";
-  }
-
-  return (*type_enum)[type_int].c_str();
-}
-
-const char *pass_mode_as_string(PassMode mode)
-{
-  switch (mode) {
-    case PassMode::NOISY:
-      return "NOISY";
-    case PassMode::DENOISED:
-      return "DENOISED";
-  }
-
-  LOG(DFATAL) << "Unhandled pass mode " << static_cast<int>(mode) << ", should never happen.";
-  return "UNKNOWN";
-}
-
-std::ostream &operator<<(std::ostream &os, PassMode mode)
-{
-  os << pass_mode_as_string(mode);
-  return os;
-}
-
-const NodeEnum *Pass::get_type_enum()
-{
-  static NodeEnum pass_type_enum;
-
-  if (pass_type_enum.empty()) {
-
-    /* Light Passes. */
-    pass_type_enum.insert("combined", PASS_COMBINED);
-    pass_type_enum.insert("emission", PASS_EMISSION);
-    pass_type_enum.insert("background", PASS_BACKGROUND);
-    pass_type_enum.insert("ao", PASS_AO);
-    pass_type_enum.insert("shadow", PASS_SHADOW);
-    pass_type_enum.insert("diffuse", PASS_DIFFUSE);
-    pass_type_enum.insert("diffuse_direct", PASS_DIFFUSE_DIRECT);
-    pass_type_enum.insert("diffuse_indirect", PASS_DIFFUSE_INDIRECT);
-    pass_type_enum.insert("glossy", PASS_GLOSSY);
-    pass_type_enum.insert("glossy_direct", PASS_GLOSSY_DIRECT);
-    pass_type_enum.insert("glossy_indirect", PASS_GLOSSY_INDIRECT);
-    pass_type_enum.insert("transmission", PASS_TRANSMISSION);
-    pass_type_enum.insert("transmission_direct", PASS_TRANSMISSION_DIRECT);
-    pass_type_enum.insert("transmission_indirect", PASS_TRANSMISSION_INDIRECT);
-    pass_type_enum.insert("volume", PASS_VOLUME);
-    pass_type_enum.insert("volume_direct", PASS_VOLUME_DIRECT);
-    pass_type_enum.insert("volume_indirect", PASS_VOLUME_INDIRECT);
-
-    /* Data passes. */
-    pass_type_enum.insert("depth", PASS_DEPTH);
-    pass_type_enum.insert("position", PASS_POSITION);
-    pass_type_enum.insert("normal", PASS_NORMAL);
-    pass_type_enum.insert("roughness", PASS_ROUGHNESS);
-    pass_type_enum.insert("uv", PASS_UV);
-    pass_type_enum.insert("object_id", PASS_OBJECT_ID);
-    pass_type_enum.insert("material_id", PASS_MATERIAL_ID);
-    pass_type_enum.insert("motion", PASS_MOTION);
-    pass_type_enum.insert("motion_weight", PASS_MOTION_WEIGHT);
-    pass_type_enum.insert("cryptomatte", PASS_CRYPTOMATTE);
-    pass_type_enum.insert("aov_color", PASS_AOV_COLOR);
-    pass_type_enum.insert("aov_value", PASS_AOV_VALUE);
-    pass_type_enum.insert("adaptive_aux_buffer", PASS_ADAPTIVE_AUX_BUFFER);
-    pass_type_enum.insert("sample_count", PASS_SAMPLE_COUNT);
-    pass_type_enum.insert("diffuse_color", PASS_DIFFUSE_COLOR);
-    pass_type_enum.insert("glossy_color", PASS_GLOSSY_COLOR);
-    pass_type_enum.insert("transmission_color", PASS_TRANSMISSION_COLOR);
-    pass_type_enum.insert("mist", PASS_MIST);
-    pass_type_enum.insert("denoising_normal", PASS_DENOISING_NORMAL);
-    pass_type_enum.insert("denoising_albedo", PASS_DENOISING_ALBEDO);
-    pass_type_enum.insert("denoising_depth", PASS_DENOISING_DEPTH);
-
-    pass_type_enum.insert("shadow_catcher", PASS_SHADOW_CATCHER);
-    pass_type_enum.insert("shadow_catcher_sample_count", PASS_SHADOW_CATCHER_SAMPLE_COUNT);
-    pass_type_enum.insert("shadow_catcher_matte", PASS_SHADOW_CATCHER_MATTE);
-
-    pass_type_enum.insert("bake_primitive", PASS_BAKE_PRIMITIVE);
-    pass_type_enum.insert("bake_differential", PASS_BAKE_DIFFERENTIAL);
-  }
-
-  return &pass_type_enum;
-}
-
-const NodeEnum *Pass::get_mode_enum()
-{
-  static NodeEnum pass_mode_enum;
-
-  if (pass_mode_enum.empty()) {
-    pass_mode_enum.insert("noisy", static_cast<int>(PassMode::NOISY));
-    pass_mode_enum.insert("denoised", static_cast<int>(PassMode::DENOISED));
-  }
-
-  return &pass_mode_enum;
-}
-
-NODE_DEFINE(Pass)
-{
-  NodeType *type = NodeType::add("pass", create);
-
-  const NodeEnum *pass_type_enum = get_type_enum();
-  const NodeEnum *pass_mode_enum = get_mode_enum();
-
-  SOCKET_ENUM(type, "Type", *pass_type_enum, PASS_COMBINED);
-  SOCKET_ENUM(mode, "Mode", *pass_mode_enum, static_cast<int>(PassMode::DENOISED));
-  SOCKET_STRING(name, "Name", ustring());
-  SOCKET_BOOLEAN(include_albedo, "Include Albedo", false);
-
-  return type;
-}
-
-Pass::Pass() : Node(get_node_type()), is_auto_(false)
-{
-}
-
-PassInfo Pass::get_info() const
-{
-  return get_info(type, include_albedo);
-}
-
-bool Pass::is_written() const
-{
-  return get_info().is_written;
-}
-
-PassInfo Pass::get_info(const PassType type, const bool include_albedo)
-{
-  PassInfo pass_info;
-
-  pass_info.use_filter = true;
-  pass_info.use_exposure = false;
-  pass_info.divide_type = PASS_NONE;
-  pass_info.use_compositing = false;
-  pass_info.use_denoising_albedo = true;
-
-  switch (type) {
-    case PASS_NONE:
-      pass_info.num_components = 0;
-      break;
-    case PASS_COMBINED:
-      pass_info.num_components = 4;
-      pass_info.use_exposure = true;
-      pass_info.support_denoise = true;
-      break;
-    case PASS_DEPTH:
-      pass_info.num_components = 1;
-      pass_info.use_filter = false;
-      break;
-    case PASS_MIST:
-      pass_info.num_components = 1;
-      break;
-    case PASS_POSITION:
-      pass_info.num_components = 3;
-      break;
-    case PASS_NORMAL:
-      pass_info.num_components = 3;
-      break;
-    case PASS_ROUGHNESS:
-      pass_info.num_components = 1;
-      break;
-    case PASS_UV:
-      pass_info.num_components = 3;
-      break;
-    case PASS_MOTION:
-      pass_info.num_components = 4;
-      pass_info.divide_type = PASS_MOTION_WEIGHT;
-      break;
-    case PASS_MOTION_WEIGHT:
-      pass_info.num_components = 1;
-      break;
-    case PASS_OBJECT_ID:
-    case PASS_MATERIAL_ID:
-      pass_info.num_components = 1;
-      pass_info.use_filter = false;
-      break;
-
-    case PASS_EMISSION:
-    case PASS_BACKGROUND:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      break;
-    case PASS_AO:
-      pass_info.num_components = 3;
-      break;
-    case PASS_SHADOW:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = false;
-      break;
-
-    case PASS_DIFFUSE_COLOR:
-    case PASS_GLOSSY_COLOR:
-    case PASS_TRANSMISSION_COLOR:
-      pass_info.num_components = 3;
-      break;
-    case PASS_DIFFUSE:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.direct_type = PASS_DIFFUSE_DIRECT;
-      pass_info.indirect_type = PASS_DIFFUSE_INDIRECT;
-      pass_info.divide_type = (!include_albedo) ? PASS_DIFFUSE_COLOR : PASS_NONE;
-      pass_info.use_compositing = true;
-      pass_info.is_written = false;
-      break;
-    case PASS_DIFFUSE_DIRECT:
-    case PASS_DIFFUSE_INDIRECT:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.divide_type = (!include_albedo) ? PASS_DIFFUSE_COLOR : PASS_NONE;
-      pass_info.use_compositing = true;
-      break;
-    case PASS_GLOSSY:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.direct_type = PASS_GLOSSY_DIRECT;
-      pass_info.indirect_type = PASS_GLOSSY_INDIRECT;
-      pass_info.divide_type = (!include_albedo) ? PASS_GLOSSY_COLOR : PASS_NONE;
-      pass_info.use_compositing = true;
-      pass_info.is_written = false;
-      break;
-    case PASS_GLOSSY_DIRECT:
-    case PASS_GLOSSY_INDIRECT:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.divide_type = (!include_albedo) ? PASS_GLOSSY_COLOR : PASS_NONE;
-      pass_info.use_compositing = true;
-      break;
-    case PASS_TRANSMISSION:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.direct_type = PASS_TRANSMISSION_DIRECT;
-      pass_info.indirect_type = PASS_TRANSMISSION_INDIRECT;
-      pass_info.divide_type = (!include_albedo) ? PASS_TRANSMISSION_COLOR : PASS_NONE;
-      pass_info.use_compositing = true;
-      pass_info.is_written = false;
-      break;
-    case PASS_TRANSMISSION_DIRECT:
-    case PASS_TRANSMISSION_INDIRECT:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.divide_type = (!include_albedo) ? PASS_TRANSMISSION_COLOR : PASS_NONE;
-      pass_info.use_compositing = true;
-      break;
-    case PASS_VOLUME:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.direct_type = PASS_VOLUME_DIRECT;
-      pass_info.indirect_type = PASS_VOLUME_INDIRECT;
-      pass_info.use_compositing = true;
-      pass_info.is_written = false;
-      break;
-    case PASS_VOLUME_DIRECT:
-    case PASS_VOLUME_INDIRECT:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      break;
-
-    case PASS_CRYPTOMATTE:
-      pass_info.num_components = 4;
-      break;
-
-    case PASS_DENOISING_NORMAL:
-      pass_info.num_components = 3;
-      break;
-    case PASS_DENOISING_ALBEDO:
-      pass_info.num_components = 3;
-      break;
-    case PASS_DENOISING_DEPTH:
-      pass_info.num_components = 1;
-      break;
-
-    case PASS_SHADOW_CATCHER:
-      pass_info.num_components = 3;
-      pass_info.use_exposure = true;
-      pass_info.use_compositing = true;
-      pass_info.use_denoising_albedo = false;
-      pass_info.support_denoise = true;
-      break;
-    case PASS_SHADOW_CATCHER_SAMPLE_COUNT:
-      pass_info.num_components = 1;
-      break;
-    case PASS_SHADOW_CATCHER_MATTE:
-      pass_info.num_components = 4;
-      pass_info.use_exposure = true;
-      pass_info.support_denoise = true;
-      /* Without shadow catcher approximation compositing is not needed.
-       * Since we don't know here whether approximation is used or not, leave the decision up to
-       * the caller which will know that. */
-      break;
-
-    case PASS_ADAPTIVE_AUX_BUFFER:
-      pass_info.num_components = 4;
-      break;
-    case PASS_SAMPLE_COUNT:
-      pass_info.num_components = 1;
-      pass_info.use_exposure = false;
-      break;
-
-    case PASS_AOV_COLOR:
-      pass_info.num_components = 3;
-      break;
-    case PASS_AOV_VALUE:
-      pass_info.num_components = 1;
-      break;
-
-    case PASS_BAKE_PRIMITIVE:
-    case PASS_BAKE_DIFFERENTIAL:
-      pass_info.num_components = 4;
-      pass_info.use_exposure = false;
-      pass_info.use_filter = false;
-      break;
-
-    case PASS_CATEGORY_LIGHT_END:
-    case PASS_CATEGORY_DATA_END:
-    case PASS_CATEGORY_BAKE_END:
-    case PASS_NUM:
-      LOG(DFATAL) << "Unexpected pass type is used " << type;
-      pass_info.num_components = 0;
-      break;
-  }
-
-  return pass_info;
-}
-
-bool Pass::contains(const vector<Pass *> &passes, PassType type)
-{
-  for (const Pass *pass : passes) {
-    if (pass->get_type() != type) {
-      continue;
-    }
-
-    return true;
-  }
-
-  return false;
-}
-
-const Pass *Pass::find(const vector<Pass *> &passes, const string &name)
-{
-  for (const Pass *pass : passes) {
-    if (pass->get_name() == name) {
-      return pass;
-    }
-  }
-
-  return nullptr;
-}
-
-const Pass *Pass::find(const vector<Pass *> &passes, PassType type, PassMode mode)
-{
-  for (const Pass *pass : passes) {
-    if (pass->get_type() != type || pass->get_mode() != mode) {
-      continue;
-    }
-
-    return pass;
-  }
-
-  return nullptr;
-}
-
-int Pass::get_offset(const vector<Pass *> &passes, const Pass *pass)
-{
-  int pass_offset = 0;
-
-  for (const Pass *current_pass : passes) {
-    /* Note that pass name is allowed to be empty. This is why we check for type and mode. */
-    if (current_pass->get_type() == pass->get_type() &&
-        current_pass->get_mode() == pass->get_mode() &&
-        current_pass->get_name() == pass->get_name()) {
-      if (current_pass->is_written()) {
-        return pass_offset;
-      }
-      else {
-        return PASS_UNUSED;
-      }
-    }
-    if (current_pass->is_written()) {
-      pass_offset += current_pass->get_info().num_components;
-    }
-  }
-
-  return PASS_UNUSED;
-}
-
-std::ostream &operator<<(std::ostream &os, const Pass &pass)
-{
-  os << "type: " << pass_type_as_string(pass.get_type());
-  os << ", name: \"" << pass.get_name() << "\"";
-  os << ", mode: " << pass.get_mode();
-  os << ", is_written: " << string_from_bool(pass.is_written());
-
-  return os;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/pass.h b/intern/cycles/render/pass.h
deleted file mode 100644
index 82230c62cb0..00000000000
--- a/intern/cycles/render/pass.h
+++ /dev/null
@@ -1,106 +0,0 @@
-/*
- * Copyright 2011-2021 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include <ostream>  // NOLINT
-
-#include "util/util_string.h"
-#include "util/util_vector.h"
-
-#include "kernel/kernel_types.h"
-
-#include "graph/node.h"
-
-CCL_NAMESPACE_BEGIN
-
-const char *pass_type_as_string(const PassType type);
-
-enum class PassMode {
-  NOISY,
-  DENOISED,
-};
-const char *pass_mode_as_string(PassMode mode);
-std::ostream &operator<<(std::ostream &os, PassMode mode);
-
-struct PassInfo {
-  int num_components = -1;
-  bool use_filter = false;
-  bool use_exposure = false;
-  bool is_written = true;
-  PassType divide_type = PASS_NONE;
-  PassType direct_type = PASS_NONE;
-  PassType indirect_type = PASS_NONE;
-
-  /* Pass access for read can not happen directly and needs some sort of compositing (for example,
-   * light passes due to divide_type, or shadow catcher pass. */
-  bool use_compositing = false;
-
-  /* Used to disable albedo pass for denoising.
-   * Light and shadow catcher passes should not have discontinuity in the denoised result based on
-   * the underlying albedo. */
-  bool use_denoising_albedo = true;
-
-  /* Pass supports denoising. */
-  bool support_denoise = false;
-};
-
-class Pass : public Node {
- public:
-  NODE_DECLARE
-
-  NODE_SOCKET_API(PassType, type)
-  NODE_SOCKET_API(PassMode, mode)
-  NODE_SOCKET_API(ustring, name)
-  NODE_SOCKET_API(bool, include_albedo)
-
-  Pass();
-
-  PassInfo get_info() const;
-
-  /* The pass is written by the render pipeline (kernel or denoiser). If the pass is written it
-   * will have pixels allocated in a RenderBuffer. Passes which are not written do not have their
-   * pixels allocated to save memory. */
-  bool is_written() const;
-
- protected:
-  /* The has been created automatically as a requirement to various rendering functionality (such
-   * as adaptive sampling). */
-  bool is_auto_;
-
- public:
-  static const NodeEnum *get_type_enum();
-  static const NodeEnum *get_mode_enum();
-
-  static PassInfo get_info(PassType type, const bool include_albedo = false);
-
-  static bool contains(const vector<Pass *> &passes, PassType type);
-
-  /* Returns nullptr if there is no pass with the given name or type+mode. */
-  static const Pass *find(const vector<Pass *> &passes, const string &name);
-  static const Pass *find(const vector<Pass *> &passes,
-                          PassType type,
-                          PassMode mode = PassMode::NOISY);
-
-  /* Returns PASS_UNUSED if there is no corresponding pass. */
-  static int get_offset(const vector<Pass *> &passes, const Pass *pass);
-
-  friend class Film;
-};
-
-std::ostream &operator<<(std::ostream &os, const Pass &pass);
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/procedural.cpp b/intern/cycles/render/procedural.cpp
deleted file mode 100644
index 1307a35dcf2..00000000000
--- a/intern/cycles/render/procedural.cpp
+++ /dev/null
@@ -1,89 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "procedural.h"
-
-#include "render/scene.h"
-#include "render/stats.h"
-
-#include "util/util_foreach.h"
-#include "util/util_progress.h"
-
-CCL_NAMESPACE_BEGIN
-
-NODE_ABSTRACT_DEFINE(Procedural)
-{
-  NodeType *type = NodeType::add("procedural_base", NULL);
-  return type;
-}
-
-Procedural::Procedural(const NodeType *type) : Node(type)
-{
-}
-
-Procedural::~Procedural()
-{
-}
-
-ProceduralManager::ProceduralManager()
-{
-  need_update_ = true;
-}
-
-ProceduralManager::~ProceduralManager()
-{
-}
-
-void ProceduralManager::update(Scene *scene, Progress &progress)
-{
-  if (!need_update()) {
-    return;
-  }
-
-  progress.set_status("Updating Procedurals");
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->procedurals.times.add_entry({"update", time});
-    }
-  });
-
-  foreach (Procedural *procedural, scene->procedurals) {
-    if (progress.get_cancel()) {
-      return;
-    }
-
-    procedural->generate(scene, progress);
-  }
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  need_update_ = false;
-}
-
-void ProceduralManager::tag_update()
-{
-  need_update_ = true;
-}
-
-bool ProceduralManager::need_update() const
-{
-  return need_update_;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/procedural.h b/intern/cycles/render/procedural.h
deleted file mode 100644
index 985b8d69979..00000000000
--- a/intern/cycles/render/procedural.h
+++ /dev/null
@@ -1,73 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "graph/node.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Progress;
-class Scene;
-
-/* A Procedural is a Node which can create other Nodes before rendering starts.
- *
- * The Procedural is supposed to be the owner of any nodes that it creates. It can also create
- * Nodes directly in the Scene (through Scene.create_node), it should still be set as the owner of
- * those Nodes.
- */
-class Procedural : public Node, public NodeOwner {
- public:
-  NODE_ABSTRACT_DECLARE
-
-  explicit Procedural(const NodeType *type);
-  virtual ~Procedural();
-
-  /* Called each time the ProceduralManager is tagged for an update, this function is the entry
-   * point for the data generated by this Procedural. */
-  virtual void generate(Scene *scene, Progress &progress) = 0;
-
-  /* Create a node and set this Procedural as the owner. */
-  template<typename T> T *create_node()
-  {
-    T *node = new T();
-    node->set_owner(this);
-    return node;
-  }
-
-  /* Delete a Node created and owned by this Procedural. */
-  template<typename T> void delete_node(T *node)
-  {
-    assert(node->get_owner() == this);
-    delete node;
-  }
-};
-
-class ProceduralManager {
-  bool need_update_;
-
- public:
-  ProceduralManager();
-  ~ProceduralManager();
-
-  void update(Scene *scene, Progress &progress);
-
-  void tag_update();
-
-  bool need_update() const;
-};
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/scene.cpp b/intern/cycles/render/scene.cpp
deleted file mode 100644
index 20081677251..00000000000
--- a/intern/cycles/render/scene.cpp
+++ /dev/null
@@ -1,961 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include <stdlib.h>
-
-#include "bvh/bvh.h"
-#include "device/device.h"
-#include "render/alembic.h"
-#include "render/background.h"
-#include "render/bake.h"
-#include "render/camera.h"
-#include "render/curves.h"
-#include "render/film.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/osl.h"
-#include "render/particles.h"
-#include "render/procedural.h"
-#include "render/scene.h"
-#include "render/session.h"
-#include "render/shader.h"
-#include "render/svm.h"
-#include "render/tables.h"
-#include "render/volume.h"
-
-#include "util/util_foreach.h"
-#include "util/util_guarded_allocator.h"
-#include "util/util_logging.h"
-#include "util/util_progress.h"
-
-CCL_NAMESPACE_BEGIN
-
-DeviceScene::DeviceScene(Device *device)
-    : bvh_nodes(device, "__bvh_nodes", MEM_GLOBAL),
-      bvh_leaf_nodes(device, "__bvh_leaf_nodes", MEM_GLOBAL),
-      object_node(device, "__object_node", MEM_GLOBAL),
-      prim_type(device, "__prim_type", MEM_GLOBAL),
-      prim_visibility(device, "__prim_visibility", MEM_GLOBAL),
-      prim_index(device, "__prim_index", MEM_GLOBAL),
-      prim_object(device, "__prim_object", MEM_GLOBAL),
-      prim_time(device, "__prim_time", MEM_GLOBAL),
-      tri_verts(device, "__tri_verts", MEM_GLOBAL),
-      tri_shader(device, "__tri_shader", MEM_GLOBAL),
-      tri_vnormal(device, "__tri_vnormal", MEM_GLOBAL),
-      tri_vindex(device, "__tri_vindex", MEM_GLOBAL),
-      tri_patch(device, "__tri_patch", MEM_GLOBAL),
-      tri_patch_uv(device, "__tri_patch_uv", MEM_GLOBAL),
-      curves(device, "__curves", MEM_GLOBAL),
-      curve_keys(device, "__curve_keys", MEM_GLOBAL),
-      curve_segments(device, "__curve_segments", MEM_GLOBAL),
-      patches(device, "__patches", MEM_GLOBAL),
-      objects(device, "__objects", MEM_GLOBAL),
-      object_motion_pass(device, "__object_motion_pass", MEM_GLOBAL),
-      object_motion(device, "__object_motion", MEM_GLOBAL),
-      object_flag(device, "__object_flag", MEM_GLOBAL),
-      object_volume_step(device, "__object_volume_step", MEM_GLOBAL),
-      camera_motion(device, "__camera_motion", MEM_GLOBAL),
-      attributes_map(device, "__attributes_map", MEM_GLOBAL),
-      attributes_float(device, "__attributes_float", MEM_GLOBAL),
-      attributes_float2(device, "__attributes_float2", MEM_GLOBAL),
-      attributes_float3(device, "__attributes_float3", MEM_GLOBAL),
-      attributes_uchar4(device, "__attributes_uchar4", MEM_GLOBAL),
-      light_distribution(device, "__light_distribution", MEM_GLOBAL),
-      lights(device, "__lights", MEM_GLOBAL),
-      light_background_marginal_cdf(device, "__light_background_marginal_cdf", MEM_GLOBAL),
-      light_background_conditional_cdf(device, "__light_background_conditional_cdf", MEM_GLOBAL),
-      particles(device, "__particles", MEM_GLOBAL),
-      svm_nodes(device, "__svm_nodes", MEM_GLOBAL),
-      shaders(device, "__shaders", MEM_GLOBAL),
-      lookup_table(device, "__lookup_table", MEM_GLOBAL),
-      sample_pattern_lut(device, "__sample_pattern_lut", MEM_GLOBAL),
-      ies_lights(device, "__ies", MEM_GLOBAL)
-{
-  memset((void *)&data, 0, sizeof(data));
-}
-
-Scene::Scene(const SceneParams &params_, Device *device)
-    : name("Scene"),
-      bvh(NULL),
-      default_surface(NULL),
-      default_volume(NULL),
-      default_light(NULL),
-      default_background(NULL),
-      default_empty(NULL),
-      device(device),
-      dscene(device),
-      params(params_),
-      update_stats(NULL),
-      kernels_loaded(false),
-      /* TODO(sergey): Check if it's indeed optimal value for the split kernel. */
-      max_closure_global(1)
-{
-  memset((void *)&dscene.data, 0, sizeof(dscene.data));
-
-  /* OSL only works on the CPU */
-  if (device->info.has_osl)
-    shader_manager = ShaderManager::create(params.shadingsystem);
-  else
-    shader_manager = ShaderManager::create(SHADINGSYSTEM_SVM);
-
-  light_manager = new LightManager();
-  geometry_manager = new GeometryManager();
-  object_manager = new ObjectManager();
-  image_manager = new ImageManager(device->info);
-  particle_system_manager = new ParticleSystemManager();
-  bake_manager = new BakeManager();
-  procedural_manager = new ProceduralManager();
-
-  /* Create nodes after managers, since create_node() can tag the managers. */
-  camera = create_node<Camera>();
-  dicing_camera = create_node<Camera>();
-  lookup_tables = new LookupTables();
-  film = create_node<Film>();
-  background = create_node<Background>();
-  integrator = create_node<Integrator>();
-
-  film->add_default(this);
-  shader_manager->add_default(this);
-}
-
-Scene::~Scene()
-{
-  free_memory(true);
-}
-
-void Scene::free_memory(bool final)
-{
-  delete bvh;
-  bvh = NULL;
-
-  /* The order of deletion is important to make sure data is freed based on possible dependencies
-   * as the Nodes' reference counts are decremented in the destructors:
-   *
-   * - Procedurals can create and hold pointers to any other types.
-   * - Objects can hold pointers to Geometries and ParticleSystems
-   * - Lights and Geometries can hold pointers to Shaders.
-   *
-   * Similarly, we first delete all nodes and their associated device data, and then the managers
-   * and their associated device data.
-   */
-  foreach (Procedural *p, procedurals)
-    delete p;
-  foreach (Object *o, objects)
-    delete o;
-  foreach (Geometry *g, geometry)
-    delete g;
-  foreach (ParticleSystem *p, particle_systems)
-    delete p;
-  foreach (Light *l, lights)
-    delete l;
-  foreach (Pass *p, passes)
-    delete p;
-
-  geometry.clear();
-  objects.clear();
-  lights.clear();
-  particle_systems.clear();
-  procedurals.clear();
-  passes.clear();
-
-  if (device) {
-    camera->device_free(device, &dscene, this);
-    film->device_free(device, &dscene, this);
-    background->device_free(device, &dscene);
-    integrator->device_free(device, &dscene, true);
-  }
-
-  if (final) {
-    delete camera;
-    delete dicing_camera;
-    delete film;
-    delete background;
-    delete integrator;
-  }
-
-  /* Delete Shaders after every other nodes to ensure that we do not try to decrement the reference
-   * count on some dangling pointer. */
-  foreach (Shader *s, shaders)
-    delete s;
-
-  shaders.clear();
-
-  /* Now that all nodes have been deleted, we can safely delete managers and device data. */
-  if (device) {
-    object_manager->device_free(device, &dscene, true);
-    geometry_manager->device_free(device, &dscene, true);
-    shader_manager->device_free(device, &dscene, this);
-    light_manager->device_free(device, &dscene);
-
-    particle_system_manager->device_free(device, &dscene);
-
-    bake_manager->device_free(device, &dscene);
-
-    if (final)
-      image_manager->device_free(device);
-    else
-      image_manager->device_free_builtin(device);
-
-    lookup_tables->device_free(device, &dscene);
-  }
-
-  if (final) {
-    delete lookup_tables;
-    delete object_manager;
-    delete geometry_manager;
-    delete shader_manager;
-    delete light_manager;
-    delete particle_system_manager;
-    delete image_manager;
-    delete bake_manager;
-    delete update_stats;
-    delete procedural_manager;
-  }
-}
-
-void Scene::device_update(Device *device_, Progress &progress)
-{
-  if (!device)
-    device = device_;
-
-  bool print_stats = need_data_update();
-
-  if (update_stats) {
-    update_stats->clear();
-  }
-
-  scoped_callback_timer timer([this, print_stats](double time) {
-    if (update_stats) {
-      update_stats->scene.times.add_entry({"device_update", time});
-
-      if (print_stats) {
-        printf("Update statistics:\n%s\n", update_stats->full_report().c_str());
-      }
-    }
-  });
-
-  /* The order of updates is important, because there's dependencies between
-   * the different managers, using data computed by previous managers.
-   *
-   * - Image manager uploads images used by shaders.
-   * - Camera may be used for adaptive subdivision.
-   * - Displacement shader must have all shader data available.
-   * - Light manager needs lookup tables and final mesh data to compute emission CDF.
-   * - Lookup tables are done a second time to handle film tables
-   */
-
-  progress.set_status("Updating Shaders");
-  shader_manager->device_update(device, &dscene, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  procedural_manager->update(this, progress);
-
-  if (progress.get_cancel())
-    return;
-
-  progress.set_status("Updating Background");
-  background->device_update(device, &dscene, this);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Camera");
-  camera->device_update(device, &dscene, this);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  geometry_manager->device_update_preprocess(device, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Objects");
-  object_manager->device_update(device, &dscene, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Particle Systems");
-  particle_system_manager->device_update(device, &dscene, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Meshes");
-  geometry_manager->device_update(device, &dscene, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Objects Flags");
-  object_manager->device_update_flags(device, &dscene, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Images");
-  image_manager->device_update(device, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Camera Volume");
-  camera->device_update_volume(device, &dscene, this);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Lookup Tables");
-  lookup_tables->device_update(device, &dscene, this);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Lights");
-  light_manager->device_update(device, &dscene, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Integrator");
-  integrator->device_update(device, &dscene, this);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Film");
-  film->device_update(device, &dscene, this);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Lookup Tables");
-  lookup_tables->device_update(device, &dscene, this);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  progress.set_status("Updating Baking");
-  bake_manager->device_update(device, &dscene, this, progress);
-
-  if (progress.get_cancel() || device->have_error())
-    return;
-
-  if (device->have_error() == false) {
-    dscene.data.volume_stack_size = get_volume_stack_size();
-
-    progress.set_status("Updating Device", "Writing constant memory");
-    device->const_copy_to("__data", &dscene.data, sizeof(dscene.data));
-  }
-
-  if (print_stats) {
-    size_t mem_used = util_guarded_get_mem_used();
-    size_t mem_peak = util_guarded_get_mem_peak();
-
-    VLOG(1) << "System memory statistics after full device sync:\n"
-            << "  Usage: " << string_human_readable_number(mem_used) << " ("
-            << string_human_readable_size(mem_used) << ")\n"
-            << "  Peak: " << string_human_readable_number(mem_peak) << " ("
-            << string_human_readable_size(mem_peak) << ")";
-  }
-}
-
-Scene::MotionType Scene::need_motion()
-{
-  if (integrator->get_motion_blur())
-    return MOTION_BLUR;
-  else if (Pass::contains(passes, PASS_MOTION))
-    return MOTION_PASS;
-  else
-    return MOTION_NONE;
-}
-
-float Scene::motion_shutter_time()
-{
-  if (need_motion() == Scene::MOTION_PASS)
-    return 2.0f;
-  else
-    return camera->get_shuttertime();
-}
-
-bool Scene::need_global_attribute(AttributeStandard std)
-{
-  if (std == ATTR_STD_UV)
-    return Pass::contains(passes, PASS_UV);
-  else if (std == ATTR_STD_MOTION_VERTEX_POSITION)
-    return need_motion() != MOTION_NONE;
-  else if (std == ATTR_STD_MOTION_VERTEX_NORMAL)
-    return need_motion() == MOTION_BLUR;
-
-  return false;
-}
-
-void Scene::need_global_attributes(AttributeRequestSet &attributes)
-{
-  for (int std = ATTR_STD_NONE; std < ATTR_STD_NUM; std++)
-    if (need_global_attribute((AttributeStandard)std))
-      attributes.add((AttributeStandard)std);
-}
-
-bool Scene::need_update()
-{
-  return (need_reset() || film->is_modified());
-}
-
-bool Scene::need_data_update()
-{
-  return (background->is_modified() || image_manager->need_update() ||
-          object_manager->need_update() || geometry_manager->need_update() ||
-          light_manager->need_update() || lookup_tables->need_update() ||
-          integrator->is_modified() || shader_manager->need_update() ||
-          particle_system_manager->need_update() || bake_manager->need_update() ||
-          film->is_modified() || procedural_manager->need_update());
-}
-
-bool Scene::need_reset()
-{
-  return need_data_update() || camera->is_modified();
-}
-
-void Scene::reset()
-{
-  shader_manager->reset(this);
-  shader_manager->add_default(this);
-
-  /* ensure all objects are updated */
-  camera->tag_modified();
-  dicing_camera->tag_modified();
-  film->tag_modified();
-  background->tag_modified();
-
-  background->tag_update(this);
-  integrator->tag_update(this, Integrator::UPDATE_ALL);
-  object_manager->tag_update(this, ObjectManager::UPDATE_ALL);
-  geometry_manager->tag_update(this, GeometryManager::UPDATE_ALL);
-  light_manager->tag_update(this, LightManager::UPDATE_ALL);
-  particle_system_manager->tag_update(this);
-  procedural_manager->tag_update();
-}
-
-void Scene::device_free()
-{
-  free_memory(false);
-}
-
-void Scene::collect_statistics(RenderStats *stats)
-{
-  geometry_manager->collect_statistics(this, stats);
-  image_manager->collect_statistics(stats);
-}
-
-void Scene::enable_update_stats()
-{
-  if (!update_stats) {
-    update_stats = new SceneUpdateStats();
-  }
-}
-
-void Scene::update_kernel_features()
-{
-  if (!need_update()) {
-    return;
-  }
-
-  /* These features are not being tweaked as often as shaders,
-   * so could be done selective magic for the viewport as well. */
-  uint kernel_features = shader_manager->get_kernel_features(this);
-
-  bool use_motion = need_motion() == Scene::MotionType::MOTION_BLUR;
-  kernel_features |= KERNEL_FEATURE_PATH_TRACING;
-  if (params.hair_shape == CURVE_THICK) {
-    kernel_features |= KERNEL_FEATURE_HAIR_THICK;
-  }
-  if (use_motion && camera->use_motion()) {
-    kernel_features |= KERNEL_FEATURE_CAMERA_MOTION;
-  }
-  foreach (Object *object, objects) {
-    Geometry *geom = object->get_geometry();
-    if (use_motion) {
-      if (object->use_motion() || geom->get_use_motion_blur()) {
-        kernel_features |= KERNEL_FEATURE_OBJECT_MOTION;
-      }
-      if (geom->get_use_motion_blur()) {
-        kernel_features |= KERNEL_FEATURE_CAMERA_MOTION;
-      }
-    }
-    if (object->get_is_shadow_catcher()) {
-      kernel_features |= KERNEL_FEATURE_SHADOW_CATCHER;
-    }
-    if (geom->is_mesh()) {
-      Mesh *mesh = static_cast<Mesh *>(geom);
-#ifdef WITH_OPENSUBDIV
-      if (mesh->get_subdivision_type() != Mesh::SUBDIVISION_NONE) {
-        kernel_features |= KERNEL_FEATURE_PATCH_EVALUATION;
-      }
-#endif
-    }
-    else if (geom->is_hair()) {
-      kernel_features |= KERNEL_FEATURE_HAIR;
-    }
-  }
-
-  if (bake_manager->get_baking()) {
-    kernel_features |= KERNEL_FEATURE_BAKING;
-  }
-
-  kernel_features |= film->get_kernel_features(this);
-  kernel_features |= integrator->get_kernel_features();
-
-  dscene.data.kernel_features = kernel_features;
-
-  /* Currently viewport render is faster with higher max_closures, needs investigating. */
-  const uint max_closures = (params.background) ? get_max_closure_count() : MAX_CLOSURE;
-  dscene.data.max_closures = max_closures;
-  dscene.data.max_shaders = shaders.size();
-}
-
-bool Scene::update(Progress &progress)
-{
-  if (!need_update()) {
-    return false;
-  }
-
-  /* Load render kernels, before device update where we upload data to the GPU. */
-  load_kernels(progress, false);
-
-  /* Upload scene data to the GPU. */
-  progress.set_status("Updating Scene");
-  MEM_GUARDED_CALL(&progress, device_update, device, progress);
-
-  return true;
-}
-
-static void log_kernel_features(const uint features)
-{
-  VLOG(2) << "Requested features:\n";
-  VLOG(2) << "Use BSDF " << string_from_bool(features & KERNEL_FEATURE_NODE_BSDF) << "\n";
-  VLOG(2) << "Use Principled BSDF " << string_from_bool(features & KERNEL_FEATURE_PRINCIPLED)
-          << "\n";
-  VLOG(2) << "Use Emission " << string_from_bool(features & KERNEL_FEATURE_NODE_EMISSION) << "\n";
-  VLOG(2) << "Use Volume " << string_from_bool(features & KERNEL_FEATURE_NODE_VOLUME) << "\n";
-  VLOG(2) << "Use Hair " << string_from_bool(features & KERNEL_FEATURE_NODE_HAIR) << "\n";
-  VLOG(2) << "Use Bump " << string_from_bool(features & KERNEL_FEATURE_NODE_BUMP) << "\n";
-  VLOG(2) << "Use Voronoi " << string_from_bool(features & KERNEL_FEATURE_NODE_VORONOI_EXTRA)
-          << "\n";
-  VLOG(2) << "Use Shader Raytrace " << string_from_bool(features & KERNEL_FEATURE_NODE_RAYTRACE)
-          << "\n";
-  VLOG(2) << "Use Transparent " << string_from_bool(features & KERNEL_FEATURE_TRANSPARENT) << "\n";
-  VLOG(2) << "Use Denoising " << string_from_bool(features & KERNEL_FEATURE_DENOISING) << "\n";
-  VLOG(2) << "Use Path Tracing " << string_from_bool(features & KERNEL_FEATURE_PATH_TRACING)
-          << "\n";
-  VLOG(2) << "Use Hair " << string_from_bool(features & KERNEL_FEATURE_HAIR) << "\n";
-  VLOG(2) << "Use Object Motion " << string_from_bool(features & KERNEL_FEATURE_OBJECT_MOTION)
-          << "\n";
-  VLOG(2) << "Use Camera Motion " << string_from_bool(features & KERNEL_FEATURE_CAMERA_MOTION)
-          << "\n";
-  VLOG(2) << "Use Baking " << string_from_bool(features & KERNEL_FEATURE_BAKING) << "\n";
-  VLOG(2) << "Use Subsurface " << string_from_bool(features & KERNEL_FEATURE_SUBSURFACE) << "\n";
-  VLOG(2) << "Use Volume " << string_from_bool(features & KERNEL_FEATURE_VOLUME) << "\n";
-  VLOG(2) << "Use Patch Evaluation "
-          << string_from_bool(features & KERNEL_FEATURE_PATCH_EVALUATION) << "\n";
-  VLOG(2) << "Use Shadow Catcher " << string_from_bool(features & KERNEL_FEATURE_SHADOW_CATCHER)
-          << "\n";
-}
-
-bool Scene::load_kernels(Progress &progress, bool lock_scene)
-{
-  thread_scoped_lock scene_lock;
-  if (lock_scene) {
-    scene_lock = thread_scoped_lock(mutex);
-  }
-
-  update_kernel_features();
-
-  const uint kernel_features = dscene.data.kernel_features;
-
-  if (!kernels_loaded || loaded_kernel_features != kernel_features) {
-    progress.set_status("Loading render kernels (may take a few minutes the first time)");
-
-    scoped_timer timer;
-
-    log_kernel_features(kernel_features);
-    if (!device->load_kernels(kernel_features)) {
-      string message = device->error_message();
-      if (message.empty())
-        message = "Failed loading render kernel, see console for errors";
-
-      progress.set_error(message);
-      progress.set_status(message);
-      progress.set_update();
-      return false;
-    }
-
-    kernels_loaded = true;
-    loaded_kernel_features = kernel_features;
-    return true;
-  }
-  return false;
-}
-
-int Scene::get_max_closure_count()
-{
-  if (shader_manager->use_osl()) {
-    /* OSL always needs the maximum as we can't predict the
-     * number of closures a shader might generate. */
-    return MAX_CLOSURE;
-  }
-
-  int max_closures = 0;
-  for (int i = 0; i < shaders.size(); i++) {
-    Shader *shader = shaders[i];
-    if (shader->reference_count()) {
-      int num_closures = shader->graph->get_num_closures();
-      max_closures = max(max_closures, num_closures);
-    }
-  }
-  max_closure_global = max(max_closure_global, max_closures);
-
-  if (max_closure_global > MAX_CLOSURE) {
-    /* This is usually harmless as more complex shader tend to get many
-     * closures discarded due to mixing or low weights. We need to limit
-     * to MAX_CLOSURE as this is hardcoded in CPU/mega kernels, and it
-     * avoids excessive memory usage for split kernels. */
-    VLOG(2) << "Maximum number of closures exceeded: " << max_closure_global << " > "
-            << MAX_CLOSURE;
-
-    max_closure_global = MAX_CLOSURE;
-  }
-
-  return max_closure_global;
-}
-
-int Scene::get_volume_stack_size() const
-{
-  int volume_stack_size = 0;
-
-  /* Space for background volume and terminator.
-   * Don't do optional here because camera ray initialization expects that there is space for
-   * at least those elements (avoiding extra condition to check if there is actual volume or not).
-   */
-  volume_stack_size += 2;
-
-  /* Quick non-expensive check. Can over-estimate maximum possible nested level, but does not
-   * require expensive calculation during pre-processing. */
-  bool has_volume_object = false;
-  for (const Object *object : objects) {
-    if (!object->get_geometry()->has_volume) {
-      continue;
-    }
-
-    if (object->intersects_volume) {
-      /* Object intersects another volume, assume it's possible to go deeper in the stack. */
-      /* TODO(sergey): This might count nesting twice (A intersects B and B intersects A), but
-       * can't think of a computationally cheap algorithm. Dividing my 2 doesn't work because of
-       * Venn diagram example with 3 circles. */
-      ++volume_stack_size;
-    }
-    else if (!has_volume_object) {
-      /* Allocate space for at least one volume object. */
-      ++volume_stack_size;
-    }
-
-    has_volume_object = true;
-
-    if (volume_stack_size == MAX_VOLUME_STACK_SIZE) {
-      break;
-    }
-  }
-
-  volume_stack_size = min(volume_stack_size, MAX_VOLUME_STACK_SIZE);
-
-  VLOG(3) << "Detected required volume stack size " << volume_stack_size;
-
-  return volume_stack_size;
-}
-
-bool Scene::has_shadow_catcher()
-{
-  if (shadow_catcher_modified_) {
-    has_shadow_catcher_ = false;
-    for (Object *object : objects) {
-      if (object->get_is_shadow_catcher()) {
-        has_shadow_catcher_ = true;
-        break;
-      }
-    }
-
-    shadow_catcher_modified_ = false;
-  }
-
-  return has_shadow_catcher_;
-}
-
-void Scene::tag_shadow_catcher_modified()
-{
-  shadow_catcher_modified_ = true;
-}
-
-template<> Light *Scene::create_node<Light>()
-{
-  Light *node = new Light();
-  node->set_owner(this);
-  lights.push_back(node);
-  light_manager->tag_update(this, LightManager::LIGHT_ADDED);
-  return node;
-}
-
-template<> Mesh *Scene::create_node<Mesh>()
-{
-  Mesh *node = new Mesh();
-  node->set_owner(this);
-  geometry.push_back(node);
-  geometry_manager->tag_update(this, GeometryManager::MESH_ADDED);
-  return node;
-}
-
-template<> Hair *Scene::create_node<Hair>()
-{
-  Hair *node = new Hair();
-  node->set_owner(this);
-  geometry.push_back(node);
-  geometry_manager->tag_update(this, GeometryManager::HAIR_ADDED);
-  return node;
-}
-
-template<> Volume *Scene::create_node<Volume>()
-{
-  Volume *node = new Volume();
-  node->set_owner(this);
-  geometry.push_back(node);
-  geometry_manager->tag_update(this, GeometryManager::MESH_ADDED);
-  return node;
-}
-
-template<> Object *Scene::create_node<Object>()
-{
-  Object *node = new Object();
-  node->set_owner(this);
-  objects.push_back(node);
-  object_manager->tag_update(this, ObjectManager::OBJECT_ADDED);
-  return node;
-}
-
-template<> ParticleSystem *Scene::create_node<ParticleSystem>()
-{
-  ParticleSystem *node = new ParticleSystem();
-  node->set_owner(this);
-  particle_systems.push_back(node);
-  particle_system_manager->tag_update(this);
-  return node;
-}
-
-template<> Shader *Scene::create_node<Shader>()
-{
-  Shader *node = new Shader();
-  node->set_owner(this);
-  shaders.push_back(node);
-  shader_manager->tag_update(this, ShaderManager::SHADER_ADDED);
-  return node;
-}
-
-template<> AlembicProcedural *Scene::create_node<AlembicProcedural>()
-{
-#ifdef WITH_ALEMBIC
-  AlembicProcedural *node = new AlembicProcedural();
-  node->set_owner(this);
-  procedurals.push_back(node);
-  procedural_manager->tag_update();
-  return node;
-#else
-  return nullptr;
-#endif
-}
-
-template<> Pass *Scene::create_node<Pass>()
-{
-  Pass *node = new Pass();
-  node->set_owner(this);
-  passes.push_back(node);
-  film->tag_modified();
-  return node;
-}
-
-template<typename T> void delete_node_from_array(vector<T> &nodes, T node)
-{
-  for (size_t i = 0; i < nodes.size(); ++i) {
-    if (nodes[i] == node) {
-      std::swap(nodes[i], nodes[nodes.size() - 1]);
-      break;
-    }
-  }
-
-  nodes.resize(nodes.size() - 1);
-
-  delete node;
-}
-
-template<> void Scene::delete_node_impl(Light *node)
-{
-  delete_node_from_array(lights, node);
-  light_manager->tag_update(this, LightManager::LIGHT_REMOVED);
-}
-
-template<> void Scene::delete_node_impl(Mesh *node)
-{
-  delete_node_from_array(geometry, static_cast<Geometry *>(node));
-  geometry_manager->tag_update(this, GeometryManager::MESH_REMOVED);
-}
-
-template<> void Scene::delete_node_impl(Hair *node)
-{
-  delete_node_from_array(geometry, static_cast<Geometry *>(node));
-  geometry_manager->tag_update(this, GeometryManager::HAIR_REMOVED);
-}
-
-template<> void Scene::delete_node_impl(Volume *node)
-{
-  delete_node_from_array(geometry, static_cast<Geometry *>(node));
-  geometry_manager->tag_update(this, GeometryManager::MESH_REMOVED);
-}
-
-template<> void Scene::delete_node_impl(Geometry *node)
-{
-  uint flag;
-  if (node->is_hair()) {
-    flag = GeometryManager::HAIR_REMOVED;
-  }
-  else {
-    flag = GeometryManager::MESH_REMOVED;
-  }
-
-  delete_node_from_array(geometry, node);
-  geometry_manager->tag_update(this, flag);
-}
-
-template<> void Scene::delete_node_impl(Object *node)
-{
-  delete_node_from_array(objects, node);
-  object_manager->tag_update(this, ObjectManager::OBJECT_REMOVED);
-}
-
-template<> void Scene::delete_node_impl(ParticleSystem *node)
-{
-  delete_node_from_array(particle_systems, node);
-  particle_system_manager->tag_update(this);
-}
-
-template<> void Scene::delete_node_impl(Shader *shader)
-{
-  /* don't delete unused shaders, not supported */
-  shader->clear_reference_count();
-}
-
-template<> void Scene::delete_node_impl(Procedural *node)
-{
-  delete_node_from_array(procedurals, node);
-  procedural_manager->tag_update();
-}
-
-template<> void Scene::delete_node_impl(AlembicProcedural *node)
-{
-#ifdef WITH_ALEMBIC
-  delete_node_impl(static_cast<Procedural *>(node));
-#else
-  (void)node;
-#endif
-}
-
-template<> void Scene::delete_node_impl(Pass *node)
-{
-  delete_node_from_array(passes, node);
-  film->tag_modified();
-}
-
-template<typename T>
-static void remove_nodes_in_set(const set<T *> &nodes_set,
-                                vector<T *> &nodes_array,
-                                const NodeOwner *owner)
-{
-  size_t new_size = nodes_array.size();
-
-  for (size_t i = 0; i < new_size; ++i) {
-    T *node = nodes_array[i];
-
-    if (nodes_set.find(node) != nodes_set.end()) {
-      std::swap(nodes_array[i], nodes_array[new_size - 1]);
-
-      assert(node->get_owner() == owner);
-      delete node;
-
-      i -= 1;
-      new_size -= 1;
-    }
-  }
-
-  nodes_array.resize(new_size);
-  (void)owner;
-}
-
-template<> void Scene::delete_nodes(const set<Light *> &nodes, const NodeOwner *owner)
-{
-  remove_nodes_in_set(nodes, lights, owner);
-  light_manager->tag_update(this, LightManager::LIGHT_REMOVED);
-}
-
-template<> void Scene::delete_nodes(const set<Geometry *> &nodes, const NodeOwner *owner)
-{
-  remove_nodes_in_set(nodes, geometry, owner);
-  geometry_manager->tag_update(this, GeometryManager::GEOMETRY_REMOVED);
-}
-
-template<> void Scene::delete_nodes(const set<Object *> &nodes, const NodeOwner *owner)
-{
-  remove_nodes_in_set(nodes, objects, owner);
-  object_manager->tag_update(this, ObjectManager::OBJECT_REMOVED);
-}
-
-template<> void Scene::delete_nodes(const set<ParticleSystem *> &nodes, const NodeOwner *owner)
-{
-  remove_nodes_in_set(nodes, particle_systems, owner);
-  particle_system_manager->tag_update(this);
-}
-
-template<> void Scene::delete_nodes(const set<Shader *> &nodes, const NodeOwner * /*owner*/)
-{
-  /* don't delete unused shaders, not supported */
-  for (Shader *shader : nodes) {
-    shader->clear_reference_count();
-  }
-}
-
-template<> void Scene::delete_nodes(const set<Procedural *> &nodes, const NodeOwner *owner)
-{
-  remove_nodes_in_set(nodes, procedurals, owner);
-  procedural_manager->tag_update();
-}
-
-template<> void Scene::delete_nodes(const set<Pass *> &nodes, const NodeOwner *owner)
-{
-  remove_nodes_in_set(nodes, passes, owner);
-  film->tag_modified();
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/scene.h b/intern/cycles/render/scene.h
deleted file mode 100644
index de7e3c8a99f..00000000000
--- a/intern/cycles/render/scene.h
+++ /dev/null
@@ -1,412 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __SCENE_H__
-#define __SCENE_H__
-
-#include "bvh/bvh_params.h"
-
-#include "render/film.h"
-#include "render/image.h"
-#include "render/shader.h"
-
-#include "device/device.h"
-#include "device/device_memory.h"
-
-#include "util/util_param.h"
-#include "util/util_string.h"
-#include "util/util_system.h"
-#include "util/util_texture.h"
-#include "util/util_thread.h"
-#include "util/util_types.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class AlembicProcedural;
-class AttributeRequestSet;
-class Background;
-class BVH;
-class Camera;
-class Device;
-class DeviceInfo;
-class Film;
-class Integrator;
-class Light;
-class LightManager;
-class LookupTables;
-class Geometry;
-class GeometryManager;
-class Object;
-class ObjectManager;
-class ParticleSystemManager;
-class ParticleSystem;
-class Procedural;
-class ProceduralManager;
-class CurveSystemManager;
-class Shader;
-class ShaderManager;
-class Progress;
-class BakeManager;
-class BakeData;
-class RenderStats;
-class SceneUpdateStats;
-class Volume;
-
-/* Scene Device Data */
-
-class DeviceScene {
- public:
-  /* BVH */
-  device_vector<int4> bvh_nodes;
-  device_vector<int4> bvh_leaf_nodes;
-  device_vector<int> object_node;
-  device_vector<int> prim_type;
-  device_vector<uint> prim_visibility;
-  device_vector<int> prim_index;
-  device_vector<int> prim_object;
-  device_vector<float2> prim_time;
-
-  /* mesh */
-  device_vector<float4> tri_verts;
-  device_vector<uint> tri_shader;
-  device_vector<float4> tri_vnormal;
-  device_vector<uint4> tri_vindex;
-  device_vector<uint> tri_patch;
-  device_vector<float2> tri_patch_uv;
-
-  device_vector<KernelCurve> curves;
-  device_vector<float4> curve_keys;
-  device_vector<KernelCurveSegment> curve_segments;
-
-  device_vector<uint> patches;
-
-  /* objects */
-  device_vector<KernelObject> objects;
-  device_vector<Transform> object_motion_pass;
-  device_vector<DecomposedTransform> object_motion;
-  device_vector<uint> object_flag;
-  device_vector<float> object_volume_step;
-
-  /* cameras */
-  device_vector<DecomposedTransform> camera_motion;
-
-  /* attributes */
-  device_vector<uint4> attributes_map;
-  device_vector<float> attributes_float;
-  device_vector<float2> attributes_float2;
-  device_vector<float4> attributes_float3;
-  device_vector<uchar4> attributes_uchar4;
-
-  /* lights */
-  device_vector<KernelLightDistribution> light_distribution;
-  device_vector<KernelLight> lights;
-  device_vector<float2> light_background_marginal_cdf;
-  device_vector<float2> light_background_conditional_cdf;
-
-  /* particles */
-  device_vector<KernelParticle> particles;
-
-  /* shaders */
-  device_vector<int4> svm_nodes;
-  device_vector<KernelShader> shaders;
-
-  /* lookup tables */
-  device_vector<float> lookup_table;
-
-  /* integrator */
-  device_vector<float> sample_pattern_lut;
-
-  /* ies lights */
-  device_vector<float> ies_lights;
-
-  KernelData data;
-
-  DeviceScene(Device *device);
-};
-
-/* Scene Parameters */
-
-class SceneParams {
- public:
-  ShadingSystem shadingsystem;
-
-  /* Requested BVH layout.
-   *
-   * If it's not supported by the device, the widest one from supported ones
-   * will be used, but BVH wider than this one will never be used.
-   */
-  BVHLayout bvh_layout;
-
-  BVHType bvh_type;
-  bool use_bvh_spatial_split;
-  bool use_bvh_unaligned_nodes;
-  int num_bvh_time_steps;
-  int hair_subdivisions;
-  CurveShapeType hair_shape;
-  int texture_limit;
-
-  bool background;
-
-  SceneParams()
-  {
-    shadingsystem = SHADINGSYSTEM_SVM;
-    bvh_layout = BVH_LAYOUT_BVH2;
-    bvh_type = BVH_TYPE_DYNAMIC;
-    use_bvh_spatial_split = false;
-    use_bvh_unaligned_nodes = true;
-    num_bvh_time_steps = 0;
-    hair_subdivisions = 3;
-    hair_shape = CURVE_RIBBON;
-    texture_limit = 0;
-    background = true;
-  }
-
-  bool modified(const SceneParams &params) const
-  {
-    return !(shadingsystem == params.shadingsystem && bvh_layout == params.bvh_layout &&
-             bvh_type == params.bvh_type &&
-             use_bvh_spatial_split == params.use_bvh_spatial_split &&
-             use_bvh_unaligned_nodes == params.use_bvh_unaligned_nodes &&
-             num_bvh_time_steps == params.num_bvh_time_steps &&
-             hair_subdivisions == params.hair_subdivisions && hair_shape == params.hair_shape &&
-             texture_limit == params.texture_limit);
-  }
-
-  int curve_subdivisions()
-  {
-    /* Matching the tessellation rate limit in Embree. */
-    return clamp(1 << hair_subdivisions, 1, 16);
-  }
-};
-
-/* Scene */
-
-class Scene : public NodeOwner {
- public:
-  /* Optional name. Is used for logging and reporting. */
-  string name;
-
-  /* data */
-  BVH *bvh;
-  Camera *camera;
-  Camera *dicing_camera;
-  LookupTables *lookup_tables;
-  Film *film;
-  Background *background;
-  Integrator *integrator;
-
-  /* data lists */
-  vector<Object *> objects;
-  vector<Geometry *> geometry;
-  vector<Shader *> shaders;
-  vector<Light *> lights;
-  vector<ParticleSystem *> particle_systems;
-  vector<Pass *> passes;
-  vector<Procedural *> procedurals;
-
-  /* data managers */
-  ImageManager *image_manager;
-  LightManager *light_manager;
-  ShaderManager *shader_manager;
-  GeometryManager *geometry_manager;
-  ObjectManager *object_manager;
-  ParticleSystemManager *particle_system_manager;
-  BakeManager *bake_manager;
-  ProceduralManager *procedural_manager;
-
-  /* default shaders */
-  Shader *default_surface;
-  Shader *default_volume;
-  Shader *default_light;
-  Shader *default_background;
-  Shader *default_empty;
-
-  /* device */
-  Device *device;
-  DeviceScene dscene;
-
-  /* parameters */
-  SceneParams params;
-
-  /* mutex must be locked manually by callers */
-  thread_mutex mutex;
-
-  /* scene update statistics */
-  SceneUpdateStats *update_stats;
-
-  Scene(const SceneParams &params, Device *device);
-  ~Scene();
-
-  void device_update(Device *device, Progress &progress);
-
-  bool need_global_attribute(AttributeStandard std);
-  void need_global_attributes(AttributeRequestSet &attributes);
-
-  enum MotionType { MOTION_NONE = 0, MOTION_PASS, MOTION_BLUR };
-  MotionType need_motion();
-  float motion_shutter_time();
-
-  bool need_update();
-  bool need_reset();
-
-  void reset();
-  void device_free();
-
-  void collect_statistics(RenderStats *stats);
-
-  void enable_update_stats();
-
-  bool update(Progress &progress);
-
-  bool has_shadow_catcher();
-  void tag_shadow_catcher_modified();
-
-  /* This function is used to create a node of a specified type instead of
-   * calling 'new', and sets the scene as the owner of the node.
-   * The function has overloads that will also add the created node to the right
-   * node array (e.g. Scene::geometry for Geometry nodes) and tag the appropriate
-   * manager for an update.
-   */
-  template<typename T, typename... Args> T *create_node(Args &&...args)
-  {
-    T *node = new T(args...);
-    node->set_owner(this);
-    return node;
-  }
-
-  /* This function is used to delete a node from the scene instead of calling 'delete'
-   * and manually removing the node from the data array. It also tags the
-   * appropriate manager for an update, if any, and checks that the scene is indeed
-   * the owner of the node. Calling this function on a node not owned by the scene
-   * will likely cause a crash which we want in order to detect such cases.
-   */
-  template<typename T> void delete_node(T *node)
-  {
-    assert(node->get_owner() == this);
-    delete_node_impl(node);
-  }
-
-  /* Same as above, but specify the actual owner.
-   */
-  template<typename T> void delete_node(T *node, const NodeOwner *owner)
-  {
-    assert(node->get_owner() == owner);
-    delete_node_impl(node);
-    (void)owner;
-  }
-
-  /* Remove all nodes in the set from the appropriate data arrays, and tag the
-   * specific managers for an update. This assumes that the scene owns the nodes.
-   */
-  template<typename T> void delete_nodes(const set<T *> &nodes)
-  {
-    delete_nodes(nodes, this);
-  }
-
-  /* Same as above, but specify the actual owner of all the nodes in the set.
-   */
-  template<typename T> void delete_nodes(const set<T *> &nodes, const NodeOwner *owner);
-
- protected:
-  /* Check if some heavy data worth logging was updated.
-   * Mainly used to suppress extra annoying logging.
-   */
-  bool need_data_update();
-
-  void free_memory(bool final);
-
-  bool kernels_loaded;
-  uint loaded_kernel_features;
-
-  void update_kernel_features();
-  bool load_kernels(Progress &progress, bool lock_scene = true);
-
-  bool has_shadow_catcher_ = false;
-  bool shadow_catcher_modified_ = true;
-
-  /* Maximum number of closure during session lifetime. */
-  int max_closure_global;
-
-  /* Get maximum number of closures to be used in kernel. */
-  int get_max_closure_count();
-
-  /* Get size of a volume stack needed to render this scene.  */
-  int get_volume_stack_size() const;
-
-  template<typename T> void delete_node_impl(T *node)
-  {
-    delete node;
-  }
-};
-
-template<> Light *Scene::create_node<Light>();
-
-template<> Mesh *Scene::create_node<Mesh>();
-
-template<> Object *Scene::create_node<Object>();
-
-template<> Hair *Scene::create_node<Hair>();
-
-template<> Volume *Scene::create_node<Volume>();
-
-template<> ParticleSystem *Scene::create_node<ParticleSystem>();
-
-template<> Shader *Scene::create_node<Shader>();
-
-template<> AlembicProcedural *Scene::create_node<AlembicProcedural>();
-
-template<> Pass *Scene::create_node<Pass>();
-
-template<> void Scene::delete_node_impl(Light *node);
-
-template<> void Scene::delete_node_impl(Mesh *node);
-
-template<> void Scene::delete_node_impl(Volume *node);
-
-template<> void Scene::delete_node_impl(Hair *node);
-
-template<> void Scene::delete_node_impl(Geometry *node);
-
-template<> void Scene::delete_node_impl(Object *node);
-
-template<> void Scene::delete_node_impl(ParticleSystem *node);
-
-template<> void Scene::delete_node_impl(Shader *node);
-
-template<> void Scene::delete_node_impl(Procedural *node);
-
-template<> void Scene::delete_node_impl(AlembicProcedural *node);
-
-template<> void Scene::delete_node_impl(Pass *node);
-
-template<> void Scene::delete_nodes(const set<Light *> &nodes, const NodeOwner *owner);
-
-template<> void Scene::delete_nodes(const set<Geometry *> &nodes, const NodeOwner *owner);
-
-template<> void Scene::delete_nodes(const set<Object *> &nodes, const NodeOwner *owner);
-
-template<> void Scene::delete_nodes(const set<ParticleSystem *> &nodes, const NodeOwner *owner);
-
-template<> void Scene::delete_nodes(const set<Shader *> &nodes, const NodeOwner *owner);
-
-template<> void Scene::delete_nodes(const set<Procedural *> &nodes, const NodeOwner *owner);
-
-template<> void Scene::delete_nodes(const set<Pass *> &nodes, const NodeOwner *owner);
-
-CCL_NAMESPACE_END
-
-#endif /*  __SCENE_H__ */
diff --git a/intern/cycles/render/session.cpp b/intern/cycles/render/session.cpp
deleted file mode 100644
index 7fba7ce7552..00000000000
--- a/intern/cycles/render/session.cpp
+++ /dev/null
@@ -1,624 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include <limits.h>
-#include <string.h>
-
-#include "device/cpu/device.h"
-#include "device/device.h"
-#include "integrator/pass_accessor_cpu.h"
-#include "integrator/path_trace.h"
-#include "render/background.h"
-#include "render/bake.h"
-#include "render/buffers.h"
-#include "render/camera.h"
-#include "render/display_driver.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/object.h"
-#include "render/output_driver.h"
-#include "render/scene.h"
-#include "render/session.h"
-
-#include "util/util_foreach.h"
-#include "util/util_function.h"
-#include "util/util_logging.h"
-#include "util/util_math.h"
-#include "util/util_task.h"
-#include "util/util_time.h"
-
-CCL_NAMESPACE_BEGIN
-
-Session::Session(const SessionParams &params_, const SceneParams &scene_params)
-    : params(params_), render_scheduler_(tile_manager_, params)
-{
-  TaskScheduler::init(params.threads);
-
-  session_thread_ = nullptr;
-
-  delayed_reset_.do_reset = false;
-
-  pause_ = false;
-  cancel_ = false;
-  new_work_added_ = false;
-
-  device = Device::create(params.device, stats, profiler);
-
-  scene = new Scene(scene_params, device);
-
-  /* Configure path tracer. */
-  path_trace_ = make_unique<PathTrace>(
-      device, scene->film, &scene->dscene, render_scheduler_, tile_manager_);
-  path_trace_->set_progress(&progress);
-  path_trace_->progress_update_cb = [&]() { update_status_time(); };
-
-  tile_manager_.full_buffer_written_cb = [&](string_view filename) {
-    if (!full_buffer_written_cb) {
-      return;
-    }
-    full_buffer_written_cb(filename);
-  };
-}
-
-Session::~Session()
-{
-  cancel();
-
-  /* Make sure path tracer is destroyed before the device. This is needed because destruction might
-   * need to access device for device memory free. */
-  /* TODO(sergey): Convert device to be unique_ptr, and rely on C++ to destruct objects in the
-   * pre-defined order. */
-  path_trace_.reset();
-
-  delete scene;
-  delete device;
-
-  TaskScheduler::exit();
-}
-
-void Session::start()
-{
-  if (!session_thread_) {
-    session_thread_ = new thread(function_bind(&Session::run, this));
-  }
-}
-
-void Session::cancel(bool quick)
-{
-  if (quick && path_trace_) {
-    path_trace_->cancel();
-  }
-
-  if (session_thread_) {
-    /* wait for session thread to end */
-    progress.set_cancel("Exiting");
-
-    {
-      thread_scoped_lock pause_lock(pause_mutex_);
-      pause_ = false;
-      cancel_ = true;
-    }
-    pause_cond_.notify_all();
-
-    wait();
-  }
-}
-
-bool Session::ready_to_reset()
-{
-  return path_trace_->ready_to_reset();
-}
-
-void Session::run_main_render_loop()
-{
-  path_trace_->clear_display();
-
-  while (true) {
-    RenderWork render_work = run_update_for_next_iteration();
-
-    if (!render_work) {
-      if (VLOG_IS_ON(2)) {
-        double total_time, render_time;
-        progress.get_time(total_time, render_time);
-        VLOG(2) << "Rendering in main loop is done in " << render_time << " seconds.";
-        VLOG(2) << path_trace_->full_report();
-      }
-
-      if (params.background) {
-        /* if no work left and in background mode, we can stop immediately. */
-        progress.set_status("Finished");
-        break;
-      }
-    }
-
-    const bool did_cancel = progress.get_cancel();
-    if (did_cancel) {
-      render_scheduler_.render_work_reschedule_on_cancel(render_work);
-      if (!render_work) {
-        break;
-      }
-    }
-    else if (run_wait_for_work(render_work)) {
-      continue;
-    }
-
-    /* Stop rendering if error happened during scene update or other step of preparing scene
-     * for render. */
-    if (device->have_error()) {
-      progress.set_error(device->error_message());
-      break;
-    }
-
-    {
-      /* buffers mutex is locked entirely while rendering each
-       * sample, and released/reacquired on each iteration to allow
-       * reset and draw in between */
-      thread_scoped_lock buffers_lock(buffers_mutex_);
-
-      /* update status and timing */
-      update_status_time();
-
-      /* render */
-      path_trace_->render(render_work);
-
-      /* update status and timing */
-      update_status_time();
-
-      /* Stop rendering if error happened during path tracing. */
-      if (device->have_error()) {
-        progress.set_error(device->error_message());
-        break;
-      }
-    }
-
-    progress.set_update();
-
-    if (did_cancel) {
-      break;
-    }
-  }
-}
-
-void Session::run()
-{
-  if (params.use_profiling && (params.device.type == DEVICE_CPU)) {
-    profiler.start();
-  }
-
-  /* session thread loop */
-  progress.set_status("Waiting for render to start");
-
-  /* run */
-  if (!progress.get_cancel()) {
-    /* reset number of rendered samples */
-    progress.reset_sample();
-
-    run_main_render_loop();
-  }
-
-  profiler.stop();
-
-  /* progress update */
-  if (progress.get_cancel())
-    progress.set_status(progress.get_cancel_message());
-  else
-    progress.set_update();
-}
-
-RenderWork Session::run_update_for_next_iteration()
-{
-  RenderWork render_work;
-
-  thread_scoped_lock scene_lock(scene->mutex);
-  thread_scoped_lock reset_lock(delayed_reset_.mutex);
-
-  bool have_tiles = true;
-  bool switched_to_new_tile = false;
-
-  const bool did_reset = delayed_reset_.do_reset;
-  if (delayed_reset_.do_reset) {
-    thread_scoped_lock buffers_lock(buffers_mutex_);
-    do_delayed_reset();
-
-    /* After reset make sure the tile manager is at the first big tile. */
-    have_tiles = tile_manager_.next();
-    switched_to_new_tile = true;
-  }
-
-  /* Update number of samples in the integrator.
-   * Ideally this would need to happen once in `Session::set_samples()`, but the issue there is
-   * the initial configuration when Session is created where the `set_samples()` is not used.
-   *
-   * NOTE: Unless reset was requested only allow increasing number of samples. */
-  if (did_reset || scene->integrator->get_aa_samples() < params.samples) {
-    scene->integrator->set_aa_samples(params.samples);
-  }
-
-  /* Update denoiser settings. */
-  {
-    const DenoiseParams denoise_params = scene->integrator->get_denoise_params();
-    path_trace_->set_denoiser_params(denoise_params);
-  }
-
-  /* Update adaptive sampling. */
-  {
-    const AdaptiveSampling adaptive_sampling = scene->integrator->get_adaptive_sampling();
-    path_trace_->set_adaptive_sampling(adaptive_sampling);
-  }
-
-  render_scheduler_.set_num_samples(params.samples);
-  render_scheduler_.set_time_limit(params.time_limit);
-
-  while (have_tiles) {
-    render_work = render_scheduler_.get_render_work();
-    if (render_work) {
-      break;
-    }
-
-    progress.add_finished_tile(false);
-
-    have_tiles = tile_manager_.next();
-    if (have_tiles) {
-      render_scheduler_.reset_for_next_tile();
-      switched_to_new_tile = true;
-    }
-  }
-
-  if (render_work) {
-    scoped_timer update_timer;
-
-    if (switched_to_new_tile) {
-      BufferParams tile_params = buffer_params_;
-
-      const Tile &tile = tile_manager_.get_current_tile();
-
-      tile_params.width = tile.width;
-      tile_params.height = tile.height;
-
-      tile_params.window_x = tile.window_x;
-      tile_params.window_y = tile.window_y;
-      tile_params.window_width = tile.window_width;
-      tile_params.window_height = tile.window_height;
-
-      tile_params.full_x = tile.x + buffer_params_.full_x;
-      tile_params.full_y = tile.y + buffer_params_.full_y;
-      tile_params.full_width = buffer_params_.full_width;
-      tile_params.full_height = buffer_params_.full_height;
-
-      tile_params.update_offset_stride();
-
-      path_trace_->reset(buffer_params_, tile_params);
-    }
-
-    const int resolution = render_work.resolution_divider;
-    const int width = max(1, buffer_params_.full_width / resolution);
-    const int height = max(1, buffer_params_.full_height / resolution);
-
-    if (update_scene(width, height)) {
-      profiler.reset(scene->shaders.size(), scene->objects.size());
-    }
-    progress.add_skip_time(update_timer, params.background);
-  }
-
-  return render_work;
-}
-
-bool Session::run_wait_for_work(const RenderWork &render_work)
-{
-  /* In an offline rendering there is no pause, and no tiles will mean the job is fully done. */
-  if (params.background) {
-    return false;
-  }
-
-  thread_scoped_lock pause_lock(pause_mutex_);
-
-  if (!pause_ && render_work) {
-    /* Rendering is not paused and there is work to be done. No need to wait for anything. */
-    return false;
-  }
-
-  const bool no_work = !render_work;
-  update_status_time(pause_, no_work);
-
-  /* Only leave the loop when rendering is not paused. But even if the current render is un-paused
-   * but there is nothing to render keep waiting until new work is added. */
-  while (!cancel_) {
-    scoped_timer pause_timer;
-
-    if (!pause_ && (render_work || new_work_added_ || delayed_reset_.do_reset)) {
-      break;
-    }
-
-    /* Wait for either pause state changed, or extra samples added to render. */
-    pause_cond_.wait(pause_lock);
-
-    if (pause_) {
-      progress.add_skip_time(pause_timer, params.background);
-    }
-
-    update_status_time(pause_, no_work);
-    progress.set_update();
-  }
-
-  new_work_added_ = false;
-
-  return no_work;
-}
-
-void Session::draw()
-{
-  path_trace_->draw();
-}
-
-int2 Session::get_effective_tile_size() const
-{
-  /* No support yet for baking with tiles. */
-  if (!params.use_auto_tile || scene->bake_manager->get_baking()) {
-    return make_int2(buffer_params_.width, buffer_params_.height);
-  }
-
-  /* TODO(sergey): Take available memory into account, and if there is enough memory do not tile
-   * and prefer optimal performance. */
-  const int tile_size = tile_manager_.compute_render_tile_size(params.tile_size);
-  return make_int2(tile_size, tile_size);
-}
-
-void Session::do_delayed_reset()
-{
-  if (!delayed_reset_.do_reset) {
-    return;
-  }
-  delayed_reset_.do_reset = false;
-
-  params = delayed_reset_.session_params;
-  buffer_params_ = delayed_reset_.buffer_params;
-
-  /* Store parameters used for buffers access outside of scene graph.  */
-  buffer_params_.samples = params.samples;
-  buffer_params_.exposure = scene->film->get_exposure();
-  buffer_params_.use_approximate_shadow_catcher =
-      scene->film->get_use_approximate_shadow_catcher();
-  buffer_params_.use_transparent_background = scene->background->get_transparent();
-
-  /* Tile and work scheduling. */
-  tile_manager_.reset_scheduling(buffer_params_, get_effective_tile_size());
-  render_scheduler_.reset(buffer_params_, params.samples);
-
-  /* Passes. */
-  /* When multiple tiles are used SAMPLE_COUNT pass is used to keep track of possible partial
-   * tile results. It is safe to use generic update function here which checks for changes since
-   * changes in tile settings re-creates session, which ensures film is fully updated on tile
-   * changes. */
-  scene->film->update_passes(scene, tile_manager_.has_multiple_tiles());
-
-  /* Update for new state of scene and passes. */
-  buffer_params_.update_passes(scene->passes);
-  tile_manager_.update(buffer_params_, scene);
-
-  /* Progress. */
-  progress.reset_sample();
-  progress.set_total_pixel_samples(static_cast<uint64_t>(buffer_params_.width) *
-                                   buffer_params_.height * params.samples);
-
-  if (!params.background) {
-    progress.set_start_time();
-  }
-  progress.set_render_start_time();
-}
-
-void Session::reset(const SessionParams &session_params, const BufferParams &buffer_params)
-{
-  {
-    thread_scoped_lock reset_lock(delayed_reset_.mutex);
-    thread_scoped_lock pause_lock(pause_mutex_);
-
-    delayed_reset_.do_reset = true;
-    delayed_reset_.session_params = session_params;
-    delayed_reset_.buffer_params = buffer_params;
-
-    path_trace_->cancel();
-  }
-
-  pause_cond_.notify_all();
-}
-
-void Session::set_samples(int samples)
-{
-  if (samples == params.samples) {
-    return;
-  }
-
-  params.samples = samples;
-
-  {
-    thread_scoped_lock pause_lock(pause_mutex_);
-    new_work_added_ = true;
-  }
-
-  pause_cond_.notify_all();
-}
-
-void Session::set_time_limit(double time_limit)
-{
-  if (time_limit == params.time_limit) {
-    return;
-  }
-
-  params.time_limit = time_limit;
-
-  {
-    thread_scoped_lock pause_lock(pause_mutex_);
-    new_work_added_ = true;
-  }
-
-  pause_cond_.notify_all();
-}
-
-void Session::set_pause(bool pause)
-{
-  bool notify = false;
-
-  {
-    thread_scoped_lock pause_lock(pause_mutex_);
-
-    if (pause != pause_) {
-      pause_ = pause;
-      notify = true;
-    }
-  }
-
-  if (session_thread_) {
-    if (notify) {
-      pause_cond_.notify_all();
-    }
-  }
-  else if (pause_) {
-    update_status_time(pause_);
-  }
-}
-
-void Session::set_output_driver(unique_ptr<OutputDriver> driver)
-{
-  path_trace_->set_output_driver(move(driver));
-}
-
-void Session::set_display_driver(unique_ptr<DisplayDriver> driver)
-{
-  path_trace_->set_display_driver(move(driver));
-}
-
-double Session::get_estimated_remaining_time() const
-{
-  const float completed = progress.get_progress();
-  if (completed == 0.0f) {
-    return 0.0;
-  }
-
-  double total_time, render_time;
-  progress.get_time(total_time, render_time);
-  double remaining = (1.0 - (double)completed) * (render_time / (double)completed);
-
-  const double time_limit = render_scheduler_.get_time_limit();
-  if (time_limit != 0.0) {
-    remaining = min(remaining, max(time_limit - render_time, 0.0));
-  }
-
-  return remaining;
-}
-
-void Session::wait()
-{
-  if (session_thread_) {
-    session_thread_->join();
-    delete session_thread_;
-  }
-
-  session_thread_ = nullptr;
-}
-
-bool Session::update_scene(int width, int height)
-{
-  /* Update camera if dimensions changed for progressive render. the camera
-   * knows nothing about progressive or cropped rendering, it just gets the
-   * image dimensions passed in. */
-  Camera *cam = scene->camera;
-  cam->set_screen_size(width, height);
-
-  const bool scene_update_result = scene->update(progress);
-
-  path_trace_->load_kernels();
-  path_trace_->alloc_work_memory();
-
-  return scene_update_result;
-}
-
-static string status_append(const string &status, const string &suffix)
-{
-  string prefix = status;
-  if (!prefix.empty()) {
-    prefix += ", ";
-  }
-  return prefix + suffix;
-}
-
-void Session::update_status_time(bool show_pause, bool show_done)
-{
-  string status, substatus;
-
-  const int current_tile = progress.get_rendered_tiles();
-  const int num_tiles = tile_manager_.get_num_tiles();
-
-  const int current_sample = progress.get_current_sample();
-  const int num_samples = render_scheduler_.get_num_samples();
-
-  /* TIle. */
-  if (tile_manager_.has_multiple_tiles()) {
-    substatus = status_append(substatus,
-                              string_printf("Rendered %d/%d Tiles", current_tile, num_tiles));
-  }
-
-  /* Sample. */
-  if (num_samples == Integrator::MAX_SAMPLES) {
-    substatus = status_append(substatus, string_printf("Sample %d", current_sample));
-  }
-  else {
-    substatus = status_append(substatus,
-                              string_printf("Sample %d/%d", current_sample, num_samples));
-  }
-
-  /* TODO(sergey): Denoising status from the path trace. */
-
-  if (show_pause) {
-    status = "Rendering Paused";
-  }
-  else if (show_done) {
-    status = "Rendering Done";
-    progress.set_end_time(); /* Save end time so that further calls to get_time are accurate. */
-  }
-  else {
-    status = substatus;
-    substatus.clear();
-  }
-
-  progress.set_status(status, substatus);
-}
-
-void Session::device_free()
-{
-  scene->device_free();
-  path_trace_->device_free();
-}
-
-void Session::collect_statistics(RenderStats *render_stats)
-{
-  scene->collect_statistics(render_stats);
-  if (params.use_profiling && (params.device.type == DEVICE_CPU)) {
-    render_stats->collect_profiling(scene, profiler);
-  }
-}
-
-/* --------------------------------------------------------------------
- * Full-frame on-disk storage.
- */
-
-void Session::process_full_buffer_from_disk(string_view filename)
-{
-  path_trace_->process_full_buffer_from_disk(filename);
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/session.h b/intern/cycles/render/session.h
deleted file mode 100644
index 46c964bc98c..00000000000
--- a/intern/cycles/render/session.h
+++ /dev/null
@@ -1,229 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __SESSION_H__
-#define __SESSION_H__
-
-#include "device/device.h"
-#include "integrator/render_scheduler.h"
-#include "render/buffers.h"
-#include "render/shader.h"
-#include "render/stats.h"
-#include "render/tile.h"
-
-#include "util/util_progress.h"
-#include "util/util_stats.h"
-#include "util/util_thread.h"
-#include "util/util_unique_ptr.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class BufferParams;
-class Device;
-class DeviceScene;
-class DisplayDriver;
-class OutputDriver;
-class PathTrace;
-class Progress;
-class RenderBuffers;
-class Scene;
-class SceneParams;
-
-/* Session Parameters */
-
-class SessionParams {
- public:
-  DeviceInfo device;
-
-  bool headless;
-  bool background;
-
-  bool experimental;
-  int samples;
-  int pixel_size;
-  int threads;
-
-  /* Limit in seconds for how long path tracing is allowed to happen.
-   * Zero means no limit is applied. */
-  double time_limit;
-
-  bool use_profiling;
-
-  bool use_auto_tile;
-  int tile_size;
-
-  ShadingSystem shadingsystem;
-
-  SessionParams()
-  {
-    headless = false;
-    background = false;
-
-    experimental = false;
-    samples = 1024;
-    pixel_size = 1;
-    threads = 0;
-    time_limit = 0.0;
-
-    use_profiling = false;
-
-    use_auto_tile = true;
-    tile_size = 2048;
-
-    shadingsystem = SHADINGSYSTEM_SVM;
-  }
-
-  bool modified(const SessionParams &params) const
-  {
-    /* Modified means we have to recreate the session, any parameter changes
-     * that can be handled by an existing Session are omitted. */
-    return !(device == params.device && headless == params.headless &&
-             background == params.background && experimental == params.experimental &&
-             pixel_size == params.pixel_size && threads == params.threads &&
-             use_profiling == params.use_profiling && shadingsystem == params.shadingsystem &&
-             use_auto_tile == params.use_auto_tile && tile_size == params.tile_size);
-  }
-};
-
-/* Session
- *
- * This is the class that contains the session thread, running the render
- * control loop and dispatching tasks. */
-
-class Session {
- public:
-  Device *device;
-  Scene *scene;
-  Progress progress;
-  SessionParams params;
-  Stats stats;
-  Profiler profiler;
-
-  /* Callback is invoked by tile manager whenever on-dist tiles storage file is closed after
-   * writing. Allows an engine integration to keep track of those files without worry about
-   * transferring the information when it needs to re-create session during rendering. */
-  function<void(string_view)> full_buffer_written_cb;
-
-  explicit Session(const SessionParams &params, const SceneParams &scene_params);
-  ~Session();
-
-  void start();
-
-  /* When quick cancel is requested path tracing is cancels as soon as possible, without waiting
-   * for the buffer to be uniformly sampled. */
-  void cancel(bool quick = false);
-
-  void draw();
-  void wait();
-
-  bool ready_to_reset();
-  void reset(const SessionParams &session_params, const BufferParams &buffer_params);
-
-  void set_pause(bool pause);
-
-  void set_samples(int samples);
-  void set_time_limit(double time_limit);
-
-  void set_output_driver(unique_ptr<OutputDriver> driver);
-  void set_display_driver(unique_ptr<DisplayDriver> driver);
-
-  double get_estimated_remaining_time() const;
-
-  void device_free();
-
-  /* Returns the rendering progress or 0 if no progress can be determined
-   * (for example, when rendering with unlimited samples). */
-  float get_progress();
-
-  void collect_statistics(RenderStats *stats);
-
-  /* --------------------------------------------------------------------
-   * Full-frame on-disk storage.
-   */
-
-  /* Read given full-frame file from disk, perform needed processing and write it to the software
-   * via the write callback. */
-  void process_full_buffer_from_disk(string_view filename);
-
- protected:
-  struct DelayedReset {
-    thread_mutex mutex;
-    bool do_reset;
-    SessionParams session_params;
-    BufferParams buffer_params;
-  } delayed_reset_;
-
-  void run();
-
-  /* Update for the new iteration of the main loop in run implementation (run_cpu and run_gpu).
-   *
-   * Will take care of the following things:
-   *  - Delayed reset
-   *  - Scene update
-   *  - Tile manager advance
-   *  - Render scheduler work request
-   *
-   * The updates are done in a proper order with proper locking around them, which guarantees
-   * that the device side of scene and render buffers are always in a consistent state.
-   *
-   * Returns render work which is to be rendered next. */
-  RenderWork run_update_for_next_iteration();
-
-  /* Wait for rendering to be unpaused, or for new tiles for render to arrive.
-   * Returns true if new main render loop iteration is required after this function call.
-   *
-   * The `render_work` is the work which was scheduled by the render scheduler right before
-   * checking the pause. */
-  bool run_wait_for_work(const RenderWork &render_work);
-
-  void run_main_render_loop();
-
-  bool update_scene(int width, int height);
-
-  void update_status_time(bool show_pause = false, bool show_done = false);
-
-  void do_delayed_reset();
-
-  int2 get_effective_tile_size() const;
-
-  thread *session_thread_;
-
-  bool pause_ = false;
-  bool cancel_ = false;
-  bool new_work_added_ = false;
-
-  thread_condition_variable pause_cond_;
-  thread_mutex pause_mutex_;
-  thread_mutex tile_mutex_;
-  thread_mutex buffers_mutex_;
-
-  TileManager tile_manager_;
-  BufferParams buffer_params_;
-
-  /* Render scheduler is used to get work to be rendered with the current big tile. */
-  RenderScheduler render_scheduler_;
-
-  /* Path tracer object.
-   *
-   * Is a single full-frame path tracer for interactive viewport rendering.
-   * A path tracer for the current big-tile for an offline rendering. */
-  unique_ptr<PathTrace> path_trace_;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __SESSION_H__ */
diff --git a/intern/cycles/render/shader.cpp b/intern/cycles/render/shader.cpp
deleted file mode 100644
index 23786a3390f..00000000000
--- a/intern/cycles/render/shader.cpp
+++ /dev/null
@@ -1,876 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "device/device.h"
-
-#include "render/background.h"
-#include "render/camera.h"
-#include "render/colorspace.h"
-#include "render/graph.h"
-#include "render/integrator.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/nodes.h"
-#include "render/object.h"
-#include "render/osl.h"
-#include "render/procedural.h"
-#include "render/scene.h"
-#include "render/shader.h"
-#include "render/svm.h"
-#include "render/tables.h"
-
-#include "util/util_foreach.h"
-#include "util/util_murmurhash.h"
-#include "util/util_task.h"
-#include "util/util_transform.h"
-
-#ifdef WITH_OCIO
-#  include <OpenColorIO/OpenColorIO.h>
-namespace OCIO = OCIO_NAMESPACE;
-#endif
-
-CCL_NAMESPACE_BEGIN
-
-thread_mutex ShaderManager::lookup_table_mutex;
-vector<float> ShaderManager::beckmann_table;
-bool ShaderManager::beckmann_table_ready = false;
-
-/* Beckmann sampling precomputed table, see bsdf_microfacet.h */
-
-/* 2D slope distribution (alpha = 1.0) */
-static float beckmann_table_P22(const float slope_x, const float slope_y)
-{
-  return expf(-(slope_x * slope_x + slope_y * slope_y));
-}
-
-/* maximal slope amplitude (range that contains 99.99% of the distribution) */
-static float beckmann_table_slope_max()
-{
-  return 6.0;
-}
-
-/* MSVC 2015 needs this ugly hack to prevent a codegen bug on x86
- * see T50176 for details
- */
-#if defined(_MSC_VER) && (_MSC_VER == 1900)
-#  define MSVC_VOLATILE volatile
-#else
-#  define MSVC_VOLATILE
-#endif
-
-/* Paper used: Importance Sampling Microfacet-Based BSDFs with the
- * Distribution of Visible Normals. Supplemental Material 2/2.
- *
- * http://hal.inria.fr/docs/01/00/66/20/ANNEX/supplemental2.pdf
- */
-static void beckmann_table_rows(float *table, int row_from, int row_to)
-{
-  /* allocate temporary data */
-  const int DATA_TMP_SIZE = 512;
-  vector<double> slope_x(DATA_TMP_SIZE);
-  vector<double> CDF_P22_omega_i(DATA_TMP_SIZE);
-
-  /* loop over incident directions */
-  for (int index_theta = row_from; index_theta < row_to; index_theta++) {
-    /* incident vector */
-    const float cos_theta = index_theta / (BECKMANN_TABLE_SIZE - 1.0f);
-    const float sin_theta = safe_sqrtf(1.0f - cos_theta * cos_theta);
-
-    /* for a given incident vector
-     * integrate P22_{omega_i}(x_slope, 1, 1), Eq. (10) */
-    slope_x[0] = (double)-beckmann_table_slope_max();
-    CDF_P22_omega_i[0] = 0;
-
-    for (MSVC_VOLATILE int index_slope_x = 1; index_slope_x < DATA_TMP_SIZE; ++index_slope_x) {
-      /* slope_x */
-      slope_x[index_slope_x] = (double)(-beckmann_table_slope_max() +
-                                        2.0f * beckmann_table_slope_max() * index_slope_x /
-                                            (DATA_TMP_SIZE - 1.0f));
-
-      /* dot product with incident vector */
-      float dot_product = fmaxf(0.0f, -(float)slope_x[index_slope_x] * sin_theta + cos_theta);
-      /* marginalize P22_{omega_i}(x_slope, 1, 1), Eq. (10) */
-      float P22_omega_i = 0.0f;
-
-      for (int j = 0; j < 100; ++j) {
-        float slope_y = -beckmann_table_slope_max() +
-                        2.0f * beckmann_table_slope_max() * j * (1.0f / 99.0f);
-        P22_omega_i += dot_product * beckmann_table_P22((float)slope_x[index_slope_x], slope_y);
-      }
-
-      /* CDF of P22_{omega_i}(x_slope, 1, 1), Eq. (10) */
-      CDF_P22_omega_i[index_slope_x] = CDF_P22_omega_i[index_slope_x - 1] + (double)P22_omega_i;
-    }
-
-    /* renormalize CDF_P22_omega_i */
-    for (int index_slope_x = 1; index_slope_x < DATA_TMP_SIZE; ++index_slope_x)
-      CDF_P22_omega_i[index_slope_x] /= CDF_P22_omega_i[DATA_TMP_SIZE - 1];
-
-    /* loop over random number U1 */
-    int index_slope_x = 0;
-
-    for (int index_U = 0; index_U < BECKMANN_TABLE_SIZE; ++index_U) {
-      const double U = 0.0000001 + 0.9999998 * index_U / (double)(BECKMANN_TABLE_SIZE - 1);
-
-      /* inverse CDF_P22_omega_i, solve Eq.(11) */
-      while (CDF_P22_omega_i[index_slope_x] <= U)
-        ++index_slope_x;
-
-      const double interp = (CDF_P22_omega_i[index_slope_x] - U) /
-                            (CDF_P22_omega_i[index_slope_x] - CDF_P22_omega_i[index_slope_x - 1]);
-
-      /* store value */
-      table[index_U + index_theta * BECKMANN_TABLE_SIZE] =
-          (float)(interp * slope_x[index_slope_x - 1] + (1.0 - interp) * slope_x[index_slope_x]);
-    }
-  }
-}
-
-#undef MSVC_VOLATILE
-
-static void beckmann_table_build(vector<float> &table)
-{
-  table.resize(BECKMANN_TABLE_SIZE * BECKMANN_TABLE_SIZE);
-
-  /* multithreaded build */
-  TaskPool pool;
-
-  for (int i = 0; i < BECKMANN_TABLE_SIZE; i += 8)
-    pool.push(function_bind(&beckmann_table_rows, &table[0], i, i + 8));
-
-  pool.wait_work();
-}
-
-/* Shader */
-
-NODE_DEFINE(Shader)
-{
-  NodeType *type = NodeType::add("shader", create);
-
-  SOCKET_BOOLEAN(use_mis, "Use MIS", true);
-  SOCKET_BOOLEAN(use_transparent_shadow, "Use Transparent Shadow", true);
-  SOCKET_BOOLEAN(heterogeneous_volume, "Heterogeneous Volume", true);
-
-  static NodeEnum volume_sampling_method_enum;
-  volume_sampling_method_enum.insert("distance", VOLUME_SAMPLING_DISTANCE);
-  volume_sampling_method_enum.insert("equiangular", VOLUME_SAMPLING_EQUIANGULAR);
-  volume_sampling_method_enum.insert("multiple_importance", VOLUME_SAMPLING_MULTIPLE_IMPORTANCE);
-  SOCKET_ENUM(volume_sampling_method,
-              "Volume Sampling Method",
-              volume_sampling_method_enum,
-              VOLUME_SAMPLING_MULTIPLE_IMPORTANCE);
-
-  static NodeEnum volume_interpolation_method_enum;
-  volume_interpolation_method_enum.insert("linear", VOLUME_INTERPOLATION_LINEAR);
-  volume_interpolation_method_enum.insert("cubic", VOLUME_INTERPOLATION_CUBIC);
-  SOCKET_ENUM(volume_interpolation_method,
-              "Volume Interpolation Method",
-              volume_interpolation_method_enum,
-              VOLUME_INTERPOLATION_LINEAR);
-
-  SOCKET_FLOAT(volume_step_rate, "Volume Step Rate", 1.0f);
-
-  static NodeEnum displacement_method_enum;
-  displacement_method_enum.insert("bump", DISPLACE_BUMP);
-  displacement_method_enum.insert("true", DISPLACE_TRUE);
-  displacement_method_enum.insert("both", DISPLACE_BOTH);
-  SOCKET_ENUM(displacement_method, "Displacement Method", displacement_method_enum, DISPLACE_BUMP);
-
-  SOCKET_INT(pass_id, "Pass ID", 0);
-
-  return type;
-}
-
-Shader::Shader() : Node(get_node_type())
-{
-  pass_id = 0;
-
-  graph = NULL;
-
-  has_surface = false;
-  has_surface_transparent = false;
-  has_surface_emission = false;
-  has_surface_raytrace = false;
-  has_surface_bssrdf = false;
-  has_volume = false;
-  has_displacement = false;
-  has_bump = false;
-  has_bssrdf_bump = false;
-  has_surface_spatial_varying = false;
-  has_volume_spatial_varying = false;
-  has_volume_attribute_dependency = false;
-  has_integrator_dependency = false;
-  has_volume_connected = false;
-  prev_volume_step_rate = 0.0f;
-
-  displacement_method = DISPLACE_BUMP;
-
-  id = -1;
-
-  need_update_uvs = true;
-  need_update_attribute = true;
-  need_update_displacement = true;
-}
-
-Shader::~Shader()
-{
-  delete graph;
-}
-
-bool Shader::is_constant_emission(float3 *emission)
-{
-  /* If the shader has AOVs, they need to be evaluated, so we can't skip the shader. */
-  foreach (ShaderNode *node, graph->nodes) {
-    if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT_AOV) {
-      return false;
-    }
-  }
-
-  ShaderInput *surf = graph->output()->input("Surface");
-
-  if (surf->link == NULL) {
-    return false;
-  }
-
-  if (surf->link->parent->type == EmissionNode::get_node_type()) {
-    EmissionNode *node = (EmissionNode *)surf->link->parent;
-
-    assert(node->input("Color"));
-    assert(node->input("Strength"));
-
-    if (node->input("Color")->link || node->input("Strength")->link) {
-      return false;
-    }
-
-    *emission = node->get_color() * node->get_strength();
-  }
-  else if (surf->link->parent->type == BackgroundNode::get_node_type()) {
-    BackgroundNode *node = (BackgroundNode *)surf->link->parent;
-
-    assert(node->input("Color"));
-    assert(node->input("Strength"));
-
-    if (node->input("Color")->link || node->input("Strength")->link) {
-      return false;
-    }
-
-    *emission = node->get_color() * node->get_strength();
-  }
-  else {
-    return false;
-  }
-
-  return true;
-}
-
-void Shader::set_graph(ShaderGraph *graph_)
-{
-  /* do this here already so that we can detect if mesh or object attributes
-   * are needed, since the node attribute callbacks check if their sockets
-   * are connected but proxy nodes should not count */
-  if (graph_) {
-    graph_->remove_proxy_nodes();
-
-    if (displacement_method != DISPLACE_BUMP) {
-      graph_->compute_displacement_hash();
-    }
-  }
-
-  /* update geometry if displacement changed */
-  if (displacement_method != DISPLACE_BUMP) {
-    const char *old_hash = (graph) ? graph->displacement_hash.c_str() : "";
-    const char *new_hash = (graph_) ? graph_->displacement_hash.c_str() : "";
-
-    if (strcmp(old_hash, new_hash) != 0) {
-      need_update_displacement = true;
-    }
-  }
-
-  /* assign graph */
-  delete graph;
-  graph = graph_;
-
-  /* Store info here before graph optimization to make sure that
-   * nodes that get optimized away still count. */
-  has_volume_connected = (graph->output()->input("Volume")->link != NULL);
-}
-
-void Shader::tag_update(Scene *scene)
-{
-  /* update tag */
-  tag_modified();
-
-  scene->shader_manager->tag_update(scene, ShaderManager::SHADER_MODIFIED);
-
-  /* if the shader previously was emissive, update light distribution,
-   * if the new shader is emissive, a light manager update tag will be
-   * done in the shader manager device update. */
-  if (use_mis && has_surface_emission)
-    scene->light_manager->tag_update(scene, LightManager::SHADER_MODIFIED);
-
-  /* Special handle of background MIS light for now: for some reason it
-   * has use_mis set to false. We are quite close to release now, so
-   * better to be safe.
-   */
-  if (this == scene->background->get_shader(scene)) {
-    scene->light_manager->need_update_background = true;
-    if (scene->light_manager->has_background_light(scene)) {
-      scene->light_manager->tag_update(scene, LightManager::SHADER_MODIFIED);
-    }
-  }
-
-  /* quick detection of which kind of shaders we have to avoid loading
-   * e.g. surface attributes when there is only a volume shader. this could
-   * be more fine grained but it's better than nothing */
-  OutputNode *output = graph->output();
-  bool prev_has_volume = has_volume;
-  has_surface = has_surface || output->input("Surface")->link;
-  has_volume = has_volume || output->input("Volume")->link;
-  has_displacement = has_displacement || output->input("Displacement")->link;
-
-  /* get requested attributes. this could be optimized by pruning unused
-   * nodes here already, but that's the job of the shader manager currently,
-   * and may not be so great for interactive rendering where you temporarily
-   * disconnect a node */
-
-  AttributeRequestSet prev_attributes = attributes;
-
-  attributes.clear();
-  foreach (ShaderNode *node, graph->nodes)
-    node->attributes(this, &attributes);
-
-  if (has_displacement) {
-    if (displacement_method == DISPLACE_BOTH) {
-      attributes.add(ATTR_STD_POSITION_UNDISPLACED);
-    }
-    if (displacement_method_is_modified()) {
-      need_update_displacement = true;
-      scene->geometry_manager->tag_update(scene, GeometryManager::SHADER_DISPLACEMENT_MODIFIED);
-      scene->object_manager->need_flags_update = true;
-    }
-  }
-
-  /* compare if the attributes changed, mesh manager will check
-   * need_update_attribute, update the relevant meshes and clear it. */
-  if (attributes.modified(prev_attributes)) {
-    need_update_attribute = true;
-    scene->geometry_manager->tag_update(scene, GeometryManager::SHADER_ATTRIBUTE_MODIFIED);
-    scene->procedural_manager->tag_update();
-  }
-
-  if (has_volume != prev_has_volume || volume_step_rate != prev_volume_step_rate) {
-    scene->geometry_manager->need_flags_update = true;
-    scene->object_manager->need_flags_update = true;
-    prev_volume_step_rate = volume_step_rate;
-  }
-}
-
-void Shader::tag_used(Scene *scene)
-{
-  /* if an unused shader suddenly gets used somewhere, it needs to be
-   * recompiled because it was skipped for compilation before */
-  if (!reference_count()) {
-    tag_modified();
-    /* We do not reference here as the shader will be referenced when added to a socket. */
-    scene->shader_manager->tag_update(scene, ShaderManager::SHADER_MODIFIED);
-  }
-}
-
-bool Shader::need_update_geometry() const
-{
-  return need_update_uvs || need_update_attribute || need_update_displacement;
-}
-
-/* Shader Manager */
-
-ShaderManager::ShaderManager()
-{
-  update_flags = UPDATE_ALL;
-  beckmann_table_offset = TABLE_OFFSET_INVALID;
-
-  init_xyz_transforms();
-}
-
-ShaderManager::~ShaderManager()
-{
-}
-
-ShaderManager *ShaderManager::create(int shadingsystem)
-{
-  ShaderManager *manager;
-
-  (void)shadingsystem; /* Ignored when built without OSL. */
-
-#ifdef WITH_OSL
-  if (shadingsystem == SHADINGSYSTEM_OSL) {
-    manager = new OSLShaderManager();
-  }
-  else
-#endif
-  {
-    manager = new SVMShaderManager();
-  }
-
-  return manager;
-}
-
-uint ShaderManager::get_attribute_id(ustring name)
-{
-  thread_scoped_spin_lock lock(attribute_lock_);
-
-  /* get a unique id for each name, for SVM attribute lookup */
-  AttributeIDMap::iterator it = unique_attribute_id.find(name);
-
-  if (it != unique_attribute_id.end())
-    return it->second;
-
-  uint id = (uint)ATTR_STD_NUM + unique_attribute_id.size();
-  unique_attribute_id[name] = id;
-  return id;
-}
-
-uint ShaderManager::get_attribute_id(AttributeStandard std)
-{
-  return (uint)std;
-}
-
-int ShaderManager::get_shader_id(Shader *shader, bool smooth)
-{
-  /* get a shader id to pass to the kernel */
-  int id = shader->id;
-
-  /* smooth flag */
-  if (smooth)
-    id |= SHADER_SMOOTH_NORMAL;
-
-  /* default flags */
-  id |= SHADER_CAST_SHADOW | SHADER_AREA_LIGHT;
-
-  return id;
-}
-
-void ShaderManager::device_update(Device *device,
-                                  DeviceScene *dscene,
-                                  Scene *scene,
-                                  Progress &progress)
-{
-  if (!need_update()) {
-    return;
-  }
-
-  uint id = 0;
-  foreach (Shader *shader, scene->shaders) {
-    shader->id = id++;
-  }
-
-  /* Those shaders should always be compiled as they are used as fallback if a shader cannot be
-   * found, e.g. bad shader index for the triangle shaders on a Mesh. */
-  assert(scene->default_surface->reference_count() != 0);
-  assert(scene->default_light->reference_count() != 0);
-  assert(scene->default_background->reference_count() != 0);
-  assert(scene->default_empty->reference_count() != 0);
-
-  device_update_specific(device, dscene, scene, progress);
-}
-
-void ShaderManager::device_update_common(Device * /*device*/,
-                                         DeviceScene *dscene,
-                                         Scene *scene,
-                                         Progress & /*progress*/)
-{
-  dscene->shaders.free();
-
-  if (scene->shaders.size() == 0)
-    return;
-
-  KernelShader *kshader = dscene->shaders.alloc(scene->shaders.size());
-  bool has_volumes = false;
-  bool has_transparent_shadow = false;
-
-  foreach (Shader *shader, scene->shaders) {
-    uint flag = 0;
-
-    if (shader->get_use_mis())
-      flag |= SD_USE_MIS;
-    if (shader->has_surface_emission)
-      flag |= SD_HAS_EMISSION;
-    if (shader->has_surface_transparent && shader->get_use_transparent_shadow())
-      flag |= SD_HAS_TRANSPARENT_SHADOW;
-    if (shader->has_surface_raytrace)
-      flag |= SD_HAS_RAYTRACE;
-    if (shader->has_volume) {
-      flag |= SD_HAS_VOLUME;
-      has_volumes = true;
-
-      /* todo: this could check more fine grained, to skip useless volumes
-       * enclosed inside an opaque bsdf.
-       */
-      flag |= SD_HAS_TRANSPARENT_SHADOW;
-    }
-    /* in this case we can assume transparent surface */
-    if (shader->has_volume_connected && !shader->has_surface)
-      flag |= SD_HAS_ONLY_VOLUME;
-    if (shader->has_volume) {
-      if (shader->get_heterogeneous_volume() && shader->has_volume_spatial_varying)
-        flag |= SD_HETEROGENEOUS_VOLUME;
-    }
-    if (shader->has_volume_attribute_dependency)
-      flag |= SD_NEED_VOLUME_ATTRIBUTES;
-    if (shader->has_bssrdf_bump)
-      flag |= SD_HAS_BSSRDF_BUMP;
-    if (shader->get_volume_sampling_method() == VOLUME_SAMPLING_EQUIANGULAR)
-      flag |= SD_VOLUME_EQUIANGULAR;
-    if (shader->get_volume_sampling_method() == VOLUME_SAMPLING_MULTIPLE_IMPORTANCE)
-      flag |= SD_VOLUME_MIS;
-    if (shader->get_volume_interpolation_method() == VOLUME_INTERPOLATION_CUBIC)
-      flag |= SD_VOLUME_CUBIC;
-    if (shader->has_bump)
-      flag |= SD_HAS_BUMP;
-    if (shader->get_displacement_method() != DISPLACE_BUMP)
-      flag |= SD_HAS_DISPLACEMENT;
-
-    /* constant emission check */
-    float3 constant_emission = zero_float3();
-    if (shader->is_constant_emission(&constant_emission))
-      flag |= SD_HAS_CONSTANT_EMISSION;
-
-    uint32_t cryptomatte_id = util_murmur_hash3(shader->name.c_str(), shader->name.length(), 0);
-
-    /* regular shader */
-    kshader->flags = flag;
-    kshader->pass_id = shader->get_pass_id();
-    kshader->constant_emission[0] = constant_emission.x;
-    kshader->constant_emission[1] = constant_emission.y;
-    kshader->constant_emission[2] = constant_emission.z;
-    kshader->cryptomatte_id = util_hash_to_float(cryptomatte_id);
-    kshader++;
-
-    has_transparent_shadow |= (flag & SD_HAS_TRANSPARENT_SHADOW) != 0;
-  }
-
-  dscene->shaders.copy_to_device();
-
-  /* lookup tables */
-  KernelTables *ktables = &dscene->data.tables;
-
-  /* beckmann lookup table */
-  if (beckmann_table_offset == TABLE_OFFSET_INVALID) {
-    if (!beckmann_table_ready) {
-      thread_scoped_lock lock(lookup_table_mutex);
-      if (!beckmann_table_ready) {
-        beckmann_table_build(beckmann_table);
-        beckmann_table_ready = true;
-      }
-    }
-    beckmann_table_offset = scene->lookup_tables->add_table(dscene, beckmann_table);
-  }
-  ktables->beckmann_offset = (int)beckmann_table_offset;
-
-  /* integrator */
-  KernelIntegrator *kintegrator = &dscene->data.integrator;
-  kintegrator->use_volumes = has_volumes;
-  /* TODO(sergey): De-duplicate with flags set in integrator.cpp. */
-  kintegrator->transparent_shadows = has_transparent_shadow;
-
-  /* film */
-  KernelFilm *kfilm = &dscene->data.film;
-  /* color space, needs to be here because e.g. displacement shaders could depend on it */
-  kfilm->xyz_to_r = float3_to_float4(xyz_to_r);
-  kfilm->xyz_to_g = float3_to_float4(xyz_to_g);
-  kfilm->xyz_to_b = float3_to_float4(xyz_to_b);
-  kfilm->rgb_to_y = float3_to_float4(rgb_to_y);
-}
-
-void ShaderManager::device_free_common(Device *, DeviceScene *dscene, Scene *scene)
-{
-  scene->lookup_tables->remove_table(&beckmann_table_offset);
-
-  dscene->shaders.free();
-}
-
-void ShaderManager::add_default(Scene *scene)
-{
-  /* default surface */
-  {
-    ShaderGraph *graph = new ShaderGraph();
-
-    DiffuseBsdfNode *diffuse = graph->create_node<DiffuseBsdfNode>();
-    diffuse->set_color(make_float3(0.8f, 0.8f, 0.8f));
-    graph->add(diffuse);
-
-    graph->connect(diffuse->output("BSDF"), graph->output()->input("Surface"));
-
-    Shader *shader = scene->create_node<Shader>();
-    shader->name = "default_surface";
-    shader->set_graph(graph);
-    shader->reference();
-    scene->default_surface = shader;
-    shader->tag_update(scene);
-  }
-
-  /* default volume */
-  {
-    ShaderGraph *graph = new ShaderGraph();
-
-    PrincipledVolumeNode *principled = graph->create_node<PrincipledVolumeNode>();
-    graph->add(principled);
-
-    graph->connect(principled->output("Volume"), graph->output()->input("Volume"));
-
-    Shader *shader = scene->create_node<Shader>();
-    shader->name = "default_volume";
-    shader->set_graph(graph);
-    scene->default_volume = shader;
-    shader->tag_update(scene);
-    /* No default reference for the volume to avoid compiling volume kernels if there are no actual
-     * volumes in the scene */
-  }
-
-  /* default light */
-  {
-    ShaderGraph *graph = new ShaderGraph();
-
-    EmissionNode *emission = graph->create_node<EmissionNode>();
-    emission->set_color(make_float3(0.8f, 0.8f, 0.8f));
-    emission->set_strength(0.0f);
-    graph->add(emission);
-
-    graph->connect(emission->output("Emission"), graph->output()->input("Surface"));
-
-    Shader *shader = scene->create_node<Shader>();
-    shader->name = "default_light";
-    shader->set_graph(graph);
-    shader->reference();
-    scene->default_light = shader;
-    shader->tag_update(scene);
-  }
-
-  /* default background */
-  {
-    ShaderGraph *graph = new ShaderGraph();
-
-    Shader *shader = scene->create_node<Shader>();
-    shader->name = "default_background";
-    shader->set_graph(graph);
-    shader->reference();
-    scene->default_background = shader;
-    shader->tag_update(scene);
-  }
-
-  /* default empty */
-  {
-    ShaderGraph *graph = new ShaderGraph();
-
-    Shader *shader = scene->create_node<Shader>();
-    shader->name = "default_empty";
-    shader->set_graph(graph);
-    shader->reference();
-    scene->default_empty = shader;
-    shader->tag_update(scene);
-  }
-}
-
-uint ShaderManager::get_graph_kernel_features(ShaderGraph *graph)
-{
-  uint kernel_features = 0;
-
-  foreach (ShaderNode *node, graph->nodes) {
-    kernel_features |= node->get_feature();
-    if (node->special_type == SHADER_SPECIAL_TYPE_CLOSURE) {
-      BsdfBaseNode *bsdf_node = static_cast<BsdfBaseNode *>(node);
-      if (CLOSURE_IS_VOLUME(bsdf_node->get_closure_type())) {
-        kernel_features |= KERNEL_FEATURE_NODE_VOLUME;
-      }
-      else if (CLOSURE_IS_PRINCIPLED(bsdf_node->get_closure_type())) {
-        kernel_features |= KERNEL_FEATURE_PRINCIPLED;
-      }
-    }
-    if (node->has_surface_bssrdf()) {
-      kernel_features |= KERNEL_FEATURE_SUBSURFACE;
-    }
-    if (node->has_surface_transparent()) {
-      kernel_features |= KERNEL_FEATURE_TRANSPARENT;
-    }
-  }
-
-  return kernel_features;
-}
-
-uint ShaderManager::get_kernel_features(Scene *scene)
-{
-  uint kernel_features = KERNEL_FEATURE_NODE_BSDF | KERNEL_FEATURE_NODE_EMISSION;
-  for (int i = 0; i < scene->shaders.size(); i++) {
-    Shader *shader = scene->shaders[i];
-    if (!shader->reference_count()) {
-      continue;
-    }
-
-    /* Gather requested features from all the nodes from the graph nodes. */
-    kernel_features |= get_graph_kernel_features(shader->graph);
-    ShaderNode *output_node = shader->graph->output();
-    if (output_node->input("Displacement")->link != NULL) {
-      kernel_features |= KERNEL_FEATURE_NODE_BUMP;
-      if (shader->get_displacement_method() == DISPLACE_BOTH) {
-        kernel_features |= KERNEL_FEATURE_NODE_BUMP_STATE;
-      }
-    }
-    /* On top of volume nodes, also check if we need volume sampling because
-     * e.g. an Emission node would slip through the KERNEL_FEATURE_NODE_VOLUME check */
-    if (shader->has_volume_connected) {
-      kernel_features |= KERNEL_FEATURE_VOLUME;
-    }
-  }
-
-  return kernel_features;
-}
-
-void ShaderManager::free_memory()
-{
-  beckmann_table.free_memory();
-
-#ifdef WITH_OSL
-  OSLShaderManager::free_memory();
-#endif
-
-  ColorSpaceManager::free_memory();
-}
-
-float ShaderManager::linear_rgb_to_gray(float3 c)
-{
-  return dot(c, rgb_to_y);
-}
-
-string ShaderManager::get_cryptomatte_materials(Scene *scene)
-{
-  string manifest = "{";
-  unordered_set<ustring, ustringHash> materials;
-  foreach (Shader *shader, scene->shaders) {
-    if (materials.count(shader->name)) {
-      continue;
-    }
-    materials.insert(shader->name);
-    uint32_t cryptomatte_id = util_murmur_hash3(shader->name.c_str(), shader->name.length(), 0);
-    manifest += string_printf("\"%s\":\"%08x\",", shader->name.c_str(), cryptomatte_id);
-  }
-  manifest[manifest.size() - 1] = '}';
-  return manifest;
-}
-
-void ShaderManager::tag_update(Scene * /*scene*/, uint32_t /*flag*/)
-{
-  /* update everything for now */
-  update_flags = ShaderManager::UPDATE_ALL;
-}
-
-bool ShaderManager::need_update() const
-{
-  return update_flags != UPDATE_NONE;
-}
-
-#ifdef WITH_OCIO
-static bool to_scene_linear_transform(OCIO::ConstConfigRcPtr &config,
-                                      const char *colorspace,
-                                      Transform &to_scene_linear)
-{
-  OCIO::ConstProcessorRcPtr processor;
-  try {
-    processor = config->getProcessor(OCIO::ROLE_SCENE_LINEAR, colorspace);
-  }
-  catch (OCIO::Exception &) {
-    return false;
-  }
-
-  if (!processor) {
-    return false;
-  }
-
-  OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
-  if (!device_processor) {
-    return false;
-  }
-
-  to_scene_linear = transform_identity();
-  device_processor->applyRGB(&to_scene_linear.x.x);
-  device_processor->applyRGB(&to_scene_linear.y.x);
-  device_processor->applyRGB(&to_scene_linear.z.x);
-  to_scene_linear = transform_transposed_inverse(to_scene_linear);
-  return true;
-}
-#endif
-
-void ShaderManager::init_xyz_transforms()
-{
-  /* Default to ITU-BT.709 in case no appropriate transform found.
-   * Note XYZ here is defined as having a D65 white point. */
-  xyz_to_r = make_float3(3.2404542f, -1.5371385f, -0.4985314f);
-  xyz_to_g = make_float3(-0.9692660f, 1.8760108f, 0.0415560f);
-  xyz_to_b = make_float3(0.0556434f, -0.2040259f, 1.0572252f);
-  rgb_to_y = make_float3(0.2126729f, 0.7151522f, 0.0721750f);
-
-#ifdef WITH_OCIO
-  /* Get from OpenColorO config if it has the required roles. */
-  OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
-  if (!(config && config->hasRole(OCIO::ROLE_SCENE_LINEAR))) {
-    return;
-  }
-
-  Transform xyz_to_rgb;
-
-  if (config->hasRole("aces_interchange")) {
-    /* Standard OpenColorIO role, defined as ACES2065-1. */
-    const Transform xyz_E_to_aces = make_transform(1.0498110175f,
-                                                   0.0f,
-                                                   -0.0000974845f,
-                                                   0.0f,
-                                                   -0.4959030231f,
-                                                   1.3733130458f,
-                                                   0.0982400361f,
-                                                   0.0f,
-                                                   0.0f,
-                                                   0.0f,
-                                                   0.9912520182f,
-                                                   0.0f);
-    const Transform xyz_D65_to_E = make_transform(
-        1.0521111f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.9184170f, 0.0f);
-
-    Transform aces_to_rgb;
-    if (!to_scene_linear_transform(config, "aces_interchange", aces_to_rgb)) {
-      return;
-    }
-
-    xyz_to_rgb = aces_to_rgb * xyz_E_to_aces * xyz_D65_to_E;
-  }
-  else if (config->hasRole("XYZ")) {
-    /* Custom role used before the standard existed. */
-    if (!to_scene_linear_transform(config, "XYZ", xyz_to_rgb)) {
-      return;
-    }
-  }
-  else {
-    /* No reference role found to determine XYZ. */
-    return;
-  }
-
-  xyz_to_r = float4_to_float3(xyz_to_rgb.x);
-  xyz_to_g = float4_to_float3(xyz_to_rgb.y);
-  xyz_to_b = float4_to_float3(xyz_to_rgb.z);
-
-  const Transform rgb_to_xyz = transform_inverse(xyz_to_rgb);
-  rgb_to_y = float4_to_float3(rgb_to_xyz.y);
-#endif
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/shader.h b/intern/cycles/render/shader.h
deleted file mode 100644
index 5f9adea3949..00000000000
--- a/intern/cycles/render/shader.h
+++ /dev/null
@@ -1,259 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __SHADER_H__
-#define __SHADER_H__
-
-#ifdef WITH_OSL
-/* So no context pollution happens from indirectly included windows.h */
-#  include "util/util_windows.h"
-#  include <OSL/oslexec.h>
-#endif
-
-#include "kernel/kernel_types.h"
-#include "render/attribute.h"
-
-#include "graph/node.h"
-
-#include "util/util_map.h"
-#include "util/util_param.h"
-#include "util/util_string.h"
-#include "util/util_thread.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Mesh;
-class Progress;
-class Scene;
-class ShaderGraph;
-struct float3;
-
-enum ShadingSystem { SHADINGSYSTEM_OSL, SHADINGSYSTEM_SVM };
-
-/* Keep those in sync with the python-defined enum. */
-enum VolumeSampling {
-  VOLUME_SAMPLING_DISTANCE = 0,
-  VOLUME_SAMPLING_EQUIANGULAR = 1,
-  VOLUME_SAMPLING_MULTIPLE_IMPORTANCE = 2,
-
-  VOLUME_NUM_SAMPLING,
-};
-
-enum VolumeInterpolation {
-  VOLUME_INTERPOLATION_LINEAR = 0,
-  VOLUME_INTERPOLATION_CUBIC = 1,
-
-  VOLUME_NUM_INTERPOLATION,
-};
-
-enum DisplacementMethod {
-  DISPLACE_BUMP = 0,
-  DISPLACE_TRUE = 1,
-  DISPLACE_BOTH = 2,
-
-  DISPLACE_NUM_METHODS,
-};
-
-/* Shader describing the appearance of a Mesh, Light or Background.
- *
- * While there is only a single shader graph, it has three outputs: surface,
- * volume and displacement, that the shader manager will compile and execute
- * separately. */
-
-class Shader : public Node {
- public:
-  NODE_DECLARE
-
-  /* shader graph */
-  ShaderGraph *graph;
-
-  NODE_SOCKET_API(int, pass_id)
-
-  /* sampling */
-  NODE_SOCKET_API(bool, use_mis)
-  NODE_SOCKET_API(bool, use_transparent_shadow)
-  NODE_SOCKET_API(bool, heterogeneous_volume)
-  NODE_SOCKET_API(VolumeSampling, volume_sampling_method)
-  NODE_SOCKET_API(int, volume_interpolation_method)
-  NODE_SOCKET_API(float, volume_step_rate)
-
-  /* displacement */
-  NODE_SOCKET_API(DisplacementMethod, displacement_method)
-
-  float prev_volume_step_rate;
-
-  /* synchronization */
-  bool need_update_uvs;
-  bool need_update_attribute;
-  bool need_update_displacement;
-
-  /* If the shader has only volume components, the surface is assumed to
-   * be transparent.
-   * However, graph optimization might remove the volume subgraph, but
-   * since the user connected something to the volume output the surface
-   * should still be transparent.
-   * Therefore, has_volume_connected stores whether some volume sub-tree
-   * was connected before optimization. */
-  bool has_volume_connected;
-
-  /* information about shader after compiling */
-  bool has_surface;
-  bool has_surface_emission;
-  bool has_surface_transparent;
-  bool has_surface_raytrace;
-  bool has_volume;
-  bool has_displacement;
-  bool has_surface_bssrdf;
-  bool has_bump;
-  bool has_bssrdf_bump;
-  bool has_surface_spatial_varying;
-  bool has_volume_spatial_varying;
-  bool has_volume_attribute_dependency;
-  bool has_integrator_dependency;
-
-  /* requested mesh attributes */
-  AttributeRequestSet attributes;
-
-  /* determined before compiling */
-  uint id;
-
-#ifdef WITH_OSL
-  /* osl shading state references */
-  OSL::ShaderGroupRef osl_surface_ref;
-  OSL::ShaderGroupRef osl_surface_bump_ref;
-  OSL::ShaderGroupRef osl_volume_ref;
-  OSL::ShaderGroupRef osl_displacement_ref;
-#endif
-
-  Shader();
-  ~Shader();
-
-  /* Checks whether the shader consists of just a emission node with fixed inputs that's connected
-   * directly to the output.
-   * If yes, it sets the content of emission to the constant value (color * strength), which is
-   * then used for speeding up light evaluation. */
-  bool is_constant_emission(float3 *emission);
-
-  void set_graph(ShaderGraph *graph);
-  void tag_update(Scene *scene);
-  void tag_used(Scene *scene);
-
-  /* Return true when either of the surface or displacement socket of the output node is linked.
-   * This should be used to ensure that surface attributes are also requested even when only the
-   * displacement socket is linked. */
-  bool has_surface_link() const
-  {
-    return has_surface || has_displacement;
-  }
-
-  bool need_update_geometry() const;
-};
-
-/* Shader Manager virtual base class
- *
- * From this the SVM and OSL shader managers are derived, that do the actual
- * shader compiling and device updating. */
-
-class ShaderManager {
- public:
-  enum : uint32_t {
-    SHADER_ADDED = (1 << 0),
-    SHADER_MODIFIED = (1 << 2),
-    INTEGRATOR_MODIFIED = (1 << 3),
-
-    /* tag everything in the manager for an update */
-    UPDATE_ALL = ~0u,
-
-    UPDATE_NONE = 0u,
-  };
-
-  static ShaderManager *create(int shadingsystem);
-  virtual ~ShaderManager();
-
-  virtual void reset(Scene *scene) = 0;
-
-  virtual bool use_osl()
-  {
-    return false;
-  }
-
-  /* device update */
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-  virtual void device_update_specific(Device *device,
-                                      DeviceScene *dscene,
-                                      Scene *scene,
-                                      Progress &progress) = 0;
-  virtual void device_free(Device *device, DeviceScene *dscene, Scene *scene) = 0;
-
-  void device_update_common(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
-  void device_free_common(Device *device, DeviceScene *dscene, Scene *scene);
-
-  /* get globally unique id for a type of attribute */
-  uint get_attribute_id(ustring name);
-  uint get_attribute_id(AttributeStandard std);
-
-  /* get shader id for mesh faces */
-  int get_shader_id(Shader *shader, bool smooth = false);
-
-  /* add default shaders to scene, to use as default for things that don't
-   * have any shader assigned explicitly */
-  static void add_default(Scene *scene);
-
-  /* Selective nodes compilation. */
-  uint get_kernel_features(Scene *scene);
-
-  static void free_memory();
-
-  float linear_rgb_to_gray(float3 c);
-
-  string get_cryptomatte_materials(Scene *scene);
-
-  void tag_update(Scene *scene, uint32_t flag);
-
-  bool need_update() const;
-
-  void init_xyz_transforms();
-
- protected:
-  ShaderManager();
-
-  uint32_t update_flags;
-
-  typedef unordered_map<ustring, uint, ustringHash> AttributeIDMap;
-  AttributeIDMap unique_attribute_id;
-
-  static thread_mutex lookup_table_mutex;
-  static vector<float> beckmann_table;
-  static bool beckmann_table_ready;
-
-  size_t beckmann_table_offset;
-
-  uint get_graph_kernel_features(ShaderGraph *graph);
-
-  thread_spin_lock attribute_lock_;
-
-  float3 xyz_to_r;
-  float3 xyz_to_g;
-  float3 xyz_to_b;
-  float3 rgb_to_y;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __SHADER_H__ */
diff --git a/intern/cycles/render/sobol.cpp b/intern/cycles/render/sobol.cpp
deleted file mode 100644
index c821249b239..00000000000
--- a/intern/cycles/render/sobol.cpp
+++ /dev/null
@@ -1,21307 +0,0 @@
-/*
- * Sobol sequence direction vectors.
- *
- * This file contains code to create direction vectors for generating sobol
- * sequences in high dimensions. It is adapted from code on this webpage:
- *
- * http://web.maths.unsw.edu.au/~fkuo/sobol/
- *
- * From these papers:
- *
- * S. Joe and F. Y. Kuo, Remark on Algorithm 659: Implementing Sobol's quasirandom
- * sequence generator, ACM Trans. Math. Softw. 29, 49-57 (2003)
- *
- * S. Joe and F. Y. Kuo, Constructing Sobol sequences with better two-dimensional
- * projections, SIAM J. Sci. Comput. 30, 2635-2654 (2008)
- */
-
-/* Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are met:
- *
- *     * Redistributions of source code must retain the above copyright
- *       notice, this list of conditions and the following disclaimer.
- *
- *     * Redistributions in binary form must reproduce the above copyright
- *       notice, this list of conditions and the following disclaimer in the
- *       documentation and/or other materials provided with the distribution.
- *
- *     * Neither the names of the copyright holders nor the names of the
- *       University of New South Wales and the University of Waikato
- *       and its contributors may be used to endorse or promote products derived
- *       from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
- * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
- * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
- * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
- * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
- * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
- * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#include "util/util_types.h"
-
-#include "render/sobol.h"
-
-CCL_NAMESPACE_BEGIN
-
-#define SOBOL_MAX_NUMBER 32
-
-typedef struct SobolDirectionNumbers {
-  uint d, s, a;
-  uint m[SOBOL_MAX_NUMBER];
-} SobolDirectionNumbers;
-
-/* Note: this file is skipped by clang-format. */
-
-/* Keep simple alignment. */
-/* clang-format off */
-static const SobolDirectionNumbers SOBOL_NUMBERS[SOBOL_MAX_DIMENSIONS - 1] = {
-{2, 1, 0, {1}},
-{3, 2, 1, {1, 3}},
-{4, 3, 1, {1, 3, 1}},
-{5, 3, 2, {1, 1, 1}},
-{6, 4, 1, {1, 1, 3, 3}},
-{7, 4, 4, {1, 3, 5, 13}},
-{8, 5, 2, {1, 1, 5, 5, 17}},
-{9, 5, 4, {1, 1, 5, 5, 5}},
-{10, 5, 7, {1, 1, 7, 11, 19}},
-{11, 5, 11, {1, 1, 5, 1, 1}},
-{12, 5, 13, {1, 1, 1, 3, 11}},
-{13, 5, 14, {1, 3, 5, 5, 31}},
-{14, 6, 1, {1, 3, 3, 9, 7, 49}},
-{15, 6, 13, {1, 1, 1, 15, 21, 21}},
-{16, 6, 16, {1, 3, 1, 13, 27, 49}},
-{17, 6, 19, {1, 1, 1, 15, 7, 5}},
-{18, 6, 22, {1, 3, 1, 15, 13, 25}},
-{19, 6, 25, {1, 1, 5, 5, 19, 61}},
-{20, 7, 1, {1, 3, 7, 11, 23, 15, 103}},
-{21, 7, 4, {1, 3, 7, 13, 13, 15, 69}},
-{22, 7, 7, {1, 1, 3, 13, 7, 35, 63}},
-{23, 7, 8, {1, 3, 5, 9, 1, 25, 53}},
-{24, 7, 14, {1, 3, 1, 13, 9, 35, 107}},
-{25, 7, 19, {1, 3, 1, 5, 27, 61, 31}},
-{26, 7, 21, {1, 1, 5, 11, 19, 41, 61}},
-{27, 7, 28, {1, 3, 5, 3, 3, 13, 69}},
-{28, 7, 31, {1, 1, 7, 13, 1, 19, 1}},
-{29, 7, 32, {1, 3, 7, 5, 13, 19, 59}},
-{30, 7, 37, {1, 1, 3, 9, 25, 29, 41}},
-{31, 7, 41, {1, 3, 5, 13, 23, 1, 55}},
-{32, 7, 42, {1, 3, 7, 3, 13, 59, 17}},
-{33, 7, 50, {1, 3, 1, 3, 5, 53, 69}},
-{34, 7, 55, {1, 1, 5, 5, 23, 33, 13}},
-{35, 7, 56, {1, 1, 7, 7, 1, 61, 123}},
-{36, 7, 59, {1, 1, 7, 9, 13, 61, 49}},
-{37, 7, 62, {1, 3, 3, 5, 3, 55, 33}},
-{38, 8, 14, {1, 3, 1, 15, 31, 13, 49, 245}},
-{39, 8, 21, {1, 3, 5, 15, 31, 59, 63, 97}},
-{40, 8, 22, {1, 3, 1, 11, 11, 11, 77, 249}},
-{41, 8, 38, {1, 3, 1, 11, 27, 43, 71, 9}},
-{42, 8, 47, {1, 1, 7, 15, 21, 11, 81, 45}},
-{43, 8, 49, {1, 3, 7, 3, 25, 31, 65, 79}},
-{44, 8, 50, {1, 3, 1, 1, 19, 11, 3, 205}},
-{45, 8, 52, {1, 1, 5, 9, 19, 21, 29, 157}},
-{46, 8, 56, {1, 3, 7, 11, 1, 33, 89, 185}},
-{47, 8, 67, {1, 3, 3, 3, 15, 9, 79, 71}},
-{48, 8, 70, {1, 3, 7, 11, 15, 39, 119, 27}},
-{49, 8, 84, {1, 1, 3, 1, 11, 31, 97, 225}},
-{50, 8, 97, {1, 1, 1, 3, 23, 43, 57, 177}},
-{51, 8, 103, {1, 3, 7, 7, 17, 17, 37, 71}},
-{52, 8, 115, {1, 3, 1, 5, 27, 63, 123, 213}},
-{53, 8, 122, {1, 1, 3, 5, 11, 43, 53, 133}},
-{54, 9, 8, {1, 3, 5, 5, 29, 17, 47, 173, 479}},
-{55, 9, 13, {1, 3, 3, 11, 3, 1, 109, 9, 69}},
-{56, 9, 16, {1, 1, 1, 5, 17, 39, 23, 5, 343}},
-{57, 9, 22, {1, 3, 1, 5, 25, 15, 31, 103, 499}},
-{58, 9, 25, {1, 1, 1, 11, 11, 17, 63, 105, 183}},
-{59, 9, 44, {1, 1, 5, 11, 9, 29, 97, 231, 363}},
-{60, 9, 47, {1, 1, 5, 15, 19, 45, 41, 7, 383}},
-{61, 9, 52, {1, 3, 7, 7, 31, 19, 83, 137, 221}},
-{62, 9, 55, {1, 1, 1, 3, 23, 15, 111, 223, 83}},
-{63, 9, 59, {1, 1, 5, 13, 31, 15, 55, 25, 161}},
-{64, 9, 62, {1, 1, 3, 13, 25, 47, 39, 87, 257}},
-{65, 9, 67, {1, 1, 1, 11, 21, 53, 125, 249, 293}},
-{66, 9, 74, {1, 1, 7, 11, 11, 7, 57, 79, 323}},
-{67, 9, 81, {1, 1, 5, 5, 17, 13, 81, 3, 131}},
-{68, 9, 82, {1, 1, 7, 13, 23, 7, 65, 251, 475}},
-{69, 9, 87, {1, 3, 5, 1, 9, 43, 3, 149, 11}},
-{70, 9, 91, {1, 1, 3, 13, 31, 13, 13, 255, 487}},
-{71, 9, 94, {1, 3, 3, 1, 5, 63, 89, 91, 127}},
-{72, 9, 103, {1, 1, 3, 3, 1, 19, 123, 127, 237}},
-{73, 9, 104, {1, 1, 5, 7, 23, 31, 37, 243, 289}},
-{74, 9, 109, {1, 1, 5, 11, 17, 53, 117, 183, 491}},
-{75, 9, 122, {1, 1, 1, 5, 1, 13, 13, 209, 345}},
-{76, 9, 124, {1, 1, 3, 15, 1, 57, 115, 7, 33}},
-{77, 9, 137, {1, 3, 1, 11, 7, 43, 81, 207, 175}},
-{78, 9, 138, {1, 3, 1, 1, 15, 27, 63, 255, 49}},
-{79, 9, 143, {1, 3, 5, 3, 27, 61, 105, 171, 305}},
-{80, 9, 145, {1, 1, 5, 3, 1, 3, 57, 249, 149}},
-{81, 9, 152, {1, 1, 3, 5, 5, 57, 15, 13, 159}},
-{82, 9, 157, {1, 1, 1, 11, 7, 11, 105, 141, 225}},
-{83, 9, 167, {1, 3, 3, 5, 27, 59, 121, 101, 271}},
-{84, 9, 173, {1, 3, 5, 9, 11, 49, 51, 59, 115}},
-{85, 9, 176, {1, 1, 7, 1, 23, 45, 125, 71, 419}},
-{86, 9, 181, {1, 1, 3, 5, 23, 5, 105, 109, 75}},
-{87, 9, 182, {1, 1, 7, 15, 7, 11, 67, 121, 453}},
-{88, 9, 185, {1, 3, 7, 3, 9, 13, 31, 27, 449}},
-{89, 9, 191, {1, 3, 1, 15, 19, 39, 39, 89, 15}},
-{90, 9, 194, {1, 1, 1, 1, 1, 33, 73, 145, 379}},
-{91, 9, 199, {1, 3, 1, 15, 15, 43, 29, 13, 483}},
-{92, 9, 218, {1, 1, 7, 3, 19, 27, 85, 131, 431}},
-{93, 9, 220, {1, 3, 3, 3, 5, 35, 23, 195, 349}},
-{94, 9, 227, {1, 3, 3, 7, 9, 27, 39, 59, 297}},
-{95, 9, 229, {1, 1, 3, 9, 11, 17, 13, 241, 157}},
-{96, 9, 230, {1, 3, 7, 15, 25, 57, 33, 189, 213}},
-{97, 9, 234, {1, 1, 7, 1, 9, 55, 73, 83, 217}},
-{98, 9, 236, {1, 3, 3, 13, 19, 27, 23, 113, 249}},
-{99, 9, 241, {1, 3, 5, 3, 23, 43, 3, 253, 479}},
-{100, 9, 244, {1, 1, 5, 5, 11, 5, 45, 117, 217}},
-{101, 9, 253, {1, 3, 3, 7, 29, 37, 33, 123, 147}},
-{102, 10, 4, {1, 3, 1, 15, 5, 5, 37, 227, 223, 459}},
-{103, 10, 13, {1, 1, 7, 5, 5, 39, 63, 255, 135, 487}},
-{104, 10, 19, {1, 3, 1, 7, 9, 7, 87, 249, 217, 599}},
-{105, 10, 22, {1, 1, 3, 13, 9, 47, 7, 225, 363, 247}},
-{106, 10, 50, {1, 3, 7, 13, 19, 13, 9, 67, 9, 737}},
-{107, 10, 55, {1, 3, 5, 5, 19, 59, 7, 41, 319, 677}},
-{108, 10, 64, {1, 1, 5, 3, 31, 63, 15, 43, 207, 789}},
-{109, 10, 69, {1, 1, 7, 9, 13, 39, 3, 47, 497, 169}},
-{110, 10, 98, {1, 3, 1, 7, 21, 17, 97, 19, 415, 905}},
-{111, 10, 107, {1, 3, 7, 1, 3, 31, 71, 111, 165, 127}},
-{112, 10, 115, {1, 1, 5, 11, 1, 61, 83, 119, 203, 847}},
-{113, 10, 121, {1, 3, 3, 13, 9, 61, 19, 97, 47, 35}},
-{114, 10, 127, {1, 1, 7, 7, 15, 29, 63, 95, 417, 469}},
-{115, 10, 134, {1, 3, 1, 9, 25, 9, 71, 57, 213, 385}},
-{116, 10, 140, {1, 3, 5, 13, 31, 47, 101, 57, 39, 341}},
-{117, 10, 145, {1, 1, 3, 3, 31, 57, 125, 173, 365, 551}},
-{118, 10, 152, {1, 3, 7, 1, 13, 57, 67, 157, 451, 707}},
-{119, 10, 158, {1, 1, 1, 7, 21, 13, 105, 89, 429, 965}},
-{120, 10, 161, {1, 1, 5, 9, 17, 51, 45, 119, 157, 141}},
-{121, 10, 171, {1, 3, 7, 7, 13, 45, 91, 9, 129, 741}},
-{122, 10, 181, {1, 3, 7, 1, 23, 57, 67, 141, 151, 571}},
-{123, 10, 194, {1, 1, 3, 11, 17, 47, 93, 107, 375, 157}},
-{124, 10, 199, {1, 3, 3, 5, 11, 21, 43, 51, 169, 915}},
-{125, 10, 203, {1, 1, 5, 3, 15, 55, 101, 67, 455, 625}},
-{126, 10, 208, {1, 3, 5, 9, 1, 23, 29, 47, 345, 595}},
-{127, 10, 227, {1, 3, 7, 7, 5, 49, 29, 155, 323, 589}},
-{128, 10, 242, {1, 3, 3, 7, 5, 41, 127, 61, 261, 717}},
-{129, 10, 251, {1, 3, 7, 7, 17, 23, 117, 67, 129, 1009}},
-{130, 10, 253, {1, 1, 3, 13, 11, 39, 21, 207, 123, 305}},
-{131, 10, 265, {1, 1, 3, 9, 29, 3, 95, 47, 231, 73}},
-{132, 10, 266, {1, 3, 1, 9, 1, 29, 117, 21, 441, 259}},
-{133, 10, 274, {1, 3, 1, 13, 21, 39, 125, 211, 439, 723}},
-{134, 10, 283, {1, 1, 7, 3, 17, 63, 115, 89, 49, 773}},
-{135, 10, 289, {1, 3, 7, 13, 11, 33, 101, 107, 63, 73}},
-{136, 10, 295, {1, 1, 5, 5, 13, 57, 63, 135, 437, 177}},
-{137, 10, 301, {1, 1, 3, 7, 27, 63, 93, 47, 417, 483}},
-{138, 10, 316, {1, 1, 3, 1, 23, 29, 1, 191, 49, 23}},
-{139, 10, 319, {1, 1, 3, 15, 25, 55, 9, 101, 219, 607}},
-{140, 10, 324, {1, 3, 1, 7, 7, 19, 51, 251, 393, 307}},
-{141, 10, 346, {1, 3, 3, 3, 25, 55, 17, 75, 337, 3}},
-{142, 10, 352, {1, 1, 1, 13, 25, 17, 65, 45, 479, 413}},
-{143, 10, 361, {1, 1, 7, 7, 27, 49, 99, 161, 213, 727}},
-{144, 10, 367, {1, 3, 5, 1, 23, 5, 43, 41, 251, 857}},
-{145, 10, 382, {1, 3, 3, 7, 11, 61, 39, 87, 383, 835}},
-{146, 10, 395, {1, 1, 3, 15, 13, 7, 29, 7, 505, 923}},
-{147, 10, 398, {1, 3, 7, 1, 5, 31, 47, 157, 445, 501}},
-{148, 10, 400, {1, 1, 3, 7, 1, 43, 9, 147, 115, 605}},
-{149, 10, 412, {1, 3, 3, 13, 5, 1, 119, 211, 455, 1001}},
-{150, 10, 419, {1, 1, 3, 5, 13, 19, 3, 243, 75, 843}},
-{151, 10, 422, {1, 3, 7, 7, 1, 19, 91, 249, 357, 589}},
-{152, 10, 426, {1, 1, 1, 9, 1, 25, 109, 197, 279, 411}},
-{153, 10, 428, {1, 3, 1, 15, 23, 57, 59, 135, 191, 75}},
-{154, 10, 433, {1, 1, 5, 15, 29, 21, 39, 253, 383, 349}},
-{155, 10, 446, {1, 3, 3, 5, 19, 45, 61, 151, 199, 981}},
-{156, 10, 454, {1, 3, 5, 13, 9, 61, 107, 141, 141, 1}},
-{157, 10, 457, {1, 3, 1, 11, 27, 25, 85, 105, 309, 979}},
-{158, 10, 472, {1, 3, 3, 11, 19, 7, 115, 223, 349, 43}},
-{159, 10, 493, {1, 1, 7, 9, 21, 39, 123, 21, 275, 927}},
-{160, 10, 505, {1, 1, 7, 13, 15, 41, 47, 243, 303, 437}},
-{161, 10, 508, {1, 1, 1, 7, 7, 3, 15, 99, 409, 719}},
-{162, 11, 2, {1, 3, 3, 15, 27, 49, 113, 123, 113, 67, 469}},
-{163, 11, 11, {1, 3, 7, 11, 3, 23, 87, 169, 119, 483, 199}},
-{164, 11, 21, {1, 1, 5, 15, 7, 17, 109, 229, 179, 213, 741}},
-{165, 11, 22, {1, 1, 5, 13, 11, 17, 25, 135, 403, 557, 1433}},
-{166, 11, 35, {1, 3, 1, 1, 1, 61, 67, 215, 189, 945, 1243}},
-{167, 11, 49, {1, 1, 7, 13, 17, 33, 9, 221, 429, 217, 1679}},
-{168, 11, 50, {1, 1, 3, 11, 27, 3, 15, 93, 93, 865, 1049}},
-{169, 11, 56, {1, 3, 7, 7, 25, 41, 121, 35, 373, 379, 1547}},
-{170, 11, 61, {1, 3, 3, 9, 11, 35, 45, 205, 241, 9, 59}},
-{171, 11, 70, {1, 3, 1, 7, 3, 51, 7, 177, 53, 975, 89}},
-{172, 11, 74, {1, 1, 3, 5, 27, 1, 113, 231, 299, 759, 861}},
-{173, 11, 79, {1, 3, 3, 15, 25, 29, 5, 255, 139, 891, 2031}},
-{174, 11, 84, {1, 3, 1, 1, 13, 9, 109, 193, 419, 95, 17}},
-{175, 11, 88, {1, 1, 7, 9, 3, 7, 29, 41, 135, 839, 867}},
-{176, 11, 103, {1, 1, 7, 9, 25, 49, 123, 217, 113, 909, 215}},
-{177, 11, 104, {1, 1, 7, 3, 23, 15, 43, 133, 217, 327, 901}},
-{178, 11, 112, {1, 1, 3, 3, 13, 53, 63, 123, 477, 711, 1387}},
-{179, 11, 115, {1, 1, 3, 15, 7, 29, 75, 119, 181, 957, 247}},
-{180, 11, 117, {1, 1, 1, 11, 27, 25, 109, 151, 267, 99, 1461}},
-{181, 11, 122, {1, 3, 7, 15, 5, 5, 53, 145, 11, 725, 1501}},
-{182, 11, 134, {1, 3, 7, 1, 9, 43, 71, 229, 157, 607, 1835}},
-{183, 11, 137, {1, 3, 3, 13, 25, 1, 5, 27, 471, 349, 127}},
-{184, 11, 146, {1, 1, 1, 1, 23, 37, 9, 221, 269, 897, 1685}},
-{185, 11, 148, {1, 1, 3, 3, 31, 29, 51, 19, 311, 553, 1969}},
-{186, 11, 157, {1, 3, 7, 5, 5, 55, 17, 39, 475, 671, 1529}},
-{187, 11, 158, {1, 1, 7, 1, 1, 35, 47, 27, 437, 395, 1635}},
-{188, 11, 162, {1, 1, 7, 3, 13, 23, 43, 135, 327, 139, 389}},
-{189, 11, 164, {1, 3, 7, 3, 9, 25, 91, 25, 429, 219, 513}},
-{190, 11, 168, {1, 1, 3, 5, 13, 29, 119, 201, 277, 157, 2043}},
-{191, 11, 173, {1, 3, 5, 3, 29, 57, 13, 17, 167, 739, 1031}},
-{192, 11, 185, {1, 3, 3, 5, 29, 21, 95, 27, 255, 679, 1531}},
-{193, 11, 186, {1, 3, 7, 15, 9, 5, 21, 71, 61, 961, 1201}},
-{194, 11, 191, {1, 3, 5, 13, 15, 57, 33, 93, 459, 867, 223}},
-{195, 11, 193, {1, 1, 1, 15, 17, 43, 127, 191, 67, 177, 1073}},
-{196, 11, 199, {1, 1, 1, 15, 23, 7, 21, 199, 75, 293, 1611}},
-{197, 11, 213, {1, 3, 7, 13, 15, 39, 21, 149, 65, 741, 319}},
-{198, 11, 214, {1, 3, 7, 11, 23, 13, 101, 89, 277, 519, 711}},
-{199, 11, 220, {1, 3, 7, 15, 19, 27, 85, 203, 441, 97, 1895}},
-{200, 11, 227, {1, 3, 1, 3, 29, 25, 21, 155, 11, 191, 197}},
-{201, 11, 236, {1, 1, 7, 5, 27, 11, 81, 101, 457, 675, 1687}},
-{202, 11, 242, {1, 3, 1, 5, 25, 5, 65, 193, 41, 567, 781}},
-{203, 11, 251, {1, 3, 1, 5, 11, 15, 113, 77, 411, 695, 1111}},
-{204, 11, 256, {1, 1, 3, 9, 11, 53, 119, 171, 55, 297, 509}},
-{205, 11, 259, {1, 1, 1, 1, 11, 39, 113, 139, 165, 347, 595}},
-{206, 11, 265, {1, 3, 7, 11, 9, 17, 101, 13, 81, 325, 1733}},
-{207, 11, 266, {1, 3, 1, 1, 21, 43, 115, 9, 113, 907, 645}},
-{208, 11, 276, {1, 1, 7, 3, 9, 25, 117, 197, 159, 471, 475}},
-{209, 11, 292, {1, 3, 1, 9, 11, 21, 57, 207, 485, 613, 1661}},
-{210, 11, 304, {1, 1, 7, 7, 27, 55, 49, 223, 89, 85, 1523}},
-{211, 11, 310, {1, 1, 5, 3, 19, 41, 45, 51, 447, 299, 1355}},
-{212, 11, 316, {1, 3, 1, 13, 1, 33, 117, 143, 313, 187, 1073}},
-{213, 11, 319, {1, 1, 7, 7, 5, 11, 65, 97, 377, 377, 1501}},
-{214, 11, 322, {1, 3, 1, 1, 21, 35, 95, 65, 99, 23, 1239}},
-{215, 11, 328, {1, 1, 5, 9, 3, 37, 95, 167, 115, 425, 867}},
-{216, 11, 334, {1, 3, 3, 13, 1, 37, 27, 189, 81, 679, 773}},
-{217, 11, 339, {1, 1, 3, 11, 1, 61, 99, 233, 429, 969, 49}},
-{218, 11, 341, {1, 1, 1, 7, 25, 63, 99, 165, 245, 793, 1143}},
-{219, 11, 345, {1, 1, 5, 11, 11, 43, 55, 65, 71, 283, 273}},
-{220, 11, 346, {1, 1, 5, 5, 9, 3, 101, 251, 355, 379, 1611}},
-{221, 11, 362, {1, 1, 1, 15, 21, 63, 85, 99, 49, 749, 1335}},
-{222, 11, 367, {1, 1, 5, 13, 27, 9, 121, 43, 255, 715, 289}},
-{223, 11, 372, {1, 3, 1, 5, 27, 19, 17, 223, 77, 571, 1415}},
-{224, 11, 375, {1, 1, 5, 3, 13, 59, 125, 251, 195, 551, 1737}},
-{225, 11, 376, {1, 3, 3, 15, 13, 27, 49, 105, 389, 971, 755}},
-{226, 11, 381, {1, 3, 5, 15, 23, 43, 35, 107, 447, 763, 253}},
-{227, 11, 385, {1, 3, 5, 11, 21, 3, 17, 39, 497, 407, 611}},
-{228, 11, 388, {1, 1, 7, 13, 15, 31, 113, 17, 23, 507, 1995}},
-{229, 11, 392, {1, 1, 7, 15, 3, 15, 31, 153, 423, 79, 503}},
-{230, 11, 409, {1, 1, 7, 9, 19, 25, 23, 171, 505, 923, 1989}},
-{231, 11, 415, {1, 1, 5, 9, 21, 27, 121, 223, 133, 87, 697}},
-{232, 11, 416, {1, 1, 5, 5, 9, 19, 107, 99, 319, 765, 1461}},
-{233, 11, 421, {1, 1, 3, 3, 19, 25, 3, 101, 171, 729, 187}},
-{234, 11, 428, {1, 1, 3, 1, 13, 23, 85, 93, 291, 209, 37}},
-{235, 11, 431, {1, 1, 1, 15, 25, 25, 77, 253, 333, 947, 1073}},
-{236, 11, 434, {1, 1, 3, 9, 17, 29, 55, 47, 255, 305, 2037}},
-{237, 11, 439, {1, 3, 3, 9, 29, 63, 9, 103, 489, 939, 1523}},
-{238, 11, 446, {1, 3, 7, 15, 7, 31, 89, 175, 369, 339, 595}},
-{239, 11, 451, {1, 3, 7, 13, 25, 5, 71, 207, 251, 367, 665}},
-{240, 11, 453, {1, 3, 3, 3, 21, 25, 75, 35, 31, 321, 1603}},
-{241, 11, 457, {1, 1, 1, 9, 11, 1, 65, 5, 11, 329, 535}},
-{242, 11, 458, {1, 1, 5, 3, 19, 13, 17, 43, 379, 485, 383}},
-{243, 11, 471, {1, 3, 5, 13, 13, 9, 85, 147, 489, 787, 1133}},
-{244, 11, 475, {1, 3, 1, 1, 5, 51, 37, 129, 195, 297, 1783}},
-{245, 11, 478, {1, 1, 3, 15, 19, 57, 59, 181, 455, 697, 2033}},
-{246, 11, 484, {1, 3, 7, 1, 27, 9, 65, 145, 325, 189, 201}},
-{247, 11, 493, {1, 3, 1, 15, 31, 23, 19, 5, 485, 581, 539}},
-{248, 11, 494, {1, 1, 7, 13, 11, 15, 65, 83, 185, 847, 831}},
-{249, 11, 499, {1, 3, 5, 7, 7, 55, 73, 15, 303, 511, 1905}},
-{250, 11, 502, {1, 3, 5, 9, 7, 21, 45, 15, 397, 385, 597}},
-{251, 11, 517, {1, 3, 7, 3, 23, 13, 73, 221, 511, 883, 1265}},
-{252, 11, 518, {1, 1, 3, 11, 1, 51, 73, 185, 33, 975, 1441}},
-{253, 11, 524, {1, 3, 3, 9, 19, 59, 21, 39, 339, 37, 143}},
-{254, 11, 527, {1, 1, 7, 1, 31, 33, 19, 167, 117, 635, 639}},
-{255, 11, 555, {1, 1, 1, 3, 5, 13, 59, 83, 355, 349, 1967}},
-{256, 11, 560, {1, 1, 1, 5, 19, 3, 53, 133, 97, 863, 983}},
-{257, 11, 565, {1, 3, 1, 13, 9, 41, 91, 105, 173, 97, 625}},
-{258, 11, 569, {1, 1, 5, 3, 7, 49, 115, 133, 71, 231, 1063}},
-{259, 11, 578, {1, 1, 7, 5, 17, 43, 47, 45, 497, 547, 757}},
-{260, 11, 580, {1, 3, 5, 15, 21, 61, 123, 191, 249, 31, 631}},
-{261, 11, 587, {1, 3, 7, 9, 17, 7, 11, 185, 127, 169, 1951}},
-{262, 11, 589, {1, 1, 5, 13, 11, 11, 9, 49, 29, 125, 791}},
-{263, 11, 590, {1, 1, 1, 15, 31, 41, 13, 167, 273, 429, 57}},
-{264, 11, 601, {1, 3, 5, 3, 27, 7, 35, 209, 65, 265, 1393}},
-{265, 11, 607, {1, 3, 1, 13, 31, 19, 53, 143, 135, 9, 1021}},
-{266, 11, 611, {1, 1, 7, 13, 31, 5, 115, 153, 143, 957, 623}},
-{267, 11, 614, {1, 1, 5, 11, 25, 19, 29, 31, 297, 943, 443}},
-{268, 11, 617, {1, 3, 3, 5, 21, 11, 127, 81, 479, 25, 699}},
-{269, 11, 618, {1, 1, 3, 11, 25, 31, 97, 19, 195, 781, 705}},
-{270, 11, 625, {1, 1, 5, 5, 31, 11, 75, 207, 197, 885, 2037}},
-{271, 11, 628, {1, 1, 1, 11, 9, 23, 29, 231, 307, 17, 1497}},
-{272, 11, 635, {1, 1, 5, 11, 11, 43, 111, 233, 307, 523, 1259}},
-{273, 11, 641, {1, 1, 7, 5, 1, 21, 107, 229, 343, 933, 217}},
-{274, 11, 647, {1, 1, 1, 11, 3, 21, 125, 131, 405, 599, 1469}},
-{275, 11, 654, {1, 3, 5, 5, 9, 39, 33, 81, 389, 151, 811}},
-{276, 11, 659, {1, 1, 7, 7, 7, 1, 59, 223, 265, 529, 2021}},
-{277, 11, 662, {1, 3, 1, 3, 9, 23, 85, 181, 47, 265, 49}},
-{278, 11, 672, {1, 3, 5, 11, 19, 23, 9, 7, 157, 299, 1983}},
-{279, 11, 675, {1, 3, 1, 5, 15, 5, 21, 105, 29, 339, 1041}},
-{280, 11, 682, {1, 1, 1, 1, 5, 33, 65, 85, 111, 705, 479}},
-{281, 11, 684, {1, 1, 1, 7, 9, 35, 77, 87, 151, 321, 101}},
-{282, 11, 689, {1, 1, 5, 7, 17, 1, 51, 197, 175, 811, 1229}},
-{283, 11, 695, {1, 3, 3, 15, 23, 37, 85, 185, 239, 543, 731}},
-{284, 11, 696, {1, 3, 1, 7, 7, 55, 111, 109, 289, 439, 243}},
-{285, 11, 713, {1, 1, 7, 11, 17, 53, 35, 217, 259, 853, 1667}},
-{286, 11, 719, {1, 3, 1, 9, 1, 63, 87, 17, 73, 565, 1091}},
-{287, 11, 724, {1, 1, 3, 3, 11, 41, 1, 57, 295, 263, 1029}},
-{288, 11, 733, {1, 1, 5, 1, 27, 45, 109, 161, 411, 421, 1395}},
-{289, 11, 734, {1, 3, 5, 11, 25, 35, 47, 191, 339, 417, 1727}},
-{290, 11, 740, {1, 1, 5, 15, 21, 1, 93, 251, 351, 217, 1767}},
-{291, 11, 747, {1, 3, 3, 11, 3, 7, 75, 155, 313, 211, 491}},
-{292, 11, 749, {1, 3, 3, 5, 11, 9, 101, 161, 453, 913, 1067}},
-{293, 11, 752, {1, 1, 3, 1, 15, 45, 127, 141, 163, 727, 1597}},
-{294, 11, 755, {1, 3, 3, 7, 1, 33, 63, 73, 73, 341, 1691}},
-{295, 11, 762, {1, 3, 5, 13, 15, 39, 53, 235, 77, 99, 949}},
-{296, 11, 770, {1, 1, 5, 13, 31, 17, 97, 13, 215, 301, 1927}},
-{297, 11, 782, {1, 1, 7, 1, 1, 37, 91, 93, 441, 251, 1131}},
-{298, 11, 784, {1, 3, 7, 9, 25, 5, 105, 69, 81, 943, 1459}},
-{299, 11, 787, {1, 3, 7, 11, 31, 43, 13, 209, 27, 1017, 501}},
-{300, 11, 789, {1, 1, 7, 15, 1, 33, 31, 233, 161, 507, 387}},
-{301, 11, 793, {1, 3, 3, 5, 5, 53, 33, 177, 503, 627, 1927}},
-{302, 11, 796, {1, 1, 7, 11, 7, 61, 119, 31, 457, 229, 1875}},
-{303, 11, 803, {1, 1, 5, 15, 19, 5, 53, 201, 157, 885, 1057}},
-{304, 11, 805, {1, 3, 7, 9, 1, 35, 51, 113, 249, 425, 1009}},
-{305, 11, 810, {1, 3, 5, 7, 21, 53, 37, 155, 119, 345, 631}},
-{306, 11, 815, {1, 3, 5, 7, 15, 31, 109, 69, 503, 595, 1879}},
-{307, 11, 824, {1, 3, 3, 1, 25, 35, 65, 131, 403, 705, 503}},
-{308, 11, 829, {1, 3, 7, 7, 19, 33, 11, 153, 45, 633, 499}},
-{309, 11, 830, {1, 3, 3, 5, 11, 3, 29, 93, 487, 33, 703}},
-{310, 11, 832, {1, 1, 3, 15, 21, 53, 107, 179, 387, 927, 1757}},
-{311, 11, 841, {1, 1, 3, 7, 21, 45, 51, 147, 175, 317, 361}},
-{312, 11, 847, {1, 1, 1, 7, 7, 13, 15, 243, 269, 795, 1965}},
-{313, 11, 849, {1, 1, 3, 5, 19, 33, 57, 115, 443, 537, 627}},
-{314, 11, 861, {1, 3, 3, 9, 3, 39, 25, 61, 185, 717, 1049}},
-{315, 11, 871, {1, 3, 7, 3, 7, 37, 107, 153, 7, 269, 1581}},
-{316, 11, 878, {1, 1, 7, 3, 7, 41, 91, 41, 145, 489, 1245}},
-{317, 11, 889, {1, 1, 5, 9, 7, 7, 105, 81, 403, 407, 283}},
-{318, 11, 892, {1, 1, 7, 9, 27, 55, 29, 77, 193, 963, 949}},
-{319, 11, 901, {1, 1, 5, 3, 25, 51, 107, 63, 403, 917, 815}},
-{320, 11, 908, {1, 1, 7, 3, 7, 61, 19, 51, 457, 599, 535}},
-{321, 11, 920, {1, 3, 7, 1, 23, 51, 105, 153, 239, 215, 1847}},
-{322, 11, 923, {1, 1, 3, 5, 27, 23, 79, 49, 495, 45, 1935}},
-{323, 11, 942, {1, 1, 1, 11, 11, 47, 55, 133, 495, 999, 1461}},
-{324, 11, 949, {1, 1, 3, 15, 27, 51, 93, 17, 355, 763, 1675}},
-{325, 11, 950, {1, 3, 1, 3, 1, 3, 79, 119, 499, 17, 995}},
-{326, 11, 954, {1, 1, 1, 1, 15, 43, 45, 17, 167, 973, 799}},
-{327, 11, 961, {1, 1, 1, 3, 27, 49, 89, 29, 483, 913, 2023}},
-{328, 11, 968, {1, 1, 3, 3, 5, 11, 75, 7, 41, 851, 611}},
-{329, 11, 971, {1, 3, 1, 3, 7, 57, 39, 123, 257, 283, 507}},
-{330, 11, 973, {1, 3, 3, 11, 27, 23, 113, 229, 187, 299, 133}},
-{331, 11, 979, {1, 1, 3, 13, 9, 63, 101, 77, 451, 169, 337}},
-{332, 11, 982, {1, 3, 7, 3, 3, 59, 45, 195, 229, 415, 409}},
-{333, 11, 986, {1, 3, 5, 3, 11, 19, 71, 93, 43, 857, 369}},
-{334, 11, 998, {1, 3, 7, 9, 19, 33, 115, 19, 241, 703, 247}},
-{335, 11, 1001, {1, 3, 5, 11, 5, 35, 21, 155, 463, 1005, 1073}},
-{336, 11, 1010, {1, 3, 7, 3, 25, 15, 109, 83, 93, 69, 1189}},
-{337, 11, 1012, {1, 3, 5, 7, 5, 21, 93, 133, 135, 167, 903}},
-{338, 12, 41, {1, 1, 7, 7, 3, 59, 121, 161, 285, 815, 1769, 3705}},
-{339, 12, 52, {1, 3, 1, 1, 3, 47, 103, 171, 381, 609, 185, 373}},
-{340, 12, 61, {1, 3, 3, 15, 23, 33, 107, 131, 441, 445, 689, 2059}},
-{341, 12, 62, {1, 3, 3, 11, 7, 53, 101, 167, 435, 803, 1255, 3781}},
-{342, 12, 76, {1, 1, 5, 11, 15, 59, 41, 19, 135, 835, 1263, 505}},
-{343, 12, 104, {1, 1, 7, 11, 21, 49, 23, 219, 127, 961, 1065, 385}},
-{344, 12, 117, {1, 3, 5, 15, 7, 47, 117, 217, 45, 731, 1639, 733}},
-{345, 12, 131, {1, 1, 7, 11, 27, 57, 91, 87, 81, 35, 1269, 1007}},
-{346, 12, 143, {1, 1, 3, 11, 15, 37, 53, 219, 193, 937, 1899, 3733}},
-{347, 12, 145, {1, 3, 5, 3, 13, 11, 27, 19, 199, 393, 965, 2195}},
-{348, 12, 157, {1, 3, 1, 3, 5, 1, 37, 173, 413, 1023, 553, 409}},
-{349, 12, 167, {1, 3, 1, 7, 15, 29, 123, 95, 255, 373, 1799, 3841}},
-{350, 12, 171, {1, 3, 5, 13, 21, 57, 51, 17, 511, 195, 1157, 1831}},
-{351, 12, 176, {1, 1, 1, 15, 29, 19, 7, 73, 295, 519, 587, 3523}},
-{352, 12, 181, {1, 1, 5, 13, 13, 35, 115, 191, 123, 535, 717, 1661}},
-{353, 12, 194, {1, 3, 3, 5, 23, 21, 47, 251, 379, 921, 1119, 297}},
-{354, 12, 217, {1, 3, 3, 9, 29, 53, 121, 201, 135, 193, 523, 2943}},
-{355, 12, 236, {1, 1, 1, 7, 29, 45, 125, 9, 99, 867, 425, 601}},
-{356, 12, 239, {1, 3, 1, 9, 13, 15, 67, 181, 109, 293, 1305, 3079}},
-{357, 12, 262, {1, 3, 3, 9, 5, 35, 15, 209, 305, 87, 767, 2795}},
-{358, 12, 283, {1, 3, 3, 11, 27, 57, 113, 123, 179, 643, 149, 523}},
-{359, 12, 286, {1, 1, 3, 15, 11, 17, 67, 223, 63, 657, 335, 3309}},
-{360, 12, 307, {1, 1, 1, 9, 25, 29, 109, 159, 39, 513, 571, 1761}},
-{361, 12, 313, {1, 1, 3, 1, 5, 63, 75, 19, 455, 601, 123, 691}},
-{362, 12, 319, {1, 1, 1, 3, 21, 5, 45, 169, 377, 513, 1951, 2565}},
-{363, 12, 348, {1, 1, 3, 11, 3, 33, 119, 69, 253, 907, 805, 1449}},
-{364, 12, 352, {1, 1, 5, 13, 31, 15, 17, 7, 499, 61, 687, 1867}},
-{365, 12, 357, {1, 3, 7, 11, 17, 33, 73, 77, 299, 243, 641, 2345}},
-{366, 12, 391, {1, 1, 7, 11, 9, 35, 31, 235, 359, 647, 379, 1161}},
-{367, 12, 398, {1, 3, 3, 15, 31, 25, 5, 67, 33, 45, 437, 4067}},
-{368, 12, 400, {1, 1, 3, 11, 7, 17, 37, 87, 333, 253, 1517, 2921}},
-{369, 12, 412, {1, 1, 7, 15, 7, 15, 107, 189, 153, 769, 1521, 3427}},
-{370, 12, 415, {1, 3, 5, 13, 5, 61, 113, 37, 293, 393, 113, 43}},
-{371, 12, 422, {1, 1, 1, 15, 29, 43, 107, 31, 167, 147, 301, 1021}},
-{372, 12, 440, {1, 1, 1, 13, 3, 1, 35, 93, 195, 181, 2027, 1491}},
-{373, 12, 460, {1, 3, 3, 3, 13, 33, 77, 199, 153, 221, 1699, 3671}},
-{374, 12, 465, {1, 3, 5, 13, 7, 49, 123, 155, 495, 681, 819, 809}},
-{375, 12, 468, {1, 3, 5, 15, 27, 61, 117, 189, 183, 887, 617, 4053}},
-{376, 12, 515, {1, 1, 1, 7, 31, 59, 125, 235, 389, 369, 447, 1039}},
-{377, 12, 536, {1, 3, 5, 1, 5, 39, 115, 89, 249, 377, 431, 3747}},
-{378, 12, 539, {1, 1, 1, 5, 7, 47, 59, 157, 77, 445, 699, 3439}},
-{379, 12, 551, {1, 1, 3, 5, 11, 21, 19, 75, 11, 599, 1575, 735}},
-{380, 12, 558, {1, 3, 5, 3, 19, 13, 41, 69, 199, 143, 1761, 3215}},
-{381, 12, 563, {1, 3, 5, 7, 19, 43, 25, 41, 41, 11, 1647, 2783}},
-{382, 12, 570, {1, 3, 1, 9, 19, 45, 111, 97, 405, 399, 457, 3219}},
-{383, 12, 595, {1, 1, 3, 1, 23, 15, 65, 121, 59, 985, 829, 2259}},
-{384, 12, 598, {1, 1, 3, 7, 17, 13, 107, 229, 75, 551, 1299, 2363}},
-{385, 12, 617, {1, 1, 5, 5, 21, 57, 23, 199, 509, 139, 2007, 3875}},
-{386, 12, 647, {1, 3, 1, 11, 19, 53, 15, 229, 215, 741, 695, 823}},
-{387, 12, 654, {1, 3, 7, 1, 29, 3, 17, 163, 417, 559, 549, 319}},
-{388, 12, 678, {1, 3, 1, 13, 17, 9, 47, 133, 365, 7, 1937, 1071}},
-{389, 12, 713, {1, 3, 5, 7, 19, 37, 55, 163, 301, 249, 689, 2327}},
-{390, 12, 738, {1, 3, 5, 13, 11, 23, 61, 205, 257, 377, 615, 1457}},
-{391, 12, 747, {1, 3, 5, 1, 23, 37, 13, 75, 331, 495, 579, 3367}},
-{392, 12, 750, {1, 1, 1, 9, 1, 23, 49, 129, 475, 543, 883, 2531}},
-{393, 12, 757, {1, 3, 1, 5, 23, 59, 51, 35, 343, 695, 219, 369}},
-{394, 12, 772, {1, 3, 3, 1, 27, 17, 63, 97, 71, 507, 1929, 613}},
-{395, 12, 803, {1, 1, 5, 1, 21, 31, 11, 109, 247, 409, 1817, 2173}},
-{396, 12, 810, {1, 1, 3, 15, 23, 9, 7, 209, 301, 23, 147, 1691}},
-{397, 12, 812, {1, 1, 7, 5, 5, 19, 37, 229, 249, 277, 1115, 2309}},
-{398, 12, 850, {1, 1, 1, 5, 5, 63, 5, 249, 285, 431, 343, 2467}},
-{399, 12, 862, {1, 1, 1, 11, 7, 45, 35, 75, 505, 537, 29, 2919}},
-{400, 12, 906, {1, 3, 5, 15, 11, 39, 15, 63, 263, 9, 199, 445}},
-{401, 12, 908, {1, 3, 3, 3, 27, 63, 53, 171, 227, 63, 1049, 827}},
-{402, 12, 929, {1, 1, 3, 13, 7, 11, 115, 183, 179, 937, 1785, 381}},
-{403, 12, 930, {1, 3, 1, 11, 13, 15, 107, 81, 53, 295, 1785, 3757}},
-{404, 12, 954, {1, 3, 3, 13, 11, 5, 109, 243, 3, 505, 323, 1373}},
-{405, 12, 964, {1, 3, 3, 11, 21, 51, 17, 177, 381, 937, 1263, 3889}},
-{406, 12, 982, {1, 3, 5, 9, 27, 25, 85, 193, 143, 573, 1189, 2995}},
-{407, 12, 985, {1, 3, 5, 11, 13, 9, 81, 21, 159, 953, 91, 1751}},
-{408, 12, 991, {1, 1, 3, 3, 27, 61, 11, 253, 391, 333, 1105, 635}},
-{409, 12, 992, {1, 3, 3, 15, 9, 57, 95, 81, 419, 735, 251, 1141}},
-{410, 12, 1067, {1, 1, 5, 9, 31, 39, 59, 13, 319, 807, 1241, 2433}},
-{411, 12, 1070, {1, 3, 3, 5, 27, 13, 107, 141, 423, 937, 2027, 3233}},
-{412, 12, 1096, {1, 3, 3, 9, 9, 25, 125, 23, 443, 835, 1245, 847}},
-{413, 12, 1099, {1, 1, 7, 15, 17, 17, 83, 107, 411, 285, 847, 1571}},
-{414, 12, 1116, {1, 1, 3, 13, 29, 61, 37, 81, 349, 727, 1453, 1957}},
-{415, 12, 1143, {1, 3, 7, 11, 31, 13, 59, 77, 273, 591, 1265, 1533}},
-{416, 12, 1165, {1, 1, 7, 7, 13, 17, 25, 25, 187, 329, 347, 1473}},
-{417, 12, 1178, {1, 3, 7, 7, 5, 51, 37, 99, 221, 153, 503, 2583}},
-{418, 12, 1184, {1, 3, 1, 13, 19, 27, 11, 69, 181, 479, 1183, 3229}},
-{419, 12, 1202, {1, 3, 3, 13, 23, 21, 103, 147, 323, 909, 947, 315}},
-{420, 12, 1213, {1, 3, 1, 3, 23, 1, 31, 59, 93, 513, 45, 2271}},
-{421, 12, 1221, {1, 3, 5, 1, 7, 43, 109, 59, 231, 41, 1515, 2385}},
-{422, 12, 1240, {1, 3, 1, 5, 31, 57, 49, 223, 283, 1013, 11, 701}},
-{423, 12, 1246, {1, 1, 5, 1, 19, 53, 55, 31, 31, 299, 495, 693}},
-{424, 12, 1252, {1, 3, 3, 9, 5, 33, 77, 253, 427, 791, 731, 1019}},
-{425, 12, 1255, {1, 3, 7, 11, 1, 9, 119, 203, 53, 877, 1707, 3499}},
-{426, 12, 1267, {1, 1, 3, 7, 13, 39, 55, 159, 423, 113, 1653, 3455}},
-{427, 12, 1293, {1, 1, 3, 5, 21, 47, 51, 59, 55, 411, 931, 251}},
-{428, 12, 1301, {1, 3, 7, 3, 31, 25, 81, 115, 405, 239, 741, 455}},
-{429, 12, 1305, {1, 1, 5, 1, 31, 3, 101, 83, 479, 491, 1779, 2225}},
-{430, 12, 1332, {1, 3, 3, 3, 9, 37, 107, 161, 203, 503, 767, 3435}},
-{431, 12, 1349, {1, 3, 7, 9, 1, 27, 61, 119, 233, 39, 1375, 4089}},
-{432, 12, 1384, {1, 1, 5, 9, 1, 31, 45, 51, 369, 587, 383, 2813}},
-{433, 12, 1392, {1, 3, 7, 5, 31, 7, 49, 119, 487, 591, 1627, 53}},
-{434, 12, 1402, {1, 1, 7, 1, 9, 47, 1, 223, 369, 711, 1603, 1917}},
-{435, 12, 1413, {1, 3, 5, 3, 21, 37, 111, 17, 483, 739, 1193, 2775}},
-{436, 12, 1417, {1, 3, 3, 7, 17, 11, 51, 117, 455, 191, 1493, 3821}},
-{437, 12, 1423, {1, 1, 5, 9, 23, 39, 99, 181, 343, 485, 99, 1931}},
-{438, 12, 1451, {1, 3, 1, 7, 29, 49, 31, 71, 489, 527, 1763, 2909}},
-{439, 12, 1480, {1, 1, 5, 11, 5, 5, 73, 189, 321, 57, 1191, 3685}},
-{440, 12, 1491, {1, 1, 5, 15, 13, 45, 125, 207, 371, 415, 315, 983}},
-{441, 12, 1503, {1, 3, 3, 5, 25, 59, 33, 31, 239, 919, 1859, 2709}},
-{442, 12, 1504, {1, 3, 5, 13, 27, 61, 23, 115, 61, 413, 1275, 3559}},
-{443, 12, 1513, {1, 3, 7, 15, 5, 59, 101, 81, 47, 967, 809, 3189}},
-{444, 12, 1538, {1, 1, 5, 11, 31, 15, 39, 25, 173, 505, 809, 2677}},
-{445, 12, 1544, {1, 1, 5, 9, 19, 13, 95, 89, 511, 127, 1395, 2935}},
-{446, 12, 1547, {1, 1, 5, 5, 31, 45, 9, 57, 91, 303, 1295, 3215}},
-{447, 12, 1555, {1, 3, 3, 3, 19, 15, 113, 187, 217, 489, 1285, 1803}},
-{448, 12, 1574, {1, 1, 3, 1, 13, 29, 57, 139, 255, 197, 537, 2183}},
-{449, 12, 1603, {1, 3, 1, 15, 11, 7, 53, 255, 467, 9, 757, 3167}},
-{450, 12, 1615, {1, 3, 3, 15, 21, 13, 9, 189, 359, 323, 49, 333}},
-{451, 12, 1618, {1, 3, 7, 11, 7, 37, 21, 119, 401, 157, 1659, 1069}},
-{452, 12, 1629, {1, 1, 5, 7, 17, 33, 115, 229, 149, 151, 2027, 279}},
-{453, 12, 1634, {1, 1, 5, 15, 5, 49, 77, 155, 383, 385, 1985, 945}},
-{454, 12, 1636, {1, 3, 7, 3, 7, 55, 85, 41, 357, 527, 1715, 1619}},
-{455, 12, 1639, {1, 1, 3, 1, 21, 45, 115, 21, 199, 967, 1581, 3807}},
-{456, 12, 1657, {1, 1, 3, 7, 21, 39, 117, 191, 169, 73, 413, 3417}},
-{457, 12, 1667, {1, 1, 1, 13, 1, 31, 57, 195, 231, 321, 367, 1027}},
-{458, 12, 1681, {1, 3, 7, 3, 11, 29, 47, 161, 71, 419, 1721, 437}},
-{459, 12, 1697, {1, 1, 7, 3, 11, 9, 43, 65, 157, 1, 1851, 823}},
-{460, 12, 1704, {1, 1, 1, 5, 21, 15, 31, 101, 293, 299, 127, 1321}},
-{461, 12, 1709, {1, 1, 7, 1, 27, 1, 11, 229, 241, 705, 43, 1475}},
-{462, 12, 1722, {1, 3, 7, 1, 5, 15, 73, 183, 193, 55, 1345, 49}},
-{463, 12, 1730, {1, 3, 3, 3, 19, 3, 55, 21, 169, 663, 1675, 137}},
-{464, 12, 1732, {1, 1, 1, 13, 7, 21, 69, 67, 373, 965, 1273, 2279}},
-{465, 12, 1802, {1, 1, 7, 7, 21, 23, 17, 43, 341, 845, 465, 3355}},
-{466, 12, 1804, {1, 3, 5, 5, 25, 5, 81, 101, 233, 139, 359, 2057}},
-{467, 12, 1815, {1, 1, 3, 11, 15, 39, 55, 3, 471, 765, 1143, 3941}},
-{468, 12, 1826, {1, 1, 7, 15, 9, 57, 81, 79, 215, 433, 333, 3855}},
-{469, 12, 1832, {1, 1, 5, 5, 19, 45, 83, 31, 209, 363, 701, 1303}},
-{470, 12, 1843, {1, 3, 7, 5, 1, 13, 55, 163, 435, 807, 287, 2031}},
-{471, 12, 1849, {1, 3, 3, 7, 3, 3, 17, 197, 39, 169, 489, 1769}},
-{472, 12, 1863, {1, 1, 3, 5, 29, 43, 87, 161, 289, 339, 1233, 2353}},
-{473, 12, 1905, {1, 3, 3, 9, 21, 9, 77, 1, 453, 167, 1643, 2227}},
-{474, 12, 1928, {1, 1, 7, 1, 15, 7, 67, 33, 193, 241, 1031, 2339}},
-{475, 12, 1933, {1, 3, 1, 11, 1, 63, 45, 65, 265, 661, 849, 1979}},
-{476, 12, 1939, {1, 3, 1, 13, 19, 49, 3, 11, 159, 213, 659, 2839}},
-{477, 12, 1976, {1, 3, 5, 11, 9, 29, 27, 227, 253, 449, 1403, 3427}},
-{478, 12, 1996, {1, 1, 3, 1, 7, 3, 77, 143, 277, 779, 1499, 475}},
-{479, 12, 2013, {1, 1, 1, 5, 11, 23, 87, 131, 393, 849, 193, 3189}},
-{480, 12, 2014, {1, 3, 5, 11, 3, 3, 89, 9, 449, 243, 1501, 1739}},
-{481, 12, 2020, {1, 3, 1, 9, 29, 29, 113, 15, 65, 611, 135, 3687}},
-{482, 13, 13, {1, 1, 1, 9, 21, 19, 39, 151, 395, 501, 1339, 959, 2725}},
-{483, 13, 19, {1, 3, 7, 1, 7, 35, 45, 33, 119, 225, 1631, 1695, 1459}},
-{484, 13, 26, {1, 1, 1, 3, 25, 55, 37, 79, 167, 907, 1075, 271, 4059}},
-{485, 13, 41, {1, 3, 5, 13, 5, 13, 53, 165, 437, 67, 1705, 3177, 8095}},
-{486, 13, 50, {1, 3, 3, 13, 27, 57, 95, 55, 443, 245, 1945, 1725, 1929}},
-{487, 13, 55, {1, 3, 1, 9, 5, 33, 109, 35, 99, 827, 341, 2401, 2411}},
-{488, 13, 69, {1, 1, 5, 9, 7, 33, 43, 39, 87, 799, 635, 3481, 7159}},
-{489, 13, 70, {1, 3, 1, 1, 31, 15, 45, 27, 337, 113, 987, 2065, 2529}},
-{490, 13, 79, {1, 1, 5, 9, 5, 15, 105, 123, 479, 289, 1609, 2177, 4629}},
-{491, 13, 82, {1, 3, 5, 11, 31, 47, 97, 87, 385, 195, 1041, 651, 3271}},
-{492, 13, 87, {1, 1, 3, 7, 17, 3, 101, 55, 87, 629, 1687, 1387, 2745}},
-{493, 13, 93, {1, 3, 5, 5, 7, 21, 9, 237, 313, 549, 1107, 117, 6183}},
-{494, 13, 94, {1, 1, 3, 9, 9, 5, 55, 201, 487, 851, 1103, 2993, 4055}},
-{495, 13, 97, {1, 1, 5, 9, 31, 19, 59, 7, 363, 381, 1167, 2057, 5715}},
-{496, 13, 100, {1, 3, 3, 15, 23, 63, 19, 227, 387, 827, 487, 1049, 7471}},
-{497, 13, 112, {1, 3, 1, 5, 23, 25, 61, 245, 363, 863, 963, 3583, 6475}},
-{498, 13, 121, {1, 1, 5, 1, 5, 27, 81, 85, 275, 49, 235, 3291, 1195}},
-{499, 13, 134, {1, 1, 5, 7, 23, 53, 85, 107, 511, 779, 1265, 1093, 7859}},
-{500, 13, 138, {1, 3, 3, 1, 9, 21, 75, 219, 59, 485, 1739, 3845, 1109}},
-{501, 13, 148, {1, 3, 5, 1, 13, 41, 19, 143, 293, 391, 2023, 1791, 4399}},
-{502, 13, 151, {1, 3, 7, 15, 21, 13, 21, 195, 215, 413, 523, 2099, 2341}},
-{503, 13, 157, {1, 1, 1, 3, 29, 51, 47, 57, 135, 575, 943, 1673, 541}},
-{504, 13, 161, {1, 3, 5, 1, 9, 13, 113, 175, 447, 115, 657, 4077, 5973}},
-{505, 13, 179, {1, 1, 1, 11, 17, 41, 37, 95, 297, 579, 911, 2207, 2387}},
-{506, 13, 181, {1, 3, 5, 3, 23, 11, 23, 231, 93, 667, 711, 1563, 7961}},
-{507, 13, 188, {1, 1, 7, 3, 17, 59, 13, 181, 141, 991, 1817, 457, 1711}},
-{508, 13, 196, {1, 3, 3, 5, 31, 59, 81, 205, 245, 537, 1049, 997, 1815}},
-{509, 13, 203, {1, 3, 7, 5, 17, 13, 9, 79, 17, 185, 5, 2211, 6263}},
-{510, 13, 206, {1, 3, 7, 13, 7, 53, 61, 145, 13, 285, 1203, 947, 2933}},
-{511, 13, 223, {1, 1, 7, 3, 31, 19, 69, 217, 47, 441, 1893, 673, 4451}},
-{512, 13, 224, {1, 1, 1, 1, 25, 9, 23, 225, 385, 629, 603, 3747, 4241}},
-{513, 13, 227, {1, 3, 1, 9, 5, 37, 31, 237, 431, 79, 1521, 459, 2523}},
-{514, 13, 230, {1, 3, 7, 3, 9, 43, 105, 179, 5, 225, 799, 1777, 4893}},
-{515, 13, 239, {1, 1, 3, 1, 29, 45, 29, 159, 267, 247, 455, 847, 3909}},
-{516, 13, 241, {1, 1, 3, 7, 25, 21, 121, 57, 467, 275, 719, 1521, 7319}},
-{517, 13, 248, {1, 3, 1, 3, 11, 35, 119, 123, 81, 979, 1187, 3623, 4293}},
-{518, 13, 253, {1, 1, 1, 7, 15, 25, 121, 235, 25, 487, 873, 1787, 1977}},
-{519, 13, 268, {1, 1, 1, 11, 3, 7, 17, 135, 345, 353, 383, 4011, 2573}},
-{520, 13, 274, {1, 3, 7, 15, 27, 13, 97, 123, 65, 675, 951, 1285, 6559}},
-{521, 13, 283, {1, 3, 7, 3, 7, 1, 71, 19, 325, 765, 337, 1197, 2697}},
-{522, 13, 286, {1, 3, 5, 1, 31, 37, 11, 71, 169, 283, 83, 3801, 7083}},
-{523, 13, 289, {1, 1, 3, 15, 17, 29, 83, 65, 275, 679, 1749, 4007, 7749}},
-{524, 13, 301, {1, 1, 3, 1, 21, 11, 41, 95, 237, 361, 1819, 2783, 2383}},
-{525, 13, 302, {1, 3, 7, 11, 29, 57, 111, 187, 465, 145, 605, 1987, 8109}},
-{526, 13, 316, {1, 1, 3, 3, 19, 15, 55, 83, 357, 1001, 643, 1517, 6529}},
-{527, 13, 319, {1, 3, 1, 5, 29, 35, 73, 23, 77, 619, 1523, 1725, 8145}},
-{528, 13, 324, {1, 1, 5, 5, 19, 23, 7, 197, 449, 337, 717, 2921, 315}},
-{529, 13, 331, {1, 3, 5, 9, 7, 63, 117, 97, 97, 813, 1925, 2817, 1579}},
-{530, 13, 333, {1, 1, 1, 11, 31, 7, 25, 235, 231, 133, 1007, 1371, 1553}},
-{531, 13, 345, {1, 1, 7, 5, 19, 7, 47, 171, 267, 243, 1331, 567, 6033}},
-{532, 13, 351, {1, 1, 5, 1, 7, 49, 55, 89, 109, 735, 1455, 3193, 6239}},
-{533, 13, 358, {1, 1, 1, 7, 1, 61, 9, 103, 3, 929, 1481, 2927, 2957}},
-{534, 13, 375, {1, 1, 5, 13, 17, 21, 75, 49, 255, 1019, 1161, 2133, 1177}},
-{535, 13, 379, {1, 3, 1, 3, 13, 15, 41, 247, 211, 409, 1163, 523, 2635}},
-{536, 13, 381, {1, 3, 7, 7, 21, 59, 91, 149, 479, 391, 681, 2311, 6249}},
-{537, 13, 386, {1, 1, 5, 11, 27, 53, 21, 211, 197, 815, 719, 1605, 255}},
-{538, 13, 403, {1, 1, 3, 3, 9, 33, 59, 3, 323, 1, 101, 1135, 8105}},
-{539, 13, 405, {1, 3, 3, 1, 29, 5, 17, 141, 51, 991, 841, 327, 3859}},
-{540, 13, 419, {1, 3, 1, 5, 11, 19, 23, 89, 175, 173, 165, 2881, 1881}},
-{541, 13, 426, {1, 1, 1, 15, 13, 51, 87, 39, 495, 611, 1341, 1531, 7029}},
-{542, 13, 428, {1, 1, 3, 11, 13, 55, 75, 185, 57, 61, 1917, 2051, 5965}},
-{543, 13, 439, {1, 1, 5, 5, 7, 53, 11, 217, 213, 933, 921, 3607, 5175}},
-{544, 13, 440, {1, 3, 3, 5, 17, 53, 103, 251, 369, 781, 1319, 3717, 4439}},
-{545, 13, 446, {1, 3, 5, 13, 1, 39, 25, 235, 321, 773, 251, 3111, 6397}},
-{546, 13, 451, {1, 1, 7, 3, 31, 5, 25, 29, 325, 385, 1313, 127, 4705}},
-{547, 13, 454, {1, 1, 5, 15, 15, 27, 15, 85, 239, 243, 1633, 3473, 2621}},
-{548, 13, 458, {1, 3, 3, 3, 9, 19, 113, 13, 137, 165, 25, 2957, 7549}},
-{549, 13, 465, {1, 3, 1, 3, 11, 21, 3, 97, 417, 183, 1205, 1437, 247}},
-{550, 13, 468, {1, 1, 7, 3, 17, 21, 125, 55, 67, 387, 385, 2323, 887}},
-{551, 13, 472, {1, 3, 5, 5, 29, 11, 103, 223, 233, 641, 133, 415, 1297}},
-{552, 13, 475, {1, 3, 3, 11, 1, 9, 5, 189, 235, 1007, 1363, 3985, 889}},
-{553, 13, 477, {1, 3, 7, 9, 23, 19, 19, 183, 269, 403, 1643, 3559, 5189}},
-{554, 13, 496, {1, 3, 7, 3, 29, 45, 17, 69, 475, 149, 1291, 2689, 7625}},
-{555, 13, 502, {1, 3, 7, 3, 27, 37, 41, 73, 253, 1001, 431, 1111, 7887}},
-{556, 13, 508, {1, 1, 7, 5, 3, 7, 87, 143, 289, 495, 631, 3011, 6151}},
-{557, 13, 517, {1, 1, 1, 13, 5, 45, 17, 167, 23, 975, 801, 1975, 6833}},
-{558, 13, 521, {1, 3, 1, 11, 7, 21, 39, 23, 213, 429, 1301, 2059, 197}},
-{559, 13, 527, {1, 3, 3, 15, 3, 57, 121, 133, 29, 711, 1961, 2497, 189}},
-{560, 13, 530, {1, 1, 3, 5, 11, 55, 115, 137, 233, 673, 985, 2849, 5911}},
-{561, 13, 532, {1, 1, 7, 15, 29, 45, 1, 241, 329, 323, 925, 2821, 3331}},
-{562, 13, 542, {1, 1, 5, 7, 13, 31, 81, 105, 199, 145, 195, 1365, 5119}},
-{563, 13, 552, {1, 3, 7, 11, 3, 55, 11, 31, 117, 343, 1265, 1837, 2451}},
-{564, 13, 555, {1, 1, 3, 7, 29, 57, 61, 179, 429, 591, 177, 1945, 2159}},
-{565, 13, 560, {1, 3, 5, 11, 23, 49, 101, 137, 339, 323, 1035, 1749, 7737}},
-{566, 13, 566, {1, 3, 1, 13, 21, 35, 55, 79, 19, 269, 1055, 2651, 7083}},
-{567, 13, 575, {1, 3, 3, 11, 9, 9, 95, 167, 437, 361, 1185, 4083, 603}},
-{568, 13, 577, {1, 1, 1, 7, 31, 61, 77, 65, 489, 657, 691, 2423, 4147}},
-{569, 13, 589, {1, 3, 5, 7, 21, 37, 87, 191, 311, 453, 2013, 829, 2619}},
-{570, 13, 590, {1, 1, 5, 9, 17, 47, 35, 101, 5, 813, 1157, 1279, 7365}},
-{571, 13, 602, {1, 1, 5, 3, 11, 35, 113, 199, 369, 721, 901, 1471, 7801}},
-{572, 13, 607, {1, 3, 1, 5, 9, 61, 83, 157, 391, 739, 1957, 2123, 4341}},
-{573, 13, 608, {1, 3, 5, 11, 19, 19, 111, 225, 383, 219, 997, 717, 7505}},
-{574, 13, 611, {1, 3, 1, 11, 13, 63, 35, 127, 209, 831, 501, 3017, 3507}},
-{575, 13, 613, {1, 3, 7, 9, 29, 7, 11, 163, 81, 563, 1445, 3215, 6377}},
-{576, 13, 625, {1, 3, 7, 11, 25, 3, 39, 195, 491, 45, 839, 4021, 4899}},
-{577, 13, 644, {1, 3, 7, 15, 13, 5, 67, 143, 117, 505, 1281, 3679, 5695}},
-{578, 13, 651, {1, 3, 7, 9, 9, 19, 21, 221, 147, 763, 683, 2211, 589}},
-{579, 13, 654, {1, 1, 3, 5, 21, 47, 53, 109, 299, 807, 1153, 1209, 7961}},
-{580, 13, 656, {1, 3, 7, 11, 9, 31, 45, 43, 505, 647, 1127, 2681, 4917}},
-{581, 13, 662, {1, 1, 5, 15, 31, 41, 63, 113, 399, 727, 673, 2587, 5259}},
-{582, 13, 668, {1, 1, 1, 13, 17, 53, 35, 99, 57, 243, 1447, 1919, 2831}},
-{583, 13, 681, {1, 3, 7, 11, 23, 51, 13, 9, 49, 449, 997, 3073, 4407}},
-{584, 13, 682, {1, 3, 5, 7, 23, 33, 89, 41, 415, 53, 697, 1113, 1489}},
-{585, 13, 689, {1, 1, 3, 7, 1, 13, 29, 13, 255, 749, 77, 3463, 1761}},
-{586, 13, 696, {1, 3, 3, 7, 13, 15, 93, 191, 309, 869, 739, 1041, 3053}},
-{587, 13, 699, {1, 3, 5, 13, 5, 19, 109, 211, 347, 839, 893, 2947, 7735}},
-{588, 13, 707, {1, 3, 1, 13, 27, 3, 119, 157, 485, 99, 1703, 3895, 573}},
-{589, 13, 709, {1, 3, 7, 11, 1, 23, 123, 105, 31, 359, 275, 1775, 3685}},
-{590, 13, 714, {1, 3, 3, 5, 27, 11, 125, 3, 413, 199, 2043, 2895, 2945}},
-{591, 13, 716, {1, 3, 3, 3, 15, 49, 121, 159, 233, 543, 193, 4007, 321}},
-{592, 13, 719, {1, 1, 3, 5, 9, 47, 87, 1, 51, 1011, 1595, 2239, 6467}},
-{593, 13, 727, {1, 3, 7, 9, 1, 33, 87, 137, 469, 749, 1413, 805, 6817}},
-{594, 13, 734, {1, 3, 1, 13, 19, 45, 95, 227, 29, 677, 1275, 3395, 4451}},
-{595, 13, 738, {1, 1, 7, 5, 7, 63, 33, 71, 443, 561, 1311, 3069, 6943}},
-{596, 13, 743, {1, 1, 1, 13, 9, 37, 23, 69, 13, 415, 1479, 1197, 861}},
-{597, 13, 747, {1, 3, 3, 13, 27, 21, 13, 233, 105, 777, 345, 2443, 1105}},
-{598, 13, 757, {1, 1, 7, 11, 23, 13, 21, 147, 221, 549, 73, 2729, 6279}},
-{599, 13, 769, {1, 1, 7, 7, 25, 27, 15, 45, 227, 39, 75, 1191, 3563}},
-{600, 13, 770, {1, 1, 5, 7, 13, 49, 99, 167, 227, 13, 353, 1047, 8075}},
-{601, 13, 776, {1, 1, 3, 13, 31, 9, 27, 7, 461, 737, 1559, 3243, 53}},
-{602, 13, 790, {1, 3, 1, 1, 21, 41, 97, 165, 171, 821, 587, 2137, 2293}},
-{603, 13, 799, {1, 3, 1, 11, 17, 41, 29, 187, 87, 599, 1467, 1395, 5931}},
-{604, 13, 805, {1, 1, 1, 9, 9, 49, 89, 205, 409, 453, 61, 1923, 1257}},
-{605, 13, 809, {1, 3, 7, 3, 9, 43, 89, 143, 431, 83, 1243, 1795, 3599}},
-{606, 13, 812, {1, 3, 5, 13, 3, 25, 59, 219, 43, 223, 797, 2651, 6015}},
-{607, 13, 820, {1, 1, 5, 15, 7, 55, 65, 207, 213, 311, 1287, 1269, 6467}},
-{608, 13, 827, {1, 3, 7, 11, 21, 57, 31, 183, 351, 857, 911, 1683, 7155}},
-{609, 13, 829, {1, 3, 5, 11, 27, 1, 21, 47, 387, 383, 1593, 115, 3805}},
-{610, 13, 835, {1, 3, 1, 1, 13, 23, 87, 173, 181, 619, 1653, 3931, 6073}},
-{611, 13, 841, {1, 1, 7, 5, 17, 43, 37, 61, 307, 621, 1785, 55, 115}},
-{612, 13, 844, {1, 3, 7, 15, 25, 61, 123, 15, 237, 671, 1473, 467, 1907}},
-{613, 13, 856, {1, 1, 7, 5, 29, 57, 75, 237, 85, 699, 159, 3577, 4771}},
-{614, 13, 859, {1, 1, 1, 11, 25, 19, 51, 1, 147, 31, 895, 2617, 625}},
-{615, 13, 862, {1, 3, 7, 5, 29, 15, 115, 175, 395, 391, 1141, 1827, 1181}},
-{616, 13, 865, {1, 3, 5, 7, 17, 7, 11, 193, 89, 243, 561, 3787, 4551}},
-{617, 13, 885, {1, 3, 1, 11, 7, 57, 7, 125, 403, 947, 1261, 409, 8083}},
-{618, 13, 890, {1, 1, 5, 13, 21, 63, 115, 233, 231, 921, 1747, 3635, 2519}},
-{619, 13, 905, {1, 1, 5, 11, 3, 27, 15, 91, 505, 591, 1451, 3881, 2997}},
-{620, 13, 916, {1, 1, 3, 11, 21, 9, 109, 153, 317, 533, 593, 3967, 2797}},
-{621, 13, 925, {1, 3, 3, 13, 9, 57, 121, 245, 219, 867, 967, 791, 7095}},
-{622, 13, 935, {1, 1, 1, 9, 29, 21, 99, 35, 375, 959, 329, 4087, 7171}},
-{623, 13, 939, {1, 1, 1, 9, 11, 17, 17, 97, 89, 135, 631, 3809, 3253}},
-{624, 13, 942, {1, 1, 1, 15, 21, 51, 91, 249, 459, 801, 757, 2353, 2033}},
-{625, 13, 949, {1, 3, 5, 9, 23, 29, 77, 53, 399, 767, 1817, 2171, 1629}},
-{626, 13, 953, {1, 1, 3, 5, 29, 5, 43, 121, 17, 859, 1479, 3785, 6641}},
-{627, 13, 956, {1, 1, 3, 7, 7, 61, 45, 109, 371, 833, 91, 153, 4553}},
-{628, 13, 961, {1, 1, 3, 11, 7, 55, 81, 123, 389, 139, 1933, 891, 1789}},
-{629, 13, 968, {1, 3, 7, 15, 25, 17, 93, 165, 503, 717, 1553, 1475, 1627}},
-{630, 13, 976, {1, 1, 1, 13, 13, 63, 13, 225, 357, 571, 33, 4073, 3795}},
-{631, 13, 988, {1, 1, 3, 11, 1, 31, 107, 145, 407, 961, 501, 2987, 103}},
-{632, 13, 995, {1, 1, 7, 1, 23, 63, 49, 193, 173, 281, 25, 2465, 5927}},
-{633, 13, 997, {1, 1, 7, 1, 1, 1, 85, 77, 273, 693, 349, 1239, 4503}},
-{634, 13, 1007, {1, 1, 5, 11, 7, 61, 9, 121, 25, 357, 1443, 405, 7827}},
-{635, 13, 1015, {1, 1, 7, 13, 11, 53, 11, 207, 145, 211, 1703, 1081, 2117}},
-{636, 13, 1016, {1, 1, 3, 11, 27, 23, 19, 9, 297, 279, 1481, 2273, 6387}},
-{637, 13, 1027, {1, 3, 3, 5, 15, 45, 3, 41, 305, 87, 1815, 3461, 5349}},
-{638, 13, 1036, {1, 3, 3, 13, 9, 37, 79, 125, 259, 561, 1087, 4091, 793}},
-{639, 13, 1039, {1, 3, 5, 7, 31, 55, 7, 145, 347, 929, 589, 2783, 5905}},
-{640, 13, 1041, {1, 1, 7, 15, 3, 25, 1, 181, 13, 243, 653, 2235, 7445}},
-{641, 13, 1048, {1, 3, 5, 5, 17, 53, 65, 7, 33, 583, 1363, 1313, 2319}},
-{642, 13, 1053, {1, 3, 3, 7, 27, 47, 97, 201, 187, 321, 63, 1515, 7917}},
-{643, 13, 1054, {1, 1, 3, 5, 23, 9, 3, 165, 61, 19, 1789, 3783, 3037}},
-{644, 13, 1058, {1, 3, 1, 13, 15, 43, 125, 191, 67, 273, 1551, 2227, 5253}},
-{645, 13, 1075, {1, 1, 1, 13, 25, 53, 107, 33, 299, 249, 1475, 2233, 907}},
-{646, 13, 1082, {1, 3, 5, 1, 23, 37, 85, 17, 207, 643, 665, 2933, 5199}},
-{647, 13, 1090, {1, 1, 7, 7, 25, 57, 59, 41, 15, 751, 751, 1749, 7053}},
-{648, 13, 1109, {1, 3, 3, 1, 13, 25, 127, 93, 281, 613, 875, 2223, 6345}},
-{649, 13, 1110, {1, 1, 5, 3, 29, 55, 79, 249, 43, 317, 533, 995, 1991}},
-{650, 13, 1119, {1, 3, 3, 15, 17, 49, 79, 31, 193, 233, 1437, 2615, 819}},
-{651, 13, 1126, {1, 1, 5, 15, 25, 3, 123, 145, 377, 9, 455, 1191, 3953}},
-{652, 13, 1130, {1, 3, 5, 3, 15, 19, 41, 231, 81, 393, 3, 19, 2409}},
-{653, 13, 1135, {1, 1, 3, 1, 27, 43, 113, 179, 7, 853, 947, 2731, 297}},
-{654, 13, 1137, {1, 1, 1, 11, 29, 39, 53, 191, 443, 689, 529, 3329, 7431}},
-{655, 13, 1140, {1, 3, 7, 5, 3, 29, 19, 67, 441, 113, 949, 2769, 4169}},
-{656, 13, 1149, {1, 3, 5, 11, 11, 55, 85, 169, 215, 815, 803, 2345, 3967}},
-{657, 13, 1156, {1, 1, 7, 9, 5, 45, 111, 5, 419, 375, 303, 1725, 4489}},
-{658, 13, 1159, {1, 3, 5, 15, 29, 43, 79, 19, 23, 417, 381, 541, 4923}},
-{659, 13, 1160, {1, 1, 3, 15, 3, 31, 117, 39, 117, 305, 1227, 1223, 143}},
-{660, 13, 1165, {1, 1, 5, 9, 5, 47, 87, 239, 181, 353, 1561, 3313, 1921}},
-{661, 13, 1173, {1, 3, 3, 1, 3, 15, 53, 221, 441, 987, 1997, 2529, 8059}},
-{662, 13, 1178, {1, 1, 7, 11, 15, 57, 111, 139, 137, 883, 1881, 2823, 5661}},
-{663, 13, 1183, {1, 3, 5, 5, 21, 11, 5, 13, 27, 973, 587, 1331, 1373}},
-{664, 13, 1184, {1, 1, 7, 11, 29, 51, 93, 29, 217, 221, 55, 2477, 1979}},
-{665, 13, 1189, {1, 3, 3, 13, 3, 11, 49, 75, 379, 371, 1441, 793, 7633}},
-{666, 13, 1194, {1, 1, 1, 13, 19, 45, 89, 249, 91, 649, 1695, 915, 5619}},
-{667, 13, 1211, {1, 3, 1, 7, 7, 29, 1, 77, 313, 895, 519, 771, 295}},
-{668, 13, 1214, {1, 3, 1, 15, 5, 3, 1, 57, 331, 109, 485, 2853, 6831}},
-{669, 13, 1216, {1, 1, 1, 15, 17, 3, 35, 99, 245, 971, 839, 2509, 2803}},
-{670, 13, 1225, {1, 3, 3, 3, 9, 37, 57, 251, 325, 317, 529, 1313, 6379}},
-{671, 13, 1231, {1, 1, 1, 15, 25, 59, 1, 119, 95, 15, 795, 2375, 6463}},
-{672, 13, 1239, {1, 3, 1, 5, 1, 49, 117, 21, 47, 179, 863, 85, 1669}},
-{673, 13, 1243, {1, 3, 7, 3, 9, 37, 19, 221, 455, 973, 571, 1427, 817}},
-{674, 13, 1246, {1, 1, 1, 15, 17, 9, 67, 213, 127, 887, 1299, 2913, 7451}},
-{675, 13, 1249, {1, 3, 1, 13, 27, 27, 41, 43, 171, 623, 691, 391, 4885}},
-{676, 13, 1259, {1, 3, 1, 13, 17, 17, 123, 239, 143, 227, 1151, 519, 6543}},
-{677, 13, 1273, {1, 3, 7, 5, 7, 63, 97, 39, 101, 555, 1057, 381, 7891}},
-{678, 13, 1274, {1, 3, 5, 1, 3, 27, 85, 129, 161, 875, 1945, 3541, 695}},
-{679, 13, 1281, {1, 3, 3, 5, 21, 59, 25, 183, 35, 25, 987, 1459, 181}},
-{680, 13, 1287, {1, 3, 5, 13, 1, 15, 127, 237, 349, 337, 1491, 2383, 7811}},
-{681, 13, 1294, {1, 3, 5, 5, 31, 5, 109, 51, 409, 733, 1395, 3207, 6049}},
-{682, 13, 1296, {1, 1, 5, 7, 13, 35, 113, 25, 263, 389, 299, 2521, 1783}},
-{683, 13, 1305, {1, 3, 7, 11, 15, 47, 97, 73, 55, 75, 113, 2695, 1023}},
-{684, 13, 1306, {1, 3, 1, 1, 3, 13, 69, 211, 289, 483, 1335, 787, 677}},
-{685, 13, 1318, {1, 1, 3, 3, 17, 7, 37, 77, 505, 137, 1113, 345, 2975}},
-{686, 13, 1332, {1, 1, 1, 13, 3, 11, 95, 199, 453, 109, 479, 3725, 239}},
-{687, 13, 1335, {1, 1, 7, 15, 19, 53, 3, 145, 359, 863, 347, 3833, 3043}},
-{688, 13, 1336, {1, 1, 7, 15, 25, 63, 127, 129, 125, 195, 155, 2211, 8153}},
-{689, 13, 1341, {1, 1, 7, 13, 9, 49, 121, 115, 73, 119, 1851, 727, 47}},
-{690, 13, 1342, {1, 3, 3, 13, 13, 11, 71, 7, 45, 591, 133, 2407, 5563}},
-{691, 13, 1362, {1, 1, 1, 13, 23, 29, 87, 89, 501, 71, 1759, 1119, 687}},
-{692, 13, 1364, {1, 1, 7, 7, 13, 7, 13, 183, 53, 951, 1877, 3991, 6771}},
-{693, 13, 1368, {1, 3, 7, 11, 7, 1, 27, 47, 61, 21, 919, 961, 1091}},
-{694, 13, 1378, {1, 3, 5, 5, 1, 27, 1, 5, 63, 157, 1297, 1049, 5893}},
-{695, 13, 1387, {1, 3, 7, 9, 19, 33, 17, 133, 425, 797, 1721, 153, 119}},
-{696, 13, 1389, {1, 3, 3, 7, 13, 37, 1, 215, 509, 1003, 61, 2353, 7511}},
-{697, 13, 1397, {1, 1, 7, 1, 29, 19, 31, 79, 199, 555, 1209, 1603, 6089}},
-{698, 13, 1401, {1, 3, 1, 1, 5, 31, 111, 127, 333, 429, 1863, 3925, 5411}},
-{699, 13, 1408, {1, 1, 7, 5, 5, 5, 123, 191, 47, 993, 269, 4051, 2111}},
-{700, 13, 1418, {1, 1, 5, 15, 1, 9, 87, 5, 47, 463, 865, 1813, 7357}},
-{701, 13, 1425, {1, 3, 1, 3, 23, 63, 123, 83, 511, 777, 63, 1285, 4537}},
-{702, 13, 1426, {1, 3, 3, 7, 27, 25, 31, 65, 441, 529, 1815, 1893, 323}},
-{703, 13, 1431, {1, 3, 7, 5, 11, 19, 7, 5, 397, 811, 755, 2883, 4217}},
-{704, 13, 1435, {1, 3, 1, 13, 9, 21, 13, 7, 271, 539, 1769, 3243, 5325}},
-{705, 13, 1441, {1, 1, 7, 1, 31, 13, 47, 131, 181, 457, 1559, 2663, 6653}},
-{706, 13, 1444, {1, 3, 3, 7, 29, 55, 25, 203, 419, 91, 437, 1159, 5691}},
-{707, 13, 1462, {1, 1, 3, 13, 29, 19, 71, 217, 337, 329, 501, 939, 2205}},
-{708, 13, 1471, {1, 1, 3, 1, 1, 27, 17, 201, 97, 285, 1269, 4043, 2207}},
-{709, 13, 1474, {1, 1, 1, 1, 3, 41, 13, 199, 141, 129, 1515, 3129, 5969}},
-{710, 13, 1483, {1, 3, 3, 9, 3, 17, 119, 41, 271, 933, 877, 701, 2197}},
-{711, 13, 1485, {1, 1, 1, 7, 15, 47, 3, 195, 115, 821, 725, 843, 6071}},
-{712, 13, 1494, {1, 3, 5, 15, 17, 33, 85, 65, 297, 571, 1123, 2743, 5727}},
-{713, 13, 1497, {1, 1, 5, 11, 27, 15, 37, 235, 415, 293, 1439, 2739, 4171}},
-{714, 13, 1516, {1, 3, 7, 7, 1, 55, 71, 35, 307, 11, 401, 1881, 933}},
-{715, 13, 1522, {1, 3, 1, 11, 21, 37, 3, 177, 119, 339, 559, 3991, 3437}},
-{716, 13, 1534, {1, 3, 3, 9, 17, 17, 97, 119, 301, 169, 157, 3267, 2261}},
-{717, 13, 1543, {1, 3, 3, 9, 29, 3, 111, 101, 355, 869, 375, 2609, 7377}},
-{718, 13, 1552, {1, 3, 5, 9, 7, 21, 123, 99, 343, 693, 1927, 1605, 4923}},
-{719, 13, 1557, {1, 1, 3, 5, 13, 31, 99, 17, 75, 385, 1539, 1553, 7077}},
-{720, 13, 1558, {1, 3, 3, 5, 31, 35, 107, 11, 407, 1019, 1317, 3593, 7203}},
-{721, 13, 1567, {1, 3, 3, 13, 17, 33, 99, 245, 401, 957, 157, 1949, 1571}},
-{722, 13, 1568, {1, 3, 1, 11, 27, 15, 11, 109, 429, 307, 1911, 2701, 861}},
-{723, 13, 1574, {1, 1, 5, 13, 13, 35, 55, 255, 311, 957, 1803, 2673, 5195}},
-{724, 13, 1592, {1, 1, 1, 11, 19, 3, 89, 37, 211, 783, 1355, 3567, 7135}},
-{725, 13, 1605, {1, 1, 5, 5, 21, 49, 79, 17, 509, 331, 183, 3831, 855}},
-{726, 13, 1606, {1, 3, 7, 5, 29, 19, 85, 109, 105, 523, 845, 3385, 7477}},
-{727, 13, 1610, {1, 1, 1, 7, 25, 17, 125, 131, 53, 757, 253, 2989, 2939}},
-{728, 13, 1617, {1, 3, 3, 9, 19, 23, 105, 39, 351, 677, 211, 401, 8103}},
-{729, 13, 1623, {1, 3, 5, 1, 5, 11, 17, 3, 405, 469, 1569, 2865, 3133}},
-{730, 13, 1630, {1, 1, 3, 13, 15, 5, 117, 179, 139, 145, 477, 1137, 2537}},
-{731, 13, 1634, {1, 1, 7, 9, 5, 21, 9, 93, 211, 963, 1207, 3343, 4911}},
-{732, 13, 1640, {1, 1, 1, 9, 13, 43, 17, 53, 81, 793, 1571, 2523, 3683}},
-{733, 13, 1643, {1, 3, 3, 13, 25, 21, 5, 59, 489, 987, 1941, 171, 6009}},
-{734, 13, 1648, {1, 3, 3, 7, 1, 39, 89, 171, 403, 467, 1767, 3423, 2791}},
-{735, 13, 1651, {1, 1, 3, 9, 19, 49, 91, 125, 163, 1013, 89, 2849, 6785}},
-{736, 13, 1653, {1, 1, 5, 9, 9, 11, 15, 241, 43, 297, 1719, 1541, 1821}},
-{737, 13, 1670, {1, 3, 7, 15, 29, 23, 103, 239, 191, 33, 1043, 3649, 6579}},
-{738, 13, 1676, {1, 3, 3, 9, 21, 51, 123, 55, 223, 645, 1463, 4021, 5891}},
-{739, 13, 1684, {1, 1, 5, 7, 3, 41, 27, 235, 391, 303, 2021, 3187, 7607}},
-{740, 13, 1687, {1, 1, 1, 9, 5, 49, 49, 29, 377, 251, 1887, 1017, 1301}},
-{741, 13, 1691, {1, 1, 3, 3, 13, 41, 27, 47, 223, 23, 517, 3227, 6731}},
-{742, 13, 1693, {1, 1, 7, 1, 31, 25, 47, 9, 511, 623, 2047, 1263, 1511}},
-{743, 13, 1698, {1, 1, 3, 15, 15, 23, 53, 1, 261, 595, 85, 241, 7047}},
-{744, 13, 1709, {1, 3, 3, 11, 17, 5, 81, 73, 149, 781, 2035, 3163, 4247}},
-{745, 13, 1715, {1, 3, 7, 7, 29, 59, 49, 79, 397, 901, 1105, 2191, 6277}},
-{746, 13, 1722, {1, 3, 3, 11, 13, 27, 25, 173, 107, 73, 1265, 585, 5251}},
-{747, 13, 1732, {1, 1, 7, 15, 29, 23, 73, 229, 235, 887, 1469, 4073, 2591}},
-{748, 13, 1735, {1, 1, 3, 9, 17, 15, 83, 173, 207, 879, 1701, 1509, 11}},
-{749, 13, 1747, {1, 1, 3, 5, 5, 37, 65, 161, 39, 421, 1153, 2007, 5355}},
-{750, 13, 1749, {1, 1, 7, 11, 23, 37, 5, 11, 9, 499, 17, 157, 5747}},
-{751, 13, 1754, {1, 3, 7, 13, 25, 9, 49, 7, 39, 945, 1349, 1759, 1441}},
-{752, 13, 1777, {1, 1, 5, 3, 21, 15, 113, 81, 265, 837, 333, 3625, 6133}},
-{753, 13, 1784, {1, 3, 1, 11, 13, 27, 73, 109, 297, 327, 299, 3253, 6957}},
-{754, 13, 1790, {1, 1, 3, 13, 19, 39, 123, 73, 65, 5, 1061, 2187, 5055}},
-{755, 13, 1795, {1, 1, 3, 1, 11, 31, 21, 115, 453, 857, 711, 495, 549}},
-{756, 13, 1801, {1, 3, 7, 7, 15, 29, 79, 103, 47, 713, 1735, 3121, 6321}},
-{757, 13, 1802, {1, 1, 5, 5, 29, 9, 97, 33, 471, 705, 329, 1501, 1349}},
-{758, 13, 1812, {1, 3, 3, 1, 21, 9, 111, 209, 71, 47, 491, 2143, 1797}},
-{759, 13, 1828, {1, 3, 3, 3, 11, 39, 21, 135, 445, 259, 607, 3811, 5449}},
-{760, 13, 1831, {1, 1, 7, 9, 11, 25, 113, 251, 395, 317, 317, 91, 1979}},
-{761, 13, 1837, {1, 3, 1, 9, 3, 21, 103, 133, 389, 943, 1235, 1749, 7063}},
-{762, 13, 1838, {1, 1, 3, 7, 1, 11, 5, 15, 497, 477, 479, 3079, 6969}},
-{763, 13, 1840, {1, 1, 3, 3, 15, 39, 105, 131, 475, 465, 181, 865, 3813}},
-{764, 13, 1845, {1, 1, 7, 9, 19, 63, 123, 131, 415, 525, 457, 2471, 3135}},
-{765, 13, 1863, {1, 3, 7, 15, 25, 35, 123, 45, 341, 805, 485, 4049, 7065}},
-{766, 13, 1864, {1, 1, 1, 5, 29, 9, 47, 227, 51, 867, 1873, 1593, 2271}},
-{767, 13, 1867, {1, 1, 7, 15, 31, 9, 71, 117, 285, 711, 837, 1435, 6275}},
-{768, 13, 1870, {1, 3, 1, 1, 5, 19, 79, 25, 301, 415, 1871, 645, 3251}},
-{769, 13, 1877, {1, 3, 1, 3, 17, 51, 99, 185, 447, 43, 523, 219, 429}},
-{770, 13, 1881, {1, 3, 1, 13, 29, 13, 51, 93, 7, 995, 757, 3017, 6865}},
-{771, 13, 1884, {1, 1, 3, 15, 7, 25, 75, 17, 155, 981, 1231, 1229, 1995}},
-{772, 13, 1903, {1, 3, 5, 3, 27, 45, 71, 73, 225, 763, 377, 1139, 2863}},
-{773, 13, 1917, {1, 1, 3, 1, 1, 39, 69, 113, 29, 371, 1051, 793, 3749}},
-{774, 13, 1918, {1, 1, 3, 13, 23, 61, 27, 183, 307, 431, 1345, 2757, 4031}},
-{775, 13, 1922, {1, 3, 7, 5, 5, 59, 117, 197, 303, 721, 877, 723, 1601}},
-{776, 13, 1924, {1, 3, 5, 1, 27, 33, 99, 237, 485, 711, 665, 3077, 5105}},
-{777, 13, 1928, {1, 1, 3, 1, 13, 9, 103, 201, 23, 951, 2029, 165, 2093}},
-{778, 13, 1931, {1, 3, 5, 13, 5, 29, 55, 85, 221, 677, 611, 3613, 4567}},
-{779, 13, 1951, {1, 1, 1, 1, 7, 61, 9, 233, 261, 561, 953, 4023, 2443}},
-{780, 13, 1952, {1, 3, 3, 13, 1, 17, 103, 71, 223, 213, 833, 1747, 6999}},
-{781, 13, 1957, {1, 3, 5, 15, 25, 53, 57, 187, 25, 695, 1207, 4089, 2877}},
-{782, 13, 1958, {1, 1, 7, 1, 7, 31, 87, 129, 493, 519, 1555, 1155, 4637}},
-{783, 13, 1964, {1, 1, 1, 15, 21, 17, 23, 29, 19, 255, 927, 1791, 3093}},
-{784, 13, 1967, {1, 1, 3, 9, 17, 33, 95, 129, 175, 461, 287, 2633, 2325}},
-{785, 13, 1970, {1, 3, 5, 7, 23, 19, 63, 209, 249, 583, 1373, 2039, 2225}},
-{786, 13, 1972, {1, 3, 3, 5, 5, 19, 79, 241, 459, 355, 1455, 3313, 3639}},
-{787, 13, 1994, {1, 1, 7, 9, 21, 41, 97, 119, 129, 769, 1541, 3495, 7741}},
-{788, 13, 2002, {1, 1, 7, 11, 9, 29, 35, 255, 141, 937, 1763, 41, 1393}},
-{789, 13, 2007, {1, 3, 7, 1, 13, 51, 61, 157, 177, 847, 1829, 3539, 285}},
-{790, 13, 2008, {1, 1, 1, 15, 21, 13, 9, 55, 397, 19, 1495, 1255, 7235}},
-{791, 13, 2023, {1, 1, 7, 7, 25, 37, 53, 237, 319, 197, 269, 1205, 1485}},
-{792, 13, 2030, {1, 1, 5, 15, 23, 17, 35, 247, 323, 807, 233, 3681, 4407}},
-{793, 13, 2035, {1, 1, 3, 7, 9, 59, 85, 105, 493, 763, 1639, 391, 1451}},
-{794, 13, 2038, {1, 3, 3, 9, 15, 33, 5, 253, 129, 625, 1527, 2793, 6057}},
-{795, 13, 2042, {1, 3, 1, 1, 7, 47, 21, 161, 235, 83, 397, 3563, 5953}},
-{796, 13, 2047, {1, 3, 7, 11, 3, 41, 25, 117, 375, 779, 1297, 3715, 8117}},
-{797, 13, 2051, {1, 1, 3, 7, 31, 19, 103, 173, 475, 189, 2035, 2921, 1107}},
-{798, 13, 2058, {1, 1, 7, 3, 25, 7, 93, 255, 307, 113, 1893, 2233, 6919}},
-{799, 13, 2060, {1, 3, 5, 15, 9, 57, 79, 143, 165, 5, 1389, 193, 693}},
-{800, 13, 2071, {1, 3, 5, 1, 29, 45, 91, 49, 189, 461, 439, 1283, 7835}},
-{801, 13, 2084, {1, 1, 3, 13, 11, 61, 41, 231, 373, 695, 395, 915, 5393}},
-{802, 13, 2087, {1, 3, 7, 11, 5, 51, 67, 53, 483, 95, 1943, 247, 5653}},
-{803, 13, 2099, {1, 3, 7, 5, 5, 57, 45, 235, 137, 793, 1069, 1661, 1557}},
-{804, 13, 2108, {1, 3, 5, 3, 25, 55, 103, 177, 81, 861, 1151, 143, 7655}},
-{805, 13, 2111, {1, 1, 3, 1, 21, 41, 67, 131, 253, 431, 1269, 3181, 3429}},
-{806, 13, 2120, {1, 3, 1, 1, 21, 7, 77, 221, 257, 663, 71, 2949, 2481}},
-{807, 13, 2128, {1, 3, 5, 3, 3, 23, 45, 107, 299, 739, 1013, 3, 3165}},
-{808, 13, 2138, {1, 1, 5, 1, 3, 37, 109, 37, 243, 983, 1221, 1691, 3869}},
-{809, 13, 2143, {1, 1, 5, 5, 31, 7, 5, 193, 397, 867, 1495, 3435, 7441}},
-{810, 13, 2144, {1, 1, 1, 1, 17, 59, 97, 233, 389, 597, 1013, 1631, 483}},
-{811, 13, 2153, {1, 1, 1, 11, 7, 41, 107, 53, 111, 125, 1513, 1921, 7647}},
-{812, 13, 2156, {1, 3, 3, 3, 31, 29, 117, 3, 365, 971, 1139, 2123, 5913}},
-{813, 13, 2162, {1, 1, 1, 13, 23, 3, 1, 167, 475, 639, 1811, 3841, 3081}},
-{814, 13, 2167, {1, 1, 5, 3, 5, 47, 65, 123, 275, 783, 95, 119, 7591}},
-{815, 13, 2178, {1, 3, 1, 15, 13, 33, 93, 237, 467, 431, 705, 4013, 4035}},
-{816, 13, 2183, {1, 3, 5, 1, 19, 7, 101, 231, 155, 737, 1381, 3343, 2051}},
-{817, 13, 2202, {1, 1, 5, 9, 15, 49, 45, 163, 433, 765, 2031, 201, 2589}},
-{818, 13, 2211, {1, 3, 7, 9, 19, 41, 31, 89, 93, 623, 105, 745, 4409}},
-{819, 13, 2214, {1, 1, 5, 1, 11, 45, 127, 85, 389, 439, 829, 477, 7965}},
-{820, 13, 2223, {1, 3, 3, 15, 13, 41, 1, 207, 435, 585, 311, 1725, 2737}},
-{821, 13, 2225, {1, 3, 3, 3, 13, 49, 21, 31, 197, 799, 1411, 2959, 7133}},
-{822, 13, 2232, {1, 3, 1, 3, 7, 43, 9, 141, 133, 579, 1059, 93, 957}},
-{823, 13, 2237, {1, 3, 7, 1, 15, 51, 23, 213, 381, 851, 699, 2261, 3419}},
-{824, 13, 2257, {1, 3, 5, 9, 25, 35, 67, 141, 35, 409, 1423, 365, 1645}},
-{825, 13, 2260, {1, 3, 3, 11, 15, 33, 27, 181, 93, 87, 1761, 3511, 1353}},
-{826, 13, 2267, {1, 3, 5, 3, 25, 63, 111, 137, 321, 819, 705, 1547, 7271}},
-{827, 13, 2274, {1, 3, 1, 1, 5, 57, 99, 59, 411, 757, 1371, 3953, 3695}},
-{828, 13, 2276, {1, 3, 5, 11, 11, 21, 25, 147, 239, 455, 709, 953, 7175}},
-{829, 13, 2285, {1, 3, 3, 15, 5, 53, 91, 205, 341, 63, 723, 1565, 7135}},
-{830, 13, 2288, {1, 1, 7, 15, 11, 21, 99, 79, 63, 593, 2007, 3629, 5271}},
-{831, 13, 2293, {1, 3, 3, 1, 9, 21, 45, 175, 453, 435, 1855, 2649, 6959}},
-{832, 13, 2294, {1, 1, 3, 15, 15, 33, 121, 121, 251, 431, 1127, 3305, 4199}},
-{833, 13, 2297, {1, 1, 1, 9, 31, 15, 71, 29, 345, 391, 1159, 2809, 345}},
-{834, 13, 2303, {1, 3, 7, 1, 23, 29, 95, 151, 327, 727, 647, 1623, 2971}},
-{835, 13, 2308, {1, 1, 7, 7, 9, 29, 79, 91, 127, 909, 1293, 1315, 5315}},
-{836, 13, 2311, {1, 1, 5, 11, 13, 37, 89, 73, 149, 477, 1909, 3343, 525}},
-{837, 13, 2318, {1, 3, 5, 7, 5, 59, 55, 255, 223, 459, 2027, 237, 4205}},
-{838, 13, 2323, {1, 1, 1, 7, 27, 11, 95, 65, 325, 835, 907, 3801, 3787}},
-{839, 13, 2332, {1, 1, 1, 11, 27, 33, 99, 175, 51, 913, 331, 1851, 4133}},
-{840, 13, 2341, {1, 3, 5, 5, 13, 37, 31, 99, 273, 409, 1827, 3845, 5491}},
-{841, 13, 2345, {1, 1, 3, 7, 23, 19, 107, 85, 283, 523, 509, 451, 421}},
-{842, 13, 2348, {1, 3, 5, 7, 13, 9, 51, 81, 87, 619, 61, 2803, 5271}},
-{843, 13, 2354, {1, 1, 1, 15, 9, 45, 35, 219, 401, 271, 953, 649, 6847}},
-{844, 13, 2368, {1, 1, 7, 11, 9, 45, 17, 219, 169, 837, 1483, 1605, 2901}},
-{845, 13, 2377, {1, 1, 7, 7, 21, 43, 37, 33, 291, 359, 71, 2899, 7037}},
-{846, 13, 2380, {1, 3, 3, 13, 31, 53, 37, 15, 149, 949, 551, 3445, 5455}},
-{847, 13, 2383, {1, 3, 1, 5, 19, 45, 81, 223, 193, 439, 2047, 3879, 789}},
-{848, 13, 2388, {1, 1, 7, 3, 11, 63, 35, 61, 255, 563, 459, 2991, 3359}},
-{849, 13, 2395, {1, 1, 5, 9, 13, 49, 47, 185, 239, 221, 1533, 3635, 2045}},
-{850, 13, 2397, {1, 3, 7, 3, 25, 37, 127, 223, 51, 357, 483, 3837, 6873}},
-{851, 13, 2401, {1, 1, 7, 9, 31, 37, 113, 31, 387, 833, 1243, 1543, 5535}},
-{852, 13, 2411, {1, 3, 1, 9, 23, 59, 119, 221, 73, 185, 2007, 2885, 2563}},
-{853, 13, 2413, {1, 1, 1, 13, 7, 33, 53, 179, 67, 185, 1541, 1807, 4659}},
-{854, 13, 2419, {1, 3, 1, 11, 31, 37, 23, 215, 269, 357, 207, 645, 4219}},
-{855, 13, 2435, {1, 3, 3, 13, 19, 27, 107, 55, 91, 71, 1695, 1815, 89}},
-{856, 13, 2442, {1, 1, 3, 15, 3, 19, 35, 247, 49, 529, 1523, 3317, 6151}},
-{857, 13, 2455, {1, 1, 7, 7, 23, 25, 107, 139, 483, 503, 1277, 243, 7879}},
-{858, 13, 2472, {1, 3, 3, 13, 3, 15, 11, 197, 135, 839, 985, 275, 5527}},
-{859, 13, 2478, {1, 3, 5, 3, 25, 47, 95, 21, 113, 307, 1001, 3065, 295}},
-{860, 13, 2490, {1, 1, 3, 9, 19, 19, 99, 213, 363, 449, 735, 2851, 2521}},
-{861, 13, 2507, {1, 1, 3, 9, 5, 49, 63, 61, 157, 857, 497, 2801, 6987}},
-{862, 13, 2509, {1, 1, 1, 9, 1, 41, 109, 119, 499, 939, 867, 3675, 8023}},
-{863, 13, 2517, {1, 3, 1, 1, 13, 33, 109, 123, 289, 3, 1271, 2773, 4265}},
-{864, 13, 2524, {1, 3, 1, 11, 9, 57, 83, 221, 95, 43, 1189, 457, 7133}},
-{865, 13, 2528, {1, 1, 7, 3, 11, 49, 33, 219, 229, 289, 685, 3359, 4495}},
-{866, 13, 2531, {1, 3, 1, 3, 19, 43, 67, 193, 41, 771, 407, 81, 3891}},
-{867, 13, 2538, {1, 1, 7, 11, 5, 29, 51, 175, 297, 539, 1, 2245, 6439}},
-{868, 13, 2545, {1, 3, 7, 15, 21, 33, 117, 183, 511, 489, 1283, 3281, 5979}},
-{869, 13, 2546, {1, 3, 7, 5, 9, 3, 125, 147, 359, 549, 369, 3049, 2405}},
-{870, 13, 2555, {1, 3, 5, 7, 19, 5, 65, 97, 483, 377, 1523, 1457, 2995}},
-{871, 13, 2557, {1, 1, 5, 1, 11, 21, 41, 113, 277, 131, 1475, 1043, 2367}},
-{872, 13, 2564, {1, 3, 3, 1, 15, 17, 101, 69, 443, 865, 817, 1421, 5231}},
-{873, 13, 2573, {1, 1, 3, 3, 3, 55, 95, 99, 75, 195, 1929, 3931, 5855}},
-{874, 13, 2579, {1, 3, 1, 3, 19, 23, 93, 213, 241, 551, 1307, 585, 7729}},
-{875, 13, 2592, {1, 3, 1, 11, 23, 15, 53, 249, 467, 519, 95, 741, 409}},
-{876, 13, 2598, {1, 1, 1, 15, 29, 37, 43, 203, 233, 877, 77, 1933, 2729}},
-{877, 13, 2607, {1, 3, 7, 11, 27, 39, 43, 161, 255, 15, 1463, 833, 495}},
-{878, 13, 2612, {1, 1, 7, 11, 3, 53, 81, 67, 375, 823, 1903, 3061, 395}},
-{879, 13, 2619, {1, 1, 1, 1, 15, 37, 93, 233, 247, 501, 1321, 3275, 5409}},
-{880, 13, 2621, {1, 3, 3, 7, 7, 11, 5, 105, 139, 983, 1239, 531, 3881}},
-{881, 13, 2627, {1, 1, 5, 3, 19, 49, 107, 227, 361, 101, 355, 2649, 7383}},
-{882, 13, 2633, {1, 1, 7, 5, 25, 41, 101, 121, 209, 293, 1937, 2259, 5557}},
-{883, 13, 2636, {1, 1, 3, 7, 7, 1, 9, 13, 463, 1019, 995, 3159, 107}},
-{884, 13, 2642, {1, 3, 5, 11, 5, 35, 127, 97, 261, 789, 807, 807, 6257}},
-{885, 13, 2654, {1, 1, 7, 5, 11, 13, 45, 91, 417, 101, 1973, 3645, 2107}},
-{886, 13, 2660, {1, 1, 3, 7, 5, 63, 57, 49, 203, 157, 115, 1393, 8117}},
-{887, 13, 2669, {1, 3, 5, 5, 3, 43, 15, 155, 127, 489, 1165, 3701, 4867}},
-{888, 13, 2675, {1, 1, 7, 7, 29, 29, 69, 215, 415, 367, 371, 1901, 6075}},
-{889, 13, 2684, {1, 1, 1, 3, 11, 33, 89, 149, 433, 705, 1437, 1597, 505}},
-{890, 13, 2694, {1, 3, 5, 1, 13, 37, 19, 119, 5, 581, 2037, 1633, 2099}},
-{891, 13, 2703, {1, 3, 7, 13, 5, 49, 103, 245, 215, 515, 133, 2007, 1933}},
-{892, 13, 2706, {1, 3, 1, 9, 1, 3, 25, 197, 253, 387, 1683, 2267, 221}},
-{893, 13, 2712, {1, 3, 5, 15, 21, 9, 73, 201, 405, 999, 437, 3877, 6045}},
-{894, 13, 2715, {1, 1, 3, 1, 31, 55, 25, 83, 421, 395, 1807, 2129, 7797}},
-{895, 13, 2722, {1, 1, 3, 1, 23, 21, 121, 183, 125, 347, 143, 3685, 4317}},
-{896, 13, 2727, {1, 3, 3, 3, 17, 45, 17, 223, 267, 795, 1815, 1309, 155}},
-{897, 13, 2734, {1, 1, 1, 15, 17, 59, 5, 133, 15, 715, 1503, 153, 2887}},
-{898, 13, 2742, {1, 1, 1, 1, 27, 13, 119, 77, 243, 995, 1851, 3719, 4695}},
-{899, 13, 2745, {1, 3, 1, 5, 31, 49, 43, 165, 49, 609, 1265, 1141, 505}},
-{900, 13, 2751, {1, 1, 7, 13, 11, 63, 21, 253, 229, 585, 1543, 3719, 4141}},
-{901, 13, 2766, {1, 3, 7, 11, 23, 27, 17, 131, 295, 895, 1493, 1411, 3247}},
-{902, 13, 2768, {1, 1, 5, 9, 29, 7, 97, 15, 113, 445, 859, 1483, 1121}},
-{903, 13, 2780, {1, 3, 1, 9, 13, 49, 99, 107, 323, 201, 681, 3071, 5281}},
-{904, 13, 2790, {1, 1, 1, 15, 9, 19, 61, 161, 7, 87, 587, 2199, 2811}},
-{905, 13, 2794, {1, 3, 3, 15, 15, 19, 95, 45, 299, 829, 981, 3479, 487}},
-{906, 13, 2796, {1, 1, 1, 9, 3, 37, 7, 19, 227, 13, 397, 513, 1257}},
-{907, 13, 2801, {1, 1, 5, 15, 15, 13, 17, 111, 135, 929, 1145, 811, 1801}},
-{908, 13, 2804, {1, 3, 1, 3, 27, 57, 31, 19, 279, 103, 693, 631, 3409}},
-{909, 13, 2807, {1, 1, 1, 1, 15, 13, 67, 83, 23, 799, 1735, 2063, 3363}},
-{910, 13, 2816, {1, 3, 3, 7, 3, 1, 61, 31, 41, 533, 2025, 4067, 6963}},
-{911, 13, 2821, {1, 1, 5, 7, 17, 27, 81, 79, 107, 205, 29, 97, 4883}},
-{912, 13, 2831, {1, 1, 1, 5, 19, 49, 91, 201, 283, 949, 651, 3819, 5073}},
-{913, 13, 2834, {1, 1, 7, 9, 11, 13, 73, 197, 37, 219, 1931, 3369, 6017}},
-{914, 13, 2839, {1, 1, 7, 15, 11, 7, 75, 205, 7, 819, 399, 661, 6487}},
-{915, 13, 2845, {1, 3, 3, 3, 27, 37, 95, 41, 307, 165, 1077, 3485, 563}},
-{916, 13, 2852, {1, 3, 5, 3, 21, 49, 57, 179, 109, 627, 1789, 431, 2941}},
-{917, 13, 2856, {1, 1, 7, 5, 11, 19, 43, 137, 149, 679, 1543, 245, 1381}},
-{918, 13, 2861, {1, 3, 5, 5, 15, 3, 69, 81, 135, 159, 1363, 3401, 6355}},
-{919, 13, 2873, {1, 3, 5, 1, 9, 61, 49, 53, 319, 25, 1647, 1297, 615}},
-{920, 13, 2874, {1, 3, 5, 11, 31, 43, 9, 101, 71, 919, 335, 3147, 5823}},
-{921, 13, 2888, {1, 3, 1, 1, 15, 5, 29, 109, 511, 945, 867, 3677, 6915}},
-{922, 13, 2893, {1, 3, 3, 15, 17, 49, 91, 111, 215, 29, 1879, 97, 2505}},
-{923, 13, 2894, {1, 3, 1, 13, 19, 61, 11, 111, 163, 777, 533, 1113, 5339}},
-{924, 13, 2902, {1, 1, 7, 9, 17, 55, 117, 91, 455, 289, 557, 913, 4455}},
-{925, 13, 2917, {1, 3, 1, 7, 25, 19, 123, 37, 1, 277, 717, 2965, 4469}},
-{926, 13, 2921, {1, 3, 7, 3, 19, 23, 87, 235, 209, 457, 2041, 2893, 1805}},
-{927, 13, 2922, {1, 3, 3, 5, 5, 43, 23, 61, 351, 791, 59, 2009, 2909}},
-{928, 13, 2929, {1, 1, 3, 7, 5, 1, 27, 231, 385, 257, 1261, 2701, 1807}},
-{929, 13, 2935, {1, 3, 1, 1, 27, 19, 87, 253, 131, 685, 1743, 3983, 2651}},
-{930, 13, 2946, {1, 3, 7, 11, 21, 17, 11, 81, 191, 641, 1821, 3005, 7251}},
-{931, 13, 2951, {1, 3, 3, 5, 15, 31, 41, 213, 55, 931, 1953, 49, 6037}},
-{932, 13, 2957, {1, 1, 7, 15, 7, 27, 65, 223, 113, 79, 1875, 911, 5445}},
-{933, 13, 2960, {1, 3, 7, 7, 23, 55, 51, 167, 495, 25, 1585, 3447, 799}},
-{934, 13, 2966, {1, 1, 3, 7, 27, 15, 95, 193, 337, 415, 975, 3085, 967}},
-{935, 13, 2972, {1, 1, 7, 15, 19, 7, 93, 41, 433, 551, 401, 3169, 3971}},
-{936, 13, 2976, {1, 1, 7, 11, 13, 15, 53, 69, 433, 59, 1117, 3359, 6231}},
-{937, 13, 2979, {1, 1, 7, 3, 23, 5, 115, 201, 225, 109, 1903, 3897, 6265}},
-{938, 13, 2985, {1, 1, 1, 11, 17, 1, 39, 143, 361, 659, 1105, 23, 4923}},
-{939, 13, 3000, {1, 1, 1, 9, 27, 57, 85, 227, 261, 119, 1881, 3965, 6999}},
-{940, 13, 3003, {1, 3, 7, 7, 15, 7, 107, 17, 315, 49, 1591, 905, 7789}},
-{941, 13, 3013, {1, 3, 1, 7, 29, 3, 47, 237, 157, 769, 839, 3199, 3195}},
-{942, 13, 3018, {1, 1, 3, 15, 25, 39, 63, 15, 111, 857, 881, 1505, 7671}},
-{943, 13, 3020, {1, 1, 7, 1, 3, 35, 41, 215, 99, 895, 1025, 1483, 4707}},
-{944, 13, 3025, {1, 3, 5, 1, 1, 31, 25, 247, 113, 841, 397, 1825, 6969}},
-{945, 13, 3042, {1, 1, 3, 5, 19, 41, 49, 243, 225, 973, 241, 175, 1041}},
-{946, 13, 3047, {1, 1, 1, 7, 15, 15, 105, 141, 83, 75, 1675, 3523, 5219}},
-{947, 13, 3048, {1, 1, 7, 5, 13, 27, 47, 199, 445, 841, 959, 1157, 2209}},
-{948, 13, 3051, {1, 3, 5, 15, 23, 31, 31, 81, 85, 33, 785, 2639, 7799}},
-{949, 13, 3054, {1, 1, 5, 13, 21, 3, 47, 99, 235, 943, 1731, 2467, 7891}},
-{950, 13, 3056, {1, 1, 1, 3, 17, 53, 85, 219, 73, 131, 1339, 875, 1191}},
-{951, 13, 3065, {1, 1, 5, 7, 17, 63, 113, 7, 185, 557, 749, 3563, 4973}},
-{952, 13, 3073, {1, 3, 3, 15, 15, 21, 43, 111, 155, 689, 345, 423, 3597}},
-{953, 13, 3074, {1, 1, 5, 1, 15, 29, 93, 5, 361, 713, 695, 3937, 425}},
-{954, 13, 3083, {1, 3, 7, 7, 13, 41, 115, 175, 315, 937, 123, 2841, 4457}},
-{955, 13, 3086, {1, 1, 3, 11, 25, 5, 103, 53, 423, 811, 657, 399, 7257}},
-{956, 13, 3091, {1, 1, 1, 1, 1, 13, 101, 211, 383, 325, 97, 1703, 4429}},
-{957, 13, 3097, {1, 3, 7, 9, 31, 45, 83, 157, 509, 701, 841, 1105, 3643}},
-{958, 13, 3109, {1, 1, 1, 7, 1, 9, 69, 17, 129, 281, 1161, 2945, 7693}},
-{959, 13, 3116, {1, 3, 7, 1, 11, 29, 51, 143, 77, 433, 1723, 2317, 5641}},
-{960, 13, 3124, {1, 1, 1, 1, 21, 43, 13, 67, 177, 505, 1629, 1267, 4885}},
-{961, 13, 3128, {1, 1, 3, 11, 27, 63, 111, 47, 233, 781, 453, 1679, 3209}},
-{962, 13, 3153, {1, 1, 3, 13, 29, 27, 119, 141, 493, 971, 461, 1159, 633}},
-{963, 13, 3160, {1, 1, 3, 15, 23, 5, 79, 215, 163, 149, 1805, 2399, 61}},
-{964, 13, 3165, {1, 3, 5, 13, 19, 5, 1, 39, 409, 561, 709, 829, 1357}},
-{965, 13, 3172, {1, 3, 3, 13, 19, 43, 9, 177, 449, 447, 73, 2107, 5669}},
-{966, 13, 3175, {1, 3, 5, 1, 23, 13, 63, 109, 203, 593, 829, 4017, 6881}},
-{967, 13, 3184, {1, 1, 5, 7, 3, 9, 53, 175, 391, 169, 1283, 3793, 4451}},
-{968, 13, 3193, {1, 1, 5, 7, 29, 43, 9, 5, 209, 77, 927, 2941, 8145}},
-{969, 13, 3196, {1, 3, 5, 15, 17, 49, 5, 143, 131, 771, 1685, 925, 2175}},
-{970, 13, 3200, {1, 1, 3, 11, 27, 27, 27, 159, 161, 1015, 1587, 4049, 1983}},
-{971, 13, 3203, {1, 3, 1, 3, 23, 57, 119, 67, 481, 577, 389, 3319, 5325}},
-{972, 13, 3205, {1, 3, 5, 1, 19, 39, 87, 61, 329, 657, 1773, 31, 1707}},
-{973, 13, 3209, {1, 1, 3, 1, 5, 25, 15, 241, 131, 815, 1751, 3029, 8039}},
-{974, 13, 3224, {1, 3, 3, 13, 27, 13, 77, 87, 437, 57, 621, 1031, 7891}},
-{975, 13, 3239, {1, 3, 1, 13, 23, 51, 117, 37, 331, 745, 605, 3179, 4713}},
-{976, 13, 3251, {1, 1, 5, 5, 19, 17, 99, 167, 87, 721, 737, 789, 2165}},
-{977, 13, 3254, {1, 3, 5, 13, 1, 51, 119, 211, 165, 299, 1327, 3053, 3343}},
-{978, 13, 3265, {1, 1, 5, 15, 29, 45, 17, 129, 67, 345, 1553, 2705, 7369}},
-{979, 13, 3266, {1, 1, 1, 9, 23, 7, 13, 209, 7, 407, 317, 3077, 7287}},
-{980, 13, 3275, {1, 1, 1, 5, 9, 59, 89, 3, 487, 451, 505, 2499, 7563}},
-{981, 13, 3280, {1, 3, 1, 7, 21, 1, 21, 203, 101, 417, 1389, 2751, 1397}},
-{982, 13, 3283, {1, 3, 7, 13, 7, 31, 3, 247, 349, 485, 1259, 549, 6321}},
-{983, 13, 3286, {1, 1, 7, 7, 27, 33, 107, 197, 293, 729, 1753, 2571, 103}},
-{984, 13, 3301, {1, 3, 5, 9, 25, 35, 5, 253, 137, 213, 2041, 3387, 1809}},
-{985, 13, 3302, {1, 1, 7, 13, 15, 35, 67, 83, 295, 175, 839, 2831, 839}},
-{986, 13, 3305, {1, 3, 3, 11, 3, 17, 55, 141, 247, 991, 117, 3799, 1221}},
-{987, 13, 3319, {1, 1, 5, 1, 11, 37, 87, 233, 457, 653, 899, 2933, 3105}},
-{988, 13, 3323, {1, 1, 3, 15, 3, 31, 67, 167, 437, 9, 651, 1109, 1139}},
-{989, 13, 3326, {1, 1, 3, 1, 7, 63, 67, 17, 11, 883, 1855, 1941, 4751}},
-{990, 13, 3331, {1, 3, 7, 9, 19, 33, 113, 117, 495, 39, 1795, 2561, 5519}},
-{991, 13, 3348, {1, 1, 7, 5, 1, 3, 103, 37, 201, 223, 1101, 877, 6483}},
-{992, 13, 3351, {1, 1, 5, 9, 29, 49, 51, 33, 439, 917, 861, 1321, 2135}},
-{993, 13, 3358, {1, 1, 3, 3, 1, 5, 17, 93, 217, 619, 613, 1357, 6095}},
-{994, 13, 3368, {1, 3, 1, 11, 3, 21, 5, 41, 15, 175, 843, 2937, 6849}},
-{995, 13, 3374, {1, 3, 3, 7, 9, 57, 55, 127, 79, 287, 445, 2205, 7989}},
-{996, 13, 3376, {1, 1, 7, 13, 23, 17, 93, 129, 157, 135, 1747, 1813, 4183}},
-{997, 13, 3379, {1, 1, 1, 5, 31, 59, 99, 33, 425, 329, 887, 367, 1761}},
-{998, 13, 3385, {1, 1, 7, 9, 17, 53, 77, 139, 435, 387, 49, 3649, 1773}},
-{999, 13, 3386, {1, 3, 3, 15, 21, 57, 45, 161, 331, 719, 273, 3479, 4173}},
-{1000, 13, 3396, {1, 1, 3, 9, 3, 3, 105, 201, 373, 877, 919, 1263, 6649}},
-{1001, 13, 3420, {1, 3, 1, 15, 13, 43, 13, 99, 73, 163, 353, 3569, 5601}},
-{1002, 13, 3423, {1, 3, 7, 3, 5, 9, 69, 177, 449, 47, 781, 1125, 4245}},
-{1003, 13, 3430, {1, 1, 1, 5, 3, 45, 1, 123, 409, 903, 205, 2057, 7637}},
-{1004, 13, 3433, {1, 3, 5, 9, 19, 47, 87, 135, 481, 799, 101, 3409, 2241}},
-{1005, 13, 3434, {1, 3, 1, 13, 3, 25, 15, 27, 181, 967, 669, 2577, 7249}},
-{1006, 13, 3439, {1, 1, 7, 3, 31, 5, 103, 53, 1, 911, 1209, 3697, 6685}},
-{1007, 13, 3442, {1, 1, 3, 1, 5, 5, 49, 135, 281, 747, 761, 2973, 7963}},
-{1008, 13, 3444, {1, 3, 3, 5, 19, 61, 125, 199, 299, 515, 1365, 369, 7027}},
-{1009, 13, 3453, {1, 3, 1, 7, 5, 41, 63, 229, 283, 571, 147, 447, 657}},
-{1010, 13, 3464, {1, 3, 1, 11, 5, 15, 55, 7, 259, 61, 27, 1429, 5631}},
-{1011, 13, 3477, {1, 1, 5, 1, 3, 53, 51, 253, 155, 553, 1293, 3735, 6567}},
-{1012, 13, 3478, {1, 3, 5, 9, 5, 41, 21, 159, 101, 785, 1981, 3799, 7693}},
-{1013, 13, 3482, {1, 3, 7, 7, 9, 3, 95, 105, 129, 213, 1215, 1027, 5699}},
-{1014, 13, 3487, {1, 1, 3, 3, 29, 13, 9, 253, 449, 321, 341, 2879, 171}},
-{1015, 13, 3497, {1, 3, 7, 11, 21, 11, 75, 35, 43, 965, 675, 2217, 7175}},
-{1016, 13, 3500, {1, 1, 5, 15, 31, 5, 29, 137, 311, 751, 47, 1367, 5921}},
-{1017, 13, 3505, {1, 1, 3, 15, 17, 1, 45, 69, 55, 649, 835, 569, 7615}},
-{1018, 13, 3506, {1, 3, 1, 13, 31, 7, 23, 15, 391, 145, 1845, 1825, 1403}},
-{1019, 13, 3511, {1, 1, 3, 15, 5, 9, 79, 77, 105, 399, 1933, 2503, 4781}},
-{1020, 13, 3512, {1, 3, 1, 3, 17, 47, 19, 13, 107, 475, 759, 2933, 3761}},
-{1021, 13, 3515, {1, 1, 7, 11, 3, 7, 121, 209, 397, 877, 293, 847, 7039}},
-{1022, 13, 3525, {1, 1, 1, 15, 29, 45, 5, 109, 335, 461, 143, 931, 4045}},
-{1023, 13, 3532, {1, 3, 1, 7, 11, 57, 73, 89, 201, 173, 803, 3953, 5205}},
-{1024, 13, 3538, {1, 1, 5, 11, 11, 33, 37, 29, 263, 1019, 657, 1453, 7807}},
-{1025, 13, 3540, {1, 3, 3, 13, 31, 25, 37, 47, 261, 607, 1703, 2603, 417}},
-{1026, 13, 3547, {1, 1, 1, 1, 31, 61, 45, 115, 275, 239, 1989, 1897, 4329}},
-{1027, 13, 3549, {1, 3, 5, 3, 31, 3, 11, 173, 335, 579, 1193, 2219, 7875}},
-{1028, 13, 3560, {1, 1, 7, 9, 29, 45, 13, 67, 399, 177, 1293, 3865, 2225}},
-{1029, 13, 3571, {1, 1, 7, 11, 11, 51, 121, 227, 469, 905, 929, 2635, 4165}},
-{1030, 13, 3577, {1, 3, 7, 9, 13, 39, 55, 167, 23, 147, 1603, 2083, 4645}},
-{1031, 13, 3583, {1, 1, 3, 15, 27, 53, 11, 155, 157, 629, 259, 3009, 4605}},
-{1032, 13, 3590, {1, 3, 1, 7, 15, 47, 51, 1, 259, 603, 887, 2833, 6581}},
-{1033, 13, 3593, {1, 3, 5, 3, 1, 47, 91, 43, 361, 571, 29, 1453, 4269}},
-{1034, 13, 3594, {1, 1, 3, 9, 11, 51, 55, 23, 415, 277, 1423, 3475, 1527}},
-{1035, 13, 3599, {1, 1, 3, 11, 29, 49, 101, 75, 299, 709, 805, 4037, 4389}},
-{1036, 13, 3601, {1, 1, 7, 3, 23, 1, 37, 51, 379, 771, 1301, 3717, 6673}},
-{1037, 13, 3602, {1, 1, 5, 3, 23, 11, 125, 177, 375, 665, 951, 1577, 2603}},
-{1038, 13, 3613, {1, 1, 1, 1, 1, 5, 71, 255, 21, 459, 467, 2083, 5415}},
-{1039, 13, 3623, {1, 1, 5, 13, 23, 29, 109, 157, 363, 971, 549, 647, 1177}},
-{1040, 13, 3630, {1, 1, 3, 9, 7, 15, 101, 3, 365, 213, 745, 1155, 6099}},
-{1041, 13, 3638, {1, 3, 5, 15, 15, 19, 47, 179, 303, 521, 1279, 219, 2415}},
-{1042, 13, 3649, {1, 3, 3, 13, 27, 11, 83, 165, 369, 989, 261, 3933, 4809}},
-{1043, 13, 3655, {1, 1, 3, 11, 31, 59, 1, 185, 53, 703, 1471, 2935, 1107}},
-{1044, 13, 3662, {1, 3, 3, 7, 25, 3, 81, 27, 93, 521, 433, 2859, 5861}},
-{1045, 13, 3667, {1, 3, 3, 11, 29, 15, 49, 167, 315, 927, 543, 3473, 4307}},
-{1046, 13, 3669, {1, 3, 1, 3, 29, 33, 53, 15, 183, 691, 703, 1311, 3393}},
-{1047, 13, 3676, {1, 3, 5, 13, 23, 49, 3, 11, 1, 357, 1407, 415, 7211}},
-{1048, 13, 3683, {1, 3, 7, 15, 1, 25, 91, 113, 323, 371, 189, 925, 1181}},
-{1049, 13, 3700, {1, 3, 3, 3, 17, 59, 119, 199, 115, 223, 877, 2193, 193}},
-{1050, 13, 3709, {1, 1, 1, 5, 5, 35, 31, 59, 437, 411, 37, 2405, 3797}},
-{1051, 13, 3710, {1, 3, 1, 13, 9, 37, 1, 241, 59, 157, 1785, 1223, 563}},
-{1052, 13, 3713, {1, 3, 5, 13, 3, 21, 25, 95, 15, 745, 85, 701, 5361}},
-{1053, 13, 3723, {1, 3, 7, 1, 31, 33, 111, 195, 35, 913, 2013, 2951, 6611}},
-{1054, 13, 3725, {1, 3, 5, 1, 19, 3, 75, 119, 111, 409, 951, 1457, 4957}},
-{1055, 13, 3728, {1, 3, 1, 15, 19, 59, 3, 155, 237, 657, 1967, 3323, 6235}},
-{1056, 13, 3734, {1, 1, 5, 1, 3, 19, 45, 105, 377, 881, 167, 2255, 4483}},
-{1057, 13, 3737, {1, 1, 7, 7, 13, 13, 99, 89, 201, 279, 161, 2483, 6001}},
-{1058, 13, 3738, {1, 1, 7, 3, 13, 17, 97, 129, 137, 377, 1519, 183, 3725}},
-{1059, 13, 3744, {1, 1, 7, 9, 9, 5, 45, 135, 115, 181, 1685, 3505, 4387}},
-{1060, 13, 3750, {1, 1, 1, 1, 19, 35, 69, 113, 305, 419, 949, 2969, 247}},
-{1061, 13, 3762, {1, 1, 5, 13, 23, 61, 13, 139, 501, 811, 67, 1501, 6493}},
-{1062, 13, 3764, {1, 1, 3, 13, 15, 41, 27, 217, 293, 13, 145, 2631, 6991}},
-{1063, 13, 3774, {1, 3, 3, 13, 15, 37, 71, 123, 285, 49, 627, 1283, 5993}},
-{1064, 13, 3776, {1, 3, 3, 11, 9, 25, 11, 1, 203, 353, 1347, 1999, 2799}},
-{1065, 13, 3786, {1, 3, 5, 1, 7, 49, 101, 231, 499, 63, 1977, 2207, 7829}},
-{1066, 13, 3800, {1, 1, 7, 1, 17, 15, 115, 139, 381, 943, 623, 4037, 2971}},
-{1067, 13, 3803, {1, 1, 3, 5, 13, 55, 23, 87, 139, 795, 1669, 1375, 1185}},
-{1068, 13, 3809, {1, 3, 3, 5, 5, 45, 97, 253, 241, 333, 645, 555, 7867}},
-{1069, 13, 3816, {1, 3, 5, 1, 1, 1, 89, 27, 407, 509, 1433, 609, 2355}},
-{1070, 13, 3821, {1, 3, 7, 1, 27, 29, 5, 157, 495, 811, 1293, 1143, 827}},
-{1071, 13, 3827, {1, 1, 3, 3, 25, 49, 127, 111, 191, 3, 845, 1383, 2521}},
-{1072, 13, 3829, {1, 1, 5, 7, 5, 51, 101, 155, 237, 461, 831, 3091, 3851}},
-{1073, 13, 3836, {1, 3, 7, 1, 29, 35, 105, 91, 285, 705, 131, 395, 6011}},
-{1074, 13, 3842, {1, 3, 5, 3, 13, 21, 83, 173, 221, 827, 1775, 1931, 6727}},
-{1075, 13, 3844, {1, 1, 3, 5, 3, 25, 95, 115, 205, 569, 1447, 933, 6425}},
-{1076, 13, 3847, {1, 1, 7, 9, 31, 3, 17, 175, 145, 447, 1321, 1069, 6527}},
-{1077, 13, 3853, {1, 1, 3, 3, 23, 1, 79, 51, 421, 419, 873, 3939, 1801}},
-{1078, 13, 3861, {1, 1, 5, 1, 3, 39, 15, 85, 169, 669, 919, 397, 5579}},
-{1079, 13, 3871, {1, 3, 5, 1, 21, 61, 87, 217, 251, 619, 1091, 4009, 229}},
-{1080, 13, 3872, {1, 1, 1, 11, 23, 55, 85, 121, 363, 867, 315, 447, 3373}},
-{1081, 13, 3881, {1, 3, 3, 13, 29, 19, 89, 85, 137, 469, 1873, 2765, 3975}},
-{1082, 13, 3890, {1, 3, 7, 13, 19, 63, 61, 77, 67, 361, 11, 1787, 4703}},
-{1083, 13, 3892, {1, 1, 3, 11, 7, 15, 127, 105, 179, 857, 1671, 3647, 3389}},
-{1084, 13, 3909, {1, 1, 1, 7, 19, 21, 99, 161, 499, 519, 1287, 2973, 479}},
-{1085, 13, 3921, {1, 1, 3, 13, 29, 51, 95, 251, 55, 519, 1955, 2881, 5951}},
-{1086, 13, 3934, {1, 1, 3, 11, 23, 63, 121, 237, 175, 311, 701, 1539, 2383}},
-{1087, 13, 3938, {1, 1, 7, 5, 5, 45, 73, 97, 5, 153, 715, 2037, 3353}},
-{1088, 13, 3947, {1, 1, 1, 3, 13, 7, 67, 173, 425, 843, 1497, 2729, 5193}},
-{1089, 13, 3950, {1, 1, 7, 1, 23, 3, 119, 11, 77, 141, 1905, 2269, 4269}},
-{1090, 13, 3952, {1, 1, 7, 15, 1, 23, 79, 251, 439, 603, 405, 2449, 6383}},
-{1091, 13, 3964, {1, 3, 7, 11, 29, 27, 47, 255, 47, 661, 1967, 1007, 3689}},
-{1092, 13, 3974, {1, 3, 7, 5, 19, 39, 35, 115, 417, 373, 291, 329, 603}},
-{1093, 13, 3980, {1, 3, 1, 9, 11, 33, 27, 193, 207, 423, 1311, 1369, 7307}},
-{1094, 13, 3983, {1, 1, 3, 11, 9, 29, 83, 17, 497, 493, 329, 3141, 5935}},
-{1095, 13, 3986, {1, 3, 1, 5, 31, 51, 29, 171, 51, 493, 1621, 3501, 4091}},
-{1096, 13, 3995, {1, 1, 5, 9, 21, 43, 105, 207, 245, 363, 1191, 699, 1139}},
-{1097, 13, 3998, {1, 1, 3, 11, 19, 5, 81, 119, 247, 169, 1337, 45, 6565}},
-{1098, 13, 4001, {1, 3, 1, 11, 3, 51, 3, 101, 159, 11, 253, 299, 5043}},
-{1099, 13, 4002, {1, 3, 1, 5, 11, 53, 85, 39, 57, 645, 2007, 1039, 3627}},
-{1100, 13, 4004, {1, 3, 5, 3, 17, 61, 97, 165, 415, 357, 283, 601, 5505}},
-{1101, 13, 4008, {1, 3, 7, 3, 9, 51, 49, 85, 3, 227, 137, 309, 243}},
-{1102, 13, 4011, {1, 1, 5, 3, 11, 59, 11, 131, 409, 703, 455, 123, 6727}},
-{1103, 13, 4016, {1, 3, 7, 9, 25, 49, 21, 171, 287, 379, 667, 313, 713}},
-{1104, 13, 4033, {1, 1, 3, 9, 7, 35, 47, 3, 367, 581, 1627, 1665, 3905}},
-{1105, 13, 4036, {1, 3, 1, 1, 29, 57, 35, 55, 255, 653, 823, 2197, 6179}},
-{1106, 13, 4040, {1, 3, 7, 15, 17, 15, 117, 83, 359, 163, 115, 2999, 5373}},
-{1107, 13, 4053, {1, 1, 5, 3, 21, 61, 35, 97, 71, 687, 207, 2917, 1049}},
-{1108, 13, 4058, {1, 1, 1, 15, 13, 15, 125, 81, 263, 661, 417, 3243, 1669}},
-{1109, 13, 4081, {1, 1, 7, 3, 3, 19, 111, 193, 443, 339, 659, 1211, 1557}},
-{1110, 13, 4091, {1, 3, 1, 3, 27, 3, 3, 173, 391, 213, 803, 3281, 3207}},
-{1111, 13, 4094, {1, 1, 5, 15, 19, 1, 7, 211, 157, 603, 403, 1387, 1583}},
-{1112, 14, 21, {1, 3, 5, 13, 17, 53, 125, 13, 339, 723, 521, 413, 5801, 10451}},
-{1113, 14, 28, {1, 1, 3, 13, 29, 9, 99, 77, 141, 609, 1533, 983, 2039, 51}},
-{1114, 14, 41, {1, 1, 3, 11, 21, 55, 5, 51, 423, 309, 525, 3715, 3025, 15055}},
-{1115, 14, 47, {1, 1, 3, 7, 9, 21, 77, 171, 239, 341, 1653, 1093, 2273, 10723}},
-{1116, 14, 61, {1, 1, 1, 15, 31, 15, 23, 35, 317, 869, 1917, 1415, 4313, 3687}},
-{1117, 14, 84, {1, 1, 1, 5, 21, 25, 99, 167, 439, 453, 473, 431, 6665, 4989}},
-{1118, 14, 87, {1, 1, 7, 9, 31, 47, 81, 83, 345, 43, 1363, 1885, 3155, 3185}},
-{1119, 14, 93, {1, 3, 7, 1, 31, 17, 61, 185, 341, 129, 547, 717, 2071, 9991}},
-{1120, 14, 94, {1, 3, 1, 13, 23, 61, 77, 217, 455, 77, 1263, 1601, 3501, 14953}},
-{1121, 14, 103, {1, 1, 7, 7, 19, 19, 1, 229, 431, 943, 1069, 1949, 1289, 15729}},
-{1122, 14, 117, {1, 1, 3, 5, 1, 35, 97, 251, 487, 459, 1265, 1739, 165, 10365}},
-{1123, 14, 121, {1, 3, 5, 3, 11, 25, 79, 175, 383, 545, 187, 197, 4329, 3363}},
-{1124, 14, 134, {1, 1, 3, 3, 29, 9, 63, 55, 175, 277, 431, 2549, 2629, 6409}},
-{1125, 14, 137, {1, 1, 3, 15, 17, 21, 79, 139, 99, 135, 1763, 1805, 3471, 5439}},
-{1126, 14, 157, {1, 1, 3, 9, 9, 15, 35, 119, 289, 835, 769, 3843, 4119, 4421}},
-{1127, 14, 161, {1, 1, 1, 5, 19, 19, 67, 199, 307, 815, 1367, 1231, 3927, 6593}},
-{1128, 14, 205, {1, 1, 3, 1, 29, 51, 121, 209, 431, 47, 1115, 907, 2535, 9755}},
-{1129, 14, 206, {1, 1, 3, 5, 17, 1, 5, 119, 121, 223, 1719, 1291, 3947, 15891}},
-{1130, 14, 211, {1, 3, 1, 15, 29, 25, 3, 131, 373, 307, 645, 3513, 1289, 1987}},
-{1131, 14, 214, {1, 3, 3, 11, 29, 45, 105, 179, 331, 465, 891, 1315, 403, 3057}},
-{1132, 14, 218, {1, 1, 5, 13, 17, 59, 77, 127, 485, 855, 1147, 3093, 891, 9869}},
-{1133, 14, 234, {1, 1, 1, 7, 23, 27, 31, 203, 285, 463, 827, 685, 1349, 15051}},
-{1134, 14, 236, {1, 1, 1, 5, 29, 5, 107, 195, 31, 425, 19, 2865, 3869, 11153}},
-{1135, 14, 248, {1, 1, 7, 5, 7, 47, 1, 73, 307, 347, 393, 2205, 7709, 15121}},
-{1136, 14, 262, {1, 1, 1, 13, 15, 61, 25, 131, 113, 369, 1995, 2527, 4475, 1745}},
-{1137, 14, 299, {1, 1, 1, 1, 31, 63, 21, 253, 307, 281, 859, 3319, 6721, 2891}},
-{1138, 14, 304, {1, 1, 3, 11, 1, 17, 5, 183, 301, 979, 651, 1685, 6343, 10067}},
-{1139, 14, 319, {1, 1, 5, 15, 23, 45, 99, 145, 263, 507, 1381, 3425, 2215, 1815}},
-{1140, 14, 322, {1, 3, 1, 5, 11, 63, 85, 203, 411, 881, 1369, 1237, 4657, 6541}},
-{1141, 14, 334, {1, 3, 3, 13, 17, 53, 121, 201, 269, 983, 215, 3187, 7121, 6111}},
-{1142, 14, 355, {1, 3, 5, 15, 15, 5, 13, 143, 3, 313, 1677, 1093, 3295, 3387}},
-{1143, 14, 357, {1, 1, 3, 13, 3, 23, 73, 17, 257, 965, 239, 1271, 2803, 7327}},
-{1144, 14, 358, {1, 3, 5, 13, 9, 57, 115, 37, 41, 467, 135, 1403, 3811, 4741}},
-{1145, 14, 369, {1, 3, 7, 15, 9, 33, 39, 203, 351, 367, 1355, 1403, 3685, 4757}},
-{1146, 14, 372, {1, 3, 5, 11, 31, 3, 113, 123, 203, 421, 1821, 3151, 2375, 4419}},
-{1147, 14, 375, {1, 1, 1, 7, 21, 63, 99, 23, 133, 79, 991, 1755, 4989, 4709}},
-{1148, 14, 388, {1, 3, 5, 1, 25, 63, 113, 239, 49, 443, 173, 1261, 3201, 10599}},
-{1149, 14, 400, {1, 3, 3, 13, 3, 25, 101, 169, 23, 585, 327, 1327, 111, 10059}},
-{1150, 14, 415, {1, 3, 3, 5, 19, 1, 33, 89, 437, 213, 1933, 1741, 2603, 5625}},
-{1151, 14, 446, {1, 3, 1, 3, 15, 15, 25, 139, 73, 335, 237, 2461, 3101, 14951}},
-{1152, 14, 451, {1, 3, 5, 1, 31, 15, 31, 187, 177, 659, 1339, 3767, 4975, 7123}},
-{1153, 14, 458, {1, 3, 1, 3, 25, 19, 47, 89, 107, 107, 649, 683, 3123, 11085}},
-{1154, 14, 471, {1, 3, 7, 9, 15, 21, 101, 25, 11, 625, 1555, 675, 3893, 5805}},
-{1155, 14, 484, {1, 1, 1, 5, 7, 49, 123, 21, 439, 369, 207, 535, 4619, 14665}},
-{1156, 14, 501, {1, 1, 5, 7, 1, 25, 103, 185, 99, 239, 1093, 1561, 6177, 4039}},
-{1157, 14, 502, {1, 3, 7, 5, 29, 21, 43, 103, 343, 973, 1561, 2975, 7467, 7947}},
-{1158, 14, 517, {1, 1, 7, 9, 19, 3, 13, 23, 461, 813, 1191, 985, 559, 3317}},
-{1159, 14, 545, {1, 3, 5, 5, 27, 31, 79, 15, 365, 901, 1949, 117, 3619, 13311}},
-{1160, 14, 569, {1, 3, 5, 7, 5, 33, 67, 199, 425, 189, 1691, 3099, 815, 1677}},
-{1161, 14, 617, {1, 1, 7, 11, 13, 29, 73, 137, 265, 601, 445, 3893, 2511, 8047}},
-{1162, 14, 618, {1, 1, 3, 1, 13, 5, 57, 101, 357, 391, 335, 601, 1359, 1065}},
-{1163, 14, 623, {1, 1, 1, 1, 25, 57, 27, 115, 31, 873, 611, 2125, 447, 13585}},
-{1164, 14, 625, {1, 3, 3, 13, 27, 17, 73, 11, 359, 33, 1153, 271, 4537, 15141}},
-{1165, 14, 637, {1, 3, 7, 3, 11, 63, 103, 61, 59, 629, 1629, 3279, 3919, 3177}},
-{1166, 14, 661, {1, 1, 5, 15, 3, 63, 85, 193, 381, 165, 175, 3247, 2501, 4209}},
-{1167, 14, 668, {1, 1, 5, 15, 1, 33, 59, 219, 487, 193, 1557, 703, 2907, 7953}},
-{1168, 14, 684, {1, 1, 7, 3, 9, 3, 105, 95, 389, 991, 21, 3841, 6983, 285}},
-{1169, 14, 695, {1, 1, 1, 1, 1, 31, 25, 137, 117, 67, 1283, 1963, 6591, 15541}},
-{1170, 14, 716, {1, 3, 5, 11, 7, 15, 127, 89, 453, 777, 1827, 2311, 7661, 11833}},
-{1171, 14, 719, {1, 1, 7, 13, 19, 29, 79, 165, 223, 453, 2039, 3961, 6467, 5481}},
-{1172, 14, 722, {1, 3, 3, 7, 17, 41, 43, 157, 323, 3, 1001, 2109, 4513, 12127}},
-{1173, 14, 731, {1, 1, 5, 9, 31, 57, 3, 217, 113, 271, 1663, 1367, 6949, 8165}},
-{1174, 14, 738, {1, 1, 7, 15, 27, 35, 81, 235, 61, 205, 525, 311, 6357, 2527}},
-{1175, 14, 747, {1, 3, 1, 9, 19, 29, 71, 207, 321, 1011, 1615, 1333, 3459, 6681}},
-{1176, 14, 755, {1, 3, 7, 7, 3, 57, 41, 19, 25, 397, 565, 1837, 7625, 11813}},
-{1177, 14, 761, {1, 3, 3, 1, 27, 47, 31, 79, 441, 961, 1255, 423, 2405, 913}},
-{1178, 14, 767, {1, 3, 3, 13, 3, 29, 69, 227, 85, 201, 395, 3199, 3869, 13099}},
-{1179, 14, 775, {1, 3, 3, 7, 29, 61, 99, 7, 27, 227, 945, 873, 475, 4363}},
-{1180, 14, 782, {1, 3, 5, 13, 19, 21, 57, 149, 217, 443, 565, 453, 5487, 10981}},
-{1181, 14, 787, {1, 3, 3, 1, 9, 27, 47, 191, 35, 395, 1429, 4079, 6871, 8013}},
-{1182, 14, 794, {1, 3, 5, 15, 5, 43, 9, 79, 279, 563, 1125, 985, 8117, 4099}},
-{1183, 14, 803, {1, 3, 5, 1, 13, 41, 21, 117, 287, 667, 701, 1483, 8167, 13283}},
-{1184, 14, 812, {1, 3, 1, 3, 15, 15, 59, 5, 383, 509, 1657, 3977, 7697, 10941}},
-{1185, 14, 817, {1, 3, 1, 1, 17, 29, 19, 23, 377, 45, 981, 1631, 3557, 6749}},
-{1186, 14, 824, {1, 3, 3, 9, 9, 51, 9, 193, 345, 361, 1679, 3333, 713, 5387}},
-{1187, 14, 829, {1, 3, 5, 5, 17, 45, 97, 17, 385, 349, 105, 2245, 7295, 14393}},
-{1188, 14, 850, {1, 3, 7, 3, 19, 51, 35, 99, 79, 301, 1563, 399, 5879, 14675}},
-{1189, 14, 866, {1, 1, 7, 15, 13, 53, 55, 203, 417, 161, 2033, 1845, 6763, 3585}},
-{1190, 14, 871, {1, 1, 3, 3, 7, 23, 11, 43, 241, 309, 1453, 3147, 2619, 3163}},
-{1191, 14, 877, {1, 1, 1, 11, 17, 1, 17, 137, 443, 465, 993, 3217, 7879, 14607}},
-{1192, 14, 920, {1, 1, 7, 13, 29, 49, 71, 217, 291, 793, 135, 21, 2503, 11091}},
-{1193, 14, 935, {1, 3, 1, 11, 31, 51, 121, 227, 377, 157, 1457, 1317, 5625, 6217}},
-{1194, 14, 959, {1, 1, 3, 7, 23, 61, 47, 93, 79, 617, 1805, 2403, 5513, 16335}},
-{1195, 14, 979, {1, 3, 5, 11, 23, 25, 41, 11, 495, 587, 1223, 3107, 1469, 15223}},
-{1196, 14, 992, {1, 3, 7, 7, 9, 1, 1, 49, 23, 723, 1761, 3717, 7375, 10875}},
-{1197, 14, 1010, {1, 3, 3, 11, 25, 37, 57, 63, 309, 603, 183, 285, 1663, 5627}},
-{1198, 14, 1012, {1, 3, 7, 11, 19, 25, 25, 201, 391, 257, 529, 1645, 1, 15111}},
-{1199, 14, 1015, {1, 3, 3, 9, 11, 43, 91, 65, 5, 959, 301, 1015, 6343, 3453}},
-{1200, 14, 1033, {1, 3, 3, 11, 17, 17, 103, 37, 77, 973, 575, 439, 49, 3639}},
-{1201, 14, 1036, {1, 1, 5, 7, 1, 15, 107, 237, 231, 967, 923, 1101, 6715, 1713}},
-{1202, 14, 1053, {1, 3, 1, 15, 9, 33, 29, 211, 245, 601, 1783, 887, 1209, 11785}},
-{1203, 14, 1057, {1, 3, 3, 7, 21, 43, 27, 89, 27, 141, 865, 367, 1379, 4063}},
-{1204, 14, 1069, {1, 3, 7, 7, 15, 17, 15, 15, 131, 649, 1955, 3289, 3983, 10689}},
-{1205, 14, 1072, {1, 3, 1, 5, 17, 7, 125, 69, 359, 981, 1345, 933, 5281, 7113}},
-{1206, 14, 1075, {1, 1, 5, 9, 17, 7, 41, 207, 497, 1015, 493, 891, 3563, 3541}},
-{1207, 14, 1087, {1, 3, 5, 11, 27, 3, 47, 31, 303, 1007, 2047, 2203, 6257, 8369}},
-{1208, 14, 1089, {1, 1, 1, 15, 25, 15, 89, 51, 217, 357, 1133, 1917, 213, 3365}},
-{1209, 14, 1137, {1, 1, 5, 13, 29, 23, 123, 207, 429, 805, 819, 2357, 6313, 11019}},
-{1210, 14, 1166, {1, 1, 3, 7, 19, 15, 41, 73, 279, 11, 1089, 3107, 7737, 15953}},
-{1211, 14, 1174, {1, 3, 5, 7, 7, 15, 41, 73, 493, 457, 1731, 1139, 2513, 12373}},
-{1212, 14, 1180, {1, 3, 5, 9, 17, 5, 55, 155, 173, 1005, 529, 3175, 7667, 4747}},
-{1213, 14, 1204, {1, 1, 7, 7, 5, 21, 105, 31, 205, 847, 1033, 3167, 2347, 8499}},
-{1214, 14, 1211, {1, 3, 5, 3, 11, 17, 59, 189, 179, 1007, 33, 3287, 4813, 8177}},
-{1215, 14, 1219, {1, 3, 3, 13, 27, 47, 47, 171, 413, 875, 1081, 1259, 7139, 8645}},
-{1216, 14, 1236, {1, 3, 5, 7, 25, 21, 51, 29, 361, 293, 51, 1119, 1453, 5283}},
-{1217, 14, 1255, {1, 3, 7, 7, 29, 55, 103, 199, 511, 341, 1957, 3987, 2855, 1279}},
-{1218, 14, 1264, {1, 1, 1, 9, 23, 51, 61, 63, 391, 37, 55, 3771, 6517, 15913}},
-{1219, 14, 1306, {1, 1, 1, 9, 3, 19, 13, 147, 453, 855, 1321, 189, 5043, 11215}},
-{1220, 14, 1330, {1, 3, 3, 13, 23, 3, 87, 155, 401, 981, 607, 3413, 995, 6473}},
-{1221, 14, 1341, {1, 3, 1, 9, 29, 47, 95, 123, 421, 353, 1867, 2609, 2569, 14083}},
-{1222, 14, 1344, {1, 1, 5, 13, 25, 39, 29, 111, 125, 545, 1493, 2371, 6361, 6307}},
-{1223, 14, 1347, {1, 3, 3, 11, 13, 31, 87, 75, 27, 393, 921, 3655, 3343, 16349}},
-{1224, 14, 1349, {1, 1, 5, 9, 19, 19, 7, 129, 223, 715, 433, 1627, 4463, 2951}},
-{1225, 14, 1361, {1, 1, 7, 1, 31, 13, 49, 33, 89, 43, 1529, 725, 3809, 3427}},
-{1226, 14, 1380, {1, 1, 7, 3, 1, 27, 45, 9, 309, 875, 659, 2661, 553, 7069}},
-{1227, 14, 1390, {1, 1, 7, 15, 13, 37, 61, 19, 125, 683, 1227, 2255, 1455, 9339}},
-{1228, 14, 1404, {1, 3, 5, 7, 19, 7, 71, 21, 465, 645, 1885, 873, 7405, 1913}},
-{1229, 14, 1435, {1, 3, 1, 11, 11, 35, 79, 61, 79, 57, 1603, 3719, 6323, 16371}},
-{1230, 14, 1444, {1, 1, 7, 1, 29, 57, 85, 21, 205, 37, 2045, 683, 4901, 8223}},
-{1231, 14, 1453, {1, 1, 5, 13, 31, 31, 65, 131, 259, 535, 967, 3943, 2605, 2089}},
-{1232, 14, 1461, {1, 1, 7, 9, 27, 61, 39, 243, 207, 41, 1909, 3279, 1331, 4635}},
-{1233, 14, 1462, {1, 3, 3, 5, 11, 63, 105, 19, 169, 95, 773, 3175, 1869, 1797}},
-{1234, 14, 1465, {1, 3, 3, 15, 13, 33, 107, 197, 153, 795, 1477, 105, 4965, 991}},
-{1235, 14, 1468, {1, 3, 7, 11, 11, 37, 23, 149, 197, 3, 1035, 3857, 553, 1059}},
-{1236, 14, 1474, {1, 3, 1, 3, 17, 29, 89, 189, 193, 59, 1477, 3517, 2565, 7739}},
-{1237, 14, 1483, {1, 1, 1, 9, 23, 3, 25, 163, 469, 305, 1791, 3393, 6141, 8119}},
-{1238, 14, 1488, {1, 3, 5, 7, 7, 41, 19, 101, 179, 487, 1071, 2761, 8043, 5103}},
-{1239, 14, 1493, {1, 1, 7, 9, 1, 21, 101, 103, 349, 85, 1841, 1033, 4473, 3563}},
-{1240, 14, 1500, {1, 1, 3, 13, 23, 61, 39, 27, 479, 13, 45, 1371, 7897, 10637}},
-{1241, 14, 1509, {1, 1, 5, 9, 17, 61, 71, 55, 355, 99, 1695, 3053, 839, 959}},
-{1242, 14, 1510, {1, 1, 3, 1, 7, 27, 87, 221, 327, 241, 461, 3177, 5933, 8299}},
-{1243, 14, 1514, {1, 3, 7, 9, 5, 41, 111, 245, 447, 263, 1363, 1767, 6331, 3355}},
-{1244, 14, 1519, {1, 3, 3, 13, 15, 11, 15, 169, 429, 149, 1965, 2477, 7733, 2499}},
-{1245, 14, 1528, {1, 1, 5, 15, 15, 47, 25, 33, 469, 701, 773, 2747, 1533, 14633}},
-{1246, 14, 1533, {1, 3, 1, 5, 19, 57, 37, 75, 423, 11, 685, 2487, 1779, 8797}},
-{1247, 14, 1540, {1, 3, 1, 5, 19, 41, 67, 99, 333, 991, 953, 3221, 939, 4197}},
-{1248, 14, 1550, {1, 3, 1, 15, 11, 39, 25, 1, 159, 679, 465, 1611, 5799, 2537}},
-{1249, 14, 1567, {1, 1, 5, 11, 5, 37, 37, 7, 101, 703, 235, 23, 2209, 12799}},
-{1250, 14, 1571, {1, 1, 7, 3, 11, 23, 71, 215, 45, 269, 1539, 3625, 5773, 6889}},
-{1251, 14, 1573, {1, 3, 5, 15, 27, 33, 105, 109, 205, 653, 821, 435, 1087, 2495}},
-{1252, 14, 1578, {1, 1, 3, 5, 11, 39, 53, 213, 41, 385, 1425, 25, 5553, 12523}},
-{1253, 14, 1598, {1, 3, 5, 15, 29, 49, 13, 253, 505, 407, 985, 2569, 6727, 4761}},
-{1254, 14, 1606, {1, 1, 1, 3, 29, 17, 69, 47, 25, 819, 1145, 2479, 1183, 3343}},
-{1255, 14, 1618, {1, 3, 1, 15, 25, 61, 43, 55, 279, 579, 361, 355, 6101, 3143}},
-{1256, 14, 1630, {1, 3, 5, 11, 3, 59, 125, 101, 451, 495, 1711, 3443, 3625, 15579}},
-{1257, 14, 1634, {1, 3, 1, 11, 25, 61, 49, 219, 23, 795, 481, 3609, 3691, 15419}},
-{1258, 14, 1640, {1, 3, 7, 5, 9, 59, 49, 233, 345, 143, 181, 3587, 3041, 1219}},
-{1259, 14, 1643, {1, 3, 7, 13, 9, 31, 39, 137, 261, 919, 1367, 3145, 4659, 5875}},
-{1260, 14, 1654, {1, 1, 3, 3, 27, 43, 95, 65, 301, 915, 31, 451, 7743, 7277}},
-{1261, 14, 1679, {1, 3, 1, 5, 23, 37, 53, 31, 203, 453, 71, 1585, 6011, 16369}},
-{1262, 14, 1688, {1, 1, 5, 1, 15, 47, 91, 227, 297, 45, 1415, 3647, 7811, 14015}},
-{1263, 14, 1698, {1, 1, 1, 1, 29, 27, 93, 121, 169, 69, 1361, 2907, 1867, 7017}},
-{1264, 14, 1703, {1, 3, 1, 7, 23, 53, 77, 41, 25, 873, 1333, 3889, 3239, 1771}},
-{1265, 14, 1704, {1, 1, 1, 7, 31, 27, 87, 81, 167, 343, 1981, 2499, 7749, 15747}},
-{1266, 14, 1722, {1, 3, 5, 13, 1, 17, 97, 37, 81, 645, 1167, 3547, 7769, 10731}},
-{1267, 14, 1735, {1, 1, 7, 5, 9, 17, 31, 55, 151, 463, 1041, 2303, 4015, 3737}},
-{1268, 14, 1750, {1, 1, 3, 11, 31, 9, 81, 213, 95, 215, 2031, 2129, 4299, 3021}},
-{1269, 14, 1753, {1, 1, 1, 3, 25, 25, 115, 229, 101, 441, 783, 1729, 7905, 2375}},
-{1270, 14, 1760, {1, 1, 5, 9, 3, 19, 73, 35, 379, 493, 1333, 1647, 13, 197}},
-{1271, 14, 1789, {1, 1, 7, 9, 3, 55, 99, 43, 281, 9, 73, 2477, 8183, 11055}},
-{1272, 14, 1792, {1, 3, 7, 13, 25, 19, 27, 195, 469, 175, 355, 1861, 7255, 15377}},
-{1273, 14, 1802, {1, 1, 3, 11, 15, 19, 115, 31, 413, 835, 697, 879, 6515, 13465}},
-{1274, 14, 1819, {1, 3, 3, 15, 3, 61, 105, 201, 151, 739, 49, 3963, 2573, 3303}},
-{1275, 14, 1825, {1, 3, 5, 7, 23, 5, 11, 215, 19, 591, 509, 2887, 1631, 4391}},
-{1276, 14, 1828, {1, 3, 3, 3, 25, 1, 109, 5, 363, 545, 1745, 503, 827, 4677}},
-{1277, 14, 1832, {1, 1, 3, 15, 1, 45, 121, 141, 497, 745, 1825, 2041, 2561, 8153}},
-{1278, 14, 1845, {1, 3, 1, 11, 29, 7, 71, 241, 7, 39, 1379, 2479, 7483, 7195}},
-{1279, 14, 1846, {1, 1, 7, 11, 3, 27, 39, 97, 339, 217, 1409, 1569, 4761, 1567}},
-{1280, 14, 1857, {1, 1, 5, 15, 11, 53, 87, 213, 297, 923, 393, 717, 3297, 16123}},
-{1281, 14, 1869, {1, 1, 1, 11, 27, 41, 121, 49, 225, 379, 1305, 319, 2461, 5445}},
-{1282, 14, 1897, {1, 1, 5, 5, 25, 3, 121, 23, 47, 843, 1679, 1427, 6393, 4199}},
-{1283, 14, 1906, {1, 1, 5, 13, 17, 3, 17, 25, 161, 487, 121, 361, 1375, 10745}},
-{1284, 14, 1908, {1, 1, 7, 3, 3, 37, 7, 245, 107, 107, 745, 2415, 2131, 11419}},
-{1285, 14, 1911, {1, 1, 5, 3, 3, 23, 67, 91, 281, 387, 465, 905, 883, 9775}},
-{1286, 14, 1934, {1, 3, 7, 15, 25, 55, 123, 49, 23, 983, 1903, 2589, 2073, 7823}},
-{1287, 14, 1962, {1, 1, 5, 11, 25, 17, 63, 229, 267, 175, 1759, 1947, 479, 11089}},
-{1288, 14, 1967, {1, 3, 7, 3, 11, 37, 83, 95, 415, 1003, 1175, 2361, 2117, 9809}},
-{1289, 14, 1972, {1, 3, 1, 9, 5, 39, 51, 129, 249, 161, 1981, 2755, 8057, 13641}},
-{1290, 14, 1975, {1, 1, 7, 1, 15, 47, 9, 197, 199, 549, 1091, 2853, 2331, 4535}},
-{1291, 14, 1999, {1, 3, 3, 13, 15, 21, 23, 111, 463, 719, 1667, 377, 5039, 10723}},
-{1292, 14, 2004, {1, 1, 3, 7, 23, 47, 39, 47, 307, 949, 1651, 2525, 5835, 1425}},
-{1293, 14, 2011, {1, 3, 3, 9, 23, 47, 111, 39, 251, 1001, 179, 3985, 535, 15435}},
-{1294, 14, 2013, {1, 1, 3, 13, 5, 45, 51, 123, 205, 651, 1583, 1691, 1631, 11975}},
-{1295, 14, 2037, {1, 1, 7, 9, 1, 29, 59, 27, 389, 497, 1459, 1633, 521, 14037}},
-{1296, 14, 2051, {1, 1, 3, 3, 3, 23, 35, 247, 371, 729, 931, 681, 1777, 8353}},
-{1297, 14, 2063, {1, 3, 3, 1, 19, 15, 17, 191, 495, 643, 319, 37, 5691, 7049}},
-{1298, 14, 2066, {1, 3, 5, 11, 5, 31, 123, 243, 335, 573, 113, 209, 4825, 7783}},
-{1299, 14, 2094, {1, 3, 7, 7, 29, 19, 25, 191, 89, 515, 55, 3013, 4523, 12913}},
-{1300, 14, 2128, {1, 1, 3, 3, 15, 3, 35, 37, 339, 7, 697, 359, 4553, 1431}},
-{1301, 14, 2154, {1, 3, 1, 1, 9, 15, 33, 77, 161, 13, 255, 1187, 6587, 11715}},
-{1302, 14, 2164, {1, 3, 7, 7, 25, 57, 61, 171, 231, 43, 1219, 903, 5623, 4781}},
-{1303, 14, 2198, {1, 1, 5, 15, 29, 47, 117, 23, 213, 907, 1423, 369, 4529, 9651}},
-{1304, 14, 2217, {1, 1, 5, 7, 15, 55, 105, 249, 401, 37, 1885, 3779, 3441, 9057}},
-{1305, 14, 2220, {1, 1, 5, 3, 3, 27, 49, 89, 335, 561, 1235, 3251, 2731, 12711}},
-{1306, 14, 2223, {1, 1, 1, 15, 29, 49, 37, 173, 25, 743, 1321, 821, 5899, 9213}},
-{1307, 14, 2238, {1, 1, 7, 3, 1, 41, 61, 209, 275, 925, 521, 3029, 1569, 9277}},
-{1308, 14, 2245, {1, 3, 5, 13, 17, 1, 11, 171, 441, 119, 1589, 299, 157, 11439}},
-{1309, 14, 2252, {1, 1, 5, 9, 13, 33, 27, 77, 363, 939, 1103, 2135, 1759, 5429}},
-{1310, 14, 2258, {1, 3, 7, 1, 17, 39, 49, 201, 49, 803, 2003, 1193, 7415, 13847}},
-{1311, 14, 2264, {1, 1, 5, 5, 17, 49, 39, 19, 311, 801, 1441, 3263, 7973, 14181}},
-{1312, 14, 2280, {1, 1, 3, 9, 9, 27, 59, 89, 81, 473, 1369, 3121, 7929, 10905}},
-{1313, 14, 2285, {1, 3, 3, 5, 17, 35, 35, 239, 379, 431, 501, 3561, 2059, 9679}},
-{1314, 14, 2293, {1, 3, 5, 15, 25, 29, 113, 179, 269, 891, 301, 2017, 7513, 9379}},
-{1315, 14, 2294, {1, 3, 1, 11, 17, 35, 49, 149, 135, 661, 1691, 3169, 3765, 9003}},
-{1316, 14, 2298, {1, 3, 7, 15, 5, 21, 53, 241, 475, 271, 683, 2351, 2181, 6333}},
-{1317, 14, 2303, {1, 1, 7, 13, 25, 33, 71, 153, 221, 507, 2017, 2401, 7545, 8489}},
-{1318, 14, 2306, {1, 1, 7, 5, 1, 49, 87, 1, 179, 331, 1597, 3713, 809, 11109}},
-{1319, 14, 2311, {1, 3, 1, 5, 5, 61, 93, 39, 479, 977, 1099, 1291, 7049, 2797}},
-{1320, 14, 2326, {1, 3, 1, 13, 19, 41, 57, 77, 5, 117, 125, 115, 3969, 1345}},
-{1321, 14, 2354, {1, 1, 1, 9, 15, 9, 57, 7, 219, 41, 767, 23, 5771, 14175}},
-{1322, 14, 2373, {1, 3, 7, 9, 17, 61, 1, 59, 227, 349, 63, 189, 3871, 7919}},
-{1323, 14, 2380, {1, 3, 5, 5, 9, 29, 33, 203, 413, 701, 1129, 2103, 1889, 8377}},
-{1324, 14, 2385, {1, 1, 3, 1, 9, 17, 69, 115, 123, 1001, 1, 2893, 3957, 8593}},
-{1325, 14, 2392, {1, 1, 3, 1, 31, 41, 83, 91, 113, 195, 1121, 2665, 6815, 1189}},
-{1326, 14, 2401, {1, 1, 1, 13, 3, 59, 13, 123, 95, 103, 1689, 2809, 5049, 4055}},
-{1327, 14, 2402, {1, 1, 1, 15, 21, 41, 11, 167, 375, 589, 207, 1631, 1597, 8091}},
-{1328, 14, 2408, {1, 3, 5, 5, 1, 33, 57, 89, 157, 921, 1353, 2777, 461, 14567}},
-{1329, 14, 2419, {1, 1, 5, 1, 25, 5, 51, 247, 1, 577, 463, 3741, 303, 16059}},
-{1330, 14, 2450, {1, 1, 7, 5, 13, 7, 17, 87, 51, 987, 835, 93, 5203, 3973}},
-{1331, 14, 2452, {1, 1, 7, 7, 3, 27, 7, 1, 135, 171, 231, 3349, 4459, 2925}},
-{1332, 14, 2477, {1, 1, 5, 5, 9, 51, 71, 153, 115, 315, 265, 2207, 4127, 12631}},
-{1333, 14, 2509, {1, 1, 3, 15, 23, 59, 35, 121, 425, 921, 1255, 2123, 5811, 15937}},
-{1334, 14, 2510, {1, 3, 7, 7, 11, 21, 45, 57, 269, 395, 555, 783, 6677, 2889}},
-{1335, 14, 2515, {1, 3, 5, 7, 31, 19, 73, 35, 465, 349, 1429, 863, 4707, 6121}},
-{1336, 14, 2524, {1, 3, 3, 9, 25, 27, 119, 159, 195, 949, 19, 73, 4511, 15711}},
-{1337, 14, 2527, {1, 3, 3, 7, 9, 59, 47, 57, 91, 749, 1579, 1297, 2445, 5167}},
-{1338, 14, 2531, {1, 3, 3, 3, 31, 57, 19, 203, 61, 927, 1477, 2863, 1305, 11673}},
-{1339, 14, 2552, {1, 3, 7, 11, 29, 13, 3, 111, 351, 79, 1863, 2213, 3273, 7049}},
-{1340, 14, 2561, {1, 3, 3, 9, 7, 23, 47, 237, 121, 877, 441, 119, 2723, 3989}},
-{1341, 14, 2567, {1, 3, 3, 11, 17, 23, 63, 177, 231, 363, 1451, 33, 2169, 7251}},
-{1342, 14, 2571, {1, 1, 5, 11, 31, 41, 93, 229, 39, 1009, 1061, 433, 2393, 15401}},
-{1343, 14, 2586, {1, 1, 5, 15, 31, 37, 25, 135, 135, 897, 33, 3713, 7663, 8079}},
-{1344, 14, 2588, {1, 1, 5, 7, 17, 49, 43, 89, 411, 731, 1431, 3893, 1635, 7063}},
-{1345, 14, 2595, {1, 1, 1, 13, 29, 27, 5, 77, 283, 913, 789, 817, 3309, 475}},
-{1346, 14, 2607, {1, 1, 3, 1, 19, 21, 67, 77, 423, 551, 5, 1057, 5469, 7859}},
-{1347, 14, 2621, {1, 1, 5, 1, 1, 21, 99, 237, 215, 759, 1505, 1983, 1517, 8923}},
-{1348, 14, 2630, {1, 3, 5, 7, 19, 61, 73, 215, 165, 127, 205, 259, 7755, 15395}},
-{1349, 14, 2639, {1, 1, 5, 9, 15, 23, 17, 111, 471, 751, 1923, 775, 6901, 13095}},
-{1350, 14, 2653, {1, 1, 7, 1, 25, 5, 63, 141, 461, 687, 1589, 1559, 7719, 11349}},
-{1351, 14, 2670, {1, 1, 1, 3, 11, 63, 11, 27, 253, 439, 297, 1315, 829, 3765}},
-{1352, 14, 2672, {1, 3, 1, 1, 9, 47, 127, 179, 173, 809, 241, 35, 7355, 5049}},
-{1353, 14, 2700, {1, 3, 1, 11, 19, 63, 93, 1, 205, 977, 303, 3409, 6529, 10927}},
-{1354, 14, 2711, {1, 3, 7, 9, 31, 63, 41, 79, 477, 91, 1801, 3487, 6885, 13341}},
-{1355, 14, 2715, {1, 1, 3, 7, 15, 59, 9, 101, 459, 247, 549, 2855, 5765, 7785}},
-{1356, 14, 2748, {1, 1, 7, 3, 13, 59, 71, 123, 93, 517, 1453, 2389, 4429, 5053}},
-{1357, 14, 2751, {1, 1, 5, 3, 19, 21, 77, 53, 81, 879, 1653, 1637, 3667, 2623}},
-{1358, 14, 2753, {1, 1, 1, 15, 17, 57, 65, 53, 407, 765, 417, 497, 5009, 2175}},
-{1359, 14, 2754, {1, 3, 3, 7, 31, 13, 5, 203, 263, 17, 119, 1607, 6773, 11195}},
-{1360, 14, 2760, {1, 3, 3, 13, 19, 13, 13, 147, 93, 735, 689, 781, 655, 6853}},
-{1361, 14, 2774, {1, 1, 1, 1, 1, 25, 63, 159, 493, 987, 71, 1249, 5859, 11717}},
-{1362, 14, 2784, {1, 1, 1, 15, 13, 23, 61, 61, 5, 947, 1853, 3331, 467, 8081}},
-{1363, 14, 2793, {1, 1, 3, 9, 19, 61, 65, 189, 95, 309, 283, 1725, 5683, 15463}},
-{1364, 14, 2804, {1, 1, 7, 5, 9, 33, 35, 75, 475, 831, 1445, 1485, 5047, 9631}},
-{1365, 14, 2811, {1, 1, 3, 15, 11, 23, 59, 87, 433, 221, 685, 3113, 4095, 13819}},
-{1366, 14, 2822, {1, 1, 7, 15, 25, 29, 67, 17, 349, 353, 1321, 563, 57, 533}},
-{1367, 14, 2826, {1, 3, 3, 3, 5, 43, 109, 217, 15, 185, 1895, 1015, 1831, 10623}},
-{1368, 14, 2836, {1, 1, 7, 1, 1, 47, 81, 185, 59, 691, 191, 3709, 1535, 13347}},
-{1369, 14, 2839, {1, 1, 5, 1, 23, 57, 83, 217, 457, 771, 1877, 2789, 8143, 4797}},
-{1370, 14, 2840, {1, 1, 3, 7, 23, 35, 79, 49, 227, 205, 1523, 3873, 4843, 10505}},
-{1371, 14, 2893, {1, 1, 1, 1, 17, 43, 121, 95, 205, 35, 189, 2061, 1693, 13273}},
-{1372, 14, 2901, {1, 1, 1, 15, 31, 49, 83, 249, 433, 497, 1949, 1845, 5215, 5971}},
-{1373, 14, 2902, {1, 3, 1, 1, 21, 53, 73, 211, 265, 929, 923, 279, 3621, 9469}},
-{1374, 14, 2905, {1, 3, 7, 7, 1, 57, 13, 45, 467, 705, 371, 1345, 1647, 3411}},
-{1375, 14, 2912, {1, 3, 1, 11, 27, 29, 117, 163, 143, 669, 489, 3913, 7891, 9031}},
-{1376, 14, 2915, {1, 3, 7, 15, 27, 15, 77, 217, 107, 839, 1517, 1543, 357, 10365}},
-{1377, 14, 2918, {1, 1, 1, 5, 31, 17, 107, 245, 345, 939, 1453, 3645, 6865, 16173}},
-{1378, 14, 2939, {1, 3, 5, 5, 9, 61, 43, 97, 453, 917, 945, 2143, 5473, 5611}},
-{1379, 14, 2965, {1, 1, 5, 11, 3, 33, 71, 97, 137, 549, 1605, 3839, 4883, 2677}},
-{1380, 14, 2966, {1, 3, 1, 11, 29, 23, 85, 47, 225, 633, 1613, 1297, 1415, 15813}},
-{1381, 14, 2975, {1, 1, 3, 3, 9, 19, 57, 107, 79, 449, 1951, 753, 6317, 10377}},
-{1382, 14, 2988, {1, 1, 1, 5, 21, 3, 39, 187, 299, 517, 1313, 741, 7259, 4197}},
-{1383, 14, 2993, {1, 1, 5, 13, 1, 39, 39, 41, 381, 123, 1257, 3185, 493, 3723}},
-{1384, 14, 3006, {1, 3, 7, 7, 3, 37, 15, 161, 129, 169, 555, 3605, 4287, 15831}},
-{1385, 14, 3017, {1, 3, 7, 15, 15, 23, 81, 163, 257, 791, 505, 1903, 2703, 11919}},
-{1386, 14, 3031, {1, 3, 7, 7, 27, 63, 17, 147, 111, 851, 1533, 1365, 5359, 3315}},
-{1387, 14, 3038, {1, 3, 7, 1, 15, 5, 61, 143, 385, 261, 1019, 1705, 1737, 14485}},
-{1388, 14, 3041, {1, 3, 5, 5, 25, 17, 49, 229, 431, 567, 1613, 3431, 2139, 2981}},
-{1389, 14, 3042, {1, 3, 5, 11, 17, 57, 71, 241, 31, 1007, 1695, 2965, 149, 14125}},
-{1390, 14, 3051, {1, 1, 3, 11, 7, 49, 39, 101, 5, 501, 1491, 3061, 225, 12255}},
-{1391, 14, 3073, {1, 3, 5, 7, 17, 35, 37, 97, 415, 15, 1349, 997, 2949, 4511}},
-{1392, 14, 3088, {1, 3, 1, 5, 25, 35, 99, 183, 161, 59, 1363, 515, 3767, 3641}},
-{1393, 14, 3097, {1, 1, 7, 15, 7, 15, 127, 137, 281, 67, 139, 2315, 3517, 13371}},
-{1394, 14, 3098, {1, 1, 5, 15, 23, 49, 19, 79, 425, 805, 1035, 429, 7707, 14195}},
-{1395, 14, 3103, {1, 3, 5, 3, 21, 25, 123, 11, 425, 475, 961, 2995, 7405, 5449}},
-{1396, 14, 3104, {1, 1, 7, 1, 21, 1, 75, 231, 451, 595, 719, 2369, 5907, 1227}},
-{1397, 14, 3146, {1, 1, 1, 9, 21, 57, 45, 255, 19, 79, 481, 3363, 3451, 8399}},
-{1398, 14, 3148, {1, 1, 7, 13, 31, 49, 95, 69, 483, 427, 37, 4047, 7057, 9111}},
-{1399, 14, 3153, {1, 3, 3, 11, 3, 61, 87, 79, 499, 91, 771, 1987, 2017, 3381}},
-{1400, 14, 3159, {1, 3, 1, 7, 5, 57, 1, 121, 155, 225, 501, 477, 6555, 9863}},
-{1401, 14, 3182, {1, 3, 7, 11, 27, 49, 83, 213, 61, 283, 1599, 3205, 2525, 8553}},
-{1402, 14, 3187, {1, 1, 1, 9, 9, 49, 3, 51, 141, 33, 301, 2167, 587, 15067}},
-{1403, 14, 3189, {1, 1, 1, 11, 7, 55, 99, 81, 191, 553, 953, 3753, 6731, 1093}},
-{1404, 14, 3199, {1, 1, 3, 3, 11, 59, 57, 235, 297, 197, 853, 1411, 3799, 7527}},
-{1405, 14, 3239, {1, 3, 5, 3, 7, 7, 5, 201, 393, 95, 91, 3273, 6285, 10661}},
-{1406, 14, 3263, {1, 1, 5, 7, 17, 57, 87, 3, 413, 915, 659, 369, 3593, 14429}},
-{1407, 14, 3271, {1, 3, 7, 1, 31, 31, 45, 115, 417, 427, 745, 4087, 953, 1119}},
-{1408, 14, 3275, {1, 3, 7, 3, 29, 43, 45, 221, 41, 641, 451, 173, 2999, 12103}},
-{1409, 14, 3278, {1, 1, 3, 11, 25, 57, 117, 201, 135, 787, 1525, 3879, 3247, 8907}},
-{1410, 14, 3280, {1, 1, 7, 11, 3, 35, 69, 157, 331, 615, 573, 2169, 3575, 289}},
-{1411, 14, 3283, {1, 3, 3, 13, 15, 51, 67, 127, 265, 495, 103, 3145, 2685, 15919}},
-{1412, 14, 3290, {1, 3, 5, 11, 31, 27, 65, 57, 153, 465, 1163, 467, 4103, 4713}},
-{1413, 14, 3311, {1, 3, 7, 3, 23, 31, 9, 51, 239, 417, 1597, 229, 2865, 15199}},
-{1414, 14, 3316, {1, 3, 5, 3, 11, 45, 123, 217, 31, 765, 1009, 2001, 3645, 9407}},
-{1415, 14, 3343, {1, 3, 3, 9, 5, 23, 117, 83, 237, 1017, 251, 1187, 2631, 5151}},
-{1416, 14, 3346, {1, 1, 1, 7, 23, 55, 97, 141, 501, 305, 467, 4061, 2369, 15973}},
-{1417, 14, 3357, {1, 1, 7, 5, 31, 51, 125, 191, 219, 495, 37, 3337, 813, 241}},
-{1418, 14, 3358, {1, 3, 1, 1, 11, 39, 93, 109, 285, 147, 1297, 737, 4051, 7223}},
-{1419, 14, 3361, {1, 3, 1, 15, 13, 17, 57, 171, 463, 163, 609, 1681, 7583, 9231}},
-{1420, 14, 3362, {1, 3, 1, 1, 23, 5, 51, 5, 205, 415, 419, 989, 4239, 10943}},
-{1421, 14, 3364, {1, 1, 3, 15, 3, 13, 65, 145, 387, 59, 395, 1067, 4143, 5649}},
-{1422, 14, 3386, {1, 3, 1, 13, 9, 59, 121, 127, 95, 71, 1541, 1423, 1753, 8041}},
-{1423, 14, 3418, {1, 1, 3, 15, 7, 5, 69, 167, 181, 991, 1189, 4017, 5935, 6669}},
-{1424, 14, 3424, {1, 3, 5, 7, 23, 41, 53, 21, 47, 261, 1231, 2011, 133, 2247}},
-{1425, 14, 3433, {1, 1, 1, 5, 17, 47, 77, 19, 331, 609, 1893, 3965, 3123, 9093}},
-{1426, 14, 3434, {1, 3, 1, 3, 9, 39, 103, 231, 249, 75, 373, 107, 1823, 10801}},
-{1427, 14, 3436, {1, 3, 3, 7, 1, 51, 35, 111, 137, 879, 1221, 225, 4285, 2287}},
-{1428, 14, 3463, {1, 1, 7, 9, 23, 17, 75, 245, 409, 163, 395, 3731, 7111, 6845}},
-{1429, 14, 3467, {1, 1, 3, 13, 29, 47, 75, 153, 497, 621, 1691, 3187, 2125, 10533}},
-{1430, 14, 3477, {1, 1, 7, 7, 9, 7, 55, 159, 255, 417, 1335, 643, 3843, 3733}},
-{1431, 14, 3484, {1, 3, 3, 1, 21, 41, 7, 21, 5, 679, 1655, 95, 5699, 5785}},
-{1432, 14, 3505, {1, 1, 1, 13, 19, 7, 85, 7, 195, 357, 1097, 2893, 2913, 9635}},
-{1433, 14, 3508, {1, 1, 5, 9, 25, 33, 41, 155, 39, 655, 1993, 3117, 3639, 7977}},
-{1434, 14, 3515, {1, 1, 1, 13, 3, 63, 121, 247, 151, 673, 609, 285, 2299, 7663}},
-{1435, 14, 3532, {1, 3, 7, 11, 17, 13, 49, 253, 245, 21, 273, 993, 911, 863}},
-{1436, 14, 3553, {1, 1, 5, 5, 23, 1, 121, 95, 225, 9, 1237, 1183, 6461, 559}},
-{1437, 14, 3554, {1, 3, 7, 13, 3, 7, 121, 151, 233, 561, 281, 3583, 897, 1767}},
-{1438, 14, 3568, {1, 1, 7, 7, 9, 47, 107, 41, 25, 569, 1697, 2299, 6231, 12209}},
-{1439, 14, 3573, {1, 3, 7, 7, 27, 43, 59, 37, 31, 51, 503, 149, 4043, 11847}},
-{1440, 14, 3587, {1, 3, 3, 11, 5, 1, 119, 181, 47, 641, 685, 4017, 637, 16251}},
-{1441, 14, 3589, {1, 3, 3, 7, 11, 1, 101, 7, 239, 747, 307, 1721, 5979, 4367}},
-{1442, 14, 3596, {1, 3, 5, 7, 1, 63, 19, 151, 469, 333, 1587, 2453, 897, 4711}},
-{1443, 14, 3608, {1, 3, 1, 5, 11, 61, 21, 253, 91, 993, 1347, 1993, 5607, 13031}},
-{1444, 14, 3620, {1, 3, 5, 5, 1, 39, 65, 71, 189, 389, 1437, 1055, 6439, 3989}},
-{1445, 14, 3630, {1, 1, 3, 3, 19, 15, 93, 3, 339, 165, 1675, 3953, 2145, 12113}},
-{1446, 14, 3644, {1, 1, 3, 13, 13, 45, 5, 175, 211, 993, 705, 2761, 3023, 13633}},
-{1447, 14, 3649, {1, 1, 3, 1, 19, 39, 121, 29, 287, 87, 281, 3491, 7107, 13007}},
-{1448, 14, 3664, {1, 1, 7, 1, 29, 49, 103, 187, 39, 923, 51, 1533, 3249, 4399}},
-{1449, 14, 3679, {1, 1, 5, 5, 5, 43, 25, 107, 453, 955, 115, 57, 4589, 14573}},
-{1450, 14, 3680, {1, 1, 3, 5, 21, 45, 103, 99, 183, 987, 1207, 1697, 8033, 13703}},
-{1451, 14, 3685, {1, 1, 5, 7, 11, 23, 9, 17, 261, 749, 1957, 935, 6283, 8625}},
-{1452, 14, 3686, {1, 1, 1, 9, 9, 51, 69, 225, 265, 323, 1161, 2993, 7305, 2249}},
-{1453, 14, 3698, {1, 3, 1, 9, 23, 19, 57, 205, 503, 489, 1499, 3277, 817, 11931}},
-{1454, 14, 3714, {1, 3, 3, 5, 1, 7, 49, 1, 313, 123, 643, 2027, 1469, 3585}},
-{1455, 14, 3726, {1, 3, 7, 11, 27, 47, 95, 111, 27, 213, 465, 3693, 3661, 7531}},
-{1456, 14, 3737, {1, 1, 7, 9, 3, 37, 115, 189, 31, 613, 1393, 1229, 4767, 12425}},
-{1457, 14, 3767, {1, 1, 3, 3, 25, 17, 99, 47, 161, 931, 959, 1293, 7095, 8325}},
-{1458, 14, 3782, {1, 1, 1, 7, 23, 9, 11, 51, 205, 419, 479, 1497, 2493, 13921}},
-{1459, 14, 3786, {1, 3, 1, 9, 17, 29, 51, 79, 159, 435, 477, 413, 3815, 5589}},
-{1460, 14, 3793, {1, 3, 7, 5, 7, 23, 99, 43, 169, 665, 403, 1163, 4337, 1335}},
-{1461, 14, 3796, {1, 3, 1, 5, 25, 27, 125, 249, 421, 267, 1259, 4089, 59, 9377}},
-{1462, 14, 3805, {1, 3, 3, 1, 27, 37, 91, 17, 123, 597, 1749, 3449, 6503, 11043}},
-{1463, 14, 3815, {1, 3, 7, 7, 23, 41, 19, 245, 109, 569, 547, 1917, 7943, 2697}},
-{1464, 14, 3841, {1, 3, 7, 7, 9, 1, 123, 105, 329, 435, 2013, 2745, 347, 11045}},
-{1465, 14, 3847, {1, 1, 1, 13, 29, 53, 51, 67, 105, 89, 1887, 3543, 963, 8159}},
-{1466, 14, 3853, {1, 1, 5, 3, 5, 27, 41, 67, 67, 883, 973, 1785, 901, 14969}},
-{1467, 14, 3862, {1, 3, 3, 13, 17, 11, 117, 115, 163, 939, 79, 641, 4365, 2267}},
-{1468, 14, 3875, {1, 1, 3, 3, 9, 5, 41, 123, 149, 9, 1533, 3939, 5995, 12701}},
-{1469, 14, 3902, {1, 1, 1, 15, 31, 1, 101, 229, 191, 965, 61, 2671, 4177, 15779}},
-{1470, 14, 3904, {1, 1, 5, 15, 1, 25, 49, 185, 33, 697, 1043, 2639, 7819, 3171}},
-{1471, 14, 3916, {1, 3, 5, 13, 19, 9, 111, 49, 47, 847, 1865, 717, 5287, 13417}},
-{1472, 14, 3947, {1, 3, 7, 11, 5, 61, 63, 111, 171, 735, 2003, 73, 5701, 647}},
-{1473, 14, 3949, {1, 3, 1, 11, 1, 49, 121, 79, 431, 671, 1241, 1161, 2057, 263}},
-{1474, 14, 3955, {1, 3, 3, 1, 1, 23, 75, 15, 117, 641, 313, 1525, 2041, 1409}},
-{1475, 14, 3962, {1, 3, 5, 11, 15, 57, 13, 67, 139, 131, 1339, 2419, 7945, 11877}},
-{1476, 14, 3971, {1, 3, 1, 1, 19, 39, 97, 83, 297, 595, 1611, 5, 4753, 3435}},
-{1477, 14, 3980, {1, 3, 1, 9, 7, 49, 125, 101, 383, 717, 63, 2295, 3873, 13461}},
-{1478, 14, 3985, {1, 1, 3, 3, 15, 29, 89, 77, 269, 689, 229, 1207, 7311, 8663}},
-{1479, 14, 3998, {1, 1, 1, 1, 1, 61, 25, 255, 203, 233, 271, 987, 2277, 8735}},
-{1480, 14, 4001, {1, 1, 5, 7, 21, 27, 63, 79, 337, 133, 1453, 3633, 6157, 15875}},
-{1481, 14, 4002, {1, 3, 1, 7, 7, 55, 31, 81, 203, 709, 1743, 1677, 4247, 11411}},
-{1482, 14, 4016, {1, 1, 3, 3, 29, 51, 37, 17, 487, 325, 1393, 1433, 3467, 2851}},
-{1483, 14, 4021, {1, 1, 7, 9, 3, 41, 99, 177, 241, 869, 739, 2729, 4585, 14801}},
-{1484, 14, 4026, {1, 1, 3, 1, 9, 43, 97, 65, 99, 295, 1693, 2083, 3241, 4073}},
-{1485, 14, 4043, {1, 1, 1, 9, 5, 39, 67, 119, 235, 543, 795, 2773, 3195, 6273}},
-{1486, 14, 4079, {1, 1, 5, 5, 21, 41, 89, 1, 85, 81, 57, 2951, 1531, 10101}},
-{1487, 14, 4102, {1, 1, 1, 7, 3, 35, 127, 69, 39, 265, 1643, 2973, 267, 12365}},
-{1488, 14, 4106, {1, 3, 1, 1, 21, 57, 99, 205, 119, 477, 1771, 1989, 2761, 12573}},
-{1489, 14, 4119, {1, 1, 3, 13, 1, 59, 93, 125, 279, 935, 1877, 2061, 4845, 7835}},
-{1490, 14, 4126, {1, 1, 7, 9, 7, 45, 69, 99, 273, 35, 1579, 2137, 7175, 6999}},
-{1491, 14, 4147, {1, 1, 7, 7, 29, 21, 127, 91, 9, 383, 787, 1783, 601, 5047}},
-{1492, 14, 4149, {1, 1, 7, 13, 7, 29, 35, 219, 43, 581, 2043, 2211, 6169, 12173}},
-{1493, 14, 4164, {1, 3, 5, 13, 29, 29, 39, 63, 411, 645, 415, 2383, 1989, 11411}},
-{1494, 14, 4174, {1, 1, 7, 9, 15, 9, 87, 95, 321, 709, 543, 3831, 2453, 4167}},
-{1495, 14, 4181, {1, 3, 1, 5, 31, 25, 5, 85, 239, 487, 1613, 3937, 4661, 3535}},
-{1496, 14, 4185, {1, 3, 5, 11, 27, 41, 3, 201, 39, 91, 1997, 237, 5639, 14703}},
-{1497, 14, 4188, {1, 1, 7, 3, 27, 49, 87, 71, 473, 247, 1007, 47, 475, 5413}},
-{1498, 14, 4202, {1, 3, 7, 15, 9, 57, 81, 149, 287, 333, 1911, 3417, 1081, 8995}},
-{1499, 14, 4228, {1, 1, 5, 1, 3, 63, 43, 151, 97, 431, 961, 1019, 5153, 2407}},
-{1500, 14, 4232, {1, 1, 5, 5, 27, 21, 127, 161, 507, 311, 129, 3489, 1133, 3241}},
-{1501, 14, 4246, {1, 3, 7, 15, 21, 33, 117, 83, 497, 667, 1399, 931, 1695, 8171}},
-{1502, 14, 4252, {1, 1, 1, 13, 3, 39, 53, 27, 193, 993, 671, 1871, 7579, 11457}},
-{1503, 14, 4256, {1, 1, 5, 11, 7, 39, 81, 107, 195, 387, 849, 395, 1317, 6487}},
-{1504, 14, 4286, {1, 3, 3, 3, 3, 15, 45, 127, 279, 111, 331, 357, 4637, 4697}},
-{1505, 14, 4303, {1, 1, 3, 9, 21, 49, 47, 97, 61, 101, 181, 1867, 1201, 14099}},
-{1506, 14, 4306, {1, 1, 5, 11, 25, 19, 51, 51, 101, 451, 545, 101, 7497, 9141}},
-{1507, 14, 4311, {1, 1, 1, 3, 13, 53, 119, 81, 377, 245, 765, 251, 3757, 16045}},
-{1508, 14, 4317, {1, 1, 1, 3, 5, 61, 65, 37, 331, 925, 1439, 3219, 2843, 11397}},
-{1509, 14, 4342, {1, 3, 5, 9, 23, 31, 95, 155, 83, 641, 1129, 135, 477, 1623}},
-{1510, 14, 4346, {1, 1, 3, 9, 9, 61, 93, 11, 331, 585, 799, 1417, 1533, 463}},
-{1511, 14, 4377, {1, 1, 7, 7, 21, 51, 61, 29, 467, 935, 11, 3357, 1087, 12337}},
-{1512, 14, 4401, {1, 3, 3, 11, 1, 39, 103, 153, 351, 893, 1823, 835, 2149, 4203}},
-{1513, 14, 4407, {1, 1, 1, 9, 31, 13, 61, 235, 369, 359, 835, 2067, 2697, 15289}},
-{1514, 14, 4414, {1, 1, 7, 1, 15, 1, 107, 27, 201, 451, 1521, 313, 3195, 3847}},
-{1515, 14, 4422, {1, 1, 5, 13, 1, 27, 63, 137, 355, 489, 2039, 1015, 2519, 13797}},
-{1516, 14, 4431, {1, 1, 7, 9, 29, 33, 23, 197, 49, 555, 1087, 3447, 7299, 15513}},
-{1517, 14, 4434, {1, 3, 5, 11, 7, 37, 55, 63, 443, 573, 1715, 631, 3405, 6155}},
-{1518, 14, 4436, {1, 3, 3, 3, 31, 35, 51, 167, 225, 617, 2007, 2555, 6819, 12709}},
-{1519, 14, 4443, {1, 1, 1, 13, 15, 5, 73, 85, 109, 43, 1067, 3941, 1125, 10269}},
-{1520, 14, 4459, {1, 1, 7, 11, 17, 3, 127, 145, 279, 19, 1007, 3287, 4751, 12507}},
-{1521, 14, 4461, {1, 3, 7, 3, 19, 1, 117, 111, 193, 435, 47, 1801, 529, 8547}},
-{1522, 14, 4462, {1, 3, 3, 13, 1, 19, 101, 19, 469, 187, 207, 1243, 8153, 3273}},
-{1523, 14, 4473, {1, 3, 1, 5, 11, 51, 69, 189, 453, 775, 241, 3331, 4067, 14759}},
-{1524, 14, 4497, {1, 1, 1, 1, 23, 55, 113, 133, 497, 731, 391, 2777, 3529, 955}},
-{1525, 14, 4504, {1, 3, 1, 11, 5, 49, 59, 35, 261, 949, 325, 3595, 7433, 11099}},
-{1526, 14, 4507, {1, 3, 5, 9, 13, 37, 103, 219, 329, 865, 1787, 2497, 7249, 9877}},
-{1527, 14, 4525, {1, 3, 7, 9, 11, 33, 19, 255, 191, 935, 1115, 1901, 1577, 9623}},
-{1528, 14, 4534, {1, 1, 5, 7, 29, 23, 77, 43, 283, 143, 1211, 73, 2835, 10235}},
-{1529, 14, 4538, {1, 1, 7, 3, 3, 27, 35, 173, 453, 425, 1225, 3023, 2159, 8433}},
-{1530, 14, 4548, {1, 1, 1, 5, 27, 21, 35, 25, 71, 145, 1545, 523, 4527, 7655}},
-{1531, 14, 4552, {1, 1, 5, 3, 13, 49, 61, 157, 113, 775, 763, 1785, 225, 11851}},
-{1532, 14, 4560, {1, 1, 3, 1, 31, 57, 97, 229, 291, 777, 213, 4067, 921, 8203}},
-{1533, 14, 4575, {1, 1, 5, 1, 25, 13, 125, 123, 263, 207, 119, 3111, 3841, 843}},
-{1534, 14, 4599, {1, 1, 7, 7, 25, 57, 81, 129, 31, 133, 1869, 2949, 5563, 14965}},
-{1535, 14, 4612, {1, 3, 3, 7, 3, 51, 33, 127, 281, 425, 1253, 405, 7941, 8799}},
-{1536, 14, 4619, {1, 1, 3, 9, 3, 63, 93, 173, 255, 609, 49, 111, 7785, 15865}},
-{1537, 14, 4640, {1, 1, 1, 3, 17, 59, 113, 55, 155, 789, 1335, 177, 3071, 1851}},
-{1538, 14, 4643, {1, 3, 7, 15, 15, 23, 35, 35, 131, 623, 47, 437, 1337, 9891}},
-{1539, 14, 4677, {1, 3, 7, 5, 29, 57, 39, 31, 111, 271, 59, 1473, 949, 3899}},
-{1540, 14, 4687, {1, 1, 3, 11, 17, 19, 41, 229, 259, 691, 1455, 3023, 7455, 9711}},
-{1541, 14, 4723, {1, 3, 5, 11, 29, 13, 9, 165, 499, 355, 1415, 1395, 7595, 15571}},
-{1542, 14, 4730, {1, 3, 1, 9, 5, 5, 25, 247, 185, 241, 1325, 3133, 7471, 2649}},
-{1543, 14, 4736, {1, 3, 3, 11, 17, 29, 57, 61, 51, 203, 993, 1837, 3785, 15163}},
-{1544, 14, 4741, {1, 1, 7, 7, 21, 57, 79, 165, 277, 133, 93, 1055, 7169, 15685}},
-{1545, 14, 4763, {1, 1, 5, 3, 5, 17, 25, 177, 95, 323, 367, 1359, 4915, 6409}},
-{1546, 14, 4765, {1, 1, 1, 1, 11, 25, 115, 45, 373, 221, 1483, 591, 6561, 4527}},
-{1547, 14, 4770, {1, 3, 5, 3, 5, 23, 69, 77, 313, 473, 1037, 4045, 3969, 5445}},
-{1548, 14, 4781, {1, 3, 1, 5, 1, 15, 73, 83, 439, 463, 203, 361, 6835, 1061}},
-{1549, 14, 4808, {1, 1, 3, 11, 21, 5, 89, 233, 405, 253, 773, 3901, 6085, 5677}},
-{1550, 14, 4822, {1, 1, 3, 9, 15, 53, 71, 29, 101, 599, 1073, 705, 4507, 12779}},
-{1551, 14, 4828, {1, 1, 3, 1, 3, 9, 27, 97, 207, 859, 417, 735, 2179, 5071}},
-{1552, 14, 4831, {1, 1, 1, 3, 13, 63, 65, 125, 195, 611, 649, 2221, 3143, 143}},
-{1553, 14, 4842, {1, 3, 3, 15, 17, 57, 99, 119, 243, 407, 1229, 813, 5245, 1893}},
-{1554, 14, 4855, {1, 1, 1, 5, 27, 27, 49, 13, 313, 287, 473, 2629, 3509, 11371}},
-{1555, 14, 4859, {1, 1, 7, 7, 23, 3, 75, 59, 245, 689, 1215, 2375, 3325, 1593}},
-{1556, 14, 4867, {1, 3, 1, 5, 21, 51, 43, 107, 91, 611, 1405, 677, 2087, 9565}},
-{1557, 14, 4870, {1, 3, 7, 11, 9, 27, 81, 101, 449, 201, 1507, 2217, 6767, 8059}},
-{1558, 14, 4881, {1, 1, 3, 9, 13, 41, 21, 195, 421, 315, 347, 2621, 2359, 9247}},
-{1559, 14, 4893, {1, 1, 5, 7, 31, 45, 77, 229, 455, 575, 1087, 1147, 2273, 13773}},
-{1560, 14, 4910, {1, 1, 1, 1, 9, 5, 87, 19, 207, 545, 1435, 495, 1299, 4947}},
-{1561, 14, 4917, {1, 1, 3, 3, 15, 9, 63, 67, 219, 735, 1911, 2361, 6503, 11977}},
-{1562, 14, 4929, {1, 3, 1, 9, 31, 27, 103, 153, 81, 939, 461, 2753, 697, 537}},
-{1563, 14, 4939, {1, 3, 3, 9, 21, 53, 49, 211, 415, 817, 321, 3775, 2921, 9473}},
-{1564, 14, 4947, {1, 1, 7, 3, 23, 55, 15, 51, 435, 1013, 73, 3967, 4575, 13099}},
-{1565, 14, 4949, {1, 1, 3, 7, 5, 27, 43, 225, 267, 21, 1261, 603, 6913, 4421}},
-{1566, 14, 4954, {1, 1, 7, 13, 25, 31, 101, 109, 237, 91, 1587, 1987, 2795, 6991}},
-{1567, 14, 4972, {1, 1, 3, 13, 23, 51, 91, 89, 287, 39, 1513, 463, 6135, 10469}},
-{1568, 14, 4975, {1, 3, 3, 1, 9, 43, 125, 157, 369, 495, 1849, 785, 6357, 6557}},
-{1569, 14, 5000, {1, 3, 1, 13, 5, 25, 107, 139, 367, 239, 1671, 1239, 7027, 5291}},
-{1570, 14, 5005, {1, 3, 5, 13, 11, 13, 35, 177, 45, 939, 251, 59, 333, 13105}},
-{1571, 14, 5029, {1, 3, 5, 7, 29, 57, 109, 227, 435, 739, 423, 1941, 3345, 12731}},
-{1572, 14, 5039, {1, 3, 3, 9, 23, 51, 19, 207, 69, 99, 955, 519, 7305, 2415}},
-{1573, 14, 5044, {1, 1, 5, 13, 17, 1, 67, 201, 61, 403, 1059, 2915, 2419, 12773}},
-{1574, 14, 5051, {1, 3, 1, 11, 17, 19, 25, 27, 207, 299, 143, 1955, 5669, 2301}},
-{1575, 14, 5056, {1, 1, 5, 3, 25, 57, 45, 255, 489, 1011, 1699, 2637, 5279, 12211}},
-{1576, 14, 5073, {1, 3, 3, 15, 7, 47, 113, 33, 511, 907, 1815, 1741, 2091, 13857}},
-{1577, 14, 5096, {1, 3, 3, 5, 5, 27, 95, 3, 353, 253, 947, 393, 1815, 14551}},
-{1578, 14, 5128, {1, 1, 5, 11, 29, 19, 63, 117, 293, 861, 2039, 9, 5999, 6909}},
-{1579, 14, 5134, {1, 3, 7, 3, 15, 63, 107, 173, 509, 817, 99, 2825, 131, 7917}},
-{1580, 14, 5161, {1, 3, 1, 1, 29, 49, 33, 153, 119, 777, 1315, 3581, 5675, 4043}},
-{1581, 14, 5179, {1, 3, 5, 15, 13, 11, 17, 147, 327, 305, 367, 3237, 5423, 13757}},
-{1582, 14, 5193, {1, 1, 5, 13, 1, 39, 35, 29, 25, 751, 1365, 2243, 8181, 7063}},
-{1583, 14, 5199, {1, 3, 7, 11, 25, 53, 11, 111, 289, 755, 1201, 691, 3679, 3725}},
-{1584, 14, 5202, {1, 1, 1, 11, 11, 37, 33, 211, 395, 691, 1817, 861, 6485, 12077}},
-{1585, 14, 5204, {1, 3, 3, 11, 21, 3, 111, 171, 305, 561, 1501, 2011, 7841, 10931}},
-{1586, 14, 5218, {1, 3, 7, 9, 9, 59, 109, 113, 31, 915, 103, 1861, 2779, 10619}},
-{1587, 14, 5247, {1, 1, 1, 1, 7, 25, 61, 97, 103, 723, 1145, 3105, 371, 339}},
-{1588, 14, 5260, {1, 1, 7, 13, 17, 9, 113, 51, 233, 209, 1117, 211, 6969, 2347}},
-{1589, 14, 5271, {1, 1, 5, 9, 25, 43, 21, 217, 327, 735, 197, 1063, 799, 801}},
-{1590, 14, 5301, {1, 1, 7, 13, 9, 13, 73, 33, 415, 923, 863, 1999, 5383, 8119}},
-{1591, 14, 5305, {1, 3, 1, 5, 7, 33, 51, 185, 289, 967, 1277, 1011, 767, 15505}},
-{1592, 14, 5319, {1, 3, 3, 13, 21, 11, 105, 235, 343, 1021, 2009, 2251, 3865, 6923}},
-{1593, 14, 5326, {1, 3, 5, 9, 29, 11, 33, 17, 149, 155, 1739, 3039, 7015, 2401}},
-{1594, 14, 5328, {1, 3, 7, 7, 17, 13, 89, 177, 297, 267, 545, 3861, 329, 13267}},
-{1595, 14, 5333, {1, 3, 5, 15, 27, 33, 1, 231, 181, 557, 447, 379, 7845, 1295}},
-{1596, 14, 5364, {1, 1, 5, 13, 3, 63, 59, 33, 263, 877, 1867, 1383, 641, 7139}},
-{1597, 14, 5376, {1, 3, 7, 5, 13, 51, 9, 113, 223, 605, 1189, 4063, 6925, 9563}},
-{1598, 14, 5399, {1, 1, 1, 13, 5, 35, 83, 107, 295, 231, 265, 5, 4087, 6407}},
-{1599, 14, 5416, {1, 1, 5, 1, 7, 25, 95, 137, 97, 987, 1753, 2781, 1369, 6903}},
-{1600, 14, 5421, {1, 1, 5, 13, 19, 61, 77, 229, 193, 165, 811, 249, 79, 10719}},
-{1601, 14, 5427, {1, 3, 7, 7, 27, 9, 119, 193, 459, 43, 1989, 2959, 3595, 6341}},
-{1602, 14, 5429, {1, 1, 5, 11, 5, 43, 35, 33, 25, 581, 897, 351, 4201, 3971}},
-{1603, 14, 5430, {1, 1, 7, 11, 21, 29, 53, 45, 359, 197, 313, 3825, 6717, 4077}},
-{1604, 14, 5434, {1, 1, 1, 15, 3, 45, 99, 133, 357, 315, 1159, 241, 2463, 11253}},
-{1605, 14, 5441, {1, 1, 7, 11, 9, 33, 111, 85, 443, 601, 447, 337, 6471, 7029}},
-{1606, 14, 5451, {1, 3, 7, 9, 13, 33, 25, 31, 9, 729, 1763, 4077, 7575, 7877}},
-{1607, 14, 5465, {1, 3, 5, 13, 13, 37, 29, 103, 53, 229, 591, 1073, 1323, 14405}},
-{1608, 14, 5466, {1, 1, 5, 1, 17, 33, 15, 183, 473, 297, 2003, 93, 4955, 1787}},
-{1609, 14, 5471, {1, 1, 5, 13, 5, 29, 113, 161, 267, 451, 1193, 149, 273, 11809}},
-{1610, 14, 5477, {1, 1, 1, 9, 17, 39, 47, 233, 165, 373, 955, 2891, 7523, 7235}},
-{1611, 14, 5492, {1, 1, 1, 3, 7, 21, 115, 205, 153, 449, 339, 2073, 1077, 5749}},
-{1612, 14, 5495, {1, 1, 7, 13, 9, 39, 117, 187, 37, 753, 227, 3519, 7391, 5751}},
-{1613, 14, 5505, {1, 1, 1, 9, 5, 19, 41, 161, 141, 195, 1719, 3321, 5, 12877}},
-{1614, 14, 5515, {1, 3, 7, 11, 21, 13, 83, 55, 299, 75, 1905, 3765, 4685, 12297}},
-{1615, 14, 5525, {1, 1, 7, 3, 3, 23, 111, 243, 187, 297, 1061, 2515, 977, 9555}},
-{1616, 14, 5529, {1, 3, 7, 3, 29, 11, 103, 177, 225, 875, 1649, 1401, 6383, 8309}},
-{1617, 14, 5532, {1, 3, 5, 3, 3, 41, 71, 3, 373, 757, 701, 2825, 1521, 13217}},
-{1618, 14, 5539, {1, 1, 5, 3, 11, 5, 103, 227, 209, 723, 1543, 3895, 6345, 7901}},
-{1619, 14, 5541, {1, 1, 5, 1, 9, 51, 77, 67, 359, 937, 557, 993, 3871, 3577}},
-{1620, 14, 5556, {1, 3, 7, 1, 1, 15, 121, 239, 29, 113, 1123, 3877, 6941, 14129}},
-{1621, 14, 5566, {1, 1, 5, 1, 27, 61, 83, 113, 185, 601, 947, 3933, 381, 13869}},
-{1622, 14, 5568, {1, 1, 5, 3, 5, 37, 97, 31, 81, 367, 747, 1811, 5313, 14151}},
-{1623, 14, 5574, {1, 3, 5, 9, 27, 61, 87, 31, 185, 521, 837, 959, 5001, 3957}},
-{1624, 14, 5595, {1, 3, 5, 3, 11, 61, 37, 19, 107, 749, 1345, 3829, 6701, 4315}},
-{1625, 14, 5602, {1, 3, 1, 15, 13, 45, 101, 113, 243, 963, 1861, 3283, 1419, 12131}},
-{1626, 14, 5611, {1, 1, 7, 1, 11, 63, 17, 117, 271, 819, 677, 669, 1991, 12511}},
-{1627, 14, 5616, {1, 1, 1, 13, 13, 33, 41, 73, 187, 537, 993, 3147, 1013, 16063}},
-{1628, 14, 5622, {1, 3, 1, 1, 25, 21, 107, 81, 117, 917, 113, 349, 4475, 9149}},
-{1629, 14, 5628, {1, 1, 1, 11, 21, 21, 29, 251, 125, 681, 141, 2893, 5843, 14359}},
-{1630, 14, 5655, {1, 3, 3, 1, 5, 41, 85, 163, 387, 29, 1593, 221, 2769, 10809}},
-{1631, 14, 5662, {1, 3, 5, 11, 1, 17, 69, 127, 273, 449, 1855, 2971, 7031, 10583}},
-{1632, 14, 5675, {1, 1, 5, 7, 1, 61, 9, 211, 123, 563, 111, 1883, 5801, 2191}},
-{1633, 14, 5689, {1, 1, 3, 11, 11, 51, 1, 81, 405, 803, 2017, 161, 5429, 731}},
-{1634, 14, 5722, {1, 1, 7, 9, 15, 55, 65, 51, 459, 485, 1539, 3135, 2929, 7867}},
-{1635, 14, 5724, {1, 1, 7, 11, 3, 45, 15, 7, 331, 417, 1813, 4009, 1341, 10965}},
-{1636, 14, 5728, {1, 1, 1, 5, 9, 29, 89, 121, 277, 509, 1989, 1293, 4787, 16097}},
-{1637, 14, 5731, {1, 1, 3, 9, 17, 45, 97, 197, 339, 943, 1377, 2947, 5833, 7}},
-{1638, 14, 5746, {1, 1, 7, 9, 15, 61, 75, 233, 401, 705, 825, 2521, 3787, 14387}},
-{1639, 14, 5764, {1, 1, 7, 15, 25, 57, 3, 43, 361, 459, 1551, 1859, 6787, 2293}},
-{1640, 14, 5771, {1, 3, 3, 11, 11, 35, 91, 65, 43, 509, 1829, 1149, 4801, 4109}},
-{1641, 14, 5781, {1, 3, 5, 9, 15, 3, 81, 109, 231, 481, 417, 2505, 315, 6693}},
-{1642, 14, 5801, {1, 1, 3, 9, 3, 7, 107, 221, 297, 543, 149, 579, 927, 79}},
-{1643, 14, 5809, {1, 3, 1, 11, 17, 3, 81, 137, 157, 587, 741, 1277, 2631, 3953}},
-{1644, 14, 5810, {1, 1, 7, 5, 13, 43, 117, 19, 495, 185, 1105, 605, 5249, 11099}},
-{1645, 14, 5812, {1, 1, 7, 9, 23, 55, 91, 213, 21, 779, 857, 2047, 7813, 10053}},
-{1646, 14, 5841, {1, 1, 1, 1, 27, 7, 39, 181, 63, 519, 1073, 3147, 4111, 363}},
-{1647, 14, 5848, {1, 3, 7, 9, 15, 61, 7, 139, 495, 805, 1545, 3789, 2411, 3989}},
-{1648, 14, 5853, {1, 1, 3, 1, 25, 11, 23, 241, 167, 607, 479, 153, 7787, 13929}},
-{1649, 14, 5854, {1, 3, 5, 15, 29, 35, 45, 71, 457, 297, 883, 3021, 5361, 15427}},
-{1650, 14, 5858, {1, 3, 1, 7, 29, 27, 93, 241, 427, 89, 1185, 37, 3863, 14095}},
-{1651, 14, 5892, {1, 3, 1, 5, 5, 45, 51, 15, 235, 889, 1649, 2331, 2713, 10943}},
-{1652, 14, 5907, {1, 1, 3, 11, 11, 15, 71, 85, 135, 163, 139, 1147, 1043, 3195}},
-{1653, 14, 5910, {1, 3, 5, 13, 3, 43, 71, 131, 473, 933, 569, 2491, 7751, 1865}},
-{1654, 14, 5913, {1, 1, 7, 9, 21, 37, 105, 227, 329, 509, 1319, 307, 1557, 14625}},
-{1655, 14, 5920, {1, 1, 3, 13, 15, 1, 25, 93, 335, 953, 769, 4039, 369, 10727}},
-{1656, 14, 5929, {1, 3, 7, 5, 17, 21, 59, 89, 437, 679, 437, 1543, 7663, 5005}},
-{1657, 14, 5949, {1, 1, 7, 15, 27, 49, 125, 13, 397, 877, 1087, 2191, 4711, 9065}},
-{1658, 14, 5952, {1, 1, 7, 5, 15, 47, 115, 125, 187, 31, 1003, 2575, 5397, 3883}},
-{1659, 14, 5955, {1, 1, 7, 11, 15, 1, 127, 207, 383, 707, 183, 1053, 3123, 14071}},
-{1660, 14, 5962, {1, 3, 3, 1, 31, 53, 15, 19, 477, 245, 777, 1613, 5813, 7443}},
-{1661, 14, 5975, {1, 3, 1, 11, 23, 59, 65, 23, 493, 157, 1389, 2833, 4535, 3907}},
-{1662, 14, 5985, {1, 1, 7, 1, 19, 7, 51, 135, 327, 441, 1841, 3091, 3451, 14381}},
-{1663, 14, 5997, {1, 1, 7, 7, 3, 37, 29, 249, 437, 319, 1693, 945, 7639, 5923}},
-{1664, 14, 5998, {1, 3, 7, 15, 7, 61, 81, 127, 383, 99, 23, 3833, 3973, 7651}},
-{1665, 14, 6012, {1, 3, 1, 7, 7, 21, 119, 185, 243, 619, 1363, 2033, 4835, 5089}},
-{1666, 14, 6016, {1, 3, 1, 1, 3, 27, 63, 145, 271, 735, 695, 3981, 3049, 5433}},
-{1667, 14, 6026, {1, 3, 3, 1, 3, 29, 79, 211, 279, 819, 501, 3665, 1455, 10455}},
-{1668, 14, 6036, {1, 1, 3, 3, 31, 61, 113, 5, 411, 91, 489, 3257, 5939, 6715}},
-{1669, 14, 6040, {1, 1, 5, 1, 23, 11, 103, 89, 377, 441, 43, 967, 3383, 8717}},
-{1670, 14, 6045, {1, 1, 5, 13, 29, 39, 97, 189, 197, 621, 1755, 333, 6783, 9711}},
-{1671, 14, 6055, {1, 1, 5, 13, 27, 17, 97, 197, 351, 799, 335, 765, 5329, 12549}},
-{1672, 14, 6059, {1, 1, 5, 11, 29, 17, 9, 211, 127, 633, 1187, 3965, 4145, 12667}},
-{1673, 14, 6088, {1, 1, 7, 5, 27, 29, 65, 115, 287, 325, 461, 5, 899, 2027}},
-{1674, 14, 6115, {1, 1, 1, 5, 27, 17, 31, 13, 231, 627, 1163, 649, 1693, 9975}},
-{1675, 14, 6124, {1, 3, 1, 15, 7, 49, 113, 123, 427, 603, 347, 2785, 7129, 4645}},
-{1676, 14, 6127, {1, 1, 3, 7, 1, 33, 113, 105, 411, 939, 205, 3965, 4361, 4649}},
-{1677, 14, 6132, {1, 1, 1, 1, 5, 21, 35, 159, 275, 929, 1193, 3205, 4787, 3515}},
-{1678, 14, 6146, {1, 1, 1, 5, 1, 21, 29, 191, 275, 233, 1239, 515, 4349, 14989}},
-{1679, 14, 6158, {1, 1, 5, 11, 27, 43, 111, 83, 153, 577, 1537, 149, 231, 839}},
-{1680, 14, 6169, {1, 3, 5, 13, 21, 19, 57, 69, 87, 163, 271, 3535, 1057, 8517}},
-{1681, 14, 6206, {1, 3, 3, 13, 17, 49, 65, 45, 457, 241, 391, 2033, 2507, 7771}},
-{1682, 14, 6228, {1, 1, 5, 7, 11, 19, 79, 133, 341, 761, 27, 3905, 4137, 14363}},
-{1683, 14, 6237, {1, 3, 3, 13, 19, 1, 11, 139, 249, 245, 1393, 2151, 2857, 1665}},
-{1684, 14, 6244, {1, 1, 3, 15, 11, 7, 127, 47, 385, 1007, 713, 2235, 5489, 8755}},
-{1685, 14, 6247, {1, 3, 5, 13, 19, 21, 21, 167, 405, 655, 1653, 889, 7367, 4177}},
-{1686, 14, 6256, {1, 1, 5, 3, 19, 63, 99, 39, 89, 415, 951, 2863, 6569, 3797}},
-{1687, 14, 6281, {1, 1, 1, 13, 31, 29, 119, 35, 311, 839, 1749, 941, 7487, 2385}},
-{1688, 14, 6282, {1, 3, 7, 3, 17, 3, 97, 143, 465, 345, 1457, 2201, 5329, 359}},
-{1689, 14, 6284, {1, 3, 7, 11, 1, 15, 3, 115, 335, 567, 1749, 1811, 3491, 15939}},
-{1690, 14, 6296, {1, 1, 3, 13, 3, 21, 7, 141, 149, 571, 1877, 473, 2143, 9569}},
-{1691, 14, 6299, {1, 3, 3, 11, 23, 61, 47, 179, 297, 453, 181, 3405, 2981, 13409}},
-{1692, 14, 6302, {1, 3, 1, 13, 1, 43, 5, 201, 371, 1003, 367, 2709, 7675, 14973}},
-{1693, 14, 6325, {1, 3, 3, 15, 29, 17, 19, 241, 495, 317, 1135, 2227, 6457, 4783}},
-{1694, 14, 6349, {1, 3, 3, 7, 29, 9, 57, 95, 261, 531, 1717, 3389, 7991, 3793}},
-{1695, 14, 6352, {1, 1, 1, 5, 31, 43, 73, 119, 499, 589, 1529, 3337, 4097, 15641}},
-{1696, 14, 6362, {1, 1, 7, 9, 29, 43, 127, 91, 243, 979, 1325, 2835, 2787, 9445}},
-{1697, 14, 6383, {1, 1, 7, 5, 9, 3, 115, 199, 219, 901, 747, 1077, 3197, 2443}},
-{1698, 14, 6386, {1, 3, 5, 1, 3, 43, 7, 117, 297, 313, 1043, 1579, 5099, 13289}},
-{1699, 14, 6395, {1, 1, 7, 11, 29, 33, 15, 121, 131, 579, 317, 1871, 1121, 11653}},
-{1700, 14, 6397, {1, 1, 5, 9, 25, 25, 43, 89, 355, 1011, 1385, 2901, 6387, 1653}},
-{1701, 14, 6415, {1, 1, 1, 9, 5, 47, 61, 165, 85, 757, 1397, 1177, 1657, 4899}},
-{1702, 14, 6424, {1, 1, 3, 9, 11, 49, 15, 139, 261, 613, 931, 1299, 2777, 2835}},
-{1703, 14, 6429, {1, 1, 1, 5, 3, 55, 83, 227, 125, 581, 1607, 1171, 6681, 14463}},
-{1704, 14, 6439, {1, 3, 5, 13, 5, 55, 3, 247, 493, 155, 1073, 3743, 5719, 4019}},
-{1705, 14, 6451, {1, 1, 7, 1, 11, 23, 13, 75, 399, 847, 499, 1643, 6977, 3699}},
-{1706, 14, 6489, {1, 3, 1, 9, 11, 41, 47, 131, 313, 627, 481, 2469, 3281, 979}},
-{1707, 14, 6496, {1, 3, 5, 13, 29, 3, 65, 101, 11, 29, 1807, 153, 1487, 16109}},
-{1708, 14, 6502, {1, 1, 5, 9, 13, 31, 83, 195, 351, 355, 467, 3871, 3085, 4441}},
-{1709, 14, 6511, {1, 3, 5, 3, 19, 21, 111, 179, 143, 361, 1619, 1547, 3409, 6905}},
-{1710, 14, 6514, {1, 1, 5, 9, 31, 1, 93, 199, 491, 135, 1627, 2559, 1389, 14561}},
-{1711, 14, 6520, {1, 3, 3, 9, 25, 53, 3, 105, 39, 445, 259, 1045, 1129, 9153}},
-{1712, 14, 6523, {1, 1, 5, 9, 19, 63, 71, 9, 73, 435, 1377, 4015, 1821, 6453}},
-{1713, 14, 6529, {1, 3, 7, 13, 19, 13, 37, 247, 391, 23, 1491, 1257, 6395, 237}},
-{1714, 14, 6532, {1, 1, 3, 3, 19, 55, 109, 23, 227, 747, 729, 2221, 727, 2209}},
-{1715, 14, 6547, {1, 1, 5, 11, 25, 21, 75, 37, 219, 355, 1005, 1895, 7039, 5225}},
-{1716, 14, 6549, {1, 3, 5, 13, 11, 43, 9, 67, 87, 797, 1077, 245, 4521, 11845}},
-{1717, 14, 6598, {1, 3, 5, 3, 15, 29, 127, 237, 277, 373, 1859, 3083, 587, 1123}},
-{1718, 14, 6601, {1, 1, 7, 15, 13, 7, 103, 53, 13, 965, 1497, 775, 3439, 1501}},
-{1719, 14, 6610, {1, 3, 3, 15, 17, 13, 97, 169, 67, 953, 189, 2739, 1459, 10543}},
-{1720, 14, 6622, {1, 1, 5, 1, 17, 39, 15, 127, 327, 989, 1471, 3235, 2801, 15311}},
-{1721, 14, 6632, {1, 1, 1, 15, 5, 37, 55, 155, 47, 463, 1851, 3467, 2765, 9359}},
-{1722, 14, 6655, {1, 3, 3, 15, 1, 13, 93, 239, 291, 115, 365, 61, 395, 15853}},
-{1723, 14, 6665, {1, 1, 5, 1, 19, 27, 61, 95, 105, 369, 1557, 961, 6917, 3621}},
-{1724, 14, 6666, {1, 3, 3, 9, 7, 35, 115, 53, 111, 345, 1145, 1687, 3401, 12107}},
-{1725, 14, 6695, {1, 1, 1, 5, 7, 31, 63, 19, 373, 79, 1369, 3037, 2835, 4439}},
-{1726, 14, 6701, {1, 3, 7, 9, 11, 17, 29, 33, 331, 447, 1981, 3333, 6535, 6557}},
-{1727, 14, 6709, {1, 3, 3, 5, 11, 41, 29, 43, 365, 279, 1919, 945, 179, 1987}},
-{1728, 14, 6710, {1, 3, 1, 13, 7, 7, 25, 33, 103, 367, 1267, 763, 5691, 8643}},
-{1729, 14, 6741, {1, 3, 1, 5, 11, 15, 3, 213, 511, 211, 1069, 4047, 3335, 12729}},
-{1730, 14, 6745, {1, 1, 3, 1, 5, 11, 27, 201, 361, 537, 679, 3709, 293, 2997}},
-{1731, 14, 6758, {1, 1, 3, 1, 25, 15, 19, 185, 369, 577, 1625, 655, 2363, 3861}},
-{1732, 14, 6767, {1, 1, 5, 5, 1, 47, 61, 45, 411, 597, 955, 1007, 3775, 5809}},
-{1733, 14, 6772, {1, 1, 5, 3, 27, 51, 101, 167, 429, 333, 1703, 3541, 2947, 3695}},
-{1734, 14, 6782, {1, 3, 5, 5, 1, 53, 17, 63, 141, 215, 1223, 3129, 635, 15919}},
-{1735, 14, 6797, {1, 3, 3, 1, 23, 31, 25, 11, 195, 241, 995, 3941, 573, 13855}},
-{1736, 14, 6800, {1, 3, 3, 7, 17, 13, 71, 203, 465, 479, 1857, 1493, 8067, 7113}},
-{1737, 14, 6843, {1, 1, 5, 3, 11, 57, 9, 59, 225, 691, 425, 2423, 6031, 6631}},
-{1738, 14, 6845, {1, 3, 7, 1, 29, 57, 103, 123, 401, 807, 471, 2759, 5113, 15937}},
-{1739, 14, 6860, {1, 3, 1, 1, 3, 1, 67, 123, 157, 655, 519, 323, 1853, 15041}},
-{1740, 14, 6865, {1, 1, 7, 5, 11, 11, 105, 135, 247, 689, 1141, 2347, 7113, 9347}},
-{1741, 14, 6878, {1, 1, 3, 11, 15, 37, 87, 3, 209, 575, 1521, 3863, 3893, 211}},
-{1742, 14, 6887, {1, 3, 1, 3, 29, 55, 115, 31, 19, 195, 985, 3275, 363, 9801}},
-{1743, 14, 6888, {1, 1, 3, 9, 13, 31, 57, 251, 201, 275, 1751, 389, 1463, 13159}},
-{1744, 14, 6901, {1, 3, 5, 15, 19, 51, 127, 255, 397, 243, 29, 3007, 7845, 4687}},
-{1745, 14, 6906, {1, 1, 7, 15, 9, 37, 39, 217, 509, 137, 1123, 3361, 6323, 5323}},
-{1746, 14, 6940, {1, 3, 7, 5, 25, 3, 93, 203, 345, 581, 261, 2811, 4829, 6977}},
-{1747, 14, 6947, {1, 1, 7, 1, 15, 41, 51, 227, 447, 893, 1209, 3865, 5229, 4277}},
-{1748, 14, 6953, {1, 1, 1, 5, 31, 19, 23, 195, 359, 853, 595, 337, 2503, 16371}},
-{1749, 14, 6954, {1, 3, 7, 5, 5, 13, 89, 157, 351, 777, 151, 3565, 4219, 7423}},
-{1750, 14, 6959, {1, 1, 1, 5, 7, 1, 9, 89, 175, 909, 1523, 2295, 7949, 6739}},
-{1751, 14, 6961, {1, 3, 5, 15, 27, 17, 11, 235, 19, 105, 457, 465, 3819, 11335}},
-{1752, 14, 6964, {1, 3, 1, 13, 3, 41, 85, 221, 451, 613, 543, 2265, 6831, 1725}},
-{1753, 14, 6991, {1, 1, 7, 7, 3, 29, 9, 197, 455, 665, 343, 1811, 5395, 393}},
-{1754, 14, 6993, {1, 1, 3, 13, 29, 55, 71, 95, 475, 615, 2029, 123, 413, 16127}},
-{1755, 14, 6999, {1, 1, 5, 9, 15, 61, 9, 51, 105, 271, 511, 2801, 693, 11839}},
-{1756, 14, 7016, {1, 1, 7, 13, 29, 9, 105, 59, 377, 635, 717, 4033, 6963, 10541}},
-{1757, 14, 7029, {1, 1, 1, 13, 7, 13, 59, 17, 335, 355, 77, 3665, 7003, 9521}},
-{1758, 14, 7036, {1, 3, 1, 1, 23, 43, 51, 209, 151, 365, 1021, 2859, 3937, 2899}},
-{1759, 14, 7045, {1, 1, 3, 3, 31, 41, 111, 107, 171, 433, 1233, 505, 2971, 6927}},
-{1760, 14, 7076, {1, 3, 7, 13, 17, 25, 127, 195, 257, 551, 1867, 2145, 3695, 14567}},
-{1761, 14, 7083, {1, 1, 5, 13, 13, 45, 39, 195, 55, 991, 1981, 1043, 5875, 581}},
-{1762, 14, 7094, {1, 3, 3, 11, 25, 31, 91, 153, 415, 449, 1301, 563, 7755, 10671}},
-{1763, 14, 7097, {1, 1, 3, 5, 31, 63, 1, 157, 229, 949, 971, 137, 6589, 8387}},
-{1764, 14, 7123, {1, 3, 7, 15, 25, 7, 89, 133, 73, 497, 1361, 613, 455, 1005}},
-{1765, 14, 7130, {1, 3, 3, 1, 13, 5, 119, 93, 175, 511, 1923, 763, 7573, 7545}},
-{1766, 14, 7139, {1, 1, 3, 15, 27, 59, 49, 205, 497, 485, 117, 2523, 4495, 15153}},
-{1767, 14, 7145, {1, 3, 7, 9, 15, 47, 111, 31, 363, 11, 475, 2931, 6813, 1259}},
-{1768, 14, 7146, {1, 1, 5, 5, 1, 35, 95, 225, 17, 991, 809, 2601, 6455, 13803}},
-{1769, 14, 7178, {1, 1, 5, 5, 15, 1, 1, 171, 433, 887, 1813, 3431, 2471, 7803}},
-{1770, 14, 7186, {1, 3, 3, 15, 1, 15, 43, 179, 15, 949, 1881, 1027, 6989, 8955}},
-{1771, 14, 7192, {1, 3, 7, 13, 1, 3, 49, 183, 373, 175, 1733, 913, 929, 1065}},
-{1772, 14, 7198, {1, 3, 5, 7, 15, 51, 107, 115, 323, 357, 167, 2069, 7541, 9601}},
-{1773, 14, 7222, {1, 1, 3, 5, 5, 21, 31, 107, 21, 299, 1937, 43, 3673, 8155}},
-{1774, 14, 7269, {1, 3, 5, 11, 9, 55, 35, 113, 29, 99, 161, 1607, 8141, 4951}},
-{1775, 14, 7270, {1, 3, 7, 15, 25, 7, 113, 179, 213, 19, 1717, 1027, 2021, 11263}},
-{1776, 14, 7276, {1, 1, 5, 1, 31, 33, 85, 111, 67, 95, 2013, 2217, 871, 5329}},
-{1777, 14, 7287, {1, 1, 1, 7, 7, 63, 67, 145, 495, 419, 1945, 3437, 6255, 151}},
-{1778, 14, 7307, {1, 3, 5, 7, 17, 37, 97, 187, 215, 399, 1603, 2195, 5923, 769}},
-{1779, 14, 7315, {1, 1, 3, 9, 25, 1, 119, 193, 385, 861, 2005, 2769, 675, 767}},
-{1780, 14, 7334, {1, 3, 1, 15, 19, 7, 5, 227, 173, 383, 289, 461, 579, 3689}},
-{1781, 14, 7340, {1, 3, 1, 11, 1, 37, 93, 239, 465, 891, 1479, 921, 4439, 15265}},
-{1782, 14, 7351, {1, 1, 1, 13, 27, 61, 99, 69, 279, 655, 1853, 1593, 6319, 9003}},
-{1783, 14, 7352, {1, 1, 1, 11, 5, 7, 19, 7, 387, 303, 321, 931, 5809, 16029}},
-{1784, 14, 7357, {1, 1, 1, 15, 21, 55, 43, 107, 217, 687, 19, 3225, 3419, 9991}},
-{1785, 14, 7360, {1, 1, 7, 5, 7, 55, 79, 41, 317, 357, 859, 1205, 191, 9395}},
-{1786, 14, 7363, {1, 1, 3, 11, 3, 43, 7, 133, 115, 995, 1205, 1055, 4153, 10481}},
-{1787, 14, 7384, {1, 1, 7, 11, 31, 57, 53, 9, 459, 223, 1969, 3513, 7033, 8505}},
-{1788, 14, 7396, {1, 1, 3, 7, 17, 11, 115, 255, 281, 97, 1685, 2039, 2845, 11637}},
-{1789, 14, 7403, {1, 3, 7, 1, 23, 41, 69, 199, 53, 105, 657, 1453, 4429, 1101}},
-{1790, 14, 7406, {1, 3, 1, 5, 11, 33, 91, 131, 191, 73, 823, 117, 1053, 127}},
-{1791, 14, 7425, {1, 3, 7, 11, 7, 3, 21, 65, 187, 103, 1393, 1797, 6673, 1409}},
-{1792, 14, 7437, {1, 3, 7, 1, 31, 25, 25, 161, 299, 275, 417, 2267, 6861, 1255}},
-{1793, 14, 7445, {1, 3, 5, 13, 5, 11, 61, 155, 115, 1001, 747, 889, 3235, 5709}},
-{1794, 14, 7450, {1, 3, 7, 7, 7, 1, 97, 177, 507, 273, 1781, 3455, 5123, 15607}},
-{1795, 14, 7455, {1, 1, 7, 5, 1, 7, 59, 49, 147, 343, 97, 3517, 5611, 8705}},
-{1796, 14, 7461, {1, 1, 5, 13, 21, 29, 13, 21, 503, 515, 1217, 3905, 5513, 15849}},
-{1797, 14, 7466, {1, 3, 1, 9, 9, 39, 65, 111, 385, 757, 583, 2225, 2039, 2817}},
-{1798, 14, 7488, {1, 3, 3, 15, 23, 17, 63, 169, 503, 949, 849, 461, 6799, 669}},
-{1799, 14, 7494, {1, 1, 1, 3, 1, 41, 63, 159, 251, 457, 521, 1653, 623, 3287}},
-{1800, 14, 7515, {1, 1, 7, 3, 9, 1, 41, 37, 441, 921, 1415, 2955, 5841, 1451}},
-{1801, 14, 7517, {1, 1, 5, 11, 23, 29, 89, 185, 413, 357, 1131, 2369, 3835, 6233}},
-{1802, 14, 7521, {1, 1, 5, 15, 27, 35, 17, 73, 315, 911, 1761, 797, 5349, 3219}},
-{1803, 14, 7536, {1, 3, 7, 11, 21, 9, 119, 233, 249, 901, 189, 3625, 2691, 16201}},
-{1804, 14, 7546, {1, 3, 3, 13, 29, 61, 105, 145, 187, 79, 609, 321, 4289, 3933}},
-{1805, 14, 7569, {1, 3, 1, 15, 19, 63, 13, 185, 115, 219, 1021, 1205, 4273, 11521}},
-{1806, 14, 7591, {1, 1, 3, 3, 23, 31, 93, 153, 87, 947, 1039, 469, 4047, 8869}},
-{1807, 14, 7592, {1, 1, 1, 1, 9, 1, 85, 3, 15, 995, 455, 2769, 6781, 16203}},
-{1808, 14, 7598, {1, 1, 3, 3, 13, 7, 55, 215, 185, 367, 765, 441, 4497, 1521}},
-{1809, 14, 7612, {1, 1, 1, 5, 1, 31, 13, 95, 417, 735, 975, 3407, 4871, 16133}},
-{1810, 14, 7623, {1, 1, 3, 3, 5, 43, 111, 107, 419, 515, 1075, 3597, 1187, 4143}},
-{1811, 14, 7632, {1, 1, 3, 13, 31, 51, 83, 163, 489, 887, 863, 599, 9, 13861}},
-{1812, 14, 7637, {1, 3, 3, 3, 19, 27, 91, 115, 103, 969, 593, 3667, 1867, 15433}},
-{1813, 14, 7644, {1, 3, 3, 13, 7, 25, 47, 141, 57, 553, 1785, 1709, 7453, 2209}},
-{1814, 14, 7657, {1, 3, 1, 13, 11, 13, 71, 219, 5, 451, 2043, 1605, 6439, 12203}},
-{1815, 14, 7665, {1, 3, 1, 13, 5, 57, 61, 223, 401, 413, 321, 1365, 619, 12477}},
-{1816, 14, 7672, {1, 3, 1, 5, 25, 57, 89, 211, 195, 455, 1165, 3979, 6313, 5751}},
-{1817, 14, 7682, {1, 1, 1, 9, 31, 23, 71, 145, 89, 285, 1593, 1171, 5685, 15459}},
-{1818, 14, 7699, {1, 3, 7, 7, 9, 41, 65, 251, 65, 137, 1577, 3027, 5555, 2865}},
-{1819, 14, 7702, {1, 1, 5, 13, 27, 5, 125, 21, 171, 647, 983, 2921, 6623, 5695}},
-{1820, 14, 7724, {1, 1, 1, 13, 15, 9, 117, 197, 123, 953, 1191, 3657, 5757, 15957}},
-{1821, 14, 7749, {1, 1, 3, 7, 29, 13, 5, 175, 395, 127, 679, 255, 6055, 7639}},
-{1822, 14, 7753, {1, 3, 7, 15, 15, 51, 77, 147, 319, 147, 1775, 3983, 3175, 5723}},
-{1823, 14, 7754, {1, 3, 3, 3, 7, 11, 119, 41, 43, 153, 975, 679, 3081, 10359}},
-{1824, 14, 7761, {1, 1, 5, 13, 3, 7, 65, 67, 63, 399, 1561, 2789, 2083, 12289}},
-{1825, 14, 7771, {1, 1, 7, 3, 19, 53, 103, 67, 35, 865, 161, 93, 2533, 3851}},
-{1826, 14, 7777, {1, 1, 1, 11, 31, 9, 29, 189, 199, 817, 1571, 395, 345, 3777}},
-{1827, 14, 7784, {1, 3, 5, 11, 31, 3, 9, 67, 277, 735, 181, 2777, 3009, 7233}},
-{1828, 14, 7804, {1, 1, 3, 3, 17, 7, 17, 3, 375, 933, 237, 3919, 5409, 3355}},
-{1829, 14, 7807, {1, 3, 3, 5, 9, 27, 19, 77, 221, 3, 1965, 309, 3001, 15977}},
-{1830, 14, 7808, {1, 1, 5, 1, 3, 33, 35, 133, 37, 709, 627, 1705, 2525, 4307}},
-{1831, 14, 7818, {1, 1, 7, 3, 25, 21, 105, 55, 375, 681, 881, 1299, 5879, 459}},
-{1832, 14, 7835, {1, 3, 7, 1, 13, 7, 113, 103, 313, 515, 1041, 3683, 4619, 5093}},
-{1833, 14, 7842, {1, 1, 3, 7, 19, 43, 83, 37, 39, 133, 1759, 1171, 1521, 13717}},
-{1834, 14, 7865, {1, 1, 7, 13, 7, 35, 15, 155, 293, 1001, 157, 3883, 405, 1797}},
-{1835, 14, 7868, {1, 1, 3, 3, 13, 19, 125, 49, 333, 387, 339, 1815, 4503, 7359}},
-{1836, 14, 7880, {1, 1, 3, 13, 19, 19, 105, 225, 151, 27, 1251, 885, 4815, 7863}},
-{1837, 14, 7883, {1, 1, 1, 5, 7, 59, 17, 145, 77, 117, 1355, 1429, 2301, 16177}},
-{1838, 14, 7891, {1, 3, 3, 13, 5, 31, 119, 167, 459, 727, 1799, 2537, 695, 13637}},
-{1839, 14, 7897, {1, 3, 3, 3, 27, 51, 107, 85, 267, 57, 1279, 823, 6247, 3603}},
-{1840, 14, 7907, {1, 1, 7, 15, 29, 17, 67, 197, 215, 465, 109, 3461, 5269, 15287}},
-{1841, 14, 7910, {1, 1, 3, 5, 11, 15, 123, 53, 293, 797, 1105, 1777, 6509, 217}},
-{1842, 14, 7924, {1, 3, 3, 13, 3, 5, 109, 53, 203, 693, 871, 135, 369, 11149}},
-{1843, 14, 7933, {1, 3, 5, 15, 17, 43, 81, 235, 119, 817, 1777, 261, 8049, 4251}},
-{1844, 14, 7934, {1, 1, 3, 7, 7, 13, 87, 99, 481, 931, 1507, 651, 5267, 8281}},
-{1845, 14, 7942, {1, 3, 1, 13, 27, 43, 77, 225, 341, 163, 933, 429, 4943, 7781}},
-{1846, 14, 7948, {1, 1, 7, 1, 1, 49, 85, 211, 449, 479, 1395, 787, 5653, 14891}},
-{1847, 14, 7959, {1, 1, 5, 9, 25, 13, 49, 85, 125, 85, 1281, 3365, 4305, 11791}},
-{1848, 14, 7984, {1, 3, 1, 13, 3, 31, 117, 39, 43, 151, 663, 669, 1571, 5207}},
-{1849, 14, 7994, {1, 3, 7, 15, 17, 7, 79, 163, 37, 841, 1799, 1787, 4501, 3785}},
-{1850, 14, 7999, {1, 1, 3, 9, 1, 23, 67, 191, 449, 931, 1521, 2705, 887, 7037}},
-{1851, 14, 8014, {1, 1, 1, 1, 5, 13, 55, 161, 419, 577, 1703, 2589, 2651, 2873}},
-{1852, 14, 8021, {1, 3, 3, 3, 5, 19, 37, 169, 69, 1003, 1755, 3101, 1469, 8583}},
-{1853, 14, 8041, {1, 1, 1, 1, 11, 33, 105, 79, 283, 91, 299, 835, 3193, 5593}},
-{1854, 14, 8049, {1, 3, 3, 13, 25, 21, 81, 213, 465, 475, 331, 457, 61, 9511}},
-{1855, 14, 8050, {1, 1, 3, 11, 1, 11, 77, 95, 455, 949, 1999, 1833, 1275, 5631}},
-{1856, 14, 8068, {1, 1, 1, 1, 15, 25, 51, 137, 275, 451, 1179, 3595, 5177, 7105}},
-{1857, 14, 8080, {1, 3, 3, 3, 3, 59, 79, 143, 393, 583, 349, 3039, 7079, 14245}},
-{1858, 14, 8095, {1, 1, 7, 9, 21, 11, 123, 105, 53, 297, 803, 4025, 5421, 14527}},
-{1859, 14, 8102, {1, 3, 7, 11, 21, 15, 103, 109, 311, 321, 1217, 2777, 5457, 1823}},
-{1860, 14, 8106, {1, 3, 5, 11, 19, 31, 79, 89, 295, 413, 817, 499, 3699, 14411}},
-{1861, 14, 8120, {1, 1, 1, 5, 11, 3, 81, 13, 315, 841, 1543, 411, 6883, 6347}},
-{1862, 14, 8133, {1, 3, 3, 11, 23, 43, 23, 131, 17, 517, 995, 2687, 7443, 15085}},
-{1863, 14, 8134, {1, 1, 1, 1, 11, 57, 73, 9, 123, 905, 1763, 1789, 3701, 7131}},
-{1864, 14, 8143, {1, 1, 3, 5, 9, 53, 99, 229, 43, 207, 625, 1583, 6727, 15249}},
-{1865, 14, 8162, {1, 1, 7, 7, 17, 39, 91, 1, 297, 711, 225, 513, 7391, 291}},
-{1866, 14, 8168, {1, 1, 7, 11, 7, 55, 111, 129, 423, 521, 1807, 3015, 1449, 12321}},
-{1867, 14, 8179, {1, 3, 7, 3, 13, 9, 125, 187, 11, 485, 647, 275, 3495, 11989}},
-{1868, 15, 1, {1, 1, 3, 11, 11, 25, 49, 33, 361, 105, 271, 3841, 4837, 2437, 30181}},
-{1869, 15, 8, {1, 3, 5, 1, 27, 15, 119, 35, 159, 273, 1489, 3157, 5433, 3337, 26859}},
-{1870, 15, 11, {1, 3, 5, 13, 23, 31, 97, 145, 41, 605, 1455, 59, 5389, 5527, 14447}},
-{1871, 15, 22, {1, 1, 7, 9, 7, 41, 61, 193, 353, 879, 1805, 581, 5447, 11177, 7331}},
-{1872, 15, 26, {1, 1, 7, 11, 29, 19, 55, 207, 361, 759, 63, 2255, 2119, 14671, 21783}},
-{1873, 15, 47, {1, 3, 1, 13, 17, 7, 73, 179, 103, 23, 917, 1205, 4925, 1691, 5419}},
-{1874, 15, 59, {1, 3, 5, 3, 15, 3, 9, 109, 227, 861, 867, 3529, 1535, 489, 22873}},
-{1875, 15, 64, {1, 3, 3, 9, 15, 15, 95, 193, 385, 997, 1525, 1865, 1425, 4079, 14771}},
-{1876, 15, 67, {1, 1, 3, 5, 5, 29, 49, 171, 171, 623, 1167, 3743, 1809, 12009, 7043}},
-{1877, 15, 73, {1, 3, 7, 5, 23, 11, 87, 183, 299, 555, 1857, 489, 3505, 9161, 28763}},
-{1878, 15, 82, {1, 3, 5, 9, 19, 21, 85, 127, 337, 439, 1183, 1891, 1877, 4373, 10451}},
-{1879, 15, 97, {1, 3, 7, 13, 27, 17, 29, 83, 463, 385, 1167, 3453, 4523, 4759, 9321}},
-{1880, 15, 103, {1, 1, 3, 7, 21, 59, 65, 83, 177, 763, 317, 2913, 7527, 5967, 17167}},
-{1881, 15, 110, {1, 1, 7, 15, 13, 27, 49, 35, 253, 101, 1699, 355, 2181, 10859, 24221}},
-{1882, 15, 115, {1, 1, 5, 1, 17, 17, 81, 91, 349, 655, 1373, 2225, 945, 899, 31801}},
-{1883, 15, 122, {1, 3, 7, 11, 5, 1, 81, 53, 215, 587, 167, 4045, 5671, 5597, 13529}},
-{1884, 15, 128, {1, 3, 5, 15, 1, 9, 59, 235, 315, 195, 909, 2237, 505, 10415, 28145}},
-{1885, 15, 138, {1, 1, 1, 3, 9, 31, 41, 43, 275, 921, 25, 671, 5737, 11241, 4193}},
-{1886, 15, 146, {1, 3, 3, 13, 29, 13, 95, 213, 317, 995, 1489, 3779, 3043, 8569, 28823}},
-{1887, 15, 171, {1, 1, 7, 5, 9, 49, 125, 241, 87, 153, 1673, 3849, 7253, 1715, 11627}},
-{1888, 15, 174, {1, 1, 3, 9, 27, 27, 19, 223, 63, 463, 1095, 1395, 6643, 11589, 2145}},
-{1889, 15, 176, {1, 1, 3, 15, 21, 17, 45, 23, 357, 11, 1307, 1791, 2481, 2123, 24341}},
-{1890, 15, 182, {1, 3, 5, 15, 31, 53, 117, 51, 433, 193, 1239, 3329, 2403, 12745, 32219}},
-{1891, 15, 194, {1, 1, 5, 9, 7, 27, 9, 115, 417, 579, 83, 173, 4717, 15665, 27463}},
-{1892, 15, 208, {1, 3, 5, 7, 9, 9, 31, 35, 249, 567, 331, 905, 5101, 14817, 14255}},
-{1893, 15, 211, {1, 3, 7, 3, 1, 61, 29, 129, 119, 421, 1597, 2987, 3041, 7629, 23451}},
-{1894, 15, 220, {1, 1, 7, 9, 13, 1, 99, 105, 107, 509, 989, 2259, 1009, 6827, 8903}},
-{1895, 15, 229, {1, 3, 5, 15, 11, 29, 85, 29, 265, 105, 2035, 3349, 3543, 13903, 10213}},
-{1896, 15, 230, {1, 3, 1, 1, 25, 19, 53, 139, 467, 485, 491, 3067, 7353, 13861, 25819}},
-{1897, 15, 239, {1, 1, 5, 3, 3, 43, 41, 185, 45, 463, 351, 2823, 2519, 6705, 11395}},
-{1898, 15, 254, {1, 3, 7, 13, 11, 15, 87, 221, 427, 673, 1631, 599, 3259, 10691, 31283}},
-{1899, 15, 265, {1, 3, 5, 11, 9, 9, 15, 49, 275, 335, 1613, 3587, 5309, 14849, 26475}},
-{1900, 15, 285, {1, 3, 7, 9, 29, 13, 79, 225, 381, 781, 1411, 2761, 7157, 14983, 19717}},
-{1901, 15, 290, {1, 1, 7, 11, 29, 25, 117, 183, 101, 651, 653, 3157, 445, 14389, 23293}},
-{1902, 15, 319, {1, 1, 1, 3, 5, 33, 73, 155, 473, 387, 591, 2045, 5965, 16299, 31499}},
-{1903, 15, 324, {1, 3, 1, 7, 11, 33, 29, 21, 491, 937, 729, 4075, 975, 2461, 18991}},
-{1904, 15, 327, {1, 3, 7, 15, 29, 39, 105, 111, 173, 943, 69, 295, 8175, 13037, 26131}},
-{1905, 15, 333, {1, 1, 5, 15, 7, 5, 97, 147, 105, 887, 443, 2595, 5889, 10753, 1619}},
-{1906, 15, 357, {1, 3, 3, 15, 11, 45, 87, 207, 353, 909, 1847, 323, 2283, 12885, 16415}},
-{1907, 15, 364, {1, 1, 5, 3, 19, 33, 43, 79, 115, 653, 359, 2873, 4609, 12439, 6339}},
-{1908, 15, 395, {1, 3, 7, 9, 17, 61, 49, 227, 291, 69, 1753, 3899, 483, 3187, 29041}},
-{1909, 15, 397, {1, 3, 5, 3, 25, 35, 61, 211, 393, 199, 691, 1779, 6295, 13371, 15817}},
-{1910, 15, 405, {1, 3, 7, 5, 7, 23, 37, 91, 245, 915, 579, 867, 6193, 1063, 17363}},
-{1911, 15, 409, {1, 3, 7, 7, 23, 51, 41, 63, 375, 3, 159, 1889, 4419, 1687, 17977}},
-{1912, 15, 419, {1, 1, 1, 7, 13, 11, 53, 43, 317, 325, 1749, 2423, 4123, 8595, 20773}},
-{1913, 15, 422, {1, 1, 7, 7, 9, 9, 61, 113, 437, 213, 1407, 645, 4345, 807, 30411}},
-{1914, 15, 431, {1, 3, 3, 11, 17, 39, 17, 113, 391, 385, 581, 2023, 7449, 10153, 22033}},
-{1915, 15, 433, {1, 1, 3, 5, 29, 31, 101, 215, 379, 377, 1113, 2855, 7147, 14377, 25515}},
-{1916, 15, 436, {1, 3, 5, 5, 13, 3, 121, 125, 227, 969, 11, 1115, 5657, 9209, 6117}},
-{1917, 15, 440, {1, 3, 7, 15, 29, 17, 33, 123, 317, 301, 749, 1365, 5619, 605, 1613}},
-{1918, 15, 453, {1, 3, 1, 15, 7, 53, 125, 249, 219, 655, 105, 2825, 1649, 12783, 19777}},
-{1919, 15, 460, {1, 1, 7, 1, 25, 53, 19, 53, 157, 373, 1855, 495, 5065, 9465, 2313}},
-{1920, 15, 471, {1, 3, 5, 13, 3, 57, 57, 161, 431, 415, 1859, 1033, 6349, 1577, 31579}},
-{1921, 15, 478, {1, 1, 7, 5, 23, 63, 29, 221, 13, 965, 1997, 2265, 1583, 10491, 9551}},
-{1922, 15, 482, {1, 1, 3, 13, 31, 25, 23, 61, 285, 5, 2005, 879, 795, 13299, 19685}},
-{1923, 15, 488, {1, 1, 7, 1, 21, 45, 121, 89, 263, 543, 1333, 2711, 219, 10823, 26139}},
-{1924, 15, 524, {1, 1, 3, 3, 27, 13, 19, 117, 161, 457, 1541, 295, 4953, 12125, 14503}},
-{1925, 15, 529, {1, 3, 5, 3, 7, 63, 13, 247, 439, 681, 977, 2537, 6923, 10323, 7349}},
-{1926, 15, 535, {1, 3, 5, 9, 3, 51, 81, 251, 349, 983, 581, 2515, 2281, 2849, 31915}},
-{1927, 15, 536, {1, 3, 5, 3, 11, 63, 47, 137, 303, 627, 91, 2269, 7097, 2145, 31059}},
-{1928, 15, 539, {1, 1, 3, 15, 13, 17, 53, 27, 133, 13, 117, 1837, 4103, 5843, 29153}},
-{1929, 15, 563, {1, 1, 5, 13, 21, 33, 37, 253, 465, 209, 309, 49, 3209, 15677, 14569}},
-{1930, 15, 566, {1, 1, 7, 15, 13, 21, 33, 203, 499, 141, 1155, 3893, 1663, 2115, 27459}},
-{1931, 15, 572, {1, 3, 5, 11, 21, 9, 39, 157, 257, 273, 1257, 1831, 515, 7969, 20133}},
-{1932, 15, 577, {1, 1, 3, 13, 19, 29, 15, 189, 103, 219, 1395, 517, 7425, 6585, 15865}},
-{1933, 15, 587, {1, 1, 5, 11, 21, 31, 49, 151, 39, 537, 1783, 3449, 6915, 223, 11587}},
-{1934, 15, 592, {1, 3, 3, 11, 7, 63, 69, 31, 27, 911, 1903, 2821, 7977, 12949, 32257}},
-{1935, 15, 602, {1, 1, 7, 9, 25, 45, 23, 233, 511, 595, 1383, 1721, 6789, 12055, 21179}},
-{1936, 15, 623, {1, 1, 7, 13, 1, 27, 123, 49, 439, 683, 501, 641, 1947, 6111, 25423}},
-{1937, 15, 635, {1, 3, 3, 5, 1, 23, 57, 241, 243, 593, 2039, 1617, 2209, 5171, 9675}},
-{1938, 15, 638, {1, 1, 1, 7, 5, 19, 83, 55, 481, 125, 177, 1021, 1139, 11403, 23099}},
-{1939, 15, 654, {1, 1, 3, 5, 29, 39, 33, 217, 461, 907, 733, 3795, 4811, 12939, 27715}},
-{1940, 15, 656, {1, 3, 7, 3, 7, 11, 39, 165, 495, 147, 999, 1827, 817, 603, 9293}},
-{1941, 15, 659, {1, 3, 7, 15, 25, 53, 35, 15, 431, 733, 1213, 2907, 8087, 3939, 27363}},
-{1942, 15, 665, {1, 3, 7, 13, 13, 9, 33, 27, 485, 183, 455, 3341, 2555, 4985, 8793}},
-{1943, 15, 675, {1, 1, 1, 15, 25, 47, 75, 21, 205, 15, 1639, 3067, 1295, 11693, 16903}},
-{1944, 15, 677, {1, 1, 1, 15, 3, 31, 93, 57, 43, 185, 251, 1899, 7885, 10829, 3609}},
-{1945, 15, 687, {1, 1, 3, 1, 29, 9, 69, 223, 221, 537, 365, 3411, 5771, 15279, 5309}},
-{1946, 15, 696, {1, 1, 7, 5, 1, 5, 125, 243, 213, 1003, 1571, 3355, 3981, 8781, 25993}},
-{1947, 15, 701, {1, 1, 1, 13, 7, 19, 53, 243, 301, 75, 1183, 2723, 6687, 13, 16581}},
-{1948, 15, 704, {1, 3, 1, 13, 17, 51, 91, 239, 437, 191, 1065, 2495, 5755, 3405, 8299}},
-{1949, 15, 710, {1, 1, 5, 5, 11, 59, 21, 169, 299, 123, 1845, 2199, 2157, 14461, 10327}},
-{1950, 15, 721, {1, 3, 7, 7, 19, 47, 51, 179, 41, 19, 1347, 2325, 8063, 5993, 15653}},
-{1951, 15, 728, {1, 1, 1, 9, 25, 27, 7, 133, 223, 533, 719, 353, 7093, 8285, 10375}},
-{1952, 15, 738, {1, 3, 5, 15, 31, 5, 67, 39, 441, 495, 977, 3699, 1435, 11385, 14567}},
-{1953, 15, 740, {1, 1, 3, 15, 15, 39, 25, 33, 91, 523, 249, 4035, 769, 5181, 9691}},
-{1954, 15, 749, {1, 1, 3, 3, 3, 57, 83, 187, 423, 165, 161, 3453, 2241, 981, 8429}},
-{1955, 15, 758, {1, 1, 7, 15, 1, 17, 57, 189, 283, 11, 823, 3505, 7025, 11879, 15441}},
-{1956, 15, 761, {1, 1, 3, 11, 1, 41, 7, 255, 385, 339, 607, 1405, 1473, 13697, 9491}},
-{1957, 15, 772, {1, 1, 7, 15, 5, 9, 91, 99, 211, 233, 51, 2663, 1165, 9283, 18495}},
-{1958, 15, 776, {1, 1, 3, 7, 21, 37, 13, 91, 39, 27, 1021, 2813, 5937, 6645, 3403}},
-{1959, 15, 782, {1, 3, 1, 1, 29, 29, 5, 69, 399, 665, 1407, 3921, 2653, 11753, 18925}},
-{1960, 15, 789, {1, 3, 7, 15, 13, 41, 39, 1, 437, 549, 161, 2315, 5631, 8335, 22661}},
-{1961, 15, 810, {1, 1, 3, 1, 7, 17, 115, 61, 69, 955, 475, 3763, 8035, 927, 17893}},
-{1962, 15, 812, {1, 3, 1, 13, 21, 59, 81, 145, 463, 145, 1941, 2777, 7453, 14229, 11281}},
-{1963, 15, 818, {1, 1, 1, 15, 15, 11, 27, 165, 461, 395, 1645, 3611, 7463, 12379, 26787}},
-{1964, 15, 830, {1, 1, 7, 9, 29, 19, 27, 123, 21, 149, 1643, 4001, 7207, 6769, 4647}},
-{1965, 15, 832, {1, 1, 1, 11, 13, 9, 103, 139, 185, 587, 591, 1113, 2223, 11667, 32671}},
-{1966, 15, 852, {1, 3, 1, 1, 31, 13, 19, 93, 229, 125, 1471, 2369, 3055, 10277, 28563}},
-{1967, 15, 855, {1, 3, 7, 5, 7, 53, 99, 175, 161, 851, 617, 4027, 2357, 11199, 1931}},
-{1968, 15, 859, {1, 3, 5, 11, 3, 31, 111, 179, 237, 845, 539, 1057, 259, 3417, 26637}},
-{1969, 15, 865, {1, 1, 5, 3, 21, 49, 125, 119, 463, 403, 737, 1811, 3941, 13015, 29081}},
-{1970, 15, 877, {1, 3, 5, 13, 5, 29, 69, 251, 313, 357, 663, 1097, 3307, 12845, 28495}},
-{1971, 15, 895, {1, 3, 3, 5, 29, 17, 89, 15, 411, 409, 2013, 757, 4085, 12521, 11131}},
-{1972, 15, 901, {1, 1, 1, 15, 7, 51, 3, 193, 493, 133, 381, 2027, 227, 6635, 12931}},
-{1973, 15, 902, {1, 1, 1, 15, 7, 23, 99, 203, 323, 1007, 1465, 2887, 2215, 1787, 22069}},
-{1974, 15, 906, {1, 1, 5, 9, 29, 59, 77, 151, 509, 313, 415, 3977, 5431, 8019, 8571}},
-{1975, 15, 916, {1, 3, 1, 15, 19, 13, 57, 217, 87, 119, 25, 1149, 5667, 3765, 6959}},
-{1976, 15, 920, {1, 3, 7, 13, 19, 31, 119, 3, 457, 117, 905, 361, 1483, 12405, 27005}},
-{1977, 15, 949, {1, 3, 5, 11, 15, 35, 61, 77, 119, 51, 1753, 2765, 1091, 10573, 23595}},
-{1978, 15, 962, {1, 3, 3, 7, 1, 35, 17, 93, 197, 511, 1253, 3031, 2739, 15127, 15147}},
-{1979, 15, 964, {1, 3, 3, 1, 11, 55, 55, 107, 161, 75, 129, 2195, 2023, 4877, 25797}},
-{1980, 15, 967, {1, 3, 5, 7, 23, 19, 113, 167, 167, 271, 1303, 125, 5057, 1323, 5165}},
-{1981, 15, 981, {1, 1, 5, 3, 21, 31, 11, 119, 215, 483, 1535, 407, 6485, 15401, 30297}},
-{1982, 15, 982, {1, 3, 5, 9, 21, 5, 77, 95, 443, 247, 913, 605, 365, 7465, 19707}},
-{1983, 15, 985, {1, 3, 1, 7, 17, 59, 9, 35, 391, 767, 1493, 475, 4725, 7529, 31579}},
-{1984, 15, 991, {1, 3, 3, 7, 31, 21, 61, 31, 421, 179, 273, 771, 5745, 10575, 32765}},
-{1985, 15, 1007, {1, 3, 5, 15, 27, 13, 125, 55, 423, 1021, 497, 3521, 6903, 15111, 8285}},
-{1986, 15, 1016, {1, 1, 5, 9, 13, 31, 105, 93, 421, 709, 643, 1079, 1533, 9149, 10799}},
-{1987, 15, 1024, {1, 3, 1, 11, 19, 29, 53, 199, 319, 247, 655, 3039, 6411, 12267, 14245}},
-{1988, 15, 1051, {1, 3, 1, 11, 9, 57, 5, 91, 469, 149, 259, 329, 5433, 6941, 15093}},
-{1989, 15, 1060, {1, 3, 1, 5, 5, 51, 59, 25, 455, 367, 1623, 441, 3155, 11695, 20767}},
-{1990, 15, 1070, {1, 3, 7, 7, 11, 49, 113, 95, 91, 389, 605, 1973, 2051, 2315, 22229}},
-{1991, 15, 1072, {1, 3, 5, 3, 19, 11, 99, 135, 433, 781, 1473, 885, 1105, 3573, 3739}},
-{1992, 15, 1084, {1, 3, 1, 11, 3, 25, 9, 227, 433, 723, 317, 139, 6627, 8067, 28439}},
-{1993, 15, 1089, {1, 1, 1, 9, 9, 9, 5, 63, 241, 215, 1991, 2949, 3943, 775, 31511}},
-{1994, 15, 1095, {1, 1, 3, 7, 17, 49, 35, 167, 131, 107, 1295, 2465, 4577, 11147, 29833}},
-{1995, 15, 1114, {1, 1, 5, 1, 5, 25, 119, 129, 391, 743, 1069, 2957, 349, 6891, 13635}},
-{1996, 15, 1123, {1, 3, 1, 7, 9, 31, 63, 253, 215, 51, 1347, 2361, 3125, 13049, 28461}},
-{1997, 15, 1132, {1, 1, 7, 9, 3, 31, 21, 163, 255, 47, 259, 535, 5461, 3349, 30649}},
-{1998, 15, 1154, {1, 3, 3, 13, 17, 33, 87, 47, 243, 709, 929, 3943, 3107, 3421, 13721}},
-{1999, 15, 1156, {1, 3, 5, 11, 25, 61, 61, 173, 397, 735, 2005, 3355, 8121, 11593, 27697}},
-{2000, 15, 1163, {1, 3, 5, 15, 17, 43, 63, 231, 275, 311, 1277, 2669, 7307, 2099, 9755}},
-{2001, 15, 1171, {1, 3, 5, 3, 25, 43, 71, 191, 9, 121, 1873, 3747, 7491, 14055, 24293}},
-{2002, 15, 1202, {1, 3, 5, 13, 17, 35, 113, 113, 385, 941, 39, 2705, 1225, 5167, 1373}},
-{2003, 15, 1228, {1, 3, 5, 5, 7, 35, 19, 105, 487, 71, 139, 627, 4187, 3183, 713}},
-{2004, 15, 1239, {1, 1, 5, 13, 29, 29, 103, 5, 157, 869, 1675, 423, 6689, 10697, 5303}},
-{2005, 15, 1255, {1, 1, 5, 1, 29, 31, 61, 111, 473, 963, 685, 1483, 2383, 8109, 8495}},
-{2006, 15, 1256, {1, 1, 5, 3, 19, 13, 95, 113, 217, 59, 1353, 1647, 3617, 3271, 2321}},
-{2007, 15, 1262, {1, 3, 5, 7, 25, 35, 59, 131, 309, 445, 415, 93, 1453, 8789, 30201}},
-{2008, 15, 1270, {1, 1, 5, 1, 5, 43, 71, 241, 123, 189, 831, 3469, 8093, 6187, 32721}},
-{2009, 15, 1279, {1, 3, 7, 5, 25, 31, 123, 171, 319, 379, 889, 2365, 4881, 12225, 16609}},
-{2010, 15, 1308, {1, 3, 1, 11, 27, 43, 121, 63, 291, 591, 811, 1995, 4777, 2083, 31385}},
-{2011, 15, 1322, {1, 1, 5, 11, 27, 53, 85, 187, 461, 823, 703, 399, 6925, 11517, 28697}},
-{2012, 15, 1329, {1, 1, 3, 5, 13, 11, 33, 121, 93, 717, 1275, 3877, 4247, 5845, 26909}},
-{2013, 15, 1330, {1, 3, 1, 9, 7, 5, 47, 199, 367, 561, 185, 2855, 5997, 2699, 7581}},
-{2014, 15, 1336, {1, 1, 5, 9, 23, 11, 71, 201, 61, 729, 1011, 3529, 663, 1413, 25675}},
-{2015, 15, 1341, {1, 3, 7, 13, 27, 21, 11, 127, 281, 487, 1217, 3129, 5541, 3129, 17783}},
-{2016, 15, 1347, {1, 1, 5, 9, 1, 29, 85, 193, 213, 743, 1473, 611, 391, 9405, 21137}},
-{2017, 15, 1349, {1, 3, 3, 3, 31, 63, 37, 147, 39, 351, 79, 3069, 2441, 8901, 8777}},
-{2018, 15, 1359, {1, 1, 7, 7, 25, 49, 55, 47, 441, 343, 1267, 1123, 5917, 14395, 10579}},
-{2019, 15, 1367, {1, 1, 7, 1, 13, 55, 55, 123, 103, 773, 125, 2145, 4743, 13347, 2589}},
-{2020, 15, 1368, {1, 3, 7, 3, 9, 33, 25, 183, 469, 213, 291, 75, 6725, 6847, 26745}},
-{2021, 15, 1390, {1, 3, 3, 7, 15, 43, 7, 79, 171, 21, 1767, 2537, 4285, 12007, 24039}},
-{2022, 15, 1413, {1, 3, 7, 13, 9, 61, 125, 23, 227, 879, 215, 1635, 2835, 883, 15939}},
-{2023, 15, 1414, {1, 1, 5, 13, 25, 45, 63, 43, 183, 829, 149, 989, 987, 3819, 12181}},
-{2024, 15, 1437, {1, 1, 3, 7, 19, 27, 35, 83, 135, 459, 785, 131, 2655, 3329, 3009}},
-{2025, 15, 1441, {1, 1, 7, 5, 11, 41, 9, 219, 475, 985, 1329, 3787, 1975, 4679, 8627}},
-{2026, 15, 1462, {1, 1, 7, 3, 1, 17, 91, 155, 3, 763, 1879, 233, 215, 2955, 25993}},
-{2027, 15, 1465, {1, 1, 1, 11, 25, 11, 23, 227, 453, 775, 1935, 3833, 4583, 269, 705}},
-{2028, 15, 1480, {1, 3, 3, 11, 7, 25, 105, 21, 449, 555, 1275, 3475, 5503, 15617, 813}},
-{2029, 15, 1486, {1, 3, 7, 13, 31, 37, 25, 255, 233, 663, 1155, 1563, 4775, 7449, 29949}},
-{2030, 15, 1504, {1, 1, 3, 1, 23, 51, 51, 137, 63, 809, 349, 2789, 6953, 10605, 18959}},
-{2031, 15, 1509, {1, 3, 3, 13, 21, 45, 15, 161, 393, 229, 437, 2967, 4019, 3893, 21305}},
-{2032, 15, 1514, {1, 1, 3, 7, 5, 11, 15, 211, 287, 131, 1847, 2569, 7881, 15669, 31037}},
-{2033, 15, 1522, {1, 3, 3, 15, 27, 19, 85, 251, 221, 639, 665, 3729, 5771, 7873, 28005}},
-{2034, 15, 1528, {1, 3, 7, 15, 15, 47, 93, 215, 343, 85, 1401, 1375, 2949, 13661, 25453}},
-{2035, 15, 1552, {1, 1, 1, 9, 7, 51, 53, 217, 471, 389, 551, 1141, 1767, 2237, 17797}},
-{2036, 15, 1555, {1, 1, 7, 9, 3, 29, 65, 29, 223, 591, 1719, 1049, 7643, 3853, 29867}},
-{2037, 15, 1571, {1, 1, 1, 11, 13, 41, 85, 29, 451, 387, 1783, 3733, 8033, 4711, 31643}},
-{2038, 15, 1578, {1, 3, 1, 11, 11, 57, 75, 153, 7, 373, 2011, 271, 469, 3267, 18969}},
-{2039, 15, 1585, {1, 1, 5, 3, 19, 43, 7, 243, 385, 293, 923, 843, 4895, 469, 8421}},
-{2040, 15, 1588, {1, 3, 1, 15, 29, 47, 17, 125, 471, 927, 349, 3859, 3059, 11483, 14791}},
-{2041, 15, 1603, {1, 3, 1, 11, 17, 17, 111, 109, 9, 213, 1313, 3903, 4411, 4329, 28277}},
-{2042, 15, 1609, {1, 3, 3, 15, 1, 55, 47, 69, 143, 789, 1149, 3833, 5053, 6949, 10569}},
-{2043, 15, 1617, {1, 3, 5, 7, 11, 15, 79, 83, 123, 937, 1115, 2775, 3041, 11869, 21167}},
-{2044, 15, 1620, {1, 3, 7, 13, 9, 47, 45, 221, 139, 923, 1661, 1379, 2485, 7233, 6035}},
-{2045, 15, 1629, {1, 1, 3, 3, 11, 55, 77, 3, 87, 693, 1991, 1145, 2783, 16207, 24569}},
-{2046, 15, 1636, {1, 1, 5, 11, 3, 35, 91, 9, 391, 927, 101, 1839, 3755, 10345, 16907}},
-{2047, 15, 1648, {1, 3, 5, 3, 5, 49, 79, 91, 205, 443, 1369, 197, 2537, 11219, 17765}},
-{2048, 15, 1667, {1, 1, 3, 15, 9, 7, 25, 25, 357, 247, 477, 421, 7679, 5987, 30079}},
-{2049, 15, 1669, {1, 1, 5, 3, 29, 5, 89, 117, 481, 491, 371, 389, 7101, 2253, 23617}},
-{2050, 15, 1682, {1, 1, 5, 13, 29, 59, 17, 181, 511, 291, 1991, 3499, 8177, 5559, 30045}},
-{2051, 15, 1697, {1, 3, 3, 11, 23, 31, 117, 217, 241, 115, 749, 945, 1897, 12253, 8473}},
-{2052, 15, 1704, {1, 1, 7, 15, 25, 47, 31, 1, 165, 311, 635, 3629, 1593, 8305, 30033}},
-{2053, 15, 1709, {1, 3, 5, 9, 3, 17, 101, 237, 379, 503, 49, 929, 1687, 3865, 26723}},
-{2054, 15, 1727, {1, 3, 5, 5, 15, 41, 1, 239, 53, 215, 1733, 827, 579, 4089, 6579}},
-{2055, 15, 1730, {1, 3, 1, 15, 15, 21, 35, 21, 403, 257, 1475, 2403, 4705, 11553, 203}},
-{2056, 15, 1732, {1, 3, 5, 11, 9, 53, 113, 9, 447, 511, 543, 3141, 7389, 11249, 431}},
-{2057, 15, 1741, {1, 3, 5, 9, 9, 11, 55, 93, 325, 411, 305, 2573, 6871, 12339, 6435}},
-{2058, 15, 1744, {1, 3, 3, 7, 31, 27, 21, 113, 99, 853, 365, 589, 3731, 10875, 12767}},
-{2059, 15, 1759, {1, 3, 1, 7, 15, 27, 31, 17, 275, 93, 1161, 2619, 1329, 7307, 587}},
-{2060, 15, 1765, {1, 3, 5, 9, 17, 47, 49, 237, 27, 193, 1237, 591, 5151, 5521, 31583}},
-{2061, 15, 1766, {1, 3, 5, 3, 13, 1, 27, 87, 43, 977, 305, 3293, 2475, 14571, 18321}},
-{2062, 15, 1778, {1, 1, 5, 7, 15, 13, 101, 1, 291, 807, 1711, 2277, 5573, 11051, 13133}},
-{2063, 15, 1780, {1, 3, 3, 1, 9, 3, 65, 81, 415, 733, 1527, 2747, 6069, 159, 7095}},
-{2064, 15, 1783, {1, 3, 3, 15, 27, 1, 71, 49, 231, 851, 2039, 613, 1899, 2537, 14511}},
-{2065, 15, 1797, {1, 1, 1, 11, 3, 41, 55, 23, 247, 1011, 581, 2363, 2745, 1337, 20931}},
-{2066, 15, 1807, {1, 1, 3, 11, 17, 61, 67, 255, 143, 357, 945, 3407, 5817, 4155, 23851}},
-{2067, 15, 1821, {1, 3, 5, 3, 23, 1, 75, 247, 265, 413, 1899, 2565, 6629, 15655, 16117}},
-{2068, 15, 1832, {1, 1, 1, 9, 11, 49, 11, 189, 223, 177, 1457, 1931, 163, 15905, 17297}},
-{2069, 15, 1835, {1, 3, 7, 13, 17, 1, 111, 189, 343, 961, 427, 2507, 2393, 8653, 6353}},
-{2070, 15, 1849, {1, 3, 7, 13, 23, 61, 59, 51, 313, 963, 791, 3681, 5637, 3965, 9263}},
-{2071, 15, 1850, {1, 3, 7, 7, 21, 53, 127, 141, 499, 859, 337, 2835, 3195, 4351, 32369}},
-{2072, 15, 1863, {1, 1, 7, 5, 1, 5, 53, 63, 497, 535, 35, 305, 4395, 9757, 13193}},
-{2073, 15, 1867, {1, 1, 5, 13, 13, 31, 59, 229, 211, 745, 1453, 3677, 3005, 7703, 23907}},
-{2074, 15, 1869, {1, 3, 5, 5, 7, 63, 17, 197, 493, 861, 499, 3015, 6349, 1815, 7437}},
-{2075, 15, 1872, {1, 1, 1, 13, 13, 37, 29, 189, 253, 1017, 321, 3145, 407, 7547, 17099}},
-{2076, 15, 1887, {1, 3, 3, 3, 23, 53, 69, 77, 175, 17, 1831, 841, 3851, 1295, 32107}},
-{2077, 15, 1888, {1, 3, 7, 13, 13, 39, 107, 237, 389, 729, 635, 3717, 3041, 3169, 14987}},
-{2078, 15, 1897, {1, 1, 3, 1, 25, 7, 69, 35, 495, 49, 659, 2783, 6051, 13875, 23927}},
-{2079, 15, 1906, {1, 3, 7, 5, 5, 25, 49, 7, 193, 493, 93, 657, 1515, 13975, 14155}},
-{2080, 15, 1917, {1, 3, 1, 1, 11, 15, 113, 45, 21, 595, 731, 3397, 4117, 9711, 16625}},
-{2081, 15, 1927, {1, 3, 3, 9, 19, 19, 59, 7, 105, 579, 599, 2859, 97, 14717, 15361}},
-{2082, 15, 1939, {1, 1, 1, 5, 27, 49, 113, 5, 367, 563, 1397, 2805, 3021, 3111, 20671}},
-{2083, 15, 1941, {1, 3, 3, 15, 27, 51, 99, 167, 109, 365, 1959, 1523, 6959, 14405, 18191}},
-{2084, 15, 1948, {1, 3, 1, 5, 21, 51, 125, 67, 123, 45, 1657, 51, 4825, 14081, 31049}},
-{2085, 15, 1970, {1, 1, 5, 7, 21, 59, 21, 249, 77, 793, 1687, 2561, 2241, 4321, 7477}},
-{2086, 15, 1979, {1, 1, 1, 7, 15, 35, 71, 29, 267, 611, 1813, 1823, 7039, 3299, 9919}},
-{2087, 15, 1982, {1, 3, 7, 11, 21, 59, 109, 213, 371, 785, 659, 1687, 4827, 6017, 19619}},
-{2088, 15, 2002, {1, 1, 3, 11, 27, 17, 1, 55, 367, 939, 333, 127, 5105, 2405, 28139}},
-{2089, 15, 2020, {1, 1, 7, 13, 5, 35, 59, 133, 509, 573, 625, 3857, 7935, 5279, 3727}},
-{2090, 15, 2024, {1, 1, 1, 7, 11, 47, 127, 157, 19, 403, 151, 1143, 7407, 8985, 32521}},
-{2091, 15, 2032, {1, 3, 1, 1, 5, 13, 105, 123, 63, 139, 1569, 1983, 563, 7175, 27705}},
-{2092, 15, 2053, {1, 1, 3, 13, 9, 35, 105, 227, 145, 21, 1369, 57, 393, 2921, 18511}},
-{2093, 15, 2060, {1, 3, 1, 7, 17, 61, 99, 187, 261, 281, 437, 2219, 5999, 1857, 18001}},
-{2094, 15, 2063, {1, 3, 3, 5, 1, 59, 67, 45, 451, 439, 2005, 3607, 3, 7167, 14227}},
-{2095, 15, 2066, {1, 3, 3, 3, 29, 19, 25, 251, 275, 733, 1749, 4021, 871, 3227, 13701}},
-{2096, 15, 2075, {1, 3, 3, 13, 27, 53, 57, 243, 491, 521, 1921, 1037, 5013, 5703, 15261}},
-{2097, 15, 2078, {1, 3, 1, 11, 13, 57, 1, 15, 123, 533, 785, 335, 1423, 14269, 3483}},
-{2098, 15, 2081, {1, 3, 7, 13, 15, 55, 5, 139, 385, 47, 1981, 1291, 7397, 12925, 29445}},
-{2099, 15, 2091, {1, 1, 7, 1, 23, 23, 59, 93, 117, 57, 63, 3047, 4849, 11637, 25311}},
-{2100, 15, 2096, {1, 1, 7, 13, 19, 37, 25, 203, 477, 447, 1345, 3485, 2099, 13347, 11621}},
-{2101, 15, 2102, {1, 1, 7, 3, 11, 23, 81, 17, 41, 735, 1149, 3253, 7665, 8291, 22293}},
-{2102, 15, 2106, {1, 1, 5, 3, 15, 9, 57, 167, 463, 493, 747, 1947, 6471, 1111, 31619}},
-{2103, 15, 2116, {1, 1, 5, 15, 7, 15, 107, 205, 325, 167, 1749, 927, 3589, 6127, 7617}},
-{2104, 15, 2120, {1, 1, 1, 13, 21, 25, 83, 147, 411, 399, 1423, 2279, 3661, 7591, 17429}},
-{2105, 15, 2125, {1, 1, 1, 9, 5, 17, 69, 205, 243, 647, 473, 1717, 1977, 10725, 2913}},
-{2106, 15, 2134, {1, 1, 3, 5, 5, 37, 103, 15, 485, 641, 1761, 3755, 6997, 10985, 11773}},
-{2107, 15, 2178, {1, 1, 5, 13, 9, 51, 87, 195, 97, 807, 1801, 961, 6341, 4307, 29105}},
-{2108, 15, 2180, {1, 3, 1, 13, 9, 35, 83, 61, 387, 817, 951, 3993, 7831, 8479, 23941}},
-{2109, 15, 2187, {1, 1, 7, 11, 19, 47, 75, 37, 91, 337, 953, 1169, 163, 2259, 24713}},
-{2110, 15, 2189, {1, 1, 1, 11, 13, 15, 83, 171, 159, 87, 619, 2973, 2653, 13725, 12499}},
-{2111, 15, 2190, {1, 3, 5, 3, 5, 63, 119, 25, 343, 269, 553, 2183, 959, 3825, 22189}},
-{2112, 15, 2208, {1, 1, 5, 15, 5, 37, 89, 109, 497, 1013, 265, 669, 1859, 2647, 3445}},
-{2113, 15, 2214, {1, 3, 3, 9, 21, 21, 15, 245, 107, 649, 367, 1601, 7279, 15783, 4943}},
-{2114, 15, 2237, {1, 3, 3, 15, 5, 41, 125, 113, 159, 161, 1191, 3491, 3531, 55, 20857}},
-{2115, 15, 2252, {1, 3, 5, 9, 21, 57, 21, 195, 99, 193, 1915, 2923, 6349, 15085, 24929}},
-{2116, 15, 2257, {1, 1, 1, 11, 31, 11, 73, 141, 361, 621, 1021, 2067, 5115, 12665, 26845}},
-{2117, 15, 2260, {1, 1, 1, 3, 29, 11, 43, 61, 209, 923, 1753, 1937, 843, 205, 8367}},
-{2118, 15, 2264, {1, 1, 1, 5, 15, 33, 119, 209, 215, 973, 1775, 815, 6693, 7957, 14517}},
-{2119, 15, 2270, {1, 1, 1, 5, 17, 57, 27, 147, 489, 59, 1439, 2279, 445, 11791, 19739}},
-{2120, 15, 2279, {1, 3, 1, 7, 11, 55, 1, 83, 305, 17, 1909, 405, 2325, 5293, 28559}},
-{2121, 15, 2288, {1, 3, 3, 7, 11, 27, 103, 157, 455, 1005, 2033, 3145, 1919, 15723, 25197}},
-{2122, 15, 2305, {1, 1, 5, 11, 15, 51, 37, 131, 503, 1007, 1795, 2421, 1335, 7413, 21741}},
-{2123, 15, 2312, {1, 1, 3, 1, 23, 63, 69, 83, 419, 283, 583, 123, 7725, 2243, 8403}},
-{2124, 15, 2317, {1, 1, 5, 5, 27, 45, 109, 17, 299, 65, 351, 947, 1165, 10723, 2053}},
-{2125, 15, 2323, {1, 1, 3, 3, 23, 61, 115, 253, 1, 931, 1481, 3187, 441, 14735, 27207}},
-{2126, 15, 2329, {1, 1, 5, 3, 25, 11, 83, 141, 359, 343, 901, 1629, 731, 12841, 14357}},
-{2127, 15, 2335, {1, 1, 3, 9, 7, 45, 97, 3, 299, 217, 663, 1527, 6379, 4527, 26147}},
-{2128, 15, 2342, {1, 1, 7, 9, 11, 53, 9, 203, 337, 713, 1517, 719, 4587, 11443, 26905}},
-{2129, 15, 2345, {1, 1, 7, 9, 11, 41, 125, 213, 237, 377, 361, 3231, 4223, 3263, 12655}},
-{2130, 15, 2365, {1, 3, 7, 7, 7, 33, 99, 19, 117, 273, 985, 107, 3831, 10135, 19423}},
-{2131, 15, 2371, {1, 1, 5, 15, 25, 41, 13, 125, 449, 169, 1149, 4021, 5663, 3077, 19163}},
-{2132, 15, 2378, {1, 3, 5, 9, 25, 57, 47, 103, 269, 51, 1805, 2503, 6687, 8065, 12045}},
-{2133, 15, 2385, {1, 3, 5, 7, 3, 35, 87, 225, 189, 229, 931, 3293, 1347, 1427, 3269}},
-{2134, 15, 2395, {1, 1, 1, 3, 5, 31, 61, 19, 247, 9, 1667, 343, 559, 2703, 3763}},
-{2135, 15, 2404, {1, 3, 5, 15, 31, 19, 57, 187, 109, 121, 1287, 2269, 659, 16235, 1273}},
-{2136, 15, 2414, {1, 1, 1, 3, 5, 47, 59, 243, 255, 97, 1959, 1723, 1347, 3019, 26989}},
-{2137, 15, 2426, {1, 3, 3, 15, 29, 35, 75, 67, 497, 731, 193, 3307, 3579, 12005, 7209}},
-{2138, 15, 2428, {1, 1, 5, 9, 13, 35, 79, 213, 51, 983, 1927, 1793, 5037, 5463, 965}},
-{2139, 15, 2441, {1, 1, 7, 11, 5, 41, 7, 83, 15, 411, 1775, 3515, 6755, 3249, 16425}},
-{2140, 15, 2456, {1, 3, 5, 1, 19, 61, 3, 19, 395, 819, 1331, 179, 5225, 5333, 3601}},
-{2141, 15, 2466, {1, 1, 3, 9, 7, 5, 87, 15, 387, 609, 1465, 277, 987, 8377, 903}},
-{2142, 15, 2468, {1, 1, 1, 3, 15, 11, 123, 107, 355, 333, 285, 1801, 6989, 1549, 25791}},
-{2143, 15, 2475, {1, 1, 7, 13, 27, 13, 73, 111, 481, 227, 1091, 365, 5713, 5087, 27217}},
-{2144, 15, 2489, {1, 3, 3, 15, 1, 55, 95, 213, 377, 405, 139, 1867, 2175, 4217, 28813}},
-{2145, 15, 2495, {1, 3, 5, 11, 21, 43, 109, 155, 181, 901, 1951, 507, 4389, 10815, 3141}},
-{2146, 15, 2497, {1, 1, 1, 15, 17, 11, 43, 215, 501, 19, 259, 3479, 6381, 6927, 31247}},
-{2147, 15, 2510, {1, 3, 5, 15, 19, 61, 75, 41, 391, 95, 865, 1441, 7993, 13979, 24663}},
-{2148, 15, 2512, {1, 3, 1, 3, 21, 15, 115, 213, 1, 645, 777, 1517, 2543, 11223, 3633}},
-{2149, 15, 2522, {1, 3, 5, 3, 9, 57, 39, 211, 407, 65, 1795, 2805, 2799, 8691, 1987}},
-{2150, 15, 2533, {1, 1, 3, 13, 17, 55, 47, 113, 29, 139, 1301, 3303, 1129, 13947, 29821}},
-{2151, 15, 2543, {1, 1, 3, 13, 5, 35, 97, 151, 477, 409, 1397, 3399, 4421, 15929, 6163}},
-{2152, 15, 2551, {1, 3, 1, 9, 21, 51, 99, 133, 149, 763, 623, 173, 4311, 11081, 1095}},
-{2153, 15, 2552, {1, 3, 7, 15, 13, 3, 99, 3, 195, 907, 1335, 1355, 7977, 5773, 32383}},
-{2154, 15, 2557, {1, 1, 3, 9, 17, 43, 43, 217, 475, 917, 1373, 1677, 4871, 9619, 16657}},
-{2155, 15, 2567, {1, 3, 3, 7, 31, 31, 55, 11, 73, 693, 25, 417, 1195, 6225, 32279}},
-{2156, 15, 2581, {1, 3, 5, 9, 21, 57, 127, 149, 79, 379, 1609, 2543, 6473, 16033, 27191}},
-{2157, 15, 2586, {1, 1, 5, 1, 13, 9, 81, 153, 297, 789, 1749, 2819, 3961, 11231, 24927}},
-{2158, 15, 2597, {1, 3, 5, 3, 23, 61, 45, 43, 43, 133, 1481, 1543, 2991, 13739, 10287}},
-{2159, 15, 2601, {1, 1, 3, 9, 25, 43, 31, 177, 337, 193, 1083, 1, 991, 9725, 8379}},
-{2160, 15, 2622, {1, 3, 5, 11, 13, 33, 65, 83, 421, 149, 409, 2443, 7423, 8847, 29599}},
-{2161, 15, 2633, {1, 1, 5, 11, 11, 1, 23, 225, 77, 585, 1505, 2525, 739, 10915, 25733}},
-{2162, 15, 2636, {1, 3, 7, 13, 7, 55, 3, 223, 415, 521, 1865, 2349, 5663, 7455, 16569}},
-{2163, 15, 2642, {1, 1, 7, 13, 1, 45, 121, 49, 463, 99, 1061, 2559, 5087, 13389, 11035}},
-{2164, 15, 2644, {1, 3, 7, 11, 31, 51, 35, 235, 385, 1023, 1771, 2013, 5437, 4877, 22119}},
-{2165, 15, 2653, {1, 3, 3, 11, 21, 3, 11, 119, 81, 737, 1093, 2377, 4055, 1121, 15767}},
-{2166, 15, 2667, {1, 1, 5, 13, 9, 3, 83, 217, 387, 249, 1047, 1861, 4103, 15367, 24545}},
-{2167, 15, 2669, {1, 3, 3, 1, 5, 37, 43, 183, 383, 463, 937, 1165, 1481, 959, 17047}},
-{2168, 15, 2672, {1, 1, 3, 5, 7, 43, 127, 243, 81, 1021, 165, 753, 4711, 12965, 22049}},
-{2169, 15, 2675, {1, 1, 5, 5, 3, 61, 65, 53, 425, 89, 5, 1467, 1395, 9579, 8961}},
-{2170, 15, 2682, {1, 3, 7, 13, 11, 35, 123, 21, 83, 689, 667, 1203, 5959, 15697, 26885}},
-{2171, 15, 2687, {1, 1, 5, 13, 9, 49, 41, 101, 291, 339, 1067, 657, 4453, 1137, 21131}},
-{2172, 15, 2691, {1, 3, 3, 3, 17, 61, 11, 213, 27, 805, 1691, 1057, 6011, 11941, 18883}},
-{2173, 15, 2698, {1, 3, 1, 7, 3, 51, 5, 63, 121, 3, 245, 2631, 3737, 16121, 26803}},
-{2174, 15, 2708, {1, 3, 1, 1, 23, 51, 79, 19, 161, 107, 609, 3489, 3389, 4035, 2427}},
-{2175, 15, 2712, {1, 3, 1, 1, 17, 11, 101, 101, 373, 63, 1641, 285, 1333, 165, 14025}},
-{2176, 15, 2718, {1, 1, 1, 5, 1, 51, 83, 137, 45, 1019, 821, 867, 6055, 10443, 9857}},
-{2177, 15, 2722, {1, 3, 1, 5, 17, 23, 25, 181, 429, 495, 317, 3219, 5963, 13945, 9969}},
-{2178, 15, 2736, {1, 3, 7, 3, 3, 15, 123, 191, 369, 177, 1697, 2113, 3889, 5201, 21839}},
-{2179, 15, 2741, {1, 3, 1, 11, 21, 39, 51, 139, 271, 605, 1007, 3513, 3365, 3781, 6799}},
-{2180, 15, 2756, {1, 1, 7, 5, 13, 19, 47, 165, 249, 405, 255, 1295, 4513, 14395, 5587}},
-{2181, 15, 2765, {1, 1, 3, 7, 5, 17, 99, 1, 393, 31, 621, 797, 6113, 16003, 32043}},
-{2182, 15, 2774, {1, 3, 5, 13, 11, 21, 65, 81, 147, 443, 775, 3671, 7029, 11749, 3339}},
-{2183, 15, 2799, {1, 3, 7, 1, 23, 33, 99, 177, 161, 577, 1729, 617, 3465, 11787, 17577}},
-{2184, 15, 2804, {1, 1, 5, 7, 15, 15, 53, 193, 97, 255, 1223, 545, 5153, 873, 24525}},
-{2185, 15, 2825, {1, 3, 5, 1, 7, 57, 47, 121, 383, 835, 1709, 2363, 4731, 12163, 7001}},
-{2186, 15, 2826, {1, 3, 3, 11, 19, 33, 63, 99, 387, 95, 783, 1009, 6373, 4021, 7685}},
-{2187, 15, 2840, {1, 1, 1, 15, 25, 33, 73, 135, 335, 785, 935, 1927, 5847, 10501, 7719}},
-{2188, 15, 2843, {1, 1, 5, 3, 27, 45, 71, 215, 489, 157, 1189, 2577, 6901, 10219, 3025}},
-{2189, 15, 2846, {1, 1, 7, 7, 21, 3, 97, 225, 101, 159, 293, 2789, 7955, 14829, 1209}},
-{2190, 15, 2849, {1, 3, 1, 5, 23, 41, 83, 63, 361, 195, 1707, 2081, 5363, 6327, 179}},
-{2191, 15, 2867, {1, 1, 3, 1, 21, 51, 59, 67, 175, 363, 825, 2971, 3321, 8837, 11805}},
-{2192, 15, 2876, {1, 3, 7, 1, 19, 3, 15, 21, 429, 675, 1589, 2615, 2575, 1537, 7139}},
-{2193, 15, 2891, {1, 3, 3, 5, 21, 29, 17, 115, 345, 397, 523, 1699, 7043, 11173, 3023}},
-{2194, 15, 2902, {1, 1, 5, 7, 19, 63, 99, 175, 91, 433, 153, 3749, 517, 13667, 7423}},
-{2195, 15, 2912, {1, 3, 7, 3, 25, 23, 53, 149, 65, 551, 1231, 365, 6637, 15137, 16319}},
-{2196, 15, 2917, {1, 3, 7, 13, 5, 45, 11, 151, 323, 31, 1749, 409, 6753, 10503, 14991}},
-{2197, 15, 2927, {1, 3, 7, 3, 5, 21, 29, 117, 321, 341, 1811, 3619, 4337, 12255, 8629}},
-{2198, 15, 2941, {1, 3, 7, 3, 7, 3, 5, 221, 407, 671, 1763, 3669, 2353, 8175, 23489}},
-{2199, 15, 2965, {1, 1, 3, 7, 11, 55, 53, 185, 247, 35, 1823, 513, 1379, 11827, 20069}},
-{2200, 15, 2970, {1, 3, 3, 5, 29, 51, 73, 191, 185, 961, 881, 2019, 5651, 1019, 15587}},
-{2201, 15, 2982, {1, 3, 7, 13, 7, 55, 59, 5, 417, 829, 453, 2339, 587, 13283, 797}},
-{2202, 15, 2993, {1, 3, 7, 3, 11, 41, 75, 85, 65, 149, 1583, 529, 2707, 11479, 7109}},
-{2203, 15, 3018, {1, 3, 7, 9, 13, 57, 37, 243, 91, 613, 665, 171, 1631, 13737, 2377}},
-{2204, 15, 3023, {1, 1, 3, 7, 5, 43, 97, 53, 477, 793, 999, 3647, 2555, 7371, 19295}},
-{2205, 15, 3025, {1, 1, 7, 1, 1, 9, 99, 253, 317, 817, 1559, 2081, 2529, 14611, 15997}},
-{2206, 15, 3026, {1, 3, 3, 1, 5, 41, 57, 121, 387, 441, 709, 1511, 7045, 8409, 13297}},
-{2207, 15, 3028, {1, 1, 1, 13, 29, 57, 63, 183, 327, 473, 1943, 213, 3973, 16289, 2739}},
-{2208, 15, 3032, {1, 3, 7, 9, 25, 15, 75, 185, 335, 881, 1041, 3339, 4471, 6823, 21121}},
-{2209, 15, 3053, {1, 3, 3, 13, 23, 3, 57, 117, 511, 927, 771, 3229, 949, 15487, 11963}},
-{2210, 15, 3054, {1, 1, 3, 7, 27, 19, 55, 207, 331, 705, 1945, 797, 7125, 10493, 16585}},
-{2211, 15, 3065, {1, 3, 1, 1, 29, 7, 91, 93, 459, 93, 1501, 1927, 6415, 16255, 9823}},
-{2212, 15, 3071, {1, 1, 5, 5, 31, 11, 97, 179, 505, 807, 877, 4003, 4377, 8851, 4239}},
-{2213, 15, 3076, {1, 1, 3, 5, 11, 25, 17, 131, 23, 95, 311, 1429, 2029, 13091, 23739}},
-{2214, 15, 3088, {1, 1, 3, 11, 13, 27, 33, 127, 481, 117, 1127, 1619, 6493, 8507, 6615}},
-{2215, 15, 3107, {1, 3, 1, 13, 19, 27, 89, 101, 27, 235, 1579, 1701, 4421, 16037, 16239}},
-{2216, 15, 3146, {1, 3, 1, 15, 1, 15, 3, 117, 317, 475, 1691, 2423, 5519, 1703, 2969}},
-{2217, 15, 3148, {1, 1, 3, 1, 13, 15, 19, 37, 237, 467, 1321, 453, 2169, 13313, 31499}},
-{2218, 15, 3159, {1, 1, 3, 15, 29, 55, 31, 199, 85, 285, 967, 367, 3941, 151, 20587}},
-{2219, 15, 3165, {1, 3, 7, 15, 7, 13, 31, 35, 117, 543, 1179, 3441, 3039, 11225, 30229}},
-{2220, 15, 3170, {1, 1, 3, 15, 3, 43, 1, 63, 353, 395, 1775, 3493, 5175, 13193, 25343}},
-{2221, 15, 3179, {1, 3, 3, 15, 17, 25, 57, 205, 411, 83, 1877, 2093, 5599, 12115, 8751}},
-{2222, 15, 3182, {1, 1, 1, 11, 15, 9, 115, 99, 85, 887, 987, 4015, 7077, 3739, 21505}},
-{2223, 15, 3205, {1, 3, 1, 11, 25, 39, 127, 37, 329, 273, 1531, 3211, 7115, 15501, 26575}},
-{2224, 15, 3212, {1, 1, 5, 13, 15, 3, 3, 101, 431, 645, 493, 723, 8083, 1423, 14879}},
-{2225, 15, 3218, {1, 3, 3, 5, 31, 35, 37, 131, 259, 849, 325, 3403, 3627, 3295, 30885}},
-{2226, 15, 3220, {1, 3, 7, 1, 9, 3, 31, 201, 379, 907, 1005, 3333, 7457, 2533, 30357}},
-{2227, 15, 3223, {1, 3, 1, 9, 7, 7, 95, 103, 121, 157, 895, 2683, 5839, 12403, 14327}},
-{2228, 15, 3227, {1, 3, 7, 3, 13, 5, 55, 233, 3, 855, 859, 1115, 3883, 8041, 3353}},
-{2229, 15, 3233, {1, 1, 5, 9, 3, 55, 99, 79, 263, 831, 1579, 205, 5673, 1999, 14879}},
-{2230, 15, 3234, {1, 3, 1, 5, 17, 25, 85, 19, 189, 141, 877, 667, 4461, 11915, 23247}},
-{2231, 15, 3254, {1, 1, 5, 5, 1, 35, 15, 219, 469, 725, 1793, 3683, 3661, 15627, 30197}},
-{2232, 15, 3263, {1, 1, 7, 5, 27, 3, 41, 153, 431, 487, 759, 1345, 6735, 9937, 26277}},
-{2233, 15, 3268, {1, 1, 1, 11, 11, 13, 41, 121, 265, 465, 1447, 5, 3407, 1907, 10037}},
-{2234, 15, 3272, {1, 3, 5, 9, 15, 63, 5, 7, 407, 83, 365, 3687, 7721, 6973, 16967}},
-{2235, 15, 3277, {1, 1, 7, 7, 5, 41, 75, 155, 417, 565, 1199, 1111, 2823, 10703, 22561}},
-{2236, 15, 3292, {1, 3, 7, 5, 7, 43, 39, 185, 105, 327, 1977, 1137, 3261, 10583, 11661}},
-{2237, 15, 3295, {1, 3, 7, 7, 19, 19, 103, 137, 169, 273, 1357, 3413, 7647, 10531, 32489}},
-{2238, 15, 3296, {1, 1, 3, 13, 13, 3, 81, 23, 161, 295, 735, 2031, 1027, 15513, 20165}},
-{2239, 15, 3301, {1, 1, 5, 1, 15, 1, 91, 35, 375, 207, 1417, 1115, 2237, 11749, 8509}},
-{2240, 15, 3306, {1, 3, 7, 3, 25, 51, 49, 219, 195, 417, 1523, 3953, 5739, 7499, 27071}},
-{2241, 15, 3313, {1, 1, 3, 11, 23, 29, 19, 81, 421, 633, 513, 547, 7545, 29, 11909}},
-{2242, 15, 3346, {1, 1, 1, 7, 13, 61, 33, 243, 221, 231, 111, 879, 2861, 1795, 27531}},
-{2243, 15, 3367, {1, 3, 7, 3, 19, 21, 1, 141, 159, 605, 969, 3013, 6583, 2447, 19919}},
-{2244, 15, 3371, {1, 3, 7, 3, 31, 9, 91, 83, 29, 873, 929, 43, 2253, 12539, 23951}},
-{2245, 15, 3373, {1, 1, 5, 3, 31, 15, 87, 105, 319, 973, 1489, 3417, 3377, 15749, 2357}},
-{2246, 15, 3374, {1, 1, 3, 15, 7, 23, 3, 81, 383, 419, 713, 997, 6873, 593, 285}},
-{2247, 15, 3376, {1, 3, 3, 1, 29, 13, 29, 101, 441, 693, 2039, 2951, 5921, 12129, 12053}},
-{2248, 15, 3382, {1, 1, 3, 15, 9, 29, 97, 117, 421, 433, 1017, 125, 3607, 9415, 6843}},
-{2249, 15, 3388, {1, 3, 5, 9, 11, 13, 75, 155, 413, 75, 109, 1599, 6161, 16115, 12621}},
-{2250, 15, 3391, {1, 3, 3, 3, 11, 13, 49, 225, 401, 599, 1815, 1643, 7853, 13305, 25195}},
-{2251, 15, 3403, {1, 3, 7, 5, 15, 11, 27, 95, 387, 931, 549, 2179, 3397, 15883, 16563}},
-{2252, 15, 3406, {1, 1, 7, 3, 9, 39, 121, 5, 453, 27, 1747, 657, 2593, 1289, 12577}},
-{2253, 15, 3413, {1, 3, 7, 5, 25, 25, 109, 49, 185, 985, 631, 803, 3865, 8955, 17901}},
-{2254, 15, 3420, {1, 1, 3, 13, 3, 59, 47, 49, 139, 275, 1471, 2995, 5593, 14011, 18741}},
-{2255, 15, 3427, {1, 1, 5, 15, 29, 11, 97, 225, 245, 291, 1873, 2365, 767, 3419, 14943}},
-{2256, 15, 3441, {1, 3, 3, 5, 15, 17, 19, 209, 359, 891, 1375, 2003, 7247, 5299, 28841}},
-{2257, 15, 3453, {1, 3, 7, 7, 9, 55, 105, 35, 77, 47, 1023, 13, 2901, 847, 10265}},
-{2258, 15, 3464, {1, 3, 7, 7, 7, 5, 65, 233, 141, 277, 1333, 2357, 443, 7257, 21979}},
-{2259, 15, 3469, {1, 3, 5, 11, 13, 63, 41, 87, 193, 737, 1085, 2317, 7869, 10149, 12163}},
-{2260, 15, 3481, {1, 3, 1, 1, 7, 57, 75, 235, 461, 857, 155, 2679, 5925, 2565, 10881}},
-{2261, 15, 3488, {1, 1, 7, 15, 13, 41, 63, 135, 433, 387, 1943, 2249, 5469, 11679, 28661}},
-{2262, 15, 3497, {1, 3, 3, 13, 5, 3, 103, 161, 367, 649, 789, 1179, 4163, 5699, 16787}},
-{2263, 15, 3503, {1, 3, 7, 7, 31, 13, 45, 141, 113, 769, 1035, 457, 6709, 14989, 27311}},
-{2264, 15, 3511, {1, 1, 3, 1, 1, 43, 119, 145, 111, 593, 1139, 417, 637, 4437, 17285}},
-{2265, 15, 3515, {1, 3, 5, 9, 9, 33, 19, 99, 201, 685, 1793, 2621, 6857, 8769, 5623}},
-{2266, 15, 3525, {1, 3, 5, 5, 23, 43, 27, 189, 325, 415, 215, 1253, 3599, 1215, 10093}},
-{2267, 15, 3529, {1, 1, 3, 13, 11, 35, 113, 173, 503, 19, 1459, 503, 5363, 3967, 13945}},
-{2268, 15, 3547, {1, 1, 5, 11, 31, 49, 13, 173, 199, 623, 1231, 2495, 6581, 7957, 25321}},
-{2269, 15, 3550, {1, 3, 1, 9, 23, 3, 79, 149, 505, 937, 1839, 3701, 1673, 8589, 8031}},
-{2270, 15, 3573, {1, 3, 3, 5, 21, 27, 107, 11, 505, 407, 177, 3593, 4729, 12773, 11685}},
-{2271, 15, 3583, {1, 3, 1, 11, 29, 49, 79, 53, 61, 895, 2035, 563, 5613, 6065, 6207}},
-{2272, 15, 3594, {1, 1, 3, 7, 1, 53, 3, 215, 99, 865, 1749, 3533, 4305, 1243, 28463}},
-{2273, 15, 3607, {1, 1, 1, 13, 31, 59, 115, 53, 403, 909, 847, 103, 4967, 10623, 30073}},
-{2274, 15, 3613, {1, 1, 7, 5, 27, 1, 119, 83, 457, 81, 395, 811, 6221, 14337, 541}},
-{2275, 15, 3624, {1, 1, 5, 5, 5, 53, 83, 117, 269, 327, 875, 101, 3343, 715, 26339}},
-{2276, 15, 3630, {1, 1, 1, 11, 31, 39, 121, 147, 305, 383, 1211, 1897, 7647, 11687, 18907}},
-{2277, 15, 3635, {1, 3, 3, 15, 23, 53, 17, 85, 395, 503, 61, 1745, 4713, 4641, 13787}},
-{2278, 15, 3642, {1, 1, 7, 7, 27, 1, 105, 29, 287, 37, 959, 975, 4427, 4705, 10175}},
-{2279, 15, 3644, {1, 3, 3, 5, 7, 63, 57, 199, 27, 107, 1095, 3923, 6969, 713, 11619}},
-{2280, 15, 3650, {1, 3, 5, 1, 5, 49, 85, 45, 449, 45, 49, 3419, 1109, 455, 15917}},
-{2281, 15, 3679, {1, 1, 1, 5, 13, 15, 39, 27, 467, 85, 1537, 3055, 1977, 8829, 25231}},
-{2282, 15, 3690, {1, 1, 1, 15, 1, 47, 23, 121, 147, 547, 1865, 1491, 779, 3515, 12667}},
-{2283, 15, 3698, {1, 3, 3, 1, 19, 5, 77, 101, 1, 721, 1149, 2967, 4925, 11889, 16655}},
-{2284, 15, 3704, {1, 1, 1, 7, 1, 35, 95, 239, 127, 855, 1031, 455, 7631, 6039, 21983}},
-{2285, 15, 3707, {1, 3, 7, 9, 23, 43, 75, 105, 335, 223, 1825, 3217, 413, 7473, 30005}},
-{2286, 15, 3713, {1, 1, 5, 15, 29, 9, 43, 145, 223, 523, 511, 323, 5955, 11141, 22533}},
-{2287, 15, 3754, {1, 1, 3, 1, 13, 61, 93, 133, 461, 233, 383, 693, 7347, 3165, 27493}},
-{2288, 15, 3756, {1, 3, 7, 1, 13, 45, 113, 207, 53, 1007, 815, 1145, 2937, 289, 22195}},
-{2289, 15, 3761, {1, 3, 5, 5, 19, 17, 113, 89, 19, 1023, 1625, 3277, 697, 5187, 15433}},
-{2290, 15, 3776, {1, 1, 3, 13, 21, 15, 15, 197, 409, 391, 1993, 2475, 3189, 4431, 29585}},
-{2291, 15, 3781, {1, 1, 5, 5, 31, 7, 111, 231, 187, 543, 45, 3863, 3811, 4573, 4437}},
-{2292, 15, 3788, {1, 3, 3, 7, 19, 7, 123, 23, 79, 513, 189, 3663, 1291, 13257, 8949}},
-{2293, 15, 3791, {1, 1, 5, 13, 3, 53, 109, 133, 157, 223, 651, 3059, 6055, 14455, 26903}},
-{2294, 15, 3794, {1, 1, 7, 1, 23, 63, 59, 229, 17, 199, 643, 637, 7631, 13647, 7399}},
-{2295, 15, 3806, {1, 1, 1, 3, 1, 51, 119, 67, 335, 543, 913, 3565, 4795, 13405, 7463}},
-{2296, 15, 3841, {1, 1, 5, 3, 31, 5, 91, 97, 23, 223, 837, 1353, 1929, 12043, 10039}},
-{2297, 15, 3848, {1, 3, 5, 7, 19, 3, 79, 171, 301, 687, 1545, 355, 4709, 12965, 16797}},
-{2298, 15, 3851, {1, 3, 5, 11, 11, 49, 111, 123, 251, 569, 1605, 401, 5439, 13519, 8847}},
-{2299, 15, 3856, {1, 3, 1, 3, 3, 53, 7, 55, 369, 633, 181, 4037, 2993, 15815, 8661}},
-{2300, 15, 3868, {1, 1, 1, 13, 31, 29, 75, 167, 279, 597, 539, 1791, 8013, 4387, 9717}},
-{2301, 15, 3875, {1, 1, 5, 7, 17, 15, 99, 183, 211, 49, 225, 3143, 4537, 13141, 23375}},
-{2302, 15, 3882, {1, 1, 3, 5, 3, 59, 25, 149, 467, 69, 1939, 1007, 2765, 4693, 29815}},
-{2303, 15, 3884, {1, 3, 1, 3, 17, 33, 119, 189, 447, 251, 879, 177, 5395, 13487, 9587}},
-{2304, 15, 3889, {1, 3, 3, 7, 15, 31, 115, 3, 21, 817, 475, 1849, 6041, 12541, 18701}},
-{2305, 15, 3892, {1, 1, 5, 13, 31, 33, 7, 115, 361, 587, 1919, 1007, 3537, 7493, 19357}},
-{2306, 15, 3919, {1, 3, 7, 13, 23, 35, 15, 111, 123, 633, 805, 1983, 2109, 14477, 4985}},
-{2307, 15, 3921, {1, 3, 3, 11, 25, 13, 11, 205, 97, 893, 927, 1291, 4007, 13593, 29693}},
-{2308, 15, 3958, {1, 3, 5, 15, 9, 13, 121, 89, 215, 823, 1389, 1581, 8095, 4707, 16061}},
-{2309, 15, 3961, {1, 3, 1, 3, 23, 39, 83, 23, 47, 941, 1419, 2389, 5699, 7519, 5829}},
-{2310, 15, 3973, {1, 3, 1, 9, 23, 43, 79, 237, 93, 203, 695, 225, 5645, 3591, 16775}},
-{2311, 15, 3977, {1, 3, 5, 3, 15, 19, 89, 129, 375, 125, 225, 1323, 2267, 11607, 17937}},
-{2312, 15, 3985, {1, 3, 3, 1, 31, 37, 93, 133, 377, 959, 707, 621, 7179, 15493, 30287}},
-{2313, 15, 3991, {1, 3, 7, 13, 5, 13, 15, 1, 37, 525, 1641, 2829, 6139, 4069, 19187}},
-{2314, 15, 4004, {1, 3, 3, 9, 17, 3, 67, 97, 375, 845, 403, 973, 3919, 2275, 31627}},
-{2315, 15, 4007, {1, 1, 3, 3, 25, 7, 91, 67, 271, 465, 481, 3477, 5229, 241, 8411}},
-{2316, 15, 4019, {1, 1, 1, 11, 1, 41, 109, 115, 75, 787, 309, 2887, 179, 9073, 13895}},
-{2317, 15, 4045, {1, 3, 3, 15, 11, 31, 113, 91, 303, 907, 1933, 2167, 7799, 11821, 20659}},
-{2318, 15, 4054, {1, 3, 1, 15, 27, 17, 21, 41, 99, 137, 1397, 929, 5819, 11977, 6201}},
-{2319, 15, 4057, {1, 1, 7, 13, 21, 29, 47, 239, 287, 305, 899, 2711, 1723, 3315, 199}},
-{2320, 15, 4058, {1, 1, 1, 3, 31, 21, 101, 149, 107, 761, 1197, 1703, 4803, 8411, 10649}},
-{2321, 15, 4070, {1, 1, 5, 15, 23, 45, 109, 221, 85, 619, 169, 1013, 3305, 9451, 26189}},
-{2322, 15, 4101, {1, 3, 5, 13, 7, 57, 19, 153, 231, 627, 565, 1595, 6309, 5037, 25505}},
-{2323, 15, 4113, {1, 1, 7, 7, 1, 45, 43, 79, 271, 59, 219, 2255, 1785, 7919, 24061}},
-{2324, 15, 4114, {1, 3, 7, 5, 31, 57, 57, 231, 33, 227, 531, 679, 1141, 85, 19777}},
-{2325, 15, 4119, {1, 1, 3, 15, 11, 59, 59, 169, 459, 693, 907, 1191, 3783, 12809, 6263}},
-{2326, 15, 4129, {1, 1, 7, 13, 19, 21, 105, 65, 267, 141, 1547, 781, 7295, 13565, 17775}},
-{2327, 15, 4141, {1, 3, 3, 5, 31, 63, 97, 155, 477, 661, 329, 797, 2539, 4061, 10537}},
-{2328, 15, 4142, {1, 3, 3, 7, 11, 17, 119, 89, 71, 103, 1043, 413, 6035, 12829, 11559}},
-{2329, 15, 4147, {1, 3, 1, 9, 5, 19, 53, 185, 103, 629, 2015, 1257, 5163, 10581, 13449}},
-{2330, 15, 4149, {1, 1, 1, 5, 23, 35, 25, 129, 179, 959, 677, 2249, 6315, 12151, 3459}},
-{2331, 15, 4150, {1, 1, 1, 1, 9, 47, 93, 45, 35, 45, 265, 2065, 6225, 25, 27135}},
-{2332, 15, 4164, {1, 3, 1, 11, 21, 53, 127, 163, 311, 667, 597, 1561, 4515, 23, 9551}},
-{2333, 15, 4168, {1, 1, 3, 3, 7, 47, 105, 211, 241, 95, 389, 899, 6001, 8129, 19889}},
-{2334, 15, 4186, {1, 1, 3, 15, 29, 45, 9, 27, 483, 799, 269, 1811, 4493, 7109, 22149}},
-{2335, 15, 4198, {1, 1, 3, 3, 29, 5, 57, 205, 187, 615, 1677, 3987, 4577, 8799, 16311}},
-{2336, 15, 4207, {1, 1, 5, 3, 15, 5, 91, 101, 319, 445, 1261, 2039, 4071, 8249, 11611}},
-{2337, 15, 4221, {1, 3, 7, 11, 19, 17, 1, 185, 153, 579, 1001, 2031, 2295, 16335, 24771}},
-{2338, 15, 4225, {1, 3, 3, 15, 13, 45, 93, 185, 319, 667, 1085, 93, 577, 11551, 11355}},
-{2339, 15, 4231, {1, 1, 7, 13, 3, 61, 45, 191, 51, 981, 1151, 2715, 2503, 4147, 4587}},
-{2340, 15, 4238, {1, 1, 3, 3, 27, 17, 71, 141, 57, 981, 1033, 333, 4639, 15885, 1039}},
-{2341, 15, 4243, {1, 3, 3, 15, 21, 55, 33, 123, 357, 893, 829, 4045, 5027, 11727, 13357}},
-{2342, 15, 4249, {1, 1, 1, 9, 31, 47, 27, 223, 311, 205, 179, 3411, 4019, 10997, 28115}},
-{2343, 15, 4250, {1, 3, 5, 1, 3, 39, 15, 7, 501, 641, 735, 295, 2005, 12641, 19779}},
-{2344, 15, 4252, {1, 3, 3, 1, 15, 1, 75, 243, 329, 267, 1323, 2285, 5389, 11881, 15737}},
-{2345, 15, 4259, {1, 1, 3, 3, 13, 17, 101, 99, 209, 939, 1147, 3221, 5159, 3435, 183}},
-{2346, 15, 4279, {1, 1, 1, 1, 27, 43, 29, 179, 179, 659, 807, 313, 4165, 963, 11317}},
-{2347, 15, 4285, {1, 1, 3, 13, 9, 51, 125, 245, 381, 555, 1383, 3887, 2045, 12829, 12029}},
-{2348, 15, 4288, {1, 1, 1, 9, 29, 39, 55, 127, 235, 617, 1553, 3133, 7735, 14725, 16733}},
-{2349, 15, 4303, {1, 1, 3, 5, 15, 9, 47, 217, 89, 987, 1083, 1045, 4745, 12915, 13719}},
-{2350, 15, 4312, {1, 3, 3, 7, 23, 3, 35, 79, 45, 435, 1549, 2645, 2831, 10359, 10041}},
-{2351, 15, 4322, {1, 1, 7, 15, 31, 61, 25, 223, 511, 319, 487, 1677, 739, 7097, 18417}},
-{2352, 15, 4327, {1, 1, 7, 5, 19, 21, 123, 237, 299, 367, 1341, 1449, 2949, 8629, 11051}},
-{2353, 15, 4336, {1, 3, 7, 7, 31, 53, 125, 33, 257, 719, 1297, 895, 5095, 10237, 12309}},
-{2354, 15, 4359, {1, 3, 1, 5, 31, 59, 73, 211, 97, 209, 1289, 4033, 6143, 14275, 7997}},
-{2355, 15, 4384, {1, 1, 5, 7, 31, 5, 75, 105, 389, 985, 9, 4033, 1185, 7821, 19083}},
-{2356, 15, 4387, {1, 1, 1, 15, 11, 39, 73, 253, 275, 813, 25, 3441, 2493, 5873, 3739}},
-{2357, 15, 4401, {1, 3, 7, 1, 31, 19, 119, 5, 109, 397, 1329, 3347, 5941, 12449, 2533}},
-{2358, 15, 4407, {1, 1, 1, 1, 5, 59, 61, 175, 435, 985, 65, 3781, 5425, 15073, 16361}},
-{2359, 15, 4428, {1, 3, 5, 7, 31, 13, 53, 87, 69, 305, 1455, 273, 2197, 4277, 24423}},
-{2360, 15, 4436, {1, 3, 3, 15, 13, 13, 91, 171, 71, 583, 15, 3599, 6801, 10041, 26097}},
-{2361, 15, 4450, {1, 3, 3, 5, 5, 13, 91, 225, 63, 69, 1795, 341, 461, 5015, 9471}},
-{2362, 15, 4452, {1, 3, 7, 5, 21, 55, 109, 39, 459, 925, 229, 2855, 5807, 2117, 31739}},
-{2363, 15, 4459, {1, 1, 3, 3, 1, 5, 17, 177, 401, 727, 1555, 3097, 1243, 5933, 14579}},
-{2364, 15, 4461, {1, 1, 7, 3, 19, 19, 37, 87, 105, 73, 197, 4067, 6237, 10553, 9207}},
-{2365, 15, 4470, {1, 1, 3, 15, 1, 55, 119, 115, 441, 3, 1003, 1631, 197, 12929, 25385}},
-{2366, 15, 4483, {1, 3, 7, 11, 31, 1, 119, 49, 467, 647, 685, 2771, 3689, 11049, 26787}},
-{2367, 15, 4485, {1, 1, 1, 11, 19, 19, 21, 73, 459, 935, 615, 371, 1099, 14407, 10375}},
-{2368, 15, 4486, {1, 3, 5, 13, 15, 3, 107, 179, 259, 677, 1101, 315, 7673, 14639, 11241}},
-{2369, 15, 4492, {1, 1, 7, 9, 15, 21, 93, 25, 349, 23, 1087, 27, 5691, 12997, 29301}},
-{2370, 15, 4497, {1, 3, 3, 5, 7, 43, 1, 195, 69, 753, 1315, 2629, 3259, 5595, 19439}},
-{2371, 15, 4514, {1, 3, 5, 5, 31, 9, 75, 217, 217, 197, 1925, 2033, 3585, 15219, 20251}},
-{2372, 15, 4533, {1, 1, 5, 11, 17, 31, 3, 209, 315, 49, 949, 2267, 4611, 4375, 16431}},
-{2373, 15, 4537, {1, 1, 7, 9, 17, 35, 13, 115, 119, 553, 1527, 2857, 3599, 391, 25101}},
-{2374, 15, 4546, {1, 3, 3, 15, 13, 59, 17, 177, 301, 719, 909, 1663, 5033, 1129, 529}},
-{2375, 15, 4551, {1, 1, 7, 5, 15, 13, 99, 157, 379, 975, 1019, 2251, 3807, 10621, 351}},
-{2376, 15, 4555, {1, 3, 3, 13, 5, 57, 5, 31, 361, 981, 883, 3723, 2259, 5151, 11783}},
-{2377, 15, 4560, {1, 1, 1, 13, 1, 43, 125, 19, 77, 509, 1817, 3795, 1863, 8401, 27253}},
-{2378, 15, 4569, {1, 1, 5, 7, 19, 41, 21, 151, 89, 189, 769, 1937, 4497, 13607, 24691}},
-{2379, 15, 4576, {1, 1, 1, 9, 21, 9, 1, 195, 31, 907, 1719, 1549, 809, 13629, 16597}},
-{2380, 15, 4582, {1, 1, 1, 3, 21, 61, 103, 219, 311, 849, 523, 21, 4533, 6367, 3935}},
-{2381, 15, 4586, {1, 1, 7, 9, 7, 33, 77, 19, 489, 933, 1729, 1813, 6741, 10701, 7}},
-{2382, 15, 4609, {1, 1, 1, 5, 23, 53, 43, 63, 453, 209, 1313, 2847, 2641, 13783, 14983}},
-{2383, 15, 4610, {1, 3, 7, 7, 15, 45, 83, 241, 509, 659, 213, 221, 5205, 6019, 18945}},
-{2384, 15, 4612, {1, 1, 5, 9, 25, 43, 37, 9, 191, 505, 765, 295, 953, 1045, 11203}},
-{2385, 15, 4649, {1, 3, 7, 11, 5, 49, 45, 177, 379, 695, 355, 1711, 7747, 497, 7597}},
-{2386, 15, 4652, {1, 1, 5, 13, 23, 47, 101, 145, 301, 207, 195, 2225, 8093, 15345, 14097}},
-{2387, 15, 4672, {1, 3, 7, 13, 9, 9, 55, 223, 343, 921, 1825, 3281, 2627, 855, 27651}},
-{2388, 15, 4677, {1, 1, 7, 1, 21, 1, 67, 149, 433, 111, 577, 3675, 495, 9043, 23613}},
-{2389, 15, 4684, {1, 3, 1, 13, 9, 39, 37, 73, 117, 559, 1131, 2511, 7599, 8393, 24747}},
-{2390, 15, 4690, {1, 3, 3, 7, 11, 15, 85, 229, 7, 21, 1649, 739, 375, 13991, 27053}},
-{2391, 15, 4695, {1, 1, 5, 5, 15, 41, 49, 117, 173, 825, 1343, 377, 1789, 12519, 30667}},
-{2392, 15, 4696, {1, 1, 7, 15, 9, 11, 97, 99, 347, 729, 9, 1703, 1177, 5189, 9061}},
-{2393, 15, 4702, {1, 1, 5, 11, 15, 25, 99, 63, 89, 675, 561, 215, 8111, 3955, 24635}},
-{2394, 15, 4705, {1, 1, 1, 1, 7, 53, 99, 193, 233, 731, 733, 1883, 7783, 14413, 14003}},
-{2395, 15, 4717, {1, 3, 5, 7, 31, 23, 45, 153, 337, 293, 443, 2301, 5135, 7455, 13123}},
-{2396, 15, 4726, {1, 3, 1, 3, 23, 53, 23, 165, 53, 875, 1543, 1035, 4247, 5101, 28445}},
-{2397, 15, 4736, {1, 1, 1, 15, 13, 41, 77, 93, 205, 743, 1101, 1413, 2371, 7183, 12337}},
-{2398, 15, 4753, {1, 1, 3, 15, 17, 63, 25, 101, 147, 149, 1207, 3525, 2661, 9539, 11145}},
-{2399, 15, 4754, {1, 3, 1, 9, 17, 5, 3, 35, 389, 909, 1017, 2803, 5243, 13025, 8851}},
-{2400, 15, 4756, {1, 1, 7, 15, 19, 27, 69, 91, 71, 547, 1421, 831, 6969, 5517, 28233}},
-{2401, 15, 4775, {1, 1, 3, 3, 17, 45, 55, 63, 263, 819, 1211, 2739, 655, 13269, 22281}},
-{2402, 15, 4801, {1, 3, 1, 5, 23, 13, 81, 251, 83, 551, 491, 1029, 3561, 357, 23393}},
-{2403, 15, 4819, {1, 3, 1, 13, 25, 27, 93, 143, 407, 403, 1395, 1733, 3187, 1917, 31453}},
-{2404, 15, 4828, {1, 1, 7, 13, 3, 21, 85, 113, 483, 461, 1343, 561, 2081, 10857, 24253}},
-{2405, 15, 4838, {1, 1, 1, 1, 11, 11, 53, 135, 25, 163, 1729, 617, 1533, 10881, 16041}},
-{2406, 15, 4852, {1, 1, 5, 1, 3, 49, 125, 139, 77, 891, 815, 3431, 4875, 12513, 4595}},
-{2407, 15, 4856, {1, 1, 1, 1, 27, 63, 111, 109, 421, 425, 345, 1613, 5447, 1357, 32413}},
-{2408, 15, 4873, {1, 3, 5, 3, 17, 5, 37, 171, 259, 281, 1003, 2901, 3241, 15557, 21415}},
-{2409, 15, 4887, {1, 1, 5, 11, 15, 55, 75, 199, 493, 215, 1625, 2345, 7873, 2325, 11003}},
-{2410, 15, 4891, {1, 3, 7, 1, 21, 33, 23, 5, 495, 941, 1185, 475, 5799, 15161, 10677}},
-{2411, 15, 4904, {1, 1, 5, 9, 31, 37, 37, 29, 217, 389, 297, 3097, 7319, 2601, 15307}},
-{2412, 15, 4912, {1, 3, 7, 5, 7, 45, 111, 167, 297, 275, 1669, 2489, 1511, 15753, 1289}},
-{2413, 15, 4921, {1, 3, 1, 7, 3, 45, 19, 11, 189, 199, 1227, 2647, 1897, 9077, 17189}},
-{2414, 15, 4936, {1, 1, 1, 13, 15, 39, 19, 179, 147, 341, 283, 3029, 7599, 8937, 18761}},
-{2415, 15, 4941, {1, 3, 3, 9, 3, 11, 41, 255, 365, 835, 921, 389, 919, 15223, 14541}},
-{2416, 15, 4942, {1, 1, 3, 3, 5, 37, 29, 203, 313, 271, 1207, 487, 3711, 3811, 26757}},
-{2417, 15, 4963, {1, 3, 7, 9, 19, 53, 49, 139, 351, 537, 1681, 1595, 5399, 13839, 28685}},
-{2418, 15, 4984, {1, 3, 1, 1, 15, 35, 21, 37, 247, 891, 1855, 1243, 3137, 10381, 30379}},
-{2419, 15, 4990, {1, 3, 7, 5, 9, 47, 91, 25, 479, 337, 781, 3545, 1045, 9491, 22853}},
-{2420, 15, 5005, {1, 1, 5, 15, 19, 31, 81, 5, 117, 923, 565, 2443, 7383, 1795, 11685}},
-{2421, 15, 5013, {1, 3, 3, 5, 17, 15, 21, 245, 489, 889, 2047, 2737, 7445, 14785, 13401}},
-{2422, 15, 5020, {1, 1, 1, 15, 19, 45, 67, 117, 299, 607, 953, 743, 6863, 12123, 6701}},
-{2423, 15, 5039, {1, 1, 3, 1, 1, 43, 19, 129, 345, 861, 209, 2387, 7205, 7131, 8235}},
-{2424, 15, 5048, {1, 3, 5, 1, 1, 13, 75, 99, 333, 157, 23, 1217, 1857, 15479, 16031}},
-{2425, 15, 5062, {1, 3, 3, 11, 7, 61, 119, 89, 491, 401, 227, 1739, 3807, 16003, 2875}},
-{2426, 15, 5080, {1, 3, 7, 15, 13, 55, 3, 159, 405, 593, 975, 361, 2563, 6061, 28087}},
-{2427, 15, 5085, {1, 1, 3, 13, 19, 5, 5, 9, 119, 41, 33, 1111, 4443, 4663, 28841}},
-{2428, 15, 5086, {1, 1, 7, 7, 25, 59, 125, 255, 49, 947, 1673, 2947, 6369, 2267, 8813}},
-{2429, 15, 5095, {1, 1, 5, 15, 25, 25, 111, 193, 217, 193, 821, 2779, 69, 2957, 27043}},
-{2430, 15, 5096, {1, 3, 5, 7, 21, 19, 51, 157, 203, 487, 1745, 1875, 911, 14071, 7557}},
-{2431, 15, 5102, {1, 1, 5, 9, 3, 15, 55, 73, 313, 245, 1061, 1929, 3035, 607, 11563}},
-{2432, 15, 5107, {1, 1, 5, 7, 3, 57, 105, 121, 461, 43, 803, 1801, 4059, 2157, 17547}},
-{2433, 15, 5141, {1, 3, 7, 7, 19, 11, 1, 121, 499, 841, 601, 3515, 2969, 13697, 8917}},
-{2434, 15, 5145, {1, 3, 3, 3, 13, 35, 113, 231, 391, 689, 697, 2871, 7387, 715, 27005}},
-{2435, 15, 5148, {1, 1, 1, 13, 19, 5, 17, 43, 175, 291, 987, 1917, 7635, 15655, 10689}},
-{2436, 15, 5157, {1, 1, 7, 15, 19, 37, 121, 243, 125, 623, 1231, 29, 2325, 5147, 21435}},
-{2437, 15, 5158, {1, 3, 5, 15, 25, 27, 57, 187, 77, 401, 1489, 2977, 5415, 3381, 2551}},
-{2438, 15, 5162, {1, 1, 1, 7, 1, 1, 85, 27, 115, 559, 9, 2365, 711, 5733, 2819}},
-{2439, 15, 5172, {1, 3, 1, 15, 9, 29, 61, 113, 169, 349, 591, 1061, 6041, 7613, 23691}},
-{2440, 15, 5182, {1, 1, 5, 1, 13, 45, 49, 227, 345, 563, 87, 3597, 3961, 7205, 8441}},
-{2441, 15, 5184, {1, 1, 1, 5, 3, 21, 121, 183, 463, 83, 1365, 539, 1485, 10063, 24867}},
-{2442, 15, 5193, {1, 3, 5, 5, 3, 61, 101, 237, 41, 147, 1907, 3049, 7583, 8283, 6099}},
-{2443, 15, 5199, {1, 3, 1, 15, 31, 57, 19, 155, 445, 805, 1793, 207, 1975, 3357, 14281}},
-{2444, 15, 5201, {1, 1, 7, 13, 9, 39, 27, 73, 165, 345, 543, 4095, 133, 10469, 11573}},
-{2445, 15, 5204, {1, 1, 7, 15, 17, 57, 99, 81, 359, 367, 1057, 1173, 4225, 15127, 2615}},
-{2446, 15, 5211, {1, 3, 5, 3, 31, 23, 113, 111, 495, 947, 1625, 1195, 2053, 1509, 1347}},
-{2447, 15, 5223, {1, 1, 5, 5, 9, 47, 25, 63, 455, 107, 771, 3815, 3827, 16287, 11615}},
-{2448, 15, 5230, {1, 1, 7, 9, 17, 61, 51, 215, 63, 123, 1253, 3927, 721, 9647, 3283}},
-{2449, 15, 5232, {1, 1, 5, 15, 11, 17, 83, 255, 473, 107, 681, 763, 7855, 8043, 31503}},
-{2450, 15, 5253, {1, 3, 1, 7, 7, 31, 37, 5, 253, 155, 2017, 609, 1421, 14927, 25241}},
-{2451, 15, 5257, {1, 3, 3, 13, 31, 25, 21, 241, 431, 193, 681, 2265, 5091, 11479, 21443}},
-{2452, 15, 5260, {1, 3, 5, 5, 15, 9, 49, 255, 157, 995, 631, 1995, 3605, 9085, 24245}},
-{2453, 15, 5284, {1, 3, 3, 7, 19, 31, 85, 153, 493, 951, 451, 1587, 6609, 3681, 13205}},
-{2454, 15, 5306, {1, 1, 5, 1, 17, 41, 107, 231, 307, 361, 575, 3239, 3443, 16159, 20625}},
-{2455, 15, 5331, {1, 1, 7, 9, 31, 49, 93, 79, 181, 117, 1241, 3645, 4901, 12599, 13247}},
-{2456, 15, 5334, {1, 3, 3, 9, 7, 31, 127, 201, 11, 199, 1851, 23, 5667, 8159, 20951}},
-{2457, 15, 5364, {1, 3, 3, 7, 3, 37, 29, 189, 65, 461, 769, 321, 6577, 16223, 16865}},
-{2458, 15, 5367, {1, 1, 5, 11, 1, 13, 91, 167, 33, 111, 1445, 1047, 2479, 12623, 22893}},
-{2459, 15, 5371, {1, 1, 3, 1, 3, 1, 47, 185, 329, 903, 1651, 3005, 907, 1255, 8303}},
-{2460, 15, 5382, {1, 3, 5, 13, 19, 31, 5, 233, 265, 769, 1303, 2503, 2229, 14019, 20257}},
-{2461, 15, 5386, {1, 3, 7, 3, 27, 11, 67, 195, 5, 661, 125, 3761, 7211, 16043, 7267}},
-{2462, 15, 5399, {1, 1, 1, 3, 27, 13, 115, 25, 473, 417, 1751, 2223, 2099, 5913, 14273}},
-{2463, 15, 5400, {1, 3, 7, 15, 13, 53, 99, 115, 225, 737, 1621, 539, 4131, 471, 31865}},
-{2464, 15, 5409, {1, 1, 5, 5, 25, 19, 39, 207, 153, 569, 1755, 2477, 3065, 7383, 29919}},
-{2465, 15, 5415, {1, 3, 5, 11, 13, 59, 33, 3, 435, 273, 701, 3819, 7291, 11803, 26111}},
-{2466, 15, 5416, {1, 1, 3, 9, 29, 19, 71, 59, 93, 1019, 887, 83, 4675, 7541, 26821}},
-{2467, 15, 5424, {1, 3, 1, 3, 21, 53, 71, 73, 43, 321, 1581, 1399, 4043, 12995, 16825}},
-{2468, 15, 5436, {1, 3, 7, 15, 3, 13, 37, 11, 93, 873, 1193, 3481, 451, 15869, 17879}},
-{2469, 15, 5454, {1, 3, 1, 11, 31, 19, 101, 57, 129, 753, 853, 463, 6757, 11083, 8667}},
-{2470, 15, 5462, {1, 3, 5, 15, 25, 41, 25, 197, 235, 609, 905, 993, 3233, 1935, 24661}},
-{2471, 15, 5468, {1, 3, 1, 5, 21, 7, 53, 107, 473, 77, 1135, 1045, 4933, 5615, 15931}},
-{2472, 15, 5481, {1, 3, 7, 11, 3, 9, 105, 183, 151, 527, 425, 975, 4073, 913, 2793}},
-{2473, 15, 5505, {1, 1, 7, 13, 19, 61, 81, 9, 413, 851, 1723, 1113, 1453, 8635, 3353}},
-{2474, 15, 5511, {1, 3, 7, 15, 19, 53, 83, 31, 441, 343, 575, 935, 4543, 1303, 12567}},
-{2475, 15, 5518, {1, 1, 1, 5, 29, 19, 119, 75, 3, 591, 845, 649, 1717, 13695, 26905}},
-{2476, 15, 5530, {1, 1, 7, 9, 5, 53, 127, 191, 15, 773, 1433, 2899, 21, 4977, 17839}},
-{2477, 15, 5532, {1, 1, 5, 9, 21, 9, 99, 115, 397, 99, 725, 3835, 973, 1219, 21159}},
-{2478, 15, 5539, {1, 3, 5, 3, 7, 39, 29, 93, 303, 913, 981, 3549, 5225, 10907, 393}},
-{2479, 15, 5553, {1, 3, 3, 11, 9, 25, 105, 101, 1, 867, 389, 2241, 773, 14123, 10015}},
-{2480, 15, 5573, {1, 1, 5, 1, 1, 37, 117, 213, 391, 779, 1851, 1485, 1277, 5607, 819}},
-{2481, 15, 5580, {1, 3, 7, 1, 3, 5, 43, 47, 483, 367, 749, 1693, 4961, 15257, 3775}},
-{2482, 15, 5597, {1, 3, 3, 1, 27, 11, 21, 83, 437, 379, 1041, 393, 5611, 2421, 31739}},
-{2483, 15, 5602, {1, 3, 5, 7, 19, 1, 79, 63, 53, 201, 1159, 2501, 6327, 11317, 9537}},
-{2484, 15, 5608, {1, 3, 5, 13, 9, 37, 61, 217, 427, 913, 1311, 3503, 5473, 10583, 19723}},
-{2485, 15, 5611, {1, 1, 3, 9, 11, 29, 121, 175, 141, 515, 925, 837, 6011, 10419, 32157}},
-{2486, 15, 5613, {1, 3, 5, 9, 27, 57, 97, 175, 365, 367, 1737, 3845, 1257, 12243, 2201}},
-{2487, 15, 5625, {1, 3, 3, 9, 23, 1, 53, 123, 127, 333, 1335, 707, 5747, 6541, 9809}},
-{2488, 15, 5632, {1, 3, 1, 9, 17, 37, 101, 41, 91, 61, 433, 979, 4345, 12351, 10829}},
-{2489, 15, 5635, {1, 3, 3, 13, 3, 21, 15, 49, 257, 99, 1793, 2987, 5233, 11625, 28069}},
-{2490, 15, 5638, {1, 1, 7, 11, 21, 13, 89, 11, 135, 153, 783, 2893, 6815, 12007, 15605}},
-{2491, 15, 5652, {1, 3, 7, 13, 5, 61, 73, 5, 269, 699, 925, 2925, 5919, 5841, 24875}},
-{2492, 15, 5659, {1, 3, 5, 5, 25, 45, 43, 93, 15, 927, 1253, 319, 1173, 14559, 20221}},
-{2493, 15, 5677, {1, 1, 3, 3, 27, 45, 9, 103, 447, 627, 1239, 3869, 2169, 49, 17917}},
-{2494, 15, 5686, {1, 3, 7, 7, 11, 9, 1, 1, 1, 527, 825, 3295, 623, 2095, 10537}},
-{2495, 15, 5689, {1, 3, 3, 11, 21, 11, 59, 165, 33, 743, 1461, 1535, 6393, 1301, 17823}},
-{2496, 15, 5698, {1, 1, 7, 3, 19, 43, 47, 245, 469, 551, 1447, 1963, 169, 1481, 31925}},
-{2497, 15, 5703, {1, 1, 3, 1, 11, 21, 51, 7, 251, 199, 1153, 767, 6417, 3417, 30171}},
-{2498, 15, 5707, {1, 3, 7, 1, 31, 5, 41, 103, 447, 263, 211, 2029, 8021, 4705, 10579}},
-{2499, 15, 5731, {1, 1, 3, 5, 17, 25, 55, 75, 393, 107, 2017, 2389, 1685, 14021, 9161}},
-{2500, 15, 5738, {1, 1, 1, 9, 13, 1, 75, 237, 205, 461, 689, 2531, 2839, 13925, 23351}},
-{2501, 15, 5743, {1, 3, 7, 1, 23, 39, 33, 189, 157, 571, 239, 1053, 1559, 1685, 23059}},
-{2502, 15, 5748, {1, 3, 3, 3, 27, 61, 71, 121, 49, 157, 1341, 1707, 2417, 11689, 26507}},
-{2503, 15, 5758, {1, 3, 7, 7, 19, 63, 47, 53, 95, 791, 1467, 1273, 2045, 755, 8555}},
-{2504, 15, 5762, {1, 1, 3, 15, 27, 33, 21, 253, 317, 153, 1509, 1765, 3809, 601, 5907}},
-{2505, 15, 5768, {1, 3, 5, 15, 11, 17, 97, 91, 165, 199, 1751, 2135, 1315, 3077, 29995}},
-{2506, 15, 5773, {1, 3, 1, 5, 3, 33, 93, 49, 39, 743, 341, 2549, 7603, 3369, 30889}},
-{2507, 15, 5776, {1, 1, 3, 13, 3, 5, 87, 63, 293, 785, 1591, 675, 3915, 2209, 18201}},
-{2508, 15, 5815, {1, 3, 3, 11, 3, 15, 69, 231, 241, 127, 429, 2201, 8173, 12549, 25745}},
-{2509, 15, 5841, {1, 1, 5, 11, 15, 39, 3, 29, 125, 685, 643, 1385, 829, 7347, 28793}},
-{2510, 15, 5847, {1, 1, 7, 15, 27, 15, 59, 237, 299, 773, 1097, 3875, 6503, 7129, 28495}},
-{2511, 15, 5860, {1, 3, 5, 13, 9, 17, 31, 227, 69, 443, 1633, 525, 1659, 14681, 15209}},
-{2512, 15, 5870, {1, 3, 5, 5, 13, 51, 69, 173, 111, 433, 279, 2145, 2091, 9741, 24881}},
-{2513, 15, 5875, {1, 3, 1, 7, 7, 35, 55, 51, 357, 99, 1789, 333, 2073, 10151, 14527}},
-{2514, 15, 5877, {1, 3, 3, 7, 13, 41, 101, 87, 425, 701, 1143, 2733, 6473, 8667, 17419}},
-{2515, 15, 5884, {1, 1, 5, 5, 25, 29, 63, 31, 385, 537, 563, 607, 6723, 9251, 6531}},
-{2516, 15, 5892, {1, 3, 5, 5, 9, 63, 111, 131, 239, 723, 705, 2805, 6579, 12691, 17521}},
-{2517, 15, 5902, {1, 3, 1, 7, 31, 55, 101, 225, 477, 271, 611, 3179, 7859, 9835, 2165}},
-{2518, 15, 5910, {1, 1, 3, 3, 5, 15, 81, 127, 391, 333, 419, 1091, 5997, 12315, 31521}},
-{2519, 15, 5916, {1, 3, 5, 15, 23, 7, 35, 109, 181, 295, 825, 419, 969, 15753, 9365}},
-{2520, 15, 5919, {1, 3, 5, 5, 25, 23, 69, 177, 325, 359, 1577, 619, 6233, 11753, 8103}},
-{2521, 15, 5935, {1, 3, 5, 11, 31, 13, 79, 61, 241, 1011, 1961, 949, 6211, 497, 7099}},
-{2522, 15, 5937, {1, 3, 5, 3, 25, 19, 67, 235, 337, 1015, 1485, 355, 3653, 12735, 14503}},
-{2523, 15, 5944, {1, 3, 5, 7, 31, 23, 35, 231, 147, 15, 263, 1995, 431, 5941, 18931}},
-{2524, 15, 5947, {1, 3, 3, 7, 1, 35, 37, 7, 85, 443, 715, 743, 2189, 12537, 17427}},
-{2525, 15, 5958, {1, 1, 3, 1, 7, 41, 1, 209, 121, 929, 661, 3999, 955, 5123, 31115}},
-{2526, 15, 5962, {1, 1, 3, 5, 11, 43, 127, 125, 107, 293, 273, 2071, 3003, 11631, 7769}},
-{2527, 15, 5969, {1, 1, 1, 13, 13, 29, 39, 217, 111, 779, 1287, 1675, 4201, 4869, 20403}},
-{2528, 15, 5981, {1, 1, 3, 15, 25, 53, 25, 135, 389, 925, 1971, 663, 7545, 2673, 7725}},
-{2529, 15, 5995, {1, 1, 5, 13, 3, 59, 97, 91, 357, 45, 947, 3031, 8095, 6269, 13975}},
-{2530, 15, 5998, {1, 1, 5, 15, 25, 31, 1, 171, 375, 939, 507, 3591, 1089, 13605, 2813}},
-{2531, 15, 6003, {1, 1, 3, 7, 25, 21, 41, 131, 147, 737, 9, 1603, 1859, 11573, 28397}},
-{2532, 15, 6010, {1, 3, 3, 9, 21, 9, 59, 27, 169, 875, 711, 1389, 2899, 7937, 4173}},
-{2533, 15, 6016, {1, 1, 5, 9, 13, 29, 71, 39, 51, 337, 1067, 2661, 1203, 5967, 19249}},
-{2534, 15, 6025, {1, 3, 7, 1, 17, 21, 43, 79, 181, 741, 1901, 3445, 7171, 2109, 1589}},
-{2535, 15, 6031, {1, 1, 3, 9, 23, 37, 105, 51, 227, 775, 1265, 2987, 2197, 13903, 28891}},
-{2536, 15, 6036, {1, 1, 1, 13, 23, 47, 111, 41, 93, 261, 75, 2155, 4301, 11517, 16101}},
-{2537, 15, 6039, {1, 1, 3, 3, 27, 27, 123, 125, 501, 775, 413, 1065, 7607, 15065, 26013}},
-{2538, 15, 6045, {1, 3, 7, 3, 27, 11, 59, 87, 207, 743, 1765, 2969, 913, 8101, 11583}},
-{2539, 15, 6049, {1, 3, 3, 1, 23, 7, 113, 17, 285, 993, 695, 2399, 5019, 4779, 28917}},
-{2540, 15, 6052, {1, 3, 1, 5, 11, 51, 49, 139, 213, 435, 1475, 2209, 6695, 12981, 9851}},
-{2541, 15, 6067, {1, 3, 5, 7, 1, 63, 31, 151, 173, 767, 1453, 1497, 6911, 9597, 25551}},
-{2542, 15, 6074, {1, 1, 7, 7, 21, 53, 39, 159, 389, 231, 309, 359, 7701, 14819, 5175}},
-{2543, 15, 6087, {1, 1, 1, 1, 11, 47, 83, 29, 247, 89, 369, 2727, 3103, 14421, 17369}},
-{2544, 15, 6101, {1, 3, 1, 5, 25, 25, 111, 245, 239, 755, 113, 1765, 3583, 917, 403}},
-{2545, 15, 6121, {1, 3, 3, 3, 5, 59, 85, 151, 463, 591, 743, 3767, 121, 2927, 11031}},
-{2546, 15, 6129, {1, 3, 5, 9, 11, 39, 77, 161, 275, 233, 1991, 2683, 6545, 2423, 32113}},
-{2547, 15, 6142, {1, 3, 5, 11, 5, 57, 13, 229, 329, 757, 1863, 3959, 4243, 7265, 15599}},
-{2548, 15, 6151, {1, 1, 1, 1, 1, 23, 19, 67, 453, 593, 2011, 1813, 4695, 8903, 9623}},
-{2549, 15, 6157, {1, 3, 3, 7, 1, 29, 103, 255, 493, 647, 1709, 4065, 4199, 949, 28829}},
-{2550, 15, 6166, {1, 1, 7, 9, 3, 55, 53, 33, 5, 223, 423, 3347, 7647, 7211, 25157}},
-{2551, 15, 6170, {1, 3, 5, 13, 3, 43, 79, 255, 471, 573, 1007, 2119, 6731, 10047, 23179}},
-{2552, 15, 6175, {1, 1, 1, 3, 7, 39, 55, 61, 53, 377, 435, 401, 3307, 12621, 14299}},
-{2553, 15, 6186, {1, 3, 3, 7, 21, 31, 67, 17, 243, 425, 747, 2995, 1389, 2557, 18415}},
-{2554, 15, 6203, {1, 3, 1, 3, 3, 39, 75, 11, 447, 249, 1135, 1011, 1657, 10767, 19501}},
-{2555, 15, 6217, {1, 3, 1, 11, 17, 51, 117, 129, 17, 143, 785, 103, 5049, 14703, 28479}},
-{2556, 15, 6231, {1, 3, 7, 5, 13, 17, 75, 255, 75, 661, 1175, 477, 1811, 1479, 15783}},
-{2557, 15, 6241, {1, 3, 7, 9, 11, 57, 101, 77, 431, 247, 997, 3657, 5117, 6815, 3841}},
-{2558, 15, 6242, {1, 1, 5, 1, 17, 21, 101, 183, 209, 69, 299, 1585, 6381, 12983, 10053}},
-{2559, 15, 6248, {1, 1, 7, 3, 5, 13, 21, 63, 83, 857, 749, 1251, 5363, 9629, 16563}},
-{2560, 15, 6256, {1, 3, 3, 9, 3, 59, 9, 45, 55, 489, 137, 2423, 2661, 12111, 4375}},
-{2561, 15, 6265, {1, 1, 5, 9, 23, 9, 41, 177, 447, 671, 1631, 3115, 4215, 14435, 8743}},
-{2562, 15, 6275, {1, 3, 7, 11, 19, 23, 15, 221, 413, 783, 1247, 2343, 4397, 3145, 32043}},
-{2563, 15, 6277, {1, 3, 3, 1, 31, 55, 31, 87, 333, 849, 1777, 343, 5199, 1507, 11621}},
-{2564, 15, 6302, {1, 3, 7, 3, 17, 57, 63, 63, 111, 977, 631, 3019, 2953, 14273, 29209}},
-{2565, 15, 6315, {1, 3, 1, 13, 9, 39, 87, 15, 397, 185, 701, 1487, 3807, 13727, 19883}},
-{2566, 15, 6318, {1, 3, 7, 1, 17, 57, 57, 157, 119, 181, 899, 353, 3603, 15041, 7421}},
-{2567, 15, 6330, {1, 1, 7, 3, 29, 13, 29, 191, 105, 373, 961, 1991, 5531, 6793, 29497}},
-{2568, 15, 6343, {1, 3, 3, 11, 7, 61, 65, 39, 215, 187, 191, 1651, 2481, 3951, 24965}},
-{2569, 15, 6347, {1, 1, 7, 5, 25, 11, 105, 23, 257, 771, 1359, 2837, 7821, 12223, 28033}},
-{2570, 15, 6350, {1, 3, 5, 11, 3, 3, 23, 139, 407, 885, 1679, 2979, 8149, 14281, 12487}},
-{2571, 15, 6352, {1, 3, 7, 3, 21, 45, 13, 85, 249, 1015, 2023, 1429, 965, 7091, 31721}},
-{2572, 15, 6371, {1, 1, 1, 13, 19, 5, 119, 47, 91, 285, 211, 2607, 4287, 9197, 455}},
-{2573, 15, 6383, {1, 3, 1, 1, 9, 59, 25, 137, 121, 287, 577, 3325, 2365, 8823, 5033}},
-{2574, 15, 6386, {1, 3, 3, 13, 25, 63, 99, 43, 15, 855, 245, 3189, 59, 5181, 21299}},
-{2575, 15, 6405, {1, 3, 5, 11, 7, 9, 41, 157, 359, 773, 1347, 2049, 4589, 13731, 32133}},
-{2576, 15, 6409, {1, 1, 7, 11, 31, 37, 83, 105, 183, 375, 79, 1821, 1989, 15199, 22207}},
-{2577, 15, 6410, {1, 1, 5, 3, 23, 37, 127, 9, 467, 651, 993, 69, 6943, 4093, 20871}},
-{2578, 15, 6433, {1, 1, 3, 15, 31, 49, 123, 149, 211, 371, 1825, 3011, 485, 1251, 17343}},
-{2579, 15, 6436, {1, 1, 1, 15, 11, 33, 127, 251, 89, 317, 1869, 219, 2275, 14201, 27063}},
-{2580, 15, 6439, {1, 1, 5, 5, 19, 5, 81, 35, 233, 95, 9, 863, 725, 11095, 16217}},
-{2581, 15, 6463, {1, 1, 1, 15, 23, 47, 51, 43, 169, 637, 865, 57, 1509, 1683, 7587}},
-{2582, 15, 6468, {1, 3, 1, 3, 7, 7, 117, 187, 273, 303, 717, 3091, 2083, 3315, 647}},
-{2583, 15, 6477, {1, 1, 5, 15, 13, 27, 23, 227, 145, 547, 1783, 987, 6895, 7135, 11023}},
-{2584, 15, 6496, {1, 1, 5, 11, 21, 39, 57, 203, 477, 17, 985, 1729, 4297, 7483, 13263}},
-{2585, 15, 6511, {1, 3, 7, 9, 3, 49, 71, 45, 143, 967, 39, 583, 2123, 5165, 17437}},
-{2586, 15, 6516, {1, 1, 1, 9, 21, 51, 71, 163, 441, 709, 397, 445, 6167, 7753, 11513}},
-{2587, 15, 6519, {1, 1, 7, 7, 27, 35, 5, 181, 449, 53, 621, 3401, 5263, 4557, 9141}},
-{2588, 15, 6523, {1, 1, 5, 7, 7, 37, 83, 111, 485, 881, 465, 3371, 5603, 371, 29393}},
-{2589, 15, 6530, {1, 3, 1, 15, 7, 47, 41, 245, 377, 823, 309, 3929, 2159, 13917, 13365}},
-{2590, 15, 6539, {1, 3, 7, 7, 7, 29, 25, 141, 19, 611, 79, 2689, 109, 12321, 8345}},
-{2591, 15, 6547, {1, 1, 1, 13, 3, 53, 113, 151, 381, 791, 137, 3185, 3567, 211, 597}},
-{2592, 15, 6589, {1, 1, 3, 9, 7, 53, 87, 89, 491, 861, 467, 3763, 2025, 4187, 9637}},
-{2593, 15, 6592, {1, 1, 7, 1, 27, 33, 71, 41, 63, 1011, 741, 1135, 175, 3739, 21493}},
-{2594, 15, 6601, {1, 3, 3, 5, 9, 19, 55, 175, 325, 55, 1193, 1423, 2049, 9633, 17515}},
-{2595, 15, 6610, {1, 1, 3, 1, 27, 55, 69, 103, 401, 707, 825, 399, 6799, 13199, 6295}},
-{2596, 15, 6616, {1, 3, 7, 3, 19, 63, 25, 151, 17, 159, 1673, 615, 6317, 13261, 26267}},
-{2597, 15, 6619, {1, 3, 7, 9, 27, 1, 77, 129, 423, 647, 707, 2579, 3525, 6723, 31615}},
-{2598, 15, 6626, {1, 3, 3, 7, 7, 31, 35, 241, 309, 369, 895, 3683, 4795, 11319, 451}},
-{2599, 15, 6635, {1, 3, 5, 7, 17, 7, 117, 141, 267, 713, 569, 1915, 4369, 7793, 30853}},
-{2600, 15, 6637, {1, 3, 7, 1, 29, 61, 81, 73, 413, 13, 1977, 3229, 5853, 8451, 15539}},
-{2601, 15, 6638, {1, 3, 7, 1, 5, 45, 109, 21, 431, 487, 2019, 2647, 927, 16015, 10711}},
-{2602, 15, 6652, {1, 3, 1, 3, 11, 19, 37, 183, 451, 377, 269, 3993, 3229, 4899, 26561}},
-{2603, 15, 6656, {1, 3, 1, 11, 5, 19, 121, 55, 57, 117, 687, 83, 3047, 1367, 17595}},
-{2604, 15, 6662, {1, 3, 1, 7, 17, 31, 41, 219, 239, 963, 199, 2895, 5599, 7639, 17201}},
-{2605, 15, 6689, {1, 3, 3, 5, 27, 53, 71, 183, 509, 771, 1809, 1539, 2229, 4893, 17115}},
-{2606, 15, 6699, {1, 1, 3, 9, 9, 9, 13, 49, 265, 643, 1929, 859, 497, 9797, 27771}},
-{2607, 15, 6710, {1, 3, 7, 11, 19, 39, 115, 139, 207, 903, 963, 1849, 4403, 6229, 10021}},
-{2608, 15, 6714, {1, 3, 7, 13, 3, 57, 99, 223, 503, 423, 1755, 807, 1885, 213, 18723}},
-{2609, 15, 6719, {1, 3, 7, 15, 11, 15, 111, 193, 243, 599, 593, 3385, 5393, 15073, 17777}},
-{2610, 15, 6739, {1, 1, 5, 3, 19, 63, 121, 207, 99, 435, 1961, 2747, 6405, 3971, 23481}},
-{2611, 15, 6751, {1, 3, 5, 13, 9, 29, 79, 131, 415, 49, 229, 1003, 3263, 12975, 15987}},
-{2612, 15, 6775, {1, 1, 3, 7, 1, 41, 127, 155, 29, 73, 963, 659, 2741, 3465, 2595}},
-{2613, 15, 6779, {1, 1, 3, 5, 23, 23, 93, 233, 113, 521, 427, 1557, 6917, 12953, 22441}},
-{2614, 15, 6788, {1, 1, 5, 13, 5, 25, 85, 191, 387, 69, 955, 243, 4473, 9813, 21711}},
-{2615, 15, 6798, {1, 3, 3, 7, 1, 53, 95, 65, 231, 995, 539, 2103, 5513, 14087, 28655}},
-{2616, 15, 6815, {1, 3, 5, 3, 17, 13, 19, 227, 197, 91, 1437, 1121, 3307, 6903, 3297}},
-{2617, 15, 6819, {1, 1, 5, 11, 31, 29, 109, 171, 257, 783, 861, 9, 4895, 1859, 10909}},
-{2618, 15, 6825, {1, 1, 7, 13, 5, 47, 61, 5, 363, 351, 1525, 823, 2883, 12435, 17629}},
-{2619, 15, 6826, {1, 1, 5, 11, 9, 3, 69, 159, 371, 477, 1223, 1973, 2757, 413, 31223}},
-{2620, 15, 6836, {1, 1, 3, 5, 23, 45, 43, 195, 423, 829, 1673, 1563, 6633, 14775, 21097}},
-{2621, 15, 6843, {1, 1, 3, 3, 13, 9, 107, 209, 49, 609, 1047, 3691, 7483, 4269, 7557}},
-{2622, 15, 6845, {1, 1, 3, 15, 3, 43, 73, 161, 53, 813, 325, 3439, 7009, 8691, 11711}},
-{2623, 15, 6858, {1, 1, 3, 3, 23, 45, 99, 61, 407, 15, 1515, 1557, 953, 8567, 13729}},
-{2624, 15, 6868, {1, 1, 5, 9, 31, 35, 117, 57, 227, 923, 1373, 1811, 3405, 11979, 10149}},
-{2625, 15, 6877, {1, 1, 3, 9, 15, 53, 105, 209, 153, 67, 1477, 667, 3077, 4911, 3871}},
-{2626, 15, 6881, {1, 1, 3, 3, 21, 53, 93, 101, 183, 1023, 3, 3041, 5815, 9043, 5801}},
-{2627, 15, 6891, {1, 3, 3, 5, 17, 49, 127, 161, 321, 869, 1369, 923, 3235, 711, 30007}},
-{2628, 15, 6896, {1, 1, 3, 3, 15, 17, 97, 229, 389, 159, 1075, 2001, 7905, 15191, 14693}},
-{2629, 15, 6899, {1, 1, 5, 11, 5, 5, 121, 173, 95, 173, 1883, 3915, 1439, 9981, 24375}},
-{2630, 15, 6901, {1, 3, 3, 1, 31, 53, 29, 189, 37, 623, 217, 949, 3959, 7189, 25427}},
-{2631, 15, 6908, {1, 3, 5, 9, 21, 45, 101, 23, 355, 729, 797, 2317, 2931, 7433, 29175}},
-{2632, 15, 6914, {1, 3, 7, 1, 1, 63, 63, 155, 237, 865, 1169, 43, 7335, 6445, 7979}},
-{2633, 15, 6916, {1, 3, 7, 7, 11, 51, 37, 199, 503, 991, 319, 3013, 7885, 12837, 32419}},
-{2634, 15, 6923, {1, 3, 7, 7, 27, 31, 101, 243, 37, 811, 1909, 109, 6455, 7903, 11821}},
-{2635, 15, 6925, {1, 1, 3, 13, 23, 21, 89, 99, 243, 605, 1017, 1871, 1101, 12825, 8227}},
-{2636, 15, 6928, {1, 3, 3, 13, 19, 3, 51, 59, 501, 605, 385, 2189, 3229, 7981, 31407}},
-{2637, 15, 6931, {1, 1, 1, 1, 25, 11, 127, 215, 295, 237, 1245, 3657, 7803, 3897, 655}},
-{2638, 15, 6934, {1, 1, 7, 7, 5, 9, 63, 129, 143, 417, 795, 3409, 2847, 5887, 3093}},
-{2639, 15, 6937, {1, 3, 3, 13, 7, 57, 67, 57, 5, 847, 1185, 3349, 4841, 11457, 8857}},
-{2640, 15, 6938, {1, 1, 3, 3, 9, 53, 51, 43, 85, 437, 13, 2543, 3651, 15493, 767}},
-{2641, 15, 6949, {1, 1, 7, 9, 1, 49, 97, 115, 133, 1011, 1399, 2653, 7765, 13999, 12097}},
-{2642, 15, 6956, {1, 1, 5, 1, 3, 27, 123, 107, 389, 401, 1759, 1333, 1371, 5277, 14865}},
-{2643, 15, 6973, {1, 1, 5, 1, 13, 23, 3, 123, 137, 821, 399, 1671, 3095, 3121, 31387}},
-{2644, 15, 6976, {1, 1, 5, 3, 7, 35, 57, 237, 509, 753, 1783, 2815, 6495, 13283, 7091}},
-{2645, 15, 6981, {1, 1, 7, 11, 5, 37, 77, 109, 7, 969, 1087, 3705, 1695, 14223, 28959}},
-{2646, 15, 6988, {1, 3, 1, 11, 25, 5, 25, 163, 179, 185, 671, 1031, 4537, 11601, 9323}},
-{2647, 15, 6999, {1, 1, 3, 7, 17, 25, 49, 221, 183, 619, 1953, 343, 4523, 14883, 6833}},
-{2648, 15, 7016, {1, 3, 7, 5, 27, 19, 59, 153, 11, 807, 513, 3019, 6875, 5307, 8405}},
-{2649, 15, 7027, {1, 1, 1, 13, 25, 41, 21, 109, 321, 135, 497, 1235, 5177, 5167, 18609}},
-{2650, 15, 7029, {1, 1, 7, 5, 21, 53, 25, 197, 411, 503, 1009, 1921, 4305, 2633, 31415}},
-{2651, 15, 7055, {1, 3, 5, 1, 25, 45, 27, 227, 271, 903, 639, 3805, 657, 8683, 29585}},
-{2652, 15, 7058, {1, 1, 5, 3, 9, 49, 37, 35, 351, 491, 851, 2983, 31, 5619, 6919}},
-{2653, 15, 7074, {1, 1, 5, 3, 11, 49, 33, 153, 393, 1017, 1561, 2795, 4435, 12589, 22349}},
-{2654, 15, 7083, {1, 1, 1, 15, 17, 29, 49, 245, 217, 359, 1133, 393, 3317, 415, 16407}},
-{2655, 15, 7093, {1, 1, 3, 5, 3, 9, 95, 63, 319, 319, 1009, 19, 6453, 16279, 6975}},
-{2656, 15, 7100, {1, 1, 5, 9, 3, 25, 67, 95, 369, 237, 285, 2409, 671, 5143, 121}},
-{2657, 15, 7105, {1, 1, 3, 1, 9, 49, 35, 87, 317, 185, 445, 2263, 7923, 10183, 26615}},
-{2658, 15, 7112, {1, 3, 3, 11, 9, 59, 29, 135, 129, 477, 353, 3571, 1057, 16329, 23523}},
-{2659, 15, 7118, {1, 1, 1, 15, 13, 11, 19, 5, 133, 827, 1799, 1893, 1939, 1101, 12147}},
-{2660, 15, 7120, {1, 1, 3, 3, 15, 49, 33, 185, 511, 1013, 41, 3499, 6235, 7643, 16725}},
-{2661, 15, 7129, {1, 1, 5, 11, 27, 45, 89, 157, 63, 137, 2047, 1275, 4995, 625, 6111}},
-{2662, 15, 7166, {1, 3, 7, 11, 3, 1, 121, 1, 341, 33, 1895, 3033, 3929, 10257, 21037}},
-{2663, 15, 7207, {1, 3, 3, 11, 7, 11, 117, 5, 115, 287, 335, 3415, 5397, 15065, 19121}},
-{2664, 15, 7216, {1, 3, 3, 13, 21, 25, 15, 125, 277, 125, 801, 3761, 2623, 11333, 16867}},
-{2665, 15, 7226, {1, 3, 5, 11, 19, 33, 21, 71, 499, 747, 1515, 185, 1759, 14623, 895}},
-{2666, 15, 7234, {1, 3, 7, 1, 29, 35, 9, 203, 277, 299, 1509, 2017, 2897, 14175, 1643}},
-{2667, 15, 7236, {1, 3, 5, 11, 7, 47, 111, 197, 459, 941, 1619, 2119, 2191, 11049, 6811}},
-{2668, 15, 7246, {1, 1, 5, 9, 7, 43, 103, 115, 87, 269, 1235, 77, 5887, 1611, 29041}},
-{2669, 15, 7248, {1, 1, 5, 7, 1, 61, 83, 225, 179, 81, 1145, 2403, 1485, 8967, 20607}},
-{2670, 15, 7254, {1, 3, 3, 1, 25, 47, 27, 157, 359, 803, 1683, 1995, 6445, 13113, 17899}},
-{2671, 15, 7263, {1, 3, 1, 7, 21, 37, 43, 119, 245, 49, 1581, 2275, 3311, 4087, 29765}},
-{2672, 15, 7273, {1, 1, 3, 13, 5, 33, 49, 191, 455, 105, 665, 3855, 3207, 2671, 32203}},
-{2673, 15, 7274, {1, 3, 1, 1, 25, 63, 19, 217, 17, 353, 947, 1951, 4097, 9041, 11921}},
-{2674, 15, 7293, {1, 3, 1, 7, 21, 31, 113, 97, 347, 993, 1799, 3831, 3711, 6193, 1235}},
-{2675, 15, 7297, {1, 1, 1, 5, 3, 63, 11, 203, 425, 445, 1361, 531, 1265, 1755, 11685}},
-{2676, 15, 7310, {1, 3, 1, 7, 13, 29, 23, 85, 57, 467, 1835, 133, 7961, 4175, 2445}},
-{2677, 15, 7315, {1, 1, 1, 15, 23, 27, 37, 5, 123, 913, 1293, 1633, 3113, 5413, 26407}},
-{2678, 15, 7317, {1, 1, 5, 13, 27, 1, 121, 151, 303, 931, 375, 3679, 1863, 12301, 30907}},
-{2679, 15, 7331, {1, 3, 1, 9, 31, 9, 49, 203, 177, 937, 1503, 933, 5867, 12533, 13621}},
-{2680, 15, 7338, {1, 3, 3, 15, 1, 41, 23, 191, 191, 931, 837, 3553, 2611, 4735, 18105}},
-{2681, 15, 7340, {1, 1, 5, 7, 27, 49, 51, 111, 435, 195, 1229, 711, 7145, 14571, 31707}},
-{2682, 15, 7346, {1, 1, 7, 7, 3, 41, 59, 203, 291, 903, 1727, 2757, 1463, 6287, 31535}},
-{2683, 15, 7355, {1, 1, 7, 13, 23, 5, 75, 3, 207, 525, 411, 2133, 2231, 477, 7155}},
-{2684, 15, 7366, {1, 3, 5, 7, 13, 19, 111, 225, 489, 83, 1177, 4077, 4617, 14413, 7133}},
-{2685, 15, 7383, {1, 3, 1, 7, 9, 59, 3, 113, 379, 803, 1289, 3347, 4127, 6669, 14867}},
-{2686, 15, 7389, {1, 3, 7, 3, 31, 37, 87, 79, 399, 749, 995, 1611, 3137, 12543, 31955}},
-{2687, 15, 7393, {1, 1, 5, 7, 21, 59, 49, 45, 511, 639, 1033, 2169, 3265, 15001, 10745}},
-{2688, 15, 7396, {1, 1, 5, 1, 25, 19, 23, 203, 11, 883, 1031, 4087, 5059, 11321, 21675}},
-{2689, 15, 7400, {1, 3, 7, 5, 11, 27, 33, 205, 163, 289, 501, 3505, 1515, 1895, 15889}},
-{2690, 15, 7414, {1, 3, 1, 1, 23, 7, 39, 239, 29, 119, 1499, 2071, 6495, 12107, 5339}},
-{2691, 15, 7417, {1, 3, 1, 1, 23, 29, 55, 181, 327, 905, 427, 1033, 427, 3687, 5367}},
-{2692, 15, 7426, {1, 3, 3, 7, 21, 27, 115, 127, 393, 855, 1291, 2121, 381, 9995, 29757}},
-{2693, 15, 7432, {1, 3, 5, 1, 25, 13, 15, 183, 269, 1005, 1531, 3451, 3975, 9479, 23695}},
-{2694, 15, 7452, {1, 3, 7, 7, 19, 31, 111, 97, 33, 179, 1343, 2069, 977, 5043, 9129}},
-{2695, 15, 7468, {1, 3, 1, 5, 17, 57, 99, 129, 379, 829, 837, 1845, 3613, 7351, 19291}},
-{2696, 15, 7488, {1, 3, 3, 5, 31, 23, 119, 229, 135, 389, 9, 705, 6697, 15441, 5303}},
-{2697, 15, 7491, {1, 1, 1, 11, 25, 31, 105, 95, 5, 931, 789, 375, 7543, 9957, 28627}},
-{2698, 15, 7494, {1, 1, 7, 15, 21, 17, 19, 103, 389, 545, 1725, 2867, 4251, 3829, 6907}},
-{2699, 15, 7497, {1, 3, 7, 7, 15, 37, 97, 65, 337, 409, 1649, 2869, 7929, 8905, 21989}},
-{2700, 15, 7515, {1, 3, 5, 3, 11, 15, 69, 29, 353, 207, 233, 411, 2047, 10303, 31655}},
-{2701, 15, 7531, {1, 3, 3, 7, 27, 43, 125, 107, 69, 981, 215, 1955, 3589, 597, 12703}},
-{2702, 15, 7552, {1, 1, 7, 9, 25, 13, 109, 73, 227, 663, 1115, 285, 471, 3359, 15787}},
-{2703, 15, 7562, {1, 3, 7, 5, 1, 45, 7, 79, 441, 149, 701, 1457, 6595, 14829, 20865}},
-{2704, 15, 7564, {1, 3, 7, 15, 15, 47, 83, 239, 295, 23, 1085, 813, 1209, 3573, 2855}},
-{2705, 15, 7569, {1, 1, 3, 15, 13, 7, 59, 67, 255, 537, 1841, 3857, 6821, 15175, 13997}},
-{2706, 15, 7582, {1, 3, 1, 1, 9, 57, 59, 21, 21, 41, 1693, 2805, 7953, 1389, 14105}},
-{2707, 15, 7585, {1, 3, 5, 15, 19, 49, 107, 117, 99, 607, 145, 53, 1863, 9383, 12029}},
-{2708, 15, 7588, {1, 3, 3, 13, 1, 39, 5, 141, 503, 265, 281, 1785, 2673, 6597, 6333}},
-{2709, 15, 7592, {1, 1, 5, 3, 3, 19, 3, 181, 169, 269, 955, 2399, 3157, 11053, 8563}},
-{2710, 15, 7597, {1, 3, 3, 13, 11, 1, 95, 43, 179, 507, 443, 209, 3239, 14239, 21829}},
-{2711, 15, 7603, {1, 1, 7, 9, 3, 17, 99, 179, 445, 479, 1897, 1507, 5753, 4757, 2135}},
-{2712, 15, 7610, {1, 3, 3, 1, 9, 51, 29, 13, 295, 291, 927, 85, 5707, 7447, 32319}},
-{2713, 15, 7624, {1, 1, 1, 3, 13, 11, 21, 157, 213, 327, 1071, 591, 2639, 15405, 6617}},
-{2714, 15, 7642, {1, 3, 5, 1, 7, 25, 55, 47, 495, 681, 727, 2707, 2955, 705, 7489}},
-{2715, 15, 7647, {1, 1, 3, 9, 17, 3, 73, 67, 465, 367, 1473, 3195, 7825, 5299, 1817}},
-{2716, 15, 7653, {1, 1, 1, 1, 19, 31, 77, 253, 71, 599, 1601, 871, 2243, 6699, 13013}},
-{2717, 15, 7654, {1, 1, 7, 9, 21, 1, 71, 115, 5, 65, 767, 925, 7901, 10761, 19431}},
-{2718, 15, 7666, {1, 3, 1, 7, 23, 31, 31, 15, 105, 391, 585, 2995, 2635, 10607, 24951}},
-{2719, 15, 7668, {1, 3, 3, 1, 19, 25, 71, 211, 41, 197, 787, 225, 6781, 813, 10117}},
-{2720, 15, 7684, {1, 3, 3, 3, 17, 29, 3, 153, 231, 643, 1151, 447, 3699, 9625, 26677}},
-{2721, 15, 7705, {1, 1, 5, 9, 1, 25, 71, 21, 395, 297, 557, 3841, 233, 1877, 4569}},
-{2722, 15, 7732, {1, 1, 3, 13, 1, 45, 115, 61, 5, 937, 173, 2109, 2927, 9599, 9155}},
-{2723, 15, 7741, {1, 1, 3, 3, 15, 21, 61, 121, 253, 285, 1083, 3545, 5537, 6773, 2629}},
-{2724, 15, 7749, {1, 3, 3, 15, 13, 63, 33, 77, 49, 849, 1795, 2771, 5481, 9833, 603}},
-{2725, 15, 7750, {1, 1, 7, 5, 1, 39, 113, 237, 225, 1005, 1687, 2297, 3213, 2605, 14669}},
-{2726, 15, 7759, {1, 1, 3, 1, 11, 1, 39, 23, 67, 441, 1235, 2545, 3139, 15901, 29243}},
-{2727, 15, 7764, {1, 3, 1, 3, 15, 49, 39, 57, 311, 345, 525, 223, 4923, 6311, 25275}},
-{2728, 15, 7777, {1, 1, 5, 7, 9, 13, 69, 11, 349, 423, 1773, 1055, 1001, 9359, 17025}},
-{2729, 15, 7790, {1, 1, 1, 13, 15, 63, 89, 207, 335, 591, 1223, 2701, 55, 12471, 13127}},
-{2730, 15, 7817, {1, 1, 3, 5, 15, 19, 83, 67, 407, 113, 1961, 779, 5803, 12417, 21751}},
-{2731, 15, 7826, {1, 3, 3, 1, 21, 53, 81, 95, 405, 427, 1047, 2443, 4153, 5843, 22511}},
-{2732, 15, 7831, {1, 1, 7, 7, 7, 25, 115, 155, 453, 537, 741, 2379, 2343, 16035, 19587}},
-{2733, 15, 7859, {1, 3, 3, 11, 27, 21, 111, 121, 503, 437, 803, 3399, 5303, 10163, 18199}},
-{2734, 15, 7871, {1, 1, 5, 13, 19, 27, 7, 81, 259, 545, 965, 743, 4533, 8813, 21253}},
-{2735, 15, 7873, {1, 1, 5, 5, 1, 59, 37, 11, 105, 343, 75, 1319, 6317, 9593, 1699}},
-{2736, 15, 7876, {1, 3, 1, 9, 13, 9, 115, 131, 387, 1023, 253, 693, 5191, 12777, 10565}},
-{2737, 15, 7900, {1, 3, 1, 15, 7, 35, 111, 195, 287, 305, 533, 1901, 3363, 10085, 30791}},
-{2738, 15, 7904, {1, 1, 3, 9, 27, 51, 21, 77, 413, 925, 717, 791, 4147, 585, 5649}},
-{2739, 15, 7913, {1, 3, 3, 5, 25, 59, 79, 249, 185, 567, 71, 1997, 7373, 2327, 18637}},
-{2740, 15, 7916, {1, 3, 3, 11, 15, 21, 97, 99, 391, 57, 1973, 29, 7451, 2529, 25737}},
-{2741, 15, 7922, {1, 3, 7, 5, 7, 59, 93, 5, 287, 469, 1639, 3637, 5465, 14431, 32265}},
-{2742, 15, 7946, {1, 1, 3, 11, 3, 1, 71, 75, 427, 299, 811, 3697, 3529, 5433, 26957}},
-{2743, 15, 7953, {1, 3, 1, 9, 19, 59, 37, 255, 165, 1005, 19, 2851, 4309, 455, 9485}},
-{2744, 15, 7956, {1, 1, 1, 5, 1, 55, 15, 233, 133, 47, 1831, 713, 2601, 1017, 3201}},
-{2745, 15, 7963, {1, 1, 5, 5, 21, 55, 127, 69, 377, 41, 25, 2295, 7595, 4733, 11615}},
-{2746, 15, 7979, {1, 1, 5, 3, 23, 5, 7, 181, 161, 775, 1095, 2271, 6637, 14489, 6873}},
-{2747, 15, 7981, {1, 3, 5, 9, 9, 15, 5, 133, 357, 21, 127, 2685, 6299, 4363, 17573}},
-{2748, 15, 7984, {1, 3, 3, 9, 13, 39, 51, 223, 201, 401, 1839, 2461, 7633, 6039, 10445}},
-{2749, 15, 7989, {1, 1, 5, 1, 9, 21, 19, 249, 227, 359, 255, 2895, 4117, 2073, 27687}},
-{2750, 15, 7999, {1, 1, 5, 15, 5, 61, 113, 161, 95, 3, 877, 2775, 293, 6655, 4023}},
-{2751, 15, 8001, {1, 3, 7, 1, 7, 55, 73, 39, 295, 403, 985, 2315, 1667, 13525, 1453}},
-{2752, 15, 8021, {1, 1, 5, 1, 27, 1, 85, 195, 11, 713, 1841, 3895, 3131, 2193, 17607}},
-{2753, 15, 8056, {1, 3, 5, 13, 25, 1, 119, 97, 239, 167, 1393, 1753, 6989, 12155, 12509}},
-{2754, 15, 8080, {1, 1, 7, 15, 31, 21, 41, 255, 425, 445, 165, 2097, 5627, 4971, 13207}},
-{2755, 15, 8083, {1, 1, 1, 15, 13, 33, 81, 105, 453, 197, 13, 1547, 7381, 8709, 15103}},
-{2756, 15, 8089, {1, 1, 3, 11, 11, 33, 107, 123, 483, 367, 121, 995, 1911, 8205, 22577}},
-{2757, 15, 8090, {1, 1, 1, 9, 9, 43, 71, 49, 273, 431, 1705, 3313, 4259, 16291, 14345}},
-{2758, 15, 8114, {1, 1, 1, 7, 3, 1, 43, 213, 97, 547, 1559, 1149, 2791, 3751, 887}},
-{2759, 15, 8128, {1, 1, 3, 15, 25, 47, 49, 251, 425, 35, 295, 3767, 6305, 9633, 5045}},
-{2760, 15, 8133, {1, 3, 3, 1, 5, 55, 91, 245, 27, 981, 331, 555, 6553, 11017, 15289}},
-{2761, 15, 8145, {1, 1, 3, 7, 1, 23, 23, 155, 223, 565, 1005, 3211, 3847, 7479, 3643}},
-{2762, 15, 8155, {1, 1, 5, 1, 17, 7, 47, 95, 35, 779, 1685, 2099, 7505, 15425, 18089}},
-{2763, 15, 8161, {1, 3, 3, 7, 3, 63, 83, 151, 211, 147, 611, 1171, 1681, 7687, 13423}},
-{2764, 15, 8182, {1, 3, 3, 1, 3, 27, 107, 117, 497, 537, 195, 3075, 2753, 1665, 19399}},
-{2765, 15, 8186, {1, 1, 1, 7, 23, 5, 103, 209, 117, 845, 1243, 1283, 4253, 9723, 20937}},
-{2766, 15, 8191, {1, 3, 1, 1, 5, 49, 7, 13, 419, 125, 287, 1599, 8161, 1275, 24661}},
-{2767, 15, 8192, {1, 3, 3, 3, 13, 63, 23, 183, 39, 979, 1301, 2349, 905, 15805, 30151}},
-{2768, 15, 8195, {1, 1, 3, 9, 17, 11, 97, 189, 189, 511, 1779, 2077, 6891, 11623, 23949}},
-{2769, 15, 8201, {1, 1, 7, 11, 13, 45, 15, 37, 11, 853, 915, 1569, 6103, 10633, 3137}},
-{2770, 15, 8207, {1, 3, 3, 5, 15, 61, 91, 255, 131, 821, 1755, 1501, 2663, 1747, 941}},
-{2771, 15, 8210, {1, 1, 3, 7, 19, 19, 65, 95, 499, 239, 2023, 3185, 4649, 3861, 3767}},
-{2772, 15, 8228, {1, 3, 5, 15, 15, 63, 55, 93, 127, 303, 171, 1763, 4991, 9479, 9917}},
-{2773, 15, 8249, {1, 3, 7, 5, 31, 53, 111, 35, 433, 163, 1903, 3991, 3585, 643, 21941}},
-{2774, 15, 8252, {1, 3, 1, 9, 27, 39, 67, 89, 487, 349, 587, 1723, 4311, 11321, 25785}},
-{2775, 15, 8258, {1, 3, 5, 7, 1, 63, 23, 237, 507, 689, 1341, 441, 1721, 843, 20335}},
-{2776, 15, 8267, {1, 1, 3, 3, 31, 63, 83, 103, 25, 799, 1379, 1817, 3809, 12285, 16673}},
-{2777, 15, 8270, {1, 1, 5, 3, 25, 29, 99, 193, 21, 549, 33, 3109, 4135, 10071, 32355}},
-{2778, 15, 8275, {1, 3, 1, 7, 13, 27, 83, 189, 121, 167, 379, 1503, 7955, 13189, 313}},
-{2779, 15, 8284, {1, 3, 5, 15, 25, 19, 83, 87, 257, 237, 709, 1169, 1561, 7117, 4785}},
-{2780, 15, 8293, {1, 1, 1, 7, 9, 55, 21, 5, 439, 367, 403, 2311, 6243, 8349, 13127}},
-{2781, 15, 8298, {1, 3, 7, 3, 5, 35, 51, 67, 453, 767, 29, 3293, 6665, 11459, 2799}},
-{2782, 15, 8305, {1, 3, 3, 3, 5, 19, 59, 7, 367, 683, 783, 1317, 7119, 6129, 19525}},
-{2783, 15, 8317, {1, 1, 5, 5, 5, 19, 61, 67, 381, 291, 875, 2179, 2481, 9325, 11253}},
-{2784, 15, 8328, {1, 3, 5, 5, 7, 47, 107, 9, 141, 667, 1989, 821, 3909, 1733, 10187}},
-{2785, 15, 8336, {1, 1, 7, 7, 31, 61, 1, 71, 477, 689, 1539, 3617, 8105, 6535, 3293}},
-{2786, 15, 8345, {1, 1, 5, 5, 23, 9, 103, 197, 241, 249, 297, 3607, 6217, 1673, 30103}},
-{2787, 15, 8351, {1, 3, 1, 5, 23, 15, 115, 105, 365, 51, 825, 2687, 359, 16325, 15083}},
-{2788, 15, 8367, {1, 1, 3, 11, 29, 45, 65, 251, 169, 189, 1243, 2345, 1345, 14471, 25631}},
-{2789, 15, 8379, {1, 1, 5, 9, 7, 63, 81, 167, 309, 539, 1169, 3949, 4193, 12047, 1491}},
-{2790, 15, 8381, {1, 3, 1, 9, 29, 33, 89, 167, 67, 73, 1885, 477, 5745, 13365, 6819}},
-{2791, 15, 8382, {1, 3, 7, 9, 9, 49, 95, 13, 157, 997, 1725, 935, 7543, 6349, 18277}},
-{2792, 15, 8393, {1, 1, 5, 5, 11, 59, 97, 17, 303, 469, 93, 2761, 7395, 9021, 24299}},
-{2793, 15, 8402, {1, 1, 7, 3, 27, 63, 71, 99, 407, 139, 711, 2589, 4715, 5405, 3277}},
-{2794, 15, 8414, {1, 3, 7, 3, 11, 15, 49, 57, 271, 493, 1165, 2839, 8191, 2609, 14759}},
-{2795, 15, 8417, {1, 1, 1, 7, 21, 15, 71, 245, 413, 473, 1321, 1165, 1027, 6983, 12867}},
-{2796, 15, 8420, {1, 1, 5, 3, 15, 21, 19, 197, 401, 627, 2047, 2761, 5807, 5751, 28025}},
-{2797, 15, 8429, {1, 1, 3, 3, 5, 57, 19, 209, 341, 165, 489, 455, 231, 14385, 12457}},
-{2798, 15, 8435, {1, 3, 3, 11, 13, 63, 79, 129, 17, 315, 1881, 1069, 177, 12013, 29567}},
-{2799, 15, 8438, {1, 1, 3, 7, 31, 29, 51, 235, 475, 375, 617, 437, 6379, 8505, 23079}},
-{2800, 15, 8450, {1, 1, 3, 7, 27, 3, 3, 137, 203, 959, 363, 371, 2899, 13491, 22979}},
-{2801, 15, 8452, {1, 3, 3, 3, 9, 1, 57, 7, 363, 537, 713, 2417, 509, 7747, 22135}},
-{2802, 15, 8459, {1, 3, 3, 3, 13, 21, 79, 121, 487, 921, 113, 281, 2853, 14855, 19747}},
-{2803, 15, 8470, {1, 1, 1, 11, 3, 53, 89, 123, 307, 585, 567, 1925, 505, 15935, 20419}},
-{2804, 15, 8486, {1, 1, 3, 3, 15, 45, 77, 197, 499, 683, 1405, 3573, 981, 14135, 19763}},
-{2805, 15, 8490, {1, 1, 1, 11, 27, 31, 61, 191, 29, 601, 373, 2011, 6193, 3599, 4387}},
-{2806, 15, 8500, {1, 3, 5, 9, 7, 13, 1, 193, 469, 603, 1315, 3329, 3761, 8355, 10425}},
-{2807, 15, 8524, {1, 1, 3, 9, 29, 61, 103, 17, 117, 251, 2029, 2963, 3763, 16117, 6627}},
-{2808, 15, 8536, {1, 3, 1, 3, 7, 51, 91, 145, 497, 657, 871, 3707, 5905, 10449, 14901}},
-{2809, 15, 8552, {1, 1, 3, 1, 3, 53, 23, 149, 461, 333, 1809, 1315, 1815, 8223, 13297}},
-{2810, 15, 8558, {1, 1, 1, 7, 15, 31, 3, 47, 443, 829, 1305, 893, 4191, 9681, 32661}},
-{2811, 15, 8570, {1, 3, 1, 3, 27, 43, 51, 221, 295, 825, 649, 2953, 6203, 8237, 20253}},
-{2812, 15, 8576, {1, 3, 1, 3, 9, 35, 41, 195, 249, 225, 387, 3789, 1499, 2559, 28413}},
-{2813, 15, 8582, {1, 1, 5, 15, 19, 29, 13, 115, 333, 787, 787, 723, 2987, 6227, 10865}},
-{2814, 15, 8594, {1, 3, 5, 13, 5, 59, 5, 251, 79, 387, 11, 3167, 6619, 13317, 18979}},
-{2815, 15, 8606, {1, 1, 7, 11, 31, 51, 43, 1, 189, 519, 1945, 2129, 4365, 14059, 3139}},
-{2816, 15, 8619, {1, 1, 7, 5, 31, 9, 43, 19, 151, 533, 1061, 3849, 6871, 6941, 14935}},
-{2817, 15, 8621, {1, 3, 7, 5, 19, 57, 7, 129, 25, 353, 17, 1739, 6513, 399, 28835}},
-{2818, 15, 8624, {1, 3, 5, 15, 25, 15, 37, 125, 39, 239, 271, 65, 2189, 10449, 11815}},
-{2819, 15, 8633, {1, 3, 7, 15, 19, 57, 47, 245, 509, 945, 385, 3987, 3585, 14711, 9655}},
-{2820, 15, 8641, {1, 1, 3, 13, 21, 31, 13, 81, 9, 489, 1321, 63, 1363, 2219, 19541}},
-{2821, 15, 8653, {1, 1, 5, 7, 3, 57, 25, 147, 23, 553, 889, 307, 6429, 15807, 12861}},
-{2822, 15, 8654, {1, 1, 3, 15, 29, 21, 99, 237, 151, 881, 675, 3625, 1159, 11759, 21347}},
-{2823, 15, 8662, {1, 1, 7, 1, 9, 13, 111, 239, 235, 609, 1569, 3271, 2837, 13807, 7301}},
-{2824, 15, 8675, {1, 3, 1, 15, 7, 59, 27, 81, 129, 9, 647, 3595, 1877, 1067, 1859}},
-{2825, 15, 8689, {1, 3, 7, 1, 3, 25, 119, 57, 145, 441, 1045, 789, 215, 1265, 9369}},
-{2826, 15, 8695, {1, 3, 7, 3, 17, 25, 87, 211, 441, 229, 223, 2795, 7241, 7007, 20575}},
-{2827, 15, 8702, {1, 1, 3, 1, 13, 1, 55, 227, 389, 141, 1097, 2487, 7603, 4161, 5025}},
-{2828, 15, 8706, {1, 1, 3, 5, 15, 29, 29, 145, 233, 209, 891, 89, 8097, 2897, 26685}},
-{2829, 15, 8720, {1, 1, 3, 1, 29, 53, 19, 95, 161, 359, 435, 3313, 4955, 7965, 21015}},
-{2830, 15, 8729, {1, 3, 5, 9, 19, 3, 109, 77, 29, 937, 1663, 125, 2453, 1069, 20639}},
-{2831, 15, 8739, {1, 3, 7, 13, 5, 23, 43, 231, 347, 591, 1963, 2491, 4045, 16029, 8149}},
-{2832, 15, 8741, {1, 1, 5, 1, 13, 3, 75, 211, 419, 929, 901, 3453, 8121, 799, 8897}},
-{2833, 15, 8751, {1, 1, 7, 15, 11, 11, 123, 111, 309, 415, 1071, 975, 2009, 12945, 19617}},
-{2834, 15, 8759, {1, 1, 1, 7, 31, 35, 81, 255, 89, 643, 451, 513, 497, 11751, 24215}},
-{2835, 15, 8766, {1, 3, 5, 5, 25, 17, 5, 165, 139, 929, 1927, 1353, 7427, 9719, 17087}},
-{2836, 15, 8777, {1, 3, 5, 1, 21, 55, 79, 85, 333, 847, 1305, 851, 5057, 8361, 18269}},
-{2837, 15, 8783, {1, 3, 7, 15, 27, 17, 55, 125, 395, 223, 271, 781, 1639, 10569, 11143}},
-{2838, 15, 8786, {1, 1, 7, 9, 7, 33, 127, 85, 209, 339, 483, 241, 2523, 14951, 6855}},
-{2839, 15, 8795, {1, 1, 3, 9, 5, 19, 9, 183, 435, 343, 1105, 3139, 7617, 1311, 267}},
-{2840, 15, 8802, {1, 1, 5, 1, 15, 53, 11, 63, 113, 241, 855, 3123, 4777, 3495, 23345}},
-{2841, 15, 8814, {1, 3, 1, 5, 19, 29, 119, 205, 167, 683, 289, 1629, 4977, 8981, 6867}},
-{2842, 15, 8821, {1, 3, 1, 1, 31, 63, 95, 159, 267, 231, 863, 3385, 5315, 7267, 13757}},
-{2843, 15, 8828, {1, 3, 5, 11, 19, 21, 53, 41, 125, 179, 533, 1279, 3759, 7073, 13905}},
-{2844, 15, 8831, {1, 3, 5, 9, 17, 7, 27, 67, 97, 809, 1423, 2743, 2859, 16121, 329}},
-{2845, 15, 8837, {1, 3, 1, 15, 1, 41, 59, 155, 509, 51, 1827, 3739, 3879, 13369, 30821}},
-{2846, 15, 8842, {1, 3, 3, 7, 21, 31, 7, 13, 347, 919, 1225, 497, 5051, 3769, 20211}},
-{2847, 15, 8855, {1, 3, 7, 13, 31, 9, 127, 195, 123, 387, 3, 3593, 6623, 9827, 29319}},
-{2848, 15, 8856, {1, 1, 3, 9, 7, 27, 95, 211, 287, 189, 1683, 1999, 7641, 14983, 4699}},
-{2849, 15, 8868, {1, 1, 5, 3, 7, 21, 29, 189, 101, 423, 885, 3275, 6569, 11023, 22265}},
-{2850, 15, 8877, {1, 3, 5, 3, 9, 33, 79, 75, 327, 975, 287, 3025, 2157, 7301, 24447}},
-{2851, 15, 8890, {1, 3, 3, 15, 31, 27, 63, 1, 71, 119, 1151, 517, 6131, 11055, 179}},
-{2852, 15, 8892, {1, 3, 7, 11, 23, 15, 101, 247, 349, 735, 673, 997, 6451, 229, 32103}},
-{2853, 15, 8900, {1, 3, 5, 15, 7, 1, 51, 135, 207, 741, 1831, 1235, 4747, 11915, 22009}},
-{2854, 15, 8909, {1, 3, 1, 13, 9, 31, 19, 221, 465, 681, 627, 2595, 5617, 14201, 30355}},
-{2855, 15, 8912, {1, 1, 3, 1, 13, 49, 55, 155, 11, 885, 1275, 3591, 2217, 6659, 30885}},
-{2856, 15, 8921, {1, 1, 7, 11, 27, 57, 93, 95, 243, 63, 1405, 2049, 7689, 15943, 18503}},
-{2857, 15, 8922, {1, 1, 7, 7, 5, 11, 47, 189, 467, 631, 1665, 2717, 4285, 2087, 1435}},
-{2858, 15, 8927, {1, 1, 3, 11, 7, 27, 127, 3, 231, 757, 435, 2545, 3537, 9127, 19915}},
-{2859, 15, 8943, {1, 1, 5, 13, 5, 29, 85, 127, 339, 875, 497, 1573, 6553, 11983, 18029}},
-{2860, 15, 8948, {1, 3, 1, 1, 21, 3, 15, 91, 231, 683, 1529, 2651, 4147, 13437, 23861}},
-{2861, 15, 8951, {1, 3, 1, 7, 27, 17, 19, 179, 243, 223, 1037, 1501, 5935, 2259, 25185}},
-{2862, 15, 8958, {1, 1, 3, 15, 11, 19, 127, 27, 483, 219, 583, 2555, 531, 3451, 17875}},
-{2863, 15, 8984, {1, 1, 1, 13, 31, 39, 89, 149, 363, 741, 1355, 4067, 3171, 6783, 1799}},
-{2864, 15, 8994, {1, 1, 3, 11, 25, 51, 45, 235, 379, 123, 1701, 725, 1991, 7471, 9833}},
-{2865, 15, 9000, {1, 1, 5, 13, 15, 47, 13, 201, 263, 57, 375, 2963, 7475, 15929, 13775}},
-{2866, 15, 9013, {1, 1, 3, 1, 29, 29, 11, 161, 345, 253, 97, 255, 7267, 2379, 3933}},
-{2867, 15, 9018, {1, 3, 1, 15, 3, 47, 11, 69, 347, 747, 795, 2401, 3367, 2383, 6125}},
-{2868, 15, 9020, {1, 1, 7, 3, 1, 49, 101, 47, 71, 761, 1503, 2619, 191, 8895, 873}},
-{2869, 15, 9031, {1, 3, 3, 5, 25, 41, 93, 85, 427, 109, 1675, 2409, 4317, 9233, 30283}},
-{2870, 15, 9035, {1, 1, 3, 9, 11, 3, 67, 159, 425, 751, 887, 1415, 403, 15977, 10739}},
-{2871, 15, 9045, {1, 1, 5, 13, 9, 1, 9, 103, 481, 601, 931, 1957, 5763, 7095, 27141}},
-{2872, 15, 9052, {1, 1, 3, 15, 29, 13, 43, 33, 297, 269, 1041, 1411, 3461, 12043, 10045}},
-{2873, 15, 9056, {1, 3, 5, 3, 3, 3, 5, 7, 185, 753, 133, 1561, 5595, 13777, 25795}},
-{2874, 15, 9059, {1, 3, 5, 5, 1, 19, 29, 145, 163, 149, 619, 2603, 7757, 10035, 10189}},
-{2875, 15, 9066, {1, 3, 7, 15, 27, 15, 111, 173, 135, 117, 157, 2601, 7919, 12111, 22795}},
-{2876, 15, 9076, {1, 3, 1, 1, 29, 27, 65, 31, 101, 715, 289, 3643, 2335, 6789, 23397}},
-{2877, 15, 9089, {1, 3, 1, 3, 11, 45, 71, 109, 321, 423, 1695, 169, 3075, 12423, 11391}},
-{2878, 15, 9129, {1, 1, 3, 9, 13, 51, 35, 121, 203, 279, 433, 2725, 7951, 2105, 27333}},
-{2879, 15, 9132, {1, 1, 1, 15, 23, 31, 25, 105, 501, 441, 1511, 3133, 2811, 10595, 21779}},
-{2880, 15, 9147, {1, 1, 5, 13, 7, 1, 97, 193, 121, 993, 1347, 1903, 1883, 6583, 24535}},
-{2881, 15, 9164, {1, 1, 7, 9, 7, 29, 17, 41, 101, 447, 1289, 387, 1891, 2723, 26091}},
-{2882, 15, 9167, {1, 1, 3, 3, 3, 53, 81, 81, 177, 165, 195, 3413, 8177, 3817, 8453}},
-{2883, 15, 9185, {1, 3, 7, 15, 15, 31, 23, 31, 337, 439, 1773, 63, 5351, 5491, 1767}},
-{2884, 15, 9195, {1, 3, 1, 11, 5, 15, 23, 75, 437, 553, 429, 2705, 3625, 13851, 19865}},
-{2885, 15, 9197, {1, 3, 3, 9, 13, 15, 33, 235, 215, 415, 1737, 1409, 2101, 14623, 14717}},
-{2886, 15, 9210, {1, 3, 7, 7, 13, 51, 101, 217, 175, 813, 1639, 4009, 1625, 4991, 17525}},
-{2887, 15, 9217, {1, 1, 5, 13, 23, 33, 29, 175, 39, 673, 557, 3239, 5129, 11049, 27227}},
-{2888, 15, 9229, {1, 3, 7, 13, 1, 37, 33, 139, 493, 891, 1883, 2525, 5741, 15795, 5875}},
-{2889, 15, 9248, {1, 3, 1, 15, 15, 27, 127, 111, 147, 363, 725, 3077, 4341, 9131, 24635}},
-{2890, 15, 9254, {1, 1, 7, 3, 17, 25, 59, 135, 177, 635, 73, 3455, 3083, 6009, 13033}},
-{2891, 15, 9263, {1, 1, 1, 5, 15, 53, 93, 161, 215, 459, 1087, 179, 2235, 8885, 15309}},
-{2892, 15, 9266, {1, 1, 7, 13, 7, 17, 75, 173, 449, 855, 103, 2739, 3421, 11811, 18805}},
-{2893, 15, 9268, {1, 1, 7, 9, 5, 11, 53, 75, 247, 249, 1201, 953, 2455, 4589, 6027}},
-{2894, 15, 9290, {1, 1, 5, 13, 27, 51, 119, 39, 137, 11, 1435, 3773, 3889, 6081, 11829}},
-{2895, 15, 9310, {1, 1, 5, 5, 5, 35, 1, 197, 501, 185, 1039, 1563, 6421, 14373, 25655}},
-{2896, 15, 9316, {1, 1, 3, 13, 31, 55, 115, 183, 483, 655, 1351, 3203, 725, 3299, 22579}},
-{2897, 15, 9338, {1, 3, 5, 11, 31, 31, 83, 59, 395, 21, 1881, 2821, 2251, 11781, 26265}},
-{2898, 15, 9340, {1, 3, 7, 13, 21, 19, 103, 21, 403, 443, 1951, 55, 985, 15983, 15087}},
-{2899, 15, 9343, {1, 1, 5, 15, 29, 11, 51, 53, 255, 183, 1475, 1491, 259, 387, 10303}},
-{2900, 15, 9344, {1, 3, 5, 7, 21, 37, 45, 39, 479, 637, 1325, 3753, 3319, 7403, 31759}},
-{2901, 15, 9350, {1, 1, 3, 5, 7, 43, 89, 53, 269, 187, 995, 141, 119, 8139, 29699}},
-{2902, 15, 9354, {1, 1, 1, 5, 1, 53, 3, 23, 379, 223, 1889, 4035, 1437, 12425, 9051}},
-{2903, 15, 9359, {1, 3, 1, 13, 3, 31, 61, 43, 249, 449, 901, 1921, 3495, 8599, 5263}},
-{2904, 15, 9361, {1, 1, 3, 5, 3, 25, 35, 133, 25, 597, 915, 3663, 5147, 11831, 24269}},
-{2905, 15, 9364, {1, 1, 1, 9, 21, 27, 93, 93, 217, 299, 1881, 3647, 4825, 7989, 24121}},
-{2906, 15, 9368, {1, 3, 1, 15, 5, 15, 49, 129, 315, 631, 2037, 1567, 4043, 15589, 30905}},
-{2907, 15, 9371, {1, 3, 3, 7, 25, 5, 123, 51, 47, 471, 1563, 3947, 7975, 3681, 9611}},
-{2908, 15, 9373, {1, 3, 7, 15, 1, 17, 73, 245, 465, 95, 95, 1159, 1319, 4675, 8841}},
-{2909, 15, 9389, {1, 1, 3, 15, 5, 51, 35, 71, 423, 651, 753, 173, 2131, 15799, 29601}},
-{2910, 15, 9390, {1, 1, 1, 1, 3, 53, 83, 187, 445, 827, 1549, 979, 5363, 1701, 2149}},
-{2911, 15, 9409, {1, 1, 7, 9, 3, 15, 65, 161, 37, 233, 771, 3749, 727, 6857, 17175}},
-{2912, 15, 9443, {1, 1, 7, 7, 27, 29, 107, 247, 249, 353, 773, 3677, 7273, 5419, 29397}},
-{2913, 15, 9445, {1, 3, 3, 7, 31, 49, 87, 159, 145, 497, 1715, 2115, 5035, 6431, 7245}},
-{2914, 15, 9446, {1, 3, 3, 5, 7, 31, 51, 117, 101, 617, 557, 2551, 6589, 13295, 31975}},
-{2915, 15, 9452, {1, 1, 3, 3, 15, 27, 125, 163, 169, 893, 1771, 25, 5787, 10267, 10297}},
-{2916, 15, 9490, {1, 1, 1, 5, 9, 47, 85, 65, 289, 783, 1105, 4035, 4111, 2589, 24575}},
-{2917, 15, 9492, {1, 3, 3, 13, 23, 33, 7, 49, 301, 531, 1713, 2755, 5543, 8153, 24099}},
-{2918, 15, 9495, {1, 1, 5, 9, 7, 39, 101, 67, 417, 923, 757, 1537, 5553, 12233, 20881}},
-{2919, 15, 9508, {1, 1, 5, 1, 19, 7, 25, 123, 125, 183, 573, 3317, 6867, 871, 17631}},
-{2920, 15, 9523, {1, 1, 3, 15, 19, 13, 117, 41, 129, 715, 1525, 2257, 2179, 10807, 23271}},
-{2921, 15, 9543, {1, 3, 1, 5, 25, 53, 19, 169, 289, 569, 1135, 1967, 7001, 15883, 15113}},
-{2922, 15, 9558, {1, 3, 7, 15, 7, 37, 127, 147, 415, 313, 1541, 1889, 3763, 16199, 12681}},
-{2923, 15, 9567, {1, 1, 3, 9, 1, 35, 95, 137, 237, 951, 899, 3177, 6073, 10655, 31687}},
-{2924, 15, 9580, {1, 1, 5, 5, 29, 57, 45, 253, 297, 529, 1553, 467, 8035, 15675, 21691}},
-{2925, 15, 9585, {1, 3, 7, 15, 25, 41, 59, 81, 87, 985, 1001, 2369, 661, 7551, 11829}},
-{2926, 15, 9591, {1, 1, 7, 9, 27, 21, 7, 233, 309, 67, 701, 2737, 4261, 2467, 15691}},
-{2927, 15, 9611, {1, 3, 7, 1, 19, 55, 47, 155, 333, 101, 517, 1991, 4619, 10435, 27241}},
-{2928, 15, 9613, {1, 1, 7, 3, 23, 35, 7, 125, 157, 537, 933, 3281, 4975, 8969, 27581}},
-{2929, 15, 9614, {1, 1, 3, 7, 19, 53, 81, 103, 461, 435, 777, 335, 5261, 12249, 9695}},
-{2930, 15, 9621, {1, 3, 1, 7, 19, 9, 75, 245, 355, 37, 1855, 1339, 3107, 7251, 16543}},
-{2931, 15, 9631, {1, 1, 1, 3, 5, 35, 39, 223, 113, 423, 1423, 713, 6113, 349, 24147}},
-{2932, 15, 9642, {1, 3, 1, 1, 15, 31, 11, 75, 499, 345, 1253, 2629, 2551, 7483, 25395}},
-{2933, 15, 9656, {1, 1, 3, 11, 25, 25, 3, 211, 185, 45, 1865, 1805, 3303, 11091, 529}},
-{2934, 15, 9661, {1, 3, 1, 1, 9, 21, 7, 165, 107, 641, 1083, 2805, 2099, 5855, 18477}},
-{2935, 15, 9667, {1, 3, 5, 3, 9, 21, 77, 103, 505, 277, 335, 797, 3869, 2957, 1979}},
-{2936, 15, 9694, {1, 3, 5, 15, 31, 23, 77, 247, 303, 891, 1261, 3233, 3495, 13111, 13185}},
-{2937, 15, 9715, {1, 3, 5, 11, 11, 35, 49, 229, 149, 931, 881, 775, 2949, 3141, 29157}},
-{2938, 15, 9722, {1, 1, 3, 5, 19, 57, 23, 95, 347, 221, 195, 3561, 1481, 2063, 3979}},
-{2939, 15, 9738, {1, 3, 5, 3, 13, 1, 23, 173, 431, 29, 421, 3235, 2751, 4447, 28283}},
-{2940, 15, 9745, {1, 1, 5, 13, 23, 3, 1, 9, 327, 855, 1251, 2997, 6129, 4223, 11555}},
-{2941, 15, 9758, {1, 3, 7, 13, 29, 21, 37, 229, 217, 353, 1239, 3955, 491, 12183, 14777}},
-{2942, 15, 9764, {1, 1, 5, 5, 1, 33, 103, 187, 183, 939, 1873, 2633, 6143, 15405, 17353}},
-{2943, 15, 9782, {1, 1, 1, 9, 21, 27, 71, 129, 499, 279, 1181, 4053, 2485, 1961, 30603}},
-{2944, 15, 9791, {1, 1, 3, 15, 21, 37, 45, 201, 221, 187, 727, 1241, 6171, 1383, 22277}},
-{2945, 15, 9793, {1, 3, 7, 5, 21, 17, 67, 177, 323, 601, 633, 865, 6131, 10329, 8689}},
-{2946, 15, 9794, {1, 3, 5, 9, 15, 45, 71, 43, 359, 651, 103, 403, 3249, 11769, 6567}},
-{2947, 15, 9805, {1, 3, 3, 13, 3, 23, 101, 145, 367, 999, 1489, 3673, 2959, 10855, 16029}},
-{2948, 15, 9808, {1, 3, 7, 3, 13, 43, 123, 87, 55, 1015, 141, 2917, 6567, 16025, 25555}},
-{2949, 15, 9811, {1, 3, 1, 3, 17, 7, 21, 161, 41, 889, 1315, 1897, 639, 15451, 3049}},
-{2950, 15, 9817, {1, 3, 5, 15, 27, 33, 55, 17, 81, 431, 325, 909, 3547, 10121, 17815}},
-{2951, 15, 9824, {1, 1, 3, 1, 15, 37, 43, 137, 203, 191, 1129, 1585, 435, 3177, 769}},
-{2952, 15, 9836, {1, 3, 7, 11, 21, 23, 125, 41, 17, 951, 465, 3691, 3465, 13247, 13779}},
-{2953, 15, 9851, {1, 3, 3, 1, 31, 23, 43, 101, 405, 739, 1061, 2955, 5643, 16137, 8763}},
-{2954, 15, 9853, {1, 1, 5, 1, 19, 33, 99, 109, 203, 65, 395, 2775, 1373, 2557, 5875}},
-{2955, 15, 9854, {1, 3, 3, 3, 27, 51, 79, 63, 331, 365, 1071, 1661, 4549, 8561, 1719}},
-{2956, 15, 9877, {1, 3, 3, 9, 3, 17, 53, 161, 141, 489, 1325, 1709, 1381, 5093, 171}},
-{2957, 15, 9881, {1, 1, 7, 15, 9, 3, 95, 237, 197, 949, 7, 1837, 729, 10111, 6637}},
-{2958, 15, 9923, {1, 1, 3, 3, 19, 31, 57, 173, 483, 861, 1001, 1919, 3389, 11777, 20693}},
-{2959, 15, 9935, {1, 3, 1, 9, 27, 13, 113, 177, 75, 925, 949, 119, 4759, 7775, 23033}},
-{2960, 15, 9937, {1, 1, 7, 15, 23, 15, 65, 61, 137, 653, 1843, 323, 379, 15157, 29885}},
-{2961, 15, 9954, {1, 3, 3, 7, 29, 3, 11, 205, 347, 745, 1477, 3929, 5749, 4735, 29435}},
-{2962, 15, 9959, {1, 3, 5, 9, 1, 11, 111, 15, 7, 69, 45, 3607, 1099, 9203, 21301}},
-{2963, 15, 9963, {1, 3, 3, 3, 23, 3, 83, 173, 73, 485, 681, 1867, 3839, 11823, 13339}},
-{2964, 15, 9968, {1, 1, 3, 11, 31, 43, 107, 127, 465, 389, 1595, 427, 1571, 5885, 29569}},
-{2965, 15, 9973, {1, 1, 7, 9, 27, 25, 117, 27, 287, 391, 279, 3247, 35, 12973, 5483}},
-{2966, 15, 9974, {1, 3, 7, 11, 19, 55, 45, 127, 245, 945, 305, 3907, 2455, 3163, 31}},
-{2967, 15, 9980, {1, 1, 7, 11, 15, 17, 65, 15, 37, 207, 1447, 3027, 2281, 6557, 16717}},
-{2968, 15, 9983, {1, 1, 1, 13, 5, 27, 33, 213, 29, 603, 1171, 3235, 2255, 2017, 30999}},
-{2969, 15, 9985, {1, 3, 1, 5, 11, 1, 73, 233, 69, 125, 397, 297, 3337, 6191, 31055}},
-{2970, 15, 10003, {1, 1, 1, 15, 1, 1, 65, 145, 201, 917, 1891, 2999, 4069, 10413, 15819}},
-{2971, 15, 10010, {1, 3, 5, 13, 15, 51, 115, 167, 311, 375, 1069, 2595, 3337, 753, 11903}},
-{2972, 15, 10034, {1, 1, 3, 1, 1, 23, 69, 125, 147, 915, 1945, 411, 979, 13863, 30443}},
-{2973, 15, 10040, {1, 3, 1, 11, 5, 1, 93, 23, 135, 93, 1689, 23, 3519, 4491, 24673}},
-{2974, 15, 10063, {1, 1, 7, 3, 11, 59, 93, 153, 487, 475, 1191, 1455, 5963, 8259, 18811}},
-{2975, 15, 10077, {1, 1, 3, 1, 13, 15, 55, 71, 433, 33, 491, 1835, 5695, 10509, 347}},
-{2976, 15, 10081, {1, 1, 1, 15, 19, 1, 23, 47, 235, 101, 1057, 901, 5477, 7079, 30885}},
-{2977, 15, 10082, {1, 1, 5, 13, 11, 43, 119, 77, 441, 121, 783, 827, 1757, 12751, 31593}},
-{2978, 15, 10084, {1, 3, 7, 11, 19, 17, 37, 225, 329, 231, 515, 1541, 7371, 6355, 10905}},
-{2979, 15, 10088, {1, 1, 5, 13, 7, 11, 35, 215, 345, 577, 147, 2803, 3291, 4631, 5329}},
-{2980, 15, 10091, {1, 1, 3, 9, 21, 55, 113, 251, 25, 221, 1445, 3385, 1589, 4109, 29897}},
-{2981, 15, 10105, {1, 1, 5, 7, 9, 45, 5, 33, 331, 285, 1101, 3131, 2713, 5653, 3823}},
-{2982, 15, 10111, {1, 3, 7, 7, 5, 39, 43, 167, 481, 629, 777, 1827, 4653, 403, 4781}},
-{2983, 15, 10118, {1, 3, 3, 7, 31, 33, 31, 159, 313, 673, 1425, 663, 5819, 1297, 26627}},
-{2984, 15, 10127, {1, 3, 3, 1, 19, 61, 117, 93, 373, 491, 1031, 757, 4185, 771, 7265}},
-{2985, 15, 10135, {1, 1, 7, 9, 3, 45, 65, 223, 437, 41, 1139, 2733, 5963, 2709, 25429}},
-{2986, 15, 10169, {1, 3, 5, 11, 21, 27, 31, 127, 255, 761, 1865, 1319, 6583, 9235, 10717}},
-{2987, 15, 10172, {1, 1, 1, 5, 21, 1, 63, 43, 413, 557, 567, 2893, 8017, 2307, 29525}},
-{2988, 15, 10183, {1, 1, 7, 3, 31, 1, 15, 235, 215, 395, 1971, 469, 5275, 431, 5349}},
-{2989, 15, 10190, {1, 1, 1, 13, 25, 59, 71, 245, 389, 279, 1293, 89, 6551, 10285, 14495}},
-{2990, 15, 10192, {1, 1, 5, 5, 9, 63, 17, 229, 425, 939, 877, 3689, 7229, 6707, 30771}},
-{2991, 15, 10211, {1, 3, 7, 7, 11, 29, 43, 41, 25, 237, 1585, 3735, 2617, 7541, 26243}},
-{2992, 15, 10218, {1, 1, 7, 9, 21, 5, 69, 231, 361, 39, 1695, 3043, 2973, 5487, 12857}},
-{2993, 15, 10228, {1, 1, 5, 3, 17, 63, 91, 217, 407, 133, 1373, 4021, 1737, 10043, 4561}},
-{2994, 15, 10235, {1, 3, 7, 9, 31, 13, 101, 231, 175, 457, 89, 2167, 2725, 8505, 375}},
-{2995, 15, 10242, {1, 1, 3, 15, 31, 11, 27, 211, 347, 291, 1881, 3091, 3307, 5117, 13341}},
-{2996, 15, 10244, {1, 3, 5, 5, 13, 25, 5, 197, 237, 135, 635, 1175, 5085, 14737, 10807}},
-{2997, 15, 10271, {1, 3, 3, 9, 7, 63, 107, 127, 147, 477, 1813, 2619, 8089, 2651, 26549}},
-{2998, 15, 10278, {1, 1, 5, 11, 15, 45, 27, 133, 45, 621, 707, 2679, 5929, 19, 9599}},
-{2999, 15, 10296, {1, 3, 7, 9, 21, 37, 41, 255, 69, 1009, 1999, 367, 6177, 10017, 3549}},
-{3000, 15, 10299, {1, 1, 1, 15, 19, 55, 73, 189, 423, 983, 1811, 2551, 4765, 12077, 18205}},
-{3001, 15, 10307, {1, 1, 5, 7, 17, 13, 25, 225, 463, 471, 631, 1811, 5797, 3235, 32253}},
-{3002, 15, 10309, {1, 3, 7, 1, 29, 7, 123, 187, 331, 735, 1757, 1115, 2077, 15725, 2183}},
-{3003, 15, 10310, {1, 3, 7, 9, 17, 61, 111, 93, 21, 1003, 1905, 3719, 2111, 11845, 6427}},
-{3004, 15, 10314, {1, 3, 7, 7, 17, 21, 51, 59, 115, 723, 2039, 2833, 5969, 5737, 18407}},
-{3005, 15, 10316, {1, 3, 3, 13, 9, 47, 95, 233, 13, 281, 1049, 619, 405, 16205, 20097}},
-{3006, 15, 10321, {1, 3, 7, 13, 9, 41, 11, 171, 453, 713, 587, 1669, 2489, 10277, 18599}},
-{3007, 15, 10328, {1, 3, 3, 13, 21, 41, 123, 173, 511, 399, 859, 1515, 5773, 12535, 26289}},
-{3008, 15, 10338, {1, 1, 7, 15, 11, 3, 113, 111, 73, 7, 1191, 2573, 7713, 465, 27615}},
-{3009, 15, 10343, {1, 1, 7, 15, 5, 5, 39, 11, 489, 13, 1041, 1639, 7879, 11899, 6899}},
-{3010, 15, 10344, {1, 1, 5, 9, 27, 31, 15, 237, 401, 795, 1675, 2361, 7333, 12507, 14627}},
-{3011, 15, 10347, {1, 3, 1, 7, 21, 53, 31, 81, 189, 683, 1283, 419, 7585, 9207, 15053}},
-{3012, 15, 10352, {1, 3, 5, 11, 21, 1, 49, 251, 403, 489, 1235, 429, 4855, 4081, 17575}},
-{3013, 15, 10364, {1, 3, 1, 15, 29, 33, 77, 53, 105, 731, 749, 2677, 3967, 7967, 18723}},
-{3014, 15, 10373, {1, 3, 3, 11, 9, 47, 11, 95, 137, 923, 599, 1585, 1969, 9625, 19171}},
-{3015, 15, 10386, {1, 1, 1, 5, 7, 7, 85, 49, 339, 883, 261, 2125, 3831, 9797, 16395}},
-{3016, 15, 10391, {1, 3, 3, 3, 5, 9, 33, 99, 75, 889, 101, 2099, 6635, 11511, 21573}},
-{3017, 15, 10398, {1, 1, 5, 11, 1, 11, 79, 49, 7, 131, 471, 1235, 3287, 14777, 12053}},
-{3018, 15, 10408, {1, 1, 5, 15, 9, 9, 83, 15, 21, 899, 1785, 2349, 3471, 6723, 1405}},
-{3019, 15, 10413, {1, 3, 5, 11, 1, 7, 121, 223, 509, 859, 1037, 491, 5529, 481, 17029}},
-{3020, 15, 10422, {1, 1, 7, 5, 17, 35, 91, 171, 113, 65, 423, 2371, 5105, 12827, 31087}},
-{3021, 15, 10445, {1, 1, 3, 3, 21, 47, 55, 11, 159, 51, 263, 2113, 661, 9147, 28929}},
-{3022, 15, 10460, {1, 1, 1, 9, 19, 7, 43, 223, 207, 787, 543, 2141, 4247, 7369, 29031}},
-{3023, 15, 10463, {1, 1, 7, 11, 11, 51, 121, 9, 211, 905, 687, 889, 1827, 13395, 3507}},
-{3024, 15, 10464, {1, 3, 1, 7, 15, 23, 5, 139, 469, 569, 33, 3477, 5391, 13665, 17011}},
-{3025, 15, 10474, {1, 1, 1, 15, 29, 29, 29, 201, 63, 1019, 97, 1671, 9, 4617, 19833}},
-{3026, 15, 10476, {1, 1, 5, 15, 25, 5, 67, 225, 189, 919, 1471, 1451, 5017, 16189, 31555}},
-{3027, 15, 10487, {1, 3, 5, 5, 15, 51, 89, 221, 149, 863, 43, 2381, 1767, 8037, 5319}},
-{3028, 15, 10494, {1, 3, 3, 1, 15, 17, 5, 77, 69, 27, 1883, 63, 5987, 1497, 3723}},
-{3029, 15, 10499, {1, 3, 7, 11, 7, 5, 113, 229, 123, 709, 1531, 641, 6655, 14923, 22947}},
-{3030, 15, 10506, {1, 3, 1, 13, 21, 15, 45, 175, 81, 499, 1113, 587, 7573, 11689, 15651}},
-{3031, 15, 10513, {1, 3, 1, 1, 29, 43, 101, 37, 131, 757, 465, 743, 2737, 8063, 23967}},
-{3032, 15, 10516, {1, 1, 7, 13, 9, 21, 39, 177, 51, 691, 2047, 1519, 6137, 5271, 8703}},
-{3033, 15, 10523, {1, 1, 3, 3, 5, 55, 63, 21, 3, 317, 461, 527, 2673, 16211, 6721}},
-{3034, 15, 10539, {1, 3, 5, 5, 5, 47, 7, 241, 387, 589, 323, 203, 7241, 14761, 13287}},
-{3035, 15, 10549, {1, 3, 5, 3, 23, 63, 55, 61, 231, 1023, 1315, 1181, 243, 7389, 25639}},
-{3036, 15, 10550, {1, 1, 7, 13, 31, 43, 41, 81, 127, 887, 1513, 4055, 1361, 2443, 6963}},
-{3037, 15, 10567, {1, 1, 1, 5, 7, 43, 43, 33, 323, 911, 1373, 3053, 6503, 513, 6457}},
-{3038, 15, 10576, {1, 1, 7, 11, 25, 61, 21, 149, 205, 349, 1433, 1587, 149, 7275, 5465}},
-{3039, 15, 10625, {1, 3, 5, 5, 11, 9, 31, 217, 119, 511, 209, 3325, 2023, 2877, 463}},
-{3040, 15, 10635, {1, 3, 5, 15, 21, 47, 89, 41, 347, 849, 1375, 3311, 807, 11443, 27643}},
-{3041, 15, 10643, {1, 1, 5, 7, 29, 43, 123, 191, 321, 373, 447, 2145, 1221, 2071, 12689}},
-{3042, 15, 10656, {1, 3, 5, 15, 1, 21, 43, 141, 461, 779, 1109, 2915, 909, 8585, 19859}},
-{3043, 15, 10671, {1, 3, 3, 11, 5, 17, 57, 13, 393, 661, 1761, 2455, 43, 8593, 20505}},
-{3044, 15, 10676, {1, 3, 5, 1, 31, 47, 65, 249, 77, 513, 851, 2381, 3447, 693, 7729}},
-{3045, 15, 10683, {1, 3, 5, 15, 31, 19, 83, 47, 369, 697, 1815, 819, 7573, 9245, 8013}},
-{3046, 15, 10685, {1, 3, 5, 5, 11, 25, 27, 151, 107, 339, 299, 3869, 3393, 5661, 2947}},
-{3047, 15, 10688, {1, 1, 3, 1, 1, 59, 85, 57, 175, 465, 239, 3115, 7157, 7035, 11463}},
-{3048, 15, 10697, {1, 1, 7, 5, 31, 41, 53, 149, 121, 743, 189, 159, 5289, 2945, 1179}},
-{3049, 15, 10700, {1, 3, 3, 15, 23, 51, 83, 25, 159, 163, 61, 713, 4529, 5253, 1603}},
-{3050, 15, 10712, {1, 3, 5, 11, 7, 29, 15, 177, 507, 695, 1305, 1863, 7525, 3063, 27433}},
-{3051, 15, 10724, {1, 1, 3, 11, 5, 41, 115, 227, 409, 951, 591, 4003, 7717, 4369, 15637}},
-{3052, 15, 10728, {1, 1, 7, 11, 23, 55, 71, 135, 51, 411, 2003, 2375, 6823, 1711, 4443}},
-{3053, 15, 10734, {1, 3, 1, 3, 31, 47, 31, 233, 243, 3, 313, 1649, 6955, 13679, 32327}},
-{3054, 15, 10739, {1, 1, 3, 11, 29, 9, 1, 79, 247, 677, 685, 3107, 5987, 9675, 29523}},
-{3055, 15, 10762, {1, 1, 1, 7, 25, 31, 39, 241, 483, 839, 1143, 437, 2317, 2437, 173}},
-{3056, 15, 10772, {1, 1, 5, 1, 17, 19, 83, 57, 39, 479, 715, 1911, 1091, 10937, 22145}},
-{3057, 15, 10781, {1, 1, 7, 1, 27, 45, 35, 55, 477, 719, 217, 3349, 7717, 6853, 9699}},
-{3058, 15, 10800, {1, 3, 1, 11, 9, 39, 25, 223, 303, 713, 151, 2611, 4629, 5855, 31729}},
-{3059, 15, 10805, {1, 1, 1, 11, 13, 35, 53, 39, 167, 779, 1673, 1221, 6281, 15113, 32027}},
-{3060, 15, 10827, {1, 1, 5, 9, 19, 63, 89, 113, 199, 107, 1015, 835, 2879, 9499, 25597}},
-{3061, 15, 10830, {1, 1, 7, 3, 19, 37, 15, 23, 449, 641, 1811, 3407, 6775, 6283, 31157}},
-{3062, 15, 10837, {1, 1, 3, 1, 19, 15, 31, 99, 511, 897, 1693, 2093, 955, 15897, 26693}},
-{3063, 15, 10841, {1, 1, 5, 1, 5, 15, 47, 19, 441, 541, 1621, 3877, 6407, 15991, 1931}},
-{3064, 15, 10847, {1, 3, 5, 9, 21, 61, 15, 77, 265, 351, 879, 3835, 6555, 2349, 23235}},
-{3065, 15, 10848, {1, 1, 5, 11, 25, 37, 29, 181, 341, 641, 1213, 1319, 6359, 6231, 32573}},
-{3066, 15, 10857, {1, 1, 1, 7, 1, 37, 87, 123, 33, 913, 111, 2613, 4895, 12595, 26633}},
-{3067, 15, 10866, {1, 3, 5, 3, 27, 11, 45, 89, 183, 241, 1355, 783, 3343, 239, 8643}},
-{3068, 15, 10868, {1, 3, 7, 7, 9, 35, 67, 187, 233, 577, 1445, 3063, 6039, 16233, 1453}},
-{3069, 15, 10872, {1, 1, 3, 13, 27, 11, 23, 15, 95, 63, 1931, 911, 8149, 6833, 3051}},
-{3070, 15, 10887, {1, 3, 3, 5, 29, 49, 125, 117, 47, 143, 423, 3215, 3605, 3677, 17155}},
-{3071, 15, 10899, {1, 3, 1, 1, 31, 1, 123, 195, 83, 893, 1947, 339, 2927, 7183, 15443}},
-{3072, 15, 10901, {1, 1, 7, 13, 31, 15, 91, 207, 39, 275, 439, 2617, 3093, 11041, 24997}},
-{3073, 15, 10915, {1, 1, 5, 3, 3, 41, 13, 67, 361, 497, 25, 3807, 3551, 9681, 21043}},
-{3074, 15, 10924, {1, 3, 3, 3, 11, 27, 103, 59, 427, 327, 1705, 29, 8127, 1641, 20847}},
-{3075, 15, 10929, {1, 3, 7, 5, 3, 37, 81, 137, 225, 101, 187, 3067, 2491, 12687, 16227}},
-{3076, 15, 10942, {1, 3, 5, 15, 15, 33, 69, 223, 225, 771, 1917, 2293, 2889, 12083, 23971}},
-{3077, 15, 10971, {1, 1, 3, 5, 11, 9, 121, 81, 203, 425, 1189, 2011, 3041, 3247, 739}},
-{3078, 15, 10992, {1, 3, 1, 1, 13, 9, 39, 169, 437, 571, 1481, 3355, 3895, 8975, 31031}},
-{3079, 15, 10995, {1, 3, 1, 11, 1, 43, 35, 35, 293, 11, 657, 1415, 5021, 14463, 17945}},
-{3080, 15, 11002, {1, 1, 5, 5, 13, 47, 91, 15, 159, 23, 971, 3575, 757, 13477, 31757}},
-{3081, 15, 11010, {1, 1, 7, 1, 5, 63, 69, 27, 71, 129, 123, 3767, 89, 7865, 1189}},
-{3082, 15, 11027, {1, 3, 3, 5, 23, 1, 83, 3, 487, 491, 217, 2583, 3889, 15009, 9227}},
-{3083, 15, 11029, {1, 3, 5, 15, 25, 1, 73, 107, 245, 191, 1449, 571, 1403, 6953, 17457}},
-{3084, 15, 11045, {1, 3, 3, 3, 27, 19, 25, 105, 207, 857, 1161, 3657, 2107, 7955, 517}},
-{3085, 15, 11057, {1, 3, 3, 9, 21, 29, 5, 103, 219, 35, 3, 1635, 4815, 15797, 29839}},
-{3086, 15, 11070, {1, 1, 7, 7, 3, 63, 75, 77, 13, 57, 603, 2333, 7761, 14397, 10875}},
-{3087, 15, 11092, {1, 3, 7, 13, 3, 11, 5, 255, 1, 947, 1695, 1927, 7447, 7407, 20797}},
-{3088, 15, 11099, {1, 1, 5, 1, 1, 21, 105, 73, 429, 973, 1801, 3943, 6161, 1309, 3359}},
-{3089, 15, 11106, {1, 1, 3, 15, 27, 9, 9, 129, 117, 545, 9, 1983, 6351, 10925, 27337}},
-{3090, 15, 11115, {1, 3, 3, 5, 5, 5, 13, 155, 503, 875, 1243, 2259, 3445, 11953, 6517}},
-{3091, 15, 11120, {1, 1, 7, 3, 29, 21, 121, 147, 413, 423, 1887, 2429, 2765, 16335, 3071}},
-{3092, 15, 11126, {1, 1, 7, 9, 5, 53, 41, 137, 463, 583, 1627, 1731, 6675, 3703, 8177}},
-{3093, 15, 11153, {1, 3, 5, 11, 31, 29, 67, 159, 425, 25, 1457, 139, 5019, 701, 7357}},
-{3094, 15, 11190, {1, 3, 1, 5, 25, 15, 123, 123, 245, 859, 249, 2175, 2137, 5765, 4873}},
-{3095, 15, 11199, {1, 1, 3, 5, 23, 1, 111, 111, 111, 469, 1473, 1777, 3579, 13503, 2569}},
-{3096, 15, 11222, {1, 1, 7, 3, 17, 23, 51, 23, 499, 135, 713, 3317, 807, 9589, 11349}},
-{3097, 15, 11225, {1, 1, 1, 15, 9, 51, 75, 159, 359, 773, 1521, 2913, 5901, 3047, 14649}},
-{3098, 15, 11226, {1, 1, 3, 1, 13, 61, 117, 195, 49, 267, 57, 1769, 3621, 9415, 29443}},
-{3099, 15, 11231, {1, 3, 7, 11, 3, 25, 33, 31, 315, 191, 359, 3399, 2481, 13831, 20205}},
-{3100, 15, 11244, {1, 3, 3, 5, 31, 43, 35, 125, 291, 51, 1469, 3857, 1707, 2641, 32137}},
-{3101, 15, 11259, {1, 3, 5, 1, 25, 11, 113, 137, 211, 159, 1667, 939, 6439, 5337, 32059}},
-{3102, 15, 11261, {1, 3, 3, 11, 31, 61, 99, 49, 383, 343, 395, 51, 6931, 16039, 5901}},
-{3103, 15, 11270, {1, 1, 3, 5, 9, 63, 63, 49, 405, 915, 1505, 2141, 6749, 7799, 17313}},
-{3104, 15, 11273, {1, 3, 7, 11, 15, 11, 49, 161, 155, 869, 121, 301, 6561, 4279, 15233}},
-{3105, 15, 11300, {1, 1, 5, 13, 19, 13, 103, 59, 503, 293, 701, 2527, 5327, 13927, 5025}},
-{3106, 15, 11307, {1, 1, 7, 1, 1, 37, 55, 155, 485, 399, 855, 2677, 5927, 9657, 2795}},
-{3107, 15, 11318, {1, 1, 1, 5, 19, 15, 121, 69, 385, 75, 1567, 2649, 5601, 12981, 15903}},
-{3108, 15, 11332, {1, 1, 1, 11, 19, 21, 45, 59, 505, 737, 15, 1383, 1177, 8375, 15557}},
-{3109, 15, 11335, {1, 1, 7, 13, 29, 19, 123, 127, 469, 773, 733, 3289, 8087, 5803, 27897}},
-{3110, 15, 11341, {1, 3, 3, 11, 19, 55, 101, 67, 485, 939, 607, 1521, 6161, 12235, 16499}},
-{3111, 15, 11347, {1, 3, 5, 13, 29, 31, 31, 9, 453, 151, 1055, 3873, 405, 12877, 29829}},
-{3112, 15, 11354, {1, 3, 5, 1, 17, 1, 17, 131, 107, 1003, 1749, 1849, 6207, 2153, 21275}},
-{3113, 15, 11360, {1, 3, 7, 15, 7, 25, 51, 143, 51, 517, 1841, 1771, 5389, 4633, 11123}},
-{3114, 15, 11369, {1, 3, 7, 11, 23, 7, 89, 95, 403, 361, 835, 585, 2783, 8091, 5141}},
-{3115, 15, 11372, {1, 3, 1, 9, 1, 53, 115, 11, 493, 587, 305, 3605, 1711, 4169, 20013}},
-{3116, 15, 11378, {1, 3, 7, 3, 17, 59, 55, 251, 49, 759, 1227, 3685, 7765, 1445, 20385}},
-{3117, 15, 11396, {1, 1, 5, 7, 29, 55, 19, 157, 129, 927, 893, 1235, 1955, 8153, 2865}},
-{3118, 15, 11405, {1, 3, 1, 15, 21, 35, 81, 53, 175, 939, 1635, 3597, 747, 14011, 12867}},
-{3119, 15, 11417, {1, 3, 7, 1, 27, 61, 91, 73, 405, 677, 603, 2715, 7099, 941, 24523}},
-{3120, 15, 11424, {1, 3, 5, 9, 13, 45, 35, 167, 57, 483, 735, 2777, 7847, 6257, 13109}},
-{3121, 15, 11427, {1, 3, 5, 7, 1, 3, 97, 13, 159, 533, 1791, 1061, 981, 10795, 26165}},
-{3122, 15, 11430, {1, 1, 5, 13, 27, 5, 125, 25, 251, 221, 1909, 197, 6987, 11537, 15287}},
-{3123, 15, 11439, {1, 3, 5, 5, 27, 15, 1, 131, 375, 923, 81, 3153, 6071, 2515, 23729}},
-{3124, 15, 11442, {1, 3, 3, 9, 9, 23, 71, 13, 465, 261, 937, 1549, 5993, 11325, 15065}},
-{3125, 15, 11448, {1, 3, 1, 3, 7, 63, 17, 129, 435, 23, 215, 2251, 1561, 9703, 26483}},
-{3126, 15, 11461, {1, 1, 3, 1, 5, 53, 77, 109, 9, 605, 371, 2081, 6023, 7145, 15837}},
-{3127, 15, 11468, {1, 3, 7, 11, 27, 39, 115, 47, 259, 337, 1857, 3465, 1549, 7747, 8525}},
-{3128, 15, 11471, {1, 3, 7, 7, 29, 29, 75, 77, 29, 661, 899, 3137, 2661, 15271, 28093}},
-{3129, 15, 11473, {1, 1, 1, 3, 3, 3, 11, 219, 39, 757, 1465, 249, 7445, 7013, 15187}},
-{3130, 15, 11476, {1, 3, 7, 15, 15, 1, 39, 245, 427, 1003, 1493, 1913, 6435, 14787, 13481}},
-{3131, 15, 11480, {1, 1, 7, 3, 3, 37, 5, 97, 343, 833, 1379, 1551, 5403, 1843, 5877}},
-{3132, 15, 11489, {1, 3, 1, 1, 3, 17, 17, 163, 339, 691, 1707, 1845, 5941, 4259, 24531}},
-{3133, 15, 11499, {1, 1, 1, 1, 27, 21, 85, 221, 71, 949, 1753, 391, 6349, 15901, 20811}},
-{3134, 15, 11516, {1, 1, 1, 5, 31, 19, 45, 99, 469, 783, 1747, 3807, 5889, 9485, 13715}},
-{3135, 15, 11522, {1, 3, 1, 9, 23, 21, 39, 25, 421, 713, 461, 2857, 5023, 5341, 6409}},
-{3136, 15, 11531, {1, 3, 7, 5, 25, 19, 59, 147, 387, 857, 375, 3103, 1261, 13697, 25675}},
-{3137, 15, 11539, {1, 3, 5, 5, 31, 21, 49, 251, 463, 441, 473, 3487, 3915, 11151, 17721}},
-{3138, 15, 11546, {1, 1, 3, 9, 15, 47, 81, 219, 143, 141, 81, 1705, 5847, 3437, 30521}},
-{3139, 15, 11551, {1, 1, 7, 3, 25, 19, 97, 41, 77, 105, 1337, 695, 7589, 8587, 7509}},
-{3140, 15, 11564, {1, 1, 5, 13, 3, 11, 61, 19, 139, 667, 963, 1567, 5715, 7079, 15967}},
-{3141, 15, 11582, {1, 1, 5, 5, 5, 29, 67, 57, 477, 173, 1163, 727, 823, 15635, 17705}},
-{3142, 15, 11589, {1, 3, 7, 11, 13, 39, 57, 193, 73, 617, 535, 1623, 4581, 4451, 2589}},
-{3143, 15, 11593, {1, 1, 5, 5, 9, 27, 75, 127, 325, 413, 1669, 1749, 8045, 16199, 12237}},
-{3144, 15, 11601, {1, 1, 3, 1, 17, 23, 27, 189, 319, 953, 347, 909, 4401, 12791, 25077}},
-{3145, 15, 11608, {1, 1, 3, 3, 17, 51, 37, 79, 301, 607, 885, 1169, 3275, 3327, 20013}},
-{3146, 15, 11617, {1, 3, 5, 3, 21, 9, 99, 213, 387, 889, 575, 3591, 5377, 2981, 23989}},
-{3147, 15, 11630, {1, 3, 3, 13, 11, 7, 23, 255, 279, 853, 453, 2377, 8123, 15393, 9669}},
-{3148, 15, 11663, {1, 3, 1, 7, 11, 9, 109, 35, 405, 449, 1967, 2943, 3485, 5031, 14273}},
-{3149, 15, 11666, {1, 3, 3, 1, 25, 27, 43, 115, 435, 675, 1937, 1477, 4831, 9417, 7017}},
-{3150, 15, 11668, {1, 1, 7, 13, 19, 45, 83, 241, 487, 215, 1453, 209, 4061, 1765, 15623}},
-{3151, 15, 11677, {1, 1, 7, 7, 21, 31, 95, 9, 287, 1005, 1933, 3405, 6913, 7733, 18975}},
-{3152, 15, 11682, {1, 1, 1, 11, 13, 11, 25, 39, 283, 57, 255, 2809, 5767, 6127, 6705}},
-{3153, 15, 11687, {1, 3, 1, 11, 1, 51, 73, 181, 261, 215, 385, 2777, 5169, 12431, 23563}},
-{3154, 15, 11696, {1, 3, 3, 9, 9, 39, 123, 197, 501, 679, 109, 3369, 4817, 8855, 7997}},
-{3155, 15, 11713, {1, 1, 5, 1, 29, 61, 15, 183, 453, 999, 1211, 3217, 8035, 5153, 19975}},
-{3156, 15, 11728, {1, 3, 7, 11, 11, 21, 51, 45, 379, 793, 289, 309, 1229, 7159, 581}},
-{3157, 15, 11747, {1, 1, 3, 9, 17, 11, 75, 67, 289, 191, 1083, 2949, 6063, 6611, 21595}},
-{3158, 15, 11750, {1, 3, 7, 3, 27, 45, 59, 193, 485, 277, 27, 1219, 2389, 15875, 6273}},
-{3159, 15, 11754, {1, 1, 5, 3, 31, 29, 65, 197, 115, 163, 9, 783, 5573, 2833, 12603}},
-{3160, 15, 11759, {1, 1, 3, 7, 5, 53, 115, 181, 175, 749, 1335, 1151, 2131, 12467, 15811}},
-{3161, 15, 11761, {1, 1, 1, 9, 27, 39, 11, 1, 443, 677, 777, 1857, 7459, 3177, 3875}},
-{3162, 15, 11764, {1, 1, 7, 7, 17, 3, 23, 161, 105, 603, 1991, 3845, 465, 11467, 2077}},
-{3163, 15, 11767, {1, 1, 3, 13, 5, 23, 39, 35, 399, 795, 265, 207, 1823, 15069, 31839}},
-{3164, 15, 11797, {1, 1, 1, 1, 29, 61, 89, 193, 41, 99, 315, 1021, 6109, 12507, 19973}},
-{3165, 15, 11804, {1, 1, 5, 3, 13, 57, 119, 251, 215, 695, 1521, 4081, 2481, 657, 855}},
-{3166, 15, 11808, {1, 1, 7, 3, 25, 5, 3, 133, 111, 385, 773, 1027, 4327, 3031, 3537}},
-{3167, 15, 11831, {1, 3, 7, 5, 5, 27, 43, 117, 479, 83, 1421, 2791, 6551, 6231, 10353}},
-{3168, 15, 11832, {1, 1, 1, 13, 3, 29, 35, 71, 85, 821, 1671, 3057, 797, 13683, 7025}},
-{3169, 15, 11849, {1, 3, 7, 1, 1, 47, 117, 233, 141, 993, 1381, 2551, 1031, 11765, 18429}},
-{3170, 15, 11855, {1, 3, 1, 3, 13, 3, 77, 29, 35, 807, 1109, 695, 5605, 5477, 449}},
-{3171, 15, 11863, {1, 1, 1, 15, 21, 37, 117, 105, 273, 311, 1287, 1415, 1221, 1847, 19487}},
-{3172, 15, 11880, {1, 3, 1, 11, 21, 61, 107, 225, 335, 501, 1995, 2399, 5475, 12613, 18877}},
-{3173, 15, 11883, {1, 3, 3, 1, 31, 41, 27, 205, 103, 837, 639, 2007, 2759, 12471, 1457}},
-{3174, 15, 11885, {1, 1, 7, 13, 29, 39, 71, 245, 105, 235, 1277, 1515, 6129, 15947, 26653}},
-{3175, 15, 11898, {1, 1, 7, 5, 7, 13, 87, 251, 315, 1017, 587, 2917, 5911, 2919, 29715}},
-{3176, 15, 11916, {1, 1, 1, 3, 7, 19, 81, 243, 177, 917, 2023, 2365, 7465, 4901, 29841}},
-{3177, 15, 11924, {1, 3, 5, 15, 1, 31, 15, 147, 285, 1003, 1757, 47, 6925, 1197, 19633}},
-{3178, 15, 11928, {1, 1, 5, 7, 27, 25, 47, 209, 85, 403, 1399, 2331, 3663, 595, 13407}},
-{3179, 15, 11947, {1, 3, 5, 9, 7, 25, 7, 139, 389, 817, 1153, 1421, 5735, 9577, 10269}},
-{3180, 15, 11955, {1, 1, 1, 9, 5, 61, 49, 117, 389, 541, 433, 1405, 2575, 223, 7265}},
-{3181, 15, 11961, {1, 1, 5, 7, 15, 1, 81, 207, 435, 843, 835, 3797, 7637, 5333, 31115}},
-{3182, 15, 11962, {1, 3, 7, 11, 13, 3, 47, 249, 301, 715, 2015, 3049, 8155, 10989, 26051}},
-{3183, 15, 11982, {1, 1, 7, 7, 3, 33, 119, 113, 381, 575, 367, 41, 3317, 11727, 4351}},
-{3184, 15, 11990, {1, 3, 3, 13, 9, 3, 51, 37, 173, 137, 533, 1827, 631, 10047, 6267}},
-{3185, 15, 12010, {1, 3, 3, 11, 17, 39, 61, 245, 13, 139, 1281, 1319, 1233, 13629, 32269}},
-{3186, 15, 12018, {1, 1, 1, 7, 15, 17, 91, 109, 163, 609, 11, 3251, 7653, 14035, 31755}},
-{3187, 15, 12027, {1, 3, 3, 15, 13, 21, 55, 231, 385, 133, 1833, 2637, 6935, 14303, 26745}},
-{3188, 15, 12029, {1, 1, 1, 7, 17, 41, 125, 141, 89, 823, 1411, 3637, 6211, 13323, 6111}},
-{3189, 15, 12035, {1, 1, 1, 11, 1, 21, 9, 43, 97, 685, 1223, 1491, 121, 1793, 2397}},
-{3190, 15, 12055, {1, 3, 5, 5, 17, 17, 5, 223, 129, 865, 1839, 1137, 6391, 4377, 9233}},
-{3191, 15, 12062, {1, 3, 7, 15, 21, 55, 5, 77, 341, 637, 1853, 1435, 1195, 9283, 21257}},
-{3192, 15, 12068, {1, 3, 5, 1, 9, 49, 43, 211, 127, 655, 1397, 1235, 5279, 2351, 24229}},
-{3193, 15, 12071, {1, 3, 5, 3, 25, 29, 13, 229, 25, 675, 837, 2753, 2125, 9863, 11293}},
-{3194, 15, 12072, {1, 3, 5, 7, 23, 43, 127, 1, 163, 237, 337, 3019, 7747, 16227, 2881}},
-{3195, 15, 12086, {1, 3, 5, 5, 25, 9, 43, 171, 421, 521, 1885, 337, 7873, 6347, 13181}},
-{3196, 15, 12097, {1, 3, 5, 5, 7, 47, 107, 173, 163, 191, 625, 3389, 2833, 7945, 24787}},
-{3197, 15, 12098, {1, 1, 7, 3, 27, 57, 27, 209, 253, 815, 301, 1633, 3945, 5051, 28851}},
-{3198, 15, 12100, {1, 3, 7, 9, 9, 51, 103, 213, 437, 189, 1857, 1331, 5551, 10641, 27405}},
-{3199, 15, 12112, {1, 1, 5, 5, 15, 1, 25, 105, 117, 347, 161, 3369, 3589, 12903, 23559}},
-{3200, 15, 12118, {1, 1, 1, 5, 3, 61, 93, 51, 81, 281, 1383, 745, 4137, 2005, 3635}},
-{3201, 15, 12133, {1, 3, 7, 5, 13, 57, 111, 211, 303, 477, 359, 4019, 6779, 5129, 22035}},
-{3202, 15, 12134, {1, 1, 1, 7, 17, 29, 113, 113, 201, 531, 749, 739, 2879, 3315, 18733}},
-{3203, 15, 12137, {1, 3, 7, 13, 21, 55, 21, 183, 359, 75, 377, 2211, 4281, 14317, 28307}},
-{3204, 15, 12161, {1, 3, 7, 1, 21, 1, 49, 213, 317, 75, 113, 1741, 7963, 12785, 11571}},
-{3205, 15, 12162, {1, 3, 7, 9, 11, 31, 29, 101, 261, 141, 715, 2727, 8187, 2075, 32433}},
-{3206, 15, 12171, {1, 3, 7, 3, 23, 9, 17, 143, 385, 211, 593, 241, 6567, 10777, 6677}},
-{3207, 15, 12174, {1, 1, 3, 15, 3, 17, 117, 99, 91, 793, 989, 2421, 5643, 16103, 9759}},
-{3208, 15, 12185, {1, 3, 7, 11, 23, 43, 107, 35, 421, 431, 743, 853, 7939, 12169, 4199}},
-{3209, 15, 12204, {1, 1, 1, 11, 21, 53, 17, 203, 123, 395, 59, 929, 255, 7585, 10945}},
-{3210, 15, 12212, {1, 3, 3, 15, 17, 57, 57, 133, 67, 71, 1685, 903, 4079, 15423, 26495}},
-{3211, 15, 12215, {1, 1, 1, 15, 3, 47, 95, 39, 405, 407, 1557, 3001, 6225, 15187, 5663}},
-{3212, 15, 12216, {1, 3, 5, 5, 13, 47, 33, 61, 375, 1023, 1981, 2773, 2375, 11321, 17731}},
-{3213, 15, 12253, {1, 3, 5, 9, 17, 59, 117, 95, 493, 149, 1269, 2865, 369, 2109, 24601}},
-{3214, 15, 12260, {1, 3, 5, 13, 17, 63, 67, 247, 95, 721, 67, 305, 6179, 15399, 32559}},
-{3215, 15, 12277, {1, 1, 5, 1, 3, 21, 41, 15, 453, 475, 2017, 3193, 5903, 897, 4237}},
-{3216, 15, 12289, {1, 1, 5, 3, 15, 41, 1, 141, 441, 575, 155, 3791, 7711, 11231, 24611}},
-{3217, 15, 12295, {1, 3, 7, 1, 17, 53, 27, 169, 31, 437, 963, 1793, 7777, 1917, 29311}},
-{3218, 15, 12314, {1, 3, 3, 13, 9, 27, 77, 87, 329, 885, 749, 1713, 6013, 6921, 629}},
-{3219, 15, 12323, {1, 3, 5, 13, 3, 7, 53, 27, 353, 267, 925, 2141, 439, 15175, 30851}},
-{3220, 15, 12325, {1, 3, 3, 13, 17, 57, 35, 101, 265, 901, 1825, 2159, 6149, 5967, 24023}},
-{3221, 15, 12335, {1, 1, 5, 11, 13, 51, 99, 111, 193, 415, 1541, 2929, 5045, 3147, 12587}},
-{3222, 15, 12349, {1, 3, 7, 11, 15, 9, 33, 17, 511, 815, 299, 1077, 6171, 10451, 15039}},
-{3223, 15, 12358, {1, 1, 1, 15, 25, 63, 51, 137, 449, 951, 1051, 1101, 4725, 2463, 7355}},
-{3224, 15, 12372, {1, 1, 1, 7, 27, 63, 29, 179, 317, 521, 1459, 827, 6599, 13459, 15439}},
-{3225, 15, 12376, {1, 3, 3, 15, 17, 31, 37, 191, 229, 245, 181, 941, 5761, 1849, 31599}},
-{3226, 15, 12379, {1, 1, 1, 9, 27, 45, 67, 239, 481, 615, 1667, 3751, 8141, 10013, 2125}},
-{3227, 15, 12386, {1, 1, 1, 1, 13, 51, 117, 135, 73, 151, 1291, 2541, 1411, 3767, 26949}},
-{3228, 15, 12395, {1, 3, 1, 9, 7, 11, 21, 187, 243, 857, 1951, 865, 7273, 2041, 8155}},
-{3229, 15, 12416, {1, 1, 3, 3, 19, 33, 89, 115, 455, 137, 707, 1867, 4221, 2433, 9119}},
-{3230, 15, 12421, {1, 1, 3, 11, 5, 3, 121, 1, 71, 951, 603, 3873, 723, 3285, 19289}},
-{3231, 15, 12440, {1, 3, 7, 15, 21, 1, 117, 17, 455, 519, 731, 3003, 5741, 9557, 29163}},
-{3232, 15, 12452, {1, 1, 3, 13, 25, 5, 43, 147, 209, 895, 255, 1231, 241, 487, 15593}},
-{3233, 15, 12455, {1, 1, 3, 13, 7, 1, 89, 187, 217, 927, 2029, 3521, 2777, 8103, 22819}},
-{3234, 15, 12456, {1, 1, 7, 11, 7, 33, 3, 73, 5, 489, 227, 2259, 7031, 6425, 26135}},
-{3235, 15, 12462, {1, 3, 3, 7, 31, 19, 97, 201, 455, 819, 945, 2771, 8083, 8711, 2835}},
-{3236, 15, 12467, {1, 1, 1, 5, 15, 45, 43, 157, 245, 967, 877, 2289, 4499, 9891, 18827}},
-{3237, 15, 12479, {1, 3, 1, 7, 21, 59, 123, 63, 231, 485, 1781, 1211, 4597, 5269, 1607}},
-{3238, 15, 12505, {1, 1, 1, 13, 23, 39, 105, 55, 249, 991, 1625, 3089, 3825, 4275, 29139}},
-{3239, 15, 12521, {1, 3, 3, 1, 29, 29, 55, 169, 13, 895, 1355, 1101, 6063, 12935, 23215}},
-{3240, 15, 12535, {1, 1, 5, 5, 31, 49, 99, 137, 209, 1017, 1179, 3931, 637, 14131, 19285}},
-{3241, 15, 12547, {1, 1, 1, 1, 3, 11, 119, 11, 215, 337, 243, 3883, 3807, 7335, 11901}},
-{3242, 15, 12556, {1, 3, 7, 3, 7, 27, 71, 225, 219, 367, 1213, 2739, 1185, 10175, 21313}},
-{3243, 15, 12561, {1, 3, 7, 13, 7, 49, 23, 223, 61, 1011, 797, 1335, 6711, 5961, 5605}},
-{3244, 15, 12568, {1, 3, 3, 11, 19, 37, 1, 149, 39, 661, 929, 2125, 2299, 5181, 28083}},
-{3245, 15, 12578, {1, 3, 3, 13, 13, 9, 67, 21, 463, 279, 529, 523, 6705, 11011, 31695}},
-{3246, 15, 12583, {1, 3, 1, 5, 13, 1, 123, 3, 291, 625, 1949, 2713, 5917, 10343, 13627}},
-{3247, 15, 12595, {1, 1, 3, 9, 27, 41, 3, 207, 103, 265, 811, 549, 6109, 313, 8889}},
-{3248, 15, 12604, {1, 3, 3, 13, 23, 43, 99, 33, 279, 463, 955, 793, 4113, 10615, 16957}},
-{3249, 15, 12610, {1, 1, 5, 7, 11, 49, 79, 45, 17, 937, 359, 1037, 1099, 3003, 31561}},
-{3250, 15, 12621, {1, 1, 1, 7, 3, 45, 111, 35, 109, 983, 53, 4057, 7349, 3599, 2209}},
-{3251, 15, 12622, {1, 3, 7, 11, 9, 43, 27, 9, 85, 529, 1497, 347, 759, 12449, 11373}},
-{3252, 15, 12624, {1, 1, 3, 9, 17, 1, 49, 31, 367, 813, 1385, 2025, 773, 4679, 4543}},
-{3253, 15, 12629, {1, 1, 5, 15, 15, 9, 43, 97, 239, 995, 1037, 841, 4167, 12113, 23765}},
-{3254, 15, 12630, {1, 3, 5, 9, 29, 53, 123, 49, 221, 113, 1157, 73, 6087, 1363, 11029}},
-{3255, 15, 12639, {1, 3, 1, 13, 3, 15, 69, 199, 279, 919, 5, 161, 4817, 15031, 121}},
-{3256, 15, 12640, {1, 3, 1, 9, 3, 31, 117, 77, 393, 241, 645, 3181, 1067, 15879, 2037}},
-{3257, 15, 12650, {1, 3, 3, 15, 3, 63, 57, 33, 117, 789, 941, 1301, 5865, 12693, 3523}},
-{3258, 15, 12679, {1, 1, 5, 13, 3, 61, 51, 151, 175, 305, 95, 1557, 6567, 7841, 13903}},
-{3259, 15, 12680, {1, 3, 3, 5, 15, 25, 127, 79, 245, 767, 645, 3933, 1357, 12579, 4067}},
-{3260, 15, 12698, {1, 3, 5, 11, 21, 31, 13, 251, 127, 231, 1795, 2627, 1191, 3363, 23543}},
-{3261, 15, 12716, {1, 1, 3, 5, 7, 49, 121, 57, 131, 481, 1879, 525, 5225, 337, 1957}},
-{3262, 15, 12721, {1, 1, 5, 13, 9, 55, 27, 37, 211, 125, 119, 3373, 251, 12357, 13975}},
-{3263, 15, 12722, {1, 3, 3, 15, 1, 51, 91, 119, 233, 993, 203, 1635, 1167, 6327, 29119}},
-{3264, 15, 12731, {1, 1, 7, 1, 13, 5, 23, 253, 121, 989, 1105, 3321, 3221, 6073, 21185}},
-{3265, 15, 12742, {1, 1, 3, 15, 13, 49, 121, 247, 247, 133, 485, 1067, 7875, 411, 7647}},
-{3266, 15, 12745, {1, 3, 7, 13, 31, 37, 127, 241, 145, 133, 53, 267, 2029, 3703, 16123}},
-{3267, 15, 12751, {1, 3, 1, 15, 15, 9, 15, 89, 35, 367, 401, 61, 1953, 7873, 17861}},
-{3268, 15, 12759, {1, 1, 1, 1, 1, 41, 71, 249, 213, 779, 1385, 1767, 999, 15151, 16647}},
-{3269, 15, 12763, {1, 3, 7, 13, 31, 23, 123, 235, 343, 949, 309, 3777, 3587, 853, 19779}},
-{3270, 15, 12769, {1, 1, 3, 13, 29, 35, 5, 37, 63, 757, 303, 1579, 3443, 243, 11873}},
-{3271, 15, 12781, {1, 3, 1, 9, 19, 49, 81, 53, 11, 901, 1857, 147, 3103, 14019, 21}},
-{3272, 15, 12793, {1, 3, 7, 13, 3, 39, 99, 99, 45, 91, 1567, 551, 3129, 4809, 29057}},
-{3273, 15, 12799, {1, 3, 7, 3, 3, 27, 17, 231, 377, 381, 1479, 2525, 2595, 2799, 25737}},
-{3274, 15, 12815, {1, 3, 5, 15, 15, 25, 103, 215, 301, 59, 1417, 981, 7579, 12731, 22329}},
-{3275, 15, 12824, {1, 1, 1, 13, 5, 31, 61, 31, 349, 925, 1301, 685, 435, 11567, 10715}},
-{3276, 15, 12836, {1, 1, 7, 9, 19, 57, 109, 1, 37, 377, 1015, 2273, 6741, 3191, 15949}},
-{3277, 15, 12845, {1, 3, 3, 13, 3, 23, 103, 127, 11, 59, 1847, 1175, 425, 3423, 20643}},
-{3278, 15, 12853, {1, 3, 3, 7, 3, 11, 105, 141, 55, 217, 1427, 477, 667, 9403, 11905}},
-{3279, 15, 12854, {1, 3, 3, 5, 3, 27, 11, 187, 495, 907, 1925, 445, 6639, 8159, 15225}},
-{3280, 15, 12857, {1, 3, 1, 5, 27, 31, 77, 213, 73, 343, 1123, 3609, 2431, 15329, 32165}},
-{3281, 15, 12866, {1, 1, 7, 5, 1, 11, 105, 139, 485, 1007, 709, 3509, 5231, 11717, 31433}},
-{3282, 15, 12872, {1, 1, 3, 15, 23, 49, 95, 169, 399, 1019, 19, 2013, 5311, 7951, 22609}},
-{3283, 15, 12875, {1, 3, 1, 7, 13, 3, 29, 203, 209, 701, 1791, 2615, 5351, 4237, 12565}},
-{3284, 15, 12878, {1, 3, 1, 15, 27, 11, 91, 31, 205, 205, 1683, 901, 5129, 6049, 11865}},
-{3285, 15, 12880, {1, 1, 7, 7, 27, 59, 21, 3, 209, 79, 769, 4013, 2041, 2645, 11561}},
-{3286, 15, 12885, {1, 3, 7, 11, 5, 45, 39, 243, 185, 871, 795, 1845, 8043, 6285, 20991}},
-{3287, 15, 12901, {1, 1, 5, 7, 13, 7, 15, 165, 349, 179, 789, 1269, 3787, 5429, 26567}},
-{3288, 15, 12902, {1, 3, 3, 13, 31, 23, 75, 41, 177, 735, 1889, 4039, 3519, 15003, 965}},
-{3289, 15, 12920, {1, 3, 1, 7, 15, 57, 15, 139, 27, 469, 1003, 691, 7893, 9643, 30983}},
-{3290, 15, 12926, {1, 3, 1, 13, 23, 27, 3, 237, 233, 875, 99, 883, 6167, 5463, 6245}},
-{3291, 15, 12929, {1, 1, 5, 13, 25, 57, 79, 51, 147, 619, 1147, 279, 6583, 1939, 477}},
-{3292, 15, 12939, {1, 3, 5, 5, 31, 61, 125, 163, 213, 699, 583, 3865, 615, 9707, 11651}},
-{3293, 15, 12941, {1, 1, 5, 1, 5, 21, 93, 239, 31, 641, 777, 27, 5247, 8993, 21053}},
-{3294, 15, 12950, {1, 3, 7, 9, 1, 13, 61, 57, 503, 453, 83, 3271, 2845, 1121, 18639}},
-{3295, 15, 12953, {1, 1, 7, 5, 29, 53, 13, 219, 379, 441, 821, 3179, 4877, 2535, 7557}},
-{3296, 15, 12992, {1, 1, 7, 13, 9, 53, 17, 183, 265, 393, 587, 2753, 6453, 7135, 24737}},
-{3297, 15, 13002, {1, 1, 1, 13, 11, 23, 73, 109, 393, 1013, 559, 755, 7291, 6631, 26509}},
-{3298, 15, 13010, {1, 3, 1, 5, 5, 15, 107, 103, 355, 307, 1559, 837, 5413, 5285, 17489}},
-{3299, 15, 13058, {1, 1, 5, 7, 17, 21, 21, 23, 109, 709, 1947, 3585, 3629, 4669, 949}},
-{3300, 15, 13072, {1, 3, 7, 1, 9, 33, 85, 147, 467, 259, 1913, 199, 7399, 9551, 22387}},
-{3301, 15, 13084, {1, 3, 5, 11, 15, 53, 23, 41, 249, 515, 1161, 2467, 1299, 7449, 2613}},
-{3302, 15, 13087, {1, 1, 5, 5, 5, 29, 91, 139, 487, 545, 321, 3035, 4545, 6747, 21673}},
-{3303, 15, 13091, {1, 1, 3, 13, 23, 49, 95, 103, 25, 119, 469, 2515, 2551, 841, 25089}},
-{3304, 15, 13097, {1, 1, 5, 7, 11, 31, 31, 197, 245, 715, 257, 4043, 8099, 11531, 5617}},
-{3305, 15, 13108, {1, 1, 3, 3, 19, 7, 9, 179, 103, 995, 191, 179, 3843, 5215, 27639}},
-{3306, 15, 13123, {1, 3, 1, 7, 23, 59, 25, 65, 399, 211, 1453, 3511, 7203, 16015, 32197}},
-{3307, 15, 13149, {1, 3, 3, 5, 9, 35, 109, 67, 197, 449, 643, 519, 5751, 15551, 11331}},
-{3308, 15, 13150, {1, 3, 5, 3, 1, 17, 53, 201, 265, 351, 467, 911, 1117, 7183, 20371}},
-{3309, 15, 13163, {1, 1, 7, 7, 27, 17, 93, 81, 227, 619, 1191, 735, 815, 12615, 2719}},
-{3310, 15, 13166, {1, 3, 1, 15, 19, 3, 83, 75, 343, 297, 1019, 3469, 4383, 13299, 29755}},
-{3311, 15, 13178, {1, 1, 5, 3, 13, 55, 119, 169, 85, 595, 299, 2469, 5625, 2877, 16117}},
-{3312, 15, 13180, {1, 1, 3, 5, 15, 17, 61, 161, 47, 393, 143, 867, 5517, 9495, 12795}},
-{3313, 15, 13184, {1, 3, 5, 1, 27, 31, 113, 125, 251, 687, 969, 1473, 2245, 6355, 13655}},
-{3314, 15, 13204, {1, 1, 1, 5, 5, 37, 29, 133, 443, 899, 277, 2353, 7223, 4459, 19159}},
-{3315, 15, 13238, {1, 1, 3, 9, 19, 27, 53, 145, 195, 167, 2045, 447, 1803, 1895, 8431}},
-{3316, 15, 13242, {1, 1, 3, 9, 5, 27, 91, 147, 233, 451, 475, 27, 4629, 16181, 16437}},
-{3317, 15, 13249, {1, 3, 5, 3, 29, 17, 53, 167, 433, 689, 1131, 2985, 1553, 11697, 6993}},
-{3318, 15, 13255, {1, 3, 3, 13, 21, 43, 69, 229, 399, 525, 179, 237, 7017, 5703, 17653}},
-{3319, 15, 13269, {1, 1, 3, 15, 13, 39, 75, 163, 229, 875, 197, 477, 3667, 15501, 15801}},
-{3320, 15, 13270, {1, 1, 7, 15, 15, 51, 81, 187, 487, 673, 865, 1915, 1009, 5935, 8097}},
-{3321, 15, 13274, {1, 3, 5, 5, 7, 3, 63, 77, 495, 815, 391, 2321, 1007, 15661, 30715}},
-{3322, 15, 13285, {1, 1, 7, 3, 17, 25, 83, 173, 173, 911, 1373, 2957, 4549, 15977, 17695}},
-{3323, 15, 13289, {1, 1, 7, 13, 13, 23, 77, 147, 497, 1003, 1687, 1795, 1393, 1881, 8479}},
-{3324, 15, 13298, {1, 3, 7, 11, 27, 43, 97, 25, 61, 457, 203, 2573, 5943, 15021, 4003}},
-{3325, 15, 13307, {1, 3, 3, 13, 9, 37, 37, 25, 219, 889, 1535, 2791, 4531, 13679, 12663}},
-{3326, 15, 13312, {1, 1, 3, 1, 17, 7, 51, 123, 89, 887, 1467, 1645, 3767, 6383, 30837}},
-{3327, 15, 13335, {1, 3, 3, 1, 21, 47, 5, 151, 83, 257, 569, 2711, 637, 12569, 16893}},
-{3328, 15, 13345, {1, 3, 7, 1, 31, 37, 73, 3, 115, 919, 1817, 2483, 4811, 15245, 4375}},
-{3329, 15, 13357, {1, 1, 1, 5, 1, 39, 39, 231, 9, 733, 455, 3383, 4777, 7235, 12631}},
-{3330, 15, 13366, {1, 1, 7, 9, 13, 25, 55, 25, 73, 59, 1699, 929, 755, 1279, 5583}},
-{3331, 15, 13372, {1, 3, 5, 3, 9, 49, 79, 55, 479, 179, 1159, 4079, 3503, 11603, 12361}},
-{3332, 15, 13380, {1, 1, 5, 9, 21, 45, 31, 163, 377, 817, 219, 147, 2581, 12769, 30783}},
-{3333, 15, 13384, {1, 3, 1, 7, 15, 27, 39, 189, 493, 259, 1663, 1213, 961, 11089, 16079}},
-{3334, 15, 13395, {1, 1, 5, 9, 5, 41, 13, 153, 313, 337, 1027, 1267, 4249, 13071, 27043}},
-{3335, 15, 13407, {1, 3, 7, 3, 13, 11, 23, 255, 51, 527, 317, 3217, 5037, 12723, 17411}},
-{3336, 15, 13408, {1, 1, 5, 1, 25, 57, 83, 97, 233, 513, 1283, 2675, 4111, 4111, 32141}},
-{3337, 15, 13413, {1, 3, 3, 15, 25, 33, 103, 81, 155, 189, 139, 1179, 2691, 15119, 13959}},
-{3338, 15, 13414, {1, 3, 3, 1, 25, 55, 67, 19, 19, 9, 437, 579, 4273, 10733, 7125}},
-{3339, 15, 13417, {1, 1, 1, 7, 23, 41, 47, 5, 435, 749, 595, 199, 3941, 7199, 4795}},
-{3340, 15, 13437, {1, 3, 1, 15, 5, 49, 35, 9, 199, 703, 1769, 3269, 5689, 13063, 22771}},
-{3341, 15, 13441, {1, 1, 5, 5, 21, 55, 125, 55, 63, 149, 1167, 3577, 1051, 3921, 20545}},
-{3342, 15, 13447, {1, 3, 7, 13, 29, 53, 107, 193, 163, 339, 1335, 1573, 5809, 5681, 29487}},
-{3343, 15, 13456, {1, 1, 1, 9, 17, 9, 91, 177, 211, 453, 1807, 1881, 6051, 225, 6021}},
-{3344, 15, 13459, {1, 1, 1, 13, 15, 1, 29, 43, 181, 105, 1945, 2313, 6429, 2901, 6221}},
-{3345, 15, 13461, {1, 3, 5, 11, 29, 55, 115, 115, 187, 1013, 697, 1885, 121, 12387, 32443}},
-{3346, 15, 13466, {1, 1, 1, 7, 19, 51, 21, 107, 55, 125, 1655, 2281, 3293, 15749, 27521}},
-{3347, 15, 13484, {1, 1, 7, 9, 19, 9, 81, 93, 139, 401, 193, 73, 5159, 9323, 6019}},
-{3348, 15, 13487, {1, 1, 7, 9, 15, 51, 115, 69, 247, 599, 1163, 2251, 1211, 8827, 15581}},
-{3349, 15, 13489, {1, 1, 7, 9, 5, 39, 75, 185, 321, 911, 849, 843, 6791, 10407, 10513}},
-{3350, 15, 13492, {1, 1, 5, 5, 15, 9, 21, 47, 459, 681, 2001, 1545, 5939, 7073, 29043}},
-{3351, 15, 13496, {1, 3, 1, 11, 13, 25, 53, 97, 487, 797, 567, 3757, 5597, 6313, 18531}},
-{3352, 15, 13510, {1, 1, 3, 3, 29, 55, 11, 219, 325, 591, 2015, 383, 2595, 11855, 22501}},
-{3353, 15, 13531, {1, 1, 1, 5, 15, 57, 33, 125, 323, 749, 1843, 4019, 2075, 6673, 6957}},
-{3354, 15, 13538, {1, 1, 5, 7, 19, 7, 47, 239, 51, 107, 1081, 467, 5493, 7617, 10355}},
-{3355, 15, 13543, {1, 3, 1, 1, 11, 3, 67, 199, 175, 421, 935, 309, 4449, 6363, 9183}},
-{3356, 15, 13547, {1, 1, 1, 7, 9, 33, 3, 219, 481, 513, 417, 1267, 2863, 765, 18431}},
-{3357, 15, 13572, {1, 3, 1, 1, 19, 1, 89, 109, 415, 105, 487, 3241, 7465, 9233, 16307}},
-{3358, 15, 13581, {1, 1, 3, 13, 9, 43, 25, 231, 383, 789, 1855, 691, 3465, 2387, 11715}},
-{3359, 15, 13590, {1, 3, 3, 3, 13, 39, 63, 107, 33, 265, 437, 117, 3179, 5543, 28179}},
-{3360, 15, 13605, {1, 3, 3, 13, 21, 5, 31, 111, 321, 425, 253, 3501, 3209, 15429, 18383}},
-{3361, 15, 13612, {1, 3, 5, 9, 1, 27, 117, 187, 433, 459, 1999, 1069, 4857, 8591, 26343}},
-{3362, 15, 13624, {1, 1, 7, 3, 15, 43, 11, 193, 391, 341, 1203, 1259, 7265, 1783, 13161}},
-{3363, 15, 13630, {1, 1, 7, 1, 5, 15, 45, 143, 193, 985, 1105, 3483, 2421, 9687, 22347}},
-{3364, 15, 13632, {1, 3, 7, 13, 21, 17, 79, 231, 487, 663, 1101, 1025, 5779, 14681, 29181}},
-{3365, 15, 13638, {1, 1, 3, 9, 15, 19, 55, 219, 27, 963, 1513, 1017, 3907, 12279, 32655}},
-{3366, 15, 13661, {1, 3, 7, 3, 31, 27, 17, 1, 51, 861, 529, 1225, 6395, 15787, 5231}},
-{3367, 15, 13665, {1, 3, 3, 11, 27, 7, 101, 143, 21, 191, 1437, 2393, 4097, 14319, 6977}},
-{3368, 15, 13668, {1, 3, 3, 3, 25, 35, 105, 141, 433, 269, 1469, 2939, 5387, 7373, 7863}},
-{3369, 15, 13686, {1, 3, 7, 5, 5, 21, 23, 11, 217, 357, 1847, 101, 1161, 5297, 14879}},
-{3370, 15, 13699, {1, 3, 1, 3, 25, 23, 81, 217, 505, 161, 1667, 1343, 1751, 2463, 26431}},
-{3371, 15, 13701, {1, 1, 3, 1, 17, 51, 125, 205, 385, 351, 731, 2911, 2749, 2689, 27031}},
-{3372, 15, 13708, {1, 1, 5, 5, 5, 17, 31, 171, 477, 671, 167, 1797, 8047, 10123, 4325}},
-{3373, 15, 13716, {1, 1, 7, 1, 11, 23, 123, 161, 99, 1007, 765, 1965, 5395, 16193, 17751}},
-{3374, 15, 13725, {1, 3, 1, 9, 13, 11, 111, 217, 31, 753, 377, 2267, 7893, 7195, 24999}},
-{3375, 15, 13730, {1, 3, 1, 9, 21, 53, 127, 121, 151, 395, 1447, 1411, 5179, 12043, 27607}},
-{3376, 15, 13742, {1, 1, 5, 3, 11, 37, 97, 139, 113, 835, 229, 3741, 827, 5527, 5779}},
-{3377, 15, 13747, {1, 1, 7, 7, 27, 55, 11, 55, 429, 269, 1179, 233, 1053, 10225, 16703}},
-{3378, 15, 13749, {1, 1, 1, 3, 15, 9, 67, 119, 95, 753, 511, 2507, 3953, 6403, 27635}},
-{3379, 15, 13753, {1, 3, 3, 7, 27, 57, 25, 27, 249, 515, 193, 4043, 2017, 751, 10949}},
-{3380, 15, 13754, {1, 3, 1, 9, 31, 57, 67, 21, 177, 573, 1835, 2015, 6201, 2383, 31087}},
-{3381, 15, 13771, {1, 1, 5, 1, 19, 3, 89, 243, 69, 387, 1905, 3465, 2775, 7713, 30081}},
-{3382, 15, 13773, {1, 1, 3, 3, 9, 59, 15, 89, 85, 605, 881, 263, 2551, 797, 16541}},
-{3383, 15, 13782, {1, 3, 7, 11, 25, 41, 59, 139, 405, 571, 1147, 2963, 4175, 12901, 6309}},
-{3384, 15, 13785, {1, 3, 1, 5, 29, 29, 11, 243, 183, 281, 807, 1, 7079, 10079, 13865}},
-{3385, 15, 13798, {1, 3, 7, 5, 5, 1, 89, 55, 423, 157, 675, 1849, 241, 6467, 15459}},
-{3386, 15, 13802, {1, 1, 7, 11, 15, 63, 89, 109, 501, 549, 317, 3043, 1151, 3895, 19851}},
-{3387, 15, 13809, {1, 3, 1, 15, 7, 23, 97, 97, 225, 737, 1117, 3325, 209, 14169, 10813}},
-{3388, 15, 13828, {1, 3, 7, 13, 13, 39, 91, 153, 395, 879, 1041, 3753, 5577, 1985, 25247}},
-{3389, 15, 13832, {1, 1, 1, 3, 17, 15, 113, 143, 101, 901, 1119, 1819, 3577, 3441, 31511}},
-{3390, 15, 13840, {1, 3, 1, 11, 15, 27, 21, 37, 287, 121, 451, 1353, 2173, 299, 18791}},
-{3391, 15, 13850, {1, 3, 3, 5, 23, 1, 49, 145, 315, 769, 99, 1385, 5961, 9121, 1465}},
-{3392, 15, 13861, {1, 3, 3, 13, 21, 39, 39, 233, 271, 113, 615, 2257, 3765, 5921, 313}},
-{3393, 15, 13874, {1, 3, 7, 7, 25, 45, 11, 237, 83, 203, 929, 1819, 2679, 11583, 30091}},
-{3394, 15, 13876, {1, 1, 1, 7, 21, 63, 85, 251, 133, 991, 1515, 2547, 6051, 7279, 3569}},
-{3395, 15, 13886, {1, 3, 7, 15, 11, 19, 87, 17, 313, 283, 1021, 2743, 4855, 13741, 17955}},
-{3396, 15, 13897, {1, 1, 7, 13, 29, 13, 61, 93, 81, 91, 995, 907, 4847, 2599, 20041}},
-{3397, 15, 13900, {1, 1, 3, 11, 13, 45, 103, 33, 243, 109, 2029, 121, 231, 16179, 13741}},
-{3398, 15, 13915, {1, 3, 5, 9, 9, 5, 73, 225, 199, 723, 611, 1909, 2345, 10257, 9909}},
-{3399, 15, 13927, {1, 1, 3, 11, 7, 5, 33, 89, 431, 899, 803, 3173, 6131, 16097, 20561}},
-{3400, 15, 13951, {1, 3, 3, 7, 7, 47, 23, 47, 411, 69, 239, 661, 5591, 10457, 24245}},
-{3401, 15, 13955, {1, 1, 5, 15, 25, 35, 87, 23, 115, 939, 1579, 119, 4001, 13791, 9729}},
-{3402, 15, 13962, {1, 3, 5, 11, 25, 45, 29, 195, 369, 237, 735, 155, 123, 4415, 32255}},
-{3403, 15, 13969, {1, 3, 3, 9, 13, 53, 15, 77, 313, 75, 529, 925, 5679, 14585, 19889}},
-{3404, 15, 13979, {1, 1, 7, 15, 15, 27, 105, 13, 31, 669, 563, 1809, 4321, 7797, 4177}},
-{3405, 15, 13988, {1, 1, 5, 9, 3, 29, 111, 177, 33, 235, 1951, 1561, 141, 4803, 16327}},
-{3406, 15, 13998, {1, 1, 1, 7, 9, 41, 1, 149, 95, 933, 115, 1619, 771, 8189, 8781}},
-{3407, 15, 14000, {1, 1, 5, 3, 13, 41, 33, 159, 355, 159, 1243, 1439, 6571, 14397, 31321}},
-{3408, 15, 14005, {1, 1, 7, 11, 9, 15, 91, 145, 457, 255, 1449, 611, 1449, 2521, 28949}},
-{3409, 15, 14027, {1, 3, 7, 5, 27, 57, 35, 99, 447, 287, 743, 1163, 4379, 7361, 3831}},
-{3410, 15, 14037, {1, 3, 3, 7, 15, 53, 41, 83, 133, 571, 1739, 531, 2921, 11527, 21941}},
-{3411, 15, 14051, {1, 1, 1, 13, 9, 27, 39, 113, 429, 447, 595, 3171, 5245, 4095, 14847}},
-{3412, 15, 14054, {1, 1, 3, 7, 19, 19, 21, 101, 489, 1011, 265, 3899, 3225, 11701, 5193}},
-{3413, 15, 14060, {1, 3, 7, 3, 15, 25, 103, 213, 441, 215, 1483, 263, 3561, 7915, 7969}},
-{3414, 15, 14063, {1, 3, 3, 3, 11, 47, 97, 29, 489, 867, 1347, 2155, 4871, 8001, 18305}},
-{3415, 15, 14071, {1, 3, 1, 9, 25, 15, 61, 17, 343, 775, 1765, 3803, 4577, 8437, 12605}},
-{3416, 15, 14078, {1, 1, 5, 3, 11, 39, 69, 23, 23, 65, 1967, 2429, 1703, 6671, 14981}},
-{3417, 15, 14080, {1, 1, 5, 15, 23, 59, 125, 51, 225, 439, 2019, 2589, 7781, 13111, 2911}},
-{3418, 15, 14085, {1, 1, 1, 3, 1, 31, 37, 245, 203, 305, 821, 367, 5211, 9791, 21777}},
-{3419, 15, 14086, {1, 1, 5, 9, 9, 31, 97, 25, 271, 83, 343, 2461, 1805, 14383, 10059}},
-{3420, 15, 14095, {1, 1, 5, 13, 15, 33, 127, 109, 137, 963, 961, 1647, 7881, 8133, 22359}},
-{3421, 15, 14138, {1, 1, 3, 7, 25, 31, 123, 241, 283, 1, 1781, 23, 971, 6485, 127}},
-{3422, 15, 14145, {1, 1, 5, 15, 15, 27, 25, 145, 395, 679, 979, 571, 1585, 14787, 7465}},
-{3423, 15, 14158, {1, 1, 5, 7, 13, 11, 7, 131, 511, 597, 379, 1513, 6267, 16039, 1503}},
-{3424, 15, 14166, {1, 1, 1, 13, 15, 49, 73, 217, 353, 577, 1913, 1127, 961, 11557, 24993}},
-{3425, 15, 14179, {1, 3, 3, 9, 7, 3, 105, 141, 377, 687, 1917, 485, 983, 11149, 23303}},
-{3426, 15, 14181, {1, 1, 3, 15, 11, 7, 117, 179, 505, 67, 1817, 913, 5757, 1981, 1637}},
-{3427, 15, 14188, {1, 1, 1, 7, 5, 29, 3, 43, 223, 295, 1895, 3425, 5355, 5155, 17197}},
-{3428, 15, 14193, {1, 1, 7, 9, 21, 59, 121, 245, 73, 233, 1527, 869, 4145, 7995, 6473}},
-{3429, 15, 14200, {1, 1, 5, 13, 17, 21, 89, 179, 495, 669, 453, 2603, 5969, 6161, 4743}},
-{3430, 15, 14203, {1, 1, 7, 11, 25, 21, 103, 131, 391, 249, 1633, 2603, 2207, 8987, 15487}},
-{3431, 15, 14215, {1, 3, 7, 9, 13, 45, 99, 251, 115, 597, 1505, 2421, 1231, 10015, 24295}},
-{3432, 15, 14224, {1, 1, 5, 5, 31, 49, 17, 67, 463, 813, 1491, 3309, 7881, 8109, 7289}},
-{3433, 15, 14230, {1, 3, 1, 15, 23, 35, 123, 21, 169, 499, 95, 603, 1829, 7865, 26313}},
-{3434, 15, 14233, {1, 1, 7, 1, 9, 29, 45, 65, 95, 97, 673, 3673, 2969, 2317, 22209}},
-{3435, 15, 14236, {1, 1, 3, 7, 29, 33, 121, 17, 331, 487, 1901, 1951, 5383, 9375, 4029}},
-{3436, 15, 14246, {1, 3, 7, 9, 25, 43, 91, 147, 141, 401, 1647, 2697, 4645, 7179, 31857}},
-{3437, 15, 14267, {1, 3, 5, 11, 9, 31, 127, 105, 39, 883, 1635, 919, 5069, 2875, 24519}},
-{3438, 15, 14282, {1, 1, 5, 9, 1, 63, 73, 135, 95, 503, 385, 3903, 545, 12635, 27569}},
-{3439, 15, 14287, {1, 1, 3, 11, 27, 31, 47, 173, 55, 339, 1255, 1947, 793, 14133, 13963}},
-{3440, 15, 14301, {1, 1, 3, 15, 17, 33, 113, 249, 401, 743, 1307, 3123, 627, 1253, 13285}},
-{3441, 15, 14323, {1, 1, 3, 1, 9, 7, 39, 65, 281, 107, 833, 193, 2987, 12267, 31335}},
-{3442, 15, 14325, {1, 1, 7, 3, 15, 21, 99, 211, 39, 179, 587, 1169, 6455, 8225, 2049}},
-{3443, 15, 14329, {1, 3, 5, 13, 5, 13, 123, 1, 223, 273, 731, 2967, 4793, 4229, 26031}},
-{3444, 15, 14339, {1, 1, 1, 1, 3, 17, 7, 23, 225, 757, 743, 1257, 2047, 12509, 25467}},
-{3445, 15, 14342, {1, 1, 7, 15, 29, 3, 15, 113, 227, 675, 1295, 2777, 2921, 5485, 2577}},
-{3446, 15, 14351, {1, 3, 7, 13, 19, 21, 85, 129, 45, 599, 317, 1513, 4953, 10383, 25253}},
-{3447, 15, 14356, {1, 1, 7, 11, 13, 47, 127, 67, 219, 131, 905, 2005, 851, 15243, 5777}},
-{3448, 15, 14359, {1, 1, 5, 3, 23, 57, 57, 189, 153, 37, 955, 2049, 1295, 15119, 27213}},
-{3449, 15, 14370, {1, 3, 7, 11, 13, 61, 3, 241, 269, 789, 1595, 2369, 4843, 11347, 21543}},
-{3450, 15, 14402, {1, 1, 5, 5, 25, 21, 19, 237, 3, 605, 1343, 3965, 3511, 7889, 27759}},
-{3451, 15, 14411, {1, 3, 1, 15, 21, 15, 123, 5, 345, 945, 283, 1313, 335, 2085, 19505}},
-{3452, 15, 14421, {1, 1, 3, 3, 5, 21, 123, 89, 67, 11, 1247, 1155, 287, 13455, 5693}},
-{3453, 15, 14431, {1, 3, 3, 13, 1, 53, 101, 27, 387, 379, 19, 751, 2445, 11737, 975}},
-{3454, 15, 14435, {1, 3, 3, 3, 9, 29, 81, 117, 443, 145, 1619, 1813, 8125, 5829, 28617}},
-{3455, 15, 14442, {1, 1, 5, 15, 27, 15, 83, 83, 61, 715, 1655, 1631, 3457, 2727, 2163}},
-{3456, 15, 14447, {1, 3, 1, 5, 11, 11, 121, 7, 135, 883, 927, 1817, 6839, 12361, 24119}},
-{3457, 15, 14456, {1, 3, 7, 11, 23, 59, 39, 165, 109, 355, 1303, 381, 5697, 275, 3771}},
-{3458, 15, 14459, {1, 3, 5, 11, 11, 5, 81, 157, 55, 435, 613, 127, 4087, 3791, 21627}},
-{3459, 15, 14472, {1, 3, 7, 15, 13, 37, 83, 195, 207, 771, 51, 3685, 6389, 1229, 11101}},
-{3460, 15, 14477, {1, 3, 7, 13, 31, 3, 9, 13, 487, 95, 77, 809, 5809, 12887, 29933}},
-{3461, 15, 14490, {1, 1, 3, 7, 25, 9, 13, 29, 353, 659, 1785, 3825, 3729, 13109, 12973}},
-{3462, 15, 14496, {1, 1, 1, 5, 21, 3, 97, 1, 245, 917, 29, 1429, 8141, 7569, 32493}},
-{3463, 15, 14501, {1, 3, 1, 9, 19, 13, 13, 109, 377, 1007, 1737, 1939, 1419, 1145, 5065}},
-{3464, 15, 14505, {1, 1, 7, 9, 27, 57, 53, 69, 423, 43, 1629, 1003, 1473, 10809, 5659}},
-{3465, 15, 14513, {1, 1, 1, 9, 1, 45, 11, 231, 351, 155, 663, 2783, 3491, 5725, 25207}},
-{3466, 15, 14520, {1, 1, 1, 3, 15, 25, 77, 89, 231, 813, 657, 2603, 4885, 1383, 14499}},
-{3467, 15, 14534, {1, 3, 5, 5, 9, 21, 101, 181, 449, 491, 737, 803, 659, 11771, 545}},
-{3468, 15, 14562, {1, 3, 7, 9, 7, 19, 27, 199, 265, 329, 1031, 1235, 3191, 10071, 16281}},
-{3469, 15, 14576, {1, 1, 7, 11, 27, 55, 3, 127, 503, 1003, 1041, 1953, 5835, 4851, 13485}},
-{3470, 15, 14579, {1, 1, 7, 15, 5, 45, 97, 61, 221, 497, 1949, 3163, 4707, 8441, 1437}},
-{3471, 15, 14585, {1, 3, 5, 1, 3, 35, 107, 9, 473, 971, 227, 2225, 3999, 3095, 18879}},
-{3472, 15, 14586, {1, 1, 1, 9, 21, 59, 21, 1, 41, 435, 575, 491, 1839, 1095, 9727}},
-{3473, 15, 14606, {1, 3, 5, 9, 13, 29, 123, 251, 465, 701, 1105, 829, 573, 11503, 11861}},
-{3474, 15, 14627, {1, 3, 3, 13, 27, 59, 29, 111, 225, 973, 561, 1481, 835, 9261, 13831}},
-{3475, 15, 14630, {1, 1, 1, 7, 17, 3, 97, 211, 333, 315, 571, 3523, 7305, 6461, 20139}},
-{3476, 15, 14634, {1, 3, 7, 11, 31, 21, 105, 247, 113, 863, 1767, 381, 4623, 8935, 7911}},
-{3477, 15, 14636, {1, 1, 5, 7, 29, 45, 17, 155, 69, 17, 655, 1983, 6385, 6177, 7961}},
-{3478, 15, 14647, {1, 3, 3, 15, 31, 15, 63, 81, 309, 115, 393, 3445, 689, 13963, 18887}},
-{3479, 15, 14653, {1, 1, 5, 1, 19, 39, 127, 61, 357, 53, 195, 2745, 7853, 5753, 3669}},
-{3480, 15, 14659, {1, 3, 7, 7, 17, 51, 57, 145, 451, 365, 1517, 909, 4265, 10737, 9579}},
-{3481, 15, 14671, {1, 1, 3, 13, 3, 37, 121, 103, 257, 47, 1685, 2951, 5753, 15379, 8899}},
-{3482, 15, 14674, {1, 1, 5, 7, 31, 63, 61, 197, 97, 773, 133, 1517, 3093, 14879, 22941}},
-{3483, 15, 14701, {1, 1, 5, 1, 3, 9, 27, 53, 97, 663, 1915, 409, 471, 1391, 24853}},
-{3484, 15, 14716, {1, 1, 1, 7, 21, 53, 69, 5, 187, 571, 2023, 997, 323, 12059, 7071}},
-{3485, 15, 14719, {1, 3, 3, 1, 7, 59, 55, 157, 101, 123, 1301, 3709, 4673, 3897, 28791}},
-{3486, 15, 14720, {1, 3, 7, 5, 5, 23, 39, 139, 365, 415, 1481, 3415, 6323, 11109, 5719}},
-{3487, 15, 14725, {1, 3, 5, 3, 5, 11, 23, 143, 243, 229, 183, 3367, 3187, 8151, 28351}},
-{3488, 15, 14730, {1, 3, 7, 9, 5, 37, 29, 23, 437, 827, 985, 2879, 7611, 1391, 19087}},
-{3489, 15, 14743, {1, 3, 3, 5, 7, 9, 5, 143, 217, 757, 1697, 2459, 453, 8679, 4513}},
-{3490, 15, 14747, {1, 3, 5, 5, 11, 33, 3, 143, 293, 921, 185, 2461, 5547, 12247, 28591}},
-{3491, 15, 14786, {1, 3, 7, 5, 3, 53, 43, 179, 235, 417, 1307, 1367, 3695, 12809, 1807}},
-{3492, 15, 14788, {1, 3, 1, 11, 15, 43, 115, 229, 157, 25, 687, 3347, 271, 5777, 8557}},
-{3493, 15, 14792, {1, 3, 7, 5, 27, 37, 55, 135, 209, 47, 1603, 957, 5785, 11141, 10407}},
-{3494, 15, 14795, {1, 1, 1, 15, 17, 17, 103, 29, 489, 493, 119, 1707, 3463, 1815, 32055}},
-{3495, 15, 14809, {1, 3, 7, 11, 17, 13, 115, 145, 77, 515, 1911, 477, 5997, 8731, 3143}},
-{3496, 15, 14831, {1, 3, 1, 13, 31, 41, 73, 91, 231, 1, 455, 2023, 4691, 3613, 16329}},
-{3497, 15, 14834, {1, 1, 5, 15, 15, 39, 17, 117, 131, 657, 1939, 2245, 2575, 195, 25209}},
-{3498, 15, 14850, {1, 3, 7, 15, 5, 51, 69, 141, 499, 931, 1165, 2119, 1703, 10867, 28443}},
-{3499, 15, 14855, {1, 1, 1, 15, 13, 45, 45, 103, 115, 177, 651, 2545, 1417, 5349, 3385}},
-{3500, 15, 14859, {1, 3, 3, 1, 1, 41, 117, 15, 225, 861, 843, 2775, 4543, 6275, 14671}},
-{3501, 15, 14864, {1, 3, 5, 15, 5, 35, 87, 193, 341, 55, 1131, 945, 6865, 11271, 18705}},
-{3502, 15, 14876, {1, 3, 5, 9, 13, 35, 71, 197, 79, 351, 3, 3939, 1105, 12455, 28921}},
-{3503, 15, 14889, {1, 3, 1, 13, 9, 23, 89, 165, 59, 257, 1369, 161, 6255, 2997, 19175}},
-{3504, 15, 14890, {1, 3, 5, 3, 5, 41, 107, 231, 111, 207, 1865, 2079, 5891, 2487, 5863}},
-{3505, 15, 14898, {1, 3, 7, 15, 3, 3, 105, 235, 263, 991, 367, 1885, 1769, 7805, 11909}},
-{3506, 15, 14909, {1, 3, 3, 5, 15, 59, 67, 247, 77, 367, 1641, 1959, 1921, 5939, 17355}},
-{3507, 15, 14917, {1, 1, 7, 1, 3, 53, 37, 5, 221, 779, 1353, 1633, 2769, 6355, 8505}},
-{3508, 15, 14924, {1, 1, 7, 13, 11, 13, 73, 227, 115, 523, 355, 3127, 7545, 8409, 22335}},
-{3509, 15, 14929, {1, 1, 5, 11, 21, 15, 91, 115, 427, 683, 461, 2433, 6313, 4595, 24401}},
-{3510, 15, 14942, {1, 3, 7, 5, 29, 21, 57, 215, 423, 717, 1455, 705, 6835, 4503, 26077}},
-{3511, 15, 14951, {1, 1, 1, 15, 3, 33, 25, 227, 381, 477, 1023, 2751, 2229, 631, 16903}},
-{3512, 15, 14969, {1, 3, 1, 11, 9, 17, 59, 73, 53, 671, 251, 1729, 7593, 12473, 22533}},
-{3513, 15, 14970, {1, 3, 3, 1, 3, 35, 37, 173, 459, 143, 135, 3871, 2689, 8007, 4379}},
-{3514, 15, 14972, {1, 3, 5, 9, 23, 19, 43, 45, 493, 509, 1851, 1615, 5675, 13793, 6973}},
-{3515, 15, 14982, {1, 3, 3, 15, 5, 17, 77, 85, 451, 753, 579, 1057, 4851, 6017, 4195}},
-{3516, 15, 14988, {1, 3, 3, 5, 31, 29, 81, 159, 103, 391, 15, 899, 4623, 5957, 31961}},
-{3517, 15, 14994, {1, 1, 1, 7, 17, 57, 81, 17, 177, 633, 49, 2793, 5229, 5995, 9491}},
-{3518, 15, 15005, {1, 1, 7, 15, 17, 19, 65, 57, 189, 239, 1229, 929, 2681, 12845, 29311}},
-{3519, 15, 15016, {1, 3, 1, 11, 13, 47, 61, 203, 383, 875, 943, 139, 4217, 8279, 1047}},
-{3520, 15, 15024, {1, 3, 7, 13, 23, 7, 1, 69, 47, 537, 1325, 3101, 685, 14057, 19953}},
-{3521, 15, 15030, {1, 3, 3, 1, 1, 7, 39, 77, 47, 755, 527, 2985, 5433, 15095, 27741}},
-{3522, 15, 15048, {1, 1, 7, 5, 23, 57, 79, 155, 81, 937, 1071, 3929, 1655, 3831, 17351}},
-{3523, 15, 15054, {1, 3, 7, 1, 3, 41, 13, 235, 207, 487, 1883, 2247, 1231, 2751, 15615}},
-{3524, 15, 15066, {1, 1, 7, 1, 21, 57, 95, 191, 119, 483, 283, 2221, 5665, 14819, 26097}},
-{3525, 15, 15071, {1, 3, 1, 1, 9, 59, 27, 51, 393, 31, 925, 715, 7705, 14885, 28767}},
-{3526, 15, 15072, {1, 1, 3, 3, 3, 61, 109, 131, 113, 249, 1331, 2521, 2973, 6375, 20093}},
-{3527, 15, 15075, {1, 3, 7, 9, 31, 37, 125, 245, 237, 245, 111, 379, 7495, 15531, 2325}},
-{3528, 15, 15119, {1, 3, 7, 13, 21, 21, 57, 21, 449, 969, 417, 2999, 509, 639, 7797}},
-{3529, 15, 15121, {1, 3, 7, 7, 7, 29, 11, 175, 55, 705, 891, 863, 3021, 10071, 10267}},
-{3530, 15, 15133, {1, 1, 3, 13, 19, 17, 127, 57, 449, 579, 337, 899, 1235, 11269, 4245}},
-{3531, 15, 15138, {1, 1, 1, 11, 29, 61, 35, 75, 249, 683, 287, 45, 3277, 7521, 2073}},
-{3532, 15, 15143, {1, 3, 5, 5, 15, 25, 77, 63, 63, 801, 1387, 1533, 2185, 10899, 28381}},
-{3533, 15, 15170, {1, 3, 1, 1, 21, 49, 3, 249, 419, 575, 87, 3749, 2523, 16125, 9483}},
-{3534, 15, 15194, {1, 1, 1, 11, 21, 43, 85, 211, 449, 439, 1495, 1841, 4765, 15253, 1467}},
-{3535, 15, 15212, {1, 3, 3, 15, 3, 37, 31, 243, 187, 995, 1103, 2723, 1523, 15967, 28649}},
-{3536, 15, 15223, {1, 1, 5, 11, 9, 11, 17, 87, 335, 125, 1079, 1657, 1237, 8059, 29833}},
-{3537, 15, 15229, {1, 3, 1, 3, 3, 41, 35, 37, 33, 61, 505, 3203, 5, 101, 8571}},
-{3538, 15, 15254, {1, 1, 3, 11, 9, 11, 85, 235, 261, 473, 109, 2127, 5745, 6389, 7431}},
-{3539, 15, 15263, {1, 1, 5, 15, 3, 55, 77, 97, 17, 193, 1267, 3063, 6531, 9797, 8639}},
-{3540, 15, 15270, {1, 1, 5, 5, 25, 41, 79, 83, 485, 697, 149, 1023, 89, 6115, 15227}},
-{3541, 15, 15273, {1, 1, 3, 15, 1, 9, 73, 251, 33, 599, 1017, 353, 4305, 16033, 29663}},
-{3542, 15, 15287, {1, 3, 7, 15, 3, 1, 89, 39, 125, 337, 1445, 3131, 3685, 9849, 25829}},
-{3543, 15, 15299, {1, 3, 7, 3, 19, 1, 63, 179, 349, 135, 185, 2977, 2527, 15087, 18133}},
-{3544, 15, 15301, {1, 1, 3, 3, 23, 7, 91, 221, 325, 723, 345, 81, 8077, 5501, 8453}},
-{3545, 15, 15306, {1, 1, 3, 9, 7, 3, 13, 173, 479, 161, 1989, 3255, 2069, 6717, 559}},
-{3546, 15, 15313, {1, 3, 3, 5, 9, 61, 93, 203, 277, 367, 1141, 981, 4745, 12625, 21003}},
-{3547, 15, 15320, {1, 3, 5, 5, 27, 17, 5, 211, 403, 701, 5, 3091, 4611, 5615, 23667}},
-{3548, 15, 15323, {1, 1, 3, 1, 21, 61, 125, 77, 57, 463, 1499, 791, 2087, 2805, 18829}},
-{3549, 15, 15329, {1, 3, 5, 3, 11, 41, 125, 231, 119, 837, 831, 1331, 7439, 2381, 3759}},
-{3550, 15, 15332, {1, 3, 1, 11, 19, 59, 117, 107, 443, 699, 315, 1491, 2581, 15871, 17159}},
-{3551, 15, 15341, {1, 3, 5, 11, 5, 9, 121, 35, 209, 877, 527, 3493, 4657, 16093, 17589}},
-{3552, 15, 15359, {1, 1, 7, 15, 9, 43, 119, 29, 381, 479, 1443, 3171, 5053, 9625, 21161}},
-{3553, 15, 15361, {1, 1, 3, 5, 15, 21, 31, 223, 83, 399, 1529, 3605, 6343, 10469, 10099}},
-{3554, 15, 15364, {1, 1, 3, 5, 5, 45, 23, 123, 353, 971, 85, 3069, 3245, 6569, 13241}},
-{3555, 15, 15367, {1, 1, 1, 3, 25, 49, 5, 77, 491, 881, 993, 1195, 7677, 5709, 10807}},
-{3556, 15, 15379, {1, 3, 3, 3, 5, 49, 127, 255, 183, 583, 1599, 987, 7281, 7149, 28507}},
-{3557, 15, 15391, {1, 1, 5, 1, 13, 55, 55, 157, 197, 25, 1971, 3161, 3903, 8919, 13563}},
-{3558, 15, 15415, {1, 3, 7, 9, 3, 37, 79, 193, 25, 103, 843, 2651, 6341, 2653, 24337}},
-{3559, 15, 15416, {1, 1, 7, 3, 25, 49, 99, 139, 45, 211, 2033, 2331, 7037, 7177, 1755}},
-{3560, 15, 15419, {1, 3, 7, 3, 5, 19, 127, 135, 403, 221, 141, 1065, 3935, 2745, 25979}},
-{3561, 15, 15433, {1, 1, 3, 3, 31, 23, 111, 37, 261, 7, 835, 2379, 7927, 8181, 23751}},
-{3562, 15, 15469, {1, 3, 7, 15, 1, 39, 79, 3, 103, 427, 1917, 809, 5039, 689, 1939}},
-{3563, 15, 15478, {1, 1, 1, 15, 29, 37, 39, 243, 149, 353, 763, 3405, 5751, 9441, 6653}},
-{3564, 15, 15481, {1, 3, 3, 11, 1, 57, 125, 151, 445, 423, 841, 2265, 5017, 15863, 13057}},
-{3565, 15, 15482, {1, 3, 5, 13, 11, 49, 61, 159, 211, 917, 561, 1903, 3985, 11117, 28969}},
-{3566, 15, 15498, {1, 3, 5, 13, 29, 5, 35, 51, 91, 291, 9, 3713, 3341, 4551, 12085}},
-{3567, 15, 15505, {1, 3, 3, 1, 1, 39, 111, 141, 319, 179, 1709, 1605, 5063, 13279, 10003}},
-{3568, 15, 15517, {1, 1, 3, 9, 7, 59, 91, 41, 343, 475, 1669, 2311, 5141, 12661, 25847}},
-{3569, 15, 15518, {1, 3, 5, 9, 9, 11, 49, 221, 1, 243, 791, 229, 503, 373, 19189}},
-{3570, 15, 15527, {1, 1, 5, 11, 17, 13, 45, 57, 215, 491, 1601, 2183, 3713, 429, 22007}},
-{3571, 15, 15528, {1, 1, 3, 11, 31, 61, 23, 237, 261, 955, 1085, 1541, 2601, 909, 7749}},
-{3572, 15, 15545, {1, 1, 3, 9, 13, 11, 121, 173, 177, 551, 1757, 2745, 2265, 4611, 743}},
-{3573, 15, 15548, {1, 1, 3, 15, 23, 43, 107, 239, 463, 369, 1857, 1073, 1247, 1029, 22557}},
-{3574, 15, 15554, {1, 1, 3, 11, 23, 35, 89, 93, 41, 941, 1141, 2339, 1423, 8007, 28685}},
-{3575, 15, 15565, {1, 3, 5, 13, 29, 7, 79, 15, 59, 145, 1237, 2215, 1257, 12621, 31101}},
-{3576, 15, 15577, {1, 1, 3, 7, 13, 55, 57, 229, 205, 1009, 341, 3901, 5189, 957, 32587}},
-{3577, 15, 15580, {1, 3, 7, 11, 1, 1, 41, 7, 365, 407, 1609, 1423, 6483, 5171, 32519}},
-{3578, 15, 15587, {1, 3, 7, 3, 17, 31, 125, 27, 125, 335, 1395, 2639, 329, 2549, 14449}},
-{3579, 15, 15601, {1, 3, 3, 7, 19, 45, 11, 73, 123, 179, 1685, 3385, 2379, 3387, 16793}},
-{3580, 15, 15604, {1, 3, 7, 5, 31, 25, 47, 153, 121, 453, 935, 3953, 2081, 12145, 24979}},
-{3581, 15, 15611, {1, 1, 7, 13, 25, 11, 65, 3, 277, 237, 1129, 1801, 4165, 9065, 18747}},
-{3582, 15, 15616, {1, 1, 7, 7, 13, 5, 37, 253, 507, 645, 1355, 3401, 6707, 6329, 11237}},
-{3583, 15, 15619, {1, 1, 3, 15, 17, 49, 3, 233, 407, 451, 69, 3859, 3171, 12303, 21031}},
-{3584, 15, 15625, {1, 1, 3, 3, 9, 53, 119, 117, 401, 903, 1449, 3639, 4083, 2095, 22085}},
-{3585, 15, 15633, {1, 3, 7, 15, 5, 61, 117, 193, 137, 431, 195, 4019, 3047, 5049, 14281}},
-{3586, 15, 15674, {1, 1, 1, 15, 17, 19, 29, 83, 449, 257, 1105, 1949, 1749, 3459, 6343}},
-{3587, 15, 15681, {1, 1, 1, 15, 23, 39, 61, 219, 109, 365, 863, 1813, 6673, 15999, 5101}},
-{3588, 15, 15691, {1, 1, 5, 5, 13, 11, 37, 151, 365, 719, 1233, 2425, 1285, 1721, 1205}},
-{3589, 15, 15693, {1, 3, 3, 3, 7, 53, 109, 153, 45, 425, 1741, 1229, 4405, 8071, 25155}},
-{3590, 15, 15696, {1, 3, 1, 1, 1, 13, 39, 49, 413, 77, 1367, 2553, 5563, 7659, 3467}},
-{3591, 15, 15712, {1, 1, 5, 9, 3, 49, 23, 11, 445, 121, 1505, 877, 4137, 1809, 2429}},
-{3592, 15, 15717, {1, 1, 1, 11, 21, 13, 93, 33, 493, 805, 775, 2939, 2961, 13625, 31879}},
-{3593, 15, 15724, {1, 1, 7, 5, 1, 59, 63, 131, 373, 23, 337, 2107, 5315, 4889, 22851}},
-{3594, 15, 15727, {1, 1, 3, 13, 21, 47, 15, 131, 353, 793, 1891, 1757, 5793, 1147, 23697}},
-{3595, 15, 15730, {1, 3, 5, 13, 7, 59, 25, 135, 259, 109, 1835, 429, 8153, 7355, 145}},
-{3596, 15, 15746, {1, 3, 3, 13, 9, 47, 121, 89, 89, 635, 1079, 2353, 4803, 11369, 12653}},
-{3597, 15, 15751, {1, 3, 5, 9, 23, 39, 49, 231, 105, 603, 613, 2021, 6073, 11819, 10595}},
-{3598, 15, 15760, {1, 3, 7, 7, 7, 19, 19, 155, 347, 387, 1459, 3793, 619, 14437, 2455}},
-{3599, 15, 15770, {1, 1, 1, 15, 21, 35, 19, 185, 483, 425, 479, 3429, 5403, 10791, 14219}},
-{3600, 15, 15782, {1, 1, 3, 11, 5, 51, 105, 63, 493, 677, 1457, 2865, 5619, 9321, 19583}},
-{3601, 15, 15791, {1, 1, 3, 3, 23, 1, 77, 177, 263, 289, 1567, 3837, 5359, 3269, 16023}},
-{3602, 15, 15796, {1, 1, 7, 3, 13, 61, 79, 77, 51, 953, 1417, 795, 4467, 2981, 25131}},
-{3603, 15, 15808, {1, 1, 5, 13, 23, 13, 29, 185, 337, 7, 149, 3609, 8119, 9545, 16579}},
-{3604, 15, 15814, {1, 3, 1, 5, 23, 9, 123, 15, 99, 55, 1021, 3709, 1521, 15189, 22193}},
-{3605, 15, 15825, {1, 3, 7, 9, 13, 41, 39, 45, 49, 181, 1587, 3213, 1037, 14775, 3333}},
-{3606, 15, 15828, {1, 1, 1, 7, 29, 55, 59, 31, 411, 601, 191, 283, 3211, 7951, 7919}},
-{3607, 15, 15835, {1, 1, 7, 7, 21, 47, 7, 193, 343, 831, 1267, 3289, 1015, 13093, 2717}},
-{3608, 15, 15844, {1, 3, 7, 1, 17, 9, 97, 19, 279, 827, 1699, 3573, 3137, 3535, 17791}},
-{3609, 15, 15847, {1, 1, 5, 11, 27, 15, 103, 135, 35, 625, 1575, 97, 7013, 13353, 19333}},
-{3610, 15, 15853, {1, 3, 3, 7, 17, 13, 49, 135, 435, 743, 1799, 2655, 4839, 2893, 31153}},
-{3611, 15, 15856, {1, 1, 5, 1, 3, 41, 1, 195, 53, 803, 1575, 2939, 3873, 10495, 5211}},
-{3612, 15, 15877, {1, 3, 1, 15, 19, 19, 37, 59, 355, 483, 685, 3899, 4645, 15127, 3479}},
-{3613, 15, 15878, {1, 1, 5, 3, 25, 9, 9, 229, 101, 631, 1165, 4091, 3723, 10655, 9463}},
-{3614, 15, 15887, {1, 3, 5, 15, 5, 13, 91, 61, 19, 469, 1675, 3331, 3121, 3435, 4111}},
-{3615, 15, 15908, {1, 1, 7, 1, 31, 61, 23, 83, 165, 551, 1097, 3825, 5385, 4723, 3635}},
-{3616, 15, 15917, {1, 3, 7, 15, 9, 31, 11, 121, 503, 855, 561, 1647, 1229, 1147, 15997}},
-{3617, 15, 15923, {1, 3, 7, 13, 21, 47, 41, 195, 197, 719, 1263, 3609, 7515, 2659, 30713}},
-{3618, 15, 15930, {1, 1, 1, 7, 31, 61, 101, 101, 479, 571, 605, 301, 6633, 15587, 23665}},
-{3619, 15, 15937, {1, 3, 7, 3, 25, 39, 35, 225, 135, 463, 53, 709, 5129, 4135, 10421}},
-{3620, 15, 15958, {1, 1, 5, 13, 19, 55, 107, 15, 163, 287, 673, 899, 5197, 4619, 3465}},
-{3621, 15, 15977, {1, 3, 3, 5, 21, 49, 15, 105, 283, 877, 1875, 1079, 3431, 13053, 26599}},
-{3622, 15, 15991, {1, 1, 7, 1, 1, 1, 95, 113, 119, 575, 1159, 2325, 6895, 12177, 4369}},
-{3623, 15, 16007, {1, 1, 1, 11, 25, 25, 83, 207, 301, 729, 1947, 2321, 3621, 15707, 11303}},
-{3624, 15, 16011, {1, 1, 5, 5, 7, 63, 83, 105, 211, 175, 1817, 2883, 5385, 7437, 24865}},
-{3625, 15, 16014, {1, 3, 7, 5, 23, 39, 19, 211, 151, 295, 573, 223, 5065, 6345, 23187}},
-{3626, 15, 16021, {1, 1, 7, 11, 15, 31, 89, 123, 57, 695, 685, 1799, 659, 9929, 22933}},
-{3627, 15, 16022, {1, 1, 7, 7, 19, 17, 27, 137, 117, 141, 1481, 869, 7061, 3073, 19671}},
-{3628, 15, 16028, {1, 3, 3, 11, 9, 19, 123, 93, 39, 517, 883, 3769, 2267, 8089, 6617}},
-{3629, 15, 16035, {1, 3, 1, 7, 9, 61, 51, 241, 319, 853, 1239, 899, 105, 1677, 29351}},
-{3630, 15, 16041, {1, 1, 7, 15, 13, 59, 85, 175, 223, 87, 905, 3175, 3405, 3489, 18475}},
-{3631, 15, 16056, {1, 1, 1, 15, 1, 55, 79, 97, 315, 605, 851, 4015, 3689, 9371, 31523}},
-{3632, 15, 16069, {1, 1, 5, 15, 1, 39, 91, 27, 211, 881, 1375, 2307, 5791, 10185, 23093}},
-{3633, 15, 16076, {1, 3, 1, 5, 3, 17, 59, 219, 105, 623, 21, 2843, 3427, 4799, 3793}},
-{3634, 15, 16081, {1, 3, 3, 7, 21, 55, 17, 29, 397, 93, 1981, 4047, 935, 5971, 14589}},
-{3635, 15, 16087, {1, 1, 3, 9, 5, 57, 63, 27, 373, 815, 167, 205, 367, 4945, 30041}},
-{3636, 15, 16088, {1, 1, 5, 9, 7, 3, 69, 35, 197, 309, 1729, 3735, 1523, 10427, 26253}},
-{3637, 15, 16110, {1, 1, 3, 7, 7, 49, 35, 189, 297, 311, 2025, 305, 3863, 14393, 2533}},
-{3638, 15, 16112, {1, 3, 3, 9, 17, 31, 5, 17, 167, 601, 909, 3149, 2533, 12123, 25325}},
-{3639, 15, 16117, {1, 3, 5, 3, 11, 41, 69, 199, 79, 611, 133, 3519, 5955, 4609, 27403}},
-{3640, 15, 16150, {1, 3, 3, 13, 3, 17, 53, 165, 361, 797, 1447, 869, 6707, 6541, 32249}},
-{3641, 15, 16153, {1, 3, 1, 1, 29, 47, 17, 45, 473, 199, 1595, 3095, 3635, 6965, 21859}},
-{3642, 15, 16160, {1, 1, 3, 9, 1, 15, 59, 163, 91, 811, 1087, 1707, 6743, 12643, 29901}},
-{3643, 15, 16166, {1, 1, 1, 3, 19, 21, 7, 209, 121, 821, 709, 1085, 5333, 7689, 28355}},
-{3644, 15, 16172, {1, 3, 1, 15, 5, 27, 115, 31, 37, 79, 1347, 155, 3709, 13251, 32151}},
-{3645, 15, 16190, {1, 3, 7, 15, 27, 27, 127, 231, 137, 205, 1665, 1461, 299, 2797, 879}},
-{3646, 15, 16195, {1, 1, 1, 7, 13, 3, 127, 13, 253, 481, 1435, 1895, 2665, 7611, 17761}},
-{3647, 15, 16204, {1, 1, 3, 7, 7, 21, 71, 247, 301, 183, 1785, 331, 4835, 2251, 4493}},
-{3648, 15, 16216, {1, 3, 7, 9, 9, 1, 77, 169, 103, 647, 1959, 1847, 5803, 3421, 15915}},
-{3649, 15, 16222, {1, 3, 1, 7, 19, 17, 81, 45, 263, 549, 1607, 2177, 1117, 14427, 16451}},
-{3650, 15, 16228, {1, 1, 7, 15, 27, 25, 27, 27, 33, 813, 1667, 253, 2749, 927, 29707}},
-{3651, 15, 16245, {1, 1, 7, 3, 17, 29, 13, 67, 417, 303, 19, 3809, 7225, 12775, 3933}},
-{3652, 15, 16255, {1, 1, 1, 11, 13, 41, 77, 217, 281, 659, 1099, 3047, 1619, 525, 4313}},
-{3653, 15, 16265, {1, 3, 3, 9, 23, 47, 5, 33, 219, 531, 77, 2307, 1893, 8335, 8281}},
-{3654, 15, 16273, {1, 3, 7, 3, 3, 35, 27, 249, 159, 495, 431, 3001, 1475, 11505, 15693}},
-{3655, 15, 16276, {1, 1, 5, 9, 21, 49, 43, 159, 465, 959, 179, 993, 121, 11569, 21027}},
-{3656, 15, 16283, {1, 3, 1, 5, 1, 61, 9, 221, 231, 55, 191, 2829, 3331, 8911, 15109}},
-{3657, 15, 16295, {1, 1, 7, 1, 7, 35, 67, 97, 159, 191, 935, 3151, 6397, 10751, 1835}},
-{3658, 15, 16304, {1, 1, 1, 7, 15, 39, 127, 163, 437, 333, 829, 753, 8151, 13239, 523}},
-{3659, 15, 16313, {1, 1, 3, 13, 9, 25, 73, 155, 445, 239, 2035, 15, 5243, 15531, 1733}},
-{3660, 15, 16319, {1, 3, 7, 15, 5, 25, 3, 55, 117, 57, 783, 1509, 7043, 13159, 8557}},
-{3661, 15, 16328, {1, 3, 5, 1, 21, 55, 89, 119, 199, 79, 161, 1597, 3263, 3335, 5757}},
-{3662, 15, 16345, {1, 3, 7, 5, 27, 23, 85, 113, 111, 211, 389, 1513, 2759, 7945, 931}},
-{3663, 15, 16355, {1, 1, 1, 7, 1, 5, 17, 177, 357, 619, 5, 2583, 621, 2973, 28845}},
-{3664, 15, 16364, {1, 3, 7, 13, 11, 21, 47, 99, 421, 279, 1541, 1305, 4571, 6127, 20735}},
-{3665, 15, 16372, {1, 3, 5, 5, 23, 43, 19, 137, 425, 409, 1625, 2671, 4385, 3197, 25753}},
-{3666, 15, 16375, {1, 1, 7, 5, 27, 17, 57, 15, 383, 181, 951, 2115, 5237, 1495, 9671}},
-{3667, 15, 16382, {1, 3, 3, 11, 9, 1, 53, 127, 375, 499, 1487, 121, 1465, 3175, 24337}},
-{3668, 16, 22, {1, 3, 7, 11, 29, 35, 67, 129, 221, 439, 1159, 3501, 7741, 8885, 11381, 20707}},
-{3669, 16, 28, {1, 3, 5, 11, 29, 59, 23, 117, 343, 637, 1825, 1687, 2823, 11641, 3311, 23603}},
-{3670, 16, 31, {1, 1, 5, 11, 1, 35, 103, 155, 233, 575, 1761, 503, 4175, 6105, 29737, 32681}},
-{3671, 16, 41, {1, 3, 3, 1, 5, 63, 27, 71, 245, 433, 1779, 2475, 5479, 4705, 10795, 34247}},
-{3672, 16, 94, {1, 3, 5, 7, 29, 45, 117, 5, 393, 849, 843, 3131, 6995, 9979, 28907, 30115}},
-{3673, 16, 107, {1, 3, 5, 9, 27, 29, 69, 5, 395, 561, 1531, 409, 2779, 8785, 16405, 27315}},
-{3674, 16, 151, {1, 3, 1, 9, 15, 29, 85, 3, 331, 19, 1941, 567, 6957, 747, 1627, 11347}},
-{3675, 16, 158, {1, 1, 3, 9, 27, 45, 47, 127, 133, 921, 1817, 2231, 6333, 14371, 12799, 9831}},
-{3676, 16, 167, {1, 1, 5, 15, 31, 7, 125, 13, 455, 159, 331, 3629, 4705, 11261, 3657, 36307}},
-{3677, 16, 174, {1, 1, 5, 9, 11, 53, 51, 35, 87, 885, 1975, 3899, 1013, 7667, 32385, 33635}},
-{3678, 16, 203, {1, 1, 1, 3, 7, 45, 107, 177, 193, 765, 731, 139, 5563, 623, 16485, 54999}},
-{3679, 16, 208, {1, 1, 5, 9, 17, 53, 117, 69, 385, 587, 1483, 149, 2769, 3013, 18183, 10173}},
-{3680, 16, 214, {1, 1, 5, 11, 5, 3, 25, 153, 351, 749, 801, 3077, 3209, 11189, 25241, 14115}},
-{3681, 16, 223, {1, 1, 7, 9, 1, 47, 41, 247, 135, 163, 899, 1517, 5647, 10595, 32531, 12497}},
-{3682, 16, 227, {1, 3, 5, 11, 5, 61, 111, 215, 251, 279, 825, 2155, 3527, 173, 10973, 59257}},
-{3683, 16, 266, {1, 3, 5, 11, 25, 15, 71, 83, 135, 231, 1415, 3761, 7513, 8337, 28979, 43615}},
-{3684, 16, 268, {1, 3, 5, 13, 19, 5, 55, 165, 141, 119, 1891, 2255, 4735, 16217, 26195, 50527}},
-{3685, 16, 274, {1, 1, 7, 15, 23, 59, 59, 191, 1, 855, 453, 2619, 5013, 14749, 24335, 44339}},
-{3686, 16, 279, {1, 1, 1, 13, 15, 41, 51, 147, 229, 495, 1191, 867, 1525, 581, 29713, 26391}},
-{3687, 16, 302, {1, 1, 1, 9, 29, 5, 59, 127, 105, 417, 301, 2249, 6335, 3513, 17373, 52977}},
-{3688, 16, 310, {1, 1, 3, 7, 21, 27, 109, 143, 63, 347, 1429, 2889, 2597, 10243, 9913, 22687}},
-{3689, 16, 322, {1, 3, 5, 5, 7, 3, 125, 147, 313, 351, 1163, 415, 5615, 5571, 7089, 55621}},
-{3690, 16, 328, {1, 3, 3, 3, 31, 43, 101, 93, 9, 671, 135, 333, 2169, 11169, 7403, 50707}},
-{3691, 16, 336, {1, 1, 7, 13, 15, 33, 125, 155, 227, 827, 1047, 2441, 3007, 10881, 19969, 63805}},
-{3692, 16, 370, {1, 3, 3, 5, 31, 33, 29, 249, 159, 797, 1475, 841, 6933, 6417, 25629, 61865}},
-{3693, 16, 398, {1, 3, 3, 15, 11, 55, 11, 117, 149, 911, 1589, 3133, 6477, 6123, 10471, 41099}},
-{3694, 16, 421, {1, 3, 3, 9, 27, 37, 1, 119, 509, 969, 831, 3771, 2093, 13621, 31737, 43269}},
-{3695, 16, 436, {1, 1, 1, 1, 9, 23, 119, 109, 487, 753, 1673, 2163, 3349, 4741, 29971, 3407}},
-{3696, 16, 440, {1, 3, 3, 7, 25, 7, 67, 9, 461, 631, 651, 2271, 5663, 2621, 3953, 20975}},
-{3697, 16, 451, {1, 1, 5, 11, 13, 31, 29, 255, 371, 517, 845, 3649, 1187, 10061, 22887, 58417}},
-{3698, 16, 454, {1, 3, 5, 13, 29, 1, 11, 137, 151, 249, 167, 1243, 997, 11023, 11875, 42315}},
-{3699, 16, 463, {1, 1, 5, 5, 5, 55, 103, 71, 255, 1023, 209, 1005, 2147, 11527, 17863, 6661}},
-{3700, 16, 465, {1, 1, 3, 3, 31, 39, 7, 151, 353, 775, 1313, 1257, 4197, 2625, 9571, 27269}},
-{3701, 16, 494, {1, 1, 1, 3, 7, 17, 3, 127, 501, 503, 1879, 2329, 3049, 10603, 2111, 33189}},
-{3702, 16, 508, {1, 3, 3, 7, 13, 59, 93, 13, 375, 483, 1991, 2257, 3003, 1699, 4339, 51827}},
-{3703, 16, 532, {1, 3, 7, 15, 27, 41, 59, 225, 405, 807, 1545, 2581, 1173, 14137, 3413, 39299}},
-{3704, 16, 555, {1, 1, 1, 3, 9, 23, 37, 123, 465, 1023, 1065, 1455, 5107, 3839, 20451, 11461}},
-{3705, 16, 563, {1, 1, 1, 11, 19, 55, 91, 121, 317, 199, 215, 3031, 7223, 11891, 21463, 64921}},
-{3706, 16, 577, {1, 3, 7, 11, 19, 5, 5, 115, 399, 219, 71, 1465, 281, 14451, 26807, 42541}},
-{3707, 16, 580, {1, 3, 5, 13, 3, 33, 75, 35, 19, 559, 761, 947, 7479, 15325, 31453, 20561}},
-{3708, 16, 584, {1, 3, 3, 13, 23, 47, 99, 73, 331, 353, 401, 1737, 6235, 13781, 5547, 56443}},
-{3709, 16, 607, {1, 3, 3, 13, 21, 37, 41, 205, 87, 399, 51, 3175, 7403, 12875, 21129, 7079}},
-{3710, 16, 608, {1, 3, 5, 11, 15, 47, 33, 39, 465, 871, 277, 2351, 695, 1953, 24293, 20595}},
-{3711, 16, 665, {1, 1, 7, 11, 13, 15, 115, 59, 469, 715, 191, 1927, 905, 13463, 29005, 46789}},
-{3712, 16, 675, {1, 3, 5, 9, 13, 55, 79, 17, 265, 887, 905, 3985, 6907, 3379, 20055, 58569}},
-{3713, 16, 692, {1, 1, 7, 11, 21, 29, 23, 109, 17, 427, 1623, 2219, 3857, 3709, 25033, 63823}},
-{3714, 16, 707, {1, 3, 5, 15, 19, 27, 113, 15, 25, 63, 1885, 2693, 5301, 9385, 14137, 26097}},
-{3715, 16, 737, {1, 3, 3, 11, 17, 5, 73, 143, 79, 957, 461, 1709, 4909, 2285, 18113, 8401}},
-{3716, 16, 750, {1, 1, 3, 7, 9, 9, 101, 127, 137, 755, 1359, 1965, 83, 13335, 27763, 7941}},
-{3717, 16, 757, {1, 1, 1, 3, 13, 61, 95, 61, 295, 615, 555, 2163, 8155, 14043, 21465, 46741}},
-{3718, 16, 800, {1, 1, 1, 13, 29, 19, 111, 17, 373, 153, 1703, 2199, 7209, 15845, 1879, 7493}},
-{3719, 16, 805, {1, 3, 1, 13, 21, 51, 49, 51, 255, 151, 207, 1915, 7629, 2705, 8739, 7467}},
-{3720, 16, 809, {1, 3, 7, 5, 21, 21, 23, 193, 467, 739, 519, 2315, 2953, 10633, 9163, 6007}},
-{3721, 16, 837, {1, 3, 1, 5, 23, 19, 23, 247, 93, 297, 1089, 2349, 4683, 13609, 7615, 18647}},
-{3722, 16, 865, {1, 1, 3, 3, 21, 39, 19, 71, 93, 1, 133, 3531, 7503, 2819, 24211, 1739}},
-{3723, 16, 949, {1, 3, 5, 13, 9, 43, 31, 111, 493, 739, 705, 2715, 3613, 11877, 27945, 46053}},
-{3724, 16, 950, {1, 1, 7, 13, 27, 59, 103, 129, 53, 531, 1379, 1441, 5341, 14937, 5079, 39881}},
-{3725, 16, 956, {1, 1, 3, 3, 11, 63, 91, 95, 433, 393, 715, 809, 591, 4141, 17417, 54107}},
-{3726, 16, 961, {1, 3, 5, 1, 7, 25, 25, 175, 205, 803, 183, 1441, 1279, 2753, 20001, 56677}},
-{3727, 16, 1016, {1, 1, 5, 3, 13, 23, 77, 25, 133, 137, 1907, 1313, 2463, 14339, 13, 57757}},
-{3728, 16, 1030, {1, 1, 5, 9, 23, 35, 1, 119, 111, 61, 403, 1815, 1985, 5651, 10883, 55943}},
-{3729, 16, 1072, {1, 3, 1, 7, 21, 43, 115, 7, 107, 719, 759, 1521, 467, 8735, 29785, 63821}},
-{3730, 16, 1119, {1, 1, 3, 13, 19, 17, 51, 141, 399, 569, 703, 2221, 2809, 13355, 1907, 15837}},
-{3731, 16, 1130, {1, 1, 5, 15, 15, 53, 57, 31, 481, 69, 1439, 4049, 6727, 11307, 20683, 63517}},
-{3732, 16, 1135, {1, 1, 1, 3, 13, 27, 9, 255, 363, 131, 1745, 2489, 6451, 6585, 12873, 35405}},
-{3733, 16, 1137, {1, 3, 5, 1, 17, 31, 113, 135, 449, 915, 1017, 2317, 6821, 5483, 30707, 45279}},
-{3734, 16, 1144, {1, 3, 5, 1, 13, 47, 25, 53, 413, 545, 1777, 3049, 7527, 9689, 25935, 9919}},
-{3735, 16, 1149, {1, 3, 7, 11, 17, 39, 13, 131, 295, 517, 1755, 2977, 6267, 12351, 8957, 17765}},
-{3736, 16, 1180, {1, 1, 7, 5, 27, 57, 47, 21, 125, 429, 1169, 1717, 5455, 16359, 29065, 6671}},
-{3737, 16, 1214, {1, 1, 5, 5, 21, 15, 79, 241, 83, 515, 859, 2351, 3125, 7465, 30475, 19759}},
-{3738, 16, 1221, {1, 3, 1, 9, 11, 5, 81, 11, 7, 221, 141, 3329, 3435, 323, 18999, 54735}},
-{3739, 16, 1234, {1, 1, 1, 15, 7, 57, 87, 251, 63, 561, 929, 1367, 2511, 14527, 9335, 38775}},
-{3740, 16, 1239, {1, 3, 3, 9, 23, 37, 59, 105, 179, 515, 235, 2445, 433, 13039, 27005, 48829}},
-{3741, 16, 1249, {1, 1, 1, 1, 23, 37, 103, 31, 89, 921, 1687, 831, 387, 10237, 1241, 19295}},
-{3742, 16, 1250, {1, 3, 3, 7, 25, 23, 57, 251, 309, 579, 603, 807, 7383, 8579, 4025, 16757}},
-{3743, 16, 1267, {1, 1, 3, 15, 23, 59, 29, 33, 467, 641, 1271, 2915, 2549, 14767, 26557, 43483}},
-{3744, 16, 1273, {1, 1, 7, 13, 1, 57, 23, 129, 321, 75, 189, 4087, 5011, 4355, 25759, 37153}},
-{3745, 16, 1342, {1, 1, 5, 1, 21, 57, 25, 183, 37, 669, 259, 1381, 877, 10245, 16643, 61035}},
-{3746, 16, 1344, {1, 1, 7, 5, 11, 11, 85, 141, 393, 957, 1745, 2243, 1681, 5583, 16527, 12017}},
-{3747, 16, 1373, {1, 1, 5, 15, 23, 31, 5, 169, 287, 527, 1831, 2937, 7533, 9739, 24305, 2239}},
-{3748, 16, 1378, {1, 1, 7, 1, 7, 13, 3, 243, 189, 309, 607, 3659, 6369, 7649, 24255, 55373}},
-{3749, 16, 1408, {1, 1, 1, 3, 3, 59, 103, 209, 287, 913, 1223, 1063, 7715, 6073, 26697, 25671}},
-{3750, 16, 1417, {1, 3, 7, 5, 19, 19, 117, 191, 275, 637, 991, 2199, 2921, 10553, 21211, 25981}},
-{3751, 16, 1418, {1, 3, 3, 5, 29, 59, 17, 13, 127, 57, 1405, 3181, 2237, 1795, 21419, 43421}},
-{3752, 16, 1448, {1, 1, 1, 15, 25, 41, 11, 117, 463, 425, 305, 1441, 4307, 7967, 17529, 4043}},
-{3753, 16, 1454, {1, 3, 5, 5, 19, 53, 69, 73, 453, 611, 1583, 1721, 6303, 10561, 18527, 48973}},
-{3754, 16, 1510, {1, 1, 7, 11, 15, 61, 87, 69, 463, 771, 819, 469, 8165, 8897, 29657, 55161}},
-{3755, 16, 1513, {1, 1, 5, 1, 15, 25, 23, 47, 287, 457, 1219, 473, 4127, 3349, 9425, 41541}},
-{3756, 16, 1522, {1, 3, 7, 5, 17, 17, 33, 161, 239, 231, 241, 1297, 4879, 12761, 20939, 65261}},
-{3757, 16, 1543, {1, 3, 3, 9, 19, 53, 95, 89, 117, 333, 1815, 2217, 7779, 8213, 4667, 58395}},
-{3758, 16, 1550, {1, 3, 3, 9, 17, 7, 41, 99, 371, 797, 729, 2851, 2003, 4463, 20793, 54315}},
-{3759, 16, 1552, {1, 3, 5, 5, 23, 39, 19, 235, 163, 365, 141, 791, 455, 2761, 9115, 53351}},
-{3760, 16, 1588, {1, 3, 3, 3, 9, 27, 29, 139, 165, 867, 2023, 1333, 3771, 10451, 9141, 41177}},
-{3761, 16, 1592, {1, 1, 3, 7, 3, 11, 125, 157, 355, 519, 187, 3381, 1151, 1629, 25247, 42797}},
-{3762, 16, 1597, {1, 3, 3, 3, 21, 25, 37, 155, 257, 311, 961, 1945, 1383, 5679, 7857, 7183}},
-{3763, 16, 1606, {1, 3, 3, 5, 29, 11, 49, 125, 171, 605, 1923, 2781, 2555, 5063, 5075, 43301}},
-{3764, 16, 1610, {1, 3, 5, 9, 27, 1, 27, 149, 253, 205, 1299, 2901, 2891, 975, 7641, 8115}},
-{3765, 16, 1617, {1, 3, 5, 3, 31, 7, 49, 215, 81, 791, 1485, 837, 5051, 1947, 7521, 25723}},
-{3766, 16, 1623, {1, 3, 5, 7, 23, 25, 69, 13, 3, 859, 441, 3577, 1687, 6559, 8687, 46757}},
-{3767, 16, 1657, {1, 1, 1, 9, 1, 59, 3, 31, 251, 187, 617, 2607, 4635, 6121, 8565, 8871}},
-{3768, 16, 1697, {1, 3, 3, 9, 29, 37, 127, 87, 153, 633, 1691, 2729, 3167, 3219, 21237, 25573}},
-{3769, 16, 1729, {1, 1, 5, 13, 19, 63, 93, 235, 299, 621, 405, 663, 6639, 12265, 9303, 42719}},
-{3770, 16, 1735, {1, 1, 3, 9, 25, 11, 9, 231, 101, 335, 1793, 1497, 7069, 4171, 30199, 63}},
-{3771, 16, 1769, {1, 1, 1, 1, 5, 19, 17, 217, 165, 413, 925, 1409, 6559, 14537, 22057, 44331}},
-{3772, 16, 1778, {1, 1, 3, 7, 11, 51, 45, 217, 57, 795, 951, 2933, 6705, 137, 30525, 9679}},
-{3773, 16, 1826, {1, 1, 3, 15, 27, 47, 35, 125, 363, 619, 1027, 2861, 3923, 10459, 16789, 27277}},
-{3774, 16, 1858, {1, 1, 7, 7, 13, 37, 33, 29, 385, 851, 143, 119, 7345, 4251, 25121, 31609}},
-{3775, 16, 1870, {1, 3, 1, 1, 17, 25, 119, 7, 365, 397, 601, 2087, 6903, 15345, 14671, 37889}},
-{3776, 16, 1875, {1, 3, 1, 13, 19, 51, 41, 139, 133, 723, 25, 2621, 1257, 7037, 9527, 50037}},
-{3777, 16, 1922, {1, 1, 5, 11, 5, 59, 119, 75, 397, 545, 1095, 585, 3271, 1049, 123, 33029}},
-{3778, 16, 1924, {1, 1, 7, 11, 9, 27, 21, 197, 177, 31, 453, 2457, 2733, 7787, 1923, 24639}},
-{3779, 16, 1933, {1, 1, 7, 13, 29, 13, 91, 91, 243, 279, 601, 1699, 7169, 4727, 7815, 29099}},
-{3780, 16, 1972, {1, 3, 7, 5, 1, 35, 27, 235, 163, 913, 1479, 769, 7179, 1983, 25977, 55373}},
-{3781, 16, 1979, {1, 3, 5, 11, 9, 33, 99, 141, 301, 109, 1785, 129, 1707, 5181, 4797, 9979}},
-{3782, 16, 1987, {1, 1, 1, 13, 3, 47, 89, 43, 293, 87, 1689, 3885, 7747, 5607, 477, 31887}},
-{3783, 16, 1994, {1, 1, 5, 1, 9, 21, 73, 37, 45, 621, 1855, 3691, 4899, 2191, 13459, 23543}},
-{3784, 16, 2008, {1, 1, 1, 1, 7, 39, 61, 125, 341, 905, 213, 1755, 241, 13407, 8791, 10165}},
-{3785, 16, 2023, {1, 1, 1, 1, 19, 31, 79, 19, 55, 875, 1017, 1787, 4879, 533, 15029, 52295}},
-{3786, 16, 2029, {1, 3, 1, 1, 9, 59, 113, 71, 113, 649, 561, 71, 5253, 783, 7389, 19361}},
-{3787, 16, 2053, {1, 1, 1, 11, 5, 39, 61, 225, 291, 907, 795, 1099, 597, 11829, 15137, 42865}},
-{3788, 16, 2081, {1, 3, 1, 5, 25, 11, 71, 155, 271, 309, 1981, 1253, 463, 1133, 20833, 48625}},
-{3789, 16, 2087, {1, 3, 5, 9, 7, 41, 87, 241, 457, 899, 1493, 3675, 3025, 10607, 22569, 52813}},
-{3790, 16, 2094, {1, 3, 7, 13, 7, 37, 37, 103, 281, 915, 1259, 4049, 559, 173, 4123, 63767}},
-{3791, 16, 2111, {1, 3, 7, 15, 13, 57, 9, 51, 39, 549, 1431, 2887, 1081, 4643, 16331, 14221}},
-{3792, 16, 2113, {1, 3, 5, 7, 13, 1, 101, 125, 25, 713, 1423, 513, 3323, 9951, 7163, 20969}},
-{3793, 16, 2114, {1, 1, 7, 15, 11, 25, 25, 3, 47, 531, 1529, 471, 6191, 10051, 29671, 49085}},
-{3794, 16, 2123, {1, 1, 3, 5, 23, 51, 117, 141, 55, 275, 761, 1923, 6267, 2291, 3701, 26615}},
-{3795, 16, 2190, {1, 1, 7, 9, 15, 19, 111, 65, 137, 373, 1753, 3591, 1137, 11639, 28591, 27265}},
-{3796, 16, 2231, {1, 3, 1, 15, 29, 5, 67, 13, 425, 961, 453, 2481, 1407, 3479, 23303, 30407}},
-{3797, 16, 2276, {1, 1, 5, 3, 19, 39, 39, 123, 351, 77, 1339, 1765, 3767, 1907, 13627, 23877}},
-{3798, 16, 2285, {1, 3, 5, 9, 23, 7, 103, 177, 221, 197, 561, 2121, 7231, 12053, 30127, 29849}},
-{3799, 16, 2297, {1, 1, 5, 7, 15, 1, 3, 123, 197, 493, 171, 2425, 3865, 4061, 31883, 2491}},
-{3800, 16, 2336, {1, 1, 3, 13, 29, 33, 99, 67, 327, 969, 1793, 1871, 1839, 13059, 7605, 16797}},
-{3801, 16, 2345, {1, 3, 5, 11, 25, 53, 25, 93, 303, 623, 1889, 1471, 1213, 14459, 8527, 25095}},
-{3802, 16, 2353, {1, 1, 1, 13, 15, 3, 115, 3, 289, 743, 1855, 359, 2375, 13765, 19711, 40765}},
-{3803, 16, 2363, {1, 1, 7, 11, 27, 51, 85, 163, 219, 871, 637, 2011, 5981, 587, 17521, 17333}},
-{3804, 16, 2368, {1, 3, 5, 1, 21, 59, 49, 39, 305, 513, 2017, 285, 5817, 13123, 27765, 46741}},
-{3805, 16, 2373, {1, 3, 3, 7, 21, 39, 71, 163, 423, 845, 783, 397, 7319, 10677, 13407, 47471}},
-{3806, 16, 2391, {1, 3, 7, 5, 21, 59, 99, 179, 473, 687, 1393, 723, 2245, 2933, 25943, 7769}},
-{3807, 16, 2402, {1, 1, 5, 9, 5, 45, 71, 189, 165, 555, 643, 2289, 3133, 12319, 22209, 1533}},
-{3808, 16, 2413, {1, 1, 3, 9, 7, 43, 1, 155, 323, 169, 339, 2561, 4049, 4953, 5289, 8783}},
-{3809, 16, 2422, {1, 3, 1, 11, 15, 5, 25, 201, 267, 891, 561, 501, 575, 15147, 1743, 45237}},
-{3810, 16, 2425, {1, 3, 5, 13, 25, 27, 105, 205, 165, 795, 975, 943, 7413, 10299, 14839, 54895}},
-{3811, 16, 2461, {1, 1, 5, 1, 17, 43, 69, 103, 449, 917, 103, 945, 513, 709, 11647, 28065}},
-{3812, 16, 2462, {1, 1, 3, 15, 23, 51, 23, 7, 159, 743, 177, 3457, 415, 1775, 25353, 36385}},
-{3813, 16, 2490, {1, 3, 5, 13, 9, 63, 121, 19, 165, 449, 1523, 1959, 6901, 12281, 29149, 45999}},
-{3814, 16, 2492, {1, 3, 7, 11, 17, 19, 9, 155, 373, 753, 1313, 2205, 3571, 16317, 16151, 15325}},
-{3815, 16, 2510, {1, 3, 3, 7, 15, 43, 65, 183, 407, 123, 1151, 375, 3461, 6673, 12985, 21005}},
-{3816, 16, 2564, {1, 3, 7, 7, 9, 1, 87, 247, 489, 123, 1677, 1947, 7961, 13497, 27919, 28993}},
-{3817, 16, 2573, {1, 3, 3, 7, 19, 21, 95, 227, 217, 133, 69, 1535, 699, 3521, 29255, 34733}},
-{3818, 16, 2598, {1, 3, 5, 3, 7, 57, 45, 251, 407, 81, 1259, 2425, 2217, 13097, 12773, 14643}},
-{3819, 16, 2627, {1, 1, 1, 11, 23, 37, 13, 229, 467, 591, 1521, 469, 3763, 2289, 14233, 24053}},
-{3820, 16, 2633, {1, 3, 5, 1, 27, 53, 105, 5, 85, 765, 1973, 2597, 5725, 1063, 18145, 961}},
-{3821, 16, 2647, {1, 3, 7, 1, 21, 47, 115, 95, 403, 3, 1593, 3379, 7371, 15553, 12503, 57979}},
-{3822, 16, 2660, {1, 1, 3, 1, 1, 35, 121, 29, 379, 245, 919, 2673, 3503, 14197, 31193, 8355}},
-{3823, 16, 2664, {1, 3, 5, 11, 19, 49, 97, 7, 195, 1013, 1671, 3415, 2009, 13389, 4837, 27453}},
-{3824, 16, 2678, {1, 1, 5, 13, 9, 15, 115, 97, 463, 449, 303, 2681, 1215, 12559, 15685, 21321}},
-{3825, 16, 2684, {1, 3, 5, 13, 23, 5, 113, 193, 419, 301, 1121, 317, 5503, 4683, 25519, 65}},
-{3826, 16, 2691, {1, 3, 3, 7, 15, 29, 45, 97, 323, 475, 143, 1173, 4033, 8939, 31849, 3575}},
-{3827, 16, 2759, {1, 1, 7, 7, 21, 1, 101, 143, 197, 409, 855, 1753, 5211, 3763, 11139, 37309}},
-{3828, 16, 2768, {1, 1, 3, 13, 25, 33, 55, 45, 381, 349, 991, 535, 4823, 3701, 31629, 48037}},
-{3829, 16, 2773, {1, 3, 1, 11, 17, 51, 27, 57, 409, 551, 949, 365, 8093, 10831, 19697, 39437}},
-{3830, 16, 2794, {1, 3, 5, 3, 31, 33, 81, 49, 91, 865, 469, 2115, 377, 8237, 31907, 38239}},
-{3831, 16, 2813, {1, 1, 3, 7, 29, 59, 57, 17, 121, 889, 1557, 1797, 5001, 14209, 21355, 59739}},
-{3832, 16, 2831, {1, 1, 5, 9, 11, 45, 89, 87, 397, 785, 525, 1593, 5251, 12449, 23579, 54265}},
-{3833, 16, 2843, {1, 3, 5, 11, 5, 31, 19, 47, 207, 331, 91, 1691, 5171, 53, 15945, 33349}},
-{3834, 16, 2846, {1, 1, 1, 15, 11, 41, 91, 177, 505, 871, 815, 3673, 5631, 9915, 1133, 37861}},
-{3835, 16, 2849, {1, 3, 5, 5, 25, 63, 53, 231, 55, 51, 481, 303, 1859, 11973, 28557, 22045}},
-{3836, 16, 2856, {1, 1, 5, 3, 27, 11, 37, 91, 363, 411, 1131, 3369, 377, 6585, 7353, 42949}},
-{3837, 16, 2893, {1, 3, 1, 9, 31, 63, 83, 23, 405, 941, 119, 1471, 2509, 15507, 29239, 49613}},
-{3838, 16, 2901, {1, 1, 5, 1, 11, 63, 117, 237, 407, 231, 1425, 71, 8005, 4023, 9029, 59819}},
-{3839, 16, 2924, {1, 1, 5, 7, 1, 9, 43, 87, 351, 63, 1075, 3381, 5447, 2437, 24983, 26905}},
-{3840, 16, 2942, {1, 3, 7, 5, 5, 35, 33, 89, 251, 819, 1735, 2625, 6363, 6837, 27603, 26669}},
-{3841, 16, 2975, {1, 3, 7, 13, 29, 63, 51, 245, 371, 791, 907, 3499, 3033, 8443, 20023, 1805}},
-{3842, 16, 2979, {1, 1, 5, 7, 13, 15, 109, 197, 451, 709, 929, 3193, 5727, 11185, 29479, 1671}},
-{3843, 16, 2985, {1, 1, 7, 13, 19, 23, 97, 9, 359, 635, 777, 39, 893, 2531, 13563, 19295}},
-{3844, 16, 3020, {1, 1, 5, 1, 31, 63, 55, 7, 157, 877, 991, 1317, 1595, 2019, 21435, 52255}},
-{3845, 16, 3025, {1, 1, 5, 3, 19, 37, 23, 13, 335, 431, 483, 615, 2431, 505, 26245, 63323}},
-{3846, 16, 3028, {1, 3, 7, 5, 5, 9, 37, 65, 303, 423, 1907, 2661, 7213, 2975, 29045, 16243}},
-{3847, 16, 3051, {1, 3, 1, 5, 13, 37, 115, 217, 227, 159, 707, 1387, 943, 4935, 5503, 35171}},
-{3848, 16, 3127, {1, 3, 7, 9, 19, 15, 87, 233, 453, 159, 169, 1077, 2129, 413, 19773, 629}},
-{3849, 16, 3142, {1, 1, 5, 15, 29, 39, 37, 243, 233, 365, 1843, 2219, 1255, 15287, 603, 13511}},
-{3850, 16, 3145, {1, 1, 3, 3, 31, 53, 33, 125, 497, 597, 127, 1829, 3905, 2611, 4263, 40971}},
-{3851, 16, 3156, {1, 3, 5, 9, 11, 47, 71, 215, 383, 321, 1445, 135, 5953, 8791, 22073, 16537}},
-{3852, 16, 3165, {1, 3, 3, 13, 15, 7, 7, 133, 401, 459, 1117, 3165, 4105, 11943, 22431, 56821}},
-{3853, 16, 3196, {1, 1, 7, 9, 31, 39, 19, 7, 19, 401, 79, 3641, 6815, 1489, 7537, 49467}},
-{3854, 16, 3199, {1, 3, 7, 7, 17, 11, 91, 205, 251, 321, 515, 3521, 311, 3169, 271, 34749}},
-{3855, 16, 3217, {1, 3, 3, 7, 29, 15, 5, 153, 83, 603, 1373, 997, 4939, 9811, 243, 5375}},
-{3856, 16, 3218, {1, 1, 3, 11, 21, 47, 25, 221, 237, 177, 535, 2819, 6213, 7877, 26795, 36609}},
-{3857, 16, 3253, {1, 3, 7, 3, 31, 1, 69, 73, 47, 653, 139, 1649, 7183, 1293, 26507, 38415}},
-{3858, 16, 3258, {1, 1, 1, 13, 17, 41, 23, 73, 115, 509, 787, 3733, 1871, 171, 29967, 39941}},
-{3859, 16, 3260, {1, 3, 5, 1, 9, 7, 61, 23, 105, 381, 1421, 2887, 3717, 643, 26375, 57991}},
-{3860, 16, 3289, {1, 3, 3, 3, 19, 3, 101, 117, 393, 83, 1255, 3331, 6481, 8661, 20855, 28875}},
-{3861, 16, 3314, {1, 3, 5, 11, 21, 13, 111, 193, 51, 899, 159, 1989, 7931, 10511, 3933, 447}},
-{3862, 16, 3326, {1, 1, 5, 15, 23, 35, 49, 139, 397, 145, 597, 1847, 7077, 715, 20227, 42183}},
-{3863, 16, 3331, {1, 3, 3, 3, 17, 3, 87, 233, 35, 317, 337, 237, 6901, 3439, 20033, 10307}},
-{3864, 16, 3371, {1, 3, 5, 3, 11, 35, 13, 171, 7, 963, 1443, 1501, 7617, 963, 25453, 62589}},
-{3865, 16, 3381, {1, 1, 1, 5, 11, 9, 39, 175, 409, 411, 1407, 2743, 4255, 989, 15823, 1707}},
-{3866, 16, 3396, {1, 1, 7, 13, 27, 55, 63, 239, 355, 417, 2007, 2299, 2921, 1637, 10687, 60615}},
-{3867, 16, 3441, {1, 1, 7, 9, 5, 61, 57, 73, 263, 307, 2003, 1763, 639, 5885, 14709, 16985}},
-{3868, 16, 3442, {1, 1, 3, 3, 21, 55, 19, 249, 509, 533, 1361, 1397, 2777, 15523, 4389, 13339}},
-{3869, 16, 3460, {1, 3, 5, 15, 9, 3, 91, 237, 451, 299, 1541, 4083, 879, 7859, 21585, 14833}},
-{3870, 16, 3477, {1, 1, 7, 3, 31, 47, 49, 231, 123, 391, 1633, 2567, 5577, 1631, 27951, 22913}},
-{3871, 16, 3491, {1, 3, 7, 13, 11, 13, 1, 111, 183, 87, 839, 1915, 5523, 3677, 13065, 38225}},
-{3872, 16, 3493, {1, 1, 3, 7, 15, 15, 63, 241, 167, 345, 653, 701, 4725, 12911, 11545, 24475}},
-{3873, 16, 3543, {1, 1, 3, 7, 25, 15, 49, 235, 331, 639, 965, 1117, 7147, 3789, 3309, 20255}},
-{3874, 16, 3549, {1, 3, 5, 7, 7, 63, 93, 241, 253, 31, 951, 3723, 3359, 7303, 191, 36427}},
-{3875, 16, 3550, {1, 3, 7, 9, 9, 59, 5, 107, 181, 413, 1269, 3121, 1929, 11921, 8931, 47459}},
-{3876, 16, 3553, {1, 3, 1, 15, 25, 27, 13, 47, 295, 111, 1287, 2551, 4887, 4145, 17063, 42037}},
-{3877, 16, 3563, {1, 3, 3, 13, 17, 17, 21, 17, 491, 845, 1463, 1305, 1375, 16149, 19331, 25043}},
-{3878, 16, 3568, {1, 3, 5, 1, 27, 5, 93, 139, 283, 711, 1141, 1743, 5001, 8851, 19351, 12275}},
-{3879, 16, 3604, {1, 1, 1, 1, 23, 25, 51, 63, 429, 735, 201, 3785, 6677, 16375, 19681, 17857}},
-{3880, 16, 3632, {1, 3, 3, 3, 9, 63, 71, 147, 463, 465, 1163, 1045, 6967, 12537, 31853, 38391}},
-{3881, 16, 3650, {1, 3, 7, 1, 5, 51, 79, 239, 389, 3, 601, 3787, 7635, 16295, 1681, 63971}},
-{3882, 16, 3662, {1, 3, 1, 3, 5, 31, 103, 89, 321, 971, 783, 3685, 1155, 10353, 2167, 35423}},
-{3883, 16, 3674, {1, 1, 5, 15, 25, 19, 93, 59, 361, 217, 1141, 597, 5877, 15961, 1593, 22925}},
-{3884, 16, 3685, {1, 3, 1, 9, 25, 59, 69, 89, 477, 89, 487, 237, 5625, 9579, 30421, 21883}},
-{3885, 16, 3686, {1, 1, 3, 7, 1, 5, 13, 225, 9, 981, 1081, 1407, 6855, 15215, 21713, 62313}},
-{3886, 16, 3700, {1, 1, 7, 15, 11, 13, 119, 109, 151, 245, 1195, 3741, 755, 8047, 15431, 21001}},
-{3887, 16, 3703, {1, 3, 7, 3, 17, 47, 107, 137, 99, 255, 1597, 3281, 5779, 13487, 15061, 19199}},
-{3888, 16, 3704, {1, 1, 3, 3, 9, 39, 77, 227, 511, 839, 1375, 3887, 25, 14763, 13259, 217}},
-{3889, 16, 3723, {1, 3, 5, 7, 17, 3, 87, 61, 439, 287, 709, 4085, 4251, 8945, 28203, 24011}},
-{3890, 16, 3743, {1, 3, 1, 1, 29, 25, 49, 101, 209, 359, 285, 1593, 4161, 2943, 23225, 6381}},
-{3891, 16, 3753, {1, 1, 3, 13, 1, 45, 87, 7, 491, 399, 905, 1403, 4791, 7419, 14355, 47767}},
-{3892, 16, 3756, {1, 1, 7, 15, 13, 25, 111, 197, 297, 301, 499, 4007, 2235, 7681, 4641, 32447}},
-{3893, 16, 3759, {1, 1, 3, 3, 27, 41, 97, 83, 405, 353, 1609, 201, 1503, 10673, 29377, 20445}},
-{3894, 16, 3762, {1, 1, 7, 3, 9, 47, 65, 191, 207, 545, 377, 3011, 7361, 3467, 14073, 46769}},
-{3895, 16, 3771, {1, 1, 7, 5, 7, 39, 9, 91, 187, 949, 1829, 161, 3689, 4145, 32675, 23263}},
-{3896, 16, 3776, {1, 1, 5, 9, 29, 9, 83, 113, 77, 673, 613, 3645, 6671, 8583, 27701, 18615}},
-{3897, 16, 3779, {1, 3, 5, 9, 29, 13, 127, 247, 285, 845, 463, 539, 4441, 1867, 12469, 16213}},
-{3898, 16, 3839, {1, 3, 7, 15, 1, 29, 47, 157, 239, 595, 563, 1103, 3431, 2849, 28125, 19969}},
-{3899, 16, 3856, {1, 1, 1, 15, 25, 13, 1, 131, 57, 257, 2021, 169, 7603, 10721, 21675, 63171}},
-{3900, 16, 3871, {1, 3, 5, 3, 5, 19, 31, 57, 275, 381, 775, 681, 1145, 12237, 5141, 29375}},
-{3901, 16, 3887, {1, 3, 5, 13, 27, 13, 47, 201, 267, 581, 1563, 3845, 951, 7209, 27253, 19755}},
-{3902, 16, 3896, {1, 3, 5, 15, 19, 35, 57, 17, 61, 273, 967, 3029, 1747, 1753, 31321, 23711}},
-{3903, 16, 3901, {1, 1, 1, 5, 13, 13, 7, 177, 335, 393, 1401, 1411, 4703, 8259, 1281, 39835}},
-{3904, 16, 3916, {1, 1, 3, 15, 25, 27, 27, 121, 183, 105, 663, 1375, 6987, 7151, 13763, 39323}},
-{3905, 16, 3919, {1, 3, 7, 5, 15, 1, 81, 129, 455, 163, 675, 81, 3735, 14409, 7269, 16425}},
-{3906, 16, 3937, {1, 3, 3, 11, 13, 7, 79, 157, 165, 663, 229, 3539, 1837, 6485, 30729, 42157}},
-{3907, 16, 3943, {1, 1, 5, 15, 9, 9, 9, 47, 133, 863, 43, 1461, 511, 13991, 24781, 19221}},
-{3908, 16, 3955, {1, 3, 1, 7, 31, 33, 103, 13, 159, 689, 1353, 4025, 6051, 7683, 1741, 30047}},
-{3909, 16, 3961, {1, 1, 3, 11, 5, 45, 71, 219, 475, 585, 1207, 3163, 4661, 4713, 12729, 30445}},
-{3910, 16, 3988, {1, 3, 7, 5, 5, 53, 101, 227, 129, 521, 91, 1129, 4683, 11235, 24697, 45055}},
-{3911, 16, 3997, {1, 1, 3, 13, 1, 43, 7, 1, 73, 857, 1713, 185, 1685, 2369, 24187, 40419}},
-{3912, 16, 4011, {1, 1, 7, 7, 21, 7, 13, 177, 503, 1003, 1091, 2411, 1433, 9063, 13901, 3329}},
-{3913, 16, 4026, {1, 1, 7, 1, 7, 41, 99, 203, 325, 249, 1763, 545, 2981, 14125, 7815, 11385}},
-{3914, 16, 4033, {1, 3, 7, 11, 3, 11, 95, 137, 325, 701, 1177, 1631, 4483, 2955, 30229, 25577}},
-{3915, 16, 4045, {1, 1, 7, 7, 17, 45, 77, 103, 143, 97, 1963, 3635, 1539, 10491, 23483, 22767}},
-{3916, 16, 4060, {1, 1, 7, 15, 7, 5, 81, 63, 243, 55, 39, 207, 2315, 8285, 8155, 11631}},
-{3917, 16, 4063, {1, 3, 5, 15, 23, 19, 115, 9, 125, 851, 161, 3767, 3513, 1855, 11139, 1719}},
-{3918, 16, 4064, {1, 3, 7, 11, 11, 23, 15, 13, 235, 5, 1039, 1425, 6485, 5539, 8967, 64809}},
-{3919, 16, 4126, {1, 3, 5, 7, 19, 11, 83, 135, 45, 905, 1081, 1857, 3185, 13555, 21365, 38143}},
-{3920, 16, 4136, {1, 1, 5, 1, 25, 27, 119, 109, 167, 847, 1539, 2653, 797, 11185, 23501, 22389}},
-{3921, 16, 4167, {1, 1, 7, 7, 11, 3, 51, 97, 277, 557, 207, 3645, 825, 8521, 26653, 60071}},
-{3922, 16, 4173, {1, 3, 3, 15, 17, 35, 57, 7, 267, 549, 97, 243, 1137, 10311, 6737, 19077}},
-{3923, 16, 4188, {1, 1, 1, 15, 23, 33, 27, 203, 415, 1023, 1145, 1881, 7715, 4413, 3727, 5185}},
-{3924, 16, 4195, {1, 1, 3, 3, 13, 47, 63, 13, 75, 505, 595, 2911, 4029, 14187, 23151, 42877}},
-{3925, 16, 4226, {1, 1, 5, 15, 23, 5, 11, 65, 147, 675, 1961, 2177, 727, 15077, 23759, 10195}},
-{3926, 16, 4291, {1, 3, 5, 9, 9, 39, 69, 229, 341, 627, 1331, 3139, 3921, 9219, 14887, 4659}},
-{3927, 16, 4298, {1, 1, 7, 3, 1, 35, 49, 71, 165, 83, 719, 2771, 6475, 7821, 16709, 4449}},
-{3928, 16, 4308, {1, 3, 5, 5, 23, 15, 3, 57, 465, 77, 121, 3767, 6841, 13601, 12035, 14075}},
-{3929, 16, 4312, {1, 1, 7, 3, 3, 23, 45, 131, 287, 941, 713, 415, 6865, 14209, 29555, 55493}},
-{3930, 16, 4336, {1, 3, 5, 11, 29, 35, 55, 75, 225, 779, 569, 1795, 1377, 12765, 19081, 47287}},
-{3931, 16, 4371, {1, 3, 7, 3, 31, 47, 127, 89, 157, 737, 1395, 3615, 7923, 14731, 15797, 40061}},
-{3932, 16, 4378, {1, 1, 1, 11, 21, 37, 21, 59, 9, 141, 193, 3095, 3435, 12371, 26931, 61861}},
-{3933, 16, 4384, {1, 1, 3, 7, 13, 51, 15, 153, 77, 1013, 651, 3949, 6229, 14297, 1039, 46139}},
-{3934, 16, 4393, {1, 3, 3, 13, 7, 43, 95, 61, 217, 3, 549, 739, 123, 3661, 15375, 13919}},
-{3935, 16, 4421, {1, 3, 5, 9, 13, 37, 101, 89, 55, 413, 1089, 775, 7575, 13063, 31393, 29583}},
-{3936, 16, 4425, {1, 1, 3, 9, 25, 63, 119, 143, 499, 145, 603, 2067, 4713, 13457, 14053, 117}},
-{3937, 16, 4439, {1, 1, 5, 9, 7, 23, 57, 253, 115, 591, 2003, 63, 7615, 11493, 28519, 47087}},
-{3938, 16, 4440, {1, 1, 7, 3, 7, 53, 121, 33, 233, 645, 1093, 1697, 7213, 2603, 10743, 51303}},
-{3939, 16, 4500, {1, 3, 5, 7, 13, 31, 17, 125, 93, 969, 159, 1529, 7165, 7371, 8707, 56953}},
-{3940, 16, 4514, {1, 3, 3, 1, 13, 9, 91, 25, 171, 843, 1635, 2043, 1043, 15893, 11409, 53689}},
-{3941, 16, 4523, {1, 3, 5, 7, 13, 19, 89, 97, 203, 923, 1109, 2061, 463, 11703, 8925, 56015}},
-{3942, 16, 4534, {1, 3, 5, 11, 5, 21, 79, 237, 195, 649, 717, 211, 919, 12855, 3045, 39659}},
-{3943, 16, 4593, {1, 1, 1, 15, 13, 19, 21, 69, 393, 257, 1263, 309, 3209, 8403, 24467, 6467}},
-{3944, 16, 4615, {1, 1, 1, 11, 7, 27, 59, 117, 379, 353, 943, 2513, 3869, 4567, 12989, 13139}},
-{3945, 16, 4630, {1, 1, 1, 3, 13, 43, 11, 15, 149, 237, 1555, 71, 2357, 15773, 21419, 40571}},
-{3946, 16, 4636, {1, 3, 1, 9, 19, 23, 59, 215, 15, 921, 1729, 249, 3785, 7171, 1233, 3449}},
-{3947, 16, 4645, {1, 1, 1, 7, 7, 37, 63, 205, 75, 599, 951, 2513, 3347, 2497, 8019, 5433}},
-{3948, 16, 4684, {1, 3, 3, 15, 27, 17, 25, 201, 23, 699, 1525, 465, 1115, 12299, 14747, 40363}},
-{3949, 16, 4687, {1, 1, 1, 3, 29, 59, 115, 233, 107, 815, 291, 3821, 7325, 7381, 21445, 33917}},
-{3950, 16, 4723, {1, 3, 1, 11, 11, 33, 107, 171, 421, 893, 587, 3373, 4101, 3885, 25383, 12035}},
-{3951, 16, 4735, {1, 3, 3, 7, 5, 23, 43, 51, 357, 77, 1327, 2995, 1321, 1571, 26419, 23603}},
-{3952, 16, 4746, {1, 3, 7, 9, 27, 57, 101, 51, 215, 215, 469, 303, 723, 2903, 30569, 42631}},
-{3953, 16, 4779, {1, 3, 3, 13, 1, 7, 63, 205, 143, 321, 1439, 253, 2667, 1271, 11761, 55631}},
-{3954, 16, 4782, {1, 1, 7, 9, 3, 7, 7, 15, 503, 875, 1619, 1715, 5047, 5665, 5503, 17745}},
-{3955, 16, 4793, {1, 1, 7, 15, 19, 49, 65, 31, 245, 371, 377, 2963, 6185, 5519, 10743, 33231}},
-{3956, 16, 4796, {1, 1, 7, 3, 25, 27, 115, 51, 299, 451, 285, 1709, 6153, 14881, 17861, 22071}},
-{3957, 16, 4813, {1, 3, 1, 5, 21, 21, 127, 185, 325, 995, 213, 3279, 4769, 15943, 2589, 29567}},
-{3958, 16, 4850, {1, 3, 7, 5, 21, 9, 63, 59, 159, 743, 663, 2965, 97, 8993, 25633, 29033}},
-{3959, 16, 4867, {1, 3, 7, 13, 3, 35, 59, 101, 21, 659, 1531, 3995, 795, 2143, 21749, 52715}},
-{3960, 16, 4874, {1, 3, 3, 15, 27, 29, 95, 1, 501, 425, 417, 2351, 7877, 4127, 3633, 23347}},
-{3961, 16, 4881, {1, 3, 5, 7, 7, 49, 55, 19, 329, 467, 425, 1609, 6987, 16123, 26879, 42883}},
-{3962, 16, 4894, {1, 1, 1, 15, 17, 21, 13, 13, 85, 7, 677, 3739, 5491, 6299, 29957, 55765}},
-{3963, 16, 4904, {1, 1, 1, 7, 31, 21, 1, 5, 193, 659, 979, 3409, 3151, 6615, 7445, 8151}},
-{3964, 16, 4927, {1, 3, 1, 1, 11, 61, 27, 205, 263, 805, 955, 3469, 1233, 1609, 15329, 13353}},
-{3965, 16, 4929, {1, 3, 3, 9, 3, 29, 59, 75, 149, 557, 663, 3887, 3369, 3397, 10611, 9511}},
-{3966, 16, 4989, {1, 1, 7, 13, 29, 21, 101, 139, 99, 411, 569, 2343, 6901, 1685, 20599, 49543}},
-{3967, 16, 5000, {1, 3, 3, 15, 11, 3, 87, 89, 5, 293, 291, 1405, 1489, 9877, 32505, 32263}},
-{3968, 16, 5020, {1, 1, 5, 5, 19, 45, 89, 5, 381, 253, 1339, 707, 4645, 14177, 29441, 8965}},
-{3969, 16, 5036, {1, 3, 7, 15, 27, 45, 25, 177, 81, 229, 1339, 2143, 6547, 6841, 23449, 14813}},
-{3970, 16, 5041, {1, 1, 1, 3, 27, 23, 81, 157, 53, 513, 1435, 277, 2353, 3545, 21461, 51479}},
-{3971, 16, 5059, {1, 3, 1, 3, 3, 17, 75, 139, 283, 881, 1157, 2081, 937, 14549, 10215, 13053}},
-{3972, 16, 5074, {1, 1, 7, 9, 25, 27, 27, 133, 21, 559, 225, 613, 6931, 11785, 23413, 35757}},
-{3973, 16, 5090, {1, 1, 3, 13, 19, 9, 65, 49, 453, 779, 621, 1151, 1807, 13269, 6515, 17113}},
-{3974, 16, 5110, {1, 1, 1, 13, 21, 49, 39, 79, 119, 401, 903, 493, 3779, 7389, 29425, 28091}},
-{3975, 16, 5134, {1, 3, 1, 3, 23, 57, 59, 213, 463, 839, 1201, 1951, 5197, 13035, 29657, 35517}},
-{3976, 16, 5152, {1, 3, 7, 7, 3, 49, 29, 181, 367, 101, 1277, 3329, 3563, 10373, 29757, 62555}},
-{3977, 16, 5176, {1, 3, 1, 7, 31, 31, 117, 213, 373, 57, 1095, 2733, 3431, 3915, 7665, 44459}},
-{3978, 16, 5181, {1, 1, 7, 5, 9, 25, 47, 117, 355, 495, 1367, 2579, 5617, 787, 27655, 18885}},
-{3979, 16, 5204, {1, 1, 1, 3, 9, 39, 113, 87, 107, 477, 891, 2273, 4239, 7521, 147, 1737}},
-{3980, 16, 5218, {1, 1, 1, 3, 13, 61, 81, 225, 113, 441, 889, 1915, 3897, 15179, 4053, 5925}},
-{3981, 16, 5242, {1, 1, 5, 3, 15, 47, 59, 187, 475, 197, 1381, 33, 4605, 1487, 14359, 33769}},
-{3982, 16, 5253, {1, 3, 7, 15, 23, 45, 53, 215, 129, 465, 795, 53, 7077, 9517, 2663, 55397}},
-{3983, 16, 5260, {1, 1, 7, 13, 25, 49, 105, 255, 245, 153, 1093, 2123, 2823, 5125, 17483, 49003}},
-{3984, 16, 5281, {1, 1, 1, 13, 31, 5, 7, 243, 255, 231, 1663, 1007, 7573, 405, 29183, 11367}},
-{3985, 16, 5282, {1, 1, 5, 13, 15, 15, 115, 91, 63, 1013, 1713, 1945, 6397, 14213, 24417, 40807}},
-{3986, 16, 5313, {1, 1, 5, 3, 19, 49, 91, 25, 43, 601, 25, 2405, 1973, 629, 497, 12625}},
-{3987, 16, 5316, {1, 1, 3, 5, 13, 45, 11, 81, 251, 545, 1155, 1409, 7187, 847, 2835, 32909}},
-{3988, 16, 5326, {1, 3, 1, 13, 27, 57, 1, 103, 465, 809, 1727, 3721, 3347, 3791, 17247, 8377}},
-{3989, 16, 5340, {1, 3, 3, 15, 25, 31, 91, 91, 119, 205, 1431, 703, 5327, 7323, 30415, 61955}},
-{3990, 16, 5347, {1, 3, 5, 11, 19, 39, 79, 243, 109, 463, 1869, 2133, 4139, 10461, 14793, 24025}},
-{3991, 16, 5354, {1, 3, 5, 7, 23, 41, 5, 7, 249, 3, 1743, 489, 4921, 397, 30955, 22207}},
-{3992, 16, 5368, {1, 3, 5, 15, 3, 7, 115, 19, 217, 231, 1183, 3723, 5055, 12967, 7855, 5067}},
-{3993, 16, 5394, {1, 3, 3, 3, 11, 31, 113, 41, 429, 797, 557, 1199, 1819, 1933, 9917, 32229}},
-{3994, 16, 5396, {1, 1, 5, 3, 13, 63, 31, 183, 465, 915, 723, 3227, 4125, 2813, 26313, 34287}},
-{3995, 16, 5400, {1, 1, 7, 5, 31, 55, 117, 243, 37, 885, 85, 1067, 3895, 15655, 28527, 32109}},
-{3996, 16, 5405, {1, 3, 7, 15, 17, 43, 43, 173, 119, 187, 1161, 599, 4595, 1681, 11981, 681}},
-{3997, 16, 5439, {1, 1, 7, 7, 29, 47, 25, 93, 411, 103, 783, 1029, 1927, 3569, 27647, 8281}},
-{3998, 16, 5442, {1, 3, 3, 9, 19, 57, 31, 183, 141, 889, 157, 2267, 5701, 6273, 25739, 34039}},
-{3999, 16, 5459, {1, 3, 5, 1, 29, 35, 105, 165, 505, 299, 1149, 2397, 2013, 11591, 15917, 4791}},
-{4000, 16, 5478, {1, 3, 3, 9, 7, 35, 47, 77, 69, 335, 585, 1131, 531, 8597, 307, 55985}},
-{4001, 16, 5484, {1, 3, 7, 1, 29, 9, 25, 155, 149, 845, 567, 3735, 3501, 9365, 12025, 19131}},
-{4002, 16, 5508, {1, 3, 5, 3, 11, 31, 25, 9, 411, 519, 1611, 1441, 1487, 10049, 14373, 24605}},
-{4003, 16, 5523, {1, 3, 3, 5, 3, 7, 101, 107, 339, 155, 1843, 2529, 443, 8177, 28655, 8151}},
-{4004, 16, 5545, {1, 1, 7, 5, 29, 37, 73, 131, 125, 451, 947, 797, 5053, 10155, 30801, 27235}},
-{4005, 16, 5565, {1, 1, 7, 13, 19, 47, 101, 45, 495, 457, 1293, 1971, 5495, 12737, 17687, 26123}},
-{4006, 16, 5566, {1, 1, 7, 7, 11, 11, 75, 177, 251, 553, 1883, 3379, 1429, 12227, 10301, 16467}},
-{4007, 16, 5580, {1, 3, 3, 9, 3, 61, 95, 35, 97, 551, 233, 2045, 4873, 9109, 10019, 64523}},
-{4008, 16, 5608, {1, 3, 1, 5, 11, 3, 15, 177, 301, 573, 2029, 191, 5551, 12083, 27287, 57235}},
-{4009, 16, 5613, {1, 3, 5, 1, 21, 9, 121, 169, 347, 187, 57, 3163, 5609, 1921, 17581, 28351}},
-{4010, 16, 5647, {1, 3, 3, 1, 31, 51, 15, 45, 429, 245, 573, 1595, 5343, 7519, 17009, 1299}},
-{4011, 16, 5661, {1, 1, 7, 3, 13, 47, 109, 65, 389, 867, 963, 145, 1089, 9749, 19625, 43121}},
-{4012, 16, 5671, {1, 3, 1, 7, 21, 61, 77, 67, 143, 579, 625, 2007, 6343, 4259, 21233, 237}},
-{4013, 16, 5678, {1, 3, 5, 9, 27, 15, 107, 91, 399, 895, 645, 2301, 439, 6789, 18299, 47285}},
-{4014, 16, 5680, {1, 3, 3, 5, 13, 11, 43, 199, 505, 409, 25, 2057, 479, 6031, 9561, 51613}},
-{4015, 16, 5685, {1, 1, 7, 13, 15, 55, 105, 53, 171, 925, 1849, 2881, 6951, 13069, 865, 41019}},
-{4016, 16, 5689, {1, 3, 1, 9, 17, 31, 45, 23, 411, 185, 189, 2123, 2583, 12713, 12681, 2231}},
-{4017, 16, 5692, {1, 3, 7, 9, 3, 63, 11, 253, 177, 127, 545, 3293, 4449, 15995, 10223, 33529}},
-{4018, 16, 5724, {1, 1, 5, 11, 13, 7, 53, 161, 421, 551, 697, 627, 3879, 1639, 24419, 3337}},
-{4019, 16, 5745, {1, 1, 7, 7, 27, 7, 37, 205, 429, 407, 1133, 3563, 2921, 6173, 11173, 3009}},
-{4020, 16, 5755, {1, 3, 3, 15, 31, 39, 117, 81, 337, 729, 567, 2299, 1481, 3189, 1795, 40299}},
-{4021, 16, 5757, {1, 3, 5, 15, 15, 47, 91, 127, 275, 55, 951, 3423, 2879, 6115, 1549, 2287}},
-{4022, 16, 5786, {1, 3, 3, 11, 17, 3, 127, 207, 141, 889, 185, 1095, 4567, 1371, 30545, 54445}},
-{4023, 16, 5792, {1, 1, 7, 3, 25, 11, 11, 139, 43, 1, 1977, 397, 5775, 6913, 13249, 46767}},
-{4024, 16, 5810, {1, 1, 7, 7, 27, 13, 31, 251, 191, 1015, 161, 3719, 5321, 13013, 25187, 51881}},
-{4025, 16, 5824, {1, 1, 1, 1, 3, 3, 13, 19, 423, 349, 1955, 2103, 6395, 3315, 23809, 25925}},
-{4026, 16, 5869, {1, 3, 5, 13, 3, 59, 41, 167, 423, 93, 1299, 2623, 5829, 8537, 8701, 43757}},
-{4027, 16, 5872, {1, 3, 5, 11, 9, 19, 127, 119, 329, 819, 7, 3809, 5305, 3643, 27369, 61827}},
-{4028, 16, 5895, {1, 3, 1, 15, 25, 43, 55, 159, 205, 911, 983, 2825, 3751, 7845, 12023, 18431}},
-{4029, 16, 5923, {1, 3, 3, 13, 11, 1, 65, 133, 479, 181, 679, 981, 3317, 6241, 11693, 9619}},
-{4030, 16, 5925, {1, 3, 3, 3, 21, 25, 117, 183, 127, 73, 703, 1469, 257, 11229, 10167, 50847}},
-{4031, 16, 5926, {1, 1, 5, 13, 5, 5, 113, 15, 231, 269, 989, 465, 3267, 15239, 29503, 42855}},
-{4032, 16, 5944, {1, 3, 3, 15, 9, 63, 79, 27, 21, 709, 1969, 3761, 1015, 13619, 4205, 40591}},
-{4033, 16, 5986, {1, 1, 7, 11, 29, 3, 5, 45, 107, 131, 1287, 3551, 849, 2003, 27451, 47103}},
-{4034, 16, 6012, {1, 3, 5, 11, 3, 47, 59, 53, 369, 249, 915, 2475, 7539, 763, 7063, 63971}},
-{4035, 16, 6015, {1, 1, 5, 1, 7, 53, 45, 127, 321, 341, 635, 2277, 1383, 10951, 29055, 45087}},
-{4036, 16, 6046, {1, 3, 7, 3, 5, 1, 119, 79, 487, 93, 25, 491, 4085, 6403, 27779, 8753}},
-{4037, 16, 6049, {1, 1, 1, 3, 9, 59, 49, 141, 323, 703, 1175, 423, 4323, 10083, 4289, 28931}},
-{4038, 16, 6061, {1, 3, 3, 15, 31, 31, 73, 15, 187, 653, 91, 1707, 1431, 9861, 19071, 8137}},
-{4039, 16, 6067, {1, 1, 1, 5, 27, 63, 93, 1, 329, 353, 863, 473, 7681, 10653, 15819, 8495}},
-{4040, 16, 6099, {1, 1, 1, 5, 25, 57, 119, 167, 219, 319, 231, 1065, 6217, 5131, 1513, 49281}},
-{4041, 16, 6121, {1, 3, 7, 3, 17, 3, 113, 91, 201, 179, 1907, 3423, 821, 12927, 24827, 49403}},
-{4042, 16, 6155, {1, 1, 5, 7, 19, 63, 75, 151, 387, 489, 777, 2049, 1151, 1351, 25687, 4143}},
-{4043, 16, 6163, {1, 3, 5, 7, 9, 37, 9, 3, 87, 385, 1667, 2139, 7527, 16133, 30023, 28783}},
-{4044, 16, 6203, {1, 1, 5, 9, 11, 55, 95, 73, 413, 867, 589, 2901, 3021, 413, 5955, 38921}},
-{4045, 16, 6208, {1, 3, 5, 15, 1, 17, 17, 7, 485, 323, 519, 2325, 2255, 4211, 20661, 28931}},
-{4046, 16, 6231, {1, 1, 5, 13, 21, 19, 85, 189, 167, 645, 1475, 3095, 7123, 3351, 7961, 20967}},
-{4047, 16, 6241, {1, 1, 7, 13, 3, 47, 13, 213, 237, 291, 285, 1465, 1765, 12361, 32651, 54205}},
-{4048, 16, 6254, {1, 3, 7, 13, 13, 27, 71, 35, 67, 117, 647, 2359, 3295, 8445, 24761, 29379}},
-{4049, 16, 6262, {1, 1, 1, 3, 3, 19, 23, 37, 5, 1019, 5, 1605, 2291, 14015, 9311, 39751}},
-{4050, 16, 6266, {1, 3, 3, 3, 31, 1, 65, 159, 221, 675, 1061, 971, 2333, 8265, 14361, 3263}},
-{4051, 16, 6275, {1, 1, 3, 7, 3, 5, 81, 17, 101, 991, 753, 2883, 4977, 4409, 1757, 26803}},
-{4052, 16, 6278, {1, 1, 5, 9, 13, 25, 45, 43, 199, 967, 829, 713, 4547, 7223, 6497, 53895}},
-{4053, 16, 6292, {1, 1, 7, 5, 23, 15, 89, 179, 509, 147, 315, 133, 111, 15577, 23427, 5229}},
-{4054, 16, 6329, {1, 3, 3, 7, 27, 7, 113, 65, 315, 135, 1309, 1179, 5755, 7513, 6815, 5137}},
-{4055, 16, 6355, {1, 1, 3, 7, 1, 13, 29, 155, 477, 721, 71, 865, 3897, 3331, 30641, 65471}},
-{4056, 16, 6357, {1, 1, 7, 3, 29, 45, 83, 3, 461, 109, 1545, 1365, 6633, 16137, 23859, 5995}},
-{4057, 16, 6374, {1, 3, 1, 1, 3, 33, 77, 83, 459, 187, 879, 3731, 6939, 6707, 23409, 24245}},
-{4058, 16, 6380, {1, 3, 5, 5, 13, 43, 127, 41, 29, 735, 1391, 2947, 4873, 4627, 15, 41719}},
-{4059, 16, 6423, {1, 3, 1, 3, 17, 17, 51, 93, 189, 227, 449, 2809, 825, 2009, 9563, 41435}},
-{4060, 16, 6427, {1, 3, 3, 11, 25, 47, 113, 173, 141, 919, 677, 117, 5293, 815, 23749, 19789}},
-{4061, 16, 6430, {1, 1, 1, 13, 15, 61, 121, 223, 53, 389, 489, 1527, 4771, 8975, 8005, 14275}},
-{4062, 16, 6436, {1, 1, 3, 15, 31, 57, 111, 145, 279, 991, 489, 3239, 7647, 473, 31279, 33447}},
-{4063, 16, 6443, {1, 1, 7, 5, 31, 13, 75, 185, 395, 611, 609, 159, 7931, 9887, 4115, 53121}},
-{4064, 16, 6445, {1, 3, 5, 5, 13, 39, 103, 237, 77, 913, 511, 1583, 6763, 14523, 4247, 63403}},
-{4065, 16, 6458, {1, 1, 1, 15, 11, 5, 43, 43, 297, 827, 747, 5, 3785, 15021, 11291, 36743}},
-{4066, 16, 6478, {1, 1, 7, 9, 9, 53, 113, 95, 403, 53, 1335, 4033, 8147, 11963, 6523, 23675}},
-{4067, 16, 6490, {1, 1, 5, 9, 27, 29, 69, 79, 327, 409, 1147, 1579, 2625, 12227, 30933, 9057}},
-{4068, 16, 6508, {1, 1, 1, 7, 1, 33, 29, 173, 5, 517, 437, 2035, 57, 12825, 22095, 65519}},
-{4069, 16, 6519, {1, 1, 3, 7, 27, 29, 53, 79, 429, 707, 589, 2605, 339, 7039, 19319, 17649}},
-{4070, 16, 6520, {1, 3, 3, 11, 9, 57, 43, 117, 39, 193, 1427, 2553, 6877, 7653, 29041, 44865}},
-{4071, 16, 6530, {1, 3, 3, 7, 23, 45, 29, 151, 265, 739, 365, 3565, 6447, 9761, 24021, 679}},
-{4072, 16, 6541, {1, 3, 5, 1, 1, 43, 73, 55, 131, 175, 959, 659, 7315, 15145, 18301, 14865}},
-{4073, 16, 6556, {1, 1, 3, 5, 15, 15, 91, 113, 359, 241, 1627, 1069, 1761, 211, 32671, 58833}},
-{4074, 16, 6607, {1, 3, 3, 7, 29, 27, 79, 53, 409, 81, 693, 3137, 7385, 11007, 28459, 28621}},
-{4075, 16, 6612, {1, 1, 7, 5, 29, 7, 67, 195, 77, 773, 1361, 2153, 4459, 7301, 5129, 17797}},
-{4076, 16, 6626, {1, 3, 3, 7, 25, 27, 91, 223, 115, 91, 1645, 2167, 1955, 9601, 22127, 13055}},
-{4077, 16, 6632, {1, 3, 7, 3, 27, 53, 67, 249, 51, 151, 663, 3231, 895, 6777, 3037, 56755}},
-{4078, 16, 6649, {1, 1, 5, 1, 25, 63, 71, 179, 375, 301, 1127, 2125, 783, 14481, 7293, 47883}},
-{4079, 16, 6666, {1, 1, 3, 9, 25, 3, 39, 69, 1, 85, 1271, 1571, 1953, 5077, 20369, 44827}},
-{4080, 16, 6674, {1, 3, 1, 13, 11, 61, 77, 59, 127, 475, 1609, 3553, 2553, 15589, 9351, 59787}},
-{4081, 16, 6733, {1, 3, 1, 5, 21, 7, 61, 27, 199, 653, 1243, 2481, 5369, 12903, 30229, 39453}},
-{4082, 16, 6782, {1, 3, 7, 3, 13, 15, 107, 153, 501, 573, 863, 3179, 6019, 15177, 16075, 43767}},
-{4083, 16, 6786, {1, 1, 7, 1, 23, 55, 17, 35, 5, 137, 1707, 1377, 6857, 15361, 27299, 61871}},
-{4084, 16, 6798, {1, 3, 5, 7, 27, 17, 87, 213, 95, 125, 1239, 3923, 4193, 11049, 12783, 45017}},
-{4085, 16, 6821, {1, 1, 5, 15, 9, 55, 11, 217, 7, 249, 369, 205, 4251, 13785, 24781, 48929}},
-{4086, 16, 6840, {1, 3, 7, 1, 15, 35, 33, 107, 503, 563, 1591, 3487, 7495, 1767, 24791, 31281}},
-{4087, 16, 6846, {1, 3, 1, 11, 3, 15, 47, 193, 289, 253, 909, 1105, 5119, 1415, 7737, 4341}},
-{4088, 16, 6865, {1, 1, 1, 3, 23, 33, 53, 187, 469, 573, 835, 2049, 791, 1177, 31051, 30955}},
-{4089, 16, 6884, {1, 3, 3, 11, 15, 51, 77, 143, 369, 991, 1103, 1293, 6019, 6361, 26301, 20741}},
-{4090, 16, 6891, {1, 1, 1, 5, 17, 19, 85, 135, 113, 593, 579, 1063, 7173, 2491, 9355, 19223}},
-{4091, 16, 6925, {1, 1, 5, 15, 25, 51, 107, 193, 31, 1, 1693, 125, 6223, 14619, 22683, 26321}},
-{4092, 16, 6938, {1, 1, 7, 1, 17, 45, 87, 39, 87, 499, 1185, 2763, 3989, 2863, 24555, 33817}},
-{4093, 16, 6967, {1, 3, 1, 11, 31, 5, 121, 231, 185, 793, 255, 2785, 5261, 3687, 21711, 3941}},
-{4094, 16, 6988, {1, 3, 7, 15, 5, 59, 73, 227, 365, 937, 893, 2155, 4385, 14345, 6813, 28461}},
-{4095, 16, 6996, {1, 1, 5, 7, 7, 23, 7, 239, 431, 45, 1015, 1663, 1893, 5035, 24075, 2119}},
-{4096, 16, 7009, {1, 3, 5, 1, 3, 15, 63, 103, 119, 801, 1681, 3463, 6083, 6453, 11379, 8205}},
-{4097, 16, 7016, {1, 3, 7, 9, 21, 61, 9, 9, 433, 541, 603, 3905, 3787, 10187, 3643, 21319}},
-{4098, 16, 7030, {1, 3, 5, 3, 11, 1, 101, 243, 363, 559, 561, 1163, 455, 4657, 1147, 39961}},
-{4099, 16, 7043, {1, 3, 5, 13, 17, 37, 57, 47, 483, 571, 1579, 1137, 8125, 12271, 23279, 1615}},
-{4100, 16, 7045, {1, 3, 5, 1, 21, 5, 13, 155, 75, 705, 389, 2855, 6345, 2279, 12627, 49451}},
-{4101, 16, 7052, {1, 1, 3, 9, 15, 51, 73, 99, 445, 227, 1705, 2175, 8111, 9381, 31555, 48491}},
-{4102, 16, 7073, {1, 3, 3, 5, 9, 63, 107, 51, 461, 979, 1033, 421, 4807, 11707, 13261, 26015}},
-{4103, 16, 7142, {1, 1, 5, 3, 13, 53, 117, 249, 57, 851, 1391, 3245, 35, 16043, 24399, 63667}},
-{4104, 16, 7153, {1, 3, 1, 11, 23, 33, 57, 125, 385, 495, 871, 199, 4269, 2269, 22897, 23597}},
-{4105, 16, 7168, {1, 3, 5, 15, 29, 11, 77, 21, 479, 369, 723, 3721, 1121, 9463, 19775, 54525}},
-{4106, 16, 7174, {1, 3, 5, 7, 7, 45, 29, 153, 395, 223, 1917, 3713, 5087, 10827, 1383, 36823}},
-{4107, 16, 7183, {1, 3, 1, 3, 31, 19, 111, 55, 275, 923, 917, 2925, 673, 6579, 18783, 5137}},
-{4108, 16, 7195, {1, 3, 1, 15, 25, 31, 59, 255, 31, 697, 1751, 381, 299, 295, 14037, 40953}},
-{4109, 16, 7204, {1, 3, 1, 7, 15, 23, 69, 219, 351, 183, 1083, 2227, 6249, 9385, 13167, 2901}},
-{4110, 16, 7214, {1, 3, 7, 1, 5, 61, 117, 13, 67, 521, 41, 2929, 3937, 1215, 25593, 32627}},
-{4111, 16, 7222, {1, 3, 5, 1, 9, 47, 63, 39, 371, 657, 491, 2243, 4049, 10517, 12409, 40597}},
-{4112, 16, 7267, {1, 3, 7, 15, 17, 3, 77, 13, 275, 225, 487, 2055, 1293, 15927, 31773, 18275}},
-{4113, 16, 7269, {1, 1, 5, 13, 11, 57, 113, 27, 191, 363, 1341, 3487, 8031, 13801, 7563, 40675}},
-{4114, 16, 7279, {1, 1, 3, 3, 27, 31, 103, 143, 271, 305, 2033, 3623, 4219, 9307, 7501, 8959}},
-{4115, 16, 7293, {1, 1, 1, 13, 1, 3, 27, 97, 475, 143, 333, 2997, 1807, 4231, 27437, 59717}},
-{4116, 16, 7312, {1, 3, 7, 5, 5, 3, 69, 233, 309, 511, 1429, 1887, 2745, 4969, 17595, 5451}},
-{4117, 16, 7327, {1, 1, 7, 3, 23, 17, 115, 89, 265, 467, 257, 2027, 5331, 1195, 4451, 8621}},
-{4118, 16, 7334, {1, 1, 7, 13, 29, 35, 117, 155, 99, 327, 853, 3595, 2997, 10745, 21619, 26549}},
-{4119, 16, 7337, {1, 3, 3, 13, 1, 13, 75, 151, 67, 271, 1609, 1117, 4293, 4645, 12005, 55983}},
-{4120, 16, 7343, {1, 1, 1, 13, 1, 61, 101, 63, 161, 261, 1759, 567, 665, 2339, 9157, 55603}},
-{4121, 16, 7346, {1, 1, 7, 11, 25, 19, 71, 27, 255, 435, 227, 4087, 4309, 14903, 14513, 30207}},
-{4122, 16, 7372, {1, 3, 3, 3, 11, 41, 1, 67, 383, 403, 45, 1521, 1535, 3353, 27361, 7549}},
-{4123, 16, 7387, {1, 1, 1, 1, 13, 51, 31, 137, 147, 907, 19, 3639, 3739, 877, 15005, 60357}},
-{4124, 16, 7390, {1, 1, 3, 11, 11, 23, 29, 173, 105, 873, 1727, 2761, 2015, 7491, 17491, 41065}},
-{4125, 16, 7396, {1, 1, 5, 3, 31, 1, 119, 53, 11, 731, 393, 4031, 4421, 15715, 6431, 18089}},
-{4126, 16, 7423, {1, 1, 3, 5, 15, 37, 55, 147, 307, 521, 711, 3085, 5989, 8081, 23351, 35259}},
-{4127, 16, 7428, {1, 3, 5, 13, 21, 19, 47, 107, 447, 713, 1655, 2809, 4741, 2105, 9255, 103}},
-{4128, 16, 7437, {1, 3, 1, 3, 17, 47, 63, 125, 343, 763, 1777, 607, 5625, 9517, 7221, 27257}},
-{4129, 16, 7466, {1, 1, 7, 5, 31, 13, 67, 255, 41, 947, 99, 721, 7367, 11427, 1357, 12383}},
-{4130, 16, 7474, {1, 1, 7, 3, 23, 27, 73, 185, 189, 545, 1877, 3169, 5419, 15873, 29059, 23983}},
-{4131, 16, 7476, {1, 1, 3, 1, 5, 13, 81, 45, 79, 717, 819, 3539, 7561, 7319, 5113, 27273}},
-{4132, 16, 7483, {1, 3, 7, 9, 21, 25, 71, 247, 41, 583, 771, 3745, 1883, 5717, 755, 14549}},
-{4133, 16, 7518, {1, 1, 3, 7, 23, 25, 87, 143, 499, 515, 1753, 1229, 173, 10629, 30579, 29643}},
-{4134, 16, 7527, {1, 3, 1, 13, 29, 33, 31, 69, 503, 117, 1717, 101, 7647, 1567, 28677, 3079}},
-{4135, 16, 7545, {1, 3, 1, 15, 29, 45, 57, 81, 171, 813, 505, 3647, 3913, 5557, 2477, 42429}},
-{4136, 16, 7572, {1, 1, 5, 13, 21, 13, 81, 5, 471, 221, 1563, 1741, 7269, 16327, 22687, 5291}},
-{4137, 16, 7586, {1, 3, 5, 3, 23, 41, 107, 61, 95, 79, 467, 1533, 739, 6791, 26911, 20309}},
-{4138, 16, 7597, {1, 3, 7, 7, 3, 53, 71, 163, 459, 975, 687, 1115, 5241, 299, 26361, 38583}},
-{4139, 16, 7630, {1, 3, 1, 9, 3, 63, 7, 133, 421, 325, 823, 1175, 6201, 5707, 31539, 34645}},
-{4140, 16, 7653, {1, 3, 7, 5, 27, 27, 107, 239, 247, 257, 1367, 3685, 7839, 11693, 3237, 13085}},
-{4141, 16, 7657, {1, 1, 1, 3, 27, 41, 51, 69, 271, 809, 1453, 519, 1301, 2367, 637, 5267}},
-{4142, 16, 7671, {1, 3, 7, 13, 19, 17, 3, 69, 369, 447, 1685, 4075, 6143, 11387, 5411, 29825}},
-{4143, 16, 7672, {1, 1, 3, 1, 25, 61, 79, 163, 1, 905, 1969, 2735, 7709, 16121, 20441, 4543}},
-{4144, 16, 7715, {1, 3, 7, 5, 15, 29, 7, 245, 343, 803, 1719, 3993, 983, 2925, 10393, 6053}},
-{4145, 16, 7717, {1, 3, 1, 7, 17, 55, 63, 29, 441, 387, 885, 3269, 1977, 1927, 3657, 47043}},
-{4146, 16, 7732, {1, 1, 3, 1, 17, 59, 51, 9, 173, 327, 1185, 3241, 3785, 10907, 19429, 22209}},
-{4147, 16, 7735, {1, 1, 3, 13, 21, 57, 125, 5, 359, 437, 1231, 2441, 5813, 9991, 283, 52555}},
-{4148, 16, 7753, {1, 3, 1, 7, 15, 19, 39, 125, 405, 381, 1757, 4075, 5565, 2065, 295, 8867}},
-{4149, 16, 7811, {1, 3, 3, 11, 7, 33, 95, 19, 253, 141, 1093, 1787, 7495, 5229, 15923, 44157}},
-{4150, 16, 7817, {1, 3, 7, 15, 1, 49, 69, 163, 85, 345, 901, 2329, 8003, 9915, 2209, 33979}},
-{4151, 16, 7825, {1, 1, 1, 9, 23, 51, 125, 163, 257, 681, 565, 945, 6375, 8679, 5985, 28919}},
-{4152, 16, 7832, {1, 3, 5, 7, 11, 23, 123, 231, 377, 121, 1519, 2061, 2957, 14537, 17625, 37773}},
-{4153, 16, 7838, {1, 3, 5, 1, 17, 43, 89, 119, 455, 279, 1857, 3405, 5225, 13035, 6055, 30861}},
-{4154, 16, 7841, {1, 3, 7, 15, 31, 63, 25, 225, 3, 527, 355, 1435, 5763, 15203, 26579, 45659}},
-{4155, 16, 7844, {1, 1, 1, 3, 27, 43, 71, 193, 135, 5, 683, 925, 7023, 7711, 2807, 56003}},
-{4156, 16, 7859, {1, 1, 1, 11, 3, 3, 109, 29, 109, 683, 419, 3295, 1961, 5953, 8887, 1523}},
-{4157, 16, 7861, {1, 3, 3, 11, 17, 39, 19, 225, 103, 249, 81, 3875, 4515, 3969, 24745, 60031}},
-{4158, 16, 7873, {1, 1, 3, 3, 3, 23, 15, 149, 305, 399, 1347, 1001, 597, 10003, 22123, 29919}},
-{4159, 16, 7880, {1, 3, 5, 1, 23, 35, 123, 7, 283, 283, 759, 3061, 2011, 7771, 32201, 40667}},
-{4160, 16, 7897, {1, 3, 7, 15, 23, 5, 81, 51, 357, 79, 133, 285, 425, 7743, 13499, 18983}},
-{4161, 16, 7904, {1, 3, 3, 5, 17, 37, 75, 221, 473, 111, 335, 683, 7353, 2283, 13457, 61171}},
-{4162, 16, 7910, {1, 3, 1, 7, 13, 45, 13, 223, 149, 209, 727, 3553, 2573, 177, 855, 44139}},
-{4163, 16, 7960, {1, 1, 3, 15, 23, 5, 103, 139, 17, 29, 1961, 3021, 5745, 12963, 30669, 44171}},
-{4164, 16, 7969, {1, 3, 1, 1, 3, 33, 67, 203, 29, 785, 71, 1693, 4487, 10221, 24523, 51223}},
-{4165, 16, 7970, {1, 1, 5, 7, 7, 27, 17, 183, 229, 669, 1675, 3751, 3233, 10677, 7509, 52313}},
-{4166, 16, 7976, {1, 1, 5, 5, 25, 35, 21, 163, 483, 399, 195, 3465, 6349, 545, 18861, 31759}},
-{4167, 16, 7979, {1, 3, 1, 5, 15, 39, 13, 157, 71, 841, 447, 3625, 53, 12745, 2719, 27617}},
-{4168, 16, 8007, {1, 1, 5, 5, 3, 45, 113, 121, 263, 887, 709, 2189, 3811, 1409, 10451, 48777}},
-{4169, 16, 8041, {1, 1, 5, 15, 9, 41, 31, 95, 377, 215, 437, 3633, 433, 11935, 15283, 55451}},
-{4170, 16, 8047, {1, 1, 7, 7, 13, 23, 79, 3, 451, 409, 1103, 1771, 553, 3175, 28703, 49357}},
-{4171, 16, 8052, {1, 3, 1, 1, 13, 33, 95, 133, 419, 851, 955, 3985, 5869, 14219, 253, 46883}},
-{4172, 16, 8061, {1, 3, 3, 3, 23, 55, 91, 207, 281, 355, 361, 261, 6837, 4401, 25455, 25313}},
-{4173, 16, 8078, {1, 3, 5, 9, 27, 9, 107, 51, 69, 555, 835, 3541, 1827, 5737, 31225, 55619}},
-{4174, 16, 8128, {1, 1, 1, 11, 27, 51, 79, 85, 447, 447, 9, 2803, 377, 4347, 2183, 61257}},
-{4175, 16, 8146, {1, 1, 1, 3, 23, 21, 51, 217, 297, 135, 573, 689, 4947, 14143, 26247, 43061}},
-{4176, 16, 8162, {1, 3, 1, 7, 15, 13, 27, 151, 463, 707, 43, 3641, 4999, 3783, 9083, 22085}},
-{4177, 16, 8250, {1, 3, 3, 5, 3, 1, 15, 119, 343, 605, 105, 2939, 2259, 889, 21759, 34073}},
-{4178, 16, 8270, {1, 1, 1, 7, 3, 63, 103, 1, 235, 317, 263, 2701, 7331, 15921, 17295, 613}},
-{4179, 16, 8294, {1, 1, 7, 3, 19, 3, 5, 17, 105, 491, 755, 233, 5397, 12365, 16325, 59377}},
-{4180, 16, 8324, {1, 3, 3, 15, 15, 27, 37, 151, 481, 949, 1473, 233, 1925, 15471, 24957, 3241}},
-{4181, 16, 8351, {1, 1, 7, 5, 9, 61, 49, 91, 169, 179, 701, 3957, 473, 15087, 6109, 25083}},
-{4182, 16, 8357, {1, 3, 3, 11, 27, 43, 5, 33, 69, 705, 733, 2675, 2677, 4235, 11109, 15557}},
-{4183, 16, 8361, {1, 3, 1, 3, 17, 19, 101, 119, 289, 341, 1395, 563, 6859, 10359, 10077, 26905}},
-{4184, 16, 8364, {1, 1, 1, 15, 21, 47, 41, 145, 439, 583, 1755, 1977, 5235, 15961, 21315, 60577}},
-{4185, 16, 8393, {1, 1, 5, 3, 9, 59, 71, 143, 27, 1007, 313, 1567, 1685, 11063, 28889, 44253}},
-{4186, 16, 8396, {1, 1, 5, 5, 29, 29, 43, 127, 13, 585, 1245, 187, 2697, 8791, 19561, 6463}},
-{4187, 16, 8407, {1, 1, 3, 11, 29, 39, 127, 75, 23, 521, 421, 3115, 139, 5429, 23341, 58035}},
-{4188, 16, 8413, {1, 1, 3, 1, 27, 35, 27, 9, 185, 653, 887, 2715, 3775, 1753, 22105, 62095}},
-{4189, 16, 8414, {1, 1, 5, 5, 5, 63, 23, 31, 317, 1001, 1751, 1185, 7933, 525, 30501, 15565}},
-{4190, 16, 8432, {1, 1, 1, 5, 9, 27, 79, 91, 453, 995, 1041, 3213, 8027, 5855, 7435, 64079}},
-{4191, 16, 8435, {1, 1, 3, 11, 1, 51, 27, 195, 139, 41, 1891, 1437, 1033, 11671, 3235, 35083}},
-{4192, 16, 8441, {1, 3, 1, 3, 11, 25, 33, 249, 373, 497, 1631, 293, 3657, 10741, 15831, 59545}},
-{4193, 16, 8447, {1, 1, 1, 1, 15, 63, 13, 165, 113, 559, 1615, 3579, 1993, 1907, 22335, 47791}},
-{4194, 16, 8449, {1, 1, 3, 15, 13, 49, 63, 235, 31, 811, 1729, 221, 5143, 11547, 30029, 52003}},
-{4195, 16, 8456, {1, 1, 5, 13, 29, 61, 25, 221, 421, 221, 583, 373, 2341, 7493, 13981, 54141}},
-{4196, 16, 8485, {1, 1, 5, 11, 21, 49, 71, 249, 237, 369, 1273, 1067, 4411, 409, 7219, 52933}},
-{4197, 16, 8504, {1, 3, 1, 1, 13, 23, 53, 15, 137, 553, 401, 2247, 5591, 14021, 445, 20433}},
-{4198, 16, 8512, {1, 1, 7, 7, 7, 23, 19, 189, 119, 643, 847, 2123, 5343, 11839, 4575, 60461}},
-{4199, 16, 8532, {1, 1, 5, 5, 11, 19, 111, 219, 185, 499, 595, 723, 3519, 10891, 27603, 29261}},
-{4200, 16, 8551, {1, 3, 3, 1, 9, 13, 95, 227, 459, 133, 1535, 3481, 7187, 14797, 16511, 6737}},
-{4201, 16, 8560, {1, 1, 7, 7, 19, 57, 117, 7, 455, 941, 455, 797, 6313, 10071, 18651, 25013}},
-{4202, 16, 8566, {1, 3, 7, 3, 25, 25, 79, 19, 383, 971, 1625, 2803, 2461, 633, 32317, 48407}},
-{4203, 16, 8581, {1, 1, 7, 7, 25, 43, 93, 135, 155, 685, 2001, 3007, 7315, 15555, 30401, 36291}},
-{4204, 16, 8609, {1, 1, 1, 5, 13, 33, 123, 221, 341, 105, 1075, 3125, 5323, 14293, 29875, 52215}},
-{4205, 16, 8639, {1, 1, 3, 9, 29, 51, 25, 59, 171, 563, 1695, 2845, 6067, 10671, 2909, 33977}},
-{4206, 16, 8641, {1, 3, 3, 7, 25, 21, 39, 65, 485, 949, 1773, 2775, 6019, 14587, 6715, 54793}},
-{4207, 16, 8671, {1, 1, 7, 11, 17, 57, 125, 17, 111, 167, 289, 3939, 7357, 2289, 1717, 45225}},
-{4208, 16, 8695, {1, 1, 7, 7, 21, 55, 3, 139, 471, 747, 1437, 1353, 7657, 13133, 14193, 38191}},
-{4209, 16, 8701, {1, 3, 5, 7, 25, 57, 55, 17, 315, 159, 437, 933, 7493, 6025, 2775, 24287}},
-{4210, 16, 8711, {1, 1, 7, 1, 15, 45, 67, 191, 355, 681, 1763, 1237, 105, 1425, 26089, 42879}},
-{4211, 16, 8739, {1, 1, 5, 13, 13, 53, 25, 127, 103, 155, 935, 2561, 475, 4341, 30541, 43835}},
-{4212, 16, 8763, {1, 1, 5, 15, 27, 59, 99, 173, 189, 41, 105, 3287, 4071, 15005, 18301, 34487}},
-{4213, 16, 8778, {1, 1, 5, 11, 21, 9, 57, 115, 495, 561, 579, 397, 3049, 2007, 5041, 37345}},
-{4214, 16, 8783, {1, 1, 5, 11, 15, 11, 101, 241, 69, 483, 1007, 4069, 5221, 5323, 20177, 24397}},
-{4215, 16, 8785, {1, 1, 1, 7, 29, 15, 119, 161, 21, 517, 847, 2217, 4487, 4817, 24053, 21683}},
-{4216, 16, 8797, {1, 3, 1, 3, 3, 51, 85, 63, 345, 799, 1699, 3961, 7109, 3931, 28173, 46851}},
-{4217, 16, 8802, {1, 1, 5, 7, 15, 25, 97, 139, 331, 969, 1129, 2451, 3107, 12235, 12949, 29837}},
-{4218, 16, 8816, {1, 3, 7, 1, 19, 21, 51, 155, 295, 565, 29, 2107, 341, 14611, 15281, 50727}},
-{4219, 16, 8828, {1, 3, 1, 11, 3, 37, 13, 217, 429, 217, 301, 1217, 5655, 13845, 32465, 23559}},
-{4220, 16, 8837, {1, 3, 3, 9, 9, 57, 79, 231, 433, 703, 699, 3813, 7035, 5885, 19185, 52551}},
-{4221, 16, 8852, {1, 1, 1, 5, 19, 17, 31, 209, 49, 515, 279, 909, 5881, 2673, 23635, 23101}},
-{4222, 16, 8859, {1, 1, 5, 7, 3, 3, 119, 139, 245, 775, 1009, 1157, 1405, 9737, 17671, 62981}},
-{4223, 16, 8889, {1, 3, 7, 11, 17, 21, 105, 21, 67, 871, 233, 3607, 571, 9141, 9751, 28093}},
-{4224, 16, 8900, {1, 1, 3, 13, 5, 53, 91, 181, 143, 375, 1113, 705, 837, 10505, 11459, 57753}},
-{4225, 16, 8903, {1, 3, 5, 11, 9, 19, 107, 229, 305, 107, 1027, 691, 4677, 8987, 7931, 951}},
-{4226, 16, 8909, {1, 1, 7, 9, 9, 17, 39, 195, 103, 315, 517, 123, 7167, 7039, 3571, 40469}},
-{4227, 16, 8910, {1, 1, 1, 5, 1, 21, 121, 53, 427, 111, 717, 1065, 2843, 5873, 28411, 42443}},
-{4228, 16, 8922, {1, 1, 3, 11, 27, 7, 37, 255, 429, 363, 997, 2429, 6871, 1271, 29375, 62897}},
-{4229, 16, 8924, {1, 3, 3, 13, 23, 23, 123, 119, 213, 51, 771, 1603, 1621, 1497, 23667, 13443}},
-{4230, 16, 8955, {1, 1, 3, 13, 17, 21, 81, 17, 211, 815, 1751, 3875, 4001, 3927, 6185, 28753}},
-{4231, 16, 8958, {1, 3, 1, 5, 13, 41, 23, 187, 475, 353, 1307, 543, 5077, 3459, 20553, 29119}},
-{4232, 16, 8980, {1, 1, 1, 7, 1, 39, 3, 247, 375, 101, 81, 1515, 1079, 15307, 18865, 63115}},
-{4233, 16, 8994, {1, 1, 5, 9, 23, 7, 61, 45, 379, 553, 435, 1805, 4147, 2289, 22081, 40041}},
-{4234, 16, 9006, {1, 1, 7, 3, 17, 13, 107, 169, 119, 981, 1825, 3329, 7779, 12245, 28367, 6749}},
-{4235, 16, 9017, {1, 3, 3, 13, 29, 13, 93, 155, 331, 507, 1073, 279, 6615, 14077, 3005, 10171}},
-{4236, 16, 9032, {1, 1, 5, 7, 29, 23, 81, 181, 321, 921, 1531, 2607, 7291, 1255, 29889, 30095}},
-{4237, 16, 9040, {1, 1, 1, 5, 7, 1, 9, 231, 203, 559, 243, 3999, 3649, 7939, 14729, 34771}},
-{4238, 16, 9061, {1, 3, 7, 3, 17, 29, 79, 251, 305, 641, 1125, 1155, 7139, 6721, 43, 34927}},
-{4239, 16, 9066, {1, 1, 5, 13, 21, 39, 55, 103, 143, 487, 849, 1111, 1105, 8483, 5417, 10521}},
-{4240, 16, 9071, {1, 1, 5, 5, 19, 5, 111, 49, 95, 917, 843, 2539, 6831, 9019, 16045, 59363}},
-{4241, 16, 9076, {1, 3, 3, 11, 7, 45, 87, 51, 49, 615, 603, 1623, 5351, 11939, 21945, 40539}},
-{4242, 16, 9086, {1, 1, 5, 9, 9, 33, 113, 37, 163, 853, 1313, 4021, 965, 11465, 8573, 24425}},
-{4243, 16, 9104, {1, 3, 3, 9, 17, 19, 121, 95, 93, 441, 1951, 3335, 6279, 16087, 14763, 60771}},
-{4244, 16, 9150, {1, 3, 3, 9, 13, 15, 19, 129, 257, 641, 533, 1667, 5959, 2259, 10439, 29745}},
-{4245, 16, 9161, {1, 1, 7, 7, 11, 31, 45, 247, 233, 101, 899, 2033, 7803, 11423, 30645, 7723}},
-{4246, 16, 9164, {1, 3, 5, 11, 23, 3, 69, 79, 319, 125, 1463, 2047, 7311, 5819, 445, 13725}},
-{4247, 16, 9185, {1, 1, 1, 3, 7, 43, 83, 89, 467, 709, 1993, 3773, 7805, 305, 15701, 51101}},
-{4248, 16, 9188, {1, 1, 7, 5, 19, 53, 77, 237, 27, 853, 1003, 2041, 5739, 4663, 9783, 23761}},
-{4249, 16, 9212, {1, 1, 3, 7, 19, 31, 71, 33, 479, 693, 1503, 9, 2779, 1481, 9413, 36227}},
-{4250, 16, 9230, {1, 3, 1, 11, 9, 23, 1, 99, 247, 33, 1987, 1577, 8029, 7785, 29947, 38751}},
-{4251, 16, 9242, {1, 1, 1, 3, 15, 57, 23, 53, 431, 553, 1433, 2447, 1871, 10701, 30961, 12281}},
-{4252, 16, 9247, {1, 3, 5, 9, 11, 49, 123, 91, 87, 155, 301, 3339, 6183, 15895, 17309, 45927}},
-{4253, 16, 9260, {1, 1, 1, 9, 9, 41, 79, 123, 261, 547, 1931, 2553, 7405, 14431, 24079, 20769}},
-{4254, 16, 9280, {1, 3, 1, 3, 31, 17, 17, 137, 419, 591, 1693, 3977, 861, 16025, 189, 60995}},
-{4255, 16, 9300, {1, 3, 7, 11, 19, 47, 107, 243, 87, 135, 507, 189, 1397, 3841, 22999, 50781}},
-{4256, 16, 9313, {1, 3, 5, 5, 15, 11, 19, 239, 133, 295, 673, 2389, 4753, 4363, 21669, 25579}},
-{4257, 16, 9325, {1, 3, 5, 7, 19, 43, 55, 129, 239, 89, 1731, 1381, 5483, 11773, 9201, 17745}},
-{4258, 16, 9343, {1, 3, 1, 13, 3, 15, 77, 131, 417, 845, 1953, 2871, 1789, 10343, 11363, 20699}},
-{4259, 16, 9349, {1, 3, 7, 1, 9, 43, 55, 223, 239, 317, 1951, 2725, 209, 3853, 2201, 6839}},
-{4260, 16, 9354, {1, 3, 1, 3, 7, 35, 29, 21, 149, 779, 467, 65, 811, 4859, 14021, 38429}},
-{4261, 16, 9367, {1, 3, 7, 1, 19, 31, 97, 9, 11, 415, 689, 1513, 2475, 5039, 5669, 65103}},
-{4262, 16, 9368, {1, 3, 3, 3, 11, 25, 37, 247, 189, 911, 429, 2395, 3653, 79, 28115, 23513}},
-{4263, 16, 9455, {1, 1, 5, 5, 5, 27, 25, 45, 291, 455, 741, 2259, 8131, 11779, 14693, 58729}},
-{4264, 16, 9458, {1, 3, 3, 7, 21, 33, 67, 49, 153, 491, 1811, 1955, 925, 15555, 13801, 48717}},
-{4265, 16, 9469, {1, 3, 1, 3, 11, 53, 105, 129, 457, 225, 497, 1123, 973, 2901, 26655, 3643}},
-{4266, 16, 9481, {1, 1, 7, 13, 29, 49, 71, 37, 321, 865, 735, 357, 7629, 6011, 28221, 39041}},
-{4267, 16, 9482, {1, 3, 5, 3, 19, 59, 65, 199, 69, 391, 1735, 3075, 287, 16213, 3211, 22425}},
-{4268, 16, 9495, {1, 1, 1, 5, 15, 61, 67, 255, 5, 689, 759, 155, 7245, 5881, 21685, 3863}},
-{4269, 16, 9526, {1, 1, 3, 11, 23, 63, 69, 241, 359, 735, 371, 603, 2707, 15833, 31795, 14901}},
-{4270, 16, 9530, {1, 1, 1, 7, 19, 33, 83, 19, 13, 667, 317, 3891, 5497, 8213, 4913, 22387}},
-{4271, 16, 9558, {1, 3, 5, 9, 13, 21, 11, 187, 249, 647, 349, 605, 2199, 5033, 29773, 48953}},
-{4272, 16, 9562, {1, 3, 3, 11, 3, 3, 93, 235, 441, 933, 383, 2007, 4015, 4175, 3937, 20623}},
-{4273, 16, 9573, {1, 3, 7, 13, 3, 61, 87, 219, 263, 651, 1343, 2709, 31, 16249, 4749, 28909}},
-{4274, 16, 9583, {1, 3, 1, 1, 17, 19, 101, 107, 499, 127, 13, 2123, 5597, 3751, 14527, 12009}},
-{4275, 16, 9595, {1, 3, 5, 13, 27, 57, 1, 195, 107, 947, 1475, 2831, 6449, 16117, 20555, 61513}},
-{4276, 16, 9597, {1, 3, 1, 9, 9, 47, 89, 187, 401, 299, 637, 197, 1235, 12655, 25025, 24443}},
-{4277, 16, 9616, {1, 1, 3, 5, 9, 57, 33, 41, 451, 983, 391, 2707, 705, 13913, 28843, 34091}},
-{4278, 16, 9638, {1, 3, 5, 3, 29, 19, 61, 31, 349, 253, 1267, 3345, 2151, 11309, 19623, 62407}},
-{4279, 16, 9649, {1, 1, 1, 3, 11, 37, 31, 59, 1, 253, 103, 2811, 1871, 4239, 26311, 32507}},
-{4280, 16, 9662, {1, 1, 5, 7, 7, 7, 69, 63, 281, 901, 1785, 2131, 4265, 253, 13997, 30177}},
-{4281, 16, 9691, {1, 3, 1, 11, 3, 27, 111, 67, 411, 751, 241, 293, 6271, 4187, 22119, 63737}},
-{4282, 16, 9700, {1, 3, 5, 5, 27, 19, 45, 203, 81, 59, 1839, 935, 4847, 1869, 12037, 30971}},
-{4283, 16, 9703, {1, 1, 3, 9, 19, 25, 9, 27, 373, 875, 1735, 689, 2957, 7873, 29771, 4093}},
-{4284, 16, 9710, {1, 1, 7, 11, 13, 39, 11, 129, 53, 433, 1731, 899, 5855, 10221, 24165, 50205}},
-{4285, 16, 9721, {1, 3, 1, 15, 25, 31, 85, 49, 325, 299, 183, 287, 2425, 15353, 25999, 59129}},
-{4286, 16, 9724, {1, 1, 5, 5, 17, 25, 23, 5, 287, 677, 591, 981, 429, 15297, 14573, 61095}},
-{4287, 16, 9727, {1, 1, 5, 15, 5, 15, 67, 195, 209, 341, 1621, 1379, 3031, 5469, 31563, 49291}},
-{4288, 16, 9743, {1, 1, 1, 1, 25, 33, 61, 201, 15, 125, 969, 1965, 2021, 10253, 23801, 28165}},
-{4289, 16, 9779, {1, 1, 5, 5, 13, 17, 5, 245, 11, 133, 287, 1929, 4331, 15919, 29663, 10243}},
-{4290, 16, 9785, {1, 1, 7, 9, 19, 33, 39, 191, 489, 631, 69, 1883, 2183, 14993, 32715, 62217}},
-{4291, 16, 9811, {1, 3, 3, 13, 23, 61, 103, 193, 501, 431, 437, 417, 6557, 11701, 27577, 42943}},
-{4292, 16, 9820, {1, 3, 3, 9, 9, 27, 69, 247, 469, 841, 733, 813, 2673, 7145, 5385, 44917}},
-{4293, 16, 9827, {1, 1, 7, 9, 5, 13, 19, 71, 323, 923, 1885, 3031, 4507, 13787, 14149, 1483}},
-{4294, 16, 9851, {1, 3, 1, 5, 1, 15, 89, 229, 301, 733, 1343, 2415, 6463, 1875, 9293, 6037}},
-{4295, 16, 9854, {1, 3, 1, 5, 29, 57, 67, 121, 311, 441, 1079, 1963, 7137, 6745, 9893, 22811}},
-{4296, 16, 9863, {1, 1, 7, 7, 25, 13, 27, 61, 331, 361, 481, 3783, 3061, 7827, 18885, 27583}},
-{4297, 16, 9884, {1, 3, 1, 5, 17, 47, 19, 83, 309, 65, 1573, 3437, 5623, 12691, 21075, 27789}},
-{4298, 16, 9894, {1, 1, 7, 9, 13, 51, 7, 209, 131, 111, 1143, 53, 7277, 9297, 20869, 33121}},
-{4299, 16, 9903, {1, 1, 3, 9, 13, 17, 57, 89, 239, 281, 775, 333, 5631, 2805, 10195, 9665}},
-{4300, 16, 9908, {1, 1, 3, 7, 19, 39, 71, 79, 63, 551, 103, 3169, 2761, 13929, 20751, 18951}},
-{4301, 16, 9912, {1, 1, 7, 11, 5, 23, 7, 249, 447, 483, 433, 3117, 1421, 14991, 5397, 19813}},
-{4302, 16, 9925, {1, 3, 1, 13, 3, 9, 109, 241, 181, 33, 853, 3939, 3751, 2151, 28375, 64443}},
-{4303, 16, 9926, {1, 1, 7, 7, 3, 33, 65, 211, 251, 631, 1819, 3913, 3353, 12975, 19117, 51515}},
-{4304, 16, 9971, {1, 1, 1, 13, 3, 21, 9, 203, 223, 229, 1399, 117, 6297, 11535, 16383, 12541}},
-{4305, 16, 9973, {1, 1, 5, 7, 25, 9, 53, 27, 497, 103, 1915, 2179, 3679, 11375, 18907, 63385}},
-{4306, 16, 9977, {1, 3, 1, 5, 1, 53, 91, 169, 87, 387, 377, 1121, 7241, 5133, 1949, 13433}},
-{4307, 16, 10021, {1, 1, 1, 3, 27, 35, 61, 189, 241, 445, 287, 325, 127, 2363, 30663, 43557}},
-{4308, 16, 10039, {1, 3, 1, 3, 17, 47, 59, 237, 213, 979, 807, 85, 4621, 9915, 13631, 55657}},
-{4309, 16, 10048, {1, 3, 5, 7, 27, 5, 101, 89, 495, 675, 1181, 2295, 1913, 3731, 32639, 58297}},
-{4310, 16, 10051, {1, 3, 3, 11, 5, 41, 49, 229, 93, 659, 927, 3425, 4083, 11859, 10603, 20631}},
-{4311, 16, 10065, {1, 3, 5, 11, 31, 51, 67, 69, 253, 497, 1665, 1985, 5439, 15999, 4175, 62175}},
-{4312, 16, 10071, {1, 1, 7, 11, 1, 21, 95, 19, 205, 513, 1329, 1821, 1251, 2381, 32623, 23923}},
-{4313, 16, 10072, {1, 1, 5, 13, 3, 1, 29, 175, 315, 865, 599, 1695, 1391, 2313, 31035, 19159}},
-{4314, 16, 10101, {1, 3, 3, 1, 3, 45, 109, 93, 481, 285, 869, 3441, 3715, 1355, 9581, 50173}},
-{4315, 16, 10106, {1, 3, 7, 7, 15, 35, 107, 107, 315, 213, 281, 2073, 4689, 5877, 31, 40967}},
-{4316, 16, 10130, {1, 1, 3, 11, 11, 3, 73, 41, 79, 37, 481, 1993, 931, 7677, 11321, 45735}},
-{4317, 16, 10136, {1, 1, 7, 1, 15, 21, 65, 237, 263, 849, 863, 4039, 3171, 13381, 30373, 51639}},
-{4318, 16, 10148, {1, 1, 1, 3, 21, 57, 113, 3, 487, 41, 1277, 633, 2839, 4977, 14537, 31749}},
-{4319, 16, 10155, {1, 1, 5, 1, 1, 55, 71, 181, 147, 895, 1839, 2157, 3187, 6403, 30367, 48915}},
-{4320, 16, 10157, {1, 1, 5, 3, 9, 17, 19, 127, 115, 875, 831, 2439, 7475, 1921, 18657, 27709}},
-{4321, 16, 10160, {1, 3, 3, 13, 29, 11, 35, 81, 291, 483, 625, 3957, 6017, 12543, 18773, 2471}},
-{4322, 16, 10166, {1, 3, 3, 13, 11, 39, 7, 85, 493, 209, 819, 3277, 4275, 8997, 22943, 33199}},
-{4323, 16, 10183, {1, 1, 1, 7, 11, 25, 1, 57, 505, 135, 1713, 3051, 5893, 10711, 10681, 12235}},
-{4324, 16, 10192, {1, 3, 5, 11, 23, 33, 13, 107, 289, 251, 235, 1747, 4097, 12237, 17559, 5063}},
-{4325, 16, 10225, {1, 3, 3, 9, 19, 17, 23, 45, 297, 147, 1301, 2057, 7871, 9971, 1965, 62449}},
-{4326, 16, 10241, {1, 1, 7, 3, 17, 21, 19, 203, 289, 897, 1967, 3519, 3261, 8199, 24181, 23273}},
-{4327, 16, 10247, {1, 1, 7, 11, 1, 17, 25, 63, 509, 969, 47, 1329, 701, 5227, 419, 14839}},
-{4328, 16, 10284, {1, 3, 5, 11, 1, 41, 81, 157, 395, 97, 1919, 3043, 6015, 15, 23733, 55485}},
-{4329, 16, 10304, {1, 1, 3, 11, 17, 37, 17, 181, 179, 297, 1007, 1559, 6275, 11645, 7535, 28941}},
-{4330, 16, 10322, {1, 3, 7, 15, 5, 47, 31, 237, 215, 563, 207, 1867, 6635, 6857, 11837, 22865}},
-{4331, 16, 10331, {1, 3, 1, 7, 7, 39, 51, 179, 57, 987, 893, 2715, 1045, 5799, 19805, 54275}},
-{4332, 16, 10333, {1, 1, 7, 15, 25, 9, 127, 243, 323, 1013, 929, 2891, 7549, 1071, 17663, 15247}},
-{4333, 16, 10340, {1, 1, 1, 5, 25, 23, 101, 9, 371, 89, 1749, 3559, 8071, 13887, 14807, 42825}},
-{4334, 16, 10347, {1, 3, 3, 11, 21, 41, 3, 77, 3, 709, 1745, 3615, 4141, 5275, 28329, 59739}},
-{4335, 16, 10357, {1, 1, 7, 13, 1, 11, 73, 183, 363, 241, 863, 3983, 3235, 293, 649, 441}},
-{4336, 16, 10371, {1, 1, 5, 3, 13, 27, 13, 191, 57, 639, 1803, 2353, 3143, 12763, 5771, 36155}},
-{4337, 16, 10386, {1, 1, 5, 3, 1, 53, 85, 45, 283, 823, 1213, 3261, 4599, 13267, 4613, 12657}},
-{4338, 16, 10404, {1, 3, 5, 15, 27, 49, 59, 123, 357, 527, 337, 2751, 3999, 8525, 12501, 40621}},
-{4339, 16, 10414, {1, 1, 1, 7, 1, 55, 85, 17, 447, 599, 1315, 2313, 1649, 907, 25647, 3251}},
-{4340, 16, 10422, {1, 3, 5, 13, 9, 1, 37, 121, 143, 1, 631, 2273, 1673, 3649, 27533, 28731}},
-{4341, 16, 10448, {1, 1, 7, 13, 9, 31, 57, 249, 397, 815, 501, 895, 1217, 11387, 8635, 65193}},
-{4342, 16, 10451, {1, 1, 5, 5, 9, 35, 95, 193, 133, 513, 1929, 3841, 3063, 2383, 24413, 51185}},
-{4343, 16, 10473, {1, 1, 1, 13, 3, 49, 45, 191, 15, 181, 1819, 3741, 1227, 12775, 9461, 44951}},
-{4344, 16, 10479, {1, 1, 1, 1, 3, 45, 121, 19, 269, 829, 517, 3913, 183, 11019, 24969, 21973}},
-{4345, 16, 10501, {1, 1, 5, 11, 31, 39, 125, 189, 401, 57, 1557, 1727, 1415, 4025, 30353, 36589}},
-{4346, 16, 10530, {1, 1, 3, 9, 3, 55, 125, 187, 409, 499, 1853, 2781, 4323, 16159, 16345, 34659}},
-{4347, 16, 10542, {1, 3, 5, 11, 31, 5, 125, 137, 197, 475, 2003, 617, 1289, 8365, 28981, 57537}},
-{4348, 16, 10544, {1, 1, 1, 5, 19, 29, 83, 127, 311, 177, 1635, 2187, 5377, 12841, 7591, 6095}},
-{4349, 16, 10571, {1, 3, 5, 5, 21, 39, 65, 197, 115, 411, 1457, 3011, 7021, 14119, 61, 21107}},
-{4350, 16, 10628, {1, 3, 3, 9, 19, 57, 99, 23, 451, 507, 973, 415, 7123, 11367, 29767, 23763}},
-{4351, 16, 10643, {1, 1, 5, 7, 29, 23, 47, 11, 267, 873, 591, 373, 7097, 3783, 23289, 5547}},
-{4352, 16, 10673, {1, 1, 5, 15, 7, 7, 7, 91, 389, 841, 1995, 459, 7013, 3109, 23615, 21519}},
-{4353, 16, 10683, {1, 3, 1, 1, 13, 25, 87, 235, 193, 201, 713, 1633, 3117, 13609, 17211, 573}},
-{4354, 16, 10736, {1, 1, 1, 9, 27, 53, 105, 39, 217, 781, 997, 661, 6243, 6427, 17739, 62239}},
-{4355, 16, 10795, {1, 1, 7, 3, 3, 49, 75, 125, 239, 195, 215, 2983, 1185, 4743, 12069, 55509}},
-{4356, 16, 10797, {1, 1, 5, 15, 31, 11, 9, 91, 253, 361, 571, 1589, 2425, 4279, 3765, 46519}},
-{4357, 16, 10815, {1, 1, 3, 3, 21, 49, 49, 213, 399, 253, 1565, 2447, 453, 7957, 24799, 58503}},
-{4358, 16, 10817, {1, 1, 7, 1, 5, 59, 81, 97, 209, 477, 17, 3085, 3655, 599, 24011, 14981}},
-{4359, 16, 10842, {1, 3, 3, 13, 19, 49, 7, 35, 111, 169, 629, 1587, 5345, 13699, 21187, 30199}},
-{4360, 16, 10844, {1, 1, 3, 13, 19, 59, 73, 127, 475, 509, 9, 2661, 711, 15835, 31429, 33885}},
-{4361, 16, 10863, {1, 3, 5, 3, 31, 15, 43, 185, 29, 897, 1041, 1057, 6285, 13925, 4023, 25741}},
-{4362, 16, 10899, {1, 3, 5, 11, 1, 33, 63, 155, 175, 501, 1147, 3395, 3285, 16237, 22315, 50945}},
-{4363, 16, 10902, {1, 3, 3, 3, 5, 13, 77, 227, 85, 139, 139, 1, 7147, 2023, 32705, 38753}},
-{4364, 16, 10917, {1, 3, 5, 11, 31, 59, 35, 179, 489, 537, 1537, 2877, 4937, 10825, 2445, 34907}},
-{4365, 16, 10953, {1, 3, 7, 11, 17, 17, 95, 223, 165, 925, 829, 3971, 1, 7393, 8825, 25705}},
-{4366, 16, 10967, {1, 1, 1, 1, 25, 17, 25, 143, 385, 907, 1381, 1823, 3819, 8475, 5321, 12037}},
-{4367, 16, 11002, {1, 1, 5, 11, 7, 47, 97, 85, 105, 23, 263, 1329, 1905, 12121, 29635, 41249}},
-{4368, 16, 11024, {1, 1, 7, 11, 1, 51, 13, 13, 5, 143, 83, 3831, 959, 6083, 16997, 59887}},
-{4369, 16, 11029, {1, 3, 3, 13, 25, 9, 31, 5, 215, 791, 767, 1733, 2715, 14283, 25795, 54249}},
-{4370, 16, 11030, {1, 3, 7, 5, 11, 19, 125, 81, 71, 131, 1869, 1111, 6763, 5275, 23095, 1139}},
-{4371, 16, 11043, {1, 3, 3, 9, 25, 43, 119, 49, 133, 217, 521, 1367, 5867, 6829, 29871, 60383}},
-{4372, 16, 11087, {1, 1, 7, 9, 5, 11, 59, 157, 279, 301, 481, 3273, 7943, 3273, 27783, 17271}},
-{4373, 16, 11106, {1, 3, 3, 13, 11, 57, 13, 5, 435, 169, 541, 517, 2359, 9121, 27911, 15679}},
-{4374, 16, 11130, {1, 1, 3, 9, 9, 55, 65, 113, 21, 807, 373, 2825, 1527, 15565, 8339, 7227}},
-{4375, 16, 11156, {1, 3, 5, 9, 1, 1, 49, 255, 477, 821, 1647, 713, 6841, 3187, 22649, 51469}},
-{4376, 16, 11176, {1, 3, 3, 11, 13, 43, 63, 139, 71, 809, 993, 2429, 833, 6545, 10987, 39567}},
-{4377, 16, 11221, {1, 1, 1, 9, 19, 23, 47, 199, 191, 827, 391, 837, 1209, 2493, 24071, 46589}},
-{4378, 16, 11267, {1, 1, 5, 13, 25, 51, 39, 43, 103, 899, 1729, 2389, 2965, 189, 3063, 50609}},
-{4379, 16, 11282, {1, 1, 3, 1, 5, 29, 105, 201, 503, 199, 507, 205, 2389, 695, 15233, 50353}},
-{4380, 16, 11294, {1, 3, 1, 7, 19, 53, 45, 21, 89, 545, 1885, 765, 6673, 13485, 9987, 2609}},
-{4381, 16, 11332, {1, 3, 7, 13, 17, 7, 59, 23, 159, 309, 1407, 2483, 1807, 15733, 5603, 52989}},
-{4382, 16, 11353, {1, 1, 1, 11, 13, 19, 123, 185, 413, 745, 361, 2391, 6697, 2281, 11999, 13175}},
-{4383, 16, 11369, {1, 3, 5, 5, 11, 49, 123, 173, 325, 667, 895, 1067, 8121, 10577, 30561, 17391}},
-{4384, 16, 11372, {1, 1, 5, 5, 23, 21, 77, 223, 281, 161, 141, 345, 3879, 11393, 26907, 53805}},
-{4385, 16, 11375, {1, 3, 3, 5, 3, 47, 17, 109, 185, 139, 957, 1417, 4553, 6101, 29537, 34821}},
-{4386, 16, 11413, {1, 1, 5, 3, 29, 49, 89, 61, 45, 593, 269, 1483, 2971, 991, 21239, 29301}},
-{4387, 16, 11429, {1, 1, 3, 13, 29, 45, 33, 253, 291, 783, 737, 2363, 2651, 8627, 21785, 58419}},
-{4388, 16, 11430, {1, 3, 7, 15, 29, 15, 81, 185, 363, 681, 1737, 3789, 4365, 3295, 23205, 4457}},
-{4389, 16, 11444, {1, 3, 3, 11, 15, 39, 67, 167, 197, 357, 871, 2201, 5377, 6299, 20873, 59283}},
-{4390, 16, 11462, {1, 3, 3, 5, 9, 15, 127, 49, 21, 719, 357, 425, 5507, 9639, 275, 47503}},
-{4391, 16, 11465, {1, 1, 7, 1, 13, 63, 111, 121, 21, 481, 247, 3147, 5783, 8947, 20809, 42039}},
-{4392, 16, 11471, {1, 1, 3, 3, 31, 33, 9, 69, 187, 517, 2029, 2205, 7661, 4757, 27525, 9665}},
-{4393, 16, 11473, {1, 1, 1, 13, 7, 41, 103, 161, 233, 221, 693, 213, 4609, 7771, 28703, 17407}},
-{4394, 16, 11495, {1, 3, 7, 15, 31, 47, 27, 111, 479, 1003, 1687, 347, 2179, 11861, 8169, 31941}},
-{4395, 16, 11499, {1, 1, 3, 5, 5, 63, 25, 125, 199, 147, 589, 3565, 3449, 8331, 8923, 31207}},
-{4396, 16, 11519, {1, 1, 3, 11, 19, 25, 77, 99, 299, 19, 1641, 2193, 4299, 3635, 20621, 267}},
-{4397, 16, 11562, {1, 3, 7, 11, 9, 59, 7, 167, 1, 775, 29, 1935, 3723, 11835, 2887, 65285}},
-{4398, 16, 11576, {1, 1, 7, 13, 5, 47, 101, 155, 235, 93, 465, 3581, 1837, 7675, 10789, 45167}},
-{4399, 16, 11582, {1, 1, 3, 5, 9, 59, 121, 109, 59, 821, 1625, 343, 1591, 3875, 13729, 56381}},
-{4400, 16, 11596, {1, 1, 1, 9, 27, 53, 93, 215, 133, 561, 39, 2591, 1041, 11913, 24493, 37921}},
-{4401, 16, 11602, {1, 1, 1, 7, 23, 7, 81, 107, 219, 943, 563, 1083, 5803, 5687, 32559, 62727}},
-{4402, 16, 11611, {1, 3, 7, 7, 21, 53, 3, 5, 231, 601, 1561, 103, 3837, 2675, 5263, 23375}},
-{4403, 16, 11627, {1, 1, 3, 13, 15, 27, 89, 7, 251, 887, 951, 3001, 5687, 4921, 5091, 59337}},
-{4404, 16, 11682, {1, 3, 7, 15, 25, 53, 19, 155, 185, 503, 547, 1917, 7633, 15167, 14177, 46761}},
-{4405, 16, 11687, {1, 3, 5, 15, 21, 49, 13, 163, 471, 281, 1141, 3013, 6847, 9261, 15955, 9397}},
-{4406, 16, 11691, {1, 3, 3, 3, 1, 21, 19, 239, 479, 609, 65, 2735, 5337, 6293, 19351, 34135}},
-{4407, 16, 11733, {1, 1, 7, 1, 9, 1, 119, 23, 411, 535, 101, 1597, 2379, 2421, 31471, 36473}},
-{4408, 16, 11747, {1, 3, 1, 11, 31, 63, 17, 225, 45, 409, 59, 3943, 8043, 11759, 10667, 58793}},
-{4409, 16, 11759, {1, 1, 3, 3, 9, 49, 61, 239, 245, 765, 1945, 3567, 5355, 14799, 7141, 59511}},
-{4410, 16, 11778, {1, 3, 7, 9, 3, 33, 103, 99, 35, 799, 1347, 2253, 8189, 14177, 13479, 13749}},
-{4411, 16, 11852, {1, 3, 1, 15, 15, 51, 7, 179, 471, 265, 1571, 2983, 701, 15133, 7885, 29977}},
-{4412, 16, 11857, {1, 1, 5, 9, 15, 37, 49, 213, 113, 729, 1115, 2727, 2635, 8433, 11145, 46779}},
-{4413, 16, 11858, {1, 3, 5, 11, 7, 3, 115, 151, 133, 723, 7, 4063, 5807, 9845, 25829, 29315}},
-{4414, 16, 11893, {1, 3, 5, 9, 25, 55, 17, 135, 145, 379, 1603, 3459, 5773, 6545, 17509, 25847}},
-{4415, 16, 11907, {1, 1, 7, 11, 1, 61, 113, 147, 489, 775, 1347, 2199, 299, 9589, 19931, 1335}},
-{4416, 16, 11928, {1, 3, 1, 3, 1, 7, 27, 243, 355, 425, 1215, 3723, 3489, 9285, 12739, 24797}},
-{4417, 16, 11931, {1, 3, 5, 11, 15, 25, 57, 221, 247, 647, 259, 1665, 7055, 2835, 16411, 42999}},
-{4418, 16, 11933, {1, 1, 3, 7, 9, 25, 61, 233, 73, 235, 1539, 1865, 5671, 1329, 5767, 43039}},
-{4419, 16, 11967, {1, 1, 7, 9, 21, 11, 123, 7, 41, 407, 1485, 1723, 585, 10597, 16215, 63403}},
-{4420, 16, 11976, {1, 1, 5, 7, 27, 9, 123, 101, 273, 673, 1141, 3841, 4041, 13169, 8221, 12915}},
-{4421, 16, 11989, {1, 3, 1, 13, 3, 17, 105, 17, 237, 321, 855, 2821, 2467, 3503, 15187, 1689}},
-{4422, 16, 12003, {1, 1, 5, 5, 19, 23, 9, 205, 87, 153, 1543, 1193, 6619, 6845, 8459, 37533}},
-{4423, 16, 12024, {1, 1, 7, 15, 13, 29, 79, 9, 203, 211, 239, 2349, 3447, 7797, 19311, 58071}},
-{4424, 16, 12030, {1, 3, 5, 11, 5, 49, 71, 151, 333, 895, 1095, 2471, 2477, 14493, 16711, 14393}},
-{4425, 16, 12037, {1, 1, 5, 13, 17, 19, 25, 149, 111, 631, 763, 2535, 3631, 1809, 8163, 18037}},
-{4426, 16, 12044, {1, 3, 3, 13, 23, 61, 25, 179, 351, 247, 1021, 2413, 2585, 3731, 5435, 52723}},
-{4427, 16, 12052, {1, 1, 5, 11, 1, 39, 65, 59, 21, 927, 1989, 2823, 4857, 15521, 30495, 16067}},
-{4428, 16, 12059, {1, 3, 3, 7, 17, 5, 17, 125, 379, 875, 1565, 2435, 933, 6809, 20129, 26339}},
-{4429, 16, 12075, {1, 1, 7, 5, 3, 57, 51, 213, 455, 663, 2007, 3995, 4889, 9527, 23507, 3261}},
-{4430, 16, 12083, {1, 3, 7, 5, 1, 29, 85, 151, 165, 123, 1425, 2851, 4427, 7683, 21085, 28925}},
-{4431, 16, 12117, {1, 1, 5, 3, 11, 33, 127, 3, 41, 591, 1539, 3823, 125, 421, 9051, 55025}},
-{4432, 16, 12138, {1, 3, 1, 5, 7, 9, 69, 35, 59, 477, 1207, 1245, 6423, 11329, 26535, 37621}},
-{4433, 16, 12146, {1, 3, 1, 1, 15, 35, 17, 123, 303, 193, 1489, 2587, 1883, 4063, 1921, 60413}},
-{4434, 16, 12202, {1, 1, 5, 1, 7, 61, 39, 247, 139, 1015, 757, 823, 4757, 9307, 32287, 37241}},
-{4435, 16, 12230, {1, 1, 7, 15, 3, 5, 85, 93, 457, 999, 1331, 919, 5271, 11687, 24233, 38803}},
-{4436, 16, 12254, {1, 3, 3, 9, 5, 43, 37, 13, 505, 603, 1857, 2675, 2017, 9481, 10873, 54755}},
-{4437, 16, 12304, {1, 1, 5, 15, 13, 3, 7, 239, 471, 835, 553, 413, 4029, 8613, 15533, 58987}},
-{4438, 16, 12316, {1, 3, 1, 5, 19, 27, 21, 43, 57, 755, 1245, 2805, 3799, 2013, 21145, 10317}},
-{4439, 16, 12337, {1, 3, 5, 13, 9, 23, 35, 5, 315, 169, 399, 2641, 1525, 10561, 11917, 33009}},
-{4440, 16, 12347, {1, 3, 5, 7, 23, 53, 101, 105, 451, 207, 1271, 3067, 6725, 15525, 7951, 1283}},
-{4441, 16, 12367, {1, 1, 5, 5, 27, 21, 77, 143, 213, 443, 149, 2667, 5269, 10359, 25287, 5843}},
-{4442, 16, 12398, {1, 3, 5, 5, 25, 27, 109, 157, 459, 767, 765, 2667, 1833, 3781, 9077, 64321}},
-{4443, 16, 12421, {1, 3, 3, 13, 31, 25, 97, 237, 279, 431, 1713, 809, 1989, 10431, 5867, 42197}},
-{4444, 16, 12428, {1, 3, 7, 3, 9, 5, 5, 191, 73, 521, 787, 903, 3073, 2067, 24741, 57029}},
-{4445, 16, 12446, {1, 3, 3, 1, 3, 41, 125, 53, 125, 781, 865, 3677, 6279, 357, 10667, 1127}},
-{4446, 16, 12449, {1, 1, 5, 11, 25, 19, 99, 121, 359, 73, 607, 2149, 5739, 15669, 29457, 57549}},
-{4447, 16, 12467, {1, 1, 5, 3, 23, 5, 35, 55, 369, 239, 329, 3057, 3757, 12523, 5017, 52185}},
-{4448, 16, 12479, {1, 3, 3, 13, 17, 61, 69, 165, 267, 323, 2007, 2025, 4423, 15975, 31897, 37013}},
-{4449, 16, 12502, {1, 3, 7, 13, 19, 19, 87, 111, 389, 611, 1523, 963, 4671, 12569, 21839, 10919}},
-{4450, 16, 12521, {1, 1, 1, 3, 1, 27, 13, 227, 29, 457, 221, 127, 5335, 16247, 19559, 19185}},
-{4451, 16, 12553, {1, 3, 5, 7, 29, 21, 23, 157, 197, 87, 1591, 1829, 407, 15885, 14933, 1997}},
-{4452, 16, 12568, {1, 1, 1, 9, 3, 35, 43, 187, 195, 325, 197, 2905, 7323, 1563, 7659, 45185}},
-{4453, 16, 12573, {1, 1, 1, 15, 3, 23, 105, 33, 73, 495, 1409, 2583, 1099, 1041, 28955, 60293}},
-{4454, 16, 12592, {1, 3, 7, 13, 25, 19, 99, 137, 139, 719, 529, 1147, 5813, 11551, 30183, 14593}},
-{4455, 16, 12597, {1, 3, 3, 5, 17, 25, 73, 193, 309, 887, 1655, 1641, 2091, 12087, 21881, 1145}},
-{4456, 16, 12601, {1, 3, 1, 1, 27, 41, 13, 151, 83, 645, 327, 1795, 2717, 12433, 22751, 9823}},
-{4457, 16, 12615, {1, 1, 3, 7, 1, 43, 77, 229, 59, 499, 1883, 135, 3461, 9821, 219, 6111}},
-{4458, 16, 12619, {1, 3, 3, 3, 23, 7, 17, 67, 361, 565, 1621, 3253, 7973, 281, 3209, 48215}},
-{4459, 16, 12694, {1, 1, 3, 7, 31, 15, 97, 141, 197, 883, 1689, 269, 7487, 10403, 18903, 58147}},
-{4460, 16, 12697, {1, 3, 3, 3, 23, 9, 87, 125, 359, 527, 1251, 637, 1145, 12721, 14693, 6021}},
-{4461, 16, 12698, {1, 1, 3, 5, 13, 43, 105, 173, 205, 859, 1237, 1227, 1409, 15513, 25317, 30745}},
-{4462, 16, 12713, {1, 3, 3, 15, 31, 43, 125, 149, 145, 109, 975, 1167, 7629, 8373, 5923, 64117}},
-{4463, 16, 12722, {1, 3, 1, 15, 3, 33, 89, 173, 379, 615, 1401, 1567, 4453, 7461, 32555, 64369}},
-{4464, 16, 12733, {1, 3, 7, 11, 27, 23, 45, 7, 15, 21, 1663, 3327, 5611, 8535, 27669, 25525}},
-{4465, 16, 12736, {1, 1, 3, 15, 15, 61, 127, 145, 151, 41, 629, 767, 5801, 3395, 1157, 30033}},
-{4466, 16, 12790, {1, 1, 1, 5, 9, 63, 73, 9, 299, 237, 369, 1295, 4869, 6821, 19961, 32129}},
-{4467, 16, 12794, {1, 1, 5, 13, 19, 7, 119, 35, 319, 405, 1255, 1299, 4311, 14999, 24567, 4001}},
-{4468, 16, 12803, {1, 1, 1, 13, 9, 39, 13, 207, 355, 691, 37, 3137, 6073, 16179, 28661, 41}},
-{4469, 16, 12815, {1, 1, 3, 7, 21, 3, 123, 27, 187, 183, 769, 2367, 2957, 7065, 17855, 60805}},
-{4470, 16, 12829, {1, 1, 1, 1, 19, 31, 71, 85, 303, 617, 1007, 283, 8087, 11079, 11463, 65295}},
-{4471, 16, 12833, {1, 1, 3, 13, 25, 63, 61, 187, 401, 465, 1485, 801, 3649, 7763, 8495, 54479}},
-{4472, 16, 12840, {1, 3, 7, 3, 13, 51, 41, 119, 311, 699, 1113, 3631, 1981, 3259, 25871, 45659}},
-{4473, 16, 12875, {1, 3, 7, 13, 31, 27, 57, 181, 325, 107, 1745, 635, 3941, 3305, 14563, 29855}},
-{4474, 16, 12877, {1, 3, 7, 15, 5, 55, 5, 147, 365, 485, 1841, 3673, 6513, 11121, 5725, 18027}},
-{4475, 16, 12916, {1, 3, 5, 11, 13, 45, 35, 79, 109, 683, 1171, 3015, 2163, 4823, 4365, 42931}},
-{4476, 16, 12923, {1, 1, 7, 7, 13, 45, 57, 39, 297, 985, 1559, 487, 5071, 2657, 9401, 41889}},
-{4477, 16, 12935, {1, 1, 5, 9, 29, 33, 79, 237, 509, 537, 549, 3657, 7141, 15189, 30853, 36089}},
-{4478, 16, 12949, {1, 3, 5, 7, 31, 15, 75, 73, 237, 273, 865, 743, 2607, 7611, 18441, 12703}},
-{4479, 16, 12954, {1, 1, 1, 9, 27, 9, 35, 137, 265, 181, 1341, 1945, 5615, 161, 18369, 4791}},
-{4480, 16, 12956, {1, 3, 7, 11, 27, 29, 29, 43, 489, 177, 1489, 2927, 623, 14571, 22447, 46905}},
-{4481, 16, 12959, {1, 3, 3, 3, 19, 41, 107, 53, 239, 263, 1433, 1655, 7991, 7405, 2735, 25519}},
-{4482, 16, 12978, {1, 3, 5, 7, 19, 37, 73, 243, 215, 445, 1781, 3223, 187, 8443, 18185, 45093}},
-{4483, 16, 13001, {1, 1, 3, 13, 9, 57, 111, 111, 221, 505, 1261, 3045, 1655, 16247, 21033, 17993}},
-{4484, 16, 13010, {1, 1, 7, 5, 7, 55, 77, 5, 131, 969, 1481, 2883, 2645, 3003, 5601, 37063}},
-{4485, 16, 13043, {1, 1, 5, 15, 29, 55, 39, 197, 349, 29, 341, 67, 1977, 425, 4063, 42705}},
-{4486, 16, 13049, {1, 1, 7, 13, 1, 57, 81, 81, 129, 681, 1407, 2465, 3627, 2325, 31649, 18449}},
-{4487, 16, 13058, {1, 3, 5, 5, 23, 59, 35, 217, 393, 155, 1315, 105, 2285, 5167, 27997, 55193}},
-{4488, 16, 13112, {1, 1, 7, 3, 11, 59, 53, 179, 319, 819, 947, 3881, 765, 4219, 16405, 48055}},
-{4489, 16, 13140, {1, 1, 3, 9, 23, 9, 67, 67, 137, 523, 1585, 2441, 167, 5217, 12031, 14297}},
-{4490, 16, 13149, {1, 1, 5, 13, 31, 63, 121, 91, 439, 917, 203, 1519, 4363, 2391, 25755, 26677}},
-{4491, 16, 13163, {1, 1, 3, 5, 25, 31, 11, 95, 339, 817, 35, 3923, 7365, 10537, 5521, 54579}},
-{4492, 16, 13187, {1, 3, 7, 1, 3, 33, 47, 13, 139, 445, 1357, 3907, 7495, 8789, 26589, 43479}},
-{4493, 16, 13196, {1, 1, 1, 11, 5, 45, 61, 13, 167, 287, 931, 881, 5713, 12937, 12951, 21597}},
-{4494, 16, 13237, {1, 3, 5, 1, 29, 23, 7, 117, 503, 897, 733, 1113, 7205, 11507, 561, 34011}},
-{4495, 16, 13244, {1, 3, 5, 7, 3, 51, 21, 147, 35, 259, 689, 3801, 2481, 9673, 4065, 595}},
-{4496, 16, 13264, {1, 3, 3, 9, 9, 29, 5, 191, 393, 979, 1627, 937, 75, 2339, 24007, 30555}},
-{4497, 16, 13279, {1, 1, 5, 7, 9, 35, 111, 23, 113, 563, 1689, 1575, 6127, 9919, 2555, 52261}},
-{4498, 16, 13292, {1, 3, 1, 5, 31, 21, 117, 159, 473, 279, 1281, 311, 159, 3343, 27761, 59989}},
-{4499, 16, 13295, {1, 1, 5, 1, 23, 31, 67, 241, 401, 69, 933, 777, 267, 12411, 23767, 9047}},
-{4500, 16, 13307, {1, 1, 5, 1, 15, 49, 99, 15, 267, 913, 1581, 3713, 651, 14275, 10103, 57619}},
-{4501, 16, 13312, {1, 3, 5, 9, 19, 23, 95, 5, 449, 153, 1195, 1315, 2347, 12683, 10865, 50703}},
-{4502, 16, 13317, {1, 1, 1, 13, 17, 17, 115, 31, 135, 725, 795, 1695, 6199, 4179, 5223, 48457}},
-{4503, 16, 13327, {1, 3, 5, 15, 31, 15, 3, 247, 385, 269, 1665, 581, 2809, 6333, 7459, 14815}},
-{4504, 16, 13348, {1, 3, 7, 5, 15, 35, 117, 85, 11, 621, 1523, 981, 511, 14113, 4673, 22683}},
-{4505, 16, 13390, {1, 1, 7, 1, 27, 61, 119, 249, 431, 147, 173, 423, 1353, 4747, 12761, 32947}},
-{4506, 16, 13413, {1, 3, 7, 1, 23, 39, 15, 153, 219, 359, 1233, 169, 2817, 11043, 12435, 30135}},
-{4507, 16, 13417, {1, 1, 5, 1, 1, 55, 39, 1, 151, 865, 125, 2351, 6315, 1165, 20163, 43991}},
-{4508, 16, 13418, {1, 1, 3, 9, 25, 41, 115, 221, 129, 265, 1887, 4057, 7523, 13591, 5735, 59645}},
-{4509, 16, 13451, {1, 1, 5, 5, 19, 15, 9, 77, 511, 627, 153, 2015, 247, 15949, 9715, 45411}},
-{4510, 16, 13475, {1, 1, 7, 7, 17, 17, 107, 183, 39, 647, 1339, 3915, 4937, 537, 27011, 58937}},
-{4511, 16, 13482, {1, 3, 3, 13, 3, 3, 69, 201, 431, 65, 683, 121, 7017, 2791, 16713, 62555}},
-{4512, 16, 13510, {1, 3, 7, 3, 7, 41, 117, 237, 23, 757, 545, 3899, 1837, 5555, 7891, 29151}},
-{4513, 16, 13527, {1, 1, 1, 3, 27, 15, 39, 195, 353, 299, 1431, 2279, 1795, 13773, 24915, 49701}},
-{4514, 16, 13543, {1, 1, 5, 5, 7, 7, 125, 5, 401, 523, 1967, 2471, 7279, 7559, 12025, 60599}},
-{4515, 16, 13547, {1, 1, 1, 13, 13, 59, 13, 249, 465, 847, 1483, 975, 7729, 2773, 15745, 51237}},
-{4516, 16, 13627, {1, 1, 7, 9, 31, 41, 115, 141, 247, 355, 1109, 3239, 6495, 4515, 30145, 47705}},
-{4517, 16, 13650, {1, 1, 3, 13, 29, 41, 69, 179, 45, 271, 1909, 3095, 7199, 14049, 9903, 33383}},
-{4518, 16, 13683, {1, 1, 3, 13, 7, 45, 105, 105, 243, 121, 67, 3169, 237, 137, 4175, 54325}},
-{4519, 16, 13696, {1, 3, 3, 11, 19, 51, 93, 155, 79, 579, 1621, 1251, 7639, 15875, 25815, 56063}},
-{4520, 16, 13702, {1, 3, 3, 9, 27, 27, 77, 45, 217, 965, 1045, 875, 4515, 11261, 27859, 757}},
-{4521, 16, 13713, {1, 1, 3, 11, 17, 7, 81, 37, 299, 765, 977, 3371, 3163, 13267, 18345, 9239}},
-{4522, 16, 13739, {1, 1, 1, 3, 15, 23, 115, 11, 183, 511, 557, 3253, 153, 8465, 22659, 42143}},
-{4523, 16, 13749, {1, 1, 5, 13, 17, 61, 127, 219, 225, 981, 615, 731, 4069, 12637, 11601, 38257}},
-{4524, 16, 13767, {1, 1, 5, 3, 29, 3, 73, 79, 393, 779, 823, 2473, 3811, 4417, 9399, 50011}},
-{4525, 16, 13774, {1, 3, 3, 9, 21, 35, 61, 99, 115, 657, 629, 1129, 2355, 12665, 459, 40831}},
-{4526, 16, 13781, {1, 3, 1, 7, 25, 61, 53, 249, 15, 649, 665, 595, 1441, 8035, 5381, 7147}},
-{4527, 16, 13795, {1, 3, 1, 7, 19, 9, 27, 207, 205, 461, 1069, 4039, 6549, 2333, 29, 50067}},
-{4528, 16, 13821, {1, 1, 5, 3, 15, 7, 115, 205, 71, 73, 53, 71, 6049, 15293, 17041, 20313}},
-{4529, 16, 13825, {1, 1, 7, 7, 9, 7, 119, 99, 357, 729, 2041, 3355, 5333, 1263, 30521, 64867}},
-{4530, 16, 13838, {1, 1, 1, 7, 31, 63, 63, 159, 281, 295, 913, 2161, 8033, 13789, 17711, 14915}},
-{4531, 16, 13852, {1, 1, 7, 9, 29, 55, 69, 129, 453, 361, 1883, 17, 1765, 111, 10311, 55019}},
-{4532, 16, 13879, {1, 1, 5, 9, 21, 15, 31, 57, 291, 915, 945, 1775, 5905, 9073, 3271, 15571}},
-{4533, 16, 13888, {1, 1, 1, 7, 21, 11, 1, 9, 167, 143, 1535, 1267, 6675, 13037, 19513, 52027}},
-{4534, 16, 13897, {1, 3, 3, 7, 31, 45, 57, 105, 63, 121, 631, 679, 3873, 16333, 32069, 64725}},
-{4535, 16, 13906, {1, 1, 1, 9, 23, 41, 29, 207, 489, 319, 905, 3147, 4195, 2697, 5281, 1771}},
-{4536, 16, 13939, {1, 1, 1, 9, 25, 33, 57, 201, 405, 111, 407, 3489, 449, 8601, 1273, 42105}},
-{4537, 16, 13962, {1, 1, 1, 3, 19, 45, 123, 159, 237, 173, 781, 787, 7537, 15453, 25567, 53729}},
-{4538, 16, 13981, {1, 1, 7, 3, 29, 9, 89, 207, 345, 685, 1701, 2859, 8065, 9289, 2459, 28367}},
-{4539, 16, 13985, {1, 3, 1, 3, 31, 41, 55, 241, 81, 1001, 595, 1725, 853, 11427, 20617, 1717}},
-{4540, 16, 14020, {1, 1, 3, 3, 9, 45, 121, 69, 177, 1017, 211, 2753, 6923, 1387, 32063, 45337}},
-{4541, 16, 14030, {1, 1, 5, 15, 21, 23, 95, 61, 485, 403, 619, 3035, 4881, 13423, 17815, 35221}},
-{4542, 16, 14041, {1, 1, 3, 3, 3, 59, 23, 69, 77, 309, 227, 2877, 3739, 3539, 20083, 23415}},
-{4543, 16, 14047, {1, 3, 7, 3, 17, 43, 95, 239, 223, 353, 1237, 3239, 1369, 7245, 32401, 63889}},
-{4544, 16, 14048, {1, 1, 1, 5, 25, 63, 123, 3, 291, 819, 793, 241, 5619, 8871, 18341, 2757}},
-{4545, 16, 14066, {1, 3, 7, 15, 3, 21, 17, 97, 395, 333, 909, 3783, 3635, 751, 24227, 44281}},
-{4546, 16, 14092, {1, 3, 7, 13, 29, 49, 123, 195, 191, 159, 211, 1887, 3047, 4871, 2607, 32425}},
-{4547, 16, 14120, {1, 1, 7, 7, 15, 57, 91, 255, 267, 897, 441, 1581, 953, 6951, 17275, 50229}},
-{4548, 16, 14126, {1, 3, 7, 15, 1, 35, 91, 219, 7, 117, 119, 2687, 1215, 9517, 10849, 28347}},
-{4549, 16, 14131, {1, 1, 1, 1, 21, 55, 67, 221, 503, 883, 1037, 2965, 1485, 8557, 28091, 25459}},
-{4550, 16, 14143, {1, 3, 5, 9, 19, 3, 73, 123, 95, 307, 1339, 3669, 5077, 12049, 523, 21457}},
-{4551, 16, 14146, {1, 3, 1, 13, 3, 1, 111, 97, 371, 697, 1989, 3715, 7875, 6841, 7009, 17809}},
-{4552, 16, 14152, {1, 1, 1, 9, 25, 21, 19, 43, 329, 531, 491, 1147, 1469, 12841, 29651, 29517}},
-{4553, 16, 14155, {1, 1, 5, 1, 15, 63, 101, 197, 477, 245, 341, 61, 3803, 10001, 5519, 19083}},
-{4554, 16, 14157, {1, 3, 7, 5, 13, 43, 7, 143, 291, 531, 1727, 871, 7091, 5737, 24285, 51017}},
-{4555, 16, 14188, {1, 3, 5, 1, 17, 13, 15, 85, 361, 153, 989, 1367, 4705, 3599, 4441, 52471}},
-{4556, 16, 14206, {1, 1, 7, 13, 21, 43, 111, 29, 299, 439, 1929, 283, 5901, 14113, 3929, 55843}},
-{4557, 16, 14243, {1, 3, 3, 9, 31, 59, 63, 43, 91, 171, 733, 1359, 425, 8505, 19777, 54723}},
-{4558, 16, 14278, {1, 1, 5, 7, 31, 1, 97, 253, 331, 307, 1749, 2115, 2535, 9945, 11013, 14231}},
-{4559, 16, 14308, {1, 1, 5, 11, 13, 7, 109, 237, 301, 383, 683, 1603, 6393, 2437, 12101, 1767}},
-{4560, 16, 14317, {1, 1, 3, 11, 15, 61, 119, 199, 109, 265, 1431, 1729, 3409, 10129, 16945, 34681}},
-{4561, 16, 14335, {1, 3, 7, 9, 13, 59, 121, 73, 29, 513, 279, 457, 7985, 15199, 10185, 33621}},
-{4562, 16, 14354, {1, 3, 7, 7, 23, 17, 27, 65, 387, 487, 1803, 2789, 461, 11201, 7001, 40229}},
-{4563, 16, 14356, {1, 1, 3, 15, 9, 13, 55, 127, 33, 513, 1055, 643, 505, 3005, 6121, 64147}},
-{4564, 16, 14379, {1, 3, 5, 15, 5, 11, 77, 233, 175, 691, 171, 2491, 6915, 14195, 7845, 36499}},
-{4565, 16, 14381, {1, 1, 5, 11, 19, 45, 103, 207, 99, 645, 1739, 1517, 5907, 16035, 14559, 44007}},
-{4566, 16, 14384, {1, 3, 7, 15, 21, 27, 53, 107, 89, 291, 983, 3527, 1025, 2985, 13747, 32715}},
-{4567, 16, 14389, {1, 1, 3, 15, 23, 17, 27, 209, 77, 959, 813, 3597, 5809, 693, 10325, 16855}},
-{4568, 16, 14390, {1, 1, 7, 11, 23, 53, 123, 99, 211, 935, 1371, 1657, 4699, 2683, 27933, 21451}},
-{4569, 16, 14414, {1, 3, 3, 3, 17, 21, 93, 201, 423, 351, 1639, 227, 5719, 13111, 5993, 44615}},
-{4570, 16, 14425, {1, 1, 7, 3, 13, 49, 59, 255, 213, 147, 1441, 3593, 6419, 15657, 1947, 62713}},
-{4571, 16, 14462, {1, 3, 1, 7, 7, 41, 79, 135, 275, 585, 925, 3139, 4351, 1827, 23533, 63031}},
-{4572, 16, 14472, {1, 1, 7, 3, 11, 1, 13, 149, 29, 897, 1043, 2393, 3931, 6741, 19973, 46303}},
-{4573, 16, 14508, {1, 1, 1, 13, 13, 57, 9, 253, 149, 67, 1531, 4049, 3013, 13947, 3371, 35317}},
-{4574, 16, 14511, {1, 3, 1, 1, 15, 19, 11, 125, 179, 383, 1273, 1551, 6441, 6579, 19659, 31005}},
-{4575, 16, 14519, {1, 1, 3, 15, 29, 37, 11, 199, 273, 663, 549, 3167, 2049, 8815, 30719, 47905}},
-{4576, 16, 14528, {1, 1, 1, 15, 7, 9, 113, 231, 155, 27, 419, 1303, 4493, 5633, 5743, 51335}},
-{4577, 16, 14561, {1, 3, 5, 13, 21, 35, 7, 63, 391, 637, 2011, 841, 5933, 10563, 7593, 34767}},
-{4578, 16, 14574, {1, 3, 1, 15, 19, 13, 89, 127, 507, 715, 1305, 2989, 7551, 1953, 26101, 54913}},
-{4579, 16, 14588, {1, 1, 5, 1, 1, 33, 101, 211, 173, 761, 177, 2721, 6949, 15801, 6639, 21405}},
-{4580, 16, 14594, {1, 3, 1, 13, 15, 23, 113, 177, 43, 743, 57, 3875, 7833, 13619, 17637, 5547}},
-{4581, 16, 14606, {1, 1, 3, 13, 21, 7, 123, 83, 391, 731, 597, 2595, 1949, 14619, 17141, 60595}},
-{4582, 16, 14614, {1, 3, 7, 13, 31, 55, 15, 43, 17, 855, 233, 1411, 1063, 12977, 22159, 59185}},
-{4583, 16, 14639, {1, 3, 7, 7, 17, 53, 67, 37, 245, 941, 1213, 1965, 6635, 10189, 12979, 63503}},
-{4584, 16, 14641, {1, 1, 5, 15, 31, 23, 15, 175, 177, 643, 1705, 3541, 2009, 12005, 27281, 16821}},
-{4585, 16, 14648, {1, 3, 1, 13, 27, 37, 1, 171, 255, 445, 171, 3555, 8169, 399, 20975, 36195}},
-{4586, 16, 14668, {1, 3, 7, 11, 13, 15, 123, 65, 173, 317, 1991, 2093, 8073, 12831, 15455, 30175}},
-{4587, 16, 14673, {1, 3, 1, 7, 5, 53, 59, 219, 407, 501, 875, 2627, 1335, 14387, 25523, 28337}},
-{4588, 16, 14679, {1, 3, 3, 13, 13, 41, 93, 125, 41, 461, 887, 1085, 3393, 11945, 16329, 43531}},
-{4589, 16, 14695, {1, 3, 1, 11, 21, 39, 1, 185, 429, 285, 443, 1165, 451, 10903, 31511, 50555}},
-{4590, 16, 14702, {1, 1, 7, 5, 11, 25, 61, 171, 493, 733, 215, 1871, 7783, 14113, 2061, 58961}},
-{4591, 16, 14704, {1, 1, 7, 7, 27, 23, 53, 45, 131, 301, 275, 3855, 4883, 6303, 25269, 12697}},
-{4592, 16, 14740, {1, 3, 5, 7, 11, 15, 71, 101, 377, 803, 1369, 3741, 633, 10571, 30659, 31101}},
-{4593, 16, 14754, {1, 1, 5, 15, 19, 53, 3, 153, 411, 685, 1405, 109, 5755, 13311, 3713, 24579}},
-{4594, 16, 14774, {1, 1, 3, 3, 27, 7, 89, 39, 5, 853, 1757, 2927, 2889, 9735, 17959, 39301}},
-{4595, 16, 14792, {1, 3, 1, 3, 13, 41, 57, 71, 187, 285, 825, 1807, 7261, 2645, 21861, 1839}},
-{4596, 16, 14797, {1, 3, 3, 5, 15, 21, 23, 7, 341, 981, 891, 721, 7221, 3137, 28725, 54993}},
-{4597, 16, 14806, {1, 1, 5, 3, 3, 61, 59, 97, 205, 359, 185, 3361, 7637, 15473, 6351, 62097}},
-{4598, 16, 14812, {1, 1, 1, 9, 13, 11, 123, 71, 199, 251, 535, 371, 1605, 12107, 13833, 2019}},
-{4599, 16, 14856, {1, 1, 7, 13, 27, 1, 43, 73, 409, 601, 1481, 649, 3293, 12257, 23377, 17225}},
-{4600, 16, 14876, {1, 1, 7, 11, 15, 55, 99, 45, 261, 461, 1507, 3575, 4425, 9895, 20191, 61863}},
-{4601, 16, 14900, {1, 3, 7, 1, 3, 7, 19, 85, 139, 691, 1685, 137, 7547, 16143, 14193, 52479}},
-{4602, 16, 14910, {1, 3, 5, 9, 17, 61, 7, 189, 31, 641, 1381, 3999, 4909, 8463, 31761, 54493}},
-{4603, 16, 14912, {1, 1, 5, 15, 17, 15, 69, 111, 55, 1011, 1859, 2643, 6043, 5125, 15875, 611}},
-{4604, 16, 14915, {1, 1, 3, 5, 3, 33, 73, 227, 327, 369, 189, 1841, 5625, 1179, 18651, 34951}},
-{4605, 16, 14922, {1, 3, 7, 13, 1, 17, 109, 149, 89, 889, 799, 3423, 2599, 14525, 12763, 23855}},
-{4606, 16, 14939, {1, 1, 3, 15, 5, 63, 87, 7, 63, 171, 1215, 557, 3009, 16305, 23517, 40101}},
-{4607, 16, 14946, {1, 1, 3, 3, 29, 31, 79, 183, 401, 813, 41, 1111, 5669, 15697, 7813, 10215}},
-{4608, 16, 14955, {1, 1, 5, 7, 9, 25, 25, 57, 343, 375, 535, 3405, 1909, 3201, 2417, 52285}},
-{4609, 16, 14966, {1, 1, 5, 9, 25, 19, 33, 183, 29, 991, 1045, 2249, 2933, 12525, 13943, 10423}},
-{4610, 16, 14976, {1, 3, 1, 7, 3, 45, 49, 37, 429, 67, 821, 1289, 7311, 16165, 25861, 57715}},
-{4611, 16, 14986, {1, 1, 7, 3, 19, 3, 33, 153, 505, 683, 611, 1691, 6421, 15517, 19161, 49013}},
-{4612, 16, 14993, {1, 3, 7, 7, 21, 21, 85, 55, 293, 199, 1671, 1881, 7147, 8241, 16173, 51873}},
-{4613, 16, 15012, {1, 3, 1, 15, 3, 61, 97, 191, 435, 511, 1599, 2705, 1897, 2607, 1801, 48583}},
-{4614, 16, 15041, {1, 1, 5, 3, 9, 23, 23, 185, 401, 947, 33, 385, 7491, 14129, 14561, 13759}},
-{4615, 16, 15053, {1, 3, 5, 15, 19, 21, 37, 233, 149, 673, 29, 1315, 3487, 6705, 28283, 43135}},
-{4616, 16, 15056, {1, 1, 1, 11, 9, 35, 101, 255, 345, 829, 689, 2747, 2145, 2101, 24863, 35529}},
-{4617, 16, 15059, {1, 3, 7, 9, 5, 5, 53, 247, 157, 729, 1621, 129, 2485, 5371, 11115, 47771}},
-{4618, 16, 15110, {1, 1, 3, 9, 29, 29, 13, 229, 87, 281, 1119, 1085, 4423, 1667, 27067, 50397}},
-{4619, 16, 15116, {1, 1, 3, 7, 11, 29, 77, 85, 121, 495, 501, 3209, 3531, 2307, 11367, 34135}},
-{4620, 16, 15133, {1, 1, 7, 9, 3, 37, 33, 209, 493, 869, 367, 3221, 1643, 3353, 22851, 4313}},
-{4621, 16, 15134, {1, 1, 1, 7, 15, 53, 27, 17, 29, 345, 821, 1831, 1963, 10089, 5101, 32689}},
-{4622, 16, 15137, {1, 1, 3, 9, 9, 61, 31, 215, 497, 591, 1301, 157, 3329, 13877, 9017, 34673}},
-{4623, 16, 15147, {1, 1, 5, 1, 29, 49, 93, 139, 279, 167, 143, 279, 6145, 6247, 519, 8869}},
-{4624, 16, 15182, {1, 3, 3, 1, 25, 41, 81, 219, 505, 335, 1941, 2963, 413, 775, 4181, 55269}},
-{4625, 16, 15203, {1, 1, 1, 11, 27, 23, 91, 9, 497, 811, 1469, 1999, 5377, 2943, 17635, 11151}},
-{4626, 16, 15215, {1, 1, 5, 15, 17, 23, 15, 235, 271, 749, 1873, 3805, 5405, 7421, 24339, 14351}},
-{4627, 16, 15245, {1, 3, 7, 1, 5, 61, 81, 9, 269, 43, 1391, 2711, 6973, 11299, 2263, 8715}},
-{4628, 16, 15246, {1, 1, 5, 13, 11, 1, 69, 235, 25, 227, 63, 2591, 913, 12555, 6263, 38981}},
-{4629, 16, 15264, {1, 3, 1, 7, 17, 7, 97, 251, 149, 959, 1895, 1179, 4031, 15975, 20313, 64067}},
-{4630, 16, 15269, {1, 3, 7, 15, 3, 17, 85, 229, 149, 925, 585, 3755, 2359, 13131, 12665, 28861}},
-{4631, 16, 15296, {1, 3, 3, 9, 5, 31, 107, 93, 347, 851, 1249, 2161, 6095, 8315, 20259, 39527}},
-{4632, 16, 15314, {1, 3, 7, 7, 21, 63, 85, 241, 501, 627, 1211, 1713, 6907, 4229, 7557, 55719}},
-{4633, 16, 15323, {1, 1, 1, 13, 19, 43, 21, 177, 13, 353, 679, 511, 5565, 993, 25345, 25087}},
-{4634, 16, 15364, {1, 3, 3, 15, 21, 15, 87, 83, 381, 547, 1429, 2417, 2425, 2097, 20889, 12353}},
-{4635, 16, 15386, {1, 3, 1, 11, 23, 21, 69, 147, 427, 271, 1829, 525, 2951, 10773, 32425, 17685}},
-{4636, 16, 15391, {1, 3, 1, 7, 15, 55, 21, 131, 195, 927, 635, 3505, 3817, 14883, 1149, 10079}},
-{4637, 16, 15436, {1, 3, 3, 9, 23, 15, 45, 147, 249, 87, 377, 1551, 4343, 15373, 2895, 44973}},
-{4638, 16, 15460, {1, 3, 1, 7, 31, 63, 67, 107, 109, 1019, 815, 231, 8135, 559, 8175, 21735}},
-{4639, 16, 15464, {1, 1, 5, 7, 7, 63, 103, 133, 167, 883, 1647, 2827, 6015, 8541, 16963, 37129}},
-{4640, 16, 15469, {1, 3, 5, 9, 27, 25, 59, 147, 29, 943, 865, 1233, 2165, 15259, 2235, 25831}},
-{4641, 16, 15470, {1, 1, 5, 7, 25, 5, 67, 89, 493, 111, 359, 1115, 7963, 6545, 7749, 29179}},
-{4642, 16, 15477, {1, 3, 7, 5, 19, 17, 89, 195, 337, 115, 1417, 3837, 4761, 1959, 16205, 61597}},
-{4643, 16, 15488, {1, 1, 5, 11, 25, 43, 3, 111, 491, 897, 1541, 909, 4751, 739, 7827, 64485}},
-{4644, 16, 15494, {1, 1, 5, 15, 19, 61, 39, 111, 451, 419, 1657, 2427, 4589, 5577, 23967, 19259}},
-{4645, 16, 15548, {1, 3, 3, 1, 31, 15, 7, 131, 329, 847, 537, 1775, 3833, 5683, 17267, 16389}},
-{4646, 16, 15551, {1, 1, 7, 1, 9, 29, 13, 25, 409, 513, 1695, 2175, 5099, 727, 5723, 43547}},
-{4647, 16, 15560, {1, 1, 5, 7, 13, 11, 29, 123, 127, 193, 1647, 3157, 2149, 16209, 19909, 14473}},
-{4648, 16, 15563, {1, 1, 1, 15, 15, 37, 125, 157, 487, 143, 1891, 2895, 4397, 10685, 1463, 55027}},
-{4649, 16, 15604, {1, 3, 7, 1, 1, 15, 115, 105, 479, 529, 1095, 2687, 4483, 15027, 15487, 7113}},
-{4650, 16, 15607, {1, 1, 3, 9, 23, 63, 113, 211, 155, 931, 175, 3037, 2359, 10413, 24561, 21099}},
-{4651, 16, 15616, {1, 3, 3, 11, 5, 15, 13, 37, 257, 447, 203, 545, 2467, 9979, 17543, 62703}},
-{4652, 16, 15631, {1, 1, 3, 7, 17, 31, 83, 91, 79, 265, 1415, 2347, 5337, 7615, 27739, 33841}},
-{4653, 16, 15699, {1, 3, 5, 7, 17, 63, 37, 153, 347, 909, 1945, 7, 2071, 15195, 32083, 26713}},
-{4654, 16, 15701, {1, 1, 3, 11, 19, 51, 69, 21, 323, 635, 443, 1685, 6275, 13787, 20921, 45553}},
-{4655, 16, 15708, {1, 3, 3, 7, 15, 35, 67, 247, 257, 429, 2029, 523, 3219, 3893, 26677, 53273}},
-{4656, 16, 15739, {1, 1, 7, 9, 9, 3, 119, 121, 445, 149, 1539, 1887, 2995, 14867, 809, 48065}},
-{4657, 16, 15746, {1, 3, 5, 13, 15, 27, 75, 9, 217, 35, 1363, 2383, 4357, 1153, 20565, 62277}},
-{4658, 16, 15772, {1, 1, 7, 1, 21, 1, 11, 53, 331, 765, 407, 453, 2725, 11199, 645, 14915}},
-{4659, 16, 15793, {1, 1, 5, 1, 29, 11, 5, 159, 395, 53, 323, 1347, 5529, 8525, 24003, 20535}},
-{4660, 16, 15832, {1, 3, 3, 15, 9, 19, 87, 181, 391, 639, 703, 611, 997, 359, 2471, 58465}},
-{4661, 16, 15837, {1, 3, 5, 9, 27, 9, 117, 47, 223, 509, 1537, 1235, 3885, 6767, 17131, 63421}},
-{4662, 16, 15866, {1, 1, 5, 1, 15, 15, 113, 67, 477, 597, 1795, 3065, 4565, 3609, 16419, 19667}},
-{4663, 16, 15899, {1, 1, 7, 11, 1, 63, 33, 211, 271, 773, 499, 2309, 1303, 14015, 30377, 53195}},
-{4664, 16, 15911, {1, 1, 7, 11, 5, 23, 17, 183, 321, 315, 203, 3371, 907, 9331, 21031, 33765}},
-{4665, 16, 15918, {1, 3, 3, 7, 7, 53, 111, 69, 441, 283, 195, 2415, 7293, 7659, 2731, 5417}},
-{4666, 16, 15952, {1, 3, 5, 15, 3, 61, 5, 241, 427, 463, 1729, 653, 7671, 10979, 7247, 36931}},
-{4667, 16, 15962, {1, 3, 1, 9, 3, 5, 105, 117, 465, 853, 2005, 3925, 4419, 4441, 3701, 50747}},
-{4668, 16, 15967, {1, 1, 3, 7, 1, 3, 3, 149, 65, 405, 299, 99, 481, 14323, 11565, 6227}},
-{4669, 16, 15973, {1, 3, 7, 5, 29, 3, 19, 3, 253, 895, 879, 2435, 2151, 10673, 11013, 43055}},
-{4670, 16, 15977, {1, 3, 1, 11, 15, 57, 127, 197, 319, 913, 1039, 811, 7767, 5791, 31725, 8733}},
-{4671, 16, 16016, {1, 1, 7, 3, 13, 25, 25, 81, 229, 185, 39, 2789, 579, 4973, 28617, 60871}},
-{4672, 16, 16035, {1, 1, 7, 3, 25, 17, 41, 7, 103, 269, 55, 2651, 7579, 10935, 8917, 14323}},
-{4673, 16, 16044, {1, 3, 7, 7, 13, 7, 99, 205, 293, 877, 1893, 3013, 2389, 6021, 2645, 18175}},
-{4674, 16, 16067, {1, 1, 3, 7, 9, 39, 59, 187, 191, 761, 339, 3381, 2921, 5197, 16963, 43019}},
-{4675, 16, 16082, {1, 3, 3, 13, 7, 23, 41, 203, 311, 981, 323, 1675, 6689, 579, 3885, 64475}},
-{4676, 16, 16084, {1, 3, 5, 15, 21, 39, 35, 193, 167, 1009, 493, 829, 6571, 1299, 13061, 1163}},
-{4677, 16, 16098, {1, 1, 3, 5, 3, 19, 123, 123, 111, 599, 193, 3419, 7173, 5595, 12449, 52247}},
-{4678, 16, 16107, {1, 3, 5, 11, 9, 25, 65, 49, 239, 953, 481, 3455, 4335, 305, 22469, 11949}},
-{4679, 16, 16142, {1, 1, 3, 7, 15, 1, 13, 77, 147, 49, 1445, 931, 3405, 15951, 15215, 26451}},
-{4680, 16, 16149, {1, 3, 1, 1, 21, 53, 17, 7, 247, 243, 805, 795, 489, 13351, 13493, 30937}},
-{4681, 16, 16165, {1, 3, 7, 5, 5, 13, 39, 115, 397, 757, 423, 2559, 1677, 9449, 24563, 869}},
-{4682, 16, 16172, {1, 1, 3, 11, 23, 9, 27, 233, 165, 853, 1721, 599, 551, 11657, 27623, 40119}},
-{4683, 16, 16178, {1, 1, 3, 1, 3, 47, 75, 207, 113, 417, 1317, 2215, 2395, 1841, 23125, 50401}},
-{4684, 16, 16197, {1, 3, 3, 1, 13, 55, 103, 55, 351, 785, 1665, 3603, 7705, 4811, 21129, 38115}},
-{4685, 16, 16201, {1, 1, 1, 5, 5, 49, 93, 189, 317, 701, 1545, 1017, 4133, 7655, 19827, 52155}},
-{4686, 16, 16215, {1, 3, 3, 13, 17, 37, 7, 249, 139, 529, 235, 3801, 7871, 459, 15127, 13231}},
-{4687, 16, 16221, {1, 3, 7, 5, 7, 63, 99, 241, 131, 455, 1287, 3539, 8029, 12661, 23313, 54029}},
-{4688, 16, 16226, {1, 3, 1, 3, 29, 63, 51, 227, 497, 685, 1351, 449, 7851, 10815, 17379, 62097}},
-{4689, 16, 16232, {1, 3, 1, 11, 25, 61, 73, 29, 467, 533, 855, 853, 5557, 10953, 18307, 27135}},
-{4690, 16, 16246, {1, 1, 7, 3, 13, 49, 63, 171, 177, 283, 1365, 3087, 5445, 15109, 12523, 25193}},
-{4691, 16, 16261, {1, 3, 5, 15, 9, 39, 95, 81, 417, 199, 1653, 3673, 2663, 8101, 12199, 22759}},
-{4692, 16, 16279, {1, 1, 3, 9, 29, 15, 29, 215, 21, 721, 245, 1197, 7251, 5721, 6735, 7751}},
-{4693, 16, 16280, {1, 3, 5, 5, 21, 7, 81, 61, 157, 707, 819, 1689, 4203, 5559, 25483, 43325}},
-{4694, 16, 16290, {1, 1, 7, 13, 15, 51, 47, 197, 269, 921, 353, 2865, 6227, 537, 20015, 53823}},
-{4695, 16, 16314, {1, 1, 3, 5, 13, 25, 91, 221, 111, 587, 1119, 2343, 4651, 4641, 15915, 36323}},
-{4696, 16, 16345, {1, 1, 7, 11, 1, 45, 7, 215, 483, 545, 731, 3041, 3121, 8681, 20651, 4069}},
-{4697, 16, 16355, {1, 3, 7, 13, 13, 27, 109, 65, 103, 805, 299, 2069, 6017, 14565, 20505, 16161}},
-{4698, 16, 16361, {1, 1, 7, 5, 11, 33, 105, 213, 237, 583, 1033, 2333, 845, 6493, 505, 2563}},
-{4699, 16, 16393, {1, 1, 5, 7, 3, 5, 11, 173, 373, 341, 269, 177, 3175, 9413, 601, 13591}},
-{4700, 16, 16394, {1, 1, 5, 13, 7, 57, 61, 187, 121, 405, 665, 111, 7535, 3355, 14051, 511}},
-{4701, 16, 16438, {1, 1, 1, 3, 3, 29, 15, 253, 227, 123, 333, 1343, 7313, 1955, 17741, 30831}},
-{4702, 16, 16450, {1, 3, 5, 1, 5, 47, 65, 183, 199, 839, 925, 2711, 4609, 201, 15177, 29817}},
-{4703, 16, 16507, {1, 3, 7, 9, 21, 63, 5, 163, 265, 581, 1795, 3937, 4641, 2073, 32225, 60831}},
-{4704, 16, 16523, {1, 1, 1, 5, 7, 47, 125, 203, 511, 841, 1937, 3431, 1495, 12827, 5893, 19265}},
-{4705, 16, 16533, {1, 1, 5, 5, 9, 49, 17, 247, 391, 241, 3, 2253, 6319, 89, 4449, 6371}},
-{4706, 16, 16603, {1, 3, 1, 1, 31, 7, 51, 61, 461, 391, 273, 1609, 5825, 16029, 3851, 39213}},
-{4707, 16, 16648, {1, 3, 3, 7, 29, 21, 65, 75, 317, 925, 1319, 3827, 965, 5685, 17007, 64365}},
-{4708, 16, 16653, {1, 3, 1, 5, 23, 23, 109, 59, 31, 659, 635, 2209, 857, 9847, 2507, 18325}},
-{4709, 16, 16672, {1, 1, 1, 1, 17, 51, 53, 77, 461, 147, 229, 2821, 2405, 1259, 1121, 17429}},
-{4710, 16, 16682, {1, 3, 5, 3, 31, 3, 57, 157, 321, 731, 1609, 2139, 899, 12599, 19803, 51083}},
-{4711, 16, 16709, {1, 1, 3, 11, 27, 43, 73, 209, 431, 587, 1247, 2803, 3593, 1351, 18701, 33423}},
-{4712, 16, 16713, {1, 3, 5, 13, 27, 19, 67, 245, 339, 879, 2035, 1801, 5845, 3883, 22057, 15771}},
-{4713, 16, 16719, {1, 1, 3, 11, 11, 55, 93, 51, 57, 127, 1325, 3975, 3989, 2347, 18831, 2979}},
-{4714, 16, 16733, {1, 1, 1, 13, 17, 1, 17, 103, 303, 777, 1973, 2943, 7439, 8953, 27227, 10229}},
-{4715, 16, 16740, {1, 3, 3, 15, 1, 41, 53, 219, 415, 399, 995, 205, 7719, 10937, 31879, 755}},
-{4716, 16, 16761, {1, 3, 7, 9, 13, 7, 99, 93, 419, 1019, 1605, 161, 3831, 9147, 7877, 1333}},
-{4717, 16, 16767, {1, 3, 7, 15, 5, 51, 37, 115, 259, 549, 353, 2067, 7657, 1283, 20333, 2325}},
-{4718, 16, 16771, {1, 1, 3, 3, 23, 33, 63, 233, 363, 719, 1099, 471, 3079, 10577, 19063, 31535}},
-{4719, 16, 16788, {1, 3, 7, 15, 23, 19, 109, 105, 497, 881, 1055, 537, 4607, 239, 22785, 60201}},
-{4720, 16, 16811, {1, 3, 3, 5, 19, 11, 1, 207, 163, 437, 713, 667, 1427, 7505, 28055, 43101}},
-{4721, 16, 16814, {1, 3, 5, 5, 25, 45, 75, 9, 109, 545, 573, 2685, 1013, 2973, 18619, 55945}},
-{4722, 16, 16816, {1, 1, 1, 3, 27, 27, 39, 33, 285, 453, 613, 2707, 2155, 4355, 21105, 7969}},
-{4723, 16, 16828, {1, 3, 3, 9, 1, 31, 71, 101, 491, 409, 65, 1479, 5743, 525, 2863, 53657}},
-{4724, 16, 16834, {1, 1, 3, 1, 17, 63, 55, 11, 125, 447, 275, 2243, 6827, 5753, 32401, 13819}},
-{4725, 16, 16863, {1, 1, 3, 9, 21, 47, 5, 127, 285, 471, 1681, 945, 6141, 5651, 10273, 30811}},
-{4726, 16, 16864, {1, 3, 3, 1, 13, 53, 91, 3, 255, 429, 107, 2937, 2971, 10251, 15009, 37477}},
-{4727, 16, 16879, {1, 1, 7, 13, 21, 63, 73, 3, 63, 491, 101, 1981, 7457, 879, 6243, 22275}},
-{4728, 16, 16888, {1, 3, 1, 1, 11, 43, 121, 101, 293, 639, 645, 2723, 2075, 3629, 22105, 18199}},
-{4729, 16, 16904, {1, 1, 3, 1, 31, 9, 69, 97, 511, 663, 1147, 1237, 389, 255, 8661, 38533}},
-{4730, 16, 16909, {1, 3, 3, 7, 3, 13, 23, 71, 197, 439, 2003, 1771, 8073, 1549, 29089, 5409}},
-{4731, 16, 16921, {1, 3, 1, 1, 9, 23, 1, 221, 159, 699, 593, 3385, 3869, 10105, 22097, 34753}},
-{4732, 16, 16934, {1, 1, 7, 1, 29, 47, 41, 137, 333, 357, 325, 3151, 6641, 3823, 8763, 28327}},
-{4733, 16, 16951, {1, 3, 1, 7, 19, 19, 39, 225, 477, 619, 583, 229, 6177, 9615, 1203, 13711}},
-{4734, 16, 16983, {1, 1, 3, 13, 9, 41, 127, 147, 13, 301, 861, 2019, 3517, 1147, 21587, 42387}},
-{4735, 16, 16999, {1, 1, 5, 11, 9, 63, 11, 121, 251, 199, 483, 2287, 4667, 3887, 10611, 6019}},
-{4736, 16, 17000, {1, 1, 3, 13, 23, 19, 89, 73, 355, 399, 749, 687, 5707, 11443, 817, 38967}},
-{4737, 16, 17006, {1, 3, 5, 9, 3, 23, 115, 207, 373, 541, 73, 1285, 7245, 12505, 5787, 61207}},
-{4738, 16, 17020, {1, 3, 5, 15, 27, 37, 115, 203, 195, 793, 1577, 1283, 7299, 4025, 5319, 5375}},
-{4739, 16, 17030, {1, 1, 7, 15, 25, 19, 61, 11, 215, 771, 1057, 451, 1965, 13693, 25617, 42657}},
-{4740, 16, 17033, {1, 3, 3, 7, 1, 19, 23, 217, 175, 901, 2009, 2989, 5111, 5027, 4805, 37843}},
-{4741, 16, 17044, {1, 3, 1, 11, 11, 37, 3, 131, 459, 769, 201, 3979, 3009, 8691, 27005, 32175}},
-{4742, 16, 17051, {1, 3, 5, 7, 27, 27, 117, 23, 403, 1003, 1501, 785, 6313, 10187, 5085, 30751}},
-{4743, 16, 17072, {1, 1, 7, 3, 11, 41, 73, 151, 19, 657, 131, 1901, 3879, 14995, 24085, 56621}},
-{4744, 16, 17078, {1, 3, 7, 15, 23, 3, 61, 199, 67, 483, 1961, 3583, 5937, 5749, 16685, 11831}},
-{4745, 16, 17084, {1, 1, 3, 15, 25, 15, 97, 9, 299, 641, 883, 2901, 123, 1523, 7055, 15609}},
-{4746, 16, 17087, {1, 3, 5, 5, 31, 55, 19, 45, 239, 543, 2005, 1041, 1711, 11059, 19927, 17475}},
-{4747, 16, 17090, {1, 1, 3, 9, 5, 59, 105, 209, 323, 613, 1963, 2227, 2947, 11761, 21375, 13265}},
-{4748, 16, 17123, {1, 3, 3, 15, 1, 5, 117, 37, 93, 243, 305, 2299, 5163, 9205, 28761, 35987}},
-{4749, 16, 17132, {1, 1, 1, 5, 5, 29, 13, 147, 457, 187, 1729, 1547, 7745, 13155, 7833, 57449}},
-{4750, 16, 17140, {1, 3, 3, 13, 1, 51, 49, 253, 23, 389, 1611, 3045, 5909, 3947, 25105, 3327}},
-{4751, 16, 17149, {1, 3, 1, 11, 15, 47, 19, 15, 231, 57, 763, 1879, 1765, 14861, 22893, 19437}},
-{4752, 16, 17157, {1, 1, 3, 15, 1, 19, 85, 65, 139, 629, 361, 3513, 3807, 799, 8349, 29247}},
-{4753, 16, 17164, {1, 3, 3, 13, 9, 11, 65, 201, 471, 89, 355, 121, 3947, 10775, 3599, 6041}},
-{4754, 16, 17170, {1, 3, 7, 3, 5, 53, 33, 167, 431, 129, 1449, 3263, 7691, 12569, 7551, 41101}},
-{4755, 16, 17179, {1, 1, 3, 15, 9, 41, 5, 239, 361, 773, 955, 3663, 6051, 12889, 5841, 59615}},
-{4756, 16, 17237, {1, 1, 7, 5, 5, 33, 97, 9, 495, 845, 1953, 3533, 5715, 15055, 25211, 9351}},
-{4757, 16, 17248, {1, 3, 1, 11, 25, 37, 83, 153, 289, 739, 353, 1121, 7641, 2081, 28439, 38085}},
-{4758, 16, 17260, {1, 3, 1, 1, 27, 9, 63, 135, 395, 641, 1759, 3727, 4371, 5193, 2783, 12389}},
-{4759, 16, 17272, {1, 3, 3, 15, 3, 9, 5, 153, 111, 675, 1957, 3817, 4269, 10787, 3413, 34199}},
-{4760, 16, 17275, {1, 3, 5, 9, 23, 23, 97, 137, 255, 249, 333, 2329, 1055, 13769, 13109, 33443}},
-{4761, 16, 17287, {1, 1, 1, 15, 7, 37, 99, 219, 483, 755, 263, 3523, 6179, 4817, 29873, 12771}},
-{4762, 16, 17294, {1, 1, 3, 5, 23, 7, 77, 97, 105, 631, 175, 1911, 7271, 1009, 24081, 61207}},
-{4763, 16, 17296, {1, 3, 5, 3, 1, 31, 71, 91, 265, 669, 1839, 3989, 8127, 15001, 1419, 8895}},
-{4764, 16, 17305, {1, 3, 1, 13, 27, 51, 93, 155, 49, 991, 653, 203, 3863, 5363, 31969, 36083}},
-{4765, 16, 17312, {1, 3, 3, 7, 31, 27, 21, 73, 21, 675, 407, 1215, 2963, 6799, 15259, 13125}},
-{4766, 16, 17321, {1, 3, 5, 13, 5, 53, 19, 215, 243, 487, 689, 2519, 6393, 3987, 30847, 37919}},
-{4767, 16, 17367, {1, 3, 3, 7, 5, 31, 115, 231, 255, 955, 2023, 1487, 6575, 9873, 22585, 29951}},
-{4768, 16, 17368, {1, 3, 5, 11, 11, 57, 109, 203, 417, 29, 1311, 893, 1047, 2413, 9305, 38219}},
-{4769, 16, 17378, {1, 3, 1, 7, 23, 51, 113, 3, 105, 915, 1145, 3431, 7331, 3323, 31669, 21485}},
-{4770, 16, 17433, {1, 1, 7, 13, 9, 29, 119, 205, 403, 1023, 257, 863, 2983, 1895, 16539, 23385}},
-{4771, 16, 17455, {1, 1, 7, 13, 27, 21, 47, 139, 341, 509, 1107, 2197, 3649, 14301, 30789, 48783}},
-{4772, 16, 17457, {1, 3, 3, 7, 25, 19, 99, 11, 309, 919, 1809, 3015, 1587, 3779, 1289, 30207}},
-{4773, 16, 17508, {1, 3, 5, 11, 9, 43, 57, 171, 9, 151, 173, 2301, 7723, 2083, 319, 52883}},
-{4774, 16, 17559, {1, 1, 3, 1, 3, 13, 63, 11, 231, 117, 1257, 237, 581, 13871, 15501, 8741}},
-{4775, 16, 17560, {1, 3, 5, 9, 13, 63, 55, 155, 291, 721, 123, 929, 3351, 11651, 12513, 1779}},
-{4776, 16, 17582, {1, 3, 7, 3, 31, 5, 61, 81, 465, 639, 1363, 3157, 2401, 9513, 32559, 34477}},
-{4777, 16, 17596, {1, 3, 1, 15, 27, 25, 3, 117, 277, 13, 707, 3825, 7287, 10181, 30127, 57247}},
-{4778, 16, 17599, {1, 1, 7, 11, 21, 21, 53, 17, 407, 851, 1191, 285, 6815, 1595, 25507, 8099}},
-{4779, 16, 17613, {1, 3, 5, 9, 9, 61, 83, 61, 65, 671, 63, 311, 6897, 15327, 29809, 4899}},
-{4780, 16, 17619, {1, 1, 7, 1, 21, 45, 99, 235, 477, 461, 1119, 4087, 2057, 14861, 31969, 24357}},
-{4781, 16, 17622, {1, 1, 7, 9, 31, 9, 65, 123, 281, 273, 1059, 1625, 6265, 9635, 11563, 45053}},
-{4782, 16, 17655, {1, 3, 3, 7, 1, 41, 15, 23, 43, 727, 1271, 1741, 765, 13265, 4145, 1335}},
-{4783, 16, 17661, {1, 1, 3, 7, 17, 55, 107, 231, 263, 197, 659, 3621, 2789, 5171, 28635, 13595}},
-{4784, 16, 17698, {1, 1, 5, 1, 27, 23, 13, 83, 431, 507, 1571, 1573, 1733, 12171, 8181, 30843}},
-{4785, 16, 17712, {1, 3, 7, 11, 1, 53, 107, 39, 497, 579, 453, 1339, 1415, 10317, 2741, 34599}},
-{4786, 16, 17715, {1, 3, 3, 5, 31, 41, 49, 41, 33, 665, 1783, 87, 317, 6603, 22603, 22879}},
-{4787, 16, 17721, {1, 3, 1, 15, 5, 47, 41, 87, 231, 853, 1615, 2299, 4643, 9249, 15641, 14323}},
-{4788, 16, 17722, {1, 3, 7, 9, 5, 45, 55, 153, 31, 247, 67, 2335, 6057, 4379, 27579, 38437}},
-{4789, 16, 17742, {1, 1, 5, 7, 9, 3, 73, 81, 479, 909, 1097, 3945, 4485, 7815, 22855, 20825}},
-{4790, 16, 17778, {1, 3, 1, 15, 19, 43, 97, 57, 339, 167, 135, 1777, 7681, 9715, 13863, 6347}},
-{4791, 16, 17818, {1, 1, 1, 1, 5, 53, 33, 123, 449, 165, 1283, 2977, 5919, 12929, 32073, 61851}},
-{4792, 16, 17836, {1, 1, 5, 15, 27, 27, 19, 157, 267, 651, 1319, 3841, 7739, 9947, 16801, 41325}},
-{4793, 16, 17841, {1, 3, 7, 9, 19, 7, 83, 95, 401, 293, 437, 1983, 119, 7553, 11097, 11925}},
-{4794, 16, 17856, {1, 1, 3, 5, 21, 1, 53, 201, 385, 843, 1801, 99, 2697, 9659, 28789, 31417}},
-{4795, 16, 17883, {1, 1, 5, 5, 29, 57, 103, 89, 77, 597, 1849, 3433, 4267, 11167, 3841, 44023}},
-{4796, 16, 17896, {1, 1, 7, 1, 21, 47, 113, 253, 249, 431, 1899, 2859, 7345, 5725, 14805, 19999}},
-{4797, 16, 17901, {1, 3, 3, 5, 1, 11, 77, 213, 359, 665, 1855, 2743, 2407, 14677, 17957, 63257}},
-{4798, 16, 17926, {1, 3, 7, 13, 23, 29, 127, 183, 275, 849, 1005, 3159, 3867, 13029, 7527, 13035}},
-{4799, 16, 17937, {1, 1, 1, 15, 29, 47, 81, 225, 77, 879, 1279, 1929, 1457, 2025, 32229, 2847}},
-{4800, 16, 17992, {1, 1, 1, 3, 29, 45, 37, 189, 217, 53, 281, 1785, 1929, 763, 5875, 34303}},
-{4801, 16, 17995, {1, 3, 1, 9, 21, 61, 21, 149, 215, 13, 1221, 5, 7153, 14089, 3119, 33115}},
-{4802, 16, 17998, {1, 3, 7, 11, 7, 57, 89, 185, 485, 649, 1765, 747, 2983, 6791, 25015, 13627}},
-{4803, 16, 18021, {1, 1, 1, 9, 11, 53, 77, 203, 425, 237, 487, 2317, 1047, 8277, 23405, 30445}},
-{4804, 16, 18039, {1, 1, 3, 5, 7, 29, 39, 195, 109, 381, 655, 931, 4469, 16215, 10627, 64171}},
-{4805, 16, 18067, {1, 3, 1, 3, 5, 9, 89, 131, 509, 275, 489, 3161, 3701, 11951, 6579, 42839}},
-{4806, 16, 18122, {1, 3, 7, 13, 15, 37, 65, 91, 305, 433, 1815, 169, 3117, 47, 30331, 34863}},
-{4807, 16, 18129, {1, 3, 3, 9, 21, 3, 21, 113, 25, 833, 1579, 4021, 3481, 55, 20833, 46277}},
-{4808, 16, 18130, {1, 1, 1, 5, 19, 37, 61, 229, 61, 363, 817, 1235, 6235, 7261, 29917, 43057}},
-{4809, 16, 18142, {1, 3, 1, 9, 7, 59, 119, 189, 341, 945, 633, 3683, 2589, 15453, 4989, 40055}},
-{4810, 16, 18148, {1, 1, 1, 5, 25, 63, 61, 73, 207, 205, 1011, 2857, 8137, 2121, 26731, 46011}},
-{4811, 16, 18163, {1, 3, 7, 11, 13, 59, 107, 57, 49, 555, 441, 1771, 4939, 12107, 8263, 16243}},
-{4812, 16, 18192, {1, 3, 5, 13, 15, 49, 89, 217, 83, 225, 2001, 2727, 4651, 619, 16473, 47525}},
-{4813, 16, 18211, {1, 3, 5, 9, 5, 63, 115, 91, 337, 757, 703, 559, 1683, 14875, 30769, 30331}},
-{4814, 16, 18228, {1, 3, 1, 15, 3, 3, 119, 79, 487, 519, 523, 1177, 7105, 12343, 24671, 31711}},
-{4815, 16, 18264, {1, 1, 7, 15, 25, 63, 87, 23, 59, 277, 849, 953, 4567, 11309, 26181, 749}},
-{4816, 16, 18347, {1, 3, 7, 15, 5, 33, 21, 127, 3, 239, 839, 997, 7253, 8183, 19779, 4185}},
-{4817, 16, 18372, {1, 1, 5, 15, 25, 37, 99, 51, 465, 137, 1339, 541, 4319, 9883, 17425, 30743}},
-{4818, 16, 18409, {1, 3, 3, 5, 13, 7, 3, 249, 365, 749, 527, 3675, 3005, 12905, 9621, 899}},
-{4819, 16, 18412, {1, 3, 3, 7, 29, 31, 69, 21, 365, 1021, 1329, 2623, 3549, 5491, 21293, 63771}},
-{4820, 16, 18418, {1, 1, 5, 9, 5, 35, 53, 247, 193, 17, 227, 381, 5233, 821, 3991, 4439}},
-{4821, 16, 18423, {1, 1, 7, 15, 5, 59, 27, 167, 489, 335, 1565, 2999, 1777, 5009, 519, 57967}},
-{4822, 16, 18433, {1, 1, 1, 11, 25, 47, 23, 155, 419, 863, 1905, 355, 1089, 5871, 10149, 53341}},
-{4823, 16, 18439, {1, 1, 7, 7, 29, 55, 127, 83, 33, 309, 2017, 1021, 5987, 1101, 13657, 60587}},
-{4824, 16, 18445, {1, 1, 1, 7, 3, 1, 9, 75, 257, 407, 659, 529, 2087, 14759, 14483, 36425}},
-{4825, 16, 18451, {1, 3, 7, 3, 11, 29, 113, 255, 301, 799, 1171, 3721, 135, 3467, 7109, 50339}},
-{4826, 16, 18467, {1, 1, 1, 7, 21, 25, 15, 31, 61, 491, 57, 189, 2033, 4363, 31295, 16313}},
-{4827, 16, 18502, {1, 1, 5, 1, 5, 17, 33, 77, 483, 469, 355, 2245, 4165, 459, 30411, 29507}},
-{4828, 16, 18514, {1, 1, 3, 13, 1, 27, 29, 85, 491, 787, 1157, 1299, 4743, 14795, 32587, 12807}},
-{4829, 16, 18547, {1, 3, 3, 1, 23, 45, 35, 129, 3, 55, 969, 2387, 3929, 10397, 19879, 2723}},
-{4830, 16, 18575, {1, 1, 1, 7, 19, 3, 9, 23, 497, 347, 2039, 913, 5925, 7965, 5789, 40949}},
-{4831, 16, 18593, {1, 1, 7, 1, 29, 61, 89, 3, 133, 647, 1585, 2661, 1875, 1859, 3937, 12707}},
-{4832, 16, 18613, {1, 3, 3, 7, 25, 11, 41, 149, 427, 463, 901, 2433, 2617, 13511, 3443, 39867}},
-{4833, 16, 18620, {1, 1, 1, 5, 27, 33, 103, 251, 201, 1023, 1979, 3745, 6365, 14945, 22153, 55535}},
-{4834, 16, 18637, {1, 3, 1, 15, 23, 25, 57, 215, 111, 181, 385, 1123, 3095, 7085, 31863, 37393}},
-{4835, 16, 18640, {1, 3, 5, 13, 17, 35, 27, 159, 255, 241, 413, 1823, 5329, 1825, 28489, 58763}},
-{4836, 16, 18712, {1, 3, 1, 15, 3, 33, 97, 27, 409, 889, 409, 2315, 4743, 14827, 3037, 57149}},
-{4837, 16, 18728, {1, 1, 3, 5, 19, 63, 93, 51, 233, 715, 1571, 1101, 2751, 14805, 25683, 13323}},
-{4838, 16, 18742, {1, 3, 7, 3, 21, 15, 117, 179, 263, 229, 199, 2597, 3999, 3037, 3801, 4775}},
-{4839, 16, 18748, {1, 3, 3, 15, 1, 15, 49, 91, 383, 21, 1955, 773, 1213, 5971, 19525, 8699}},
-{4840, 16, 18753, {1, 3, 1, 15, 29, 49, 11, 101, 261, 761, 709, 3811, 4055, 15675, 32305, 15173}},
-{4841, 16, 18756, {1, 1, 1, 3, 9, 41, 127, 23, 413, 461, 237, 1595, 2257, 2971, 31845, 61485}},
-{4842, 16, 18771, {1, 1, 1, 11, 23, 13, 63, 21, 23, 209, 1317, 1071, 3619, 7275, 9343, 21455}},
-{4843, 16, 18814, {1, 1, 5, 9, 31, 35, 41, 249, 477, 569, 1175, 1571, 4679, 10337, 3507, 23415}},
-{4844, 16, 18818, {1, 3, 5, 11, 29, 3, 117, 65, 301, 913, 1709, 1765, 1801, 15513, 31495, 38131}},
-{4845, 16, 18827, {1, 3, 5, 11, 27, 3, 71, 195, 81, 313, 505, 3941, 3797, 2031, 24151, 65085}},
-{4846, 16, 18835, {1, 1, 1, 5, 13, 17, 59, 151, 191, 489, 1267, 3207, 4495, 15145, 12789, 46313}},
-{4847, 16, 18842, {1, 3, 1, 7, 29, 9, 25, 31, 33, 527, 1939, 4089, 333, 757, 8895, 25331}},
-{4848, 16, 18854, {1, 1, 1, 1, 9, 27, 11, 205, 211, 141, 1171, 1881, 4029, 10587, 30103, 39661}},
-{4849, 16, 18858, {1, 1, 3, 3, 23, 3, 23, 175, 355, 753, 183, 1331, 6403, 3369, 29891, 11109}},
-{4850, 16, 18895, {1, 3, 7, 3, 17, 25, 95, 145, 135, 525, 1073, 1841, 3951, 2027, 23053, 19699}},
-{4851, 16, 18914, {1, 1, 5, 3, 11, 43, 117, 67, 299, 885, 1095, 2777, 8185, 14331, 29543, 655}},
-{4852, 16, 18925, {1, 3, 7, 7, 3, 59, 127, 147, 323, 713, 99, 1179, 6395, 1821, 12673, 35587}},
-{4853, 16, 18933, {1, 3, 5, 3, 7, 11, 33, 87, 99, 967, 1443, 1585, 6215, 15125, 30747, 21513}},
-{4854, 16, 18937, {1, 3, 7, 11, 23, 5, 91, 171, 229, 601, 833, 3157, 1691, 15081, 20607, 7643}},
-{4855, 16, 18944, {1, 1, 3, 1, 5, 1, 39, 59, 157, 7, 601, 2079, 3045, 3693, 26511, 13245}},
-{4856, 16, 18973, {1, 3, 5, 9, 9, 27, 83, 135, 185, 379, 2027, 1407, 7409, 7363, 26471, 35907}},
-{4857, 16, 19001, {1, 3, 7, 15, 29, 49, 1, 69, 383, 915, 183, 3809, 4511, 8751, 4715, 7033}},
-{4858, 16, 19012, {1, 3, 3, 3, 1, 17, 71, 233, 243, 933, 1165, 3089, 3565, 6521, 13203, 13065}},
-{4859, 16, 19016, {1, 1, 5, 9, 9, 55, 53, 129, 331, 943, 587, 2573, 2247, 15101, 4987, 62983}},
-{4860, 16, 19027, {1, 3, 1, 13, 11, 43, 45, 127, 129, 857, 669, 321, 3915, 4477, 26973, 19911}},
-{4861, 16, 19040, {1, 3, 1, 13, 15, 3, 83, 23, 13, 441, 953, 2373, 3539, 4895, 26327, 61961}},
-{4862, 16, 19074, {1, 1, 5, 13, 23, 11, 125, 83, 339, 901, 1809, 2691, 3789, 15007, 10569, 65399}},
-{4863, 16, 19085, {1, 3, 1, 1, 17, 27, 105, 199, 435, 245, 1227, 3029, 3911, 1021, 2931, 24957}},
-{4864, 16, 19093, {1, 3, 1, 11, 17, 5, 123, 39, 413, 627, 1149, 3925, 6635, 8959, 31387, 65047}},
-{4865, 16, 19100, {1, 3, 5, 1, 23, 41, 93, 217, 21, 115, 1311, 3901, 2559, 2925, 30755, 7575}},
-{4866, 16, 19107, {1, 1, 3, 9, 13, 11, 63, 171, 135, 983, 1679, 395, 7349, 5153, 26405, 40589}},
-{4867, 16, 19128, {1, 3, 7, 13, 27, 47, 53, 169, 85, 871, 1087, 619, 7399, 9719, 6349, 59211}},
-{4868, 16, 19141, {1, 3, 3, 15, 31, 45, 3, 33, 11, 879, 929, 1977, 1939, 1049, 16159, 41515}},
-{4869, 16, 19142, {1, 3, 5, 11, 9, 27, 13, 23, 127, 747, 1121, 2497, 8141, 8601, 12431, 3243}},
-{4870, 16, 19156, {1, 3, 7, 15, 23, 43, 23, 225, 283, 13, 1837, 2089, 6435, 10121, 22307, 58767}},
-{4871, 16, 19169, {1, 1, 5, 11, 17, 3, 41, 221, 143, 669, 261, 1367, 7813, 15265, 32751, 62007}},
-{4872, 16, 19176, {1, 1, 1, 1, 5, 45, 41, 161, 327, 185, 1403, 485, 2831, 10025, 12555, 47661}},
-{4873, 16, 19222, {1, 3, 7, 1, 31, 55, 87, 83, 439, 929, 653, 4095, 5443, 7361, 27801, 12979}},
-{4874, 16, 19226, {1, 3, 1, 7, 1, 57, 11, 145, 55, 269, 711, 1889, 8023, 7171, 3247, 35691}},
-{4875, 16, 19247, {1, 1, 1, 3, 15, 1, 15, 131, 479, 797, 815, 2343, 1603, 10775, 21341, 20825}},
-{4876, 16, 19259, {1, 3, 5, 9, 3, 27, 31, 117, 441, 177, 215, 3991, 3197, 8397, 19195, 3883}},
-{4877, 16, 19262, {1, 1, 5, 13, 1, 19, 13, 27, 157, 1001, 43, 251, 7997, 7495, 16515, 44287}},
-{4878, 16, 19291, {1, 1, 3, 5, 17, 57, 117, 53, 413, 905, 551, 149, 7531, 14885, 32493, 34961}},
-{4879, 16, 19309, {1, 3, 3, 7, 27, 1, 7, 13, 259, 21, 189, 451, 6171, 3603, 12053, 45619}},
-{4880, 16, 19324, {1, 1, 7, 11, 5, 41, 59, 119, 419, 93, 1399, 629, 1269, 3789, 17035, 61583}},
-{4881, 16, 19334, {1, 3, 5, 11, 1, 11, 59, 83, 473, 273, 839, 3111, 3081, 10159, 6143, 16297}},
-{4882, 16, 19338, {1, 1, 5, 15, 25, 15, 17, 63, 275, 927, 189, 89, 6595, 4399, 27201, 57205}},
-{4883, 16, 19343, {1, 1, 7, 3, 31, 17, 63, 203, 321, 655, 1751, 2985, 3291, 11567, 15135, 49747}},
-{4884, 16, 19376, {1, 3, 5, 13, 27, 25, 89, 39, 299, 833, 1269, 271, 6481, 3045, 7203, 20279}},
-{4885, 16, 19408, {1, 3, 1, 1, 29, 13, 13, 37, 33, 563, 1825, 3257, 3153, 963, 25801, 15861}},
-{4886, 16, 19413, {1, 3, 5, 11, 15, 7, 49, 117, 479, 221, 579, 2995, 1673, 14927, 2869, 35547}},
-{4887, 16, 19420, {1, 3, 1, 11, 31, 11, 77, 161, 183, 187, 1967, 3037, 4441, 10547, 1443, 8619}},
-{4888, 16, 19441, {1, 1, 3, 11, 27, 41, 83, 179, 293, 421, 1395, 1673, 6375, 9801, 14265, 18117}},
-{4889, 16, 19444, {1, 1, 3, 7, 9, 19, 55, 235, 499, 637, 1121, 3583, 8007, 3749, 20903, 6179}},
-{4890, 16, 19454, {1, 3, 7, 13, 9, 55, 125, 77, 395, 9, 2005, 2247, 1609, 6805, 13099, 26367}},
-{4891, 16, 19461, {1, 3, 5, 13, 9, 41, 49, 133, 443, 995, 209, 341, 8013, 11037, 29663, 21161}},
-{4892, 16, 19473, {1, 3, 1, 1, 1, 47, 45, 243, 161, 433, 129, 39, 4885, 8777, 6395, 16953}},
-{4893, 16, 19479, {1, 3, 3, 15, 11, 13, 41, 113, 279, 657, 763, 2411, 7115, 463, 10759, 50493}},
-{4894, 16, 19489, {1, 1, 5, 5, 31, 5, 25, 181, 385, 445, 625, 313, 4983, 11763, 6065, 63835}},
-{4895, 16, 19591, {1, 3, 3, 15, 13, 25, 103, 5, 205, 223, 1327, 73, 677, 6751, 2071, 24963}},
-{4896, 16, 19605, {1, 1, 7, 15, 21, 61, 21, 11, 47, 775, 113, 991, 1943, 1459, 18049, 45025}},
-{4897, 16, 19616, {1, 3, 3, 1, 11, 43, 27, 89, 49, 711, 173, 181, 1261, 2751, 21321, 5467}},
-{4898, 16, 19619, {1, 3, 3, 7, 17, 7, 57, 61, 87, 973, 985, 1849, 559, 7319, 11457, 46071}},
-{4899, 16, 19653, {1, 1, 1, 1, 9, 37, 99, 157, 423, 189, 1355, 3983, 6357, 10825, 26517, 45815}},
-{4900, 16, 19654, {1, 1, 3, 11, 23, 33, 57, 55, 59, 831, 339, 725, 359, 14859, 17523, 36149}},
-{4901, 16, 19681, {1, 1, 5, 5, 27, 29, 47, 147, 153, 801, 1737, 3617, 5447, 8011, 30631, 7921}},
-{4902, 16, 19711, {1, 1, 5, 1, 11, 43, 35, 105, 69, 453, 1023, 875, 6755, 6015, 12449, 50235}},
-{4903, 16, 19719, {1, 3, 1, 5, 29, 31, 43, 89, 369, 891, 1447, 353, 8103, 2555, 1197, 64005}},
-{4904, 16, 19726, {1, 3, 3, 9, 21, 33, 117, 205, 473, 289, 1699, 2361, 7083, 13001, 24127, 48611}},
-{4905, 16, 19738, {1, 3, 3, 15, 3, 23, 79, 139, 475, 511, 181, 1331, 6137, 2653, 14071, 16947}},
-{4906, 16, 19767, {1, 3, 3, 1, 11, 47, 51, 217, 305, 599, 1609, 237, 4537, 5377, 717, 13269}},
-{4907, 16, 19819, {1, 1, 7, 3, 19, 31, 1, 173, 509, 817, 785, 1223, 5585, 8911, 643, 44575}},
-{4908, 16, 19864, {1, 1, 3, 11, 5, 11, 31, 129, 269, 369, 1833, 2885, 441, 11517, 2323, 26735}},
-{4909, 16, 19867, {1, 1, 5, 9, 7, 51, 31, 21, 5, 157, 541, 2939, 4569, 1679, 17467, 27995}},
-{4910, 16, 19885, {1, 1, 7, 3, 21, 33, 85, 213, 41, 851, 1947, 3205, 5065, 6079, 30789, 63677}},
-{4911, 16, 19894, {1, 1, 5, 3, 9, 53, 3, 179, 157, 407, 537, 1193, 4645, 13791, 28153, 11349}},
-{4912, 16, 19900, {1, 1, 7, 13, 25, 61, 9, 151, 263, 143, 1583, 2859, 6617, 8861, 4163, 40695}},
-{4913, 16, 19903, {1, 1, 1, 1, 7, 25, 19, 207, 335, 1019, 1919, 3893, 831, 12421, 4667, 38967}},
-{4914, 16, 19941, {1, 3, 5, 3, 5, 51, 81, 9, 425, 333, 451, 2569, 2771, 12145, 26065, 14385}},
-{4915, 16, 19951, {1, 1, 3, 7, 3, 49, 17, 147, 327, 331, 1197, 7, 3703, 15247, 9723, 52819}},
-{4916, 16, 19959, {1, 3, 3, 7, 27, 21, 117, 229, 255, 603, 195, 1049, 6243, 13593, 14553, 8267}},
-{4917, 16, 19966, {1, 1, 5, 15, 9, 53, 1, 187, 79, 151, 321, 1883, 6105, 13879, 8201, 53213}},
-{4918, 16, 20009, {1, 1, 1, 7, 21, 27, 103, 147, 351, 901, 1927, 2145, 2685, 453, 15173, 7371}},
-{4919, 16, 20018, {1, 1, 3, 5, 21, 27, 125, 77, 395, 27, 827, 3617, 6033, 1511, 29461, 18907}},
-{4920, 16, 20020, {1, 3, 5, 3, 3, 27, 75, 129, 441, 831, 1213, 2499, 5829, 12181, 7991, 58167}},
-{4921, 16, 20038, {1, 1, 1, 9, 3, 33, 85, 135, 45, 405, 1731, 551, 1251, 7895, 3975, 41621}},
-{4922, 16, 20049, {1, 3, 5, 7, 19, 19, 25, 7, 477, 569, 1089, 2705, 6157, 10279, 14029, 36229}},
-{4923, 16, 20066, {1, 3, 7, 3, 5, 19, 99, 137, 67, 361, 2021, 2891, 1957, 14961, 22673, 45707}},
-{4924, 16, 20108, {1, 3, 7, 1, 21, 11, 81, 225, 151, 235, 1761, 3875, 7427, 11213, 27023, 17945}},
-{4925, 16, 20130, {1, 1, 7, 1, 3, 1, 3, 123, 39, 769, 1467, 1907, 7833, 2099, 19, 54653}},
-{4926, 16, 20132, {1, 1, 1, 3, 25, 35, 33, 111, 407, 497, 1527, 3999, 3083, 6221, 8319, 56959}},
-{4927, 16, 20167, {1, 1, 3, 15, 21, 49, 113, 11, 191, 801, 1835, 3413, 3379, 13129, 3655, 23885}},
-{4928, 16, 20219, {1, 3, 1, 5, 21, 57, 87, 133, 409, 325, 569, 2099, 8143, 315, 23287, 21905}},
-{4929, 16, 20227, {1, 1, 5, 5, 21, 43, 25, 169, 265, 123, 81, 2683, 6137, 7341, 16383, 26435}},
-{4930, 16, 20263, {1, 3, 1, 5, 23, 17, 125, 173, 3, 829, 693, 751, 8021, 3701, 32643, 35405}},
-{4931, 16, 20267, {1, 1, 3, 1, 31, 13, 1, 195, 435, 487, 961, 1681, 1233, 6001, 3113, 29515}},
-{4932, 16, 20272, {1, 1, 7, 5, 9, 41, 81, 137, 257, 337, 1837, 145, 4191, 6313, 9991, 25541}},
-{4933, 16, 20289, {1, 1, 5, 13, 29, 13, 1, 117, 501, 991, 571, 793, 1433, 6005, 19, 61135}},
-{4934, 16, 20296, {1, 1, 7, 1, 9, 43, 65, 69, 297, 331, 1777, 1843, 6477, 13943, 1301, 51001}},
-{4935, 16, 20307, {1, 1, 1, 3, 7, 35, 23, 211, 33, 649, 255, 1831, 635, 9965, 16679, 14531}},
-{4936, 16, 20316, {1, 1, 1, 13, 23, 57, 113, 247, 321, 401, 1761, 4001, 1823, 14457, 5251, 4965}},
-{4937, 16, 20323, {1, 1, 5, 5, 31, 5, 53, 103, 297, 575, 1577, 2217, 977, 14415, 16953, 14793}},
-{4938, 16, 20335, {1, 1, 5, 7, 9, 19, 25, 29, 121, 563, 1707, 901, 6167, 10799, 11897, 31187}},
-{4939, 16, 20344, {1, 1, 5, 9, 17, 39, 89, 29, 251, 259, 411, 819, 6037, 4601, 11481, 46141}},
-{4940, 16, 20354, {1, 1, 1, 15, 23, 9, 65, 95, 189, 93, 1485, 2417, 5183, 5513, 26623, 42637}},
-{4941, 16, 20360, {1, 1, 5, 5, 3, 3, 113, 161, 463, 225, 1089, 2023, 2341, 14931, 28097, 56365}},
-{4942, 16, 20368, {1, 1, 5, 9, 9, 3, 109, 141, 27, 473, 107, 4023, 3279, 7595, 13289, 35649}},
-{4943, 16, 20390, {1, 1, 5, 3, 9, 37, 73, 153, 487, 57, 2035, 3583, 239, 2183, 10903, 171}},
-{4944, 16, 20402, {1, 3, 3, 15, 23, 39, 87, 217, 451, 597, 1817, 2883, 145, 11341, 16015, 16765}},
-{4945, 16, 20413, {1, 1, 7, 5, 19, 61, 45, 37, 473, 883, 277, 2801, 13, 7021, 3851, 53223}},
-{4946, 16, 20425, {1, 3, 3, 9, 1, 35, 97, 237, 279, 541, 1911, 661, 7603, 8183, 22071, 37317}},
-{4947, 16, 20428, {1, 3, 3, 11, 11, 63, 101, 71, 227, 259, 1545, 2779, 3859, 4859, 18957, 31749}},
-{4948, 16, 20434, {1, 3, 3, 1, 27, 29, 91, 215, 381, 607, 1701, 1709, 247, 12403, 29943, 59533}},
-{4949, 16, 20443, {1, 1, 7, 1, 11, 23, 47, 141, 37, 881, 1443, 3921, 3281, 7417, 1549, 50653}},
-{4950, 16, 20488, {1, 1, 7, 11, 23, 61, 17, 39, 373, 871, 1107, 1875, 1419, 3981, 1333, 11485}},
-{4951, 16, 20502, {1, 1, 7, 11, 21, 51, 127, 145, 129, 425, 1263, 1989, 699, 7317, 24827, 15049}},
-{4952, 16, 20505, {1, 1, 1, 11, 9, 59, 59, 67, 329, 841, 905, 467, 1905, 895, 29711, 25585}},
-{4953, 16, 20535, {1, 1, 1, 15, 3, 39, 11, 205, 297, 383, 445, 2139, 2935, 2399, 22237, 20355}},
-{4954, 16, 20541, {1, 3, 7, 7, 17, 9, 17, 205, 369, 1019, 1703, 755, 5507, 14749, 16461, 14519}},
-{4955, 16, 20554, {1, 3, 7, 3, 5, 31, 97, 35, 43, 249, 773, 4033, 6085, 1241, 24743, 22415}},
-{4956, 16, 20577, {1, 3, 7, 3, 17, 11, 45, 203, 251, 669, 1463, 1897, 7913, 2315, 30307, 15431}},
-{4957, 16, 20583, {1, 1, 5, 5, 7, 53, 83, 13, 1, 841, 423, 1059, 3951, 14209, 11113, 13931}},
-{4958, 16, 20602, {1, 3, 3, 5, 5, 15, 11, 71, 237, 553, 829, 3653, 4991, 1003, 8353, 52173}},
-{4959, 16, 20611, {1, 3, 3, 9, 27, 39, 83, 137, 315, 883, 1155, 3541, 3815, 10633, 13277, 20269}},
-{4960, 16, 20614, {1, 3, 3, 15, 13, 55, 43, 19, 345, 351, 1117, 1747, 1949, 3195, 12241, 52441}},
-{4961, 16, 20626, {1, 1, 3, 5, 1, 11, 113, 117, 37, 103, 1681, 3269, 1659, 14779, 30479, 31123}},
-{4962, 16, 20628, {1, 3, 7, 13, 1, 63, 9, 63, 65, 737, 785, 1713, 8123, 10053, 29871, 17647}},
-{4963, 16, 20635, {1, 1, 3, 5, 17, 45, 71, 37, 283, 145, 1927, 75, 7355, 4681, 2777, 31465}},
-{4964, 16, 20642, {1, 1, 3, 7, 21, 19, 113, 89, 67, 751, 99, 421, 201, 6345, 9473, 39849}},
-{4965, 16, 20674, {1, 1, 5, 11, 31, 57, 75, 79, 393, 745, 1435, 3039, 1175, 983, 923, 42867}},
-{4966, 16, 20716, {1, 1, 5, 9, 31, 47, 31, 61, 85, 651, 1733, 3973, 1979, 7223, 13817, 30593}},
-{4967, 16, 20734, {1, 1, 1, 11, 31, 21, 23, 177, 401, 55, 537, 3775, 3241, 15157, 11849, 15629}},
-{4968, 16, 20765, {1, 1, 1, 13, 31, 53, 79, 57, 35, 617, 61, 89, 6917, 6045, 23879, 45485}},
-{4969, 16, 20801, {1, 3, 7, 7, 3, 43, 57, 243, 107, 321, 273, 2171, 2069, 6171, 29181, 8281}},
-{4970, 16, 20804, {1, 1, 1, 11, 3, 27, 51, 57, 81, 795, 1673, 2601, 7335, 16243, 863, 20663}},
-{4971, 16, 20808, {1, 1, 5, 9, 7, 19, 31, 87, 509, 899, 1133, 1609, 2163, 7595, 10523, 43181}},
-{4972, 16, 20831, {1, 1, 1, 7, 21, 53, 103, 43, 507, 317, 685, 1329, 7057, 7275, 2277, 28271}},
-{4973, 16, 20832, {1, 1, 7, 7, 3, 35, 81, 81, 261, 587, 1571, 2771, 4653, 6517, 25101, 56753}},
-{4974, 16, 20862, {1, 3, 1, 11, 17, 61, 29, 137, 7, 929, 393, 2513, 2423, 5457, 6285, 12525}},
-{4975, 16, 20877, {1, 3, 1, 9, 25, 63, 17, 45, 439, 591, 273, 877, 7741, 8381, 32277, 24635}},
-{4976, 16, 20880, {1, 3, 1, 5, 19, 11, 17, 175, 297, 77, 961, 3331, 5193, 14347, 12713, 32067}},
-{4977, 16, 20885, {1, 1, 5, 11, 3, 17, 13, 21, 219, 653, 1279, 1657, 7659, 14459, 27661, 38093}},
-{4978, 16, 20889, {1, 3, 7, 7, 29, 17, 67, 35, 451, 91, 919, 3163, 7459, 14971, 4317, 42503}},
-{4979, 16, 20905, {1, 3, 3, 15, 7, 61, 69, 211, 349, 97, 911, 503, 3903, 12327, 11049, 29387}},
-{4980, 16, 20914, {1, 1, 7, 3, 5, 7, 63, 237, 387, 931, 693, 1143, 6545, 8529, 25217, 53087}},
-{4981, 16, 20967, {1, 1, 5, 7, 1, 13, 21, 169, 259, 289, 437, 649, 4905, 15261, 29997, 34043}},
-{4982, 16, 21028, {1, 1, 1, 9, 25, 13, 19, 229, 29, 213, 1941, 1501, 3463, 15761, 15635, 39687}},
-{4983, 16, 21031, {1, 1, 5, 7, 13, 29, 101, 57, 483, 913, 1025, 2139, 4327, 7847, 12455, 41797}},
-{4984, 16, 21043, {1, 1, 3, 11, 17, 27, 97, 79, 411, 9, 1797, 3721, 5291, 859, 8889, 6151}},
-{4985, 16, 21052, {1, 1, 1, 5, 17, 61, 45, 187, 157, 301, 1017, 1507, 6031, 4271, 32593, 23739}},
-{4986, 16, 21058, {1, 1, 3, 11, 31, 39, 7, 169, 15, 799, 1585, 2055, 4683, 13247, 23743, 50399}},
-{4987, 16, 21087, {1, 1, 1, 9, 25, 37, 15, 39, 339, 383, 1153, 1211, 5745, 15249, 26021, 39871}},
-{4988, 16, 21088, {1, 1, 3, 13, 17, 51, 27, 137, 231, 877, 309, 3633, 2575, 12259, 2743, 14781}},
-{4989, 16, 21093, {1, 1, 5, 7, 5, 33, 95, 19, 37, 829, 1489, 3525, 3887, 8277, 21867, 3581}},
-{4990, 16, 21106, {1, 1, 1, 15, 11, 33, 99, 213, 365, 549, 1603, 777, 3787, 12209, 14999, 50607}},
-{4991, 16, 21108, {1, 3, 1, 9, 23, 25, 57, 147, 73, 285, 1229, 1763, 4579, 14771, 4003, 38197}},
-{4992, 16, 21118, {1, 1, 5, 1, 15, 55, 25, 209, 135, 895, 311, 139, 2445, 6903, 12129, 27907}},
-{4993, 16, 21122, {1, 1, 5, 7, 23, 29, 33, 135, 325, 517, 2021, 1721, 4235, 2363, 12905, 18811}},
-{4994, 16, 21131, {1, 1, 1, 9, 3, 19, 69, 29, 157, 787, 1969, 3711, 8179, 5691, 4059, 25541}},
-{4995, 16, 21139, {1, 1, 5, 15, 1, 61, 11, 195, 317, 13, 923, 2149, 4001, 12843, 27109, 30625}},
-{4996, 16, 21141, {1, 3, 1, 7, 3, 13, 45, 187, 445, 859, 53, 3227, 4381, 8273, 32699, 48719}},
-{4997, 16, 21146, {1, 1, 7, 7, 21, 19, 47, 101, 119, 311, 577, 3309, 4585, 12109, 15153, 22915}},
-{4998, 16, 21162, {1, 3, 5, 15, 21, 39, 15, 211, 349, 237, 1873, 3333, 7837, 12811, 14321, 20227}},
-{4999, 16, 21164, {1, 1, 5, 5, 19, 47, 15, 239, 23, 763, 537, 1477, 2231, 10885, 19487, 47385}},
-{5000, 16, 21184, {1, 1, 3, 1, 19, 37, 67, 85, 11, 817, 869, 2249, 4111, 12411, 10405, 20055}},
-{5001, 16, 21208, {1, 1, 3, 3, 1, 41, 85, 137, 91, 369, 1863, 759, 303, 15859, 8063, 12811}},
-{5002, 16, 21211, {1, 3, 1, 11, 23, 1, 11, 219, 201, 573, 1573, 619, 2959, 6485, 7483, 46099}},
-{5003, 16, 21213, {1, 3, 3, 9, 13, 9, 9, 255, 47, 375, 409, 1435, 1665, 14967, 3247, 18193}},
-{5004, 16, 21230, {1, 1, 1, 5, 9, 61, 121, 173, 51, 415, 1621, 3947, 1379, 847, 23187, 39259}},
-{5005, 16, 21270, {1, 1, 1, 7, 3, 19, 95, 59, 187, 453, 1533, 445, 2699, 4817, 25983, 50925}},
-{5006, 16, 21276, {1, 3, 5, 13, 25, 25, 33, 5, 497, 1, 535, 1653, 6541, 10939, 17721, 43829}},
-{5007, 16, 21285, {1, 3, 7, 11, 9, 59, 115, 127, 85, 505, 541, 3243, 5853, 12673, 25275, 39577}},
-{5008, 16, 21297, {1, 3, 7, 1, 17, 25, 83, 127, 225, 295, 1823, 2051, 847, 4249, 13763, 5723}},
-{5009, 16, 21304, {1, 1, 1, 5, 3, 63, 39, 131, 191, 983, 119, 3287, 3335, 7969, 31347, 39439}},
-{5010, 16, 21310, {1, 3, 7, 9, 19, 31, 19, 91, 35, 677, 1229, 1371, 6497, 3315, 15239, 54235}},
-{5011, 16, 21330, {1, 1, 1, 15, 3, 49, 113, 199, 135, 35, 709, 385, 7923, 3711, 18351, 12711}},
-{5012, 16, 21339, {1, 1, 3, 15, 31, 13, 41, 1, 183, 95, 1625, 1675, 7881, 6607, 4165, 27151}},
-{5013, 16, 21346, {1, 3, 3, 15, 21, 57, 81, 49, 5, 297, 131, 883, 1113, 2497, 32129, 39139}},
-{5014, 16, 21391, {1, 3, 5, 7, 29, 47, 101, 173, 299, 879, 143, 3341, 3929, 6797, 8753, 47963}},
-{5015, 16, 21427, {1, 3, 3, 13, 11, 39, 27, 187, 27, 763, 1515, 1903, 5897, 10061, 14595, 12713}},
-{5016, 16, 21451, {1, 3, 5, 11, 27, 35, 37, 213, 45, 867, 1591, 3083, 8123, 5045, 31703, 61487}},
-{5017, 16, 21465, {1, 1, 3, 5, 3, 31, 23, 89, 369, 371, 1165, 3673, 6821, 333, 10881, 4153}},
-{5018, 16, 21468, {1, 1, 7, 13, 1, 33, 49, 195, 223, 197, 1799, 2427, 6171, 493, 13503, 23619}},
-{5019, 16, 21471, {1, 1, 3, 9, 5, 59, 105, 215, 449, 527, 1661, 2643, 309, 11239, 11633, 63459}},
-{5020, 16, 21533, {1, 1, 3, 11, 13, 11, 15, 99, 409, 807, 1911, 883, 1323, 9037, 6401, 545}},
-{5021, 16, 21610, {1, 1, 5, 7, 7, 7, 1, 167, 353, 923, 1403, 3109, 4981, 3877, 25451, 4667}},
-{5022, 16, 21615, {1, 1, 5, 11, 11, 25, 121, 153, 111, 785, 1301, 1497, 6267, 14919, 24125, 52029}},
-{5023, 16, 21630, {1, 3, 3, 5, 29, 55, 63, 177, 305, 41, 111, 1065, 1127, 113, 2815, 12979}},
-{5024, 16, 21633, {1, 3, 5, 7, 23, 39, 17, 179, 267, 917, 511, 3923, 915, 14173, 10689, 50749}},
-{5025, 16, 21657, {1, 1, 5, 3, 9, 45, 15, 157, 495, 625, 407, 2769, 3267, 7593, 17957, 54597}},
-{5026, 16, 21658, {1, 3, 3, 11, 21, 13, 5, 207, 107, 965, 1803, 1541, 3487, 3483, 109, 26923}},
-{5027, 16, 21669, {1, 1, 5, 11, 25, 49, 99, 135, 109, 371, 1307, 1815, 1095, 2329, 27101, 52269}},
-{5028, 16, 21670, {1, 3, 5, 5, 13, 9, 109, 79, 151, 47, 311, 3873, 3645, 3773, 1083, 31599}},
-{5029, 16, 21673, {1, 3, 5, 15, 1, 9, 87, 21, 145, 583, 159, 2435, 587, 10123, 24803, 19993}},
-{5030, 16, 21701, {1, 3, 1, 1, 23, 11, 5, 45, 373, 1011, 1353, 277, 7051, 3845, 12391, 25313}},
-{5031, 16, 21719, {1, 1, 1, 9, 13, 13, 109, 251, 97, 483, 1723, 2555, 813, 9345, 11351, 44705}},
-{5032, 16, 21720, {1, 3, 5, 7, 21, 49, 63, 13, 119, 813, 1559, 983, 499, 15159, 24163, 59903}},
-{5033, 16, 21747, {1, 1, 3, 5, 27, 33, 27, 165, 207, 693, 1401, 1357, 7637, 337, 10163, 43273}},
-{5034, 16, 21819, {1, 1, 5, 13, 29, 7, 71, 187, 1, 655, 1829, 2645, 6969, 5435, 28415, 33199}},
-{5035, 16, 21839, {1, 1, 1, 13, 17, 21, 13, 141, 41, 267, 1165, 1893, 3455, 10737, 16693, 33065}},
-{5036, 16, 21854, {1, 1, 5, 1, 7, 27, 7, 67, 107, 11, 763, 2529, 3023, 15745, 17023, 51911}},
-{5037, 16, 21857, {1, 3, 3, 3, 7, 57, 123, 249, 309, 511, 1655, 1379, 725, 7325, 20261, 65039}},
-{5038, 16, 21864, {1, 1, 5, 11, 3, 27, 23, 27, 285, 771, 2017, 1727, 4847, 2665, 30655, 47625}},
-{5039, 16, 21882, {1, 3, 7, 7, 17, 3, 93, 133, 427, 1021, 1135, 341, 6711, 11713, 24157, 1561}},
-{5040, 16, 21900, {1, 1, 3, 7, 15, 55, 11, 247, 65, 115, 1967, 535, 841, 15131, 28381, 31337}},
-{5041, 16, 21903, {1, 3, 1, 7, 9, 45, 73, 151, 127, 125, 767, 2003, 6893, 3875, 451, 30275}},
-{5042, 16, 21928, {1, 1, 7, 3, 5, 55, 127, 123, 163, 763, 1165, 1637, 6267, 7215, 23403, 20961}},
-{5043, 16, 21931, {1, 1, 1, 13, 1, 21, 65, 141, 369, 413, 1675, 27, 7357, 6929, 18083, 829}},
-{5044, 16, 21946, {1, 3, 5, 13, 1, 17, 97, 107, 249, 931, 47, 3537, 2245, 9827, 13673, 23217}},
-{5045, 16, 21971, {1, 1, 1, 11, 13, 19, 43, 31, 51, 727, 1001, 927, 771, 11853, 5761, 60537}},
-{5046, 16, 21974, {1, 3, 1, 7, 23, 27, 115, 5, 201, 431, 1021, 585, 6069, 12511, 6129, 2105}},
-{5047, 16, 21978, {1, 1, 3, 11, 3, 25, 75, 129, 389, 131, 223, 2263, 5377, 5561, 15633, 39527}},
-{5048, 16, 21993, {1, 3, 3, 1, 27, 43, 101, 55, 319, 549, 1971, 2255, 353, 93, 25661, 59077}},
-{5049, 16, 21994, {1, 1, 5, 11, 29, 57, 27, 135, 341, 913, 1637, 1781, 457, 11293, 1013, 53863}},
-{5050, 16, 22030, {1, 1, 1, 11, 3, 51, 79, 251, 443, 651, 393, 3635, 7397, 5443, 4225, 991}},
-{5051, 16, 22035, {1, 3, 7, 13, 31, 9, 3, 109, 427, 735, 891, 2789, 2169, 6459, 355, 43177}},
-{5052, 16, 22063, {1, 3, 3, 3, 13, 7, 93, 195, 293, 37, 75, 2467, 933, 8017, 9925, 61397}},
-{5053, 16, 22068, {1, 1, 5, 7, 25, 15, 69, 199, 161, 769, 387, 1491, 4553, 4173, 25631, 37089}},
-{5054, 16, 22086, {1, 3, 1, 3, 7, 59, 53, 93, 103, 413, 531, 887, 6149, 2901, 22611, 27135}},
-{5055, 16, 22104, {1, 1, 1, 13, 31, 39, 71, 215, 385, 821, 1603, 3043, 4967, 10953, 11543, 64433}},
-{5056, 16, 22119, {1, 3, 1, 7, 7, 63, 5, 143, 1, 339, 1165, 3809, 4257, 12879, 21581, 21307}},
-{5057, 16, 22153, {1, 1, 1, 15, 1, 35, 67, 227, 277, 879, 513, 3423, 6153, 11573, 12809, 34335}},
-{5058, 16, 22168, {1, 3, 7, 9, 9, 39, 47, 17, 101, 179, 631, 1307, 481, 871, 16807, 39811}},
-{5059, 16, 22183, {1, 3, 1, 1, 13, 25, 53, 179, 285, 267, 407, 3781, 3267, 3545, 525, 15733}},
-{5060, 16, 22189, {1, 1, 1, 13, 11, 35, 45, 181, 319, 767, 283, 3021, 5405, 403, 3587, 7291}},
-{5061, 16, 22204, {1, 1, 7, 3, 5, 9, 67, 129, 101, 117, 267, 1925, 1209, 13095, 7123, 62941}},
-{5062, 16, 22230, {1, 1, 7, 3, 5, 63, 109, 199, 95, 421, 193, 3519, 6551, 955, 1679, 16627}},
-{5063, 16, 22240, {1, 1, 5, 13, 1, 47, 71, 157, 343, 653, 981, 1335, 3737, 7185, 28861, 22883}},
-{5064, 16, 22246, {1, 1, 3, 15, 7, 63, 7, 81, 481, 5, 1159, 1361, 4167, 2575, 7437, 16917}},
-{5065, 16, 22269, {1, 3, 7, 1, 27, 17, 61, 193, 317, 841, 1149, 955, 5161, 4275, 1955, 15665}},
-{5066, 16, 22282, {1, 1, 1, 7, 19, 63, 77, 57, 367, 237, 579, 3701, 5763, 4951, 24151, 45215}},
-{5067, 16, 22302, {1, 1, 5, 11, 29, 7, 119, 155, 431, 999, 757, 2433, 5811, 3709, 29573, 23639}},
-{5068, 16, 22330, {1, 3, 3, 3, 15, 35, 125, 13, 275, 507, 1719, 1537, 2349, 12909, 8107, 9845}},
-{5069, 16, 22347, {1, 3, 1, 13, 27, 27, 11, 69, 15, 1017, 207, 625, 809, 2921, 8939, 30293}},
-{5070, 16, 22349, {1, 1, 7, 11, 31, 51, 113, 193, 69, 845, 73, 919, 3523, 3987, 23665, 36527}},
-{5071, 16, 22383, {1, 3, 7, 11, 21, 31, 103, 29, 5, 81, 1081, 3847, 4697, 8857, 30769, 40053}},
-{5072, 16, 22386, {1, 1, 1, 1, 5, 11, 5, 169, 13, 899, 769, 3823, 5405, 5991, 3821, 27767}},
-{5073, 16, 22432, {1, 1, 3, 15, 1, 35, 9, 83, 23, 701, 1807, 1681, 4009, 127, 31751, 38059}},
-{5074, 16, 22450, {1, 3, 3, 7, 9, 61, 73, 111, 193, 607, 2001, 413, 3751, 16337, 16597, 23959}},
-{5075, 16, 22473, {1, 1, 7, 7, 21, 29, 53, 253, 187, 507, 1191, 3521, 463, 2167, 23785, 19867}},
-{5076, 16, 22487, {1, 3, 5, 3, 19, 43, 101, 93, 257, 61, 1589, 3883, 1975, 7283, 5253, 23257}},
-{5077, 16, 22527, {1, 3, 1, 9, 1, 63, 25, 101, 377, 571, 1701, 3385, 243, 12051, 32619, 10459}},
-{5078, 16, 22537, {1, 1, 1, 5, 17, 11, 37, 197, 205, 879, 625, 959, 7389, 7857, 20615, 20405}},
-{5079, 16, 22557, {1, 3, 5, 5, 27, 41, 9, 109, 197, 623, 1045, 63, 7977, 11355, 28613, 5131}},
-{5080, 16, 22561, {1, 1, 5, 11, 5, 29, 27, 85, 131, 247, 433, 3981, 2677, 15415, 869, 6045}},
-{5081, 16, 22568, {1, 3, 1, 13, 9, 49, 25, 79, 135, 719, 93, 631, 2149, 5929, 29833, 38673}},
-{5082, 16, 22573, {1, 3, 7, 11, 15, 13, 37, 233, 227, 205, 1579, 65, 1429, 13499, 26355, 63821}},
-{5083, 16, 22591, {1, 1, 5, 11, 21, 19, 7, 183, 409, 275, 899, 3665, 6207, 849, 24339, 1617}},
-{5084, 16, 22593, {1, 3, 1, 3, 21, 61, 23, 125, 463, 489, 1265, 2975, 3907, 11881, 7533, 43331}},
-{5085, 16, 22605, {1, 3, 1, 15, 15, 51, 83, 31, 175, 47, 1791, 3651, 6735, 5013, 723, 24141}},
-{5086, 16, 22620, {1, 3, 1, 9, 17, 41, 57, 43, 469, 911, 1251, 2105, 3133, 3437, 10097, 26687}},
-{5087, 16, 22627, {1, 1, 3, 3, 9, 9, 125, 201, 141, 943, 1509, 1239, 6575, 8707, 363, 23309}},
-{5088, 16, 22636, {1, 1, 5, 3, 19, 37, 43, 141, 413, 149, 1449, 1003, 4473, 12395, 4101, 61201}},
-{5089, 16, 22647, {1, 1, 5, 11, 17, 37, 41, 33, 57, 627, 325, 1895, 1773, 1339, 24859, 587}},
-{5090, 16, 22697, {1, 1, 1, 3, 5, 49, 127, 109, 361, 853, 1437, 3451, 4031, 5379, 27463, 47425}},
-{5091, 16, 22715, {1, 3, 5, 7, 9, 57, 71, 219, 347, 791, 797, 73, 6241, 12717, 24429, 40977}},
-{5092, 16, 22725, {1, 1, 5, 9, 27, 43, 43, 227, 433, 413, 1109, 2589, 4535, 8947, 8121, 43479}},
-{5093, 16, 22732, {1, 3, 7, 1, 9, 21, 81, 23, 157, 313, 197, 2845, 8059, 15957, 28657, 28093}},
-{5094, 16, 22749, {1, 3, 1, 11, 15, 17, 115, 27, 421, 743, 1885, 2089, 5011, 7137, 7395, 36853}},
-{5095, 16, 22766, {1, 1, 5, 15, 5, 53, 69, 255, 63, 29, 1011, 3201, 1467, 15441, 26255, 62895}},
-{5096, 16, 22768, {1, 3, 1, 11, 3, 47, 35, 195, 149, 849, 1317, 439, 3539, 845, 15295, 42183}},
-{5097, 16, 22771, {1, 1, 5, 15, 15, 37, 67, 105, 495, 985, 1777, 3137, 8039, 11795, 29771, 35045}},
-{5098, 16, 22788, {1, 1, 3, 1, 25, 17, 67, 227, 229, 419, 1319, 3325, 1293, 8585, 28425, 34013}},
-{5099, 16, 22797, {1, 1, 5, 1, 27, 51, 71, 197, 375, 407, 259, 4005, 3309, 5475, 13421, 60065}},
-{5100, 16, 22822, {1, 3, 1, 5, 11, 17, 89, 45, 311, 425, 1629, 773, 7267, 8699, 27547, 37081}},
-{5101, 16, 22828, {1, 3, 1, 7, 9, 25, 101, 105, 489, 217, 103, 1959, 4049, 5793, 31201, 11947}},
-{5102, 16, 22851, {1, 1, 5, 5, 19, 3, 63, 55, 431, 49, 273, 3253, 5357, 13801, 9735, 21883}},
-{5103, 16, 22888, {1, 1, 1, 11, 13, 3, 75, 201, 477, 201, 1875, 657, 6217, 8651, 2207, 16421}},
-{5104, 16, 22893, {1, 1, 5, 13, 5, 31, 75, 113, 25, 171, 1147, 3089, 7095, 4405, 26155, 42323}},
-{5105, 16, 22901, {1, 3, 5, 5, 5, 49, 99, 171, 445, 1023, 1793, 3159, 5809, 12509, 31723, 60411}},
-{5106, 16, 22902, {1, 3, 7, 3, 23, 51, 111, 27, 103, 159, 433, 293, 1741, 3599, 4067, 40667}},
-{5107, 16, 22921, {1, 3, 3, 13, 11, 9, 11, 21, 453, 35, 1649, 1261, 3539, 14081, 5581, 57105}},
-{5108, 16, 22929, {1, 3, 3, 13, 7, 9, 113, 87, 391, 647, 223, 1345, 4481, 9855, 20129, 10807}},
-{5109, 16, 22946, {1, 3, 7, 15, 3, 61, 15, 117, 97, 495, 985, 819, 181, 1363, 13111, 35857}},
-{5110, 16, 22948, {1, 3, 1, 9, 3, 27, 125, 151, 217, 961, 707, 2647, 5307, 621, 12581, 13941}},
-{5111, 16, 22951, {1, 3, 1, 11, 17, 37, 35, 211, 179, 29, 627, 3623, 6429, 16237, 24699, 14385}},
-{5112, 16, 22958, {1, 3, 3, 9, 3, 57, 35, 3, 85, 1017, 1739, 2241, 7297, 15637, 27085, 41237}},
-{5113, 16, 22975, {1, 1, 3, 7, 7, 13, 5, 85, 505, 51, 409, 867, 677, 12451, 13633, 47883}},
-{5114, 16, 22983, {1, 3, 5, 13, 5, 51, 37, 79, 237, 133, 1331, 3263, 349, 4971, 16067, 62485}},
-{5115, 16, 22990, {1, 1, 7, 11, 29, 41, 101, 219, 391, 1023, 1681, 3163, 4071, 14665, 11041, 14523}},
-{5116, 16, 23032, {1, 1, 3, 3, 13, 55, 37, 119, 471, 665, 1315, 3071, 5993, 12005, 13549, 63425}},
-{5117, 16, 23047, {1, 3, 5, 7, 5, 25, 59, 71, 77, 841, 91, 1841, 6997, 1139, 11843, 52209}},
-{5118, 16, 23053, {1, 3, 7, 15, 17, 25, 85, 173, 373, 459, 1713, 1055, 5337, 9921, 15213, 44235}},
-{5119, 16, 23054, {1, 1, 1, 15, 7, 11, 89, 237, 131, 565, 745, 457, 4447, 5581, 11053, 43819}},
-{5120, 16, 23082, {1, 3, 5, 1, 29, 21, 11, 7, 125, 851, 2023, 3321, 1885, 67, 8809, 43291}},
-{5121, 16, 23095, {1, 3, 5, 11, 11, 43, 41, 97, 353, 813, 85, 2453, 769, 11709, 4697, 2849}},
-{5122, 16, 23116, {1, 1, 5, 5, 21, 29, 87, 179, 157, 981, 129, 2139, 6841, 5479, 27111, 20749}},
-{5123, 16, 23197, {1, 1, 3, 9, 31, 59, 61, 15, 423, 33, 467, 1817, 6535, 7341, 31061, 20937}},
-{5124, 16, 23221, {1, 1, 7, 3, 1, 21, 127, 135, 321, 699, 727, 3079, 753, 3971, 5611, 28345}},
-{5125, 16, 23257, {1, 3, 7, 11, 27, 3, 39, 63, 389, 433, 43, 1443, 6241, 10769, 20485, 58823}},
-{5126, 16, 23260, {1, 1, 1, 11, 3, 13, 5, 57, 503, 707, 677, 3355, 6691, 8841, 20041, 11867}},
-{5127, 16, 23263, {1, 1, 3, 11, 31, 39, 107, 221, 81, 125, 1439, 2429, 2109, 3931, 31007, 10915}},
-{5128, 16, 23267, {1, 3, 3, 9, 17, 53, 13, 121, 127, 15, 1825, 1909, 5951, 13503, 31565, 56163}},
-{5129, 16, 23282, {1, 1, 1, 1, 19, 55, 3, 153, 385, 277, 1297, 3655, 6027, 3057, 11341, 46989}},
-{5130, 16, 23284, {1, 1, 5, 9, 3, 55, 37, 223, 353, 141, 1917, 3827, 2255, 7617, 10971, 10641}},
-{5131, 16, 23314, {1, 3, 7, 9, 29, 41, 71, 19, 137, 243, 2047, 395, 6981, 15887, 9479, 60199}},
-{5132, 16, 23326, {1, 1, 1, 9, 17, 43, 51, 191, 405, 727, 485, 987, 1855, 15801, 22529, 10165}},
-{5133, 16, 23335, {1, 3, 1, 7, 27, 31, 69, 255, 153, 793, 1353, 1981, 83, 11387, 6747, 23379}},
-{5134, 16, 23368, {1, 1, 5, 5, 31, 49, 83, 157, 63, 647, 1367, 3995, 5899, 8429, 18317, 3471}},
-{5135, 16, 23373, {1, 3, 5, 13, 19, 15, 99, 13, 143, 887, 529, 2855, 573, 9799, 13585, 59263}},
-{5136, 16, 23401, {1, 3, 5, 3, 13, 47, 103, 87, 11, 381, 397, 899, 71, 15539, 13005, 38297}},
-{5137, 16, 23415, {1, 1, 1, 3, 1, 53, 45, 141, 1, 941, 261, 3291, 5177, 9843, 6309, 62799}},
-{5138, 16, 23432, {1, 1, 5, 9, 29, 31, 107, 57, 135, 229, 1147, 247, 265, 12757, 21365, 7219}},
-{5139, 16, 23476, {1, 1, 1, 3, 1, 49, 55, 247, 495, 449, 141, 1349, 7393, 2589, 23587, 1097}},
-{5140, 16, 23479, {1, 3, 5, 1, 9, 11, 73, 153, 89, 575, 1805, 137, 435, 3687, 32169, 24275}},
-{5141, 16, 23497, {1, 1, 7, 15, 25, 61, 51, 21, 109, 139, 611, 3907, 6721, 5081, 6665, 51463}},
-{5142, 16, 23505, {1, 1, 1, 9, 13, 23, 59, 203, 33, 1013, 1533, 291, 6171, 15463, 8581, 9497}},
-{5143, 16, 23508, {1, 3, 3, 9, 7, 25, 51, 189, 49, 265, 1163, 1141, 2467, 7839, 7083, 65527}},
-{5144, 16, 23531, {1, 1, 3, 9, 19, 33, 77, 9, 181, 919, 623, 1521, 7853, 2199, 24115, 60607}},
-{5145, 16, 23536, {1, 1, 3, 11, 9, 11, 27, 57, 355, 313, 151, 3391, 4869, 12541, 30031, 29455}},
-{5146, 16, 23542, {1, 3, 5, 9, 17, 13, 91, 123, 235, 841, 1113, 1451, 501, 3863, 32483, 9445}},
-{5147, 16, 23565, {1, 3, 7, 3, 13, 25, 87, 243, 449, 293, 1279, 3571, 2693, 13459, 5895, 38127}},
-{5148, 16, 23573, {1, 1, 3, 15, 27, 61, 7, 57, 255, 971, 131, 2585, 2187, 7191, 17779, 34587}},
-{5149, 16, 23590, {1, 3, 3, 7, 23, 29, 55, 41, 463, 873, 1781, 2851, 4731, 9819, 25587, 32199}},
-{5150, 16, 23593, {1, 1, 1, 9, 29, 39, 25, 143, 171, 141, 223, 467, 4417, 9575, 23159, 33819}},
-{5151, 16, 23604, {1, 1, 5, 13, 19, 61, 19, 75, 25, 361, 585, 1627, 2231, 1831, 24885, 37917}},
-{5152, 16, 23621, {1, 3, 7, 7, 23, 19, 59, 55, 323, 55, 143, 131, 27, 15363, 26423, 43963}},
-{5153, 16, 23622, {1, 1, 5, 5, 25, 9, 33, 17, 427, 481, 315, 3999, 4757, 4545, 7695, 56733}},
-{5154, 16, 23636, {1, 3, 5, 13, 5, 59, 45, 117, 115, 263, 1441, 3307, 1085, 3875, 25869, 19725}},
-{5155, 16, 23662, {1, 3, 3, 15, 13, 39, 31, 243, 293, 345, 343, 1911, 6123, 12577, 32081, 59993}},
-{5156, 16, 23667, {1, 3, 5, 13, 17, 37, 105, 201, 205, 929, 435, 1467, 8063, 6963, 13709, 53275}},
-{5157, 16, 23703, {1, 3, 7, 15, 31, 3, 65, 221, 191, 413, 427, 2579, 377, 2793, 26943, 61299}},
-{5158, 16, 23725, {1, 3, 5, 3, 11, 61, 75, 107, 53, 689, 1845, 859, 333, 889, 27607, 48795}},
-{5159, 16, 23734, {1, 1, 5, 7, 1, 11, 37, 181, 323, 187, 1511, 25, 5517, 11957, 7093, 429}},
-{5160, 16, 23738, {1, 3, 3, 1, 25, 31, 125, 139, 433, 583, 683, 587, 5389, 1225, 26047, 18717}},
-{5161, 16, 23752, {1, 3, 1, 15, 23, 33, 23, 147, 279, 513, 157, 4023, 2669, 7543, 2111, 9191}},
-{5162, 16, 23800, {1, 3, 1, 1, 5, 39, 55, 127, 257, 649, 347, 3001, 2215, 15579, 29665, 10337}},
-{5163, 16, 23803, {1, 1, 1, 15, 19, 55, 105, 183, 505, 1003, 1311, 2253, 1861, 3561, 19581, 46183}},
-{5164, 16, 23818, {1, 3, 1, 9, 23, 5, 127, 215, 195, 817, 719, 1285, 919, 8627, 20427, 2723}},
-{5165, 16, 23832, {1, 1, 1, 5, 15, 31, 43, 131, 377, 57, 1531, 915, 2871, 1805, 19765, 60529}},
-{5166, 16, 23842, {1, 3, 3, 3, 15, 1, 93, 55, 477, 221, 643, 1319, 959, 475, 14015, 48823}},
-{5167, 16, 23851, {1, 3, 3, 7, 19, 13, 13, 191, 421, 751, 1103, 2129, 1973, 14935, 26485, 41269}},
-{5168, 16, 23873, {1, 1, 5, 13, 17, 43, 81, 83, 67, 643, 1799, 1157, 4365, 2815, 29871, 5351}},
-{5169, 16, 23883, {1, 3, 1, 9, 21, 31, 87, 177, 25, 403, 1357, 4047, 959, 5133, 7307, 4333}},
-{5170, 16, 23888, {1, 1, 7, 7, 29, 39, 27, 139, 159, 529, 1323, 3823, 4569, 12711, 30263, 10961}},
-{5171, 16, 23910, {1, 3, 1, 13, 27, 15, 59, 1, 107, 723, 497, 43, 143, 16119, 29177, 5653}},
-{5172, 16, 23934, {1, 1, 5, 9, 15, 41, 23, 109, 101, 639, 277, 1687, 1311, 1995, 5403, 6867}},
-{5173, 16, 23938, {1, 1, 5, 3, 13, 1, 95, 177, 379, 545, 789, 3479, 4135, 445, 5869, 38923}},
-{5174, 16, 23949, {1, 1, 3, 9, 21, 31, 23, 65, 209, 383, 271, 367, 6605, 1169, 27267, 9331}},
-{5175, 16, 23955, {1, 1, 1, 1, 27, 39, 121, 29, 155, 465, 947, 2675, 6753, 11647, 29781, 30251}},
-{5176, 16, 23967, {1, 3, 1, 5, 7, 45, 7, 21, 223, 363, 1021, 751, 2257, 14423, 19629, 64867}},
-{5177, 16, 23973, {1, 3, 1, 9, 31, 53, 13, 99, 49, 389, 867, 327, 4145, 3265, 15423, 14985}},
-{5178, 16, 23991, {1, 1, 1, 15, 11, 11, 27, 41, 333, 161, 1343, 2023, 3789, 13563, 16957, 26849}},
-{5179, 16, 24024, {1, 3, 7, 1, 7, 51, 7, 163, 239, 393, 231, 3985, 309, 875, 837, 24791}},
-{5180, 16, 24030, {1, 1, 1, 7, 1, 43, 105, 7, 351, 755, 1781, 1925, 4961, 2961, 13427, 44317}},
-{5181, 16, 24039, {1, 3, 1, 9, 17, 39, 81, 75, 201, 931, 1547, 1857, 7251, 11687, 14437, 12603}},
-{5182, 16, 24067, {1, 3, 3, 15, 15, 23, 95, 7, 193, 9, 1749, 809, 5083, 14645, 24893, 35979}},
-{5183, 16, 24069, {1, 1, 7, 1, 9, 9, 127, 149, 433, 985, 1347, 3379, 2881, 681, 20777, 30703}},
-{5184, 16, 24084, {1, 3, 1, 11, 1, 27, 121, 111, 251, 45, 1341, 1709, 3733, 11297, 29063, 57119}},
-{5185, 16, 24112, {1, 3, 3, 1, 19, 3, 77, 127, 187, 831, 1125, 3119, 4665, 9857, 5301, 36755}},
-{5186, 16, 24115, {1, 3, 3, 3, 29, 29, 61, 225, 257, 635, 665, 1279, 3019, 2401, 8253, 40251}},
-{5187, 16, 24184, {1, 1, 7, 9, 29, 43, 47, 95, 221, 823, 257, 1485, 5183, 225, 27675, 60479}},
-{5188, 16, 24187, {1, 1, 5, 3, 15, 49, 25, 69, 101, 393, 901, 305, 4917, 13479, 30209, 9199}},
-{5189, 16, 24262, {1, 1, 3, 15, 1, 9, 47, 243, 403, 341, 143, 1365, 1817, 6017, 3853, 58625}},
-{5190, 16, 24276, {1, 3, 3, 11, 9, 49, 93, 149, 39, 177, 1863, 1027, 659, 9253, 2131, 26943}},
-{5191, 16, 24279, {1, 3, 1, 3, 25, 1, 43, 255, 217, 353, 957, 39, 4607, 15761, 24291, 33619}},
-{5192, 16, 24313, {1, 1, 1, 7, 29, 51, 71, 237, 1, 703, 19, 213, 6429, 11783, 22049, 30597}},
-{5193, 16, 24331, {1, 3, 1, 7, 31, 63, 105, 203, 473, 731, 257, 91, 5749, 4099, 30125, 40171}},
-{5194, 16, 24336, {1, 3, 7, 9, 7, 29, 119, 181, 225, 743, 1031, 55, 3997, 16221, 11663, 14847}},
-{5195, 16, 24348, {1, 3, 3, 11, 5, 21, 43, 17, 473, 981, 125, 2077, 6141, 4757, 7585, 29207}},
-{5196, 16, 24367, {1, 1, 7, 1, 27, 61, 27, 45, 267, 483, 119, 767, 957, 3411, 2653, 53967}},
-{5197, 16, 24372, {1, 1, 1, 3, 9, 41, 43, 17, 485, 253, 825, 3605, 5919, 9285, 1815, 6095}},
-{5198, 16, 24402, {1, 1, 1, 11, 7, 5, 53, 107, 309, 609, 1389, 2035, 861, 15565, 9375, 42363}},
-{5199, 16, 24420, {1, 3, 5, 3, 27, 57, 7, 177, 183, 227, 865, 183, 2903, 6325, 4393, 5257}},
-{5200, 16, 24444, {1, 3, 1, 5, 21, 29, 79, 107, 365, 427, 813, 3563, 7713, 3865, 4289, 28555}},
-{5201, 16, 24465, {1, 3, 5, 7, 11, 27, 1, 197, 425, 769, 1737, 3627, 1273, 4469, 11967, 823}},
-{5202, 16, 24466, {1, 1, 1, 13, 3, 31, 127, 159, 471, 367, 2047, 949, 1591, 12429, 21497, 27153}},
-{5203, 16, 24471, {1, 3, 1, 3, 3, 31, 31, 87, 243, 413, 1777, 1361, 4575, 1147, 17451, 33985}},
-{5204, 16, 24475, {1, 3, 3, 5, 13, 47, 45, 3, 165, 329, 743, 397, 2479, 4999, 12921, 26689}},
-{5205, 16, 24481, {1, 1, 5, 7, 17, 59, 25, 117, 217, 601, 235, 2691, 5569, 7853, 31063, 28281}},
-{5206, 16, 24488, {1, 3, 1, 11, 11, 39, 71, 77, 481, 39, 363, 1921, 3263, 12849, 13325, 41803}},
-{5207, 16, 24501, {1, 3, 7, 5, 19, 1, 59, 197, 239, 787, 1657, 1449, 4245, 1317, 19609, 53583}},
-{5208, 16, 24514, {1, 1, 7, 1, 13, 33, 81, 53, 223, 323, 477, 2421, 4045, 1855, 5823, 9661}},
-{5209, 16, 24531, {1, 3, 1, 7, 1, 3, 121, 19, 329, 569, 481, 3443, 499, 12407, 19625, 4627}},
-{5210, 16, 24534, {1, 1, 1, 7, 3, 33, 91, 241, 69, 581, 1635, 1025, 4677, 14651, 5229, 19555}},
-{5211, 16, 24559, {1, 3, 1, 15, 9, 11, 99, 47, 489, 755, 601, 1221, 4251, 4377, 20567, 33839}},
-{5212, 16, 24602, {1, 3, 3, 5, 21, 21, 127, 151, 499, 971, 1627, 609, 2365, 3183, 7413, 697}},
-{5213, 16, 24614, {1, 3, 7, 13, 5, 35, 61, 121, 51, 297, 29, 1825, 495, 1299, 12741, 3253}},
-{5214, 16, 24637, {1, 1, 1, 1, 13, 15, 49, 205, 235, 9, 849, 1101, 4533, 10221, 32419, 50151}},
-{5215, 16, 24664, {1, 1, 3, 13, 29, 31, 57, 77, 217, 195, 1951, 189, 981, 6169, 22677, 64415}},
-{5216, 16, 24676, {1, 3, 1, 5, 15, 37, 25, 233, 43, 843, 1205, 153, 6339, 3767, 16725, 32699}},
-{5217, 16, 24679, {1, 3, 3, 1, 19, 37, 11, 217, 461, 897, 1181, 2815, 295, 15153, 25351, 57211}},
-{5218, 16, 24697, {1, 3, 5, 11, 15, 9, 5, 179, 353, 769, 1457, 2919, 1201, 14871, 29549, 52265}},
-{5219, 16, 24709, {1, 1, 3, 3, 5, 51, 127, 221, 329, 543, 1537, 2701, 2709, 9311, 2715, 42669}},
-{5220, 16, 24714, {1, 3, 5, 15, 5, 41, 79, 233, 445, 265, 2001, 935, 3133, 3977, 3601, 21389}},
-{5221, 16, 24716, {1, 3, 5, 11, 3, 7, 115, 45, 311, 827, 1897, 3399, 4251, 5341, 22621, 25519}},
-{5222, 16, 24731, {1, 3, 7, 1, 11, 57, 117, 103, 401, 505, 1683, 2161, 4363, 11189, 20263, 13065}},
-{5223, 16, 24744, {1, 1, 1, 7, 23, 29, 31, 77, 63, 179, 195, 2747, 579, 11701, 5101, 11497}},
-{5224, 16, 24762, {1, 3, 7, 3, 9, 33, 81, 165, 433, 545, 1893, 3709, 3813, 6615, 1485, 6395}},
-{5225, 16, 24764, {1, 3, 1, 15, 9, 5, 27, 157, 389, 683, 1919, 509, 455, 3865, 2303, 6993}},
-{5226, 16, 24769, {1, 3, 3, 9, 5, 5, 3, 5, 299, 59, 539, 1199, 2443, 10821, 3359, 44345}},
-{5227, 16, 24806, {1, 3, 5, 9, 21, 37, 87, 35, 501, 943, 1313, 3929, 351, 9851, 22971, 35659}},
-{5228, 16, 24812, {1, 3, 7, 11, 11, 33, 77, 175, 411, 315, 1797, 2731, 4611, 1809, 22027, 50595}},
-{5229, 16, 24872, {1, 3, 7, 13, 15, 11, 13, 189, 209, 1015, 1869, 1593, 6887, 8571, 7217, 2641}},
-{5230, 16, 24878, {1, 1, 3, 13, 29, 15, 119, 127, 329, 275, 865, 1693, 225, 15735, 11071, 37127}},
-{5231, 16, 24883, {1, 3, 7, 13, 9, 31, 85, 25, 281, 401, 1923, 2391, 3875, 2079, 2055, 53275}},
-{5232, 16, 24909, {1, 3, 1, 5, 23, 57, 79, 127, 209, 901, 315, 1165, 3393, 15095, 1981, 34993}},
-{5233, 16, 24943, {1, 3, 7, 7, 25, 13, 15, 223, 157, 335, 1061, 395, 6895, 6283, 18375, 4887}},
-{5234, 16, 24946, {1, 3, 7, 13, 9, 15, 99, 201, 105, 643, 117, 3027, 641, 13353, 4343, 11875}},
-{5235, 16, 24964, {1, 1, 3, 11, 5, 51, 5, 77, 281, 207, 1201, 1187, 8107, 6625, 7517, 34377}},
-{5236, 16, 24992, {1, 1, 1, 5, 29, 61, 3, 181, 297, 151, 565, 2713, 6611, 8665, 32425, 50399}},
-{5237, 16, 25016, {1, 3, 1, 5, 1, 61, 41, 245, 95, 647, 49, 2195, 5927, 15531, 28547, 51075}},
-{5238, 16, 25022, {1, 3, 3, 15, 15, 63, 123, 63, 77, 813, 423, 715, 91, 3793, 20901, 54927}},
-{5239, 16, 25024, {1, 3, 7, 9, 15, 35, 31, 161, 127, 13, 1667, 1225, 5279, 15487, 18769, 24887}},
-{5240, 16, 25039, {1, 1, 3, 5, 27, 25, 61, 21, 447, 175, 1419, 2691, 1993, 13059, 30809, 38325}},
-{5241, 16, 25051, {1, 3, 1, 3, 15, 21, 15, 193, 233, 435, 1993, 4003, 4581, 13837, 16535, 43781}},
-{5242, 16, 25060, {1, 1, 1, 5, 1, 11, 21, 253, 59, 59, 497, 77, 2165, 8197, 5933, 25743}},
-{5243, 16, 25072, {1, 1, 3, 9, 25, 61, 29, 217, 95, 269, 799, 409, 801, 421, 19065, 53443}},
-{5244, 16, 25097, {1, 1, 7, 1, 1, 41, 71, 59, 191, 867, 223, 1467, 6679, 16031, 4451, 15313}},
-{5245, 16, 25122, {1, 1, 1, 11, 13, 27, 7, 241, 167, 969, 1267, 2953, 3769, 2415, 30065, 39483}},
-{5246, 16, 25148, {1, 1, 1, 3, 25, 61, 103, 23, 53, 799, 989, 3859, 7299, 13613, 12007, 37535}},
-{5247, 16, 25194, {1, 1, 7, 1, 29, 19, 121, 57, 355, 663, 643, 3723, 1775, 10363, 1389, 16039}},
-{5248, 16, 25201, {1, 3, 7, 3, 21, 55, 51, 67, 363, 843, 1187, 1983, 7757, 5413, 26575, 53329}},
-{5249, 16, 25204, {1, 3, 1, 3, 31, 55, 73, 55, 75, 533, 197, 1463, 2933, 6033, 24397, 41579}},
-{5250, 16, 25238, {1, 3, 1, 11, 9, 15, 107, 141, 473, 825, 901, 937, 7433, 13119, 20047, 6695}},
-{5251, 16, 25241, {1, 3, 5, 7, 19, 27, 3, 149, 507, 137, 1025, 1841, 33, 3113, 15101, 28187}},
-{5252, 16, 25248, {1, 3, 5, 7, 31, 27, 53, 45, 177, 129, 1241, 1525, 991, 4141, 17681, 39435}},
-{5253, 16, 25257, {1, 1, 1, 15, 31, 57, 29, 137, 395, 563, 101, 3367, 1277, 5431, 1169, 44321}},
-{5254, 16, 25275, {1, 3, 5, 7, 21, 15, 123, 181, 113, 313, 1763, 1429, 2985, 715, 26129, 549}},
-{5255, 16, 25278, {1, 3, 3, 1, 15, 27, 27, 139, 507, 79, 1999, 2505, 485, 7011, 13369, 7159}},
-{5256, 16, 25304, {1, 3, 3, 11, 27, 53, 109, 179, 399, 657, 697, 421, 5467, 4273, 7837, 11631}},
-{5257, 16, 25307, {1, 1, 1, 15, 1, 57, 91, 199, 443, 569, 1945, 2531, 6349, 4851, 3931, 20537}},
-{5258, 16, 25320, {1, 1, 3, 13, 3, 3, 107, 237, 261, 377, 135, 2809, 7239, 1613, 24035, 26053}},
-{5259, 16, 25334, {1, 3, 3, 5, 3, 59, 65, 197, 411, 363, 1729, 967, 3963, 4535, 111, 7273}},
-{5260, 16, 25348, {1, 1, 7, 3, 13, 39, 105, 235, 203, 1015, 1031, 3127, 1209, 10817, 22177, 44117}},
-{5261, 16, 25357, {1, 3, 3, 13, 19, 21, 123, 31, 59, 185, 1007, 1115, 1965, 13087, 18489, 34063}},
-{5262, 16, 25372, {1, 1, 7, 5, 27, 7, 33, 159, 245, 57, 2003, 3229, 2095, 4939, 31355, 23121}},
-{5263, 16, 25394, {1, 3, 3, 9, 9, 41, 49, 203, 397, 915, 821, 3685, 2269, 11159, 25441, 46377}},
-{5264, 16, 25454, {1, 3, 7, 5, 29, 33, 29, 227, 361, 961, 1905, 1149, 2799, 8115, 28235, 25685}},
-{5265, 16, 25465, {1, 3, 1, 1, 19, 13, 73, 103, 11, 183, 853, 2425, 3809, 2391, 18615, 32735}},
-{5266, 16, 25472, {1, 1, 3, 3, 21, 57, 47, 57, 157, 43, 1085, 3319, 461, 11499, 6809, 10435}},
-{5267, 16, 25492, {1, 1, 5, 5, 17, 21, 55, 17, 421, 865, 159, 1643, 4523, 1485, 11937, 8287}},
-{5268, 16, 25505, {1, 1, 3, 11, 7, 43, 39, 37, 187, 797, 1273, 1227, 2683, 1249, 3375, 44499}},
-{5269, 16, 25517, {1, 1, 5, 11, 17, 35, 27, 73, 97, 59, 921, 2171, 7577, 2847, 93, 35911}},
-{5270, 16, 25530, {1, 1, 5, 1, 5, 17, 117, 189, 357, 581, 1945, 2141, 1679, 12019, 11249, 6809}},
-{5271, 16, 25558, {1, 1, 5, 7, 15, 53, 9, 191, 153, 257, 533, 493, 2389, 4657, 20757, 57275}},
-{5272, 16, 25562, {1, 1, 1, 11, 13, 35, 85, 37, 501, 525, 543, 4057, 2001, 6183, 949, 18465}},
-{5273, 16, 25598, {1, 1, 1, 3, 15, 7, 39, 169, 359, 671, 731, 1523, 211, 1233, 29515, 57787}},
-{5274, 16, 25609, {1, 1, 3, 7, 27, 7, 41, 15, 71, 733, 1919, 401, 1915, 4815, 10571, 839}},
-{5275, 16, 25612, {1, 1, 7, 13, 27, 61, 5, 25, 293, 779, 477, 1537, 6695, 7435, 1281, 64369}},
-{5276, 16, 25627, {1, 1, 7, 7, 19, 11, 101, 45, 449, 883, 1181, 3521, 6019, 16305, 23429, 43789}},
-{5277, 16, 25651, {1, 1, 7, 5, 1, 49, 121, 89, 275, 367, 461, 1717, 2733, 4403, 9123, 35217}},
-{5278, 16, 25653, {1, 1, 7, 1, 1, 37, 41, 221, 281, 531, 357, 3783, 3561, 8135, 18405, 56045}},
-{5279, 16, 25668, {1, 3, 5, 7, 29, 9, 127, 37, 13, 519, 1059, 3973, 7253, 15159, 19337, 57103}},
-{5280, 16, 25711, {1, 3, 3, 15, 3, 41, 91, 7, 63, 747, 1649, 3367, 5945, 3603, 28465, 511}},
-{5281, 16, 25765, {1, 3, 3, 15, 27, 19, 67, 179, 505, 131, 149, 1753, 3603, 1135, 15811, 5305}},
-{5282, 16, 25770, {1, 1, 1, 5, 5, 63, 71, 235, 151, 651, 1383, 249, 3223, 14559, 26809, 4551}},
-{5283, 16, 25775, {1, 3, 3, 9, 29, 41, 67, 111, 175, 515, 1123, 1707, 6653, 8233, 22775, 61029}},
-{5284, 16, 25777, {1, 3, 3, 9, 23, 1, 75, 145, 159, 785, 537, 1995, 2241, 8641, 30709, 41373}},
-{5285, 16, 25783, {1, 1, 5, 9, 21, 1, 87, 233, 401, 643, 197, 3437, 8163, 6363, 6537, 17283}},
-{5286, 16, 25801, {1, 3, 5, 3, 23, 19, 55, 243, 405, 369, 1221, 1959, 5455, 11729, 26117, 9097}},
-{5287, 16, 25802, {1, 1, 3, 13, 3, 57, 71, 235, 125, 263, 873, 1079, 2627, 1343, 1979, 49519}},
-{5288, 16, 25812, {1, 3, 1, 11, 21, 15, 27, 7, 425, 935, 305, 2593, 4437, 9517, 26207, 4229}},
-{5289, 16, 25821, {1, 1, 3, 13, 11, 53, 1, 149, 97, 939, 147, 3365, 5023, 607, 2083, 8715}},
-{5290, 16, 25897, {1, 1, 5, 3, 13, 13, 113, 51, 263, 837, 1145, 3621, 5697, 2867, 7975, 22839}},
-{5291, 16, 25906, {1, 1, 3, 15, 31, 9, 91, 231, 399, 295, 1935, 4021, 7669, 3867, 28015, 9865}},
-{5292, 16, 25929, {1, 1, 1, 1, 13, 59, 51, 35, 407, 733, 1629, 2429, 291, 11923, 32129, 28847}},
-{5293, 16, 25940, {1, 3, 3, 11, 25, 21, 13, 117, 31, 547, 327, 2801, 2247, 4051, 27523, 4257}},
-{5294, 16, 25950, {1, 1, 7, 7, 15, 33, 15, 17, 255, 363, 1013, 1463, 7537, 14093, 21883, 35389}},
-{5295, 16, 25968, {1, 1, 5, 9, 11, 61, 7, 161, 121, 413, 515, 413, 4439, 15405, 30265, 23939}},
-{5296, 16, 25971, {1, 3, 7, 7, 11, 15, 5, 181, 315, 231, 1567, 2985, 1653, 12251, 269, 37317}},
-{5297, 16, 25977, {1, 3, 1, 11, 3, 15, 91, 45, 489, 571, 11, 1239, 7705, 4303, 12535, 21359}},
-{5298, 16, 25994, {1, 1, 7, 15, 29, 43, 81, 63, 483, 851, 389, 1719, 6111, 15293, 2513, 44397}},
-{5299, 16, 25996, {1, 1, 5, 15, 25, 33, 97, 131, 183, 269, 1903, 2733, 7197, 4507, 24471, 36871}},
-{5300, 16, 25999, {1, 3, 3, 13, 17, 33, 73, 83, 247, 207, 79, 1139, 581, 12147, 3539, 45423}},
-{5301, 16, 26001, {1, 1, 1, 15, 29, 49, 79, 151, 267, 393, 1995, 105, 2873, 3981, 19147, 53987}},
-{5302, 16, 26030, {1, 1, 5, 1, 31, 25, 39, 203, 459, 181, 661, 717, 6235, 13413, 1197, 40665}},
-{5303, 16, 26069, {1, 1, 5, 9, 19, 33, 65, 239, 463, 133, 461, 3601, 7755, 1771, 20683, 7417}},
-{5304, 16, 26100, {1, 1, 1, 1, 25, 19, 25, 155, 431, 33, 341, 959, 5679, 1205, 2599, 37499}},
-{5305, 16, 26109, {1, 1, 3, 5, 25, 5, 83, 87, 91, 991, 1833, 4063, 147, 14497, 25725, 4617}},
-{5306, 16, 26131, {1, 3, 5, 7, 31, 7, 73, 51, 339, 313, 1593, 2089, 7387, 15759, 3249, 7953}},
-{5307, 16, 26144, {1, 3, 7, 1, 27, 49, 35, 11, 21, 45, 1689, 1665, 4591, 3713, 12781, 4805}},
-{5308, 16, 26149, {1, 1, 3, 9, 29, 51, 73, 51, 303, 179, 67, 3917, 7615, 6131, 26225, 55991}},
-{5309, 16, 26162, {1, 3, 7, 11, 9, 63, 29, 47, 153, 883, 1859, 1913, 3563, 11451, 6333, 51367}},
-{5310, 16, 26167, {1, 3, 1, 3, 5, 25, 69, 87, 389, 613, 989, 3557, 1339, 12503, 14505, 63209}},
-{5311, 16, 26173, {1, 1, 3, 1, 5, 13, 37, 163, 499, 163, 2025, 1467, 5059, 8479, 2889, 62957}},
-{5312, 16, 26179, {1, 1, 7, 9, 23, 31, 109, 49, 73, 197, 337, 2763, 4789, 8983, 9691, 32155}},
-{5313, 16, 26193, {1, 3, 1, 3, 31, 25, 121, 91, 371, 339, 833, 2217, 4997, 9425, 10685, 60037}},
-{5314, 16, 26230, {1, 1, 7, 11, 31, 3, 105, 125, 255, 175, 803, 1787, 6231, 4441, 5031, 29737}},
-{5315, 16, 26234, {1, 1, 1, 11, 21, 63, 75, 209, 393, 437, 495, 2397, 4759, 15703, 29869, 62685}},
-{5316, 16, 26246, {1, 1, 7, 7, 25, 33, 117, 7, 293, 623, 2001, 2409, 2487, 14803, 3329, 38277}},
-{5317, 16, 26267, {1, 1, 7, 9, 31, 51, 75, 151, 487, 85, 639, 3529, 4491, 1957, 22099, 20263}},
-{5318, 16, 26283, {1, 1, 7, 5, 3, 29, 11, 1, 255, 555, 1269, 779, 1525, 7689, 25847, 39347}},
-{5319, 16, 26300, {1, 1, 7, 7, 19, 21, 9, 123, 3, 943, 1627, 2979, 919, 4565, 31435, 59789}},
-{5320, 16, 26341, {1, 3, 7, 5, 29, 13, 57, 221, 9, 893, 1685, 1879, 4575, 7369, 26191, 6067}},
-{5321, 16, 26356, {1, 3, 7, 9, 13, 11, 9, 27, 313, 751, 1377, 1121, 3799, 1673, 16305, 30665}},
-{5322, 16, 26377, {1, 3, 3, 13, 23, 17, 59, 47, 499, 525, 681, 3195, 1611, 7003, 7325, 53019}},
-{5323, 16, 26397, {1, 3, 1, 7, 23, 51, 59, 127, 67, 263, 1305, 2479, 637, 9441, 6329, 12857}},
-{5324, 16, 26404, {1, 1, 7, 7, 9, 3, 51, 193, 205, 503, 19, 2513, 7489, 9241, 15371, 20875}},
-{5325, 16, 26411, {1, 3, 3, 1, 1, 57, 17, 181, 23, 549, 769, 2325, 3669, 7017, 25601, 64479}},
-{5326, 16, 26422, {1, 3, 1, 15, 5, 55, 53, 13, 327, 447, 1031, 1599, 3639, 15305, 1387, 16035}},
-{5327, 16, 26451, {1, 3, 7, 15, 9, 41, 53, 113, 97, 99, 1377, 4047, 3713, 8891, 5601, 5853}},
-{5328, 16, 26454, {1, 1, 7, 9, 9, 7, 29, 249, 411, 315, 181, 2153, 6135, 6947, 27595, 15553}},
-{5329, 16, 26463, {1, 1, 7, 11, 3, 57, 35, 55, 165, 313, 577, 3049, 4259, 4231, 7225, 58973}},
-{5330, 16, 26488, {1, 1, 1, 1, 15, 43, 53, 143, 157, 843, 465, 3897, 4797, 12305, 28807, 46381}},
-{5331, 16, 26498, {1, 3, 7, 9, 17, 3, 99, 61, 475, 507, 831, 2207, 367, 27, 23205, 2303}},
-{5332, 16, 26509, {1, 1, 3, 11, 27, 29, 99, 237, 43, 955, 361, 3231, 1863, 7973, 8969, 58663}},
-{5333, 16, 26512, {1, 3, 1, 7, 15, 15, 11, 251, 135, 261, 675, 3723, 7675, 7993, 1725, 41149}},
-{5334, 16, 26517, {1, 3, 3, 9, 29, 11, 105, 37, 151, 215, 1911, 4051, 5427, 11019, 9073, 33129}},
-{5335, 16, 26534, {1, 3, 3, 1, 19, 7, 103, 81, 371, 253, 1043, 1231, 6497, 10377, 2349, 29047}},
-{5336, 16, 26545, {1, 3, 7, 9, 15, 11, 85, 61, 507, 629, 811, 3883, 1435, 13035, 31913, 2153}},
-{5337, 16, 26546, {1, 1, 5, 11, 13, 7, 63, 147, 117, 223, 1217, 3317, 3275, 6851, 2917, 55901}},
-{5338, 16, 26636, {1, 3, 3, 9, 7, 21, 1, 63, 117, 297, 405, 797, 337, 10173, 8327, 29157}},
-{5339, 16, 26749, {1, 1, 7, 11, 31, 63, 97, 191, 259, 421, 1829, 2117, 4203, 11919, 18001, 55791}},
-{5340, 16, 26753, {1, 3, 7, 9, 21, 13, 125, 247, 133, 611, 463, 227, 7815, 8877, 17961, 3641}},
-{5341, 16, 26759, {1, 1, 7, 9, 27, 21, 97, 165, 371, 715, 491, 3929, 3067, 12501, 5511, 18217}},
-{5342, 16, 26774, {1, 3, 3, 15, 27, 17, 81, 161, 263, 273, 135, 1159, 7535, 4581, 16065, 11493}},
-{5343, 16, 26789, {1, 3, 3, 7, 11, 59, 111, 47, 381, 413, 243, 2173, 4957, 2451, 15669, 22071}},
-{5344, 16, 26808, {1, 3, 7, 5, 3, 31, 65, 131, 111, 141, 1891, 2983, 3331, 769, 24075, 40865}},
-{5345, 16, 26825, {1, 3, 7, 11, 11, 63, 7, 213, 333, 111, 1235, 961, 3749, 9123, 5067, 9657}},
-{5346, 16, 26831, {1, 3, 3, 1, 9, 33, 1, 225, 37, 951, 1995, 3215, 3117, 3723, 15013, 64525}},
-{5347, 16, 26859, {1, 3, 3, 13, 29, 19, 103, 65, 67, 423, 1679, 3791, 5551, 11711, 195, 52291}},
-{5348, 16, 26888, {1, 3, 1, 15, 31, 7, 65, 249, 489, 287, 1385, 1075, 1357, 13593, 20853, 46221}},
-{5349, 16, 26918, {1, 1, 1, 13, 23, 45, 29, 175, 147, 101, 1007, 1867, 5387, 12683, 29609, 55861}},
-{5350, 16, 26929, {1, 3, 5, 13, 21, 31, 85, 187, 183, 179, 1337, 481, 71, 6117, 2177, 27915}},
-{5351, 16, 26950, {1, 3, 5, 1, 15, 5, 11, 141, 205, 177, 891, 3591, 4371, 889, 12957, 61083}},
-{5352, 16, 26954, {1, 3, 7, 7, 11, 39, 81, 241, 13, 757, 521, 3029, 2345, 12385, 20683, 64053}},
-{5353, 16, 26973, {1, 1, 5, 13, 7, 3, 77, 211, 215, 97, 1409, 1021, 1267, 4785, 27231, 2877}},
-{5354, 16, 26997, {1, 3, 5, 3, 11, 57, 93, 39, 415, 179, 1033, 3267, 5383, 10451, 27117, 10711}},
-{5355, 16, 26998, {1, 1, 1, 1, 3, 45, 93, 179, 453, 995, 1423, 3849, 4381, 15789, 20789, 18775}},
-{5356, 16, 27008, {1, 3, 1, 3, 13, 25, 33, 165, 351, 887, 1109, 195, 8131, 3061, 16743, 22997}},
-{5357, 16, 27038, {1, 3, 1, 5, 23, 35, 93, 155, 333, 603, 1571, 229, 2979, 6295, 20793, 40901}},
-{5358, 16, 27109, {1, 3, 3, 11, 29, 57, 101, 61, 487, 719, 1009, 1933, 7815, 15329, 12489, 26105}},
-{5359, 16, 27127, {1, 3, 3, 9, 23, 59, 73, 13, 141, 815, 1819, 3557, 2555, 5901, 23039, 62321}},
-{5360, 16, 27150, {1, 1, 3, 5, 19, 49, 27, 139, 35, 995, 565, 323, 6439, 15679, 27017, 30889}},
-{5361, 16, 27168, {1, 3, 7, 3, 1, 3, 27, 153, 235, 59, 989, 2763, 4197, 3931, 31227, 27129}},
-{5362, 16, 27178, {1, 3, 1, 15, 23, 45, 71, 205, 465, 451, 347, 1909, 3287, 8363, 9081, 35641}},
-{5363, 16, 27212, {1, 1, 5, 1, 25, 29, 17, 201, 463, 903, 1729, 3435, 2483, 10835, 14315, 52505}},
-{5364, 16, 27224, {1, 1, 1, 15, 13, 23, 3, 175, 273, 305, 1945, 3319, 7777, 9411, 4209, 4047}},
-{5365, 16, 27229, {1, 1, 5, 15, 25, 5, 71, 35, 307, 89, 301, 3465, 1497, 13467, 21911, 13611}},
-{5366, 16, 27246, {1, 3, 1, 7, 11, 7, 33, 241, 349, 751, 633, 3281, 6733, 13833, 23605, 34307}},
-{5367, 16, 27251, {1, 1, 1, 15, 17, 27, 45, 13, 259, 843, 1207, 1735, 4063, 6259, 1751, 45107}},
-{5368, 16, 27257, {1, 1, 5, 15, 29, 51, 73, 95, 5, 31, 933, 423, 5505, 2193, 14919, 2715}},
-{5369, 16, 27258, {1, 3, 1, 3, 23, 5, 29, 7, 271, 485, 827, 1159, 77, 16337, 27933, 18741}},
-{5370, 16, 27260, {1, 3, 7, 9, 23, 33, 47, 191, 59, 301, 1277, 3745, 7837, 799, 2861, 25853}},
-{5371, 16, 27287, {1, 3, 7, 13, 13, 39, 33, 91, 279, 855, 1917, 3601, 3971, 6193, 16951, 6115}},
-{5372, 16, 27300, {1, 1, 3, 13, 15, 59, 89, 239, 313, 545, 431, 3823, 5741, 14981, 2647, 42813}},
-{5373, 16, 27315, {1, 1, 1, 3, 17, 21, 45, 37, 343, 737, 1795, 2659, 2897, 7683, 15191, 1393}},
-{5374, 16, 27329, {1, 1, 3, 3, 19, 55, 27, 201, 459, 953, 1531, 671, 5667, 11695, 149, 14605}},
-{5375, 16, 27332, {1, 3, 7, 13, 9, 63, 67, 229, 69, 819, 859, 2035, 5725, 13403, 24197, 2599}},
-{5376, 16, 27349, {1, 1, 7, 7, 1, 59, 45, 105, 327, 779, 59, 791, 7593, 8189, 28161, 13339}},
-{5377, 16, 27350, {1, 3, 3, 15, 25, 55, 125, 189, 327, 733, 115, 3541, 5227, 12143, 32719, 15785}},
-{5378, 16, 27354, {1, 3, 3, 7, 19, 51, 35, 63, 507, 89, 1441, 2369, 4927, 7953, 10193, 8331}},
-{5379, 16, 27359, {1, 1, 5, 5, 21, 1, 41, 49, 217, 1001, 1649, 2789, 5267, 1525, 3811, 40785}},
-{5380, 16, 27377, {1, 1, 7, 15, 31, 21, 33, 183, 425, 393, 367, 3253, 3047, 465, 28229, 44743}},
-{5381, 16, 27378, {1, 3, 7, 5, 1, 23, 11, 71, 269, 707, 5, 2931, 1959, 15089, 9299, 43927}},
-{5382, 16, 27383, {1, 3, 5, 15, 21, 51, 31, 15, 49, 481, 297, 3871, 751, 10661, 26401, 62923}},
-{5383, 16, 27384, {1, 3, 1, 7, 17, 27, 35, 255, 205, 865, 1659, 1921, 5457, 11633, 2825, 13549}},
-{5384, 16, 27387, {1, 1, 5, 15, 17, 35, 83, 237, 437, 7, 2001, 2225, 2601, 10841, 7953, 20651}},
-{5385, 16, 27392, {1, 1, 1, 3, 3, 37, 43, 135, 451, 203, 1319, 261, 3889, 14489, 9635, 52545}},
-{5386, 16, 27402, {1, 3, 3, 13, 15, 41, 95, 207, 43, 997, 207, 3459, 5995, 5187, 15851, 28551}},
-{5387, 16, 27438, {1, 1, 1, 5, 23, 57, 49, 101, 303, 921, 745, 1407, 7071, 2765, 18703, 32671}},
-{5388, 16, 27481, {1, 1, 7, 13, 9, 59, 65, 157, 209, 295, 107, 3175, 3401, 1197, 1875, 9033}},
-{5389, 16, 27482, {1, 1, 3, 3, 17, 9, 101, 75, 177, 905, 1013, 397, 3421, 6475, 15897, 11269}},
-{5390, 16, 27494, {1, 3, 1, 5, 29, 53, 105, 83, 383, 137, 1169, 1245, 6973, 8701, 317, 10073}},
-{5391, 16, 27531, {1, 1, 1, 3, 15, 55, 69, 219, 507, 707, 945, 397, 779, 4157, 10333, 7869}},
-{5392, 16, 27542, {1, 3, 1, 3, 9, 21, 125, 153, 107, 969, 1979, 651, 1199, 11419, 17043, 32269}},
-{5393, 16, 27546, {1, 1, 1, 7, 1, 29, 71, 127, 209, 853, 1515, 1169, 5055, 9981, 30291, 29569}},
-{5394, 16, 27564, {1, 3, 1, 11, 1, 1, 109, 251, 329, 633, 2021, 1237, 2147, 11471, 26025, 19649}},
-{5395, 16, 27567, {1, 1, 5, 1, 5, 7, 77, 175, 251, 143, 711, 1241, 2133, 9993, 9203, 24949}},
-{5396, 16, 27582, {1, 3, 5, 11, 19, 11, 101, 83, 91, 595, 753, 2389, 1887, 11569, 29759, 55785}},
-{5397, 16, 27608, {1, 1, 1, 3, 29, 47, 49, 249, 495, 451, 1887, 2547, 543, 2755, 17207, 24379}},
-{5398, 16, 27611, {1, 3, 7, 7, 19, 15, 95, 143, 109, 221, 2041, 3593, 4571, 14547, 14217, 16711}},
-{5399, 16, 27624, {1, 3, 5, 13, 27, 55, 31, 209, 39, 989, 1435, 1665, 7265, 14127, 13517, 37647}},
-{5400, 16, 27629, {1, 1, 3, 7, 1, 49, 63, 71, 249, 371, 435, 3591, 2677, 143, 28897, 38981}},
-{5401, 16, 27655, {1, 1, 7, 7, 21, 9, 53, 221, 23, 515, 1971, 3759, 3511, 10207, 12929, 42021}},
-{5402, 16, 27667, {1, 3, 1, 13, 25, 21, 3, 85, 421, 19, 663, 3219, 3541, 13021, 5765, 39623}},
-{5403, 16, 27676, {1, 3, 1, 7, 11, 5, 125, 169, 293, 715, 1111, 2965, 4815, 6047, 27207, 23093}},
-{5404, 16, 27710, {1, 1, 5, 13, 11, 15, 37, 201, 457, 551, 821, 25, 435, 14307, 25855, 1811}},
-{5405, 16, 27724, {1, 3, 3, 9, 27, 15, 1, 253, 217, 549, 1013, 2277, 4171, 3813, 19857, 8641}},
-{5406, 16, 27745, {1, 3, 5, 5, 29, 37, 71, 49, 163, 949, 425, 2459, 945, 13125, 13981, 21669}},
-{5407, 16, 27752, {1, 3, 3, 9, 17, 23, 53, 235, 83, 887, 439, 1939, 7601, 15275, 15739, 17623}},
-{5408, 16, 27770, {1, 3, 5, 13, 7, 51, 73, 67, 167, 849, 2021, 2977, 6591, 3721, 5827, 40897}},
-{5409, 16, 27779, {1, 1, 5, 11, 27, 19, 81, 181, 383, 23, 1061, 3327, 1671, 7113, 7435, 17591}},
-{5410, 16, 27781, {1, 3, 3, 7, 25, 33, 73, 23, 103, 821, 917, 1425, 4739, 7227, 12365, 29509}},
-{5411, 16, 27791, {1, 1, 1, 7, 3, 37, 81, 231, 135, 663, 1983, 399, 6881, 14991, 4957, 20913}},
-{5412, 16, 27809, {1, 3, 7, 15, 25, 41, 65, 215, 301, 471, 1669, 65, 227, 9307, 29867, 9503}},
-{5413, 16, 27810, {1, 1, 7, 3, 25, 47, 31, 63, 53, 995, 33, 1297, 3423, 12301, 16255, 14467}},
-{5414, 16, 27815, {1, 3, 1, 1, 31, 25, 79, 131, 353, 169, 1425, 2257, 2631, 1559, 793, 48383}},
-{5415, 16, 27827, {1, 3, 3, 5, 31, 9, 93, 35, 503, 243, 595, 2939, 771, 7333, 13429, 59457}},
-{5416, 16, 27834, {1, 3, 1, 7, 5, 51, 21, 237, 453, 743, 775, 2207, 453, 12077, 12283, 9735}},
-{5417, 16, 27865, {1, 3, 1, 15, 5, 47, 59, 239, 87, 97, 885, 3191, 2547, 13227, 7433, 4989}},
-{5418, 16, 27899, {1, 3, 5, 15, 21, 33, 41, 155, 509, 317, 517, 1101, 133, 1897, 8235, 57673}},
-{5419, 16, 27901, {1, 1, 5, 15, 7, 9, 59, 155, 415, 831, 1173, 1263, 5451, 7181, 7233, 51483}},
-{5420, 16, 27914, {1, 1, 7, 3, 31, 43, 71, 39, 155, 529, 895, 827, 3203, 4625, 32185, 53507}},
-{5421, 16, 27950, {1, 3, 1, 11, 15, 17, 85, 141, 277, 439, 1775, 4015, 4457, 281, 22455, 47591}},
-{5422, 16, 27994, {1, 3, 5, 11, 25, 41, 93, 39, 51, 655, 1347, 3109, 2479, 9057, 18939, 26217}},
-{5423, 16, 28005, {1, 3, 3, 11, 31, 41, 7, 189, 241, 443, 65, 1723, 4817, 13405, 9641, 63965}},
-{5424, 16, 28009, {1, 1, 5, 3, 19, 29, 111, 11, 399, 277, 425, 1331, 5365, 14521, 16449, 29411}},
-{5425, 16, 28033, {1, 1, 3, 9, 25, 53, 91, 175, 481, 307, 1025, 71, 7425, 10667, 4053, 25605}},
-{5426, 16, 28039, {1, 3, 7, 7, 3, 13, 75, 175, 467, 363, 1889, 1759, 1155, 5511, 13047, 39637}},
-{5427, 16, 28060, {1, 3, 7, 9, 5, 21, 65, 43, 223, 97, 835, 2253, 3313, 9817, 23015, 55365}},
-{5428, 16, 28067, {1, 1, 1, 13, 9, 63, 95, 61, 417, 713, 1469, 1815, 795, 13609, 1567, 33535}},
-{5429, 16, 28069, {1, 3, 7, 1, 25, 45, 41, 27, 53, 407, 1633, 1317, 6267, 3293, 8899, 45235}},
-{5430, 16, 28099, {1, 3, 5, 11, 23, 47, 91, 211, 41, 775, 1301, 1407, 7931, 4491, 7579, 62321}},
-{5431, 16, 28113, {1, 1, 1, 7, 23, 15, 57, 31, 437, 293, 1999, 2589, 5453, 2519, 15533, 26949}},
-{5432, 16, 28114, {1, 3, 1, 9, 1, 27, 41, 165, 129, 297, 1887, 1171, 201, 5817, 24503, 38911}},
-{5433, 16, 28139, {1, 3, 1, 7, 1, 11, 63, 225, 191, 623, 1281, 3275, 167, 14697, 4905, 47289}},
-{5434, 16, 28142, {1, 3, 7, 7, 15, 47, 87, 177, 303, 391, 355, 3997, 7557, 6201, 20531, 22483}},
-{5435, 16, 28153, {1, 3, 3, 15, 17, 31, 111, 87, 61, 477, 1581, 3787, 5919, 10511, 2607, 62951}},
-{5436, 16, 28166, {1, 3, 3, 9, 29, 19, 63, 27, 205, 915, 1131, 3821, 673, 2875, 12703, 14367}},
-{5437, 16, 28172, {1, 3, 7, 1, 21, 19, 25, 97, 281, 635, 629, 181, 5207, 11133, 3687, 3489}},
-{5438, 16, 28183, {1, 3, 3, 9, 5, 63, 3, 21, 385, 713, 1805, 3583, 2807, 15455, 13057, 39771}},
-{5439, 16, 28194, {1, 3, 5, 9, 3, 59, 1, 253, 123, 405, 575, 3911, 4609, 11869, 23593, 947}},
-{5440, 16, 28232, {1, 1, 7, 5, 21, 27, 101, 221, 413, 153, 1647, 3637, 803, 5697, 20761, 61137}},
-{5441, 16, 28245, {1, 3, 7, 13, 31, 35, 111, 253, 187, 499, 465, 157, 5551, 10417, 323, 34913}},
-{5442, 16, 28246, {1, 1, 1, 7, 11, 41, 29, 65, 393, 69, 1373, 2291, 7807, 13159, 13735, 31001}},
-{5443, 16, 28252, {1, 3, 7, 13, 31, 49, 1, 35, 377, 11, 427, 2803, 1725, 9165, 22633, 63985}},
-{5444, 16, 28265, {1, 3, 7, 13, 3, 41, 27, 43, 269, 599, 1035, 3681, 309, 6011, 1065, 27901}},
-{5445, 16, 28301, {1, 3, 5, 13, 1, 19, 105, 143, 425, 883, 1669, 155, 189, 8573, 10759, 25507}},
-{5446, 16, 28323, {1, 3, 5, 1, 15, 37, 115, 9, 149, 79, 1733, 1045, 1849, 3289, 13957, 63171}},
-{5447, 16, 28344, {1, 1, 3, 9, 17, 27, 49, 201, 155, 901, 47, 1585, 4419, 8117, 25425, 14699}},
-{5448, 16, 28362, {1, 1, 7, 13, 19, 55, 19, 21, 427, 77, 1295, 1471, 6271, 7985, 19337, 12701}},
-{5449, 16, 28400, {1, 1, 1, 1, 11, 49, 101, 53, 175, 157, 839, 2713, 6149, 6391, 8089, 27739}},
-{5450, 16, 28417, {1, 3, 1, 1, 5, 21, 121, 199, 107, 221, 993, 1737, 409, 2545, 9287, 54605}},
-{5451, 16, 28454, {1, 1, 1, 3, 25, 25, 51, 121, 371, 861, 967, 3257, 6221, 11701, 27897, 42509}},
-{5452, 16, 28466, {1, 1, 1, 3, 17, 25, 101, 191, 313, 817, 815, 1855, 7999, 12649, 23385, 26081}},
-{5453, 16, 28468, {1, 1, 5, 1, 25, 55, 51, 237, 63, 943, 455, 619, 2381, 9773, 14575, 34205}},
-{5454, 16, 28477, {1, 3, 3, 3, 13, 49, 101, 37, 457, 727, 1009, 2389, 4841, 16303, 9599, 17773}},
-{5455, 16, 28498, {1, 1, 7, 9, 19, 59, 111, 205, 19, 229, 1755, 1169, 7767, 13335, 19669, 33269}},
-{5456, 16, 28510, {1, 3, 1, 15, 29, 1, 51, 167, 7, 415, 1295, 3165, 1241, 12859, 5531, 20083}},
-{5457, 16, 28513, {1, 1, 3, 7, 7, 51, 31, 221, 57, 643, 1461, 3951, 6237, 5757, 1907, 40471}},
-{5458, 16, 28571, {1, 3, 3, 5, 23, 39, 49, 177, 183, 117, 1379, 3803, 771, 12723, 22291, 32667}},
-{5459, 16, 28573, {1, 1, 3, 13, 27, 17, 39, 27, 313, 141, 1421, 2967, 2213, 1915, 23219, 15113}},
-{5460, 16, 28578, {1, 1, 1, 11, 5, 55, 51, 55, 389, 895, 57, 1447, 1497, 2799, 19585, 11587}},
-{5461, 16, 28587, {1, 1, 5, 13, 11, 55, 91, 77, 69, 131, 93, 1383, 3321, 10487, 15087, 8539}},
-{5462, 16, 28601, {1, 1, 3, 9, 23, 49, 107, 131, 363, 733, 1189, 3575, 7815, 10071, 20291, 7533}},
-{5463, 16, 28646, {1, 1, 3, 15, 31, 31, 73, 15, 199, 17, 761, 3271, 1419, 12985, 32717, 37317}},
-{5464, 16, 28663, {1, 3, 1, 13, 23, 9, 3, 59, 109, 729, 1321, 4023, 7041, 14445, 22205, 8993}},
-{5465, 16, 28681, {1, 1, 3, 15, 19, 43, 99, 59, 491, 479, 715, 2235, 7493, 889, 31465, 1375}},
-{5466, 16, 28682, {1, 3, 3, 15, 9, 47, 35, 115, 227, 615, 605, 1143, 5923, 10939, 9497, 24911}},
-{5467, 16, 28699, {1, 1, 3, 15, 23, 53, 111, 87, 423, 497, 85, 3525, 7341, 8885, 21543, 30083}},
-{5468, 16, 28706, {1, 1, 5, 3, 21, 5, 117, 157, 407, 743, 715, 1883, 4425, 10187, 6395, 43673}},
-{5469, 16, 28708, {1, 3, 3, 3, 31, 39, 119, 77, 269, 891, 1391, 3085, 2881, 10639, 3391, 44911}},
-{5470, 16, 28717, {1, 3, 7, 5, 7, 5, 115, 91, 5, 107, 1401, 1409, 1811, 737, 5399, 9119}},
-{5471, 16, 28720, {1, 1, 5, 9, 17, 45, 107, 15, 397, 299, 1219, 1675, 963, 10111, 31679, 13809}},
-{5472, 16, 28735, {1, 1, 3, 7, 29, 17, 43, 95, 261, 601, 1091, 3633, 1357, 13461, 16583, 12183}},
-{5473, 16, 28761, {1, 1, 5, 1, 19, 55, 5, 195, 187, 427, 421, 1717, 4223, 2943, 23147, 32985}},
-{5474, 16, 28783, {1, 3, 1, 3, 3, 23, 69, 95, 347, 273, 1223, 3061, 1587, 4707, 32415, 53991}},
-{5475, 16, 28788, {1, 1, 7, 13, 15, 13, 29, 151, 325, 949, 2029, 813, 5339, 14165, 1159, 56917}},
-{5476, 16, 28811, {1, 1, 1, 13, 9, 33, 67, 109, 215, 313, 1407, 3543, 2403, 5051, 20367, 13527}},
-{5477, 16, 28825, {1, 3, 1, 9, 5, 1, 9, 195, 497, 495, 1107, 745, 1647, 10637, 1933, 44965}},
-{5478, 16, 28838, {1, 1, 3, 9, 13, 19, 49, 183, 497, 519, 1433, 519, 4317, 2359, 10349, 63789}},
-{5479, 16, 28850, {1, 3, 5, 9, 29, 45, 55, 163, 189, 533, 275, 237, 5453, 8895, 6377, 14117}},
-{5480, 16, 28891, {1, 3, 7, 5, 25, 3, 111, 241, 139, 383, 689, 3481, 2557, 11163, 5275, 14671}},
-{5481, 16, 28897, {1, 3, 3, 9, 3, 5, 5, 141, 507, 331, 645, 1957, 5857, 2083, 24717, 11131}},
-{5482, 16, 28932, {1, 1, 5, 1, 11, 49, 113, 45, 491, 945, 1467, 3485, 6369, 15983, 14489, 12679}},
-{5483, 16, 28975, {1, 3, 7, 9, 11, 41, 77, 127, 147, 635, 1757, 587, 7423, 4233, 14875, 30531}},
-{5484, 16, 28998, {1, 3, 3, 9, 17, 29, 21, 249, 155, 441, 1443, 2093, 1967, 2117, 5815, 3857}},
-{5485, 16, 29052, {1, 3, 5, 3, 11, 55, 75, 157, 105, 507, 309, 3737, 2645, 7547, 29373, 62775}},
-{5486, 16, 29090, {1, 1, 3, 3, 11, 29, 49, 241, 21, 653, 1273, 715, 8123, 14241, 25257, 1681}},
-{5487, 16, 29096, {1, 1, 7, 5, 11, 31, 33, 215, 243, 369, 247, 3365, 4065, 9389, 32457, 58393}},
-{5488, 16, 29104, {1, 3, 5, 3, 31, 55, 51, 201, 439, 835, 1805, 25, 7987, 10611, 26893, 43663}},
-{5489, 16, 29113, {1, 1, 5, 9, 27, 51, 29, 31, 17, 163, 71, 603, 3083, 12439, 11043, 6471}},
-{5490, 16, 29133, {1, 1, 5, 7, 13, 1, 91, 109, 213, 721, 1345, 3037, 3047, 5209, 15559, 17467}},
-{5491, 16, 29142, {1, 1, 3, 9, 19, 37, 93, 185, 107, 859, 501, 3843, 1631, 4389, 2215, 52225}},
-{5492, 16, 29170, {1, 1, 3, 3, 25, 5, 119, 17, 33, 841, 997, 439, 6135, 7405, 8445, 40087}},
-{5493, 16, 29192, {1, 1, 7, 15, 19, 17, 101, 43, 423, 647, 29, 1143, 3259, 7807, 15929, 809}},
-{5494, 16, 29221, {1, 1, 7, 13, 21, 57, 83, 101, 183, 309, 171, 3173, 7919, 7263, 29403, 11055}},
-{5495, 16, 29236, {1, 1, 1, 13, 3, 1, 57, 15, 435, 713, 459, 847, 3115, 191, 19809, 43037}},
-{5496, 16, 29246, {1, 1, 7, 7, 17, 45, 91, 117, 157, 647, 121, 4091, 3611, 14169, 19883, 9069}},
-{5497, 16, 29293, {1, 1, 7, 7, 1, 47, 21, 253, 419, 157, 549, 2105, 4475, 3127, 3939, 5809}},
-{5498, 16, 29305, {1, 1, 5, 7, 15, 7, 71, 195, 87, 757, 77, 1391, 151, 12995, 26403, 17789}},
-{5499, 16, 29312, {1, 1, 1, 15, 15, 3, 79, 43, 475, 263, 1195, 2385, 5955, 7039, 15625, 19263}},
-{5500, 16, 29339, {1, 1, 5, 13, 13, 29, 5, 29, 489, 929, 2027, 2771, 6899, 14173, 13747, 1019}},
-{5501, 16, 29365, {1, 1, 7, 1, 5, 45, 37, 85, 221, 871, 627, 3445, 4853, 4243, 21651, 30201}},
-{5502, 16, 29389, {1, 3, 7, 11, 9, 49, 73, 245, 161, 321, 579, 2641, 6653, 5513, 11555, 53091}},
-{5503, 16, 29402, {1, 1, 7, 7, 25, 63, 101, 179, 497, 113, 9, 549, 5341, 6097, 13305, 52421}},
-{5504, 16, 29423, {1, 3, 3, 7, 21, 7, 89, 79, 137, 651, 189, 3025, 1403, 4559, 32611, 1857}},
-{5505, 16, 29443, {1, 3, 1, 13, 27, 55, 61, 135, 81, 195, 799, 3477, 4873, 2691, 29769, 59033}},
-{5506, 16, 29445, {1, 3, 3, 15, 29, 11, 7, 11, 151, 649, 1511, 2327, 6921, 12911, 3571, 35039}},
-{5507, 16, 29463, {1, 1, 5, 11, 25, 19, 49, 133, 455, 373, 1827, 3619, 2127, 3365, 11327, 52785}},
-{5508, 16, 29473, {1, 3, 5, 1, 9, 19, 107, 171, 205, 93, 1557, 2693, 4297, 4415, 20407, 19221}},
-{5509, 16, 29493, {1, 3, 3, 11, 15, 45, 37, 143, 61, 759, 2047, 2465, 3923, 9477, 30831, 46377}},
-{5510, 16, 29506, {1, 3, 7, 11, 17, 51, 117, 129, 77, 579, 1167, 1575, 1967, 10099, 22137, 31431}},
-{5511, 16, 29518, {1, 1, 5, 13, 31, 61, 67, 37, 49, 283, 235, 783, 7353, 5149, 12245, 18725}},
-{5512, 16, 29532, {1, 1, 5, 3, 17, 33, 35, 83, 359, 253, 1911, 913, 6481, 4635, 24223, 19693}},
-{5513, 16, 29560, {1, 1, 1, 13, 19, 15, 81, 131, 417, 969, 1911, 2829, 3097, 5333, 11175, 52269}},
-{5514, 16, 29590, {1, 3, 7, 15, 5, 39, 19, 205, 329, 83, 1473, 3259, 6409, 12297, 30557, 40917}},
-{5515, 16, 29594, {1, 3, 1, 15, 17, 33, 123, 185, 501, 299, 621, 929, 5797, 10539, 12321, 61043}},
-{5516, 16, 29637, {1, 3, 3, 1, 7, 51, 119, 19, 17, 203, 373, 2145, 2367, 9965, 28071, 50083}},
-{5517, 16, 29647, {1, 1, 1, 5, 1, 35, 43, 243, 91, 793, 1299, 2705, 7987, 1291, 10147, 17863}},
-{5518, 16, 29650, {1, 3, 5, 15, 27, 13, 99, 33, 179, 479, 897, 1113, 1639, 12321, 23987, 36219}},
-{5519, 16, 29655, {1, 1, 5, 9, 29, 41, 85, 9, 389, 583, 293, 1727, 2575, 13767, 15443, 40027}},
-{5520, 16, 29661, {1, 1, 7, 11, 29, 33, 93, 115, 51, 747, 1569, 3557, 869, 1991, 29877, 44131}},
-{5521, 16, 29680, {1, 3, 7, 7, 29, 11, 33, 137, 411, 689, 1815, 1789, 6557, 5973, 19445, 49449}},
-{5522, 16, 29721, {1, 1, 5, 1, 17, 3, 77, 55, 351, 325, 983, 3935, 819, 14127, 18893, 62553}},
-{5523, 16, 29751, {1, 3, 3, 1, 15, 33, 25, 159, 135, 385, 837, 3615, 1649, 1687, 3421, 47579}},
-{5524, 16, 29755, {1, 3, 1, 7, 17, 25, 125, 169, 469, 919, 1789, 863, 2827, 949, 21347, 10517}},
-{5525, 16, 29760, {1, 3, 1, 11, 27, 19, 45, 255, 175, 483, 1073, 3779, 611, 2809, 179, 19767}},
-{5526, 16, 29772, {1, 1, 3, 1, 21, 61, 47, 171, 179, 85, 61, 1209, 4005, 11439, 8477, 27229}},
-{5527, 16, 29778, {1, 1, 1, 1, 3, 1, 43, 159, 261, 411, 1449, 1621, 3681, 3465, 24029, 3493}},
-{5528, 16, 29799, {1, 3, 1, 11, 5, 13, 9, 23, 369, 769, 363, 3329, 409, 13151, 30269, 9621}},
-{5529, 16, 29824, {1, 1, 5, 1, 13, 39, 121, 39, 295, 981, 1151, 4039, 8179, 5007, 25527, 1249}},
-{5530, 16, 29841, {1, 3, 7, 5, 17, 21, 47, 233, 211, 349, 643, 109, 7553, 11453, 30967, 30959}},
-{5531, 16, 29842, {1, 1, 5, 3, 31, 39, 105, 137, 487, 855, 107, 1567, 2385, 2889, 25777, 33709}},
-{5532, 16, 29853, {1, 1, 1, 9, 1, 7, 9, 69, 465, 965, 355, 299, 3327, 14997, 14599, 2241}},
-{5533, 16, 29867, {1, 3, 5, 11, 5, 39, 69, 203, 367, 611, 199, 3931, 5039, 8683, 8675, 49151}},
-{5534, 16, 29949, {1, 1, 7, 13, 31, 35, 101, 213, 273, 827, 203, 2773, 4131, 1397, 15311, 62903}},
-{5535, 16, 29950, {1, 3, 7, 9, 23, 41, 33, 213, 411, 965, 563, 3035, 247, 15019, 20429, 61081}},
-{5536, 16, 29964, {1, 1, 5, 5, 5, 1, 1, 203, 27, 199, 67, 1301, 7831, 12839, 2777, 6325}},
-{5537, 16, 29967, {1, 3, 1, 11, 27, 3, 11, 173, 9, 121, 1701, 2741, 29, 16319, 15849, 11989}},
-{5538, 16, 29985, {1, 1, 5, 13, 17, 49, 125, 153, 261, 603, 1617, 3967, 6083, 7745, 19683, 49885}},
-{5539, 16, 29992, {1, 3, 3, 7, 23, 13, 39, 169, 135, 361, 579, 1443, 7615, 2389, 5669, 651}},
-{5540, 16, 30000, {1, 3, 5, 9, 31, 19, 81, 83, 483, 93, 1895, 2285, 7771, 8281, 8353, 39677}},
-{5541, 16, 30020, {1, 1, 7, 7, 23, 51, 127, 25, 101, 611, 1095, 3013, 2685, 8153, 22629, 53355}},
-{5542, 16, 30024, {1, 1, 1, 11, 11, 37, 35, 127, 317, 877, 1591, 401, 4121, 9945, 12121, 28257}},
-{5543, 16, 30030, {1, 3, 5, 11, 23, 9, 43, 135, 37, 405, 2009, 2903, 3065, 6591, 8473, 58231}},
-{5544, 16, 30066, {1, 1, 3, 11, 21, 45, 21, 205, 425, 891, 357, 2609, 495, 7541, 2161, 37853}},
-{5545, 16, 30071, {1, 3, 1, 1, 25, 9, 113, 243, 317, 491, 997, 2023, 5869, 13643, 11483, 6733}},
-{5546, 16, 30078, {1, 3, 1, 15, 13, 3, 75, 25, 409, 421, 1817, 857, 4575, 12559, 1211, 62177}},
-{5547, 16, 30082, {1, 1, 3, 7, 17, 35, 115, 195, 217, 223, 1195, 749, 5619, 7265, 7369, 46907}},
-{5548, 16, 30096, {1, 1, 1, 13, 5, 57, 117, 161, 121, 533, 987, 3959, 5047, 15213, 15811, 41841}},
-{5549, 16, 30101, {1, 3, 7, 1, 19, 55, 97, 191, 217, 75, 1881, 3351, 3737, 12179, 22875, 28767}},
-{5550, 16, 30102, {1, 3, 1, 9, 15, 41, 9, 97, 491, 31, 1191, 963, 875, 8259, 2723, 9503}},
-{5551, 16, 30122, {1, 3, 7, 9, 3, 17, 21, 71, 1, 523, 2031, 3469, 3181, 8707, 6093, 8837}},
-{5552, 16, 30141, {1, 3, 5, 3, 5, 1, 11, 91, 33, 37, 643, 85, 4325, 4293, 8351, 28311}},
-{5553, 16, 30159, {1, 3, 7, 5, 15, 45, 47, 183, 391, 113, 493, 3607, 2541, 13521, 31613, 36049}},
-{5554, 16, 30168, {1, 1, 3, 9, 15, 33, 115, 69, 289, 217, 1875, 1339, 4995, 9073, 6909, 15977}},
-{5555, 16, 30177, {1, 1, 7, 3, 9, 29, 39, 219, 119, 369, 893, 1293, 4511, 15703, 11093, 30259}},
-{5556, 16, 30183, {1, 1, 5, 13, 19, 9, 17, 75, 149, 415, 35, 97, 563, 1689, 18311, 54291}},
-{5557, 16, 30197, {1, 1, 7, 3, 17, 15, 71, 29, 25, 883, 1801, 1675, 5585, 9413, 3813, 26673}},
-{5558, 16, 30213, {1, 1, 3, 15, 5, 13, 31, 41, 311, 411, 573, 281, 8075, 7163, 11817, 29121}},
-{5559, 16, 30231, {1, 1, 7, 9, 7, 57, 15, 141, 337, 123, 269, 3737, 6455, 2539, 13655, 59809}},
-{5560, 16, 30232, {1, 3, 1, 15, 15, 23, 111, 51, 429, 483, 1567, 1317, 8057, 1609, 30181, 35687}},
-{5561, 16, 30241, {1, 3, 7, 9, 25, 43, 67, 13, 319, 587, 1827, 443, 2031, 8563, 16173, 58667}},
-{5562, 16, 30253, {1, 3, 5, 13, 11, 63, 89, 105, 377, 257, 7, 4077, 5091, 5125, 25, 39033}},
-{5563, 16, 30259, {1, 3, 3, 1, 9, 29, 7, 87, 239, 469, 1851, 1711, 5797, 7137, 11405, 20175}},
-{5564, 16, 30262, {1, 3, 3, 1, 13, 17, 101, 209, 301, 95, 1181, 3091, 4451, 1241, 17057, 335}},
-{5565, 16, 30268, {1, 1, 1, 9, 31, 7, 81, 161, 391, 677, 115, 141, 5375, 7279, 1887, 1645}},
-{5566, 16, 30297, {1, 1, 1, 11, 27, 61, 3, 195, 189, 409, 1747, 331, 2931, 9535, 1369, 47233}},
-{5567, 16, 30316, {1, 3, 5, 15, 7, 15, 105, 255, 491, 689, 97, 1131, 3459, 7147, 27541, 62307}},
-{5568, 16, 30322, {1, 3, 5, 9, 5, 23, 1, 209, 233, 717, 1919, 1835, 5073, 10403, 28979, 1945}},
-{5569, 16, 30344, {1, 1, 3, 9, 3, 35, 107, 209, 255, 447, 227, 273, 443, 9367, 24105, 34095}},
-{5570, 16, 30350, {1, 1, 3, 11, 3, 33, 5, 165, 83, 787, 1555, 31, 4351, 16301, 27453, 56739}},
-{5571, 16, 30355, {1, 1, 5, 5, 29, 9, 127, 253, 281, 487, 441, 1129, 2811, 9113, 28855, 57117}},
-{5572, 16, 30429, {1, 1, 1, 13, 13, 1, 17, 143, 121, 917, 1571, 3777, 2297, 3691, 3001, 42327}},
-{5573, 16, 30445, {1, 1, 5, 1, 25, 7, 41, 245, 241, 929, 1203, 3755, 7113, 9333, 22549, 12253}},
-{5574, 16, 30477, {1, 3, 1, 11, 1, 13, 69, 73, 285, 975, 1331, 3411, 7777, 3489, 2763, 44297}},
-{5575, 16, 30513, {1, 3, 5, 11, 3, 37, 21, 105, 153, 307, 989, 627, 3127, 6169, 10573, 22139}},
-{5576, 16, 30520, {1, 3, 5, 15, 11, 11, 39, 21, 355, 437, 547, 2283, 6443, 5561, 6367, 53899}},
-{5577, 16, 30540, {1, 1, 1, 9, 25, 51, 97, 175, 131, 207, 1367, 2561, 7455, 8289, 5877, 4383}},
-{5578, 16, 30551, {1, 3, 7, 1, 29, 17, 7, 1, 43, 831, 591, 2145, 975, 909, 23107, 43987}},
-{5579, 16, 30573, {1, 3, 5, 13, 5, 47, 65, 65, 439, 807, 271, 1615, 1873, 10905, 30537, 3337}},
-{5580, 16, 30609, {1, 1, 1, 13, 29, 1, 53, 5, 307, 347, 1059, 545, 1129, 11883, 5969, 50433}},
-{5581, 16, 30622, {1, 1, 3, 5, 31, 29, 63, 201, 255, 803, 677, 1499, 1691, 14037, 18251, 6881}},
-{5582, 16, 30635, {1, 3, 1, 5, 5, 13, 13, 121, 505, 855, 467, 2803, 3297, 4689, 18443, 60757}},
-{5583, 16, 30658, {1, 1, 5, 13, 11, 19, 11, 201, 101, 431, 693, 1267, 6909, 7759, 2265, 6125}},
-{5584, 16, 30667, {1, 1, 7, 13, 9, 3, 37, 209, 269, 27, 1041, 2587, 4667, 11077, 27009, 27967}},
-{5585, 16, 30681, {1, 1, 5, 5, 1, 5, 127, 179, 463, 949, 1525, 231, 1201, 3283, 9929, 46677}},
-{5586, 16, 30684, {1, 3, 1, 15, 9, 11, 89, 129, 331, 833, 1415, 229, 2059, 13145, 30525, 33773}},
-{5587, 16, 30703, {1, 1, 7, 15, 7, 43, 95, 177, 313, 989, 483, 825, 1885, 4535, 8213, 39835}},
-{5588, 16, 30705, {1, 1, 7, 3, 19, 27, 45, 163, 17, 523, 1565, 3753, 7433, 14117, 8499, 40177}},
-{5589, 16, 30715, {1, 3, 3, 15, 23, 45, 95, 31, 55, 469, 383, 237, 6287, 5561, 20901, 48259}},
-{5590, 16, 30742, {1, 1, 3, 1, 23, 61, 101, 185, 35, 553, 463, 1169, 2875, 12491, 14327, 47999}},
-{5591, 16, 30748, {1, 3, 3, 13, 23, 29, 77, 21, 19, 3, 769, 1943, 2081, 9135, 29767, 11367}},
-{5592, 16, 30758, {1, 1, 5, 15, 5, 11, 59, 163, 355, 993, 375, 3181, 2675, 8515, 17007, 38467}},
-{5593, 16, 30767, {1, 1, 5, 13, 19, 5, 107, 83, 123, 843, 413, 2137, 7531, 3833, 6149, 55925}},
-{5594, 16, 30770, {1, 3, 1, 13, 23, 9, 41, 145, 265, 591, 1899, 3145, 5255, 13653, 12245, 25367}},
-{5595, 16, 30772, {1, 1, 3, 15, 1, 45, 119, 79, 121, 137, 1945, 2041, 2409, 1377, 29501, 29885}},
-{5596, 16, 30807, {1, 1, 7, 11, 27, 57, 75, 183, 341, 237, 1909, 2785, 5973, 9965, 21729, 45089}},
-{5597, 16, 30814, {1, 3, 5, 7, 21, 1, 41, 189, 131, 1021, 1375, 1463, 5985, 12499, 4115, 9131}},
-{5598, 16, 30824, {1, 3, 7, 15, 21, 19, 59, 171, 339, 841, 1725, 2909, 6437, 2499, 17191, 43275}},
-{5599, 16, 30857, {1, 3, 1, 1, 15, 55, 31, 199, 351, 183, 1819, 1873, 7877, 12407, 7881, 1663}},
-{5600, 16, 30875, {1, 1, 3, 15, 1, 61, 111, 61, 115, 243, 1281, 3195, 1229, 10973, 189, 36049}},
-{5601, 16, 30931, {1, 1, 3, 15, 13, 13, 3, 49, 61, 839, 1615, 1853, 3619, 7805, 25441, 8789}},
-{5602, 16, 30933, {1, 3, 1, 9, 27, 43, 7, 193, 397, 869, 1079, 1785, 6535, 1801, 29363, 59269}},
-{5603, 16, 30949, {1, 3, 5, 5, 31, 57, 37, 53, 41, 871, 809, 1235, 1011, 12979, 8749, 52151}},
-{5604, 16, 30953, {1, 1, 7, 13, 25, 59, 69, 117, 463, 587, 513, 297, 6991, 5905, 25737, 37249}},
-{5605, 16, 30982, {1, 1, 5, 1, 27, 19, 121, 97, 349, 793, 1971, 3057, 4781, 15841, 22625, 58637}},
-{5606, 16, 31010, {1, 1, 5, 5, 25, 31, 11, 133, 411, 239, 1071, 3473, 1733, 7175, 31841, 46665}},
-{5607, 16, 31012, {1, 3, 3, 13, 19, 25, 99, 175, 271, 175, 1755, 3597, 4615, 15207, 25573, 16089}},
-{5608, 16, 31039, {1, 1, 7, 11, 17, 19, 119, 91, 505, 791, 55, 2979, 7463, 10147, 23647, 33283}},
-{5609, 16, 31041, {1, 3, 1, 1, 21, 11, 43, 173, 239, 839, 1533, 1559, 549, 15621, 22133, 46387}},
-{5610, 16, 31061, {1, 1, 3, 13, 31, 15, 73, 15, 209, 267, 701, 2899, 1163, 10093, 7727, 44211}},
-{5611, 16, 31082, {1, 3, 1, 11, 29, 21, 5, 39, 421, 375, 411, 3693, 3901, 8507, 10883, 16189}},
-{5612, 16, 31087, {1, 3, 1, 7, 13, 13, 73, 167, 149, 677, 1435, 621, 2511, 13813, 13129, 55327}},
-{5613, 16, 31096, {1, 3, 5, 15, 7, 59, 83, 221, 77, 357, 281, 2689, 5629, 5837, 1701, 30811}},
-{5614, 16, 31115, {1, 3, 3, 11, 17, 1, 43, 95, 473, 981, 1487, 1337, 905, 3307, 22357, 181}},
-{5615, 16, 31130, {1, 1, 3, 7, 1, 27, 9, 3, 489, 1, 1265, 2463, 539, 12769, 825, 6149}},
-{5616, 16, 31168, {1, 3, 3, 3, 11, 27, 81, 237, 411, 241, 1613, 931, 6397, 4325, 29651, 49003}},
-{5617, 16, 31171, {1, 3, 3, 13, 1, 19, 55, 73, 47, 203, 1661, 1245, 6847, 2457, 25427, 33069}},
-{5618, 16, 31177, {1, 3, 7, 3, 7, 47, 11, 165, 391, 457, 301, 1213, 1913, 14531, 7847, 14811}},
-{5619, 16, 31180, {1, 3, 1, 9, 1, 9, 57, 203, 15, 733, 1131, 2751, 5869, 3165, 21497, 28881}},
-{5620, 16, 31191, {1, 3, 1, 5, 9, 7, 29, 85, 71, 571, 469, 2395, 2819, 8443, 2281, 50489}},
-{5621, 16, 31207, {1, 3, 5, 11, 13, 63, 47, 47, 349, 21, 861, 2217, 2945, 6967, 6605, 16459}},
-{5622, 16, 31247, {1, 1, 7, 5, 13, 3, 41, 53, 409, 289, 1225, 2965, 5283, 1785, 14443, 51755}},
-{5623, 16, 31249, {1, 3, 7, 13, 19, 1, 29, 191, 119, 37, 697, 1909, 481, 14157, 13425, 60581}},
-{5624, 16, 31285, {1, 3, 1, 13, 1, 15, 105, 79, 505, 681, 1741, 3683, 5775, 7479, 11387, 1321}},
-{5625, 16, 31303, {1, 1, 1, 11, 9, 35, 77, 73, 351, 217, 2029, 2845, 5143, 5677, 15465, 33123}},
-{5626, 16, 31310, {1, 1, 3, 3, 19, 49, 63, 109, 335, 743, 741, 1673, 3311, 3139, 25197, 13793}},
-{5627, 16, 31337, {1, 3, 1, 3, 29, 63, 79, 1, 493, 13, 1487, 4015, 6983, 1433, 26023, 55591}},
-{5628, 16, 31352, {1, 3, 3, 11, 1, 25, 57, 207, 309, 201, 1513, 1749, 3785, 9217, 11531, 40597}},
-{5629, 16, 31357, {1, 3, 7, 13, 3, 23, 69, 253, 311, 773, 807, 1063, 745, 4843, 25221, 55885}},
-{5630, 16, 31374, {1, 1, 3, 11, 29, 47, 67, 183, 11, 259, 5, 1935, 2295, 8105, 19139, 11707}},
-{5631, 16, 31379, {1, 1, 3, 3, 23, 3, 53, 165, 255, 501, 1547, 3649, 5631, 13307, 8869, 5595}},
-{5632, 16, 31388, {1, 1, 3, 5, 7, 29, 37, 223, 289, 925, 959, 309, 1479, 3141, 18661, 52123}},
-{5633, 16, 31410, {1, 3, 1, 1, 7, 59, 101, 219, 91, 793, 1103, 1485, 7547, 12889, 19097, 15613}},
-{5634, 16, 31416, {1, 1, 5, 15, 1, 17, 79, 83, 131, 683, 1611, 1635, 5405, 9621, 29489, 4801}},
-{5635, 16, 31467, {1, 1, 5, 7, 31, 63, 59, 125, 401, 261, 1445, 33, 187, 12913, 8639, 48413}},
-{5636, 16, 31495, {1, 3, 3, 13, 27, 37, 27, 99, 379, 851, 1311, 4051, 5483, 13935, 29679, 30905}},
-{5637, 16, 31504, {1, 1, 3, 1, 7, 57, 79, 23, 97, 561, 1083, 2327, 1545, 5387, 12119, 29717}},
-{5638, 16, 31507, {1, 1, 7, 7, 9, 41, 63, 165, 315, 247, 89, 2055, 7399, 1399, 2057, 39851}},
-{5639, 16, 31509, {1, 1, 1, 15, 9, 23, 7, 15, 457, 669, 661, 3269, 915, 3475, 15845, 59769}},
-{5640, 16, 31514, {1, 3, 7, 15, 17, 53, 83, 5, 457, 103, 1297, 2413, 1095, 7711, 27935, 56357}},
-{5641, 16, 31516, {1, 1, 3, 5, 17, 3, 81, 23, 165, 341, 781, 3583, 1751, 6763, 13937, 35331}},
-{5642, 16, 31530, {1, 1, 5, 11, 31, 21, 7, 63, 369, 867, 573, 45, 2781, 4507, 21553, 51933}},
-{5643, 16, 31555, {1, 1, 5, 15, 1, 37, 85, 133, 489, 733, 1471, 2089, 979, 7723, 7339, 59595}},
-{5644, 16, 31567, {1, 1, 1, 1, 7, 3, 3, 77, 137, 1009, 481, 1343, 397, 15865, 21701, 37509}},
-{5645, 16, 31570, {1, 3, 7, 5, 17, 57, 19, 245, 249, 289, 1847, 3057, 4905, 5905, 32459, 41305}},
-{5646, 16, 31586, {1, 1, 5, 1, 23, 23, 1, 177, 115, 337, 983, 421, 3135, 6319, 27109, 59641}},
-{5647, 16, 31598, {1, 3, 1, 5, 25, 1, 63, 73, 61, 967, 1567, 2645, 7347, 11877, 28777, 38507}},
-{5648, 16, 31605, {1, 1, 3, 9, 5, 41, 39, 101, 339, 337, 1079, 3861, 5049, 5601, 14377, 34093}},
-{5649, 16, 31609, {1, 3, 7, 7, 3, 47, 95, 157, 167, 1011, 1117, 3669, 7993, 11735, 8505, 64713}},
-{5650, 16, 31612, {1, 3, 1, 9, 3, 33, 11, 33, 65, 329, 401, 2659, 2851, 3903, 29791, 41613}},
-{5651, 16, 31626, {1, 1, 1, 15, 15, 17, 9, 69, 359, 41, 1475, 1919, 5829, 2189, 21295, 33255}},
-{5652, 16, 31634, {1, 3, 1, 3, 9, 23, 73, 247, 399, 775, 419, 3033, 865, 12595, 16345, 15079}},
-{5653, 16, 31655, {1, 3, 1, 5, 1, 17, 33, 23, 419, 585, 673, 929, 6955, 10247, 12647, 29107}},
-{5654, 16, 31681, {1, 3, 3, 13, 9, 33, 11, 13, 127, 529, 1219, 2401, 6459, 14745, 5123, 53023}},
-{5655, 16, 31705, {1, 3, 5, 11, 23, 11, 5, 19, 281, 121, 1671, 2171, 4545, 10691, 24875, 28849}},
-{5656, 16, 31706, {1, 3, 1, 3, 13, 25, 85, 131, 127, 977, 1599, 3319, 3107, 3185, 4879, 3455}},
-{5657, 16, 31718, {1, 1, 5, 1, 3, 13, 77, 15, 133, 185, 1319, 727, 2181, 12175, 28017, 28023}},
-{5658, 16, 31735, {1, 3, 7, 5, 29, 51, 113, 203, 331, 847, 1, 3445, 3669, 7711, 13647, 58651}},
-{5659, 16, 31741, {1, 3, 1, 3, 31, 27, 35, 199, 491, 839, 1275, 3385, 4743, 821, 26259, 11345}},
-{5660, 16, 31744, {1, 1, 7, 9, 21, 47, 9, 67, 119, 985, 127, 1987, 5451, 6403, 26183, 8349}},
-{5661, 16, 31762, {1, 3, 5, 1, 19, 3, 91, 217, 301, 595, 1789, 735, 4993, 229, 18033, 59625}},
-{5662, 16, 31774, {1, 3, 3, 3, 11, 25, 103, 211, 117, 9, 773, 1521, 2265, 8277, 23179, 22433}},
-{5663, 16, 31864, {1, 1, 7, 9, 3, 27, 63, 255, 175, 699, 293, 2409, 3155, 285, 8663, 53503}},
-{5664, 16, 31874, {1, 1, 5, 7, 27, 23, 63, 213, 323, 697, 1541, 3497, 2985, 12389, 11155, 26217}},
-{5665, 16, 31900, {1, 3, 1, 3, 31, 7, 47, 207, 185, 873, 1063, 1055, 205, 12469, 23505, 56245}},
-{5666, 16, 31910, {1, 3, 7, 13, 31, 17, 47, 95, 91, 483, 1997, 3273, 445, 2601, 15219, 10997}},
-{5667, 16, 31928, {1, 3, 3, 5, 29, 45, 29, 83, 457, 823, 1395, 1411, 1879, 9409, 11609, 32001}},
-{5668, 16, 31965, {1, 3, 5, 11, 21, 11, 43, 73, 159, 137, 29, 1957, 815, 5077, 16127, 42199}},
-{5669, 16, 31976, {1, 3, 5, 13, 9, 59, 47, 215, 293, 807, 309, 1951, 2285, 9287, 1019, 49501}},
-{5670, 16, 32016, {1, 1, 7, 13, 31, 7, 95, 189, 233, 363, 1039, 1675, 1715, 9049, 8537, 31051}},
-{5671, 16, 32032, {1, 3, 7, 9, 23, 35, 125, 251, 107, 401, 1113, 3585, 6331, 2363, 27889, 28877}},
-{5672, 16, 32037, {1, 1, 7, 13, 9, 1, 13, 69, 257, 369, 547, 1595, 1823, 9553, 25653, 31181}},
-{5673, 16, 32062, {1, 1, 7, 11, 9, 43, 3, 93, 69, 1019, 1935, 3297, 47, 7101, 1037, 63473}},
-{5674, 16, 32069, {1, 1, 7, 5, 21, 9, 97, 105, 405, 893, 1673, 3783, 2965, 7329, 4549, 25433}},
-{5675, 16, 32115, {1, 1, 5, 13, 5, 17, 31, 123, 415, 173, 1333, 2245, 1557, 16011, 28321, 4039}},
-{5676, 16, 32128, {1, 1, 5, 9, 15, 3, 27, 79, 511, 39, 945, 49, 3231, 9199, 21327, 11183}},
-{5677, 16, 32171, {1, 3, 3, 9, 3, 15, 115, 141, 387, 341, 953, 399, 6109, 12037, 21079, 26745}},
-{5678, 16, 32173, {1, 3, 3, 1, 5, 5, 31, 195, 477, 755, 687, 3811, 805, 679, 20687, 46299}},
-{5679, 16, 32182, {1, 1, 7, 15, 1, 31, 67, 159, 205, 141, 1667, 3077, 451, 13161, 16211, 6887}},
-{5680, 16, 32191, {1, 3, 3, 1, 7, 43, 87, 5, 49, 205, 231, 3957, 2947, 13199, 15743, 4681}},
-{5681, 16, 32193, {1, 3, 3, 15, 25, 37, 95, 11, 439, 553, 59, 1241, 7407, 13467, 22403, 44441}},
-{5682, 16, 32194, {1, 1, 1, 3, 21, 3, 127, 239, 491, 139, 1411, 3417, 4247, 6247, 13809, 31609}},
-{5683, 16, 32229, {1, 1, 5, 1, 9, 13, 5, 155, 109, 593, 119, 4091, 1911, 8301, 4239, 50081}},
-{5684, 16, 32230, {1, 3, 5, 13, 27, 3, 99, 225, 253, 169, 801, 3741, 1905, 12073, 31831, 17997}},
-{5685, 16, 32248, {1, 3, 7, 15, 9, 23, 93, 171, 453, 983, 1657, 1133, 6381, 5229, 32303, 17439}},
-{5686, 16, 32263, {1, 1, 7, 11, 7, 5, 125, 141, 63, 763, 1293, 1007, 4579, 1479, 11977, 59261}},
-{5687, 16, 32264, {1, 3, 1, 7, 1, 15, 49, 41, 367, 639, 1933, 401, 2335, 2441, 13653, 55555}},
-{5688, 16, 32269, {1, 3, 1, 7, 15, 23, 5, 213, 45, 721, 543, 2133, 4525, 9719, 28053, 54075}},
-{5689, 16, 32298, {1, 3, 7, 3, 11, 7, 23, 35, 169, 829, 1957, 2423, 3583, 4951, 28957, 29753}},
-{5690, 16, 32335, {1, 1, 3, 3, 1, 5, 19, 235, 175, 969, 229, 2335, 7215, 10195, 7487, 64191}},
-{5691, 16, 32340, {1, 1, 7, 3, 27, 1, 73, 49, 445, 863, 69, 3555, 993, 9553, 31941, 29901}},
-{5692, 16, 32356, {1, 3, 5, 11, 9, 25, 59, 177, 23, 997, 1041, 1135, 3879, 767, 2263, 51267}},
-{5693, 16, 32374, {1, 1, 7, 3, 1, 63, 49, 51, 237, 569, 1293, 1143, 3125, 16315, 17009, 24821}},
-{5694, 16, 32390, {1, 3, 3, 15, 11, 17, 121, 25, 349, 833, 557, 1975, 5405, 15189, 31243, 53541}},
-{5695, 16, 32401, {1, 3, 7, 9, 11, 15, 39, 15, 75, 87, 55, 2069, 3291, 507, 16925, 57751}},
-{5696, 16, 32414, {1, 1, 3, 15, 1, 21, 61, 139, 357, 931, 647, 947, 2291, 15557, 6739, 5881}},
-{5697, 16, 32417, {1, 3, 1, 9, 1, 47, 73, 59, 115, 497, 733, 1777, 905, 16181, 4351, 7345}},
-{5698, 16, 32442, {1, 3, 3, 7, 5, 21, 67, 113, 71, 743, 757, 1851, 7899, 10315, 15437, 61803}},
-{5699, 16, 32450, {1, 3, 7, 1, 9, 23, 77, 131, 395, 767, 1229, 2629, 5731, 11907, 32217, 18473}},
-{5700, 16, 32461, {1, 3, 5, 15, 1, 23, 123, 207, 291, 565, 1211, 501, 2111, 11381, 5171, 54841}},
-{5701, 16, 32473, {1, 1, 1, 15, 21, 13, 3, 175, 405, 109, 1353, 2495, 7619, 14971, 28179, 34737}},
-{5702, 16, 32479, {1, 3, 5, 3, 17, 25, 53, 71, 229, 729, 1953, 3119, 7747, 1551, 23417, 35563}},
-{5703, 16, 32530, {1, 1, 7, 7, 11, 31, 81, 43, 149, 537, 1253, 2759, 431, 4813, 8375, 46329}},
-{5704, 16, 32536, {1, 1, 1, 5, 11, 27, 61, 199, 239, 889, 723, 2353, 5663, 7385, 28165, 14675}},
-{5705, 16, 32548, {1, 3, 1, 7, 3, 3, 83, 247, 247, 57, 579, 1163, 2615, 4051, 2809, 46413}},
-{5706, 16, 32577, {1, 1, 3, 11, 13, 47, 11, 235, 475, 35, 843, 2329, 3519, 8899, 14533, 24889}},
-{5707, 16, 32628, {1, 3, 1, 1, 7, 31, 15, 101, 327, 499, 471, 1001, 339, 11863, 24787, 47191}},
-{5708, 16, 32642, {1, 1, 7, 1, 3, 55, 93, 43, 11, 65, 289, 1249, 5325, 13867, 29841, 34333}},
-{5709, 16, 32665, {1, 3, 3, 1, 25, 61, 87, 113, 115, 265, 1007, 1129, 7633, 6109, 5733, 22649}},
-{5710, 16, 32666, {1, 3, 1, 11, 31, 59, 127, 83, 33, 419, 1037, 3777, 6383, 2711, 2113, 17233}},
-{5711, 16, 32668, {1, 1, 5, 13, 11, 17, 73, 41, 257, 223, 359, 3821, 4617, 1943, 11331, 40153}},
-{5712, 16, 32696, {1, 1, 1, 1, 9, 25, 43, 179, 17, 1021, 1323, 761, 5861, 11547, 26017, 5165}},
-{5713, 16, 32722, {1, 3, 5, 3, 29, 21, 53, 111, 213, 717, 1101, 3215, 3021, 16343, 23387, 33439}},
-{5714, 16, 32757, {1, 3, 5, 13, 29, 11, 21, 89, 107, 111, 1121, 2785, 3493, 9873, 13, 40863}},
-{5715, 16, 32758, {1, 1, 5, 13, 15, 15, 111, 219, 59, 43, 333, 3581, 1311, 2799, 23987, 21637}},
-{5716, 17, 4, {1, 3, 1, 11, 21, 57, 115, 247, 499, 525, 1629, 3679, 2109, 6607, 27435, 1745, 71201}},
-{5717, 17, 7, {1, 3, 3, 3, 31, 17, 113, 165, 189, 361, 103, 1775, 3001, 3865, 30591, 2873, 17129}},
-{5718, 17, 16, {1, 1, 5, 5, 15, 47, 47, 85, 247, 471, 713, 3571, 2407, 9811, 8187, 32133, 8541}},
-{5719, 17, 22, {1, 3, 3, 1, 15, 1, 59, 151, 469, 351, 671, 2925, 7207, 5061, 28691, 4363, 50767}},
-{5720, 17, 25, {1, 1, 5, 7, 11, 35, 67, 45, 193, 3, 627, 3333, 6497, 12307, 28807, 13997, 108645}},
-{5721, 17, 31, {1, 3, 1, 1, 17, 63, 125, 185, 485, 759, 717, 1993, 6707, 3993, 2181, 8173, 18057}},
-{5722, 17, 32, {1, 1, 3, 13, 7, 15, 113, 207, 103, 191, 1895, 2595, 3873, 12021, 19259, 12553, 119119}},
-{5723, 17, 42, {1, 3, 7, 1, 17, 11, 101, 209, 315, 9, 901, 2303, 7623, 7459, 26391, 45143, 5753}},
-{5724, 17, 52, {1, 1, 5, 15, 1, 5, 71, 155, 167, 89, 145, 3483, 2385, 15205, 9193, 20637, 58473}},
-{5725, 17, 61, {1, 1, 5, 7, 25, 55, 57, 51, 333, 299, 1721, 1667, 6513, 10191, 29405, 21923, 76593}},
-{5726, 17, 70, {1, 1, 5, 1, 7, 37, 107, 91, 241, 137, 627, 2749, 5573, 11243, 26197, 4545, 105599}},
-{5727, 17, 76, {1, 3, 1, 5, 25, 37, 73, 61, 57, 249, 1953, 1385, 6479, 3701, 10693, 617, 62535}},
-{5728, 17, 81, {1, 1, 1, 15, 5, 63, 41, 151, 395, 681, 227, 3027, 8123, 15091, 15475, 35671, 21129}},
-{5729, 17, 87, {1, 3, 5, 11, 29, 21, 15, 233, 103, 463, 1829, 2257, 1717, 2249, 9599, 5097, 55705}},
-{5730, 17, 93, {1, 3, 5, 1, 29, 3, 35, 151, 193, 105, 1107, 827, 7169, 1843, 15225, 29025, 43165}},
-{5731, 17, 98, {1, 1, 7, 15, 17, 51, 93, 199, 205, 41, 113, 1081, 1571, 11471, 11057, 16149, 66905}},
-{5732, 17, 122, {1, 1, 3, 11, 5, 25, 107, 195, 51, 675, 1683, 3739, 1653, 611, 23249, 53157, 127785}},
-{5733, 17, 133, {1, 1, 7, 5, 7, 3, 25, 145, 453, 735, 441, 77, 8171, 9281, 22749, 36973, 106237}},
-{5734, 17, 134, {1, 1, 3, 13, 13, 5, 95, 33, 223, 369, 453, 2031, 3531, 6931, 8977, 54109, 115487}},
-{5735, 17, 140, {1, 1, 7, 7, 1, 61, 33, 183, 245, 623, 529, 1831, 1867, 2845, 8311, 10143, 67897}},
-{5736, 17, 146, {1, 3, 7, 11, 27, 23, 93, 9, 61, 451, 67, 1695, 4227, 2415, 19249, 44765, 24611}},
-{5737, 17, 158, {1, 3, 3, 11, 29, 57, 65, 117, 349, 149, 363, 1095, 4989, 3071, 17519, 18079, 7277}},
-{5738, 17, 171, {1, 3, 5, 9, 1, 7, 59, 87, 307, 111, 1291, 789, 7361, 6477, 11229, 36785, 33303}},
-{5739, 17, 176, {1, 3, 5, 1, 19, 47, 53, 81, 127, 849, 1479, 1459, 1889, 15087, 22115, 20587, 121005}},
-{5740, 17, 179, {1, 1, 7, 15, 31, 31, 71, 55, 253, 927, 277, 2087, 1313, 3721, 22729, 34709, 9821}},
-{5741, 17, 182, {1, 3, 5, 13, 13, 63, 73, 41, 165, 315, 1907, 2005, 691, 725, 22685, 8673, 76011}},
-{5742, 17, 191, {1, 1, 5, 9, 23, 61, 47, 167, 279, 683, 683, 1261, 4037, 15251, 9421, 45359, 38001}},
-{5743, 17, 193, {1, 1, 7, 3, 17, 33, 69, 139, 235, 709, 1475, 2483, 7559, 8581, 23965, 31153, 5097}},
-{5744, 17, 224, {1, 1, 7, 15, 23, 61, 43, 5, 433, 531, 761, 2749, 2881, 5225, 13491, 16479, 50203}},
-{5745, 17, 227, {1, 1, 3, 9, 29, 7, 9, 23, 339, 315, 1723, 779, 2983, 6571, 16025, 63055, 111103}},
-{5746, 17, 229, {1, 1, 7, 13, 23, 55, 71, 121, 297, 193, 41, 3165, 4419, 5853, 28127, 56151, 16597}},
-{5747, 17, 236, {1, 1, 5, 7, 7, 23, 93, 11, 261, 297, 1769, 1239, 2579, 531, 4423, 7891, 21729}},
-{5748, 17, 248, {1, 3, 5, 1, 13, 35, 83, 85, 125, 887, 161, 3311, 7261, 9557, 28975, 28643, 21479}},
-{5749, 17, 262, {1, 3, 5, 3, 27, 5, 47, 175, 287, 867, 141, 3079, 7583, 4997, 18271, 24097, 96319}},
-{5750, 17, 273, {1, 3, 5, 1, 21, 51, 47, 67, 211, 281, 1861, 1169, 6403, 4229, 3995, 9921, 41515}},
-{5751, 17, 276, {1, 3, 3, 11, 23, 23, 81, 55, 441, 211, 169, 3197, 7213, 7205, 15, 11771, 129091}},
-{5752, 17, 280, {1, 3, 7, 3, 23, 39, 23, 163, 253, 1005, 1775, 3393, 7659, 8065, 30021, 61065, 35171}},
-{5753, 17, 283, {1, 3, 1, 1, 29, 29, 39, 143, 191, 711, 1077, 13, 4137, 15425, 11139, 1269, 71915}},
-{5754, 17, 290, {1, 3, 3, 5, 11, 41, 101, 127, 301, 335, 45, 2065, 5835, 7801, 2639, 5735, 63445}},
-{5755, 17, 309, {1, 3, 5, 9, 3, 39, 51, 53, 489, 663, 951, 3931, 3075, 753, 22179, 20573, 10775}},
-{5756, 17, 316, {1, 3, 3, 15, 13, 31, 1, 237, 79, 587, 395, 591, 607, 13105, 21301, 26829, 112181}},
-{5757, 17, 319, {1, 1, 7, 7, 5, 55, 31, 117, 247, 229, 247, 307, 3821, 6483, 31317, 22975, 40535}},
-{5758, 17, 321, {1, 3, 7, 15, 15, 59, 101, 17, 437, 373, 1727, 471, 2783, 7825, 24555, 58765, 5097}},
-{5759, 17, 328, {1, 1, 3, 9, 31, 27, 71, 147, 71, 871, 793, 2363, 3213, 13383, 29801, 53187, 70021}},
-{5760, 17, 346, {1, 3, 1, 1, 19, 47, 121, 61, 303, 565, 1371, 3703, 2201, 6835, 26041, 56039, 80227}},
-{5761, 17, 355, {1, 1, 5, 5, 3, 45, 91, 61, 257, 947, 1449, 4031, 4925, 8627, 11909, 9529, 3429}},
-{5762, 17, 367, {1, 1, 1, 7, 9, 63, 69, 233, 141, 361, 1443, 2157, 2877, 643, 2779, 8109, 126911}},
-{5763, 17, 369, {1, 1, 5, 1, 5, 3, 67, 157, 21, 1, 361, 35, 1475, 12877, 22169, 6653, 85005}},
-{5764, 17, 372, {1, 1, 7, 9, 25, 1, 7, 175, 47, 963, 405, 3955, 3905, 8429, 8483, 62037, 11323}},
-{5765, 17, 382, {1, 1, 5, 11, 29, 23, 77, 211, 319, 745, 1935, 2429, 1687, 2173, 1571, 19457, 117777}},
-{5766, 17, 388, {1, 1, 7, 5, 15, 57, 121, 189, 303, 79, 527, 1801, 71, 9857, 14197, 59007, 75341}},
-{5767, 17, 392, {1, 3, 3, 5, 25, 3, 19, 141, 155, 157, 287, 769, 5789, 8443, 31823, 1019, 79111}},
-{5768, 17, 395, {1, 1, 5, 11, 27, 27, 117, 141, 355, 1023, 869, 995, 6311, 6573, 11721, 1565, 35517}},
-{5769, 17, 397, {1, 1, 1, 9, 1, 33, 107, 51, 41, 889, 1191, 1055, 503, 14779, 6641, 58117, 74157}},
-{5770, 17, 403, {1, 1, 7, 5, 13, 39, 39, 33, 293, 75, 963, 3379, 1847, 12371, 9005, 38107, 69753}},
-{5771, 17, 409, {1, 1, 5, 5, 7, 37, 19, 241, 427, 635, 1711, 3835, 773, 10525, 17207, 1675, 127255}},
-{5772, 17, 410, {1, 1, 3, 7, 17, 19, 11, 113, 191, 947, 1133, 3173, 213, 10125, 1373, 56797, 111011}},
-{5773, 17, 425, {1, 3, 1, 1, 29, 45, 65, 237, 223, 695, 697, 3197, 6887, 8079, 22099, 12079, 54847}},
-{5774, 17, 443, {1, 3, 3, 7, 5, 47, 19, 215, 341, 863, 1879, 571, 7113, 2465, 23407, 52555, 44375}},
-{5775, 17, 472, {1, 3, 5, 11, 25, 31, 109, 73, 429, 553, 1905, 1753, 6733, 4433, 13785, 32041, 27115}},
-{5776, 17, 475, {1, 1, 1, 3, 27, 5, 97, 47, 343, 977, 1241, 721, 3355, 3559, 28349, 56389, 63103}},
-{5777, 17, 481, {1, 3, 3, 9, 21, 53, 57, 211, 73, 155, 1855, 715, 3179, 5963, 10061, 35141, 63131}},
-{5778, 17, 488, {1, 3, 1, 15, 21, 25, 51, 73, 31, 25, 1385, 637, 6585, 49, 2105, 6829, 9353}},
-{5779, 17, 493, {1, 1, 7, 5, 11, 55, 31, 69, 145, 637, 1131, 2175, 3547, 13031, 2131, 12361, 74737}},
-{5780, 17, 501, {1, 3, 3, 5, 31, 7, 119, 119, 309, 925, 895, 3813, 1131, 4765, 17865, 48707, 113577}},
-{5781, 17, 515, {1, 3, 3, 9, 13, 33, 127, 177, 323, 727, 1881, 775, 7329, 11881, 28309, 987, 116093}},
-{5782, 17, 522, {1, 1, 3, 5, 31, 55, 39, 41, 511, 157, 1655, 2991, 3633, 8521, 27049, 18771, 54015}},
-{5783, 17, 524, {1, 3, 5, 13, 11, 45, 113, 185, 375, 661, 1331, 4013, 5521, 1037, 23365, 30239, 76957}},
-{5784, 17, 527, {1, 3, 3, 7, 19, 7, 23, 17, 435, 913, 1985, 353, 6049, 7549, 3371, 60867, 41099}},
-{5785, 17, 535, {1, 3, 3, 15, 17, 9, 53, 127, 149, 849, 1181, 2237, 1345, 539, 19715, 26277, 125445}},
-{5786, 17, 542, {1, 1, 1, 3, 1, 9, 67, 79, 79, 795, 1793, 3167, 5917, 5323, 22043, 22007, 3917}},
-{5787, 17, 545, {1, 3, 5, 9, 15, 19, 59, 37, 141, 145, 413, 1095, 7709, 669, 27061, 40171, 101499}},
-{5788, 17, 555, {1, 3, 1, 1, 9, 49, 109, 7, 119, 861, 875, 1049, 4125, 6113, 15699, 6105, 48799}},
-{5789, 17, 558, {1, 1, 3, 9, 11, 29, 43, 175, 371, 357, 1181, 3933, 43, 4559, 10333, 23603, 83095}},
-{5790, 17, 560, {1, 3, 3, 9, 9, 7, 57, 61, 409, 143, 591, 761, 4107, 8117, 1051, 4471, 91771}},
-{5791, 17, 563, {1, 1, 3, 11, 3, 53, 119, 21, 213, 219, 51, 3491, 7143, 937, 24693, 3211, 99463}},
-{5792, 17, 570, {1, 1, 3, 3, 1, 47, 53, 153, 211, 523, 1637, 3351, 3753, 12489, 31825, 27613, 96431}},
-{5793, 17, 578, {1, 1, 5, 15, 23, 57, 81, 231, 147, 9, 1043, 3157, 1463, 4835, 22435, 57407, 59615}},
-{5794, 17, 583, {1, 3, 3, 13, 15, 63, 111, 5, 449, 957, 1175, 2887, 7741, 8975, 28775, 4067, 69283}},
-{5795, 17, 590, {1, 3, 1, 1, 5, 61, 109, 211, 349, 179, 951, 153, 3147, 7555, 27037, 59829, 16077}},
-{5796, 17, 597, {1, 3, 3, 7, 15, 33, 53, 61, 309, 991, 227, 3437, 3983, 14559, 13065, 46387, 49105}},
-{5797, 17, 604, {1, 3, 5, 3, 25, 23, 97, 139, 315, 601, 1179, 1083, 6799, 1813, 15511, 60433, 65641}},
-{5798, 17, 608, {1, 1, 7, 1, 11, 43, 87, 87, 173, 161, 91, 3011, 1869, 2313, 13691, 3509, 39433}},
-{5799, 17, 614, {1, 3, 5, 7, 15, 5, 39, 251, 269, 819, 815, 2283, 5635, 6953, 27017, 65143, 45281}},
-{5800, 17, 635, {1, 3, 7, 9, 1, 37, 9, 57, 467, 37, 1743, 4031, 3751, 8105, 23789, 46847, 21911}},
-{5801, 17, 637, {1, 1, 7, 1, 23, 47, 63, 99, 59, 951, 1837, 2829, 161, 857, 4045, 9945, 53487}},
-{5802, 17, 653, {1, 3, 7, 7, 11, 47, 43, 99, 279, 945, 1189, 2091, 4597, 183, 15527, 7151, 112403}},
-{5803, 17, 654, {1, 3, 3, 15, 9, 53, 63, 135, 119, 95, 131, 2461, 157, 10631, 20847, 51699, 58865}},
-{5804, 17, 659, {1, 1, 3, 1, 25, 3, 115, 29, 303, 361, 1529, 3993, 5899, 11501, 4463, 47121, 75333}},
-{5805, 17, 666, {1, 3, 1, 15, 9, 39, 31, 199, 305, 279, 15, 611, 561, 6593, 3189, 1863, 61875}},
-{5806, 17, 671, {1, 3, 5, 15, 5, 49, 87, 17, 87, 5, 1179, 1351, 7647, 7529, 15901, 30351, 31959}},
-{5807, 17, 689, {1, 3, 3, 9, 31, 57, 127, 239, 349, 773, 547, 2649, 1309, 8071, 10741, 57645, 14423}},
-{5808, 17, 690, {1, 1, 5, 9, 5, 15, 59, 185, 315, 411, 1425, 3905, 853, 12393, 21, 15195, 114291}},
-{5809, 17, 695, {1, 3, 1, 5, 29, 47, 19, 203, 319, 673, 1169, 2413, 5295, 6251, 19883, 2725, 28937}},
-{5810, 17, 713, {1, 3, 1, 5, 21, 55, 19, 185, 103, 827, 117, 341, 3315, 5625, 345, 63845, 49081}},
-{5811, 17, 722, {1, 1, 7, 9, 27, 51, 105, 15, 243, 735, 1221, 1641, 293, 14423, 5363, 60873, 66223}},
-{5812, 17, 733, {1, 1, 5, 1, 19, 5, 109, 131, 131, 67, 231, 2907, 4389, 5079, 20503, 59045, 33625}},
-{5813, 17, 758, {1, 3, 1, 5, 5, 15, 79, 67, 287, 225, 519, 1543, 2389, 671, 7767, 62625, 61639}},
-{5814, 17, 770, {1, 1, 1, 9, 25, 35, 83, 15, 291, 207, 1757, 3691, 5669, 11255, 27939, 57813, 46251}},
-{5815, 17, 782, {1, 3, 1, 1, 29, 3, 83, 109, 323, 179, 1855, 3205, 7665, 16201, 13863, 16347, 98977}},
-{5816, 17, 784, {1, 3, 1, 13, 17, 1, 101, 183, 153, 985, 125, 999, 855, 15897, 19491, 8953, 23277}},
-{5817, 17, 793, {1, 1, 7, 11, 9, 33, 45, 229, 411, 155, 537, 3037, 1785, 11719, 8589, 16617, 47339}},
-{5818, 17, 803, {1, 1, 5, 5, 9, 11, 7, 163, 305, 621, 1647, 2609, 7901, 14421, 23447, 1205, 52681}},
-{5819, 17, 805, {1, 3, 3, 1, 7, 29, 39, 227, 419, 561, 129, 3299, 3123, 4243, 18689, 12335, 71783}},
-{5820, 17, 812, {1, 3, 1, 9, 11, 61, 65, 207, 123, 763, 485, 1943, 3617, 415, 22397, 58597, 128017}},
-{5821, 17, 838, {1, 1, 5, 13, 25, 43, 115, 73, 269, 137, 1765, 705, 1705, 16137, 22751, 60021, 4333}},
-{5822, 17, 849, {1, 1, 5, 13, 3, 57, 9, 141, 75, 695, 597, 3435, 1085, 4905, 19625, 16061, 12111}},
-{5823, 17, 875, {1, 1, 5, 9, 29, 13, 119, 251, 353, 421, 1955, 3503, 2605, 2587, 12503, 46419, 128815}},
-{5824, 17, 877, {1, 3, 5, 7, 7, 29, 67, 25, 37, 327, 1607, 1899, 1691, 5801, 17441, 9755, 24993}},
-{5825, 17, 880, {1, 1, 3, 11, 17, 29, 121, 201, 371, 597, 213, 2361, 6615, 169, 24801, 56175, 129241}},
-{5826, 17, 892, {1, 3, 5, 1, 31, 63, 85, 77, 151, 599, 103, 677, 4431, 12897, 6373, 40349, 100819}},
-{5827, 17, 895, {1, 3, 5, 9, 25, 9, 119, 219, 379, 939, 1907, 945, 5819, 7433, 32519, 56493, 50441}},
-{5828, 17, 899, {1, 1, 3, 9, 13, 1, 63, 189, 135, 839, 1821, 2247, 2547, 965, 6847, 63335, 32921}},
-{5829, 17, 919, {1, 3, 5, 13, 21, 25, 111, 37, 319, 469, 1999, 1637, 8167, 2641, 24615, 63713, 115923}},
-{5830, 17, 920, {1, 3, 5, 9, 9, 27, 1, 63, 275, 223, 1675, 3833, 7377, 9755, 6279, 37161, 108805}},
-{5831, 17, 932, {1, 3, 3, 13, 29, 23, 21, 73, 401, 863, 701, 2527, 4557, 5549, 22493, 6651, 39167}},
-{5832, 17, 935, {1, 1, 3, 15, 25, 21, 97, 25, 83, 925, 2029, 3789, 3241, 7617, 13699, 31123, 124619}},
-{5833, 17, 936, {1, 3, 7, 5, 23, 7, 95, 227, 123, 215, 359, 2099, 4505, 8477, 32665, 18211, 99679}},
-{5834, 17, 941, {1, 3, 1, 9, 11, 57, 75, 17, 105, 175, 831, 1033, 5425, 8419, 16163, 23901, 33889}},
-{5835, 17, 950, {1, 1, 7, 1, 17, 49, 71, 23, 129, 413, 333, 2547, 4627, 14961, 16745, 53649, 73059}},
-{5836, 17, 961, {1, 3, 5, 3, 13, 33, 121, 147, 443, 187, 1949, 319, 8141, 14359, 11203, 53569, 70415}},
-{5837, 17, 962, {1, 3, 1, 11, 15, 1, 23, 29, 509, 985, 1217, 3755, 385, 3697, 24631, 37619, 62435}},
-{5838, 17, 971, {1, 3, 3, 3, 17, 11, 107, 37, 227, 913, 259, 2799, 3249, 2347, 9703, 52741, 101187}},
-{5839, 17, 982, {1, 1, 5, 13, 25, 25, 47, 77, 405, 415, 1947, 1675, 5079, 1333, 10059, 32033, 88975}},
-{5840, 17, 986, {1, 3, 5, 9, 27, 7, 19, 241, 445, 205, 333, 285, 7997, 6339, 29643, 10229, 29965}},
-{5841, 17, 1012, {1, 3, 5, 11, 17, 9, 91, 223, 173, 1013, 779, 3967, 781, 5471, 4309, 24795, 99203}},
-{5842, 17, 1021, {1, 1, 1, 3, 19, 53, 7, 159, 351, 515, 223, 3375, 1, 4985, 16729, 43333, 85917}},
-{5843, 17, 1024, {1, 3, 3, 1, 19, 35, 95, 69, 19, 157, 1177, 579, 7109, 3499, 3219, 26641, 49491}},
-{5844, 17, 1029, {1, 3, 3, 5, 25, 21, 125, 5, 39, 857, 615, 2925, 2005, 5503, 25523, 36711, 30939}},
-{5845, 17, 1030, {1, 3, 1, 5, 11, 33, 29, 5, 425, 125, 939, 1641, 321, 1023, 12551, 4587, 116617}},
-{5846, 17, 1051, {1, 3, 3, 13, 9, 59, 93, 137, 103, 517, 1555, 13, 7965, 13629, 14339, 37425, 65891}},
-{5847, 17, 1054, {1, 3, 7, 1, 31, 31, 87, 237, 365, 951, 267, 2019, 5085, 6133, 29371, 50319, 94313}},
-{5848, 17, 1064, {1, 3, 5, 7, 17, 19, 23, 225, 501, 189, 1291, 603, 6873, 8633, 11425, 30565, 26355}},
-{5849, 17, 1067, {1, 3, 7, 11, 23, 17, 91, 111, 415, 225, 1287, 2081, 4683, 12069, 3627, 32281, 17995}},
-{5850, 17, 1082, {1, 1, 5, 15, 25, 59, 75, 203, 179, 405, 1711, 3147, 7483, 5583, 3729, 11765, 61019}},
-{5851, 17, 1096, {1, 3, 3, 9, 3, 43, 65, 7, 269, 33, 829, 1789, 967, 13119, 26329, 16937, 18533}},
-{5852, 17, 1116, {1, 1, 3, 15, 11, 39, 73, 11, 31, 143, 1913, 1227, 1363, 11831, 28687, 50489, 106373}},
-{5853, 17, 1119, {1, 1, 3, 3, 25, 19, 15, 11, 349, 1011, 421, 3193, 3665, 6149, 20729, 6997, 51437}},
-{5854, 17, 1129, {1, 3, 5, 9, 13, 63, 73, 55, 417, 223, 1753, 2913, 4809, 3947, 10769, 5751, 93867}},
-{5855, 17, 1130, {1, 3, 7, 13, 31, 39, 39, 133, 483, 839, 1137, 3303, 7285, 4309, 24079, 60529, 103337}},
-{5856, 17, 1132, {1, 1, 3, 7, 1, 55, 3, 253, 435, 589, 1949, 1461, 513, 381, 29455, 4263, 16831}},
-{5857, 17, 1137, {1, 1, 1, 15, 25, 19, 77, 101, 299, 187, 1021, 1533, 8021, 4165, 2277, 18927, 110439}},
-{5858, 17, 1147, {1, 1, 1, 11, 9, 35, 71, 159, 409, 527, 15, 4073, 5749, 8563, 2503, 53015, 111581}},
-{5859, 17, 1150, {1, 1, 7, 5, 21, 47, 113, 23, 477, 559, 543, 409, 4701, 11479, 30761, 8373, 87777}},
-{5860, 17, 1154, {1, 3, 5, 13, 9, 27, 25, 137, 81, 37, 799, 857, 3539, 4471, 15753, 59015, 48589}},
-{5861, 17, 1165, {1, 1, 3, 7, 11, 57, 103, 83, 209, 71, 193, 3251, 4839, 13959, 32009, 6471, 23631}},
-{5862, 17, 1166, {1, 1, 7, 11, 25, 33, 85, 31, 371, 253, 1667, 1627, 6159, 10039, 15177, 52121, 39475}},
-{5863, 17, 1174, {1, 1, 5, 9, 13, 55, 37, 13, 95, 113, 1895, 1525, 1907, 6361, 5863, 27767, 108143}},
-{5864, 17, 1177, {1, 1, 3, 13, 21, 5, 53, 39, 485, 171, 1355, 2117, 3127, 6467, 31697, 45343, 111477}},
-{5865, 17, 1184, {1, 1, 7, 15, 13, 57, 11, 231, 329, 703, 1823, 2983, 215, 2835, 19719, 56637, 126169}},
-{5866, 17, 1194, {1, 3, 5, 15, 13, 51, 13, 173, 301, 867, 127, 2391, 2795, 4945, 13293, 49947, 10765}},
-{5867, 17, 1204, {1, 3, 3, 9, 23, 5, 29, 165, 467, 599, 1181, 3213, 4069, 5473, 8937, 51495, 42611}},
-{5868, 17, 1208, {1, 1, 7, 15, 5, 5, 31, 125, 397, 519, 1465, 115, 7877, 7025, 14213, 50343, 85827}},
-{5869, 17, 1213, {1, 3, 7, 3, 25, 59, 95, 103, 101, 347, 95, 3, 1251, 15109, 12615, 7511, 56789}},
-{5870, 17, 1219, {1, 3, 5, 9, 13, 59, 71, 19, 107, 73, 345, 3177, 6519, 2407, 18033, 31075, 113185}},
-{5871, 17, 1233, {1, 1, 1, 3, 27, 37, 5, 219, 169, 149, 355, 549, 1811, 11351, 22627, 53931, 88619}},
-{5872, 17, 1264, {1, 3, 1, 3, 27, 7, 9, 97, 399, 947, 1393, 3917, 5439, 15845, 19465, 30123, 69099}},
-{5873, 17, 1267, {1, 1, 7, 9, 13, 25, 107, 45, 111, 409, 967, 3359, 2499, 1703, 20763, 45187, 16265}},
-{5874, 17, 1281, {1, 1, 1, 13, 5, 49, 43, 249, 49, 947, 597, 1773, 2387, 2693, 15297, 57969, 53385}},
-{5875, 17, 1312, {1, 1, 7, 15, 27, 25, 27, 121, 421, 781, 143, 817, 7335, 14211, 139, 55601, 56671}},
-{5876, 17, 1321, {1, 3, 1, 5, 29, 47, 77, 23, 413, 931, 785, 1221, 769, 13131, 26955, 56441, 85745}},
-{5877, 17, 1330, {1, 1, 1, 11, 27, 3, 53, 21, 467, 43, 1533, 1053, 691, 6369, 8325, 51087, 71261}},
-{5878, 17, 1332, {1, 1, 3, 15, 7, 9, 43, 225, 293, 143, 1049, 3095, 6119, 3165, 9913, 26023, 62657}},
-{5879, 17, 1335, {1, 3, 7, 9, 11, 39, 99, 193, 217, 941, 259, 3811, 6757, 281, 10377, 46961, 48949}},
-{5880, 17, 1341, {1, 1, 1, 1, 25, 1, 99, 61, 495, 861, 2013, 487, 2821, 12921, 30111, 27213, 97363}},
-{5881, 17, 1356, {1, 1, 5, 9, 23, 33, 103, 237, 161, 721, 2021, 159, 995, 475, 20615, 30961, 31767}},
-{5882, 17, 1371, {1, 3, 1, 1, 5, 59, 63, 139, 451, 789, 1285, 655, 5501, 273, 21061, 35937, 20811}},
-{5883, 17, 1377, {1, 3, 3, 9, 9, 15, 121, 233, 287, 929, 1605, 1243, 417, 1695, 29903, 28699, 85981}},
-{5884, 17, 1380, {1, 3, 3, 5, 7, 25, 27, 253, 469, 255, 285, 2467, 4897, 4079, 29759, 50351, 76451}},
-{5885, 17, 1384, {1, 1, 3, 3, 5, 33, 29, 209, 291, 967, 1429, 1953, 5957, 14065, 8875, 32675, 4629}},
-{5886, 17, 1395, {1, 3, 5, 9, 7, 31, 97, 21, 177, 485, 1115, 4051, 6683, 7761, 30181, 37531, 51789}},
-{5887, 17, 1397, {1, 1, 7, 3, 25, 51, 23, 183, 57, 699, 1245, 2519, 2783, 4457, 6381, 43199, 40071}},
-{5888, 17, 1411, {1, 3, 5, 5, 19, 55, 45, 101, 299, 461, 1009, 319, 7335, 7769, 5479, 61113, 7937}},
-{5889, 17, 1414, {1, 1, 7, 3, 29, 21, 55, 55, 437, 771, 363, 683, 4299, 15569, 13813, 40663, 86285}},
-{5890, 17, 1426, {1, 1, 1, 13, 31, 35, 93, 175, 451, 387, 1145, 3367, 3833, 13495, 11019, 48925, 85721}},
-{5891, 17, 1432, {1, 1, 7, 15, 31, 21, 55, 205, 117, 895, 535, 2627, 1473, 10779, 24493, 42999, 130805}},
-{5892, 17, 1435, {1, 1, 3, 13, 27, 11, 45, 37, 193, 237, 1505, 1405, 3613, 9565, 3037, 53643, 85211}},
-{5893, 17, 1437, {1, 1, 3, 13, 9, 17, 19, 27, 117, 503, 65, 1033, 7891, 4005, 9229, 20999, 96601}},
-{5894, 17, 1442, {1, 3, 3, 5, 17, 3, 71, 79, 145, 985, 935, 3997, 6239, 12511, 13895, 65031, 126383}},
-{5895, 17, 1454, {1, 1, 5, 1, 23, 55, 3, 105, 71, 243, 1479, 111, 7103, 10753, 26193, 35833, 14583}},
-{5896, 17, 1468, {1, 3, 3, 3, 15, 3, 73, 125, 267, 29, 1775, 1437, 8091, 10891, 25731, 54381, 12821}},
-{5897, 17, 1473, {1, 1, 1, 3, 23, 15, 67, 123, 401, 347, 807, 1097, 31, 11209, 8727, 58149, 129099}},
-{5898, 17, 1488, {1, 3, 3, 7, 7, 61, 49, 129, 423, 535, 135, 3587, 233, 4509, 23209, 59203, 41297}},
-{5899, 17, 1491, {1, 3, 1, 7, 5, 29, 65, 31, 335, 855, 835, 1421, 3081, 14219, 16321, 48269, 41603}},
-{5900, 17, 1509, {1, 1, 1, 13, 3, 21, 5, 117, 163, 603, 1519, 3789, 7873, 10981, 4615, 9165, 83929}},
-{5901, 17, 1524, {1, 3, 5, 11, 15, 21, 75, 151, 193, 757, 647, 1603, 333, 10515, 22771, 55459, 3315}},
-{5902, 17, 1533, {1, 1, 7, 1, 27, 3, 63, 197, 271, 175, 1599, 2119, 1031, 8671, 10893, 35641, 94535}},
-{5903, 17, 1555, {1, 1, 1, 15, 1, 59, 93, 17, 5, 213, 1663, 941, 435, 8107, 1963, 34951, 106181}},
-{5904, 17, 1567, {1, 1, 5, 11, 13, 35, 111, 97, 267, 737, 2023, 1301, 7407, 11249, 31785, 31933, 20673}},
-{5905, 17, 1571, {1, 3, 3, 15, 5, 15, 29, 63, 189, 687, 27, 2005, 7129, 11377, 23175, 42389, 30933}},
-{5906, 17, 1586, {1, 1, 1, 9, 13, 63, 7, 155, 67, 291, 1419, 755, 2623, 4749, 22971, 7545, 55711}},
-{5907, 17, 1592, {1, 3, 7, 7, 23, 29, 83, 151, 213, 201, 157, 3051, 6553, 6401, 15931, 47941, 22869}},
-{5908, 17, 1595, {1, 3, 5, 5, 7, 45, 33, 155, 225, 25, 49, 2419, 4241, 6835, 11401, 50725, 118343}},
-{5909, 17, 1600, {1, 1, 3, 13, 31, 27, 37, 41, 19, 375, 1771, 1789, 2313, 2577, 12615, 22715, 22179}},
-{5910, 17, 1606, {1, 3, 1, 11, 17, 53, 55, 229, 235, 837, 143, 3583, 2789, 5471, 6515, 44565, 8619}},
-{5911, 17, 1627, {1, 1, 5, 15, 5, 17, 23, 95, 217, 551, 353, 27, 3973, 2547, 27903, 50611, 72277}},
-{5912, 17, 1648, {1, 1, 3, 7, 5, 13, 41, 111, 157, 215, 1327, 3073, 1871, 11875, 24239, 40527, 97637}},
-{5913, 17, 1651, {1, 3, 1, 1, 29, 63, 111, 187, 369, 395, 1197, 3229, 4353, 14715, 29671, 50503, 89321}},
-{5914, 17, 1654, {1, 3, 1, 1, 5, 63, 11, 39, 171, 209, 463, 3421, 3451, 4453, 14397, 2219, 98261}},
-{5915, 17, 1667, {1, 3, 3, 5, 1, 1, 13, 101, 67, 815, 1521, 1543, 7221, 7337, 10765, 30029, 47881}},
-{5916, 17, 1669, {1, 1, 5, 7, 9, 9, 33, 197, 439, 893, 961, 11, 4319, 14265, 24839, 33581, 35531}},
-{5917, 17, 1674, {1, 3, 3, 15, 29, 35, 43, 229, 313, 369, 955, 1069, 2939, 12623, 20373, 1533, 9105}},
-{5918, 17, 1687, {1, 3, 1, 7, 21, 7, 127, 243, 103, 353, 859, 3789, 4369, 12063, 22369, 14531, 94289}},
-{5919, 17, 1698, {1, 3, 5, 15, 1, 27, 65, 127, 229, 99, 627, 2693, 7173, 7305, 29971, 7097, 10113}},
-{5920, 17, 1710, {1, 1, 5, 15, 3, 47, 61, 29, 155, 725, 1727, 2667, 7003, 16277, 21983, 21365, 129365}},
-{5921, 17, 1717, {1, 1, 5, 7, 27, 61, 115, 133, 137, 661, 1201, 2151, 367, 3567, 12885, 62143, 53955}},
-{5922, 17, 1722, {1, 1, 1, 11, 9, 41, 113, 103, 469, 687, 1541, 3679, 6833, 10493, 32747, 39909, 121445}},
-{5923, 17, 1735, {1, 1, 7, 5, 5, 5, 91, 91, 5, 405, 529, 3999, 6783, 2387, 16621, 12919, 8659}},
-{5924, 17, 1741, {1, 1, 7, 13, 21, 47, 125, 155, 83, 913, 1833, 4027, 6657, 7031, 31231, 58201, 88943}},
-{5925, 17, 1749, {1, 3, 7, 3, 17, 55, 25, 29, 181, 205, 1173, 1081, 6475, 5037, 18461, 22487, 114131}},
-{5926, 17, 1750, {1, 1, 7, 7, 25, 63, 101, 103, 171, 191, 1863, 3441, 2515, 14179, 30123, 19145, 31669}},
-{5927, 17, 1769, {1, 3, 7, 11, 29, 49, 73, 163, 415, 821, 1809, 723, 7049, 14565, 4829, 19395, 61131}},
-{5928, 17, 1775, {1, 1, 7, 9, 5, 25, 103, 167, 381, 757, 813, 471, 3021, 6619, 20929, 38133, 129505}},
-{5929, 17, 1777, {1, 1, 5, 13, 25, 61, 59, 199, 257, 999, 169, 3289, 7181, 2049, 2185, 39045, 102703}},
-{5930, 17, 1778, {1, 1, 3, 1, 21, 1, 111, 125, 289, 33, 701, 3491, 5569, 8055, 23149, 26793, 102563}},
-{5931, 17, 1792, {1, 1, 7, 3, 25, 15, 105, 235, 307, 201, 1947, 699, 2519, 10615, 29345, 17061, 112949}},
-{5932, 17, 1797, {1, 3, 3, 15, 19, 1, 93, 173, 399, 13, 269, 1189, 523, 5145, 32731, 54087, 94123}},
-{5933, 17, 1802, {1, 3, 1, 15, 9, 41, 59, 79, 217, 833, 1993, 2429, 3599, 6919, 30911, 12615, 67947}},
-{5934, 17, 1822, {1, 3, 3, 13, 31, 9, 95, 37, 343, 955, 1363, 3851, 4091, 13165, 15241, 14853, 35747}},
-{5935, 17, 1825, {1, 1, 3, 5, 27, 39, 37, 217, 385, 473, 1997, 2247, 7353, 1503, 9003, 15055, 27289}},
-{5936, 17, 1831, {1, 3, 7, 11, 1, 13, 21, 243, 375, 91, 1295, 1661, 203, 15251, 15355, 16065, 24183}},
-{5937, 17, 1838, {1, 3, 1, 13, 11, 45, 85, 5, 275, 741, 1395, 4011, 7987, 16087, 24113, 50555, 128147}},
-{5938, 17, 1852, {1, 1, 1, 7, 3, 11, 13, 189, 55, 151, 395, 657, 807, 11973, 26297, 13043, 109641}},
-{5939, 17, 1855, {1, 1, 7, 13, 31, 19, 33, 235, 491, 647, 1115, 2299, 6381, 7525, 2237, 36197, 126457}},
-{5940, 17, 1860, {1, 3, 5, 1, 21, 15, 53, 231, 77, 347, 969, 141, 4501, 9429, 1815, 50887, 74581}},
-{5941, 17, 1867, {1, 1, 1, 9, 29, 43, 47, 103, 327, 131, 927, 441, 7517, 7277, 21065, 409, 50351}},
-{5942, 17, 1869, {1, 1, 5, 1, 11, 13, 103, 157, 239, 69, 1347, 477, 5017, 9723, 28133, 65135, 12359}},
-{5943, 17, 1875, {1, 1, 1, 13, 17, 63, 117, 189, 323, 565, 927, 1727, 5337, 13243, 5739, 31241, 14209}},
-{5944, 17, 1882, {1, 1, 3, 9, 29, 9, 103, 61, 467, 217, 1367, 2405, 5355, 5743, 31469, 30149, 98775}},
-{5945, 17, 1903, {1, 1, 1, 15, 23, 23, 17, 229, 103, 583, 179, 115, 7081, 9437, 32623, 62639, 72391}},
-{5946, 17, 1908, {1, 1, 5, 11, 11, 39, 97, 209, 115, 107, 593, 2347, 1445, 6179, 32011, 8435, 65847}},
-{5947, 17, 1917, {1, 3, 7, 3, 29, 27, 55, 111, 27, 731, 995, 1871, 5017, 1485, 11313, 2559, 6561}},
-{5948, 17, 1927, {1, 3, 1, 3, 27, 9, 103, 247, 83, 197, 517, 1629, 2189, 7255, 183, 35111, 15077}},
-{5949, 17, 1941, {1, 3, 7, 5, 31, 37, 87, 223, 343, 331, 1361, 3371, 2007, 13235, 10897, 63839, 109837}},
-{5950, 17, 1945, {1, 1, 7, 11, 17, 5, 41, 197, 489, 625, 1595, 2663, 5941, 14029, 30999, 16781, 116001}},
-{5951, 17, 1948, {1, 3, 3, 7, 19, 19, 61, 175, 125, 609, 1391, 147, 3001, 4189, 10133, 24031, 46219}},
-{5952, 17, 1962, {1, 1, 3, 13, 13, 57, 117, 181, 299, 939, 583, 3151, 829, 6561, 30449, 12211, 107879}},
-{5953, 17, 1975, {1, 1, 5, 11, 23, 45, 87, 115, 259, 613, 1001, 171, 57, 13789, 22173, 56837, 26263}},
-{5954, 17, 1976, {1, 1, 3, 3, 7, 43, 45, 131, 87, 251, 1411, 2737, 2739, 4595, 12561, 12043, 82885}},
-{5955, 17, 1987, {1, 3, 3, 7, 19, 39, 87, 223, 461, 37, 283, 3937, 6193, 10887, 11509, 41131, 38359}},
-{5956, 17, 1993, {1, 3, 1, 11, 11, 37, 25, 133, 105, 1013, 925, 3301, 239, 16295, 4831, 8649, 125767}},
-{5957, 17, 2004, {1, 3, 3, 11, 25, 11, 41, 155, 1, 717, 1587, 635, 279, 1803, 14817, 28669, 88835}},
-{5958, 17, 2020, {1, 3, 3, 11, 29, 17, 39, 51, 13, 871, 1197, 2561, 6671, 8465, 22709, 15933, 15923}},
-{5959, 17, 2029, {1, 3, 7, 1, 13, 17, 57, 43, 267, 261, 901, 241, 3767, 15053, 11017, 36321, 72497}},
-{5960, 17, 2030, {1, 3, 1, 15, 23, 13, 17, 63, 171, 919, 1387, 2673, 7605, 8523, 14807, 21187, 56057}},
-{5961, 17, 2038, {1, 3, 7, 15, 23, 41, 85, 95, 53, 629, 1877, 3167, 2411, 9619, 24621, 31213, 30069}},
-{5962, 17, 2041, {1, 1, 5, 3, 3, 25, 99, 39, 321, 549, 599, 1279, 2401, 2335, 8227, 59429, 94549}},
-{5963, 17, 2048, {1, 3, 3, 11, 9, 21, 29, 55, 477, 19, 1275, 29, 2253, 11421, 30401, 57059, 93219}},
-{5964, 17, 2054, {1, 1, 7, 1, 27, 13, 117, 249, 463, 769, 281, 515, 7467, 11507, 1621, 39765, 31109}},
-{5965, 17, 2057, {1, 3, 5, 7, 19, 7, 77, 107, 23, 895, 1013, 2701, 3805, 7327, 27247, 6119, 102395}},
-{5966, 17, 2058, {1, 1, 3, 13, 21, 49, 99, 15, 163, 641, 1703, 3061, 163, 4265, 32571, 13957, 75005}},
-{5967, 17, 2068, {1, 1, 5, 11, 27, 17, 87, 169, 427, 959, 361, 1023, 5727, 16279, 1099, 39081, 67215}},
-{5968, 17, 2072, {1, 3, 3, 9, 23, 13, 1, 91, 173, 325, 1881, 1385, 8023, 935, 9221, 19673, 36949}},
-{5969, 17, 2075, {1, 3, 1, 7, 7, 25, 119, 189, 107, 249, 811, 973, 6499, 101, 11281, 55227, 32361}},
-{5970, 17, 2077, {1, 1, 5, 13, 19, 37, 117, 95, 463, 587, 1419, 445, 4019, 7257, 29757, 50773, 52247}},
-{5971, 17, 2082, {1, 1, 1, 1, 17, 57, 81, 57, 43, 789, 1035, 625, 1707, 9683, 3681, 12411, 110623}},
-{5972, 17, 2084, {1, 1, 7, 5, 7, 57, 49, 91, 459, 513, 1869, 3377, 139, 10037, 24091, 54247, 41279}},
-{5973, 17, 2087, {1, 3, 3, 9, 9, 33, 29, 51, 355, 415, 1907, 809, 6543, 349, 18507, 12919, 41667}},
-{5974, 17, 2101, {1, 1, 5, 11, 3, 17, 73, 201, 121, 909, 1623, 799, 3271, 9051, 5717, 15169, 127861}},
-{5975, 17, 2111, {1, 1, 7, 7, 23, 31, 1, 155, 475, 87, 2001, 2459, 1285, 5931, 6803, 56757, 71671}},
-{5976, 17, 2113, {1, 1, 5, 13, 5, 1, 21, 109, 263, 841, 723, 1539, 7529, 433, 23721, 33195, 57001}},
-{5977, 17, 2119, {1, 3, 3, 13, 29, 55, 105, 231, 405, 265, 671, 351, 4693, 9033, 21963, 52073, 125131}},
-{5978, 17, 2147, {1, 3, 1, 13, 25, 51, 55, 227, 245, 983, 251, 2553, 2017, 1381, 31461, 3953, 75775}},
-{5979, 17, 2154, {1, 1, 1, 11, 31, 11, 91, 91, 287, 749, 1019, 4055, 3237, 6965, 14765, 1663, 82987}},
-{5980, 17, 2161, {1, 1, 7, 3, 11, 15, 67, 161, 79, 729, 1115, 3713, 2715, 9361, 9365, 26093, 63409}},
-{5981, 17, 2164, {1, 3, 1, 7, 1, 51, 125, 15, 457, 433, 405, 2329, 157, 4817, 25867, 38177, 45319}},
-{5982, 17, 2177, {1, 3, 7, 9, 25, 57, 5, 233, 481, 781, 1313, 3179, 7219, 8717, 14825, 16079, 127149}},
-{5983, 17, 2178, {1, 1, 7, 15, 27, 51, 5, 65, 77, 313, 1751, 1489, 4307, 10541, 11345, 52577, 18143}},
-{5984, 17, 2184, {1, 1, 1, 15, 21, 5, 113, 71, 411, 327, 1681, 1023, 5661, 15815, 5387, 10351, 21121}},
-{5985, 17, 2198, {1, 1, 5, 5, 29, 55, 25, 255, 69, 879, 501, 1915, 3731, 633, 12197, 5249, 31129}},
-{5986, 17, 2201, {1, 3, 5, 7, 3, 23, 107, 163, 485, 853, 359, 3069, 4353, 371, 6027, 53239, 105541}},
-{5987, 17, 2213, {1, 3, 5, 15, 7, 41, 9, 47, 33, 327, 621, 147, 577, 29, 14623, 3403, 9791}},
-{5988, 17, 2217, {1, 3, 3, 15, 29, 47, 41, 149, 477, 127, 573, 877, 3101, 5963, 28457, 14231, 67425}},
-{5989, 17, 2228, {1, 1, 1, 15, 31, 7, 55, 191, 101, 259, 1071, 219, 2233, 3583, 21969, 32745, 80529}},
-{5990, 17, 2240, {1, 3, 7, 13, 17, 53, 115, 69, 241, 71, 1475, 191, 509, 3721, 15537, 53773, 18005}},
-{5991, 17, 2245, {1, 1, 3, 9, 5, 57, 13, 95, 103, 871, 2043, 2239, 7833, 10727, 6513, 55273, 3781}},
-{5992, 17, 2250, {1, 1, 5, 5, 9, 11, 55, 151, 239, 537, 135, 2779, 7393, 15393, 11097, 58593, 100745}},
-{5993, 17, 2263, {1, 1, 1, 9, 15, 39, 29, 105, 441, 181, 1113, 2125, 8145, 11045, 6589, 33603, 83377}},
-{5994, 17, 2267, {1, 3, 1, 1, 11, 63, 69, 153, 225, 845, 675, 407, 4691, 13383, 27359, 38881, 5509}},
-{5995, 17, 2285, {1, 3, 7, 11, 23, 31, 69, 3, 41, 57, 683, 887, 6861, 12161, 14537, 27293, 113001}},
-{5996, 17, 2286, {1, 1, 1, 11, 5, 1, 101, 175, 437, 3, 1477, 1005, 6607, 7429, 7213, 4025, 66479}},
-{5997, 17, 2291, {1, 1, 7, 5, 19, 7, 99, 131, 273, 977, 1717, 3831, 175, 5673, 12577, 36787, 30945}},
-{5998, 17, 2298, {1, 3, 1, 1, 15, 37, 105, 195, 61, 869, 255, 2625, 7401, 9361, 13217, 52811, 130811}},
-{5999, 17, 2306, {1, 3, 5, 3, 29, 27, 105, 23, 511, 813, 1311, 2859, 1647, 1949, 1329, 27589, 125209}},
-{6000, 17, 2325, {1, 3, 3, 1, 21, 11, 119, 247, 123, 401, 409, 1845, 2133, 10793, 221, 43217, 14069}},
-{6001, 17, 2329, {1, 1, 5, 1, 29, 21, 51, 73, 501, 861, 725, 249, 4249, 8029, 15767, 11985, 18637}},
-{6002, 17, 2332, {1, 1, 5, 11, 19, 39, 97, 65, 13, 283, 489, 2307, 5239, 4161, 18639, 60035, 22405}},
-{6003, 17, 2335, {1, 3, 5, 1, 3, 7, 109, 27, 429, 663, 1569, 3001, 3453, 8627, 9719, 23941, 110451}},
-{6004, 17, 2339, {1, 3, 7, 5, 17, 13, 125, 209, 347, 95, 1937, 1419, 5661, 7171, 20607, 9777, 68343}},
-{6005, 17, 2346, {1, 1, 1, 1, 7, 41, 43, 229, 57, 49, 1863, 2819, 3735, 915, 1571, 11603, 116275}},
-{6006, 17, 2351, {1, 1, 7, 9, 21, 27, 5, 199, 181, 521, 303, 1097, 5427, 8899, 30325, 55457, 16189}},
-{6007, 17, 2353, {1, 3, 3, 7, 19, 41, 3, 205, 279, 223, 971, 633, 2617, 13191, 10193, 23375, 62563}},
-{6008, 17, 2363, {1, 3, 3, 13, 23, 59, 85, 25, 253, 405, 65, 1625, 4401, 4679, 14381, 57833, 30001}},
-{6009, 17, 2378, {1, 3, 3, 3, 13, 35, 11, 157, 123, 397, 119, 2513, 1919, 14583, 5469, 11463, 94711}},
-{6010, 17, 2383, {1, 1, 1, 7, 17, 37, 83, 211, 451, 939, 449, 13, 6671, 1457, 19855, 15053, 52327}},
-{6011, 17, 2391, {1, 1, 5, 3, 9, 57, 39, 183, 331, 451, 1391, 1865, 7801, 14293, 29069, 705, 109497}},
-{6012, 17, 2401, {1, 3, 7, 7, 23, 21, 85, 81, 255, 9, 1685, 2879, 6327, 12675, 31657, 38877, 74131}},
-{6013, 17, 2408, {1, 1, 5, 9, 25, 19, 41, 195, 31, 555, 927, 1445, 593, 11067, 10819, 17205, 82037}},
-{6014, 17, 2414, {1, 3, 1, 13, 1, 35, 29, 71, 323, 705, 53, 3885, 6223, 1319, 30853, 59935, 35949}},
-{6015, 17, 2419, {1, 1, 7, 3, 27, 63, 67, 31, 149, 61, 1611, 77, 4271, 3161, 12493, 38341, 53837}},
-{6016, 17, 2428, {1, 1, 1, 15, 27, 53, 31, 249, 429, 925, 1485, 1855, 4421, 5703, 10097, 14827, 36685}},
-{6017, 17, 2441, {1, 3, 7, 13, 7, 63, 53, 9, 317, 485, 1679, 3631, 3745, 5643, 21615, 45129, 48027}},
-{6018, 17, 2444, {1, 1, 1, 1, 17, 43, 19, 163, 441, 847, 937, 959, 6649, 13071, 1065, 55193, 129509}},
-{6019, 17, 2461, {1, 1, 1, 11, 29, 47, 9, 215, 397, 637, 961, 3139, 2007, 12603, 27657, 22825, 72873}},
-{6020, 17, 2480, {1, 3, 3, 15, 7, 45, 55, 163, 259, 899, 951, 3245, 4191, 15813, 20195, 8361, 54025}},
-{6021, 17, 2483, {1, 1, 5, 11, 3, 17, 13, 223, 289, 255, 875, 2937, 1593, 9729, 21569, 63199, 83875}},
-{6022, 17, 2486, {1, 1, 1, 15, 19, 31, 17, 129, 267, 9, 2015, 3233, 6799, 12891, 18473, 37865, 19547}},
-{6023, 17, 2489, {1, 1, 5, 5, 5, 29, 81, 37, 357, 539, 1525, 2839, 8041, 5569, 4423, 8907, 35461}},
-{6024, 17, 2490, {1, 1, 5, 5, 29, 11, 85, 61, 333, 521, 1111, 3627, 325, 9805, 17889, 25655, 39537}},
-{6025, 17, 2518, {1, 3, 5, 11, 11, 53, 81, 25, 79, 253, 1963, 287, 7487, 15045, 21431, 35417, 102391}},
-{6026, 17, 2527, {1, 1, 1, 5, 11, 33, 45, 45, 425, 773, 1817, 4077, 1471, 11655, 683, 7115, 92651}},
-{6027, 17, 2540, {1, 1, 3, 3, 21, 13, 101, 215, 311, 853, 41, 1007, 5511, 2581, 25565, 13155, 117225}},
-{6028, 17, 2558, {1, 1, 3, 11, 19, 9, 125, 59, 273, 691, 499, 1547, 567, 10259, 21963, 48725, 3601}},
-{6029, 17, 2567, {1, 1, 3, 7, 27, 31, 39, 125, 317, 625, 1329, 3947, 3943, 6889, 2811, 34055, 1449}},
-{6030, 17, 2571, {1, 1, 1, 3, 29, 45, 73, 239, 319, 611, 647, 1839, 5277, 7807, 3107, 14683, 20203}},
-{6031, 17, 2574, {1, 3, 3, 3, 5, 5, 107, 139, 103, 809, 1343, 4041, 3273, 1789, 16205, 47873, 27803}},
-{6032, 17, 2579, {1, 3, 1, 9, 21, 23, 13, 131, 105, 741, 1773, 981, 5633, 14609, 12281, 50343, 14317}},
-{6033, 17, 2585, {1, 1, 1, 5, 11, 5, 125, 171, 109, 555, 159, 905, 691, 12401, 22817, 41411, 70113}},
-{6034, 17, 2615, {1, 3, 3, 9, 31, 37, 109, 231, 59, 615, 799, 319, 2459, 4521, 8525, 4827, 22969}},
-{6035, 17, 2639, {1, 3, 1, 5, 11, 7, 49, 237, 345, 473, 981, 2073, 6525, 8805, 13403, 3659, 69897}},
-{6036, 17, 2641, {1, 3, 1, 5, 9, 37, 13, 203, 141, 573, 745, 2613, 5589, 607, 24483, 38427, 95775}},
-{6037, 17, 2644, {1, 1, 3, 1, 23, 61, 75, 57, 299, 191, 805, 2993, 5175, 12037, 13649, 58831, 48791}},
-{6038, 17, 2663, {1, 3, 7, 13, 31, 57, 13, 219, 185, 717, 1607, 3785, 4719, 11583, 29285, 48207, 92021}},
-{6039, 17, 2667, {1, 3, 7, 15, 23, 35, 23, 69, 411, 773, 1549, 1087, 1685, 15703, 27193, 62675, 43505}},
-{6040, 17, 2669, {1, 1, 5, 3, 25, 19, 97, 75, 493, 549, 1655, 2881, 4989, 2765, 4797, 43143, 113955}},
-{6041, 17, 2672, {1, 1, 5, 7, 21, 5, 65, 37, 383, 133, 1907, 3747, 1525, 5803, 19977, 50551, 23157}},
-{6042, 17, 2687, {1, 1, 1, 11, 15, 61, 59, 109, 489, 901, 1787, 1611, 6101, 10653, 3071, 35643, 56227}},
-{6043, 17, 2700, {1, 3, 1, 5, 15, 25, 121, 111, 25, 251, 1467, 1795, 1631, 13753, 32391, 14831, 90739}},
-{6044, 17, 2705, {1, 1, 1, 13, 23, 55, 119, 147, 45, 871, 1389, 1929, 1023, 16131, 10041, 40055, 23337}},
-{6045, 17, 2724, {1, 3, 1, 15, 27, 33, 23, 41, 463, 603, 1633, 3445, 2007, 5999, 11175, 18343, 13159}},
-{6046, 17, 2728, {1, 3, 1, 9, 17, 15, 107, 63, 493, 411, 293, 3669, 6143, 3057, 8253, 25491, 58907}},
-{6047, 17, 2733, {1, 3, 5, 11, 1, 43, 5, 117, 127, 813, 1881, 3711, 2567, 7819, 5809, 64471, 104221}},
-{6048, 17, 2741, {1, 3, 5, 9, 25, 27, 49, 93, 77, 705, 1773, 1745, 4605, 16137, 14621, 62893, 81637}},
-{6049, 17, 2748, {1, 3, 1, 15, 9, 29, 41, 101, 291, 763, 1475, 3185, 3661, 10351, 26645, 50375, 59373}},
-{6050, 17, 2751, {1, 1, 5, 15, 9, 31, 107, 159, 125, 471, 1023, 2361, 4805, 8073, 21563, 14903, 77801}},
-{6051, 17, 2756, {1, 3, 7, 1, 27, 17, 75, 129, 71, 697, 551, 1969, 6597, 13821, 2605, 61783, 74791}},
-{6052, 17, 2771, {1, 1, 7, 15, 17, 27, 49, 47, 59, 47, 1671, 2535, 1299, 2387, 24349, 23661, 91123}},
-{6053, 17, 2774, {1, 1, 5, 15, 21, 61, 45, 37, 415, 189, 143, 351, 1815, 3479, 2399, 56753, 123893}},
-{6054, 17, 2793, {1, 1, 3, 7, 7, 19, 93, 249, 335, 305, 1437, 1329, 2693, 13201, 9589, 61513, 115995}},
-{6055, 17, 2796, {1, 1, 1, 11, 21, 57, 33, 205, 235, 253, 751, 259, 6029, 9811, 10231, 36899, 78035}},
-{6056, 17, 2804, {1, 1, 1, 11, 13, 25, 115, 195, 111, 913, 1851, 3283, 6083, 11717, 2773, 40727, 493}},
-{6057, 17, 2814, {1, 3, 3, 9, 9, 17, 83, 137, 465, 671, 1277, 325, 2767, 12413, 21977, 47525, 23041}},
-{6058, 17, 2822, {1, 1, 1, 11, 15, 47, 65, 219, 271, 197, 297, 3195, 1325, 9991, 26385, 46055, 43151}},
-{6059, 17, 2845, {1, 1, 1, 13, 31, 21, 39, 89, 127, 629, 367, 2935, 6259, 6627, 15691, 55781, 97251}},
-{6060, 17, 2846, {1, 1, 7, 13, 11, 45, 65, 75, 211, 785, 1221, 2087, 7751, 15619, 25489, 28195, 69007}},
-{6061, 17, 2850, {1, 3, 5, 15, 27, 37, 75, 111, 487, 219, 233, 583, 6433, 15105, 355, 28331, 21105}},
-{6062, 17, 2855, {1, 3, 3, 15, 31, 53, 33, 95, 27, 197, 1727, 1467, 7115, 15479, 26873, 31075, 12793}},
-{6063, 17, 2856, {1, 3, 7, 1, 19, 3, 19, 105, 225, 599, 737, 107, 7951, 10193, 31699, 59207, 85619}},
-{6064, 17, 2867, {1, 3, 1, 3, 7, 17, 73, 191, 247, 421, 537, 1473, 189, 4219, 29993, 25491, 21189}},
-{6065, 17, 2891, {1, 3, 7, 7, 13, 21, 33, 95, 147, 699, 943, 2275, 4093, 6067, 9063, 25503, 111085}},
-{6066, 17, 2894, {1, 1, 7, 9, 13, 47, 123, 121, 347, 467, 225, 957, 2329, 14075, 29843, 61753, 97179}},
-{6067, 17, 2902, {1, 3, 3, 7, 17, 55, 37, 167, 215, 819, 163, 1747, 4485, 15991, 28011, 36351, 106495}},
-{6068, 17, 2908, {1, 1, 3, 9, 25, 5, 83, 199, 209, 395, 1757, 1967, 5739, 2573, 13989, 32145, 4847}},
-{6069, 17, 2951, {1, 3, 3, 13, 11, 21, 25, 223, 239, 569, 1877, 299, 8089, 3697, 801, 64775, 26827}},
-{6070, 17, 2970, {1, 3, 5, 7, 17, 9, 127, 9, 65, 919, 1073, 2661, 1337, 10065, 30099, 30929, 90067}},
-{6071, 17, 2972, {1, 3, 1, 13, 25, 41, 35, 251, 279, 351, 111, 3917, 2815, 7989, 9895, 54859, 126355}},
-{6072, 17, 2975, {1, 1, 3, 7, 17, 61, 13, 73, 335, 831, 703, 37, 2765, 13169, 12513, 56301, 13907}},
-{6073, 17, 2976, {1, 1, 5, 13, 11, 15, 33, 45, 505, 127, 1723, 17, 4927, 11453, 28859, 9671, 80041}},
-{6074, 17, 2981, {1, 3, 1, 5, 9, 1, 25, 147, 281, 601, 243, 2687, 5533, 6725, 11075, 34807, 24619}},
-{6075, 17, 2986, {1, 1, 3, 1, 7, 21, 71, 31, 485, 561, 1361, 1237, 8171, 15885, 7941, 4583, 32851}},
-{6076, 17, 2999, {1, 3, 7, 1, 5, 35, 95, 155, 283, 959, 577, 1343, 4269, 13481, 30819, 40273, 8711}},
-{6077, 17, 3000, {1, 3, 7, 3, 1, 53, 77, 45, 215, 537, 1045, 77, 2791, 3553, 13273, 23819, 62263}},
-{6078, 17, 3006, {1, 3, 1, 15, 29, 59, 7, 145, 85, 3, 251, 2691, 7547, 11241, 32295, 24645, 75739}},
-{6079, 17, 3014, {1, 1, 5, 9, 19, 9, 39, 163, 303, 233, 2039, 2027, 7169, 2773, 28649, 38317, 66761}},
-{6080, 17, 3028, {1, 3, 7, 5, 21, 27, 93, 227, 131, 1019, 1619, 1497, 4043, 1131, 25761, 20173, 99957}},
-{6081, 17, 3031, {1, 3, 7, 5, 19, 33, 15, 173, 435, 399, 531, 2001, 3221, 12627, 10153, 24421, 61805}},
-{6082, 17, 3035, {1, 3, 1, 9, 11, 3, 69, 105, 289, 183, 1103, 831, 2297, 1613, 18801, 54395, 54243}},
-{6083, 17, 3037, {1, 3, 3, 9, 3, 53, 113, 183, 79, 355, 1629, 1061, 3713, 4563, 14365, 43529, 56073}},
-{6084, 17, 3053, {1, 3, 7, 11, 31, 39, 107, 139, 187, 873, 225, 33, 4943, 15837, 225, 6407, 85967}},
-{6085, 17, 3059, {1, 3, 1, 11, 17, 47, 93, 233, 119, 699, 1429, 2845, 2061, 8887, 20665, 45497, 33107}},
-{6086, 17, 3065, {1, 3, 5, 1, 25, 11, 55, 75, 91, 1009, 1887, 3167, 515, 15929, 11659, 57953, 63401}},
-{6087, 17, 3080, {1, 1, 3, 15, 27, 59, 103, 53, 353, 553, 2021, 1543, 2785, 9373, 14609, 21213, 19911}},
-{6088, 17, 3091, {1, 3, 7, 9, 3, 1, 101, 133, 437, 773, 1399, 1067, 7419, 1793, 16589, 3483, 42065}},
-{6089, 17, 3094, {1, 3, 7, 1, 25, 57, 127, 113, 65, 577, 1865, 1527, 6485, 11273, 15803, 39625, 75219}},
-{6090, 17, 3109, {1, 3, 5, 9, 7, 63, 29, 89, 155, 45, 1029, 2407, 6783, 4749, 4849, 26639, 54059}},
-{6091, 17, 3110, {1, 3, 7, 9, 25, 13, 113, 41, 267, 767, 1071, 1689, 269, 14437, 21255, 39473, 65771}},
-{6092, 17, 3113, {1, 3, 1, 15, 5, 3, 77, 43, 391, 763, 59, 1027, 6263, 3715, 31061, 43311, 130725}},
-{6093, 17, 3116, {1, 3, 7, 7, 21, 51, 127, 71, 229, 171, 397, 1099, 871, 2717, 1643, 17363, 125979}},
-{6094, 17, 3136, {1, 1, 5, 15, 25, 11, 11, 113, 203, 795, 1703, 3901, 1113, 12819, 25345, 46691, 112313}},
-{6095, 17, 3139, {1, 3, 7, 5, 1, 59, 91, 81, 325, 483, 595, 1491, 7455, 6699, 199, 35597, 59851}},
-{6096, 17, 3141, {1, 3, 5, 1, 3, 33, 43, 195, 201, 575, 1395, 1305, 7001, 2023, 22419, 15233, 120355}},
-{6097, 17, 3154, {1, 1, 3, 3, 15, 37, 81, 59, 87, 675, 199, 3231, 4473, 5023, 16753, 51475, 102113}},
-{6098, 17, 3160, {1, 1, 7, 9, 13, 39, 65, 9, 51, 565, 1171, 119, 7875, 12149, 6565, 56849, 123235}},
-{6099, 17, 3169, {1, 3, 3, 7, 15, 45, 53, 93, 111, 533, 1849, 643, 2265, 10241, 24741, 11559, 74333}},
-{6100, 17, 3182, {1, 3, 1, 1, 11, 61, 75, 51, 5, 199, 535, 279, 5821, 6005, 2907, 32521, 74121}},
-{6101, 17, 3187, {1, 1, 3, 15, 3, 21, 29, 193, 71, 993, 1719, 1865, 6135, 7683, 12171, 29275, 14539}},
-{6102, 17, 3189, {1, 1, 1, 7, 7, 13, 1, 61, 315, 431, 1145, 2067, 5745, 1641, 1047, 55111, 129477}},
-{6103, 17, 3190, {1, 1, 5, 1, 21, 43, 115, 193, 153, 573, 1181, 3947, 7809, 11317, 30649, 56891, 47741}},
-{6104, 17, 3203, {1, 1, 5, 7, 19, 15, 61, 239, 109, 683, 395, 2869, 3103, 1531, 12019, 45159, 37525}},
-{6105, 17, 3217, {1, 1, 5, 7, 29, 55, 45, 7, 353, 659, 591, 3371, 5777, 8475, 2743, 47483, 11983}},
-{6106, 17, 3229, {1, 3, 1, 3, 13, 17, 39, 195, 43, 5, 1749, 2559, 5843, 8719, 21421, 58511, 105637}},
-{6107, 17, 3236, {1, 3, 5, 5, 5, 21, 29, 63, 387, 301, 567, 3325, 2109, 403, 23053, 24851, 14493}},
-{6108, 17, 3248, {1, 1, 3, 3, 17, 57, 107, 131, 85, 855, 1101, 3199, 7159, 14739, 4197, 27943, 113009}},
-{6109, 17, 3257, {1, 1, 3, 11, 1, 61, 31, 79, 33, 123, 1509, 507, 6679, 2279, 8465, 37279, 17553}},
-{6110, 17, 3278, {1, 3, 1, 15, 7, 33, 11, 71, 217, 609, 1661, 3437, 5497, 13365, 6247, 649, 26407}},
-{6111, 17, 3283, {1, 1, 3, 1, 19, 45, 49, 125, 5, 455, 1669, 4083, 253, 10101, 27327, 16401, 120399}},
-{6112, 17, 3289, {1, 3, 1, 1, 27, 19, 117, 137, 261, 341, 1697, 457, 7553, 12169, 30049, 49281, 36937}},
-{6113, 17, 3292, {1, 1, 1, 3, 9, 49, 33, 13, 461, 545, 1537, 2623, 883, 10921, 5583, 58997, 114183}},
-{6114, 17, 3302, {1, 1, 7, 9, 29, 53, 29, 165, 205, 989, 1347, 2343, 7505, 7609, 18503, 51677, 105993}},
-{6115, 17, 3316, {1, 1, 1, 13, 1, 29, 59, 121, 297, 659, 1965, 1765, 5255, 10971, 32613, 18763, 41983}},
-{6116, 17, 3328, {1, 3, 7, 11, 21, 41, 19, 47, 125, 485, 475, 2745, 4075, 8101, 31227, 4679, 115473}},
-{6117, 17, 3333, {1, 3, 3, 7, 21, 23, 55, 65, 223, 1001, 317, 1459, 183, 5139, 26553, 41471, 116373}},
-{6118, 17, 3337, {1, 1, 7, 3, 1, 9, 29, 139, 343, 913, 1993, 3139, 3791, 5869, 6057, 23863, 35737}},
-{6119, 17, 3340, {1, 3, 3, 3, 7, 21, 77, 197, 239, 467, 35, 591, 1061, 3417, 31811, 38825, 124981}},
-{6120, 17, 3368, {1, 3, 3, 1, 21, 29, 5, 213, 417, 111, 1681, 1409, 2899, 16233, 1053, 51235, 87767}},
-{6121, 17, 3371, {1, 1, 5, 3, 13, 47, 61, 203, 223, 73, 1947, 3613, 5885, 13567, 7593, 34329, 68597}},
-{6122, 17, 3376, {1, 3, 1, 1, 17, 9, 11, 187, 361, 973, 781, 1835, 1539, 12917, 21725, 48279, 115037}},
-{6123, 17, 3385, {1, 3, 1, 1, 9, 25, 117, 157, 433, 395, 403, 2183, 3327, 5427, 7505, 2673, 77137}},
-{6124, 17, 3386, {1, 1, 7, 15, 31, 15, 27, 155, 441, 837, 1877, 3829, 5139, 16331, 31183, 15803, 95699}},
-{6125, 17, 3393, {1, 1, 7, 15, 5, 51, 77, 179, 289, 727, 1763, 2529, 6715, 3967, 29267, 27293, 67953}},
-{6126, 17, 3399, {1, 3, 7, 13, 7, 3, 3, 17, 311, 547, 1465, 1413, 3937, 2725, 24523, 12321, 109763}},
-{6127, 17, 3405, {1, 3, 5, 15, 9, 5, 87, 135, 281, 97, 2021, 1903, 8007, 10321, 27989, 18993, 110407}},
-{6128, 17, 3414, {1, 1, 1, 13, 25, 61, 89, 107, 233, 823, 1375, 3531, 1757, 1577, 29457, 1461, 17217}},
-{6129, 17, 3433, {1, 1, 1, 13, 17, 17, 27, 193, 485, 759, 145, 3943, 4183, 14119, 11217, 3793, 1935}},
-{6130, 17, 3436, {1, 1, 1, 3, 13, 31, 101, 227, 311, 363, 1925, 1525, 5275, 2385, 15093, 48769, 121189}},
-{6131, 17, 3448, {1, 1, 5, 13, 11, 61, 89, 141, 117, 229, 417, 3935, 7249, 13869, 30591, 62763, 67521}},
-{6132, 17, 3467, {1, 1, 3, 15, 7, 59, 105, 239, 453, 221, 1101, 395, 2031, 8941, 23155, 7077, 125593}},
-{6133, 17, 3469, {1, 1, 1, 11, 7, 55, 99, 31, 305, 371, 1035, 577, 4473, 577, 371, 46093, 69157}},
-{6134, 17, 3472, {1, 3, 1, 9, 9, 33, 35, 245, 95, 47, 1623, 2965, 6849, 7269, 5321, 31641, 73321}},
-{6135, 17, 3477, {1, 1, 1, 15, 21, 61, 65, 65, 159, 151, 625, 2281, 2993, 1311, 29757, 24703, 71029}},
-{6136, 17, 3484, {1, 3, 5, 15, 29, 59, 29, 69, 351, 901, 631, 3501, 7031, 703, 20805, 36437, 94931}},
-{6137, 17, 3494, {1, 3, 7, 1, 21, 11, 19, 125, 237, 807, 1651, 2389, 7347, 11759, 27151, 38669, 965}},
-{6138, 17, 3505, {1, 1, 5, 1, 15, 41, 1, 105, 89, 127, 895, 29, 2339, 15951, 18633, 2781, 67269}},
-{6139, 17, 3515, {1, 1, 5, 15, 25, 7, 3, 33, 375, 447, 203, 2579, 6145, 14015, 9939, 52777, 123181}},
-{6140, 17, 3523, {1, 3, 1, 15, 29, 7, 7, 27, 451, 869, 107, 2457, 5557, 11601, 28957, 36181, 41419}},
-{6141, 17, 3530, {1, 1, 1, 7, 1, 57, 33, 213, 329, 763, 815, 169, 623, 155, 20529, 20603, 73311}},
-{6142, 17, 3543, {1, 3, 5, 7, 25, 21, 7, 217, 159, 89, 1373, 1735, 705, 4093, 13083, 3855, 55875}},
-{6143, 17, 3559, {1, 3, 1, 1, 29, 33, 105, 127, 95, 543, 235, 67, 691, 5015, 22139, 18251, 89945}},
-{6144, 17, 3568, {1, 1, 3, 11, 27, 53, 105, 83, 337, 331, 1571, 1145, 745, 1845, 17881, 17697, 88139}},
-{6145, 17, 3577, {1, 3, 7, 15, 19, 37, 119, 35, 35, 463, 1925, 1665, 673, 12193, 12137, 62371, 10957}},
-{6146, 17, 3578, {1, 3, 3, 3, 19, 21, 113, 29, 459, 467, 623, 2661, 857, 16265, 27509, 46555, 18867}},
-{6147, 17, 3594, {1, 3, 7, 5, 17, 49, 123, 41, 85, 673, 41, 1871, 7649, 8687, 28269, 64423, 93675}},
-{6148, 17, 3601, {1, 3, 3, 3, 7, 23, 101, 171, 181, 527, 65, 2387, 6629, 6089, 17387, 46551, 36143}},
-{6149, 17, 3607, {1, 1, 5, 1, 13, 51, 21, 251, 139, 429, 1993, 3767, 1089, 5459, 19407, 41747, 41033}},
-{6150, 17, 3608, {1, 1, 1, 11, 15, 9, 81, 91, 73, 969, 1513, 2067, 7959, 2605, 26641, 37631, 124571}},
-{6151, 17, 3620, {1, 1, 3, 15, 29, 15, 5, 57, 247, 901, 527, 3325, 5859, 11299, 9871, 63947, 125247}},
-{6152, 17, 3629, {1, 3, 1, 5, 1, 35, 75, 21, 307, 43, 1111, 3299, 1647, 3585, 31045, 18217, 95169}},
-{6153, 17, 3644, {1, 3, 1, 7, 23, 35, 11, 103, 3, 461, 1915, 4019, 453, 13111, 26941, 43091, 22917}},
-{6154, 17, 3656, {1, 1, 5, 5, 1, 61, 121, 167, 475, 5, 1749, 887, 2237, 5055, 7077, 29453, 17691}},
-{6155, 17, 3664, {1, 3, 3, 15, 15, 15, 9, 15, 171, 787, 1965, 577, 4507, 7325, 20901, 8557, 111909}},
-{6156, 17, 3670, {1, 3, 5, 1, 27, 15, 123, 141, 63, 55, 599, 4095, 1245, 13919, 27485, 49977, 74551}},
-{6157, 17, 3680, {1, 3, 5, 9, 21, 61, 79, 119, 7, 573, 1923, 2775, 3127, 12689, 12135, 53429, 130163}},
-{6158, 17, 3685, {1, 3, 3, 13, 27, 41, 67, 249, 447, 277, 311, 775, 8187, 10161, 12953, 22885, 121247}},
-{6159, 17, 3686, {1, 3, 5, 9, 21, 55, 115, 65, 45, 395, 481, 2063, 6493, 4199, 19219, 27119, 62255}},
-{6160, 17, 3695, {1, 1, 3, 13, 7, 41, 3, 127, 383, 923, 1725, 1033, 7731, 11971, 3089, 46459, 98369}},
-{6161, 17, 3698, {1, 1, 3, 11, 13, 39, 39, 149, 309, 311, 1491, 807, 2109, 363, 14637, 65429, 124731}},
-{6162, 17, 3703, {1, 1, 7, 13, 13, 35, 67, 81, 493, 859, 1177, 237, 4605, 15319, 16669, 16661, 21385}},
-{6163, 17, 3710, {1, 1, 3, 7, 7, 39, 57, 103, 239, 753, 221, 1611, 1557, 13317, 27453, 10245, 33839}},
-{6164, 17, 3714, {1, 1, 5, 13, 27, 53, 97, 41, 123, 253, 535, 1839, 5827, 7587, 1261, 20313, 65961}},
-{6165, 17, 3726, {1, 1, 7, 1, 11, 47, 93, 135, 223, 591, 1087, 3329, 3293, 14207, 6187, 54789, 23781}},
-{6166, 17, 3731, {1, 3, 7, 7, 25, 21, 97, 105, 269, 515, 1805, 3711, 3295, 7307, 21065, 65205, 116969}},
-{6167, 17, 3733, {1, 3, 1, 11, 25, 37, 21, 89, 109, 581, 1055, 2393, 1291, 1115, 25545, 36383, 93605}},
-{6168, 17, 3737, {1, 3, 7, 1, 27, 13, 113, 11, 395, 473, 943, 4045, 5507, 15051, 25203, 2971, 31961}},
-{6169, 17, 3756, {1, 1, 5, 5, 27, 35, 57, 219, 67, 949, 659, 203, 5235, 6509, 13731, 61533, 54963}},
-{6170, 17, 3759, {1, 3, 1, 1, 15, 39, 85, 13, 347, 99, 25, 3595, 3081, 13617, 14373, 58909, 102181}},
-{6171, 17, 3767, {1, 1, 7, 13, 3, 25, 97, 91, 287, 389, 665, 2981, 2301, 12625, 4495, 57489, 68677}},
-{6172, 17, 3776, {1, 1, 5, 1, 15, 57, 77, 55, 299, 713, 1457, 3699, 2807, 5549, 467, 47367, 8163}},
-{6173, 17, 3785, {1, 1, 7, 3, 23, 45, 91, 251, 501, 193, 1121, 2359, 4781, 12797, 13713, 55171, 927}},
-{6174, 17, 3793, {1, 3, 3, 7, 7, 31, 87, 163, 249, 163, 937, 1293, 4827, 10299, 31935, 58787, 80589}},
-{6175, 17, 3812, {1, 3, 1, 9, 7, 1, 73, 65, 475, 791, 1429, 3319, 7149, 433, 10373, 44061, 121195}},
-{6176, 17, 3815, {1, 1, 5, 9, 9, 61, 27, 249, 435, 437, 1329, 2163, 5859, 13663, 623, 55569, 94283}},
-{6177, 17, 3824, {1, 3, 7, 11, 1, 29, 117, 195, 399, 999, 1705, 1325, 6043, 9823, 27335, 30377, 16627}},
-{6178, 17, 3844, {1, 1, 1, 15, 5, 11, 63, 185, 15, 741, 1061, 2961, 3455, 5, 26587, 54081, 18107}},
-{6179, 17, 3859, {1, 1, 5, 7, 29, 57, 17, 203, 501, 177, 49, 2773, 8069, 12513, 14437, 64489, 58661}},
-{6180, 17, 3866, {1, 3, 3, 9, 11, 23, 121, 3, 415, 447, 1773, 135, 5901, 4951, 2683, 437, 126251}},
-{6181, 17, 3872, {1, 3, 3, 1, 7, 23, 17, 23, 115, 591, 1075, 3133, 49, 15183, 10615, 37857, 122609}},
-{6182, 17, 3884, {1, 1, 3, 3, 13, 49, 63, 37, 275, 763, 1135, 2913, 1563, 11037, 6693, 18799, 32089}},
-{6183, 17, 3889, {1, 3, 5, 11, 7, 29, 59, 45, 227, 941, 1947, 2733, 797, 10485, 7071, 14741, 11451}},
-{6184, 17, 3899, {1, 1, 1, 9, 21, 19, 77, 97, 75, 991, 187, 1003, 5619, 11013, 3931, 19907, 79723}},
-{6185, 17, 3902, {1, 1, 7, 13, 1, 57, 61, 177, 443, 227, 1347, 2665, 2011, 12329, 14137, 37795, 63331}},
-{6186, 17, 3909, {1, 3, 3, 9, 31, 59, 87, 93, 485, 635, 901, 1845, 6153, 10797, 1289, 8989, 41717}},
-{6187, 17, 3913, {1, 1, 1, 1, 3, 7, 85, 17, 67, 309, 1891, 435, 303, 8011, 32127, 54309, 21457}},
-{6188, 17, 3933, {1, 3, 7, 1, 29, 27, 41, 239, 293, 717, 1331, 917, 6145, 7131, 28199, 35093, 103683}},
-{6189, 17, 3938, {1, 3, 7, 3, 21, 63, 65, 233, 257, 789, 1095, 505, 4557, 16259, 7397, 24815, 89529}},
-{6190, 17, 3949, {1, 3, 3, 11, 29, 41, 55, 17, 335, 715, 779, 2121, 6393, 8887, 32753, 45647, 82665}},
-{6191, 17, 3952, {1, 1, 1, 11, 27, 47, 71, 13, 141, 283, 967, 3359, 4309, 6661, 20481, 23175, 50835}},
-{6192, 17, 3980, {1, 3, 3, 7, 3, 25, 19, 241, 409, 573, 1565, 3355, 1307, 12205, 18017, 8271, 117007}},
-{6193, 17, 3991, {1, 3, 3, 9, 21, 39, 21, 253, 439, 963, 341, 3637, 2275, 1845, 11015, 481, 83369}},
-{6194, 17, 3992, {1, 3, 7, 9, 31, 29, 29, 163, 111, 983, 571, 713, 2621, 11569, 13341, 28341, 130381}},
-{6195, 17, 4002, {1, 3, 7, 7, 11, 35, 89, 49, 81, 115, 113, 1857, 3527, 14819, 6909, 14659, 23557}},
-{6196, 17, 4008, {1, 3, 3, 15, 29, 41, 85, 241, 317, 737, 213, 1667, 5789, 16321, 13991, 36165, 124151}},
-{6197, 17, 4011, {1, 3, 1, 3, 31, 1, 75, 99, 495, 241, 1499, 1535, 2033, 2135, 6699, 58893, 37031}},
-{6198, 17, 4016, {1, 1, 7, 9, 25, 15, 101, 23, 477, 563, 1691, 2655, 2321, 2323, 4255, 22055, 99661}},
-{6199, 17, 4034, {1, 3, 7, 5, 7, 7, 49, 221, 51, 83, 279, 2205, 2939, 2119, 14073, 32839, 108075}},
-{6200, 17, 4036, {1, 3, 5, 11, 17, 39, 3, 127, 87, 501, 799, 401, 4439, 9895, 13017, 64975, 67177}},
-{6201, 17, 4063, {1, 3, 3, 9, 17, 41, 59, 95, 283, 309, 83, 1293, 6385, 5783, 30115, 33997, 12531}},
-{6202, 17, 4067, {1, 3, 5, 3, 7, 31, 69, 171, 225, 409, 1237, 3343, 835, 8039, 16723, 37203, 129047}},
-{6203, 17, 4073, {1, 3, 3, 15, 17, 23, 107, 1, 105, 135, 1245, 993, 4101, 7325, 7425, 17379, 98121}},
-{6204, 17, 4082, {1, 1, 7, 9, 27, 5, 67, 111, 75, 531, 243, 2239, 2527, 4513, 27059, 40533, 88169}},
-{6205, 17, 4091, {1, 3, 5, 7, 21, 63, 57, 15, 75, 679, 1729, 1845, 6259, 8531, 18691, 49321, 101599}},
-{6206, 17, 4093, {1, 1, 5, 9, 3, 35, 7, 201, 351, 885, 669, 2339, 5009, 279, 26469, 54597, 67933}},
-{6207, 17, 4101, {1, 3, 5, 13, 27, 5, 85, 161, 141, 733, 1017, 2021, 6951, 15595, 21817, 17243, 88607}},
-{6208, 17, 4113, {1, 3, 5, 1, 11, 31, 117, 97, 175, 629, 995, 1207, 2941, 5825, 5319, 48191, 9505}},
-{6209, 17, 4120, {1, 3, 3, 7, 25, 39, 45, 79, 21, 607, 1593, 1749, 7951, 10425, 17491, 16617, 56903}},
-{6210, 17, 4125, {1, 1, 1, 5, 15, 41, 107, 115, 79, 693, 919, 3513, 6793, 6541, 5545, 58583, 27963}},
-{6211, 17, 4126, {1, 3, 7, 11, 21, 19, 123, 1, 441, 531, 359, 2117, 2465, 11389, 13489, 32755, 4577}},
-{6212, 17, 4139, {1, 1, 5, 13, 7, 7, 7, 127, 201, 377, 1423, 269, 2611, 3339, 19153, 25659, 33069}},
-{6213, 17, 4142, {1, 3, 7, 1, 13, 35, 45, 5, 313, 739, 1779, 2983, 1815, 8817, 14239, 3921, 57975}},
-{6214, 17, 4144, {1, 3, 1, 11, 9, 39, 33, 111, 39, 255, 159, 2345, 2193, 11475, 12841, 47579, 90309}},
-{6215, 17, 4147, {1, 1, 1, 3, 27, 49, 85, 157, 243, 247, 1473, 323, 4631, 1787, 15193, 5533, 104999}},
-{6216, 17, 4153, {1, 1, 7, 9, 11, 29, 23, 219, 57, 339, 1797, 409, 6025, 10569, 27409, 15147, 130281}},
-{6217, 17, 4154, {1, 1, 7, 1, 31, 31, 113, 229, 63, 877, 319, 2655, 3335, 7743, 19593, 10089, 28215}},
-{6218, 17, 4164, {1, 1, 3, 11, 23, 3, 71, 235, 329, 751, 159, 2579, 5363, 12681, 20233, 53855, 16407}},
-{6219, 17, 4174, {1, 1, 5, 1, 7, 61, 21, 235, 379, 849, 61, 2969, 6399, 2655, 21635, 16955, 58675}},
-{6220, 17, 4182, {1, 3, 7, 7, 29, 15, 5, 11, 143, 699, 1875, 2115, 6633, 6195, 5829, 53633, 111221}},
-{6221, 17, 4185, {1, 3, 7, 11, 19, 41, 17, 219, 483, 829, 1233, 3183, 6283, 2363, 25245, 63075, 82733}},
-{6222, 17, 4188, {1, 3, 7, 13, 21, 17, 1, 207, 443, 575, 521, 2585, 6875, 14871, 14739, 10211, 127435}},
-{6223, 17, 4191, {1, 3, 7, 7, 15, 39, 99, 197, 219, 259, 1723, 3737, 6625, 849, 887, 41293, 53825}},
-{6224, 17, 4195, {1, 3, 3, 3, 5, 3, 75, 155, 189, 935, 85, 2273, 1375, 4217, 10709, 58047, 81689}},
-{6225, 17, 4219, {1, 3, 5, 5, 27, 27, 107, 229, 179, 887, 91, 421, 7313, 6495, 451, 43859, 40033}},
-{6226, 17, 4225, {1, 3, 5, 11, 25, 49, 121, 73, 169, 311, 1387, 1037, 6519, 9317, 26975, 50627, 46805}},
-{6227, 17, 4228, {1, 1, 5, 11, 17, 21, 19, 125, 387, 697, 1017, 1759, 7295, 9869, 28241, 9367, 119255}},
-{6228, 17, 4232, {1, 1, 7, 5, 29, 27, 87, 187, 95, 625, 933, 1751, 5253, 313, 30841, 16349, 67347}},
-{6229, 17, 4246, {1, 1, 3, 3, 15, 51, 23, 101, 183, 267, 243, 711, 983, 12461, 17801, 1429, 47273}},
-{6230, 17, 4255, {1, 1, 1, 3, 17, 3, 73, 67, 49, 449, 879, 2559, 401, 11983, 13697, 12023, 78855}},
-{6231, 17, 4274, {1, 3, 7, 15, 25, 25, 43, 81, 141, 161, 595, 621, 1165, 10869, 22875, 6741, 90017}},
-{6232, 17, 4283, {1, 3, 5, 11, 13, 57, 53, 219, 145, 937, 769, 1961, 4725, 3335, 12623, 8335, 46305}},
-{6233, 17, 4286, {1, 1, 3, 5, 7, 39, 19, 101, 313, 583, 483, 2515, 125, 5211, 2559, 11937, 126717}},
-{6234, 17, 4306, {1, 3, 1, 7, 7, 1, 117, 49, 231, 133, 381, 697, 927, 8263, 26529, 64881, 25059}},
-{6235, 17, 4311, {1, 1, 1, 15, 11, 25, 77, 149, 233, 215, 1239, 3045, 99, 11183, 30279, 32271, 100943}},
-{6236, 17, 4317, {1, 1, 5, 7, 31, 25, 1, 51, 221, 607, 1733, 2145, 6765, 7011, 16927, 29257, 2445}},
-{6237, 17, 4321, {1, 3, 5, 1, 19, 23, 123, 93, 381, 295, 765, 2335, 8025, 14003, 4801, 54243, 57297}},
-{6238, 17, 4324, {1, 1, 7, 9, 9, 31, 63, 191, 495, 527, 251, 2119, 1663, 209, 7445, 1441, 4075}},
-{6239, 17, 4331, {1, 3, 5, 5, 13, 17, 97, 79, 369, 55, 677, 2031, 7315, 4769, 31659, 21975, 22061}},
-{6240, 17, 4333, {1, 3, 3, 7, 3, 63, 121, 243, 39, 917, 1917, 297, 7241, 1565, 31675, 14443, 67239}},
-{6241, 17, 4359, {1, 3, 7, 1, 13, 25, 51, 65, 145, 475, 1853, 4023, 5121, 14411, 15993, 42165, 13615}},
-{6242, 17, 4360, {1, 3, 3, 1, 3, 51, 75, 29, 169, 311, 1309, 2929, 7669, 1507, 14605, 32667, 103861}},
-{6243, 17, 4368, {1, 3, 7, 1, 23, 37, 89, 211, 137, 495, 1469, 3425, 1167, 12429, 27301, 46857, 83007}},
-{6244, 17, 4373, {1, 3, 7, 7, 27, 37, 33, 129, 73, 23, 761, 119, 6217, 4749, 20835, 47477, 33665}},
-{6245, 17, 4389, {1, 1, 3, 5, 29, 35, 79, 21, 183, 933, 43, 3149, 5273, 12159, 20695, 5387, 23569}},
-{6246, 17, 4394, {1, 1, 5, 5, 3, 11, 57, 205, 349, 657, 1509, 3693, 5495, 11865, 13861, 62215, 94141}},
-{6247, 17, 4413, {1, 3, 1, 7, 17, 43, 117, 119, 75, 849, 1247, 643, 2691, 2289, 9759, 18683, 68649}},
-{6248, 17, 4422, {1, 1, 1, 15, 5, 55, 89, 177, 427, 701, 735, 2993, 5293, 15395, 567, 5501, 102393}},
-{6249, 17, 4431, {1, 3, 3, 15, 5, 37, 73, 111, 9, 141, 407, 1579, 6691, 11843, 6377, 64181, 97347}},
-{6250, 17, 4436, {1, 1, 5, 1, 9, 17, 71, 127, 285, 929, 1243, 2605, 359, 14589, 32603, 39879, 115901}},
-{6251, 17, 4440, {1, 3, 7, 15, 3, 27, 91, 121, 47, 631, 1589, 385, 5997, 14077, 21285, 33895, 36985}},
-{6252, 17, 4445, {1, 3, 3, 9, 1, 47, 89, 79, 213, 27, 547, 1703, 4035, 13205, 4341, 21895, 34247}},
-{6253, 17, 4452, {1, 3, 5, 7, 9, 9, 47, 89, 231, 857, 297, 2949, 2715, 1275, 14427, 20227, 21569}},
-{6254, 17, 4462, {1, 3, 1, 3, 15, 57, 61, 183, 377, 477, 1135, 1729, 2863, 8607, 29241, 34983, 84443}},
-{6255, 17, 4469, {1, 1, 7, 7, 5, 53, 91, 149, 71, 41, 1025, 3945, 3989, 15853, 20903, 26943, 99841}},
-{6256, 17, 4470, {1, 3, 3, 3, 29, 21, 59, 217, 483, 257, 331, 657, 2935, 945, 9821, 42501, 98087}},
-{6257, 17, 4473, {1, 3, 5, 3, 17, 39, 123, 103, 109, 957, 853, 3821, 555, 10869, 27673, 38315, 83105}},
-{6258, 17, 4479, {1, 3, 1, 3, 27, 7, 97, 57, 429, 53, 1791, 1405, 4113, 8435, 12845, 21567, 91559}},
-{6259, 17, 4480, {1, 3, 3, 1, 17, 61, 125, 77, 225, 395, 945, 3213, 1363, 15947, 27049, 4389, 64037}},
-{6260, 17, 4483, {1, 1, 1, 3, 15, 51, 15, 189, 449, 989, 939, 985, 6929, 13779, 25011, 22277, 72543}},
-{6261, 17, 4489, {1, 3, 3, 1, 25, 53, 5, 219, 195, 703, 163, 1405, 821, 6797, 14329, 1675, 96653}},
-{6262, 17, 4503, {1, 1, 7, 13, 7, 1, 45, 135, 369, 125, 711, 2509, 131, 13663, 29769, 19497, 116779}},
-{6263, 17, 4519, {1, 1, 7, 15, 23, 25, 7, 225, 435, 835, 1981, 2537, 5727, 15961, 30089, 58905, 100339}},
-{6264, 17, 4520, {1, 3, 7, 3, 19, 9, 79, 63, 371, 419, 1357, 3649, 7987, 14541, 6631, 50555, 84217}},
-{6265, 17, 4525, {1, 3, 3, 9, 7, 61, 11, 157, 99, 95, 945, 2803, 1703, 117, 12891, 21817, 84259}},
-{6266, 17, 4526, {1, 3, 7, 7, 25, 37, 111, 99, 65, 599, 1313, 2557, 5489, 3625, 7429, 19309, 78111}},
-{6267, 17, 4533, {1, 3, 1, 1, 19, 15, 85, 253, 347, 315, 1349, 983, 2507, 4155, 15311, 43535, 101409}},
-{6268, 17, 4552, {1, 3, 3, 3, 1, 55, 3, 57, 375, 107, 177, 1673, 6871, 7137, 10297, 65363, 42293}},
-{6269, 17, 4581, {1, 1, 1, 3, 9, 5, 83, 45, 139, 893, 63, 2859, 6333, 15591, 18491, 26387, 25573}},
-{6270, 17, 4585, {1, 1, 7, 15, 1, 39, 113, 127, 503, 617, 1367, 1855, 185, 4233, 5787, 8265, 42097}},
-{6271, 17, 4591, {1, 1, 3, 11, 11, 41, 119, 165, 331, 625, 81, 2495, 7247, 9139, 15269, 31447, 128425}},
-{6272, 17, 4594, {1, 1, 5, 5, 17, 35, 39, 1, 91, 563, 1841, 2975, 1233, 3837, 22145, 36719, 104503}},
-{6273, 17, 4596, {1, 1, 7, 3, 23, 35, 77, 69, 271, 487, 921, 2597, 8011, 13037, 6001, 20519, 32673}},
-{6274, 17, 4599, {1, 1, 1, 1, 29, 17, 11, 145, 473, 877, 813, 727, 6805, 3563, 13371, 22169, 17239}},
-{6275, 17, 4612, {1, 1, 1, 13, 17, 13, 1, 125, 313, 423, 1079, 2401, 2325, 2219, 24071, 25613, 34163}},
-{6276, 17, 4621, {1, 1, 5, 7, 29, 33, 53, 215, 11, 555, 555, 1965, 3643, 5433, 12923, 59655, 25339}},
-{6277, 17, 4630, {1, 3, 3, 3, 23, 37, 119, 117, 459, 359, 1849, 1019, 433, 15391, 5625, 52649, 81313}},
-{6278, 17, 4636, {1, 3, 3, 1, 21, 31, 121, 161, 113, 667, 863, 105, 3805, 14459, 28235, 24543, 89755}},
-{6279, 17, 4640, {1, 1, 5, 15, 17, 37, 15, 111, 511, 477, 611, 955, 2591, 16137, 14179, 30995, 129575}},
-{6280, 17, 4649, {1, 3, 3, 3, 21, 49, 25, 37, 287, 263, 851, 1015, 8133, 9429, 10959, 64483, 82533}},
-{6281, 17, 4650, {1, 1, 5, 1, 25, 19, 49, 159, 155, 443, 975, 1413, 321, 7871, 22935, 57303, 124027}},
-{6282, 17, 4660, {1, 3, 1, 1, 19, 45, 47, 89, 409, 509, 1249, 2445, 2053, 3781, 7517, 61869, 125137}},
-{6283, 17, 4677, {1, 1, 5, 13, 27, 57, 45, 43, 361, 329, 1321, 771, 4665, 12245, 18993, 15121, 127485}},
-{6284, 17, 4687, {1, 3, 3, 7, 3, 41, 127, 75, 485, 821, 497, 2649, 6423, 12419, 31421, 9441, 63645}},
-{6285, 17, 4696, {1, 1, 3, 5, 19, 61, 91, 35, 311, 287, 449, 3955, 5805, 5631, 25613, 55409, 104545}},
-{6286, 17, 4701, {1, 3, 7, 11, 27, 19, 27, 53, 19, 35, 1687, 3923, 3379, 10435, 15053, 12343, 89077}},
-{6287, 17, 4705, {1, 3, 5, 13, 31, 41, 15, 239, 349, 533, 1771, 737, 6503, 14355, 18781, 27805, 79049}},
-{6288, 17, 4706, {1, 3, 1, 3, 13, 11, 69, 227, 169, 873, 533, 2217, 1047, 12415, 12271, 22447, 14163}},
-{6289, 17, 4711, {1, 1, 3, 9, 7, 31, 23, 155, 133, 305, 1569, 521, 201, 10339, 16999, 29163, 32817}},
-{6290, 17, 4720, {1, 1, 1, 5, 31, 57, 43, 223, 121, 803, 357, 1855, 4321, 10245, 25725, 2543, 47395}},
-{6291, 17, 4723, {1, 3, 5, 9, 3, 5, 47, 189, 217, 899, 1455, 691, 1277, 7861, 3627, 14895, 41109}},
-{6292, 17, 4732, {1, 3, 7, 3, 29, 9, 37, 63, 453, 709, 921, 771, 8069, 239, 22639, 59937, 10635}},
-{6293, 17, 4736, {1, 3, 7, 1, 11, 51, 79, 131, 225, 757, 549, 1605, 3921, 1849, 16307, 29809, 120597}},
-{6294, 17, 4742, {1, 3, 7, 7, 1, 45, 33, 185, 23, 881, 1941, 4093, 4741, 11633, 2059, 32007, 11103}},
-{6295, 17, 4748, {1, 3, 5, 11, 17, 21, 43, 205, 363, 559, 697, 4057, 631, 6697, 883, 61705, 102791}},
-{6296, 17, 4754, {1, 1, 7, 9, 29, 35, 109, 85, 373, 321, 415, 2969, 6163, 6999, 9999, 36435, 125267}},
-{6297, 17, 4759, {1, 1, 7, 11, 25, 9, 113, 91, 337, 889, 947, 2093, 5289, 1367, 13297, 36155, 21825}},
-{6298, 17, 4769, {1, 1, 3, 9, 17, 25, 35, 79, 275, 687, 335, 1181, 7327, 3729, 1561, 27441, 114355}},
-{6299, 17, 4787, {1, 3, 3, 11, 25, 41, 27, 89, 115, 361, 871, 1497, 5735, 6365, 1737, 14277, 63847}},
-{6300, 17, 4807, {1, 3, 7, 7, 1, 63, 31, 73, 289, 67, 277, 1821, 4883, 10795, 11755, 15471, 105871}},
-{6301, 17, 4814, {1, 3, 7, 9, 23, 17, 37, 179, 409, 957, 373, 2393, 2363, 6735, 28737, 41927, 115735}},
-{6302, 17, 4837, {1, 1, 3, 9, 15, 43, 111, 61, 455, 181, 1643, 3063, 4311, 13705, 29993, 21731, 25243}},
-{6303, 17, 4867, {1, 1, 1, 15, 13, 13, 69, 187, 91, 395, 209, 3477, 4649, 7727, 30557, 14719, 1953}},
-{6304, 17, 4873, {1, 1, 1, 15, 9, 39, 119, 193, 459, 135, 567, 25, 4583, 8401, 22161, 14771, 74165}},
-{6305, 17, 4879, {1, 1, 3, 7, 5, 39, 77, 149, 293, 585, 1245, 3615, 357, 11613, 13865, 40227, 41023}},
-{6306, 17, 4884, {1, 1, 7, 9, 9, 37, 5, 177, 121, 181, 771, 733, 7683, 4855, 13629, 8349, 46137}},
-{6307, 17, 4898, {1, 1, 3, 13, 3, 37, 73, 69, 281, 109, 563, 1427, 5127, 8957, 16749, 41489, 49531}},
-{6308, 17, 4907, {1, 1, 7, 11, 29, 63, 79, 127, 95, 809, 1175, 1567, 6353, 7505, 26551, 5073, 53733}},
-{6309, 17, 4910, {1, 1, 1, 5, 25, 41, 59, 103, 59, 365, 1111, 3909, 3749, 14889, 3639, 10435, 45407}},
-{6310, 17, 4918, {1, 1, 1, 5, 3, 61, 93, 199, 97, 779, 67, 241, 6197, 6785, 16869, 7573, 46745}},
-{6311, 17, 4924, {1, 1, 5, 9, 27, 29, 21, 69, 165, 661, 1245, 1265, 2979, 9685, 17781, 23329, 48029}},
-{6312, 17, 4953, {1, 1, 1, 7, 7, 23, 39, 197, 169, 561, 499, 2197, 4371, 157, 6837, 44635, 94861}},
-{6313, 17, 4956, {1, 1, 5, 13, 7, 5, 9, 207, 321, 243, 899, 2967, 3553, 15413, 8961, 55039, 6459}},
-{6314, 17, 4965, {1, 3, 5, 3, 13, 25, 33, 145, 45, 979, 33, 2211, 7003, 11147, 11327, 55151, 30697}},
-{6315, 17, 4966, {1, 1, 3, 13, 7, 51, 25, 229, 231, 115, 1815, 3867, 1533, 15259, 8067, 64803, 87535}},
-{6316, 17, 4970, {1, 1, 3, 3, 21, 51, 101, 49, 227, 393, 1659, 955, 545, 7395, 31563, 5499, 130541}},
-{6317, 17, 4972, {1, 3, 1, 1, 21, 41, 57, 161, 269, 35, 893, 1817, 857, 7027, 973, 12529, 46659}},
-{6318, 17, 4983, {1, 1, 3, 7, 17, 35, 23, 29, 335, 725, 453, 1051, 6019, 7595, 29451, 1853, 116615}},
-{6319, 17, 4989, {1, 3, 3, 1, 3, 55, 73, 187, 213, 329, 997, 703, 5829, 7903, 1081, 33359, 119123}},
-{6320, 17, 4994, {1, 3, 3, 15, 29, 55, 15, 17, 245, 117, 1735, 767, 4457, 8803, 17621, 26925, 72487}},
-{6321, 17, 5000, {1, 3, 5, 3, 25, 7, 119, 139, 159, 199, 317, 3875, 8115, 7581, 29239, 50225, 48459}},
-{6322, 17, 5005, {1, 3, 7, 11, 11, 41, 107, 225, 395, 545, 259, 2379, 6709, 11669, 14545, 43663, 69979}},
-{6323, 17, 5014, {1, 3, 5, 13, 23, 45, 73, 137, 447, 305, 117, 2659, 7989, 233, 31991, 60495, 571}},
-{6324, 17, 5018, {1, 3, 7, 9, 1, 37, 31, 1, 433, 701, 159, 3811, 4529, 6697, 7121, 31107, 61555}},
-{6325, 17, 5023, {1, 3, 5, 5, 13, 21, 81, 63, 95, 741, 1189, 1567, 1223, 12371, 28435, 10537, 53785}},
-{6326, 17, 5039, {1, 1, 1, 11, 17, 31, 67, 121, 281, 593, 561, 1759, 387, 9639, 28595, 22473, 4935}},
-{6327, 17, 5053, {1, 3, 7, 3, 5, 43, 59, 151, 351, 263, 297, 423, 1681, 3785, 15171, 7145, 57531}},
-{6328, 17, 5054, {1, 3, 7, 15, 9, 35, 105, 189, 261, 175, 1669, 1289, 5401, 12801, 19585, 48169, 93195}},
-{6329, 17, 5061, {1, 1, 7, 1, 31, 41, 23, 237, 151, 549, 1079, 2933, 5509, 15593, 1791, 15757, 44607}},
-{6330, 17, 5065, {1, 1, 1, 3, 29, 1, 59, 115, 13, 999, 1179, 3561, 2749, 10059, 12861, 6797, 11793}},
-{6331, 17, 5080, {1, 3, 3, 7, 11, 5, 23, 217, 101, 775, 1497, 4047, 2427, 5117, 9683, 28895, 27557}},
-{6332, 17, 5083, {1, 3, 7, 5, 31, 55, 99, 65, 55, 587, 1271, 2277, 7947, 12995, 13149, 4463, 37625}},
-{6333, 17, 5107, {1, 1, 7, 11, 3, 63, 23, 191, 125, 365, 1153, 2657, 6763, 4557, 21643, 26885, 36753}},
-{6334, 17, 5119, {1, 1, 1, 15, 25, 15, 111, 135, 507, 745, 1947, 2545, 4329, 14325, 8187, 52021, 63401}},
-{6335, 17, 5146, {1, 1, 3, 3, 27, 25, 19, 211, 393, 467, 1015, 2495, 7135, 495, 10385, 26961, 49325}},
-{6336, 17, 5151, {1, 1, 3, 5, 15, 35, 3, 203, 337, 337, 703, 1989, 6869, 6055, 21095, 4749, 125669}},
-{6337, 17, 5152, {1, 1, 5, 1, 31, 39, 57, 101, 419, 717, 1489, 199, 5729, 3003, 2607, 64593, 11515}},
-{6338, 17, 5155, {1, 3, 7, 13, 15, 3, 33, 61, 17, 433, 1097, 957, 5351, 3043, 3679, 44881, 126909}},
-{6339, 17, 5169, {1, 1, 3, 11, 5, 1, 121, 175, 119, 367, 399, 2527, 2157, 2667, 31069, 24797, 119621}},
-{6340, 17, 5170, {1, 3, 1, 7, 27, 47, 115, 229, 455, 775, 73, 837, 1181, 3457, 4057, 33907, 67151}},
-{6341, 17, 5176, {1, 3, 3, 1, 7, 51, 71, 177, 463, 921, 393, 3137, 1225, 5709, 303, 20597, 77581}},
-{6342, 17, 5179, {1, 3, 5, 3, 31, 1, 93, 53, 177, 433, 1471, 2191, 4471, 9211, 19397, 57727, 60367}},
-{6343, 17, 5182, {1, 1, 3, 11, 29, 55, 121, 89, 67, 869, 1631, 2657, 7357, 7159, 22449, 16357, 20077}},
-{6344, 17, 5189, {1, 3, 7, 15, 11, 39, 127, 63, 211, 359, 971, 1221, 1909, 9963, 7827, 60923, 98495}},
-{6345, 17, 5193, {1, 1, 7, 9, 23, 47, 47, 85, 307, 471, 1287, 3825, 5451, 15151, 15647, 63043, 92443}},
-{6346, 17, 5196, {1, 3, 7, 5, 19, 11, 11, 27, 307, 695, 99, 1037, 1997, 13673, 591, 8183, 82197}},
-{6347, 17, 5204, {1, 3, 5, 5, 3, 53, 109, 227, 503, 855, 1269, 3903, 5049, 10647, 21751, 58707, 78311}},
-{6348, 17, 5207, {1, 1, 3, 11, 31, 3, 51, 211, 285, 919, 487, 3393, 3463, 2271, 8053, 56791, 33763}},
-{6349, 17, 5211, {1, 3, 3, 5, 21, 15, 5, 5, 327, 809, 915, 1365, 7323, 4247, 31603, 26261, 80389}},
-{6350, 17, 5220, {1, 3, 7, 7, 15, 33, 31, 221, 291, 815, 1307, 929, 3249, 14573, 13613, 59509, 59741}},
-{6351, 17, 5258, {1, 3, 7, 15, 19, 41, 61, 27, 353, 965, 1901, 87, 2669, 12757, 29723, 47165, 16521}},
-{6352, 17, 5265, {1, 3, 5, 3, 11, 43, 97, 215, 361, 901, 1425, 4063, 5327, 14119, 457, 43145, 107401}},
-{6353, 17, 5271, {1, 1, 3, 15, 19, 37, 101, 69, 131, 927, 897, 477, 7641, 4299, 21213, 26017, 123801}},
-{6354, 17, 5277, {1, 3, 7, 7, 19, 5, 11, 51, 277, 985, 1071, 3437, 6595, 9547, 11855, 64249, 30957}},
-{6355, 17, 5278, {1, 1, 7, 9, 21, 41, 89, 113, 61, 235, 685, 1419, 7619, 9863, 21221, 28685, 53409}},
-{6356, 17, 5282, {1, 1, 1, 1, 27, 1, 19, 3, 473, 827, 269, 1659, 2621, 12347, 13359, 64687, 99293}},
-{6357, 17, 5296, {1, 3, 7, 7, 29, 37, 61, 49, 215, 883, 625, 2671, 3743, 4517, 2075, 64865, 58611}},
-{6358, 17, 5299, {1, 3, 3, 7, 15, 11, 35, 37, 255, 781, 613, 3587, 7643, 13081, 32467, 14427, 15235}},
-{6359, 17, 5319, {1, 1, 1, 11, 31, 47, 107, 65, 489, 377, 425, 3453, 2901, 9999, 7687, 13311, 103947}},
-{6360, 17, 5328, {1, 3, 3, 7, 9, 17, 7, 107, 33, 545, 407, 3335, 7563, 14315, 32725, 8483, 69093}},
-{6361, 17, 5343, {1, 1, 1, 5, 17, 9, 87, 229, 417, 769, 423, 569, 7073, 8705, 24487, 63743, 69807}},
-{6362, 17, 5353, {1, 3, 1, 9, 1, 29, 75, 25, 483, 259, 1941, 1533, 8147, 14127, 24087, 37475, 130961}},
-{6363, 17, 5364, {1, 3, 3, 11, 15, 15, 51, 45, 215, 283, 1687, 185, 4521, 12205, 13041, 33283, 77007}},
-{6364, 17, 5368, {1, 1, 3, 3, 5, 47, 107, 67, 325, 87, 1831, 2845, 1645, 1741, 10811, 8983, 58515}},
-{6365, 17, 5379, {1, 3, 1, 13, 19, 17, 1, 151, 411, 915, 1739, 3781, 4939, 15767, 25897, 7205, 17285}},
-{6366, 17, 5381, {1, 3, 5, 15, 19, 1, 125, 33, 321, 325, 639, 4013, 967, 4347, 19743, 13445, 61229}},
-{6367, 17, 5399, {1, 3, 3, 13, 13, 37, 71, 85, 51, 775, 973, 739, 4341, 15707, 12221, 24321, 48073}},
-{6368, 17, 5415, {1, 1, 7, 13, 15, 13, 9, 211, 331, 429, 1323, 3027, 1091, 13311, 289, 57789, 93261}},
-{6369, 17, 5422, {1, 1, 1, 1, 27, 7, 13, 27, 67, 573, 455, 2353, 113, 11831, 9069, 4503, 89291}},
-{6370, 17, 5441, {1, 1, 1, 7, 21, 63, 47, 39, 419, 991, 1623, 11, 3153, 12633, 9425, 65087, 44935}},
-{6371, 17, 5451, {1, 3, 1, 7, 23, 11, 15, 11, 99, 543, 1739, 3955, 5883, 12469, 7529, 14177, 1945}},
-{6372, 17, 5456, {1, 3, 1, 3, 5, 17, 31, 251, 387, 311, 725, 3827, 6835, 5065, 3141, 43441, 87955}},
-{6373, 17, 5462, {1, 1, 1, 11, 25, 7, 75, 135, 67, 589, 889, 3429, 155, 9081, 28653, 8059, 57251}},
-{6374, 17, 5490, {1, 3, 5, 15, 21, 15, 103, 149, 311, 407, 1391, 717, 1765, 14887, 14381, 37483, 29587}},
-{6375, 17, 5495, {1, 3, 5, 5, 19, 31, 93, 5, 507, 193, 1735, 3841, 7895, 9853, 10317, 14867, 49529}},
-{6376, 17, 5501, {1, 3, 7, 7, 19, 3, 99, 201, 479, 313, 693, 3435, 5453, 1157, 23127, 49005, 20167}},
-{6377, 17, 5502, {1, 3, 7, 9, 15, 21, 123, 41, 19, 281, 1837, 2589, 1003, 1993, 18345, 10039, 89325}},
-{6378, 17, 5505, {1, 3, 5, 1, 19, 21, 77, 151, 145, 951, 2017, 609, 5847, 4475, 12439, 6357, 108277}},
-{6379, 17, 5512, {1, 1, 1, 9, 17, 21, 91, 91, 111, 951, 497, 1759, 503, 12787, 25117, 24323, 96447}},
-{6380, 17, 5523, {1, 1, 3, 11, 13, 9, 73, 205, 329, 243, 1187, 829, 2821, 5563, 14391, 771, 116441}},
-{6381, 17, 5529, {1, 1, 1, 1, 11, 57, 39, 221, 41, 521, 1541, 3515, 2367, 4179, 21039, 52943, 11627}},
-{6382, 17, 5548, {1, 3, 3, 3, 23, 13, 103, 125, 67, 217, 863, 3755, 213, 12657, 31399, 3771, 54107}},
-{6383, 17, 5551, {1, 3, 3, 7, 3, 9, 107, 217, 497, 935, 519, 3041, 323, 14895, 5695, 28789, 36085}},
-{6384, 17, 5553, {1, 1, 5, 11, 23, 33, 81, 23, 167, 3, 1683, 2279, 5365, 847, 14717, 9689, 64481}},
-{6385, 17, 5565, {1, 3, 1, 7, 1, 15, 107, 93, 429, 363, 1745, 1459, 5879, 8351, 17527, 44001, 70293}},
-{6386, 17, 5568, {1, 3, 3, 9, 27, 55, 125, 211, 141, 827, 1239, 663, 4803, 11067, 32039, 28091, 56421}},
-{6387, 17, 5577, {1, 3, 5, 5, 7, 13, 125, 231, 427, 483, 967, 549, 3105, 13919, 3017, 39207, 23253}},
-{6388, 17, 5578, {1, 3, 7, 3, 21, 29, 79, 67, 39, 451, 157, 337, 3585, 3621, 9545, 31205, 63201}},
-{6389, 17, 5583, {1, 3, 1, 1, 29, 25, 77, 57, 167, 899, 95, 2487, 3743, 5381, 3637, 56289, 39453}},
-{6390, 17, 5585, {1, 1, 1, 9, 29, 19, 41, 97, 75, 199, 1709, 483, 4099, 3113, 10953, 20659, 109273}},
-{6391, 17, 5588, {1, 3, 5, 15, 13, 9, 83, 43, 111, 789, 965, 4061, 1239, 14577, 10113, 26359, 52609}},
-{6392, 17, 5613, {1, 3, 5, 5, 11, 39, 113, 31, 457, 119, 725, 831, 4143, 5675, 27431, 12431, 94977}},
-{6393, 17, 5614, {1, 1, 3, 3, 25, 17, 93, 253, 307, 625, 143, 1061, 4415, 3563, 3313, 53527, 29537}},
-{6394, 17, 5616, {1, 3, 5, 3, 29, 41, 43, 109, 147, 919, 1675, 465, 6101, 12251, 28915, 15397, 85233}},
-{6395, 17, 5622, {1, 1, 1, 1, 31, 25, 59, 187, 439, 561, 559, 413, 1917, 9319, 27475, 49715, 32953}},
-{6396, 17, 5631, {1, 1, 7, 13, 23, 31, 95, 231, 141, 207, 1373, 2173, 2905, 169, 23825, 55071, 6147}},
-{6397, 17, 5637, {1, 1, 7, 13, 15, 39, 43, 117, 321, 297, 661, 2941, 7359, 11675, 15483, 24093, 7269}},
-{6398, 17, 5638, {1, 3, 3, 13, 9, 59, 51, 49, 81, 563, 745, 1843, 295, 4689, 19847, 42137, 63197}},
-{6399, 17, 5668, {1, 3, 1, 9, 5, 33, 21, 199, 509, 927, 1777, 1349, 3593, 1065, 24943, 55667, 73539}},
-{6400, 17, 5675, {1, 3, 1, 11, 17, 15, 91, 21, 59, 587, 1207, 543, 6669, 10861, 24755, 1789, 91249}},
-{6401, 17, 5683, {1, 3, 7, 15, 13, 47, 57, 147, 381, 1021, 921, 1347, 3847, 5969, 9075, 39081, 127241}},
-{6402, 17, 5695, {1, 3, 3, 15, 19, 15, 1, 97, 203, 409, 1745, 1217, 2199, 7945, 24361, 41771, 123127}},
-{6403, 17, 5703, {1, 3, 3, 5, 17, 17, 43, 255, 179, 717, 1993, 645, 6527, 1533, 32719, 27481, 122425}},
-{6404, 17, 5710, {1, 3, 5, 9, 13, 59, 15, 157, 373, 937, 27, 3325, 2297, 89, 10861, 48615, 16083}},
-{6405, 17, 5715, {1, 3, 1, 3, 19, 27, 109, 243, 189, 17, 99, 1879, 695, 11329, 12467, 6053, 41749}},
-{6406, 17, 5727, {1, 1, 5, 5, 23, 41, 103, 69, 171, 917, 1303, 2101, 617, 10017, 26525, 11009, 66137}},
-{6407, 17, 5738, {1, 1, 1, 9, 21, 45, 47, 171, 455, 257, 411, 4021, 6995, 12881, 4793, 51193, 60775}},
-{6408, 17, 5752, {1, 3, 7, 5, 25, 31, 89, 53, 321, 593, 1795, 2435, 3833, 2767, 17241, 63373, 25457}},
-{6409, 17, 5767, {1, 3, 1, 1, 3, 45, 19, 255, 179, 991, 1407, 3683, 1435, 6803, 12215, 12835, 2005}},
-{6410, 17, 5773, {1, 3, 7, 3, 17, 5, 117, 251, 71, 983, 1391, 3499, 5119, 7257, 7325, 16565, 6321}},
-{6411, 17, 5776, {1, 3, 5, 7, 5, 49, 47, 201, 297, 485, 1879, 2205, 4903, 13619, 22537, 5479, 121625}},
-{6412, 17, 5781, {1, 1, 3, 5, 27, 27, 87, 61, 145, 943, 343, 1639, 6307, 4549, 20765, 33479, 113697}},
-{6413, 17, 5791, {1, 1, 3, 9, 17, 5, 101, 129, 305, 653, 1901, 3901, 6361, 2369, 7449, 55259, 75215}},
-{6414, 17, 5792, {1, 1, 7, 5, 31, 45, 117, 55, 335, 827, 1309, 2603, 2111, 11005, 14747, 56999, 97373}},
-{6415, 17, 5795, {1, 1, 7, 11, 29, 29, 81, 175, 169, 453, 293, 2589, 1057, 15795, 32397, 65433, 79455}},
-{6416, 17, 5798, {1, 1, 1, 5, 11, 7, 13, 249, 29, 407, 1289, 2385, 8113, 15327, 4029, 32005, 105901}},
-{6417, 17, 5801, {1, 1, 5, 5, 7, 61, 103, 141, 109, 391, 631, 821, 1479, 14771, 25057, 1415, 8081}},
-{6418, 17, 5810, {1, 3, 1, 1, 9, 37, 17, 231, 501, 745, 1695, 45, 7797, 2945, 5529, 34747, 39069}},
-{6419, 17, 5812, {1, 1, 7, 9, 21, 59, 103, 103, 33, 875, 723, 3477, 4729, 7311, 29979, 60901, 72187}},
-{6420, 17, 5836, {1, 3, 3, 3, 15, 63, 93, 237, 203, 635, 1189, 2035, 6499, 9943, 9133, 62977, 29657}},
-{6421, 17, 5839, {1, 1, 1, 9, 3, 11, 63, 207, 95, 563, 775, 3009, 7125, 13141, 4489, 16343, 120951}},
-{6422, 17, 5841, {1, 1, 3, 1, 21, 57, 15, 217, 185, 305, 463, 1597, 6529, 4989, 14011, 11265, 131031}},
-{6423, 17, 5867, {1, 3, 5, 15, 17, 61, 35, 127, 411, 579, 1349, 615, 3293, 8475, 9773, 30635, 117639}},
-{6424, 17, 5870, {1, 1, 7, 9, 11, 3, 55, 105, 305, 223, 1899, 2217, 1261, 9831, 23693, 3013, 30489}},
-{6425, 17, 5877, {1, 3, 7, 15, 15, 29, 1, 99, 67, 293, 499, 1941, 5303, 1329, 24547, 14065, 7927}},
-{6426, 17, 5881, {1, 1, 5, 11, 17, 55, 71, 49, 499, 435, 985, 2803, 6139, 1503, 24167, 47181, 102529}},
-{6427, 17, 5899, {1, 3, 5, 1, 19, 53, 71, 17, 63, 469, 1871, 2051, 357, 11661, 5689, 36373, 13379}},
-{6428, 17, 5914, {1, 1, 5, 1, 27, 47, 23, 247, 59, 381, 1895, 2453, 3665, 5487, 24081, 50501, 91659}},
-{6429, 17, 5925, {1, 1, 5, 7, 29, 19, 3, 33, 83, 301, 133, 3603, 5133, 16171, 22905, 36271, 10405}},
-{6430, 17, 5929, {1, 3, 7, 9, 11, 23, 57, 87, 9, 731, 631, 3703, 2593, 12851, 7115, 8801, 108919}},
-{6431, 17, 5943, {1, 3, 3, 3, 23, 35, 33, 99, 343, 837, 231, 3921, 6975, 15093, 15049, 64623, 123523}},
-{6432, 17, 5949, {1, 1, 7, 11, 15, 61, 113, 103, 501, 57, 1345, 3155, 2965, 4433, 10605, 43765, 42169}},
-{6433, 17, 5962, {1, 1, 7, 13, 7, 53, 91, 121, 229, 127, 103, 833, 7829, 1571, 10847, 20861, 101155}},
-{6434, 17, 5969, {1, 3, 7, 1, 9, 25, 71, 103, 37, 473, 1133, 1129, 1651, 6965, 6937, 16597, 20439}},
-{6435, 17, 5976, {1, 1, 5, 9, 1, 9, 47, 131, 285, 967, 1869, 1075, 8127, 135, 15575, 38569, 123729}},
-{6436, 17, 5988, {1, 1, 7, 9, 5, 31, 33, 227, 347, 41, 2025, 3755, 857, 7805, 13121, 38307, 125825}},
-{6437, 17, 5997, {1, 3, 5, 7, 11, 11, 19, 55, 23, 627, 1477, 3093, 2779, 7653, 7165, 23053, 76123}},
-{6438, 17, 6006, {1, 1, 3, 1, 3, 47, 83, 89, 177, 381, 1247, 141, 7051, 6443, 27369, 34323, 43063}},
-{6439, 17, 6010, {1, 1, 7, 7, 13, 15, 55, 223, 351, 525, 1051, 3009, 5443, 11499, 8335, 37949, 69149}},
-{6440, 17, 6016, {1, 1, 1, 3, 13, 61, 89, 33, 129, 921, 1905, 201, 3141, 5531, 135, 34103, 56883}},
-{6441, 17, 6022, {1, 1, 5, 13, 17, 27, 13, 163, 169, 471, 1263, 1421, 7015, 7927, 21027, 58001, 26739}},
-{6442, 17, 6026, {1, 1, 1, 15, 19, 49, 109, 207, 245, 49, 1271, 3635, 2561, 5091, 24415, 59195, 67701}},
-{6443, 17, 6031, {1, 3, 5, 7, 27, 57, 99, 155, 461, 595, 1859, 1727, 857, 4993, 31733, 42141, 10035}},
-{6444, 17, 6040, {1, 1, 1, 15, 11, 11, 85, 9, 251, 375, 155, 379, 7501, 12559, 32583, 36317, 4675}},
-{6445, 17, 6043, {1, 1, 5, 13, 19, 57, 81, 69, 201, 293, 593, 3169, 4519, 9057, 16685, 12847, 123797}},
-{6446, 17, 6050, {1, 3, 1, 5, 5, 1, 19, 243, 345, 661, 561, 3549, 2541, 5887, 25879, 41467, 72799}},
-{6447, 17, 6059, {1, 1, 5, 13, 15, 51, 67, 61, 79, 89, 447, 1471, 4915, 10637, 10901, 48157, 103545}},
-{6448, 17, 6079, {1, 3, 5, 13, 31, 25, 73, 129, 435, 659, 1851, 3595, 753, 7717, 10927, 30115, 109221}},
-{6449, 17, 6099, {1, 1, 1, 3, 25, 3, 121, 43, 349, 205, 1209, 2671, 6445, 8755, 7171, 58631, 74319}},
-{6450, 17, 6101, {1, 1, 3, 1, 11, 15, 83, 37, 483, 65, 759, 1835, 3883, 1693, 30051, 61077, 1187}},
-{6451, 17, 6105, {1, 3, 7, 15, 29, 23, 85, 77, 139, 903, 1821, 943, 6453, 1523, 18539, 49039, 110787}},
-{6452, 17, 6108, {1, 1, 7, 15, 15, 17, 69, 253, 507, 921, 523, 79, 747, 4011, 25795, 42029, 88309}},
-{6453, 17, 6124, {1, 1, 7, 3, 25, 47, 119, 83, 313, 45, 985, 145, 205, 3407, 9013, 64517, 115811}},
-{6454, 17, 6132, {1, 1, 7, 1, 29, 21, 9, 123, 97, 545, 1987, 2979, 6901, 12667, 23325, 63635, 70593}},
-{6455, 17, 6145, {1, 3, 7, 3, 23, 45, 81, 255, 41, 29, 1493, 4065, 3201, 10479, 17193, 39999, 55493}},
-{6456, 17, 6146, {1, 3, 1, 3, 9, 43, 43, 135, 235, 603, 481, 3139, 2729, 14759, 7269, 7995, 110351}},
-{6457, 17, 6151, {1, 3, 1, 11, 17, 35, 113, 93, 417, 967, 755, 659, 3115, 16163, 22997, 38205, 126961}},
-{6458, 17, 6152, {1, 1, 7, 11, 29, 57, 81, 235, 93, 869, 475, 825, 6269, 15819, 14977, 53057, 116021}},
-{6459, 17, 6158, {1, 1, 7, 13, 5, 61, 5, 241, 245, 673, 1651, 3367, 2355, 713, 20107, 30133, 735}},
-{6460, 17, 6160, {1, 1, 5, 9, 21, 3, 121, 241, 129, 703, 1435, 1943, 5087, 13123, 30023, 58287, 50377}},
-{6461, 17, 6163, {1, 1, 1, 15, 23, 27, 67, 197, 123, 629, 169, 3303, 1679, 11051, 16875, 28055, 12379}},
-{6462, 17, 6165, {1, 1, 3, 3, 7, 63, 97, 43, 89, 739, 779, 2893, 7763, 6351, 26135, 44647, 127987}},
-{6463, 17, 6170, {1, 3, 3, 9, 31, 59, 95, 131, 131, 321, 1125, 127, 4865, 145, 26237, 47871, 114549}},
-{6464, 17, 6182, {1, 3, 3, 13, 21, 3, 33, 17, 445, 693, 1599, 2517, 1679, 2237, 15053, 30983, 106755}},
-{6465, 17, 6196, {1, 1, 5, 13, 31, 37, 49, 67, 403, 27, 575, 1795, 3385, 1067, 585, 60277, 123189}},
-{6466, 17, 6199, {1, 3, 1, 15, 13, 35, 23, 247, 493, 305, 363, 451, 4011, 3679, 18281, 31751, 127933}},
-{6467, 17, 6200, {1, 1, 7, 5, 21, 45, 123, 253, 469, 267, 985, 2349, 3427, 7653, 25685, 13747, 531}},
-{6468, 17, 6205, {1, 1, 5, 11, 7, 59, 105, 209, 27, 847, 593, 3775, 6165, 1655, 29867, 28465, 92193}},
-{6469, 17, 6226, {1, 3, 1, 11, 7, 25, 101, 81, 233, 311, 9, 2735, 3951, 485, 10105, 24489, 649}},
-{6470, 17, 6228, {1, 3, 1, 7, 27, 5, 115, 243, 295, 659, 215, 1787, 5131, 2513, 29201, 21195, 103383}},
-{6471, 17, 6237, {1, 3, 5, 13, 29, 21, 7, 57, 345, 467, 1297, 207, 5115, 335, 6153, 32959, 125697}},
-{6472, 17, 6247, {1, 1, 1, 9, 3, 63, 63, 5, 373, 123, 1265, 2365, 1623, 1561, 14805, 17487, 104787}},
-{6473, 17, 6251, {1, 3, 1, 5, 15, 13, 55, 69, 251, 341, 463, 2611, 4793, 12157, 4669, 11613, 128705}},
-{6474, 17, 6253, {1, 3, 7, 13, 19, 7, 93, 149, 453, 693, 1731, 861, 6971, 943, 18891, 56547, 34411}},
-{6475, 17, 6256, {1, 1, 7, 1, 27, 49, 27, 9, 281, 121, 581, 393, 2583, 1159, 26989, 39955, 100765}},
-{6476, 17, 6268, {1, 1, 3, 9, 3, 43, 97, 207, 311, 617, 1987, 2559, 2101, 15791, 30085, 40713, 41909}},
-{6477, 17, 6272, {1, 3, 1, 3, 15, 19, 53, 183, 375, 867, 397, 3203, 4207, 5381, 25065, 60357, 88739}},
-{6478, 17, 6275, {1, 3, 3, 3, 27, 51, 85, 231, 19, 559, 567, 4049, 4875, 14201, 11623, 39763, 57339}},
-{6479, 17, 6281, {1, 1, 5, 1, 19, 7, 81, 249, 41, 789, 985, 3725, 4053, 4255, 9861, 1609, 29511}},
-{6480, 17, 6289, {1, 3, 5, 5, 21, 13, 49, 41, 367, 283, 1161, 2753, 4733, 3691, 27931, 53055, 83625}},
-{6481, 17, 6335, {1, 3, 5, 11, 29, 47, 95, 51, 265, 85, 385, 833, 7957, 14985, 7017, 41937, 41377}},
-{6482, 17, 6338, {1, 1, 7, 5, 1, 23, 17, 191, 185, 323, 515, 3183, 7685, 7361, 21143, 5227, 110297}},
-{6483, 17, 6355, {1, 3, 3, 7, 11, 39, 31, 97, 237, 497, 1649, 3529, 6153, 5055, 29021, 35125, 121581}},
-{6484, 17, 6362, {1, 3, 5, 3, 17, 47, 105, 75, 55, 343, 595, 2447, 5575, 10673, 32015, 37541, 127867}},
-{6485, 17, 6373, {1, 3, 1, 7, 19, 39, 31, 135, 167, 979, 219, 1353, 489, 9667, 27107, 55565, 72291}},
-{6486, 17, 6386, {1, 1, 3, 13, 31, 49, 87, 93, 235, 577, 1551, 2663, 387, 1129, 26683, 31285, 15913}},
-{6487, 17, 6388, {1, 3, 3, 7, 15, 29, 61, 33, 115, 511, 1781, 2029, 4265, 6745, 1467, 34415, 40907}},
-{6488, 17, 6391, {1, 1, 7, 5, 1, 55, 13, 129, 167, 937, 79, 2047, 3589, 1979, 4153, 15229, 85745}},
-{6489, 17, 6397, {1, 1, 7, 15, 15, 25, 89, 129, 31, 435, 1359, 49, 2659, 2829, 8741, 25215, 4239}},
-{6490, 17, 6405, {1, 3, 5, 3, 11, 39, 95, 239, 187, 615, 1481, 3509, 1133, 13497, 24833, 59635, 45695}},
-{6491, 17, 6406, {1, 1, 5, 3, 19, 17, 17, 235, 315, 943, 883, 1381, 7129, 15709, 9847, 41183, 116071}},
-{6492, 17, 6410, {1, 1, 1, 3, 9, 63, 109, 209, 309, 1015, 1391, 2617, 1481, 6483, 4151, 28063, 49887}},
-{6493, 17, 6417, {1, 1, 5, 13, 23, 37, 31, 89, 501, 461, 41, 931, 7863, 15499, 25635, 16995, 41651}},
-{6494, 17, 6443, {1, 1, 1, 9, 29, 29, 125, 161, 219, 439, 1465, 1615, 7483, 7497, 1121, 49693, 30269}},
-{6495, 17, 6457, {1, 3, 1, 5, 7, 43, 27, 161, 431, 375, 419, 2995, 527, 8207, 747, 18491, 15351}},
-{6496, 17, 6468, {1, 1, 3, 13, 25, 21, 67, 177, 9, 453, 1171, 65, 2845, 16147, 12699, 30905, 122255}},
-{6497, 17, 6475, {1, 3, 1, 5, 29, 47, 77, 251, 473, 385, 947, 3239, 5375, 13617, 10639, 36005, 95821}},
-{6498, 17, 6486, {1, 3, 1, 15, 13, 1, 75, 223, 509, 19, 175, 1541, 637, 5711, 1097, 44901, 35277}},
-{6499, 17, 6489, {1, 3, 3, 7, 3, 27, 17, 151, 39, 583, 391, 2739, 7339, 2051, 17005, 49573, 85969}},
-{6500, 17, 6495, {1, 3, 1, 11, 3, 25, 119, 125, 17, 629, 201, 2347, 2923, 1273, 14871, 58299, 97667}},
-{6501, 17, 6499, {1, 1, 7, 1, 31, 39, 11, 121, 339, 667, 1863, 3479, 1895, 11319, 5683, 64969, 9261}},
-{6502, 17, 6505, {1, 1, 5, 9, 27, 61, 101, 221, 221, 583, 287, 707, 5931, 4225, 29537, 46097, 114361}},
-{6503, 17, 6511, {1, 1, 1, 9, 23, 47, 1, 35, 85, 1021, 151, 3153, 3867, 971, 31573, 4745, 107639}},
-{6504, 17, 6520, {1, 1, 7, 13, 15, 15, 63, 37, 291, 907, 411, 1571, 6415, 7443, 26635, 27945, 130909}},
-{6505, 17, 6529, {1, 3, 1, 9, 21, 13, 77, 147, 485, 107, 235, 481, 2389, 957, 11493, 53033, 46373}},
-{6506, 17, 6542, {1, 3, 5, 7, 3, 55, 125, 237, 205, 411, 1911, 4053, 5983, 15489, 29333, 44727, 62167}},
-{6507, 17, 6547, {1, 1, 3, 3, 17, 3, 59, 239, 209, 495, 447, 3427, 3425, 2347, 10057, 26147, 52243}},
-{6508, 17, 6550, {1, 1, 3, 1, 11, 31, 3, 139, 441, 997, 295, 1267, 2181, 6047, 32419, 62657, 24921}},
-{6509, 17, 6554, {1, 3, 7, 15, 5, 3, 11, 9, 211, 701, 1987, 2611, 6195, 14379, 22919, 15785, 52149}},
-{6510, 17, 6556, {1, 1, 7, 9, 7, 27, 35, 253, 343, 679, 103, 1217, 3983, 8677, 17671, 41347, 89355}},
-{6511, 17, 6560, {1, 1, 1, 5, 7, 55, 111, 115, 231, 999, 773, 2111, 3617, 2469, 16967, 60735, 24557}},
-{6512, 17, 6569, {1, 3, 5, 1, 29, 5, 77, 217, 131, 307, 473, 3595, 2713, 6503, 18459, 57245, 91897}},
-{6513, 17, 6572, {1, 3, 5, 13, 9, 33, 93, 31, 59, 343, 1337, 1971, 7593, 15629, 22693, 19885, 4139}},
-{6514, 17, 6590, {1, 3, 3, 3, 21, 33, 115, 205, 373, 587, 739, 669, 8065, 5339, 16507, 29455, 15863}},
-{6515, 17, 6592, {1, 3, 5, 11, 9, 43, 45, 41, 91, 87, 19, 1523, 5059, 9403, 6739, 36893, 6395}},
-{6516, 17, 6601, {1, 1, 5, 15, 19, 43, 81, 3, 401, 621, 1839, 1443, 179, 8085, 27021, 7757, 95011}},
-{6517, 17, 6610, {1, 3, 5, 15, 19, 21, 45, 167, 77, 977, 309, 431, 3437, 8327, 12895, 50521, 68473}},
-{6518, 17, 6632, {1, 3, 3, 15, 7, 21, 49, 169, 327, 271, 7, 785, 1767, 14747, 7083, 65223, 24213}},
-{6519, 17, 6635, {1, 1, 5, 9, 9, 51, 101, 197, 507, 839, 1413, 3131, 331, 15725, 32293, 60433, 86759}},
-{6520, 17, 6640, {1, 1, 7, 1, 17, 39, 127, 201, 341, 607, 1565, 1615, 1367, 16043, 28265, 29139, 63813}},
-{6521, 17, 6643, {1, 3, 5, 7, 9, 1, 107, 73, 121, 649, 1385, 3203, 2897, 8479, 28519, 34041, 1359}},
-{6522, 17, 6649, {1, 1, 7, 7, 21, 55, 19, 13, 415, 647, 2015, 107, 4167, 5033, 16849, 41407, 94387}},
-{6523, 17, 6659, {1, 3, 5, 13, 31, 27, 107, 95, 425, 679, 55, 3521, 6737, 11459, 19995, 64189, 44323}},
-{6524, 17, 6662, {1, 1, 3, 9, 17, 47, 29, 167, 17, 63, 5, 2505, 6483, 14089, 7127, 7907, 68555}},
-{6525, 17, 6666, {1, 1, 5, 3, 29, 3, 87, 107, 227, 893, 1821, 341, 5481, 13317, 10637, 8611, 28625}},
-{6526, 17, 6690, {1, 1, 1, 13, 11, 19, 59, 157, 397, 103, 1821, 3913, 3083, 6053, 1015, 25475, 94813}},
-{6527, 17, 6692, {1, 3, 1, 3, 15, 45, 1, 209, 335, 1015, 539, 2959, 1711, 2567, 30169, 147, 25383}},
-{6528, 17, 6704, {1, 3, 7, 1, 17, 5, 99, 121, 91, 531, 865, 1667, 5615, 4729, 7473, 21445, 37925}},
-{6529, 17, 6713, {1, 1, 7, 13, 3, 51, 27, 115, 439, 761, 1121, 1503, 3047, 2127, 29253, 48147, 10813}},
-{6530, 17, 6728, {1, 3, 7, 15, 1, 51, 33, 161, 509, 159, 1705, 3365, 7953, 14027, 3873, 29609, 33101}},
-{6531, 17, 6731, {1, 1, 5, 15, 15, 53, 119, 115, 433, 75, 497, 1259, 1681, 7715, 24767, 34647, 82007}},
-{6532, 17, 6734, {1, 1, 5, 3, 27, 63, 41, 181, 393, 439, 95, 2765, 7617, 817, 1311, 18595, 16921}},
-{6533, 17, 6746, {1, 3, 1, 15, 31, 7, 57, 89, 371, 745, 475, 3211, 6893, 10681, 18547, 28373, 127787}},
-{6534, 17, 6755, {1, 3, 5, 13, 5, 55, 45, 167, 147, 833, 765, 1153, 4037, 8503, 10751, 49541, 77489}},
-{6535, 17, 6757, {1, 3, 1, 11, 11, 7, 45, 167, 431, 759, 1035, 1367, 1649, 11711, 4915, 58915, 72479}},
-{6536, 17, 6764, {1, 1, 5, 1, 11, 3, 15, 135, 427, 637, 879, 1667, 6139, 14759, 25665, 13083, 67961}},
-{6537, 17, 6772, {1, 3, 3, 9, 1, 3, 73, 167, 269, 51, 1481, 3659, 7863, 7187, 3951, 10711, 5909}},
-{6538, 17, 6792, {1, 1, 3, 3, 9, 53, 101, 209, 109, 691, 1641, 919, 1083, 6247, 23041, 44681, 130105}},
-{6539, 17, 6797, {1, 3, 7, 5, 21, 55, 127, 9, 437, 225, 1599, 2575, 5407, 8099, 20009, 40339, 110581}},
-{6540, 17, 6821, {1, 3, 3, 13, 7, 41, 15, 137, 363, 337, 995, 1215, 3651, 11011, 27209, 53927, 78065}},
-{6541, 17, 6822, {1, 1, 1, 7, 11, 17, 27, 9, 481, 79, 905, 1297, 811, 10221, 463, 12979, 114731}},
-{6542, 17, 6831, {1, 1, 3, 13, 7, 59, 105, 79, 253, 699, 139, 3823, 4939, 12955, 32069, 7255, 18159}},
-{6543, 17, 6834, {1, 3, 5, 7, 29, 7, 79, 79, 147, 921, 425, 1423, 5967, 6397, 17393, 30009, 84075}},
-{6544, 17, 6851, {1, 3, 7, 13, 23, 45, 51, 141, 237, 443, 1101, 309, 4533, 7479, 22415, 31517, 120407}},
-{6545, 17, 6858, {1, 1, 5, 13, 3, 19, 97, 185, 59, 179, 1343, 2537, 3165, 16295, 25005, 49769, 78007}},
-{6546, 17, 6860, {1, 3, 7, 15, 11, 53, 127, 195, 309, 121, 1741, 1415, 225, 15645, 16365, 38729, 70061}},
-{6547, 17, 6871, {1, 3, 7, 11, 29, 35, 47, 109, 179, 3, 849, 2305, 3035, 15289, 31569, 28851, 90057}},
-{6548, 17, 6875, {1, 1, 7, 1, 13, 27, 93, 119, 439, 45, 623, 1263, 6595, 6669, 12981, 64721, 130109}},
-{6549, 17, 6884, {1, 1, 7, 13, 5, 43, 43, 99, 395, 417, 795, 3991, 5601, 13115, 12803, 52247, 39245}},
-{6550, 17, 6888, {1, 3, 3, 3, 15, 61, 85, 91, 407, 391, 359, 3885, 1925, 4873, 169, 41727, 129471}},
-{6551, 17, 6894, {1, 3, 3, 9, 11, 47, 3, 33, 355, 853, 1329, 1347, 1995, 8197, 10015, 787, 66773}},
-{6552, 17, 6919, {1, 3, 3, 13, 31, 31, 49, 195, 55, 185, 1743, 3523, 1781, 8469, 7623, 55933, 74953}},
-{6553, 17, 6940, {1, 3, 5, 15, 29, 31, 5, 45, 149, 71, 2033, 3171, 4601, 9941, 15005, 55709, 74403}},
-{6554, 17, 6950, {1, 3, 5, 3, 1, 27, 105, 7, 139, 805, 1877, 915, 1843, 11897, 29485, 19275, 44711}},
-{6555, 17, 6959, {1, 1, 5, 7, 25, 57, 111, 57, 401, 935, 1685, 2985, 2015, 13501, 14581, 53579, 117011}},
-{6556, 17, 6968, {1, 1, 5, 11, 13, 47, 63, 137, 145, 77, 1727, 2629, 7377, 6311, 537, 13703, 129503}},
-{6557, 17, 6981, {1, 1, 7, 9, 5, 49, 67, 51, 163, 989, 845, 7, 2141, 14467, 3197, 57581, 121087}},
-{6558, 17, 6988, {1, 1, 5, 3, 31, 49, 57, 103, 171, 491, 1109, 1255, 4353, 11927, 29525, 16685, 48469}},
-{6559, 17, 6996, {1, 1, 1, 3, 7, 29, 17, 111, 339, 747, 763, 179, 7747, 2483, 18415, 45301, 25155}},
-{6560, 17, 6999, {1, 1, 7, 7, 1, 41, 71, 109, 401, 815, 1311, 3933, 1349, 13327, 20847, 44391, 49721}},
-{6561, 17, 7015, {1, 1, 1, 15, 27, 57, 39, 129, 391, 701, 619, 3925, 701, 403, 11821, 30517, 22035}},
-{6562, 17, 7019, {1, 1, 5, 11, 21, 49, 109, 101, 497, 417, 73, 2727, 2899, 2777, 22161, 35561, 70211}},
-{6563, 17, 7022, {1, 1, 3, 3, 15, 43, 1, 159, 41, 833, 55, 2415, 5009, 9663, 31295, 29397, 3187}},
-{6564, 17, 7040, {1, 1, 3, 7, 27, 5, 113, 187, 453, 753, 1649, 1605, 2405, 11791, 4239, 20915, 54033}},
-{6565, 17, 7045, {1, 3, 1, 11, 1, 57, 49, 229, 283, 113, 345, 785, 8009, 11977, 30169, 63787, 32011}},
-{6566, 17, 7049, {1, 1, 7, 3, 5, 59, 57, 91, 327, 685, 219, 1949, 3095, 8389, 2035, 11903, 73461}},
-{6567, 17, 7055, {1, 1, 3, 3, 19, 59, 19, 37, 453, 1, 1811, 3263, 1807, 16147, 24861, 14003, 31747}},
-{6568, 17, 7073, {1, 1, 3, 11, 1, 53, 93, 203, 429, 629, 1931, 1487, 3301, 8805, 4901, 2459, 98555}},
-{6569, 17, 7076, {1, 1, 7, 5, 21, 5, 37, 135, 159, 749, 1589, 2631, 8145, 7279, 28397, 47113, 82309}},
-{6570, 17, 7085, {1, 1, 5, 15, 25, 61, 19, 51, 217, 495, 109, 1179, 2743, 12107, 12509, 13003, 94375}},
-{6571, 17, 7091, {1, 3, 3, 15, 11, 7, 67, 165, 57, 925, 427, 2549, 7189, 5917, 13113, 30933, 62703}},
-{6572, 17, 7103, {1, 1, 5, 5, 9, 5, 43, 5, 485, 159, 757, 3979, 4963, 3389, 29731, 48477, 113429}},
-{6573, 17, 7112, {1, 3, 5, 1, 5, 5, 81, 163, 493, 357, 2005, 1093, 5951, 1045, 10569, 40321, 56881}},
-{6574, 17, 7117, {1, 3, 1, 5, 7, 29, 11, 7, 7, 13, 1641, 1031, 4025, 16337, 24333, 9589, 37779}},
-{6575, 17, 7118, {1, 3, 5, 11, 15, 3, 69, 19, 141, 79, 749, 391, 4505, 6939, 3079, 3647, 22363}},
-{6576, 17, 7123, {1, 3, 3, 3, 29, 3, 7, 189, 183, 513, 1225, 239, 4203, 9197, 23507, 33089, 124433}},
-{6577, 17, 7126, {1, 3, 3, 13, 27, 37, 81, 221, 287, 891, 1197, 3501, 539, 2053, 20509, 48635, 50269}},
-{6578, 17, 7154, {1, 1, 5, 7, 13, 3, 35, 79, 3, 885, 343, 3527, 1043, 7197, 6973, 8515, 39315}},
-{6579, 17, 7180, {1, 3, 3, 9, 21, 53, 79, 225, 229, 759, 457, 293, 953, 12857, 20483, 3677, 93839}},
-{6580, 17, 7192, {1, 3, 5, 3, 5, 17, 45, 107, 153, 279, 761, 1923, 7013, 2989, 10137, 19107, 126897}},
-{6581, 17, 7195, {1, 3, 1, 3, 23, 53, 91, 1, 133, 729, 13, 2017, 6933, 7405, 1255, 49509, 105571}},
-{6582, 17, 7207, {1, 3, 5, 1, 9, 45, 35, 153, 209, 289, 1779, 2557, 315, 981, 15347, 30391, 16027}},
-{6583, 17, 7208, {1, 3, 3, 5, 17, 3, 51, 105, 263, 959, 1255, 1177, 8143, 10541, 7687, 38731, 93561}},
-{6584, 17, 7214, {1, 1, 1, 13, 19, 1, 15, 135, 447, 847, 663, 3893, 3539, 6833, 13265, 62923, 8375}},
-{6585, 17, 7222, {1, 3, 1, 15, 31, 11, 105, 1, 91, 523, 1583, 3493, 2665, 117, 10757, 29845, 127201}},
-{6586, 17, 7234, {1, 1, 1, 3, 29, 49, 9, 103, 309, 605, 1751, 1981, 833, 3653, 14001, 16545, 58513}},
-{6587, 17, 7254, {1, 1, 5, 9, 1, 19, 117, 71, 237, 765, 249, 1983, 2289, 6019, 26505, 31427, 64333}},
-{6588, 17, 7258, {1, 1, 3, 11, 15, 31, 5, 207, 347, 143, 11, 1987, 3569, 2051, 31051, 22193, 93289}},
-{6589, 17, 7264, {1, 1, 3, 5, 13, 15, 5, 73, 457, 611, 673, 2675, 8071, 13245, 19443, 14399, 99599}},
-{6590, 17, 7279, {1, 1, 1, 9, 11, 5, 103, 231, 31, 457, 1031, 2257, 3159, 8323, 31585, 26163, 45159}},
-{6591, 17, 7282, {1, 3, 1, 11, 29, 51, 29, 7, 89, 331, 783, 951, 6353, 15421, 12801, 8337, 119171}},
-{6592, 17, 7293, {1, 1, 3, 13, 23, 57, 63, 43, 505, 1, 657, 4005, 6327, 7545, 15455, 27097, 53649}},
-{6593, 17, 7297, {1, 1, 1, 5, 31, 7, 51, 107, 175, 461, 1893, 305, 157, 4819, 18549, 33087, 9499}},
-{6594, 17, 7322, {1, 3, 1, 3, 19, 45, 37, 9, 459, 143, 1327, 3611, 1899, 15109, 30151, 17911, 13233}},
-{6595, 17, 7324, {1, 1, 5, 15, 19, 49, 11, 227, 375, 661, 665, 259, 3659, 13723, 28239, 48159, 59209}},
-{6596, 17, 7351, {1, 3, 7, 7, 17, 49, 77, 161, 505, 713, 1521, 935, 3629, 5033, 26717, 47199, 3693}},
-{6597, 17, 7363, {1, 3, 5, 9, 17, 61, 1, 201, 259, 179, 1637, 2485, 4995, 2813, 19923, 43739, 32183}},
-{6598, 17, 7380, {1, 1, 3, 5, 1, 23, 125, 61, 225, 703, 2011, 1013, 6651, 14029, 27375, 23301, 80269}},
-{6599, 17, 7384, {1, 1, 3, 9, 11, 57, 37, 49, 321, 443, 1055, 1989, 4755, 8467, 22001, 18647, 112617}},
-{6600, 17, 7389, {1, 3, 1, 5, 5, 39, 21, 139, 101, 583, 1881, 2599, 4185, 15679, 22215, 19093, 76737}},
-{6601, 17, 7396, {1, 3, 1, 11, 31, 51, 85, 91, 159, 421, 2005, 1075, 7757, 12653, 25489, 3545, 62961}},
-{6602, 17, 7413, {1, 1, 1, 15, 27, 57, 75, 151, 357, 571, 395, 299, 5607, 12865, 2149, 21059, 120753}},
-{6603, 17, 7417, {1, 1, 1, 3, 15, 57, 63, 171, 265, 709, 1089, 677, 7243, 10207, 9789, 38431, 130415}},
-{6604, 17, 7431, {1, 3, 7, 5, 21, 9, 73, 149, 197, 773, 773, 3931, 4135, 5671, 2733, 57173, 90693}},
-{6605, 17, 7443, {1, 1, 5, 1, 23, 1, 47, 201, 33, 167, 1643, 4009, 2687, 5725, 28733, 27859, 55163}},
-{6606, 17, 7445, {1, 1, 5, 15, 25, 11, 57, 139, 471, 625, 1067, 3647, 6213, 15605, 23537, 5005, 32593}},
-{6607, 17, 7450, {1, 3, 1, 11, 17, 11, 25, 163, 199, 21, 1775, 3721, 2845, 15769, 2381, 27643, 19909}},
-{6608, 17, 7456, {1, 3, 5, 5, 21, 41, 23, 125, 401, 483, 535, 925, 7065, 1727, 3761, 8485, 3519}},
-{6609, 17, 7466, {1, 1, 3, 15, 27, 31, 11, 7, 93, 237, 611, 3635, 4747, 9751, 20607, 20473, 73935}},
-{6610, 17, 7468, {1, 1, 7, 3, 15, 19, 69, 169, 387, 291, 1981, 635, 3387, 15817, 20357, 47537, 107311}},
-{6611, 17, 7474, {1, 3, 7, 15, 13, 59, 31, 235, 399, 343, 1265, 2975, 6839, 13335, 5397, 58915, 31313}},
-{6612, 17, 7479, {1, 1, 7, 1, 3, 35, 81, 243, 387, 421, 1533, 799, 2615, 13219, 9041, 26967, 22677}},
-{6613, 17, 7486, {1, 1, 7, 15, 17, 41, 89, 115, 67, 569, 1647, 1831, 5533, 4629, 1413, 20037, 97343}},
-{6614, 17, 7497, {1, 1, 5, 1, 23, 41, 11, 149, 319, 377, 439, 1237, 4819, 14303, 14657, 61711, 129235}},
-{6615, 17, 7508, {1, 3, 3, 7, 9, 11, 79, 219, 249, 607, 1453, 2931, 3407, 13725, 28289, 42869, 96759}},
-{6616, 17, 7515, {1, 1, 5, 11, 7, 9, 101, 51, 11, 893, 697, 1221, 4237, 1873, 11191, 25517, 119861}},
-{6617, 17, 7533, {1, 1, 3, 11, 23, 23, 19, 245, 485, 317, 1945, 2339, 193, 9389, 30709, 33927, 95089}},
-{6618, 17, 7542, {1, 1, 3, 1, 27, 55, 5, 81, 63, 185, 223, 3639, 6093, 10053, 1793, 11885, 29307}},
-{6619, 17, 7546, {1, 1, 7, 13, 15, 41, 33, 133, 467, 457, 213, 3687, 1313, 2555, 19487, 44257, 108667}},
-{6620, 17, 7551, {1, 1, 3, 5, 31, 51, 53, 115, 449, 273, 1043, 2743, 1759, 2013, 28171, 57091, 76837}},
-{6621, 17, 7569, {1, 1, 5, 15, 21, 43, 11, 215, 151, 253, 913, 1889, 2799, 13787, 3869, 54413, 50991}},
-{6622, 17, 7572, {1, 1, 3, 13, 29, 19, 81, 123, 461, 203, 81, 555, 6601, 15689, 12637, 41467, 105343}},
-{6623, 17, 7595, {1, 1, 3, 13, 7, 21, 75, 111, 47, 481, 1519, 3299, 6199, 3501, 31323, 29215, 45607}},
-{6624, 17, 7603, {1, 3, 1, 3, 17, 51, 45, 223, 321, 233, 267, 3333, 3803, 3099, 4601, 29061, 88441}},
-{6625, 17, 7605, {1, 1, 5, 13, 23, 27, 7, 57, 273, 893, 773, 239, 6357, 15875, 5497, 21775, 108291}},
-{6626, 17, 7629, {1, 3, 1, 15, 25, 17, 11, 229, 175, 909, 691, 3507, 5247, 2933, 1741, 35059, 62841}},
-{6627, 17, 7632, {1, 3, 5, 1, 29, 7, 11, 69, 345, 87, 99, 3243, 5669, 11053, 1185, 6979, 117069}},
-{6628, 17, 7638, {1, 3, 5, 11, 13, 33, 23, 183, 89, 475, 643, 2773, 7899, 15219, 133, 5073, 129355}},
-{6629, 17, 7648, {1, 3, 7, 9, 23, 17, 31, 53, 455, 193, 1695, 2557, 1645, 12675, 27857, 50447, 121335}},
-{6630, 17, 7654, {1, 1, 3, 11, 15, 19, 41, 57, 305, 235, 1131, 1165, 1857, 13667, 19285, 29755, 118885}},
-{6631, 17, 7663, {1, 3, 7, 3, 9, 43, 107, 3, 275, 673, 677, 3769, 3097, 5497, 24911, 4617, 80505}},
-{6632, 17, 7675, {1, 1, 7, 9, 21, 39, 107, 155, 471, 753, 579, 2929, 4951, 4245, 25035, 41795, 86955}},
-{6633, 17, 7693, {1, 3, 1, 7, 31, 51, 27, 165, 147, 751, 709, 399, 45, 947, 9893, 32721, 122127}},
-{6634, 17, 7705, {1, 3, 3, 1, 31, 31, 73, 59, 351, 293, 845, 3139, 4177, 3537, 9465, 20689, 65837}},
-{6635, 17, 7717, {1, 3, 5, 9, 27, 29, 13, 115, 417, 435, 465, 1291, 5225, 11687, 29207, 39895, 55443}},
-{6636, 17, 7724, {1, 3, 3, 15, 29, 49, 111, 179, 221, 565, 787, 1811, 4055, 7863, 27273, 32975, 26985}},
-{6637, 17, 7727, {1, 1, 1, 7, 15, 49, 121, 145, 277, 27, 149, 965, 4903, 3497, 32333, 37217, 105073}},
-{6638, 17, 7735, {1, 1, 7, 1, 23, 29, 31, 77, 353, 349, 755, 2081, 4291, 567, 641, 41751, 20397}},
-{6639, 17, 7761, {1, 1, 5, 3, 25, 31, 97, 3, 405, 607, 965, 2981, 3217, 14695, 25977, 22457, 113539}},
-{6640, 17, 7767, {1, 3, 3, 15, 25, 3, 91, 125, 269, 825, 1163, 2181, 4247, 6813, 4699, 35091, 87771}},
-{6641, 17, 7783, {1, 1, 5, 9, 25, 23, 113, 145, 71, 31, 1115, 3729, 6793, 11869, 26509, 18779, 99499}},
-{6642, 17, 7784, {1, 1, 1, 9, 31, 51, 77, 217, 247, 599, 1541, 3217, 1383, 5203, 27971, 23647, 71823}},
-{6643, 17, 7798, {1, 1, 5, 7, 17, 35, 113, 73, 475, 511, 35, 1961, 5311, 2257, 1935, 58963, 94349}},
-{6644, 17, 7802, {1, 3, 1, 7, 27, 31, 67, 253, 95, 883, 1213, 855, 3429, 15049, 26715, 56099, 101797}},
-{6645, 17, 7811, {1, 1, 3, 5, 9, 9, 61, 57, 511, 537, 1803, 949, 1327, 3921, 11297, 13807, 64629}},
-{6646, 17, 7817, {1, 1, 5, 1, 31, 57, 105, 161, 309, 283, 1291, 2737, 7141, 7497, 25893, 14453, 35375}},
-{6647, 17, 7823, {1, 1, 3, 1, 21, 3, 77, 37, 13, 211, 1863, 1895, 8035, 5801, 25981, 12317, 48375}},
-{6648, 17, 7832, {1, 3, 7, 7, 25, 45, 13, 77, 185, 553, 1501, 1349, 5951, 15581, 32657, 18467, 128363}},
-{6649, 17, 7837, {1, 3, 5, 9, 23, 63, 105, 239, 213, 935, 1331, 3653, 2775, 6591, 6067, 34597, 19217}},
-{6650, 17, 7842, {1, 3, 7, 13, 15, 19, 79, 91, 391, 637, 1685, 2263, 3507, 2025, 2111, 15875, 14831}},
-{6651, 17, 7853, {1, 3, 3, 5, 7, 29, 81, 69, 511, 399, 343, 737, 2833, 1021, 10471, 18689, 36181}},
-{6652, 17, 7854, {1, 1, 5, 11, 21, 17, 39, 137, 145, 857, 583, 789, 8057, 15995, 32113, 64163, 37153}},
-{6653, 17, 7856, {1, 3, 3, 11, 9, 61, 87, 131, 487, 667, 1295, 493, 4629, 7719, 18157, 49715, 2051}},
-{6654, 17, 7861, {1, 3, 5, 9, 19, 5, 85, 3, 491, 353, 571, 2829, 4411, 343, 24781, 62325, 123959}},
-{6655, 17, 7862, {1, 1, 7, 13, 13, 39, 11, 31, 413, 285, 27, 2433, 3307, 6165, 26565, 40065, 102655}},
-{6656, 17, 7873, {1, 1, 5, 11, 25, 45, 7, 97, 9, 973, 1833, 2537, 1457, 7389, 24087, 38061, 122805}},
-{6657, 17, 7874, {1, 3, 5, 3, 21, 63, 77, 21, 249, 525, 1145, 1421, 8011, 3357, 15051, 30293, 127017}},
-{6658, 17, 7886, {1, 1, 5, 3, 13, 53, 81, 185, 303, 307, 1579, 841, 2277, 607, 10899, 34209, 215}},
-{6659, 17, 7914, {1, 3, 3, 13, 17, 1, 125, 145, 205, 763, 127, 1865, 4129, 849, 27247, 29845, 36515}},
-{6660, 17, 7927, {1, 3, 7, 13, 5, 59, 19, 71, 227, 111, 365, 1309, 5857, 6035, 32379, 11303, 127329}},
-{6661, 17, 7936, {1, 1, 1, 1, 19, 61, 79, 253, 459, 23, 725, 3615, 4583, 429, 13215, 31879, 4523}},
-{6662, 17, 7951, {1, 1, 1, 7, 19, 13, 53, 41, 243, 107, 1767, 983, 3483, 2249, 2209, 58895, 14805}},
-{6663, 17, 7963, {1, 1, 1, 9, 5, 63, 31, 85, 119, 307, 633, 3295, 841, 3495, 22965, 57587, 108271}},
-{6664, 17, 7966, {1, 3, 5, 9, 17, 13, 57, 49, 97, 613, 405, 2637, 3229, 14253, 4663, 61345, 33415}},
-{6665, 17, 7976, {1, 3, 1, 1, 17, 37, 63, 3, 5, 375, 1073, 3971, 665, 4445, 153, 20437, 38513}},
-{6666, 17, 7993, {1, 3, 3, 15, 5, 9, 77, 161, 409, 461, 443, 567, 5581, 8623, 27735, 9041, 5517}},
-{6667, 17, 8001, {1, 3, 5, 13, 13, 5, 19, 53, 263, 155, 557, 3973, 6841, 4829, 30751, 30025, 121973}},
-{6668, 17, 8004, {1, 3, 7, 9, 27, 37, 49, 243, 107, 1013, 1743, 1509, 4465, 15415, 4741, 41409, 72695}},
-{6669, 17, 8013, {1, 1, 3, 5, 11, 49, 39, 45, 21, 463, 875, 3681, 1901, 15325, 24553, 51369, 82227}},
-{6670, 17, 8021, {1, 1, 3, 15, 11, 35, 21, 91, 383, 149, 1815, 911, 4633, 12027, 12413, 22307, 120049}},
-{6671, 17, 8026, {1, 3, 5, 7, 7, 3, 15, 83, 477, 687, 145, 1705, 6893, 5233, 20171, 43337, 72603}},
-{6672, 17, 8028, {1, 1, 3, 9, 25, 35, 19, 173, 67, 5, 561, 2139, 4557, 4911, 26273, 38409, 22801}},
-{6673, 17, 8031, {1, 1, 3, 13, 15, 39, 85, 91, 91, 187, 1851, 1181, 4049, 16353, 26525, 43703, 19415}},
-{6674, 17, 8035, {1, 3, 1, 9, 13, 41, 77, 179, 415, 705, 693, 3017, 5847, 16191, 11435, 28979, 51839}},
-{6675, 17, 8042, {1, 1, 3, 5, 23, 15, 3, 159, 269, 67, 625, 4043, 4701, 1599, 6467, 10949, 80073}},
-{6676, 17, 8071, {1, 3, 3, 15, 7, 43, 81, 157, 393, 321, 1875, 2801, 4359, 11703, 1063, 64015, 109997}},
-{6677, 17, 8085, {1, 1, 7, 3, 25, 21, 37, 123, 133, 691, 973, 3115, 2291, 10519, 13339, 22751, 85445}},
-{6678, 17, 8092, {1, 3, 1, 1, 21, 21, 9, 23, 431, 679, 1873, 289, 4503, 3939, 14417, 36081, 18709}},
-{6679, 17, 8102, {1, 3, 5, 5, 1, 53, 109, 133, 33, 279, 727, 2233, 3065, 8557, 7487, 25797, 109177}},
-{6680, 17, 8105, {1, 1, 7, 7, 1, 9, 47, 127, 179, 757, 1985, 547, 169, 13393, 22669, 58795, 92897}},
-{6681, 17, 8114, {1, 3, 5, 11, 17, 21, 95, 219, 263, 579, 1493, 3283, 5461, 1235, 1749, 33325, 36033}},
-{6682, 17, 8123, {1, 1, 3, 11, 21, 49, 45, 143, 511, 983, 1933, 965, 7905, 1925, 27857, 40723, 68251}},
-{6683, 17, 8131, {1, 3, 7, 3, 27, 9, 73, 7, 441, 877, 107, 1599, 4795, 7251, 6819, 7671, 21137}},
-{6684, 17, 8140, {1, 1, 3, 3, 21, 25, 49, 43, 247, 949, 627, 2859, 2507, 4787, 11269, 53221, 126387}},
-{6685, 17, 8145, {1, 1, 5, 3, 5, 53, 127, 65, 353, 521, 1701, 2981, 3201, 611, 13475, 58015, 2605}},
-{6686, 17, 8157, {1, 1, 5, 13, 9, 39, 55, 103, 53, 281, 705, 2433, 6179, 3381, 31973, 30267, 91307}},
-{6687, 17, 8158, {1, 1, 7, 13, 31, 23, 29, 161, 347, 449, 123, 3427, 5731, 12691, 15175, 20487, 74695}},
-{6688, 17, 8185, {1, 3, 3, 15, 13, 19, 83, 137, 437, 317, 921, 913, 7979, 6665, 5313, 1435, 60271}},
-{6689, 17, 8186, {1, 3, 5, 7, 19, 23, 31, 131, 421, 95, 1999, 897, 4839, 1815, 12387, 45009, 2609}},
-{6690, 17, 8188, {1, 1, 1, 7, 3, 53, 121, 33, 47, 283, 813, 3841, 4449, 2543, 15211, 59285, 42551}},
-{6691, 17, 8192, {1, 3, 1, 13, 9, 43, 37, 167, 93, 417, 213, 2721, 3395, 2089, 13743, 32925, 91147}},
-{6692, 17, 8212, {1, 3, 7, 5, 31, 25, 97, 25, 19, 11, 543, 1889, 455, 5765, 9517, 56963, 131069}},
-{6693, 17, 8219, {1, 3, 1, 7, 3, 7, 87, 61, 209, 39, 1303, 1637, 6687, 8001, 5003, 47911, 110657}},
-{6694, 17, 8221, {1, 1, 5, 3, 11, 25, 99, 77, 379, 843, 1423, 2933, 7535, 4181, 32223, 49327, 48041}},
-{6695, 17, 8235, {1, 3, 3, 13, 9, 7, 85, 59, 47, 777, 401, 2449, 2795, 11289, 25023, 7725, 73887}},
-{6696, 17, 8237, {1, 1, 3, 5, 11, 51, 93, 57, 369, 871, 1175, 2705, 1253, 5169, 24691, 14243, 119667}},
-{6697, 17, 8249, {1, 3, 1, 3, 5, 7, 33, 171, 359, 115, 1909, 2003, 1413, 13829, 3471, 36185, 118399}},
-{6698, 17, 8260, {1, 1, 1, 11, 5, 49, 97, 145, 415, 731, 671, 2309, 7211, 11359, 22757, 15415, 70951}},
-{6699, 17, 8264, {1, 1, 3, 5, 7, 51, 61, 101, 375, 575, 1321, 2835, 7569, 9599, 4707, 7655, 53417}},
-{6700, 17, 8270, {1, 3, 1, 15, 9, 63, 25, 117, 203, 5, 1345, 2571, 5273, 2059, 4689, 27237, 23199}},
-{6701, 17, 8282, {1, 1, 3, 15, 15, 23, 69, 49, 349, 995, 5, 1565, 903, 10165, 9565, 6343, 16653}},
-{6702, 17, 8291, {1, 1, 3, 9, 21, 15, 69, 9, 463, 69, 1447, 2347, 5125, 7479, 18257, 14405, 51321}},
-{6703, 17, 8293, {1, 1, 7, 11, 23, 57, 57, 179, 17, 129, 999, 777, 6281, 1693, 31885, 31085, 29237}},
-{6704, 17, 8297, {1, 3, 5, 1, 25, 55, 15, 21, 199, 271, 1645, 1719, 2023, 10049, 15215, 11959, 44875}},
-{6705, 17, 8298, {1, 3, 1, 3, 29, 43, 83, 11, 281, 27, 429, 685, 7189, 9151, 8665, 9553, 115293}},
-{6706, 17, 8305, {1, 3, 1, 7, 17, 43, 125, 11, 189, 803, 713, 683, 7285, 4455, 18195, 45333, 32281}},
-{6707, 17, 8306, {1, 3, 3, 3, 11, 55, 21, 59, 173, 283, 709, 1561, 5391, 5097, 24725, 19217, 13769}},
-{6708, 17, 8311, {1, 3, 5, 13, 7, 29, 117, 207, 415, 525, 567, 1741, 3553, 6729, 433, 17619, 45971}},
-{6709, 17, 8318, {1, 1, 7, 7, 3, 23, 43, 43, 213, 823, 609, 1037, 3797, 4733, 30717, 61067, 89581}},
-{6710, 17, 8327, {1, 3, 5, 7, 11, 7, 7, 241, 379, 217, 739, 2815, 2549, 14297, 10283, 1509, 80613}},
-{6711, 17, 8345, {1, 1, 1, 1, 17, 45, 53, 229, 193, 893, 1881, 227, 6751, 7135, 20823, 36939, 27667}},
-{6712, 17, 8379, {1, 3, 3, 1, 15, 39, 27, 217, 101, 949, 1963, 2213, 2357, 4129, 11925, 841, 59259}},
-{6713, 17, 8390, {1, 1, 3, 3, 5, 53, 59, 255, 421, 1009, 683, 2171, 6691, 12489, 20865, 29363, 70611}},
-{6714, 17, 8394, {1, 1, 7, 15, 7, 31, 105, 141, 153, 401, 549, 3045, 5443, 11147, 18159, 24283, 21859}},
-{6715, 17, 8414, {1, 3, 7, 1, 11, 17, 17, 231, 175, 603, 1915, 111, 3203, 10627, 9687, 47235, 87057}},
-{6716, 17, 8417, {1, 1, 1, 11, 19, 21, 115, 41, 45, 727, 1523, 739, 3025, 10321, 27353, 63139, 16051}},
-{6717, 17, 8432, {1, 3, 7, 11, 13, 9, 33, 121, 237, 565, 2043, 2131, 3079, 12575, 2187, 14427, 85939}},
-{6718, 17, 8437, {1, 3, 1, 15, 21, 19, 91, 227, 485, 49, 101, 15, 1903, 4039, 23819, 40001, 66405}},
-{6719, 17, 8441, {1, 3, 1, 5, 15, 25, 65, 25, 393, 287, 1435, 1851, 6437, 5983, 13769, 37847, 120907}},
-{6720, 17, 8449, {1, 3, 7, 15, 15, 21, 97, 37, 359, 155, 807, 1421, 517, 13135, 2955, 56979, 52299}},
-{6721, 17, 8456, {1, 1, 5, 1, 27, 53, 79, 27, 467, 605, 267, 1193, 31, 6177, 12369, 32621, 38319}},
-{6722, 17, 8473, {1, 1, 1, 11, 27, 15, 15, 231, 205, 677, 331, 133, 3313, 7193, 8059, 36449, 21671}},
-{6723, 17, 8489, {1, 3, 3, 11, 19, 57, 113, 83, 399, 801, 1843, 2119, 2779, 14061, 30901, 28745, 120903}},
-{6724, 17, 8495, {1, 1, 1, 11, 5, 27, 121, 247, 467, 251, 1487, 251, 897, 3171, 28383, 22473, 1709}},
-{6725, 17, 8522, {1, 1, 1, 15, 7, 59, 123, 165, 123, 373, 167, 1323, 5239, 9027, 13791, 55593, 78785}},
-{6726, 17, 8524, {1, 3, 1, 11, 31, 11, 81, 229, 123, 183, 461, 1751, 5713, 2615, 27795, 1657, 39253}},
-{6727, 17, 8529, {1, 1, 7, 1, 21, 45, 107, 3, 283, 149, 549, 3731, 6435, 3595, 32753, 16079, 84257}},
-{6728, 17, 8545, {1, 3, 3, 15, 19, 9, 81, 37, 51, 341, 909, 985, 1503, 12787, 16129, 37789, 113515}},
-{6729, 17, 8557, {1, 3, 5, 13, 3, 33, 127, 219, 369, 341, 1191, 1305, 567, 2339, 31221, 49435, 114927}},
-{6730, 17, 8565, {1, 1, 7, 15, 29, 47, 103, 107, 257, 15, 2029, 2133, 2129, 11235, 29553, 49139, 33809}},
-{6731, 17, 8572, {1, 3, 3, 13, 23, 33, 105, 43, 155, 815, 1087, 2261, 2781, 3461, 7371, 4479, 123093}},
-{6732, 17, 8576, {1, 1, 1, 13, 17, 7, 89, 107, 143, 349, 637, 3651, 4153, 12131, 28393, 45781, 84133}},
-{6733, 17, 8582, {1, 3, 5, 11, 31, 47, 105, 101, 267, 403, 1853, 3977, 3277, 1737, 15503, 47365, 14361}},
-{6734, 17, 8594, {1, 1, 1, 13, 1, 63, 125, 107, 123, 183, 1027, 3491, 3597, 15949, 5779, 34665, 81257}},
-{6735, 17, 8629, {1, 3, 1, 9, 13, 5, 125, 41, 389, 73, 1487, 1983, 957, 12645, 13983, 7675, 72711}},
-{6736, 17, 8636, {1, 3, 7, 5, 17, 5, 25, 63, 211, 591, 261, 2345, 3883, 4403, 773, 43963, 93509}},
-{6737, 17, 8668, {1, 3, 3, 1, 11, 35, 15, 251, 225, 643, 537, 3769, 7593, 6113, 1377, 52185, 81459}},
-{6738, 17, 8678, {1, 3, 5, 15, 27, 27, 51, 35, 389, 853, 1437, 2803, 5739, 1887, 15099, 3299, 111827}},
-{6739, 17, 8701, {1, 1, 3, 15, 25, 63, 31, 201, 79, 131, 31, 3929, 4195, 13045, 8681, 48121, 110723}},
-{6740, 17, 8702, {1, 1, 5, 7, 11, 43, 101, 57, 69, 271, 189, 3087, 4893, 11365, 6945, 14285, 41961}},
-{6741, 17, 8708, {1, 1, 7, 9, 21, 61, 41, 123, 25, 947, 1619, 2895, 7879, 12397, 17405, 48139, 71519}},
-{6742, 17, 8712, {1, 3, 1, 15, 1, 27, 113, 225, 441, 855, 541, 357, 3111, 4867, 20571, 30627, 70123}},
-{6743, 17, 8745, {1, 3, 5, 3, 5, 33, 103, 1, 21, 93, 383, 407, 5145, 7857, 20289, 51943, 16223}},
-{6744, 17, 8754, {1, 1, 7, 15, 1, 13, 41, 215, 463, 417, 513, 3417, 1755, 16165, 7271, 3101, 54353}},
-{6745, 17, 8759, {1, 3, 3, 13, 19, 29, 5, 205, 245, 927, 1249, 773, 3653, 9959, 357, 40863, 37289}},
-{6746, 17, 8763, {1, 3, 3, 7, 3, 5, 85, 241, 29, 627, 1963, 3133, 1369, 503, 11449, 4699, 2573}},
-{6747, 17, 8766, {1, 1, 7, 15, 3, 35, 47, 157, 413, 437, 1627, 3953, 947, 12721, 22209, 34303, 81237}},
-{6748, 17, 8780, {1, 1, 5, 5, 1, 45, 47, 245, 253, 349, 1853, 3481, 6105, 7267, 3159, 38833, 117889}},
-{6749, 17, 8783, {1, 3, 7, 15, 23, 43, 25, 181, 121, 681, 479, 1239, 6155, 3317, 9419, 28717, 44643}},
-{6750, 17, 8786, {1, 3, 3, 15, 31, 43, 111, 99, 405, 991, 301, 1689, 7107, 16131, 16703, 24059, 40345}},
-{6751, 17, 8798, {1, 1, 3, 9, 25, 5, 107, 91, 117, 351, 1595, 163, 3007, 13743, 24535, 38671, 29745}},
-{6752, 17, 8804, {1, 3, 3, 5, 27, 47, 15, 195, 119, 919, 665, 1903, 1981, 7753, 21709, 33699, 15963}},
-{6753, 17, 8819, {1, 3, 1, 11, 23, 23, 75, 115, 477, 105, 541, 1111, 209, 13939, 17129, 7565, 75415}},
-{6754, 17, 8826, {1, 1, 1, 11, 7, 61, 123, 201, 305, 713, 779, 2059, 4899, 13733, 20529, 15617, 39833}},
-{6755, 17, 8835, {1, 1, 7, 11, 21, 7, 63, 113, 213, 871, 375, 29, 1925, 15237, 7091, 12229, 8457}},
-{6756, 17, 8838, {1, 1, 1, 7, 19, 57, 83, 91, 297, 255, 1993, 63, 5337, 4569, 21243, 40867, 46969}},
-{6757, 17, 8856, {1, 1, 3, 7, 13, 63, 91, 191, 281, 259, 1367, 3505, 5885, 10557, 12423, 56303, 14731}},
-{6758, 17, 8862, {1, 1, 5, 15, 27, 15, 29, 67, 115, 287, 253, 1497, 3739, 2183, 14427, 44931, 11547}},
-{6759, 17, 8871, {1, 3, 1, 9, 25, 61, 25, 113, 137, 819, 781, 3741, 2457, 7817, 31209, 20707, 93007}},
-{6760, 17, 8875, {1, 1, 7, 3, 5, 13, 23, 3, 365, 77, 1117, 3061, 4707, 3013, 27899, 10887, 78677}},
-{6761, 17, 8890, {1, 3, 1, 15, 1, 39, 85, 107, 483, 83, 603, 3121, 1995, 5241, 32319, 9515, 94551}},
-{6762, 17, 8892, {1, 1, 7, 3, 27, 13, 105, 41, 285, 237, 1589, 517, 2009, 10833, 1459, 26217, 50759}},
-{6763, 17, 8898, {1, 1, 3, 11, 27, 1, 127, 83, 355, 107, 1003, 657, 4997, 4123, 13151, 56601, 122307}},
-{6764, 17, 8927, {1, 1, 1, 7, 13, 17, 93, 75, 481, 473, 131, 1359, 4859, 1319, 23919, 50079, 128849}},
-{6765, 17, 8928, {1, 1, 3, 7, 9, 33, 111, 229, 11, 283, 1089, 3049, 1635, 959, 19109, 62821, 105391}},
-{6766, 17, 8945, {1, 3, 1, 3, 9, 47, 49, 169, 343, 929, 1379, 1985, 5867, 6053, 12179, 39727, 116053}},
-{6767, 17, 8952, {1, 3, 3, 15, 27, 39, 61, 113, 439, 719, 1313, 3701, 4793, 10275, 2943, 32405, 95457}},
-{6768, 17, 8955, {1, 1, 1, 1, 27, 49, 121, 171, 319, 365, 1593, 1655, 63, 6257, 18097, 35285, 112245}},
-{6769, 17, 8965, {1, 3, 1, 1, 19, 33, 89, 235, 281, 519, 1867, 525, 4475, 12059, 26611, 14789, 59541}},
-{6770, 17, 8972, {1, 3, 1, 15, 1, 51, 65, 71, 131, 599, 117, 2459, 7421, 7157, 24393, 48139, 53701}},
-{6771, 17, 8977, {1, 1, 7, 7, 1, 41, 57, 191, 207, 329, 43, 1235, 5671, 12243, 22549, 40751, 104513}},
-{6772, 17, 8990, {1, 3, 5, 13, 15, 21, 55, 187, 283, 209, 1511, 1329, 6665, 15953, 4521, 16879, 57625}},
-{6773, 17, 8996, {1, 1, 5, 3, 3, 53, 75, 123, 291, 663, 1893, 3669, 4903, 8575, 27971, 46977, 56357}},
-{6774, 17, 9025, {1, 3, 1, 5, 27, 41, 19, 199, 489, 197, 439, 3299, 6315, 6957, 15809, 35297, 5559}},
-{6775, 17, 9037, {1, 3, 5, 1, 3, 25, 109, 191, 33, 543, 125, 2309, 429, 14059, 3149, 45747, 47357}},
-{6776, 17, 9040, {1, 1, 3, 11, 15, 61, 109, 103, 305, 1, 1479, 2781, 6521, 8921, 23681, 9583, 87257}},
-{6777, 17, 9049, {1, 1, 7, 15, 5, 19, 121, 139, 177, 967, 1363, 705, 211, 11877, 22457, 34563, 7801}},
-{6778, 17, 9062, {1, 1, 7, 13, 9, 21, 103, 95, 483, 567, 5, 2095, 4659, 2447, 23521, 27273, 85867}},
-{6779, 17, 9068, {1, 3, 5, 15, 23, 55, 13, 237, 275, 113, 1431, 2931, 5165, 5317, 5625, 51865, 42177}},
-{6780, 17, 9076, {1, 3, 3, 7, 1, 23, 15, 171, 303, 43, 1137, 1255, 3843, 9049, 1799, 7075, 2115}},
-{6781, 17, 9079, {1, 1, 7, 5, 23, 53, 75, 129, 1, 511, 793, 265, 6535, 9641, 25173, 9449, 46949}},
-{6782, 17, 9099, {1, 3, 3, 1, 19, 39, 51, 173, 5, 281, 2047, 4065, 3225, 14587, 16947, 1459, 87227}},
-{6783, 17, 9107, {1, 3, 7, 13, 13, 53, 39, 115, 403, 37, 1533, 2727, 2229, 8291, 18687, 59553, 37629}},
-{6784, 17, 9114, {1, 3, 1, 9, 3, 55, 63, 191, 147, 321, 1287, 2419, 6881, 2249, 11141, 54839, 50263}},
-{6785, 17, 9123, {1, 1, 5, 3, 9, 61, 85, 139, 1, 409, 633, 53, 163, 14677, 13043, 12253, 106939}},
-{6786, 17, 9126, {1, 1, 7, 3, 19, 3, 7, 165, 497, 621, 1563, 1267, 8113, 2383, 17205, 13337, 102547}},
-{6787, 17, 9137, {1, 3, 3, 13, 15, 29, 23, 31, 481, 535, 471, 2125, 331, 9421, 29799, 27097, 5307}},
-{6788, 17, 9149, {1, 1, 1, 1, 31, 45, 47, 139, 235, 509, 889, 685, 1855, 13599, 24431, 62105, 109509}},
-{6789, 17, 9150, {1, 3, 1, 7, 3, 13, 25, 197, 111, 45, 1815, 1031, 4803, 349, 32369, 40837, 111529}},
-{6790, 17, 9155, {1, 1, 7, 1, 27, 9, 3, 73, 403, 321, 967, 2713, 6953, 16123, 8611, 48651, 120635}},
-{6791, 17, 9161, {1, 3, 5, 3, 3, 25, 69, 231, 249, 393, 1141, 1721, 7071, 3711, 15627, 21815, 104735}},
-{6792, 17, 9162, {1, 3, 1, 11, 19, 63, 77, 5, 55, 481, 1021, 119, 3941, 1227, 10997, 29513, 18923}},
-{6793, 17, 9167, {1, 3, 7, 5, 1, 11, 13, 99, 365, 797, 1993, 699, 3091, 11401, 3659, 15339, 90395}},
-{6794, 17, 9172, {1, 3, 5, 7, 31, 43, 55, 143, 273, 379, 1189, 1689, 4811, 5159, 3281, 63819, 57065}},
-{6795, 17, 9186, {1, 1, 1, 13, 9, 25, 9, 3, 461, 281, 959, 2439, 3187, 4837, 13857, 20221, 29733}},
-{6796, 17, 9188, {1, 1, 7, 11, 31, 17, 13, 101, 81, 921, 1329, 2421, 2747, 9435, 23313, 7093, 7547}},
-{6797, 17, 9191, {1, 1, 3, 3, 9, 51, 67, 95, 511, 1011, 1519, 4089, 5001, 1351, 15367, 50665, 92111}},
-{6798, 17, 9198, {1, 1, 5, 13, 27, 43, 115, 77, 439, 589, 31, 915, 7027, 697, 25143, 1443, 59093}},
-{6799, 17, 9200, {1, 1, 7, 3, 17, 5, 107, 117, 133, 649, 1309, 2979, 969, 9789, 12597, 24507, 106825}},
-{6800, 17, 9205, {1, 1, 7, 13, 1, 27, 97, 35, 431, 183, 199, 2619, 515, 89, 20281, 30291, 97977}},
-{6801, 17, 9206, {1, 1, 7, 1, 31, 9, 35, 11, 359, 21, 1875, 3227, 1307, 15691, 17343, 21163, 84671}},
-{6802, 17, 9215, {1, 3, 1, 11, 29, 21, 47, 137, 441, 841, 1641, 3283, 1371, 8835, 16287, 45009, 13779}},
-{6803, 17, 9227, {1, 1, 3, 9, 23, 53, 1, 99, 473, 649, 447, 2589, 5667, 15579, 6497, 44321, 46993}},
-{6804, 17, 9232, {1, 1, 7, 9, 31, 63, 95, 81, 197, 373, 1027, 3959, 7189, 13369, 17287, 53643, 12673}},
-{6805, 17, 9241, {1, 3, 1, 5, 25, 61, 79, 183, 489, 725, 1077, 1147, 113, 7357, 27505, 529, 61855}},
-{6806, 17, 9244, {1, 1, 7, 11, 19, 35, 73, 223, 125, 765, 1303, 2887, 7861, 14839, 9537, 27027, 94327}},
-{6807, 17, 9251, {1, 3, 1, 3, 17, 35, 63, 233, 317, 133, 1837, 3339, 4351, 10071, 5005, 13245, 34327}},
-{6808, 17, 9254, {1, 3, 1, 3, 17, 13, 59, 113, 247, 1015, 1831, 3391, 6337, 6853, 7145, 64309, 40109}},
-{6809, 17, 9275, {1, 3, 5, 13, 15, 23, 65, 203, 241, 545, 1521, 1253, 3171, 7777, 21145, 565, 87813}},
-{6810, 17, 9283, {1, 1, 5, 15, 31, 9, 9, 145, 409, 155, 409, 2935, 5817, 11427, 32617, 38167, 69465}},
-{6811, 17, 9285, {1, 1, 5, 11, 19, 31, 43, 85, 97, 931, 687, 1501, 3991, 2215, 11091, 64735, 56999}},
-{6812, 17, 9303, {1, 1, 1, 3, 7, 11, 101, 21, 345, 829, 531, 1475, 6617, 1187, 26885, 32135, 9733}},
-{6813, 17, 9304, {1, 3, 5, 11, 7, 49, 79, 197, 57, 15, 1845, 1485, 6167, 10887, 17083, 59367, 7411}},
-{6814, 17, 9313, {1, 3, 7, 5, 9, 33, 7, 91, 311, 847, 1435, 3573, 3693, 5369, 26817, 30105, 115337}},
-{6815, 17, 9314, {1, 3, 1, 9, 25, 43, 65, 69, 225, 337, 575, 1979, 5555, 8499, 8127, 33035, 52549}},
-{6816, 17, 9320, {1, 1, 3, 11, 17, 29, 71, 99, 379, 145, 1067, 2561, 7635, 5647, 32491, 56621, 93603}},
-{6817, 17, 9328, {1, 1, 5, 13, 25, 43, 75, 237, 407, 393, 1219, 3651, 7719, 11685, 26123, 62767, 1043}},
-{6818, 17, 9333, {1, 1, 7, 15, 13, 59, 9, 163, 273, 225, 873, 3201, 633, 6121, 18777, 58763, 77731}},
-{6819, 17, 9337, {1, 3, 7, 7, 3, 7, 99, 155, 279, 991, 799, 753, 7205, 9567, 23643, 38263, 19083}},
-{6820, 17, 9338, {1, 3, 7, 11, 11, 29, 65, 3, 207, 575, 253, 2407, 7935, 11323, 23239, 1923, 47737}},
-{6821, 17, 9340, {1, 1, 5, 9, 25, 47, 1, 25, 397, 1009, 193, 4031, 3023, 2029, 10561, 32363, 104405}},
-{6822, 17, 9353, {1, 3, 7, 9, 19, 55, 63, 179, 385, 97, 461, 3393, 8137, 8929, 17621, 9611, 58925}},
-{6823, 17, 9356, {1, 1, 1, 7, 1, 17, 127, 45, 157, 529, 809, 3545, 5173, 5083, 13325, 52295, 91261}},
-{6824, 17, 9364, {1, 1, 7, 9, 25, 49, 99, 79, 157, 535, 1569, 2195, 1725, 1187, 18423, 47957, 10043}},
-{6825, 17, 9373, {1, 1, 3, 7, 3, 31, 83, 45, 199, 665, 1261, 3497, 7885, 5761, 17187, 12041, 12867}},
-{6826, 17, 9374, {1, 3, 1, 7, 3, 55, 73, 215, 41, 1011, 1883, 1051, 7293, 1881, 27435, 29459, 130933}},
-{6827, 17, 9378, {1, 1, 3, 9, 21, 31, 113, 209, 35, 771, 365, 3151, 787, 3845, 26555, 13823, 36951}},
-{6828, 17, 9380, {1, 3, 7, 15, 13, 21, 119, 91, 15, 251, 1337, 2715, 1665, 3451, 8309, 11033, 127159}},
-{6829, 17, 9389, {1, 3, 1, 9, 9, 63, 5, 145, 357, 9, 859, 1565, 1141, 14689, 25121, 41337, 83357}},
-{6830, 17, 9395, {1, 1, 7, 11, 13, 63, 57, 151, 33, 595, 2025, 571, 4713, 11019, 26771, 16221, 92439}},
-{6831, 17, 9412, {1, 3, 3, 15, 29, 49, 93, 131, 167, 835, 33, 263, 93, 8475, 16139, 61237, 95081}},
-{6832, 17, 9422, {1, 1, 7, 13, 1, 57, 43, 91, 485, 841, 1415, 3083, 2665, 8521, 9825, 59955, 21763}},
-{6833, 17, 9439, {1, 1, 1, 1, 29, 47, 63, 107, 439, 847, 537, 2011, 7571, 3699, 23961, 54887, 92681}},
-{6834, 17, 9450, {1, 3, 7, 5, 27, 41, 105, 161, 95, 821, 451, 2627, 4687, 1899, 18851, 35167, 6869}},
-{6835, 17, 9452, {1, 1, 1, 11, 7, 7, 13, 163, 399, 471, 1587, 2561, 1241, 5365, 27189, 49883, 68101}},
-{6836, 17, 9482, {1, 3, 7, 9, 19, 5, 119, 251, 151, 359, 235, 2387, 3919, 7135, 17591, 1053, 6265}},
-{6837, 17, 9487, {1, 1, 5, 9, 13, 25, 43, 23, 453, 693, 517, 1235, 1045, 4299, 27877, 3733, 72269}},
-{6838, 17, 9489, {1, 1, 7, 1, 27, 43, 103, 249, 487, 67, 855, 3239, 2157, 8121, 4701, 37803, 49971}},
-{6839, 17, 9499, {1, 1, 3, 13, 1, 37, 125, 115, 365, 57, 1419, 4085, 7039, 10079, 14991, 48861, 61979}},
-{6840, 17, 9501, {1, 1, 5, 5, 3, 35, 109, 19, 219, 653, 1219, 1625, 6847, 11271, 4525, 56341, 57801}},
-{6841, 17, 9508, {1, 3, 7, 5, 31, 19, 37, 73, 185, 13, 1723, 1139, 5919, 11717, 27161, 13635, 51765}},
-{6842, 17, 9515, {1, 1, 1, 1, 19, 61, 53, 111, 215, 189, 1199, 591, 943, 2111, 17171, 15621, 128459}},
-{6843, 17, 9518, {1, 1, 7, 9, 17, 61, 101, 159, 85, 537, 15, 1427, 6139, 4091, 32639, 28655, 115385}},
-{6844, 17, 9520, {1, 1, 7, 5, 23, 31, 125, 7, 151, 967, 1079, 4059, 3287, 11673, 19307, 49469, 65981}},
-{6845, 17, 9526, {1, 3, 3, 1, 29, 59, 95, 119, 31, 427, 1653, 721, 5509, 6385, 17043, 45133, 74155}},
-{6846, 17, 9537, {1, 1, 3, 9, 13, 61, 35, 189, 1, 559, 119, 3719, 4137, 1369, 19147, 10923, 43909}},
-{6847, 17, 9552, {1, 3, 3, 13, 1, 41, 31, 185, 451, 379, 29, 153, 4121, 13153, 4171, 36993, 109241}},
-{6848, 17, 9571, {1, 1, 1, 9, 15, 41, 99, 17, 21, 93, 649, 2765, 6955, 10843, 12547, 64989, 63713}},
-{6849, 17, 9588, {1, 1, 7, 5, 5, 5, 73, 187, 473, 235, 1907, 409, 7335, 4429, 7493, 20703, 14505}},
-{6850, 17, 9613, {1, 1, 3, 11, 27, 59, 17, 103, 337, 117, 1241, 951, 3701, 10407, 16741, 46531, 56485}},
-{6851, 17, 9619, {1, 1, 3, 15, 11, 51, 111, 189, 137, 939, 97, 1563, 851, 13949, 1375, 41463, 61445}},
-{6852, 17, 9622, {1, 1, 7, 9, 19, 39, 117, 173, 165, 547, 483, 361, 6819, 15093, 13631, 29785, 29593}},
-{6853, 17, 9637, {1, 3, 3, 5, 15, 39, 41, 249, 455, 79, 233, 3133, 405, 9487, 23161, 32751, 117743}},
-{6854, 17, 9652, {1, 1, 5, 15, 7, 63, 7, 57, 127, 349, 1913, 1145, 3371, 3733, 30971, 35717, 60935}},
-{6855, 17, 9655, {1, 1, 7, 11, 7, 57, 49, 63, 51, 233, 855, 2125, 6961, 15011, 28503, 40549, 47175}},
-{6856, 17, 9661, {1, 3, 7, 1, 25, 49, 35, 39, 237, 545, 1637, 1401, 3279, 10499, 14463, 34973, 29485}},
-{6857, 17, 9664, {1, 3, 3, 13, 7, 13, 79, 141, 55, 277, 843, 3087, 2339, 6855, 10635, 13021, 11273}},
-{6858, 17, 9669, {1, 3, 1, 1, 11, 39, 51, 255, 119, 691, 559, 3287, 5485, 791, 19283, 51027, 8061}},
-{6859, 17, 9681, {1, 3, 7, 7, 3, 59, 119, 241, 185, 81, 1843, 2313, 7471, 15689, 2271, 59781, 107439}},
-{6860, 17, 9682, {1, 3, 3, 3, 17, 63, 93, 217, 329, 39, 583, 3031, 4315, 4623, 12557, 42063, 11877}},
-{6861, 17, 9688, {1, 1, 1, 1, 15, 57, 37, 233, 387, 639, 37, 425, 637, 1577, 16449, 33665, 80417}},
-{6862, 17, 9697, {1, 1, 1, 15, 25, 1, 67, 159, 423, 961, 959, 417, 5657, 8417, 8127, 29251, 105893}},
-{6863, 17, 9700, {1, 3, 5, 15, 31, 9, 87, 217, 259, 771, 1663, 2899, 1531, 7849, 1961, 61487, 55399}},
-{6864, 17, 9715, {1, 1, 3, 9, 21, 13, 39, 107, 89, 811, 449, 2569, 4617, 8977, 1649, 37721, 48943}},
-{6865, 17, 9722, {1, 3, 7, 15, 15, 59, 63, 195, 287, 677, 269, 1715, 3545, 3269, 5231, 46433, 25921}},
-{6866, 17, 9727, {1, 1, 5, 7, 19, 27, 57, 221, 243, 47, 1791, 2309, 2751, 4403, 7083, 34223, 64905}},
-{6867, 17, 9734, {1, 1, 1, 15, 1, 63, 119, 155, 383, 649, 429, 3857, 7309, 9823, 9539, 8933, 128573}},
-{6868, 17, 9740, {1, 3, 7, 11, 17, 19, 99, 19, 321, 415, 1501, 2123, 6119, 9705, 11397, 39521, 34327}},
-{6869, 17, 9743, {1, 1, 5, 15, 29, 37, 9, 95, 417, 19, 1637, 2949, 4961, 10743, 9619, 16045, 48083}},
-{6870, 17, 9745, {1, 1, 1, 11, 21, 17, 57, 23, 247, 201, 1781, 779, 2207, 2511, 4829, 13847, 77593}},
-{6871, 17, 9757, {1, 3, 1, 13, 7, 1, 95, 87, 223, 73, 1129, 383, 1355, 4965, 29645, 63465, 76281}},
-{6872, 17, 9761, {1, 3, 3, 13, 3, 47, 33, 123, 155, 621, 1019, 1817, 4083, 4723, 24701, 47503, 18007}},
-{6873, 17, 9762, {1, 1, 7, 15, 13, 41, 73, 93, 379, 923, 1183, 2475, 5901, 10599, 10053, 9941, 112107}},
-{6874, 17, 9767, {1, 1, 3, 3, 13, 35, 59, 231, 45, 1011, 1101, 2467, 2703, 10305, 12575, 7587, 25737}},
-{6875, 17, 9768, {1, 3, 7, 1, 21, 31, 9, 55, 373, 779, 397, 1551, 5139, 16339, 1769, 10413, 74059}},
-{6876, 17, 9774, {1, 1, 7, 15, 7, 3, 67, 179, 411, 217, 1219, 13, 1577, 13463, 12263, 41465, 83001}},
-{6877, 17, 9786, {1, 3, 7, 1, 21, 53, 7, 187, 395, 777, 391, 737, 47, 12681, 16749, 26507, 49415}},
-{6878, 17, 9796, {1, 1, 5, 7, 5, 57, 93, 53, 419, 731, 825, 487, 45, 9199, 20947, 56067, 45343}},
-{6879, 17, 9820, {1, 3, 3, 9, 31, 41, 35, 133, 63, 293, 1503, 51, 3111, 15711, 15051, 1965, 64951}},
-{6880, 17, 9823, {1, 1, 5, 9, 9, 47, 53, 229, 405, 621, 1795, 1923, 6609, 6983, 1695, 18021, 71893}},
-{6881, 17, 9839, {1, 1, 5, 9, 23, 13, 107, 13, 149, 759, 1113, 1329, 1747, 14159, 16705, 61841, 82955}},
-{6882, 17, 9844, {1, 3, 3, 9, 25, 49, 31, 145, 481, 609, 1847, 1485, 6345, 7859, 21231, 37303, 69975}},
-{6883, 17, 9851, {1, 3, 1, 15, 13, 49, 59, 221, 27, 517, 431, 3961, 6401, 8483, 10161, 37453, 128237}},
-{6884, 17, 9853, {1, 1, 3, 1, 3, 55, 37, 111, 263, 735, 655, 2831, 2219, 9449, 8413, 49585, 91355}},
-{6885, 17, 9863, {1, 3, 7, 1, 31, 33, 7, 55, 261, 977, 1215, 1967, 7297, 14815, 27009, 35001, 89671}},
-{6886, 17, 9864, {1, 1, 7, 11, 13, 21, 33, 151, 195, 373, 181, 1631, 355, 7857, 12555, 7531, 50417}},
-{6887, 17, 9877, {1, 3, 1, 15, 19, 25, 79, 195, 237, 385, 1531, 2509, 4371, 16103, 3575, 62265, 124251}},
-{6888, 17, 9884, {1, 3, 1, 11, 5, 61, 21, 159, 51, 37, 845, 3075, 8039, 14269, 10505, 36369, 73793}},
-{6889, 17, 9888, {1, 3, 5, 9, 11, 43, 67, 57, 271, 451, 989, 3705, 2481, 10717, 10861, 63785, 10183}},
-{6890, 17, 9897, {1, 3, 3, 5, 13, 29, 119, 171, 439, 459, 479, 3173, 3781, 11131, 6827, 53925, 119939}},
-{6891, 17, 9915, {1, 3, 7, 3, 27, 21, 1, 167, 79, 305, 1283, 1903, 5483, 5727, 17911, 16075, 97629}},
-{6892, 17, 9925, {1, 3, 1, 3, 23, 21, 29, 185, 227, 295, 915, 2033, 6269, 2089, 20785, 15207, 115675}},
-{6893, 17, 9949, {1, 3, 7, 15, 11, 15, 65, 103, 249, 27, 1805, 2079, 4797, 2535, 16865, 61449, 90923}},
-{6894, 17, 9954, {1, 3, 7, 9, 27, 41, 77, 181, 457, 677, 633, 1601, 8085, 2431, 7957, 55913, 38677}},
-{6895, 17, 9960, {1, 1, 5, 7, 11, 37, 3, 221, 79, 895, 1023, 653, 3925, 12755, 19729, 18221, 91123}},
-{6896, 17, 9965, {1, 3, 1, 5, 23, 61, 119, 191, 425, 41, 853, 3497, 6915, 1927, 5513, 55303, 4895}},
-{6897, 17, 9978, {1, 3, 5, 3, 7, 35, 47, 243, 167, 821, 267, 2149, 5797, 6329, 32495, 51037, 18313}},
-{6898, 17, 9986, {1, 1, 7, 9, 23, 29, 79, 205, 115, 839, 1217, 479, 1601, 9681, 1, 35293, 28731}},
-{6899, 17, 9992, {1, 3, 3, 5, 31, 17, 31, 161, 35, 953, 377, 451, 7985, 11371, 15115, 60131, 27033}},
-{6900, 17, 9995, {1, 1, 3, 9, 15, 19, 43, 215, 327, 429, 145, 1837, 725, 14775, 10465, 7367, 21271}},
-{6901, 17, 10005, {1, 3, 7, 13, 31, 17, 85, 49, 487, 795, 1679, 599, 3783, 3195, 2683, 53475, 38603}},
-{6902, 17, 10026, {1, 1, 1, 7, 19, 11, 71, 143, 443, 199, 1117, 3445, 6429, 12037, 13751, 43609, 101563}},
-{6903, 17, 10031, {1, 3, 5, 7, 29, 63, 65, 87, 305, 721, 851, 2235, 4987, 3051, 23015, 1281, 15755}},
-{6904, 17, 10040, {1, 1, 3, 9, 17, 3, 57, 47, 223, 305, 1409, 235, 4379, 5779, 27695, 22535, 9387}},
-{6905, 17, 10051, {1, 1, 3, 11, 25, 33, 75, 141, 155, 699, 85, 1729, 2551, 7101, 7739, 18025, 100819}},
-{6906, 17, 10057, {1, 3, 3, 13, 5, 45, 63, 83, 141, 383, 1931, 3343, 7397, 4823, 28893, 41279, 67805}},
-{6907, 17, 10072, {1, 3, 5, 7, 19, 29, 97, 67, 177, 583, 1783, 4007, 5087, 805, 30999, 23197, 117553}},
-{6908, 17, 10096, {1, 3, 5, 1, 25, 41, 33, 109, 511, 449, 653, 995, 5881, 2163, 13689, 54385, 97419}},
-{6909, 17, 10102, {1, 3, 3, 13, 25, 17, 49, 77, 497, 659, 783, 3513, 3735, 3541, 573, 50237, 99247}},
-{6910, 17, 10105, {1, 3, 1, 7, 17, 13, 37, 169, 19, 965, 289, 455, 6855, 11233, 7553, 7007, 57389}},
-{6911, 17, 10115, {1, 1, 7, 11, 5, 15, 11, 177, 75, 243, 453, 3861, 3091, 4625, 12489, 11537, 74199}},
-{6912, 17, 10124, {1, 1, 5, 13, 17, 21, 23, 57, 343, 985, 1755, 3947, 3899, 11847, 19321, 62295, 51265}},
-{6913, 17, 10139, {1, 1, 3, 9, 19, 37, 31, 243, 433, 725, 535, 3733, 33, 7885, 1425, 41919, 66507}},
-{6914, 17, 10145, {1, 3, 5, 11, 15, 11, 25, 255, 93, 33, 71, 2389, 1855, 317, 12773, 13311, 81927}},
-{6915, 17, 10148, {1, 3, 1, 3, 7, 55, 21, 175, 357, 235, 1679, 931, 2051, 14213, 20539, 38049, 122513}},
-{6916, 17, 10157, {1, 1, 5, 15, 5, 51, 127, 79, 297, 135, 1423, 2783, 7229, 14451, 27619, 7299, 49189}},
-{6917, 17, 10158, {1, 1, 1, 3, 5, 13, 9, 209, 455, 483, 1745, 323, 789, 7645, 26373, 61659, 23671}},
-{6918, 17, 10163, {1, 1, 1, 9, 23, 63, 99, 91, 377, 275, 275, 3005, 1563, 5945, 23825, 33211, 52753}},
-{6919, 17, 10180, {1, 1, 1, 1, 31, 55, 31, 109, 481, 581, 771, 197, 6155, 3465, 8451, 25925, 41159}},
-{6920, 17, 10187, {1, 3, 7, 13, 5, 33, 113, 161, 265, 493, 1723, 513, 5111, 10177, 21755, 5321, 58831}},
-{6921, 17, 10198, {1, 1, 7, 1, 21, 33, 117, 183, 89, 689, 1253, 2215, 6565, 3079, 16343, 22427, 96447}},
-{6922, 17, 10208, {1, 1, 1, 5, 15, 61, 5, 139, 111, 463, 573, 1907, 4615, 14975, 5715, 51017, 69827}},
-{6923, 17, 10214, {1, 1, 1, 13, 3, 3, 117, 249, 25, 361, 1177, 2901, 1601, 11381, 18981, 44811, 47117}},
-{6924, 17, 10220, {1, 1, 5, 3, 29, 5, 49, 221, 247, 57, 553, 1889, 479, 15581, 7035, 7293, 53065}},
-{6925, 17, 10237, {1, 3, 3, 3, 15, 49, 91, 187, 213, 981, 1417, 211, 3719, 13693, 17671, 16691, 57147}},
-{6926, 17, 10238, {1, 1, 7, 9, 7, 17, 109, 185, 459, 769, 1783, 899, 885, 2291, 30023, 26315, 7337}},
-{6927, 17, 10241, {1, 1, 5, 11, 11, 31, 73, 191, 95, 25, 1953, 1387, 1077, 7547, 9661, 57739, 76799}},
-{6928, 17, 10244, {1, 1, 7, 13, 23, 41, 69, 177, 407, 699, 1055, 3653, 1239, 8113, 12823, 1803, 117815}},
-{6929, 17, 10251, {1, 1, 1, 15, 1, 55, 71, 133, 401, 593, 605, 2855, 4569, 3533, 14141, 65457, 125655}},
-{6930, 17, 10253, {1, 1, 7, 9, 31, 55, 53, 11, 65, 17, 561, 925, 1561, 8929, 19859, 57111, 12777}},
-{6931, 17, 10256, {1, 3, 3, 11, 7, 59, 125, 205, 473, 655, 1429, 337, 6829, 7551, 27873, 11667, 39231}},
-{6932, 17, 10259, {1, 3, 3, 9, 13, 23, 25, 161, 443, 545, 1967, 1895, 6929, 5975, 17801, 41769, 30429}},
-{6933, 17, 10266, {1, 3, 7, 13, 15, 1, 99, 43, 45, 451, 21, 639, 7121, 4781, 2813, 419, 17761}},
-{6934, 17, 10284, {1, 1, 5, 13, 11, 9, 53, 83, 443, 441, 1601, 3177, 1913, 12211, 25835, 1733, 4793}},
-{6935, 17, 10290, {1, 3, 3, 1, 13, 15, 11, 187, 471, 699, 1751, 3279, 2305, 15259, 31541, 21357, 73763}},
-{6936, 17, 10331, {1, 3, 5, 9, 23, 11, 125, 57, 261, 479, 879, 719, 3221, 2943, 10593, 11521, 83979}},
-{6937, 17, 10334, {1, 3, 7, 13, 3, 39, 119, 135, 85, 417, 1675, 971, 7577, 12709, 20407, 26105, 97021}},
-{6938, 17, 10350, {1, 1, 5, 11, 15, 63, 83, 141, 281, 663, 1745, 2775, 5605, 9127, 553, 7177, 115969}},
-{6939, 17, 10355, {1, 1, 7, 1, 19, 47, 7, 165, 87, 95, 361, 1879, 6351, 2861, 9103, 37489, 24525}},
-{6940, 17, 10357, {1, 3, 3, 11, 9, 21, 51, 149, 375, 967, 1583, 1427, 1223, 11611, 7481, 36619, 128429}},
-{6941, 17, 10367, {1, 1, 5, 1, 3, 31, 7, 217, 453, 565, 1517, 2847, 6937, 1197, 24339, 44311, 66843}},
-{6942, 17, 10368, {1, 1, 5, 3, 3, 17, 127, 59, 3, 905, 531, 1179, 3559, 5175, 24627, 60941, 129457}},
-{6943, 17, 10377, {1, 1, 1, 7, 15, 15, 1, 31, 373, 643, 279, 3831, 4881, 9763, 17641, 43219, 83109}},
-{6944, 17, 10388, {1, 3, 3, 9, 5, 21, 41, 71, 371, 201, 573, 1481, 3631, 10783, 6679, 1089, 117347}},
-{6945, 17, 10407, {1, 1, 7, 7, 5, 25, 73, 63, 173, 197, 147, 981, 1491, 1597, 11733, 14285, 74021}},
-{6946, 17, 10421, {1, 1, 5, 11, 17, 15, 3, 175, 391, 503, 1745, 319, 791, 5607, 18173, 37319, 92025}},
-{6947, 17, 10434, {1, 3, 1, 1, 9, 37, 43, 81, 439, 951, 805, 251, 4625, 15617, 13715, 62263, 3827}},
-{6948, 17, 10439, {1, 3, 1, 1, 25, 21, 67, 191, 499, 205, 1355, 105, 1637, 563, 22291, 9045, 6545}},
-{6949, 17, 10440, {1, 1, 5, 5, 9, 3, 75, 75, 287, 303, 1767, 1789, 3437, 4637, 9605, 2537, 64935}},
-{6950, 17, 10443, {1, 1, 3, 3, 1, 51, 27, 155, 375, 149, 885, 187, 1551, 13109, 27011, 57301, 41047}},
-{6951, 17, 10446, {1, 1, 7, 5, 21, 23, 1, 81, 163, 231, 2039, 1519, 1279, 15379, 25549, 6711, 81499}},
-{6952, 17, 10457, {1, 1, 3, 5, 3, 37, 71, 243, 165, 365, 379, 351, 4649, 4287, 13395, 30329, 78383}},
-{6953, 17, 10469, {1, 3, 1, 1, 25, 63, 27, 215, 223, 699, 2029, 3737, 5947, 7287, 20813, 4931, 19345}},
-{6954, 17, 10476, {1, 1, 3, 15, 21, 7, 25, 187, 219, 53, 1749, 1797, 3533, 14307, 53, 11095, 75469}},
-{6955, 17, 10479, {1, 1, 3, 13, 27, 31, 91, 121, 481, 291, 915, 535, 4291, 5271, 12181, 55921, 125917}},
-{6956, 17, 10481, {1, 3, 1, 1, 3, 29, 21, 251, 361, 747, 997, 2989, 1809, 7235, 17855, 31027, 100689}},
-{6957, 17, 10494, {1, 3, 7, 1, 21, 13, 49, 93, 183, 673, 881, 1931, 7009, 2565, 26021, 53815, 19807}},
-{6958, 17, 10501, {1, 1, 7, 13, 9, 23, 47, 237, 487, 843, 1357, 919, 1753, 903, 2911, 31527, 73027}},
-{6959, 17, 10505, {1, 1, 1, 1, 25, 33, 97, 241, 421, 375, 73, 2541, 6231, 14659, 15335, 5915, 110791}},
-{6960, 17, 10516, {1, 3, 3, 7, 21, 17, 97, 125, 7, 271, 167, 475, 4887, 1847, 30173, 25913, 36659}},
-{6961, 17, 10532, {1, 1, 3, 15, 15, 37, 67, 5, 463, 423, 823, 941, 1551, 14175, 15377, 6017, 118297}},
-{6962, 17, 10541, {1, 1, 1, 7, 31, 51, 71, 127, 73, 517, 881, 3205, 6219, 11213, 14783, 64275, 70033}},
-{6963, 17, 10547, {1, 3, 1, 5, 17, 17, 57, 107, 359, 999, 1415, 757, 4743, 7775, 14111, 20075, 73269}},
-{6964, 17, 10550, {1, 3, 5, 3, 21, 57, 87, 43, 307, 777, 717, 3329, 4159, 12545, 31355, 31329, 41377}},
-{6965, 17, 10591, {1, 3, 7, 15, 25, 43, 19, 147, 487, 517, 977, 3625, 2311, 14173, 15167, 56563, 110417}},
-{6966, 17, 10597, {1, 3, 3, 11, 23, 1, 67, 157, 461, 169, 231, 1977, 5657, 865, 711, 24213, 76895}},
-{6967, 17, 10602, {1, 1, 7, 13, 5, 37, 51, 165, 331, 97, 431, 3819, 1379, 12083, 27521, 19689, 100119}},
-{6968, 17, 10610, {1, 1, 7, 15, 29, 21, 59, 193, 397, 467, 951, 3037, 2955, 13235, 20981, 63865, 30069}},
-{6969, 17, 10619, {1, 3, 3, 5, 7, 49, 41, 143, 319, 71, 353, 2159, 3043, 15317, 24095, 12017, 64393}},
-{6970, 17, 10631, {1, 1, 5, 13, 25, 45, 57, 153, 311, 805, 953, 1763, 5655, 3961, 12085, 58761, 76533}},
-{6971, 17, 10646, {1, 1, 3, 15, 29, 19, 71, 107, 203, 221, 1173, 1597, 1179, 9649, 21659, 10463, 8195}},
-{6972, 17, 10655, {1, 1, 3, 9, 31, 29, 53, 151, 247, 577, 543, 459, 8141, 5613, 12029, 24199, 118603}},
-{6973, 17, 10665, {1, 3, 1, 5, 1, 55, 103, 23, 405, 5, 181, 3805, 1103, 13389, 6725, 48733, 99639}},
-{6974, 17, 10673, {1, 1, 5, 9, 1, 47, 115, 231, 151, 885, 427, 2849, 361, 12969, 705, 41711, 53587}},
-{6975, 17, 10674, {1, 1, 3, 11, 9, 3, 11, 231, 77, 775, 657, 2721, 3431, 11919, 10425, 29405, 91561}},
-{6976, 17, 10680, {1, 1, 1, 5, 5, 7, 79, 41, 181, 333, 963, 3117, 7703, 2259, 16671, 51139, 27997}},
-{6977, 17, 10693, {1, 3, 7, 7, 13, 55, 59, 157, 377, 711, 1475, 1509, 1375, 6825, 13729, 28613, 109199}},
-{6978, 17, 10700, {1, 3, 3, 3, 13, 11, 51, 1, 67, 609, 467, 2161, 7693, 9019, 1847, 27969, 74863}},
-{6979, 17, 10721, {1, 1, 3, 3, 11, 33, 87, 217, 239, 505, 1451, 2801, 1417, 695, 29883, 15877, 99969}},
-{6980, 17, 10727, {1, 3, 3, 5, 3, 61, 9, 171, 57, 547, 2003, 2335, 2259, 3205, 5639, 21721, 25893}},
-{6981, 17, 10746, {1, 3, 1, 3, 19, 15, 83, 69, 47, 897, 627, 2839, 7123, 8567, 14707, 13159, 125139}},
-{6982, 17, 10748, {1, 3, 7, 11, 1, 59, 53, 33, 135, 1009, 1829, 3011, 1245, 421, 28909, 45517, 55071}},
-{6983, 17, 10757, {1, 1, 5, 9, 3, 27, 11, 243, 235, 683, 1329, 3145, 2141, 14027, 3707, 5933, 51965}},
-{6984, 17, 10761, {1, 1, 5, 7, 13, 63, 79, 105, 27, 195, 1657, 3107, 1245, 1681, 29619, 10589, 78197}},
-{6985, 17, 10770, {1, 3, 3, 7, 21, 1, 5, 79, 73, 125, 1587, 3053, 5977, 10745, 28343, 39023, 56201}},
-{6986, 17, 10776, {1, 1, 3, 15, 23, 21, 39, 41, 173, 913, 1267, 1323, 2967, 1979, 16763, 53753, 21905}},
-{6987, 17, 10782, {1, 1, 5, 7, 11, 11, 117, 151, 409, 345, 1461, 1703, 687, 557, 31651, 35507, 54909}},
-{6988, 17, 10791, {1, 1, 1, 15, 15, 49, 55, 223, 289, 765, 1737, 1117, 3717, 15465, 31949, 55061, 97091}},
-{6989, 17, 10792, {1, 1, 5, 9, 21, 29, 99, 13, 119, 35, 1461, 61, 5155, 6785, 15957, 11295, 52203}},
-{6990, 17, 10805, {1, 3, 5, 7, 23, 39, 73, 161, 465, 715, 153, 3529, 2243, 13773, 16573, 26233, 130263}},
-{6991, 17, 10810, {1, 3, 7, 9, 11, 51, 5, 149, 501, 119, 2047, 3417, 3955, 15055, 31633, 473, 127305}},
-{6992, 17, 10832, {1, 1, 1, 9, 31, 57, 91, 119, 215, 11, 1013, 3969, 1285, 11521, 8039, 36737, 86365}},
-{6993, 17, 10835, {1, 1, 5, 3, 7, 17, 9, 27, 59, 883, 541, 3027, 6219, 1091, 2453, 38247, 21323}},
-{6994, 17, 10841, {1, 1, 1, 1, 25, 39, 55, 249, 61, 313, 467, 1763, 4067, 8367, 32431, 44463, 66439}},
-{6995, 17, 10842, {1, 3, 3, 1, 13, 3, 37, 209, 21, 653, 1971, 3649, 6165, 3789, 12793, 56327, 60351}},
-{6996, 17, 10847, {1, 1, 7, 9, 31, 33, 21, 51, 313, 631, 515, 1761, 4149, 2601, 12481, 25975, 94061}},
-{6997, 17, 10853, {1, 1, 7, 15, 3, 7, 55, 129, 297, 735, 779, 633, 3265, 11713, 3893, 61197, 113991}},
-{6998, 17, 10860, {1, 3, 5, 13, 1, 15, 27, 253, 435, 595, 1163, 2753, 7399, 15225, 26215, 59753, 74933}},
-{6999, 17, 10871, {1, 1, 7, 7, 15, 23, 111, 43, 467, 957, 1687, 2893, 2315, 2025, 1475, 9061, 101611}},
-{7000, 17, 10878, {1, 1, 3, 3, 29, 41, 53, 169, 125, 415, 361, 869, 3399, 8821, 18193, 38575, 73979}},
-{7001, 17, 10881, {1, 1, 1, 15, 3, 5, 27, 5, 293, 765, 1809, 1961, 955, 12441, 10915, 2363, 49617}},
-{7002, 17, 10888, {1, 1, 5, 15, 19, 11, 3, 91, 59, 323, 545, 1177, 7967, 2729, 14085, 3283, 79859}},
-{7003, 17, 10894, {1, 1, 7, 13, 11, 17, 29, 163, 295, 951, 311, 3471, 1339, 10719, 701, 32377, 41685}},
-{7004, 17, 10901, {1, 3, 5, 7, 21, 19, 81, 247, 495, 767, 251, 3455, 6383, 7221, 19943, 64865, 33193}},
-{7005, 17, 10915, {1, 1, 7, 15, 23, 41, 63, 195, 311, 619, 211, 743, 889, 7627, 12527, 15865, 40103}},
-{7006, 17, 10918, {1, 1, 3, 1, 23, 23, 57, 221, 153, 27, 939, 3949, 411, 6357, 31985, 939, 91001}},
-{7007, 17, 10922, {1, 3, 5, 15, 7, 5, 35, 135, 245, 921, 307, 823, 775, 4891, 24575, 53503, 48147}},
-{7008, 17, 10936, {1, 1, 5, 7, 9, 31, 23, 139, 477, 495, 287, 807, 1855, 8321, 13963, 52197, 78509}},
-{7009, 17, 10954, {1, 3, 3, 3, 29, 59, 33, 83, 211, 65, 623, 1269, 1745, 16383, 10759, 57199, 14035}},
-{7010, 17, 10968, {1, 3, 3, 15, 25, 55, 69, 171, 411, 937, 731, 2275, 2597, 4133, 5089, 50507, 39989}},
-{7011, 17, 10971, {1, 3, 1, 9, 5, 47, 51, 21, 171, 913, 233, 43, 2673, 471, 27077, 57039, 32579}},
-{7012, 17, 10973, {1, 3, 5, 3, 29, 35, 5, 105, 233, 379, 77, 1775, 2409, 4597, 19879, 12691, 49739}},
-{7013, 17, 10978, {1, 3, 7, 13, 17, 29, 117, 177, 163, 927, 45, 3227, 7263, 5551, 9219, 32101, 122473}},
-{7014, 17, 10998, {1, 1, 7, 5, 31, 39, 75, 147, 311, 991, 1431, 3821, 6891, 9637, 17887, 661, 23067}},
-{7015, 17, 11009, {1, 3, 5, 13, 31, 53, 69, 79, 153, 329, 207, 479, 2395, 6505, 29553, 52023, 31531}},
-{7016, 17, 11021, {1, 3, 1, 7, 15, 7, 87, 233, 25, 275, 981, 1207, 3083, 16349, 30185, 60611, 120607}},
-{7017, 17, 11029, {1, 1, 5, 3, 21, 7, 47, 173, 291, 965, 65, 545, 7465, 4471, 2249, 34281, 107217}},
-{7018, 17, 11030, {1, 1, 3, 11, 19, 53, 17, 243, 193, 297, 1937, 1513, 4979, 14867, 15497, 10049, 9135}},
-{7019, 17, 11034, {1, 3, 1, 3, 25, 39, 29, 63, 231, 145, 247, 1745, 3439, 8635, 26687, 18595, 67123}},
-{7020, 17, 11050, {1, 1, 7, 9, 29, 33, 89, 175, 429, 675, 891, 1739, 3567, 5453, 30427, 33671, 83395}},
-{7021, 17, 11063, {1, 3, 1, 5, 31, 25, 69, 237, 235, 307, 1217, 3805, 153, 13387, 6209, 14179, 128725}},
-{7022, 17, 11064, {1, 1, 3, 3, 19, 45, 117, 135, 67, 601, 369, 3369, 5505, 2049, 24099, 22515, 96575}},
-{7023, 17, 11077, {1, 1, 1, 3, 3, 45, 29, 255, 327, 77, 1103, 4067, 2875, 6487, 5903, 26625, 19631}},
-{7024, 17, 11078, {1, 3, 5, 1, 31, 63, 115, 7, 255, 855, 913, 1779, 7001, 14387, 26765, 51987, 3191}},
-{7025, 17, 11105, {1, 1, 3, 11, 15, 43, 71, 247, 303, 231, 445, 3963, 3699, 11851, 18941, 43465, 63431}},
-{7026, 17, 11106, {1, 1, 3, 5, 31, 33, 93, 127, 267, 399, 653, 1997, 5005, 14535, 4813, 64065, 2159}},
-{7027, 17, 11126, {1, 3, 7, 13, 31, 39, 61, 155, 141, 515, 1217, 161, 4309, 3697, 22445, 43599, 43329}},
-{7028, 17, 11129, {1, 3, 3, 3, 7, 51, 103, 147, 511, 971, 195, 3731, 6629, 12125, 12053, 34951, 60059}},
-{7029, 17, 11135, {1, 1, 5, 11, 21, 49, 99, 31, 55, 309, 1805, 2253, 7095, 15265, 28445, 54813, 48615}},
-{7030, 17, 11151, {1, 3, 1, 15, 9, 41, 61, 125, 65, 143, 1567, 3259, 6757, 653, 31601, 63127, 52179}},
-{7031, 17, 11159, {1, 1, 5, 3, 29, 5, 19, 197, 153, 447, 7, 1713, 469, 6043, 1259, 63641, 29171}},
-{7032, 17, 11165, {1, 3, 3, 7, 3, 41, 95, 245, 445, 15, 607, 565, 2361, 2673, 21077, 20153, 6199}},
-{7033, 17, 11176, {1, 1, 5, 1, 5, 59, 93, 127, 485, 663, 683, 635, 1599, 16377, 31819, 6539, 27789}},
-{7034, 17, 11179, {1, 3, 1, 3, 31, 3, 11, 215, 441, 1005, 1815, 3945, 5109, 5539, 23935, 62671, 90731}},
-{7035, 17, 11182, {1, 3, 3, 1, 13, 47, 19, 229, 191, 427, 1141, 2321, 7105, 1587, 26347, 63265, 23377}},
-{7036, 17, 11189, {1, 1, 5, 15, 31, 55, 61, 93, 89, 945, 1203, 3631, 4457, 15097, 32019, 41747, 46009}},
-{7037, 17, 11204, {1, 1, 5, 13, 5, 33, 69, 59, 93, 247, 503, 421, 1923, 9855, 9825, 14257, 98663}},
-{7038, 17, 11216, {1, 3, 1, 13, 27, 21, 91, 39, 131, 571, 1527, 2715, 2061, 627, 19705, 47165, 84345}},
-{7039, 17, 11232, {1, 1, 1, 7, 3, 3, 7, 251, 225, 959, 1017, 2423, 6163, 1549, 7473, 3193, 104259}},
-{7040, 17, 11235, {1, 3, 3, 1, 5, 5, 115, 221, 505, 649, 1525, 2459, 167, 1899, 23939, 29253, 122835}},
-{7041, 17, 11242, {1, 3, 1, 5, 15, 9, 123, 221, 133, 43, 31, 1211, 4737, 5001, 20065, 6369, 93865}},
-{7042, 17, 11250, {1, 1, 5, 11, 11, 5, 23, 29, 333, 133, 1469, 1895, 5879, 15599, 2131, 25005, 96271}},
-{7043, 17, 11264, {1, 1, 3, 11, 25, 11, 19, 57, 397, 645, 1233, 2433, 6371, 10577, 15489, 60709, 3957}},
-{7044, 17, 11273, {1, 3, 1, 1, 19, 3, 33, 131, 429, 835, 1363, 2213, 3185, 14385, 8831, 43159, 32975}},
-{7045, 17, 11282, {1, 1, 5, 5, 23, 11, 127, 139, 213, 259, 897, 1913, 5737, 1287, 26617, 4885, 30193}},
-{7046, 17, 11288, {1, 3, 5, 13, 3, 27, 99, 31, 11, 27, 1003, 2473, 7055, 12923, 4269, 41433, 90637}},
-{7047, 17, 11291, {1, 3, 1, 7, 17, 25, 95, 151, 199, 237, 207, 1879, 2943, 9845, 3765, 53533, 111191}},
-{7048, 17, 11293, {1, 3, 1, 9, 19, 27, 5, 249, 85, 185, 1883, 1401, 2041, 12721, 20593, 30993, 2601}},
-{7049, 17, 11318, {1, 3, 3, 9, 23, 1, 15, 133, 387, 779, 707, 2723, 4485, 989, 27125, 37295, 125319}},
-{7050, 17, 11321, {1, 1, 7, 3, 9, 41, 81, 151, 349, 941, 357, 3817, 7123, 10079, 27519, 107, 102281}},
-{7051, 17, 11329, {1, 1, 1, 1, 13, 5, 111, 167, 73, 85, 1185, 1213, 333, 153, 13101, 38087, 39389}},
-{7052, 17, 11336, {1, 3, 3, 15, 11, 41, 99, 231, 377, 539, 1335, 1059, 5373, 9611, 27927, 29801, 85749}},
-{7053, 17, 11339, {1, 3, 1, 9, 19, 37, 125, 27, 15, 699, 1867, 2711, 1589, 1675, 32007, 61339, 96919}},
-{7054, 17, 11342, {1, 3, 3, 3, 3, 27, 21, 159, 249, 783, 1517, 2923, 2609, 1207, 13705, 57371, 43603}},
-{7055, 17, 11356, {1, 1, 5, 15, 17, 55, 77, 1, 401, 897, 987, 345, 5283, 5827, 17755, 44371, 13253}},
-{7056, 17, 11383, {1, 3, 1, 7, 3, 3, 99, 237, 487, 405, 771, 3503, 1199, 4779, 26893, 45821, 46383}},
-{7057, 17, 11389, {1, 1, 7, 3, 9, 47, 81, 27, 459, 989, 1891, 3997, 4081, 4075, 15079, 65081, 125185}},
-{7058, 17, 11405, {1, 3, 5, 9, 25, 23, 71, 251, 251, 197, 353, 3553, 2165, 2953, 3733, 52369, 100641}},
-{7059, 17, 11411, {1, 1, 1, 5, 25, 43, 63, 187, 495, 345, 1547, 2293, 7327, 7797, 14001, 61865, 40329}},
-{7060, 17, 11423, {1, 1, 5, 15, 25, 37, 67, 23, 315, 801, 71, 1235, 7293, 7207, 30929, 9417, 94735}},
-{7061, 17, 11424, {1, 1, 1, 3, 23, 29, 87, 171, 337, 457, 1597, 3933, 4151, 1237, 19563, 56997, 81497}},
-{7062, 17, 11430, {1, 3, 3, 11, 3, 33, 79, 239, 277, 611, 205, 2283, 7459, 425, 21999, 26491, 58681}},
-{7063, 17, 11444, {1, 1, 7, 1, 5, 37, 53, 93, 205, 97, 779, 3623, 7777, 521, 21915, 46539, 128811}},
-{7064, 17, 11447, {1, 1, 5, 7, 19, 7, 39, 183, 299, 193, 1351, 3867, 5709, 11655, 1231, 15555, 128023}},
-{7065, 17, 11459, {1, 3, 7, 11, 31, 13, 113, 57, 197, 841, 921, 2087, 2195, 8279, 8353, 1955, 22121}},
-{7066, 17, 11465, {1, 3, 3, 11, 21, 55, 61, 105, 357, 747, 363, 3511, 2547, 16283, 25747, 56041, 33695}},
-{7067, 17, 11473, {1, 3, 3, 13, 27, 13, 5, 27, 93, 691, 1869, 2331, 3131, 14411, 2355, 37195, 129273}},
-{7068, 17, 11479, {1, 3, 3, 7, 27, 9, 11, 165, 435, 811, 215, 1617, 347, 4289, 29373, 15749, 91445}},
-{7069, 17, 11501, {1, 1, 7, 13, 29, 3, 95, 53, 457, 633, 959, 3705, 7461, 9307, 21963, 51599, 6751}},
-{7070, 17, 11510, {1, 1, 1, 15, 29, 25, 95, 1, 125, 61, 683, 2067, 6485, 9095, 5571, 61281, 70865}},
-{7071, 17, 11514, {1, 1, 7, 7, 1, 35, 119, 107, 247, 991, 237, 1865, 3961, 12583, 11417, 14913, 90897}},
-{7072, 17, 11522, {1, 3, 7, 15, 11, 51, 73, 193, 289, 381, 1767, 3803, 3197, 3797, 15059, 19393, 98947}},
-{7073, 17, 11527, {1, 1, 5, 3, 13, 7, 91, 223, 347, 59, 1721, 1501, 6391, 4141, 14495, 47283, 47237}},
-{7074, 17, 11533, {1, 3, 7, 11, 17, 39, 43, 247, 35, 423, 1859, 3199, 5343, 7061, 8609, 6819, 88575}},
-{7075, 17, 11536, {1, 1, 5, 13, 31, 27, 57, 19, 499, 1007, 1965, 795, 1231, 12755, 24631, 53343, 82305}},
-{7076, 17, 11548, {1, 1, 1, 9, 13, 23, 127, 161, 245, 467, 2025, 2545, 3085, 13035, 27087, 14461, 35971}},
-{7077, 17, 11551, {1, 3, 5, 1, 7, 3, 99, 159, 75, 341, 1755, 2337, 5981, 5055, 19445, 30043, 61427}},
-{7078, 17, 11552, {1, 1, 1, 7, 13, 33, 41, 73, 267, 21, 961, 3509, 6839, 13215, 8471, 46735, 93071}},
-{7079, 17, 11555, {1, 3, 7, 7, 3, 25, 81, 239, 357, 445, 1483, 389, 3891, 5131, 21357, 34757, 111063}},
-{7080, 17, 11572, {1, 3, 7, 1, 1, 37, 119, 121, 195, 935, 1711, 2049, 7001, 7117, 9957, 7309, 102293}},
-{7081, 17, 11587, {1, 1, 7, 11, 1, 49, 107, 95, 149, 329, 289, 1121, 7217, 15091, 19071, 13801, 13}},
-{7082, 17, 11601, {1, 1, 1, 13, 17, 17, 7, 105, 81, 1017, 1867, 1567, 5133, 7325, 19797, 16301, 40471}},
-{7083, 17, 11613, {1, 3, 5, 5, 27, 45, 117, 135, 499, 53, 973, 121, 53, 8771, 11893, 35827, 57691}},
-{7084, 17, 11614, {1, 1, 1, 1, 7, 23, 11, 163, 17, 871, 129, 2959, 5583, 12253, 1419, 28367, 32539}},
-{7085, 17, 11618, {1, 1, 3, 5, 23, 31, 127, 33, 115, 799, 331, 1873, 1729, 1383, 23601, 51145, 72027}},
-{7086, 17, 11624, {1, 1, 1, 9, 15, 49, 105, 163, 51, 539, 451, 3983, 6509, 1073, 30757, 13971, 51371}},
-{7087, 17, 11630, {1, 1, 7, 1, 1, 57, 71, 135, 5, 171, 983, 951, 777, 9257, 3607, 3239, 76237}},
-{7088, 17, 11663, {1, 1, 7, 7, 21, 17, 49, 175, 9, 807, 289, 2777, 7309, 14911, 28349, 43871, 96019}},
-{7089, 17, 11682, {1, 3, 1, 13, 5, 7, 83, 215, 297, 319, 347, 633, 7285, 8293, 18811, 31065, 114077}},
-{7090, 17, 11684, {1, 3, 1, 11, 3, 29, 91, 231, 161, 601, 355, 2719, 2941, 6065, 21849, 58051, 46515}},
-{7091, 17, 11702, {1, 1, 3, 9, 25, 41, 111, 135, 71, 755, 29, 131, 1339, 5053, 15713, 14557, 106777}},
-{7092, 17, 11705, {1, 1, 7, 13, 21, 59, 13, 45, 503, 71, 1611, 4021, 2359, 11653, 7261, 14537, 33031}},
-{7093, 17, 11713, {1, 1, 1, 11, 5, 31, 1, 181, 37, 527, 1345, 1979, 4899, 3289, 25181, 49959, 44609}},
-{7094, 17, 11731, {1, 3, 3, 13, 21, 25, 33, 105, 57, 637, 841, 1595, 3881, 5053, 9441, 58717, 127255}},
-{7095, 17, 11734, {1, 3, 5, 7, 23, 57, 9, 117, 281, 769, 1573, 2857, 1139, 6413, 14001, 21097, 55215}},
-{7096, 17, 11740, {1, 1, 7, 7, 3, 5, 75, 149, 269, 353, 437, 61, 2451, 11987, 17243, 5649, 105107}},
-{7097, 17, 11747, {1, 1, 3, 3, 25, 61, 53, 21, 113, 57, 1415, 2825, 11, 14977, 6159, 4181, 96765}},
-{7098, 17, 11754, {1, 1, 7, 5, 15, 25, 121, 159, 71, 773, 601, 147, 6507, 16171, 16607, 32017, 77845}},
-{7099, 17, 11761, {1, 3, 1, 1, 27, 19, 59, 109, 347, 991, 165, 683, 6147, 493, 22017, 19069, 52857}},
-{7100, 17, 11762, {1, 1, 5, 5, 21, 1, 93, 115, 407, 15, 421, 1305, 3495, 14287, 31831, 65347, 35339}},
-{7101, 17, 11787, {1, 3, 5, 11, 29, 35, 87, 27, 453, 769, 1991, 2757, 2607, 9225, 293, 49441, 18185}},
-{7102, 17, 11792, {1, 1, 5, 3, 23, 41, 67, 195, 499, 903, 197, 1121, 4691, 9277, 29225, 34597, 37395}},
-{7103, 17, 11814, {1, 1, 7, 7, 21, 7, 65, 245, 241, 909, 1063, 2271, 1979, 10287, 1747, 61523, 72969}},
-{7104, 17, 11823, {1, 3, 1, 13, 23, 25, 3, 89, 385, 481, 1463, 3431, 6907, 1129, 3519, 35789, 82585}},
-{7105, 17, 11825, {1, 3, 5, 3, 31, 17, 11, 209, 77, 991, 885, 3341, 6895, 3429, 21611, 38555, 35475}},
-{7106, 17, 11837, {1, 1, 3, 1, 9, 61, 27, 219, 433, 787, 281, 1155, 2915, 4449, 30881, 34461, 15357}},
-{7107, 17, 11838, {1, 1, 3, 15, 27, 55, 51, 101, 117, 799, 1475, 4013, 5145, 14991, 27847, 49537, 57339}},
-{7108, 17, 11846, {1, 3, 7, 13, 13, 9, 13, 167, 283, 883, 1501, 2635, 1463, 3353, 14961, 30349, 62043}},
-{7109, 17, 11855, {1, 1, 7, 3, 3, 47, 119, 37, 389, 655, 701, 2471, 5749, 6645, 845, 27065, 82299}},
-{7110, 17, 11864, {1, 1, 7, 15, 27, 5, 95, 195, 227, 991, 1137, 3715, 4901, 9459, 1917, 43857, 126505}},
-{7111, 17, 11876, {1, 3, 7, 5, 29, 35, 45, 165, 361, 257, 641, 1265, 6533, 11333, 26081, 12621, 66909}},
-{7112, 17, 11885, {1, 1, 1, 11, 19, 55, 73, 137, 29, 355, 725, 1161, 6717, 2035, 19769, 43531, 72577}},
-{7113, 17, 11904, {1, 3, 7, 5, 19, 3, 99, 17, 387, 621, 137, 117, 6567, 7667, 14979, 17981, 68319}},
-{7114, 17, 11909, {1, 1, 5, 5, 7, 53, 31, 33, 245, 371, 691, 2763, 95, 16369, 7853, 29839, 34957}},
-{7115, 17, 11913, {1, 1, 3, 1, 9, 1, 83, 177, 17, 141, 1739, 1791, 3849, 3093, 22271, 53755, 7817}},
-{7116, 17, 11916, {1, 3, 3, 1, 3, 51, 71, 69, 439, 987, 807, 3353, 4747, 16031, 29591, 61091, 95675}},
-{7117, 17, 11940, {1, 3, 5, 1, 17, 47, 51, 211, 7, 5, 1751, 1735, 1647, 13389, 13861, 49427, 13577}},
-{7118, 17, 11943, {1, 3, 7, 5, 11, 23, 17, 55, 11, 61, 809, 927, 6533, 1509, 29261, 21555, 55075}},
-{7119, 17, 11972, {1, 3, 1, 1, 15, 51, 37, 47, 183, 117, 597, 3225, 1435, 13359, 19127, 17339, 17345}},
-{7120, 17, 11981, {1, 1, 5, 3, 5, 11, 33, 179, 295, 129, 29, 713, 1561, 27, 21087, 50305, 39253}},
-{7121, 17, 11990, {1, 1, 5, 7, 17, 25, 105, 241, 41, 915, 1223, 2625, 617, 10983, 10749, 2137, 101831}},
-{7122, 17, 11993, {1, 3, 5, 7, 15, 15, 85, 23, 193, 625, 1803, 2903, 1935, 523, 8377, 12165, 105851}},
-{7123, 17, 12000, {1, 3, 3, 7, 3, 35, 5, 107, 191, 855, 405, 1659, 5523, 5011, 6401, 45187, 31345}},
-{7124, 17, 12005, {1, 3, 3, 1, 9, 21, 103, 75, 501, 669, 547, 3685, 411, 2663, 14743, 13869, 124389}},
-{7125, 17, 12015, {1, 3, 5, 13, 15, 37, 39, 79, 19, 165, 1685, 1367, 5951, 12303, 13423, 51083, 119933}},
-{7126, 17, 12020, {1, 1, 3, 1, 7, 25, 1, 221, 415, 591, 859, 1457, 1789, 2269, 15947, 31913, 86397}},
-{7127, 17, 12038, {1, 3, 7, 15, 11, 49, 15, 171, 45, 925, 407, 1719, 4505, 5695, 17397, 28849, 77}},
-{7128, 17, 12042, {1, 1, 3, 11, 21, 33, 91, 115, 263, 141, 753, 3335, 7695, 1981, 6029, 22629, 2467}},
-{7129, 17, 12056, {1, 3, 5, 3, 25, 5, 21, 67, 429, 323, 223, 2395, 761, 14817, 12387, 37905, 19551}},
-{7130, 17, 12065, {1, 3, 1, 15, 31, 43, 35, 255, 73, 533, 1093, 965, 557, 607, 6913, 35283, 12261}},
-{7131, 17, 12066, {1, 3, 1, 15, 25, 13, 39, 83, 77, 269, 1205, 1577, 4095, 6669, 8643, 48807, 98227}},
-{7132, 17, 12072, {1, 3, 3, 7, 31, 57, 25, 177, 441, 973, 1255, 675, 5579, 4899, 27925, 52555, 70845}},
-{7133, 17, 12080, {1, 3, 1, 5, 13, 47, 15, 75, 387, 461, 1909, 841, 7, 9567, 913, 41411, 12565}},
-{7134, 17, 12083, {1, 1, 5, 7, 5, 21, 17, 189, 319, 645, 403, 2723, 6747, 15471, 26533, 12709, 49417}},
-{7135, 17, 12090, {1, 1, 5, 7, 7, 41, 99, 179, 137, 435, 1061, 3987, 4583, 4101, 23781, 54263, 36695}},
-{7136, 17, 12092, {1, 3, 1, 11, 19, 37, 125, 177, 111, 921, 1003, 1433, 1399, 3991, 28193, 40471, 97041}},
-{7137, 17, 12103, {1, 1, 7, 1, 5, 33, 7, 139, 127, 413, 1171, 2237, 265, 10145, 18793, 28957, 25037}},
-{7138, 17, 12109, {1, 3, 1, 1, 25, 37, 13, 17, 471, 195, 1645, 3165, 5635, 8433, 28507, 453, 107709}},
-{7139, 17, 12112, {1, 3, 3, 11, 1, 55, 119, 97, 243, 371, 95, 97, 7833, 777, 12177, 1861, 56323}},
-{7140, 17, 12117, {1, 1, 7, 5, 7, 29, 59, 219, 405, 411, 275, 111, 4899, 10367, 24331, 57295, 47065}},
-{7141, 17, 12121, {1, 1, 3, 3, 19, 23, 91, 111, 221, 195, 1013, 3001, 3227, 6359, 30383, 49699, 49157}},
-{7142, 17, 12137, {1, 1, 5, 7, 1, 21, 125, 23, 177, 291, 249, 861, 1899, 14101, 5079, 5211, 14373}},
-{7143, 17, 12143, {1, 1, 7, 11, 11, 59, 33, 41, 291, 919, 253, 609, 1657, 14633, 15189, 22245, 99815}},
-{7144, 17, 12145, {1, 3, 5, 3, 23, 49, 71, 137, 393, 343, 1845, 343, 5853, 6639, 17435, 62143, 76041}},
-{7145, 17, 12148, {1, 1, 5, 3, 9, 27, 55, 193, 25, 965, 1453, 2739, 3785, 12497, 29607, 11111, 25145}},
-{7146, 17, 12168, {1, 1, 1, 1, 29, 11, 111, 73, 491, 629, 405, 2779, 5313, 589, 1459, 47555, 67945}},
-{7147, 17, 12174, {1, 3, 1, 7, 13, 21, 99, 75, 79, 963, 207, 1725, 6875, 8359, 10573, 45219, 130463}},
-{7148, 17, 12188, {1, 3, 7, 13, 1, 17, 105, 227, 487, 891, 1053, 1333, 7651, 5415, 18661, 22085, 82055}},
-{7149, 17, 12191, {1, 1, 3, 3, 31, 27, 91, 93, 383, 331, 965, 3035, 4931, 13265, 9729, 28985, 118227}},
-{7150, 17, 12192, {1, 3, 1, 1, 11, 9, 59, 191, 253, 909, 301, 3811, 255, 14937, 28627, 54509, 95993}},
-{7151, 17, 12201, {1, 3, 3, 5, 11, 5, 105, 77, 323, 713, 637, 1857, 2697, 12473, 12261, 2933, 101287}},
-{7152, 17, 12224, {1, 3, 3, 11, 9, 63, 19, 19, 213, 859, 1479, 2849, 1067, 5749, 13511, 14933, 11125}},
-{7153, 17, 12230, {1, 1, 5, 9, 19, 19, 13, 49, 237, 511, 533, 543, 575, 8095, 27335, 18847, 18173}},
-{7154, 17, 12239, {1, 3, 5, 5, 9, 53, 47, 157, 35, 827, 637, 2327, 787, 5269, 5145, 10135, 111273}},
-{7155, 17, 12242, {1, 3, 3, 7, 27, 41, 69, 173, 53, 655, 809, 481, 6999, 3101, 20781, 2481, 94957}},
-{7156, 17, 12251, {1, 1, 5, 11, 17, 23, 95, 201, 363, 613, 863, 1365, 1131, 15417, 20705, 8283, 55235}},
-{7157, 17, 12258, {1, 1, 5, 13, 3, 15, 37, 219, 291, 595, 1665, 1861, 1953, 15385, 20569, 46085, 15163}},
-{7158, 17, 12264, {1, 3, 3, 11, 23, 43, 125, 133, 85, 45, 819, 243, 7325, 8723, 1499, 58139, 120353}},
-{7159, 17, 12310, {1, 1, 1, 11, 21, 49, 91, 145, 175, 619, 1817, 3533, 8155, 7521, 30361, 45431, 130175}},
-{7160, 17, 12319, {1, 1, 3, 1, 11, 59, 57, 51, 37, 903, 1221, 3813, 8043, 14165, 31503, 7905, 61515}},
-{7161, 17, 12323, {1, 1, 1, 1, 15, 9, 115, 175, 285, 839, 97, 3119, 719, 15283, 22947, 25417, 40665}},
-{7162, 17, 12325, {1, 3, 1, 7, 5, 49, 127, 111, 373, 747, 393, 2351, 4577, 15227, 23149, 16901, 80253}},
-{7163, 17, 12332, {1, 1, 5, 3, 15, 5, 95, 197, 251, 275, 831, 1389, 3907, 12343, 11599, 24369, 65361}},
-{7164, 17, 12343, {1, 3, 7, 5, 25, 37, 11, 75, 417, 789, 745, 811, 2189, 15381, 4785, 41657, 2897}},
-{7165, 17, 12344, {1, 3, 1, 13, 29, 55, 55, 33, 279, 383, 1645, 975, 4683, 1357, 1149, 30271, 90527}},
-{7166, 17, 12352, {1, 3, 5, 3, 5, 3, 79, 61, 371, 225, 141, 369, 1037, 12249, 29431, 37253, 9899}},
-{7167, 17, 12370, {1, 1, 3, 13, 13, 7, 127, 147, 507, 119, 1085, 1949, 6289, 10179, 10107, 55989, 74395}},
-{7168, 17, 12388, {1, 3, 1, 7, 21, 35, 53, 209, 103, 365, 683, 553, 4977, 14371, 24037, 11453, 45369}},
-{7169, 17, 12395, {1, 1, 5, 11, 27, 39, 41, 145, 437, 55, 893, 2375, 4977, 5451, 21225, 46815, 1423}},
-{7170, 17, 12403, {1, 3, 5, 1, 23, 53, 113, 75, 209, 323, 1975, 3809, 1829, 14625, 3821, 53773, 129173}},
-{7171, 17, 12409, {1, 1, 5, 3, 7, 51, 97, 73, 289, 481, 339, 1375, 3101, 4395, 13933, 33267, 68115}},
-{7172, 17, 12410, {1, 3, 5, 1, 5, 45, 83, 57, 3, 667, 109, 3979, 6447, 8603, 20147, 49291, 18023}},
-{7173, 17, 12415, {1, 3, 7, 1, 11, 7, 45, 233, 65, 745, 1009, 2979, 5965, 10681, 3499, 23077, 87479}},
-{7174, 17, 12419, {1, 3, 3, 3, 13, 25, 25, 189, 197, 83, 1429, 2857, 2877, 8577, 24811, 33049, 46009}},
-{7175, 17, 12426, {1, 1, 1, 7, 11, 47, 47, 255, 89, 625, 449, 3747, 2035, 3509, 4901, 2961, 14073}},
-{7176, 17, 12439, {1, 1, 1, 13, 9, 55, 35, 47, 389, 573, 847, 1037, 1345, 5487, 7575, 57435, 77303}},
-{7177, 17, 12445, {1, 1, 5, 11, 25, 51, 113, 109, 79, 339, 95, 2049, 5881, 13209, 20041, 26419, 110319}},
-{7178, 17, 12459, {1, 1, 7, 1, 27, 15, 93, 145, 253, 917, 1211, 2221, 1087, 14209, 32097, 20083, 67841}},
-{7179, 17, 12464, {1, 1, 3, 15, 13, 19, 67, 107, 75, 919, 2047, 3675, 6231, 1243, 14335, 35939, 17281}},
-{7180, 17, 12474, {1, 3, 7, 5, 27, 47, 53, 239, 475, 231, 1645, 825, 4039, 15985, 10853, 32951, 34985}},
-{7181, 17, 12484, {1, 1, 7, 5, 15, 61, 107, 93, 51, 221, 717, 2859, 7885, 9571, 11841, 45143, 33723}},
-{7182, 17, 12491, {1, 1, 7, 7, 9, 25, 63, 25, 47, 55, 2041, 3965, 215, 14857, 31669, 54775, 42157}},
-{7183, 17, 12501, {1, 3, 5, 1, 5, 45, 123, 109, 471, 599, 479, 475, 3499, 11963, 23709, 18851, 66861}},
-{7184, 17, 12505, {1, 3, 3, 3, 5, 29, 71, 81, 315, 329, 1471, 3995, 623, 5871, 11171, 15645, 97251}},
-{7185, 17, 12508, {1, 1, 7, 11, 15, 15, 101, 173, 445, 871, 765, 1121, 1937, 13055, 7309, 54175, 85559}},
-{7186, 17, 12511, {1, 3, 5, 7, 7, 13, 43, 237, 361, 981, 19, 3113, 4681, 3313, 19147, 35193, 87281}},
-{7187, 17, 12521, {1, 3, 5, 3, 27, 13, 37, 51, 233, 573, 1599, 2807, 7149, 12083, 28927, 7797, 130879}},
-{7188, 17, 12522, {1, 1, 1, 13, 31, 63, 127, 89, 209, 717, 1075, 3887, 1427, 87, 18565, 39973, 55025}},
-{7189, 17, 12530, {1, 3, 1, 5, 15, 11, 121, 247, 273, 613, 1857, 2059, 7399, 13951, 9025, 39523, 68121}},
-{7190, 17, 12544, {1, 3, 7, 13, 31, 9, 61, 143, 375, 433, 471, 1315, 5299, 1167, 10099, 11445, 51693}},
-{7191, 17, 12547, {1, 1, 7, 9, 25, 31, 125, 5, 13, 595, 621, 3551, 7959, 10643, 14345, 37683, 118377}},
-{7192, 17, 12561, {1, 1, 5, 11, 1, 33, 45, 31, 447, 229, 893, 3777, 4101, 2505, 4855, 14057, 20133}},
-{7193, 17, 12571, {1, 1, 1, 1, 7, 23, 89, 53, 483, 873, 521, 2115, 1461, 11241, 1003, 28749, 68227}},
-{7194, 17, 12580, {1, 3, 5, 5, 3, 17, 23, 219, 281, 975, 895, 4043, 6505, 5991, 27401, 38791, 89239}},
-{7195, 17, 12597, {1, 1, 1, 7, 29, 41, 63, 151, 195, 495, 469, 305, 7437, 1107, 31147, 30755, 116551}},
-{7196, 17, 12607, {1, 3, 7, 3, 13, 25, 33, 193, 23, 135, 3, 513, 4169, 15355, 2255, 32167, 68691}},
-{7197, 17, 12609, {1, 3, 3, 11, 29, 19, 125, 177, 83, 361, 393, 663, 1859, 1333, 17507, 10661, 72387}},
-{7198, 17, 12610, {1, 1, 5, 11, 23, 13, 61, 33, 149, 145, 995, 649, 7587, 6743, 25225, 54997, 10193}},
-{7199, 17, 12616, {1, 1, 7, 13, 29, 51, 107, 79, 467, 881, 1227, 1083, 3277, 2559, 26819, 57311, 48095}},
-{7200, 17, 12621, {1, 3, 1, 1, 1, 19, 23, 25, 239, 703, 119, 2525, 8079, 5433, 8989, 42517, 116755}},
-{7201, 17, 12624, {1, 1, 7, 11, 31, 9, 9, 113, 381, 363, 447, 3751, 7523, 15995, 3853, 42069, 81455}},
-{7202, 17, 12639, {1, 1, 5, 9, 29, 41, 103, 179, 477, 527, 1593, 3003, 1095, 6823, 6911, 44987, 32445}},
-{7203, 17, 12645, {1, 1, 7, 15, 5, 31, 55, 181, 149, 127, 1745, 2753, 801, 285, 20199, 33707, 118397}},
-{7204, 17, 12652, {1, 3, 7, 7, 11, 29, 89, 215, 351, 303, 1519, 2593, 2045, 14699, 1657, 40799, 39641}},
-{7205, 17, 12655, {1, 1, 7, 13, 3, 35, 73, 111, 15, 803, 1819, 3453, 3611, 8337, 14239, 14875, 83983}},
-{7206, 17, 12660, {1, 1, 5, 15, 15, 49, 27, 101, 149, 3, 717, 2229, 7397, 6579, 10965, 35997, 28823}},
-{7207, 17, 12667, {1, 1, 5, 7, 3, 17, 49, 245, 343, 657, 15, 749, 6413, 10811, 2909, 47309, 34613}},
-{7208, 17, 12686, {1, 3, 5, 15, 13, 35, 67, 99, 481, 379, 2003, 3367, 3065, 5845, 7799, 43931, 15263}},
-{7209, 17, 12688, {1, 1, 5, 13, 21, 49, 81, 77, 395, 919, 1931, 661, 123, 9965, 10487, 55131, 1567}},
-{7210, 17, 12697, {1, 3, 5, 11, 23, 39, 41, 121, 159, 473, 191, 1983, 6411, 10503, 10523, 40601, 64153}},
-{7211, 17, 12700, {1, 1, 5, 7, 9, 37, 73, 207, 497, 789, 1671, 325, 1697, 11281, 31185, 4961, 124431}},
-{7212, 17, 12707, {1, 1, 5, 15, 7, 51, 71, 91, 449, 707, 621, 2427, 627, 1747, 12779, 17569, 98289}},
-{7213, 17, 12710, {1, 1, 5, 5, 31, 3, 89, 163, 77, 647, 1747, 2965, 1669, 3311, 17651, 8111, 30739}},
-{7214, 17, 12719, {1, 1, 3, 11, 15, 31, 77, 173, 405, 913, 459, 2955, 6153, 13391, 20439, 64433, 12371}},
-{7215, 17, 12739, {1, 1, 3, 11, 13, 55, 29, 37, 379, 689, 407, 1373, 397, 5027, 15497, 25687, 48193}},
-{7216, 17, 12742, {1, 3, 3, 15, 13, 7, 81, 207, 395, 901, 779, 1683, 2491, 3807, 31979, 32403, 81113}},
-{7217, 17, 12746, {1, 3, 3, 13, 29, 31, 25, 81, 459, 991, 793, 3285, 2775, 16199, 11423, 52597, 86041}},
-{7218, 17, 12754, {1, 3, 3, 13, 17, 17, 101, 183, 19, 735, 671, 1097, 2461, 9863, 25985, 31915, 73047}},
-{7219, 17, 12765, {1, 3, 3, 3, 3, 11, 71, 63, 429, 899, 351, 1275, 3907, 14241, 19135, 14875, 43325}},
-{7220, 17, 12772, {1, 1, 7, 11, 11, 61, 15, 213, 411, 13, 1409, 1741, 5257, 8729, 28351, 6381, 77501}},
-{7221, 17, 12784, {1, 1, 7, 7, 29, 27, 51, 217, 411, 261, 599, 3027, 7871, 9133, 32423, 44275, 34701}},
-{7222, 17, 12789, {1, 3, 7, 7, 1, 1, 127, 209, 151, 845, 1421, 3115, 7775, 10133, 6163, 41165, 91187}},
-{7223, 17, 12800, {1, 3, 1, 9, 1, 35, 75, 3, 81, 477, 131, 1383, 1377, 6857, 3863, 12583, 7855}},
-{7224, 17, 12805, {1, 3, 1, 3, 3, 11, 1, 167, 347, 317, 557, 3763, 7175, 13341, 759, 23275, 78039}},
-{7225, 17, 12809, {1, 3, 5, 11, 19, 53, 85, 139, 67, 757, 487, 919, 6001, 16031, 24959, 28013, 65771}},
-{7226, 17, 12815, {1, 1, 1, 1, 23, 9, 83, 55, 249, 305, 1305, 109, 5559, 5129, 30973, 19889, 6691}},
-{7227, 17, 12827, {1, 1, 1, 3, 21, 19, 85, 89, 213, 847, 861, 1651, 6613, 6001, 8157, 2555, 98673}},
-{7228, 17, 12830, {1, 1, 1, 15, 25, 15, 125, 133, 177, 295, 549, 1763, 2811, 4381, 1079, 7813, 87909}},
-{7229, 17, 12833, {1, 1, 1, 5, 5, 17, 25, 225, 353, 997, 1565, 2225, 7265, 16227, 28209, 9011, 97193}},
-{7230, 17, 12840, {1, 3, 7, 15, 13, 13, 35, 239, 331, 965, 1547, 1627, 6409, 7745, 30899, 36915, 59293}},
-{7231, 17, 12851, {1, 1, 1, 13, 27, 45, 23, 179, 193, 801, 381, 3783, 3551, 11855, 11041, 49911, 62101}},
-{7232, 17, 12868, {1, 1, 7, 3, 3, 31, 61, 5, 421, 939, 1637, 217, 389, 1797, 32141, 28817, 6997}},
-{7233, 17, 12871, {1, 3, 3, 5, 21, 31, 83, 65, 421, 577, 1137, 2561, 2943, 4171, 2803, 23325, 92315}},
-{7234, 17, 12886, {1, 1, 3, 3, 27, 33, 75, 81, 477, 3, 1903, 773, 5551, 10069, 7285, 58103, 98311}},
-{7235, 17, 12899, {1, 3, 7, 15, 1, 17, 95, 209, 65, 747, 1633, 581, 7395, 1393, 21795, 15735, 129757}},
-{7236, 17, 12923, {1, 3, 5, 3, 17, 3, 9, 131, 51, 693, 1571, 1865, 8137, 915, 13345, 35137, 59005}},
-{7237, 17, 12926, {1, 1, 3, 7, 23, 27, 61, 163, 449, 87, 717, 1075, 4309, 4887, 11741, 24549, 96729}},
-{7238, 17, 12932, {1, 3, 7, 13, 21, 5, 3, 97, 191, 999, 1193, 1215, 5907, 10491, 2281, 6455, 68625}},
-{7239, 17, 12935, {1, 1, 5, 7, 9, 9, 101, 5, 375, 137, 1473, 1265, 5307, 259, 20699, 25367, 129393}},
-{7240, 17, 12939, {1, 3, 7, 7, 21, 1, 77, 65, 23, 139, 945, 491, 1069, 253, 12335, 26861, 129467}},
-{7241, 17, 12942, {1, 1, 3, 9, 15, 33, 85, 225, 45, 311, 281, 1601, 7325, 12265, 2591, 51955, 130681}},
-{7242, 17, 12953, {1, 1, 1, 3, 27, 33, 17, 89, 495, 91, 527, 3347, 7883, 9481, 28731, 54729, 15265}},
-{7243, 17, 12959, {1, 1, 3, 3, 9, 47, 115, 161, 299, 493, 1857, 3597, 7175, 15603, 11523, 33837, 57557}},
-{7244, 17, 12960, {1, 3, 7, 3, 15, 47, 127, 195, 391, 869, 99, 429, 7125, 10413, 5063, 61845, 71843}},
-{7245, 17, 13002, {1, 3, 3, 1, 7, 31, 27, 69, 7, 83, 315, 2749, 5693, 13377, 28091, 13065, 111029}},
-{7246, 17, 13004, {1, 1, 3, 15, 15, 45, 125, 229, 459, 611, 1167, 3375, 3587, 81, 9275, 45327, 39749}},
-{7247, 17, 13016, {1, 3, 7, 11, 9, 3, 43, 161, 221, 209, 51, 1475, 3577, 13973, 15285, 35553, 83935}},
-{7248, 17, 13021, {1, 1, 7, 9, 15, 55, 25, 119, 39, 537, 317, 1331, 2161, 1791, 19221, 63459, 124595}},
-{7249, 17, 13035, {1, 1, 1, 11, 9, 7, 113, 187, 295, 67, 1795, 113, 119, 9127, 32119, 7719, 67591}},
-{7250, 17, 13038, {1, 3, 7, 13, 1, 53, 17, 19, 331, 711, 359, 2945, 5847, 7237, 23617, 17411, 2203}},
-{7251, 17, 13052, {1, 3, 3, 7, 21, 63, 115, 159, 225, 161, 1255, 2381, 7411, 95, 1625, 30493, 56685}},
-{7252, 17, 13058, {1, 1, 5, 9, 13, 57, 5, 107, 195, 271, 677, 2081, 6027, 11091, 14171, 19007, 102119}},
-{7253, 17, 13069, {1, 3, 3, 3, 19, 13, 31, 155, 209, 89, 955, 523, 615, 5319, 16079, 9289, 49135}},
-{7254, 17, 13082, {1, 3, 1, 13, 1, 31, 69, 143, 329, 813, 635, 891, 2967, 5563, 19643, 35813, 14345}},
-{7255, 17, 13093, {1, 1, 5, 5, 17, 47, 97, 49, 123, 997, 15, 3685, 3925, 4973, 11195, 17115, 63709}},
-{7256, 17, 13094, {1, 1, 7, 13, 13, 17, 99, 149, 309, 281, 329, 905, 6487, 4495, 31831, 24413, 26431}},
-{7257, 17, 13100, {1, 1, 5, 5, 5, 47, 113, 115, 61, 157, 955, 2323, 4445, 229, 24049, 14753, 15189}},
-{7258, 17, 13115, {1, 3, 7, 15, 25, 21, 13, 137, 377, 45, 629, 1339, 8037, 5073, 24741, 48589, 28953}},
-{7259, 17, 13125, {1, 3, 3, 9, 3, 41, 7, 101, 333, 59, 1213, 1871, 3993, 11261, 4403, 42785, 58753}},
-{7260, 17, 13132, {1, 3, 1, 7, 5, 33, 87, 73, 317, 575, 1459, 905, 1033, 14179, 19595, 30269, 103853}},
-{7261, 17, 13143, {1, 1, 1, 1, 19, 49, 63, 181, 227, 401, 695, 1811, 2383, 3835, 14379, 30685, 114731}},
-{7262, 17, 13144, {1, 1, 5, 15, 9, 41, 35, 91, 357, 659, 155, 3725, 6509, 405, 25449, 37719, 6013}},
-{7263, 17, 13153, {1, 1, 7, 3, 11, 59, 33, 151, 291, 393, 741, 3961, 2787, 993, 10361, 11737, 42047}},
-{7264, 17, 13160, {1, 3, 7, 3, 15, 15, 55, 59, 419, 203, 55, 801, 2719, 15487, 13213, 58473, 50315}},
-{7265, 17, 13165, {1, 3, 7, 13, 17, 21, 113, 111, 159, 163, 711, 1135, 1133, 15519, 30515, 55777, 25025}},
-{7266, 17, 13173, {1, 1, 3, 5, 13, 25, 23, 3, 93, 873, 559, 1815, 3381, 5311, 14365, 34349, 17333}},
-{7267, 17, 13174, {1, 3, 5, 7, 15, 43, 85, 33, 23, 903, 1247, 3279, 1393, 12059, 19251, 19389, 5097}},
-{7268, 17, 13187, {1, 3, 1, 11, 21, 59, 3, 153, 403, 95, 1939, 2679, 419, 9035, 31219, 2897, 15727}},
-{7269, 17, 13190, {1, 3, 5, 1, 11, 21, 35, 169, 453, 15, 791, 3931, 1021, 16321, 6033, 10639, 16173}},
-{7270, 17, 13204, {1, 3, 1, 11, 7, 57, 39, 61, 381, 465, 451, 2863, 575, 5597, 31041, 8625, 82373}},
-{7271, 17, 13218, {1, 1, 3, 5, 13, 5, 63, 1, 75, 245, 1305, 285, 3367, 10107, 5853, 35275, 128255}},
-{7272, 17, 13247, {1, 1, 1, 3, 1, 57, 21, 91, 139, 669, 765, 1867, 2153, 10347, 26119, 35517, 4725}},
-{7273, 17, 13250, {1, 3, 5, 1, 21, 41, 59, 247, 473, 1015, 975, 485, 2161, 11941, 10341, 35245, 55587}},
-{7274, 17, 13262, {1, 1, 5, 9, 7, 59, 33, 149, 97, 619, 393, 3613, 6037, 10895, 19461, 15975, 47919}},
-{7275, 17, 13267, {1, 3, 3, 15, 7, 17, 95, 13, 147, 361, 915, 2585, 4483, 3159, 12255, 44685, 116163}},
-{7276, 17, 13274, {1, 3, 1, 15, 27, 31, 75, 31, 423, 233, 1453, 2815, 3633, 6531, 25721, 29649, 80645}},
-{7277, 17, 13304, {1, 3, 3, 3, 19, 7, 73, 33, 163, 495, 1483, 2277, 6455, 6523, 9331, 21869, 52175}},
-{7278, 17, 13309, {1, 3, 5, 13, 5, 1, 63, 35, 335, 189, 713, 2997, 3277, 10049, 4681, 16753, 17107}},
-{7279, 17, 13315, {1, 3, 5, 9, 3, 55, 29, 171, 395, 585, 671, 1875, 4449, 12895, 5455, 11023, 106189}},
-{7280, 17, 13317, {1, 3, 5, 3, 25, 53, 33, 169, 109, 285, 787, 861, 5549, 5171, 15293, 2977, 14559}},
-{7281, 17, 13324, {1, 3, 7, 1, 21, 25, 97, 115, 1, 999, 1033, 3471, 129, 16093, 495, 16859, 34615}},
-{7282, 17, 13332, {1, 3, 5, 9, 13, 5, 109, 41, 57, 957, 231, 3771, 2917, 15649, 8869, 14857, 64943}},
-{7283, 17, 13342, {1, 1, 7, 7, 21, 41, 101, 59, 167, 441, 997, 2951, 7891, 16325, 12669, 53829, 100705}},
-{7284, 17, 13346, {1, 1, 7, 9, 19, 59, 23, 141, 193, 237, 1067, 1823, 3351, 3239, 3135, 9275, 37069}},
-{7285, 17, 13355, {1, 3, 3, 9, 3, 17, 95, 73, 19, 231, 779, 3065, 2245, 2967, 24971, 62589, 16729}},
-{7286, 17, 13358, {1, 3, 3, 13, 25, 19, 117, 147, 443, 123, 157, 2037, 327, 14715, 5693, 54641, 33325}},
-{7287, 17, 13360, {1, 3, 1, 9, 21, 21, 21, 125, 49, 787, 767, 2831, 511, 2461, 31537, 27155, 44053}},
-{7288, 17, 13369, {1, 3, 7, 9, 31, 19, 125, 67, 119, 465, 287, 1869, 3979, 15723, 21069, 8581, 66939}},
-{7289, 17, 13372, {1, 1, 1, 11, 7, 37, 123, 237, 353, 499, 113, 3829, 217, 4751, 7385, 20343, 83699}},
-{7290, 17, 13398, {1, 3, 7, 13, 9, 3, 53, 27, 487, 87, 35, 2645, 3481, 14409, 27875, 31695, 78489}},
-{7291, 17, 13404, {1, 3, 3, 13, 9, 43, 67, 51, 153, 83, 591, 1991, 1787, 11973, 7273, 34801, 47199}},
-{7292, 17, 13407, {1, 3, 7, 1, 15, 53, 71, 11, 205, 853, 2011, 581, 1281, 7819, 23083, 33731, 74951}},
-{7293, 17, 13414, {1, 1, 5, 5, 17, 63, 109, 219, 225, 997, 1251, 3287, 1441, 13489, 22723, 45191, 50249}},
-{7294, 17, 13426, {1, 1, 5, 3, 13, 1, 43, 53, 293, 685, 1369, 1515, 7479, 3233, 20007, 65235, 102467}},
-{7295, 17, 13432, {1, 3, 5, 7, 29, 45, 63, 45, 219, 445, 2047, 317, 7553, 325, 1465, 949, 35163}},
-{7296, 17, 13466, {1, 1, 3, 9, 7, 31, 73, 211, 501, 233, 1495, 701, 5857, 10763, 9743, 10289, 23801}},
-{7297, 17, 13481, {1, 3, 7, 3, 23, 47, 99, 61, 179, 833, 1425, 1275, 4467, 4367, 5567, 23513, 68677}},
-{7298, 17, 13490, {1, 1, 5, 5, 27, 33, 119, 229, 329, 51, 1025, 3167, 3405, 4039, 4135, 6655, 43771}},
-{7299, 17, 13496, {1, 3, 7, 15, 5, 49, 91, 55, 425, 15, 2003, 1571, 3539, 10375, 29645, 5889, 51887}},
-{7300, 17, 13504, {1, 1, 7, 3, 13, 55, 85, 91, 181, 723, 1941, 75, 4443, 11507, 7027, 14189, 50685}},
-{7301, 17, 13516, {1, 3, 5, 5, 29, 49, 13, 3, 97, 165, 41, 3039, 3325, 2161, 775, 38501, 42381}},
-{7302, 17, 13527, {1, 1, 5, 11, 9, 57, 47, 109, 9, 585, 375, 1839, 937, 6877, 29847, 60163, 103081}},
-{7303, 17, 13533, {1, 1, 3, 13, 5, 47, 11, 195, 253, 235, 275, 2313, 163, 14683, 5681, 13381, 84553}},
-{7304, 17, 13537, {1, 3, 3, 15, 15, 1, 93, 157, 437, 557, 307, 1179, 6857, 3101, 16723, 50579, 69603}},
-{7305, 17, 13552, {1, 1, 5, 9, 11, 29, 23, 219, 337, 689, 1155, 2007, 6853, 6749, 20127, 13199, 48433}},
-{7306, 17, 13561, {1, 1, 1, 13, 1, 61, 73, 213, 335, 539, 903, 2719, 775, 2775, 29109, 33367, 3281}},
-{7307, 17, 13567, {1, 3, 1, 5, 15, 31, 65, 231, 439, 623, 1871, 2299, 5365, 10333, 9147, 2781, 63813}},
-{7308, 17, 13582, {1, 1, 3, 1, 1, 25, 23, 229, 173, 279, 181, 1299, 2893, 15475, 12473, 46097, 123387}},
-{7309, 17, 13587, {1, 1, 7, 13, 7, 43, 17, 187, 467, 113, 1293, 2013, 6091, 14621, 22195, 24079, 45379}},
-{7310, 17, 13589, {1, 3, 1, 7, 1, 7, 119, 159, 377, 11, 705, 2853, 3767, 13739, 23375, 25563, 73987}},
-{7311, 17, 13593, {1, 1, 3, 15, 21, 13, 111, 119, 401, 1005, 777, 1699, 2431, 15139, 27887, 28415, 71519}},
-{7312, 17, 13596, {1, 1, 7, 9, 1, 49, 19, 171, 297, 77, 1343, 1249, 5769, 13889, 21401, 24915, 17641}},
-{7313, 17, 13615, {1, 1, 7, 11, 31, 45, 51, 231, 123, 817, 13, 791, 6235, 2787, 475, 1717, 5071}},
-{7314, 17, 13617, {1, 3, 3, 13, 5, 9, 21, 129, 253, 731, 785, 2275, 7343, 7841, 5477, 8973, 101033}},
-{7315, 17, 13623, {1, 1, 7, 13, 23, 1, 119, 221, 293, 709, 2031, 3019, 1529, 2007, 10823, 43193, 82661}},
-{7316, 17, 13641, {1, 3, 1, 11, 29, 29, 87, 79, 415, 679, 1899, 3453, 7355, 8627, 28225, 41857, 106645}},
-{7317, 17, 13647, {1, 1, 5, 15, 9, 13, 21, 241, 491, 927, 999, 2131, 3501, 11063, 28595, 54691, 21297}},
-{7318, 17, 13650, {1, 1, 1, 3, 5, 41, 85, 89, 483, 309, 791, 825, 3043, 2715, 16573, 6551, 77875}},
-{7319, 17, 13659, {1, 3, 1, 1, 25, 21, 107, 123, 79, 1019, 821, 1251, 4943, 1429, 17843, 37013, 53285}},
-{7320, 17, 13671, {1, 1, 5, 3, 7, 5, 35, 123, 445, 315, 627, 2543, 1261, 13737, 15991, 36591, 18309}},
-{7321, 17, 13677, {1, 3, 3, 5, 25, 43, 65, 249, 309, 1023, 737, 1933, 4735, 7725, 12063, 53023, 126677}},
-{7322, 17, 13678, {1, 3, 1, 9, 13, 37, 77, 61, 179, 275, 277, 1431, 2869, 14563, 665, 60553, 7661}},
-{7323, 17, 13680, {1, 3, 5, 3, 29, 1, 127, 73, 363, 311, 1591, 3863, 6481, 4725, 8287, 61311, 39011}},
-{7324, 17, 13685, {1, 3, 1, 7, 13, 23, 115, 215, 385, 563, 1033, 2343, 5023, 11013, 12131, 26997, 48645}},
-{7325, 17, 13689, {1, 1, 5, 13, 3, 59, 41, 155, 263, 507, 1175, 2967, 7929, 8237, 11841, 15365, 51881}},
-{7326, 17, 13701, {1, 1, 3, 11, 19, 35, 89, 115, 121, 315, 1697, 2121, 1867, 6865, 23639, 26525, 44687}},
-{7327, 17, 13706, {1, 3, 5, 15, 9, 5, 125, 183, 149, 447, 309, 1743, 6089, 369, 16153, 63799, 57657}},
-{7328, 17, 13720, {1, 1, 1, 7, 7, 39, 89, 139, 457, 741, 1613, 2883, 5057, 12495, 18669, 55469, 97941}},
-{7329, 17, 13729, {1, 1, 5, 7, 29, 39, 97, 9, 481, 667, 1353, 3387, 2813, 16205, 8353, 22121, 92965}},
-{7330, 17, 13735, {1, 3, 7, 9, 11, 55, 79, 159, 349, 717, 829, 3157, 1457, 6199, 5861, 2553, 20387}},
-{7331, 17, 13736, {1, 1, 1, 11, 3, 51, 113, 53, 287, 109, 1717, 2405, 7207, 4473, 11145, 2549, 591}},
-{7332, 17, 13756, {1, 1, 3, 13, 3, 61, 31, 141, 217, 487, 299, 2755, 3389, 10053, 1105, 21129, 74203}},
-{7333, 17, 13759, {1, 1, 1, 3, 11, 55, 7, 113, 413, 449, 787, 3279, 5123, 16025, 15005, 12175, 6795}},
-{7334, 17, 13761, {1, 3, 1, 1, 25, 23, 107, 191, 3, 3, 49, 1083, 3275, 10385, 7989, 53739, 25505}},
-{7335, 17, 13771, {1, 1, 5, 13, 7, 17, 59, 13, 471, 147, 1627, 2119, 3555, 15555, 10333, 49363, 80959}},
-{7336, 17, 13782, {1, 1, 1, 15, 23, 33, 61, 191, 207, 939, 45, 2781, 71, 9661, 28433, 13089, 76419}},
-{7337, 17, 13786, {1, 3, 3, 7, 29, 47, 111, 19, 315, 381, 851, 1303, 2627, 6255, 30369, 37723, 12949}},
-{7338, 17, 13798, {1, 1, 1, 13, 31, 43, 3, 193, 5, 99, 769, 2523, 1949, 129, 9693, 60535, 67059}},
-{7339, 17, 13810, {1, 1, 3, 15, 5, 33, 73, 149, 253, 985, 863, 1551, 4369, 5911, 8269, 35463, 117055}},
-{7340, 17, 13819, {1, 3, 1, 5, 27, 57, 3, 105, 253, 731, 119, 3287, 613, 4627, 22003, 56027, 123005}},
-{7341, 17, 13826, {1, 1, 3, 3, 27, 47, 67, 147, 495, 865, 1233, 3707, 2511, 2951, 7367, 15625, 86417}},
-{7342, 17, 13831, {1, 1, 7, 1, 7, 7, 13, 255, 457, 529, 953, 1481, 5565, 12495, 4723, 41615, 121829}},
-{7343, 17, 13837, {1, 3, 5, 11, 1, 51, 91, 153, 323, 609, 1353, 2995, 4035, 13835, 28619, 46217, 4967}},
-{7344, 17, 13846, {1, 1, 5, 7, 25, 59, 81, 101, 185, 709, 1249, 2285, 6579, 8655, 17563, 9707, 63845}},
-{7345, 17, 13856, {1, 3, 3, 9, 31, 25, 17, 19, 111, 627, 1187, 2621, 6529, 9457, 25027, 18069, 47559}},
-{7346, 17, 13862, {1, 3, 7, 15, 7, 15, 103, 201, 391, 1023, 817, 535, 2713, 1317, 13469, 56043, 70847}},
-{7347, 17, 13866, {1, 1, 3, 7, 17, 57, 35, 99, 439, 367, 27, 2695, 3519, 8337, 14047, 58489, 69}},
-{7348, 17, 13885, {1, 1, 1, 3, 17, 23, 71, 189, 57, 39, 715, 1779, 3081, 14657, 21895, 59203, 31005}},
-{7349, 17, 13891, {1, 1, 7, 13, 1, 47, 69, 159, 353, 517, 271, 973, 5077, 15707, 11095, 19671, 3389}},
-{7350, 17, 13893, {1, 1, 7, 13, 25, 55, 115, 21, 43, 939, 1697, 101, 4751, 1993, 2389, 28353, 45251}},
-{7351, 17, 13905, {1, 3, 1, 15, 11, 57, 17, 49, 121, 419, 909, 121, 5047, 4235, 13051, 21529, 42097}},
-{7352, 17, 13908, {1, 1, 1, 3, 19, 37, 31, 233, 251, 175, 929, 1527, 7527, 3605, 17075, 61053, 56235}},
-{7353, 17, 13912, {1, 1, 1, 3, 9, 5, 117, 131, 251, 475, 1695, 1381, 2445, 5921, 14921, 937, 80791}},
-{7354, 17, 13917, {1, 1, 3, 9, 11, 5, 31, 215, 37, 567, 1537, 2183, 3291, 1601, 14025, 48807, 7243}},
-{7355, 17, 13918, {1, 3, 1, 9, 7, 13, 81, 249, 321, 473, 1419, 3977, 7037, 14191, 10865, 56131, 43225}},
-{7356, 17, 13946, {1, 1, 1, 13, 15, 23, 31, 69, 449, 491, 1461, 729, 7955, 4003, 16817, 37273, 72025}},
-{7357, 17, 13948, {1, 1, 5, 13, 7, 41, 93, 169, 347, 1013, 301, 2813, 1455, 13187, 10769, 60807, 46333}},
-{7358, 17, 13964, {1, 1, 5, 3, 23, 15, 1, 161, 29, 35, 415, 235, 93, 14543, 29585, 29657, 36489}},
-{7359, 17, 13970, {1, 3, 1, 3, 31, 63, 39, 235, 153, 549, 43, 147, 2317, 3537, 25561, 58287, 58725}},
-{7360, 17, 13975, {1, 1, 3, 5, 5, 11, 59, 97, 349, 307, 501, 1701, 4243, 13717, 17419, 23387, 29533}},
-{7361, 17, 13979, {1, 3, 1, 7, 7, 19, 33, 243, 67, 353, 2023, 3111, 7173, 10979, 28117, 40175, 45337}},
-{7362, 17, 13997, {1, 1, 1, 5, 15, 59, 55, 135, 107, 543, 1743, 2695, 3293, 111, 32629, 8249, 52273}},
-{7363, 17, 14000, {1, 3, 5, 13, 15, 57, 39, 79, 5, 451, 571, 1445, 1393, 2125, 31713, 59655, 20897}},
-{7364, 17, 14006, {1, 1, 3, 11, 29, 61, 1, 37, 173, 513, 1779, 2649, 3289, 4679, 2039, 47587, 28973}},
-{7365, 17, 14020, {1, 1, 5, 5, 15, 19, 17, 143, 387, 359, 275, 625, 7383, 15537, 10311, 40005, 20729}},
-{7366, 17, 14023, {1, 1, 3, 9, 7, 23, 71, 179, 85, 447, 345, 3459, 2857, 8331, 5489, 62207, 64933}},
-{7367, 17, 14024, {1, 1, 1, 1, 11, 61, 47, 131, 213, 611, 701, 713, 1269, 9563, 25223, 50697, 88679}},
-{7368, 17, 14029, {1, 1, 5, 15, 21, 5, 77, 59, 455, 243, 459, 2809, 13, 9325, 32047, 3939, 48389}},
-{7369, 17, 14035, {1, 3, 7, 1, 21, 53, 111, 225, 407, 119, 713, 3635, 1539, 15321, 29827, 36069, 74483}},
-{7370, 17, 14044, {1, 1, 5, 13, 7, 45, 75, 43, 191, 715, 169, 759, 33, 11329, 1069, 36103, 28055}},
-{7371, 17, 14047, {1, 3, 7, 5, 7, 13, 7, 35, 27, 391, 517, 1439, 5699, 1067, 23857, 7293, 66167}},
-{7372, 17, 14058, {1, 1, 7, 11, 3, 31, 1, 83, 299, 345, 65, 669, 1529, 7569, 28959, 50561, 69493}},
-{7373, 17, 14066, {1, 3, 1, 5, 25, 25, 43, 149, 83, 225, 1589, 1691, 7777, 773, 10421, 49523, 23533}},
-{7374, 17, 14075, {1, 1, 5, 11, 25, 29, 81, 11, 497, 43, 951, 2551, 821, 13805, 12315, 61299, 81397}},
-{7375, 17, 14080, {1, 3, 1, 9, 29, 23, 109, 123, 235, 255, 1519, 3289, 7761, 14575, 11851, 1719, 51655}},
-{7376, 17, 14095, {1, 3, 5, 15, 21, 49, 13, 43, 87, 517, 687, 1457, 1501, 15959, 31907, 13771, 69379}},
-{7377, 17, 14100, {1, 1, 5, 3, 21, 11, 87, 9, 343, 317, 845, 1663, 7933, 14063, 24915, 31487, 17445}},
-{7378, 17, 14114, {1, 1, 3, 13, 21, 31, 87, 99, 185, 333, 993, 3899, 971, 2851, 23643, 195, 66957}},
-{7379, 17, 14116, {1, 1, 1, 15, 19, 47, 23, 1, 67, 57, 165, 3903, 421, 10561, 11621, 13815, 10349}},
-{7380, 17, 14123, {1, 3, 5, 11, 9, 19, 73, 17, 229, 913, 459, 3809, 2667, 9775, 3693, 52945, 90837}},
-{7381, 17, 14134, {1, 1, 5, 15, 3, 25, 109, 131, 507, 637, 1615, 859, 6785, 14891, 24801, 39095, 79557}},
-{7382, 17, 14143, {1, 1, 5, 7, 1, 51, 71, 251, 19, 799, 835, 1119, 2349, 15083, 16509, 55621, 123501}},
-{7383, 17, 14151, {1, 3, 5, 9, 13, 39, 127, 1, 233, 37, 735, 3307, 5163, 4529, 5961, 12893, 103641}},
-{7384, 17, 14160, {1, 1, 7, 5, 23, 15, 49, 123, 511, 201, 2025, 289, 3847, 15755, 24279, 52543, 42017}},
-{7385, 17, 14163, {1, 1, 5, 3, 9, 61, 19, 37, 3, 361, 1065, 2971, 2517, 1259, 27359, 3823, 60181}},
-{7386, 17, 14179, {1, 3, 1, 7, 15, 17, 57, 249, 57, 979, 147, 2407, 2579, 3159, 8467, 8433, 72873}},
-{7387, 17, 14181, {1, 1, 3, 1, 25, 7, 47, 117, 449, 321, 143, 3867, 165, 7961, 27597, 10033, 2437}},
-{7388, 17, 14193, {1, 3, 5, 13, 19, 49, 1, 83, 477, 549, 509, 2911, 1559, 14017, 10469, 62171, 82829}},
-{7389, 17, 14209, {1, 3, 3, 7, 27, 21, 15, 63, 31, 45, 1223, 3903, 5469, 11983, 29627, 27453, 32019}},
-{7390, 17, 14210, {1, 1, 7, 7, 9, 9, 7, 77, 349, 467, 61, 3465, 6921, 15761, 15179, 38649, 2469}},
-{7391, 17, 14224, {1, 3, 1, 13, 9, 59, 55, 67, 271, 617, 643, 4071, 7963, 8153, 5121, 43917, 26219}},
-{7392, 17, 14245, {1, 1, 3, 7, 29, 21, 63, 103, 327, 623, 931, 1511, 3125, 229, 28949, 61315, 72667}},
-{7393, 17, 14249, {1, 3, 7, 1, 19, 37, 49, 63, 403, 885, 161, 121, 1447, 9227, 15019, 50049, 26939}},
-{7394, 17, 14255, {1, 3, 3, 3, 23, 57, 95, 79, 485, 173, 93, 835, 7161, 11247, 3485, 5759, 36393}},
-{7395, 17, 14267, {1, 3, 7, 13, 23, 33, 5, 97, 235, 531, 313, 2925, 2223, 847, 18591, 15477, 3129}},
-{7396, 17, 14270, {1, 1, 3, 13, 25, 25, 101, 183, 477, 947, 1251, 2631, 7987, 13417, 23759, 55305, 123817}},
-{7397, 17, 14277, {1, 1, 5, 9, 27, 63, 49, 137, 179, 861, 33, 2375, 3827, 6485, 19689, 7867, 124429}},
-{7398, 17, 14305, {1, 3, 7, 3, 15, 43, 63, 103, 45, 947, 1837, 833, 7055, 7487, 19669, 12045, 78377}},
-{7399, 17, 14308, {1, 3, 5, 3, 29, 35, 57, 19, 471, 985, 1147, 741, 5403, 10057, 25375, 50889, 82719}},
-{7400, 17, 14312, {1, 3, 3, 1, 17, 19, 111, 13, 121, 821, 1831, 4043, 123, 9529, 1511, 10917, 105961}},
-{7401, 17, 14325, {1, 1, 3, 11, 1, 43, 23, 75, 345, 9, 1379, 2157, 5887, 1197, 14849, 17103, 91925}},
-{7402, 17, 14332, {1, 1, 3, 3, 19, 11, 1, 179, 343, 1023, 1801, 915, 255, 519, 5787, 32913, 43471}},
-{7403, 17, 14345, {1, 3, 5, 5, 3, 3, 3, 211, 461, 55, 851, 3165, 2903, 15077, 8537, 2037, 109057}},
-{7404, 17, 14354, {1, 1, 7, 15, 7, 7, 43, 249, 27, 511, 1369, 735, 6093, 12575, 26675, 21745, 117053}},
-{7405, 17, 14372, {1, 1, 5, 7, 21, 53, 45, 83, 415, 645, 325, 4027, 5181, 8485, 1917, 55623, 45203}},
-{7406, 17, 14387, {1, 1, 3, 15, 7, 1, 121, 221, 387, 403, 1877, 1671, 2113, 2379, 5667, 39867, 8079}},
-{7407, 17, 14390, {1, 1, 1, 7, 5, 29, 35, 77, 197, 661, 1859, 2539, 4045, 13497, 305, 44987, 31215}},
-{7408, 17, 14402, {1, 1, 5, 5, 13, 37, 13, 85, 287, 347, 579, 2283, 7911, 5463, 21141, 9035, 105067}},
-{7409, 17, 14408, {1, 1, 1, 9, 17, 17, 63, 97, 57, 629, 1917, 1133, 779, 12365, 17127, 52549, 18755}},
-{7410, 17, 14413, {1, 1, 7, 11, 7, 17, 65, 137, 485, 841, 653, 2921, 4935, 16273, 23333, 7399, 43129}},
-{7411, 17, 14431, {1, 3, 1, 11, 31, 55, 93, 225, 319, 35, 947, 1909, 7733, 8303, 20739, 55713, 6633}},
-{7412, 17, 14438, {1, 1, 1, 3, 11, 25, 1, 165, 305, 275, 607, 3845, 5203, 1989, 13803, 597, 39751}},
-{7413, 17, 14447, {1, 1, 5, 11, 31, 43, 83, 237, 453, 59, 457, 741, 411, 15895, 18891, 30133, 66767}},
-{7414, 17, 14455, {1, 3, 5, 11, 3, 23, 65, 81, 299, 527, 1057, 2731, 3839, 6023, 28887, 64929, 41405}},
-{7415, 17, 14461, {1, 3, 1, 1, 3, 5, 11, 169, 123, 957, 1495, 1717, 4079, 13239, 28339, 33677, 30591}},
-{7416, 17, 14466, {1, 1, 7, 15, 3, 1, 37, 245, 169, 273, 2039, 415, 6555, 13131, 11181, 62179, 36885}},
-{7417, 17, 14480, {1, 1, 3, 11, 1, 55, 19, 19, 425, 113, 1367, 2101, 5581, 985, 2475, 53983, 68999}},
-{7418, 17, 14490, {1, 1, 5, 9, 5, 33, 101, 193, 303, 579, 1265, 2791, 479, 12083, 17609, 31801, 113089}},
-{7419, 17, 14492, {1, 1, 3, 3, 17, 61, 59, 249, 81, 821, 1, 431, 5327, 8675, 23469, 15349, 67711}},
-{7420, 17, 14508, {1, 1, 7, 9, 31, 51, 89, 19, 469, 843, 561, 559, 4823, 7803, 31699, 44537, 56835}},
-{7421, 17, 14513, {1, 3, 7, 9, 11, 57, 27, 43, 469, 655, 433, 3081, 6719, 6651, 30823, 61503, 110711}},
-{7422, 17, 14516, {1, 3, 5, 11, 9, 53, 25, 147, 61, 533, 1369, 879, 7935, 13829, 26655, 17327, 52983}},
-{7423, 17, 14519, {1, 3, 7, 11, 15, 27, 97, 175, 435, 53, 75, 807, 549, 5277, 1831, 19421, 55669}},
-{7424, 17, 14525, {1, 1, 7, 15, 23, 5, 99, 133, 485, 587, 65, 2585, 7667, 2783, 19437, 52769, 1587}},
-{7425, 17, 14534, {1, 1, 7, 7, 13, 39, 111, 165, 489, 355, 1963, 333, 2993, 5233, 9173, 18951, 93737}},
-{7426, 17, 14537, {1, 1, 5, 7, 1, 29, 67, 135, 427, 91, 53, 3109, 3745, 9529, 17567, 42361, 84577}},
-{7427, 17, 14543, {1, 3, 5, 1, 31, 35, 59, 181, 87, 345, 1975, 781, 603, 16365, 19453, 9933, 112739}},
-{7428, 17, 14545, {1, 3, 3, 1, 31, 41, 127, 35, 263, 403, 1811, 383, 1523, 8477, 5973, 41569, 99309}},
-{7429, 17, 14552, {1, 3, 7, 7, 5, 25, 11, 201, 231, 679, 519, 2481, 7415, 12397, 21265, 49419, 13903}},
-{7430, 17, 14562, {1, 1, 7, 5, 1, 11, 63, 221, 327, 509, 419, 871, 7891, 11835, 11099, 10669, 43853}},
-{7431, 17, 14571, {1, 1, 5, 11, 19, 11, 37, 105, 265, 513, 1013, 707, 6083, 14571, 17573, 7645, 5363}},
-{7432, 17, 14574, {1, 1, 1, 13, 19, 19, 67, 93, 113, 509, 1013, 4037, 1939, 7015, 24487, 57183, 123463}},
-{7433, 17, 14582, {1, 1, 1, 1, 21, 17, 95, 25, 261, 1005, 685, 691, 4467, 14723, 24043, 32287, 19651}},
-{7434, 17, 14611, {1, 3, 1, 15, 15, 15, 57, 191, 27, 719, 229, 1977, 241, 9021, 21335, 30967, 81207}},
-{7435, 17, 14614, {1, 3, 1, 9, 23, 61, 103, 67, 361, 925, 811, 1007, 5707, 11479, 5907, 3897, 65141}},
-{7436, 17, 14620, {1, 3, 5, 9, 17, 61, 11, 15, 351, 715, 939, 2141, 4857, 8397, 9693, 26845, 120007}},
-{7437, 17, 14633, {1, 3, 1, 5, 19, 55, 99, 19, 291, 309, 287, 1969, 4341, 7579, 30909, 37277, 54927}},
-{7438, 17, 14641, {1, 3, 7, 3, 19, 29, 43, 163, 367, 753, 1733, 1463, 7927, 10671, 16817, 41229, 113887}},
-{7439, 17, 14648, {1, 3, 7, 1, 11, 51, 39, 207, 283, 73, 1423, 2473, 7593, 3581, 30179, 6369, 112217}},
-{7440, 17, 14671, {1, 1, 3, 15, 15, 25, 43, 5, 271, 611, 959, 537, 303, 3659, 18073, 8147, 81531}},
-{7441, 17, 14674, {1, 3, 7, 1, 27, 55, 77, 11, 367, 209, 1967, 3409, 935, 5309, 18857, 46225, 8367}},
-{7442, 17, 14689, {1, 1, 5, 11, 11, 63, 75, 73, 43, 869, 2021, 3285, 269, 9113, 32699, 2091, 17327}},
-{7443, 17, 14690, {1, 1, 5, 11, 9, 25, 31, 245, 109, 805, 1645, 3607, 817, 9571, 12767, 65441, 129977}},
-{7444, 17, 14692, {1, 3, 7, 5, 11, 61, 67, 223, 433, 387, 935, 1615, 7915, 6133, 24087, 55323, 100619}},
-{7445, 17, 14699, {1, 1, 1, 15, 25, 61, 7, 39, 311, 353, 183, 33, 2591, 4951, 31377, 9081, 9707}},
-{7446, 17, 14710, {1, 1, 3, 3, 1, 9, 65, 229, 185, 47, 1255, 1365, 2231, 6843, 26927, 27195, 60651}},
-{7447, 17, 14719, {1, 1, 7, 5, 7, 25, 91, 133, 159, 737, 1767, 3117, 7321, 6159, 3361, 27793, 33473}},
-{7448, 17, 14730, {1, 3, 7, 3, 11, 7, 5, 125, 369, 951, 1277, 65, 7703, 1817, 11773, 25657, 67045}},
-{7449, 17, 14732, {1, 1, 3, 9, 21, 27, 21, 41, 131, 605, 1, 119, 1553, 1361, 31973, 43135, 119321}},
-{7450, 17, 14743, {1, 3, 7, 1, 25, 63, 55, 173, 323, 403, 1401, 1367, 3455, 15335, 13045, 20759, 8309}},
-{7451, 17, 14744, {1, 1, 3, 5, 3, 61, 59, 7, 39, 439, 721, 2829, 3035, 2293, 32015, 28509, 104831}},
-{7452, 17, 14750, {1, 3, 5, 1, 29, 35, 71, 87, 351, 917, 1661, 547, 4501, 7107, 5493, 17833, 130729}},
-{7453, 17, 14759, {1, 1, 5, 5, 7, 5, 69, 57, 319, 595, 1749, 3789, 1437, 6327, 24089, 7387, 125109}},
-{7454, 17, 14763, {1, 3, 5, 9, 15, 53, 95, 59, 217, 37, 1561, 401, 5259, 4361, 1049, 3437, 30559}},
-{7455, 17, 14768, {1, 3, 7, 13, 15, 15, 107, 167, 475, 157, 1565, 2219, 1891, 1433, 11829, 43433, 48111}},
-{7456, 17, 14773, {1, 1, 1, 3, 11, 41, 25, 211, 243, 355, 1831, 2093, 2747, 2523, 9885, 9503, 120089}},
-{7457, 17, 14777, {1, 3, 7, 5, 11, 3, 1, 231, 243, 541, 341, 887, 3567, 14759, 26763, 35705, 29417}},
-{7458, 17, 14786, {1, 1, 7, 13, 17, 35, 117, 177, 81, 361, 1425, 2437, 6821, 1061, 15019, 19135, 106007}},
-{7459, 17, 14795, {1, 3, 3, 11, 19, 5, 39, 23, 367, 9, 879, 3583, 2527, 14375, 28359, 27393, 55041}},
-{7460, 17, 14800, {1, 1, 7, 11, 9, 41, 63, 125, 33, 337, 587, 3939, 2635, 4559, 1007, 38991, 35651}},
-{7461, 17, 14812, {1, 1, 3, 1, 19, 11, 83, 13, 227, 649, 415, 1661, 3285, 55, 3683, 22319, 2127}},
-{7462, 17, 14816, {1, 3, 7, 13, 19, 49, 113, 129, 83, 5, 19, 1095, 6561, 11049, 3805, 11355, 84265}},
-{7463, 17, 14836, {1, 3, 1, 9, 19, 41, 111, 193, 429, 319, 67, 1717, 1819, 12959, 31449, 21035, 113161}},
-{7464, 17, 14840, {1, 1, 5, 11, 19, 19, 115, 237, 145, 681, 1525, 2215, 7915, 15529, 7533, 45981, 85461}},
-{7465, 17, 14856, {1, 1, 1, 1, 25, 3, 73, 207, 15, 69, 43, 1643, 7707, 12505, 27101, 40735, 6091}},
-{7466, 17, 14859, {1, 1, 5, 11, 21, 61, 119, 7, 37, 147, 1379, 3165, 6555, 3867, 24027, 45161, 93015}},
-{7467, 17, 14870, {1, 1, 3, 9, 9, 25, 51, 125, 511, 209, 75, 2849, 2299, 2901, 25157, 13079, 67733}},
-{7468, 17, 14873, {1, 3, 7, 9, 31, 49, 99, 21, 89, 1, 1391, 1741, 2733, 7283, 12087, 9287, 39713}},
-{7469, 17, 14879, {1, 1, 5, 5, 1, 5, 89, 109, 499, 343, 431, 401, 2023, 5541, 16615, 40059, 119195}},
-{7470, 17, 14880, {1, 3, 5, 15, 27, 27, 9, 159, 395, 31, 865, 2793, 55, 10961, 23123, 63731, 54385}},
-{7471, 17, 14889, {1, 3, 7, 1, 11, 47, 123, 239, 399, 383, 1497, 4075, 4659, 2911, 2101, 8295, 115717}},
-{7472, 17, 14892, {1, 1, 3, 1, 11, 63, 125, 171, 65, 15, 349, 753, 2981, 6713, 6219, 14093, 78797}},
-{7473, 17, 14895, {1, 1, 1, 13, 9, 15, 1, 113, 221, 867, 1907, 103, 1411, 27, 22743, 377, 116907}},
-{7474, 17, 14900, {1, 3, 1, 5, 27, 5, 27, 245, 221, 575, 2009, 1561, 4263, 11843, 28331, 12865, 10483}},
-{7475, 17, 14903, {1, 3, 7, 9, 1, 51, 119, 241, 439, 913, 1191, 2343, 2055, 10247, 18283, 40175, 63321}},
-{7476, 17, 14910, {1, 1, 3, 15, 21, 59, 45, 151, 485, 293, 981, 3523, 7689, 2789, 5003, 62383, 126221}},
-{7477, 17, 14912, {1, 1, 1, 1, 13, 15, 39, 201, 405, 513, 1721, 2077, 5995, 2433, 20421, 12695, 20393}},
-{7478, 17, 14942, {1, 3, 5, 15, 11, 35, 113, 133, 187, 583, 577, 291, 7563, 12959, 9383, 44255, 81763}},
-{7479, 17, 14948, {1, 3, 7, 15, 9, 55, 57, 227, 189, 595, 1311, 1131, 1323, 11347, 12777, 50963, 13827}},
-{7480, 17, 14957, {1, 3, 5, 3, 11, 49, 77, 157, 107, 959, 761, 1457, 7121, 3027, 9269, 26291, 125261}},
-{7481, 17, 14963, {1, 1, 5, 9, 23, 53, 125, 211, 303, 433, 1103, 41, 2643, 5325, 11885, 23825, 80415}},
-{7482, 17, 14975, {1, 1, 7, 1, 29, 25, 51, 107, 209, 165, 707, 1855, 7429, 1583, 5941, 47509, 90105}},
-{7483, 17, 14985, {1, 1, 3, 3, 1, 15, 121, 165, 181, 259, 1949, 3049, 3545, 3093, 5967, 49207, 37129}},
-{7484, 17, 14993, {1, 1, 5, 13, 9, 59, 93, 87, 57, 343, 389, 1995, 4001, 11495, 12909, 13491, 61759}},
-{7485, 17, 15003, {1, 3, 1, 5, 11, 27, 27, 133, 459, 733, 1845, 1795, 4613, 3397, 12313, 52839, 129583}},
-{7486, 17, 15010, {1, 3, 5, 3, 19, 1, 7, 145, 255, 337, 1649, 1473, 4113, 4425, 12233, 55477, 69157}},
-{7487, 17, 15022, {1, 1, 3, 1, 25, 27, 93, 59, 415, 437, 25, 1565, 319, 8981, 2453, 53579, 45033}},
-{7488, 17, 15039, {1, 3, 7, 1, 27, 49, 47, 233, 341, 101, 2017, 2827, 8085, 237, 6363, 61139, 88903}},
-{7489, 17, 15041, {1, 1, 1, 5, 23, 47, 65, 251, 423, 957, 1751, 3541, 5405, 1335, 22703, 12587, 60201}},
-{7490, 17, 15047, {1, 1, 3, 3, 5, 51, 85, 195, 423, 519, 1797, 3821, 5915, 12257, 5377, 62733, 41197}},
-{7491, 17, 15048, {1, 3, 7, 15, 3, 47, 97, 1, 5, 175, 1449, 1609, 6873, 12017, 5579, 2665, 58389}},
-{7492, 17, 15056, {1, 3, 3, 15, 19, 37, 35, 29, 79, 767, 21, 1279, 1997, 11611, 14381, 35607, 127701}},
-{7493, 17, 15066, {1, 3, 7, 7, 7, 43, 47, 33, 69, 155, 703, 1373, 1589, 6997, 8627, 50647, 16989}},
-{7494, 17, 15068, {1, 3, 1, 5, 13, 33, 69, 133, 399, 361, 1633, 321, 2077, 8857, 13419, 23227, 40003}},
-{7495, 17, 15075, {1, 1, 1, 15, 15, 9, 45, 181, 427, 1005, 341, 1697, 6423, 5727, 7163, 10401, 38957}},
-{7496, 17, 15077, {1, 1, 7, 1, 17, 5, 17, 95, 279, 171, 825, 2459, 5243, 10683, 1849, 32809, 8995}},
-{7497, 17, 15082, {1, 3, 5, 15, 27, 47, 103, 69, 69, 255, 961, 2173, 5297, 5987, 5863, 14311, 117569}},
-{7498, 17, 15096, {1, 1, 1, 11, 21, 27, 61, 239, 183, 1013, 1955, 3171, 4183, 965, 14885, 49605, 87851}},
-{7499, 17, 15102, {1, 1, 7, 9, 9, 53, 99, 211, 267, 803, 1545, 4011, 7613, 13889, 28277, 6817, 26515}},
-{7500, 17, 15116, {1, 1, 3, 9, 1, 19, 33, 227, 461, 679, 499, 1069, 837, 12129, 20779, 12937, 104367}},
-{7501, 17, 15122, {1, 3, 3, 15, 7, 3, 29, 245, 179, 1015, 1651, 3753, 4185, 15357, 17379, 52835, 51953}},
-{7502, 17, 15127, {1, 3, 3, 3, 3, 25, 95, 239, 263, 427, 1749, 183, 5251, 361, 32549, 24331, 30789}},
-{7503, 17, 15133, {1, 1, 7, 1, 5, 3, 79, 9, 403, 195, 1433, 385, 8105, 7893, 16415, 23253, 127837}},
-{7504, 17, 15137, {1, 3, 7, 3, 23, 45, 115, 27, 473, 241, 361, 1787, 4247, 13451, 5627, 32923, 29375}},
-{7505, 17, 15138, {1, 3, 7, 1, 5, 55, 43, 37, 481, 899, 51, 2459, 5005, 12365, 19261, 32797, 45843}},
-{7506, 17, 15149, {1, 3, 7, 5, 9, 41, 83, 163, 241, 899, 567, 231, 4897, 15175, 10329, 6625, 95927}},
-{7507, 17, 15152, {1, 3, 1, 1, 7, 51, 61, 55, 253, 315, 1893, 2635, 4061, 257, 14147, 36639, 24893}},
-{7508, 17, 15155, {1, 1, 5, 1, 13, 63, 115, 119, 205, 309, 277, 2191, 341, 4715, 13111, 58043, 51241}},
-{7509, 17, 15158, {1, 3, 1, 15, 17, 23, 89, 121, 205, 15, 295, 667, 421, 14071, 27719, 1335, 9887}},
-{7510, 17, 15187, {1, 3, 5, 5, 17, 49, 5, 93, 251, 613, 1029, 945, 1547, 10479, 20183, 26787, 120441}},
-{7511, 17, 15189, {1, 3, 3, 15, 17, 11, 63, 97, 499, 313, 881, 2233, 4287, 5141, 13841, 40725, 49285}},
-{7512, 17, 15190, {1, 3, 3, 11, 19, 33, 105, 203, 325, 337, 353, 1923, 7157, 8623, 23881, 4513, 71495}},
-{7513, 17, 15196, {1, 1, 5, 1, 3, 15, 119, 43, 85, 869, 1597, 2433, 845, 5065, 12813, 64849, 58491}},
-{7514, 17, 15199, {1, 3, 7, 7, 25, 63, 119, 93, 303, 665, 571, 1795, 5853, 13527, 12715, 36483, 57723}},
-{7515, 17, 15205, {1, 3, 7, 13, 19, 43, 55, 85, 189, 627, 1457, 3185, 3491, 1913, 13399, 30681, 69015}},
-{7516, 17, 15212, {1, 3, 5, 9, 5, 41, 51, 65, 147, 425, 569, 1317, 1557, 7631, 17243, 37847, 51161}},
-{7517, 17, 15236, {1, 1, 3, 7, 29, 39, 61, 127, 489, 89, 749, 2073, 195, 14367, 13533, 27403, 16365}},
-{7518, 17, 15243, {1, 3, 7, 15, 13, 35, 45, 157, 373, 415, 725, 779, 3559, 7489, 11369, 36501, 60761}},
-{7519, 17, 15246, {1, 3, 1, 3, 13, 45, 25, 215, 385, 709, 499, 3861, 761, 15597, 3335, 37013, 13173}},
-{7520, 17, 15260, {1, 1, 7, 1, 13, 49, 89, 135, 175, 1015, 67, 957, 4893, 9843, 13027, 14709, 59721}},
-{7521, 17, 15267, {1, 3, 3, 11, 19, 37, 109, 143, 135, 535, 1543, 3991, 189, 6739, 28087, 18845, 41819}},
-{7522, 17, 15274, {1, 1, 7, 5, 1, 7, 11, 5, 211, 251, 1593, 2527, 3539, 10471, 25595, 60119, 89213}},
-{7523, 17, 15279, {1, 1, 5, 7, 13, 51, 121, 167, 299, 403, 977, 521, 279, 15521, 15901, 935, 14065}},
-{7524, 17, 15281, {1, 1, 7, 13, 7, 21, 27, 205, 377, 801, 1365, 1567, 6651, 139, 14229, 30827, 50429}},
-{7525, 17, 15282, {1, 1, 1, 1, 17, 11, 75, 87, 217, 413, 1923, 1765, 2037, 14061, 12433, 30671, 24883}},
-{7526, 17, 15284, {1, 1, 5, 13, 17, 51, 91, 241, 95, 505, 349, 2689, 1117, 4435, 1713, 44501, 125619}},
-{7527, 17, 15291, {1, 1, 3, 15, 11, 21, 25, 59, 511, 353, 799, 91, 4517, 16005, 17061, 21841, 46311}},
-{7528, 17, 15293, {1, 1, 1, 5, 19, 53, 109, 177, 213, 373, 761, 453, 5753, 69, 3503, 49411, 111105}},
-{7529, 17, 15302, {1, 3, 1, 5, 21, 27, 103, 167, 109, 55, 1849, 3999, 7801, 4185, 9789, 7515, 124983}},
-{7530, 17, 15319, {1, 3, 7, 7, 25, 9, 65, 127, 141, 169, 1079, 3377, 691, 5119, 6629, 3517, 28963}},
-{7531, 17, 15329, {1, 1, 3, 11, 15, 61, 127, 35, 87, 891, 1459, 483, 6763, 16173, 5633, 6939, 63411}},
-{7532, 17, 15336, {1, 3, 5, 3, 7, 63, 111, 85, 415, 273, 1705, 4045, 5551, 2377, 29025, 16831, 90203}},
-{7533, 17, 15347, {1, 3, 5, 13, 7, 23, 103, 227, 477, 985, 1059, 1489, 7233, 1917, 10409, 38759, 86761}},
-{7534, 17, 15353, {1, 3, 5, 7, 31, 33, 75, 41, 355, 577, 225, 5, 897, 15653, 27415, 83, 14911}},
-{7535, 17, 15361, {1, 3, 5, 5, 23, 13, 5, 43, 165, 53, 149, 2005, 4545, 477, 17885, 21343, 35751}},
-{7536, 17, 15371, {1, 3, 3, 3, 25, 51, 33, 203, 291, 835, 241, 3255, 3709, 3573, 9859, 33027, 122801}},
-{7537, 17, 15397, {1, 3, 5, 7, 13, 7, 3, 141, 455, 67, 2003, 3411, 4717, 157, 29491, 14429, 44849}},
-{7538, 17, 15404, {1, 1, 1, 11, 3, 33, 101, 93, 219, 371, 1191, 1521, 1663, 8485, 24815, 38283, 120867}},
-{7539, 17, 15407, {1, 1, 3, 9, 25, 61, 71, 173, 69, 181, 1525, 2129, 2979, 19, 13489, 627, 72619}},
-{7540, 17, 15421, {1, 3, 1, 7, 25, 33, 39, 247, 221, 7, 683, 1837, 8037, 9125, 4259, 63049, 63021}},
-{7541, 17, 15433, {1, 3, 3, 9, 17, 15, 9, 189, 357, 707, 521, 711, 8189, 12945, 29675, 11851, 126813}},
-{7542, 17, 15441, {1, 3, 1, 1, 23, 3, 57, 133, 245, 301, 957, 239, 3139, 7949, 27133, 18229, 93015}},
-{7543, 17, 15442, {1, 1, 3, 1, 29, 23, 35, 87, 231, 257, 1997, 271, 3019, 3409, 10613, 42245, 111309}},
-{7544, 17, 15463, {1, 1, 3, 3, 1, 21, 17, 37, 393, 943, 791, 3101, 6715, 11907, 25369, 9061, 75381}},
-{7545, 17, 15472, {1, 1, 7, 7, 17, 31, 25, 7, 183, 819, 1265, 3343, 6845, 2039, 3779, 41861, 38309}},
-{7546, 17, 15478, {1, 1, 1, 5, 17, 25, 1, 41, 173, 995, 863, 3515, 1779, 2159, 28223, 64661, 40697}},
-{7547, 17, 15488, {1, 1, 3, 15, 29, 49, 81, 241, 511, 817, 1301, 3593, 6759, 7483, 8859, 30339, 106137}},
-{7548, 17, 15493, {1, 3, 1, 11, 17, 61, 95, 231, 3, 693, 37, 1091, 3111, 11941, 17475, 8073, 62373}},
-{7549, 17, 15498, {1, 1, 1, 3, 7, 25, 93, 7, 291, 957, 859, 2519, 241, 10963, 10403, 933, 50599}},
-{7550, 17, 15511, {1, 1, 7, 1, 7, 33, 121, 91, 369, 333, 229, 4073, 6063, 6491, 31711, 65061, 107843}},
-{7551, 17, 15521, {1, 1, 5, 15, 17, 1, 117, 195, 445, 547, 867, 2893, 4835, 6513, 29091, 60367, 33409}},
-{7552, 17, 15534, {1, 3, 3, 7, 15, 5, 125, 131, 165, 127, 207, 853, 5927, 3605, 17083, 44481, 111333}},
-{7553, 17, 15539, {1, 1, 1, 9, 3, 43, 75, 191, 319, 889, 1513, 3301, 1535, 4693, 10367, 12491, 43175}},
-{7554, 17, 15541, {1, 3, 5, 5, 29, 19, 75, 221, 393, 977, 1373, 1571, 7377, 1763, 18073, 11381, 101241}},
-{7555, 17, 15560, {1, 3, 1, 15, 3, 15, 73, 91, 165, 213, 1077, 1267, 2411, 15807, 3979, 12731, 86597}},
-{7556, 17, 15563, {1, 1, 3, 7, 3, 21, 5, 135, 95, 337, 1853, 1675, 2449, 12535, 18505, 60127, 76949}},
-{7557, 17, 15574, {1, 1, 7, 3, 15, 11, 63, 127, 329, 169, 1569, 675, 4801, 5859, 3243, 25811, 77841}},
-{7558, 17, 15578, {1, 1, 1, 9, 19, 13, 73, 119, 105, 537, 951, 1033, 5303, 5775, 815, 19277, 57607}},
-{7559, 17, 15584, {1, 3, 5, 5, 23, 21, 91, 231, 117, 1007, 1603, 841, 2595, 11223, 17171, 25963, 17049}},
-{7560, 17, 15593, {1, 1, 5, 11, 15, 43, 7, 229, 55, 129, 599, 993, 563, 15677, 16703, 36253, 17847}},
-{7561, 17, 15604, {1, 3, 1, 9, 25, 3, 109, 21, 87, 721, 1927, 3219, 3395, 3267, 9117, 13591, 89267}},
-{7562, 17, 15614, {1, 1, 1, 15, 11, 17, 47, 49, 125, 925, 333, 945, 2411, 10907, 12021, 47857, 84303}},
-{7563, 17, 15619, {1, 1, 1, 1, 23, 11, 99, 215, 105, 417, 823, 1289, 421, 12285, 17711, 35389, 1935}},
-{7564, 17, 15622, {1, 1, 1, 15, 27, 7, 23, 141, 7, 929, 147, 681, 5473, 4173, 28645, 42053, 83573}},
-{7565, 17, 15633, {1, 1, 1, 11, 5, 61, 71, 65, 287, 697, 1183, 3257, 7251, 14011, 21349, 42445, 4701}},
-{7566, 17, 15639, {1, 3, 5, 9, 5, 23, 45, 217, 369, 189, 1495, 107, 425, 10467, 4909, 64293, 17885}},
-{7567, 17, 15646, {1, 1, 3, 11, 21, 45, 75, 65, 57, 893, 783, 3429, 409, 13617, 483, 62489, 2919}},
-{7568, 17, 15673, {1, 1, 7, 3, 5, 61, 51, 255, 501, 839, 367, 1165, 7055, 8139, 23891, 18807, 20739}},
-{7569, 17, 15674, {1, 1, 3, 7, 23, 15, 97, 139, 323, 463, 921, 1529, 6655, 8697, 23577, 56761, 62023}},
-{7570, 17, 15684, {1, 1, 5, 11, 13, 11, 57, 225, 277, 713, 1427, 95, 1135, 7721, 30731, 32625, 107891}},
-{7571, 17, 15691, {1, 1, 5, 7, 23, 35, 39, 91, 291, 609, 919, 3325, 6843, 7659, 5603, 37471, 41495}},
-{7572, 17, 15694, {1, 1, 1, 1, 25, 11, 117, 15, 389, 589, 1345, 423, 6531, 9903, 20243, 9523, 22991}},
-{7573, 17, 15696, {1, 3, 5, 15, 29, 7, 57, 113, 387, 883, 1141, 3295, 2973, 4129, 16973, 33429, 109997}},
-{7574, 17, 15701, {1, 3, 5, 3, 25, 1, 73, 207, 353, 203, 1479, 985, 6373, 3079, 28403, 63675, 21787}},
-{7575, 17, 15705, {1, 3, 1, 5, 31, 39, 107, 197, 359, 45, 203, 559, 4721, 6579, 11305, 12957, 10061}},
-{7576, 17, 15715, {1, 3, 7, 15, 9, 3, 55, 153, 373, 981, 575, 827, 4757, 15743, 14295, 43875, 17847}},
-{7577, 17, 15729, {1, 3, 5, 1, 17, 1, 93, 87, 207, 997, 1695, 3643, 6973, 9507, 29309, 58531, 6849}},
-{7578, 17, 15730, {1, 3, 1, 11, 3, 39, 17, 241, 83, 931, 39, 3839, 6437, 5159, 28869, 61859, 96873}},
-{7579, 17, 15741, {1, 1, 5, 13, 29, 43, 71, 159, 261, 563, 695, 1205, 2273, 8077, 12569, 17187, 54369}},
-{7580, 17, 15745, {1, 3, 7, 5, 11, 57, 17, 31, 311, 1001, 1419, 3899, 6679, 15531, 28877, 28221, 105413}},
-{7581, 17, 15748, {1, 3, 3, 13, 23, 29, 127, 19, 345, 1003, 1571, 2219, 3199, 9903, 18701, 31865, 108879}},
-{7582, 17, 15757, {1, 3, 7, 13, 23, 51, 95, 43, 35, 439, 25, 323, 2365, 12407, 27525, 57795, 74495}},
-{7583, 17, 15765, {1, 1, 1, 1, 17, 43, 57, 185, 439, 929, 69, 813, 6205, 3139, 3853, 56967, 19073}},
-{7584, 17, 15766, {1, 3, 7, 1, 27, 5, 43, 211, 395, 113, 1675, 1505, 6171, 5169, 9991, 21641, 27101}},
-{7585, 17, 15775, {1, 3, 3, 1, 17, 41, 59, 131, 131, 339, 955, 1145, 5301, 4585, 20441, 43227, 23123}},
-{7586, 17, 15776, {1, 1, 7, 9, 9, 55, 61, 31, 71, 229, 963, 3247, 4677, 9595, 21715, 36391, 86997}},
-{7587, 17, 15779, {1, 1, 7, 5, 9, 17, 55, 179, 27, 229, 79, 1335, 5887, 1003, 22085, 34377, 51367}},
-{7588, 17, 15786, {1, 1, 1, 5, 11, 45, 15, 219, 411, 27, 1003, 1553, 303, 13571, 13985, 6801, 52407}},
-{7589, 17, 15788, {1, 3, 3, 7, 7, 55, 111, 255, 453, 409, 1863, 1449, 4103, 8725, 26923, 5017, 43657}},
-{7590, 17, 15813, {1, 1, 1, 15, 23, 3, 95, 57, 29, 727, 1111, 3309, 1089, 471, 16099, 11517, 51563}},
-{7591, 17, 15814, {1, 3, 1, 15, 17, 57, 83, 163, 251, 987, 1159, 2079, 3463, 13109, 7443, 8665, 123397}},
-{7592, 17, 15842, {1, 1, 7, 1, 27, 13, 35, 209, 471, 843, 1029, 1383, 5413, 2085, 13431, 26557, 47033}},
-{7593, 17, 15851, {1, 3, 1, 1, 21, 21, 83, 135, 303, 27, 1407, 1751, 331, 9207, 31891, 59287, 120687}},
-{7594, 17, 15862, {1, 1, 1, 9, 11, 35, 103, 157, 1, 855, 175, 3203, 4381, 3113, 27589, 4567, 31897}},
-{7595, 17, 15875, {1, 1, 3, 5, 21, 5, 123, 161, 301, 101, 909, 947, 6893, 15459, 29139, 49377, 94901}},
-{7596, 17, 15878, {1, 3, 7, 7, 21, 27, 5, 69, 427, 409, 1389, 3737, 847, 2775, 603, 1001, 87651}},
-{7597, 17, 15889, {1, 1, 3, 5, 1, 57, 109, 89, 99, 593, 581, 3527, 1557, 4971, 27523, 26909, 35787}},
-{7598, 17, 15896, {1, 1, 7, 3, 31, 19, 83, 65, 239, 919, 15, 2289, 4117, 9127, 6033, 49667, 89343}},
-{7599, 17, 15901, {1, 3, 7, 7, 9, 31, 87, 117, 195, 681, 1711, 1753, 2221, 10053, 1985, 6273, 21801}},
-{7600, 17, 15908, {1, 3, 1, 7, 21, 61, 53, 231, 309, 115, 1729, 3883, 6085, 4825, 31455, 50097, 59779}},
-{7601, 17, 15911, {1, 1, 1, 9, 29, 25, 45, 91, 145, 927, 147, 371, 2603, 12537, 17267, 59895, 128009}},
-{7602, 17, 15915, {1, 1, 1, 1, 15, 41, 63, 43, 167, 215, 15, 3387, 1811, 12391, 25721, 6961, 13701}},
-{7603, 17, 15938, {1, 1, 7, 1, 27, 63, 25, 85, 337, 799, 87, 2237, 4085, 14529, 11493, 60149, 86399}},
-{7604, 17, 15944, {1, 3, 1, 11, 1, 41, 103, 145, 279, 805, 1201, 823, 5411, 4227, 25999, 14373, 36295}},
-{7605, 17, 15950, {1, 1, 7, 3, 27, 51, 83, 105, 155, 657, 1879, 3869, 2559, 2939, 19785, 47167, 34503}},
-{7606, 17, 15955, {1, 3, 1, 5, 3, 31, 47, 241, 257, 15, 983, 4095, 3745, 3901, 1639, 5421, 81585}},
-{7607, 17, 15974, {1, 3, 3, 5, 31, 13, 127, 125, 175, 577, 1103, 3573, 6229, 13969, 6267, 19067, 3933}},
-{7608, 17, 15978, {1, 1, 7, 1, 31, 17, 15, 15, 411, 553, 1929, 3731, 1955, 11749, 21991, 39189, 124427}},
-{7609, 17, 15980, {1, 3, 5, 5, 19, 63, 93, 201, 491, 599, 1093, 767, 3411, 13087, 23569, 42981, 35757}},
-{7610, 17, 15983, {1, 1, 1, 15, 27, 7, 51, 101, 429, 939, 111, 781, 2055, 14227, 17821, 42097, 32485}},
-{7611, 17, 15991, {1, 3, 7, 13, 11, 21, 3, 161, 353, 389, 285, 2633, 6245, 7089, 21907, 40765, 88869}},
-{7612, 17, 16004, {1, 1, 5, 9, 7, 27, 101, 203, 243, 897, 1375, 1619, 5275, 12935, 22103, 38005, 65603}},
-{7613, 17, 16011, {1, 1, 5, 9, 13, 25, 15, 21, 447, 7, 947, 1613, 5055, 129, 18057, 58551, 6603}},
-{7614, 17, 16016, {1, 3, 7, 15, 17, 41, 11, 55, 103, 339, 349, 1813, 7423, 11837, 20641, 51951, 61615}},
-{7615, 17, 16019, {1, 3, 3, 15, 21, 59, 113, 3, 123, 689, 465, 3039, 4109, 3241, 30317, 65053, 117845}},
-{7616, 17, 16025, {1, 3, 3, 1, 31, 33, 73, 155, 245, 401, 473, 51, 1387, 489, 10573, 55401, 106733}},
-{7617, 17, 16041, {1, 3, 3, 1, 31, 37, 15, 139, 127, 201, 229, 1753, 7287, 9045, 18321, 63485, 26399}},
-{7618, 17, 16064, {1, 3, 5, 5, 5, 23, 93, 3, 125, 715, 1827, 419, 1213, 9031, 25139, 20771, 41345}},
-{7619, 17, 16067, {1, 3, 5, 15, 23, 15, 13, 145, 105, 477, 1131, 2699, 1929, 10447, 9655, 26791, 80101}},
-{7620, 17, 16074, {1, 1, 1, 13, 1, 35, 75, 73, 269, 851, 737, 1909, 6805, 11359, 28991, 52435, 83767}},
-{7621, 17, 16082, {1, 1, 7, 5, 11, 31, 31, 91, 111, 161, 1865, 2545, 133, 12215, 8957, 20671, 92975}},
-{7622, 17, 16103, {1, 1, 7, 5, 25, 53, 55, 121, 53, 457, 831, 2493, 339, 10955, 30783, 9095, 97921}},
-{7623, 17, 16109, {1, 1, 5, 3, 25, 33, 81, 51, 211, 737, 1865, 4039, 6931, 8473, 22459, 24885, 96355}},
-{7624, 17, 16122, {1, 3, 7, 13, 23, 5, 101, 171, 65, 793, 443, 411, 7629, 14791, 28633, 9055, 123763}},
-{7625, 17, 16149, {1, 3, 3, 1, 11, 7, 99, 79, 461, 481, 1689, 3777, 2125, 4783, 13061, 19537, 68109}},
-{7626, 17, 16170, {1, 1, 3, 11, 31, 53, 109, 7, 49, 925, 1017, 2371, 1537, 13557, 75, 40677, 49181}},
-{7627, 17, 16175, {1, 3, 3, 3, 9, 1, 95, 113, 189, 389, 377, 393, 6523, 3183, 6461, 30201, 66549}},
-{7628, 17, 16178, {1, 1, 7, 15, 13, 19, 41, 171, 475, 157, 949, 3245, 5581, 2783, 25263, 53023, 11155}},
-{7629, 17, 16189, {1, 3, 5, 7, 29, 63, 61, 65, 315, 595, 905, 899, 5059, 4243, 27287, 14023, 64213}},
-{7630, 17, 16202, {1, 3, 1, 3, 15, 37, 109, 161, 9, 867, 1023, 2513, 4593, 7747, 1505, 4801, 127091}},
-{7631, 17, 16204, {1, 3, 1, 7, 11, 59, 75, 129, 469, 695, 63, 2757, 6357, 8675, 6193, 23439, 66445}},
-{7632, 17, 16222, {1, 1, 3, 13, 17, 9, 47, 91, 161, 265, 139, 129, 6707, 9659, 8917, 54757, 77835}},
-{7633, 17, 16231, {1, 1, 3, 13, 19, 37, 113, 255, 99, 913, 1445, 487, 337, 1001, 16395, 37141, 66595}},
-{7634, 17, 16238, {1, 1, 1, 15, 3, 63, 69, 43, 185, 293, 1137, 2061, 2377, 8741, 26817, 5833, 7807}},
-{7635, 17, 16262, {1, 1, 1, 5, 3, 29, 39, 33, 263, 355, 597, 539, 5055, 13075, 8977, 19829, 88171}},
-{7636, 17, 16265, {1, 3, 7, 9, 17, 49, 125, 101, 447, 597, 1337, 559, 2807, 7925, 12421, 17427, 34815}},
-{7637, 17, 16276, {1, 3, 1, 9, 11, 57, 31, 163, 503, 925, 911, 3721, 2515, 8429, 25749, 55209, 90105}},
-{7638, 17, 16285, {1, 3, 5, 3, 21, 57, 119, 233, 319, 745, 563, 3057, 2683, 7063, 11513, 49157, 64561}},
-{7639, 17, 16313, {1, 1, 3, 9, 15, 21, 93, 99, 227, 479, 965, 51, 6941, 9887, 32409, 23171, 98387}},
-{7640, 17, 16314, {1, 3, 5, 5, 19, 1, 47, 49, 233, 931, 971, 2369, 2827, 1291, 18653, 725, 19791}},
-{7641, 17, 16321, {1, 1, 5, 15, 3, 7, 71, 251, 341, 861, 1203, 793, 7627, 10929, 10717, 10677, 49743}},
-{7642, 17, 16327, {1, 3, 1, 7, 3, 43, 9, 187, 247, 621, 1069, 2875, 1525, 4221, 18813, 35807, 117609}},
-{7643, 17, 16333, {1, 3, 3, 3, 29, 39, 83, 201, 205, 337, 231, 547, 2893, 2483, 6197, 26869, 18921}},
-{7644, 17, 16334, {1, 1, 7, 3, 23, 29, 33, 137, 491, 691, 979, 65, 5711, 11685, 5137, 37993, 37075}},
-{7645, 17, 16364, {1, 3, 3, 1, 11, 3, 99, 119, 203, 901, 1887, 879, 7547, 4613, 31233, 13279, 105089}},
-{7646, 17, 16369, {1, 1, 1, 13, 25, 23, 111, 167, 313, 141, 127, 1223, 5711, 4101, 10977, 34695, 128303}},
-{7647, 17, 16370, {1, 1, 7, 15, 5, 3, 89, 151, 289, 769, 539, 2883, 8121, 15403, 22345, 63765, 117015}},
-{7648, 17, 16375, {1, 1, 1, 13, 15, 9, 71, 95, 37, 705, 1575, 3735, 7445, 2027, 27523, 53321, 106085}},
-{7649, 17, 16376, {1, 3, 5, 7, 5, 29, 7, 25, 181, 491, 1173, 1947, 3321, 9233, 17265, 26999, 97783}},
-{7650, 17, 16379, {1, 1, 3, 15, 1, 63, 111, 113, 279, 123, 345, 1529, 2725, 8643, 8551, 30073, 26689}},
-{7651, 17, 16393, {1, 3, 7, 7, 5, 55, 117, 211, 293, 851, 1491, 3265, 4009, 14949, 10297, 16219, 69983}},
-{7652, 17, 16402, {1, 1, 3, 11, 23, 45, 35, 91, 97, 191, 417, 3545, 1733, 3955, 10763, 10229, 75027}},
-{7653, 17, 16408, {1, 1, 3, 13, 3, 61, 69, 205, 379, 627, 295, 3979, 85, 11305, 2493, 35583, 3133}},
-{7654, 17, 16418, {1, 3, 5, 9, 5, 63, 67, 201, 351, 367, 1009, 739, 5409, 8715, 28939, 31511, 34599}},
-{7655, 17, 16438, {1, 1, 1, 5, 3, 25, 21, 25, 477, 301, 623, 157, 563, 9457, 24515, 30135, 107165}},
-{7656, 17, 16441, {1, 1, 3, 15, 5, 41, 49, 171, 469, 427, 857, 2165, 1437, 2151, 24061, 63243, 105331}},
-{7657, 17, 16447, {1, 3, 5, 11, 21, 25, 59, 167, 29, 653, 1503, 2223, 3889, 4605, 28381, 36075, 74907}},
-{7658, 17, 16450, {1, 3, 7, 7, 17, 55, 73, 127, 33, 319, 1565, 2761, 6473, 2187, 19939, 56687, 112137}},
-{7659, 17, 16455, {1, 1, 1, 9, 7, 53, 105, 3, 299, 15, 1009, 607, 6885, 12875, 20719, 16841, 70471}},
-{7660, 17, 16459, {1, 3, 5, 9, 7, 33, 23, 163, 279, 739, 1541, 3017, 2309, 11827, 3875, 44337, 82063}},
-{7661, 17, 16483, {1, 1, 1, 5, 19, 53, 109, 193, 331, 339, 477, 4093, 5177, 13527, 25731, 64137, 81411}},
-{7662, 17, 16490, {1, 3, 7, 13, 15, 63, 101, 145, 127, 13, 1431, 3581, 4993, 14287, 12125, 60217, 102563}},
-{7663, 17, 16492, {1, 3, 1, 7, 17, 27, 127, 81, 223, 763, 761, 2061, 1031, 12251, 14141, 23587, 124813}},
-{7664, 17, 16495, {1, 3, 5, 13, 27, 21, 9, 249, 285, 875, 65, 4075, 6749, 13417, 3079, 29343, 87075}},
-{7665, 17, 16523, {1, 3, 5, 13, 1, 31, 61, 21, 169, 145, 1681, 1229, 5059, 13555, 21373, 35597, 70669}},
-{7666, 17, 16528, {1, 3, 7, 15, 23, 31, 43, 237, 139, 9, 1905, 3197, 801, 14205, 13323, 18717, 88523}},
-{7667, 17, 16543, {1, 1, 1, 11, 1, 7, 21, 83, 15, 459, 537, 4029, 6973, 4019, 1, 35147, 16329}},
-{7668, 17, 16553, {1, 3, 7, 15, 23, 11, 17, 101, 235, 683, 913, 3529, 4363, 13899, 3603, 27741, 74143}},
-{7669, 17, 16562, {1, 1, 7, 7, 3, 3, 91, 107, 499, 723, 315, 2805, 5909, 11041, 18281, 54981, 76041}},
-{7670, 17, 16564, {1, 3, 7, 9, 15, 7, 93, 171, 275, 647, 655, 3565, 2199, 14795, 21945, 9373, 122299}},
-{7671, 17, 16576, {1, 1, 1, 5, 27, 53, 73, 27, 431, 707, 53, 1281, 49, 13199, 1973, 18935, 114821}},
-{7672, 17, 16588, {1, 1, 3, 3, 25, 1, 17, 159, 217, 413, 1393, 2119, 5611, 7659, 6003, 19927, 22287}},
-{7673, 17, 16612, {1, 1, 7, 15, 29, 59, 77, 9, 205, 795, 627, 2167, 2477, 6841, 17663, 34871, 79823}},
-{7674, 17, 16630, {1, 3, 5, 9, 13, 35, 79, 237, 11, 335, 789, 2291, 13, 853, 20373, 39049, 407}},
-{7675, 17, 16654, {1, 1, 5, 7, 13, 27, 21, 173, 137, 659, 123, 2677, 2153, 14879, 26737, 56291, 47613}},
-{7676, 17, 16656, {1, 3, 5, 15, 23, 47, 15, 109, 311, 597, 261, 2407, 8139, 3215, 28169, 60731, 79937}},
-{7677, 17, 16668, {1, 3, 3, 5, 11, 61, 71, 29, 189, 741, 1171, 397, 2669, 10627, 20037, 51703, 6697}},
-{7678, 17, 16672, {1, 3, 3, 3, 9, 41, 125, 1, 381, 399, 349, 3265, 6337, 8113, 14869, 5305, 83409}},
-{7679, 17, 16675, {1, 1, 3, 13, 5, 19, 33, 225, 45, 55, 1809, 1037, 5443, 15719, 9963, 363, 15145}},
-{7680, 17, 16678, {1, 3, 7, 1, 31, 25, 103, 29, 207, 169, 305, 913, 7501, 15323, 10575, 13477, 65245}},
-{7681, 17, 16681, {1, 3, 3, 15, 13, 23, 69, 255, 333, 157, 279, 1989, 3439, 12955, 13649, 52431, 90009}},
-{7682, 17, 16689, {1, 3, 7, 5, 23, 61, 111, 121, 79, 469, 89, 1545, 3405, 12393, 2035, 15989, 84855}},
-{7683, 17, 16699, {1, 1, 7, 5, 17, 21, 127, 151, 283, 521, 5, 3023, 5365, 11633, 21177, 42207, 48925}},
-{7684, 17, 16719, {1, 3, 7, 5, 21, 21, 61, 17, 415, 879, 1485, 3727, 935, 9899, 23241, 651, 103701}},
-{7685, 17, 16734, {1, 3, 5, 15, 31, 47, 19, 245, 249, 467, 253, 1575, 337, 863, 19353, 13153, 125453}},
-{7686, 17, 16737, {1, 1, 7, 15, 9, 41, 39, 63, 139, 875, 1011, 1961, 1627, 7461, 28961, 47195, 16239}},
-{7687, 17, 16750, {1, 3, 3, 7, 27, 55, 51, 245, 231, 619, 43, 91, 2125, 2685, 23661, 10189, 43085}},
-{7688, 17, 16752, {1, 1, 7, 9, 27, 55, 35, 139, 187, 143, 1545, 2685, 3173, 12065, 21607, 42619, 105279}},
-{7689, 17, 16757, {1, 1, 5, 3, 29, 63, 15, 197, 49, 995, 389, 1959, 2441, 11509, 31753, 40539, 26989}},
-{7690, 17, 16761, {1, 3, 7, 15, 19, 37, 17, 37, 305, 469, 945, 2335, 1493, 13843, 19905, 49031, 107893}},
-{7691, 17, 16773, {1, 3, 1, 11, 3, 35, 113, 181, 223, 27, 485, 2435, 3423, 11321, 1687, 45755, 18017}},
-{7692, 17, 16774, {1, 3, 3, 13, 17, 47, 109, 145, 287, 769, 1373, 3423, 1251, 14357, 3209, 28363, 97987}},
-{7693, 17, 16801, {1, 1, 3, 13, 7, 25, 93, 11, 23, 331, 517, 1705, 1957, 291, 763, 10411, 120367}},
-{7694, 17, 16802, {1, 3, 7, 15, 25, 9, 1, 33, 83, 61, 97, 509, 5387, 8701, 14243, 31883, 7375}},
-{7695, 17, 16822, {1, 3, 1, 5, 19, 11, 59, 95, 265, 205, 533, 1857, 693, 12469, 24445, 19449, 130623}},
-{7696, 17, 16831, {1, 1, 7, 7, 1, 5, 15, 159, 333, 361, 391, 1889, 2645, 15115, 30709, 60515, 13315}},
-{7697, 17, 16840, {1, 3, 5, 15, 25, 61, 69, 213, 183, 575, 1573, 3147, 1753, 2387, 23063, 12853, 108507}},
-{7698, 17, 16854, {1, 1, 1, 15, 17, 31, 11, 177, 411, 23, 469, 3985, 2159, 2273, 14175, 20425, 107741}},
-{7699, 17, 16858, {1, 1, 3, 9, 5, 35, 55, 225, 263, 641, 1393, 1277, 595, 2671, 7039, 64999, 114387}},
-{7700, 17, 16863, {1, 1, 3, 3, 11, 23, 1, 161, 77, 755, 1325, 1773, 4291, 13119, 29677, 27295, 81713}},
-{7701, 17, 16867, {1, 1, 5, 13, 31, 45, 115, 141, 449, 171, 1413, 2411, 7937, 10859, 19453, 64403, 45169}},
-{7702, 17, 16876, {1, 3, 5, 7, 1, 27, 117, 157, 99, 119, 1281, 2633, 5117, 16009, 19545, 7421, 30807}},
-{7703, 17, 16891, {1, 1, 3, 13, 19, 11, 61, 239, 331, 731, 1723, 1773, 2623, 15255, 17197, 63793, 100433}},
-{7704, 17, 16894, {1, 3, 7, 11, 11, 7, 119, 33, 195, 521, 811, 2599, 3113, 5497, 16751, 2541, 21813}},
-{7705, 17, 16898, {1, 1, 1, 15, 23, 47, 25, 73, 429, 213, 557, 1613, 7055, 7211, 2225, 1345, 58033}},
-{7706, 17, 16907, {1, 1, 1, 13, 15, 39, 69, 71, 11, 543, 267, 2803, 4853, 9819, 603, 4629, 78343}},
-{7707, 17, 16915, {1, 1, 7, 1, 15, 55, 47, 223, 63, 679, 1135, 3225, 3845, 12031, 6761, 20337, 29021}},
-{7708, 17, 16917, {1, 1, 3, 3, 3, 51, 127, 103, 43, 379, 169, 2549, 7775, 2553, 27415, 30671, 34043}},
-{7709, 17, 16922, {1, 1, 3, 11, 1, 31, 89, 113, 475, 857, 499, 3901, 5343, 8819, 4503, 58757, 60513}},
-{7710, 17, 16924, {1, 3, 5, 11, 27, 49, 97, 217, 91, 971, 1835, 3447, 2021, 3747, 20533, 13659, 84007}},
-{7711, 17, 16933, {1, 1, 5, 1, 31, 39, 49, 21, 135, 983, 579, 3509, 3611, 15101, 29781, 49941, 14353}},
-{7712, 17, 16938, {1, 1, 1, 9, 7, 17, 55, 233, 295, 161, 823, 3823, 4771, 13531, 24197, 42629, 60269}},
-{7713, 17, 16952, {1, 1, 3, 15, 23, 5, 101, 167, 55, 297, 1733, 3819, 7041, 9915, 27803, 60359, 10249}},
-{7714, 17, 16960, {1, 1, 7, 9, 25, 47, 67, 253, 303, 313, 1389, 3785, 2729, 11471, 27267, 42783, 111595}},
-{7715, 17, 16963, {1, 1, 5, 13, 25, 63, 17, 195, 457, 793, 1553, 1673, 6799, 12171, 9003, 22195, 90229}},
-{7716, 17, 16969, {1, 1, 3, 15, 11, 43, 43, 221, 423, 985, 873, 599, 1753, 4875, 7149, 34625, 8941}},
-{7717, 17, 16978, {1, 3, 5, 11, 1, 7, 109, 163, 309, 477, 1291, 3019, 1933, 14055, 15005, 1141, 66867}},
-{7718, 17, 17014, {1, 3, 3, 15, 21, 35, 95, 131, 413, 1009, 147, 2165, 6333, 8313, 20873, 18377, 23579}},
-{7719, 17, 17020, {1, 3, 1, 5, 21, 49, 29, 187, 67, 419, 253, 2345, 3179, 12331, 23127, 8799, 102493}},
-{7720, 17, 17034, {1, 1, 7, 5, 29, 59, 13, 189, 377, 595, 1893, 527, 7993, 14867, 24671, 14585, 38645}},
-{7721, 17, 17036, {1, 3, 5, 13, 3, 11, 99, 69, 253, 833, 1961, 2719, 3953, 8143, 21277, 16257, 26929}},
-{7722, 17, 17042, {1, 3, 7, 3, 3, 19, 19, 57, 393, 187, 945, 2107, 669, 14785, 13895, 26907, 92439}},
-{7723, 17, 17047, {1, 3, 5, 15, 11, 5, 73, 167, 99, 887, 1213, 2019, 3781, 14345, 30249, 16215, 1893}},
-{7724, 17, 17051, {1, 1, 5, 1, 17, 11, 69, 145, 97, 393, 1587, 2513, 1011, 6933, 7945, 41387, 34361}},
-{7725, 17, 17054, {1, 1, 5, 1, 5, 59, 57, 1, 501, 855, 1485, 977, 4981, 7631, 31853, 30737, 103023}},
-{7726, 17, 17063, {1, 3, 1, 5, 3, 27, 55, 171, 317, 641, 1875, 2523, 1631, 4971, 18743, 25119, 118913}},
-{7727, 17, 17069, {1, 1, 3, 15, 7, 39, 73, 209, 125, 29, 1031, 1569, 1793, 5461, 985, 59441, 92997}},
-{7728, 17, 17075, {1, 3, 5, 11, 27, 23, 57, 13, 65, 555, 1309, 1149, 5125, 11573, 3835, 57913, 78699}},
-{7729, 17, 17077, {1, 3, 7, 5, 29, 7, 51, 131, 443, 623, 1491, 1067, 6647, 6277, 25799, 54843, 90869}},
-{7730, 17, 17089, {1, 1, 1, 11, 7, 33, 67, 113, 319, 665, 11, 1225, 3137, 16269, 20101, 40263, 31091}},
-{7731, 17, 17090, {1, 3, 5, 15, 7, 5, 101, 153, 165, 173, 97, 1651, 6633, 6071, 29079, 35641, 77305}},
-{7732, 17, 17107, {1, 3, 7, 13, 9, 45, 103, 55, 121, 1021, 1841, 315, 8127, 6547, 1093, 7181, 39575}},
-{7733, 17, 17126, {1, 3, 3, 11, 15, 17, 27, 55, 341, 443, 377, 681, 3635, 1091, 16719, 49403, 85507}},
-{7734, 17, 17135, {1, 3, 5, 5, 29, 53, 51, 213, 273, 475, 981, 549, 539, 14989, 4037, 23911, 45997}},
-{7735, 17, 17150, {1, 3, 5, 3, 27, 37, 73, 115, 331, 911, 991, 4049, 6299, 3919, 10231, 31507, 98651}},
-{7736, 17, 17162, {1, 1, 5, 13, 21, 13, 1, 175, 137, 837, 1067, 2845, 307, 4399, 15671, 1309, 107409}},
-{7737, 17, 17169, {1, 1, 3, 1, 5, 47, 111, 75, 193, 389, 157, 3731, 6237, 5053, 9933, 28413, 32939}},
-{7738, 17, 17172, {1, 1, 7, 5, 29, 1, 51, 85, 267, 935, 1021, 3135, 3135, 9263, 32597, 6779, 71473}},
-{7739, 17, 17175, {1, 3, 5, 9, 21, 59, 27, 99, 155, 507, 1911, 3501, 4307, 6755, 17127, 29815, 1577}},
-{7740, 17, 17176, {1, 1, 5, 1, 15, 63, 45, 105, 125, 299, 689, 3935, 7229, 5007, 25003, 30453, 27819}},
-{7741, 17, 17191, {1, 1, 7, 15, 19, 9, 67, 151, 45, 985, 2015, 833, 5435, 15383, 25881, 46735, 56717}},
-{7742, 17, 17209, {1, 1, 5, 15, 27, 59, 119, 163, 293, 63, 1251, 1309, 485, 4937, 27207, 47481, 114357}},
-{7743, 17, 17218, {1, 3, 5, 13, 23, 11, 111, 87, 329, 467, 1657, 3309, 3421, 12013, 23163, 14105, 88761}},
-{7744, 17, 17220, {1, 1, 5, 11, 17, 63, 9, 61, 299, 585, 341, 3375, 3213, 15953, 11455, 5333, 66889}},
-{7745, 17, 17227, {1, 3, 5, 5, 5, 35, 57, 235, 137, 543, 77, 2811, 857, 12793, 10791, 55711, 93353}},
-{7746, 17, 17229, {1, 3, 7, 3, 23, 37, 19, 81, 321, 23, 1625, 2359, 3569, 4685, 7385, 32677, 18073}},
-{7747, 17, 17238, {1, 3, 3, 7, 21, 35, 81, 229, 207, 547, 1397, 2709, 7159, 1265, 16823, 9921, 29159}},
-{7748, 17, 17251, {1, 3, 7, 13, 27, 13, 107, 241, 395, 317, 307, 3927, 1153, 15915, 25179, 25173, 21503}},
-{7749, 17, 17257, {1, 3, 1, 5, 1, 51, 25, 135, 381, 229, 1491, 2009, 3331, 16165, 8169, 65161, 9335}},
-{7750, 17, 17258, {1, 1, 5, 5, 17, 15, 57, 221, 183, 225, 1649, 3701, 299, 12349, 4691, 64479, 82237}},
-{7751, 17, 17272, {1, 3, 7, 7, 31, 39, 65, 183, 149, 67, 1697, 3933, 3709, 15501, 12583, 60117, 88691}},
-{7752, 17, 17277, {1, 1, 5, 15, 17, 49, 117, 233, 161, 891, 789, 1347, 4887, 10713, 10613, 4389, 42619}},
-{7753, 17, 17308, {1, 3, 5, 9, 13, 3, 83, 69, 381, 777, 743, 2843, 7233, 3285, 8931, 48667, 120777}},
-{7754, 17, 17311, {1, 3, 1, 3, 11, 7, 55, 107, 165, 533, 1897, 3385, 1069, 12805, 30125, 42729, 123977}},
-{7755, 17, 17321, {1, 1, 1, 5, 13, 17, 103, 237, 77, 537, 1843, 2817, 7467, 13647, 15259, 3525, 18313}},
-{7756, 17, 17329, {1, 1, 7, 7, 13, 59, 29, 197, 309, 917, 1173, 2605, 4313, 12007, 25611, 60409, 104931}},
-{7757, 17, 17342, {1, 3, 3, 3, 27, 57, 7, 207, 491, 467, 1973, 3075, 8043, 3977, 14517, 13179, 47111}},
-{7758, 17, 17344, {1, 1, 7, 5, 31, 33, 125, 235, 79, 847, 1893, 3875, 7513, 1435, 24959, 46813, 82053}},
-{7759, 17, 17350, {1, 3, 7, 5, 3, 53, 103, 1, 215, 71, 787, 223, 1399, 6793, 11281, 39201, 122119}},
-{7760, 17, 17356, {1, 3, 3, 3, 3, 57, 7, 151, 319, 463, 685, 2917, 4037, 14929, 11971, 41827, 57449}},
-{7761, 17, 17371, {1, 1, 7, 3, 5, 11, 15, 139, 379, 563, 135, 65, 5633, 7535, 1451, 18289, 62457}},
-{7762, 17, 17374, {1, 1, 1, 15, 11, 23, 37, 57, 205, 107, 995, 151, 3279, 2015, 28927, 40731, 95551}},
-{7763, 17, 17392, {1, 3, 5, 9, 15, 43, 95, 217, 203, 215, 203, 2207, 8189, 465, 2175, 29285, 25375}},
-{7764, 17, 17402, {1, 3, 3, 5, 19, 59, 51, 123, 285, 721, 1335, 1777, 1645, 15811, 16539, 14637, 123323}},
-{7765, 17, 17410, {1, 3, 5, 5, 11, 35, 23, 23, 259, 789, 567, 1921, 4743, 6635, 6965, 43025, 43175}},
-{7766, 17, 17421, {1, 3, 7, 3, 7, 27, 77, 121, 285, 65, 647, 591, 2553, 7163, 12057, 43675, 24227}},
-{7767, 17, 17424, {1, 1, 5, 9, 3, 25, 17, 85, 235, 715, 1913, 2391, 3719, 11029, 18359, 6323, 4703}},
-{7768, 17, 17427, {1, 1, 1, 3, 25, 31, 37, 31, 89, 311, 1797, 3409, 6785, 9627, 29721, 58591, 111429}},
-{7769, 17, 17434, {1, 3, 1, 5, 9, 37, 47, 45, 419, 115, 1009, 1359, 65, 1161, 15673, 16075, 63895}},
-{7770, 17, 17449, {1, 1, 3, 5, 25, 47, 27, 87, 441, 547, 1801, 3589, 3773, 12215, 14509, 12669, 99983}},
-{7771, 17, 17452, {1, 1, 1, 3, 19, 33, 51, 91, 447, 577, 491, 539, 3177, 7033, 21633, 51737, 47089}},
-{7772, 17, 17463, {1, 1, 3, 15, 23, 53, 93, 113, 143, 973, 999, 2355, 1489, 3451, 29821, 23769, 74633}},
-{7773, 17, 17470, {1, 3, 7, 11, 27, 1, 35, 109, 111, 51, 425, 3203, 2585, 11255, 20939, 281, 92133}},
-{7774, 17, 17477, {1, 1, 1, 11, 13, 37, 13, 149, 421, 655, 79, 3093, 6429, 1145, 27663, 52861, 81431}},
-{7775, 17, 17482, {1, 1, 5, 13, 19, 23, 105, 39, 97, 239, 469, 1047, 4727, 12009, 8055, 45557, 124219}},
-{7776, 17, 17490, {1, 1, 1, 7, 7, 7, 5, 53, 269, 391, 1893, 2263, 2109, 11531, 12109, 31437, 20445}},
-{7777, 17, 17496, {1, 1, 3, 11, 9, 35, 69, 209, 93, 455, 1117, 3297, 2597, 15035, 17943, 19955, 829}},
-{7778, 17, 17508, {1, 1, 5, 7, 23, 23, 101, 71, 339, 553, 1653, 2997, 1191, 3121, 4575, 49979, 17353}},
-{7779, 17, 17511, {1, 3, 3, 13, 13, 9, 51, 181, 33, 185, 111, 589, 3117, 10105, 28811, 31529, 79657}},
-{7780, 17, 17536, {1, 1, 5, 3, 9, 57, 103, 65, 211, 473, 519, 3815, 4087, 2767, 10213, 37829, 9523}},
-{7781, 17, 17563, {1, 1, 5, 7, 7, 31, 81, 161, 311, 617, 1689, 3133, 57, 14595, 22783, 18475, 85811}},
-{7782, 17, 17570, {1, 3, 5, 5, 21, 51, 99, 249, 7, 525, 885, 3981, 2851, 529, 947, 29885, 122901}},
-{7783, 17, 17581, {1, 3, 1, 5, 1, 23, 85, 91, 309, 747, 183, 1347, 2399, 15777, 16205, 15687, 117333}},
-{7784, 17, 17590, {1, 3, 7, 3, 29, 21, 99, 137, 297, 229, 1063, 2747, 6415, 7791, 4775, 62863, 50849}},
-{7785, 17, 17608, {1, 3, 1, 3, 11, 3, 53, 153, 103, 911, 1595, 1899, 1049, 11643, 21105, 61587, 92399}},
-{7786, 17, 17616, {1, 1, 5, 15, 29, 55, 99, 101, 181, 453, 1917, 2081, 4687, 4335, 2817, 11861, 103167}},
-{7787, 17, 17621, {1, 3, 7, 15, 11, 7, 9, 3, 477, 281, 1141, 453, 4993, 7843, 6169, 49785, 53827}},
-{7788, 17, 17628, {1, 3, 7, 11, 25, 61, 77, 159, 83, 95, 1223, 85, 6309, 16145, 18729, 133, 14193}},
-{7789, 17, 17644, {1, 3, 3, 1, 7, 27, 97, 183, 263, 59, 915, 3857, 3349, 8123, 11251, 55163, 125703}},
-{7790, 17, 17649, {1, 3, 5, 5, 17, 33, 57, 55, 503, 811, 953, 349, 1949, 9127, 31015, 14475, 116769}},
-{7791, 17, 17652, {1, 3, 1, 1, 3, 53, 59, 131, 421, 971, 89, 3047, 3513, 13599, 4569, 54525, 54779}},
-{7792, 17, 17679, {1, 1, 3, 11, 9, 45, 95, 123, 197, 257, 1073, 1461, 5, 12701, 12559, 34989, 71631}},
-{7793, 17, 17691, {1, 3, 3, 7, 1, 27, 55, 191, 447, 561, 1975, 2665, 1341, 8969, 18519, 47389, 70847}},
-{7794, 17, 17693, {1, 1, 5, 5, 3, 31, 15, 165, 95, 423, 233, 2309, 7777, 3503, 20105, 3085, 92349}},
-{7795, 17, 17697, {1, 3, 1, 13, 23, 61, 7, 55, 157, 1, 83, 515, 2169, 14397, 18149, 56855, 117265}},
-{7796, 17, 17698, {1, 3, 3, 3, 3, 59, 69, 95, 127, 241, 65, 3145, 491, 13809, 17529, 20223, 96579}},
-{7797, 17, 17700, {1, 1, 1, 5, 13, 43, 117, 163, 305, 955, 2007, 3337, 807, 16019, 5721, 5479, 90937}},
-{7798, 17, 17704, {1, 3, 3, 1, 19, 9, 127, 5, 113, 491, 1873, 2127, 7949, 5207, 32531, 775, 131065}},
-{7799, 17, 17707, {1, 1, 7, 3, 1, 3, 91, 187, 37, 873, 1039, 4075, 5645, 243, 15127, 45615, 3813}},
-{7800, 17, 17715, {1, 1, 3, 11, 3, 37, 67, 59, 439, 763, 213, 1099, 1659, 12783, 30297, 60713, 43497}},
-{7801, 17, 17718, {1, 3, 3, 13, 23, 49, 47, 191, 245, 985, 487, 3165, 7803, 2437, 19073, 30605, 119641}},
-{7802, 17, 17721, {1, 3, 7, 7, 19, 43, 7, 253, 93, 99, 145, 219, 699, 2433, 3009, 565, 99671}},
-{7803, 17, 17722, {1, 1, 3, 13, 7, 5, 9, 23, 219, 155, 925, 3427, 6631, 16353, 4115, 20831, 49525}},
-{7804, 17, 17727, {1, 1, 7, 11, 15, 45, 41, 35, 301, 273, 241, 4031, 5441, 8281, 9341, 8499, 73841}},
-{7805, 17, 17729, {1, 3, 7, 13, 9, 19, 79, 3, 163, 197, 509, 2301, 6971, 11525, 8805, 33805, 111595}},
-{7806, 17, 17747, {1, 3, 3, 1, 15, 45, 69, 253, 155, 639, 1045, 749, 3619, 14871, 18063, 49763, 66687}},
-{7807, 17, 17754, {1, 3, 3, 3, 29, 5, 41, 171, 265, 677, 1719, 2623, 1721, 12243, 18741, 39595, 92873}},
-{7808, 17, 17756, {1, 3, 5, 7, 27, 23, 69, 61, 453, 399, 1857, 3901, 6565, 15595, 1083, 15065, 91249}},
-{7809, 17, 17760, {1, 1, 5, 7, 1, 27, 9, 145, 95, 983, 685, 2079, 5117, 5037, 22695, 53135, 43569}},
-{7810, 17, 17765, {1, 1, 3, 5, 5, 7, 69, 59, 331, 409, 179, 333, 1293, 3863, 9473, 12537, 55605}},
-{7811, 17, 17778, {1, 3, 5, 1, 1, 19, 1, 49, 317, 769, 91, 2073, 1765, 1197, 15029, 52553, 57361}},
-{7812, 17, 17784, {1, 1, 5, 1, 23, 13, 11, 69, 345, 877, 41, 817, 617, 14415, 8337, 53973, 50007}},
-{7813, 17, 17794, {1, 1, 7, 3, 19, 27, 69, 103, 115, 893, 219, 2891, 2813, 9933, 26401, 63323, 30909}},
-{7814, 17, 17805, {1, 1, 5, 5, 27, 15, 119, 3, 11, 783, 541, 2431, 2395, 3921, 15471, 34657, 100295}},
-{7815, 17, 17806, {1, 1, 7, 11, 15, 25, 39, 191, 345, 1001, 1773, 715, 1627, 15957, 30085, 34097, 58747}},
-{7816, 17, 17817, {1, 1, 1, 5, 17, 43, 65, 81, 487, 387, 1359, 145, 2231, 6693, 15857, 59539, 79615}},
-{7817, 17, 17824, {1, 1, 3, 5, 15, 19, 17, 233, 247, 611, 587, 2587, 2321, 2835, 1477, 41991, 88143}},
-{7818, 17, 17839, {1, 3, 3, 15, 27, 15, 53, 61, 359, 989, 283, 3569, 5551, 11849, 20995, 34065, 69407}},
-{7819, 17, 17842, {1, 3, 3, 11, 13, 31, 41, 87, 379, 47, 1289, 3143, 4213, 8643, 17065, 10707, 62773}},
-{7820, 17, 17844, {1, 3, 7, 1, 9, 61, 59, 121, 453, 663, 27, 793, 4501, 7713, 285, 13279, 11633}},
-{7821, 17, 17851, {1, 1, 7, 5, 29, 51, 57, 15, 233, 743, 879, 2317, 3399, 15741, 605, 57529, 87427}},
-{7822, 17, 17862, {1, 1, 1, 1, 19, 59, 51, 119, 273, 403, 1649, 3877, 3561, 10931, 21139, 2599, 77957}},
-{7823, 17, 17868, {1, 3, 1, 3, 5, 1, 79, 131, 251, 585, 359, 2073, 7041, 13611, 22937, 24645, 72827}},
-{7824, 17, 17871, {1, 3, 7, 9, 19, 39, 93, 137, 359, 565, 1123, 1301, 4111, 13683, 1361, 25147, 38315}},
-{7825, 17, 17873, {1, 1, 5, 13, 27, 31, 11, 243, 111, 243, 1615, 1649, 2999, 15873, 19161, 57485, 35819}},
-{7826, 17, 17896, {1, 3, 3, 5, 25, 57, 61, 207, 219, 969, 303, 1165, 6753, 13473, 10789, 52883, 45205}},
-{7827, 17, 17904, {1, 1, 7, 11, 9, 53, 55, 175, 399, 981, 255, 2499, 373, 13131, 26803, 48017, 25599}},
-{7828, 17, 17909, {1, 1, 3, 3, 11, 23, 73, 25, 83, 39, 1813, 747, 3287, 795, 11917, 55509, 105057}},
-{7829, 17, 17920, {1, 3, 7, 15, 29, 59, 47, 171, 219, 875, 71, 123, 8131, 15595, 12471, 62439, 131}},
-{7830, 17, 17923, {1, 3, 5, 13, 9, 27, 119, 233, 323, 943, 375, 3647, 185, 1639, 431, 27225, 130175}},
-{7831, 17, 17947, {1, 3, 7, 3, 7, 17, 31, 155, 89, 835, 1015, 2019, 3973, 7087, 16899, 29591, 40797}},
-{7832, 17, 17950, {1, 3, 3, 1, 3, 11, 83, 231, 209, 537, 1227, 1519, 1059, 14027, 18591, 34031, 125755}},
-{7833, 17, 17956, {1, 3, 3, 1, 7, 39, 19, 99, 169, 961, 385, 1621, 7373, 7459, 8979, 23643, 17101}},
-{7834, 17, 17959, {1, 1, 3, 11, 11, 23, 61, 37, 359, 981, 209, 2555, 2673, 6501, 12731, 10735, 97321}},
-{7835, 17, 17966, {1, 1, 3, 13, 15, 61, 115, 119, 99, 755, 1933, 345, 3133, 12071, 26657, 7133, 18553}},
-{7836, 17, 17971, {1, 3, 1, 5, 17, 7, 29, 119, 445, 911, 89, 19, 6137, 8037, 19527, 22467, 29253}},
-{7837, 17, 17973, {1, 1, 3, 11, 31, 21, 119, 21, 249, 371, 343, 4037, 7539, 14473, 23829, 46415, 60911}},
-{7838, 17, 17992, {1, 1, 7, 9, 21, 53, 29, 149, 467, 893, 479, 359, 1007, 13955, 9667, 10245, 74761}},
-{7839, 17, 18006, {1, 3, 1, 7, 7, 45, 7, 77, 289, 271, 1329, 261, 5675, 8275, 7443, 57945, 117825}},
-{7840, 17, 18009, {1, 1, 1, 3, 21, 57, 117, 77, 287, 119, 1073, 915, 2521, 455, 7433, 56953, 84433}},
-{7841, 17, 18010, {1, 1, 1, 9, 27, 47, 1, 189, 303, 375, 215, 3117, 4541, 12877, 15523, 32317, 104213}},
-{7842, 17, 18022, {1, 1, 3, 1, 13, 39, 37, 249, 371, 159, 1073, 1351, 4703, 2715, 17463, 3945, 51523}},
-{7843, 17, 18039, {1, 3, 5, 5, 29, 15, 79, 25, 61, 995, 1081, 3377, 345, 13773, 4205, 20589, 83591}},
-{7844, 17, 18046, {1, 1, 3, 1, 9, 1, 41, 39, 389, 509, 561, 3273, 1911, 15271, 22655, 34713, 2045}},
-{7845, 17, 18069, {1, 3, 1, 15, 17, 1, 55, 55, 119, 707, 843, 2657, 3687, 11557, 18331, 4935, 110639}},
-{7846, 17, 18074, {1, 3, 5, 1, 23, 35, 119, 215, 471, 643, 1581, 1965, 2627, 2991, 3361, 6737, 111657}},
-{7847, 17, 18076, {1, 3, 5, 7, 9, 19, 33, 197, 33, 993, 1795, 595, 7113, 14721, 12647, 41035, 13669}},
-{7848, 17, 18085, {1, 1, 7, 15, 31, 39, 51, 157, 373, 473, 665, 3541, 6695, 11741, 5617, 17189, 129851}},
-{7849, 17, 18086, {1, 3, 3, 7, 15, 37, 33, 175, 391, 159, 717, 593, 113, 9331, 10685, 59003, 26975}},
-{7850, 17, 18095, {1, 1, 3, 5, 13, 41, 11, 109, 9, 899, 1503, 901, 6237, 7789, 9963, 14923, 63665}},
-{7851, 17, 18100, {1, 3, 7, 7, 25, 61, 3, 231, 235, 29, 1049, 1997, 5371, 9047, 29595, 49239, 108649}},
-{7852, 17, 18109, {1, 1, 3, 5, 27, 1, 53, 209, 315, 747, 1803, 11, 1815, 6539, 8839, 18385, 88681}},
-{7853, 17, 18121, {1, 1, 5, 13, 25, 55, 117, 197, 13, 689, 751, 1203, 2277, 1763, 23453, 54459, 118023}},
-{7854, 17, 18127, {1, 3, 3, 11, 21, 1, 51, 101, 429, 723, 273, 3021, 1491, 9923, 6629, 63741, 98813}},
-{7855, 17, 18129, {1, 1, 1, 15, 17, 25, 111, 251, 43, 403, 465, 17, 787, 6045, 32185, 22921, 115851}},
-{7856, 17, 18132, {1, 1, 5, 11, 11, 13, 13, 93, 489, 941, 1391, 383, 7735, 1921, 16199, 53099, 25181}},
-{7857, 17, 18141, {1, 3, 3, 7, 15, 1, 3, 159, 507, 867, 1589, 2111, 3839, 8989, 12589, 37657, 97055}},
-{7858, 17, 18146, {1, 3, 3, 13, 25, 23, 7, 95, 489, 1001, 105, 2737, 5013, 14465, 25383, 57551, 77425}},
-{7859, 17, 18151, {1, 3, 5, 3, 3, 7, 81, 15, 255, 297, 1183, 655, 741, 3081, 2141, 34493, 103707}},
-{7860, 17, 18157, {1, 1, 7, 9, 27, 57, 49, 121, 21, 239, 829, 2001, 613, 9569, 4419, 20007, 59109}},
-{7861, 17, 18160, {1, 3, 7, 1, 3, 21, 109, 255, 45, 333, 915, 1245, 5893, 765, 28289, 53927, 15335}},
-{7862, 17, 18183, {1, 3, 3, 7, 5, 35, 33, 79, 111, 509, 347, 3915, 2017, 6461, 11847, 17807, 48601}},
-{7863, 17, 18204, {1, 3, 5, 1, 13, 63, 87, 65, 507, 277, 339, 3637, 6289, 719, 9383, 38887, 55061}},
-{7864, 17, 18218, {1, 1, 5, 15, 17, 5, 59, 107, 355, 1021, 1849, 1807, 7679, 305, 31533, 1221, 98165}},
-{7865, 17, 18226, {1, 1, 1, 13, 19, 7, 37, 63, 267, 399, 1451, 2149, 1003, 13635, 18693, 215, 15887}},
-{7866, 17, 18238, {1, 1, 3, 7, 11, 63, 81, 251, 253, 963, 635, 1697, 6393, 9775, 24189, 9099, 106277}},
-{7867, 17, 18245, {1, 3, 3, 13, 17, 47, 63, 47, 279, 879, 271, 1655, 1897, 10743, 2607, 16695, 32779}},
-{7868, 17, 18249, {1, 3, 5, 15, 3, 1, 121, 181, 303, 973, 19, 3327, 3827, 2197, 31857, 22835, 122611}},
-{7869, 17, 18260, {1, 1, 5, 13, 25, 41, 105, 197, 195, 85, 1515, 2735, 7539, 7557, 24297, 38721, 46895}},
-{7870, 17, 18267, {1, 1, 1, 1, 15, 63, 33, 7, 43, 971, 781, 1461, 4483, 2113, 32459, 37653, 68017}},
-{7871, 17, 18270, {1, 3, 3, 9, 7, 1, 65, 183, 171, 695, 191, 3675, 6749, 6823, 3577, 45031, 81597}},
-{7872, 17, 18273, {1, 3, 3, 3, 9, 61, 13, 159, 295, 329, 943, 3293, 79, 14497, 21461, 4667, 96435}},
-{7873, 17, 18274, {1, 1, 7, 9, 29, 37, 117, 215, 295, 591, 1139, 3093, 7469, 7995, 13581, 48075, 5943}},
-{7874, 17, 18276, {1, 3, 1, 9, 11, 11, 117, 255, 419, 551, 1445, 1987, 1169, 14227, 31095, 36041, 63739}},
-{7875, 17, 18283, {1, 1, 7, 15, 17, 25, 81, 27, 87, 463, 1871, 551, 7449, 12231, 28645, 32663, 43037}},
-{7876, 17, 18307, {1, 3, 5, 11, 3, 49, 109, 123, 397, 113, 1269, 2433, 4463, 1257, 2127, 6677, 96009}},
-{7877, 17, 18314, {1, 1, 1, 11, 27, 19, 83, 123, 297, 867, 941, 3929, 3483, 4641, 32505, 48999, 66169}},
-{7878, 17, 18321, {1, 1, 5, 11, 5, 21, 11, 255, 369, 859, 657, 587, 5245, 12973, 22403, 47935, 121375}},
-{7879, 17, 18334, {1, 3, 1, 13, 17, 43, 83, 51, 339, 967, 499, 1485, 5203, 10053, 31707, 31443, 75033}},
-{7880, 17, 18355, {1, 1, 5, 13, 11, 5, 121, 121, 73, 101, 1751, 3805, 1333, 14043, 26957, 27557, 110899}},
-{7881, 17, 18364, {1, 3, 7, 11, 9, 7, 125, 237, 437, 177, 841, 175, 5509, 9157, 3129, 54119, 109315}},
-{7882, 17, 18372, {1, 3, 7, 15, 1, 59, 87, 121, 43, 475, 1589, 1267, 1501, 1585, 31705, 33959, 27247}},
-{7883, 17, 18390, {1, 1, 5, 3, 27, 63, 117, 205, 169, 701, 1081, 2835, 8049, 11875, 4143, 17663, 90043}},
-{7884, 17, 18399, {1, 3, 1, 9, 23, 27, 31, 141, 411, 145, 1177, 3681, 3403, 6943, 10729, 47219, 102713}},
-{7885, 17, 18415, {1, 1, 7, 11, 5, 49, 33, 27, 121, 865, 471, 1871, 6945, 10051, 4493, 7121, 65551}},
-{7886, 17, 18420, {1, 1, 5, 1, 17, 27, 53, 13, 31, 403, 1319, 1381, 1371, 11693, 18805, 54683, 30137}},
-{7887, 17, 18434, {1, 1, 7, 11, 9, 21, 71, 155, 79, 145, 943, 3891, 641, 3163, 28493, 14729, 83391}},
-{7888, 17, 18443, {1, 3, 3, 13, 3, 53, 21, 189, 245, 803, 1625, 4005, 1163, 16033, 5549, 14301, 115859}},
-{7889, 17, 18446, {1, 3, 1, 5, 17, 59, 61, 31, 293, 677, 1753, 1803, 1671, 14619, 22361, 61453, 78203}},
-{7890, 17, 18460, {1, 3, 3, 1, 5, 51, 99, 231, 175, 97, 1335, 689, 1913, 6157, 22757, 52395, 118347}},
-{7891, 17, 18467, {1, 3, 3, 7, 25, 11, 113, 19, 289, 507, 1143, 3437, 7965, 12551, 27603, 8423, 46713}},
-{7892, 17, 18482, {1, 1, 3, 9, 13, 1, 73, 9, 425, 407, 363, 2915, 4269, 2903, 9251, 17733, 80321}},
-{7893, 17, 18484, {1, 1, 3, 11, 31, 47, 37, 211, 433, 237, 1069, 1891, 6175, 9305, 30385, 2497, 94775}},
-{7894, 17, 18501, {1, 1, 3, 1, 23, 5, 113, 103, 427, 587, 1863, 1863, 679, 2575, 13059, 16163, 42289}},
-{7895, 17, 18506, {1, 1, 5, 3, 7, 17, 45, 33, 209, 609, 1897, 95, 5123, 2239, 5483, 60715, 126497}},
-{7896, 17, 18516, {1, 1, 5, 11, 1, 55, 67, 223, 41, 967, 337, 2511, 7879, 1157, 17635, 64081, 421}},
-{7897, 17, 18519, {1, 3, 3, 9, 27, 33, 87, 97, 231, 895, 1337, 829, 47, 8481, 14059, 57209, 109159}},
-{7898, 17, 18547, {1, 3, 7, 1, 25, 5, 41, 161, 393, 523, 1623, 3761, 1933, 8319, 17309, 46717, 97299}},
-{7899, 17, 18569, {1, 1, 1, 11, 5, 55, 19, 191, 41, 791, 1611, 59, 2633, 13873, 25859, 42879, 54807}},
-{7900, 17, 18575, {1, 3, 1, 11, 11, 33, 5, 13, 199, 411, 895, 759, 2735, 16225, 31469, 24081, 31857}},
-{7901, 17, 18589, {1, 1, 7, 13, 27, 57, 21, 191, 389, 977, 1013, 3493, 6401, 15957, 23181, 52461, 41853}},
-{7902, 17, 18590, {1, 3, 7, 5, 23, 19, 117, 117, 427, 923, 1347, 3099, 247, 8879, 5309, 53277, 100625}},
-{7903, 17, 18605, {1, 1, 5, 13, 11, 23, 69, 37, 119, 329, 1935, 2851, 5127, 6907, 24651, 11135, 118287}},
-{7904, 17, 18611, {1, 1, 3, 15, 23, 1, 69, 107, 253, 771, 1697, 4035, 3219, 15011, 6995, 19255, 39909}},
-{7905, 17, 18625, {1, 3, 1, 1, 5, 21, 35, 173, 407, 603, 27, 3589, 2879, 2755, 17679, 6145, 95989}},
-{7906, 17, 18652, {1, 1, 5, 13, 31, 23, 61, 139, 341, 593, 1673, 4031, 4809, 1107, 22657, 29073, 53401}},
-{7907, 17, 18665, {1, 3, 1, 15, 13, 37, 39, 61, 443, 417, 1125, 1529, 1943, 7317, 2985, 50285, 107069}},
-{7908, 17, 18673, {1, 1, 3, 9, 5, 51, 87, 91, 31, 491, 1455, 1685, 2579, 6023, 10989, 64635, 130147}},
-{7909, 17, 18674, {1, 3, 5, 5, 31, 23, 15, 163, 357, 161, 1597, 1571, 5039, 13213, 32221, 4405, 88079}},
-{7910, 17, 18683, {1, 1, 1, 15, 13, 43, 7, 109, 243, 389, 683, 2671, 8003, 4187, 6507, 11171, 116727}},
-{7911, 17, 18688, {1, 3, 7, 1, 17, 31, 53, 5, 227, 755, 1755, 2939, 1789, 8951, 16777, 30203, 79005}},
-{7912, 17, 18691, {1, 3, 3, 9, 27, 5, 111, 241, 89, 333, 371, 1035, 5719, 2433, 29343, 50829, 25131}},
-{7913, 17, 18698, {1, 1, 3, 13, 7, 37, 125, 69, 79, 397, 1595, 123, 255, 2257, 10881, 27085, 99411}},
-{7914, 17, 18717, {1, 1, 3, 15, 1, 35, 61, 73, 507, 775, 1631, 2005, 4277, 8421, 5669, 39221, 19053}},
-{7915, 17, 18733, {1, 1, 3, 7, 15, 17, 65, 157, 19, 997, 861, 1249, 4059, 7975, 955, 5833, 97733}},
-{7916, 17, 18754, {1, 1, 5, 5, 21, 43, 1, 181, 1, 17, 1337, 3333, 3761, 12283, 20941, 231, 30457}},
-{7917, 17, 18759, {1, 3, 3, 7, 7, 23, 105, 101, 101, 757, 1407, 565, 2187, 1529, 29385, 22847, 57675}},
-{7918, 17, 18760, {1, 3, 3, 1, 11, 3, 65, 93, 201, 773, 1037, 1325, 673, 6625, 2909, 63435, 114311}},
-{7919, 17, 18771, {1, 3, 5, 1, 21, 43, 87, 37, 491, 323, 1093, 2493, 4755, 7225, 12037, 9483, 70351}},
-{7920, 17, 18777, {1, 1, 7, 9, 23, 39, 59, 117, 103, 645, 1975, 1177, 55, 325, 23781, 64365, 94915}},
-{7921, 17, 18796, {1, 3, 7, 15, 21, 29, 109, 35, 307, 847, 777, 3457, 7899, 17, 24065, 10517, 35651}},
-{7922, 17, 18799, {1, 1, 7, 9, 25, 35, 49, 131, 377, 429, 1773, 2107, 6305, 15209, 9567, 17685, 5599}},
-{7923, 17, 18807, {1, 1, 3, 11, 13, 27, 47, 125, 483, 229, 921, 2733, 2217, 2615, 24135, 28759, 109411}},
-{7924, 17, 18813, {1, 3, 1, 7, 19, 45, 23, 195, 445, 955, 853, 2877, 6889, 9507, 2009, 18747, 50545}},
-{7925, 17, 18817, {1, 1, 1, 5, 15, 35, 75, 177, 145, 683, 309, 893, 4999, 827, 26563, 30819, 111115}},
-{7926, 17, 18820, {1, 3, 3, 11, 5, 45, 49, 39, 93, 653, 1053, 2553, 863, 12185, 30261, 16459, 121061}},
-{7927, 17, 18827, {1, 3, 7, 5, 11, 29, 57, 43, 409, 71, 67, 3537, 263, 13237, 8825, 58411, 44629}},
-{7928, 17, 18829, {1, 1, 5, 13, 1, 37, 23, 171, 13, 309, 239, 2023, 6233, 8751, 11371, 5825, 77355}},
-{7929, 17, 18838, {1, 3, 1, 13, 5, 1, 47, 217, 369, 609, 453, 879, 4337, 4441, 8785, 51963, 53819}},
-{7930, 17, 18842, {1, 3, 5, 5, 23, 1, 67, 147, 27, 121, 1369, 569, 1519, 11585, 18193, 30889, 78055}},
-{7931, 17, 18848, {1, 1, 1, 13, 11, 53, 33, 37, 419, 111, 1649, 2495, 6105, 12385, 30865, 3683, 63813}},
-{7932, 17, 18853, {1, 3, 3, 5, 17, 35, 107, 235, 471, 735, 1093, 1007, 567, 173, 9623, 39533, 56455}},
-{7933, 17, 18885, {1, 1, 7, 15, 27, 13, 123, 211, 407, 857, 801, 3951, 8153, 4427, 15333, 13217, 92675}},
-{7934, 17, 18890, {1, 1, 1, 7, 11, 61, 99, 131, 121, 119, 1483, 1485, 3521, 13163, 24899, 56849, 111943}},
-{7935, 17, 18898, {1, 3, 3, 1, 19, 1, 29, 139, 127, 557, 1913, 1487, 1381, 185, 11195, 52499, 45059}},
-{7936, 17, 18903, {1, 3, 7, 11, 5, 29, 95, 111, 235, 55, 1101, 2631, 1219, 9867, 22209, 3095, 56793}},
-{7937, 17, 18910, {1, 3, 7, 1, 31, 61, 37, 125, 241, 985, 1079, 1439, 433, 2779, 8463, 59985, 39667}},
-{7938, 17, 18913, {1, 3, 7, 15, 5, 7, 71, 7, 435, 727, 1611, 135, 1421, 8329, 29995, 64243, 58285}},
-{7939, 17, 18931, {1, 3, 3, 15, 27, 11, 121, 27, 281, 499, 267, 2651, 7575, 9499, 5051, 49475, 79573}},
-{7940, 17, 18934, {1, 3, 3, 15, 29, 47, 11, 183, 235, 537, 79, 2467, 3751, 831, 6725, 52173, 108645}},
-{7941, 17, 18956, {1, 3, 5, 13, 23, 31, 23, 19, 477, 511, 727, 183, 5955, 7613, 31979, 8441, 39835}},
-{7942, 17, 18961, {1, 1, 5, 7, 17, 31, 53, 133, 387, 787, 1573, 89, 1975, 1825, 19963, 27203, 124923}},
-{7943, 17, 18968, {1, 1, 1, 9, 3, 15, 125, 135, 89, 37, 517, 3931, 2013, 2143, 25413, 18421, 6097}},
-{7944, 17, 18978, {1, 1, 3, 11, 23, 29, 89, 45, 53, 135, 223, 3523, 7921, 3271, 1819, 40931, 65471}},
-{7945, 17, 18983, {1, 1, 1, 13, 17, 3, 121, 25, 509, 61, 1009, 2009, 7813, 8499, 5807, 63171, 75991}},
-{7946, 17, 18987, {1, 3, 5, 13, 15, 35, 37, 45, 161, 683, 1665, 59, 6297, 9595, 10193, 46745, 105411}},
-{7947, 17, 18992, {1, 3, 1, 7, 21, 19, 85, 107, 3, 845, 673, 1271, 7581, 15971, 27085, 35375, 29027}},
-{7948, 17, 18997, {1, 3, 3, 9, 5, 17, 79, 137, 123, 809, 583, 3507, 7559, 2857, 13911, 57083, 8595}},
-{7949, 17, 19002, {1, 1, 7, 5, 31, 29, 77, 33, 439, 787, 1223, 2471, 5851, 15891, 27925, 51661, 82645}},
-{7950, 17, 19004, {1, 1, 7, 15, 19, 35, 35, 37, 197, 245, 799, 3971, 277, 11289, 20111, 13857, 104571}},
-{7951, 17, 19010, {1, 3, 5, 15, 19, 3, 65, 17, 201, 1007, 1665, 107, 2409, 1469, 23265, 24547, 8189}},
-{7952, 17, 19012, {1, 3, 1, 13, 29, 45, 109, 243, 43, 383, 631, 265, 6671, 15333, 21931, 30675, 103077}},
-{7953, 17, 19030, {1, 1, 5, 1, 25, 25, 77, 189, 109, 777, 1485, 2265, 1403, 2627, 13843, 27263, 14263}},
-{7954, 17, 19043, {1, 3, 5, 1, 13, 49, 73, 107, 225, 243, 1253, 3503, 735, 2605, 27165, 45467, 93001}},
-{7955, 17, 19049, {1, 1, 5, 9, 15, 17, 1, 33, 69, 321, 1375, 3635, 8131, 6579, 1225, 38699, 17447}},
-{7956, 17, 19079, {1, 3, 5, 3, 25, 49, 15, 149, 483, 37, 1929, 1219, 5841, 11975, 805, 31339, 130971}},
-{7957, 17, 19086, {1, 3, 3, 3, 15, 29, 3, 143, 291, 593, 1769, 3603, 1693, 151, 27701, 9015, 25847}},
-{7958, 17, 19100, {1, 3, 1, 11, 5, 35, 55, 127, 137, 71, 967, 2501, 1023, 2061, 31387, 44011, 130121}},
-{7959, 17, 19103, {1, 1, 7, 1, 29, 13, 93, 41, 125, 263, 521, 2633, 4361, 12153, 30647, 55883, 65185}},
-{7960, 17, 19107, {1, 3, 7, 9, 23, 19, 61, 197, 139, 463, 1867, 3627, 5185, 8251, 26977, 48027, 66301}},
-{7961, 17, 19109, {1, 3, 3, 7, 27, 53, 25, 137, 175, 155, 1843, 2253, 4797, 4989, 32613, 55779, 91625}},
-{7962, 17, 19113, {1, 3, 3, 11, 1, 5, 21, 233, 295, 675, 47, 2995, 8075, 8201, 3845, 23925, 82559}},
-{7963, 17, 19116, {1, 1, 3, 7, 31, 53, 93, 21, 307, 709, 9, 3061, 3935, 11009, 13411, 3657, 30251}},
-{7964, 17, 19127, {1, 3, 7, 13, 13, 25, 51, 205, 391, 897, 275, 333, 6831, 9383, 16101, 14301, 99101}},
-{7965, 17, 19134, {1, 1, 5, 15, 17, 47, 119, 7, 189, 765, 753, 2909, 3373, 2379, 20331, 61535, 51345}},
-{7966, 17, 19141, {1, 1, 3, 1, 27, 43, 9, 185, 9, 197, 1179, 67, 7689, 9679, 29683, 29905, 29393}},
-{7967, 17, 19179, {1, 1, 5, 5, 31, 55, 69, 9, 477, 91, 1705, 1877, 5463, 15401, 13449, 27541, 125521}},
-{7968, 17, 19193, {1, 1, 7, 15, 15, 33, 11, 233, 69, 771, 845, 2715, 5293, 10351, 19557, 15319, 36857}},
-{7969, 17, 19194, {1, 3, 7, 7, 15, 9, 123, 47, 165, 739, 361, 1675, 2743, 8021, 10241, 48275, 51935}},
-{7970, 17, 19201, {1, 1, 5, 1, 9, 25, 99, 83, 487, 627, 343, 3233, 6697, 13197, 19771, 38337, 89139}},
-{7971, 17, 19208, {1, 3, 7, 13, 1, 31, 15, 63, 463, 621, 935, 1093, 6043, 14051, 13665, 43413, 104893}},
-{7972, 17, 19214, {1, 1, 1, 3, 27, 1, 47, 151, 127, 357, 689, 3263, 141, 4459, 9847, 205, 88493}},
-{7973, 17, 19225, {1, 3, 7, 15, 29, 13, 41, 113, 495, 421, 195, 197, 6857, 10555, 22861, 30229, 31707}},
-{7974, 17, 19226, {1, 3, 5, 11, 11, 1, 89, 227, 425, 623, 1605, 1901, 7933, 7211, 16301, 3403, 59651}},
-{7975, 17, 19235, {1, 1, 3, 3, 27, 41, 37, 89, 395, 903, 1641, 2739, 5599, 11371, 8683, 61125, 105231}},
-{7976, 17, 19242, {1, 3, 7, 9, 1, 17, 51, 233, 507, 783, 459, 1187, 7281, 15809, 27637, 6067, 125877}},
-{7977, 17, 19264, {1, 3, 1, 3, 13, 57, 5, 199, 261, 357, 1255, 1849, 8013, 10313, 9375, 1271, 64117}},
-{7978, 17, 19267, {1, 3, 1, 11, 9, 59, 55, 95, 401, 423, 1657, 513, 3565, 12957, 19243, 53027, 11323}},
-{7979, 17, 19293, {1, 3, 7, 13, 27, 35, 121, 215, 397, 991, 191, 3443, 3829, 6107, 5381, 48497, 107997}},
-{7980, 17, 19309, {1, 1, 5, 5, 19, 15, 21, 53, 165, 835, 1599, 3245, 5609, 5991, 18141, 28075, 102809}},
-{7981, 17, 19318, {1, 3, 5, 9, 25, 21, 71, 15, 453, 475, 915, 3097, 5869, 699, 13883, 34919, 127211}},
-{7982, 17, 19324, {1, 1, 3, 7, 21, 53, 27, 207, 373, 703, 593, 17, 6991, 15013, 10125, 34801, 129245}},
-{7983, 17, 19337, {1, 3, 3, 13, 17, 9, 89, 95, 291, 681, 1415, 2323, 2885, 11381, 7703, 3691, 51505}},
-{7984, 17, 19340, {1, 1, 1, 11, 15, 63, 55, 153, 373, 665, 983, 3987, 5997, 6873, 27031, 65449, 22021}},
-{7985, 17, 19345, {1, 1, 5, 5, 1, 55, 119, 61, 159, 889, 225, 709, 1879, 2521, 69, 7815, 18733}},
-{7986, 17, 19346, {1, 3, 5, 11, 23, 53, 23, 61, 71, 993, 633, 1829, 3465, 12465, 30205, 40723, 74499}},
-{7987, 17, 19352, {1, 3, 3, 1, 17, 37, 19, 43, 55, 133, 1171, 3101, 3963, 5177, 24791, 7255, 10263}},
-{7988, 17, 19364, {1, 3, 7, 1, 21, 13, 21, 87, 237, 629, 1167, 3699, 597, 6251, 11545, 34429, 104393}},
-{7989, 17, 19382, {1, 1, 7, 1, 11, 53, 105, 111, 463, 869, 549, 2423, 17, 917, 879, 49367, 72235}},
-{7990, 17, 19391, {1, 1, 5, 15, 17, 51, 69, 55, 309, 867, 257, 573, 4821, 5245, 28033, 61801, 18253}},
-{7991, 17, 19405, {1, 1, 5, 3, 1, 23, 103, 241, 13, 267, 21, 1751, 6637, 12537, 26741, 40651, 94493}},
-{7992, 17, 19411, {1, 3, 3, 13, 25, 35, 21, 83, 337, 363, 1111, 1865, 7889, 985, 465, 40287, 64469}},
-{7993, 17, 19439, {1, 1, 7, 5, 27, 1, 99, 95, 209, 211, 1445, 1577, 6097, 13813, 22463, 64395, 106383}},
-{7994, 17, 19442, {1, 3, 1, 15, 1, 45, 77, 247, 273, 1023, 1377, 1989, 5787, 15267, 24363, 42717, 125617}},
-{7995, 17, 19444, {1, 1, 1, 3, 9, 49, 79, 171, 427, 439, 1725, 3179, 6263, 12437, 31353, 22077, 94455}},
-{7996, 17, 19451, {1, 3, 5, 11, 11, 45, 57, 97, 409, 935, 967, 2509, 3431, 5707, 19473, 15853, 129059}},
-{7997, 17, 19465, {1, 1, 7, 5, 7, 21, 105, 29, 359, 145, 1691, 131, 6721, 10971, 16173, 38193, 37091}},
-{7998, 17, 19471, {1, 1, 1, 15, 15, 35, 5, 185, 455, 507, 681, 3355, 2091, 3437, 27231, 28527, 5383}},
-{7999, 17, 19474, {1, 3, 5, 3, 7, 29, 33, 127, 57, 495, 1069, 3635, 7461, 9861, 18757, 39039, 92421}},
-{8000, 17, 19476, {1, 3, 5, 5, 11, 31, 51, 59, 413, 417, 1577, 2837, 5229, 4501, 18645, 37613, 31325}},
-{8001, 17, 19479, {1, 1, 5, 13, 15, 61, 17, 247, 413, 817, 907, 2249, 3901, 11275, 7469, 33403, 30629}},
-{8002, 17, 19485, {1, 3, 5, 7, 31, 7, 109, 177, 277, 75, 449, 3029, 7135, 427, 26641, 43157, 47671}},
-{8003, 17, 19489, {1, 3, 7, 13, 29, 63, 21, 187, 471, 289, 835, 3885, 6111, 8721, 9841, 24017, 18673}},
-{8004, 17, 19496, {1, 1, 5, 13, 25, 37, 15, 35, 227, 623, 47, 189, 3443, 1911, 8579, 50911, 10895}},
-{8005, 17, 19507, {1, 3, 1, 1, 29, 53, 89, 101, 251, 203, 821, 2485, 633, 7943, 27563, 58735, 72057}},
-{8006, 17, 19513, {1, 3, 7, 9, 23, 61, 121, 199, 19, 165, 131, 1373, 637, 7307, 7109, 42475, 126669}},
-{8007, 17, 19514, {1, 3, 7, 13, 7, 5, 125, 173, 365, 65, 565, 751, 3343, 13421, 6177, 39095, 97375}},
-{8008, 17, 19521, {1, 1, 7, 3, 1, 59, 65, 39, 307, 793, 887, 3291, 3405, 4497, 19351, 1821, 67861}},
-{8009, 17, 19524, {1, 1, 1, 3, 19, 9, 101, 183, 163, 819, 769, 49, 5293, 3715, 4055, 32403, 90763}},
-{8010, 17, 19546, {1, 3, 3, 1, 27, 31, 21, 123, 457, 1021, 1791, 2217, 6171, 11445, 15605, 59945, 19663}},
-{8011, 17, 19552, {1, 1, 1, 9, 13, 53, 61, 201, 457, 111, 1217, 377, 5871, 4591, 16379, 42817, 129807}},
-{8012, 17, 19555, {1, 3, 1, 5, 23, 37, 25, 7, 125, 651, 349, 3727, 1487, 5103, 31407, 40215, 16065}},
-{8013, 17, 19557, {1, 1, 3, 11, 19, 29, 1, 193, 13, 287, 331, 985, 5391, 7307, 28075, 9939, 84999}},
-{8014, 17, 19575, {1, 1, 1, 11, 21, 37, 117, 241, 229, 957, 2019, 819, 459, 6185, 21533, 64725, 24709}},
-{8015, 17, 19579, {1, 3, 5, 13, 11, 25, 107, 245, 175, 519, 629, 537, 2227, 15123, 10619, 32611, 118697}},
-{8016, 17, 19591, {1, 3, 1, 11, 5, 53, 119, 253, 489, 181, 1365, 3465, 1323, 949, 3657, 2467, 38545}},
-{8017, 17, 19595, {1, 1, 3, 9, 27, 17, 109, 19, 297, 541, 89, 3021, 761, 5577, 907, 21405, 128029}},
-{8018, 17, 19605, {1, 1, 3, 9, 31, 9, 61, 149, 267, 707, 671, 2733, 1247, 14623, 6395, 42579, 30845}},
-{8019, 17, 19615, {1, 1, 7, 7, 25, 29, 63, 41, 309, 275, 2019, 1373, 1003, 13891, 16571, 16209, 30115}},
-{8020, 17, 19616, {1, 3, 7, 1, 5, 21, 53, 97, 475, 799, 1963, 1181, 4187, 8767, 24779, 10403, 98349}},
-{8021, 17, 19626, {1, 3, 3, 13, 19, 9, 125, 227, 347, 535, 353, 3087, 769, 9049, 20145, 27433, 23105}},
-{8022, 17, 19631, {1, 1, 1, 15, 7, 61, 51, 113, 403, 501, 1767, 2785, 7151, 14517, 17533, 24913, 7121}},
-{8023, 17, 19634, {1, 1, 1, 9, 7, 21, 27, 169, 425, 567, 31, 35, 7859, 929, 6545, 33983, 13227}},
-{8024, 17, 19640, {1, 1, 5, 15, 11, 15, 69, 33, 127, 1005, 1947, 989, 6333, 15587, 18523, 53547, 115613}},
-{8025, 17, 19645, {1, 3, 5, 3, 1, 55, 7, 99, 213, 737, 363, 3167, 3949, 3723, 15777, 23207, 22901}},
-{8026, 17, 19678, {1, 1, 1, 9, 9, 29, 121, 85, 467, 811, 1, 3543, 6259, 4477, 31371, 27633, 22995}},
-{8027, 17, 19681, {1, 3, 5, 3, 11, 21, 95, 19, 55, 71, 803, 3655, 3749, 5113, 13611, 38097, 20943}},
-{8028, 17, 19682, {1, 3, 3, 11, 19, 25, 127, 105, 447, 499, 485, 881, 2649, 10297, 22283, 18305, 128919}},
-{8029, 17, 19706, {1, 3, 7, 1, 11, 45, 21, 87, 481, 645, 815, 793, 5763, 3945, 14379, 19623, 103199}},
-{8030, 17, 19708, {1, 3, 5, 1, 3, 45, 39, 229, 359, 151, 1079, 3955, 2107, 9593, 6701, 2811, 55215}},
-{8031, 17, 19713, {1, 3, 7, 7, 27, 59, 69, 211, 373, 643, 977, 3545, 2647, 10473, 27919, 10719, 24823}},
-{8032, 17, 19714, {1, 1, 3, 11, 7, 27, 117, 21, 59, 679, 969, 3813, 2701, 7363, 17525, 31229, 100665}},
-{8033, 17, 19720, {1, 3, 3, 5, 29, 53, 113, 141, 197, 991, 81, 2701, 6831, 7949, 16569, 44185, 29631}},
-{8034, 17, 19725, {1, 1, 1, 3, 1, 31, 9, 101, 347, 585, 577, 2529, 7461, 11921, 29475, 34505, 74911}},
-{8035, 17, 19743, {1, 1, 1, 15, 25, 19, 95, 37, 93, 755, 1891, 2309, 623, 13503, 5811, 45863, 106501}},
-{8036, 17, 19753, {1, 1, 5, 3, 15, 23, 51, 225, 87, 679, 1225, 4015, 3971, 163, 3185, 12921, 51267}},
-{8037, 17, 19756, {1, 1, 5, 1, 1, 37, 105, 181, 379, 657, 571, 2775, 5905, 8391, 32069, 18713, 125833}},
-{8038, 17, 19759, {1, 1, 7, 11, 11, 19, 109, 125, 371, 321, 629, 2165, 2861, 7883, 15503, 37679, 33057}},
-{8039, 17, 19762, {1, 1, 3, 5, 7, 5, 21, 5, 169, 321, 1145, 2243, 6143, 2537, 4429, 56493, 39391}},
-{8040, 17, 19776, {1, 3, 5, 5, 31, 7, 15, 175, 441, 663, 921, 3113, 2261, 13033, 19135, 28657, 92225}},
-{8041, 17, 19786, {1, 3, 1, 11, 13, 9, 25, 57, 297, 3, 1561, 825, 2803, 11327, 2699, 28631, 57277}},
-{8042, 17, 19799, {1, 1, 3, 9, 15, 25, 81, 197, 345, 341, 1557, 1375, 2509, 11949, 30201, 6807, 95199}},
-{8043, 17, 19800, {1, 3, 5, 3, 15, 23, 91, 147, 277, 59, 495, 1423, 1775, 12065, 8401, 22639, 111199}},
-{8044, 17, 19803, {1, 1, 5, 1, 1, 59, 35, 255, 229, 293, 187, 2663, 3967, 6493, 20103, 36703, 108939}},
-{8045, 17, 19806, {1, 3, 7, 11, 15, 1, 23, 39, 27, 281, 11, 3119, 2791, 1691, 16521, 39715, 32145}},
-{8046, 17, 19815, {1, 3, 5, 5, 9, 53, 43, 49, 107, 1015, 431, 3017, 3317, 9655, 19193, 45621, 56861}},
-{8047, 17, 19816, {1, 3, 1, 15, 27, 63, 127, 31, 21, 245, 1503, 3339, 6375, 5411, 12369, 35973, 9473}},
-{8048, 17, 19857, {1, 1, 3, 13, 31, 61, 19, 99, 25, 593, 539, 1807, 673, 12339, 23567, 22005, 130341}},
-{8049, 17, 19860, {1, 1, 5, 3, 3, 3, 13, 183, 255, 41, 641, 581, 6509, 1891, 19195, 28277, 51725}},
-{8050, 17, 19874, {1, 1, 3, 5, 3, 59, 17, 227, 9, 345, 1303, 1535, 3089, 2653, 20647, 63159, 124677}},
-{8051, 17, 19883, {1, 3, 1, 11, 25, 19, 117, 29, 221, 461, 1285, 1427, 7183, 3051, 10839, 47491, 92613}},
-{8052, 17, 19885, {1, 1, 3, 5, 27, 19, 1, 235, 51, 215, 783, 2325, 1191, 4679, 14365, 35479, 65083}},
-{8053, 17, 19886, {1, 3, 3, 5, 27, 17, 79, 185, 259, 369, 1399, 1029, 2219, 10975, 30487, 15247, 39789}},
-{8054, 17, 19893, {1, 3, 3, 1, 13, 13, 59, 119, 249, 471, 1433, 1165, 5345, 4431, 375, 64999, 85577}},
-{8055, 17, 19932, {1, 1, 1, 3, 1, 19, 13, 243, 35, 675, 321, 3625, 7835, 6403, 651, 48283, 91819}},
-{8056, 17, 19960, {1, 3, 3, 1, 27, 13, 73, 159, 145, 59, 287, 2419, 8115, 7923, 18933, 36109, 123879}},
-{8057, 17, 19972, {1, 3, 1, 7, 21, 1, 83, 245, 477, 623, 391, 129, 6897, 3447, 11109, 17017, 68277}},
-{8058, 17, 19975, {1, 1, 3, 11, 13, 43, 119, 93, 99, 393, 1219, 995, 1881, 7929, 4337, 33579, 103211}},
-{8059, 17, 20005, {1, 1, 7, 7, 31, 5, 39, 25, 119, 819, 409, 2395, 151, 12763, 28265, 28909, 35685}},
-{8060, 17, 20009, {1, 1, 1, 1, 3, 13, 59, 205, 19, 843, 1691, 955, 1859, 1791, 22083, 37843, 63615}},
-{8061, 17, 20010, {1, 1, 1, 3, 11, 63, 41, 243, 103, 875, 1337, 3731, 6317, 12951, 31743, 56935, 55975}},
-{8062, 17, 20012, {1, 1, 3, 13, 19, 11, 51, 97, 469, 279, 1621, 3521, 853, 11849, 3331, 27907, 119081}},
-{8063, 17, 20023, {1, 1, 5, 1, 23, 55, 9, 141, 449, 41, 167, 2441, 6783, 2785, 3547, 35379, 74973}},
-{8064, 17, 20024, {1, 1, 5, 3, 15, 55, 13, 75, 107, 153, 1841, 3991, 3229, 6523, 18541, 21571, 31539}},
-{8065, 17, 20030, {1, 3, 1, 1, 27, 37, 35, 201, 401, 867, 1861, 1783, 6255, 14001, 29543, 25843, 39719}},
-{8066, 17, 20038, {1, 1, 7, 15, 3, 43, 113, 173, 297, 457, 1369, 4053, 5033, 5513, 27387, 14725, 79937}},
-{8067, 17, 20041, {1, 1, 5, 13, 5, 27, 109, 93, 187, 833, 1551, 2899, 1681, 6979, 1289, 3507, 66499}},
-{8068, 17, 20055, {1, 1, 3, 11, 11, 47, 121, 29, 129, 807, 2037, 1527, 6083, 14803, 10669, 46047, 70241}},
-{8069, 17, 20059, {1, 3, 1, 9, 29, 3, 19, 191, 461, 527, 1389, 3359, 81, 6773, 12185, 49207, 19091}},
-{8070, 17, 20061, {1, 3, 7, 7, 5, 47, 33, 27, 445, 1, 149, 343, 4827, 91, 29233, 37775, 89321}},
-{8071, 17, 20080, {1, 3, 5, 1, 13, 55, 107, 99, 259, 591, 983, 3863, 1231, 3457, 29645, 10709, 16543}},
-{8072, 17, 20086, {1, 3, 7, 9, 29, 5, 9, 165, 337, 187, 219, 97, 6511, 193, 23947, 36329, 35317}},
-{8073, 17, 20089, {1, 3, 7, 1, 31, 25, 5, 175, 409, 1021, 1873, 289, 7143, 15341, 31501, 25707, 106453}},
-{8074, 17, 20095, {1, 3, 7, 7, 27, 1, 15, 221, 341, 987, 1739, 1183, 8139, 11081, 29721, 42991, 72805}},
-{8075, 17, 20111, {1, 1, 1, 9, 11, 1, 13, 17, 501, 543, 1485, 987, 1861, 8527, 1621, 30461, 23057}},
-{8076, 17, 20116, {1, 3, 7, 7, 9, 41, 1, 253, 71, 1009, 427, 3347, 6987, 3303, 30535, 33345, 126459}},
-{8077, 17, 20130, {1, 1, 1, 7, 11, 11, 15, 11, 305, 559, 1805, 1111, 377, 1495, 13471, 34831, 123125}},
-{8078, 17, 20136, {1, 1, 5, 7, 9, 37, 27, 45, 61, 705, 263, 3181, 7077, 5227, 28121, 42865, 3809}},
-{8079, 17, 20147, {1, 1, 5, 1, 23, 25, 29, 199, 259, 959, 661, 43, 6157, 1547, 1497, 24077, 129939}},
-{8080, 17, 20153, {1, 3, 5, 3, 13, 49, 33, 19, 367, 891, 1777, 3119, 5673, 8383, 14487, 1763, 63495}},
-{8081, 17, 20156, {1, 1, 1, 13, 9, 57, 35, 181, 7, 225, 449, 3843, 6257, 4983, 31307, 16559, 27633}},
-{8082, 17, 20167, {1, 3, 1, 11, 7, 33, 55, 81, 41, 61, 1711, 3273, 7629, 11283, 9103, 24105, 107547}},
-{8083, 17, 20173, {1, 3, 5, 5, 13, 17, 13, 51, 235, 869, 1543, 1249, 7749, 14773, 21751, 53497, 108709}},
-{8084, 17, 20182, {1, 1, 3, 9, 3, 63, 89, 43, 23, 479, 115, 3917, 7943, 7323, 5659, 64507, 46941}},
-{8085, 17, 20185, {1, 1, 3, 1, 25, 63, 25, 169, 459, 633, 1785, 1059, 5113, 4799, 29281, 24561, 17017}},
-{8086, 17, 20202, {1, 1, 3, 3, 15, 3, 11, 173, 493, 5, 1575, 653, 7391, 7453, 8297, 28653, 6213}},
-{8087, 17, 20209, {1, 1, 7, 5, 29, 5, 1, 57, 75, 479, 787, 3417, 3349, 111, 17787, 41141, 97597}},
-{8088, 17, 20229, {1, 3, 7, 1, 11, 7, 107, 159, 435, 159, 1401, 803, 7065, 5923, 4005, 37271, 113791}},
-{8089, 17, 20233, {1, 1, 5, 1, 23, 55, 7, 59, 351, 801, 1279, 3231, 4561, 2857, 20563, 46115, 79489}},
-{8090, 17, 20236, {1, 3, 3, 15, 19, 13, 113, 33, 149, 175, 1127, 3815, 4357, 12645, 4449, 61355, 83023}},
-{8091, 17, 20241, {1, 1, 7, 15, 3, 17, 41, 57, 243, 319, 1631, 2751, 7853, 5977, 28367, 20023, 56049}},
-{8092, 17, 20242, {1, 3, 1, 7, 27, 59, 7, 13, 497, 241, 1827, 2861, 1331, 1759, 6037, 18967, 42849}},
-{8093, 17, 20248, {1, 3, 1, 1, 31, 43, 41, 183, 241, 219, 335, 2331, 755, 10589, 29431, 29007, 66667}},
-{8094, 17, 20278, {1, 1, 3, 1, 27, 37, 61, 117, 471, 39, 139, 3821, 2945, 7035, 23673, 20167, 56169}},
-{8095, 17, 20282, {1, 3, 1, 1, 9, 29, 123, 61, 171, 1015, 1029, 1695, 1039, 11883, 259, 10879, 97709}},
-{8096, 17, 20299, {1, 3, 3, 5, 29, 39, 65, 193, 285, 635, 999, 717, 5465, 1849, 4293, 19775, 79121}},
-{8097, 17, 20307, {1, 1, 7, 1, 3, 3, 103, 15, 451, 307, 1027, 263, 6585, 11651, 14457, 62695, 38407}},
-{8098, 17, 20313, {1, 3, 7, 11, 13, 13, 29, 83, 267, 561, 2041, 13, 3167, 3475, 14735, 34455, 117533}},
-{8099, 17, 20314, {1, 3, 1, 15, 5, 1, 35, 225, 151, 637, 1347, 833, 7077, 13145, 10285, 46583, 14351}},
-{8100, 17, 20320, {1, 1, 3, 15, 27, 63, 119, 159, 209, 421, 1413, 2727, 1607, 7175, 6133, 29051, 97387}},
-{8101, 17, 20326, {1, 1, 3, 5, 9, 29, 35, 93, 353, 903, 1037, 469, 5473, 7193, 21883, 14709, 89023}},
-{8102, 17, 20332, {1, 1, 1, 11, 9, 17, 51, 155, 145, 443, 1985, 423, 4721, 15721, 9747, 10303, 21909}},
-{8103, 17, 20350, {1, 3, 7, 15, 19, 49, 53, 153, 241, 739, 1585, 3945, 4869, 11, 15845, 17937, 69397}},
-{8104, 17, 20360, {1, 1, 5, 7, 19, 53, 43, 211, 327, 723, 1513, 1569, 919, 1771, 11309, 50787, 7459}},
-{8105, 17, 20371, {1, 1, 1, 9, 7, 29, 49, 89, 409, 685, 201, 1327, 2807, 13101, 2485, 62909, 102595}},
-{8106, 17, 20373, {1, 3, 1, 13, 21, 51, 37, 231, 271, 475, 855, 3703, 4447, 5161, 17937, 14471, 47173}},
-{8107, 17, 20377, {1, 1, 7, 3, 9, 7, 121, 197, 71, 147, 1669, 1745, 6589, 15029, 1529, 12625, 121925}},
-{8108, 17, 20390, {1, 1, 1, 3, 7, 47, 63, 61, 187, 341, 919, 307, 389, 14141, 12941, 17917, 104289}},
-{8109, 17, 20396, {1, 3, 5, 13, 19, 43, 57, 11, 383, 311, 1229, 3527, 3301, 12473, 24377, 16279, 92733}},
-{8110, 17, 20404, {1, 3, 3, 5, 25, 35, 63, 23, 131, 481, 809, 3627, 5685, 13695, 14121, 64751, 66181}},
-{8111, 17, 20413, {1, 3, 1, 5, 11, 43, 89, 55, 103, 219, 1861, 3223, 5111, 5879, 31399, 1395, 87419}},
-{8112, 17, 20434, {1, 3, 1, 11, 21, 27, 123, 205, 47, 923, 7, 1635, 4019, 8431, 28313, 24275, 129617}},
-{8113, 17, 20436, {1, 1, 1, 3, 1, 11, 91, 215, 393, 999, 1071, 3225, 4415, 759, 24499, 16109, 33791}},
-{8114, 17, 20440, {1, 1, 3, 13, 19, 45, 77, 103, 105, 395, 529, 3631, 8179, 4467, 30263, 39379, 70507}},
-{8115, 17, 20443, {1, 3, 3, 9, 17, 45, 101, 219, 433, 971, 471, 1243, 6955, 5941, 20641, 16119, 129383}},
-{8116, 17, 20445, {1, 1, 7, 7, 9, 9, 91, 95, 503, 171, 129, 1509, 7179, 5367, 2219, 50445, 112459}},
-{8117, 17, 20464, {1, 3, 7, 1, 17, 17, 19, 173, 229, 519, 147, 1835, 3797, 8091, 20335, 33177, 90197}},
-{8118, 17, 20476, {1, 3, 3, 5, 23, 29, 107, 205, 43, 969, 799, 1239, 1353, 5221, 15175, 42945, 34043}},
-{8119, 17, 20494, {1, 1, 5, 7, 31, 63, 67, 87, 189, 301, 1719, 3937, 965, 2505, 24781, 25133, 91675}},
-{8120, 17, 20496, {1, 3, 1, 7, 15, 25, 11, 39, 281, 35, 1149, 1445, 6451, 12069, 20959, 29895, 60059}},
-{8121, 17, 20501, {1, 1, 5, 1, 1, 17, 65, 213, 359, 561, 2015, 1629, 3521, 6877, 8099, 62483, 103903}},
-{8122, 17, 20518, {1, 1, 7, 9, 7, 49, 1, 227, 49, 823, 1141, 2419, 2697, 13293, 14143, 6323, 16081}},
-{8123, 17, 20527, {1, 3, 3, 1, 9, 13, 99, 235, 343, 601, 927, 183, 4545, 14529, 5521, 55571, 90675}},
-{8124, 17, 20529, {1, 1, 5, 1, 13, 49, 95, 153, 131, 955, 283, 2951, 3651, 7743, 4285, 42621, 110577}},
-{8125, 17, 20535, {1, 1, 1, 9, 19, 59, 97, 181, 67, 357, 497, 287, 3523, 3729, 28981, 59687, 39463}},
-{8126, 17, 20544, {1, 1, 3, 7, 5, 19, 107, 55, 393, 225, 1953, 669, 8063, 6537, 15983, 59891, 95079}},
-{8127, 17, 20568, {1, 3, 1, 5, 29, 21, 17, 169, 447, 697, 1613, 3483, 3139, 11175, 28865, 12065, 130241}},
-{8128, 17, 20589, {1, 3, 5, 7, 5, 49, 35, 181, 85, 505, 1537, 1345, 773, 3255, 27405, 3959, 126377}},
-{8129, 17, 20592, {1, 1, 7, 15, 9, 9, 17, 99, 409, 319, 807, 1721, 4023, 2171, 32657, 51663, 23253}},
-{8130, 17, 20601, {1, 3, 5, 1, 5, 3, 37, 219, 89, 263, 397, 573, 6147, 9525, 2521, 11153, 94319}},
-{8131, 17, 20617, {1, 1, 5, 5, 11, 39, 55, 205, 209, 239, 1443, 2477, 1941, 8337, 2883, 54593, 129859}},
-{8132, 17, 20625, {1, 1, 1, 7, 11, 13, 127, 65, 127, 413, 1553, 413, 3395, 9451, 7517, 34103, 57029}},
-{8133, 17, 20626, {1, 1, 1, 15, 5, 25, 109, 181, 399, 1023, 277, 3365, 6209, 827, 13933, 27483, 63835}},
-{8134, 17, 20632, {1, 1, 3, 3, 21, 57, 95, 127, 481, 365, 197, 3631, 7443, 4925, 31277, 35061, 35875}},
-{8135, 17, 20638, {1, 1, 7, 13, 3, 31, 59, 127, 441, 967, 1049, 1281, 3553, 375, 9683, 45755, 18889}},
-{8136, 17, 20644, {1, 1, 1, 13, 11, 39, 49, 43, 383, 607, 157, 1887, 3623, 13335, 31949, 49843, 96781}},
-{8137, 17, 20647, {1, 3, 7, 13, 19, 35, 21, 9, 299, 425, 1921, 3481, 6849, 4149, 5227, 56737, 27559}},
-{8138, 17, 20662, {1, 3, 7, 5, 21, 11, 79, 97, 1, 849, 819, 1133, 3393, 5429, 10621, 38787, 120785}},
-{8139, 17, 20671, {1, 1, 1, 13, 21, 29, 3, 239, 399, 619, 759, 2655, 3691, 655, 30979, 15507, 114791}},
-{8140, 17, 20674, {1, 3, 5, 3, 1, 61, 79, 43, 273, 965, 1759, 3901, 2437, 1703, 20205, 46291, 23679}},
-{8141, 17, 20683, {1, 1, 1, 9, 19, 57, 75, 245, 377, 261, 231, 3683, 6745, 7797, 28471, 56269, 109969}},
-{8142, 17, 20704, {1, 3, 1, 11, 9, 55, 53, 87, 33, 431, 1805, 2933, 455, 12479, 16235, 2667, 70105}},
-{8143, 17, 20724, {1, 3, 5, 1, 29, 1, 101, 17, 377, 499, 1365, 209, 4819, 15099, 8769, 37003, 53003}},
-{8144, 17, 20742, {1, 3, 5, 11, 11, 39, 109, 235, 337, 393, 35, 1071, 7085, 7165, 25143, 24223, 71493}},
-{8145, 17, 20748, {1, 3, 1, 5, 13, 49, 9, 205, 305, 943, 799, 2405, 319, 10755, 9785, 32023, 48015}},
-{8146, 17, 20765, {1, 3, 1, 9, 29, 35, 123, 101, 73, 747, 1257, 407, 5871, 4271, 14837, 52727, 13339}},
-{8147, 17, 20776, {1, 3, 3, 9, 31, 7, 113, 27, 89, 123, 1117, 531, 5531, 7897, 11209, 35267, 123457}},
-{8148, 17, 20789, {1, 1, 1, 1, 29, 19, 93, 11, 61, 743, 267, 13, 6561, 7667, 20537, 12675, 10481}},
-{8149, 17, 20796, {1, 1, 5, 13, 27, 47, 103, 171, 349, 139, 1709, 961, 783, 7147, 5569, 53395, 80797}},
-{8150, 17, 20802, {1, 3, 1, 9, 21, 49, 41, 175, 507, 861, 1157, 1033, 6795, 5795, 603, 12485, 75263}},
-{8151, 17, 20807, {1, 1, 5, 7, 23, 3, 21, 165, 123, 951, 785, 2065, 8001, 7009, 22981, 10011, 9807}},
-{8152, 17, 20814, {1, 3, 7, 15, 1, 53, 49, 197, 231, 351, 141, 3465, 7907, 10695, 30913, 26753, 71079}},
-{8153, 17, 20821, {1, 3, 5, 3, 29, 45, 23, 131, 65, 507, 75, 275, 7287, 187, 1093, 52657, 31533}},
-{8154, 17, 20832, {1, 3, 5, 9, 9, 7, 113, 125, 441, 75, 663, 4081, 3147, 1469, 28375, 35747, 122965}},
-{8155, 17, 20835, {1, 1, 7, 3, 3, 57, 5, 17, 183, 237, 965, 3709, 4161, 9513, 217, 58835, 78789}},
-{8156, 17, 20847, {1, 1, 3, 1, 7, 25, 13, 29, 173, 319, 1723, 57, 2401, 10405, 15541, 52915, 93747}},
-{8157, 17, 20859, {1, 1, 7, 5, 1, 31, 11, 61, 341, 97, 1199, 2585, 5909, 3707, 31507, 51233, 2389}},
-{8158, 17, 20871, {1, 1, 5, 15, 15, 21, 127, 155, 229, 203, 1303, 3215, 1965, 9481, 31909, 52307, 112207}},
-{8159, 17, 20883, {1, 3, 1, 13, 9, 45, 91, 39, 113, 587, 895, 637, 2475, 1695, 9347, 53255, 75797}},
-{8160, 17, 20886, {1, 3, 5, 13, 17, 11, 35, 83, 69, 255, 741, 3927, 153, 11001, 29145, 37107, 51873}},
-{8161, 17, 20892, {1, 1, 7, 5, 5, 37, 35, 219, 153, 1005, 973, 2555, 893, 5931, 23857, 34631, 74561}},
-{8162, 17, 20906, {1, 3, 1, 11, 21, 63, 113, 29, 115, 307, 957, 407, 879, 4819, 2865, 1773, 116825}},
-{8163, 17, 20908, {1, 3, 7, 3, 19, 55, 87, 21, 139, 571, 311, 2295, 2729, 6371, 11845, 30223, 19247}},
-{8164, 17, 20957, {1, 3, 7, 5, 23, 9, 59, 25, 357, 863, 435, 2509, 5599, 14039, 25731, 41645, 255}},
-{8165, 17, 20962, {1, 3, 7, 13, 9, 3, 63, 115, 503, 489, 1585, 813, 5419, 691, 23973, 18677, 59979}},
-{8166, 17, 20968, {1, 1, 1, 1, 13, 3, 55, 23, 185, 731, 459, 1497, 433, 16243, 29995, 20777, 59513}},
-{8167, 17, 20979, {1, 1, 7, 3, 27, 55, 77, 57, 349, 5, 617, 385, 6225, 7025, 23335, 877, 21973}},
-{8168, 17, 20991, {1, 3, 3, 5, 3, 37, 105, 197, 153, 639, 1643, 1093, 801, 4605, 4551, 46081, 7739}},
-{8169, 17, 20998, {1, 1, 5, 11, 29, 23, 5, 91, 39, 489, 2029, 887, 4451, 11463, 5641, 56299, 34027}},
-{8170, 17, 21007, {1, 1, 7, 3, 17, 11, 25, 161, 317, 701, 155, 1989, 7549, 11529, 9945, 18395, 61251}},
-{8171, 17, 21010, {1, 1, 7, 13, 23, 55, 113, 91, 17, 149, 1893, 2793, 8185, 81, 29487, 47925, 51837}},
-{8172, 17, 21026, {1, 3, 7, 7, 9, 29, 103, 161, 215, 129, 113, 1987, 919, 9639, 20715, 6541, 15041}},
-{8173, 17, 21037, {1, 1, 5, 9, 19, 19, 127, 43, 263, 997, 1687, 3801, 4249, 6309, 25889, 1787, 122771}},
-{8174, 17, 21038, {1, 3, 5, 13, 17, 3, 91, 183, 349, 467, 333, 3299, 3085, 12135, 16801, 31471, 37227}},
-{8175, 17, 21045, {1, 1, 5, 3, 7, 53, 11, 221, 407, 545, 237, 3631, 1791, 3729, 19737, 921, 57303}},
-{8176, 17, 21057, {1, 3, 7, 15, 3, 27, 71, 45, 219, 9, 1135, 2267, 6841, 8637, 30317, 9397, 115425}},
-{8177, 17, 21082, {1, 1, 3, 5, 29, 59, 121, 225, 419, 813, 1725, 3969, 3451, 8457, 31803, 57659, 33263}},
-{8178, 17, 21093, {1, 3, 3, 3, 17, 3, 65, 249, 423, 293, 1333, 3947, 1477, 4005, 30445, 28171, 95823}},
-{8179, 17, 21094, {1, 3, 3, 11, 29, 45, 67, 89, 75, 95, 555, 1823, 2795, 11929, 1995, 30013, 116241}},
-{8180, 17, 21105, {1, 3, 3, 3, 23, 35, 87, 221, 385, 275, 803, 387, 7765, 15637, 27953, 20913, 25279}},
-{8181, 17, 21117, {1, 3, 7, 15, 15, 43, 21, 179, 393, 95, 1913, 1715, 4467, 15093, 13613, 50775, 37133}},
-{8182, 17, 21121, {1, 1, 7, 7, 31, 27, 49, 71, 323, 123, 597, 2395, 4449, 7249, 20197, 19789, 92685}},
-{8183, 17, 21124, {1, 1, 5, 13, 31, 37, 89, 225, 357, 201, 1887, 3915, 2165, 10809, 21623, 34375, 110905}},
-{8184, 17, 21136, {1, 1, 5, 7, 11, 53, 37, 55, 61, 679, 1465, 1587, 2215, 16237, 14985, 50507, 128637}},
-{8185, 17, 21139, {1, 1, 7, 1, 15, 53, 115, 21, 279, 555, 43, 2429, 7251, 2141, 4813, 47047, 119551}},
-{8186, 17, 21142, {1, 1, 5, 13, 11, 41, 59, 245, 337, 117, 1125, 4007, 947, 10591, 17795, 48535, 72171}},
-{8187, 17, 21145, {1, 1, 5, 15, 27, 41, 71, 43, 505, 539, 975, 1567, 795, 4433, 11689, 53051, 98819}},
-{8188, 17, 21167, {1, 1, 7, 9, 1, 57, 57, 137, 323, 311, 759, 3027, 3713, 13, 24133, 21451, 1153}},
-{8189, 17, 21170, {1, 1, 5, 15, 31, 49, 23, 123, 271, 549, 1995, 5, 6065, 3797, 1085, 50137, 19741}},
-{8190, 17, 21175, {1, 3, 3, 13, 5, 15, 21, 117, 487, 43, 1759, 2899, 4239, 9729, 16711, 31559, 34553}},
-{8191, 17, 21179, {1, 1, 5, 13, 5, 23, 83, 49, 147, 267, 923, 1377, 1687, 1793, 30383, 19537, 66989}},
-{8192, 17, 21182, {1, 1, 1, 13, 9, 41, 105, 241, 499, 891, 885, 3349, 4703, 5609, 11999, 58025, 69089}},
-{8193, 17, 21193, {1, 1, 7, 9, 21, 11, 121, 69, 115, 895, 91, 3745, 41, 12787, 26181, 31399, 30463}},
-{8194, 17, 21194, {1, 1, 7, 13, 11, 3, 23, 173, 5, 907, 45, 3465, 2807, 3731, 14347, 27973, 8567}},
-{8195, 17, 21207, {1, 3, 7, 5, 27, 47, 43, 25, 499, 57, 649, 705, 6223, 4213, 4549, 23213, 13657}},
-{8196, 17, 21217, {1, 1, 7, 11, 21, 35, 5, 79, 295, 359, 1993, 99, 7917, 14917, 2131, 45527, 31451}},
-{8197, 17, 21224, {1, 1, 5, 15, 1, 39, 85, 93, 65, 991, 389, 585, 4835, 11671, 10913, 41787, 84953}},
-{8198, 17, 21244, {1, 1, 1, 5, 27, 5, 1, 15, 11, 83, 1191, 3945, 4697, 7703, 6929, 6057, 88721}},
-{8199, 17, 21247, {1, 1, 3, 7, 27, 39, 71, 181, 191, 997, 419, 1671, 7771, 15305, 18677, 45033, 64745}},
-{8200, 17, 21252, {1, 3, 7, 3, 15, 41, 33, 239, 93, 307, 153, 2701, 1549, 5011, 6913, 19257, 55829}},
-{8201, 17, 21264, {1, 3, 3, 11, 21, 47, 69, 223, 365, 877, 431, 1629, 4803, 11591, 13973, 56359, 11897}},
-{8202, 17, 21273, {1, 3, 7, 7, 1, 59, 63, 129, 251, 873, 603, 2707, 2847, 8739, 31343, 63291, 5607}},
-{8203, 17, 21289, {1, 3, 5, 5, 19, 13, 79, 235, 151, 571, 953, 2191, 5973, 4751, 11119, 14439, 97755}},
-{8204, 17, 21290, {1, 1, 5, 1, 27, 3, 105, 139, 13, 821, 221, 2025, 7303, 1891, 28193, 45537, 92703}},
-{8205, 17, 21295, {1, 3, 7, 9, 13, 63, 27, 149, 51, 121, 587, 3695, 4115, 3955, 22493, 34903, 51669}},
-{8206, 17, 21297, {1, 1, 5, 7, 19, 5, 89, 87, 269, 585, 421, 3827, 315, 14739, 109, 43009, 94969}},
-{8207, 17, 21309, {1, 1, 5, 15, 9, 53, 125, 83, 159, 917, 1583, 585, 6839, 14957, 20007, 60467, 96309}},
-{8208, 17, 21318, {1, 3, 5, 1, 23, 49, 109, 91, 17, 731, 1083, 3153, 1825, 14293, 25639, 44599, 47541}},
-{8209, 17, 21322, {1, 1, 3, 7, 21, 51, 45, 25, 367, 925, 799, 1673, 6977, 7155, 829, 25899, 104615}},
-{8210, 17, 21324, {1, 3, 3, 13, 13, 49, 95, 239, 195, 353, 1967, 1419, 929, 503, 11717, 9485, 62885}},
-{8211, 17, 21329, {1, 1, 1, 15, 3, 41, 109, 91, 327, 789, 1429, 1159, 2801, 4845, 19663, 47737, 11029}},
-{8212, 17, 21332, {1, 3, 5, 1, 21, 63, 57, 107, 229, 771, 1911, 647, 6989, 12615, 23191, 64941, 97595}},
-{8213, 17, 21336, {1, 1, 1, 15, 5, 13, 15, 109, 459, 447, 1625, 1269, 7629, 7929, 4405, 12143, 40481}},
-{8214, 17, 21342, {1, 3, 3, 1, 23, 3, 95, 229, 363, 379, 1149, 1615, 5125, 3645, 27535, 58791, 38091}},
-{8215, 17, 21351, {1, 1, 1, 1, 9, 45, 119, 85, 151, 171, 1123, 41, 6517, 8067, 17845, 23301, 95383}},
-{8216, 17, 21355, {1, 3, 1, 15, 17, 31, 103, 71, 35, 1019, 1687, 1175, 6119, 14075, 26601, 28873, 36617}},
-{8217, 17, 21363, {1, 3, 3, 9, 13, 39, 7, 17, 207, 219, 637, 3025, 1709, 4031, 563, 14865, 129389}},
-{8218, 17, 21372, {1, 3, 7, 1, 21, 11, 121, 85, 111, 641, 1163, 3173, 5189, 13261, 19471, 39635, 76545}},
-{8219, 17, 21382, {1, 3, 7, 15, 3, 45, 3, 37, 121, 967, 1861, 3257, 3699, 6881, 11905, 8413, 59397}},
-{8220, 17, 21388, {1, 3, 3, 13, 25, 53, 85, 181, 1, 979, 2045, 297, 1739, 8139, 17897, 35251, 7193}},
-{8221, 17, 21394, {1, 1, 1, 3, 5, 49, 77, 115, 377, 209, 1415, 3747, 485, 803, 2507, 27729, 52201}},
-{8222, 17, 21403, {1, 3, 1, 5, 31, 55, 85, 171, 135, 893, 1423, 3693, 6155, 5321, 8297, 39183, 88377}},
-{8223, 17, 21409, {1, 3, 3, 15, 1, 35, 73, 239, 181, 101, 509, 2449, 4955, 13049, 27631, 16871, 40151}},
-{8224, 17, 21416, {1, 1, 7, 13, 27, 7, 109, 71, 437, 835, 563, 1355, 3681, 7431, 32743, 59693, 125055}},
-{8225, 17, 21421, {1, 1, 7, 5, 19, 23, 29, 147, 291, 507, 1943, 2069, 3309, 11569, 1031, 49345, 86735}},
-{8226, 17, 21424, {1, 1, 3, 13, 17, 45, 91, 167, 19, 137, 527, 961, 4435, 2277, 6863, 57917, 129407}},
-{8227, 17, 21444, {1, 3, 5, 7, 11, 31, 79, 207, 43, 871, 1121, 2929, 6899, 4099, 29533, 45333, 33299}},
-{8228, 17, 21453, {1, 1, 7, 5, 5, 49, 13, 95, 475, 91, 337, 3531, 3157, 1331, 32655, 46169, 3549}},
-{8229, 17, 21466, {1, 3, 1, 5, 5, 9, 73, 177, 123, 251, 717, 541, 7083, 6907, 1417, 31203, 9755}},
-{8230, 17, 21471, {1, 3, 1, 11, 21, 11, 91, 155, 447, 165, 1525, 2073, 5103, 193, 2677, 43673, 70579}},
-{8231, 17, 21495, {1, 3, 7, 1, 7, 27, 115, 247, 211, 779, 1999, 209, 3215, 111, 25567, 34641, 130873}},
-{8232, 17, 21499, {1, 1, 5, 9, 25, 7, 15, 19, 217, 831, 1577, 2051, 3533, 2337, 7675, 2845, 69135}},
-{8233, 17, 21504, {1, 3, 5, 15, 29, 11, 91, 59, 221, 383, 1235, 1261, 2967, 14989, 11455, 6459, 58047}},
-{8234, 17, 21507, {1, 3, 5, 1, 3, 35, 5, 127, 99, 981, 493, 3001, 5651, 3125, 27789, 57389, 115631}},
-{8235, 17, 21521, {1, 3, 5, 5, 29, 63, 123, 161, 247, 177, 1653, 2665, 3903, 11129, 20961, 49429, 44075}},
-{8236, 17, 21527, {1, 3, 1, 1, 13, 9, 57, 167, 291, 765, 1929, 397, 5503, 5601, 6957, 62003, 104631}},
-{8237, 17, 21555, {1, 1, 7, 15, 9, 43, 57, 85, 157, 361, 1931, 2183, 8045, 14939, 2169, 25733, 29095}},
-{8238, 17, 21558, {1, 1, 3, 15, 13, 35, 47, 123, 13, 667, 1373, 4069, 6259, 13453, 13439, 25349, 99437}},
-{8239, 17, 21562, {1, 3, 7, 1, 31, 15, 69, 45, 355, 919, 415, 793, 3987, 8785, 4905, 8177, 123989}},
-{8240, 17, 21570, {1, 3, 7, 13, 29, 27, 69, 57, 385, 185, 171, 2499, 3983, 13437, 23585, 21501, 88079}},
-{8241, 17, 21576, {1, 1, 5, 11, 27, 3, 77, 99, 221, 997, 1653, 1963, 2251, 15505, 26347, 51933, 100679}},
-{8242, 17, 21579, {1, 1, 1, 7, 19, 39, 49, 69, 193, 235, 959, 2823, 2573, 8001, 4389, 13217, 60975}},
-{8243, 17, 21581, {1, 1, 7, 5, 1, 3, 3, 189, 199, 293, 1225, 1913, 7271, 2255, 661, 23293, 82069}},
-{8244, 17, 21587, {1, 1, 5, 5, 21, 31, 35, 113, 47, 479, 325, 1663, 7409, 8975, 14151, 56317, 79663}},
-{8245, 17, 21590, {1, 1, 5, 9, 15, 63, 99, 135, 277, 715, 667, 387, 6929, 12873, 12913, 2599, 84939}},
-{8246, 17, 21599, {1, 1, 7, 15, 23, 39, 67, 25, 179, 313, 459, 295, 1103, 1737, 7529, 29463, 104693}},
-{8247, 17, 21605, {1, 1, 3, 13, 23, 11, 111, 67, 105, 191, 1967, 3497, 7621, 487, 18545, 59521, 115315}},
-{8248, 17, 21612, {1, 1, 1, 7, 25, 45, 83, 61, 231, 569, 155, 2817, 6985, 5289, 6731, 3087, 89749}},
-{8249, 17, 21618, {1, 3, 7, 1, 1, 61, 103, 49, 135, 411, 659, 1735, 4461, 8077, 12885, 62791, 114769}},
-{8250, 17, 21630, {1, 1, 7, 13, 3, 53, 21, 81, 433, 563, 857, 891, 195, 11669, 24769, 56539, 47601}},
-{8251, 17, 21639, {1, 3, 1, 13, 3, 41, 59, 101, 67, 803, 1209, 3267, 1255, 5763, 5483, 36339, 38451}},
-{8252, 17, 21640, {1, 3, 5, 3, 25, 51, 53, 213, 329, 11, 483, 81, 2151, 7623, 26309, 15289, 85103}},
-{8253, 17, 21643, {1, 3, 3, 13, 23, 17, 9, 161, 417, 207, 39, 3615, 7567, 15207, 20383, 58885, 121765}},
-{8254, 17, 21648, {1, 3, 1, 7, 15, 59, 9, 195, 187, 583, 341, 2737, 3891, 331, 18055, 60455, 113271}},
-{8255, 17, 21669, {1, 1, 3, 3, 19, 25, 95, 37, 281, 59, 1613, 2733, 5715, 4067, 5509, 5851, 35189}},
-{8256, 17, 21679, {1, 3, 1, 3, 31, 43, 125, 107, 341, 109, 1991, 849, 7795, 13607, 20421, 3339, 78979}},
-{8257, 17, 21681, {1, 3, 7, 13, 15, 57, 87, 151, 479, 99, 479, 447, 7407, 303, 16397, 15699, 122273}},
-{8258, 17, 21687, {1, 1, 3, 1, 27, 61, 79, 195, 5, 839, 1411, 3451, 4627, 13715, 18401, 24325, 44027}},
-{8259, 17, 21688, {1, 1, 7, 15, 21, 39, 57, 207, 213, 367, 547, 1203, 6385, 2555, 31465, 15675, 7133}},
-{8260, 17, 21706, {1, 1, 5, 15, 27, 3, 75, 123, 337, 1019, 1525, 3065, 1919, 10779, 27409, 6291, 86291}},
-{8261, 17, 21713, {1, 1, 7, 11, 15, 27, 67, 145, 125, 521, 647, 2957, 6337, 14973, 24139, 29107, 27151}},
-{8262, 17, 21714, {1, 1, 1, 13, 25, 57, 103, 83, 321, 111, 131, 2051, 5267, 4723, 1939, 40389, 4803}},
-{8263, 17, 21716, {1, 3, 1, 7, 29, 7, 35, 133, 349, 855, 613, 2563, 2261, 2119, 13939, 24727, 26719}},
-{8264, 17, 21730, {1, 3, 3, 1, 11, 61, 25, 177, 427, 1005, 2027, 649, 7871, 7803, 4717, 59207, 57945}},
-{8265, 17, 21732, {1, 1, 7, 1, 15, 45, 75, 133, 193, 745, 485, 197, 6001, 13837, 615, 43629, 127321}},
-{8266, 17, 21749, {1, 3, 3, 13, 5, 7, 101, 183, 211, 283, 1327, 1395, 8175, 13359, 18361, 54243, 3555}},
-{8267, 17, 21756, {1, 1, 7, 13, 7, 43, 19, 41, 319, 701, 795, 1407, 7113, 9149, 31953, 17075, 53975}},
-{8268, 17, 21774, {1, 3, 5, 13, 11, 19, 101, 125, 327, 75, 1471, 3465, 2247, 5107, 11519, 45161, 71373}},
-{8269, 17, 21779, {1, 3, 7, 13, 23, 59, 53, 57, 137, 575, 59, 3829, 963, 11259, 25771, 29223, 79535}},
-{8270, 17, 21781, {1, 3, 3, 11, 17, 31, 111, 147, 499, 441, 1385, 769, 6901, 8349, 1427, 16561, 7485}},
-{8271, 17, 21786, {1, 1, 7, 9, 21, 7, 47, 83, 351, 867, 265, 1329, 7853, 6959, 11821, 44947, 42275}},
-{8272, 17, 21792, {1, 1, 7, 15, 3, 17, 79, 143, 449, 577, 1007, 1101, 3229, 6861, 23921, 37551, 117309}},
-{8273, 17, 21810, {1, 3, 5, 11, 27, 63, 107, 15, 289, 821, 1723, 1945, 1373, 14469, 30985, 55987, 21255}},
-{8274, 17, 21819, {1, 3, 5, 3, 21, 39, 79, 85, 485, 733, 2031, 1573, 6873, 12225, 30471, 54233, 26967}},
-{8275, 17, 21829, {1, 3, 5, 7, 17, 29, 93, 251, 437, 583, 825, 551, 6545, 10905, 27863, 37037, 52129}},
-{8276, 17, 21830, {1, 3, 7, 9, 23, 1, 23, 85, 195, 319, 1759, 3985, 2413, 16205, 22197, 48821, 94907}},
-{8277, 17, 21844, {1, 1, 3, 7, 17, 47, 3, 195, 167, 925, 11, 3431, 1767, 5917, 13915, 54565, 64625}},
-{8278, 17, 21853, {1, 3, 1, 13, 23, 43, 97, 93, 313, 773, 591, 127, 6005, 11497, 32573, 8173, 92053}},
-{8279, 17, 21867, {1, 1, 5, 9, 17, 47, 115, 237, 389, 619, 377, 561, 1333, 6433, 9743, 32673, 98039}},
-{8280, 17, 21869, {1, 3, 7, 15, 23, 17, 99, 225, 145, 191, 2041, 581, 841, 9377, 18123, 32773, 66849}},
-{8281, 17, 21882, {1, 3, 7, 15, 21, 49, 97, 41, 357, 527, 2019, 2083, 2611, 12449, 20037, 52503, 105991}},
-{8282, 17, 21891, {1, 1, 5, 13, 17, 53, 41, 75, 355, 207, 1675, 591, 5797, 9217, 16443, 3205, 81905}},
-{8283, 17, 21898, {1, 3, 7, 11, 1, 61, 29, 207, 449, 103, 1527, 2327, 7895, 10137, 25223, 51607, 60809}},
-{8284, 17, 21917, {1, 3, 3, 5, 15, 57, 87, 233, 301, 989, 485, 2143, 7411, 5475, 23377, 56005, 59721}},
-{8285, 17, 21934, {1, 3, 1, 15, 29, 7, 95, 141, 369, 231, 735, 1103, 1565, 11575, 571, 3257, 62961}},
-{8286, 17, 21946, {1, 1, 5, 15, 27, 19, 25, 35, 303, 555, 95, 1323, 6139, 5079, 21763, 59591, 103537}},
-{8287, 17, 21948, {1, 1, 1, 13, 25, 23, 85, 151, 135, 349, 1753, 1061, 7697, 1723, 5213, 12581, 103995}},
-{8288, 17, 21963, {1, 3, 1, 9, 29, 51, 101, 195, 59, 809, 1527, 2179, 63, 3681, 29823, 57537, 121371}},
-{8289, 17, 21966, {1, 1, 7, 11, 27, 61, 85, 213, 245, 261, 1649, 2423, 6127, 5687, 4247, 56061, 109793}},
-{8290, 17, 21968, {1, 3, 5, 15, 11, 33, 127, 31, 269, 857, 2027, 2611, 1729, 11783, 16459, 31083, 30671}},
-{8291, 17, 21973, {1, 1, 7, 9, 11, 29, 127, 177, 505, 227, 1499, 1309, 6855, 9999, 21815, 32987, 79109}},
-{8292, 17, 21977, {1, 3, 7, 11, 7, 21, 107, 1, 493, 459, 867, 3199, 7985, 12957, 28197, 41133, 105985}},
-{8293, 17, 21980, {1, 1, 3, 15, 1, 57, 113, 97, 213, 547, 1017, 2961, 461, 16125, 10621, 4243, 58277}},
-{8294, 17, 21984, {1, 1, 3, 5, 11, 57, 61, 47, 209, 961, 333, 795, 4491, 15115, 25745, 62633, 66269}},
-{8295, 17, 21994, {1, 1, 7, 3, 19, 13, 49, 167, 455, 863, 581, 1407, 4247, 15023, 2247, 19981, 125891}},
-{8296, 17, 21999, {1, 1, 7, 15, 17, 55, 27, 35, 33, 349, 879, 1781, 1075, 2475, 30689, 42043, 29423}},
-{8297, 17, 22018, {1, 1, 1, 11, 25, 53, 121, 117, 117, 845, 447, 3927, 1951, 8643, 24497, 44833, 99533}},
-{8298, 17, 22020, {1, 1, 7, 13, 3, 59, 117, 9, 359, 453, 327, 3419, 5957, 97, 20541, 49441, 5673}},
-{8299, 17, 22029, {1, 3, 5, 5, 31, 35, 95, 107, 435, 733, 827, 1361, 6627, 8905, 2681, 25473, 46093}},
-{8300, 17, 22032, {1, 3, 3, 5, 7, 23, 75, 137, 231, 915, 637, 2963, 4409, 12799, 31587, 65363, 69539}},
-{8301, 17, 22041, {1, 1, 1, 7, 15, 35, 19, 233, 189, 837, 243, 2525, 6185, 565, 8133, 4265, 3089}},
-{8302, 17, 22047, {1, 1, 5, 5, 19, 59, 103, 201, 287, 449, 21, 2331, 341, 13145, 18607, 46407, 2767}},
-{8303, 17, 22048, {1, 3, 3, 15, 19, 41, 49, 179, 109, 367, 1185, 1045, 1635, 9647, 16613, 25357, 34291}},
-{8304, 17, 22071, {1, 3, 5, 1, 13, 11, 89, 25, 159, 637, 1979, 549, 3553, 9163, 227, 50553, 46307}},
-{8305, 17, 22075, {1, 1, 3, 1, 17, 33, 73, 239, 261, 751, 1267, 2643, 2549, 8331, 25083, 9715, 67289}},
-{8306, 17, 22078, {1, 1, 1, 13, 3, 49, 7, 35, 367, 293, 903, 1045, 569, 6017, 27635, 51833, 32963}},
-{8307, 17, 22083, {1, 3, 5, 3, 31, 3, 69, 137, 57, 87, 719, 3977, 3031, 7675, 24605, 8757, 93173}},
-{8308, 17, 22089, {1, 3, 3, 1, 7, 45, 97, 35, 233, 69, 1525, 4047, 2599, 13679, 4389, 49079, 121465}},
-{8309, 17, 22097, {1, 1, 7, 13, 7, 25, 57, 211, 337, 189, 1825, 2451, 7651, 11277, 27763, 40671, 57223}},
-{8310, 17, 22110, {1, 1, 1, 1, 15, 59, 55, 169, 461, 907, 407, 803, 3349, 4727, 20983, 47717, 51647}},
-{8311, 17, 22113, {1, 3, 7, 1, 15, 51, 25, 119, 439, 593, 1289, 3959, 5489, 13283, 31837, 8441, 58373}},
-{8312, 17, 22119, {1, 3, 1, 9, 5, 1, 81, 45, 13, 537, 1091, 3861, 6781, 5679, 2807, 29757, 40917}},
-{8313, 17, 22120, {1, 3, 5, 3, 27, 41, 19, 235, 207, 697, 775, 837, 3431, 3175, 10807, 42775, 67987}},
-{8314, 17, 22126, {1, 3, 7, 3, 29, 33, 35, 119, 271, 609, 1747, 2839, 3415, 2275, 30979, 41293, 99341}},
-{8315, 17, 22133, {1, 3, 3, 3, 5, 17, 13, 169, 269, 709, 1449, 3169, 1545, 16075, 8937, 39705, 19609}},
-{8316, 17, 22134, {1, 3, 5, 15, 29, 13, 1, 199, 65, 385, 977, 797, 1181, 10979, 241, 40393, 73663}},
-{8317, 17, 22140, {1, 1, 3, 7, 17, 35, 47, 63, 193, 451, 151, 3415, 99, 14557, 26025, 31361, 112639}},
-{8318, 17, 22147, {1, 1, 3, 5, 19, 13, 29, 33, 365, 311, 1241, 217, 6205, 13067, 18585, 21693, 97127}},
-{8319, 17, 22161, {1, 1, 3, 15, 19, 7, 87, 25, 91, 13, 1839, 1445, 957, 9779, 25557, 37027, 38987}},
-{8320, 17, 22164, {1, 1, 5, 1, 21, 5, 79, 67, 481, 455, 37, 1321, 7723, 1413, 7919, 11035, 5739}},
-{8321, 17, 22173, {1, 1, 1, 15, 9, 55, 111, 1, 383, 439, 1037, 4055, 4243, 10443, 26737, 21039, 130847}},
-{8322, 17, 22197, {1, 1, 7, 9, 13, 25, 71, 137, 307, 717, 1009, 2477, 3861, 14145, 14549, 59589, 93401}},
-{8323, 17, 22207, {1, 1, 7, 5, 29, 63, 77, 49, 471, 267, 1457, 1743, 1915, 14793, 17899, 28011, 92183}},
-{8324, 17, 22210, {1, 3, 7, 7, 7, 41, 47, 251, 75, 749, 1915, 1015, 5869, 3211, 24097, 14349, 130571}},
-{8325, 17, 22216, {1, 1, 1, 1, 31, 63, 105, 83, 345, 147, 975, 135, 7299, 15801, 19311, 26143, 80293}},
-{8326, 17, 22234, {1, 1, 3, 1, 7, 1, 47, 45, 251, 635, 583, 3515, 5233, 6281, 7797, 37949, 75877}},
-{8327, 17, 22257, {1, 1, 3, 3, 5, 53, 99, 175, 155, 327, 1841, 211, 2811, 16099, 17255, 34253, 124141}},
-{8328, 17, 22264, {1, 3, 1, 3, 13, 27, 81, 217, 115, 245, 101, 1641, 29, 1441, 4829, 28399, 102303}},
-{8329, 17, 22278, {1, 3, 1, 5, 11, 55, 31, 91, 337, 203, 987, 977, 4929, 14933, 25149, 20493, 19783}},
-{8330, 17, 22284, {1, 1, 5, 9, 9, 37, 103, 211, 349, 165, 1421, 3015, 5133, 4615, 28173, 45787, 10711}},
-{8331, 17, 22287, {1, 1, 1, 1, 1, 17, 29, 117, 421, 651, 1617, 1677, 7841, 16303, 8843, 1321, 90701}},
-{8332, 17, 22299, {1, 1, 1, 15, 27, 23, 49, 195, 139, 319, 1277, 901, 63, 14677, 21815, 19497, 24883}},
-{8333, 17, 22301, {1, 3, 3, 13, 1, 23, 17, 189, 293, 765, 1503, 1485, 7427, 11807, 17629, 61739, 111365}},
-{8334, 17, 22308, {1, 1, 5, 5, 15, 41, 25, 53, 221, 449, 1597, 2763, 4119, 6319, 17509, 23493, 104707}},
-{8335, 17, 22337, {1, 3, 7, 11, 29, 21, 101, 197, 161, 457, 331, 3817, 5139, 14307, 23225, 55567, 62535}},
-{8336, 17, 22349, {1, 1, 7, 5, 9, 57, 39, 101, 5, 847, 1311, 313, 2877, 14811, 21969, 31741, 8075}},
-{8337, 17, 22350, {1, 3, 5, 3, 1, 11, 45, 163, 251, 775, 1031, 1957, 1631, 1691, 3191, 6255, 13037}},
-{8338, 17, 22357, {1, 1, 3, 13, 7, 11, 95, 97, 409, 835, 707, 1579, 2409, 9451, 15069, 62425, 106499}},
-{8339, 17, 22364, {1, 3, 3, 11, 5, 25, 23, 207, 429, 299, 537, 1467, 6309, 891, 15009, 56733, 60397}},
-{8340, 17, 22373, {1, 3, 5, 3, 29, 47, 95, 115, 207, 177, 543, 427, 145, 11169, 7441, 10911, 87413}},
-{8341, 17, 22377, {1, 3, 7, 11, 25, 53, 15, 225, 115, 295, 919, 39, 513, 9989, 11045, 24015, 102387}},
-{8342, 17, 22380, {1, 1, 7, 15, 13, 31, 103, 143, 357, 825, 183, 137, 2671, 9803, 14777, 48333, 79483}},
-{8343, 17, 22386, {1, 3, 5, 1, 25, 13, 65, 9, 461, 307, 1289, 1035, 7253, 14223, 16829, 23361, 84987}},
-{8344, 17, 22391, {1, 3, 5, 7, 5, 57, 47, 251, 5, 9, 965, 2883, 3105, 13931, 807, 31977, 119035}},
-{8345, 17, 22392, {1, 1, 3, 5, 3, 7, 55, 165, 3, 787, 1587, 989, 6049, 14021, 30789, 15283, 92851}},
-{8346, 17, 22411, {1, 1, 5, 5, 3, 17, 11, 167, 487, 885, 193, 3485, 8179, 9485, 24913, 40267, 70625}},
-{8347, 17, 22422, {1, 1, 7, 1, 27, 31, 9, 139, 73, 137, 783, 321, 691, 6157, 19905, 45525, 84877}},
-{8348, 17, 22425, {1, 3, 1, 9, 17, 39, 127, 177, 301, 579, 1065, 3899, 281, 9177, 16295, 51217, 120293}},
-{8349, 17, 22431, {1, 1, 7, 9, 31, 59, 17, 93, 247, 779, 847, 1183, 3453, 1073, 18597, 2655, 121633}},
-{8350, 17, 22438, {1, 1, 7, 1, 25, 43, 47, 253, 23, 999, 973, 1201, 1061, 5947, 5619, 36311, 1545}},
-{8351, 17, 22441, {1, 3, 5, 7, 11, 5, 103, 119, 229, 657, 1993, 1991, 1597, 13165, 19137, 7161, 83487}},
-{8352, 17, 22442, {1, 1, 1, 1, 11, 23, 105, 183, 467, 83, 899, 2447, 4949, 4171, 28943, 4829, 13033}},
-{8353, 17, 22449, {1, 3, 1, 7, 15, 7, 47, 215, 253, 109, 1975, 3337, 1553, 13575, 16835, 61525, 26423}},
-{8354, 17, 22452, {1, 1, 7, 1, 21, 17, 53, 79, 175, 267, 999, 249, 6177, 10453, 12475, 59801, 47351}},
-{8355, 17, 22461, {1, 3, 5, 11, 3, 57, 5, 193, 421, 799, 1833, 2635, 6537, 4669, 9597, 40661, 12113}},
-{8356, 17, 22467, {1, 1, 7, 11, 9, 11, 69, 103, 139, 167, 159, 2469, 703, 1519, 21553, 62875, 60449}},
-{8357, 17, 22479, {1, 1, 5, 3, 9, 11, 17, 183, 499, 301, 1275, 605, 7655, 12141, 7783, 39413, 116263}},
-{8358, 17, 22484, {1, 1, 1, 7, 31, 55, 23, 79, 49, 247, 761, 3573, 8187, 4879, 27379, 15725, 81415}},
-{8359, 17, 22487, {1, 3, 5, 5, 5, 49, 23, 205, 509, 383, 1165, 3839, 7663, 1539, 19967, 55901, 4351}},
-{8360, 17, 22493, {1, 1, 1, 11, 7, 15, 3, 159, 235, 735, 391, 2231, 5043, 9759, 4569, 35601, 71989}},
-{8361, 17, 22510, {1, 3, 3, 15, 23, 3, 49, 97, 99, 517, 1097, 3517, 1035, 2319, 27705, 25547, 101555}},
-{8362, 17, 22521, {1, 3, 7, 11, 27, 29, 33, 241, 205, 113, 291, 1993, 3277, 13155, 1039, 42367, 130477}},
-{8363, 17, 22533, {1, 1, 1, 3, 29, 19, 15, 159, 35, 153, 1177, 3011, 6271, 8203, 8971, 19183, 102871}},
-{8364, 17, 22534, {1, 1, 1, 5, 5, 51, 19, 175, 209, 895, 229, 2355, 499, 7877, 4935, 22737, 35587}},
-{8365, 17, 22543, {1, 3, 7, 11, 15, 9, 7, 113, 41, 835, 1593, 3933, 7165, 10959, 15487, 30019, 114505}},
-{8366, 17, 22548, {1, 1, 7, 5, 31, 21, 27, 11, 421, 165, 1605, 1859, 29, 13051, 3273, 3893, 56089}},
-{8367, 17, 22552, {1, 3, 5, 5, 17, 51, 55, 187, 401, 977, 95, 2617, 727, 9609, 5075, 48989, 120299}},
-{8368, 17, 22558, {1, 1, 5, 7, 21, 31, 127, 87, 379, 125, 247, 3607, 2555, 11873, 32535, 16677, 122273}},
-{8369, 17, 22561, {1, 1, 1, 5, 19, 21, 51, 185, 203, 145, 1073, 167, 235, 12753, 17315, 14683, 44101}},
-{8370, 17, 22562, {1, 3, 3, 1, 5, 61, 71, 17, 63, 151, 823, 17, 5315, 4861, 17279, 23049, 84971}},
-{8371, 17, 22568, {1, 3, 3, 5, 21, 63, 21, 235, 295, 467, 1661, 2487, 335, 6107, 28709, 55875, 129085}},
-{8372, 17, 22571, {1, 3, 3, 5, 1, 55, 35, 187, 5, 687, 1633, 2999, 4513, 10105, 15249, 22591, 102857}},
-{8373, 17, 22574, {1, 3, 1, 5, 19, 1, 113, 27, 261, 623, 831, 3011, 4091, 11967, 17191, 17433, 99925}},
-{8374, 17, 22581, {1, 3, 5, 5, 25, 59, 81, 249, 463, 523, 183, 3049, 3675, 2705, 28379, 1279, 25579}},
-{8375, 17, 22594, {1, 1, 3, 9, 19, 19, 71, 127, 189, 613, 647, 1449, 7755, 1415, 9067, 30683, 79703}},
-{8376, 17, 22603, {1, 1, 7, 1, 27, 33, 61, 135, 233, 633, 1969, 2245, 5841, 14069, 6497, 63617, 101483}},
-{8377, 17, 22605, {1, 3, 3, 9, 23, 3, 17, 163, 309, 741, 2023, 2647, 5847, 7871, 22311, 38377, 70663}},
-{8378, 17, 22606, {1, 3, 5, 15, 31, 33, 51, 243, 209, 273, 1305, 1599, 6115, 6249, 8639, 5903, 17215}},
-{8379, 17, 22623, {1, 1, 1, 1, 21, 11, 107, 185, 463, 435, 149, 3789, 6283, 1327, 20893, 10417, 78673}},
-{8380, 17, 22630, {1, 1, 1, 13, 5, 53, 121, 129, 493, 419, 1711, 2765, 7673, 8979, 25845, 62759, 9669}},
-{8381, 17, 22651, {1, 3, 5, 5, 1, 39, 123, 47, 449, 639, 625, 2355, 511, 1685, 1415, 32417, 76529}},
-{8382, 17, 22657, {1, 3, 1, 11, 1, 49, 67, 237, 203, 967, 1401, 2773, 4951, 13889, 14147, 41031, 71897}},
-{8383, 17, 22669, {1, 3, 5, 11, 13, 49, 17, 113, 315, 207, 1057, 3395, 6151, 2767, 16571, 1811, 66403}},
-{8384, 17, 22670, {1, 1, 7, 7, 29, 63, 49, 115, 327, 987, 1853, 3355, 8139, 2703, 30039, 51343, 86999}},
-{8385, 17, 22677, {1, 1, 3, 9, 1, 3, 45, 35, 509, 483, 159, 1795, 8023, 6989, 3755, 20887, 13587}},
-{8386, 17, 22682, {1, 1, 3, 7, 1, 27, 39, 159, 283, 843, 317, 3229, 2297, 15031, 22039, 21721, 70583}},
-{8387, 17, 22698, {1, 1, 3, 11, 9, 23, 1, 35, 79, 77, 1671, 2583, 647, 12313, 16271, 2959, 108389}},
-{8388, 17, 22712, {1, 1, 1, 7, 5, 55, 1, 233, 429, 231, 833, 1279, 7815, 1051, 30627, 4435, 25997}},
-{8389, 17, 22715, {1, 3, 1, 15, 19, 53, 9, 165, 307, 437, 551, 2477, 1841, 11799, 18477, 5871, 20065}},
-{8390, 17, 22729, {1, 1, 1, 1, 21, 5, 65, 41, 77, 909, 93, 751, 2973, 7341, 30427, 60075, 71457}},
-{8391, 17, 22732, {1, 1, 3, 11, 25, 51, 49, 63, 165, 263, 1915, 747, 8053, 6361, 4843, 20189, 110147}},
-{8392, 17, 22735, {1, 3, 1, 9, 29, 9, 45, 177, 415, 557, 1555, 2967, 1239, 8115, 12853, 19193, 73681}},
-{8393, 17, 22738, {1, 1, 5, 5, 11, 5, 51, 157, 325, 517, 1601, 3911, 1487, 13631, 7483, 61515, 48937}},
-{8394, 17, 22740, {1, 3, 7, 5, 29, 31, 107, 47, 437, 837, 1791, 477, 1717, 7, 25855, 48793, 16385}},
-{8395, 17, 22750, {1, 1, 1, 3, 29, 49, 31, 255, 233, 935, 1993, 125, 2255, 12785, 2807, 54697, 62591}},
-{8396, 17, 22753, {1, 3, 1, 7, 15, 13, 9, 245, 79, 289, 841, 253, 5259, 16123, 29189, 63837, 127915}},
-{8397, 17, 22760, {1, 3, 7, 15, 15, 55, 91, 103, 445, 289, 1471, 423, 3387, 15609, 19311, 28993, 23473}},
-{8398, 17, 22765, {1, 1, 3, 11, 31, 39, 69, 125, 115, 309, 397, 3417, 5693, 10301, 1489, 25955, 2699}},
-{8399, 17, 22768, {1, 3, 3, 5, 13, 21, 51, 207, 239, 311, 1601, 2925, 6285, 9597, 30579, 62957, 6153}},
-{8400, 17, 22778, {1, 1, 7, 1, 27, 21, 63, 143, 399, 971, 1385, 1875, 5143, 6423, 6223, 27009, 14237}},
-{8401, 17, 22785, {1, 3, 5, 1, 5, 59, 125, 133, 151, 997, 1315, 3007, 8173, 16289, 13409, 839, 103519}},
-{8402, 17, 22809, {1, 1, 1, 13, 7, 57, 83, 33, 191, 121, 939, 3927, 6089, 10083, 5903, 52229, 78325}},
-{8403, 17, 22810, {1, 1, 3, 5, 9, 61, 43, 107, 279, 135, 1109, 3779, 5305, 15333, 12217, 41257, 20265}},
-{8404, 17, 22812, {1, 3, 7, 1, 31, 59, 83, 43, 219, 119, 511, 2973, 4587, 10701, 30959, 21489, 124077}},
-{8405, 17, 22828, {1, 1, 7, 9, 17, 3, 59, 151, 281, 209, 1405, 173, 3589, 7679, 29803, 53947, 68291}},
-{8406, 17, 22840, {1, 1, 7, 7, 5, 19, 53, 91, 1, 513, 1495, 231, 3627, 1115, 16121, 12953, 108343}},
-{8407, 17, 22845, {1, 3, 1, 13, 17, 3, 35, 35, 211, 481, 2029, 1035, 3131, 5653, 18097, 10735, 102453}},
-{8408, 17, 22848, {1, 3, 1, 11, 29, 7, 121, 135, 51, 837, 681, 1497, 7435, 2215, 26527, 33029, 93241}},
-{8409, 17, 22857, {1, 3, 3, 15, 29, 43, 17, 243, 195, 315, 499, 3801, 5691, 12119, 4061, 51769, 80497}},
-{8410, 17, 22877, {1, 1, 3, 1, 11, 1, 113, 11, 387, 579, 275, 2995, 895, 11859, 4017, 1543, 11853}},
-{8411, 17, 22882, {1, 1, 7, 9, 31, 27, 63, 217, 97, 275, 435, 1355, 5205, 6587, 32589, 46485, 103587}},
-{8412, 17, 22887, {1, 3, 7, 3, 7, 19, 51, 41, 81, 261, 1909, 1475, 425, 3173, 5679, 34701, 34977}},
-{8413, 17, 22894, {1, 1, 7, 3, 27, 15, 35, 49, 387, 471, 1997, 3643, 2701, 11853, 21311, 36027, 104357}},
-{8414, 17, 22912, {1, 3, 1, 9, 5, 47, 73, 163, 309, 891, 229, 2433, 6715, 6721, 25233, 37043, 29367}},
-{8415, 17, 22930, {1, 1, 1, 7, 27, 15, 9, 185, 421, 597, 565, 143, 1531, 15585, 17057, 54309, 82915}},
-{8416, 17, 22936, {1, 1, 7, 1, 5, 43, 87, 61, 121, 341, 25, 3795, 7161, 11985, 32197, 789, 69543}},
-{8417, 17, 22939, {1, 3, 5, 13, 29, 39, 81, 39, 263, 729, 1833, 365, 1073, 9869, 1845, 52621, 5}},
-{8418, 17, 22957, {1, 1, 7, 7, 5, 33, 117, 11, 371, 161, 1303, 629, 2285, 5827, 32355, 43359, 115595}},
-{8419, 17, 22970, {1, 3, 5, 5, 13, 57, 63, 9, 243, 533, 173, 2197, 717, 13441, 22131, 17783, 3319}},
-{8420, 17, 22980, {1, 1, 7, 11, 15, 31, 87, 255, 183, 273, 805, 2347, 5881, 15401, 273, 17397, 41827}},
-{8421, 17, 22984, {1, 3, 1, 13, 7, 17, 121, 49, 47, 121, 333, 3629, 5337, 4117, 2735, 36581, 61345}},
-{8422, 17, 22992, {1, 3, 3, 11, 9, 7, 25, 223, 379, 119, 385, 1217, 4803, 2947, 30665, 7733, 77893}},
-{8423, 17, 22998, {1, 3, 3, 7, 31, 35, 127, 97, 5, 373, 7, 3035, 843, 5991, 9265, 34289, 42785}},
-{8424, 17, 23001, {1, 3, 7, 3, 27, 19, 95, 253, 349, 871, 807, 413, 5847, 10467, 4277, 12429, 75773}},
-{8425, 17, 23044, {1, 3, 3, 7, 21, 1, 79, 89, 219, 505, 41, 505, 5159, 12839, 3317, 49873, 73705}},
-{8426, 17, 23061, {1, 3, 1, 7, 21, 43, 121, 113, 477, 559, 1831, 3759, 3315, 6367, 7149, 16395, 44703}},
-{8427, 17, 23062, {1, 1, 1, 7, 13, 53, 35, 53, 489, 975, 631, 863, 3067, 1905, 21351, 14705, 80041}},
-{8428, 17, 23071, {1, 1, 1, 5, 13, 27, 121, 65, 351, 123, 1731, 367, 8061, 5229, 8537, 20897, 130373}},
-{8429, 17, 23075, {1, 1, 5, 11, 15, 63, 101, 107, 105, 619, 1771, 3549, 7191, 9083, 16827, 29639, 34219}},
-{8430, 17, 23089, {1, 3, 1, 9, 15, 13, 87, 157, 379, 433, 217, 815, 5079, 1797, 26707, 35165, 92305}},
-{8431, 17, 23090, {1, 1, 5, 13, 27, 35, 31, 65, 313, 629, 375, 1391, 5373, 3497, 7311, 23105, 45293}},
-{8432, 17, 23096, {1, 3, 1, 3, 5, 39, 91, 37, 401, 419, 949, 2431, 3685, 6671, 20789, 8597, 44215}},
-{8433, 17, 23101, {1, 1, 7, 11, 7, 15, 3, 181, 363, 913, 309, 2009, 3805, 6651, 27677, 37711, 40813}},
-{8434, 17, 23114, {1, 3, 5, 5, 17, 11, 47, 9, 27, 459, 773, 1403, 7069, 12651, 8163, 42425, 126697}},
-{8435, 17, 23121, {1, 3, 1, 3, 11, 21, 65, 103, 405, 843, 59, 3653, 1759, 5265, 401, 58019, 124999}},
-{8436, 17, 23124, {1, 1, 3, 7, 11, 25, 61, 211, 199, 849, 1835, 1181, 5003, 3873, 23743, 45451, 54901}},
-{8437, 17, 23127, {1, 3, 5, 3, 29, 25, 43, 199, 481, 991, 699, 3937, 7601, 1253, 24399, 6625, 93917}},
-{8438, 17, 23128, {1, 1, 7, 3, 29, 33, 33, 151, 3, 825, 743, 773, 7825, 8157, 22121, 50095, 16435}},
-{8439, 17, 23137, {1, 3, 1, 1, 27, 15, 81, 151, 271, 167, 1755, 1289, 7473, 8525, 12525, 63139, 48787}},
-{8440, 17, 23138, {1, 1, 7, 13, 27, 33, 87, 125, 211, 631, 149, 3451, 643, 6975, 2659, 12629, 33187}},
-{8441, 17, 23150, {1, 1, 3, 3, 5, 49, 99, 99, 85, 647, 351, 2829, 7005, 7283, 5857, 46157, 52061}},
-{8442, 17, 23155, {1, 1, 3, 5, 11, 37, 43, 129, 21, 639, 187, 2279, 8189, 12877, 28707, 7133, 93639}},
-{8443, 17, 23168, {1, 1, 3, 7, 19, 13, 35, 51, 77, 811, 1553, 2769, 763, 4965, 4643, 37639, 44229}},
-{8444, 17, 23173, {1, 3, 5, 15, 11, 29, 103, 203, 435, 1017, 531, 1453, 1407, 6569, 619, 52103, 45213}},
-{8445, 17, 23174, {1, 1, 7, 5, 25, 25, 47, 229, 201, 843, 473, 2637, 2265, 4627, 20013, 41217, 76095}},
-{8446, 17, 23195, {1, 3, 3, 15, 23, 61, 109, 31, 57, 595, 1303, 3915, 67, 8205, 3553, 9543, 103385}},
-{8447, 17, 23202, {1, 1, 3, 3, 21, 19, 21, 41, 137, 905, 2045, 491, 1783, 151, 20963, 38009, 735}},
-{8448, 17, 23225, {1, 1, 7, 11, 13, 33, 95, 251, 179, 211, 1687, 3189, 6213, 3905, 2117, 15153, 4855}},
-{8449, 17, 23226, {1, 1, 5, 3, 19, 9, 67, 243, 23, 611, 1007, 1317, 7303, 11065, 21157, 56677, 81683}},
-{8450, 17, 23239, {1, 1, 3, 5, 19, 41, 63, 129, 233, 15, 37, 1445, 1095, 11309, 30181, 49199, 85113}},
-{8451, 17, 23253, {1, 3, 7, 1, 21, 53, 83, 79, 155, 379, 773, 1823, 1003, 2787, 31107, 36115, 40987}},
-{8452, 17, 23263, {1, 3, 3, 5, 3, 19, 7, 247, 417, 573, 407, 3577, 6079, 10275, 29791, 35149, 102565}},
-{8453, 17, 23264, {1, 3, 3, 9, 21, 49, 57, 223, 125, 671, 655, 2995, 5849, 5355, 21171, 54857, 114841}},
-{8454, 17, 23281, {1, 3, 7, 3, 27, 23, 125, 103, 485, 955, 963, 1865, 2321, 2263, 32497, 47973, 122111}},
-{8455, 17, 23282, {1, 1, 3, 15, 3, 1, 37, 19, 287, 165, 1717, 851, 3619, 13623, 24295, 48253, 13143}},
-{8456, 17, 23288, {1, 1, 7, 9, 13, 59, 69, 97, 113, 163, 871, 1795, 2719, 13675, 11767, 23687, 65841}},
-{8457, 17, 23294, {1, 1, 5, 3, 21, 31, 41, 115, 469, 177, 137, 2129, 1385, 10835, 16471, 59411, 30795}},
-{8458, 17, 23302, {1, 1, 7, 7, 13, 45, 73, 119, 457, 673, 1481, 3735, 2675, 11413, 9069, 34741, 8757}},
-{8459, 17, 23311, {1, 3, 5, 3, 15, 9, 11, 191, 499, 51, 1963, 3957, 1341, 7129, 13491, 65369, 4339}},
-{8460, 17, 23320, {1, 3, 7, 1, 5, 45, 103, 209, 183, 205, 525, 2417, 847, 10801, 10699, 16723, 36421}},
-{8461, 17, 23325, {1, 3, 7, 13, 3, 57, 37, 75, 299, 359, 2017, 125, 6737, 4859, 18443, 20765, 40319}},
-{8462, 17, 23356, {1, 1, 3, 5, 5, 17, 43, 141, 31, 141, 1019, 1685, 6831, 9433, 31245, 29227, 64083}},
-{8463, 17, 23374, {1, 3, 1, 13, 25, 47, 107, 69, 459, 595, 1759, 3391, 1531, 15197, 25975, 16971, 70861}},
-{8464, 17, 23388, {1, 1, 3, 11, 3, 53, 63, 211, 69, 469, 1407, 1435, 2763, 917, 19943, 16591, 97101}},
-{8465, 17, 23402, {1, 3, 5, 13, 25, 41, 39, 61, 319, 809, 1109, 169, 3101, 8801, 21697, 50759, 130985}},
-{8466, 17, 23415, {1, 3, 1, 9, 23, 1, 11, 249, 243, 605, 1419, 269, 1601, 2063, 5365, 38077, 106161}},
-{8467, 17, 23421, {1, 1, 7, 7, 19, 55, 97, 155, 477, 845, 61, 263, 1337, 8857, 31611, 44417, 43111}},
-{8468, 17, 23426, {1, 3, 3, 15, 7, 63, 45, 239, 291, 279, 1875, 3769, 1571, 15857, 13335, 17209, 34399}},
-{8469, 17, 23443, {1, 1, 7, 11, 19, 19, 69, 111, 217, 927, 1643, 1077, 4763, 15893, 17491, 39737, 10705}},
-{8470, 17, 23446, {1, 1, 5, 11, 3, 3, 31, 199, 109, 403, 973, 3833, 2729, 7285, 26743, 53915, 96203}},
-{8471, 17, 23455, {1, 3, 3, 11, 9, 7, 19, 145, 495, 805, 381, 919, 1323, 4343, 15887, 5163, 68267}},
-{8472, 17, 23461, {1, 1, 3, 11, 15, 31, 27, 201, 251, 279, 1377, 1313, 7143, 9731, 10451, 63431, 31307}},
-{8473, 17, 23468, {1, 1, 7, 1, 1, 55, 35, 249, 133, 645, 425, 279, 6401, 11687, 751, 947, 21791}},
-{8474, 17, 23471, {1, 3, 5, 9, 5, 43, 89, 31, 419, 573, 1087, 2197, 3451, 2393, 6569, 4859, 36607}},
-{8475, 17, 23485, {1, 3, 5, 15, 25, 51, 11, 149, 483, 789, 661, 967, 3537, 15511, 26587, 29861, 120337}},
-{8476, 17, 23486, {1, 3, 5, 13, 21, 39, 75, 111, 57, 321, 1591, 381, 7399, 10807, 26651, 62489, 78341}},
-{8477, 17, 23488, {1, 3, 1, 13, 1, 1, 49, 137, 193, 967, 805, 221, 803, 11381, 27803, 51013, 10475}},
-{8478, 17, 23498, {1, 3, 7, 5, 3, 13, 47, 195, 123, 753, 397, 1203, 981, 12863, 20845, 36155, 19055}},
-{8479, 17, 23500, {1, 1, 1, 9, 9, 11, 53, 203, 3, 163, 1537, 2061, 941, 12629, 16053, 34881, 31489}},
-{8480, 17, 23515, {1, 1, 1, 15, 5, 23, 51, 197, 459, 21, 1989, 2529, 4267, 1505, 8951, 15777, 20493}},
-{8481, 17, 23521, {1, 1, 7, 3, 31, 55, 9, 55, 217, 695, 1563, 4077, 3207, 7029, 10881, 39581, 82511}},
-{8482, 17, 23527, {1, 3, 1, 5, 1, 11, 81, 1, 505, 631, 1093, 3655, 2085, 7349, 5009, 49381, 30527}},
-{8483, 17, 23534, {1, 1, 7, 1, 27, 51, 25, 235, 213, 59, 611, 3883, 2909, 6411, 19605, 49001, 114529}},
-{8484, 17, 23546, {1, 3, 5, 3, 25, 29, 19, 137, 199, 681, 1625, 2711, 4873, 14677, 9767, 30441, 54673}},
-{8485, 17, 23559, {1, 1, 1, 9, 27, 43, 109, 161, 139, 675, 741, 2839, 1425, 5701, 19897, 12787, 33069}},
-{8486, 17, 23560, {1, 3, 5, 11, 21, 19, 77, 107, 197, 591, 1899, 1311, 3347, 6369, 26891, 3771, 32455}},
-{8487, 17, 23566, {1, 1, 7, 15, 31, 13, 109, 69, 207, 349, 249, 971, 7891, 10919, 31579, 38453, 124601}},
-{8488, 17, 23584, {1, 3, 5, 5, 27, 61, 67, 193, 53, 259, 1729, 4033, 2637, 8217, 22351, 4001, 118527}},
-{8489, 17, 23587, {1, 1, 3, 5, 9, 45, 55, 73, 189, 131, 1947, 1889, 837, 4085, 10393, 64359, 1037}},
-{8490, 17, 23594, {1, 3, 7, 3, 13, 51, 55, 37, 335, 939, 35, 461, 5057, 2595, 3305, 58823, 3941}},
-{8491, 17, 23602, {1, 1, 7, 11, 7, 3, 121, 139, 241, 477, 615, 2707, 5391, 7611, 11563, 41083, 16719}},
-{8492, 17, 23607, {1, 3, 3, 15, 27, 55, 13, 221, 195, 543, 215, 4035, 1647, 8111, 26425, 43571, 79893}},
-{8493, 17, 23616, {1, 1, 1, 5, 31, 5, 35, 145, 481, 339, 1951, 2155, 1309, 9851, 31505, 37371, 21247}},
-{8494, 17, 23621, {1, 1, 7, 9, 7, 5, 73, 119, 3, 741, 1351, 2855, 2207, 1465, 12047, 13507, 129173}},
-{8495, 17, 23631, {1, 1, 7, 13, 5, 57, 119, 63, 367, 327, 1257, 3191, 6929, 9593, 16565, 54397, 100305}},
-{8496, 17, 23634, {1, 3, 1, 11, 9, 1, 85, 53, 65, 945, 17, 1963, 4819, 16173, 11669, 53579, 33701}},
-{8497, 17, 23636, {1, 1, 3, 15, 25, 27, 3, 25, 23, 429, 197, 2717, 6107, 6719, 12457, 31793, 78647}},
-{8498, 17, 23649, {1, 1, 3, 1, 7, 63, 111, 235, 299, 91, 369, 1423, 7083, 4229, 18535, 33793, 19943}},
-{8499, 17, 23652, {1, 1, 7, 13, 9, 11, 123, 9, 169, 895, 1989, 1047, 6139, 11773, 19381, 9593, 14809}},
-{8500, 17, 23679, {1, 3, 1, 3, 29, 31, 63, 91, 59, 391, 1695, 2459, 3301, 5615, 3425, 8029, 16069}},
-{8501, 17, 23686, {1, 1, 7, 1, 25, 25, 79, 49, 131, 695, 987, 2911, 1109, 8237, 18227, 37287, 22443}},
-{8502, 17, 23697, {1, 3, 3, 3, 25, 21, 33, 207, 187, 381, 129, 445, 2967, 5119, 18777, 14849, 97115}},
-{8503, 17, 23703, {1, 1, 7, 13, 19, 9, 93, 185, 391, 579, 1509, 3245, 3921, 9473, 4795, 6685, 49549}},
-{8504, 17, 23714, {1, 1, 5, 11, 1, 49, 57, 127, 363, 811, 1383, 2869, 7625, 15177, 2581, 64253, 53677}},
-{8505, 17, 23719, {1, 1, 7, 3, 7, 27, 73, 187, 31, 1011, 1013, 3269, 6625, 5001, 20805, 13331, 93725}},
-{8506, 17, 23723, {1, 3, 7, 1, 23, 61, 123, 9, 141, 113, 1009, 3713, 4947, 9929, 24125, 1101, 104249}},
-{8507, 17, 23726, {1, 3, 7, 3, 23, 17, 25, 187, 189, 875, 1435, 163, 4197, 6619, 29031, 23117, 45347}},
-{8508, 17, 23728, {1, 1, 5, 7, 11, 17, 9, 55, 117, 223, 417, 3993, 1843, 5817, 20435, 56705, 98337}},
-{8509, 17, 23733, {1, 1, 7, 3, 21, 59, 3, 77, 297, 61, 407, 1603, 3209, 1611, 30185, 50275, 56139}},
-{8510, 17, 23740, {1, 1, 1, 5, 31, 3, 101, 167, 367, 543, 339, 1885, 7855, 9989, 30969, 6735, 108123}},
-{8511, 17, 23751, {1, 1, 3, 9, 27, 63, 9, 79, 335, 351, 673, 3107, 3955, 1799, 16879, 57631, 109073}},
-{8512, 17, 23755, {1, 1, 1, 3, 27, 17, 107, 115, 155, 371, 379, 2837, 6213, 2663, 1101, 451, 69517}},
-{8513, 17, 23765, {1, 1, 3, 9, 13, 3, 55, 9, 449, 43, 1011, 3281, 5311, 223, 10715, 6639, 79949}},
-{8514, 17, 23766, {1, 3, 3, 11, 23, 9, 43, 185, 271, 1005, 1041, 2633, 377, 4247, 10417, 51903, 19239}},
-{8515, 17, 23769, {1, 3, 1, 9, 15, 39, 115, 233, 33, 425, 1979, 583, 1901, 8943, 1527, 56065, 50159}},
-{8516, 17, 23779, {1, 1, 3, 1, 13, 1, 105, 149, 13, 625, 671, 1811, 3701, 241, 27357, 25835, 127265}},
-{8517, 17, 23794, {1, 3, 1, 9, 11, 23, 107, 197, 21, 589, 1065, 2591, 1163, 15013, 8931, 6355, 87079}},
-{8518, 17, 23796, {1, 3, 5, 3, 17, 5, 121, 61, 99, 987, 2033, 2237, 2299, 14689, 19785, 9599, 101035}},
-{8519, 17, 23803, {1, 1, 1, 1, 17, 25, 5, 97, 55, 75, 1419, 2793, 7215, 3185, 7029, 23023, 89089}},
-{8520, 17, 23813, {1, 3, 3, 3, 11, 57, 103, 191, 405, 463, 1421, 253, 6069, 10905, 18193, 719, 17337}},
-{8521, 17, 23820, {1, 3, 5, 11, 23, 37, 39, 169, 295, 527, 1671, 3913, 6057, 689, 27719, 47245, 95895}},
-{8522, 17, 23841, {1, 3, 7, 5, 13, 9, 43, 189, 411, 155, 559, 3701, 1623, 2401, 10359, 22675, 41897}},
-{8523, 17, 23853, {1, 1, 1, 11, 17, 55, 47, 101, 357, 669, 857, 2745, 6425, 11839, 13095, 10757, 52383}},
-{8524, 17, 23861, {1, 1, 7, 5, 11, 13, 53, 151, 93, 455, 133, 3353, 1417, 7917, 12913, 2615, 34281}},
-{8525, 17, 23862, {1, 1, 3, 5, 29, 57, 43, 35, 203, 423, 311, 3133, 1757, 1291, 2019, 3115, 126939}},
-{8526, 17, 23873, {1, 1, 3, 11, 9, 43, 119, 95, 135, 351, 1865, 2821, 717, 6275, 19713, 42315, 97935}},
-{8527, 17, 23876, {1, 3, 7, 7, 31, 51, 7, 29, 405, 31, 1765, 3231, 1315, 1307, 26469, 62033, 35619}},
-{8528, 17, 23897, {1, 1, 5, 7, 5, 17, 49, 137, 501, 631, 1401, 2851, 6971, 14721, 4329, 26483, 120007}},
-{8529, 17, 23898, {1, 1, 5, 13, 21, 19, 95, 93, 125, 331, 1797, 1653, 1891, 11081, 30989, 24671, 95421}},
-{8530, 17, 23903, {1, 3, 3, 11, 13, 29, 61, 157, 165, 39, 661, 89, 637, 1397, 12561, 62399, 129107}},
-{8531, 17, 23904, {1, 3, 1, 15, 13, 19, 5, 115, 345, 903, 531, 4069, 6775, 7433, 569, 21779, 13271}},
-{8532, 17, 23910, {1, 3, 3, 9, 5, 53, 17, 115, 67, 939, 1907, 3979, 4311, 3573, 857, 34931, 112397}},
-{8533, 17, 23931, {1, 3, 7, 11, 9, 47, 83, 85, 277, 219, 1701, 3013, 3037, 3473, 3797, 40713, 118573}},
-{8534, 17, 23933, {1, 1, 3, 13, 25, 33, 117, 115, 179, 119, 487, 3213, 2873, 17, 20865, 20043, 64381}},
-{8535, 17, 23934, {1, 1, 1, 3, 1, 45, 73, 103, 75, 579, 981, 2449, 2141, 8697, 22995, 59693, 104461}},
-{8536, 17, 23943, {1, 3, 1, 1, 29, 9, 9, 201, 55, 389, 1069, 2057, 4149, 9217, 10753, 7889, 95849}},
-{8537, 17, 23952, {1, 3, 7, 9, 27, 39, 19, 223, 7, 253, 55, 503, 3339, 6049, 32603, 34807, 115403}},
-{8538, 17, 23955, {1, 1, 5, 3, 13, 21, 67, 87, 205, 309, 1371, 1579, 281, 16135, 28403, 25951, 24109}},
-{8539, 17, 23962, {1, 3, 1, 3, 17, 21, 49, 77, 393, 943, 1701, 2661, 5173, 12875, 2731, 40531, 19301}},
-{8540, 17, 23971, {1, 3, 1, 5, 23, 29, 61, 161, 373, 389, 1699, 359, 2513, 4717, 30397, 24395, 20881}},
-{8541, 17, 23978, {1, 3, 5, 5, 29, 3, 115, 251, 277, 487, 7, 3301, 7945, 14233, 20497, 62035, 21537}},
-{8542, 17, 23998, {1, 1, 1, 9, 7, 59, 23, 85, 367, 109, 1761, 4011, 6535, 8263, 2081, 63647, 69807}},
-{8543, 17, 24003, {1, 1, 7, 11, 21, 41, 29, 219, 271, 617, 929, 407, 2899, 14299, 7645, 44815, 58817}},
-{8544, 17, 24009, {1, 3, 5, 7, 11, 29, 119, 33, 261, 571, 2013, 3327, 2181, 12767, 93, 2437, 76533}},
-{8545, 17, 24017, {1, 1, 7, 13, 17, 39, 55, 203, 261, 917, 967, 3651, 7235, 13751, 14439, 7591, 96553}},
-{8546, 17, 24045, {1, 1, 1, 1, 11, 39, 19, 21, 125, 93, 1773, 1155, 6213, 7173, 9057, 6219, 4643}},
-{8547, 17, 24046, {1, 3, 1, 5, 1, 31, 55, 143, 425, 539, 61, 3377, 7647, 257, 15007, 24511, 8707}},
-{8548, 17, 24060, {1, 3, 3, 11, 27, 51, 103, 197, 427, 139, 181, 1169, 3123, 11803, 5285, 1321, 62267}},
-{8549, 17, 24064, {1, 3, 5, 9, 11, 3, 13, 149, 197, 37, 31, 927, 3313, 16149, 14209, 60177, 46525}},
-{8550, 17, 24076, {1, 1, 5, 13, 15, 29, 103, 49, 355, 797, 1253, 1833, 621, 3877, 9981, 49207, 91035}},
-{8551, 17, 24079, {1, 1, 3, 3, 13, 19, 27, 51, 151, 275, 35, 3755, 7511, 14197, 26141, 43765, 104327}},
-{8552, 17, 24087, {1, 3, 5, 15, 23, 47, 101, 213, 97, 957, 831, 1533, 7913, 15763, 29717, 60425, 38559}},
-{8553, 17, 24094, {1, 1, 7, 9, 29, 31, 49, 245, 361, 299, 151, 2969, 1487, 1761, 11697, 4043, 100909}},
-{8554, 17, 24100, {1, 1, 1, 3, 17, 49, 99, 159, 3, 525, 1527, 3435, 5113, 459, 13341, 54103, 85813}},
-{8555, 17, 24118, {1, 3, 1, 1, 5, 59, 35, 75, 107, 91, 1621, 3261, 619, 3271, 10813, 29857, 1547}},
-{8556, 17, 24121, {1, 1, 5, 9, 9, 33, 85, 245, 39, 879, 1621, 2587, 3825, 12939, 30113, 24611, 68491}},
-{8557, 17, 24132, {1, 3, 1, 3, 9, 39, 93, 241, 307, 237, 3, 1763, 7729, 9257, 31911, 32591, 77333}},
-{8558, 17, 24147, {1, 3, 1, 3, 27, 7, 51, 121, 317, 361, 1027, 95, 7035, 3097, 21007, 38311, 88287}},
-{8559, 17, 24165, {1, 3, 7, 3, 19, 3, 111, 115, 339, 793, 1571, 3101, 1911, 14929, 12841, 45871, 119905}},
-{8560, 17, 24172, {1, 1, 5, 7, 31, 61, 37, 143, 279, 941, 1215, 2411, 7617, 1657, 10189, 19139, 6307}},
-{8561, 17, 24177, {1, 1, 3, 9, 21, 35, 13, 157, 187, 79, 689, 1085, 37, 4549, 5901, 15321, 61627}},
-{8562, 17, 24184, {1, 3, 1, 13, 15, 39, 21, 231, 39, 327, 801, 2321, 587, 1877, 3489, 54467, 95773}},
-{8563, 17, 24187, {1, 1, 5, 7, 1, 9, 53, 1, 243, 365, 789, 3833, 317, 10697, 26567, 65187, 22507}},
-{8564, 17, 24213, {1, 3, 3, 7, 9, 41, 31, 135, 425, 939, 15, 2043, 6593, 7651, 25467, 62549, 35847}},
-{8565, 17, 24217, {1, 1, 1, 7, 15, 23, 19, 57, 421, 25, 1037, 3055, 6173, 12451, 485, 54567, 109561}},
-{8566, 17, 24223, {1, 3, 5, 1, 3, 29, 67, 233, 157, 677, 1711, 513, 4673, 2895, 1983, 31075, 1861}},
-{8567, 17, 24230, {1, 1, 1, 1, 7, 39, 115, 251, 275, 791, 15, 1685, 6835, 14685, 12607, 28213, 121475}},
-{8568, 17, 24234, {1, 1, 5, 5, 13, 11, 103, 93, 489, 709, 1339, 2407, 1663, 10195, 3135, 15531, 88427}},
-{8569, 17, 24241, {1, 1, 7, 7, 17, 1, 123, 143, 31, 721, 1739, 2273, 3785, 10261, 14741, 52573, 113677}},
-{8570, 17, 24248, {1, 3, 7, 3, 9, 21, 77, 13, 241, 429, 165, 3399, 7543, 2633, 21129, 13537, 84473}},
-{8571, 17, 24259, {1, 1, 1, 11, 21, 33, 125, 123, 189, 337, 163, 3727, 2101, 14113, 1719, 46017, 68601}},
-{8572, 17, 24262, {1, 1, 7, 9, 9, 53, 101, 111, 125, 605, 1419, 3901, 1769, 4585, 20063, 20857, 21901}},
-{8573, 17, 24271, {1, 3, 7, 11, 1, 19, 51, 7, 457, 119, 871, 3847, 57, 11437, 28763, 58831, 675}},
-{8574, 17, 24279, {1, 3, 1, 15, 25, 63, 69, 25, 405, 823, 1701, 2441, 7561, 8679, 31643, 29325, 25563}},
-{8575, 17, 24286, {1, 1, 3, 9, 15, 5, 89, 13, 73, 951, 959, 2693, 4565, 13095, 991, 12419, 8267}},
-{8576, 17, 24289, {1, 1, 7, 1, 15, 1, 119, 223, 213, 585, 1047, 2623, 4141, 2043, 1583, 59155, 5133}},
-{8577, 17, 24295, {1, 3, 3, 3, 17, 37, 81, 233, 87, 843, 1597, 1251, 4713, 10813, 24357, 48499, 84465}},
-{8578, 17, 24296, {1, 1, 1, 1, 11, 55, 125, 5, 255, 809, 543, 2351, 7079, 7801, 29247, 23937, 97405}},
-{8579, 17, 24299, {1, 3, 3, 5, 17, 55, 87, 245, 371, 679, 943, 655, 5857, 261, 28229, 22519, 35191}},
-{8580, 17, 24314, {1, 1, 7, 15, 9, 49, 25, 155, 13, 893, 1303, 2317, 2903, 15601, 1433, 20397, 70125}},
-{8581, 17, 24336, {1, 3, 5, 3, 11, 47, 99, 63, 253, 95, 1023, 397, 4307, 4771, 17027, 19833, 18269}},
-{8582, 17, 24342, {1, 3, 3, 7, 25, 17, 69, 119, 475, 575, 1637, 3785, 649, 11557, 22457, 38633, 96153}},
-{8583, 17, 24346, {1, 1, 1, 5, 31, 55, 85, 83, 307, 201, 1543, 727, 977, 15779, 21907, 31025, 38969}},
-{8584, 17, 24357, {1, 3, 5, 1, 7, 53, 107, 239, 341, 237, 1567, 2717, 3197, 12419, 23733, 42119, 86619}},
-{8585, 17, 24367, {1, 1, 5, 13, 3, 7, 105, 95, 201, 953, 781, 2043, 5263, 13427, 10303, 60027, 19297}},
-{8586, 17, 24370, {1, 1, 5, 15, 25, 51, 5, 77, 165, 297, 1281, 1635, 4139, 11569, 32325, 23135, 27013}},
-{8587, 17, 24372, {1, 1, 3, 9, 3, 59, 107, 137, 251, 715, 1477, 511, 5629, 12205, 7541, 62559, 4253}},
-{8588, 17, 24387, {1, 1, 7, 11, 31, 29, 7, 251, 119, 547, 1179, 3063, 1625, 8941, 30515, 13601, 72741}},
-{8589, 17, 24389, {1, 3, 7, 13, 27, 43, 31, 43, 465, 355, 1063, 2305, 1425, 11963, 27327, 53335, 127517}},
-{8590, 17, 24402, {1, 3, 1, 3, 21, 17, 53, 171, 269, 783, 349, 1879, 575, 13537, 16931, 61171, 23499}},
-{8591, 17, 24414, {1, 3, 5, 3, 11, 5, 121, 227, 237, 841, 431, 3209, 3241, 6071, 23465, 39533, 102391}},
-{8592, 17, 24420, {1, 3, 5, 11, 9, 1, 59, 143, 181, 869, 1859, 1543, 6419, 13305, 29075, 28051, 105799}},
-{8593, 17, 24435, {1, 1, 7, 13, 31, 1, 105, 169, 67, 693, 1667, 2181, 4127, 4605, 3701, 36467, 19631}},
-{8594, 17, 24437, {1, 1, 7, 5, 31, 15, 119, 161, 55, 549, 1195, 4051, 1923, 2497, 8289, 60393, 96181}},
-{8595, 17, 24442, {1, 1, 3, 3, 5, 43, 13, 123, 469, 603, 2047, 2347, 815, 3457, 7503, 25261, 71951}},
-{8596, 17, 24444, {1, 1, 7, 3, 13, 25, 85, 141, 497, 405, 957, 1407, 2075, 12445, 6675, 9993, 40429}},
-{8597, 17, 24447, {1, 1, 5, 13, 29, 43, 99, 113, 307, 1003, 859, 723, 7513, 12249, 12653, 57685, 89551}},
-{8598, 17, 24468, {1, 3, 7, 3, 11, 3, 9, 141, 501, 113, 69, 2285, 4525, 9049, 24765, 11585, 53787}},
-{8599, 17, 24475, {1, 1, 3, 1, 25, 41, 103, 159, 215, 871, 77, 1849, 609, 15877, 32515, 22931, 11933}},
-{8600, 17, 24484, {1, 1, 5, 11, 3, 27, 27, 111, 479, 861, 1041, 3777, 4443, 3095, 30379, 6293, 30823}},
-{8601, 17, 24493, {1, 3, 5, 5, 27, 45, 9, 25, 451, 845, 1153, 897, 325, 15679, 30151, 37695, 54593}},
-{8602, 17, 24494, {1, 3, 7, 1, 15, 47, 87, 135, 87, 567, 221, 3173, 769, 8173, 2957, 51287, 20961}},
-{8603, 17, 24496, {1, 3, 1, 9, 3, 33, 1, 71, 147, 983, 1485, 3531, 213, 2353, 28269, 49353, 88343}},
-{8604, 17, 24514, {1, 1, 3, 11, 11, 63, 109, 255, 35, 127, 1777, 791, 1379, 9539, 4915, 21593, 98901}},
-{8605, 17, 24519, {1, 1, 7, 5, 3, 47, 93, 219, 381, 963, 359, 2461, 7629, 2803, 17345, 54311, 79057}},
-{8606, 17, 24533, {1, 3, 5, 13, 13, 21, 1, 65, 455, 203, 29, 3717, 4495, 1285, 25289, 38597, 42431}},
-{8607, 17, 24538, {1, 1, 3, 3, 27, 57, 7, 171, 65, 469, 1921, 3855, 1637, 5517, 14907, 48239, 117573}},
-{8608, 17, 24559, {1, 3, 5, 1, 11, 35, 105, 251, 19, 219, 1191, 2177, 7885, 8399, 30527, 61415, 122215}},
-{8609, 17, 24568, {1, 3, 5, 5, 21, 25, 59, 193, 509, 147, 1805, 561, 3505, 9639, 14221, 31, 99261}},
-{8610, 17, 24573, {1, 1, 5, 13, 31, 23, 35, 143, 367, 385, 1335, 2497, 3573, 8113, 16661, 16147, 8763}},
-{8611, 17, 24577, {1, 1, 7, 13, 15, 27, 35, 15, 7, 539, 633, 1145, 2267, 11527, 20975, 16689, 58227}},
-{8612, 17, 24587, {1, 1, 1, 15, 9, 11, 51, 121, 381, 331, 1445, 187, 519, 15827, 27611, 32891, 113671}},
-{8613, 17, 24592, {1, 3, 1, 5, 19, 3, 77, 67, 107, 105, 1025, 3229, 6869, 5717, 4227, 28489, 59759}},
-{8614, 17, 24601, {1, 1, 5, 15, 25, 23, 7, 25, 103, 733, 525, 453, 6467, 2901, 7197, 33267, 68177}},
-{8615, 17, 24602, {1, 1, 5, 7, 27, 27, 41, 93, 449, 733, 571, 411, 1709, 9557, 549, 5925, 24123}},
-{8616, 17, 24608, {1, 1, 7, 5, 31, 57, 119, 227, 105, 533, 717, 3357, 2495, 6467, 7211, 38169, 44603}},
-{8617, 17, 24645, {1, 1, 5, 7, 29, 9, 125, 241, 471, 571, 1271, 2911, 8087, 5067, 31139, 39681, 28579}},
-{8618, 17, 24650, {1, 3, 5, 11, 25, 53, 109, 35, 183, 109, 1961, 1681, 7773, 6935, 28049, 37279, 96829}},
-{8619, 17, 24657, {1, 1, 1, 11, 1, 17, 47, 245, 231, 747, 1395, 1635, 5129, 3165, 627, 34463, 38967}},
-{8620, 17, 24664, {1, 3, 5, 1, 9, 41, 25, 215, 251, 525, 1399, 3405, 7399, 11041, 5599, 51167, 38697}},
-{8621, 17, 24670, {1, 3, 3, 13, 11, 15, 121, 95, 139, 611, 633, 3941, 2619, 15123, 28535, 64823, 17527}},
-{8622, 17, 24673, {1, 3, 7, 13, 21, 53, 65, 175, 81, 5, 699, 1525, 7397, 2465, 4479, 58225, 26387}},
-{8623, 17, 24676, {1, 1, 5, 7, 9, 31, 31, 149, 359, 613, 397, 153, 4861, 8195, 22969, 26003, 124423}},
-{8624, 17, 24680, {1, 3, 1, 13, 27, 17, 107, 27, 19, 13, 1481, 573, 7701, 6273, 30255, 16125, 11809}},
-{8625, 17, 24686, {1, 3, 1, 9, 15, 1, 45, 105, 287, 901, 667, 3197, 3493, 12259, 1511, 63361, 94257}},
-{8626, 17, 24700, {1, 3, 1, 3, 25, 53, 19, 87, 365, 585, 1569, 1731, 3747, 11985, 22673, 17767, 113779}},
-{8627, 17, 24704, {1, 3, 3, 9, 7, 21, 103, 201, 501, 149, 1939, 3111, 4739, 8389, 27127, 55889, 54487}},
-{8628, 17, 24714, {1, 3, 5, 7, 25, 53, 75, 57, 19, 505, 849, 2631, 6999, 11269, 24541, 17695, 97671}},
-{8629, 17, 24728, {1, 1, 7, 15, 5, 51, 123, 93, 445, 379, 1729, 2747, 5821, 10779, 29335, 57419, 109339}},
-{8630, 17, 24731, {1, 1, 7, 3, 7, 57, 117, 65, 297, 891, 487, 1535, 2361, 10457, 30759, 34571, 129949}},
-{8631, 17, 24733, {1, 3, 5, 5, 17, 51, 27, 103, 55, 925, 947, 1237, 1629, 12687, 14775, 49627, 100939}},
-{8632, 17, 24747, {1, 3, 3, 15, 1, 11, 75, 177, 399, 55, 1705, 1165, 7525, 8909, 13071, 60703, 11561}},
-{8633, 17, 24749, {1, 1, 1, 7, 13, 29, 23, 65, 279, 853, 637, 3947, 4099, 6465, 7061, 50417, 35015}},
-{8634, 17, 24750, {1, 1, 3, 3, 15, 11, 111, 169, 135, 279, 1941, 3035, 3027, 6813, 13363, 20387, 3257}},
-{8635, 17, 24764, {1, 3, 3, 11, 3, 5, 95, 181, 405, 313, 39, 1503, 2443, 3221, 17021, 23485, 43909}},
-{8636, 17, 24782, {1, 1, 1, 3, 17, 63, 27, 247, 441, 533, 449, 3845, 4021, 14269, 31477, 7013, 37473}},
-{8637, 17, 24784, {1, 1, 5, 13, 29, 39, 41, 95, 417, 21, 685, 609, 5787, 13145, 32677, 6121, 50919}},
-{8638, 17, 24793, {1, 1, 5, 3, 17, 5, 93, 143, 171, 681, 1143, 2875, 805, 15823, 29649, 63327, 12041}},
-{8639, 17, 24794, {1, 1, 1, 11, 3, 53, 123, 105, 59, 485, 1799, 2939, 657, 2485, 29563, 36221, 89095}},
-{8640, 17, 24810, {1, 1, 5, 5, 15, 13, 127, 87, 211, 579, 175, 793, 6895, 9051, 17681, 28831, 31783}},
-{8641, 17, 24817, {1, 3, 7, 5, 11, 37, 9, 219, 453, 697, 139, 335, 6411, 8495, 4203, 29065, 114837}},
-{8642, 17, 24820, {1, 1, 3, 5, 31, 25, 89, 215, 249, 271, 1731, 3133, 3947, 10227, 9679, 51303, 82833}},
-{8643, 17, 24823, {1, 3, 5, 1, 31, 15, 7, 131, 369, 757, 1963, 3223, 35, 13967, 31807, 5093, 113743}},
-{8644, 17, 24832, {1, 1, 7, 3, 15, 23, 21, 173, 295, 929, 1137, 3943, 1985, 13015, 8523, 59117, 127}},
-{8645, 17, 24855, {1, 3, 7, 1, 31, 1, 115, 229, 345, 859, 1757, 1835, 7491, 4545, 1483, 40149, 122321}},
-{8646, 17, 24859, {1, 1, 1, 3, 13, 5, 3, 133, 177, 47, 1515, 17, 5663, 3185, 2775, 31389, 37409}},
-{8647, 17, 24862, {1, 1, 3, 3, 31, 3, 43, 137, 185, 803, 709, 391, 3513, 8117, 32593, 46593, 61037}},
-{8648, 17, 24877, {1, 1, 1, 7, 29, 27, 13, 35, 61, 961, 777, 2725, 7379, 7053, 21781, 60285, 49221}},
-{8649, 17, 24890, {1, 3, 7, 15, 7, 7, 15, 123, 109, 97, 361, 791, 4773, 8111, 4319, 13981, 92505}},
-{8650, 17, 24900, {1, 1, 3, 11, 21, 33, 113, 221, 453, 981, 341, 4041, 5129, 5981, 11051, 17243, 19023}},
-{8651, 17, 24904, {1, 3, 1, 1, 19, 7, 75, 213, 467, 221, 1829, 1275, 5729, 6843, 23855, 44805, 89269}},
-{8652, 17, 24909, {1, 1, 3, 7, 5, 29, 39, 125, 147, 329, 1485, 2793, 2329, 14979, 18395, 37951, 58699}},
-{8653, 17, 24910, {1, 3, 1, 3, 11, 37, 117, 189, 103, 381, 39, 31, 5205, 5601, 17127, 49073, 121417}},
-{8654, 17, 24915, {1, 3, 3, 13, 23, 49, 57, 187, 441, 189, 349, 2559, 3313, 1321, 7731, 57309, 80195}},
-{8655, 17, 24922, {1, 3, 7, 1, 17, 9, 21, 15, 447, 333, 959, 3471, 5301, 8573, 9761, 23183, 57997}},
-{8656, 17, 24937, {1, 3, 1, 9, 19, 1, 101, 71, 325, 309, 85, 2097, 8003, 12249, 1887, 2097, 68375}},
-{8657, 17, 24945, {1, 1, 7, 7, 11, 39, 85, 241, 293, 205, 387, 1539, 6583, 1395, 8869, 48843, 49983}},
-{8658, 17, 24962, {1, 3, 7, 13, 11, 23, 83, 125, 55, 429, 169, 1893, 4657, 643, 3405, 9943, 128753}},
-{8659, 17, 24964, {1, 1, 3, 11, 19, 43, 13, 171, 495, 117, 437, 3697, 6723, 6199, 1859, 39637, 111499}},
-{8660, 17, 24991, {1, 1, 1, 5, 1, 31, 83, 199, 129, 941, 1637, 1997, 5011, 14957, 32427, 60797, 4989}},
-{8661, 17, 24992, {1, 3, 3, 3, 5, 61, 33, 225, 315, 157, 1709, 807, 7809, 11063, 319, 20901, 73599}},
-{8662, 17, 24995, {1, 1, 7, 3, 27, 3, 1, 173, 125, 769, 1203, 3357, 4899, 13115, 7081, 42459, 18525}},
-{8663, 17, 25001, {1, 1, 7, 9, 9, 27, 43, 115, 229, 867, 661, 1825, 2883, 4285, 22393, 65141, 24699}},
-{8664, 17, 25009, {1, 1, 3, 7, 5, 9, 93, 47, 33, 823, 309, 2977, 5791, 9177, 27645, 35683, 57455}},
-{8665, 17, 25019, {1, 1, 5, 7, 9, 53, 9, 77, 499, 1023, 917, 209, 7311, 249, 773, 18303, 41447}},
-{8666, 17, 25021, {1, 1, 3, 5, 7, 9, 33, 73, 325, 369, 1657, 2257, 2893, 13911, 10797, 21055, 103511}},
-{8667, 17, 25029, {1, 3, 1, 3, 21, 31, 125, 29, 149, 513, 979, 2271, 989, 9541, 4179, 13215, 71369}},
-{8668, 17, 25034, {1, 1, 7, 7, 19, 41, 39, 165, 59, 79, 137, 3479, 3389, 6635, 21467, 51073, 20765}},
-{8669, 17, 25036, {1, 3, 3, 5, 7, 13, 109, 53, 335, 627, 339, 3825, 287, 6077, 11319, 2377, 112693}},
-{8670, 17, 25039, {1, 3, 3, 1, 3, 57, 9, 47, 437, 717, 563, 1219, 6191, 9081, 21533, 2651, 17275}},
-{8671, 17, 25057, {1, 1, 1, 5, 21, 9, 109, 109, 339, 947, 1699, 1487, 6477, 12601, 12327, 39427, 80937}},
-{8672, 17, 25063, {1, 1, 7, 9, 1, 5, 55, 43, 95, 733, 1151, 3657, 2119, 11947, 21279, 21581, 22053}},
-{8673, 17, 25064, {1, 3, 5, 11, 7, 9, 97, 149, 55, 523, 1911, 1389, 5343, 5533, 15439, 65313, 73421}},
-{8674, 17, 25075, {1, 1, 3, 7, 19, 15, 119, 141, 57, 243, 423, 981, 1407, 12633, 20455, 53069, 98593}},
-{8675, 17, 25077, {1, 1, 3, 3, 15, 57, 71, 203, 15, 133, 601, 805, 2821, 11623, 147, 4333, 97681}},
-{8676, 17, 25084, {1, 1, 5, 7, 17, 61, 15, 251, 53, 699, 105, 1195, 3979, 41, 9077, 5145, 80057}},
-{8677, 17, 25088, {1, 1, 5, 15, 29, 33, 53, 19, 41, 471, 1143, 65, 5833, 8417, 17263, 35859, 45035}},
-{8678, 17, 25091, {1, 1, 1, 1, 15, 51, 73, 131, 181, 147, 1863, 3777, 1749, 10135, 11591, 12395, 85163}},
-{8679, 17, 25105, {1, 3, 1, 9, 23, 63, 83, 199, 87, 499, 2025, 863, 4665, 3941, 17647, 52463, 108615}},
-{8680, 17, 25134, {1, 3, 5, 7, 11, 39, 65, 161, 367, 593, 699, 1807, 7217, 5221, 22093, 44933, 6201}},
-{8681, 17, 25165, {1, 1, 7, 13, 9, 41, 35, 77, 353, 291, 1267, 3923, 5397, 15401, 30317, 14945, 8715}},
-{8682, 17, 25183, {1, 3, 1, 15, 11, 3, 29, 25, 505, 945, 1425, 2297, 1133, 4675, 8069, 55115, 114177}},
-{8683, 17, 25184, {1, 3, 1, 5, 27, 63, 25, 7, 5, 399, 473, 1325, 7391, 5953, 27755, 65407, 89435}},
-{8684, 17, 25202, {1, 3, 3, 13, 21, 61, 5, 119, 23, 999, 849, 1225, 3077, 821, 12059, 43223, 45427}},
-{8685, 17, 25204, {1, 3, 7, 13, 1, 5, 93, 173, 181, 453, 1449, 3823, 1713, 14737, 8891, 43643, 1983}},
-{8686, 17, 25211, {1, 1, 3, 3, 29, 53, 31, 163, 321, 539, 1283, 429, 3449, 15617, 4761, 21187, 120725}},
-{8687, 17, 25223, {1, 1, 1, 1, 13, 27, 49, 37, 33, 631, 375, 425, 2465, 8773, 2777, 2115, 35633}},
-{8688, 17, 25224, {1, 3, 5, 3, 25, 25, 27, 201, 63, 259, 1571, 1143, 2325, 6773, 11941, 28897, 19719}},
-{8689, 17, 25235, {1, 1, 3, 5, 11, 39, 59, 203, 37, 899, 559, 2599, 4397, 12159, 29579, 51251, 83213}},
-{8690, 17, 25241, {1, 1, 1, 7, 9, 19, 63, 169, 257, 921, 381, 3605, 3479, 1739, 26599, 20599, 29617}},
-{8691, 17, 25253, {1, 1, 1, 9, 7, 29, 123, 35, 419, 963, 855, 1903, 6199, 2727, 29811, 49279, 101673}},
-{8692, 17, 25258, {1, 3, 5, 11, 29, 23, 73, 13, 467, 935, 181, 3837, 8117, 11501, 18361, 26803, 99471}},
-{8693, 17, 25277, {1, 1, 1, 5, 31, 41, 109, 45, 115, 113, 1893, 727, 2453, 13463, 22339, 13495, 11473}},
-{8694, 17, 25278, {1, 1, 5, 9, 5, 31, 109, 145, 511, 243, 57, 2219, 1601, 1821, 12787, 48239, 89645}},
-{8695, 17, 25280, {1, 3, 1, 7, 19, 41, 25, 57, 45, 489, 1531, 3959, 2007, 14247, 13445, 1991, 114977}},
-{8696, 17, 25290, {1, 3, 7, 15, 7, 17, 107, 27, 249, 207, 183, 2483, 5817, 8927, 10715, 63631, 51947}},
-{8697, 17, 25295, {1, 3, 1, 3, 13, 21, 57, 113, 171, 885, 1335, 783, 7575, 4443, 19497, 13827, 130727}},
-{8698, 17, 25300, {1, 1, 5, 7, 19, 33, 95, 13, 387, 297, 1597, 767, 7543, 16063, 10367, 51683, 119811}},
-{8699, 17, 25307, {1, 3, 7, 9, 27, 57, 111, 209, 305, 139, 179, 25, 2295, 2593, 31361, 23677, 74501}},
-{8700, 17, 25319, {1, 3, 7, 3, 21, 63, 97, 189, 3, 693, 209, 2227, 7169, 9, 32575, 61521, 115155}},
-{8701, 17, 25323, {1, 1, 1, 11, 13, 21, 125, 249, 193, 895, 139, 1207, 5941, 5821, 6623, 7753, 80939}},
-{8702, 17, 25326, {1, 3, 5, 5, 11, 49, 17, 21, 423, 497, 835, 539, 6195, 12783, 1271, 20069, 2657}},
-{8703, 17, 25333, {1, 1, 7, 15, 13, 39, 83, 191, 77, 95, 661, 3627, 1853, 1349, 23109, 43583, 104121}},
-{8704, 17, 25334, {1, 3, 1, 15, 31, 15, 71, 255, 489, 91, 351, 367, 309, 6275, 18325, 51231, 52159}},
-{8705, 17, 25337, {1, 1, 7, 13, 21, 49, 37, 135, 355, 421, 507, 2563, 4955, 4095, 1933, 29517, 119699}},
-{8706, 17, 25348, {1, 1, 1, 1, 27, 41, 15, 161, 475, 635, 863, 3773, 6015, 6197, 24261, 26271, 42375}},
-{8707, 17, 25351, {1, 1, 7, 13, 25, 7, 23, 185, 129, 597, 1561, 3003, 2879, 15187, 4913, 24589, 12927}},
-{8708, 17, 25372, {1, 1, 3, 3, 9, 23, 49, 233, 345, 83, 823, 2627, 5019, 2365, 23755, 9855, 48515}},
-{8709, 17, 25381, {1, 3, 1, 1, 11, 7, 117, 213, 27, 923, 375, 2597, 8173, 8935, 16487, 49283, 104569}},
-{8710, 17, 25403, {1, 1, 7, 7, 23, 13, 61, 131, 313, 883, 495, 1105, 6207, 1473, 21655, 51883, 403}},
-{8711, 17, 25406, {1, 3, 3, 1, 25, 5, 5, 159, 243, 929, 1429, 1151, 5043, 11551, 21231, 38767, 105299}},
-{8712, 17, 25431, {1, 3, 7, 7, 15, 37, 49, 219, 67, 147, 873, 2391, 455, 9565, 8977, 64759, 40347}},
-{8713, 17, 25437, {1, 1, 1, 13, 21, 13, 13, 243, 303, 333, 187, 3591, 871, 2501, 30853, 5247, 48855}},
-{8714, 17, 25453, {1, 1, 1, 5, 1, 5, 127, 249, 23, 79, 789, 3507, 8119, 5025, 26545, 54009, 100633}},
-{8715, 17, 25459, {1, 3, 3, 11, 3, 31, 27, 115, 423, 309, 1805, 169, 789, 4081, 28139, 35355, 47991}},
-{8716, 17, 25462, {1, 3, 1, 5, 19, 13, 43, 165, 165, 241, 309, 1703, 7631, 5899, 12041, 21235, 97045}},
-{8717, 17, 25466, {1, 3, 1, 13, 15, 49, 29, 199, 93, 611, 77, 2681, 191, 10215, 8115, 11895, 108687}},
-{8718, 17, 25477, {1, 1, 3, 3, 13, 45, 15, 151, 345, 111, 1829, 1357, 6317, 5239, 26193, 46763, 73101}},
-{8719, 17, 25484, {1, 3, 7, 3, 1, 19, 119, 63, 23, 759, 173, 307, 967, 2731, 9353, 14479, 119}},
-{8720, 17, 25495, {1, 3, 5, 15, 5, 21, 127, 21, 419, 575, 991, 3465, 7365, 5711, 30657, 43513, 22447}},
-{8721, 17, 25501, {1, 3, 7, 1, 19, 5, 49, 7, 45, 963, 1755, 3745, 4061, 4619, 9089, 59953, 100265}},
-{8722, 17, 25506, {1, 1, 1, 3, 25, 53, 97, 97, 347, 749, 823, 1499, 8151, 9957, 731, 22317, 121623}},
-{8723, 17, 25511, {1, 3, 5, 5, 19, 3, 121, 127, 313, 457, 1737, 4065, 5295, 7957, 16373, 62085, 5711}},
-{8724, 17, 25515, {1, 1, 7, 13, 7, 37, 97, 43, 179, 837, 161, 477, 5095, 4985, 111, 58743, 24049}},
-{8725, 17, 25525, {1, 3, 1, 13, 27, 13, 91, 241, 339, 235, 111, 369, 3361, 15105, 11097, 23955, 53561}},
-{8726, 17, 25529, {1, 3, 5, 3, 9, 17, 103, 133, 309, 683, 71, 3329, 7229, 8763, 4165, 9649, 8529}},
-{8727, 17, 25532, {1, 3, 5, 13, 29, 55, 29, 205, 433, 1007, 1173, 731, 5653, 89, 18447, 37911, 65603}},
-{8728, 17, 25538, {1, 3, 5, 1, 15, 1, 7, 195, 397, 877, 1433, 3487, 1581, 1539, 3361, 7453, 46451}},
-{8729, 17, 25549, {1, 1, 5, 13, 23, 1, 47, 245, 19, 859, 681, 2971, 2531, 11393, 32765, 4595, 45213}},
-{8730, 17, 25552, {1, 3, 1, 3, 1, 11, 85, 185, 467, 413, 25, 3677, 881, 1791, 14655, 44811, 50819}},
-{8731, 17, 25564, {1, 3, 5, 9, 9, 21, 65, 99, 441, 215, 1453, 2873, 5883, 485, 20883, 1303, 11837}},
-{8732, 17, 25567, {1, 3, 3, 5, 9, 37, 87, 211, 247, 535, 1163, 1785, 4219, 12559, 17419, 48201, 21725}},
-{8733, 17, 25574, {1, 1, 1, 11, 29, 11, 9, 215, 375, 601, 627, 2641, 6961, 6175, 10995, 49299, 102891}},
-{8734, 17, 25577, {1, 3, 1, 3, 7, 7, 23, 139, 89, 1005, 1815, 947, 1507, 10349, 35, 43595, 104697}},
-{8735, 17, 25583, {1, 1, 5, 13, 29, 47, 77, 255, 341, 333, 1211, 3473, 1303, 11237, 28371, 43283, 77617}},
-{8736, 17, 25588, {1, 3, 3, 13, 27, 17, 73, 95, 227, 241, 1369, 833, 6683, 2193, 309, 64249, 6731}},
-{8737, 17, 25603, {1, 3, 3, 3, 15, 29, 45, 209, 401, 725, 1123, 1659, 6099, 15941, 5797, 30563, 119385}},
-{8738, 17, 25610, {1, 1, 1, 1, 7, 55, 95, 151, 351, 373, 1131, 2357, 7535, 3899, 19047, 17879, 34623}},
-{8739, 17, 25615, {1, 3, 1, 5, 31, 5, 33, 97, 477, 399, 1255, 1073, 1513, 11651, 2951, 31351, 102635}},
-{8740, 17, 25624, {1, 1, 3, 13, 17, 63, 51, 209, 57, 87, 977, 3663, 6717, 15441, 10709, 607, 48297}},
-{8741, 17, 25636, {1, 1, 5, 1, 9, 29, 1, 105, 343, 19, 977, 3401, 3873, 4259, 23057, 13071, 105771}},
-{8742, 17, 25639, {1, 1, 1, 5, 1, 33, 59, 17, 115, 225, 853, 3295, 965, 12547, 26971, 50097, 54999}},
-{8743, 17, 25643, {1, 3, 3, 13, 1, 51, 29, 19, 245, 781, 493, 1121, 2937, 4177, 3267, 47463, 101195}},
-{8744, 17, 25645, {1, 3, 7, 5, 3, 51, 25, 131, 451, 997, 1809, 1583, 355, 15383, 28159, 39141, 109379}},
-{8745, 17, 25648, {1, 1, 5, 7, 3, 19, 75, 103, 401, 115, 1627, 423, 2485, 7281, 6177, 54677, 31499}},
-{8746, 17, 25671, {1, 1, 1, 11, 23, 7, 57, 121, 5, 921, 1191, 1779, 1979, 3427, 25617, 19423, 73835}},
-{8747, 17, 25678, {1, 3, 3, 11, 17, 51, 15, 163, 265, 665, 1399, 1977, 3097, 7109, 14741, 24291, 79239}},
-{8748, 17, 25689, {1, 1, 7, 3, 25, 61, 69, 77, 341, 23, 713, 2879, 8075, 14855, 9691, 58241, 113277}},
-{8749, 17, 25708, {1, 3, 7, 9, 27, 43, 95, 11, 239, 445, 951, 3869, 1049, 6493, 9569, 9285, 29183}},
-{8750, 17, 25716, {1, 1, 3, 1, 1, 23, 27, 101, 337, 171, 1977, 3181, 2693, 8591, 32309, 24909, 106535}},
-{8751, 17, 25725, {1, 1, 1, 7, 23, 59, 79, 115, 49, 351, 871, 1209, 1045, 5985, 28427, 23047, 113571}},
-{8752, 17, 25730, {1, 1, 7, 13, 27, 3, 35, 7, 319, 503, 977, 3747, 4859, 16315, 30375, 25999, 24341}},
-{8753, 17, 25739, {1, 3, 3, 7, 23, 43, 67, 21, 399, 349, 1541, 2991, 5781, 14501, 5609, 65093, 12789}},
-{8754, 17, 25747, {1, 3, 1, 11, 5, 21, 17, 157, 311, 663, 469, 4033, 1557, 7569, 31163, 14079, 127771}},
-{8755, 17, 25753, {1, 1, 7, 15, 15, 31, 15, 183, 365, 35, 1433, 2793, 6685, 10565, 30409, 46815, 14173}},
-{8756, 17, 25790, {1, 1, 7, 7, 7, 45, 61, 163, 99, 353, 1535, 3185, 4023, 7999, 26173, 12675, 98073}},
-{8757, 17, 25797, {1, 1, 5, 13, 1, 11, 107, 41, 171, 773, 1513, 883, 2117, 14449, 32323, 58271, 97173}},
-{8758, 17, 25804, {1, 1, 3, 13, 27, 15, 123, 247, 281, 851, 233, 1173, 6863, 14805, 12401, 30729, 104127}},
-{8759, 17, 25809, {1, 1, 7, 11, 25, 9, 97, 215, 217, 51, 1865, 3897, 725, 4779, 21661, 11853, 72225}},
-{8760, 17, 25816, {1, 1, 5, 3, 5, 31, 125, 81, 367, 705, 325, 519, 3879, 5607, 3247, 7149, 33177}},
-{8761, 17, 25825, {1, 3, 3, 7, 17, 17, 19, 113, 331, 277, 317, 1893, 1287, 8965, 27523, 61355, 45331}},
-{8762, 17, 25831, {1, 3, 7, 9, 27, 15, 87, 21, 343, 479, 11, 2945, 1235, 1591, 28195, 40559, 42773}},
-{8763, 17, 25845, {1, 3, 3, 13, 1, 45, 115, 41, 263, 569, 71, 4051, 739, 1031, 19213, 23961, 110767}},
-{8764, 17, 25846, {1, 3, 7, 1, 9, 41, 21, 131, 3, 617, 191, 4051, 2445, 13451, 11889, 25075, 82631}},
-{8765, 17, 25867, {1, 3, 3, 15, 7, 55, 65, 67, 443, 1023, 1445, 1467, 3907, 11449, 2247, 65085, 102161}},
-{8766, 17, 25870, {1, 3, 5, 15, 19, 27, 97, 181, 51, 591, 99, 1443, 4927, 9809, 29693, 44293, 29369}},
-{8767, 17, 25897, {1, 1, 7, 7, 17, 59, 69, 163, 37, 171, 107, 2581, 3567, 9455, 19707, 6329, 27755}},
-{8768, 17, 25908, {1, 1, 1, 11, 15, 17, 83, 223, 183, 861, 1047, 3739, 3509, 5571, 28259, 42781, 130657}},
-{8769, 17, 25937, {1, 3, 3, 7, 15, 11, 33, 115, 297, 841, 1629, 1559, 2261, 11763, 22255, 63819, 55831}},
-{8770, 17, 25940, {1, 3, 3, 5, 19, 49, 17, 251, 507, 251, 805, 1041, 3947, 2219, 19977, 65449, 25031}},
-{8771, 17, 25944, {1, 1, 1, 11, 3, 7, 81, 17, 219, 729, 949, 3257, 6495, 4701, 2181, 7009, 106465}},
-{8772, 17, 25949, {1, 3, 7, 5, 27, 35, 15, 83, 43, 1013, 1427, 1943, 7555, 6613, 26879, 42685, 22071}},
-{8773, 17, 25954, {1, 1, 3, 13, 23, 55, 15, 87, 15, 579, 717, 777, 149, 11431, 26197, 17711, 7337}},
-{8774, 17, 25960, {1, 1, 5, 1, 31, 45, 113, 253, 211, 915, 1855, 4043, 2159, 1803, 5061, 40473, 3657}},
-{8775, 17, 25963, {1, 1, 3, 7, 25, 15, 37, 73, 467, 969, 1123, 4053, 4837, 10091, 25461, 40803, 91157}},
-{8776, 17, 25966, {1, 1, 5, 1, 7, 31, 77, 207, 21, 623, 577, 1195, 5839, 13013, 11189, 61691, 33327}},
-{8777, 17, 25978, {1, 3, 7, 7, 13, 3, 9, 55, 47, 779, 599, 3747, 1533, 14705, 23185, 4011, 36003}},
-{8778, 17, 25996, {1, 1, 5, 5, 31, 17, 99, 253, 103, 957, 241, 1893, 7435, 14907, 9089, 23205, 70639}},
-{8779, 17, 26007, {1, 3, 7, 15, 7, 55, 53, 101, 227, 541, 2017, 275, 577, 15621, 1799, 50373, 43197}},
-{8780, 17, 26011, {1, 3, 1, 15, 29, 23, 69, 193, 429, 359, 1045, 4091, 6551, 1673, 29113, 43247, 80993}},
-{8781, 17, 26027, {1, 3, 7, 11, 5, 37, 13, 27, 277, 65, 565, 2631, 6919, 5593, 8481, 14703, 9719}},
-{8782, 17, 26032, {1, 3, 1, 15, 5, 7, 83, 51, 77, 307, 1299, 1373, 5281, 15359, 15569, 50093, 59661}},
-{8783, 17, 26038, {1, 3, 5, 11, 13, 31, 99, 123, 263, 319, 2033, 4055, 2427, 103, 2009, 27517, 112467}},
-{8784, 17, 26049, {1, 1, 7, 3, 13, 1, 51, 131, 17, 861, 459, 3925, 5511, 5255, 28553, 36437, 54591}},
-{8785, 17, 26052, {1, 3, 7, 5, 9, 57, 49, 119, 291, 727, 1611, 4035, 4517, 10979, 28445, 26905, 57517}},
-{8786, 17, 26055, {1, 1, 5, 9, 9, 55, 43, 209, 411, 137, 1619, 3965, 5253, 8217, 7569, 42043, 104163}},
-{8787, 17, 26085, {1, 3, 3, 7, 21, 3, 107, 255, 353, 735, 71, 1789, 3351, 755, 22805, 53537, 126859}},
-{8788, 17, 26089, {1, 1, 7, 5, 15, 55, 13, 167, 165, 289, 1231, 2547, 8135, 5475, 2361, 49019, 110579}},
-{8789, 17, 26090, {1, 3, 1, 11, 17, 21, 59, 37, 177, 517, 499, 4035, 749, 14297, 22415, 54975, 29769}},
-{8790, 17, 26098, {1, 3, 7, 3, 3, 59, 55, 17, 483, 625, 875, 1465, 7583, 2969, 2741, 36965, 80367}},
-{8791, 17, 26104, {1, 1, 3, 13, 31, 5, 11, 149, 7, 297, 1485, 735, 4095, 10089, 5757, 64997, 56629}},
-{8792, 17, 26110, {1, 3, 1, 13, 19, 43, 77, 209, 309, 739, 1765, 3297, 8167, 6523, 27987, 25235, 80555}},
-{8793, 17, 26113, {1, 1, 3, 9, 31, 57, 125, 75, 3, 633, 85, 3339, 1691, 9721, 17465, 36801, 106147}},
-{8794, 17, 26126, {1, 3, 5, 15, 27, 7, 111, 7, 475, 523, 1825, 1367, 1549, 15533, 13827, 14471, 100271}},
-{8795, 17, 26133, {1, 1, 5, 3, 5, 61, 1, 221, 163, 183, 1701, 3549, 349, 10057, 26169, 20725, 55305}},
-{8796, 17, 26138, {1, 1, 3, 1, 15, 41, 13, 71, 269, 909, 1253, 2553, 83, 10055, 1057, 39841, 20437}},
-{8797, 17, 26140, {1, 3, 3, 5, 29, 39, 113, 23, 137, 601, 361, 1779, 279, 15803, 8993, 2633, 114847}},
-{8798, 17, 26156, {1, 1, 3, 7, 29, 45, 35, 27, 71, 253, 231, 3449, 1955, 9109, 9043, 50593, 15023}},
-{8799, 17, 26159, {1, 3, 1, 11, 17, 45, 85, 255, 341, 957, 769, 3009, 3997, 6435, 1161, 34219, 97077}},
-{8800, 17, 26176, {1, 1, 5, 1, 1, 19, 9, 51, 477, 129, 1411, 3223, 5069, 3237, 15947, 27215, 70401}},
-{8801, 17, 26186, {1, 1, 3, 1, 1, 1, 73, 31, 301, 227, 119, 607, 3379, 3907, 1263, 2651, 43769}},
-{8802, 17, 26203, {1, 1, 1, 15, 21, 59, 109, 155, 473, 361, 1871, 3085, 513, 12607, 12747, 41067, 44977}},
-{8803, 17, 26210, {1, 1, 7, 3, 27, 21, 89, 71, 437, 671, 1469, 2191, 4225, 6343, 1131, 29141, 25221}},
-{8804, 17, 26222, {1, 1, 7, 9, 7, 45, 95, 197, 391, 11, 1913, 3107, 5247, 959, 30395, 32809, 20893}},
-{8805, 17, 26224, {1, 3, 7, 15, 13, 49, 77, 245, 463, 769, 1807, 1311, 2715, 14819, 27595, 57521, 105221}},
-{8806, 17, 26229, {1, 1, 1, 5, 23, 45, 119, 77, 325, 405, 1631, 461, 6357, 7037, 31699, 46295, 118577}},
-{8807, 17, 26233, {1, 3, 5, 1, 21, 3, 31, 13, 7, 571, 633, 425, 6547, 3423, 19355, 49481, 76289}},
-{8808, 17, 26236, {1, 1, 3, 9, 7, 51, 113, 173, 169, 97, 1821, 979, 2553, 11505, 20047, 39277, 122905}},
-{8809, 17, 26239, {1, 1, 5, 13, 17, 9, 111, 205, 261, 671, 657, 507, 3903, 10767, 4387, 3045, 102617}},
-{8810, 17, 26267, {1, 1, 3, 3, 5, 11, 19, 61, 401, 605, 455, 2457, 4471, 7255, 18435, 49673, 97289}},
-{8811, 17, 26291, {1, 3, 1, 1, 31, 25, 77, 35, 65, 127, 929, 2325, 2315, 13819, 5509, 12515, 36991}},
-{8812, 17, 26293, {1, 1, 7, 5, 21, 49, 33, 119, 181, 645, 1425, 2411, 245, 13755, 18775, 50061, 47119}},
-{8813, 17, 26298, {1, 3, 7, 5, 27, 43, 81, 191, 233, 435, 829, 3881, 713, 11153, 4637, 37721, 115567}},
-{8814, 17, 26303, {1, 3, 7, 1, 27, 59, 51, 165, 59, 931, 1921, 3059, 6843, 813, 22063, 29445, 114765}},
-{8815, 17, 26308, {1, 1, 5, 11, 31, 53, 89, 69, 29, 893, 1241, 7, 1707, 16167, 8371, 14021, 103281}},
-{8816, 17, 26312, {1, 3, 1, 1, 23, 21, 3, 35, 73, 769, 1417, 4051, 3223, 813, 1141, 18823, 31951}},
-{8817, 17, 26315, {1, 3, 7, 11, 9, 17, 89, 85, 407, 137, 1865, 2881, 1495, 3757, 3711, 36651, 1797}},
-{8818, 17, 26342, {1, 3, 5, 1, 25, 29, 29, 217, 15, 173, 479, 2363, 2341, 6193, 16403, 64097, 1173}},
-{8819, 17, 26354, {1, 3, 3, 3, 11, 29, 113, 167, 333, 573, 1467, 2223, 5693, 1063, 20299, 40993, 69055}},
-{8820, 17, 26363, {1, 1, 3, 7, 3, 51, 45, 139, 79, 393, 1251, 1087, 1423, 1827, 23445, 41635, 78511}},
-{8821, 17, 26365, {1, 3, 3, 13, 29, 45, 85, 229, 33, 373, 113, 1205, 997, 11777, 7663, 18513, 5797}},
-{8822, 17, 26383, {1, 1, 5, 5, 15, 5, 127, 85, 49, 345, 901, 3215, 2347, 2329, 19597, 39555, 25031}},
-{8823, 17, 26391, {1, 1, 7, 11, 9, 25, 71, 183, 341, 1011, 439, 3649, 2859, 10183, 7635, 45297, 38581}},
-{8824, 17, 26398, {1, 1, 1, 11, 23, 13, 1, 69, 461, 77, 1641, 2851, 1889, 2413, 1131, 39009, 33773}},
-{8825, 17, 26416, {1, 3, 7, 7, 25, 19, 67, 233, 141, 207, 1501, 453, 4773, 7411, 22839, 25365, 53189}},
-{8826, 17, 26421, {1, 1, 7, 3, 3, 17, 13, 167, 73, 1005, 887, 2595, 4351, 3249, 5653, 36025, 33733}},
-{8827, 17, 26425, {1, 1, 7, 15, 11, 1, 105, 215, 329, 601, 1477, 723, 4597, 3525, 26235, 63957, 26677}},
-{8828, 17, 26434, {1, 1, 1, 11, 27, 15, 111, 133, 327, 567, 845, 2135, 7905, 7297, 29255, 14947, 104885}},
-{8829, 17, 26439, {1, 1, 7, 9, 21, 11, 67, 179, 459, 423, 295, 3445, 1681, 12907, 29281, 7445, 35539}},
-{8830, 17, 26453, {1, 1, 3, 11, 23, 61, 111, 123, 81, 439, 299, 3557, 2821, 705, 15393, 37175, 11533}},
-{8831, 17, 26454, {1, 1, 3, 1, 13, 15, 113, 227, 285, 313, 687, 2085, 6363, 8003, 32661, 36461, 68759}},
-{8832, 17, 26470, {1, 3, 3, 1, 27, 7, 101, 177, 363, 461, 1519, 2339, 473, 7469, 4335, 30951, 130987}},
-{8833, 17, 26491, {1, 1, 1, 3, 31, 39, 59, 159, 207, 93, 581, 1973, 945, 11343, 15901, 22001, 3515}},
-{8834, 17, 26493, {1, 3, 7, 5, 11, 53, 125, 57, 389, 985, 1055, 3803, 3879, 5537, 28221, 36805, 16025}},
-{8835, 17, 26500, {1, 1, 1, 9, 1, 63, 81, 57, 59, 813, 865, 3491, 3771, 6121, 6847, 14765, 68567}},
-{8836, 17, 26509, {1, 1, 7, 7, 13, 17, 23, 211, 435, 167, 933, 357, 3567, 3019, 28439, 17701, 119937}},
-{8837, 17, 26518, {1, 1, 1, 9, 7, 53, 103, 155, 211, 719, 413, 3673, 2795, 15687, 1737, 50855, 129133}},
-{8838, 17, 26531, {1, 1, 3, 13, 11, 23, 53, 121, 497, 383, 1655, 937, 5563, 2549, 23183, 46149, 78875}},
-{8839, 17, 26533, {1, 3, 5, 11, 25, 1, 45, 139, 437, 729, 2009, 3245, 4091, 551, 25993, 31655, 33641}},
-{8840, 17, 26540, {1, 3, 1, 13, 7, 23, 87, 111, 471, 501, 1767, 1051, 7037, 3199, 19609, 43227, 53667}},
-{8841, 17, 26552, {1, 3, 7, 1, 25, 1, 49, 189, 55, 375, 601, 2065, 2991, 7697, 25739, 14951, 43705}},
-{8842, 17, 26566, {1, 1, 7, 5, 29, 21, 51, 111, 81, 809, 1963, 2143, 5529, 15701, 4719, 11857, 88207}},
-{8843, 17, 26569, {1, 1, 5, 11, 27, 27, 7, 145, 281, 939, 537, 1255, 1475, 11383, 15081, 9105, 102775}},
-{8844, 17, 26583, {1, 1, 5, 7, 9, 45, 67, 23, 65, 139, 1871, 3975, 6357, 6515, 25423, 23915, 76289}},
-{8845, 17, 26590, {1, 1, 5, 11, 31, 31, 89, 65, 451, 341, 819, 2439, 6753, 15113, 9085, 32687, 5055}},
-{8846, 17, 26596, {1, 1, 5, 1, 15, 29, 123, 83, 495, 185, 303, 315, 6015, 5257, 2467, 4903, 78269}},
-{8847, 17, 26624, {1, 1, 3, 5, 31, 51, 49, 199, 501, 407, 733, 1181, 8023, 7321, 14765, 17535, 19893}},
-{8848, 17, 26636, {1, 1, 5, 5, 19, 15, 103, 183, 13, 969, 1537, 3053, 3173, 12983, 21761, 33733, 67799}},
-{8849, 17, 26667, {1, 3, 1, 1, 27, 55, 37, 149, 379, 11, 1655, 2317, 3135, 6459, 25941, 12679, 60245}},
-{8850, 17, 26669, {1, 1, 3, 9, 9, 13, 33, 243, 337, 741, 1685, 1147, 5465, 4865, 559, 23993, 47273}},
-{8851, 17, 26672, {1, 3, 5, 13, 21, 11, 39, 169, 135, 209, 1909, 3655, 3117, 1075, 8165, 54633, 28189}},
-{8852, 17, 26675, {1, 3, 1, 15, 9, 23, 11, 123, 63, 133, 947, 907, 3853, 10291, 22905, 4561, 92497}},
-{8853, 17, 26687, {1, 1, 3, 13, 17, 9, 5, 209, 429, 3, 2035, 1497, 6765, 5991, 24991, 8155, 103417}},
-{8854, 17, 26689, {1, 1, 5, 13, 27, 47, 79, 11, 41, 791, 1939, 3099, 4069, 4665, 20801, 18659, 72163}},
-{8855, 17, 26696, {1, 3, 1, 13, 25, 37, 79, 131, 233, 647, 291, 1419, 5157, 4261, 27715, 611, 83157}},
-{8856, 17, 26702, {1, 1, 5, 1, 17, 61, 45, 163, 137, 937, 91, 1695, 1553, 543, 28615, 6855, 75201}},
-{8857, 17, 26714, {1, 1, 3, 13, 7, 63, 109, 13, 351, 159, 1111, 2791, 4701, 5805, 9707, 18361, 98091}},
-{8858, 17, 26716, {1, 1, 3, 11, 11, 21, 55, 247, 111, 801, 93, 3091, 1043, 9761, 23679, 5555, 195}},
-{8859, 17, 26729, {1, 1, 1, 1, 13, 43, 123, 113, 265, 561, 659, 3755, 6605, 10949, 30511, 29495, 9075}},
-{8860, 17, 26732, {1, 3, 1, 7, 23, 63, 19, 73, 233, 1017, 851, 1971, 3999, 7407, 25309, 63991, 92867}},
-{8861, 17, 26737, {1, 3, 3, 3, 19, 63, 127, 107, 465, 463, 1507, 1323, 4729, 14717, 9129, 24859, 117565}},
-{8862, 17, 26747, {1, 1, 7, 1, 19, 11, 13, 85, 339, 939, 895, 887, 765, 15501, 8783, 65087, 77899}},
-{8863, 17, 26773, {1, 3, 7, 3, 7, 15, 43, 153, 365, 223, 1947, 2295, 787, 5549, 20089, 29203, 4807}},
-{8864, 17, 26780, {1, 3, 7, 3, 31, 27, 51, 217, 483, 623, 633, 2123, 1211, 9173, 17949, 54251, 89161}},
-{8865, 17, 26801, {1, 3, 3, 11, 3, 11, 111, 73, 283, 23, 1925, 253, 5141, 12545, 24913, 16847, 13067}},
-{8866, 17, 26811, {1, 3, 5, 5, 31, 39, 35, 235, 135, 85, 191, 999, 6633, 12527, 21401, 61339, 81239}},
-{8867, 17, 26813, {1, 1, 3, 15, 9, 13, 39, 125, 137, 639, 555, 813, 2821, 1199, 32075, 15079, 104609}},
-{8868, 17, 26831, {1, 3, 7, 7, 15, 43, 99, 51, 245, 25, 147, 89, 6841, 5523, 28493, 13967, 113109}},
-{8869, 17, 26836, {1, 1, 3, 13, 7, 5, 27, 121, 269, 231, 1011, 1365, 5055, 11619, 27393, 48033, 65725}},
-{8870, 17, 26839, {1, 1, 7, 5, 9, 23, 41, 71, 327, 339, 1681, 3303, 4143, 421, 15213, 48405, 98067}},
-{8871, 17, 26849, {1, 3, 7, 15, 15, 33, 73, 33, 351, 131, 1051, 3909, 7535, 7659, 9443, 35015, 329}},
-{8872, 17, 26862, {1, 1, 3, 9, 19, 55, 97, 223, 265, 877, 235, 867, 4961, 3137, 19885, 10955, 7655}},
-{8873, 17, 26869, {1, 3, 5, 13, 1, 11, 75, 215, 271, 793, 1691, 1437, 1317, 10977, 1311, 64865, 92361}},
-{8874, 17, 26873, {1, 1, 1, 5, 23, 23, 35, 53, 187, 345, 115, 929, 3919, 4523, 31709, 16771, 33399}},
-{8875, 17, 26874, {1, 3, 5, 11, 17, 7, 75, 57, 351, 359, 1737, 2665, 4259, 13905, 6999, 45359, 117891}},
-{8876, 17, 26888, {1, 1, 5, 3, 23, 29, 49, 209, 417, 843, 531, 1649, 7829, 6271, 3759, 39727, 47415}},
-{8877, 17, 26891, {1, 1, 7, 1, 21, 45, 101, 105, 385, 797, 985, 1447, 3757, 3287, 583, 29283, 96821}},
-{8878, 17, 26896, {1, 1, 7, 9, 1, 29, 15, 207, 289, 465, 815, 2289, 449, 9403, 19197, 13797, 102651}},
-{8879, 17, 26899, {1, 3, 7, 15, 5, 45, 81, 187, 21, 433, 679, 2759, 3375, 6935, 22595, 50149, 13557}},
-{8880, 17, 26912, {1, 3, 3, 5, 11, 55, 69, 219, 95, 21, 645, 1955, 7527, 6037, 29427, 36297, 62013}},
-{8881, 17, 26921, {1, 1, 7, 15, 13, 35, 25, 67, 383, 13, 539, 2399, 4611, 8065, 3815, 27771, 50411}},
-{8882, 17, 26935, {1, 3, 1, 3, 27, 47, 65, 33, 393, 895, 1663, 1289, 1057, 11887, 1259, 53611, 36811}},
-{8883, 17, 26941, {1, 3, 5, 3, 5, 1, 27, 65, 379, 15, 1643, 1461, 3009, 8177, 15589, 5889, 1103}},
-{8884, 17, 26949, {1, 1, 5, 15, 27, 53, 43, 173, 377, 665, 581, 1061, 1363, 15015, 26709, 29507, 28075}},
-{8885, 17, 26954, {1, 1, 7, 3, 9, 11, 45, 71, 23, 995, 1277, 855, 1001, 12927, 19753, 46639, 16949}},
-{8886, 17, 26967, {1, 1, 7, 5, 15, 33, 27, 27, 437, 415, 1785, 2091, 279, 8041, 2209, 15821, 122363}},
-{8887, 17, 26977, {1, 1, 7, 1, 21, 1, 47, 215, 463, 959, 849, 1703, 5175, 10043, 16991, 11023, 52201}},
-{8888, 17, 27011, {1, 1, 1, 11, 21, 7, 121, 31, 95, 631, 1717, 3017, 2083, 2047, 12051, 63117, 25949}},
-{8889, 17, 27018, {1, 1, 5, 5, 9, 5, 105, 121, 205, 643, 1721, 2601, 2991, 2381, 4873, 12049, 20043}},
-{8890, 17, 27026, {1, 3, 5, 11, 7, 11, 97, 187, 253, 571, 101, 3077, 1479, 9513, 15451, 37105, 34445}},
-{8891, 17, 27028, {1, 1, 7, 11, 19, 19, 39, 115, 221, 13, 217, 369, 6855, 14529, 143, 13461, 62927}},
-{8892, 17, 27032, {1, 3, 3, 7, 29, 27, 9, 171, 419, 571, 837, 3829, 1871, 12691, 30693, 4195, 38905}},
-{8893, 17, 27044, {1, 1, 1, 11, 5, 55, 17, 41, 241, 419, 337, 897, 4663, 14469, 18701, 18009, 44605}},
-{8894, 17, 27053, {1, 1, 7, 7, 1, 33, 63, 197, 257, 655, 1287, 2571, 57, 13275, 29669, 8501, 61389}},
-{8895, 17, 27062, {1, 3, 5, 3, 29, 39, 101, 215, 101, 271, 1373, 2171, 841, 9865, 28951, 20369, 42413}},
-{8896, 17, 27065, {1, 3, 5, 1, 31, 23, 119, 137, 263, 633, 1239, 281, 4965, 14913, 30229, 14147, 37183}},
-{8897, 17, 27068, {1, 3, 1, 3, 11, 55, 33, 45, 69, 913, 269, 1021, 4005, 15191, 11187, 45917, 76905}},
-{8898, 17, 27080, {1, 1, 1, 13, 27, 11, 75, 139, 243, 221, 1289, 2195, 7041, 10053, 5731, 35245, 41317}},
-{8899, 17, 27083, {1, 1, 7, 9, 25, 11, 81, 243, 233, 137, 831, 2825, 6007, 7305, 31733, 64343, 7047}},
-{8900, 17, 27093, {1, 3, 5, 9, 17, 61, 25, 245, 285, 969, 1397, 1331, 5393, 3653, 15533, 9121, 111115}},
-{8901, 17, 27098, {1, 1, 5, 9, 1, 9, 61, 205, 285, 849, 1071, 1013, 2655, 10121, 15165, 25189, 56207}},
-{8902, 17, 27107, {1, 3, 5, 7, 19, 45, 121, 19, 237, 711, 1523, 3251, 693, 13567, 31993, 11239, 64127}},
-{8903, 17, 27110, {1, 1, 1, 11, 23, 25, 33, 211, 321, 1021, 1855, 291, 2911, 11841, 21929, 64147, 63201}},
-{8904, 17, 27114, {1, 1, 7, 3, 27, 21, 119, 219, 431, 819, 83, 2487, 7533, 10697, 3129, 53301, 104999}},
-{8905, 17, 27121, {1, 3, 5, 15, 9, 25, 89, 65, 293, 411, 989, 3103, 5563, 15703, 8757, 32595, 43409}},
-{8906, 17, 27127, {1, 3, 3, 1, 31, 31, 45, 173, 231, 171, 1185, 1499, 1713, 9945, 11575, 37113, 103989}},
-{8907, 17, 27137, {1, 1, 5, 13, 27, 3, 93, 253, 23, 71, 1963, 2571, 6259, 15757, 9709, 42835, 42047}},
-{8908, 17, 27144, {1, 1, 7, 11, 5, 11, 123, 117, 39, 559, 111, 527, 6253, 781, 9177, 47189, 94031}},
-{8909, 17, 27155, {1, 1, 5, 15, 5, 49, 93, 185, 167, 787, 1553, 3291, 3723, 1651, 23225, 5643, 42967}},
-{8910, 17, 27171, {1, 3, 1, 13, 15, 35, 19, 193, 505, 127, 661, 1943, 1249, 5103, 8233, 64319, 76955}},
-{8911, 17, 27178, {1, 3, 7, 7, 17, 13, 97, 185, 415, 331, 283, 3341, 2903, 2927, 7729, 4095, 103083}},
-{8912, 17, 27180, {1, 1, 3, 15, 15, 25, 65, 45, 413, 521, 747, 2605, 5845, 12909, 7651, 45937, 99043}},
-{8913, 17, 27185, {1, 1, 5, 9, 9, 21, 3, 75, 335, 745, 1493, 1721, 1977, 11105, 22621, 49281, 107113}},
-{8914, 17, 27191, {1, 3, 1, 11, 25, 11, 99, 53, 239, 831, 655, 615, 7565, 14039, 29115, 26165, 127159}},
-{8915, 17, 27192, {1, 1, 7, 5, 31, 35, 75, 157, 441, 815, 119, 565, 2703, 14059, 7867, 42487, 93647}},
-{8916, 17, 27195, {1, 3, 7, 3, 3, 59, 101, 223, 257, 989, 363, 1059, 5157, 11129, 1481, 19287, 117623}},
-{8917, 17, 27212, {1, 1, 1, 1, 29, 27, 1, 129, 253, 673, 103, 1881, 7053, 1261, 32003, 23345, 102503}},
-{8918, 17, 27215, {1, 3, 1, 9, 11, 37, 3, 99, 303, 519, 1175, 3021, 2275, 9919, 25011, 45865, 71351}},
-{8919, 17, 27218, {1, 1, 7, 15, 27, 9, 107, 61, 385, 21, 861, 2119, 4643, 8379, 25455, 22425, 113387}},
-{8920, 17, 27230, {1, 1, 1, 7, 27, 15, 73, 211, 497, 527, 873, 329, 2213, 415, 13987, 56581, 27829}},
-{8921, 17, 27234, {1, 3, 5, 1, 31, 43, 107, 149, 209, 211, 2029, 2793, 2213, 12389, 27177, 51375, 51983}},
-{8922, 17, 27245, {1, 3, 3, 7, 25, 57, 67, 101, 127, 43, 1775, 801, 3343, 12203, 8667, 58387, 10735}},
-{8923, 17, 27248, {1, 1, 7, 5, 13, 47, 101, 123, 133, 593, 1409, 3525, 2545, 13009, 11873, 38463, 1075}},
-{8924, 17, 27263, {1, 3, 3, 1, 3, 19, 75, 221, 157, 67, 397, 1141, 5073, 10795, 9857, 35459, 62701}},
-{8925, 17, 27279, {1, 1, 7, 7, 23, 17, 41, 179, 83, 543, 1839, 3709, 131, 15681, 9147, 18685, 90389}},
-{8926, 17, 27288, {1, 1, 5, 7, 17, 15, 31, 217, 79, 687, 1927, 2889, 6127, 15095, 28437, 16403, 123275}},
-{8927, 17, 27294, {1, 3, 7, 15, 13, 17, 123, 75, 45, 635, 525, 3897, 6769, 13855, 16695, 18039, 37479}},
-{8928, 17, 27303, {1, 1, 5, 1, 23, 15, 69, 161, 503, 339, 1061, 839, 9, 10013, 24493, 32711, 50147}},
-{8929, 17, 27304, {1, 3, 3, 11, 5, 45, 9, 233, 131, 629, 1111, 3311, 2211, 9079, 19763, 23793, 85389}},
-{8930, 17, 27312, {1, 1, 7, 7, 7, 27, 15, 85, 291, 925, 1545, 3061, 4867, 1613, 13467, 53731, 92811}},
-{8931, 17, 27330, {1, 3, 5, 1, 21, 21, 71, 33, 141, 675, 1519, 3275, 1491, 10717, 28199, 14983, 18961}},
-{8932, 17, 27341, {1, 3, 5, 5, 31, 13, 109, 239, 369, 373, 257, 3765, 2531, 13281, 11877, 29439, 106939}},
-{8933, 17, 27342, {1, 3, 7, 15, 13, 39, 111, 203, 109, 179, 789, 3849, 433, 5745, 2343, 15795, 92603}},
-{8934, 17, 27344, {1, 3, 5, 5, 11, 57, 3, 245, 289, 249, 713, 315, 2261, 1249, 6963, 44507, 100829}},
-{8935, 17, 27353, {1, 3, 5, 11, 5, 49, 97, 245, 363, 315, 509, 17, 4485, 15393, 28491, 17945, 65663}},
-{8936, 17, 27356, {1, 3, 5, 1, 5, 13, 15, 17, 141, 119, 1393, 581, 2439, 2015, 11527, 8537, 103005}},
-{8937, 17, 27366, {1, 3, 5, 1, 25, 9, 117, 25, 99, 777, 985, 1159, 99, 3013, 21429, 19027, 61833}},
-{8938, 17, 27369, {1, 1, 1, 5, 1, 47, 37, 83, 159, 29, 281, 3789, 2525, 15999, 8965, 11145, 14453}},
-{8939, 17, 27377, {1, 1, 3, 1, 11, 63, 77, 207, 267, 473, 241, 629, 6969, 9093, 839, 3875, 18873}},
-{8940, 17, 27387, {1, 3, 5, 7, 31, 57, 103, 65, 349, 321, 717, 2403, 105, 643, 27999, 2509, 123061}},
-{8941, 17, 27409, {1, 1, 5, 7, 3, 31, 7, 113, 17, 995, 1211, 1749, 6757, 3391, 8011, 47715, 24301}},
-{8942, 17, 27437, {1, 3, 7, 11, 7, 55, 29, 155, 373, 81, 1255, 2205, 3233, 9537, 22129, 24505, 79021}},
-{8943, 17, 27443, {1, 1, 7, 5, 3, 49, 5, 51, 89, 107, 585, 3933, 745, 11685, 20663, 12521, 24357}},
-{8944, 17, 27446, {1, 1, 7, 1, 17, 17, 83, 215, 357, 581, 2025, 3411, 7287, 11925, 2253, 43513, 98655}},
-{8945, 17, 27450, {1, 3, 5, 3, 27, 27, 51, 147, 471, 509, 423, 3807, 677, 8429, 581, 47999, 35913}},
-{8946, 17, 27452, {1, 3, 3, 9, 15, 31, 1, 93, 207, 759, 1991, 473, 2273, 43, 12547, 58085, 20953}},
-{8947, 17, 27457, {1, 1, 3, 3, 1, 27, 39, 219, 381, 187, 159, 2333, 6141, 3775, 5693, 14853, 38765}},
-{8948, 17, 27472, {1, 3, 1, 5, 19, 1, 19, 237, 231, 975, 1609, 723, 241, 10105, 18817, 58373, 118889}},
-{8949, 17, 27475, {1, 1, 5, 7, 7, 43, 99, 181, 109, 529, 421, 1493, 1075, 12219, 24287, 33479, 29987}},
-{8950, 17, 27487, {1, 1, 7, 1, 17, 11, 79, 85, 157, 851, 1429, 3355, 139, 14327, 30025, 60303, 109015}},
-{8951, 17, 27488, {1, 3, 5, 9, 11, 15, 37, 79, 5, 169, 999, 815, 6255, 11763, 16299, 49891, 101917}},
-{8952, 17, 27493, {1, 3, 5, 9, 29, 45, 51, 211, 159, 771, 1631, 2871, 4877, 4941, 18127, 15669, 57515}},
-{8953, 17, 27506, {1, 1, 3, 3, 19, 29, 9, 205, 253, 399, 303, 2441, 3187, 641, 23341, 52951, 57559}},
-{8954, 17, 27508, {1, 3, 3, 15, 11, 29, 121, 227, 69, 935, 365, 217, 4617, 13193, 27663, 46903, 107843}},
-{8955, 17, 27521, {1, 1, 5, 11, 13, 31, 13, 243, 275, 685, 1613, 1915, 2775, 11225, 4729, 45549, 103875}},
-{8956, 17, 27522, {1, 1, 5, 1, 9, 61, 35, 143, 165, 441, 517, 1735, 5281, 10139, 21107, 11713, 130483}},
-{8957, 17, 27527, {1, 3, 5, 5, 13, 21, 7, 219, 97, 887, 1845, 469, 2523, 1569, 9959, 4397, 15823}},
-{8958, 17, 27536, {1, 3, 7, 11, 15, 27, 73, 223, 365, 939, 331, 145, 683, 6441, 23421, 59177, 31763}},
-{8959, 17, 27539, {1, 3, 1, 5, 9, 59, 85, 113, 343, 831, 121, 3157, 6059, 14923, 27401, 19759, 14223}},
-{8960, 17, 27541, {1, 3, 1, 7, 17, 25, 3, 39, 471, 759, 2041, 609, 4293, 7491, 8041, 50857, 25601}},
-{8961, 17, 27546, {1, 1, 5, 15, 19, 45, 21, 5, 269, 197, 527, 1839, 1719, 15105, 18671, 42167, 9617}},
-{8962, 17, 27557, {1, 3, 1, 3, 5, 35, 3, 105, 395, 113, 1945, 3945, 3951, 12207, 32135, 34121, 10237}},
-{8963, 17, 27564, {1, 1, 5, 13, 21, 43, 51, 255, 57, 399, 1937, 1573, 363, 11589, 26989, 54345, 94341}},
-{8964, 17, 27572, {1, 3, 3, 3, 5, 45, 83, 125, 179, 923, 39, 3617, 7683, 8191, 31469, 23633, 79179}},
-{8965, 17, 27576, {1, 3, 7, 9, 9, 37, 107, 65, 423, 77, 1779, 1375, 2085, 11779, 6535, 2973, 29425}},
-{8966, 17, 27584, {1, 1, 7, 3, 11, 39, 101, 137, 407, 855, 1767, 1717, 2821, 10447, 31187, 6329, 124111}},
-{8967, 17, 27608, {1, 1, 5, 11, 27, 27, 45, 103, 225, 681, 725, 1791, 2881, 2923, 14473, 12269, 58743}},
-{8968, 17, 27611, {1, 1, 3, 11, 15, 39, 113, 167, 143, 677, 1189, 1571, 5339, 6065, 30187, 19639, 42227}},
-{8969, 17, 27618, {1, 1, 1, 3, 13, 7, 113, 75, 129, 619, 1741, 1495, 4751, 11085, 22391, 199, 105463}},
-{8970, 17, 27620, {1, 1, 3, 3, 19, 47, 77, 195, 209, 453, 495, 1605, 5255, 15327, 8941, 18239, 54511}},
-{8971, 17, 27627, {1, 1, 7, 7, 21, 29, 95, 175, 3, 689, 611, 2467, 6919, 12399, 18869, 16171, 102753}},
-{8972, 17, 27630, {1, 1, 5, 1, 27, 43, 61, 133, 37, 603, 315, 1915, 813, 15769, 27447, 29589, 122281}},
-{8973, 17, 27637, {1, 1, 7, 3, 11, 1, 119, 235, 93, 481, 1811, 1643, 4853, 11313, 8991, 6153, 68985}},
-{8974, 17, 27638, {1, 1, 1, 7, 1, 13, 99, 83, 221, 775, 1345, 219, 4445, 11837, 10405, 43563, 122111}},
-{8975, 17, 27641, {1, 1, 5, 13, 21, 33, 105, 19, 343, 571, 703, 429, 2485, 15531, 9801, 24101, 88275}},
-{8976, 17, 27647, {1, 3, 5, 1, 27, 55, 73, 49, 33, 773, 1411, 1227, 6827, 1271, 28897, 24265, 32383}},
-{8977, 17, 27650, {1, 3, 7, 3, 9, 45, 59, 5, 157, 669, 261, 2077, 1425, 8221, 5849, 40857, 121029}},
-{8978, 17, 27676, {1, 3, 7, 11, 23, 5, 87, 113, 279, 611, 1195, 1775, 5813, 6737, 18051, 41341, 93331}},
-{8979, 17, 27683, {1, 1, 7, 7, 9, 55, 113, 3, 167, 295, 1579, 2833, 4003, 7583, 22833, 44427, 34781}},
-{8980, 17, 27690, {1, 1, 5, 13, 21, 33, 127, 175, 153, 961, 819, 143, 3969, 6159, 29437, 14123, 65317}},
-{8981, 17, 27695, {1, 1, 1, 15, 31, 27, 1, 17, 329, 963, 1907, 421, 535, 2323, 22749, 44375, 115531}},
-{8982, 17, 27700, {1, 1, 5, 15, 15, 23, 57, 171, 253, 401, 1577, 3855, 197, 7979, 17577, 25275, 88831}},
-{8983, 17, 27704, {1, 1, 7, 9, 27, 9, 7, 13, 381, 847, 533, 357, 6551, 13441, 5717, 20209, 64347}},
-{8984, 17, 27709, {1, 1, 7, 9, 1, 1, 31, 245, 315, 901, 1857, 497, 4285, 13227, 3937, 45025, 59627}},
-{8985, 17, 27715, {1, 1, 7, 3, 5, 23, 119, 147, 479, 71, 113, 3379, 863, 8285, 31259, 15863, 47267}},
-{8986, 17, 27727, {1, 3, 5, 1, 5, 7, 77, 163, 421, 353, 1757, 1335, 4975, 3011, 11703, 56075, 12045}},
-{8987, 17, 27745, {1, 1, 5, 3, 31, 25, 81, 59, 211, 463, 1693, 609, 3307, 3641, 19643, 29361, 8399}},
-{8988, 17, 27763, {1, 1, 7, 13, 19, 47, 43, 43, 275, 735, 535, 3689, 3987, 10695, 17243, 60565, 72299}},
-{8989, 17, 27769, {1, 3, 3, 5, 25, 35, 75, 63, 305, 127, 189, 1785, 731, 12089, 27811, 43259, 28191}},
-{8990, 17, 27770, {1, 3, 7, 11, 17, 17, 59, 107, 139, 355, 1055, 3181, 4743, 14785, 26323, 441, 35613}},
-{8991, 17, 27796, {1, 3, 1, 1, 17, 17, 39, 203, 373, 601, 449, 1837, 835, 7061, 14655, 61765, 80735}},
-{8992, 17, 27810, {1, 3, 5, 7, 27, 17, 25, 41, 125, 895, 1843, 3167, 1527, 4707, 6477, 33575, 97247}},
-{8993, 17, 27812, {1, 3, 3, 3, 13, 39, 25, 15, 279, 347, 1121, 3603, 3019, 9577, 16863, 61483, 15995}},
-{8994, 17, 27834, {1, 3, 5, 11, 15, 33, 15, 81, 185, 289, 909, 1237, 3623, 3983, 24211, 62719, 79685}},
-{8995, 17, 27847, {1, 1, 1, 7, 29, 1, 53, 17, 137, 269, 1209, 3937, 4167, 14057, 8061, 38863, 101477}},
-{8996, 17, 27848, {1, 1, 1, 9, 5, 45, 95, 127, 507, 159, 1763, 1527, 5689, 11007, 549, 22837, 99207}},
-{8997, 17, 27862, {1, 3, 3, 1, 15, 57, 127, 39, 73, 397, 67, 3159, 119, 8929, 29425, 57687, 68063}},
-{8998, 17, 27868, {1, 3, 1, 3, 27, 7, 111, 209, 291, 17, 1381, 1597, 5389, 4577, 20463, 28325, 23743}},
-{8999, 17, 27881, {1, 3, 3, 7, 23, 41, 83, 81, 213, 537, 1037, 2371, 1485, 8391, 12471, 58541, 27559}},
-{9000, 17, 27884, {1, 3, 1, 15, 21, 43, 87, 75, 451, 851, 1917, 2739, 2167, 12531, 29931, 8017, 15163}},
-{9001, 17, 27890, {1, 1, 3, 9, 27, 19, 41, 145, 401, 759, 527, 3085, 187, 10615, 4995, 22421, 69867}},
-{9002, 17, 27895, {1, 3, 3, 13, 29, 51, 65, 47, 157, 609, 1061, 1913, 6195, 12503, 10375, 55819, 122091}},
-{9003, 17, 27904, {1, 1, 3, 7, 1, 19, 3, 149, 453, 279, 569, 3429, 331, 711, 26773, 21163, 129339}},
-{9004, 17, 27914, {1, 1, 5, 3, 7, 47, 39, 181, 115, 771, 2037, 411, 2697, 7501, 6393, 19461, 74967}},
-{9005, 17, 27919, {1, 3, 3, 5, 5, 17, 89, 161, 409, 49, 1447, 3977, 4777, 15553, 3521, 32553, 126385}},
-{9006, 17, 27921, {1, 3, 1, 3, 25, 59, 73, 105, 505, 1009, 1147, 317, 3457, 13743, 8337, 38077, 7709}},
-{9007, 17, 27931, {1, 3, 3, 15, 23, 37, 25, 123, 413, 911, 637, 2345, 691, 15199, 22927, 52467, 126715}},
-{9008, 17, 27933, {1, 1, 5, 1, 9, 51, 93, 123, 269, 45, 1947, 179, 5091, 3743, 31491, 39771, 119175}},
-{9009, 17, 27938, {1, 3, 1, 5, 29, 23, 107, 183, 25, 115, 187, 857, 7337, 469, 8755, 17281, 45941}},
-{9010, 17, 27943, {1, 3, 1, 13, 25, 61, 85, 115, 181, 955, 1365, 837, 5941, 13209, 27009, 58865, 115149}},
-{9011, 17, 27949, {1, 1, 1, 11, 31, 63, 101, 29, 37, 185, 465, 2651, 6249, 6887, 25021, 60539, 50037}},
-{9012, 17, 28005, {1, 3, 1, 7, 7, 61, 57, 243, 143, 223, 1759, 4085, 6765, 13293, 31929, 29579, 35053}},
-{9013, 17, 28012, {1, 3, 1, 3, 29, 9, 121, 3, 285, 199, 1439, 3151, 5059, 8535, 17049, 38917, 46347}},
-{9014, 17, 28017, {1, 3, 1, 3, 17, 43, 63, 87, 427, 341, 1251, 3775, 7729, 3183, 10579, 917, 49035}},
-{9015, 17, 28024, {1, 1, 7, 3, 5, 59, 119, 227, 495, 345, 841, 2021, 2483, 15987, 24663, 9819, 33009}},
-{9016, 17, 28030, {1, 1, 5, 11, 19, 57, 23, 181, 63, 991, 1, 2927, 4785, 9645, 17435, 55627, 1069}},
-{9017, 17, 28034, {1, 1, 7, 1, 31, 11, 57, 123, 279, 815, 1407, 3509, 3963, 8503, 20345, 7777, 103701}},
-{9018, 17, 28045, {1, 1, 5, 5, 19, 51, 37, 15, 363, 939, 1863, 3485, 7073, 3035, 31279, 7289, 39811}},
-{9019, 17, 28048, {1, 1, 3, 3, 3, 41, 29, 37, 311, 535, 1993, 3937, 309, 13055, 22595, 59641, 95317}},
-{9020, 17, 28054, {1, 3, 7, 9, 19, 29, 23, 181, 503, 223, 1655, 997, 7861, 5867, 16979, 4559, 7447}},
-{9021, 17, 28063, {1, 3, 5, 3, 13, 13, 3, 137, 361, 101, 1005, 2339, 609, 11891, 15245, 9653, 63579}},
-{9022, 17, 28069, {1, 1, 1, 15, 31, 15, 117, 151, 51, 805, 1403, 3243, 4007, 11979, 3945, 61935, 43225}},
-{9023, 17, 28070, {1, 1, 7, 3, 1, 43, 93, 105, 9, 555, 731, 655, 2097, 8015, 27557, 27985, 11323}},
-{9024, 17, 28073, {1, 3, 3, 9, 23, 35, 59, 217, 437, 755, 685, 1431, 2965, 5269, 25621, 21735, 1397}},
-{9025, 17, 28084, {1, 1, 5, 1, 9, 61, 41, 53, 101, 111, 531, 3385, 4771, 9535, 15995, 29687, 99035}},
-{9026, 17, 28096, {1, 1, 7, 7, 1, 3, 25, 251, 463, 99, 677, 1889, 3697, 5579, 11429, 38301, 57917}},
-{9027, 17, 28114, {1, 1, 5, 9, 11, 15, 65, 31, 369, 825, 1229, 1595, 3891, 5235, 16973, 25307, 7805}},
-{9028, 17, 28126, {1, 3, 7, 15, 27, 37, 35, 103, 393, 781, 1713, 2009, 1973, 15461, 6801, 17557, 105139}},
-{9029, 17, 28141, {1, 3, 7, 7, 17, 51, 83, 29, 113, 173, 1733, 2137, 3041, 11361, 15999, 25779, 112493}},
-{9030, 17, 28149, {1, 3, 5, 11, 19, 3, 89, 103, 449, 375, 437, 4077, 889, 12163, 29323, 48845, 7783}},
-{9031, 17, 28165, {1, 3, 7, 1, 19, 25, 83, 35, 203, 27, 507, 25, 6629, 13941, 6187, 17533, 83349}},
-{9032, 17, 28177, {1, 3, 5, 9, 15, 59, 3, 87, 473, 733, 1263, 1733, 4275, 9283, 32535, 20807, 59487}},
-{9033, 17, 28189, {1, 3, 3, 9, 19, 11, 27, 83, 355, 949, 1339, 171, 921, 14171, 16271, 41485, 20405}},
-{9034, 17, 28190, {1, 1, 3, 11, 25, 51, 9, 241, 367, 519, 1895, 429, 7689, 9469, 32709, 46363, 75767}},
-{9035, 17, 28203, {1, 1, 7, 7, 27, 59, 85, 87, 467, 273, 1763, 391, 451, 16165, 7501, 44779, 68281}},
-{9036, 17, 28206, {1, 1, 7, 5, 1, 35, 5, 217, 31, 145, 1151, 2255, 3543, 401, 17141, 5981, 25183}},
-{9037, 17, 28208, {1, 1, 1, 13, 11, 11, 19, 93, 95, 751, 31, 1091, 2733, 10517, 2553, 5247, 42651}},
-{9038, 17, 28220, {1, 3, 7, 5, 15, 1, 67, 21, 303, 137, 355, 1989, 5211, 4985, 645, 6867, 126931}},
-{9039, 17, 28226, {1, 1, 3, 15, 21, 23, 59, 209, 121, 623, 575, 2447, 6149, 10481, 4959, 22913, 64963}},
-{9040, 17, 28231, {1, 3, 1, 1, 25, 55, 47, 95, 215, 609, 639, 1023, 1579, 5953, 3063, 13721, 17607}},
-{9041, 17, 28249, {1, 1, 1, 11, 7, 61, 127, 173, 307, 623, 453, 3827, 4847, 16085, 4407, 4043, 14881}},
-{9042, 17, 28256, {1, 1, 7, 11, 5, 15, 51, 125, 439, 795, 203, 91, 3543, 6925, 32055, 52277, 26841}},
-{9043, 17, 28259, {1, 1, 1, 13, 15, 9, 107, 183, 391, 751, 243, 1105, 8031, 7443, 137, 45695, 80163}},
-{9044, 17, 28265, {1, 3, 5, 9, 5, 61, 117, 113, 121, 291, 225, 1705, 4017, 13113, 11035, 28613, 25927}},
-{9045, 17, 28266, {1, 1, 3, 11, 27, 9, 45, 85, 309, 991, 1639, 1183, 8013, 14587, 7563, 21111, 48497}},
-{9046, 17, 28271, {1, 3, 1, 9, 21, 61, 123, 189, 265, 593, 163, 3681, 2271, 2795, 753, 48019, 129507}},
-{9047, 17, 28274, {1, 1, 1, 5, 31, 51, 127, 79, 333, 177, 1723, 1365, 2055, 3063, 10693, 61223, 60659}},
-{9048, 17, 28280, {1, 3, 7, 15, 9, 11, 11, 223, 31, 397, 319, 3283, 3765, 4729, 4711, 58323, 114063}},
-{9049, 17, 28296, {1, 1, 7, 11, 7, 63, 107, 215, 19, 491, 131, 2491, 6373, 11081, 2159, 1311, 109547}},
-{9050, 17, 28316, {1, 3, 5, 5, 21, 13, 105, 21, 193, 447, 1331, 2439, 4165, 15689, 21273, 4007, 55161}},
-{9051, 17, 28319, {1, 3, 5, 11, 19, 47, 25, 211, 335, 437, 1041, 2093, 7239, 2869, 18273, 40505, 13681}},
-{9052, 17, 28343, {1, 3, 3, 15, 7, 13, 127, 59, 439, 163, 1841, 1945, 4915, 16269, 18315, 15057, 43197}},
-{9053, 17, 28344, {1, 1, 3, 3, 15, 33, 101, 241, 131, 353, 1749, 3965, 1231, 8167, 9309, 40337, 4419}},
-{9054, 17, 28357, {1, 3, 1, 1, 1, 43, 33, 129, 137, 889, 799, 2937, 3633, 4769, 2411, 56059, 585}},
-{9055, 17, 28358, {1, 1, 3, 9, 25, 31, 45, 199, 229, 175, 1099, 1143, 1721, 11811, 22757, 59843, 117813}},
-{9056, 17, 28364, {1, 1, 7, 7, 19, 45, 43, 101, 219, 209, 1169, 599, 5523, 2463, 15161, 16675, 85111}},
-{9057, 17, 28370, {1, 1, 3, 15, 23, 27, 91, 51, 397, 705, 651, 2345, 3875, 10005, 29523, 42805, 76891}},
-{9058, 17, 28372, {1, 3, 3, 5, 29, 49, 17, 233, 149, 821, 1953, 1931, 7127, 957, 6477, 21259, 126657}},
-{9059, 17, 28379, {1, 3, 3, 3, 27, 49, 57, 145, 143, 1, 583, 3987, 651, 12285, 20139, 51063, 21449}},
-{9060, 17, 28388, {1, 1, 3, 5, 29, 61, 41, 93, 277, 111, 395, 2929, 5325, 15183, 3981, 23799, 72781}},
-{9061, 17, 28392, {1, 1, 7, 5, 25, 43, 85, 137, 401, 261, 1183, 3959, 1983, 16209, 30523, 429, 109181}},
-{9062, 17, 28395, {1, 1, 1, 5, 7, 19, 79, 237, 373, 929, 907, 1771, 6991, 211, 5269, 2135, 32051}},
-{9063, 17, 28406, {1, 1, 7, 5, 17, 15, 41, 49, 363, 15, 1483, 1017, 2439, 11713, 19983, 26275, 11945}},
-{9064, 17, 28418, {1, 1, 7, 7, 19, 5, 55, 15, 15, 573, 1075, 3225, 6815, 11893, 18417, 50833, 71903}},
-{9065, 17, 28423, {1, 1, 7, 9, 23, 37, 75, 3, 477, 291, 37, 1861, 2697, 13369, 24573, 27285, 96757}},
-{9066, 17, 28435, {1, 1, 1, 13, 5, 29, 65, 195, 365, 465, 865, 2705, 5249, 7051, 3795, 56611, 72317}},
-{9067, 17, 28444, {1, 1, 3, 9, 19, 9, 85, 239, 509, 313, 1137, 2221, 5475, 71, 11901, 1877, 68701}},
-{9068, 17, 28454, {1, 3, 3, 7, 3, 53, 55, 223, 441, 159, 933, 2573, 3441, 3295, 25005, 29021, 97145}},
-{9069, 17, 28468, {1, 3, 5, 5, 3, 11, 101, 181, 293, 319, 47, 2971, 387, 4697, 26613, 8531, 20461}},
-{9070, 17, 28477, {1, 3, 3, 13, 17, 11, 41, 233, 455, 353, 1817, 3065, 4657, 1717, 3039, 10937, 107085}},
-{9071, 17, 28478, {1, 1, 7, 1, 17, 23, 85, 5, 291, 725, 1791, 3525, 7705, 6561, 25311, 44679, 21419}},
-{9072, 17, 28480, {1, 1, 7, 1, 23, 41, 97, 117, 435, 261, 2007, 965, 6913, 12245, 25723, 8445, 30871}},
-{9073, 17, 28486, {1, 1, 1, 15, 29, 39, 101, 33, 55, 1019, 1431, 2601, 3837, 14873, 11785, 12449, 30815}},
-{9074, 17, 28489, {1, 1, 5, 3, 15, 35, 101, 7, 479, 535, 1875, 2435, 1461, 13967, 2755, 45879, 93561}},
-{9075, 17, 28500, {1, 3, 1, 5, 29, 57, 89, 209, 473, 289, 1843, 2051, 3997, 1753, 18179, 41355, 89301}},
-{9076, 17, 28507, {1, 3, 1, 11, 17, 45, 47, 57, 109, 309, 1009, 653, 5175, 15599, 21617, 35353, 55253}},
-{9077, 17, 28519, {1, 3, 5, 3, 1, 11, 57, 83, 385, 765, 1887, 785, 2115, 8689, 14783, 14841, 122221}},
-{9078, 17, 28523, {1, 3, 5, 11, 11, 5, 77, 115, 189, 371, 887, 3653, 8159, 15737, 6763, 52807, 128841}},
-{9079, 17, 28534, {1, 1, 1, 11, 11, 33, 9, 145, 439, 565, 171, 3867, 7149, 4369, 15073, 3277, 25873}},
-{9080, 17, 28547, {1, 1, 3, 1, 11, 9, 17, 255, 129, 835, 1705, 1551, 877, 4831, 12717, 2549, 62723}},
-{9081, 17, 28549, {1, 1, 7, 11, 17, 33, 21, 195, 143, 153, 1855, 1323, 1225, 16359, 16479, 8883, 76449}},
-{9082, 17, 28562, {1, 1, 1, 5, 31, 23, 61, 53, 77, 465, 1983, 4019, 4865, 14721, 18601, 48179, 100453}},
-{9083, 17, 28571, {1, 3, 1, 13, 19, 53, 83, 63, 165, 393, 469, 1465, 2669, 10155, 7029, 26185, 121223}},
-{9084, 17, 28583, {1, 1, 1, 3, 3, 3, 123, 23, 45, 359, 1063, 847, 3943, 6113, 23749, 30323, 10583}},
-{9085, 17, 28584, {1, 3, 5, 15, 1, 55, 65, 149, 139, 217, 141, 2425, 7019, 14127, 11725, 50821, 52643}},
-{9086, 17, 28595, {1, 3, 5, 15, 13, 13, 15, 93, 457, 869, 117, 585, 7159, 5957, 15073, 21861, 118119}},
-{9087, 17, 28597, {1, 3, 1, 15, 3, 31, 29, 245, 47, 895, 197, 1169, 945, 11503, 26615, 14079, 27175}},
-{9088, 17, 28604, {1, 3, 5, 5, 31, 1, 107, 109, 253, 999, 1451, 2243, 6675, 10779, 26181, 64597, 16443}},
-{9089, 17, 28607, {1, 3, 7, 15, 9, 53, 25, 41, 151, 197, 1955, 2365, 5305, 2901, 24825, 9595, 57377}},
-{9090, 17, 28609, {1, 3, 1, 3, 25, 37, 37, 193, 417, 373, 1127, 3239, 4583, 2861, 14501, 64163, 30055}},
-{9091, 17, 28612, {1, 3, 7, 9, 7, 21, 49, 231, 241, 95, 1757, 2281, 2679, 1611, 11115, 31743, 26851}},
-{9092, 17, 28630, {1, 3, 5, 5, 1, 1, 23, 173, 195, 593, 1639, 1449, 4733, 2451, 12677, 31959, 128217}},
-{9093, 17, 28640, {1, 1, 1, 7, 17, 49, 117, 253, 167, 721, 889, 3027, 7781, 13521, 15477, 17981, 95487}},
-{9094, 17, 28669, {1, 1, 1, 15, 13, 47, 125, 9, 33, 567, 1733, 1263, 307, 10285, 6325, 55827, 39823}},
-{9095, 17, 28677, {1, 1, 1, 15, 23, 3, 11, 169, 369, 667, 313, 2287, 6655, 16067, 5915, 8605, 92177}},
-{9096, 17, 28682, {1, 3, 3, 15, 13, 21, 125, 111, 171, 785, 79, 2281, 1247, 11321, 30397, 28555, 84863}},
-{9097, 17, 28690, {1, 1, 5, 13, 1, 31, 123, 97, 127, 245, 1213, 2381, 3545, 13545, 28657, 54087, 79039}},
-{9098, 17, 28695, {1, 1, 7, 9, 9, 21, 87, 111, 27, 33, 843, 199, 1465, 6555, 8019, 39521, 98883}},
-{9099, 17, 28696, {1, 3, 3, 5, 5, 55, 61, 219, 279, 207, 1811, 667, 2989, 3133, 25213, 51979, 87695}},
-{9100, 17, 28717, {1, 1, 7, 3, 17, 11, 31, 97, 277, 385, 229, 3045, 557, 13521, 32733, 36831, 43003}},
-{9101, 17, 28730, {1, 3, 5, 13, 27, 57, 31, 207, 147, 405, 1495, 2471, 4889, 14861, 4861, 28185, 62363}},
-{9102, 17, 28737, {1, 1, 5, 13, 23, 19, 5, 21, 509, 299, 1077, 1747, 6229, 2375, 17903, 58473, 72637}},
-{9103, 17, 28752, {1, 3, 7, 11, 15, 61, 63, 165, 27, 461, 1359, 3375, 3029, 9907, 17393, 11097, 43593}},
-{9104, 17, 28761, {1, 3, 5, 1, 17, 29, 15, 5, 419, 19, 1981, 3169, 2389, 9169, 31697, 26201, 6997}},
-{9105, 17, 28774, {1, 3, 3, 1, 29, 31, 89, 79, 347, 707, 505, 2087, 2163, 5465, 8677, 11421, 93217}},
-{9106, 17, 28783, {1, 3, 7, 9, 3, 23, 75, 215, 7, 971, 925, 3223, 7825, 12347, 19763, 10927, 41245}},
-{9107, 17, 28791, {1, 3, 5, 5, 3, 43, 119, 79, 373, 761, 709, 1897, 3953, 13895, 13421, 16939, 112449}},
-{9108, 17, 28801, {1, 1, 3, 15, 11, 25, 65, 101, 315, 1005, 1319, 1163, 161, 15331, 4845, 40375, 121361}},
-{9109, 17, 28802, {1, 1, 3, 7, 1, 57, 63, 131, 145, 1007, 549, 2327, 1513, 3591, 10839, 56297, 80613}},
-{9110, 17, 28814, {1, 1, 3, 5, 1, 19, 79, 81, 505, 945, 65, 319, 6105, 5491, 13257, 4651, 48247}},
-{9111, 17, 28837, {1, 3, 1, 9, 27, 41, 61, 41, 421, 707, 1279, 3699, 2403, 4075, 16947, 53435, 2917}},
-{9112, 17, 28838, {1, 1, 5, 13, 11, 29, 35, 141, 313, 769, 749, 4025, 2597, 12197, 32265, 32159, 37003}},
-{9113, 17, 28842, {1, 3, 7, 11, 25, 63, 121, 15, 273, 877, 637, 409, 5001, 4723, 27985, 55501, 43495}},
-{9114, 17, 28844, {1, 3, 1, 13, 27, 29, 127, 65, 275, 967, 1723, 4007, 6147, 13277, 8361, 12305, 95433}},
-{9115, 17, 28849, {1, 3, 3, 13, 11, 45, 7, 101, 169, 361, 517, 2897, 4283, 7587, 7495, 31549, 29113}},
-{9116, 17, 28864, {1, 3, 3, 1, 9, 27, 65, 15, 279, 127, 1039, 829, 5739, 1949, 24789, 30433, 54503}},
-{9117, 17, 28867, {1, 3, 7, 5, 13, 19, 95, 133, 25, 271, 1527, 3571, 101, 15987, 10985, 55761, 39833}},
-{9118, 17, 28881, {1, 3, 5, 9, 27, 5, 37, 219, 249, 947, 1063, 4081, 1763, 15003, 23753, 3975, 109803}},
-{9119, 17, 28882, {1, 3, 3, 5, 21, 37, 35, 145, 323, 573, 1939, 885, 4645, 4515, 16815, 28783, 76017}},
-{9120, 17, 28893, {1, 3, 7, 13, 27, 41, 39, 123, 423, 949, 1487, 2207, 8069, 15337, 20671, 20163, 70667}},
-{9121, 17, 28903, {1, 1, 3, 3, 15, 29, 69, 15, 151, 729, 35, 2067, 6715, 12759, 27611, 54133, 16561}},
-{9122, 17, 28907, {1, 3, 7, 13, 21, 13, 7, 161, 327, 339, 535, 2059, 413, 11161, 18415, 12415, 63713}},
-{9123, 17, 28909, {1, 3, 5, 5, 23, 49, 9, 181, 417, 339, 1013, 1707, 5097, 13319, 18951, 56415, 14397}},
-{9124, 17, 28921, {1, 1, 5, 7, 29, 23, 117, 159, 287, 695, 71, 2393, 2655, 6417, 24349, 20441, 77987}},
-{9125, 17, 28927, {1, 1, 5, 7, 31, 23, 81, 125, 145, 141, 1459, 4095, 713, 1817, 9263, 21025, 91983}},
-{9126, 17, 28929, {1, 1, 1, 9, 17, 23, 91, 39, 459, 299, 1951, 3229, 6229, 3267, 15883, 31719, 96573}},
-{9127, 17, 28935, {1, 1, 1, 15, 3, 51, 9, 7, 455, 653, 1447, 153, 8117, 723, 2177, 9107, 7757}},
-{9128, 17, 28941, {1, 3, 1, 15, 27, 47, 49, 245, 499, 807, 175, 1653, 1693, 3931, 27479, 30095, 62353}},
-{9129, 17, 28942, {1, 1, 5, 5, 23, 7, 15, 193, 499, 193, 201, 2771, 4153, 11533, 25883, 23337, 126685}},
-{9130, 17, 28954, {1, 1, 1, 7, 9, 43, 125, 181, 425, 557, 1401, 2593, 1933, 6803, 20021, 32687, 126465}},
-{9131, 17, 28959, {1, 3, 3, 13, 27, 19, 99, 29, 395, 765, 1137, 2963, 7397, 9695, 19259, 27965, 83157}},
-{9132, 17, 28960, {1, 3, 7, 7, 17, 29, 7, 241, 5, 281, 1489, 1599, 5567, 4579, 7739, 41413, 110571}},
-{9133, 17, 28990, {1, 3, 3, 9, 7, 5, 83, 1, 231, 1003, 631, 2557, 831, 6495, 30409, 53519, 79331}},
-{9134, 17, 28992, {1, 1, 5, 1, 7, 49, 45, 241, 201, 551, 1645, 2003, 1455, 3317, 23639, 7841, 100765}},
-{9135, 17, 29004, {1, 3, 5, 13, 25, 47, 103, 37, 81, 263, 1143, 801, 5863, 6871, 8615, 57363, 90161}},
-{9136, 17, 29010, {1, 3, 7, 11, 27, 23, 119, 211, 473, 207, 605, 637, 3369, 7287, 27827, 25003, 65925}},
-{9137, 17, 29012, {1, 3, 1, 15, 27, 31, 97, 247, 75, 893, 1099, 3609, 6807, 4393, 10253, 62759, 89971}},
-{9138, 17, 29021, {1, 1, 7, 15, 27, 19, 43, 59, 419, 263, 387, 3193, 5589, 4197, 19143, 64749, 103093}},
-{9139, 17, 29035, {1, 1, 7, 11, 21, 51, 97, 227, 251, 869, 1927, 2331, 7741, 8207, 12885, 13267, 17945}},
-{9140, 17, 29040, {1, 1, 7, 7, 5, 53, 41, 147, 75, 709, 607, 1073, 2853, 8081, 12797, 5279, 86083}},
-{9141, 17, 29059, {1, 1, 5, 5, 15, 21, 77, 189, 269, 595, 197, 3117, 5073, 14277, 26867, 49505, 75755}},
-{9142, 17, 29068, {1, 3, 5, 15, 13, 55, 1, 223, 135, 367, 735, 3139, 4851, 9773, 11699, 19081, 26011}},
-{9143, 17, 29080, {1, 3, 5, 7, 9, 3, 89, 103, 321, 727, 1809, 3527, 6881, 2399, 13593, 27867, 16219}},
-{9144, 17, 29086, {1, 3, 3, 1, 23, 5, 53, 51, 403, 753, 2037, 1261, 7575, 2725, 11341, 18533, 98767}},
-{9145, 17, 29089, {1, 1, 1, 11, 1, 13, 37, 141, 477, 689, 1789, 1913, 5753, 6069, 6965, 55209, 77329}},
-{9146, 17, 29090, {1, 3, 7, 3, 17, 59, 79, 249, 381, 163, 1773, 1645, 7295, 2359, 21889, 28429, 117073}},
-{9147, 17, 29095, {1, 3, 5, 15, 7, 45, 59, 3, 93, 259, 1257, 2967, 1175, 10171, 873, 51423, 67437}},
-{9148, 17, 29113, {1, 1, 7, 13, 17, 33, 53, 217, 159, 683, 1169, 3363, 4591, 3959, 10089, 35443, 99677}},
-{9149, 17, 29127, {1, 3, 7, 9, 3, 1, 5, 171, 17, 635, 369, 1529, 4861, 4977, 29303, 42357, 69309}},
-{9150, 17, 29131, {1, 3, 7, 9, 21, 17, 77, 127, 105, 427, 525, 1123, 2365, 7487, 6315, 64773, 122747}},
-{9151, 17, 29148, {1, 1, 1, 15, 19, 63, 65, 83, 219, 987, 169, 2589, 3809, 8807, 22473, 6479, 44617}},
-{9152, 17, 29161, {1, 3, 1, 7, 11, 51, 107, 19, 379, 191, 1013, 3145, 1501, 11871, 14111, 18269, 98247}},
-{9153, 17, 29172, {1, 1, 7, 5, 17, 63, 23, 231, 423, 855, 1955, 907, 4553, 16173, 7701, 40329, 42047}},
-{9154, 17, 29179, {1, 3, 7, 1, 7, 45, 103, 127, 185, 721, 1035, 839, 691, 6823, 23819, 50781, 92767}},
-{9155, 17, 29188, {1, 1, 1, 3, 9, 21, 57, 253, 285, 85, 1227, 365, 2347, 7491, 15183, 8619, 108819}},
-{9156, 17, 29192, {1, 1, 3, 15, 27, 13, 5, 85, 45, 1009, 1315, 1749, 2797, 3941, 19367, 50855, 60693}},
-{9157, 17, 29195, {1, 3, 5, 15, 29, 63, 115, 197, 317, 601, 711, 377, 7489, 4247, 4843, 56549, 108447}},
-{9158, 17, 29206, {1, 3, 7, 15, 11, 25, 7, 145, 371, 395, 1743, 267, 2609, 15707, 13909, 55031, 71115}},
-{9159, 17, 29210, {1, 3, 1, 1, 1, 53, 111, 245, 433, 309, 245, 15, 2091, 9051, 11095, 31821, 104535}},
-{9160, 17, 29215, {1, 3, 1, 15, 25, 31, 99, 89, 259, 595, 1095, 3681, 5105, 8671, 23663, 29717, 126429}},
-{9161, 17, 29221, {1, 3, 7, 7, 5, 31, 15, 59, 109, 527, 257, 1785, 6799, 1283, 11741, 34589, 102397}},
-{9162, 17, 29222, {1, 3, 3, 15, 9, 27, 55, 35, 291, 587, 1281, 779, 4615, 373, 24037, 64671, 124019}},
-{9163, 17, 29236, {1, 1, 5, 5, 13, 51, 49, 19, 37, 857, 539, 1291, 6021, 8645, 30351, 33839, 111515}},
-{9164, 17, 29246, {1, 1, 5, 13, 3, 47, 9, 197, 19, 337, 2025, 3003, 7179, 5755, 31187, 59317, 69753}},
-{9165, 17, 29248, {1, 1, 7, 3, 3, 43, 11, 3, 123, 29, 857, 3349, 791, 11157, 23967, 33729, 28445}},
-{9166, 17, 29253, {1, 1, 5, 1, 1, 11, 73, 231, 173, 925, 331, 161, 3303, 11015, 17507, 21271, 56865}},
-{9167, 17, 29272, {1, 1, 3, 9, 21, 21, 115, 145, 421, 981, 1789, 3343, 7591, 12043, 5795, 17737, 106501}},
-{9168, 17, 29288, {1, 1, 7, 13, 7, 15, 51, 75, 497, 637, 1073, 1505, 5613, 1415, 30861, 26159, 79573}},
-{9169, 17, 29293, {1, 1, 3, 15, 17, 35, 17, 129, 169, 283, 1383, 149, 211, 1381, 22205, 28367, 831}},
-{9170, 17, 29294, {1, 3, 5, 5, 17, 11, 127, 183, 503, 499, 2011, 2721, 2717, 3105, 4731, 60319, 9361}},
-{9171, 17, 29308, {1, 1, 1, 7, 27, 55, 77, 203, 255, 761, 1159, 2915, 4479, 13671, 19757, 65497, 4461}},
-{9172, 17, 29318, {1, 3, 1, 9, 9, 51, 67, 205, 445, 35, 371, 1837, 3623, 10365, 19463, 59005, 3185}},
-{9173, 17, 29321, {1, 3, 7, 3, 23, 5, 51, 141, 293, 489, 263, 2187, 1259, 2729, 1779, 61027, 53931}},
-{9174, 17, 29322, {1, 1, 1, 15, 27, 7, 15, 109, 475, 839, 175, 953, 4531, 437, 22475, 24167, 19051}},
-{9175, 17, 29339, {1, 1, 7, 9, 25, 23, 41, 107, 299, 115, 1713, 1559, 5701, 5427, 28813, 39913, 15941}},
-{9176, 17, 29365, {1, 3, 5, 7, 5, 25, 99, 9, 307, 591, 1303, 3501, 1589, 12095, 26629, 52127, 60635}},
-{9177, 17, 29369, {1, 3, 7, 3, 9, 23, 3, 29, 113, 49, 1601, 541, 1415, 11601, 19165, 46595, 111623}},
-{9178, 17, 29372, {1, 1, 3, 11, 5, 53, 37, 153, 51, 41, 1267, 545, 2055, 13137, 7749, 30721, 119591}},
-{9179, 17, 29377, {1, 3, 5, 11, 1, 15, 65, 17, 155, 65, 745, 2547, 6351, 2347, 13553, 5785, 129857}},
-{9180, 17, 29392, {1, 3, 7, 13, 5, 53, 11, 59, 453, 467, 1275, 3669, 4481, 5229, 2953, 23369, 100161}},
-{9181, 17, 29401, {1, 3, 1, 1, 13, 41, 91, 179, 331, 547, 1571, 1787, 6467, 12375, 4579, 45023, 119149}},
-{9182, 17, 29402, {1, 3, 3, 5, 17, 55, 105, 57, 227, 323, 1517, 1215, 3149, 13919, 18595, 5525, 82445}},
-{9183, 17, 29418, {1, 3, 1, 13, 19, 23, 17, 239, 81, 481, 1625, 2003, 7295, 2185, 7021, 19357, 37867}},
-{9184, 17, 29437, {1, 3, 5, 9, 11, 15, 61, 223, 153, 139, 2023, 2579, 495, 14319, 2835, 26541, 113115}},
-{9185, 17, 29445, {1, 1, 3, 13, 29, 9, 13, 149, 325, 87, 697, 2345, 2205, 5069, 9939, 61351, 127313}},
-{9186, 17, 29446, {1, 1, 7, 11, 13, 53, 45, 197, 167, 551, 439, 3715, 4587, 8549, 28193, 35827, 96721}},
-{9187, 17, 29460, {1, 3, 1, 1, 17, 7, 31, 205, 219, 739, 1165, 243, 3877, 15943, 15207, 43857, 120565}},
-{9188, 17, 29467, {1, 3, 7, 9, 7, 43, 81, 203, 295, 553, 279, 2717, 9, 751, 24715, 21591, 11485}},
-{9189, 17, 29473, {1, 1, 1, 11, 15, 17, 41, 121, 355, 157, 955, 3875, 7595, 235, 4937, 20607, 11401}},
-{9190, 17, 29476, {1, 1, 7, 7, 13, 49, 33, 161, 65, 251, 1895, 2665, 3017, 9725, 10797, 46313, 43407}},
-{9191, 17, 29488, {1, 1, 3, 9, 23, 17, 127, 69, 385, 875, 461, 3305, 3001, 5875, 13547, 61239, 113571}},
-{9192, 17, 29511, {1, 3, 7, 5, 15, 47, 113, 131, 465, 89, 733, 433, 799, 5689, 723, 63479, 106945}},
-{9193, 17, 29512, {1, 3, 3, 15, 29, 1, 51, 115, 317, 1021, 1219, 1797, 4005, 10435, 28935, 49467, 66833}},
-{9194, 17, 29517, {1, 1, 3, 11, 15, 9, 51, 209, 477, 479, 1099, 2781, 5525, 12715, 9067, 18317, 121671}},
-{9195, 17, 29523, {1, 3, 1, 7, 19, 35, 61, 27, 479, 815, 1639, 2825, 7449, 13697, 3079, 49833, 35119}},
-{9196, 17, 29526, {1, 3, 7, 3, 17, 53, 95, 155, 505, 185, 717, 3419, 3857, 2369, 14525, 22797, 38553}},
-{9197, 17, 29535, {1, 3, 1, 13, 27, 5, 11, 21, 507, 65, 39, 2841, 7887, 2783, 18767, 34171, 40527}},
-{9198, 17, 29539, {1, 3, 1, 7, 9, 47, 69, 217, 251, 775, 631, 1967, 5541, 10679, 16439, 33533, 57817}},
-{9199, 17, 29545, {1, 1, 5, 11, 27, 57, 103, 255, 359, 745, 63, 3725, 4113, 10943, 7833, 46857, 99239}},
-{9200, 17, 29559, {1, 3, 1, 5, 31, 41, 69, 245, 401, 451, 959, 351, 6999, 6187, 21437, 55067, 53547}},
-{9201, 17, 29560, {1, 1, 1, 13, 25, 49, 85, 181, 457, 731, 743, 1901, 7013, 12027, 14729, 24193, 89685}},
-{9202, 17, 29589, {1, 3, 3, 1, 31, 29, 101, 137, 117, 135, 345, 1419, 7133, 2695, 3631, 53049, 45875}},
-{9203, 17, 29593, {1, 1, 1, 13, 11, 51, 95, 221, 339, 655, 201, 3007, 8179, 8093, 22399, 59123, 127319}},
-{9204, 17, 29599, {1, 3, 7, 3, 31, 37, 23, 199, 191, 649, 817, 1959, 893, 2333, 21477, 29087, 115667}},
-{9205, 17, 29603, {1, 3, 3, 5, 9, 55, 123, 67, 39, 533, 797, 2575, 3955, 14585, 28587, 13079, 60053}},
-{9206, 17, 29610, {1, 3, 1, 1, 17, 19, 15, 219, 185, 21, 967, 667, 3361, 3883, 8059, 26199, 80913}},
-{9207, 17, 29629, {1, 3, 3, 11, 23, 5, 99, 57, 379, 151, 271, 3735, 7087, 12731, 2949, 54831, 37835}},
-{9208, 17, 29644, {1, 3, 1, 7, 21, 25, 9, 195, 497, 585, 901, 19, 7675, 13611, 31155, 14567, 20545}},
-{9209, 17, 29656, {1, 1, 3, 3, 27, 45, 51, 169, 397, 531, 673, 2935, 3779, 7169, 23479, 16157, 100237}},
-{9210, 17, 29662, {1, 1, 1, 1, 19, 49, 3, 75, 455, 805, 591, 1929, 2883, 2797, 31379, 12025, 120929}},
-{9211, 17, 29675, {1, 3, 5, 3, 17, 39, 115, 93, 341, 329, 1857, 2753, 4923, 12539, 25589, 19437, 29027}},
-{9212, 17, 29692, {1, 3, 5, 9, 27, 37, 21, 235, 499, 369, 1341, 3719, 6819, 3153, 30619, 50901, 52999}},
-{9213, 17, 29704, {1, 3, 1, 11, 3, 55, 43, 219, 83, 771, 783, 3569, 7879, 2363, 30605, 5965, 126855}},
-{9214, 17, 29707, {1, 3, 7, 13, 7, 25, 111, 63, 355, 317, 1579, 1523, 2733, 11963, 25205, 20545, 67389}},
-{9215, 17, 29715, {1, 3, 5, 7, 3, 17, 55, 99, 321, 633, 2013, 1991, 1019, 9223, 21117, 23337, 90589}},
-{9216, 17, 29717, {1, 3, 1, 1, 17, 25, 79, 171, 303, 403, 2037, 2595, 3951, 8021, 8669, 9363, 20345}},
-{9217, 17, 29722, {1, 1, 1, 7, 13, 7, 11, 7, 347, 53, 1763, 3097, 3353, 3769, 22947, 20919, 92247}},
-{9218, 17, 29731, {1, 3, 5, 11, 19, 29, 91, 191, 511, 705, 1317, 3367, 7, 4999, 30251, 18299, 66983}},
-{9219, 17, 29740, {1, 1, 3, 7, 19, 17, 71, 77, 285, 189, 853, 2305, 4205, 15603, 15501, 48073, 11411}},
-{9220, 17, 29743, {1, 3, 7, 5, 21, 15, 47, 13, 277, 969, 1861, 3493, 6723, 11521, 22145, 43779, 44713}},
-{9221, 17, 29752, {1, 1, 3, 5, 19, 47, 51, 207, 229, 957, 709, 267, 8081, 611, 26403, 14871, 111841}},
-{9222, 17, 29760, {1, 3, 7, 1, 19, 43, 71, 73, 405, 351, 1131, 3527, 5949, 14363, 20041, 48123, 68123}},
-{9223, 17, 29766, {1, 3, 3, 7, 23, 51, 81, 13, 161, 453, 365, 1089, 3505, 12359, 14277, 56113, 19717}},
-{9224, 17, 29770, {1, 1, 1, 7, 29, 35, 103, 137, 317, 417, 1465, 2787, 6935, 9885, 12943, 43937, 28353}},
-{9225, 17, 29794, {1, 1, 3, 13, 19, 37, 97, 5, 115, 89, 1005, 3033, 2011, 2633, 10615, 6641, 73385}},
-{9226, 17, 29796, {1, 3, 7, 7, 31, 39, 107, 165, 61, 1009, 1159, 865, 3469, 11093, 10425, 43959, 37395}},
-{9227, 17, 29814, {1, 3, 5, 9, 7, 51, 99, 91, 37, 457, 39, 2455, 7481, 4929, 29755, 50603, 48943}},
-{9228, 17, 29817, {1, 1, 5, 13, 5, 39, 47, 149, 341, 303, 843, 3619, 7527, 8739, 5893, 42623, 99899}},
-{9229, 17, 29829, {1, 1, 1, 1, 1, 41, 73, 71, 409, 351, 131, 515, 6657, 337, 23913, 583, 21665}},
-{9230, 17, 29841, {1, 1, 3, 3, 11, 45, 39, 113, 315, 965, 1605, 2779, 501, 7429, 2567, 7011, 71445}},
-{9231, 17, 29851, {1, 3, 7, 13, 21, 13, 45, 105, 385, 281, 1683, 3997, 6391, 10943, 22349, 37261, 57555}},
-{9232, 17, 29860, {1, 1, 3, 5, 17, 55, 109, 71, 393, 561, 433, 1091, 1923, 13861, 12981, 5523, 15467}},
-{9233, 17, 29864, {1, 3, 7, 5, 17, 11, 113, 119, 37, 989, 1609, 2191, 1511, 11835, 25423, 793, 15227}},
-{9234, 17, 29869, {1, 3, 1, 5, 5, 55, 105, 225, 349, 351, 1259, 1309, 821, 2733, 1357, 3665, 38863}},
-{9235, 17, 29870, {1, 3, 5, 1, 23, 61, 49, 113, 169, 319, 85, 1581, 97, 5271, 30625, 37693, 7297}},
-{9236, 17, 29889, {1, 3, 5, 1, 1, 25, 31, 125, 307, 731, 1815, 1047, 7251, 12481, 20781, 63275, 51985}},
-{9237, 17, 29896, {1, 3, 5, 9, 11, 9, 121, 111, 45, 751, 793, 2593, 6409, 4355, 30183, 36959, 105161}},
-{9238, 17, 29901, {1, 1, 3, 9, 25, 37, 95, 253, 401, 481, 1521, 3555, 231, 15459, 1581, 36661, 121727}},
-{9239, 17, 29913, {1, 3, 5, 3, 27, 11, 107, 115, 213, 813, 27, 1789, 603, 383, 1129, 63365, 51147}},
-{9240, 17, 29919, {1, 1, 3, 13, 25, 7, 33, 1, 97, 907, 35, 4069, 5001, 507, 911, 62037, 22019}},
-{9241, 17, 29920, {1, 1, 3, 5, 7, 55, 35, 95, 261, 217, 1565, 3473, 3475, 12181, 569, 27389, 81771}},
-{9242, 17, 29947, {1, 1, 3, 5, 11, 33, 95, 121, 453, 711, 361, 3927, 5231, 15685, 31143, 56915, 23707}},
-{9243, 17, 29958, {1, 1, 3, 11, 25, 15, 53, 155, 469, 647, 1547, 335, 3753, 12873, 13639, 25129, 79287}},
-{9244, 17, 29975, {1, 3, 3, 3, 1, 21, 21, 121, 105, 903, 83, 2287, 4295, 14369, 29183, 26841, 38115}},
-{9245, 17, 29981, {1, 1, 7, 11, 5, 29, 65, 191, 389, 419, 1315, 739, 3485, 10587, 2399, 36377, 28789}},
-{9246, 17, 29985, {1, 3, 3, 11, 3, 29, 71, 169, 265, 747, 395, 1211, 3487, 15705, 25611, 18183, 85771}},
-{9247, 17, 29998, {1, 1, 7, 3, 23, 5, 45, 47, 337, 571, 33, 1221, 5671, 1233, 28361, 36945, 911}},
-{9248, 17, 30010, {1, 1, 5, 11, 17, 15, 57, 97, 185, 999, 1277, 3371, 2785, 3341, 13395, 11925, 86777}},
-{9249, 17, 30012, {1, 1, 3, 1, 31, 37, 23, 105, 503, 869, 1309, 3733, 4629, 8263, 11763, 30669, 26179}},
-{9250, 17, 30044, {1, 1, 3, 15, 25, 61, 37, 27, 325, 413, 809, 2959, 8137, 3397, 21185, 27995, 84297}},
-{9251, 17, 30048, {1, 3, 5, 5, 1, 55, 95, 41, 493, 469, 331, 1789, 7037, 7947, 14239, 16109, 51795}},
-{9252, 17, 30051, {1, 1, 1, 1, 19, 33, 111, 237, 261, 331, 871, 3539, 1731, 6953, 11345, 37901, 5623}},
-{9253, 17, 30063, {1, 1, 5, 7, 21, 41, 49, 179, 49, 797, 231, 1299, 145, 7743, 725, 60595, 19581}},
-{9254, 17, 30065, {1, 3, 7, 15, 7, 43, 67, 219, 133, 641, 1657, 2301, 1591, 12309, 6395, 3999, 92961}},
-{9255, 17, 30072, {1, 1, 1, 5, 1, 49, 37, 81, 219, 323, 461, 1379, 1797, 14825, 21811, 7347, 35643}},
-{9256, 17, 30077, {1, 1, 1, 11, 1, 3, 83, 31, 307, 83, 1169, 3277, 1875, 13397, 20265, 46707, 15205}},
-{9257, 17, 30087, {1, 3, 7, 11, 29, 41, 69, 33, 405, 991, 1937, 1217, 2137, 8657, 4319, 41119, 43371}},
-{9258, 17, 30088, {1, 3, 3, 3, 25, 49, 107, 197, 347, 923, 1585, 3023, 4087, 13875, 22015, 35733, 33755}},
-{9259, 17, 30101, {1, 3, 3, 5, 15, 61, 89, 249, 141, 853, 1469, 999, 7425, 10015, 12341, 51535, 61619}},
-{9260, 17, 30112, {1, 1, 7, 13, 31, 61, 89, 113, 117, 429, 1011, 1589, 1419, 5083, 4843, 26759, 47401}},
-{9261, 17, 30121, {1, 1, 7, 9, 17, 37, 119, 39, 499, 93, 1155, 3069, 2033, 12483, 29849, 40077, 11103}},
-{9262, 17, 30122, {1, 3, 1, 15, 11, 5, 23, 121, 283, 717, 1573, 3911, 2031, 2617, 20387, 33157, 301}},
-{9263, 17, 30130, {1, 3, 5, 7, 17, 61, 109, 3, 205, 617, 1171, 223, 6609, 15027, 2629, 15801, 73749}},
-{9264, 17, 30135, {1, 1, 3, 7, 5, 49, 9, 73, 333, 401, 675, 2765, 993, 77, 19237, 60929, 88703}},
-{9265, 17, 30139, {1, 1, 1, 9, 21, 25, 53, 249, 241, 43, 1959, 545, 3729, 11395, 3027, 12661, 87729}},
-{9266, 17, 30142, {1, 3, 3, 15, 15, 61, 33, 59, 155, 773, 1043, 3111, 6549, 5397, 29099, 57851, 107671}},
-{9267, 17, 30164, {1, 3, 7, 1, 29, 29, 1, 161, 273, 883, 1913, 2389, 401, 9425, 17613, 50443, 84601}},
-{9268, 17, 30167, {1, 3, 7, 11, 15, 63, 41, 53, 371, 153, 1491, 3013, 6635, 4955, 30145, 20175, 16541}},
-{9269, 17, 30180, {1, 3, 3, 11, 31, 27, 127, 207, 11, 313, 1067, 3445, 3075, 4071, 28305, 58911, 85273}},
-{9270, 17, 30202, {1, 1, 7, 11, 17, 47, 77, 119, 209, 657, 1181, 459, 5821, 4267, 5757, 53703, 35621}},
-{9271, 17, 30211, {1, 3, 1, 15, 27, 41, 3, 217, 457, 531, 1749, 2847, 4715, 11451, 25071, 53999, 93503}},
-{9272, 17, 30214, {1, 3, 5, 3, 19, 29, 9, 177, 355, 265, 883, 1113, 2397, 1819, 20757, 50389, 95551}},
-{9273, 17, 30217, {1, 1, 3, 15, 3, 45, 85, 211, 377, 293, 1791, 1193, 1117, 9383, 28039, 27155, 129513}},
-{9274, 17, 30223, {1, 1, 7, 5, 1, 17, 59, 215, 161, 933, 1653, 2407, 2693, 3655, 7515, 2239, 88985}},
-{9275, 17, 30228, {1, 1, 3, 11, 31, 3, 1, 77, 459, 817, 651, 603, 1711, 9391, 20607, 48195, 127153}},
-{9276, 17, 30235, {1, 1, 5, 13, 11, 49, 25, 13, 51, 443, 1877, 1257, 163, 4673, 30313, 18841, 24547}},
-{9277, 17, 30256, {1, 1, 7, 7, 15, 33, 43, 79, 127, 625, 1991, 1311, 2095, 14659, 3477, 56023, 57955}},
-{9278, 17, 30265, {1, 3, 7, 15, 29, 7, 119, 183, 123, 323, 1723, 959, 2733, 2097, 2927, 57595, 86067}},
-{9279, 17, 30286, {1, 3, 5, 5, 29, 57, 93, 139, 495, 739, 1715, 713, 243, 2027, 11223, 44143, 119155}},
-{9280, 17, 30293, {1, 3, 1, 9, 3, 63, 113, 29, 19, 439, 869, 1101, 4947, 2191, 14737, 57049, 93505}},
-{9281, 17, 30298, {1, 1, 7, 1, 11, 39, 27, 29, 281, 829, 1979, 2185, 2207, 14969, 7447, 55541, 59593}},
-{9282, 17, 30310, {1, 1, 7, 13, 11, 15, 15, 143, 383, 469, 1439, 2823, 7489, 7675, 15433, 26203, 80433}},
-{9283, 17, 30314, {1, 1, 1, 7, 15, 45, 23, 93, 477, 1, 1431, 3173, 7879, 12211, 13051, 56971, 114289}},
-{9284, 17, 30327, {1, 3, 1, 1, 27, 55, 61, 185, 323, 569, 1063, 1357, 7373, 14947, 15967, 64517, 104625}},
-{9285, 17, 30333, {1, 1, 5, 11, 25, 1, 127, 163, 419, 657, 911, 361, 3675, 10765, 24565, 2661, 61979}},
-{9286, 17, 30334, {1, 3, 7, 15, 29, 53, 29, 149, 465, 535, 1865, 2243, 4783, 9327, 24843, 52313, 15683}},
-{9287, 17, 30337, {1, 1, 7, 7, 17, 7, 85, 187, 91, 1013, 1917, 2959, 3571, 12047, 25267, 34095, 9877}},
-{9288, 17, 30338, {1, 1, 1, 7, 5, 27, 111, 107, 313, 571, 1081, 3193, 1025, 2589, 1523, 40453, 77065}},
-{9289, 17, 30344, {1, 3, 7, 1, 19, 27, 1, 103, 479, 405, 583, 1737, 3495, 9093, 20397, 16429, 45609}},
-{9290, 17, 30349, {1, 1, 3, 11, 17, 1, 125, 97, 261, 651, 901, 1245, 1181, 14469, 16229, 31935, 100227}},
-{9291, 17, 30352, {1, 1, 7, 11, 15, 1, 19, 151, 453, 833, 1371, 1109, 5373, 25, 5619, 58351, 26349}},
-{9292, 17, 30362, {1, 1, 7, 15, 17, 55, 51, 67, 123, 13, 1873, 1035, 5871, 11943, 11543, 43261, 62587}},
-{9293, 17, 30374, {1, 3, 1, 13, 21, 15, 83, 205, 333, 379, 2021, 1389, 861, 10395, 20587, 38207, 49109}},
-{9294, 17, 30380, {1, 1, 5, 3, 13, 49, 89, 85, 463, 1005, 1367, 3487, 581, 12145, 22445, 35343, 65745}},
-{9295, 17, 30388, {1, 3, 3, 3, 29, 27, 99, 195, 89, 793, 1677, 3989, 4811, 8303, 9165, 50349, 96947}},
-{9296, 17, 30391, {1, 1, 3, 5, 29, 11, 91, 107, 13, 659, 213, 1613, 2245, 11567, 28157, 2937, 53275}},
-{9297, 17, 30395, {1, 3, 7, 5, 3, 41, 65, 27, 93, 747, 1143, 505, 3881, 2123, 2903, 54137, 96185}},
-{9298, 17, 30403, {1, 1, 3, 15, 9, 49, 3, 25, 77, 681, 1709, 915, 2243, 2127, 18243, 13915, 67399}},
-{9299, 17, 30409, {1, 3, 5, 7, 13, 49, 89, 67, 63, 271, 1651, 897, 4035, 1067, 13743, 56791, 44371}},
-{9300, 17, 30424, {1, 1, 7, 9, 25, 19, 125, 15, 125, 705, 1359, 817, 1241, 12447, 19097, 33209, 89091}},
-{9301, 17, 30427, {1, 3, 7, 3, 19, 43, 127, 197, 39, 709, 257, 3547, 3069, 1187, 21255, 6453, 40763}},
-{9302, 17, 30430, {1, 3, 3, 5, 3, 53, 37, 65, 415, 183, 991, 533, 7805, 9905, 18925, 52665, 100987}},
-{9303, 17, 30451, {1, 3, 3, 11, 17, 41, 17, 137, 143, 277, 945, 1531, 7427, 7287, 30869, 27651, 116507}},
-{9304, 17, 30460, {1, 1, 1, 3, 13, 3, 9, 163, 113, 373, 1909, 1051, 97, 10729, 28615, 40081, 129297}},
-{9305, 17, 30475, {1, 3, 3, 9, 11, 47, 113, 27, 307, 339, 1319, 3083, 7383, 1551, 26691, 28769, 114313}},
-{9306, 17, 30480, {1, 3, 7, 7, 25, 49, 31, 231, 485, 629, 59, 283, 7463, 6603, 23055, 63643, 10121}},
-{9307, 17, 30485, {1, 3, 7, 9, 5, 55, 53, 127, 147, 103, 1697, 485, 7051, 14153, 21631, 35561, 10393}},
-{9308, 17, 30486, {1, 3, 3, 7, 23, 7, 83, 17, 135, 487, 315, 719, 7003, 3919, 13255, 24031, 110493}},
-{9309, 17, 30489, {1, 3, 1, 15, 27, 55, 121, 177, 205, 733, 933, 1535, 2925, 4259, 22203, 59059, 89209}},
-{9310, 17, 30492, {1, 1, 1, 11, 9, 11, 127, 47, 493, 349, 1415, 3089, 4739, 14347, 31579, 20739, 72997}},
-{9311, 17, 30499, {1, 3, 1, 7, 9, 31, 121, 111, 163, 733, 1699, 1507, 5467, 13499, 25269, 6303, 70201}},
-{9312, 17, 30511, {1, 3, 1, 5, 7, 23, 123, 203, 329, 387, 577, 2331, 2283, 14029, 19409, 103, 2477}},
-{9313, 17, 30533, {1, 1, 7, 15, 11, 29, 29, 153, 289, 333, 1669, 2065, 5465, 8835, 28753, 21209, 34283}},
-{9314, 17, 30534, {1, 3, 5, 11, 15, 33, 45, 81, 241, 461, 1167, 1073, 5511, 795, 30955, 49121, 42805}},
-{9315, 17, 30540, {1, 1, 1, 13, 7, 33, 11, 201, 161, 475, 1359, 2329, 177, 9883, 8967, 21399, 73045}},
-{9316, 17, 30545, {1, 3, 3, 1, 25, 59, 85, 51, 481, 751, 1213, 3019, 421, 9903, 30071, 50661, 94715}},
-{9317, 17, 30552, {1, 3, 3, 1, 5, 61, 3, 179, 131, 233, 1627, 3577, 6323, 14161, 21595, 44963, 20215}},
-{9318, 17, 30557, {1, 1, 1, 5, 9, 53, 45, 105, 275, 769, 105, 2757, 6769, 14987, 19955, 18291, 81707}},
-{9319, 17, 30558, {1, 1, 7, 1, 1, 59, 33, 19, 385, 775, 423, 1799, 1325, 13545, 16027, 58347, 102397}},
-{9320, 17, 30567, {1, 1, 3, 11, 15, 61, 63, 59, 355, 659, 1483, 3781, 7383, 5563, 32537, 34175, 40303}},
-{9321, 17, 30568, {1, 3, 5, 7, 5, 37, 19, 223, 323, 129, 287, 2655, 3767, 16201, 4147, 315, 54885}},
-{9322, 17, 30581, {1, 1, 7, 13, 13, 23, 43, 129, 405, 205, 1691, 2189, 3313, 11789, 10263, 16367, 65547}},
-{9323, 17, 30597, {1, 3, 5, 1, 15, 21, 85, 233, 427, 71, 475, 3731, 3335, 11483, 28613, 4335, 35669}},
-{9324, 17, 30607, {1, 1, 3, 3, 31, 47, 27, 109, 373, 451, 1459, 3103, 1941, 10405, 20233, 30517, 122787}},
-{9325, 17, 30621, {1, 3, 1, 7, 3, 11, 113, 49, 355, 465, 1959, 1355, 6521, 10863, 11481, 13385, 31787}},
-{9326, 17, 30632, {1, 3, 1, 1, 9, 45, 125, 69, 267, 413, 717, 2767, 833, 317, 23019, 37753, 3081}},
-{9327, 17, 30650, {1, 1, 7, 7, 13, 55, 75, 105, 71, 505, 239, 3739, 4873, 4257, 18841, 41711, 24045}},
-{9328, 17, 30655, {1, 1, 5, 13, 21, 59, 107, 229, 421, 441, 1079, 3727, 7941, 8443, 30433, 56419, 105751}},
-{9329, 17, 30657, {1, 1, 1, 9, 15, 59, 29, 49, 117, 1009, 1971, 115, 2899, 1069, 29145, 11855, 35277}},
-{9330, 17, 30660, {1, 3, 7, 15, 19, 55, 111, 77, 169, 537, 1695, 2687, 3871, 14017, 15119, 27313, 112807}},
-{9331, 17, 30669, {1, 1, 3, 7, 29, 5, 41, 201, 211, 127, 1877, 643, 2441, 8743, 29393, 6077, 52597}},
-{9332, 17, 30675, {1, 3, 1, 11, 7, 1, 95, 15, 229, 339, 475, 3463, 7827, 9943, 30903, 65013, 1145}},
-{9333, 17, 30678, {1, 1, 1, 5, 23, 19, 81, 23, 475, 169, 373, 1147, 1805, 12779, 13173, 8945, 28175}},
-{9334, 17, 30682, {1, 3, 5, 9, 3, 53, 127, 33, 237, 803, 121, 307, 4981, 8765, 12761, 23601, 92921}},
-{9335, 17, 30687, {1, 1, 3, 7, 17, 63, 11, 37, 213, 619, 1095, 1693, 6747, 7373, 17355, 5987, 97923}},
-{9336, 17, 30688, {1, 1, 3, 15, 11, 37, 109, 175, 503, 339, 591, 2745, 2387, 7419, 13915, 4769, 48229}},
-{9337, 17, 30698, {1, 3, 5, 7, 19, 17, 5, 81, 471, 989, 249, 437, 7309, 5747, 25277, 31911, 87907}},
-{9338, 17, 30711, {1, 3, 1, 7, 15, 25, 49, 243, 423, 911, 1957, 911, 6331, 9831, 26021, 58877, 99257}},
-{9339, 17, 30728, {1, 3, 5, 11, 3, 55, 39, 129, 271, 145, 1973, 3391, 2905, 9229, 7989, 15641, 67933}},
-{9340, 17, 30733, {1, 3, 5, 9, 13, 13, 43, 135, 183, 319, 1391, 2953, 2207, 14205, 31203, 6329, 98907}},
-{9341, 17, 30741, {1, 3, 1, 9, 27, 41, 27, 155, 11, 191, 1747, 975, 7043, 13139, 30387, 47099, 120321}},
-{9342, 17, 30746, {1, 1, 5, 9, 25, 27, 53, 235, 437, 77, 371, 2413, 4867, 14245, 27199, 37387, 88217}},
-{9343, 17, 30752, {1, 1, 7, 7, 11, 59, 103, 15, 109, 65, 1987, 3695, 7737, 7341, 26963, 16075, 6301}},
-{9344, 17, 30764, {1, 3, 7, 5, 7, 59, 109, 159, 121, 377, 1851, 3983, 5421, 7633, 7321, 14869, 54633}},
-{9345, 17, 30769, {1, 1, 3, 15, 21, 51, 35, 243, 397, 411, 1107, 3689, 7913, 14715, 26349, 23361, 90665}},
-{9346, 17, 30784, {1, 1, 1, 3, 5, 11, 77, 205, 187, 981, 1969, 1749, 6295, 8267, 16073, 54451, 103603}},
-{9347, 17, 30796, {1, 3, 3, 9, 11, 13, 113, 83, 243, 1021, 2003, 2277, 6457, 10535, 13461, 52741, 9385}},
-{9348, 17, 30799, {1, 3, 3, 11, 19, 9, 103, 13, 219, 269, 1805, 2689, 5219, 11497, 4909, 57985, 40141}},
-{9349, 17, 30804, {1, 1, 1, 1, 29, 25, 15, 217, 69, 567, 839, 1515, 3627, 9837, 21433, 37177, 10487}},
-{9350, 17, 30811, {1, 1, 7, 15, 15, 23, 119, 217, 277, 447, 551, 825, 7571, 3083, 16573, 1189, 64959}},
-{9351, 17, 30814, {1, 1, 3, 11, 9, 13, 63, 77, 313, 195, 941, 1621, 165, 8905, 20265, 53761, 25091}},
-{9352, 17, 30818, {1, 3, 3, 9, 17, 5, 9, 183, 175, 1015, 253, 233, 2883, 15587, 27175, 38517, 22707}},
-{9353, 17, 30827, {1, 3, 3, 11, 23, 63, 83, 17, 49, 671, 749, 3249, 7821, 7189, 26735, 28995, 101737}},
-{9354, 17, 30838, {1, 1, 7, 5, 25, 15, 97, 247, 161, 585, 1307, 3803, 1105, 9093, 23523, 1383, 65671}},
-{9355, 17, 30842, {1, 1, 3, 15, 29, 51, 65, 237, 349, 709, 799, 1425, 6267, 6283, 4773, 18123, 74833}},
-{9356, 17, 30854, {1, 1, 5, 5, 11, 13, 9, 251, 373, 189, 467, 945, 7279, 11349, 10917, 6581, 83967}},
-{9357, 17, 30863, {1, 1, 7, 15, 23, 27, 1, 197, 41, 325, 757, 1229, 6295, 345, 26147, 40135, 123063}},
-{9358, 17, 30865, {1, 1, 7, 9, 23, 9, 93, 225, 191, 837, 103, 3367, 5411, 8289, 7057, 55391, 10669}},
-{9359, 17, 30877, {1, 1, 5, 15, 21, 17, 49, 221, 487, 23, 1943, 1563, 6157, 4035, 27769, 14933, 56913}},
-{9360, 17, 30881, {1, 1, 5, 13, 13, 43, 67, 245, 457, 365, 1115, 2205, 6229, 4173, 25167, 56333, 55605}},
-{9361, 17, 30887, {1, 1, 5, 11, 15, 59, 109, 83, 17, 913, 497, 1299, 5221, 321, 32139, 13717, 94311}},
-{9362, 17, 30908, {1, 3, 3, 3, 31, 11, 5, 203, 3, 843, 2039, 25, 6211, 14927, 6015, 46269, 90369}},
-{9363, 17, 30916, {1, 1, 3, 9, 21, 51, 91, 203, 149, 147, 197, 1771, 2921, 6609, 2343, 35249, 12963}},
-{9364, 17, 30919, {1, 3, 1, 7, 17, 43, 91, 229, 107, 521, 737, 2355, 5855, 6707, 21217, 47041, 81833}},
-{9365, 17, 30925, {1, 3, 3, 7, 7, 31, 97, 135, 503, 665, 1799, 2937, 6867, 4125, 7375, 34401, 18111}},
-{9366, 17, 30928, {1, 1, 7, 1, 11, 29, 89, 185, 495, 633, 507, 3727, 5999, 5871, 5911, 24877, 10259}},
-{9367, 17, 30944, {1, 1, 1, 13, 25, 3, 25, 65, 91, 411, 147, 3699, 7003, 3017, 25635, 56619, 101491}},
-{9368, 17, 30947, {1, 3, 5, 7, 31, 1, 63, 255, 115, 179, 87, 735, 1649, 4767, 31093, 60149, 49829}},
-{9369, 17, 30950, {1, 1, 3, 1, 21, 63, 67, 85, 399, 279, 1963, 1759, 4679, 15423, 11533, 54387, 36563}},
-{9370, 17, 30968, {1, 3, 5, 3, 31, 53, 73, 73, 481, 443, 1393, 2763, 1199, 5375, 8977, 5369, 114603}},
-{9371, 17, 30971, {1, 1, 1, 3, 29, 47, 73, 205, 469, 187, 815, 2787, 1431, 4705, 11455, 53643, 89269}},
-{9372, 17, 30973, {1, 3, 3, 9, 27, 57, 93, 55, 287, 539, 1259, 3279, 1563, 11399, 22975, 27077, 41031}},
-{9373, 17, 30976, {1, 1, 3, 15, 7, 27, 67, 25, 169, 263, 621, 1921, 509, 11715, 15363, 27447, 75535}},
-{9374, 17, 30986, {1, 1, 1, 9, 29, 63, 31, 99, 321, 361, 1693, 763, 5593, 10815, 741, 31257, 70843}},
-{9375, 17, 30993, {1, 1, 1, 9, 1, 17, 73, 141, 401, 549, 415, 1289, 1697, 1903, 8919, 59563, 60017}},
-{9376, 17, 30994, {1, 3, 7, 3, 5, 51, 127, 221, 9, 929, 153, 1045, 6587, 13653, 5343, 14043, 116125}},
-{9377, 17, 31012, {1, 3, 3, 13, 13, 17, 29, 93, 465, 59, 1207, 3121, 6331, 8647, 5047, 41869, 51969}},
-{9378, 17, 31016, {1, 1, 1, 15, 23, 29, 47, 149, 119, 855, 367, 1419, 7739, 1141, 19787, 38185, 84403}},
-{9379, 17, 31029, {1, 3, 1, 9, 29, 63, 5, 63, 435, 401, 1023, 1981, 6819, 7547, 30065, 33833, 7471}},
-{9380, 17, 31039, {1, 3, 1, 15, 1, 47, 35, 161, 243, 225, 935, 2179, 7737, 7841, 28523, 11505, 103741}},
-{9381, 17, 31041, {1, 1, 7, 3, 7, 57, 73, 55, 101, 905, 1705, 4057, 3781, 8213, 18997, 17185, 33265}},
-{9382, 17, 31042, {1, 1, 5, 1, 7, 57, 31, 77, 323, 395, 927, 1969, 6973, 9013, 30789, 757, 84075}},
-{9383, 17, 31044, {1, 1, 3, 7, 15, 53, 51, 205, 401, 679, 1295, 1955, 7739, 11423, 23207, 55449, 60419}},
-{9384, 17, 31053, {1, 3, 5, 11, 23, 21, 67, 141, 157, 767, 219, 3607, 1847, 11051, 31499, 8461, 106353}},
-{9385, 17, 31059, {1, 1, 3, 9, 17, 19, 123, 169, 1, 31, 1019, 1823, 6043, 1895, 17293, 62079, 16945}},
-{9386, 17, 31062, {1, 3, 5, 9, 3, 15, 49, 27, 183, 293, 989, 2161, 1845, 1103, 20149, 11121, 31935}},
-{9387, 17, 31077, {1, 3, 1, 3, 17, 39, 103, 45, 491, 91, 413, 487, 1381, 5457, 22503, 40477, 94297}},
-{9388, 17, 31095, {1, 1, 3, 7, 29, 11, 87, 79, 349, 437, 945, 3753, 6691, 4373, 24875, 54397, 33697}},
-{9389, 17, 31101, {1, 1, 7, 1, 9, 31, 105, 121, 97, 947, 129, 1909, 2371, 5493, 29523, 52685, 24325}},
-{9390, 17, 31105, {1, 1, 5, 9, 19, 21, 63, 115, 511, 525, 49, 1879, 6075, 8181, 10135, 56785, 53309}},
-{9391, 17, 31118, {1, 1, 5, 15, 3, 55, 75, 135, 451, 697, 1407, 2765, 2443, 11589, 24863, 47187, 98477}},
-{9392, 17, 31129, {1, 1, 1, 13, 27, 37, 77, 157, 121, 603, 491, 2201, 619, 9157, 32511, 19843, 49919}},
-{9393, 17, 31132, {1, 1, 3, 1, 23, 17, 23, 115, 119, 349, 987, 2587, 1847, 12099, 31955, 31685, 1989}},
-{9394, 17, 31141, {1, 3, 7, 7, 5, 47, 63, 209, 69, 921, 1041, 1391, 7485, 11121, 30993, 5691, 74551}},
-{9395, 17, 31159, {1, 3, 1, 3, 23, 61, 55, 253, 355, 299, 971, 279, 3543, 10073, 5199, 50539, 88303}},
-{9396, 17, 31183, {1, 1, 1, 11, 13, 19, 7, 255, 189, 267, 2021, 93, 219, 10537, 28627, 58141, 53675}},
-{9397, 17, 31185, {1, 3, 3, 7, 27, 61, 83, 95, 163, 777, 1533, 2485, 7211, 6979, 4013, 20797, 91411}},
-{9398, 17, 31195, {1, 1, 7, 13, 15, 37, 5, 109, 133, 225, 59, 3855, 3351, 659, 24321, 63531, 15573}},
-{9399, 17, 31202, {1, 1, 5, 1, 7, 55, 59, 213, 45, 77, 2003, 2921, 1105, 11089, 17197, 45459, 67681}},
-{9400, 17, 31213, {1, 1, 1, 5, 13, 21, 107, 245, 505, 409, 1453, 1201, 6945, 2103, 7377, 59413, 8785}},
-{9401, 17, 31238, {1, 1, 1, 13, 5, 37, 73, 55, 39, 219, 225, 3877, 6583, 3105, 25355, 14839, 23435}},
-{9402, 17, 31241, {1, 1, 7, 1, 21, 35, 87, 227, 487, 767, 609, 1685, 2731, 10135, 381, 24021, 122137}},
-{9403, 17, 31252, {1, 1, 1, 3, 29, 13, 19, 255, 355, 505, 1757, 3537, 3029, 11403, 22685, 61169, 397}},
-{9404, 17, 31262, {1, 1, 7, 1, 29, 43, 11, 207, 83, 97, 435, 1453, 4709, 4193, 18517, 47203, 3255}},
-{9405, 17, 31265, {1, 1, 1, 1, 21, 49, 39, 163, 459, 849, 561, 1207, 4109, 1435, 17519, 14839, 1331}},
-{9406, 17, 31295, {1, 1, 3, 11, 27, 35, 65, 219, 135, 559, 1111, 2959, 7835, 5165, 26641, 22765, 121829}},
-{9407, 17, 31300, {1, 3, 5, 3, 23, 31, 57, 149, 431, 451, 189, 1771, 5877, 3503, 7531, 46485, 129031}},
-{9408, 17, 31303, {1, 1, 3, 11, 1, 13, 47, 17, 331, 1003, 215, 2797, 689, 6289, 12719, 37139, 35827}},
-{9409, 17, 31317, {1, 3, 5, 9, 19, 13, 11, 29, 275, 165, 783, 313, 2153, 6009, 2247, 5699, 128753}},
-{9410, 17, 31318, {1, 1, 7, 13, 5, 43, 51, 75, 411, 743, 335, 217, 559, 15389, 6567, 41193, 127443}},
-{9411, 17, 31324, {1, 3, 5, 15, 5, 63, 7, 145, 445, 835, 825, 35, 5951, 5121, 16365, 36789, 2941}},
-{9412, 17, 31338, {1, 3, 5, 5, 29, 1, 61, 19, 427, 245, 445, 3505, 3647, 8817, 8031, 64577, 60745}},
-{9413, 17, 31340, {1, 1, 3, 9, 29, 9, 35, 225, 55, 535, 1537, 831, 6483, 16123, 26079, 32809, 62227}},
-{9414, 17, 31345, {1, 3, 7, 7, 25, 33, 15, 61, 343, 749, 1963, 2763, 3171, 6755, 6529, 49449, 88903}},
-{9415, 17, 31355, {1, 1, 7, 13, 17, 35, 91, 119, 87, 1023, 1101, 1785, 2005, 15947, 21679, 63179, 3389}},
-{9416, 17, 31362, {1, 3, 1, 1, 1, 1, 123, 195, 315, 681, 153, 1621, 5097, 3669, 20505, 39305, 127065}},
-{9417, 17, 31371, {1, 1, 5, 11, 1, 17, 73, 251, 185, 59, 1723, 2321, 2103, 6331, 29571, 63811, 66651}},
-{9418, 17, 31373, {1, 1, 7, 13, 15, 19, 111, 91, 211, 85, 711, 2197, 3107, 2717, 16725, 52995, 65791}},
-{9419, 17, 31381, {1, 3, 3, 9, 21, 41, 53, 145, 459, 155, 93, 2833, 6747, 737, 30625, 40581, 65825}},
-{9420, 17, 31391, {1, 3, 3, 3, 1, 45, 119, 81, 185, 431, 1221, 3043, 7277, 10537, 12355, 42261, 126117}},
-{9421, 17, 31409, {1, 3, 7, 7, 11, 47, 37, 41, 123, 643, 707, 2963, 6183, 15527, 10951, 24031, 38187}},
-{9422, 17, 31410, {1, 3, 1, 7, 13, 57, 1, 149, 117, 627, 1999, 2805, 4857, 12805, 31453, 25699, 109447}},
-{9423, 17, 31412, {1, 3, 5, 3, 9, 37, 83, 221, 77, 573, 661, 465, 1279, 7355, 24061, 36151, 96595}},
-{9424, 17, 31434, {1, 1, 7, 15, 29, 31, 125, 205, 449, 563, 1263, 3427, 8013, 14025, 15235, 11833, 25601}},
-{9425, 17, 31458, {1, 3, 7, 11, 31, 35, 99, 193, 163, 527, 1455, 395, 4853, 2561, 11909, 57311, 101007}},
-{9426, 17, 31467, {1, 1, 5, 3, 17, 39, 99, 173, 497, 245, 1671, 3457, 83, 11959, 2963, 3401, 102259}},
-{9427, 17, 31470, {1, 1, 1, 5, 25, 41, 119, 81, 301, 797, 661, 2543, 1195, 2111, 1785, 41533, 51947}},
-{9428, 17, 31475, {1, 3, 3, 13, 5, 59, 61, 153, 213, 541, 1849, 249, 3897, 3877, 17095, 6857, 76781}},
-{9429, 17, 31481, {1, 3, 7, 1, 19, 13, 57, 47, 359, 165, 1085, 2263, 3261, 12825, 17405, 25853, 20731}},
-{9430, 17, 31482, {1, 1, 1, 7, 7, 43, 7, 65, 51, 503, 173, 1023, 283, 14809, 1183, 33497, 110683}},
-{9431, 17, 31484, {1, 3, 5, 11, 19, 51, 29, 157, 159, 191, 1293, 2951, 6569, 12433, 14587, 30631, 30485}},
-{9432, 17, 31492, {1, 3, 7, 5, 1, 27, 25, 221, 255, 471, 779, 3991, 6985, 1803, 28451, 33403, 5567}},
-{9433, 17, 31507, {1, 1, 5, 5, 7, 29, 55, 241, 457, 863, 1715, 3393, 4127, 13985, 6313, 13683, 114837}},
-{9434, 17, 31514, {1, 3, 5, 5, 11, 27, 55, 109, 247, 199, 1593, 2881, 307, 97, 24751, 35921, 121931}},
-{9435, 17, 31538, {1, 3, 1, 13, 3, 59, 17, 161, 47, 467, 1019, 3629, 3017, 15645, 3983, 32393, 79213}},
-{9436, 17, 31547, {1, 1, 3, 11, 19, 57, 67, 199, 319, 107, 2043, 2045, 4025, 5733, 29979, 37721, 117031}},
-{9437, 17, 31549, {1, 3, 7, 11, 9, 23, 31, 81, 177, 801, 1177, 3451, 7777, 15351, 7579, 39033, 23847}},
-{9438, 17, 31555, {1, 1, 3, 5, 17, 61, 63, 7, 371, 905, 1147, 1383, 4075, 6721, 17503, 32015, 112547}},
-{9439, 17, 31557, {1, 1, 3, 13, 13, 25, 69, 159, 49, 133, 227, 2155, 1603, 10077, 3429, 39131, 18949}},
-{9440, 17, 31597, {1, 3, 5, 3, 29, 5, 115, 93, 243, 791, 1113, 2841, 4733, 3041, 31733, 28539, 84567}},
-{9441, 17, 31598, {1, 3, 3, 7, 21, 9, 5, 95, 489, 517, 1453, 2697, 7951, 12369, 19571, 29811, 51805}},
-{9442, 17, 31610, {1, 1, 5, 9, 1, 29, 97, 191, 73, 357, 745, 2787, 7815, 4565, 19761, 33729, 86849}},
-{9443, 17, 31625, {1, 3, 5, 13, 3, 5, 35, 79, 387, 813, 1673, 3187, 337, 5539, 6761, 46903, 122967}},
-{9444, 17, 31634, {1, 1, 7, 11, 1, 15, 125, 175, 255, 35, 145, 2391, 887, 10505, 11587, 53941, 5089}},
-{9445, 17, 31643, {1, 1, 7, 13, 9, 13, 15, 215, 361, 227, 1665, 3345, 3615, 14031, 16281, 4457, 52037}},
-{9446, 17, 31645, {1, 3, 5, 9, 31, 21, 3, 189, 211, 855, 1781, 2097, 1345, 6763, 27651, 54137, 52689}},
-{9447, 17, 31659, {1, 3, 1, 5, 29, 9, 99, 183, 183, 205, 149, 53, 7179, 3387, 9603, 4281, 47145}},
-{9448, 17, 31669, {1, 3, 1, 11, 13, 35, 97, 21, 29, 877, 191, 1621, 2501, 4283, 1707, 48957, 129029}},
-{9449, 17, 31670, {1, 3, 1, 9, 5, 19, 57, 219, 105, 467, 1179, 3155, 7743, 4835, 14845, 35671, 47655}},
-{9450, 17, 31682, {1, 3, 1, 7, 27, 41, 27, 185, 271, 611, 1173, 2875, 529, 11619, 20231, 18741, 41799}},
-{9451, 17, 31694, {1, 3, 7, 13, 9, 3, 35, 71, 467, 689, 1797, 319, 6657, 13193, 15861, 7567, 12891}},
-{9452, 17, 31717, {1, 1, 7, 13, 19, 57, 25, 141, 195, 995, 859, 811, 4685, 6711, 8963, 49657, 54751}},
-{9453, 17, 31718, {1, 1, 1, 11, 27, 25, 9, 91, 97, 251, 757, 2783, 5447, 3617, 26801, 32501, 55245}},
-{9454, 17, 31729, {1, 3, 7, 1, 5, 1, 103, 129, 127, 593, 857, 3957, 3665, 10279, 26211, 2095, 15869}},
-{9455, 17, 31736, {1, 1, 7, 1, 25, 49, 3, 139, 25, 545, 615, 1353, 4103, 1099, 21729, 45383, 110611}},
-{9456, 17, 31742, {1, 3, 5, 3, 7, 49, 83, 41, 209, 357, 939, 849, 5851, 3945, 831, 8131, 105897}},
-{9457, 17, 31749, {1, 1, 1, 3, 27, 19, 123, 71, 195, 1019, 1021, 1287, 5665, 5277, 8647, 27033, 89539}},
-{9458, 17, 31773, {1, 1, 1, 9, 27, 51, 49, 159, 401, 1013, 763, 653, 1449, 12441, 21191, 28871, 106181}},
-{9459, 17, 31777, {1, 1, 5, 7, 31, 7, 105, 137, 331, 367, 1305, 2761, 863, 3915, 12633, 32251, 82867}},
-{9460, 17, 31778, {1, 3, 7, 11, 9, 47, 35, 57, 137, 269, 443, 79, 11, 11817, 28995, 46681, 104263}},
-{9461, 17, 31784, {1, 3, 1, 5, 3, 25, 89, 179, 183, 835, 367, 2215, 295, 5365, 1899, 10785, 88979}},
-{9462, 17, 31801, {1, 3, 7, 13, 3, 5, 93, 43, 409, 363, 267, 2077, 3745, 445, 25957, 34103, 29475}},
-{9463, 17, 31812, {1, 1, 1, 7, 27, 21, 121, 29, 171, 783, 553, 265, 6835, 3929, 18127, 33463, 70999}},
-{9464, 17, 31821, {1, 3, 3, 15, 15, 55, 13, 1, 297, 935, 1307, 1779, 2239, 15471, 32453, 30649, 45973}},
-{9465, 17, 31822, {1, 3, 7, 5, 25, 41, 3, 171, 347, 607, 1873, 1087, 2433, 8377, 7959, 19941, 117319}},
-{9466, 17, 31836, {1, 1, 1, 3, 5, 47, 107, 69, 431, 63, 325, 1241, 3487, 11249, 28559, 30001, 93789}},
-{9467, 17, 31850, {1, 1, 1, 5, 15, 17, 9, 145, 335, 169, 1099, 3637, 5397, 6711, 16095, 27053, 124247}},
-{9468, 17, 31855, {1, 3, 3, 5, 3, 9, 65, 97, 421, 951, 2003, 2837, 7095, 15685, 5147, 56801, 98679}},
-{9469, 17, 31858, {1, 3, 7, 15, 1, 33, 115, 45, 215, 253, 361, 555, 787, 15483, 25531, 53273, 8933}},
-{9470, 17, 31860, {1, 3, 1, 9, 3, 63, 47, 205, 457, 977, 991, 3189, 1369, 14899, 10937, 56999, 11525}},
-{9471, 17, 31886, {1, 1, 7, 5, 11, 61, 53, 55, 231, 357, 1695, 2489, 2355, 7583, 14097, 50039, 96595}},
-{9472, 17, 31891, {1, 3, 7, 7, 3, 57, 115, 245, 259, 573, 1275, 2971, 1793, 13683, 8683, 51815, 26807}},
-{9473, 17, 31909, {1, 1, 5, 3, 17, 59, 55, 237, 491, 757, 1447, 2941, 2641, 14175, 4401, 4367, 36853}},
-{9474, 17, 31928, {1, 3, 1, 15, 3, 63, 67, 1, 403, 79, 1161, 2379, 3337, 14447, 5877, 40759, 12573}},
-{9475, 17, 31931, {1, 1, 7, 15, 17, 1, 91, 5, 173, 215, 1567, 1851, 3309, 9813, 21215, 19151, 96785}},
-{9476, 17, 31934, {1, 1, 1, 9, 31, 45, 123, 221, 397, 51, 1489, 3247, 923, 10423, 10461, 51231, 92909}},
-{9477, 17, 31941, {1, 1, 1, 13, 27, 17, 105, 163, 403, 193, 1487, 2421, 4415, 14303, 6419, 24105, 29997}},
-{9478, 17, 31942, {1, 1, 5, 13, 31, 55, 17, 125, 341, 219, 401, 1611, 891, 12909, 13949, 46245, 26769}},
-{9479, 17, 31945, {1, 3, 7, 3, 31, 41, 65, 207, 311, 643, 1617, 271, 3749, 14635, 26385, 55251, 50719}},
-{9480, 17, 31951, {1, 3, 3, 13, 7, 55, 69, 241, 413, 399, 137, 2255, 5395, 12625, 26583, 64603, 22571}},
-{9481, 17, 31959, {1, 3, 5, 3, 31, 15, 15, 161, 153, 445, 595, 273, 6631, 12845, 23331, 16963, 52099}},
-{9482, 17, 31963, {1, 3, 3, 1, 27, 39, 71, 41, 455, 841, 831, 1719, 3531, 5113, 29183, 1933, 42227}},
-{9483, 17, 31970, {1, 3, 7, 3, 1, 15, 31, 183, 429, 557, 1747, 1059, 2079, 16361, 29103, 43207, 921}},
-{9484, 17, 31984, {1, 3, 1, 1, 31, 39, 97, 73, 339, 405, 1423, 2215, 5435, 9205, 1889, 58249, 61517}},
-{9485, 17, 31987, {1, 3, 7, 1, 23, 59, 127, 245, 11, 627, 1555, 2497, 6427, 7205, 22675, 62847, 69691}},
-{9486, 17, 31990, {1, 1, 3, 5, 1, 13, 95, 9, 167, 481, 947, 3181, 8057, 5559, 7537, 33757, 72419}},
-{9487, 17, 32001, {1, 1, 7, 3, 15, 9, 105, 205, 287, 375, 115, 1731, 1063, 11551, 12077, 41013, 88853}},
-{9488, 17, 32007, {1, 3, 3, 9, 5, 63, 127, 33, 409, 279, 1379, 4069, 4091, 14703, 27435, 19525, 71261}},
-{9489, 17, 32008, {1, 3, 1, 13, 31, 31, 59, 205, 167, 131, 891, 1259, 6909, 211, 31517, 8085, 112065}},
-{9490, 17, 32025, {1, 1, 5, 11, 17, 25, 119, 77, 449, 569, 381, 825, 2459, 983, 2959, 51611, 90721}},
-{9491, 17, 32035, {1, 3, 1, 7, 17, 55, 91, 231, 133, 541, 499, 3609, 4237, 11627, 30007, 58911, 43443}},
-{9492, 17, 32038, {1, 3, 7, 7, 29, 5, 47, 187, 71, 695, 1389, 2855, 5815, 11605, 3643, 24961, 25793}},
-{9493, 17, 32047, {1, 3, 3, 5, 11, 31, 43, 31, 185, 1021, 795, 3585, 3981, 8627, 18117, 42351, 19513}},
-{9494, 17, 32049, {1, 1, 5, 13, 9, 3, 115, 45, 39, 577, 1847, 653, 2625, 9367, 27923, 35661, 113613}},
-{9495, 17, 32062, {1, 3, 7, 7, 17, 9, 69, 233, 367, 673, 11, 2215, 1177, 4501, 9693, 62013, 45647}},
-{9496, 17, 32067, {1, 3, 5, 7, 7, 53, 11, 227, 465, 843, 2017, 689, 6767, 10321, 25163, 56561, 6865}},
-{9497, 17, 32070, {1, 3, 3, 5, 13, 43, 119, 9, 185, 893, 133, 863, 7137, 6653, 7875, 23167, 13893}},
-{9498, 17, 32073, {1, 3, 5, 9, 1, 47, 17, 85, 273, 901, 493, 2411, 983, 15717, 25151, 21323, 57939}},
-{9499, 17, 32074, {1, 1, 7, 5, 19, 17, 49, 37, 425, 443, 781, 2593, 4929, 12313, 12727, 42285, 88451}},
-{9500, 17, 32079, {1, 3, 3, 11, 9, 53, 17, 67, 237, 463, 1509, 2153, 3715, 7909, 21151, 64517, 87695}},
-{9501, 17, 32081, {1, 3, 7, 1, 29, 39, 25, 83, 413, 1005, 2011, 3933, 2911, 7041, 10537, 23135, 22671}},
-{9502, 17, 32082, {1, 1, 3, 9, 23, 61, 117, 33, 431, 181, 1819, 683, 1809, 1723, 27041, 29113, 99347}},
-{9503, 17, 32107, {1, 1, 5, 11, 11, 7, 101, 181, 51, 857, 923, 3495, 7123, 7775, 30081, 48513, 116137}},
-{9504, 17, 32127, {1, 1, 3, 11, 15, 31, 97, 127, 365, 799, 715, 2101, 6081, 11607, 1055, 35027, 62967}},
-{9505, 17, 32145, {1, 3, 5, 7, 3, 31, 109, 247, 225, 221, 1093, 2633, 1847, 7427, 8767, 16581, 32145}},
-{9506, 17, 32151, {1, 3, 1, 7, 15, 23, 43, 109, 327, 417, 1895, 2333, 6265, 6599, 6623, 47375, 92731}},
-{9507, 17, 32152, {1, 3, 7, 1, 29, 29, 45, 217, 163, 941, 1327, 3685, 5481, 15783, 26281, 60339, 34277}},
-{9508, 17, 32173, {1, 1, 7, 11, 1, 7, 119, 201, 29, 193, 1805, 1395, 267, 2011, 637, 26765, 48883}},
-{9509, 17, 32174, {1, 1, 3, 7, 11, 63, 41, 89, 365, 729, 25, 3185, 2143, 1737, 29693, 7443, 78079}},
-{9510, 17, 32186, {1, 3, 1, 13, 25, 27, 63, 233, 79, 1007, 1357, 679, 7581, 8333, 2469, 31787, 128531}},
-{9511, 17, 32194, {1, 3, 1, 3, 23, 39, 53, 99, 219, 475, 931, 507, 3615, 10613, 14663, 1151, 123459}},
-{9512, 17, 32196, {1, 1, 1, 1, 13, 15, 67, 45, 393, 791, 415, 2731, 1151, 8935, 28983, 7239, 106247}},
-{9513, 17, 32200, {1, 3, 7, 7, 11, 35, 95, 153, 421, 193, 1997, 2587, 3183, 9229, 17663, 28221, 6759}},
-{9514, 17, 32208, {1, 3, 1, 7, 5, 5, 123, 55, 509, 973, 261, 463, 2723, 15225, 1925, 62283, 86329}},
-{9515, 17, 32218, {1, 1, 3, 13, 5, 47, 123, 239, 273, 407, 1725, 717, 1229, 1387, 11743, 13739, 104503}},
-{9516, 17, 32236, {1, 3, 3, 13, 23, 35, 43, 113, 299, 847, 1903, 3445, 3395, 641, 11271, 61517, 40747}},
-{9517, 17, 32260, {1, 3, 1, 15, 17, 49, 97, 9, 335, 731, 151, 167, 8129, 11845, 18285, 20113, 122397}},
-{9518, 17, 32263, {1, 1, 5, 11, 11, 63, 3, 153, 345, 511, 1939, 1815, 7231, 10555, 14293, 50753, 14681}},
-{9519, 17, 32288, {1, 3, 7, 5, 21, 31, 127, 223, 241, 783, 887, 3519, 4743, 3541, 4143, 57461, 27791}},
-{9520, 17, 32298, {1, 1, 5, 7, 13, 15, 83, 225, 201, 979, 145, 769, 1491, 12155, 21307, 64877, 113277}},
-{9521, 17, 32315, {1, 1, 7, 1, 27, 25, 105, 69, 239, 323, 1059, 573, 4913, 14215, 27007, 42351, 66315}},
-{9522, 17, 32332, {1, 1, 3, 11, 21, 33, 93, 23, 363, 633, 935, 637, 6171, 12695, 14077, 17505, 69681}},
-{9523, 17, 32340, {1, 3, 1, 5, 15, 11, 93, 211, 175, 377, 33, 1403, 5097, 1503, 8483, 2881, 85877}},
-{9524, 17, 32354, {1, 1, 5, 3, 5, 51, 5, 255, 429, 661, 625, 3015, 4813, 3573, 22917, 45967, 70559}},
-{9525, 17, 32359, {1, 1, 7, 3, 11, 41, 3, 197, 181, 897, 767, 1385, 7395, 15543, 4655, 40309, 73169}},
-{9526, 17, 32366, {1, 1, 5, 9, 15, 35, 71, 119, 509, 817, 1169, 75, 1337, 2959, 611, 38243, 46987}},
-{9527, 17, 32368, {1, 1, 1, 9, 1, 7, 43, 65, 479, 625, 1685, 1309, 5619, 14163, 13633, 18169, 8311}},
-{9528, 17, 32377, {1, 3, 5, 9, 19, 39, 95, 105, 273, 1023, 79, 229, 6895, 2931, 5717, 27911, 22139}},
-{9529, 17, 32384, {1, 3, 5, 7, 1, 55, 15, 15, 297, 731, 2029, 2789, 11, 1333, 26571, 62595, 15131}},
-{9530, 17, 32399, {1, 1, 5, 7, 29, 35, 3, 125, 381, 709, 2047, 2395, 6315, 2301, 7175, 19857, 75085}},
-{9531, 17, 32417, {1, 1, 5, 15, 23, 45, 95, 117, 49, 635, 1525, 1105, 7335, 4653, 18159, 29729, 62627}},
-{9532, 17, 32424, {1, 3, 3, 11, 29, 19, 29, 169, 141, 243, 1765, 1829, 4555, 16299, 3053, 58933, 44605}},
-{9533, 17, 32427, {1, 1, 3, 15, 5, 45, 35, 213, 385, 993, 1521, 9, 3561, 10497, 12601, 38163, 86501}},
-{9534, 17, 32429, {1, 3, 3, 13, 9, 23, 109, 95, 491, 1003, 473, 3325, 6577, 14617, 17765, 33391, 82927}},
-{9535, 17, 32438, {1, 3, 3, 11, 25, 31, 93, 111, 231, 71, 1233, 3581, 6789, 4569, 16741, 61967, 32249}},
-{9536, 17, 32442, {1, 3, 3, 15, 15, 63, 39, 247, 79, 923, 327, 2639, 2013, 12325, 18133, 60623, 2215}},
-{9537, 17, 32447, {1, 3, 5, 1, 5, 49, 121, 53, 283, 529, 37, 3233, 6285, 12447, 4355, 9343, 45631}},
-{9538, 17, 32469, {1, 1, 7, 11, 11, 11, 111, 139, 429, 279, 1019, 2139, 2033, 6809, 8847, 22535, 107005}},
-{9539, 17, 32479, {1, 3, 5, 1, 1, 21, 35, 97, 167, 57, 491, 511, 4065, 11699, 16851, 6847, 40929}},
-{9540, 17, 32483, {1, 3, 1, 15, 3, 55, 113, 33, 255, 537, 835, 1867, 3927, 839, 955, 29079, 93727}},
-{9541, 17, 32498, {1, 1, 7, 3, 5, 7, 35, 111, 165, 885, 115, 3051, 4541, 1701, 22827, 361, 91843}},
-{9542, 17, 32503, {1, 1, 7, 11, 7, 55, 81, 43, 237, 725, 1761, 1599, 639, 14189, 31241, 52827, 107943}},
-{9543, 17, 32507, {1, 3, 1, 3, 29, 35, 67, 119, 369, 877, 1861, 123, 8121, 13861, 31155, 60245, 79799}},
-{9544, 17, 32521, {1, 1, 3, 13, 7, 49, 63, 19, 253, 723, 639, 1677, 291, 13697, 22231, 46893, 90069}},
-{9545, 17, 32532, {1, 3, 5, 1, 7, 57, 29, 233, 35, 715, 515, 3221, 2715, 13839, 18321, 4445, 103843}},
-{9546, 17, 32539, {1, 3, 1, 7, 1, 63, 33, 7, 481, 461, 1923, 2679, 2441, 5449, 13233, 2245, 48667}},
-{9547, 17, 32551, {1, 1, 7, 11, 11, 9, 95, 151, 441, 333, 1871, 1181, 3027, 12887, 11923, 63847, 6953}},
-{9548, 17, 32572, {1, 3, 5, 5, 15, 33, 53, 47, 351, 387, 55, 393, 5475, 3027, 18565, 37997, 120877}},
-{9549, 17, 32577, {1, 3, 5, 9, 23, 43, 67, 97, 445, 783, 1499, 1977, 1441, 10159, 13479, 149, 4939}},
-{9550, 17, 32578, {1, 3, 7, 3, 15, 41, 119, 55, 139, 25, 849, 857, 53, 10421, 2683, 24839, 107797}},
-{9551, 17, 32587, {1, 1, 7, 13, 25, 51, 51, 13, 333, 93, 95, 1755, 3055, 12585, 3519, 44857, 11257}},
-{9552, 17, 32592, {1, 1, 5, 11, 29, 55, 13, 235, 419, 327, 823, 2675, 8031, 9303, 8749, 20215, 12111}},
-{9553, 17, 32602, {1, 1, 3, 5, 7, 31, 103, 19, 467, 255, 583, 419, 2845, 12179, 63, 51693, 9755}},
-{9554, 17, 32604, {1, 1, 1, 13, 15, 29, 109, 81, 381, 659, 601, 3867, 7663, 7307, 16445, 56327, 48559}},
-{9555, 17, 32613, {1, 3, 3, 15, 31, 35, 29, 153, 423, 247, 55, 3259, 6199, 4199, 13931, 14433, 52645}},
-{9556, 17, 32625, {1, 1, 5, 11, 9, 17, 17, 191, 231, 977, 721, 2817, 2485, 4965, 32341, 55131, 4547}},
-{9557, 17, 32631, {1, 1, 7, 7, 7, 7, 89, 69, 299, 503, 597, 311, 1321, 2335, 30193, 45347, 126631}},
-{9558, 17, 32641, {1, 1, 7, 11, 13, 43, 105, 153, 89, 229, 1573, 1549, 3699, 15981, 28911, 45011, 83759}},
-{9559, 17, 32642, {1, 3, 7, 3, 1, 3, 121, 137, 263, 325, 1449, 3793, 5795, 7715, 7449, 26453, 85081}},
-{9560, 17, 32644, {1, 3, 1, 7, 23, 15, 39, 217, 99, 873, 1641, 1411, 4627, 283, 20707, 41795, 62239}},
-{9561, 17, 32656, {1, 3, 5, 9, 15, 15, 35, 255, 501, 945, 79, 799, 2361, 4495, 27825, 27699, 129335}},
-{9562, 17, 32678, {1, 3, 1, 7, 9, 19, 89, 31, 65, 905, 1475, 1353, 7253, 12825, 20723, 47757, 12007}},
-{9563, 17, 32681, {1, 1, 3, 3, 15, 35, 83, 239, 463, 835, 1249, 2521, 3429, 14073, 13569, 6161, 71309}},
-{9564, 17, 32701, {1, 1, 7, 11, 31, 43, 15, 57, 461, 917, 339, 3787, 2925, 1879, 7217, 17091, 108819}},
-{9565, 17, 32713, {1, 3, 7, 3, 17, 51, 29, 105, 221, 941, 1291, 835, 1563, 15623, 2953, 62985, 63037}},
-{9566, 17, 32721, {1, 1, 7, 3, 1, 39, 83, 41, 399, 465, 587, 2011, 137, 6017, 5067, 52389, 71053}},
-{9567, 17, 32727, {1, 1, 7, 11, 17, 55, 103, 239, 173, 181, 1219, 2671, 5183, 3799, 19589, 31247, 68889}},
-{9568, 17, 32731, {1, 1, 3, 3, 21, 43, 123, 253, 281, 627, 353, 3077, 1685, 12143, 19723, 57775, 70761}},
-{9569, 17, 32734, {1, 1, 7, 15, 31, 13, 101, 159, 311, 305, 1783, 3523, 149, 9269, 7103, 40315, 30569}},
-{9570, 17, 32740, {1, 1, 5, 3, 29, 47, 11, 219, 301, 207, 1361, 563, 7831, 14469, 18983, 54535, 64647}},
-{9571, 17, 32773, {1, 1, 3, 15, 11, 37, 85, 237, 225, 1009, 1065, 985, 6849, 5395, 22853, 43965, 51363}},
-{9572, 17, 32774, {1, 3, 3, 1, 11, 61, 45, 131, 201, 609, 757, 2539, 3817, 9309, 24759, 26789, 41437}},
-{9573, 17, 32785, {1, 1, 7, 3, 21, 5, 19, 137, 75, 573, 583, 2499, 41, 3429, 24273, 36711, 110015}},
-{9574, 17, 32788, {1, 3, 7, 9, 1, 51, 39, 75, 115, 269, 1983, 2709, 6989, 6521, 5551, 43675, 1019}},
-{9575, 17, 32792, {1, 1, 3, 9, 27, 1, 125, 7, 67, 821, 275, 1253, 4635, 3557, 4155, 13831, 1523}},
-{9576, 17, 32797, {1, 1, 5, 15, 23, 15, 79, 43, 275, 791, 1867, 2495, 2933, 2167, 22819, 52913, 88871}},
-{9577, 17, 32801, {1, 1, 1, 5, 31, 59, 27, 153, 159, 919, 219, 3373, 3227, 6321, 27559, 33905, 126145}},
-{9578, 17, 32811, {1, 3, 3, 13, 23, 21, 119, 175, 119, 741, 1745, 3985, 3847, 5163, 13699, 32373, 75201}},
-{9579, 17, 32821, {1, 3, 7, 15, 1, 47, 101, 89, 425, 269, 713, 3587, 3373, 13315, 16481, 40031, 50353}},
-{9580, 17, 32828, {1, 3, 7, 3, 19, 29, 5, 69, 385, 979, 1893, 1849, 8007, 14415, 18343, 60555, 109117}},
-{9581, 17, 32839, {1, 1, 3, 13, 5, 35, 111, 239, 489, 395, 1565, 1607, 543, 89, 8971, 22311, 899}},
-{9582, 17, 32854, {1, 1, 7, 7, 11, 51, 105, 211, 341, 85, 991, 1275, 3995, 12611, 2363, 29501, 44217}},
-{9583, 17, 32867, {1, 1, 5, 13, 9, 17, 93, 69, 145, 917, 469, 1109, 7405, 12903, 8341, 50383, 20133}},
-{9584, 17, 32870, {1, 3, 1, 7, 27, 45, 45, 85, 101, 161, 1117, 2757, 7847, 359, 17155, 27073, 123535}},
-{9585, 17, 32873, {1, 3, 1, 3, 9, 11, 67, 205, 109, 257, 1635, 141, 3969, 11571, 211, 48683, 108671}},
-{9586, 17, 32881, {1, 1, 3, 7, 13, 9, 29, 251, 113, 851, 1549, 981, 5553, 6095, 28885, 32953, 112563}},
-{9587, 17, 32891, {1, 1, 5, 7, 11, 5, 13, 83, 343, 499, 587, 3887, 3859, 11459, 7361, 25665, 86151}},
-{9588, 17, 32900, {1, 1, 5, 1, 13, 43, 3, 37, 273, 749, 1707, 2069, 3083, 1095, 3081, 23919, 21939}},
-{9589, 17, 32903, {1, 3, 5, 13, 13, 49, 115, 99, 357, 95, 699, 2615, 1911, 12675, 8607, 12535, 118651}},
-{9590, 17, 32910, {1, 1, 7, 7, 29, 43, 17, 131, 271, 895, 1427, 3659, 1843, 8247, 1175, 48239, 54435}},
-{9591, 17, 32917, {1, 1, 1, 9, 1, 27, 85, 163, 353, 669, 745, 317, 2505, 7685, 14831, 31131, 106687}},
-{9592, 17, 32922, {1, 1, 7, 9, 1, 23, 121, 53, 289, 651, 303, 3049, 6819, 6733, 17485, 20023, 110009}},
-{9593, 17, 32928, {1, 3, 7, 3, 5, 47, 93, 75, 363, 479, 825, 1801, 6807, 3341, 6419, 9889, 5557}},
-{9594, 17, 32945, {1, 1, 3, 15, 23, 5, 7, 25, 73, 811, 1597, 2041, 6707, 6817, 20427, 50749, 46255}},
-{9595, 17, 32946, {1, 3, 7, 9, 1, 11, 61, 63, 435, 977, 1937, 93, 2685, 643, 20113, 25873, 63829}},
-{9596, 17, 32951, {1, 1, 3, 15, 5, 41, 31, 53, 143, 271, 27, 3899, 5045, 1063, 17229, 52715, 67689}},
-{9597, 17, 32958, {1, 1, 3, 11, 1, 57, 121, 13, 291, 861, 1547, 3899, 7949, 15401, 29807, 52307, 104359}},
-{9598, 17, 32965, {1, 3, 5, 15, 23, 3, 95, 43, 377, 437, 1687, 3075, 5131, 11791, 3637, 12621, 105575}},
-{9599, 17, 32978, {1, 3, 1, 3, 27, 1, 117, 11, 153, 401, 1971, 2097, 3227, 14603, 4757, 56281, 112263}},
-{9600, 17, 32980, {1, 3, 3, 5, 13, 25, 51, 209, 367, 327, 1941, 1943, 1347, 14393, 31997, 16001, 129047}},
-{9601, 17, 32983, {1, 1, 5, 11, 19, 51, 109, 229, 71, 923, 1741, 1193, 4657, 6043, 26703, 17757, 75009}},
-{9602, 17, 32987, {1, 1, 7, 3, 23, 3, 125, 165, 137, 999, 1583, 3493, 859, 15603, 7143, 28791, 28201}},
-{9603, 17, 33023, {1, 1, 5, 11, 29, 57, 65, 41, 295, 729, 635, 1871, 6347, 3509, 59, 40765, 42673}},
-{9604, 17, 33031, {1, 3, 3, 3, 15, 59, 53, 97, 15, 131, 891, 1105, 841, 6065, 14427, 4721, 106433}},
-{9605, 17, 33032, {1, 1, 1, 7, 19, 37, 101, 121, 141, 613, 1363, 691, 1731, 12477, 8339, 55669, 99379}},
-{9606, 17, 33035, {1, 3, 5, 13, 17, 49, 75, 25, 447, 113, 1853, 3465, 5225, 4531, 14287, 1039, 17399}},
-{9607, 17, 33038, {1, 3, 5, 3, 3, 49, 101, 79, 117, 939, 1161, 1991, 2343, 7183, 12599, 52877, 94337}},
-{9608, 17, 33040, {1, 3, 1, 1, 19, 47, 73, 195, 475, 435, 1807, 2723, 7885, 15469, 26057, 37325, 57005}},
-{9609, 17, 33043, {1, 1, 1, 11, 17, 7, 111, 143, 357, 977, 719, 553, 4559, 7225, 10405, 26895, 8385}},
-{9610, 17, 33050, {1, 3, 3, 9, 17, 5, 1, 73, 125, 913, 1275, 2387, 5153, 13611, 20585, 8465, 27545}},
-{9611, 17, 33059, {1, 1, 7, 5, 27, 51, 107, 147, 503, 699, 851, 1729, 2875, 16331, 28025, 26451, 92705}},
-{9612, 17, 33080, {1, 1, 5, 9, 3, 37, 21, 139, 13, 427, 225, 1345, 2491, 15495, 25847, 3095, 128879}},
-{9613, 17, 33098, {1, 1, 3, 11, 7, 47, 113, 133, 99, 871, 1151, 1953, 7931, 6389, 28715, 36861, 60017}},
-{9614, 17, 33108, {1, 1, 7, 1, 21, 47, 35, 83, 137, 945, 2047, 3491, 3719, 3001, 20563, 51243, 14491}},
-{9615, 17, 33115, {1, 1, 5, 15, 1, 13, 85, 61, 479, 853, 813, 805, 4931, 12651, 22757, 29531, 92861}},
-{9616, 17, 33117, {1, 3, 7, 7, 27, 63, 31, 169, 43, 185, 637, 729, 7231, 2381, 23539, 53885, 90215}},
-{9617, 17, 33133, {1, 1, 3, 13, 5, 51, 69, 111, 357, 277, 1889, 3809, 8031, 13341, 14261, 34001, 63317}},
-{9618, 17, 33134, {1, 1, 7, 3, 11, 59, 1, 43, 227, 503, 1407, 3917, 7077, 847, 4513, 53007, 66721}},
-{9619, 17, 33157, {1, 1, 5, 11, 15, 25, 109, 169, 25, 391, 597, 2997, 2377, 9045, 15239, 25291, 5451}},
-{9620, 17, 33169, {1, 3, 3, 11, 15, 11, 1, 59, 347, 707, 239, 2473, 8057, 4787, 32247, 17955, 79151}},
-{9621, 17, 33170, {1, 3, 7, 11, 9, 59, 9, 117, 137, 713, 451, 1105, 4485, 14979, 26271, 46017, 89211}},
-{9622, 17, 33176, {1, 3, 3, 3, 3, 19, 95, 131, 413, 291, 1179, 3265, 7107, 10419, 13527, 19905, 8059}},
-{9623, 17, 33182, {1, 3, 7, 9, 29, 43, 19, 243, 443, 27, 1401, 3469, 6925, 2833, 19715, 39667, 11983}},
-{9624, 17, 33192, {1, 3, 3, 7, 23, 33, 115, 59, 29, 61, 1085, 1115, 4007, 12673, 26479, 22397, 95609}},
-{9625, 17, 33205, {1, 3, 3, 5, 1, 47, 43, 83, 21, 621, 59, 1, 891, 12285, 31855, 48641, 52479}},
-{9626, 17, 33212, {1, 3, 3, 5, 3, 9, 17, 181, 15, 315, 1705, 2461, 1853, 14007, 17665, 40593, 126179}},
-{9627, 17, 33215, {1, 3, 5, 3, 3, 23, 83, 163, 29, 293, 1891, 2631, 2989, 7295, 2441, 21689, 8187}},
-{9628, 17, 33217, {1, 3, 1, 1, 1, 23, 53, 215, 185, 843, 1083, 2603, 3857, 4981, 25079, 20249, 93717}},
-{9629, 17, 33227, {1, 3, 5, 11, 7, 61, 127, 13, 449, 395, 1909, 3967, 2441, 3073, 8159, 33979, 26345}},
-{9630, 17, 33229, {1, 1, 5, 1, 15, 5, 93, 87, 319, 173, 1729, 1395, 1019, 5139, 10819, 29877, 81025}},
-{9631, 17, 33238, {1, 3, 3, 7, 17, 55, 61, 227, 299, 245, 849, 211, 895, 2999, 18215, 37069, 32821}},
-{9632, 17, 33241, {1, 1, 5, 3, 17, 49, 115, 55, 447, 533, 1463, 2983, 3245, 9345, 11955, 49145, 128035}},
-{9633, 17, 33260, {1, 3, 1, 7, 5, 17, 61, 71, 101, 529, 1761, 827, 7887, 5713, 31039, 18087, 82277}},
-{9634, 17, 33271, {1, 3, 1, 11, 27, 59, 1, 231, 303, 431, 1279, 3647, 1333, 3675, 29401, 55533, 65997}},
-{9635, 17, 33278, {1, 1, 5, 9, 7, 9, 111, 245, 269, 919, 1147, 1601, 6219, 4931, 3035, 12231, 4011}},
-{9636, 17, 33293, {1, 3, 5, 15, 3, 19, 83, 25, 129, 979, 79, 3027, 3983, 7703, 16859, 12085, 83115}},
-{9637, 17, 33294, {1, 1, 5, 11, 31, 41, 99, 3, 383, 943, 1579, 2435, 1209, 161, 31733, 11755, 95697}},
-{9638, 17, 33296, {1, 1, 1, 9, 9, 55, 115, 187, 499, 165, 1081, 813, 2545, 8065, 10501, 15475, 85107}},
-{9639, 17, 33302, {1, 1, 1, 3, 1, 31, 81, 213, 301, 575, 605, 543, 3347, 12759, 21645, 37173, 36127}},
-{9640, 17, 33305, {1, 3, 3, 9, 21, 29, 51, 91, 307, 617, 1839, 443, 1013, 4473, 3885, 57669, 123271}},
-{9641, 17, 33329, {1, 3, 1, 15, 31, 43, 83, 187, 51, 513, 1505, 3895, 3557, 9527, 27537, 6173, 99595}},
-{9642, 17, 33330, {1, 3, 3, 1, 3, 53, 113, 27, 431, 505, 219, 2143, 6691, 3219, 9589, 9885, 24037}},
-{9643, 17, 33332, {1, 1, 5, 9, 13, 3, 53, 145, 49, 411, 691, 289, 6443, 4963, 13815, 23663, 95497}},
-{9644, 17, 33354, {1, 3, 5, 9, 19, 7, 53, 101, 199, 69, 1821, 3233, 3267, 5947, 4869, 30095, 21255}},
-{9645, 17, 33383, {1, 1, 5, 11, 29, 7, 79, 11, 451, 585, 987, 2333, 1891, 1853, 14739, 34399, 62895}},
-{9646, 17, 33387, {1, 3, 1, 7, 29, 43, 103, 219, 139, 359, 1663, 3453, 7469, 1943, 11457, 19227, 62211}},
-{9647, 17, 33397, {1, 3, 3, 11, 9, 47, 17, 237, 87, 881, 583, 3473, 2579, 975, 1531, 50997, 76219}},
-{9648, 17, 33408, {1, 1, 7, 15, 31, 37, 79, 115, 95, 515, 2003, 2595, 4077, 4537, 9171, 31183, 41219}},
-{9649, 17, 33417, {1, 1, 1, 9, 21, 41, 93, 33, 211, 341, 233, 2217, 6657, 12913, 8329, 3881, 42563}},
-{9650, 17, 33420, {1, 3, 3, 11, 25, 3, 23, 197, 49, 339, 877, 1117, 7817, 14143, 1575, 50301, 92367}},
-{9651, 17, 33423, {1, 3, 5, 5, 19, 45, 69, 179, 447, 861, 1633, 1941, 5821, 1843, 4085, 23501, 109047}},
-{9652, 17, 33431, {1, 3, 1, 3, 31, 29, 49, 183, 311, 133, 345, 1541, 111, 5571, 1943, 11039, 127673}},
-{9653, 17, 33438, {1, 3, 1, 5, 3, 13, 63, 5, 59, 789, 71, 3271, 3871, 9105, 22525, 31, 117803}},
-{9654, 17, 33442, {1, 3, 1, 13, 31, 43, 97, 133, 313, 729, 287, 2971, 5623, 13183, 15179, 47271, 28853}},
-{9655, 17, 33444, {1, 1, 3, 13, 27, 15, 35, 37, 507, 139, 1933, 2847, 361, 10261, 21031, 3889, 56875}},
-{9656, 17, 33448, {1, 3, 1, 15, 31, 13, 45, 73, 279, 331, 471, 3881, 3295, 12035, 28329, 899, 47397}},
-{9657, 17, 33456, {1, 1, 3, 13, 1, 7, 81, 255, 315, 595, 43, 3919, 5229, 7953, 25711, 19509, 107181}},
-{9658, 17, 33459, {1, 1, 3, 15, 7, 33, 117, 169, 71, 577, 629, 3665, 7761, 13529, 26375, 17181, 22125}},
-{9659, 17, 33466, {1, 3, 5, 7, 5, 7, 1, 93, 489, 289, 329, 2273, 685, 14835, 11433, 26041, 112735}},
-{9660, 17, 33473, {1, 3, 3, 3, 9, 39, 45, 23, 171, 35, 571, 551, 7815, 6169, 24283, 61477, 71877}},
-{9661, 17, 33476, {1, 1, 5, 7, 23, 15, 81, 215, 297, 269, 655, 2059, 3643, 12741, 11955, 41085, 46047}},
-{9662, 17, 33491, {1, 1, 7, 5, 3, 35, 125, 141, 419, 137, 1031, 2053, 7925, 7267, 6267, 34323, 77495}},
-{9663, 17, 33494, {1, 1, 7, 11, 3, 57, 91, 43, 139, 691, 1569, 1825, 7855, 1093, 19263, 31601, 16019}},
-{9664, 17, 33507, {1, 3, 1, 5, 21, 7, 11, 225, 105, 757, 1493, 455, 4757, 12007, 5139, 3545, 79717}},
-{9665, 17, 33514, {1, 3, 1, 13, 17, 29, 125, 249, 475, 79, 1271, 341, 863, 853, 2105, 32897, 121261}},
-{9666, 17, 33521, {1, 3, 1, 11, 17, 59, 3, 29, 61, 399, 1465, 4029, 2103, 12481, 28495, 34363, 63781}},
-{9667, 17, 33528, {1, 3, 3, 15, 29, 13, 101, 191, 435, 215, 1355, 2263, 6059, 4545, 7535, 15041, 84091}},
-{9668, 17, 33534, {1, 1, 3, 9, 29, 23, 99, 55, 91, 145, 235, 2847, 725, 209, 24565, 16545, 103669}},
-{9669, 17, 33536, {1, 1, 1, 1, 31, 15, 93, 197, 207, 357, 667, 3511, 3865, 5329, 6491, 9027, 125979}},
-{9670, 17, 33551, {1, 3, 3, 13, 17, 35, 99, 187, 153, 589, 1633, 4053, 1023, 9541, 9841, 39585, 24885}},
-{9671, 17, 33554, {1, 3, 7, 11, 23, 5, 71, 89, 455, 665, 1221, 1821, 591, 11459, 503, 56777, 65691}},
-{9672, 17, 33563, {1, 3, 1, 1, 9, 33, 51, 203, 223, 709, 1263, 3535, 7753, 8279, 8673, 60259, 2671}},
-{9673, 17, 33575, {1, 1, 7, 9, 17, 63, 5, 229, 495, 435, 1711, 3359, 399, 15901, 28519, 56627, 8079}},
-{9674, 17, 33579, {1, 3, 5, 11, 9, 25, 49, 143, 275, 989, 461, 447, 1917, 9253, 28421, 1803, 119725}},
-{9675, 17, 33582, {1, 3, 3, 7, 25, 3, 39, 171, 303, 905, 1353, 2561, 7347, 7339, 15271, 61945, 26343}},
-{9676, 17, 33601, {1, 1, 1, 3, 5, 63, 9, 229, 107, 815, 1705, 3621, 2345, 3065, 16315, 17017, 33667}},
-{9677, 17, 33602, {1, 3, 5, 13, 29, 13, 91, 111, 475, 561, 443, 3825, 5331, 11211, 27639, 28305, 101831}},
-{9678, 17, 33614, {1, 3, 1, 9, 15, 33, 17, 47, 249, 89, 429, 3819, 1959, 14317, 10737, 28151, 40395}},
-{9679, 17, 33625, {1, 3, 7, 13, 19, 29, 83, 81, 511, 783, 823, 2865, 5823, 9459, 27413, 63297, 44181}},
-{9680, 17, 33628, {1, 3, 1, 1, 19, 53, 45, 227, 193, 631, 289, 1227, 6241, 6915, 16051, 31237, 50201}},
-{9681, 17, 33637, {1, 3, 7, 7, 15, 49, 77, 147, 421, 515, 927, 1561, 4391, 12943, 6807, 36889, 70249}},
-{9682, 17, 33656, {1, 3, 7, 7, 17, 15, 63, 123, 101, 283, 59, 977, 5185, 16161, 5007, 36255, 11537}},
-{9683, 17, 33665, {1, 1, 7, 1, 13, 17, 79, 35, 193, 947, 767, 1365, 2145, 13267, 30561, 51949, 37591}},
-{9684, 17, 33683, {1, 1, 1, 13, 11, 13, 91, 129, 355, 549, 295, 673, 209, 15953, 14703, 30857, 47967}},
-{9685, 17, 33695, {1, 3, 5, 9, 17, 17, 83, 161, 189, 585, 21, 1019, 4879, 15943, 17281, 46013, 94839}},
-{9686, 17, 33696, {1, 3, 5, 9, 23, 39, 65, 25, 181, 3, 2005, 635, 201, 9391, 8755, 38535, 88697}},
-{9687, 17, 33702, {1, 3, 1, 15, 13, 35, 47, 125, 429, 901, 895, 3495, 327, 397, 7847, 62157, 3489}},
-{9688, 17, 33708, {1, 3, 5, 3, 19, 21, 81, 39, 85, 169, 1981, 3323, 113, 2057, 16617, 58051, 55059}},
-{9689, 17, 33711, {1, 3, 1, 13, 9, 1, 101, 81, 129, 717, 1495, 4077, 5555, 93, 12957, 14805, 110219}},
-{9690, 17, 33716, {1, 3, 5, 5, 5, 47, 107, 111, 387, 987, 2009, 179, 1111, 3443, 25579, 12293, 123035}},
-{9691, 17, 33728, {1, 1, 7, 13, 21, 25, 33, 211, 9, 783, 1785, 2691, 6835, 2867, 22469, 17853, 90685}},
-{9692, 17, 33737, {1, 1, 3, 3, 19, 57, 59, 203, 197, 347, 553, 1361, 7593, 91, 15303, 30045, 86605}},
-{9693, 17, 33761, {1, 3, 5, 7, 29, 23, 1, 235, 159, 277, 1227, 1727, 1853, 9717, 2377, 13597, 18119}},
-{9694, 17, 33774, {1, 1, 1, 11, 15, 29, 5, 15, 349, 685, 197, 3127, 1075, 8847, 27873, 539, 57149}},
-{9695, 17, 33782, {1, 1, 7, 9, 23, 25, 121, 239, 219, 747, 1981, 2683, 5319, 75, 22569, 29697, 27627}},
-{9696, 17, 33788, {1, 3, 7, 5, 31, 43, 95, 131, 423, 547, 1437, 127, 1953, 861, 839, 54503, 20465}},
-{9697, 17, 33791, {1, 1, 5, 3, 29, 29, 71, 237, 275, 493, 513, 4067, 393, 9415, 20511, 29257, 86267}},
-{9698, 17, 33793, {1, 1, 1, 1, 25, 11, 59, 185, 211, 175, 37, 2999, 4919, 10225, 16727, 60447, 59985}},
-{9699, 17, 33811, {1, 1, 3, 3, 1, 9, 69, 195, 197, 677, 229, 599, 5613, 4537, 5495, 58801, 14297}},
-{9700, 17, 33813, {1, 3, 1, 15, 17, 23, 5, 101, 331, 943, 1433, 2199, 313, 469, 3651, 3281, 100119}},
-{9701, 17, 33818, {1, 1, 5, 15, 13, 25, 87, 45, 229, 821, 59, 761, 6259, 15159, 3197, 39763, 87301}},
-{9702, 17, 33829, {1, 3, 5, 7, 19, 21, 89, 15, 19, 623, 603, 4069, 3531, 13353, 21267, 6355, 53821}},
-{9703, 17, 33842, {1, 1, 5, 9, 13, 13, 111, 77, 439, 599, 1577, 959, 4567, 3117, 7127, 49265, 35667}},
-{9704, 17, 33854, {1, 3, 7, 9, 27, 61, 1, 19, 43, 475, 221, 655, 4351, 15827, 30489, 22245, 41077}},
-{9705, 17, 33856, {1, 1, 3, 13, 17, 17, 111, 85, 253, 11, 367, 2349, 4103, 12517, 27037, 42481, 84451}},
-{9706, 17, 33868, {1, 3, 5, 7, 7, 25, 53, 27, 429, 503, 893, 2923, 2539, 15849, 30157, 12111, 108893}},
-{9707, 17, 33879, {1, 1, 7, 9, 13, 29, 51, 113, 273, 745, 759, 263, 3031, 705, 23203, 64245, 127183}},
-{9708, 17, 33885, {1, 1, 1, 9, 29, 5, 25, 165, 261, 319, 645, 2199, 3135, 10263, 10711, 18713, 63337}},
-{9709, 17, 33886, {1, 1, 5, 1, 23, 41, 43, 71, 365, 683, 1107, 1671, 7079, 8933, 12815, 8095, 97955}},
-{9710, 17, 33892, {1, 3, 1, 15, 9, 43, 105, 217, 131, 299, 1459, 1087, 3493, 15297, 11741, 43383, 35021}},
-{9711, 17, 33907, {1, 3, 1, 3, 3, 57, 69, 7, 73, 977, 1163, 3591, 243, 13129, 23247, 20609, 22489}},
-{9712, 17, 33913, {1, 3, 7, 5, 1, 57, 65, 27, 121, 575, 903, 3527, 5601, 5597, 1941, 60079, 88121}},
-{9713, 17, 33923, {1, 3, 1, 3, 15, 3, 23, 87, 233, 389, 1671, 1557, 4825, 1017, 17697, 26735, 53421}},
-{9714, 17, 33925, {1, 3, 5, 3, 5, 43, 61, 249, 273, 251, 1383, 2415, 1061, 12363, 3071, 23785, 127909}},
-{9715, 17, 33935, {1, 3, 3, 13, 5, 63, 15, 165, 353, 603, 1627, 2037, 487, 11603, 719, 54693, 52645}},
-{9716, 17, 33937, {1, 3, 5, 11, 31, 41, 41, 83, 481, 251, 1903, 2655, 5237, 6073, 20201, 14069, 91649}},
-{9717, 17, 33954, {1, 3, 1, 15, 21, 41, 99, 61, 55, 63, 1595, 1805, 7625, 12261, 23275, 43471, 5147}},
-{9718, 17, 33963, {1, 3, 1, 5, 23, 21, 71, 169, 197, 51, 1653, 3053, 4663, 293, 12751, 15641, 83993}},
-{9719, 17, 33966, {1, 3, 5, 15, 29, 45, 55, 199, 275, 103, 1093, 3569, 5997, 9445, 2291, 30973, 68589}},
-{9720, 17, 33977, {1, 3, 5, 7, 15, 3, 15, 3, 287, 961, 1759, 1153, 7613, 9885, 8981, 5109, 112865}},
-{9721, 17, 33978, {1, 1, 1, 9, 1, 37, 111, 61, 309, 581, 875, 2121, 1035, 4345, 1351, 59743, 34955}},
-{9722, 17, 33991, {1, 3, 7, 7, 11, 23, 51, 235, 23, 697, 991, 1995, 3615, 6665, 15885, 18555, 11711}},
-{9723, 17, 33998, {1, 3, 7, 13, 3, 59, 87, 129, 405, 689, 1189, 2071, 877, 12347, 18381, 28367, 27247}},
-{9724, 17, 34012, {1, 1, 1, 9, 23, 29, 113, 71, 479, 421, 215, 1029, 6125, 13575, 10823, 45303, 3153}},
-{9725, 17, 34016, {1, 1, 3, 11, 13, 5, 31, 29, 279, 597, 791, 319, 1391, 14487, 3811, 36913, 11513}},
-{9726, 17, 34025, {1, 3, 7, 11, 9, 11, 55, 167, 69, 519, 1887, 145, 6133, 1307, 14465, 17419, 18319}},
-{9727, 17, 34033, {1, 1, 3, 1, 29, 25, 57, 75, 19, 187, 1591, 421, 959, 7499, 8377, 42811, 53423}},
-{9728, 17, 34036, {1, 3, 1, 3, 7, 9, 73, 217, 383, 755, 1561, 3923, 3891, 16129, 13195, 62097, 67493}},
-{9729, 17, 34045, {1, 3, 7, 9, 5, 7, 47, 29, 319, 243, 405, 2867, 5803, 2273, 4913, 54777, 88301}},
-{9730, 17, 34065, {1, 3, 7, 1, 25, 11, 51, 183, 387, 863, 39, 2119, 2395, 10175, 20833, 3235, 108197}},
-{9731, 17, 34078, {1, 1, 7, 13, 25, 43, 21, 67, 103, 709, 603, 1045, 7079, 8867, 29039, 61499, 39533}},
-{9732, 17, 34093, {1, 1, 7, 5, 7, 55, 77, 115, 409, 287, 1149, 1535, 7459, 5525, 27129, 43659, 86953}},
-{9733, 17, 34101, {1, 3, 5, 3, 21, 41, 47, 147, 267, 473, 1501, 2663, 5381, 41, 18265, 53845, 16039}},
-{9734, 17, 34108, {1, 1, 7, 15, 27, 63, 95, 103, 169, 1, 133, 3103, 7539, 5765, 11453, 4133, 95133}},
-{9735, 17, 34111, {1, 3, 3, 15, 3, 53, 121, 135, 385, 475, 889, 2557, 4937, 11129, 18461, 16757, 30339}},
-{9736, 17, 34120, {1, 3, 1, 13, 11, 39, 111, 13, 475, 201, 1973, 2151, 6973, 4083, 12593, 44093, 108037}},
-{9737, 17, 34123, {1, 3, 7, 9, 31, 31, 97, 235, 179, 689, 403, 1995, 7697, 7511, 29333, 11005, 50723}},
-{9738, 17, 34125, {1, 1, 7, 13, 23, 5, 7, 171, 441, 921, 1455, 3865, 7089, 5469, 10423, 53013, 80559}},
-{9739, 17, 34153, {1, 3, 5, 3, 25, 43, 105, 157, 507, 143, 297, 1111, 2761, 14103, 4965, 36733, 11741}},
-{9740, 17, 34171, {1, 3, 7, 9, 29, 61, 49, 239, 271, 697, 211, 1633, 2991, 14933, 12347, 44291, 12219}},
-{9741, 17, 34174, {1, 1, 7, 7, 17, 61, 29, 43, 87, 633, 937, 1931, 3541, 12259, 23045, 5923, 48479}},
-{9742, 17, 34178, {1, 3, 3, 3, 15, 25, 105, 17, 159, 863, 1377, 331, 1475, 10573, 28947, 8141, 26671}},
-{9743, 17, 34183, {1, 1, 7, 7, 31, 59, 81, 23, 467, 241, 1257, 1337, 7731, 9071, 3417, 51191, 78369}},
-{9744, 17, 34190, {1, 1, 5, 9, 11, 45, 49, 227, 319, 63, 1339, 885, 4571, 11649, 5607, 10509, 55055}},
-{9745, 17, 34201, {1, 3, 3, 9, 29, 17, 7, 235, 191, 927, 575, 1115, 4111, 14179, 2041, 13331, 29825}},
-{9746, 17, 34211, {1, 1, 5, 9, 27, 61, 71, 201, 341, 577, 221, 1371, 1135, 4347, 24211, 36171, 23435}},
-{9747, 17, 34220, {1, 3, 3, 1, 1, 29, 75, 121, 193, 647, 1429, 275, 5243, 783, 28533, 13941, 68035}},
-{9748, 17, 34225, {1, 3, 5, 15, 21, 27, 117, 183, 251, 991, 935, 3119, 5133, 2765, 7423, 28867, 120565}},
-{9749, 17, 34237, {1, 3, 5, 5, 13, 23, 29, 101, 299, 699, 1249, 1225, 1335, 6079, 17825, 60467, 87787}},
-{9750, 17, 34249, {1, 1, 1, 9, 15, 19, 11, 163, 433, 553, 1487, 813, 3293, 1195, 895, 28431, 62905}},
-{9751, 17, 34250, {1, 1, 1, 13, 25, 37, 111, 129, 391, 813, 1061, 4065, 7339, 10731, 23799, 41463, 99673}},
-{9752, 17, 34264, {1, 1, 7, 15, 3, 21, 45, 77, 471, 155, 967, 711, 4947, 13983, 27827, 28653, 117839}},
-{9753, 17, 34269, {1, 1, 5, 9, 13, 39, 107, 237, 233, 881, 297, 2189, 8085, 1221, 18659, 299, 90951}},
-{9754, 17, 34276, {1, 1, 1, 13, 21, 53, 83, 17, 487, 215, 1203, 3017, 7887, 3759, 10521, 31223, 87917}},
-{9755, 17, 34279, {1, 1, 7, 1, 13, 31, 123, 219, 127, 743, 1325, 3907, 129, 8901, 4855, 22509, 47331}},
-{9756, 17, 34293, {1, 1, 7, 11, 29, 37, 11, 157, 401, 35, 2037, 2873, 7409, 7837, 1247, 33911, 3979}},
-{9757, 17, 34303, {1, 1, 5, 15, 1, 13, 35, 253, 287, 1007, 1417, 1613, 6019, 11617, 6323, 56263, 45073}},
-{9758, 17, 34310, {1, 3, 1, 15, 1, 59, 41, 239, 373, 443, 897, 275, 5783, 8619, 18559, 16279, 92063}},
-{9759, 17, 34340, {1, 3, 1, 9, 23, 33, 83, 43, 231, 819, 1657, 1031, 5507, 12621, 8961, 23059, 63453}},
-{9760, 17, 34349, {1, 1, 7, 5, 29, 49, 21, 251, 267, 43, 729, 4013, 1497, 15489, 16761, 49689, 122755}},
-{9761, 17, 34352, {1, 3, 7, 1, 31, 21, 11, 149, 127, 711, 1249, 49, 5503, 677, 12313, 61301, 16279}},
-{9762, 17, 34355, {1, 1, 5, 11, 9, 15, 41, 61, 81, 991, 1387, 3567, 221, 15835, 8609, 28265, 98199}},
-{9763, 17, 34358, {1, 3, 1, 7, 21, 35, 13, 59, 173, 637, 107, 393, 4551, 6523, 27389, 33129, 45579}},
-{9764, 17, 34362, {1, 1, 1, 9, 29, 51, 65, 199, 417, 553, 1321, 2513, 4749, 8477, 19721, 24301, 16301}},
-{9765, 17, 34376, {1, 3, 5, 1, 25, 13, 7, 55, 163, 581, 1677, 2313, 6843, 15697, 3055, 53171, 59899}},
-{9766, 17, 34381, {1, 3, 1, 5, 31, 13, 101, 195, 235, 359, 911, 1017, 2575, 12801, 997, 7819, 73243}},
-{9767, 17, 34387, {1, 1, 7, 1, 9, 39, 59, 83, 57, 885, 317, 2689, 5741, 11833, 25563, 62581, 62239}},
-{9768, 17, 34389, {1, 1, 5, 15, 25, 25, 55, 207, 223, 907, 913, 387, 5599, 15567, 8859, 13703, 66071}},
-{9769, 17, 34394, {1, 1, 5, 15, 19, 39, 83, 177, 333, 531, 1257, 2687, 7793, 15967, 19175, 1381, 106629}},
-{9770, 17, 34410, {1, 3, 5, 13, 29, 29, 77, 1, 273, 483, 725, 3825, 5115, 4043, 11571, 8693, 49761}},
-{9771, 17, 34423, {1, 1, 7, 3, 5, 45, 37, 65, 267, 191, 301, 2863, 167, 9303, 14563, 41553, 119561}},
-{9772, 17, 34434, {1, 1, 7, 5, 21, 41, 107, 213, 267, 427, 699, 1485, 2125, 16011, 29243, 4691, 50545}},
-{9773, 17, 34436, {1, 3, 3, 9, 15, 29, 81, 53, 289, 689, 933, 2667, 5175, 10409, 28221, 56375, 49109}},
-{9774, 17, 34448, {1, 1, 1, 15, 3, 11, 77, 107, 353, 349, 219, 1961, 7559, 10081, 25119, 46041, 103827}},
-{9775, 17, 34453, {1, 3, 3, 1, 5, 27, 109, 17, 271, 543, 565, 397, 2649, 12037, 4525, 37835, 107071}},
-{9776, 17, 34454, {1, 1, 5, 15, 3, 37, 123, 157, 389, 619, 1379, 4093, 6107, 4419, 21011, 36189, 21269}},
-{9777, 17, 34460, {1, 3, 1, 7, 25, 17, 37, 133, 247, 113, 985, 815, 441, 7869, 25121, 49459, 429}},
-{9778, 17, 34464, {1, 3, 3, 11, 7, 23, 59, 51, 403, 685, 2019, 1167, 7973, 6915, 10819, 43807, 127793}},
-{9779, 17, 34479, {1, 1, 3, 1, 29, 3, 125, 107, 305, 101, 391, 2733, 6883, 5867, 5139, 16025, 112439}},
-{9780, 17, 34491, {1, 1, 5, 5, 23, 23, 89, 33, 275, 451, 1033, 649, 3761, 4735, 26021, 9627, 102747}},
-{9781, 17, 34501, {1, 1, 5, 13, 3, 17, 117, 251, 425, 917, 759, 3047, 8171, 14421, 27765, 11085, 64889}},
-{9782, 17, 34508, {1, 3, 1, 9, 7, 23, 107, 143, 123, 413, 2045, 655, 6283, 8783, 20263, 55463, 33271}},
-{9783, 17, 34516, {1, 3, 7, 11, 5, 49, 73, 55, 465, 43, 587, 3943, 521, 12357, 16273, 26603, 23219}},
-{9784, 17, 34529, {1, 3, 5, 13, 9, 3, 127, 171, 271, 227, 993, 1427, 2235, 6325, 13501, 1411, 44393}},
-{9785, 17, 34530, {1, 1, 1, 3, 13, 27, 19, 37, 175, 423, 5, 3403, 5427, 16345, 30297, 11909, 104647}},
-{9786, 17, 34553, {1, 3, 1, 3, 3, 39, 111, 179, 487, 923, 1945, 1609, 4689, 11807, 13725, 3081, 48163}},
-{9787, 17, 34564, {1, 3, 1, 1, 9, 35, 7, 151, 109, 925, 1249, 3171, 1207, 2053, 5135, 34821, 57291}},
-{9788, 17, 34568, {1, 1, 5, 13, 31, 35, 101, 199, 499, 725, 1229, 2857, 6437, 503, 14437, 35721, 24971}},
-{9789, 17, 34571, {1, 1, 1, 15, 3, 49, 75, 101, 373, 119, 875, 245, 15, 12937, 4731, 13037, 1555}},
-{9790, 17, 34582, {1, 1, 1, 7, 15, 5, 53, 5, 423, 69, 73, 2139, 383, 4035, 6723, 59941, 124503}},
-{9791, 17, 34586, {1, 1, 3, 13, 1, 23, 29, 47, 145, 785, 1013, 1579, 4579, 107, 17571, 46311, 27777}},
-{9792, 17, 34598, {1, 1, 1, 5, 23, 25, 97, 75, 105, 183, 827, 3871, 2005, 6453, 28729, 42583, 62979}},
-{9793, 17, 34604, {1, 3, 5, 9, 11, 49, 29, 201, 333, 441, 429, 1955, 5301, 11775, 22915, 58693, 111917}},
-{9794, 17, 34610, {1, 3, 3, 1, 15, 37, 117, 223, 319, 181, 61, 177, 507, 14871, 16419, 34261, 106937}},
-{9795, 17, 34619, {1, 3, 3, 9, 25, 27, 81, 253, 459, 5, 693, 1271, 485, 16171, 427, 17917, 4393}},
-{9796, 17, 34621, {1, 3, 3, 1, 27, 47, 11, 57, 269, 95, 569, 2733, 3275, 1599, 15073, 58071, 86805}},
-{9797, 17, 34633, {1, 3, 7, 13, 21, 57, 75, 63, 53, 487, 251, 3193, 4279, 2311, 6613, 38319, 93557}},
-{9798, 17, 34634, {1, 3, 5, 5, 31, 35, 39, 255, 11, 81, 605, 1457, 6367, 14121, 8069, 46653, 79945}},
-{9799, 17, 34657, {1, 1, 1, 7, 17, 19, 19, 247, 13, 757, 1069, 2811, 4969, 10943, 29399, 4153, 120817}},
-{9800, 17, 34682, {1, 1, 1, 15, 31, 13, 1, 247, 157, 785, 1565, 897, 4825, 8375, 4933, 60671, 88403}},
-{9801, 17, 34688, {1, 3, 3, 7, 31, 53, 117, 207, 243, 603, 625, 1039, 5725, 5021, 20227, 28613, 123759}},
-{9802, 17, 34691, {1, 1, 5, 1, 7, 29, 65, 153, 393, 821, 295, 2705, 5999, 15801, 31301, 15545, 52917}},
-{9803, 17, 34694, {1, 1, 1, 1, 11, 51, 97, 143, 27, 279, 1005, 1235, 5539, 1523, 26293, 35015, 47835}},
-{9804, 17, 34706, {1, 3, 3, 13, 27, 17, 123, 147, 39, 35, 567, 961, 5431, 5557, 17849, 46675, 102181}},
-{9805, 17, 34708, {1, 1, 7, 11, 7, 25, 73, 223, 459, 207, 1637, 647, 2057, 685, 24539, 48809, 26877}},
-{9806, 17, 34724, {1, 3, 1, 3, 21, 43, 121, 11, 431, 383, 1703, 1451, 2349, 11845, 13801, 20589, 43125}},
-{9807, 17, 34727, {1, 1, 5, 1, 27, 29, 89, 233, 437, 303, 853, 3425, 263, 2073, 14111, 39129, 59547}},
-{9808, 17, 34751, {1, 1, 1, 3, 3, 47, 99, 207, 261, 179, 1761, 2657, 4339, 6567, 25455, 18729, 51431}},
-{9809, 17, 34753, {1, 3, 3, 13, 5, 5, 109, 125, 123, 233, 1713, 1539, 4375, 12187, 18355, 49597, 109959}},
-{9810, 17, 34759, {1, 3, 7, 7, 9, 23, 45, 193, 363, 837, 855, 1413, 7587, 9091, 27907, 17809, 63249}},
-{9811, 17, 34763, {1, 3, 3, 9, 19, 23, 63, 85, 419, 1007, 1753, 539, 1471, 2171, 9239, 36289, 105503}},
-{9812, 17, 34777, {1, 3, 1, 11, 23, 5, 105, 79, 473, 879, 1623, 3155, 5157, 4699, 697, 41919, 15441}},
-{9813, 17, 34778, {1, 1, 7, 11, 5, 21, 43, 207, 491, 355, 857, 2325, 819, 15849, 24529, 5789, 110661}},
-{9814, 17, 34780, {1, 1, 5, 15, 19, 33, 81, 137, 473, 853, 1681, 3841, 5617, 13715, 1987, 52983, 66327}},
-{9815, 17, 34796, {1, 3, 5, 7, 11, 31, 69, 85, 33, 197, 1771, 1957, 1311, 169, 14159, 7327, 8577}},
-{9816, 17, 34799, {1, 1, 3, 9, 11, 23, 19, 143, 9, 579, 111, 2973, 3567, 8561, 10447, 55875, 64305}},
-{9817, 17, 34801, {1, 1, 5, 7, 1, 17, 93, 11, 423, 1007, 839, 719, 3965, 14531, 17301, 29577, 4083}},
-{9818, 17, 34817, {1, 3, 5, 13, 19, 17, 123, 61, 59, 115, 1165, 579, 2545, 633, 5597, 21865, 109167}},
-{9819, 17, 34824, {1, 1, 5, 3, 29, 29, 99, 163, 321, 367, 1523, 3719, 665, 15843, 28831, 63823, 113533}},
-{9820, 17, 34827, {1, 1, 1, 3, 15, 7, 85, 1, 181, 759, 537, 3315, 7159, 4363, 4183, 53775, 8801}},
-{9821, 17, 34837, {1, 3, 1, 1, 15, 53, 9, 35, 459, 417, 1169, 2055, 1175, 10923, 335, 24269, 93001}},
-{9822, 17, 34841, {1, 3, 1, 5, 31, 43, 51, 149, 175, 541, 629, 1147, 7585, 9725, 18623, 13345, 65391}},
-{9823, 17, 34853, {1, 3, 7, 1, 13, 39, 13, 217, 507, 765, 721, 1491, 5037, 6267, 2871, 19181, 123751}},
-{9824, 17, 34858, {1, 1, 3, 5, 21, 9, 123, 195, 63, 347, 7, 531, 3015, 9457, 29543, 51479, 26607}},
-{9825, 17, 34877, {1, 1, 1, 1, 21, 15, 81, 127, 429, 15, 901, 1503, 1919, 6515, 2477, 53571, 113447}},
-{9826, 17, 34886, {1, 3, 1, 13, 9, 33, 79, 169, 499, 767, 441, 2085, 2429, 10213, 4125, 2611, 26137}},
-{9827, 17, 34895, {1, 1, 3, 1, 19, 23, 83, 179, 447, 513, 913, 1201, 1861, 11595, 29037, 7775, 116417}},
-{9828, 17, 34897, {1, 3, 3, 7, 3, 57, 47, 183, 413, 319, 1375, 1401, 2231, 14331, 28625, 43839, 102717}},
-{9829, 17, 34898, {1, 1, 5, 11, 31, 27, 111, 85, 191, 155, 2025, 1501, 4991, 4655, 3451, 10219, 60391}},
-{9830, 17, 34916, {1, 3, 3, 7, 17, 19, 113, 37, 423, 479, 709, 3659, 6567, 1709, 13483, 61821, 77101}},
-{9831, 17, 34923, {1, 3, 1, 13, 3, 17, 73, 61, 275, 359, 1341, 449, 1373, 12047, 11207, 52651, 83305}},
-{9832, 17, 34928, {1, 1, 7, 9, 9, 45, 15, 121, 15, 51, 509, 2189, 5057, 6119, 11669, 14559, 108323}},
-{9833, 17, 34934, {1, 1, 7, 7, 25, 13, 13, 141, 157, 249, 823, 821, 1909, 5925, 3505, 13187, 19237}},
-{9834, 17, 34940, {1, 3, 3, 1, 9, 51, 79, 91, 5, 709, 787, 2427, 4613, 7307, 20141, 1675, 49779}},
-{9835, 17, 34944, {1, 1, 1, 11, 11, 13, 33, 81, 413, 981, 907, 2709, 4113, 10607, 2587, 12845, 11103}},
-{9836, 17, 34947, {1, 1, 7, 9, 13, 25, 37, 81, 375, 1013, 2027, 321, 3947, 2269, 10687, 7537, 67495}},
-{9837, 17, 34953, {1, 3, 5, 11, 9, 43, 53, 111, 339, 841, 503, 3209, 6437, 10893, 13627, 51809, 57229}},
-{9838, 17, 34956, {1, 3, 1, 1, 21, 15, 71, 93, 453, 405, 1099, 2979, 7471, 10173, 17875, 13179, 48615}},
-{9839, 17, 34967, {1, 3, 5, 9, 9, 1, 121, 117, 275, 157, 57, 3459, 4787, 15005, 24591, 23963, 45077}},
-{9840, 17, 34968, {1, 1, 5, 3, 21, 57, 113, 207, 169, 603, 637, 1455, 6281, 6527, 17219, 32307, 18617}},
-{9841, 17, 34971, {1, 3, 7, 5, 25, 15, 99, 91, 253, 267, 537, 713, 3929, 895, 7999, 47989, 118731}},
-{9842, 17, 34974, {1, 3, 7, 15, 23, 17, 5, 129, 121, 251, 219, 2547, 7291, 1079, 14577, 56229, 35253}},
-{9843, 17, 34977, {1, 3, 1, 15, 5, 61, 35, 135, 497, 681, 751, 2303, 6697, 11225, 30389, 61673, 87313}},
-{9844, 17, 34980, {1, 3, 1, 7, 7, 37, 9, 85, 257, 805, 1325, 3597, 6065, 727, 18203, 57077, 437}},
-{9845, 17, 34983, {1, 3, 5, 7, 5, 43, 29, 179, 73, 173, 1441, 1233, 1779, 7893, 10629, 27547, 7775}},
-{9846, 17, 34998, {1, 1, 7, 5, 31, 29, 21, 35, 289, 423, 449, 3331, 2929, 6827, 15569, 9873, 76889}},
-{9847, 17, 35004, {1, 1, 7, 13, 13, 37, 55, 99, 135, 797, 1263, 2539, 893, 4225, 16689, 38259, 50857}},
-{9848, 17, 35010, {1, 1, 3, 1, 5, 3, 95, 29, 15, 539, 825, 3931, 4809, 8299, 29891, 61357, 97523}},
-{9849, 17, 35012, {1, 3, 1, 9, 27, 25, 115, 239, 387, 163, 1153, 31, 2375, 7943, 31929, 1121, 33085}},
-{9850, 17, 35030, {1, 3, 5, 9, 3, 53, 121, 159, 165, 81, 317, 3051, 1991, 493, 2029, 43305, 130209}},
-{9851, 17, 35039, {1, 1, 1, 5, 9, 57, 39, 247, 73, 613, 1047, 3289, 2569, 5363, 18475, 32749, 39415}},
-{9852, 17, 35058, {1, 3, 1, 5, 19, 23, 39, 33, 151, 463, 153, 737, 2501, 7531, 2769, 35595, 71799}},
-{9853, 17, 35063, {1, 3, 5, 5, 29, 49, 105, 81, 67, 441, 1101, 2241, 6243, 6177, 7157, 51635, 81241}},
-{9854, 17, 35082, {1, 3, 3, 3, 29, 53, 13, 239, 487, 503, 97, 1323, 1817, 13021, 12881, 26943, 21011}},
-{9855, 17, 35095, {1, 1, 1, 15, 25, 9, 5, 205, 85, 635, 789, 2495, 5069, 4987, 847, 26857, 84225}},
-{9856, 17, 35096, {1, 1, 3, 15, 9, 51, 79, 13, 377, 637, 159, 3407, 2057, 13967, 31781, 40869, 52987}},
-{9857, 17, 35101, {1, 3, 1, 13, 11, 27, 103, 207, 383, 887, 749, 1119, 285, 4269, 31745, 57539, 5671}},
-{9858, 17, 35102, {1, 3, 1, 13, 23, 19, 41, 43, 455, 425, 1653, 4091, 4855, 16321, 169, 59289, 82397}},
-{9859, 17, 35105, {1, 3, 3, 15, 31, 39, 51, 127, 391, 989, 1831, 3327, 6487, 6077, 17277, 52093, 20389}},
-{9860, 17, 35112, {1, 3, 5, 15, 19, 1, 21, 241, 15, 543, 1529, 2355, 1503, 12795, 17321, 41219, 61115}},
-{9861, 17, 35118, {1, 1, 3, 11, 9, 33, 21, 197, 307, 141, 1663, 371, 1663, 8307, 3617, 56941, 62477}},
-{9862, 17, 35120, {1, 3, 7, 9, 19, 53, 123, 3, 29, 635, 1795, 2471, 2491, 15847, 9169, 2561, 101515}},
-{9863, 17, 35130, {1, 1, 5, 3, 19, 11, 117, 231, 475, 837, 1833, 3499, 4415, 9961, 28285, 37821, 81497}},
-{9864, 17, 35143, {1, 1, 3, 5, 7, 11, 57, 89, 345, 157, 1519, 3021, 7157, 2159, 32557, 31559, 128907}},
-{9865, 17, 35147, {1, 1, 7, 3, 27, 1, 15, 177, 489, 405, 811, 3597, 4939, 15595, 7279, 58097, 84703}},
-{9866, 17, 35152, {1, 3, 1, 9, 25, 61, 119, 219, 111, 339, 1091, 759, 6087, 16001, 6757, 15627, 1691}},
-{9867, 17, 35157, {1, 3, 7, 9, 1, 39, 107, 139, 143, 917, 421, 1623, 7135, 4851, 6687, 6177, 102425}},
-{9868, 17, 35164, {1, 1, 7, 13, 23, 17, 19, 167, 317, 331, 743, 3737, 2195, 545, 2185, 9125, 30503}},
-{9869, 17, 35178, {1, 1, 5, 13, 27, 33, 117, 141, 493, 129, 1553, 2335, 4161, 14205, 24177, 35163, 84869}},
-{9870, 17, 35195, {1, 3, 7, 1, 11, 9, 75, 133, 113, 507, 2007, 2473, 4769, 14655, 17967, 17709, 90653}},
-{9871, 17, 35197, {1, 1, 7, 11, 17, 11, 83, 23, 387, 61, 29, 3905, 4351, 15173, 28375, 9129, 111939}},
-{9872, 17, 35201, {1, 1, 5, 15, 15, 53, 81, 125, 189, 937, 1607, 2595, 2847, 7229, 22241, 26269, 64781}},
-{9873, 17, 35207, {1, 3, 1, 7, 5, 11, 61, 111, 13, 423, 885, 2329, 6003, 16331, 11207, 25743, 54619}},
-{9874, 17, 35231, {1, 3, 5, 9, 1, 13, 95, 241, 237, 629, 263, 1629, 1063, 12695, 14501, 5455, 121483}},
-{9875, 17, 35249, {1, 1, 7, 15, 5, 17, 45, 255, 143, 79, 87, 1755, 6215, 5095, 32411, 8695, 85511}},
-{9876, 17, 35250, {1, 3, 7, 7, 21, 11, 117, 135, 333, 73, 1471, 2749, 5801, 4209, 9353, 46171, 90645}},
-{9877, 17, 35256, {1, 1, 7, 13, 11, 35, 77, 149, 159, 783, 1527, 2881, 1409, 3455, 26991, 3225, 30693}},
-{9878, 17, 35259, {1, 1, 3, 15, 19, 55, 21, 245, 207, 103, 775, 2041, 4637, 7333, 11267, 60509, 43099}},
-{9879, 17, 35262, {1, 3, 3, 15, 17, 63, 23, 81, 183, 923, 75, 391, 615, 13343, 20839, 56529, 115747}},
-{9880, 17, 35273, {1, 3, 1, 13, 5, 5, 15, 27, 263, 497, 1365, 2733, 5395, 7461, 2725, 24735, 89251}},
-{9881, 17, 35282, {1, 1, 7, 7, 29, 17, 39, 117, 363, 915, 123, 283, 4575, 3497, 20995, 37883, 16645}},
-{9882, 17, 35298, {1, 3, 3, 9, 1, 25, 79, 181, 331, 617, 393, 1807, 5145, 8007, 9173, 45189, 37945}},
-{9883, 17, 35307, {1, 3, 1, 5, 1, 9, 127, 137, 379, 371, 367, 3237, 581, 15295, 18191, 37689, 103495}},
-{9884, 17, 35328, {1, 1, 7, 1, 29, 53, 103, 173, 171, 973, 933, 3847, 3185, 10107, 31701, 45021, 106251}},
-{9885, 17, 35334, {1, 1, 1, 7, 23, 9, 61, 25, 343, 471, 2041, 2179, 7647, 1885, 15353, 50379, 67681}},
-{9886, 17, 35343, {1, 1, 5, 11, 31, 13, 51, 185, 83, 917, 85, 1317, 8185, 14949, 32455, 57939, 1217}},
-{9887, 17, 35345, {1, 1, 7, 5, 23, 45, 101, 227, 497, 941, 985, 167, 6847, 9611, 20011, 40069, 83285}},
-{9888, 17, 35355, {1, 1, 5, 13, 17, 33, 61, 197, 433, 255, 67, 1479, 5663, 6501, 30695, 27235, 80141}},
-{9889, 17, 35388, {1, 1, 3, 5, 11, 45, 123, 49, 327, 893, 1963, 2225, 2611, 8925, 22811, 2313, 8411}},
-{9890, 17, 35399, {1, 3, 7, 7, 15, 39, 75, 235, 13, 847, 575, 3947, 6947, 2061, 13467, 103, 86285}},
-{9891, 17, 35403, {1, 1, 7, 3, 21, 43, 113, 197, 141, 873, 1139, 2707, 7235, 10683, 10831, 33695, 57063}},
-{9892, 17, 35408, {1, 3, 5, 1, 3, 27, 45, 43, 119, 979, 1933, 1851, 6497, 14937, 4965, 41285, 120221}},
-{9893, 17, 35413, {1, 1, 3, 1, 23, 59, 67, 7, 49, 351, 1053, 1837, 501, 7671, 26239, 51951, 95119}},
-{9894, 17, 35418, {1, 3, 5, 11, 3, 19, 33, 33, 219, 175, 1439, 197, 1841, 159, 11229, 20463, 81797}},
-{9895, 17, 35434, {1, 1, 7, 1, 13, 11, 79, 75, 53, 525, 91, 233, 5999, 2921, 21295, 56831, 116049}},
-{9896, 17, 35436, {1, 3, 3, 13, 29, 7, 71, 207, 193, 635, 1393, 3093, 3775, 12445, 23281, 29401, 103225}},
-{9897, 17, 35448, {1, 1, 7, 3, 29, 57, 111, 163, 63, 593, 881, 1587, 3027, 12599, 30977, 38891, 95495}},
-{9898, 17, 35460, {1, 1, 5, 15, 17, 57, 111, 169, 149, 767, 377, 765, 7533, 1539, 22979, 55489, 29799}},
-{9899, 17, 35475, {1, 3, 5, 15, 25, 7, 127, 71, 319, 389, 497, 1513, 1287, 7359, 12311, 45457, 45897}},
-{9900, 17, 35494, {1, 1, 5, 3, 3, 35, 45, 17, 49, 483, 197, 727, 5355, 7201, 3035, 14313, 40933}},
-{9901, 17, 35497, {1, 1, 7, 15, 1, 9, 27, 59, 455, 653, 1907, 281, 1435, 14593, 18909, 37655, 87603}},
-{9902, 17, 35503, {1, 1, 7, 11, 29, 9, 67, 17, 353, 709, 859, 3687, 7741, 4251, 12263, 41717, 79393}},
-{9903, 17, 35508, {1, 3, 3, 3, 1, 15, 113, 187, 255, 851, 503, 4089, 7923, 1701, 305, 8353, 16357}},
-{9904, 17, 35511, {1, 1, 5, 3, 17, 31, 29, 233, 377, 215, 1889, 3459, 2443, 3907, 4193, 16519, 49089}},
-{9905, 17, 35518, {1, 1, 3, 1, 17, 39, 11, 255, 247, 305, 669, 1769, 1355, 12055, 2275, 51681, 112337}},
-{9906, 17, 35520, {1, 3, 1, 1, 17, 17, 75, 95, 409, 21, 1513, 1443, 4931, 6491, 1587, 62979, 90395}},
-{9907, 17, 35530, {1, 1, 3, 5, 3, 19, 125, 175, 279, 911, 301, 407, 7773, 949, 32107, 13571, 58717}},
-{9908, 17, 35537, {1, 3, 3, 15, 31, 35, 11, 223, 125, 209, 1719, 1725, 3387, 14879, 32243, 7219, 126791}},
-{9909, 17, 35543, {1, 1, 3, 1, 31, 29, 67, 79, 93, 193, 1573, 2285, 3209, 8397, 17717, 5657, 61545}},
-{9910, 17, 35560, {1, 3, 1, 9, 11, 33, 85, 121, 193, 63, 461, 1835, 889, 10687, 19831, 49551, 59087}},
-{9911, 17, 35566, {1, 3, 3, 7, 11, 3, 9, 87, 91, 487, 289, 1113, 8135, 7971, 16693, 31009, 81197}},
-{9912, 17, 35571, {1, 3, 3, 1, 23, 23, 61, 209, 409, 845, 547, 1493, 465, 6399, 17633, 53647, 52425}},
-{9913, 17, 35598, {1, 1, 7, 7, 21, 31, 71, 249, 63, 895, 653, 93, 4429, 8951, 16873, 48089, 33947}},
-{9914, 17, 35609, {1, 3, 5, 11, 3, 35, 49, 15, 379, 645, 855, 3657, 8019, 2141, 11233, 60731, 80455}},
-{9915, 17, 35612, {1, 3, 1, 3, 1, 53, 101, 157, 255, 765, 1575, 1615, 7677, 9699, 13351, 2207, 90939}},
-{9916, 17, 35615, {1, 3, 7, 7, 5, 43, 123, 109, 119, 391, 1889, 1991, 3151, 1457, 16321, 65245, 75891}},
-{9917, 17, 35616, {1, 3, 1, 15, 9, 1, 113, 249, 1, 675, 501, 487, 2209, 4411, 6609, 29243, 100177}},
-{9918, 17, 35622, {1, 1, 1, 7, 9, 23, 9, 197, 341, 191, 453, 3733, 5475, 15515, 28979, 36077, 17801}},
-{9919, 17, 35626, {1, 1, 3, 13, 5, 35, 85, 121, 59, 429, 1251, 3437, 3121, 12411, 14713, 28125, 31921}},
-{9920, 17, 35633, {1, 3, 5, 3, 27, 17, 61, 255, 485, 709, 83, 3201, 2191, 3371, 2941, 10931, 22141}},
-{9921, 17, 35636, {1, 1, 1, 1, 19, 19, 25, 177, 397, 579, 529, 1619, 3887, 4537, 8123, 52481, 8305}},
-{9922, 17, 35645, {1, 1, 3, 15, 3, 15, 77, 51, 31, 881, 203, 2359, 4947, 6321, 14705, 16471, 84395}},
-{9923, 17, 35653, {1, 3, 7, 9, 13, 53, 67, 41, 289, 721, 1743, 2725, 435, 1327, 14953, 14283, 113211}},
-{9924, 17, 35663, {1, 3, 1, 5, 19, 23, 73, 181, 187, 675, 125, 1877, 6167, 7919, 3955, 25007, 28299}},
-{9925, 17, 35665, {1, 1, 3, 1, 5, 11, 123, 189, 173, 123, 499, 2175, 483, 13017, 14709, 5797, 36327}},
-{9926, 17, 35682, {1, 3, 7, 5, 21, 39, 79, 229, 19, 203, 375, 3901, 1053, 14209, 13535, 63155, 99727}},
-{9927, 17, 35687, {1, 1, 1, 13, 11, 29, 29, 173, 441, 271, 1147, 2891, 965, 10777, 16325, 37135, 101601}},
-{9928, 17, 35688, {1, 1, 3, 3, 25, 13, 79, 233, 75, 191, 987, 3231, 3667, 1525, 14193, 62027, 77441}},
-{9929, 17, 35691, {1, 3, 1, 1, 15, 53, 17, 45, 367, 263, 425, 1565, 6139, 13833, 12547, 61103, 75361}},
-{9930, 17, 35696, {1, 1, 5, 15, 5, 57, 123, 47, 407, 887, 375, 1181, 5367, 10283, 24799, 33121, 76373}},
-{9931, 17, 35727, {1, 1, 7, 3, 11, 17, 65, 133, 3, 609, 601, 3391, 7801, 4137, 32095, 55983, 23037}},
-{9932, 17, 35741, {1, 3, 1, 3, 25, 5, 125, 5, 297, 571, 145, 3601, 1929, 13457, 16977, 21049, 92169}},
-{9933, 17, 35742, {1, 3, 5, 13, 23, 29, 13, 143, 507, 187, 857, 427, 5125, 1377, 10947, 58473, 110541}},
-{9934, 17, 35746, {1, 3, 3, 15, 15, 49, 39, 103, 193, 507, 639, 2399, 3829, 12105, 15993, 52975, 115935}},
-{9935, 17, 35748, {1, 3, 7, 3, 7, 41, 95, 127, 193, 923, 1729, 3039, 7959, 3345, 7725, 35293, 34361}},
-{9936, 17, 35752, {1, 3, 5, 13, 17, 53, 111, 141, 151, 389, 1955, 3333, 4523, 6331, 21239, 57447, 113325}},
-{9937, 17, 35770, {1, 3, 7, 15, 31, 7, 11, 35, 105, 607, 1665, 3281, 487, 9417, 26205, 26963, 81537}},
-{9938, 17, 35811, {1, 3, 1, 1, 17, 15, 3, 55, 451, 691, 1525, 2009, 6443, 4629, 15091, 46961, 83361}},
-{9939, 17, 35817, {1, 3, 1, 15, 1, 29, 99, 79, 225, 665, 623, 2389, 3303, 7221, 20567, 15917, 24677}},
-{9940, 17, 35832, {1, 1, 3, 15, 3, 17, 125, 239, 485, 849, 327, 1459, 3911, 2145, 14475, 24337, 19695}},
-{9941, 17, 35838, {1, 3, 5, 7, 7, 37, 19, 51, 373, 587, 147, 563, 7623, 7781, 18289, 37239, 6803}},
-{9942, 17, 35850, {1, 3, 5, 1, 9, 63, 5, 87, 171, 5, 1553, 429, 5001, 7881, 1493, 20425, 57727}},
-{9943, 17, 35863, {1, 3, 5, 9, 25, 43, 17, 71, 87, 869, 1219, 2661, 4571, 9689, 18799, 62467, 128531}},
-{9944, 17, 35870, {1, 1, 3, 3, 19, 53, 61, 9, 55, 433, 1555, 2369, 1423, 9081, 19185, 8513, 111079}},
-{9945, 17, 35879, {1, 3, 5, 15, 11, 61, 1, 147, 17, 71, 1563, 1113, 4809, 16229, 23743, 59757, 64699}},
-{9946, 17, 35880, {1, 1, 5, 11, 29, 23, 61, 43, 203, 97, 1119, 237, 6445, 14507, 9799, 18447, 14745}},
-{9947, 17, 35891, {1, 3, 5, 15, 11, 17, 117, 139, 117, 537, 251, 149, 2731, 15863, 1381, 25435, 25501}},
-{9948, 17, 35893, {1, 3, 3, 15, 31, 57, 53, 43, 95, 445, 1423, 3833, 2485, 11789, 16011, 8101, 39165}},
-{9949, 17, 35903, {1, 1, 3, 11, 15, 37, 117, 3, 245, 57, 593, 2771, 7181, 11397, 5691, 3217, 44139}},
-{9950, 17, 35905, {1, 3, 5, 1, 11, 13, 121, 85, 85, 511, 1837, 611, 237, 4893, 24025, 28903, 102025}},
-{9951, 17, 35926, {1, 3, 1, 11, 5, 45, 43, 45, 393, 741, 1157, 1511, 1665, 2359, 19071, 24537, 122879}},
-{9952, 17, 35930, {1, 3, 3, 3, 9, 59, 27, 11, 257, 203, 1535, 2729, 2313, 3539, 1689, 31901, 42949}},
-{9953, 17, 35941, {1, 1, 1, 11, 17, 7, 21, 35, 479, 697, 107, 1317, 6585, 705, 3789, 20439, 33375}},
-{9954, 17, 35956, {1, 1, 3, 11, 19, 37, 123, 233, 253, 733, 901, 3047, 3595, 2357, 24533, 40519, 109171}},
-{9955, 17, 35963, {1, 3, 3, 13, 29, 51, 25, 149, 57, 253, 2001, 351, 7367, 15361, 4955, 60951, 19449}},
-{9956, 17, 35970, {1, 1, 3, 15, 21, 53, 25, 239, 257, 437, 711, 3599, 5441, 7405, 15039, 19207, 63841}},
-{9957, 17, 35984, {1, 3, 1, 9, 17, 41, 43, 231, 413, 747, 1447, 1407, 2615, 14529, 10781, 20001, 82713}},
-{9958, 17, 35996, {1, 3, 7, 7, 9, 29, 25, 55, 53, 423, 1711, 2871, 2675, 421, 31703, 57099, 2955}},
-{9959, 17, 36005, {1, 3, 1, 7, 31, 17, 113, 83, 387, 611, 1815, 2137, 3453, 4409, 20377, 60263, 81205}},
-{9960, 17, 36012, {1, 1, 5, 3, 11, 1, 7, 225, 367, 267, 95, 939, 3801, 2619, 1207, 62695, 116407}},
-{9961, 17, 36015, {1, 3, 3, 9, 5, 39, 85, 45, 247, 483, 491, 865, 3493, 8243, 8411, 26449, 50473}},
-{9962, 17, 36030, {1, 3, 3, 9, 1, 53, 23, 127, 13, 529, 1925, 2629, 3451, 15073, 16075, 29909, 34101}},
-{9963, 17, 36035, {1, 3, 1, 11, 1, 9, 125, 57, 79, 633, 979, 3843, 325, 883, 7769, 40155, 104057}},
-{9964, 17, 36042, {1, 1, 7, 13, 23, 53, 27, 157, 493, 901, 1077, 1079, 1327, 15903, 20603, 64377, 103335}},
-{9965, 17, 36047, {1, 3, 3, 3, 3, 35, 37, 167, 73, 301, 385, 1045, 6913, 2269, 22491, 19735, 70125}},
-{9966, 17, 36049, {1, 1, 1, 11, 5, 23, 23, 85, 267, 845, 207, 77, 1245, 16209, 25579, 12417, 48723}},
-{9967, 17, 36059, {1, 1, 5, 15, 11, 17, 43, 83, 373, 1005, 541, 115, 163, 2165, 8181, 35839, 44471}},
-{9968, 17, 36071, {1, 3, 5, 7, 27, 41, 101, 13, 213, 235, 2037, 2179, 2121, 4481, 8127, 20011, 3981}},
-{9969, 17, 36080, {1, 1, 5, 11, 7, 43, 59, 129, 127, 387, 489, 1985, 623, 13307, 19765, 62155, 93271}},
-{9970, 17, 36085, {1, 1, 7, 5, 23, 63, 23, 177, 211, 233, 101, 1809, 7411, 8003, 25101, 32601, 75071}},
-{9971, 17, 36097, {1, 1, 1, 11, 3, 25, 9, 91, 459, 611, 867, 3639, 5457, 9101, 15333, 40069, 67723}},
-{9972, 17, 36110, {1, 3, 7, 5, 3, 29, 111, 75, 459, 195, 1405, 2281, 6085, 4425, 29061, 57335, 87449}},
-{9973, 17, 36115, {1, 3, 7, 11, 21, 45, 53, 81, 77, 863, 1901, 3355, 5253, 10897, 26289, 48399, 26877}},
-{9974, 17, 36118, {1, 3, 3, 13, 21, 37, 69, 87, 259, 101, 1203, 167, 6229, 145, 9355, 15347, 68047}},
-{9975, 17, 36124, {1, 1, 3, 1, 31, 1, 15, 229, 429, 915, 929, 381, 1857, 8441, 22207, 47071, 127853}},
-{9976, 17, 36137, {1, 3, 7, 3, 15, 9, 13, 161, 173, 573, 405, 3253, 7331, 13965, 3061, 40687, 130185}},
-{9977, 17, 36138, {1, 3, 5, 5, 29, 29, 9, 115, 393, 377, 909, 321, 2861, 9881, 17863, 52033, 55133}},
-{9978, 17, 36155, {1, 1, 7, 7, 27, 53, 101, 213, 199, 301, 1995, 2549, 5037, 13639, 18423, 23547, 79359}},
-{9979, 17, 36160, {1, 3, 1, 7, 21, 51, 29, 151, 301, 665, 571, 53, 2637, 7229, 12517, 33647, 49413}},
-{9980, 17, 36189, {1, 3, 3, 13, 13, 49, 49, 131, 325, 273, 1127, 2981, 2365, 14287, 23185, 26915, 81755}},
-{9981, 17, 36190, {1, 1, 5, 3, 17, 45, 25, 79, 37, 265, 1205, 1805, 6707, 11525, 16473, 39525, 9571}},
-{9982, 17, 36203, {1, 3, 3, 15, 9, 43, 55, 101, 469, 939, 365, 3443, 5759, 4751, 28893, 46727, 74569}},
-{9983, 17, 36211, {1, 3, 7, 9, 5, 33, 11, 201, 263, 227, 1475, 2795, 1489, 11129, 18053, 31009, 73105}},
-{9984, 17, 36218, {1, 3, 5, 5, 5, 25, 41, 151, 393, 237, 2017, 3811, 953, 13835, 28761, 22439, 76355}},
-{9985, 17, 36230, {1, 1, 5, 13, 21, 37, 29, 11, 289, 67, 1317, 511, 685, 15227, 8731, 15039, 79491}},
-{9986, 17, 36241, {1, 3, 1, 9, 31, 59, 123, 169, 473, 139, 575, 1057, 3213, 8213, 21845, 28123, 105335}},
-{9987, 17, 36244, {1, 1, 1, 5, 21, 47, 23, 121, 403, 5, 1457, 2137, 569, 9267, 6367, 6991, 3113}},
-{9988, 17, 36253, {1, 3, 3, 7, 13, 7, 25, 215, 81, 1003, 2041, 1317, 3913, 14705, 30551, 50889, 83441}},
-{9989, 17, 36257, {1, 3, 3, 3, 13, 17, 63, 229, 83, 901, 953, 2603, 4685, 6961, 7519, 52441, 33223}},
-{9990, 17, 36264, {1, 3, 7, 5, 7, 57, 65, 73, 243, 531, 261, 2517, 4083, 5889, 22913, 49603, 67135}},
-{9991, 17, 36272, {1, 3, 5, 11, 15, 47, 81, 83, 35, 1021, 1313, 1109, 5103, 5469, 18149, 15307, 34939}},
-{9992, 17, 36290, {1, 3, 7, 5, 21, 13, 105, 157, 435, 23, 931, 3565, 1, 4987, 8829, 7327, 51049}},
-{9993, 17, 36292, {1, 1, 3, 11, 29, 9, 59, 49, 261, 1009, 1953, 2683, 8125, 10937, 16683, 36013, 5967}},
-{9994, 17, 36301, {1, 1, 1, 1, 19, 29, 57, 9, 307, 457, 675, 3023, 495, 15257, 7945, 10449, 30155}},
-{9995, 17, 36309, {1, 1, 7, 13, 25, 9, 51, 135, 491, 205, 1715, 3253, 1031, 4137, 14885, 39925, 6061}},
-{9996, 17, 36313, {1, 1, 7, 7, 3, 13, 111, 91, 469, 133, 1221, 1035, 919, 3697, 26387, 41675, 487}},
-{9997, 17, 36316, {1, 1, 3, 1, 19, 53, 11, 113, 245, 747, 189, 4051, 87, 1767, 3595, 10259, 100097}},
-{9998, 17, 36319, {1, 1, 5, 3, 23, 49, 31, 47, 341, 1019, 723, 2353, 6191, 3809, 3297, 39443, 73529}},
-{9999, 17, 36330, {1, 3, 3, 9, 25, 27, 123, 49, 51, 85, 1063, 2633, 6549, 14493, 7367, 3557, 60651}},
-{10000, 17, 36335, {1, 3, 7, 5, 13, 27, 127, 65, 115, 731, 1147, 283, 91, 14205, 2457, 57083, 35815}},
-{10001, 17, 36347, {1, 3, 3, 3, 25, 63, 99, 249, 25, 951, 733, 3621, 7139, 14223, 23641, 20287, 30743}},
-{10002, 17, 36353, {1, 3, 3, 7, 21, 23, 83, 207, 235, 467, 1857, 2661, 1391, 10097, 12297, 54825, 5035}},
-{10003, 17, 36356, {1, 1, 5, 3, 31, 17, 77, 9, 215, 553, 989, 3643, 729, 2057, 32053, 50305, 5499}},
-{10004, 17, 36368, {1, 1, 7, 1, 23, 5, 111, 195, 431, 947, 403, 1781, 943, 15073, 67, 52225, 98987}},
-{10005, 17, 36374, {1, 1, 5, 11, 23, 1, 41, 33, 457, 767, 275, 801, 5119, 3781, 14805, 52789, 41775}},
-{10006, 17, 36377, {1, 1, 5, 3, 9, 53, 15, 183, 281, 691, 165, 3277, 7673, 1509, 16605, 53799, 100185}},
-{10007, 17, 36384, {1, 3, 5, 11, 19, 45, 29, 159, 167, 67, 1259, 879, 7787, 8855, 24153, 42667, 102855}},
-{10008, 17, 36407, {1, 1, 7, 13, 31, 19, 43, 133, 295, 287, 1985, 2451, 2297, 3853, 22401, 27659, 11149}},
-{10009, 17, 36413, {1, 1, 7, 13, 31, 39, 125, 21, 173, 103, 1119, 3739, 6467, 2113, 4465, 26537, 129949}},
-{10010, 17, 36419, {1, 1, 5, 15, 21, 47, 35, 125, 199, 335, 421, 31, 185, 12769, 30659, 33427, 106981}},
-{10011, 17, 36425, {1, 3, 5, 13, 25, 35, 53, 253, 325, 921, 1705, 2735, 6437, 2287, 20479, 61107, 91453}},
-{10012, 17, 36426, {1, 3, 7, 13, 25, 63, 83, 183, 5, 401, 329, 525, 3141, 393, 30469, 16529, 9605}},
-{10013, 17, 36446, {1, 3, 3, 13, 19, 23, 15, 85, 323, 545, 149, 3645, 6269, 15595, 18453, 39, 128169}},
-{10014, 17, 36461, {1, 3, 7, 15, 17, 5, 61, 61, 91, 353, 1039, 2959, 4147, 13205, 12599, 53281, 39509}},
-{10015, 17, 36467, {1, 1, 3, 7, 21, 9, 97, 111, 249, 775, 845, 1789, 667, 489, 6689, 29217, 56527}},
-{10016, 17, 36474, {1, 3, 5, 7, 11, 5, 59, 219, 29, 803, 923, 3861, 7953, 8969, 1819, 43501, 20513}},
-{10017, 17, 36480, {1, 1, 5, 11, 7, 53, 63, 231, 193, 293, 1467, 1409, 6397, 13237, 15903, 19271, 66257}},
-{10018, 17, 36486, {1, 3, 1, 15, 23, 15, 37, 123, 189, 63, 1121, 751, 6711, 10095, 6493, 40709, 47641}},
-{10019, 17, 36489, {1, 3, 7, 3, 23, 59, 99, 183, 249, 479, 771, 1087, 7979, 409, 4819, 4337, 33345}},
-{10020, 17, 36495, {1, 1, 5, 1, 17, 7, 15, 167, 305, 411, 1429, 3127, 23, 9123, 7185, 44405, 114841}},
-{10021, 17, 36525, {1, 1, 5, 11, 3, 29, 29, 31, 399, 777, 251, 1841, 3607, 211, 23543, 29111, 54565}},
-{10022, 17, 36526, {1, 3, 3, 9, 27, 33, 79, 27, 469, 67, 1327, 183, 5783, 10039, 13165, 20443, 4913}},
-{10023, 17, 36533, {1, 3, 7, 15, 21, 23, 5, 227, 141, 1021, 69, 3347, 7221, 13837, 20921, 20525, 32567}},
-{10024, 17, 36534, {1, 1, 5, 5, 25, 53, 73, 111, 319, 311, 1597, 1809, 5343, 13963, 6613, 14471, 53871}},
-{10025, 17, 36540, {1, 3, 3, 1, 15, 57, 47, 205, 53, 471, 185, 273, 8077, 5031, 31195, 30859, 15979}},
-{10026, 17, 36555, {1, 1, 3, 5, 23, 15, 87, 211, 83, 265, 1629, 2979, 69, 12559, 30455, 36363, 61461}},
-{10027, 17, 36563, {1, 1, 7, 7, 1, 47, 5, 199, 95, 17, 57, 1887, 6847, 9501, 21361, 57763, 77069}},
-{10028, 17, 36565, {1, 1, 3, 5, 9, 15, 15, 149, 141, 605, 639, 2197, 7237, 5753, 9415, 4677, 129947}},
-{10029, 17, 36588, {1, 3, 7, 1, 7, 9, 29, 249, 275, 461, 1667, 4093, 5763, 3205, 24079, 11883, 86455}},
-{10030, 17, 36593, {1, 1, 3, 5, 15, 39, 117, 145, 153, 671, 1819, 111, 3607, 12279, 4927, 63759, 42905}},
-{10031, 17, 36596, {1, 1, 1, 5, 31, 5, 35, 183, 189, 839, 1811, 1877, 6545, 11373, 27947, 27183, 29857}},
-{10032, 17, 36606, {1, 3, 5, 7, 29, 47, 3, 183, 511, 145, 1953, 3419, 6385, 7745, 12823, 59783, 69399}},
-{10033, 17, 36614, {1, 3, 5, 9, 5, 39, 85, 145, 33, 899, 1009, 2035, 6145, 3855, 20583, 4329, 95231}},
-{10034, 17, 36626, {1, 1, 3, 3, 15, 61, 85, 181, 247, 705, 413, 1633, 7489, 1785, 30397, 42851, 80197}},
-{10035, 17, 36628, {1, 3, 3, 13, 23, 11, 3, 97, 307, 183, 113, 3881, 7455, 8327, 6749, 23977, 101629}},
-{10036, 17, 36641, {1, 1, 7, 13, 1, 23, 59, 219, 125, 789, 1401, 707, 6915, 6275, 25813, 46595, 54119}},
-{10037, 17, 36642, {1, 3, 7, 9, 5, 7, 37, 33, 165, 181, 833, 1993, 4541, 5799, 23323, 39825, 44575}},
-{10038, 17, 36651, {1, 3, 1, 13, 13, 43, 69, 219, 437, 521, 503, 2293, 3607, 6845, 22583, 291, 65645}},
-{10039, 17, 36653, {1, 1, 7, 9, 29, 13, 123, 67, 191, 933, 1875, 1223, 5525, 13797, 29771, 58191, 84469}},
-{10040, 17, 36673, {1, 1, 7, 7, 3, 57, 101, 69, 23, 239, 1023, 3289, 1541, 6245, 23379, 161, 61155}},
-{10041, 17, 36676, {1, 3, 7, 13, 25, 33, 49, 145, 487, 681, 451, 1719, 109, 16273, 20009, 3003, 115815}},
-{10042, 17, 36679, {1, 1, 5, 11, 11, 59, 41, 133, 303, 469, 1975, 847, 5291, 13947, 8759, 8533, 25099}},
-{10043, 17, 36694, {1, 1, 1, 1, 29, 31, 53, 11, 239, 57, 1627, 1247, 1577, 3269, 20751, 4627, 40499}},
-{10044, 17, 36698, {1, 3, 7, 15, 1, 1, 51, 39, 383, 203, 1841, 3867, 4975, 9937, 1863, 52611, 83189}},
-{10045, 17, 36704, {1, 3, 7, 7, 13, 59, 15, 217, 355, 945, 1317, 815, 2413, 10985, 30647, 37745, 126553}},
-{10046, 17, 36714, {1, 1, 3, 11, 7, 29, 101, 137, 97, 119, 927, 3269, 6977, 4253, 10741, 61907, 122815}},
-{10047, 17, 36721, {1, 3, 3, 1, 29, 5, 49, 137, 411, 349, 905, 2481, 4961, 4513, 29409, 19503, 77915}},
-{10048, 17, 36722, {1, 1, 7, 13, 29, 59, 93, 61, 393, 29, 257, 3601, 6281, 5105, 17339, 53827, 83137}},
-{10049, 17, 36727, {1, 1, 1, 13, 5, 23, 61, 7, 51, 161, 737, 1549, 6021, 3385, 5539, 21261, 69995}},
-{10050, 17, 36749, {1, 1, 1, 15, 31, 1, 21, 113, 481, 7, 175, 717, 1593, 5937, 12347, 51835, 66649}},
-{10051, 17, 36758, {1, 1, 3, 7, 9, 51, 9, 199, 39, 607, 1157, 3913, 7767, 14195, 28721, 27655, 34709}},
-{10052, 17, 36761, {1, 3, 5, 5, 1, 15, 49, 33, 441, 721, 1749, 1497, 2023, 8351, 12641, 11861, 78545}},
-{10053, 17, 36771, {1, 3, 1, 7, 7, 17, 103, 113, 243, 25, 889, 1419, 3163, 12401, 22459, 39037, 101719}},
-{10054, 17, 36788, {1, 1, 7, 11, 17, 45, 121, 215, 3, 409, 1871, 2149, 4249, 5071, 14277, 55869, 91233}},
-{10055, 17, 36797, {1, 1, 3, 7, 19, 31, 47, 241, 175, 749, 1709, 355, 6037, 10555, 24107, 64683, 42673}},
-{10056, 17, 36805, {1, 3, 7, 11, 5, 21, 105, 137, 307, 101, 417, 1903, 1027, 10257, 27767, 9755, 92105}},
-{10057, 17, 36830, {1, 1, 3, 13, 9, 59, 11, 63, 295, 923, 401, 1471, 3517, 7761, 28855, 11525, 72455}},
-{10058, 17, 36833, {1, 1, 7, 15, 31, 51, 77, 29, 323, 579, 1313, 3441, 2903, 1683, 20605, 8185, 29753}},
-{10059, 17, 36839, {1, 1, 5, 15, 11, 59, 119, 109, 233, 1001, 1527, 2709, 73, 5311, 18313, 27155, 85999}},
-{10060, 17, 36843, {1, 3, 1, 5, 9, 59, 105, 93, 213, 401, 839, 3225, 3263, 13501, 2413, 60367, 121281}},
-{10061, 17, 36860, {1, 1, 7, 3, 19, 25, 75, 27, 325, 435, 527, 1465, 3601, 5785, 6135, 32841, 60129}},
-{10062, 17, 36866, {1, 1, 3, 7, 31, 19, 37, 157, 189, 51, 869, 2963, 5269, 9151, 14845, 30441, 89685}},
-{10063, 17, 36871, {1, 3, 3, 9, 17, 51, 23, 177, 417, 255, 1739, 3085, 7811, 15177, 25433, 38487, 51021}},
-{10064, 17, 36875, {1, 1, 3, 7, 27, 1, 45, 235, 59, 491, 1327, 3967, 7585, 4313, 29669, 47193, 89427}},
-{10065, 17, 36877, {1, 1, 3, 9, 19, 5, 27, 63, 263, 593, 1599, 1311, 1029, 603, 25291, 51391, 98915}},
-{10066, 17, 36880, {1, 3, 3, 15, 11, 7, 97, 99, 263, 155, 437, 3849, 2665, 3371, 8179, 51883, 3601}},
-{10067, 17, 36892, {1, 1, 3, 15, 7, 35, 37, 149, 251, 619, 1423, 553, 4453, 16365, 22543, 6951, 34655}},
-{10068, 17, 36911, {1, 3, 3, 11, 15, 21, 95, 143, 31, 425, 179, 2383, 4799, 7655, 26945, 9273, 103469}},
-{10069, 17, 36914, {1, 3, 1, 9, 13, 49, 3, 117, 361, 459, 227, 2067, 4909, 13461, 22505, 10259, 59697}},
-{10070, 17, 36916, {1, 1, 7, 7, 7, 23, 67, 217, 313, 965, 1747, 995, 579, 6217, 8915, 49329, 851}},
-{10071, 17, 36923, {1, 1, 3, 1, 17, 19, 7, 99, 281, 207, 1685, 2401, 967, 9399, 28741, 28839, 6003}},
-{10072, 17, 36940, {1, 3, 3, 5, 31, 61, 105, 251, 499, 319, 1167, 2203, 1195, 2663, 11797, 12981, 125523}},
-{10073, 17, 36943, {1, 3, 1, 5, 23, 19, 99, 101, 85, 837, 501, 2737, 4051, 2413, 9275, 38995, 21633}},
-{10074, 17, 36948, {1, 3, 7, 13, 17, 17, 119, 75, 281, 527, 1477, 1515, 7765, 5573, 10143, 6219, 57817}},
-{10075, 17, 36957, {1, 1, 5, 11, 19, 35, 85, 171, 107, 905, 1395, 1199, 7345, 15719, 14021, 47425, 36081}},
-{10076, 17, 36958, {1, 1, 3, 9, 9, 63, 109, 15, 323, 73, 1541, 2227, 5197, 12617, 23379, 53415, 105291}},
-{10077, 17, 36967, {1, 3, 3, 5, 5, 41, 85, 99, 3, 895, 1383, 3627, 3897, 1893, 23673, 56501, 78411}},
-{10078, 17, 36974, {1, 1, 7, 1, 25, 27, 45, 185, 475, 577, 1619, 727, 1407, 2383, 9215, 55295, 27349}},
-{10079, 17, 36981, {1, 3, 7, 11, 3, 51, 53, 53, 399, 711, 1075, 511, 5369, 10777, 14419, 63217, 130181}},
-{10080, 17, 37001, {1, 1, 7, 13, 25, 19, 107, 71, 151, 73, 735, 3837, 5307, 10229, 10529, 9989, 111925}},
-{10081, 17, 37012, {1, 1, 1, 15, 19, 59, 65, 77, 465, 957, 1085, 1359, 3959, 15823, 6273, 12565, 126167}},
-{10082, 17, 37015, {1, 1, 5, 5, 31, 53, 23, 173, 407, 795, 41, 3275, 1953, 13673, 26625, 33477, 14149}},
-{10083, 17, 37019, {1, 1, 7, 7, 1, 11, 121, 139, 77, 321, 1939, 2597, 621, 9579, 11629, 13119, 30505}},
-{10084, 17, 37035, {1, 1, 1, 5, 3, 33, 45, 127, 169, 581, 1521, 1019, 6489, 1069, 2469, 40255, 66619}},
-{10085, 17, 37040, {1, 3, 7, 5, 29, 47, 7, 245, 459, 417, 1027, 857, 4905, 11255, 3267, 9491, 78013}},
-{10086, 17, 37063, {1, 3, 5, 9, 25, 49, 61, 215, 19, 731, 303, 1001, 6031, 3705, 7797, 31957, 119383}},
-{10087, 17, 37064, {1, 3, 5, 5, 1, 9, 37, 187, 235, 453, 963, 2833, 3501, 605, 2763, 41215, 93547}},
-{10088, 17, 37069, {1, 3, 1, 1, 21, 3, 41, 53, 425, 687, 1051, 2365, 7835, 3981, 5557, 61993, 127417}},
-{10089, 17, 37077, {1, 3, 3, 7, 13, 61, 41, 189, 261, 163, 1931, 1803, 2379, 16379, 25453, 17911, 123431}},
-{10090, 17, 37093, {1, 1, 7, 15, 23, 21, 95, 7, 27, 897, 721, 3917, 7971, 4643, 5223, 46583, 32453}},
-{10091, 17, 37097, {1, 1, 7, 7, 1, 25, 83, 109, 223, 573, 533, 449, 6477, 10719, 28705, 8283, 94963}},
-{10092, 17, 37106, {1, 1, 5, 13, 21, 45, 63, 31, 21, 223, 31, 1249, 425, 7199, 11539, 7731, 44333}},
-{10093, 17, 37115, {1, 1, 5, 15, 29, 5, 87, 215, 287, 567, 297, 451, 5867, 15511, 1005, 57469, 87257}},
-{10094, 17, 37118, {1, 3, 5, 11, 13, 51, 117, 139, 377, 1015, 1237, 2053, 7625, 1003, 22673, 64345, 16203}},
-{10095, 17, 37123, {1, 1, 3, 15, 19, 39, 73, 205, 185, 331, 869, 857, 5043, 7247, 25253, 5799, 64857}},
-{10096, 17, 37129, {1, 3, 7, 1, 25, 63, 125, 47, 161, 289, 373, 1603, 1663, 1123, 28907, 37855, 47935}},
-{10097, 17, 37130, {1, 1, 7, 15, 9, 17, 97, 63, 79, 123, 1357, 3055, 2323, 16083, 21861, 38743, 81291}},
-{10098, 17, 37135, {1, 1, 3, 15, 5, 23, 7, 159, 127, 511, 55, 2691, 6823, 16151, 8059, 43021, 18911}},
-{10099, 17, 37137, {1, 1, 3, 9, 27, 19, 41, 75, 375, 921, 1745, 35, 1189, 5857, 29869, 43827, 16899}},
-{10100, 17, 37138, {1, 1, 1, 5, 3, 21, 13, 235, 51, 529, 291, 2619, 5419, 12573, 10907, 8865, 54987}},
-{10101, 17, 37140, {1, 3, 1, 13, 7, 9, 85, 131, 159, 743, 1671, 3001, 4559, 12343, 27563, 49941, 68447}},
-{10102, 17, 37144, {1, 1, 7, 5, 17, 61, 99, 63, 199, 383, 485, 2569, 5329, 645, 18805, 20421, 101229}},
-{10103, 17, 37149, {1, 1, 1, 15, 3, 59, 41, 247, 213, 843, 2003, 125, 7755, 4203, 20277, 47195, 48249}},
-{10104, 17, 37156, {1, 1, 5, 15, 15, 17, 113, 101, 27, 811, 1791, 1777, 749, 14317, 17267, 54467, 118369}},
-{10105, 17, 37159, {1, 3, 3, 3, 19, 37, 23, 117, 275, 733, 1259, 567, 1769, 12071, 5413, 49411, 99259}},
-{10106, 17, 37163, {1, 3, 1, 11, 3, 27, 103, 113, 251, 731, 481, 2771, 3205, 14151, 19403, 30307, 114691}},
-{10107, 17, 37165, {1, 1, 5, 15, 19, 15, 103, 25, 357, 197, 1437, 3621, 4747, 773, 5769, 33465, 28307}},
-{10108, 17, 37183, {1, 1, 5, 15, 5, 17, 89, 87, 423, 611, 549, 2549, 1275, 14545, 2931, 3853, 24577}},
-{10109, 17, 37185, {1, 3, 5, 1, 15, 13, 29, 49, 279, 495, 697, 1015, 4899, 15977, 10765, 47979, 40237}},
-{10110, 17, 37195, {1, 3, 3, 9, 31, 51, 21, 5, 279, 947, 1871, 3075, 5433, 1631, 30075, 30517, 99609}},
-{10111, 17, 37198, {1, 1, 1, 15, 19, 63, 79, 81, 19, 629, 617, 1887, 4015, 15501, 10551, 56419, 108739}},
-{10112, 17, 37203, {1, 1, 3, 9, 31, 15, 45, 37, 43, 349, 1357, 189, 4551, 9363, 15683, 48445, 89279}},
-{10113, 17, 37212, {1, 1, 1, 1, 17, 19, 121, 119, 397, 947, 1797, 613, 1627, 9591, 15779, 62295, 118843}},
-{10114, 17, 37233, {1, 1, 1, 7, 25, 55, 71, 227, 507, 497, 1209, 2919, 5733, 15785, 21437, 40043, 2325}},
-{10115, 17, 37236, {1, 1, 1, 15, 11, 1, 59, 93, 69, 859, 67, 1831, 6345, 5643, 29515, 20337, 77281}},
-{10116, 17, 37240, {1, 3, 5, 9, 19, 53, 59, 63, 161, 853, 697, 1441, 3457, 951, 29659, 15337, 38443}},
-{10117, 17, 37256, {1, 3, 1, 9, 7, 21, 73, 81, 89, 291, 411, 3793, 4639, 2829, 6855, 38113, 32875}},
-{10118, 17, 37264, {1, 1, 7, 1, 15, 3, 79, 35, 363, 459, 907, 1157, 5165, 8021, 10135, 36367, 111991}},
-{10119, 17, 37267, {1, 3, 5, 13, 21, 23, 63, 155, 393, 869, 1553, 3345, 2711, 8249, 24907, 28111, 36667}},
-{10120, 17, 37273, {1, 1, 7, 11, 15, 25, 29, 93, 45, 637, 1473, 2053, 313, 8047, 23411, 8643, 2925}},
-{10121, 17, 37295, {1, 3, 7, 9, 11, 5, 73, 69, 311, 949, 2017, 259, 2861, 10547, 12017, 34125, 74101}},
-{10122, 17, 37315, {1, 3, 1, 13, 19, 61, 115, 59, 447, 787, 1621, 2221, 7841, 5329, 18137, 13857, 51889}},
-{10123, 17, 37330, {1, 3, 7, 13, 1, 23, 117, 49, 449, 541, 7, 3269, 1725, 6677, 15979, 4319, 40919}},
-{10124, 17, 37336, {1, 3, 5, 5, 17, 29, 35, 123, 3, 481, 305, 1589, 4319, 5183, 31907, 53019, 49375}},
-{10125, 17, 37339, {1, 3, 1, 7, 11, 59, 79, 89, 479, 821, 763, 3597, 7457, 13775, 11213, 22777, 80379}},
-{10126, 17, 37342, {1, 1, 3, 7, 13, 17, 65, 155, 335, 671, 331, 895, 7459, 1719, 10675, 60109, 63143}},
-{10127, 17, 37357, {1, 3, 5, 1, 29, 33, 105, 249, 61, 469, 1629, 3777, 4393, 14457, 11701, 6065, 2635}},
-{10128, 17, 37365, {1, 3, 7, 3, 13, 13, 21, 15, 363, 63, 1263, 1479, 1459, 6577, 7481, 30393, 19831}},
-{10129, 17, 37372, {1, 1, 3, 7, 29, 25, 71, 247, 501, 815, 1697, 2457, 4975, 3821, 25759, 24901, 120603}},
-{10130, 17, 37381, {1, 1, 1, 5, 19, 3, 59, 163, 367, 779, 47, 905, 897, 3293, 13951, 25497, 99151}},
-{10131, 17, 37399, {1, 3, 1, 5, 11, 47, 21, 171, 123, 215, 1797, 3741, 4921, 7213, 4847, 3239, 114839}},
-{10132, 17, 37416, {1, 3, 3, 5, 23, 63, 57, 31, 409, 431, 1337, 3301, 4695, 7401, 9383, 12639, 34347}},
-{10133, 17, 37429, {1, 3, 3, 5, 27, 57, 29, 147, 111, 1015, 815, 1509, 3967, 7255, 15109, 26001, 90775}},
-{10134, 17, 37436, {1, 1, 7, 13, 31, 45, 21, 99, 377, 399, 255, 459, 6043, 11055, 5675, 3333, 32813}},
-{10135, 17, 37442, {1, 3, 1, 7, 1, 55, 121, 77, 429, 433, 297, 3181, 3029, 6777, 22795, 61515, 58553}},
-{10136, 17, 37451, {1, 3, 5, 9, 1, 19, 121, 1, 499, 589, 1597, 2219, 1029, 4223, 31613, 45685, 53517}},
-{10137, 17, 37453, {1, 3, 1, 9, 29, 39, 83, 193, 43, 41, 467, 1711, 2761, 10635, 15503, 38043, 120615}},
-{10138, 17, 37475, {1, 1, 7, 13, 27, 61, 1, 181, 163, 613, 221, 63, 6147, 8215, 15093, 2417, 71489}},
-{10139, 17, 37482, {1, 1, 7, 15, 31, 63, 47, 139, 427, 847, 53, 1275, 1019, 9455, 12537, 22467, 129947}},
-{10140, 17, 37489, {1, 1, 5, 3, 7, 1, 67, 189, 501, 319, 37, 2849, 2535, 10917, 11115, 48083, 67255}},
-{10141, 17, 37490, {1, 1, 3, 13, 7, 31, 69, 137, 19, 73, 1553, 3945, 2381, 8761, 3977, 24291, 128189}},
-{10142, 17, 37523, {1, 3, 5, 11, 1, 59, 43, 229, 301, 771, 559, 195, 1675, 12605, 22211, 2915, 90351}},
-{10143, 17, 37525, {1, 3, 3, 9, 13, 27, 97, 33, 273, 229, 1537, 1179, 6985, 11679, 17889, 44673, 126641}},
-{10144, 17, 37530, {1, 1, 7, 3, 31, 29, 41, 123, 491, 639, 269, 45, 2155, 14103, 6725, 50781, 42785}},
-{10145, 17, 37535, {1, 3, 5, 9, 9, 11, 89, 249, 475, 701, 1029, 985, 8167, 439, 31897, 24529, 45759}},
-{10146, 17, 37539, {1, 1, 5, 11, 9, 39, 127, 179, 15, 135, 1437, 3331, 5553, 939, 15319, 64937, 110783}},
-{10147, 17, 37548, {1, 3, 1, 5, 7, 61, 1, 219, 111, 801, 85, 3427, 2533, 12861, 5395, 28969, 48091}},
-{10148, 17, 37559, {1, 1, 1, 9, 23, 57, 77, 41, 61, 635, 457, 231, 8121, 5349, 27021, 64807, 87563}},
-{10149, 17, 37560, {1, 3, 5, 7, 31, 31, 101, 155, 255, 199, 1973, 903, 7681, 15379, 12845, 47943, 60663}},
-{10150, 17, 37566, {1, 1, 5, 7, 1, 7, 71, 121, 323, 669, 193, 1209, 267, 9, 21223, 22037, 121567}},
-{10151, 17, 37597, {1, 3, 1, 5, 17, 29, 97, 189, 219, 813, 187, 1763, 5817, 13185, 467, 40159, 18037}},
-{10152, 17, 37601, {1, 1, 7, 9, 7, 59, 3, 189, 379, 843, 631, 3945, 2909, 4191, 30343, 11223, 105629}},
-{10153, 17, 37602, {1, 3, 1, 3, 15, 17, 23, 73, 439, 699, 657, 451, 6139, 15869, 4101, 32327, 55485}},
-{10154, 17, 37604, {1, 3, 3, 5, 21, 37, 87, 157, 205, 493, 705, 1539, 2193, 13539, 2797, 49063, 55595}},
-{10155, 17, 37616, {1, 1, 5, 11, 11, 41, 5, 131, 445, 781, 1153, 1371, 6763, 3101, 32449, 16065, 86579}},
-{10156, 17, 37622, {1, 3, 5, 1, 23, 51, 97, 87, 161, 261, 269, 2035, 2139, 3049, 32217, 25189, 93571}},
-{10157, 17, 37658, {1, 3, 1, 11, 23, 1, 111, 45, 19, 19, 1767, 3571, 6027, 3593, 17453, 53821, 28121}},
-{10158, 17, 37660, {1, 3, 3, 5, 17, 5, 17, 247, 5, 73, 29, 443, 7713, 15803, 22311, 56755, 100119}},
-{10159, 17, 37667, {1, 3, 1, 13, 7, 1, 41, 139, 317, 977, 1529, 1217, 529, 3231, 21491, 28461, 96699}},
-{10160, 17, 37684, {1, 3, 1, 13, 11, 41, 103, 99, 81, 849, 231, 1729, 761, 711, 11499, 25581, 59433}},
-{10161, 17, 37693, {1, 1, 5, 5, 13, 33, 79, 175, 89, 29, 295, 2867, 1197, 6137, 32063, 23471, 21721}},
-{10162, 17, 37694, {1, 1, 5, 15, 17, 29, 123, 249, 273, 437, 443, 2601, 3957, 11955, 261, 54863, 85727}},
-{10163, 17, 37696, {1, 1, 5, 13, 3, 31, 57, 205, 3, 903, 905, 3851, 757, 13761, 28615, 48185, 33227}},
-{10164, 17, 37706, {1, 3, 7, 1, 1, 1, 107, 15, 307, 405, 45, 297, 4365, 1569, 9263, 13685, 36027}},
-{10165, 17, 37711, {1, 3, 1, 9, 17, 61, 113, 121, 249, 743, 191, 2523, 6621, 5395, 23797, 57975, 51675}},
-{10166, 17, 37730, {1, 3, 5, 3, 27, 21, 49, 113, 59, 989, 501, 2651, 3827, 5121, 29667, 32903, 84199}},
-{10167, 17, 37735, {1, 1, 7, 7, 19, 43, 11, 191, 143, 93, 1167, 2521, 2569, 12187, 28575, 13073, 113545}},
-{10168, 17, 37742, {1, 1, 7, 3, 27, 39, 11, 85, 61, 979, 49, 2191, 2607, 13967, 28123, 48903, 16327}},
-{10169, 17, 37744, {1, 1, 5, 3, 17, 17, 1, 149, 189, 1017, 705, 3119, 6441, 1595, 30533, 18795, 34265}},
-{10170, 17, 37759, {1, 1, 3, 11, 31, 11, 125, 109, 39, 41, 191, 2615, 1377, 16089, 8793, 31425, 90507}},
-{10171, 17, 37777, {1, 1, 1, 1, 23, 15, 21, 245, 337, 649, 585, 2893, 927, 883, 15119, 2595, 127963}},
-{10172, 17, 37783, {1, 3, 5, 3, 13, 17, 123, 167, 471, 5, 1671, 2787, 5081, 12903, 4257, 19213, 2503}},
-{10173, 17, 37784, {1, 1, 5, 7, 21, 57, 75, 171, 509, 591, 85, 407, 1747, 6375, 19641, 55683, 111289}},
-{10174, 17, 37793, {1, 1, 7, 7, 3, 31, 121, 111, 19, 361, 1033, 4033, 2359, 13451, 15095, 61817, 69683}},
-{10175, 17, 37800, {1, 1, 5, 9, 21, 33, 83, 179, 387, 69, 1085, 2147, 2751, 10899, 16971, 40623, 110891}},
-{10176, 17, 37818, {1, 1, 7, 9, 11, 45, 81, 71, 73, 551, 145, 159, 7519, 3459, 5197, 48913, 59045}},
-{10177, 17, 37823, {1, 3, 1, 3, 7, 35, 17, 249, 207, 767, 1189, 1451, 4351, 3673, 28807, 671, 69271}},
-{10178, 17, 37825, {1, 3, 1, 15, 21, 27, 81, 243, 55, 191, 1497, 3205, 1601, 705, 14891, 14403, 130729}},
-{10179, 17, 37828, {1, 3, 1, 7, 17, 43, 41, 123, 507, 201, 1873, 3547, 5681, 1819, 4251, 39661, 57923}},
-{10180, 17, 37832, {1, 3, 1, 9, 3, 59, 57, 235, 445, 479, 961, 1937, 2229, 2511, 15235, 59707, 72261}},
-{10181, 17, 37849, {1, 1, 5, 13, 9, 63, 67, 217, 63, 259, 175, 2469, 3075, 12365, 7727, 42215, 12635}},
-{10182, 17, 37856, {1, 1, 3, 13, 11, 9, 125, 131, 17, 399, 675, 767, 7349, 10433, 21615, 46823, 3955}},
-{10183, 17, 37861, {1, 1, 3, 15, 19, 53, 73, 171, 125, 531, 1093, 1449, 2931, 10897, 12263, 9799, 98251}},
-{10184, 17, 37862, {1, 1, 5, 5, 11, 27, 33, 9, 503, 545, 339, 1099, 1973, 13261, 26871, 14569, 22755}},
-{10185, 17, 37886, {1, 3, 7, 1, 19, 5, 79, 133, 247, 1021, 1431, 3707, 4603, 3285, 5469, 46963, 98203}},
-{10186, 17, 37893, {1, 3, 5, 7, 15, 11, 87, 169, 495, 763, 1295, 2533, 4213, 8671, 21683, 12521, 90071}},
-{10187, 17, 37915, {1, 1, 3, 1, 17, 55, 7, 165, 313, 659, 49, 377, 6675, 15255, 9881, 11751, 87789}},
-{10188, 17, 37922, {1, 3, 1, 15, 3, 49, 27, 109, 145, 1011, 1939, 3201, 6141, 7229, 20741, 59285, 129365}},
-{10189, 17, 37936, {1, 1, 5, 5, 5, 51, 117, 17, 363, 795, 1343, 2637, 6209, 1045, 22515, 10687, 48487}},
-{10190, 17, 37939, {1, 1, 5, 15, 1, 37, 91, 241, 245, 703, 505, 3369, 6163, 10265, 12497, 46301, 109523}},
-{10191, 17, 37945, {1, 1, 7, 11, 3, 37, 67, 35, 229, 823, 193, 913, 3331, 4475, 9271, 11859, 52709}},
-{10192, 17, 37956, {1, 1, 3, 3, 7, 25, 61, 159, 81, 1011, 1491, 1439, 1031, 765, 9839, 61891, 20969}},
-{10193, 17, 37960, {1, 3, 3, 7, 25, 39, 73, 59, 101, 101, 225, 1105, 5943, 5223, 12585, 16411, 62699}},
-{10194, 17, 37971, {1, 1, 7, 5, 25, 19, 27, 113, 465, 319, 2035, 2127, 1319, 11793, 26821, 44805, 28217}},
-{10195, 17, 37980, {1, 3, 5, 11, 7, 9, 81, 107, 67, 31, 1503, 3303, 4451, 11417, 32681, 26861, 54845}},
-{10196, 17, 38002, {1, 3, 1, 1, 3, 51, 93, 235, 93, 247, 2027, 1517, 6797, 1703, 10233, 45313, 60771}},
-{10197, 17, 38007, {1, 3, 3, 15, 25, 11, 83, 77, 413, 189, 119, 597, 2199, 12347, 7935, 40191, 125569}},
-{10198, 17, 38018, {1, 3, 7, 9, 11, 3, 77, 31, 89, 163, 1993, 3017, 3973, 10943, 22247, 45565, 7261}},
-{10199, 17, 38020, {1, 3, 7, 7, 15, 13, 7, 155, 373, 893, 607, 3521, 7455, 13809, 6145, 31743, 86329}},
-{10200, 17, 38038, {1, 1, 1, 15, 25, 41, 111, 65, 11, 627, 59, 2725, 995, 3761, 25361, 45189, 48355}},
-{10201, 17, 38041, {1, 1, 7, 5, 29, 43, 91, 139, 323, 503, 679, 4079, 403, 1899, 1425, 26989, 117057}},
-{10202, 17, 38044, {1, 3, 5, 13, 1, 17, 19, 61, 205, 833, 345, 1031, 7995, 999, 27469, 15943, 88011}},
-{10203, 17, 38048, {1, 3, 1, 7, 23, 49, 123, 9, 11, 761, 1163, 669, 3837, 15225, 23393, 19513, 9457}},
-{10204, 17, 38051, {1, 1, 5, 9, 9, 33, 29, 123, 277, 433, 1799, 1583, 3133, 13461, 26443, 15807, 80173}},
-{10205, 17, 38054, {1, 3, 7, 3, 31, 29, 77, 105, 297, 617, 491, 647, 6541, 5033, 31841, 48405, 126985}},
-{10206, 17, 38065, {1, 1, 5, 5, 31, 39, 17, 25, 3, 279, 89, 3985, 3333, 5681, 3701, 36319, 12585}},
-{10207, 17, 38066, {1, 1, 7, 13, 13, 19, 93, 129, 51, 875, 1083, 1739, 5193, 6217, 10033, 51839, 66071}},
-{10208, 17, 38077, {1, 1, 7, 9, 15, 23, 93, 121, 507, 115, 707, 3181, 1521, 9609, 4577, 54389, 19167}},
-{10209, 17, 38090, {1, 3, 3, 7, 17, 51, 19, 29, 387, 711, 1105, 1627, 4421, 15183, 14149, 26485, 106425}},
-{10210, 17, 38109, {1, 3, 3, 15, 25, 59, 11, 45, 259, 1019, 1997, 3373, 5083, 5701, 30217, 44845, 67559}},
-{10211, 17, 38119, {1, 3, 3, 9, 17, 47, 5, 103, 477, 785, 235, 1523, 1505, 8811, 15255, 53493, 4383}},
-{10212, 17, 38120, {1, 3, 7, 3, 7, 37, 73, 247, 397, 409, 1065, 525, 5665, 8533, 30627, 19035, 22937}},
-{10213, 17, 38123, {1, 3, 3, 15, 15, 47, 123, 215, 413, 249, 55, 2563, 8033, 8743, 18659, 7947, 56057}},
-{10214, 17, 38146, {1, 1, 7, 3, 11, 61, 103, 109, 313, 293, 149, 999, 901, 13387, 15351, 52973, 68385}},
-{10215, 17, 38155, {1, 1, 1, 5, 31, 13, 57, 43, 263, 141, 335, 2777, 3435, 4231, 20623, 2597, 33481}},
-{10216, 17, 38160, {1, 1, 7, 13, 21, 53, 101, 75, 237, 275, 1903, 3501, 8023, 3651, 19609, 44417, 60287}},
-{10217, 17, 38181, {1, 1, 1, 1, 13, 43, 83, 255, 355, 567, 1781, 2943, 1061, 2701, 24861, 58381, 60255}},
-{10218, 17, 38188, {1, 1, 3, 9, 25, 5, 81, 85, 445, 857, 517, 3687, 2641, 6699, 19273, 4481, 8715}},
-{10219, 17, 38199, {1, 1, 3, 7, 17, 39, 33, 31, 29, 269, 379, 3149, 4731, 10387, 7941, 49199, 18423}},
-{10220, 17, 38203, {1, 1, 7, 15, 19, 37, 105, 157, 185, 1023, 1865, 53, 6765, 3, 22897, 17019, 109521}},
-{10221, 17, 38225, {1, 3, 7, 5, 5, 7, 117, 211, 19, 149, 1091, 3721, 201, 4455, 18965, 51401, 67225}},
-{10222, 17, 38226, {1, 3, 5, 11, 1, 55, 101, 41, 469, 271, 1251, 949, 861, 11903, 14773, 25675, 114161}},
-{10223, 17, 38231, {1, 1, 7, 7, 23, 13, 103, 185, 137, 575, 797, 1195, 5301, 13307, 12043, 26003, 31719}},
-{10224, 17, 38244, {1, 1, 5, 7, 11, 51, 17, 71, 321, 559, 1461, 3571, 1033, 15575, 7097, 14703, 52359}},
-{10225, 17, 38248, {1, 1, 1, 5, 21, 9, 123, 211, 233, 81, 111, 1433, 7825, 11771, 30743, 23993, 48717}},
-{10226, 17, 38259, {1, 3, 5, 15, 7, 3, 109, 33, 99, 135, 393, 3463, 7271, 14387, 30723, 19079, 83073}},
-{10227, 17, 38268, {1, 3, 3, 15, 3, 51, 77, 219, 409, 11, 67, 3787, 5155, 9259, 7185, 21611, 32577}},
-{10228, 17, 38271, {1, 3, 7, 1, 5, 49, 125, 85, 151, 301, 887, 1765, 5, 12849, 11775, 11319, 29547}},
-{10229, 17, 38272, {1, 1, 7, 11, 17, 15, 105, 29, 327, 637, 1493, 3361, 1823, 14709, 18355, 741, 57807}},
-{10230, 17, 38278, {1, 1, 7, 7, 3, 27, 15, 113, 227, 617, 1543, 1719, 8065, 13627, 23525, 20511, 64759}},
-{10231, 17, 38292, {1, 1, 3, 3, 21, 47, 89, 177, 381, 711, 1367, 2405, 887, 2351, 22957, 49679, 5963}},
-{10232, 17, 38296, {1, 3, 7, 9, 7, 1, 39, 71, 9, 275, 875, 1385, 6215, 10419, 25921, 63427, 18031}},
-{10233, 17, 38318, {1, 1, 7, 5, 23, 57, 27, 7, 445, 111, 953, 37, 2769, 1967, 8165, 35417, 36471}},
-{10234, 17, 38326, {1, 3, 3, 11, 23, 17, 119, 113, 275, 625, 1957, 2795, 3815, 7937, 11049, 31939, 128053}},
-{10235, 17, 38338, {1, 3, 3, 5, 7, 35, 45, 41, 251, 491, 1953, 3201, 751, 5705, 595, 27003, 77917}},
-{10236, 17, 38347, {1, 3, 5, 3, 25, 17, 55, 137, 299, 541, 289, 2225, 4667, 3569, 13687, 36193, 75705}},
-{10237, 17, 38373, {1, 1, 7, 15, 21, 9, 27, 157, 469, 441, 193, 2097, 4863, 2147, 31197, 24283, 102039}},
-{10238, 17, 38378, {1, 1, 1, 11, 17, 39, 73, 37, 91, 121, 1283, 367, 1875, 14365, 28349, 60993, 10791}},
-{10239, 17, 38380, {1, 3, 5, 9, 13, 63, 89, 53, 459, 347, 343, 2321, 5237, 2497, 279, 63833, 10709}},
-{10240, 17, 38388, {1, 1, 1, 15, 11, 23, 41, 79, 45, 567, 1217, 1669, 1679, 2561, 16191, 49041, 4081}},
-{10241, 17, 38392, {1, 3, 1, 5, 3, 9, 103, 245, 47, 561, 229, 2945, 6563, 797, 21571, 25769, 12995}},
-{10242, 17, 38397, {1, 3, 5, 7, 5, 47, 99, 55, 49, 951, 765, 2095, 8021, 4389, 20501, 26047, 119967}},
-{10243, 17, 38398, {1, 1, 5, 3, 15, 47, 81, 121, 379, 527, 419, 1093, 367, 10939, 17181, 13905, 49859}},
-{10244, 17, 38401, {1, 3, 3, 5, 7, 59, 53, 255, 131, 685, 1677, 3757, 3601, 89, 6225, 32705, 28287}},
-{10245, 17, 38404, {1, 3, 7, 1, 7, 55, 85, 47, 425, 793, 605, 2313, 791, 4247, 9693, 10633, 82915}},
-{10246, 17, 38422, {1, 3, 5, 13, 13, 49, 127, 213, 27, 657, 419, 55, 6289, 295, 4211, 8899, 120237}},
-{10247, 17, 38432, {1, 1, 7, 11, 11, 7, 75, 35, 315, 125, 517, 3677, 2323, 6897, 11535, 36789, 20179}},
-{10248, 17, 38469, {1, 1, 5, 9, 11, 3, 77, 43, 323, 647, 383, 485, 3937, 9081, 27745, 59149, 103433}},
-{10249, 17, 38482, {1, 3, 3, 13, 3, 47, 91, 81, 115, 625, 2003, 3601, 531, 113, 20719, 47391, 111039}},
-{10250, 17, 38493, {1, 1, 3, 13, 5, 49, 123, 189, 109, 325, 497, 923, 3861, 14029, 22651, 19857, 104801}},
-{10251, 17, 38507, {1, 1, 5, 3, 29, 23, 25, 23, 501, 371, 1983, 1303, 2261, 11865, 13281, 2587, 75741}},
-{10252, 17, 38518, {1, 3, 5, 13, 27, 61, 45, 11, 157, 615, 897, 1529, 2213, 757, 30105, 2011, 27267}},
-{10253, 17, 38521, {1, 3, 5, 13, 29, 31, 95, 159, 449, 307, 1575, 1897, 2301, 14023, 6921, 30543, 31843}},
-{10254, 17, 38527, {1, 3, 3, 5, 1, 1, 79, 147, 437, 623, 1161, 3407, 3073, 15425, 4329, 19651, 90597}},
-{10255, 17, 38533, {1, 1, 1, 11, 17, 7, 43, 171, 447, 841, 573, 3775, 5517, 3629, 18241, 31907, 51423}},
-{10256, 17, 38534, {1, 1, 3, 7, 15, 53, 111, 203, 171, 963, 1983, 2017, 6067, 12281, 3417, 7431, 33803}},
-{10257, 17, 38552, {1, 3, 1, 1, 31, 49, 125, 65, 7, 579, 1709, 1815, 2643, 11537, 30093, 11813, 65157}},
-{10258, 17, 38561, {1, 3, 7, 15, 1, 3, 61, 21, 163, 809, 1263, 2577, 7811, 12611, 6921, 18529, 25709}},
-{10259, 17, 38576, {1, 1, 3, 5, 17, 43, 13, 81, 29, 905, 1975, 589, 5875, 15683, 29447, 46453, 127911}},
-{10260, 17, 38581, {1, 1, 5, 3, 19, 29, 11, 67, 375, 771, 755, 3939, 1465, 3275, 1119, 24695, 105105}},
-{10261, 17, 38585, {1, 1, 3, 11, 23, 37, 33, 135, 329, 733, 245, 2353, 2547, 7823, 16265, 5975, 37877}},
-{10262, 17, 38594, {1, 3, 7, 13, 15, 9, 47, 181, 239, 723, 1219, 409, 1685, 5493, 14189, 18107, 26231}},
-{10263, 17, 38606, {1, 1, 5, 1, 9, 1, 65, 125, 439, 591, 1499, 3797, 5879, 4231, 18655, 9643, 42265}},
-{10264, 17, 38613, {1, 1, 7, 7, 11, 51, 111, 47, 169, 39, 45, 2211, 6729, 10987, 22367, 27257, 112711}},
-{10265, 17, 38617, {1, 3, 5, 3, 19, 61, 89, 185, 23, 793, 1457, 1743, 3743, 15063, 14053, 50201, 109175}},
-{10266, 17, 38634, {1, 1, 5, 13, 31, 51, 69, 135, 427, 527, 1673, 2393, 5829, 683, 1509, 56617, 105735}},
-{10267, 17, 38644, {1, 1, 1, 15, 31, 51, 3, 105, 125, 593, 1589, 3217, 7449, 525, 30599, 11689, 14781}},
-{10268, 17, 38651, {1, 1, 1, 11, 9, 37, 113, 45, 487, 961, 87, 1461, 3521, 8645, 19771, 43817, 43277}},
-{10269, 17, 38661, {1, 1, 7, 3, 7, 11, 45, 97, 11, 593, 319, 2597, 37, 4157, 6669, 29929, 17213}},
-{10270, 17, 38665, {1, 3, 7, 3, 29, 21, 101, 93, 289, 975, 1937, 3423, 757, 7075, 12575, 26801, 90989}},
-{10271, 17, 38668, {1, 1, 7, 15, 25, 49, 49, 149, 503, 365, 1359, 2155, 7977, 14955, 18439, 44269, 88995}},
-{10272, 17, 38674, {1, 3, 7, 13, 25, 27, 15, 67, 157, 873, 339, 2143, 1405, 12209, 30939, 36109, 107699}},
-{10273, 17, 38689, {1, 3, 5, 5, 21, 33, 121, 95, 61, 159, 1423, 2899, 3811, 263, 9139, 54481, 107375}},
-{10274, 17, 38695, {1, 1, 7, 7, 13, 49, 83, 53, 267, 131, 673, 3945, 5255, 2009, 21017, 41749, 44817}},
-{10275, 17, 38696, {1, 3, 1, 13, 25, 57, 125, 5, 323, 653, 221, 2013, 7225, 8719, 28049, 41953, 14725}},
-{10276, 17, 38707, {1, 3, 7, 7, 5, 13, 35, 161, 221, 951, 769, 717, 267, 2233, 23387, 47411, 95739}},
-{10277, 17, 38710, {1, 3, 7, 11, 23, 47, 37, 67, 501, 159, 763, 4045, 5125, 5667, 9895, 33041, 101171}},
-{10278, 17, 38716, {1, 1, 7, 1, 31, 31, 111, 183, 33, 895, 1819, 3593, 1285, 10145, 3679, 36615, 82863}},
-{10279, 17, 38733, {1, 3, 5, 7, 21, 59, 55, 163, 139, 855, 1903, 3229, 3745, 10289, 28831, 46895, 12647}},
-{10280, 17, 38736, {1, 3, 7, 9, 25, 31, 113, 177, 459, 201, 565, 2089, 725, 9273, 26249, 5987, 49573}},
-{10281, 17, 38742, {1, 1, 7, 15, 3, 37, 49, 145, 121, 803, 1197, 2797, 21, 833, 2277, 28189, 93171}},
-{10282, 17, 38751, {1, 1, 7, 7, 13, 31, 93, 153, 345, 363, 1825, 1481, 3347, 13277, 26119, 63153, 118231}},
-{10283, 17, 38752, {1, 3, 1, 11, 31, 9, 33, 95, 433, 595, 1131, 465, 1797, 15453, 32527, 40789, 37799}},
-{10284, 17, 38775, {1, 1, 5, 11, 31, 29, 83, 33, 243, 633, 1325, 3843, 7717, 851, 29789, 48827, 89209}},
-{10285, 17, 38779, {1, 1, 3, 7, 25, 31, 127, 219, 281, 51, 1843, 3363, 5985, 1697, 3083, 18967, 117421}},
-{10286, 17, 38792, {1, 3, 7, 9, 1, 19, 125, 199, 41, 117, 903, 1131, 7731, 14431, 24753, 62841, 50251}},
-{10287, 17, 38798, {1, 3, 5, 5, 11, 37, 19, 249, 97, 59, 1849, 1151, 2171, 1217, 31277, 26547, 86601}},
-{10288, 17, 38819, {1, 3, 3, 7, 29, 35, 21, 7, 93, 971, 1155, 1847, 89, 6759, 29611, 40793, 88327}},
-{10289, 17, 38822, {1, 3, 5, 5, 29, 23, 91, 71, 479, 943, 1839, 3699, 2491, 9603, 15061, 43221, 20435}},
-{10290, 17, 38839, {1, 3, 3, 7, 29, 11, 15, 83, 21, 585, 501, 161, 4797, 11243, 14879, 12519, 19069}},
-{10291, 17, 38851, {1, 1, 5, 15, 13, 37, 9, 215, 433, 925, 987, 3253, 8027, 7013, 20801, 12891, 36497}},
-{10292, 17, 38854, {1, 3, 7, 1, 15, 31, 95, 85, 355, 1013, 1963, 2943, 1925, 13691, 15237, 28943, 63873}},
-{10293, 17, 38863, {1, 3, 3, 1, 17, 21, 99, 201, 465, 819, 665, 901, 2671, 2457, 29603, 35275, 28339}},
-{10294, 17, 38865, {1, 1, 1, 9, 5, 23, 111, 107, 27, 433, 1341, 91, 6879, 1933, 25433, 37435, 99061}},
-{10295, 17, 38887, {1, 3, 5, 13, 11, 55, 27, 151, 397, 591, 89, 1221, 5581, 2701, 15033, 41879, 71415}},
-{10296, 17, 38896, {1, 3, 3, 5, 17, 35, 15, 119, 487, 903, 875, 3391, 7731, 12181, 27823, 32561, 59133}},
-{10297, 17, 38901, {1, 1, 5, 7, 15, 33, 67, 53, 307, 947, 857, 2713, 803, 765, 4175, 15513, 23985}},
-{10298, 17, 38912, {1, 3, 1, 15, 23, 11, 15, 101, 467, 429, 153, 3205, 5627, 7555, 22515, 12721, 7905}},
-{10299, 17, 38918, {1, 1, 3, 7, 19, 61, 55, 187, 413, 49, 1031, 3415, 3903, 6933, 20017, 50429, 116407}},
-{10300, 17, 38929, {1, 3, 1, 13, 13, 15, 33, 1, 403, 441, 1969, 775, 2209, 15061, 15657, 28819, 62705}},
-{10301, 17, 38941, {1, 1, 5, 13, 13, 47, 67, 97, 87, 677, 1639, 3281, 1395, 8499, 18449, 49935, 25775}},
-{10302, 17, 38948, {1, 3, 3, 13, 7, 13, 77, 45, 405, 881, 293, 2263, 6517, 15415, 25809, 5681, 31327}},
-{10303, 17, 38965, {1, 3, 7, 5, 5, 51, 63, 171, 401, 671, 1631, 1735, 7361, 8741, 31933, 44761, 12209}},
-{10304, 17, 38969, {1, 1, 7, 3, 13, 3, 39, 223, 105, 781, 241, 2895, 5165, 12135, 5683, 63009, 58399}},
-{10305, 17, 38977, {1, 1, 5, 11, 29, 11, 37, 1, 445, 157, 219, 2269, 3025, 5721, 24539, 41879, 128445}},
-{10306, 17, 38987, {1, 3, 7, 15, 23, 21, 125, 105, 141, 101, 1981, 3765, 5349, 13781, 10055, 7069, 77721}},
-{10307, 17, 38992, {1, 1, 7, 9, 3, 37, 111, 95, 33, 53, 1021, 1629, 6945, 4657, 19977, 36715, 101401}},
-{10308, 17, 38995, {1, 3, 3, 1, 9, 5, 65, 77, 459, 471, 1045, 2351, 2787, 13001, 16211, 22585, 116205}},
-{10309, 17, 39001, {1, 1, 7, 9, 25, 41, 21, 187, 471, 997, 583, 2243, 6537, 11837, 21089, 51051, 98517}},
-{10310, 17, 39004, {1, 1, 7, 5, 13, 15, 81, 39, 223, 935, 951, 5, 4315, 11789, 18365, 49647, 92461}},
-{10311, 17, 39011, {1, 3, 3, 5, 11, 15, 97, 245, 43, 819, 1415, 3287, 2051, 15879, 21727, 54467, 53875}},
-{10312, 17, 39018, {1, 3, 1, 11, 7, 47, 125, 155, 301, 469, 805, 3789, 6967, 12117, 30369, 55183, 12671}},
-{10313, 17, 39025, {1, 1, 3, 13, 17, 25, 45, 199, 69, 1015, 581, 3891, 7743, 9273, 7639, 59055, 93923}},
-{10314, 17, 39031, {1, 1, 5, 11, 9, 47, 39, 251, 489, 47, 83, 2147, 943, 1959, 21361, 5325, 106079}},
-{10315, 17, 39032, {1, 3, 5, 13, 27, 59, 35, 1, 155, 367, 165, 2665, 3021, 1127, 28585, 45347, 66763}},
-{10316, 17, 39044, {1, 3, 1, 5, 31, 31, 15, 125, 485, 581, 1987, 2293, 4573, 11431, 20773, 58661, 79869}},
-{10317, 17, 39056, {1, 3, 5, 15, 31, 11, 109, 229, 11, 831, 1545, 919, 6125, 9337, 4169, 58041, 67577}},
-{10318, 17, 39065, {1, 1, 1, 3, 1, 43, 13, 89, 89, 863, 1607, 1897, 4831, 5239, 24503, 51853, 126983}},
-{10319, 17, 39066, {1, 1, 5, 11, 11, 37, 11, 253, 495, 83, 941, 3665, 5187, 13679, 11811, 29563, 80571}},
-{10320, 17, 39084, {1, 3, 7, 15, 3, 45, 45, 157, 477, 321, 1401, 1133, 271, 12455, 31543, 18223, 116701}},
-{10321, 17, 39095, {1, 1, 5, 3, 7, 5, 17, 127, 195, 583, 715, 3975, 6865, 7617, 6749, 15687, 42375}},
-{10322, 17, 39099, {1, 1, 1, 7, 5, 7, 21, 163, 303, 45, 1435, 1345, 2489, 15333, 18459, 60837, 104339}},
-{10323, 17, 39101, {1, 3, 1, 1, 7, 23, 39, 93, 347, 947, 345, 1713, 6383, 15411, 10849, 32559, 126431}},
-{10324, 17, 39102, {1, 3, 1, 5, 19, 41, 119, 213, 3, 991, 1745, 3989, 155, 7761, 28179, 59805, 106759}},
-{10325, 17, 39104, {1, 1, 7, 5, 25, 11, 105, 89, 505, 711, 1213, 2831, 8087, 8855, 31171, 49749, 921}},
-{10326, 17, 39109, {1, 1, 5, 5, 23, 61, 49, 101, 209, 805, 123, 17, 805, 9033, 25753, 33261, 33753}},
-{10327, 17, 39114, {1, 1, 3, 5, 5, 17, 93, 223, 179, 307, 869, 1851, 4313, 477, 12925, 21365, 103999}},
-{10328, 17, 39121, {1, 1, 7, 13, 21, 23, 105, 53, 393, 939, 291, 2407, 4815, 4961, 30305, 8613, 62599}},
-{10329, 17, 39122, {1, 1, 1, 11, 9, 55, 55, 135, 411, 225, 205, 3357, 4553, 10139, 17649, 51209, 94037}},
-{10330, 17, 39127, {1, 3, 5, 15, 17, 17, 119, 15, 121, 581, 169, 2495, 3673, 7173, 13099, 7683, 53397}},
-{10331, 17, 39150, {1, 3, 1, 11, 29, 29, 119, 255, 447, 85, 845, 1015, 2793, 2471, 12639, 32155, 99193}},
-{10332, 17, 39172, {1, 3, 3, 3, 9, 33, 77, 251, 425, 1007, 1003, 2697, 4989, 7799, 26581, 15963, 50443}},
-{10333, 17, 39181, {1, 3, 1, 5, 13, 47, 13, 203, 473, 529, 147, 2061, 343, 4029, 14615, 51355, 27863}},
-{10334, 17, 39184, {1, 1, 3, 15, 19, 63, 39, 25, 241, 487, 461, 3021, 3545, 4537, 8991, 17689, 77131}},
-{10335, 17, 39193, {1, 3, 5, 5, 7, 1, 61, 89, 495, 943, 1061, 405, 449, 12785, 25151, 24497, 65709}},
-{10336, 17, 39199, {1, 1, 5, 3, 7, 43, 51, 55, 193, 615, 37, 1377, 2541, 3861, 29447, 32269, 106335}},
-{10337, 17, 39200, {1, 1, 5, 11, 21, 55, 103, 43, 421, 673, 175, 979, 5175, 1301, 8617, 55875, 111095}},
-{10338, 17, 39206, {1, 3, 5, 13, 29, 31, 33, 241, 129, 473, 201, 2015, 447, 99, 23781, 33517, 107851}},
-{10339, 17, 39209, {1, 3, 5, 3, 13, 27, 125, 205, 287, 957, 1609, 2907, 5481, 14239, 19719, 22459, 75365}},
-{10340, 17, 39235, {1, 3, 3, 5, 27, 23, 53, 39, 329, 381, 745, 517, 7853, 5333, 2773, 29119, 7049}},
-{10341, 17, 39238, {1, 3, 5, 15, 29, 11, 89, 3, 503, 755, 485, 2669, 6737, 16241, 7345, 50991, 107291}},
-{10342, 17, 39242, {1, 1, 7, 3, 17, 45, 11, 3, 157, 715, 577, 1309, 3323, 9401, 10573, 55135, 100067}},
-{10343, 17, 39244, {1, 1, 5, 9, 19, 21, 49, 103, 349, 503, 1447, 675, 4273, 7673, 27507, 57697, 80875}},
-{10344, 17, 39280, {1, 1, 5, 1, 9, 53, 19, 99, 225, 915, 431, 781, 3291, 4383, 26505, 50339, 99799}},
-{10345, 17, 39290, {1, 3, 1, 5, 7, 37, 87, 201, 481, 991, 1553, 1867, 7893, 13147, 18647, 10373, 51951}},
-{10346, 17, 39292, {1, 1, 3, 13, 17, 37, 19, 199, 253, 901, 759, 3545, 3565, 10461, 11867, 57605, 75555}},
-{10347, 17, 39296, {1, 1, 1, 5, 15, 23, 115, 69, 363, 673, 201, 2451, 3197, 10059, 1667, 47145, 89}},
-{10348, 17, 39305, {1, 1, 7, 13, 19, 31, 63, 35, 93, 939, 1057, 3221, 951, 3575, 9659, 7005, 2087}},
-{10349, 17, 39308, {1, 1, 7, 15, 15, 21, 79, 7, 23, 595, 1123, 1909, 6863, 7383, 28067, 30113, 107497}},
-{10350, 17, 39311, {1, 3, 5, 7, 11, 47, 41, 177, 163, 855, 1853, 3837, 6995, 9727, 27285, 62667, 77531}},
-{10351, 17, 39326, {1, 3, 7, 3, 3, 29, 99, 163, 95, 893, 1049, 2001, 2961, 601, 4613, 59745, 61203}},
-{10352, 17, 39329, {1, 3, 5, 1, 27, 5, 5, 47, 119, 631, 1171, 3467, 2115, 8581, 24863, 64193, 52093}},
-{10353, 17, 39330, {1, 1, 1, 5, 9, 51, 49, 251, 97, 177, 311, 993, 1103, 7875, 25273, 51587, 9081}},
-{10354, 17, 39336, {1, 3, 7, 5, 31, 21, 43, 137, 143, 779, 691, 2331, 5073, 5409, 13335, 999, 127765}},
-{10355, 17, 39339, {1, 1, 7, 1, 31, 33, 27, 193, 175, 755, 1559, 659, 5663, 10491, 29209, 50979, 116683}},
-{10356, 17, 39353, {1, 3, 1, 7, 23, 49, 1, 39, 117, 45, 1767, 3503, 4901, 5699, 23613, 44195, 17867}},
-{10357, 17, 39359, {1, 3, 7, 13, 3, 5, 105, 89, 343, 627, 1117, 3419, 2081, 5747, 7919, 44329, 125133}},
-{10358, 17, 39374, {1, 3, 1, 9, 13, 33, 53, 203, 17, 927, 127, 2195, 415, 11301, 15115, 54467, 128777}},
-{10359, 17, 39391, {1, 3, 7, 1, 9, 41, 15, 89, 403, 333, 57, 1159, 1325, 2335, 10609, 20485, 110317}},
-{10360, 17, 39392, {1, 3, 3, 5, 3, 61, 25, 155, 477, 907, 359, 359, 5119, 8157, 29945, 38955, 106485}},
-{10361, 17, 39402, {1, 1, 7, 5, 19, 47, 91, 89, 367, 703, 761, 431, 6813, 2983, 29739, 52453, 125935}},
-{10362, 17, 39409, {1, 1, 1, 7, 7, 61, 127, 239, 277, 649, 1111, 2319, 1737, 5071, 13469, 52119, 48899}},
-{10363, 17, 39410, {1, 3, 5, 15, 7, 17, 21, 209, 265, 895, 719, 263, 6871, 5835, 28483, 49859, 67619}},
-{10364, 17, 39415, {1, 3, 3, 15, 3, 7, 113, 109, 333, 545, 597, 1193, 7593, 3961, 25169, 64673, 47839}},
-{10365, 17, 39419, {1, 1, 1, 3, 15, 45, 55, 41, 317, 719, 1587, 2953, 2441, 1127, 9183, 21637, 69075}},
-{10366, 17, 39431, {1, 3, 1, 9, 25, 57, 59, 29, 89, 833, 379, 1085, 763, 14747, 30797, 24089, 83367}},
-{10367, 17, 39432, {1, 1, 5, 13, 29, 3, 117, 239, 453, 595, 243, 3103, 6047, 631, 22739, 41669, 11683}},
-{10368, 17, 39438, {1, 1, 3, 1, 9, 53, 81, 21, 67, 735, 827, 3519, 7991, 16249, 4183, 61295, 4531}},
-{10369, 17, 39443, {1, 3, 5, 3, 1, 57, 47, 99, 91, 71, 1421, 2949, 5951, 15439, 25239, 26453, 50199}},
-{10370, 17, 39445, {1, 1, 3, 15, 21, 3, 93, 21, 41, 809, 855, 727, 7797, 6957, 15835, 27175, 60617}},
-{10371, 17, 39449, {1, 1, 1, 13, 1, 3, 83, 135, 197, 171, 1459, 2841, 5021, 6961, 30675, 38295, 39555}},
-{10372, 17, 39461, {1, 1, 7, 5, 7, 49, 83, 83, 117, 73, 639, 2717, 651, 3253, 31635, 14427, 116509}},
-{10373, 17, 39462, {1, 3, 1, 3, 23, 63, 15, 23, 433, 539, 903, 2655, 1787, 12901, 12013, 41315, 128217}},
-{10374, 17, 39485, {1, 3, 1, 7, 5, 19, 3, 137, 493, 681, 775, 3725, 4855, 10817, 25277, 3631, 60779}},
-{10375, 17, 39508, {1, 3, 3, 5, 1, 7, 67, 39, 309, 77, 1679, 2853, 3803, 2065, 7461, 1555, 88219}},
-{10376, 17, 39515, {1, 1, 3, 5, 3, 47, 17, 193, 429, 789, 1525, 969, 7905, 6523, 10149, 64689, 40037}},
-{10377, 17, 39522, {1, 3, 5, 7, 21, 17, 65, 61, 255, 517, 1765, 2603, 4929, 11073, 7871, 29313, 84739}},
-{10378, 17, 39533, {1, 1, 5, 7, 13, 55, 111, 63, 499, 9, 1715, 957, 6951, 15839, 13531, 45483, 17923}},
-{10379, 17, 39541, {1, 1, 1, 1, 27, 7, 13, 135, 27, 259, 1735, 3847, 7931, 14777, 15249, 62367, 45773}},
-{10380, 17, 39542, {1, 1, 5, 3, 5, 7, 99, 171, 491, 1007, 195, 2223, 2657, 13557, 6549, 47125, 25117}},
-{10381, 17, 39557, {1, 1, 1, 9, 13, 21, 59, 205, 205, 951, 1707, 3387, 2901, 5463, 13403, 1917, 90591}},
-{10382, 17, 39570, {1, 3, 3, 5, 21, 37, 71, 91, 297, 885, 1415, 355, 2877, 9261, 6485, 45855, 90081}},
-{10383, 17, 39575, {1, 1, 5, 9, 23, 51, 107, 75, 93, 1015, 439, 3589, 3307, 337, 17247, 42285, 85417}},
-{10384, 17, 39576, {1, 1, 7, 15, 29, 33, 51, 23, 269, 35, 1241, 1137, 729, 14531, 14603, 47547, 17151}},
-{10385, 17, 39591, {1, 3, 3, 1, 25, 21, 51, 229, 55, 561, 653, 3289, 7629, 15445, 21115, 35941, 113669}},
-{10386, 17, 39597, {1, 1, 5, 15, 1, 33, 119, 171, 75, 621, 2025, 3235, 1895, 8279, 13205, 61085, 105401}},
-{10387, 17, 39603, {1, 3, 1, 7, 25, 33, 73, 25, 1, 531, 603, 77, 4939, 5957, 28065, 59467, 66659}},
-{10388, 17, 39610, {1, 1, 7, 3, 17, 61, 103, 47, 289, 39, 917, 2515, 6607, 1129, 23361, 46321, 81929}},
-{10389, 17, 39612, {1, 1, 7, 5, 29, 53, 5, 191, 151, 19, 895, 1215, 5401, 9861, 24751, 15481, 34179}},
-{10390, 17, 39617, {1, 3, 7, 9, 5, 3, 29, 205, 173, 547, 727, 947, 5619, 4181, 30621, 5553, 37587}},
-{10391, 17, 39620, {1, 1, 3, 9, 13, 59, 95, 145, 287, 849, 1483, 3375, 3531, 6585, 29565, 4243, 88333}},
-{10392, 17, 39624, {1, 1, 7, 11, 21, 23, 59, 223, 71, 743, 443, 697, 7789, 10371, 28565, 45127, 37967}},
-{10393, 17, 39627, {1, 3, 5, 11, 15, 25, 79, 71, 21, 817, 751, 189, 1769, 3835, 21465, 17991, 102043}},
-{10394, 17, 39635, {1, 1, 7, 11, 3, 19, 25, 5, 261, 181, 49, 261, 7715, 2195, 19771, 43463, 36533}},
-{10395, 17, 39641, {1, 1, 7, 13, 21, 21, 15, 235, 191, 197, 1305, 1351, 4511, 625, 6613, 37053, 59491}},
-{10396, 17, 39666, {1, 1, 1, 13, 15, 13, 93, 239, 251, 1009, 527, 1347, 4173, 14753, 27389, 20397, 13101}},
-{10397, 17, 39668, {1, 1, 3, 1, 15, 11, 127, 141, 277, 775, 1419, 2353, 6929, 2265, 7253, 19807, 74853}},
-{10398, 17, 39686, {1, 3, 3, 15, 15, 49, 9, 183, 407, 377, 675, 871, 347, 3417, 4409, 7805, 40507}},
-{10399, 17, 39692, {1, 3, 5, 3, 23, 11, 81, 53, 343, 681, 1777, 3411, 757, 10875, 3581, 56105, 79907}},
-{10400, 17, 39700, {1, 3, 5, 1, 25, 9, 109, 55, 283, 311, 1607, 2479, 5675, 8819, 10853, 38719, 44471}},
-{10401, 17, 39709, {1, 1, 7, 7, 9, 53, 33, 195, 503, 167, 993, 3203, 3885, 1921, 1039, 25785, 47411}},
-{10402, 17, 39726, {1, 3, 3, 3, 31, 3, 11, 85, 475, 743, 1825, 2649, 2373, 12177, 21481, 35579, 85803}},
-{10403, 17, 39728, {1, 3, 7, 3, 23, 45, 45, 207, 369, 773, 1579, 783, 2491, 7441, 21203, 57091, 107413}},
-{10404, 17, 39737, {1, 1, 1, 5, 19, 7, 97, 213, 431, 533, 637, 1767, 4945, 4693, 977, 64781, 111811}},
-{10405, 17, 39738, {1, 3, 7, 7, 1, 55, 101, 251, 153, 95, 1043, 3219, 3499, 6297, 11571, 9131, 61899}},
-{10406, 17, 39755, {1, 3, 5, 5, 25, 53, 121, 255, 69, 661, 799, 3559, 2029, 11701, 14151, 37897, 18333}},
-{10407, 17, 39757, {1, 1, 1, 9, 21, 19, 97, 21, 321, 957, 1115, 251, 5131, 8465, 24215, 34423, 12747}},
-{10408, 17, 39758, {1, 3, 5, 7, 17, 19, 99, 135, 429, 625, 1401, 1025, 4193, 2911, 7349, 34135, 9341}},
-{10409, 17, 39765, {1, 3, 5, 1, 5, 63, 97, 121, 307, 547, 1967, 641, 487, 4627, 30899, 62049, 94343}},
-{10410, 17, 39766, {1, 3, 5, 13, 1, 1, 109, 23, 267, 843, 271, 2277, 855, 4245, 2177, 33633, 113835}},
-{10411, 17, 39769, {1, 1, 3, 7, 3, 27, 91, 79, 27, 855, 2025, 443, 4797, 9005, 27533, 20497, 100431}},
-{10412, 17, 39779, {1, 3, 3, 5, 23, 7, 73, 35, 395, 649, 881, 2923, 4065, 853, 10829, 19461, 82383}},
-{10413, 17, 39785, {1, 3, 1, 5, 25, 13, 85, 93, 369, 259, 393, 3233, 799, 12409, 26631, 64291, 110133}},
-{10414, 17, 39794, {1, 3, 5, 5, 31, 35, 25, 239, 455, 893, 573, 1449, 3359, 12077, 17149, 12921, 66931}},
-{10415, 17, 39796, {1, 1, 7, 3, 25, 39, 67, 87, 215, 325, 627, 3609, 4417, 10021, 12047, 64593, 116525}},
-{10416, 17, 39809, {1, 1, 5, 5, 23, 51, 125, 247, 83, 419, 655, 635, 7053, 4907, 12887, 18083, 49481}},
-{10417, 17, 39815, {1, 1, 7, 11, 5, 25, 65, 139, 235, 331, 1885, 1851, 1061, 13265, 14371, 23067, 56757}},
-{10418, 17, 39829, {1, 1, 7, 9, 11, 15, 29, 255, 509, 869, 561, 2201, 487, 2989, 14943, 65373, 35789}},
-{10419, 17, 39834, {1, 1, 1, 3, 3, 33, 23, 121, 129, 351, 1481, 65, 321, 15927, 23849, 2813, 98547}},
-{10420, 17, 39839, {1, 1, 1, 3, 23, 55, 121, 35, 339, 87, 1147, 401, 1477, 10617, 15943, 20535, 89321}},
-{10421, 17, 39850, {1, 3, 5, 15, 25, 59, 111, 185, 305, 47, 523, 2801, 5485, 625, 30191, 58153, 9019}},
-{10422, 17, 39857, {1, 1, 7, 13, 15, 51, 105, 55, 77, 419, 1011, 1117, 2705, 15093, 15629, 51429, 58487}},
-{10423, 17, 39881, {1, 3, 7, 5, 15, 27, 19, 7, 401, 295, 1841, 1167, 2133, 1967, 6941, 13571, 29467}},
-{10424, 17, 39905, {1, 1, 5, 15, 25, 43, 23, 253, 173, 927, 1299, 2779, 5489, 16135, 1503, 51097, 105751}},
-{10425, 17, 39912, {1, 3, 3, 5, 9, 13, 5, 13, 411, 639, 1323, 1495, 2539, 15087, 21489, 49653, 76229}},
-{10426, 17, 39938, {1, 1, 1, 11, 7, 51, 47, 99, 247, 541, 1355, 2373, 4121, 13621, 7715, 16763, 127985}},
-{10427, 17, 39940, {1, 1, 3, 9, 7, 1, 85, 45, 269, 769, 581, 2229, 7143, 5203, 22483, 18511, 30997}},
-{10428, 17, 39944, {1, 3, 5, 7, 21, 41, 97, 225, 109, 195, 1197, 3417, 7613, 13225, 29157, 18969, 82045}},
-{10429, 17, 39955, {1, 3, 3, 3, 17, 41, 13, 77, 129, 679, 1659, 1299, 4809, 8537, 19081, 1281, 70793}},
-{10430, 17, 39961, {1, 1, 5, 5, 5, 49, 5, 15, 313, 941, 775, 259, 6579, 7745, 20531, 51669, 35257}},
-{10431, 17, 39977, {1, 1, 5, 5, 17, 35, 13, 235, 169, 699, 1365, 3907, 4231, 10965, 7737, 6735, 4253}},
-{10432, 17, 39980, {1, 1, 5, 3, 29, 3, 1, 197, 133, 935, 571, 3977, 2467, 2029, 12803, 64559, 6427}},
-{10433, 17, 39986, {1, 3, 5, 5, 27, 5, 69, 57, 439, 925, 1695, 827, 4685, 10971, 3011, 56821, 92187}},
-{10434, 17, 39988, {1, 1, 1, 3, 9, 45, 77, 179, 173, 1023, 907, 1999, 3913, 6973, 26987, 30237, 62987}},
-{10435, 17, 39991, {1, 3, 7, 3, 5, 21, 17, 97, 433, 277, 1515, 2923, 8025, 14119, 11243, 3983, 33943}},
-{10436, 17, 39998, {1, 1, 5, 7, 15, 13, 119, 169, 21, 927, 439, 361, 2655, 2237, 19775, 4157, 84245}},
-{10437, 17, 40003, {1, 3, 5, 5, 31, 41, 117, 159, 421, 505, 1617, 3855, 7835, 8105, 29525, 56735, 82335}},
-{10438, 17, 40005, {1, 1, 5, 5, 1, 33, 51, 3, 79, 933, 389, 493, 5969, 12493, 26723, 61159, 116951}},
-{10439, 17, 40023, {1, 3, 7, 13, 17, 23, 75, 13, 355, 111, 675, 3191, 3931, 5651, 17495, 4595, 49869}},
-{10440, 17, 40024, {1, 1, 7, 7, 15, 21, 35, 125, 89, 903, 697, 3493, 4043, 6631, 4793, 45655, 86969}},
-{10441, 17, 40045, {1, 3, 1, 15, 13, 43, 113, 213, 451, 473, 191, 2913, 6391, 1321, 29615, 24791, 26979}},
-{10442, 17, 40046, {1, 3, 3, 13, 17, 25, 9, 163, 163, 161, 1647, 3949, 1343, 12881, 10931, 31365, 70013}},
-{10443, 17, 40058, {1, 3, 7, 3, 3, 19, 1, 121, 387, 543, 1655, 1797, 6727, 2951, 21925, 21595, 73207}},
-{10444, 17, 40088, {1, 1, 5, 9, 7, 19, 91, 9, 83, 893, 1393, 163, 2219, 7763, 32395, 29569, 98645}},
-{10445, 17, 40091, {1, 1, 5, 7, 13, 63, 91, 115, 247, 387, 87, 3239, 7561, 297, 32615, 48817, 41761}},
-{10446, 17, 40098, {1, 3, 5, 3, 21, 23, 27, 141, 257, 377, 1745, 443, 897, 9033, 1715, 9225, 110181}},
-{10447, 17, 40109, {1, 1, 7, 9, 23, 49, 125, 131, 225, 253, 139, 2057, 3273, 4049, 6861, 4463, 11659}},
-{10448, 17, 40112, {1, 1, 5, 11, 5, 41, 97, 213, 133, 481, 2009, 2039, 1533, 10765, 22427, 23297, 80661}},
-{10449, 17, 40124, {1, 1, 5, 15, 9, 11, 77, 129, 421, 219, 1623, 703, 1611, 13377, 9859, 42869, 101943}},
-{10450, 17, 40130, {1, 3, 3, 3, 17, 63, 55, 29, 317, 973, 1159, 11, 1733, 14551, 25911, 39151, 45861}},
-{10451, 17, 40153, {1, 3, 7, 11, 29, 63, 107, 193, 263, 799, 1171, 543, 553, 12591, 21965, 8165, 64347}},
-{10452, 17, 40166, {1, 1, 7, 15, 23, 49, 65, 65, 401, 897, 681, 1113, 6737, 9157, 1557, 55891, 129175}},
-{10453, 17, 40175, {1, 3, 3, 1, 15, 23, 107, 123, 313, 633, 1009, 2615, 1155, 11701, 21945, 7939, 28111}},
-{10454, 17, 40183, {1, 3, 1, 11, 15, 11, 47, 137, 299, 393, 877, 1989, 5903, 6505, 9599, 4129, 23073}},
-{10455, 17, 40184, {1, 1, 7, 15, 9, 49, 67, 15, 79, 125, 505, 17, 8071, 12957, 13855, 23611, 66465}},
-{10456, 17, 40207, {1, 1, 5, 13, 31, 49, 1, 161, 121, 145, 711, 1347, 5297, 11309, 9871, 43075, 95541}},
-{10457, 17, 40215, {1, 3, 3, 13, 19, 7, 55, 199, 469, 471, 1269, 3779, 6251, 3513, 1775, 19501, 94055}},
-{10458, 17, 40225, {1, 3, 3, 13, 9, 41, 109, 211, 197, 227, 1211, 3327, 1247, 12253, 4493, 31507, 38677}},
-{10459, 17, 40235, {1, 1, 7, 3, 11, 45, 11, 103, 325, 849, 1817, 3971, 1059, 9047, 27237, 32211, 121165}},
-{10460, 17, 40240, {1, 3, 3, 3, 13, 43, 7, 35, 293, 3, 679, 1441, 5189, 7585, 32009, 6151, 89803}},
-{10461, 17, 40255, {1, 1, 7, 9, 29, 41, 127, 255, 363, 913, 2027, 3891, 5187, 10233, 8871, 48085, 125609}},
-{10462, 17, 40263, {1, 3, 1, 5, 21, 23, 59, 145, 171, 775, 535, 3803, 6981, 15901, 20255, 63199, 92905}},
-{10463, 17, 40270, {1, 3, 5, 9, 7, 63, 53, 7, 145, 547, 1753, 3351, 1273, 8175, 24103, 42133, 87459}},
-{10464, 17, 40277, {1, 3, 7, 7, 25, 33, 5, 217, 469, 473, 1573, 2525, 7345, 5261, 7023, 50893, 124129}},
-{10465, 17, 40282, {1, 3, 5, 13, 5, 51, 23, 61, 429, 775, 519, 2671, 1979, 9005, 21617, 33611, 120487}},
-{10466, 17, 40297, {1, 3, 3, 15, 23, 1, 73, 187, 47, 369, 943, 99, 2529, 5569, 13649, 51481, 128949}},
-{10467, 17, 40306, {1, 3, 1, 5, 25, 55, 35, 191, 327, 845, 1353, 261, 6297, 6067, 22241, 32381, 17749}},
-{10468, 17, 40315, {1, 1, 5, 15, 31, 5, 29, 129, 15, 47, 739, 755, 7595, 14743, 14705, 34347, 11805}},
-{10469, 17, 40333, {1, 3, 1, 3, 15, 49, 119, 47, 185, 63, 2003, 2847, 5393, 855, 7699, 29521, 67011}},
-{10470, 17, 40334, {1, 3, 7, 15, 11, 41, 37, 149, 173, 1015, 29, 1805, 1269, 16199, 32337, 11023, 60065}},
-{10471, 17, 40336, {1, 1, 1, 7, 31, 19, 65, 81, 255, 875, 1379, 2347, 1873, 14427, 29523, 38413, 65583}},
-{10472, 17, 40342, {1, 1, 1, 15, 13, 59, 3, 219, 127, 479, 1029, 3385, 563, 11825, 10081, 17423, 26431}},
-{10473, 17, 40345, {1, 1, 1, 1, 25, 27, 79, 87, 489, 281, 457, 3527, 5117, 4705, 21167, 46211, 90383}},
-{10474, 17, 40348, {1, 3, 7, 13, 7, 5, 67, 111, 53, 439, 1483, 3639, 7781, 9471, 10957, 60711, 64957}},
-{10475, 17, 40355, {1, 3, 7, 9, 7, 7, 41, 137, 159, 245, 551, 4007, 1277, 4743, 4863, 48689, 123289}},
-{10476, 17, 40372, {1, 3, 7, 9, 15, 49, 55, 77, 41, 475, 1563, 3569, 5993, 301, 14831, 44095, 22641}},
-{10477, 17, 40381, {1, 1, 1, 1, 15, 33, 39, 135, 81, 533, 869, 305, 1125, 6399, 14321, 37217, 121081}},
-{10478, 17, 40390, {1, 1, 7, 15, 21, 59, 43, 7, 225, 1, 115, 1531, 2931, 2593, 15935, 61973, 106899}},
-{10479, 17, 40407, {1, 1, 1, 1, 13, 13, 99, 191, 437, 367, 641, 1933, 5807, 11677, 13557, 46475, 34875}},
-{10480, 17, 40435, {1, 3, 7, 9, 21, 7, 119, 209, 31, 919, 901, 1229, 5823, 11439, 18151, 18991, 114743}},
-{10481, 17, 40437, {1, 3, 3, 3, 19, 37, 109, 53, 411, 617, 1841, 2769, 1271, 5719, 22359, 1199, 72405}},
-{10482, 17, 40441, {1, 1, 1, 5, 29, 3, 51, 59, 141, 897, 1907, 3799, 1463, 5661, 181, 50565, 95085}},
-{10483, 17, 40444, {1, 1, 1, 7, 1, 35, 77, 225, 341, 587, 137, 35, 2177, 15177, 12869, 35013, 39471}},
-{10484, 17, 40458, {1, 1, 3, 13, 15, 63, 45, 33, 337, 1, 1133, 263, 4985, 11591, 1085, 31197, 67897}},
-{10485, 17, 40460, {1, 1, 5, 13, 23, 11, 123, 21, 185, 639, 145, 3865, 2999, 6261, 23247, 23055, 32755}},
-{10486, 17, 40481, {1, 1, 5, 9, 19, 21, 47, 133, 281, 431, 1661, 3719, 3637, 973, 9727, 52627, 60035}},
-{10487, 17, 40484, {1, 1, 3, 5, 3, 19, 19, 89, 63, 549, 551, 3357, 5665, 4781, 22437, 1149, 10825}},
-{10488, 17, 40487, {1, 3, 5, 15, 3, 25, 81, 193, 11, 711, 1481, 1767, 1159, 4967, 16915, 3387, 26245}},
-{10489, 17, 40493, {1, 1, 1, 3, 29, 39, 23, 131, 473, 107, 765, 2249, 6087, 9145, 20751, 21085, 42989}},
-{10490, 17, 40494, {1, 3, 1, 9, 7, 39, 13, 199, 475, 333, 269, 1041, 5927, 14039, 19081, 9045, 119645}},
-{10491, 17, 40501, {1, 1, 5, 13, 11, 61, 99, 71, 151, 175, 1327, 3397, 5063, 10683, 7895, 62255, 85749}},
-{10492, 17, 40502, {1, 3, 7, 9, 1, 57, 21, 217, 423, 467, 1435, 2887, 1567, 8819, 19961, 36507, 110309}},
-{10493, 17, 40525, {1, 3, 3, 11, 11, 35, 77, 127, 153, 357, 865, 1943, 1947, 10995, 13617, 44347, 26851}},
-{10494, 17, 40550, {1, 3, 1, 11, 9, 43, 31, 81, 123, 813, 995, 169, 6593, 13621, 32195, 51125, 53509}},
-{10495, 17, 40553, {1, 1, 5, 5, 27, 29, 77, 35, 93, 545, 377, 2345, 6475, 15729, 15103, 49591, 101121}},
-{10496, 17, 40559, {1, 1, 5, 13, 1, 17, 97, 187, 129, 173, 641, 2937, 3277, 15087, 28111, 46905, 112367}},
-{10497, 17, 40562, {1, 3, 7, 7, 1, 27, 75, 43, 305, 431, 571, 1327, 7419, 3093, 2691, 23417, 11975}},
-{10498, 17, 40573, {1, 1, 5, 15, 17, 3, 91, 57, 417, 87, 1891, 1973, 5765, 5521, 21931, 60011, 20883}},
-{10499, 17, 40574, {1, 3, 1, 3, 27, 13, 105, 153, 495, 371, 453, 1295, 5675, 6377, 8971, 40505, 41149}},
-{10500, 17, 40578, {1, 1, 1, 15, 1, 17, 105, 177, 41, 455, 611, 3585, 2307, 2603, 20985, 5581, 14033}},
-{10501, 17, 40583, {1, 3, 3, 9, 7, 41, 33, 145, 307, 293, 1321, 2151, 3265, 14845, 15687, 38715, 8041}},
-{10502, 17, 40584, {1, 3, 3, 3, 5, 47, 127, 253, 129, 337, 1467, 5, 2743, 1921, 26979, 11737, 41479}},
-{10503, 17, 40587, {1, 1, 1, 5, 15, 35, 37, 9, 5, 405, 1041, 1903, 3655, 14315, 9441, 20577, 50715}},
-{10504, 17, 40597, {1, 1, 5, 15, 7, 5, 53, 61, 409, 353, 87, 1805, 4523, 11417, 24105, 21451, 56387}},
-{10505, 17, 40620, {1, 3, 3, 5, 5, 9, 25, 249, 511, 795, 559, 2695, 3071, 3971, 29421, 46593, 96563}},
-{10506, 17, 40623, {1, 1, 3, 1, 3, 39, 61, 85, 399, 105, 1253, 3787, 3065, 10553, 8195, 5637, 129579}},
-{10507, 17, 40631, {1, 3, 3, 7, 23, 23, 23, 197, 263, 687, 943, 1977, 5767, 15373, 17995, 24509, 81293}},
-{10508, 17, 40643, {1, 3, 1, 11, 15, 37, 15, 67, 207, 985, 895, 509, 3435, 11563, 2055, 19253, 42649}},
-{10509, 17, 40660, {1, 1, 7, 3, 1, 51, 59, 133, 241, 569, 1575, 3633, 2243, 11939, 5501, 11249, 86013}},
-{10510, 17, 40667, {1, 1, 7, 13, 25, 59, 97, 191, 385, 179, 1195, 1537, 1837, 11953, 14231, 37025, 49803}},
-{10511, 17, 40676, {1, 3, 5, 5, 13, 49, 19, 171, 503, 433, 1633, 553, 2759, 4379, 18313, 62437, 37453}},
-{10512, 17, 40693, {1, 3, 3, 15, 29, 49, 107, 239, 21, 913, 1095, 989, 4749, 10657, 27169, 15913, 1573}},
-{10513, 17, 40697, {1, 1, 1, 1, 3, 3, 53, 241, 287, 149, 557, 2665, 2027, 449, 29231, 23025, 102521}},
-{10514, 17, 40708, {1, 3, 5, 7, 23, 21, 9, 1, 11, 837, 1337, 2815, 7883, 16053, 10031, 43405, 5037}},
-{10515, 17, 40718, {1, 3, 7, 1, 23, 53, 113, 125, 337, 491, 1125, 3083, 4941, 951, 15805, 1571, 79779}},
-{10516, 17, 40726, {1, 3, 7, 13, 1, 3, 95, 105, 431, 723, 1771, 3773, 177, 2045, 24719, 57727, 79005}},
-{10517, 17, 40735, {1, 3, 1, 1, 7, 17, 107, 171, 213, 437, 409, 2015, 7543, 12693, 23597, 44477, 72543}},
-{10518, 17, 40739, {1, 3, 5, 9, 7, 21, 27, 167, 473, 901, 1245, 3737, 3485, 14593, 7619, 18753, 14209}},
-{10519, 17, 40748, {1, 1, 1, 3, 25, 37, 51, 21, 363, 73, 711, 3749, 5147, 8495, 30151, 14275, 128217}},
-{10520, 17, 40760, {1, 3, 1, 13, 17, 35, 69, 15, 293, 331, 301, 691, 7315, 6495, 315, 62909, 105047}},
-{10521, 17, 40763, {1, 3, 5, 3, 25, 23, 105, 111, 213, 887, 1701, 2085, 5931, 9217, 4009, 2321, 103631}},
-{10522, 17, 40773, {1, 1, 7, 15, 17, 57, 59, 249, 267, 941, 777, 2509, 6587, 12033, 24969, 31563, 129049}},
-{10523, 17, 40774, {1, 1, 1, 5, 31, 23, 31, 217, 509, 973, 659, 673, 7759, 3865, 21221, 4319, 117411}},
-{10524, 17, 40786, {1, 1, 3, 7, 13, 13, 103, 179, 107, 233, 753, 3121, 835, 13595, 9271, 31421, 45275}},
-{10525, 17, 40791, {1, 3, 5, 13, 23, 61, 125, 189, 283, 83, 1087, 755, 3697, 14845, 27901, 16389, 82993}},
-{10526, 17, 40798, {1, 3, 1, 3, 1, 55, 25, 139, 435, 681, 1913, 975, 3109, 6699, 12943, 50865, 71811}},
-{10527, 17, 40801, {1, 3, 1, 5, 15, 61, 17, 219, 29, 805, 1881, 3761, 3535, 473, 15629, 26301, 51085}},
-{10528, 17, 40808, {1, 3, 1, 1, 7, 43, 87, 93, 355, 247, 641, 2851, 4565, 9293, 6025, 1945, 112549}},
-{10529, 17, 40811, {1, 3, 7, 5, 19, 55, 69, 227, 107, 443, 1587, 2457, 2873, 953, 27529, 57527, 54145}},
-{10530, 17, 40813, {1, 1, 5, 9, 1, 33, 31, 241, 339, 791, 399, 3435, 1711, 10815, 32657, 59875, 31291}},
-{10531, 17, 40825, {1, 1, 1, 7, 25, 59, 87, 115, 435, 47, 1907, 193, 6069, 10933, 9877, 46443, 3451}},
-{10532, 17, 40831, {1, 3, 3, 15, 25, 33, 19, 121, 133, 253, 1227, 75, 2839, 3341, 30727, 52451, 44883}},
-{10533, 17, 40835, {1, 1, 7, 11, 5, 47, 97, 255, 235, 565, 1701, 529, 839, 15473, 24471, 5749, 73135}},
-{10534, 17, 40856, {1, 1, 3, 7, 21, 15, 31, 81, 389, 957, 603, 3879, 2875, 11987, 24625, 53667, 77775}},
-{10535, 17, 40861, {1, 1, 5, 11, 29, 29, 31, 233, 107, 541, 561, 2533, 1421, 13587, 6943, 45635, 71315}},
-{10536, 17, 40880, {1, 3, 1, 9, 25, 19, 33, 53, 509, 485, 1637, 2877, 5927, 16059, 195, 17279, 127025}},
-{10537, 17, 40889, {1, 1, 1, 3, 9, 23, 97, 101, 337, 43, 1979, 1139, 3693, 2601, 8225, 53037, 63709}},
-{10538, 17, 40912, {1, 1, 7, 7, 17, 25, 121, 253, 63, 105, 527, 1397, 121, 9665, 29151, 10795, 79077}},
-{10539, 17, 40918, {1, 3, 3, 1, 27, 33, 123, 69, 209, 25, 1677, 1569, 4441, 7817, 5165, 29517, 117165}},
-{10540, 17, 40924, {1, 1, 5, 15, 3, 59, 13, 25, 359, 71, 179, 3925, 6899, 6007, 9121, 36297, 88541}},
-{10541, 17, 40927, {1, 1, 3, 11, 23, 17, 55, 133, 27, 277, 1055, 1057, 807, 1221, 1665, 64129, 102395}},
-{10542, 17, 40928, {1, 3, 1, 15, 13, 15, 105, 141, 329, 73, 609, 1663, 3277, 1767, 6371, 34325, 109563}},
-{10543, 17, 40938, {1, 1, 5, 1, 17, 21, 37, 81, 187, 403, 291, 1495, 5071, 14289, 29075, 44089, 95001}},
-{10544, 17, 40952, {1, 3, 3, 3, 15, 33, 49, 155, 41, 853, 15, 3571, 1433, 8469, 18711, 59007, 98703}},
-{10545, 17, 40957, {1, 3, 1, 13, 17, 47, 61, 151, 127, 87, 207, 3157, 5141, 14745, 32567, 18401, 7497}},
-{10546, 17, 40961, {1, 3, 5, 1, 19, 25, 49, 147, 137, 603, 1223, 3195, 5965, 11335, 20343, 10109, 63975}},
-{10547, 17, 40968, {1, 1, 7, 13, 29, 59, 1, 33, 157, 765, 961, 641, 7303, 3279, 20287, 37553, 114573}},
-{10548, 17, 40974, {1, 3, 5, 1, 11, 63, 63, 41, 15, 717, 1037, 227, 7875, 8681, 26943, 11761, 28005}},
-{10549, 17, 40986, {1, 3, 1, 3, 19, 5, 67, 169, 209, 293, 343, 2033, 7669, 1077, 15513, 54475, 15459}},
-{10550, 17, 40992, {1, 1, 3, 3, 17, 47, 49, 187, 341, 767, 1463, 301, 2083, 9265, 12313, 14763, 126627}},
-{10551, 17, 41001, {1, 3, 5, 13, 11, 15, 45, 237, 445, 55, 319, 2989, 5043, 1053, 22809, 23111, 7617}},
-{10552, 17, 41004, {1, 1, 7, 9, 7, 15, 41, 185, 511, 701, 1279, 1995, 7829, 2947, 3431, 45799, 1709}},
-{10553, 17, 41022, {1, 3, 7, 15, 5, 15, 85, 29, 487, 811, 1653, 483, 1193, 11331, 21815, 57215, 8373}},
-{10554, 17, 41033, {1, 3, 1, 15, 27, 19, 111, 161, 19, 373, 419, 1547, 2415, 10705, 17283, 56663, 73625}},
-{10555, 17, 41036, {1, 1, 3, 11, 27, 7, 75, 57, 411, 35, 685, 1249, 5227, 7313, 3167, 30537, 40655}},
-{10556, 17, 41039, {1, 3, 1, 9, 7, 37, 9, 209, 353, 319, 843, 657, 2069, 6523, 611, 16291, 107121}},
-{10557, 17, 41044, {1, 1, 5, 11, 11, 51, 25, 171, 315, 63, 207, 2279, 2379, 3583, 31927, 62451, 109911}},
-{10558, 17, 41064, {1, 1, 7, 11, 15, 41, 19, 175, 103, 605, 1889, 3161, 1217, 3259, 29655, 11715, 35551}},
-{10559, 17, 41078, {1, 3, 5, 13, 23, 11, 121, 147, 179, 397, 659, 3753, 2355, 1093, 25863, 39751, 112381}},
-{10560, 17, 41091, {1, 3, 5, 7, 1, 23, 37, 117, 7, 361, 991, 661, 4427, 15333, 5307, 55171, 96959}},
-{10561, 17, 41103, {1, 3, 1, 5, 17, 9, 77, 147, 289, 79, 295, 1271, 7809, 6387, 31785, 26489, 9335}},
-{10562, 17, 41108, {1, 1, 1, 7, 17, 33, 63, 147, 17, 515, 1349, 1907, 7703, 5511, 27773, 54025, 30019}},
-{10563, 17, 41112, {1, 3, 5, 3, 27, 57, 75, 129, 219, 533, 207, 3569, 5799, 6943, 12271, 53115, 120389}},
-{10564, 17, 41127, {1, 1, 1, 13, 11, 25, 101, 251, 289, 215, 1875, 1821, 703, 15395, 27167, 43187, 63401}},
-{10565, 17, 41128, {1, 1, 7, 15, 7, 39, 125, 41, 57, 513, 17, 965, 3225, 12833, 21131, 53243, 60377}},
-{10566, 17, 41136, {1, 3, 5, 3, 21, 19, 43, 195, 259, 523, 587, 3393, 6621, 43, 10951, 51877, 79967}},
-{10567, 17, 41141, {1, 3, 3, 7, 7, 19, 11, 89, 321, 821, 99, 2201, 1297, 949, 11539, 6295, 19721}},
-{10568, 17, 41146, {1, 1, 5, 3, 29, 27, 123, 111, 441, 441, 337, 3849, 1677, 14403, 17203, 50661, 92177}},
-{10569, 17, 41156, {1, 3, 5, 9, 23, 23, 73, 153, 241, 841, 371, 1503, 5815, 14117, 4679, 17997, 112269}},
-{10570, 17, 41159, {1, 1, 1, 1, 7, 37, 105, 185, 453, 905, 15, 57, 6963, 9665, 3371, 2391, 96023}},
-{10571, 17, 41163, {1, 3, 7, 1, 1, 21, 35, 43, 449, 111, 191, 2163, 3249, 15049, 30215, 43569, 127973}},
-{10572, 17, 41165, {1, 3, 3, 3, 17, 13, 77, 123, 471, 929, 1797, 2061, 355, 4441, 1101, 24631, 128711}},
-{10573, 17, 41166, {1, 3, 7, 7, 17, 51, 1, 69, 23, 1003, 535, 3751, 765, 5253, 21027, 52901, 61951}},
-{10574, 17, 41184, {1, 1, 7, 9, 25, 13, 33, 13, 423, 787, 223, 729, 4443, 227, 11487, 14259, 52951}},
-{10575, 17, 41193, {1, 3, 5, 5, 25, 27, 113, 93, 13, 679, 1295, 3773, 7253, 14629, 8907, 45885, 85387}},
-{10576, 17, 41202, {1, 3, 3, 13, 15, 55, 99, 31, 119, 955, 1477, 3745, 6777, 973, 4723, 62133, 65093}},
-{10577, 17, 41211, {1, 3, 3, 9, 13, 51, 105, 37, 477, 579, 765, 2573, 6869, 3891, 30969, 63413, 56603}},
-{10578, 17, 41216, {1, 3, 1, 3, 15, 23, 67, 109, 75, 721, 523, 1433, 3455, 6377, 23795, 13711, 121349}},
-{10579, 17, 41239, {1, 1, 3, 11, 5, 5, 99, 117, 233, 621, 509, 3235, 7483, 12325, 13203, 20075, 27537}},
-{10580, 17, 41243, {1, 3, 3, 9, 23, 51, 93, 245, 307, 689, 1993, 3607, 1985, 11839, 25553, 54941, 68741}},
-{10581, 17, 41249, {1, 1, 3, 5, 19, 21, 33, 71, 447, 539, 351, 2549, 87, 4317, 1287, 62289, 121065}},
-{10582, 17, 41262, {1, 3, 5, 5, 9, 23, 37, 189, 449, 263, 37, 3127, 1709, 10793, 7379, 38565, 8267}},
-{10583, 17, 41267, {1, 1, 7, 7, 7, 33, 23, 79, 457, 947, 1275, 2755, 3747, 9225, 31385, 8785, 76945}},
-{10584, 17, 41276, {1, 3, 1, 9, 17, 33, 29, 59, 505, 649, 1679, 3609, 1361, 5987, 26455, 17295, 98697}},
-{10585, 17, 41279, {1, 1, 3, 11, 7, 47, 127, 79, 419, 143, 349, 985, 6397, 10271, 29427, 19661, 32629}},
-{10586, 17, 41305, {1, 1, 5, 13, 15, 5, 79, 171, 491, 223, 1601, 705, 623, 4405, 10065, 28057, 105737}},
-{10587, 17, 41306, {1, 1, 7, 3, 29, 7, 81, 69, 265, 669, 1763, 2109, 6275, 7683, 19561, 26737, 54449}},
-{10588, 17, 41312, {1, 1, 1, 7, 1, 1, 5, 9, 65, 487, 1663, 1021, 1819, 9971, 22065, 40407, 4187}},
-{10589, 17, 41317, {1, 3, 5, 5, 21, 33, 11, 213, 309, 575, 427, 1421, 6435, 981, 31533, 16751, 47813}},
-{10590, 17, 41321, {1, 3, 3, 13, 7, 59, 65, 65, 401, 195, 211, 421, 1139, 11729, 19717, 20699, 111863}},
-{10591, 17, 41332, {1, 3, 7, 5, 17, 51, 25, 217, 223, 935, 431, 1703, 4869, 5635, 199, 5485, 37311}},
-{10592, 17, 41335, {1, 1, 3, 11, 23, 25, 15, 37, 187, 1007, 857, 3327, 5471, 10089, 13745, 1741, 37769}},
-{10593, 17, 41345, {1, 3, 5, 15, 31, 17, 75, 125, 1, 449, 1293, 3427, 709, 8285, 31143, 50655, 130793}},
-{10594, 17, 41346, {1, 1, 7, 3, 25, 55, 105, 255, 319, 183, 1571, 2425, 5429, 7151, 8569, 37447, 23055}},
-{10595, 17, 41351, {1, 3, 1, 1, 23, 37, 17, 61, 161, 559, 1025, 2651, 5861, 5231, 1365, 4853, 127301}},
-{10596, 17, 41365, {1, 3, 1, 9, 17, 37, 87, 241, 411, 53, 1555, 3805, 6867, 125, 9829, 53581, 117413}},
-{10597, 17, 41388, {1, 3, 3, 3, 23, 55, 121, 109, 441, 623, 1345, 3055, 2591, 11329, 16891, 61347, 125643}},
-{10598, 17, 41399, {1, 3, 1, 1, 5, 29, 53, 97, 15, 275, 1587, 1245, 379, 16117, 24369, 26873, 39547}},
-{10599, 17, 41405, {1, 3, 1, 5, 3, 63, 85, 167, 301, 45, 1357, 1185, 3939, 945, 24961, 59427, 128129}},
-{10600, 17, 41414, {1, 3, 1, 7, 23, 25, 109, 253, 37, 151, 17, 1241, 787, 15895, 7947, 65071, 14765}},
-{10601, 17, 41432, {1, 3, 3, 1, 7, 3, 103, 35, 73, 533, 1055, 823, 7403, 8117, 28813, 42457, 56037}},
-{10602, 17, 41454, {1, 3, 5, 15, 1, 15, 97, 109, 293, 259, 935, 2977, 5257, 14563, 28871, 17647, 34185}},
-{10603, 17, 41461, {1, 1, 1, 3, 29, 21, 101, 163, 173, 1019, 1025, 553, 945, 3781, 1097, 58025, 124819}},
-{10604, 17, 41462, {1, 1, 3, 9, 7, 35, 65, 61, 31, 547, 75, 3515, 6719, 12809, 23287, 14609, 30341}},
-{10605, 17, 41471, {1, 3, 7, 9, 3, 53, 21, 207, 383, 917, 1383, 2873, 1663, 15665, 1787, 50741, 35145}},
-{10606, 17, 41478, {1, 3, 7, 5, 3, 35, 113, 191, 171, 635, 1597, 2943, 2421, 5555, 6457, 22087, 104221}},
-{10607, 17, 41490, {1, 1, 1, 1, 29, 25, 3, 225, 175, 807, 1325, 215, 6475, 10729, 18619, 45401, 20627}},
-{10608, 17, 41506, {1, 1, 5, 11, 23, 25, 39, 207, 81, 633, 403, 3369, 1295, 1289, 20853, 48899, 16613}},
-{10609, 17, 41508, {1, 1, 7, 15, 5, 23, 17, 77, 169, 969, 1459, 3795, 3121, 5501, 32323, 46743, 124175}},
-{10610, 17, 41512, {1, 1, 7, 13, 3, 25, 77, 153, 105, 1017, 1599, 237, 4691, 1993, 6707, 50265, 13529}},
-{10611, 17, 41517, {1, 3, 3, 15, 7, 11, 81, 223, 61, 589, 1263, 3999, 7643, 12101, 19853, 49279, 29999}},
-{10612, 17, 41520, {1, 3, 1, 13, 3, 31, 61, 59, 41, 313, 115, 561, 3973, 13513, 6359, 29395, 34565}},
-{10613, 17, 41529, {1, 1, 7, 7, 7, 61, 91, 181, 307, 875, 2045, 1367, 3743, 6497, 2443, 12153, 96431}},
-{10614, 17, 41530, {1, 1, 3, 7, 19, 63, 97, 211, 157, 945, 891, 3747, 5483, 3081, 28939, 11179, 15935}},
-{10615, 17, 41544, {1, 3, 7, 3, 23, 39, 51, 137, 91, 179, 1515, 1397, 2783, 9343, 11483, 52407, 111725}},
-{10616, 17, 41550, {1, 3, 3, 11, 11, 25, 111, 61, 115, 329, 485, 1713, 565, 8607, 18869, 6595, 18605}},
-{10617, 17, 41571, {1, 1, 5, 1, 13, 59, 67, 231, 443, 695, 1185, 393, 6393, 12957, 15817, 37219, 113127}},
-{10618, 17, 41577, {1, 3, 5, 3, 15, 57, 25, 97, 321, 627, 15, 2005, 3813, 10399, 26779, 24243, 66463}},
-{10619, 17, 41580, {1, 3, 7, 7, 17, 43, 117, 179, 447, 1005, 2007, 1753, 7685, 13331, 5187, 49341, 111927}},
-{10620, 17, 41595, {1, 1, 3, 3, 5, 53, 35, 185, 93, 847, 1523, 3039, 25, 3351, 23195, 41133, 38547}},
-{10621, 17, 41613, {1, 1, 7, 5, 27, 59, 95, 137, 55, 129, 331, 127, 7421, 5633, 557, 18137, 89055}},
-{10622, 17, 41622, {1, 3, 3, 11, 5, 53, 93, 137, 175, 191, 1645, 2047, 2569, 8177, 22691, 4037, 31823}},
-{10623, 17, 41635, {1, 3, 3, 11, 11, 45, 77, 7, 21, 541, 49, 1689, 171, 829, 28917, 45095, 1807}},
-{10624, 17, 41642, {1, 3, 7, 5, 21, 5, 113, 81, 33, 681, 361, 1107, 1597, 115, 11503, 27413, 9199}},
-{10625, 17, 41661, {1, 1, 3, 11, 29, 57, 15, 249, 105, 683, 833, 2579, 3517, 16153, 17373, 32587, 124333}},
-{10626, 17, 41676, {1, 3, 7, 13, 3, 35, 55, 23, 293, 5, 2003, 2741, 4237, 8117, 20569, 63967, 106041}},
-{10627, 17, 41681, {1, 3, 3, 1, 1, 15, 57, 119, 135, 967, 1495, 801, 4959, 5037, 10051, 53915, 116891}},
-{10628, 17, 41684, {1, 1, 7, 9, 15, 29, 53, 139, 505, 473, 1179, 3289, 369, 13147, 15739, 16739, 54949}},
-{10629, 17, 41687, {1, 1, 5, 7, 7, 45, 17, 213, 381, 63, 437, 3099, 3765, 175, 13521, 11689, 58675}},
-{10630, 17, 41688, {1, 1, 7, 1, 15, 35, 55, 43, 147, 873, 1193, 3801, 2301, 14569, 31789, 50443, 62577}},
-{10631, 17, 41694, {1, 1, 5, 7, 21, 41, 3, 45, 43, 303, 1465, 1461, 5295, 13397, 30439, 7103, 87505}},
-{10632, 17, 41698, {1, 1, 1, 15, 19, 27, 81, 141, 307, 259, 521, 1785, 6917, 15635, 27781, 64809, 53297}},
-{10633, 17, 41710, {1, 1, 1, 7, 27, 15, 53, 99, 377, 935, 1869, 3835, 741, 8447, 18947, 10727, 72179}},
-{10634, 17, 41712, {1, 1, 3, 5, 15, 51, 91, 207, 7, 997, 935, 591, 7325, 3025, 11335, 32087, 109535}},
-{10635, 17, 41721, {1, 3, 1, 5, 11, 13, 1, 57, 45, 307, 1839, 1735, 2247, 13117, 17471, 16599, 103063}},
-{10636, 17, 41722, {1, 3, 5, 11, 19, 7, 121, 3, 325, 731, 1945, 4025, 7649, 8939, 11147, 59065, 49971}},
-{10637, 17, 41729, {1, 3, 1, 5, 29, 63, 95, 121, 467, 7, 1857, 2389, 5213, 3931, 21187, 43529, 6767}},
-{10638, 17, 41744, {1, 1, 7, 7, 9, 53, 31, 227, 95, 827, 927, 3501, 2003, 12853, 2595, 33223, 125799}},
-{10639, 17, 41747, {1, 3, 3, 3, 27, 25, 105, 143, 233, 887, 1135, 3449, 5767, 11447, 10251, 34621, 102113}},
-{10640, 17, 41753, {1, 3, 3, 15, 3, 63, 85, 119, 103, 835, 443, 3861, 4957, 5389, 6137, 48851, 51887}},
-{10641, 17, 41766, {1, 3, 7, 9, 23, 23, 45, 129, 463, 653, 1309, 3533, 1303, 2955, 18023, 37457, 114765}},
-{10642, 17, 41783, {1, 3, 7, 1, 23, 17, 31, 151, 71, 515, 781, 1793, 3507, 6051, 30279, 29461, 48271}},
-{10643, 17, 41790, {1, 3, 5, 15, 1, 31, 9, 187, 131, 571, 1309, 965, 7561, 16113, 23209, 54615, 16969}},
-{10644, 17, 41810, {1, 3, 5, 11, 11, 9, 109, 161, 9, 697, 1683, 1245, 2223, 3571, 18117, 13085, 99315}},
-{10645, 17, 41819, {1, 3, 3, 1, 13, 21, 27, 17, 11, 11, 1095, 1447, 6941, 3399, 21245, 36661, 54283}},
-{10646, 17, 41825, {1, 3, 1, 3, 21, 51, 21, 197, 161, 689, 1219, 1337, 6623, 5765, 11579, 2679, 23889}},
-{10647, 17, 41828, {1, 1, 5, 11, 7, 31, 101, 25, 231, 719, 1677, 1545, 459, 14735, 25153, 65079, 15141}},
-{10648, 17, 41843, {1, 1, 7, 9, 17, 7, 49, 1, 83, 829, 815, 307, 3405, 15189, 23699, 50889, 70391}},
-{10649, 17, 41846, {1, 1, 3, 15, 21, 57, 97, 191, 415, 899, 197, 2635, 7507, 14009, 8633, 48997, 93925}},
-{10650, 17, 41862, {1, 3, 5, 15, 23, 13, 67, 127, 33, 551, 911, 3933, 2027, 10665, 19509, 18485, 76111}},
-{10651, 17, 41871, {1, 1, 5, 7, 23, 63, 19, 149, 139, 155, 1621, 3391, 2337, 2809, 21161, 38565, 401}},
-{10652, 17, 41874, {1, 1, 1, 7, 19, 23, 81, 49, 339, 879, 1903, 657, 2677, 2273, 10853, 3225, 57933}},
-{10653, 17, 41876, {1, 3, 5, 5, 13, 31, 19, 203, 269, 1015, 997, 2151, 4471, 11331, 5363, 46519, 51709}},
-{10654, 17, 41892, {1, 1, 5, 11, 29, 19, 17, 169, 511, 389, 1429, 2707, 1341, 10511, 6779, 43345, 68693}},
-{10655, 17, 41899, {1, 1, 5, 11, 19, 25, 29, 37, 423, 345, 953, 2525, 5937, 6595, 31389, 39347, 36343}},
-{10656, 17, 41916, {1, 3, 1, 3, 15, 25, 45, 95, 111, 207, 19, 1723, 4113, 421, 3297, 46771, 8639}},
-{10657, 17, 41928, {1, 1, 3, 9, 9, 47, 27, 99, 327, 393, 1547, 1587, 4463, 719, 14609, 24347, 68107}},
-{10658, 17, 41957, {1, 3, 7, 7, 29, 19, 57, 229, 131, 497, 109, 251, 6599, 8947, 10255, 12875, 83831}},
-{10659, 17, 41964, {1, 3, 3, 7, 17, 5, 17, 45, 423, 393, 1793, 3, 603, 15221, 13141, 40585, 37489}},
-{10660, 17, 41969, {1, 1, 1, 11, 5, 1, 53, 147, 129, 135, 1473, 17, 7539, 13513, 16045, 17375, 41261}},
-{10661, 17, 41981, {1, 3, 1, 5, 3, 15, 75, 57, 47, 581, 739, 3529, 4323, 10225, 27861, 14431, 106811}},
-{10662, 17, 41996, {1, 3, 3, 13, 23, 57, 41, 39, 217, 67, 595, 1381, 6281, 10125, 30605, 7935, 124219}},
-{10663, 17, 41999, {1, 1, 7, 15, 15, 45, 1, 135, 495, 271, 2023, 3267, 39, 15025, 32763, 39023, 20041}},
-{10664, 17, 42001, {1, 3, 7, 13, 23, 53, 75, 147, 187, 633, 1989, 1885, 6581, 12169, 13639, 19707, 96429}},
-{10665, 17, 42017, {1, 1, 5, 9, 13, 55, 13, 41, 305, 105, 1983, 273, 35, 5185, 22569, 54203, 31641}},
-{10666, 17, 42023, {1, 1, 3, 15, 21, 19, 59, 35, 165, 575, 1961, 1443, 4803, 2339, 28329, 47695, 21505}},
-{10667, 17, 42027, {1, 3, 1, 3, 23, 45, 95, 85, 55, 457, 1957, 1243, 4091, 14669, 13213, 53901, 122605}},
-{10668, 17, 42032, {1, 3, 7, 1, 13, 1, 61, 253, 195, 839, 181, 1153, 1391, 205, 6725, 1757, 86817}},
-{10669, 17, 42035, {1, 1, 3, 9, 7, 13, 115, 137, 169, 851, 299, 509, 6709, 6331, 51, 31833, 25217}},
-{10670, 17, 42044, {1, 1, 5, 15, 29, 23, 119, 15, 41, 585, 1713, 1203, 1653, 3287, 25333, 58873, 71853}},
-{10671, 17, 42050, {1, 3, 5, 15, 1, 45, 35, 79, 97, 381, 2027, 3795, 2127, 4775, 4579, 63267, 24719}},
-{10672, 17, 42061, {1, 1, 5, 7, 17, 21, 123, 75, 3, 887, 1537, 2017, 1623, 16315, 12535, 64281, 54925}},
-{10673, 17, 42062, {1, 1, 3, 13, 5, 23, 117, 43, 305, 365, 775, 1599, 5917, 13995, 6353, 3113, 106317}},
-{10674, 17, 42073, {1, 1, 3, 11, 21, 19, 9, 11, 129, 349, 579, 3523, 5259, 8083, 24513, 15077, 115377}},
-{10675, 17, 42098, {1, 1, 7, 9, 19, 31, 107, 3, 185, 821, 907, 2389, 7015, 3161, 13603, 35063, 60641}},
-{10676, 17, 42104, {1, 1, 3, 1, 19, 35, 105, 245, 363, 745, 1287, 4051, 5201, 7787, 20919, 26567, 37357}},
-{10677, 17, 42109, {1, 3, 1, 1, 23, 31, 1, 149, 61, 489, 371, 987, 3689, 14275, 8581, 48221, 44183}},
-{10678, 17, 42120, {1, 1, 5, 3, 9, 35, 51, 17, 439, 355, 461, 2129, 1567, 13261, 22347, 17013, 53857}},
-{10679, 17, 42125, {1, 3, 3, 15, 3, 33, 59, 185, 157, 933, 1489, 647, 4839, 12139, 3145, 57819, 11731}},
-{10680, 17, 42131, {1, 3, 5, 15, 17, 31, 59, 51, 117, 1001, 1585, 2861, 2785, 9579, 28013, 4481, 126723}},
-{10681, 17, 42143, {1, 3, 7, 13, 27, 1, 41, 119, 179, 879, 1617, 4053, 3537, 15389, 16381, 40153, 68019}},
-{10682, 17, 42153, {1, 1, 3, 13, 13, 35, 45, 203, 333, 337, 1415, 1889, 2361, 4207, 10411, 21013, 44009}},
-{10683, 17, 42176, {1, 3, 3, 5, 27, 9, 17, 85, 331, 369, 1219, 247, 1977, 12267, 1181, 18811, 54017}},
-{10684, 17, 42182, {1, 3, 5, 9, 21, 57, 57, 175, 283, 639, 1155, 1595, 8187, 9981, 21451, 7525, 52751}},
-{10685, 17, 42188, {1, 3, 1, 5, 27, 61, 95, 25, 271, 81, 1335, 2821, 7805, 10167, 13197, 58341, 62325}},
-{10686, 17, 42203, {1, 1, 7, 3, 15, 31, 75, 5, 211, 663, 551, 963, 6015, 11907, 17045, 22863, 32389}},
-{10687, 17, 42216, {1, 1, 7, 5, 21, 53, 67, 71, 251, 135, 1153, 2247, 2499, 15431, 21419, 46737, 2827}},
-{10688, 17, 42219, {1, 1, 5, 3, 31, 25, 39, 209, 437, 791, 1595, 637, 1581, 6575, 26407, 24043, 11277}},
-{10689, 17, 42227, {1, 3, 3, 5, 21, 15, 13, 19, 259, 949, 1237, 239, 5739, 4661, 3405, 55775, 58781}},
-{10690, 17, 42234, {1, 1, 3, 5, 1, 63, 5, 197, 329, 625, 981, 913, 3957, 2765, 8801, 56675, 129511}},
-{10691, 17, 42251, {1, 3, 3, 3, 29, 53, 65, 145, 435, 937, 787, 2043, 4945, 14585, 2789, 15771, 112335}},
-{10692, 17, 42254, {1, 3, 7, 13, 3, 23, 33, 141, 131, 375, 739, 711, 897, 469, 3635, 43335, 3069}},
-{10693, 17, 42256, {1, 1, 7, 11, 29, 13, 111, 149, 197, 793, 1541, 1879, 7683, 9397, 6873, 43733, 118507}},
-{10694, 17, 42259, {1, 3, 7, 7, 29, 21, 97, 113, 139, 573, 1099, 2615, 5123, 13021, 9533, 57673, 79283}},
-{10695, 17, 42282, {1, 3, 1, 5, 11, 9, 59, 89, 469, 797, 1119, 1037, 1667, 5947, 6051, 65045, 98275}},
-{10696, 17, 42289, {1, 3, 3, 9, 11, 7, 51, 191, 321, 677, 1601, 681, 3579, 14441, 26579, 18019, 43065}},
-{10697, 17, 42302, {1, 3, 5, 11, 7, 11, 79, 21, 335, 537, 801, 3553, 4311, 375, 7333, 64839, 88841}},
-{10698, 17, 42307, {1, 3, 1, 7, 5, 11, 15, 163, 69, 645, 57, 3685, 5143, 8275, 12763, 25035, 68949}},
-{10699, 17, 42310, {1, 1, 3, 13, 29, 33, 125, 179, 431, 129, 1367, 951, 5843, 13419, 13897, 17315, 58083}},
-{10700, 17, 42322, {1, 1, 3, 11, 31, 33, 3, 7, 185, 821, 231, 869, 6147, 15243, 32029, 20295, 60871}},
-{10701, 17, 42328, {1, 1, 1, 1, 31, 43, 21, 103, 275, 573, 805, 225, 2049, 8375, 32595, 53201, 126487}},
-{10702, 17, 42338, {1, 1, 1, 9, 31, 29, 7, 91, 277, 937, 1223, 2435, 4335, 7861, 9647, 13577, 30059}},
-{10703, 17, 42349, {1, 1, 1, 1, 23, 25, 69, 175, 293, 905, 765, 1527, 6655, 15431, 2511, 3147, 75431}},
-{10704, 17, 42367, {1, 3, 3, 3, 15, 53, 109, 195, 87, 557, 1277, 1471, 7401, 14127, 11479, 41505, 769}},
-{10705, 17, 42386, {1, 1, 5, 11, 23, 37, 121, 181, 199, 359, 1521, 2561, 3641, 7621, 14219, 6959, 77529}},
-{10706, 17, 42398, {1, 3, 1, 11, 5, 7, 69, 199, 501, 251, 707, 1485, 8125, 3209, 30883, 40259, 85087}},
-{10707, 17, 42404, {1, 3, 5, 13, 9, 35, 5, 133, 505, 39, 581, 1605, 6303, 1211, 27211, 55591, 31689}},
-{10708, 17, 42413, {1, 1, 5, 3, 17, 7, 11, 61, 483, 59, 1569, 2583, 759, 5759, 3575, 44547, 89783}},
-{10709, 17, 42419, {1, 1, 7, 15, 5, 27, 107, 5, 471, 421, 383, 3591, 3609, 13817, 633, 22043, 83119}},
-{10710, 17, 42421, {1, 1, 3, 7, 27, 55, 61, 249, 37, 241, 1483, 2839, 1231, 4765, 1551, 55801, 129679}},
-{10711, 17, 42422, {1, 1, 1, 3, 11, 1, 19, 207, 143, 351, 409, 721, 4597, 13389, 30297, 43253, 129923}},
-{10712, 17, 42431, {1, 3, 3, 7, 7, 53, 83, 27, 167, 163, 537, 3871, 2459, 12813, 30019, 41131, 56109}},
-{10713, 17, 42445, {1, 1, 5, 1, 23, 37, 11, 67, 161, 751, 123, 307, 3341, 12983, 21565, 58529, 94503}},
-{10714, 17, 42448, {1, 3, 3, 15, 11, 33, 39, 195, 467, 647, 1479, 1197, 7949, 6501, 18375, 15263, 21121}},
-{10715, 17, 42451, {1, 3, 5, 13, 3, 35, 9, 253, 299, 679, 69, 165, 2735, 14725, 4217, 16391, 107017}},
-{10716, 17, 42454, {1, 1, 1, 15, 3, 11, 87, 87, 391, 515, 843, 3957, 1365, 13201, 15983, 53647, 35643}},
-{10717, 17, 42458, {1, 1, 3, 7, 9, 53, 45, 221, 209, 855, 169, 2729, 1219, 5229, 14111, 28877, 114653}},
-{10718, 17, 42470, {1, 1, 5, 3, 11, 17, 5, 93, 303, 785, 1895, 2483, 7399, 14031, 1007, 2743, 47307}},
-{10719, 17, 42476, {1, 1, 7, 11, 9, 13, 115, 31, 223, 1011, 723, 1291, 5183, 559, 15881, 43045, 28131}},
-{10720, 17, 42500, {1, 3, 7, 11, 7, 59, 85, 111, 79, 227, 691, 1597, 2453, 10023, 19255, 47781, 88351}},
-{10721, 17, 42509, {1, 3, 3, 7, 21, 33, 39, 35, 253, 743, 563, 2455, 8015, 13403, 24883, 47881, 115559}},
-{10722, 17, 42538, {1, 3, 1, 1, 5, 33, 69, 37, 225, 157, 1347, 3241, 4981, 15985, 9949, 49189, 21267}},
-{10723, 17, 42543, {1, 1, 3, 11, 9, 33, 123, 133, 215, 297, 961, 1571, 1133, 1, 31871, 25253, 100097}},
-{10724, 17, 42545, {1, 1, 1, 7, 13, 29, 101, 127, 113, 785, 1257, 525, 7397, 13143, 30315, 5969, 37829}},
-{10725, 17, 42546, {1, 1, 1, 7, 29, 33, 17, 95, 439, 577, 1857, 423, 63, 15365, 4777, 59073, 7773}},
-{10726, 17, 42563, {1, 1, 5, 15, 3, 17, 89, 133, 217, 601, 1979, 391, 105, 13709, 10081, 37725, 40957}},
-{10727, 17, 42570, {1, 1, 1, 15, 25, 7, 85, 197, 155, 367, 1927, 2007, 2563, 13147, 2345, 28735, 88243}},
-{10728, 17, 42580, {1, 3, 5, 3, 5, 33, 87, 153, 153, 779, 825, 2163, 385, 11663, 2005, 51261, 25893}},
-{10729, 17, 42584, {1, 3, 5, 5, 23, 15, 19, 99, 71, 723, 523, 3683, 7773, 191, 17423, 30497, 129889}},
-{10730, 17, 42589, {1, 1, 7, 11, 1, 3, 49, 119, 39, 661, 297, 27, 1575, 12145, 18519, 57285, 50059}},
-{10731, 17, 42608, {1, 3, 7, 5, 7, 37, 75, 235, 403, 743, 603, 1689, 5031, 8871, 28241, 16917, 16947}},
-{10732, 17, 42618, {1, 1, 5, 13, 17, 41, 67, 219, 237, 365, 833, 3521, 3211, 1037, 5657, 34789, 119739}},
-{10733, 17, 42629, {1, 1, 5, 7, 3, 61, 89, 107, 335, 825, 803, 2445, 6861, 5421, 14585, 44037, 92711}},
-{10734, 17, 42636, {1, 3, 7, 3, 19, 25, 81, 51, 101, 477, 1653, 2841, 6597, 9261, 30609, 15681, 48897}},
-{10735, 17, 42639, {1, 1, 7, 11, 17, 1, 43, 39, 133, 513, 1839, 553, 6379, 4865, 28161, 7249, 80073}},
-{10736, 17, 42644, {1, 1, 5, 5, 13, 45, 19, 225, 399, 679, 195, 3613, 413, 2901, 26749, 39971, 31435}},
-{10737, 17, 42647, {1, 3, 7, 3, 23, 55, 57, 77, 447, 721, 677, 271, 6211, 12631, 5843, 35991, 82653}},
-{10738, 17, 42651, {1, 1, 1, 1, 3, 63, 23, 195, 1, 1019, 723, 3865, 5913, 5491, 5495, 27483, 73637}},
-{10739, 17, 42654, {1, 3, 1, 11, 17, 31, 27, 211, 411, 789, 1049, 2487, 2203, 6457, 7275, 4833, 14131}},
-{10740, 17, 42658, {1, 1, 5, 15, 15, 13, 65, 155, 127, 753, 1605, 1859, 2873, 9197, 1763, 11969, 82971}},
-{10741, 17, 42669, {1, 1, 3, 11, 11, 63, 13, 29, 31, 851, 251, 3231, 1227, 5513, 9785, 34659, 123811}},
-{10742, 17, 42678, {1, 3, 5, 1, 19, 57, 41, 205, 91, 39, 989, 1897, 4789, 16071, 6507, 29363, 75773}},
-{10743, 17, 42689, {1, 1, 1, 1, 5, 29, 113, 203, 53, 599, 1529, 1417, 7017, 9609, 4867, 17659, 80719}},
-{10744, 17, 42695, {1, 3, 7, 9, 27, 17, 77, 25, 461, 511, 781, 2977, 7601, 3551, 23615, 57669, 119723}},
-{10745, 17, 42696, {1, 3, 3, 9, 23, 43, 115, 21, 125, 237, 893, 1431, 7423, 3717, 4371, 36193, 30481}},
-{10746, 17, 42710, {1, 1, 5, 13, 3, 37, 13, 239, 267, 665, 205, 2745, 3865, 12167, 26689, 999, 9355}},
-{10747, 17, 42716, {1, 1, 1, 1, 31, 35, 55, 115, 387, 217, 657, 2827, 2963, 3687, 24271, 41701, 5911}},
-{10748, 17, 42730, {1, 1, 3, 3, 27, 57, 41, 183, 351, 841, 1327, 719, 7043, 12503, 17953, 60719, 98223}},
-{10749, 17, 42732, {1, 3, 1, 1, 27, 1, 119, 85, 197, 673, 1951, 2949, 4783, 561, 12807, 43355, 63397}},
-{10750, 17, 42747, {1, 1, 7, 7, 17, 63, 109, 87, 303, 439, 529, 685, 111, 8405, 21249, 33803, 77927}},
-{10751, 17, 42750, {1, 1, 7, 9, 11, 63, 27, 185, 445, 25, 1313, 3979, 4229, 8797, 10671, 33995, 84463}},
-{10752, 17, 42752, {1, 1, 1, 15, 27, 63, 67, 237, 39, 993, 851, 4075, 3417, 1077, 11939, 31737, 93897}},
-{10753, 17, 42761, {1, 1, 3, 5, 25, 9, 51, 241, 213, 661, 1135, 213, 7027, 5933, 24485, 65029, 8583}},
-{10754, 17, 42772, {1, 3, 5, 11, 31, 1, 17, 237, 107, 1021, 279, 181, 1741, 11099, 7871, 63231, 64445}},
-{10755, 17, 42776, {1, 3, 5, 9, 17, 21, 11, 45, 23, 409, 519, 1703, 5467, 9591, 13555, 23739, 73837}},
-{10756, 17, 42779, {1, 3, 3, 15, 3, 39, 11, 157, 273, 241, 413, 1723, 3179, 2125, 16859, 5231, 122969}},
-{10757, 17, 42797, {1, 3, 5, 11, 21, 27, 29, 243, 255, 1011, 1179, 3545, 3557, 8091, 31569, 10217, 108361}},
-{10758, 17, 42815, {1, 1, 5, 9, 25, 33, 29, 67, 395, 123, 1405, 3855, 7481, 5601, 21231, 17099, 13399}},
-{10759, 17, 42824, {1, 1, 5, 5, 13, 17, 111, 47, 77, 827, 577, 1767, 3367, 11719, 8801, 22431, 85451}},
-{10760, 17, 42837, {1, 3, 7, 11, 11, 31, 17, 141, 149, 293, 55, 3459, 19, 13709, 29135, 62765, 66455}},
-{10761, 17, 42844, {1, 1, 7, 15, 13, 19, 59, 211, 189, 773, 1791, 2089, 2857, 1635, 17777, 46585, 70115}},
-{10762, 17, 42868, {1, 1, 5, 11, 29, 29, 15, 7, 93, 733, 1605, 3731, 2381, 1063, 15565, 25081, 46651}},
-{10763, 17, 42877, {1, 3, 1, 9, 25, 5, 87, 113, 25, 93, 881, 1137, 3237, 10983, 14317, 25945, 121493}},
-{10764, 17, 42888, {1, 1, 5, 11, 29, 47, 99, 111, 165, 453, 259, 2001, 7715, 2609, 15633, 40273, 2065}},
-{10765, 17, 42891, {1, 1, 7, 13, 11, 29, 33, 255, 149, 361, 89, 2837, 49, 3033, 1917, 9029, 38123}},
-{10766, 17, 42912, {1, 1, 1, 7, 27, 31, 105, 61, 469, 497, 1919, 3005, 3651, 2143, 24359, 8053, 103647}},
-{10767, 17, 42918, {1, 1, 3, 13, 31, 63, 101, 47, 397, 89, 1915, 2385, 5399, 8897, 21001, 42997, 110333}},
-{10768, 17, 42921, {1, 3, 7, 5, 29, 1, 5, 119, 493, 349, 153, 1839, 283, 14343, 12975, 55597, 89467}},
-{10769, 17, 42927, {1, 3, 5, 3, 5, 51, 71, 227, 63, 799, 745, 1387, 2435, 1003, 27937, 43421, 12279}},
-{10770, 17, 42949, {1, 3, 3, 7, 7, 31, 37, 61, 11, 175, 581, 1583, 4737, 3087, 10335, 60683, 57085}},
-{10771, 17, 42953, {1, 3, 1, 1, 1, 63, 59, 47, 417, 35, 1673, 3277, 1873, 14981, 22463, 26835, 91115}},
-{10772, 17, 42967, {1, 1, 7, 5, 15, 23, 115, 13, 253, 583, 219, 1307, 1189, 9891, 641, 20841, 87133}},
-{10773, 17, 42974, {1, 1, 5, 11, 1, 3, 71, 235, 429, 335, 1649, 1775, 3077, 13723, 3209, 19807, 7283}},
-{10774, 17, 42989, {1, 1, 7, 1, 31, 49, 39, 141, 127, 63, 1561, 2559, 7661, 4825, 9419, 15327, 87145}},
-{10775, 17, 42995, {1, 1, 5, 3, 17, 33, 51, 219, 467, 151, 161, 3301, 7509, 2235, 30371, 64031, 62741}},
-{10776, 17, 42997, {1, 3, 1, 3, 23, 63, 43, 29, 399, 279, 271, 3537, 1863, 1811, 14917, 28247, 34807}},
-{10777, 17, 43007, {1, 1, 3, 5, 13, 29, 37, 151, 129, 19, 149, 2145, 5363, 6835, 19655, 1207, 74527}},
-{10778, 17, 43018, {1, 3, 5, 7, 27, 35, 63, 53, 247, 987, 1767, 483, 3489, 1711, 10763, 6981, 78251}},
-{10779, 17, 43025, {1, 1, 3, 1, 15, 47, 83, 147, 375, 539, 1623, 29, 4599, 7981, 23533, 64659, 48753}},
-{10780, 17, 43031, {1, 1, 1, 9, 21, 17, 85, 45, 167, 469, 1319, 2969, 1605, 1405, 9961, 28829, 125757}},
-{10781, 17, 43032, {1, 3, 1, 11, 3, 45, 43, 159, 301, 579, 1821, 701, 1149, 457, 16601, 49377, 99845}},
-{10782, 17, 43038, {1, 1, 7, 13, 11, 7, 37, 227, 345, 973, 1167, 1247, 5109, 10917, 3029, 60065, 127347}},
-{10783, 17, 43041, {1, 1, 3, 5, 3, 63, 95, 233, 495, 225, 1225, 3451, 7731, 14677, 10437, 1417, 33293}},
-{10784, 17, 43054, {1, 1, 7, 15, 1, 3, 3, 171, 201, 1009, 1481, 587, 7661, 10085, 4961, 46415, 28573}},
-{10785, 17, 43074, {1, 1, 5, 1, 3, 45, 67, 79, 463, 733, 2007, 2811, 2943, 14857, 23469, 14479, 97875}},
-{10786, 17, 43085, {1, 1, 1, 5, 19, 1, 29, 29, 447, 173, 1081, 153, 5343, 5707, 1357, 30169, 122527}},
-{10787, 17, 43097, {1, 1, 1, 5, 15, 57, 33, 129, 71, 717, 173, 3271, 4741, 13211, 28321, 56793, 119833}},
-{10788, 17, 43098, {1, 3, 3, 9, 9, 41, 47, 71, 103, 713, 725, 1335, 5261, 13835, 17619, 47429, 69815}},
-{10789, 17, 43110, {1, 3, 3, 15, 7, 3, 71, 25, 75, 967, 1037, 3585, 3407, 9979, 2195, 51087, 126535}},
-{10790, 17, 43119, {1, 3, 3, 11, 25, 7, 25, 249, 473, 339, 1211, 3503, 4343, 9707, 26127, 62061, 52479}},
-{10791, 17, 43131, {1, 1, 3, 3, 27, 9, 79, 197, 207, 845, 377, 3231, 5177, 899, 19497, 41187, 105897}},
-{10792, 17, 43143, {1, 3, 5, 15, 5, 27, 65, 151, 207, 677, 713, 2495, 681, 15341, 5389, 51965, 43761}},
-{10793, 17, 43144, {1, 3, 3, 11, 19, 11, 55, 189, 291, 183, 1345, 2677, 791, 2391, 25771, 55147, 24223}},
-{10794, 17, 43152, {1, 1, 3, 11, 31, 59, 29, 5, 275, 483, 1361, 1527, 3019, 245, 17667, 57905, 41329}},
-{10795, 17, 43157, {1, 3, 3, 9, 7, 19, 83, 71, 147, 999, 793, 3535, 1931, 12817, 2707, 45735, 31311}},
-{10796, 17, 43178, {1, 1, 5, 7, 5, 1, 117, 247, 127, 1011, 1441, 2449, 4095, 12239, 4743, 64781, 32621}},
-{10797, 17, 43180, {1, 3, 1, 11, 19, 57, 43, 39, 97, 485, 951, 989, 5975, 5219, 14421, 43681, 37305}},
-{10798, 17, 43192, {1, 1, 5, 15, 7, 49, 113, 161, 199, 545, 1113, 3821, 2019, 8747, 4085, 50823, 31955}},
-{10799, 17, 43197, {1, 3, 3, 3, 19, 41, 47, 191, 403, 25, 2043, 3489, 6263, 4843, 12961, 63791, 5027}},
-{10800, 17, 43203, {1, 1, 7, 1, 25, 55, 5, 51, 121, 273, 973, 3893, 1771, 9373, 21927, 29353, 95935}},
-{10801, 17, 43220, {1, 3, 3, 3, 27, 1, 97, 63, 445, 179, 481, 2995, 3123, 4687, 24359, 35973, 74535}},
-{10802, 17, 43236, {1, 1, 5, 1, 29, 23, 117, 183, 197, 819, 695, 641, 4155, 13593, 30965, 41407, 42433}},
-{10803, 17, 43245, {1, 3, 5, 1, 23, 53, 61, 253, 87, 487, 1995, 1281, 3367, 15047, 3493, 41711, 53407}},
-{10804, 17, 43246, {1, 1, 1, 9, 27, 49, 83, 21, 63, 181, 1661, 1649, 281, 12141, 25771, 35563, 42643}},
-{10805, 17, 43260, {1, 3, 5, 13, 15, 59, 121, 113, 379, 487, 1929, 3725, 2477, 6527, 8619, 64869, 57103}},
-{10806, 17, 43265, {1, 3, 1, 7, 27, 39, 69, 93, 193, 395, 433, 2091, 151, 6921, 11599, 36143, 41179}},
-{10807, 17, 43271, {1, 1, 7, 1, 31, 33, 73, 199, 57, 37, 1387, 3505, 7919, 3507, 2855, 8239, 84527}},
-{10808, 17, 43285, {1, 1, 7, 5, 15, 5, 119, 253, 263, 785, 1409, 1485, 3675, 5515, 13057, 30323, 98015}},
-{10809, 17, 43286, {1, 3, 1, 1, 11, 5, 57, 83, 365, 703, 1923, 1397, 1103, 4015, 13123, 47093, 113793}},
-{10810, 17, 43290, {1, 3, 3, 1, 5, 61, 29, 173, 189, 999, 897, 3389, 6745, 1487, 2349, 59105, 107407}},
-{10811, 17, 43299, {1, 1, 1, 1, 17, 51, 65, 1, 249, 863, 399, 3819, 2485, 12215, 12365, 58909, 25559}},
-{10812, 17, 43314, {1, 3, 7, 1, 31, 39, 43, 219, 51, 13, 779, 505, 2259, 14571, 9049, 21555, 11869}},
-{10813, 17, 43323, {1, 1, 7, 7, 13, 5, 97, 85, 111, 511, 587, 63, 2395, 8099, 26223, 757, 119821}},
-{10814, 17, 43337, {1, 3, 3, 5, 5, 19, 113, 35, 101, 41, 499, 1313, 6489, 6793, 31435, 45007, 95691}},
-{10815, 17, 43348, {1, 3, 5, 15, 19, 37, 103, 187, 347, 667, 1957, 1825, 7447, 12359, 21779, 52749, 18679}},
-{10816, 17, 43355, {1, 3, 5, 5, 17, 19, 19, 193, 435, 379, 439, 2093, 725, 2133, 15659, 54645, 59567}},
-{10817, 17, 43357, {1, 3, 7, 3, 23, 35, 33, 13, 23, 349, 231, 1635, 1625, 5039, 21299, 36413, 104681}},
-{10818, 17, 43358, {1, 1, 3, 13, 23, 49, 15, 253, 509, 9, 411, 2157, 3737, 11227, 6021, 42919, 100375}},
-{10819, 17, 43361, {1, 1, 7, 1, 17, 11, 33, 167, 219, 63, 137, 741, 4193, 16149, 9657, 50223, 85213}},
-{10820, 17, 43362, {1, 3, 7, 11, 23, 59, 113, 149, 427, 697, 1723, 255, 201, 10081, 1079, 323, 109091}},
-{10821, 17, 43364, {1, 3, 3, 15, 11, 9, 89, 39, 67, 249, 1939, 1737, 3719, 10515, 16517, 22345, 83959}},
-{10822, 17, 43368, {1, 3, 3, 13, 5, 33, 127, 9, 329, 429, 563, 1579, 4427, 8343, 22083, 5035, 124915}},
-{10823, 17, 43376, {1, 1, 1, 5, 15, 57, 121, 171, 315, 983, 743, 2015, 2421, 12431, 2561, 13331, 73163}},
-{10824, 17, 43385, {1, 1, 3, 9, 1, 39, 85, 159, 23, 979, 1467, 231, 4231, 3669, 16747, 24195, 46745}},
-{10825, 17, 43386, {1, 1, 3, 7, 3, 11, 65, 67, 85, 455, 365, 2279, 3471, 12771, 14443, 42773, 28723}},
-{10826, 17, 43391, {1, 3, 5, 1, 13, 9, 105, 237, 103, 59, 1301, 3125, 509, 12669, 3893, 9775, 81303}},
-{10827, 17, 43397, {1, 1, 3, 11, 19, 9, 125, 23, 191, 979, 533, 429, 3239, 15013, 13833, 40689, 102827}},
-{10828, 17, 43431, {1, 3, 3, 7, 15, 5, 83, 243, 467, 913, 1279, 3889, 8049, 8357, 5957, 39073, 93521}},
-{10829, 17, 43438, {1, 3, 3, 3, 19, 5, 123, 77, 289, 57, 2001, 807, 5257, 1671, 20273, 10183, 128439}},
-{10830, 17, 43440, {1, 1, 7, 13, 19, 45, 25, 47, 135, 929, 1353, 2731, 3351, 7637, 27037, 58835, 50285}},
-{10831, 17, 43452, {1, 3, 1, 1, 13, 55, 55, 197, 409, 93, 1351, 161, 1885, 5913, 27937, 49793, 84541}},
-{10832, 17, 43463, {1, 1, 3, 7, 29, 21, 113, 179, 203, 533, 1471, 2035, 447, 6781, 28729, 31099, 23027}},
-{10833, 17, 43470, {1, 1, 3, 11, 27, 3, 5, 209, 367, 945, 749, 3637, 2881, 8139, 27875, 34223, 97263}},
-{10834, 17, 43478, {1, 3, 5, 13, 25, 27, 35, 3, 13, 707, 303, 3663, 6617, 13501, 25537, 33077, 71485}},
-{10835, 17, 43481, {1, 1, 7, 15, 11, 29, 65, 47, 235, 635, 133, 153, 6175, 2961, 8171, 28641, 122589}},
-{10836, 17, 43488, {1, 1, 5, 15, 17, 41, 85, 147, 323, 673, 1629, 3477, 3341, 16373, 13901, 60961, 39451}},
-{10837, 17, 43491, {1, 3, 1, 15, 29, 15, 37, 109, 293, 863, 1835, 1173, 2263, 13815, 24995, 6989, 103417}},
-{10838, 17, 43506, {1, 3, 3, 15, 3, 31, 23, 47, 15, 717, 1457, 1067, 6229, 7051, 21771, 54815, 115827}},
-{10839, 17, 43512, {1, 1, 1, 13, 21, 3, 45, 239, 89, 603, 407, 781, 8095, 7389, 18035, 32229, 39867}},
-{10840, 17, 43539, {1, 1, 3, 7, 7, 59, 79, 51, 411, 917, 803, 2455, 2623, 12413, 23957, 44199, 67903}},
-{10841, 17, 43567, {1, 3, 1, 9, 17, 37, 117, 47, 101, 733, 1861, 1111, 6785, 13743, 24371, 49427, 54711}},
-{10842, 17, 43579, {1, 3, 1, 15, 27, 63, 107, 33, 351, 287, 1765, 1947, 6209, 8127, 30007, 18757, 31453}},
-{10843, 17, 43584, {1, 3, 5, 13, 11, 13, 29, 247, 7, 609, 1235, 1767, 5365, 12673, 10151, 51579, 106407}},
-{10844, 17, 43601, {1, 3, 7, 15, 5, 25, 81, 197, 51, 615, 1695, 259, 7983, 1403, 7903, 21441, 73263}},
-{10845, 17, 43614, {1, 1, 5, 1, 13, 61, 55, 175, 445, 3, 1957, 1171, 6823, 4285, 11847, 12789, 79787}},
-{10846, 17, 43617, {1, 1, 5, 15, 17, 51, 111, 201, 45, 97, 45, 2533, 1125, 3663, 13685, 45719, 51497}},
-{10847, 17, 43623, {1, 3, 3, 13, 29, 59, 111, 97, 381, 477, 1229, 3709, 5185, 7055, 32729, 32881, 25539}},
-{10848, 17, 43630, {1, 3, 1, 9, 1, 39, 57, 143, 189, 625, 1717, 1755, 3129, 807, 27975, 15511, 66123}},
-{10849, 17, 43647, {1, 3, 3, 1, 5, 41, 25, 27, 163, 397, 1595, 2325, 1803, 12439, 25743, 24509, 72613}},
-{10850, 17, 43658, {1, 1, 5, 13, 29, 41, 125, 113, 367, 709, 1911, 669, 831, 5375, 31145, 26197, 33543}},
-{10851, 17, 43663, {1, 1, 5, 1, 1, 5, 91, 199, 133, 273, 393, 1179, 717, 12791, 17693, 6905, 20433}},
-{10852, 17, 43665, {1, 1, 3, 15, 29, 35, 9, 127, 383, 673, 1821, 2765, 2425, 11789, 19741, 43189, 99557}},
-{10853, 17, 43691, {1, 1, 7, 13, 9, 19, 119, 103, 11, 983, 623, 391, 1609, 2333, 19843, 28269, 41237}},
-{10854, 17, 43701, {1, 3, 7, 5, 29, 3, 13, 213, 387, 361, 749, 669, 1625, 5687, 11369, 38119, 38389}},
-{10855, 17, 43705, {1, 3, 5, 13, 13, 51, 47, 33, 1, 979, 1817, 2633, 7181, 47, 3603, 49211, 4377}},
-{10856, 17, 43708, {1, 3, 1, 1, 11, 63, 5, 249, 13, 805, 1097, 1449, 5235, 16299, 25855, 30949, 3013}},
-{10857, 17, 43719, {1, 3, 7, 9, 29, 35, 89, 135, 475, 945, 999, 771, 6023, 13317, 32611, 43971, 10393}},
-{10858, 17, 43731, {1, 1, 1, 5, 23, 3, 37, 117, 95, 985, 1599, 2191, 3617, 5831, 31113, 10873, 112219}},
-{10859, 17, 43737, {1, 3, 5, 7, 11, 15, 55, 65, 239, 365, 1209, 3509, 8101, 8619, 24775, 65291, 50589}},
-{10860, 17, 43740, {1, 1, 7, 9, 21, 19, 123, 83, 317, 717, 433, 31, 2597, 14723, 28839, 7817, 126123}},
-{10861, 17, 43747, {1, 1, 7, 11, 3, 33, 99, 39, 227, 279, 353, 1921, 7883, 16187, 5157, 41121, 89425}},
-{10862, 17, 43749, {1, 3, 5, 9, 25, 7, 29, 165, 129, 77, 159, 923, 1357, 1159, 23537, 58087, 56443}},
-{10863, 17, 43750, {1, 1, 7, 3, 13, 51, 45, 161, 27, 41, 1295, 2937, 7223, 5271, 17927, 23311, 2543}},
-{10864, 17, 43754, {1, 1, 1, 1, 11, 53, 119, 165, 409, 785, 1649, 3587, 259, 10997, 3171, 31271, 104631}},
-{10865, 17, 43764, {1, 1, 5, 7, 5, 7, 49, 201, 373, 825, 1755, 3751, 8041, 8133, 21347, 12039, 3049}},
-{10866, 17, 43767, {1, 1, 1, 3, 7, 29, 103, 1, 473, 65, 761, 1611, 5121, 14345, 32535, 16679, 11321}},
-{10867, 17, 43768, {1, 3, 3, 11, 21, 57, 35, 63, 237, 415, 1943, 483, 5377, 14647, 23433, 45459, 32535}},
-{10868, 17, 43773, {1, 1, 1, 15, 21, 57, 7, 103, 493, 279, 665, 3699, 169, 7619, 3571, 11539, 31983}},
-{10869, 17, 43785, {1, 1, 1, 1, 9, 5, 81, 159, 105, 927, 379, 1133, 1805, 14341, 9833, 63151, 70877}},
-{10870, 17, 43788, {1, 1, 7, 5, 19, 5, 63, 127, 129, 43, 757, 2215, 3899, 643, 19731, 17345, 102611}},
-{10871, 17, 43810, {1, 3, 7, 7, 27, 21, 3, 69, 475, 283, 319, 833, 3683, 11275, 18191, 44027, 24901}},
-{10872, 17, 43819, {1, 1, 5, 5, 31, 25, 63, 33, 505, 765, 257, 1147, 779, 12505, 19971, 24695, 65935}},
-{10873, 17, 43834, {1, 1, 1, 15, 23, 33, 31, 107, 59, 639, 1307, 3211, 6171, 15665, 16775, 61671, 25569}},
-{10874, 17, 43853, {1, 3, 3, 9, 31, 3, 113, 199, 425, 895, 1051, 2125, 1525, 15199, 14845, 4213, 18449}},
-{10875, 17, 43866, {1, 3, 5, 3, 3, 11, 75, 121, 33, 265, 459, 3879, 909, 6533, 18451, 32421, 117427}},
-{10876, 17, 43871, {1, 1, 1, 9, 11, 9, 125, 175, 309, 847, 959, 2013, 1557, 9291, 2963, 43275, 9917}},
-{10877, 17, 43872, {1, 1, 5, 3, 15, 39, 67, 35, 373, 601, 463, 1263, 1615, 15059, 31011, 36059, 114493}},
-{10878, 17, 43881, {1, 1, 5, 15, 5, 43, 49, 239, 461, 171, 1863, 2249, 2923, 15897, 22941, 29925, 21429}},
-{10879, 17, 43889, {1, 1, 1, 15, 13, 31, 127, 205, 361, 149, 1641, 1443, 5959, 13183, 13861, 9533, 1011}},
-{10880, 17, 43902, {1, 1, 3, 13, 9, 49, 39, 67, 165, 695, 611, 2261, 3425, 6247, 23575, 51833, 106167}},
-{10881, 17, 43926, {1, 1, 7, 9, 29, 21, 75, 251, 87, 263, 2035, 1007, 3821, 12719, 8889, 47901, 39037}},
-{10882, 17, 43935, {1, 3, 1, 3, 15, 51, 79, 127, 201, 497, 1881, 3841, 1821, 14435, 4933, 6853, 104305}},
-{10883, 17, 43946, {1, 1, 5, 11, 23, 47, 33, 109, 481, 585, 333, 2525, 593, 1625, 5787, 23839, 30647}},
-{10884, 17, 43951, {1, 1, 5, 1, 17, 3, 7, 43, 113, 873, 1433, 3377, 45, 831, 17015, 21479, 7257}},
-{10885, 17, 43953, {1, 1, 1, 1, 13, 21, 59, 159, 279, 871, 53, 3647, 2599, 12417, 25807, 6867, 18251}},
-{10886, 17, 43971, {1, 1, 5, 9, 29, 61, 7, 81, 353, 761, 269, 4047, 3051, 8385, 2919, 18875, 15239}},
-{10887, 17, 44008, {1, 1, 7, 13, 31, 17, 71, 103, 107, 655, 1263, 849, 1809, 349, 3239, 45381, 117451}},
-{10888, 17, 44011, {1, 1, 5, 9, 27, 45, 83, 207, 117, 77, 437, 523, 851, 13595, 12381, 27271, 59951}},
-{10889, 17, 44026, {1, 3, 3, 15, 3, 33, 103, 217, 61, 443, 1077, 2887, 1751, 11111, 465, 37051, 89687}},
-{10890, 17, 44033, {1, 1, 1, 5, 15, 15, 13, 115, 275, 565, 1257, 1067, 6561, 8143, 2149, 53169, 123637}},
-{10891, 17, 44048, {1, 3, 3, 15, 27, 63, 25, 191, 143, 103, 1247, 1053, 2469, 9823, 4437, 18195, 91751}},
-{10892, 17, 44057, {1, 1, 7, 11, 1, 63, 31, 103, 249, 861, 983, 335, 35, 4291, 16307, 43669, 68065}},
-{10893, 17, 44058, {1, 3, 1, 15, 13, 29, 51, 145, 177, 851, 39, 3531, 4477, 4243, 3301, 64293, 15741}},
-{10894, 17, 44067, {1, 1, 7, 3, 29, 45, 5, 85, 185, 191, 1007, 3085, 2177, 14911, 18319, 265, 25435}},
-{10895, 17, 44081, {1, 1, 5, 9, 9, 57, 47, 143, 217, 947, 2021, 1835, 4773, 15145, 26519, 46407, 103667}},
-{10896, 17, 44087, {1, 3, 1, 11, 1, 7, 51, 75, 207, 757, 89, 1289, 39, 15641, 9477, 28503, 47113}},
-{10897, 17, 44099, {1, 3, 1, 11, 9, 19, 21, 197, 429, 121, 813, 3447, 6091, 3167, 5401, 27791, 26499}},
-{10898, 17, 44105, {1, 1, 7, 15, 1, 15, 85, 247, 3, 111, 433, 3103, 5049, 7929, 22645, 53247, 53417}},
-{10899, 17, 44106, {1, 1, 7, 7, 27, 19, 125, 101, 269, 7, 777, 1289, 1429, 11561, 18043, 3601, 125857}},
-{10900, 17, 44114, {1, 1, 1, 13, 11, 9, 127, 231, 239, 435, 1291, 4025, 1049, 15549, 7577, 51147, 38121}},
-{10901, 17, 44116, {1, 1, 7, 3, 9, 55, 57, 137, 387, 565, 873, 1417, 5993, 4849, 1731, 51653, 105697}},
-{10902, 17, 44130, {1, 1, 7, 9, 7, 47, 115, 119, 325, 881, 1687, 1009, 7007, 12541, 6737, 28471, 7369}},
-{10903, 17, 44139, {1, 3, 1, 1, 11, 47, 25, 163, 399, 977, 1777, 727, 5575, 1311, 23843, 2199, 93229}},
-{10904, 17, 44141, {1, 1, 7, 5, 13, 19, 53, 123, 439, 585, 1977, 3387, 5305, 1463, 14307, 9519, 537}},
-{10905, 17, 44153, {1, 1, 7, 15, 1, 53, 13, 213, 323, 699, 1585, 3499, 2441, 3055, 31263, 63923, 9779}},
-{10906, 17, 44159, {1, 1, 5, 5, 21, 43, 123, 43, 475, 521, 1301, 3185, 5627, 7443, 1195, 39485, 113125}},
-{10907, 17, 44160, {1, 1, 5, 7, 9, 3, 39, 5, 237, 719, 1743, 1153, 6401, 14701, 5503, 38491, 24123}},
-{10908, 17, 44170, {1, 3, 5, 9, 17, 33, 117, 23, 409, 63, 1829, 2587, 3489, 3209, 4775, 40069, 4721}},
-{10909, 17, 44172, {1, 3, 3, 5, 21, 63, 95, 231, 25, 167, 1181, 813, 4591, 5227, 21999, 19633, 37547}},
-{10910, 17, 44187, {1, 1, 7, 11, 13, 9, 13, 147, 239, 951, 1247, 1199, 7907, 12493, 25371, 1917, 107499}},
-{10911, 17, 44190, {1, 1, 5, 15, 3, 49, 31, 103, 189, 561, 1763, 3941, 3525, 3165, 7789, 57729, 92635}},
-{10912, 17, 44193, {1, 1, 1, 5, 3, 61, 107, 163, 465, 631, 1519, 169, 4469, 8153, 11039, 247, 37657}},
-{10913, 17, 44199, {1, 3, 1, 5, 9, 37, 51, 195, 465, 975, 169, 1077, 995, 2669, 7663, 28997, 25779}},
-{10914, 17, 44213, {1, 1, 7, 13, 7, 37, 3, 117, 147, 335, 629, 4077, 5855, 2893, 5629, 55075, 83359}},
-{10915, 17, 44218, {1, 1, 5, 9, 9, 25, 53, 63, 315, 287, 1833, 1397, 2395, 5719, 6719, 18003, 101073}},
-{10916, 17, 44223, {1, 1, 7, 1, 13, 19, 13, 81, 497, 399, 413, 2411, 3915, 14037, 19735, 4587, 69655}},
-{10917, 17, 44235, {1, 3, 1, 7, 5, 61, 101, 209, 299, 729, 1359, 4013, 2057, 8439, 8113, 57417, 8951}},
-{10918, 17, 44243, {1, 3, 5, 7, 29, 21, 67, 73, 107, 359, 1655, 3729, 4403, 10467, 28103, 10261, 74651}},
-{10919, 17, 44262, {1, 1, 1, 9, 3, 39, 25, 91, 287, 497, 1743, 339, 4739, 1709, 16351, 45385, 64693}},
-{10920, 17, 44283, {1, 3, 1, 1, 7, 13, 41, 93, 49, 285, 997, 891, 4353, 4249, 11269, 36935, 71249}},
-{10921, 17, 44291, {1, 3, 3, 13, 13, 23, 97, 231, 101, 93, 1183, 201, 6795, 16287, 30707, 20845, 105873}},
-{10922, 17, 44293, {1, 1, 1, 9, 7, 57, 123, 167, 451, 245, 1887, 1839, 2967, 2387, 15075, 11877, 629}},
-{10923, 17, 44308, {1, 3, 3, 1, 13, 13, 83, 41, 219, 313, 1743, 1265, 4435, 11731, 17625, 64235, 24865}},
-{10924, 17, 44327, {1, 3, 1, 9, 13, 17, 109, 235, 387, 581, 887, 1071, 603, 10955, 5001, 8419, 20997}},
-{10925, 17, 44341, {1, 3, 1, 5, 31, 55, 1, 219, 27, 623, 1425, 1309, 5409, 9633, 3231, 15029, 22989}},
-{10926, 17, 44346, {1, 3, 3, 13, 25, 47, 23, 223, 283, 189, 1665, 3743, 387, 1807, 16919, 8511, 15933}},
-{10927, 17, 44348, {1, 1, 1, 1, 13, 11, 81, 59, 423, 1007, 317, 2761, 2617, 9715, 24853, 63585, 77083}},
-{10928, 17, 44354, {1, 3, 1, 3, 3, 11, 103, 123, 401, 467, 1159, 2725, 3275, 15513, 2281, 21617, 87211}},
-{10929, 17, 44366, {1, 1, 5, 7, 23, 17, 25, 83, 11, 901, 809, 3233, 3929, 8685, 7609, 50949, 104841}},
-{10930, 17, 44368, {1, 3, 7, 1, 15, 33, 37, 245, 275, 453, 729, 721, 1589, 5417, 29839, 57315, 67227}},
-{10931, 17, 44373, {1, 3, 7, 3, 21, 17, 51, 213, 225, 471, 1201, 931, 1229, 9503, 5507, 4057, 7737}},
-{10932, 17, 44384, {1, 3, 1, 11, 29, 55, 19, 193, 9, 151, 597, 1377, 827, 8549, 1293, 10963, 86183}},
-{10933, 17, 44390, {1, 3, 3, 15, 17, 23, 89, 47, 195, 333, 2001, 1001, 6715, 9797, 21631, 5723, 88847}},
-{10934, 17, 44393, {1, 3, 5, 9, 21, 33, 111, 101, 503, 513, 785, 1947, 1139, 7921, 13189, 34831, 80963}},
-{10935, 17, 44394, {1, 3, 3, 13, 9, 61, 35, 39, 451, 485, 661, 1993, 4705, 9477, 32541, 16553, 33167}},
-{10936, 17, 44399, {1, 3, 3, 9, 29, 37, 115, 87, 367, 325, 539, 1975, 6769, 1453, 31099, 3335, 16939}},
-{10937, 17, 44401, {1, 1, 1, 7, 15, 21, 113, 203, 97, 847, 625, 847, 1819, 1109, 14503, 25319, 100259}},
-{10938, 17, 44408, {1, 1, 5, 11, 9, 13, 65, 21, 429, 865, 513, 2183, 3785, 11817, 6283, 23041, 7969}},
-{10939, 17, 44411, {1, 1, 5, 13, 1, 41, 109, 43, 91, 211, 1477, 3543, 5217, 3133, 12503, 15523, 12917}},
-{10940, 17, 44417, {1, 3, 7, 9, 23, 53, 109, 89, 229, 939, 1211, 2771, 541, 15915, 5411, 47273, 54453}},
-{10941, 17, 44420, {1, 1, 1, 3, 3, 45, 31, 63, 99, 347, 17, 523, 441, 12325, 15673, 1887, 15289}},
-{10942, 17, 44424, {1, 1, 1, 7, 29, 61, 35, 115, 345, 1011, 5, 595, 465, 3897, 28147, 791, 98757}},
-{10943, 17, 44444, {1, 1, 5, 9, 27, 1, 21, 155, 467, 469, 1565, 1439, 5809, 851, 32503, 3025, 97231}},
-{10944, 17, 44451, {1, 1, 1, 9, 3, 17, 15, 73, 487, 1011, 63, 2605, 6647, 9385, 4527, 21993, 19783}},
-{10945, 17, 44453, {1, 1, 3, 9, 17, 17, 65, 75, 175, 897, 1317, 2593, 1495, 15835, 12025, 57457, 29577}},
-{10946, 17, 44466, {1, 1, 1, 13, 7, 1, 13, 145, 491, 427, 375, 1235, 3045, 2991, 26607, 30581, 43377}},
-{10947, 17, 44472, {1, 1, 1, 1, 31, 1, 75, 235, 345, 75, 1505, 1401, 6921, 6207, 13729, 21545, 34703}},
-{10948, 17, 44475, {1, 3, 7, 9, 31, 35, 53, 233, 85, 385, 2045, 1401, 5365, 827, 13093, 41097, 97381}},
-{10949, 17, 44486, {1, 3, 7, 15, 5, 9, 19, 125, 49, 29, 1553, 675, 3947, 4775, 8161, 12321, 55191}},
-{10950, 17, 44500, {1, 3, 3, 7, 17, 17, 27, 237, 87, 927, 275, 1965, 4993, 1429, 31613, 38403, 119319}},
-{10951, 17, 44510, {1, 3, 7, 13, 25, 61, 87, 133, 37, 725, 697, 371, 7607, 13861, 8015, 63997, 25745}},
-{10952, 17, 44531, {1, 1, 5, 3, 1, 29, 115, 53, 355, 533, 1711, 3863, 6983, 4849, 15787, 38933, 100299}},
-{10953, 17, 44534, {1, 1, 3, 5, 7, 11, 95, 21, 363, 1005, 425, 3497, 841, 8251, 11933, 47783, 122699}},
-{10954, 17, 44553, {1, 1, 1, 11, 15, 41, 23, 159, 191, 433, 919, 3151, 5311, 2061, 11277, 4947, 10549}},
-{10955, 17, 44559, {1, 1, 5, 1, 29, 57, 23, 239, 179, 821, 1825, 1745, 4357, 4041, 27517, 8557, 86969}},
-{10956, 17, 44564, {1, 3, 1, 13, 3, 45, 91, 21, 221, 203, 683, 1787, 375, 4101, 13555, 43269, 8063}},
-{10957, 17, 44580, {1, 1, 5, 15, 17, 61, 95, 95, 285, 597, 1967, 4061, 389, 3813, 6061, 50261, 56035}},
-{10958, 17, 44583, {1, 1, 7, 9, 9, 35, 103, 255, 239, 77, 145, 4089, 757, 16151, 29963, 1229, 31895}},
-{10959, 17, 44589, {1, 1, 7, 7, 29, 51, 63, 105, 55, 609, 665, 2101, 4605, 7085, 18543, 64221, 102503}},
-{10960, 17, 44592, {1, 1, 3, 9, 23, 49, 83, 71, 191, 917, 39, 1013, 4689, 2407, 1733, 31113, 31263}},
-{10961, 17, 44609, {1, 1, 5, 11, 31, 51, 17, 223, 325, 829, 541, 3561, 5319, 15397, 12479, 57199, 38611}},
-{10962, 17, 44627, {1, 3, 1, 3, 19, 57, 19, 191, 427, 905, 1111, 695, 5447, 4061, 25543, 45699, 113283}},
-{10963, 17, 44633, {1, 1, 3, 7, 5, 11, 59, 249, 375, 889, 563, 2757, 5857, 3595, 23183, 1785, 105017}},
-{10964, 17, 44643, {1, 3, 5, 7, 11, 55, 95, 167, 27, 823, 903, 2403, 1137, 3209, 6313, 61871, 129865}},
-{10965, 17, 44646, {1, 1, 3, 11, 25, 3, 89, 171, 209, 409, 1357, 3825, 5261, 10805, 13493, 3303, 129987}},
-{10966, 17, 44650, {1, 1, 5, 1, 23, 21, 3, 207, 471, 375, 1785, 2555, 1613, 16235, 1585, 48221, 10197}},
-{10967, 17, 44674, {1, 1, 1, 15, 13, 33, 89, 185, 331, 239, 1401, 789, 2687, 15193, 20911, 18935, 28751}},
-{10968, 17, 44676, {1, 1, 1, 13, 27, 19, 111, 139, 385, 531, 1069, 2343, 7405, 10305, 7049, 48215, 77591}},
-{10969, 17, 44680, {1, 3, 7, 13, 23, 9, 113, 107, 441, 265, 1617, 63, 7629, 5505, 7059, 47307, 82527}},
-{10970, 17, 44683, {1, 3, 1, 9, 27, 27, 35, 233, 189, 517, 1285, 1843, 1569, 14921, 6617, 44337, 46917}},
-{10971, 17, 44703, {1, 1, 3, 15, 7, 15, 9, 255, 109, 629, 437, 3601, 6591, 10873, 1765, 46459, 110991}},
-{10972, 17, 44704, {1, 1, 5, 15, 17, 13, 115, 97, 401, 979, 1139, 2607, 6537, 5369, 17775, 7657, 57175}},
-{10973, 17, 44716, {1, 1, 5, 15, 27, 15, 43, 95, 271, 945, 1205, 3505, 7403, 13203, 27259, 24821, 62921}},
-{10974, 17, 44733, {1, 1, 7, 15, 9, 13, 53, 177, 93, 169, 1933, 1101, 4847, 15477, 22107, 13009, 93675}},
-{10975, 17, 44748, {1, 3, 1, 3, 13, 57, 121, 229, 353, 449, 769, 1207, 557, 5673, 13129, 29383, 35925}},
-{10976, 17, 44759, {1, 3, 3, 1, 31, 33, 5, 87, 461, 873, 795, 2715, 1421, 14723, 17917, 20681, 46103}},
-{10977, 17, 44763, {1, 1, 7, 3, 29, 5, 49, 215, 341, 25, 1473, 177, 1443, 14181, 26723, 49143, 73461}},
-{10978, 17, 44781, {1, 3, 1, 5, 17, 53, 5, 27, 1, 325, 1335, 2941, 7195, 8179, 26971, 63469, 49357}},
-{10979, 17, 44782, {1, 3, 5, 3, 3, 5, 29, 241, 119, 415, 1371, 3201, 2815, 15567, 32521, 18635, 2101}},
-{10980, 17, 44789, {1, 3, 1, 3, 7, 13, 127, 157, 271, 403, 187, 3663, 4073, 12613, 1305, 31061, 48361}},
-{10981, 17, 44794, {1, 1, 3, 5, 1, 39, 41, 201, 113, 923, 621, 497, 3823, 12543, 27273, 58509, 21613}},
-{10982, 17, 44799, {1, 1, 1, 11, 5, 51, 93, 39, 345, 175, 679, 617, 3445, 8591, 4017, 5147, 88847}},
-{10983, 17, 44804, {1, 1, 7, 7, 7, 9, 63, 7, 89, 711, 487, 69, 447, 3355, 31929, 34719, 93629}},
-{10984, 17, 44813, {1, 3, 1, 3, 27, 11, 51, 11, 471, 889, 1935, 2185, 1277, 3127, 8853, 17839, 40279}},
-{10985, 17, 44822, {1, 3, 3, 15, 25, 35, 71, 213, 121, 935, 1601, 537, 5753, 8743, 15243, 59545, 60399}},
-{10986, 17, 44838, {1, 1, 3, 15, 31, 41, 51, 205, 123, 215, 305, 3777, 4103, 7275, 21603, 56853, 54575}},
-{10987, 17, 44842, {1, 3, 7, 9, 17, 19, 37, 59, 193, 303, 1079, 3627, 6503, 14649, 10283, 64469, 83677}},
-{10988, 17, 44849, {1, 3, 1, 5, 11, 3, 115, 139, 213, 307, 721, 1611, 5093, 11817, 32503, 38559, 38449}},
-{10989, 17, 44856, {1, 3, 1, 1, 17, 31, 41, 113, 135, 733, 723, 2021, 7397, 15917, 15741, 7295, 69885}},
-{10990, 17, 44870, {1, 1, 7, 11, 31, 3, 125, 77, 89, 793, 1441, 1527, 457, 9457, 13581, 62979, 125279}},
-{10991, 17, 44887, {1, 1, 1, 5, 9, 17, 19, 115, 43, 395, 183, 2091, 7021, 7555, 20165, 45165, 58925}},
-{10992, 17, 44904, {1, 1, 1, 15, 23, 37, 97, 45, 357, 201, 425, 3605, 5305, 10079, 16397, 40635, 15355}},
-{10993, 17, 44915, {1, 1, 3, 7, 3, 43, 65, 89, 51, 801, 917, 2835, 5675, 2347, 16587, 19701, 68655}},
-{10994, 17, 44917, {1, 3, 7, 13, 11, 59, 93, 155, 53, 435, 165, 3231, 429, 12757, 27033, 14081, 12625}},
-{10995, 17, 44921, {1, 3, 1, 15, 15, 33, 121, 157, 271, 295, 901, 1689, 709, 13395, 17773, 14397, 37743}},
-{10996, 17, 44928, {1, 1, 1, 3, 7, 17, 125, 113, 223, 603, 425, 3213, 2781, 2921, 15181, 18649, 93493}},
-{10997, 17, 44933, {1, 3, 3, 5, 1, 25, 3, 101, 151, 435, 1339, 1207, 7687, 12579, 29331, 4653, 67353}},
-{10998, 17, 44934, {1, 1, 7, 1, 29, 53, 101, 61, 31, 633, 1899, 3919, 1879, 3143, 25319, 45809, 77425}},
-{10999, 17, 44937, {1, 1, 5, 1, 17, 31, 79, 247, 77, 197, 1693, 313, 2183, 14343, 4511, 26009, 44943}},
-{11000, 17, 44940, {1, 1, 7, 5, 31, 29, 119, 251, 345, 867, 271, 165, 6425, 8343, 11251, 28125, 34849}},
-{11001, 17, 44951, {1, 3, 1, 1, 13, 35, 9, 103, 365, 675, 1653, 4095, 3123, 8245, 4679, 18951, 88543}},
-{11002, 17, 44961, {1, 1, 1, 1, 23, 29, 109, 157, 253, 751, 145, 2077, 4555, 7523, 30099, 37709, 97369}},
-{11003, 17, 44962, {1, 3, 3, 11, 5, 1, 51, 11, 203, 963, 1961, 351, 6697, 8137, 25933, 53505, 28531}},
-{11004, 17, 44971, {1, 1, 7, 15, 27, 1, 31, 159, 447, 501, 1873, 2845, 875, 1671, 5049, 38901, 32559}},
-{11005, 17, 44982, {1, 1, 3, 3, 29, 19, 33, 83, 71, 703, 1861, 3683, 3589, 15339, 21075, 40399, 47853}},
-{11006, 17, 44985, {1, 3, 3, 7, 5, 41, 61, 181, 319, 77, 777, 2537, 3887, 2687, 29227, 55217, 55813}},
-{11007, 17, 44996, {1, 3, 3, 1, 25, 41, 23, 31, 31, 775, 693, 891, 861, 7613, 9557, 43275, 36311}},
-{11008, 17, 44999, {1, 1, 7, 13, 11, 5, 99, 217, 81, 441, 765, 3981, 2921, 9657, 6905, 30657, 18395}},
-{11009, 17, 45014, {1, 3, 1, 11, 21, 55, 25, 209, 13, 1021, 1373, 785, 3243, 1541, 12033, 17309, 116517}},
-{11010, 17, 45029, {1, 1, 1, 7, 3, 3, 61, 113, 453, 405, 1321, 2327, 3529, 12779, 11707, 55795, 105137}},
-{11011, 17, 45033, {1, 3, 1, 13, 15, 53, 17, 189, 197, 459, 1999, 935, 7835, 9563, 31231, 47757, 80807}},
-{11012, 17, 45036, {1, 3, 5, 13, 11, 15, 91, 115, 427, 723, 1815, 3527, 5917, 4931, 28297, 12257, 5587}},
-{11013, 17, 45047, {1, 1, 5, 9, 31, 5, 77, 201, 373, 143, 581, 1199, 6807, 6059, 3133, 57069, 4895}},
-{11014, 17, 45065, {1, 3, 1, 9, 17, 13, 127, 61, 235, 991, 279, 1545, 2875, 8453, 13329, 39763, 66897}},
-{11015, 17, 45076, {1, 1, 3, 15, 31, 51, 3, 95, 221, 685, 635, 1747, 177, 9781, 4859, 45345, 37607}},
-{11016, 17, 45085, {1, 3, 5, 1, 3, 55, 63, 51, 63, 707, 883, 2985, 3699, 3881, 8159, 41775, 41411}},
-{11017, 17, 45086, {1, 1, 1, 11, 3, 41, 69, 181, 413, 33, 525, 1883, 6063, 13787, 1259, 19497, 8119}},
-{11018, 17, 45090, {1, 1, 5, 15, 13, 27, 65, 63, 117, 831, 855, 369, 1005, 9069, 16179, 32027, 6527}},
-{11019, 17, 45107, {1, 3, 7, 5, 25, 51, 63, 163, 101, 299, 1637, 641, 2077, 9195, 11181, 59783, 109481}},
-{11020, 17, 45119, {1, 3, 5, 13, 27, 13, 117, 253, 257, 919, 709, 411, 5525, 1247, 19951, 51423, 34605}},
-{11021, 17, 45121, {1, 1, 5, 5, 1, 37, 49, 125, 87, 291, 339, 3235, 1477, 9787, 19637, 22855, 103013}},
-{11022, 17, 45128, {1, 3, 7, 15, 25, 17, 77, 23, 303, 739, 1921, 1425, 6451, 9521, 6311, 38551, 123683}},
-{11023, 17, 45139, {1, 3, 1, 7, 13, 19, 33, 73, 347, 85, 1693, 3671, 713, 1191, 3285, 6815, 61833}},
-{11024, 17, 45151, {1, 1, 3, 3, 13, 53, 81, 177, 305, 967, 551, 1177, 2315, 4899, 5733, 11147, 128895}},
-{11025, 17, 45157, {1, 3, 5, 3, 17, 17, 93, 173, 417, 645, 1631, 1817, 6127, 3545, 6127, 22331, 59751}},
-{11026, 17, 45162, {1, 1, 5, 11, 7, 53, 61, 117, 133, 141, 283, 3351, 6745, 599, 7221, 50583, 9067}},
-{11027, 17, 45164, {1, 3, 7, 3, 29, 45, 71, 177, 97, 897, 589, 3319, 1821, 7207, 25715, 13043, 96695}},
-{11028, 17, 45176, {1, 3, 3, 1, 13, 39, 19, 49, 419, 905, 1063, 4023, 145, 1479, 22197, 43883, 45503}},
-{11029, 17, 45179, {1, 3, 3, 15, 9, 45, 45, 201, 61, 193, 375, 2439, 2339, 15981, 5197, 6285, 109389}},
-{11030, 17, 45198, {1, 1, 7, 13, 29, 51, 93, 223, 509, 1003, 1861, 3715, 2511, 13843, 25297, 1241, 12157}},
-{11031, 17, 45209, {1, 3, 5, 15, 19, 17, 95, 243, 251, 485, 1837, 1829, 2081, 15117, 29635, 63861, 100397}},
-{11032, 17, 45231, {1, 1, 7, 3, 1, 37, 31, 53, 483, 849, 1197, 3069, 2539, 2529, 12749, 64331, 45757}},
-{11033, 17, 45234, {1, 3, 7, 7, 1, 19, 25, 243, 335, 99, 1507, 2155, 6085, 2253, 32439, 16141, 6781}},
-{11034, 17, 45236, {1, 3, 7, 15, 9, 13, 35, 63, 371, 373, 1891, 3913, 4577, 15553, 13079, 60251, 71193}},
-{11035, 17, 45251, {1, 3, 1, 7, 15, 13, 105, 113, 409, 289, 57, 1095, 791, 15675, 21471, 42851, 29203}},
-{11036, 17, 45260, {1, 1, 1, 13, 1, 57, 65, 7, 153, 929, 1325, 229, 3841, 8967, 29889, 49427, 46853}},
-{11037, 17, 45268, {1, 1, 3, 11, 29, 1, 79, 111, 479, 931, 1619, 505, 4503, 4055, 18849, 3979, 46091}},
-{11038, 17, 45277, {1, 1, 7, 3, 31, 27, 127, 63, 219, 43, 883, 1265, 5733, 9051, 17059, 61625, 93843}},
-{11039, 17, 45299, {1, 1, 7, 7, 23, 21, 35, 211, 243, 399, 1225, 1415, 5923, 2143, 25303, 36171, 126349}},
-{11040, 17, 45301, {1, 3, 1, 3, 3, 13, 77, 205, 271, 393, 769, 2101, 4045, 6159, 3409, 44065, 102799}},
-{11041, 17, 45338, {1, 1, 5, 15, 19, 1, 67, 199, 367, 51, 495, 2051, 3195, 15239, 10525, 45319, 50489}},
-{11042, 17, 45344, {1, 1, 1, 9, 3, 19, 105, 147, 417, 399, 373, 1025, 2727, 13779, 30079, 22723, 41551}},
-{11043, 17, 45349, {1, 1, 3, 1, 9, 15, 105, 95, 267, 995, 275, 2627, 3883, 10785, 8075, 40591, 54647}},
-{11044, 17, 45364, {1, 1, 1, 5, 31, 37, 117, 185, 55, 273, 525, 445, 4221, 2081, 16017, 19859, 3297}},
-{11045, 17, 45367, {1, 3, 5, 13, 21, 13, 105, 231, 461, 831, 393, 3253, 1213, 2625, 3393, 36715, 104889}},
-{11046, 17, 45371, {1, 3, 5, 15, 1, 17, 103, 129, 257, 1003, 285, 2927, 3967, 53, 5197, 39665, 50751}},
-{11047, 17, 45373, {1, 1, 1, 13, 1, 61, 47, 255, 137, 849, 213, 301, 681, 9547, 28209, 32941, 72109}},
-{11048, 17, 45376, {1, 1, 7, 11, 31, 15, 81, 117, 327, 289, 1861, 861, 6189, 13425, 18279, 7635, 116969}},
-{11049, 17, 45381, {1, 3, 3, 3, 9, 11, 13, 181, 183, 621, 329, 2751, 3989, 6345, 20319, 52267, 79695}},
-{11050, 17, 45400, {1, 1, 7, 13, 9, 1, 5, 125, 1, 735, 691, 13, 3961, 2273, 18299, 65221, 20115}},
-{11051, 17, 45406, {1, 3, 7, 1, 7, 3, 87, 115, 241, 101, 523, 3019, 7571, 7721, 27409, 49751, 97859}},
-{11052, 17, 45416, {1, 3, 5, 11, 9, 5, 33, 59, 299, 191, 307, 2115, 2823, 10187, 10437, 34137, 93217}},
-{11053, 17, 45422, {1, 3, 3, 7, 21, 31, 5, 113, 77, 215, 177, 2029, 7241, 4465, 31489, 10165, 19035}},
-{11054, 17, 45427, {1, 3, 5, 1, 27, 63, 11, 161, 435, 941, 1593, 1765, 1519, 9111, 12787, 35961, 105263}},
-{11055, 17, 45440, {1, 1, 1, 9, 11, 57, 41, 229, 387, 617, 1991, 221, 2857, 4337, 13851, 23185, 111031}},
-{11056, 17, 45458, {1, 1, 3, 5, 21, 27, 125, 83, 129, 919, 65, 403, 2981, 10111, 17017, 24829, 12205}},
-{11057, 17, 45467, {1, 3, 3, 9, 25, 19, 109, 47, 199, 395, 1909, 2819, 5361, 6629, 7067, 18755, 17921}},
-{11058, 17, 45474, {1, 1, 3, 15, 25, 37, 111, 129, 409, 291, 1403, 2785, 3819, 10245, 24647, 64799, 64951}},
-{11059, 17, 45476, {1, 3, 5, 11, 1, 7, 105, 223, 427, 661, 1817, 1023, 145, 927, 6507, 13235, 30147}},
-{11060, 17, 45488, {1, 3, 5, 13, 7, 15, 65, 125, 121, 113, 923, 2729, 1397, 14247, 8487, 54907, 41921}},
-{11061, 17, 45494, {1, 1, 5, 1, 13, 15, 47, 111, 453, 375, 1705, 1539, 4103, 601, 7499, 33287, 123689}},
-{11062, 17, 45497, {1, 1, 5, 3, 21, 11, 87, 115, 483, 617, 1593, 2817, 6519, 16203, 361, 34415, 100829}},
-{11063, 17, 45500, {1, 3, 7, 15, 23, 25, 41, 193, 473, 517, 1195, 3627, 1089, 13391, 3653, 25637, 5643}},
-{11064, 17, 45512, {1, 3, 1, 1, 13, 57, 29, 175, 35, 107, 5, 3641, 1843, 1507, 7591, 39967, 66859}},
-{11065, 17, 45515, {1, 1, 3, 13, 1, 39, 31, 11, 493, 123, 523, 843, 133, 7971, 14131, 51927, 97943}},
-{11066, 17, 45523, {1, 1, 3, 7, 23, 45, 5, 195, 195, 683, 497, 1215, 5855, 14569, 20441, 29541, 30431}},
-{11067, 17, 45542, {1, 3, 1, 11, 31, 39, 127, 187, 187, 17, 817, 907, 4657, 8223, 13305, 36489, 28909}},
-{11068, 17, 45553, {1, 1, 7, 13, 9, 1, 59, 27, 449, 887, 39, 191, 803, 2339, 5213, 2611, 93175}},
-{11069, 17, 45559, {1, 1, 1, 1, 29, 17, 105, 13, 175, 401, 1145, 297, 6873, 889, 10301, 48993, 49959}},
-{11070, 17, 45589, {1, 3, 5, 5, 1, 57, 81, 81, 403, 719, 1887, 2597, 1069, 5219, 29767, 46905, 8025}},
-{11071, 17, 45594, {1, 1, 5, 11, 13, 37, 41, 3, 487, 895, 343, 1729, 3777, 8681, 24737, 34179, 15015}},
-{11072, 17, 45596, {1, 1, 1, 15, 9, 43, 67, 203, 71, 399, 23, 529, 2375, 15373, 21013, 17389, 93809}},
-{11073, 17, 45603, {1, 3, 7, 7, 9, 23, 81, 27, 39, 529, 631, 199, 3555, 953, 4249, 39297, 88107}},
-{11074, 17, 45605, {1, 3, 1, 3, 31, 45, 33, 63, 319, 245, 1567, 3359, 2051, 11523, 30177, 20293, 13245}},
-{11075, 17, 45610, {1, 1, 1, 13, 9, 61, 39, 127, 453, 1019, 2037, 3541, 6983, 10717, 19587, 8981, 99637}},
-{11076, 17, 45630, {1, 3, 5, 9, 15, 7, 55, 79, 93, 303, 1423, 499, 5499, 795, 14553, 16945, 46161}},
-{11077, 17, 45638, {1, 1, 7, 5, 21, 21, 27, 201, 147, 461, 363, 267, 2963, 3409, 17835, 40777, 71879}},
-{11078, 17, 45641, {1, 1, 7, 9, 23, 63, 115, 243, 103, 119, 2023, 2223, 7989, 1365, 26181, 4631, 88001}},
-{11079, 17, 45647, {1, 3, 5, 5, 27, 57, 101, 199, 461, 853, 449, 2733, 2225, 8609, 19461, 15265, 54079}},
-{11080, 17, 45655, {1, 3, 3, 15, 29, 59, 115, 105, 145, 391, 303, 901, 5481, 1491, 30441, 22331, 3841}},
-{11081, 17, 45659, {1, 1, 3, 1, 27, 45, 11, 167, 73, 181, 253, 1947, 1731, 15269, 16971, 12299, 46439}},
-{11082, 17, 45665, {1, 1, 7, 13, 11, 21, 83, 157, 75, 705, 1709, 487, 5029, 9879, 27589, 21601, 50575}},
-{11083, 17, 45689, {1, 1, 5, 3, 27, 37, 101, 163, 115, 903, 1137, 3807, 2899, 3407, 27935, 14203, 31009}},
-{11084, 17, 45695, {1, 3, 5, 9, 31, 33, 63, 69, 159, 737, 1973, 3661, 6159, 1781, 9239, 12989, 82947}},
-{11085, 17, 45702, {1, 3, 5, 9, 15, 33, 41, 89, 183, 933, 1305, 1013, 7245, 16225, 10891, 6641, 61699}},
-{11086, 17, 45708, {1, 1, 5, 3, 25, 41, 91, 183, 45, 553, 1817, 3305, 5169, 9051, 24917, 52431, 52505}},
-{11087, 17, 45726, {1, 3, 3, 9, 3, 9, 127, 59, 117, 1001, 1255, 3435, 3797, 8507, 28593, 24119, 75569}},
-{11088, 17, 45729, {1, 3, 1, 5, 17, 43, 45, 21, 461, 339, 1127, 2213, 7351, 14585, 2001, 32619, 33825}},
-{11089, 17, 45739, {1, 1, 5, 11, 3, 37, 61, 83, 101, 707, 861, 3037, 1867, 7747, 16313, 58745, 14387}},
-{11090, 17, 45744, {1, 1, 5, 3, 27, 25, 99, 17, 293, 867, 1655, 2301, 2007, 7379, 14487, 18233, 3625}},
-{11091, 17, 45747, {1, 1, 7, 13, 25, 29, 21, 133, 207, 119, 423, 1561, 6587, 1221, 27295, 48141, 125473}},
-{11092, 17, 45762, {1, 3, 3, 1, 19, 45, 39, 85, 127, 249, 157, 1307, 7343, 6309, 31073, 16909, 93223}},
-{11093, 17, 45764, {1, 1, 5, 13, 19, 43, 111, 109, 385, 847, 1071, 1009, 2783, 8471, 5719, 50459, 110507}},
-{11094, 17, 45773, {1, 1, 5, 15, 1, 45, 39, 197, 209, 839, 485, 3943, 5939, 11835, 18297, 61217, 85015}},
-{11095, 17, 45774, {1, 1, 1, 15, 5, 61, 1, 195, 415, 355, 1593, 151, 8143, 3527, 11633, 44337, 99749}},
-{11096, 17, 45781, {1, 1, 5, 13, 11, 11, 117, 109, 91, 663, 1351, 2361, 1409, 9317, 31133, 17577, 123919}},
-{11097, 17, 45785, {1, 3, 3, 9, 3, 5, 115, 173, 459, 937, 1581, 781, 1069, 573, 24025, 30721, 116837}},
-{11098, 17, 45792, {1, 1, 1, 5, 21, 37, 47, 51, 21, 169, 119, 3285, 2543, 14023, 29179, 13407, 130491}},
-{11099, 17, 45801, {1, 3, 5, 5, 25, 27, 41, 147, 485, 79, 737, 699, 6763, 16347, 9265, 52129, 41431}},
-{11100, 17, 45802, {1, 1, 1, 3, 5, 33, 115, 187, 311, 717, 1897, 2215, 2639, 4167, 1429, 26359, 52703}},
-{11101, 17, 45812, {1, 3, 5, 5, 13, 51, 103, 5, 47, 683, 319, 2969, 7701, 11031, 9257, 16725, 80825}},
-{11102, 17, 45816, {1, 3, 1, 11, 31, 47, 17, 205, 11, 411, 523, 4053, 6743, 3095, 3219, 63163, 84547}},
-{11103, 17, 45829, {1, 1, 7, 15, 9, 55, 109, 225, 273, 595, 1697, 2059, 21, 11319, 23277, 60613, 4539}},
-{11104, 17, 45833, {1, 1, 5, 13, 3, 59, 49, 239, 509, 847, 975, 3361, 5443, 1941, 29277, 56379, 38997}},
-{11105, 17, 45847, {1, 3, 1, 7, 15, 5, 49, 19, 235, 437, 1309, 827, 4123, 5839, 22409, 42535, 98041}},
-{11106, 17, 45851, {1, 1, 5, 15, 9, 33, 57, 153, 165, 215, 177, 1271, 1861, 15489, 4183, 43701, 114169}},
-{11107, 17, 45854, {1, 3, 5, 5, 13, 3, 119, 89, 17, 421, 1205, 835, 4917, 6113, 28991, 26839, 114871}},
-{11108, 17, 45863, {1, 3, 5, 1, 7, 49, 49, 159, 205, 601, 1939, 4063, 5975, 11747, 10329, 21103, 16779}},
-{11109, 17, 45870, {1, 1, 5, 15, 13, 33, 89, 21, 113, 639, 891, 989, 829, 1435, 11475, 42711, 67049}},
-{11110, 17, 45901, {1, 1, 5, 5, 9, 59, 57, 105, 385, 733, 1175, 329, 6809, 7175, 27267, 9941, 14203}},
-{11111, 17, 45910, {1, 3, 1, 13, 21, 53, 83, 139, 287, 659, 1991, 3225, 4153, 4325, 16803, 27719, 86263}},
-{11112, 17, 45920, {1, 3, 5, 13, 27, 21, 111, 105, 29, 573, 405, 2781, 1737, 12057, 25263, 16903, 45389}},
-{11113, 17, 45932, {1, 1, 5, 5, 23, 23, 61, 27, 335, 279, 937, 2509, 4751, 2993, 28069, 30187, 3595}},
-{11114, 17, 45938, {1, 1, 5, 7, 29, 37, 117, 71, 221, 875, 1987, 2329, 5953, 15901, 29813, 17419, 4745}},
-{11115, 17, 45940, {1, 3, 3, 13, 21, 51, 77, 85, 53, 573, 1129, 3415, 2283, 5221, 29991, 46091, 65843}},
-{11116, 17, 45943, {1, 1, 1, 3, 17, 51, 89, 211, 463, 743, 1189, 4083, 1437, 5219, 8373, 15559, 18557}},
-{11117, 17, 45949, {1, 1, 5, 3, 29, 27, 1, 207, 285, 739, 505, 1587, 6565, 14195, 4995, 39453, 61023}},
-{11118, 17, 45953, {1, 3, 3, 15, 7, 57, 19, 45, 39, 881, 1207, 2829, 3265, 2637, 7843, 62889, 53289}},
-{11119, 17, 45963, {1, 1, 1, 11, 31, 21, 73, 245, 87, 457, 1523, 2397, 1157, 8237, 26195, 23149, 106523}},
-{11120, 17, 45971, {1, 3, 5, 13, 3, 55, 3, 179, 107, 85, 639, 2711, 6359, 1599, 2325, 59573, 111941}},
-{11121, 17, 45989, {1, 1, 1, 13, 17, 61, 45, 253, 45, 149, 1251, 139, 7113, 6503, 27675, 37301, 21713}},
-{11122, 17, 45999, {1, 3, 5, 9, 31, 31, 67, 79, 355, 225, 1187, 761, 4927, 5481, 9139, 13399, 35653}},
-{11123, 17, 46001, {1, 1, 5, 3, 7, 3, 95, 119, 161, 529, 1443, 1099, 609, 3919, 10935, 37779, 92993}},
-{11124, 17, 46008, {1, 1, 7, 9, 13, 21, 13, 7, 165, 173, 989, 2315, 2305, 13115, 6933, 56233, 112113}},
-{11125, 17, 46022, {1, 1, 7, 3, 9, 11, 25, 45, 493, 119, 839, 3907, 2273, 14113, 29453, 55181, 667}},
-{11126, 17, 46026, {1, 3, 5, 15, 25, 33, 15, 23, 245, 517, 1883, 2865, 1483, 7043, 32615, 12261, 49297}},
-{11127, 17, 46034, {1, 3, 7, 9, 31, 35, 89, 103, 245, 441, 1709, 1321, 3743, 3767, 23885, 43587, 18017}},
-{11128, 17, 46040, {1, 3, 7, 5, 23, 43, 103, 7, 47, 187, 1257, 3517, 591, 16263, 12047, 16699, 81633}},
-{11129, 17, 46043, {1, 1, 5, 15, 5, 5, 79, 11, 327, 719, 37, 2913, 6107, 3463, 25901, 6125, 100647}},
-{11130, 17, 46045, {1, 1, 1, 11, 13, 29, 83, 251, 41, 125, 1137, 2627, 4643, 29, 24631, 51435, 98643}},
-{11131, 17, 46061, {1, 1, 7, 3, 27, 3, 69, 245, 365, 599, 1575, 2969, 3441, 12327, 18951, 56167, 13861}},
-{11132, 17, 46062, {1, 3, 3, 11, 5, 47, 103, 233, 351, 821, 867, 3199, 6133, 4627, 22663, 14775, 83205}},
-{11133, 17, 46076, {1, 3, 1, 13, 9, 35, 27, 251, 281, 727, 873, 3713, 5247, 8407, 17739, 57207, 126201}},
-{11134, 17, 46084, {1, 1, 7, 11, 11, 35, 53, 115, 93, 663, 625, 565, 3137, 7869, 18845, 49155, 83395}},
-{11135, 17, 46094, {1, 3, 3, 5, 21, 13, 99, 151, 319, 9, 1363, 1489, 2545, 1963, 1271, 24815, 43355}},
-{11136, 17, 46102, {1, 3, 5, 9, 15, 51, 109, 85, 67, 131, 1947, 181, 7331, 15163, 2255, 33449, 78107}},
-{11137, 17, 46118, {1, 1, 7, 9, 27, 61, 1, 163, 309, 739, 453, 1837, 2093, 16021, 8485, 19755, 61335}},
-{11138, 17, 46149, {1, 3, 5, 7, 3, 13, 11, 195, 91, 143, 203, 2785, 7319, 7153, 19265, 11597, 63365}},
-{11139, 17, 46154, {1, 3, 1, 9, 29, 1, 123, 247, 253, 757, 191, 1699, 6625, 1785, 29199, 29409, 32577}},
-{11140, 17, 46167, {1, 3, 5, 11, 23, 21, 31, 35, 383, 587, 65, 1695, 4045, 12305, 12437, 5919, 51465}},
-{11141, 17, 46173, {1, 1, 5, 9, 11, 13, 123, 171, 499, 877, 1785, 561, 2547, 1797, 27679, 56305, 93223}},
-{11142, 17, 46177, {1, 3, 1, 3, 25, 41, 63, 243, 219, 533, 753, 1903, 3257, 11901, 4777, 28629, 111141}},
-{11143, 17, 46192, {1, 3, 3, 5, 31, 47, 1, 253, 283, 995, 1787, 1767, 6599, 11913, 21515, 39259, 117727}},
-{11144, 17, 46197, {1, 1, 7, 7, 31, 35, 39, 255, 463, 763, 881, 2583, 347, 14343, 22761, 45821, 119155}},
-{11145, 17, 46201, {1, 3, 5, 9, 5, 37, 43, 55, 423, 525, 157, 3593, 2831, 11539, 15675, 11695, 100609}},
-{11146, 17, 46214, {1, 3, 3, 5, 11, 9, 27, 57, 409, 201, 1029, 2461, 5823, 2593, 32031, 4203, 55327}},
-{11147, 17, 46217, {1, 1, 7, 15, 15, 25, 69, 83, 309, 687, 1607, 819, 7381, 3697, 5289, 33153, 48157}},
-{11148, 17, 46223, {1, 1, 5, 5, 31, 57, 41, 195, 201, 59, 2045, 2213, 6695, 3839, 17331, 4981, 26803}},
-{11149, 17, 46226, {1, 1, 1, 11, 7, 53, 109, 169, 387, 181, 391, 19, 4159, 299, 29059, 27781, 110193}},
-{11150, 17, 46228, {1, 3, 7, 15, 5, 31, 95, 155, 47, 601, 1463, 1799, 8027, 3003, 18067, 24589, 108171}},
-{11151, 17, 46237, {1, 3, 3, 7, 11, 61, 21, 121, 117, 149, 1037, 3829, 3581, 15223, 17051, 34539, 37263}},
-{11152, 17, 46241, {1, 3, 3, 3, 15, 15, 115, 91, 443, 309, 1073, 2053, 789, 7415, 26253, 62657, 49729}},
-{11153, 17, 46251, {1, 3, 5, 5, 31, 19, 23, 221, 19, 105, 1105, 2025, 4209, 7531, 30191, 40777, 46069}},
-{11154, 17, 46259, {1, 1, 1, 7, 29, 45, 29, 215, 33, 21, 1147, 1725, 3711, 2759, 12731, 57031, 42361}},
-{11155, 17, 46262, {1, 1, 5, 15, 13, 59, 111, 169, 317, 841, 1387, 3513, 3137, 8265, 31789, 26963, 126219}},
-{11156, 17, 46266, {1, 1, 3, 1, 23, 21, 13, 113, 71, 177, 345, 3149, 1461, 12945, 3971, 59759, 61839}},
-{11157, 17, 46294, {1, 3, 5, 13, 9, 19, 103, 17, 95, 617, 1477, 263, 4259, 12899, 24351, 47431, 11583}},
-{11158, 17, 46300, {1, 3, 5, 11, 13, 11, 7, 61, 13, 63, 1687, 631, 381, 5899, 10225, 19657, 37087}},
-{11159, 17, 46303, {1, 3, 5, 3, 7, 53, 11, 193, 103, 427, 1097, 299, 2905, 5019, 31803, 28931, 47495}},
-{11160, 17, 46309, {1, 3, 3, 11, 21, 31, 125, 249, 233, 941, 975, 2287, 7837, 6481, 11021, 52829, 63023}},
-{11161, 17, 46321, {1, 1, 7, 15, 13, 17, 33, 85, 503, 11, 689, 637, 4063, 12223, 1835, 17161, 35213}},
-{11162, 17, 46331, {1, 3, 5, 13, 25, 37, 21, 135, 377, 623, 895, 2547, 2757, 9055, 17337, 65457, 24737}},
-{11163, 17, 46339, {1, 1, 1, 15, 25, 11, 17, 95, 65, 271, 1791, 841, 1441, 11177, 10087, 63963, 71481}},
-{11164, 17, 46342, {1, 3, 5, 11, 31, 1, 37, 107, 109, 459, 1185, 2155, 271, 11775, 23243, 53517, 103669}},
-{11165, 17, 46354, {1, 3, 1, 9, 1, 49, 23, 141, 169, 475, 469, 2271, 1379, 13139, 1765, 63625, 14143}},
-{11166, 17, 46370, {1, 1, 1, 9, 13, 7, 23, 219, 381, 105, 743, 1745, 2999, 661, 7245, 39653, 99913}},
-{11167, 17, 46372, {1, 3, 1, 11, 7, 35, 9, 215, 41, 537, 1569, 1803, 3613, 667, 15089, 39485, 85457}},
-{11168, 17, 46379, {1, 1, 1, 15, 9, 49, 75, 235, 119, 97, 273, 209, 2707, 2071, 21943, 60249, 57737}},
-{11169, 17, 46382, {1, 1, 5, 15, 31, 19, 33, 49, 279, 461, 143, 3001, 3539, 1015, 27597, 35389, 36483}},
-{11170, 17, 46393, {1, 3, 7, 1, 23, 51, 123, 247, 485, 343, 1365, 593, 6465, 12305, 29375, 30641, 43165}},
-{11171, 17, 46402, {1, 1, 7, 13, 15, 11, 125, 51, 235, 717, 1427, 3203, 1711, 12607, 8805, 5773, 27467}},
-{11172, 17, 46407, {1, 3, 5, 5, 5, 13, 51, 181, 133, 977, 469, 2513, 6819, 12985, 8917, 47317, 47557}},
-{11173, 17, 46416, {1, 1, 5, 7, 3, 7, 71, 17, 345, 921, 1621, 2801, 5825, 827, 17711, 33701, 113503}},
-{11174, 17, 46425, {1, 3, 1, 1, 17, 7, 99, 83, 73, 349, 567, 713, 5639, 4969, 11549, 35317, 28995}},
-{11175, 17, 46437, {1, 3, 3, 9, 11, 53, 123, 227, 391, 775, 1013, 3971, 6183, 14453, 6403, 57063, 7123}},
-{11176, 17, 46444, {1, 1, 1, 15, 27, 13, 51, 147, 151, 535, 2017, 3019, 6791, 3931, 12529, 30855, 33243}},
-{11177, 17, 46447, {1, 3, 1, 1, 27, 43, 103, 85, 135, 207, 621, 251, 3723, 10893, 29533, 31023, 11043}},
-{11178, 17, 46449, {1, 3, 7, 5, 7, 39, 55, 133, 141, 63, 237, 3299, 861, 15123, 11859, 13271, 32893}},
-{11179, 17, 46456, {1, 3, 7, 9, 23, 17, 73, 197, 113, 725, 137, 2835, 2877, 6913, 22949, 56071, 67597}},
-{11180, 17, 46462, {1, 3, 7, 7, 15, 3, 15, 253, 51, 443, 15, 2549, 7833, 4713, 29211, 22339, 6009}},
-{11181, 17, 46472, {1, 3, 5, 15, 19, 55, 35, 59, 281, 995, 1113, 605, 2345, 10009, 14629, 11757, 53241}},
-{11182, 17, 46475, {1, 1, 1, 11, 3, 31, 11, 193, 437, 1003, 873, 909, 6513, 2045, 10495, 17387, 25461}},
-{11183, 17, 46486, {1, 1, 3, 5, 21, 61, 47, 177, 379, 773, 951, 419, 4455, 10171, 17403, 19045, 87327}},
-{11184, 17, 46490, {1, 3, 3, 11, 31, 41, 69, 229, 207, 299, 1743, 1417, 4785, 1327, 26967, 43077, 124319}},
-{11185, 17, 46495, {1, 3, 7, 15, 19, 37, 65, 219, 33, 691, 205, 1577, 4775, 8427, 28315, 53559, 100789}},
-{11186, 17, 46501, {1, 3, 5, 11, 5, 39, 55, 147, 139, 871, 1563, 3661, 4791, 423, 30007, 1589, 20255}},
-{11187, 17, 46514, {1, 1, 3, 15, 5, 61, 89, 83, 261, 519, 1367, 2019, 3799, 8237, 9011, 28995, 1587}},
-{11188, 17, 46526, {1, 1, 7, 15, 17, 55, 49, 41, 353, 507, 1565, 3365, 7947, 10391, 1323, 61591, 126305}},
-{11189, 17, 46528, {1, 3, 3, 5, 13, 19, 49, 195, 355, 915, 1867, 3513, 1239, 4809, 16925, 22947, 92641}},
-{11190, 17, 46538, {1, 1, 7, 3, 31, 51, 45, 241, 55, 195, 1233, 3675, 8077, 4981, 17679, 53025, 77927}},
-{11191, 17, 46551, {1, 3, 5, 11, 23, 5, 93, 49, 277, 979, 1093, 3031, 6131, 8085, 19121, 45305, 6705}},
-{11192, 17, 46552, {1, 1, 7, 13, 29, 25, 83, 105, 469, 729, 1495, 2607, 2681, 13959, 101, 1913, 2671}},
-{11193, 17, 46564, {1, 1, 1, 15, 7, 19, 63, 105, 253, 807, 1889, 2433, 1591, 16267, 11997, 18939, 113313}},
-{11194, 17, 46579, {1, 1, 5, 3, 13, 23, 29, 227, 337, 115, 783, 475, 6949, 9485, 1797, 18713, 123981}},
-{11195, 17, 46586, {1, 3, 3, 9, 21, 43, 115, 225, 147, 753, 919, 1157, 2901, 14813, 30035, 52553, 30225}},
-{11196, 17, 46602, {1, 1, 3, 15, 23, 19, 65, 83, 457, 965, 579, 2133, 291, 2033, 7533, 52995, 92243}},
-{11197, 17, 46615, {1, 1, 1, 5, 11, 3, 23, 245, 255, 373, 1119, 3695, 6449, 13497, 817, 32215, 103599}},
-{11198, 17, 46616, {1, 3, 1, 5, 5, 19, 57, 53, 145, 441, 1253, 929, 1299, 11491, 29457, 11245, 55717}},
-{11199, 17, 46621, {1, 1, 7, 13, 9, 13, 73, 85, 127, 29, 629, 409, 2487, 13079, 3767, 27985, 110139}},
-{11200, 17, 46635, {1, 1, 5, 11, 29, 39, 27, 9, 487, 623, 757, 2879, 669, 12521, 23471, 47933, 41721}},
-{11201, 17, 46643, {1, 1, 7, 15, 21, 9, 59, 39, 325, 787, 1347, 3039, 7333, 9793, 19337, 41285, 48339}},
-{11202, 17, 46645, {1, 3, 3, 11, 11, 21, 127, 45, 173, 981, 483, 3707, 3651, 10545, 16865, 62105, 114847}},
-{11203, 17, 46649, {1, 3, 5, 11, 11, 49, 89, 179, 393, 455, 1775, 1903, 8173, 12589, 17281, 57687, 56153}},
-{11204, 17, 46667, {1, 3, 1, 3, 7, 7, 59, 223, 255, 559, 375, 2427, 6921, 3709, 24767, 16213, 60373}},
-{11205, 17, 46670, {1, 1, 7, 15, 3, 31, 37, 129, 307, 1023, 1807, 519, 6779, 8997, 15383, 4391, 61161}},
-{11206, 17, 46672, {1, 1, 1, 1, 9, 25, 53, 27, 263, 459, 1015, 417, 4195, 10931, 20507, 19299, 82371}},
-{11207, 17, 46678, {1, 1, 3, 1, 7, 7, 49, 221, 47, 7, 1747, 1533, 3089, 14369, 32609, 64157, 78139}},
-{11208, 17, 46681, {1, 3, 7, 5, 5, 13, 101, 231, 227, 19, 1359, 3017, 1405, 3715, 3541, 933, 1117}},
-{11209, 17, 46684, {1, 1, 7, 15, 5, 63, 59, 253, 269, 781, 1639, 2247, 1041, 667, 7055, 21221, 84447}},
-{11210, 17, 46687, {1, 1, 7, 3, 9, 13, 115, 247, 215, 173, 457, 1125, 5613, 13171, 17847, 26323, 68461}},
-{11211, 17, 46705, {1, 3, 5, 9, 15, 19, 95, 213, 425, 567, 1625, 1659, 6961, 10569, 20985, 17255, 89919}},
-{11212, 17, 46708, {1, 3, 5, 5, 3, 11, 107, 123, 265, 743, 499, 1885, 6079, 7791, 24953, 30925, 112517}},
-{11213, 17, 46721, {1, 1, 5, 15, 29, 27, 103, 195, 119, 873, 1751, 2091, 6623, 7583, 20413, 52367, 16831}},
-{11214, 17, 46724, {1, 1, 7, 7, 21, 15, 111, 197, 89, 107, 1317, 2107, 1951, 189, 31663, 63007, 21405}},
-{11215, 17, 46739, {1, 3, 1, 13, 27, 15, 93, 251, 209, 93, 1419, 3785, 1899, 3143, 3205, 16309, 121455}},
-{11216, 17, 46757, {1, 1, 7, 7, 17, 43, 23, 251, 425, 591, 1101, 1317, 6369, 14209, 10257, 33813, 59557}},
-{11217, 17, 46762, {1, 1, 7, 3, 5, 41, 65, 59, 327, 369, 1867, 1045, 4953, 3155, 25679, 8545, 22753}},
-{11218, 17, 46764, {1, 1, 5, 3, 5, 25, 117, 97, 369, 721, 1459, 2501, 4899, 5299, 3859, 2509, 127723}},
-{11219, 17, 46776, {1, 3, 3, 1, 27, 13, 65, 185, 255, 543, 2013, 2027, 1131, 4067, 1327, 44639, 53275}},
-{11220, 17, 46784, {1, 1, 7, 3, 11, 15, 53, 67, 265, 477, 971, 3201, 51, 10599, 23691, 10493, 130347}},
-{11221, 17, 46790, {1, 3, 7, 7, 19, 35, 47, 61, 375, 547, 1867, 1147, 7775, 12757, 15101, 63243, 89817}},
-{11222, 17, 46796, {1, 1, 5, 3, 5, 21, 57, 59, 145, 901, 835, 1093, 6487, 12727, 20585, 6309, 67803}},
-{11223, 17, 46799, {1, 1, 1, 11, 13, 31, 75, 171, 189, 741, 1923, 3503, 4887, 15423, 2499, 39125, 4125}},
-{11224, 17, 46802, {1, 3, 7, 1, 29, 31, 103, 207, 383, 631, 1017, 1693, 6251, 9429, 17491, 60959, 68131}},
-{11225, 17, 46813, {1, 1, 1, 1, 19, 45, 127, 105, 451, 287, 657, 3521, 2021, 15793, 8993, 34837, 65441}},
-{11226, 17, 46814, {1, 1, 7, 9, 17, 15, 13, 189, 255, 753, 1779, 3047, 1179, 13201, 28249, 5909, 35775}},
-{11227, 17, 46824, {1, 3, 3, 3, 5, 11, 125, 207, 375, 375, 135, 2939, 1141, 12211, 727, 16137, 52253}},
-{11228, 17, 46832, {1, 3, 7, 9, 29, 3, 83, 221, 281, 299, 667, 3435, 589, 8039, 7991, 24289, 13079}},
-{11229, 17, 46841, {1, 3, 5, 13, 9, 11, 11, 99, 337, 155, 233, 2497, 3385, 15045, 5783, 40915, 19201}},
-{11230, 17, 46856, {1, 1, 7, 5, 5, 23, 25, 223, 341, 149, 505, 893, 4933, 14899, 29899, 207, 125359}},
-{11231, 17, 46862, {1, 3, 3, 15, 3, 5, 43, 165, 21, 993, 1091, 3849, 6005, 1905, 7199, 13495, 76915}},
-{11232, 17, 46864, {1, 1, 1, 15, 1, 19, 55, 217, 179, 431, 935, 2219, 8135, 15071, 17437, 43271, 115963}},
-{11233, 17, 46869, {1, 1, 7, 15, 7, 61, 45, 157, 441, 107, 1955, 2877, 5285, 12157, 21783, 60999, 102949}},
-{11234, 17, 46874, {1, 1, 1, 3, 9, 29, 41, 75, 81, 73, 1859, 2923, 3009, 10847, 30257, 44527, 21933}},
-{11235, 17, 46895, {1, 1, 3, 3, 29, 29, 103, 3, 401, 197, 237, 3727, 7919, 13669, 26869, 64987, 1581}},
-{11236, 17, 46900, {1, 1, 5, 13, 13, 47, 99, 209, 45, 745, 1239, 663, 5535, 3777, 10479, 15327, 1441}},
-{11237, 17, 46903, {1, 3, 1, 9, 1, 49, 31, 231, 15, 1001, 773, 2113, 1957, 15271, 25355, 7461, 33089}},
-{11238, 17, 46927, {1, 1, 1, 5, 13, 31, 123, 123, 439, 373, 1817, 2555, 7905, 3151, 2311, 62083, 45535}},
-{11239, 17, 46946, {1, 3, 1, 3, 31, 37, 83, 117, 177, 483, 1285, 1725, 821, 2115, 12893, 54301, 36491}},
-{11240, 17, 46948, {1, 3, 3, 3, 9, 13, 87, 7, 467, 287, 1173, 2739, 3293, 883, 9123, 30799, 110221}},
-{11241, 17, 46955, {1, 3, 1, 15, 3, 5, 119, 235, 393, 789, 67, 1193, 1613, 8607, 17371, 16723, 103747}},
-{11242, 17, 46965, {1, 3, 1, 13, 13, 47, 61, 51, 447, 1, 1221, 1619, 3785, 5851, 10557, 51181, 6535}},
-{11243, 17, 46972, {1, 3, 5, 11, 1, 1, 85, 119, 195, 177, 805, 1161, 4851, 15765, 24405, 41757, 110081}},
-{11244, 17, 46976, {1, 1, 7, 1, 17, 21, 89, 13, 59, 169, 1847, 2401, 6243, 2841, 6153, 16039, 47407}},
-{11245, 17, 46985, {1, 1, 3, 15, 21, 53, 103, 187, 143, 897, 65, 3677, 213, 4027, 22365, 53703, 82951}},
-{11246, 17, 46999, {1, 3, 5, 5, 25, 5, 39, 49, 55, 71, 825, 2123, 2345, 5683, 18027, 29897, 53023}},
-{11247, 17, 47003, {1, 1, 3, 5, 13, 55, 27, 77, 327, 429, 1219, 2103, 7095, 13461, 31027, 15383, 98485}},
-{11248, 17, 47006, {1, 3, 1, 3, 9, 41, 33, 241, 487, 229, 1743, 951, 2319, 15595, 3213, 5959, 90721}},
-{11249, 17, 47016, {1, 1, 7, 1, 29, 45, 45, 163, 123, 227, 305, 1577, 5465, 5639, 14507, 65155, 71425}},
-{11250, 17, 47030, {1, 1, 5, 1, 3, 5, 33, 15, 203, 141, 465, 3509, 6653, 14193, 7073, 22525, 22951}},
-{11251, 17, 47034, {1, 1, 7, 3, 27, 39, 3, 27, 75, 821, 1329, 3655, 4715, 7659, 31957, 60219, 79123}},
-{11252, 17, 47053, {1, 3, 5, 13, 29, 45, 111, 19, 207, 387, 87, 3731, 7427, 13351, 9497, 34285, 25623}},
-{11253, 17, 47056, {1, 1, 3, 11, 19, 39, 79, 219, 97, 125, 947, 1397, 3645, 1021, 9403, 38695, 54985}},
-{11254, 17, 47059, {1, 3, 3, 7, 3, 3, 45, 93, 65, 289, 1843, 1599, 897, 16159, 23485, 24699, 43123}},
-{11255, 17, 47072, {1, 3, 5, 3, 15, 1, 81, 219, 299, 429, 1115, 1763, 6381, 869, 7817, 143, 23583}},
-{11256, 17, 47077, {1, 1, 3, 5, 1, 35, 95, 147, 425, 1011, 1039, 2875, 3089, 3685, 9995, 13279, 60923}},
-{11257, 17, 47099, {1, 1, 5, 7, 5, 59, 105, 241, 151, 307, 735, 1541, 3115, 12331, 19535, 56965, 127015}},
-{11258, 17, 47105, {1, 3, 5, 7, 5, 33, 83, 179, 65, 397, 787, 3425, 1305, 10713, 6973, 9007, 112081}},
-{11259, 17, 47108, {1, 3, 7, 13, 29, 11, 37, 31, 271, 501, 897, 1383, 5333, 13627, 22091, 38421, 94575}},
-{11260, 17, 47112, {1, 3, 1, 1, 9, 61, 87, 115, 13, 79, 391, 2385, 7157, 3369, 26035, 883, 34705}},
-{11261, 17, 47115, {1, 1, 3, 9, 21, 29, 15, 165, 53, 719, 1509, 1295, 4437, 8229, 17961, 55297, 62635}},
-{11262, 17, 47117, {1, 1, 7, 5, 27, 21, 23, 141, 341, 423, 9, 2693, 5555, 5797, 13179, 1107, 33489}},
-{11263, 17, 47120, {1, 3, 1, 13, 27, 33, 101, 29, 379, 119, 1259, 861, 6843, 69, 3253, 61977, 80061}},
-{11264, 17, 47129, {1, 1, 3, 11, 1, 37, 35, 43, 105, 655, 221, 873, 91, 9095, 8999, 44033, 24807}},
-{11265, 17, 47135, {1, 3, 3, 7, 29, 15, 23, 227, 399, 305, 2007, 747, 2717, 14767, 6515, 40617, 7873}},
-{11266, 17, 47151, {1, 1, 5, 15, 21, 43, 39, 7, 261, 421, 505, 1433, 1155, 5621, 2337, 54027, 54039}},
-{11267, 17, 47154, {1, 1, 1, 9, 15, 39, 49, 185, 503, 895, 1321, 375, 4245, 4929, 9637, 50561, 65733}},
-{11268, 17, 47156, {1, 1, 5, 15, 7, 29, 27, 155, 423, 631, 1295, 973, 4227, 2637, 8479, 29527, 70505}},
-{11269, 17, 47166, {1, 3, 1, 3, 31, 33, 13, 67, 195, 335, 1577, 3715, 559, 7251, 7215, 46443, 125359}},
-{11270, 17, 47171, {1, 3, 1, 9, 17, 37, 15, 119, 79, 851, 911, 3549, 99, 9221, 29897, 63489, 34937}},
-{11271, 17, 47195, {1, 3, 5, 9, 31, 11, 125, 1, 265, 467, 835, 2997, 2401, 9615, 19397, 50947, 29963}},
-{11272, 17, 47204, {1, 1, 5, 3, 11, 21, 63, 15, 471, 763, 1963, 2815, 4419, 11457, 7151, 27009, 124847}},
-{11273, 17, 47213, {1, 1, 7, 3, 19, 9, 97, 59, 375, 109, 519, 305, 2787, 3001, 14199, 27415, 35403}},
-{11274, 17, 47222, {1, 1, 1, 3, 13, 47, 3, 93, 307, 979, 419, 2817, 3741, 305, 1813, 34549, 116959}},
-{11275, 17, 47228, {1, 3, 5, 13, 13, 19, 35, 231, 493, 973, 895, 1583, 1843, 9057, 27705, 32333, 130347}},
-{11276, 17, 47241, {1, 1, 1, 13, 31, 35, 81, 11, 363, 229, 1865, 2849, 7805, 877, 3965, 45337, 33239}},
-{11277, 17, 47242, {1, 3, 5, 1, 15, 3, 125, 93, 191, 405, 1359, 929, 3085, 7907, 7777, 7815, 103717}},
-{11278, 17, 47247, {1, 1, 3, 7, 15, 33, 61, 235, 283, 141, 817, 1611, 665, 13113, 4197, 45831, 44505}},
-{11279, 17, 47249, {1, 1, 5, 5, 25, 3, 63, 159, 223, 531, 1147, 2323, 2715, 10319, 32203, 23943, 95407}},
-{11280, 17, 47250, {1, 3, 3, 3, 3, 33, 37, 99, 317, 811, 515, 339, 6527, 11149, 13071, 7177, 1549}},
-{11281, 17, 47261, {1, 3, 1, 11, 31, 53, 9, 17, 297, 259, 1235, 53, 7065, 1721, 8191, 21663, 13393}},
-{11282, 17, 47266, {1, 3, 7, 7, 29, 41, 127, 179, 113, 191, 783, 861, 6509, 5199, 3369, 18327, 30647}},
-{11283, 17, 47268, {1, 3, 1, 7, 23, 41, 49, 155, 135, 513, 1127, 1443, 8081, 2553, 10389, 35459, 122513}},
-{11284, 17, 47278, {1, 1, 7, 3, 25, 3, 117, 125, 283, 165, 1409, 1587, 7915, 12899, 12239, 48161, 7385}},
-{11285, 17, 47286, {1, 3, 7, 3, 23, 19, 29, 47, 7, 723, 455, 4013, 2739, 12303, 29883, 51485, 1571}},
-{11286, 17, 47312, {1, 1, 1, 11, 1, 31, 111, 199, 207, 209, 1163, 2865, 5335, 2647, 9125, 6737, 99881}},
-{11287, 17, 47315, {1, 3, 1, 11, 31, 19, 59, 153, 65, 133, 1399, 2709, 905, 3257, 13603, 46299, 15139}},
-{11288, 17, 47321, {1, 3, 1, 1, 23, 19, 123, 115, 59, 667, 333, 2461, 1843, 16049, 12353, 17297, 107779}},
-{11289, 17, 47322, {1, 1, 5, 1, 5, 29, 91, 241, 97, 557, 1701, 2441, 2995, 13103, 9261, 55833, 843}},
-{11290, 17, 47324, {1, 1, 1, 5, 15, 19, 23, 189, 69, 91, 427, 3149, 5199, 13073, 32273, 41503, 98749}},
-{11291, 17, 47331, {1, 3, 5, 11, 19, 3, 71, 125, 307, 241, 861, 681, 5657, 5189, 7555, 2037, 72921}},
-{11292, 17, 47338, {1, 1, 5, 5, 29, 61, 93, 61, 421, 685, 883, 1559, 5875, 10561, 11761, 18879, 31577}},
-{11293, 17, 47366, {1, 3, 7, 15, 9, 29, 41, 241, 365, 941, 1087, 3743, 6781, 9467, 1409, 20605, 2361}},
-{11294, 17, 47372, {1, 1, 5, 13, 25, 29, 7, 21, 41, 621, 1751, 3731, 2667, 8613, 20999, 3851, 39677}},
-{11295, 17, 47375, {1, 1, 7, 5, 17, 23, 25, 43, 401, 749, 975, 91, 5277, 2711, 19847, 41419, 11851}},
-{11296, 17, 47378, {1, 1, 7, 9, 13, 37, 113, 89, 435, 749, 1553, 1853, 7709, 5449, 25055, 45207, 2269}},
-{11297, 17, 47387, {1, 3, 1, 11, 3, 59, 79, 13, 35, 901, 165, 907, 7579, 12739, 24679, 54163, 61059}},
-{11298, 17, 47389, {1, 1, 5, 7, 9, 47, 101, 61, 25, 461, 1737, 2825, 4439, 5363, 28433, 61979, 120401}},
-{11299, 17, 47390, {1, 3, 3, 3, 1, 55, 103, 1, 449, 473, 375, 2609, 4933, 3411, 19663, 6067, 61129}},
-{11300, 17, 47396, {1, 1, 3, 9, 27, 29, 53, 151, 391, 507, 425, 3469, 6605, 5783, 31747, 37677, 116037}},
-{11301, 17, 47400, {1, 1, 1, 5, 5, 43, 61, 67, 319, 553, 1163, 3095, 4447, 7505, 15617, 26167, 11145}},
-{11302, 17, 47405, {1, 1, 5, 7, 3, 3, 9, 161, 155, 869, 337, 3693, 6847, 8449, 15077, 54769, 123335}},
-{11303, 17, 47408, {1, 3, 3, 7, 11, 19, 17, 71, 105, 649, 323, 3033, 1695, 15973, 6361, 3163, 17669}},
-{11304, 17, 47411, {1, 3, 7, 13, 13, 9, 3, 251, 149, 513, 637, 2211, 6397, 1741, 8547, 3165, 38241}},
-{11305, 17, 47431, {1, 1, 5, 5, 1, 57, 73, 35, 287, 347, 221, 3261, 7693, 5443, 6175, 18181, 23733}},
-{11306, 17, 47443, {1, 3, 7, 5, 5, 19, 1, 167, 5, 825, 815, 1369, 7657, 6169, 9583, 34761, 81003}},
-{11307, 17, 47459, {1, 3, 3, 5, 15, 17, 23, 157, 475, 297, 1495, 811, 8135, 11453, 9683, 55505, 84361}},
-{11308, 17, 47466, {1, 1, 1, 11, 1, 63, 59, 189, 205, 1023, 1065, 1095, 2293, 14629, 29399, 2925, 28327}},
-{11309, 17, 47479, {1, 3, 1, 3, 31, 33, 85, 183, 383, 731, 1223, 3353, 3703, 5655, 31265, 12249, 22127}},
-{11310, 17, 47480, {1, 3, 5, 7, 7, 29, 61, 3, 375, 95, 1815, 4065, 6287, 3797, 32397, 50581, 123371}},
-{11311, 17, 47495, {1, 3, 1, 9, 13, 37, 57, 139, 43, 561, 425, 3603, 1167, 10281, 31825, 32673, 106169}},
-{11312, 17, 47504, {1, 3, 5, 3, 15, 41, 29, 223, 79, 851, 1741, 2241, 5659, 9773, 18369, 37239, 14831}},
-{11313, 17, 47519, {1, 3, 1, 1, 7, 11, 83, 63, 51, 521, 1911, 475, 5207, 3219, 10257, 40461, 9087}},
-{11314, 17, 47520, {1, 3, 5, 7, 23, 17, 97, 195, 5, 451, 1971, 1881, 921, 8729, 3443, 64529, 67747}},
-{11315, 17, 47530, {1, 1, 3, 9, 21, 63, 45, 181, 429, 605, 169, 3493, 2381, 2887, 19515, 53151, 60147}},
-{11316, 17, 47537, {1, 3, 3, 7, 15, 11, 117, 161, 333, 139, 587, 2331, 3175, 12093, 12649, 52381, 107117}},
-{11317, 17, 47555, {1, 1, 5, 15, 23, 57, 19, 57, 507, 461, 799, 611, 1589, 10909, 7649, 17817, 24677}},
-{11318, 17, 47558, {1, 1, 3, 15, 1, 61, 9, 201, 401, 387, 527, 2855, 2339, 3813, 11825, 14273, 73745}},
-{11319, 17, 47567, {1, 3, 1, 5, 1, 37, 27, 105, 475, 335, 1169, 3233, 3225, 12861, 10133, 36673, 55025}},
-{11320, 17, 47569, {1, 1, 1, 9, 27, 53, 55, 197, 229, 5, 93, 1157, 7929, 9745, 5295, 15359, 75567}},
-{11321, 17, 47572, {1, 1, 7, 5, 11, 3, 109, 81, 457, 159, 1899, 557, 1067, 295, 2661, 1145, 8745}},
-{11322, 17, 47582, {1, 1, 1, 15, 31, 29, 77, 171, 411, 425, 1041, 2791, 2567, 5357, 21871, 27689, 103485}},
-{11323, 17, 47591, {1, 3, 5, 11, 19, 47, 23, 97, 405, 667, 2045, 2951, 2063, 7775, 20629, 34283, 26925}},
-{11324, 17, 47595, {1, 3, 5, 7, 5, 51, 125, 67, 165, 145, 733, 1649, 5787, 4333, 24355, 33397, 101001}},
-{11325, 17, 47598, {1, 3, 7, 11, 13, 7, 117, 147, 449, 201, 953, 553, 1839, 6903, 10417, 42751, 36823}},
-{11326, 17, 47609, {1, 1, 3, 5, 3, 21, 109, 35, 95, 953, 211, 2849, 5681, 16287, 16553, 30345, 69729}},
-{11327, 17, 47612, {1, 3, 7, 5, 25, 37, 21, 143, 317, 621, 1417, 283, 3801, 15375, 3799, 13345, 59727}},
-{11328, 17, 47616, {1, 3, 3, 9, 3, 37, 113, 127, 123, 979, 1225, 2585, 2055, 2571, 16727, 38863, 74347}},
-{11329, 17, 47625, {1, 3, 3, 3, 23, 13, 49, 111, 277, 143, 1171, 605, 91, 13693, 1971, 18209, 114203}},
-{11330, 17, 47640, {1, 1, 1, 9, 27, 33, 73, 9, 93, 343, 55, 3045, 2029, 3665, 28483, 6601, 72085}},
-{11331, 17, 47649, {1, 1, 1, 15, 17, 55, 87, 231, 103, 1005, 1451, 3617, 7477, 2045, 10683, 39053, 1289}},
-{11332, 17, 47655, {1, 3, 7, 7, 25, 55, 39, 89, 489, 609, 1969, 159, 7485, 10713, 28371, 14935, 95347}},
-{11333, 17, 47661, {1, 3, 3, 13, 25, 9, 83, 167, 25, 135, 2017, 3313, 1493, 7799, 22479, 49471, 20149}},
-{11334, 17, 47688, {1, 1, 1, 15, 25, 13, 63, 117, 97, 449, 1331, 229, 6027, 1023, 26705, 15283, 60385}},
-{11335, 17, 47711, {1, 1, 7, 5, 5, 37, 3, 79, 337, 861, 1549, 915, 7303, 1503, 19245, 60721, 45313}},
-{11336, 17, 47717, {1, 3, 7, 15, 19, 1, 11, 39, 505, 757, 1627, 2137, 3209, 7651, 31291, 45913, 26851}},
-{11337, 17, 47721, {1, 3, 1, 5, 25, 21, 85, 233, 171, 269, 367, 1651, 3961, 2487, 1977, 7027, 2725}},
-{11338, 17, 47724, {1, 1, 5, 15, 13, 23, 81, 145, 201, 323, 425, 2785, 1149, 12617, 11451, 23205, 117691}},
-{11339, 17, 47727, {1, 1, 7, 11, 29, 37, 69, 141, 15, 773, 1299, 2147, 8129, 12227, 27811, 58701, 103637}},
-{11340, 17, 47730, {1, 3, 5, 13, 3, 33, 29, 227, 261, 221, 823, 1399, 5107, 2423, 23809, 42175, 28207}},
-{11341, 17, 47739, {1, 3, 1, 15, 21, 1, 121, 255, 259, 441, 45, 1899, 2489, 4155, 18317, 52695, 607}},
-{11342, 17, 47745, {1, 3, 5, 9, 25, 43, 115, 111, 329, 997, 753, 1513, 6949, 3197, 28275, 48855, 25089}},
-{11343, 17, 47752, {1, 3, 3, 3, 25, 9, 21, 213, 111, 173, 913, 1465, 4437, 9725, 1455, 53517, 81843}},
-{11344, 17, 47758, {1, 3, 5, 5, 5, 25, 3, 159, 19, 203, 181, 3447, 6395, 2145, 11289, 16797, 59567}},
-{11345, 17, 47765, {1, 3, 3, 1, 29, 25, 43, 115, 257, 833, 379, 941, 4389, 5795, 12593, 2471, 127149}},
-{11346, 17, 47770, {1, 3, 1, 9, 3, 15, 81, 141, 155, 515, 1677, 2569, 1105, 15653, 24143, 3439, 17317}},
-{11347, 17, 47782, {1, 3, 1, 13, 27, 13, 103, 87, 27, 971, 671, 629, 4943, 13897, 4003, 21507, 40193}},
-{11348, 17, 47786, {1, 3, 5, 9, 1, 49, 11, 15, 511, 837, 1953, 1585, 1867, 9095, 543, 16993, 115187}},
-{11349, 17, 47791, {1, 1, 5, 11, 21, 49, 37, 61, 9, 629, 1025, 1635, 4047, 15491, 28481, 43235, 53165}},
-{11350, 17, 47793, {1, 1, 5, 7, 15, 57, 121, 119, 405, 29, 655, 3085, 7131, 14761, 2273, 47113, 8603}},
-{11351, 17, 47796, {1, 1, 3, 3, 11, 45, 51, 107, 367, 235, 675, 3777, 6081, 16319, 19499, 36893, 25579}},
-{11352, 17, 47814, {1, 1, 7, 11, 1, 13, 43, 159, 415, 423, 1223, 2201, 1089, 10189, 12457, 26691, 3603}},
-{11353, 17, 47823, {1, 1, 3, 3, 3, 37, 109, 67, 487, 785, 637, 3931, 929, 14153, 25283, 483, 14371}},
-{11354, 17, 47826, {1, 1, 7, 9, 31, 59, 9, 245, 479, 113, 1419, 3265, 8131, 11123, 32519, 12141, 82059}},
-{11355, 17, 47837, {1, 1, 1, 7, 25, 25, 31, 13, 81, 217, 997, 1161, 1049, 5487, 8487, 57807, 126115}},
-{11356, 17, 47854, {1, 1, 3, 15, 1, 23, 63, 39, 503, 933, 1915, 687, 547, 779, 7689, 38607, 125229}},
-{11357, 17, 47856, {1, 1, 3, 3, 31, 49, 51, 87, 99, 327, 783, 3487, 7307, 2759, 22781, 56343, 126805}},
-{11358, 17, 47871, {1, 3, 3, 11, 27, 43, 99, 197, 275, 19, 775, 329, 3815, 14277, 3363, 26375, 75427}},
-{11359, 17, 47879, {1, 1, 5, 15, 15, 19, 65, 109, 103, 411, 1591, 2569, 1981, 4773, 7861, 6303, 127421}},
-{11360, 17, 47880, {1, 3, 1, 13, 1, 53, 107, 151, 317, 201, 1053, 2701, 5039, 2179, 10085, 31727, 85579}},
-{11361, 17, 47885, {1, 3, 1, 9, 5, 55, 71, 143, 187, 29, 1363, 2403, 2675, 2187, 12123, 32825, 56461}},
-{11362, 17, 47886, {1, 1, 7, 11, 5, 57, 91, 95, 85, 597, 925, 11, 1915, 9159, 9997, 29565, 111655}},
-{11363, 17, 47903, {1, 1, 5, 9, 25, 57, 79, 189, 205, 687, 471, 601, 5343, 9031, 7853, 6079, 40567}},
-{11364, 17, 47907, {1, 1, 3, 1, 31, 53, 67, 191, 511, 369, 1273, 3859, 4253, 14469, 3427, 17691, 22599}},
-{11365, 17, 47913, {1, 1, 3, 9, 17, 53, 101, 219, 41, 663, 635, 3889, 2197, 8125, 8313, 14957, 111445}},
-{11366, 17, 47916, {1, 1, 5, 5, 7, 49, 113, 9, 399, 257, 617, 63, 2773, 4411, 1193, 54449, 89003}},
-{11367, 17, 47928, {1, 1, 7, 11, 13, 29, 77, 73, 161, 419, 985, 303, 2237, 15217, 26621, 20441, 113955}},
-{11368, 17, 47936, {1, 3, 3, 9, 17, 39, 37, 139, 289, 421, 1021, 2635, 2805, 5815, 9101, 48077, 114009}},
-{11369, 17, 47945, {1, 1, 1, 15, 25, 43, 71, 35, 103, 827, 1301, 3567, 3425, 3689, 14453, 10733, 81257}},
-{11370, 17, 47948, {1, 3, 5, 5, 15, 31, 41, 161, 481, 231, 1135, 3045, 439, 11785, 14863, 39729, 59539}},
-{11371, 17, 47956, {1, 1, 5, 7, 27, 9, 81, 141, 395, 105, 41, 3719, 3105, 13685, 7451, 31381, 82907}},
-{11372, 17, 47965, {1, 3, 1, 13, 15, 25, 127, 231, 433, 837, 1923, 1301, 2479, 3243, 21605, 55789, 11311}},
-{11373, 17, 47970, {1, 3, 5, 7, 17, 5, 27, 111, 217, 445, 1245, 1029, 7663, 10291, 16483, 37503, 110205}},
-{11374, 17, 47972, {1, 1, 1, 7, 31, 21, 51, 235, 487, 457, 1687, 2947, 5067, 13779, 7671, 7257, 119141}},
-{11375, 17, 47981, {1, 1, 5, 13, 25, 31, 59, 183, 33, 887, 469, 813, 7939, 11775, 5795, 26227, 57703}},
-{11376, 17, 47987, {1, 3, 3, 15, 17, 7, 19, 87, 365, 177, 1157, 1023, 3055, 15439, 27187, 32593, 112507}},
-{11377, 17, 48010, {1, 1, 1, 9, 19, 49, 103, 239, 207, 409, 1613, 2793, 5477, 11221, 21611, 19963, 99333}},
-{11378, 17, 48012, {1, 3, 3, 11, 17, 1, 103, 77, 93, 197, 1883, 4053, 4613, 11571, 1841, 23189, 4235}},
-{11379, 17, 48023, {1, 3, 5, 9, 9, 49, 29, 231, 167, 593, 1909, 2457, 323, 10549, 6551, 45597, 96591}},
-{11380, 17, 48033, {1, 1, 7, 11, 15, 39, 33, 61, 13, 879, 1589, 2169, 125, 2427, 13029, 24919, 14147}},
-{11381, 17, 48051, {1, 3, 5, 5, 25, 53, 49, 255, 263, 917, 1997, 171, 2945, 14243, 12983, 21821, 119547}},
-{11382, 17, 48071, {1, 1, 1, 15, 5, 25, 113, 235, 311, 377, 1059, 1365, 3457, 8699, 18617, 25119, 110659}},
-{11383, 17, 48075, {1, 1, 5, 1, 9, 61, 1, 137, 301, 85, 1527, 3831, 923, 13753, 20909, 14007, 22939}},
-{11384, 17, 48077, {1, 1, 7, 9, 23, 17, 31, 107, 55, 293, 425, 3513, 3503, 10075, 6299, 40007, 54355}},
-{11385, 17, 48080, {1, 3, 5, 5, 27, 39, 95, 187, 239, 949, 531, 3541, 99, 6339, 32295, 10377, 111287}},
-{11386, 17, 48099, {1, 1, 5, 15, 19, 39, 23, 89, 185, 47, 87, 1721, 2471, 13221, 13201, 31, 12897}},
-{11387, 17, 48106, {1, 3, 1, 9, 7, 7, 109, 241, 39, 687, 175, 139, 583, 1629, 19775, 6371, 121879}},
-{11388, 17, 48114, {1, 1, 1, 13, 13, 9, 73, 153, 367, 425, 217, 3981, 5203, 1111, 12333, 59799, 105259}},
-{11389, 17, 48120, {1, 1, 3, 5, 7, 33, 27, 123, 335, 727, 1619, 3999, 7799, 2807, 2251, 45835, 113193}},
-{11390, 17, 48128, {1, 3, 1, 7, 25, 3, 49, 163, 447, 555, 647, 1461, 5881, 15755, 32233, 48915, 96203}},
-{11391, 17, 48145, {1, 3, 7, 7, 21, 11, 61, 101, 323, 165, 1489, 2933, 3363, 8471, 4311, 65279, 123813}},
-{11392, 17, 48152, {1, 3, 1, 1, 15, 1, 101, 225, 473, 479, 1237, 113, 7591, 2883, 3891, 53703, 14607}},
-{11393, 17, 48155, {1, 3, 5, 3, 17, 51, 23, 31, 487, 957, 1623, 2329, 2801, 6213, 7523, 14131, 23893}},
-{11394, 17, 48182, {1, 1, 5, 7, 9, 39, 93, 105, 13, 481, 53, 3785, 5621, 11889, 993, 23611, 73651}},
-{11395, 17, 48188, {1, 3, 7, 15, 21, 57, 97, 69, 339, 289, 1805, 2661, 1165, 6079, 1127, 51285, 54453}},
-{11396, 17, 48203, {1, 1, 3, 3, 3, 3, 1, 179, 123, 1011, 1363, 231, 6983, 9499, 91, 52573, 32565}},
-{11397, 17, 48217, {1, 3, 3, 15, 5, 37, 97, 7, 189, 547, 1965, 3821, 4907, 8181, 12857, 7907, 19361}},
-{11398, 17, 48218, {1, 1, 5, 3, 29, 33, 45, 99, 359, 337, 1377, 577, 3117, 9545, 30093, 26147, 128509}},
-{11399, 17, 48236, {1, 3, 5, 11, 7, 49, 99, 249, 37, 755, 383, 2845, 4153, 695, 11099, 33653, 105155}},
-{11400, 17, 48241, {1, 3, 1, 1, 19, 3, 3, 177, 97, 323, 1367, 213, 4391, 11223, 26497, 12289, 39047}},
-{11401, 17, 48244, {1, 1, 3, 7, 3, 33, 73, 199, 339, 479, 1797, 3905, 2849, 5667, 18015, 36653, 83491}},
-{11402, 17, 48264, {1, 1, 5, 3, 27, 59, 27, 241, 49, 161, 451, 3993, 2489, 10681, 11895, 60405, 47021}},
-{11403, 17, 48269, {1, 1, 7, 5, 9, 23, 115, 131, 383, 895, 1591, 585, 2571, 7485, 31535, 12871, 95717}},
-{11404, 17, 48278, {1, 1, 1, 15, 13, 49, 3, 157, 311, 159, 1239, 159, 5643, 6405, 11763, 34609, 75259}},
-{11405, 17, 48282, {1, 1, 1, 13, 11, 41, 119, 3, 165, 943, 2035, 179, 357, 14591, 20099, 4787, 12659}},
-{11406, 17, 48288, {1, 1, 5, 11, 13, 9, 67, 139, 259, 947, 1559, 283, 1557, 11297, 29753, 21953, 100317}},
-{11407, 17, 48311, {1, 1, 7, 11, 13, 39, 105, 83, 109, 723, 1643, 3599, 1471, 13653, 4583, 18595, 91935}},
-{11408, 17, 48315, {1, 1, 5, 9, 25, 5, 69, 189, 209, 779, 1421, 467, 849, 12887, 10317, 3005, 100813}},
-{11409, 17, 48317, {1, 3, 7, 11, 19, 1, 93, 239, 333, 713, 1525, 813, 5913, 10811, 7077, 20573, 86999}},
-{11410, 17, 48329, {1, 3, 1, 5, 25, 1, 107, 153, 225, 889, 1319, 497, 2193, 11511, 17553, 23733, 83179}},
-{11411, 17, 48330, {1, 3, 3, 3, 5, 45, 51, 37, 443, 851, 263, 4067, 2629, 10887, 29081, 30489, 1161}},
-{11412, 17, 48337, {1, 1, 3, 9, 25, 19, 115, 31, 347, 641, 1103, 1121, 7051, 14071, 16663, 48517, 24655}},
-{11413, 17, 48350, {1, 1, 3, 15, 11, 33, 123, 181, 225, 437, 875, 1997, 209, 5487, 1989, 6745, 38423}},
-{11414, 17, 48353, {1, 3, 7, 5, 27, 5, 105, 203, 51, 683, 1523, 347, 6881, 4353, 4531, 29589, 108053}},
-{11415, 17, 48360, {1, 1, 3, 9, 15, 33, 127, 145, 125, 429, 915, 1307, 1495, 3553, 26797, 36819, 121375}},
-{11416, 17, 48374, {1, 3, 5, 15, 7, 1, 55, 99, 7, 405, 885, 59, 5359, 13969, 32037, 53399, 77293}},
-{11417, 17, 48380, {1, 1, 7, 1, 29, 31, 89, 69, 405, 837, 1949, 2337, 1139, 14129, 16867, 15167, 21117}},
-{11418, 17, 48405, {1, 1, 3, 5, 3, 25, 61, 175, 135, 109, 959, 501, 13, 16057, 25031, 16321, 27617}},
-{11419, 17, 48406, {1, 3, 1, 5, 17, 39, 59, 113, 25, 707, 1641, 3489, 6193, 10085, 13837, 57851, 77475}},
-{11420, 17, 48409, {1, 1, 3, 5, 17, 35, 111, 163, 253, 641, 715, 1101, 4411, 10771, 20241, 46415, 114719}},
-{11421, 17, 48412, {1, 3, 1, 1, 7, 11, 77, 59, 71, 869, 1505, 751, 4367, 9603, 29735, 7333, 62487}},
-{11422, 17, 48416, {1, 3, 7, 9, 3, 51, 93, 195, 497, 659, 1563, 3801, 6933, 9089, 10891, 9853, 93611}},
-{11423, 17, 48419, {1, 3, 1, 7, 21, 47, 61, 117, 293, 281, 1547, 3437, 4947, 12119, 21425, 5591, 23951}},
-{11424, 17, 48425, {1, 1, 7, 13, 19, 59, 121, 249, 147, 759, 1963, 465, 7785, 7015, 81, 47869, 123845}},
-{11425, 17, 48434, {1, 1, 7, 13, 5, 35, 45, 69, 167, 263, 979, 2855, 1845, 5531, 17167, 7363, 89233}},
-{11426, 17, 48443, {1, 3, 3, 3, 17, 43, 109, 193, 389, 867, 1403, 1271, 7127, 13977, 22547, 53997, 24475}},
-{11427, 17, 48445, {1, 1, 1, 5, 25, 43, 47, 163, 417, 967, 819, 2433, 439, 8499, 29705, 32697, 109963}},
-{11428, 17, 48453, {1, 1, 1, 15, 19, 5, 83, 237, 431, 697, 1383, 2499, 6907, 9033, 12147, 23479, 17649}},
-{11429, 17, 48454, {1, 3, 5, 13, 27, 35, 103, 95, 239, 903, 537, 601, 417, 15859, 16533, 16753, 128229}},
-{11430, 17, 48482, {1, 1, 3, 1, 11, 55, 57, 9, 229, 135, 805, 2745, 2023, 12645, 29135, 39051, 17065}},
-{11431, 17, 48491, {1, 3, 5, 3, 13, 25, 77, 29, 449, 31, 1733, 1451, 3895, 11551, 1011, 22817, 35959}},
-{11432, 17, 48501, {1, 3, 3, 3, 1, 31, 93, 47, 255, 393, 571, 443, 6079, 6245, 11773, 42087, 40651}},
-{11433, 17, 48517, {1, 3, 1, 5, 17, 49, 119, 219, 375, 337, 29, 3409, 3187, 15243, 25853, 44385, 103675}},
-{11434, 17, 48518, {1, 3, 7, 15, 15, 21, 79, 109, 81, 119, 603, 1665, 7813, 3485, 11801, 48693, 108307}},
-{11435, 17, 48545, {1, 1, 1, 15, 9, 5, 103, 141, 181, 841, 7, 1217, 7713, 4843, 9089, 53641, 3029}},
-{11436, 17, 48548, {1, 3, 3, 1, 29, 47, 13, 179, 439, 387, 1553, 3141, 947, 4893, 29119, 30865, 14207}},
-{11437, 17, 48552, {1, 1, 1, 15, 29, 1, 41, 135, 43, 673, 1527, 883, 3211, 5195, 30219, 47133, 56819}},
-{11438, 17, 48569, {1, 3, 5, 13, 13, 47, 97, 219, 277, 397, 1901, 821, 1961, 705, 7291, 19435, 123563}},
-{11439, 17, 48575, {1, 1, 7, 15, 5, 49, 93, 59, 221, 205, 115, 559, 5633, 5819, 6923, 18301, 72639}},
-{11440, 17, 48580, {1, 3, 5, 13, 29, 49, 25, 203, 125, 385, 487, 1897, 2177, 6859, 6105, 763, 36673}},
-{11441, 17, 48584, {1, 3, 3, 9, 23, 63, 9, 115, 489, 89, 1113, 1351, 8181, 2569, 18263, 32619, 24795}},
-{11442, 17, 48590, {1, 1, 5, 11, 25, 51, 97, 155, 15, 139, 1275, 3479, 5851, 3099, 7417, 57155, 90185}},
-{11443, 17, 48595, {1, 3, 1, 11, 1, 37, 67, 221, 493, 475, 1881, 2277, 4365, 9411, 16629, 65229, 28803}},
-{11444, 17, 48602, {1, 3, 1, 1, 15, 53, 39, 141, 453, 151, 335, 795, 1515, 2719, 24197, 21153, 129549}},
-{11445, 17, 48604, {1, 1, 1, 7, 19, 31, 59, 123, 73, 149, 469, 1199, 3603, 1539, 29157, 50031, 22109}},
-{11446, 17, 48618, {1, 1, 3, 15, 23, 51, 45, 211, 423, 553, 1289, 1125, 6347, 6711, 23761, 14109, 17261}},
-{11447, 17, 48625, {1, 3, 5, 13, 5, 7, 35, 185, 263, 791, 161, 325, 4771, 11913, 31595, 56675, 68615}},
-{11448, 17, 48626, {1, 1, 5, 9, 19, 27, 89, 147, 55, 197, 1695, 99, 755, 15115, 1933, 41439, 85063}},
-{11449, 17, 48638, {1, 1, 7, 7, 17, 11, 103, 55, 281, 707, 1973, 2055, 5015, 5713, 3717, 44149, 8033}},
-{11450, 17, 48668, {1, 3, 1, 5, 21, 49, 55, 93, 161, 565, 81, 3241, 3709, 8185, 16935, 60369, 118127}},
-{11451, 17, 48677, {1, 3, 7, 9, 27, 1, 105, 133, 397, 351, 1021, 739, 161, 9971, 24733, 29239, 68853}},
-{11452, 17, 48678, {1, 1, 7, 1, 1, 19, 97, 243, 73, 969, 313, 399, 2955, 2467, 18265, 60637, 35457}},
-{11453, 17, 48687, {1, 3, 1, 11, 29, 25, 35, 35, 469, 143, 1195, 911, 1023, 14685, 10933, 16449, 102113}},
-{11454, 17, 48692, {1, 1, 5, 3, 31, 21, 65, 181, 13, 235, 501, 3621, 3567, 8771, 32747, 59231, 91551}},
-{11455, 17, 48696, {1, 1, 1, 13, 29, 21, 13, 33, 193, 565, 203, 3927, 4749, 9897, 26109, 14221, 27733}},
-{11456, 17, 48704, {1, 1, 1, 5, 29, 41, 7, 125, 391, 295, 533, 2135, 3107, 7711, 27811, 55767, 78821}},
-{11457, 17, 48707, {1, 1, 7, 3, 19, 25, 117, 195, 155, 685, 147, 2049, 3751, 4585, 24893, 36895, 80371}},
-{11458, 17, 48714, {1, 3, 5, 5, 23, 41, 9, 125, 315, 809, 1019, 1453, 4605, 13753, 30641, 50677, 94781}},
-{11459, 17, 48731, {1, 1, 1, 7, 27, 45, 103, 199, 37, 291, 651, 185, 6715, 15387, 30873, 63051, 123231}},
-{11460, 17, 48740, {1, 1, 5, 7, 17, 5, 75, 129, 401, 107, 1681, 2039, 299, 12399, 30947, 26327, 91589}},
-{11461, 17, 48750, {1, 3, 3, 15, 17, 19, 109, 19, 493, 797, 209, 929, 2821, 395, 22173, 27803, 87953}},
-{11462, 17, 48761, {1, 3, 7, 5, 7, 5, 71, 159, 483, 389, 1817, 4093, 963, 4253, 31267, 63919, 62113}},
-{11463, 17, 48785, {1, 3, 3, 15, 9, 49, 89, 49, 15, 61, 2041, 2357, 2173, 3349, 32565, 23207, 21177}},
-{11464, 17, 48786, {1, 1, 1, 13, 15, 21, 31, 143, 387, 371, 567, 1903, 3793, 9559, 7055, 31251, 13663}},
-{11465, 17, 48798, {1, 1, 3, 13, 3, 7, 49, 31, 255, 581, 627, 1947, 2965, 2787, 8275, 59785, 19979}},
-{11466, 17, 48807, {1, 3, 3, 13, 29, 47, 53, 133, 301, 253, 1215, 3409, 5745, 247, 31585, 5555, 31011}},
-{11467, 17, 48808, {1, 3, 7, 15, 23, 49, 1, 89, 141, 423, 707, 645, 7955, 10485, 27223, 35867, 45461}},
-{11468, 17, 48814, {1, 1, 3, 3, 29, 25, 123, 63, 197, 429, 169, 3229, 3797, 4029, 29947, 52781, 16065}},
-{11469, 17, 48826, {1, 3, 3, 7, 29, 17, 83, 95, 199, 253, 133, 265, 6723, 6207, 12863, 61311, 21937}},
-{11470, 17, 48828, {1, 3, 7, 13, 19, 61, 89, 151, 249, 597, 1389, 717, 5111, 3285, 6251, 50237, 108703}},
-{11471, 17, 48834, {1, 3, 5, 11, 1, 23, 35, 61, 143, 45, 625, 1693, 4943, 2213, 9317, 7601, 28359}},
-{11472, 17, 48840, {1, 3, 3, 15, 29, 43, 115, 23, 167, 355, 977, 439, 4767, 9967, 22997, 54725, 125637}},
-{11473, 17, 48845, {1, 3, 7, 1, 29, 45, 83, 71, 395, 247, 1, 113, 6393, 12445, 16137, 35125, 102053}},
-{11474, 17, 48858, {1, 1, 1, 7, 17, 55, 17, 159, 33, 237, 207, 1297, 5611, 6023, 17709, 60905, 3533}},
-{11475, 17, 48864, {1, 3, 1, 13, 27, 57, 27, 235, 141, 917, 1655, 659, 939, 559, 2651, 705, 80141}},
-{11476, 17, 48869, {1, 3, 7, 3, 3, 17, 111, 117, 467, 129, 1105, 3457, 2093, 8513, 19941, 22111, 54597}},
-{11477, 17, 48870, {1, 3, 7, 3, 5, 17, 59, 195, 23, 547, 1799, 1427, 391, 4043, 10407, 31055, 38495}},
-{11478, 17, 48879, {1, 1, 1, 7, 21, 9, 71, 33, 209, 773, 1243, 3239, 3763, 15229, 9609, 24395, 56145}},
-{11479, 17, 48887, {1, 3, 5, 13, 13, 45, 71, 91, 23, 553, 665, 1753, 5173, 4355, 14317, 42517, 32307}},
-{11480, 17, 48899, {1, 3, 5, 11, 31, 3, 37, 95, 63, 425, 1611, 2983, 5075, 1375, 14305, 11099, 101203}},
-{11481, 17, 48911, {1, 1, 3, 1, 21, 7, 15, 141, 389, 871, 617, 271, 1037, 13569, 13019, 58899, 54097}},
-{11482, 17, 48920, {1, 3, 7, 1, 13, 25, 21, 251, 467, 373, 1539, 4065, 1871, 791, 26315, 64187, 119455}},
-{11483, 17, 48926, {1, 3, 1, 3, 25, 37, 43, 9, 187, 323, 409, 443, 2861, 14145, 26185, 24049, 109613}},
-{11484, 17, 48929, {1, 1, 3, 7, 21, 61, 3, 81, 445, 673, 1269, 613, 1279, 8209, 22911, 48017, 54181}},
-{11485, 17, 48971, {1, 1, 1, 15, 25, 63, 71, 147, 217, 491, 183, 977, 4967, 3471, 8791, 11843, 68005}},
-{11486, 17, 48974, {1, 1, 1, 5, 25, 43, 13, 237, 57, 919, 1641, 399, 4269, 7357, 3465, 63901, 61329}},
-{11487, 17, 48981, {1, 1, 7, 15, 27, 57, 47, 187, 295, 117, 1223, 2963, 4995, 13279, 25107, 56089, 37293}},
-{11488, 17, 48998, {1, 1, 5, 13, 29, 19, 83, 121, 129, 931, 1933, 1141, 3125, 3321, 22019, 52729, 119643}},
-{11489, 17, 49007, {1, 1, 1, 1, 21, 19, 49, 241, 227, 57, 1919, 113, 6993, 4687, 1043, 5247, 15565}},
-{11490, 17, 49028, {1, 3, 3, 15, 5, 21, 65, 129, 485, 173, 1663, 2419, 4279, 4167, 25827, 28457, 68219}},
-{11491, 17, 49031, {1, 1, 3, 1, 17, 9, 65, 21, 487, 875, 1111, 1679, 6451, 14825, 23931, 16053, 79687}},
-{11492, 17, 49056, {1, 3, 3, 5, 13, 5, 49, 15, 267, 389, 1111, 1505, 5815, 6285, 26075, 167, 70325}},
-{11493, 17, 49065, {1, 1, 3, 11, 5, 15, 57, 171, 407, 497, 1979, 2819, 1267, 6893, 6601, 30971, 24477}},
-{11494, 17, 49079, {1, 1, 1, 15, 7, 5, 69, 181, 195, 847, 1245, 4019, 2469, 1407, 17013, 43437, 16307}},
-{11495, 17, 49083, {1, 3, 1, 11, 15, 17, 115, 197, 215, 35, 1489, 659, 4725, 11339, 30259, 52539, 13365}},
-{11496, 17, 49088, {1, 1, 1, 13, 23, 43, 21, 33, 17, 969, 1321, 2469, 4371, 7685, 6817, 20179, 113483}},
-{11497, 17, 49093, {1, 3, 7, 3, 31, 11, 79, 55, 123, 263, 1061, 2087, 183, 11623, 20703, 60291, 115261}},
-{11498, 17, 49100, {1, 1, 5, 13, 5, 53, 21, 71, 399, 165, 1997, 2667, 7361, 8863, 27859, 17235, 77623}},
-{11499, 17, 49103, {1, 3, 3, 15, 21, 55, 27, 31, 371, 289, 253, 1453, 105, 7035, 14787, 2281, 128359}},
-{11500, 17, 49124, {1, 1, 3, 15, 23, 29, 3, 143, 47, 255, 115, 2741, 6773, 16267, 5975, 3689, 97497}},
-{11501, 17, 49136, {1, 1, 1, 15, 9, 57, 109, 43, 359, 365, 1577, 4091, 7399, 10521, 7983, 56119, 65451}},
-{11502, 17, 49139, {1, 3, 7, 7, 29, 55, 115, 155, 121, 679, 663, 2345, 3765, 4493, 9555, 24043, 41467}},
-{11503, 17, 49142, {1, 1, 3, 1, 19, 55, 67, 255, 355, 701, 2027, 3703, 7839, 1701, 7657, 36429, 36623}},
-{11504, 17, 49145, {1, 3, 5, 5, 29, 7, 31, 123, 21, 901, 1581, 3993, 5105, 9715, 18347, 27415, 19253}},
-{11505, 17, 49146, {1, 3, 5, 3, 3, 53, 121, 105, 51, 577, 157, 2151, 5105, 7855, 8595, 24457, 55931}},
-{11506, 17, 49171, {1, 3, 1, 9, 23, 25, 67, 115, 79, 809, 1215, 943, 1075, 7103, 729, 18791, 115977}},
-{11507, 17, 49187, {1, 3, 1, 13, 3, 57, 105, 161, 277, 393, 1671, 2765, 5781, 13429, 24075, 10931, 50951}},
-{11508, 17, 49190, {1, 3, 5, 9, 19, 61, 9, 227, 455, 541, 721, 2855, 949, 10159, 13801, 48199, 26747}},
-{11509, 17, 49194, {1, 3, 1, 3, 25, 61, 53, 177, 441, 697, 1845, 3573, 6673, 9691, 911, 46387, 64727}},
-{11510, 17, 49196, {1, 1, 1, 11, 7, 13, 95, 221, 455, 967, 869, 883, 6301, 5261, 18401, 35745, 114645}},
-{11511, 17, 49207, {1, 3, 1, 11, 15, 7, 115, 217, 235, 539, 491, 603, 2201, 241, 25445, 29773, 122695}},
-{11512, 17, 49216, {1, 1, 5, 3, 19, 9, 71, 193, 131, 927, 1931, 3981, 7537, 10811, 27285, 45865, 106171}},
-{11513, 17, 49219, {1, 1, 7, 5, 5, 21, 107, 77, 363, 733, 1011, 3259, 5263, 15043, 19153, 32117, 129409}},
-{11514, 17, 49222, {1, 1, 3, 13, 21, 5, 9, 103, 369, 699, 329, 1065, 895, 13211, 19017, 5359, 38335}},
-{11515, 17, 49240, {1, 1, 7, 15, 21, 11, 73, 153, 371, 753, 805, 3519, 5839, 1809, 7201, 8189, 68361}},
-{11516, 17, 49250, {1, 3, 7, 9, 27, 45, 25, 175, 317, 381, 961, 619, 4827, 15161, 19091, 29369, 21097}},
-{11517, 17, 49262, {1, 1, 5, 5, 7, 7, 21, 69, 23, 589, 1413, 653, 911, 13599, 18349, 47307, 64047}},
-{11518, 17, 49276, {1, 1, 1, 13, 27, 23, 87, 249, 135, 727, 375, 3641, 1489, 13053, 5151, 62689, 101347}},
-{11519, 17, 49289, {1, 1, 5, 11, 7, 39, 1, 109, 203, 961, 973, 1181, 2357, 5123, 31481, 58345, 52705}},
-{11520, 17, 49292, {1, 1, 1, 15, 25, 15, 85, 49, 77, 235, 1761, 2731, 4157, 2057, 27587, 30299, 52997}},
-{11521, 17, 49298, {1, 1, 5, 3, 1, 13, 47, 219, 51, 521, 625, 3243, 7093, 10823, 9559, 58191, 95573}},
-{11522, 17, 49319, {1, 3, 5, 13, 27, 63, 13, 7, 167, 909, 1559, 2103, 1807, 943, 28997, 31015, 85407}},
-{11523, 17, 49320, {1, 1, 3, 5, 17, 21, 101, 163, 477, 223, 175, 3435, 7071, 5121, 28015, 33365, 121057}},
-{11524, 17, 49325, {1, 3, 7, 1, 11, 35, 111, 41, 261, 45, 1009, 2827, 4019, 5029, 22289, 20235, 13481}},
-{11525, 17, 49333, {1, 3, 5, 5, 15, 41, 109, 7, 329, 447, 65, 1317, 6169, 15947, 31191, 47091, 60643}},
-{11526, 17, 49340, {1, 3, 7, 7, 21, 13, 29, 113, 511, 407, 1211, 2065, 455, 10049, 5745, 48589, 48669}},
-{11527, 17, 49343, {1, 1, 5, 5, 21, 45, 89, 19, 279, 165, 1897, 957, 8045, 565, 4959, 37173, 100773}},
-{11528, 17, 49352, {1, 3, 1, 15, 9, 17, 99, 143, 489, 633, 1721, 1255, 3655, 10083, 29079, 17109, 10035}},
-{11529, 17, 49363, {1, 1, 3, 3, 3, 23, 47, 9, 255, 169, 1103, 1799, 7899, 7673, 19259, 61919, 112831}},
-{11530, 17, 49375, {1, 1, 5, 5, 31, 37, 83, 229, 93, 575, 1589, 2353, 185, 7783, 9413, 9617, 123197}},
-{11531, 17, 49391, {1, 3, 5, 7, 31, 7, 113, 255, 231, 309, 1215, 737, 3635, 14631, 28737, 45127, 111399}},
-{11532, 17, 49405, {1, 1, 7, 1, 11, 5, 55, 235, 369, 983, 873, 655, 6277, 11425, 11191, 38231, 88941}},
-{11533, 17, 49413, {1, 3, 1, 9, 3, 1, 119, 93, 245, 167, 853, 2543, 203, 5313, 14129, 6283, 107117}},
-{11534, 17, 49420, {1, 3, 3, 13, 21, 33, 59, 167, 435, 163, 1873, 3341, 2895, 13205, 14147, 19567, 100127}},
-{11535, 17, 49425, {1, 1, 5, 9, 7, 15, 39, 81, 475, 511, 1585, 63, 6861, 10055, 3577, 48999, 80979}},
-{11536, 17, 49431, {1, 1, 5, 13, 21, 29, 17, 3, 499, 739, 1257, 2925, 8179, 13367, 18879, 19917, 109907}},
-{11537, 17, 49432, {1, 3, 7, 13, 15, 57, 109, 19, 265, 579, 233, 2507, 5059, 14713, 9549, 41915, 56199}},
-{11538, 17, 49441, {1, 3, 3, 5, 31, 25, 85, 163, 187, 795, 1597, 1963, 473, 4673, 4555, 51365, 73817}},
-{11539, 17, 49456, {1, 3, 3, 13, 25, 35, 71, 251, 33, 971, 235, 1919, 6705, 14657, 23417, 56377, 21071}},
-{11540, 17, 49476, {1, 3, 3, 11, 3, 29, 85, 193, 11, 831, 29, 1233, 6199, 11991, 9205, 3323, 23749}},
-{11541, 17, 49479, {1, 3, 7, 7, 11, 15, 1, 17, 87, 665, 1593, 2331, 845, 7821, 89, 7057, 114975}},
-{11542, 17, 49504, {1, 1, 5, 11, 9, 37, 39, 79, 455, 397, 1431, 1541, 7629, 15133, 21395, 35619, 123801}},
-{11543, 17, 49514, {1, 1, 1, 7, 11, 59, 67, 45, 169, 869, 1547, 2947, 3025, 12967, 29927, 22181, 44783}},
-{11544, 17, 49528, {1, 1, 5, 7, 3, 57, 123, 253, 369, 537, 83, 1147, 3469, 9775, 14137, 38899, 101143}},
-{11545, 17, 49543, {1, 3, 5, 3, 19, 35, 11, 215, 343, 677, 1873, 1211, 3129, 9017, 29595, 1291, 39397}},
-{11546, 17, 49544, {1, 1, 7, 3, 25, 7, 61, 229, 187, 839, 747, 3347, 4321, 13201, 19665, 56951, 85273}},
-{11547, 17, 49550, {1, 1, 1, 1, 11, 5, 51, 41, 227, 895, 553, 2673, 6581, 6583, 15429, 33211, 100599}},
-{11548, 17, 49558, {1, 3, 3, 5, 21, 27, 91, 65, 213, 341, 723, 567, 4761, 11549, 15041, 23079, 55245}},
-{11549, 17, 49568, {1, 1, 3, 1, 15, 43, 83, 57, 473, 453, 1351, 2055, 5769, 3887, 29481, 57915, 14017}},
-{11550, 17, 49578, {1, 3, 3, 3, 21, 29, 121, 137, 99, 527, 711, 1169, 7869, 6245, 25423, 38989, 87019}},
-{11551, 17, 49600, {1, 1, 5, 11, 9, 61, 125, 7, 207, 245, 1019, 635, 7099, 13133, 11809, 56705, 18801}},
-{11552, 17, 49612, {1, 3, 7, 9, 15, 31, 37, 205, 439, 651, 255, 971, 4311, 7137, 11821, 45041, 31081}},
-{11553, 17, 49633, {1, 1, 5, 9, 7, 55, 51, 147, 371, 881, 359, 3021, 1141, 14515, 14605, 64067, 98231}},
-{11554, 17, 49634, {1, 3, 1, 3, 29, 9, 109, 21, 437, 321, 753, 3227, 2929, 14787, 2451, 54331, 115921}},
-{11555, 17, 49636, {1, 3, 5, 7, 1, 29, 13, 167, 89, 185, 409, 209, 6625, 5237, 22513, 2095, 26427}},
-{11556, 17, 49643, {1, 1, 1, 3, 3, 31, 25, 145, 27, 345, 957, 823, 7873, 9469, 29115, 12455, 39447}},
-{11557, 17, 49654, {1, 1, 3, 3, 31, 15, 99, 181, 247, 165, 441, 59, 1181, 2851, 1337, 4929, 31079}},
-{11558, 17, 49657, {1, 1, 3, 11, 3, 47, 41, 53, 41, 435, 945, 3839, 8083, 4927, 26919, 24689, 61015}},
-{11559, 17, 49663, {1, 3, 3, 9, 7, 21, 121, 233, 493, 271, 549, 1627, 5861, 377, 20751, 52927, 3649}},
-{11560, 17, 49667, {1, 1, 1, 7, 15, 49, 29, 149, 57, 513, 873, 93, 337, 12559, 24287, 27771, 28207}},
-{11561, 17, 49693, {1, 1, 5, 7, 7, 7, 75, 161, 419, 601, 55, 2599, 5325, 12419, 26755, 5103, 10231}},
-{11562, 17, 49700, {1, 3, 5, 15, 3, 55, 67, 183, 7, 371, 141, 4093, 4567, 13971, 3327, 20701, 78819}},
-{11563, 17, 49703, {1, 1, 1, 13, 15, 41, 45, 29, 375, 235, 1985, 1051, 5863, 7043, 11143, 59381, 55007}},
-{11564, 17, 49712, {1, 3, 1, 15, 15, 29, 15, 101, 395, 39, 1839, 1689, 429, 405, 29337, 28573, 10599}},
-{11565, 17, 49717, {1, 3, 3, 11, 7, 5, 11, 153, 235, 227, 561, 1037, 2283, 6657, 6729, 17939, 29809}},
-{11566, 17, 49718, {1, 1, 1, 5, 15, 59, 33, 69, 275, 447, 661, 2071, 5811, 10463, 32707, 64503, 106313}},
-{11567, 17, 49721, {1, 1, 7, 1, 21, 53, 21, 235, 497, 309, 1207, 1613, 7739, 12785, 7743, 37671, 29197}},
-{11568, 17, 49727, {1, 3, 5, 9, 9, 51, 33, 105, 275, 917, 1911, 3607, 865, 899, 5405, 59593, 113965}},
-{11569, 17, 49730, {1, 3, 1, 7, 7, 63, 51, 83, 481, 347, 1323, 3549, 2873, 12527, 16515, 61077, 63239}},
-{11570, 17, 49735, {1, 1, 1, 1, 13, 21, 87, 139, 461, 215, 1173, 1197, 2091, 11247, 25647, 23443, 105761}},
-{11571, 17, 49739, {1, 1, 1, 1, 27, 33, 21, 27, 365, 75, 351, 2111, 3897, 13325, 4821, 41355, 95681}},
-{11572, 17, 49747, {1, 3, 5, 5, 15, 41, 15, 93, 397, 461, 1993, 321, 4375, 1205, 18417, 37549, 30181}},
-{11573, 17, 49765, {1, 3, 5, 15, 1, 49, 101, 129, 215, 773, 1265, 2245, 2517, 16261, 32149, 3545, 27631}},
-{11574, 17, 49770, {1, 1, 1, 15, 5, 5, 3, 127, 265, 721, 875, 3117, 2177, 7843, 15871, 22687, 89347}},
-{11575, 17, 49772, {1, 3, 7, 11, 29, 23, 69, 41, 155, 257, 563, 509, 6105, 9169, 18341, 25373, 127397}},
-{11576, 17, 49777, {1, 1, 5, 13, 31, 23, 65, 131, 131, 61, 1979, 2737, 3793, 3617, 14385, 189, 84567}},
-{11577, 17, 49789, {1, 1, 1, 13, 21, 33, 43, 97, 83, 903, 1971, 3209, 5391, 7703, 13795, 3895, 78045}},
-{11578, 17, 49817, {1, 3, 3, 5, 17, 53, 113, 237, 269, 83, 589, 4029, 3309, 14531, 11359, 25803, 25525}},
-{11579, 17, 49829, {1, 1, 7, 1, 21, 35, 43, 73, 251, 705, 1737, 3341, 1581, 9663, 6251, 16329, 44491}},
-{11580, 17, 49839, {1, 3, 3, 7, 17, 5, 65, 19, 203, 717, 807, 1759, 6907, 15801, 30369, 2655, 69565}},
-{11581, 17, 49844, {1, 1, 1, 1, 31, 21, 75, 221, 115, 395, 1495, 2739, 1745, 5981, 28045, 56581, 130695}},
-{11582, 17, 49851, {1, 3, 1, 9, 27, 5, 113, 123, 367, 701, 647, 117, 2389, 12309, 1747, 23421, 21583}},
-{11583, 17, 49854, {1, 1, 1, 15, 27, 57, 95, 81, 347, 765, 1435, 1727, 153, 6051, 27085, 62787, 40903}},
-{11584, 17, 49874, {1, 1, 3, 11, 23, 29, 23, 29, 169, 653, 835, 357, 5113, 5293, 11779, 23567, 64569}},
-{11585, 17, 49883, {1, 1, 7, 13, 31, 7, 101, 235, 99, 247, 1267, 509, 3927, 14317, 3217, 24389, 34215}},
-{11586, 17, 49886, {1, 3, 3, 5, 21, 27, 33, 229, 33, 551, 815, 3551, 4261, 13325, 31117, 40689, 66549}},
-{11587, 17, 49892, {1, 3, 7, 1, 23, 1, 99, 11, 139, 569, 365, 1233, 3281, 7817, 8833, 47699, 97825}},
-{11588, 17, 49895, {1, 1, 3, 1, 19, 39, 19, 151, 25, 73, 1271, 1435, 3109, 2571, 9191, 48257, 61001}},
-{11589, 17, 49914, {1, 3, 7, 1, 23, 63, 1, 115, 159, 943, 1637, 1443, 809, 10705, 12563, 63111, 96343}},
-{11590, 17, 49931, {1, 1, 7, 15, 5, 17, 65, 157, 45, 199, 371, 2497, 4367, 9109, 31955, 64253, 69279}},
-{11591, 17, 49933, {1, 3, 3, 15, 29, 45, 103, 183, 87, 543, 97, 1545, 2719, 5619, 28871, 4049, 111825}},
-{11592, 17, 49934, {1, 1, 5, 7, 27, 63, 65, 241, 103, 483, 579, 3589, 5673, 13283, 24193, 31993, 72713}},
-{11593, 17, 49941, {1, 3, 7, 9, 21, 35, 59, 183, 459, 211, 753, 3941, 5389, 10535, 2895, 44307, 26577}},
-{11594, 17, 49952, {1, 3, 1, 3, 9, 11, 15, 141, 159, 853, 1975, 4027, 8053, 16129, 32687, 29117, 67507}},
-{11595, 17, 49967, {1, 3, 3, 1, 19, 51, 55, 167, 85, 869, 437, 457, 7879, 2097, 4403, 2139, 10589}},
-{11596, 17, 49969, {1, 3, 3, 15, 19, 33, 63, 229, 197, 269, 1189, 317, 5087, 3147, 787, 64317, 43293}},
-{11597, 17, 49972, {1, 3, 5, 11, 25, 25, 121, 37, 371, 117, 1683, 2921, 671, 11353, 32273, 57597, 56901}},
-{11598, 17, 49976, {1, 3, 7, 7, 9, 37, 91, 159, 195, 1, 77, 2085, 985, 9999, 5639, 25041, 66393}},
-{11599, 17, 49979, {1, 1, 7, 5, 11, 17, 67, 21, 301, 971, 591, 3809, 4795, 12301, 16977, 27495, 98539}},
-{11600, 17, 49999, {1, 3, 1, 9, 13, 53, 83, 205, 111, 609, 631, 23, 1781, 15401, 1563, 34367, 40345}},
-{11601, 17, 50008, {1, 3, 7, 1, 31, 23, 101, 47, 55, 905, 953, 733, 5173, 5937, 17703, 31077, 49707}},
-{11602, 17, 50030, {1, 3, 5, 3, 5, 3, 127, 171, 511, 289, 685, 1157, 6521, 3301, 3017, 58857, 55289}},
-{11603, 17, 50041, {1, 1, 5, 1, 1, 29, 59, 7, 423, 83, 797, 2633, 2015, 1657, 7575, 39819, 181}},
-{11604, 17, 50042, {1, 3, 5, 15, 25, 27, 39, 99, 83, 381, 401, 1033, 867, 15645, 28643, 34917, 53215}},
-{11605, 17, 50044, {1, 3, 5, 15, 17, 1, 67, 63, 355, 841, 681, 2807, 531, 15295, 7859, 64031, 121519}},
-{11606, 17, 50057, {1, 3, 1, 5, 21, 57, 63, 247, 467, 101, 129, 2627, 4763, 479, 11145, 8861, 69803}},
-{11607, 17, 50060, {1, 3, 1, 15, 13, 13, 77, 39, 297, 401, 1653, 659, 3909, 13179, 10477, 45967, 1665}},
-{11608, 17, 50075, {1, 3, 7, 5, 29, 17, 35, 157, 309, 747, 1717, 1279, 6103, 3509, 17499, 22989, 43157}},
-{11609, 17, 50077, {1, 1, 1, 7, 11, 51, 55, 119, 145, 505, 179, 3979, 1237, 12801, 15921, 13561, 69161}},
-{11610, 17, 50091, {1, 1, 5, 7, 13, 9, 73, 203, 247, 257, 1607, 1183, 6237, 12327, 5059, 51645, 88781}},
-{11611, 17, 50096, {1, 3, 5, 9, 1, 9, 27, 59, 235, 81, 689, 2457, 893, 6107, 27643, 40145, 2329}},
-{11612, 17, 50099, {1, 1, 1, 11, 11, 19, 65, 63, 27, 513, 1473, 2955, 8037, 4991, 22035, 41965, 82589}},
-{11613, 17, 50106, {1, 3, 1, 1, 9, 53, 97, 95, 247, 379, 259, 2789, 1433, 15299, 18309, 51813, 63271}},
-{11614, 17, 50116, {1, 1, 5, 1, 11, 41, 69, 193, 391, 27, 1511, 1575, 1161, 14741, 25193, 31149, 79573}},
-{11615, 17, 50133, {1, 3, 7, 15, 19, 31, 101, 9, 111, 427, 531, 1335, 767, 15075, 28373, 54015, 108021}},
-{11616, 17, 50144, {1, 3, 1, 3, 29, 17, 83, 163, 179, 703, 2027, 3027, 5267, 16111, 23929, 9653, 38633}},
-{11617, 17, 50153, {1, 3, 5, 9, 3, 7, 111, 1, 311, 143, 1563, 2605, 301, 2447, 5009, 63767, 37529}},
-{11618, 17, 50154, {1, 3, 5, 5, 23, 23, 97, 11, 475, 741, 1385, 2491, 1717, 14587, 6289, 27651, 21873}},
-{11619, 17, 50168, {1, 1, 5, 1, 31, 31, 119, 93, 209, 861, 1591, 1233, 3469, 9799, 5969, 35965, 110841}},
-{11620, 17, 50179, {1, 1, 5, 13, 19, 31, 69, 107, 423, 651, 757, 665, 1297, 9985, 14983, 3153, 26425}},
-{11621, 17, 50188, {1, 1, 5, 3, 23, 5, 89, 77, 461, 799, 683, 2885, 845, 12847, 26721, 13145, 88689}},
-{11622, 17, 50194, {1, 1, 3, 3, 19, 3, 41, 71, 247, 293, 1047, 2349, 6815, 2413, 13683, 51421, 110737}},
-{11623, 17, 50203, {1, 3, 3, 9, 19, 51, 91, 193, 447, 305, 751, 1757, 1547, 12683, 4645, 39767, 6433}},
-{11624, 17, 50212, {1, 1, 7, 1, 11, 51, 83, 175, 461, 259, 1337, 175, 877, 15895, 22487, 8079, 71291}},
-{11625, 17, 50216, {1, 1, 1, 11, 13, 23, 19, 69, 285, 629, 563, 2433, 815, 4851, 10617, 59949, 59119}},
-{11626, 17, 50222, {1, 3, 5, 5, 19, 49, 47, 27, 343, 579, 197, 35, 7051, 2441, 30091, 9645, 101899}},
-{11627, 17, 50229, {1, 1, 3, 3, 21, 25, 125, 215, 159, 259, 1915, 2193, 4213, 16157, 8665, 10967, 112793}},
-{11628, 17, 50230, {1, 1, 5, 11, 29, 11, 53, 45, 121, 533, 257, 1749, 6311, 7715, 12037, 12003, 38987}},
-{11629, 17, 50234, {1, 3, 1, 11, 25, 31, 93, 191, 231, 801, 361, 1275, 5031, 7927, 26333, 39795, 45875}},
-{11630, 17, 50251, {1, 1, 5, 1, 7, 37, 117, 35, 257, 225, 1769, 1805, 1593, 1507, 27741, 31561, 52107}},
-{11631, 17, 50253, {1, 1, 3, 3, 27, 23, 55, 5, 137, 677, 459, 2821, 1331, 5845, 17751, 17557, 60495}},
-{11632, 17, 50262, {1, 1, 7, 7, 5, 47, 85, 17, 287, 757, 2013, 2233, 2975, 13769, 23199, 32117, 84429}},
-{11633, 17, 50266, {1, 3, 3, 11, 1, 15, 39, 133, 79, 915, 147, 1489, 2319, 13715, 31317, 46785, 64147}},
-{11634, 17, 50272, {1, 1, 3, 11, 1, 25, 83, 69, 395, 537, 895, 565, 2781, 12685, 7831, 36369, 27871}},
-{11635, 17, 50287, {1, 1, 1, 1, 13, 17, 59, 179, 509, 979, 315, 3495, 1773, 16375, 27873, 18065, 20285}},
-{11636, 17, 50295, {1, 1, 5, 1, 27, 31, 39, 251, 121, 899, 751, 1603, 7501, 425, 25791, 35407, 110405}},
-{11637, 17, 50305, {1, 1, 7, 11, 11, 3, 107, 247, 79, 349, 405, 3469, 2201, 8007, 22891, 7901, 11413}},
-{11638, 17, 50306, {1, 1, 1, 11, 15, 55, 121, 151, 127, 239, 115, 611, 6191, 15435, 19831, 64745, 110473}},
-{11639, 17, 50311, {1, 1, 7, 1, 21, 25, 57, 11, 31, 823, 1855, 2337, 7655, 10845, 22167, 36977, 94265}},
-{11640, 17, 50320, {1, 3, 5, 1, 31, 11, 117, 97, 341, 953, 1499, 2487, 559, 8609, 6321, 20669, 28945}},
-{11641, 17, 50323, {1, 3, 7, 1, 5, 27, 15, 161, 83, 139, 75, 3645, 5227, 16199, 1833, 21767, 67579}},
-{11642, 17, 50325, {1, 1, 7, 5, 31, 35, 75, 115, 451, 773, 1987, 1069, 651, 961, 16317, 18391, 56519}},
-{11643, 17, 50339, {1, 1, 1, 1, 31, 11, 23, 255, 215, 251, 867, 2381, 2351, 13189, 17705, 33569, 102361}},
-{11644, 17, 50356, {1, 3, 7, 1, 17, 49, 49, 125, 445, 947, 1985, 2113, 3025, 6277, 1981, 33329, 99413}},
-{11645, 17, 50365, {1, 3, 3, 3, 27, 7, 59, 109, 37, 777, 1359, 2157, 3185, 7317, 30887, 10499, 126563}},
-{11646, 17, 50366, {1, 3, 3, 9, 27, 5, 99, 167, 457, 363, 2031, 1805, 4661, 8695, 4667, 61129, 81143}},
-{11647, 17, 50368, {1, 1, 5, 13, 5, 47, 95, 249, 289, 631, 1739, 2947, 7169, 13019, 10429, 16197, 11539}},
-{11648, 17, 50377, {1, 3, 7, 15, 27, 45, 93, 131, 269, 835, 399, 1133, 6509, 1279, 3635, 17977, 38667}},
-{11649, 17, 50386, {1, 1, 5, 3, 17, 51, 1, 77, 105, 237, 995, 2643, 6921, 6707, 30129, 1543, 94501}},
-{11650, 17, 50397, {1, 1, 1, 7, 29, 1, 117, 33, 141, 805, 1553, 3943, 45, 8911, 24191, 45191, 36525}},
-{11651, 17, 50411, {1, 1, 7, 7, 31, 21, 97, 29, 179, 345, 1059, 701, 7709, 15831, 22923, 57233, 58961}},
-{11652, 17, 50414, {1, 1, 3, 15, 15, 5, 85, 227, 13, 351, 1167, 3283, 6833, 565, 21019, 53249, 4639}},
-{11653, 17, 50425, {1, 3, 3, 5, 27, 1, 5, 89, 101, 295, 481, 2397, 1459, 3729, 3703, 25109, 69237}},
-{11654, 17, 50451, {1, 3, 7, 13, 31, 37, 69, 147, 505, 487, 1701, 1145, 2061, 10067, 18269, 13049, 92091}},
-{11655, 17, 50463, {1, 3, 3, 1, 29, 39, 33, 199, 499, 377, 1081, 3787, 4843, 16287, 23397, 19083, 91381}},
-{11656, 17, 50467, {1, 1, 1, 13, 21, 61, 121, 251, 511, 615, 625, 2245, 5951, 16165, 2155, 37301, 68319}},
-{11657, 17, 50473, {1, 1, 1, 15, 19, 35, 57, 99, 1, 97, 1177, 3109, 7213, 5447, 25251, 24803, 107449}},
-{11658, 17, 50487, {1, 3, 1, 11, 11, 59, 95, 135, 329, 931, 843, 2847, 463, 10725, 3933, 32325, 44545}},
-{11659, 17, 50501, {1, 1, 7, 13, 13, 57, 29, 175, 11, 701, 231, 2907, 5555, 16159, 1249, 38049, 40115}},
-{11660, 17, 50505, {1, 1, 5, 15, 23, 37, 47, 221, 465, 631, 57, 1189, 2083, 6561, 10725, 8015, 21231}},
-{11661, 17, 50514, {1, 3, 7, 5, 9, 25, 31, 47, 139, 639, 999, 2909, 39, 16227, 16967, 30555, 125541}},
-{11662, 17, 50516, {1, 3, 3, 9, 5, 3, 9, 9, 43, 999, 159, 3063, 3661, 7089, 28929, 55305, 105521}},
-{11663, 17, 50536, {1, 3, 1, 11, 17, 7, 3, 57, 457, 753, 135, 3721, 1111, 7267, 12603, 50511, 85433}},
-{11664, 17, 50547, {1, 3, 5, 1, 27, 3, 107, 187, 247, 891, 1311, 423, 1767, 14769, 22119, 36225, 94267}},
-{11665, 17, 50566, {1, 3, 5, 15, 1, 13, 65, 35, 435, 557, 1755, 1343, 2647, 179, 7781, 62903, 18741}},
-{11666, 17, 50572, {1, 1, 7, 15, 29, 57, 63, 227, 407, 163, 1207, 2717, 2731, 1737, 6379, 14937, 46683}},
-{11667, 17, 50583, {1, 1, 1, 9, 25, 35, 93, 1, 77, 677, 875, 3787, 3075, 14033, 23017, 3487, 14999}},
-{11668, 17, 50593, {1, 3, 3, 9, 3, 45, 115, 61, 437, 823, 1401, 459, 301, 5519, 31003, 64499, 1757}},
-{11669, 17, 50599, {1, 3, 1, 11, 23, 37, 69, 215, 197, 961, 1501, 2953, 3679, 6775, 24679, 44215, 52357}},
-{11670, 17, 50613, {1, 3, 1, 15, 29, 23, 1, 133, 451, 677, 687, 1269, 5987, 11975, 11929, 63691, 48683}},
-{11671, 17, 50617, {1, 1, 1, 7, 13, 31, 13, 71, 355, 345, 1193, 3421, 7601, 7413, 6719, 28681, 97605}},
-{11672, 17, 50618, {1, 1, 5, 13, 23, 3, 15, 253, 109, 17, 341, 471, 1131, 14901, 31783, 41369, 64139}},
-{11673, 17, 50620, {1, 1, 3, 1, 25, 25, 85, 157, 443, 83, 269, 3789, 7977, 7783, 28433, 30563, 82805}},
-{11674, 17, 50628, {1, 1, 7, 5, 3, 11, 83, 63, 253, 349, 217, 2733, 4183, 2759, 7617, 41749, 14015}},
-{11675, 17, 50638, {1, 1, 5, 7, 7, 7, 91, 201, 449, 247, 889, 3829, 3529, 14253, 24091, 33521, 6049}},
-{11676, 17, 50652, {1, 1, 3, 7, 25, 7, 123, 161, 227, 965, 511, 619, 4359, 11833, 12859, 26091, 3867}},
-{11677, 17, 50655, {1, 1, 7, 9, 5, 41, 71, 111, 95, 261, 1809, 3835, 7625, 12085, 28885, 64829, 48981}},
-{11678, 17, 50662, {1, 1, 5, 3, 13, 55, 57, 79, 457, 785, 653, 1429, 3879, 13559, 3953, 18205, 5777}},
-{11679, 17, 50665, {1, 3, 5, 9, 23, 25, 107, 255, 151, 191, 119, 3367, 1081, 12691, 3575, 38171, 42573}},
-{11680, 17, 50673, {1, 1, 7, 15, 3, 23, 115, 233, 265, 187, 1961, 1303, 5101, 1035, 6803, 14557, 4527}},
-{11681, 17, 50683, {1, 1, 3, 11, 19, 37, 45, 167, 17, 793, 1361, 3571, 5889, 14421, 20453, 5093, 59927}},
-{11682, 17, 50689, {1, 1, 7, 15, 3, 53, 1, 11, 159, 389, 171, 2351, 7189, 3109, 1541, 53595, 24247}},
-{11683, 17, 50690, {1, 1, 7, 1, 7, 43, 75, 175, 253, 687, 1811, 3277, 447, 8711, 14281, 53265, 7379}},
-{11684, 17, 50692, {1, 1, 5, 3, 21, 45, 113, 25, 309, 31, 1765, 305, 1423, 115, 26421, 50267, 122115}},
-{11685, 17, 50696, {1, 3, 5, 13, 15, 47, 17, 17, 445, 775, 243, 3959, 7263, 9375, 12017, 57399, 58203}},
-{11686, 17, 50704, {1, 3, 3, 1, 31, 37, 37, 213, 125, 929, 243, 1011, 2841, 4499, 16961, 12639, 23381}},
-{11687, 17, 50713, {1, 3, 1, 3, 7, 53, 31, 165, 311, 239, 731, 1759, 1769, 203, 23201, 20267, 33381}},
-{11688, 17, 50719, {1, 3, 3, 11, 1, 1, 73, 57, 497, 693, 693, 861, 5587, 16307, 8559, 28785, 91147}},
-{11689, 17, 50738, {1, 3, 1, 3, 11, 61, 11, 241, 473, 479, 1831, 1771, 25, 10217, 32683, 40165, 98433}},
-{11690, 17, 50757, {1, 1, 5, 3, 17, 51, 39, 27, 189, 631, 689, 2849, 1849, 9143, 19263, 32729, 23031}},
-{11691, 17, 50761, {1, 1, 5, 9, 15, 39, 103, 83, 485, 689, 1561, 55, 5219, 12069, 32225, 7781, 114299}},
-{11692, 17, 50764, {1, 1, 1, 1, 31, 49, 71, 145, 485, 907, 1551, 3931, 4081, 2159, 24747, 6953, 15887}},
-{11693, 17, 50770, {1, 1, 3, 7, 27, 61, 57, 153, 15, 881, 271, 267, 5827, 7625, 18179, 3769, 42211}},
-{11694, 17, 50776, {1, 3, 1, 3, 21, 49, 65, 177, 341, 851, 1825, 3347, 113, 8077, 1117, 9463, 115821}},
-{11695, 17, 50803, {1, 3, 5, 11, 27, 17, 75, 35, 475, 389, 313, 2187, 7005, 911, 21921, 10979, 13705}},
-{11696, 17, 50805, {1, 1, 5, 9, 1, 49, 15, 21, 163, 355, 193, 3473, 4451, 5325, 28343, 251, 125963}},
-{11697, 17, 50806, {1, 3, 7, 1, 9, 63, 9, 129, 453, 887, 1841, 597, 1989, 14755, 7847, 7581, 251}},
-{11698, 17, 50816, {1, 3, 7, 13, 31, 15, 123, 3, 427, 101, 1039, 1355, 3653, 2871, 28937, 31243, 108827}},
-{11699, 17, 50826, {1, 3, 7, 13, 3, 17, 71, 243, 145, 747, 1933, 1105, 455, 6355, 20321, 60075, 31575}},
-{11700, 17, 50840, {1, 3, 5, 5, 11, 25, 95, 85, 461, 459, 313, 173, 1413, 15761, 31481, 63793, 29047}},
-{11701, 17, 50845, {1, 3, 7, 7, 3, 5, 3, 95, 107, 995, 1203, 2965, 2419, 5325, 17667, 40205, 91059}},
-{11702, 17, 50852, {1, 1, 3, 9, 25, 3, 113, 79, 359, 69, 93, 1539, 483, 12701, 19075, 35021, 17929}},
-{11703, 17, 50855, {1, 3, 5, 1, 31, 35, 67, 97, 105, 381, 973, 1355, 3901, 3847, 12343, 64309, 29835}},
-{11704, 17, 50862, {1, 3, 7, 1, 11, 33, 117, 237, 449, 101, 317, 23, 5157, 8187, 28839, 29465, 97485}},
-{11705, 17, 50876, {1, 3, 5, 5, 1, 49, 93, 71, 89, 607, 1143, 3271, 5825, 8529, 18479, 23859, 40571}},
-{11706, 17, 50879, {1, 3, 1, 3, 13, 35, 79, 9, 315, 943, 1199, 1521, 2023, 11745, 8273, 27643, 89545}},
-{11707, 17, 50882, {1, 3, 5, 1, 21, 3, 15, 111, 19, 895, 1539, 3331, 6741, 9087, 5231, 13435, 60645}},
-{11708, 17, 50894, {1, 3, 1, 9, 25, 9, 109, 253, 263, 425, 915, 1955, 659, 6249, 11803, 34523, 22645}},
-{11709, 17, 50899, {1, 1, 1, 9, 15, 23, 13, 79, 369, 689, 565, 743, 3897, 8837, 13753, 17213, 86801}},
-{11710, 17, 50905, {1, 1, 1, 5, 31, 27, 111, 231, 25, 617, 897, 1325, 4885, 5731, 2027, 34639, 67863}},
-{11711, 17, 50924, {1, 1, 3, 13, 1, 9, 29, 23, 95, 113, 1035, 2729, 6555, 335, 24795, 35387, 31301}},
-{11712, 17, 50936, {1, 1, 1, 7, 3, 53, 91, 143, 167, 773, 207, 31, 4993, 7953, 26997, 40031, 113939}},
-{11713, 17, 50944, {1, 1, 3, 5, 17, 43, 121, 231, 411, 575, 1621, 3079, 535, 3313, 19443, 58271, 54207}},
-{11714, 17, 50973, {1, 1, 1, 7, 11, 41, 61, 81, 97, 91, 1987, 981, 3745, 819, 23785, 48331, 63761}},
-{11715, 17, 50974, {1, 1, 5, 13, 7, 29, 25, 73, 355, 669, 241, 65, 2249, 5551, 5217, 58573, 34049}},
-{11716, 17, 51002, {1, 1, 7, 11, 1, 45, 125, 107, 127, 639, 1989, 2727, 2103, 8985, 30249, 40037, 40931}},
-{11717, 17, 51007, {1, 1, 5, 13, 21, 59, 99, 131, 359, 615, 665, 577, 2559, 3555, 11355, 26213, 76427}},
-{11718, 17, 51009, {1, 3, 3, 1, 19, 9, 85, 111, 381, 661, 561, 3419, 1355, 8473, 329, 4989, 9087}},
-{11719, 17, 51029, {1, 1, 7, 5, 11, 23, 33, 95, 343, 9, 1579, 2663, 6245, 267, 7187, 25381, 103181}},
-{11720, 17, 51036, {1, 1, 7, 11, 23, 7, 113, 49, 89, 587, 1221, 409, 873, 15531, 2721, 44519, 25349}},
-{11721, 17, 51063, {1, 3, 3, 1, 17, 17, 45, 239, 453, 639, 1433, 2829, 6009, 12447, 9393, 59979, 93343}},
-{11722, 17, 51067, {1, 1, 3, 15, 19, 61, 125, 101, 219, 327, 1551, 1623, 951, 8379, 21009, 64089, 21891}},
-{11723, 17, 51070, {1, 1, 5, 7, 23, 5, 111, 43, 57, 71, 407, 4027, 4869, 12033, 19941, 51969, 120115}},
-{11724, 17, 51074, {1, 3, 7, 15, 17, 49, 31, 145, 185, 169, 1559, 4011, 5293, 7559, 23487, 12213, 2757}},
-{11725, 17, 51079, {1, 3, 7, 3, 3, 59, 119, 3, 509, 539, 1623, 539, 1405, 3913, 213, 30293, 68497}},
-{11726, 17, 51083, {1, 1, 1, 9, 15, 43, 67, 171, 397, 233, 379, 1681, 6877, 9169, 19667, 1971, 115347}},
-{11727, 17, 51093, {1, 1, 5, 15, 1, 45, 25, 133, 99, 181, 1825, 3485, 5633, 4629, 30181, 15761, 87161}},
-{11728, 17, 51094, {1, 1, 5, 3, 5, 55, 97, 117, 303, 591, 733, 3631, 4305, 169, 5361, 64491, 71793}},
-{11729, 17, 51124, {1, 1, 5, 11, 19, 9, 5, 147, 223, 51, 1763, 3899, 7393, 8107, 19619, 60509, 61427}},
-{11730, 17, 51131, {1, 1, 1, 15, 15, 3, 103, 15, 423, 649, 613, 1387, 6229, 4147, 17517, 225, 35697}},
-{11731, 17, 51151, {1, 3, 1, 3, 21, 57, 77, 193, 203, 649, 631, 3753, 4259, 3983, 27707, 33623, 83857}},
-{11732, 17, 51153, {1, 3, 3, 5, 11, 37, 95, 201, 83, 643, 1639, 153, 7683, 15249, 23859, 27021, 43321}},
-{11733, 17, 51156, {1, 3, 5, 13, 23, 31, 69, 215, 303, 433, 1325, 1013, 2903, 12659, 3813, 34497, 59651}},
-{11734, 17, 51165, {1, 3, 1, 9, 15, 39, 113, 253, 173, 393, 19, 2343, 2939, 8871, 29741, 2141, 121675}},
-{11735, 17, 51175, {1, 1, 7, 9, 7, 9, 91, 211, 169, 299, 507, 2849, 1321, 15397, 23949, 32387, 108691}},
-{11736, 17, 51184, {1, 1, 7, 13, 1, 21, 119, 127, 229, 253, 39, 323, 1831, 121, 17385, 45511, 43743}},
-{11737, 17, 51187, {1, 1, 1, 15, 25, 25, 97, 209, 375, 945, 1343, 2205, 1701, 13085, 25547, 55555, 129395}},
-{11738, 17, 51203, {1, 1, 1, 5, 31, 25, 91, 255, 163, 169, 703, 1607, 4731, 7413, 10013, 10925, 109151}},
-{11739, 17, 51220, {1, 3, 3, 9, 15, 47, 71, 219, 9, 37, 231, 3227, 3447, 8129, 23421, 30113, 120725}},
-{11740, 17, 51224, {1, 3, 3, 11, 15, 47, 93, 203, 299, 865, 151, 3999, 1245, 8487, 13355, 27373, 93583}},
-{11741, 17, 51233, {1, 3, 7, 5, 13, 7, 97, 81, 271, 95, 513, 365, 5039, 403, 5285, 29475, 129347}},
-{11742, 17, 51234, {1, 1, 7, 7, 9, 27, 25, 207, 161, 785, 1453, 3031, 763, 2313, 29347, 61457, 52561}},
-{11743, 17, 51239, {1, 3, 3, 11, 25, 25, 39, 61, 165, 803, 1435, 3643, 299, 13751, 24239, 53955, 94889}},
-{11744, 17, 51246, {1, 3, 5, 9, 9, 13, 63, 221, 123, 947, 905, 913, 953, 7429, 25409, 43017, 2217}},
-{11745, 17, 51248, {1, 1, 3, 3, 31, 19, 107, 211, 503, 675, 1921, 3027, 1273, 5699, 20683, 55605, 119803}},
-{11746, 17, 51251, {1, 1, 3, 3, 9, 17, 115, 183, 325, 259, 2013, 1505, 6999, 11573, 5315, 18731, 9405}},
-{11747, 17, 51257, {1, 3, 1, 5, 29, 37, 81, 145, 5, 851, 1803, 2011, 6655, 3601, 11325, 17137, 68501}},
-{11748, 17, 51266, {1, 3, 5, 1, 25, 51, 111, 19, 75, 765, 1843, 139, 7253, 12967, 13387, 48631, 124881}},
-{11749, 17, 51280, {1, 3, 3, 7, 15, 29, 7, 231, 13, 901, 1913, 3817, 3993, 3049, 32367, 4201, 90837}},
-{11750, 17, 51285, {1, 3, 1, 11, 27, 5, 109, 57, 81, 147, 1141, 2153, 5255, 6367, 189, 5959, 88843}},
-{11751, 17, 51286, {1, 3, 5, 5, 19, 35, 17, 149, 407, 889, 1583, 1727, 465, 10785, 6043, 21785, 80935}},
-{11752, 17, 51289, {1, 1, 3, 7, 15, 21, 105, 249, 427, 491, 923, 3189, 8103, 3875, 18347, 35799, 36703}},
-{11753, 17, 51295, {1, 1, 3, 15, 3, 45, 93, 197, 265, 309, 1909, 1635, 1743, 9499, 21897, 36889, 67449}},
-{11754, 17, 51296, {1, 3, 1, 11, 15, 57, 31, 231, 363, 879, 1377, 1941, 6969, 10721, 21933, 33419, 102939}},
-{11755, 17, 51311, {1, 1, 3, 9, 3, 57, 49, 51, 71, 991, 885, 1367, 2937, 9301, 29893, 9867, 113711}},
-{11756, 17, 51329, {1, 3, 7, 7, 11, 59, 123, 247, 51, 659, 1323, 3371, 3417, 12295, 2021, 62753, 28059}},
-{11757, 17, 51350, {1, 1, 7, 11, 3, 57, 53, 1, 203, 287, 219, 3531, 1365, 6235, 30187, 4479, 29567}},
-{11758, 17, 51356, {1, 1, 7, 9, 5, 41, 41, 39, 137, 495, 149, 2421, 7365, 11381, 25403, 16063, 47491}},
-{11759, 17, 51363, {1, 1, 5, 13, 25, 25, 47, 25, 213, 661, 1345, 883, 7573, 3291, 21303, 8033, 102639}},
-{11760, 17, 51365, {1, 1, 5, 3, 9, 49, 75, 221, 455, 139, 1533, 3155, 1023, 7249, 10129, 63165, 1713}},
-{11761, 17, 51370, {1, 3, 5, 11, 17, 1, 23, 241, 83, 359, 1243, 2791, 2975, 6271, 19035, 55057, 7625}},
-{11762, 17, 51372, {1, 3, 1, 9, 17, 61, 109, 255, 447, 939, 899, 551, 7049, 4247, 17333, 43369, 30105}},
-{11763, 17, 51377, {1, 1, 3, 5, 3, 31, 79, 39, 225, 605, 1893, 3523, 5391, 6879, 18619, 2339, 108295}},
-{11764, 17, 51383, {1, 1, 5, 1, 29, 15, 123, 39, 239, 57, 843, 2799, 4755, 4993, 23383, 45559, 48359}},
-{11765, 17, 51384, {1, 1, 5, 5, 7, 5, 99, 1, 351, 213, 1061, 721, 343, 16071, 29641, 55607, 76727}},
-{11766, 17, 51397, {1, 3, 1, 7, 9, 9, 15, 25, 87, 595, 71, 3769, 2583, 10105, 28639, 48899, 49753}},
-{11767, 17, 51407, {1, 3, 5, 3, 31, 29, 99, 77, 323, 615, 581, 1725, 2471, 16263, 4903, 205, 55441}},
-{11768, 17, 51422, {1, 1, 5, 11, 17, 53, 47, 53, 125, 717, 867, 1251, 4009, 13981, 10165, 4769, 117431}},
-{11769, 17, 51435, {1, 1, 3, 7, 7, 19, 119, 27, 163, 11, 693, 3197, 3981, 12591, 26017, 62113, 48391}},
-{11770, 17, 51440, {1, 1, 3, 15, 13, 17, 13, 81, 19, 821, 677, 233, 5227, 14855, 18269, 18895, 90041}},
-{11771, 17, 51446, {1, 1, 3, 9, 27, 61, 125, 221, 415, 183, 1137, 1879, 3451, 3599, 27317, 53449, 35499}},
-{11772, 17, 51463, {1, 3, 3, 15, 3, 27, 53, 93, 17, 405, 373, 2531, 3121, 2299, 1593, 34623, 102389}},
-{11773, 17, 51467, {1, 1, 1, 11, 23, 19, 85, 87, 209, 17, 1805, 4067, 7401, 6097, 5865, 61383, 42971}},
-{11774, 17, 51491, {1, 1, 7, 9, 29, 43, 99, 125, 385, 347, 97, 1121, 1533, 10545, 17383, 48649, 78443}},
-{11775, 17, 51493, {1, 3, 3, 13, 7, 9, 95, 105, 463, 911, 357, 423, 5701, 2389, 16307, 17817, 108775}},
-{11776, 17, 51494, {1, 3, 5, 11, 21, 21, 79, 53, 511, 995, 1709, 1715, 6031, 10507, 10735, 48817, 28569}},
-{11777, 17, 51508, {1, 3, 5, 7, 31, 49, 43, 109, 267, 981, 1529, 3611, 3379, 1295, 27489, 46721, 58423}},
-{11778, 17, 51518, {1, 3, 3, 11, 3, 31, 21, 3, 79, 31, 1885, 3029, 6337, 15457, 8995, 9955, 95019}},
-{11779, 17, 51520, {1, 1, 7, 13, 9, 9, 77, 73, 111, 769, 813, 1599, 5925, 1063, 12151, 54125, 67723}},
-{11780, 17, 51526, {1, 1, 1, 7, 13, 5, 43, 201, 379, 199, 769, 3227, 3995, 1543, 21903, 10651, 122007}},
-{11781, 17, 51529, {1, 3, 7, 13, 11, 53, 83, 201, 231, 137, 617, 2395, 2513, 6659, 9387, 15653, 96927}},
-{11782, 17, 51530, {1, 3, 1, 13, 29, 19, 97, 57, 231, 985, 805, 1169, 831, 15867, 20195, 53533, 99735}},
-{11783, 17, 51537, {1, 1, 3, 13, 19, 15, 19, 39, 99, 31, 421, 755, 7439, 4927, 19893, 15449, 47937}},
-{11784, 17, 51547, {1, 3, 3, 9, 1, 17, 71, 37, 289, 537, 69, 3687, 6537, 12295, 28403, 6627, 72991}},
-{11785, 17, 51559, {1, 3, 3, 15, 31, 53, 21, 223, 451, 309, 895, 3923, 3149, 5167, 1979, 31425, 53485}},
-{11786, 17, 51565, {1, 3, 1, 1, 29, 7, 5, 197, 445, 455, 185, 633, 897, 4561, 28833, 39477, 46665}},
-{11787, 17, 51568, {1, 1, 3, 9, 29, 19, 45, 239, 323, 1005, 101, 2083, 7403, 10401, 987, 32301, 58141}},
-{11788, 17, 51580, {1, 3, 3, 5, 31, 17, 7, 141, 245, 301, 1607, 3381, 7517, 6663, 6327, 15321, 19963}},
-{11789, 17, 51583, {1, 1, 7, 5, 5, 37, 109, 31, 285, 767, 1689, 2961, 5511, 15415, 32011, 14889, 7237}},
-{11790, 17, 51584, {1, 1, 3, 7, 31, 35, 47, 157, 407, 719, 1213, 1241, 2475, 10321, 11547, 52641, 21603}},
-{11791, 17, 51593, {1, 1, 1, 7, 5, 45, 35, 137, 403, 321, 1151, 529, 6297, 3059, 27791, 18387, 101431}},
-{11792, 17, 51594, {1, 1, 3, 11, 21, 19, 97, 121, 377, 325, 741, 1601, 1115, 6233, 19089, 40491, 53259}},
-{11793, 17, 51607, {1, 1, 1, 9, 3, 13, 83, 243, 443, 91, 1455, 1875, 3327, 7245, 12735, 14943, 44163}},
-{11794, 17, 51608, {1, 3, 5, 11, 1, 15, 107, 211, 25, 125, 623, 1319, 6133, 12177, 1377, 32547, 110919}},
-{11795, 17, 51620, {1, 1, 3, 3, 7, 39, 23, 99, 433, 581, 53, 3421, 733, 12767, 23595, 22957, 88821}},
-{11796, 17, 51624, {1, 1, 1, 13, 5, 53, 103, 127, 409, 379, 1155, 3097, 6529, 11685, 22147, 46003, 59771}},
-{11797, 17, 51642, {1, 3, 3, 3, 15, 37, 9, 67, 237, 79, 697, 1943, 1021, 3217, 16013, 14727, 105729}},
-{11798, 17, 51649, {1, 1, 7, 1, 9, 43, 55, 79, 63, 553, 871, 2881, 6487, 4667, 24263, 41995, 60907}},
-{11799, 17, 51652, {1, 1, 7, 7, 23, 31, 55, 23, 451, 593, 85, 43, 965, 12491, 15121, 16129, 90639}},
-{11800, 17, 51659, {1, 1, 7, 13, 11, 53, 21, 123, 237, 147, 511, 2105, 5961, 4465, 4015, 19069, 89203}},
-{11801, 17, 51661, {1, 3, 5, 1, 1, 39, 59, 239, 391, 91, 923, 85, 1047, 1489, 31119, 58485, 129171}},
-{11802, 17, 51670, {1, 3, 5, 13, 3, 21, 35, 205, 219, 795, 901, 2465, 5887, 275, 22003, 29659, 50589}},
-{11803, 17, 51674, {1, 3, 1, 5, 1, 35, 127, 147, 159, 791, 1643, 1811, 1199, 3851, 9681, 19845, 127075}},
-{11804, 17, 51698, {1, 3, 3, 7, 17, 19, 13, 223, 395, 971, 125, 181, 4455, 13305, 30433, 46161, 122277}},
-{11805, 17, 51707, {1, 3, 1, 3, 19, 1, 15, 71, 425, 459, 655, 2251, 5525, 7611, 5819, 1255, 43107}},
-{11806, 17, 51725, {1, 1, 5, 15, 3, 9, 83, 191, 439, 663, 399, 2263, 1857, 15421, 2079, 2381, 59193}},
-{11807, 17, 51737, {1, 3, 5, 5, 1, 7, 9, 77, 347, 419, 1329, 3173, 7295, 3631, 13435, 3217, 18053}},
-{11808, 17, 51753, {1, 3, 3, 7, 29, 39, 35, 71, 119, 745, 603, 2247, 377, 3297, 30983, 27857, 105739}},
-{11809, 17, 51754, {1, 1, 5, 13, 9, 59, 57, 239, 247, 921, 1383, 2315, 241, 4435, 24661, 6129, 122727}},
-{11810, 17, 51779, {1, 1, 5, 7, 3, 15, 39, 165, 27, 803, 609, 3081, 6009, 12665, 24155, 51647, 3857}},
-{11811, 17, 51791, {1, 3, 5, 11, 27, 41, 61, 255, 195, 169, 557, 1739, 4029, 1791, 471, 16321, 49801}},
-{11812, 17, 51796, {1, 3, 7, 13, 17, 45, 35, 177, 109, 113, 551, 219, 4065, 303, 15489, 25427, 12349}},
-{11813, 17, 51809, {1, 3, 5, 5, 25, 15, 79, 165, 231, 867, 483, 3563, 6611, 11277, 3193, 37455, 127373}},
-{11814, 17, 51816, {1, 3, 3, 11, 25, 21, 47, 255, 27, 543, 485, 2675, 5893, 3029, 3857, 50967, 14681}},
-{11815, 17, 51819, {1, 3, 7, 11, 3, 23, 81, 135, 77, 227, 417, 1733, 5175, 15295, 15985, 50329, 48641}},
-{11816, 17, 51827, {1, 3, 5, 1, 3, 47, 33, 67, 201, 235, 1299, 3703, 1959, 8091, 11115, 10869, 9595}},
-{11817, 17, 51829, {1, 3, 7, 13, 1, 45, 61, 49, 471, 923, 1827, 2175, 1433, 3473, 3781, 7923, 121525}},
-{11818, 17, 51834, {1, 3, 5, 7, 25, 59, 113, 19, 415, 839, 167, 3549, 7435, 6573, 767, 2751, 18383}},
-{11819, 17, 51836, {1, 3, 3, 1, 5, 11, 125, 241, 395, 423, 955, 2551, 963, 8197, 30253, 10473, 28505}},
-{11820, 17, 51846, {1, 1, 1, 3, 5, 31, 69, 103, 153, 505, 1507, 2827, 165, 4943, 8343, 54253, 87593}},
-{11821, 17, 51849, {1, 3, 3, 1, 7, 37, 27, 75, 251, 623, 965, 1907, 6063, 761, 765, 10103, 43479}},
-{11822, 17, 51855, {1, 1, 1, 13, 7, 21, 53, 219, 267, 57, 959, 579, 2951, 13797, 3249, 29895, 47467}},
-{11823, 17, 51858, {1, 1, 5, 9, 13, 7, 85, 107, 3, 635, 1235, 1339, 3263, 3895, 25911, 7521, 34149}},
-{11824, 17, 51869, {1, 1, 5, 15, 29, 37, 73, 43, 413, 993, 499, 719, 1557, 14397, 11245, 58197, 127901}},
-{11825, 17, 51870, {1, 1, 5, 15, 9, 37, 87, 57, 63, 337, 927, 1887, 6407, 11237, 23233, 53567, 120449}},
-{11826, 17, 51874, {1, 1, 3, 7, 27, 11, 85, 227, 159, 849, 647, 1977, 4623, 7343, 8089, 4251, 26609}},
-{11827, 17, 51918, {1, 1, 5, 11, 11, 3, 105, 191, 189, 627, 367, 3935, 6647, 13069, 26195, 23137, 56427}},
-{11828, 17, 51926, {1, 1, 3, 3, 29, 51, 39, 3, 437, 1011, 1061, 1747, 3051, 11165, 8155, 9723, 41035}},
-{11829, 17, 51932, {1, 3, 7, 15, 9, 43, 79, 195, 265, 395, 1349, 337, 911, 15767, 3593, 42859, 70181}},
-{11830, 17, 51936, {1, 3, 7, 7, 11, 47, 11, 85, 489, 801, 1177, 3861, 3517, 9209, 27505, 12291, 35691}},
-{11831, 17, 51948, {1, 1, 3, 9, 15, 61, 71, 123, 287, 419, 1079, 3489, 3519, 12739, 21341, 24323, 33961}},
-{11832, 17, 51954, {1, 3, 7, 3, 9, 17, 119, 137, 389, 391, 601, 1875, 2197, 5271, 13289, 43597, 43279}},
-{11833, 17, 51959, {1, 3, 7, 15, 29, 35, 41, 171, 183, 701, 1673, 981, 5479, 21, 11353, 64953, 88189}},
-{11834, 17, 51971, {1, 3, 3, 13, 15, 35, 35, 81, 297, 245, 475, 393, 5401, 12369, 21129, 65213, 125013}},
-{11835, 17, 51983, {1, 1, 7, 13, 15, 57, 25, 143, 389, 111, 1219, 2195, 769, 9005, 10367, 39435, 3631}},
-{11836, 17, 51992, {1, 3, 3, 13, 9, 29, 9, 47, 127, 377, 1195, 1221, 5751, 15481, 10537, 29909, 112691}},
-{11837, 17, 51997, {1, 1, 3, 5, 17, 47, 29, 1, 299, 651, 1023, 1601, 5917, 3781, 18421, 42393, 51789}},
-{11838, 17, 52016, {1, 3, 3, 15, 31, 51, 101, 147, 367, 159, 359, 705, 3773, 8649, 31373, 5733, 58287}},
-{11839, 17, 52021, {1, 3, 5, 11, 11, 51, 55, 79, 147, 917, 1945, 1725, 289, 12777, 30099, 3013, 91527}},
-{11840, 17, 52031, {1, 1, 7, 13, 1, 51, 33, 27, 169, 573, 117, 2479, 761, 1283, 32723, 13589, 88821}},
-{11841, 17, 52033, {1, 1, 1, 3, 23, 13, 33, 207, 137, 391, 1309, 4093, 6889, 827, 9331, 57113, 110193}},
-{11842, 17, 52034, {1, 1, 1, 13, 15, 57, 115, 53, 59, 443, 1, 3545, 6923, 6603, 8631, 41703, 8519}},
-{11843, 17, 52048, {1, 1, 5, 5, 25, 29, 53, 153, 107, 423, 1829, 2469, 1843, 889, 31727, 20701, 6343}},
-{11844, 17, 52053, {1, 1, 7, 13, 11, 41, 7, 219, 77, 663, 329, 2639, 1111, 1293, 16771, 20731, 46973}},
-{11845, 17, 52057, {1, 3, 3, 15, 23, 19, 45, 107, 111, 155, 1595, 1821, 471, 6089, 21587, 49259, 85393}},
-{11846, 17, 52067, {1, 3, 1, 3, 27, 21, 39, 227, 359, 885, 449, 2615, 3519, 5377, 16017, 57159, 82399}},
-{11847, 17, 52076, {1, 3, 3, 15, 31, 33, 77, 33, 87, 821, 701, 2859, 1777, 3007, 16757, 5447, 3557}},
-{11848, 17, 52079, {1, 1, 1, 15, 11, 31, 127, 79, 363, 341, 169, 3451, 6351, 6867, 13511, 833, 103151}},
-{11849, 17, 52081, {1, 3, 5, 7, 27, 23, 5, 67, 159, 535, 103, 843, 8187, 6891, 19169, 22565, 95255}},
-{11850, 17, 52109, {1, 3, 5, 5, 15, 27, 53, 49, 343, 815, 1203, 1031, 6359, 1337, 1629, 47783, 103391}},
-{11851, 17, 52127, {1, 3, 1, 1, 13, 19, 51, 185, 45, 549, 619, 2247, 2541, 10421, 31507, 60785, 87139}},
-{11852, 17, 52128, {1, 3, 1, 15, 29, 9, 47, 127, 41, 767, 1375, 2183, 7169, 12855, 15021, 377, 69327}},
-{11853, 17, 52133, {1, 1, 3, 9, 5, 23, 23, 203, 101, 809, 1155, 2885, 3901, 3081, 1827, 65373, 106133}},
-{11854, 17, 52148, {1, 3, 3, 13, 3, 21, 73, 135, 353, 905, 1757, 1361, 3801, 15541, 2261, 17159, 18037}},
-{11855, 17, 52155, {1, 1, 7, 7, 27, 23, 57, 33, 225, 407, 1709, 1159, 6353, 13341, 15883, 17339, 50423}},
-{11856, 17, 52157, {1, 1, 3, 15, 13, 21, 33, 91, 183, 975, 1623, 3187, 5495, 8947, 7031, 19687, 104483}},
-{11857, 17, 52172, {1, 3, 5, 7, 17, 25, 77, 1, 335, 85, 1783, 2617, 4463, 3807, 12883, 24487, 66205}},
-{11858, 17, 52178, {1, 1, 3, 15, 23, 37, 83, 93, 211, 757, 903, 2681, 49, 435, 21057, 63635, 36489}},
-{11859, 17, 52184, {1, 3, 1, 13, 3, 45, 63, 57, 65, 21, 627, 1467, 51, 15887, 27465, 59227, 108233}},
-{11860, 17, 52199, {1, 1, 7, 5, 15, 41, 53, 57, 301, 677, 803, 1675, 6937, 3159, 14281, 22355, 37783}},
-{11861, 17, 52200, {1, 1, 5, 13, 15, 43, 39, 245, 191, 875, 1505, 2085, 3903, 185, 24461, 28939, 98771}},
-{11862, 17, 52205, {1, 1, 7, 9, 17, 25, 29, 31, 439, 159, 533, 3177, 4155, 403, 23735, 61817, 121909}},
-{11863, 17, 52206, {1, 1, 3, 15, 29, 43, 111, 47, 483, 513, 63, 2423, 4979, 5159, 15499, 33391, 51575}},
-{11864, 17, 52232, {1, 1, 5, 15, 15, 43, 13, 41, 445, 929, 1365, 2023, 6173, 6067, 30969, 51457, 51179}},
-{11865, 17, 52237, {1, 3, 3, 11, 15, 17, 93, 235, 159, 599, 635, 1113, 1017, 7413, 7737, 20051, 79127}},
-{11866, 17, 52243, {1, 1, 1, 15, 5, 19, 81, 65, 479, 119, 1831, 2515, 2929, 15395, 31607, 29969, 49935}},
-{11867, 17, 52246, {1, 3, 1, 13, 23, 47, 45, 151, 51, 217, 803, 3265, 5907, 14371, 8287, 25659, 27655}},
-{11868, 17, 52252, {1, 1, 1, 13, 13, 53, 11, 63, 501, 487, 1683, 1147, 4693, 2761, 19359, 2215, 112393}},
-{11869, 17, 52261, {1, 3, 3, 1, 31, 15, 61, 237, 129, 119, 135, 39, 6509, 3753, 16997, 3841, 24521}},
-{11870, 17, 52265, {1, 3, 5, 7, 5, 27, 113, 251, 217, 923, 229, 2259, 5241, 6331, 6773, 41929, 89605}},
-{11871, 17, 52266, {1, 1, 5, 9, 17, 41, 21, 185, 95, 137, 1151, 195, 913, 531, 15731, 22893, 93521}},
-{11872, 17, 52273, {1, 1, 5, 1, 29, 57, 123, 11, 345, 581, 227, 1539, 7527, 8537, 16429, 8437, 18953}},
-{11873, 17, 52274, {1, 1, 3, 7, 7, 21, 103, 239, 115, 513, 1287, 3717, 331, 5453, 18943, 17247, 64975}},
-{11874, 17, 52288, {1, 3, 7, 11, 21, 37, 79, 83, 93, 155, 1297, 1371, 1109, 6569, 21137, 29237, 24007}},
-{11875, 17, 52300, {1, 1, 1, 13, 17, 11, 127, 89, 397, 497, 1017, 721, 2837, 5623, 31745, 52243, 107225}},
-{11876, 17, 52303, {1, 1, 7, 9, 15, 43, 29, 215, 449, 233, 313, 2587, 2903, 2735, 4539, 50481, 85279}},
-{11877, 17, 52321, {1, 1, 3, 15, 13, 35, 109, 211, 299, 255, 1595, 533, 1801, 13965, 25277, 52347, 13447}},
-{11878, 17, 52322, {1, 1, 1, 15, 9, 23, 115, 119, 207, 973, 1339, 1315, 6465, 9917, 4593, 65435, 2515}},
-{11879, 17, 52328, {1, 3, 3, 3, 7, 25, 115, 115, 213, 845, 1445, 1217, 1563, 12491, 5197, 44409, 79895}},
-{11880, 17, 52333, {1, 1, 1, 3, 9, 33, 31, 203, 19, 895, 1145, 2893, 4807, 7501, 6999, 54883, 13797}},
-{11881, 17, 52351, {1, 1, 3, 1, 19, 51, 73, 29, 451, 533, 83, 2477, 335, 9703, 9747, 57427, 69443}},
-{11882, 17, 52357, {1, 1, 7, 5, 21, 11, 53, 133, 165, 291, 591, 1419, 3661, 4697, 21363, 53467, 84063}},
-{11883, 17, 52372, {1, 1, 7, 3, 13, 7, 85, 49, 193, 289, 1531, 709, 2351, 12085, 28553, 57145, 129517}},
-{11884, 17, 52381, {1, 1, 1, 1, 17, 19, 13, 213, 75, 977, 811, 1813, 7293, 13795, 28569, 28133, 11949}},
-{11885, 17, 52386, {1, 1, 5, 1, 27, 11, 47, 89, 271, 65, 1651, 2331, 3289, 6227, 15027, 19959, 22945}},
-{11886, 17, 52395, {1, 3, 7, 9, 17, 37, 17, 245, 249, 501, 405, 951, 3005, 9757, 10265, 35575, 70529}},
-{11887, 17, 52403, {1, 3, 1, 15, 21, 47, 15, 75, 113, 45, 125, 1393, 3361, 13477, 24325, 39743, 67409}},
-{11888, 17, 52423, {1, 3, 5, 1, 13, 3, 33, 51, 463, 241, 1421, 1607, 3937, 3405, 26653, 33955, 97915}},
-{11889, 17, 52427, {1, 3, 7, 13, 29, 17, 41, 193, 461, 787, 459, 4019, 1887, 13831, 9387, 25215, 69801}},
-{11890, 17, 52432, {1, 3, 1, 11, 31, 55, 13, 235, 85, 953, 109, 233, 1893, 13225, 26165, 59237, 15845}},
-{11891, 17, 52438, {1, 1, 1, 13, 11, 43, 127, 193, 143, 831, 875, 2471, 7011, 3063, 21979, 42113, 80581}},
-{11892, 17, 52444, {1, 3, 7, 1, 5, 1, 63, 55, 349, 525, 441, 2695, 3301, 15737, 13355, 16727, 25001}},
-{11893, 17, 52457, {1, 3, 7, 7, 31, 23, 87, 99, 331, 101, 1341, 3, 1447, 9507, 18627, 2503, 57597}},
-{11894, 17, 52468, {1, 1, 1, 9, 11, 19, 89, 141, 269, 31, 1933, 429, 7765, 5905, 15327, 25913, 17281}},
-{11895, 17, 52480, {1, 3, 1, 9, 23, 61, 75, 15, 121, 635, 1409, 615, 7841, 11993, 1637, 26073, 70763}},
-{11896, 17, 52498, {1, 3, 3, 1, 5, 63, 85, 3, 443, 87, 1201, 275, 3457, 16187, 26839, 16593, 36335}},
-{11897, 17, 52516, {1, 1, 5, 5, 27, 61, 1, 145, 287, 563, 1135, 2703, 733, 10209, 3937, 23807, 56857}},
-{11898, 17, 52520, {1, 3, 3, 7, 1, 41, 97, 155, 305, 395, 1607, 1171, 1061, 12301, 8041, 12111, 66831}},
-{11899, 17, 52525, {1, 3, 7, 15, 9, 61, 127, 225, 125, 231, 87, 2433, 6951, 2999, 24859, 61685, 111943}},
-{11900, 17, 52531, {1, 3, 5, 15, 13, 39, 87, 57, 305, 469, 1929, 1559, 1383, 2779, 3883, 845, 45181}},
-{11901, 17, 52540, {1, 1, 1, 15, 19, 1, 23, 41, 207, 731, 501, 1147, 6543, 5011, 483, 56889, 48993}},
-{11902, 17, 52545, {1, 3, 3, 15, 21, 35, 75, 129, 441, 497, 953, 201, 6849, 2893, 6351, 62163, 84127}},
-{11903, 17, 52546, {1, 1, 1, 9, 21, 31, 91, 79, 345, 649, 1529, 805, 4931, 12887, 30167, 52305, 92561}},
-{11904, 17, 52552, {1, 1, 5, 1, 3, 21, 121, 223, 67, 185, 801, 889, 7443, 8419, 19929, 11451, 11487}},
-{11905, 17, 52557, {1, 1, 3, 15, 21, 51, 119, 31, 197, 773, 617, 2055, 799, 9105, 12353, 33635, 27589}},
-{11906, 17, 52569, {1, 3, 5, 3, 27, 11, 41, 105, 289, 877, 1175, 3111, 3161, 12537, 18001, 38061, 59089}},
-{11907, 17, 52575, {1, 3, 3, 5, 3, 27, 101, 253, 225, 915, 1757, 1601, 3391, 10443, 3983, 58427, 93391}},
-{11908, 17, 52582, {1, 3, 1, 7, 9, 43, 85, 115, 169, 285, 1267, 3791, 2701, 5599, 10099, 48105, 45219}},
-{11909, 17, 52594, {1, 1, 7, 13, 25, 57, 35, 223, 265, 451, 1913, 2715, 8017, 3725, 7079, 34611, 61159}},
-{11910, 17, 52615, {1, 1, 3, 7, 23, 27, 93, 195, 449, 845, 865, 655, 4263, 12743, 7467, 7929, 7095}},
-{11911, 17, 52619, {1, 3, 5, 5, 29, 51, 109, 123, 227, 693, 2033, 3829, 7187, 4027, 17861, 45093, 7355}},
-{11912, 17, 52624, {1, 1, 1, 11, 27, 31, 127, 75, 443, 479, 865, 1377, 711, 3791, 27235, 17405, 25975}},
-{11913, 17, 52645, {1, 3, 5, 7, 1, 49, 79, 167, 471, 453, 211, 265, 8163, 6517, 3413, 17283, 51961}},
-{11914, 17, 52663, {1, 3, 1, 5, 17, 29, 15, 239, 385, 239, 425, 2197, 3553, 14913, 14889, 31645, 67477}},
-{11915, 17, 52664, {1, 3, 3, 5, 1, 11, 25, 105, 367, 253, 1395, 2077, 2613, 4535, 18215, 37657, 48283}},
-{11916, 17, 52675, {1, 3, 3, 1, 1, 41, 7, 161, 437, 659, 833, 3175, 2063, 14497, 6655, 8817, 127321}},
-{11917, 17, 52687, {1, 3, 1, 11, 17, 27, 3, 51, 75, 183, 1889, 287, 5429, 14007, 14445, 47395, 94543}},
-{11918, 17, 52696, {1, 1, 7, 13, 29, 9, 109, 19, 73, 3, 1529, 457, 6413, 4113, 14733, 24455, 44623}},
-{11919, 17, 52701, {1, 3, 1, 15, 15, 31, 83, 25, 263, 229, 1801, 377, 1703, 8571, 10393, 52021, 100937}},
-{11920, 17, 52706, {1, 3, 5, 9, 25, 57, 79, 19, 117, 437, 275, 3439, 6393, 2111, 8317, 3521, 96927}},
-{11921, 17, 52708, {1, 3, 1, 13, 27, 43, 103, 171, 361, 949, 347, 809, 5819, 2763, 10447, 35129, 46985}},
-{11922, 17, 52711, {1, 3, 5, 11, 17, 1, 27, 37, 473, 851, 1057, 831, 4373, 5179, 18193, 48731, 64317}},
-{11923, 17, 52726, {1, 3, 1, 7, 17, 5, 19, 217, 439, 549, 1983, 2473, 6059, 5271, 10279, 7793, 114357}},
-{11924, 17, 52748, {1, 3, 1, 5, 25, 19, 99, 65, 507, 527, 825, 2517, 2299, 1725, 9913, 5779, 12207}},
-{11925, 17, 52754, {1, 3, 1, 1, 29, 41, 119, 27, 411, 475, 461, 1885, 2339, 4945, 24665, 13621, 78129}},
-{11926, 17, 52756, {1, 3, 1, 11, 27, 29, 119, 155, 487, 29, 1545, 675, 1417, 6119, 12451, 21345, 39377}},
-{11927, 17, 52759, {1, 1, 3, 7, 19, 5, 111, 227, 49, 307, 549, 737, 4793, 13885, 22971, 18653, 69573}},
-{11928, 17, 52769, {1, 3, 3, 1, 27, 59, 87, 7, 379, 497, 903, 591, 6105, 1957, 25849, 55957, 120181}},
-{11929, 17, 52784, {1, 3, 5, 15, 19, 31, 43, 1, 35, 341, 311, 1343, 3625, 16181, 31047, 59679, 89231}},
-{11930, 17, 52790, {1, 1, 1, 15, 21, 19, 93, 229, 49, 597, 1465, 2027, 5935, 12269, 20239, 17861, 26311}},
-{11931, 17, 52804, {1, 1, 1, 1, 3, 31, 115, 87, 129, 419, 871, 2469, 3807, 4473, 25025, 36923, 67959}},
-{11932, 17, 52807, {1, 1, 1, 3, 23, 31, 41, 247, 295, 369, 1131, 2183, 8097, 7609, 4387, 37565, 50177}},
-{11933, 17, 52808, {1, 3, 1, 11, 9, 17, 111, 249, 417, 775, 217, 1435, 6295, 5065, 2967, 55361, 91933}},
-{11934, 17, 52819, {1, 3, 5, 7, 19, 21, 71, 219, 411, 31, 335, 2915, 3687, 5691, 12405, 34659, 76721}},
-{11935, 17, 52826, {1, 3, 5, 13, 29, 31, 95, 203, 149, 399, 547, 2529, 2485, 3371, 20219, 33647, 34217}},
-{11936, 17, 52828, {1, 3, 5, 13, 31, 41, 97, 115, 427, 35, 1319, 2335, 715, 2541, 4507, 49395, 33895}},
-{11937, 17, 52832, {1, 3, 7, 15, 3, 49, 3, 49, 153, 93, 1343, 1035, 5685, 15855, 15751, 27663, 99553}},
-{11938, 17, 52835, {1, 1, 7, 5, 27, 7, 53, 135, 453, 981, 1767, 3503, 1259, 11973, 23259, 41051, 96593}},
-{11939, 17, 52849, {1, 1, 7, 9, 5, 59, 57, 141, 41, 639, 1681, 145, 7019, 6621, 14221, 12051, 71871}},
-{11940, 17, 52859, {1, 1, 3, 1, 13, 39, 7, 187, 7, 919, 1555, 2111, 6507, 2099, 10643, 22851, 82033}},
-{11941, 17, 52877, {1, 3, 7, 9, 25, 59, 27, 225, 239, 715, 1115, 2309, 7785, 11849, 8991, 54305, 107305}},
-{11942, 17, 52880, {1, 1, 7, 11, 21, 51, 1, 223, 481, 195, 2005, 2651, 6797, 12201, 11013, 1843, 65167}},
-{11943, 17, 52896, {1, 3, 3, 11, 27, 3, 117, 5, 255, 595, 399, 1329, 1437, 12061, 32679, 16655, 76235}},
-{11944, 17, 52899, {1, 1, 7, 13, 21, 1, 35, 159, 329, 37, 1247, 2663, 3889, 14603, 25799, 45363, 87963}},
-{11945, 17, 52905, {1, 1, 7, 7, 7, 11, 53, 215, 351, 329, 1039, 969, 4449, 14785, 28617, 25953, 78663}},
-{11946, 17, 52913, {1, 1, 7, 7, 27, 17, 19, 223, 143, 433, 789, 1941, 5527, 711, 25097, 4571, 121975}},
-{11947, 17, 52933, {1, 3, 1, 13, 11, 47, 31, 249, 325, 1003, 509, 2741, 3953, 1691, 12661, 16097, 80211}},
-{11948, 17, 52934, {1, 3, 7, 9, 27, 11, 21, 129, 25, 57, 1523, 3631, 2639, 2541, 14249, 34539, 70551}},
-{11949, 17, 52938, {1, 1, 5, 3, 31, 47, 47, 73, 71, 783, 1353, 2157, 2563, 14015, 997, 31611, 118649}},
-{11950, 17, 52957, {1, 1, 5, 5, 25, 35, 25, 207, 349, 503, 121, 3455, 5783, 10899, 12745, 35117, 36679}},
-{11951, 17, 52979, {1, 3, 1, 3, 11, 39, 123, 177, 19, 441, 1979, 1257, 1351, 4253, 15145, 44559, 59379}},
-{11952, 17, 52981, {1, 3, 7, 3, 7, 35, 41, 203, 439, 1013, 1055, 1165, 1043, 11183, 1795, 31253, 113693}},
-{11953, 17, 52986, {1, 3, 1, 13, 7, 43, 57, 1, 229, 345, 631, 841, 7923, 5971, 20489, 47917, 66833}},
-{11954, 17, 53005, {1, 1, 1, 15, 27, 5, 31, 117, 153, 755, 1207, 619, 8185, 4329, 9979, 57255, 79045}},
-{11955, 17, 53008, {1, 3, 3, 7, 23, 1, 7, 227, 337, 417, 1895, 765, 7799, 13599, 27253, 4485, 112391}},
-{11956, 17, 53024, {1, 3, 5, 13, 27, 63, 5, 87, 101, 351, 953, 2235, 1587, 5479, 26529, 34165, 83303}},
-{11957, 17, 53029, {1, 1, 5, 15, 1, 43, 63, 193, 143, 711, 1779, 3531, 1355, 16253, 14595, 32343, 131021}},
-{11958, 17, 53054, {1, 1, 1, 9, 29, 37, 29, 71, 11, 877, 1301, 2415, 5593, 1855, 25223, 6805, 12901}},
-{11959, 17, 53073, {1, 1, 7, 9, 31, 5, 49, 63, 185, 373, 129, 1695, 7841, 4477, 17809, 42771, 120221}},
-{11960, 17, 53083, {1, 1, 5, 3, 15, 43, 49, 45, 47, 775, 699, 2787, 7831, 4189, 18317, 63933, 83669}},
-{11961, 17, 53086, {1, 3, 5, 3, 23, 33, 85, 255, 119, 685, 1245, 1647, 1999, 13063, 9241, 49017, 32619}},
-{11962, 17, 53095, {1, 1, 7, 15, 29, 15, 125, 233, 189, 411, 1251, 3459, 7213, 10081, 4403, 56819, 17103}},
-{11963, 17, 53102, {1, 3, 3, 11, 21, 13, 93, 125, 213, 793, 1057, 2363, 661, 12213, 2259, 3787, 91451}},
-{11964, 17, 53107, {1, 3, 5, 5, 19, 35, 5, 153, 507, 691, 1743, 1777, 7579, 14229, 10155, 18529, 35945}},
-{11965, 17, 53126, {1, 3, 7, 5, 27, 35, 13, 77, 189, 793, 877, 643, 2787, 5817, 22589, 58363, 49059}},
-{11966, 17, 53130, {1, 3, 7, 9, 9, 37, 21, 251, 119, 895, 1023, 91, 4317, 10943, 7355, 36961, 36903}},
-{11967, 17, 53138, {1, 3, 3, 13, 19, 49, 15, 105, 399, 29, 1903, 3503, 3453, 15429, 31503, 57815, 34009}},
-{11968, 17, 53144, {1, 1, 5, 1, 19, 35, 49, 97, 335, 665, 1871, 887, 4713, 517, 9571, 41601, 9673}},
-{11969, 17, 53156, {1, 3, 5, 13, 29, 45, 111, 233, 251, 407, 1135, 2791, 6525, 11633, 22295, 65381, 117511}},
-{11970, 17, 53163, {1, 1, 3, 3, 17, 7, 65, 43, 391, 91, 315, 3559, 479, 7337, 25629, 785, 19855}},
-{11971, 17, 53165, {1, 1, 5, 9, 29, 31, 67, 17, 381, 875, 1001, 415, 2263, 4415, 11263, 309, 117623}},
-{11972, 17, 53173, {1, 1, 7, 11, 25, 1, 59, 61, 247, 649, 687, 907, 1037, 13935, 7229, 39769, 92755}},
-{11973, 17, 53177, {1, 3, 5, 15, 21, 51, 27, 79, 343, 785, 1567, 1349, 7991, 8531, 11243, 61351, 21297}},
-{11974, 17, 53183, {1, 1, 1, 3, 31, 41, 67, 169, 83, 959, 813, 1953, 2467, 12369, 31431, 50761, 75731}},
-{11975, 17, 53192, {1, 1, 5, 11, 25, 37, 83, 163, 3, 161, 1249, 3009, 7167, 5473, 10561, 44899, 130879}},
-{11976, 17, 53195, {1, 1, 7, 11, 9, 61, 61, 113, 81, 205, 731, 3887, 5525, 13415, 25181, 11557, 59343}},
-{11977, 17, 53200, {1, 3, 7, 5, 19, 27, 107, 89, 295, 715, 1439, 1285, 5813, 8895, 7233, 32905, 3273}},
-{11978, 17, 53212, {1, 1, 5, 1, 29, 11, 125, 253, 445, 295, 1721, 1271, 2203, 2215, 7613, 55655, 112157}},
-{11979, 17, 53219, {1, 1, 5, 11, 11, 13, 111, 55, 19, 551, 1365, 477, 2513, 12311, 22485, 23291, 92447}},
-{11980, 17, 53221, {1, 1, 7, 11, 9, 5, 3, 109, 507, 441, 1767, 1781, 3077, 219, 29293, 21237, 71159}},
-{11981, 17, 53245, {1, 1, 3, 11, 3, 45, 99, 113, 367, 569, 1907, 1281, 51, 13693, 14639, 32999, 77461}},
-{11982, 17, 53254, {1, 3, 5, 11, 5, 19, 97, 11, 473, 937, 1623, 1507, 3245, 9331, 16005, 37505, 40085}},
-{11983, 17, 53257, {1, 1, 7, 13, 21, 61, 103, 111, 35, 141, 61, 1043, 1989, 1311, 29021, 2617, 89915}},
-{11984, 17, 53265, {1, 3, 7, 15, 19, 31, 39, 175, 371, 459, 1293, 1645, 1125, 1199, 4811, 55721, 76071}},
-{11985, 17, 53266, {1, 1, 7, 3, 3, 35, 17, 7, 91, 317, 1615, 3559, 191, 2579, 15027, 58711, 36009}},
-{11986, 17, 53268, {1, 1, 1, 13, 1, 27, 45, 87, 443, 443, 853, 3917, 1437, 4053, 14861, 2897, 109853}},
-{11987, 17, 53275, {1, 1, 5, 3, 21, 47, 73, 195, 115, 517, 1781, 2341, 805, 5679, 12053, 29113, 100479}},
-{11988, 17, 53277, {1, 1, 7, 1, 25, 27, 61, 167, 203, 57, 527, 1071, 7131, 8403, 9943, 11503, 33081}},
-{11989, 17, 53284, {1, 1, 5, 13, 31, 43, 35, 195, 177, 229, 1401, 4011, 2363, 15787, 21125, 32103, 62337}},
-{11990, 17, 53294, {1, 1, 5, 11, 19, 13, 3, 249, 119, 35, 747, 1419, 5451, 13043, 19813, 54859, 94825}},
-{11991, 17, 53308, {1, 3, 1, 9, 17, 13, 51, 125, 391, 157, 1199, 1805, 1763, 11831, 20915, 38547, 14221}},
-{11992, 17, 53314, {1, 1, 7, 1, 23, 61, 25, 69, 435, 183, 1379, 1211, 5529, 9447, 4575, 14127, 91867}},
-{11993, 17, 53319, {1, 3, 3, 15, 11, 15, 101, 135, 419, 685, 1097, 787, 2045, 3393, 26221, 23653, 116917}},
-{11994, 17, 53326, {1, 3, 1, 11, 29, 23, 13, 153, 27, 683, 1569, 413, 261, 10291, 23763, 15579, 39337}},
-{11995, 17, 53328, {1, 3, 7, 7, 19, 23, 121, 23, 339, 165, 1137, 2791, 319, 16111, 14847, 28171, 79237}},
-{11996, 17, 53340, {1, 3, 1, 5, 9, 59, 33, 19, 191, 707, 1883, 1683, 1161, 12905, 12299, 22201, 19811}},
-{11997, 17, 53364, {1, 3, 1, 3, 27, 11, 69, 199, 415, 251, 1079, 1709, 4539, 7867, 21321, 33617, 53459}},
-{11998, 17, 53367, {1, 1, 3, 9, 19, 59, 21, 95, 275, 213, 1819, 721, 6271, 11845, 9573, 16105, 12755}},
-{11999, 17, 53377, {1, 1, 1, 15, 23, 7, 91, 235, 43, 95, 913, 715, 3229, 12339, 23089, 30963, 129525}},
-{12000, 17, 53395, {1, 1, 7, 9, 7, 41, 43, 131, 485, 621, 1293, 1955, 5215, 6545, 29225, 53587, 46901}},
-{12001, 17, 53398, {1, 3, 1, 5, 7, 57, 97, 199, 225, 707, 1223, 1829, 497, 12587, 24551, 12907, 82411}},
-{12002, 17, 53407, {1, 1, 3, 7, 21, 9, 63, 15, 263, 957, 155, 4021, 4455, 2025, 16981, 19743, 88619}},
-{12003, 17, 53413, {1, 1, 7, 5, 31, 3, 27, 45, 369, 747, 1559, 1429, 8049, 15069, 19897, 50067, 52861}},
-{12004, 17, 53414, {1, 1, 5, 13, 23, 35, 91, 139, 73, 275, 207, 2709, 3801, 12755, 19155, 61629, 5513}},
-{12005, 17, 53417, {1, 1, 5, 7, 5, 25, 33, 45, 325, 847, 81, 891, 3191, 14115, 25095, 39867, 3839}},
-{12006, 17, 53443, {1, 3, 5, 13, 9, 31, 31, 113, 507, 833, 691, 2041, 4873, 81, 21365, 35265, 37627}},
-{12007, 17, 53473, {1, 1, 5, 13, 9, 51, 127, 131, 285, 683, 593, 3411, 6685, 3601, 12255, 8337, 80597}},
-{12008, 17, 53476, {1, 1, 5, 15, 29, 13, 79, 199, 157, 421, 1697, 2063, 2213, 4141, 21045, 45785, 124023}},
-{12009, 17, 53480, {1, 3, 1, 11, 19, 5, 79, 57, 71, 373, 487, 671, 3671, 9093, 20989, 48477, 104951}},
-{12010, 17, 53486, {1, 3, 5, 15, 13, 7, 39, 243, 507, 739, 1905, 3431, 4141, 9345, 27877, 64735, 112997}},
-{12011, 17, 53506, {1, 3, 3, 5, 17, 25, 31, 243, 393, 61, 199, 2825, 6981, 5887, 22289, 9201, 77689}},
-{12012, 17, 53542, {1, 3, 5, 15, 15, 63, 77, 39, 463, 883, 671, 3285, 6925, 15085, 1665, 64005, 130619}},
-{12013, 17, 53546, {1, 3, 3, 11, 21, 15, 7, 115, 9, 879, 1097, 3993, 3929, 9809, 22105, 9549, 31819}},
-{12014, 17, 53554, {1, 1, 7, 15, 3, 9, 19, 97, 327, 105, 1915, 205, 3873, 1229, 29915, 57375, 108217}},
-{12015, 17, 53563, {1, 1, 3, 11, 29, 41, 77, 11, 183, 73, 1651, 3739, 3911, 8695, 15339, 19293, 1827}},
-{12016, 17, 53580, {1, 1, 1, 5, 23, 49, 35, 175, 99, 49, 615, 1733, 6901, 2351, 18765, 55553, 99791}},
-{12017, 17, 53591, {1, 3, 7, 3, 25, 17, 67, 161, 507, 941, 35, 2619, 339, 791, 6485, 64277, 123867}},
-{12018, 17, 53598, {1, 1, 3, 13, 11, 9, 79, 193, 75, 391, 1753, 3537, 6971, 6607, 11933, 4447, 87793}},
-{12019, 17, 53611, {1, 1, 1, 5, 19, 9, 63, 203, 51, 395, 1365, 2393, 7265, 11709, 13721, 4519, 118765}},
-{12020, 17, 53621, {1, 1, 3, 9, 17, 53, 29, 103, 325, 973, 903, 785, 7535, 9951, 8121, 12603, 38679}},
-{12021, 17, 53625, {1, 3, 1, 7, 7, 63, 1, 123, 439, 181, 1373, 2705, 995, 10789, 7495, 54543, 120109}},
-{12022, 17, 53628, {1, 1, 7, 3, 17, 13, 79, 179, 165, 965, 1537, 3753, 3497, 12127, 6983, 48605, 113057}},
-{12023, 17, 53632, {1, 1, 5, 7, 3, 7, 41, 25, 267, 633, 19, 1317, 3445, 12377, 27881, 55249, 40841}},
-{12024, 17, 53650, {1, 3, 5, 1, 31, 55, 43, 129, 411, 281, 1, 851, 2419, 7943, 13721, 39371, 114557}},
-{12025, 17, 53655, {1, 1, 7, 7, 23, 19, 83, 37, 9, 161, 125, 3179, 7973, 9703, 23199, 32723, 130915}},
-{12026, 17, 53675, {1, 1, 7, 5, 27, 21, 11, 219, 403, 239, 1723, 2957, 3029, 9911, 10981, 35421, 74025}},
-{12027, 17, 53677, {1, 3, 1, 1, 31, 59, 69, 77, 395, 1, 157, 1259, 4913, 2089, 17619, 51033, 130899}},
-{12028, 17, 53680, {1, 3, 3, 3, 19, 11, 83, 237, 103, 921, 487, 1833, 8187, 3811, 18887, 9389, 80927}},
-{12029, 17, 53683, {1, 3, 7, 3, 17, 51, 107, 209, 187, 831, 1501, 1337, 803, 10361, 11347, 65291, 42219}},
-{12030, 17, 53700, {1, 3, 3, 15, 7, 29, 61, 25, 413, 257, 1185, 4009, 7463, 1839, 6645, 28389, 14449}},
-{12031, 17, 53709, {1, 3, 1, 9, 5, 31, 83, 55, 375, 399, 945, 997, 7649, 12631, 7691, 53325, 50173}},
-{12032, 17, 53724, {1, 1, 5, 9, 13, 9, 83, 37, 487, 975, 487, 3587, 7285, 7505, 10155, 673, 126505}},
-{12033, 17, 53731, {1, 3, 5, 7, 21, 3, 35, 21, 367, 323, 1579, 3351, 5465, 13719, 17033, 42573, 55079}},
-{12034, 17, 53733, {1, 3, 3, 15, 11, 27, 121, 109, 267, 855, 1417, 3839, 6535, 1051, 29355, 23815, 76031}},
-{12035, 17, 53738, {1, 1, 7, 9, 5, 31, 35, 53, 369, 137, 1545, 927, 825, 1333, 13637, 11003, 96963}},
-{12036, 17, 53762, {1, 1, 5, 3, 29, 41, 31, 85, 35, 477, 227, 3325, 1213, 681, 14591, 31325, 12199}},
-{12037, 17, 53767, {1, 3, 7, 11, 11, 11, 33, 255, 335, 747, 855, 31, 6101, 293, 20423, 47521, 62573}},
-{12038, 17, 53785, {1, 1, 1, 15, 31, 15, 33, 175, 321, 441, 1197, 3579, 4989, 9275, 30485, 1077, 122947}},
-{12039, 17, 53786, {1, 3, 5, 15, 23, 21, 127, 223, 249, 373, 1309, 1469, 5701, 9097, 29897, 26627, 38489}},
-{12040, 17, 53795, {1, 3, 7, 3, 3, 35, 83, 149, 259, 315, 1467, 1953, 6035, 7961, 10901, 25171, 130713}},
-{12041, 17, 53802, {1, 1, 3, 9, 7, 63, 55, 33, 375, 421, 151, 1721, 1999, 14937, 17539, 48323, 97345}},
-{12042, 17, 53812, {1, 1, 5, 5, 3, 21, 47, 19, 227, 131, 1591, 3779, 929, 13879, 13489, 19805, 20135}},
-{12043, 17, 53821, {1, 1, 7, 1, 31, 25, 87, 125, 213, 135, 809, 3067, 5035, 7407, 2193, 31423, 123973}},
-{12044, 17, 53827, {1, 3, 5, 13, 17, 19, 77, 169, 345, 115, 227, 649, 3609, 15063, 1895, 17533, 95859}},
-{12045, 17, 53833, {1, 3, 5, 15, 17, 29, 17, 11, 145, 601, 1871, 851, 8161, 14029, 10039, 4247, 62393}},
-{12046, 17, 53841, {1, 1, 7, 13, 25, 5, 49, 231, 261, 71, 335, 4081, 7915, 11367, 17087, 26041, 128737}},
-{12047, 17, 53848, {1, 1, 1, 13, 13, 21, 77, 113, 373, 1005, 109, 2877, 3001, 15011, 2465, 37015, 69049}},
-{12048, 17, 53869, {1, 1, 3, 15, 31, 33, 119, 121, 41, 9, 1567, 577, 1687, 12117, 17049, 675, 10729}},
-{12049, 17, 53897, {1, 3, 5, 11, 31, 7, 47, 41, 127, 81, 273, 1649, 975, 3953, 17021, 24163, 12599}},
-{12050, 17, 53905, {1, 3, 1, 3, 27, 41, 75, 237, 317, 85, 1995, 2255, 2191, 6441, 26629, 25797, 97681}},
-{12051, 17, 53912, {1, 1, 1, 3, 11, 5, 31, 109, 227, 977, 59, 793, 3305, 10905, 16529, 21345, 2403}},
-{12052, 17, 53921, {1, 3, 5, 9, 9, 37, 107, 129, 421, 383, 1415, 885, 3383, 9547, 7303, 41745, 59919}},
-{12053, 17, 53928, {1, 1, 7, 7, 29, 27, 59, 177, 97, 299, 1019, 1393, 7763, 5715, 9253, 58035, 23431}},
-{12054, 17, 53948, {1, 3, 3, 3, 23, 13, 51, 101, 75, 857, 1699, 2687, 3983, 10427, 19845, 49503, 96033}},
-{12055, 17, 53954, {1, 1, 1, 7, 21, 51, 25, 71, 265, 999, 1259, 625, 775, 11045, 20769, 42597, 115521}},
-{12056, 17, 53968, {1, 3, 1, 13, 25, 47, 21, 245, 201, 667, 1193, 1087, 407, 6057, 14929, 35291, 57615}},
-{12057, 17, 53977, {1, 1, 1, 7, 27, 25, 93, 85, 321, 1009, 1045, 1901, 349, 11393, 10917, 10413, 94125}},
-{12058, 17, 53983, {1, 1, 1, 15, 3, 63, 59, 51, 307, 135, 785, 1921, 6921, 5689, 8487, 21061, 69903}},
-{12059, 17, 53984, {1, 3, 7, 1, 13, 47, 59, 155, 107, 573, 843, 2849, 6685, 5927, 31747, 21541, 94271}},
-{12060, 17, 54002, {1, 1, 7, 15, 23, 7, 85, 169, 209, 527, 1027, 3745, 4773, 14893, 10789, 1243, 87133}},
-{12061, 17, 54007, {1, 1, 5, 9, 1, 1, 53, 57, 245, 899, 1785, 1951, 7651, 10909, 30167, 40789, 66965}},
-{12062, 17, 54013, {1, 1, 1, 7, 17, 33, 65, 79, 455, 677, 157, 1313, 1573, 9697, 4161, 4609, 42783}},
-{12063, 17, 54014, {1, 3, 7, 7, 27, 15, 109, 113, 239, 521, 563, 2493, 1471, 15817, 14515, 48465, 66009}},
-{12064, 17, 54021, {1, 3, 5, 3, 29, 33, 125, 169, 483, 593, 1665, 657, 3799, 15829, 29591, 25813, 40987}},
-{12065, 17, 54026, {1, 3, 1, 11, 15, 25, 21, 215, 341, 241, 1599, 3807, 6633, 15137, 15377, 56881, 47499}},
-{12066, 17, 54028, {1, 3, 3, 3, 15, 49, 89, 117, 191, 641, 675, 2671, 4243, 1617, 20261, 42669, 119173}},
-{12067, 17, 54031, {1, 1, 1, 13, 13, 43, 73, 103, 183, 239, 555, 2121, 4889, 1431, 20601, 21545, 11809}},
-{12068, 17, 54036, {1, 3, 1, 9, 9, 9, 121, 51, 77, 455, 1481, 427, 1961, 12149, 21273, 16295, 21909}},
-{12069, 17, 54067, {1, 1, 5, 11, 19, 55, 37, 63, 493, 663, 945, 2191, 2491, 11545, 7407, 36295, 94293}},
-{12070, 17, 54069, {1, 3, 5, 15, 25, 35, 103, 33, 171, 425, 409, 5, 2519, 2239, 30557, 20007, 69079}},
-{12071, 17, 54074, {1, 1, 5, 11, 13, 29, 71, 21, 35, 833, 191, 365, 7013, 12413, 10227, 56705, 61705}},
-{12072, 17, 54076, {1, 1, 1, 1, 21, 13, 87, 113, 63, 537, 283, 925, 2147, 1683, 31239, 2775, 131021}},
-{12073, 17, 54105, {1, 1, 3, 9, 23, 1, 117, 19, 487, 235, 877, 149, 369, 9615, 12501, 60175, 35741}},
-{12074, 17, 54111, {1, 1, 7, 9, 5, 25, 107, 199, 339, 755, 245, 2861, 1119, 14683, 2221, 5227, 81479}},
-{12075, 17, 54118, {1, 1, 1, 15, 5, 15, 37, 63, 511, 219, 783, 3245, 5563, 13231, 22311, 16803, 10393}},
-{12076, 17, 54129, {1, 3, 7, 5, 1, 15, 9, 21, 287, 991, 555, 771, 7683, 1661, 6553, 43735, 118713}},
-{12077, 17, 54145, {1, 3, 1, 3, 3, 29, 119, 157, 13, 599, 537, 2921, 5207, 11621, 1515, 6351, 118429}},
-{12078, 17, 54157, {1, 1, 5, 1, 27, 39, 111, 117, 481, 25, 549, 913, 6427, 7703, 23099, 50501, 7617}},
-{12079, 17, 54158, {1, 1, 7, 5, 29, 63, 43, 151, 63, 43, 197, 3165, 3879, 12435, 461, 64475, 60597}},
-{12080, 17, 54163, {1, 3, 1, 11, 31, 35, 59, 207, 387, 441, 1293, 2117, 3751, 12653, 2811, 42585, 33297}},
-{12081, 17, 54166, {1, 3, 7, 15, 27, 47, 13, 15, 135, 433, 615, 1, 171, 11503, 27117, 64635, 122191}},
-{12082, 17, 54172, {1, 1, 7, 1, 23, 23, 107, 135, 311, 395, 373, 2771, 81, 12513, 16739, 6715, 94999}},
-{12083, 17, 54185, {1, 3, 5, 7, 19, 9, 21, 139, 307, 231, 65, 59, 7767, 2897, 3503, 58163, 48807}},
-{12084, 17, 54186, {1, 3, 5, 13, 23, 5, 51, 247, 125, 911, 1395, 1337, 3215, 15811, 12729, 21495, 22597}},
-{12085, 17, 54188, {1, 3, 5, 5, 1, 19, 123, 125, 197, 533, 1699, 1397, 3473, 15201, 24493, 3395, 98261}},
-{12086, 17, 54208, {1, 1, 3, 7, 29, 39, 69, 97, 353, 293, 1103, 543, 5015, 9913, 6965, 61921, 122073}},
-{12087, 17, 54223, {1, 1, 3, 13, 19, 41, 117, 253, 449, 231, 865, 3055, 4751, 3277, 22863, 3249, 38359}},
-{12088, 17, 54237, {1, 3, 5, 13, 9, 7, 107, 17, 251, 501, 1925, 3733, 5035, 13213, 12535, 13705, 73047}},
-{12089, 17, 54241, {1, 3, 7, 5, 23, 5, 83, 45, 457, 667, 913, 1167, 7063, 10915, 10911, 20501, 61823}},
-{12090, 17, 54244, {1, 3, 3, 13, 7, 15, 29, 223, 503, 713, 667, 3989, 5927, 5909, 27633, 17615, 97931}},
-{12091, 17, 54259, {1, 3, 7, 13, 19, 53, 25, 41, 311, 327, 1323, 3361, 1095, 12701, 1065, 34155, 34705}},
-{12092, 17, 54273, {1, 1, 7, 7, 11, 35, 63, 73, 179, 477, 467, 4043, 3097, 16089, 12749, 18233, 50299}},
-{12093, 17, 54276, {1, 3, 3, 13, 5, 27, 31, 207, 357, 469, 607, 961, 7393, 6707, 25833, 22337, 119083}},
-{12094, 17, 54280, {1, 1, 3, 3, 7, 53, 47, 55, 267, 107, 1307, 2151, 793, 15605, 12153, 13075, 76529}},
-{12095, 17, 54294, {1, 3, 5, 1, 13, 35, 63, 191, 375, 221, 1603, 2049, 5363, 1481, 32271, 22635, 118603}},
-{12096, 17, 54298, {1, 1, 1, 11, 17, 63, 13, 3, 353, 943, 443, 141, 7441, 12335, 4499, 15923, 63677}},
-{12097, 17, 54303, {1, 3, 7, 13, 21, 51, 125, 61, 203, 1, 707, 3893, 4627, 3125, 14629, 62721, 85101}},
-{12098, 17, 54304, {1, 1, 3, 5, 31, 23, 63, 241, 41, 721, 599, 1761, 2593, 1685, 31247, 7811, 87561}},
-{12099, 17, 54309, {1, 1, 7, 9, 7, 53, 51, 9, 303, 675, 1261, 1591, 4363, 15, 29723, 54533, 103869}},
-{12100, 17, 54310, {1, 3, 5, 7, 27, 21, 103, 113, 463, 379, 635, 2363, 607, 11445, 22475, 58433, 93071}},
-{12101, 17, 54316, {1, 1, 5, 5, 5, 63, 23, 67, 399, 279, 829, 945, 6545, 14951, 5135, 22889, 87625}},
-{12102, 17, 54336, {1, 1, 7, 15, 1, 59, 69, 123, 169, 821, 1125, 2051, 3375, 11691, 1379, 57461, 124209}},
-{12103, 17, 54354, {1, 1, 5, 15, 31, 57, 51, 59, 297, 459, 701, 241, 2801, 11893, 4007, 13165, 79403}},
-{12104, 17, 54359, {1, 1, 5, 9, 11, 41, 79, 47, 19, 529, 21, 1871, 371, 6269, 7433, 36183, 96113}},
-{12105, 17, 54375, {1, 1, 7, 5, 29, 3, 33, 191, 119, 501, 1637, 2903, 3347, 4581, 17407, 18169, 10595}},
-{12106, 17, 54376, {1, 3, 5, 11, 9, 35, 95, 193, 413, 727, 1157, 3331, 5993, 1781, 22653, 3975, 110557}},
-{12107, 17, 54381, {1, 1, 1, 1, 23, 5, 35, 65, 57, 515, 569, 4031, 7983, 4603, 29419, 44847, 63601}},
-{12108, 17, 54390, {1, 3, 1, 7, 21, 5, 77, 23, 317, 803, 723, 3229, 7171, 2883, 10943, 50323, 108579}},
-{12109, 17, 54396, {1, 3, 5, 11, 15, 53, 75, 127, 177, 19, 501, 1201, 5113, 9069, 8817, 14725, 104737}},
-{12110, 17, 54399, {1, 3, 7, 9, 7, 39, 5, 121, 409, 103, 1075, 451, 7603, 16023, 32557, 43159, 94385}},
-{12111, 17, 54409, {1, 3, 1, 11, 29, 57, 123, 141, 57, 945, 1777, 2427, 2359, 12839, 7325, 7945, 129811}},
-{12112, 17, 54424, {1, 3, 5, 15, 5, 3, 17, 55, 467, 61, 131, 2891, 6331, 5859, 20437, 49425, 80731}},
-{12113, 17, 54434, {1, 1, 1, 15, 29, 13, 127, 181, 361, 1019, 1675, 2755, 6533, 8957, 14691, 4285, 65459}},
-{12114, 17, 54436, {1, 1, 7, 11, 23, 43, 111, 183, 103, 269, 229, 3291, 1873, 11349, 29319, 64829, 19639}},
-{12115, 17, 54439, {1, 3, 7, 11, 15, 63, 1, 253, 489, 863, 1707, 2769, 3201, 7901, 18161, 12515, 130237}},
-{12116, 17, 54445, {1, 3, 1, 7, 1, 25, 43, 159, 505, 511, 1745, 1421, 6779, 11103, 23535, 61129, 124571}},
-{12117, 17, 54448, {1, 1, 3, 13, 19, 33, 17, 243, 481, 617, 1061, 1891, 7165, 6821, 18505, 8965, 70179}},
-{12118, 17, 54457, {1, 1, 7, 13, 17, 17, 65, 23, 255, 361, 1873, 1605, 2041, 11119, 11419, 63131, 49207}},
-{12119, 17, 54465, {1, 1, 5, 13, 15, 57, 27, 223, 199, 529, 1115, 1513, 8083, 11713, 21005, 50741, 122223}},
-{12120, 17, 54471, {1, 3, 5, 15, 29, 35, 107, 85, 141, 505, 1553, 1283, 4581, 5077, 9461, 59853, 23219}},
-{12121, 17, 54472, {1, 3, 5, 11, 11, 45, 53, 195, 199, 773, 1911, 721, 1563, 3769, 3267, 30673, 80313}},
-{12122, 17, 54485, {1, 3, 7, 7, 21, 37, 9, 129, 431, 79, 1559, 2125, 7781, 6441, 23533, 46919, 25315}},
-{12123, 17, 54508, {1, 1, 5, 15, 11, 61, 77, 231, 349, 647, 225, 85, 6789, 12557, 6505, 21985, 54965}},
-{12124, 17, 54513, {1, 1, 5, 1, 19, 21, 33, 211, 347, 491, 1119, 1619, 3739, 11255, 26705, 59691, 35337}},
-{12125, 17, 54528, {1, 1, 3, 3, 29, 15, 7, 23, 279, 145, 699, 289, 475, 1681, 3201, 64477, 24919}},
-{12126, 17, 54534, {1, 1, 7, 7, 23, 53, 75, 71, 315, 403, 1521, 1417, 3749, 11243, 3951, 61039, 51143}},
-{12127, 17, 54537, {1, 3, 7, 3, 15, 21, 81, 219, 249, 387, 1405, 3495, 7143, 2599, 25435, 15259, 66069}},
-{12128, 17, 54540, {1, 1, 5, 7, 31, 9, 63, 55, 409, 421, 1851, 847, 1593, 10447, 2833, 13209, 47285}},
-{12129, 17, 54551, {1, 1, 3, 7, 15, 3, 35, 49, 253, 21, 1705, 357, 2751, 9671, 12429, 4549, 118691}},
-{12130, 17, 54561, {1, 1, 5, 15, 1, 3, 97, 197, 43, 923, 1273, 663, 4291, 12357, 28221, 15291, 60989}},
-{12131, 17, 54573, {1, 1, 7, 7, 15, 3, 35, 115, 449, 641, 743, 1855, 359, 10983, 2831, 43983, 56465}},
-{12132, 17, 54579, {1, 3, 7, 11, 1, 51, 69, 27, 29, 187, 1673, 1273, 7987, 1223, 8971, 53805, 4413}},
-{12133, 17, 54586, {1, 1, 3, 11, 1, 55, 91, 241, 35, 97, 1027, 3967, 703, 3535, 21681, 55825, 50423}},
-{12134, 17, 54591, {1, 1, 7, 11, 21, 53, 111, 125, 11, 355, 1585, 3603, 1705, 16311, 7045, 15503, 63625}},
-{12135, 17, 54596, {1, 1, 5, 15, 25, 47, 31, 29, 333, 361, 1831, 1545, 7751, 8679, 32453, 61755, 94637}},
-{12136, 17, 54599, {1, 1, 3, 3, 23, 3, 79, 11, 367, 551, 281, 1273, 5097, 12527, 473, 33855, 85783}},
-{12137, 17, 54605, {1, 1, 1, 15, 27, 21, 107, 121, 187, 495, 1877, 1957, 3647, 13263, 30729, 18131, 33689}},
-{12138, 17, 54613, {1, 1, 5, 13, 3, 43, 41, 53, 127, 299, 839, 3327, 7929, 9921, 29471, 18075, 34283}},
-{12139, 17, 54623, {1, 1, 7, 13, 31, 5, 59, 75, 335, 929, 379, 139, 7121, 9281, 31161, 3177, 2615}},
-{12140, 17, 54654, {1, 3, 7, 1, 11, 19, 81, 199, 425, 639, 497, 693, 1271, 7363, 10543, 52513, 130549}},
-{12141, 17, 54667, {1, 3, 3, 7, 21, 41, 101, 67, 363, 5, 1455, 1433, 81, 15609, 16231, 13285, 38995}},
-{12142, 17, 54681, {1, 1, 3, 15, 11, 19, 123, 177, 429, 27, 141, 3095, 5379, 2241, 29877, 59383, 25199}},
-{12143, 17, 54684, {1, 1, 7, 7, 19, 63, 93, 217, 279, 349, 149, 2479, 2355, 6475, 29993, 37941, 58715}},
-{12144, 17, 54687, {1, 3, 7, 3, 21, 23, 59, 177, 489, 817, 1209, 1629, 5805, 3137, 23767, 62967, 16609}},
-{12145, 17, 54694, {1, 3, 3, 7, 9, 55, 59, 31, 191, 891, 833, 1059, 3007, 2331, 385, 58247, 110697}},
-{12146, 17, 54706, {1, 1, 3, 3, 11, 61, 9, 189, 79, 621, 209, 2785, 2959, 4133, 20691, 45605, 117089}},
-{12147, 17, 54712, {1, 3, 3, 5, 5, 47, 31, 1, 451, 765, 2027, 2327, 1725, 14341, 7997, 6449, 77893}},
-{12148, 17, 54715, {1, 1, 7, 1, 7, 27, 27, 129, 227, 505, 1461, 783, 945, 12653, 17913, 61631, 41875}},
-{12149, 17, 54723, {1, 1, 1, 11, 13, 41, 41, 221, 483, 825, 451, 493, 1717, 10389, 7805, 37707, 30733}},
-{12150, 17, 54725, {1, 1, 5, 3, 31, 31, 75, 3, 323, 83, 563, 919, 7387, 1673, 6157, 7415, 14947}},
-{12151, 17, 54726, {1, 1, 7, 13, 19, 37, 29, 93, 153, 491, 1033, 1389, 6361, 11133, 20049, 24585, 107325}},
-{12152, 17, 54740, {1, 1, 1, 15, 3, 35, 79, 251, 383, 665, 2033, 3165, 3411, 15965, 28281, 56521, 56479}},
-{12153, 17, 54750, {1, 3, 1, 15, 23, 1, 87, 145, 443, 405, 635, 1597, 1455, 5983, 12741, 55133, 2815}},
-{12154, 17, 54760, {1, 1, 1, 13, 11, 25, 19, 129, 23, 913, 1121, 223, 1991, 13449, 30443, 50573, 108467}},
-{12155, 17, 54768, {1, 1, 7, 11, 29, 31, 49, 51, 415, 293, 173, 4091, 159, 2679, 30643, 58725, 109287}},
-{12156, 17, 54771, {1, 1, 1, 7, 15, 53, 69, 231, 387, 693, 1299, 1383, 7935, 10313, 22403, 59341, 3347}},
-{12157, 17, 54773, {1, 3, 3, 5, 9, 21, 111, 11, 469, 109, 1565, 3107, 2975, 12491, 26773, 33245, 27589}},
-{12158, 17, 54796, {1, 1, 3, 5, 3, 9, 103, 127, 345, 301, 857, 2035, 3269, 13819, 7555, 5197, 94557}},
-{12159, 17, 54801, {1, 3, 7, 3, 31, 3, 61, 253, 221, 359, 1281, 1405, 4819, 1329, 17773, 29539, 127043}},
-{12160, 17, 54808, {1, 1, 7, 11, 17, 47, 105, 253, 253, 531, 119, 2009, 6125, 9387, 13141, 29079, 28361}},
-{12161, 17, 54814, {1, 1, 3, 5, 21, 13, 21, 223, 79, 819, 1425, 1001, 6517, 8883, 29997, 30637, 7717}},
-{12162, 17, 54837, {1, 3, 1, 3, 1, 23, 113, 69, 235, 95, 1873, 689, 4611, 13209, 12681, 16057, 114071}},
-{12163, 17, 54847, {1, 3, 3, 13, 25, 21, 93, 55, 253, 373, 1659, 829, 6539, 7453, 28195, 33131, 92559}},
-{12164, 17, 54849, {1, 1, 3, 11, 25, 29, 81, 235, 429, 811, 1867, 2923, 5949, 4423, 93, 64631, 48357}},
-{12165, 17, 54864, {1, 3, 5, 13, 29, 27, 35, 15, 105, 849, 247, 3999, 6441, 12443, 19817, 49897, 21515}},
-{12166, 17, 54867, {1, 1, 5, 15, 13, 59, 3, 199, 267, 463, 655, 3875, 2895, 13411, 5081, 22069, 6053}},
-{12167, 17, 54889, {1, 1, 5, 9, 5, 13, 111, 83, 281, 543, 629, 1349, 1863, 9523, 19201, 39229, 78265}},
-{12168, 17, 54895, {1, 3, 7, 1, 29, 23, 109, 75, 347, 643, 97, 1981, 2797, 11201, 28355, 54105, 45551}},
-{12169, 17, 54907, {1, 3, 1, 7, 9, 5, 77, 17, 179, 957, 621, 779, 7117, 1491, 11563, 10131, 98335}},
-{12170, 17, 54919, {1, 3, 3, 1, 3, 53, 39, 217, 309, 105, 485, 3123, 3143, 2359, 4923, 22307, 120319}},
-{12171, 17, 54923, {1, 1, 7, 7, 11, 5, 65, 165, 321, 455, 625, 2417, 999, 14999, 6777, 13319, 43399}},
-{12172, 17, 54926, {1, 1, 7, 3, 11, 55, 43, 119, 135, 129, 581, 3593, 3475, 14667, 30509, 5007, 120135}},
-{12173, 17, 54940, {1, 1, 1, 11, 7, 17, 95, 169, 401, 87, 1425, 1821, 7619, 3605, 10993, 35837, 87311}},
-{12174, 17, 54950, {1, 1, 7, 11, 11, 35, 29, 63, 395, 301, 373, 2457, 6859, 1915, 11215, 41075, 78219}},
-{12175, 17, 54954, {1, 3, 5, 7, 25, 3, 97, 43, 273, 459, 103, 3441, 71, 10269, 29893, 46053, 104801}},
-{12176, 17, 54961, {1, 3, 3, 7, 31, 3, 121, 255, 73, 783, 977, 513, 6527, 1189, 8925, 23245, 22287}},
-{12177, 17, 54973, {1, 3, 3, 13, 15, 53, 51, 135, 465, 341, 263, 1687, 4085, 14257, 18745, 46945, 115475}},
-{12178, 17, 54974, {1, 3, 1, 5, 31, 1, 1, 91, 511, 771, 1501, 2613, 991, 3859, 28911, 65417, 201}},
-{12179, 17, 54976, {1, 1, 7, 1, 27, 21, 107, 153, 163, 949, 811, 3087, 3443, 5621, 28795, 58311, 63763}},
-{12180, 17, 54986, {1, 1, 7, 5, 29, 29, 57, 175, 29, 821, 1545, 2643, 725, 16225, 29111, 19675, 129995}},
-{12181, 17, 54993, {1, 1, 7, 3, 31, 31, 61, 155, 265, 323, 1829, 3891, 6393, 8573, 10627, 10839, 78683}},
-{12182, 17, 55000, {1, 3, 5, 7, 29, 7, 67, 181, 313, 731, 1761, 1681, 3673, 8939, 811, 48931, 82021}},
-{12183, 17, 55010, {1, 3, 1, 3, 11, 51, 81, 67, 173, 881, 855, 3627, 1613, 4825, 7035, 36261, 64899}},
-{12184, 17, 55019, {1, 3, 7, 7, 15, 53, 123, 41, 265, 817, 807, 3875, 7675, 16225, 13313, 62217, 47647}},
-{12185, 17, 55021, {1, 1, 3, 13, 23, 47, 125, 155, 403, 651, 1693, 2185, 5565, 9947, 20893, 11287, 118943}},
-{12186, 17, 55030, {1, 3, 7, 3, 19, 47, 69, 5, 209, 259, 367, 3929, 7579, 12687, 18109, 51885, 128281}},
-{12187, 17, 55033, {1, 1, 7, 5, 27, 41, 45, 41, 205, 1001, 1509, 2649, 1141, 5355, 10265, 34131, 112111}},
-{12188, 17, 55039, {1, 3, 7, 5, 19, 41, 103, 63, 49, 25, 271, 793, 3217, 4741, 2563, 61333, 113205}},
-{12189, 17, 55047, {1, 3, 3, 15, 15, 35, 13, 233, 277, 673, 545, 545, 7419, 6707, 1867, 58873, 110027}},
-{12190, 17, 55048, {1, 1, 7, 3, 9, 23, 67, 55, 3, 1019, 2001, 2909, 7311, 9295, 26953, 43217, 54597}},
-{12191, 17, 55054, {1, 3, 5, 7, 13, 33, 67, 27, 75, 569, 1777, 791, 1223, 1805, 19167, 60537, 60039}},
-{12192, 17, 55059, {1, 1, 5, 13, 15, 61, 49, 59, 289, 907, 1055, 3579, 8169, 12119, 25479, 32867, 65343}},
-{12193, 17, 55068, {1, 3, 5, 9, 5, 63, 91, 225, 377, 469, 891, 891, 5115, 11487, 30151, 44357, 120077}},
-{12194, 17, 55071, {1, 1, 1, 15, 29, 59, 19, 51, 295, 585, 149, 497, 5837, 11629, 7825, 18129, 113797}},
-{12195, 17, 55075, {1, 1, 3, 7, 31, 25, 77, 209, 183, 337, 1753, 2703, 2559, 11847, 17349, 27359, 21771}},
-{12196, 17, 55077, {1, 1, 7, 7, 13, 23, 69, 61, 353, 339, 833, 1935, 4333, 10521, 20331, 62145, 59245}},
-{12197, 17, 55081, {1, 1, 5, 13, 19, 57, 35, 59, 203, 99, 487, 2747, 637, 8213, 27053, 29, 64335}},
-{12198, 17, 55095, {1, 3, 5, 7, 27, 5, 71, 147, 339, 313, 913, 2845, 5713, 4383, 18969, 54871, 51931}},
-{12199, 17, 55099, {1, 1, 1, 5, 7, 23, 19, 11, 111, 543, 311, 1519, 387, 10175, 18209, 14115, 123421}},
-{12200, 17, 55110, {1, 3, 7, 11, 7, 7, 123, 193, 417, 65, 1317, 3821, 2315, 14527, 14113, 25873, 23977}},
-{12201, 17, 55116, {1, 1, 3, 15, 21, 11, 3, 37, 115, 395, 877, 1227, 6997, 4357, 11397, 52855, 24899}},
-{12202, 17, 55122, {1, 1, 7, 5, 15, 45, 45, 17, 441, 605, 429, 739, 4759, 5249, 11311, 55049, 56909}},
-{12203, 17, 55134, {1, 1, 1, 5, 3, 5, 77, 31, 407, 703, 385, 235, 7751, 617, 16013, 27269, 66971}},
-{12204, 17, 55144, {1, 3, 3, 15, 25, 27, 19, 251, 465, 197, 1039, 3261, 4557, 4821, 16083, 43997, 61371}},
-{12205, 17, 55147, {1, 3, 3, 15, 21, 45, 13, 139, 213, 797, 619, 2125, 3805, 4149, 11427, 59807, 104587}},
-{12206, 17, 55158, {1, 3, 1, 1, 29, 27, 25, 7, 371, 535, 1613, 1083, 4221, 8913, 10601, 6447, 17619}},
-{12207, 17, 55162, {1, 1, 3, 3, 13, 35, 37, 127, 285, 899, 307, 123, 129, 14035, 26503, 64103, 27155}},
-{12208, 17, 55171, {1, 1, 7, 7, 27, 25, 45, 245, 271, 281, 69, 3505, 7087, 1529, 7121, 30327, 89131}},
-{12209, 17, 55185, {1, 1, 3, 11, 13, 57, 31, 23, 455, 427, 1683, 3019, 5827, 8817, 12943, 321, 39951}},
-{12210, 17, 55192, {1, 3, 1, 3, 31, 41, 69, 211, 385, 275, 1569, 2265, 4017, 11057, 15, 16619, 126967}},
-{12211, 17, 55197, {1, 3, 3, 1, 27, 27, 21, 145, 125, 929, 1371, 1469, 1591, 5283, 4651, 1265, 17161}},
-{12212, 17, 55207, {1, 3, 7, 5, 29, 31, 41, 141, 49, 967, 1421, 663, 6089, 3831, 11353, 38809, 108605}},
-{12213, 17, 55228, {1, 1, 7, 15, 11, 23, 91, 31, 9, 717, 265, 1729, 3563, 8145, 20441, 22933, 103683}},
-{12214, 17, 55246, {1, 1, 7, 3, 17, 13, 47, 13, 241, 1017, 1803, 2091, 7379, 2941, 11783, 36189, 53513}},
-{12215, 17, 55253, {1, 3, 1, 11, 31, 63, 107, 79, 427, 385, 1497, 1265, 5135, 13597, 27343, 56733, 100595}},
-{12216, 17, 55254, {1, 3, 7, 3, 9, 15, 119, 29, 205, 151, 1453, 3575, 3627, 7815, 3553, 31457, 14267}},
-{12217, 17, 55281, {1, 3, 1, 7, 15, 21, 73, 47, 417, 29, 1231, 2477, 161, 15997, 4457, 3939, 43929}},
-{12218, 17, 55300, {1, 1, 5, 5, 19, 49, 103, 251, 359, 69, 669, 299, 8161, 10579, 13999, 26859, 92199}},
-{12219, 17, 55303, {1, 1, 3, 1, 9, 27, 81, 7, 115, 29, 1067, 1933, 3061, 2885, 27883, 65227, 59365}},
-{12220, 17, 55307, {1, 1, 1, 5, 23, 17, 1, 113, 495, 155, 1673, 3945, 8053, 7935, 3537, 65141, 11809}},
-{12221, 17, 55312, {1, 1, 1, 15, 15, 59, 61, 213, 303, 851, 1893, 615, 6659, 9351, 16621, 6097, 114383}},
-{12222, 17, 55328, {1, 3, 1, 7, 19, 11, 95, 127, 277, 677, 1631, 2563, 3295, 7029, 4059, 44079, 128857}},
-{12223, 17, 55331, {1, 3, 7, 11, 27, 49, 99, 43, 279, 771, 123, 2969, 699, 12915, 22039, 62257, 79359}},
-{12224, 17, 55337, {1, 1, 7, 3, 19, 45, 45, 113, 251, 883, 715, 1541, 1573, 3345, 23855, 62681, 57591}},
-{12225, 17, 55348, {1, 1, 5, 15, 11, 1, 51, 15, 135, 519, 961, 1447, 4425, 2139, 3309, 35111, 74143}},
-{12226, 17, 55352, {1, 3, 7, 7, 17, 39, 109, 25, 11, 549, 315, 2175, 685, 11837, 9151, 6277, 45011}},
-{12227, 17, 55357, {1, 1, 1, 9, 27, 7, 95, 1, 385, 167, 453, 1027, 4105, 16351, 19, 10375, 62833}},
-{12228, 17, 55372, {1, 3, 7, 13, 17, 19, 107, 11, 441, 171, 185, 3567, 1245, 12161, 30257, 48105, 87105}},
-{12229, 17, 55375, {1, 3, 3, 9, 15, 5, 109, 225, 85, 919, 513, 3559, 5411, 9009, 27391, 25115, 84875}},
-{12230, 17, 55377, {1, 3, 3, 7, 11, 37, 81, 51, 121, 25, 1897, 2121, 6425, 16087, 4259, 29501, 118067}},
-{12231, 17, 55394, {1, 1, 7, 3, 5, 53, 73, 127, 137, 739, 543, 1723, 1163, 2791, 18519, 1459, 50869}},
-{12232, 17, 55406, {1, 1, 3, 11, 29, 51, 101, 189, 193, 839, 25, 3109, 3035, 3917, 23929, 38577, 129705}},
-{12233, 17, 55424, {1, 3, 7, 15, 9, 29, 93, 101, 271, 791, 1257, 1843, 2701, 8205, 15195, 9109, 120835}},
-{12234, 17, 55429, {1, 3, 3, 5, 29, 47, 31, 135, 483, 385, 1395, 2955, 7291, 12885, 9491, 14581, 66293}},
-{12235, 17, 55430, {1, 1, 7, 1, 5, 37, 105, 149, 63, 617, 1611, 3025, 3177, 15463, 3373, 3503, 95001}},
-{12236, 17, 55436, {1, 1, 5, 13, 1, 57, 19, 35, 127, 423, 1221, 1547, 4083, 347, 17131, 60087, 27437}},
-{12237, 17, 55439, {1, 3, 7, 9, 25, 1, 105, 39, 25, 921, 1897, 1729, 2207, 7761, 24197, 457, 64241}},
-{12238, 17, 55447, {1, 3, 7, 9, 15, 21, 13, 113, 379, 1021, 489, 1757, 5869, 4833, 24717, 52227, 3209}},
-{12239, 17, 55453, {1, 3, 1, 5, 9, 61, 25, 41, 183, 473, 383, 2259, 6939, 3, 32161, 6319, 93099}},
-{12240, 17, 55458, {1, 1, 5, 13, 13, 47, 97, 3, 357, 837, 1655, 485, 4251, 12153, 9013, 25121, 51877}},
-{12241, 17, 55460, {1, 1, 1, 15, 7, 59, 65, 119, 467, 313, 1333, 2007, 5165, 13935, 13679, 3999, 81811}},
-{12242, 17, 55478, {1, 1, 5, 13, 13, 1, 63, 117, 449, 13, 1017, 1583, 7599, 3669, 32699, 59455, 32363}},
-{12243, 17, 55489, {1, 1, 7, 9, 7, 15, 37, 251, 167, 25, 1085, 2067, 2771, 5737, 20661, 19231, 59547}},
-{12244, 17, 55501, {1, 1, 5, 13, 29, 11, 63, 37, 281, 657, 1567, 2879, 7601, 15617, 16527, 51695, 5583}},
-{12245, 17, 55502, {1, 1, 5, 3, 31, 17, 19, 65, 315, 413, 927, 3617, 4089, 11899, 3759, 47991, 1685}},
-{12246, 17, 55519, {1, 1, 1, 1, 13, 47, 89, 91, 379, 429, 283, 3765, 2923, 14955, 26399, 9579, 39817}},
-{12247, 17, 55525, {1, 1, 1, 9, 1, 17, 91, 119, 327, 291, 39, 2883, 6265, 553, 7559, 60577, 34393}},
-{12248, 17, 55530, {1, 3, 5, 5, 9, 33, 123, 219, 103, 529, 181, 1321, 6815, 2411, 10555, 43911, 18889}},
-{12249, 17, 55544, {1, 1, 5, 7, 9, 13, 7, 45, 427, 523, 1189, 255, 2103, 7217, 16249, 14631, 90409}},
-{12250, 17, 55550, {1, 1, 1, 9, 11, 35, 55, 71, 89, 637, 1417, 411, 5305, 10125, 20715, 62927, 4993}},
-{12251, 17, 55558, {1, 3, 1, 9, 1, 59, 27, 221, 267, 797, 1081, 951, 1369, 2677, 20763, 63301, 61963}},
-{12252, 17, 55561, {1, 3, 5, 5, 17, 9, 67, 177, 89, 953, 1329, 1649, 989, 7773, 28747, 26231, 42331}},
-{12253, 17, 55569, {1, 3, 3, 9, 23, 35, 17, 145, 53, 519, 1173, 2079, 2593, 3633, 32005, 30573, 55651}},
-{12254, 17, 55586, {1, 1, 7, 7, 17, 41, 47, 253, 107, 843, 9, 323, 2391, 3267, 25813, 1741, 93493}},
-{12255, 17, 55591, {1, 1, 1, 9, 31, 43, 47, 91, 235, 569, 2017, 2385, 5055, 5747, 26471, 48819, 47315}},
-{12256, 17, 55598, {1, 3, 5, 9, 1, 17, 87, 91, 55, 287, 995, 2577, 1151, 9119, 22791, 50899, 16423}},
-{12257, 17, 55605, {1, 3, 7, 1, 3, 29, 9, 193, 269, 201, 325, 2209, 1061, 7957, 23265, 65083, 27575}},
-{12258, 17, 55609, {1, 3, 7, 15, 27, 23, 37, 239, 165, 959, 1965, 2105, 1581, 6621, 17315, 49255, 62487}},
-{12259, 17, 55618, {1, 3, 7, 7, 11, 31, 73, 145, 429, 421, 571, 3375, 2797, 15889, 26523, 12315, 48061}},
-{12260, 17, 55630, {1, 3, 3, 15, 23, 27, 105, 75, 497, 137, 475, 1343, 537, 10499, 27807, 46623, 32435}},
-{12261, 17, 55642, {1, 1, 7, 15, 15, 11, 51, 107, 225, 557, 1461, 3447, 1243, 13827, 23675, 26139, 54603}},
-{12262, 17, 55644, {1, 3, 5, 5, 7, 25, 51, 3, 85, 371, 1503, 3217, 1779, 7141, 29471, 42247, 107699}},
-{12263, 17, 55653, {1, 3, 7, 15, 23, 53, 127, 229, 241, 165, 1985, 1921, 5917, 15743, 18349, 23981, 58241}},
-{12264, 17, 55654, {1, 1, 3, 13, 9, 63, 49, 67, 21, 57, 377, 1807, 5603, 13651, 28039, 3745, 4903}},
-{12265, 17, 55660, {1, 3, 7, 11, 1, 43, 17, 95, 79, 343, 1939, 2349, 5195, 3047, 4325, 27829, 53809}},
-{12266, 17, 55671, {1, 1, 5, 9, 7, 43, 111, 221, 493, 151, 1635, 3949, 6661, 4861, 17661, 61909, 4975}},
-{12267, 17, 55693, {1, 3, 1, 3, 31, 47, 63, 45, 401, 153, 1139, 2125, 6639, 14093, 31607, 20645, 52245}},
-{12268, 17, 55706, {1, 1, 3, 1, 19, 31, 59, 139, 285, 749, 751, 775, 7795, 14917, 30295, 61037, 12315}},
-{12269, 17, 55712, {1, 3, 3, 9, 15, 55, 79, 183, 373, 663, 497, 2589, 4955, 5409, 23527, 2683, 5487}},
-{12270, 17, 55718, {1, 3, 7, 11, 25, 47, 53, 225, 197, 109, 1937, 1375, 7347, 7353, 2335, 21775, 14877}},
-{12271, 17, 55739, {1, 3, 1, 9, 23, 61, 51, 221, 129, 57, 115, 1031, 6793, 14773, 3331, 24951, 94761}},
-{12272, 17, 55747, {1, 1, 5, 15, 31, 9, 69, 117, 295, 147, 673, 3627, 7167, 13835, 20593, 53163, 83033}},
-{12273, 17, 55754, {1, 3, 7, 9, 15, 63, 111, 225, 147, 863, 691, 629, 7485, 483, 21835, 46251, 94645}},
-{12274, 17, 55771, {1, 3, 3, 3, 11, 41, 23, 159, 133, 787, 1617, 629, 5047, 4465, 29051, 47499, 7211}},
-{12275, 17, 55774, {1, 1, 3, 13, 21, 61, 29, 159, 73, 165, 917, 2577, 7237, 11807, 3767, 56861, 51395}},
-{12276, 17, 55780, {1, 1, 5, 3, 15, 31, 37, 233, 283, 265, 1645, 3843, 1971, 4989, 26823, 15243, 74931}},
-{12277, 17, 55783, {1, 3, 7, 11, 9, 51, 7, 119, 237, 905, 1211, 3041, 7641, 3387, 8373, 38961, 68925}},
-{12278, 17, 55784, {1, 1, 7, 3, 17, 53, 55, 195, 57, 957, 2027, 3965, 2993, 411, 13947, 58349, 32169}},
-{12279, 17, 55789, {1, 1, 7, 9, 7, 37, 55, 93, 173, 769, 1381, 3977, 5293, 5051, 21455, 45547, 64653}},
-{12280, 17, 55798, {1, 3, 5, 7, 1, 41, 89, 161, 315, 361, 1675, 2993, 3281, 13043, 19003, 22129, 130379}},
-{12281, 17, 55802, {1, 3, 1, 9, 13, 37, 85, 197, 465, 177, 661, 943, 541, 11117, 9751, 4193, 98291}},
-{12282, 17, 55823, {1, 1, 3, 7, 21, 7, 67, 17, 41, 817, 1159, 1483, 6937, 10079, 3639, 27887, 14541}},
-{12283, 17, 55828, {1, 3, 3, 15, 17, 63, 69, 215, 437, 883, 1857, 3319, 3107, 16279, 10709, 30433, 52551}},
-{12284, 17, 55837, {1, 1, 3, 11, 1, 5, 69, 37, 419, 999, 1711, 875, 3807, 10811, 16345, 61155, 116043}},
-{12285, 17, 55838, {1, 3, 7, 13, 17, 7, 57, 237, 81, 691, 1143, 4075, 2481, 643, 8091, 8243, 80111}},
-{12286, 17, 55847, {1, 1, 7, 7, 17, 61, 73, 215, 113, 885, 159, 2243, 1177, 10981, 10123, 48995, 123349}},
-{12287, 17, 55848, {1, 1, 1, 7, 31, 47, 99, 15, 371, 343, 1483, 1985, 25, 11125, 8357, 10677, 130895}},
-{12288, 17, 55885, {1, 3, 1, 13, 25, 41, 83, 37, 129, 493, 641, 185, 6607, 7213, 13285, 10439, 73227}},
-{12289, 17, 55897, {1, 1, 5, 7, 17, 15, 93, 53, 281, 91, 115, 3675, 3081, 9825, 23653, 40095, 91803}},
-{12290, 17, 55904, {1, 1, 1, 5, 3, 25, 39, 207, 419, 361, 953, 2823, 8105, 15763, 29199, 61607, 32633}},
-{12291, 17, 55910, {1, 1, 3, 1, 31, 51, 55, 3, 277, 639, 191, 1783, 139, 29, 16659, 30199, 69109}},
-{12292, 17, 55919, {1, 1, 1, 7, 31, 59, 25, 13, 239, 617, 115, 1787, 5757, 9927, 2417, 37313, 115135}},
-{12293, 17, 55922, {1, 1, 3, 5, 19, 35, 5, 187, 483, 823, 1875, 163, 4235, 853, 23679, 50899, 94981}},
-{12294, 17, 55931, {1, 3, 3, 11, 9, 39, 121, 201, 189, 543, 1493, 1215, 351, 16063, 1701, 56559, 108053}},
-{12295, 17, 55933, {1, 3, 1, 7, 1, 39, 31, 163, 347, 307, 349, 4081, 1729, 16265, 363, 28297, 50631}},
-{12296, 17, 55937, {1, 3, 7, 13, 21, 55, 127, 161, 75, 9, 1285, 1839, 5283, 5667, 10979, 22185, 7581}},
-{12297, 17, 55943, {1, 1, 3, 5, 13, 45, 17, 181, 117, 395, 1685, 663, 3441, 5359, 7157, 27759, 102343}},
-{12298, 17, 55955, {1, 3, 1, 7, 7, 31, 97, 187, 383, 769, 1469, 4007, 5521, 13973, 49, 43823, 75649}},
-{12299, 17, 55957, {1, 3, 5, 7, 31, 13, 47, 11, 335, 961, 321, 3367, 1903, 503, 8409, 1101, 58215}},
-{12300, 17, 55968, {1, 1, 7, 7, 25, 49, 39, 1, 453, 419, 333, 1759, 2287, 6243, 10723, 13687, 56853}},
-{12301, 17, 55980, {1, 3, 3, 7, 11, 55, 125, 197, 19, 591, 1969, 511, 2501, 8429, 29467, 27917, 63457}},
-{12302, 17, 55986, {1, 1, 3, 11, 11, 43, 35, 213, 231, 119, 379, 3761, 4891, 5677, 20317, 5459, 55487}},
-{12303, 17, 55992, {1, 1, 5, 7, 21, 9, 127, 59, 97, 963, 847, 2131, 7907, 11409, 8785, 48197, 96907}},
-{12304, 17, 56005, {1, 3, 5, 3, 23, 7, 45, 95, 179, 691, 1571, 3091, 6359, 9105, 26021, 26925, 43}},
-{12305, 17, 56034, {1, 3, 3, 7, 21, 7, 11, 219, 439, 465, 1983, 117, 4639, 8387, 27637, 15883, 5567}},
-{12306, 17, 56051, {1, 1, 7, 3, 1, 3, 51, 205, 425, 133, 563, 1317, 533, 1227, 8361, 23407, 39825}},
-{12307, 17, 56054, {1, 1, 5, 3, 3, 39, 19, 69, 477, 605, 3, 1887, 2077, 13673, 2763, 64415, 104519}},
-{12308, 17, 56065, {1, 1, 5, 15, 11, 45, 89, 245, 177, 591, 1313, 587, 4781, 5103, 26401, 12643, 38959}},
-{12309, 17, 56080, {1, 1, 1, 5, 11, 13, 15, 95, 271, 99, 2001, 2701, 6065, 3527, 7423, 37525, 117161}},
-{12310, 17, 56101, {1, 3, 7, 7, 21, 17, 111, 149, 373, 591, 1461, 809, 3877, 8635, 13209, 31439, 64285}},
-{12311, 17, 56113, {1, 3, 1, 15, 25, 51, 55, 161, 357, 181, 41, 2345, 3553, 9917, 30123, 40683, 122497}},
-{12312, 17, 56126, {1, 3, 7, 15, 5, 55, 119, 239, 291, 665, 1537, 3309, 2519, 12397, 25897, 51529, 28673}},
-{12313, 17, 56131, {1, 1, 1, 9, 25, 45, 21, 119, 19, 145, 313, 2509, 1031, 3319, 14863, 10759, 22577}},
-{12314, 17, 56134, {1, 3, 1, 15, 1, 61, 87, 229, 511, 83, 79, 51, 1407, 16293, 26217, 25839, 86207}},
-{12315, 17, 56143, {1, 3, 7, 7, 23, 43, 89, 11, 43, 801, 569, 3273, 315, 9537, 681, 34783, 97101}},
-{12316, 17, 56148, {1, 1, 5, 1, 13, 31, 77, 115, 501, 669, 27, 3765, 6789, 9139, 30587, 45995, 102433}},
-{12317, 17, 56152, {1, 1, 7, 1, 15, 21, 57, 197, 243, 353, 71, 341, 7319, 8467, 9779, 15755, 4185}},
-{12318, 17, 56174, {1, 1, 1, 1, 17, 21, 3, 185, 277, 585, 265, 3189, 3975, 353, 8541, 23905, 21881}},
-{12319, 17, 56181, {1, 3, 5, 3, 5, 23, 113, 253, 343, 73, 1419, 2529, 4333, 2007, 14307, 60591, 55411}},
-{12320, 17, 56182, {1, 1, 7, 3, 25, 35, 109, 173, 351, 487, 1551, 3207, 1189, 5091, 3581, 4699, 22085}},
-{12321, 17, 56185, {1, 1, 3, 11, 9, 9, 71, 173, 17, 595, 2015, 2543, 4889, 6025, 15265, 6459, 3977}},
-{12322, 17, 56192, {1, 3, 5, 15, 11, 13, 11, 189, 431, 307, 317, 3131, 1421, 10863, 5311, 25273, 43187}},
-{12323, 17, 56201, {1, 1, 1, 7, 7, 41, 103, 231, 321, 327, 1849, 2485, 6461, 10259, 4577, 52951, 33053}},
-{12324, 17, 56215, {1, 3, 3, 15, 11, 33, 73, 155, 453, 597, 575, 2119, 327, 4227, 32271, 7429, 102007}},
-{12325, 17, 56219, {1, 1, 3, 7, 15, 9, 95, 177, 21, 245, 257, 3637, 821, 16351, 1733, 10635, 59885}},
-{12326, 17, 56222, {1, 1, 3, 7, 23, 41, 107, 147, 57, 877, 1609, 3275, 339, 12997, 5989, 62293, 21549}},
-{12327, 17, 56258, {1, 1, 7, 13, 19, 39, 111, 229, 321, 487, 873, 3365, 4915, 251, 30629, 45775, 73549}},
-{12328, 17, 56264, {1, 1, 1, 13, 25, 61, 43, 111, 135, 463, 1921, 1723, 7505, 13805, 30633, 51683, 7353}},
-{12329, 17, 56269, {1, 1, 1, 1, 31, 41, 35, 205, 375, 189, 635, 3589, 3507, 8131, 13437, 22823, 68451}},
-{12330, 17, 56272, {1, 3, 7, 5, 31, 47, 13, 229, 105, 195, 685, 529, 39, 2651, 6821, 11043, 112123}},
-{12331, 17, 56278, {1, 3, 7, 13, 3, 23, 21, 203, 89, 957, 1577, 1711, 585, 3937, 17681, 55577, 61075}},
-{12332, 17, 56282, {1, 3, 3, 3, 17, 37, 49, 7, 287, 183, 1185, 2979, 2103, 1217, 22105, 11677, 19603}},
-{12333, 17, 56306, {1, 1, 1, 9, 29, 35, 93, 179, 403, 563, 441, 3485, 6909, 12647, 3885, 60089, 29275}},
-{12334, 17, 56308, {1, 3, 3, 9, 15, 37, 49, 103, 509, 77, 495, 921, 2599, 14735, 30951, 22779, 47747}},
-{12335, 17, 56318, {1, 3, 3, 11, 17, 45, 43, 235, 379, 51, 925, 89, 2241, 10273, 27649, 8101, 93977}},
-{12336, 17, 56329, {1, 3, 3, 3, 11, 7, 25, 163, 405, 997, 847, 2743, 4705, 7041, 10997, 50189, 10775}},
-{12337, 17, 56356, {1, 1, 1, 13, 19, 43, 3, 125, 37, 41, 5, 965, 2681, 3737, 29057, 37777, 119537}},
-{12338, 17, 56360, {1, 1, 1, 1, 11, 27, 101, 67, 73, 199, 1739, 2835, 5837, 10595, 9865, 38493, 99323}},
-{12339, 17, 56383, {1, 3, 1, 13, 27, 43, 21, 79, 419, 847, 843, 2563, 8133, 10295, 10127, 30839, 104863}},
-{12340, 17, 56388, {1, 3, 3, 11, 15, 37, 71, 251, 157, 971, 165, 1647, 2583, 205, 23555, 55297, 106893}},
-{12341, 17, 56391, {1, 1, 5, 15, 1, 21, 113, 107, 287, 727, 71, 2655, 1435, 11125, 15257, 18899, 37737}},
-{12342, 17, 56405, {1, 1, 3, 3, 27, 49, 17, 85, 57, 237, 349, 4049, 1103, 2523, 3919, 36587, 128595}},
-{12343, 17, 56406, {1, 3, 5, 9, 13, 1, 65, 13, 361, 409, 413, 2153, 5953, 10651, 25383, 49777, 65399}},
-{12344, 17, 56416, {1, 1, 7, 9, 19, 47, 69, 127, 121, 925, 57, 2775, 4981, 3643, 4077, 3081, 56093}},
-{12345, 17, 56426, {1, 3, 3, 13, 1, 53, 45, 13, 489, 445, 623, 3547, 1659, 1899, 11971, 3725, 12445}},
-{12346, 17, 56439, {1, 3, 7, 11, 13, 9, 59, 157, 125, 975, 1283, 297, 3609, 3179, 31341, 54727, 112515}},
-{12347, 17, 56446, {1, 1, 1, 13, 23, 63, 69, 249, 159, 593, 47, 3957, 757, 14693, 26345, 18839, 111263}},
-{12348, 17, 56450, {1, 1, 1, 1, 31, 37, 37, 199, 7, 425, 337, 1475, 271, 16215, 12089, 16765, 13519}},
-{12349, 17, 56459, {1, 1, 7, 11, 31, 59, 121, 139, 413, 807, 737, 1235, 3505, 5859, 14205, 31939, 4713}},
-{12350, 17, 56461, {1, 1, 1, 9, 21, 51, 113, 159, 345, 807, 635, 523, 5535, 13307, 4239, 14847, 23711}},
-{12351, 17, 56464, {1, 3, 5, 13, 31, 7, 33, 1, 293, 271, 1829, 2535, 6333, 12037, 29401, 35009, 37789}},
-{12352, 17, 56469, {1, 1, 7, 3, 7, 57, 31, 45, 177, 475, 843, 1265, 585, 16099, 29293, 52407, 56131}},
-{12353, 17, 56489, {1, 3, 3, 11, 1, 25, 117, 205, 139, 141, 1229, 903, 1883, 11269, 30493, 3979, 4263}},
-{12354, 17, 56490, {1, 1, 5, 13, 25, 43, 9, 237, 347, 869, 1765, 1389, 1931, 13331, 17325, 45999, 121201}},
-{12355, 17, 56497, {1, 3, 3, 11, 3, 13, 95, 49, 389, 53, 491, 1467, 5105, 16053, 6305, 15759, 51991}},
-{12356, 17, 56509, {1, 3, 5, 15, 1, 53, 85, 69, 75, 409, 1299, 1245, 7951, 10709, 9157, 3509, 103975}},
-{12357, 17, 56515, {1, 1, 1, 13, 1, 33, 97, 235, 463, 413, 1759, 1891, 1781, 5261, 5759, 201, 69199}},
-{12358, 17, 56518, {1, 1, 3, 13, 21, 27, 101, 143, 123, 705, 969, 2461, 6057, 13091, 6077, 38311, 30379}},
-{12359, 17, 56524, {1, 3, 3, 1, 13, 11, 73, 33, 495, 513, 763, 3089, 421, 13663, 30169, 56599, 38847}},
-{12360, 17, 56535, {1, 1, 7, 13, 13, 31, 91, 63, 233, 137, 859, 2449, 539, 12461, 13477, 31605, 58919}},
-{12361, 17, 56542, {1, 1, 1, 9, 13, 49, 107, 45, 451, 707, 1735, 1881, 3451, 9131, 25481, 10841, 116067}},
-{12362, 17, 56545, {1, 3, 7, 1, 27, 21, 51, 117, 63, 53, 575, 3325, 1099, 11181, 23609, 47141, 115421}},
-{12363, 17, 56551, {1, 3, 1, 13, 25, 29, 53, 135, 165, 319, 1695, 341, 8157, 10671, 7095, 60749, 31513}},
-{12364, 17, 56555, {1, 1, 7, 5, 3, 53, 123, 137, 449, 87, 951, 693, 6943, 15331, 1515, 24019, 56613}},
-{12365, 17, 56560, {1, 3, 7, 5, 25, 17, 43, 251, 301, 203, 633, 1271, 6253, 4475, 10773, 25003, 67599}},
-{12366, 17, 56569, {1, 1, 3, 9, 1, 25, 117, 159, 13, 155, 851, 2497, 6155, 6549, 27909, 24423, 82357}},
-{12367, 17, 56580, {1, 1, 1, 1, 21, 59, 103, 43, 291, 111, 1355, 401, 5129, 16017, 25947, 15391, 46745}},
-{12368, 17, 56584, {1, 1, 1, 13, 13, 51, 95, 111, 17, 963, 1535, 3003, 6163, 11377, 6787, 57275, 109559}},
-{12369, 17, 56598, {1, 1, 5, 11, 11, 3, 85, 207, 489, 117, 269, 747, 5719, 8501, 7307, 59223, 18941}},
-{12370, 17, 56601, {1, 1, 5, 1, 9, 53, 41, 255, 271, 995, 1939, 2739, 2221, 14841, 22617, 10643, 6427}},
-{12371, 17, 56602, {1, 3, 3, 9, 7, 55, 109, 143, 427, 45, 579, 115, 2061, 8447, 29469, 5523, 129063}},
-{12372, 17, 56623, {1, 3, 7, 5, 23, 63, 119, 31, 53, 821, 135, 2677, 807, 4685, 24391, 55165, 88079}},
-{12373, 17, 56637, {1, 3, 5, 9, 15, 11, 73, 177, 243, 375, 115, 1633, 7983, 15039, 21169, 25325, 128479}},
-{12374, 17, 56638, {1, 3, 3, 5, 21, 51, 13, 51, 75, 993, 77, 209, 2761, 451, 11987, 40297, 2383}},
-{12375, 17, 56643, {1, 3, 7, 1, 19, 9, 11, 161, 19, 851, 1313, 1169, 4405, 7493, 23935, 37323, 107387}},
-{12376, 17, 56650, {1, 3, 5, 15, 5, 11, 79, 129, 507, 247, 811, 1145, 3893, 5205, 11309, 38205, 2051}},
-{12377, 17, 56673, {1, 1, 5, 1, 11, 13, 33, 155, 21, 185, 771, 3261, 981, 743, 12479, 22611, 25321}},
-{12378, 17, 56676, {1, 1, 5, 9, 7, 25, 11, 235, 429, 563, 1647, 1429, 1385, 14411, 3831, 19769, 67599}},
-{12379, 17, 56686, {1, 3, 3, 5, 5, 7, 109, 117, 251, 823, 669, 2043, 1843, 11829, 27051, 35865, 11461}},
-{12380, 17, 56704, {1, 3, 5, 5, 7, 3, 45, 63, 305, 99, 393, 1765, 1711, 15569, 27295, 16555, 77631}},
-{12381, 17, 56710, {1, 3, 5, 11, 23, 33, 49, 125, 85, 677, 1589, 2667, 5723, 15619, 30415, 39561, 122763}},
-{12382, 17, 56721, {1, 3, 7, 13, 27, 21, 99, 209, 481, 123, 1285, 115, 6517, 11753, 11365, 44959, 89}},
-{12383, 17, 56731, {1, 1, 1, 7, 15, 15, 45, 151, 489, 169, 933, 2987, 657, 3095, 6745, 131, 37767}},
-{12384, 17, 56738, {1, 3, 1, 15, 1, 37, 99, 137, 151, 891, 715, 383, 1293, 719, 10957, 5557, 92841}},
-{12385, 17, 56747, {1, 1, 1, 3, 27, 59, 93, 49, 473, 313, 431, 1129, 5995, 13101, 13185, 7091, 109677}},
-{12386, 17, 56750, {1, 3, 3, 7, 1, 41, 55, 135, 271, 527, 1919, 1093, 2579, 3725, 22853, 31613, 4729}},
-{12387, 17, 56752, {1, 1, 7, 1, 7, 13, 63, 255, 219, 837, 117, 2323, 4295, 15697, 8607, 47047, 117869}},
-{12388, 17, 56757, {1, 1, 1, 7, 29, 29, 55, 171, 437, 733, 491, 1037, 7221, 5705, 31819, 19583, 103991}},
-{12389, 17, 56787, {1, 3, 7, 1, 31, 19, 65, 39, 151, 517, 1985, 2251, 6147, 12983, 28263, 35891, 7545}},
-{12390, 17, 56796, {1, 1, 7, 7, 21, 41, 97, 253, 427, 391, 849, 611, 4827, 10807, 6267, 22513, 62803}},
-{12391, 17, 56803, {1, 3, 7, 7, 25, 9, 49, 245, 491, 39, 603, 1853, 5655, 3517, 10745, 55069, 121497}},
-{12392, 17, 56812, {1, 3, 1, 5, 9, 39, 109, 195, 283, 141, 2007, 3, 1267, 13053, 8387, 48665, 48877}},
-{12393, 17, 56815, {1, 1, 3, 7, 27, 61, 49, 43, 229, 497, 2015, 1345, 3195, 7139, 13453, 56993, 15099}},
-{12394, 17, 56824, {1, 3, 5, 11, 31, 53, 87, 97, 385, 387, 1107, 3287, 2517, 7421, 1007, 37421, 124113}},
-{12395, 17, 56829, {1, 3, 3, 11, 9, 55, 51, 215, 181, 419, 863, 3149, 5815, 15579, 28527, 34715, 61375}},
-{12396, 17, 56833, {1, 3, 3, 3, 31, 57, 5, 35, 445, 957, 1897, 105, 2533, 10255, 19795, 49127, 38491}},
-{12397, 17, 56839, {1, 3, 3, 13, 25, 53, 1, 159, 443, 541, 439, 3377, 5511, 9667, 26777, 32599, 36981}},
-{12398, 17, 56840, {1, 1, 1, 3, 23, 29, 97, 131, 59, 143, 1601, 2765, 4569, 11081, 6027, 38641, 100745}},
-{12399, 17, 56845, {1, 3, 3, 15, 9, 15, 19, 35, 321, 935, 465, 2707, 4799, 7455, 12743, 31029, 114149}},
-{12400, 17, 56853, {1, 1, 1, 1, 11, 51, 23, 79, 387, 701, 107, 623, 231, 12571, 7719, 3061, 79605}},
-{12401, 17, 56854, {1, 3, 5, 15, 17, 49, 109, 83, 185, 295, 853, 219, 3615, 535, 32001, 6655, 4185}},
-{12402, 17, 56858, {1, 3, 3, 15, 15, 7, 35, 151, 305, 705, 1383, 1595, 5595, 11995, 15491, 49119, 83383}},
-{12403, 17, 56863, {1, 3, 7, 9, 3, 25, 57, 47, 359, 719, 1937, 1403, 1399, 10827, 24181, 29141, 79017}},
-{12404, 17, 56864, {1, 3, 5, 1, 1, 21, 21, 245, 361, 485, 1521, 3935, 1587, 8653, 25871, 49449, 103413}},
-{12405, 17, 56881, {1, 3, 3, 3, 9, 61, 31, 69, 401, 261, 1217, 3069, 4045, 12437, 32017, 15113, 10769}},
-{12406, 17, 56882, {1, 3, 1, 1, 21, 33, 123, 87, 481, 793, 625, 4087, 1361, 11077, 18835, 13287, 40107}},
-{12407, 17, 56896, {1, 3, 7, 3, 9, 49, 101, 213, 467, 77, 1691, 2621, 4411, 8025, 30247, 13691, 20559}},
-{12408, 17, 56901, {1, 1, 1, 9, 29, 49, 47, 135, 1, 337, 1649, 389, 3845, 7213, 19527, 2619, 78841}},
-{12409, 17, 56902, {1, 3, 7, 9, 23, 23, 47, 97, 493, 767, 137, 1467, 7015, 2883, 12749, 9267, 12441}},
-{12410, 17, 56908, {1, 1, 3, 15, 9, 57, 53, 19, 401, 385, 1159, 1185, 6977, 14027, 3183, 59119, 42065}},
-{12411, 17, 56923, {1, 1, 1, 15, 21, 33, 83, 251, 147, 395, 321, 443, 6893, 1877, 6687, 28863, 86531}},
-{12412, 17, 56925, {1, 3, 3, 1, 3, 47, 27, 247, 121, 827, 1399, 4079, 7545, 11691, 27915, 28811, 17099}},
-{12413, 17, 56926, {1, 3, 5, 7, 5, 59, 73, 69, 117, 897, 905, 3273, 2935, 11077, 32443, 60959, 16081}},
-{12414, 17, 56932, {1, 1, 7, 5, 27, 49, 107, 169, 75, 435, 1913, 2089, 5733, 2361, 5163, 52239, 87411}},
-{12415, 17, 56939, {1, 1, 7, 13, 1, 13, 123, 89, 427, 301, 1217, 1491, 5361, 10381, 28971, 57655, 108607}},
-{12416, 17, 56947, {1, 1, 7, 11, 13, 5, 23, 151, 117, 369, 623, 2263, 2609, 109, 32485, 52133, 69391}},
-{12417, 17, 56954, {1, 3, 7, 11, 7, 33, 127, 43, 123, 203, 775, 3215, 5115, 1805, 14581, 46791, 128781}},
-{12418, 17, 56970, {1, 3, 3, 1, 7, 23, 37, 99, 1, 719, 293, 2727, 6859, 683, 13241, 17839, 4215}},
-{12419, 17, 56972, {1, 1, 1, 13, 27, 41, 93, 25, 59, 947, 971, 1523, 4443, 1209, 32317, 58651, 11121}},
-{12420, 17, 56977, {1, 1, 1, 3, 31, 33, 23, 87, 349, 265, 445, 3489, 783, 7833, 5767, 59295, 45057}},
-{12421, 17, 56980, {1, 1, 1, 1, 15, 47, 19, 15, 217, 837, 2043, 2805, 4701, 5873, 1517, 46743, 61655}},
-{12422, 17, 56993, {1, 3, 7, 1, 27, 27, 9, 107, 25, 897, 955, 3763, 821, 1535, 14557, 38537, 128737}},
-{12423, 17, 57013, {1, 3, 3, 7, 19, 49, 121, 217, 401, 975, 1189, 715, 3113, 4219, 4885, 57861, 6833}},
-{12424, 17, 57017, {1, 3, 3, 1, 17, 59, 53, 15, 259, 791, 2035, 499, 7707, 13685, 14367, 20155, 91033}},
-{12425, 17, 57018, {1, 3, 5, 5, 11, 11, 69, 237, 139, 73, 541, 1135, 2647, 14109, 18113, 8051, 31917}},
-{12426, 17, 57031, {1, 1, 1, 15, 11, 23, 89, 181, 295, 743, 29, 4009, 4683, 13989, 4575, 38865, 30449}},
-{12427, 17, 57059, {1, 1, 1, 11, 21, 63, 31, 121, 55, 153, 1143, 4059, 3247, 11725, 17659, 48935, 118369}},
-{12428, 17, 57062, {1, 1, 7, 9, 17, 29, 27, 167, 69, 957, 2009, 2795, 3161, 3493, 16365, 43637, 102321}},
-{12429, 17, 57065, {1, 3, 5, 13, 27, 23, 17, 7, 345, 253, 631, 1389, 2523, 9993, 32619, 46731, 4757}},
-{12430, 17, 57071, {1, 1, 1, 11, 17, 1, 41, 107, 25, 183, 1361, 1211, 3607, 12713, 16011, 42987, 36415}},
-{12431, 17, 57083, {1, 1, 7, 5, 13, 29, 33, 69, 261, 213, 73, 3737, 3867, 503, 28225, 53735, 91695}},
-{12432, 17, 57093, {1, 3, 7, 7, 21, 63, 75, 39, 259, 367, 487, 2087, 5411, 1925, 29589, 39019, 73283}},
-{12433, 17, 57097, {1, 3, 1, 7, 29, 29, 25, 191, 91, 509, 1485, 853, 7011, 13321, 27769, 10249, 87341}},
-{12434, 17, 57106, {1, 1, 7, 7, 1, 9, 115, 71, 321, 913, 1679, 2129, 771, 9217, 4731, 24353, 35631}},
-{12435, 17, 57118, {1, 3, 1, 13, 5, 45, 53, 255, 429, 805, 1983, 1437, 2677, 6337, 22221, 55455, 39855}},
-{12436, 17, 57133, {1, 1, 1, 1, 1, 5, 111, 231, 321, 961, 371, 3825, 3623, 3985, 32151, 6113, 130687}},
-{12437, 17, 57134, {1, 3, 7, 3, 15, 29, 103, 181, 261, 149, 1161, 1745, 1765, 1677, 20051, 47033, 84997}},
-{12438, 17, 57141, {1, 3, 7, 1, 25, 21, 7, 229, 407, 673, 1525, 1207, 3099, 14849, 22103, 45695, 85951}},
-{12439, 17, 57146, {1, 3, 7, 1, 9, 5, 105, 149, 181, 81, 1589, 3477, 5387, 7943, 29203, 50355, 39001}},
-{12440, 17, 57156, {1, 3, 7, 1, 21, 31, 39, 121, 397, 1023, 711, 623, 6193, 12315, 11101, 11911, 50033}},
-{12441, 17, 57174, {1, 3, 7, 3, 7, 19, 73, 69, 201, 337, 1037, 3663, 2679, 5153, 28171, 24455, 74685}},
-{12442, 17, 57183, {1, 3, 1, 1, 21, 35, 121, 111, 217, 809, 507, 1347, 4439, 4601, 26371, 23595, 3583}},
-{12443, 17, 57189, {1, 3, 3, 7, 1, 51, 83, 231, 419, 597, 305, 3405, 5831, 11845, 1861, 48671, 105315}},
-{12444, 17, 57190, {1, 3, 1, 15, 25, 37, 103, 141, 495, 727, 1919, 2821, 4689, 6727, 27117, 2259, 54559}},
-{12445, 17, 57193, {1, 3, 5, 3, 27, 55, 5, 117, 199, 979, 1745, 401, 7967, 5345, 29747, 54085, 124765}},
-{12446, 17, 57196, {1, 3, 3, 15, 23, 61, 1, 29, 489, 131, 583, 389, 6033, 8007, 22933, 44513, 111845}},
-{12447, 17, 57207, {1, 1, 7, 13, 3, 55, 119, 147, 181, 485, 793, 3593, 6971, 2227, 28507, 62393, 127303}},
-{12448, 17, 57211, {1, 1, 5, 3, 29, 53, 37, 59, 213, 283, 1809, 3685, 2677, 5761, 19705, 47079, 3477}},
-{12449, 17, 57214, {1, 1, 1, 7, 21, 63, 91, 13, 347, 605, 589, 415, 5737, 10281, 30941, 25609, 67973}},
-{12450, 17, 57218, {1, 1, 3, 1, 27, 49, 87, 161, 507, 693, 59, 1375, 6737, 1029, 14731, 32335, 51961}},
-{12451, 17, 57230, {1, 3, 3, 9, 11, 15, 121, 121, 151, 335, 221, 3099, 1999, 1047, 20891, 23015, 95809}},
-{12452, 17, 57235, {1, 1, 7, 7, 1, 49, 63, 227, 113, 161, 863, 801, 2559, 7737, 27619, 27419, 128009}},
-{12453, 17, 57241, {1, 1, 7, 1, 25, 59, 67, 111, 435, 309, 807, 2107, 8077, 9671, 6739, 53757, 41259}},
-{12454, 17, 57251, {1, 3, 7, 3, 3, 19, 7, 111, 237, 981, 1717, 3131, 6631, 467, 13103, 61435, 126469}},
-{12455, 17, 57260, {1, 1, 7, 9, 19, 31, 59, 185, 199, 111, 351, 611, 6355, 1095, 28549, 32871, 44537}},
-{12456, 17, 57263, {1, 1, 3, 11, 23, 25, 31, 1, 461, 83, 1723, 1711, 3679, 10963, 14927, 17377, 911}},
-{12457, 17, 57265, {1, 1, 5, 13, 3, 37, 127, 159, 199, 223, 1097, 3033, 5825, 13777, 22189, 44305, 20509}},
-{12458, 17, 57271, {1, 1, 5, 15, 13, 49, 17, 79, 289, 601, 1023, 657, 1687, 14477, 15929, 4279, 68007}},
-{12459, 17, 57272, {1, 1, 5, 7, 29, 3, 45, 225, 65, 711, 1039, 3585, 4957, 9041, 22761, 26649, 95627}},
-{12460, 17, 57290, {1, 3, 5, 5, 13, 29, 33, 211, 461, 799, 1437, 1057, 485, 9535, 8133, 57527, 12873}},
-{12461, 17, 57295, {1, 1, 3, 3, 15, 43, 53, 15, 395, 561, 1371, 3543, 7707, 2399, 13311, 25641, 58865}},
-{12462, 17, 57298, {1, 3, 1, 7, 1, 9, 115, 39, 249, 87, 835, 97, 8137, 6665, 11951, 21045, 76387}},
-{12463, 17, 57325, {1, 3, 3, 9, 5, 63, 115, 163, 331, 1007, 733, 4027, 2911, 5329, 6967, 3535, 107293}},
-{12464, 17, 57328, {1, 3, 1, 11, 5, 55, 81, 63, 345, 535, 1093, 207, 4053, 9129, 10397, 26641, 95171}},
-{12465, 17, 57340, {1, 1, 3, 3, 13, 27, 65, 37, 255, 69, 19, 2565, 4329, 11223, 18131, 18701, 31111}},
-{12466, 17, 57344, {1, 3, 7, 7, 25, 57, 81, 189, 227, 377, 829, 1583, 1343, 4643, 23485, 47463, 83535}},
-{12467, 17, 57353, {1, 3, 5, 9, 13, 33, 103, 75, 501, 803, 427, 1171, 1187, 2655, 24187, 32907, 120239}},
-{12468, 17, 57368, {1, 3, 1, 7, 31, 63, 21, 137, 241, 63, 1925, 2193, 1135, 11159, 14685, 28397, 59}},
-{12469, 17, 57371, {1, 1, 7, 1, 15, 7, 85, 87, 493, 63, 561, 1069, 5481, 12253, 25149, 35283, 16123}},
-{12470, 17, 57383, {1, 3, 3, 5, 19, 17, 23, 95, 429, 805, 1343, 2243, 233, 7219, 6549, 21477, 83679}},
-{12471, 17, 57402, {1, 3, 3, 1, 3, 55, 83, 107, 131, 311, 741, 781, 6227, 10059, 3903, 235, 45971}},
-{12472, 17, 57407, {1, 1, 3, 13, 21, 43, 79, 149, 367, 755, 463, 221, 5117, 7015, 17599, 64665, 37443}},
-{12473, 17, 57419, {1, 1, 7, 15, 3, 59, 107, 13, 213, 287, 1505, 2131, 6965, 12873, 23973, 8449, 24829}},
-{12474, 17, 57424, {1, 3, 5, 11, 25, 45, 39, 17, 175, 749, 1179, 3349, 6723, 12543, 3557, 34521, 103197}},
-{12475, 17, 57433, {1, 1, 3, 13, 23, 41, 21, 25, 91, 941, 879, 4015, 137, 12949, 17245, 41903, 39803}},
-{12476, 17, 57452, {1, 1, 7, 15, 11, 33, 45, 127, 321, 895, 1543, 4013, 6179, 14209, 13317, 46803, 99891}},
-{12477, 17, 57458, {1, 3, 3, 13, 13, 11, 101, 11, 177, 869, 509, 2323, 449, 16379, 31965, 2899, 59229}},
-{12478, 17, 57467, {1, 1, 5, 7, 15, 37, 113, 237, 463, 489, 1145, 1629, 3101, 10305, 31705, 29957, 99665}},
-{12479, 17, 57470, {1, 3, 5, 7, 21, 29, 45, 133, 367, 657, 1315, 537, 6069, 8141, 31479, 32983, 57}},
-{12480, 17, 57473, {1, 1, 3, 9, 13, 39, 109, 125, 467, 975, 829, 4007, 773, 6639, 8793, 4579, 60547}},
-{12481, 17, 57479, {1, 1, 1, 15, 21, 5, 113, 51, 159, 501, 1921, 4095, 5603, 16055, 16649, 50229, 49863}},
-{12482, 17, 57480, {1, 1, 5, 13, 9, 21, 77, 187, 355, 299, 1017, 491, 6725, 4177, 16739, 15909, 84069}},
-{12483, 17, 57486, {1, 3, 7, 5, 13, 13, 51, 19, 159, 339, 735, 933, 2523, 11435, 20793, 21975, 19007}},
-{12484, 17, 57491, {1, 1, 7, 5, 1, 11, 61, 111, 129, 643, 1741, 945, 7349, 11579, 24793, 1751, 2367}},
-{12485, 17, 57493, {1, 1, 5, 5, 29, 45, 63, 177, 507, 277, 1789, 729, 4277, 10099, 28985, 43009, 2319}},
-{12486, 17, 57524, {1, 3, 3, 13, 19, 53, 73, 227, 487, 131, 1227, 3735, 3979, 7383, 6923, 31979, 6651}},
-{12487, 17, 57528, {1, 3, 3, 15, 7, 47, 31, 255, 317, 621, 497, 4069, 5249, 15093, 18013, 6891, 81893}},
-{12488, 17, 57534, {1, 1, 7, 5, 17, 23, 119, 27, 55, 555, 221, 2693, 1757, 11117, 23409, 21135, 122977}},
-{12489, 17, 57542, {1, 1, 5, 1, 15, 17, 127, 109, 75, 1017, 1167, 2975, 3249, 5399, 12599, 50779, 78215}},
-{12490, 17, 57560, {1, 3, 5, 5, 1, 13, 65, 199, 101, 75, 513, 493, 6931, 9363, 5607, 16331, 69219}},
-{12491, 17, 57565, {1, 1, 1, 15, 19, 37, 63, 177, 397, 645, 905, 1599, 609, 14291, 14681, 46719, 117745}},
-{12492, 17, 57570, {1, 3, 7, 13, 3, 57, 63, 49, 67, 913, 1659, 1857, 3595, 9219, 11341, 39735, 82275}},
-{12493, 17, 57579, {1, 1, 5, 11, 19, 1, 5, 181, 55, 763, 469, 2417, 2349, 12437, 22589, 17867, 95701}},
-{12494, 17, 57590, {1, 3, 7, 13, 1, 9, 11, 159, 103, 737, 1989, 59, 4711, 8093, 31703, 45663, 92913}},
-{12495, 17, 57601, {1, 3, 3, 11, 15, 9, 35, 217, 299, 479, 1539, 2605, 2003, 8841, 27261, 28853, 98877}},
-{12496, 17, 57604, {1, 1, 5, 5, 15, 45, 73, 159, 205, 1017, 159, 3659, 2377, 3651, 6489, 19711, 109959}},
-{12497, 17, 57607, {1, 1, 3, 15, 7, 41, 7, 47, 357, 433, 211, 111, 2565, 8637, 15917, 47887, 128513}},
-{12498, 17, 57621, {1, 3, 7, 3, 25, 9, 33, 33, 5, 805, 1541, 3333, 7257, 9011, 4813, 53195, 52469}},
-{12499, 17, 57635, {1, 1, 7, 15, 27, 3, 11, 57, 415, 371, 563, 2515, 149, 6555, 31273, 51465, 2989}},
-{12500, 17, 57642, {1, 1, 1, 11, 3, 41, 25, 175, 499, 879, 1145, 1083, 7857, 10497, 16991, 23351, 115353}},
-{12501, 17, 57650, {1, 1, 3, 15, 15, 9, 39, 239, 285, 413, 989, 2927, 7205, 79, 20101, 30115, 113933}},
-{12502, 17, 57655, {1, 1, 7, 5, 13, 29, 29, 69, 25, 533, 1731, 1391, 4065, 12597, 19167, 51989, 101273}},
-{12503, 17, 57670, {1, 1, 5, 3, 9, 41, 83, 127, 197, 627, 173, 273, 593, 15733, 19285, 26517, 107877}},
-{12504, 17, 57676, {1, 1, 1, 5, 29, 17, 89, 163, 125, 473, 1577, 2435, 3379, 3057, 1829, 64325, 111719}},
-{12505, 17, 57682, {1, 3, 1, 11, 1, 29, 97, 53, 421, 941, 1737, 3337, 2715, 1633, 28485, 30369, 116047}},
-{12506, 17, 57687, {1, 1, 5, 13, 25, 43, 39, 85, 385, 129, 819, 1647, 3527, 12319, 573, 58703, 29463}},
-{12507, 17, 57691, {1, 3, 3, 9, 23, 59, 31, 215, 49, 451, 645, 3687, 4507, 9359, 28161, 34609, 123409}},
-{12508, 17, 57700, {1, 3, 1, 9, 13, 25, 97, 239, 203, 31, 1465, 1089, 7665, 3007, 22465, 28389, 119869}},
-{12509, 17, 57704, {1, 3, 3, 1, 29, 51, 19, 83, 443, 193, 647, 3125, 7269, 3031, 9967, 40447, 102179}},
-{12510, 17, 57707, {1, 3, 5, 15, 5, 63, 125, 55, 295, 787, 559, 3309, 7491, 9907, 5775, 15155, 41793}},
-{12511, 17, 57721, {1, 3, 7, 7, 21, 61, 125, 207, 43, 159, 539, 435, 1945, 725, 797, 47489, 43099}},
-{12512, 17, 57731, {1, 1, 5, 7, 11, 11, 61, 103, 23, 693, 493, 1045, 4435, 9009, 22075, 24839, 125431}},
-{12513, 17, 57733, {1, 3, 1, 9, 13, 61, 83, 181, 373, 949, 1397, 247, 5079, 10933, 31887, 14147, 55121}},
-{12514, 17, 57738, {1, 1, 7, 15, 31, 47, 87, 219, 357, 409, 943, 2993, 7615, 7071, 14179, 41489, 104401}},
-{12515, 17, 57745, {1, 3, 3, 1, 11, 15, 87, 241, 389, 761, 1523, 3049, 2111, 11581, 5493, 11301, 32017}},
-{12516, 17, 57748, {1, 1, 7, 11, 29, 39, 37, 63, 411, 671, 1789, 3541, 5651, 11721, 10871, 53867, 112895}},
-{12517, 17, 57751, {1, 3, 3, 1, 23, 21, 99, 161, 467, 197, 1263, 451, 5469, 7667, 22139, 31599, 8345}},
-{12518, 17, 57757, {1, 3, 1, 3, 11, 41, 13, 79, 3, 377, 1865, 2297, 1383, 14033, 17141, 24787, 127911}},
-{12519, 17, 57761, {1, 1, 1, 1, 5, 11, 5, 181, 323, 853, 831, 1599, 3939, 6391, 22817, 37969, 9997}},
-{12520, 17, 57774, {1, 1, 3, 11, 29, 61, 11, 171, 181, 631, 757, 3879, 4779, 16183, 5969, 7909, 42855}},
-{12521, 17, 57779, {1, 3, 3, 15, 19, 17, 107, 187, 19, 743, 909, 1963, 2131, 2107, 659, 35829, 57905}},
-{12522, 17, 57786, {1, 1, 7, 1, 31, 29, 67, 99, 353, 715, 65, 3907, 1931, 1289, 9217, 60635, 32737}},
-{12523, 17, 57808, {1, 3, 3, 13, 3, 17, 19, 173, 263, 203, 1233, 1407, 933, 8905, 26905, 63343, 64963}},
-{12524, 17, 57814, {1, 3, 1, 13, 21, 43, 97, 79, 163, 529, 1571, 1027, 4339, 16235, 9189, 29203, 36789}},
-{12525, 17, 57817, {1, 1, 7, 1, 31, 1, 117, 247, 193, 333, 1797, 3515, 285, 2803, 25345, 9101, 110569}},
-{12526, 17, 57824, {1, 1, 5, 11, 17, 63, 45, 167, 35, 925, 569, 3687, 6739, 12453, 26171, 28249, 73827}},
-{12527, 17, 57827, {1, 1, 5, 1, 19, 49, 107, 183, 435, 305, 1191, 2711, 891, 15813, 13449, 23489, 89749}},
-{12528, 17, 57848, {1, 1, 1, 11, 7, 53, 105, 17, 433, 351, 1151, 4077, 5371, 10183, 18895, 13229, 101219}},
-{12529, 17, 57853, {1, 3, 7, 9, 21, 33, 27, 125, 177, 607, 817, 2689, 2123, 2037, 29643, 27219, 44591}},
-{12530, 17, 57857, {1, 3, 5, 11, 27, 51, 29, 161, 469, 349, 1445, 3613, 1487, 961, 29017, 2235, 45905}},
-{12531, 17, 57858, {1, 1, 3, 11, 7, 15, 37, 195, 329, 875, 559, 1361, 7373, 7143, 15059, 59205, 37167}},
-{12532, 17, 57867, {1, 1, 5, 1, 7, 25, 27, 211, 301, 369, 227, 123, 4415, 15993, 4829, 43801, 83639}},
-{12533, 17, 57872, {1, 1, 3, 5, 25, 37, 31, 205, 69, 275, 855, 1407, 2989, 11001, 16963, 31497, 3505}},
-{12534, 17, 57887, {1, 1, 7, 7, 25, 33, 81, 181, 197, 717, 207, 535, 8083, 5765, 2523, 40347, 27245}},
-{12535, 17, 57894, {1, 3, 1, 5, 13, 3, 107, 143, 233, 419, 1831, 2149, 7277, 13449, 31609, 48345, 82621}},
-{12536, 17, 57915, {1, 3, 5, 9, 31, 35, 39, 113, 415, 803, 1479, 3169, 8015, 4659, 2445, 9159, 91625}},
-{12537, 17, 57920, {1, 3, 1, 5, 27, 25, 83, 165, 459, 955, 1535, 377, 5531, 2945, 18285, 18097, 21589}},
-{12538, 17, 57923, {1, 1, 1, 15, 13, 23, 11, 159, 471, 951, 1971, 677, 2641, 3227, 14761, 39421, 29841}},
-{12539, 17, 57932, {1, 1, 7, 11, 19, 37, 101, 97, 373, 559, 105, 905, 897, 15309, 14979, 52029, 38989}},
-{12540, 17, 57937, {1, 1, 5, 15, 31, 43, 71, 75, 481, 997, 5, 1005, 4987, 7907, 16237, 43075, 94827}},
-{12541, 17, 57943, {1, 3, 5, 11, 23, 55, 123, 91, 183, 307, 97, 1999, 3341, 4717, 19643, 9455, 26555}},
-{12542, 17, 57950, {1, 1, 7, 3, 29, 61, 75, 197, 125, 579, 145, 1333, 85, 15655, 28177, 6169, 43289}},
-{12543, 17, 57960, {1, 3, 7, 13, 21, 15, 1, 221, 293, 991, 35, 2701, 2909, 7333, 27319, 32281, 77861}},
-{12544, 17, 57971, {1, 1, 3, 1, 17, 11, 81, 209, 499, 125, 105, 2987, 3891, 9531, 27963, 39611, 43633}},
-{12545, 17, 57974, {1, 3, 3, 3, 29, 45, 51, 63, 209, 75, 1321, 4055, 7851, 12329, 8371, 59513, 49105}},
-{12546, 17, 57983, {1, 1, 7, 5, 9, 63, 59, 127, 445, 899, 1857, 3737, 625, 15021, 25177, 21007, 25935}},
-{12547, 17, 57987, {1, 1, 5, 9, 9, 57, 25, 63, 235, 191, 1527, 1783, 1401, 1813, 2553, 1241, 100029}},
-{12548, 17, 57994, {1, 3, 1, 11, 27, 5, 49, 39, 505, 653, 1083, 921, 1045, 11337, 25499, 36211, 75851}},
-{12549, 17, 58001, {1, 3, 3, 1, 29, 19, 71, 93, 223, 153, 561, 1657, 5821, 14181, 1275, 24633, 114787}},
-{12550, 17, 58002, {1, 1, 1, 9, 7, 13, 17, 239, 457, 731, 1811, 3015, 4465, 5865, 2387, 30455, 17405}},
-{12551, 17, 58013, {1, 3, 5, 1, 7, 45, 117, 207, 7, 645, 131, 863, 6443, 14455, 11885, 39257, 126431}},
-{12552, 17, 58023, {1, 1, 3, 5, 17, 23, 3, 27, 475, 731, 431, 1967, 981, 12727, 1301, 17647, 62481}},
-{12553, 17, 58027, {1, 1, 1, 13, 11, 53, 105, 109, 105, 461, 1787, 2851, 1299, 9925, 13055, 58301, 24483}},
-{12554, 17, 58029, {1, 1, 1, 11, 7, 35, 11, 173, 247, 289, 1269, 361, 2059, 5051, 25731, 58085, 21387}},
-{12555, 17, 58032, {1, 3, 1, 5, 9, 31, 59, 151, 435, 519, 1863, 2255, 2585, 10033, 29189, 27189, 25023}},
-{12556, 17, 58041, {1, 1, 5, 5, 25, 17, 53, 189, 187, 847, 369, 3287, 6047, 2385, 26045, 48821, 23335}},
-{12557, 17, 58047, {1, 1, 1, 9, 15, 55, 79, 21, 433, 131, 1677, 3681, 6173, 9189, 15053, 12971, 81135}},
-{12558, 17, 58062, {1, 1, 3, 5, 29, 5, 11, 213, 151, 77, 1493, 3959, 7675, 7689, 10381, 15871, 123463}},
-{12559, 17, 58086, {1, 3, 7, 11, 19, 47, 31, 81, 207, 789, 1945, 2671, 1987, 6363, 26401, 9799, 59531}},
-{12560, 17, 58092, {1, 1, 1, 7, 17, 7, 83, 181, 339, 423, 267, 2251, 1847, 14883, 13423, 27223, 81799}},
-{12561, 17, 58095, {1, 3, 5, 15, 9, 9, 73, 95, 197, 267, 743, 2369, 6417, 3555, 9885, 6373, 87651}},
-{12562, 17, 58097, {1, 1, 3, 13, 21, 29, 57, 59, 395, 631, 993, 17, 2939, 14117, 27521, 61387, 74927}},
-{12563, 17, 58100, {1, 1, 3, 13, 1, 29, 23, 151, 381, 591, 1217, 2295, 4403, 15865, 4325, 31329, 56989}},
-{12564, 17, 58117, {1, 3, 5, 1, 27, 7, 111, 79, 287, 945, 1237, 2857, 1461, 2477, 10929, 17117, 98677}},
-{12565, 17, 58121, {1, 1, 1, 5, 15, 35, 109, 39, 391, 57, 1783, 3133, 5563, 7721, 12651, 3437, 46697}},
-{12566, 17, 58132, {1, 3, 5, 5, 13, 47, 123, 51, 383, 91, 641, 1607, 4461, 7, 6427, 42755, 130097}},
-{12567, 17, 58142, {1, 1, 5, 5, 25, 49, 33, 59, 351, 1003, 301, 2721, 7705, 5447, 21367, 63007, 112465}},
-{12568, 17, 58145, {1, 1, 5, 13, 31, 11, 73, 1, 359, 201, 1465, 187, 7385, 12817, 12911, 17775, 77937}},
-{12569, 17, 58152, {1, 3, 1, 15, 29, 5, 117, 69, 79, 93, 947, 133, 1049, 13907, 3611, 42123, 8041}},
-{12570, 17, 58155, {1, 1, 7, 7, 29, 17, 71, 171, 357, 619, 1199, 3817, 6889, 9607, 19075, 15539, 54939}},
-{12571, 17, 58163, {1, 1, 1, 7, 23, 29, 91, 227, 119, 865, 943, 381, 5289, 189, 15917, 13875, 31095}},
-{12572, 17, 58166, {1, 1, 7, 1, 9, 49, 93, 175, 105, 61, 1285, 3659, 2383, 505, 12337, 43801, 67035}},
-{12573, 17, 58170, {1, 3, 5, 1, 31, 47, 75, 17, 455, 231, 1887, 2295, 2533, 733, 29001, 22001, 119423}},
-{12574, 17, 58175, {1, 3, 7, 3, 5, 5, 69, 205, 459, 805, 1257, 3283, 3305, 6845, 1405, 56051, 63453}},
-{12575, 17, 58184, {1, 3, 3, 3, 19, 57, 65, 149, 175, 683, 1719, 637, 4951, 13645, 30455, 22379, 105369}},
-{12576, 17, 58197, {1, 3, 1, 11, 31, 27, 69, 13, 191, 645, 1563, 3897, 2387, 2269, 12999, 42217, 100853}},
-{12577, 17, 58202, {1, 3, 1, 13, 31, 7, 11, 227, 267, 373, 1249, 2591, 4769, 303, 5865, 59911, 4991}},
-{12578, 17, 58204, {1, 3, 7, 11, 7, 31, 87, 205, 45, 785, 1947, 1965, 5851, 7501, 89, 38897, 91939}},
-{12579, 17, 58208, {1, 3, 5, 9, 21, 37, 79, 181, 163, 355, 1129, 3439, 5103, 15903, 2935, 22505, 97451}},
-{12580, 17, 58213, {1, 1, 3, 9, 7, 37, 107, 255, 69, 133, 551, 1357, 31, 7059, 29195, 30151, 81785}},
-{12581, 17, 58220, {1, 3, 3, 5, 3, 51, 3, 143, 305, 697, 1041, 1267, 7635, 1483, 649, 28275, 65059}},
-{12582, 17, 58226, {1, 3, 1, 7, 11, 13, 113, 81, 159, 993, 797, 3207, 3787, 13005, 29393, 51107, 42709}},
-{12583, 17, 58231, {1, 1, 3, 13, 7, 11, 113, 195, 349, 377, 2033, 197, 147, 13839, 5405, 29577, 64535}},
-{12584, 17, 58235, {1, 3, 1, 9, 1, 1, 77, 73, 383, 463, 1871, 1589, 1805, 2085, 5195, 17805, 33159}},
-{12585, 17, 58254, {1, 1, 1, 9, 25, 37, 123, 119, 507, 515, 1547, 139, 7501, 4725, 30195, 18199, 41145}},
-{12586, 17, 58261, {1, 3, 3, 7, 17, 33, 99, 11, 487, 343, 403, 337, 3831, 6031, 20375, 2071, 39795}},
-{12587, 17, 58271, {1, 1, 5, 1, 13, 57, 59, 11, 391, 953, 597, 1411, 3929, 13963, 15003, 59385, 12293}},
-{12588, 17, 58278, {1, 3, 1, 15, 23, 61, 67, 129, 63, 555, 433, 631, 2725, 317, 10121, 9217, 124371}},
-{12589, 17, 58287, {1, 1, 5, 7, 19, 23, 17, 45, 75, 819, 1879, 2315, 1439, 2643, 26561, 19209, 16081}},
-{12590, 17, 58327, {1, 3, 5, 7, 5, 35, 121, 233, 91, 89, 1741, 3015, 4223, 9605, 22795, 55845, 47167}},
-{12591, 17, 58333, {1, 3, 7, 7, 13, 23, 11, 51, 91, 367, 773, 1303, 2151, 14423, 22263, 28413, 107461}},
-{12592, 17, 58337, {1, 1, 1, 11, 29, 17, 49, 53, 379, 819, 1551, 2907, 5805, 2167, 16123, 9263, 43903}},
-{12593, 17, 58357, {1, 3, 1, 13, 19, 27, 33, 127, 131, 697, 489, 3289, 1895, 3243, 19497, 32419, 55741}},
-{12594, 17, 58362, {1, 3, 1, 15, 7, 51, 91, 45, 251, 829, 2015, 2659, 151, 3327, 25281, 49291, 106343}},
-{12595, 17, 58364, {1, 1, 5, 5, 27, 11, 85, 45, 203, 413, 293, 3067, 4109, 959, 22337, 38767, 75829}},
-{12596, 17, 58375, {1, 1, 3, 5, 21, 35, 65, 173, 315, 423, 171, 3837, 817, 10153, 5517, 18115, 117437}},
-{12597, 17, 58384, {1, 1, 1, 7, 9, 29, 101, 55, 253, 37, 1717, 7, 3181, 1067, 20637, 54773, 106777}},
-{12598, 17, 58387, {1, 3, 7, 11, 13, 11, 87, 83, 83, 969, 589, 3625, 3373, 3921, 24487, 34235, 96289}},
-{12599, 17, 58405, {1, 3, 1, 11, 25, 35, 65, 131, 491, 167, 449, 2949, 5807, 5649, 7569, 37363, 106819}},
-{12600, 17, 58406, {1, 1, 5, 1, 9, 37, 33, 237, 79, 163, 1791, 3499, 4951, 2009, 16183, 10121, 40221}},
-{12601, 17, 58417, {1, 1, 5, 15, 21, 49, 123, 53, 27, 273, 1655, 3713, 5699, 1659, 31985, 6779, 10195}},
-{12602, 17, 58424, {1, 3, 5, 11, 27, 37, 93, 17, 263, 41, 1583, 703, 7689, 6667, 15497, 15255, 67153}},
-{12603, 17, 58435, {1, 1, 5, 9, 19, 13, 121, 39, 321, 177, 711, 3223, 3859, 14775, 19061, 40587, 97199}},
-{12604, 17, 58450, {1, 3, 7, 9, 23, 11, 93, 243, 3, 811, 679, 1103, 7579, 14147, 20255, 22485, 117179}},
-{12605, 17, 58452, {1, 3, 3, 5, 23, 9, 21, 243, 27, 501, 1273, 1501, 5331, 15663, 19483, 10637, 90905}},
-{12606, 17, 58459, {1, 3, 1, 15, 13, 11, 89, 37, 63, 463, 731, 3615, 3923, 4677, 21329, 1069, 57565}},
-{12607, 17, 58461, {1, 1, 1, 13, 19, 39, 63, 59, 389, 367, 1285, 2005, 8103, 4179, 3805, 55475, 126589}},
-{12608, 17, 58466, {1, 3, 5, 11, 27, 57, 27, 63, 365, 171, 665, 2035, 2831, 15955, 11551, 26741, 121059}},
-{12609, 17, 58468, {1, 3, 3, 3, 23, 19, 13, 7, 331, 613, 1783, 733, 7465, 1089, 4683, 15695, 31125}},
-{12610, 17, 58485, {1, 1, 5, 3, 3, 23, 95, 157, 303, 987, 307, 2679, 6173, 6633, 17727, 30901, 76109}},
-{12611, 17, 58489, {1, 1, 1, 1, 11, 21, 111, 81, 31, 727, 1133, 4083, 5811, 2707, 31749, 42939, 92225}},
-{12612, 17, 58492, {1, 3, 1, 11, 29, 21, 31, 115, 351, 213, 201, 3511, 3707, 12821, 8845, 59789, 59721}},
-{12613, 17, 58495, {1, 3, 5, 9, 7, 27, 65, 1, 305, 937, 1201, 2045, 2431, 12275, 24431, 3317, 119671}},
-{12614, 17, 58505, {1, 1, 7, 11, 19, 43, 107, 107, 261, 933, 1125, 1875, 1943, 7477, 20759, 57853, 29459}},
-{12615, 17, 58523, {1, 1, 3, 3, 17, 43, 79, 19, 167, 341, 237, 677, 725, 2353, 12003, 48921, 20707}},
-{12616, 17, 58535, {1, 3, 3, 5, 31, 39, 91, 81, 121, 59, 737, 1767, 4407, 9159, 10237, 25361, 38891}},
-{12617, 17, 58536, {1, 1, 5, 7, 31, 47, 37, 47, 171, 623, 597, 2807, 4875, 15139, 18809, 24279, 36563}},
-{12618, 17, 58549, {1, 3, 5, 3, 3, 7, 31, 135, 81, 777, 1055, 337, 4309, 9575, 11075, 54429, 30097}},
-{12619, 17, 58550, {1, 1, 5, 1, 3, 57, 53, 25, 117, 961, 947, 257, 2645, 6935, 27511, 54051, 129095}},
-{12620, 17, 58561, {1, 1, 1, 15, 23, 45, 11, 173, 407, 373, 1051, 3519, 1875, 1291, 4393, 9047, 102159}},
-{12621, 17, 58562, {1, 1, 3, 5, 9, 51, 23, 253, 261, 339, 505, 3601, 265, 8375, 7241, 40715, 114439}},
-{12622, 17, 58573, {1, 1, 7, 7, 3, 63, 5, 233, 259, 947, 1367, 2699, 6029, 9371, 6567, 39961, 31621}},
-{12623, 17, 58576, {1, 1, 3, 3, 25, 43, 73, 61, 305, 257, 235, 421, 6621, 1025, 18831, 44525, 87665}},
-{12624, 17, 58592, {1, 3, 5, 7, 19, 33, 77, 163, 191, 115, 1275, 3551, 3521, 6767, 30209, 48895, 114185}},
-{12625, 17, 58601, {1, 1, 3, 3, 29, 37, 3, 165, 267, 807, 967, 2893, 3287, 12249, 21411, 19291, 91781}},
-{12626, 17, 58622, {1, 1, 5, 5, 27, 55, 51, 137, 429, 775, 1525, 3911, 5367, 5981, 24373, 16331, 31887}},
-{12627, 17, 58627, {1, 1, 5, 11, 17, 49, 37, 243, 509, 563, 1381, 2013, 7341, 10509, 10049, 29135, 32709}},
-{12628, 17, 58629, {1, 1, 3, 13, 1, 33, 119, 5, 477, 701, 1329, 1023, 2091, 12895, 6443, 1053, 44741}},
-{12629, 17, 58634, {1, 3, 5, 7, 13, 19, 1, 113, 3, 481, 1555, 2857, 3519, 7903, 16153, 62909, 78877}},
-{12630, 17, 58639, {1, 1, 7, 11, 7, 27, 47, 175, 87, 605, 411, 4065, 8059, 5023, 27719, 3111, 62247}},
-{12631, 17, 58641, {1, 3, 1, 15, 27, 37, 71, 77, 297, 647, 1651, 2543, 3925, 4827, 28587, 49663, 56581}},
-{12632, 17, 58644, {1, 3, 5, 1, 19, 49, 63, 9, 43, 243, 931, 3577, 2371, 10513, 13691, 27739, 61011}},
-{12633, 17, 58654, {1, 1, 3, 1, 23, 27, 53, 149, 157, 735, 1087, 1529, 6613, 2493, 4879, 26771, 123711}},
-{12634, 17, 58663, {1, 3, 7, 13, 5, 3, 43, 3, 343, 497, 943, 3443, 4335, 4779, 4033, 25871, 10965}},
-{12635, 17, 58667, {1, 3, 5, 1, 5, 11, 93, 73, 199, 455, 421, 3495, 4381, 717, 21033, 41287, 44743}},
-{12636, 17, 58677, {1, 1, 3, 9, 13, 33, 77, 143, 81, 57, 1061, 3205, 2411, 1347, 23149, 21913, 119331}},
-{12637, 17, 58682, {1, 3, 1, 7, 1, 15, 45, 247, 119, 905, 457, 3939, 4865, 11191, 27705, 46315, 68367}},
-{12638, 17, 58690, {1, 3, 3, 15, 31, 5, 55, 169, 381, 1009, 1893, 2751, 411, 8653, 30367, 54919, 23541}},
-{12639, 17, 58692, {1, 3, 7, 1, 29, 27, 77, 239, 109, 125, 355, 2759, 2229, 3435, 16241, 53309, 613}},
-{12640, 17, 58695, {1, 3, 1, 3, 11, 27, 33, 167, 311, 1003, 1635, 2479, 1831, 6225, 17711, 30185, 87043}},
-{12641, 17, 58710, {1, 3, 7, 13, 7, 61, 3, 243, 55, 259, 461, 3357, 121, 9107, 19393, 3719, 71403}},
-{12642, 17, 58713, {1, 1, 7, 15, 23, 25, 55, 89, 241, 297, 113, 59, 4799, 381, 29127, 811, 91149}},
-{12643, 17, 58723, {1, 1, 3, 3, 13, 35, 43, 163, 69, 69, 1949, 2383, 887, 2349, 12539, 167, 23697}},
-{12644, 17, 58740, {1, 3, 3, 11, 3, 45, 23, 149, 55, 963, 1293, 2715, 1401, 16081, 12821, 2129, 26835}},
-{12645, 17, 58749, {1, 3, 3, 13, 29, 47, 21, 249, 141, 179, 627, 329, 6377, 12049, 11715, 1447, 119359}},
-{12646, 17, 58760, {1, 1, 5, 13, 7, 59, 103, 189, 401, 169, 455, 1197, 1881, 12679, 4533, 25561, 79281}},
-{12647, 17, 58766, {1, 1, 7, 15, 21, 59, 97, 77, 397, 487, 647, 2277, 269, 713, 17741, 37387, 100143}},
-{12648, 17, 58773, {1, 3, 5, 1, 1, 43, 31, 201, 21, 805, 1533, 1407, 4719, 2673, 22757, 7605, 72485}},
-{12649, 17, 58780, {1, 1, 3, 11, 27, 25, 99, 135, 225, 367, 1311, 683, 7193, 8209, 17081, 55709, 3029}},
-{12650, 17, 58787, {1, 3, 5, 5, 17, 9, 59, 27, 153, 353, 647, 2919, 1877, 5359, 19787, 46237, 7}},
-{12651, 17, 58796, {1, 3, 3, 15, 11, 39, 75, 223, 489, 57, 1355, 3941, 6603, 12883, 20909, 24065, 53543}},
-{12652, 17, 58816, {1, 1, 3, 9, 17, 47, 61, 49, 397, 23, 2019, 37, 23, 8967, 10357, 54419, 27279}},
-{12653, 17, 58822, {1, 1, 1, 7, 31, 43, 87, 111, 293, 969, 1431, 2275, 3131, 2915, 24595, 63049, 71517}},
-{12654, 17, 58831, {1, 1, 3, 11, 11, 63, 89, 33, 95, 299, 593, 3353, 7389, 841, 1895, 64835, 19915}},
-{12655, 17, 58839, {1, 1, 1, 3, 13, 63, 51, 3, 327, 401, 1289, 2699, 5599, 5101, 3189, 23415, 53429}},
-{12656, 17, 58849, {1, 1, 7, 13, 27, 15, 57, 201, 365, 643, 171, 2417, 1763, 7567, 5323, 50911, 24281}},
-{12657, 17, 58859, {1, 3, 3, 13, 31, 37, 31, 243, 225, 431, 379, 1565, 1567, 11477, 4641, 58823, 88565}},
-{12658, 17, 58870, {1, 3, 3, 7, 13, 39, 79, 169, 401, 177, 2023, 1703, 5563, 15619, 21445, 59287, 30141}},
-{12659, 17, 58879, {1, 3, 3, 15, 17, 47, 13, 163, 361, 353, 1435, 2083, 4109, 14105, 28585, 1721, 119133}},
-{12660, 17, 58889, {1, 3, 3, 3, 29, 41, 97, 131, 501, 415, 1735, 2315, 6499, 11417, 3879, 3957, 47117}},
-{12661, 17, 58904, {1, 1, 3, 13, 5, 25, 29, 65, 235, 949, 1571, 927, 515, 7519, 23123, 4127, 71019}},
-{12662, 17, 58914, {1, 1, 5, 13, 1, 41, 5, 137, 487, 711, 561, 2495, 5367, 6955, 9453, 54499, 118373}},
-{12663, 17, 58923, {1, 3, 3, 5, 27, 15, 23, 237, 95, 873, 1949, 1579, 7089, 8837, 30463, 9903, 61919}},
-{12664, 17, 58940, {1, 3, 1, 13, 5, 5, 15, 5, 429, 617, 383, 2495, 409, 15541, 11209, 20625, 58493}},
-{12665, 17, 58945, {1, 1, 7, 11, 25, 21, 113, 219, 459, 777, 289, 2435, 6665, 83, 22997, 6561, 82923}},
-{12666, 17, 58952, {1, 1, 1, 7, 19, 53, 37, 249, 273, 639, 2007, 1463, 7819, 9013, 19539, 41235, 58059}},
-{12667, 17, 58960, {1, 1, 3, 11, 13, 51, 97, 55, 237, 159, 1305, 3705, 2527, 13065, 13873, 10275, 3769}},
-{12668, 17, 58965, {1, 1, 5, 7, 13, 49, 41, 13, 301, 461, 1169, 3805, 7163, 4133, 17255, 48283, 87059}},
-{12669, 17, 58986, {1, 3, 7, 15, 9, 19, 45, 195, 445, 145, 543, 2839, 315, 10991, 3317, 46501, 29209}},
-{12670, 17, 59000, {1, 1, 3, 5, 23, 51, 53, 119, 217, 747, 1307, 3039, 5523, 5891, 21035, 56471, 80305}},
-{12671, 17, 59006, {1, 3, 1, 3, 23, 17, 97, 71, 7, 839, 229, 3407, 3025, 1989, 16599, 38755, 11139}},
-{12672, 17, 59027, {1, 1, 7, 7, 7, 19, 67, 43, 293, 191, 1549, 1621, 7083, 11633, 1899, 4515, 89753}},
-{12673, 17, 59034, {1, 3, 7, 11, 1, 23, 17, 63, 265, 709, 453, 1309, 6861, 7257, 17705, 28565, 15231}},
-{12674, 17, 59052, {1, 3, 5, 13, 1, 53, 99, 79, 241, 771, 497, 987, 2353, 6931, 227, 57781, 109583}},
-{12675, 17, 59058, {1, 3, 3, 5, 31, 47, 17, 97, 93, 119, 2045, 3597, 7983, 4993, 30659, 3419, 32803}},
-{12676, 17, 59081, {1, 3, 7, 1, 11, 41, 3, 7, 155, 627, 979, 2405, 7467, 6763, 28523, 56493, 1291}},
-{12677, 17, 59082, {1, 1, 1, 7, 3, 43, 13, 187, 415, 1001, 667, 1371, 8075, 12855, 27215, 9399, 70657}},
-{12678, 17, 59089, {1, 3, 1, 9, 29, 53, 117, 17, 443, 381, 507, 643, 5891, 10725, 20251, 497, 101313}},
-{12679, 17, 59096, {1, 3, 3, 1, 31, 47, 59, 75, 173, 347, 1, 117, 3639, 10231, 863, 56795, 56107}},
-{12680, 17, 59118, {1, 3, 1, 15, 11, 41, 97, 251, 177, 275, 1849, 1281, 3659, 9709, 16239, 7445, 47661}},
-{12681, 17, 59123, {1, 3, 3, 5, 13, 1, 27, 251, 89, 863, 685, 3915, 2201, 4313, 32083, 37171, 120885}},
-{12682, 17, 59126, {1, 3, 3, 3, 3, 11, 77, 135, 147, 475, 505, 611, 4763, 9445, 28639, 51343, 119093}},
-{12683, 17, 59132, {1, 3, 7, 1, 11, 9, 67, 73, 375, 977, 1011, 1621, 6623, 8077, 26321, 7461, 130637}},
-{12684, 17, 59135, {1, 3, 5, 15, 15, 59, 63, 217, 117, 375, 1151, 3451, 5843, 13221, 20673, 10817, 57711}},
-{12685, 17, 59150, {1, 1, 3, 5, 19, 5, 9, 101, 321, 815, 451, 719, 523, 1299, 27823, 48041, 45939}},
-{12686, 17, 59174, {1, 1, 1, 9, 5, 49, 59, 59, 409, 5, 1075, 21, 7837, 4543, 3085, 55473, 89309}},
-{12687, 17, 59177, {1, 3, 3, 13, 9, 31, 93, 181, 153, 795, 713, 933, 6001, 9075, 29781, 14029, 46361}},
-{12688, 17, 59185, {1, 3, 5, 3, 9, 21, 79, 129, 361, 627, 743, 3041, 5381, 3627, 12581, 35183, 83183}},
-{12689, 17, 59195, {1, 3, 3, 3, 29, 29, 93, 187, 341, 727, 181, 133, 6525, 5673, 2739, 23349, 62505}},
-{12690, 17, 59203, {1, 3, 5, 13, 27, 59, 127, 149, 321, 613, 1543, 1537, 2909, 5139, 3755, 49285, 35183}},
-{12691, 17, 59206, {1, 3, 3, 9, 5, 31, 19, 173, 137, 19, 799, 1847, 3897, 15775, 22411, 55405, 95713}},
-{12692, 17, 59234, {1, 3, 5, 5, 31, 1, 87, 97, 481, 797, 459, 793, 4339, 5443, 31717, 6691, 68841}},
-{12693, 17, 59248, {1, 3, 3, 5, 3, 9, 123, 21, 393, 683, 1007, 971, 729, 7113, 2811, 51183, 37093}},
-{12694, 17, 59258, {1, 3, 5, 5, 27, 31, 19, 227, 123, 937, 763, 2117, 3825, 9151, 95, 54963, 62919}},
-{12695, 17, 59260, {1, 3, 1, 3, 23, 21, 21, 7, 7, 165, 99, 3073, 91, 8725, 17613, 47119, 41441}},
-{12696, 17, 59270, {1, 3, 7, 9, 29, 49, 117, 49, 205, 605, 1567, 3323, 1559, 10949, 14349, 34951, 99901}},
-{12697, 17, 59284, {1, 1, 1, 1, 15, 41, 31, 133, 439, 305, 719, 147, 6849, 5947, 31749, 45171, 15265}},
-{12698, 17, 59291, {1, 1, 5, 11, 19, 37, 13, 253, 385, 625, 1801, 1191, 547, 12025, 17971, 54127, 97323}},
-{12699, 17, 59293, {1, 3, 5, 5, 27, 9, 57, 245, 59, 211, 1195, 763, 6743, 6309, 25759, 26633, 27497}},
-{12700, 17, 59297, {1, 3, 5, 5, 9, 51, 49, 29, 213, 855, 305, 3961, 3187, 6815, 19015, 2539, 81705}},
-{12701, 17, 59312, {1, 1, 5, 7, 11, 61, 123, 163, 127, 871, 463, 2279, 5931, 2913, 23215, 40215, 91373}},
-{12702, 17, 59315, {1, 1, 7, 1, 29, 57, 55, 189, 285, 603, 747, 3753, 3359, 10277, 25319, 17569, 80125}},
-{12703, 17, 59327, {1, 3, 1, 9, 7, 53, 9, 55, 117, 495, 2045, 2487, 1625, 775, 17773, 62159, 79537}},
-{12704, 17, 59332, {1, 1, 5, 1, 1, 11, 67, 79, 57, 677, 2045, 3913, 853, 3581, 10509, 35097, 24585}},
-{12705, 17, 59347, {1, 3, 7, 7, 19, 15, 13, 237, 297, 807, 657, 2229, 2931, 10283, 49, 56485, 113889}},
-{12706, 17, 59354, {1, 3, 5, 13, 11, 23, 37, 229, 253, 411, 39, 1069, 3683, 12141, 11087, 64875, 62991}},
-{12707, 17, 59363, {1, 1, 1, 1, 13, 11, 21, 227, 305, 1021, 1039, 3095, 4621, 5723, 31989, 30681, 58487}},
-{12708, 17, 59369, {1, 3, 3, 5, 17, 47, 127, 65, 85, 961, 277, 549, 2111, 4183, 771, 11921, 111489}},
-{12709, 17, 59377, {1, 3, 3, 5, 31, 39, 89, 51, 277, 705, 375, 1603, 2793, 7425, 25065, 44945, 48391}},
-{12710, 17, 59406, {1, 1, 5, 7, 9, 45, 21, 217, 183, 65, 625, 1239, 4241, 8043, 13615, 5611, 82501}},
-{12711, 17, 59413, {1, 1, 7, 13, 15, 51, 29, 35, 73, 601, 233, 3117, 3031, 4229, 4299, 62761, 45291}},
-{12712, 17, 59423, {1, 3, 5, 5, 27, 55, 7, 1, 333, 501, 913, 1939, 5131, 5597, 1271, 30195, 20947}},
-{12713, 17, 59434, {1, 3, 5, 15, 19, 27, 43, 111, 435, 615, 811, 2113, 2503, 7553, 1619, 24773, 40881}},
-{12714, 17, 59441, {1, 3, 5, 11, 11, 31, 21, 147, 151, 141, 527, 1839, 339, 1225, 29621, 19691, 22031}},
-{12715, 17, 59442, {1, 1, 3, 13, 23, 35, 61, 181, 221, 837, 241, 3033, 1849, 12563, 11387, 3027, 33419}},
-{12716, 17, 59456, {1, 3, 3, 7, 1, 39, 125, 249, 231, 575, 1847, 197, 3969, 12945, 10257, 27227, 94097}},
-{12717, 17, 59465, {1, 3, 1, 11, 19, 7, 85, 119, 37, 253, 1575, 447, 6947, 14399, 32095, 15385, 62917}},
-{12718, 17, 59479, {1, 3, 7, 11, 23, 53, 113, 193, 253, 651, 1717, 447, 4055, 13675, 18479, 28375, 66475}},
-{12719, 17, 59501, {1, 1, 7, 3, 17, 27, 13, 209, 67, 271, 121, 1565, 2589, 8033, 3939, 14181, 111787}},
-{12720, 17, 59504, {1, 1, 3, 3, 5, 57, 75, 87, 165, 947, 967, 3353, 2055, 16195, 3701, 62637, 58343}},
-{12721, 17, 59507, {1, 1, 7, 13, 31, 41, 125, 111, 253, 257, 57, 679, 3333, 8259, 26331, 15883, 95023}},
-{12722, 17, 59514, {1, 3, 7, 11, 1, 47, 5, 249, 353, 271, 1121, 1935, 4971, 8447, 9983, 55959, 66179}},
-{12723, 17, 59523, {1, 3, 5, 11, 1, 61, 101, 43, 97, 241, 687, 4027, 4319, 4905, 12357, 51099, 97093}},
-{12724, 17, 59525, {1, 1, 3, 15, 25, 25, 117, 139, 475, 961, 1585, 2795, 2411, 11049, 18209, 15511, 43193}},
-{12725, 17, 59526, {1, 3, 3, 9, 9, 11, 107, 15, 189, 27, 289, 3111, 851, 3401, 31981, 7181, 47533}},
-{12726, 17, 59537, {1, 1, 5, 15, 31, 57, 37, 77, 205, 707, 1505, 1343, 629, 13335, 6719, 35405, 38905}},
-{12727, 17, 59543, {1, 3, 7, 7, 21, 63, 35, 125, 507, 285, 621, 2257, 3009, 13703, 9761, 54927, 16925}},
-{12728, 17, 59560, {1, 1, 1, 11, 11, 53, 37, 17, 167, 663, 1349, 1395, 7721, 9329, 2161, 37093, 52425}},
-{12729, 17, 59563, {1, 1, 7, 9, 1, 15, 113, 53, 87, 133, 131, 847, 609, 14737, 1639, 15511, 46987}},
-{12730, 17, 59566, {1, 1, 7, 7, 25, 21, 125, 149, 201, 791, 1323, 2817, 1141, 289, 14349, 64461, 76575}},
-{12731, 17, 59577, {1, 3, 3, 7, 15, 1, 123, 227, 83, 967, 2039, 3205, 715, 10787, 11235, 50375, 66911}},
-{12732, 17, 59580, {1, 3, 3, 11, 9, 45, 41, 57, 327, 903, 1705, 3947, 3173, 1035, 25529, 15217, 80795}},
-{12733, 17, 59586, {1, 3, 1, 13, 15, 63, 69, 57, 479, 277, 1641, 3465, 2629, 9901, 5781, 55101, 33049}},
-{12734, 17, 59597, {1, 1, 3, 3, 31, 25, 57, 189, 491, 335, 373, 3069, 1623, 10781, 6559, 27057, 111491}},
-{12735, 17, 59612, {1, 3, 3, 15, 19, 57, 67, 225, 343, 93, 315, 1011, 4437, 10371, 27927, 51269, 65653}},
-{12736, 17, 59615, {1, 3, 5, 5, 21, 43, 105, 153, 65, 167, 369, 3167, 785, 7509, 3753, 9035, 29039}},
-{12737, 17, 59622, {1, 1, 7, 3, 17, 9, 113, 21, 175, 967, 13, 2701, 5667, 9761, 20267, 33497, 88819}},
-{12738, 17, 59631, {1, 1, 1, 7, 9, 61, 121, 205, 283, 259, 2027, 2361, 3995, 6787, 26867, 61681, 96149}},
-{12739, 17, 59657, {1, 3, 3, 13, 31, 37, 125, 151, 317, 947, 423, 2907, 6905, 13247, 27997, 4755, 73173}},
-{12740, 17, 59660, {1, 1, 7, 13, 1, 63, 85, 75, 33, 483, 85, 1583, 4783, 14003, 31147, 12643, 99447}},
-{12741, 17, 59665, {1, 1, 1, 7, 31, 5, 93, 179, 213, 857, 3, 1015, 1481, 2413, 28759, 13941, 24851}},
-{12742, 17, 59671, {1, 1, 5, 5, 5, 35, 73, 57, 469, 885, 1951, 3599, 5555, 7259, 22599, 7627, 109227}},
-{12743, 17, 59675, {1, 1, 5, 13, 1, 1, 69, 107, 473, 793, 1851, 887, 2241, 7851, 21821, 25431, 118565}},
-{12744, 17, 59688, {1, 1, 1, 3, 15, 51, 57, 175, 91, 113, 1671, 925, 2187, 1097, 28793, 45819, 41855}},
-{12745, 17, 59706, {1, 1, 3, 3, 15, 51, 99, 177, 379, 713, 1273, 3245, 5515, 14657, 28981, 1197, 29283}},
-{12746, 17, 59708, {1, 3, 3, 15, 13, 27, 29, 7, 17, 373, 779, 1589, 3077, 13673, 31029, 43765, 74339}},
-{12747, 17, 59713, {1, 1, 3, 1, 25, 17, 15, 223, 219, 569, 155, 1307, 7143, 7975, 22581, 53223, 44271}},
-{12748, 17, 59714, {1, 1, 1, 7, 11, 23, 67, 177, 189, 267, 1799, 2453, 2367, 4193, 1827, 10191, 12265}},
-{12749, 17, 59720, {1, 3, 3, 11, 3, 29, 121, 231, 211, 191, 1803, 1171, 6801, 4007, 14111, 42951, 8311}},
-{12750, 17, 59737, {1, 3, 3, 11, 9, 23, 11, 231, 349, 47, 1645, 345, 3681, 12227, 29955, 32131, 391}},
-{12751, 17, 59743, {1, 1, 3, 11, 27, 17, 17, 49, 463, 173, 1993, 2339, 3763, 1931, 29969, 55579, 114805}},
-{12752, 17, 59744, {1, 3, 5, 15, 5, 21, 105, 69, 173, 771, 815, 3807, 577, 12589, 32193, 37601, 23961}},
-{12753, 17, 59749, {1, 1, 3, 9, 21, 63, 57, 213, 327, 765, 333, 2065, 719, 6159, 15769, 49335, 2289}},
-{12754, 17, 59756, {1, 3, 3, 1, 27, 51, 13, 87, 465, 729, 507, 2811, 6721, 14279, 31733, 56165, 78169}},
-{12755, 17, 59783, {1, 1, 1, 9, 25, 1, 47, 37, 407, 623, 1409, 3703, 4491, 3037, 8129, 13547, 50517}},
-{12756, 17, 59784, {1, 3, 5, 13, 5, 51, 127, 225, 215, 377, 1013, 2387, 4237, 1317, 5245, 17535, 100707}},
-{12757, 17, 59787, {1, 3, 5, 13, 31, 25, 123, 243, 317, 505, 483, 1743, 3097, 4139, 4525, 63143, 47665}},
-{12758, 17, 59795, {1, 3, 3, 13, 27, 19, 21, 187, 211, 471, 1931, 2877, 3635, 9233, 12385, 15741, 50843}},
-{12759, 17, 59804, {1, 1, 3, 13, 23, 33, 71, 45, 371, 621, 1057, 1605, 6329, 3763, 8613, 2965, 8141}},
-{12760, 17, 59811, {1, 1, 5, 7, 7, 17, 33, 209, 293, 35, 1665, 3721, 6245, 14567, 15349, 16195, 59757}},
-{12761, 17, 59814, {1, 1, 7, 7, 31, 19, 47, 83, 277, 323, 1225, 969, 2193, 10175, 27657, 50265, 9817}},
-{12762, 17, 59823, {1, 1, 5, 7, 15, 21, 103, 95, 189, 737, 309, 357, 5953, 9701, 15757, 20753, 88647}},
-{12763, 17, 59838, {1, 1, 5, 13, 5, 13, 61, 235, 333, 889, 1559, 1653, 1871, 10631, 18067, 47037, 9507}},
-{12764, 17, 59840, {1, 3, 7, 1, 31, 61, 69, 159, 41, 107, 807, 1517, 3551, 3435, 6151, 50025, 126949}},
-{12765, 17, 59846, {1, 1, 7, 15, 7, 41, 55, 103, 9, 105, 1397, 3955, 7723, 3389, 32435, 36005, 73733}},
-{12766, 17, 59849, {1, 1, 1, 13, 15, 59, 43, 151, 321, 215, 411, 3103, 7455, 14041, 1673, 56425, 59085}},
-{12767, 17, 59855, {1, 1, 1, 1, 5, 39, 81, 183, 509, 455, 753, 3743, 227, 7807, 23747, 42289, 122765}},
-{12768, 17, 59860, {1, 1, 7, 3, 9, 29, 89, 131, 141, 851, 1221, 67, 3117, 1329, 13151, 36827, 34313}},
-{12769, 17, 59867, {1, 3, 1, 5, 9, 29, 11, 189, 389, 79, 1903, 835, 6043, 8953, 18985, 8305, 51939}},
-{12770, 17, 59869, {1, 3, 5, 3, 9, 49, 47, 43, 193, 917, 795, 2719, 5709, 9993, 30637, 26841, 93113}},
-{12771, 17, 59885, {1, 3, 7, 5, 13, 15, 85, 169, 315, 963, 617, 1191, 6739, 11535, 3423, 6695, 2047}},
-{12772, 17, 59888, {1, 3, 1, 3, 5, 49, 41, 255, 131, 255, 825, 1485, 7005, 10107, 3913, 4731, 33199}},
-{12773, 17, 59893, {1, 3, 1, 9, 27, 63, 109, 29, 183, 381, 591, 617, 1187, 4381, 30543, 9933, 109785}},
-{12774, 17, 59904, {1, 3, 7, 7, 13, 29, 125, 105, 353, 677, 623, 1553, 5435, 10853, 16663, 42277, 64333}},
-{12775, 17, 59919, {1, 3, 3, 11, 3, 47, 49, 41, 249, 497, 963, 237, 625, 11303, 6871, 60441, 39559}},
-{12776, 17, 59922, {1, 3, 3, 1, 1, 27, 107, 253, 59, 445, 1761, 2865, 7117, 2363, 4007, 46047, 10811}},
-{12777, 17, 59927, {1, 3, 5, 5, 25, 13, 17, 107, 321, 691, 351, 577, 5001, 9437, 12451, 44997, 42727}},
-{12778, 17, 59937, {1, 3, 1, 9, 1, 31, 87, 117, 111, 379, 1989, 1155, 4777, 8563, 14585, 33375, 66985}},
-{12779, 17, 59940, {1, 3, 5, 5, 9, 51, 79, 135, 89, 929, 277, 763, 5569, 15545, 28393, 56921, 102093}},
-{12780, 17, 59944, {1, 1, 3, 7, 7, 55, 15, 37, 3, 439, 577, 2051, 101, 13655, 11959, 38127, 6639}},
-{12781, 17, 59947, {1, 1, 3, 9, 21, 11, 27, 221, 465, 565, 1313, 1405, 2421, 10543, 18369, 33751, 87785}},
-{12782, 17, 59949, {1, 3, 5, 11, 21, 39, 105, 231, 469, 711, 997, 427, 5797, 3249, 15141, 29413, 66509}},
-{12783, 17, 59961, {1, 3, 7, 5, 25, 31, 111, 37, 229, 773, 193, 553, 673, 4693, 24441, 8713, 121203}},
-{12784, 17, 59975, {1, 3, 1, 9, 23, 27, 103, 7, 183, 549, 1433, 2831, 3383, 13229, 10005, 14135, 15967}},
-{12785, 17, 59981, {1, 3, 3, 11, 11, 59, 11, 251, 373, 399, 255, 1177, 5493, 13559, 29037, 23405, 79495}},
-{12786, 17, 59994, {1, 3, 1, 11, 25, 45, 69, 115, 153, 259, 527, 9, 5807, 6015, 3765, 61621, 8645}},
-{12787, 17, 59999, {1, 3, 3, 9, 19, 5, 113, 191, 345, 655, 429, 3975, 4297, 5723, 5345, 64457, 79031}},
-{12788, 17, 60018, {1, 3, 7, 7, 15, 59, 5, 87, 289, 1005, 931, 2403, 485, 16043, 15623, 39253, 61377}},
-{12789, 17, 60023, {1, 3, 3, 9, 17, 53, 31, 9, 217, 711, 1007, 1375, 2733, 13735, 19825, 59741, 83827}},
-{12790, 17, 60024, {1, 1, 3, 15, 11, 11, 41, 195, 79, 1013, 1353, 1961, 7365, 7533, 13315, 8441, 90705}},
-{12791, 17, 60039, {1, 1, 5, 7, 23, 17, 93, 165, 371, 495, 865, 2753, 15, 10729, 16553, 6039, 96721}},
-{12792, 17, 60043, {1, 3, 3, 3, 25, 25, 67, 119, 485, 63, 75, 2365, 4711, 16129, 5589, 50621, 1203}},
-{12793, 17, 60048, {1, 1, 7, 1, 27, 57, 49, 79, 479, 79, 683, 753, 345, 2007, 18983, 42729, 56369}},
-{12794, 17, 60054, {1, 1, 7, 7, 1, 23, 9, 155, 425, 735, 1625, 2271, 7875, 11219, 12147, 52351, 55845}},
-{12795, 17, 60073, {1, 1, 1, 9, 13, 11, 67, 139, 259, 59, 1593, 1207, 237, 11683, 24719, 27689, 115617}},
-{12796, 17, 60079, {1, 1, 5, 7, 7, 15, 9, 171, 35, 131, 133, 3939, 1401, 6347, 4051, 64235, 68581}},
-{12797, 17, 60082, {1, 3, 3, 1, 27, 21, 29, 119, 201, 527, 763, 203, 1139, 3951, 3341, 17023, 13493}},
-{12798, 17, 60102, {1, 1, 1, 15, 27, 31, 97, 203, 255, 573, 781, 4095, 3381, 363, 32733, 34517, 77973}},
-{12799, 17, 60108, {1, 1, 3, 9, 29, 9, 115, 207, 267, 513, 1071, 3943, 5045, 10071, 6627, 18043, 44289}},
-{12800, 17, 60111, {1, 1, 7, 7, 29, 25, 51, 31, 305, 239, 197, 3825, 2363, 4903, 16237, 37571, 66545}},
-{12801, 17, 60120, {1, 1, 5, 11, 29, 11, 63, 145, 185, 359, 249, 1179, 105, 1745, 28819, 40513, 74525}},
-{12802, 17, 60149, {1, 1, 7, 1, 15, 35, 39, 5, 139, 119, 2047, 3369, 2857, 11037, 30523, 24813, 89209}},
-{12803, 17, 60153, {1, 1, 5, 11, 9, 41, 97, 15, 357, 95, 361, 3, 3227, 8445, 16541, 30661, 84215}},
-{12804, 17, 60161, {1, 1, 7, 5, 11, 55, 77, 19, 331, 621, 893, 577, 1025, 1561, 32331, 59469, 67065}},
-{12805, 17, 60168, {1, 3, 7, 7, 17, 53, 55, 65, 295, 391, 445, 33, 5361, 669, 6447, 3833, 129463}},
-{12806, 17, 60176, {1, 3, 7, 5, 21, 5, 83, 207, 485, 597, 1429, 581, 6831, 2885, 24669, 35211, 69549}},
-{12807, 17, 60182, {1, 3, 3, 1, 3, 33, 69, 199, 427, 893, 1823, 1291, 4533, 11779, 18515, 17597, 79159}},
-{12808, 17, 60185, {1, 3, 1, 1, 17, 41, 91, 21, 509, 875, 777, 639, 4009, 12103, 12947, 58395, 36625}},
-{12809, 17, 60204, {1, 1, 7, 15, 13, 11, 19, 243, 365, 661, 1193, 279, 6055, 13921, 5811, 14337, 105375}},
-{12810, 17, 60212, {1, 3, 7, 3, 3, 51, 101, 175, 83, 921, 523, 3909, 8003, 1295, 4153, 4757, 107881}},
-{12811, 17, 60215, {1, 1, 1, 3, 19, 15, 39, 125, 401, 399, 381, 1123, 2339, 12231, 13387, 50829, 79263}},
-{12812, 17, 60219, {1, 3, 1, 1, 15, 13, 55, 181, 53, 671, 1929, 1003, 521, 15279, 1837, 11877, 79241}},
-{12813, 17, 60222, {1, 3, 3, 9, 23, 45, 21, 37, 1, 701, 1253, 2595, 6261, 4139, 24443, 6655, 109755}},
-{12814, 17, 60229, {1, 3, 7, 1, 1, 13, 57, 41, 95, 985, 1613, 3487, 7509, 213, 32139, 27869, 123589}},
-{12815, 17, 60234, {1, 3, 7, 11, 15, 27, 27, 97, 167, 755, 1331, 3961, 3067, 13827, 8983, 8755, 77847}},
-{12816, 17, 60241, {1, 1, 5, 13, 5, 59, 51, 193, 339, 837, 137, 3807, 2617, 14449, 11035, 16827, 24531}},
-{12817, 17, 60248, {1, 1, 7, 15, 17, 37, 67, 99, 261, 743, 275, 33, 8107, 4959, 9683, 19757, 36471}},
-{12818, 17, 60277, {1, 3, 5, 5, 29, 7, 107, 95, 235, 761, 1205, 3125, 4791, 4645, 25623, 6463, 121887}},
-{12819, 17, 60282, {1, 3, 1, 1, 19, 19, 73, 189, 243, 669, 489, 1927, 1651, 11391, 30699, 64719, 60359}},
-{12820, 17, 60287, {1, 3, 7, 3, 29, 47, 7, 21, 299, 739, 1605, 749, 5755, 11579, 793, 36845, 14695}},
-{12821, 17, 60303, {1, 1, 5, 15, 17, 53, 107, 49, 103, 505, 1191, 2881, 7435, 7515, 24237, 5397, 47003}},
-{12822, 17, 60306, {1, 1, 7, 15, 25, 45, 121, 157, 313, 709, 1519, 2195, 5487, 1789, 32401, 4197, 9329}},
-{12823, 17, 60327, {1, 3, 3, 11, 21, 17, 77, 153, 275, 765, 1943, 3395, 5807, 12809, 29891, 42579, 75565}},
-{12824, 17, 60333, {1, 3, 5, 11, 11, 3, 63, 9, 223, 441, 1047, 441, 867, 3399, 15813, 13, 25293}},
-{12825, 17, 60334, {1, 1, 7, 1, 17, 25, 1, 7, 211, 117, 1417, 1057, 3369, 13211, 11437, 20877, 114867}},
-{12826, 17, 60336, {1, 1, 1, 15, 5, 41, 89, 165, 343, 447, 55, 1013, 8179, 12295, 18615, 23885, 46149}},
-{12827, 17, 60345, {1, 1, 5, 1, 15, 37, 109, 141, 323, 151, 1669, 1365, 3047, 13145, 30355, 12377, 102467}},
-{12828, 17, 60359, {1, 1, 3, 15, 15, 49, 83, 127, 285, 715, 981, 1153, 3019, 11071, 24229, 63807, 16315}},
-{12829, 17, 60368, {1, 1, 3, 1, 23, 35, 21, 179, 83, 929, 1033, 643, 3591, 10363, 7739, 259, 106879}},
-{12830, 17, 60380, {1, 1, 5, 7, 19, 9, 63, 241, 387, 851, 1709, 1161, 7469, 2093, 6169, 6085, 29851}},
-{12831, 17, 60389, {1, 3, 7, 5, 17, 59, 99, 87, 189, 853, 193, 1191, 5683, 15865, 27791, 55575, 13479}},
-{12832, 17, 60390, {1, 3, 3, 3, 25, 51, 81, 129, 365, 319, 179, 2863, 511, 14471, 3689, 59505, 80105}},
-{12833, 17, 60394, {1, 1, 1, 15, 5, 33, 69, 35, 429, 715, 1781, 783, 1089, 8969, 26987, 23519, 34227}},
-{12834, 17, 60407, {1, 3, 5, 9, 1, 51, 9, 121, 325, 945, 2025, 1985, 7337, 10837, 21299, 20591, 76905}},
-{12835, 17, 60414, {1, 3, 7, 3, 15, 51, 19, 109, 297, 491, 15, 1905, 1479, 1997, 18129, 43861, 84925}},
-{12836, 17, 60419, {1, 1, 3, 5, 7, 21, 1, 137, 207, 943, 1171, 2019, 6687, 10683, 20937, 34033, 43907}},
-{12837, 17, 60426, {1, 1, 1, 11, 25, 21, 47, 227, 247, 933, 471, 955, 4299, 5605, 18469, 62357, 98273}},
-{12838, 17, 60428, {1, 1, 5, 13, 21, 39, 41, 23, 493, 311, 1401, 537, 2919, 11519, 12597, 58321, 41401}},
-{12839, 17, 60431, {1, 1, 7, 5, 31, 55, 93, 151, 219, 765, 1247, 2775, 7167, 13413, 17071, 57969, 114069}},
-{12840, 17, 60440, {1, 3, 1, 15, 31, 41, 85, 161, 379, 337, 1639, 933, 3511, 925, 3523, 52379, 18421}},
-{12841, 17, 60450, {1, 3, 3, 11, 17, 17, 71, 11, 291, 305, 1295, 1175, 1803, 6247, 26523, 46467, 126999}},
-{12842, 17, 60469, {1, 1, 1, 13, 9, 43, 113, 7, 1, 443, 719, 3045, 2527, 5233, 13969, 50463, 115629}},
-{12843, 17, 60473, {1, 1, 1, 13, 9, 31, 87, 119, 351, 53, 985, 2017, 1187, 10429, 13719, 41383, 12749}},
-{12844, 17, 60474, {1, 1, 1, 15, 23, 17, 5, 215, 383, 299, 305, 3577, 7707, 6927, 28591, 44287, 65697}},
-{12845, 17, 60484, {1, 1, 5, 7, 23, 61, 89, 235, 97, 463, 237, 2117, 5503, 13693, 28231, 7745, 73631}},
-{12846, 17, 60496, {1, 3, 7, 3, 17, 43, 73, 245, 145, 267, 855, 187, 6167, 3999, 9935, 14347, 57727}},
-{12847, 17, 60502, {1, 1, 7, 3, 25, 47, 11, 221, 425, 527, 1341, 3973, 4635, 16321, 30021, 48547, 109409}},
-{12848, 17, 60508, {1, 3, 1, 13, 5, 11, 41, 191, 121, 219, 1315, 583, 2997, 5883, 31689, 64835, 35351}},
-{12849, 17, 60511, {1, 1, 3, 3, 15, 47, 49, 115, 107, 757, 329, 1653, 4633, 14605, 1579, 62413, 88685}},
-{12850, 17, 60522, {1, 1, 1, 5, 19, 47, 63, 131, 427, 335, 269, 3581, 7613, 15685, 16957, 30487, 94965}},
-{12851, 17, 60529, {1, 1, 3, 15, 31, 11, 77, 115, 467, 249, 247, 651, 3769, 3701, 21627, 36219, 77309}},
-{12852, 17, 60530, {1, 3, 1, 5, 5, 29, 45, 21, 37, 733, 1773, 2467, 2747, 9391, 5449, 23285, 20089}},
-{12853, 17, 60536, {1, 3, 5, 13, 29, 31, 51, 199, 77, 711, 1313, 3303, 2675, 177, 7915, 37129, 123641}},
-{12854, 17, 60551, {1, 3, 7, 15, 17, 17, 99, 43, 9, 699, 491, 669, 1313, 1377, 30015, 59261, 97321}},
-{12855, 17, 60557, {1, 3, 1, 13, 9, 13, 21, 199, 249, 775, 399, 897, 2205, 15357, 17281, 3193, 255}},
-{12856, 17, 60566, {1, 3, 1, 13, 7, 23, 7, 181, 65, 253, 199, 333, 6507, 4409, 13319, 30165, 95191}},
-{12857, 17, 60576, {1, 3, 3, 1, 31, 9, 31, 71, 301, 867, 1655, 2065, 597, 15247, 3019, 31763, 91889}},
-{12858, 17, 60579, {1, 3, 5, 5, 3, 35, 113, 133, 39, 1013, 991, 3521, 5805, 87, 32393, 28619, 34325}},
-{12859, 17, 60585, {1, 3, 1, 9, 15, 27, 45, 85, 61, 99, 1085, 3251, 7085, 4137, 27443, 42581, 94031}},
-{12860, 17, 60588, {1, 1, 5, 7, 11, 49, 97, 129, 339, 259, 821, 165, 833, 11383, 21629, 17473, 2947}},
-{12861, 17, 60600, {1, 3, 3, 3, 11, 7, 27, 231, 169, 847, 1767, 1823, 3855, 14277, 12457, 55825, 14377}},
-{12862, 17, 60613, {1, 1, 7, 3, 27, 5, 47, 193, 207, 747, 271, 3155, 1097, 2229, 4919, 22327, 12659}},
-{12863, 17, 60628, {1, 1, 5, 3, 27, 29, 105, 199, 31, 73, 1741, 2173, 4577, 3917, 31513, 45983, 118015}},
-{12864, 17, 60631, {1, 1, 3, 1, 19, 5, 23, 249, 35, 891, 1105, 1907, 5453, 1877, 1965, 3169, 107091}},
-{12865, 17, 60648, {1, 1, 7, 9, 11, 47, 57, 171, 255, 661, 1925, 2223, 525, 4775, 12327, 8067, 47083}},
-{12866, 17, 60651, {1, 3, 3, 11, 29, 43, 37, 33, 459, 117, 7, 1739, 3585, 7429, 2217, 9533, 95299}},
-{12867, 17, 60653, {1, 1, 5, 11, 23, 3, 33, 13, 45, 201, 467, 597, 4891, 2673, 32407, 56935, 121991}},
-{12868, 17, 60671, {1, 1, 7, 5, 29, 63, 7, 59, 417, 547, 17, 3701, 5775, 1079, 26527, 47187, 14827}},
-{12869, 17, 60673, {1, 1, 5, 3, 27, 11, 85, 129, 377, 497, 1659, 1965, 581, 15075, 31265, 195, 62307}},
-{12870, 17, 60691, {1, 1, 3, 9, 3, 57, 33, 57, 279, 955, 741, 955, 6501, 8069, 27305, 15363, 34715}},
-{12871, 17, 60697, {1, 3, 7, 13, 29, 23, 25, 171, 201, 529, 661, 4089, 5755, 12459, 31269, 9763, 53217}},
-{12872, 17, 60700, {1, 3, 7, 1, 3, 19, 27, 201, 261, 421, 1487, 2907, 547, 15791, 7661, 42871, 116343}},
-{12873, 17, 60714, {1, 3, 7, 9, 5, 59, 51, 91, 7, 399, 2001, 661, 6577, 7473, 5439, 29073, 3391}},
-{12874, 17, 60724, {1, 1, 7, 1, 23, 39, 119, 105, 113, 913, 1097, 2547, 8143, 11409, 23197, 59527, 55677}},
-{12875, 17, 60728, {1, 3, 3, 15, 31, 35, 103, 207, 247, 801, 1821, 1995, 4437, 12891, 659, 15687, 53}},
-{12876, 17, 60733, {1, 3, 3, 5, 13, 5, 45, 187, 231, 661, 1553, 2909, 3715, 4499, 14773, 5957, 24171}},
-{12877, 17, 60736, {1, 1, 1, 11, 3, 53, 93, 29, 379, 713, 299, 445, 2815, 9825, 30941, 22413, 91563}},
-{12878, 17, 60745, {1, 3, 1, 1, 27, 31, 111, 83, 349, 895, 1007, 2649, 7139, 5863, 27739, 53099, 6837}},
-{12879, 17, 60746, {1, 3, 1, 5, 23, 57, 121, 229, 487, 405, 2001, 2761, 3011, 2219, 10711, 31139, 83809}},
-{12880, 17, 60753, {1, 3, 7, 5, 13, 51, 37, 181, 359, 909, 2001, 793, 1143, 9219, 5111, 23021, 126081}},
-{12881, 17, 60754, {1, 3, 1, 13, 27, 27, 99, 25, 189, 129, 1831, 1005, 8119, 2557, 26985, 63447, 89693}},
-{12882, 17, 60782, {1, 1, 7, 5, 1, 21, 79, 33, 99, 7, 433, 1343, 3121, 3705, 477, 41191, 13749}},
-{12883, 17, 60784, {1, 1, 5, 5, 29, 53, 75, 243, 35, 461, 1399, 129, 177, 6533, 22209, 23503, 43819}},
-{12884, 17, 60790, {1, 3, 7, 7, 31, 37, 109, 9, 255, 263, 35, 3451, 7629, 9849, 10387, 3165, 120623}},
-{12885, 17, 60793, {1, 3, 5, 3, 27, 53, 93, 111, 239, 723, 293, 1481, 4427, 13623, 1989, 47705, 122069}},
-{12886, 17, 60805, {1, 3, 7, 7, 31, 37, 37, 213, 191, 627, 1821, 3621, 2875, 15759, 17525, 50969, 35311}},
-{12887, 17, 60830, {1, 3, 5, 5, 11, 41, 87, 233, 79, 251, 25, 1385, 3527, 7853, 5541, 36519, 42779}},
-{12888, 17, 60836, {1, 3, 1, 5, 9, 1, 117, 11, 61, 879, 553, 383, 6237, 15207, 3057, 28051, 59149}},
-{12889, 17, 60846, {1, 1, 1, 15, 15, 7, 37, 133, 81, 815, 893, 2281, 2459, 15325, 20107, 2289, 34535}},
-{12890, 17, 60851, {1, 1, 5, 11, 17, 3, 45, 159, 409, 643, 969, 1289, 4353, 10465, 16233, 55561, 111667}},
-{12891, 17, 60880, {1, 1, 5, 13, 23, 1, 79, 127, 485, 1013, 629, 791, 853, 9247, 26333, 1123, 17313}},
-{12892, 17, 60896, {1, 1, 5, 11, 27, 17, 97, 157, 479, 421, 1739, 3257, 2419, 6673, 2759, 19399, 120305}},
-{12893, 17, 60905, {1, 3, 5, 1, 3, 43, 71, 55, 111, 949, 1957, 3777, 3409, 8229, 26585, 49221, 33639}},
-{12894, 17, 60923, {1, 3, 7, 9, 17, 45, 71, 71, 417, 1007, 213, 1069, 2693, 5065, 23489, 33363, 120459}},
-{12895, 17, 60925, {1, 1, 1, 1, 25, 47, 81, 251, 341, 101, 1941, 1133, 3205, 4141, 26561, 56095, 37193}},
-{12896, 17, 60932, {1, 1, 3, 7, 25, 45, 97, 95, 135, 871, 949, 3489, 7593, 10717, 26163, 12711, 76989}},
-{12897, 17, 60939, {1, 3, 1, 9, 3, 11, 35, 7, 471, 509, 1335, 385, 1297, 11201, 28553, 51609, 45351}},
-{12898, 17, 60942, {1, 1, 5, 11, 21, 23, 105, 31, 125, 5, 1721, 1503, 7807, 13093, 24873, 18467, 30183}},
-{12899, 17, 60953, {1, 3, 7, 15, 15, 57, 61, 213, 79, 655, 517, 1031, 6719, 4807, 12805, 2605, 35407}},
-{12900, 17, 60956, {1, 1, 3, 15, 21, 5, 93, 61, 103, 945, 935, 115, 1281, 7735, 20723, 37211, 50039}},
-{12901, 17, 60959, {1, 3, 3, 15, 19, 51, 79, 187, 127, 205, 121, 701, 6065, 15185, 29343, 58249, 25331}},
-{12902, 17, 60963, {1, 3, 3, 15, 17, 49, 23, 163, 201, 809, 1203, 687, 1777, 695, 18779, 31571, 118383}},
-{12903, 17, 60969, {1, 1, 1, 5, 25, 45, 121, 223, 233, 193, 1459, 1889, 5537, 4421, 13659, 4591, 112563}},
-{12904, 17, 60978, {1, 3, 5, 3, 31, 37, 109, 15, 381, 373, 993, 3633, 641, 4411, 32265, 46481, 49195}},
-{12905, 17, 60980, {1, 3, 3, 11, 19, 21, 39, 67, 447, 829, 1163, 55, 2153, 15045, 6643, 48235, 59261}},
-{12906, 17, 60987, {1, 3, 3, 1, 7, 63, 37, 71, 35, 601, 1719, 447, 8009, 7235, 13225, 44103, 82409}},
-{12907, 17, 61007, {1, 3, 3, 7, 13, 33, 69, 115, 207, 807, 109, 2989, 3727, 9017, 29095, 11377, 122401}},
-{12908, 17, 61012, {1, 1, 3, 15, 9, 9, 57, 197, 115, 73, 1277, 1727, 5275, 11897, 12157, 34763, 58273}},
-{12909, 17, 61015, {1, 1, 3, 15, 19, 19, 127, 105, 289, 663, 877, 1303, 4901, 8897, 4803, 36853, 93361}},
-{12910, 17, 61025, {1, 1, 3, 7, 23, 29, 121, 29, 439, 795, 1469, 523, 7767, 12061, 15613, 57343, 21291}},
-{12911, 17, 61026, {1, 1, 1, 9, 25, 29, 15, 165, 383, 233, 91, 2065, 2741, 7809, 5325, 48581, 65551}},
-{12912, 17, 61038, {1, 1, 5, 15, 29, 19, 103, 143, 283, 597, 1055, 3525, 6115, 11083, 22497, 42893, 86849}},
-{12913, 17, 61040, {1, 1, 1, 15, 13, 43, 75, 157, 267, 519, 1231, 929, 1585, 16137, 1045, 4353, 63473}},
-{12914, 17, 61052, {1, 1, 1, 9, 17, 25, 73, 227, 145, 921, 1845, 2057, 3099, 15523, 8993, 14135, 37811}},
-{12915, 17, 61061, {1, 3, 3, 15, 17, 57, 107, 215, 271, 841, 1543, 2803, 625, 15359, 13341, 36879, 83191}},
-{12916, 17, 61074, {1, 3, 5, 13, 3, 17, 127, 81, 193, 253, 71, 3205, 1157, 1313, 27341, 49657, 96539}},
-{12917, 17, 61083, {1, 3, 1, 5, 27, 43, 1, 111, 23, 963, 1853, 925, 7401, 13999, 29797, 47125, 59955}},
-{12918, 17, 61085, {1, 3, 3, 1, 31, 55, 107, 121, 37, 159, 61, 577, 5711, 6745, 20077, 42333, 37105}},
-{12919, 17, 61086, {1, 1, 5, 3, 31, 11, 1, 7, 295, 515, 203, 707, 2919, 9619, 8877, 45143, 101861}},
-{12920, 17, 61096, {1, 3, 7, 11, 5, 23, 71, 9, 99, 947, 1141, 1651, 1903, 13607, 15433, 55005, 127639}},
-{12921, 17, 61119, {1, 1, 7, 3, 13, 61, 25, 111, 239, 243, 1069, 3551, 3339, 743, 29921, 21313, 54953}},
-{12922, 17, 61124, {1, 1, 3, 3, 23, 7, 21, 47, 367, 871, 1647, 2183, 2615, 2257, 30447, 25761, 110221}},
-{12923, 17, 61127, {1, 3, 7, 15, 13, 51, 115, 19, 277, 463, 475, 3467, 7313, 2477, 10841, 13585, 61449}},
-{12924, 17, 61128, {1, 1, 7, 9, 1, 27, 111, 209, 391, 621, 1047, 549, 2013, 549, 24213, 6369, 68691}},
-{12925, 17, 61133, {1, 1, 1, 11, 19, 59, 11, 107, 79, 1013, 357, 1729, 889, 12823, 6537, 35717, 42761}},
-{12926, 17, 61134, {1, 1, 3, 15, 29, 41, 49, 177, 309, 293, 1035, 1481, 1395, 2009, 7917, 365, 28981}},
-{12927, 17, 61146, {1, 3, 7, 11, 31, 19, 51, 113, 479, 347, 353, 929, 1089, 3373, 2807, 55201, 23137}},
-{12928, 17, 61155, {1, 3, 1, 15, 7, 55, 79, 191, 267, 701, 1885, 1241, 7085, 9835, 24239, 7609, 13967}},
-{12929, 17, 61161, {1, 1, 3, 15, 25, 33, 69, 5, 93, 375, 435, 2401, 1591, 8173, 17293, 20281, 63809}},
-{12930, 17, 61162, {1, 3, 5, 3, 9, 49, 63, 47, 217, 773, 1241, 1131, 7521, 15607, 24341, 20353, 122801}},
-{12931, 17, 61169, {1, 3, 7, 15, 21, 1, 57, 159, 279, 987, 1641, 3883, 1659, 7875, 24857, 33273, 88933}},
-{12932, 17, 61179, {1, 1, 3, 11, 3, 23, 45, 31, 279, 643, 1285, 471, 137, 15871, 13927, 52361, 118901}},
-{12933, 17, 61182, {1, 3, 1, 15, 27, 51, 83, 19, 299, 213, 1001, 897, 2751, 13085, 20841, 24891, 113173}},
-{12934, 17, 61190, {1, 1, 7, 5, 5, 27, 77, 77, 165, 489, 359, 1607, 3903, 16241, 641, 25999, 29279}},
-{12935, 17, 61201, {1, 3, 3, 7, 15, 23, 103, 49, 259, 519, 641, 1577, 3713, 12181, 287, 29483, 58505}},
-{12936, 17, 61208, {1, 1, 7, 13, 11, 29, 125, 45, 45, 167, 261, 2735, 2421, 15457, 5965, 44005, 82141}},
-{12937, 17, 61238, {1, 1, 3, 9, 25, 21, 9, 3, 57, 1017, 1359, 79, 6789, 7805, 20683, 25695, 38893}},
-{12938, 17, 61241, {1, 1, 7, 1, 29, 53, 87, 171, 51, 5, 9, 3033, 787, 10611, 15913, 35703, 70459}},
-{12939, 17, 61247, {1, 1, 3, 5, 1, 33, 111, 139, 477, 33, 1287, 3615, 5235, 15491, 2915, 47821, 55257}},
-{12940, 17, 61259, {1, 1, 1, 13, 5, 23, 55, 225, 303, 587, 1595, 307, 3809, 8093, 13297, 63213, 104317}},
-{12941, 17, 61267, {1, 1, 3, 15, 31, 29, 13, 33, 267, 481, 1039, 3805, 2549, 861, 12483, 61829, 127725}},
-{12942, 17, 61269, {1, 3, 5, 11, 23, 17, 23, 117, 333, 167, 1965, 1387, 5453, 15545, 123, 12991, 36281}},
-{12943, 17, 61295, {1, 3, 5, 1, 3, 9, 25, 55, 497, 951, 1377, 993, 6089, 4801, 32719, 31579, 126663}},
-{12944, 17, 61304, {1, 3, 5, 11, 15, 37, 103, 51, 509, 585, 769, 425, 835, 14027, 30265, 55735, 36655}},
-{12945, 17, 61309, {1, 1, 1, 13, 9, 49, 105, 61, 493, 3, 1663, 815, 8105, 16361, 32477, 30437, 61519}},
-{12946, 17, 61310, {1, 3, 7, 11, 29, 23, 105, 87, 119, 399, 1405, 1515, 7017, 12729, 13769, 29741, 30921}},
-{12947, 17, 61313, {1, 3, 7, 13, 13, 7, 93, 227, 489, 843, 923, 3373, 759, 5105, 9059, 21079, 101335}},
-{12948, 17, 61320, {1, 1, 1, 1, 29, 53, 119, 227, 171, 363, 289, 827, 425, 12827, 25791, 21587, 109567}},
-{12949, 17, 61325, {1, 1, 5, 11, 29, 29, 53, 127, 441, 219, 1049, 275, 525, 5535, 20907, 9299, 76319}},
-{12950, 17, 61334, {1, 3, 7, 15, 3, 53, 109, 61, 275, 391, 1147, 2953, 1439, 4417, 679, 10949, 35101}},
-{12951, 17, 61337, {1, 1, 5, 13, 9, 1, 109, 137, 249, 835, 721, 129, 2883, 13043, 31827, 36741, 107167}},
-{12952, 17, 61386, {1, 1, 5, 9, 27, 17, 117, 121, 111, 433, 743, 1987, 6839, 8439, 2533, 62135, 54281}},
-{12953, 17, 61399, {1, 3, 5, 15, 11, 61, 117, 103, 409, 485, 1047, 469, 2245, 7193, 2541, 9399, 88127}},
-{12954, 17, 61422, {1, 3, 1, 9, 3, 49, 111, 201, 87, 181, 1243, 3261, 1827, 10385, 13045, 58331, 107729}},
-{12955, 17, 61429, {1, 3, 5, 15, 13, 29, 61, 223, 227, 733, 1757, 755, 4231, 13537, 1509, 54623, 120221}},
-{12956, 17, 61436, {1, 1, 1, 15, 13, 9, 7, 233, 391, 689, 355, 1203, 5811, 7759, 2647, 54949, 51891}},
-{12957, 17, 61439, {1, 1, 3, 1, 3, 27, 95, 51, 497, 315, 915, 1055, 2917, 167, 1849, 26591, 102729}},
-{12958, 17, 61466, {1, 3, 7, 13, 1, 51, 3, 113, 437, 449, 1889, 2887, 4735, 5693, 8191, 12847, 52651}},
-{12959, 17, 61477, {1, 1, 7, 13, 1, 45, 41, 221, 403, 185, 1653, 1809, 6405, 9193, 1381, 36677, 43255}},
-{12960, 17, 61478, {1, 1, 5, 1, 25, 51, 109, 245, 291, 809, 1381, 3235, 5933, 10185, 18663, 15589, 39539}},
-{12961, 17, 61490, {1, 3, 3, 1, 27, 29, 3, 227, 275, 705, 489, 681, 323, 7453, 26005, 13791, 115219}},
-{12962, 17, 61495, {1, 3, 5, 1, 3, 51, 101, 75, 157, 529, 45, 3105, 3617, 13081, 21665, 50065, 117823}},
-{12963, 17, 61504, {1, 3, 5, 15, 9, 43, 41, 169, 391, 455, 1375, 253, 1257, 14427, 16325, 11571, 26361}},
-{12964, 17, 61514, {1, 1, 5, 7, 5, 41, 81, 173, 275, 225, 301, 335, 5473, 1509, 20897, 21951, 103967}},
-{12965, 17, 61516, {1, 3, 5, 1, 13, 27, 107, 19, 221, 609, 823, 1193, 665, 4947, 11967, 57373, 21665}},
-{12966, 17, 61521, {1, 3, 7, 13, 7, 11, 109, 59, 193, 103, 943, 595, 5121, 6159, 2103, 52863, 57541}},
-{12967, 17, 61527, {1, 3, 5, 3, 5, 51, 85, 227, 465, 1013, 601, 1687, 7615, 5991, 8635, 64487, 69967}},
-{12968, 17, 61531, {1, 3, 1, 11, 29, 49, 79, 25, 447, 119, 569, 383, 5261, 6209, 21965, 40863, 96593}},
-{12969, 17, 61540, {1, 1, 3, 13, 9, 49, 59, 93, 369, 789, 1373, 425, 3565, 13357, 17783, 46435, 129653}},
-{12970, 17, 61550, {1, 3, 7, 5, 5, 39, 51, 15, 421, 531, 1855, 2105, 5335, 8509, 20841, 44997, 48235}},
-{12971, 17, 61557, {1, 3, 7, 3, 27, 47, 113, 1, 453, 565, 1843, 243, 7663, 10697, 7725, 24485, 49435}},
-{12972, 17, 61562, {1, 1, 1, 11, 25, 25, 47, 1, 475, 831, 1833, 391, 5173, 14873, 14263, 36061, 26781}},
-{12973, 17, 61577, {1, 1, 7, 15, 21, 13, 5, 169, 241, 235, 547, 1565, 2053, 6877, 12811, 22213, 106907}},
-{12974, 17, 61583, {1, 3, 7, 1, 21, 11, 101, 115, 243, 985, 1389, 2189, 563, 12453, 14951, 58889, 48079}},
-{12975, 17, 61597, {1, 1, 5, 7, 9, 37, 33, 241, 337, 453, 1955, 1731, 4445, 8887, 27715, 63975, 95891}},
-{12976, 17, 61602, {1, 1, 5, 1, 23, 21, 95, 237, 241, 991, 1159, 2417, 2279, 8941, 20987, 39773, 79327}},
-{12977, 17, 61604, {1, 3, 3, 1, 19, 39, 73, 253, 137, 1009, 1793, 4007, 2017, 7503, 16689, 29013, 41571}},
-{12978, 17, 61607, {1, 3, 7, 15, 3, 63, 77, 11, 293, 495, 339, 3525, 5747, 1807, 11705, 55807, 54163}},
-{12979, 17, 61622, {1, 3, 7, 3, 25, 41, 127, 23, 113, 807, 387, 3529, 2173, 11217, 21257, 61169, 47749}},
-{12980, 17, 61625, {1, 3, 3, 5, 27, 5, 43, 55, 207, 995, 811, 1473, 481, 4317, 2015, 49161, 94711}},
-{12981, 17, 61633, {1, 3, 1, 9, 21, 61, 41, 147, 425, 353, 1943, 2455, 379, 10729, 3045, 16013, 44527}},
-{12982, 17, 61640, {1, 3, 1, 5, 17, 43, 109, 231, 313, 277, 939, 3491, 5883, 2297, 4763, 33403, 62395}},
-{12983, 17, 61643, {1, 1, 3, 9, 1, 49, 37, 145, 383, 467, 621, 2873, 873, 6163, 16475, 49045, 115599}},
-{12984, 17, 61651, {1, 1, 1, 9, 5, 15, 125, 157, 459, 727, 807, 2769, 5531, 11531, 4277, 42301, 16969}},
-{12985, 17, 61658, {1, 1, 3, 1, 15, 23, 39, 121, 163, 537, 409, 1217, 8007, 5671, 19681, 25371, 69227}},
-{12986, 17, 61670, {1, 3, 7, 9, 23, 1, 93, 41, 267, 995, 1917, 3441, 6237, 7233, 30215, 31945, 33967}},
-{12987, 17, 61674, {1, 1, 1, 15, 7, 5, 123, 53, 359, 677, 1061, 1649, 651, 14079, 30211, 14827, 123175}},
-{12988, 17, 61676, {1, 3, 1, 5, 11, 19, 121, 135, 167, 293, 493, 949, 5459, 11785, 21445, 57161, 129737}},
-{12989, 17, 61679, {1, 1, 3, 13, 19, 39, 43, 55, 149, 549, 479, 925, 341, 1151, 12007, 23473, 10671}},
-{12990, 17, 61688, {1, 3, 5, 9, 7, 41, 37, 103, 381, 373, 1767, 3959, 3001, 7903, 24033, 55123, 93627}},
-{12991, 17, 61693, {1, 3, 3, 3, 31, 27, 93, 175, 393, 575, 703, 3715, 6043, 11763, 7613, 15907, 56821}},
-{12992, 17, 61701, {1, 3, 3, 13, 3, 13, 75, 85, 89, 851, 1171, 3075, 5265, 10293, 14745, 32153, 89877}},
-{12993, 17, 61711, {1, 1, 7, 11, 1, 25, 101, 149, 187, 197, 1485, 1555, 1599, 7413, 23275, 27093, 73483}},
-{12994, 17, 61714, {1, 3, 1, 1, 19, 15, 63, 111, 211, 197, 77, 1683, 3159, 235, 32601, 35715, 59537}},
-{12995, 17, 61723, {1, 3, 5, 11, 23, 61, 91, 135, 403, 669, 267, 2507, 2931, 7813, 5047, 40027, 111705}},
-{12996, 17, 61725, {1, 1, 5, 13, 7, 5, 65, 37, 87, 405, 335, 1095, 3717, 1717, 31551, 28181, 47407}},
-{12997, 17, 61726, {1, 1, 5, 13, 3, 43, 67, 99, 507, 861, 1063, 3003, 6095, 11079, 6919, 41597, 97709}},
-{12998, 17, 61729, {1, 1, 3, 1, 7, 23, 109, 161, 321, 499, 549, 363, 2061, 6519, 1531, 1969, 83845}},
-{12999, 17, 61741, {1, 3, 7, 5, 17, 39, 55, 59, 455, 433, 601, 365, 7987, 2207, 3463, 31755, 94203}},
-{13000, 17, 61761, {1, 3, 5, 5, 29, 61, 79, 101, 125, 1011, 867, 2935, 3269, 13601, 21935, 50355, 65883}},
-{13001, 17, 61779, {1, 1, 1, 5, 3, 41, 101, 107, 299, 125, 81, 2421, 2937, 787, 19479, 25803, 74473}},
-{13002, 17, 61781, {1, 3, 3, 1, 3, 15, 73, 13, 167, 387, 75, 601, 415, 6927, 32277, 16709, 12477}},
-{13003, 17, 61782, {1, 1, 5, 1, 19, 37, 53, 45, 139, 737, 159, 2299, 6219, 11613, 22873, 18303, 56875}},
-{13004, 17, 61797, {1, 1, 3, 9, 23, 15, 17, 37, 373, 445, 1369, 2997, 49, 13901, 13155, 37375, 29063}},
-{13005, 17, 61809, {1, 3, 3, 11, 17, 1, 45, 91, 445, 631, 1297, 1907, 3765, 13893, 29379, 17939, 36573}},
-{13006, 17, 61810, {1, 1, 7, 13, 11, 31, 101, 165, 413, 305, 361, 4019, 3183, 2321, 7819, 49275, 101041}},
-{13007, 17, 61816, {1, 1, 7, 1, 13, 43, 125, 165, 357, 293, 1343, 2219, 4189, 6095, 28509, 27763, 53871}},
-{13008, 17, 61822, {1, 3, 3, 11, 29, 33, 105, 71, 297, 637, 1493, 3797, 5525, 15093, 21647, 57647, 1467}},
-{13009, 17, 61849, {1, 1, 1, 13, 19, 7, 5, 141, 71, 221, 923, 1039, 4777, 9481, 1267, 55345, 116061}},
-{13010, 17, 61876, {1, 1, 7, 11, 19, 43, 57, 243, 21, 217, 1075, 569, 3735, 10477, 18595, 34133, 70391}},
-{13011, 17, 61893, {1, 3, 3, 1, 21, 61, 7, 135, 401, 101, 321, 2959, 7371, 3303, 23023, 28163, 19833}},
-{13012, 17, 61905, {1, 1, 3, 9, 31, 43, 27, 243, 297, 145, 663, 3951, 4283, 10421, 9355, 30381, 68317}},
-{13013, 17, 61908, {1, 3, 7, 13, 29, 53, 101, 253, 49, 129, 831, 513, 5567, 5063, 157, 6465, 90983}},
-{13014, 17, 61911, {1, 1, 5, 15, 27, 29, 3, 231, 503, 173, 913, 3971, 7685, 9679, 32243, 967, 73195}},
-{13015, 17, 61912, {1, 1, 1, 15, 19, 55, 127, 3, 405, 239, 1063, 3473, 7543, 4049, 14509, 22657, 5611}},
-{13016, 17, 61928, {1, 3, 7, 1, 21, 39, 61, 249, 421, 401, 1667, 1981, 5503, 9191, 24027, 35049, 12199}},
-{13017, 17, 61934, {1, 3, 5, 5, 27, 1, 99, 83, 287, 997, 721, 1345, 2197, 6335, 4245, 42575, 102635}},
-{13018, 17, 61957, {1, 3, 3, 1, 31, 7, 103, 107, 387, 273, 951, 2475, 1275, 15607, 2159, 55083, 86107}},
-{13019, 17, 61961, {1, 3, 3, 5, 21, 59, 69, 55, 121, 601, 5, 1871, 7161, 4583, 23867, 7933, 3125}},
-{13020, 17, 61969, {1, 1, 1, 15, 17, 41, 51, 45, 383, 579, 713, 275, 1395, 11665, 30521, 11683, 126493}},
-{13021, 17, 61979, {1, 1, 1, 15, 17, 47, 15, 139, 175, 283, 1377, 827, 5753, 8855, 26437, 59219, 105601}},
-{13022, 17, 61982, {1, 1, 7, 11, 13, 3, 27, 141, 137, 851, 767, 2575, 7685, 11719, 24401, 52547, 127299}},
-{13023, 17, 62003, {1, 3, 3, 9, 11, 41, 75, 69, 167, 897, 1213, 3723, 6773, 12141, 28033, 19695, 128545}},
-{13024, 17, 62006, {1, 1, 5, 13, 7, 61, 55, 131, 465, 169, 1669, 711, 5901, 10769, 11273, 23809, 63625}},
-{13025, 17, 62010, {1, 1, 5, 1, 27, 25, 35, 167, 83, 921, 251, 2571, 6723, 14767, 26715, 21699, 60779}},
-{13026, 17, 62015, {1, 3, 1, 9, 15, 5, 59, 241, 405, 323, 1917, 1161, 6079, 13443, 13079, 58617, 63381}},
-{13027, 17, 62020, {1, 3, 1, 5, 9, 5, 79, 123, 87, 395, 667, 2787, 3711, 3613, 1803, 17885, 78975}},
-{13028, 17, 62024, {1, 3, 3, 5, 17, 45, 61, 107, 485, 163, 33, 1491, 7131, 59, 27327, 8043, 14907}},
-{13029, 17, 62029, {1, 3, 1, 11, 27, 37, 5, 251, 115, 339, 1621, 2013, 3517, 2213, 10145, 47121, 84485}},
-{13030, 17, 62032, {1, 3, 3, 1, 9, 11, 71, 25, 363, 867, 1485, 3897, 3339, 7599, 20777, 52009, 127097}},
-{13031, 17, 62035, {1, 1, 3, 9, 25, 37, 29, 231, 183, 315, 399, 879, 6169, 6355, 3729, 9187, 19405}},
-{13032, 17, 62038, {1, 3, 5, 3, 31, 37, 127, 71, 171, 687, 1237, 151, 7391, 2395, 11979, 23381, 117879}},
-{13033, 17, 62047, {1, 1, 1, 13, 13, 43, 71, 235, 131, 79, 1321, 235, 2221, 1133, 13509, 12205, 44771}},
-{13034, 17, 62068, {1, 3, 7, 5, 29, 51, 125, 191, 153, 35, 1657, 2141, 3701, 7177, 31723, 15189, 55441}},
-{13035, 17, 62071, {1, 1, 5, 1, 5, 35, 13, 165, 461, 255, 1825, 1531, 6195, 7717, 973, 12367, 71747}},
-{13036, 17, 62082, {1, 3, 1, 9, 13, 57, 25, 83, 389, 405, 227, 1037, 3805, 15653, 25365, 47991, 54315}},
-{13037, 17, 62088, {1, 1, 1, 13, 17, 55, 113, 151, 145, 951, 1849, 2205, 6513, 7845, 7947, 59429, 44911}},
-{13038, 17, 62096, {1, 3, 5, 3, 25, 9, 99, 159, 183, 445, 153, 3053, 2537, 1787, 19029, 60047, 128203}},
-{13039, 17, 62108, {1, 1, 5, 5, 31, 37, 13, 11, 271, 491, 1141, 1827, 3751, 9471, 7579, 35969, 95245}},
-{13040, 17, 62124, {1, 3, 3, 15, 1, 43, 9, 109, 13, 991, 345, 1577, 947, 3197, 16747, 8127, 116937}},
-{13041, 17, 62142, {1, 3, 3, 15, 11, 17, 103, 89, 33, 741, 1855, 2879, 3899, 9535, 15119, 56165, 86055}},
-{13042, 17, 62147, {1, 3, 5, 1, 31, 41, 57, 205, 69, 163, 1383, 2087, 6483, 6281, 32079, 40825, 28709}},
-{13043, 17, 62153, {1, 1, 1, 13, 23, 57, 103, 247, 421, 773, 1733, 3249, 6681, 9675, 11669, 51673, 86189}},
-{13044, 17, 62159, {1, 1, 5, 15, 7, 37, 63, 123, 77, 941, 277, 1061, 803, 2135, 15745, 47413, 73843}},
-{13045, 17, 62161, {1, 1, 3, 5, 19, 15, 35, 59, 321, 527, 1669, 2929, 513, 4453, 20521, 19781, 115501}},
-{13046, 17, 62171, {1, 1, 7, 3, 23, 1, 99, 251, 129, 271, 1555, 1191, 2445, 11533, 11921, 19131, 80653}},
-{13047, 17, 62189, {1, 1, 7, 15, 15, 33, 79, 89, 113, 517, 1655, 43, 6255, 15415, 19559, 63309, 16857}},
-{13048, 17, 62207, {1, 3, 5, 1, 13, 61, 87, 159, 65, 875, 163, 663, 7651, 8775, 32505, 39313, 83331}},
-{13049, 17, 62227, {1, 1, 7, 15, 27, 19, 63, 117, 427, 233, 1243, 755, 3201, 5153, 31959, 64545, 69219}},
-{13050, 17, 62230, {1, 1, 5, 3, 3, 27, 15, 11, 427, 431, 107, 2433, 6923, 7503, 31347, 64849, 14541}},
-{13051, 17, 62234, {1, 1, 3, 11, 7, 23, 53, 253, 483, 63, 1749, 2989, 5219, 7361, 6423, 1503, 95431}},
-{13052, 17, 62236, {1, 1, 5, 9, 1, 19, 23, 25, 301, 665, 1457, 2423, 6623, 9771, 2755, 8963, 51037}},
-{13053, 17, 62239, {1, 3, 3, 7, 21, 1, 3, 131, 377, 897, 15, 437, 4075, 7669, 31529, 64123, 101249}},
-{13054, 17, 62257, {1, 3, 5, 3, 31, 41, 99, 27, 397, 393, 1895, 2249, 3925, 6393, 2839, 375, 56721}},
-{13055, 17, 62270, {1, 3, 7, 15, 1, 45, 65, 113, 85, 557, 857, 2281, 1395, 2055, 2405, 34541, 63719}},
-{13056, 17, 62278, {1, 3, 1, 15, 7, 43, 21, 29, 15, 229, 1287, 3005, 339, 5833, 21867, 21643, 37557}},
-{13057, 17, 62287, {1, 3, 7, 3, 3, 51, 67, 119, 423, 539, 1995, 4039, 2999, 2787, 29327, 62687, 11893}},
-{13058, 17, 62295, {1, 3, 7, 3, 25, 23, 85, 11, 105, 523, 889, 2983, 2031, 2049, 16119, 41925, 38345}},
-{13059, 17, 62301, {1, 3, 7, 3, 13, 63, 59, 65, 183, 695, 293, 3301, 7895, 13915, 25847, 22819, 92189}},
-{13060, 17, 62306, {1, 1, 3, 3, 7, 27, 101, 229, 435, 227, 1759, 1275, 5781, 6079, 25125, 64833, 69577}},
-{13061, 17, 62312, {1, 1, 3, 1, 29, 1, 61, 45, 193, 441, 687, 841, 4491, 10683, 13989, 60461, 78071}},
-{13062, 17, 62317, {1, 3, 1, 9, 5, 33, 99, 229, 181, 675, 1629, 1855, 4719, 9585, 8059, 26363, 31161}},
-{13063, 17, 62330, {1, 3, 1, 11, 11, 37, 79, 53, 163, 49, 1173, 1715, 8087, 6535, 14985, 24069, 118597}},
-{13064, 17, 62342, {1, 1, 7, 15, 9, 59, 123, 79, 237, 131, 1693, 2525, 6339, 9843, 24309, 24969, 37645}},
-{13065, 17, 62359, {1, 3, 3, 7, 19, 49, 85, 133, 415, 239, 555, 2581, 6523, 2733, 19665, 19989, 105585}},
-{13066, 17, 62365, {1, 3, 3, 7, 23, 37, 31, 121, 59, 7, 2031, 2893, 6429, 10305, 21221, 20105, 38879}},
-{13067, 17, 62366, {1, 3, 1, 13, 23, 21, 93, 93, 343, 641, 411, 971, 1777, 2135, 22895, 9055, 114457}},
-{13068, 17, 62370, {1, 3, 5, 3, 15, 33, 23, 7, 59, 413, 277, 3551, 7737, 2285, 7951, 5013, 94469}},
-{13069, 17, 62375, {1, 3, 1, 15, 25, 1, 109, 245, 153, 187, 1099, 1071, 145, 6735, 10327, 3921, 62123}},
-{13070, 17, 62376, {1, 1, 7, 11, 11, 53, 51, 123, 277, 281, 1763, 3161, 7639, 14515, 29725, 3919, 5525}},
-{13071, 17, 62387, {1, 3, 3, 15, 27, 47, 109, 121, 317, 221, 187, 617, 1331, 5401, 861, 62465, 9227}},
-{13072, 17, 62404, {1, 3, 3, 15, 27, 25, 101, 111, 469, 85, 1285, 1621, 5393, 1367, 17115, 35141, 126989}},
-{13073, 17, 62411, {1, 3, 5, 1, 15, 23, 25, 249, 69, 17, 1103, 2603, 59, 15637, 22051, 29243, 53113}},
-{13074, 17, 62435, {1, 3, 1, 9, 17, 49, 73, 13, 207, 963, 379, 3561, 6447, 7895, 18651, 8109, 3943}},
-{13075, 17, 62441, {1, 3, 5, 11, 7, 41, 55, 85, 481, 831, 593, 4093, 1151, 12353, 24231, 46091, 80967}},
-{13076, 17, 62442, {1, 3, 7, 7, 5, 39, 47, 187, 427, 1007, 813, 3617, 6063, 12981, 18573, 34061, 85741}},
-{13077, 17, 62452, {1, 3, 3, 11, 9, 17, 29, 141, 341, 485, 1075, 4067, 7247, 11295, 31803, 18347, 54985}},
-{13078, 17, 62459, {1, 1, 3, 7, 17, 25, 7, 29, 355, 35, 1753, 669, 4123, 4293, 22875, 36677, 61201}},
-{13079, 17, 62461, {1, 1, 5, 9, 13, 45, 29, 153, 169, 387, 1275, 3161, 4937, 5331, 16203, 43925, 129231}},
-{13080, 17, 62473, {1, 3, 3, 9, 19, 27, 109, 95, 499, 929, 1627, 3215, 6097, 15837, 5655, 29877, 122513}},
-{13081, 17, 62474, {1, 3, 7, 11, 1, 25, 15, 41, 65, 411, 289, 883, 5069, 8405, 11159, 57357, 114253}},
-{13082, 17, 62493, {1, 1, 3, 11, 31, 57, 39, 89, 77, 321, 1667, 871, 6429, 1005, 18905, 13877, 9305}},
-{13083, 17, 62510, {1, 1, 7, 7, 27, 57, 23, 37, 281, 625, 1871, 565, 5979, 13925, 22591, 2375, 8577}},
-{13084, 17, 62518, {1, 1, 1, 7, 31, 35, 91, 221, 495, 811, 1321, 2235, 4287, 3009, 5745, 35013, 93715}},
-{13085, 17, 62524, {1, 1, 7, 3, 11, 53, 17, 13, 319, 225, 117, 3365, 537, 5249, 14219, 23879, 4321}},
-{13086, 17, 62549, {1, 3, 5, 1, 31, 57, 35, 95, 257, 933, 471, 627, 6733, 8707, 25173, 44291, 105041}},
-{13087, 17, 62556, {1, 1, 3, 3, 31, 53, 69, 19, 277, 669, 497, 3957, 2781, 14107, 27741, 53519, 41057}},
-{13088, 17, 62565, {1, 1, 3, 15, 11, 21, 11, 25, 257, 665, 491, 2119, 3893, 14401, 29147, 3369, 116569}},
-{13089, 17, 62566, {1, 3, 1, 1, 13, 49, 31, 231, 217, 711, 1987, 1487, 7073, 473, 28781, 51283, 86049}},
-{13090, 17, 62580, {1, 1, 1, 5, 23, 31, 119, 115, 381, 179, 1725, 2323, 8013, 15191, 13255, 57813, 95437}},
-{13091, 17, 62584, {1, 1, 3, 15, 15, 37, 83, 223, 259, 605, 2013, 4089, 395, 2063, 11735, 51931, 74677}},
-{13092, 17, 62589, {1, 1, 7, 3, 1, 61, 107, 169, 213, 789, 425, 2309, 225, 1305, 20697, 26281, 60129}},
-{13093, 17, 62596, {1, 1, 5, 15, 27, 15, 69, 169, 289, 931, 1491, 3711, 6875, 7723, 21103, 31795, 53955}},
-{13094, 17, 62608, {1, 1, 1, 3, 3, 43, 49, 205, 247, 817, 2037, 2305, 7935, 255, 18835, 49423, 90727}},
-{13095, 17, 62636, {1, 3, 7, 9, 17, 3, 95, 239, 431, 665, 1271, 3559, 5703, 14607, 9723, 11807, 122937}},
-{13096, 17, 62642, {1, 3, 5, 13, 5, 15, 13, 111, 375, 895, 833, 813, 5451, 13841, 1321, 25273, 25443}},
-{13097, 17, 62651, {1, 1, 3, 1, 11, 49, 3, 97, 467, 631, 51, 3577, 1777, 15965, 6837, 38827, 68627}},
-{13098, 17, 62654, {1, 1, 7, 1, 3, 11, 73, 155, 77, 623, 811, 337, 6837, 10925, 2097, 28325, 97487}},
-{13099, 17, 62659, {1, 1, 1, 3, 29, 35, 9, 215, 415, 143, 1837, 3723, 73, 11305, 23187, 19995, 52987}},
-{13100, 17, 62666, {1, 1, 7, 1, 25, 39, 35, 67, 245, 295, 1143, 2043, 1049, 629, 14111, 62893, 86899}},
-{13101, 17, 62680, {1, 3, 7, 5, 3, 41, 123, 97, 241, 743, 259, 3163, 2289, 6363, 24033, 10789, 44117}},
-{13102, 17, 62692, {1, 3, 1, 7, 25, 33, 33, 17, 359, 567, 901, 3595, 179, 8671, 841, 24787, 4367}},
-{13103, 17, 62701, {1, 3, 1, 13, 5, 13, 57, 185, 321, 727, 789, 3081, 5345, 9721, 32029, 11663, 55695}},
-{13104, 17, 62702, {1, 1, 7, 7, 5, 51, 85, 255, 329, 263, 297, 1687, 6799, 10973, 8265, 19615, 115333}},
-{13105, 17, 62714, {1, 1, 1, 5, 29, 27, 55, 167, 465, 73, 661, 137, 7831, 2571, 15373, 64223, 27335}},
-{13106, 17, 62716, {1, 3, 7, 13, 5, 23, 77, 15, 345, 21, 1729, 3231, 967, 12573, 31415, 24249, 110525}},
-{13107, 17, 62733, {1, 1, 7, 9, 31, 37, 41, 119, 169, 891, 1845, 2139, 1747, 1147, 21983, 11617, 25963}},
-{13108, 17, 62762, {1, 3, 3, 7, 23, 5, 1, 11, 95, 795, 1371, 2631, 3241, 6935, 17353, 25013, 89765}},
-{13109, 17, 62769, {1, 3, 1, 7, 19, 3, 121, 19, 389, 117, 1905, 3135, 7601, 12541, 20855, 38613, 15005}},
-{13110, 17, 62770, {1, 3, 3, 5, 17, 43, 91, 99, 113, 545, 1955, 37, 3411, 15173, 24961, 28761, 15245}},
-{13111, 17, 62787, {1, 3, 3, 13, 25, 9, 83, 17, 17, 271, 1133, 3851, 4607, 11017, 14867, 20677, 42881}},
-{13112, 17, 62794, {1, 1, 5, 15, 5, 9, 99, 179, 263, 623, 441, 2577, 189, 11595, 21505, 27215, 54081}},
-{13113, 17, 62801, {1, 1, 7, 1, 1, 63, 123, 119, 245, 467, 169, 3075, 909, 3581, 14571, 33071, 6261}},
-{13114, 17, 62807, {1, 1, 1, 13, 9, 35, 47, 161, 47, 893, 57, 703, 3373, 4167, 26555, 51265, 1391}},
-{13115, 17, 62808, {1, 3, 1, 13, 9, 61, 9, 5, 47, 259, 579, 113, 355, 14539, 25757, 10119, 96869}},
-{13116, 17, 62813, {1, 1, 5, 11, 3, 5, 61, 231, 291, 21, 1711, 2981, 4727, 14287, 12149, 40275, 51809}},
-{13117, 17, 62817, {1, 3, 5, 3, 21, 5, 87, 251, 373, 679, 949, 1023, 5183, 14549, 4135, 54927, 20369}},
-{13118, 17, 62818, {1, 3, 3, 11, 7, 43, 127, 97, 469, 81, 1843, 3955, 125, 8607, 27185, 50761, 122753}},
-{13119, 17, 62832, {1, 3, 5, 5, 25, 61, 1, 55, 333, 949, 1005, 1051, 6291, 8343, 9627, 37739, 116911}},
-{13120, 17, 62841, {1, 3, 3, 13, 21, 9, 67, 225, 179, 837, 2009, 3171, 217, 5629, 23451, 63171, 53225}},
-{13121, 17, 62857, {1, 3, 7, 1, 23, 15, 91, 163, 351, 883, 579, 3923, 2641, 12735, 24955, 1131, 65119}},
-{13122, 17, 62860, {1, 1, 1, 11, 29, 5, 113, 217, 171, 535, 913, 2419, 3843, 12365, 8287, 27367, 57369}},
-{13123, 17, 62871, {1, 1, 5, 11, 9, 41, 57, 243, 123, 159, 1517, 2653, 4307, 4243, 2801, 43131, 18435}},
-{13124, 17, 62882, {1, 1, 7, 9, 23, 59, 83, 159, 57, 723, 1635, 7, 1463, 121, 541, 7657, 83917}},
-{13125, 17, 62888, {1, 3, 7, 7, 23, 27, 125, 103, 247, 1019, 1063, 3979, 8085, 6449, 12443, 63427, 106235}},
-{13126, 17, 62913, {1, 1, 7, 5, 9, 31, 23, 83, 503, 605, 1731, 3341, 7427, 14571, 5981, 39043, 42965}},
-{13127, 17, 62919, {1, 3, 5, 1, 17, 49, 109, 171, 301, 951, 1879, 1317, 457, 8085, 6803, 62521, 67871}},
-{13128, 17, 62920, {1, 1, 7, 11, 11, 27, 1, 71, 335, 137, 265, 1267, 6399, 14823, 925, 49895, 19731}},
-{13129, 17, 62925, {1, 3, 1, 13, 3, 35, 75, 253, 211, 483, 1495, 3695, 3033, 14643, 1861, 51269, 32655}},
-{13130, 17, 62933, {1, 3, 7, 1, 5, 17, 63, 1, 83, 435, 2007, 2023, 57, 8639, 27067, 4039, 1955}},
-{13131, 17, 62938, {1, 3, 5, 15, 27, 51, 59, 47, 77, 131, 507, 559, 645, 16067, 20989, 15565, 39925}},
-{13132, 17, 62940, {1, 3, 3, 5, 11, 15, 63, 121, 39, 1019, 1027, 2821, 3297, 13769, 18587, 14199, 82251}},
-{13133, 17, 62949, {1, 1, 5, 1, 31, 11, 89, 75, 147, 1007, 917, 3519, 5097, 5695, 15185, 14819, 38597}},
-{13134, 17, 62956, {1, 3, 3, 3, 15, 7, 127, 55, 83, 887, 1901, 75, 639, 713, 13631, 27447, 106707}},
-{13135, 17, 62971, {1, 3, 3, 15, 27, 25, 85, 163, 187, 959, 815, 1403, 6129, 6515, 31597, 28307, 30077}},
-{13136, 17, 62978, {1, 3, 1, 13, 5, 19, 117, 89, 11, 489, 845, 2899, 3695, 3279, 22355, 38759, 85849}},
-{13137, 17, 62990, {1, 3, 1, 7, 25, 59, 109, 185, 87, 591, 825, 1119, 7439, 5451, 17959, 51299, 76693}},
-{13138, 17, 62995, {1, 1, 7, 5, 25, 29, 115, 249, 185, 529, 593, 103, 1739, 4769, 25925, 3317, 102445}},
-{13139, 17, 62997, {1, 1, 3, 1, 3, 35, 19, 255, 279, 295, 1075, 2817, 3513, 7501, 15885, 21653, 113447}},
-{13140, 17, 63004, {1, 3, 1, 5, 27, 1, 21, 137, 303, 981, 631, 2339, 397, 13075, 28815, 50925, 44379}},
-{13141, 17, 63011, {1, 1, 7, 7, 31, 31, 59, 129, 105, 181, 1041, 2685, 1061, 1721, 30365, 6873, 30011}},
-{13142, 17, 63032, {1, 1, 3, 1, 19, 31, 125, 39, 9, 631, 1239, 1061, 6313, 9639, 5991, 27293, 84635}},
-{13143, 17, 63038, {1, 3, 3, 11, 17, 59, 17, 241, 195, 175, 1845, 251, 3323, 13399, 20493, 15241, 69303}},
-{13144, 17, 63067, {1, 1, 5, 3, 9, 19, 59, 25, 49, 359, 263, 4045, 1527, 6703, 555, 26413, 42757}},
-{13145, 17, 63069, {1, 1, 5, 9, 23, 5, 7, 223, 247, 407, 1079, 1069, 3417, 14795, 5015, 2965, 99059}},
-{13146, 17, 63076, {1, 3, 7, 5, 27, 47, 9, 37, 47, 181, 819, 2049, 2643, 9231, 8173, 33495, 91321}},
-{13147, 17, 63083, {1, 3, 5, 11, 5, 27, 5, 237, 349, 653, 1443, 137, 7969, 5961, 24749, 37523, 88921}},
-{13148, 17, 63088, {1, 3, 7, 13, 11, 51, 49, 71, 339, 195, 1239, 3479, 2771, 15217, 23729, 7839, 32633}},
-{13149, 17, 63094, {1, 1, 5, 5, 5, 13, 103, 185, 13, 273, 1793, 761, 5327, 8659, 32599, 38181, 121115}},
-{13150, 17, 63097, {1, 3, 7, 15, 17, 55, 69, 151, 231, 421, 1679, 3657, 8001, 12599, 13761, 13517, 130199}},
-{13151, 17, 63100, {1, 1, 5, 3, 5, 15, 15, 61, 489, 219, 925, 2329, 3415, 10779, 31297, 63805, 13375}},
-{13152, 17, 63104, {1, 1, 7, 9, 7, 11, 87, 45, 39, 885, 87, 1877, 8135, 1247, 25685, 23631, 65579}},
-{13153, 17, 63114, {1, 3, 3, 7, 1, 17, 31, 75, 455, 535, 509, 2151, 1737, 7579, 12727, 25139, 32659}},
-{13154, 17, 63116, {1, 3, 5, 7, 15, 27, 111, 145, 99, 767, 167, 3391, 2155, 7895, 3405, 47451, 65185}},
-{13155, 17, 63122, {1, 1, 1, 3, 23, 31, 15, 53, 59, 787, 431, 2691, 71, 2843, 13469, 54029, 2233}},
-{13156, 17, 63128, {1, 1, 5, 1, 5, 39, 57, 31, 75, 507, 811, 2747, 317, 13545, 7395, 65161, 87987}},
-{13157, 17, 63149, {1, 3, 5, 5, 13, 17, 11, 89, 371, 337, 913, 2775, 27, 4923, 24013, 62955, 65185}},
-{13158, 17, 63150, {1, 3, 3, 7, 9, 27, 91, 187, 17, 443, 807, 853, 6243, 12351, 8123, 4203, 61021}},
-{13159, 17, 63157, {1, 1, 1, 5, 9, 33, 101, 211, 205, 701, 1289, 1253, 653, 8591, 13009, 48525, 77051}},
-{13160, 17, 63167, {1, 3, 5, 11, 5, 19, 1, 67, 259, 355, 15, 2169, 6785, 2019, 8675, 1019, 85903}},
-{13161, 17, 63187, {1, 3, 7, 5, 27, 31, 103, 163, 369, 685, 659, 2009, 5819, 10437, 17311, 35083, 122125}},
-{13162, 17, 63200, {1, 3, 5, 7, 19, 13, 93, 113, 377, 359, 1697, 4063, 4379, 9321, 7335, 25491, 85939}},
-{13163, 17, 63220, {1, 3, 3, 5, 7, 25, 41, 225, 355, 257, 743, 2067, 7627, 14317, 7385, 25187, 63103}},
-{13164, 17, 63223, {1, 1, 7, 7, 17, 43, 75, 1, 95, 547, 1937, 2263, 1709, 5067, 22651, 55733, 44619}},
-{13165, 17, 63229, {1, 1, 7, 3, 5, 27, 45, 23, 107, 547, 1733, 1169, 6709, 861, 4439, 55381, 96447}},
-{13166, 17, 63235, {1, 1, 7, 11, 25, 23, 127, 159, 489, 945, 843, 3715, 5215, 2131, 9681, 35515, 108109}},
-{13167, 17, 63247, {1, 1, 3, 7, 5, 1, 67, 59, 83, 745, 1337, 855, 6087, 14319, 13405, 36261, 49091}},
-{13168, 17, 63252, {1, 3, 1, 1, 13, 27, 41, 155, 463, 709, 1111, 2017, 4701, 8663, 29703, 45311, 113347}},
-{13169, 17, 63255, {1, 1, 7, 5, 1, 11, 83, 101, 283, 505, 893, 705, 2331, 5127, 21793, 28095, 59055}},
-{13170, 17, 63289, {1, 1, 5, 9, 25, 7, 97, 155, 71, 569, 1481, 897, 6177, 13367, 12163, 18171, 24785}},
-{13171, 17, 63298, {1, 3, 5, 11, 19, 25, 7, 15, 511, 369, 957, 1247, 6097, 11181, 17265, 24777, 87377}},
-{13172, 17, 63303, {1, 3, 1, 7, 11, 9, 39, 191, 9, 793, 867, 2779, 3447, 3805, 21025, 64719, 15669}},
-{13173, 17, 63327, {1, 1, 3, 1, 31, 43, 107, 103, 175, 131, 1525, 993, 635, 14383, 26835, 15929, 109977}},
-{13174, 17, 63328, {1, 1, 1, 3, 19, 17, 99, 249, 47, 467, 853, 2805, 3155, 1565, 17291, 18865, 11039}},
-{13175, 17, 63348, {1, 1, 5, 13, 25, 61, 91, 67, 361, 947, 1909, 3403, 945, 3481, 16703, 50227, 43963}},
-{13176, 17, 63355, {1, 3, 1, 3, 19, 27, 31, 219, 185, 579, 1539, 315, 4421, 9473, 30289, 48477, 61365}},
-{13177, 17, 63357, {1, 1, 3, 1, 23, 11, 101, 1, 133, 305, 1107, 1145, 1733, 13275, 221, 5071, 81987}},
-{13178, 17, 63368, {1, 1, 1, 13, 7, 61, 47, 5, 137, 979, 1183, 2049, 5263, 6515, 5585, 6093, 119689}},
-{13179, 17, 63391, {1, 3, 1, 5, 19, 47, 83, 115, 215, 901, 1685, 755, 2327, 13297, 6847, 40329, 19225}},
-{13180, 17, 63402, {1, 1, 3, 3, 3, 13, 31, 127, 199, 655, 55, 2183, 5031, 945, 6073, 54729, 108281}},
-{13181, 17, 63409, {1, 1, 1, 1, 11, 51, 37, 19, 73, 205, 1377, 1881, 3679, 4487, 14693, 41735, 27349}},
-{13182, 17, 63416, {1, 3, 7, 13, 1, 35, 37, 73, 45, 973, 209, 529, 5283, 9765, 26367, 12697, 8685}},
-{13183, 17, 63419, {1, 3, 3, 9, 3, 45, 115, 35, 475, 663, 487, 3613, 4151, 15623, 3057, 31519, 87545}},
-{13184, 17, 63430, {1, 3, 7, 5, 23, 13, 25, 255, 355, 433, 1671, 667, 7463, 14189, 14107, 1531, 11695}},
-{13185, 17, 63442, {1, 1, 7, 3, 15, 25, 37, 127, 265, 493, 1763, 2721, 4335, 13753, 5947, 18375, 29911}},
-{13186, 17, 63457, {1, 1, 3, 15, 1, 55, 25, 69, 335, 157, 1923, 1757, 5689, 6731, 723, 6471, 57415}},
-{13187, 17, 63458, {1, 3, 3, 3, 1, 15, 127, 227, 401, 395, 503, 3783, 1737, 8785, 16287, 34949, 91683}},
-{13188, 17, 63482, {1, 3, 5, 15, 23, 29, 55, 119, 115, 855, 657, 3729, 5309, 14773, 5647, 25953, 67303}},
-{13189, 17, 63487, {1, 3, 5, 13, 23, 25, 1, 187, 67, 389, 359, 619, 2523, 11203, 11049, 60345, 53931}},
-{13190, 17, 63488, {1, 3, 1, 7, 7, 45, 99, 123, 495, 797, 939, 3387, 7563, 16289, 8309, 14917, 99867}},
-{13191, 17, 63500, {1, 3, 5, 11, 29, 49, 89, 205, 447, 541, 1279, 1153, 7277, 5393, 8743, 41057, 100119}},
-{13192, 17, 63511, {1, 1, 1, 9, 1, 7, 43, 165, 259, 311, 993, 1381, 3363, 577, 4023, 443, 101785}},
-{13193, 17, 63517, {1, 1, 7, 9, 25, 55, 93, 63, 423, 787, 549, 1039, 383, 15855, 6013, 51399, 60007}},
-{13194, 17, 63528, {1, 3, 3, 1, 5, 17, 103, 91, 309, 85, 1319, 3869, 559, 3993, 18111, 17753, 66681}},
-{13195, 17, 63531, {1, 3, 7, 9, 1, 11, 87, 151, 311, 597, 811, 3955, 275, 6555, 17005, 26763, 31227}},
-{13196, 17, 63559, {1, 1, 3, 11, 19, 51, 41, 101, 183, 1003, 1635, 2061, 3305, 12925, 7223, 4859, 24433}},
-{13197, 17, 63566, {1, 3, 7, 11, 7, 43, 79, 53, 43, 429, 947, 2533, 7005, 15147, 13435, 33997, 21201}},
-{13198, 17, 63578, {1, 1, 3, 5, 15, 17, 61, 41, 383, 465, 1439, 3503, 3981, 14469, 5075, 25953, 70461}},
-{13199, 17, 63580, {1, 1, 1, 13, 21, 53, 25, 59, 59, 195, 665, 3367, 2777, 9179, 24207, 56729, 94241}},
-{13200, 17, 63584, {1, 3, 7, 15, 27, 13, 41, 147, 415, 351, 961, 3811, 1605, 14231, 31789, 41189, 50265}},
-{13201, 17, 63587, {1, 3, 3, 7, 31, 39, 85, 219, 323, 657, 423, 1579, 3623, 7663, 14631, 47169, 88795}},
-{13202, 17, 63594, {1, 3, 1, 3, 1, 3, 125, 65, 259, 3, 1897, 2203, 347, 4101, 23841, 20217, 117407}},
-{13203, 17, 63607, {1, 1, 3, 7, 29, 1, 75, 255, 413, 237, 1531, 2103, 6847, 10395, 9817, 9383, 60679}},
-{13204, 17, 63611, {1, 3, 5, 3, 7, 63, 17, 83, 375, 835, 1707, 3227, 327, 2205, 25025, 47471, 39967}},
-{13205, 17, 63630, {1, 3, 7, 7, 9, 51, 23, 189, 157, 351, 755, 2695, 3923, 3481, 12159, 1041, 94563}},
-{13206, 17, 63632, {1, 1, 3, 11, 25, 27, 39, 19, 221, 795, 523, 695, 3257, 8045, 2643, 43239, 13291}},
-{13207, 17, 63641, {1, 3, 3, 5, 29, 1, 33, 117, 477, 147, 1117, 1943, 7967, 15999, 10673, 13349, 89471}},
-{13208, 17, 63647, {1, 1, 3, 9, 17, 51, 55, 115, 147, 687, 1751, 3685, 3099, 15369, 371, 55673, 67951}},
-{13209, 17, 63651, {1, 1, 7, 1, 5, 25, 67, 31, 103, 439, 1581, 705, 3855, 15985, 7151, 56511, 23697}},
-{13210, 17, 63666, {1, 3, 5, 3, 21, 7, 11, 123, 121, 1009, 277, 623, 7913, 7525, 4759, 19245, 16735}},
-{13211, 17, 63668, {1, 1, 5, 11, 7, 57, 103, 147, 199, 209, 233, 3665, 4215, 13511, 16393, 37873, 120857}},
-{13212, 17, 63695, {1, 1, 7, 9, 27, 45, 29, 97, 279, 379, 1683, 1965, 1183, 11389, 20445, 38435, 56893}},
-{13213, 17, 63697, {1, 3, 5, 5, 27, 23, 89, 169, 329, 659, 393, 903, 6217, 6459, 27327, 2843, 44889}},
-{13214, 17, 63709, {1, 1, 1, 15, 3, 53, 109, 83, 195, 5, 1865, 729, 3627, 13307, 20761, 50375, 60379}},
-{13215, 17, 63723, {1, 1, 1, 13, 25, 57, 17, 185, 359, 797, 469, 2637, 973, 2731, 25299, 15169, 90187}},
-{13216, 17, 63737, {1, 3, 5, 1, 19, 39, 87, 161, 117, 565, 1737, 3995, 6487, 5067, 18531, 38803, 45453}},
-{13217, 17, 63746, {1, 1, 1, 5, 19, 3, 93, 85, 479, 369, 469, 1407, 475, 7775, 12273, 34417, 65611}},
-{13218, 17, 63752, {1, 1, 3, 15, 31, 11, 105, 19, 281, 711, 713, 3423, 797, 11215, 31409, 44891, 110413}},
-{13219, 17, 63755, {1, 1, 3, 11, 13, 17, 59, 111, 59, 431, 1517, 2159, 1697, 12309, 16293, 2097, 107273}},
-{13220, 17, 63775, {1, 3, 5, 15, 25, 19, 97, 107, 97, 563, 247, 3691, 2775, 10631, 15113, 25721, 12995}},
-{13221, 17, 63781, {1, 1, 5, 3, 31, 25, 47, 201, 231, 123, 1923, 2287, 1711, 12271, 1573, 6605, 72991}},
-{13222, 17, 63794, {1, 1, 5, 5, 27, 17, 109, 125, 423, 1, 819, 3041, 685, 8791, 19697, 13107, 67681}},
-{13223, 17, 63796, {1, 1, 5, 3, 5, 63, 115, 95, 117, 715, 1523, 1231, 8171, 1615, 9819, 14361, 87075}},
-{13224, 17, 63808, {1, 1, 7, 7, 7, 35, 35, 175, 349, 853, 1665, 3101, 6051, 10737, 933, 40591, 9419}},
-{13225, 17, 63817, {1, 1, 1, 3, 23, 49, 65, 23, 103, 837, 403, 3799, 6515, 15363, 28079, 36381, 59523}},
-{13226, 17, 63820, {1, 3, 1, 15, 15, 25, 119, 181, 229, 685, 1047, 2397, 4855, 15393, 2371, 42441, 30151}},
-{13227, 17, 63826, {1, 3, 7, 11, 15, 5, 13, 93, 219, 203, 475, 523, 5827, 6579, 26759, 29795, 108463}},
-{13228, 17, 63838, {1, 1, 7, 13, 25, 53, 75, 195, 443, 1003, 501, 2543, 5453, 3119, 19225, 59631, 16413}},
-{13229, 17, 63848, {1, 1, 7, 13, 13, 25, 93, 211, 191, 1005, 1567, 3057, 3001, 1125, 6237, 35725, 108257}},
-{13230, 17, 63861, {1, 1, 3, 7, 21, 11, 57, 205, 487, 263, 1801, 3235, 1819, 10875, 6063, 26211, 54699}},
-{13231, 17, 63862, {1, 3, 3, 7, 11, 59, 89, 217, 15, 991, 1343, 1247, 277, 13377, 18499, 64987, 26053}},
-{13232, 17, 63866, {1, 3, 3, 1, 15, 51, 111, 69, 137, 817, 1207, 1729, 3877, 9873, 18449, 50749, 57457}},
-{13233, 17, 63878, {1, 3, 3, 5, 3, 39, 97, 147, 327, 257, 1547, 769, 7077, 5221, 13679, 44237, 70053}},
-{13234, 17, 63889, {1, 1, 5, 11, 19, 15, 79, 187, 335, 645, 1235, 4041, 4831, 10847, 28135, 48353, 64921}},
-{13235, 17, 63892, {1, 1, 7, 9, 3, 43, 41, 149, 71, 205, 1513, 2801, 6785, 3187, 25401, 55367, 114491}},
-{13236, 17, 63901, {1, 1, 7, 1, 25, 11, 37, 205, 365, 435, 147, 1303, 587, 14563, 32461, 28983, 86157}},
-{13237, 17, 63915, {1, 1, 7, 1, 31, 11, 51, 37, 401, 343, 1677, 991, 501, 11993, 14781, 37055, 30161}},
-{13238, 17, 63917, {1, 3, 5, 9, 9, 21, 95, 45, 447, 957, 943, 3997, 4033, 8371, 25007, 52827, 50207}},
-{13239, 17, 63926, {1, 1, 7, 1, 9, 45, 3, 255, 297, 341, 215, 3631, 7049, 7625, 4145, 50109, 48615}},
-{13240, 17, 63932, {1, 3, 3, 9, 27, 49, 41, 143, 291, 343, 719, 311, 3819, 7699, 17631, 64785, 49239}},
-{13241, 17, 63937, {1, 1, 7, 3, 27, 35, 61, 183, 153, 781, 979, 1465, 3315, 14893, 29847, 18461, 74949}},
-{13242, 17, 63938, {1, 3, 5, 15, 19, 61, 39, 219, 279, 909, 1295, 1681, 8021, 957, 7675, 14001, 77669}},
-{13243, 17, 63943, {1, 3, 1, 5, 15, 59, 127, 85, 229, 649, 503, 3267, 2465, 5637, 2729, 24831, 44791}},
-{13244, 17, 63944, {1, 3, 7, 11, 23, 55, 61, 191, 345, 255, 105, 1361, 3913, 7655, 8865, 1825, 80619}},
-{13245, 17, 63950, {1, 3, 3, 13, 29, 15, 53, 19, 1, 651, 917, 2043, 2333, 13695, 28225, 16457, 11287}},
-{13246, 17, 63952, {1, 1, 3, 13, 15, 53, 41, 211, 13, 287, 383, 3923, 665, 10343, 4803, 22199, 90521}},
-{13247, 17, 63955, {1, 3, 7, 11, 23, 27, 127, 241, 11, 451, 495, 2779, 319, 13119, 5575, 43043, 11659}},
-{13248, 17, 63957, {1, 1, 1, 7, 17, 53, 55, 39, 233, 273, 1873, 843, 7885, 329, 6809, 33119, 116017}},
-{13249, 17, 63961, {1, 1, 1, 7, 21, 41, 23, 113, 283, 265, 1535, 2371, 3975, 6293, 22497, 65349, 48653}},
-{13250, 17, 63962, {1, 3, 7, 9, 25, 21, 61, 135, 245, 777, 679, 2603, 565, 3251, 32469, 12707, 40297}},
-{13251, 17, 63978, {1, 1, 1, 5, 31, 49, 35, 215, 445, 669, 779, 2231, 5399, 5853, 17941, 33973, 126141}},
-{13252, 17, 63983, {1, 3, 5, 5, 3, 31, 45, 235, 51, 65, 295, 3755, 8101, 821, 28331, 38837, 55235}},
-{13253, 17, 63988, {1, 1, 5, 15, 23, 15, 37, 197, 59, 455, 1875, 1745, 7565, 8039, 15901, 63129, 36095}},
-{13254, 17, 64008, {1, 1, 5, 11, 7, 1, 77, 235, 309, 245, 1539, 1421, 3401, 1477, 12655, 19851, 86147}},
-{13255, 17, 64013, {1, 1, 3, 9, 27, 9, 113, 127, 167, 213, 161, 4065, 1275, 10699, 26111, 26213, 129091}},
-{13256, 17, 64019, {1, 3, 5, 9, 9, 17, 109, 205, 23, 145, 1261, 51, 5855, 7411, 20551, 5801, 47841}},
-{13257, 17, 64026, {1, 1, 3, 3, 15, 1, 1, 39, 431, 601, 177, 525, 6951, 6271, 27031, 37157, 73979}},
-{13258, 17, 64028, {1, 3, 1, 3, 19, 61, 11, 131, 31, 223, 959, 3531, 2433, 15675, 29201, 49277, 43977}},
-{13259, 17, 64032, {1, 1, 5, 9, 5, 27, 57, 3, 503, 755, 1261, 3659, 6685, 10041, 24739, 12201, 19753}},
-{13260, 17, 64042, {1, 1, 7, 3, 31, 27, 7, 191, 7, 415, 1665, 1413, 7493, 2645, 23577, 46331, 9481}},
-{13261, 17, 64044, {1, 1, 5, 1, 29, 59, 99, 231, 33, 613, 1347, 2671, 1767, 15685, 26583, 44699, 73511}},
-{13262, 17, 64055, {1, 1, 3, 3, 9, 47, 93, 87, 45, 549, 219, 2141, 233, 10239, 30325, 14985, 70325}},
-{13263, 17, 64070, {1, 1, 3, 3, 21, 39, 81, 179, 319, 853, 93, 2869, 59, 6675, 22391, 16089, 33949}},
-{13264, 17, 64079, {1, 1, 3, 7, 31, 19, 73, 249, 175, 57, 1717, 3557, 2307, 4595, 22045, 33291, 123003}},
-{13265, 17, 64084, {1, 1, 1, 3, 7, 23, 81, 229, 387, 1001, 1371, 17, 667, 3043, 30507, 44613, 32239}},
-{13266, 17, 64087, {1, 1, 7, 15, 15, 59, 83, 99, 101, 863, 333, 845, 7547, 13345, 7599, 51, 10963}},
-{13267, 17, 64093, {1, 1, 1, 3, 15, 55, 73, 37, 429, 711, 1315, 2911, 5109, 953, 14721, 25551, 33527}},
-{13268, 17, 64100, {1, 1, 5, 9, 11, 57, 75, 107, 449, 293, 1267, 2633, 5291, 9939, 12365, 1975, 75705}},
-{13269, 17, 64104, {1, 3, 3, 7, 19, 51, 111, 233, 369, 873, 1419, 425, 6587, 11371, 29613, 28041, 77405}},
-{13270, 17, 64109, {1, 3, 1, 15, 11, 1, 65, 185, 301, 25, 75, 1353, 6879, 11519, 24093, 65223, 130659}},
-{13271, 17, 64140, {1, 1, 3, 3, 17, 17, 33, 177, 467, 841, 949, 1119, 7869, 5835, 22175, 20439, 98923}},
-{13272, 17, 64148, {1, 3, 1, 9, 1, 19, 1, 9, 487, 425, 1095, 1995, 693, 12661, 27717, 56167, 34829}},
-{13273, 17, 64151, {1, 1, 7, 7, 27, 57, 85, 159, 109, 801, 477, 3953, 3195, 11079, 26885, 59833, 4971}},
-{13274, 17, 64152, {1, 1, 1, 15, 25, 9, 89, 231, 499, 623, 1385, 3753, 4781, 15263, 12721, 17511, 67327}},
-{13275, 17, 64171, {1, 1, 3, 7, 9, 11, 103, 65, 319, 681, 1423, 2355, 6243, 399, 8483, 23697, 107995}},
-{13276, 17, 64179, {1, 1, 1, 1, 5, 7, 63, 117, 151, 905, 163, 3813, 6931, 13161, 15131, 63067, 15649}},
-{13277, 17, 64186, {1, 3, 3, 3, 13, 57, 69, 199, 283, 153, 617, 123, 3125, 3057, 8121, 14483, 28085}},
-{13278, 17, 64203, {1, 3, 7, 15, 25, 45, 25, 179, 91, 457, 681, 537, 243, 4369, 11395, 17565, 47875}},
-{13279, 17, 64206, {1, 3, 1, 13, 29, 51, 101, 23, 143, 715, 1725, 791, 6001, 4283, 10689, 49237, 5231}},
-{13280, 17, 64213, {1, 3, 3, 5, 27, 41, 39, 17, 501, 587, 1067, 1859, 9, 13449, 31257, 17675, 99769}},
-{13281, 17, 64214, {1, 1, 1, 3, 15, 57, 119, 195, 15, 779, 761, 733, 3505, 4815, 23167, 411, 52303}},
-{13282, 17, 64220, {1, 3, 1, 13, 9, 31, 5, 141, 19, 487, 739, 577, 4383, 1951, 24293, 45503, 111923}},
-{13283, 17, 64233, {1, 3, 1, 11, 25, 37, 107, 245, 89, 107, 1969, 1569, 7475, 11795, 6123, 45311, 52251}},
-{13284, 17, 64239, {1, 1, 7, 11, 15, 9, 67, 141, 199, 91, 819, 3721, 6251, 6107, 9393, 14941, 98545}},
-{13285, 17, 64248, {1, 3, 3, 11, 23, 9, 31, 211, 339, 665, 1507, 2255, 3589, 11495, 28393, 2017, 106735}},
-{13286, 17, 64251, {1, 3, 5, 11, 27, 13, 105, 217, 173, 337, 1573, 837, 3771, 8645, 28749, 27501, 45045}},
-{13287, 17, 64259, {1, 1, 5, 1, 11, 43, 99, 217, 131, 545, 1323, 3089, 5689, 785, 9043, 29961, 17855}},
-{13288, 17, 64268, {1, 1, 3, 9, 31, 41, 61, 239, 271, 123, 1583, 397, 4243, 12197, 9847, 12341, 130533}},
-{13289, 17, 64273, {1, 3, 5, 3, 27, 11, 33, 31, 77, 403, 823, 2791, 3475, 4201, 15967, 39149, 107137}},
-{13290, 17, 64279, {1, 3, 1, 11, 9, 5, 103, 145, 85, 341, 1615, 729, 7209, 10289, 20807, 54167, 15613}},
-{13291, 17, 64283, {1, 3, 7, 1, 29, 33, 91, 219, 171, 367, 907, 3645, 1059, 9031, 247, 13231, 14323}},
-{13292, 17, 64292, {1, 1, 1, 7, 19, 15, 65, 61, 221, 941, 1005, 1447, 3513, 8917, 17399, 52471, 64245}},
-{13293, 17, 64296, {1, 1, 5, 7, 5, 35, 15, 253, 325, 313, 2015, 3239, 1633, 9745, 11617, 10575, 35877}},
-{13294, 17, 64301, {1, 3, 5, 3, 13, 1, 115, 207, 227, 637, 1119, 781, 2897, 1573, 16499, 43167, 20631}},
-{13295, 17, 64302, {1, 3, 5, 9, 17, 47, 117, 7, 303, 719, 975, 1167, 2463, 5255, 28237, 33495, 57133}},
-{13296, 17, 64324, {1, 3, 5, 11, 5, 43, 123, 63, 19, 97, 1423, 695, 5985, 5923, 5755, 22721, 5411}},
-{13297, 17, 64331, {1, 3, 1, 9, 9, 25, 87, 197, 325, 827, 1679, 1561, 101, 3951, 17453, 33537, 121431}},
-{13298, 17, 64346, {1, 1, 7, 5, 13, 33, 3, 191, 171, 37, 619, 1917, 7525, 14103, 25807, 25455, 57455}},
-{13299, 17, 64364, {1, 3, 3, 1, 9, 35, 93, 159, 455, 115, 479, 665, 477, 4483, 29751, 45047, 41251}},
-{13300, 17, 64382, {1, 3, 1, 3, 11, 47, 41, 199, 511, 475, 151, 1163, 239, 6731, 4461, 39845, 99555}},
-{13301, 17, 64386, {1, 1, 5, 7, 9, 5, 49, 221, 503, 637, 1323, 3303, 4137, 6675, 17709, 49233, 38325}},
-{13302, 17, 64400, {1, 1, 5, 15, 1, 43, 55, 67, 291, 393, 237, 3555, 4171, 909, 8655, 46309, 61799}},
-{13303, 17, 64409, {1, 3, 5, 3, 3, 37, 125, 249, 509, 611, 983, 4093, 1633, 10063, 10811, 60033, 40999}},
-{13304, 17, 64419, {1, 3, 5, 11, 1, 37, 75, 255, 279, 545, 1999, 833, 2789, 14601, 16707, 64703, 53545}},
-{13305, 17, 64433, {1, 1, 5, 7, 3, 15, 59, 11, 17, 711, 721, 765, 3747, 13549, 28641, 47437, 42261}},
-{13306, 17, 64454, {1, 3, 7, 1, 3, 45, 65, 45, 279, 929, 933, 2215, 7095, 14593, 6047, 40747, 109789}},
-{13307, 17, 64458, {1, 3, 7, 15, 15, 55, 89, 155, 345, 515, 1005, 2921, 1761, 1095, 28463, 20971, 62451}},
-{13308, 17, 64482, {1, 3, 3, 1, 1, 41, 35, 149, 481, 171, 305, 1411, 237, 4515, 32375, 22645, 741}},
-{13309, 17, 64494, {1, 1, 1, 15, 17, 1, 123, 235, 221, 495, 1693, 3109, 6453, 8827, 23775, 9303, 30237}},
-{13310, 17, 64496, {1, 3, 3, 5, 7, 63, 37, 13, 457, 159, 1683, 2207, 1731, 3341, 7415, 21073, 119417}},
-{13311, 17, 64505, {1, 1, 7, 15, 21, 27, 5, 67, 267, 919, 203, 1129, 4029, 3407, 16767, 35485, 66903}},
-{13312, 17, 64514, {1, 1, 1, 5, 15, 29, 99, 5, 219, 677, 443, 3799, 2461, 747, 20885, 32661, 44079}},
-{13313, 17, 64519, {1, 1, 1, 1, 3, 55, 53, 151, 195, 587, 1155, 2439, 3817, 8735, 30849, 54107, 14113}},
-{13314, 17, 64525, {1, 1, 1, 9, 29, 15, 89, 175, 373, 925, 301, 3749, 5439, 2653, 22819, 41201, 77043}},
-{13315, 17, 64528, {1, 1, 1, 1, 25, 49, 29, 129, 331, 539, 1247, 773, 7891, 5905, 19571, 17919, 6815}},
-{13316, 17, 64534, {1, 1, 3, 15, 5, 63, 123, 133, 141, 383, 1893, 573, 629, 3939, 9455, 50433, 111415}},
-{13317, 17, 64561, {1, 1, 7, 9, 15, 33, 119, 159, 17, 511, 1841, 427, 3911, 8609, 4215, 9799, 84397}},
-{13318, 17, 64571, {1, 1, 7, 3, 9, 25, 63, 247, 235, 635, 915, 3423, 5421, 7021, 9203, 18121, 3683}},
-{13319, 17, 64579, {1, 3, 1, 1, 25, 11, 105, 1, 491, 137, 1923, 103, 3371, 3543, 5173, 36777, 23417}},
-{13320, 17, 64591, {1, 3, 3, 13, 19, 37, 93, 191, 101, 193, 351, 839, 7147, 5477, 29225, 45307, 1455}},
-{13321, 17, 64606, {1, 3, 1, 5, 11, 17, 95, 239, 105, 407, 395, 919, 3317, 14825, 23447, 4897, 128363}},
-{13322, 17, 64616, {1, 1, 1, 11, 27, 47, 83, 137, 163, 673, 1291, 3041, 4559, 7217, 23613, 19477, 93805}},
-{13323, 17, 64619, {1, 1, 1, 15, 25, 51, 37, 9, 23, 757, 1921, 2649, 5677, 11421, 10231, 1775, 124709}},
-{13324, 17, 64640, {1, 3, 1, 13, 31, 37, 37, 163, 59, 975, 1203, 1425, 1255, 3259, 16681, 38101, 118165}},
-{13325, 17, 64645, {1, 1, 3, 11, 17, 17, 31, 23, 169, 305, 3, 1631, 6853, 7019, 14539, 57663, 70377}},
-{13326, 17, 64649, {1, 1, 7, 3, 15, 61, 113, 31, 497, 935, 473, 819, 1223, 13907, 5075, 45177, 20255}},
-{13327, 17, 64652, {1, 3, 7, 13, 9, 41, 123, 121, 497, 877, 915, 3323, 4815, 4175, 25979, 38751, 107099}},
-{13328, 17, 64670, {1, 1, 3, 7, 13, 33, 31, 167, 331, 595, 517, 1237, 1947, 1905, 28155, 52431, 93065}},
-{13329, 17, 64673, {1, 3, 1, 1, 11, 51, 7, 151, 323, 211, 523, 2929, 233, 3633, 2785, 6043, 100101}},
-{13330, 17, 64674, {1, 1, 7, 13, 29, 3, 125, 247, 121, 567, 857, 3225, 7461, 15413, 773, 54939, 67443}},
-{13331, 17, 64683, {1, 1, 1, 15, 19, 29, 101, 179, 369, 115, 1777, 3223, 1499, 12487, 41, 50607, 111137}},
-{13332, 17, 64697, {1, 1, 3, 1, 9, 59, 21, 25, 173, 357, 1143, 1353, 3907, 10743, 30325, 39211, 116671}},
-{13333, 17, 64703, {1, 1, 7, 15, 9, 63, 67, 229, 7, 399, 2037, 3531, 6393, 4273, 9365, 52009, 118093}},
-{13334, 17, 64711, {1, 1, 7, 1, 31, 21, 5, 251, 433, 1, 481, 4041, 6179, 825, 8671, 20597, 103257}},
-{13335, 17, 64723, {1, 1, 7, 1, 15, 41, 69, 93, 47, 17, 1901, 2671, 4739, 1883, 30239, 50763, 108295}},
-{13336, 17, 64736, {1, 3, 7, 15, 29, 19, 63, 213, 475, 133, 43, 955, 2001, 555, 10479, 1333, 52807}},
-{13337, 17, 64739, {1, 3, 3, 15, 27, 13, 91, 109, 71, 333, 1971, 3355, 2175, 11457, 31101, 30217, 68263}},
-{13338, 17, 64741, {1, 1, 5, 1, 21, 33, 51, 169, 365, 475, 1015, 985, 7217, 15453, 7727, 49843, 57733}},
-{13339, 17, 64748, {1, 1, 7, 1, 11, 37, 67, 135, 429, 403, 1663, 2037, 7849, 3757, 6373, 38703, 46393}},
-{13340, 17, 64759, {1, 1, 1, 3, 15, 3, 29, 101, 327, 643, 47, 1805, 6873, 1659, 31097, 34847, 46843}},
-{13341, 17, 64768, {1, 3, 1, 15, 9, 45, 7, 189, 175, 955, 45, 3545, 3595, 7443, 2913, 54501, 63279}},
-{13342, 17, 64771, {1, 3, 7, 11, 1, 39, 59, 179, 209, 121, 445, 4077, 4851, 15161, 29133, 13543, 106247}},
-{13343, 17, 64778, {1, 3, 7, 7, 5, 53, 73, 107, 409, 639, 1731, 1921, 999, 14445, 17629, 3667, 74819}},
-{13344, 17, 64792, {1, 3, 3, 9, 23, 41, 117, 195, 497, 425, 627, 1599, 7715, 1401, 7217, 61113, 67135}},
-{13345, 17, 64821, {1, 1, 5, 13, 9, 33, 97, 115, 233, 833, 1041, 1755, 5317, 12703, 25709, 62293, 2569}},
-{13346, 17, 64831, {1, 1, 1, 11, 1, 7, 27, 151, 325, 905, 1279, 4093, 7495, 9803, 17339, 7977, 24009}},
-{13347, 17, 64839, {1, 3, 1, 11, 25, 59, 89, 175, 67, 139, 1507, 411, 7863, 9585, 14869, 46655, 126021}},
-{13348, 17, 64848, {1, 3, 3, 15, 29, 5, 111, 251, 69, 177, 519, 901, 4331, 5341, 22031, 3851, 114369}},
-{13349, 17, 64860, {1, 3, 5, 3, 19, 9, 83, 69, 411, 673, 1549, 3429, 3647, 12601, 17177, 16161, 114561}},
-{13350, 17, 64867, {1, 1, 5, 5, 21, 15, 65, 179, 405, 571, 1245, 3693, 7471, 12109, 20177, 28783, 124339}},
-{13351, 17, 64870, {1, 1, 5, 5, 9, 61, 69, 99, 9, 829, 1823, 3803, 1181, 3073, 10069, 28689, 21347}},
-{13352, 17, 64874, {1, 1, 5, 1, 3, 11, 25, 99, 241, 957, 1137, 7, 3809, 7073, 21217, 49447, 41425}},
-{13353, 17, 64879, {1, 3, 1, 9, 15, 59, 13, 29, 467, 893, 1667, 31, 3269, 12599, 28673, 17101, 81591}},
-{13354, 17, 64887, {1, 3, 7, 3, 15, 55, 79, 177, 1, 891, 217, 2725, 6171, 7779, 16173, 1003, 37093}},
-{13355, 17, 64894, {1, 3, 7, 11, 15, 61, 13, 181, 421, 83, 905, 1089, 4597, 3291, 23243, 53123, 21315}},
-{13356, 17, 64897, {1, 1, 3, 3, 21, 63, 113, 149, 203, 379, 583, 1955, 8087, 9155, 23019, 17757, 1537}},
-{13357, 17, 64898, {1, 3, 5, 9, 27, 41, 61, 207, 213, 253, 693, 273, 1835, 14135, 11519, 40819, 50999}},
-{13358, 17, 64921, {1, 3, 5, 3, 1, 51, 71, 237, 355, 327, 1903, 133, 6075, 4685, 29689, 48723, 67791}},
-{13359, 17, 64933, {1, 3, 5, 9, 21, 13, 101, 23, 95, 369, 1657, 989, 4081, 1373, 29005, 7247, 53923}},
-{13360, 17, 64940, {1, 1, 7, 13, 15, 3, 71, 189, 345, 771, 251, 937, 1041, 3017, 27279, 1635, 32581}},
-{13361, 17, 64957, {1, 1, 5, 7, 23, 63, 99, 43, 237, 189, 1549, 25, 63, 14089, 14387, 51423, 57193}},
-{13362, 17, 64969, {1, 1, 7, 15, 13, 55, 89, 87, 95, 241, 827, 501, 2341, 14357, 831, 27101, 98285}},
-{13363, 17, 64972, {1, 1, 1, 9, 29, 29, 125, 81, 73, 123, 329, 2617, 1259, 4415, 30007, 19467, 117847}},
-{13364, 17, 64978, {1, 3, 1, 11, 15, 63, 85, 121, 409, 885, 1197, 423, 2673, 12107, 1127, 14119, 90541}},
-{13365, 17, 64984, {1, 3, 1, 3, 1, 35, 117, 149, 213, 925, 923, 1013, 3547, 6877, 3467, 47893, 38645}},
-{13366, 17, 64993, {1, 1, 3, 15, 3, 21, 87, 199, 197, 851, 1711, 3449, 1771, 1727, 11651, 51903, 99835}},
-{13367, 17, 64999, {1, 3, 3, 1, 5, 27, 57, 243, 465, 173, 697, 4011, 6177, 3019, 31317, 24699, 53151}},
-{13368, 17, 65000, {1, 3, 5, 7, 7, 51, 61, 177, 489, 381, 493, 1975, 3143, 8003, 7735, 46363, 110705}},
-{13369, 17, 65006, {1, 1, 7, 5, 27, 45, 69, 33, 229, 725, 2033, 3655, 3027, 11795, 2941, 7921, 117605}},
-{13370, 17, 65011, {1, 3, 1, 7, 3, 37, 91, 255, 13, 651, 49, 309, 7425, 11641, 3661, 3929, 94199}},
-{13371, 17, 65014, {1, 3, 7, 5, 7, 47, 121, 203, 297, 941, 1585, 3659, 265, 159, 30729, 31825, 343}},
-{13372, 17, 65036, {1, 3, 5, 9, 3, 25, 95, 215, 125, 105, 37, 943, 4095, 8169, 26763, 20975, 122307}},
-{13373, 17, 65044, {1, 1, 3, 15, 9, 13, 81, 25, 51, 15, 599, 835, 6723, 9487, 25219, 60401, 48749}},
-{13374, 17, 65063, {1, 3, 3, 15, 15, 47, 41, 219, 77, 43, 1705, 2363, 7005, 7137, 17687, 665, 116097}},
-{13375, 17, 65067, {1, 3, 5, 1, 17, 33, 71, 3, 253, 355, 117, 1995, 3339, 11789, 13563, 58889, 18553}},
-{13376, 17, 65075, {1, 3, 5, 1, 21, 33, 89, 177, 9, 951, 1593, 1419, 3295, 9617, 31661, 7841, 119939}},
-{13377, 17, 65077, {1, 3, 3, 1, 31, 35, 25, 9, 379, 271, 923, 2387, 3351, 5869, 4501, 6855, 28273}},
-{13378, 17, 65082, {1, 1, 5, 9, 11, 15, 127, 79, 405, 579, 395, 2469, 5847, 7589, 17577, 61717, 6493}},
-{13379, 17, 65095, {1, 3, 7, 13, 29, 13, 99, 209, 79, 469, 5, 2231, 89, 1557, 5123, 47169, 46529}},
-{13380, 17, 65101, {1, 3, 7, 9, 13, 35, 119, 53, 7, 351, 601, 901, 5407, 13673, 6929, 38311, 2659}},
-{13381, 17, 65104, {1, 3, 7, 9, 13, 23, 61, 255, 113, 331, 367, 2979, 2741, 6971, 26447, 6861, 116267}},
-{13382, 17, 65109, {1, 1, 3, 3, 25, 57, 93, 5, 387, 87, 1765, 1277, 8175, 11185, 4377, 9779, 95569}},
-{13383, 17, 65110, {1, 1, 7, 11, 29, 43, 31, 155, 111, 409, 733, 1919, 2681, 8435, 5877, 35439, 15435}},
-{13384, 17, 65116, {1, 1, 1, 7, 19, 33, 109, 125, 51, 733, 997, 3467, 5081, 8371, 263, 31461, 46117}},
-{13385, 17, 65126, {1, 3, 3, 7, 27, 61, 57, 75, 317, 247, 1535, 3757, 4617, 15627, 11191, 3581, 64475}},
-{13386, 17, 65129, {1, 3, 3, 1, 31, 7, 95, 151, 159, 475, 559, 379, 361, 5953, 5551, 20313, 64015}},
-{13387, 17, 65138, {1, 1, 5, 1, 11, 31, 71, 77, 493, 697, 345, 1809, 611, 14319, 6591, 23657, 44071}},
-{13388, 17, 65160, {1, 1, 1, 13, 5, 1, 9, 233, 229, 397, 1201, 1817, 7409, 11521, 3753, 35611, 123037}},
-{13389, 17, 65171, {1, 3, 7, 15, 9, 15, 85, 163, 99, 867, 265, 1021, 129, 11059, 123, 27185, 68435}},
-{13390, 17, 65173, {1, 3, 1, 11, 25, 43, 105, 165, 291, 977, 463, 2699, 5361, 9951, 29735, 63501, 86235}},
-{13391, 17, 65180, {1, 3, 7, 13, 9, 33, 39, 145, 441, 233, 373, 193, 1451, 7975, 2871, 64431, 43339}},
-{13392, 17, 65189, {1, 1, 7, 13, 15, 25, 45, 27, 319, 719, 1801, 447, 3027, 769, 271, 37227, 26447}},
-{13393, 17, 65193, {1, 1, 5, 1, 29, 1, 59, 59, 121, 251, 387, 55, 5957, 10527, 24227, 38841, 29115}},
-{13394, 17, 65208, {1, 3, 1, 5, 31, 25, 67, 191, 137, 849, 631, 953, 3103, 9737, 28993, 49413, 60709}},
-{13395, 17, 65214, {1, 3, 3, 15, 7, 5, 37, 179, 357, 961, 1649, 441, 5287, 4161, 24013, 39661, 76233}},
-{13396, 17, 65216, {1, 1, 5, 1, 9, 1, 47, 209, 219, 1021, 969, 2343, 5675, 7137, 14247, 50305, 72613}},
-{13397, 17, 65225, {1, 1, 3, 1, 9, 43, 43, 47, 35, 97, 617, 1033, 2387, 14155, 17049, 53333, 108619}},
-{13398, 17, 65236, {1, 3, 1, 3, 1, 45, 11, 171, 349, 65, 909, 1801, 1075, 10905, 7395, 19997, 128205}},
-{13399, 17, 65239, {1, 1, 7, 11, 19, 39, 117, 175, 459, 791, 1383, 3473, 6937, 8447, 10077, 13353, 122063}},
-{13400, 17, 65273, {1, 3, 3, 9, 3, 27, 115, 29, 135, 305, 1023, 2517, 1981, 4969, 18149, 35565, 120785}},
-{13401, 17, 65274, {1, 3, 3, 11, 15, 23, 27, 115, 411, 805, 841, 2205, 5997, 5141, 10679, 25235, 81989}},
-{13402, 17, 65281, {1, 1, 3, 9, 11, 63, 27, 185, 337, 891, 1447, 1397, 8009, 4453, 23077, 37599, 93389}},
-{13403, 17, 65294, {1, 1, 5, 13, 27, 11, 77, 11, 447, 81, 1603, 2317, 6499, 6631, 27305, 51049, 40967}},
-{13404, 17, 65324, {1, 3, 7, 1, 7, 43, 83, 33, 69, 119, 139, 1391, 4879, 3759, 31211, 29203, 110229}},
-{13405, 17, 65335, {1, 3, 7, 15, 31, 59, 53, 97, 135, 233, 1421, 587, 2985, 3627, 7355, 53829, 51581}},
-{13406, 17, 65354, {1, 3, 7, 15, 1, 37, 39, 225, 147, 37, 327, 2819, 6081, 4337, 22063, 21177, 91065}},
-{13407, 17, 65359, {1, 1, 3, 1, 13, 31, 61, 133, 433, 243, 131, 3625, 6389, 335, 24029, 33217, 80833}},
-{13408, 17, 65373, {1, 1, 7, 11, 21, 39, 95, 181, 35, 499, 677, 3935, 1379, 6791, 12633, 13671, 28317}},
-{13409, 17, 65383, {1, 3, 1, 5, 7, 57, 5, 229, 389, 197, 1523, 1221, 609, 10449, 6389, 9279, 53871}},
-{13410, 17, 65387, {1, 3, 5, 7, 1, 39, 69, 131, 387, 839, 1375, 3841, 81, 7395, 5837, 32067, 51183}},
-{13411, 17, 65397, {1, 1, 5, 3, 5, 27, 107, 171, 53, 923, 345, 445, 1101, 11201, 20563, 30889, 72361}},
-{13412, 17, 65411, {1, 3, 7, 11, 19, 7, 99, 219, 485, 403, 293, 3967, 7517, 4765, 11331, 55, 92641}},
-{13413, 17, 65413, {1, 1, 7, 13, 19, 9, 73, 31, 405, 513, 941, 3645, 7075, 8109, 21431, 52791, 120927}},
-{13414, 17, 65418, {1, 1, 1, 15, 29, 33, 75, 65, 479, 47, 35, 4023, 4853, 2793, 29895, 2711, 83779}},
-{13415, 17, 65441, {1, 1, 3, 15, 11, 1, 9, 149, 503, 845, 647, 1233, 4355, 3623, 3197, 36015, 24839}},
-{13416, 17, 65444, {1, 1, 7, 1, 31, 35, 59, 25, 393, 503, 227, 3243, 301, 11121, 32463, 38185, 69969}},
-{13417, 17, 65447, {1, 1, 1, 7, 9, 15, 11, 89, 19, 605, 1657, 3335, 1967, 29, 28619, 42301, 79909}},
-{13418, 17, 65448, {1, 3, 7, 7, 19, 29, 111, 55, 299, 733, 547, 395, 4831, 1991, 7357, 25781, 115129}},
-{13419, 17, 65473, {1, 1, 3, 7, 5, 33, 31, 101, 163, 389, 1163, 1843, 4105, 14209, 29261, 5821, 17929}},
-{13420, 17, 65476, {1, 3, 5, 1, 11, 23, 53, 227, 497, 695, 313, 3305, 6549, 15401, 9339, 40283, 60531}},
-{13421, 17, 65480, {1, 3, 5, 5, 3, 29, 77, 149, 509, 747, 85, 2561, 4435, 14475, 22887, 38177, 24535}},
-{13422, 17, 65494, {1, 1, 7, 1, 1, 33, 7, 77, 153, 369, 689, 3325, 1173, 16203, 1499, 36627, 66915}},
-{13423, 17, 65509, {1, 1, 5, 11, 23, 61, 95, 61, 289, 71, 653, 2817, 365, 7391, 1613, 48901, 57471}},
-{13424, 17, 65519, {1, 3, 3, 7, 15, 29, 65, 133, 15, 921, 1601, 1941, 6917, 10945, 20101, 59809, 9017}},
-{13425, 17, 65527, {1, 3, 3, 15, 7, 51, 95, 53, 87, 1017, 1039, 3405, 1967, 9855, 4905, 4651, 83487}},
-{13426, 18, 19, {1, 3, 5, 13, 23, 27, 31, 179, 121, 597, 829, 4003, 2487, 3977, 3087, 26791, 28305, 138357}},
-{13427, 18, 31, {1, 1, 5, 5, 5, 39, 95, 117, 461, 117, 109, 2571, 7651, 12361, 17921, 555, 33353, 186427}},
-{13428, 18, 38, {1, 1, 3, 13, 23, 47, 89, 125, 271, 609, 215, 3861, 6883, 3217, 2547, 54943, 60565, 215939}},
-{13429, 18, 61, {1, 1, 7, 15, 25, 61, 47, 93, 219, 919, 1551, 1417, 2753, 4353, 9201, 46423, 31227, 150649}},
-{13430, 18, 64, {1, 1, 1, 3, 29, 39, 11, 61, 137, 809, 147, 2715, 5455, 9431, 5725, 46135, 118193, 54099}},
-{13431, 18, 109, {1, 1, 3, 1, 25, 37, 83, 211, 423, 779, 1731, 2827, 883, 10477, 28771, 21723, 114333, 56293}},
-{13432, 18, 115, {1, 1, 5, 5, 27, 17, 21, 125, 495, 655, 1803, 3555, 1997, 15593, 29705, 48537, 53935, 179773}},
-{13433, 18, 118, {1, 1, 7, 5, 19, 63, 55, 15, 469, 769, 967, 3047, 1713, 11655, 15313, 29965, 78857, 223391}},
-{13434, 18, 131, {1, 3, 3, 5, 27, 33, 51, 171, 417, 243, 1203, 3505, 2533, 2695, 219, 57423, 5145, 143165}},
-{13435, 18, 167, {1, 3, 5, 9, 5, 19, 95, 97, 1, 863, 693, 2977, 4839, 6649, 22587, 40745, 113839, 69131}},
-{13436, 18, 200, {1, 3, 5, 1, 31, 39, 53, 85, 509, 5, 359, 1947, 3279, 5433, 21763, 46713, 37289, 35911}},
-{13437, 18, 241, {1, 3, 7, 13, 17, 35, 59, 63, 95, 667, 1775, 2165, 7861, 15731, 12159, 36179, 115457, 184819}},
-{13438, 18, 244, {1, 3, 3, 15, 19, 51, 7, 83, 367, 573, 503, 535, 333, 13041, 7187, 14479, 57473, 242951}},
-{13439, 18, 247, {1, 3, 5, 1, 7, 27, 65, 201, 365, 445, 985, 1175, 6391, 7345, 19935, 29085, 103001, 231855}},
-{13440, 18, 261, {1, 3, 5, 13, 15, 61, 95, 125, 135, 217, 1787, 417, 7641, 11825, 14531, 48497, 125087, 73279}},
-{13441, 18, 265, {1, 1, 5, 13, 7, 25, 77, 99, 341, 447, 1711, 137, 2749, 3465, 26255, 719, 102595, 112825}},
-{13442, 18, 304, {1, 1, 7, 7, 15, 13, 127, 57, 359, 591, 713, 409, 1293, 4979, 7035, 11369, 85255, 207241}},
-{13443, 18, 314, {1, 3, 3, 5, 1, 45, 123, 183, 297, 375, 1269, 1197, 2389, 6269, 24549, 44643, 75893, 161509}},
-{13444, 18, 341, {1, 1, 5, 7, 17, 55, 67, 51, 449, 383, 2037, 871, 1359, 15317, 22055, 4655, 18065, 258271}},
-{13445, 18, 376, {1, 1, 3, 11, 21, 27, 59, 205, 145, 195, 1747, 1121, 1061, 8879, 31455, 56541, 74765, 183047}},
-{13446, 18, 395, {1, 1, 5, 15, 1, 11, 69, 157, 13, 185, 1355, 467, 4383, 13103, 21679, 35169, 33427, 32113}},
-{13447, 18, 405, {1, 3, 1, 3, 29, 41, 15, 209, 313, 61, 1749, 2457, 1897, 15595, 24441, 39913, 40499, 5179}},
-{13448, 18, 406, {1, 3, 7, 15, 25, 41, 87, 125, 239, 73, 207, 2043, 1133, 12845, 8533, 16339, 117913, 118677}},
-{13449, 18, 443, {1, 1, 3, 15, 25, 9, 15, 97, 395, 99, 2017, 1003, 847, 2535, 11753, 54769, 54011, 73541}},
-{13450, 18, 451, {1, 1, 7, 15, 11, 61, 13, 49, 319, 871, 893, 165, 3957, 8683, 31197, 39491, 58705, 213411}},
-{13451, 18, 458, {1, 3, 7, 3, 17, 43, 29, 81, 461, 595, 541, 243, 5587, 13083, 29981, 16187, 124601, 89543}},
-{13452, 18, 460, {1, 1, 5, 11, 7, 5, 61, 43, 445, 115, 1705, 419, 4627, 15063, 16053, 26249, 112243, 208711}},
-{13453, 18, 468, {1, 3, 3, 9, 27, 21, 89, 49, 41, 859, 681, 2043, 7445, 9591, 13443, 36981, 66785, 227899}},
-{13454, 18, 472, {1, 1, 3, 5, 11, 55, 51, 45, 41, 739, 1199, 191, 4563, 4035, 3657, 12189, 52879, 33961}},
-{13455, 18, 482, {1, 1, 1, 3, 17, 59, 47, 217, 389, 783, 1501, 517, 6311, 7903, 1371, 50617, 41723, 116473}},
-{13456, 18, 491, {1, 1, 5, 13, 29, 39, 101, 203, 101, 479, 1337, 2647, 6447, 563, 2593, 16533, 122535, 25587}},
-{13457, 18, 496, {1, 1, 3, 3, 27, 21, 75, 173, 289, 279, 665, 3177, 559, 8539, 10903, 16779, 128219, 125907}},
-{13458, 18, 524, {1, 1, 1, 11, 27, 1, 61, 247, 113, 585, 331, 3443, 5939, 5213, 27289, 57057, 17349, 62359}},
-{13459, 18, 536, {1, 3, 5, 15, 21, 41, 67, 47, 121, 11, 545, 3609, 7745, 3669, 9045, 8377, 97655, 99631}},
-{13460, 18, 542, {1, 3, 5, 9, 11, 15, 111, 61, 67, 775, 579, 3421, 7827, 13607, 32373, 43531, 86149, 238827}},
-{13461, 18, 557, {1, 1, 1, 1, 9, 45, 79, 153, 331, 399, 1777, 3515, 3363, 3499, 13461, 48651, 21731, 220611}},
-{13462, 18, 572, {1, 1, 1, 1, 31, 57, 117, 223, 139, 725, 1115, 3203, 8185, 11983, 20245, 55913, 36803, 68101}},
-{13463, 18, 580, {1, 1, 1, 3, 31, 57, 53, 79, 225, 307, 1645, 3311, 643, 6587, 12037, 12453, 83461, 195503}},
-{13464, 18, 592, {1, 3, 1, 7, 23, 25, 65, 233, 273, 97, 37, 1563, 3635, 9299, 24367, 42761, 55, 128675}},
-{13465, 18, 656, {1, 3, 3, 11, 29, 21, 97, 143, 447, 345, 389, 381, 1403, 685, 309, 11103, 69769, 194441}},
-{13466, 18, 713, {1, 3, 3, 11, 23, 55, 119, 71, 23, 291, 1241, 1723, 5025, 4499, 26617, 22875, 62185, 240321}},
-{13467, 18, 719, {1, 1, 7, 11, 19, 63, 31, 131, 393, 99, 1061, 3805, 7477, 15357, 8269, 26067, 113349, 239333}},
-{13468, 18, 738, {1, 3, 5, 1, 5, 37, 77, 83, 37, 759, 1297, 3067, 5369, 5977, 7531, 49079, 94503, 192765}},
-{13469, 18, 749, {1, 1, 7, 1, 23, 9, 119, 137, 469, 73, 2001, 2629, 2681, 2295, 2055, 44027, 47627, 45283}},
-{13470, 18, 752, {1, 3, 1, 7, 31, 17, 61, 137, 241, 325, 1417, 2383, 4171, 2495, 215, 59593, 98495, 74727}},
-{13471, 18, 767, {1, 1, 7, 13, 7, 5, 59, 189, 131, 865, 1963, 1811, 5629, 16189, 16397, 58069, 72081, 191457}},
-{13472, 18, 772, {1, 1, 7, 15, 23, 33, 93, 247, 395, 643, 693, 3587, 4375, 5519, 9449, 37515, 11455, 218337}},
-{13473, 18, 782, {1, 1, 3, 1, 27, 63, 113, 91, 477, 55, 1461, 1547, 4743, 699, 21639, 1815, 169, 34239}},
-{13474, 18, 789, {1, 1, 5, 15, 29, 37, 19, 19, 247, 771, 695, 319, 1779, 10553, 16165, 60507, 87161, 86967}},
-{13475, 18, 830, {1, 1, 7, 1, 25, 61, 13, 167, 251, 861, 1717, 1533, 7323, 3945, 20879, 37759, 129689, 35901}},
-{13476, 18, 838, {1, 3, 3, 7, 7, 61, 11, 25, 187, 949, 1393, 1743, 745, 16313, 5293, 16921, 17619, 237705}},
-{13477, 18, 916, {1, 3, 5, 11, 7, 27, 11, 107, 299, 711, 149, 1581, 7747, 14285, 6411, 52209, 79043, 61117}},
-{13478, 18, 920, {1, 1, 5, 1, 17, 19, 91, 185, 53, 699, 1185, 4007, 1099, 1965, 20239, 19547, 120859, 234149}},
-{13479, 18, 936, {1, 1, 5, 5, 13, 61, 117, 187, 149, 957, 837, 3549, 6221, 501, 24755, 47975, 67007, 12329}},
-{13480, 18, 991, {1, 1, 3, 15, 21, 41, 55, 81, 397, 403, 1699, 1057, 6125, 11987, 3103, 43361, 21277, 156577}},
-{13481, 18, 998, {1, 1, 5, 11, 5, 27, 5, 177, 387, 859, 809, 3919, 4085, 1535, 6009, 13265, 3065, 217945}},
-{13482, 18, 1016, {1, 3, 1, 13, 15, 57, 107, 81, 437, 305, 879, 1691, 3685, 11415, 3749, 46999, 113933, 10515}},
-{13483, 18, 1024, {1, 1, 7, 13, 9, 43, 59, 223, 189, 329, 829, 2033, 1835, 8255, 8121, 46463, 61433, 86453}},
-{13484, 18, 1053, {1, 3, 1, 9, 11, 49, 63, 125, 11, 987, 2017, 2623, 4753, 13889, 57, 24755, 108489, 175383}},
-{13485, 18, 1081, {1, 1, 1, 3, 25, 33, 39, 151, 405, 657, 1755, 957, 5557, 7611, 25839, 51385, 92713, 64009}},
-{13486, 18, 1090, {1, 3, 7, 9, 17, 17, 115, 89, 225, 715, 1085, 543, 1047, 15053, 14359, 43301, 31455, 156555}},
-{13487, 18, 1125, {1, 1, 7, 11, 11, 21, 115, 5, 371, 1003, 1053, 1713, 5921, 7277, 799, 62483, 28079, 222319}},
-{13488, 18, 1135, {1, 1, 3, 3, 31, 15, 127, 213, 459, 229, 1477, 1863, 1021, 14881, 16299, 5953, 121455, 49659}},
-{13489, 18, 1143, {1, 1, 5, 9, 3, 39, 87, 219, 57, 479, 69, 2777, 8105, 11975, 14743, 26205, 93303, 45311}},
-{13490, 18, 1150, {1, 1, 5, 13, 3, 43, 55, 139, 19, 715, 2035, 2993, 2945, 9075, 6275, 32233, 103127, 49523}},
-{13491, 18, 1154, {1, 3, 1, 13, 19, 31, 109, 211, 261, 231, 697, 383, 2173, 14617, 11877, 37009, 5485, 236549}},
-{13492, 18, 1171, {1, 1, 5, 3, 5, 23, 91, 115, 369, 11, 1021, 519, 655, 4461, 23743, 56981, 51687, 114845}},
-{13493, 18, 1174, {1, 3, 7, 9, 29, 23, 19, 127, 17, 369, 1537, 2705, 4993, 1869, 15447, 28127, 73609, 97683}},
-{13494, 18, 1202, {1, 1, 3, 9, 17, 61, 97, 187, 213, 861, 725, 3205, 103, 12729, 2915, 28389, 83123, 124065}},
-{13495, 18, 1213, {1, 3, 1, 1, 5, 61, 47, 187, 471, 137, 1595, 707, 2449, 14315, 16409, 41467, 37533, 1649}},
-{13496, 18, 1225, {1, 3, 5, 5, 7, 39, 1, 245, 361, 43, 1259, 3149, 3449, 15723, 6225, 27445, 80529, 215349}},
-{13497, 18, 1233, {1, 3, 3, 11, 17, 27, 37, 47, 157, 345, 1437, 3219, 5663, 7299, 23925, 34067, 102379, 42767}},
-{13498, 18, 1234, {1, 3, 5, 13, 21, 59, 43, 189, 17, 303, 1949, 3627, 3495, 7981, 18115, 34221, 43511, 255257}},
-{13499, 18, 1252, {1, 3, 7, 15, 3, 29, 81, 243, 321, 853, 595, 2451, 1713, 11859, 27689, 12849, 24505, 9547}},
-{13500, 18, 1255, {1, 3, 1, 3, 7, 7, 89, 183, 51, 901, 253, 2421, 7453, 15827, 21451, 58653, 51933, 239113}},
-{13501, 18, 1294, {1, 1, 7, 3, 21, 59, 93, 25, 219, 805, 1699, 3777, 3683, 5351, 5481, 44797, 651, 32161}},
-{13502, 18, 1349, {1, 3, 7, 5, 31, 15, 15, 167, 305, 545, 331, 3765, 8191, 5763, 16965, 7239, 73735, 1049}},
-{13503, 18, 1354, {1, 3, 1, 15, 13, 19, 59, 107, 213, 39, 1547, 3413, 6175, 16195, 4635, 8945, 60301, 196697}},
-{13504, 18, 1378, {1, 1, 3, 1, 29, 17, 51, 61, 261, 951, 643, 2329, 2235, 9171, 11265, 3523, 89781, 227125}},
-{13505, 18, 1383, {1, 3, 5, 1, 1, 51, 75, 199, 479, 899, 1425, 3697, 2039, 4503, 11789, 16853, 94607, 236887}},
-{13506, 18, 1387, {1, 3, 1, 9, 19, 43, 111, 41, 385, 677, 1067, 3391, 7819, 13663, 17713, 10155, 124243, 56005}},
-{13507, 18, 1392, {1, 3, 5, 3, 15, 3, 105, 23, 307, 955, 843, 1277, 6697, 11903, 8901, 36129, 51685, 251115}},
-{13508, 18, 1402, {1, 3, 1, 5, 27, 35, 95, 57, 207, 49, 1559, 171, 4703, 511, 4169, 23241, 111447, 173109}},
-{13509, 18, 1420, {1, 3, 1, 13, 23, 5, 31, 15, 223, 673, 1333, 2243, 2479, 7489, 31891, 33909, 96803, 227027}},
-{13510, 18, 1428, {1, 3, 5, 11, 5, 45, 19, 13, 367, 475, 1719, 3947, 5295, 2319, 20697, 181, 16925, 80239}},
-{13511, 18, 1437, {1, 1, 5, 13, 15, 47, 89, 15, 153, 73, 523, 3529, 5401, 15881, 13779, 32123, 82347, 58749}},
-{13512, 18, 1448, {1, 3, 5, 7, 5, 7, 123, 217, 261, 65, 685, 2175, 3289, 7473, 17857, 48335, 94183, 216857}},
-{13513, 18, 1459, {1, 3, 7, 13, 7, 23, 85, 25, 231, 19, 1179, 2705, 6433, 10827, 1969, 51521, 76775, 260291}},
-{13514, 18, 1473, {1, 3, 3, 13, 9, 39, 5, 141, 475, 777, 1809, 1975, 2347, 12611, 28303, 15239, 45429, 170015}},
-{13515, 18, 1507, {1, 1, 7, 7, 31, 31, 39, 19, 317, 897, 739, 275, 2261, 16013, 1123, 33181, 96603, 37563}},
-{13516, 18, 1516, {1, 1, 7, 13, 31, 55, 87, 239, 193, 435, 625, 2153, 3979, 15537, 19937, 50621, 48273, 31381}},
-{13517, 18, 1528, {1, 1, 1, 15, 1, 57, 73, 237, 361, 749, 379, 2511, 501, 10783, 2787, 36983, 12393, 14345}},
-{13518, 18, 1573, {1, 1, 1, 3, 25, 33, 85, 25, 83, 939, 139, 2601, 6385, 16041, 28463, 38977, 28163, 232165}},
-{13519, 18, 1592, {1, 3, 5, 3, 9, 19, 119, 171, 499, 19, 569, 353, 1619, 6235, 24431, 47401, 48125, 168819}},
-{13520, 18, 1597, {1, 1, 1, 3, 9, 27, 121, 137, 411, 391, 1437, 1339, 7475, 3889, 15451, 34809, 69807, 162851}},
-{13521, 18, 1654, {1, 3, 5, 11, 31, 39, 41, 3, 171, 35, 81, 2713, 1077, 10697, 12343, 52133, 52825, 152255}},
-{13522, 18, 1663, {1, 1, 3, 11, 17, 51, 83, 19, 357, 207, 897, 2167, 1333, 4111, 29295, 65371, 73447, 61765}},
-{13523, 18, 1730, {1, 1, 3, 7, 9, 59, 17, 135, 365, 931, 1203, 277, 5531, 4213, 12969, 2617, 591, 154539}},
-{13524, 18, 1739, {1, 3, 7, 11, 1, 53, 31, 49, 135, 603, 227, 911, 7371, 8559, 27195, 33065, 71351, 245255}},
-{13525, 18, 1741, {1, 1, 7, 1, 15, 5, 31, 135, 197, 791, 1531, 2567, 2545, 15515, 25417, 27431, 15571, 176829}},
-{13526, 18, 1753, {1, 3, 1, 1, 15, 7, 89, 217, 505, 859, 1329, 2285, 7921, 11839, 7699, 56867, 112483, 3895}},
-{13527, 18, 1783, {1, 3, 1, 3, 27, 57, 37, 117, 491, 815, 275, 381, 7443, 3297, 1523, 34211, 97589, 232261}},
-{13528, 18, 1804, {1, 1, 3, 3, 29, 63, 69, 153, 297, 423, 1435, 3927, 7265, 13223, 17607, 21201, 57929, 73037}},
-{13529, 18, 1807, {1, 3, 1, 3, 23, 41, 1, 167, 121, 217, 973, 2149, 3807, 9895, 29635, 1625, 99829, 218541}},
-{13530, 18, 1832, {1, 3, 5, 7, 31, 33, 53, 165, 51, 119, 7, 1655, 6521, 5481, 9503, 6833, 80483, 252111}},
-{13531, 18, 1850, {1, 1, 7, 1, 5, 63, 25, 219, 165, 893, 1665, 2789, 1113, 9277, 3151, 12625, 82403, 59749}},
-{13532, 18, 1852, {1, 3, 7, 3, 21, 13, 127, 127, 145, 993, 715, 1947, 7501, 4385, 11759, 2179, 26039, 28027}},
-{13533, 18, 1881, {1, 3, 5, 9, 23, 27, 123, 1, 231, 709, 1615, 1433, 5991, 1045, 16269, 123, 110249, 154819}},
-{13534, 18, 1894, {1, 1, 1, 5, 17, 11, 123, 151, 387, 905, 991, 1571, 4463, 6765, 31905, 59307, 75175, 204571}},
-{13535, 18, 1927, {1, 3, 1, 11, 27, 49, 1, 181, 77, 1023, 807, 3479, 7965, 4633, 17495, 5991, 77081, 249343}},
-{13536, 18, 1952, {1, 3, 1, 1, 13, 53, 105, 79, 269, 173, 1319, 1695, 1215, 3651, 25063, 34949, 77243, 214671}},
-{13537, 18, 1969, {1, 1, 1, 1, 3, 19, 103, 233, 1, 507, 721, 1797, 5025, 405, 13027, 23693, 89963, 25771}},
-{13538, 18, 1999, {1, 3, 5, 9, 21, 53, 1, 241, 405, 707, 1807, 3615, 1199, 11155, 27741, 53931, 55091, 248677}},
-{13539, 18, 2018, {1, 3, 5, 7, 27, 27, 39, 77, 475, 845, 1393, 3779, 5261, 13017, 13517, 18595, 64485, 180577}},
-{13540, 18, 2047, {1, 1, 3, 5, 7, 21, 95, 59, 203, 233, 1167, 3457, 3965, 4321, 14885, 6335, 78353, 39341}},
-{13541, 18, 2066, {1, 1, 7, 13, 27, 19, 27, 133, 419, 507, 945, 3595, 131, 7981, 31451, 62347, 19151, 256127}},
-{13542, 18, 2068, {1, 3, 7, 3, 7, 15, 9, 173, 257, 983, 223, 2881, 6911, 3681, 26183, 38943, 112171, 148627}},
-{13543, 18, 2093, {1, 3, 3, 15, 5, 49, 91, 205, 303, 183, 775, 3841, 4943, 14417, 23013, 59337, 85835, 181771}},
-{13544, 18, 2105, {1, 3, 5, 9, 21, 1, 117, 27, 509, 263, 1215, 893, 6677, 3275, 20831, 5045, 127323, 62589}},
-{13545, 18, 2116, {1, 1, 1, 3, 17, 61, 77, 239, 379, 649, 1151, 2359, 2659, 13853, 30589, 55873, 50359, 184125}},
-{13546, 18, 2149, {1, 1, 7, 5, 17, 33, 95, 111, 245, 873, 1721, 3079, 7753, 12889, 27107, 8267, 119413, 249045}},
-{13547, 18, 2201, {1, 1, 1, 15, 13, 23, 59, 169, 449, 283, 913, 2099, 5337, 4307, 3701, 16395, 112987, 14183}},
-{13548, 18, 2228, {1, 1, 5, 3, 5, 15, 3, 249, 97, 849, 1551, 3437, 1247, 10915, 24073, 53723, 40345, 37215}},
-{13549, 18, 2245, {1, 1, 1, 5, 21, 59, 109, 79, 9, 827, 1329, 405, 3821, 8415, 11239, 1003, 78967, 112627}},
-{13550, 18, 2246, {1, 1, 1, 11, 21, 7, 21, 45, 327, 365, 865, 1409, 1273, 15675, 21425, 45367, 22279, 240943}},
-{13551, 18, 2283, {1, 3, 3, 7, 3, 19, 83, 163, 381, 547, 195, 1537, 7905, 9057, 1309, 41135, 118857, 101725}},
-{13552, 18, 2288, {1, 1, 5, 9, 11, 19, 107, 247, 309, 343, 1697, 699, 7137, 12815, 18405, 42673, 505, 104801}},
-{13553, 18, 2320, {1, 3, 5, 3, 13, 43, 55, 15, 441, 843, 1153, 3739, 67, 11053, 30985, 55329, 57301, 190991}},
-{13554, 18, 2326, {1, 1, 5, 3, 23, 41, 9, 239, 227, 145, 1895, 2645, 945, 6421, 2859, 16173, 97043, 234649}},
-{13555, 18, 2386, {1, 3, 1, 3, 23, 47, 57, 207, 441, 279, 1951, 3041, 2465, 6143, 27669, 41171, 89627, 2489}},
-{13556, 18, 2392, {1, 3, 1, 11, 7, 9, 19, 51, 345, 187, 1699, 1483, 15, 10321, 25277, 34889, 85225, 259071}},
-{13557, 18, 2395, {1, 1, 1, 15, 27, 15, 79, 51, 407, 757, 611, 3955, 1123, 14659, 11273, 56639, 64727, 183077}},
-{13558, 18, 2413, {1, 3, 7, 1, 13, 61, 89, 157, 29, 561, 791, 995, 4233, 11351, 16335, 47041, 108671, 120115}},
-{13559, 18, 2419, {1, 3, 3, 15, 17, 35, 15, 223, 57, 7, 961, 3327, 7287, 5537, 26231, 3289, 106555, 109781}},
-{13560, 18, 2441, {1, 3, 7, 15, 17, 3, 25, 121, 349, 995, 1353, 2991, 3071, 3583, 26173, 42343, 60495, 44035}},
-{13561, 18, 2466, {1, 3, 1, 11, 5, 5, 83, 249, 427, 173, 1733, 45, 3277, 7911, 18091, 61305, 130251, 31849}},
-{13562, 18, 2477, {1, 1, 1, 9, 3, 23, 23, 127, 371, 1011, 573, 1769, 1707, 15351, 30077, 61139, 122963, 203481}},
-{13563, 18, 2485, {1, 1, 1, 13, 27, 41, 97, 29, 461, 207, 1393, 707, 5633, 7155, 13455, 7305, 107539, 136413}},
-{13564, 18, 2492, {1, 1, 1, 9, 3, 13, 61, 115, 297, 333, 1679, 127, 8049, 3129, 31845, 40039, 77087, 6831}},
-{13565, 18, 2495, {1, 3, 3, 11, 27, 25, 49, 29, 423, 193, 1955, 2927, 5679, 3537, 16911, 47065, 126803, 129957}},
-{13566, 18, 2498, {1, 1, 1, 3, 21, 31, 25, 187, 301, 883, 1301, 415, 1515, 14761, 227, 24377, 54415, 64553}},
-{13567, 18, 2504, {1, 3, 7, 7, 3, 5, 69, 221, 357, 587, 1387, 3719, 5355, 10569, 14731, 22515, 107237, 1673}},
-{13568, 18, 2515, {1, 1, 3, 15, 27, 7, 89, 23, 213, 655, 779, 1641, 1793, 1499, 27279, 59423, 56715, 90313}},
-{13569, 18, 2521, {1, 3, 3, 7, 3, 33, 85, 181, 509, 327, 353, 1625, 4995, 15627, 17071, 31885, 122423, 100337}},
-{13570, 18, 2561, {1, 3, 5, 9, 7, 39, 45, 157, 279, 211, 1163, 3283, 4419, 10187, 22397, 42119, 25105, 163925}},
-{13571, 18, 2579, {1, 3, 3, 15, 17, 37, 75, 65, 501, 765, 1171, 2451, 309, 551, 15573, 65497, 106435, 20817}},
-{13572, 18, 2604, {1, 1, 3, 1, 13, 1, 79, 117, 5, 285, 953, 2401, 2479, 15765, 25677, 63611, 91807, 78153}},
-{13573, 18, 2657, {1, 1, 5, 15, 1, 7, 123, 159, 217, 307, 1779, 2625, 101, 13887, 31721, 55769, 94899, 183427}},
-{13574, 18, 2681, {1, 3, 5, 5, 11, 13, 59, 205, 221, 871, 753, 823, 547, 11055, 31621, 54379, 23631, 137027}},
-{13575, 18, 2691, {1, 3, 3, 7, 5, 17, 7, 31, 37, 237, 1633, 969, 4123, 6643, 28499, 3277, 130223, 37465}},
-{13576, 18, 2731, {1, 3, 7, 5, 29, 41, 65, 159, 487, 61, 1217, 4093, 487, 15257, 13379, 46641, 88043, 107425}},
-{13577, 18, 2739, {1, 1, 7, 7, 19, 29, 87, 119, 13, 877, 467, 2661, 7733, 9303, 20069, 8445, 126159, 69421}},
-{13578, 18, 2765, {1, 3, 1, 13, 1, 57, 77, 241, 185, 479, 859, 2397, 1167, 6545, 20715, 50701, 107781, 149965}},
-{13579, 18, 2790, {1, 1, 5, 1, 1, 3, 19, 31, 473, 685, 1455, 1537, 1843, 4051, 17475, 56717, 70257, 112815}},
-{13580, 18, 2802, {1, 3, 7, 15, 9, 21, 19, 201, 13, 551, 1053, 1291, 3793, 7923, 30425, 55513, 30033, 70597}},
-{13581, 18, 2819, {1, 3, 1, 15, 21, 47, 127, 117, 199, 655, 1979, 1291, 8017, 11769, 9071, 12029, 112369, 2529}},
-{13582, 18, 2891, {1, 3, 5, 1, 15, 3, 25, 199, 101, 997, 597, 2485, 6509, 11913, 19573, 13985, 56165, 249}},
-{13583, 18, 2905, {1, 1, 7, 3, 19, 45, 107, 229, 241, 747, 1219, 3133, 3675, 4441, 13933, 64571, 95445, 250713}},
-{13584, 18, 2911, {1, 3, 1, 5, 11, 31, 89, 119, 503, 99, 75, 349, 7479, 15161, 6365, 62461, 39443, 188455}},
-{13585, 18, 2912, {1, 1, 5, 13, 25, 31, 65, 237, 259, 329, 89, 1283, 6033, 4401, 7655, 38837, 62367, 76555}},
-{13586, 18, 2921, {1, 1, 1, 7, 19, 61, 109, 41, 361, 89, 171, 2319, 3625, 8905, 24461, 36135, 28515, 101547}},
-{13587, 18, 2924, {1, 3, 5, 3, 5, 45, 123, 227, 339, 79, 309, 2619, 1621, 1295, 6395, 6717, 119933, 187231}},
-{13588, 18, 2945, {1, 1, 1, 3, 3, 45, 91, 225, 269, 475, 1159, 2599, 5087, 4141, 28375, 22413, 56235, 256559}},
-{13589, 18, 2952, {1, 1, 1, 13, 7, 51, 27, 65, 65, 381, 169, 1759, 4653, 9885, 25839, 19851, 4965, 249097}},
-{13590, 18, 2972, {1, 3, 7, 11, 25, 11, 83, 137, 419, 277, 503, 2823, 2759, 8173, 9405, 23731, 116087, 9735}},
-{13591, 18, 2986, {1, 1, 5, 5, 27, 17, 123, 145, 41, 85, 1099, 1087, 1465, 7063, 8585, 39427, 15479, 243967}},
-{13592, 18, 3000, {1, 1, 7, 3, 21, 53, 105, 185, 101, 763, 593, 2649, 3273, 5655, 12233, 11761, 27093, 121347}},
-{13593, 18, 3008, {1, 1, 1, 5, 11, 55, 107, 167, 179, 681, 741, 1821, 4297, 14677, 9949, 9647, 60465, 36999}},
-{13594, 18, 3011, {1, 1, 1, 7, 25, 43, 95, 71, 161, 517, 1475, 1989, 6273, 13295, 19681, 51773, 93523, 33441}},
-{13595, 18, 3018, {1, 3, 1, 13, 23, 59, 95, 177, 73, 707, 37, 421, 3747, 14207, 17159, 4957, 20161, 26185}},
-{13596, 18, 3047, {1, 1, 7, 13, 13, 1, 19, 153, 445, 429, 1911, 3515, 639, 16015, 833, 54347, 87717, 82175}},
-{13597, 18, 3071, {1, 3, 5, 9, 1, 9, 115, 87, 341, 651, 1583, 807, 559, 13579, 9647, 37277, 125555, 169655}},
-{13598, 18, 3079, {1, 1, 3, 5, 13, 23, 117, 229, 205, 803, 1381, 2773, 7099, 4031, 597, 37135, 11643, 92325}},
-{13599, 18, 3083, {1, 3, 7, 9, 27, 15, 33, 147, 1, 799, 1511, 2609, 1419, 5991, 15571, 56995, 97695, 223969}},
-{13600, 18, 3086, {1, 3, 1, 3, 17, 9, 17, 189, 407, 355, 765, 2545, 1079, 15253, 4785, 5187, 80775, 238775}},
-{13601, 18, 3148, {1, 1, 3, 1, 31, 29, 3, 159, 263, 325, 125, 2221, 6369, 5717, 13985, 33829, 21375, 134249}},
-{13602, 18, 3156, {1, 3, 7, 3, 5, 29, 39, 75, 183, 155, 1017, 637, 921, 9561, 14893, 59695, 38325, 15503}},
-{13603, 18, 3194, {1, 1, 3, 13, 9, 31, 43, 71, 241, 661, 325, 357, 431, 903, 5039, 24535, 94241, 228605}},
-{13604, 18, 3230, {1, 3, 1, 1, 17, 37, 93, 47, 25, 207, 611, 415, 6473, 15979, 2025, 19003, 8941, 248779}},
-{13605, 18, 3233, {1, 1, 7, 15, 19, 17, 81, 201, 121, 11, 1975, 1289, 4405, 7851, 9707, 20057, 33749, 187161}},
-{13606, 18, 3254, {1, 1, 3, 5, 29, 31, 47, 99, 435, 795, 947, 1299, 4011, 8315, 12827, 48071, 86567, 154655}},
-{13607, 18, 3268, {1, 1, 5, 3, 9, 59, 115, 191, 177, 65, 1835, 3989, 1819, 14325, 8939, 25337, 16099, 200577}},
-{13608, 18, 3305, {1, 3, 7, 9, 15, 47, 7, 195, 413, 1013, 1607, 3317, 6979, 13243, 275, 34125, 66069, 90201}},
-{13609, 18, 3323, {1, 1, 3, 3, 29, 3, 51, 137, 341, 393, 897, 351, 1937, 6793, 12551, 18873, 110949, 133925}},
-{13610, 18, 3326, {1, 3, 5, 9, 29, 41, 79, 169, 113, 123, 1229, 1885, 6153, 1549, 31729, 41949, 74083, 41387}},
-{13611, 18, 3343, {1, 3, 1, 15, 31, 49, 7, 233, 305, 435, 1299, 3037, 2387, 15431, 817, 11783, 24067, 116527}},
-{13612, 18, 3345, {1, 3, 5, 13, 7, 17, 49, 33, 133, 45, 689, 2381, 2649, 2433, 27535, 21755, 88611, 200585}},
-{13613, 18, 3382, {1, 1, 5, 11, 1, 61, 87, 97, 91, 433, 313, 2541, 5289, 5769, 17963, 5719, 12165, 146849}},
-{13614, 18, 3413, {1, 3, 7, 13, 17, 21, 37, 191, 489, 847, 841, 3567, 7339, 15233, 23973, 1209, 99741, 243303}},
-{13615, 18, 3420, {1, 3, 1, 1, 5, 21, 11, 39, 69, 751, 1679, 143, 6187, 2963, 695, 45763, 126749, 243841}},
-{13616, 18, 3434, {1, 3, 3, 9, 21, 55, 43, 73, 133, 417, 495, 2899, 5681, 13049, 30241, 44519, 19095, 30673}},
-{13617, 18, 3453, {1, 1, 5, 9, 17, 51, 121, 205, 273, 597, 1325, 3755, 5113, 12287, 21323, 17947, 23807, 20025}},
-{13618, 18, 3472, {1, 1, 7, 7, 21, 11, 25, 33, 207, 13, 1639, 1971, 7401, 11771, 7879, 59027, 111981, 65451}},
-{13619, 18, 3488, {1, 3, 5, 15, 3, 15, 121, 23, 199, 839, 937, 3659, 5379, 2139, 31631, 17215, 65349, 157413}},
-{13620, 18, 3503, {1, 1, 1, 7, 3, 7, 81, 49, 17, 693, 1819, 2737, 7329, 49, 1655, 42317, 31385, 11435}},
-{13621, 18, 3506, {1, 3, 5, 15, 25, 51, 121, 133, 457, 159, 869, 855, 3529, 2691, 147, 58621, 78379, 148519}},
-{13622, 18, 3518, {1, 1, 3, 7, 1, 53, 109, 81, 37, 553, 1921, 3081, 2665, 12665, 13887, 1035, 16987, 48883}},
-{13623, 18, 3532, {1, 1, 5, 1, 19, 1, 121, 97, 143, 871, 1401, 2879, 5657, 5479, 14011, 65131, 56011, 241055}},
-{13624, 18, 3543, {1, 1, 7, 5, 9, 21, 9, 43, 331, 183, 1313, 2495, 6905, 2763, 29567, 7579, 95169, 130937}},
-{13625, 18, 3547, {1, 3, 7, 3, 3, 37, 65, 195, 339, 527, 1383, 3063, 7749, 11109, 8097, 27257, 107615, 134241}},
-{13626, 18, 3573, {1, 1, 1, 5, 25, 25, 63, 179, 135, 65, 169, 2709, 5435, 12119, 21549, 59847, 129639, 220163}},
-{13627, 18, 3574, {1, 3, 5, 1, 3, 17, 87, 181, 9, 923, 731, 3397, 7079, 3281, 10455, 35471, 20439, 206209}},
-{13628, 18, 3587, {1, 1, 1, 5, 31, 25, 15, 89, 381, 675, 1217, 3175, 707, 585, 1695, 57771, 92433, 203523}},
-{13629, 18, 3632, {1, 3, 5, 15, 5, 7, 9, 87, 461, 1017, 869, 1541, 7833, 3117, 24917, 13917, 104797, 149045}},
-{13630, 18, 3664, {1, 1, 7, 15, 13, 49, 9, 89, 165, 827, 657, 1977, 7471, 15437, 25785, 1455, 52803, 198793}},
-{13631, 18, 3713, {1, 3, 1, 15, 3, 39, 27, 205, 325, 345, 965, 1439, 4403, 10717, 9591, 46845, 123983, 76181}},
-{13632, 18, 3726, {1, 3, 1, 1, 25, 23, 97, 135, 367, 179, 1563, 75, 455, 3517, 21539, 59565, 43449, 139495}},
-{13633, 18, 3768, {1, 1, 5, 15, 13, 27, 55, 21, 1, 505, 1349, 409, 2491, 5299, 15771, 59389, 110377, 209275}},
-{13634, 18, 3771, {1, 1, 7, 9, 31, 15, 63, 91, 3, 559, 419, 1237, 1157, 5811, 24335, 19215, 12581, 148813}},
-{13635, 18, 3810, {1, 1, 7, 13, 23, 3, 81, 127, 33, 931, 867, 2905, 1011, 16207, 1543, 54309, 10611, 152733}},
-{13636, 18, 3848, {1, 3, 5, 7, 21, 19, 45, 101, 439, 537, 267, 945, 8007, 9383, 13211, 21867, 5731, 150203}},
-{13637, 18, 3868, {1, 1, 3, 9, 29, 3, 31, 219, 217, 775, 1011, 445, 2663, 1691, 9837, 5727, 116283, 128627}},
-{13638, 18, 3896, {1, 3, 3, 3, 21, 1, 97, 239, 457, 925, 1923, 1693, 1187, 13437, 8529, 22081, 633, 76109}},
-{13639, 18, 3910, {1, 3, 7, 7, 19, 5, 9, 15, 337, 855, 1563, 3159, 2799, 4103, 2013, 47789, 77027, 22425}},
-{13640, 18, 3921, {1, 1, 3, 15, 15, 41, 27, 77, 489, 377, 1953, 305, 5081, 1895, 5117, 51455, 71859, 190289}},
-{13641, 18, 3928, {1, 1, 5, 7, 7, 7, 13, 25, 115, 657, 223, 3185, 5327, 2559, 5147, 22237, 91933, 195429}},
-{13642, 18, 3940, {1, 1, 3, 5, 5, 19, 3, 197, 371, 237, 555, 2873, 3401, 3329, 29165, 4593, 111677, 244025}},
-{13643, 18, 3947, {1, 3, 5, 15, 15, 55, 29, 75, 329, 623, 279, 2831, 4489, 7803, 24119, 12959, 59783, 135213}},
-{13644, 18, 3949, {1, 3, 5, 13, 31, 21, 93, 77, 401, 353, 893, 917, 4813, 8027, 7847, 55315, 60213, 102763}},
-{13645, 18, 4001, {1, 1, 5, 13, 29, 49, 91, 35, 79, 625, 1539, 509, 823, 2239, 30867, 21729, 33195, 38189}},
-{13646, 18, 4004, {1, 3, 3, 3, 19, 11, 39, 145, 5, 329, 1653, 3205, 4431, 9291, 30369, 63173, 72317, 236103}},
-{13647, 18, 4022, {1, 3, 3, 15, 27, 9, 111, 191, 249, 845, 1845, 2097, 6529, 9559, 25757, 29085, 2615, 175759}},
-{13648, 18, 4026, {1, 3, 7, 1, 17, 59, 119, 125, 213, 995, 601, 2517, 1225, 2301, 13031, 40881, 31623, 165799}},
-{13649, 18, 4036, {1, 3, 3, 13, 25, 61, 97, 157, 347, 931, 1731, 3697, 5815, 7309, 30605, 3853, 72395, 103609}},
-{13650, 18, 4073, {1, 1, 7, 5, 23, 13, 51, 117, 495, 683, 777, 1629, 5683, 801, 4907, 24935, 9457, 214131}},
-{13651, 18, 4093, {1, 1, 5, 9, 1, 29, 107, 253, 195, 921, 345, 1451, 2253, 12723, 571, 12009, 34149, 140659}},
-{13652, 18, 4099, {1, 1, 5, 9, 31, 17, 93, 5, 455, 205, 1439, 1199, 7371, 12973, 16455, 675, 60561, 99575}},
-{13653, 18, 4120, {1, 3, 3, 3, 31, 37, 115, 49, 31, 285, 2029, 1369, 3443, 2411, 10367, 44859, 26737, 195703}},
-{13654, 18, 4136, {1, 1, 3, 1, 15, 39, 113, 37, 257, 3, 817, 2901, 4029, 12595, 30475, 34883, 109133, 92159}},
-{13655, 18, 4156, {1, 1, 7, 5, 9, 1, 9, 101, 317, 167, 1975, 411, 6875, 6951, 4401, 59483, 129813, 78289}},
-{13656, 18, 4176, {1, 1, 7, 9, 9, 5, 73, 7, 57, 907, 1887, 2923, 961, 8521, 873, 33791, 114485, 43081}},
-{13657, 18, 4182, {1, 1, 5, 7, 13, 45, 91, 179, 499, 197, 1337, 1321, 5307, 15503, 20449, 60813, 97393, 255741}},
-{13658, 18, 4191, {1, 1, 1, 5, 25, 13, 69, 221, 207, 823, 845, 3845, 6743, 5123, 27447, 2079, 100635, 124157}},
-{13659, 18, 4198, {1, 3, 5, 11, 13, 39, 121, 209, 137, 63, 1479, 323, 5347, 9797, 17785, 55541, 108713, 243347}},
-{13660, 18, 4252, {1, 1, 3, 9, 29, 45, 43, 81, 115, 979, 727, 423, 1133, 8757, 27833, 39907, 104663, 33067}},
-{13661, 18, 4259, {1, 3, 5, 1, 13, 61, 49, 17, 409, 567, 1035, 2299, 3711, 15485, 7767, 27809, 1275, 96455}},
-{13662, 18, 4261, {1, 1, 5, 9, 5, 33, 13, 9, 505, 459, 747, 4079, 4271, 6925, 13933, 31349, 5793, 68381}},
-{13663, 18, 4294, {1, 3, 3, 11, 15, 47, 15, 187, 349, 847, 817, 3551, 6059, 6451, 32615, 1635, 108889, 48003}},
-{13664, 18, 4341, {1, 3, 5, 7, 3, 31, 11, 255, 367, 295, 1079, 2981, 5583, 10771, 25359, 16083, 24163, 111201}},
-{13665, 18, 4348, {1, 3, 5, 5, 7, 5, 127, 19, 343, 849, 287, 1471, 7299, 1209, 31349, 33473, 4989, 229181}},
-{13666, 18, 4356, {1, 1, 3, 9, 25, 61, 7, 65, 77, 745, 1871, 2427, 3669, 8965, 11177, 5531, 115801, 34327}},
-{13667, 18, 4384, {1, 3, 3, 15, 1, 57, 125, 167, 173, 875, 347, 2317, 6687, 4339, 10573, 7841, 16241, 192225}},
-{13668, 18, 4389, {1, 3, 1, 3, 15, 37, 45, 189, 75, 1017, 1919, 3401, 329, 2539, 32697, 60801, 52017, 192611}},
-{13669, 18, 4401, {1, 3, 1, 5, 1, 23, 43, 55, 1, 443, 1769, 1633, 5225, 6855, 5419, 65139, 22237, 17415}},
-{13670, 18, 4428, {1, 3, 5, 15, 25, 7, 107, 209, 325, 367, 373, 1855, 1313, 12899, 30137, 19007, 9911, 11791}},
-{13671, 18, 4431, {1, 3, 7, 13, 3, 57, 123, 93, 279, 469, 1817, 3409, 565, 3997, 14119, 58341, 59691, 163323}},
-{13672, 18, 4445, {1, 1, 3, 9, 3, 3, 69, 109, 47, 487, 1895, 2003, 7309, 9803, 9527, 52211, 31213, 41521}},
-{13673, 18, 4470, {1, 1, 7, 7, 9, 15, 101, 227, 75, 501, 25, 1481, 4847, 13279, 28673, 11069, 61987, 5365}},
-{13674, 18, 4473, {1, 3, 1, 1, 25, 5, 47, 125, 97, 969, 1077, 1185, 6033, 13927, 18149, 34255, 14353, 66323}},
-{13675, 18, 4474, {1, 1, 3, 1, 25, 41, 19, 69, 385, 585, 1049, 3497, 3615, 13211, 18855, 61303, 115739, 42639}},
-{13676, 18, 4490, {1, 3, 7, 7, 13, 15, 13, 133, 497, 265, 1809, 4073, 5673, 7543, 30823, 13505, 76167, 98683}},
-{13677, 18, 4509, {1, 1, 5, 5, 3, 59, 47, 191, 419, 505, 2035, 329, 553, 1561, 27885, 39767, 102611, 12689}},
-{13678, 18, 4510, {1, 3, 7, 3, 27, 49, 27, 133, 305, 537, 385, 335, 2417, 14891, 31299, 26201, 124655, 150545}},
-{13679, 18, 4533, {1, 1, 1, 9, 7, 1, 27, 105, 347, 481, 2043, 1645, 4367, 10335, 16457, 48713, 64699, 63595}},
-{13680, 18, 4548, {1, 1, 3, 3, 7, 57, 125, 209, 299, 525, 591, 1265, 7557, 15113, 19319, 56269, 43919, 215435}},
-{13681, 18, 4558, {1, 1, 1, 11, 29, 59, 119, 245, 63, 919, 1913, 3969, 545, 1033, 20975, 61327, 36783, 124303}},
-{13682, 18, 4594, {1, 1, 7, 7, 11, 63, 45, 135, 405, 931, 753, 2559, 5475, 2107, 6437, 6055, 43497, 133571}},
-{13683, 18, 4596, {1, 3, 1, 13, 31, 39, 39, 141, 231, 83, 69, 473, 1095, 13617, 10909, 49861, 98029, 235003}},
-{13684, 18, 4603, {1, 3, 7, 13, 13, 41, 73, 107, 505, 359, 957, 1599, 7617, 1843, 25531, 63755, 96295, 167955}},
-{13685, 18, 4610, {1, 3, 3, 11, 13, 41, 61, 65, 165, 507, 1007, 1695, 91, 8781, 15017, 12063, 95331, 179853}},
-{13686, 18, 4619, {1, 3, 7, 7, 29, 19, 7, 95, 303, 641, 581, 3539, 4495, 13549, 20195, 20845, 16961, 95053}},
-{13687, 18, 4630, {1, 1, 7, 5, 15, 27, 13, 155, 345, 341, 1583, 2207, 2497, 6509, 24343, 3109, 71431, 184871}},
-{13688, 18, 4652, {1, 1, 3, 15, 31, 35, 37, 249, 71, 1005, 681, 3457, 3387, 13797, 8781, 11789, 16825, 11133}},
-{13689, 18, 4658, {1, 3, 7, 11, 5, 29, 121, 139, 77, 859, 163, 2749, 6401, 16303, 22659, 11817, 61667, 119993}},
-{13690, 18, 4682, {1, 1, 7, 11, 15, 45, 71, 87, 293, 981, 1581, 2789, 4117, 12791, 13611, 489, 74823, 71263}},
-{13691, 18, 4708, {1, 1, 3, 9, 15, 21, 59, 167, 469, 723, 1609, 2111, 6359, 10781, 1043, 51039, 24429, 14605}},
-{13692, 18, 4736, {1, 3, 3, 9, 13, 25, 1, 43, 61, 869, 1919, 601, 8003, 15841, 10141, 33187, 124991, 94205}},
-{13693, 18, 4753, {1, 1, 7, 5, 23, 13, 67, 43, 167, 667, 1743, 2523, 2245, 9287, 8115, 64995, 121371, 188321}},
-{13694, 18, 4760, {1, 1, 1, 9, 13, 19, 45, 249, 21, 751, 239, 4035, 4549, 8905, 9377, 47535, 78135, 210429}},
-{13695, 18, 4781, {1, 1, 3, 7, 5, 43, 13, 227, 75, 785, 631, 205, 3475, 9735, 17867, 61407, 75897, 51151}},
-{13696, 18, 4784, {1, 3, 3, 9, 31, 21, 11, 53, 247, 717, 1505, 3903, 3249, 3185, 29007, 48795, 43413, 158653}},
-{13697, 18, 4799, {1, 1, 5, 11, 19, 9, 37, 159, 183, 521, 743, 2877, 2291, 10317, 1211, 17951, 16335, 66439}},
-{13698, 18, 4807, {1, 1, 3, 7, 3, 41, 15, 113, 125, 391, 201, 3841, 255, 15381, 16801, 47219, 119691, 51811}},
-{13699, 18, 4808, {1, 1, 3, 1, 1, 29, 79, 181, 481, 969, 297, 625, 7449, 5813, 5915, 20011, 44853, 231933}},
-{13700, 18, 4842, {1, 1, 1, 5, 5, 49, 63, 171, 93, 107, 1083, 1277, 121, 4421, 18951, 61155, 66643, 120049}},
-{13701, 18, 4882, {1, 3, 7, 5, 25, 59, 111, 197, 459, 217, 1819, 1603, 5581, 11361, 17721, 57475, 11171, 186577}},
-{13702, 18, 4897, {1, 3, 3, 1, 25, 19, 29, 157, 25, 595, 501, 2145, 7513, 10323, 11107, 13269, 21763, 9427}},
-{13703, 18, 4900, {1, 3, 7, 3, 9, 49, 119, 117, 445, 91, 227, 1203, 6245, 9575, 30653, 65429, 64987, 81249}},
-{13704, 18, 4922, {1, 1, 5, 5, 5, 5, 77, 77, 425, 789, 467, 3931, 4815, 11195, 21939, 59513, 78547, 238035}},
-{13705, 18, 4936, {1, 3, 1, 11, 11, 29, 115, 37, 423, 997, 1231, 3987, 5057, 14533, 18005, 51513, 71851, 258137}},
-{13706, 18, 4960, {1, 3, 1, 1, 27, 31, 7, 223, 23, 59, 1465, 2045, 6677, 15707, 25101, 22269, 46995, 89141}},
-{13707, 18, 4970, {1, 1, 1, 5, 21, 7, 115, 133, 407, 373, 1495, 2551, 6947, 3309, 14903, 5683, 67345, 139381}},
-{13708, 18, 4978, {1, 1, 5, 3, 13, 31, 5, 221, 187, 9, 165, 2295, 1239, 5665, 14543, 3963, 4931, 8269}},
-{13709, 18, 4994, {1, 3, 5, 13, 15, 5, 37, 171, 419, 665, 765, 1619, 1561, 1661, 5873, 25595, 34827, 215599}},
-{13710, 18, 5003, {1, 3, 1, 15, 13, 33, 45, 107, 275, 771, 1105, 2895, 187, 5173, 21179, 35047, 50825, 176775}},
-{13711, 18, 5044, {1, 3, 7, 5, 17, 5, 59, 195, 441, 625, 1205, 207, 4703, 10627, 17123, 61785, 100779, 258597}},
-{13712, 18, 5061, {1, 1, 1, 13, 17, 3, 13, 201, 241, 657, 153, 289, 5213, 2129, 13447, 28807, 25405, 33803}},
-{13713, 18, 5107, {1, 3, 1, 9, 19, 9, 51, 133, 159, 743, 1023, 291, 7137, 6949, 30419, 13449, 111505, 212393}},
-{13714, 18, 5127, {1, 3, 5, 7, 31, 29, 79, 211, 425, 93, 1173, 1957, 6737, 1725, 30703, 43237, 119747, 157395}},
-{13715, 18, 5131, {1, 1, 7, 3, 17, 21, 39, 19, 485, 663, 19, 761, 1525, 11059, 12833, 17567, 61123, 124801}},
-{13716, 18, 5136, {1, 1, 7, 3, 7, 25, 17, 199, 413, 821, 1561, 3855, 1871, 14041, 7525, 19383, 51017, 213357}},
-{13717, 18, 5145, {1, 3, 3, 9, 25, 11, 63, 83, 217, 587, 47, 3775, 767, 9191, 5127, 9133, 97689, 122949}},
-{13718, 18, 5146, {1, 1, 1, 9, 19, 7, 89, 125, 23, 813, 1277, 2965, 1939, 1453, 6349, 53127, 109813, 63767}},
-{13719, 18, 5175, {1, 1, 5, 15, 29, 63, 117, 37, 185, 69, 1823, 2791, 4125, 11757, 14847, 15567, 126141, 185951}},
-{13720, 18, 5218, {1, 3, 7, 1, 23, 11, 15, 113, 209, 785, 229, 3207, 97, 2489, 4587, 14253, 30421, 51027}},
-{13721, 18, 5223, {1, 3, 1, 7, 7, 33, 57, 51, 219, 233, 89, 3781, 2055, 4163, 10935, 51913, 63507, 18645}},
-{13722, 18, 5248, {1, 3, 1, 7, 7, 55, 107, 187, 109, 867, 955, 139, 4979, 8627, 5835, 28761, 72061, 99413}},
-{13723, 18, 5294, {1, 1, 1, 3, 5, 59, 17, 121, 511, 29, 1009, 2875, 2459, 1817, 11741, 13869, 72543, 70485}},
-{13724, 18, 5299, {1, 1, 5, 1, 27, 19, 125, 65, 379, 803, 411, 2403, 719, 10683, 23351, 18113, 66773, 252223}},
-{13725, 18, 5301, {1, 1, 7, 9, 31, 51, 65, 233, 171, 357, 1465, 1609, 4263, 15207, 18825, 48831, 69459, 211321}},
-{13726, 18, 5311, {1, 1, 3, 3, 5, 35, 53, 245, 469, 1011, 759, 455, 4487, 9835, 10349, 61755, 73279, 186049}},
-{13727, 18, 5343, {1, 1, 7, 3, 27, 19, 105, 193, 403, 907, 295, 1445, 1867, 8867, 7821, 45309, 129069, 83953}},
-{13728, 18, 5344, {1, 1, 7, 7, 7, 51, 85, 97, 473, 837, 201, 501, 2929, 9457, 6473, 3653, 126991, 218069}},
-{13729, 18, 5396, {1, 3, 3, 5, 25, 49, 85, 223, 127, 563, 239, 1975, 119, 6029, 19349, 59533, 44173, 142229}},
-{13730, 18, 5406, {1, 1, 3, 7, 23, 11, 27, 49, 467, 701, 2037, 2367, 5829, 12533, 9641, 38629, 90505, 132013}},
-{13731, 18, 5410, {1, 1, 7, 1, 13, 25, 79, 107, 37, 331, 355, 3639, 4875, 6635, 21703, 18289, 36257, 201857}},
-{13732, 18, 5424, {1, 1, 5, 1, 3, 39, 25, 101, 199, 401, 1495, 3683, 5447, 12313, 19707, 20853, 66821, 73959}},
-{13733, 18, 5447, {1, 1, 1, 9, 15, 9, 3, 231, 479, 97, 221, 973, 839, 1757, 8759, 45625, 44691, 139803}},
-{13734, 18, 5461, {1, 1, 7, 15, 9, 51, 23, 233, 311, 83, 287, 4035, 2087, 4245, 25457, 43105, 104903, 132811}},
-{13735, 18, 5468, {1, 1, 1, 9, 5, 13, 33, 167, 363, 67, 601, 2143, 5495, 1277, 14615, 32759, 34935, 158625}},
-{13736, 18, 5475, {1, 1, 5, 11, 5, 63, 35, 49, 183, 705, 377, 2607, 2947, 10119, 15631, 60247, 99309, 25747}},
-{13737, 18, 5478, {1, 3, 7, 5, 7, 3, 127, 109, 165, 767, 1873, 3825, 441, 11957, 2581, 38309, 129623, 77451}},
-{13738, 18, 5523, {1, 3, 1, 7, 19, 53, 101, 117, 505, 363, 1399, 1015, 631, 8309, 17507, 28941, 42585, 116283}},
-{13739, 18, 5530, {1, 1, 7, 7, 9, 27, 127, 195, 499, 225, 153, 517, 3909, 9801, 3787, 32829, 6599, 190807}},
-{13740, 18, 5535, {1, 1, 5, 1, 3, 49, 125, 235, 255, 329, 909, 1685, 759, 2287, 3479, 23491, 71157, 81457}},
-{13741, 18, 5548, {1, 1, 3, 9, 19, 21, 93, 37, 259, 69, 219, 1943, 4747, 13951, 14945, 46099, 87189, 222287}},
-{13742, 18, 5559, {1, 1, 7, 5, 21, 33, 61, 227, 167, 569, 1355, 2997, 4917, 10765, 7015, 54335, 125543, 112867}},
-{13743, 18, 5580, {1, 1, 5, 3, 25, 35, 97, 23, 365, 159, 1211, 1283, 979, 8993, 21323, 6863, 46869, 36169}},
-{13744, 18, 5604, {1, 1, 7, 13, 15, 49, 45, 209, 397, 785, 47, 2307, 4749, 2735, 29525, 54921, 23321, 216197}},
-{13745, 18, 5622, {1, 1, 1, 11, 31, 23, 27, 127, 197, 595, 29, 773, 3291, 6355, 11891, 6635, 99871, 177531}},
-{13746, 18, 5641, {1, 1, 7, 11, 9, 49, 85, 59, 211, 307, 1821, 3947, 4175, 11287, 27889, 107, 46463, 237129}},
-{13747, 18, 5649, {1, 3, 3, 7, 31, 31, 9, 49, 365, 189, 1211, 943, 337, 13809, 16941, 17053, 70125, 149865}},
-{13748, 18, 5656, {1, 3, 1, 13, 9, 21, 67, 1, 365, 77, 1701, 559, 3461, 8961, 13801, 16111, 65239, 157713}},
-{13749, 18, 5671, {1, 3, 7, 13, 19, 49, 29, 233, 361, 1011, 1617, 2989, 2387, 14027, 4021, 28791, 33155, 171449}},
-{13750, 18, 5689, {1, 1, 5, 13, 31, 19, 77, 69, 49, 513, 1411, 77, 4993, 907, 23483, 20129, 29491, 138187}},
-{13751, 18, 5721, {1, 3, 3, 11, 23, 33, 19, 55, 307, 455, 1783, 3997, 6411, 3355, 8815, 39883, 124381, 49667}},
-{13752, 18, 5731, {1, 3, 3, 15, 27, 7, 25, 243, 275, 27, 23, 3039, 6497, 15975, 5877, 58611, 6317, 209119}},
-{13753, 18, 5734, {1, 3, 1, 5, 7, 21, 97, 247, 297, 181, 773, 3095, 2441, 15683, 29609, 50431, 92813, 723}},
-{13754, 18, 5738, {1, 1, 1, 3, 17, 25, 69, 171, 27, 83, 173, 163, 7915, 13547, 5915, 20275, 101613, 225081}},
-{13755, 18, 5740, {1, 1, 7, 15, 19, 13, 53, 95, 171, 889, 131, 1979, 2537, 7749, 77, 49293, 68875, 159125}},
-{13756, 18, 5748, {1, 1, 1, 5, 11, 7, 7, 29, 397, 435, 1495, 2263, 3677, 11121, 1269, 5415, 44427, 249943}},
-{13757, 18, 5791, {1, 3, 1, 5, 23, 21, 13, 185, 231, 757, 1647, 663, 1273, 11641, 25563, 46793, 54231, 113143}},
-{13758, 18, 5801, {1, 3, 3, 7, 11, 21, 83, 109, 409, 923, 1541, 2805, 1781, 6903, 9093, 37327, 60923, 167271}},
-{13759, 18, 5807, {1, 3, 7, 5, 29, 37, 87, 85, 93, 749, 875, 2869, 1023, 13303, 26865, 30971, 40863, 237075}},
-{13760, 18, 5822, {1, 1, 7, 13, 21, 25, 39, 213, 303, 265, 1251, 2963, 3819, 8507, 23239, 52625, 123375, 58553}},
-{13761, 18, 5829, {1, 1, 1, 1, 3, 1, 7, 67, 339, 583, 3, 2489, 5481, 12241, 21695, 31351, 39389, 131925}},
-{13762, 18, 5834, {1, 1, 5, 11, 11, 3, 95, 23, 133, 415, 77, 1891, 4083, 7097, 26455, 28689, 83047, 49759}},
-{13763, 18, 5847, {1, 3, 7, 15, 19, 31, 65, 189, 489, 461, 1255, 1897, 3361, 12223, 9721, 45937, 102695, 113431}},
-{13764, 18, 5854, {1, 3, 1, 5, 9, 57, 3, 225, 241, 769, 1003, 2255, 7655, 4837, 25267, 35845, 49545, 24931}},
-{13765, 18, 5878, {1, 1, 1, 1, 1, 43, 3, 217, 397, 419, 1189, 2037, 5941, 4341, 19851, 13773, 15225, 167581}},
-{13766, 18, 5882, {1, 1, 1, 9, 3, 27, 65, 49, 115, 787, 1637, 1867, 7265, 8541, 1587, 58987, 82161, 19997}},
-{13767, 18, 5919, {1, 3, 7, 11, 17, 17, 93, 103, 309, 159, 781, 3179, 5759, 7661, 5693, 48531, 127375, 141449}},
-{13768, 18, 5947, {1, 3, 7, 5, 13, 39, 79, 241, 7, 137, 219, 523, 541, 4787, 23327, 41665, 111017, 118901}},
-{13769, 18, 5981, {1, 1, 3, 15, 31, 23, 107, 221, 295, 935, 1165, 2463, 1635, 10205, 18057, 28217, 51755, 85579}},
-{13770, 18, 5982, {1, 3, 1, 11, 23, 47, 7, 59, 75, 603, 1237, 2601, 6873, 12735, 32181, 46849, 106363, 171753}},
-{13771, 18, 6025, {1, 1, 7, 13, 15, 31, 3, 113, 355, 955, 919, 1807, 7903, 5485, 1733, 64759, 15817, 93829}},
-{13772, 18, 6028, {1, 1, 3, 15, 11, 33, 95, 67, 511, 971, 343, 41, 2849, 10695, 24487, 8971, 129279, 197635}},
-{13773, 18, 6039, {1, 3, 1, 13, 13, 47, 77, 127, 193, 191, 1185, 3321, 1685, 1421, 28675, 12593, 86689, 186763}},
-{13774, 18, 6056, {1, 3, 7, 13, 1, 11, 123, 91, 287, 751, 11, 2753, 7153, 5253, 21817, 10459, 122225, 105775}},
-{13775, 18, 6064, {1, 3, 3, 13, 1, 17, 121, 13, 391, 253, 1323, 1515, 2067, 8009, 5173, 59543, 109511, 156821}},
-{13776, 18, 6073, {1, 1, 5, 3, 7, 1, 119, 151, 281, 859, 675, 2923, 6627, 16071, 24653, 41325, 118413, 191981}},
-{13777, 18, 6081, {1, 3, 5, 3, 31, 17, 57, 255, 473, 455, 203, 173, 345, 1477, 27939, 39289, 105081, 136179}},
-{13778, 18, 6088, {1, 3, 3, 7, 1, 35, 29, 81, 337, 483, 951, 955, 4343, 14827, 17427, 59919, 81883, 114289}},
-{13779, 18, 6101, {1, 3, 5, 11, 3, 39, 49, 177, 335, 57, 173, 1827, 5729, 2689, 12109, 13247, 117559, 31735}},
-{13780, 18, 6139, {1, 3, 1, 3, 9, 9, 41, 97, 37, 897, 545, 2289, 7917, 5701, 21953, 1863, 33727, 28451}},
-{13781, 18, 6142, {1, 1, 5, 3, 29, 61, 59, 129, 387, 965, 285, 3503, 1651, 10423, 24861, 31853, 38491, 155187}},
-{13782, 18, 6194, {1, 3, 1, 13, 23, 33, 13, 161, 133, 29, 1073, 1491, 3687, 6821, 24153, 3675, 33771, 230087}},
-{13783, 18, 6199, {1, 1, 7, 7, 29, 23, 23, 55, 189, 203, 641, 3391, 1217, 3199, 32531, 43103, 24007, 85613}},
-{13784, 18, 6200, {1, 1, 1, 11, 7, 57, 117, 245, 467, 861, 1265, 2827, 2761, 2817, 15679, 53223, 47245, 139871}},
-{13785, 18, 6203, {1, 1, 3, 15, 25, 1, 125, 237, 489, 1003, 515, 1117, 4427, 4877, 8685, 46211, 19889, 82491}},
-{13786, 18, 6214, {1, 1, 3, 3, 25, 3, 63, 217, 485, 699, 161, 1459, 2973, 15949, 30681, 30991, 13933, 86505}},
-{13787, 18, 6238, {1, 1, 7, 9, 27, 57, 23, 217, 401, 613, 277, 2827, 7111, 2133, 17489, 62059, 7273, 170917}},
-{13788, 18, 6241, {1, 1, 3, 13, 7, 19, 39, 63, 203, 1001, 279, 879, 4293, 10121, 969, 11571, 96427, 218969}},
-{13789, 18, 6244, {1, 3, 7, 7, 5, 21, 113, 203, 77, 971, 1351, 1097, 2581, 7519, 16049, 10565, 5055, 241561}},
-{13790, 18, 6248, {1, 3, 3, 11, 1, 21, 93, 111, 221, 31, 1245, 1499, 2289, 2299, 23457, 49221, 68879, 125029}},
-{13791, 18, 6256, {1, 1, 7, 3, 15, 19, 57, 189, 243, 785, 399, 3147, 6107, 2327, 6275, 9993, 53051, 34053}},
-{13792, 18, 6266, {1, 3, 7, 15, 5, 63, 7, 193, 115, 579, 1987, 765, 7871, 14179, 26383, 61455, 14241, 123515}},
-{13793, 18, 6271, {1, 3, 7, 13, 19, 13, 91, 225, 295, 675, 1995, 1145, 4929, 5163, 1101, 60681, 76777, 146875}},
-{13794, 18, 6275, {1, 3, 7, 15, 21, 37, 57, 89, 297, 143, 717, 4021, 3259, 8869, 21189, 39333, 125045, 94469}},
-{13795, 18, 6295, {1, 1, 5, 9, 27, 35, 69, 121, 433, 39, 889, 915, 4055, 11479, 24757, 53455, 17503, 113295}},
-{13796, 18, 6315, {1, 1, 3, 3, 23, 19, 81, 191, 33, 865, 59, 603, 2819, 4919, 22495, 25089, 73905, 44971}},
-{13797, 18, 6364, {1, 3, 3, 11, 19, 45, 125, 229, 143, 167, 867, 671, 2225, 16099, 14909, 14937, 78063, 135143}},
-{13798, 18, 6368, {1, 1, 7, 11, 21, 55, 73, 247, 211, 895, 1147, 17, 2119, 3261, 19815, 28055, 50139, 178459}},
-{13799, 18, 6377, {1, 1, 3, 1, 19, 3, 37, 221, 243, 459, 1539, 3899, 4597, 5503, 23015, 57019, 62637, 177821}},
-{13800, 18, 6400, {1, 3, 1, 3, 9, 5, 91, 3, 319, 609, 1241, 3953, 5569, 8757, 6453, 8083, 55285, 38297}},
-{13801, 18, 6430, {1, 3, 5, 15, 9, 51, 37, 53, 137, 95, 123, 157, 15, 7421, 22469, 49787, 96245, 199309}},
-{13802, 18, 6477, {1, 3, 1, 1, 29, 61, 85, 211, 437, 1013, 1251, 61, 157, 4325, 24247, 1065, 24875, 31509}},
-{13803, 18, 6480, {1, 3, 1, 13, 7, 43, 13, 171, 53, 567, 77, 3781, 5077, 6691, 32485, 24253, 83919, 159371}},
-{13804, 18, 6490, {1, 1, 1, 13, 15, 15, 19, 53, 325, 309, 53, 1857, 7361, 8831, 31751, 44749, 109265, 227875}},
-{13805, 18, 6526, {1, 3, 7, 3, 31, 19, 113, 253, 361, 697, 1137, 2029, 3673, 10323, 10455, 24935, 7325, 43673}},
-{13806, 18, 6539, {1, 3, 1, 1, 17, 31, 3, 55, 121, 967, 1701, 2171, 4393, 11937, 3987, 5139, 68913, 134233}},
-{13807, 18, 6556, {1, 1, 7, 15, 23, 37, 121, 241, 297, 419, 373, 1219, 739, 4567, 28593, 61267, 95711, 201299}},
-{13808, 18, 6584, {1, 1, 1, 9, 23, 31, 101, 243, 163, 333, 1707, 2553, 5285, 12827, 5051, 14165, 505, 253585}},
-{13809, 18, 6598, {1, 1, 1, 9, 11, 29, 81, 45, 101, 235, 1079, 4091, 1069, 3439, 23599, 6699, 71783, 236943}},
-{13810, 18, 6601, {1, 3, 7, 11, 29, 49, 99, 59, 1, 267, 887, 2941, 6717, 7501, 22549, 53393, 34569, 34671}},
-{13811, 18, 6609, {1, 3, 1, 15, 23, 13, 113, 47, 11, 79, 989, 1025, 35, 10475, 8079, 33121, 32477, 178595}},
-{13812, 18, 6612, {1, 3, 7, 1, 21, 19, 51, 31, 393, 171, 553, 2221, 7017, 8567, 21803, 51803, 83737, 196409}},
-{13813, 18, 6645, {1, 1, 3, 3, 1, 27, 117, 207, 37, 733, 2001, 2575, 4849, 5609, 743, 35987, 109993, 227663}},
-{13814, 18, 6655, {1, 1, 7, 15, 29, 47, 85, 213, 335, 633, 849, 3269, 7723, 4651, 355, 54565, 58829, 22781}},
-{13815, 18, 6679, {1, 3, 7, 5, 5, 3, 91, 243, 17, 85, 1983, 3909, 1839, 10403, 503, 28451, 3221, 215397}},
-{13816, 18, 6683, {1, 1, 1, 15, 13, 3, 9, 25, 249, 113, 1619, 2313, 6461, 2323, 14319, 59635, 9569, 220583}},
-{13817, 18, 6719, {1, 3, 5, 7, 31, 59, 41, 43, 43, 921, 647, 2141, 7011, 2749, 24711, 19067, 107895, 107145}},
-{13818, 18, 6727, {1, 1, 3, 3, 15, 63, 41, 241, 181, 729, 843, 3569, 2645, 2727, 25331, 23067, 115421, 86025}},
-{13819, 18, 6734, {1, 3, 1, 15, 11, 47, 9, 183, 341, 775, 1067, 1317, 6835, 7873, 2653, 33517, 103979, 196761}},
-{13820, 18, 6770, {1, 1, 3, 13, 29, 11, 105, 9, 49, 823, 1343, 759, 1263, 12413, 26047, 54285, 57319, 215387}},
-{13821, 18, 6776, {1, 1, 5, 13, 21, 55, 75, 149, 63, 737, 1305, 929, 4149, 2793, 24505, 11541, 74765, 8207}},
-{13822, 18, 6791, {1, 3, 5, 9, 25, 1, 43, 157, 303, 395, 301, 1561, 5963, 3501, 2259, 59777, 100953, 16051}},
-{13823, 18, 6798, {1, 3, 1, 13, 19, 25, 33, 209, 11, 95, 655, 595, 3081, 10345, 26615, 45129, 84023, 158079}},
-{13824, 18, 6800, {1, 3, 1, 9, 31, 61, 103, 203, 471, 215, 1103, 759, 1197, 3333, 15859, 36103, 31563, 5987}},
-{13825, 18, 6826, {1, 1, 1, 7, 1, 49, 121, 227, 153, 793, 1723, 1033, 6875, 6683, 2503, 57213, 97967, 120383}},
-{13826, 18, 6833, {1, 3, 7, 11, 3, 15, 35, 181, 19, 249, 755, 1385, 3297, 4665, 2761, 22717, 126199, 85065}},
-{13827, 18, 6836, {1, 3, 7, 15, 5, 45, 17, 55, 111, 597, 553, 1203, 7183, 8465, 28523, 50073, 90889, 187205}},
-{13828, 18, 6858, {1, 3, 3, 9, 31, 57, 13, 139, 291, 881, 501, 2051, 617, 5151, 28225, 44777, 31645, 6805}},
-{13829, 18, 6882, {1, 3, 5, 13, 1, 23, 107, 1, 201, 35, 1673, 2281, 7663, 1115, 25061, 59615, 127955, 169685}},
-{13830, 18, 6901, {1, 1, 3, 15, 15, 5, 17, 75, 307, 591, 1661, 855, 4239, 13359, 20027, 51871, 35241, 32769}},
-{13831, 18, 6923, {1, 1, 1, 15, 5, 23, 59, 205, 223, 103, 1889, 141, 6157, 9187, 23571, 15267, 1941, 119173}},
-{13832, 18, 6967, {1, 3, 5, 9, 27, 63, 59, 11, 279, 493, 209, 4087, 1055, 9841, 31753, 37459, 27757, 213151}},
-{13833, 18, 6979, {1, 1, 3, 11, 31, 33, 13, 87, 285, 847, 2005, 3431, 253, 15157, 31359, 45303, 114337, 42541}},
-{13834, 18, 7022, {1, 1, 1, 7, 7, 3, 17, 203, 133, 321, 241, 1323, 5639, 10953, 10069, 4941, 17077, 54493}},
-{13835, 18, 7060, {1, 1, 7, 1, 9, 5, 125, 5, 421, 609, 645, 1927, 3785, 2295, 1491, 23019, 85497, 161231}},
-{13836, 18, 7064, {1, 3, 3, 11, 19, 35, 115, 95, 353, 773, 2025, 2621, 2821, 6361, 29589, 20989, 99645, 90387}},
-{13837, 18, 7083, {1, 3, 1, 15, 23, 3, 71, 253, 467, 307, 1109, 2695, 7175, 15087, 1587, 48229, 104307, 218905}},
-{13838, 18, 7093, {1, 3, 3, 5, 17, 29, 107, 153, 371, 205, 7, 597, 7393, 2345, 20149, 47417, 37983, 200683}},
-{13839, 18, 7094, {1, 1, 7, 1, 3, 55, 113, 117, 241, 923, 1217, 3825, 2635, 8007, 12673, 9533, 7121, 3825}},
-{13840, 18, 7120, {1, 1, 1, 3, 21, 63, 25, 111, 31, 151, 67, 3735, 7833, 749, 28743, 59291, 4989, 93329}},
-{13841, 18, 7125, {1, 3, 5, 13, 31, 5, 91, 153, 235, 1019, 431, 1951, 7501, 8483, 19625, 57789, 13203, 36693}},
-{13842, 18, 7142, {1, 1, 7, 3, 15, 51, 99, 29, 403, 343, 1903, 907, 3255, 4149, 29551, 18885, 74391, 96119}},
-{13843, 18, 7151, {1, 1, 7, 11, 31, 11, 63, 213, 437, 879, 359, 555, 7549, 14269, 31489, 51001, 76857, 237305}},
-{13844, 18, 7165, {1, 1, 1, 15, 23, 21, 31, 227, 311, 273, 253, 2439, 7217, 2191, 31743, 47669, 62279, 201305}},
-{13845, 18, 7173, {1, 3, 5, 11, 3, 43, 97, 121, 363, 91, 201, 1095, 5267, 633, 19111, 36099, 23035, 205655}},
-{13846, 18, 7188, {1, 3, 1, 9, 21, 31, 39, 11, 227, 699, 473, 2109, 2757, 13821, 31181, 40493, 57279, 260085}},
-{13847, 18, 7191, {1, 1, 5, 7, 27, 57, 65, 11, 173, 709, 1139, 3735, 5291, 16053, 32579, 25275, 79865, 196033}},
-{13848, 18, 7202, {1, 1, 1, 9, 19, 35, 83, 153, 287, 207, 593, 2177, 3243, 10433, 24583, 881, 71865, 250223}},
-{13849, 18, 7216, {1, 3, 3, 9, 3, 35, 107, 3, 193, 1011, 463, 1643, 2733, 2157, 6329, 24583, 116901, 226385}},
-{13850, 18, 7219, {1, 3, 1, 11, 3, 47, 39, 33, 495, 137, 1591, 1335, 1347, 4527, 389, 43341, 80163, 5219}},
-{13851, 18, 7267, {1, 3, 3, 5, 19, 51, 121, 135, 93, 891, 13, 1339, 5187, 5005, 12823, 14465, 73845, 119685}},
-{13852, 18, 7358, {1, 3, 7, 7, 19, 1, 57, 193, 325, 49, 813, 5, 4431, 1119, 13625, 43613, 127989, 42669}},
-{13853, 18, 7383, {1, 3, 5, 15, 11, 33, 7, 45, 215, 469, 1059, 4095, 3549, 11839, 5463, 21383, 4831, 188345}},
-{13854, 18, 7387, {1, 1, 1, 13, 5, 61, 7, 161, 99, 623, 1589, 1045, 2385, 8899, 19327, 41373, 109241, 111895}},
-{13855, 18, 7396, {1, 1, 5, 7, 11, 39, 115, 41, 21, 491, 1221, 2805, 4311, 7137, 3151, 1387, 24633, 94679}},
-{13856, 18, 7408, {1, 1, 3, 7, 3, 39, 71, 175, 443, 187, 1727, 2535, 5099, 1881, 21639, 5717, 48589, 95037}},
-{13857, 18, 7432, {1, 1, 1, 11, 25, 21, 37, 227, 407, 73, 721, 3515, 381, 981, 21389, 5205, 31851, 140457}},
-{13858, 18, 7462, {1, 3, 3, 3, 27, 35, 13, 129, 457, 315, 253, 2545, 5469, 6695, 25223, 20115, 38039, 133655}},
-{13859, 18, 7480, {1, 1, 3, 11, 21, 47, 77, 231, 87, 245, 2039, 2515, 2873, 1711, 3361, 62123, 67117, 239047}},
-{13860, 18, 7488, {1, 1, 7, 7, 29, 21, 39, 175, 477, 813, 447, 1109, 7391, 14631, 4437, 42539, 13003, 75403}},
-{13861, 18, 7497, {1, 3, 1, 11, 11, 9, 119, 19, 99, 483, 61, 1883, 3415, 2137, 30415, 34519, 115191, 24437}},
-{13862, 18, 7531, {1, 1, 1, 9, 7, 47, 115, 233, 419, 427, 1605, 3821, 6243, 10861, 28495, 48265, 80811, 147701}},
-{13863, 18, 7561, {1, 3, 5, 5, 11, 61, 51, 155, 279, 463, 31, 1559, 2837, 8795, 4049, 13651, 109227, 52131}},
-{13864, 18, 7582, {1, 1, 7, 9, 25, 33, 97, 79, 477, 83, 923, 3293, 6381, 3063, 23293, 35381, 82867, 233189}},
-{13865, 18, 7591, {1, 1, 1, 9, 11, 39, 109, 189, 219, 1021, 137, 2041, 2719, 1763, 31787, 29377, 96287, 179685}},
-{13866, 18, 7612, {1, 3, 7, 5, 3, 15, 37, 179, 77, 751, 709, 893, 7705, 1563, 7843, 29843, 1107, 35919}},
-{13867, 18, 7677, {1, 3, 3, 3, 29, 17, 123, 201, 275, 487, 1979, 1361, 7523, 13783, 10129, 16877, 127049, 163221}},
-{13868, 18, 7687, {1, 1, 1, 9, 27, 35, 69, 167, 509, 133, 1073, 3773, 265, 8455, 12341, 127, 115075, 94537}},
-{13869, 18, 7701, {1, 3, 7, 9, 13, 35, 57, 83, 123, 211, 739, 253, 3907, 5405, 3229, 46837, 77483, 5915}},
-{13870, 18, 7705, {1, 1, 7, 3, 7, 27, 71, 235, 133, 803, 611, 529, 4449, 16113, 8151, 36519, 34561, 36361}},
-{13871, 18, 7712, {1, 1, 3, 1, 31, 9, 123, 85, 407, 415, 353, 3239, 673, 4641, 25883, 61117, 7669, 240851}},
-{13872, 18, 7721, {1, 1, 5, 11, 29, 9, 49, 31, 3, 249, 1769, 3325, 503, 1397, 30677, 22515, 81279, 90309}},
-{13873, 18, 7736, {1, 3, 5, 3, 15, 63, 121, 253, 421, 279, 497, 3881, 6977, 11061, 5883, 38347, 8351, 118123}},
-{13874, 18, 7756, {1, 1, 1, 13, 1, 27, 3, 91, 281, 563, 1283, 1893, 7593, 12171, 27041, 7769, 95691, 13791}},
-{13875, 18, 7777, {1, 1, 3, 3, 29, 59, 87, 153, 337, 819, 787, 2631, 1889, 13869, 29237, 57097, 91621, 4011}},
-{13876, 18, 7783, {1, 1, 1, 15, 7, 49, 1, 83, 299, 353, 131, 1635, 3723, 16209, 1061, 50669, 68083, 133443}},
-{13877, 18, 7792, {1, 3, 5, 5, 27, 17, 5, 239, 285, 831, 1487, 721, 4891, 4265, 23753, 43921, 116709, 105027}},
-{13878, 18, 7797, {1, 1, 7, 7, 5, 35, 63, 97, 215, 447, 353, 495, 8119, 12537, 9679, 58641, 65057, 21999}},
-{13879, 18, 7802, {1, 3, 7, 5, 23, 43, 69, 115, 59, 603, 493, 1665, 5003, 13607, 28491, 4439, 11855, 228183}},
-{13880, 18, 7808, {1, 3, 3, 3, 15, 35, 19, 63, 241, 357, 979, 2891, 3105, 14085, 10539, 62335, 130903, 163153}},
-{13881, 18, 7866, {1, 3, 5, 3, 23, 51, 23, 193, 129, 171, 1913, 1025, 6397, 15657, 19611, 57455, 87531, 51039}},
-{13882, 18, 7885, {1, 1, 3, 9, 1, 9, 7, 239, 87, 527, 1401, 2703, 4021, 3845, 29269, 48217, 61091, 131949}},
-{13883, 18, 7891, {1, 3, 1, 5, 17, 45, 59, 223, 287, 295, 1959, 3985, 3671, 14605, 18949, 34147, 51251, 10271}},
-{13884, 18, 7913, {1, 3, 5, 9, 5, 49, 63, 105, 43, 157, 1827, 495, 5823, 6323, 6601, 51379, 64411, 204103}},
-{13885, 18, 7936, {1, 1, 7, 1, 11, 31, 117, 9, 13, 965, 177, 1247, 2487, 9849, 20367, 49287, 2193, 235689}},
-{13886, 18, 7946, {1, 1, 3, 11, 19, 31, 23, 215, 489, 657, 801, 3937, 379, 12083, 14969, 37857, 39027, 63985}},
-{13887, 18, 7963, {1, 1, 5, 1, 9, 59, 53, 187, 341, 65, 1251, 767, 4897, 13263, 17439, 26625, 122107, 163653}},
-{13888, 18, 7996, {1, 1, 3, 13, 31, 41, 125, 253, 481, 107, 233, 2305, 3321, 7303, 28585, 12787, 83307, 31497}},
-{13889, 18, 7999, {1, 1, 3, 13, 25, 41, 55, 83, 101, 115, 549, 531, 3085, 9497, 27989, 28257, 121075, 189671}},
-{13890, 18, 8011, {1, 3, 5, 11, 13, 53, 121, 85, 355, 275, 1925, 2117, 1349, 5903, 2041, 20963, 60803, 1121}},
-{13891, 18, 8014, {1, 1, 5, 5, 13, 7, 125, 63, 311, 187, 1127, 643, 6137, 845, 23945, 9403, 451, 53027}},
-{13892, 18, 8028, {1, 1, 3, 7, 19, 31, 27, 239, 337, 61, 641, 1693, 7289, 5675, 30067, 41091, 124607, 36971}},
-{13893, 18, 8047, {1, 3, 1, 13, 25, 61, 11, 81, 165, 129, 241, 711, 5193, 13017, 30821, 35239, 110809, 60909}},
-{13894, 18, 8077, {1, 3, 3, 13, 15, 13, 71, 19, 87, 499, 1395, 1191, 1445, 2687, 4691, 16773, 114269, 186237}},
-{13895, 18, 8101, {1, 3, 3, 15, 1, 49, 33, 109, 241, 5, 431, 461, 3865, 14029, 9827, 54455, 52159, 211585}},
-{13896, 18, 8119, {1, 3, 5, 7, 31, 27, 115, 113, 367, 591, 873, 1447, 6819, 7011, 14095, 55243, 4039, 226985}},
-{13897, 18, 8125, {1, 1, 7, 3, 1, 19, 69, 239, 417, 833, 1867, 3111, 2617, 12781, 5531, 17345, 75717, 139667}},
-{13898, 18, 8140, {1, 1, 5, 11, 11, 63, 23, 141, 221, 897, 1269, 2185, 6057, 8865, 20449, 58255, 27073, 158305}},
-{13899, 18, 8152, {1, 3, 3, 5, 23, 23, 121, 39, 457, 935, 691, 2329, 7055, 2821, 12669, 28713, 82321, 245783}},
-{13900, 18, 8209, {1, 1, 1, 9, 27, 9, 35, 23, 139, 823, 703, 917, 1281, 12155, 11681, 26083, 119445, 181489}},
-{13901, 18, 8212, {1, 1, 3, 7, 27, 21, 35, 243, 17, 633, 1665, 3419, 6301, 16099, 17477, 24983, 128455, 127501}},
-{13902, 18, 8231, {1, 3, 1, 1, 17, 19, 59, 165, 487, 985, 597, 689, 7103, 14475, 6985, 29755, 115977, 105943}},
-{13903, 18, 8258, {1, 1, 5, 5, 23, 41, 67, 175, 3, 571, 1501, 3315, 6111, 1847, 28975, 54117, 66605, 69997}},
-{13904, 18, 8275, {1, 3, 5, 5, 13, 37, 113, 75, 383, 297, 1187, 2055, 3433, 14651, 30393, 29647, 126403, 32265}},
-{13905, 18, 8303, {1, 1, 3, 5, 31, 29, 25, 169, 465, 219, 81, 2019, 4255, 6003, 7425, 53269, 31105, 211937}},
-{13906, 18, 8308, {1, 3, 7, 11, 13, 7, 11, 195, 327, 883, 1295, 3721, 1197, 7585, 5693, 993, 125017, 12007}},
-{13907, 18, 8312, {1, 3, 3, 7, 5, 37, 71, 37, 63, 651, 669, 3445, 3959, 249, 10599, 22329, 107701, 107729}},
-{13908, 18, 8345, {1, 1, 1, 9, 7, 47, 21, 181, 395, 345, 757, 481, 2759, 8157, 19847, 55743, 63137, 224765}},
-{13909, 18, 8346, {1, 3, 5, 9, 29, 3, 61, 35, 271, 157, 549, 843, 2907, 91, 16325, 4241, 94495, 78861}},
-{13910, 18, 8370, {1, 3, 1, 9, 17, 11, 53, 243, 49, 911, 1193, 793, 901, 3727, 21849, 33987, 565, 154171}},
-{13911, 18, 8402, {1, 1, 5, 1, 9, 5, 89, 81, 65, 111, 781, 3775, 591, 4987, 29833, 58159, 7253, 206447}},
-{13912, 18, 8411, {1, 3, 1, 7, 3, 59, 77, 83, 173, 545, 103, 2541, 8095, 10797, 11111, 62351, 88827, 55081}},
-{13913, 18, 8414, {1, 1, 3, 11, 29, 37, 19, 47, 145, 19, 513, 3269, 2205, 5317, 19207, 38051, 5413, 78089}},
-{13914, 18, 8424, {1, 1, 5, 9, 21, 57, 75, 249, 21, 879, 1377, 3407, 6123, 11917, 12493, 44873, 113539, 114717}},
-{13915, 18, 8435, {1, 3, 3, 9, 7, 55, 121, 57, 491, 39, 1561, 2625, 639, 13553, 1159, 43071, 68869, 248837}},
-{13916, 18, 8452, {1, 1, 1, 11, 25, 19, 107, 239, 171, 1001, 69, 4095, 49, 9569, 22613, 59865, 54959, 70031}},
-{13917, 18, 8462, {1, 1, 3, 13, 27, 15, 105, 205, 205, 581, 1965, 1535, 6531, 15935, 7623, 33695, 9317, 44257}},
-{13918, 18, 8479, {1, 1, 1, 3, 3, 51, 115, 185, 315, 763, 211, 339, 7083, 4895, 23277, 14165, 101731, 218903}},
-{13919, 18, 8509, {1, 1, 3, 13, 29, 1, 69, 55, 423, 781, 183, 1417, 151, 14507, 5217, 27757, 52447, 145913}},
-{13920, 18, 8515, {1, 3, 1, 11, 29, 39, 29, 151, 85, 387, 885, 507, 133, 9819, 12627, 30951, 79839, 206267}},
-{13921, 18, 8522, {1, 3, 3, 7, 1, 53, 99, 141, 91, 51, 143, 1751, 3989, 6811, 7339, 52141, 43473, 18615}},
-{13922, 18, 8541, {1, 3, 3, 15, 27, 11, 29, 37, 387, 655, 2019, 1135, 3619, 12995, 12755, 26063, 109419, 103875}},
-{13923, 18, 8560, {1, 3, 3, 13, 31, 15, 93, 231, 195, 261, 1055, 2363, 1123, 3927, 6907, 365, 27043, 157049}},
-{13924, 18, 8563, {1, 1, 1, 15, 7, 29, 105, 199, 507, 437, 117, 2963, 7801, 6291, 19261, 30377, 92205, 20723}},
-{13925, 18, 8585, {1, 1, 1, 9, 29, 19, 75, 189, 3, 387, 1491, 2291, 7739, 12993, 11835, 10873, 54583, 207963}},
-{13926, 18, 8594, {1, 3, 7, 3, 23, 11, 25, 105, 57, 713, 1291, 3293, 4693, 13859, 27541, 31529, 65929, 245143}},
-{13927, 18, 8596, {1, 1, 7, 7, 19, 13, 19, 189, 253, 337, 351, 1751, 6173, 12207, 24483, 31381, 82035, 157143}},
-{13928, 18, 8603, {1, 3, 3, 11, 11, 49, 117, 177, 301, 417, 855, 2433, 5619, 7339, 30361, 29251, 20411, 184981}},
-{13929, 18, 8610, {1, 1, 1, 1, 11, 55, 77, 99, 209, 781, 1193, 2841, 783, 1485, 19413, 52255, 19529, 253927}},
-{13930, 18, 8647, {1, 3, 1, 3, 15, 49, 85, 191, 389, 411, 479, 341, 4985, 6193, 19099, 11497, 103285, 162333}},
-{13931, 18, 8661, {1, 3, 1, 3, 11, 31, 71, 91, 357, 615, 2007, 3601, 5393, 8079, 16811, 54127, 26049, 116341}},
-{13932, 18, 8662, {1, 1, 3, 15, 9, 39, 121, 53, 43, 617, 905, 3629, 6327, 13453, 1435, 24113, 7523, 228523}},
-{13933, 18, 8672, {1, 3, 5, 11, 21, 51, 11, 125, 33, 935, 1069, 2807, 4951, 13261, 17611, 38779, 62203, 135759}},
-{13934, 18, 8690, {1, 1, 1, 13, 29, 59, 53, 245, 219, 423, 809, 1109, 7255, 14679, 25247, 43235, 129565, 72649}},
-{13935, 18, 8696, {1, 3, 5, 7, 27, 29, 119, 91, 297, 407, 187, 2829, 5637, 13851, 14073, 461, 64081, 33971}},
-{13936, 18, 8739, {1, 1, 5, 11, 15, 27, 29, 233, 487, 859, 1021, 3117, 1439, 16021, 31315, 35775, 117363, 131635}},
-{13937, 18, 8783, {1, 1, 5, 3, 3, 1, 91, 229, 327, 777, 393, 3853, 3455, 1785, 13749, 25173, 51575, 167237}},
-{13938, 18, 8811, {1, 3, 7, 9, 27, 7, 15, 71, 283, 71, 1783, 1357, 5581, 3143, 26075, 47751, 71001, 157107}},
-{13939, 18, 8813, {1, 3, 3, 7, 23, 9, 69, 21, 333, 223, 1735, 1057, 8091, 1927, 8507, 40901, 40233, 164115}},
-{13940, 18, 8821, {1, 3, 7, 3, 11, 49, 29, 81, 215, 289, 1137, 765, 6385, 5935, 3435, 11991, 30867, 60745}},
-{13941, 18, 8856, {1, 1, 1, 1, 7, 39, 33, 173, 225, 533, 1927, 3607, 1059, 8779, 2649, 6801, 103963, 167471}},
-{13942, 18, 8877, {1, 3, 3, 15, 27, 51, 107, 3, 195, 87, 739, 1425, 747, 1501, 22245, 59233, 124867, 79753}},
-{13943, 18, 8885, {1, 1, 3, 3, 13, 41, 125, 101, 225, 749, 221, 2735, 6441, 11353, 3943, 35329, 53437, 149063}},
-{13944, 18, 8897, {1, 3, 3, 15, 3, 53, 75, 77, 1, 907, 573, 1909, 363, 6913, 559, 58489, 1053, 25513}},
-{13945, 18, 8898, {1, 1, 7, 11, 7, 15, 91, 155, 447, 555, 473, 3625, 7529, 16307, 32241, 64077, 46943, 85717}},
-{13946, 18, 8934, {1, 1, 1, 13, 9, 61, 91, 41, 101, 107, 1081, 2511, 2881, 14095, 3861, 22771, 32687, 77287}},
-{13947, 18, 8955, {1, 3, 3, 7, 21, 3, 51, 177, 203, 861, 1507, 1177, 2369, 11735, 1667, 28607, 97671, 123263}},
-{13948, 18, 8972, {1, 1, 1, 3, 5, 57, 13, 127, 353, 65, 663, 3849, 3579, 5521, 11765, 63427, 76349, 102517}},
-{13949, 18, 8977, {1, 1, 7, 11, 27, 55, 79, 249, 397, 77, 1543, 3787, 4889, 11145, 18691, 62899, 66425, 116195}},
-{13950, 18, 9038, {1, 1, 1, 3, 5, 3, 1, 143, 73, 999, 2013, 2001, 4001, 6563, 30811, 61445, 2645, 203631}},
-{13951, 18, 9045, {1, 1, 1, 15, 1, 49, 35, 61, 493, 101, 1407, 2211, 7467, 12321, 15901, 15479, 62939, 14643}},
-{13952, 18, 9071, {1, 1, 3, 11, 21, 33, 123, 95, 449, 355, 1501, 1627, 1411, 6183, 17457, 2199, 96313, 25023}},
-{13953, 18, 9085, {1, 1, 5, 5, 13, 49, 73, 203, 83, 3, 137, 119, 3001, 10685, 18231, 60727, 31785, 158605}},
-{13954, 18, 9110, {1, 3, 1, 11, 23, 19, 123, 9, 269, 501, 2005, 3695, 3327, 5353, 12619, 12987, 18213, 29355}},
-{13955, 18, 9120, {1, 3, 1, 5, 1, 25, 99, 197, 327, 575, 773, 2009, 6653, 1807, 20381, 55725, 124359, 176893}},
-{13956, 18, 9157, {1, 1, 7, 15, 27, 9, 81, 175, 73, 727, 1907, 1237, 4983, 16123, 16479, 2283, 57805, 13593}},
-{13957, 18, 9164, {1, 1, 3, 13, 7, 13, 13, 139, 283, 721, 487, 1821, 4257, 5105, 8057, 27193, 46857, 169927}},
-{13958, 18, 9185, {1, 1, 5, 5, 29, 5, 81, 211, 441, 685, 981, 3097, 6253, 10673, 12253, 54943, 69401, 147769}},
-{13959, 18, 9203, {1, 3, 3, 1, 13, 35, 73, 145, 139, 781, 37, 803, 3607, 4327, 1153, 11325, 131025, 168729}},
-{13960, 18, 9235, {1, 3, 1, 13, 17, 41, 19, 59, 23, 561, 315, 719, 3325, 275, 12715, 59843, 16597, 81691}},
-{13961, 18, 9278, {1, 3, 1, 11, 1, 53, 11, 237, 363, 345, 331, 129, 6885, 3105, 12487, 53803, 8897, 193777}},
-{13962, 18, 9290, {1, 3, 7, 15, 3, 53, 55, 101, 389, 839, 413, 2851, 3989, 12857, 25723, 16595, 94145, 193049}},
-{13963, 18, 9292, {1, 3, 1, 7, 15, 31, 3, 115, 197, 753, 1035, 1369, 4925, 4497, 1641, 63743, 127089, 114097}},
-{13964, 18, 9319, {1, 3, 5, 5, 23, 1, 35, 99, 277, 769, 895, 581, 6969, 15339, 10309, 27101, 22611, 86179}},
-{13965, 18, 9334, {1, 1, 1, 11, 19, 17, 45, 35, 257, 313, 815, 1469, 3651, 15101, 22775, 51729, 75401, 123653}},
-{13966, 18, 9362, {1, 3, 1, 15, 5, 11, 83, 141, 373, 935, 1123, 1849, 1267, 15427, 10615, 63303, 109771, 188601}},
-{13967, 18, 9387, {1, 3, 5, 3, 29, 23, 79, 193, 261, 29, 1857, 789, 4359, 14211, 22181, 64901, 129089, 65587}},
-{13968, 18, 9404, {1, 3, 1, 3, 29, 15, 19, 239, 497, 771, 239, 2853, 2391, 8153, 31899, 53759, 127219, 78833}},
-{13969, 18, 9407, {1, 1, 7, 7, 5, 57, 9, 93, 69, 993, 193, 3629, 5761, 9339, 28073, 50035, 81635, 83119}},
-{13970, 18, 9410, {1, 1, 5, 13, 7, 35, 79, 247, 43, 1011, 1189, 2881, 1963, 8889, 9929, 50043, 112581, 224139}},
-{13971, 18, 9422, {1, 3, 3, 7, 15, 63, 85, 33, 107, 37, 45, 1271, 4735, 1151, 19793, 6589, 50875, 185061}},
-{13972, 18, 9478, {1, 3, 1, 15, 1, 63, 1, 201, 207, 179, 67, 3703, 2629, 10517, 1, 39645, 119733, 6449}},
-{13973, 18, 9512, {1, 3, 5, 1, 3, 7, 97, 101, 233, 71, 255, 3767, 8127, 8041, 25001, 7601, 129595, 131657}},
-{13974, 18, 9535, {1, 1, 7, 1, 25, 29, 105, 25, 267, 191, 267, 3141, 4445, 5043, 25203, 32055, 11035, 229031}},
-{13975, 18, 9604, {1, 1, 1, 13, 3, 1, 1, 147, 63, 259, 1171, 401, 6289, 13577, 28129, 1349, 85027, 178123}},
-{13976, 18, 9616, {1, 1, 1, 13, 1, 59, 109, 95, 49, 309, 1141, 1355, 3415, 11237, 21619, 12039, 1795, 57775}},
-{13977, 18, 9622, {1, 3, 1, 11, 19, 3, 51, 227, 277, 49, 703, 2701, 515, 8893, 20163, 65297, 114781, 225687}},
-{13978, 18, 9631, {1, 3, 7, 11, 19, 47, 121, 199, 173, 905, 1903, 1781, 2425, 13381, 25843, 23279, 87701, 10723}},
-{13979, 18, 9656, {1, 3, 1, 13, 7, 21, 17, 15, 85, 241, 119, 2361, 7921, 6077, 955, 34221, 78179, 35511}},
-{13980, 18, 9710, {1, 1, 7, 11, 9, 1, 1, 29, 445, 557, 241, 959, 6077, 3547, 30987, 48129, 79699, 236611}},
-{13981, 18, 9721, {1, 3, 1, 15, 13, 29, 57, 117, 347, 719, 1435, 307, 5209, 4009, 10517, 3373, 67667, 260101}},
-{13982, 18, 9728, {1, 1, 7, 13, 11, 41, 17, 143, 467, 993, 779, 3991, 623, 8915, 21615, 56477, 59721, 164241}},
-{13983, 18, 9733, {1, 1, 3, 7, 15, 37, 53, 33, 395, 547, 1815, 2517, 6575, 14035, 1, 10919, 25467, 117521}},
-{13984, 18, 9738, {1, 1, 3, 9, 17, 47, 45, 3, 509, 53, 1245, 883, 7917, 15445, 4169, 49637, 90933, 109469}},
-{13985, 18, 9774, {1, 3, 1, 3, 27, 37, 3, 95, 31, 665, 701, 1979, 3735, 3257, 18943, 41201, 95721, 69451}},
-{13986, 18, 9791, {1, 1, 1, 15, 19, 49, 61, 5, 115, 801, 805, 2723, 1387, 13165, 20717, 40767, 88857, 28207}},
-{13987, 18, 9803, {1, 1, 5, 9, 21, 25, 23, 179, 59, 29, 547, 1829, 4411, 6689, 22363, 43975, 52259, 187563}},
-{13988, 18, 9805, {1, 1, 5, 11, 13, 31, 97, 131, 135, 415, 53, 4015, 3629, 6613, 25541, 47221, 66483, 224545}},
-{13989, 18, 9817, {1, 3, 1, 11, 19, 13, 65, 95, 381, 759, 1319, 2997, 6321, 9203, 24483, 9925, 10799, 117119}},
-{13990, 18, 9823, {1, 3, 5, 13, 27, 17, 39, 225, 199, 125, 1125, 2673, 6787, 8861, 13139, 13849, 65459, 40183}},
-{13991, 18, 9839, {1, 1, 5, 3, 17, 55, 23, 75, 457, 959, 1507, 1267, 6857, 16141, 1889, 10779, 41331, 166075}},
-{13992, 18, 9847, {1, 3, 1, 15, 7, 55, 109, 59, 241, 431, 1281, 183, 1029, 14617, 4003, 41871, 36007, 129617}},
-{13993, 18, 9854, {1, 3, 1, 1, 27, 61, 79, 93, 217, 251, 671, 989, 7031, 10035, 15455, 13685, 95471, 997}},
-{13994, 18, 9863, {1, 1, 3, 13, 1, 5, 125, 179, 357, 537, 1303, 2653, 7319, 2075, 3861, 11743, 89659, 221705}},
-{13995, 18, 9872, {1, 1, 1, 7, 3, 55, 5, 201, 153, 639, 835, 1913, 3331, 10727, 30365, 15133, 67911, 17851}},
-{13996, 18, 9884, {1, 1, 3, 13, 21, 1, 67, 71, 265, 43, 279, 2009, 873, 4447, 32001, 50783, 76613, 63919}},
-{13997, 18, 9935, {1, 1, 3, 11, 17, 43, 19, 195, 233, 17, 1855, 1227, 3435, 4313, 6417, 51019, 130091, 124947}},
-{13998, 18, 9937, {1, 1, 7, 9, 19, 9, 95, 87, 297, 817, 1217, 3637, 2371, 7073, 387, 62121, 43507, 93927}},
-{13999, 18, 9974, {1, 3, 5, 13, 1, 15, 29, 123, 137, 425, 531, 2659, 2077, 1345, 2803, 49469, 29031, 170825}},
-{14000, 18, 9980, {1, 1, 5, 7, 15, 13, 119, 231, 139, 673, 1105, 2355, 3023, 4437, 17491, 47367, 12751, 183319}},
-{14001, 18, 10003, {1, 1, 5, 15, 19, 5, 125, 121, 509, 539, 473, 2087, 4421, 4205, 23457, 34481, 111231, 145035}},
-{14002, 18, 10015, {1, 3, 7, 5, 23, 21, 85, 23, 415, 715, 1579, 3447, 2373, 233, 19401, 54869, 15977, 138119}},
-{14003, 18, 10016, {1, 1, 3, 11, 21, 1, 37, 127, 101, 943, 79, 2119, 5679, 10749, 16209, 16715, 29421, 259735}},
-{14004, 18, 10066, {1, 3, 7, 7, 23, 25, 1, 73, 505, 979, 535, 87, 4165, 9353, 20075, 57597, 74651, 22133}},
-{14005, 18, 10093, {1, 1, 7, 3, 11, 19, 75, 213, 293, 15, 1981, 1259, 5455, 2897, 18861, 6317, 10339, 123967}},
-{14006, 18, 10118, {1, 3, 1, 3, 29, 5, 93, 169, 51, 519, 1649, 2789, 1251, 8359, 11489, 62443, 91549, 148357}},
-{14007, 18, 10132, {1, 3, 3, 13, 5, 47, 39, 163, 341, 755, 737, 2335, 2389, 8351, 26193, 58111, 18425, 129313}},
-{14008, 18, 10135, {1, 1, 3, 1, 31, 49, 101, 69, 345, 291, 1257, 1801, 1613, 1479, 4403, 21307, 44947, 68591}},
-{14009, 18, 10151, {1, 3, 3, 9, 5, 23, 65, 65, 187, 709, 883, 2199, 1037, 8679, 31527, 23561, 92225, 254215}},
-{14010, 18, 10158, {1, 3, 7, 7, 23, 13, 87, 209, 163, 705, 1199, 3007, 5469, 2453, 2691, 17841, 97045, 174149}},
-{14011, 18, 10169, {1, 1, 1, 9, 5, 35, 21, 91, 145, 559, 131, 3911, 1777, 8225, 6077, 58223, 100827, 3641}},
-{14012, 18, 10172, {1, 1, 5, 5, 7, 5, 31, 189, 117, 785, 1493, 3899, 471, 10971, 4607, 21063, 67225, 195367}},
-{14013, 18, 10180, {1, 1, 7, 5, 31, 61, 63, 163, 417, 655, 2033, 1255, 1139, 6867, 28655, 55295, 100519, 166629}},
-{14014, 18, 10187, {1, 3, 3, 3, 7, 35, 83, 55, 7, 607, 253, 915, 6801, 7505, 15929, 16829, 78469, 150947}},
-{14015, 18, 10189, {1, 3, 3, 9, 29, 3, 127, 235, 347, 3, 193, 1547, 8073, 14963, 20351, 28951, 53855, 261375}},
-{14016, 18, 10192, {1, 1, 7, 3, 31, 19, 75, 87, 23, 419, 75, 1677, 2371, 8875, 31993, 4465, 76085, 86499}},
-{14017, 18, 10197, {1, 3, 5, 7, 1, 51, 47, 161, 415, 521, 1099, 1295, 2545, 15167, 13983, 7347, 60631, 4089}},
-{14018, 18, 10211, {1, 1, 1, 9, 7, 59, 71, 187, 441, 273, 769, 2649, 3261, 12661, 23045, 32035, 104573, 120589}},
-{14019, 18, 10214, {1, 3, 7, 13, 23, 51, 113, 205, 443, 291, 475, 2961, 7615, 105, 22099, 6045, 22667, 65515}},
-{14020, 18, 10256, {1, 1, 5, 11, 1, 1, 23, 231, 413, 371, 1285, 2695, 2751, 4235, 15779, 1903, 24469, 259157}},
-{14021, 18, 10278, {1, 3, 3, 7, 7, 47, 87, 105, 311, 251, 573, 3221, 5757, 11107, 11161, 8809, 14467, 33153}},
-{14022, 18, 10290, {1, 1, 7, 1, 31, 49, 51, 31, 305, 315, 547, 1159, 2741, 3773, 13299, 40115, 62523, 108487}},
-{14023, 18, 10301, {1, 3, 1, 11, 11, 43, 33, 213, 107, 467, 1509, 4081, 4723, 2409, 1447, 42759, 64717, 161991}},
-{14024, 18, 10310, {1, 3, 7, 3, 31, 23, 25, 159, 95, 721, 1981, 3659, 4819, 10119, 25451, 10165, 31281, 238319}},
-{14025, 18, 10344, {1, 3, 1, 5, 19, 27, 67, 125, 481, 585, 43, 3697, 4997, 581, 6439, 33477, 115023, 51759}},
-{14026, 18, 10473, {1, 3, 7, 7, 15, 53, 89, 173, 369, 365, 91, 1583, 4611, 7189, 30383, 47397, 73657, 158695}},
-{14027, 18, 10474, {1, 1, 1, 15, 1, 21, 125, 13, 243, 729, 1397, 2451, 3233, 15593, 2815, 56215, 22685, 167343}},
-{14028, 18, 10482, {1, 3, 1, 13, 13, 29, 119, 223, 51, 695, 273, 2381, 4431, 4891, 29875, 49511, 111003, 174413}},
-{14029, 18, 10499, {1, 3, 3, 15, 9, 13, 19, 177, 371, 957, 255, 115, 4701, 6089, 7237, 17077, 87949, 3111}},
-{14030, 18, 10525, {1, 1, 7, 11, 29, 49, 59, 201, 145, 219, 1159, 3863, 715, 10489, 25883, 56445, 122103, 149877}},
-{14031, 18, 10532, {1, 3, 1, 13, 15, 51, 91, 109, 433, 45, 2045, 3121, 1109, 14713, 2667, 40463, 52185, 64743}},
-{14032, 18, 10535, {1, 3, 3, 7, 21, 31, 7, 155, 347, 305, 1557, 1311, 3315, 1363, 403, 62063, 114195, 44623}},
-{14033, 18, 10556, {1, 3, 5, 11, 9, 11, 11, 245, 49, 21, 239, 3043, 3525, 1055, 21891, 19153, 123689, 170195}},
-{14034, 18, 10568, {1, 1, 1, 11, 17, 51, 83, 249, 483, 489, 1063, 469, 6153, 15551, 13783, 27945, 103775, 68175}},
-{14035, 18, 10579, {1, 3, 3, 13, 11, 61, 107, 113, 503, 819, 1593, 2851, 6711, 14623, 3709, 10931, 8743, 62321}},
-{14036, 18, 10586, {1, 1, 5, 15, 5, 37, 23, 131, 329, 499, 1765, 1273, 819, 11573, 3307, 46933, 22087, 173459}},
-{14037, 18, 10609, {1, 1, 1, 3, 31, 5, 49, 57, 239, 981, 1863, 3233, 2727, 7389, 7923, 63259, 62873, 113607}},
-{14038, 18, 10612, {1, 1, 7, 7, 11, 27, 119, 137, 115, 211, 1239, 2153, 2579, 11501, 747, 31141, 129793, 151589}},
-{14039, 18, 10650, {1, 3, 3, 9, 9, 55, 121, 199, 91, 835, 521, 2433, 8123, 2045, 32553, 48993, 9935, 220537}},
-{14040, 18, 10665, {1, 3, 7, 11, 15, 57, 53, 145, 299, 623, 691, 1557, 785, 15851, 27075, 5983, 18043, 22241}},
-{14041, 18, 10685, {1, 1, 3, 1, 1, 57, 57, 195, 381, 913, 167, 333, 5541, 2323, 17001, 34817, 30795, 144051}},
-{14042, 18, 10686, {1, 3, 3, 3, 31, 1, 83, 31, 91, 855, 195, 3449, 8057, 11061, 29089, 1597, 127581, 189033}},
-{14043, 18, 10688, {1, 3, 1, 1, 21, 59, 113, 179, 13, 523, 629, 3693, 7155, 893, 17449, 46535, 18051, 9191}},
-{14044, 18, 10711, {1, 1, 1, 3, 27, 19, 75, 229, 181, 653, 1849, 501, 5871, 14769, 27461, 59193, 115013, 72227}},
-{14045, 18, 10728, {1, 3, 3, 13, 17, 41, 111, 107, 453, 299, 1699, 2871, 2955, 4215, 13919, 19785, 30339, 148445}},
-{14046, 18, 10748, {1, 3, 3, 11, 5, 19, 21, 87, 173, 439, 1651, 2393, 4137, 16285, 16093, 22953, 105663, 226575}},
-{14047, 18, 10751, {1, 3, 5, 7, 19, 61, 101, 251, 295, 89, 1695, 1359, 5797, 8587, 18753, 65223, 51079, 96169}},
-{14048, 18, 10781, {1, 1, 1, 5, 3, 1, 79, 63, 221, 601, 1385, 1963, 4601, 15217, 4861, 58295, 61043, 88523}},
-{14049, 18, 10805, {1, 3, 3, 7, 31, 63, 73, 177, 455, 487, 1009, 2103, 4753, 3143, 10121, 36509, 24753, 230869}},
-{14050, 18, 10823, {1, 1, 5, 1, 17, 27, 103, 63, 475, 665, 1189, 3513, 89, 2669, 1227, 20635, 121549, 248851}},
-{14051, 18, 10838, {1, 1, 3, 7, 25, 19, 117, 243, 337, 207, 903, 3751, 3309, 11955, 12651, 25359, 83419, 19701}},
-{14052, 18, 10857, {1, 1, 7, 15, 19, 21, 3, 235, 289, 185, 1175, 2291, 4003, 7753, 4775, 65321, 48957, 220261}},
-{14053, 18, 10865, {1, 3, 5, 11, 23, 21, 107, 65, 117, 329, 1085, 3555, 1183, 15241, 32663, 50985, 66753, 38023}},
-{14054, 18, 10872, {1, 1, 7, 9, 11, 49, 65, 17, 291, 435, 1221, 3829, 5467, 5181, 19891, 7091, 80673, 90495}},
-{14055, 18, 10893, {1, 1, 1, 15, 17, 47, 119, 173, 297, 477, 859, 3661, 8081, 8257, 20841, 55123, 11231, 193669}},
-{14056, 18, 10899, {1, 1, 7, 7, 27, 11, 119, 109, 199, 727, 1569, 3749, 4067, 11675, 30213, 58091, 64303, 92785}},
-{14057, 18, 10917, {1, 3, 7, 15, 15, 39, 101, 149, 299, 449, 1017, 723, 7731, 7929, 22465, 61583, 69851, 150507}},
-{14058, 18, 10935, {1, 3, 5, 15, 5, 13, 97, 127, 21, 673, 353, 3885, 5761, 11443, 10089, 23701, 85879, 42217}},
-{14059, 18, 11001, {1, 3, 1, 5, 27, 55, 31, 167, 69, 453, 925, 555, 5135, 2759, 27077, 14497, 94333, 108729}},
-{14060, 18, 11072, {1, 1, 7, 15, 11, 55, 9, 241, 55, 611, 149, 2605, 653, 1631, 15059, 6349, 12321, 124561}},
-{14061, 18, 11089, {1, 1, 1, 9, 3, 11, 95, 67, 443, 103, 1687, 2667, 4567, 4271, 15601, 27859, 4757, 53289}},
-{14062, 18, 11090, {1, 1, 5, 9, 23, 21, 1, 125, 105, 975, 1879, 1821, 5273, 7079, 25009, 10471, 29119, 73249}},
-{14063, 18, 11108, {1, 1, 7, 1, 31, 61, 17, 23, 485, 565, 1325, 1559, 4131, 751, 2071, 4719, 15925, 101207}},
-{14064, 18, 11117, {1, 1, 5, 5, 13, 53, 13, 93, 149, 139, 1429, 3605, 3545, 11193, 14139, 6093, 115727, 183105}},
-{14065, 18, 11136, {1, 1, 1, 7, 15, 37, 51, 77, 177, 967, 405, 563, 3047, 8499, 26787, 27609, 23613, 239679}},
-{14066, 18, 11148, {1, 1, 1, 5, 27, 37, 1, 129, 197, 133, 1329, 3673, 3143, 1059, 19209, 39027, 43787, 42821}},
-{14067, 18, 11153, {1, 3, 7, 5, 5, 47, 105, 121, 219, 777, 1569, 1359, 1955, 13207, 14895, 7829, 40499, 182911}},
-{14068, 18, 11181, {1, 3, 5, 7, 11, 41, 41, 155, 245, 383, 405, 2415, 5809, 5117, 31523, 16927, 76785, 113731}},
-{14069, 18, 11190, {1, 3, 3, 9, 9, 21, 13, 197, 409, 931, 305, 1129, 865, 12961, 5239, 35823, 82565, 226765}},
-{14070, 18, 11201, {1, 1, 5, 3, 17, 27, 59, 79, 359, 601, 979, 1355, 1657, 10479, 4741, 36391, 111527, 105139}},
-{14071, 18, 11204, {1, 3, 5, 9, 13, 43, 31, 1, 309, 723, 1049, 803, 1653, 2551, 26317, 49731, 67799, 129225}},
-{14072, 18, 11216, {1, 1, 5, 3, 1, 39, 95, 243, 499, 809, 1515, 981, 585, 7907, 16801, 43381, 117537, 99787}},
-{14073, 18, 11237, {1, 1, 5, 5, 25, 23, 15, 127, 33, 799, 647, 2923, 7805, 2681, 14773, 42751, 106861, 119657}},
-{14074, 18, 11259, {1, 3, 1, 1, 1, 47, 11, 179, 179, 659, 1061, 2511, 3601, 7107, 27887, 48427, 40559, 106043}},
-{14075, 18, 11279, {1, 1, 7, 11, 5, 33, 115, 195, 431, 383, 1571, 3485, 5741, 5775, 14891, 26389, 71723, 198861}},
-{14076, 18, 11282, {1, 1, 5, 5, 11, 55, 37, 57, 381, 607, 2017, 1981, 6113, 3771, 8827, 13335, 88587, 102791}},
-{14077, 18, 11304, {1, 1, 1, 11, 29, 23, 73, 149, 405, 581, 721, 281, 5315, 4675, 13013, 39003, 20335, 109855}},
-{14078, 18, 11312, {1, 1, 7, 15, 17, 57, 39, 51, 403, 979, 1543, 1235, 797, 5949, 26647, 15125, 33255, 152861}},
-{14079, 18, 11332, {1, 1, 5, 3, 25, 27, 7, 147, 257, 163, 1297, 2289, 693, 7771, 6341, 22323, 1653, 177669}},
-{14080, 18, 11341, {1, 1, 3, 9, 1, 39, 47, 231, 15, 705, 897, 3943, 6281, 6679, 21695, 29553, 39509, 83135}},
-{14081, 18, 11354, {1, 3, 3, 15, 17, 43, 15, 195, 31, 501, 529, 3117, 6031, 12101, 30687, 52465, 66171, 149591}},
-{14082, 18, 11356, {1, 1, 3, 5, 13, 17, 63, 41, 303, 671, 1225, 1761, 6159, 3203, 23611, 18309, 115027, 116325}},
-{14083, 18, 11365, {1, 1, 5, 13, 17, 5, 97, 155, 479, 525, 1403, 4063, 8167, 6443, 20627, 41399, 26897, 102841}},
-{14084, 18, 11377, {1, 3, 5, 9, 9, 27, 59, 177, 453, 659, 765, 431, 4209, 12679, 10719, 22473, 81597, 20057}},
-{14085, 18, 11417, {1, 3, 3, 1, 3, 37, 91, 97, 159, 845, 519, 2603, 6979, 6711, 29781, 53639, 103357, 111671}},
-{14086, 18, 11427, {1, 1, 3, 3, 25, 15, 27, 9, 503, 719, 153, 3071, 281, 5341, 32595, 13069, 6461, 160319}},
-{14087, 18, 11433, {1, 3, 3, 5, 29, 7, 119, 229, 117, 925, 465, 1703, 7277, 10631, 9429, 41011, 45181, 229239}},
-{14088, 18, 11434, {1, 1, 7, 7, 31, 63, 67, 55, 445, 39, 1363, 1369, 1061, 8555, 29263, 47341, 49563, 80445}},
-{14089, 18, 11439, {1, 1, 7, 1, 23, 23, 49, 205, 371, 101, 1963, 2763, 3475, 835, 20371, 51343, 9771, 69713}},
-{14090, 18, 11444, {1, 3, 3, 7, 3, 29, 7, 185, 511, 93, 1077, 3971, 2981, 16367, 12703, 36179, 47755, 42767}},
-{14091, 18, 11448, {1, 1, 1, 11, 27, 47, 43, 39, 129, 337, 1249, 3557, 2871, 13565, 19525, 46263, 49203, 148235}},
-{14092, 18, 11461, {1, 3, 5, 11, 19, 3, 83, 151, 425, 199, 847, 3751, 1729, 12457, 21819, 295, 53627, 17555}},
-{14093, 18, 11466, {1, 1, 3, 5, 7, 43, 21, 221, 93, 785, 1851, 3891, 2103, 5219, 31845, 58943, 42461, 160149}},
-{14094, 18, 11468, {1, 3, 5, 9, 25, 11, 43, 171, 445, 335, 1907, 3401, 815, 10341, 17779, 24895, 7727, 168143}},
-{14095, 18, 11473, {1, 3, 1, 5, 27, 25, 41, 13, 239, 233, 1861, 3409, 4325, 2227, 30197, 59329, 48501, 168799}},
-{14096, 18, 11489, {1, 3, 5, 13, 9, 55, 83, 185, 287, 83, 1545, 2803, 2177, 6195, 14455, 30541, 75731, 98915}},
-{14097, 18, 11499, {1, 3, 3, 5, 25, 19, 5, 203, 303, 703, 1861, 3867, 2683, 8223, 11107, 54785, 106053, 135543}},
-{14098, 18, 11516, {1, 1, 1, 13, 19, 7, 11, 197, 303, 541, 977, 2083, 4739, 7971, 2245, 11029, 77333, 16573}},
-{14099, 18, 11531, {1, 1, 1, 3, 11, 33, 77, 59, 283, 791, 365, 4027, 487, 10559, 4543, 58111, 91861, 102905}},
-{14100, 18, 11533, {1, 3, 7, 7, 15, 3, 19, 51, 339, 377, 929, 693, 1617, 14057, 7107, 27181, 7411, 202843}},
-{14101, 18, 11557, {1, 3, 3, 9, 19, 9, 73, 109, 333, 917, 1227, 2871, 4893, 11029, 5619, 27091, 9381, 213403}},
-{14102, 18, 11572, {1, 1, 1, 9, 9, 13, 77, 131, 163, 619, 169, 315, 1277, 13705, 16853, 1179, 86433, 135427}},
-{14103, 18, 11608, {1, 3, 5, 9, 15, 47, 57, 119, 325, 529, 893, 2395, 5159, 5481, 18689, 6457, 114733, 159999}},
-{14104, 18, 11635, {1, 3, 7, 5, 15, 9, 113, 235, 475, 93, 495, 2983, 2769, 5209, 7481, 49699, 46961, 246393}},
-{14105, 18, 11638, {1, 1, 7, 1, 5, 31, 113, 27, 359, 635, 955, 2795, 6289, 11621, 11059, 2259, 57443, 243143}},
-{14106, 18, 11644, {1, 3, 3, 13, 19, 33, 53, 141, 437, 415, 919, 1375, 2703, 13731, 31559, 14115, 50101, 85199}},
-{14107, 18, 11684, {1, 1, 7, 13, 27, 57, 111, 89, 89, 313, 1107, 4049, 2485, 269, 10197, 36995, 71381, 112795}},
-{14108, 18, 11702, {1, 1, 3, 7, 17, 23, 119, 123, 145, 213, 1273, 1707, 4005, 13815, 23495, 36359, 14391, 94287}},
-{14109, 18, 11740, {1, 1, 7, 1, 5, 49, 81, 193, 105, 1003, 413, 2975, 1725, 5647, 25447, 43501, 4431, 115489}},
-{14110, 18, 11749, {1, 3, 1, 5, 29, 13, 47, 37, 441, 955, 611, 853, 7225, 4959, 8739, 31703, 48095, 124085}},
-{14111, 18, 11754, {1, 1, 5, 15, 31, 9, 125, 53, 229, 631, 1031, 3923, 4417, 12637, 22093, 46985, 103417, 193443}},
-{14112, 18, 11764, {1, 1, 7, 1, 7, 9, 77, 11, 451, 615, 1259, 3097, 1513, 13641, 26845, 17399, 63661, 9231}},
-{14113, 18, 11767, {1, 1, 7, 13, 25, 47, 125, 1, 333, 599, 1133, 3527, 7451, 2849, 27227, 40015, 118185, 24737}},
-{14114, 18, 11784, {1, 1, 5, 5, 31, 15, 85, 37, 121, 677, 593, 2757, 739, 839, 3939, 36339, 116663, 955}},
-{14115, 18, 11789, {1, 3, 1, 11, 19, 13, 87, 109, 149, 215, 1811, 3813, 7699, 16189, 12841, 52081, 104545, 245819}},
-{14116, 18, 11795, {1, 1, 7, 3, 31, 17, 99, 23, 377, 131, 821, 1167, 4437, 15727, 20753, 8163, 43719, 7243}},
-{14117, 18, 11798, {1, 3, 7, 13, 21, 5, 5, 167, 9, 1009, 1013, 797, 6145, 2855, 19969, 59887, 3419, 238661}},
-{14118, 18, 11804, {1, 1, 7, 1, 5, 39, 47, 91, 185, 139, 959, 3149, 3423, 8909, 2045, 18187, 71935, 238605}},
-{14119, 18, 11818, {1, 3, 5, 11, 29, 63, 105, 43, 27, 221, 879, 181, 1499, 10343, 27135, 823, 4893, 101707}},
-{14120, 18, 11820, {1, 3, 5, 11, 5, 13, 59, 83, 315, 999, 1205, 939, 3661, 3081, 15551, 13791, 49027, 26843}},
-{14121, 18, 11860, {1, 1, 1, 5, 3, 57, 105, 169, 123, 463, 1471, 445, 743, 13353, 17661, 23437, 35451, 115919}},
-{14122, 18, 11869, {1, 1, 5, 11, 9, 3, 41, 63, 501, 861, 153, 1591, 1379, 5189, 24483, 8073, 43319, 248959}},
-{14123, 18, 11874, {1, 1, 7, 3, 29, 45, 51, 177, 1, 961, 1493, 2179, 3723, 1923, 1517, 44823, 81613, 194641}},
-{14124, 18, 11903, {1, 1, 5, 11, 17, 17, 61, 141, 5, 529, 379, 2509, 1487, 13141, 10877, 18603, 40569, 69639}},
-{14125, 18, 11916, {1, 1, 5, 15, 1, 15, 33, 219, 269, 557, 7, 3627, 183, 6975, 4627, 15235, 51863, 172393}},
-{14126, 18, 11927, {1, 3, 7, 9, 1, 37, 13, 75, 151, 153, 1693, 2835, 3093, 8847, 6721, 44135, 128931, 230745}},
-{14127, 18, 11933, {1, 1, 3, 13, 29, 63, 33, 153, 503, 137, 401, 2315, 2223, 10843, 4235, 37295, 103249, 183899}},
-{14128, 18, 11962, {1, 1, 7, 11, 15, 25, 49, 55, 39, 13, 269, 3119, 3445, 8265, 16781, 57239, 97489, 204841}},
-{14129, 18, 12009, {1, 1, 1, 1, 25, 57, 117, 199, 41, 351, 477, 1891, 7913, 14439, 25305, 64811, 57731, 184265}},
-{14130, 18, 12020, {1, 3, 3, 1, 13, 41, 33, 53, 381, 31, 1861, 2207, 1497, 15539, 23589, 53215, 36887, 134007}},
-{14131, 18, 12035, {1, 1, 5, 7, 15, 37, 13, 99, 17, 325, 643, 2943, 7967, 11531, 21301, 5125, 63201, 101203}},
-{14132, 18, 12041, {1, 1, 7, 11, 23, 21, 119, 151, 457, 929, 1917, 3123, 1133, 11861, 27889, 40421, 90949, 113237}},
-{14133, 18, 12049, {1, 3, 5, 9, 13, 35, 111, 83, 371, 589, 1507, 3559, 773, 5895, 31453, 40865, 124103, 250473}},
-{14134, 18, 12065, {1, 3, 3, 15, 11, 7, 93, 163, 285, 763, 2023, 1047, 3349, 13575, 22571, 21513, 56081, 204765}},
-{14135, 18, 12072, {1, 3, 3, 5, 19, 19, 47, 25, 49, 717, 1155, 3901, 407, 2699, 30961, 55647, 96043, 185559}},
-{14136, 18, 12098, {1, 1, 1, 7, 29, 1, 49, 87, 311, 435, 1235, 1041, 6595, 1639, 32495, 44245, 6593, 236331}},
-{14137, 18, 12100, {1, 3, 7, 9, 27, 13, 1, 41, 75, 953, 1635, 101, 7231, 13019, 14773, 17315, 120993, 111215}},
-{14138, 18, 12107, {1, 1, 5, 9, 23, 31, 87, 47, 83, 791, 1239, 1453, 5459, 4847, 7285, 32667, 45991, 103593}},
-{14139, 18, 12167, {1, 3, 1, 3, 27, 47, 97, 191, 5, 961, 1191, 3897, 6821, 4257, 22047, 31557, 52603, 251405}},
-{14140, 18, 12202, {1, 1, 5, 3, 23, 45, 103, 115, 287, 47, 93, 2761, 6467, 14031, 21881, 31631, 47605, 237635}},
-{14141, 18, 12207, {1, 3, 7, 15, 23, 41, 63, 239, 115, 655, 1949, 1969, 3145, 91, 16735, 49295, 117995, 40537}},
-{14142, 18, 12233, {1, 1, 7, 11, 5, 25, 99, 247, 11, 707, 1497, 785, 6055, 8521, 12179, 56363, 110131, 55449}},
-{14143, 18, 12269, {1, 1, 1, 7, 5, 31, 99, 7, 285, 281, 1207, 1173, 7637, 9595, 31413, 16597, 96157, 39059}},
-{14144, 18, 12290, {1, 3, 7, 7, 3, 49, 79, 69, 57, 523, 65, 2785, 2907, 11295, 16199, 25845, 51801, 67417}},
-{14145, 18, 12304, {1, 1, 3, 1, 1, 53, 57, 117, 1, 927, 1787, 3059, 7441, 14663, 10881, 2225, 29375, 93717}},
-{14146, 18, 12314, {1, 1, 5, 5, 29, 17, 67, 35, 475, 367, 155, 3463, 2339, 6239, 31073, 56169, 130309, 28981}},
-{14147, 18, 12340, {1, 1, 1, 5, 7, 53, 61, 105, 355, 817, 869, 2863, 6041, 11459, 4151, 61115, 100689, 32917}},
-{14148, 18, 12416, {1, 3, 5, 11, 31, 11, 33, 105, 437, 767, 101, 2979, 3911, 4859, 15551, 23545, 10705, 6271}},
-{14149, 18, 12425, {1, 1, 7, 5, 1, 17, 109, 205, 409, 893, 889, 2181, 6167, 14273, 25389, 50279, 5497, 191755}},
-{14150, 18, 12428, {1, 3, 7, 15, 29, 11, 79, 101, 123, 399, 1159, 1263, 3513, 13169, 2199, 41057, 98639, 227107}},
-{14151, 18, 12446, {1, 1, 3, 11, 13, 31, 51, 119, 257, 829, 337, 3267, 7673, 15459, 26681, 4041, 89429, 198607}},
-{14152, 18, 12462, {1, 3, 7, 11, 23, 29, 49, 159, 327, 415, 857, 2411, 2429, 11839, 20263, 61813, 31811, 225443}},
-{14153, 18, 12476, {1, 1, 3, 11, 7, 61, 61, 119, 431, 299, 1815, 2857, 7605, 7517, 15137, 13727, 73021, 199325}},
-{14154, 18, 12496, {1, 1, 7, 3, 5, 19, 51, 19, 59, 637, 591, 2999, 5997, 13487, 807, 4887, 112189, 226597}},
-{14155, 18, 12511, {1, 1, 1, 13, 21, 5, 55, 167, 463, 679, 891, 3597, 785, 7717, 17495, 51681, 55957, 48561}},
-{14156, 18, 12518, {1, 1, 5, 5, 9, 55, 55, 143, 193, 839, 785, 1713, 7457, 11591, 15803, 2479, 124663, 72631}},
-{14157, 18, 12530, {1, 3, 5, 9, 21, 27, 109, 91, 483, 905, 1369, 2573, 7173, 13977, 20131, 17637, 127477, 66457}},
-{14158, 18, 12532, {1, 1, 5, 7, 31, 17, 43, 153, 505, 413, 867, 769, 6947, 10815, 18805, 5957, 27715, 24529}},
-{14159, 18, 12539, {1, 3, 5, 9, 13, 41, 107, 199, 69, 1019, 2037, 3221, 1081, 15051, 6713, 46379, 17223, 85453}},
-{14160, 18, 12567, {1, 3, 3, 7, 23, 51, 45, 133, 227, 373, 1815, 3795, 5567, 7153, 25003, 64951, 75377, 174115}},
-{14161, 18, 12597, {1, 1, 7, 15, 7, 51, 33, 239, 113, 133, 1213, 327, 4841, 11297, 1093, 40013, 60843, 99845}},
-{14162, 18, 12601, {1, 1, 1, 11, 3, 37, 33, 107, 275, 747, 1451, 1787, 5029, 3101, 11575, 36555, 46181, 221643}},
-{14163, 18, 12602, {1, 1, 3, 3, 29, 53, 57, 67, 209, 153, 345, 2897, 5657, 8907, 14159, 9899, 102487, 237721}},
-{14164, 18, 12622, {1, 3, 1, 7, 7, 59, 17, 151, 423, 903, 2035, 861, 1057, 2399, 28547, 3659, 29583, 100651}},
-{14165, 18, 12693, {1, 1, 5, 15, 27, 53, 101, 17, 405, 869, 1253, 1923, 999, 7787, 23621, 4351, 48611, 47129}},
-{14166, 18, 12707, {1, 3, 7, 11, 13, 43, 61, 161, 43, 831, 2021, 579, 5353, 12451, 32261, 39885, 90051, 34407}},
-{14167, 18, 12713, {1, 1, 1, 5, 25, 19, 37, 33, 37, 59, 1399, 1587, 1517, 4261, 31215, 33777, 50447, 87049}},
-{14168, 18, 12716, {1, 1, 3, 1, 19, 17, 113, 31, 385, 135, 143, 3997, 1365, 2625, 22591, 8887, 31353, 240603}},
-{14169, 18, 12734, {1, 3, 7, 11, 21, 7, 55, 171, 233, 1007, 1321, 2903, 2457, 3941, 19667, 49115, 99119, 185989}},
-{14170, 18, 12763, {1, 3, 7, 9, 3, 31, 83, 99, 303, 443, 99, 2285, 1491, 15897, 21735, 1575, 74449, 59615}},
-{14171, 18, 12765, {1, 3, 1, 5, 29, 37, 125, 213, 277, 115, 255, 137, 6071, 13561, 23871, 48129, 120211, 168603}},
-{14172, 18, 12799, {1, 1, 7, 3, 9, 21, 93, 239, 399, 21, 9, 409, 3403, 9517, 6421, 17121, 65697, 251985}},
-{14173, 18, 12843, {1, 1, 1, 15, 27, 35, 17, 113, 471, 357, 1703, 871, 1803, 3495, 27437, 48343, 86425, 155245}},
-{14174, 18, 12853, {1, 3, 7, 11, 19, 45, 51, 195, 345, 77, 1403, 2527, 3405, 14057, 31965, 17375, 35107, 246545}},
-{14175, 18, 12865, {1, 3, 5, 7, 7, 5, 115, 39, 51, 261, 1883, 1793, 3423, 3613, 20399, 27267, 99875, 119719}},
-{14176, 18, 12866, {1, 3, 3, 9, 21, 23, 65, 69, 261, 79, 151, 3387, 7789, 13275, 30135, 52229, 40787, 181297}},
-{14177, 18, 12919, {1, 1, 5, 13, 19, 49, 111, 125, 433, 99, 1673, 2091, 5447, 9377, 9085, 4659, 75121, 105809}},
-{14178, 18, 12926, {1, 3, 7, 1, 3, 27, 107, 109, 245, 431, 1727, 3269, 2099, 10777, 21843, 63377, 47343, 126269}},
-{14179, 18, 12936, {1, 3, 1, 15, 7, 17, 107, 153, 37, 287, 1873, 573, 5025, 3735, 32545, 35693, 38083, 89569}},
-{14180, 18, 12944, {1, 3, 1, 3, 9, 51, 99, 247, 45, 703, 1231, 1895, 6309, 12137, 14697, 25441, 129701, 198811}},
-{14181, 18, 12959, {1, 3, 3, 11, 5, 43, 1, 31, 359, 563, 1013, 3475, 3935, 7855, 10085, 15279, 25109, 225643}},
-{14182, 18, 12965, {1, 3, 3, 3, 9, 47, 49, 193, 223, 23, 391, 847, 7233, 14955, 10645, 50535, 5415, 119791}},
-{14183, 18, 12980, {1, 3, 1, 7, 3, 7, 57, 189, 219, 287, 401, 1767, 5585, 13983, 18485, 56725, 71905, 33779}},
-{14184, 18, 13004, {1, 3, 5, 15, 23, 17, 115, 223, 35, 263, 345, 3459, 857, 1467, 30255, 50127, 72985, 62509}},
-{14185, 18, 13016, {1, 3, 1, 9, 3, 27, 125, 43, 47, 183, 1421, 319, 4273, 10701, 21761, 23947, 22531, 10855}},
-{14186, 18, 13019, {1, 1, 3, 15, 13, 55, 77, 1, 295, 841, 1115, 4093, 7993, 13309, 24851, 35411, 105201, 188543}},
-{14187, 18, 13037, {1, 3, 3, 5, 19, 39, 101, 19, 225, 997, 1999, 407, 3147, 15393, 30379, 26221, 21685, 114167}},
-{14188, 18, 13055, {1, 3, 3, 3, 23, 15, 3, 57, 45, 381, 47, 1839, 5491, 6775, 18477, 51443, 757, 183111}},
-{14189, 18, 13063, {1, 3, 3, 7, 31, 27, 107, 229, 1, 977, 125, 1137, 4873, 14381, 8705, 64641, 38447, 239887}},
-{14190, 18, 13098, {1, 1, 3, 13, 9, 35, 49, 187, 459, 407, 1677, 2007, 1091, 12385, 8911, 38221, 108681, 171641}},
-{14191, 18, 13103, {1, 1, 3, 5, 7, 61, 115, 155, 437, 829, 1041, 2191, 1489, 1269, 27613, 48713, 40095, 206057}},
-{14192, 18, 13106, {1, 3, 7, 1, 23, 1, 17, 215, 363, 119, 845, 987, 5619, 5857, 11307, 63171, 76921, 201767}},
-{14193, 18, 13115, {1, 1, 7, 9, 29, 23, 63, 247, 37, 199, 103, 1215, 913, 12865, 24089, 35101, 117677, 261393}},
-{14194, 18, 13143, {1, 1, 1, 1, 3, 19, 7, 159, 183, 275, 467, 3629, 6575, 3351, 26955, 29247, 119007, 67895}},
-{14195, 18, 13144, {1, 1, 7, 13, 1, 33, 31, 211, 103, 495, 417, 817, 7129, 10169, 11445, 41511, 73101, 185357}},
-{14196, 18, 13153, {1, 1, 3, 5, 3, 27, 99, 1, 425, 295, 131, 835, 1833, 4547, 8777, 29489, 60303, 191437}},
-{14197, 18, 13171, {1, 1, 5, 5, 31, 63, 71, 189, 317, 61, 385, 891, 2257, 8281, 17325, 12207, 125847, 28259}},
-{14198, 18, 13184, {1, 1, 3, 3, 19, 19, 97, 83, 495, 551, 1339, 1699, 3047, 13623, 27731, 28999, 101225, 146139}},
-{14199, 18, 13193, {1, 3, 5, 7, 25, 9, 37, 73, 239, 47, 583, 3337, 1329, 79, 30109, 12451, 10163, 62943}},
-{14200, 18, 13199, {1, 1, 3, 1, 9, 1, 31, 181, 231, 441, 1241, 233, 6049, 2401, 9867, 58911, 20599, 26321}},
-{14201, 18, 13207, {1, 3, 1, 15, 21, 43, 21, 43, 273, 865, 79, 2069, 3375, 16069, 12355, 56355, 9735, 243719}},
-{14202, 18, 13217, {1, 3, 5, 11, 13, 21, 5, 73, 423, 761, 1947, 2935, 3931, 5573, 83, 58251, 113115, 245767}},
-{14203, 18, 13227, {1, 3, 7, 7, 15, 49, 73, 211, 309, 635, 1257, 2185, 7151, 11959, 26885, 45955, 103503, 161709}},
-{14204, 18, 13232, {1, 3, 1, 15, 31, 53, 29, 35, 343, 87, 1833, 2483, 1847, 4709, 6105, 21961, 106541, 46741}},
-{14205, 18, 13276, {1, 1, 7, 7, 21, 43, 41, 51, 29, 521, 713, 3693, 483, 11777, 10453, 43691, 97585, 133193}},
-{14206, 18, 13283, {1, 3, 3, 11, 5, 45, 3, 179, 183, 255, 1291, 1795, 5721, 10911, 18395, 64349, 23141, 99481}},
-{14207, 18, 13307, {1, 1, 1, 5, 5, 25, 61, 169, 475, 953, 617, 559, 5945, 16377, 30063, 30079, 83305, 81745}},
-{14208, 18, 13317, {1, 1, 5, 11, 29, 59, 113, 37, 153, 807, 135, 2639, 4535, 7079, 6387, 63523, 89669, 198803}},
-{14209, 18, 13330, {1, 1, 7, 7, 19, 23, 71, 51, 165, 733, 1427, 2473, 331, 5027, 9299, 20617, 126775, 91619}},
-{14210, 18, 13345, {1, 3, 5, 7, 31, 35, 117, 235, 29, 677, 1243, 281, 6287, 535, 4783, 37781, 130929, 14193}},
-{14211, 18, 13363, {1, 1, 5, 3, 25, 1, 29, 109, 289, 631, 41, 361, 5537, 9657, 7475, 63749, 50325, 169791}},
-{14212, 18, 13387, {1, 3, 3, 15, 21, 53, 85, 43, 341, 907, 475, 3257, 2541, 10397, 30847, 63681, 121427, 192135}},
-{14213, 18, 13426, {1, 1, 1, 1, 9, 59, 59, 233, 335, 345, 1749, 4007, 1833, 7789, 21015, 48939, 15967, 201321}},
-{14214, 18, 13428, {1, 1, 1, 5, 11, 9, 101, 243, 391, 1003, 1019, 311, 3707, 10223, 21627, 8237, 53861, 159785}},
-{14215, 18, 13431, {1, 3, 7, 15, 5, 3, 109, 197, 507, 947, 833, 1161, 4021, 5575, 8081, 45381, 112597, 70407}},
-{14216, 18, 13489, {1, 1, 3, 1, 7, 63, 63, 53, 481, 1003, 43, 2503, 2303, 12593, 21403, 2965, 5377, 91491}},
-{14217, 18, 13501, {1, 1, 1, 1, 29, 45, 49, 73, 253, 197, 1245, 1509, 4747, 6207, 28321, 59193, 112687, 83719}},
-{14218, 18, 13533, {1, 1, 7, 3, 11, 51, 23, 83, 185, 643, 1427, 227, 2261, 12521, 27033, 5129, 53111, 34975}},
-{14219, 18, 13589, {1, 1, 7, 3, 5, 41, 55, 175, 447, 603, 723, 2141, 1189, 4921, 16905, 2463, 83641, 247241}},
-{14220, 18, 13600, {1, 3, 3, 13, 5, 11, 95, 59, 391, 319, 1675, 329, 7559, 11585, 28905, 27843, 106667, 15531}},
-{14221, 18, 13603, {1, 3, 3, 3, 27, 17, 103, 115, 447, 657, 267, 2541, 665, 7819, 4155, 32191, 60999, 48737}},
-{14222, 18, 13623, {1, 1, 5, 7, 7, 49, 87, 171, 457, 149, 1699, 4081, 3913, 7889, 29517, 3339, 33139, 8925}},
-{14223, 18, 13665, {1, 1, 1, 9, 11, 51, 87, 115, 429, 505, 1665, 2361, 5811, 1621, 12727, 33703, 52255, 93835}},
-{14224, 18, 13672, {1, 3, 3, 5, 27, 11, 35, 49, 281, 607, 1791, 4065, 5103, 5253, 975, 20353, 38253, 139363}},
-{14225, 18, 13675, {1, 1, 5, 9, 29, 15, 37, 141, 445, 751, 1219, 2217, 7207, 14981, 21113, 3313, 107127, 135567}},
-{14226, 18, 13708, {1, 3, 3, 15, 1, 41, 23, 27, 167, 609, 913, 631, 923, 6939, 9793, 57869, 126577, 145271}},
-{14227, 18, 13713, {1, 1, 3, 7, 27, 47, 127, 5, 213, 575, 559, 2541, 3457, 2903, 19529, 53395, 105353, 212607}},
-{14228, 18, 13720, {1, 3, 1, 13, 27, 41, 31, 111, 371, 1019, 241, 2075, 2571, 10739, 28163, 16093, 41127, 69783}},
-{14229, 18, 13730, {1, 1, 5, 1, 21, 9, 15, 141, 287, 675, 1721, 2291, 6587, 7503, 6363, 9109, 33547, 259627}},
-{14230, 18, 13735, {1, 3, 7, 3, 3, 53, 7, 153, 183, 761, 191, 3735, 2619, 11153, 19601, 33855, 82345, 72755}},
-{14231, 18, 13767, {1, 3, 1, 9, 19, 21, 41, 105, 281, 833, 981, 2733, 7179, 14691, 18365, 56283, 53719, 191601}},
-{14232, 18, 13773, {1, 1, 7, 11, 23, 1, 55, 213, 105, 517, 809, 4087, 825, 7011, 15701, 54047, 123831, 49833}},
-{14233, 18, 13792, {1, 1, 7, 13, 27, 9, 111, 57, 357, 95, 1489, 887, 5273, 2833, 8757, 9371, 44637, 94939}},
-{14234, 18, 13843, {1, 1, 3, 5, 1, 17, 43, 31, 509, 353, 401, 1077, 7567, 9657, 15065, 32017, 8491, 214477}},
-{14235, 18, 13891, {1, 1, 1, 15, 7, 59, 41, 99, 101, 845, 1479, 2153, 4281, 12839, 237, 54095, 125873, 57165}},
-{14236, 18, 13946, {1, 3, 7, 13, 5, 17, 1, 249, 309, 351, 709, 3943, 7775, 6449, 26611, 54019, 121015, 213535}},
-{14237, 18, 13967, {1, 1, 1, 5, 7, 25, 33, 149, 291, 777, 161, 2729, 117, 4999, 16781, 23383, 85161, 71689}},
-{14238, 18, 13976, {1, 1, 3, 11, 5, 63, 119, 165, 45, 135, 1723, 811, 1259, 11055, 28625, 37559, 128401, 100715}},
-{14239, 18, 14017, {1, 3, 7, 1, 1, 39, 11, 255, 423, 289, 1359, 2827, 4637, 4089, 26659, 58701, 117403, 133971}},
-{14240, 18, 14030, {1, 1, 7, 1, 25, 9, 127, 121, 147, 831, 17, 3521, 1535, 10931, 17305, 56671, 22425, 157341}},
-{14241, 18, 14041, {1, 3, 1, 15, 5, 55, 95, 95, 169, 497, 739, 2031, 339, 13461, 20619, 24553, 81805, 90789}},
-{14242, 18, 14054, {1, 1, 7, 7, 7, 19, 15, 203, 287, 673, 1033, 3857, 2761, 10835, 11039, 62329, 37893, 6119}},
-{14243, 18, 14058, {1, 1, 3, 11, 19, 35, 55, 9, 399, 443, 583, 89, 2387, 747, 9551, 9907, 96871, 175457}},
-{14244, 18, 14060, {1, 1, 3, 1, 11, 57, 121, 89, 491, 133, 545, 683, 5751, 839, 25975, 44725, 59863, 142671}},
-{14245, 18, 14063, {1, 1, 3, 1, 23, 1, 111, 177, 1, 103, 1933, 2783, 6857, 51, 14547, 5945, 14757, 39783}},
-{14246, 18, 14078, {1, 3, 7, 13, 25, 13, 51, 247, 325, 361, 1225, 15, 1929, 1729, 25293, 59495, 82111, 101809}},
-{14247, 18, 14080, {1, 3, 3, 1, 19, 37, 67, 85, 105, 589, 1273, 2995, 8017, 1613, 22189, 2549, 22671, 72813}},
-{14248, 18, 14089, {1, 3, 7, 9, 15, 41, 25, 43, 411, 663, 387, 2861, 3627, 5839, 733, 53479, 76241, 116763}},
-{14249, 18, 14131, {1, 3, 3, 3, 17, 5, 73, 153, 133, 247, 881, 2853, 6059, 2259, 10181, 63251, 107089, 22579}},
-{14250, 18, 14134, {1, 3, 1, 5, 11, 15, 17, 235, 23, 15, 521, 235, 4137, 12705, 24775, 18197, 56295, 28035}},
-{14251, 18, 14137, {1, 3, 5, 5, 13, 9, 77, 69, 19, 755, 1663, 1499, 1049, 12935, 28835, 55413, 71511, 221223}},
-{14252, 18, 14188, {1, 1, 1, 1, 27, 31, 21, 39, 197, 519, 1621, 3703, 2541, 8865, 21947, 53605, 114551, 205697}},
-{14253, 18, 14215, {1, 1, 1, 13, 11, 53, 41, 245, 495, 275, 385, 3071, 1913, 11135, 8571, 58551, 39049, 5459}},
-{14254, 18, 14222, {1, 3, 5, 5, 11, 63, 25, 173, 57, 441, 1749, 79, 3191, 7733, 13111, 23453, 118399, 101845}},
-{14255, 18, 14249, {1, 1, 3, 11, 29, 25, 119, 39, 65, 623, 517, 1325, 5981, 8381, 32031, 25585, 105537, 214241}},
-{14256, 18, 14292, {1, 3, 5, 9, 21, 43, 13, 69, 109, 311, 1893, 1941, 2491, 7815, 4067, 56749, 33761, 191145}},
-{14257, 18, 14320, {1, 1, 1, 7, 9, 5, 123, 149, 65, 729, 1967, 3089, 3757, 2333, 24587, 36047, 118105, 146277}},
-{14258, 18, 14339, {1, 3, 7, 13, 9, 35, 39, 219, 161, 93, 275, 3619, 353, 14595, 24673, 54753, 117175, 81891}},
-{14259, 18, 14346, {1, 3, 3, 13, 15, 61, 95, 135, 271, 595, 1103, 877, 747, 2535, 7733, 25509, 65673, 62089}},
-{14260, 18, 14353, {1, 3, 3, 5, 21, 21, 67, 5, 373, 377, 61, 2337, 489, 5801, 23203, 42377, 7801, 178095}},
-{14261, 18, 14365, {1, 1, 7, 5, 25, 17, 61, 133, 181, 261, 1627, 1615, 6851, 4763, 30353, 53349, 7545, 66733}},
-{14262, 18, 14384, {1, 3, 5, 7, 29, 3, 85, 231, 121, 669, 1925, 403, 777, 10605, 24125, 60819, 8253, 81209}},
-{14263, 18, 14414, {1, 1, 5, 3, 5, 5, 1, 53, 9, 445, 1339, 2643, 5527, 13757, 9409, 31993, 80845, 97863}},
-{14264, 18, 14428, {1, 1, 7, 13, 29, 49, 97, 89, 319, 349, 1739, 3615, 1113, 11791, 17429, 37195, 1159, 32211}},
-{14265, 18, 14435, {1, 3, 5, 11, 9, 61, 109, 167, 119, 499, 1157, 3615, 5773, 8839, 27915, 47837, 14945, 187225}},
-{14266, 18, 14483, {1, 1, 5, 1, 9, 3, 7, 179, 323, 279, 43, 1337, 4813, 9917, 2033, 34657, 130769, 208089}},
-{14267, 18, 14486, {1, 1, 3, 1, 31, 57, 57, 73, 21, 661, 1861, 1661, 7619, 12155, 23123, 49751, 130697, 74143}},
-{14268, 18, 14506, {1, 3, 3, 13, 11, 61, 95, 75, 227, 491, 463, 597, 2721, 12323, 26195, 53657, 44413, 68965}},
-{14269, 18, 14513, {1, 1, 7, 11, 5, 51, 103, 123, 203, 911, 203, 1641, 7009, 9479, 303, 37649, 32751, 172777}},
-{14270, 18, 14520, {1, 1, 3, 7, 11, 59, 111, 5, 271, 863, 269, 3457, 489, 10877, 8645, 62567, 24893, 201587}},
-{14271, 18, 14526, {1, 1, 5, 7, 29, 23, 127, 151, 371, 121, 1103, 3951, 3107, 15563, 6243, 1631, 75065, 107681}},
-{14272, 18, 14528, {1, 1, 7, 15, 27, 45, 43, 83, 461, 673, 715, 3245, 313, 13731, 21981, 58853, 46569, 165463}},
-{14273, 18, 14533, {1, 1, 1, 9, 7, 53, 63, 43, 3, 187, 1325, 447, 5113, 4993, 21807, 24329, 4499, 30067}},
-{14274, 18, 14576, {1, 3, 1, 9, 21, 45, 111, 231, 407, 213, 1977, 2269, 2323, 4595, 30427, 54753, 95049, 195409}},
-{14275, 18, 14599, {1, 1, 1, 9, 29, 43, 89, 201, 499, 329, 847, 3831, 5403, 13001, 6037, 14371, 25805, 169237}},
-{14276, 18, 14613, {1, 1, 1, 11, 29, 61, 61, 203, 91, 189, 1603, 939, 6575, 3195, 4731, 44923, 33627, 21683}},
-{14277, 18, 14639, {1, 3, 3, 11, 7, 57, 93, 181, 479, 99, 681, 2875, 7649, 5555, 27087, 6841, 69859, 153689}},
-{14278, 18, 14644, {1, 1, 1, 9, 17, 45, 97, 47, 91, 879, 1463, 3041, 2917, 769, 13675, 26489, 88559, 120991}},
-{14279, 18, 14653, {1, 3, 7, 1, 11, 13, 43, 9, 483, 399, 793, 3965, 2375, 4957, 17747, 50905, 56987, 231265}},
-{14280, 18, 14662, {1, 3, 3, 13, 23, 45, 69, 67, 397, 437, 1993, 2569, 8035, 8531, 27623, 53567, 123189, 242515}},
-{14281, 18, 14695, {1, 1, 1, 3, 5, 9, 21, 227, 499, 205, 431, 3711, 5307, 15773, 11337, 6349, 123507, 95941}},
-{14282, 18, 14704, {1, 3, 7, 1, 13, 15, 101, 91, 209, 611, 537, 1427, 101, 2619, 10513, 44323, 92745, 249127}},
-{14283, 18, 14713, {1, 3, 3, 1, 21, 7, 79, 241, 273, 567, 605, 2371, 5427, 15147, 20139, 40987, 75551, 236213}},
-{14284, 18, 14725, {1, 1, 7, 11, 25, 19, 77, 209, 313, 663, 115, 3697, 3641, 12461, 9877, 18331, 70809, 78923}},
-{14285, 18, 14783, {1, 1, 5, 5, 29, 45, 7, 207, 1, 357, 1089, 3861, 4161, 3209, 27845, 20947, 68909, 125179}},
-{14286, 18, 14810, {1, 3, 1, 13, 17, 11, 27, 165, 179, 489, 1611, 2801, 2385, 2971, 6777, 16149, 59811, 151043}},
-{14287, 18, 14816, {1, 1, 3, 3, 17, 53, 121, 227, 7, 71, 1855, 639, 5135, 6349, 7163, 22997, 112551, 44167}},
-{14288, 18, 14822, {1, 3, 1, 11, 15, 9, 125, 213, 485, 291, 1781, 3621, 7529, 13353, 13903, 24151, 130253, 187097}},
-{14289, 18, 14828, {1, 3, 1, 3, 1, 61, 39, 157, 455, 945, 739, 589, 7259, 7149, 16455, 12649, 72003, 152419}},
-{14290, 18, 14883, {1, 1, 3, 3, 31, 23, 17, 255, 319, 907, 563, 2571, 2149, 15323, 20289, 46061, 32769, 184353}},
-{14291, 18, 14889, {1, 3, 7, 9, 21, 51, 27, 13, 495, 909, 2039, 1435, 4791, 10037, 30119, 3405, 22535, 42247}},
-{14292, 18, 14904, {1, 1, 3, 15, 11, 25, 123, 149, 185, 635, 473, 527, 433, 10373, 18205, 853, 94619, 202507}},
-{14293, 18, 14917, {1, 1, 7, 15, 7, 39, 7, 69, 157, 533, 369, 4031, 1335, 4279, 8049, 28491, 103753, 257477}},
-{14294, 18, 14927, {1, 3, 1, 15, 29, 51, 113, 77, 5, 961, 1863, 1477, 5009, 9519, 32029, 2367, 55705, 149597}},
-{14295, 18, 14941, {1, 3, 1, 5, 19, 43, 49, 107, 59, 693, 867, 3011, 2703, 3633, 24567, 52621, 35839, 134823}},
-{14296, 18, 14946, {1, 3, 3, 7, 19, 15, 81, 105, 23, 375, 451, 3017, 1263, 7589, 24453, 21885, 57651, 52613}},
-{14297, 18, 14952, {1, 1, 3, 7, 3, 59, 19, 1, 3, 243, 1891, 2041, 4707, 15557, 28885, 5959, 22517, 237131}},
-{14298, 18, 15010, {1, 3, 7, 11, 25, 33, 105, 15, 245, 247, 1357, 1255, 7463, 4815, 13727, 41687, 112425, 58827}},
-{14299, 18, 15012, {1, 1, 7, 1, 19, 31, 37, 201, 217, 127, 927, 763, 6359, 9951, 2581, 49171, 104305, 215923}},
-{14300, 18, 15033, {1, 1, 7, 7, 13, 9, 9, 139, 363, 85, 1703, 3615, 2545, 15991, 20677, 12109, 54951, 2171}},
-{14301, 18, 15041, {1, 3, 1, 13, 27, 3, 37, 195, 185, 829, 815, 1621, 2917, 8643, 29071, 45523, 38475, 243505}},
-{14302, 18, 15047, {1, 1, 7, 3, 19, 29, 91, 85, 331, 231, 1609, 2583, 1091, 4191, 29929, 55377, 105077, 168425}},
-{14303, 18, 15066, {1, 1, 5, 3, 29, 35, 3, 61, 389, 339, 705, 473, 2075, 7373, 9699, 38809, 60415, 66423}},
-{14304, 18, 15068, {1, 3, 1, 5, 17, 25, 17, 37, 335, 787, 1891, 1861, 4325, 12721, 9675, 13671, 18655, 235443}},
-{14305, 18, 15072, {1, 3, 3, 5, 23, 13, 83, 191, 263, 325, 1847, 1717, 7089, 15709, 26567, 44489, 66523, 3107}},
-{14306, 18, 15095, {1, 3, 7, 7, 25, 29, 63, 55, 9, 481, 899, 669, 5481, 11227, 1637, 17017, 124509, 102775}},
-{14307, 18, 15150, {1, 1, 1, 5, 21, 41, 101, 93, 129, 1023, 561, 2969, 1525, 2929, 32729, 54513, 4359, 28745}},
-{14308, 18, 15152, {1, 1, 5, 13, 15, 13, 79, 9, 257, 535, 861, 2703, 6161, 6659, 10369, 7, 117467, 146651}},
-{14309, 18, 15175, {1, 1, 3, 13, 31, 11, 43, 95, 441, 921, 1323, 343, 5339, 13149, 19643, 24253, 32055, 180327}},
-{14310, 18, 15176, {1, 1, 5, 15, 11, 27, 109, 149, 255, 1021, 249, 1913, 5213, 301, 9939, 49779, 26097, 66007}},
-{14311, 18, 15210, {1, 3, 1, 11, 15, 33, 53, 159, 433, 167, 1107, 3577, 6231, 8309, 28125, 55381, 127309, 14459}},
-{14312, 18, 15245, {1, 3, 5, 9, 7, 3, 45, 139, 133, 359, 537, 805, 3931, 5181, 915, 63317, 86227, 231573}},
-{14313, 18, 15258, {1, 1, 1, 3, 11, 31, 97, 127, 117, 151, 711, 2457, 2777, 3855, 21829, 7913, 30785, 141449}},
-{14314, 18, 15263, {1, 3, 7, 13, 11, 17, 65, 63, 289, 851, 1929, 4021, 105, 5207, 17085, 64119, 48659, 31687}},
-{14315, 18, 15264, {1, 1, 7, 11, 31, 57, 63, 251, 341, 727, 505, 1851, 783, 16191, 9335, 39421, 14793, 238215}},
-{14316, 18, 15279, {1, 3, 3, 11, 23, 13, 119, 195, 117, 579, 693, 3059, 2967, 12791, 26905, 28527, 13393, 11869}},
-{14317, 18, 15301, {1, 3, 7, 11, 23, 7, 61, 143, 409, 309, 651, 3321, 4027, 1351, 10339, 18451, 18447, 235665}},
-{14318, 18, 15306, {1, 1, 1, 9, 13, 21, 7, 65, 103, 789, 973, 475, 2831, 13337, 18989, 40573, 105375, 2221}},
-{14319, 18, 15313, {1, 3, 5, 15, 3, 59, 115, 61, 365, 653, 523, 3927, 8175, 6751, 32561, 55919, 64903, 139005}},
-{14320, 18, 15329, {1, 3, 3, 13, 1, 7, 51, 63, 179, 525, 1899, 373, 3797, 6329, 5539, 32669, 65903, 154993}},
-{14321, 18, 15341, {1, 3, 1, 1, 31, 53, 87, 39, 317, 71, 1899, 925, 4719, 11645, 27125, 50391, 116491, 219271}},
-{14322, 18, 15367, {1, 3, 7, 13, 7, 23, 1, 57, 333, 277, 893, 3245, 1417, 13115, 21835, 25879, 91305, 54691}},
-{14323, 18, 15368, {1, 3, 1, 11, 27, 5, 109, 69, 221, 453, 299, 517, 609, 11959, 27789, 33107, 46559, 121673}},
-{14324, 18, 15386, {1, 3, 5, 7, 27, 7, 119, 169, 129, 643, 173, 2479, 6163, 11159, 11897, 57153, 11347, 135337}},
-{14325, 18, 15404, {1, 1, 5, 13, 13, 59, 21, 13, 429, 601, 267, 1635, 2579, 12053, 31583, 14847, 78187, 217099}},
-{14326, 18, 15422, {1, 3, 5, 9, 5, 3, 125, 159, 411, 15, 479, 933, 6307, 9707, 23491, 6501, 70993, 161365}},
-{14327, 18, 15436, {1, 1, 7, 7, 3, 33, 87, 177, 283, 825, 1935, 1545, 7071, 9975, 1795, 48277, 115725, 173439}},
-{14328, 18, 15444, {1, 3, 3, 9, 19, 63, 17, 119, 13, 337, 2021, 2221, 3237, 3253, 18661, 15479, 59377, 76095}},
-{14329, 18, 15467, {1, 1, 1, 11, 17, 15, 93, 249, 333, 171, 575, 3251, 5413, 3587, 22807, 29273, 56461, 97801}},
-{14330, 18, 15498, {1, 3, 3, 11, 13, 7, 27, 167, 389, 693, 1473, 555, 1603, 3167, 3985, 3841, 100283, 195253}},
-{14331, 18, 15503, {1, 3, 7, 1, 23, 7, 89, 231, 85, 797, 1935, 2557, 4365, 2221, 21069, 44055, 77723, 226547}},
-{14332, 18, 15528, {1, 3, 1, 5, 5, 49, 47, 187, 71, 903, 1279, 3219, 8041, 10915, 5249, 17755, 80077, 3479}},
-{14333, 18, 15534, {1, 1, 3, 13, 5, 53, 35, 25, 183, 791, 1651, 1041, 1221, 2171, 26221, 20649, 126851, 163047}},
-{14334, 18, 15536, {1, 1, 5, 9, 29, 3, 75, 31, 385, 293, 171, 3023, 2075, 14541, 30879, 13895, 67637, 87831}},
-{14335, 18, 15559, {1, 3, 5, 7, 3, 41, 115, 213, 23, 895, 361, 27, 5839, 12447, 13829, 29183, 106539, 134891}},
-{14336, 18, 15565, {1, 3, 7, 7, 11, 39, 99, 229, 195, 633, 837, 3697, 1161, 15119, 20831, 27371, 92195, 26993}},
-{14337, 18, 15583, {1, 1, 5, 9, 25, 17, 5, 169, 475, 73, 1451, 2057, 3671, 12801, 9671, 57427, 25321, 154969}},
-{14338, 18, 15599, {1, 3, 5, 11, 25, 23, 9, 145, 341, 339, 1855, 981, 8041, 569, 19851, 29521, 21767, 136505}},
-{14339, 18, 15602, {1, 1, 1, 1, 3, 9, 101, 253, 475, 529, 387, 1893, 5509, 5763, 29555, 13307, 30001, 105057}},
-{14340, 18, 15616, {1, 3, 3, 5, 17, 23, 127, 161, 375, 817, 1229, 1197, 1097, 3053, 14351, 21213, 12501, 137397}},
-{14341, 18, 15626, {1, 1, 1, 9, 7, 1, 57, 185, 281, 65, 181, 2483, 4739, 4353, 29837, 40613, 32489, 23317}},
-{14342, 18, 15667, {1, 1, 3, 9, 5, 35, 43, 191, 409, 95, 537, 2465, 515, 1633, 20887, 32535, 43863, 199885}},
-{14343, 18, 15684, {1, 3, 3, 13, 19, 49, 41, 51, 3, 979, 1623, 3323, 7711, 3707, 29417, 58011, 114467, 227499}},
-{14344, 18, 15711, {1, 1, 1, 11, 21, 7, 23, 51, 39, 25, 1971, 213, 369, 9149, 12845, 57631, 16597, 22031}},
-{14345, 18, 15745, {1, 3, 3, 11, 27, 59, 71, 37, 461, 353, 2041, 1961, 4643, 6953, 18129, 60337, 82769, 20819}},
-{14346, 18, 15763, {1, 1, 3, 11, 25, 19, 17, 5, 503, 227, 2021, 733, 2867, 201, 25779, 49811, 81167, 95437}},
-{14347, 18, 15779, {1, 3, 3, 15, 7, 53, 35, 143, 27, 937, 215, 3249, 4151, 1933, 25267, 18047, 35131, 25903}},
-{14348, 18, 15811, {1, 1, 1, 3, 3, 39, 71, 99, 291, 97, 1389, 3803, 2881, 9765, 11277, 20071, 15133, 37349}},
-{14349, 18, 15814, {1, 1, 7, 11, 9, 55, 1, 241, 391, 935, 1555, 3585, 1807, 10057, 2633, 14023, 14409, 199643}},
-{14350, 18, 15817, {1, 3, 3, 3, 19, 9, 57, 237, 107, 869, 147, 2673, 5271, 8999, 20723, 63017, 75989, 20131}},
-{14351, 18, 15853, {1, 3, 3, 3, 25, 11, 61, 77, 119, 657, 2011, 3489, 7835, 4473, 2531, 65231, 104797, 161443}},
-{14352, 18, 15881, {1, 1, 5, 5, 11, 63, 25, 93, 181, 797, 367, 3357, 5291, 5087, 28661, 34093, 75195, 165345}},
-{14353, 18, 15890, {1, 1, 1, 7, 17, 1, 77, 149, 59, 633, 1551, 1305, 7677, 8671, 17457, 64037, 104451, 112387}},
-{14354, 18, 15899, {1, 3, 1, 1, 15, 33, 37, 187, 247, 261, 1101, 3451, 7747, 12197, 22465, 30589, 12573, 204517}},
-{14355, 18, 15905, {1, 3, 3, 11, 3, 39, 71, 139, 145, 139, 101, 2815, 3457, 14033, 4531, 42133, 54147, 71259}},
-{14356, 18, 15915, {1, 3, 1, 1, 23, 37, 19, 113, 443, 57, 439, 2929, 3835, 5431, 11189, 4539, 72531, 124453}},
-{14357, 18, 15937, {1, 3, 3, 5, 3, 17, 21, 217, 41, 665, 1565, 3753, 5289, 9789, 29205, 16453, 88979, 171387}},
-{14358, 18, 15950, {1, 3, 3, 13, 27, 15, 15, 223, 231, 311, 311, 1143, 8113, 13863, 3191, 51103, 109437, 245557}},
-{14359, 18, 16002, {1, 1, 3, 13, 11, 59, 7, 191, 477, 683, 353, 2845, 7623, 9035, 453, 48429, 40111, 162859}},
-{14360, 18, 16041, {1, 3, 7, 5, 29, 37, 55, 59, 259, 851, 861, 1951, 7847, 8537, 30107, 2999, 59137, 155615}},
-{14361, 18, 16042, {1, 3, 7, 11, 3, 13, 73, 147, 393, 327, 1289, 37, 795, 1413, 19215, 28345, 124301, 23135}},
-{14362, 18, 16052, {1, 1, 5, 11, 29, 17, 107, 69, 433, 845, 1351, 2551, 807, 15315, 15511, 39475, 84879, 129405}},
-{14363, 18, 16121, {1, 3, 3, 9, 15, 3, 23, 5, 211, 871, 689, 2319, 39, 2215, 25171, 43169, 113715, 186049}},
-{14364, 18, 16132, {1, 1, 3, 7, 3, 37, 23, 9, 453, 649, 373, 1273, 1539, 6221, 27469, 44675, 13513, 131179}},
-{14365, 18, 16136, {1, 3, 1, 5, 29, 41, 119, 133, 37, 761, 1193, 2311, 4945, 7337, 17027, 12873, 51489, 160633}},
-{14366, 18, 16150, {1, 3, 1, 3, 21, 63, 75, 115, 105, 223, 933, 445, 5789, 4611, 13609, 2873, 16679, 222895}},
-{14367, 18, 16153, {1, 1, 7, 5, 17, 13, 15, 217, 193, 863, 1319, 2337, 3055, 14879, 8669, 5705, 42965, 166443}},
-{14368, 18, 16180, {1, 1, 7, 11, 3, 55, 57, 131, 289, 843, 1693, 881, 6737, 5557, 18365, 12393, 38479, 189177}},
-{14369, 18, 16190, {1, 1, 3, 5, 3, 59, 13, 123, 397, 479, 79, 569, 535, 2529, 26225, 43475, 76925, 187763}},
-{14370, 18, 16192, {1, 1, 5, 15, 15, 37, 1, 97, 489, 331, 1499, 1759, 3621, 5373, 1425, 6477, 45805, 235511}},
-{14371, 18, 16195, {1, 3, 1, 3, 7, 51, 55, 157, 61, 751, 1881, 4093, 2557, 11129, 23239, 16335, 8949, 205007}},
-{14372, 18, 16210, {1, 1, 1, 1, 13, 21, 67, 141, 85, 1023, 223, 747, 1951, 10279, 6399, 49887, 100437, 76757}},
-{14373, 18, 16225, {1, 1, 3, 11, 1, 51, 29, 33, 173, 769, 879, 2883, 417, 15031, 13377, 63919, 118803, 87969}},
-{14374, 18, 16256, {1, 1, 1, 5, 1, 1, 17, 153, 81, 691, 961, 3399, 5005, 10617, 18467, 13775, 34905, 241349}},
-{14375, 18, 16266, {1, 1, 1, 13, 7, 37, 57, 187, 389, 575, 1827, 2017, 4541, 10513, 23409, 30945, 126855, 239657}},
-{14376, 18, 16274, {1, 1, 5, 5, 17, 41, 83, 177, 285, 695, 29, 1653, 953, 6377, 13571, 58663, 9265, 100759}},
-{14377, 18, 16302, {1, 3, 5, 3, 5, 13, 27, 153, 207, 699, 1805, 947, 979, 2719, 389, 61953, 16991, 160073}},
-{14378, 18, 16310, {1, 1, 7, 13, 17, 37, 113, 185, 239, 455, 1557, 3201, 1111, 4875, 23197, 41883, 70507, 255047}},
-{14379, 18, 16322, {1, 3, 5, 11, 9, 51, 47, 137, 413, 1015, 259, 1829, 6043, 11757, 22317, 15155, 107827, 171003}},
-{14380, 18, 16339, {1, 1, 1, 13, 27, 7, 49, 91, 285, 13, 2007, 3469, 1223, 2483, 16155, 8413, 10529, 224195}},
-{14381, 18, 16345, {1, 1, 7, 3, 9, 49, 119, 81, 331, 187, 1695, 1729, 533, 6359, 7053, 34665, 37541, 100225}},
-{14382, 18, 16348, {1, 3, 7, 1, 7, 35, 115, 91, 479, 515, 1249, 121, 2885, 16383, 1777, 44205, 86459, 255885}},
-{14383, 18, 16357, {1, 1, 7, 13, 13, 27, 11, 49, 221, 829, 1787, 2889, 3875, 1679, 25333, 1323, 9813, 189373}},
-{14384, 18, 16382, {1, 3, 7, 5, 31, 5, 117, 77, 209, 619, 191, 2969, 2221, 15339, 11461, 64201, 130461, 204467}},
-{14385, 18, 16402, {1, 3, 1, 1, 29, 5, 91, 31, 313, 901, 1501, 2837, 3615, 7765, 341, 13873, 21663, 260637}},
-{14386, 18, 16461, {1, 1, 1, 9, 1, 41, 97, 15, 141, 901, 1309, 3341, 4871, 16033, 12343, 1555, 94989, 78295}},
-{14387, 18, 16469, {1, 1, 7, 3, 3, 15, 1, 29, 445, 59, 475, 3033, 4227, 3219, 6093, 58953, 92179, 49343}},
-{14388, 18, 16474, {1, 1, 5, 3, 27, 25, 109, 13, 219, 983, 131, 2517, 1161, 16063, 32737, 6077, 91183, 37457}},
-{14389, 18, 16483, {1, 3, 3, 1, 3, 1, 85, 147, 17, 543, 1475, 3873, 3719, 2737, 30977, 15953, 66077, 258979}},
-{14390, 18, 16497, {1, 3, 5, 1, 29, 9, 21, 51, 5, 985, 1177, 3287, 2183, 7301, 13713, 53403, 38439, 195863}},
-{14391, 18, 16523, {1, 1, 7, 15, 31, 53, 47, 173, 477, 439, 751, 1019, 3371, 9319, 17995, 29029, 90657, 209277}},
-{14392, 18, 16534, {1, 1, 5, 5, 17, 5, 59, 115, 375, 231, 1891, 1321, 3639, 16117, 32639, 28793, 68213, 41091}},
-{14393, 18, 16550, {1, 3, 5, 11, 17, 15, 13, 11, 459, 767, 849, 1407, 6611, 6409, 21515, 63175, 127155, 171959}},
-{14394, 18, 16564, {1, 1, 5, 1, 17, 49, 61, 161, 399, 137, 845, 2673, 2431, 15343, 389, 42337, 23031, 94811}},
-{14395, 18, 16582, {1, 1, 1, 9, 21, 23, 75, 177, 351, 197, 1619, 2443, 6829, 3773, 16399, 31949, 44975, 221363}},
-{14396, 18, 16591, {1, 1, 3, 1, 11, 19, 103, 61, 135, 863, 1427, 2657, 4553, 1277, 20249, 3973, 25467, 18847}},
-{14397, 18, 16609, {1, 3, 3, 13, 17, 31, 19, 163, 323, 195, 603, 4069, 3181, 12069, 22117, 44229, 23585, 202785}},
-{14398, 18, 16642, {1, 1, 7, 5, 17, 3, 77, 111, 491, 829, 1375, 2829, 5599, 14057, 21387, 52345, 108281, 211285}},
-{14399, 18, 16648, {1, 3, 3, 1, 17, 43, 71, 13, 321, 393, 1803, 727, 5101, 13485, 8693, 60505, 13893, 3467}},
-{14400, 18, 16656, {1, 1, 5, 1, 23, 31, 121, 15, 215, 215, 1113, 3335, 7431, 4863, 31429, 49903, 59403, 60797}},
-{14401, 18, 16662, {1, 3, 3, 9, 21, 43, 61, 171, 361, 323, 1895, 3647, 729, 8809, 9351, 14573, 93593, 17485}},
-{14402, 18, 16665, {1, 3, 3, 7, 7, 19, 45, 247, 203, 757, 1941, 3753, 5317, 13239, 18945, 26173, 43929, 66889}},
-{14403, 18, 16678, {1, 1, 1, 15, 5, 17, 11, 21, 193, 941, 517, 191, 6067, 8403, 27339, 31035, 34767, 28675}},
-{14404, 18, 16701, {1, 3, 1, 7, 27, 59, 27, 7, 491, 551, 867, 3693, 391, 9799, 11051, 28347, 57555, 23079}},
-{14405, 18, 16713, {1, 3, 3, 1, 25, 21, 63, 253, 459, 603, 107, 1229, 1433, 4263, 24341, 20493, 40165, 254725}},
-{14406, 18, 16716, {1, 3, 5, 3, 9, 7, 63, 195, 19, 973, 47, 811, 2207, 3613, 8911, 17495, 62403, 77951}},
-{14407, 18, 16758, {1, 3, 5, 11, 5, 13, 83, 125, 467, 111, 1819, 3807, 4259, 2885, 29577, 13539, 69859, 97379}},
-{14408, 18, 16768, {1, 1, 5, 15, 5, 33, 109, 203, 129, 587, 9, 3025, 2839, 11405, 11257, 7779, 30311, 14015}},
-{14409, 18, 16797, {1, 1, 7, 15, 5, 47, 103, 199, 391, 61, 129, 3511, 1295, 15067, 23919, 2941, 120463, 21665}},
-{14410, 18, 16804, {1, 1, 5, 5, 7, 7, 125, 153, 365, 815, 1423, 4053, 875, 2405, 21291, 26785, 31371, 211045}},
-{14411, 18, 16811, {1, 3, 3, 9, 31, 47, 1, 247, 197, 1019, 985, 2277, 875, 3969, 15093, 15561, 110101, 156547}},
-{14412, 18, 16813, {1, 1, 3, 1, 9, 47, 71, 125, 17, 501, 1783, 2337, 483, 12719, 22453, 16701, 102639, 152955}},
-{14413, 18, 16881, {1, 1, 3, 11, 13, 31, 9, 63, 261, 257, 319, 1443, 5011, 9799, 18639, 53081, 56879, 102335}},
-{14414, 18, 16888, {1, 3, 3, 1, 5, 59, 127, 163, 323, 997, 1755, 1445, 2285, 4935, 22123, 815, 115131, 1009}},
-{14415, 18, 16893, {1, 1, 3, 11, 11, 43, 65, 127, 137, 583, 173, 2601, 5809, 15773, 16129, 2543, 68281, 96107}},
-{14416, 18, 16922, {1, 3, 5, 9, 25, 25, 95, 73, 313, 893, 1805, 2301, 5917, 15159, 8637, 25505, 66053, 31627}},
-{14417, 18, 16937, {1, 1, 3, 7, 25, 59, 55, 13, 297, 849, 187, 359, 3745, 12655, 29293, 58581, 89799, 195867}},
-{14418, 18, 16958, {1, 1, 5, 13, 19, 5, 51, 85, 259, 59, 1003, 2991, 6605, 8405, 5221, 45607, 130729, 99641}},
-{14419, 18, 16965, {1, 3, 5, 5, 25, 61, 51, 211, 143, 233, 1465, 1165, 1769, 3021, 9491, 30335, 34787, 142605}},
-{14420, 18, 16978, {1, 3, 5, 13, 23, 9, 89, 249, 71, 179, 841, 3375, 21, 6757, 27495, 7531, 123725, 253855}},
-{14421, 18, 16980, {1, 3, 7, 13, 9, 33, 109, 103, 475, 781, 493, 2079, 6529, 13443, 2181, 26925, 31345, 142863}},
-{14422, 18, 16989, {1, 1, 7, 9, 15, 41, 17, 85, 503, 839, 533, 731, 2735, 12949, 11395, 22539, 130147, 40045}},
-{14423, 18, 17011, {1, 1, 5, 9, 25, 21, 29, 79, 405, 383, 1271, 385, 7629, 3889, 5319, 57739, 51411, 50895}},
-{14424, 18, 17014, {1, 3, 7, 5, 13, 35, 17, 97, 261, 437, 951, 1403, 2407, 11447, 13565, 10165, 100001, 253093}},
-{14425, 18, 17023, {1, 3, 1, 3, 11, 39, 31, 187, 473, 565, 351, 4007, 2621, 14463, 9009, 40679, 81069, 51131}},
-{14426, 18, 17063, {1, 3, 5, 5, 9, 17, 11, 151, 59, 249, 281, 203, 6423, 4977, 18557, 65383, 88361, 87437}},
-{14427, 18, 17081, {1, 3, 5, 7, 15, 25, 3, 157, 179, 439, 1627, 3493, 6641, 6403, 2361, 3613, 33817, 22585}},
-{14428, 18, 17084, {1, 3, 5, 1, 13, 63, 77, 195, 233, 175, 631, 1021, 637, 13231, 26187, 131, 127379, 256183}},
-{14429, 18, 17099, {1, 1, 7, 9, 5, 13, 15, 187, 55, 37, 1113, 2191, 3439, 1073, 26239, 3049, 19807, 250869}},
-{14430, 18, 17126, {1, 1, 7, 3, 13, 15, 77, 47, 317, 285, 753, 2419, 7795, 11423, 6043, 2913, 42819, 50603}},
-{14431, 18, 17129, {1, 3, 7, 15, 21, 17, 63, 71, 97, 535, 1085, 1531, 5165, 13717, 1537, 26797, 111787, 189403}},
-{14432, 18, 17138, {1, 1, 1, 7, 9, 3, 43, 209, 385, 851, 1411, 4039, 3259, 13387, 24505, 33325, 83741, 241255}},
-{14433, 18, 17164, {1, 1, 1, 1, 3, 41, 13, 43, 303, 445, 1097, 3517, 7753, 8459, 3017, 16385, 13775, 248655}},
-{14434, 18, 17170, {1, 3, 5, 15, 5, 61, 31, 57, 269, 931, 1071, 1137, 6181, 13005, 18493, 1345, 105203, 117309}},
-{14435, 18, 17203, {1, 1, 3, 13, 21, 29, 3, 179, 367, 155, 993, 117, 5849, 10181, 1175, 55769, 16025, 67669}},
-{14436, 18, 17206, {1, 1, 3, 9, 11, 9, 33, 131, 181, 1003, 253, 2759, 1877, 11851, 22959, 37823, 82737, 110329}},
-{14437, 18, 17224, {1, 1, 1, 5, 7, 5, 107, 191, 385, 129, 567, 2585, 7295, 3005, 28185, 7095, 54851, 257587}},
-{14438, 18, 17305, {1, 3, 7, 9, 21, 61, 103, 155, 503, 307, 993, 683, 1491, 14895, 9213, 34535, 17765, 12457}},
-{14439, 18, 17322, {1, 3, 3, 1, 7, 47, 27, 173, 97, 889, 853, 3995, 4943, 71, 20479, 16741, 35479, 35307}},
-{14440, 18, 17327, {1, 1, 5, 3, 15, 35, 29, 207, 117, 267, 1835, 2565, 1199, 3813, 13999, 10537, 129915, 210651}},
-{14441, 18, 17332, {1, 3, 3, 13, 5, 57, 77, 193, 11, 279, 745, 2511, 5775, 13527, 26329, 16303, 111511, 70025}},
-{14442, 18, 17342, {1, 3, 7, 9, 17, 1, 73, 1, 125, 939, 863, 2763, 1951, 3191, 5567, 59729, 32149, 149417}},
-{14443, 18, 17387, {1, 3, 3, 1, 19, 25, 119, 63, 101, 33, 77, 3587, 6367, 8275, 24957, 32087, 7031, 217291}},
-{14444, 18, 17410, {1, 1, 1, 13, 7, 25, 75, 161, 143, 353, 973, 2957, 749, 13519, 11295, 34287, 60727, 83731}},
-{14445, 18, 17419, {1, 3, 7, 7, 17, 9, 59, 45, 97, 619, 895, 1955, 8143, 2507, 4673, 39425, 35679, 152069}},
-{14446, 18, 17429, {1, 1, 5, 9, 31, 19, 115, 177, 349, 877, 525, 305, 2187, 12195, 13529, 61641, 102293, 69941}},
-{14447, 18, 17439, {1, 3, 7, 11, 23, 59, 15, 243, 511, 465, 905, 1979, 2263, 2105, 9009, 3691, 22241, 97765}},
-{14448, 18, 17440, {1, 1, 7, 9, 29, 13, 3, 207, 51, 405, 1703, 1923, 1781, 14723, 8103, 10707, 64799, 99349}},
-{14449, 18, 17457, {1, 1, 7, 5, 23, 29, 51, 63, 489, 273, 1577, 2807, 5427, 9949, 1929, 19791, 109405, 241465}},
-{14450, 18, 17458, {1, 3, 3, 7, 29, 61, 103, 55, 29, 17, 1081, 21, 5791, 9803, 19385, 45091, 118069, 61383}},
-{14451, 18, 17469, {1, 3, 1, 7, 3, 15, 75, 47, 475, 87, 1541, 3933, 1081, 12361, 29213, 64333, 7229, 226909}},
-{14452, 18, 17477, {1, 1, 5, 7, 21, 45, 19, 137, 351, 229, 1773, 1829, 5025, 12661, 18745, 54917, 10419, 176667}},
-{14453, 18, 17512, {1, 1, 1, 3, 9, 37, 81, 25, 11, 327, 1653, 2751, 2823, 12575, 30287, 46265, 17299, 93595}},
-{14454, 18, 17518, {1, 1, 1, 3, 15, 17, 43, 163, 223, 731, 631, 2813, 1723, 6089, 14245, 64339, 114291, 40331}},
-{14455, 18, 17532, {1, 3, 7, 5, 21, 45, 41, 17, 495, 61, 1369, 369, 4493, 12071, 3813, 41455, 62561, 174399}},
-{14456, 18, 17536, {1, 1, 1, 5, 9, 41, 95, 113, 109, 519, 1683, 2265, 2875, 12649, 15575, 53511, 100707, 224035}},
-{14457, 18, 17559, {1, 3, 7, 9, 29, 7, 109, 109, 283, 111, 1167, 3679, 369, 11597, 19459, 759, 128667, 172427}},
-{14458, 18, 17569, {1, 1, 1, 3, 13, 31, 97, 31, 477, 507, 835, 465, 7501, 2485, 19485, 51055, 56363, 229341}},
-{14459, 18, 17641, {1, 3, 5, 11, 3, 23, 67, 173, 99, 963, 977, 1949, 1263, 2427, 15181, 23571, 23509, 26481}},
-{14460, 18, 17667, {1, 3, 3, 1, 29, 3, 35, 191, 197, 277, 397, 205, 5945, 1069, 31789, 3551, 101901, 222609}},
-{14461, 18, 17674, {1, 1, 5, 9, 11, 23, 109, 81, 295, 7, 755, 2345, 2823, 11133, 22623, 14515, 57059, 231099}},
-{14462, 18, 17693, {1, 3, 1, 3, 21, 29, 37, 71, 111, 737, 1881, 871, 5843, 5889, 14615, 49909, 7105, 48335}},
-{14463, 18, 17710, {1, 3, 1, 15, 23, 31, 87, 181, 483, 225, 2003, 365, 1569, 11153, 14673, 30085, 56497, 203723}},
-{14464, 18, 17729, {1, 1, 3, 15, 17, 47, 99, 167, 485, 431, 1481, 2225, 1537, 8513, 19407, 34165, 27289, 84393}},
-{14465, 18, 17754, {1, 3, 7, 3, 11, 17, 115, 205, 403, 831, 1869, 3623, 5215, 15511, 11297, 25181, 127491, 155887}},
-{14466, 18, 17763, {1, 1, 7, 5, 31, 37, 23, 21, 403, 529, 1185, 3363, 6319, 2435, 2687, 39407, 121891, 133047}},
-{14467, 18, 17780, {1, 3, 7, 1, 21, 31, 43, 61, 371, 987, 1783, 3811, 6227, 13199, 31799, 28863, 49329, 73947}},
-{14468, 18, 17784, {1, 3, 1, 1, 13, 1, 5, 99, 35, 793, 483, 2573, 2249, 6345, 12793, 61917, 49419, 58011}},
-{14469, 18, 17790, {1, 3, 1, 15, 3, 45, 35, 189, 67, 447, 1455, 3575, 8191, 7907, 21559, 38211, 26945, 240679}},
-{14470, 18, 17830, {1, 1, 3, 11, 27, 49, 9, 109, 93, 473, 1465, 271, 7389, 47, 8101, 6219, 17437, 220461}},
-{14471, 18, 17851, {1, 1, 7, 3, 23, 31, 75, 61, 375, 901, 1329, 2603, 3469, 12957, 23949, 62183, 126763, 68965}},
-{14472, 18, 17868, {1, 1, 7, 9, 13, 59, 75, 233, 339, 29, 1117, 1693, 593, 15317, 29753, 3079, 43583, 79939}},
-{14473, 18, 17879, {1, 1, 5, 1, 17, 57, 81, 123, 101, 765, 1941, 3143, 7403, 9105, 23197, 28983, 128059, 5931}},
-{14474, 18, 17896, {1, 3, 5, 11, 19, 31, 89, 165, 213, 251, 965, 3203, 1621, 4323, 26877, 17109, 18321, 162413}},
-{14475, 18, 17901, {1, 3, 3, 9, 11, 59, 123, 213, 335, 267, 1767, 3317, 5189, 10149, 27921, 19331, 71541, 170501}},
-{14476, 18, 17916, {1, 3, 3, 15, 3, 3, 115, 235, 305, 219, 265, 1535, 4925, 5597, 20857, 32381, 117237, 197533}},
-{14477, 18, 17935, {1, 3, 5, 13, 13, 59, 93, 85, 419, 337, 513, 2131, 5665, 12229, 1389, 34355, 65485, 81141}},
-{14478, 18, 17953, {1, 3, 7, 7, 11, 59, 111, 219, 293, 289, 325, 623, 3853, 3775, 14771, 5945, 119451, 162861}},
-{14479, 18, 17991, {1, 3, 1, 11, 19, 33, 119, 239, 431, 803, 1119, 2445, 3203, 7219, 31963, 34519, 104953, 254491}},
-{14480, 18, 18009, {1, 3, 7, 9, 21, 53, 21, 115, 365, 419, 11, 3803, 4283, 417, 8937, 64533, 56433, 166025}},
-{14481, 18, 18016, {1, 1, 7, 3, 17, 5, 99, 143, 485, 309, 1255, 2641, 3427, 1681, 3301, 64531, 38629, 20945}},
-{14482, 18, 18034, {1, 1, 5, 1, 31, 3, 115, 217, 451, 5, 1447, 2317, 1725, 12931, 25799, 23569, 51747, 28821}},
-{14483, 18, 18061, {1, 3, 7, 3, 31, 55, 109, 107, 211, 381, 1067, 3973, 5007, 8939, 8605, 55221, 124603, 47115}},
-{14484, 18, 18070, {1, 1, 1, 11, 19, 13, 99, 241, 103, 711, 1823, 2671, 653, 10217, 14195, 39735, 54807, 105599}},
-{14485, 18, 18079, {1, 3, 3, 7, 9, 33, 43, 131, 493, 141, 827, 2909, 2847, 12879, 7879, 6263, 25981, 57323}},
-{14486, 18, 18132, {1, 1, 1, 1, 1, 41, 55, 175, 479, 725, 157, 3403, 5809, 10685, 20433, 21729, 9493, 205685}},
-{14487, 18, 18145, {1, 1, 7, 5, 1, 33, 31, 245, 109, 711, 1047, 941, 449, 1055, 16249, 45211, 48311, 171339}},
-{14488, 18, 18169, {1, 3, 3, 9, 27, 9, 113, 69, 269, 643, 1371, 3521, 4969, 5373, 11133, 63109, 42725, 126969}},
-{14489, 18, 18170, {1, 1, 5, 15, 9, 21, 1, 195, 421, 429, 1103, 2727, 463, 9801, 8955, 62841, 94687, 114509}},
-{14490, 18, 18190, {1, 1, 5, 5, 5, 47, 9, 221, 59, 115, 359, 1147, 749, 1009, 23129, 641, 39471, 23073}},
-{14491, 18, 18192, {1, 3, 5, 13, 27, 29, 19, 3, 121, 773, 625, 2757, 6377, 15867, 14563, 40391, 4351, 21153}},
-{14492, 18, 18201, {1, 1, 5, 9, 11, 25, 51, 101, 273, 541, 1761, 593, 7111, 4369, 30095, 34867, 103989, 19855}},
-{14493, 18, 18228, {1, 1, 3, 13, 27, 55, 79, 115, 105, 855, 627, 2227, 2927, 8757, 8713, 54607, 43671, 130153}},
-{14494, 18, 18243, {1, 1, 3, 5, 7, 45, 21, 71, 157, 773, 1265, 841, 2463, 2217, 6087, 28683, 21251, 72377}},
-{14495, 18, 18260, {1, 1, 3, 1, 15, 11, 117, 211, 223, 713, 545, 907, 6907, 41, 17039, 23079, 86657, 5765}},
-{14496, 18, 18279, {1, 1, 5, 3, 27, 33, 77, 137, 401, 585, 911, 1189, 2749, 3427, 2701, 2453, 84857, 176585}},
-{14497, 18, 18285, {1, 1, 1, 3, 7, 39, 73, 143, 29, 569, 939, 301, 7827, 7691, 11513, 64517, 113679, 234165}},
-{14498, 18, 18297, {1, 3, 1, 11, 29, 57, 127, 181, 175, 973, 1537, 761, 5205, 13641, 32649, 8621, 77509, 261235}},
-{14499, 18, 18300, {1, 3, 5, 5, 13, 19, 117, 225, 477, 297, 1807, 2357, 5653, 3791, 6325, 54877, 120659, 91013}},
-{14500, 18, 18321, {1, 3, 1, 1, 3, 55, 19, 99, 321, 877, 541, 511, 141, 15047, 26377, 9, 2765, 223533}},
-{14501, 18, 18344, {1, 1, 1, 11, 13, 59, 121, 147, 215, 117, 1047, 3055, 2129, 15191, 14425, 28327, 108541, 114275}},
-{14502, 18, 18358, {1, 1, 1, 15, 3, 21, 105, 61, 501, 899, 195, 2745, 5989, 4433, 19525, 35477, 22997, 241657}},
-{14503, 18, 18364, {1, 1, 3, 5, 19, 47, 77, 247, 413, 317, 1255, 2087, 4493, 2211, 9003, 22145, 94001, 50579}},
-{14504, 18, 18376, {1, 3, 7, 11, 31, 47, 25, 191, 65, 409, 1349, 2481, 7619, 223, 18051, 63609, 77187, 75483}},
-{14505, 18, 18390, {1, 1, 1, 9, 21, 59, 115, 251, 401, 91, 627, 3273, 2393, 2949, 11475, 23669, 16171, 77507}},
-{14506, 18, 18399, {1, 3, 5, 1, 19, 7, 65, 253, 217, 493, 227, 3269, 4261, 2295, 32037, 5773, 12925, 41821}},
-{14507, 18, 18400, {1, 1, 5, 11, 5, 31, 71, 205, 285, 37, 1863, 1873, 191, 16137, 2955, 51993, 91401, 206967}},
-{14508, 18, 18427, {1, 3, 1, 7, 23, 31, 21, 81, 37, 903, 817, 3447, 8067, 3087, 25831, 46247, 77255, 68365}},
-{14509, 18, 18443, {1, 1, 7, 11, 7, 43, 21, 243, 431, 633, 2047, 577, 7297, 8151, 15951, 30313, 121569, 241687}},
-{14510, 18, 18487, {1, 1, 3, 5, 7, 45, 35, 189, 381, 849, 1869, 1193, 6815, 9017, 29053, 63605, 113623, 249097}},
-{14511, 18, 18493, {1, 3, 3, 11, 13, 1, 73, 151, 197, 591, 1101, 2437, 6695, 8337, 26539, 40147, 45673, 57727}},
-{14512, 18, 18508, {1, 1, 5, 1, 19, 15, 61, 151, 37, 893, 1819, 2317, 6299, 13097, 5109, 32613, 123685, 128173}},
-{14513, 18, 18532, {1, 1, 1, 7, 25, 29, 29, 203, 179, 211, 1483, 3315, 7125, 6931, 609, 849, 117571, 26829}},
-{14514, 18, 18535, {1, 3, 3, 11, 11, 47, 33, 101, 181, 431, 183, 2777, 5269, 4177, 15727, 717, 111243, 34825}},
-{14515, 18, 18580, {1, 3, 5, 11, 17, 19, 19, 143, 137, 537, 1249, 2889, 1911, 3895, 15433, 60165, 83815, 205569}},
-{14516, 18, 18587, {1, 3, 3, 7, 9, 59, 13, 159, 307, 625, 1, 2887, 3307, 16371, 4269, 56253, 71171, 55543}},
-{14517, 18, 18606, {1, 1, 1, 11, 7, 63, 15, 53, 409, 7, 1317, 473, 7481, 10321, 27941, 4941, 40003, 194153}},
-{14518, 18, 18659, {1, 1, 1, 1, 11, 53, 93, 157, 289, 231, 31, 273, 8131, 7861, 31041, 55221, 58305, 203403}},
-{14519, 18, 18662, {1, 1, 5, 11, 15, 53, 103, 41, 439, 601, 1949, 1087, 4275, 4675, 31879, 40909, 22365, 124781}},
-{14520, 18, 18679, {1, 3, 5, 9, 1, 47, 81, 47, 197, 499, 329, 2387, 5455, 15571, 2289, 44121, 12105, 11883}},
-{14521, 18, 18694, {1, 1, 3, 3, 7, 47, 93, 33, 265, 149, 845, 723, 7783, 6651, 22939, 58027, 66959, 3991}},
-{14522, 18, 18697, {1, 1, 5, 11, 23, 35, 123, 143, 35, 981, 1269, 2853, 4547, 7877, 16181, 17155, 57605, 11589}},
-{14523, 18, 18706, {1, 1, 7, 11, 9, 57, 87, 151, 333, 743, 1939, 3273, 1047, 5033, 16061, 37237, 12013, 17669}},
-{14524, 18, 18708, {1, 3, 7, 5, 29, 15, 109, 185, 51, 159, 1353, 3041, 7821, 14053, 13643, 62045, 78475, 43603}},
-{14525, 18, 18728, {1, 3, 1, 9, 29, 25, 121, 49, 415, 561, 325, 1139, 1993, 6437, 6025, 25225, 20761, 250589}},
-{14526, 18, 18731, {1, 3, 5, 3, 15, 39, 33, 43, 437, 605, 1081, 2397, 3821, 10961, 4853, 19517, 95817, 142023}},
-{14527, 18, 18733, {1, 1, 3, 11, 23, 51, 119, 13, 227, 981, 2017, 3265, 1215, 8737, 10719, 48027, 43239, 19425}},
-{14528, 18, 18751, {1, 3, 1, 15, 5, 5, 33, 175, 509, 611, 451, 2653, 1553, 1941, 25221, 31259, 6027, 159847}},
-{14529, 18, 18766, {1, 3, 7, 11, 7, 25, 71, 61, 89, 775, 609, 2363, 4261, 10677, 1243, 44895, 49113, 209603}},
-{14530, 18, 18773, {1, 3, 5, 15, 23, 23, 3, 15, 489, 455, 1303, 745, 5311, 1639, 18317, 33729, 119303, 255359}},
-{14531, 18, 18796, {1, 3, 7, 5, 13, 53, 29, 127, 159, 67, 469, 1735, 3497, 6985, 24735, 32957, 1225, 24447}},
-{14532, 18, 18811, {1, 3, 5, 5, 9, 13, 119, 83, 387, 777, 361, 3183, 6351, 9071, 13699, 53873, 54663, 67453}},
-{14533, 18, 18823, {1, 1, 5, 9, 17, 33, 9, 159, 143, 193, 1055, 2903, 2719, 12521, 5231, 37639, 94963, 105673}},
-{14534, 18, 18832, {1, 3, 3, 1, 27, 53, 87, 49, 465, 517, 1333, 411, 4089, 9985, 12989, 59511, 49939, 223481}},
-{14535, 18, 18854, {1, 1, 5, 9, 27, 59, 35, 125, 393, 271, 1565, 2847, 8139, 15627, 16059, 55319, 11131, 35141}},
-{14536, 18, 18858, {1, 1, 1, 1, 25, 1, 27, 195, 113, 539, 1281, 2273, 4793, 695, 25599, 41145, 107431, 160137}},
-{14537, 18, 18883, {1, 3, 3, 7, 13, 7, 35, 137, 83, 995, 1671, 1701, 3157, 15583, 7637, 18947, 59675, 9421}},
-{14538, 18, 18900, {1, 1, 7, 15, 23, 37, 109, 93, 377, 885, 1843, 1867, 2013, 10535, 5717, 55463, 18307, 125537}},
-{14539, 18, 18967, {1, 3, 7, 11, 25, 33, 91, 213, 109, 599, 131, 1879, 1375, 2911, 4649, 8809, 41199, 61629}},
-{14540, 18, 18974, {1, 3, 1, 1, 11, 17, 117, 243, 427, 913, 495, 527, 4277, 8867, 3131, 14143, 81677, 177369}},
-{14541, 18, 18990, {1, 3, 7, 11, 11, 37, 71, 185, 487, 161, 1773, 837, 243, 14105, 6881, 2155, 63679, 220387}},
-{14542, 18, 19009, {1, 1, 5, 3, 11, 41, 33, 99, 495, 757, 1083, 1987, 1997, 11057, 18445, 61903, 78163, 121701}},
-{14543, 18, 19055, {1, 1, 1, 1, 23, 37, 9, 19, 411, 11, 1487, 1279, 2129, 7449, 29631, 34559, 129753, 112627}},
-{14544, 18, 19058, {1, 1, 3, 11, 31, 39, 41, 207, 141, 383, 723, 3053, 743, 4479, 12395, 56659, 130303, 152005}},
-{14545, 18, 19074, {1, 3, 1, 7, 27, 25, 19, 37, 29, 781, 1115, 2569, 4113, 14033, 18653, 1055, 50639, 70413}},
-{14546, 18, 19079, {1, 1, 3, 1, 9, 15, 109, 7, 221, 161, 569, 2915, 2717, 2439, 4257, 61851, 113183, 63139}},
-{14547, 18, 19086, {1, 3, 5, 1, 17, 45, 3, 147, 207, 769, 321, 11, 2747, 7189, 8067, 34951, 50851, 42625}},
-{14548, 18, 19128, {1, 1, 7, 11, 15, 53, 117, 161, 219, 937, 1661, 3767, 959, 10351, 26685, 40095, 109821, 140139}},
-{14549, 18, 19145, {1, 3, 3, 9, 15, 47, 61, 35, 289, 743, 1723, 2189, 749, 13499, 22897, 55385, 114953, 67191}},
-{14550, 18, 19163, {1, 3, 7, 3, 23, 19, 123, 217, 393, 889, 1665, 13, 5663, 8695, 29767, 13433, 65133, 226713}},
-{14551, 18, 19175, {1, 1, 7, 11, 5, 57, 59, 171, 321, 519, 1333, 1975, 5331, 2383, 26863, 8989, 82167, 6915}},
-{14552, 18, 19189, {1, 1, 3, 3, 7, 17, 105, 79, 7, 827, 1277, 3805, 5943, 3161, 28953, 15657, 615, 149131}},
-{14553, 18, 19196, {1, 1, 5, 1, 5, 7, 99, 65, 295, 933, 365, 1867, 1959, 10733, 26947, 29659, 121889, 200379}},
-{14554, 18, 19204, {1, 3, 1, 13, 25, 21, 89, 247, 251, 43, 1539, 1317, 1875, 9237, 20693, 58433, 16757, 25451}},
-{14555, 18, 19213, {1, 3, 3, 13, 11, 47, 73, 21, 467, 337, 1881, 2723, 7023, 2767, 12553, 65533, 20517, 203749}},
-{14556, 18, 19237, {1, 1, 1, 1, 1, 17, 85, 133, 369, 577, 71, 859, 8151, 919, 10843, 44017, 10097, 199893}},
-{14557, 18, 19276, {1, 3, 5, 5, 23, 19, 21, 233, 475, 123, 621, 687, 6945, 2373, 6447, 31243, 3525, 256545}},
-{14558, 18, 19287, {1, 1, 7, 5, 9, 5, 35, 21, 33, 353, 1429, 3249, 6159, 8757, 6213, 855, 75863, 74507}},
-{14559, 18, 19291, {1, 1, 5, 11, 29, 21, 45, 155, 369, 769, 1041, 3929, 7377, 1621, 5285, 55213, 66143, 110251}},
-{14560, 18, 19293, {1, 3, 7, 11, 13, 57, 45, 207, 259, 907, 573, 663, 7727, 12677, 5949, 57625, 42183, 217491}},
-{14561, 18, 19304, {1, 3, 5, 3, 21, 63, 113, 159, 87, 551, 1405, 2867, 239, 10941, 27633, 13947, 69689, 225771}},
-{14562, 18, 19371, {1, 1, 3, 1, 1, 59, 5, 41, 125, 707, 1457, 1, 4263, 5519, 26101, 46339, 44949, 63689}},
-{14563, 18, 19379, {1, 1, 1, 1, 11, 9, 65, 155, 3, 85, 273, 2287, 6059, 3289, 19045, 14705, 112465, 202019}},
-{14564, 18, 19381, {1, 3, 3, 3, 21, 49, 95, 75, 479, 519, 1511, 1609, 2421, 14435, 11749, 49627, 16221, 98351}},
-{14565, 18, 19405, {1, 1, 3, 5, 25, 57, 1, 39, 377, 523, 529, 701, 6749, 10109, 15845, 53301, 70979, 210997}},
-{14566, 18, 19417, {1, 3, 1, 3, 27, 29, 101, 87, 361, 1, 229, 2653, 769, 16121, 18221, 31937, 12187, 63801}},
-{14567, 18, 19420, {1, 3, 3, 1, 25, 27, 49, 235, 309, 23, 1625, 589, 1251, 10305, 26943, 38949, 82539, 135491}},
-{14568, 18, 19424, {1, 1, 7, 7, 13, 13, 13, 61, 509, 73, 201, 2309, 1601, 3145, 19867, 5623, 117455, 180681}},
-{14569, 18, 19462, {1, 3, 3, 13, 13, 47, 71, 9, 123, 719, 701, 353, 1877, 3103, 20017, 64731, 72729, 147631}},
-{14570, 18, 19474, {1, 3, 1, 7, 29, 29, 53, 97, 409, 67, 1033, 2403, 2471, 10869, 2837, 43459, 117415, 213371}},
-{14571, 18, 19492, {1, 1, 7, 1, 7, 23, 103, 157, 315, 335, 375, 3493, 4095, 5331, 7773, 64173, 23167, 21259}},
-{14572, 18, 19501, {1, 3, 5, 13, 13, 55, 107, 147, 447, 281, 401, 1897, 7887, 15005, 21645, 26007, 19673, 238931}},
-{14573, 18, 19504, {1, 3, 1, 7, 17, 39, 109, 113, 143, 59, 1095, 225, 1455, 5021, 5011, 2039, 4381, 219847}},
-{14574, 18, 19516, {1, 3, 3, 7, 1, 35, 121, 145, 297, 251, 1153, 1955, 7881, 15461, 26961, 915, 30253, 15289}},
-{14575, 18, 19519, {1, 3, 5, 15, 5, 57, 43, 157, 49, 17, 993, 4085, 5639, 9405, 28661, 30191, 73291, 76913}},
-{14576, 18, 19534, {1, 1, 7, 1, 25, 63, 117, 55, 63, 649, 1635, 2505, 2765, 2715, 30241, 62699, 19567, 65953}},
-{14577, 18, 19555, {1, 3, 5, 13, 21, 49, 111, 127, 179, 819, 1737, 2519, 815, 10541, 15821, 54203, 71767, 7091}},
-{14578, 18, 19597, {1, 1, 1, 3, 27, 41, 101, 139, 39, 995, 819, 319, 1481, 15265, 20611, 22445, 53733, 82871}},
-{14579, 18, 19600, {1, 3, 3, 13, 7, 61, 103, 203, 353, 205, 1927, 2665, 757, 12277, 31217, 22247, 14527, 26385}},
-{14580, 18, 19615, {1, 1, 7, 3, 5, 35, 87, 235, 139, 785, 417, 3975, 6753, 4267, 15201, 8747, 12491, 159979}},
-{14581, 18, 19621, {1, 3, 1, 9, 9, 11, 117, 231, 503, 933, 1461, 2657, 7771, 2161, 26723, 4853, 23215, 162315}},
-{14582, 18, 19646, {1, 1, 7, 15, 27, 25, 115, 9, 257, 89, 571, 41, 2169, 10619, 2695, 2107, 64747, 40489}},
-{14583, 18, 19651, {1, 3, 7, 9, 29, 61, 91, 117, 279, 721, 233, 177, 5509, 7599, 2379, 20297, 75425, 25051}},
-{14584, 18, 19693, {1, 1, 1, 15, 31, 41, 3, 57, 59, 47, 963, 2831, 1885, 1989, 26803, 48243, 112065, 27753}},
-{14585, 18, 19702, {1, 1, 5, 15, 9, 57, 41, 255, 179, 719, 1463, 2857, 285, 9623, 13111, 20415, 28819, 149441}},
-{14586, 18, 19726, {1, 3, 1, 9, 17, 63, 21, 79, 473, 525, 1557, 3205, 7097, 14379, 28039, 30731, 62383, 247429}},
-{14587, 18, 19754, {1, 3, 3, 13, 25, 45, 97, 213, 11, 801, 1519, 1085, 6167, 13701, 6707, 47223, 69923, 66239}},
-{14588, 18, 19759, {1, 1, 1, 13, 1, 1, 9, 21, 363, 729, 1715, 1249, 5299, 11357, 20627, 33559, 84255, 133743}},
-{14589, 18, 19764, {1, 3, 3, 13, 17, 33, 23, 255, 309, 605, 1177, 1305, 2717, 6561, 29193, 7971, 117525, 79139}},
-{14590, 18, 19788, {1, 3, 1, 1, 7, 15, 73, 171, 11, 791, 241, 2641, 5397, 10403, 22207, 64123, 124507, 63855}},
-{14591, 18, 19793, {1, 3, 1, 11, 11, 7, 109, 103, 321, 1009, 1237, 3347, 287, 2389, 16529, 7789, 3347, 97827}},
-{14592, 18, 19836, {1, 3, 3, 3, 1, 27, 17, 9, 223, 755, 559, 3811, 2997, 1543, 23197, 42371, 5837, 13809}},
-{14593, 18, 19855, {1, 3, 1, 3, 7, 57, 31, 23, 35, 329, 1155, 2525, 3029, 5495, 12005, 18045, 4539, 75789}},
-{14594, 18, 19858, {1, 1, 5, 13, 3, 31, 121, 161, 325, 869, 715, 851, 1273, 1871, 22711, 61499, 36291, 11663}},
-{14595, 18, 19880, {1, 1, 5, 11, 7, 39, 23, 139, 197, 47, 513, 373, 6859, 11217, 17725, 60949, 19299, 91425}},
-{14596, 18, 19883, {1, 1, 3, 7, 15, 63, 123, 11, 109, 829, 231, 2591, 7997, 9061, 18647, 3209, 38509, 211219}},
-{14597, 18, 19917, {1, 1, 1, 11, 13, 35, 73, 223, 325, 49, 1317, 4063, 4127, 2755, 555, 51057, 44909, 205723}},
-{14598, 18, 19918, {1, 3, 3, 13, 17, 41, 115, 141, 503, 525, 63, 2487, 3225, 959, 10623, 28577, 89127, 157269}},
-{14599, 18, 19936, {1, 3, 1, 9, 25, 9, 43, 43, 279, 111, 1141, 3033, 7229, 5725, 8277, 59141, 116811, 127945}},
-{14600, 18, 19946, {1, 3, 7, 11, 27, 27, 93, 243, 135, 333, 1475, 1259, 1583, 7191, 6831, 53485, 128819, 174211}},
-{14601, 18, 19954, {1, 3, 3, 3, 17, 17, 43, 251, 433, 1011, 1817, 2835, 7721, 2449, 9463, 23779, 31427, 88127}},
-{14602, 18, 19979, {1, 1, 3, 3, 11, 49, 61, 41, 211, 559, 1761, 1303, 2119, 5743, 25515, 60705, 54405, 241063}},
-{14603, 18, 19993, {1, 1, 3, 11, 7, 61, 15, 115, 29, 35, 187, 3137, 6177, 1449, 32723, 15917, 107851, 101077}},
-{14604, 18, 19994, {1, 3, 5, 13, 21, 7, 11, 231, 417, 73, 1175, 735, 627, 7393, 7233, 39883, 129481, 106733}},
-{14605, 18, 20006, {1, 3, 1, 15, 27, 61, 63, 201, 27, 431, 1127, 1555, 1953, 13051, 18701, 30097, 95549, 198465}},
-{14606, 18, 20017, {1, 1, 3, 1, 23, 25, 43, 85, 291, 85, 1861, 675, 7451, 14701, 3929, 10835, 25569, 154687}},
-{14607, 18, 20032, {1, 3, 7, 15, 5, 43, 91, 225, 283, 259, 1311, 3977, 585, 14803, 14117, 2121, 106981, 157577}},
-{14608, 18, 20038, {1, 1, 1, 11, 7, 51, 49, 115, 477, 861, 1115, 743, 5109, 959, 7105, 9245, 66297, 188751}},
-{14609, 18, 20050, {1, 3, 3, 11, 23, 1, 11, 111, 163, 643, 1907, 3613, 2967, 10071, 6023, 1307, 62341, 241025}},
-{14610, 18, 20080, {1, 3, 5, 5, 15, 29, 31, 43, 445, 219, 1261, 421, 6035, 6461, 25583, 817, 100509, 239637}},
-{14611, 18, 20135, {1, 1, 7, 3, 27, 51, 121, 93, 349, 125, 2013, 1671, 8049, 7807, 7291, 64413, 93625, 245611}},
-{14612, 18, 20142, {1, 3, 3, 9, 11, 1, 91, 137, 501, 617, 1513, 799, 1705, 15737, 14989, 53611, 48781, 64481}},
-{14613, 18, 20159, {1, 3, 3, 1, 21, 55, 95, 79, 383, 617, 1589, 2671, 4057, 13525, 9269, 23539, 13317, 87701}},
-{14614, 18, 20173, {1, 1, 3, 1, 29, 17, 121, 45, 91, 215, 325, 2853, 1213, 10221, 7233, 34063, 21887, 142943}},
-{14615, 18, 20186, {1, 3, 3, 11, 27, 53, 55, 149, 107, 379, 441, 585, 5697, 16353, 5613, 4323, 55315, 197603}},
-{14616, 18, 20229, {1, 3, 7, 3, 31, 9, 71, 175, 485, 35, 675, 2091, 2351, 7985, 14207, 52687, 8559, 1067}},
-{14617, 18, 20234, {1, 1, 5, 15, 29, 37, 9, 73, 357, 961, 489, 875, 7465, 3231, 27821, 42499, 127837, 117215}},
-{14618, 18, 20263, {1, 3, 7, 7, 19, 43, 75, 153, 27, 291, 2039, 2661, 5513, 13429, 27307, 5305, 44771, 200621}},
-{14619, 18, 20270, {1, 1, 1, 15, 5, 39, 61, 107, 201, 485, 319, 335, 5537, 14195, 31861, 63637, 68497, 45637}},
-{14620, 18, 20299, {1, 3, 7, 7, 23, 49, 95, 225, 25, 933, 667, 2993, 2181, 15659, 31343, 20249, 57039, 43399}},
-{14621, 18, 20304, {1, 3, 3, 7, 17, 25, 29, 243, 511, 91, 1409, 203, 2749, 7067, 12471, 41737, 32761, 7535}},
-{14622, 18, 20319, {1, 1, 7, 9, 27, 43, 63, 65, 325, 817, 1127, 2039, 6171, 5867, 10593, 17205, 95913, 207417}},
-{14623, 18, 20329, {1, 1, 7, 3, 3, 51, 107, 153, 193, 579, 593, 2915, 7641, 5157, 1131, 29793, 66579, 81903}},
-{14624, 18, 20337, {1, 1, 5, 15, 19, 61, 125, 107, 235, 513, 1897, 875, 6341, 1817, 10631, 63905, 42993, 150699}},
-{14625, 18, 20353, {1, 1, 3, 11, 27, 1, 93, 107, 325, 459, 1733, 2527, 4557, 2277, 19345, 8205, 67337, 242559}},
-{14626, 18, 20401, {1, 1, 7, 3, 3, 45, 27, 227, 201, 99, 589, 1665, 4851, 2655, 9915, 41321, 59865, 71501}},
-{14627, 18, 20434, {1, 3, 1, 9, 3, 25, 117, 199, 125, 849, 135, 1771, 4743, 13475, 23711, 17389, 52711, 200143}},
-{14628, 18, 20436, {1, 3, 1, 3, 11, 23, 67, 155, 133, 557, 1933, 3169, 1707, 16045, 11039, 13889, 71045, 245885}},
-{14629, 18, 20473, {1, 1, 5, 9, 1, 7, 99, 13, 315, 251, 1289, 225, 2847, 8451, 3139, 46829, 124745, 64825}},
-{14630, 18, 20488, {1, 3, 7, 13, 19, 45, 87, 161, 271, 401, 1995, 935, 1803, 4051, 11709, 26993, 120139, 147895}},
-{14631, 18, 20512, {1, 1, 7, 5, 15, 11, 47, 215, 51, 1019, 2039, 3767, 929, 3845, 3939, 64077, 48115, 61845}},
-{14632, 18, 20515, {1, 1, 1, 5, 1, 39, 15, 77, 179, 13, 1099, 203, 3363, 9071, 12033, 49159, 71137, 124177}},
-{14633, 18, 20517, {1, 3, 5, 5, 1, 31, 83, 219, 387, 347, 1099, 925, 4423, 5081, 15981, 35881, 79131, 248301}},
-{14634, 18, 20530, {1, 3, 7, 3, 25, 19, 53, 43, 347, 845, 1735, 3237, 2795, 2253, 2997, 43729, 122833, 124869}},
-{14635, 18, 20571, {1, 3, 5, 11, 5, 19, 93, 55, 297, 231, 239, 3335, 253, 13607, 16769, 48879, 61439, 54827}},
-{14636, 18, 20574, {1, 3, 7, 11, 11, 55, 121, 73, 19, 1017, 727, 579, 8011, 9559, 15051, 7895, 17609, 103061}},
-{14637, 18, 20589, {1, 1, 7, 5, 19, 47, 85, 195, 75, 1003, 439, 3069, 2107, 12751, 26729, 2329, 1191, 86547}},
-{14638, 18, 20592, {1, 3, 3, 9, 5, 31, 63, 227, 481, 793, 1853, 1491, 2109, 4199, 32149, 45229, 54685, 124819}},
-{14639, 18, 20611, {1, 1, 1, 3, 15, 15, 41, 45, 153, 429, 1691, 1897, 7253, 7239, 26133, 36527, 90319, 186097}},
-{14640, 18, 20613, {1, 3, 1, 13, 15, 33, 103, 113, 121, 387, 177, 1943, 3181, 5483, 18515, 38807, 22655, 59787}},
-{14641, 18, 20628, {1, 1, 5, 7, 15, 3, 53, 155, 99, 133, 579, 2129, 6881, 11091, 26715, 15485, 108071, 230881}},
-{14642, 18, 20637, {1, 1, 3, 13, 25, 61, 91, 81, 9, 1011, 1993, 2485, 3707, 11127, 21279, 15853, 104081, 203769}},
-{14643, 18, 20638, {1, 1, 7, 3, 17, 23, 37, 171, 315, 247, 275, 3215, 7139, 11739, 25859, 34803, 124601, 9169}},
-{14644, 18, 20719, {1, 3, 7, 9, 21, 29, 97, 213, 309, 865, 597, 1811, 5547, 3741, 31927, 53379, 43293, 23589}},
-{14645, 18, 20724, {1, 3, 7, 9, 7, 43, 107, 187, 485, 977, 1329, 3037, 3701, 9667, 13581, 6283, 39221, 63841}},
-{14646, 18, 20772, {1, 1, 3, 11, 3, 51, 117, 45, 293, 409, 689, 153, 1163, 10921, 22709, 30415, 120475, 120751}},
-{14647, 18, 20796, {1, 3, 5, 15, 31, 59, 57, 63, 249, 763, 1627, 3039, 4309, 14115, 25489, 35009, 126609, 146041}},
-{14648, 18, 20799, {1, 1, 1, 9, 3, 47, 21, 183, 495, 361, 1439, 407, 5757, 12645, 11425, 1923, 94511, 205127}},
-{14649, 18, 20816, {1, 3, 1, 9, 15, 5, 101, 107, 385, 175, 791, 901, 4427, 10415, 8163, 14417, 62997, 139309}},
-{14650, 18, 20841, {1, 3, 5, 3, 13, 57, 9, 99, 77, 123, 1607, 3643, 3879, 503, 6021, 60211, 106471, 221801}},
-{14651, 18, 20844, {1, 1, 7, 5, 27, 35, 11, 33, 415, 387, 1461, 741, 55, 15095, 21177, 5715, 109893, 204843}},
-{14652, 18, 20862, {1, 1, 1, 15, 7, 49, 51, 81, 157, 421, 279, 1951, 6847, 10259, 31925, 60761, 12395, 49511}},
-{14653, 18, 20865, {1, 3, 7, 11, 5, 33, 27, 135, 247, 813, 1889, 2547, 2359, 9535, 4141, 59713, 88685, 214641}},
-{14654, 18, 20902, {1, 1, 5, 15, 17, 61, 99, 103, 39, 151, 1033, 2743, 6639, 5271, 22059, 12681, 22763, 88255}},
-{14655, 18, 20938, {1, 1, 7, 13, 5, 11, 39, 139, 353, 989, 1391, 169, 3709, 735, 22965, 227, 103623, 153893}},
-{14656, 18, 20957, {1, 1, 7, 3, 9, 51, 53, 87, 411, 617, 671, 681, 5057, 6003, 23137, 30881, 2289, 187133}},
-{14657, 18, 20971, {1, 1, 7, 7, 17, 59, 77, 219, 25, 53, 145, 129, 4289, 14257, 7159, 44833, 22131, 53393}},
-{14658, 18, 20973, {1, 3, 7, 1, 9, 59, 79, 177, 149, 637, 1641, 3713, 2709, 12321, 5691, 18239, 8617, 225979}},
-{14659, 18, 20981, {1, 1, 7, 5, 9, 9, 67, 51, 451, 815, 295, 813, 1257, 179, 28769, 57241, 51753, 164873}},
-{14660, 18, 20982, {1, 3, 1, 9, 19, 61, 53, 65, 29, 503, 715, 1837, 7487, 16187, 27303, 54681, 98753, 100471}},
-{14661, 18, 20985, {1, 1, 3, 1, 15, 51, 1, 79, 179, 367, 841, 1313, 797, 4777, 1369, 13317, 65059, 204877}},
-{14662, 18, 20991, {1, 3, 5, 9, 15, 19, 109, 45, 473, 517, 1139, 15, 1997, 4245, 11169, 56417, 75017, 37957}},
-{14663, 18, 21012, {1, 1, 7, 1, 3, 41, 75, 95, 59, 503, 1439, 2633, 3527, 5363, 24357, 43659, 10387, 208319}},
-{14664, 18, 21022, {1, 1, 5, 1, 31, 7, 71, 231, 505, 241, 1579, 3517, 3995, 8269, 6793, 15883, 102779, 75589}},
-{14665, 18, 21026, {1, 3, 5, 1, 13, 61, 87, 213, 501, 307, 1629, 2715, 7245, 747, 20601, 28105, 79249, 76231}},
-{14666, 18, 21028, {1, 1, 7, 11, 5, 13, 69, 221, 485, 59, 2027, 483, 6851, 11719, 16787, 54111, 47579, 49959}},
-{14667, 18, 21050, {1, 1, 3, 15, 3, 33, 57, 75, 375, 45, 851, 1673, 8167, 867, 32087, 34157, 96701, 72893}},
-{14668, 18, 21075, {1, 1, 3, 1, 21, 31, 65, 85, 181, 453, 815, 3139, 205, 429, 7451, 50855, 41085, 137927}},
-{14669, 18, 21077, {1, 3, 1, 9, 3, 57, 99, 183, 305, 991, 809, 4021, 3131, 4459, 5839, 32493, 116541, 59329}},
-{14670, 18, 21078, {1, 3, 7, 1, 5, 19, 3, 91, 297, 715, 1081, 445, 393, 12685, 4457, 61437, 103701, 75917}},
-{14671, 18, 21106, {1, 1, 7, 15, 17, 39, 19, 255, 247, 391, 1055, 1241, 4515, 10217, 23363, 40301, 115053, 234349}},
-{14672, 18, 21122, {1, 3, 5, 1, 21, 9, 33, 243, 501, 793, 219, 3595, 2585, 5083, 15377, 35761, 90609, 93761}},
-{14673, 18, 21127, {1, 1, 5, 13, 3, 1, 5, 77, 265, 525, 1107, 1879, 1119, 2277, 30557, 43547, 81947, 134075}},
-{14674, 18, 21155, {1, 1, 7, 5, 11, 47, 71, 83, 255, 183, 515, 2591, 3933, 16025, 16727, 43421, 18725, 106675}},
-{14675, 18, 21167, {1, 3, 1, 1, 5, 17, 57, 209, 509, 421, 1247, 3153, 1835, 8777, 13285, 27699, 34001, 186553}},
-{14676, 18, 21169, {1, 1, 3, 11, 27, 19, 73, 65, 179, 115, 845, 2507, 7673, 14429, 10553, 4999, 82323, 247379}},
-{14677, 18, 21204, {1, 3, 7, 7, 17, 59, 97, 183, 407, 697, 1423, 123, 6479, 3997, 729, 31587, 114383, 61673}},
-{14678, 18, 21230, {1, 1, 5, 9, 21, 23, 21, 153, 187, 255, 125, 1469, 2639, 8099, 29689, 36415, 103959, 231621}},
-{14679, 18, 21256, {1, 1, 3, 11, 19, 59, 115, 205, 123, 133, 1953, 3471, 2495, 329, 32385, 21931, 9691, 51405}},
-{14680, 18, 21285, {1, 3, 3, 13, 7, 7, 115, 65, 301, 621, 1091, 2137, 5729, 5027, 21331, 24803, 114789, 142039}},
-{14681, 18, 21312, {1, 1, 7, 5, 31, 19, 103, 69, 503, 663, 1497, 2867, 5295, 893, 15927, 37513, 94553, 72369}},
-{14682, 18, 21329, {1, 3, 3, 15, 17, 33, 99, 249, 277, 259, 9, 99, 3073, 12017, 14847, 7685, 102499, 26489}},
-{14683, 18, 21351, {1, 1, 1, 1, 5, 23, 31, 45, 29, 483, 1977, 1129, 6925, 2273, 16573, 53039, 90251, 137191}},
-{14684, 18, 21372, {1, 3, 1, 13, 27, 47, 29, 51, 473, 895, 671, 3917, 6905, 15769, 9019, 28879, 120591, 220753}},
-{14685, 18, 21376, {1, 3, 1, 13, 27, 29, 53, 255, 507, 819, 1251, 2463, 1717, 14461, 31997, 30829, 8803, 115539}},
-{14686, 18, 21424, {1, 3, 3, 15, 27, 1, 109, 225, 451, 409, 2025, 2701, 4121, 9949, 1551, 13625, 73577, 211549}},
-{14687, 18, 21448, {1, 1, 1, 3, 23, 57, 49, 35, 365, 711, 2001, 997, 1853, 2913, 15667, 30255, 19535, 2171}},
-{14688, 18, 21465, {1, 1, 7, 1, 21, 37, 127, 3, 117, 449, 1689, 1391, 1427, 12641, 15199, 23769, 66553, 34669}},
-{14689, 18, 21495, {1, 3, 7, 9, 31, 45, 51, 137, 181, 469, 573, 89, 7257, 10991, 30705, 37827, 75071, 152885}},
-{14690, 18, 21509, {1, 3, 1, 1, 19, 13, 55, 223, 261, 353, 1497, 183, 8173, 14421, 9977, 24095, 47215, 155189}},
-{14691, 18, 21550, {1, 1, 3, 15, 15, 41, 31, 105, 459, 27, 299, 159, 2167, 14809, 9983, 2755, 121715, 35921}},
-{14692, 18, 21562, {1, 1, 3, 7, 31, 5, 85, 137, 431, 849, 1479, 2681, 167, 5727, 3211, 30765, 63295, 39509}},
-{14693, 18, 21575, {1, 1, 5, 7, 5, 51, 21, 103, 175, 927, 1115, 1507, 505, 8093, 25831, 54303, 40397, 61249}},
-{14694, 18, 21579, {1, 1, 7, 3, 23, 53, 49, 225, 7, 425, 403, 3949, 1081, 15335, 21737, 647, 107875, 236183}},
-{14695, 18, 21582, {1, 1, 5, 7, 17, 21, 85, 229, 325, 57, 601, 2785, 6417, 5135, 17917, 12861, 97675, 115457}},
-{14696, 18, 21600, {1, 1, 3, 3, 13, 23, 73, 111, 385, 47, 605, 1169, 1729, 2335, 18739, 61293, 41915, 237645}},
-{14697, 18, 21615, {1, 1, 1, 5, 31, 11, 123, 13, 465, 755, 1073, 1885, 2105, 5971, 2347, 10911, 125823, 156037}},
-{14698, 18, 21617, {1, 3, 7, 11, 17, 47, 3, 165, 227, 355, 87, 839, 7741, 12275, 28579, 25337, 87671, 224847}},
-{14699, 18, 21624, {1, 1, 5, 15, 23, 33, 9, 1, 257, 121, 1049, 1009, 187, 9935, 26093, 21921, 130247, 240291}},
-{14700, 18, 21633, {1, 1, 3, 13, 13, 27, 87, 221, 27, 117, 551, 2533, 7611, 5333, 14635, 9911, 37555, 250621}},
-{14701, 18, 21636, {1, 3, 7, 15, 29, 39, 33, 1, 495, 889, 1397, 3415, 7193, 11533, 27379, 36425, 13739, 146635}},
-{14702, 18, 21645, {1, 1, 7, 11, 1, 23, 85, 127, 79, 989, 321, 1913, 7571, 9889, 11803, 1307, 120513, 218077}},
-{14703, 18, 21654, {1, 1, 7, 5, 5, 15, 35, 9, 351, 973, 1455, 2043, 5527, 9431, 16059, 53915, 105785, 180579}},
-{14704, 18, 21660, {1, 1, 1, 13, 13, 45, 15, 41, 131, 463, 1011, 3559, 6393, 4737, 6041, 33073, 60989, 56761}},
-{14705, 18, 21667, {1, 1, 3, 9, 31, 35, 23, 133, 33, 233, 543, 957, 4913, 12441, 10293, 31611, 83383, 154551}},
-{14706, 18, 21702, {1, 3, 3, 1, 29, 37, 117, 247, 345, 197, 1617, 3333, 7901, 8343, 55, 16529, 34627, 172703}},
-{14707, 18, 21714, {1, 1, 1, 13, 23, 51, 7, 219, 503, 215, 375, 2275, 5467, 13953, 13987, 22735, 67505, 185977}},
-{14708, 18, 21719, {1, 3, 5, 5, 29, 53, 85, 147, 167, 409, 853, 667, 4431, 5227, 15535, 34375, 107135, 220637}},
-{14709, 18, 21736, {1, 3, 7, 7, 19, 3, 73, 123, 455, 539, 1735, 1423, 5337, 16311, 15469, 36071, 126437, 219249}},
-{14710, 18, 21767, {1, 1, 1, 3, 19, 49, 17, 133, 101, 1013, 683, 869, 6267, 409, 31379, 2535, 8039, 63205}},
-{14711, 18, 21781, {1, 1, 1, 13, 13, 53, 25, 31, 501, 629, 645, 1811, 3675, 13317, 17009, 7359, 85475, 249823}},
-{14712, 18, 21795, {1, 1, 3, 11, 5, 1, 41, 17, 159, 361, 1439, 2083, 1425, 7221, 9117, 59543, 59285, 188615}},
-{14713, 18, 21841, {1, 3, 7, 1, 11, 27, 71, 121, 471, 749, 1983, 3715, 6463, 5793, 1063, 18201, 189, 243751}},
-{14714, 18, 21853, {1, 3, 3, 11, 19, 17, 15, 175, 379, 683, 1491, 2385, 6981, 1183, 16829, 2103, 9309, 46119}},
-{14715, 18, 21867, {1, 1, 7, 5, 17, 39, 109, 9, 279, 309, 1, 1523, 4551, 3855, 13277, 36125, 54191, 45085}},
-{14716, 18, 21878, {1, 3, 5, 3, 9, 59, 51, 5, 431, 657, 161, 2725, 2401, 9743, 12925, 43501, 51551, 163737}},
-{14717, 18, 21891, {1, 1, 5, 3, 9, 13, 7, 177, 121, 795, 1169, 3169, 3793, 3995, 29027, 32967, 82273, 207939}},
-{14718, 18, 21897, {1, 3, 7, 13, 1, 1, 31, 91, 245, 775, 1589, 2263, 6303, 15787, 3111, 52553, 52507, 183971}},
-{14719, 18, 21954, {1, 3, 5, 11, 15, 49, 73, 191, 67, 449, 1245, 2445, 5617, 8625, 27971, 35939, 76907, 76207}},
-{14720, 18, 21956, {1, 3, 1, 11, 15, 47, 29, 91, 437, 895, 1941, 249, 2739, 15479, 29699, 7257, 39897, 65985}},
-{14721, 18, 21965, {1, 3, 5, 7, 13, 23, 45, 113, 297, 373, 1505, 2317, 7509, 12059, 13737, 29081, 87337, 221917}},
-{14722, 18, 21977, {1, 3, 3, 3, 1, 5, 13, 215, 221, 461, 1337, 3569, 2257, 12135, 14685, 39721, 16723, 234791}},
-{14723, 18, 21978, {1, 1, 7, 5, 11, 25, 71, 103, 87, 533, 779, 379, 6695, 13451, 24801, 49235, 35109, 100865}},
-{14724, 18, 21983, {1, 3, 3, 15, 13, 51, 27, 11, 279, 847, 135, 1119, 2765, 3805, 20273, 29089, 83379, 190353}},
-{14725, 18, 22002, {1, 3, 7, 5, 17, 29, 111, 35, 189, 273, 503, 541, 6691, 9051, 10403, 7559, 54787, 25403}},
-{14726, 18, 22013, {1, 3, 5, 9, 21, 29, 85, 235, 223, 677, 71, 1313, 6587, 10983, 199, 27721, 78627, 105505}},
-{14727, 18, 22014, {1, 3, 1, 3, 13, 3, 123, 115, 173, 907, 1555, 1489, 2745, 6451, 25347, 24105, 66471, 181009}},
-{14728, 18, 22054, {1, 1, 7, 1, 31, 15, 13, 97, 511, 827, 1193, 3081, 1517, 13511, 24887, 39239, 85175, 150213}},
-{14729, 18, 22058, {1, 1, 1, 5, 17, 39, 121, 67, 207, 877, 1885, 171, 2687, 13081, 27267, 58699, 118575, 213025}},
-{14730, 18, 22066, {1, 1, 3, 9, 9, 27, 101, 215, 31, 37, 1629, 3631, 3225, 9667, 31547, 41939, 38683, 150805}},
-{14731, 18, 22085, {1, 3, 1, 11, 11, 59, 17, 15, 187, 667, 747, 2193, 6749, 6019, 31805, 52433, 4141, 52613}},
-{14732, 18, 22103, {1, 3, 3, 13, 9, 1, 51, 101, 213, 881, 899, 2197, 3017, 1591, 9271, 44017, 99893, 192005}},
-{14733, 18, 22138, {1, 3, 7, 13, 23, 41, 79, 83, 123, 585, 49, 849, 2133, 12473, 6907, 15487, 45783, 46609}},
-{14734, 18, 22140, {1, 3, 7, 13, 27, 23, 71, 13, 319, 903, 1123, 933, 2603, 11631, 19953, 47001, 127751, 84547}},
-{14735, 18, 22153, {1, 1, 1, 15, 3, 61, 79, 231, 43, 217, 801, 997, 6545, 13657, 25589, 30435, 49497, 1037}},
-{14736, 18, 22164, {1, 3, 3, 3, 21, 29, 121, 35, 129, 239, 1645, 3147, 7647, 1201, 19287, 7075, 67961, 62481}},
-{14737, 18, 22167, {1, 3, 7, 7, 3, 23, 45, 177, 469, 897, 359, 2521, 2079, 985, 14993, 56813, 20667, 187341}},
-{14738, 18, 22189, {1, 3, 5, 7, 23, 53, 15, 45, 297, 93, 247, 1165, 2683, 5899, 7113, 14859, 22733, 173835}},
-{14739, 18, 22202, {1, 1, 3, 15, 23, 17, 43, 179, 103, 197, 1857, 323, 267, 12417, 2343, 41527, 12243, 112023}},
-{14740, 18, 22212, {1, 3, 7, 13, 7, 43, 75, 19, 169, 621, 735, 141, 3087, 765, 5901, 34029, 117603, 5137}},
-{14741, 18, 22234, {1, 1, 3, 5, 15, 17, 67, 177, 371, 249, 99, 1651, 3701, 343, 435, 50307, 33915, 115391}},
-{14742, 18, 22239, {1, 1, 3, 13, 19, 53, 69, 1, 435, 71, 339, 2289, 1591, 8783, 8087, 25855, 115311, 191115}},
-{14743, 18, 22245, {1, 3, 5, 11, 1, 55, 59, 7, 101, 655, 353, 483, 5681, 12721, 15973, 51377, 94921, 246365}},
-{14744, 18, 22272, {1, 3, 5, 3, 25, 23, 99, 145, 277, 741, 595, 2653, 1393, 2867, 271, 49131, 111973, 118869}},
-{14745, 18, 22308, {1, 1, 7, 13, 11, 51, 127, 27, 305, 265, 1755, 3189, 4679, 9721, 24409, 46941, 94353, 95643}},
-{14746, 18, 22318, {1, 1, 5, 11, 1, 63, 53, 149, 459, 155, 1431, 3969, 3417, 12121, 14535, 52089, 110745, 57}},
-{14747, 18, 22320, {1, 1, 5, 9, 23, 33, 17, 175, 313, 185, 101, 531, 2941, 14999, 31413, 12103, 33709, 260555}},
-{14748, 18, 22338, {1, 1, 3, 13, 3, 11, 67, 95, 211, 673, 23, 2379, 6985, 12101, 13021, 9255, 116437, 228877}},
-{14749, 18, 22350, {1, 1, 3, 15, 7, 51, 25, 109, 45, 691, 869, 485, 111, 11465, 27953, 54375, 10805, 221023}},
-{14750, 18, 22374, {1, 3, 7, 7, 17, 53, 59, 101, 221, 593, 587, 873, 931, 14617, 12067, 58655, 102437, 31675}},
-{14751, 18, 22388, {1, 1, 3, 15, 25, 57, 35, 231, 491, 671, 933, 3525, 1237, 10155, 27501, 50781, 23183, 108283}},
-{14752, 18, 22391, {1, 3, 5, 5, 31, 63, 117, 205, 199, 841, 1455, 3901, 2127, 13573, 20667, 49489, 60217, 197421}},
-{14753, 18, 22422, {1, 1, 3, 7, 15, 21, 73, 211, 421, 873, 607, 709, 9, 10985, 28653, 64579, 118145, 3095}},
-{14754, 18, 22426, {1, 1, 1, 13, 17, 53, 27, 105, 201, 399, 737, 3235, 1287, 13859, 6049, 62249, 88259, 52991}},
-{14755, 18, 22441, {1, 3, 7, 7, 25, 45, 67, 147, 275, 315, 1675, 2289, 4611, 6325, 26617, 38079, 125219, 23569}},
-{14756, 18, 22481, {1, 1, 7, 7, 9, 61, 115, 251, 297, 691, 1881, 1815, 7229, 10859, 8257, 38097, 87927, 162845}},
-{14757, 18, 22488, {1, 3, 3, 9, 9, 59, 17, 207, 433, 825, 93, 697, 7263, 15983, 14829, 47471, 17579, 151519}},
-{14758, 18, 22500, {1, 1, 1, 11, 21, 31, 7, 41, 383, 731, 2033, 3417, 4187, 5515, 10093, 15875, 78551, 2057}},
-{14759, 18, 22517, {1, 3, 7, 15, 5, 29, 7, 171, 129, 727, 1815, 1361, 6137, 10333, 22203, 361, 92437, 6545}},
-{14760, 18, 22531, {1, 1, 3, 13, 25, 45, 111, 69, 333, 365, 765, 2755, 3485, 2729, 23467, 64809, 120755, 169279}},
-{14761, 18, 22552, {1, 1, 3, 1, 19, 13, 33, 165, 157, 429, 1175, 3435, 7523, 5055, 12295, 34309, 36933, 164037}},
-{14762, 18, 22574, {1, 1, 3, 11, 31, 49, 37, 161, 465, 311, 1839, 689, 6837, 13473, 29883, 61587, 86077, 156921}},
-{14763, 18, 22579, {1, 3, 3, 1, 3, 23, 69, 159, 501, 303, 1495, 9, 6055, 545, 12247, 23413, 67247, 38137}},
-{14764, 18, 22582, {1, 1, 5, 15, 5, 39, 107, 121, 295, 167, 1055, 2703, 147, 7291, 3981, 51989, 92953, 225987}},
-{14765, 18, 22586, {1, 3, 1, 1, 21, 5, 91, 129, 57, 53, 365, 2497, 5017, 13535, 19305, 60447, 115467, 225317}},
-{14766, 18, 22594, {1, 3, 1, 7, 25, 17, 51, 15, 119, 1013, 719, 991, 2655, 12587, 15749, 11723, 18461, 155937}},
-{14767, 18, 22611, {1, 3, 7, 3, 25, 33, 59, 135, 501, 813, 235, 3775, 2781, 13137, 32673, 31643, 78881, 207651}},
-{14768, 18, 22614, {1, 1, 7, 13, 27, 51, 99, 189, 187, 577, 941, 1275, 7297, 14731, 12599, 49049, 96439, 35093}},
-{14769, 18, 22700, {1, 3, 1, 15, 9, 45, 1, 149, 305, 231, 935, 1377, 6345, 14795, 20969, 26263, 5711, 146949}},
-{14770, 18, 22711, {1, 1, 5, 9, 5, 9, 47, 127, 105, 517, 671, 67, 4639, 2477, 23109, 56707, 72131, 100709}},
-{14771, 18, 22749, {1, 3, 5, 3, 21, 23, 7, 193, 491, 197, 319, 3207, 2183, 2133, 3127, 34555, 53707, 170875}},
-{14772, 18, 22759, {1, 1, 3, 9, 5, 23, 109, 91, 359, 913, 179, 1031, 3617, 12497, 23299, 53293, 114603, 9931}},
-{14773, 18, 22774, {1, 3, 1, 5, 1, 47, 73, 103, 333, 483, 1015, 3085, 5229, 3171, 16539, 13493, 68957, 177645}},
-{14774, 18, 22777, {1, 1, 1, 9, 27, 15, 25, 255, 383, 501, 831, 2463, 237, 16065, 6991, 56503, 117303, 140573}},
-{14775, 18, 22780, {1, 1, 3, 5, 9, 25, 15, 179, 415, 729, 1163, 2649, 2907, 9591, 29129, 42775, 80537, 139897}},
-{14776, 18, 22783, {1, 1, 3, 7, 31, 15, 113, 1, 263, 685, 1953, 1479, 5143, 8585, 9057, 61479, 122065, 191541}},
-{14777, 18, 22785, {1, 3, 1, 11, 25, 47, 25, 229, 463, 197, 1123, 2665, 2345, 11701, 10435, 15205, 35437, 137619}},
-{14778, 18, 22840, {1, 3, 3, 5, 19, 57, 89, 101, 373, 283, 57, 1701, 5025, 6677, 20321, 58459, 9319, 161501}},
-{14779, 18, 22878, {1, 1, 1, 13, 3, 51, 111, 23, 325, 813, 441, 2371, 1993, 6839, 359, 9873, 33719, 208163}},
-{14780, 18, 22884, {1, 3, 1, 11, 23, 53, 35, 89, 91, 601, 433, 1671, 1919, 2115, 6355, 10639, 87305, 194185}},
-{14781, 18, 22888, {1, 1, 5, 9, 29, 31, 43, 153, 209, 835, 865, 2431, 1085, 9771, 14483, 19551, 98673, 146881}},
-{14782, 18, 22927, {1, 1, 7, 3, 7, 33, 49, 111, 111, 843, 479, 2113, 4575, 14911, 5161, 7153, 37525, 217887}},
-{14783, 18, 22941, {1, 1, 7, 9, 27, 5, 23, 217, 11, 79, 1637, 2047, 6697, 5601, 2877, 63497, 100127, 157833}},
-{14784, 18, 22951, {1, 1, 7, 11, 31, 41, 91, 39, 207, 185, 1163, 2115, 2963, 7605, 12597, 54175, 7221, 117129}},
-{14785, 18, 22958, {1, 3, 7, 13, 9, 15, 3, 47, 281, 451, 1111, 3585, 4505, 9465, 8047, 45893, 27179, 124373}},
-{14786, 18, 22980, {1, 3, 5, 11, 27, 29, 11, 221, 483, 29, 17, 1067, 6761, 39, 13419, 7263, 127547, 178951}},
-{14787, 18, 23007, {1, 3, 5, 5, 19, 3, 51, 155, 41, 251, 851, 1191, 4445, 8337, 25339, 32931, 4743, 31883}},
-{14788, 18, 23032, {1, 3, 7, 15, 9, 3, 113, 151, 239, 611, 381, 1141, 2865, 3071, 7293, 61997, 2891, 14533}},
-{14789, 18, 23041, {1, 3, 5, 3, 15, 59, 3, 37, 385, 587, 837, 2483, 5493, 10571, 26129, 44835, 63425, 246953}},
-{14790, 18, 23044, {1, 3, 5, 13, 9, 9, 93, 11, 139, 619, 581, 2859, 5481, 11941, 20661, 37463, 95369, 177009}},
-{14791, 18, 23059, {1, 1, 7, 11, 7, 17, 89, 7, 479, 377, 1631, 509, 7429, 13733, 24011, 24191, 98409, 180761}},
-{14792, 18, 23065, {1, 3, 7, 1, 5, 17, 51, 113, 181, 75, 1787, 2221, 6181, 16069, 3031, 32531, 107833, 239907}},
-{14793, 18, 23072, {1, 1, 5, 11, 3, 25, 13, 35, 311, 865, 873, 1811, 3101, 4445, 18155, 18647, 55693, 144963}},
-{14794, 18, 23137, {1, 3, 7, 13, 1, 9, 73, 189, 255, 301, 1579, 597, 6027, 15621, 27287, 14615, 76051, 143445}},
-{14795, 18, 23144, {1, 3, 1, 13, 19, 59, 11, 97, 501, 857, 1071, 3633, 8059, 2469, 16803, 49395, 73631, 114297}},
-{14796, 18, 23155, {1, 1, 1, 5, 19, 3, 59, 179, 343, 745, 497, 2965, 3841, 3119, 17707, 31577, 39801, 108819}},
-{14797, 18, 23162, {1, 3, 3, 9, 11, 17, 19, 199, 283, 229, 493, 631, 8133, 1531, 25271, 11353, 114759, 70655}},
-{14798, 18, 23167, {1, 1, 7, 7, 3, 11, 1, 95, 167, 863, 1009, 1695, 2773, 11667, 23515, 12927, 87883, 28773}},
-{14799, 18, 23183, {1, 3, 1, 15, 9, 1, 31, 243, 57, 349, 483, 659, 1971, 7971, 23797, 4403, 83837, 239261}},
-{14800, 18, 23192, {1, 3, 7, 5, 11, 17, 55, 5, 209, 233, 1969, 925, 695, 1321, 11965, 29849, 120519, 195105}},
-{14801, 18, 23197, {1, 3, 7, 11, 9, 45, 27, 9, 57, 649, 1801, 2653, 1535, 45, 8901, 28755, 26475, 112341}},
-{14802, 18, 23216, {1, 1, 3, 13, 11, 57, 103, 213, 193, 779, 541, 3685, 4191, 6105, 7199, 63659, 49673, 208361}},
-{14803, 18, 23221, {1, 3, 3, 7, 15, 15, 9, 207, 387, 429, 1213, 1703, 5753, 10261, 8705, 62783, 9643, 248591}},
-{14804, 18, 23228, {1, 3, 3, 15, 23, 17, 5, 83, 295, 685, 2003, 1723, 2799, 14699, 25171, 20275, 45597, 214107}},
-{14805, 18, 23233, {1, 1, 1, 15, 13, 33, 111, 69, 329, 273, 1303, 3377, 4151, 12547, 20411, 54845, 7839, 173939}},
-{14806, 18, 23234, {1, 1, 5, 15, 25, 31, 11, 75, 69, 501, 1485, 3659, 3889, 9715, 9633, 45313, 112377, 27799}},
-{14807, 18, 23251, {1, 1, 3, 11, 31, 27, 7, 25, 315, 593, 315, 275, 1453, 9429, 10023, 17939, 37651, 217435}},
-{14808, 18, 23257, {1, 3, 7, 7, 27, 41, 69, 95, 19, 763, 1733, 2097, 6723, 7051, 15209, 53047, 56117, 87639}},
-{14809, 18, 23258, {1, 3, 7, 5, 15, 61, 31, 19, 361, 571, 727, 405, 835, 4847, 26777, 50311, 104125, 127197}},
-{14810, 18, 23288, {1, 1, 1, 11, 11, 61, 59, 63, 409, 219, 1135, 3385, 5583, 16143, 22709, 31247, 19871, 68557}},
-{14811, 18, 23302, {1, 3, 7, 1, 11, 3, 121, 41, 135, 427, 1267, 2169, 507, 757, 12411, 50655, 75625, 1199}},
-{14812, 18, 23341, {1, 1, 7, 5, 17, 21, 89, 119, 55, 395, 979, 909, 1711, 3289, 8433, 9, 12743, 109027}},
-{14813, 18, 23373, {1, 1, 1, 13, 5, 11, 93, 35, 437, 173, 1157, 2749, 6855, 8307, 26145, 22593, 125415, 65509}},
-{14814, 18, 23402, {1, 1, 5, 3, 25, 27, 1, 173, 113, 373, 1769, 2941, 1895, 3399, 27665, 50613, 20747, 31903}},
-{14815, 18, 23409, {1, 1, 1, 1, 9, 7, 53, 73, 465, 725, 1537, 579, 83, 925, 15507, 13595, 16927, 205087}},
-{14816, 18, 23428, {1, 1, 3, 7, 7, 23, 31, 127, 27, 727, 1305, 3879, 817, 15995, 28607, 22695, 6367, 161587}},
-{14817, 18, 23435, {1, 3, 1, 7, 29, 23, 27, 117, 279, 917, 1105, 2061, 7719, 13633, 16501, 33739, 71939, 143115}},
-{14818, 18, 23440, {1, 3, 7, 11, 7, 27, 65, 133, 411, 441, 925, 1485, 2035, 3067, 14511, 58511, 120773, 228731}},
-{14819, 18, 23449, {1, 1, 3, 9, 21, 55, 27, 73, 175, 395, 1201, 2599, 3839, 11163, 5057, 3385, 43265, 105211}},
-{14820, 18, 23459, {1, 1, 1, 3, 7, 63, 91, 197, 417, 763, 1391, 3729, 2791, 1975, 23655, 50611, 110315, 86879}},
-{14821, 18, 23473, {1, 3, 3, 5, 31, 35, 67, 67, 89, 933, 1005, 1837, 5947, 2559, 27731, 25151, 102959, 81557}},
-{14822, 18, 23500, {1, 3, 3, 1, 3, 39, 57, 199, 87, 91, 1641, 3407, 2823, 10441, 26357, 56677, 17647, 86831}},
-{14823, 18, 23511, {1, 3, 5, 7, 15, 5, 49, 227, 395, 837, 1707, 1677, 1907, 13101, 1929, 61701, 1479, 80671}},
-{14824, 18, 23548, {1, 1, 1, 11, 17, 57, 37, 151, 61, 709, 2027, 2239, 3283, 5467, 17221, 40759, 91637, 258167}},
-{14825, 18, 23560, {1, 3, 5, 11, 27, 29, 121, 181, 503, 705, 225, 1111, 7183, 3219, 3233, 2085, 113619, 32959}},
-{14826, 18, 23563, {1, 1, 7, 5, 29, 31, 93, 113, 457, 161, 337, 2003, 1865, 13357, 19961, 51485, 62751, 111285}},
-{14827, 18, 23594, {1, 3, 1, 1, 23, 25, 65, 99, 11, 835, 661, 3291, 2655, 1135, 19957, 5029, 110483, 2499}},
-{14828, 18, 23601, {1, 1, 1, 1, 25, 21, 59, 203, 471, 697, 455, 1561, 3215, 609, 5097, 8715, 115705, 21441}},
-{14829, 18, 23625, {1, 1, 5, 13, 27, 37, 15, 175, 191, 975, 977, 401, 7053, 14291, 14621, 48989, 113033, 172569}},
-{14830, 18, 23640, {1, 3, 1, 1, 19, 11, 125, 53, 307, 421, 93, 2487, 5907, 2195, 30569, 21009, 20759, 246937}},
-{14831, 18, 23650, {1, 3, 7, 3, 23, 21, 103, 115, 453, 537, 473, 1069, 3007, 15111, 3477, 5635, 46423, 68633}},
-{14832, 18, 23662, {1, 3, 3, 1, 21, 1, 49, 197, 173, 775, 1877, 1309, 729, 3555, 5981, 32539, 22765, 171077}},
-{14833, 18, 23692, {1, 1, 3, 13, 19, 5, 75, 149, 441, 665, 1567, 2433, 8173, 12639, 27479, 47221, 66203, 89017}},
-{14834, 18, 23726, {1, 1, 1, 11, 1, 55, 99, 119, 491, 621, 619, 2521, 905, 11601, 26481, 2023, 127413, 220387}},
-{14835, 18, 23738, {1, 1, 7, 11, 9, 21, 57, 93, 243, 229, 1445, 997, 1317, 2327, 14141, 45787, 82295, 72823}},
-{14836, 18, 23743, {1, 3, 7, 3, 11, 7, 115, 143, 349, 507, 1047, 2573, 2491, 13351, 19019, 4857, 62781, 261261}},
-{14837, 18, 23755, {1, 1, 3, 1, 1, 13, 45, 227, 41, 947, 693, 2853, 7459, 1485, 22087, 61195, 111771, 136389}},
-{14838, 18, 23760, {1, 1, 3, 11, 13, 53, 49, 15, 425, 29, 681, 1493, 1385, 9555, 13291, 36735, 12351, 29293}},
-{14839, 18, 23799, {1, 1, 3, 1, 5, 19, 37, 45, 69, 209, 365, 3949, 6163, 5207, 9297, 21147, 71437, 40487}},
-{14840, 18, 23848, {1, 3, 3, 13, 31, 21, 9, 177, 95, 285, 1953, 1969, 7367, 7401, 12017, 9939, 11895, 213133}},
-{14841, 18, 23859, {1, 1, 7, 1, 1, 63, 103, 141, 39, 679, 123, 2941, 4335, 199, 12237, 6599, 48641, 140063}},
-{14842, 18, 23876, {1, 3, 7, 3, 31, 17, 21, 77, 65, 979, 109, 3325, 1781, 6983, 31477, 23149, 33943, 96137}},
-{14843, 18, 23897, {1, 3, 3, 5, 21, 5, 125, 117, 427, 381, 511, 2643, 409, 4945, 3167, 45879, 1469, 56077}},
-{14844, 18, 23907, {1, 3, 1, 5, 27, 43, 83, 31, 65, 645, 1205, 1387, 723, 15359, 13517, 23601, 61717, 47079}},
-{14845, 18, 23919, {1, 3, 3, 13, 15, 37, 101, 175, 225, 513, 483, 1291, 669, 5335, 16023, 287, 51819, 239803}},
-{14846, 18, 23921, {1, 3, 3, 3, 3, 1, 75, 175, 185, 949, 673, 2239, 4355, 10687, 27093, 37409, 23193, 211819}},
-{14847, 18, 23931, {1, 1, 3, 13, 21, 3, 41, 55, 243, 501, 285, 7, 6291, 7725, 17051, 45753, 115117, 14323}},
-{14848, 18, 23933, {1, 1, 1, 5, 13, 11, 51, 175, 435, 673, 67, 1525, 323, 5739, 19977, 62317, 97511, 130883}},
-{14849, 18, 23943, {1, 3, 5, 11, 7, 11, 97, 59, 295, 409, 453, 2439, 5217, 10315, 469, 31187, 17325, 158079}},
-{14850, 18, 23957, {1, 1, 3, 5, 31, 9, 15, 63, 411, 427, 277, 2687, 5021, 1507, 22453, 35559, 122081, 121669}},
-{14851, 18, 23986, {1, 3, 5, 13, 3, 21, 69, 51, 27, 571, 1981, 2729, 5733, 1225, 26821, 43763, 57355, 169279}},
-{14852, 18, 24020, {1, 1, 1, 13, 31, 37, 33, 19, 313, 341, 1141, 1689, 4511, 789, 15317, 61263, 79371, 65157}},
-{14853, 18, 24043, {1, 3, 3, 15, 27, 41, 107, 23, 499, 339, 273, 1937, 2743, 10879, 27127, 64817, 1217, 45863}},
-{14854, 18, 24064, {1, 1, 5, 9, 19, 43, 125, 223, 473, 489, 1999, 1513, 6479, 9511, 12503, 29419, 22559, 209499}},
-{14855, 18, 24082, {1, 3, 1, 13, 25, 55, 53, 61, 303, 337, 1325, 2525, 6503, 1155, 6841, 58167, 8175, 183949}},
-{14856, 18, 24084, {1, 3, 3, 11, 3, 15, 55, 105, 497, 527, 1007, 3545, 4187, 8723, 12761, 20751, 101583, 225373}},
-{14857, 18, 24088, {1, 3, 3, 9, 19, 59, 57, 215, 313, 871, 407, 2475, 879, 15147, 31945, 23939, 104073, 217619}},
-{14858, 18, 24117, {1, 1, 3, 1, 27, 23, 3, 43, 471, 757, 1525, 3003, 2779, 6731, 12423, 59621, 72935, 192283}},
-{14859, 18, 24149, {1, 3, 1, 7, 13, 23, 13, 91, 95, 745, 639, 2627, 4595, 11735, 4143, 23573, 98647, 171201}},
-{14860, 18, 24165, {1, 1, 1, 15, 3, 61, 33, 181, 351, 777, 1365, 1691, 2465, 5289, 24567, 8059, 95301, 75855}},
-{14861, 18, 24223, {1, 3, 5, 13, 1, 57, 57, 187, 1, 601, 563, 1703, 1307, 14673, 7793, 44589, 7629, 254071}},
-{14862, 18, 24247, {1, 1, 5, 13, 29, 17, 61, 233, 371, 909, 529, 185, 127, 15773, 19529, 49271, 26749, 70869}},
-{14863, 18, 24259, {1, 1, 3, 9, 21, 41, 37, 71, 505, 969, 301, 1667, 5879, 13187, 2461, 17301, 103673, 235133}},
-{14864, 18, 24283, {1, 3, 1, 3, 9, 13, 75, 63, 313, 273, 1061, 3821, 539, 9887, 19775, 17259, 93133, 217245}},
-{14865, 18, 24296, {1, 3, 5, 5, 21, 27, 9, 11, 461, 575, 507, 577, 4559, 9995, 13953, 61023, 121941, 195419}},
-{14866, 18, 24336, {1, 3, 3, 7, 17, 17, 45, 193, 271, 571, 1337, 2107, 1923, 4791, 23773, 60923, 58085, 81219}},
-{14867, 18, 24342, {1, 3, 1, 7, 11, 7, 85, 33, 231, 307, 993, 1509, 1427, 9545, 7919, 39775, 81145, 79139}},
-{14868, 18, 24389, {1, 3, 5, 3, 9, 57, 117, 187, 57, 719, 1635, 2499, 6747, 6649, 22643, 16429, 83233, 122057}},
-{14869, 18, 24394, {1, 1, 3, 11, 7, 39, 103, 221, 167, 181, 1355, 989, 3399, 9471, 10493, 57267, 106551, 158599}},
-{14870, 18, 24414, {1, 3, 1, 15, 23, 19, 29, 11, 355, 923, 1401, 509, 3647, 5663, 2353, 53217, 70687, 145613}},
-{14871, 18, 24424, {1, 3, 3, 11, 11, 5, 21, 107, 177, 429, 119, 1029, 5931, 7543, 15455, 62797, 118095, 35387}},
-{14872, 18, 24441, {1, 3, 5, 15, 19, 53, 17, 215, 279, 497, 1157, 2235, 5541, 5899, 20711, 20843, 113821, 164231}},
-{14873, 18, 24491, {1, 1, 1, 15, 21, 33, 67, 247, 55, 573, 1863, 2703, 5267, 4071, 18235, 44659, 102379, 171529}},
-{14874, 18, 24502, {1, 3, 1, 15, 5, 59, 69, 189, 313, 243, 339, 3097, 4999, 5909, 1903, 56143, 76209, 83073}},
-{14875, 18, 24534, {1, 3, 5, 15, 11, 41, 65, 207, 95, 115, 1203, 3731, 6845, 11173, 8281, 40623, 97119, 218455}},
-{14876, 18, 24540, {1, 3, 7, 13, 29, 57, 5, 31, 255, 539, 107, 953, 3707, 9233, 20295, 17459, 2005, 56193}},
-{14877, 18, 24543, {1, 1, 1, 15, 5, 31, 83, 165, 211, 433, 1411, 2949, 4817, 1645, 1693, 9877, 118493, 142923}},
-{14878, 18, 24549, {1, 3, 1, 11, 19, 61, 35, 21, 159, 159, 1717, 3227, 3351, 8641, 20575, 13721, 114649, 129201}},
-{14879, 18, 24567, {1, 3, 1, 13, 9, 41, 17, 7, 209, 501, 445, 23, 7911, 5867, 30129, 643, 36363, 52037}},
-{14880, 18, 24583, {1, 3, 5, 11, 31, 55, 27, 81, 413, 167, 599, 2231, 7055, 4013, 26729, 63927, 12075, 208123}},
-{14881, 18, 24693, {1, 1, 7, 9, 11, 39, 99, 187, 169, 999, 609, 3647, 2497, 8969, 30919, 29145, 67699, 51601}},
-{14882, 18, 24704, {1, 3, 1, 1, 11, 11, 69, 29, 197, 979, 1135, 869, 5435, 5151, 26349, 55911, 68051, 131849}},
-{14883, 18, 24719, {1, 1, 1, 5, 27, 1, 85, 145, 439, 585, 1713, 677, 1833, 14139, 5547, 31265, 82223, 47605}},
-{14884, 18, 24749, {1, 3, 5, 9, 17, 23, 31, 199, 447, 551, 683, 2977, 7839, 8681, 15923, 61057, 89875, 52945}},
-{14885, 18, 24799, {1, 1, 3, 11, 9, 17, 29, 125, 195, 123, 1259, 2729, 3099, 2229, 9683, 13121, 105399, 111833}},
-{14886, 18, 24830, {1, 3, 1, 3, 1, 47, 93, 117, 461, 633, 1641, 933, 7927, 13569, 483, 28159, 121561, 164325}},
-{14887, 18, 24835, {1, 3, 1, 5, 21, 19, 79, 183, 395, 23, 767, 519, 4857, 10385, 12425, 26207, 114623, 37125}},
-{14888, 18, 24907, {1, 1, 5, 5, 9, 47, 67, 217, 499, 843, 1539, 301, 1485, 3157, 22375, 47199, 26215, 182785}},
-{14889, 18, 24917, {1, 1, 1, 13, 9, 37, 87, 49, 445, 681, 1097, 1049, 4093, 13167, 18447, 58243, 41797, 217929}},
-{14890, 18, 24940, {1, 1, 5, 13, 13, 49, 21, 149, 79, 113, 1217, 921, 6321, 9345, 27987, 21723, 49249, 18813}},
-{14891, 18, 24943, {1, 3, 1, 3, 15, 27, 67, 69, 131, 713, 1741, 1955, 5665, 8749, 11971, 11257, 13999, 124535}},
-{14892, 18, 24958, {1, 3, 1, 3, 3, 11, 21, 167, 441, 557, 593, 3261, 3099, 2801, 21725, 23247, 106891, 129187}},
-{14893, 18, 24962, {1, 1, 1, 11, 5, 55, 33, 71, 505, 85, 1609, 521, 5459, 12777, 13007, 255, 67537, 2877}},
-{14894, 18, 24964, {1, 1, 1, 3, 31, 47, 49, 119, 351, 797, 1407, 4089, 2381, 12409, 12849, 23489, 53631, 119387}},
-{14895, 18, 24968, {1, 3, 5, 11, 25, 11, 25, 185, 85, 849, 141, 385, 3663, 13133, 8451, 61463, 35129, 149933}},
-{14896, 18, 25015, {1, 3, 7, 9, 23, 17, 21, 197, 15, 893, 939, 707, 5491, 7249, 14009, 18973, 111545, 36809}},
-{14897, 18, 25024, {1, 3, 3, 13, 23, 15, 19, 193, 223, 627, 1529, 1963, 1003, 7199, 15361, 25233, 110281, 221761}},
-{14898, 18, 25027, {1, 3, 3, 1, 17, 51, 61, 215, 311, 919, 349, 59, 2897, 12137, 5931, 37611, 124387, 83503}},
-{14899, 18, 25033, {1, 3, 7, 9, 13, 47, 53, 139, 481, 733, 389, 1209, 3281, 593, 29103, 61521, 41445, 11015}},
-{14900, 18, 25041, {1, 1, 1, 13, 3, 31, 19, 47, 151, 883, 1707, 827, 2129, 4333, 871, 42967, 79701, 192211}},
-{14901, 18, 25047, {1, 3, 3, 11, 11, 51, 121, 241, 199, 881, 1493, 2381, 5161, 13287, 8155, 52481, 120307, 206203}},
-{14902, 18, 25057, {1, 1, 1, 13, 15, 37, 27, 151, 17, 851, 1343, 1447, 43, 10267, 18267, 21347, 129277, 83987}},
-{14903, 18, 25082, {1, 1, 3, 3, 13, 17, 53, 217, 253, 853, 1461, 1953, 617, 4209, 9925, 377, 42789, 150415}},
-{14904, 18, 25093, {1, 3, 7, 11, 13, 23, 83, 235, 39, 701, 1091, 25, 1807, 15431, 2169, 5339, 123679, 117053}},
-{14905, 18, 25105, {1, 3, 7, 13, 3, 29, 43, 149, 33, 873, 1177, 1961, 7943, 11317, 30725, 55765, 50929, 12335}},
-{14906, 18, 25112, {1, 1, 3, 5, 25, 1, 91, 121, 295, 25, 1743, 2125, 2643, 11175, 15089, 44979, 28355, 543}},
-{14907, 18, 25117, {1, 1, 1, 13, 27, 27, 43, 195, 377, 821, 437, 3445, 2673, 15221, 15101, 25143, 22347, 218549}},
-{14908, 18, 25131, {1, 1, 3, 7, 9, 51, 121, 231, 91, 913, 1325, 167, 8067, 8119, 9307, 33551, 58069, 170567}},
-{14909, 18, 25139, {1, 3, 7, 7, 15, 7, 85, 51, 11, 353, 1117, 2479, 3091, 2377, 23589, 38537, 113047, 261285}},
-{14910, 18, 25194, {1, 1, 3, 5, 15, 33, 61, 145, 147, 815, 767, 9, 2059, 11463, 1883, 8565, 101043, 117565}},
-{14911, 18, 25204, {1, 3, 5, 3, 5, 49, 5, 33, 15, 13, 895, 3973, 7963, 3831, 26817, 10799, 111409, 90679}},
-{14912, 18, 25244, {1, 1, 5, 7, 5, 51, 35, 237, 217, 531, 719, 2711, 1937, 16071, 23233, 22799, 66023, 145739}},
-{14913, 18, 25247, {1, 3, 5, 1, 5, 63, 1, 163, 9, 697, 1379, 2989, 7113, 9821, 15941, 6495, 7825, 29715}},
-{14914, 18, 25253, {1, 3, 5, 7, 9, 41, 113, 173, 151, 963, 2019, 3531, 1133, 4287, 16917, 16929, 12345, 31201}},
-{14915, 18, 25258, {1, 3, 7, 1, 25, 9, 5, 195, 175, 297, 717, 3725, 33, 5155, 4405, 56171, 105597, 132407}},
-{14916, 18, 25275, {1, 1, 7, 7, 3, 59, 115, 95, 227, 951, 843, 619, 7791, 10981, 11773, 57651, 108391, 179561}},
-{14917, 18, 25320, {1, 3, 3, 1, 9, 3, 59, 161, 417, 413, 1933, 1027, 4575, 10427, 15643, 16049, 120089, 176607}},
-{14918, 18, 25338, {1, 3, 3, 3, 15, 1, 83, 195, 59, 859, 1669, 1063, 2069, 15875, 16459, 53741, 114521, 37641}},
-{14919, 18, 25343, {1, 1, 1, 11, 11, 45, 47, 143, 11, 239, 1329, 865, 2693, 899, 26265, 43255, 125679, 130099}},
-{14920, 18, 25351, {1, 3, 5, 3, 31, 51, 95, 127, 79, 167, 117, 3177, 5875, 14039, 20341, 47815, 118799, 211871}},
-{14921, 18, 25358, {1, 1, 1, 1, 3, 21, 65, 203, 11, 565, 537, 1307, 8189, 11423, 7745, 56117, 110959, 95361}},
-{14922, 18, 25372, {1, 1, 7, 7, 21, 63, 63, 231, 441, 127, 1943, 13, 4813, 10607, 23867, 43891, 15801, 173245}},
-{14923, 18, 25399, {1, 3, 3, 5, 25, 23, 123, 133, 129, 303, 1993, 1453, 1109, 4649, 30315, 62399, 121575, 60069}},
-{14924, 18, 25408, {1, 3, 5, 3, 29, 23, 69, 141, 137, 1017, 1915, 35, 3817, 6249, 22427, 7281, 88473, 230167}},
-{14925, 18, 25432, {1, 3, 7, 7, 19, 37, 93, 217, 287, 731, 583, 3377, 2879, 4873, 5549, 52949, 127285, 211173}},
-{14926, 18, 25442, {1, 1, 5, 7, 23, 41, 49, 145, 277, 571, 1225, 455, 2133, 1229, 25421, 20179, 70919, 242825}},
-{14927, 18, 25462, {1, 3, 5, 5, 29, 3, 1, 89, 413, 901, 1343, 3963, 6969, 14649, 18331, 4573, 82077, 100693}},
-{14928, 18, 25465, {1, 1, 1, 13, 31, 53, 107, 95, 151, 539, 1593, 3763, 1007, 8959, 25235, 16461, 121819, 106143}},
-{14929, 18, 25468, {1, 1, 1, 3, 11, 15, 5, 157, 347, 81, 2013, 2025, 6541, 12287, 1315, 23285, 23539, 75027}},
-{14930, 18, 25482, {1, 1, 5, 7, 17, 11, 65, 157, 93, 607, 1445, 4089, 3139, 4699, 1225, 58935, 93673, 146467}},
-{14931, 18, 25489, {1, 3, 3, 13, 29, 59, 69, 141, 257, 463, 93, 649, 8179, 15205, 6943, 45317, 31269, 70825}},
-{14932, 18, 25490, {1, 3, 5, 9, 23, 39, 113, 61, 315, 463, 1739, 149, 6007, 2789, 12021, 969, 18551, 153669}},
-{14933, 18, 25505, {1, 1, 3, 15, 19, 9, 23, 211, 265, 877, 325, 2635, 8131, 4957, 24371, 60975, 3887, 198927}},
-{14934, 18, 25511, {1, 1, 3, 11, 29, 31, 5, 105, 157, 573, 2009, 1701, 1549, 1641, 17429, 13587, 48421, 8675}},
-{14935, 18, 25512, {1, 1, 5, 13, 3, 13, 17, 55, 101, 369, 705, 3635, 5195, 10439, 12881, 21565, 1671, 75489}},
-{14936, 18, 25552, {1, 3, 3, 1, 1, 23, 85, 189, 347, 205, 5, 3465, 3269, 3347, 10163, 26921, 86555, 9387}},
-{14937, 18, 25555, {1, 3, 7, 15, 27, 21, 79, 151, 279, 627, 1093, 1929, 5549, 12141, 5245, 55747, 65939, 193759}},
-{14938, 18, 25595, {1, 1, 1, 5, 5, 23, 57, 235, 143, 129, 795, 35, 4375, 12577, 871, 20879, 82811, 52279}},
-{14939, 18, 25636, {1, 3, 1, 5, 11, 1, 125, 99, 89, 629, 857, 2631, 393, 15075, 27473, 42695, 61505, 239651}},
-{14940, 18, 25672, {1, 1, 5, 1, 9, 11, 55, 203, 453, 677, 259, 1979, 4101, 16067, 26783, 17907, 75349, 62797}},
-{14941, 18, 25685, {1, 3, 7, 5, 5, 19, 85, 165, 341, 405, 1779, 87, 889, 265, 9851, 36175, 69697, 123769}},
-{14942, 18, 25696, {1, 3, 7, 1, 7, 49, 93, 57, 85, 597, 183, 3253, 6301, 9307, 8753, 38133, 58743, 19621}},
-{14943, 18, 25720, {1, 1, 3, 9, 1, 15, 125, 215, 391, 141, 87, 37, 4333, 5033, 30549, 64281, 18577, 156093}},
-{14944, 18, 25730, {1, 3, 3, 15, 17, 25, 29, 81, 339, 865, 1619, 773, 901, 8163, 22275, 57159, 119951, 137451}},
-{14945, 18, 25735, {1, 3, 5, 15, 7, 57, 113, 221, 13, 49, 1653, 3695, 4423, 4383, 28669, 64175, 130355, 202543}},
-{14946, 18, 25753, {1, 1, 3, 9, 29, 21, 19, 119, 409, 717, 1853, 3981, 4489, 3985, 31205, 10423, 13223, 131973}},
-{14947, 18, 25756, {1, 1, 3, 15, 29, 7, 1, 85, 133, 345, 317, 2363, 7803, 4975, 19441, 10497, 42059, 131531}},
-{14948, 18, 25769, {1, 1, 7, 13, 3, 53, 49, 27, 487, 901, 801, 335, 6317, 14205, 26655, 52747, 102659, 231359}},
-{14949, 18, 25821, {1, 3, 3, 3, 13, 33, 113, 107, 407, 499, 903, 3059, 1343, 11859, 6315, 23071, 73627, 44239}},
-{14950, 18, 25825, {1, 3, 5, 15, 1, 53, 59, 247, 213, 981, 443, 3, 615, 12067, 3881, 61759, 101219, 110407}},
-{14951, 18, 25840, {1, 3, 5, 13, 7, 31, 87, 161, 61, 1023, 147, 2075, 7245, 9025, 7229, 60935, 104481, 169561}},
-{14952, 18, 25860, {1, 3, 1, 15, 25, 17, 53, 107, 311, 621, 1493, 2443, 4635, 12163, 12543, 43031, 90843, 139645}},
-{14953, 18, 25869, {1, 3, 5, 11, 7, 49, 91, 165, 91, 329, 493, 3533, 7429, 7047, 14767, 31641, 62005, 77267}},
-{14954, 18, 25872, {1, 1, 3, 9, 31, 21, 19, 167, 185, 199, 1989, 1093, 4213, 4769, 21659, 19685, 122123, 215233}},
-{14955, 18, 25956, {1, 3, 3, 7, 27, 23, 99, 205, 365, 689, 1281, 419, 4207, 5355, 20245, 25029, 123029, 61499}},
-{14956, 18, 25973, {1, 3, 3, 7, 19, 15, 29, 185, 165, 203, 1859, 2895, 6361, 6331, 13641, 42577, 33757, 41305}},
-{14957, 18, 25994, {1, 3, 5, 11, 21, 43, 15, 11, 425, 125, 1597, 1109, 3335, 7009, 20799, 41261, 127813, 181261}},
-{14958, 18, 26002, {1, 1, 5, 5, 27, 35, 35, 159, 111, 1011, 1487, 813, 4985, 2555, 23741, 44675, 97159, 250477}},
-{14959, 18, 26020, {1, 3, 3, 7, 17, 41, 81, 187, 367, 767, 1345, 205, 5797, 9129, 21973, 39911, 130131, 96891}},
-{14960, 18, 26023, {1, 3, 5, 1, 1, 47, 57, 177, 127, 791, 1427, 1895, 5995, 12569, 32711, 58599, 55641, 80405}},
-{14961, 18, 26041, {1, 3, 3, 1, 23, 13, 115, 81, 511, 677, 775, 3143, 4963, 7093, 15963, 59893, 22609, 137601}},
-{14962, 18, 26044, {1, 1, 5, 9, 17, 17, 115, 127, 397, 139, 1171, 207, 3485, 15869, 465, 26267, 29957, 205459}},
-{14963, 18, 26069, {1, 3, 7, 3, 9, 29, 23, 189, 447, 481, 753, 2415, 2669, 6007, 15201, 7317, 18861, 173759}},
-{14964, 18, 26097, {1, 3, 5, 7, 13, 43, 13, 163, 363, 683, 1869, 1237, 2523, 3661, 13887, 5593, 91513, 220177}},
-{14965, 18, 26113, {1, 1, 1, 11, 7, 11, 43, 39, 319, 793, 375, 3159, 7621, 8965, 25743, 351, 31873, 18115}},
-{14966, 18, 26138, {1, 1, 5, 5, 11, 57, 79, 147, 55, 553, 417, 1365, 3979, 9789, 22677, 58645, 104549, 9019}},
-{14967, 18, 26167, {1, 1, 3, 11, 17, 37, 127, 5, 165, 867, 79, 2259, 197, 4789, 28109, 46721, 3431, 118939}},
-{14968, 18, 26216, {1, 1, 5, 13, 19, 45, 113, 11, 125, 351, 1753, 3201, 1697, 2567, 9717, 22247, 84309, 248583}},
-{14969, 18, 26230, {1, 1, 5, 9, 5, 37, 65, 47, 261, 855, 1573, 2267, 7977, 13029, 32527, 59805, 103591, 180041}},
-{14970, 18, 26243, {1, 3, 3, 9, 31, 5, 115, 159, 111, 899, 1907, 2671, 1575, 7021, 10281, 34905, 641, 63549}},
-{14971, 18, 26245, {1, 3, 5, 1, 17, 61, 45, 9, 375, 761, 117, 1767, 4657, 12217, 12067, 42807, 118587, 72715}},
-{14972, 18, 26263, {1, 1, 1, 13, 3, 3, 93, 3, 351, 97, 119, 1743, 81, 12761, 22529, 47191, 111315, 256501}},
-{14973, 18, 26264, {1, 1, 5, 7, 29, 23, 41, 9, 231, 567, 1565, 3539, 7241, 11535, 7375, 10391, 127045, 9371}},
-{14974, 18, 26269, {1, 1, 1, 15, 23, 47, 39, 57, 73, 809, 513, 3233, 8071, 8595, 13817, 821, 89091, 107173}},
-{14975, 18, 26311, {1, 1, 1, 13, 13, 43, 75, 239, 487, 175, 1561, 3925, 3743, 14247, 15713, 55005, 116135, 199827}},
-{14976, 18, 26346, {1, 1, 3, 7, 13, 15, 67, 147, 77, 241, 1763, 651, 1107, 4943, 15651, 23259, 45931, 34717}},
-{14977, 18, 26354, {1, 1, 3, 5, 15, 15, 67, 153, 163, 179, 1567, 685, 3245, 2205, 8373, 56567, 32091, 23313}},
-{14978, 18, 26365, {1, 1, 7, 9, 1, 27, 79, 209, 263, 517, 635, 3, 103, 2173, 22659, 11319, 103757, 144449}},
-{14979, 18, 26368, {1, 1, 1, 5, 11, 63, 21, 89, 443, 775, 327, 1559, 1421, 2309, 18597, 46385, 16547, 186813}},
-{14980, 18, 26398, {1, 1, 7, 9, 27, 37, 43, 7, 305, 117, 1103, 1801, 3349, 12225, 28215, 8857, 118677, 88909}},
-{14981, 18, 26401, {1, 3, 3, 7, 15, 59, 21, 19, 371, 81, 755, 1565, 4823, 16363, 20301, 33571, 74423, 177205}},
-{14982, 18, 26426, {1, 1, 3, 9, 15, 33, 23, 31, 171, 713, 271, 2437, 3609, 4271, 24355, 46283, 121767, 188501}},
-{14983, 18, 26436, {1, 1, 1, 1, 21, 3, 3, 241, 339, 211, 443, 1577, 343, 2625, 1077, 29933, 106401, 51439}},
-{14984, 18, 26443, {1, 3, 5, 15, 13, 31, 11, 167, 15, 101, 373, 2095, 3017, 1347, 15029, 6579, 21233, 87589}},
-{14985, 18, 26448, {1, 3, 1, 3, 15, 1, 61, 239, 13, 867, 1621, 2275, 5757, 8275, 7923, 44469, 113513, 84927}},
-{14986, 18, 26458, {1, 1, 1, 13, 23, 27, 101, 25, 459, 517, 127, 1131, 669, 13209, 23671, 3379, 66091, 72919}},
-{14987, 18, 26464, {1, 3, 5, 7, 29, 53, 25, 185, 101, 707, 281, 183, 2823, 7241, 3127, 48093, 20195, 208349}},
-{14988, 18, 26476, {1, 3, 3, 15, 31, 11, 3, 165, 453, 609, 1053, 3937, 1989, 13887, 13415, 8005, 103537, 17853}},
-{14989, 18, 26503, {1, 1, 3, 7, 3, 41, 13, 67, 227, 265, 767, 391, 1835, 8827, 13131, 42605, 117089, 12475}},
-{14990, 18, 26504, {1, 1, 7, 3, 15, 31, 45, 157, 261, 207, 1109, 1587, 5389, 13239, 31697, 35969, 79839, 209633}},
-{14991, 18, 26515, {1, 1, 5, 9, 31, 3, 35, 187, 5, 945, 633, 2645, 171, 2221, 18369, 41765, 82373, 8007}},
-{14992, 18, 26531, {1, 1, 7, 7, 3, 57, 73, 103, 245, 811, 1637, 101, 6335, 9911, 663, 21779, 31681, 119141}},
-{14993, 18, 26548, {1, 1, 5, 13, 27, 25, 5, 203, 183, 251, 1803, 665, 6295, 965, 5269, 379, 78455, 7097}},
-{14994, 18, 26570, {1, 1, 5, 3, 19, 55, 45, 161, 481, 737, 1903, 1093, 3313, 4427, 7959, 6231, 94769, 123827}},
-{14995, 18, 26589, {1, 1, 7, 11, 29, 41, 77, 165, 49, 875, 137, 2003, 8093, 1941, 25979, 10765, 99241, 71275}},
-{14996, 18, 26594, {1, 3, 5, 3, 23, 1, 89, 163, 293, 701, 29, 2543, 4487, 14873, 28123, 48643, 31633, 74179}},
-{14997, 18, 26608, {1, 1, 7, 1, 13, 33, 33, 173, 111, 959, 205, 1633, 3127, 3963, 6455, 41809, 60655, 247121}},
-{14998, 18, 26623, {1, 3, 5, 13, 1, 49, 87, 217, 381, 125, 823, 837, 3967, 8157, 11097, 35721, 93591, 3939}},
-{14999, 18, 26678, {1, 3, 7, 1, 7, 27, 29, 21, 295, 127, 823, 2409, 1873, 2417, 27961, 39211, 14785, 71557}},
-{15000, 18, 26690, {1, 3, 1, 5, 31, 59, 43, 121, 217, 417, 2029, 3983, 5629, 10447, 1073, 57515, 58849, 178927}},
-{15001, 18, 26709, {1, 3, 3, 11, 5, 59, 45, 39, 269, 483, 757, 3245, 4383, 11127, 26535, 17395, 60953, 259333}},
-{15002, 18, 26725, {1, 1, 1, 5, 5, 49, 81, 241, 371, 353, 1293, 3375, 6725, 11891, 5973, 13901, 37999, 17751}},
-{15003, 18, 26744, {1, 3, 3, 7, 31, 21, 45, 107, 33, 911, 1869, 2643, 2655, 3979, 5509, 33065, 128463, 246937}},
-{15004, 18, 26763, {1, 1, 1, 1, 31, 33, 99, 29, 485, 11, 1423, 1775, 2045, 741, 30691, 53957, 13891, 57303}},
-{15005, 18, 26765, {1, 1, 7, 13, 7, 37, 117, 121, 51, 743, 887, 1769, 1049, 12859, 1663, 27763, 90969, 38935}},
-{15006, 18, 26768, {1, 3, 5, 7, 3, 41, 121, 89, 461, 979, 457, 2973, 8109, 13819, 30237, 54671, 66967, 135233}},
-{15007, 18, 26784, {1, 1, 7, 13, 13, 47, 51, 121, 295, 847, 681, 1163, 8123, 14179, 26561, 54057, 74043, 146155}},
-{15008, 18, 26802, {1, 3, 3, 11, 21, 15, 9, 85, 445, 11, 1525, 3165, 5929, 12481, 10769, 31885, 51487, 248933}},
-{15009, 18, 26814, {1, 3, 1, 9, 25, 41, 59, 139, 293, 1021, 2043, 967, 3949, 7309, 6545, 62761, 37761, 22395}},
-{15010, 18, 26856, {1, 3, 7, 15, 25, 45, 29, 75, 283, 845, 687, 3285, 7263, 10237, 5343, 58635, 85137, 2387}},
-{15011, 18, 26861, {1, 1, 3, 15, 29, 33, 111, 175, 251, 181, 709, 1373, 1661, 1155, 30479, 57823, 28809, 74117}},
-{15012, 18, 26862, {1, 3, 3, 5, 11, 37, 55, 155, 439, 173, 1861, 1713, 1675, 12119, 12531, 50995, 124657, 58321}},
-{15013, 18, 26894, {1, 1, 5, 13, 1, 23, 27, 141, 3, 985, 1439, 781, 7381, 2223, 26673, 46607, 54953, 24547}},
-{15014, 18, 26908, {1, 1, 5, 7, 5, 3, 41, 115, 503, 731, 633, 3631, 3455, 15937, 22639, 41163, 65243, 233749}},
-{15015, 18, 26915, {1, 3, 1, 1, 5, 57, 89, 35, 53, 653, 1763, 1247, 6999, 1811, 28191, 52327, 129421, 191093}},
-{15016, 18, 26929, {1, 3, 3, 9, 3, 27, 107, 13, 475, 409, 1623, 483, 3127, 12841, 4777, 36157, 24967, 89795}},
-{15017, 18, 26930, {1, 1, 3, 5, 7, 29, 15, 225, 257, 923, 251, 21, 4559, 3571, 9351, 1739, 37393, 170789}},
-{15018, 18, 26939, {1, 3, 7, 5, 11, 7, 107, 237, 343, 665, 767, 2293, 4781, 4811, 11227, 25045, 3951, 44307}},
-{15019, 18, 26941, {1, 3, 7, 7, 13, 31, 47, 9, 121, 441, 1011, 2015, 8053, 355, 13441, 23213, 60675, 259761}},
-{15020, 18, 26987, {1, 1, 5, 9, 21, 61, 85, 141, 271, 577, 17, 243, 3049, 2479, 28947, 53351, 67379, 211133}},
-{15021, 18, 27023, {1, 1, 1, 15, 23, 1, 119, 141, 311, 543, 1463, 3633, 8111, 9439, 4147, 64913, 28261, 197217}},
-{15022, 18, 27066, {1, 3, 1, 15, 15, 33, 125, 231, 225, 797, 605, 259, 3673, 10423, 7541, 26289, 61681, 136463}},
-{15023, 18, 27079, {1, 3, 1, 13, 23, 15, 15, 151, 289, 657, 1883, 2923, 6861, 1411, 17159, 9353, 79463, 135813}},
-{15024, 18, 27086, {1, 3, 7, 11, 5, 59, 101, 167, 291, 63, 753, 1105, 8173, 2389, 22097, 7207, 110377, 15797}},
-{15025, 18, 27091, {1, 3, 7, 15, 7, 9, 7, 135, 303, 675, 1803, 2827, 1711, 9543, 16567, 24075, 17065, 22193}},
-{15026, 18, 27113, {1, 3, 5, 7, 17, 7, 125, 57, 423, 733, 1813, 4031, 713, 10687, 27315, 37599, 78807, 103429}},
-{15027, 18, 27157, {1, 1, 5, 15, 21, 11, 87, 21, 415, 571, 1169, 2561, 7071, 12499, 195, 20111, 116757, 157731}},
-{15028, 18, 27174, {1, 3, 3, 15, 7, 33, 11, 241, 23, 189, 599, 2891, 2829, 13327, 21777, 57733, 38583, 162161}},
-{15029, 18, 27188, {1, 1, 1, 15, 3, 49, 7, 143, 291, 301, 1439, 793, 3447, 1167, 2815, 24875, 117437, 112561}},
-{15030, 18, 27191, {1, 3, 5, 13, 29, 11, 51, 255, 365, 741, 1919, 2091, 2865, 12721, 4329, 37281, 128703, 739}},
-{15031, 18, 27197, {1, 1, 1, 13, 19, 31, 39, 141, 81, 133, 297, 3837, 7537, 16043, 11755, 10289, 74399, 95371}},
-{15032, 18, 27206, {1, 1, 7, 5, 21, 35, 125, 109, 241, 217, 1219, 2617, 1925, 9573, 19305, 44689, 89365, 248869}},
-{15033, 18, 27210, {1, 3, 5, 5, 13, 33, 43, 221, 325, 267, 837, 809, 6025, 9847, 9267, 13465, 45937, 204339}},
-{15034, 18, 27245, {1, 3, 1, 3, 25, 53, 85, 249, 105, 619, 917, 1213, 5365, 6197, 22929, 27529, 71011, 141651}},
-{15035, 18, 27254, {1, 1, 5, 1, 29, 9, 27, 161, 269, 775, 1043, 303, 4503, 5059, 479, 17237, 51383, 152495}},
-{15036, 18, 27383, {1, 3, 1, 5, 19, 5, 127, 139, 1, 461, 943, 593, 7457, 3357, 1909, 64633, 91811, 92703}},
-{15037, 18, 27387, {1, 1, 5, 7, 1, 21, 83, 29, 123, 83, 1085, 2727, 651, 15801, 20561, 34821, 17671, 162227}},
-{15038, 18, 27416, {1, 3, 7, 1, 19, 59, 33, 195, 81, 69, 51, 1473, 3873, 4247, 3587, 4293, 30831, 245345}},
-{15039, 18, 27422, {1, 3, 1, 3, 23, 27, 19, 115, 275, 293, 705, 131, 1001, 8881, 30165, 25149, 38679, 175167}},
-{15040, 18, 27472, {1, 1, 3, 15, 11, 11, 79, 55, 323, 217, 859, 897, 6567, 12529, 3161, 13009, 100787, 3501}},
-{15041, 18, 27478, {1, 3, 1, 15, 17, 63, 51, 71, 55, 207, 1095, 2527, 611, 9281, 7375, 14553, 16021, 88537}},
-{15042, 18, 27548, {1, 1, 7, 9, 11, 23, 95, 25, 327, 873, 575, 3583, 6587, 137, 23737, 59341, 83281, 93541}},
-{15043, 18, 27579, {1, 1, 5, 7, 15, 37, 89, 105, 471, 757, 103, 3747, 3565, 4957, 23537, 16193, 84843, 256757}},
-{15044, 18, 27582, {1, 3, 5, 1, 15, 17, 119, 231, 387, 715, 797, 3807, 4985, 8335, 4885, 45541, 69597, 238599}},
-{15045, 18, 27589, {1, 1, 3, 1, 7, 21, 87, 205, 39, 503, 433, 3643, 4719, 2051, 10049, 28997, 75981, 253647}},
-{15046, 18, 27593, {1, 3, 1, 13, 9, 21, 103, 63, 27, 267, 185, 3507, 3009, 5183, 2261, 40249, 33733, 70493}},
-{15047, 18, 27613, {1, 1, 3, 13, 7, 7, 79, 13, 141, 327, 1035, 1699, 6273, 5621, 13877, 57607, 50207, 184643}},
-{15048, 18, 27649, {1, 1, 3, 1, 9, 19, 75, 99, 115, 469, 1025, 1999, 1985, 9975, 11069, 59113, 80877, 124153}},
-{15049, 18, 27717, {1, 3, 5, 7, 19, 27, 47, 3, 313, 575, 107, 991, 2575, 11001, 12323, 21443, 126245, 219649}},
-{15050, 18, 27729, {1, 1, 1, 5, 19, 33, 13, 1, 357, 225, 1355, 1827, 7127, 6387, 19299, 24935, 26847, 251433}},
-{15051, 18, 27751, {1, 1, 1, 5, 3, 3, 113, 19, 425, 209, 159, 347, 1349, 6771, 13125, 8393, 21435, 186369}},
-{15052, 18, 27757, {1, 1, 5, 11, 5, 39, 95, 3, 193, 741, 1755, 3361, 1927, 12909, 5413, 29111, 123429, 109191}},
-{15053, 18, 27766, {1, 1, 1, 13, 31, 23, 43, 163, 421, 719, 457, 3149, 7741, 1465, 15719, 42831, 99051, 164675}},
-{15054, 18, 27791, {1, 1, 1, 7, 15, 1, 29, 15, 9, 577, 269, 31, 4361, 5081, 32185, 54869, 115105, 151233}},
-{15055, 18, 27794, {1, 1, 1, 11, 19, 3, 67, 3, 377, 487, 1287, 3463, 6523, 15237, 3171, 38673, 7359, 29739}},
-{15056, 18, 27854, {1, 3, 5, 11, 9, 13, 47, 191, 97, 641, 807, 1085, 1537, 2855, 24615, 32383, 66425, 53713}},
-{15057, 18, 27856, {1, 1, 5, 7, 19, 25, 93, 1, 21, 853, 813, 2535, 4291, 9051, 3385, 507, 73889, 85397}},
-{15058, 18, 27866, {1, 1, 3, 13, 7, 15, 103, 199, 83, 585, 1859, 2089, 839, 8923, 14615, 3399, 7703, 229937}},
-{15059, 18, 27875, {1, 1, 3, 3, 11, 23, 125, 135, 475, 613, 327, 339, 3081, 13221, 4889, 41233, 36547, 195357}},
-{15060, 18, 27902, {1, 3, 7, 7, 19, 23, 85, 217, 501, 447, 1873, 2175, 6753, 2825, 5171, 47561, 13321, 59583}},
-{15061, 18, 27916, {1, 1, 5, 13, 23, 59, 109, 195, 487, 785, 21, 1595, 5641, 10103, 8115, 60647, 78425, 237379}},
-{15062, 18, 27924, {1, 1, 3, 15, 21, 17, 85, 51, 369, 475, 1021, 1129, 7233, 6593, 12467, 55399, 128157, 80539}},
-{15063, 18, 27933, {1, 3, 3, 9, 31, 27, 69, 145, 489, 251, 1997, 1157, 2027, 16109, 4085, 24859, 63561, 79591}},
-{15064, 18, 27940, {1, 3, 3, 5, 29, 49, 41, 185, 405, 471, 431, 3539, 6593, 1185, 24383, 17009, 111215, 79839}},
-{15065, 18, 27947, {1, 1, 7, 3, 3, 15, 97, 157, 301, 227, 717, 3291, 2471, 11515, 30657, 30745, 72147, 98653}},
-{15066, 18, 27969, {1, 3, 5, 1, 23, 21, 67, 223, 185, 385, 137, 2897, 2423, 6119, 28471, 52269, 95725, 9105}},
-{15067, 18, 27981, {1, 3, 3, 11, 19, 1, 111, 131, 293, 495, 1043, 631, 1375, 15347, 22029, 29163, 120025, 81631}},
-{15068, 18, 27996, {1, 1, 7, 5, 17, 55, 47, 183, 367, 81, 555, 2857, 4787, 5605, 32053, 11815, 81771, 234993}},
-{15069, 18, 28005, {1, 3, 7, 15, 15, 49, 45, 221, 49, 299, 887, 3991, 2097, 10819, 23297, 1823, 11319, 205273}},
-{15070, 18, 28030, {1, 1, 1, 1, 1, 15, 91, 253, 213, 849, 501, 1073, 5503, 1379, 28887, 51811, 109763, 226149}},
-{15071, 18, 28064, {1, 1, 1, 7, 27, 39, 17, 29, 359, 655, 1695, 1781, 1203, 1125, 8983, 3477, 13925, 218399}},
-{15072, 18, 28102, {1, 3, 7, 13, 1, 25, 33, 185, 87, 19, 151, 371, 1221, 4859, 20103, 11435, 104263, 218515}},
-{15073, 18, 28108, {1, 1, 3, 5, 17, 43, 29, 149, 207, 39, 1539, 2933, 6825, 12391, 18163, 24543, 35305, 196295}},
-{15074, 18, 28120, {1, 3, 7, 9, 21, 61, 69, 231, 401, 95, 1757, 839, 3395, 7573, 6583, 34621, 119303, 20767}},
-{15075, 18, 28125, {1, 1, 7, 1, 25, 53, 63, 105, 241, 591, 23, 3219, 2387, 13945, 3047, 30939, 63243, 60941}},
-{15076, 18, 28130, {1, 1, 5, 7, 25, 47, 7, 227, 57, 279, 81, 4017, 3117, 6229, 20029, 30031, 25049, 102291}},
-{15077, 18, 28142, {1, 3, 3, 1, 21, 15, 69, 57, 311, 9, 853, 3377, 2949, 4781, 15419, 54741, 11603, 136821}},
-{15078, 18, 28149, {1, 3, 3, 13, 13, 5, 103, 253, 27, 449, 821, 3241, 41, 6643, 15217, 61691, 58463, 46117}},
-{15079, 18, 28165, {1, 1, 7, 7, 27, 51, 1, 239, 71, 955, 145, 1059, 5645, 7025, 4839, 11459, 3051, 235989}},
-{15080, 18, 28169, {1, 1, 5, 15, 15, 13, 33, 21, 209, 681, 1163, 3109, 1441, 6895, 20829, 48769, 35373, 195171}},
-{15081, 18, 28177, {1, 1, 7, 3, 11, 7, 25, 27, 463, 77, 1293, 1977, 4931, 8089, 11079, 14793, 123049, 32259}},
-{15082, 18, 28211, {1, 3, 1, 15, 11, 49, 7, 103, 79, 773, 235, 1653, 6477, 8835, 26627, 61101, 40633, 98155}},
-{15083, 18, 28213, {1, 3, 5, 7, 3, 53, 77, 197, 49, 57, 1533, 3485, 6603, 1131, 9073, 37023, 85293, 170883}},
-{15084, 18, 28220, {1, 3, 7, 15, 23, 5, 125, 75, 413, 521, 1897, 1099, 35, 2013, 687, 51511, 21359, 19995}},
-{15085, 18, 28261, {1, 3, 1, 11, 19, 13, 91, 181, 39, 613, 1917, 3149, 669, 9927, 20967, 38313, 13537, 181873}},
-{15086, 18, 28271, {1, 3, 5, 7, 5, 23, 25, 145, 189, 679, 483, 2689, 2855, 9631, 8863, 34841, 83311, 211507}},
-{15087, 18, 28299, {1, 3, 5, 15, 15, 15, 87, 53, 309, 807, 1405, 259, 3181, 12187, 31529, 8861, 70557, 247787}},
-{15088, 18, 28326, {1, 1, 7, 13, 7, 15, 1, 205, 91, 325, 1371, 531, 4917, 10291, 30827, 32491, 34497, 250301}},
-{15089, 18, 28330, {1, 3, 1, 11, 29, 17, 97, 37, 259, 1021, 1705, 4001, 4385, 7047, 14593, 63443, 3283, 18195}},
-{15090, 18, 28350, {1, 1, 7, 9, 9, 55, 11, 113, 351, 513, 197, 873, 1595, 11331, 27711, 419, 73097, 144357}},
-{15091, 18, 28355, {1, 3, 7, 15, 29, 31, 37, 15, 233, 573, 1457, 293, 5437, 15909, 3087, 24535, 6507, 173555}},
-{15092, 18, 28367, {1, 1, 1, 7, 7, 47, 81, 241, 257, 389, 233, 3275, 919, 14911, 14473, 58457, 78195, 121421}},
-{15093, 18, 28376, {1, 3, 7, 13, 1, 63, 9, 233, 231, 771, 1851, 3829, 7089, 4573, 13297, 58963, 2065, 8365}},
-{15094, 18, 28379, {1, 1, 5, 1, 31, 45, 45, 209, 77, 977, 159, 1521, 969, 10115, 32387, 52821, 124209, 51841}},
-{15095, 18, 28381, {1, 3, 5, 5, 13, 27, 53, 171, 91, 743, 217, 3805, 7721, 15127, 20679, 57459, 53649, 16381}},
-{15096, 18, 28447, {1, 3, 1, 15, 23, 43, 105, 169, 143, 759, 463, 1237, 3311, 2919, 16675, 53049, 12403, 153651}},
-{15097, 18, 28465, {1, 3, 3, 11, 5, 27, 1, 135, 17, 683, 679, 2591, 2929, 12417, 18379, 61903, 81991, 25231}},
-{15098, 18, 28471, {1, 1, 1, 5, 13, 59, 73, 119, 369, 445, 553, 243, 7523, 1105, 20349, 8417, 87535, 148857}},
-{15099, 18, 28472, {1, 3, 7, 15, 29, 3, 49, 49, 7, 753, 1597, 1427, 7485, 9119, 17427, 24961, 114897, 62841}},
-{15100, 18, 28478, {1, 1, 7, 7, 17, 35, 49, 225, 267, 801, 1359, 2131, 6093, 3859, 11305, 6287, 106459, 31093}},
-{15101, 18, 28480, {1, 1, 5, 3, 1, 45, 19, 89, 145, 23, 1071, 3053, 3463, 6781, 8635, 1961, 54403, 183401}},
-{15102, 18, 28489, {1, 3, 1, 13, 17, 35, 105, 155, 145, 597, 1169, 3731, 725, 2185, 23365, 31849, 113717, 185413}},
-{15103, 18, 28514, {1, 3, 3, 5, 3, 5, 13, 119, 39, 383, 1595, 63, 7003, 6465, 19847, 37213, 42921, 254479}},
-{15104, 18, 28525, {1, 3, 3, 1, 3, 33, 43, 255, 227, 151, 1911, 2657, 6529, 3855, 24411, 8485, 30385, 193265}},
-{15105, 18, 28537, {1, 1, 7, 7, 21, 53, 101, 37, 193, 107, 1095, 369, 6423, 3491, 1219, 53385, 31041, 122587}},
-{15106, 18, 28550, {1, 1, 7, 3, 13, 39, 101, 109, 113, 201, 619, 2489, 4545, 5017, 25519, 44281, 128605, 128595}},
-{15107, 18, 28559, {1, 1, 3, 13, 25, 7, 99, 141, 465, 625, 667, 1633, 6719, 16195, 365, 34355, 65025, 128025}},
-{15108, 18, 28595, {1, 1, 1, 7, 15, 51, 43, 159, 223, 493, 411, 65, 5753, 10219, 21885, 33267, 116643, 76777}},
-{15109, 18, 28601, {1, 3, 5, 13, 25, 39, 97, 31, 245, 367, 685, 103, 4093, 10449, 3849, 52659, 63355, 262059}},
-{15110, 18, 28629, {1, 3, 3, 1, 9, 49, 25, 157, 107, 821, 265, 2939, 6365, 7539, 17935, 50147, 88907, 214317}},
-{15111, 18, 28657, {1, 1, 1, 13, 17, 5, 55, 217, 137, 915, 121, 3187, 3111, 7145, 30477, 20023, 71969, 179417}},
-{15112, 18, 28667, {1, 1, 1, 5, 7, 15, 47, 71, 197, 725, 523, 2207, 5729, 741, 8595, 39125, 25431, 101093}},
-{15113, 18, 28711, {1, 3, 1, 7, 19, 37, 117, 235, 353, 459, 207, 953, 4955, 14979, 22897, 53911, 7783, 203667}},
-{15114, 18, 28718, {1, 1, 5, 13, 9, 17, 21, 95, 37, 751, 1463, 2491, 791, 1569, 32055, 61415, 113885, 259285}},
-{15115, 18, 28730, {1, 1, 3, 11, 1, 23, 5, 73, 61, 719, 215, 469, 3267, 12003, 16535, 46913, 58321, 2407}},
-{15116, 18, 28732, {1, 1, 5, 11, 5, 9, 81, 1, 275, 877, 791, 1591, 2109, 9983, 29085, 15069, 44757, 17887}},
-{15117, 18, 28777, {1, 3, 7, 11, 23, 47, 121, 53, 55, 677, 1239, 2591, 579, 11321, 14231, 53701, 71947, 56793}},
-{15118, 18, 28801, {1, 1, 5, 1, 7, 31, 39, 205, 231, 843, 159, 2301, 7765, 3317, 8935, 60647, 110545, 142543}},
-{15119, 18, 28822, {1, 3, 3, 11, 25, 39, 9, 131, 145, 373, 41, 1687, 417, 9427, 8657, 18315, 18505, 144055}},
-{15120, 18, 28855, {1, 3, 7, 3, 1, 51, 61, 223, 409, 607, 1281, 1767, 4719, 10741, 21537, 17307, 5473, 76127}},
-{15121, 18, 28859, {1, 1, 1, 1, 1, 43, 35, 157, 183, 835, 1141, 3235, 1383, 11381, 4503, 20435, 73125, 196955}},
-{15122, 18, 28869, {1, 1, 5, 7, 13, 47, 9, 191, 349, 587, 1887, 3667, 619, 9443, 28781, 7759, 6023, 81595}},
-{15123, 18, 28893, {1, 3, 5, 9, 31, 27, 77, 47, 375, 229, 989, 1241, 4937, 5881, 18797, 21743, 49947, 246165}},
-{15124, 18, 28904, {1, 1, 5, 1, 29, 23, 43, 237, 293, 391, 243, 3471, 5205, 9951, 29329, 19873, 114325, 19239}},
-{15125, 18, 28922, {1, 3, 3, 5, 19, 49, 23, 149, 419, 23, 21, 515, 3321, 3157, 28559, 8521, 11119, 192881}},
-{15126, 18, 28930, {1, 3, 1, 9, 29, 17, 15, 13, 171, 57, 1849, 3815, 7361, 7723, 23657, 60883, 54953, 159861}},
-{15127, 18, 28949, {1, 1, 3, 5, 13, 57, 35, 227, 143, 725, 2023, 2583, 2277, 4721, 4395, 61479, 112487, 211861}},
-{15128, 18, 28972, {1, 1, 5, 7, 7, 25, 83, 95, 281, 931, 415, 1661, 1543, 5313, 13317, 21203, 23965, 60891}},
-{15129, 18, 29002, {1, 3, 3, 1, 25, 51, 65, 147, 7, 521, 235, 2165, 6219, 14247, 30621, 43245, 8133, 49481}},
-{15130, 18, 29009, {1, 1, 5, 11, 13, 27, 39, 51, 213, 811, 151, 1157, 7821, 6481, 32097, 12319, 52005, 33291}},
-{15131, 18, 29061, {1, 1, 1, 13, 19, 15, 39, 205, 481, 253, 1643, 2969, 3181, 13995, 29877, 1307, 101721, 119111}},
-{15132, 18, 29068, {1, 1, 1, 11, 5, 63, 57, 53, 187, 315, 1521, 847, 5955, 3179, 21459, 25937, 83215, 181599}},
-{15133, 18, 29107, {1, 1, 7, 13, 17, 35, 113, 73, 105, 497, 1183, 3397, 4443, 14697, 29201, 40737, 40943, 3529}},
-{15134, 18, 29119, {1, 3, 5, 5, 3, 53, 101, 125, 173, 137, 333, 381, 1143, 1165, 789, 50013, 23595, 50235}},
-{15135, 18, 29142, {1, 1, 3, 1, 23, 3, 21, 143, 475, 337, 1693, 2341, 6509, 4167, 21031, 13887, 83191, 85187}},
-{15136, 18, 29146, {1, 1, 3, 1, 29, 59, 39, 217, 77, 943, 1531, 383, 6535, 2593, 8601, 61865, 26629, 57313}},
-{15137, 18, 29152, {1, 3, 5, 15, 17, 15, 19, 31, 273, 507, 1193, 2501, 4677, 13355, 5287, 1155, 102959, 185219}},
-{15138, 18, 29200, {1, 1, 1, 9, 3, 3, 5, 111, 159, 913, 331, 303, 3673, 12227, 5245, 63749, 107123, 26315}},
-{15139, 18, 29206, {1, 3, 5, 11, 13, 13, 115, 237, 481, 793, 1783, 1107, 4811, 3965, 29571, 63237, 15013, 176925}},
-{15140, 18, 29245, {1, 1, 7, 1, 13, 57, 85, 15, 19, 889, 1637, 1721, 6299, 6659, 5541, 24365, 38363, 67749}},
-{15141, 18, 29254, {1, 1, 3, 1, 9, 39, 15, 183, 133, 821, 1361, 2617, 7197, 8251, 12599, 60549, 42947, 72519}},
-{15142, 18, 29258, {1, 3, 1, 5, 19, 17, 69, 189, 309, 33, 2003, 569, 6189, 7845, 22351, 14623, 35287, 160511}},
-{15143, 18, 29260, {1, 1, 7, 13, 25, 3, 1, 203, 163, 661, 513, 3513, 741, 16259, 29817, 6059, 23823, 51869}},
-{15144, 18, 29268, {1, 3, 3, 1, 9, 43, 59, 77, 465, 223, 2007, 2187, 1499, 9373, 10535, 22207, 111689, 108485}},
-{15145, 18, 29281, {1, 1, 5, 15, 1, 21, 87, 163, 177, 751, 115, 3981, 4257, 5345, 31211, 44075, 16983, 69783}},
-{15146, 18, 29306, {1, 1, 1, 3, 29, 31, 7, 41, 181, 979, 1661, 1403, 2577, 983, 545, 6205, 20183, 44735}},
-{15147, 18, 29317, {1, 3, 3, 15, 5, 1, 85, 243, 59, 161, 1053, 803, 1813, 13583, 2559, 62761, 105337, 83209}},
-{15148, 18, 29324, {1, 3, 3, 3, 5, 21, 101, 61, 379, 369, 1865, 3289, 2643, 951, 26493, 17915, 8185, 42387}},
-{15149, 18, 29342, {1, 3, 5, 15, 15, 13, 119, 103, 141, 735, 1317, 3345, 2885, 4145, 30719, 965, 10819, 90295}},
-{15150, 18, 29375, {1, 3, 7, 13, 15, 11, 19, 163, 495, 369, 1285, 609, 1559, 9965, 31123, 55101, 76743, 104435}},
-{15151, 18, 29384, {1, 1, 5, 1, 25, 5, 5, 139, 441, 447, 353, 1369, 959, 14593, 30991, 20651, 126945, 2219}},
-{15152, 18, 29389, {1, 3, 5, 9, 21, 9, 113, 83, 115, 15, 161, 1559, 3095, 1447, 10253, 51481, 114541, 248375}},
-{15153, 18, 29411, {1, 3, 3, 1, 31, 61, 111, 69, 495, 195, 1153, 2605, 5061, 15509, 8253, 41909, 126033, 51173}},
-{15154, 18, 29413, {1, 1, 7, 15, 15, 41, 121, 75, 471, 539, 341, 441, 5357, 11509, 32525, 65477, 101251, 164835}},
-{15155, 18, 29446, {1, 1, 5, 7, 3, 63, 13, 123, 285, 499, 1023, 3533, 483, 13747, 26515, 52381, 9073, 256319}},
-{15156, 18, 29457, {1, 3, 1, 13, 29, 41, 75, 43, 229, 557, 1775, 1933, 5567, 11439, 22045, 10571, 96761, 98559}},
-{15157, 18, 29458, {1, 1, 3, 11, 19, 39, 3, 93, 435, 433, 2005, 1561, 385, 15865, 19763, 44105, 48107, 163063}},
-{15158, 18, 29483, {1, 1, 7, 5, 29, 37, 53, 19, 335, 325, 133, 2055, 3029, 14573, 30395, 38599, 97637, 203443}},
-{15159, 18, 29488, {1, 1, 7, 15, 29, 51, 7, 145, 21, 955, 1013, 579, 4971, 4849, 11691, 23725, 71079, 102641}},
-{15160, 18, 29494, {1, 1, 7, 3, 9, 49, 79, 187, 237, 823, 1951, 2947, 3633, 9119, 14393, 52969, 44703, 222389}},
-{15161, 18, 29506, {1, 3, 5, 11, 13, 9, 13, 245, 499, 661, 1899, 1313, 6907, 12259, 4577, 38547, 79687, 17555}},
-{15162, 18, 29553, {1, 3, 3, 1, 5, 59, 123, 197, 293, 247, 687, 695, 7493, 3115, 28535, 44335, 31905, 81607}},
-{15163, 18, 29569, {1, 3, 1, 3, 19, 5, 45, 101, 457, 395, 565, 3155, 8081, 4863, 1199, 32133, 73087, 27025}},
-{15164, 18, 29587, {1, 3, 7, 1, 31, 35, 111, 95, 379, 663, 731, 1813, 4551, 13105, 18275, 19729, 121971, 139959}},
-{15165, 18, 29590, {1, 1, 7, 3, 23, 47, 11, 117, 323, 943, 183, 2169, 4625, 12931, 1305, 23345, 119521, 67911}},
-{15166, 18, 29600, {1, 1, 1, 13, 19, 45, 37, 77, 301, 741, 747, 241, 5865, 11141, 7961, 10609, 97833, 256555}},
-{15167, 18, 29612, {1, 1, 1, 11, 27, 21, 119, 103, 277, 761, 201, 2063, 1043, 13303, 6535, 15553, 57695, 124187}},
-{15168, 18, 29665, {1, 3, 7, 3, 1, 11, 79, 143, 345, 237, 1421, 193, 1889, 2515, 11729, 559, 35227, 9393}},
-{15169, 18, 29722, {1, 3, 1, 1, 27, 27, 117, 159, 183, 871, 47, 989, 999, 303, 30833, 8229, 116301, 199439}},
-{15170, 18, 29745, {1, 1, 1, 1, 31, 27, 41, 83, 435, 409, 999, 2275, 4489, 1985, 21455, 23275, 125039, 192979}},
-{15171, 18, 29746, {1, 3, 7, 3, 19, 49, 27, 185, 9, 385, 191, 735, 3439, 16307, 21181, 58749, 128393, 140383}},
-{15172, 18, 29752, {1, 3, 7, 3, 15, 5, 65, 89, 11, 915, 673, 947, 3847, 6833, 10095, 34261, 101645, 42131}},
-{15173, 18, 29775, {1, 3, 5, 11, 11, 25, 79, 225, 495, 951, 1033, 5, 699, 9621, 1791, 48221, 59275, 49875}},
-{15174, 18, 29778, {1, 3, 7, 13, 29, 59, 105, 101, 233, 901, 863, 413, 2087, 16209, 445, 27463, 61465, 121795}},
-{15175, 18, 29800, {1, 1, 1, 11, 5, 19, 11, 51, 503, 313, 195, 3, 7249, 4919, 11931, 15569, 118297, 115989}},
-{15176, 18, 29829, {1, 3, 3, 13, 13, 61, 63, 57, 429, 487, 2033, 847, 7539, 1469, 3197, 1307, 124557, 211999}},
-{15177, 18, 29830, {1, 3, 7, 13, 25, 27, 39, 103, 165, 39, 1587, 3103, 1745, 12593, 10779, 37105, 29059, 256739}},
-{15178, 18, 29877, {1, 3, 3, 9, 25, 51, 105, 109, 99, 267, 623, 1351, 3837, 793, 28609, 52199, 15621, 77873}},
-{15179, 18, 29881, {1, 1, 3, 7, 29, 61, 45, 237, 431, 791, 91, 1259, 8071, 11103, 27257, 10153, 18639, 248949}},
-{15180, 18, 29884, {1, 1, 1, 9, 15, 47, 113, 189, 291, 837, 1317, 2263, 7183, 6669, 17241, 35275, 9087, 241577}},
-{15181, 18, 29895, {1, 1, 3, 1, 15, 59, 85, 21, 69, 569, 1473, 2735, 713, 3817, 14677, 26897, 75291, 251255}},
-{15182, 18, 29899, {1, 1, 1, 7, 17, 21, 105, 77, 367, 905, 513, 1807, 5571, 14627, 10349, 47821, 34395, 51143}},
-{15183, 18, 29916, {1, 3, 7, 13, 27, 19, 123, 145, 371, 857, 1699, 2231, 373, 781, 28713, 21441, 64059, 10689}},
-{15184, 18, 29923, {1, 1, 1, 7, 19, 57, 81, 223, 87, 315, 1253, 421, 1371, 1547, 1411, 6809, 23889, 213385}},
-{15185, 18, 29935, {1, 3, 1, 5, 23, 57, 89, 15, 227, 965, 1247, 3861, 7723, 15621, 7151, 53961, 47167, 73679}},
-{15186, 18, 29955, {1, 3, 7, 15, 31, 21, 9, 79, 87, 561, 1001, 3395, 2095, 15381, 30725, 48111, 68031, 121687}},
-{15187, 18, 29962, {1, 3, 1, 9, 15, 29, 83, 87, 377, 331, 2035, 93, 2319, 3637, 4809, 40091, 93141, 39881}},
-{15188, 18, 29969, {1, 3, 3, 11, 21, 39, 27, 159, 161, 439, 1417, 595, 4873, 15703, 32743, 56603, 35881, 160727}},
-{15189, 18, 29997, {1, 1, 3, 5, 21, 37, 55, 159, 497, 425, 469, 1185, 5015, 7045, 7179, 65325, 97167, 75723}},
-{15190, 18, 30032, {1, 3, 1, 7, 31, 21, 125, 223, 479, 765, 1115, 33, 2765, 12781, 22923, 36051, 103749, 33703}},
-{15191, 18, 30041, {1, 1, 7, 1, 9, 3, 29, 125, 337, 973, 253, 3179, 3269, 8801, 19369, 20693, 17331, 190295}},
-{15192, 18, 30048, {1, 1, 3, 3, 13, 5, 115, 31, 481, 45, 855, 81, 3663, 10443, 13853, 29847, 99471, 249943}},
-{15193, 18, 30060, {1, 1, 3, 7, 3, 1, 47, 31, 169, 625, 201, 2257, 4617, 1633, 26681, 53793, 78257, 8955}},
-{15194, 18, 30063, {1, 1, 5, 1, 23, 3, 95, 89, 429, 559, 119, 2619, 1235, 7609, 21905, 45495, 19461, 189091}},
-{15195, 18, 30105, {1, 3, 5, 5, 11, 33, 123, 45, 89, 899, 1607, 3717, 6745, 15199, 22955, 15891, 50411, 148201}},
-{15196, 18, 30122, {1, 3, 5, 9, 19, 23, 87, 21, 39, 117, 603, 823, 3015, 14853, 4341, 49029, 97183, 218713}},
-{15197, 18, 30141, {1, 1, 3, 7, 11, 55, 31, 255, 399, 861, 745, 1013, 4583, 15871, 32453, 25357, 90645, 100835}},
-{15198, 18, 30142, {1, 1, 1, 11, 13, 27, 57, 233, 45, 339, 305, 3689, 5273, 11801, 29109, 44139, 83171, 250559}},
-{15199, 18, 30153, {1, 3, 7, 13, 19, 1, 29, 113, 207, 313, 1465, 3563, 2535, 3307, 14921, 1923, 31429, 59815}},
-{15200, 18, 30171, {1, 3, 1, 5, 29, 25, 59, 95, 177, 795, 353, 3973, 8029, 1687, 5045, 16157, 30361, 218479}},
-{15201, 18, 30192, {1, 3, 5, 3, 5, 27, 109, 239, 121, 347, 93, 1645, 3293, 13181, 23793, 42935, 98659, 85385}},
-{15202, 18, 30197, {1, 1, 7, 9, 9, 37, 127, 211, 77, 557, 177, 2465, 7895, 5523, 26665, 23463, 71715, 126673}},
-{15203, 18, 30223, {1, 3, 7, 1, 27, 55, 125, 85, 47, 739, 1513, 3763, 5335, 3135, 11913, 22405, 90785, 88845}},
-{15204, 18, 30235, {1, 3, 3, 9, 29, 21, 123, 211, 491, 83, 697, 929, 3507, 7139, 30569, 16365, 122657, 77523}},
-{15205, 18, 30241, {1, 3, 5, 5, 27, 21, 41, 129, 67, 503, 877, 1893, 6055, 12709, 24613, 43831, 124035, 62631}},
-{15206, 18, 30256, {1, 3, 3, 1, 21, 15, 59, 185, 405, 487, 627, 3737, 345, 14751, 2947, 15815, 55047, 207137}},
-{15207, 18, 30291, {1, 1, 1, 9, 15, 29, 19, 155, 101, 405, 597, 329, 2977, 4333, 5465, 43863, 6009, 229481}},
-{15208, 18, 30293, {1, 1, 1, 11, 7, 27, 93, 207, 43, 599, 1899, 3979, 4219, 10199, 2901, 34261, 19435, 58317}},
-{15209, 18, 30300, {1, 1, 7, 15, 9, 47, 33, 209, 235, 655, 253, 3507, 3355, 1685, 7045, 58907, 41791, 175835}},
-{15210, 18, 30331, {1, 3, 3, 11, 11, 43, 21, 255, 45, 831, 1051, 1271, 7945, 9793, 11125, 17709, 118267, 169981}},
-{15211, 18, 30349, {1, 3, 7, 13, 27, 37, 45, 221, 243, 37, 1493, 2773, 6655, 7451, 22609, 56559, 12063, 221143}},
-{15212, 18, 30361, {1, 3, 1, 1, 9, 15, 97, 61, 241, 825, 735, 3953, 5331, 16373, 19403, 28933, 31881, 111545}},
-{15213, 18, 30367, {1, 1, 1, 15, 29, 1, 127, 111, 329, 741, 1589, 1653, 5949, 8703, 27617, 65285, 122167, 11895}},
-{15214, 18, 30392, {1, 1, 3, 3, 17, 31, 91, 197, 421, 865, 1901, 897, 6917, 15943, 12823, 15325, 17011, 110783}},
-{15215, 18, 30405, {1, 1, 3, 15, 21, 57, 29, 179, 503, 929, 1513, 205, 6083, 4015, 32517, 26921, 54229, 147789}},
-{15216, 18, 30410, {1, 1, 7, 15, 27, 21, 95, 59, 193, 97, 1235, 819, 4435, 371, 627, 24673, 1775, 261041}},
-{15217, 18, 30415, {1, 1, 7, 15, 3, 37, 99, 85, 505, 1011, 19, 1241, 5299, 15661, 27323, 44625, 12683, 225687}},
-{15218, 18, 30439, {1, 1, 7, 3, 25, 37, 111, 121, 217, 659, 365, 2627, 5499, 12911, 951, 54317, 51927, 235327}},
-{15219, 18, 30446, {1, 1, 3, 9, 29, 31, 99, 195, 427, 735, 1817, 3675, 4269, 1579, 12593, 39285, 74909, 230613}},
-{15220, 18, 30501, {1, 3, 1, 13, 7, 21, 37, 101, 111, 931, 1581, 465, 4753, 15607, 14515, 29769, 107711, 32703}},
-{15221, 18, 30526, {1, 1, 7, 15, 25, 57, 117, 119, 309, 345, 491, 3647, 2933, 5409, 15431, 43731, 25537, 17269}},
-{15222, 18, 30531, {1, 1, 5, 3, 15, 9, 83, 221, 501, 675, 1441, 129, 213, 5587, 22361, 16739, 118845, 192835}},
-{15223, 18, 30537, {1, 3, 7, 13, 1, 31, 75, 23, 13, 447, 687, 2711, 7577, 8275, 5051, 61835, 22159, 56477}},
-{15224, 18, 30546, {1, 1, 3, 1, 23, 19, 111, 45, 395, 841, 1665, 21, 7435, 12457, 11065, 20007, 48785, 15115}},
-{15225, 18, 30568, {1, 3, 7, 7, 21, 3, 117, 35, 117, 433, 561, 3045, 2169, 3255, 18015, 41093, 99699, 3479}},
-{15226, 18, 30581, {1, 1, 3, 7, 9, 59, 65, 143, 315, 63, 29, 3817, 1259, 7119, 20847, 44407, 80015, 37851}},
-{15227, 18, 30588, {1, 3, 7, 13, 13, 33, 85, 75, 39, 163, 1759, 1197, 5971, 8815, 8745, 45625, 121873, 246197}},
-{15228, 18, 30598, {1, 1, 1, 13, 31, 41, 61, 7, 145, 113, 943, 3757, 2141, 3523, 22351, 14143, 107683, 105579}},
-{15229, 18, 30607, {1, 1, 5, 5, 23, 27, 75, 77, 25, 901, 1295, 3091, 981, 10109, 12649, 15123, 102433, 145557}},
-{15230, 18, 30609, {1, 1, 7, 5, 9, 11, 19, 229, 301, 835, 1577, 3365, 425, 2271, 15647, 11685, 57315, 131043}},
-{15231, 18, 30616, {1, 3, 1, 13, 31, 3, 113, 7, 473, 395, 1979, 61, 4205, 2031, 28007, 34789, 54463, 94741}},
-{15232, 18, 30626, {1, 1, 3, 5, 7, 13, 35, 151, 461, 621, 185, 2645, 907, 9151, 25953, 26363, 105531, 235555}},
-{15233, 18, 30628, {1, 3, 3, 13, 21, 5, 43, 183, 149, 607, 509, 777, 4089, 16365, 32201, 60431, 58773, 92719}},
-{15234, 18, 30638, {1, 3, 3, 11, 25, 53, 103, 203, 269, 1017, 77, 3537, 4839, 15991, 29223, 57397, 122735, 67299}},
-{15235, 18, 30658, {1, 3, 3, 1, 29, 45, 85, 171, 307, 455, 1399, 2367, 5991, 5751, 27957, 36649, 9251, 38581}},
-{15236, 18, 30663, {1, 1, 5, 13, 29, 15, 127, 1, 175, 921, 671, 2469, 3137, 3679, 32521, 5321, 92505, 45901}},
-{15237, 18, 30675, {1, 3, 3, 11, 23, 23, 113, 255, 443, 609, 1085, 133, 5369, 885, 17043, 20961, 36137, 260457}},
-{15238, 18, 30698, {1, 3, 3, 9, 13, 55, 117, 19, 111, 323, 275, 495, 6679, 2217, 12015, 3053, 32745, 189413}},
-{15239, 18, 30708, {1, 3, 5, 13, 31, 43, 37, 225, 67, 755, 1427, 3967, 6497, 9987, 28145, 50583, 59457, 213217}},
-{15240, 18, 30712, {1, 3, 1, 15, 1, 5, 121, 249, 293, 695, 1697, 313, 61, 4037, 11757, 53739, 5693, 106225}},
-{15241, 18, 30727, {1, 1, 7, 1, 23, 9, 111, 211, 303, 147, 1291, 3807, 1969, 4115, 7473, 50077, 60745, 41605}},
-{15242, 18, 30736, {1, 3, 3, 15, 21, 51, 63, 171, 197, 403, 1327, 1851, 6991, 9069, 19221, 45765, 55489, 34853}},
-{15243, 18, 30748, {1, 1, 5, 3, 5, 53, 87, 241, 255, 309, 1319, 3727, 3189, 10887, 13401, 32371, 24479, 170571}},
-{15244, 18, 30758, {1, 1, 7, 11, 5, 5, 59, 177, 317, 835, 527, 165, 2137, 9597, 30181, 1779, 75407, 185827}},
-{15245, 18, 30775, {1, 3, 3, 7, 25, 15, 15, 183, 235, 955, 27, 2223, 5587, 11301, 17653, 56697, 70787, 198347}},
-{15246, 18, 30793, {1, 3, 5, 5, 11, 63, 123, 41, 169, 975, 1709, 2965, 7491, 4183, 15217, 41343, 36139, 9649}},
-{15247, 18, 30802, {1, 1, 3, 7, 5, 37, 87, 247, 379, 603, 781, 463, 8063, 13681, 32005, 43485, 107401, 42303}},
-{15248, 18, 30820, {1, 3, 5, 9, 19, 53, 61, 219, 217, 361, 769, 1687, 5643, 3145, 12885, 40303, 86377, 255051}},
-{15249, 18, 30823, {1, 1, 7, 11, 15, 49, 127, 99, 127, 515, 647, 1725, 1605, 2357, 2069, 31803, 14179, 180367}},
-{15250, 18, 30827, {1, 3, 5, 15, 9, 7, 41, 3, 49, 485, 1471, 207, 6477, 4463, 12255, 53481, 110785, 909}},
-{15251, 18, 30848, {1, 1, 5, 9, 23, 51, 107, 227, 205, 987, 1525, 2739, 6761, 12343, 32311, 12523, 93351, 29663}},
-{15252, 18, 30893, {1, 3, 5, 11, 21, 19, 53, 169, 197, 21, 825, 4029, 6733, 8943, 13475, 60677, 31001, 242291}},
-{15253, 18, 30906, {1, 3, 7, 13, 9, 27, 87, 37, 265, 877, 735, 2249, 4801, 2365, 16923, 40451, 29693, 222483}},
-{15254, 18, 30950, {1, 1, 3, 9, 31, 61, 71, 103, 215, 421, 193, 3451, 6181, 4271, 30875, 59573, 80773, 100369}},
-{15255, 18, 30956, {1, 1, 3, 13, 17, 55, 73, 191, 233, 821, 961, 1637, 2393, 3453, 25959, 5069, 114585, 186001}},
-{15256, 18, 30996, {1, 1, 7, 5, 15, 27, 39, 23, 69, 811, 709, 2349, 6011, 803, 12497, 7387, 62023, 247875}},
-{15257, 18, 31015, {1, 1, 5, 13, 29, 55, 51, 41, 121, 599, 1633, 3813, 1913, 3803, 26097, 53799, 30997, 261965}},
-{15258, 18, 31016, {1, 1, 1, 11, 31, 25, 19, 195, 87, 657, 1005, 3853, 61, 6585, 24665, 38283, 5495, 257201}},
-{15259, 18, 31034, {1, 1, 1, 11, 23, 43, 91, 121, 49, 491, 1443, 1873, 7689, 15957, 30463, 64079, 100003, 325}},
-{15260, 18, 31099, {1, 1, 7, 1, 25, 51, 27, 105, 119, 233, 513, 3403, 2647, 2847, 12687, 15619, 71225, 243759}},
-{15261, 18, 31123, {1, 1, 7, 3, 17, 49, 19, 123, 307, 463, 1619, 1853, 7019, 2605, 17351, 7971, 20675, 235929}},
-{15262, 18, 31145, {1, 1, 5, 3, 17, 29, 71, 215, 365, 955, 1631, 3549, 1379, 13881, 25409, 55703, 29863, 135401}},
-{15263, 18, 31166, {1, 3, 7, 15, 3, 27, 107, 149, 65, 681, 505, 3957, 6697, 11203, 9321, 63323, 98587, 199241}},
-{15264, 18, 31168, {1, 1, 1, 13, 27, 41, 59, 223, 431, 339, 1805, 899, 639, 6559, 13233, 4773, 37415, 110477}},
-{15265, 18, 31174, {1, 3, 7, 9, 1, 59, 79, 161, 311, 905, 1755, 3915, 6259, 8955, 14187, 11331, 86185, 209805}},
-{15266, 18, 31216, {1, 1, 7, 9, 5, 27, 75, 93, 285, 89, 891, 3341, 1157, 11219, 8883, 8093, 68949, 189643}},
-{15267, 18, 31219, {1, 3, 1, 5, 1, 43, 97, 71, 67, 605, 739, 1641, 4415, 4487, 13437, 12755, 121595, 55761}},
-{15268, 18, 31238, {1, 1, 1, 3, 1, 13, 61, 77, 297, 507, 1527, 3585, 4515, 13913, 7679, 28461, 61807, 196517}},
-{15269, 18, 31256, {1, 1, 1, 3, 21, 23, 101, 135, 59, 485, 1601, 3713, 7409, 349, 16543, 18897, 97253, 149055}},
-{15270, 18, 31304, {1, 1, 1, 13, 5, 37, 15, 37, 109, 1005, 363, 1925, 2701, 13169, 17027, 58453, 27667, 234027}},
-{15271, 18, 31315, {1, 1, 7, 1, 1, 41, 67, 231, 143, 951, 2023, 3465, 1717, 645, 17353, 9037, 129127, 199467}},
-{15272, 18, 31324, {1, 1, 1, 11, 27, 29, 65, 139, 425, 947, 141, 2601, 7339, 4451, 25065, 62691, 62355, 91819}},
-{15273, 18, 31364, {1, 3, 7, 15, 29, 29, 93, 25, 139, 267, 1319, 3839, 7295, 11855, 17775, 30199, 44127, 150875}},
-{15274, 18, 31379, {1, 3, 5, 1, 3, 55, 23, 191, 199, 583, 1167, 1357, 6477, 11827, 15581, 56541, 16603, 120139}},
-{15275, 18, 31382, {1, 1, 1, 3, 5, 47, 103, 211, 443, 491, 1043, 4001, 121, 1637, 5685, 42675, 13009, 22979}},
-{15276, 18, 31412, {1, 1, 1, 9, 21, 7, 77, 17, 303, 955, 51, 2389, 3573, 8817, 28053, 40269, 35457, 211023}},
-{15277, 18, 31451, {1, 3, 5, 15, 3, 39, 17, 75, 223, 37, 1231, 2127, 3575, 9085, 10715, 41871, 103703, 154181}},
-{15278, 18, 31487, {1, 3, 3, 15, 25, 31, 31, 223, 473, 267, 1519, 3205, 7029, 10753, 24757, 28187, 117921, 26783}},
-{15279, 18, 31509, {1, 3, 7, 1, 5, 21, 105, 191, 55, 115, 1813, 3701, 1673, 4199, 2441, 19737, 46913, 208725}},
-{15280, 18, 31510, {1, 1, 5, 5, 19, 63, 89, 141, 143, 783, 545, 883, 2979, 9219, 24983, 41793, 88441, 207095}},
-{15281, 18, 31520, {1, 1, 1, 9, 21, 21, 93, 161, 93, 733, 417, 3133, 8155, 12415, 16343, 11727, 82877, 94469}},
-{15282, 18, 31535, {1, 1, 5, 15, 5, 39, 33, 203, 213, 731, 1849, 1675, 6029, 2743, 1529, 16345, 13955, 54929}},
-{15283, 18, 31564, {1, 1, 7, 7, 23, 47, 121, 211, 271, 737, 1015, 1021, 5641, 12659, 27545, 52363, 104761, 150143}},
-{15284, 18, 31585, {1, 3, 1, 11, 11, 51, 79, 141, 255, 1007, 481, 3221, 7741, 6861, 24943, 63091, 46741, 33359}},
-{15285, 18, 31586, {1, 1, 3, 3, 27, 47, 85, 27, 423, 811, 75, 3911, 1951, 10821, 7487, 18971, 83355, 197479}},
-{15286, 18, 31600, {1, 1, 5, 5, 1, 63, 125, 251, 457, 795, 557, 217, 2335, 5659, 18375, 52183, 9789, 31417}},
-{15287, 18, 31643, {1, 3, 3, 3, 19, 61, 41, 129, 345, 361, 187, 3881, 43, 7197, 7673, 25011, 115155, 16375}},
-{15288, 18, 31646, {1, 3, 3, 7, 13, 7, 55, 91, 153, 341, 2003, 2013, 6891, 2411, 14825, 39555, 50267, 61405}},
-{15289, 18, 31649, {1, 3, 5, 7, 13, 57, 21, 91, 331, 615, 1297, 2881, 2011, 1907, 16489, 43061, 75731, 76675}},
-{15290, 18, 31650, {1, 1, 5, 5, 25, 15, 77, 175, 101, 885, 835, 529, 2787, 547, 20191, 50457, 58557, 61807}},
-{15291, 18, 31674, {1, 3, 7, 1, 13, 47, 101, 117, 179, 245, 861, 611, 4377, 5257, 12807, 26667, 19889, 112485}},
-{15292, 18, 31679, {1, 3, 7, 1, 27, 3, 23, 109, 197, 187, 963, 1827, 5741, 11921, 6359, 3989, 108939, 5761}},
-{15293, 18, 31684, {1, 1, 7, 5, 27, 7, 119, 159, 53, 969, 557, 597, 7821, 7121, 17341, 11233, 10811, 23969}},
-{15294, 18, 31688, {1, 1, 3, 13, 23, 55, 75, 131, 339, 917, 317, 2645, 5973, 9939, 26375, 29261, 80883, 229897}},
-{15295, 18, 31706, {1, 1, 5, 13, 3, 63, 41, 191, 315, 191, 649, 2119, 317, 14699, 4097, 19557, 97015, 124557}},
-{15296, 18, 31735, {1, 3, 7, 15, 13, 29, 29, 43, 47, 37, 729, 185, 4477, 15091, 13991, 18701, 56785, 218823}},
-{15297, 18, 31754, {1, 3, 7, 15, 31, 39, 17, 133, 469, 509, 995, 1683, 391, 1775, 15431, 63489, 7405, 122125}},
-{15298, 18, 31761, {1, 3, 7, 5, 15, 63, 5, 235, 193, 411, 1493, 3967, 3279, 6421, 13359, 20949, 68097, 69469}},
-{15299, 18, 31774, {1, 3, 3, 13, 7, 37, 7, 207, 399, 553, 1629, 1903, 329, 7577, 5813, 17151, 40889, 174811}},
-{15300, 18, 31807, {1, 3, 1, 13, 7, 39, 119, 109, 323, 61, 749, 1377, 911, 8195, 19753, 6265, 60783, 182339}},
-{15301, 18, 31812, {1, 1, 5, 11, 3, 21, 89, 61, 243, 273, 1317, 3443, 117, 6205, 13907, 12903, 95485, 103355}},
-{15302, 18, 31821, {1, 3, 7, 13, 19, 27, 45, 251, 405, 289, 121, 1501, 2599, 8111, 5163, 17437, 75095, 165847}},
-{15303, 18, 31855, {1, 3, 3, 5, 23, 13, 29, 145, 333, 573, 1939, 2133, 5797, 5263, 18835, 11945, 42161, 103123}},
-{15304, 18, 31919, {1, 3, 5, 13, 9, 31, 45, 17, 181, 111, 219, 3451, 1591, 5823, 20307, 41207, 77047, 173401}},
-{15305, 18, 31934, {1, 3, 1, 9, 19, 63, 73, 111, 377, 875, 1749, 2887, 7035, 14209, 1805, 20527, 93839, 225185}},
-{15306, 18, 31956, {1, 3, 1, 9, 15, 45, 97, 235, 11, 803, 899, 427, 3353, 7363, 26687, 1307, 5451, 176233}},
-{15307, 18, 31965, {1, 3, 7, 5, 7, 51, 59, 53, 3, 263, 159, 1005, 6079, 7237, 17419, 56653, 61091, 182209}},
-{15308, 18, 31975, {1, 1, 3, 15, 19, 47, 17, 185, 167, 219, 233, 2921, 5755, 1277, 27281, 33671, 3191, 169477}},
-{15309, 18, 31981, {1, 3, 7, 1, 25, 27, 99, 81, 57, 969, 821, 2397, 2947, 5913, 15247, 47651, 449, 183295}},
-{15310, 18, 31999, {1, 3, 1, 15, 3, 63, 83, 75, 41, 959, 1005, 153, 97, 15381, 6901, 55141, 90215, 161321}},
-{15311, 18, 32014, {1, 3, 1, 9, 1, 1, 29, 191, 43, 241, 607, 667, 1189, 4389, 31335, 14133, 104049, 100925}},
-{15312, 18, 32022, {1, 1, 3, 1, 1, 61, 109, 23, 325, 27, 1601, 3957, 7181, 8375, 9823, 50533, 114895, 73825}},
-{15313, 18, 32049, {1, 1, 7, 7, 1, 25, 51, 19, 383, 955, 1717, 2953, 5431, 7883, 14451, 18619, 9601, 153151}},
-{15314, 18, 32055, {1, 3, 1, 5, 1, 1, 35, 3, 141, 37, 1531, 1855, 7905, 6509, 6223, 45911, 54267, 172275}},
-{15315, 18, 32082, {1, 1, 3, 15, 23, 39, 109, 145, 215, 147, 1191, 2425, 301, 5543, 997, 31071, 101697, 169677}},
-{15316, 18, 32087, {1, 1, 3, 5, 17, 23, 41, 191, 367, 967, 1625, 3669, 769, 7599, 111, 4399, 64121, 232275}},
-{15317, 18, 32100, {1, 3, 5, 1, 25, 61, 47, 247, 413, 605, 399, 1233, 2789, 9775, 7111, 42853, 2305, 87423}},
-{15318, 18, 32104, {1, 3, 7, 3, 1, 25, 73, 247, 221, 235, 169, 889, 5635, 4325, 27015, 39549, 107545, 80885}},
-{15319, 18, 32109, {1, 1, 7, 11, 15, 55, 61, 103, 179, 157, 481, 3089, 4539, 375, 25425, 14995, 60119, 31031}},
-{15320, 18, 32138, {1, 3, 3, 1, 31, 17, 87, 123, 27, 309, 1693, 3871, 7319, 15615, 20113, 18239, 86407, 172381}},
-{15321, 18, 32140, {1, 1, 1, 13, 17, 31, 83, 149, 451, 305, 847, 223, 5705, 9697, 4967, 34273, 4041, 252891}},
-{15322, 18, 32148, {1, 3, 3, 15, 7, 27, 105, 207, 443, 825, 701, 1159, 5267, 14085, 28295, 41757, 47799, 14835}},
-{15323, 18, 32161, {1, 3, 7, 3, 1, 31, 77, 219, 139, 497, 1575, 905, 4341, 4611, 27861, 59871, 45525, 21735}},
-{15324, 18, 32162, {1, 3, 3, 3, 7, 17, 65, 183, 231, 955, 1111, 1899, 1677, 13685, 29395, 10449, 62505, 125643}},
-{15325, 18, 32174, {1, 3, 5, 7, 27, 57, 81, 165, 279, 989, 1569, 573, 7593, 10067, 1343, 12039, 117175, 225125}},
-{15326, 18, 32196, {1, 3, 3, 15, 19, 37, 47, 175, 87, 153, 1137, 1985, 2473, 14767, 19587, 41751, 98937, 66667}},
-{15327, 18, 32220, {1, 3, 5, 3, 19, 51, 25, 155, 37, 597, 719, 1039, 165, 1871, 15677, 59891, 29899, 231979}},
-{15328, 18, 32223, {1, 3, 5, 13, 15, 39, 17, 21, 73, 695, 1813, 2463, 3549, 3081, 14037, 13077, 40417, 258995}},
-{15329, 18, 32267, {1, 1, 5, 9, 29, 5, 105, 75, 97, 937, 1767, 975, 637, 9419, 30673, 33537, 979, 45381}},
-{15330, 18, 32272, {1, 1, 5, 9, 3, 31, 91, 193, 171, 163, 925, 3519, 3621, 4943, 14093, 22881, 18459, 110155}},
-{15331, 18, 32308, {1, 1, 3, 7, 29, 1, 39, 107, 359, 805, 91, 2911, 4741, 3099, 16967, 45849, 95255, 63225}},
-{15332, 18, 32315, {1, 1, 5, 13, 25, 41, 49, 145, 345, 823, 1571, 341, 6323, 9679, 14855, 19965, 108367, 99833}},
-{15333, 18, 32317, {1, 3, 5, 3, 27, 35, 87, 83, 373, 425, 281, 1313, 5153, 6301, 2745, 12677, 34603, 181835}},
-{15334, 18, 32347, {1, 1, 7, 7, 13, 17, 83, 101, 141, 789, 1403, 2777, 2749, 1551, 9009, 9909, 48443, 176679}},
-{15335, 18, 32360, {1, 3, 5, 9, 7, 25, 125, 109, 155, 357, 1111, 3057, 771, 11253, 25811, 60333, 68505, 146987}},
-{15336, 18, 32394, {1, 3, 7, 7, 29, 19, 69, 115, 411, 793, 51, 715, 3035, 11577, 14237, 23963, 13915, 196771}},
-{15337, 18, 32411, {1, 1, 3, 3, 27, 37, 61, 163, 131, 749, 37, 1333, 47, 2519, 25473, 40851, 55861, 113961}},
-{15338, 18, 32420, {1, 3, 5, 1, 3, 49, 19, 251, 125, 387, 1887, 3571, 1465, 4831, 3859, 43357, 20859, 225835}},
-{15339, 18, 32423, {1, 3, 5, 9, 27, 53, 53, 143, 383, 781, 819, 2921, 3499, 11551, 18761, 14453, 58209, 181763}},
-{15340, 18, 32455, {1, 3, 7, 9, 17, 17, 79, 61, 145, 413, 541, 895, 2077, 6957, 28681, 44821, 30609, 131705}},
-{15341, 18, 32456, {1, 1, 3, 15, 1, 57, 17, 125, 11, 43, 1079, 1023, 5391, 67, 31701, 5737, 429, 75411}},
-{15342, 18, 32510, {1, 1, 7, 7, 21, 45, 65, 127, 447, 793, 161, 333, 637, 7403, 12861, 30173, 125121, 254687}},
-{15343, 18, 32517, {1, 1, 3, 9, 27, 53, 85, 223, 297, 455, 919, 2371, 7049, 7167, 18075, 22815, 10265, 14765}},
-{15344, 18, 32541, {1, 1, 3, 7, 1, 53, 91, 181, 471, 101, 771, 4043, 3039, 1215, 19289, 15941, 55187, 147355}},
-{15345, 18, 32552, {1, 3, 1, 1, 13, 19, 13, 47, 159, 965, 1383, 297, 4299, 7181, 1271, 17057, 114847, 180883}},
-{15346, 18, 32555, {1, 3, 1, 15, 29, 55, 113, 243, 215, 665, 641, 1975, 5907, 2617, 17077, 43697, 61101, 70007}},
-{15347, 18, 32580, {1, 3, 1, 11, 5, 55, 109, 145, 307, 663, 1327, 1247, 8033, 15425, 18539, 57027, 72161, 181655}},
-{15348, 18, 32598, {1, 3, 5, 9, 25, 17, 3, 57, 7, 449, 1049, 3423, 5769, 12713, 29849, 1017, 92579, 131255}},
-{15349, 18, 32654, {1, 1, 7, 13, 25, 13, 55, 217, 461, 595, 931, 1883, 2645, 9625, 20467, 45825, 72027, 163767}},
-{15350, 18, 32662, {1, 3, 5, 15, 29, 49, 23, 47, 45, 645, 973, 3837, 621, 7373, 3585, 16083, 93823, 184593}},
-{15351, 18, 32665, {1, 3, 7, 11, 27, 19, 59, 125, 447, 33, 541, 1067, 6983, 3779, 27275, 34269, 106937, 65085}},
-{15352, 18, 32678, {1, 3, 1, 9, 23, 23, 51, 43, 475, 861, 1759, 2559, 3059, 1175, 31555, 27671, 117653, 162735}},
-{15353, 18, 32682, {1, 1, 7, 13, 7, 61, 33, 49, 23, 737, 949, 1785, 2921, 873, 26631, 61941, 14467, 76225}},
-{15354, 18, 32687, {1, 3, 7, 5, 31, 11, 49, 149, 7, 85, 1929, 1001, 4185, 221, 23719, 52265, 52973, 67967}},
-{15355, 18, 32692, {1, 3, 1, 13, 17, 31, 35, 191, 65, 527, 51, 1093, 3673, 11167, 29985, 59739, 43567, 109817}},
-{15356, 18, 32710, {1, 1, 1, 11, 23, 39, 95, 121, 501, 355, 1043, 993, 7533, 15763, 18399, 31601, 49373, 243209}},
-{15357, 18, 32791, {1, 1, 3, 3, 15, 37, 57, 183, 27, 981, 153, 1481, 549, 7847, 2689, 57401, 46359, 175401}},
-{15358, 18, 32792, {1, 3, 5, 9, 31, 19, 83, 79, 413, 597, 1957, 3027, 4751, 1437, 11255, 39513, 56927, 166841}},
-{15359, 18, 32813, {1, 3, 7, 5, 27, 61, 69, 65, 143, 321, 1129, 2521, 4467, 4369, 11727, 35643, 80155, 184241}},
-{15360, 18, 32826, {1, 3, 7, 1, 25, 27, 107, 219, 481, 457, 2027, 1057, 6409, 5641, 19711, 11009, 44295, 28171}},
-{15361, 18, 32831, {1, 3, 3, 9, 3, 17, 85, 5, 341, 107, 2037, 93, 741, 5279, 20093, 28637, 80823, 210279}},
-{15362, 18, 32836, {1, 1, 7, 15, 5, 9, 33, 167, 451, 463, 1951, 2395, 3821, 2915, 15195, 34517, 113545, 22173}},
-{15363, 18, 32843, {1, 1, 3, 1, 23, 55, 113, 159, 139, 795, 69, 2021, 6769, 10807, 18605, 54161, 39501, 233797}},
-{15364, 18, 32854, {1, 1, 7, 11, 17, 53, 103, 131, 385, 909, 629, 3127, 6117, 11457, 31115, 8255, 33227, 170877}},
-{15365, 18, 32893, {1, 1, 3, 9, 23, 19, 99, 221, 141, 731, 311, 2617, 2763, 375, 26763, 56473, 6613, 60519}},
-{15366, 18, 32897, {1, 3, 1, 9, 7, 29, 15, 105, 243, 159, 1755, 3999, 5861, 12009, 30111, 48269, 70427, 187173}},
-{15367, 18, 32912, {1, 1, 3, 13, 1, 35, 39, 121, 409, 571, 1835, 1535, 4671, 12671, 4503, 4783, 48009, 216837}},
-{15368, 18, 32951, {1, 1, 1, 9, 25, 61, 87, 109, 489, 107, 1741, 859, 237, 7161, 27117, 58587, 55445, 155763}},
-{15369, 18, 32963, {1, 1, 7, 15, 9, 21, 61, 159, 301, 863, 1823, 11, 419, 6717, 28199, 24129, 58419, 22147}},
-{15370, 18, 32970, {1, 3, 1, 5, 9, 7, 13, 205, 185, 759, 777, 2877, 5991, 14555, 18793, 51485, 6373, 232105}},
-{15371, 18, 32975, {1, 1, 3, 5, 7, 25, 51, 79, 227, 447, 867, 2709, 2677, 15249, 22957, 45577, 39011, 16839}},
-{15372, 18, 33028, {1, 1, 1, 3, 5, 51, 69, 135, 395, 339, 685, 3657, 3789, 16345, 2911, 51737, 97471, 126605}},
-{15373, 18, 33052, {1, 3, 7, 15, 15, 5, 85, 153, 507, 347, 1457, 527, 1055, 7773, 4161, 10487, 92373, 256535}},
-{15374, 18, 33061, {1, 3, 3, 3, 1, 9, 25, 1, 155, 321, 1739, 555, 7719, 10501, 19075, 12529, 75975, 229905}},
-{15375, 18, 33083, {1, 1, 1, 3, 29, 31, 89, 23, 283, 875, 1653, 855, 7613, 15277, 23845, 47443, 287, 217441}},
-{15376, 18, 33103, {1, 3, 3, 1, 25, 7, 75, 119, 493, 131, 231, 3063, 7171, 5437, 16385, 50347, 87427, 53603}},
-{15377, 18, 33117, {1, 3, 7, 7, 27, 55, 103, 223, 219, 103, 733, 1233, 1931, 2119, 19333, 59839, 100421, 256811}},
-{15378, 18, 33139, {1, 3, 7, 15, 23, 63, 77, 151, 285, 701, 1403, 1267, 6975, 11421, 24943, 51647, 75651, 191675}},
-{15379, 18, 33151, {1, 1, 5, 7, 25, 23, 25, 7, 503, 759, 997, 1711, 1439, 12483, 30117, 55205, 8813, 221589}},
-{15380, 18, 33162, {1, 3, 7, 5, 21, 3, 117, 65, 461, 851, 915, 575, 3061, 1055, 11999, 8375, 128677, 98005}},
-{15381, 18, 33209, {1, 3, 7, 7, 19, 13, 123, 23, 41, 293, 79, 1435, 1175, 7399, 14907, 4671, 88029, 220627}},
-{15382, 18, 33210, {1, 3, 3, 13, 11, 17, 65, 21, 143, 257, 1001, 2423, 5659, 11681, 23605, 40649, 49797, 55497}},
-{15383, 18, 33223, {1, 3, 5, 5, 29, 15, 125, 83, 139, 381, 1435, 2129, 1699, 10725, 531, 767, 112477, 134223}},
-{15384, 18, 33227, {1, 3, 7, 9, 9, 23, 35, 1, 127, 143, 707, 1475, 4705, 8921, 14919, 50909, 64425, 33381}},
-{15385, 18, 33241, {1, 1, 1, 15, 11, 63, 87, 101, 243, 833, 707, 4095, 201, 4877, 10219, 39019, 129779, 229857}},
-{15386, 18, 33263, {1, 1, 1, 11, 5, 9, 35, 177, 303, 545, 917, 1037, 1789, 12147, 29095, 27391, 112833, 104713}},
-{15387, 18, 33341, {1, 1, 1, 5, 27, 23, 111, 219, 439, 445, 967, 3527, 6203, 1829, 19657, 48965, 85213, 58719}},
-{15388, 18, 33344, {1, 3, 7, 11, 15, 7, 95, 113, 317, 225, 1229, 3033, 5777, 4075, 24093, 3539, 19333, 212757}},
-{15389, 18, 33356, {1, 3, 7, 7, 1, 35, 35, 67, 459, 769, 1675, 3509, 7393, 10433, 12003, 7385, 4425, 188989}},
-{15390, 18, 33390, {1, 1, 7, 9, 5, 45, 35, 27, 443, 301, 533, 2803, 99, 17, 20749, 58353, 93067, 118763}},
-{15391, 18, 33398, {1, 1, 3, 3, 13, 51, 61, 181, 81, 859, 1461, 3455, 2277, 13769, 1251, 4313, 119973, 30693}},
-{15392, 18, 33423, {1, 1, 3, 7, 15, 29, 23, 207, 239, 65, 1889, 151, 7793, 2657, 13673, 29033, 74477, 215027}},
-{15393, 18, 33428, {1, 1, 5, 1, 19, 35, 19, 71, 187, 783, 543, 505, 347, 3191, 1087, 49735, 54109, 27979}},
-{15394, 18, 33444, {1, 3, 3, 3, 3, 61, 67, 59, 207, 957, 1709, 1567, 7973, 5921, 29841, 8311, 81165, 91965}},
-{15395, 18, 33454, {1, 1, 1, 7, 23, 47, 109, 189, 447, 861, 1615, 3283, 3059, 749, 28729, 8713, 38743, 211019}},
-{15396, 18, 33479, {1, 3, 5, 1, 17, 51, 127, 181, 355, 515, 603, 465, 1825, 9281, 31971, 42793, 22467, 175777}},
-{15397, 18, 33510, {1, 3, 1, 5, 3, 29, 111, 91, 99, 15, 535, 3047, 1083, 7181, 28003, 60719, 71825, 12293}},
-{15398, 18, 33514, {1, 3, 5, 7, 1, 43, 83, 117, 221, 353, 139, 647, 6017, 4655, 31823, 22097, 118537, 71803}},
-{15399, 18, 33528, {1, 1, 3, 3, 27, 11, 35, 169, 215, 883, 1195, 2983, 4651, 15893, 24051, 313, 103947, 5227}},
-{15400, 18, 33548, {1, 3, 5, 13, 3, 51, 33, 159, 499, 763, 845, 1541, 3837, 9397, 855, 4187, 112167, 243817}},
-{15401, 18, 33566, {1, 1, 7, 9, 1, 15, 19, 239, 227, 561, 1685, 2841, 53, 9753, 15105, 34277, 128859, 100085}},
-{15402, 18, 33570, {1, 3, 5, 13, 15, 7, 57, 9, 415, 1005, 583, 1347, 4349, 3603, 9125, 15019, 77735, 237011}},
-{15403, 18, 33593, {1, 1, 1, 13, 27, 21, 105, 17, 235, 605, 1417, 2053, 3233, 11617, 28651, 43161, 71663, 98373}},
-{15404, 18, 33599, {1, 3, 5, 13, 29, 17, 123, 105, 477, 359, 613, 1699, 2581, 3007, 8507, 14391, 95487, 633}},
-{15405, 18, 33619, {1, 1, 7, 7, 13, 55, 107, 211, 71, 339, 1169, 2629, 165, 16207, 25523, 7101, 47553, 261131}},
-{15406, 18, 33635, {1, 3, 5, 15, 11, 7, 45, 207, 39, 41, 781, 3347, 2529, 4475, 9665, 31499, 119837, 128755}},
-{15407, 18, 33659, {1, 3, 1, 15, 23, 59, 59, 17, 89, 823, 59, 3991, 305, 14893, 1411, 8015, 92193, 66935}},
-{15408, 18, 33680, {1, 1, 7, 15, 19, 29, 11, 207, 429, 851, 1661, 2903, 4413, 447, 29447, 39243, 70435, 160451}},
-{15409, 18, 33699, {1, 1, 3, 13, 17, 5, 93, 89, 455, 67, 33, 65, 7957, 14383, 28525, 56983, 71899, 4881}},
-{15410, 18, 33713, {1, 3, 3, 5, 11, 7, 47, 233, 433, 791, 47, 2561, 6539, 1151, 2083, 12309, 62353, 69507}},
-{15411, 18, 33758, {1, 3, 5, 11, 15, 55, 101, 251, 41, 39, 383, 3481, 1817, 3447, 6205, 38169, 98267, 157091}},
-{15412, 18, 33771, {1, 3, 5, 7, 9, 47, 113, 55, 421, 703, 849, 2251, 129, 9257, 28097, 33475, 98933, 32041}},
-{15413, 18, 33779, {1, 3, 3, 11, 9, 59, 1, 211, 277, 969, 977, 3079, 4707, 3341, 17679, 9469, 52859, 125883}},
-{15414, 18, 33800, {1, 1, 7, 13, 29, 19, 49, 149, 259, 573, 1137, 2571, 2661, 12865, 24993, 10721, 96921, 85931}},
-{15415, 18, 33829, {1, 3, 1, 9, 15, 27, 91, 127, 305, 159, 523, 2539, 1969, 4325, 595, 37077, 79919, 26889}},
-{15416, 18, 33836, {1, 3, 1, 11, 1, 5, 65, 75, 317, 909, 1601, 2713, 6891, 4927, 28427, 5791, 82285, 35209}},
-{15417, 18, 33844, {1, 3, 7, 7, 9, 5, 111, 167, 477, 437, 1133, 2715, 6189, 5051, 4765, 26267, 99819, 70419}},
-{15418, 18, 33856, {1, 1, 3, 9, 27, 57, 23, 233, 423, 191, 1159, 1539, 6397, 16041, 8803, 19787, 114447, 17029}},
-{15419, 18, 33859, {1, 1, 5, 1, 11, 3, 111, 125, 287, 487, 1663, 1953, 3771, 2011, 18167, 47471, 94041, 87569}},
-{15420, 18, 33873, {1, 3, 1, 11, 5, 9, 75, 153, 37, 803, 971, 1667, 4631, 9183, 20179, 6905, 80949, 54443}},
-{15421, 18, 33874, {1, 1, 1, 5, 13, 29, 91, 201, 49, 739, 1569, 2725, 257, 5505, 5289, 40731, 27843, 16565}},
-{15422, 18, 33929, {1, 1, 7, 13, 27, 41, 81, 199, 99, 43, 1331, 3237, 6493, 3839, 19329, 44371, 19715, 60553}},
-{15423, 18, 33944, {1, 1, 5, 7, 29, 41, 67, 163, 467, 93, 1977, 2625, 6967, 6655, 19835, 39517, 10259, 200487}},
-{15424, 18, 33965, {1, 1, 3, 15, 23, 35, 31, 171, 175, 883, 593, 245, 6209, 7381, 5555, 54507, 66159, 40771}},
-{15425, 18, 33978, {1, 3, 3, 11, 3, 63, 75, 177, 239, 77, 1543, 875, 7951, 7571, 961, 9909, 101781, 160399}},
-{15426, 18, 33986, {1, 3, 1, 3, 3, 37, 71, 231, 373, 443, 835, 1321, 2107, 2929, 7527, 47969, 15329, 94537}},
-{15427, 18, 34006, {1, 3, 3, 15, 7, 5, 127, 121, 159, 25, 399, 3009, 4401, 9649, 4311, 18045, 22557, 135177}},
-{15428, 18, 34025, {1, 1, 1, 3, 29, 57, 75, 73, 261, 493, 1417, 1351, 3407, 8553, 4893, 10325, 123149, 161435}},
-{15429, 18, 34106, {1, 3, 3, 11, 15, 5, 87, 115, 337, 213, 949, 1925, 5057, 5831, 6837, 51167, 25291, 182197}},
-{15430, 18, 34126, {1, 3, 1, 11, 25, 49, 27, 101, 403, 989, 1129, 3933, 1147, 13091, 11965, 38075, 68251, 103293}},
-{15431, 18, 34171, {1, 1, 7, 5, 7, 49, 1, 189, 275, 63, 149, 3255, 1175, 7811, 24845, 20755, 99391, 140673}},
-{15432, 18, 34189, {1, 3, 1, 13, 17, 35, 37, 37, 415, 125, 643, 443, 6215, 299, 31237, 45687, 78535, 102123}},
-{15433, 18, 34204, {1, 3, 5, 3, 27, 41, 85, 215, 47, 21, 725, 1967, 2317, 121, 7827, 48229, 82027, 60271}},
-{15434, 18, 34260, {1, 3, 5, 1, 1, 55, 37, 183, 117, 421, 383, 3883, 5519, 6161, 6823, 18423, 77747, 215969}},
-{15435, 18, 34270, {1, 3, 5, 13, 31, 3, 117, 59, 375, 797, 1129, 1283, 3245, 12775, 30353, 3837, 130273, 228899}},
-{15436, 18, 34280, {1, 3, 5, 1, 7, 33, 17, 153, 179, 255, 537, 2911, 1223, 367, 18131, 25903, 33509, 220031}},
-{15437, 18, 34298, {1, 3, 7, 5, 5, 7, 103, 233, 309, 947, 1835, 3509, 4267, 15619, 5895, 30707, 81841, 191899}},
-{15438, 18, 34313, {1, 1, 5, 11, 3, 15, 91, 83, 319, 765, 895, 2565, 6833, 1719, 2971, 37483, 21709, 23193}},
-{15439, 18, 34321, {1, 1, 3, 11, 31, 57, 83, 233, 439, 161, 1503, 749, 6347, 15379, 2317, 24671, 93399, 239585}},
-{15440, 18, 34333, {1, 1, 3, 9, 29, 45, 19, 107, 295, 153, 189, 2521, 5465, 7321, 6143, 229, 100553, 258911}},
-{15441, 18, 34370, {1, 3, 7, 11, 31, 27, 95, 21, 249, 981, 1725, 1481, 1025, 9301, 11809, 53109, 29007, 127683}},
-{15442, 18, 34376, {1, 3, 1, 3, 1, 23, 97, 137, 5, 471, 1887, 1035, 2681, 5143, 3145, 1517, 88107, 245245}},
-{15443, 18, 34387, {1, 1, 1, 1, 15, 11, 13, 9, 405, 607, 403, 1693, 4363, 9365, 6425, 48121, 78969, 87341}},
-{15444, 18, 34389, {1, 1, 7, 15, 3, 17, 7, 51, 111, 1023, 9, 465, 1909, 16283, 4763, 50939, 119029, 198257}},
-{15445, 18, 34417, {1, 3, 3, 1, 31, 11, 113, 13, 499, 433, 1941, 991, 5439, 3123, 24591, 16171, 55099, 206015}},
-{15446, 18, 34429, {1, 3, 5, 15, 25, 49, 125, 101, 251, 619, 1895, 4063, 3065, 14965, 20081, 11233, 58253, 69633}},
-{15447, 18, 34440, {1, 1, 1, 5, 21, 35, 29, 241, 359, 553, 1001, 1865, 5183, 5233, 16371, 55277, 102091, 143275}},
-{15448, 18, 34443, {1, 1, 1, 3, 29, 37, 3, 191, 239, 961, 2031, 1337, 1169, 5229, 22861, 38257, 55027, 153703}},
-{15449, 18, 34451, {1, 3, 5, 7, 7, 35, 49, 139, 509, 381, 1267, 2641, 747, 16239, 23133, 32111, 70471, 128427}},
-{15450, 18, 34470, {1, 1, 1, 9, 23, 25, 117, 125, 369, 891, 103, 2215, 3571, 1291, 9001, 35671, 67119, 198847}},
-{15451, 18, 34484, {1, 1, 5, 9, 17, 19, 27, 7, 207, 55, 1099, 2117, 7511, 14999, 7761, 32215, 103401, 68599}},
-{15452, 18, 34493, {1, 1, 7, 9, 1, 59, 41, 91, 9, 225, 457, 3241, 4713, 2923, 11973, 2867, 130583, 202007}},
-{15453, 18, 34496, {1, 3, 1, 9, 31, 47, 63, 49, 457, 757, 885, 937, 2973, 12147, 2607, 52907, 126047, 83275}},
-{15454, 18, 34514, {1, 3, 5, 11, 17, 1, 79, 123, 505, 203, 1779, 71, 4357, 2285, 31625, 15225, 86519, 2021}},
-{15455, 18, 34526, {1, 3, 1, 11, 21, 17, 41, 169, 125, 995, 351, 1235, 25, 7463, 2099, 18917, 71355, 26983}},
-{15456, 18, 34535, {1, 1, 7, 1, 21, 23, 41, 5, 415, 405, 1235, 1245, 151, 11283, 25293, 45147, 12597, 39501}},
-{15457, 18, 34585, {1, 1, 1, 5, 29, 29, 15, 165, 259, 179, 1479, 3535, 779, 6583, 885, 34331, 71193, 154417}},
-{15458, 18, 34591, {1, 1, 1, 5, 3, 1, 13, 181, 507, 339, 333, 4059, 7963, 15649, 15507, 16913, 34741, 202039}},
-{15459, 18, 34592, {1, 3, 7, 1, 1, 9, 17, 119, 77, 583, 259, 883, 4011, 4275, 9599, 58663, 73237, 202783}},
-{15460, 18, 34602, {1, 1, 5, 11, 23, 27, 19, 171, 373, 779, 661, 1701, 3363, 13095, 897, 51233, 1319, 41093}},
-{15461, 18, 34607, {1, 3, 3, 3, 29, 21, 105, 29, 429, 657, 1735, 1279, 809, 14963, 9735, 23251, 44879, 159371}},
-{15462, 18, 34644, {1, 1, 5, 11, 17, 27, 117, 65, 193, 539, 1095, 439, 1687, 11277, 513, 30611, 88885, 69145}},
-{15463, 18, 34657, {1, 3, 1, 7, 11, 1, 27, 41, 63, 501, 917, 2397, 6839, 10835, 26437, 56169, 46631, 64095}},
-{15464, 18, 34675, {1, 1, 7, 15, 29, 5, 17, 217, 333, 389, 403, 3167, 3599, 12055, 30669, 44821, 109811, 237393}},
-{15465, 18, 34681, {1, 3, 5, 13, 1, 39, 51, 233, 159, 135, 763, 2499, 7741, 13099, 8639, 8043, 39827, 5989}},
-{15466, 18, 34693, {1, 1, 7, 3, 1, 61, 41, 37, 37, 67, 867, 2631, 6265, 5551, 161, 56643, 126087, 126829}},
-{15467, 18, 34706, {1, 1, 7, 1, 21, 39, 101, 225, 489, 123, 661, 2489, 1865, 6809, 21663, 59405, 45579, 51257}},
-{15468, 18, 34745, {1, 3, 7, 9, 27, 53, 11, 97, 369, 389, 1933, 3321, 543, 12331, 11571, 10685, 49049, 244027}},
-{15469, 18, 34759, {1, 3, 5, 3, 7, 15, 21, 165, 181, 877, 1161, 1815, 2097, 449, 32411, 22843, 12467, 55397}},
-{15470, 18, 34765, {1, 3, 1, 3, 11, 45, 23, 193, 287, 137, 333, 1831, 457, 583, 23081, 4525, 4781, 249509}},
-{15471, 18, 34774, {1, 3, 5, 5, 15, 13, 27, 199, 267, 297, 923, 3861, 4949, 7945, 25291, 45407, 47529, 127287}},
-{15472, 18, 34780, {1, 1, 5, 7, 19, 29, 113, 51, 503, 487, 699, 2097, 2957, 6519, 19487, 46873, 38871, 89997}},
-{15473, 18, 34794, {1, 1, 5, 13, 17, 31, 57, 127, 335, 223, 1545, 3749, 1539, 3293, 21159, 13019, 48343, 190895}},
-{15474, 18, 34807, {1, 1, 7, 9, 25, 19, 75, 41, 511, 269, 819, 3313, 6805, 15051, 4349, 1809, 34841, 190641}},
-{15475, 18, 34808, {1, 3, 5, 9, 27, 7, 91, 187, 123, 519, 477, 2719, 211, 1225, 22689, 37043, 66291, 205441}},
-{15476, 18, 34835, {1, 1, 5, 13, 5, 41, 95, 49, 187, 239, 1213, 2363, 8075, 12423, 6361, 42471, 70047, 188063}},
-{15477, 18, 34842, {1, 3, 7, 3, 27, 23, 21, 217, 65, 143, 1171, 1441, 1603, 2235, 20923, 32611, 111903, 132771}},
-{15478, 18, 34865, {1, 1, 7, 9, 3, 29, 33, 203, 497, 179, 1253, 2083, 7407, 12551, 8371, 62167, 93875, 193017}},
-{15479, 18, 34907, {1, 1, 1, 13, 7, 61, 43, 107, 417, 757, 1701, 3187, 5489, 11359, 20469, 20249, 93581, 207969}},
-{15480, 18, 34928, {1, 1, 7, 3, 31, 51, 51, 183, 483, 885, 1627, 3605, 6687, 1271, 27013, 40409, 103807, 189805}},
-{15481, 18, 34949, {1, 1, 3, 1, 21, 21, 107, 185, 267, 981, 147, 1873, 1085, 15829, 10315, 21673, 7713, 120087}},
-{15482, 18, 34961, {1, 1, 5, 3, 7, 27, 73, 131, 287, 657, 1351, 547, 3655, 2433, 6753, 2465, 110299, 194587}},
-{15483, 18, 34964, {1, 1, 7, 7, 17, 55, 29, 223, 411, 775, 745, 3515, 4573, 4289, 7411, 55999, 22021, 110567}},
-{15484, 18, 34987, {1, 3, 1, 3, 29, 55, 7, 183, 507, 773, 1299, 3653, 7693, 3773, 29549, 4171, 123039, 137495}},
-{15485, 18, 34990, {1, 1, 1, 7, 5, 25, 53, 85, 41, 837, 587, 2997, 7281, 6821, 15609, 47855, 49017, 108557}},
-{15486, 18, 35019, {1, 1, 5, 5, 1, 17, 109, 231, 295, 825, 1909, 683, 2197, 1895, 8641, 37917, 36347, 38683}},
-{15487, 18, 35069, {1, 3, 7, 3, 23, 39, 91, 121, 223, 505, 127, 3439, 7779, 12917, 17351, 33063, 84019, 40077}},
-{15488, 18, 35077, {1, 3, 3, 1, 19, 1, 125, 99, 143, 549, 709, 3605, 2377, 761, 14369, 52191, 80811, 214877}},
-{15489, 18, 35090, {1, 1, 7, 9, 13, 57, 39, 91, 505, 299, 1241, 1697, 5821, 5327, 22439, 42321, 120941, 40009}},
-{15490, 18, 35152, {1, 1, 3, 13, 15, 59, 15, 129, 265, 841, 1255, 1915, 4645, 5991, 26801, 7839, 66961, 59045}},
-{15491, 18, 35173, {1, 3, 7, 15, 17, 57, 61, 173, 391, 1001, 1815, 2565, 1445, 13237, 2273, 61683, 62327, 180255}},
-{15492, 18, 35174, {1, 1, 3, 3, 23, 29, 115, 185, 333, 103, 1807, 3271, 4803, 9743, 3031, 25263, 30761, 1899}},
-{15493, 18, 35202, {1, 1, 1, 7, 1, 13, 63, 113, 467, 17, 1803, 3141, 7069, 8895, 25823, 40347, 11211, 88769}},
-{15494, 18, 35214, {1, 3, 5, 1, 3, 3, 29, 101, 315, 915, 341, 287, 4167, 7579, 19797, 18287, 19079, 52805}},
-{15495, 18, 35219, {1, 3, 7, 15, 31, 61, 27, 153, 387, 273, 343, 881, 2273, 6621, 19391, 41735, 123899, 117851}},
-{15496, 18, 35226, {1, 1, 7, 11, 5, 49, 83, 223, 87, 341, 1023, 2785, 3635, 2651, 5179, 25907, 115249, 74001}},
-{15497, 18, 35235, {1, 3, 3, 7, 31, 37, 123, 79, 365, 455, 639, 691, 2659, 12215, 26785, 48785, 120175, 155501}},
-{15498, 18, 35255, {1, 3, 3, 11, 19, 49, 81, 97, 429, 317, 257, 663, 5009, 2855, 22721, 51553, 32511, 188977}},
-{15499, 18, 35310, {1, 1, 7, 11, 5, 37, 1, 123, 477, 747, 839, 3975, 6347, 489, 31387, 56037, 62935, 177587}},
-{15500, 18, 35318, {1, 1, 1, 1, 29, 7, 119, 233, 255, 25, 127, 1377, 991, 12151, 31259, 64863, 34733, 86101}},
-{15501, 18, 35321, {1, 3, 7, 5, 19, 57, 67, 1, 81, 719, 891, 2485, 3817, 1055, 437, 9779, 23823, 173219}},
-{15502, 18, 35333, {1, 1, 1, 5, 1, 63, 87, 163, 135, 809, 637, 1233, 5245, 481, 11011, 23477, 114963, 96051}},
-{15503, 18, 35337, {1, 1, 7, 5, 25, 39, 57, 129, 311, 525, 1555, 179, 639, 4949, 8809, 31215, 95975, 79407}},
-{15504, 18, 35346, {1, 3, 1, 1, 15, 59, 77, 87, 479, 889, 1619, 331, 4781, 10597, 935, 28105, 83861, 134273}},
-{15505, 18, 35373, {1, 3, 5, 15, 21, 55, 61, 105, 373, 185, 1579, 3487, 2621, 8993, 6443, 31709, 57329, 128165}},
-{15506, 18, 35414, {1, 3, 3, 3, 7, 21, 117, 159, 177, 927, 1873, 1865, 3219, 1693, 1173, 34365, 107053, 113949}},
-{15507, 18, 35478, {1, 3, 7, 1, 17, 37, 35, 101, 305, 141, 1681, 1949, 47, 11351, 989, 13887, 127429, 13059}},
-{15508, 18, 35497, {1, 1, 3, 7, 13, 41, 125, 115, 65, 621, 1401, 631, 5875, 8589, 17185, 22757, 83625, 92907}},
-{15509, 18, 35503, {1, 3, 1, 5, 25, 37, 73, 39, 495, 645, 265, 2685, 5875, 5919, 23223, 44593, 26207, 49921}},
-{15510, 18, 35512, {1, 3, 1, 13, 25, 31, 39, 15, 179, 791, 1817, 3617, 2139, 1827, 21215, 21767, 15009, 239443}},
-{15511, 18, 35515, {1, 1, 3, 7, 17, 9, 33, 121, 235, 535, 1537, 3307, 2881, 4351, 4721, 34131, 129619, 137993}},
-{15512, 18, 35526, {1, 1, 3, 1, 3, 51, 79, 213, 205, 323, 1749, 2563, 2013, 6519, 18923, 25937, 74445, 252283}},
-{15513, 18, 35577, {1, 3, 5, 11, 3, 53, 17, 195, 305, 543, 1937, 2997, 4593, 7801, 15307, 46359, 39365, 59537}},
-{15514, 18, 35585, {1, 1, 1, 13, 31, 53, 111, 163, 139, 163, 999, 83, 5125, 10047, 11143, 51407, 13627, 3621}},
-{15515, 18, 35592, {1, 1, 3, 9, 5, 1, 125, 95, 281, 939, 913, 1441, 1209, 12983, 27759, 22393, 75985, 178997}},
-{15516, 18, 35615, {1, 3, 5, 3, 5, 27, 91, 41, 51, 447, 491, 3405, 497, 2873, 17865, 30651, 104197, 71751}},
-{15517, 18, 35616, {1, 3, 7, 1, 29, 61, 73, 31, 423, 933, 1327, 809, 1461, 269, 15121, 18649, 36095, 139429}},
-{15518, 18, 35622, {1, 1, 7, 7, 19, 49, 51, 173, 297, 411, 1255, 1093, 2821, 6743, 1927, 27563, 68459, 261411}},
-{15519, 18, 35634, {1, 3, 5, 1, 5, 33, 27, 119, 103, 615, 149, 2299, 6801, 15615, 7361, 31045, 87719, 9557}},
-{15520, 18, 35657, {1, 1, 3, 9, 17, 23, 89, 35, 151, 385, 319, 2065, 1897, 1987, 15159, 34855, 5395, 110751}},
-{15521, 18, 35672, {1, 3, 1, 13, 7, 47, 19, 185, 207, 787, 1179, 1073, 1463, 6277, 6129, 25031, 91969, 123235}},
-{15522, 18, 35708, {1, 1, 7, 3, 19, 63, 97, 1, 381, 71, 1169, 339, 6585, 3629, 31357, 59451, 102735, 253667}},
-{15523, 18, 35772, {1, 3, 3, 13, 9, 27, 69, 17, 509, 599, 1247, 2267, 3309, 1905, 17995, 41263, 5947, 51607}},
-{15524, 18, 35790, {1, 3, 1, 9, 31, 45, 69, 243, 171, 555, 61, 1135, 1993, 8615, 18363, 19545, 64015, 81391}},
-{15525, 18, 35804, {1, 1, 1, 1, 19, 49, 31, 65, 53, 123, 271, 3007, 4509, 9465, 3855, 12673, 19457, 14677}},
-{15526, 18, 35811, {1, 3, 5, 13, 29, 53, 91, 145, 115, 53, 839, 1911, 2887, 6053, 18437, 42273, 63093, 70937}},
-{15527, 18, 35814, {1, 1, 5, 5, 27, 13, 87, 175, 485, 699, 463, 811, 4991, 15303, 23007, 10021, 59125, 39997}},
-{15528, 18, 35837, {1, 1, 5, 5, 27, 21, 89, 61, 109, 555, 953, 2811, 3015, 3249, 16085, 64413, 84605, 177333}},
-{15529, 18, 35846, {1, 1, 7, 3, 1, 29, 83, 143, 67, 577, 971, 2339, 6521, 6341, 27141, 37149, 99813, 37579}},
-{15530, 18, 35873, {1, 3, 3, 7, 23, 29, 117, 5, 287, 559, 667, 2349, 7481, 679, 9633, 40857, 89841, 98125}},
-{15531, 18, 35883, {1, 1, 1, 3, 31, 31, 83, 117, 213, 213, 23, 3803, 5967, 7759, 19521, 13229, 62231, 150687}},
-{15532, 18, 35918, {1, 3, 7, 9, 1, 15, 37, 191, 19, 107, 1723, 3517, 3477, 3777, 4359, 45815, 58661, 33217}},
-{15533, 18, 35920, {1, 1, 5, 1, 17, 3, 3, 255, 501, 1021, 1731, 481, 6145, 3475, 3417, 11847, 92203, 75109}},
-{15534, 18, 35925, {1, 1, 5, 1, 1, 61, 89, 107, 503, 627, 931, 1355, 2067, 12487, 20665, 61543, 15501, 103843}},
-{15535, 18, 35926, {1, 1, 5, 9, 25, 17, 7, 255, 251, 939, 851, 2241, 939, 15331, 29357, 2485, 80791, 152601}},
-{15536, 18, 35945, {1, 1, 5, 3, 13, 25, 35, 113, 83, 765, 1317, 1409, 369, 2215, 5659, 3581, 13925, 108673}},
-{15537, 18, 35956, {1, 1, 1, 1, 13, 13, 83, 27, 5, 563, 723, 2733, 3155, 6567, 24595, 45569, 37587, 144401}},
-{15538, 18, 36003, {1, 1, 1, 9, 31, 51, 73, 105, 299, 857, 669, 963, 4115, 14939, 11669, 46215, 92707, 149249}},
-{15539, 18, 36023, {1, 1, 3, 5, 7, 41, 105, 213, 3, 999, 93, 1497, 6783, 1559, 20047, 40761, 88219, 64769}},
-{15540, 18, 36024, {1, 3, 1, 5, 13, 17, 79, 29, 453, 75, 1095, 623, 7401, 4225, 30467, 60795, 130045, 154767}},
-{15541, 18, 36059, {1, 1, 5, 3, 31, 59, 33, 129, 505, 277, 1623, 3531, 6841, 12903, 7231, 5801, 92405, 260195}},
-{15542, 18, 36061, {1, 1, 3, 5, 27, 23, 63, 219, 225, 547, 1163, 1899, 4191, 9725, 30077, 30157, 73395, 38195}},
-{15543, 18, 36072, {1, 1, 1, 11, 17, 27, 63, 127, 95, 205, 1753, 2023, 6803, 4355, 28169, 16691, 25105, 8969}},
-{15544, 18, 36075, {1, 1, 5, 3, 23, 23, 89, 115, 231, 647, 513, 3161, 3175, 5061, 5797, 35387, 109827, 19511}},
-{15545, 18, 36103, {1, 3, 5, 5, 11, 9, 39, 251, 367, 253, 2031, 3909, 1057, 12545, 25397, 51571, 91229, 83721}},
-{15546, 18, 36110, {1, 3, 5, 7, 5, 35, 57, 153, 111, 789, 177, 2237, 1333, 13185, 993, 22099, 62113, 211815}},
-{15547, 18, 36131, {1, 1, 5, 15, 19, 37, 123, 221, 375, 605, 791, 1663, 7537, 7193, 20149, 58077, 113129, 185493}},
-{15548, 18, 36151, {1, 1, 1, 1, 1, 53, 117, 227, 441, 851, 1171, 4031, 2313, 2847, 25533, 31767, 18197, 153101}},
-{15549, 18, 36160, {1, 1, 3, 3, 13, 9, 65, 225, 71, 763, 1507, 3795, 4321, 399, 12515, 4527, 89193, 236161}},
-{15550, 18, 36199, {1, 1, 3, 11, 21, 63, 73, 125, 369, 309, 953, 3525, 3925, 13609, 26061, 21739, 112867, 112985}},
-{15551, 18, 36223, {1, 1, 7, 1, 27, 25, 3, 129, 321, 193, 1871, 233, 837, 11163, 14861, 42721, 72849, 206739}},
-{15552, 18, 36227, {1, 3, 7, 3, 5, 51, 43, 177, 167, 11, 1297, 1805, 515, 6485, 8253, 271, 47435, 252291}},
-{15553, 18, 36234, {1, 3, 3, 3, 19, 47, 47, 47, 299, 101, 1535, 3593, 4669, 10367, 19219, 16579, 85269, 36115}},
-{15554, 18, 36236, {1, 1, 7, 15, 7, 51, 53, 181, 379, 267, 985, 3401, 2189, 10197, 14183, 413, 76797, 24751}},
-{15555, 18, 36284, {1, 1, 5, 7, 13, 27, 65, 119, 235, 131, 1921, 3411, 1511, 11221, 30315, 11799, 127563, 203533}},
-{15556, 18, 36319, {1, 3, 1, 3, 13, 55, 101, 189, 483, 261, 467, 645, 417, 6203, 9221, 19671, 102331, 259335}},
-{15557, 18, 36332, {1, 1, 5, 15, 19, 7, 81, 1, 371, 119, 1433, 1211, 303, 14393, 27107, 45295, 109211, 224661}},
-{15558, 18, 36343, {1, 3, 7, 9, 19, 53, 31, 55, 103, 351, 1511, 377, 981, 6709, 19553, 53579, 55043, 170489}},
-{15559, 18, 36373, {1, 3, 3, 15, 31, 49, 1, 251, 187, 73, 119, 3041, 5455, 5355, 22245, 7735, 14661, 258447}},
-{15560, 18, 36401, {1, 3, 7, 11, 13, 1, 61, 97, 179, 975, 1653, 3301, 4303, 2271, 30171, 63287, 51271, 21909}},
-{15561, 18, 36413, {1, 1, 5, 11, 21, 45, 101, 131, 121, 881, 1205, 1849, 4337, 5687, 31967, 22559, 98017, 202557}},
-{15562, 18, 36433, {1, 3, 3, 7, 1, 49, 11, 35, 141, 309, 651, 3319, 4313, 3675, 27699, 49429, 109805, 167089}},
-{15563, 18, 36459, {1, 1, 3, 13, 13, 15, 61, 251, 335, 365, 677, 2183, 6291, 8857, 15231, 551, 63149, 76729}},
-{15564, 18, 36480, {1, 3, 3, 13, 1, 59, 85, 127, 409, 1007, 1947, 3495, 6227, 11447, 14329, 3769, 109619, 59063}},
-{15565, 18, 36485, {1, 3, 5, 11, 11, 59, 67, 209, 491, 757, 1137, 1977, 3155, 9339, 11219, 20303, 66417, 187911}},
-{15566, 18, 36510, {1, 1, 5, 9, 27, 51, 87, 249, 327, 867, 29, 3811, 4769, 12353, 24803, 35747, 84101, 210975}},
-{15567, 18, 36513, {1, 3, 7, 7, 23, 37, 23, 55, 237, 543, 779, 1305, 1535, 13333, 1403, 10903, 113135, 195799}},
-{15568, 18, 36523, {1, 1, 3, 11, 1, 1, 3, 153, 401, 35, 981, 79, 4227, 9203, 8179, 29325, 104809, 140613}},
-{15569, 18, 36528, {1, 3, 5, 9, 13, 39, 101, 181, 507, 307, 1411, 1443, 6855, 8747, 22709, 37869, 102303, 577}},
-{15570, 18, 36537, {1, 3, 5, 1, 25, 41, 3, 239, 195, 1, 1277, 2085, 4253, 14683, 24171, 56733, 82795, 213291}},
-{15571, 18, 36558, {1, 1, 3, 5, 25, 55, 31, 55, 215, 149, 1813, 3775, 779, 6137, 10561, 41671, 96883, 177435}},
-{15572, 18, 36563, {1, 1, 5, 11, 15, 5, 1, 237, 131, 13, 229, 3203, 2431, 1829, 31983, 59535, 31381, 175455}},
-{15573, 18, 36576, {1, 3, 3, 7, 5, 19, 61, 253, 223, 609, 1395, 2495, 5501, 6571, 12989, 889, 49435, 200251}},
-{15574, 18, 36608, {1, 1, 7, 13, 25, 49, 33, 157, 457, 259, 1935, 2249, 7419, 12685, 30509, 32187, 108839, 178963}},
-{15575, 18, 36611, {1, 3, 3, 15, 19, 27, 91, 133, 369, 931, 359, 759, 2647, 13643, 14877, 14031, 115367, 201745}},
-{15576, 18, 36617, {1, 1, 5, 3, 9, 23, 87, 27, 203, 995, 1759, 999, 949, 2733, 29053, 46581, 129003, 42585}},
-{15577, 18, 36653, {1, 1, 3, 1, 1, 21, 63, 243, 257, 741, 681, 2471, 2455, 15145, 31739, 8751, 15963, 165405}},
-{15578, 18, 36716, {1, 3, 3, 1, 25, 21, 69, 213, 219, 9, 199, 487, 4103, 141, 18177, 58797, 60415, 6313}},
-{15579, 18, 36721, {1, 3, 1, 5, 23, 43, 61, 121, 123, 89, 283, 1313, 2707, 10199, 7699, 17437, 130995, 140327}},
-{15580, 18, 36733, {1, 3, 5, 13, 31, 41, 111, 39, 403, 5, 1125, 2867, 3143, 7051, 9891, 43349, 20751, 88465}},
-{15581, 18, 36761, {1, 1, 3, 1, 19, 53, 83, 207, 285, 789, 1515, 3455, 4057, 15777, 27879, 46971, 122661, 143407}},
-{15582, 18, 36783, {1, 3, 3, 11, 25, 21, 127, 191, 313, 357, 1625, 1323, 1151, 12509, 22275, 23517, 12221, 258709}},
-{15583, 18, 36786, {1, 1, 5, 7, 1, 47, 1, 107, 387, 965, 1319, 2911, 2121, 8595, 9, 21587, 81187, 2803}},
-{15584, 18, 36795, {1, 3, 3, 5, 19, 55, 37, 213, 23, 767, 1493, 635, 4289, 2503, 16835, 47851, 77335, 60565}},
-{15585, 18, 36800, {1, 1, 1, 7, 23, 9, 101, 145, 457, 691, 1895, 2145, 7527, 7687, 20781, 10957, 24859, 79137}},
-{15586, 18, 36810, {1, 3, 7, 15, 9, 9, 15, 195, 493, 859, 687, 1445, 429, 8599, 24591, 40709, 118361, 148163}},
-{15587, 18, 36812, {1, 1, 1, 3, 7, 51, 45, 143, 339, 475, 1177, 2829, 785, 10141, 4923, 29135, 22603, 119973}},
-{15588, 18, 36817, {1, 3, 5, 15, 25, 37, 1, 13, 351, 127, 143, 2637, 1215, 14577, 12465, 10575, 67997, 21877}},
-{15589, 18, 36818, {1, 3, 7, 3, 27, 19, 59, 241, 327, 307, 731, 3471, 6123, 13607, 8793, 14825, 110681, 83259}},
-{15590, 18, 36851, {1, 1, 1, 11, 25, 5, 59, 85, 335, 189, 499, 1305, 5801, 7259, 2397, 14045, 55585, 258579}},
-{15591, 18, 36853, {1, 1, 3, 5, 21, 49, 49, 63, 261, 657, 1453, 55, 1325, 15513, 14891, 60689, 15381, 252641}},
-{15592, 18, 36868, {1, 1, 7, 15, 25, 3, 85, 33, 495, 867, 903, 1813, 2871, 365, 17399, 45695, 102851, 225873}},
-{15593, 18, 36889, {1, 1, 1, 13, 13, 63, 29, 35, 325, 893, 1313, 133, 8169, 7791, 9271, 36759, 92275, 169717}},
-{15594, 18, 36890, {1, 1, 7, 3, 21, 45, 7, 151, 387, 891, 1921, 1701, 307, 5323, 16321, 51229, 79369, 21513}},
-{15595, 18, 36896, {1, 1, 1, 11, 7, 27, 17, 75, 161, 649, 337, 1731, 2905, 4589, 17387, 10455, 70673, 228373}},
-{15596, 18, 36905, {1, 1, 3, 15, 17, 35, 45, 131, 469, 629, 1771, 1965, 5065, 6249, 29041, 52791, 55619, 154531}},
-{15597, 18, 36919, {1, 1, 7, 3, 25, 53, 85, 233, 161, 163, 1155, 3159, 1551, 13099, 25647, 26777, 91647, 162755}},
-{15598, 18, 36938, {1, 1, 3, 9, 17, 11, 39, 63, 503, 927, 1621, 3425, 4835, 7083, 16449, 47913, 127905, 165567}},
-{15599, 18, 36946, {1, 1, 7, 1, 29, 9, 1, 111, 285, 1009, 1427, 3071, 205, 12269, 31337, 14501, 10923, 14277}},
-{15600, 18, 36951, {1, 1, 5, 5, 1, 3, 51, 205, 477, 661, 1555, 2113, 6487, 4755, 13633, 16391, 35775, 52623}},
-{15601, 18, 36952, {1, 3, 3, 3, 27, 23, 109, 49, 71, 19, 733, 1361, 4369, 14527, 20443, 10507, 120183, 246115}},
-{15602, 18, 36964, {1, 3, 3, 5, 7, 47, 51, 197, 97, 471, 1631, 3317, 5857, 9405, 30359, 7741, 45079, 175929}},
-{15603, 18, 36968, {1, 1, 3, 3, 13, 63, 39, 173, 511, 525, 1687, 1735, 6877, 7383, 27971, 26503, 6189, 232251}},
-{15604, 18, 36979, {1, 1, 5, 3, 5, 31, 101, 99, 51, 987, 1627, 3899, 6321, 9441, 4983, 64001, 30923, 199495}},
-{15605, 18, 36981, {1, 3, 1, 1, 11, 39, 119, 123, 33, 1017, 1477, 283, 4939, 453, 16445, 25599, 106857, 257811}},
-{15606, 18, 37021, {1, 3, 1, 11, 13, 1, 3, 101, 275, 75, 1795, 1449, 2503, 11765, 19299, 14237, 157, 244825}},
-{15607, 18, 37026, {1, 3, 7, 15, 23, 1, 85, 65, 55, 103, 1523, 1443, 1021, 5733, 3297, 10889, 22487, 82503}},
-{15608, 18, 37075, {1, 1, 7, 3, 17, 59, 109, 113, 17, 173, 1709, 273, 5327, 3243, 10751, 58361, 42303, 78391}},
-{15609, 18, 37077, {1, 1, 5, 15, 25, 11, 101, 133, 193, 131, 1671, 3045, 7111, 14331, 15665, 56407, 31561, 154555}},
-{15610, 18, 37108, {1, 3, 3, 5, 15, 41, 105, 65, 81, 293, 389, 2653, 1883, 14741, 23553, 33349, 39665, 154233}},
-{15611, 18, 37112, {1, 1, 5, 15, 31, 19, 121, 41, 261, 511, 1679, 957, 1647, 12647, 12285, 30291, 122483, 187911}},
-{15612, 18, 37150, {1, 3, 1, 5, 27, 25, 17, 45, 303, 947, 1123, 2729, 281, 12389, 27987, 42667, 16089, 17129}},
-{15613, 18, 37154, {1, 3, 7, 15, 13, 17, 25, 223, 125, 837, 159, 253, 2599, 11381, 639, 32545, 50633, 139025}},
-{15614, 18, 37156, {1, 3, 1, 13, 23, 43, 25, 83, 507, 47, 99, 697, 4453, 2139, 17151, 50709, 37099, 212957}},
-{15615, 18, 37163, {1, 1, 7, 7, 29, 7, 63, 141, 475, 853, 1073, 143, 6979, 5663, 29691, 59489, 89689, 223047}},
-{15616, 18, 37178, {1, 1, 1, 1, 13, 27, 101, 61, 27, 735, 207, 2065, 5811, 5461, 21493, 15481, 103727, 80017}},
-{15617, 18, 37183, {1, 3, 1, 11, 9, 9, 35, 251, 147, 841, 1891, 1909, 5053, 5103, 11751, 16209, 110475, 114875}},
-{15618, 18, 37185, {1, 3, 3, 11, 13, 55, 117, 205, 71, 159, 1797, 989, 2221, 16087, 18287, 8355, 96403, 146613}},
-{15619, 18, 37191, {1, 1, 5, 5, 29, 25, 73, 63, 299, 839, 1225, 3583, 5641, 1341, 29431, 7035, 99107, 13493}},
-{15620, 18, 37198, {1, 1, 3, 5, 27, 53, 9, 51, 79, 701, 667, 1469, 4455, 13761, 18607, 39429, 7687, 201115}},
-{15621, 18, 37203, {1, 3, 7, 11, 23, 35, 101, 129, 491, 369, 565, 2557, 2529, 1003, 16003, 33873, 52155, 861}},
-{15622, 18, 37225, {1, 1, 1, 15, 27, 63, 1, 55, 331, 853, 899, 1027, 7389, 8935, 12559, 27315, 101753, 255331}},
-{15623, 18, 37243, {1, 3, 3, 15, 5, 41, 93, 39, 473, 887, 1667, 847, 7619, 8407, 6539, 31989, 63807, 21861}},
-{15624, 18, 37252, {1, 1, 5, 11, 27, 57, 73, 249, 331, 653, 21, 2937, 4403, 16195, 18785, 30375, 22939, 235291}},
-{15625, 18, 37262, {1, 1, 7, 1, 7, 41, 59, 161, 295, 503, 595, 3021, 455, 3991, 8617, 65361, 107239, 83205}},
-{15626, 18, 37264, {1, 3, 3, 15, 17, 41, 61, 229, 273, 687, 657, 1969, 2817, 2367, 29183, 41199, 24123, 184081}},
-{15627, 18, 37276, {1, 3, 7, 5, 25, 63, 43, 65, 443, 423, 549, 2031, 3353, 7041, 6563, 18819, 46047, 239823}},
-{15628, 18, 37327, {1, 3, 3, 3, 3, 17, 13, 115, 377, 623, 1959, 127, 5125, 13209, 24731, 23151, 21303, 7213}},
-{15629, 18, 37355, {1, 1, 7, 1, 21, 11, 21, 41, 491, 37, 1759, 2771, 1301, 12995, 17621, 30907, 75511, 82321}},
-{15630, 18, 37403, {1, 3, 3, 13, 13, 23, 77, 211, 215, 711, 427, 2213, 8041, 1595, 26105, 39051, 105407, 242141}},
-{15631, 18, 37415, {1, 3, 3, 9, 13, 35, 117, 207, 75, 395, 723, 3321, 6643, 2429, 10043, 10585, 3529, 64067}},
-{15632, 18, 37422, {1, 1, 1, 7, 3, 1, 83, 93, 311, 157, 891, 1717, 7669, 16067, 11775, 27693, 11757, 94471}},
-{15633, 18, 37448, {1, 3, 3, 5, 17, 63, 23, 177, 289, 921, 315, 3083, 5903, 8697, 22425, 37845, 31171, 49237}},
-{15634, 18, 37451, {1, 1, 7, 9, 21, 63, 29, 227, 427, 271, 525, 2071, 7103, 8389, 29185, 51601, 110737, 16949}},
-{15635, 18, 37478, {1, 3, 3, 3, 3, 49, 25, 173, 79, 343, 509, 1939, 6389, 15501, 20135, 54365, 69931, 135269}},
-{15636, 18, 37484, {1, 1, 3, 3, 21, 23, 41, 71, 169, 947, 1027, 2345, 3397, 12181, 15409, 31725, 41223, 58837}},
-{15637, 18, 37525, {1, 3, 7, 1, 19, 23, 57, 201, 27, 449, 1479, 921, 4703, 10949, 14369, 27929, 45399, 46055}},
-{15638, 18, 37553, {1, 1, 3, 9, 13, 17, 125, 17, 393, 295, 497, 3089, 6589, 4003, 8687, 48145, 2683, 175521}},
-{15639, 18, 37640, {1, 3, 3, 15, 15, 13, 3, 31, 51, 101, 973, 101, 3709, 13437, 51, 14293, 21561, 136497}},
-{15640, 18, 37645, {1, 1, 5, 11, 17, 27, 51, 45, 77, 539, 225, 2029, 533, 153, 26085, 33611, 28153, 75671}},
-{15641, 18, 37658, {1, 1, 1, 15, 3, 59, 59, 123, 475, 225, 1613, 3121, 2865, 4647, 14553, 35449, 121657, 37457}},
-{15642, 18, 37667, {1, 1, 5, 1, 27, 33, 121, 225, 57, 619, 1293, 3813, 2121, 3525, 21995, 47253, 33095, 257451}},
-{15643, 18, 37708, {1, 3, 1, 11, 11, 43, 115, 233, 335, 185, 989, 3567, 4135, 2357, 20559, 43325, 43015, 51695}},
-{15644, 18, 37723, {1, 1, 5, 9, 11, 49, 45, 187, 93, 967, 1609, 2511, 1549, 4045, 21309, 16341, 13495, 214827}},
-{15645, 18, 37732, {1, 1, 1, 13, 21, 23, 81, 7, 259, 483, 1059, 773, 5297, 10123, 9857, 61187, 47355, 76307}},
-{15646, 18, 37747, {1, 3, 7, 9, 29, 51, 113, 255, 223, 853, 1173, 1019, 1587, 9629, 22373, 32731, 125179, 193271}},
-{15647, 18, 37753, {1, 1, 5, 11, 3, 55, 25, 145, 347, 451, 1447, 3399, 5873, 11579, 11107, 64707, 10161, 142003}},
-{15648, 18, 37772, {1, 1, 1, 7, 15, 49, 109, 93, 267, 919, 177, 2247, 8129, 8039, 15629, 63767, 98153, 143255}},
-{15649, 18, 37789, {1, 1, 5, 3, 3, 27, 47, 151, 231, 35, 155, 2745, 7349, 6543, 14117, 19549, 54927, 10819}},
-{15650, 18, 37817, {1, 3, 7, 15, 31, 29, 17, 203, 249, 169, 1071, 3069, 6269, 3455, 27177, 33761, 111003, 4527}},
-{15651, 18, 37826, {1, 3, 1, 5, 31, 15, 65, 189, 3, 917, 857, 1221, 3553, 2883, 3631, 32971, 68057, 109081}},
-{15652, 18, 37831, {1, 3, 1, 9, 3, 55, 127, 57, 125, 463, 199, 317, 3373, 967, 5569, 55997, 17167, 33585}},
-{15653, 18, 37845, {1, 3, 5, 1, 9, 57, 15, 89, 335, 119, 1445, 1931, 4177, 2495, 27507, 8209, 60003, 29657}},
-{15654, 18, 37855, {1, 3, 5, 7, 15, 43, 83, 117, 283, 131, 653, 57, 6789, 7633, 30525, 64131, 101981, 122017}},
-{15655, 18, 37859, {1, 3, 7, 11, 3, 17, 115, 217, 391, 825, 1633, 885, 7787, 5595, 12235, 30233, 53587, 62985}},
-{15656, 18, 37866, {1, 1, 5, 3, 5, 13, 99, 1, 75, 329, 1247, 107, 2337, 4201, 6217, 12273, 41585, 46563}},
-{15657, 18, 37880, {1, 3, 1, 15, 25, 53, 33, 125, 311, 955, 161, 3631, 581, 11915, 4223, 63207, 16517, 201665}},
-{15658, 18, 37885, {1, 1, 5, 1, 27, 23, 93, 211, 483, 691, 949, 1825, 391, 12111, 13639, 61009, 88503, 104823}},
-{15659, 18, 37897, {1, 3, 1, 13, 3, 9, 51, 133, 259, 977, 697, 661, 7661, 3987, 8327, 50155, 112235, 236135}},
-{15660, 18, 37906, {1, 1, 3, 13, 7, 39, 121, 37, 151, 973, 1275, 2699, 3345, 7167, 19245, 55535, 12305, 33567}},
-{15661, 18, 37948, {1, 1, 1, 1, 27, 5, 91, 63, 409, 579, 459, 2335, 4721, 3305, 11293, 15405, 74513, 157863}},
-{15662, 18, 37954, {1, 1, 5, 1, 21, 45, 55, 111, 475, 381, 659, 1131, 3575, 5165, 27221, 46757, 53587, 90741}},
-{15663, 18, 37978, {1, 1, 5, 15, 11, 31, 121, 209, 69, 389, 779, 2833, 4519, 1801, 4363, 24723, 105849, 54475}},
-{15664, 18, 37980, {1, 1, 3, 9, 7, 19, 11, 75, 275, 77, 1997, 1661, 6139, 13165, 30653, 49469, 67053, 3811}},
-{15665, 18, 37990, {1, 1, 3, 9, 5, 11, 5, 151, 395, 715, 1381, 3011, 5939, 1805, 8063, 62877, 99749, 112951}},
-{15666, 18, 38001, {1, 1, 5, 13, 19, 15, 113, 47, 455, 173, 1897, 701, 6093, 2089, 3977, 20599, 60947, 23671}},
-{15667, 18, 38020, {1, 1, 1, 13, 23, 19, 13, 117, 275, 313, 1683, 2975, 179, 3949, 4361, 60211, 91999, 211219}},
-{15668, 18, 38029, {1, 3, 5, 15, 13, 53, 83, 161, 491, 1001, 1773, 1227, 1965, 14479, 17677, 24399, 86431, 203303}},
-{15669, 18, 38047, {1, 1, 7, 15, 5, 51, 103, 131, 351, 747, 1227, 2859, 6693, 10615, 29485, 6619, 106239, 148739}},
-{15670, 18, 38063, {1, 3, 5, 1, 9, 43, 91, 173, 223, 393, 1181, 3785, 6589, 1299, 10217, 20891, 64125, 63409}},
-{15671, 18, 38077, {1, 1, 5, 7, 11, 23, 45, 57, 397, 771, 511, 1849, 343, 14139, 26271, 56241, 52581, 163187}},
-{15672, 18, 38110, {1, 3, 7, 5, 15, 59, 89, 151, 255, 247, 291, 219, 995, 10821, 1445, 35581, 88767, 16871}},
-{15673, 18, 38116, {1, 1, 7, 11, 7, 25, 3, 175, 253, 193, 1641, 1669, 7095, 11871, 10801, 42567, 120663, 109347}},
-{15674, 18, 38119, {1, 3, 5, 7, 31, 41, 119, 39, 149, 653, 153, 2783, 1377, 5223, 17915, 3127, 41869, 193477}},
-{15675, 18, 38176, {1, 3, 3, 13, 23, 19, 47, 85, 487, 103, 237, 2363, 4451, 5077, 23749, 17011, 73561, 169165}},
-{15676, 18, 38186, {1, 1, 3, 9, 21, 25, 77, 235, 53, 681, 1463, 2093, 1525, 12797, 5469, 54277, 15587, 68395}},
-{15677, 18, 38194, {1, 1, 1, 15, 23, 63, 63, 225, 239, 143, 1073, 199, 3231, 1371, 11215, 5999, 100705, 174681}},
-{15678, 18, 38218, {1, 1, 1, 3, 17, 25, 69, 179, 445, 695, 281, 379, 8115, 9443, 13221, 50669, 37369, 62151}},
-{15679, 18, 38241, {1, 3, 3, 9, 11, 29, 21, 89, 441, 353, 401, 1139, 5003, 8087, 24457, 50237, 110993, 117233}},
-{15680, 18, 38247, {1, 3, 3, 1, 13, 45, 31, 249, 295, 149, 591, 2071, 3611, 931, 16261, 8239, 82767, 195665}},
-{15681, 18, 38261, {1, 3, 3, 9, 19, 47, 69, 177, 493, 231, 431, 1359, 6867, 7641, 15661, 25285, 65477, 212643}},
-{15682, 18, 38268, {1, 3, 3, 13, 19, 63, 83, 153, 367, 407, 547, 661, 7743, 5473, 2993, 62937, 33811, 101313}},
-{15683, 18, 38277, {1, 3, 5, 3, 29, 17, 19, 203, 79, 279, 1333, 1851, 51, 9793, 12955, 17383, 73437, 121743}},
-{15684, 18, 38287, {1, 1, 1, 11, 11, 43, 31, 187, 463, 827, 1511, 225, 845, 8963, 1553, 61269, 122033, 245633}},
-{15685, 18, 38295, {1, 1, 3, 3, 31, 23, 9, 241, 377, 317, 655, 2197, 2461, 13239, 15649, 7879, 55085, 129855}},
-{15686, 18, 38299, {1, 3, 5, 7, 9, 37, 1, 191, 185, 145, 1567, 3423, 1127, 1991, 10741, 38407, 22915, 222845}},
-{15687, 18, 38301, {1, 1, 5, 3, 27, 31, 11, 227, 307, 973, 745, 1079, 7479, 10065, 31389, 19195, 114775, 246615}},
-{15688, 18, 38305, {1, 3, 1, 11, 29, 27, 11, 83, 205, 399, 1489, 739, 715, 7955, 16473, 21127, 62379, 260399}},
-{15689, 18, 38312, {1, 3, 3, 3, 25, 25, 123, 163, 399, 841, 963, 2089, 4949, 13085, 19831, 15345, 60377, 164235}},
-{15690, 18, 38315, {1, 1, 1, 9, 3, 21, 101, 105, 397, 23, 1505, 3201, 547, 295, 23247, 18823, 115243, 151073}},
-{15691, 18, 38317, {1, 3, 7, 1, 31, 27, 111, 23, 205, 709, 1625, 3921, 6225, 11039, 29549, 51239, 119003, 133663}},
-{15692, 18, 38343, {1, 3, 3, 11, 21, 49, 111, 195, 25, 833, 1991, 563, 7031, 15429, 5707, 12351, 32221, 16599}},
-{15693, 18, 38344, {1, 1, 5, 7, 5, 7, 39, 171, 39, 921, 385, 2343, 625, 15355, 4923, 36597, 56901, 148377}},
-{15694, 18, 38350, {1, 1, 3, 15, 7, 43, 89, 217, 67, 271, 853, 147, 6767, 3183, 341, 40769, 116767, 22351}},
-{15695, 18, 38358, {1, 3, 5, 7, 7, 3, 105, 27, 183, 59, 953, 4027, 1277, 10323, 29437, 56085, 32677, 198067}},
-{15696, 18, 38364, {1, 1, 1, 15, 23, 29, 51, 209, 13, 177, 1103, 1723, 2877, 9199, 25601, 15537, 8599, 230819}},
-{15697, 18, 38371, {1, 1, 7, 1, 29, 39, 41, 217, 467, 423, 431, 2707, 2017, 11865, 11989, 12045, 71349, 6311}},
-{15698, 18, 38373, {1, 1, 1, 13, 15, 25, 3, 55, 403, 833, 1843, 1159, 1703, 2221, 15379, 65027, 18327, 108881}},
-{15699, 18, 38377, {1, 3, 7, 13, 3, 27, 13, 227, 215, 873, 1073, 1117, 7941, 13607, 7571, 6957, 44991, 239761}},
-{15700, 18, 38392, {1, 3, 7, 11, 23, 1, 95, 235, 283, 977, 1443, 161, 5937, 4351, 30835, 35569, 57509, 1835}},
-{15701, 18, 38407, {1, 3, 3, 13, 11, 1, 85, 75, 261, 543, 9, 899, 5821, 5465, 9771, 53707, 101003, 219215}},
-{15702, 18, 38408, {1, 3, 1, 7, 21, 49, 35, 19, 35, 759, 1467, 1423, 6355, 8415, 563, 24157, 121029, 87309}},
-{15703, 18, 38421, {1, 1, 7, 1, 9, 13, 65, 85, 209, 583, 387, 1743, 2665, 12021, 7525, 27665, 45885, 135039}},
-{15704, 18, 38438, {1, 1, 7, 11, 29, 41, 91, 17, 291, 211, 1801, 493, 899, 14491, 1741, 28971, 35205, 131417}},
-{15705, 18, 38442, {1, 1, 5, 13, 23, 55, 119, 165, 61, 653, 1375, 3575, 5081, 7767, 19963, 61583, 107149, 240639}},
-{15706, 18, 38464, {1, 3, 5, 15, 25, 3, 51, 27, 127, 259, 55, 2221, 3951, 6243, 15825, 42881, 37009, 254401}},
-{15707, 18, 38473, {1, 3, 5, 11, 25, 63, 13, 105, 111, 677, 1545, 2399, 4419, 10853, 7213, 17183, 103411, 67459}},
-{15708, 18, 38484, {1, 1, 1, 11, 11, 31, 73, 125, 155, 545, 1857, 2749, 6389, 4083, 16239, 23651, 68881, 43455}},
-{15709, 18, 38491, {1, 3, 7, 7, 21, 3, 117, 237, 431, 17, 687, 2613, 7483, 3253, 30511, 53833, 33077, 157055}},
-{15710, 18, 38510, {1, 1, 1, 1, 1, 57, 65, 97, 415, 477, 1003, 1415, 1493, 12993, 30965, 24809, 1467, 213021}},
-{15711, 18, 38518, {1, 1, 3, 7, 25, 33, 45, 25, 511, 733, 1077, 2483, 5899, 14295, 11631, 50609, 128989, 45177}},
-{15712, 18, 38531, {1, 1, 3, 3, 25, 17, 115, 31, 115, 191, 293, 3991, 3039, 6751, 16217, 16517, 21121, 193641}},
-{15713, 18, 38537, {1, 3, 3, 13, 25, 23, 7, 51, 363, 641, 333, 2533, 605, 1105, 12941, 4195, 129571, 13253}},
-{15714, 18, 38538, {1, 3, 1, 11, 17, 21, 7, 205, 293, 159, 9, 441, 3287, 10247, 2115, 54099, 128109, 8137}},
-{15715, 18, 38567, {1, 1, 7, 5, 21, 17, 43, 87, 117, 737, 149, 3175, 343, 8509, 12147, 22041, 80037, 23277}},
-{15716, 18, 38594, {1, 3, 3, 1, 3, 7, 101, 245, 11, 1003, 175, 2323, 7807, 15611, 5161, 10277, 37009, 83231}},
-{15717, 18, 38647, {1, 3, 1, 5, 13, 17, 113, 75, 315, 237, 77, 587, 5409, 2053, 22551, 15205, 82545, 18531}},
-{15718, 18, 38651, {1, 3, 5, 11, 9, 57, 61, 117, 281, 111, 369, 2411, 1691, 3391, 5379, 8237, 87329, 4253}},
-{15719, 18, 38654, {1, 3, 3, 3, 19, 25, 101, 1, 495, 25, 1317, 2333, 6183, 12215, 27879, 56403, 37169, 71635}},
-{15720, 18, 38686, {1, 1, 3, 5, 17, 63, 49, 127, 171, 405, 1763, 3697, 405, 2233, 4137, 28787, 108319, 53133}},
-{15721, 18, 38702, {1, 1, 5, 7, 23, 43, 87, 189, 97, 239, 1459, 2115, 7517, 7799, 28957, 37105, 71835, 199195}},
-{15722, 18, 38751, {1, 3, 1, 3, 25, 25, 23, 61, 369, 717, 1711, 1103, 7535, 9871, 25, 26849, 55955, 113389}},
-{15723, 18, 38821, {1, 1, 1, 11, 25, 57, 33, 175, 127, 541, 1031, 2847, 2069, 4033, 25593, 10615, 50097, 122955}},
-{15724, 18, 38825, {1, 3, 3, 13, 11, 27, 97, 171, 245, 33, 213, 4069, 753, 3535, 11727, 34941, 100543, 220789}},
-{15725, 18, 38853, {1, 3, 3, 9, 3, 17, 13, 237, 477, 507, 1751, 3191, 3385, 13977, 23355, 57355, 64341, 37683}},
-{15726, 18, 38863, {1, 1, 7, 13, 13, 43, 7, 153, 209, 7, 63, 585, 1715, 13313, 25355, 46759, 71893, 29755}},
-{15727, 18, 38882, {1, 3, 3, 3, 11, 23, 11, 147, 135, 1011, 1105, 3931, 3861, 13589, 32183, 30727, 37685, 67123}},
-{15728, 18, 38884, {1, 3, 7, 1, 11, 13, 25, 229, 147, 843, 329, 3337, 7559, 13193, 3011, 31549, 102461, 46195}},
-{15729, 18, 38932, {1, 1, 5, 11, 5, 47, 127, 89, 53, 663, 261, 541, 7743, 13037, 9013, 23079, 81225, 239875}},
-{15730, 18, 38941, {1, 1, 7, 3, 5, 39, 15, 177, 357, 357, 1959, 1721, 6703, 11829, 1195, 42113, 88699, 244347}},
-{15731, 18, 38952, {1, 1, 5, 15, 25, 19, 7, 3, 225, 773, 1535, 99, 6555, 4105, 19137, 56155, 109141, 161015}},
-{15732, 18, 38960, {1, 1, 5, 15, 5, 59, 41, 53, 203, 459, 1063, 3015, 5397, 1559, 20835, 57773, 67687, 206189}},
-{15733, 18, 38980, {1, 3, 1, 11, 17, 25, 61, 221, 37, 809, 1461, 1961, 7697, 1777, 23179, 54761, 7787, 177737}},
-{15734, 18, 38995, {1, 3, 7, 15, 27, 21, 49, 107, 353, 677, 461, 239, 5871, 1059, 3011, 32397, 13149, 103973}},
-{15735, 18, 39004, {1, 1, 5, 3, 11, 53, 61, 239, 479, 913, 479, 3435, 4979, 7931, 16841, 60077, 26667, 212601}},
-{15736, 18, 39013, {1, 1, 3, 5, 3, 19, 43, 143, 353, 507, 871, 2547, 7321, 6163, 9425, 62911, 86153, 239011}},
-{15737, 18, 39017, {1, 1, 1, 3, 15, 7, 115, 43, 69, 299, 1235, 1511, 3111, 7465, 769, 46981, 127707, 195839}},
-{15738, 18, 39026, {1, 1, 1, 5, 23, 27, 19, 21, 273, 291, 953, 3577, 3147, 3863, 18625, 53505, 33699, 123305}},
-{15739, 18, 39056, {1, 3, 5, 9, 3, 11, 89, 27, 447, 119, 493, 2605, 8175, 8837, 27555, 2319, 99101, 79121}},
-{15740, 18, 39121, {1, 1, 7, 11, 1, 11, 77, 129, 97, 261, 1241, 3117, 1627, 5397, 6495, 52339, 52711, 206237}},
-{15741, 18, 39124, {1, 3, 7, 9, 27, 57, 77, 147, 35, 845, 1417, 1615, 6097, 12559, 10765, 19027, 91693, 204339}},
-{15742, 18, 39133, {1, 1, 3, 5, 25, 47, 17, 145, 7, 969, 1981, 733, 4303, 7785, 4241, 39733, 82569, 78061}},
-{15743, 18, 39157, {1, 1, 5, 1, 5, 47, 45, 111, 405, 943, 1911, 1613, 3817, 10483, 17729, 7201, 88033, 261701}},
-{15744, 18, 39181, {1, 3, 3, 13, 9, 3, 87, 39, 277, 769, 57, 2503, 7803, 11041, 20945, 19623, 32617, 110027}},
-{15745, 18, 39187, {1, 1, 3, 3, 27, 57, 1, 103, 427, 935, 1617, 665, 837, 8001, 13543, 44771, 64033, 65239}},
-{15746, 18, 39212, {1, 1, 5, 3, 13, 21, 31, 59, 225, 945, 1825, 1511, 3273, 3171, 30347, 21993, 40203, 143297}},
-{15747, 18, 39223, {1, 3, 5, 7, 11, 3, 3, 217, 167, 885, 975, 3249, 7909, 13621, 18697, 61021, 31497, 198033}},
-{15748, 18, 39250, {1, 3, 5, 9, 11, 5, 87, 33, 117, 471, 267, 529, 5879, 13969, 5731, 52613, 106411, 74341}},
-{15749, 18, 39265, {1, 1, 7, 11, 5, 31, 25, 55, 135, 779, 717, 1953, 7929, 11011, 6133, 14099, 106975, 178337}},
-{15750, 18, 39320, {1, 3, 1, 1, 29, 17, 125, 7, 445, 299, 1897, 3235, 8189, 14339, 14725, 63185, 126751, 88747}},
-{15751, 18, 39330, {1, 1, 5, 3, 1, 11, 65, 161, 243, 605, 1945, 3141, 6443, 9703, 13331, 2239, 6315, 247595}},
-{15752, 18, 39335, {1, 3, 1, 7, 15, 23, 83, 215, 331, 631, 453, 879, 4109, 4897, 16535, 55749, 90799, 147287}},
-{15753, 18, 39353, {1, 3, 5, 13, 25, 1, 109, 205, 49, 471, 1735, 973, 1279, 9917, 18225, 44921, 98519, 211541}},
-{15754, 18, 39371, {1, 1, 5, 11, 29, 41, 113, 187, 75, 479, 1633, 841, 6259, 8919, 27751, 25179, 115369, 166567}},
-{15755, 18, 39385, {1, 3, 5, 11, 17, 31, 107, 41, 435, 647, 811, 2937, 5819, 3483, 3835, 57033, 53543, 61973}},
-{15756, 18, 39421, {1, 3, 3, 11, 15, 45, 33, 103, 505, 67, 463, 1275, 2449, 15261, 22867, 25215, 38793, 189309}},
-{15757, 18, 39432, {1, 1, 1, 5, 19, 45, 35, 173, 365, 39, 1599, 3623, 2231, 12141, 19437, 27053, 15869, 104719}},
-{15758, 18, 39443, {1, 3, 7, 7, 9, 17, 87, 151, 249, 81, 1109, 1951, 7475, 1699, 17847, 64149, 50285, 242793}},
-{15759, 18, 39450, {1, 3, 5, 13, 15, 51, 35, 105, 479, 763, 1945, 2349, 2987, 621, 283, 20411, 65799, 86517}},
-{15760, 18, 39455, {1, 3, 3, 1, 19, 31, 49, 229, 249, 689, 737, 4027, 5405, 15211, 26785, 39143, 93163, 190421}},
-{15761, 18, 39468, {1, 3, 7, 5, 1, 21, 63, 97, 347, 73, 745, 3455, 2347, 3821, 31385, 6545, 91803, 72895}},
-{15762, 18, 39473, {1, 1, 1, 15, 23, 11, 107, 47, 183, 235, 1985, 3277, 933, 8491, 14423, 24293, 6783, 162199}},
-{15763, 18, 39488, {1, 3, 3, 9, 17, 3, 123, 59, 277, 773, 1617, 2979, 1555, 9753, 10947, 24745, 89043, 45185}},
-{15764, 18, 39497, {1, 3, 7, 3, 25, 17, 79, 43, 311, 415, 1045, 1289, 7451, 11413, 11319, 37177, 101327, 147453}},
-{15765, 18, 39521, {1, 3, 7, 7, 17, 45, 49, 33, 313, 613, 1773, 773, 161, 13579, 1207, 5681, 120597, 178639}},
-{15766, 18, 39531, {1, 3, 5, 5, 17, 43, 65, 243, 287, 223, 253, 687, 887, 14887, 1077, 53337, 62381, 43531}},
-{15767, 18, 39542, {1, 3, 5, 1, 21, 3, 39, 149, 497, 939, 1537, 437, 5345, 10321, 25151, 48785, 49879, 90945}},
-{15768, 18, 39585, {1, 1, 7, 11, 1, 61, 113, 63, 285, 615, 343, 2897, 1939, 7911, 16387, 10781, 92769, 27995}},
-{15769, 18, 39605, {1, 1, 3, 3, 19, 29, 85, 227, 355, 857, 883, 1853, 5065, 13795, 5749, 59107, 57947, 35775}},
-{15770, 18, 39658, {1, 3, 5, 9, 23, 37, 119, 161, 23, 511, 81, 973, 4769, 10821, 32607, 61731, 64907, 99055}},
-{15771, 18, 39677, {1, 3, 1, 3, 11, 17, 109, 241, 349, 887, 1651, 3865, 2045, 15893, 4597, 11557, 53313, 48489}},
-{15772, 18, 39703, {1, 1, 5, 9, 31, 43, 49, 193, 171, 477, 363, 735, 1379, 8977, 9759, 56477, 99495, 170433}},
-{15773, 18, 39726, {1, 1, 3, 7, 25, 25, 77, 31, 21, 1001, 1527, 1725, 6479, 8927, 11249, 63969, 86291, 74391}},
-{15774, 18, 39731, {1, 3, 5, 13, 1, 43, 27, 7, 507, 569, 251, 2199, 3895, 7845, 13641, 1655, 112949, 119493}},
-{15775, 18, 39745, {1, 3, 7, 15, 7, 1, 123, 27, 121, 261, 201, 1469, 4229, 2933, 25157, 1919, 127937, 21607}},
-{15776, 18, 39776, {1, 1, 3, 9, 29, 59, 47, 81, 293, 191, 401, 849, 4355, 1643, 23533, 8469, 389, 97891}},
-{15777, 18, 39796, {1, 3, 5, 5, 9, 55, 37, 175, 203, 179, 901, 3473, 1489, 1009, 24623, 54895, 8711, 190271}},
-{15778, 18, 39809, {1, 1, 7, 1, 13, 39, 49, 105, 385, 189, 1079, 2799, 5901, 2511, 23199, 58925, 111727, 131193}},
-{15779, 18, 39833, {1, 1, 1, 7, 31, 63, 37, 181, 493, 745, 1131, 223, 8055, 9507, 26667, 22163, 26495, 200945}},
-{15780, 18, 39850, {1, 3, 7, 1, 25, 15, 127, 71, 445, 935, 1439, 1167, 3751, 799, 27253, 46209, 33413, 38553}},
-{15781, 18, 39869, {1, 3, 3, 11, 29, 35, 125, 77, 129, 851, 731, 3259, 4651, 4137, 20921, 19779, 119261, 141507}},
-{15782, 18, 39882, {1, 3, 1, 9, 11, 13, 31, 211, 87, 377, 547, 113, 1071, 7167, 28377, 52943, 50669, 156915}},
-{15783, 18, 39906, {1, 1, 3, 7, 29, 55, 89, 215, 425, 513, 175, 1145, 6995, 1929, 14253, 20563, 118543, 104403}},
-{15784, 18, 39918, {1, 1, 1, 5, 23, 25, 1, 23, 175, 571, 1597, 3801, 1411, 1783, 13045, 37499, 86831, 139101}},
-{15785, 18, 39929, {1, 3, 3, 13, 15, 19, 35, 139, 483, 17, 1555, 3431, 3417, 13695, 15985, 65243, 96659, 76027}},
-{15786, 18, 39947, {1, 3, 7, 9, 23, 7, 17, 89, 33, 353, 1999, 2561, 331, 15661, 25757, 63389, 112913, 131757}},
-{15787, 18, 39985, {1, 3, 1, 11, 27, 59, 37, 75, 121, 429, 1833, 3243, 2029, 2601, 5013, 29433, 123565, 234803}},
-{15788, 18, 39986, {1, 3, 1, 7, 31, 13, 33, 25, 459, 803, 267, 1573, 5579, 4575, 8125, 7491, 72681, 239409}},
-{15789, 18, 40023, {1, 1, 3, 7, 31, 43, 93, 191, 237, 75, 1809, 3257, 4131, 1983, 29153, 23205, 38393, 197859}},
-{15790, 18, 40024, {1, 3, 5, 5, 17, 47, 17, 153, 499, 529, 1515, 1587, 2951, 12431, 12787, 13245, 54117, 82663}},
-{15791, 18, 40039, {1, 1, 1, 13, 7, 23, 23, 7, 441, 991, 641, 2713, 151, 1863, 6065, 47381, 60493, 136325}},
-{15792, 18, 40053, {1, 3, 3, 11, 11, 15, 31, 137, 285, 439, 835, 3033, 6083, 7883, 3405, 35803, 65059, 150143}},
-{15793, 18, 40079, {1, 1, 7, 3, 19, 47, 61, 163, 313, 813, 1315, 2995, 2805, 14397, 6589, 62123, 46229, 206697}},
-{15794, 18, 40084, {1, 3, 5, 5, 27, 51, 25, 99, 241, 571, 1411, 1191, 7095, 8639, 29195, 53733, 53219, 42851}},
-{15795, 18, 40087, {1, 3, 1, 5, 11, 29, 1, 49, 61, 149, 1931, 29, 7163, 3717, 525, 42375, 71451, 8345}},
-{15796, 18, 40094, {1, 3, 3, 3, 13, 19, 97, 249, 265, 509, 1347, 3081, 6535, 7941, 31565, 59897, 91909, 171789}},
-{15797, 18, 40100, {1, 3, 3, 1, 25, 17, 75, 169, 251, 607, 73, 549, 1397, 10661, 1743, 9615, 41327, 243207}},
-{15798, 18, 40112, {1, 3, 1, 11, 7, 7, 15, 181, 385, 883, 651, 2939, 5457, 15309, 9807, 22221, 72893, 146331}},
-{15799, 18, 40129, {1, 3, 3, 5, 7, 7, 53, 75, 139, 459, 1861, 917, 4101, 10379, 18555, 12633, 70023, 254761}},
-{15800, 18, 40132, {1, 3, 3, 1, 17, 51, 5, 109, 471, 3, 1555, 3731, 6711, 9791, 63, 61931, 75269, 138697}},
-{15801, 18, 40142, {1, 1, 7, 15, 11, 1, 53, 141, 423, 567, 1937, 849, 5657, 7437, 32657, 16253, 115219, 106027}},
-{15802, 18, 40154, {1, 3, 5, 1, 17, 29, 65, 213, 443, 541, 697, 3859, 1463, 16081, 23299, 7645, 19475, 77857}},
-{15803, 18, 40177, {1, 1, 7, 3, 21, 43, 99, 101, 329, 755, 1123, 1277, 1381, 7017, 21763, 28243, 109995, 178377}},
-{15804, 18, 40178, {1, 3, 5, 7, 9, 31, 103, 123, 43, 895, 1925, 3383, 3539, 13669, 873, 57361, 45281, 256517}},
-{15805, 18, 40202, {1, 1, 1, 13, 1, 37, 115, 55, 415, 703, 1217, 939, 1145, 4015, 7233, 44799, 79711, 164725}},
-{15806, 18, 40219, {1, 1, 7, 1, 29, 17, 101, 15, 205, 281, 1059, 301, 753, 11953, 10533, 31881, 67741, 12683}},
-{15807, 18, 40303, {1, 1, 7, 13, 9, 23, 31, 237, 181, 813, 1765, 2237, 4897, 9955, 2139, 13113, 123423, 227629}},
-{15808, 18, 40305, {1, 1, 7, 15, 27, 57, 37, 75, 405, 185, 1671, 2245, 7151, 10531, 13161, 15695, 107547, 47689}},
-{15809, 18, 40311, {1, 1, 5, 15, 17, 53, 75, 251, 277, 1001, 179, 589, 1401, 4937, 11601, 47113, 36677, 39263}},
-{15810, 18, 40336, {1, 3, 5, 15, 23, 47, 53, 81, 115, 547, 1363, 2457, 4407, 10861, 25649, 64013, 44747, 97949}},
-{15811, 18, 40342, {1, 1, 3, 1, 25, 29, 121, 43, 205, 591, 211, 1899, 5835, 739, 19627, 60387, 127369, 11255}},
-{15812, 18, 40358, {1, 1, 3, 15, 31, 11, 93, 227, 501, 731, 1355, 3963, 347, 83, 12595, 56431, 80049, 42103}},
-{15813, 18, 40381, {1, 3, 1, 11, 13, 17, 51, 165, 311, 67, 1873, 1493, 3815, 13209, 11637, 5809, 94219, 118077}},
-{15814, 18, 40417, {1, 1, 7, 15, 19, 17, 13, 73, 365, 413, 1215, 2265, 2173, 8725, 4725, 1373, 76733, 95379}},
-{15815, 18, 40438, {1, 3, 1, 7, 7, 61, 13, 145, 205, 113, 1579, 3851, 7515, 10659, 28665, 5277, 65925, 10141}},
-{15816, 18, 40463, {1, 3, 7, 1, 9, 63, 11, 83, 197, 797, 1065, 1521, 1751, 7423, 7473, 4371, 29533, 225167}},
-{15817, 18, 40471, {1, 3, 7, 7, 3, 63, 71, 177, 53, 279, 1837, 2609, 7819, 7285, 11059, 65247, 102869, 24429}},
-{15818, 18, 40472, {1, 3, 3, 13, 9, 21, 123, 125, 367, 85, 85, 1009, 1009, 7779, 3375, 30999, 5035, 215107}},
-{15819, 18, 40488, {1, 3, 3, 9, 31, 53, 5, 43, 483, 483, 1359, 2605, 377, 4243, 13291, 50211, 118603, 259865}},
-{15820, 18, 40491, {1, 1, 1, 5, 19, 37, 109, 139, 373, 79, 1951, 3379, 5679, 6445, 29127, 56229, 97369, 232561}},
-{15821, 18, 40525, {1, 1, 3, 5, 19, 37, 61, 225, 321, 573, 1831, 971, 6507, 10005, 6837, 16433, 70913, 170873}},
-{15822, 18, 40526, {1, 1, 5, 11, 31, 17, 21, 29, 329, 679, 869, 389, 5121, 1819, 3539, 43793, 31617, 204983}},
-{15823, 18, 40550, {1, 1, 7, 7, 21, 11, 83, 97, 297, 275, 1559, 1899, 4957, 11463, 25647, 21095, 70121, 113395}},
-{15824, 18, 40553, {1, 3, 5, 11, 19, 57, 39, 37, 441, 715, 383, 4083, 1937, 12263, 6989, 36159, 118135, 238475}},
-{15825, 18, 40562, {1, 1, 1, 3, 9, 53, 85, 201, 357, 807, 865, 1621, 1993, 7623, 3165, 1005, 93343, 227765}},
-{15826, 18, 40568, {1, 1, 7, 7, 21, 29, 123, 175, 319, 621, 303, 117, 5589, 12511, 26053, 41603, 78439, 71819}},
-{15827, 18, 40580, {1, 1, 7, 15, 31, 47, 75, 225, 295, 67, 1349, 1749, 1363, 8763, 9153, 4059, 72015, 3155}},
-{15828, 18, 40608, {1, 3, 5, 13, 19, 23, 79, 25, 319, 475, 1517, 2757, 4009, 12663, 535, 51617, 55695, 64399}},
-{15829, 18, 40613, {1, 3, 7, 13, 19, 39, 61, 235, 369, 951, 111, 2169, 353, 15371, 8611, 42477, 130981, 97419}},
-{15830, 18, 40652, {1, 1, 3, 13, 27, 31, 115, 201, 3, 291, 793, 237, 3593, 2307, 12745, 54603, 96451, 80853}},
-{15831, 18, 40703, {1, 3, 3, 11, 11, 35, 43, 1, 35, 415, 1307, 2303, 5407, 6883, 29023, 31271, 119721, 90599}},
-{15832, 18, 40712, {1, 1, 5, 9, 21, 23, 3, 1, 333, 463, 1277, 1165, 6521, 4887, 16029, 32537, 43681, 21633}},
-{15833, 18, 40720, {1, 1, 1, 13, 1, 35, 45, 57, 293, 435, 1113, 2477, 6641, 14083, 28489, 26189, 44695, 220481}},
-{15834, 18, 40723, {1, 3, 5, 5, 5, 31, 75, 149, 309, 921, 941, 1063, 7041, 12651, 29533, 46955, 88133, 89989}},
-{15835, 18, 40746, {1, 1, 3, 5, 15, 23, 127, 143, 193, 739, 281, 991, 3731, 16243, 25483, 24979, 102317, 186657}},
-{15836, 18, 40759, {1, 1, 3, 13, 3, 63, 23, 69, 181, 163, 1733, 893, 5513, 1525, 31483, 15033, 108021, 167875}},
-{15837, 18, 40765, {1, 1, 5, 15, 15, 51, 79, 59, 55, 243, 565, 159, 7925, 8393, 20059, 35011, 53779, 166241}},
-{15838, 18, 40771, {1, 1, 3, 5, 11, 57, 85, 175, 495, 999, 1577, 2377, 715, 2473, 16979, 5949, 87691, 195607}},
-{15839, 18, 40778, {1, 1, 1, 13, 17, 21, 53, 73, 187, 63, 335, 3251, 4439, 5701, 13469, 23567, 70125, 68931}},
-{15840, 18, 40788, {1, 1, 1, 13, 23, 11, 55, 75, 37, 845, 745, 2193, 7113, 5657, 29449, 41153, 115547, 87261}},
-{15841, 18, 40804, {1, 3, 3, 9, 21, 39, 47, 145, 301, 883, 625, 2479, 1089, 3393, 23265, 49577, 81027, 186485}},
-{15842, 18, 40835, {1, 1, 3, 7, 3, 11, 37, 117, 79, 905, 493, 265, 1819, 12179, 12361, 27457, 14459, 231837}},
-{15843, 18, 40841, {1, 3, 5, 11, 19, 45, 99, 5, 455, 497, 1851, 2349, 5213, 3671, 5871, 43187, 59011, 211167}},
-{15844, 18, 40907, {1, 3, 7, 5, 23, 61, 63, 97, 413, 575, 1073, 2587, 573, 1805, 32307, 58463, 84927, 15065}},
-{15845, 18, 40934, {1, 3, 1, 13, 23, 9, 39, 1, 53, 383, 1277, 3599, 7719, 16175, 4443, 53143, 24345, 111899}},
-{15846, 18, 40955, {1, 1, 7, 1, 19, 37, 103, 245, 253, 5, 1367, 3127, 4689, 5089, 30697, 45513, 111291, 26599}},
-{15847, 18, 40986, {1, 3, 3, 7, 31, 31, 107, 163, 1, 855, 163, 875, 7481, 5325, 30107, 19377, 3167, 5613}},
-{15848, 18, 41007, {1, 1, 5, 13, 21, 17, 115, 203, 233, 333, 441, 3185, 3197, 3397, 8515, 61879, 11163, 233277}},
-{15849, 18, 41016, {1, 3, 5, 3, 17, 53, 93, 233, 465, 573, 1075, 1905, 1141, 4965, 13469, 24901, 23653, 225233}},
-{15850, 18, 41034, {1, 3, 7, 11, 11, 1, 95, 47, 85, 65, 9, 2413, 7347, 2127, 305, 4673, 79281, 188081}},
-{15851, 18, 41041, {1, 1, 7, 5, 9, 5, 27, 23, 393, 201, 467, 3677, 2641, 4671, 24627, 18927, 45137, 74167}},
-{15852, 18, 41063, {1, 3, 5, 11, 11, 9, 19, 247, 423, 693, 1885, 1129, 7459, 8411, 2573, 54111, 98919, 160075}},
-{15853, 18, 41084, {1, 3, 3, 3, 1, 3, 67, 131, 317, 915, 151, 3609, 4083, 6395, 12877, 44017, 28877, 244165}},
-{15854, 18, 41093, {1, 3, 1, 3, 1, 33, 29, 23, 19, 323, 873, 115, 2439, 4699, 5449, 51637, 68889, 105197}},
-{15855, 18, 41097, {1, 1, 7, 1, 19, 55, 37, 241, 53, 695, 729, 1565, 19, 12875, 26993, 18511, 35615, 169281}},
-{15856, 18, 41111, {1, 3, 3, 1, 1, 7, 121, 49, 345, 883, 1001, 657, 2647, 15387, 30633, 18107, 13745, 217735}},
-{15857, 18, 41118, {1, 3, 5, 15, 11, 45, 73, 77, 307, 373, 1723, 335, 473, 5735, 11747, 39257, 87199, 47663}},
-{15858, 18, 41121, {1, 1, 7, 7, 27, 21, 121, 169, 427, 605, 1593, 3147, 1001, 3773, 31505, 22823, 21543, 82931}},
-{15859, 18, 41141, {1, 1, 1, 9, 11, 59, 91, 165, 249, 859, 483, 3133, 5729, 12675, 7761, 6475, 116823, 224187}},
-{15860, 18, 41160, {1, 1, 3, 3, 27, 31, 51, 1, 429, 517, 1439, 3959, 2343, 6709, 5287, 24039, 52409, 20749}},
-{15861, 18, 41207, {1, 3, 7, 7, 11, 31, 83, 111, 391, 729, 721, 1675, 5679, 14637, 22065, 49903, 113759, 40881}},
-{15862, 18, 41214, {1, 3, 7, 1, 25, 15, 91, 59, 87, 313, 155, 1439, 2419, 2099, 22709, 10289, 40655, 17351}},
-{15863, 18, 41255, {1, 3, 5, 1, 15, 5, 11, 21, 261, 227, 1563, 1177, 4731, 3487, 1607, 46599, 105599, 193425}},
-{15864, 18, 41284, {1, 1, 5, 5, 5, 45, 77, 181, 431, 27, 1985, 881, 2555, 7589, 16199, 31041, 66683, 52499}},
-{15865, 18, 41287, {1, 1, 1, 15, 5, 29, 111, 209, 335, 747, 93, 3551, 5951, 14995, 18451, 33329, 9117, 167455}},
-{15866, 18, 41308, {1, 3, 1, 7, 25, 9, 113, 123, 387, 87, 267, 2251, 3509, 10829, 32733, 48025, 58267, 143553}},
-{15867, 18, 41330, {1, 3, 5, 15, 17, 17, 65, 107, 175, 427, 733, 797, 3837, 12773, 27865, 29481, 4557, 196163}},
-{15868, 18, 41336, {1, 3, 1, 3, 1, 53, 93, 175, 509, 351, 1093, 1039, 6931, 2691, 14957, 44395, 84383, 58915}},
-{15869, 18, 41437, {1, 1, 1, 11, 1, 43, 61, 123, 377, 813, 1335, 1597, 147, 13663, 30781, 47635, 24111, 64307}},
-{15870, 18, 41444, {1, 1, 3, 11, 25, 27, 15, 215, 125, 679, 1491, 3203, 5403, 4531, 11839, 44227, 49239, 110439}},
-{15871, 18, 41456, {1, 1, 3, 13, 9, 35, 71, 127, 127, 629, 1363, 585, 6713, 10637, 6803, 20963, 47157, 157781}},
-{15872, 18, 41481, {1, 1, 3, 11, 13, 21, 117, 241, 365, 175, 1397, 1279, 4117, 5427, 24007, 50711, 465, 225003}},
-{15873, 18, 41489, {1, 1, 1, 9, 13, 63, 49, 189, 113, 61, 353, 2221, 7541, 4075, 5283, 5505, 51035, 35191}},
-{15874, 18, 41499, {1, 1, 7, 9, 11, 37, 123, 63, 331, 691, 1299, 1661, 3769, 7827, 32127, 32149, 7271, 150363}},
-{15875, 18, 41555, {1, 1, 1, 5, 25, 5, 127, 195, 413, 657, 479, 879, 6743, 8959, 791, 22425, 77119, 180721}},
-{15876, 18, 41561, {1, 1, 7, 3, 13, 57, 123, 125, 135, 69, 455, 3363, 1783, 1557, 20401, 26707, 130345, 195881}},
-{15877, 18, 41562, {1, 3, 3, 7, 27, 19, 125, 71, 201, 1017, 1285, 3955, 5255, 14375, 18163, 28537, 76157, 247193}},
-{15878, 18, 41571, {1, 1, 3, 1, 27, 33, 123, 137, 189, 655, 1891, 2419, 5195, 97, 32565, 38581, 62715, 164697}},
-{15879, 18, 41592, {1, 1, 1, 15, 9, 47, 23, 147, 197, 503, 1803, 2953, 2961, 13787, 10545, 35465, 53997, 198655}},
-{15880, 18, 41631, {1, 3, 1, 9, 9, 43, 65, 237, 119, 621, 1517, 3479, 4165, 12797, 14731, 53131, 105501, 112845}},
-{15881, 18, 41661, {1, 3, 3, 15, 3, 23, 47, 163, 469, 363, 1813, 3107, 6167, 8987, 26829, 33099, 6821, 203017}},
-{15882, 18, 41682, {1, 1, 1, 9, 1, 11, 85, 11, 251, 907, 395, 3935, 3403, 229, 16825, 48337, 103647, 91425}},
-{15883, 18, 41710, {1, 3, 1, 5, 17, 57, 21, 181, 31, 27, 235, 4041, 4927, 8319, 29765, 61603, 19081, 75879}},
-{15884, 18, 41724, {1, 1, 5, 15, 11, 3, 7, 225, 247, 221, 251, 1979, 1151, 10829, 26491, 39705, 41587, 99063}},
-{15885, 18, 41727, {1, 3, 5, 5, 19, 23, 57, 127, 467, 409, 43, 829, 3883, 10767, 24351, 31365, 115943, 209231}},
-{15886, 18, 41730, {1, 1, 7, 15, 3, 51, 17, 251, 219, 33, 1511, 2027, 4995, 12277, 7639, 59895, 85267, 87735}},
-{15887, 18, 41744, {1, 3, 7, 3, 7, 29, 93, 57, 427, 235, 1591, 3475, 1159, 2387, 851, 43307, 87081, 151543}},
-{15888, 18, 41769, {1, 3, 7, 7, 1, 9, 21, 167, 73, 439, 2035, 2091, 4563, 4819, 5591, 57123, 78739, 63235}},
-{15889, 18, 41795, {1, 1, 3, 13, 19, 35, 63, 17, 425, 277, 1669, 931, 597, 5621, 22367, 1155, 109099, 169965}},
-{15890, 18, 41798, {1, 3, 7, 5, 11, 11, 41, 71, 35, 183, 555, 2631, 5199, 16381, 16319, 1851, 121551, 141711}},
-{15891, 18, 41804, {1, 3, 5, 5, 21, 17, 3, 95, 47, 1011, 1757, 3295, 1111, 16043, 6377, 16257, 37941, 206637}},
-{15892, 18, 41826, {1, 3, 1, 5, 25, 19, 19, 69, 395, 589, 1311, 1075, 5763, 12475, 3633, 40647, 54487, 97459}},
-{15893, 18, 41852, {1, 3, 5, 7, 13, 23, 83, 91, 419, 415, 685, 1685, 2893, 12953, 30641, 43565, 11851, 187837}},
-{15894, 18, 41868, {1, 1, 5, 11, 27, 1, 61, 155, 279, 737, 215, 2909, 969, 57, 17979, 34537, 41861, 243717}},
-{15895, 18, 41910, {1, 1, 5, 1, 17, 61, 57, 199, 127, 569, 1109, 3057, 7301, 16097, 17579, 25753, 82653, 237273}},
-{15896, 18, 41914, {1, 1, 7, 15, 17, 45, 19, 53, 153, 785, 51, 291, 5261, 1317, 21163, 44393, 108131, 254373}},
-{15897, 18, 41942, {1, 1, 3, 11, 5, 19, 61, 125, 127, 961, 2019, 1725, 855, 677, 20853, 38845, 3239, 95697}},
-{15898, 18, 41969, {1, 1, 3, 15, 3, 3, 117, 17, 61, 201, 241, 1759, 4465, 3985, 6985, 47703, 58657, 52633}},
-{15899, 18, 41975, {1, 3, 3, 11, 31, 39, 107, 171, 19, 825, 1309, 807, 7787, 10761, 20215, 9287, 21553, 179599}},
-{15900, 18, 41976, {1, 3, 7, 9, 5, 7, 121, 15, 3, 199, 97, 3177, 5461, 15713, 27609, 54349, 24963, 186279}},
-{15901, 18, 41994, {1, 3, 1, 15, 11, 9, 123, 187, 363, 5, 837, 451, 1601, 6597, 10857, 46893, 83729, 20409}},
-{15902, 18, 42002, {1, 3, 1, 9, 1, 53, 71, 191, 217, 165, 1709, 1827, 1977, 10073, 11373, 35311, 26637, 134519}},
-{15903, 18, 42037, {1, 3, 5, 11, 31, 55, 101, 189, 277, 347, 629, 223, 785, 5739, 25505, 55601, 55017, 212837}},
-{15904, 18, 42056, {1, 1, 5, 11, 3, 13, 45, 235, 65, 459, 621, 587, 7105, 6181, 13193, 5683, 42935, 198585}},
-{15905, 18, 42079, {1, 1, 3, 1, 3, 17, 27, 109, 261, 979, 903, 1499, 4799, 11759, 10591, 65429, 74587, 16629}},
-{15906, 18, 42085, {1, 1, 5, 1, 13, 63, 29, 11, 441, 151, 611, 4073, 3933, 6793, 28845, 39223, 120823, 49397}},
-{15907, 18, 42089, {1, 3, 3, 5, 21, 13, 23, 53, 357, 197, 1327, 1773, 2961, 11509, 16585, 10201, 28451, 45109}},
-{15908, 18, 42123, {1, 3, 5, 7, 19, 17, 97, 63, 295, 111, 85, 2981, 6719, 9193, 15197, 12117, 2553, 59909}},
-{15909, 18, 42128, {1, 1, 5, 5, 15, 3, 9, 85, 333, 379, 1409, 1445, 4173, 3953, 833, 48089, 120249, 122703}},
-{15910, 18, 42140, {1, 3, 7, 7, 29, 13, 57, 19, 141, 979, 1991, 4011, 8125, 3915, 15753, 1371, 113771, 117273}},
-{15911, 18, 42149, {1, 3, 3, 13, 21, 53, 115, 187, 279, 29, 1355, 1843, 253, 3531, 8193, 54731, 6213, 123467}},
-{15912, 18, 42156, {1, 3, 3, 1, 25, 29, 109, 19, 37, 385, 901, 3737, 6247, 9941, 13185, 2895, 88819, 53029}},
-{15913, 18, 42186, {1, 1, 1, 1, 3, 31, 89, 157, 483, 657, 1833, 2975, 3187, 631, 28685, 7277, 4915, 115955}},
-{15914, 18, 42191, {1, 3, 3, 1, 25, 41, 13, 99, 385, 303, 297, 419, 7919, 12411, 757, 9227, 47867, 120175}},
-{15915, 18, 42205, {1, 3, 5, 11, 23, 15, 21, 157, 177, 301, 789, 2791, 5769, 7809, 2369, 26123, 116465, 22595}},
-{15916, 18, 42221, {1, 1, 5, 9, 17, 63, 45, 239, 465, 811, 1157, 1443, 8137, 12587, 26209, 62057, 59299, 167171}},
-{15917, 18, 42222, {1, 3, 3, 7, 3, 45, 41, 17, 341, 461, 571, 541, 989, 4069, 17531, 46729, 107915, 47871}},
-{15918, 18, 42230, {1, 1, 7, 1, 1, 23, 45, 213, 125, 799, 5, 3443, 2535, 12983, 2133, 63411, 93027, 89831}},
-{15919, 18, 42233, {1, 1, 1, 15, 7, 31, 49, 181, 213, 923, 281, 2059, 861, 6951, 25659, 32209, 66423, 225885}},
-{15920, 18, 42241, {1, 3, 3, 7, 9, 39, 107, 197, 383, 179, 27, 1395, 6397, 16139, 32049, 33567, 43977, 203939}},
-{15921, 18, 42247, {1, 1, 3, 5, 13, 37, 13, 31, 339, 527, 641, 181, 1413, 8145, 341, 57605, 108031, 109311}},
-{15922, 18, 42248, {1, 1, 1, 1, 21, 35, 87, 15, 279, 967, 1003, 813, 5075, 10595, 5609, 33901, 86443, 150007}},
-{15923, 18, 42254, {1, 3, 1, 5, 27, 9, 75, 199, 377, 889, 545, 1987, 6277, 361, 12563, 35699, 27105, 187995}},
-{15924, 18, 42259, {1, 3, 7, 1, 11, 3, 41, 215, 273, 61, 821, 1207, 2809, 8731, 26409, 50323, 22355, 16521}},
-{15925, 18, 42268, {1, 1, 7, 5, 29, 13, 99, 133, 15, 673, 215, 445, 4051, 2187, 9395, 62491, 58685, 224707}},
-{15926, 18, 42295, {1, 3, 3, 13, 21, 59, 17, 1, 271, 613, 939, 1881, 2379, 16325, 3275, 63707, 59961, 106937}},
-{15927, 18, 42304, {1, 3, 3, 1, 23, 53, 51, 181, 391, 375, 767, 239, 373, 4593, 25211, 37173, 70409, 252345}},
-{15928, 18, 42322, {1, 3, 3, 11, 15, 17, 37, 145, 41, 107, 151, 1351, 3457, 14727, 755, 36321, 99397, 73359}},
-{15929, 18, 42334, {1, 3, 5, 7, 25, 31, 39, 185, 341, 721, 1799, 1803, 5985, 10587, 11605, 9937, 23905, 56485}},
-{15930, 18, 42355, {1, 3, 1, 3, 19, 35, 25, 71, 109, 209, 1675, 4043, 2053, 6285, 25317, 50171, 68293, 124385}},
-{15931, 18, 42361, {1, 1, 1, 1, 21, 11, 63, 137, 361, 157, 1985, 2161, 7239, 1795, 10459, 38511, 36817, 253347}},
-{15932, 18, 42373, {1, 1, 1, 5, 31, 3, 13, 83, 185, 175, 567, 295, 459, 11453, 3765, 9841, 30333, 201377}},
-{15933, 18, 42374, {1, 1, 3, 13, 5, 57, 99, 125, 371, 903, 2001, 285, 2005, 8475, 31617, 58265, 641, 115507}},
-{15934, 18, 42398, {1, 3, 5, 9, 11, 17, 123, 67, 77, 803, 815, 3173, 4795, 11917, 1187, 32389, 102289, 248359}},
-{15935, 18, 42411, {1, 1, 5, 5, 27, 19, 59, 145, 361, 821, 33, 1465, 7643, 11101, 145, 21705, 55105, 181245}},
-{15936, 18, 42443, {1, 3, 7, 5, 15, 55, 127, 133, 157, 989, 1211, 3573, 4021, 2967, 2941, 38657, 97681, 114505}},
-{15937, 18, 42446, {1, 1, 7, 7, 23, 17, 39, 209, 117, 195, 931, 5, 7509, 9187, 6011, 10297, 13727, 258007}},
-{15938, 18, 42463, {1, 3, 1, 13, 3, 17, 105, 69, 9, 163, 1615, 241, 5207, 13173, 28521, 51417, 130645, 106787}},
-{15939, 18, 42479, {1, 1, 7, 13, 15, 3, 5, 187, 5, 239, 1799, 3083, 7801, 12781, 24817, 59341, 73867, 175273}},
-{15940, 18, 42482, {1, 1, 3, 11, 11, 1, 89, 17, 497, 217, 1565, 2933, 6449, 7687, 6561, 57903, 92751, 261371}},
-{15941, 18, 42484, {1, 1, 1, 1, 15, 39, 47, 249, 39, 765, 249, 2785, 4401, 16033, 11463, 127, 120109, 83133}},
-{15942, 18, 42498, {1, 1, 3, 3, 19, 59, 47, 153, 505, 1009, 413, 1177, 5999, 6841, 12013, 40295, 115641, 189241}},
-{15943, 18, 42534, {1, 3, 3, 11, 17, 51, 45, 101, 459, 971, 1133, 3467, 4945, 12445, 1267, 41783, 66825, 130167}},
-{15944, 18, 42537, {1, 3, 1, 7, 17, 45, 77, 211, 387, 23, 1903, 2309, 2681, 6897, 6959, 30981, 113537, 207415}},
-{15945, 18, 42557, {1, 1, 3, 1, 19, 9, 103, 89, 461, 881, 71, 2019, 6475, 13563, 18835, 2375, 34807, 1373}},
-{15946, 18, 42570, {1, 1, 7, 11, 3, 31, 125, 121, 43, 737, 1995, 3043, 811, 8883, 8169, 22131, 29295, 194963}},
-{15947, 18, 42599, {1, 3, 7, 11, 7, 45, 125, 149, 427, 187, 1361, 2405, 2815, 8877, 15255, 36867, 95517, 261969}},
-{15948, 18, 42600, {1, 1, 7, 11, 9, 29, 89, 175, 467, 997, 937, 3869, 7843, 12629, 8701, 60717, 30443, 193427}},
-{15949, 18, 42633, {1, 1, 5, 7, 3, 3, 57, 199, 315, 477, 189, 2029, 2059, 3473, 27411, 30419, 26465, 187807}},
-{15950, 18, 42639, {1, 3, 1, 15, 3, 3, 11, 55, 233, 603, 1749, 1737, 5709, 4559, 13427, 39137, 44885, 61611}},
-{15951, 18, 42672, {1, 1, 7, 1, 25, 15, 61, 199, 107, 737, 909, 3229, 1799, 5129, 27655, 45937, 919, 36161}},
-{15952, 18, 42681, {1, 1, 3, 5, 31, 27, 99, 247, 425, 689, 1335, 1661, 625, 15817, 22601, 33293, 113927, 261931}},
-{15953, 18, 42687, {1, 1, 1, 9, 5, 57, 117, 121, 465, 859, 335, 879, 665, 12787, 21313, 46387, 16437, 53769}},
-{15954, 18, 42704, {1, 1, 3, 1, 11, 11, 75, 145, 307, 621, 833, 235, 3907, 11331, 6633, 51905, 72581, 129613}},
-{15955, 18, 42713, {1, 1, 3, 13, 17, 13, 81, 125, 377, 499, 1597, 3437, 4323, 789, 23825, 46609, 105997, 159709}},
-{15956, 18, 42714, {1, 3, 3, 9, 5, 29, 113, 51, 23, 957, 1981, 3205, 2549, 9771, 2555, 44289, 103893, 170241}},
-{15957, 18, 42716, {1, 1, 5, 15, 13, 17, 101, 67, 71, 7, 185, 3775, 5399, 5213, 13095, 26045, 59467, 95547}},
-{15958, 18, 42726, {1, 1, 5, 5, 31, 11, 77, 169, 3, 1007, 1853, 2245, 509, 13489, 2807, 55227, 67541, 242835}},
-{15959, 18, 42730, {1, 3, 7, 15, 11, 63, 39, 97, 1, 219, 1827, 2343, 6009, 4909, 4327, 21853, 46079, 87719}},
-{15960, 18, 42737, {1, 3, 1, 9, 17, 51, 119, 93, 179, 607, 1051, 2381, 619, 11215, 10839, 44771, 20555, 12721}},
-{15961, 18, 42752, {1, 3, 3, 5, 21, 47, 35, 133, 61, 937, 1561, 1655, 6527, 5085, 4141, 60811, 59971, 6309}},
-{15962, 18, 42757, {1, 3, 1, 7, 5, 63, 7, 235, 489, 675, 945, 943, 7107, 6005, 32695, 27655, 113219, 132963}},
-{15963, 18, 42772, {1, 1, 1, 7, 7, 5, 81, 237, 365, 1, 811, 3075, 1771, 5223, 7337, 24601, 68383, 156975}},
-{15964, 18, 42809, {1, 3, 1, 15, 5, 35, 39, 91, 301, 387, 805, 3537, 737, 7453, 4655, 16349, 108261, 123697}},
-{15965, 18, 42853, {1, 3, 5, 3, 9, 59, 95, 187, 155, 183, 589, 2107, 967, 1095, 4875, 46131, 100699, 212797}},
-{15966, 18, 42857, {1, 3, 1, 7, 27, 29, 77, 133, 397, 445, 933, 1483, 5027, 12569, 22163, 58989, 16657, 195347}},
-{15967, 18, 42902, {1, 3, 5, 15, 21, 51, 97, 135, 165, 311, 525, 171, 4785, 7947, 14649, 40837, 58875, 222303}},
-{15968, 18, 42912, {1, 3, 3, 5, 23, 47, 41, 23, 321, 709, 1555, 1139, 3775, 11617, 13001, 18235, 51803, 197863}},
-{15969, 18, 42930, {1, 3, 5, 3, 3, 41, 91, 157, 29, 1005, 945, 3471, 2563, 8493, 24961, 44759, 103079, 50841}},
-{15970, 18, 42936, {1, 1, 5, 11, 23, 19, 91, 115, 165, 291, 1653, 1061, 1067, 6171, 18441, 26067, 3569, 117329}},
-{15971, 18, 42956, {1, 3, 7, 15, 17, 19, 89, 23, 103, 389, 623, 1071, 203, 9545, 21259, 36155, 55395, 141741}},
-{15972, 18, 42959, {1, 3, 5, 11, 27, 43, 31, 193, 55, 489, 353, 1615, 7461, 13977, 31901, 64051, 82667, 258825}},
-{15973, 18, 42978, {1, 1, 3, 7, 5, 39, 7, 245, 241, 843, 1545, 3499, 8117, 15057, 14153, 2665, 107401, 66059}},
-{15974, 18, 43001, {1, 3, 5, 11, 9, 11, 41, 171, 255, 153, 1973, 759, 51, 15601, 327, 25889, 110861, 20555}},
-{15975, 18, 43011, {1, 3, 5, 7, 5, 15, 41, 77, 87, 143, 1141, 3975, 2675, 7131, 5549, 52397, 42073, 27585}},
-{15976, 18, 43047, {1, 1, 3, 7, 29, 5, 79, 243, 359, 817, 1053, 3509, 3347, 6207, 5147, 31063, 116851, 132627}},
-{15977, 18, 43059, {1, 3, 7, 3, 27, 51, 39, 7, 95, 239, 263, 3497, 867, 1869, 16773, 46947, 59193, 37523}},
-{15978, 18, 43094, {1, 3, 1, 1, 25, 31, 113, 127, 187, 77, 675, 3307, 999, 12255, 26441, 30933, 122761, 116783}},
-{15979, 18, 43124, {1, 1, 5, 7, 7, 11, 87, 59, 437, 485, 685, 3159, 7259, 16271, 24899, 17919, 130271, 52953}},
-{15980, 18, 43218, {1, 1, 3, 11, 7, 13, 61, 157, 149, 1001, 285, 3631, 1923, 16013, 19507, 64447, 8073, 261171}},
-{15981, 18, 43220, {1, 3, 7, 9, 7, 13, 45, 7, 225, 671, 287, 1059, 5223, 2077, 7551, 58385, 92955, 162725}},
-{15982, 18, 43240, {1, 1, 5, 11, 11, 21, 17, 145, 97, 633, 475, 2639, 2069, 9663, 23633, 50949, 109941, 119865}},
-{15983, 18, 43258, {1, 1, 5, 13, 9, 49, 127, 171, 199, 413, 1315, 645, 305, 12123, 9559, 38319, 99945, 103313}},
-{15984, 18, 43263, {1, 3, 5, 3, 19, 21, 119, 17, 301, 611, 1785, 2081, 2245, 8761, 4755, 9507, 23133, 144575}},
-{15985, 18, 43265, {1, 3, 7, 11, 17, 25, 101, 59, 397, 249, 687, 715, 1151, 15941, 20525, 5171, 24073, 46257}},
-{15986, 18, 43290, {1, 1, 3, 15, 11, 45, 9, 201, 421, 867, 389, 3615, 5965, 10561, 18309, 17143, 52771, 230743}},
-{15987, 18, 43346, {1, 1, 3, 5, 9, 1, 109, 233, 431, 849, 421, 475, 1331, 9903, 20649, 34759, 118611, 38541}},
-{15988, 18, 43364, {1, 3, 5, 15, 9, 55, 113, 217, 83, 409, 1449, 2325, 4825, 11311, 14565, 65075, 124399, 3591}},
-{15989, 18, 43373, {1, 3, 3, 9, 27, 13, 101, 181, 255, 313, 693, 951, 1153, 13941, 14097, 8325, 4589, 102883}},
-{15990, 18, 43401, {1, 3, 7, 3, 3, 1, 43, 65, 321, 623, 1389, 57, 3461, 9965, 6743, 34843, 91673, 249573}},
-{15991, 18, 43416, {1, 3, 5, 5, 11, 29, 101, 79, 275, 685, 569, 59, 6921, 16065, 30625, 53339, 32283, 93401}},
-{15992, 18, 43443, {1, 3, 1, 11, 29, 33, 103, 145, 431, 289, 1845, 1915, 23, 699, 5475, 18413, 127185, 162637}},
-{15993, 18, 43458, {1, 3, 1, 11, 27, 23, 71, 63, 45, 579, 1187, 1189, 1781, 5595, 9043, 10155, 33321, 36487}},
-{15994, 18, 43497, {1, 3, 3, 15, 17, 19, 85, 233, 293, 833, 1711, 857, 7573, 393, 23141, 58713, 21399, 228381}},
-{15995, 18, 43506, {1, 3, 3, 15, 3, 35, 33, 35, 403, 123, 575, 3509, 6303, 13203, 17997, 15649, 64331, 124101}},
-{15996, 18, 43545, {1, 1, 3, 9, 23, 25, 39, 53, 119, 879, 573, 3225, 5069, 15489, 21887, 11773, 37783, 169523}},
-{15997, 18, 43558, {1, 3, 5, 5, 5, 25, 29, 189, 145, 863, 661, 3939, 1059, 11993, 1487, 3157, 118287, 69835}},
-{15998, 18, 43576, {1, 3, 7, 3, 15, 9, 85, 107, 17, 965, 1097, 2087, 1947, 14649, 4099, 50941, 64511, 209153}},
-{15999, 18, 43579, {1, 3, 5, 15, 19, 21, 127, 71, 429, 97, 1989, 835, 743, 11973, 14635, 45371, 114657, 208085}},
-{16000, 18, 43624, {1, 3, 5, 7, 23, 61, 99, 133, 235, 237, 435, 2681, 331, 7859, 20859, 3573, 102901, 775}},
-{16001, 18, 43630, {1, 3, 3, 9, 7, 57, 29, 15, 53, 569, 871, 1703, 2573, 10791, 719, 3487, 105709, 89573}},
-{16002, 18, 43637, {1, 1, 1, 9, 7, 21, 21, 207, 459, 621, 737, 635, 5101, 4343, 4961, 32067, 64017, 73675}},
-{16003, 18, 43654, {1, 1, 3, 9, 25, 27, 77, 69, 251, 327, 921, 3759, 1715, 14537, 21399, 10937, 9085, 241329}},
-{16004, 18, 43660, {1, 1, 5, 1, 23, 13, 63, 117, 81, 427, 1063, 1987, 2433, 14837, 13473, 28623, 44799, 202223}},
-{16005, 18, 43696, {1, 3, 1, 11, 17, 55, 89, 89, 455, 255, 1009, 1891, 2197, 9045, 23543, 48783, 22871, 58613}},
-{16006, 18, 43706, {1, 3, 7, 15, 25, 5, 11, 71, 399, 23, 239, 93, 6681, 11311, 23403, 58131, 59549, 38917}},
-{16007, 18, 43725, {1, 1, 1, 1, 19, 63, 73, 31, 69, 145, 921, 2475, 3505, 4797, 23805, 28621, 101153, 98895}},
-{16008, 18, 43733, {1, 3, 3, 3, 9, 1, 113, 111, 275, 851, 519, 1607, 635, 13287, 6191, 24545, 112039, 114383}},
-{16009, 18, 43753, {1, 3, 7, 9, 13, 13, 107, 97, 37, 133, 21, 1059, 4201, 6777, 2843, 43503, 23761, 13247}},
-{16010, 18, 43756, {1, 1, 7, 9, 25, 23, 101, 135, 471, 901, 539, 4083, 1765, 15553, 5879, 10787, 67543, 104543}},
-{16011, 18, 43761, {1, 3, 3, 13, 25, 63, 1, 49, 287, 357, 1701, 3689, 3895, 16313, 22619, 20203, 8195, 93127}},
-{16012, 18, 43768, {1, 1, 1, 11, 15, 37, 75, 43, 311, 443, 1639, 549, 4707, 3099, 677, 59115, 11709, 71013}},
-{16013, 18, 43812, {1, 1, 5, 11, 17, 43, 23, 21, 421, 613, 199, 1029, 5255, 271, 12911, 63431, 108889, 253379}},
-{16014, 18, 43822, {1, 3, 7, 11, 27, 45, 9, 89, 65, 25, 1183, 3497, 8123, 2389, 215, 16819, 63777, 163423}},
-{16015, 18, 43841, {1, 1, 5, 5, 29, 43, 65, 201, 391, 861, 1133, 3985, 983, 13039, 15545, 13695, 91467, 963}},
-{16016, 18, 43861, {1, 3, 7, 3, 9, 55, 73, 205, 287, 765, 941, 353, 7379, 2511, 555, 64399, 77605, 121959}},
-{16017, 18, 43868, {1, 3, 1, 11, 25, 15, 109, 35, 351, 675, 1219, 3791, 233, 15133, 30733, 24477, 86077, 85857}},
-{16018, 18, 43877, {1, 1, 1, 7, 13, 33, 63, 45, 503, 525, 781, 517, 2187, 1587, 17297, 26147, 35421, 61269}},
-{16019, 18, 43878, {1, 3, 1, 9, 9, 35, 69, 79, 447, 675, 803, 2793, 5793, 4433, 29227, 5437, 103347, 37713}},
-{16020, 18, 43908, {1, 3, 1, 9, 27, 31, 65, 167, 327, 231, 1959, 657, 3141, 8659, 11055, 23923, 73597, 187139}},
-{16021, 18, 43917, {1, 1, 5, 9, 29, 5, 37, 3, 281, 693, 133, 2139, 5867, 12073, 23669, 11427, 80627, 249003}},
-{16022, 18, 43936, {1, 1, 1, 13, 9, 35, 89, 203, 381, 281, 535, 1061, 7417, 13373, 12149, 37943, 113133, 110797}},
-{16023, 18, 43954, {1, 1, 7, 5, 7, 17, 71, 65, 385, 851, 1357, 3435, 4441, 6999, 27065, 32753, 129531, 52447}},
-{16024, 18, 43963, {1, 3, 7, 1, 3, 21, 25, 113, 361, 219, 1345, 2193, 5711, 3331, 14343, 23075, 39955, 71223}},
-{16025, 18, 43977, {1, 1, 7, 9, 15, 9, 101, 183, 59, 861, 931, 3385, 6517, 12067, 7753, 37997, 128361, 4591}},
-{16026, 18, 44008, {1, 3, 5, 3, 23, 5, 37, 217, 203, 749, 993, 2537, 2425, 13949, 17235, 15461, 21275, 141815}},
-{16027, 18, 44013, {1, 3, 5, 1, 19, 59, 63, 241, 211, 285, 2033, 1111, 2859, 14801, 9491, 14557, 12973, 223089}},
-{16028, 18, 44026, {1, 1, 1, 11, 15, 41, 57, 59, 233, 897, 1193, 381, 2237, 5309, 19237, 57607, 97941, 116573}},
-{16029, 18, 44028, {1, 1, 3, 9, 15, 17, 75, 15, 385, 129, 495, 887, 4933, 15113, 7449, 56213, 15841, 248029}},
-{16030, 18, 44045, {1, 3, 1, 1, 29, 37, 19, 221, 47, 185, 1105, 3297, 5235, 6917, 12041, 10815, 54747, 132329}},
-{16031, 18, 44046, {1, 3, 1, 5, 3, 17, 33, 35, 395, 491, 1157, 2563, 6257, 1025, 18295, 5293, 77851, 140157}},
-{16032, 18, 44053, {1, 3, 1, 13, 7, 31, 95, 21, 347, 409, 1485, 925, 327, 11497, 7305, 6503, 111175, 70989}},
-{16033, 18, 44091, {1, 3, 3, 1, 11, 41, 127, 93, 367, 649, 1585, 3379, 7269, 5537, 26077, 28541, 55379, 22989}},
-{16034, 18, 44101, {1, 1, 1, 5, 27, 11, 35, 49, 7, 113, 1477, 3615, 7567, 505, 13915, 51023, 50783, 45031}},
-{16035, 18, 44129, {1, 1, 7, 5, 25, 1, 35, 59, 269, 427, 791, 3179, 1423, 9801, 17717, 23631, 97947, 126861}},
-{16036, 18, 44139, {1, 3, 5, 7, 1, 51, 77, 97, 19, 287, 303, 791, 307, 4939, 13615, 61225, 98127, 114693}},
-{16037, 18, 44172, {1, 3, 3, 15, 5, 5, 93, 119, 429, 977, 1763, 3727, 1761, 3597, 16489, 71, 44103, 257929}},
-{16038, 18, 44203, {1, 1, 5, 1, 15, 29, 79, 33, 335, 381, 1233, 47, 6741, 4953, 29689, 11223, 129185, 182487}},
-{16039, 18, 44211, {1, 1, 1, 11, 29, 27, 27, 189, 507, 523, 1949, 2567, 4105, 1227, 16631, 34187, 28521, 265}},
-{16040, 18, 44240, {1, 3, 3, 7, 3, 7, 39, 155, 315, 439, 1953, 1227, 6135, 16291, 453, 50929, 67507, 166981}},
-{16041, 18, 44259, {1, 3, 1, 5, 7, 55, 121, 119, 87, 869, 1049, 575, 3675, 13505, 15661, 43899, 106877, 141691}},
-{16042, 18, 44305, {1, 3, 1, 11, 23, 9, 117, 243, 329, 767, 335, 2951, 2887, 13441, 27579, 15437, 31699, 165177}},
-{16043, 18, 44383, {1, 3, 7, 11, 5, 49, 47, 125, 431, 511, 299, 3215, 3287, 7029, 9737, 28317, 34355, 232365}},
-{16044, 18, 44384, {1, 3, 7, 3, 17, 9, 29, 255, 509, 393, 1583, 1979, 6735, 941, 4393, 35741, 82019, 109633}},
-{16045, 18, 44389, {1, 1, 5, 1, 13, 31, 95, 133, 117, 257, 993, 1513, 4669, 12239, 7841, 751, 79567, 23289}},
-{16046, 18, 44390, {1, 1, 7, 9, 25, 33, 127, 181, 61, 333, 1087, 1661, 2715, 2569, 30041, 4937, 36053, 3435}},
-{16047, 18, 44432, {1, 3, 1, 13, 15, 27, 123, 73, 377, 85, 435, 3435, 2079, 9271, 28685, 30089, 38799, 210247}},
-{16048, 18, 44435, {1, 1, 5, 3, 5, 17, 93, 181, 313, 837, 1115, 3099, 3603, 3483, 23185, 9933, 53127, 123245}},
-{16049, 18, 44468, {1, 1, 1, 13, 3, 57, 11, 67, 41, 273, 1005, 2313, 505, 6593, 27287, 47359, 104597, 45475}},
-{16050, 18, 44472, {1, 1, 1, 5, 13, 41, 97, 251, 317, 483, 163, 1493, 6629, 11995, 31293, 4715, 98569, 178419}},
-{16051, 18, 44483, {1, 3, 5, 5, 21, 7, 69, 169, 223, 953, 1573, 1137, 8075, 7733, 23031, 14589, 6453, 228883}},
-{16052, 18, 44497, {1, 1, 7, 9, 27, 37, 3, 183, 41, 99, 111, 1713, 1291, 8263, 6373, 39549, 3099, 156793}},
-{16053, 18, 44550, {1, 1, 3, 1, 23, 43, 15, 27, 223, 173, 1601, 2159, 3595, 15143, 31065, 35799, 77339, 141397}},
-{16054, 18, 44577, {1, 1, 5, 13, 9, 35, 27, 93, 23, 999, 593, 563, 5333, 8825, 27277, 46381, 3171, 6311}},
-{16055, 18, 44584, {1, 3, 7, 15, 25, 17, 7, 237, 379, 649, 1879, 2643, 5951, 4227, 4937, 24549, 43577, 116327}},
-{16056, 18, 44601, {1, 1, 3, 9, 29, 35, 101, 105, 19, 151, 1135, 897, 2427, 15779, 31851, 29183, 44471, 187817}},
-{16057, 18, 44674, {1, 3, 7, 11, 9, 55, 19, 115, 395, 559, 1883, 409, 2459, 201, 18975, 339, 108251, 19429}},
-{16058, 18, 44683, {1, 3, 1, 13, 1, 11, 67, 45, 407, 169, 1401, 381, 3913, 6491, 28133, 63857, 52095, 115749}},
-{16059, 18, 44688, {1, 1, 1, 11, 21, 45, 65, 253, 511, 51, 893, 3533, 2101, 4779, 23941, 22449, 82457, 44447}},
-{16060, 18, 44694, {1, 1, 7, 11, 19, 33, 101, 241, 493, 111, 1967, 469, 6575, 10445, 733, 56467, 27403, 25863}},
-{16061, 18, 44703, {1, 3, 1, 1, 5, 49, 21, 79, 53, 621, 43, 1183, 1385, 9129, 21727, 35559, 35269, 211383}},
-{16062, 18, 44713, {1, 1, 1, 13, 23, 43, 53, 145, 149, 611, 745, 899, 7095, 3243, 1993, 35807, 110783, 246199}},
-{16063, 18, 44721, {1, 1, 7, 9, 25, 37, 71, 233, 407, 1, 1749, 759, 7689, 15573, 7351, 33505, 22631, 49125}},
-{16064, 18, 44722, {1, 3, 1, 13, 31, 49, 105, 13, 257, 843, 1171, 2819, 621, 12567, 24339, 6689, 127413, 249671}},
-{16065, 18, 44733, {1, 1, 5, 11, 5, 1, 93, 21, 317, 789, 571, 2493, 7255, 6459, 14737, 13989, 47003, 246561}},
-{16066, 18, 44746, {1, 3, 5, 7, 9, 11, 69, 143, 175, 581, 825, 2219, 1165, 9061, 6073, 57169, 18135, 94943}},
-{16067, 18, 44748, {1, 1, 5, 7, 7, 55, 121, 107, 395, 939, 1291, 2497, 3757, 1361, 31823, 19375, 22551, 224653}},
-{16068, 18, 44760, {1, 1, 7, 15, 15, 1, 47, 225, 223, 589, 1539, 173, 6257, 5461, 11197, 9801, 80687, 84279}},
-{16069, 18, 44765, {1, 3, 7, 11, 23, 47, 83, 119, 367, 895, 431, 1949, 565, 1397, 24911, 29661, 67861, 74621}},
-{16070, 18, 44766, {1, 3, 3, 9, 17, 29, 15, 65, 157, 255, 303, 1467, 3279, 8873, 31279, 431, 8497, 7209}},
-{16071, 18, 44775, {1, 1, 5, 13, 9, 39, 85, 133, 427, 897, 1665, 2109, 2865, 15573, 27729, 59905, 2241, 83099}},
-{16072, 18, 44794, {1, 3, 1, 13, 1, 45, 65, 65, 249, 79, 1515, 503, 953, 9859, 13307, 27419, 102209, 107529}},
-{16073, 18, 44822, {1, 3, 7, 9, 17, 13, 79, 93, 231, 5, 1811, 557, 1837, 8077, 8109, 3497, 79985, 134375}},
-{16074, 18, 44841, {1, 1, 5, 9, 15, 3, 23, 27, 491, 9, 1657, 3877, 3783, 12645, 2599, 10673, 40035, 197681}},
-{16075, 18, 44859, {1, 1, 5, 3, 5, 13, 121, 145, 291, 621, 1731, 145, 2033, 341, 3667, 4139, 52035, 115865}},
-{16076, 18, 44894, {1, 3, 5, 5, 3, 29, 115, 227, 339, 23, 1659, 2367, 1079, 10757, 30709, 41473, 55847, 228761}},
-{16077, 18, 44900, {1, 3, 5, 7, 7, 61, 103, 57, 197, 31, 237, 2507, 5247, 10529, 13823, 47845, 129031, 47029}},
-{16078, 18, 44904, {1, 3, 7, 5, 3, 17, 91, 31, 277, 977, 1905, 3991, 3657, 12197, 14535, 43263, 109629, 31665}},
-{16079, 18, 44946, {1, 1, 5, 15, 29, 43, 121, 113, 159, 929, 669, 2067, 4999, 6847, 12369, 61795, 98525, 78051}},
-{16080, 18, 44967, {1, 1, 3, 7, 25, 61, 65, 79, 373, 683, 113, 1495, 5447, 15507, 16731, 53959, 62905, 252173}},
-{16081, 18, 44994, {1, 3, 1, 11, 1, 15, 101, 55, 477, 357, 333, 3243, 3325, 5885, 11385, 685, 90575, 23015}},
-{16082, 18, 44999, {1, 3, 1, 7, 15, 13, 91, 141, 209, 865, 2035, 2791, 367, 9953, 29547, 36731, 13649, 192911}},
-{16083, 18, 45013, {1, 1, 5, 15, 9, 59, 37, 131, 3, 299, 897, 119, 7515, 5271, 2207, 18187, 62613, 210345}},
-{16084, 18, 45017, {1, 3, 1, 7, 29, 53, 95, 185, 327, 473, 1525, 3751, 915, 5883, 4137, 46343, 104917, 182895}},
-{16085, 18, 45020, {1, 1, 7, 3, 31, 57, 53, 169, 215, 607, 541, 1081, 5265, 2509, 28379, 41767, 19435, 143693}},
-{16086, 18, 45027, {1, 1, 7, 7, 31, 57, 19, 203, 467, 57, 1305, 1513, 6069, 15595, 31717, 44687, 65335, 159315}},
-{16087, 18, 45029, {1, 1, 1, 1, 13, 1, 41, 39, 489, 465, 1645, 2847, 6193, 11025, 11297, 55945, 92085, 243061}},
-{16088, 18, 45066, {1, 3, 3, 13, 15, 47, 87, 77, 321, 903, 181, 2093, 1673, 5375, 17969, 48467, 83441, 120867}},
-{16089, 18, 45074, {1, 3, 3, 13, 13, 17, 65, 181, 283, 471, 745, 1091, 7255, 5987, 29423, 27579, 96201, 218157}},
-{16090, 18, 45080, {1, 1, 1, 7, 13, 5, 101, 131, 309, 401, 99, 2353, 55, 2377, 6059, 64777, 33401, 225605}},
-{16091, 18, 45090, {1, 3, 1, 15, 9, 35, 37, 197, 65, 593, 411, 2233, 1485, 9599, 9581, 31935, 115145, 76867}},
-{16092, 18, 45101, {1, 3, 7, 9, 3, 41, 103, 237, 453, 335, 1831, 3947, 7573, 3859, 12495, 60617, 20715, 163119}},
-{16093, 18, 45110, {1, 3, 5, 7, 9, 9, 25, 79, 421, 267, 585, 1093, 2237, 8881, 7311, 39417, 110901, 8969}},
-{16094, 18, 45113, {1, 3, 3, 15, 1, 29, 75, 159, 89, 965, 457, 1645, 1485, 729, 30547, 2275, 79633, 126089}},
-{16095, 18, 45134, {1, 3, 7, 7, 19, 47, 55, 115, 287, 477, 719, 3311, 2455, 12033, 13811, 34011, 45153, 126991}},
-{16096, 18, 45136, {1, 3, 7, 5, 9, 33, 27, 215, 7, 113, 1027, 415, 1057, 13011, 1547, 7955, 21347, 79427}},
-{16097, 18, 45148, {1, 3, 1, 11, 1, 41, 27, 29, 255, 763, 219, 897, 915, 453, 9417, 22845, 31655, 228869}},
-{16098, 18, 45158, {1, 1, 7, 13, 7, 49, 105, 111, 53, 219, 171, 841, 5027, 5311, 28171, 58719, 32241, 170921}},
-{16099, 18, 45176, {1, 3, 5, 7, 21, 53, 11, 169, 45, 429, 1727, 1953, 8119, 14955, 19997, 62665, 31345, 135715}},
-{16100, 18, 45181, {1, 1, 5, 13, 17, 13, 125, 247, 411, 663, 1725, 2515, 7995, 8963, 5797, 32871, 66603, 137997}},
-{16101, 18, 45185, {1, 1, 5, 5, 23, 37, 15, 63, 35, 817, 463, 1413, 1203, 8031, 4169, 45755, 93511, 134751}},
-{16102, 18, 45188, {1, 1, 1, 1, 31, 17, 15, 125, 199, 57, 1499, 1567, 6113, 6503, 515, 57841, 49885, 213881}},
-{16103, 18, 45203, {1, 1, 7, 7, 15, 1, 67, 213, 197, 471, 577, 27, 1533, 13009, 31861, 62435, 113139, 77057}},
-{16104, 18, 45209, {1, 3, 7, 1, 29, 21, 99, 173, 137, 19, 1727, 1157, 5215, 4367, 28803, 26031, 120195, 60111}},
-{16105, 18, 45231, {1, 1, 5, 9, 25, 55, 27, 45, 231, 693, 765, 429, 2897, 6045, 19705, 61903, 5385, 172967}},
-{16106, 18, 45234, {1, 3, 1, 5, 9, 17, 35, 151, 91, 41, 89, 3751, 27, 5721, 26117, 6105, 31609, 79569}},
-{16107, 18, 45239, {1, 3, 5, 11, 15, 3, 25, 73, 383, 765, 729, 51, 4245, 6215, 9435, 45223, 68071, 68453}},
-{16108, 18, 45246, {1, 1, 7, 5, 31, 61, 19, 153, 331, 233, 11, 3047, 3939, 11959, 897, 4437, 2941, 174493}},
-{16109, 18, 45260, {1, 1, 7, 11, 27, 11, 83, 33, 7, 761, 805, 2327, 2997, 12269, 18707, 10615, 114357, 54951}},
-{16110, 18, 45284, {1, 3, 5, 9, 3, 45, 65, 193, 347, 771, 663, 2901, 6467, 14109, 5169, 38021, 39605, 216877}},
-{16111, 18, 45301, {1, 1, 7, 1, 1, 13, 109, 179, 499, 325, 1763, 1923, 7429, 259, 20589, 48473, 49605, 124709}},
-{16112, 18, 45333, {1, 3, 1, 3, 5, 27, 25, 127, 313, 541, 589, 751, 5959, 5801, 32467, 40597, 75625, 24827}},
-{16113, 18, 45350, {1, 1, 1, 3, 13, 35, 71, 223, 281, 767, 447, 1253, 2227, 7305, 23125, 62847, 16783, 76145}},
-{16114, 18, 45354, {1, 1, 5, 5, 11, 1, 95, 215, 351, 915, 1471, 143, 4011, 3373, 19019, 31797, 85891, 33871}},
-{16115, 18, 45446, {1, 1, 3, 9, 15, 39, 125, 29, 85, 625, 1155, 753, 6679, 14239, 14597, 32715, 97313, 162291}},
-{16116, 18, 45458, {1, 1, 1, 7, 13, 47, 127, 69, 199, 145, 123, 3207, 7673, 9991, 27501, 29189, 93027, 136881}},
-{16117, 18, 45518, {1, 3, 1, 15, 9, 21, 121, 23, 457, 315, 437, 1919, 5531, 13817, 8883, 4421, 19487, 88591}},
-{16118, 18, 45566, {1, 3, 1, 9, 15, 49, 101, 27, 11, 283, 1277, 971, 7697, 5915, 12709, 38251, 88165, 261609}},
-{16119, 18, 45569, {1, 1, 3, 9, 17, 19, 53, 131, 327, 917, 603, 2451, 3597, 14731, 9223, 29719, 113507, 69875}},
-{16120, 18, 45575, {1, 1, 5, 7, 1, 3, 77, 71, 149, 901, 283, 1599, 1053, 16305, 9937, 20907, 4133, 29623}},
-{16121, 18, 45576, {1, 1, 3, 9, 25, 63, 101, 255, 397, 233, 1111, 1583, 3431, 5245, 30209, 33201, 63859, 16551}},
-{16122, 18, 45587, {1, 1, 7, 5, 19, 25, 9, 137, 105, 363, 867, 811, 5829, 12595, 18867, 61021, 19425, 99399}},
-{16123, 18, 45615, {1, 1, 3, 7, 11, 1, 119, 95, 367, 239, 1677, 67, 283, 5701, 3635, 26917, 112895, 224049}},
-{16124, 18, 45661, {1, 3, 5, 11, 13, 33, 11, 191, 305, 551, 159, 1953, 4231, 811, 8711, 41291, 110917, 176177}},
-{16125, 18, 45798, {1, 3, 5, 9, 15, 3, 27, 29, 77, 881, 849, 1113, 7151, 3433, 11199, 38409, 98173, 21373}},
-{16126, 18, 45829, {1, 1, 5, 13, 25, 57, 81, 169, 215, 379, 1707, 493, 1071, 4869, 19149, 24585, 61803, 149305}},
-{16127, 18, 45847, {1, 1, 5, 11, 13, 11, 9, 45, 207, 347, 1203, 185, 3919, 3119, 27879, 50793, 18499, 109239}},
-{16128, 18, 45858, {1, 1, 1, 5, 3, 23, 123, 175, 445, 439, 215, 1883, 6857, 14837, 29411, 33633, 96241, 68361}},
-{16129, 18, 45864, {1, 1, 5, 7, 31, 53, 19, 41, 477, 203, 1133, 1471, 5067, 3875, 30655, 9207, 24835, 22019}},
-{16130, 18, 45899, {1, 3, 1, 11, 19, 9, 91, 217, 135, 169, 489, 727, 5471, 2125, 20867, 19689, 78859, 222433}},
-{16131, 18, 45904, {1, 1, 1, 13, 5, 37, 37, 39, 397, 527, 789, 1447, 7123, 6099, 16849, 48895, 95543, 56135}},
-{16132, 18, 45919, {1, 3, 7, 7, 15, 31, 81, 165, 31, 867, 1879, 1161, 3651, 5167, 12855, 60195, 85611, 191791}},
-{16133, 18, 45974, {1, 1, 1, 9, 31, 35, 19, 123, 281, 445, 63, 2683, 7073, 1489, 9791, 40125, 43723, 103765}},
-{16134, 18, 45987, {1, 3, 3, 9, 23, 31, 113, 241, 149, 463, 1047, 3737, 8105, 16295, 4565, 8095, 16617, 87455}},
-{16135, 18, 45989, {1, 3, 5, 15, 1, 47, 29, 77, 27, 1013, 1091, 3657, 835, 563, 7139, 58839, 92697, 114523}},
-{16136, 18, 46008, {1, 3, 1, 1, 5, 49, 87, 251, 473, 583, 2033, 809, 5341, 15835, 691, 57133, 75751, 127717}},
-{16137, 18, 46036, {1, 3, 1, 11, 23, 51, 95, 167, 73, 739, 573, 1113, 7585, 5457, 25767, 5583, 29583, 48263}},
-{16138, 18, 46039, {1, 1, 3, 5, 9, 59, 1, 235, 17, 973, 1987, 3629, 1739, 6419, 29943, 44963, 63943, 18571}},
-{16139, 18, 46043, {1, 3, 7, 11, 9, 37, 25, 253, 307, 411, 891, 1977, 6979, 11287, 12619, 50327, 25831, 135673}},
-{16140, 18, 46045, {1, 1, 5, 15, 23, 27, 83, 157, 253, 559, 1989, 2431, 4821, 6617, 4295, 16143, 249, 109855}},
-{16141, 18, 46079, {1, 1, 3, 9, 31, 59, 117, 139, 379, 703, 49, 3013, 6383, 4019, 7289, 4567, 34931, 224967}},
-{16142, 18, 46084, {1, 1, 1, 3, 3, 33, 49, 127, 177, 417, 723, 3259, 1547, 3297, 19733, 59465, 122179, 13209}},
-{16143, 18, 46091, {1, 3, 3, 1, 3, 61, 23, 177, 77, 579, 1739, 2707, 5319, 13291, 10223, 45395, 62797, 124675}},
-{16144, 18, 46105, {1, 1, 3, 15, 25, 47, 79, 111, 245, 853, 1103, 3741, 5783, 2075, 26371, 28801, 117831, 111735}},
-{16145, 18, 46117, {1, 1, 5, 11, 3, 47, 43, 61, 75, 963, 1507, 3491, 6031, 14171, 32557, 23779, 44815, 168409}},
-{16146, 18, 46141, {1, 3, 3, 7, 21, 39, 61, 109, 13, 833, 373, 4021, 4035, 7987, 18957, 10423, 82823, 8763}},
-{16147, 18, 46147, {1, 1, 7, 3, 3, 33, 113, 77, 447, 127, 213, 1605, 3873, 12345, 7847, 63903, 80665, 6647}},
-{16148, 18, 46162, {1, 3, 1, 5, 25, 11, 49, 233, 377, 791, 43, 195, 393, 1403, 27567, 29673, 11327, 190513}},
-{16149, 18, 46184, {1, 3, 1, 15, 21, 3, 21, 169, 221, 495, 1045, 3715, 4923, 2437, 23203, 59905, 70285, 258455}},
-{16150, 18, 46197, {1, 1, 7, 13, 29, 33, 91, 153, 31, 359, 25, 3947, 1699, 4081, 20907, 24953, 64977, 88115}},
-{16151, 18, 46207, {1, 1, 5, 11, 17, 7, 17, 129, 91, 835, 139, 3823, 1827, 6787, 27367, 26801, 61513, 189677}},
-{16152, 18, 46214, {1, 3, 3, 9, 23, 21, 97, 103, 481, 859, 413, 893, 4021, 8111, 23703, 18791, 102735, 82735}},
-{16153, 18, 46218, {1, 1, 1, 7, 11, 53, 61, 3, 347, 633, 191, 3605, 41, 12605, 14381, 60403, 126223, 186157}},
-{16154, 18, 46237, {1, 3, 5, 1, 11, 33, 61, 235, 245, 623, 2019, 3289, 5761, 15557, 1685, 2173, 104825, 245139}},
-{16155, 18, 46247, {1, 1, 3, 7, 19, 55, 75, 219, 11, 75, 1765, 1833, 263, 6605, 26297, 24969, 17721, 109495}},
-{16156, 18, 46251, {1, 1, 7, 5, 7, 33, 23, 109, 207, 137, 385, 3233, 6765, 3517, 31389, 57049, 25645, 176257}},
-{16157, 18, 46327, {1, 1, 5, 5, 27, 63, 65, 23, 93, 721, 1665, 3805, 3611, 7543, 21119, 38565, 99921, 72773}},
-{16158, 18, 46333, {1, 1, 1, 13, 13, 19, 23, 5, 425, 727, 1469, 1261, 6597, 725, 27129, 36953, 25781, 191581}},
-{16159, 18, 46342, {1, 3, 3, 1, 3, 29, 25, 109, 237, 135, 409, 2239, 5033, 11007, 31861, 55171, 76313, 216271}},
-{16160, 18, 46366, {1, 3, 7, 13, 31, 33, 11, 31, 179, 67, 755, 2513, 37, 12863, 24053, 12315, 45009, 166643}},
-{16161, 18, 46376, {1, 1, 5, 13, 13, 37, 19, 223, 409, 387, 139, 3283, 243, 15573, 24173, 63271, 91561, 168665}},
-{16162, 18, 46384, {1, 3, 5, 7, 17, 25, 63, 231, 23, 965, 1873, 1021, 7927, 11127, 19553, 9883, 83009, 258991}},
-{16163, 18, 46404, {1, 3, 1, 7, 17, 21, 71, 65, 165, 845, 1739, 2395, 5959, 14803, 17333, 59003, 36477, 202511}},
-{16164, 18, 46478, {1, 3, 5, 13, 15, 57, 59, 205, 507, 41, 703, 195, 4373, 4023, 13399, 62061, 43645, 204899}},
-{16165, 18, 46511, {1, 3, 5, 11, 13, 13, 43, 19, 497, 599, 1345, 2001, 407, 2731, 16283, 55161, 130887, 189201}},
-{16166, 18, 46540, {1, 1, 7, 5, 13, 3, 105, 83, 235, 363, 869, 1715, 4031, 3419, 15149, 10627, 47787, 226107}},
-{16167, 18, 46638, {1, 3, 3, 3, 9, 49, 99, 161, 413, 739, 195, 2815, 1157, 9069, 15591, 4509, 30765, 184013}},
-{16168, 18, 46700, {1, 3, 7, 5, 25, 63, 23, 91, 507, 647, 1249, 2035, 4341, 8811, 8345, 49463, 69023, 195775}},
-{16169, 18, 46706, {1, 3, 5, 5, 5, 21, 117, 1, 321, 495, 251, 1961, 8043, 6593, 11017, 6167, 56607, 144009}},
-{16170, 18, 46745, {1, 1, 3, 3, 15, 63, 41, 177, 403, 375, 1771, 3, 7481, 4887, 799, 59283, 106319, 32155}},
-{16171, 18, 46757, {1, 1, 1, 7, 19, 57, 97, 91, 489, 561, 335, 3809, 3167, 8879, 1789, 22329, 58851, 84461}},
-{16172, 18, 46772, {1, 3, 3, 11, 3, 23, 79, 25, 187, 497, 1343, 543, 4495, 14599, 29365, 14795, 26341, 26923}},
-{16173, 18, 46776, {1, 3, 1, 13, 21, 35, 9, 227, 423, 761, 439, 3099, 5167, 12955, 12877, 5591, 123511, 74227}},
-{16174, 18, 46790, {1, 1, 3, 7, 1, 49, 115, 95, 481, 659, 183, 2337, 39, 235, 30869, 10223, 59673, 65293}},
-{16175, 18, 46794, {1, 1, 1, 13, 11, 29, 113, 37, 153, 993, 1195, 1695, 4741, 13671, 29097, 65023, 78281, 156235}},
-{16176, 18, 46804, {1, 3, 5, 11, 19, 17, 47, 243, 273, 679, 393, 4059, 705, 12473, 1867, 13783, 86821, 240545}},
-{16177, 18, 46820, {1, 3, 1, 11, 23, 35, 15, 31, 275, 261, 427, 909, 7925, 4737, 22825, 34859, 28593, 20071}},
-{16178, 18, 46849, {1, 3, 1, 1, 13, 1, 115, 115, 103, 63, 1023, 815, 7007, 6063, 13329, 28051, 29807, 109861}},
-{16179, 18, 46870, {1, 1, 1, 11, 19, 57, 49, 169, 33, 59, 579, 2409, 89, 9655, 18091, 57771, 34509, 175991}},
-{16180, 18, 46876, {1, 1, 5, 9, 27, 19, 41, 217, 313, 359, 1745, 3887, 589, 3103, 10087, 30615, 56793, 102515}},
-{16181, 18, 46903, {1, 3, 7, 11, 25, 43, 101, 245, 67, 1003, 1379, 2141, 8025, 15231, 20705, 45513, 82251, 147295}},
-{16182, 18, 46904, {1, 3, 5, 5, 5, 47, 19, 33, 107, 773, 627, 4077, 5829, 6483, 25791, 35079, 103073, 201657}},
-{16183, 18, 46907, {1, 1, 5, 15, 1, 37, 115, 15, 61, 987, 1029, 2125, 5357, 10233, 14907, 12077, 92143, 207301}},
-{16184, 18, 46932, {1, 1, 7, 7, 3, 15, 95, 3, 393, 535, 819, 743, 3613, 11459, 2269, 17083, 65547, 74813}},
-{16185, 18, 46955, {1, 1, 7, 5, 11, 27, 117, 65, 55, 87, 105, 3219, 1587, 383, 25349, 54561, 11935, 101203}},
-{16186, 18, 46963, {1, 1, 5, 15, 23, 53, 37, 149, 191, 963, 1407, 4091, 1647, 9537, 30247, 23501, 123745, 76301}},
-{16187, 18, 46991, {1, 3, 1, 1, 21, 31, 11, 107, 55, 823, 805, 141, 7177, 15883, 3307, 52245, 115171, 260589}},
-{16188, 18, 47029, {1, 3, 7, 13, 25, 15, 5, 221, 347, 83, 51, 1227, 4591, 851, 10173, 37777, 82441, 175219}},
-{16189, 18, 47036, {1, 1, 7, 15, 17, 41, 121, 215, 111, 999, 367, 1961, 3207, 10145, 10395, 24381, 95937, 12693}},
-{16190, 18, 47054, {1, 1, 1, 11, 23, 27, 117, 255, 87, 519, 599, 3471, 3983, 2797, 13477, 56479, 27321, 101585}},
-{16191, 18, 47099, {1, 1, 5, 9, 1, 3, 35, 15, 457, 209, 141, 1295, 1631, 9745, 30247, 44865, 78113, 13207}},
-{16192, 18, 47106, {1, 3, 3, 1, 27, 63, 29, 31, 277, 173, 1321, 3847, 4127, 8713, 10507, 8697, 97025, 105995}},
-{16193, 18, 47132, {1, 1, 5, 13, 13, 47, 33, 69, 113, 369, 539, 4075, 1013, 9733, 9291, 33377, 130567, 238331}},
-{16194, 18, 47145, {1, 3, 7, 13, 15, 15, 125, 219, 205, 763, 1233, 1911, 7733, 7623, 27305, 6067, 16169, 238805}},
-{16195, 18, 47151, {1, 3, 1, 9, 23, 17, 35, 175, 157, 627, 1045, 1791, 1675, 11699, 2151, 28293, 14529, 30523}},
-{16196, 18, 47156, {1, 1, 5, 9, 5, 1, 23, 151, 295, 949, 371, 3317, 2557, 5815, 9699, 48379, 104561, 103747}},
-{16197, 18, 47171, {1, 3, 5, 5, 11, 57, 125, 247, 29, 257, 979, 2437, 4391, 8229, 11231, 30145, 111165, 92347}},
-{16198, 18, 47188, {1, 1, 3, 3, 27, 17, 71, 71, 357, 367, 1213, 2549, 6049, 15299, 2891, 21839, 109889, 34643}},
-{16199, 18, 47201, {1, 1, 1, 11, 7, 21, 41, 77, 249, 567, 1947, 2989, 875, 12975, 23599, 49313, 67213, 98415}},
-{16200, 18, 47219, {1, 1, 7, 7, 27, 51, 103, 221, 295, 247, 1579, 2435, 67, 3087, 9421, 59573, 111143, 42363}},
-{16201, 18, 47226, {1, 1, 1, 13, 27, 27, 75, 33, 81, 841, 1295, 2823, 997, 16329, 6117, 43361, 63727, 113347}},
-{16202, 18, 47241, {1, 1, 1, 3, 19, 7, 43, 93, 397, 293, 803, 3021, 3915, 1417, 22255, 38529, 53737, 133705}},
-{16203, 18, 47252, {1, 3, 3, 13, 1, 33, 1, 235, 255, 345, 1621, 315, 2685, 6451, 7133, 239, 103075, 175033}},
-{16204, 18, 47261, {1, 3, 1, 11, 29, 47, 61, 115, 395, 633, 1913, 2983, 4581, 3729, 22511, 16479, 80607, 232859}},
-{16205, 18, 47295, {1, 3, 7, 7, 27, 25, 29, 121, 511, 533, 1791, 3349, 4915, 8213, 13913, 6595, 2353, 207495}},
-{16206, 18, 47297, {1, 3, 7, 5, 21, 25, 77, 189, 473, 1015, 1455, 1923, 3281, 15163, 2329, 58529, 55369, 195007}},
-{16207, 18, 47333, {1, 3, 1, 1, 25, 37, 117, 41, 207, 413, 143, 1707, 7463, 15399, 3013, 4141, 37669, 70953}},
-{16208, 18, 47337, {1, 3, 5, 3, 31, 61, 41, 157, 141, 387, 1705, 1661, 3607, 6905, 3305, 63235, 7977, 253707}},
-{16209, 18, 47360, {1, 1, 5, 11, 29, 15, 61, 127, 417, 795, 171, 415, 7935, 4553, 29979, 21153, 108811, 219959}},
-{16210, 18, 47377, {1, 1, 5, 11, 17, 61, 3, 9, 297, 53, 933, 341, 507, 2683, 15313, 24113, 78617, 191127}},
-{16211, 18, 47378, {1, 1, 7, 15, 5, 57, 65, 187, 15, 541, 1843, 731, 7331, 2479, 26259, 32685, 125259, 108693}},
-{16212, 18, 47384, {1, 1, 7, 7, 11, 15, 33, 183, 225, 609, 1755, 3531, 2767, 6267, 30823, 36797, 59699, 136769}},
-{16213, 18, 47389, {1, 3, 5, 13, 15, 19, 77, 239, 307, 691, 1165, 1327, 7901, 9299, 7777, 39151, 96261, 79791}},
-{16214, 18, 47417, {1, 1, 3, 5, 29, 31, 85, 109, 381, 243, 955, 193, 3461, 5163, 18607, 51143, 74457, 84685}},
-{16215, 18, 47420, {1, 1, 5, 9, 11, 23, 77, 247, 149, 759, 1153, 1781, 4107, 16315, 15513, 48545, 55607, 163947}},
-{16216, 18, 47426, {1, 3, 3, 5, 21, 27, 57, 61, 75, 943, 97, 1507, 4091, 671, 23023, 49095, 61649, 222401}},
-{16217, 18, 47443, {1, 1, 3, 13, 1, 3, 15, 105, 285, 255, 577, 1347, 2917, 10257, 21607, 63041, 79823, 6447}},
-{16218, 18, 47504, {1, 1, 3, 1, 17, 25, 109, 47, 445, 225, 1729, 2835, 4569, 8755, 21847, 25839, 43503, 173599}},
-{16219, 18, 47507, {1, 1, 5, 15, 19, 1, 121, 119, 33, 77, 1147, 359, 5747, 2785, 15567, 5409, 125979, 199183}},
-{16220, 18, 47510, {1, 3, 1, 9, 17, 45, 85, 83, 427, 223, 531, 1681, 2343, 14959, 27297, 54607, 70889, 45529}},
-{16221, 18, 47526, {1, 1, 5, 11, 31, 61, 109, 195, 505, 197, 159, 2799, 4517, 11549, 10297, 17415, 58277, 206577}},
-{16222, 18, 47550, {1, 1, 3, 5, 17, 43, 107, 207, 453, 161, 1775, 1287, 5775, 12417, 14201, 48187, 75073, 121099}},
-{16223, 18, 47552, {1, 1, 5, 7, 31, 27, 67, 251, 127, 443, 263, 895, 8081, 14053, 32023, 54743, 14723, 221285}},
-{16224, 18, 47557, {1, 3, 3, 13, 27, 45, 51, 47, 243, 15, 1283, 2291, 3613, 14733, 8777, 3959, 36769, 104789}},
-{16225, 18, 47564, {1, 3, 5, 1, 5, 31, 1, 139, 411, 79, 959, 1431, 2329, 3595, 19231, 55747, 18923, 223709}},
-{16226, 18, 47591, {1, 3, 1, 1, 7, 9, 69, 201, 305, 411, 459, 3201, 2525, 6977, 16249, 17777, 114321, 243831}},
-{16227, 18, 47610, {1, 3, 3, 5, 13, 7, 3, 27, 201, 279, 1253, 1725, 1481, 8885, 1233, 40699, 7267, 189095}},
-{16228, 18, 47621, {1, 3, 5, 5, 31, 61, 53, 231, 93, 597, 2027, 2179, 4517, 565, 27807, 5447, 130341, 10411}},
-{16229, 18, 47639, {1, 1, 7, 1, 9, 17, 63, 245, 405, 23, 1647, 285, 6625, 8935, 959, 29095, 657, 185511}},
-{16230, 18, 47646, {1, 1, 7, 7, 5, 15, 49, 69, 479, 585, 437, 1097, 5933, 1709, 26169, 36895, 16981, 147033}},
-{16231, 18, 47676, {1, 3, 7, 13, 29, 19, 89, 249, 195, 687, 379, 1291, 4791, 9039, 6381, 12965, 99995, 105107}},
-{16232, 18, 47682, {1, 1, 5, 7, 13, 49, 101, 217, 205, 635, 577, 3301, 911, 1793, 22285, 20163, 22593, 45701}},
-{16233, 18, 47732, {1, 3, 7, 9, 3, 21, 55, 123, 205, 309, 59, 3739, 1625, 839, 26733, 27443, 6699, 244287}},
-{16234, 18, 47741, {1, 1, 1, 11, 29, 3, 33, 57, 481, 691, 1401, 3595, 5435, 571, 6945, 10911, 94721, 89751}},
-{16235, 18, 47751, {1, 1, 3, 5, 21, 19, 23, 169, 263, 137, 771, 1995, 2211, 6287, 18691, 14219, 65647, 89885}},
-{16236, 18, 47757, {1, 1, 3, 7, 7, 53, 9, 155, 327, 325, 301, 3703, 1069, 15573, 14873, 15665, 71617, 5079}},
-{16237, 18, 47786, {1, 3, 1, 3, 27, 15, 1, 203, 465, 629, 71, 1093, 2071, 7743, 22441, 42997, 35249, 113329}},
-{16238, 18, 47803, {1, 3, 5, 3, 21, 35, 107, 73, 247, 575, 719, 3215, 3181, 5861, 25169, 6503, 12347, 196371}},
-{16239, 18, 47828, {1, 3, 1, 3, 7, 29, 117, 115, 221, 345, 165, 1367, 1491, 15791, 12647, 34679, 1043, 219311}},
-{16240, 18, 47848, {1, 3, 5, 7, 19, 47, 65, 65, 101, 323, 1209, 3185, 3803, 1077, 18933, 17081, 7475, 165133}},
-{16241, 18, 47853, {1, 1, 7, 1, 25, 9, 61, 245, 175, 201, 1837, 2119, 943, 14043, 14343, 46299, 81151, 5587}},
-{16242, 18, 47856, {1, 1, 1, 1, 31, 27, 49, 89, 387, 975, 1203, 2995, 2969, 1465, 925, 39611, 38101, 126043}},
-{16243, 18, 47862, {1, 3, 7, 13, 21, 17, 45, 139, 359, 11, 335, 79, 6629, 6137, 7879, 62735, 99493, 138943}},
-{16244, 18, 47874, {1, 3, 5, 5, 9, 23, 91, 195, 89, 195, 1931, 3855, 387, 3491, 29643, 59939, 32347, 171539}},
-{16245, 18, 47883, {1, 3, 3, 15, 21, 55, 5, 13, 139, 125, 1731, 3131, 1927, 16051, 8351, 18625, 32465, 255813}},
-{16246, 18, 47916, {1, 3, 7, 11, 21, 45, 53, 225, 33, 733, 115, 639, 4801, 5529, 11041, 3557, 83521, 37525}},
-{16247, 18, 47934, {1, 3, 7, 15, 3, 37, 111, 127, 463, 565, 543, 2593, 2203, 5719, 11667, 63735, 16481, 155613}},
-{16248, 18, 47951, {1, 1, 3, 13, 31, 1, 17, 53, 479, 629, 1517, 89, 3377, 4831, 9213, 55029, 69547, 52363}},
-{16249, 18, 47979, {1, 1, 7, 1, 5, 47, 115, 73, 59, 407, 1227, 2955, 5249, 7921, 4713, 28699, 41455, 1161}},
-{16250, 18, 48010, {1, 1, 7, 7, 5, 7, 39, 7, 97, 867, 247, 639, 3125, 14961, 19737, 52589, 59821, 96095}},
-{16251, 18, 48027, {1, 1, 7, 5, 11, 51, 63, 245, 385, 1003, 189, 4039, 6137, 3621, 13241, 55753, 14855, 50221}},
-{16252, 18, 48046, {1, 3, 5, 3, 9, 61, 83, 209, 301, 917, 259, 187, 6253, 1579, 28285, 16571, 100945, 158067}},
-{16253, 18, 48060, {1, 3, 5, 11, 5, 47, 123, 173, 253, 183, 1823, 459, 4719, 13639, 8455, 12217, 88779, 134863}},
-{16254, 18, 48065, {1, 1, 1, 5, 1, 45, 43, 163, 371, 427, 1791, 1073, 1615, 14473, 15895, 4971, 105269, 109201}},
-{16255, 18, 48075, {1, 3, 1, 15, 11, 9, 99, 99, 25, 21, 1499, 83, 6967, 12923, 13623, 27423, 4707, 477}},
-{16256, 18, 48096, {1, 1, 3, 5, 15, 49, 45, 27, 51, 391, 1849, 347, 6841, 2831, 4425, 40701, 61135, 116945}},
-{16257, 18, 48119, {1, 1, 3, 7, 21, 23, 15, 223, 403, 395, 1997, 3247, 6345, 11739, 6511, 44323, 86667, 213287}},
-{16258, 18, 48173, {1, 3, 7, 11, 31, 21, 75, 129, 427, 777, 1787, 4031, 1493, 2279, 10681, 36675, 25527, 123533}},
-{16259, 18, 48176, {1, 3, 5, 15, 9, 5, 117, 147, 259, 265, 1817, 583, 5341, 12115, 2369, 4023, 123479, 218877}},
-{16260, 18, 48186, {1, 1, 1, 15, 5, 21, 87, 57, 487, 529, 1129, 2989, 39, 5995, 28779, 35813, 97425, 5227}},
-{16261, 18, 48213, {1, 1, 7, 3, 7, 1, 41, 231, 195, 205, 1663, 3149, 4439, 8241, 3085, 43965, 58833, 216779}},
-{16262, 18, 48223, {1, 1, 3, 1, 23, 45, 65, 3, 55, 653, 131, 2425, 5653, 9105, 16921, 55221, 29241, 220927}},
-{16263, 18, 48224, {1, 3, 1, 3, 5, 47, 107, 49, 175, 957, 1287, 1299, 5215, 4141, 31697, 9371, 43339, 133933}},
-{16264, 18, 48229, {1, 3, 1, 7, 13, 55, 33, 163, 361, 793, 101, 2159, 3457, 12893, 11627, 27115, 95201, 2945}},
-{16265, 18, 48241, {1, 1, 7, 15, 11, 39, 79, 113, 385, 41, 1715, 3887, 1347, 8141, 6121, 18653, 50867, 55745}},
-{16266, 18, 48281, {1, 1, 7, 13, 3, 5, 23, 59, 223, 665, 1823, 2989, 1069, 15161, 8917, 5539, 47437, 240933}},
-{16267, 18, 48284, {1, 3, 7, 13, 13, 19, 73, 25, 413, 211, 439, 339, 1159, 16063, 9589, 33451, 28789, 118883}},
-{16268, 18, 48291, {1, 1, 5, 11, 13, 61, 81, 63, 197, 569, 961, 253, 2065, 8969, 24045, 52811, 26929, 111329}},
-{16269, 18, 48308, {1, 3, 7, 5, 19, 23, 27, 163, 37, 103, 1737, 175, 1853, 597, 14147, 46159, 26385, 69427}},
-{16270, 18, 48340, {1, 3, 7, 9, 27, 43, 45, 209, 61, 115, 645, 1149, 1473, 10557, 8541, 51703, 29207, 92059}},
-{16271, 18, 48344, {1, 1, 5, 5, 25, 53, 123, 243, 493, 403, 485, 1505, 6879, 1921, 13569, 28271, 24407, 73057}},
-{16272, 18, 48368, {1, 1, 3, 11, 15, 31, 99, 29, 503, 819, 55, 773, 2993, 15341, 7625, 12835, 28555, 200609}},
-{16273, 18, 48400, {1, 1, 7, 9, 21, 49, 47, 207, 13, 571, 57, 1727, 7441, 1703, 4253, 64851, 113, 180273}},
-{16274, 18, 48406, {1, 3, 3, 9, 23, 1, 1, 53, 195, 569, 925, 1969, 3031, 14371, 17673, 39163, 11819, 117573}},
-{16275, 18, 48409, {1, 1, 1, 11, 5, 3, 103, 133, 447, 1015, 1049, 3283, 7507, 233, 13721, 50721, 75511, 227561}},
-{16276, 18, 48421, {1, 3, 1, 1, 17, 59, 79, 105, 503, 173, 1575, 1563, 5807, 12841, 7983, 28209, 27527, 229919}},
-{16277, 18, 48448, {1, 1, 3, 9, 3, 41, 125, 213, 361, 939, 161, 2235, 2575, 13519, 7957, 21527, 40693, 51055}},
-{16278, 18, 48453, {1, 3, 7, 11, 11, 7, 117, 21, 7, 745, 1109, 3393, 953, 5163, 19909, 49121, 85061, 209555}},
-{16279, 18, 48457, {1, 1, 7, 5, 27, 59, 127, 199, 119, 461, 653, 497, 5867, 767, 16373, 21201, 87589, 171491}},
-{16280, 18, 48478, {1, 1, 7, 11, 7, 21, 121, 97, 17, 827, 1191, 113, 6527, 14977, 32567, 15191, 104541, 140359}},
-{16281, 18, 48493, {1, 1, 7, 13, 19, 29, 127, 207, 233, 511, 43, 3177, 7963, 5559, 24185, 13373, 37853, 150537}},
-{16282, 18, 48527, {1, 3, 3, 9, 15, 17, 119, 201, 443, 51, 17, 605, 4191, 5251, 28903, 4861, 92571, 143499}},
-{16283, 18, 48583, {1, 1, 5, 11, 21, 45, 111, 245, 115, 705, 1267, 3013, 7907, 14973, 30499, 44117, 118229, 136571}},
-{16284, 18, 48597, {1, 3, 7, 7, 31, 35, 69, 143, 269, 27, 1365, 775, 6067, 11477, 28475, 54573, 92827, 226459}},
-{16285, 18, 48641, {1, 1, 5, 1, 1, 29, 41, 189, 423, 245, 1031, 1667, 3465, 1491, 26787, 53851, 26189, 215443}},
-{16286, 18, 48668, {1, 3, 3, 5, 23, 29, 97, 141, 135, 249, 767, 3627, 7867, 9311, 25411, 38325, 118643, 128453}},
-{16287, 18, 48671, {1, 3, 7, 13, 3, 25, 61, 121, 285, 401, 1099, 2327, 5509, 16127, 2363, 52395, 114233, 216013}},
-{16288, 18, 48682, {1, 1, 1, 13, 7, 37, 83, 151, 447, 605, 289, 2941, 6273, 5945, 7493, 29805, 34935, 101177}},
-{16289, 18, 48709, {1, 1, 7, 13, 31, 51, 125, 9, 321, 293, 489, 4023, 2425, 7645, 2927, 20973, 111223, 71255}},
-{16290, 18, 48719, {1, 1, 7, 3, 27, 9, 59, 143, 307, 543, 1995, 111, 5807, 4641, 3581, 2421, 64213, 187567}},
-{16291, 18, 48731, {1, 3, 3, 9, 23, 33, 47, 81, 441, 995, 213, 3501, 1003, 9885, 24101, 58767, 49507, 30525}},
-{16292, 18, 48780, {1, 3, 1, 3, 19, 51, 117, 53, 49, 167, 1799, 1421, 2473, 3183, 14421, 58621, 130703, 48095}},
-{16293, 18, 48791, {1, 1, 7, 7, 5, 25, 33, 237, 447, 377, 517, 2047, 4357, 2747, 16491, 23935, 21655, 144151}},
-{16294, 18, 48797, {1, 1, 7, 7, 17, 5, 57, 67, 89, 897, 1163, 3517, 1651, 6745, 23449, 2853, 43829, 50707}},
-{16295, 18, 48807, {1, 1, 1, 13, 5, 45, 87, 139, 339, 1021, 649, 2957, 7887, 11957, 11235, 11063, 77329, 93121}},
-{16296, 18, 48811, {1, 1, 1, 7, 11, 35, 73, 241, 11, 287, 551, 207, 4701, 2031, 27191, 44337, 35577, 226387}},
-{16297, 18, 48814, {1, 3, 5, 11, 19, 3, 41, 211, 29, 913, 1455, 2525, 3935, 5581, 8043, 12033, 97479, 73521}},
-{16298, 18, 48821, {1, 3, 5, 7, 15, 49, 53, 185, 229, 161, 121, 3407, 903, 7257, 19535, 42197, 3983, 222077}},
-{16299, 18, 48836, {1, 1, 5, 7, 17, 33, 61, 121, 343, 111, 151, 1147, 3743, 2423, 24151, 42307, 50711, 140317}},
-{16300, 18, 48846, {1, 3, 3, 7, 27, 1, 119, 209, 243, 185, 1253, 2307, 7659, 7839, 9697, 16799, 5189, 130005}},
-{16301, 18, 48848, {1, 3, 3, 1, 27, 21, 115, 175, 157, 735, 1233, 1133, 1763, 1125, 4667, 42569, 125185, 218417}},
-{16302, 18, 48854, {1, 3, 5, 9, 5, 37, 97, 165, 87, 447, 1491, 3141, 597, 10651, 9727, 65163, 2469, 141859}},
-{16303, 18, 48874, {1, 1, 5, 13, 11, 53, 111, 123, 423, 413, 1519, 3715, 6623, 15415, 24085, 20925, 1529, 85183}},
-{16304, 18, 48908, {1, 3, 7, 1, 31, 45, 93, 45, 363, 779, 443, 3687, 6051, 11683, 31733, 57251, 55087, 240877}},
-{16305, 18, 48929, {1, 1, 1, 15, 1, 17, 53, 237, 131, 673, 1919, 1531, 7455, 5043, 1709, 23375, 75657, 194393}},
-{16306, 18, 48941, {1, 3, 5, 9, 21, 3, 101, 141, 387, 887, 1329, 2627, 2865, 2685, 20273, 18901, 43805, 181049}},
-{16307, 18, 48954, {1, 3, 5, 5, 7, 49, 55, 243, 311, 653, 959, 3157, 4891, 8777, 14381, 28105, 119323, 181129}},
-{16308, 18, 48961, {1, 1, 1, 9, 17, 33, 97, 123, 71, 5, 793, 2829, 4385, 8577, 9927, 26213, 53287, 203555}},
-{16309, 18, 48962, {1, 1, 1, 9, 15, 61, 51, 31, 195, 1003, 1915, 2349, 5319, 13411, 15265, 36321, 76157, 200437}},
-{16310, 18, 48985, {1, 3, 1, 13, 19, 41, 11, 227, 447, 395, 1885, 2953, 3537, 3855, 21611, 14547, 106573, 233205}},
-{16311, 18, 49001, {1, 3, 1, 11, 1, 1, 7, 61, 69, 631, 1687, 1131, 6901, 5801, 14431, 17807, 35777, 253941}},
-{16312, 18, 49007, {1, 3, 5, 9, 15, 47, 71, 145, 419, 401, 1781, 2031, 3157, 14483, 2393, 4061, 122053, 81701}},
-{16313, 18, 49015, {1, 3, 7, 13, 23, 21, 67, 147, 137, 277, 259, 3119, 4785, 5349, 3193, 21805, 108265, 231111}},
-{16314, 18, 49035, {1, 1, 3, 9, 23, 63, 77, 153, 75, 643, 1341, 3607, 6001, 3387, 17485, 17893, 124699, 99515}},
-{16315, 18, 49062, {1, 1, 7, 11, 9, 51, 79, 255, 255, 723, 1797, 2805, 2505, 3437, 4835, 30731, 73741, 8051}},
-{16316, 18, 49066, {1, 1, 5, 7, 5, 19, 73, 75, 19, 889, 1443, 2263, 5773, 9997, 329, 46679, 82313, 130897}},
-{16317, 18, 49085, {1, 3, 3, 9, 7, 53, 69, 11, 287, 861, 1367, 1433, 2693, 16255, 6785, 24705, 77463, 231247}},
-{16318, 18, 49091, {1, 1, 3, 7, 21, 15, 115, 131, 169, 447, 1731, 2873, 119, 643, 31719, 22193, 17959, 150567}},
-{16319, 18, 49094, {1, 3, 3, 9, 23, 21, 7, 39, 185, 837, 379, 3687, 3751, 14801, 15231, 7239, 77521, 80135}},
-{16320, 18, 49127, {1, 1, 1, 1, 7, 33, 93, 247, 487, 873, 1951, 3273, 551, 3735, 29477, 62387, 30361, 145613}},
-{16321, 18, 49134, {1, 1, 3, 7, 5, 47, 17, 31, 93, 517, 1175, 1033, 7421, 75, 541, 1967, 13059, 104751}},
-{16322, 18, 49183, {1, 3, 5, 3, 19, 23, 123, 115, 99, 747, 655, 2885, 2991, 7497, 5989, 33419, 54363, 224947}},
-{16323, 18, 49221, {1, 3, 3, 1, 15, 9, 51, 3, 307, 879, 1065, 1835, 2267, 11299, 21995, 2997, 102207, 39}},
-{16324, 18, 49231, {1, 3, 5, 3, 9, 19, 19, 79, 499, 121, 951, 1151, 379, 5299, 13727, 49061, 32605, 208683}},
-{16325, 18, 49250, {1, 3, 7, 7, 23, 41, 71, 23, 493, 969, 271, 3729, 6199, 14693, 17625, 52509, 121257, 151175}},
-{16326, 18, 49252, {1, 1, 7, 15, 9, 51, 61, 9, 147, 527, 803, 3255, 723, 3241, 23961, 17497, 122569, 50863}},
-{16327, 18, 49270, {1, 3, 5, 1, 19, 19, 31, 31, 95, 667, 377, 1193, 6759, 8583, 29801, 7989, 113899, 43481}},
-{16328, 18, 49297, {1, 3, 7, 5, 17, 47, 1, 7, 305, 489, 1035, 1335, 5901, 9635, 10433, 4235, 108577, 52661}},
-{16329, 18, 49313, {1, 1, 7, 3, 15, 7, 105, 189, 429, 287, 679, 111, 2087, 8479, 3053, 21763, 65655, 16207}},
-{16330, 18, 49340, {1, 3, 5, 13, 19, 41, 45, 115, 311, 653, 1301, 3797, 6183, 7203, 9829, 13263, 71649, 255611}},
-{16331, 18, 49365, {1, 3, 1, 9, 21, 33, 19, 233, 83, 423, 1701, 347, 3999, 11885, 19699, 61931, 63895, 59615}},
-{16332, 18, 49379, {1, 1, 7, 7, 15, 19, 61, 43, 183, 223, 1135, 3099, 3137, 16181, 31019, 20151, 30169, 13125}},
-{16333, 18, 49386, {1, 1, 1, 11, 9, 11, 3, 157, 495, 207, 603, 1919, 3565, 7639, 4281, 49179, 2465, 224033}},
-{16334, 18, 49391, {1, 3, 1, 13, 13, 19, 127, 81, 475, 659, 1053, 3153, 5223, 12567, 30945, 47109, 98253, 41571}},
-{16335, 18, 49417, {1, 1, 5, 11, 19, 1, 9, 67, 501, 149, 1695, 1265, 6467, 5285, 29865, 46777, 97581, 209395}},
-{16336, 18, 49438, {1, 1, 1, 11, 21, 23, 123, 103, 419, 787, 111, 3327, 673, 3425, 8097, 2411, 107353, 121379}},
-{16337, 18, 49444, {1, 1, 3, 3, 17, 7, 87, 35, 501, 973, 351, 751, 4813, 12245, 3053, 38633, 44995, 37151}},
-{16338, 18, 49453, {1, 3, 5, 15, 7, 57, 99, 53, 3, 355, 153, 3897, 6923, 2075, 10821, 41819, 75665, 21237}},
-{16339, 18, 49454, {1, 3, 5, 9, 3, 29, 85, 115, 191, 977, 1067, 1539, 5287, 3589, 18017, 35571, 41633, 148565}},
-{16340, 18, 49480, {1, 1, 3, 9, 9, 57, 1, 63, 333, 107, 1173, 3377, 3599, 277, 20643, 19295, 91169, 168891}},
-{16341, 18, 49485, {1, 1, 5, 13, 21, 7, 55, 15, 79, 995, 1553, 949, 6357, 8137, 9539, 861, 95635, 63021}},
-{16342, 18, 49498, {1, 1, 5, 13, 31, 59, 11, 55, 159, 449, 307, 2725, 2305, 8259, 13823, 51225, 44775, 54253}},
-{16343, 18, 49513, {1, 3, 3, 15, 19, 61, 105, 19, 211, 693, 835, 3607, 3703, 14007, 24597, 47109, 49855, 166115}},
-{16344, 18, 49527, {1, 3, 1, 9, 27, 33, 81, 229, 445, 171, 247, 2019, 5227, 8759, 30155, 1851, 26909, 47145}},
-{16345, 18, 49531, {1, 1, 3, 5, 23, 1, 57, 49, 177, 451, 1283, 3859, 4719, 13507, 29439, 9155, 129585, 94713}},
-{16346, 18, 49564, {1, 3, 3, 5, 1, 9, 37, 23, 423, 611, 113, 119, 4307, 11747, 93, 51213, 5479, 172061}},
-{16347, 18, 49588, {1, 3, 3, 15, 5, 35, 9, 43, 423, 877, 1563, 3411, 4233, 6961, 22421, 7347, 39553, 199745}},
-{16348, 18, 49609, {1, 3, 1, 9, 15, 35, 85, 57, 151, 323, 1627, 27, 3603, 11475, 6561, 6091, 72099, 185321}},
-{16349, 18, 49617, {1, 1, 3, 15, 17, 21, 3, 119, 455, 147, 1077, 3955, 1355, 3083, 28217, 50745, 114445, 46563}},
-{16350, 18, 49645, {1, 1, 5, 3, 13, 11, 35, 185, 357, 447, 649, 139, 2847, 12011, 7753, 671, 113693, 236281}},
-{16351, 18, 49646, {1, 3, 5, 1, 19, 27, 117, 195, 67, 259, 1073, 81, 5527, 6829, 26675, 60029, 8159, 13553}},
-{16352, 18, 49654, {1, 3, 3, 7, 27, 63, 115, 191, 431, 191, 1547, 2261, 6527, 13459, 12773, 37485, 114847, 61709}},
-{16353, 18, 49697, {1, 1, 3, 1, 29, 63, 47, 77, 415, 191, 325, 2487, 7457, 13721, 1573, 15037, 31941, 226651}},
-{16354, 18, 49718, {1, 1, 5, 11, 29, 59, 49, 209, 195, 901, 691, 3167, 7471, 11609, 30135, 22067, 71395, 248151}},
-{16355, 18, 49741, {1, 3, 7, 11, 7, 43, 55, 69, 289, 735, 1479, 139, 1395, 6463, 19827, 52151, 18963, 103367}},
-{16356, 18, 49754, {1, 3, 5, 5, 27, 45, 77, 79, 89, 79, 913, 1437, 3337, 8861, 5477, 46195, 105869, 242599}},
-{16357, 18, 49756, {1, 3, 5, 3, 3, 27, 103, 207, 233, 995, 1173, 1143, 3517, 3207, 8373, 45145, 79687, 150107}},
-{16358, 18, 49833, {1, 3, 7, 3, 7, 37, 1, 137, 45, 479, 861, 3863, 4249, 3075, 23639, 12531, 118473, 255805}},
-{16359, 18, 49834, {1, 1, 1, 9, 7, 23, 125, 57, 347, 215, 1749, 3029, 97, 14715, 16213, 29291, 104725, 92043}},
-{16360, 18, 49879, {1, 3, 3, 15, 31, 39, 111, 97, 369, 675, 1471, 3889, 6437, 1499, 13325, 46141, 121087, 202493}},
-{16361, 18, 49942, {1, 1, 1, 15, 15, 21, 3, 167, 251, 793, 1291, 427, 6407, 15521, 15441, 20071, 54513, 200485}},
-{16362, 18, 49946, {1, 1, 7, 11, 27, 47, 123, 195, 241, 385, 609, 2323, 1221, 815, 279, 28553, 17663, 180977}},
-{16363, 18, 49982, {1, 1, 3, 15, 23, 53, 21, 19, 329, 903, 561, 1539, 2829, 13037, 29867, 27825, 84005, 14853}},
-{16364, 18, 49994, {1, 1, 5, 1, 21, 27, 103, 99, 31, 829, 515, 3949, 3635, 935, 2127, 56659, 123477, 47003}},
-{16365, 18, 50001, {1, 3, 1, 11, 17, 63, 51, 15, 319, 539, 55, 2561, 1109, 16115, 23387, 20051, 120867, 4019}},
-{16366, 18, 50023, {1, 3, 3, 7, 31, 11, 45, 251, 209, 21, 553, 887, 393, 15183, 14735, 13163, 123681, 15013}},
-{16367, 18, 50047, {1, 3, 1, 7, 21, 41, 105, 39, 213, 477, 985, 2375, 937, 7099, 8867, 36519, 60503, 143225}},
-{16368, 18, 50120, {1, 3, 1, 1, 19, 55, 73, 171, 379, 271, 791, 2477, 5381, 1703, 3805, 37227, 55553, 34549}},
-{16369, 18, 50133, {1, 1, 5, 5, 29, 51, 127, 111, 209, 663, 975, 2293, 8155, 11263, 7891, 15463, 74889, 227403}},
-{16370, 18, 50137, {1, 3, 5, 1, 15, 1, 115, 221, 23, 247, 1597, 87, 7513, 3329, 14491, 8961, 78147, 89499}},
-{16371, 18, 50140, {1, 3, 5, 15, 25, 23, 99, 85, 189, 487, 1559, 427, 6179, 5291, 27279, 65507, 77347, 177073}},
-{16372, 18, 50156, {1, 3, 7, 1, 23, 35, 7, 89, 455, 659, 2039, 3115, 4057, 139, 1269, 62319, 13629, 201571}},
-{16373, 18, 50199, {1, 1, 1, 5, 9, 47, 55, 171, 213, 813, 135, 1545, 1421, 4055, 26697, 18889, 57653, 201369}},
-{16374, 18, 50205, {1, 3, 1, 11, 9, 45, 5, 69, 261, 907, 1229, 1371, 1867, 1771, 17309, 41759, 119129, 43521}},
-{16375, 18, 50215, {1, 1, 7, 5, 11, 27, 9, 237, 405, 53, 1359, 3665, 169, 3547, 23331, 14353, 106627, 219711}},
-{16376, 18, 50216, {1, 3, 3, 5, 17, 23, 9, 41, 81, 601, 1447, 3225, 6721, 161, 16109, 54331, 111273, 81061}},
-{16377, 18, 50224, {1, 1, 5, 7, 7, 37, 71, 13, 505, 671, 425, 2771, 1131, 1259, 13715, 45779, 114839, 217499}},
-{16378, 18, 50229, {1, 1, 1, 5, 9, 51, 85, 223, 117, 403, 1117, 723, 2465, 11947, 7495, 62991, 17825, 169147}},
-{16379, 18, 50233, {1, 1, 3, 13, 5, 57, 47, 35, 313, 901, 365, 1265, 137, 6335, 31419, 38497, 93285, 177187}},
-{16380, 18, 50251, {1, 3, 5, 5, 7, 9, 21, 109, 47, 557, 1449, 3459, 5175, 5135, 727, 55425, 60593, 86571}},
-{16381, 18, 50281, {1, 3, 7, 5, 1, 17, 119, 239, 347, 75, 1345, 2765, 1491, 16297, 25233, 60401, 85433, 59287}},
-{16382, 18, 50326, {1, 1, 5, 5, 19, 57, 41, 53, 161, 475, 1791, 3617, 1651, 15227, 30357, 63547, 69937, 246473}},
-{16383, 18, 50332, {1, 3, 7, 11, 11, 43, 79, 79, 195, 437, 39, 1259, 6041, 14989, 6615, 58747, 43583, 246979}},
-{16384, 18, 50348, {1, 1, 7, 9, 11, 13, 49, 133, 365, 931, 1089, 713, 5997, 8759, 5789, 61329, 22639, 149845}},
-{16385, 18, 50359, {1, 3, 7, 13, 9, 3, 11, 253, 339, 883, 1933, 443, 4265, 14165, 15845, 12625, 1453, 70961}},
-{16386, 18, 50374, {1, 1, 7, 13, 21, 35, 113, 83, 473, 719, 1601, 1727, 3715, 631, 28075, 17725, 11393, 116883}},
-{16387, 18, 50404, {1, 3, 7, 7, 7, 13, 117, 83, 365, 529, 1297, 3903, 2633, 9617, 15819, 38137, 49065, 189445}},
-{16388, 18, 50443, {1, 1, 1, 7, 11, 41, 107, 33, 381, 395, 1993, 2819, 3301, 7543, 6787, 27437, 113681, 132403}},
-{16389, 18, 50488, {1, 1, 1, 1, 3, 59, 91, 235, 67, 987, 1587, 1119, 5851, 13201, 1125, 49709, 381, 183295}},
-{16390, 18, 50493, {1, 3, 5, 9, 3, 33, 45, 187, 455, 151, 823, 565, 5725, 1927, 25387, 61785, 130271, 134083}},
-{16391, 18, 50505, {1, 1, 7, 5, 15, 25, 63, 231, 133, 401, 307, 2961, 4249, 2639, 10207, 8349, 8203, 72783}},
-{16392, 18, 50511, {1, 1, 5, 13, 19, 27, 43, 153, 165, 815, 1385, 3041, 853, 7683, 1035, 13255, 69779, 128765}},
-{16393, 18, 50525, {1, 1, 1, 3, 31, 61, 97, 15, 327, 717, 841, 643, 4781, 11609, 14181, 14625, 75369, 251015}},
-{16394, 18, 50542, {1, 1, 5, 11, 17, 33, 9, 45, 111, 91, 1923, 967, 5649, 13647, 30497, 2925, 18395, 255089}},
-{16395, 18, 50550, {1, 3, 3, 1, 3, 55, 33, 29, 101, 211, 1731, 2351, 7389, 14935, 29703, 60031, 122305, 174323}},
-{16396, 18, 50560, {1, 1, 1, 3, 13, 23, 79, 117, 367, 267, 143, 1537, 3159, 2303, 9653, 12029, 2841, 226971}},
-{16397, 18, 50570, {1, 1, 1, 13, 19, 57, 103, 159, 315, 895, 1879, 2153, 1901, 7635, 14145, 56495, 6203, 151203}},
-{16398, 18, 50587, {1, 3, 3, 11, 31, 11, 75, 5, 419, 963, 1809, 3751, 7291, 12697, 2841, 17965, 91707, 80361}},
-{16399, 18, 50593, {1, 1, 7, 7, 5, 23, 29, 199, 413, 501, 19, 697, 6523, 3997, 4945, 59817, 127613, 220399}},
-{16400, 18, 50611, {1, 1, 7, 5, 1, 17, 51, 9, 183, 689, 325, 2391, 2095, 1907, 10325, 51045, 20097, 33719}},
-{16401, 18, 50649, {1, 3, 5, 11, 3, 33, 45, 221, 325, 7, 253, 1323, 4959, 14067, 10035, 39463, 123171, 194581}},
-{16402, 18, 50656, {1, 1, 3, 3, 15, 45, 25, 57, 357, 907, 1249, 3279, 2631, 9209, 7857, 58233, 29049, 173859}},
-{16403, 18, 50685, {1, 3, 3, 9, 29, 39, 105, 55, 295, 583, 825, 1777, 2403, 9489, 9079, 24855, 18155, 252733}},
-{16404, 18, 50686, {1, 1, 5, 15, 5, 63, 77, 215, 287, 743, 1937, 2103, 2673, 15487, 27855, 46683, 120215, 89721}},
-{16405, 18, 50692, {1, 3, 3, 5, 27, 1, 45, 19, 309, 679, 1405, 415, 6107, 13567, 5803, 61941, 130285, 51847}},
-{16406, 18, 50702, {1, 3, 1, 15, 23, 49, 47, 113, 401, 825, 1299, 2711, 6509, 12225, 16147, 20615, 121305, 121937}},
-{16407, 18, 50704, {1, 3, 5, 5, 31, 41, 31, 57, 385, 919, 593, 1371, 6773, 12099, 23767, 17663, 128321, 188921}},
-{16408, 18, 50709, {1, 1, 3, 15, 5, 41, 17, 7, 479, 143, 549, 1827, 8107, 14775, 28817, 12297, 119893, 191297}},
-{16409, 18, 50720, {1, 3, 7, 5, 29, 61, 27, 123, 269, 223, 121, 1745, 3513, 1989, 9759, 8129, 78933, 40085}},
-{16410, 18, 50726, {1, 1, 5, 13, 23, 49, 125, 225, 479, 123, 41, 2359, 4443, 4729, 31717, 3139, 3869, 118803}},
-{16411, 18, 50729, {1, 3, 3, 3, 15, 7, 7, 87, 415, 95, 1799, 2009, 4711, 15635, 21997, 47201, 16815, 99815}},
-{16412, 18, 50737, {1, 3, 3, 1, 31, 57, 73, 31, 423, 363, 1469, 2411, 6449, 15275, 14189, 51079, 130201, 130181}},
-{16413, 18, 50758, {1, 1, 5, 3, 3, 31, 107, 11, 355, 647, 1463, 3019, 3263, 13727, 10461, 26577, 4439, 132737}},
-{16414, 18, 50772, {1, 1, 1, 7, 13, 55, 31, 227, 71, 563, 1467, 3733, 725, 3443, 19279, 4111, 35749, 62275}},
-{16415, 18, 50849, {1, 3, 3, 15, 9, 17, 61, 95, 43, 583, 1381, 1285, 2655, 9213, 27551, 16237, 29569, 216879}},
-{16416, 18, 50850, {1, 1, 1, 3, 29, 3, 87, 193, 53, 599, 1581, 907, 4381, 8697, 27299, 40259, 122653, 43559}},
-{16417, 18, 50881, {1, 3, 5, 3, 15, 49, 21, 27, 35, 353, 1281, 3253, 7339, 9333, 25253, 35035, 30379, 87387}},
-{16418, 18, 50901, {1, 1, 1, 15, 7, 27, 69, 41, 45, 729, 1005, 3495, 1445, 7421, 27443, 29609, 70105, 93883}},
-{16419, 18, 50906, {1, 1, 7, 7, 1, 41, 15, 149, 107, 121, 639, 3703, 3397, 1727, 14165, 2845, 78531, 175767}},
-{16420, 18, 50915, {1, 3, 7, 15, 27, 17, 121, 175, 399, 551, 1889, 2283, 4343, 3633, 653, 3267, 101901, 162157}},
-{16421, 18, 50961, {1, 3, 3, 15, 23, 41, 97, 251, 435, 955, 69, 509, 8001, 11783, 7397, 7587, 127089, 15391}},
-{16422, 18, 50992, {1, 3, 5, 5, 25, 25, 63, 25, 203, 655, 2039, 2545, 5405, 1377, 30543, 65531, 122825, 6853}},
-{16423, 18, 50997, {1, 1, 7, 9, 9, 43, 73, 195, 465, 497, 1085, 3821, 7115, 7513, 21913, 32499, 96467, 181905}},
-{16424, 18, 51001, {1, 1, 3, 7, 29, 29, 63, 131, 409, 423, 687, 2549, 7367, 6867, 2685, 29137, 61845, 194409}},
-{16425, 18, 51004, {1, 3, 7, 7, 3, 23, 47, 31, 121, 629, 1771, 2387, 861, 2269, 29565, 19599, 18051, 121531}},
-{16426, 18, 51033, {1, 1, 1, 3, 21, 13, 109, 105, 163, 433, 521, 3467, 6225, 3705, 30605, 3265, 119313, 2535}},
-{16427, 18, 51045, {1, 3, 5, 3, 25, 25, 89, 177, 415, 67, 361, 3317, 6411, 4857, 23249, 41959, 59931, 35797}},
-{16428, 18, 51052, {1, 3, 7, 15, 5, 37, 37, 65, 71, 13, 1621, 2217, 3723, 2113, 23755, 46521, 48091, 44307}},
-{16429, 18, 51064, {1, 1, 5, 13, 5, 5, 63, 75, 61, 443, 1663, 3239, 7717, 2623, 5723, 42673, 8519, 58773}},
-{16430, 18, 51085, {1, 1, 3, 1, 29, 13, 35, 61, 391, 517, 1007, 17, 2519, 7121, 20095, 33449, 21397, 103787}},
-{16431, 18, 51127, {1, 1, 5, 1, 9, 45, 49, 151, 39, 347, 1821, 2687, 1551, 12117, 29429, 40963, 77795, 20941}},
-{16432, 18, 51139, {1, 1, 5, 3, 13, 49, 107, 105, 201, 601, 1335, 2389, 6837, 11123, 22985, 62705, 59057, 128333}},
-{16433, 18, 51153, {1, 3, 3, 13, 5, 3, 21, 103, 481, 621, 2037, 2963, 425, 4685, 27475, 24363, 116419, 171743}},
-{16434, 18, 51181, {1, 3, 3, 5, 27, 27, 5, 91, 245, 421, 795, 1869, 6455, 4463, 23467, 24039, 69681, 262127}},
-{16435, 18, 51182, {1, 3, 1, 11, 11, 5, 31, 253, 469, 593, 877, 2041, 4615, 1541, 11823, 58525, 128689, 95985}},
-{16436, 18, 51194, {1, 3, 5, 13, 31, 35, 115, 73, 97, 213, 1499, 1371, 4239, 7897, 3987, 4833, 115043, 222743}},
-{16437, 18, 51196, {1, 3, 3, 5, 31, 15, 17, 233, 137, 521, 1721, 1913, 1881, 13457, 10733, 61527, 19825, 192601}},
-{16438, 18, 51200, {1, 3, 1, 3, 11, 21, 81, 77, 377, 915, 321, 3925, 867, 5491, 4707, 37307, 52141, 29155}},
-{16439, 18, 51239, {1, 1, 5, 1, 13, 51, 97, 161, 295, 159, 1717, 3817, 4687, 1907, 2655, 60577, 73867, 161851}},
-{16440, 18, 51240, {1, 1, 3, 13, 21, 31, 33, 145, 375, 377, 1429, 1981, 4851, 9047, 2685, 49037, 67399, 124243}},
-{16441, 18, 51254, {1, 1, 7, 13, 1, 55, 65, 147, 471, 277, 1585, 3949, 1885, 1635, 15687, 46367, 120931, 192097}},
-{16442, 18, 51260, {1, 1, 7, 9, 13, 27, 33, 41, 377, 863, 1297, 181, 2685, 11285, 3961, 63201, 59757, 70231}},
-{16443, 18, 51342, {1, 1, 3, 15, 29, 3, 79, 25, 147, 683, 1563, 805, 5891, 3355, 20113, 48261, 38195, 14589}},
-{16444, 18, 51370, {1, 1, 7, 11, 9, 15, 21, 33, 47, 923, 1291, 4001, 203, 305, 21575, 41915, 74769, 114921}},
-{16445, 18, 51372, {1, 3, 7, 11, 15, 1, 75, 173, 473, 493, 291, 811, 931, 10731, 9855, 57891, 81575, 250565}},
-{16446, 18, 51377, {1, 3, 3, 3, 31, 31, 71, 141, 389, 661, 71, 3245, 6827, 9219, 26607, 50511, 94783, 130785}},
-{16447, 18, 51398, {1, 1, 7, 3, 9, 15, 67, 141, 293, 779, 3, 3311, 7063, 13709, 29715, 55227, 11043, 150343}},
-{16448, 18, 51402, {1, 3, 3, 3, 21, 9, 45, 111, 207, 715, 345, 1345, 3079, 3851, 23709, 33919, 108213, 25353}},
-{16449, 18, 51407, {1, 3, 5, 13, 7, 3, 35, 95, 397, 397, 1159, 2759, 5233, 16237, 12469, 29543, 39133, 64429}},
-{16450, 18, 51410, {1, 1, 5, 13, 19, 35, 9, 7, 153, 843, 2025, 1379, 3361, 15889, 7411, 26399, 106295, 19851}},
-{16451, 18, 51412, {1, 3, 1, 1, 21, 15, 71, 143, 279, 431, 487, 967, 4445, 11969, 16671, 48891, 59605, 230607}},
-{16452, 18, 51419, {1, 3, 5, 1, 25, 63, 23, 143, 221, 805, 377, 1441, 1971, 1985, 10055, 35991, 115873, 223455}},
-{16453, 18, 51428, {1, 3, 1, 7, 21, 57, 1, 185, 117, 75, 1623, 3805, 2385, 10245, 29009, 59149, 130219, 114763}},
-{16454, 18, 51431, {1, 3, 1, 13, 19, 13, 105, 241, 47, 597, 1725, 2579, 3785, 1667, 12427, 62623, 60883, 189977}},
-{16455, 18, 51460, {1, 3, 5, 13, 1, 55, 59, 133, 263, 415, 1013, 139, 3037, 13661, 15303, 27279, 84095, 184807}},
-{16456, 18, 51475, {1, 3, 1, 11, 7, 45, 3, 179, 315, 639, 875, 3299, 5221, 8463, 17507, 59673, 73865, 98867}},
-{16457, 18, 51477, {1, 3, 7, 7, 3, 3, 53, 233, 219, 519, 585, 3029, 3623, 9559, 2251, 43735, 121513, 208007}},
-{16458, 18, 51478, {1, 3, 1, 3, 17, 47, 47, 145, 445, 541, 163, 2653, 165, 7213, 3311, 57335, 43967, 191841}},
-{16459, 18, 51482, {1, 3, 5, 5, 7, 47, 39, 119, 13, 727, 887, 3743, 3807, 15267, 3977, 52833, 14851, 61851}},
-{16460, 18, 51511, {1, 1, 3, 5, 9, 9, 107, 119, 501, 723, 1965, 3093, 6947, 1783, 11287, 24243, 14005, 106677}},
-{16461, 18, 51518, {1, 3, 3, 11, 11, 29, 85, 243, 359, 195, 221, 1767, 6969, 15275, 20853, 26921, 40903, 29849}},
-{16462, 18, 51568, {1, 3, 1, 5, 31, 3, 11, 247, 371, 339, 1263, 119, 791, 7425, 18879, 11333, 34359, 178929}},
-{16463, 18, 51607, {1, 1, 3, 7, 23, 15, 121, 203, 441, 499, 779, 1971, 339, 8737, 6859, 32417, 97073, 256143}},
-{16464, 18, 51618, {1, 1, 5, 11, 3, 23, 25, 51, 407, 677, 97, 281, 427, 3671, 7939, 54485, 3967, 210199}},
-{16465, 18, 51630, {1, 1, 5, 9, 5, 45, 23, 171, 255, 967, 313, 3881, 6039, 10545, 3591, 51985, 37145, 99291}},
-{16466, 18, 51655, {1, 1, 5, 7, 3, 13, 55, 147, 83, 369, 1707, 1919, 491, 11507, 29559, 29169, 65897, 80587}},
-{16467, 18, 51673, {1, 1, 3, 13, 31, 41, 41, 237, 245, 109, 969, 1797, 8169, 6351, 3657, 9655, 109201, 245117}},
-{16468, 18, 51683, {1, 3, 7, 5, 17, 23, 17, 219, 473, 1, 865, 1949, 7589, 10107, 3035, 19903, 79579, 138695}},
-{16469, 18, 51709, {1, 3, 1, 15, 13, 57, 109, 117, 277, 773, 31, 3807, 7615, 2453, 22655, 51513, 108367, 248473}},
-{16470, 18, 51716, {1, 1, 7, 11, 17, 59, 27, 167, 63, 931, 13, 3721, 1789, 7621, 31093, 27541, 37283, 35193}},
-{16471, 18, 51774, {1, 3, 3, 11, 13, 9, 7, 85, 45, 151, 1865, 4049, 4433, 9517, 231, 30733, 93701, 126585}},
-{16472, 18, 51829, {1, 3, 1, 13, 21, 33, 19, 87, 77, 425, 351, 1163, 7453, 12567, 24615, 35563, 127643, 28625}},
-{16473, 18, 51830, {1, 1, 3, 11, 7, 35, 27, 47, 465, 595, 985, 573, 2541, 7841, 14749, 43761, 26699, 135895}},
-{16474, 18, 51839, {1, 1, 1, 7, 25, 51, 93, 237, 355, 575, 1, 443, 5697, 1997, 28801, 11621, 62531, 88449}},
-{16475, 18, 51849, {1, 1, 1, 9, 23, 35, 23, 91, 161, 601, 1401, 2187, 6283, 10711, 21277, 47771, 12589, 176625}},
-{16476, 18, 51869, {1, 3, 3, 5, 13, 23, 33, 65, 213, 835, 539, 2487, 273, 6113, 18327, 52493, 17571, 160909}},
-{16477, 18, 51886, {1, 3, 1, 5, 25, 9, 117, 201, 457, 331, 1455, 439, 4891, 5515, 21701, 9343, 29085, 120299}},
-{16478, 18, 51905, {1, 1, 1, 5, 29, 7, 43, 125, 155, 43, 1949, 2901, 7293, 13683, 18289, 16873, 27899, 168631}},
-{16479, 18, 51906, {1, 1, 7, 3, 29, 33, 53, 137, 301, 27, 1101, 837, 5843, 13167, 6073, 49083, 120031, 45065}},
-{16480, 18, 51915, {1, 3, 5, 1, 31, 47, 127, 185, 279, 603, 1699, 1693, 3263, 9055, 3525, 46065, 79305, 19949}},
-{16481, 18, 51948, {1, 3, 7, 9, 17, 47, 25, 191, 369, 877, 1477, 3041, 5123, 1393, 5061, 1755, 61051, 55299}},
-{16482, 18, 51988, {1, 1, 5, 13, 13, 7, 89, 141, 251, 321, 1515, 2677, 5103, 12901, 29875, 165, 15073, 47795}},
-{16483, 18, 51998, {1, 3, 1, 7, 1, 37, 55, 173, 191, 981, 685, 4003, 6319, 3037, 30637, 11955, 81015, 89239}},
-{16484, 18, 52004, {1, 3, 5, 5, 1, 5, 55, 251, 229, 153, 425, 2793, 6779, 15797, 10087, 7573, 121789, 115479}},
-{16485, 18, 52026, {1, 3, 7, 13, 23, 39, 23, 21, 55, 543, 1539, 3055, 7825, 2865, 8967, 56719, 117219, 142137}},
-{16486, 18, 52036, {1, 1, 5, 13, 1, 29, 81, 11, 509, 61, 1681, 1911, 829, 10583, 7105, 42047, 128579, 48891}},
-{16487, 18, 52082, {1, 1, 3, 13, 7, 27, 81, 89, 129, 239, 309, 1353, 5265, 12255, 29391, 1659, 114857, 43551}},
-{16488, 18, 52127, {1, 1, 7, 13, 23, 15, 9, 93, 35, 839, 549, 1793, 4693, 13295, 10603, 18179, 33141, 239555}},
-{16489, 18, 52145, {1, 3, 1, 7, 17, 5, 11, 193, 143, 579, 1199, 1239, 4503, 15855, 23345, 34789, 59427, 235319}},
-{16490, 18, 52157, {1, 3, 5, 3, 25, 63, 11, 203, 415, 135, 261, 1843, 3409, 4605, 15213, 28537, 75787, 100007}},
-{16491, 18, 52165, {1, 1, 1, 5, 3, 37, 29, 157, 213, 235, 959, 1087, 2843, 10265, 28233, 14281, 25867, 204031}},
-{16492, 18, 52193, {1, 3, 3, 7, 19, 49, 55, 111, 253, 823, 533, 941, 2509, 5595, 9267, 28457, 84301, 165385}},
-{16493, 18, 52211, {1, 3, 5, 9, 5, 59, 13, 85, 339, 889, 597, 3517, 7001, 5525, 25451, 13855, 19033, 182677}},
-{16494, 18, 52213, {1, 3, 1, 15, 23, 29, 31, 105, 353, 825, 1977, 2013, 131, 1969, 427, 16465, 90817, 257931}},
-{16495, 18, 52218, {1, 3, 1, 3, 29, 9, 109, 243, 321, 15, 1479, 787, 4667, 13925, 7347, 7977, 105585, 143959}},
-{16496, 18, 52220, {1, 1, 7, 15, 5, 45, 11, 95, 215, 719, 827, 77, 7263, 5705, 26971, 26845, 82127, 2849}},
-{16497, 18, 52238, {1, 1, 7, 9, 5, 43, 103, 133, 203, 127, 2021, 3609, 6971, 13447, 27089, 62287, 104391, 147901}},
-{16498, 18, 52240, {1, 3, 1, 3, 3, 41, 61, 101, 381, 985, 1795, 2465, 2899, 13517, 23953, 38831, 43569, 128643}},
-{16499, 18, 52243, {1, 3, 5, 5, 9, 49, 13, 7, 215, 85, 1203, 647, 6627, 1861, 17901, 40203, 13007, 84975}},
-{16500, 18, 52250, {1, 3, 5, 15, 31, 13, 55, 89, 397, 641, 1599, 3379, 3401, 4173, 5757, 42945, 59269, 106891}},
-{16501, 18, 52279, {1, 1, 5, 13, 25, 17, 45, 27, 151, 725, 819, 581, 3675, 3983, 9499, 47511, 128039, 56825}},
-{16502, 18, 52285, {1, 1, 5, 1, 7, 11, 65, 63, 301, 927, 409, 3729, 7227, 12849, 17855, 36527, 2907, 66819}},
-{16503, 18, 52306, {1, 3, 3, 3, 29, 35, 39, 1, 349, 429, 805, 3639, 3909, 4211, 10393, 36223, 72543, 136375}},
-{16504, 18, 52370, {1, 1, 1, 9, 23, 27, 25, 213, 195, 455, 883, 3357, 7277, 9061, 14103, 6005, 35031, 72703}},
-{16505, 18, 52432, {1, 1, 3, 3, 11, 17, 19, 181, 25, 775, 897, 3809, 2031, 13017, 7505, 37469, 107335, 174309}},
-{16506, 18, 52457, {1, 1, 7, 13, 7, 1, 57, 27, 159, 465, 533, 3409, 3863, 14001, 8011, 25873, 14971, 67243}},
-{16507, 18, 52466, {1, 1, 3, 11, 19, 5, 11, 19, 75, 489, 1879, 1539, 6563, 4729, 15605, 35203, 47993, 110139}},
-{16508, 18, 52514, {1, 3, 5, 9, 23, 17, 67, 89, 379, 849, 1667, 955, 1537, 11781, 9791, 46959, 79481, 237335}},
-{16509, 18, 52557, {1, 1, 7, 9, 3, 31, 127, 145, 29, 35, 463, 4009, 4427, 16215, 12093, 50085, 51259, 45091}},
-{16510, 18, 52560, {1, 1, 5, 9, 25, 3, 1, 131, 221, 951, 117, 3227, 797, 7617, 13243, 50139, 26737, 105875}},
-{16511, 18, 52585, {1, 1, 5, 3, 11, 5, 7, 155, 211, 865, 27, 3943, 7923, 9973, 23233, 37399, 89951, 106555}},
-{16512, 18, 52586, {1, 1, 3, 13, 21, 61, 77, 121, 227, 527, 1641, 3535, 3801, 7221, 6423, 9179, 114935, 33373}},
-{16513, 18, 52603, {1, 3, 7, 5, 31, 7, 123, 159, 367, 369, 1905, 1689, 6773, 675, 30289, 54149, 71469, 232835}},
-{16514, 18, 52650, {1, 1, 1, 13, 9, 23, 83, 237, 251, 941, 781, 1489, 6037, 6001, 15909, 50527, 60143, 238499}},
-{16515, 18, 52672, {1, 3, 1, 11, 5, 7, 103, 43, 413, 247, 535, 2107, 1801, 16381, 32529, 2355, 39143, 71281}},
-{16516, 18, 52681, {1, 1, 7, 5, 5, 31, 19, 11, 191, 643, 923, 1661, 2215, 11817, 23937, 62907, 128301, 21459}},
-{16517, 18, 52692, {1, 3, 7, 15, 1, 51, 123, 61, 99, 751, 1819, 1191, 3865, 8765, 7131, 33965, 55697, 87059}},
-{16518, 18, 52735, {1, 1, 5, 13, 5, 57, 41, 103, 135, 207, 517, 3995, 2537, 15705, 9123, 26193, 30653, 190549}},
-{16519, 18, 52760, {1, 1, 3, 1, 23, 5, 109, 209, 407, 143, 943, 2325, 8087, 559, 23675, 31815, 43805, 67497}},
-{16520, 18, 52772, {1, 1, 5, 9, 25, 33, 13, 21, 93, 357, 1551, 739, 5595, 16285, 30761, 54075, 75505, 177333}},
-{16521, 18, 52781, {1, 3, 5, 11, 17, 59, 31, 249, 95, 561, 1849, 4061, 5577, 2607, 30083, 59033, 56697, 89761}},
-{16522, 18, 52793, {1, 1, 3, 13, 27, 57, 9, 17, 323, 813, 1197, 2775, 3443, 9523, 24509, 12129, 89697, 169043}},
-{16523, 18, 52796, {1, 3, 5, 13, 17, 51, 91, 1, 105, 345, 829, 1365, 2755, 7197, 26655, 1303, 52223, 133893}},
-{16524, 18, 52807, {1, 1, 7, 1, 31, 3, 51, 21, 327, 851, 153, 3329, 3393, 8489, 5879, 25035, 124403, 172657}},
-{16525, 18, 52821, {1, 1, 1, 5, 3, 21, 61, 29, 99, 343, 621, 3163, 3763, 9347, 7691, 34667, 24555, 125819}},
-{16526, 18, 52849, {1, 1, 1, 1, 3, 17, 83, 191, 83, 315, 1091, 589, 5081, 4611, 15521, 25791, 9103, 13741}},
-{16527, 18, 52866, {1, 3, 5, 3, 7, 53, 9, 227, 399, 857, 673, 3027, 5045, 5573, 7467, 4813, 99659, 142845}},
-{16528, 18, 52868, {1, 1, 5, 11, 23, 37, 71, 151, 279, 879, 601, 2391, 7091, 12669, 10203, 11747, 9613, 248261}},
-{16529, 18, 52872, {1, 1, 3, 3, 29, 25, 33, 25, 1, 683, 1475, 457, 3641, 14219, 20105, 21449, 6903, 43819}},
-{16530, 18, 52875, {1, 1, 7, 7, 5, 1, 73, 79, 357, 971, 699, 1105, 1683, 1687, 32677, 62467, 47671, 88149}},
-{16531, 18, 52886, {1, 3, 1, 15, 23, 13, 93, 75, 307, 81, 1607, 1333, 6969, 7747, 27135, 58941, 26355, 5565}},
-{16532, 18, 52890, {1, 1, 7, 3, 27, 35, 85, 195, 421, 999, 1721, 2029, 283, 13995, 21649, 7519, 73357, 193171}},
-{16533, 18, 52896, {1, 3, 7, 15, 17, 63, 21, 187, 475, 671, 1681, 2731, 8169, 3327, 19789, 53295, 43219, 6949}},
-{16534, 18, 52925, {1, 1, 7, 13, 9, 33, 47, 115, 295, 123, 1293, 1627, 4261, 4503, 15925, 16521, 81759, 247089}},
-{16535, 18, 52931, {1, 3, 1, 13, 11, 15, 83, 129, 409, 465, 873, 1333, 7939, 973, 2753, 33727, 128975, 43333}},
-{16536, 18, 52937, {1, 3, 3, 3, 27, 59, 1, 137, 145, 29, 1189, 2615, 3249, 11197, 17165, 32313, 14065, 44199}},
-{16537, 18, 52938, {1, 3, 3, 11, 17, 49, 107, 111, 45, 963, 1129, 1775, 7671, 1495, 14531, 49743, 63321, 159841}},
-{16538, 18, 52952, {1, 1, 5, 9, 5, 11, 79, 99, 155, 347, 1777, 3793, 1765, 2319, 3135, 30237, 100845, 52689}},
-{16539, 18, 52979, {1, 3, 7, 13, 21, 57, 71, 207, 149, 161, 265, 991, 6967, 8905, 21581, 13921, 79201, 95667}},
-{16540, 18, 53013, {1, 3, 5, 15, 13, 53, 95, 81, 443, 161, 1071, 2749, 6637, 837, 15015, 62397, 33295, 112005}},
-{16541, 18, 53023, {1, 3, 1, 1, 31, 25, 37, 111, 79, 293, 249, 1523, 1509, 1993, 17167, 62939, 118281, 62699}},
-{16542, 18, 53027, {1, 3, 7, 7, 5, 33, 61, 179, 265, 405, 287, 1899, 437, 1609, 19617, 41093, 36341, 176593}},
-{16543, 18, 53033, {1, 1, 5, 3, 9, 33, 97, 45, 23, 807, 1575, 627, 7465, 4805, 11191, 35439, 69433, 47275}},
-{16544, 18, 53039, {1, 1, 1, 5, 1, 51, 51, 247, 453, 449, 1487, 141, 2501, 8039, 14749, 63733, 91963, 232951}},
-{16545, 18, 53041, {1, 3, 3, 13, 15, 7, 81, 211, 445, 15, 899, 835, 5163, 3403, 7367, 29963, 80413, 87209}},
-{16546, 18, 53048, {1, 3, 1, 11, 25, 43, 113, 139, 381, 391, 485, 1503, 4195, 10109, 13771, 35865, 50909, 224887}},
-{16547, 18, 53073, {1, 1, 7, 9, 9, 51, 21, 85, 137, 765, 951, 2453, 227, 9177, 1457, 47937, 84203, 118987}},
-{16548, 18, 53095, {1, 3, 5, 9, 1, 1, 21, 41, 133, 317, 519, 2249, 3453, 2957, 2029, 54737, 42515, 176017}},
-{16549, 18, 53099, {1, 3, 1, 7, 9, 27, 79, 193, 209, 281, 267, 1267, 7013, 13667, 13331, 32863, 5289, 15077}},
-{16550, 18, 53120, {1, 1, 5, 11, 29, 3, 3, 177, 75, 485, 1735, 3955, 4349, 7893, 13075, 58735, 8629, 78143}},
-{16551, 18, 53154, {1, 1, 7, 13, 3, 15, 15, 77, 7, 843, 1561, 461, 6817, 4363, 7861, 45697, 115663, 93789}},
-{16552, 18, 53168, {1, 1, 1, 7, 5, 35, 83, 213, 229, 383, 747, 337, 2589, 683, 18575, 42415, 74889, 227331}},
-{16553, 18, 53192, {1, 3, 5, 3, 17, 35, 57, 213, 247, 273, 689, 1889, 5667, 357, 4267, 11611, 20621, 159039}},
-{16554, 18, 53205, {1, 3, 3, 15, 7, 55, 25, 83, 293, 939, 1169, 2507, 3939, 7537, 2959, 40231, 124511, 181091}},
-{16555, 18, 53206, {1, 1, 5, 9, 31, 51, 67, 149, 509, 695, 449, 2761, 6597, 4741, 4205, 49177, 45599, 167807}},
-{16556, 18, 53234, {1, 1, 7, 15, 3, 7, 113, 71, 279, 885, 251, 2831, 855, 6673, 6511, 63861, 41109, 177119}},
-{16557, 18, 53246, {1, 1, 5, 3, 7, 23, 125, 11, 217, 1023, 549, 529, 3891, 10595, 13751, 37729, 113469, 110549}},
-{16558, 18, 53253, {1, 1, 3, 15, 21, 9, 13, 63, 93, 635, 659, 2837, 6303, 10083, 10107, 27859, 33891, 181229}},
-{16559, 18, 53263, {1, 1, 7, 3, 3, 43, 5, 149, 353, 353, 565, 2441, 7113, 6493, 30355, 17887, 110787, 187199}},
-{16560, 18, 53275, {1, 1, 3, 7, 19, 43, 99, 63, 169, 743, 185, 3817, 6677, 5549, 1609, 24701, 98669, 233701}},
-{16561, 18, 53313, {1, 1, 1, 1, 21, 49, 73, 169, 223, 551, 553, 917, 4705, 14951, 14031, 19753, 96205, 131755}},
-{16562, 18, 53331, {1, 1, 3, 3, 17, 49, 51, 249, 293, 921, 435, 2915, 3125, 3487, 11417, 35043, 29543, 35933}},
-{16563, 18, 53349, {1, 1, 3, 9, 23, 43, 73, 151, 379, 911, 671, 151, 955, 11885, 28795, 23967, 117135, 137985}},
-{16564, 18, 53367, {1, 1, 3, 7, 29, 3, 51, 231, 59, 227, 443, 3533, 7785, 12535, 25725, 7451, 9391, 239281}},
-{16565, 18, 53383, {1, 3, 3, 9, 17, 37, 91, 195, 5, 843, 313, 1417, 1207, 3225, 15949, 34023, 1275, 221057}},
-{16566, 18, 53392, {1, 1, 3, 15, 3, 51, 111, 135, 63, 495, 1967, 2151, 197, 10913, 20705, 1021, 68431, 67119}},
-{16567, 18, 53404, {1, 1, 5, 3, 7, 29, 87, 219, 273, 267, 1317, 797, 6723, 947, 29867, 32571, 12337, 234715}},
-{16568, 18, 53407, {1, 3, 5, 15, 1, 9, 91, 63, 97, 107, 451, 4025, 233, 7803, 17031, 7669, 49417, 256611}},
-{16569, 18, 53411, {1, 1, 7, 3, 17, 17, 45, 197, 227, 133, 799, 411, 6739, 8037, 19553, 53009, 25201, 107625}},
-{16570, 18, 53417, {1, 3, 5, 7, 3, 39, 25, 95, 197, 127, 45, 173, 3305, 6575, 19633, 54919, 35373, 59509}},
-{16571, 18, 53425, {1, 3, 3, 3, 9, 1, 107, 211, 217, 715, 311, 3641, 8055, 1, 9017, 29329, 128467, 46911}},
-{16572, 18, 53443, {1, 1, 1, 7, 1, 13, 13, 79, 259, 533, 1761, 449, 3363, 3061, 26227, 50407, 122951, 261425}},
-{16573, 18, 53469, {1, 3, 5, 5, 29, 19, 41, 7, 25, 203, 587, 3321, 655, 15877, 10423, 41481, 70325, 165527}},
-{16574, 18, 53480, {1, 3, 5, 9, 11, 45, 91, 253, 7, 137, 795, 2379, 4527, 1677, 5081, 6523, 97245, 3691}},
-{16575, 18, 53508, {1, 3, 7, 9, 25, 43, 125, 243, 391, 785, 651, 3245, 7979, 14689, 15443, 40501, 5519, 96551}},
-{16576, 18, 53535, {1, 1, 1, 3, 25, 53, 45, 159, 47, 701, 1655, 2019, 2355, 11213, 12403, 42291, 44925, 72689}},
-{16577, 18, 53536, {1, 1, 1, 5, 21, 19, 77, 31, 3, 161, 149, 3759, 6331, 12311, 7021, 1117, 12459, 134821}},
-{16578, 18, 53542, {1, 1, 3, 9, 9, 59, 23, 255, 437, 625, 719, 3727, 7157, 1889, 31523, 59127, 114143, 174179}},
-{16579, 18, 53563, {1, 1, 1, 15, 23, 7, 47, 137, 77, 519, 1681, 1159, 6121, 14789, 21343, 43101, 44709, 179863}},
-{16580, 18, 53577, {1, 3, 1, 3, 17, 27, 103, 11, 327, 735, 1949, 3719, 811, 2267, 13187, 29747, 98433, 242021}},
-{16581, 18, 53591, {1, 1, 7, 15, 15, 63, 25, 203, 109, 585, 409, 4093, 6669, 2381, 30721, 58975, 17235, 257959}},
-{16582, 18, 53607, {1, 3, 3, 5, 5, 19, 27, 69, 69, 193, 693, 1169, 6321, 3425, 9285, 28019, 128343, 185165}},
-{16583, 18, 53626, {1, 1, 3, 9, 7, 51, 113, 93, 81, 385, 1811, 2601, 2065, 1029, 24515, 7199, 26425, 174283}},
-{16584, 18, 53628, {1, 1, 1, 5, 29, 55, 93, 219, 281, 887, 891, 2763, 6083, 9627, 18559, 21329, 73887, 83699}},
-{16585, 18, 53638, {1, 1, 1, 3, 21, 31, 49, 173, 15, 177, 1001, 3453, 5623, 14107, 8837, 10163, 26817, 41947}},
-{16586, 18, 53675, {1, 1, 3, 5, 27, 63, 117, 49, 405, 281, 981, 2363, 1525, 9685, 29089, 16739, 66509, 125823}},
-{16587, 18, 53685, {1, 3, 7, 13, 27, 29, 57, 189, 345, 135, 753, 463, 731, 4823, 14335, 33299, 105229, 54705}},
-{16588, 18, 53692, {1, 3, 1, 1, 9, 43, 51, 25, 371, 261, 1409, 3493, 2811, 12915, 16075, 62159, 125945, 108453}},
-{16589, 18, 53703, {1, 3, 7, 15, 13, 33, 47, 53, 263, 669, 1383, 3059, 4043, 4777, 14679, 2077, 11019, 5803}},
-{16590, 18, 53722, {1, 1, 3, 11, 21, 7, 39, 71, 215, 79, 1849, 1261, 45, 1273, 27591, 4653, 25119, 30445}},
-{16591, 18, 53738, {1, 3, 5, 9, 21, 3, 17, 207, 417, 777, 37, 3349, 2761, 4469, 3457, 15593, 87251, 38601}},
-{16592, 18, 53748, {1, 1, 7, 13, 29, 29, 101, 103, 487, 87, 1129, 2497, 5501, 4813, 8623, 25077, 50487, 94053}},
-{16593, 18, 53752, {1, 3, 3, 11, 7, 23, 95, 245, 127, 55, 431, 2707, 4955, 15871, 29589, 60023, 1921, 227623}},
-{16594, 18, 53764, {1, 1, 3, 11, 17, 61, 103, 59, 477, 99, 1203, 157, 203, 557, 22921, 47363, 12853, 144067}},
-{16595, 18, 53781, {1, 3, 1, 13, 15, 23, 51, 109, 499, 841, 1779, 2515, 2519, 4945, 20061, 12395, 9223, 157901}},
-{16596, 18, 53788, {1, 3, 7, 9, 9, 15, 57, 223, 223, 463, 427, 2145, 1219, 12639, 28361, 46019, 128101, 198479}},
-{16597, 18, 53791, {1, 3, 7, 7, 1, 1, 99, 101, 135, 169, 1885, 3979, 3051, 13649, 26607, 45067, 4503, 74087}},
-{16598, 18, 53816, {1, 3, 7, 5, 17, 63, 27, 45, 447, 759, 1099, 3407, 489, 2719, 31577, 10355, 126835, 203439}},
-{16599, 18, 53824, {1, 1, 5, 1, 21, 19, 1, 239, 433, 531, 1181, 2021, 423, 3235, 8457, 44459, 117401, 63545}},
-{16600, 18, 53830, {1, 3, 7, 13, 21, 39, 25, 65, 405, 785, 137, 2899, 3255, 11165, 7827, 46425, 89063, 102787}},
-{16601, 18, 53839, {1, 1, 1, 11, 25, 3, 39, 61, 395, 35, 2001, 3201, 2233, 9625, 26489, 54167, 88495, 127441}},
-{16602, 18, 53844, {1, 1, 7, 7, 3, 27, 11, 49, 117, 711, 1881, 1457, 6759, 10517, 12733, 47435, 103111, 237237}},
-{16603, 18, 53875, {1, 1, 5, 5, 1, 61, 121, 155, 223, 733, 1349, 2825, 2093, 4481, 21389, 40227, 20453, 116907}},
-{16604, 18, 53921, {1, 3, 7, 7, 5, 11, 85, 131, 345, 723, 853, 3679, 7859, 11923, 16619, 63169, 127261, 155665}},
-{16605, 18, 53922, {1, 1, 5, 1, 3, 51, 93, 225, 197, 893, 555, 2611, 6225, 7819, 31655, 12235, 24919, 31451}},
-{16606, 18, 53927, {1, 1, 3, 3, 11, 23, 95, 205, 85, 705, 545, 155, 5533, 14837, 8341, 42473, 96891, 70695}},
-{16607, 18, 53948, {1, 3, 3, 5, 17, 31, 99, 187, 219, 275, 685, 2933, 4535, 13495, 20351, 60667, 95211, 129233}},
-{16608, 18, 53956, {1, 1, 1, 11, 9, 11, 123, 231, 127, 199, 733, 2495, 2601, 10565, 3155, 45251, 128319, 187457}},
-{16609, 18, 53990, {1, 3, 1, 9, 3, 33, 41, 109, 279, 851, 1115, 3773, 2383, 1885, 6993, 59693, 69863, 88081}},
-{16610, 18, 53994, {1, 1, 7, 13, 3, 27, 27, 203, 337, 965, 959, 1125, 2897, 8653, 15827, 51187, 12121, 4665}},
-{16611, 18, 54001, {1, 3, 1, 9, 19, 7, 23, 113, 257, 671, 571, 1061, 4353, 217, 13603, 27961, 68431, 147187}},
-{16612, 18, 54016, {1, 3, 5, 9, 25, 61, 7, 139, 237, 859, 761, 2005, 5981, 153, 6553, 53005, 72653, 33571}},
-{16613, 18, 54019, {1, 3, 5, 5, 9, 35, 63, 149, 427, 65, 635, 1955, 1845, 13781, 9761, 36147, 91479, 141305}},
-{16614, 18, 54070, {1, 1, 3, 5, 13, 39, 53, 113, 481, 933, 239, 3713, 7453, 12363, 14763, 46955, 108545, 74349}},
-{16615, 18, 54074, {1, 3, 1, 7, 13, 41, 57, 225, 213, 617, 1947, 2855, 4885, 8553, 20259, 57125, 59369, 178553}},
-{16616, 18, 54088, {1, 3, 5, 15, 31, 31, 19, 87, 461, 403, 1193, 2123, 4991, 14551, 17153, 14171, 17157, 194879}},
-{16617, 18, 54102, {1, 1, 5, 11, 5, 27, 119, 65, 111, 455, 1949, 3441, 6951, 6819, 12839, 6913, 57695, 145925}},
-{16618, 18, 54111, {1, 1, 1, 15, 19, 41, 55, 45, 33, 559, 589, 3773, 745, 8515, 32389, 47797, 145, 105503}},
-{16619, 18, 54130, {1, 1, 3, 15, 13, 53, 35, 223, 247, 893, 149, 553, 829, 5129, 26417, 15769, 95411, 6595}},
-{16620, 18, 54152, {1, 1, 5, 3, 3, 59, 35, 187, 387, 3, 847, 3579, 7869, 481, 23955, 22191, 21041, 230449}},
-{16621, 18, 54170, {1, 1, 3, 15, 23, 11, 97, 199, 11, 647, 803, 2391, 5791, 2223, 22187, 49675, 87775, 196871}},
-{16622, 18, 54172, {1, 3, 7, 5, 25, 63, 107, 227, 133, 337, 1767, 2459, 2987, 10463, 25001, 17047, 79901, 222877}},
-{16623, 18, 54211, {1, 3, 1, 13, 25, 5, 47, 109, 473, 389, 1743, 3951, 4231, 827, 4189, 29903, 106909, 152835}},
-{16624, 18, 54218, {1, 1, 5, 3, 7, 61, 121, 189, 303, 21, 957, 545, 7893, 3217, 25847, 29371, 100569, 132393}},
-{16625, 18, 54228, {1, 1, 1, 15, 29, 17, 59, 37, 449, 149, 845, 555, 7603, 11911, 18477, 23279, 107167, 160339}},
-{16626, 18, 54251, {1, 1, 7, 5, 13, 27, 43, 167, 443, 445, 2011, 2179, 2785, 13663, 21957, 2455, 18217, 19303}},
-{16627, 18, 54253, {1, 1, 1, 5, 19, 45, 71, 39, 21, 791, 1467, 855, 3101, 8267, 15529, 919, 105313, 75627}},
-{16628, 18, 54268, {1, 3, 1, 11, 31, 25, 57, 177, 211, 327, 679, 771, 7725, 6123, 23931, 48223, 9063, 133319}},
-{16629, 18, 54271, {1, 3, 5, 3, 1, 11, 19, 153, 177, 563, 1919, 117, 5583, 1519, 16623, 10871, 15511, 66113}},
-{16630, 18, 54274, {1, 1, 7, 7, 9, 45, 63, 253, 415, 347, 81, 2991, 2691, 2383, 15573, 33783, 12445, 224107}},
-{16631, 18, 54288, {1, 3, 5, 5, 7, 17, 99, 231, 439, 1009, 623, 833, 685, 6419, 30313, 56197, 73239, 260007}},
-{16632, 18, 54314, {1, 1, 5, 5, 5, 51, 97, 239, 267, 629, 1211, 2175, 5681, 3107, 11381, 57047, 120175, 131285}},
-{16633, 18, 54319, {1, 1, 7, 7, 29, 11, 21, 49, 481, 279, 1795, 1295, 453, 15985, 19941, 51853, 15115, 107271}},
-{16634, 18, 54321, {1, 1, 5, 1, 23, 61, 33, 21, 409, 57, 903, 557, 1673, 2759, 23705, 4109, 58865, 233081}},
-{16635, 18, 54324, {1, 1, 1, 5, 11, 37, 79, 15, 213, 485, 1477, 3925, 3205, 9267, 22043, 54197, 57101, 66185}},
-{16636, 18, 54341, {1, 1, 7, 13, 31, 27, 95, 141, 131, 43, 2039, 2257, 17, 14427, 5699, 22263, 86851, 226283}},
-{16637, 18, 54353, {1, 3, 5, 5, 11, 5, 5, 217, 363, 163, 1241, 3683, 1409, 1731, 20973, 63849, 35041, 94859}},
-{16638, 18, 54366, {1, 1, 7, 1, 25, 61, 67, 239, 369, 319, 1157, 2435, 2147, 12057, 4451, 3005, 31787, 199653}},
-{16639, 18, 54370, {1, 3, 5, 1, 11, 57, 1, 163, 433, 11, 1299, 1711, 1601, 4677, 16481, 25175, 63893, 41853}},
-{16640, 18, 54420, {1, 1, 3, 1, 29, 49, 91, 15, 313, 533, 115, 4005, 3157, 10615, 27915, 52613, 64447, 93091}},
-{16641, 18, 54423, {1, 3, 7, 3, 7, 17, 103, 67, 237, 595, 1571, 3421, 3971, 11123, 145, 52087, 59273, 21417}},
-{16642, 18, 54434, {1, 3, 5, 11, 31, 37, 105, 205, 377, 243, 841, 3153, 6847, 14171, 19947, 61561, 35, 261753}},
-{16643, 18, 54440, {1, 3, 5, 9, 29, 21, 103, 219, 107, 427, 1841, 2015, 2919, 5721, 8631, 48841, 33281, 35835}},
-{16644, 18, 54454, {1, 1, 3, 5, 25, 27, 67, 65, 305, 677, 1975, 1049, 7277, 15279, 30181, 48941, 119087, 130265}},
-{16645, 18, 54495, {1, 1, 3, 9, 29, 27, 109, 167, 351, 463, 663, 3155, 919, 10627, 30163, 62233, 32927, 210775}},
-{16646, 18, 54501, {1, 3, 5, 5, 19, 9, 17, 93, 33, 999, 1537, 3045, 3735, 4625, 31363, 46075, 80985, 108331}},
-{16647, 18, 54526, {1, 3, 7, 7, 11, 63, 83, 157, 205, 505, 657, 1901, 1405, 8349, 16473, 29397, 130379, 167963}},
-{16648, 18, 54639, {1, 3, 1, 15, 25, 49, 65, 189, 461, 923, 1839, 2597, 2471, 14103, 2915, 48429, 74387, 243465}},
-{16649, 18, 54653, {1, 3, 7, 11, 31, 47, 109, 21, 205, 343, 1999, 315, 8119, 15937, 8761, 55257, 99983, 131641}},
-{16650, 18, 54667, {1, 1, 3, 11, 3, 23, 73, 125, 17, 967, 1811, 1413, 4783, 8303, 25301, 26859, 90583, 140721}},
-{16651, 18, 54678, {1, 1, 5, 5, 25, 41, 49, 127, 391, 381, 1575, 1697, 5205, 12805, 24365, 20275, 58819, 167845}},
-{16652, 18, 54700, {1, 1, 7, 11, 17, 53, 51, 35, 383, 931, 359, 2863, 119, 6683, 26247, 14281, 49205, 256869}},
-{16653, 18, 54717, {1, 1, 7, 9, 23, 5, 69, 97, 407, 15, 579, 2905, 47, 6227, 23997, 42459, 26569, 225467}},
-{16654, 18, 54780, {1, 3, 3, 11, 7, 3, 125, 87, 347, 79, 1571, 1513, 285, 12101, 1731, 27887, 42009, 173243}},
-{16655, 18, 54801, {1, 3, 7, 13, 3, 5, 99, 29, 77, 873, 1111, 1451, 5493, 10669, 22597, 54437, 55521, 101617}},
-{16656, 18, 54813, {1, 3, 1, 3, 3, 17, 41, 215, 207, 71, 683, 1979, 4849, 2437, 5717, 28999, 55005, 233929}},
-{16657, 18, 54814, {1, 1, 1, 1, 23, 21, 105, 223, 5, 235, 1533, 3715, 2689, 13937, 12125, 63879, 111537, 39817}},
-{16658, 18, 54850, {1, 3, 3, 15, 25, 47, 71, 229, 21, 563, 1851, 2423, 131, 4431, 31567, 8883, 1311, 227893}},
-{16659, 18, 54883, {1, 3, 5, 11, 7, 23, 19, 59, 397, 315, 1149, 3595, 5973, 11027, 5233, 55237, 102777, 137421}},
-{16660, 18, 54907, {1, 1, 7, 9, 17, 61, 45, 235, 387, 171, 1079, 3119, 6933, 3591, 751, 35495, 49969, 204611}},
-{16661, 18, 54919, {1, 1, 7, 7, 21, 7, 105, 79, 81, 245, 1229, 409, 5159, 9815, 6713, 4687, 120541, 246133}},
-{16662, 18, 54931, {1, 3, 7, 13, 23, 31, 85, 97, 481, 497, 581, 1179, 243, 1767, 11855, 11599, 3141, 104741}},
-{16663, 18, 54933, {1, 3, 7, 3, 3, 45, 15, 29, 413, 631, 273, 1007, 2979, 11307, 24535, 9305, 83591, 77121}},
-{16664, 18, 54991, {1, 3, 7, 15, 21, 55, 11, 169, 417, 631, 141, 1489, 3371, 16073, 11215, 15479, 125341, 131731}},
-{16665, 18, 55003, {1, 1, 7, 5, 13, 33, 7, 121, 295, 191, 497, 2233, 997, 13833, 14503, 38357, 79007, 53985}},
-{16666, 18, 55009, {1, 3, 3, 3, 29, 63, 97, 27, 449, 643, 317, 1989, 1481, 2873, 21247, 35989, 61295, 101829}},
-{16667, 18, 55030, {1, 3, 1, 7, 13, 49, 27, 227, 21, 983, 179, 2761, 2859, 2851, 26447, 33295, 126963, 41441}},
-{16668, 18, 55034, {1, 1, 5, 13, 27, 1, 61, 115, 185, 867, 2017, 2257, 5035, 7855, 25849, 48189, 28287, 133261}},
-{16669, 18, 55039, {1, 1, 7, 13, 27, 17, 13, 205, 379, 717, 247, 3341, 2841, 10845, 26979, 5589, 1935, 48371}},
-{16670, 18, 55048, {1, 3, 1, 11, 9, 51, 25, 185, 65, 643, 1867, 3825, 3395, 8883, 29239, 20019, 19071, 3377}},
-{16671, 18, 55059, {1, 1, 1, 1, 11, 57, 61, 113, 419, 249, 153, 2883, 87, 7919, 11941, 46725, 38701, 73715}},
-{16672, 18, 55061, {1, 3, 3, 11, 3, 15, 19, 87, 27, 839, 463, 1757, 3137, 10821, 2857, 58101, 91983, 137045}},
-{16673, 18, 55068, {1, 3, 3, 1, 25, 25, 15, 93, 359, 5, 53, 647, 6245, 1957, 4651, 14697, 12193, 231303}},
-{16674, 18, 55077, {1, 1, 5, 9, 31, 49, 69, 223, 133, 595, 777, 1281, 727, 6671, 21453, 14193, 51769, 258301}},
-{16675, 18, 55122, {1, 3, 5, 11, 29, 37, 75, 17, 229, 121, 313, 2873, 5233, 13231, 7589, 40075, 42101, 137697}},
-{16676, 18, 55149, {1, 1, 7, 1, 31, 9, 15, 63, 149, 5, 1785, 21, 2619, 15071, 3243, 58023, 20697, 205181}},
-{16677, 18, 55157, {1, 3, 7, 7, 25, 61, 59, 157, 251, 303, 1905, 2389, 1681, 319, 14155, 49089, 45381, 124447}},
-{16678, 18, 55158, {1, 3, 5, 5, 25, 27, 41, 125, 105, 867, 365, 117, 7215, 2887, 28499, 9597, 105999, 150189}},
-{16679, 18, 55178, {1, 1, 5, 13, 5, 33, 47, 221, 207, 641, 525, 3215, 5293, 16343, 16169, 44393, 26305, 194411}},
-{16680, 18, 55222, {1, 3, 5, 13, 29, 17, 31, 77, 511, 465, 1141, 597, 5111, 6629, 14557, 13057, 11643, 250925}},
-{16681, 18, 55234, {1, 1, 7, 11, 1, 5, 65, 139, 471, 265, 1145, 965, 47, 10971, 15615, 62031, 58523, 175593}},
-{16682, 18, 55236, {1, 1, 5, 1, 23, 61, 57, 139, 377, 843, 79, 2873, 1823, 7551, 26741, 63031, 124879, 115295}},
-{16683, 18, 55251, {1, 1, 5, 13, 9, 19, 1, 61, 331, 1015, 1035, 1691, 4057, 6071, 24929, 39569, 95695, 39307}},
-{16684, 18, 55269, {1, 3, 3, 5, 23, 17, 13, 65, 381, 893, 1879, 3735, 1547, 6735, 30251, 11471, 102997, 126429}},
-{16685, 18, 55270, {1, 1, 5, 13, 1, 43, 15, 1, 155, 221, 1463, 3793, 6467, 7221, 28027, 55357, 69397, 87565}},
-{16686, 18, 55284, {1, 1, 7, 3, 17, 9, 71, 75, 77, 639, 1251, 701, 473, 12337, 1893, 6349, 10837, 27797}},
-{16687, 18, 55309, {1, 3, 5, 11, 11, 11, 125, 23, 161, 937, 707, 2487, 695, 8495, 16219, 33671, 109463, 248305}},
-{16688, 18, 55322, {1, 1, 1, 11, 5, 49, 15, 47, 393, 407, 39, 1867, 7727, 12701, 7805, 119, 77401, 186421}},
-{16689, 18, 55334, {1, 1, 5, 5, 19, 21, 77, 187, 387, 51, 1497, 1225, 3101, 791, 529, 4321, 118435, 112889}},
-{16690, 18, 55340, {1, 3, 1, 13, 27, 17, 11, 63, 201, 909, 1549, 3243, 1803, 9461, 20985, 24637, 100993, 200473}},
-{16691, 18, 55348, {1, 3, 7, 13, 11, 35, 97, 213, 415, 467, 2013, 2159, 7017, 7895, 18235, 50659, 113169, 141887}},
-{16692, 18, 55377, {1, 1, 3, 7, 13, 21, 119, 109, 471, 323, 277, 1685, 2399, 14777, 2643, 5879, 113043, 45223}},
-{16693, 18, 55430, {1, 3, 1, 13, 19, 5, 1, 75, 499, 297, 1897, 591, 3223, 12939, 30593, 4053, 122207, 215171}},
-{16694, 18, 55433, {1, 3, 3, 9, 21, 11, 29, 205, 13, 381, 569, 599, 7089, 8145, 18531, 34477, 101057, 64269}},
-{16695, 18, 55441, {1, 1, 5, 15, 1, 19, 37, 131, 325, 441, 3, 4001, 6937, 9207, 27543, 30321, 37083, 241019}},
-{16696, 18, 55470, {1, 3, 7, 13, 7, 15, 9, 159, 97, 905, 557, 1913, 7325, 4057, 19461, 14277, 36873, 25619}},
-{16697, 18, 55535, {1, 3, 5, 7, 3, 51, 99, 9, 185, 227, 2041, 331, 3925, 12481, 17485, 37137, 3753, 125269}},
-{16698, 18, 55561, {1, 1, 7, 11, 31, 49, 89, 37, 49, 863, 833, 3263, 351, 6277, 23055, 49727, 25005, 161585}},
-{16699, 18, 55567, {1, 3, 5, 1, 9, 35, 89, 101, 117, 365, 1015, 1159, 4623, 4541, 6831, 28091, 10647, 221415}},
-{16700, 18, 55597, {1, 1, 5, 5, 13, 47, 125, 209, 199, 885, 927, 1411, 795, 8835, 28589, 48753, 27191, 53455}},
-{16701, 18, 55630, {1, 1, 5, 9, 7, 19, 3, 87, 157, 121, 1433, 1463, 3241, 5969, 203, 36723, 14779, 63949}},
-{16702, 18, 55648, {1, 1, 3, 9, 1, 47, 71, 113, 405, 561, 1149, 3599, 4173, 6819, 5493, 45987, 41521, 221503}},
-{16703, 18, 55653, {1, 3, 3, 1, 3, 55, 101, 103, 161, 549, 457, 2529, 2043, 8843, 5677, 7449, 45185, 178289}},
-{16704, 18, 55657, {1, 1, 1, 3, 31, 25, 1, 161, 7, 503, 641, 2221, 749, 1521, 6151, 19245, 55913, 80141}},
-{16705, 18, 55665, {1, 1, 1, 9, 3, 45, 73, 217, 249, 929, 163, 2139, 3921, 11223, 11161, 52697, 89633, 14243}},
-{16706, 18, 55678, {1, 1, 7, 15, 17, 41, 5, 119, 211, 53, 985, 2679, 679, 9349, 25577, 26947, 35141, 93999}},
-{16707, 18, 55684, {1, 3, 1, 15, 17, 43, 51, 15, 363, 615, 889, 195, 6279, 15477, 31545, 50941, 119711, 66535}},
-{16708, 18, 55691, {1, 1, 1, 13, 7, 11, 17, 127, 131, 759, 739, 161, 5937, 13611, 31757, 10681, 101357, 82873}},
-{16709, 18, 55693, {1, 3, 5, 7, 21, 63, 75, 33, 233, 981, 589, 3409, 3523, 1871, 8919, 38513, 32825, 56935}},
-{16710, 18, 55702, {1, 3, 5, 3, 9, 9, 85, 221, 203, 727, 1035, 1069, 2409, 2687, 235, 23395, 64163, 193235}},
-{16711, 18, 55708, {1, 3, 3, 7, 1, 35, 119, 175, 203, 819, 207, 2283, 4175, 3581, 11647, 43073, 104573, 86607}},
-{16712, 18, 55715, {1, 3, 3, 15, 11, 63, 59, 153, 279, 779, 261, 3317, 7671, 11727, 19381, 33227, 79331, 187227}},
-{16713, 18, 55739, {1, 1, 3, 1, 7, 1, 115, 15, 235, 9, 1877, 1911, 1089, 9939, 9537, 39563, 95327, 70323}},
-{16714, 18, 55761, {1, 1, 5, 7, 25, 61, 63, 145, 425, 617, 1813, 3255, 6797, 16019, 18849, 44191, 69877, 179933}},
-{16715, 18, 55767, {1, 1, 3, 13, 17, 45, 69, 247, 27, 367, 871, 1185, 895, 7991, 8145, 22869, 97609, 14673}},
-{16716, 18, 55768, {1, 3, 3, 11, 19, 41, 99, 213, 159, 803, 121, 1197, 2849, 15191, 15603, 52445, 105077, 128231}},
-{16717, 18, 55774, {1, 3, 1, 11, 21, 61, 117, 167, 437, 447, 419, 1673, 755, 15331, 29819, 16099, 130773, 177547}},
-{16718, 18, 55787, {1, 3, 7, 7, 1, 15, 79, 109, 351, 71, 985, 89, 7517, 4175, 30533, 52125, 100863, 186477}},
-{16719, 18, 55811, {1, 1, 3, 1, 15, 1, 103, 65, 511, 241, 1279, 3233, 7141, 255, 10925, 28271, 56151, 252121}},
-{16720, 18, 55835, {1, 1, 1, 13, 17, 49, 59, 93, 19, 343, 979, 865, 3447, 4595, 3067, 26807, 98915, 126237}},
-{16721, 18, 55894, {1, 3, 3, 5, 17, 5, 91, 199, 191, 775, 233, 919, 277, 3485, 9231, 37025, 23493, 186745}},
-{16722, 18, 55897, {1, 3, 1, 1, 11, 5, 103, 187, 85, 47, 1111, 883, 6155, 15315, 9041, 58275, 75037, 7773}},
-{16723, 18, 55904, {1, 3, 1, 3, 19, 5, 7, 211, 481, 713, 383, 1203, 6089, 15817, 31577, 7283, 25457, 101455}},
-{16724, 18, 55931, {1, 3, 5, 7, 21, 9, 59, 127, 375, 477, 721, 3931, 7089, 9079, 5015, 62019, 113747, 36055}},
-{16725, 18, 55950, {1, 3, 7, 13, 3, 17, 47, 177, 103, 535, 1787, 509, 5253, 2857, 13421, 19875, 37397, 251353}},
-{16726, 18, 55961, {1, 1, 5, 7, 19, 31, 41, 93, 301, 45, 251, 2691, 4657, 2627, 17321, 24627, 80221, 117191}},
-{16727, 18, 55973, {1, 3, 5, 7, 5, 31, 27, 3, 463, 549, 1669, 499, 815, 4091, 7049, 60957, 102849, 235617}},
-{16728, 18, 56078, {1, 3, 5, 1, 21, 31, 57, 201, 503, 977, 893, 3927, 1605, 8265, 5137, 51009, 89375, 237909}},
-{16729, 18, 56099, {1, 3, 3, 1, 27, 5, 11, 81, 445, 229, 5, 543, 3397, 12961, 31911, 36945, 59485, 305}},
-{16730, 18, 56105, {1, 1, 5, 13, 31, 63, 39, 171, 243, 39, 1147, 459, 7215, 14603, 20625, 47369, 121495, 237741}},
-{16731, 18, 56119, {1, 3, 3, 13, 15, 63, 39, 23, 305, 685, 1885, 571, 2657, 16031, 24759, 10639, 25619, 246137}},
-{16732, 18, 56133, {1, 1, 1, 5, 19, 33, 5, 187, 167, 725, 1405, 511, 701, 13283, 3513, 16495, 8755, 221751}},
-{16733, 18, 56168, {1, 1, 7, 11, 3, 27, 27, 237, 495, 637, 479, 3247, 3825, 2567, 12853, 52881, 34807, 161483}},
-{16734, 18, 56191, {1, 3, 3, 9, 23, 43, 101, 175, 19, 443, 787, 1053, 4113, 12777, 4615, 53115, 2873, 117383}},
-{16735, 18, 56202, {1, 3, 1, 13, 3, 23, 33, 93, 145, 937, 957, 2463, 827, 383, 16749, 61567, 10029, 188159}},
-{16736, 18, 56209, {1, 1, 7, 15, 21, 23, 3, 71, 323, 995, 645, 1189, 1029, 519, 3479, 13587, 95641, 215337}},
-{16737, 18, 56215, {1, 3, 7, 11, 9, 17, 101, 59, 421, 417, 797, 3089, 773, 15959, 18127, 13681, 104667, 217433}},
-{16738, 18, 56232, {1, 3, 5, 7, 31, 21, 9, 7, 377, 589, 1497, 939, 5389, 10997, 22291, 19639, 72187, 66193}},
-{16739, 18, 56240, {1, 1, 1, 13, 19, 1, 127, 185, 251, 167, 1289, 2715, 5885, 12715, 18261, 36861, 102721, 246917}},
-{16740, 18, 56260, {1, 1, 7, 1, 23, 41, 19, 151, 125, 465, 813, 1711, 7933, 13561, 29737, 59207, 62533, 124149}},
-{16741, 18, 56270, {1, 3, 5, 9, 7, 13, 17, 119, 425, 877, 1207, 2211, 2943, 13921, 28251, 44143, 112149, 152341}},
-{16742, 18, 56278, {1, 3, 5, 9, 15, 21, 87, 83, 77, 731, 91, 3091, 5687, 9647, 2037, 39031, 106583, 66533}},
-{16743, 18, 56281, {1, 1, 7, 9, 31, 49, 7, 119, 147, 599, 1191, 297, 1597, 10723, 16893, 47387, 106995, 165409}},
-{16744, 18, 56288, {1, 3, 3, 3, 3, 63, 11, 193, 241, 63, 1671, 2139, 5689, 13967, 9239, 7535, 34237, 140283}},
-{16745, 18, 56303, {1, 3, 5, 13, 9, 23, 65, 247, 473, 825, 109, 1897, 245, 10517, 8147, 25989, 96447, 118689}},
-{16746, 18, 56308, {1, 1, 3, 5, 27, 35, 65, 23, 159, 729, 189, 2661, 4245, 14377, 21043, 15551, 2717, 146949}},
-{16747, 18, 56312, {1, 1, 3, 13, 23, 5, 35, 63, 293, 347, 883, 149, 5145, 10821, 5813, 24183, 94711, 64787}},
-{16748, 18, 56320, {1, 1, 5, 3, 27, 3, 127, 141, 237, 535, 1509, 2755, 5843, 2379, 19413, 52345, 100247, 42571}},
-{16749, 18, 56326, {1, 3, 3, 9, 1, 55, 61, 105, 29, 1021, 1215, 2157, 7453, 4643, 26793, 33553, 2959, 51485}},
-{16750, 18, 56392, {1, 1, 3, 7, 31, 51, 59, 49, 321, 207, 415, 2115, 219, 5045, 31133, 17961, 130779, 28255}},
-{16751, 18, 56395, {1, 3, 7, 15, 9, 29, 31, 185, 111, 959, 7, 827, 7891, 5449, 22221, 49933, 2091, 194683}},
-{16752, 18, 56403, {1, 3, 7, 1, 11, 59, 75, 255, 387, 913, 423, 2915, 5079, 6363, 5175, 57977, 5559, 13257}},
-{16753, 18, 56419, {1, 1, 7, 1, 21, 3, 21, 13, 157, 3, 715, 3525, 7769, 5333, 25345, 53473, 44323, 203167}},
-{16754, 18, 56428, {1, 1, 7, 11, 31, 25, 55, 5, 169, 695, 1599, 2357, 1427, 14469, 15223, 34275, 42605, 23005}},
-{16755, 18, 56450, {1, 1, 1, 15, 19, 51, 117, 135, 297, 831, 329, 3793, 4673, 3795, 24185, 52971, 30423, 68771}},
-{16756, 18, 56452, {1, 1, 7, 5, 19, 33, 79, 77, 315, 29, 307, 1709, 3489, 14515, 12477, 58939, 53753, 165031}},
-{16757, 18, 56485, {1, 1, 7, 1, 27, 57, 119, 207, 355, 279, 1371, 3917, 2821, 5285, 12673, 28973, 54957, 94001}},
-{16758, 18, 56486, {1, 3, 7, 3, 19, 57, 53, 199, 485, 805, 301, 1337, 5993, 2187, 30573, 12045, 101205, 129841}},
-{16759, 18, 56492, {1, 1, 3, 9, 15, 45, 71, 119, 445, 759, 1361, 1299, 2927, 2343, 22085, 53733, 21241, 1553}},
-{16760, 18, 56498, {1, 3, 5, 3, 27, 11, 1, 239, 497, 343, 1989, 1463, 2473, 5191, 6271, 14129, 124453, 96817}},
-{16761, 18, 56510, {1, 3, 5, 7, 27, 19, 123, 27, 483, 557, 1545, 1871, 1297, 587, 1067, 51259, 119231, 173659}},
-{16762, 18, 56512, {1, 3, 1, 1, 27, 45, 41, 113, 453, 553, 2019, 2039, 1709, 13017, 5497, 34459, 60295, 229405}},
-{16763, 18, 56524, {1, 3, 1, 11, 1, 57, 51, 125, 261, 915, 1673, 25, 529, 653, 17247, 64225, 98991, 248143}},
-{16764, 18, 56530, {1, 3, 5, 15, 25, 27, 31, 1, 463, 249, 113, 1955, 2223, 5463, 12281, 20843, 26495, 256759}},
-{16765, 18, 56545, {1, 1, 3, 11, 27, 33, 57, 205, 89, 435, 1983, 1165, 3843, 127, 30179, 63971, 10211, 105403}},
-{16766, 18, 56551, {1, 3, 3, 5, 21, 49, 35, 161, 273, 205, 41, 1881, 2013, 12549, 24859, 55711, 98235, 237281}},
-{16767, 18, 56565, {1, 3, 3, 1, 15, 35, 95, 1, 221, 675, 385, 2257, 2531, 2129, 12895, 11565, 125977, 51973}},
-{16768, 18, 56580, {1, 1, 1, 15, 19, 61, 35, 55, 9, 721, 499, 2577, 3001, 14861, 22293, 56195, 72855, 166703}},
-{16769, 18, 56587, {1, 1, 1, 7, 5, 25, 59, 175, 81, 989, 935, 2579, 8183, 1109, 4645, 53753, 115795, 105091}},
-{16770, 18, 56589, {1, 3, 3, 13, 7, 55, 7, 113, 197, 763, 1747, 3291, 1109, 4391, 18257, 28563, 97413, 5847}},
-{16771, 18, 56592, {1, 1, 1, 7, 23, 55, 91, 83, 479, 305, 843, 2055, 3405, 15243, 31551, 5275, 8651, 66915}},
-{16772, 18, 56611, {1, 3, 7, 9, 3, 19, 83, 229, 235, 903, 1495, 1033, 2729, 14927, 11847, 22979, 13905, 84413}},
-{16773, 18, 56623, {1, 3, 3, 13, 27, 37, 83, 193, 475, 439, 745, 757, 7359, 6683, 5839, 50765, 6933, 117411}},
-{16774, 18, 56635, {1, 3, 5, 11, 31, 25, 33, 77, 113, 815, 123, 2721, 2133, 8995, 15237, 54565, 5155, 51235}},
-{16775, 18, 56646, {1, 3, 3, 7, 15, 31, 73, 91, 379, 39, 913, 53, 41, 1059, 25883, 11769, 63015, 48125}},
-{16776, 18, 56660, {1, 1, 5, 5, 5, 13, 81, 169, 71, 529, 1429, 2101, 4069, 5509, 30283, 40625, 103673, 183243}},
-{16777, 18, 56680, {1, 3, 3, 5, 23, 39, 39, 237, 445, 567, 343, 2521, 2287, 1851, 2315, 59979, 5015, 243349}},
-{16778, 18, 56686, {1, 1, 7, 1, 1, 51, 89, 229, 187, 207, 245, 3521, 2987, 4347, 6997, 62565, 54397, 140473}},
-{16779, 18, 56716, {1, 3, 1, 5, 7, 59, 45, 161, 457, 655, 1591, 215, 2213, 15101, 14791, 40397, 95811, 126291}},
-{16780, 18, 56749, {1, 1, 3, 1, 5, 23, 7, 199, 143, 561, 1669, 17, 8109, 11003, 4535, 8593, 112021, 223153}},
-{16781, 18, 56790, {1, 3, 5, 9, 3, 37, 111, 15, 235, 697, 385, 2197, 909, 1247, 26199, 50661, 100643, 122577}},
-{16782, 18, 56809, {1, 3, 5, 11, 23, 53, 95, 75, 463, 137, 1511, 3373, 3071, 547, 22399, 51891, 9123, 240925}},
-{16783, 18, 56869, {1, 3, 7, 3, 21, 35, 69, 197, 371, 15, 185, 3539, 29, 15071, 17069, 34669, 37023, 189385}},
-{16784, 18, 56884, {1, 1, 1, 15, 5, 21, 7, 5, 201, 881, 841, 827, 503, 3545, 17771, 64481, 65105, 209947}},
-{16785, 18, 56887, {1, 1, 1, 5, 3, 31, 83, 201, 455, 169, 1797, 1769, 1999, 8629, 14313, 16851, 64955, 180631}},
-{16786, 18, 56893, {1, 1, 5, 5, 1, 35, 49, 61, 499, 619, 1509, 3015, 237, 8979, 3471, 11513, 80193, 24135}},
-{16787, 18, 56906, {1, 3, 3, 9, 25, 29, 111, 19, 339, 739, 1751, 2671, 5399, 5965, 3943, 45577, 70605, 203117}},
-{16788, 18, 56932, {1, 3, 3, 7, 3, 9, 15, 147, 177, 545, 161, 2211, 4653, 15891, 15939, 19153, 77827, 245787}},
-{16789, 18, 56959, {1, 1, 1, 1, 25, 47, 37, 159, 273, 825, 1037, 2047, 7149, 5517, 699, 49687, 110115, 159475}},
-{16790, 18, 56965, {1, 3, 1, 7, 7, 55, 77, 231, 197, 381, 2013, 2421, 7551, 9955, 21031, 11365, 48271, 190147}},
-{16791, 18, 56983, {1, 1, 5, 9, 25, 1, 81, 145, 215, 427, 905, 2307, 6149, 12777, 131, 57091, 106137, 24625}},
-{16792, 18, 57018, {1, 3, 1, 13, 13, 63, 103, 245, 275, 745, 841, 2993, 2083, 8903, 4499, 55979, 22323, 244447}},
-{16793, 18, 57023, {1, 1, 5, 5, 15, 11, 59, 181, 191, 219, 599, 59, 1079, 4445, 16537, 31127, 103257, 233855}},
-{16794, 18, 57025, {1, 3, 7, 9, 9, 37, 109, 41, 145, 1001, 609, 551, 6843, 13791, 15103, 27851, 7693, 145207}},
-{16795, 18, 57032, {1, 3, 1, 9, 3, 35, 63, 219, 49, 567, 1537, 1327, 6487, 16039, 26019, 13851, 116929, 175121}},
-{16796, 18, 57040, {1, 3, 7, 15, 17, 31, 27, 91, 241, 229, 485, 2601, 3859, 12609, 19847, 31939, 50815, 235529}},
-{16797, 18, 57046, {1, 1, 5, 15, 27, 31, 3, 47, 69, 427, 95, 1445, 1223, 2953, 32343, 6841, 67851, 79561}},
-{16798, 18, 57071, {1, 3, 5, 13, 13, 37, 19, 127, 259, 139, 1597, 651, 4845, 6413, 18205, 56005, 32107, 140783}},
-{16799, 18, 57091, {1, 1, 7, 5, 15, 23, 81, 195, 127, 113, 499, 733, 5907, 12107, 18105, 28113, 16111, 152327}},
-{16800, 18, 57094, {1, 1, 5, 15, 9, 49, 109, 181, 187, 591, 1625, 3641, 313, 1225, 11725, 9047, 30351, 124301}},
-{16801, 18, 57108, {1, 3, 1, 1, 9, 45, 103, 219, 155, 805, 1775, 759, 1687, 11415, 21623, 37831, 18995, 21667}},
-{16802, 18, 57122, {1, 3, 3, 5, 25, 13, 11, 37, 489, 935, 373, 811, 5045, 3615, 2111, 22909, 117155, 69483}},
-{16803, 18, 57127, {1, 3, 3, 5, 9, 45, 71, 87, 265, 93, 161, 2983, 1023, 3633, 5965, 9499, 35653, 219257}},
-{16804, 18, 57168, {1, 1, 5, 13, 21, 27, 101, 231, 85, 469, 1023, 3735, 5093, 253, 22585, 61975, 81041, 4175}},
-{16805, 18, 57183, {1, 3, 1, 7, 5, 41, 105, 153, 391, 5, 1917, 331, 7679, 14359, 13177, 40755, 78669, 133527}},
-{16806, 18, 57184, {1, 3, 3, 15, 21, 61, 87, 63, 227, 195, 1095, 1629, 7787, 5887, 20855, 30203, 61973, 30627}},
-{16807, 18, 57193, {1, 3, 1, 15, 31, 41, 125, 223, 201, 717, 1309, 595, 5333, 10585, 32525, 8597, 92637, 111073}},
-{16808, 18, 57202, {1, 3, 5, 3, 21, 29, 39, 105, 275, 515, 503, 79, 6715, 14203, 14035, 20871, 122417, 243167}},
-{16809, 18, 57235, {1, 3, 7, 5, 29, 41, 3, 89, 165, 879, 773, 3989, 3945, 4771, 2809, 59105, 37177, 193887}},
-{16810, 18, 57237, {1, 3, 3, 3, 27, 1, 91, 191, 135, 257, 527, 2971, 7117, 6013, 8735, 52363, 110617, 96959}},
-{16811, 18, 57251, {1, 3, 7, 9, 3, 63, 67, 67, 231, 23, 1539, 771, 1485, 4331, 19231, 50539, 15081, 75945}},
-{16812, 18, 57289, {1, 3, 3, 11, 29, 11, 77, 67, 497, 861, 21, 2939, 2463, 14435, 27399, 19733, 118207, 60909}},
-{16813, 18, 57349, {1, 1, 5, 5, 1, 11, 117, 55, 485, 877, 1213, 2231, 2613, 14027, 18491, 45431, 113303, 28457}},
-{16814, 18, 57359, {1, 3, 7, 1, 13, 49, 77, 59, 455, 251, 1033, 3451, 7641, 389, 3987, 62361, 90125, 94569}},
-{16815, 18, 57374, {1, 1, 7, 15, 3, 5, 45, 173, 343, 445, 1871, 2505, 1385, 2641, 21299, 35139, 61781, 101195}},
-{16816, 18, 57377, {1, 3, 1, 9, 25, 27, 89, 123, 473, 901, 1513, 2585, 5641, 13123, 22653, 32985, 15763, 9161}},
-{16817, 18, 57387, {1, 3, 3, 9, 29, 41, 5, 127, 489, 715, 1981, 3953, 3557, 10081, 31913, 52191, 118727, 4443}},
-{16818, 18, 57415, {1, 1, 5, 1, 19, 57, 125, 33, 253, 297, 265, 2249, 6859, 14971, 3519, 24783, 127491, 210441}},
-{16819, 18, 57440, {1, 1, 7, 7, 31, 1, 47, 175, 305, 933, 679, 317, 7511, 13219, 9509, 61183, 58907, 72905}},
-{16820, 18, 57446, {1, 1, 1, 7, 13, 49, 75, 85, 341, 911, 1217, 3631, 1849, 9715, 23193, 947, 106647, 180455}},
-{16821, 18, 57450, {1, 1, 7, 7, 1, 49, 91, 195, 329, 771, 607, 1707, 2723, 291, 21393, 6549, 31645, 151431}},
-{16822, 18, 57469, {1, 3, 7, 5, 17, 57, 7, 231, 247, 217, 1729, 3231, 7515, 15341, 18681, 21733, 28723, 228187}},
-{16823, 18, 57491, {1, 1, 5, 9, 5, 19, 121, 251, 43, 951, 957, 173, 4863, 5027, 6781, 29421, 4877, 47749}},
-{16824, 18, 57503, {1, 3, 7, 7, 11, 33, 107, 233, 329, 589, 869, 913, 7687, 13223, 27577, 24379, 13037, 214713}},
-{16825, 18, 57507, {1, 3, 7, 13, 1, 13, 121, 103, 387, 193, 543, 3085, 4323, 9885, 24499, 34985, 45763, 13107}},
-{16826, 18, 57542, {1, 1, 3, 15, 25, 63, 85, 41, 457, 779, 1199, 2235, 309, 2549, 3341, 36265, 17873, 32361}},
-{16827, 18, 57569, {1, 3, 3, 3, 15, 31, 11, 57, 499, 415, 1625, 1195, 6863, 6073, 25083, 57705, 76203, 130993}},
-{16828, 18, 57599, {1, 3, 5, 5, 21, 13, 43, 161, 255, 31, 1901, 3325, 3209, 9809, 8227, 9005, 57263, 95095}},
-{16829, 18, 57601, {1, 1, 3, 15, 13, 33, 5, 123, 291, 579, 1747, 3319, 7351, 1679, 11365, 26909, 74445, 139017}},
-{16830, 18, 57607, {1, 1, 3, 13, 17, 39, 1, 253, 487, 935, 1711, 1397, 503, 7817, 28509, 20665, 78551, 204319}},
-{16831, 18, 57608, {1, 1, 3, 1, 5, 39, 123, 105, 305, 77, 63, 3285, 7463, 11199, 647, 37757, 91083, 108325}},
-{16832, 18, 57625, {1, 1, 7, 5, 9, 49, 121, 155, 389, 119, 1327, 3583, 7715, 2705, 20047, 19151, 101455, 205263}},
-{16833, 18, 57644, {1, 1, 5, 7, 31, 23, 13, 109, 103, 41, 433, 3609, 4973, 11481, 8381, 4725, 113633, 134651}},
-{16834, 18, 57662, {1, 3, 7, 7, 25, 25, 107, 189, 89, 625, 187, 2185, 713, 10107, 11139, 63681, 97005, 79329}},
-{16835, 18, 57664, {1, 3, 1, 11, 3, 41, 43, 161, 337, 955, 1035, 451, 5989, 3593, 18087, 22667, 110213, 128545}},
-{16836, 18, 57674, {1, 1, 5, 1, 25, 31, 95, 113, 205, 565, 557, 3885, 7163, 10703, 27159, 11395, 117459, 52439}},
-{16837, 18, 57698, {1, 1, 1, 5, 27, 31, 39, 61, 323, 983, 1361, 2387, 5401, 8287, 17855, 49783, 65327, 202861}},
-{16838, 18, 57700, {1, 3, 5, 3, 31, 39, 105, 113, 183, 311, 667, 945, 3677, 14623, 27907, 16673, 77899, 182863}},
-{16839, 18, 57709, {1, 1, 5, 3, 17, 27, 99, 93, 81, 805, 1799, 2855, 6859, 3917, 26177, 22307, 59213, 210123}},
-{16840, 18, 57724, {1, 3, 5, 1, 19, 37, 51, 65, 495, 229, 229, 1283, 2967, 5329, 24339, 58739, 23145, 7033}},
-{16841, 18, 57728, {1, 3, 3, 15, 11, 51, 121, 41, 75, 845, 1771, 3625, 6137, 3463, 11767, 45181, 70907, 42771}},
-{16842, 18, 57740, {1, 3, 7, 9, 15, 25, 55, 219, 265, 655, 167, 1247, 5409, 5623, 21045, 12333, 25799, 218601}},
-{16843, 18, 57745, {1, 3, 3, 13, 31, 39, 77, 155, 471, 969, 755, 2745, 3057, 3621, 32423, 48687, 9409, 90997}},
-{16844, 18, 57751, {1, 1, 3, 15, 27, 1, 77, 231, 147, 235, 2027, 4045, 7431, 14655, 6361, 43155, 9839, 161713}},
-{16845, 18, 57774, {1, 3, 7, 5, 25, 19, 25, 75, 415, 931, 457, 3691, 687, 4849, 15469, 42871, 37949, 74163}},
-{16846, 18, 57782, {1, 3, 5, 9, 17, 19, 29, 117, 387, 1021, 1159, 2467, 2585, 2563, 9155, 44763, 93319, 6321}},
-{16847, 18, 57796, {1, 3, 5, 7, 25, 33, 127, 175, 143, 705, 539, 2563, 945, 11369, 19971, 19019, 116195, 84121}},
-{16848, 18, 57803, {1, 3, 7, 7, 5, 55, 29, 1, 419, 715, 1275, 2983, 7853, 12245, 32109, 27371, 123547, 82723}},
-{16849, 18, 57823, {1, 1, 1, 13, 3, 29, 31, 213, 195, 609, 1465, 1711, 6747, 13309, 1131, 3151, 48779, 91571}},
-{16850, 18, 57863, {1, 1, 5, 3, 17, 7, 103, 7, 217, 87, 1641, 833, 4551, 14205, 15119, 6711, 111273, 200545}},
-{16851, 18, 57894, {1, 3, 1, 5, 3, 39, 99, 15, 433, 895, 165, 4049, 3183, 4385, 24695, 40009, 67151, 156643}},
-{16852, 18, 57925, {1, 1, 7, 3, 29, 9, 15, 27, 109, 1019, 327, 2837, 5297, 12455, 2355, 37703, 122995, 177871}},
-{16853, 18, 57971, {1, 1, 5, 15, 29, 5, 121, 117, 31, 155, 1027, 1105, 8057, 8677, 9523, 3019, 98801, 15539}},
-{16854, 18, 58013, {1, 3, 7, 3, 1, 1, 37, 67, 471, 317, 1571, 2801, 7383, 4339, 8095, 45685, 95885, 39577}},
-{16855, 18, 58020, {1, 3, 7, 13, 17, 13, 91, 79, 49, 321, 1235, 311, 129, 6537, 6643, 25813, 48251, 138823}},
-{16856, 18, 58032, {1, 1, 5, 3, 21, 19, 67, 61, 153, 611, 1819, 3755, 5959, 3419, 6117, 1159, 68925, 146199}},
-{16857, 18, 58038, {1, 1, 7, 9, 23, 3, 7, 13, 429, 463, 653, 3461, 6337, 4511, 18097, 44837, 99845, 37101}},
-{16858, 18, 58061, {1, 3, 5, 13, 9, 5, 123, 199, 83, 409, 1391, 1567, 7327, 8173, 30971, 18241, 7755, 185375}},
-{16859, 18, 58069, {1, 3, 1, 7, 19, 51, 51, 23, 85, 923, 1969, 2329, 7343, 12489, 16135, 64783, 117063, 141071}},
-{16860, 18, 58080, {1, 3, 1, 3, 23, 29, 5, 77, 207, 351, 367, 2097, 2639, 9255, 21971, 64167, 98069, 81153}},
-{16861, 18, 58089, {1, 1, 7, 15, 27, 1, 83, 255, 47, 935, 567, 3573, 3629, 5833, 483, 1001, 9337, 119847}},
-{16862, 18, 58107, {1, 3, 7, 11, 31, 53, 25, 35, 463, 51, 401, 3279, 7709, 11265, 17905, 40423, 26277, 43355}},
-{16863, 18, 58121, {1, 1, 7, 5, 9, 15, 73, 217, 239, 405, 1651, 2131, 6791, 11241, 21717, 7393, 77251, 28131}},
-{16864, 18, 58130, {1, 3, 5, 3, 13, 43, 115, 159, 215, 811, 1349, 2941, 2073, 1821, 6891, 17285, 72027, 137849}},
-{16865, 18, 58146, {1, 3, 3, 3, 15, 11, 29, 53, 307, 409, 1069, 3713, 3205, 6185, 2565, 14973, 46149, 162527}},
-{16866, 18, 58190, {1, 1, 3, 15, 21, 39, 61, 209, 211, 123, 697, 2285, 859, 2501, 5847, 56449, 106575, 261069}},
-{16867, 18, 58195, {1, 3, 3, 5, 25, 21, 39, 131, 189, 747, 1499, 1865, 3369, 9161, 12543, 63155, 70083, 69441}},
-{16868, 18, 58202, {1, 3, 1, 15, 31, 43, 127, 57, 169, 109, 979, 1399, 3065, 5865, 16891, 56003, 14319, 94109}},
-{16869, 18, 58237, {1, 1, 1, 13, 23, 57, 13, 239, 139, 41, 1959, 429, 209, 543, 21297, 15343, 16521, 52305}},
-{16870, 18, 58253, {1, 1, 7, 1, 17, 1, 115, 139, 93, 123, 867, 3257, 8135, 12089, 1503, 33287, 79283, 151419}},
-{16871, 18, 58299, {1, 3, 7, 7, 27, 17, 15, 253, 89, 959, 597, 2193, 3505, 13865, 2179, 58711, 114615, 15227}},
-{16872, 18, 58302, {1, 3, 7, 5, 1, 5, 105, 241, 361, 229, 1069, 3815, 1409, 4909, 31785, 46555, 123523, 53259}},
-{16873, 18, 58327, {1, 1, 5, 5, 15, 49, 13, 195, 467, 285, 1405, 3011, 2069, 8331, 13953, 31107, 46581, 154615}},
-{16874, 18, 58328, {1, 3, 5, 7, 21, 23, 17, 17, 345, 369, 1521, 3755, 2165, 15387, 2851, 11115, 60483, 236049}},
-{16875, 18, 58364, {1, 3, 3, 1, 5, 41, 53, 239, 127, 237, 609, 927, 3787, 5059, 1865, 52991, 56229, 102093}},
-{16876, 18, 58367, {1, 1, 7, 5, 23, 7, 15, 199, 325, 695, 1525, 3435, 3997, 11577, 22985, 57713, 94309, 218433}},
-{16877, 18, 58375, {1, 3, 3, 5, 25, 25, 61, 99, 237, 447, 1905, 783, 5239, 11415, 16833, 27815, 115539, 161111}},
-{16878, 18, 58394, {1, 1, 5, 9, 31, 49, 55, 199, 159, 751, 849, 1045, 5485, 8883, 8549, 11735, 35983, 161067}},
-{16879, 18, 58405, {1, 1, 5, 9, 23, 51, 79, 171, 87, 493, 1911, 3867, 3435, 493, 16639, 64085, 97797, 244959}},
-{16880, 18, 58417, {1, 1, 5, 11, 29, 33, 15, 107, 283, 545, 1995, 995, 7181, 3581, 8621, 42391, 117997, 397}},
-{16881, 18, 58424, {1, 3, 7, 13, 31, 25, 91, 75, 123, 451, 1023, 375, 4505, 13235, 8913, 34389, 77385, 168659}},
-{16882, 18, 58430, {1, 1, 3, 3, 3, 3, 85, 143, 173, 709, 1313, 593, 6931, 14609, 13803, 30305, 109089, 11473}},
-{16883, 18, 58452, {1, 3, 7, 5, 25, 45, 25, 223, 407, 597, 83, 2543, 3823, 13959, 9089, 28325, 29237, 57147}},
-{16884, 18, 58466, {1, 1, 1, 3, 25, 53, 57, 255, 231, 361, 109, 113, 6091, 13043, 28399, 29111, 57987, 137709}},
-{16885, 18, 58468, {1, 1, 1, 5, 11, 25, 53, 141, 275, 237, 1427, 1691, 6043, 8951, 10683, 17477, 117645, 89007}},
-{16886, 18, 58495, {1, 3, 3, 13, 7, 23, 73, 213, 285, 667, 1765, 1545, 1401, 12483, 6349, 47205, 25791, 16749}},
-{16887, 18, 58501, {1, 1, 1, 15, 31, 45, 105, 249, 385, 607, 723, 745, 7037, 15735, 3637, 29013, 127315, 165507}},
-{16888, 18, 58544, {1, 1, 7, 5, 21, 63, 95, 247, 161, 839, 939, 931, 4277, 7363, 8289, 55183, 122413, 152997}},
-{16889, 18, 58571, {1, 3, 7, 11, 15, 59, 91, 5, 209, 31, 1581, 979, 6289, 11443, 26641, 20183, 106907, 128647}},
-{16890, 18, 58609, {1, 1, 3, 15, 21, 33, 117, 89, 457, 405, 1971, 2211, 4379, 16189, 7933, 39351, 79813, 56373}},
-{16891, 18, 58610, {1, 3, 3, 9, 5, 9, 93, 75, 55, 271, 321, 3143, 3893, 2601, 26169, 35179, 43063, 156635}},
-{16892, 18, 58616, {1, 3, 3, 11, 29, 37, 95, 249, 221, 965, 423, 1637, 4663, 14839, 16757, 4261, 128453, 165593}},
-{16893, 18, 58619, {1, 3, 3, 7, 1, 55, 31, 235, 447, 839, 721, 1125, 6503, 4019, 23351, 37057, 96103, 143805}},
-{16894, 18, 58641, {1, 3, 7, 5, 31, 39, 7, 157, 469, 719, 1613, 395, 8133, 9753, 17323, 13849, 45409, 7601}},
-{16895, 18, 58642, {1, 3, 7, 7, 31, 37, 89, 215, 453, 659, 605, 3325, 987, 4611, 29667, 23229, 4201, 229675}},
-{16896, 18, 58648, {1, 1, 5, 5, 3, 3, 21, 249, 377, 343, 1751, 891, 5275, 14853, 32703, 51001, 6759, 162991}},
-{16897, 18, 58660, {1, 3, 1, 13, 11, 21, 55, 17, 495, 481, 1817, 919, 2495, 16367, 3343, 16997, 83437, 127791}},
-{16898, 18, 58675, {1, 3, 1, 1, 5, 57, 65, 223, 33, 491, 1953, 1521, 4903, 5007, 14583, 17321, 82231, 206299}},
-{16899, 18, 58678, {1, 3, 7, 11, 21, 45, 55, 141, 185, 379, 851, 885, 3385, 10311, 701, 2983, 71045, 171525}},
-{16900, 18, 58690, {1, 3, 7, 3, 29, 1, 53, 139, 7, 985, 291, 3949, 1163, 14637, 363, 59679, 121571, 121081}},
-{16901, 18, 58735, {1, 3, 7, 1, 31, 1, 111, 19, 421, 917, 1529, 1361, 4461, 12457, 9791, 19985, 77283, 117059}},
-{16902, 18, 58760, {1, 3, 1, 5, 7, 55, 93, 243, 477, 193, 1983, 489, 3735, 1391, 24035, 36395, 49101, 175861}},
-{16903, 18, 58766, {1, 1, 1, 11, 3, 25, 69, 167, 351, 193, 1299, 617, 7455, 2545, 18359, 9951, 119513, 128139}},
-{16904, 18, 58799, {1, 3, 3, 7, 5, 23, 101, 47, 385, 591, 345, 3501, 531, 3277, 28945, 18695, 58587, 87221}},
-{16905, 18, 58825, {1, 1, 3, 3, 29, 47, 5, 91, 365, 1, 2015, 323, 1601, 10615, 28975, 60263, 4813, 143351}},
-{16906, 18, 58836, {1, 3, 1, 7, 25, 43, 65, 211, 91, 759, 985, 3675, 5701, 4373, 27781, 51949, 40667, 102665}},
-{16907, 18, 58855, {1, 3, 3, 5, 3, 43, 91, 33, 247, 593, 849, 1955, 7769, 2307, 2877, 26037, 28907, 211021}},
-{16908, 18, 58864, {1, 3, 5, 15, 29, 29, 85, 97, 99, 979, 2033, 1415, 2955, 15733, 5567, 6241, 100195, 89077}},
-{16909, 18, 58910, {1, 3, 7, 13, 13, 19, 121, 211, 381, 73, 1131, 1881, 1693, 7873, 27557, 201, 24997, 202471}},
-{16910, 18, 58937, {1, 3, 1, 15, 15, 33, 11, 99, 479, 271, 1873, 1117, 3559, 6605, 15995, 44805, 12465, 71933}},
-{16911, 18, 58943, {1, 3, 5, 3, 19, 61, 15, 55, 423, 431, 1321, 3345, 1633, 4587, 24909, 54985, 31831, 181083}},
-{16912, 18, 58952, {1, 1, 3, 5, 29, 43, 49, 205, 415, 907, 1651, 57, 3043, 10763, 16255, 9567, 59453, 135637}},
-{16913, 18, 58965, {1, 3, 3, 1, 17, 11, 29, 33, 293, 203, 1687, 1565, 6131, 5435, 29023, 28425, 102151, 251913}},
-{16914, 18, 58988, {1, 1, 5, 7, 9, 9, 43, 191, 269, 681, 607, 3045, 2799, 14919, 8083, 57781, 19345, 49365}},
-{16915, 18, 58994, {1, 1, 5, 13, 11, 53, 67, 127, 117, 395, 575, 1651, 2601, 15019, 21413, 34433, 66847, 84159}},
-{16916, 18, 58999, {1, 3, 5, 5, 15, 59, 33, 41, 301, 699, 1479, 2285, 1813, 2459, 4775, 53213, 26039, 223155}},
-{16917, 18, 59006, {1, 3, 1, 15, 17, 57, 5, 211, 357, 175, 945, 3625, 3943, 12871, 26805, 29305, 8839, 107837}},
-{16918, 18, 59029, {1, 3, 5, 15, 21, 41, 105, 229, 265, 777, 2047, 767, 2901, 8873, 7631, 18545, 86697, 252965}},
-{16919, 18, 59033, {1, 1, 5, 11, 31, 63, 115, 119, 271, 921, 1221, 3341, 6083, 4293, 28581, 57323, 33889, 112577}},
-{16920, 18, 59069, {1, 1, 5, 5, 31, 21, 119, 93, 287, 139, 451, 2535, 3925, 10671, 21279, 55071, 76127, 248203}},
-{16921, 18, 59096, {1, 3, 7, 11, 19, 61, 61, 53, 203, 181, 963, 3581, 519, 14679, 7717, 31981, 128709, 197269}},
-{16922, 18, 59106, {1, 1, 1, 13, 25, 23, 89, 95, 221, 803, 1433, 3617, 3217, 2033, 7859, 14279, 107239, 5139}},
-{16923, 18, 59123, {1, 3, 7, 3, 29, 41, 87, 21, 71, 959, 1149, 2961, 7471, 11665, 16037, 5791, 110155, 35365}},
-{16924, 18, 59130, {1, 1, 1, 11, 21, 49, 101, 45, 311, 529, 1301, 1377, 983, 3937, 6967, 8413, 33511, 9617}},
-{16925, 18, 59152, {1, 3, 3, 5, 15, 41, 107, 49, 409, 537, 289, 3351, 5307, 16221, 907, 39847, 61579, 161487}},
-{16926, 18, 59162, {1, 1, 3, 11, 5, 49, 71, 107, 431, 469, 453, 1367, 7811, 10485, 3861, 62797, 82025, 253785}},
-{16927, 18, 59180, {1, 1, 3, 3, 27, 19, 89, 13, 445, 915, 1259, 1423, 3987, 3661, 18183, 18521, 18831, 191447}},
-{16928, 18, 59183, {1, 1, 7, 5, 13, 15, 9, 89, 129, 949, 1733, 245, 6815, 8477, 1273, 34737, 33027, 191415}},
-{16929, 18, 59195, {1, 1, 7, 15, 25, 63, 83, 195, 319, 987, 1395, 3559, 6287, 5139, 25967, 48711, 58467, 110983}},
-{16930, 18, 59205, {1, 1, 3, 9, 5, 3, 35, 171, 15, 883, 915, 2451, 871, 11741, 32715, 33475, 81711, 259157}},
-{16931, 18, 59210, {1, 1, 7, 13, 23, 63, 33, 11, 117, 351, 1701, 671, 6753, 5, 9477, 54701, 65507, 242621}},
-{16932, 18, 59217, {1, 3, 7, 11, 21, 37, 127, 143, 369, 819, 1369, 93, 7009, 3773, 30153, 30181, 120783, 137857}},
-{16933, 18, 59218, {1, 3, 3, 7, 27, 61, 15, 141, 67, 815, 1449, 1129, 4703, 3811, 3067, 61697, 8881, 110957}},
-{16934, 18, 59236, {1, 1, 7, 13, 31, 21, 59, 75, 335, 851, 503, 251, 4869, 11789, 30871, 14641, 19319, 156843}},
-{16935, 18, 59267, {1, 3, 5, 5, 9, 41, 11, 67, 231, 945, 37, 2925, 5723, 9053, 13477, 59735, 75181, 60335}},
-{16936, 18, 59298, {1, 1, 5, 1, 13, 39, 81, 43, 363, 611, 1661, 3833, 7387, 10531, 21319, 55579, 102705, 103009}},
-{16937, 18, 59318, {1, 3, 1, 7, 23, 25, 67, 179, 327, 401, 1693, 1453, 4773, 6363, 27169, 49747, 29055, 49145}},
-{16938, 18, 59321, {1, 3, 5, 7, 13, 47, 5, 175, 369, 921, 507, 113, 6069, 10919, 11099, 19795, 95819, 52419}},
-{16939, 18, 59327, {1, 1, 1, 5, 5, 53, 93, 47, 75, 837, 109, 3691, 6961, 10715, 14269, 63791, 1941, 136899}},
-{16940, 18, 59354, {1, 1, 1, 3, 1, 63, 57, 117, 157, 327, 879, 2411, 3987, 15393, 8503, 29829, 77795, 121307}},
-{16941, 18, 59363, {1, 3, 5, 1, 25, 5, 47, 45, 433, 121, 607, 1233, 6433, 3031, 16369, 58589, 79357, 151353}},
-{16942, 18, 59377, {1, 1, 1, 1, 9, 15, 77, 163, 225, 445, 1479, 1267, 2571, 2661, 21489, 5433, 123969, 191967}},
-{16943, 18, 59389, {1, 1, 7, 1, 9, 49, 17, 19, 449, 113, 1289, 2335, 3309, 2595, 17819, 18481, 86605, 125911}},
-{16944, 18, 59403, {1, 1, 5, 11, 11, 23, 65, 147, 257, 625, 1901, 913, 5711, 8159, 16237, 25133, 100059, 11395}},
-{16945, 18, 59420, {1, 3, 7, 13, 5, 33, 89, 189, 171, 185, 751, 2915, 5025, 15981, 14853, 12229, 52829, 59953}},
-{16946, 18, 59444, {1, 3, 1, 13, 3, 37, 15, 87, 463, 655, 1927, 2705, 1885, 14801, 3491, 52835, 81761, 90273}},
-{16947, 18, 59471, {1, 1, 7, 3, 5, 15, 29, 255, 199, 225, 647, 3215, 6795, 3821, 31763, 31059, 65495, 89981}},
-{16948, 18, 59476, {1, 1, 7, 7, 9, 25, 11, 85, 111, 283, 507, 2077, 2993, 5415, 31785, 16495, 82361, 122105}},
-{16949, 18, 59483, {1, 1, 3, 11, 27, 21, 127, 175, 397, 419, 1115, 2285, 223, 3881, 4187, 53759, 115035, 181647}},
-{16950, 18, 59502, {1, 3, 7, 11, 27, 31, 29, 233, 137, 827, 1009, 3879, 7595, 12989, 27655, 8517, 28083, 214985}},
-{16951, 18, 59509, {1, 3, 5, 9, 25, 23, 85, 191, 475, 445, 621, 1341, 4045, 4299, 24933, 32765, 20219, 86949}},
-{16952, 18, 59538, {1, 3, 1, 5, 25, 35, 121, 33, 199, 405, 163, 3487, 1087, 743, 21989, 47273, 49221, 124831}},
-{16953, 18, 59556, {1, 1, 5, 1, 7, 3, 91, 15, 335, 351, 1311, 777, 4303, 7203, 19465, 9135, 32251, 69805}},
-{16954, 18, 59571, {1, 3, 3, 7, 23, 55, 73, 77, 189, 801, 1877, 1901, 2675, 1015, 3041, 35925, 125903, 126227}},
-{16955, 18, 59592, {1, 3, 3, 1, 1, 23, 105, 75, 435, 743, 651, 1045, 579, 13637, 14821, 62683, 95229, 156475}},
-{16956, 18, 59610, {1, 3, 3, 5, 1, 53, 89, 239, 439, 195, 189, 731, 1805, 15123, 23315, 47737, 29167, 112081}},
-{16957, 18, 59654, {1, 1, 5, 7, 31, 11, 119, 191, 155, 61, 247, 915, 5813, 995, 20093, 23379, 118969, 65001}},
-{16958, 18, 59677, {1, 3, 7, 3, 1, 61, 45, 85, 295, 269, 539, 1787, 6639, 11093, 11303, 18509, 77637, 200743}},
-{16959, 18, 59699, {1, 3, 1, 1, 13, 17, 75, 51, 199, 151, 1529, 1443, 4983, 6723, 6071, 34711, 39159, 5441}},
-{16960, 18, 59716, {1, 3, 3, 3, 31, 15, 91, 125, 261, 683, 1769, 1697, 2761, 11373, 13607, 24933, 19079, 55497}},
-{16961, 18, 59719, {1, 1, 1, 15, 21, 49, 117, 99, 29, 969, 463, 3869, 1251, 8815, 16443, 46861, 82839, 233325}},
-{16962, 18, 59737, {1, 3, 5, 3, 27, 39, 89, 225, 161, 63, 61, 2875, 4037, 10413, 5067, 27893, 78825, 250207}},
-{16963, 18, 59747, {1, 1, 1, 9, 13, 49, 93, 11, 23, 25, 2003, 57, 3065, 11241, 13935, 2969, 44235, 39287}},
-{16964, 18, 59789, {1, 3, 3, 9, 21, 5, 55, 247, 193, 523, 575, 1235, 3277, 5253, 5293, 7919, 7573, 168809}},
-{16965, 18, 59807, {1, 3, 1, 13, 29, 39, 43, 21, 511, 205, 303, 703, 3861, 2467, 3909, 31597, 51081, 9863}},
-{16966, 18, 59811, {1, 3, 7, 1, 25, 55, 11, 131, 5, 49, 371, 1683, 1907, 5661, 1015, 15171, 101477, 11221}},
-{16967, 18, 59818, {1, 3, 5, 5, 9, 15, 93, 245, 357, 703, 701, 3675, 4527, 9225, 16137, 55433, 81887, 99153}},
-{16968, 18, 59825, {1, 1, 3, 3, 11, 1, 39, 251, 291, 599, 643, 231, 4031, 7055, 99, 14039, 81811, 184251}},
-{16969, 18, 59826, {1, 3, 5, 13, 29, 55, 11, 117, 325, 401, 2013, 3235, 995, 9255, 2741, 8211, 71451, 180619}},
-{16970, 18, 59832, {1, 1, 1, 5, 31, 41, 41, 175, 247, 3, 739, 1391, 3311, 5975, 16921, 4291, 75065, 161745}},
-{16971, 18, 59858, {1, 1, 7, 13, 23, 19, 13, 149, 203, 351, 2033, 1867, 3871, 14437, 3793, 17399, 99577, 171605}},
-{16972, 18, 59860, {1, 1, 5, 11, 7, 9, 1, 195, 261, 977, 315, 3771, 1179, 16281, 20747, 56309, 108609, 209205}},
-{16973, 18, 59873, {1, 3, 3, 5, 19, 15, 123, 153, 325, 601, 393, 753, 93, 4803, 24343, 42645, 128209, 45773}},
-{16974, 18, 59876, {1, 3, 1, 13, 3, 29, 97, 95, 115, 539, 155, 2789, 1277, 13127, 20383, 52807, 97295, 54589}},
-{16975, 18, 59907, {1, 1, 1, 3, 25, 59, 27, 149, 365, 317, 773, 3379, 5931, 14637, 19881, 37283, 118027, 21557}},
-{16976, 18, 59928, {1, 3, 5, 3, 25, 11, 101, 221, 199, 689, 515, 2255, 6107, 6259, 2853, 19039, 117089, 107181}},
-{16977, 18, 59933, {1, 3, 5, 7, 29, 63, 19, 113, 249, 147, 737, 3959, 209, 7001, 24263, 20443, 99923, 145709}},
-{16978, 18, 59938, {1, 1, 5, 9, 25, 37, 69, 41, 87, 369, 1913, 2255, 7581, 5301, 25751, 24981, 1183, 171969}},
-{16979, 18, 59940, {1, 3, 3, 1, 9, 25, 55, 5, 267, 295, 43, 819, 4569, 7065, 31527, 57811, 48721, 107707}},
-{16980, 18, 59958, {1, 1, 7, 9, 19, 19, 1, 199, 371, 1003, 597, 2097, 4071, 6185, 879, 13545, 30033, 120313}},
-{16981, 18, 59984, {1, 1, 1, 7, 9, 11, 51, 155, 309, 493, 899, 3121, 2085, 10541, 21979, 4725, 70381, 69643}},
-{16982, 18, 60020, {1, 1, 1, 1, 13, 45, 123, 119, 459, 295, 1005, 4093, 393, 11063, 27235, 28209, 1671, 215619}},
-{16983, 18, 60024, {1, 1, 7, 13, 19, 25, 125, 255, 509, 529, 1577, 3221, 4051, 7697, 2065, 42597, 86295, 131719}},
-{16984, 18, 60033, {1, 3, 3, 9, 19, 13, 21, 199, 97, 949, 1297, 379, 1801, 13247, 22563, 49517, 22757, 87371}},
-{16985, 18, 60034, {1, 3, 3, 1, 17, 63, 109, 175, 301, 565, 1181, 465, 3457, 7175, 21225, 33149, 122169, 148043}},
-{16986, 18, 60063, {1, 1, 1, 1, 5, 7, 21, 251, 53, 369, 955, 583, 4703, 9729, 15853, 55701, 29317, 27}},
-{16987, 18, 60070, {1, 3, 3, 1, 31, 3, 53, 57, 231, 441, 109, 149, 8107, 2303, 29729, 42279, 46909, 209877}},
-{16988, 18, 60087, {1, 1, 1, 11, 23, 57, 63, 189, 259, 657, 1653, 1155, 2885, 3317, 22559, 3145, 19151, 172507}},
-{16989, 18, 60091, {1, 3, 7, 5, 31, 63, 103, 147, 287, 685, 1197, 99, 4907, 12335, 12001, 20303, 75503, 231259}},
-{16990, 18, 60105, {1, 3, 3, 13, 15, 33, 63, 11, 99, 299, 97, 2669, 3635, 9969, 1525, 36555, 85215, 86915}},
-{16991, 18, 60126, {1, 3, 7, 5, 25, 47, 25, 61, 227, 939, 1719, 245, 2389, 14663, 30671, 22667, 38873, 245509}},
-{16992, 18, 60132, {1, 1, 3, 5, 25, 15, 105, 203, 57, 961, 1941, 1241, 3163, 6203, 19631, 10383, 19235, 57569}},
-{16993, 18, 60154, {1, 1, 3, 9, 1, 35, 41, 3, 449, 87, 641, 269, 1529, 14559, 16571, 4863, 21625, 921}},
-{16994, 18, 60174, {1, 1, 7, 11, 25, 53, 85, 209, 181, 417, 1657, 2117, 4581, 7069, 15533, 64475, 82381, 146943}},
-{16995, 18, 60181, {1, 3, 1, 7, 17, 53, 5, 199, 347, 887, 1041, 595, 1843, 10931, 30559, 42849, 73723, 220473}},
-{16996, 18, 60198, {1, 3, 7, 7, 21, 53, 105, 21, 141, 575, 1965, 2187, 7293, 13675, 2471, 1259, 42485, 62911}},
-{16997, 18, 60212, {1, 1, 3, 9, 5, 27, 21, 101, 101, 71, 1215, 3235, 2451, 14835, 27817, 30079, 124301, 253691}},
-{16998, 18, 60247, {1, 1, 7, 1, 11, 37, 105, 127, 115, 157, 279, 2425, 2139, 131, 22717, 40803, 74867, 86021}},
-{16999, 18, 60254, {1, 1, 1, 7, 11, 59, 95, 61, 255, 523, 501, 2895, 7531, 8151, 18393, 42069, 120809, 236537}},
-{17000, 18, 60275, {1, 1, 1, 7, 17, 23, 31, 59, 377, 187, 873, 1565, 3459, 2975, 11633, 13247, 13095, 193803}},
-{17001, 18, 60284, {1, 3, 7, 1, 25, 3, 85, 5, 485, 451, 1385, 1663, 4825, 14019, 29437, 33717, 105343, 161335}},
-{17002, 18, 60317, {1, 1, 1, 3, 27, 43, 71, 167, 425, 579, 1739, 3557, 7403, 2023, 6533, 61177, 119273, 85229}},
-{17003, 18, 60318, {1, 1, 7, 3, 31, 37, 19, 213, 373, 505, 97, 3669, 7005, 2205, 26519, 61999, 18395, 25967}},
-{17004, 18, 60346, {1, 3, 3, 7, 29, 17, 9, 137, 265, 875, 887, 3029, 3295, 11619, 8357, 46241, 23543, 43191}},
-{17005, 18, 60360, {1, 1, 5, 1, 25, 43, 33, 133, 65, 7, 1581, 3577, 5997, 6129, 30649, 18923, 56459, 227869}},
-{17006, 18, 60380, {1, 1, 5, 13, 27, 45, 27, 111, 429, 565, 1449, 1475, 6613, 4469, 16083, 42349, 66843, 214875}},
-{17007, 18, 60389, {1, 3, 1, 1, 21, 21, 107, 7, 15, 675, 233, 4021, 1097, 1393, 6445, 3323, 102435, 249355}},
-{17008, 18, 60393, {1, 1, 5, 15, 17, 51, 99, 249, 437, 667, 1921, 2371, 3813, 10543, 19, 39079, 116825, 242821}},
-{17009, 18, 60401, {1, 1, 1, 1, 7, 15, 27, 29, 161, 37, 1847, 287, 4379, 1399, 24547, 60361, 68131, 232883}},
-{17010, 18, 60407, {1, 1, 3, 9, 17, 21, 41, 169, 61, 771, 241, 1435, 4151, 1789, 12195, 27239, 62371, 165145}},
-{17011, 18, 60408, {1, 3, 5, 15, 31, 19, 127, 181, 463, 183, 749, 253, 2403, 1363, 3965, 7953, 124025, 226691}},
-{17012, 18, 60462, {1, 1, 3, 7, 17, 57, 85, 89, 17, 33, 819, 2191, 1525, 15651, 23483, 26027, 86379, 40191}},
-{17013, 18, 60484, {1, 1, 5, 1, 9, 45, 65, 65, 359, 5, 531, 2581, 6313, 13219, 6005, 36215, 16275, 208253}},
-{17014, 18, 60505, {1, 3, 1, 1, 23, 15, 51, 43, 85, 461, 773, 219, 2681, 3377, 9797, 54469, 112871, 231533}},
-{17015, 18, 60521, {1, 3, 7, 7, 15, 9, 97, 115, 301, 493, 1085, 2021, 2305, 15003, 11381, 9339, 63015, 179115}},
-{17016, 18, 60527, {1, 3, 5, 3, 3, 61, 111, 103, 283, 7, 143, 353, 7815, 7901, 25795, 7577, 92991, 228315}},
-{17017, 18, 60532, {1, 1, 7, 13, 29, 3, 53, 105, 83, 531, 497, 729, 1375, 7063, 18655, 35219, 9671, 102913}},
-{17018, 18, 60545, {1, 1, 5, 15, 11, 7, 65, 31, 15, 921, 743, 1469, 5669, 5437, 20019, 28123, 5717, 6181}},
-{17019, 18, 60546, {1, 3, 3, 15, 19, 1, 3, 183, 315, 595, 1033, 3259, 7815, 8281, 32103, 8699, 59149, 56657}},
-{17020, 18, 60555, {1, 1, 1, 7, 9, 1, 87, 81, 267, 637, 1617, 2113, 487, 23, 11213, 29211, 92715, 177767}},
-{17021, 18, 60563, {1, 3, 5, 13, 29, 37, 31, 55, 343, 759, 813, 2945, 7189, 4821, 30661, 38373, 2793, 98683}},
-{17022, 18, 60586, {1, 3, 5, 7, 9, 43, 113, 145, 103, 303, 1065, 3781, 3527, 9449, 17355, 38301, 74859, 30735}},
-{17023, 18, 60626, {1, 1, 1, 1, 3, 53, 53, 27, 119, 701, 1777, 3959, 5911, 8473, 24997, 17557, 11593, 201381}},
-{17024, 18, 60637, {1, 3, 3, 9, 3, 3, 107, 115, 423, 531, 735, 931, 8053, 4661, 1919, 29551, 62515, 210255}},
-{17025, 18, 60665, {1, 1, 3, 9, 21, 21, 117, 67, 301, 49, 2025, 781, 7951, 15719, 27287, 34551, 115241, 243981}},
-{17026, 18, 60673, {1, 1, 7, 9, 9, 25, 87, 229, 375, 353, 445, 3169, 1865, 7305, 11175, 47081, 28609, 107301}},
-{17027, 18, 60685, {1, 3, 3, 11, 7, 31, 19, 177, 17, 535, 1353, 2587, 7723, 8039, 13607, 5017, 104937, 207761}},
-{17028, 18, 60703, {1, 1, 5, 3, 11, 27, 29, 193, 235, 435, 1451, 3487, 5749, 4825, 9487, 53933, 92061, 223305}},
-{17029, 18, 60734, {1, 3, 3, 3, 5, 5, 99, 237, 91, 945, 1373, 3303, 3079, 5345, 6843, 34131, 62851, 259561}},
-{17030, 18, 60742, {1, 1, 3, 7, 7, 25, 11, 27, 329, 37, 307, 771, 659, 13045, 25767, 18887, 54407, 251313}},
-{17031, 18, 60790, {1, 1, 1, 11, 29, 59, 37, 121, 281, 55, 495, 159, 3925, 4447, 14825, 24831, 103147, 211951}},
-{17032, 18, 60830, {1, 3, 3, 7, 23, 31, 59, 67, 303, 383, 1179, 2347, 4001, 14797, 14579, 55365, 112239, 65309}},
-{17033, 18, 60848, {1, 3, 3, 9, 15, 17, 61, 123, 339, 319, 765, 1517, 1269, 69, 9065, 32347, 21377, 38449}},
-{17034, 18, 60857, {1, 3, 5, 3, 7, 35, 71, 63, 251, 457, 351, 385, 4041, 11489, 14511, 11875, 45307, 205041}},
-{17035, 18, 60871, {1, 1, 1, 7, 1, 25, 115, 195, 41, 1001, 835, 767, 7991, 7475, 22397, 36899, 77255, 194827}},
-{17036, 18, 60875, {1, 3, 3, 11, 7, 49, 45, 13, 373, 167, 741, 2569, 3781, 1131, 2909, 40387, 77877, 201859}},
-{17037, 18, 60913, {1, 3, 5, 3, 17, 11, 123, 137, 65, 835, 1385, 1157, 7387, 12301, 5759, 13137, 30595, 50923}},
-{17038, 18, 60923, {1, 1, 5, 7, 1, 55, 57, 97, 377, 223, 115, 2515, 2565, 14965, 10485, 23957, 108239, 160707}},
-{17039, 18, 60972, {1, 3, 1, 9, 15, 17, 81, 65, 387, 275, 997, 1485, 4129, 999, 4915, 55867, 103799, 191829}},
-{17040, 18, 60989, {1, 1, 1, 5, 15, 5, 35, 167, 249, 419, 267, 503, 469, 3163, 19939, 65501, 88573, 11621}},
-{17041, 18, 61001, {1, 3, 3, 13, 7, 9, 101, 125, 371, 97, 1855, 1755, 4103, 12283, 18655, 5965, 17743, 254779}},
-{17042, 18, 61002, {1, 1, 3, 7, 13, 15, 119, 227, 451, 863, 1005, 491, 6515, 717, 12783, 14161, 106249, 185297}},
-{17043, 18, 61019, {1, 1, 7, 13, 17, 23, 95, 143, 133, 219, 897, 2291, 7469, 923, 22323, 60583, 2457, 197231}},
-{17044, 18, 61022, {1, 1, 1, 11, 3, 25, 115, 187, 319, 999, 867, 1725, 6969, 239, 2527, 55283, 91099, 252153}},
-{17045, 18, 61059, {1, 1, 7, 9, 3, 37, 107, 25, 425, 95, 631, 2831, 1265, 11509, 18865, 39791, 22281, 220517}},
-{17046, 18, 61065, {1, 3, 5, 1, 1, 47, 121, 173, 489, 241, 3, 3707, 7081, 5341, 23143, 7321, 30605, 191665}},
-{17047, 18, 61066, {1, 1, 7, 7, 7, 27, 23, 43, 145, 11, 1155, 691, 6993, 9509, 5991, 40705, 58215, 202915}},
-{17048, 18, 61071, {1, 3, 5, 1, 31, 1, 7, 189, 379, 431, 417, 3843, 3885, 3263, 16333, 58123, 68307, 33795}},
-{17049, 18, 61076, {1, 1, 5, 5, 19, 27, 19, 217, 509, 535, 287, 1637, 4829, 2665, 15393, 35185, 125335, 10909}},
-{17050, 18, 61141, {1, 3, 5, 7, 25, 13, 67, 243, 255, 1021, 1203, 821, 7811, 149, 26731, 12913, 18171, 101385}},
-{17051, 18, 61148, {1, 1, 1, 3, 25, 61, 59, 207, 449, 789, 1831, 1731, 513, 10099, 291, 1963, 100233, 21847}},
-{17052, 18, 61167, {1, 1, 7, 1, 27, 19, 45, 81, 479, 31, 707, 2669, 3589, 15411, 12089, 38235, 60897, 135451}},
-{17053, 18, 61190, {1, 3, 5, 15, 11, 3, 113, 169, 171, 21, 1291, 2031, 2023, 5783, 6137, 54637, 50247, 233753}},
-{17054, 18, 61218, {1, 1, 5, 1, 11, 13, 73, 97, 269, 801, 1015, 1329, 1779, 15225, 24251, 35191, 8619, 130993}},
-{17055, 18, 61247, {1, 1, 7, 9, 9, 19, 35, 255, 505, 513, 547, 405, 3065, 4965, 30877, 50091, 81319, 29273}},
-{17056, 18, 61256, {1, 1, 1, 9, 7, 61, 45, 75, 343, 911, 1683, 453, 1225, 10939, 19901, 63685, 123507, 252027}},
-{17057, 18, 61289, {1, 1, 5, 11, 21, 55, 37, 161, 143, 463, 1937, 3349, 2953, 14827, 7893, 26581, 128459, 72325}},
-{17058, 18, 61292, {1, 3, 5, 9, 31, 57, 115, 77, 225, 859, 621, 731, 5677, 759, 20773, 52285, 65555, 4303}},
-{17059, 18, 61307, {1, 1, 3, 15, 23, 15, 49, 171, 137, 449, 855, 565, 5579, 5957, 13643, 8979, 90327, 116349}},
-{17060, 18, 61319, {1, 1, 3, 5, 9, 13, 27, 43, 391, 595, 731, 101, 7121, 13555, 29181, 38273, 42309, 175297}},
-{17061, 18, 61353, {1, 1, 3, 11, 3, 59, 17, 143, 251, 47, 1391, 1297, 23, 15871, 13153, 44081, 65423, 54875}},
-{17062, 18, 61362, {1, 3, 7, 11, 25, 43, 3, 163, 273, 277, 755, 2743, 5909, 10841, 31331, 64131, 13945, 91557}},
-{17063, 18, 61379, {1, 3, 1, 13, 31, 35, 5, 165, 417, 623, 1083, 1221, 1051, 8917, 6725, 11385, 76315, 119837}},
-{17064, 18, 61382, {1, 1, 5, 3, 21, 53, 47, 247, 471, 877, 709, 2425, 3, 1963, 24331, 52151, 98859, 119033}},
-{17065, 18, 61433, {1, 1, 7, 3, 29, 29, 43, 59, 503, 891, 763, 2927, 1613, 9091, 10393, 36003, 61147, 3437}},
-{17066, 18, 61434, {1, 1, 5, 15, 27, 59, 73, 163, 425, 855, 349, 3451, 5779, 10523, 9103, 46477, 129873, 39091}},
-{17067, 18, 61454, {1, 3, 7, 15, 25, 45, 77, 171, 467, 1017, 1553, 1877, 5507, 3909, 12157, 60441, 98261, 37781}},
-{17068, 18, 61461, {1, 1, 7, 13, 13, 39, 99, 51, 197, 327, 1101, 2679, 8025, 11853, 7763, 62537, 96999, 88673}},
-{17069, 18, 61475, {1, 3, 1, 11, 5, 61, 29, 219, 471, 387, 319, 433, 5383, 3933, 27603, 61171, 104711, 233295}},
-{17070, 18, 61481, {1, 3, 5, 11, 15, 23, 91, 119, 207, 717, 1333, 783, 437, 13073, 10923, 27049, 87233, 174899}},
-{17071, 18, 61534, {1, 1, 1, 1, 13, 19, 109, 139, 183, 299, 1023, 3265, 5153, 6307, 27879, 55311, 95201, 19481}},
-{17072, 18, 61547, {1, 1, 5, 11, 13, 61, 81, 115, 53, 483, 693, 3527, 5033, 8527, 31345, 46155, 12403, 126815}},
-{17073, 18, 61564, {1, 3, 7, 3, 27, 7, 73, 227, 269, 683, 719, 763, 5417, 9523, 13625, 6945, 116225, 223093}},
-{17074, 18, 61568, {1, 3, 5, 9, 21, 51, 111, 157, 451, 247, 1375, 1631, 2783, 3371, 22713, 34153, 41949, 141351}},
-{17075, 18, 61588, {1, 1, 5, 1, 21, 19, 45, 69, 41, 453, 523, 3163, 7351, 4467, 18865, 35371, 129577, 78039}},
-{17076, 18, 61604, {1, 3, 5, 1, 29, 33, 13, 19, 341, 321, 117, 1187, 7021, 5785, 5553, 58055, 113557, 46957}},
-{17077, 18, 61626, {1, 1, 5, 5, 13, 59, 47, 59, 69, 125, 1491, 2813, 5005, 5973, 3145, 27579, 7763, 129949}},
-{17078, 18, 61645, {1, 1, 7, 11, 11, 7, 117, 235, 407, 749, 1925, 1735, 4499, 13027, 19355, 1981, 105657, 242853}},
-{17079, 18, 61646, {1, 1, 7, 1, 15, 19, 5, 247, 203, 707, 809, 2085, 5801, 9947, 569, 9883, 109861, 156751}},
-{17080, 18, 61654, {1, 3, 5, 3, 13, 59, 67, 181, 261, 873, 1589, 2249, 7213, 14625, 28403, 41101, 73439, 46873}},
-{17081, 18, 61663, {1, 1, 5, 7, 3, 63, 79, 115, 123, 485, 1373, 3781, 4315, 4627, 29003, 64101, 67521, 184053}},
-{17082, 18, 61669, {1, 1, 3, 9, 11, 57, 93, 243, 505, 189, 449, 643, 5267, 7447, 32265, 44095, 63015, 36905}},
-{17083, 18, 61702, {1, 3, 7, 13, 25, 59, 31, 93, 401, 41, 183, 759, 2473, 8705, 8211, 13543, 59749, 235217}},
-{17084, 18, 61705, {1, 1, 5, 5, 29, 3, 65, 133, 325, 239, 649, 3225, 4095, 11691, 4479, 15419, 100551, 261981}},
-{17085, 18, 61714, {1, 3, 7, 1, 17, 11, 63, 97, 431, 161, 1437, 3679, 1643, 10583, 20731, 45919, 94093, 147067}},
-{17086, 18, 61739, {1, 1, 7, 1, 25, 13, 63, 155, 221, 345, 189, 1199, 5465, 14767, 26263, 54093, 23697, 71231}},
-{17087, 18, 61744, {1, 1, 7, 3, 3, 19, 23, 75, 381, 339, 1989, 1137, 6449, 1437, 32279, 17195, 117423, 259311}},
-{17088, 18, 61749, {1, 3, 5, 3, 27, 45, 117, 113, 129, 585, 2019, 807, 5573, 7407, 9957, 8741, 52333, 115607}},
-{17089, 18, 61776, {1, 1, 3, 7, 9, 5, 77, 9, 417, 725, 429, 1657, 5445, 1901, 28745, 26807, 111743, 169739}},
-{17090, 18, 61786, {1, 3, 1, 5, 7, 63, 51, 183, 117, 383, 435, 755, 7849, 5997, 32697, 5789, 5189, 80645}},
-{17091, 18, 61822, {1, 1, 3, 15, 5, 47, 105, 175, 41, 275, 1441, 3183, 3651, 9561, 5749, 20431, 45969, 59473}},
-{17092, 18, 61826, {1, 1, 1, 11, 13, 35, 19, 129, 125, 35, 339, 3099, 5337, 15605, 10213, 1171, 61869, 216681}},
-{17093, 18, 61862, {1, 3, 7, 1, 7, 25, 23, 9, 431, 73, 1803, 3969, 7853, 12845, 8075, 14553, 124825, 50561}},
-{17094, 18, 61865, {1, 1, 1, 7, 29, 21, 79, 247, 313, 143, 59, 2689, 5643, 827, 26597, 56423, 107903, 180809}},
-{17095, 18, 61868, {1, 3, 7, 1, 3, 3, 25, 39, 269, 529, 67, 3703, 2163, 12417, 6307, 29883, 40303, 171831}},
-{17096, 18, 61879, {1, 3, 7, 13, 1, 19, 71, 245, 267, 105, 749, 1203, 7953, 1881, 9273, 4629, 71793, 195393}},
-{17097, 18, 61885, {1, 1, 1, 15, 3, 49, 53, 145, 47, 959, 1107, 1361, 4517, 16055, 32119, 58433, 110123, 81487}},
-{17098, 18, 61900, {1, 3, 1, 1, 5, 3, 99, 93, 257, 659, 19, 3789, 203, 6183, 11571, 54845, 80591, 243303}},
-{17099, 18, 61905, {1, 3, 7, 1, 1, 7, 27, 11, 255, 261, 769, 2877, 6013, 8431, 25669, 43591, 122501, 208947}},
-{17100, 18, 61906, {1, 1, 7, 7, 3, 25, 117, 19, 15, 843, 401, 613, 801, 10579, 129, 12249, 107465, 95953}},
-{17101, 18, 61962, {1, 1, 3, 5, 1, 35, 95, 93, 243, 937, 1543, 3443, 175, 2199, 12521, 2521, 87225, 38631}},
-{17102, 18, 61967, {1, 3, 7, 13, 21, 29, 81, 139, 247, 937, 1835, 3887, 6917, 15709, 20947, 3341, 125521, 247195}},
-{17103, 18, 61972, {1, 1, 5, 11, 31, 19, 111, 215, 191, 347, 1215, 1757, 6751, 3099, 755, 43753, 2813, 159123}},
-{17104, 18, 61976, {1, 3, 3, 3, 31, 5, 35, 87, 293, 581, 1501, 3255, 7041, 5233, 2053, 63403, 37943, 12115}},
-{17105, 18, 62027, {1, 1, 7, 15, 11, 31, 5, 123, 225, 703, 733, 635, 2193, 3059, 30933, 43149, 79409, 106995}},
-{17106, 18, 62048, {1, 3, 1, 7, 11, 21, 45, 135, 99, 883, 85, 3861, 6617, 7169, 29887, 329, 42487, 129001}},
-{17107, 18, 62051, {1, 1, 1, 3, 11, 53, 31, 245, 141, 667, 1615, 3311, 1475, 12785, 3509, 47153, 105747, 141275}},
-{17108, 18, 62066, {1, 1, 3, 15, 7, 15, 55, 13, 465, 707, 1299, 1393, 399, 9229, 4897, 50313, 1275, 131811}},
-{17109, 18, 62081, {1, 1, 3, 15, 5, 57, 43, 19, 335, 929, 459, 327, 5715, 7173, 27643, 535, 46221, 144619}},
-{17110, 18, 62108, {1, 3, 5, 1, 9, 1, 63, 187, 71, 899, 969, 1349, 1553, 15593, 22783, 211, 41643, 163981}},
-{17111, 18, 62178, {1, 1, 1, 13, 3, 63, 35, 37, 311, 253, 1393, 629, 5299, 14837, 15053, 28041, 81541, 149037}},
-{17112, 18, 62189, {1, 3, 3, 11, 13, 45, 17, 165, 497, 751, 635, 2939, 6891, 14877, 32763, 20671, 106845, 258033}},
-{17113, 18, 62224, {1, 1, 3, 11, 21, 7, 3, 247, 243, 219, 1651, 929, 2737, 9507, 31819, 61389, 14593, 137207}},
-{17114, 18, 62229, {1, 1, 7, 5, 15, 33, 31, 29, 467, 75, 523, 1067, 7313, 11715, 26581, 47037, 106385, 199859}},
-{17115, 18, 62282, {1, 3, 1, 7, 19, 59, 35, 35, 3, 899, 799, 1379, 5113, 7653, 17977, 42197, 52397, 179705}},
-{17116, 18, 62318, {1, 1, 7, 5, 13, 13, 67, 157, 181, 633, 21, 3107, 6301, 7523, 23981, 9079, 88875, 195869}},
-{17117, 18, 62320, {1, 3, 7, 9, 7, 9, 115, 49, 293, 691, 1729, 4087, 6353, 963, 12433, 22135, 96383, 127745}},
-{17118, 18, 62329, {1, 3, 7, 7, 21, 5, 43, 247, 89, 275, 1219, 311, 5677, 7161, 13853, 38613, 84935, 223563}},
-{17119, 18, 62341, {1, 3, 1, 5, 29, 61, 17, 235, 127, 979, 973, 1463, 371, 5567, 6949, 34165, 3075, 169347}},
-{17120, 18, 62353, {1, 3, 3, 15, 25, 51, 43, 73, 7, 123, 1761, 1461, 5291, 14271, 19335, 45379, 123469, 190439}},
-{17121, 18, 62359, {1, 3, 3, 13, 19, 57, 25, 161, 351, 703, 819, 753, 3101, 9043, 19179, 22665, 118533, 45817}},
-{17122, 18, 62382, {1, 3, 5, 15, 3, 33, 15, 63, 251, 87, 611, 1187, 2639, 6001, 16135, 27505, 71077, 34101}},
-{17123, 18, 62389, {1, 1, 5, 3, 31, 5, 13, 239, 119, 803, 1881, 3479, 1933, 6421, 21411, 62923, 76851, 211029}},
-{17124, 18, 62396, {1, 3, 1, 11, 13, 59, 13, 77, 87, 343, 1733, 3493, 5937, 15733, 7763, 12839, 68639, 70965}},
-{17125, 18, 62425, {1, 1, 1, 3, 5, 19, 73, 109, 197, 1007, 1369, 623, 3249, 9263, 12463, 37105, 40599, 115323}},
-{17126, 18, 62455, {1, 1, 7, 1, 21, 23, 27, 221, 117, 27, 1811, 837, 7355, 8083, 12657, 34137, 102025, 6511}},
-{17127, 18, 62484, {1, 3, 7, 13, 13, 29, 7, 103, 511, 449, 1443, 775, 3503, 1057, 8809, 48583, 27649, 206219}},
-{17128, 18, 62494, {1, 1, 7, 1, 15, 37, 53, 205, 393, 691, 989, 3493, 7813, 12371, 18125, 62569, 57075, 100625}},
-{17129, 18, 62507, {1, 3, 5, 7, 11, 11, 55, 7, 487, 861, 1589, 1003, 607, 10031, 22481, 41905, 67791, 168167}},
-{17130, 18, 62512, {1, 3, 1, 9, 21, 31, 25, 187, 315, 379, 961, 2721, 3395, 12321, 21693, 56977, 73197, 160023}},
-{17131, 18, 62550, {1, 3, 3, 7, 9, 25, 103, 1, 13, 1021, 1777, 1015, 2269, 2131, 191, 2561, 74755, 27131}},
-{17132, 18, 62577, {1, 1, 3, 13, 21, 29, 97, 153, 499, 207, 719, 585, 8155, 2873, 22073, 45933, 92875, 19205}},
-{17133, 18, 62590, {1, 3, 7, 15, 13, 31, 43, 223, 405, 839, 1241, 2219, 6911, 9469, 24477, 63157, 95503, 128431}},
-{17134, 18, 62599, {1, 3, 5, 15, 5, 11, 79, 129, 235, 171, 289, 1791, 6061, 9107, 13859, 55923, 30197, 111025}},
-{17135, 18, 62617, {1, 1, 7, 11, 13, 23, 51, 139, 219, 467, 1923, 2847, 1977, 1503, 1939, 55579, 65357, 50047}},
-{17136, 18, 62679, {1, 3, 7, 11, 27, 25, 91, 95, 73, 189, 1537, 273, 725, 1215, 15255, 18847, 67419, 162153}},
-{17137, 18, 62702, {1, 3, 3, 11, 3, 63, 49, 131, 219, 285, 819, 2801, 2645, 2943, 15055, 15659, 130641, 82913}},
-{17138, 18, 62745, {1, 1, 3, 7, 17, 19, 37, 59, 391, 1009, 1569, 2569, 2519, 33, 18827, 23277, 94797, 103673}},
-{17139, 18, 62772, {1, 3, 5, 9, 27, 57, 69, 185, 49, 829, 29, 1247, 6129, 14935, 8005, 48343, 55789, 170099}},
-{17140, 18, 62794, {1, 3, 3, 7, 19, 55, 77, 231, 79, 787, 1597, 2701, 4999, 4247, 31849, 7797, 118993, 77871}},
-{17141, 18, 62835, {1, 1, 7, 13, 5, 45, 105, 137, 239, 923, 593, 3227, 3603, 15463, 15533, 55285, 95295, 141951}},
-{17142, 18, 62842, {1, 3, 1, 5, 29, 3, 113, 241, 255, 181, 1933, 2579, 1865, 11083, 8023, 34271, 78603, 240781}},
-{17143, 18, 62847, {1, 1, 3, 7, 17, 21, 123, 75, 305, 485, 9, 3037, 677, 8001, 16803, 25851, 121773, 77729}},
-{17144, 18, 62857, {1, 3, 1, 5, 23, 7, 39, 25, 381, 1003, 361, 995, 1751, 9599, 6399, 9627, 19303, 249899}},
-{17145, 18, 62894, {1, 3, 5, 5, 13, 39, 65, 145, 351, 135, 981, 3657, 4711, 13649, 17253, 46443, 99187, 176683}},
-{17146, 18, 62911, {1, 3, 1, 9, 9, 41, 79, 237, 445, 507, 1947, 2905, 8161, 715, 24499, 62397, 26393, 197221}},
-{17147, 18, 62928, {1, 3, 5, 3, 23, 9, 107, 121, 59, 265, 177, 3495, 391, 4537, 32099, 45217, 128285, 259285}},
-{17148, 18, 62954, {1, 3, 3, 15, 5, 61, 87, 209, 139, 461, 485, 3261, 7425, 6193, 22221, 22145, 93989, 101459}},
-{17149, 18, 62964, {1, 3, 1, 1, 15, 51, 29, 145, 385, 695, 375, 3743, 1387, 15385, 7995, 22993, 64115, 239897}},
-{17150, 18, 62977, {1, 1, 5, 15, 9, 11, 73, 219, 293, 941, 477, 3935, 2717, 9559, 20537, 6935, 39711, 13623}},
-{17151, 18, 62984, {1, 3, 3, 11, 3, 23, 127, 21, 61, 59, 1685, 507, 3883, 6587, 6355, 65407, 54311, 228555}},
-{17152, 18, 63007, {1, 3, 1, 1, 25, 47, 51, 111, 77, 871, 1045, 4017, 7683, 7729, 24155, 3481, 31749, 245155}},
-{17153, 18, 63017, {1, 3, 5, 1, 25, 29, 119, 131, 475, 763, 1639, 1937, 7387, 2307, 24081, 34797, 91785, 52055}},
-{17154, 18, 63058, {1, 1, 5, 1, 29, 19, 119, 111, 119, 751, 1079, 1911, 4085, 8909, 4351, 30037, 37691, 57175}},
-{17155, 18, 63067, {1, 1, 7, 7, 27, 33, 71, 189, 105, 821, 1543, 2939, 3829, 6485, 22235, 7097, 76987, 207121}},
-{17156, 18, 63085, {1, 1, 3, 3, 7, 7, 65, 121, 355, 405, 1019, 1779, 7301, 10609, 25927, 16501, 37287, 133383}},
-{17157, 18, 63150, {1, 1, 3, 11, 31, 57, 109, 197, 165, 711, 271, 653, 5835, 14905, 26065, 52287, 106215, 225075}},
-{17158, 18, 63170, {1, 1, 3, 3, 1, 41, 5, 169, 15, 49, 1311, 2715, 579, 1693, 28001, 17935, 18585, 123531}},
-{17159, 18, 63184, {1, 1, 7, 7, 1, 49, 59, 75, 173, 361, 1947, 2707, 1835, 12025, 24051, 24359, 121841, 215797}},
-{17160, 18, 63210, {1, 1, 5, 13, 7, 49, 15, 181, 409, 1005, 383, 3449, 2987, 13051, 7097, 34571, 55495, 65251}},
-{17161, 18, 63215, {1, 1, 3, 11, 5, 9, 67, 41, 9, 79, 401, 379, 4107, 5231, 519, 47877, 17273, 137479}},
-{17162, 18, 63217, {1, 1, 3, 13, 25, 7, 9, 165, 103, 37, 1369, 933, 1119, 1025, 19767, 25765, 55487, 249709}},
-{17163, 18, 63229, {1, 3, 5, 5, 19, 53, 105, 135, 245, 957, 185, 2901, 1741, 10429, 747, 23365, 49363, 84095}},
-{17164, 18, 63237, {1, 1, 1, 15, 29, 17, 107, 193, 17, 447, 1261, 1935, 5749, 2303, 23287, 59883, 28655, 188055}},
-{17165, 18, 63259, {1, 1, 5, 9, 13, 27, 99, 253, 299, 481, 89, 3041, 1549, 15417, 30495, 2063, 53649, 219883}},
-{17166, 18, 63265, {1, 3, 3, 15, 19, 19, 7, 149, 67, 349, 789, 129, 2783, 2887, 28631, 26001, 62407, 151767}},
-{17167, 18, 63271, {1, 3, 3, 13, 7, 29, 65, 25, 93, 627, 301, 721, 7249, 13295, 19995, 33715, 36441, 157625}},
-{17168, 18, 63286, {1, 1, 1, 3, 29, 63, 85, 27, 507, 543, 1887, 3169, 4239, 4455, 22047, 15369, 48913, 192071}},
-{17169, 18, 63298, {1, 3, 7, 5, 9, 33, 125, 41, 7, 723, 1091, 3311, 8173, 3861, 31507, 42669, 68853, 60043}},
-{17170, 18, 63343, {1, 3, 1, 13, 13, 7, 121, 41, 181, 913, 371, 163, 7061, 8779, 18345, 41915, 1785, 107113}},
-{17171, 18, 63355, {1, 1, 1, 9, 13, 41, 23, 35, 157, 247, 1243, 1101, 5193, 4027, 29917, 44099, 46211, 162059}},
-{17172, 18, 63361, {1, 3, 1, 5, 15, 51, 3, 241, 131, 741, 1885, 2397, 5673, 9097, 9319, 15381, 55655, 207569}},
-{17173, 18, 63362, {1, 1, 3, 15, 25, 15, 69, 55, 435, 727, 1007, 375, 7871, 10437, 11011, 36711, 11269, 105159}},
-{17174, 18, 63379, {1, 3, 3, 13, 17, 1, 101, 189, 295, 185, 1715, 2609, 6767, 11751, 11469, 3951, 80743, 114439}},
-{17175, 18, 63397, {1, 3, 1, 7, 21, 41, 93, 39, 433, 917, 279, 161, 267, 10201, 26583, 30363, 110187, 46501}},
-{17176, 18, 63415, {1, 1, 7, 7, 13, 15, 89, 167, 365, 925, 107, 3537, 6815, 15251, 23149, 61821, 66569, 135353}},
-{17177, 18, 63421, {1, 1, 1, 3, 13, 59, 21, 255, 111, 603, 547, 465, 3001, 16055, 26389, 64301, 112751, 219279}},
-{17178, 18, 63463, {1, 1, 1, 15, 17, 3, 21, 49, 327, 349, 489, 957, 807, 11685, 23975, 34729, 100773, 223551}},
-{17179, 18, 63491, {1, 3, 5, 15, 19, 59, 63, 71, 233, 767, 1789, 3609, 5911, 3405, 7519, 3611, 92015, 126669}},
-{17180, 18, 63527, {1, 1, 1, 11, 7, 31, 79, 57, 115, 763, 1643, 3329, 7209, 1385, 15565, 64353, 60637, 59445}},
-{17181, 18, 63545, {1, 1, 3, 1, 13, 3, 47, 89, 507, 523, 1, 1391, 6973, 7267, 32527, 52631, 20775, 234503}},
-{17182, 18, 63553, {1, 3, 1, 9, 23, 23, 95, 57, 295, 857, 213, 1211, 3503, 3043, 24843, 16149, 118719, 171585}},
-{17183, 18, 63560, {1, 3, 1, 5, 1, 13, 63, 167, 305, 711, 759, 2521, 5051, 9125, 22917, 24647, 100777, 261137}},
-{17184, 18, 63563, {1, 1, 5, 9, 25, 19, 5, 225, 511, 543, 685, 733, 7249, 10447, 11115, 25927, 104327, 92861}},
-{17185, 18, 63566, {1, 3, 1, 7, 15, 7, 15, 83, 379, 461, 943, 317, 7735, 12655, 7549, 6371, 20901, 170331}},
-{17186, 18, 63589, {1, 1, 1, 13, 7, 17, 41, 51, 47, 15, 477, 1203, 819, 1615, 13805, 40147, 3967, 192647}},
-{17187, 18, 63599, {1, 3, 7, 11, 9, 11, 111, 75, 171, 833, 1503, 2325, 7279, 2687, 16499, 11547, 99409, 186429}},
-{17188, 18, 63601, {1, 1, 5, 3, 13, 21, 75, 17, 447, 647, 1309, 2297, 7911, 12093, 16237, 50831, 96123, 134479}},
-{17189, 18, 63608, {1, 1, 5, 15, 19, 29, 35, 255, 291, 437, 85, 2143, 3281, 3629, 29339, 28169, 46561, 236595}},
-{17190, 18, 63620, {1, 3, 7, 1, 31, 57, 125, 109, 317, 461, 681, 1379, 6387, 14971, 8451, 17655, 87619, 51721}},
-{17191, 18, 63654, {1, 3, 7, 1, 23, 33, 45, 149, 43, 465, 997, 601, 693, 6273, 12867, 25885, 81353, 60437}},
-{17192, 18, 63703, {1, 1, 7, 7, 31, 25, 113, 205, 481, 141, 1757, 587, 2981, 7637, 3869, 4151, 69541, 68587}},
-{17193, 18, 63719, {1, 1, 7, 13, 17, 31, 69, 247, 137, 79, 1221, 1693, 3747, 10711, 1671, 31587, 12139, 248585}},
-{17194, 18, 63758, {1, 1, 1, 3, 1, 61, 39, 139, 37, 79, 125, 1145, 7505, 10129, 29209, 52045, 99159, 195553}},
-{17195, 18, 63769, {1, 1, 5, 3, 13, 41, 13, 11, 167, 953, 1961, 3557, 871, 1687, 28479, 10621, 27533, 243519}},
-{17196, 18, 63782, {1, 1, 7, 7, 1, 35, 107, 227, 375, 225, 483, 1239, 7591, 8549, 7351, 62001, 70245, 102795}},
-{17197, 18, 63803, {1, 1, 1, 9, 29, 35, 15, 3, 337, 1017, 1065, 2107, 2457, 9455, 7069, 55081, 57887, 149679}},
-{17198, 18, 63811, {1, 1, 7, 1, 1, 1, 13, 63, 287, 895, 593, 1253, 4717, 10313, 10275, 22143, 59149, 38865}},
-{17199, 18, 63851, {1, 1, 3, 15, 27, 39, 73, 11, 509, 391, 1901, 503, 5523, 6777, 30849, 41301, 35067, 68443}},
-{17200, 18, 63854, {1, 3, 3, 15, 17, 57, 39, 229, 273, 917, 577, 3627, 3285, 4495, 28581, 34011, 38537, 194999}},
-{17201, 18, 63872, {1, 1, 7, 3, 17, 51, 91, 203, 161, 757, 581, 1625, 477, 8839, 16515, 43101, 121497, 23603}},
-{17202, 18, 63878, {1, 3, 3, 5, 19, 29, 55, 127, 283, 999, 1227, 1937, 4471, 11305, 8813, 40509, 78521, 175573}},
-{17203, 18, 63895, {1, 3, 3, 3, 5, 29, 33, 249, 25, 213, 1315, 393, 6967, 12751, 7485, 39561, 14801, 191921}},
-{17204, 18, 63917, {1, 3, 7, 9, 23, 15, 93, 69, 23, 239, 1993, 3375, 539, 14141, 10123, 33561, 127565, 181527}},
-{17205, 18, 63930, {1, 3, 3, 15, 13, 15, 65, 241, 83, 351, 1943, 1305, 7181, 11803, 31907, 63623, 5439, 150661}},
-{17206, 18, 63935, {1, 3, 7, 11, 13, 17, 17, 37, 409, 577, 973, 797, 1761, 5333, 13803, 22991, 29743, 53051}},
-{17207, 18, 63955, {1, 3, 5, 5, 27, 25, 91, 225, 411, 23, 877, 2487, 8061, 12337, 11471, 8857, 10791, 112699}},
-{17208, 18, 63964, {1, 1, 5, 3, 15, 1, 87, 249, 205, 1011, 2045, 1879, 4137, 5877, 12709, 5231, 74283, 124315}},
-{17209, 18, 63967, {1, 1, 7, 7, 31, 37, 117, 71, 139, 391, 1085, 4033, 3087, 3063, 19991, 8787, 96899, 17279}},
-{17210, 18, 63980, {1, 1, 7, 15, 19, 47, 45, 181, 303, 151, 337, 2557, 6131, 3161, 13097, 52777, 77783, 259817}},
-{17211, 18, 63985, {1, 1, 3, 3, 1, 55, 115, 227, 83, 591, 967, 4067, 3441, 243, 13443, 4043, 129365, 161459}},
-{17212, 18, 63992, {1, 1, 3, 15, 5, 23, 71, 31, 271, 585, 931, 909, 3375, 15063, 12111, 35811, 124047, 68225}},
-{17213, 18, 64021, {1, 1, 5, 11, 1, 59, 19, 193, 323, 489, 837, 3709, 1807, 11617, 30931, 33561, 2805, 100979}},
-{17214, 18, 64026, {1, 3, 5, 7, 27, 7, 71, 67, 167, 521, 1237, 2911, 3531, 2885, 4669, 25703, 87647, 36381}},
-{17215, 18, 64044, {1, 3, 3, 13, 13, 21, 97, 225, 477, 1023, 2029, 877, 3849, 4675, 17665, 19257, 9697, 168577}},
-{17216, 18, 64055, {1, 1, 7, 15, 25, 31, 19, 255, 45, 539, 1831, 2655, 7471, 12011, 12455, 3681, 123881, 234471}},
-{17217, 18, 64056, {1, 1, 3, 9, 17, 39, 105, 73, 271, 555, 987, 873, 5371, 12381, 13469, 54961, 125701, 194063}},
-{17218, 18, 64061, {1, 1, 5, 5, 7, 27, 15, 195, 121, 175, 991, 955, 5007, 11423, 1539, 21381, 79891, 162149}},
-{17219, 18, 64067, {1, 3, 1, 7, 25, 23, 69, 69, 177, 545, 481, 3503, 3721, 1077, 8763, 6919, 64743, 172311}},
-{17220, 18, 64081, {1, 1, 3, 15, 31, 5, 33, 45, 81, 795, 435, 399, 4591, 3741, 26493, 14791, 59529, 89989}},
-{17221, 18, 64100, {1, 1, 7, 13, 21, 29, 95, 75, 213, 59, 1635, 479, 441, 14667, 16389, 9139, 30955, 169895}},
-{17222, 18, 64109, {1, 3, 3, 3, 17, 61, 103, 85, 233, 287, 447, 2687, 4755, 9489, 1669, 10405, 58489, 170429}},
-{17223, 18, 64112, {1, 1, 5, 5, 13, 9, 63, 129, 321, 531, 393, 3353, 5309, 16375, 20473, 12595, 52239, 183647}},
-{17224, 18, 64118, {1, 1, 3, 7, 7, 31, 101, 253, 119, 325, 351, 2321, 1899, 14073, 8985, 13609, 32043, 33225}},
-{17225, 18, 64124, {1, 1, 3, 13, 7, 25, 73, 191, 399, 591, 819, 2859, 6053, 815, 30417, 5709, 18277, 121991}},
-{17226, 18, 64145, {1, 3, 3, 1, 7, 47, 7, 81, 451, 463, 699, 1857, 8169, 15649, 22693, 28673, 9717, 227583}},
-{17227, 18, 64151, {1, 3, 3, 3, 31, 45, 123, 205, 23, 901, 1003, 1149, 7481, 6925, 23845, 18573, 97047, 248957}},
-{17228, 18, 64203, {1, 1, 3, 3, 21, 9, 53, 241, 125, 583, 1055, 3981, 8113, 12477, 8455, 6289, 112253, 17321}},
-{17229, 18, 64208, {1, 1, 7, 3, 19, 5, 51, 111, 443, 283, 117, 2127, 4273, 2335, 20373, 2885, 57439, 56839}},
-{17230, 18, 64236, {1, 1, 5, 15, 7, 5, 65, 163, 27, 691, 1667, 69, 2459, 7477, 21349, 52417, 42299, 75965}},
-{17231, 18, 64254, {1, 1, 1, 13, 13, 19, 87, 223, 475, 205, 1113, 887, 2213, 5533, 15875, 36173, 53933, 200173}},
-{17232, 18, 64261, {1, 3, 3, 13, 23, 17, 93, 37, 391, 127, 873, 1445, 3007, 10863, 21245, 55025, 99275, 255329}},
-{17233, 18, 64280, {1, 3, 1, 15, 1, 47, 57, 5, 207, 825, 161, 539, 6151, 12829, 14121, 51217, 25547, 234303}},
-{17234, 18, 64296, {1, 1, 5, 1, 21, 63, 15, 83, 19, 817, 591, 3131, 889, 12451, 14363, 27295, 83877, 124701}},
-{17235, 18, 64313, {1, 1, 7, 7, 11, 21, 87, 85, 13, 555, 163, 9, 5973, 14749, 19585, 57287, 43421, 66301}},
-{17236, 18, 64314, {1, 3, 5, 5, 7, 33, 19, 7, 9, 819, 533, 2105, 4275, 10611, 30517, 35863, 84687, 245157}},
-{17237, 18, 64316, {1, 3, 5, 13, 3, 55, 111, 157, 235, 405, 39, 2191, 905, 3099, 245, 37371, 365, 257385}},
-{17238, 18, 64348, {1, 3, 3, 13, 29, 39, 125, 235, 213, 879, 497, 1659, 6689, 12165, 18621, 14657, 37079, 167867}},
-{17239, 18, 64352, {1, 1, 5, 15, 5, 5, 27, 197, 77, 477, 1115, 3369, 2253, 5757, 20855, 4473, 112501, 76881}},
-{17240, 18, 64355, {1, 3, 3, 13, 13, 61, 37, 97, 229, 743, 1381, 3979, 307, 319, 16765, 56295, 109303, 21361}},
-{17241, 18, 64361, {1, 1, 7, 11, 19, 7, 63, 145, 129, 899, 93, 1851, 7901, 8767, 15553, 13913, 4897, 129483}},
-{17242, 18, 64388, {1, 3, 5, 11, 7, 23, 19, 5, 465, 365, 883, 3563, 4395, 2759, 4273, 623, 75047, 249519}},
-{17243, 18, 64398, {1, 3, 1, 5, 29, 43, 75, 7, 509, 373, 359, 2041, 5957, 1251, 32431, 37803, 120915, 45137}},
-{17244, 18, 64403, {1, 3, 1, 5, 21, 9, 43, 1, 337, 743, 1359, 1629, 5117, 2499, 16129, 22831, 38795, 32137}},
-{17245, 18, 64419, {1, 3, 3, 7, 23, 57, 9, 31, 351, 559, 1729, 1461, 3037, 12685, 8899, 14859, 108851, 170195}},
-{17246, 18, 64421, {1, 1, 1, 15, 23, 57, 39, 23, 283, 487, 1055, 1265, 6781, 7955, 195, 37745, 66115, 56413}},
-{17247, 18, 64428, {1, 1, 3, 7, 27, 35, 57, 17, 137, 17, 905, 4033, 5775, 5305, 22975, 17547, 106297, 146287}},
-{17248, 18, 64453, {1, 1, 1, 3, 5, 39, 73, 151, 469, 523, 119, 539, 2817, 7783, 22957, 59937, 21331, 172437}},
-{17249, 18, 64463, {1, 1, 3, 13, 21, 1, 23, 109, 113, 257, 817, 1671, 6729, 1571, 15009, 48539, 94025, 160379}},
-{17250, 18, 64475, {1, 1, 1, 1, 31, 23, 83, 107, 225, 715, 949, 69, 2163, 4777, 7715, 25901, 82935, 81455}},
-{17251, 18, 64511, {1, 3, 5, 13, 29, 11, 61, 169, 241, 973, 315, 3991, 1389, 3293, 31123, 59419, 7359, 170929}},
-{17252, 18, 64537, {1, 1, 7, 3, 21, 15, 111, 41, 329, 513, 1175, 4037, 2747, 11465, 17253, 54055, 29409, 230925}},
-{17253, 18, 64576, {1, 3, 5, 15, 31, 17, 105, 45, 61, 339, 1387, 1021, 4499, 13671, 25521, 52081, 49153, 31587}},
-{17254, 18, 64579, {1, 3, 3, 3, 29, 17, 51, 103, 429, 849, 1759, 1267, 6255, 4631, 32643, 44977, 40875, 239457}},
-{17255, 18, 64581, {1, 1, 7, 15, 3, 11, 123, 157, 73, 151, 777, 3855, 1913, 969, 11821, 16889, 63503, 197305}},
-{17256, 18, 64606, {1, 3, 1, 5, 13, 49, 61, 209, 105, 523, 851, 3667, 7525, 5537, 12851, 42867, 50535, 131403}},
-{17257, 18, 64615, {1, 3, 1, 7, 13, 19, 107, 71, 479, 895, 405, 89, 1345, 5543, 12709, 6093, 97581, 20483}},
-{17258, 18, 64649, {1, 3, 3, 11, 3, 47, 117, 175, 175, 321, 1257, 365, 1193, 12813, 2713, 26941, 43605, 223323}},
-{17259, 18, 64655, {1, 1, 7, 1, 19, 35, 45, 143, 395, 255, 1599, 575, 2637, 1287, 27673, 48329, 57975, 44173}},
-{17260, 18, 64664, {1, 3, 5, 1, 1, 19, 107, 233, 465, 661, 91, 4007, 6409, 3399, 8175, 54171, 111417, 124955}},
-{17261, 18, 64667, {1, 1, 5, 13, 9, 27, 121, 225, 55, 761, 779, 3015, 6333, 10779, 26531, 57103, 33463, 90219}},
-{17262, 18, 64712, {1, 3, 1, 9, 17, 3, 85, 147, 111, 133, 869, 1833, 2401, 5811, 24415, 27095, 65529, 164121}},
-{17263, 18, 64715, {1, 1, 5, 13, 11, 37, 13, 83, 391, 909, 2013, 1327, 6697, 1711, 29265, 10607, 20127, 57873}},
-{17264, 18, 64718, {1, 3, 1, 11, 17, 17, 33, 101, 383, 837, 1769, 1711, 3735, 14777, 27101, 56853, 110643, 101917}},
-{17265, 18, 64741, {1, 3, 5, 13, 25, 7, 37, 99, 473, 211, 1469, 1827, 6307, 8835, 15853, 22027, 43095, 15817}},
-{17266, 18, 64766, {1, 3, 1, 5, 19, 13, 61, 193, 57, 359, 1277, 749, 5499, 11239, 20681, 48477, 7225, 259259}},
-{17267, 18, 64780, {1, 1, 1, 7, 27, 17, 79, 213, 307, 761, 429, 1519, 7483, 6007, 11251, 13263, 24851, 7919}},
-{17268, 18, 64788, {1, 1, 3, 5, 9, 37, 101, 149, 405, 413, 1213, 157, 3811, 4485, 13099, 32697, 75677, 127815}},
-{17269, 18, 64791, {1, 3, 3, 7, 29, 29, 13, 113, 45, 885, 1471, 3433, 2289, 4375, 815, 16741, 20933, 9763}},
-{17270, 18, 64795, {1, 3, 5, 15, 5, 3, 7, 37, 347, 41, 1977, 395, 6363, 3591, 21457, 31455, 60547, 108153}},
-{17271, 18, 64798, {1, 3, 5, 7, 19, 9, 113, 1, 241, 439, 731, 1591, 3347, 1295, 6635, 25267, 13239, 214669}},
-{17272, 18, 64816, {1, 1, 3, 5, 7, 7, 69, 77, 281, 851, 1533, 1, 7351, 3429, 29237, 54597, 11171, 66613}},
-{17273, 18, 64819, {1, 1, 7, 15, 29, 7, 59, 9, 105, 129, 1397, 3841, 3945, 4755, 19877, 11109, 17497, 225473}},
-{17274, 18, 64822, {1, 3, 7, 7, 15, 61, 3, 207, 97, 229, 1251, 101, 3157, 5729, 15579, 14849, 119119, 91891}},
-{17275, 18, 64833, {1, 3, 3, 9, 27, 15, 85, 221, 231, 577, 1787, 3489, 2393, 7593, 13175, 25561, 108505, 97267}},
-{17276, 18, 64836, {1, 3, 7, 13, 23, 3, 7, 85, 307, 899, 371, 3539, 3467, 7955, 9539, 53583, 125587, 30969}},
-{17277, 18, 64876, {1, 1, 5, 7, 7, 31, 115, 245, 375, 803, 1121, 3775, 3565, 15283, 25981, 24681, 34469, 172003}},
-{17278, 18, 64891, {1, 1, 5, 1, 31, 5, 5, 161, 153, 235, 1703, 2163, 1089, 16233, 6183, 25167, 102925, 36673}},
-{17279, 18, 64907, {1, 3, 3, 5, 1, 57, 59, 5, 87, 497, 151, 1731, 2727, 4583, 28165, 63053, 76003, 29259}},
-{17280, 18, 64943, {1, 1, 5, 7, 5, 21, 79, 111, 347, 879, 827, 3947, 4421, 9589, 23971, 11681, 104555, 226535}},
-{17281, 18, 64965, {1, 1, 5, 1, 17, 35, 105, 159, 391, 495, 1709, 3731, 261, 2359, 1413, 37105, 8979, 189381}},
-{17282, 18, 64977, {1, 3, 3, 1, 11, 23, 21, 213, 261, 755, 1503, 2369, 1765, 14531, 2605, 15609, 48691, 113059}},
-{17283, 18, 64999, {1, 3, 5, 1, 1, 55, 87, 197, 89, 391, 1157, 3523, 385, 5871, 13681, 29097, 101903, 184553}},
-{17284, 18, 65034, {1, 3, 7, 5, 17, 51, 87, 191, 495, 761, 1943, 1845, 2963, 13133, 22439, 20101, 96759, 215215}},
-{17285, 18, 65036, {1, 3, 5, 11, 23, 9, 53, 41, 229, 233, 2025, 2835, 2359, 4755, 3015, 48267, 20721, 61001}},
-{17286, 18, 65089, {1, 1, 7, 9, 27, 35, 45, 201, 137, 291, 151, 733, 6199, 3127, 3073, 14491, 95051, 12469}},
-{17287, 18, 65107, {1, 1, 1, 9, 7, 49, 73, 233, 239, 881, 1991, 695, 5947, 9377, 12027, 41137, 80217, 122961}},
-{17288, 18, 65110, {1, 1, 5, 11, 3, 15, 85, 203, 305, 945, 1007, 1831, 3999, 373, 21141, 63829, 91779, 122495}},
-{17289, 18, 65120, {1, 1, 1, 11, 23, 51, 127, 215, 441, 467, 229, 3071, 2731, 8813, 30155, 60289, 54531, 196187}},
-{17290, 18, 65132, {1, 3, 5, 15, 29, 31, 11, 129, 443, 649, 773, 3035, 7915, 13831, 31979, 5577, 42869, 153591}},
-{17291, 18, 65143, {1, 1, 3, 11, 21, 37, 23, 79, 153, 7, 1801, 441, 8189, 7235, 6311, 965, 71993, 81755}},
-{17292, 18, 65150, {1, 3, 5, 5, 23, 13, 93, 39, 247, 367, 811, 1381, 6809, 16219, 8755, 41923, 79873, 105781}},
-{17293, 18, 65177, {1, 3, 5, 9, 19, 43, 21, 229, 251, 187, 1047, 2295, 5529, 2965, 1507, 16185, 121183, 30551}},
-{17294, 18, 65201, {1, 3, 7, 9, 19, 11, 33, 213, 39, 811, 231, 1527, 6093, 1507, 3541, 37585, 78785, 215419}},
-{17295, 18, 65214, {1, 3, 7, 7, 11, 13, 109, 119, 175, 311, 719, 3127, 6351, 1909, 5441, 5411, 58751, 80875}},
-{17296, 18, 65234, {1, 1, 1, 7, 17, 35, 57, 139, 289, 137, 1919, 2131, 6145, 3953, 24887, 64737, 4677, 23833}},
-{17297, 18, 65240, {1, 1, 3, 13, 1, 21, 83, 243, 27, 69, 501, 3925, 3339, 13313, 27021, 38319, 76441, 146397}},
-{17298, 18, 65243, {1, 3, 7, 9, 15, 17, 97, 117, 505, 673, 1333, 3891, 7775, 6323, 12967, 17387, 19501, 68347}},
-{17299, 18, 65259, {1, 1, 1, 5, 27, 55, 43, 47, 399, 147, 1539, 2663, 5555, 11993, 8759, 33783, 8361, 78633}},
-{17300, 18, 65276, {1, 1, 1, 15, 1, 17, 21, 85, 129, 117, 339, 1319, 1119, 6869, 12913, 56873, 30795, 76849}},
-{17301, 18, 65287, {1, 1, 5, 5, 11, 1, 11, 175, 355, 737, 1367, 3089, 5993, 4377, 10325, 3817, 61735, 187689}},
-{17302, 18, 65306, {1, 3, 5, 5, 21, 41, 85, 219, 425, 611, 1219, 1849, 349, 925, 26185, 31591, 23855, 35549}},
-{17303, 18, 65311, {1, 1, 3, 5, 21, 3, 77, 25, 265, 949, 1979, 1561, 4243, 12437, 5215, 23445, 33295, 130385}},
-{17304, 18, 65321, {1, 1, 3, 1, 13, 7, 3, 81, 143, 735, 31, 1781, 1537, 10789, 11923, 61589, 75761, 178837}},
-{17305, 18, 65350, {1, 1, 7, 7, 11, 47, 55, 37, 39, 533, 1773, 3121, 183, 7193, 19403, 45757, 20457, 158437}},
-{17306, 18, 65364, {1, 1, 5, 5, 3, 15, 53, 41, 139, 529, 601, 2967, 4683, 3869, 13449, 30155, 85833, 190053}},
-{17307, 18, 65451, {1, 1, 5, 1, 11, 39, 85, 131, 349, 175, 267, 779, 923, 5905, 32727, 22055, 63087, 247607}},
-{17308, 18, 65488, {1, 3, 5, 7, 7, 59, 11, 49, 465, 617, 557, 251, 1303, 10369, 29207, 13457, 113591, 43717}},
-{17309, 18, 65510, {1, 3, 5, 3, 27, 39, 21, 157, 39, 891, 1833, 2887, 7395, 7965, 21771, 42675, 71705, 177323}},
-{17310, 18, 65528, {1, 3, 7, 7, 21, 51, 53, 83, 433, 889, 1033, 1701, 6285, 14335, 1683, 3637, 110241, 110355}},
-{17311, 18, 65533, {1, 1, 7, 7, 11, 23, 35, 63, 71, 867, 79, 2551, 1837, 773, 21093, 60433, 67305, 70731}},
-{17312, 18, 65553, {1, 3, 5, 11, 9, 25, 67, 23, 137, 75, 707, 2229, 6237, 9871, 29063, 30433, 112897, 68037}},
-{17313, 18, 65563, {1, 3, 7, 13, 1, 45, 119, 149, 487, 667, 1177, 2927, 1875, 11963, 20771, 1177, 2331, 244039}},
-{17314, 18, 65579, {1, 3, 3, 7, 19, 61, 89, 163, 91, 409, 1109, 1947, 1017, 12385, 13487, 45645, 64175, 184221}},
-{17315, 18, 65621, {1, 1, 1, 15, 13, 47, 21, 203, 341, 845, 443, 1891, 2591, 2721, 7515, 52161, 70359, 173139}},
-{17316, 18, 65625, {1, 3, 3, 11, 5, 3, 119, 179, 509, 33, 1909, 2531, 6713, 12447, 30157, 61019, 45857, 165557}},
-{17317, 18, 65635, {1, 3, 7, 5, 3, 47, 79, 55, 321, 71, 1917, 4053, 6603, 3079, 28133, 15611, 99161, 118279}},
-{17318, 18, 65644, {1, 1, 1, 7, 19, 13, 3, 31, 213, 705, 435, 2381, 991, 4719, 24473, 8907, 122013, 228081}},
-{17319, 18, 65690, {1, 1, 7, 11, 27, 15, 5, 123, 169, 197, 361, 3803, 2001, 14547, 22967, 27575, 118325, 130651}},
-{17320, 18, 65696, {1, 3, 3, 5, 29, 43, 77, 15, 463, 753, 695, 3489, 2023, 9913, 13029, 26621, 129393, 209439}},
-{17321, 18, 65705, {1, 1, 5, 15, 1, 39, 55, 129, 247, 729, 1537, 2529, 3981, 13153, 1505, 12743, 104173, 218423}},
-{17322, 18, 65716, {1, 3, 7, 3, 21, 3, 49, 173, 445, 821, 3, 2671, 1865, 1377, 7589, 65485, 96485, 80193}},
-{17323, 18, 65725, {1, 3, 3, 11, 7, 21, 99, 143, 333, 869, 1469, 1579, 1749, 2203, 18773, 47377, 103211, 238357}},
-{17324, 18, 65733, {1, 3, 5, 11, 11, 19, 25, 253, 229, 755, 101, 269, 6703, 5603, 23201, 57163, 28431, 159653}},
-{17325, 18, 65740, {1, 3, 5, 3, 3, 15, 45, 225, 325, 997, 1061, 883, 3885, 7633, 461, 44411, 52129, 84535}},
-{17326, 18, 65758, {1, 1, 7, 1, 27, 29, 51, 23, 473, 443, 117, 3021, 55, 7413, 7911, 3063, 47533, 234941}},
-{17327, 18, 65786, {1, 3, 3, 15, 19, 43, 37, 95, 249, 805, 603, 865, 2115, 6999, 9739, 59029, 12181, 211159}},
-{17328, 18, 65806, {1, 3, 7, 3, 3, 61, 105, 113, 11, 169, 1007, 689, 2553, 14561, 17473, 38249, 41225, 80021}},
-{17329, 18, 65834, {1, 3, 7, 11, 5, 47, 69, 49, 457, 931, 435, 1423, 411, 15163, 3171, 29143, 101153, 240869}},
-{17330, 18, 65844, {1, 3, 7, 1, 17, 1, 13, 45, 155, 551, 1783, 3583, 2767, 2761, 18019, 61635, 104527, 123817}},
-{17331, 18, 65866, {1, 1, 5, 11, 9, 43, 101, 205, 233, 689, 1247, 2903, 3117, 12261, 11827, 50403, 103727, 35533}},
-{17332, 18, 65895, {1, 1, 5, 13, 23, 37, 121, 195, 133, 265, 1517, 823, 5933, 13917, 6363, 8533, 58443, 178549}},
-{17333, 18, 65902, {1, 1, 7, 9, 29, 1, 3, 195, 221, 877, 71, 473, 1173, 15285, 6057, 60005, 92401, 65357}},
-{17334, 18, 65953, {1, 3, 7, 1, 5, 25, 15, 207, 455, 447, 1125, 3731, 1289, 867, 22111, 38893, 70779, 88277}},
-{17335, 18, 65954, {1, 1, 1, 13, 31, 19, 15, 179, 183, 351, 1197, 1929, 3569, 12251, 17641, 4097, 24141, 186857}},
-{17336, 18, 65983, {1, 1, 1, 9, 19, 9, 125, 23, 431, 225, 943, 479, 2615, 443, 30977, 10889, 17107, 116819}},
-{17337, 18, 65985, {1, 3, 1, 9, 9, 13, 85, 123, 85, 857, 125, 3149, 1105, 3687, 2313, 38749, 52131, 259511}},
-{17338, 18, 66003, {1, 3, 5, 7, 27, 33, 57, 105, 511, 871, 1089, 2311, 3291, 2245, 3365, 30211, 62549, 56207}},
-{17339, 18, 66010, {1, 1, 7, 11, 1, 19, 75, 37, 139, 173, 391, 317, 2575, 11887, 4289, 32275, 43487, 487}},
-{17340, 18, 66025, {1, 1, 7, 1, 11, 3, 9, 217, 343, 35, 59, 93, 1343, 5043, 14869, 63717, 40983, 235373}},
-{17341, 18, 66050, {1, 1, 3, 5, 15, 13, 93, 247, 417, 179, 307, 3299, 4383, 5491, 21271, 37155, 32289, 75737}},
-{17342, 18, 66074, {1, 3, 3, 9, 3, 39, 63, 243, 305, 729, 9, 3317, 3301, 13165, 20437, 36505, 32977, 2761}},
-{17343, 18, 66076, {1, 3, 7, 5, 3, 37, 61, 109, 351, 641, 1699, 2517, 2637, 4995, 27365, 56971, 53609, 14373}},
-{17344, 18, 66097, {1, 3, 1, 15, 31, 53, 127, 123, 219, 1003, 1425, 1201, 5303, 10369, 21481, 26987, 42541, 37855}},
-{17345, 18, 66132, {1, 3, 3, 13, 9, 29, 35, 111, 395, 791, 1619, 2647, 713, 15955, 19145, 33883, 65215, 166267}},
-{17346, 18, 66158, {1, 1, 7, 11, 17, 5, 45, 249, 421, 273, 411, 2885, 7027, 11933, 24847, 36969, 124701, 214931}},
-{17347, 18, 66175, {1, 1, 3, 1, 27, 41, 125, 83, 327, 643, 223, 151, 6709, 15949, 125, 13275, 90405, 15759}},
-{17348, 18, 66185, {1, 1, 5, 15, 19, 45, 55, 109, 497, 1011, 1363, 1937, 3697, 7475, 10533, 65325, 29681, 76275}},
-{17349, 18, 66199, {1, 1, 1, 3, 23, 17, 59, 209, 229, 151, 1199, 279, 191, 8993, 25939, 13885, 113477, 166961}},
-{17350, 18, 66206, {1, 3, 5, 1, 19, 61, 27, 129, 103, 721, 1451, 2803, 5879, 3523, 15443, 4047, 95927, 50339}},
-{17351, 18, 66222, {1, 1, 1, 11, 27, 9, 53, 47, 331, 185, 1337, 3429, 807, 3341, 14871, 11035, 50651, 243843}},
-{17352, 18, 66227, {1, 3, 5, 11, 7, 57, 125, 15, 271, 811, 1873, 3093, 7841, 5761, 19955, 571, 123319, 149465}},
-{17353, 18, 66241, {1, 3, 1, 3, 31, 61, 71, 47, 477, 273, 167, 1069, 3513, 1463, 2667, 22097, 60367, 246045}},
-{17354, 18, 66272, {1, 1, 1, 11, 1, 55, 35, 233, 37, 659, 1517, 411, 2981, 10339, 21857, 33701, 44393, 6861}},
-{17355, 18, 66324, {1, 1, 5, 7, 11, 43, 109, 205, 103, 315, 1925, 2109, 6307, 7915, 19793, 61167, 27963, 251913}},
-{17356, 18, 66424, {1, 1, 5, 11, 5, 63, 107, 219, 53, 251, 1053, 2035, 77, 15885, 22011, 3945, 91, 204899}},
-{17357, 18, 66460, {1, 3, 7, 13, 21, 45, 51, 53, 99, 831, 1421, 3171, 4241, 14105, 26161, 45071, 2813, 54339}},
-{17358, 18, 66464, {1, 3, 5, 1, 3, 61, 43, 141, 355, 699, 11, 2203, 8055, 14815, 24597, 65201, 32689, 70167}},
-{17359, 18, 66481, {1, 3, 1, 5, 11, 27, 109, 239, 199, 23, 375, 1477, 3197, 4401, 29901, 46623, 79593, 133143}},
-{17360, 18, 66482, {1, 1, 1, 3, 23, 9, 63, 103, 41, 177, 1365, 1971, 5937, 13055, 27713, 13535, 47371, 57841}},
-{17361, 18, 66523, {1, 1, 5, 5, 19, 15, 5, 21, 307, 65, 215, 3801, 4149, 6565, 10249, 63541, 30867, 12129}},
-{17362, 18, 66526, {1, 3, 3, 9, 11, 1, 107, 99, 235, 331, 1479, 1365, 2557, 9545, 25767, 12461, 6471, 184643}},
-{17363, 18, 66532, {1, 3, 3, 5, 17, 13, 103, 223, 95, 955, 1479, 1825, 705, 5311, 28531, 22787, 118899, 181829}},
-{17364, 18, 66539, {1, 3, 7, 1, 5, 59, 65, 11, 251, 419, 659, 2559, 5445, 4221, 5871, 51845, 33925, 167037}},
-{17365, 18, 66541, {1, 3, 5, 13, 15, 45, 35, 181, 325, 293, 1897, 3321, 6081, 9919, 27641, 9407, 35263, 231009}},
-{17366, 18, 66573, {1, 3, 3, 3, 3, 35, 85, 33, 293, 777, 1945, 3771, 6967, 12353, 2737, 12501, 127359, 163591}},
-{17367, 18, 66582, {1, 3, 7, 9, 13, 7, 119, 107, 309, 811, 1113, 2465, 4867, 4295, 565, 59159, 94587, 119761}},
-{17368, 18, 66591, {1, 3, 3, 1, 1, 31, 61, 49, 461, 635, 233, 175, 6237, 10463, 17847, 54925, 115675, 260575}},
-{17369, 18, 66615, {1, 3, 5, 15, 25, 17, 61, 155, 235, 483, 1771, 2903, 3163, 2525, 17153, 54701, 49521, 11911}},
-{17370, 18, 66622, {1, 3, 3, 5, 1, 35, 51, 23, 187, 107, 177, 1381, 165, 6149, 10841, 3619, 107811, 188811}},
-{17371, 18, 66629, {1, 1, 5, 9, 7, 35, 5, 233, 43, 913, 939, 2195, 1369, 5355, 7941, 26075, 66813, 227623}},
-{17372, 18, 66641, {1, 3, 7, 11, 5, 43, 97, 211, 427, 875, 1179, 3631, 7989, 2419, 17209, 15789, 128209, 224117}},
-{17373, 18, 66712, {1, 1, 1, 7, 17, 7, 109, 255, 111, 883, 371, 3481, 6031, 14665, 5905, 28735, 113003, 327}},
-{17374, 18, 66724, {1, 3, 5, 3, 5, 61, 7, 155, 87, 861, 39, 3163, 179, 15493, 16403, 18755, 116157, 233185}},
-{17375, 18, 66731, {1, 3, 5, 5, 23, 45, 67, 205, 395, 417, 1235, 669, 5097, 6823, 31483, 61395, 36073, 24183}},
-{17376, 18, 66745, {1, 1, 3, 1, 11, 35, 123, 171, 125, 759, 197, 907, 2273, 3623, 31861, 60071, 91857, 158011}},
-{17377, 18, 66759, {1, 3, 7, 11, 19, 19, 25, 25, 167, 429, 1565, 3179, 5453, 15731, 30727, 32111, 63685, 113309}},
-{17378, 18, 66808, {1, 3, 7, 9, 15, 33, 67, 225, 495, 19, 1881, 1357, 4311, 9547, 18717, 20749, 8819, 209979}},
-{17379, 18, 66814, {1, 3, 5, 3, 13, 47, 107, 153, 461, 815, 1521, 2361, 7721, 10631, 2799, 62321, 59755, 170803}},
-{17380, 18, 66821, {1, 3, 7, 5, 25, 61, 5, 235, 71, 349, 1555, 3419, 1159, 2027, 17391, 29849, 47145, 122057}},
-{17381, 18, 66831, {1, 1, 5, 11, 19, 19, 101, 45, 333, 553, 1431, 4077, 2629, 15997, 19793, 65521, 124287, 174675}},
-{17382, 18, 66834, {1, 3, 7, 11, 25, 39, 103, 219, 375, 27, 227, 1061, 445, 14803, 18883, 49191, 33303, 114467}},
-{17383, 18, 66879, {1, 1, 5, 7, 3, 13, 117, 29, 387, 891, 371, 2199, 7023, 13671, 26291, 61563, 2733, 16093}},
-{17384, 18, 66884, {1, 3, 5, 11, 29, 5, 17, 249, 149, 777, 1817, 319, 19, 12321, 15241, 29069, 58381, 157467}},
-{17385, 18, 66899, {1, 3, 7, 9, 29, 17, 81, 141, 201, 383, 429, 3675, 69, 8155, 22821, 60707, 127015, 248279}},
-{17386, 18, 66901, {1, 3, 7, 9, 25, 5, 11, 27, 423, 987, 99, 3599, 4849, 4513, 32119, 34301, 6327, 249457}},
-{17387, 18, 66924, {1, 3, 3, 7, 13, 25, 71, 227, 307, 985, 665, 3097, 6713, 3823, 6357, 58199, 84057, 28055}},
-{17388, 18, 66929, {1, 3, 5, 7, 19, 21, 93, 45, 159, 527, 493, 59, 1111, 1415, 1949, 28525, 50343, 11039}},
-{17389, 18, 66942, {1, 3, 5, 13, 17, 35, 79, 229, 449, 533, 235, 3445, 8153, 15473, 12975, 53909, 24589, 237049}},
-{17390, 18, 66985, {1, 1, 7, 5, 3, 53, 93, 33, 339, 423, 497, 2691, 6125, 3931, 25357, 27509, 92509, 227209}},
-{17391, 18, 66986, {1, 1, 7, 3, 13, 49, 111, 179, 449, 279, 827, 1481, 2477, 6867, 18079, 6261, 30885, 205675}},
-{17392, 18, 66994, {1, 3, 7, 7, 11, 9, 13, 105, 367, 639, 1307, 1617, 4759, 8387, 8909, 13715, 56599, 113259}},
-{17393, 18, 67066, {1, 1, 3, 3, 15, 17, 103, 125, 205, 67, 999, 3965, 907, 13235, 15275, 58457, 66889, 227279}},
-{17394, 18, 67075, {1, 3, 3, 3, 11, 35, 99, 81, 421, 75, 1757, 2413, 5655, 1227, 4019, 14503, 20719, 224807}},
-{17395, 18, 67099, {1, 1, 7, 11, 17, 17, 109, 203, 331, 813, 987, 2925, 1601, 13617, 29, 8235, 95129, 117987}},
-{17396, 18, 67130, {1, 3, 7, 5, 5, 33, 105, 191, 183, 899, 1949, 2923, 2473, 3435, 8097, 35615, 10109, 62563}},
-{17397, 18, 67173, {1, 1, 7, 13, 5, 25, 21, 159, 487, 415, 1507, 2161, 649, 14425, 2605, 8357, 92441, 87323}},
-{17398, 18, 67183, {1, 3, 7, 15, 3, 23, 87, 209, 407, 765, 975, 3859, 675, 6351, 18703, 44919, 57155, 134961}},
-{17399, 18, 67186, {1, 3, 5, 15, 7, 59, 77, 37, 235, 565, 1707, 3531, 6733, 2223, 12621, 59523, 83547, 172355}},
-{17400, 18, 67197, {1, 3, 7, 5, 23, 15, 57, 217, 151, 333, 1033, 2549, 303, 1455, 5329, 20187, 55415, 166093}},
-{17401, 18, 67201, {1, 3, 1, 13, 21, 27, 1, 85, 335, 201, 135, 2603, 291, 10573, 28411, 1059, 129871, 98303}},
-{17402, 18, 67208, {1, 1, 3, 5, 23, 61, 123, 169, 503, 629, 711, 2795, 2291, 13273, 32703, 63377, 72809, 214927}},
-{17403, 18, 67221, {1, 3, 5, 13, 31, 11, 115, 133, 443, 709, 263, 3739, 2777, 11545, 19137, 61285, 64065, 214477}},
-{17404, 18, 67238, {1, 3, 1, 11, 29, 25, 3, 5, 385, 613, 1277, 1445, 1643, 15137, 28041, 47713, 122051, 62915}},
-{17405, 18, 67252, {1, 3, 5, 11, 3, 11, 1, 137, 457, 577, 783, 1745, 5, 5817, 26569, 50751, 14075, 246219}},
-{17406, 18, 67256, {1, 1, 1, 9, 7, 9, 105, 27, 167, 939, 799, 2773, 6427, 15579, 1975, 10695, 111429, 227105}},
-{17407, 18, 67270, {1, 3, 1, 11, 23, 23, 73, 103, 103, 61, 1743, 3061, 8127, 15893, 21223, 43549, 103659, 89129}},
-{17408, 18, 67288, {1, 1, 7, 13, 5, 43, 59, 235, 139, 961, 839, 3843, 1317, 4903, 21043, 15479, 115065, 112531}},
-{17409, 18, 67318, {1, 3, 1, 3, 19, 15, 57, 145, 193, 321, 1919, 385, 125, 15517, 14243, 62845, 38995, 120045}},
-{17410, 18, 67329, {1, 3, 3, 7, 17, 61, 77, 75, 267, 203, 1911, 2599, 1797, 761, 28101, 58603, 107755, 158689}},
-{17411, 18, 67349, {1, 1, 5, 11, 15, 21, 71, 227, 377, 361, 2013, 129, 6271, 1421, 6009, 52261, 113389, 74915}},
-{17412, 18, 67369, {1, 1, 5, 7, 3, 39, 27, 49, 97, 885, 651, 1633, 3445, 3415, 20167, 26667, 52997, 221391}},
-{17413, 18, 67392, {1, 1, 7, 9, 7, 59, 95, 127, 479, 871, 845, 2951, 673, 6385, 10057, 2605, 78529, 230771}},
-{17414, 18, 67435, {1, 3, 5, 7, 31, 15, 53, 125, 223, 711, 875, 429, 7237, 4005, 2153, 26865, 63205, 144125}},
-{17415, 18, 67473, {1, 1, 7, 9, 1, 57, 19, 189, 67, 423, 1937, 37, 4925, 15503, 25969, 20419, 59921, 58119}},
-{17416, 18, 67496, {1, 1, 7, 7, 31, 51, 99, 189, 21, 1011, 1551, 3529, 7617, 15805, 11365, 43123, 84785, 203703}},
-{17417, 18, 67507, {1, 1, 3, 15, 3, 63, 9, 67, 399, 151, 253, 1839, 1365, 16295, 13145, 29211, 48681, 177643}},
-{17418, 18, 67514, {1, 1, 1, 5, 13, 37, 1, 21, 435, 483, 939, 535, 1505, 10879, 7027, 5599, 63261, 158573}},
-{17419, 18, 67536, {1, 1, 7, 15, 13, 39, 113, 209, 213, 1017, 1197, 285, 4221, 6831, 13383, 2265, 34313, 160879}},
-{17420, 18, 67555, {1, 3, 7, 15, 25, 23, 95, 217, 141, 681, 451, 1275, 4957, 10197, 21375, 50905, 11087, 96135}},
-{17421, 18, 67598, {1, 3, 1, 11, 17, 35, 87, 15, 57, 777, 1429, 615, 681, 8437, 23981, 51781, 112169, 198471}},
-{17422, 18, 67615, {1, 3, 1, 5, 21, 37, 113, 105, 123, 327, 549, 1641, 7697, 2127, 5709, 8351, 56787, 260157}},
-{17423, 18, 67625, {1, 3, 7, 15, 19, 17, 51, 15, 367, 89, 1635, 353, 4855, 1551, 7197, 27403, 11259, 176029}},
-{17424, 18, 67645, {1, 3, 1, 1, 27, 9, 3, 35, 213, 31, 885, 797, 7077, 15641, 22509, 35193, 112411, 157335}},
-{17425, 18, 67651, {1, 1, 5, 1, 5, 9, 101, 149, 169, 581, 1927, 197, 5935, 6361, 3915, 15541, 69575, 102451}},
-{17426, 18, 67663, {1, 3, 3, 13, 23, 63, 45, 205, 271, 17, 707, 937, 2547, 12019, 8559, 26163, 58117, 138625}},
-{17427, 18, 67672, {1, 1, 3, 1, 19, 63, 125, 175, 253, 629, 1121, 3701, 7755, 61, 13037, 39417, 6179, 261923}},
-{17428, 18, 67682, {1, 1, 5, 1, 25, 63, 27, 245, 371, 657, 157, 3821, 3279, 8977, 9065, 35611, 27325, 205737}},
-{17429, 18, 67699, {1, 3, 7, 15, 7, 57, 19, 191, 1, 927, 1379, 2579, 4335, 7163, 4877, 51435, 17309, 100173}},
-{17430, 18, 67718, {1, 1, 1, 5, 21, 59, 107, 195, 317, 691, 541, 69, 7235, 2175, 25191, 23913, 126369, 9263}},
-{17431, 18, 67780, {1, 3, 5, 15, 17, 7, 67, 27, 263, 855, 1065, 973, 6705, 10729, 8719, 32741, 59207, 249107}},
-{17432, 18, 67795, {1, 3, 1, 1, 21, 23, 115, 119, 351, 207, 1691, 1105, 7479, 3877, 24439, 29017, 34171, 133797}},
-{17433, 18, 67804, {1, 3, 3, 3, 11, 23, 39, 165, 99, 1023, 309, 3933, 4235, 3891, 27237, 30887, 34363, 175017}},
-{17434, 18, 67818, {1, 3, 1, 5, 17, 33, 79, 105, 253, 515, 823, 1783, 1523, 2095, 10355, 8929, 51001, 112815}},
-{17435, 18, 67832, {1, 3, 7, 15, 11, 27, 123, 161, 279, 541, 1343, 1009, 6015, 8565, 27031, 233, 2153, 179243}},
-{17436, 18, 67941, {1, 1, 7, 7, 1, 53, 1, 33, 75, 57, 723, 3855, 3301, 14941, 6637, 25181, 103441, 208339}},
-{17437, 18, 67984, {1, 3, 7, 13, 3, 23, 11, 75, 55, 19, 1181, 3451, 4901, 2621, 18323, 42395, 95701, 237753}},
-{17438, 18, 68044, {1, 1, 1, 5, 1, 1, 123, 203, 367, 71, 1897, 295, 6719, 2647, 7135, 34511, 79853, 58351}},
-{17439, 18, 68059, {1, 3, 3, 7, 7, 63, 87, 91, 223, 265, 927, 3843, 1703, 11633, 8077, 26425, 46573, 181201}},
-{17440, 18, 68062, {1, 3, 3, 3, 1, 51, 3, 99, 37, 251, 1739, 2813, 3955, 8745, 4425, 42419, 124177, 173997}},
-{17441, 18, 68065, {1, 3, 5, 15, 9, 19, 11, 207, 123, 287, 1703, 2155, 2729, 4541, 4925, 4735, 77159, 97911}},
-{17442, 18, 68071, {1, 3, 3, 15, 23, 31, 35, 33, 507, 315, 1071, 3001, 7569, 11749, 3183, 6989, 68637, 177803}},
-{17443, 18, 68072, {1, 3, 5, 1, 31, 1, 113, 39, 295, 263, 1113, 619, 5523, 15385, 24115, 24233, 91943, 129299}},
-{17444, 18, 68085, {1, 1, 5, 11, 9, 57, 89, 49, 67, 601, 1277, 2275, 6349, 4141, 28397, 47061, 28143, 126291}},
-{17445, 18, 68090, {1, 3, 7, 15, 11, 63, 123, 187, 305, 1009, 1509, 2569, 2235, 8233, 27351, 53437, 34353, 105799}},
-{17446, 18, 68101, {1, 1, 3, 1, 13, 9, 11, 169, 427, 171, 1031, 633, 4275, 1173, 11233, 57997, 107753, 257337}},
-{17447, 18, 68102, {1, 3, 5, 5, 3, 39, 49, 233, 309, 999, 1275, 85, 1663, 16275, 9145, 18439, 59055, 249657}},
-{17448, 18, 68106, {1, 1, 3, 7, 11, 55, 73, 75, 115, 397, 945, 3657, 6847, 7341, 21305, 30119, 65675, 169281}},
-{17449, 18, 68164, {1, 1, 7, 7, 3, 5, 31, 179, 183, 479, 329, 217, 1077, 6893, 23425, 21903, 34293, 184819}},
-{17450, 18, 68191, {1, 1, 3, 3, 7, 63, 97, 255, 289, 917, 1881, 3829, 2433, 3473, 11045, 37739, 73349, 171899}},
-{17451, 18, 68192, {1, 3, 5, 5, 27, 23, 61, 151, 353, 667, 1889, 2323, 3261, 15999, 24225, 35265, 97301, 75743}},
-{17452, 18, 68195, {1, 3, 7, 1, 19, 41, 81, 61, 461, 275, 131, 2665, 5615, 1719, 21047, 42025, 97725, 196587}},
-{17453, 18, 68209, {1, 1, 7, 11, 3, 5, 47, 107, 397, 237, 1795, 3049, 5317, 14147, 15299, 50469, 83855, 75685}},
-{17454, 18, 68245, {1, 1, 7, 7, 19, 31, 39, 153, 225, 591, 1547, 3755, 3219, 15823, 4015, 30977, 63999, 198023}},
-{17455, 18, 68246, {1, 3, 1, 1, 17, 57, 91, 3, 425, 465, 735, 719, 2955, 3003, 6669, 14335, 32137, 82265}},
-{17456, 18, 68274, {1, 3, 1, 9, 13, 25, 93, 187, 119, 735, 447, 3387, 5111, 6525, 28241, 37643, 99023, 58551}},
-{17457, 18, 68293, {1, 1, 7, 1, 23, 15, 105, 89, 109, 743, 2007, 3131, 4839, 3285, 14681, 47097, 69531, 104647}},
-{17458, 18, 68294, {1, 1, 5, 7, 27, 33, 85, 109, 165, 569, 511, 3223, 2201, 2869, 30457, 42585, 125187, 83115}},
-{17459, 18, 68322, {1, 1, 7, 13, 1, 39, 55, 69, 279, 757, 425, 1317, 2403, 10711, 3341, 33491, 5607, 214161}},
-{17460, 18, 68353, {1, 3, 3, 9, 23, 57, 109, 9, 473, 323, 1371, 657, 5039, 1947, 12787, 29099, 81887, 44039}},
-{17461, 18, 68359, {1, 3, 1, 9, 21, 49, 39, 71, 493, 611, 1465, 3965, 7509, 5315, 4095, 21865, 123533, 148467}},
-{17462, 18, 68377, {1, 1, 7, 5, 15, 45, 67, 109, 143, 423, 205, 849, 1291, 245, 26275, 62873, 69177, 173705}},
-{17463, 18, 68401, {1, 3, 7, 13, 3, 13, 103, 45, 171, 919, 903, 2171, 5025, 14855, 895, 36937, 37643, 30311}},
-{17464, 18, 68422, {1, 3, 1, 5, 31, 35, 67, 111, 201, 183, 375, 905, 5705, 8839, 31551, 22525, 53013, 34189}},
-{17465, 18, 68434, {1, 1, 3, 7, 25, 11, 85, 231, 285, 957, 1731, 1267, 8179, 14195, 18405, 8489, 32503, 86257}},
-{17466, 18, 68443, {1, 3, 7, 5, 29, 7, 73, 15, 501, 909, 1325, 793, 4479, 12137, 30871, 36243, 109781, 7235}},
-{17467, 18, 68445, {1, 1, 3, 15, 13, 13, 75, 221, 497, 921, 1939, 2791, 5277, 6257, 11129, 109, 27549, 44901}},
-{17468, 18, 68476, {1, 1, 7, 3, 21, 9, 35, 113, 101, 15, 545, 2429, 5869, 11379, 14427, 28605, 108313, 220523}},
-{17469, 18, 68492, {1, 3, 5, 5, 21, 31, 79, 101, 11, 687, 609, 3741, 1259, 1529, 10185, 49863, 86529, 5147}},
-{17470, 18, 68504, {1, 3, 1, 5, 5, 49, 105, 213, 435, 201, 511, 525, 5219, 9503, 32023, 25407, 2493, 51165}},
-{17471, 18, 68525, {1, 1, 5, 9, 9, 61, 67, 107, 351, 519, 1373, 1261, 1069, 4325, 9579, 37117, 71759, 17601}},
-{17472, 18, 68540, {1, 1, 7, 7, 27, 63, 63, 229, 239, 291, 1813, 3831, 8091, 2553, 18445, 60707, 88855, 224325}},
-{17473, 18, 68543, {1, 1, 5, 7, 15, 23, 109, 7, 409, 447, 185, 3535, 4643, 13431, 11107, 48771, 95843, 155889}},
-{17474, 18, 68555, {1, 3, 3, 11, 9, 47, 13, 31, 83, 837, 1661, 2283, 299, 13161, 25305, 6079, 107237, 58477}},
-{17475, 18, 68563, {1, 3, 7, 15, 3, 31, 21, 245, 105, 141, 703, 71, 1887, 9345, 15719, 37737, 58431, 195997}},
-{17476, 18, 68576, {1, 1, 1, 13, 25, 21, 23, 67, 349, 581, 1585, 809, 3955, 4621, 25989, 25633, 107229, 193271}},
-{17477, 18, 68581, {1, 1, 5, 3, 15, 57, 111, 147, 243, 575, 851, 3461, 5171, 4203, 21855, 59579, 90509, 16897}},
-{17478, 18, 68617, {1, 1, 5, 13, 5, 45, 83, 59, 253, 261, 1277, 3179, 6397, 4277, 6629, 10979, 55759, 3033}},
-{17479, 18, 68631, {1, 1, 1, 9, 25, 1, 127, 159, 273, 357, 1343, 3209, 649, 6631, 1365, 40813, 98955, 181679}},
-{17480, 18, 68656, {1, 3, 1, 11, 1, 9, 67, 5, 41, 661, 863, 3769, 2737, 7261, 26829, 43093, 113025, 127975}},
-{17481, 18, 68666, {1, 1, 3, 3, 7, 5, 77, 207, 125, 625, 437, 1059, 2635, 1099, 25567, 63759, 97575, 231313}},
-{17482, 18, 68714, {1, 3, 7, 5, 21, 41, 11, 177, 489, 405, 1831, 1373, 6267, 11275, 23613, 55565, 120353, 98771}},
-{17483, 18, 68743, {1, 1, 3, 11, 15, 55, 103, 185, 493, 755, 1235, 3143, 4355, 4887, 11245, 60103, 4023, 184729}},
-{17484, 18, 68761, {1, 3, 1, 1, 23, 5, 103, 117, 269, 101, 2013, 1781, 6445, 8753, 15041, 13993, 28753, 47133}},
-{17485, 18, 68764, {1, 3, 7, 5, 9, 23, 1, 203, 19, 535, 1445, 1713, 5503, 11555, 6195, 35797, 55663, 10187}},
-{17486, 18, 68767, {1, 3, 5, 1, 15, 3, 125, 225, 447, 269, 1663, 1823, 4309, 12243, 16689, 3889, 41111, 123355}},
-{17487, 18, 68768, {1, 1, 1, 5, 21, 33, 83, 147, 243, 101, 1085, 121, 4939, 6081, 22621, 52995, 103047, 82531}},
-{17488, 18, 68786, {1, 3, 5, 3, 21, 3, 5, 81, 431, 191, 1973, 3675, 6691, 8687, 31619, 51669, 95541, 110447}},
-{17489, 18, 68788, {1, 1, 1, 15, 1, 11, 83, 145, 75, 133, 967, 2837, 5111, 6099, 9119, 53661, 128647, 40557}},
-{17490, 18, 68848, {1, 1, 1, 7, 3, 57, 101, 231, 255, 117, 1903, 2133, 3867, 11299, 647, 58853, 22153, 135959}},
-{17491, 18, 68851, {1, 3, 5, 5, 9, 19, 89, 229, 313, 421, 201, 953, 2487, 6283, 1305, 33421, 20933, 164841}},
-{17492, 18, 68914, {1, 1, 3, 3, 1, 45, 93, 165, 343, 577, 1329, 3019, 2727, 14397, 7123, 63347, 45525, 35133}},
-{17493, 18, 68946, {1, 3, 5, 5, 19, 1, 33, 55, 49, 1003, 1567, 2539, 7461, 14641, 7655, 37499, 65525, 84961}},
-{17494, 18, 68952, {1, 3, 5, 5, 29, 3, 77, 39, 251, 791, 215, 3779, 1589, 3577, 22299, 24133, 105449, 257157}},
-{17495, 18, 68973, {1, 3, 1, 5, 7, 23, 109, 209, 35, 571, 1047, 3453, 3657, 11713, 19379, 57101, 29943, 60909}},
-{17496, 18, 69001, {1, 1, 7, 11, 17, 63, 15, 175, 333, 831, 1447, 1991, 3339, 2519, 30127, 51481, 71935, 144995}},
-{17497, 18, 69016, {1, 3, 1, 11, 13, 51, 17, 67, 43, 209, 789, 1285, 5655, 5841, 10203, 32053, 15721, 211725}},
-{17498, 18, 69035, {1, 1, 5, 7, 31, 49, 69, 255, 325, 819, 1769, 1961, 7403, 1241, 2241, 40425, 14839, 178969}},
-{17499, 18, 69037, {1, 1, 3, 9, 1, 5, 9, 35, 167, 865, 337, 1079, 6195, 10139, 19215, 57607, 122437, 197147}},
-{17500, 18, 69049, {1, 1, 1, 15, 23, 7, 47, 155, 345, 547, 333, 3747, 961, 1397, 17067, 33385, 48253, 138611}},
-{17501, 18, 69052, {1, 1, 7, 9, 29, 27, 81, 183, 153, 171, 1125, 1929, 1047, 12463, 1543, 42981, 126163, 203259}},
-{17502, 18, 69058, {1, 1, 5, 3, 1, 41, 123, 213, 7, 179, 1, 3527, 1437, 3545, 2025, 5325, 27097, 187823}},
-{17503, 18, 69063, {1, 1, 7, 1, 19, 5, 111, 251, 431, 91, 1437, 1155, 335, 9587, 18287, 23937, 123331, 3939}},
-{17504, 18, 69075, {1, 1, 1, 9, 13, 59, 75, 219, 225, 313, 525, 2003, 7829, 7063, 22123, 4263, 95491, 9375}},
-{17505, 18, 69112, {1, 3, 1, 1, 27, 29, 71, 189, 169, 301, 165, 2967, 5147, 7127, 2191, 34259, 66605, 149603}},
-{17506, 18, 69117, {1, 3, 5, 13, 29, 57, 105, 31, 495, 311, 1161, 2109, 1471, 1275, 12761, 58379, 46365, 229935}},
-{17507, 18, 69124, {1, 1, 7, 3, 7, 49, 125, 189, 309, 399, 1361, 3969, 2177, 8171, 26623, 41855, 2809, 5825}},
-{17508, 18, 69127, {1, 3, 5, 7, 17, 21, 77, 101, 37, 661, 1743, 2243, 823, 12431, 26931, 7163, 108093, 191305}},
-{17509, 18, 69134, {1, 1, 7, 5, 27, 55, 109, 119, 13, 727, 421, 3469, 1137, 6125, 5107, 52733, 102891, 147425}},
-{17510, 18, 69139, {1, 1, 3, 5, 17, 45, 17, 211, 137, 21, 689, 1487, 233, 9845, 6499, 52617, 73081, 198137}},
-{17511, 18, 69161, {1, 3, 7, 1, 25, 27, 67, 7, 161, 633, 729, 807, 7371, 7301, 29499, 45939, 110565, 219491}},
-{17512, 18, 69196, {1, 3, 3, 13, 17, 7, 55, 211, 103, 981, 1809, 1913, 5705, 14011, 7405, 13893, 92053, 17997}},
-{17513, 18, 69224, {1, 1, 1, 1, 15, 9, 75, 37, 5, 443, 157, 2749, 5587, 16087, 14953, 26793, 21229, 226879}},
-{17514, 18, 69238, {1, 3, 3, 3, 9, 13, 113, 7, 255, 647, 235, 1713, 525, 8579, 20873, 49565, 43869, 145823}},
-{17515, 18, 69301, {1, 1, 5, 15, 9, 1, 119, 189, 73, 321, 1045, 467, 1565, 14381, 22683, 7939, 44337, 231901}},
-{17516, 18, 69316, {1, 1, 3, 13, 21, 61, 35, 105, 425, 395, 381, 1205, 3631, 8099, 23723, 29435, 94683, 180367}},
-{17517, 18, 69325, {1, 3, 3, 13, 19, 15, 59, 111, 355, 165, 857, 3131, 5037, 2527, 17533, 53563, 621, 89837}},
-{17518, 18, 69334, {1, 3, 3, 11, 11, 41, 3, 75, 179, 325, 897, 3141, 75, 1735, 493, 1123, 126763, 68645}},
-{17519, 18, 69347, {1, 3, 5, 7, 19, 61, 9, 99, 101, 583, 1967, 621, 1869, 10693, 2025, 62797, 85727, 212309}},
-{17520, 18, 69359, {1, 3, 1, 13, 23, 47, 15, 29, 199, 889, 423, 3995, 1655, 10753, 25301, 55551, 94829, 205833}},
-{17521, 18, 69381, {1, 1, 1, 1, 21, 1, 91, 237, 195, 721, 881, 1155, 4109, 10367, 1873, 6851, 13295, 182363}},
-{17522, 18, 69388, {1, 1, 5, 15, 19, 35, 37, 197, 137, 255, 93, 681, 949, 15183, 24785, 39357, 65547, 149013}},
-{17523, 18, 69393, {1, 3, 3, 3, 27, 27, 95, 239, 171, 513, 655, 1629, 4577, 3005, 1681, 2581, 59995, 83981}},
-{17524, 18, 69409, {1, 3, 3, 7, 29, 33, 111, 85, 437, 297, 1563, 2411, 6171, 2043, 17625, 59093, 995, 211599}},
-{17525, 18, 69422, {1, 3, 1, 13, 19, 35, 33, 9, 57, 153, 819, 2017, 5879, 13559, 23135, 25981, 41091, 50975}},
-{17526, 18, 69453, {1, 3, 5, 11, 23, 53, 11, 123, 119, 57, 1775, 3457, 7939, 4999, 10771, 23571, 30099, 17361}},
-{17527, 18, 69459, {1, 1, 7, 11, 27, 13, 7, 215, 7, 1009, 1967, 1845, 6679, 13781, 21797, 18755, 47131, 245907}},
-{17528, 18, 69481, {1, 1, 1, 3, 19, 47, 35, 13, 287, 349, 439, 3125, 2387, 12483, 3833, 29399, 27037, 30235}},
-{17529, 18, 69487, {1, 3, 1, 15, 17, 41, 15, 21, 499, 87, 1899, 2835, 1919, 925, 4525, 12935, 25021, 106657}},
-{17530, 18, 69490, {1, 1, 1, 13, 17, 59, 73, 75, 443, 199, 1871, 3447, 4517, 8395, 16661, 30655, 17871, 231337}},
-{17531, 18, 69495, {1, 1, 7, 1, 1, 53, 17, 49, 259, 77, 917, 631, 6061, 12291, 17715, 49761, 70699, 68313}},
-{17532, 18, 69501, {1, 1, 3, 9, 13, 27, 67, 149, 229, 347, 1397, 3457, 6047, 13117, 11, 18121, 70323, 36441}},
-{17533, 18, 69511, {1, 3, 5, 7, 27, 13, 69, 177, 451, 87, 647, 3797, 5433, 3137, 20213, 9809, 126877, 55243}},
-{17534, 18, 69512, {1, 3, 7, 13, 21, 57, 73, 157, 173, 631, 1527, 337, 5605, 8041, 2181, 19567, 19829, 63353}},
-{17535, 18, 69532, {1, 3, 3, 7, 11, 5, 111, 161, 247, 553, 435, 3883, 5639, 10889, 8953, 58297, 15197, 99711}},
-{17536, 18, 69542, {1, 1, 7, 13, 11, 29, 71, 251, 387, 1003, 1275, 763, 67, 10597, 5995, 53677, 4683, 2157}},
-{17537, 18, 69560, {1, 1, 3, 9, 23, 27, 93, 209, 325, 517, 297, 3215, 4359, 395, 10377, 36967, 69803, 190037}},
-{17538, 18, 69565, {1, 1, 1, 3, 27, 61, 21, 229, 469, 3, 387, 523, 4753, 2267, 9879, 32113, 60837, 76205}},
-{17539, 18, 69571, {1, 3, 1, 7, 31, 31, 67, 15, 161, 699, 713, 2973, 2007, 693, 21823, 57549, 28989, 157879}},
-{17540, 18, 69611, {1, 3, 1, 1, 3, 63, 111, 61, 311, 685, 1029, 345, 6763, 16217, 14505, 9777, 3513, 160985}},
-{17541, 18, 69633, {1, 1, 1, 11, 5, 25, 13, 79, 337, 3, 1997, 3489, 7621, 12115, 9221, 7953, 19067, 52697}},
-{17542, 18, 69640, {1, 1, 1, 3, 19, 3, 85, 127, 475, 391, 293, 2249, 1211, 1185, 17133, 6753, 65517, 98157}},
-{17543, 18, 69667, {1, 1, 5, 9, 11, 31, 57, 107, 315, 983, 1117, 2189, 4813, 9925, 26635, 30589, 32989, 44195}},
-{17544, 18, 69669, {1, 1, 7, 7, 21, 1, 1, 221, 421, 199, 539, 3981, 4627, 15655, 12621, 20427, 11619, 187185}},
-{17545, 18, 69679, {1, 1, 7, 5, 13, 19, 49, 31, 55, 35, 1847, 3173, 475, 15245, 30907, 50075, 130837, 87283}},
-{17546, 18, 69688, {1, 1, 7, 15, 13, 47, 13, 17, 169, 185, 1411, 1689, 2339, 2159, 10591, 52283, 26785, 255707}},
-{17547, 18, 69699, {1, 3, 5, 7, 3, 29, 7, 83, 329, 747, 1755, 1067, 2565, 2437, 12309, 15043, 97589, 69409}},
-{17548, 18, 69756, {1, 3, 3, 9, 19, 49, 9, 231, 427, 131, 485, 1637, 1129, 14723, 19071, 47997, 74613, 171539}},
-{17549, 18, 69759, {1, 1, 1, 1, 5, 17, 105, 39, 313, 407, 1321, 3013, 8035, 4395, 15917, 21105, 53599, 21341}},
-{17550, 18, 69770, {1, 3, 1, 15, 7, 35, 5, 153, 485, 1019, 713, 1891, 5023, 13885, 15911, 48215, 81719, 228189}},
-{17551, 18, 69772, {1, 1, 3, 3, 19, 3, 103, 55, 221, 847, 27, 1653, 4887, 3617, 30235, 42353, 67007, 21443}},
-{17552, 18, 69826, {1, 1, 7, 15, 15, 39, 65, 189, 251, 411, 1953, 1187, 141, 14919, 7763, 50879, 2569, 63467}},
-{17553, 18, 69840, {1, 1, 7, 1, 15, 3, 37, 133, 11, 745, 697, 3755, 1233, 2009, 25597, 40661, 40743, 198117}},
-{17554, 18, 69846, {1, 1, 7, 15, 5, 17, 13, 253, 197, 491, 1499, 2141, 6803, 13833, 27297, 385, 54341, 64305}},
-{17555, 18, 69868, {1, 3, 5, 7, 3, 11, 19, 193, 441, 575, 1649, 1821, 2621, 15803, 7343, 37361, 16467, 60629}},
-{17556, 18, 69885, {1, 3, 3, 11, 11, 29, 109, 1, 83, 475, 1913, 1975, 1289, 5221, 24221, 7479, 26683, 203435}},
-{17557, 18, 69946, {1, 1, 3, 13, 3, 35, 119, 131, 323, 413, 147, 4009, 3167, 11161, 30523, 65223, 109859, 239317}},
-{17558, 18, 69966, {1, 3, 1, 11, 25, 17, 103, 165, 437, 163, 1141, 105, 3655, 8105, 20859, 50727, 27915, 19309}},
-{17559, 18, 69973, {1, 3, 3, 11, 9, 59, 17, 135, 131, 781, 675, 2865, 7287, 11431, 3717, 56691, 54971, 83433}},
-{17560, 18, 69977, {1, 1, 1, 11, 3, 1, 59, 35, 299, 927, 1761, 823, 287, 13271, 30321, 32895, 45961, 23151}},
-{17561, 18, 69980, {1, 3, 3, 7, 11, 3, 11, 115, 241, 497, 1359, 1789, 6677, 2683, 21145, 58185, 46131, 17591}},
-{17562, 18, 69984, {1, 3, 1, 3, 17, 5, 65, 169, 247, 1001, 1183, 1801, 759, 2797, 28721, 7549, 112463, 127451}},
-{17563, 18, 69994, {1, 1, 1, 11, 1, 49, 5, 227, 333, 793, 759, 2845, 6261, 6325, 6581, 35853, 39737, 21457}},
-{17564, 18, 70024, {1, 1, 1, 3, 7, 17, 81, 105, 453, 207, 1113, 301, 4933, 14715, 18815, 29165, 85251, 209171}},
-{17565, 18, 70044, {1, 3, 1, 13, 3, 25, 7, 109, 249, 649, 1009, 937, 659, 14605, 13325, 26003, 45507, 166837}},
-{17566, 18, 70053, {1, 3, 7, 11, 19, 57, 55, 213, 261, 325, 761, 3167, 6823, 15039, 13329, 30195, 52103, 27877}},
-{17567, 18, 70086, {1, 3, 3, 11, 31, 45, 3, 185, 225, 143, 651, 327, 4263, 6005, 31577, 57779, 90485, 48393}},
-{17568, 18, 70113, {1, 1, 3, 13, 9, 21, 97, 63, 285, 531, 1275, 175, 693, 3735, 15137, 62193, 80533, 196545}},
-{17569, 18, 70120, {1, 1, 1, 11, 5, 25, 101, 111, 101, 17, 1999, 3709, 19, 5087, 20151, 4781, 88417, 186293}},
-{17570, 18, 70131, {1, 1, 5, 7, 31, 37, 39, 85, 451, 189, 1521, 619, 5021, 2601, 32447, 43513, 8317, 170611}},
-{17571, 18, 70150, {1, 1, 7, 1, 25, 45, 33, 111, 443, 719, 1869, 3619, 5751, 2649, 27823, 55465, 113203, 23875}},
-{17572, 18, 70178, {1, 3, 5, 15, 19, 47, 49, 241, 75, 395, 307, 1001, 137, 7029, 21661, 39159, 94129, 106693}},
-{17573, 18, 70198, {1, 3, 7, 1, 7, 35, 85, 27, 285, 975, 565, 2119, 5861, 9229, 15877, 25017, 10551, 155357}},
-{17574, 18, 70227, {1, 3, 3, 5, 29, 41, 17, 159, 211, 571, 907, 1745, 6541, 11643, 4441, 54599, 83359, 57227}},
-{17575, 18, 70285, {1, 3, 7, 5, 19, 11, 37, 191, 75, 443, 1833, 1715, 6949, 2477, 31161, 15647, 84305, 82887}},
-{17576, 18, 70288, {1, 1, 3, 9, 29, 35, 87, 11, 147, 443, 1659, 2457, 1615, 16135, 10729, 31583, 111583, 52607}},
-{17577, 18, 70291, {1, 3, 7, 1, 7, 47, 55, 133, 53, 23, 225, 2689, 3075, 12435, 8337, 37065, 58631, 247415}},
-{17578, 18, 70309, {1, 3, 3, 9, 23, 39, 5, 17, 353, 443, 627, 1609, 5277, 3899, 31111, 5935, 25445, 161043}},
-{17579, 18, 70334, {1, 3, 3, 11, 31, 11, 97, 99, 37, 169, 1361, 689, 5481, 5935, 11957, 36761, 105641, 250905}},
-{17580, 18, 70339, {1, 1, 7, 15, 31, 33, 3, 201, 125, 649, 315, 497, 7715, 2331, 9081, 16073, 88459, 70475}},
-{17581, 18, 70381, {1, 1, 7, 13, 25, 25, 39, 193, 185, 253, 495, 1143, 3745, 3459, 10935, 22029, 70213, 245827}},
-{17582, 18, 70413, {1, 3, 3, 11, 1, 47, 93, 27, 117, 755, 1837, 4045, 4839, 3413, 21395, 41905, 6505, 158029}},
-{17583, 18, 70414, {1, 3, 5, 5, 3, 41, 23, 207, 3, 409, 1635, 3511, 899, 747, 10623, 44933, 62439, 75577}},
-{17584, 18, 70481, {1, 3, 7, 15, 1, 15, 113, 175, 43, 513, 515, 1295, 1903, 9961, 20995, 57319, 40649, 22799}},
-{17585, 18, 70488, {1, 1, 5, 9, 7, 25, 99, 167, 117, 547, 777, 3819, 4409, 13465, 3963, 53355, 67895, 58007}},
-{17586, 18, 70493, {1, 1, 5, 9, 25, 9, 11, 113, 455, 563, 143, 1507, 4055, 6805, 25027, 37645, 475, 193193}},
-{17587, 18, 70515, {1, 1, 1, 11, 15, 27, 123, 199, 229, 27, 1285, 4013, 6541, 11203, 23705, 56821, 59665, 151109}},
-{17588, 18, 70540, {1, 1, 3, 1, 31, 19, 27, 129, 235, 407, 865, 2723, 5387, 7727, 2309, 45787, 118107, 199907}},
-{17589, 18, 70543, {1, 1, 5, 15, 17, 1, 21, 167, 165, 203, 745, 825, 7993, 15191, 13731, 13417, 543, 201511}},
-{17590, 18, 70558, {1, 3, 1, 1, 29, 49, 45, 81, 321, 755, 1319, 633, 4889, 7809, 6305, 58233, 20213, 144915}},
-{17591, 18, 70568, {1, 1, 3, 13, 1, 31, 73, 173, 111, 961, 1995, 3827, 879, 5567, 31103, 13227, 126611, 204507}},
-{17592, 18, 70582, {1, 1, 3, 7, 21, 3, 75, 137, 125, 981, 1991, 1167, 1249, 3821, 19503, 52855, 122329, 68717}},
-{17593, 18, 70593, {1, 1, 1, 13, 17, 17, 69, 167, 327, 635, 427, 2125, 7499, 9715, 24097, 39361, 64301, 63411}},
-{17594, 18, 70596, {1, 1, 1, 1, 31, 57, 55, 31, 289, 251, 823, 2301, 5965, 3381, 479, 39545, 93051, 68683}},
-{17595, 18, 70613, {1, 1, 3, 3, 15, 27, 117, 37, 29, 851, 1891, 3507, 6279, 323, 11451, 57961, 41487, 188359}},
-{17596, 18, 70620, {1, 1, 5, 1, 25, 55, 125, 207, 129, 849, 589, 1381, 3395, 645, 1157, 29285, 105423, 104429}},
-{17597, 18, 70647, {1, 1, 7, 7, 9, 47, 41, 103, 473, 395, 883, 1087, 2827, 9685, 6313, 15461, 39803, 254865}},
-{17598, 18, 70666, {1, 1, 7, 3, 17, 55, 71, 119, 159, 185, 1415, 3033, 3045, 1403, 18349, 2727, 123995, 45953}},
-{17599, 18, 70710, {1, 1, 3, 15, 17, 11, 19, 25, 483, 29, 1329, 1779, 2885, 6655, 28327, 42255, 87555, 211051}},
-{17600, 18, 70719, {1, 3, 5, 11, 29, 19, 43, 141, 157, 87, 1091, 3505, 3139, 11919, 12123, 31581, 116229, 167875}},
-{17601, 18, 70721, {1, 3, 1, 5, 25, 55, 113, 219, 491, 607, 1641, 3833, 3153, 1881, 16027, 39923, 38551, 204819}},
-{17602, 18, 70722, {1, 1, 5, 3, 7, 9, 73, 181, 305, 211, 1699, 983, 3051, 11643, 12445, 44827, 74613, 199699}},
-{17603, 18, 70742, {1, 1, 3, 5, 23, 21, 115, 49, 311, 205, 963, 1357, 4013, 8357, 7065, 47757, 7937, 249935}},
-{17604, 18, 70757, {1, 1, 1, 9, 23, 61, 21, 165, 9, 829, 457, 3975, 5831, 10901, 15871, 36769, 45899, 162083}},
-{17605, 18, 70764, {1, 1, 3, 3, 25, 41, 91, 45, 37, 939, 299, 3815, 6433, 3121, 10585, 62125, 51333, 171615}},
-{17606, 18, 70781, {1, 1, 5, 11, 1, 1, 39, 45, 141, 803, 1493, 1151, 6243, 8683, 30223, 53661, 7949, 197291}},
-{17607, 18, 70795, {1, 1, 3, 1, 17, 35, 29, 253, 395, 933, 1015, 3431, 139, 9095, 30745, 39747, 58837, 28517}},
-{17608, 18, 70803, {1, 1, 5, 3, 21, 17, 105, 21, 249, 387, 1985, 951, 6323, 8221, 24601, 57367, 18751, 240661}},
-{17609, 18, 70809, {1, 1, 7, 9, 5, 21, 23, 149, 243, 501, 935, 855, 1821, 15885, 2239, 39091, 93615, 31411}},
-{17610, 18, 70821, {1, 1, 1, 3, 23, 11, 43, 5, 65, 193, 1723, 3253, 7533, 12987, 571, 56073, 125061, 97117}},
-{17611, 18, 70846, {1, 1, 1, 13, 13, 21, 113, 79, 115, 867, 777, 2199, 501, 2913, 18697, 14959, 18369, 41631}},
-{17612, 18, 70882, {1, 1, 7, 13, 13, 53, 101, 165, 447, 995, 587, 201, 1701, 6429, 8647, 59265, 27321, 110841}},
-{17613, 18, 70887, {1, 3, 1, 3, 25, 35, 67, 95, 173, 877, 1133, 3027, 2321, 12517, 4313, 24469, 40313, 253095}},
-{17614, 18, 70940, {1, 1, 1, 9, 17, 33, 103, 141, 259, 963, 1975, 2979, 5017, 15689, 30659, 55145, 73737, 43539}},
-{17615, 18, 70961, {1, 3, 1, 15, 7, 7, 7, 1, 267, 415, 1591, 17, 2451, 13415, 6993, 16631, 90019, 237161}},
-{17616, 18, 70996, {1, 1, 7, 11, 11, 37, 107, 143, 263, 49, 1391, 3269, 6139, 1413, 26557, 16369, 86789, 89151}},
-{17617, 18, 71012, {1, 1, 7, 13, 27, 41, 3, 169, 453, 547, 157, 3219, 4711, 9805, 10657, 8121, 40229, 247825}},
-{17618, 18, 71046, {1, 3, 3, 3, 25, 25, 109, 253, 67, 901, 259, 1159, 6161, 6763, 19669, 42775, 74089, 69821}},
-{17619, 18, 71057, {1, 3, 7, 15, 11, 25, 91, 137, 247, 851, 511, 1847, 1179, 411, 9545, 31275, 46201, 169677}},
-{17620, 18, 71060, {1, 1, 5, 3, 3, 61, 19, 167, 491, 765, 1997, 3267, 883, 15439, 27581, 24865, 128245, 130055}},
-{17621, 18, 71063, {1, 1, 3, 9, 17, 61, 7, 109, 325, 347, 1109, 889, 2995, 4763, 21551, 60137, 91833, 126989}},
-{17622, 18, 71079, {1, 3, 3, 7, 5, 17, 61, 107, 209, 577, 885, 2611, 1471, 7549, 16199, 12319, 48865, 242229}},
-{17623, 18, 71080, {1, 3, 5, 1, 5, 49, 85, 177, 213, 583, 857, 179, 1805, 4297, 5835, 61923, 22741, 261983}},
-{17624, 18, 71111, {1, 3, 1, 13, 1, 1, 83, 227, 457, 375, 567, 1563, 2085, 8153, 12563, 44561, 115487, 188351}},
-{17625, 18, 71118, {1, 3, 1, 9, 15, 39, 127, 135, 181, 967, 1495, 3187, 7463, 9651, 26261, 57435, 42069, 48549}},
-{17626, 18, 71129, {1, 3, 1, 7, 5, 31, 111, 19, 19, 855, 273, 2089, 6001, 2799, 26013, 6625, 75623, 150185}},
-{17627, 18, 71136, {1, 1, 7, 1, 31, 19, 15, 159, 35, 791, 1005, 3947, 7031, 41, 28807, 45299, 37761, 101191}},
-{17628, 18, 71142, {1, 3, 5, 3, 15, 7, 7, 67, 329, 367, 843, 2309, 3023, 5369, 21561, 18881, 14395, 193369}},
-{17629, 18, 71145, {1, 3, 3, 11, 21, 53, 3, 251, 87, 131, 563, 847, 8049, 1639, 30103, 30461, 108427, 125197}},
-{17630, 18, 71151, {1, 1, 1, 5, 21, 45, 79, 229, 29, 133, 1873, 261, 4221, 3091, 25569, 11219, 70693, 227025}},
-{17631, 18, 71163, {1, 3, 1, 5, 17, 9, 75, 101, 155, 311, 789, 821, 7361, 3791, 18511, 57607, 97647, 42107}},
-{17632, 18, 71218, {1, 3, 1, 11, 21, 39, 33, 179, 7, 775, 55, 3779, 6163, 3575, 27535, 32363, 9169, 57133}},
-{17633, 18, 71223, {1, 3, 7, 3, 19, 33, 19, 11, 173, 175, 219, 3585, 1115, 15693, 23481, 45669, 94149, 19531}},
-{17634, 18, 71232, {1, 1, 5, 11, 11, 49, 29, 217, 229, 757, 1031, 3833, 4235, 13535, 8765, 20707, 52851, 9037}},
-{17635, 18, 71237, {1, 3, 1, 13, 25, 61, 65, 111, 95, 533, 1235, 2947, 3239, 9513, 11395, 9321, 117535, 228289}},
-{17636, 18, 71272, {1, 1, 1, 3, 19, 33, 13, 233, 331, 811, 1931, 1109, 7705, 3129, 19757, 44325, 97903, 165311}},
-{17637, 18, 71323, {1, 1, 3, 15, 13, 55, 57, 81, 257, 613, 1305, 653, 6059, 4935, 15707, 4717, 1859, 109265}},
-{17638, 18, 71339, {1, 1, 7, 15, 15, 19, 19, 91, 213, 311, 1651, 2215, 6985, 2989, 11961, 28647, 111163, 217187}},
-{17639, 18, 71341, {1, 3, 3, 5, 15, 31, 45, 193, 119, 11, 511, 3155, 5989, 813, 32655, 41531, 121007, 24733}},
-{17640, 18, 71349, {1, 3, 7, 1, 19, 63, 61, 11, 225, 677, 1323, 1655, 7607, 15691, 27083, 56743, 116167, 250413}},
-{17641, 18, 71368, {1, 1, 1, 15, 7, 25, 27, 213, 171, 1011, 1483, 119, 6849, 12527, 20601, 35701, 68377, 245669}},
-{17642, 18, 71379, {1, 3, 7, 5, 27, 5, 7, 117, 127, 871, 631, 3395, 1501, 4839, 1857, 45769, 107597, 90385}},
-{17643, 18, 71395, {1, 1, 3, 13, 1, 15, 49, 69, 479, 919, 881, 3069, 5609, 12795, 30225, 14411, 122847, 75569}},
-{17644, 18, 71407, {1, 1, 5, 9, 1, 15, 91, 207, 235, 667, 321, 2047, 841, 16049, 12499, 8799, 8245, 42199}},
-{17645, 18, 71421, {1, 3, 7, 15, 11, 19, 99, 163, 331, 953, 791, 3443, 3215, 8025, 1999, 43685, 72595, 153185}},
-{17646, 18, 71430, {1, 3, 1, 13, 25, 23, 17, 133, 59, 233, 151, 1971, 3611, 3951, 16979, 991, 73325, 158475}},
-{17647, 18, 71436, {1, 3, 5, 11, 1, 53, 123, 81, 285, 457, 1183, 489, 939, 3069, 15845, 24799, 81301, 105187}},
-{17648, 18, 71454, {1, 3, 5, 1, 11, 5, 61, 151, 5, 813, 1347, 1107, 4915, 4035, 18709, 20909, 60569, 55007}},
-{17649, 18, 71467, {1, 3, 3, 7, 27, 41, 79, 193, 471, 415, 937, 2561, 1669, 9213, 21145, 44917, 64763, 33195}},
-{17650, 18, 71472, {1, 3, 7, 13, 31, 5, 71, 237, 419, 957, 1741, 2829, 5879, 8143, 8717, 48995, 114465, 110295}},
-{17651, 18, 71478, {1, 1, 7, 3, 7, 23, 83, 161, 381, 313, 383, 2813, 333, 4647, 18321, 10437, 111645, 55509}},
-{17652, 18, 71481, {1, 1, 5, 9, 23, 1, 83, 121, 245, 37, 1097, 1437, 3891, 2727, 30775, 27649, 95571, 216245}},
-{17653, 18, 71501, {1, 1, 5, 7, 1, 43, 59, 253, 329, 421, 791, 3945, 2599, 2243, 11121, 37761, 27223, 176867}},
-{17654, 18, 71519, {1, 3, 5, 5, 25, 59, 85, 155, 367, 291, 1025, 1415, 7871, 14191, 23249, 32233, 93253, 177869}},
-{17655, 18, 71530, {1, 1, 1, 9, 21, 41, 111, 241, 177, 999, 779, 2827, 1683, 6405, 16133, 26523, 102567, 190313}},
-{17656, 18, 71550, {1, 3, 3, 15, 13, 59, 69, 239, 231, 511, 1675, 147, 4041, 3723, 29191, 24913, 15601, 198141}},
-{17657, 18, 71573, {1, 3, 3, 9, 17, 29, 1, 107, 243, 509, 1949, 205, 1693, 6339, 31591, 61527, 128043, 222497}},
-{17658, 18, 71593, {1, 3, 7, 3, 21, 7, 87, 57, 9, 209, 1831, 2189, 5523, 8509, 23687, 46221, 87469, 146815}},
-{17659, 18, 71608, {1, 3, 7, 9, 5, 45, 51, 207, 401, 681, 469, 1951, 793, 16379, 32143, 55457, 91787, 178569}},
-{17660, 18, 71619, {1, 3, 3, 9, 19, 15, 121, 143, 243, 795, 1839, 2411, 7175, 11535, 31995, 4157, 20111, 92653}},
-{17661, 18, 71622, {1, 3, 1, 1, 1, 5, 47, 107, 455, 429, 1411, 2375, 2823, 14657, 16297, 21893, 115257, 50343}},
-{17662, 18, 71636, {1, 3, 5, 9, 19, 63, 55, 197, 281, 797, 1539, 2601, 4497, 1631, 26583, 23819, 104553, 27285}},
-{17663, 18, 71650, {1, 1, 3, 9, 23, 41, 123, 37, 327, 789, 1711, 1299, 6735, 7243, 30635, 21251, 56081, 65623}},
-{17664, 18, 71655, {1, 3, 7, 15, 25, 49, 89, 231, 133, 1003, 351, 765, 7115, 16239, 1141, 44063, 31519, 233719}},
-{17665, 18, 71685, {1, 3, 7, 3, 13, 37, 93, 83, 59, 539, 1185, 525, 705, 993, 1113, 1871, 60817, 254075}},
-{17666, 18, 71703, {1, 3, 7, 11, 25, 33, 23, 21, 141, 451, 25, 1321, 5139, 8947, 10305, 30175, 43123, 113049}},
-{17667, 18, 71714, {1, 3, 5, 5, 17, 1, 125, 211, 143, 637, 1175, 1149, 6775, 11091, 12503, 5537, 35379, 30045}},
-{17668, 18, 71748, {1, 1, 1, 15, 17, 31, 123, 33, 279, 831, 1247, 2305, 1033, 3201, 231, 23173, 34453, 66617}},
-{17669, 18, 71758, {1, 3, 3, 1, 3, 1, 23, 115, 421, 553, 273, 4091, 5965, 7521, 18393, 31229, 78533, 243921}},
-{17670, 18, 71766, {1, 1, 7, 15, 15, 29, 73, 165, 391, 215, 1801, 45, 7451, 6969, 27897, 36599, 103647, 145165}},
-{17671, 18, 71772, {1, 3, 3, 13, 5, 7, 67, 81, 477, 301, 1397, 921, 3777, 12431, 14753, 50555, 24497, 52995}},
-{17672, 18, 71785, {1, 1, 5, 5, 27, 21, 91, 155, 405, 347, 1135, 3701, 2471, 577, 3927, 52605, 1725, 25803}},
-{17673, 18, 71794, {1, 3, 1, 3, 15, 57, 117, 175, 437, 13, 1821, 649, 899, 1295, 2753, 2183, 47923, 163407}},
-{17674, 18, 71796, {1, 3, 5, 9, 23, 15, 103, 179, 233, 787, 715, 3751, 3321, 2069, 8299, 43417, 96549, 180737}},
-{17675, 18, 71803, {1, 3, 7, 9, 1, 41, 81, 205, 141, 707, 397, 763, 4797, 8843, 3311, 37425, 43873, 131491}},
-{17676, 18, 71809, {1, 1, 5, 3, 9, 29, 123, 163, 15, 871, 159, 2615, 6987, 471, 25653, 11295, 94481, 195409}},
-{17677, 18, 71858, {1, 3, 7, 3, 13, 7, 9, 59, 59, 381, 2027, 2639, 59, 7977, 14505, 34327, 99113, 157439}},
-{17678, 18, 71863, {1, 1, 5, 9, 27, 13, 87, 85, 443, 531, 1069, 3479, 6547, 13943, 13711, 11007, 37395, 190293}},
-{17679, 18, 71878, {1, 3, 7, 9, 19, 47, 95, 229, 395, 979, 359, 1799, 7389, 14377, 19371, 56785, 6699, 215433}},
-{17680, 18, 71895, {1, 1, 1, 5, 21, 15, 59, 17, 281, 585, 293, 3029, 2539, 16089, 19, 34757, 115811, 235565}},
-{17681, 18, 71899, {1, 1, 7, 11, 27, 19, 55, 217, 475, 119, 1291, 1761, 6879, 4355, 30019, 17573, 14987, 204623}},
-{17682, 18, 71906, {1, 1, 7, 11, 29, 47, 5, 201, 165, 845, 385, 2903, 7735, 10855, 14171, 17881, 45001, 100725}},
-{17683, 18, 71908, {1, 1, 5, 5, 31, 57, 99, 35, 315, 363, 1135, 897, 1041, 729, 26987, 15299, 29563, 67293}},
-{17684, 18, 71917, {1, 1, 5, 7, 27, 13, 99, 81, 491, 887, 1309, 3343, 7241, 1289, 12021, 52533, 101799, 238721}},
-{17685, 18, 71952, {1, 1, 1, 11, 27, 49, 79, 235, 49, 215, 2003, 2771, 5943, 1183, 31931, 33885, 56971, 52665}},
-{17686, 18, 71957, {1, 1, 1, 13, 13, 1, 123, 1, 191, 747, 859, 2287, 5113, 3715, 2217, 61483, 195, 237163}},
-{17687, 18, 71961, {1, 3, 7, 15, 13, 13, 17, 207, 141, 821, 231, 1373, 5355, 6503, 2403, 18183, 83717, 170047}},
-{17688, 18, 71973, {1, 3, 1, 3, 13, 11, 41, 51, 443, 201, 1349, 2331, 1009, 16169, 5247, 50315, 15589, 150497}},
-{17689, 18, 71980, {1, 3, 5, 13, 29, 21, 93, 55, 27, 17, 1615, 3473, 3641, 10999, 31955, 4699, 23585, 141243}},
-{17690, 18, 71997, {1, 3, 3, 11, 11, 27, 125, 139, 53, 637, 241, 2651, 4999, 5923, 16203, 13645, 95965, 94459}},
-{17691, 18, 72017, {1, 3, 7, 3, 9, 53, 87, 171, 489, 691, 303, 3599, 6093, 841, 3527, 12953, 22907, 69823}},
-{17692, 18, 72060, {1, 1, 5, 13, 31, 11, 33, 207, 437, 683, 703, 1757, 1443, 14269, 12677, 20877, 46791, 176135}},
-{17693, 18, 72091, {1, 1, 7, 1, 13, 53, 123, 199, 173, 585, 1099, 3653, 2253, 13741, 15675, 38755, 74545, 139053}},
-{17694, 18, 72097, {1, 3, 3, 3, 17, 11, 1, 161, 383, 409, 605, 889, 827, 263, 9677, 42857, 127691, 99621}},
-{17695, 18, 72166, {1, 3, 5, 9, 21, 21, 11, 151, 199, 695, 493, 569, 881, 10533, 11255, 61997, 124921, 211139}},
-{17696, 18, 72172, {1, 3, 5, 5, 9, 47, 109, 7, 195, 287, 97, 3691, 6929, 6985, 3063, 16185, 6313, 228147}},
-{17697, 18, 72183, {1, 3, 1, 3, 3, 9, 107, 243, 391, 893, 1207, 2229, 5295, 723, 14753, 10921, 104147, 214941}},
-{17698, 18, 72203, {1, 3, 1, 9, 5, 63, 63, 247, 413, 805, 285, 4001, 6735, 3531, 25949, 44845, 66959, 194429}},
-{17699, 18, 72205, {1, 1, 3, 1, 15, 15, 43, 69, 419, 739, 1739, 1091, 1043, 3217, 1139, 44749, 74131, 165145}},
-{17700, 18, 72213, {1, 1, 3, 9, 17, 53, 119, 25, 427, 791, 1873, 481, 6793, 4767, 30449, 18079, 52105, 260371}},
-{17701, 18, 72214, {1, 1, 3, 15, 15, 41, 15, 53, 395, 571, 1727, 3081, 4531, 4215, 22359, 18165, 91843, 157273}},
-{17702, 18, 72230, {1, 3, 3, 9, 19, 15, 55, 185, 321, 285, 695, 1067, 2551, 1401, 20023, 22671, 21365, 89053}},
-{17703, 18, 72239, {1, 1, 7, 15, 23, 57, 71, 141, 57, 479, 543, 3783, 3635, 14011, 23603, 40877, 21837, 81079}},
-{17704, 18, 72248, {1, 3, 7, 11, 31, 5, 83, 177, 105, 981, 331, 2901, 1781, 8407, 30199, 19287, 116219, 78471}},
-{17705, 18, 72251, {1, 1, 1, 9, 7, 13, 61, 21, 299, 15, 1045, 475, 7141, 4827, 5921, 17323, 42909, 203623}},
-{17706, 18, 72280, {1, 3, 7, 1, 17, 59, 99, 221, 77, 37, 1263, 2137, 1567, 12473, 20029, 9231, 32739, 17021}},
-{17707, 18, 72313, {1, 1, 1, 5, 23, 61, 39, 13, 97, 191, 1479, 19, 1913, 3185, 32393, 59067, 5483, 158895}},
-{17708, 18, 72338, {1, 1, 1, 7, 5, 51, 81, 223, 435, 939, 781, 1153, 6409, 6369, 30559, 19007, 50121, 26525}},
-{17709, 18, 72340, {1, 3, 3, 5, 29, 1, 57, 127, 153, 897, 161, 683, 295, 11207, 245, 1819, 3061, 242609}},
-{17710, 18, 72343, {1, 1, 1, 7, 5, 19, 105, 57, 263, 433, 1339, 1479, 6671, 9917, 26299, 4573, 68725, 195}},
-{17711, 18, 72368, {1, 3, 5, 15, 1, 19, 45, 95, 155, 117, 367, 2051, 1053, 8847, 6399, 23641, 95355, 98415}},
-{17712, 18, 72371, {1, 3, 3, 15, 3, 1, 5, 115, 349, 747, 1865, 1669, 659, 7097, 7871, 3685, 11013, 59837}},
-{17713, 18, 72426, {1, 3, 3, 5, 9, 47, 51, 131, 327, 903, 975, 2481, 3509, 12481, 4049, 38053, 4629, 254415}},
-{17714, 18, 72439, {1, 3, 5, 9, 31, 47, 1, 29, 37, 683, 1363, 2527, 4019, 4965, 14077, 14191, 101, 1945}},
-{17715, 18, 72446, {1, 1, 7, 1, 9, 35, 41, 187, 509, 33, 385, 3907, 1461, 6827, 6931, 44723, 109495, 184641}},
-{17716, 18, 72494, {1, 3, 5, 9, 5, 49, 21, 171, 353, 927, 409, 913, 5199, 11747, 8777, 19891, 63189, 118839}},
-{17717, 18, 72519, {1, 3, 3, 1, 27, 49, 43, 157, 75, 469, 787, 3957, 4147, 13919, 17489, 57103, 62091, 135589}},
-{17718, 18, 72573, {1, 1, 3, 11, 7, 45, 29, 177, 185, 185, 1537, 127, 121, 817, 31269, 1677, 20245, 3835}},
-{17719, 18, 72577, {1, 1, 5, 3, 21, 9, 67, 79, 391, 971, 1711, 2607, 5705, 12863, 12415, 41255, 26447, 1643}},
-{17720, 18, 72578, {1, 1, 5, 5, 9, 63, 67, 245, 31, 225, 309, 1753, 1507, 817, 4275, 51843, 22331, 196875}},
-{17721, 18, 72614, {1, 3, 1, 13, 15, 39, 3, 245, 147, 485, 241, 2507, 1859, 7299, 15037, 41139, 82757, 224031}},
-{17722, 18, 72628, {1, 3, 3, 15, 7, 51, 9, 103, 37, 643, 25, 2067, 7619, 11991, 12885, 46809, 109107, 22393}},
-{17723, 18, 72640, {1, 1, 1, 9, 1, 55, 119, 85, 115, 827, 187, 2241, 2553, 577, 12115, 2391, 69705, 232101}},
-{17724, 18, 72676, {1, 1, 5, 7, 13, 61, 125, 129, 475, 703, 1723, 3233, 5713, 1941, 21375, 42119, 75199, 73163}},
-{17725, 18, 72708, {1, 1, 5, 5, 5, 21, 73, 155, 493, 81, 1627, 827, 5925, 7391, 1587, 39425, 11807, 64385}},
-{17726, 18, 72717, {1, 3, 1, 15, 27, 35, 111, 183, 283, 335, 1387, 669, 6041, 11637, 26255, 21113, 121183, 219703}},
-{17727, 18, 72766, {1, 3, 5, 15, 15, 23, 119, 91, 197, 809, 975, 3275, 6171, 11769, 8385, 5461, 4561, 29159}},
-{17728, 18, 72786, {1, 1, 5, 9, 29, 9, 107, 233, 417, 1005, 799, 1437, 2679, 15643, 32341, 54055, 27861, 115483}},
-{17729, 18, 72788, {1, 1, 5, 7, 27, 19, 95, 153, 175, 407, 215, 303, 8165, 14791, 2099, 61797, 129411, 10461}},
-{17730, 18, 72795, {1, 1, 1, 13, 25, 51, 11, 77, 97, 495, 971, 449, 2833, 7121, 24105, 34527, 123135, 129305}},
-{17731, 18, 72797, {1, 1, 7, 11, 23, 9, 111, 101, 169, 233, 267, 953, 6379, 15887, 22921, 33665, 95195, 159707}},
-{17732, 18, 72798, {1, 1, 5, 15, 21, 3, 21, 57, 173, 513, 2027, 1235, 5031, 5375, 2717, 23361, 71817, 232101}},
-{17733, 18, 72808, {1, 3, 3, 11, 7, 25, 43, 65, 19, 135, 1611, 85, 7673, 6459, 27813, 55557, 100989, 25205}},
-{17734, 18, 72826, {1, 3, 7, 1, 15, 37, 55, 141, 239, 205, 647, 3715, 1617, 13507, 9847, 64681, 108711, 231329}},
-{17735, 18, 72835, {1, 3, 5, 9, 21, 27, 79, 153, 335, 299, 493, 887, 1457, 16011, 13795, 50205, 43319, 130963}},
-{17736, 18, 72837, {1, 1, 3, 1, 23, 59, 121, 83, 463, 151, 323, 2977, 4769, 6011, 20135, 59541, 23179, 203487}},
-{17737, 18, 72865, {1, 1, 5, 7, 9, 17, 63, 149, 59, 281, 763, 619, 2551, 8179, 2963, 61283, 107727, 119817}},
-{17738, 18, 72871, {1, 3, 7, 3, 15, 39, 11, 145, 141, 965, 505, 2625, 4335, 7619, 11007, 43321, 33199, 212661}},
-{17739, 18, 72872, {1, 3, 5, 9, 9, 61, 27, 223, 5, 941, 513, 1437, 481, 9651, 6567, 57945, 52547, 21283}},
-{17740, 18, 72898, {1, 3, 1, 1, 25, 1, 87, 25, 121, 757, 529, 3857, 1321, 13479, 5357, 49341, 5797, 235895}},
-{17741, 18, 72907, {1, 3, 5, 1, 21, 35, 37, 215, 509, 165, 1423, 3067, 4779, 4693, 12523, 48099, 69283, 255111}},
-{17742, 18, 72909, {1, 1, 3, 1, 31, 15, 45, 127, 339, 331, 1249, 1075, 6169, 2941, 30471, 46789, 118039, 224651}},
-{17743, 18, 72917, {1, 1, 5, 13, 21, 37, 39, 61, 191, 17, 177, 3719, 2177, 11039, 20047, 14489, 20475, 171235}},
-{17744, 18, 72934, {1, 1, 3, 9, 19, 11, 65, 111, 121, 901, 99, 1861, 3687, 765, 24861, 46315, 63433, 171679}},
-{17745, 18, 72987, {1, 3, 1, 7, 1, 51, 87, 199, 241, 909, 353, 2471, 7163, 9547, 16351, 41129, 12217, 194099}},
-{17746, 18, 73000, {1, 1, 7, 7, 17, 17, 127, 67, 51, 217, 1189, 19, 2099, 10281, 9071, 21185, 122821, 110211}},
-{17747, 18, 73005, {1, 3, 3, 7, 15, 3, 53, 45, 77, 665, 701, 3175, 6151, 2639, 19819, 1063, 25079, 203343}},
-{17748, 18, 73014, {1, 1, 5, 11, 11, 5, 103, 11, 481, 999, 713, 499, 5069, 921, 20619, 25623, 69601, 82941}},
-{17749, 18, 73023, {1, 3, 5, 9, 15, 61, 67, 79, 371, 993, 475, 617, 1611, 12513, 14907, 55313, 39207, 112653}},
-{17750, 18, 73025, {1, 1, 5, 15, 17, 45, 91, 187, 175, 465, 907, 3371, 3743, 15657, 30511, 58191, 105683, 216759}},
-{17751, 18, 73074, {1, 1, 5, 9, 23, 1, 17, 79, 73, 717, 1785, 677, 7377, 4511, 21927, 34341, 47119, 193977}},
-{17752, 18, 73076, {1, 3, 7, 13, 21, 1, 59, 179, 121, 641, 175, 563, 961, 10549, 15779, 49875, 8109, 1039}},
-{17753, 18, 73113, {1, 1, 5, 7, 17, 9, 37, 171, 335, 135, 1403, 2541, 3845, 15311, 1905, 40853, 11013, 255669}},
-{17754, 18, 73116, {1, 1, 7, 1, 5, 23, 113, 111, 337, 755, 2037, 3067, 2821, 10549, 28467, 22615, 71585, 61871}},
-{17755, 18, 73140, {1, 1, 3, 9, 7, 3, 49, 229, 111, 871, 1711, 1793, 3089, 12571, 30883, 44773, 80827, 151709}},
-{17756, 18, 73149, {1, 1, 5, 1, 13, 41, 3, 253, 399, 881, 1107, 4081, 1849, 115, 31557, 2515, 126751, 195663}},
-{17757, 18, 73186, {1, 1, 3, 1, 13, 31, 113, 85, 57, 549, 1653, 2927, 5433, 11879, 22709, 41675, 13395, 46931}},
-{17758, 18, 73188, {1, 1, 3, 9, 21, 1, 109, 65, 377, 63, 861, 1031, 2709, 7265, 9861, 64109, 34577, 9743}},
-{17759, 18, 73191, {1, 1, 7, 7, 17, 31, 5, 177, 253, 387, 1271, 2805, 2211, 1813, 11649, 3217, 123793, 197753}},
-{17760, 18, 73205, {1, 1, 3, 9, 15, 63, 89, 59, 455, 783, 1181, 7, 2309, 15961, 11231, 37389, 101221, 119331}},
-{17761, 18, 73215, {1, 3, 3, 13, 7, 3, 15, 251, 431, 951, 639, 1585, 1247, 15927, 9695, 37469, 34945, 219723}},
-{17762, 18, 73216, {1, 1, 5, 3, 21, 29, 83, 151, 383, 227, 215, 2329, 1297, 13709, 15653, 3119, 111319, 222877}},
-{17763, 18, 73239, {1, 3, 1, 13, 1, 43, 127, 125, 243, 955, 583, 3497, 6605, 3821, 4657, 10599, 90927, 82725}},
-{17764, 18, 73294, {1, 1, 1, 1, 15, 51, 61, 167, 489, 603, 873, 907, 575, 6957, 24409, 63587, 50205, 159291}},
-{17765, 18, 73311, {1, 3, 3, 1, 19, 23, 7, 23, 239, 961, 1001, 1541, 2211, 4637, 19931, 39153, 102769, 242005}},
-{17766, 18, 73330, {1, 1, 1, 15, 19, 31, 73, 121, 119, 199, 979, 4061, 3903, 12055, 27957, 15999, 5709, 210329}},
-{17767, 18, 73366, {1, 1, 7, 13, 25, 35, 21, 25, 241, 937, 13, 947, 943, 3727, 15321, 46665, 99437, 233919}},
-{17768, 18, 73379, {1, 1, 1, 9, 3, 51, 127, 113, 105, 335, 685, 2173, 4329, 7569, 5617, 32407, 21649, 30609}},
-{17769, 18, 73386, {1, 3, 7, 9, 9, 13, 69, 191, 95, 727, 1649, 1201, 2093, 10053, 29381, 6207, 70755, 118505}},
-{17770, 18, 73391, {1, 1, 1, 11, 21, 57, 77, 139, 271, 21, 1747, 2337, 7761, 7753, 6847, 5219, 87033, 229105}},
-{17771, 18, 73418, {1, 3, 3, 1, 5, 51, 15, 235, 87, 567, 391, 3039, 2253, 11177, 11899, 25305, 14815, 51051}},
-{17772, 18, 73438, {1, 3, 5, 7, 27, 51, 69, 93, 261, 947, 31, 2751, 6685, 3655, 24125, 22161, 108421, 230865}},
-{17773, 18, 73476, {1, 1, 3, 3, 27, 17, 35, 97, 285, 855, 1767, 2545, 825, 11519, 11231, 50951, 32883, 78573}},
-{17774, 18, 73503, {1, 3, 7, 13, 1, 57, 99, 193, 371, 839, 1319, 2295, 5897, 7893, 14339, 64217, 16951, 234953}},
-{17775, 18, 73509, {1, 3, 1, 3, 11, 37, 13, 21, 299, 379, 63, 1209, 7879, 5001, 10181, 40173, 1753, 104821}},
-{17776, 18, 73534, {1, 3, 5, 9, 23, 51, 75, 103, 249, 533, 621, 15, 1883, 2109, 20859, 4635, 120615, 135515}},
-{17777, 18, 73545, {1, 1, 3, 3, 21, 45, 113, 57, 495, 457, 685, 3625, 243, 14831, 12351, 63001, 118191, 153875}},
-{17778, 18, 73548, {1, 3, 5, 5, 21, 15, 65, 251, 183, 241, 1513, 2711, 4527, 12675, 26747, 5181, 4237, 246479}},
-{17779, 18, 73563, {1, 1, 5, 3, 27, 29, 91, 93, 345, 893, 195, 3109, 2611, 12657, 10401, 15063, 95807, 244587}},
-{17780, 18, 73575, {1, 3, 5, 13, 19, 49, 85, 155, 159, 939, 1139, 1569, 1129, 8641, 18391, 55201, 108491, 77863}},
-{17781, 18, 73582, {1, 3, 5, 9, 25, 53, 75, 77, 85, 903, 1399, 2379, 2219, 14725, 21877, 24271, 40955, 61849}},
-{17782, 18, 73603, {1, 1, 5, 9, 13, 49, 53, 177, 163, 331, 533, 1469, 1397, 8187, 12379, 10185, 125541, 260271}},
-{17783, 18, 73609, {1, 1, 7, 9, 19, 31, 81, 89, 281, 397, 1917, 145, 2723, 15019, 18841, 13887, 11859, 171749}},
-{17784, 18, 73610, {1, 3, 7, 13, 25, 17, 87, 189, 29, 283, 913, 3855, 5707, 15881, 12787, 42357, 84579, 78531}},
-{17785, 18, 73645, {1, 1, 5, 15, 15, 31, 37, 249, 445, 119, 431, 4069, 5699, 10119, 31661, 9555, 6869, 1145}},
-{17786, 18, 73646, {1, 3, 7, 1, 31, 29, 57, 177, 341, 411, 1019, 1889, 383, 1461, 26695, 61777, 18367, 137233}},
-{17787, 18, 73678, {1, 3, 5, 1, 7, 53, 29, 53, 387, 675, 435, 461, 6247, 7519, 14003, 9037, 116599, 54471}},
-{17788, 18, 73685, {1, 3, 3, 7, 17, 59, 91, 77, 169, 591, 95, 113, 6135, 10479, 17153, 52953, 16183, 90775}},
-{17789, 18, 73708, {1, 3, 3, 15, 11, 11, 117, 141, 493, 163, 65, 1305, 7477, 7383, 22651, 64271, 80983, 154845}},
-{17790, 18, 73747, {1, 1, 1, 3, 9, 15, 83, 11, 113, 77, 1115, 1417, 511, 6825, 21013, 37241, 104695, 31335}},
-{17791, 18, 73765, {1, 1, 7, 3, 13, 33, 115, 121, 245, 673, 1991, 2157, 479, 9843, 5963, 4637, 8925, 27751}},
-{17792, 18, 73797, {1, 3, 3, 7, 19, 11, 67, 125, 339, 27, 1545, 2319, 5977, 11603, 23219, 48273, 119265, 20151}},
-{17793, 18, 73810, {1, 1, 5, 7, 27, 29, 31, 227, 279, 405, 1133, 689, 1133, 8957, 29629, 48849, 109995, 259749}},
-{17794, 18, 73819, {1, 3, 5, 7, 7, 61, 95, 243, 91, 741, 1591, 3169, 2287, 11015, 15601, 43043, 65319, 50671}},
-{17795, 18, 73825, {1, 1, 5, 5, 13, 47, 31, 95, 425, 715, 1603, 3485, 673, 12869, 32561, 42329, 112809, 181971}},
-{17796, 18, 73845, {1, 3, 3, 3, 17, 51, 109, 45, 397, 457, 1379, 3845, 4215, 14185, 16597, 27711, 74283, 98151}},
-{17797, 18, 73855, {1, 1, 1, 15, 7, 25, 13, 49, 441, 513, 1769, 707, 6037, 9689, 18915, 35647, 110823, 196633}},
-{17798, 18, 73866, {1, 1, 1, 1, 23, 53, 93, 61, 277, 125, 55, 2453, 3331, 14037, 10809, 33205, 43785, 248743}},
-{17799, 18, 73890, {1, 1, 3, 7, 23, 15, 93, 77, 333, 801, 1969, 31, 51, 5239, 24241, 5077, 113503, 132211}},
-{17800, 18, 73919, {1, 3, 3, 1, 7, 55, 53, 5, 311, 657, 1507, 3413, 565, 15745, 6129, 40285, 91811, 90527}},
-{17801, 18, 73922, {1, 3, 3, 13, 19, 23, 45, 25, 509, 313, 915, 2199, 5549, 8469, 32735, 37877, 11607, 37993}},
-{17802, 18, 73936, {1, 1, 5, 11, 25, 33, 55, 31, 311, 851, 159, 2103, 2641, 8957, 9375, 37179, 33667, 100513}},
-{17803, 18, 73939, {1, 3, 1, 1, 7, 7, 17, 75, 217, 171, 359, 1169, 4105, 929, 6427, 56349, 77985, 41941}},
-{17804, 18, 73964, {1, 1, 1, 15, 5, 51, 73, 63, 259, 351, 1797, 1001, 5025, 11203, 30221, 54345, 11331, 158415}},
-{17805, 18, 73976, {1, 3, 1, 5, 3, 21, 13, 3, 63, 779, 871, 2517, 6345, 4103, 16321, 30211, 120815, 83751}},
-{17806, 18, 73984, {1, 1, 3, 13, 11, 7, 41, 255, 215, 37, 279, 2485, 6511, 12855, 22857, 55695, 122717, 238151}},
-{17807, 18, 73990, {1, 3, 3, 3, 1, 55, 27, 193, 509, 677, 1861, 573, 5341, 5285, 6909, 51781, 91203, 139791}},
-{17808, 18, 74013, {1, 3, 7, 11, 5, 63, 87, 215, 305, 235, 1049, 1339, 5301, 9639, 29861, 58415, 68303, 76907}},
-{17809, 18, 74014, {1, 1, 5, 11, 13, 13, 67, 139, 19, 577, 165, 3067, 8023, 10905, 3159, 41289, 118231, 119673}},
-{17810, 18, 74020, {1, 1, 3, 1, 15, 5, 69, 119, 363, 703, 461, 2293, 3801, 14217, 10709, 9553, 100651, 186115}},
-{17811, 18, 74035, {1, 3, 7, 15, 19, 21, 59, 237, 227, 193, 827, 619, 3447, 13815, 3467, 38911, 41403, 99627}},
-{17812, 18, 74038, {1, 1, 3, 3, 27, 23, 41, 199, 161, 555, 1629, 3187, 1355, 5947, 1157, 25877, 110989, 231285}},
-{17813, 18, 74069, {1, 1, 3, 15, 3, 43, 103, 29, 179, 223, 375, 2877, 1917, 9367, 15337, 15381, 62833, 139003}},
-{17814, 18, 74119, {1, 3, 3, 11, 23, 33, 107, 189, 511, 209, 1519, 2809, 6185, 5921, 20939, 63879, 113687, 79149}},
-{17815, 18, 74123, {1, 3, 5, 15, 1, 63, 101, 227, 419, 803, 59, 2261, 6905, 10679, 5393, 54447, 58521, 59855}},
-{17816, 18, 74126, {1, 1, 7, 13, 13, 21, 121, 123, 181, 371, 1485, 3191, 2627, 6197, 11169, 44927, 34739, 10687}},
-{17817, 18, 74153, {1, 1, 3, 3, 25, 47, 13, 115, 187, 967, 1439, 1021, 4413, 3343, 31463, 3729, 13511, 162125}},
-{17818, 18, 74179, {1, 3, 3, 15, 15, 59, 29, 129, 469, 171, 2045, 2859, 1097, 11199, 12147, 37465, 14179, 197923}},
-{17819, 18, 74200, {1, 1, 7, 5, 13, 35, 41, 167, 207, 123, 1077, 3145, 2803, 15729, 767, 7321, 84375, 190855}},
-{17820, 18, 74210, {1, 3, 5, 11, 3, 5, 65, 3, 111, 725, 143, 2945, 4755, 3407, 31801, 15329, 70311, 119197}},
-{17821, 18, 74216, {1, 1, 5, 3, 17, 19, 61, 73, 261, 663, 821, 3389, 3883, 9961, 17727, 33113, 98371, 247097}},
-{17822, 18, 74250, {1, 3, 1, 9, 29, 17, 43, 43, 481, 1015, 1249, 607, 3495, 13259, 29001, 23083, 51487, 81723}},
-{17823, 18, 74263, {1, 3, 1, 3, 25, 57, 5, 33, 313, 21, 1731, 3417, 7033, 6609, 31631, 63231, 61107, 10941}},
-{17824, 18, 74264, {1, 3, 3, 11, 29, 29, 117, 131, 417, 789, 1545, 1677, 3213, 13869, 5319, 41387, 13895, 252387}},
-{17825, 18, 74279, {1, 3, 3, 13, 25, 47, 55, 213, 83, 345, 1453, 159, 1521, 14777, 24177, 7631, 81259, 135411}},
-{17826, 18, 74285, {1, 1, 3, 15, 11, 63, 49, 69, 273, 843, 1661, 1157, 1285, 12751, 5, 54909, 114375, 6395}},
-{17827, 18, 74294, {1, 3, 1, 11, 25, 1, 83, 55, 161, 125, 1547, 401, 7639, 4289, 7075, 9971, 33825, 135071}},
-{17828, 18, 74298, {1, 3, 7, 9, 17, 5, 79, 131, 373, 1023, 573, 2219, 1789, 5789, 5347, 26455, 58661, 206417}},
-{17829, 18, 74303, {1, 1, 7, 5, 1, 43, 83, 107, 125, 289, 793, 1731, 5167, 8943, 28397, 26877, 53781, 95899}},
-{17830, 18, 74306, {1, 3, 3, 13, 21, 53, 123, 103, 385, 753, 1917, 2075, 4385, 5757, 9221, 35797, 86743, 69069}},
-{17831, 18, 74366, {1, 3, 3, 3, 5, 19, 119, 221, 457, 907, 359, 3493, 2331, 5685, 11133, 29293, 27051, 213927}},
-{17832, 18, 74369, {1, 1, 3, 11, 11, 31, 29, 129, 429, 601, 1217, 3653, 5935, 14823, 21161, 33423, 98391, 214703}},
-{17833, 18, 74403, {1, 1, 3, 15, 31, 49, 109, 139, 349, 13, 205, 2483, 8083, 8391, 4789, 30355, 12165, 195263}},
-{17834, 18, 74406, {1, 1, 1, 9, 19, 63, 15, 167, 45, 185, 811, 529, 6811, 13441, 27195, 59047, 106675, 167125}},
-{17835, 18, 74442, {1, 1, 7, 1, 19, 19, 39, 1, 349, 467, 551, 4081, 4743, 11627, 607, 22005, 60893, 49101}},
-{17836, 18, 74450, {1, 3, 7, 9, 9, 25, 105, 119, 113, 825, 1429, 2019, 5209, 8491, 6017, 47783, 88455, 119083}},
-{17837, 18, 74452, {1, 3, 3, 13, 21, 39, 107, 119, 321, 251, 563, 311, 4441, 6491, 3157, 65479, 107349, 211621}},
-{17838, 18, 74459, {1, 1, 7, 13, 9, 3, 17, 117, 327, 459, 489, 7, 6883, 10047, 31935, 28069, 37903, 188281}},
-{17839, 18, 74461, {1, 1, 7, 1, 15, 53, 47, 127, 483, 595, 811, 1143, 4543, 10043, 30349, 24409, 91947, 240165}},
-{17840, 18, 74477, {1, 1, 1, 13, 25, 43, 109, 161, 147, 1009, 1071, 1533, 2781, 13439, 20507, 41387, 26943, 84675}},
-{17841, 18, 74478, {1, 3, 5, 13, 19, 21, 23, 167, 135, 257, 587, 2691, 5877, 3047, 11745, 24895, 114799, 48003}},
-{17842, 18, 74489, {1, 3, 1, 1, 9, 57, 33, 51, 137, 109, 137, 195, 1233, 11139, 16833, 27545, 35877, 126627}},
-{17843, 18, 74504, {1, 1, 1, 15, 5, 37, 7, 19, 363, 411, 1193, 767, 6209, 9115, 14699, 55515, 46023, 90693}},
-{17844, 18, 74528, {1, 3, 5, 3, 19, 55, 85, 117, 391, 757, 861, 3537, 6507, 6993, 19589, 6843, 33557, 64683}},
-{17845, 18, 74533, {1, 1, 7, 5, 5, 61, 99, 9, 311, 595, 807, 429, 63, 12359, 28289, 709, 129911, 143745}},
-{17846, 18, 74538, {1, 1, 1, 7, 17, 9, 9, 117, 19, 985, 657, 2803, 2699, 829, 31069, 13277, 106769, 109231}},
-{17847, 18, 74551, {1, 1, 5, 13, 25, 19, 63, 217, 419, 221, 1921, 215, 2631, 4659, 29855, 46549, 62257, 260113}},
-{17848, 18, 74580, {1, 3, 3, 9, 13, 45, 63, 129, 147, 489, 879, 3025, 6777, 1119, 20963, 30553, 20863, 169837}},
-{17849, 18, 74589, {1, 3, 5, 9, 25, 61, 79, 51, 495, 583, 1519, 1501, 123, 13871, 32239, 957, 31921, 255561}},
-{17850, 18, 74590, {1, 3, 7, 3, 31, 61, 89, 65, 305, 429, 785, 3871, 7711, 2745, 24131, 43055, 51167, 87743}},
-{17851, 18, 74593, {1, 3, 1, 11, 19, 23, 89, 117, 185, 121, 109, 1327, 6553, 14367, 16069, 28657, 81751, 10185}},
-{17852, 18, 74608, {1, 3, 5, 5, 17, 33, 115, 61, 101, 367, 1465, 3899, 6601, 4483, 2447, 49575, 129987, 11703}},
-{17853, 18, 74611, {1, 1, 3, 13, 13, 59, 79, 83, 253, 171, 53, 2467, 5005, 1045, 943, 62419, 98563, 78935}},
-{17854, 18, 74617, {1, 1, 7, 15, 31, 17, 77, 73, 249, 247, 119, 1655, 7079, 14593, 105, 55767, 130401, 74189}},
-{17855, 18, 74623, {1, 3, 5, 11, 19, 29, 79, 251, 75, 949, 527, 2779, 5839, 11451, 24125, 45991, 127437, 86541}},
-{17856, 18, 74648, {1, 1, 5, 7, 1, 29, 127, 27, 477, 807, 829, 1569, 205, 13319, 16149, 26003, 38985, 188587}},
-{17857, 18, 74704, {1, 1, 1, 3, 19, 29, 39, 71, 17, 51, 1169, 467, 7505, 1867, 4469, 32161, 43031, 31675}},
-{17858, 18, 74735, {1, 1, 1, 15, 27, 45, 67, 107, 127, 469, 1955, 1933, 2379, 8513, 32071, 35043, 126537, 23303}},
-{17859, 18, 74737, {1, 3, 7, 9, 23, 41, 23, 197, 97, 213, 17, 1751, 5467, 6179, 29291, 33397, 42131, 151093}},
-{17860, 18, 74738, {1, 3, 7, 15, 27, 3, 39, 87, 365, 77, 487, 293, 6405, 2239, 30455, 44723, 12399, 100013}},
-{17861, 18, 74779, {1, 3, 5, 9, 29, 21, 55, 183, 343, 263, 1643, 2027, 2255, 6259, 18277, 64661, 39391, 255839}},
-{17862, 18, 74781, {1, 1, 7, 11, 21, 55, 11, 139, 261, 11, 1721, 3779, 85, 8203, 12089, 50579, 128341, 119043}},
-{17863, 18, 74809, {1, 3, 5, 13, 27, 53, 109, 1, 313, 661, 431, 1543, 1571, 7337, 18857, 49951, 7881, 228161}},
-{17864, 18, 74812, {1, 1, 7, 5, 5, 31, 27, 149, 239, 199, 1011, 1979, 5297, 14609, 26971, 65531, 64215, 115109}},
-{17865, 18, 74827, {1, 1, 5, 13, 15, 11, 63, 225, 165, 405, 1367, 2291, 5171, 12419, 19561, 37719, 621, 137607}},
-{17866, 18, 74868, {1, 3, 1, 15, 25, 1, 125, 243, 97, 455, 1977, 3333, 801, 1343, 993, 18453, 19285, 71547}},
-{17867, 18, 74871, {1, 1, 5, 11, 9, 51, 109, 135, 73, 147, 649, 4071, 7425, 3093, 26417, 51139, 1523, 142225}},
-{17868, 18, 74905, {1, 3, 7, 11, 1, 39, 109, 119, 337, 715, 1087, 4005, 1393, 6397, 31135, 38935, 106255, 60723}},
-{17869, 18, 74930, {1, 1, 1, 9, 9, 11, 45, 11, 171, 671, 965, 109, 2261, 13775, 8539, 63669, 10507, 249113}},
-{17870, 18, 74962, {1, 3, 1, 15, 21, 33, 127, 173, 419, 31, 299, 857, 4915, 11331, 29385, 47375, 111891, 14505}},
-{17871, 18, 74990, {1, 3, 5, 13, 7, 43, 85, 183, 377, 275, 803, 1755, 8005, 15327, 31043, 18851, 122581, 229731}},
-{17872, 18, 74995, {1, 3, 5, 1, 27, 9, 41, 73, 283, 475, 671, 747, 1419, 15209, 25465, 60061, 91417, 103203}},
-{17873, 18, 75007, {1, 3, 1, 15, 15, 43, 13, 45, 217, 519, 363, 3265, 6213, 13045, 3709, 22119, 79733, 224195}},
-{17874, 18, 75012, {1, 3, 1, 15, 15, 59, 95, 71, 171, 769, 1395, 2673, 4523, 749, 13411, 60431, 124651, 11475}},
-{17875, 18, 75030, {1, 1, 7, 3, 1, 35, 13, 239, 101, 355, 1201, 3665, 5403, 11413, 11983, 52469, 63621, 155819}},
-{17876, 18, 75033, {1, 1, 1, 7, 31, 59, 87, 25, 511, 483, 569, 3337, 4027, 8347, 3031, 24351, 57963, 79425}},
-{17877, 18, 75039, {1, 3, 1, 3, 11, 17, 29, 249, 61, 923, 585, 2107, 2727, 8589, 22809, 3, 17937, 163267}},
-{17878, 18, 75055, {1, 3, 5, 11, 27, 3, 73, 187, 19, 975, 257, 2361, 935, 9071, 29991, 13619, 92169, 101031}},
-{17879, 18, 75078, {1, 1, 5, 13, 17, 53, 105, 157, 343, 673, 237, 3231, 7311, 1593, 18521, 57889, 79805, 97847}},
-{17880, 18, 75120, {1, 3, 1, 3, 31, 55, 63, 167, 489, 167, 121, 3333, 2475, 1545, 13291, 921, 101757, 62147}},
-{17881, 18, 75130, {1, 3, 3, 15, 13, 17, 9, 209, 339, 567, 2011, 1737, 1455, 9289, 6105, 49733, 74237, 93195}},
-{17882, 18, 75159, {1, 1, 7, 11, 3, 13, 77, 115, 305, 327, 1005, 3381, 4269, 4835, 27221, 16301, 75173, 244603}},
-{17883, 18, 75163, {1, 3, 5, 7, 7, 31, 47, 75, 499, 41, 281, 167, 3525, 8649, 23623, 4987, 2057, 204083}},
-{17884, 18, 75170, {1, 3, 3, 5, 9, 5, 35, 53, 269, 437, 1035, 1675, 4567, 13291, 19787, 28937, 108915, 62545}},
-{17885, 18, 75193, {1, 3, 1, 5, 15, 59, 57, 181, 321, 1, 791, 2149, 591, 6691, 8759, 62861, 10815, 257331}},
-{17886, 18, 75228, {1, 1, 7, 1, 21, 25, 93, 39, 429, 455, 669, 1725, 7087, 11805, 22405, 13083, 88411, 225967}},
-{17887, 18, 75244, {1, 1, 5, 15, 5, 45, 15, 1, 55, 281, 2027, 97, 2639, 57, 23717, 21669, 92181, 32731}},
-{17888, 18, 75249, {1, 3, 7, 3, 7, 3, 67, 201, 445, 577, 1011, 793, 7763, 10823, 30309, 41565, 37263, 218909}},
-{17889, 18, 75328, {1, 1, 7, 3, 17, 53, 51, 119, 399, 903, 1785, 1053, 4315, 2967, 17579, 64185, 55005, 12969}},
-{17890, 18, 75357, {1, 3, 3, 13, 21, 63, 13, 1, 427, 39, 71, 1811, 1237, 1623, 11401, 14371, 44355, 93089}},
-{17891, 18, 75373, {1, 1, 5, 1, 17, 39, 39, 105, 187, 691, 251, 3957, 931, 12149, 18299, 48819, 23061, 49179}},
-{17892, 18, 75392, {1, 1, 5, 11, 31, 3, 23, 211, 101, 763, 237, 3635, 417, 4935, 14997, 3859, 22343, 153541}},
-{17893, 18, 75428, {1, 3, 7, 5, 21, 37, 59, 137, 13, 179, 527, 895, 3451, 1743, 3149, 10665, 119427, 259343}},
-{17894, 18, 75438, {1, 3, 5, 3, 7, 37, 103, 173, 453, 327, 131, 2453, 7795, 12585, 13947, 59161, 41845, 29527}},
-{17895, 18, 75469, {1, 3, 3, 1, 17, 49, 57, 251, 295, 279, 1545, 3963, 589, 9211, 32371, 14963, 116927, 197321}},
-{17896, 18, 75487, {1, 1, 3, 7, 17, 59, 37, 115, 315, 591, 481, 767, 4611, 14741, 6949, 19507, 6567, 143371}},
-{17897, 18, 75494, {1, 1, 5, 3, 19, 53, 121, 229, 355, 909, 339, 1645, 2747, 7045, 9085, 5799, 50997, 17981}},
-{17898, 18, 75515, {1, 3, 3, 9, 3, 1, 109, 7, 15, 177, 789, 3911, 6427, 8453, 22583, 12039, 124587, 123887}},
-{17899, 18, 75526, {1, 1, 5, 1, 7, 23, 15, 193, 109, 685, 1147, 3921, 2329, 15153, 25045, 28389, 34759, 256611}},
-{17900, 18, 75532, {1, 1, 3, 3, 23, 27, 55, 43, 485, 541, 1617, 3761, 1051, 7525, 19941, 52699, 35421, 162939}},
-{17901, 18, 75543, {1, 3, 7, 1, 25, 9, 113, 251, 477, 1005, 9, 3321, 5817, 965, 18523, 29407, 53353, 205575}},
-{17902, 18, 75549, {1, 1, 7, 11, 9, 31, 111, 175, 227, 33, 1745, 1141, 1547, 2113, 8785, 40273, 100301, 190749}},
-{17903, 18, 75559, {1, 1, 5, 11, 19, 49, 45, 197, 457, 223, 91, 2769, 6331, 1161, 6609, 61905, 42257, 152117}},
-{17904, 18, 75563, {1, 1, 7, 11, 1, 17, 37, 153, 431, 933, 269, 1529, 1297, 15567, 149, 41701, 59867, 93631}},
-{17905, 18, 75568, {1, 1, 5, 9, 25, 33, 83, 127, 305, 667, 343, 185, 3527, 13079, 10567, 35753, 72191, 214091}},
-{17906, 18, 75598, {1, 3, 7, 1, 1, 7, 75, 241, 185, 81, 2043, 3081, 3563, 385, 3055, 59421, 27081, 32521}},
-{17907, 18, 75612, {1, 1, 3, 5, 31, 1, 101, 21, 69, 979, 917, 695, 5601, 12251, 15031, 18715, 116985, 53071}},
-{17908, 18, 75622, {1, 1, 3, 9, 23, 57, 91, 127, 327, 979, 721, 3855, 1131, 997, 32227, 33843, 128299, 15239}},
-{17909, 18, 75640, {1, 3, 7, 13, 23, 1, 87, 105, 259, 939, 1935, 1983, 6619, 1611, 31901, 14745, 96641, 211945}},
-{17910, 18, 75683, {1, 1, 3, 5, 25, 17, 39, 95, 137, 971, 377, 2493, 981, 329, 25845, 44513, 100561, 57985}},
-{17911, 18, 75689, {1, 1, 3, 9, 27, 37, 69, 103, 167, 131, 487, 2935, 7099, 15375, 4825, 12209, 117165, 84909}},
-{17912, 18, 75690, {1, 3, 1, 15, 27, 19, 115, 239, 247, 243, 83, 1535, 8095, 3953, 25721, 62983, 89045, 16783}},
-{17913, 18, 75692, {1, 1, 5, 1, 19, 13, 125, 39, 439, 411, 171, 155, 5117, 15137, 19851, 251, 37921, 97209}},
-{17914, 18, 75752, {1, 1, 1, 5, 13, 41, 17, 97, 215, 323, 1333, 775, 1155, 15269, 19943, 48489, 71741, 202501}},
-{17915, 18, 75766, {1, 3, 5, 3, 1, 31, 55, 125, 69, 437, 1649, 2791, 8027, 15509, 31575, 8491, 106953, 155215}},
-{17916, 18, 75769, {1, 3, 3, 13, 19, 45, 39, 63, 227, 67, 2021, 1243, 6525, 7211, 6275, 39719, 74513, 6713}},
-{17917, 18, 75791, {1, 1, 5, 11, 13, 45, 15, 101, 171, 613, 1561, 2939, 3849, 2917, 29765, 2027, 53617, 59939}},
-{17918, 18, 75794, {1, 1, 5, 9, 27, 21, 119, 19, 441, 759, 703, 2985, 3007, 2087, 5207, 64403, 20273, 66181}},
-{17919, 18, 75806, {1, 1, 7, 13, 21, 3, 49, 3, 485, 883, 1863, 1925, 877, 10009, 24191, 58639, 107755, 106539}},
-{17920, 18, 75809, {1, 1, 1, 5, 27, 37, 23, 185, 281, 533, 437, 555, 8151, 6489, 22343, 4573, 91577, 167919}},
-{17921, 18, 75819, {1, 1, 7, 15, 3, 61, 103, 221, 223, 703, 133, 2923, 1027, 14643, 26413, 16523, 107223, 97185}},
-{17922, 18, 75834, {1, 3, 1, 11, 13, 15, 1, 203, 363, 675, 511, 3225, 1163, 741, 16063, 8097, 95905, 148465}},
-{17923, 18, 75895, {1, 3, 1, 7, 11, 11, 11, 243, 371, 129, 209, 3533, 1279, 12181, 31973, 29165, 122089, 115117}},
-{17924, 18, 75908, {1, 3, 1, 5, 25, 17, 31, 45, 215, 809, 1443, 3245, 1005, 2903, 20783, 23041, 96577, 192063}},
-{17925, 18, 75951, {1, 3, 3, 3, 19, 17, 101, 219, 91, 805, 189, 761, 4771, 11629, 7285, 21631, 21691, 47421}},
-{17926, 18, 75960, {1, 3, 7, 1, 31, 11, 71, 149, 303, 793, 35, 3109, 2769, 11593, 31839, 2053, 4541, 202997}},
-{17927, 18, 75965, {1, 1, 1, 3, 11, 19, 113, 249, 141, 659, 1117, 2145, 2617, 1075, 25347, 12913, 27457, 222095}},
-{17928, 18, 75974, {1, 3, 1, 3, 5, 23, 41, 57, 193, 815, 1293, 1109, 7597, 999, 10773, 41065, 18555, 35617}},
-{17929, 18, 75978, {1, 1, 3, 1, 31, 11, 127, 99, 163, 293, 299, 3415, 3761, 8781, 5327, 47631, 56411, 242787}},
-{17930, 18, 75998, {1, 3, 7, 13, 3, 41, 23, 169, 419, 725, 1419, 2643, 5265, 77, 24077, 18639, 78665, 205303}},
-{17931, 18, 76001, {1, 1, 5, 1, 31, 39, 39, 205, 413, 393, 1713, 309, 707, 4153, 10461, 16053, 26963, 253993}},
-{17932, 18, 76007, {1, 3, 7, 5, 23, 37, 125, 87, 199, 631, 1935, 551, 7047, 4585, 21257, 42345, 39365, 249393}},
-{17933, 18, 76016, {1, 3, 5, 13, 17, 55, 29, 209, 151, 465, 155, 363, 3097, 4093, 9869, 23297, 33973, 115543}},
-{17934, 18, 76091, {1, 1, 1, 13, 23, 59, 83, 71, 145, 717, 127, 1299, 1701, 10885, 5343, 40793, 87819, 66621}},
-{17935, 18, 76119, {1, 3, 3, 9, 19, 37, 23, 11, 269, 603, 871, 851, 837, 15303, 7595, 56481, 57819, 185065}},
-{17936, 18, 76135, {1, 3, 1, 1, 3, 15, 11, 249, 413, 723, 1403, 3233, 2747, 10335, 7127, 63285, 29237, 191953}},
-{17937, 18, 76170, {1, 3, 1, 1, 11, 31, 67, 139, 51, 413, 521, 969, 171, 5943, 31613, 16477, 85771, 202139}},
-{17938, 18, 76189, {1, 3, 7, 5, 5, 21, 109, 25, 463, 873, 493, 2673, 6409, 11199, 17195, 40623, 76821, 72509}},
-{17939, 18, 76214, {1, 1, 7, 7, 11, 1, 95, 43, 243, 67, 1289, 3219, 2255, 4957, 17561, 40499, 48537, 108809}},
-{17940, 18, 76225, {1, 1, 7, 15, 3, 39, 45, 75, 43, 821, 533, 4043, 1503, 83, 26937, 56327, 114149, 156845}},
-{17941, 18, 76235, {1, 3, 1, 1, 31, 21, 59, 1, 77, 147, 137, 1827, 4123, 2791, 27859, 57921, 40569, 134753}},
-{17942, 18, 76259, {1, 1, 5, 13, 31, 41, 111, 11, 181, 963, 459, 2771, 6123, 4035, 1627, 2047, 109537, 33653}},
-{17943, 18, 76261, {1, 3, 5, 7, 31, 57, 17, 21, 5, 761, 1833, 1279, 1239, 10089, 22531, 32547, 82699, 28389}},
-{17944, 18, 76262, {1, 3, 5, 13, 11, 39, 11, 61, 299, 753, 1067, 1347, 5189, 12859, 681, 46309, 31873, 90333}},
-{17945, 18, 76266, {1, 3, 1, 5, 13, 27, 119, 205, 377, 457, 817, 3017, 279, 1859, 30241, 52089, 61445, 176203}},
-{17946, 18, 76286, {1, 1, 3, 5, 11, 35, 17, 163, 27, 1001, 417, 2899, 1959, 5513, 1441, 19743, 67147, 236591}},
-{17947, 18, 76289, {1, 3, 5, 13, 15, 39, 53, 179, 447, 675, 933, 1261, 4415, 9845, 28459, 33497, 107375, 156855}},
-{17948, 18, 76310, {1, 3, 3, 13, 27, 31, 11, 191, 413, 1011, 2035, 3965, 2071, 5429, 16247, 7439, 15079, 225041}},
-{17949, 18, 76319, {1, 3, 3, 11, 7, 23, 87, 215, 241, 687, 1351, 2399, 4677, 12967, 22957, 10443, 116701, 155477}},
-{17950, 18, 76364, {1, 3, 7, 5, 25, 55, 5, 197, 359, 879, 619, 1969, 1513, 12743, 10953, 28343, 63685, 39115}},
-{17951, 18, 76375, {1, 1, 3, 1, 19, 15, 63, 7, 305, 343, 1333, 3845, 377, 14031, 28383, 4271, 60063, 11827}},
-{17952, 18, 76392, {1, 3, 5, 15, 25, 21, 115, 101, 171, 735, 787, 3143, 593, 8793, 4121, 15471, 53491, 20617}},
-{17953, 18, 76422, {1, 1, 5, 15, 15, 51, 103, 17, 433, 611, 1351, 1729, 6147, 11623, 3, 6319, 6133, 19029}},
-{17954, 18, 76450, {1, 3, 1, 13, 29, 15, 115, 97, 505, 985, 745, 745, 1459, 7193, 1247, 58901, 114255, 212849}},
-{17955, 18, 76496, {1, 1, 7, 1, 1, 53, 99, 35, 377, 723, 1751, 2625, 5113, 13295, 20133, 26831, 41657, 51717}},
-{17956, 18, 76521, {1, 3, 5, 15, 15, 39, 17, 227, 351, 435, 49, 203, 6959, 11673, 15755, 29733, 51445, 64619}},
-{17957, 18, 76522, {1, 1, 1, 3, 25, 51, 57, 137, 415, 49, 355, 2149, 7607, 10781, 30363, 43889, 55543, 36637}},
-{17958, 18, 76527, {1, 1, 7, 5, 5, 15, 73, 189, 153, 949, 527, 587, 513, 12891, 16765, 41477, 75569, 80747}},
-{17959, 18, 76536, {1, 1, 5, 5, 9, 5, 3, 225, 115, 125, 821, 3551, 4833, 927, 24331, 63669, 26549, 220159}},
-{17960, 18, 76541, {1, 1, 3, 9, 21, 7, 9, 183, 391, 783, 493, 2785, 3879, 8311, 9935, 60629, 119329, 5791}},
-{17961, 18, 76553, {1, 1, 5, 15, 15, 41, 61, 97, 33, 29, 199, 3335, 1531, 6107, 757, 33797, 3001, 224507}},
-{17962, 18, 76568, {1, 1, 3, 9, 13, 39, 25, 247, 407, 1, 1129, 1453, 7091, 5557, 8657, 33961, 100763, 25099}},
-{17963, 18, 76574, {1, 3, 3, 13, 31, 21, 69, 73, 431, 827, 861, 235, 2369, 4283, 27183, 29095, 99957, 97577}},
-{17964, 18, 76584, {1, 1, 7, 13, 1, 25, 21, 173, 365, 921, 21, 3527, 2481, 8795, 25621, 41755, 127249, 221385}},
-{17965, 18, 76604, {1, 1, 1, 5, 25, 25, 65, 203, 305, 373, 527, 4033, 3483, 9403, 28669, 32083, 52273, 77037}},
-{17966, 18, 76607, {1, 3, 1, 15, 9, 23, 19, 7, 29, 83, 1163, 1147, 5315, 2381, 21203, 33915, 109511, 40669}},
-{17967, 18, 76609, {1, 3, 7, 15, 23, 19, 69, 127, 113, 937, 935, 1067, 2431, 7677, 21327, 44095, 82799, 5715}},
-{17968, 18, 76669, {1, 1, 5, 5, 7, 37, 107, 223, 433, 515, 393, 1721, 1977, 6383, 18835, 54841, 103263, 196997}},
-{17969, 18, 76683, {1, 1, 1, 3, 1, 11, 85, 173, 259, 685, 595, 1635, 6979, 4483, 8097, 42249, 56259, 105925}},
-{17970, 18, 76745, {1, 1, 7, 7, 1, 23, 11, 253, 187, 665, 313, 3745, 2423, 15835, 32085, 48643, 75625, 47511}},
-{17971, 18, 76753, {1, 1, 3, 5, 1, 59, 127, 83, 501, 387, 977, 3515, 7921, 12329, 14757, 20287, 49699, 91237}},
-{17972, 18, 76754, {1, 3, 5, 11, 31, 45, 51, 109, 319, 621, 1013, 3519, 4023, 12099, 28829, 26691, 83131, 261497}},
-{17973, 18, 76756, {1, 1, 3, 3, 5, 35, 51, 253, 253, 569, 1017, 2299, 8159, 13783, 22123, 55213, 111527, 110699}},
-{17974, 18, 76760, {1, 3, 7, 3, 9, 5, 59, 129, 41, 845, 723, 1607, 3047, 14323, 19277, 39447, 12465, 45925}},
-{17975, 18, 76782, {1, 1, 3, 1, 17, 35, 51, 79, 115, 361, 739, 2037, 6167, 14699, 28187, 65271, 67285, 48489}},
-{17976, 18, 76821, {1, 3, 1, 11, 1, 29, 95, 181, 419, 235, 745, 621, 3889, 2933, 743, 23801, 32057, 54103}},
-{17977, 18, 76828, {1, 3, 1, 11, 17, 47, 43, 55, 7, 695, 1653, 3983, 961, 3037, 8669, 10039, 86571, 6981}},
-{17978, 18, 76849, {1, 1, 5, 15, 13, 19, 67, 141, 291, 511, 1913, 397, 7423, 6541, 21845, 49821, 126047, 218587}},
-{17979, 18, 76850, {1, 1, 5, 3, 11, 13, 103, 213, 189, 115, 1495, 2695, 2127, 11979, 13609, 46615, 64775, 206417}},
-{17980, 18, 76870, {1, 3, 1, 5, 5, 9, 57, 207, 253, 251, 1155, 1319, 6699, 6613, 21757, 49703, 124879, 89987}},
-{17981, 18, 76874, {1, 3, 5, 7, 23, 25, 35, 81, 165, 789, 771, 415, 5557, 8431, 12043, 44359, 9447, 229481}},
-{17982, 18, 76898, {1, 1, 1, 13, 17, 21, 63, 251, 387, 767, 85, 3901, 3227, 10329, 5049, 56173, 58065, 78595}},
-{17983, 18, 76903, {1, 3, 1, 15, 23, 5, 45, 7, 123, 389, 1041, 1223, 5865, 5365, 2915, 24861, 106893, 170769}},
-{17984, 18, 76910, {1, 3, 7, 15, 27, 61, 27, 59, 309, 103, 279, 1829, 1501, 11277, 4461, 34817, 60973, 99805}},
-{17985, 18, 76921, {1, 1, 3, 9, 1, 25, 57, 85, 411, 699, 911, 1643, 2687, 13539, 10187, 21597, 18883, 212975}},
-{17986, 18, 76968, {1, 1, 3, 7, 5, 7, 81, 209, 225, 321, 1867, 2189, 6315, 5393, 8859, 47471, 41677, 222455}},
-{17987, 18, 77013, {1, 1, 5, 11, 27, 33, 119, 159, 273, 659, 883, 3773, 6519, 15449, 17219, 23923, 33749, 225489}},
-{17988, 18, 77027, {1, 1, 7, 13, 29, 39, 1, 161, 165, 531, 1019, 2369, 2093, 4341, 24945, 28537, 49467, 258065}},
-{17989, 18, 77042, {1, 3, 3, 3, 15, 59, 23, 143, 377, 943, 1329, 977, 7025, 2167, 17973, 65087, 115757, 75959}},
-{17990, 18, 77059, {1, 1, 1, 15, 17, 55, 33, 167, 43, 719, 51, 3873, 3317, 10763, 639, 58195, 20023, 100725}},
-{17991, 18, 77062, {1, 1, 7, 5, 17, 23, 71, 249, 23, 929, 467, 3073, 3355, 1343, 18755, 12247, 49737, 184103}},
-{17992, 18, 77074, {1, 3, 3, 15, 1, 9, 17, 193, 157, 265, 983, 1825, 4805, 2131, 22117, 32937, 57, 261867}},
-{17993, 18, 77076, {1, 3, 5, 9, 5, 1, 101, 141, 511, 489, 73, 1789, 1303, 2633, 709, 11891, 44897, 191229}},
-{17994, 18, 77110, {1, 1, 7, 15, 1, 27, 121, 7, 129, 421, 725, 1421, 3883, 13335, 7247, 8393, 85029, 127691}},
-{17995, 18, 77113, {1, 1, 3, 9, 19, 53, 121, 115, 85, 909, 1535, 3261, 7063, 16381, 1719, 19847, 19041, 215433}},
-{17996, 18, 77131, {1, 1, 7, 3, 17, 45, 91, 187, 181, 829, 609, 931, 5727, 3971, 14567, 15871, 9825, 184165}},
-{17997, 18, 77157, {1, 1, 1, 3, 5, 29, 7, 249, 361, 815, 1101, 1485, 6879, 5379, 7179, 27467, 101427, 196089}},
-{17998, 18, 77158, {1, 1, 5, 7, 23, 11, 27, 175, 237, 747, 1911, 3107, 961, 6649, 29887, 11003, 27561, 233841}},
-{17999, 18, 77216, {1, 1, 1, 5, 11, 5, 125, 227, 303, 315, 1879, 817, 7445, 1447, 9333, 54825, 118865, 216397}},
-{18000, 18, 77246, {1, 1, 3, 13, 17, 33, 27, 95, 245, 25, 1741, 2633, 1869, 14111, 24507, 61287, 46397, 220803}},
-{18001, 18, 77258, {1, 1, 7, 7, 25, 5, 41, 101, 171, 333, 497, 3417, 4921, 4553, 25487, 51529, 72873, 43525}},
-{18002, 18, 77281, {1, 1, 7, 7, 9, 19, 25, 161, 235, 929, 1663, 3237, 323, 3889, 31423, 2345, 63113, 212659}},
-{18003, 18, 77284, {1, 1, 5, 13, 29, 59, 39, 25, 393, 519, 429, 1461, 5867, 113, 28091, 36813, 47827, 163407}},
-{18004, 18, 77294, {1, 3, 5, 13, 15, 49, 85, 161, 83, 389, 765, 3349, 4659, 11007, 24749, 51121, 93511, 229885}},
-{18005, 18, 77302, {1, 3, 5, 11, 5, 27, 107, 233, 221, 425, 941, 1181, 5403, 4373, 32625, 41991, 2019, 245967}},
-{18006, 18, 77306, {1, 3, 5, 9, 9, 53, 97, 27, 221, 731, 1301, 3517, 4407, 11369, 4251, 31121, 4813, 42029}},
-{18007, 18, 77315, {1, 1, 1, 9, 17, 59, 107, 247, 231, 123, 1177, 3299, 6163, 4855, 14547, 63171, 45201, 27711}},
-{18008, 18, 77352, {1, 3, 7, 3, 25, 31, 63, 37, 123, 457, 1531, 3723, 4807, 14665, 17973, 42547, 5417, 170323}},
-{18009, 18, 77360, {1, 3, 7, 3, 17, 19, 57, 7, 359, 741, 385, 3127, 855, 10803, 30093, 24501, 53629, 40447}},
-{18010, 18, 77365, {1, 3, 7, 15, 11, 45, 49, 125, 445, 795, 113, 2425, 7085, 7337, 16297, 26447, 94369, 12371}},
-{18011, 18, 77370, {1, 3, 7, 9, 29, 59, 35, 191, 123, 619, 415, 1081, 2469, 4125, 25587, 7853, 119781, 9447}},
-{18012, 18, 77378, {1, 3, 1, 15, 13, 13, 111, 89, 381, 757, 389, 253, 6929, 33, 8263, 17385, 122129, 146679}},
-{18013, 18, 77380, {1, 1, 3, 3, 15, 35, 101, 95, 479, 577, 1645, 3781, 7533, 4665, 6561, 49897, 72413, 151383}},
-{18014, 18, 77407, {1, 1, 1, 1, 7, 49, 23, 223, 189, 763, 227, 2805, 8093, 389, 11525, 30915, 91341, 210231}},
-{18015, 18, 77408, {1, 1, 7, 3, 19, 23, 3, 137, 79, 569, 1833, 2091, 4235, 10739, 22855, 33845, 120141, 220267}},
-{18016, 18, 77414, {1, 3, 7, 3, 11, 43, 85, 63, 419, 681, 365, 3017, 3603, 6413, 13515, 16003, 107949, 241261}},
-{18017, 18, 77444, {1, 1, 5, 13, 3, 35, 41, 193, 189, 999, 1395, 2431, 2227, 7245, 23929, 16137, 14591, 54999}},
-{18018, 18, 77454, {1, 1, 7, 15, 23, 51, 47, 77, 31, 25, 589, 611, 371, 13329, 5873, 2133, 40351, 145293}},
-{18019, 18, 77481, {1, 1, 7, 15, 17, 19, 53, 155, 309, 573, 1059, 3557, 2445, 12205, 4497, 32061, 130293, 73859}},
-{18020, 18, 77482, {1, 1, 7, 13, 3, 25, 71, 157, 237, 185, 1035, 1759, 1331, 13533, 25635, 811, 54391, 91109}},
-{18021, 18, 77531, {1, 1, 1, 11, 5, 21, 99, 31, 259, 413, 2033, 2187, 755, 4591, 28641, 64031, 88499, 160789}},
-{18022, 18, 77544, {1, 3, 7, 13, 29, 33, 13, 157, 97, 981, 329, 81, 6351, 4171, 10925, 22733, 72521, 105477}},
-{18023, 18, 77552, {1, 3, 7, 9, 11, 31, 97, 35, 337, 309, 847, 3429, 2697, 3141, 19481, 43679, 11129, 205757}},
-{18024, 18, 77569, {1, 3, 1, 7, 27, 45, 123, 193, 439, 639, 633, 1375, 7307, 1599, 23379, 56811, 100877, 228687}},
-{18025, 18, 77579, {1, 3, 7, 1, 29, 43, 103, 131, 103, 933, 143, 2431, 2221, 4565, 20841, 58611, 49163, 13673}},
-{18026, 18, 77610, {1, 3, 5, 13, 25, 17, 121, 17, 455, 941, 1577, 509, 5401, 797, 29573, 38373, 50527, 17951}},
-{18027, 18, 77612, {1, 1, 1, 13, 25, 21, 77, 253, 199, 871, 935, 3919, 1687, 6653, 20345, 56969, 77989, 244767}},
-{18028, 18, 77623, {1, 1, 3, 1, 17, 5, 5, 191, 279, 33, 579, 651, 969, 6091, 11659, 1643, 17935, 85145}},
-{18029, 18, 77649, {1, 3, 3, 9, 29, 1, 103, 39, 83, 295, 1237, 207, 4837, 7899, 27879, 23195, 29549, 206885}},
-{18030, 18, 77650, {1, 3, 5, 1, 9, 55, 115, 37, 225, 447, 943, 1133, 6203, 949, 9973, 4309, 43969, 166795}},
-{18031, 18, 77661, {1, 1, 7, 7, 17, 43, 75, 251, 35, 489, 1011, 355, 4113, 2377, 13775, 34935, 84905, 252973}},
-{18032, 18, 77675, {1, 3, 3, 3, 11, 45, 3, 1, 135, 499, 81, 3265, 6657, 3875, 27565, 60931, 13117, 87931}},
-{18033, 18, 77686, {1, 1, 3, 1, 9, 1, 77, 69, 137, 241, 1613, 2607, 3307, 171, 13551, 54529, 45937, 180411}},
-{18034, 18, 77742, {1, 1, 1, 1, 19, 29, 77, 255, 95, 461, 567, 1103, 2753, 10627, 19479, 43411, 128565, 29869}},
-{18035, 18, 77791, {1, 1, 3, 5, 5, 63, 123, 159, 165, 733, 1107, 1711, 5039, 9221, 15541, 5527, 27629, 206505}},
-{18036, 18, 77792, {1, 3, 1, 3, 7, 45, 73, 63, 413, 693, 433, 2281, 3981, 7719, 31473, 56939, 70391, 67467}},
-{18037, 18, 77807, {1, 1, 1, 11, 19, 33, 113, 151, 427, 603, 1653, 2451, 5367, 12171, 14373, 33175, 62013, 209273}},
-{18038, 18, 77815, {1, 3, 5, 5, 17, 37, 109, 5, 187, 293, 617, 2663, 7381, 14217, 23561, 48999, 108717, 248289}},
-{18039, 18, 77842, {1, 1, 5, 1, 9, 27, 35, 127, 355, 479, 281, 2081, 7303, 259, 8893, 59141, 20927, 61611}},
-{18040, 18, 77847, {1, 3, 3, 15, 31, 33, 71, 209, 315, 363, 593, 1035, 8029, 12501, 2859, 54745, 39391, 153259}},
-{18041, 18, 77899, {1, 3, 3, 11, 21, 39, 35, 173, 171, 15, 987, 3737, 7415, 1827, 973, 6831, 108643, 241333}},
-{18042, 18, 77901, {1, 3, 7, 9, 17, 37, 127, 243, 153, 195, 113, 309, 5301, 13619, 7927, 35385, 9501, 99241}},
-{18043, 18, 77904, {1, 3, 5, 13, 23, 9, 81, 235, 139, 635, 443, 2235, 2613, 2389, 18431, 8409, 2885, 254811}},
-{18044, 18, 77914, {1, 3, 7, 9, 1, 5, 15, 109, 141, 173, 1059, 1961, 7945, 10381, 17337, 19591, 42173, 119831}},
-{18045, 18, 77925, {1, 3, 1, 13, 19, 7, 111, 111, 345, 327, 1147, 2293, 49, 16213, 25309, 60537, 50421, 108467}},
-{18046, 18, 77950, {1, 1, 5, 1, 3, 23, 63, 219, 69, 879, 1397, 3857, 1859, 1939, 4851, 26549, 86019, 7927}},
-{18047, 18, 77959, {1, 3, 1, 13, 23, 61, 25, 31, 301, 189, 1031, 2817, 829, 8777, 26869, 54405, 43535, 234687}},
-{18048, 18, 77994, {1, 1, 1, 9, 11, 31, 13, 139, 77, 567, 949, 3415, 6955, 14973, 9565, 37911, 18395, 94167}},
-{18049, 18, 78004, {1, 3, 5, 13, 17, 17, 21, 213, 171, 993, 1001, 979, 5085, 3909, 11797, 48669, 73541, 48979}},
-{18050, 18, 78043, {1, 1, 7, 9, 7, 37, 35, 107, 347, 239, 585, 2883, 3235, 1053, 14871, 25799, 4861, 56335}},
-{18051, 18, 78052, {1, 1, 3, 5, 19, 7, 91, 139, 325, 921, 863, 209, 845, 15943, 8281, 55103, 110193, 216091}},
-{18052, 18, 78061, {1, 3, 1, 13, 31, 33, 65, 155, 177, 103, 1991, 343, 6299, 3587, 30215, 64335, 114301, 220403}},
-{18053, 18, 78064, {1, 3, 5, 3, 31, 37, 121, 157, 443, 349, 1097, 3683, 503, 14061, 14685, 29755, 61543, 232983}},
-{18054, 18, 78084, {1, 3, 3, 11, 17, 59, 29, 161, 381, 791, 1647, 1077, 6369, 1095, 17279, 43141, 65003, 144609}},
-{18055, 18, 78094, {1, 1, 5, 1, 1, 15, 67, 77, 3, 585, 1909, 1485, 3003, 591, 4711, 10279, 75901, 226417}},
-{18056, 18, 78099, {1, 3, 7, 5, 1, 5, 5, 193, 469, 631, 1065, 607, 2751, 8163, 13633, 40563, 1417, 118169}},
-{18057, 18, 78129, {1, 1, 7, 9, 25, 25, 109, 27, 157, 495, 225, 1385, 4315, 995, 10591, 1629, 129939, 56765}},
-{18058, 18, 78142, {1, 3, 1, 7, 9, 23, 61, 63, 35, 145, 1537, 1029, 4225, 1467, 10519, 32861, 519, 53983}},
-{18059, 18, 78149, {1, 3, 3, 11, 7, 59, 25, 199, 403, 967, 1089, 1121, 1063, 6701, 16827, 55479, 72983, 36873}},
-{18060, 18, 78153, {1, 1, 1, 13, 9, 27, 19, 23, 395, 229, 1837, 1231, 1737, 10475, 16743, 42369, 130331, 47255}},
-{18061, 18, 78171, {1, 1, 5, 7, 29, 15, 95, 155, 339, 65, 751, 2399, 5615, 2987, 16769, 57381, 113021, 41417}},
-{18062, 18, 78173, {1, 3, 1, 9, 15, 17, 1, 111, 197, 7, 417, 3999, 7261, 5939, 16773, 29275, 105559, 84685}},
-{18063, 18, 78174, {1, 3, 3, 13, 19, 31, 103, 1, 37, 269, 1257, 1397, 4293, 3019, 6503, 7727, 93943, 237313}},
-{18064, 18, 78195, {1, 1, 3, 9, 13, 37, 67, 129, 43, 669, 1331, 1787, 8185, 323, 18749, 13737, 86123, 154131}},
-{18065, 18, 78201, {1, 3, 1, 11, 3, 51, 13, 35, 197, 867, 559, 1381, 1057, 13293, 20603, 18633, 50503, 169685}},
-{18066, 18, 78202, {1, 3, 1, 11, 9, 35, 7, 51, 499, 885, 353, 4095, 6491, 5917, 15053, 18363, 99593, 213089}},
-{18067, 18, 78241, {1, 1, 3, 9, 19, 23, 107, 147, 339, 331, 1349, 2855, 3721, 13317, 26457, 783, 93949, 196051}},
-{18068, 18, 78247, {1, 1, 5, 1, 9, 61, 89, 217, 315, 385, 1729, 2641, 5753, 6269, 547, 33737, 20103, 31533}},
-{18069, 18, 78274, {1, 3, 5, 13, 13, 61, 3, 191, 57, 683, 1227, 1255, 3651, 10687, 9049, 6529, 60783, 28639}},
-{18070, 18, 78276, {1, 1, 7, 11, 25, 41, 79, 19, 383, 363, 1731, 1597, 1651, 15037, 22191, 51883, 41927, 82419}},
-{18071, 18, 78303, {1, 3, 5, 9, 15, 61, 39, 149, 49, 633, 709, 1743, 621, 14659, 3309, 64129, 91897, 74235}},
-{18072, 18, 78307, {1, 3, 7, 15, 5, 59, 7, 197, 111, 885, 1737, 855, 2807, 3817, 13759, 29989, 45105, 171689}},
-{18073, 18, 78328, {1, 1, 3, 9, 21, 25, 55, 67, 483, 437, 303, 703, 6993, 1971, 4565, 56117, 6105, 254517}},
-{18074, 18, 78344, {1, 3, 3, 13, 15, 13, 19, 3, 487, 751, 1185, 2985, 1619, 7139, 26087, 21105, 9049, 236153}},
-{18075, 18, 78362, {1, 1, 5, 7, 15, 55, 51, 231, 85, 953, 713, 659, 2021, 4271, 15961, 26873, 31141, 76635}},
-{18076, 18, 78367, {1, 3, 5, 1, 11, 39, 3, 223, 367, 903, 799, 415, 7247, 9539, 14479, 37195, 59951, 181935}},
-{18077, 18, 78368, {1, 1, 5, 3, 13, 47, 17, 159, 439, 859, 1067, 3111, 5277, 13973, 21999, 28381, 115685, 231483}},
-{18078, 18, 78409, {1, 1, 7, 15, 17, 21, 69, 131, 193, 479, 1075, 3271, 2057, 1295, 31235, 35027, 94145, 65419}},
-{18079, 18, 78412, {1, 3, 3, 5, 5, 21, 5, 81, 113, 259, 837, 831, 5985, 6717, 12041, 40355, 50957, 111185}},
-{18080, 18, 78417, {1, 1, 1, 9, 15, 47, 103, 195, 465, 739, 1415, 225, 3121, 12623, 7539, 17555, 36703, 217641}},
-{18081, 18, 78430, {1, 3, 1, 3, 31, 17, 91, 153, 221, 217, 525, 981, 281, 9869, 9713, 10669, 12049, 97615}},
-{18082, 18, 78433, {1, 1, 5, 7, 29, 1, 1, 199, 415, 843, 301, 941, 4589, 13301, 5833, 41311, 74019, 78537}},
-{18083, 18, 78440, {1, 1, 5, 11, 13, 5, 41, 127, 213, 917, 1297, 2281, 3193, 3877, 9517, 40685, 14657, 185139}},
-{18084, 18, 78451, {1, 1, 1, 7, 21, 45, 87, 33, 425, 487, 643, 271, 7087, 5979, 14795, 27575, 34541, 173251}},
-{18085, 18, 78453, {1, 3, 7, 5, 21, 11, 7, 169, 325, 905, 973, 2853, 7929, 8801, 1005, 60641, 45973, 81859}},
-{18086, 18, 78458, {1, 3, 3, 1, 1, 35, 39, 81, 93, 463, 697, 2309, 7769, 5169, 17595, 41447, 28837, 52613}},
-{18087, 18, 78467, {1, 1, 7, 1, 1, 23, 37, 17, 137, 873, 1657, 681, 503, 7887, 24463, 32453, 112727, 133347}},
-{18088, 18, 78479, {1, 1, 5, 9, 19, 35, 37, 85, 11, 245, 11, 3, 6475, 5953, 247, 49447, 32813, 243841}},
-{18089, 18, 78507, {1, 3, 5, 3, 19, 53, 37, 45, 431, 259, 1831, 1443, 2237, 7651, 20701, 22857, 50041, 119667}},
-{18090, 18, 78518, {1, 1, 7, 1, 5, 37, 113, 69, 389, 369, 1251, 1989, 7613, 10669, 4233, 33379, 72465, 256861}},
-{18091, 18, 78535, {1, 1, 7, 5, 27, 55, 17, 75, 373, 325, 1981, 1743, 7341, 319, 28169, 3587, 66057, 169723}},
-{18092, 18, 78542, {1, 3, 3, 15, 27, 31, 47, 91, 367, 245, 2045, 979, 2169, 10935, 29523, 64871, 119447, 92131}},
-{18093, 18, 78549, {1, 3, 7, 15, 9, 11, 93, 61, 249, 107, 1883, 2547, 375, 4195, 6451, 14533, 62529, 93557}},
-{18094, 18, 78554, {1, 1, 1, 3, 29, 61, 65, 155, 301, 1017, 131, 1567, 3649, 3447, 27943, 52111, 9133, 88147}},
-{18095, 18, 78556, {1, 1, 1, 1, 21, 59, 107, 151, 265, 707, 767, 2325, 8095, 14027, 15355, 15465, 83143, 116199}},
-{18096, 18, 78583, {1, 3, 1, 15, 23, 51, 31, 25, 439, 357, 1563, 1091, 2135, 1327, 18427, 60965, 29215, 157351}},
-{18097, 18, 78590, {1, 3, 3, 13, 29, 37, 25, 215, 149, 487, 703, 1787, 3641, 8301, 8795, 13845, 95245, 169793}},
-{18098, 18, 78615, {1, 3, 3, 11, 27, 3, 49, 87, 69, 687, 1181, 3405, 589, 12901, 14199, 48607, 74027, 181379}},
-{18099, 18, 78635, {1, 3, 5, 13, 9, 15, 33, 229, 135, 769, 1005, 2435, 4831, 5493, 16745, 64379, 20253, 52661}},
-{18100, 18, 78649, {1, 1, 1, 13, 9, 61, 33, 127, 339, 15, 945, 219, 4291, 6995, 29127, 61853, 40741, 170541}},
-{18101, 18, 78684, {1, 3, 3, 15, 9, 33, 75, 39, 327, 133, 733, 1125, 2747, 15031, 24575, 65013, 41997, 158679}},
-{18102, 18, 78691, {1, 1, 3, 9, 3, 9, 63, 83, 493, 175, 249, 1977, 8177, 4067, 2131, 12467, 86185, 73417}},
-{18103, 18, 78705, {1, 1, 3, 13, 29, 55, 91, 109, 73, 913, 1343, 2147, 105, 8763, 7613, 55749, 4339, 61253}},
-{18104, 18, 78724, {1, 1, 5, 5, 17, 19, 45, 57, 345, 835, 341, 1365, 5187, 7485, 22685, 32321, 67279, 141119}},
-{18105, 18, 78755, {1, 1, 3, 11, 9, 47, 11, 231, 241, 681, 255, 3663, 5547, 997, 2445, 64413, 55349, 61785}},
-{18106, 18, 78770, {1, 3, 5, 5, 23, 29, 23, 249, 149, 1011, 173, 271, 485, 1239, 81, 59277, 96669, 210859}},
-{18107, 18, 78772, {1, 3, 3, 1, 17, 9, 41, 39, 309, 131, 1431, 1497, 1669, 14191, 22795, 48951, 101731, 70847}},
-{18108, 18, 78818, {1, 1, 3, 15, 1, 11, 37, 79, 23, 1023, 585, 127, 7817, 15009, 3897, 44601, 83039, 240457}},
-{18109, 18, 78837, {1, 3, 5, 9, 21, 33, 55, 31, 193, 745, 1741, 3637, 7265, 8969, 11797, 33239, 29123, 126077}},
-{18110, 18, 78844, {1, 3, 3, 13, 31, 5, 87, 215, 271, 573, 1423, 2611, 947, 14669, 23785, 60579, 127099, 55877}},
-{18111, 18, 78849, {1, 3, 1, 13, 5, 53, 103, 85, 237, 457, 739, 1201, 133, 8589, 13471, 6707, 42257, 141989}},
-{18112, 18, 78909, {1, 1, 1, 5, 23, 3, 65, 159, 445, 823, 341, 1723, 6263, 9421, 16023, 19145, 52337, 229397}},
-{18113, 18, 78915, {1, 3, 5, 3, 15, 3, 15, 251, 407, 137, 951, 1319, 1035, 7713, 29579, 19591, 77841, 84949}},
-{18114, 18, 78941, {1, 1, 7, 15, 19, 25, 63, 141, 511, 11, 1027, 1209, 6627, 8127, 14879, 12965, 109973, 144501}},
-{18115, 18, 78958, {1, 1, 1, 3, 11, 57, 65, 169, 453, 197, 1249, 2933, 3743, 1971, 19373, 32109, 73265, 46185}},
-{18116, 18, 78975, {1, 1, 3, 1, 3, 1, 21, 47, 471, 565, 1795, 1771, 3187, 7189, 18627, 22993, 112319, 158693}},
-{18117, 18, 78979, {1, 1, 5, 7, 5, 25, 127, 113, 31, 609, 1273, 2799, 5713, 16091, 22239, 43617, 126003, 218991}},
-{18118, 18, 78986, {1, 3, 3, 7, 19, 59, 19, 185, 483, 431, 335, 565, 819, 2555, 18653, 36573, 50085, 31007}},
-{18119, 18, 79029, {1, 1, 3, 13, 17, 61, 5, 219, 297, 755, 2005, 391, 4927, 1517, 11341, 9527, 51739, 182599}},
-{18120, 18, 79030, {1, 3, 7, 9, 9, 3, 39, 211, 475, 717, 189, 819, 529, 469, 28559, 7321, 60213, 79505}},
-{18121, 18, 79044, {1, 3, 1, 9, 17, 39, 53, 65, 247, 145, 9, 1669, 7221, 8359, 11021, 29775, 24693, 208655}},
-{18122, 18, 79048, {1, 1, 5, 13, 7, 7, 31, 135, 375, 439, 1419, 3579, 4313, 14057, 31505, 55249, 5345, 69537}},
-{18123, 18, 79056, {1, 3, 5, 9, 21, 3, 125, 223, 9, 73, 1693, 281, 3941, 10377, 29365, 19807, 73973, 169113}},
-{18124, 18, 79095, {1, 3, 7, 15, 29, 41, 119, 75, 241, 79, 1969, 1091, 6241, 10685, 11579, 3791, 124443, 5051}},
-{18125, 18, 79099, {1, 3, 7, 15, 23, 53, 13, 255, 205, 547, 255, 1589, 7261, 15735, 14521, 29679, 109373, 236433}},
-{18126, 18, 79121, {1, 3, 7, 3, 17, 37, 71, 163, 95, 265, 1, 3239, 1779, 9047, 31387, 32291, 86741, 55317}},
-{18127, 18, 79150, {1, 3, 1, 9, 31, 55, 117, 247, 317, 673, 749, 1155, 7743, 6427, 25273, 49701, 62345, 20913}},
-{18128, 18, 79196, {1, 3, 3, 7, 27, 55, 35, 111, 69, 799, 213, 3011, 4359, 14763, 7387, 13281, 58397, 38415}},
-{18129, 18, 79199, {1, 1, 5, 9, 5, 61, 49, 219, 419, 297, 1019, 2181, 6069, 12957, 24637, 23317, 6389, 240893}},
-{18130, 18, 79220, {1, 1, 5, 15, 13, 57, 59, 43, 373, 647, 1407, 3955, 5583, 15229, 20935, 38007, 65971, 95987}},
-{18131, 18, 79229, {1, 1, 7, 7, 23, 17, 77, 91, 449, 75, 1059, 3337, 2041, 261, 25077, 28161, 44537, 189443}},
-{18132, 18, 79263, {1, 1, 7, 11, 9, 7, 117, 225, 457, 941, 161, 1825, 1101, 193, 32619, 37245, 102633, 86707}},
-{18133, 18, 79264, {1, 1, 1, 7, 13, 43, 33, 137, 275, 691, 1387, 1265, 759, 1457, 4877, 41813, 4159, 234397}},
-{18134, 18, 79296, {1, 3, 3, 1, 9, 23, 71, 39, 205, 175, 953, 2965, 3283, 6025, 5905, 34691, 120987, 71841}},
-{18135, 18, 79302, {1, 3, 1, 13, 31, 63, 49, 73, 299, 169, 1265, 2205, 1299, 10045, 6919, 26067, 56909, 42549}},
-{18136, 18, 79354, {1, 3, 3, 1, 31, 41, 75, 219, 457, 407, 5, 1901, 6823, 531, 3155, 64375, 38523, 68217}},
-{18137, 18, 79387, {1, 1, 7, 9, 7, 35, 123, 193, 145, 1021, 757, 3775, 2313, 11885, 11649, 61071, 129363, 120467}},
-{18138, 18, 79399, {1, 3, 7, 3, 29, 21, 127, 93, 415, 641, 453, 923, 7713, 9569, 5961, 25969, 31095, 93317}},
-{18139, 18, 79435, {1, 3, 3, 1, 5, 15, 21, 235, 211, 663, 385, 2429, 319, 11571, 17539, 42975, 43179, 100105}},
-{18140, 18, 79525, {1, 3, 7, 7, 25, 57, 51, 215, 393, 167, 1569, 3235, 5555, 3391, 2389, 36485, 21919, 164479}},
-{18141, 18, 79540, {1, 3, 3, 3, 29, 21, 81, 59, 239, 671, 605, 583, 2341, 2321, 28593, 19035, 10209, 36433}},
-{18142, 18, 79552, {1, 3, 3, 11, 31, 33, 1, 147, 111, 523, 427, 3545, 111, 8009, 29101, 34549, 122745, 82117}},
-{18143, 18, 79562, {1, 3, 5, 15, 19, 37, 97, 141, 387, 523, 467, 1657, 4161, 5505, 18091, 39597, 124423, 74827}},
-{18144, 18, 79576, {1, 1, 1, 11, 21, 63, 61, 13, 169, 851, 1863, 3307, 7189, 10791, 22619, 24431, 127781, 14717}},
-{18145, 18, 79579, {1, 1, 3, 13, 27, 41, 69, 127, 497, 565, 1489, 277, 2551, 15409, 9885, 187, 101319, 194121}},
-{18146, 18, 79605, {1, 1, 7, 7, 17, 45, 1, 139, 347, 503, 1189, 1459, 6117, 14319, 22153, 2915, 91991, 246679}},
-{18147, 18, 79618, {1, 3, 3, 3, 9, 41, 25, 199, 327, 295, 945, 2765, 563, 11605, 24267, 37729, 80057, 169479}},
-{18148, 18, 79648, {1, 1, 7, 3, 23, 19, 13, 219, 235, 837, 1015, 2071, 2727, 3989, 32539, 26713, 112391, 163943}},
-{18149, 18, 79654, {1, 3, 3, 9, 21, 27, 17, 187, 315, 753, 817, 3053, 5961, 973, 23973, 37621, 105637, 247711}},
-{18150, 18, 79666, {1, 1, 7, 1, 11, 15, 45, 25, 421, 213, 663, 3829, 469, 15889, 28773, 14323, 107705, 111729}},
-{18151, 18, 79686, {1, 1, 1, 7, 7, 7, 51, 189, 457, 95, 1903, 639, 1933, 7409, 22327, 18959, 42679, 158987}},
-{18152, 18, 79697, {1, 1, 5, 9, 13, 13, 49, 159, 387, 365, 1799, 2399, 6375, 14965, 32495, 5383, 73479, 5653}},
-{18153, 18, 79700, {1, 1, 3, 1, 29, 23, 81, 73, 183, 563, 435, 133, 5731, 6663, 21219, 60007, 101215, 68775}},
-{18154, 18, 79723, {1, 1, 7, 11, 31, 47, 43, 159, 221, 745, 1317, 2405, 4563, 4073, 27675, 14225, 114231, 222553}},
-{18155, 18, 79749, {1, 1, 1, 5, 11, 63, 105, 99, 413, 81, 771, 547, 1633, 8097, 30431, 31417, 101379, 163575}},
-{18156, 18, 79750, {1, 1, 3, 9, 23, 29, 123, 149, 241, 267, 1925, 467, 7743, 4473, 12223, 10521, 86265, 89949}},
-{18157, 18, 79764, {1, 3, 5, 1, 31, 29, 111, 67, 311, 851, 1919, 2563, 3725, 4035, 7241, 13859, 105207, 200599}},
-{18158, 18, 79771, {1, 3, 7, 3, 19, 53, 113, 107, 133, 243, 2021, 2669, 4633, 14393, 24827, 1233, 81471, 20105}},
-{18159, 18, 79774, {1, 1, 1, 5, 3, 23, 43, 149, 157, 875, 1175, 963, 6189, 7343, 13913, 41375, 112857, 236047}},
-{18160, 18, 79780, {1, 3, 5, 15, 11, 31, 43, 225, 469, 229, 703, 3033, 2341, 10309, 12057, 13325, 109019, 130789}},
-{18161, 18, 79789, {1, 1, 1, 7, 27, 47, 45, 49, 371, 971, 1121, 2179, 1267, 9499, 10771, 28781, 77059, 90765}},
-{18162, 18, 79798, {1, 1, 7, 1, 17, 27, 59, 169, 269, 217, 983, 1365, 1985, 12287, 5385, 46407, 24827, 155761}},
-{18163, 18, 79821, {1, 1, 7, 11, 9, 5, 19, 205, 159, 937, 763, 3823, 3625, 14209, 32031, 58879, 118449, 50723}},
-{18164, 18, 79850, {1, 1, 5, 3, 25, 55, 27, 35, 125, 999, 1541, 3883, 539, 5691, 18071, 63199, 112089, 194825}},
-{18165, 18, 79864, {1, 3, 3, 1, 27, 43, 57, 225, 173, 673, 1339, 3433, 5743, 1375, 32429, 35071, 98035, 229973}},
-{18166, 18, 79898, {1, 3, 3, 9, 3, 51, 5, 203, 439, 41, 529, 863, 6735, 13211, 7075, 55637, 24481, 46673}},
-{18167, 18, 79904, {1, 1, 5, 11, 15, 23, 93, 7, 181, 843, 777, 1299, 1941, 7147, 26253, 10967, 5387, 84611}},
-{18168, 18, 79934, {1, 3, 1, 7, 9, 57, 127, 155, 257, 423, 1421, 261, 4477, 11169, 22997, 12371, 8705, 135883}},
-{18169, 18, 79936, {1, 3, 1, 9, 17, 9, 15, 209, 427, 889, 1939, 3623, 2587, 4037, 32233, 40391, 32529, 63851}},
-{18170, 18, 79942, {1, 3, 3, 13, 3, 19, 49, 155, 213, 239, 817, 1787, 2999, 9955, 20155, 44711, 41367, 59623}},
-{18171, 18, 79945, {1, 3, 7, 5, 5, 39, 103, 181, 405, 85, 1997, 3639, 1259, 10737, 189, 44377, 23589, 89371}},
-{18172, 18, 79963, {1, 3, 5, 11, 15, 13, 57, 81, 203, 773, 1571, 3235, 6625, 13803, 2091, 64265, 131013, 189705}},
-{18173, 18, 79987, {1, 1, 1, 13, 15, 3, 113, 159, 149, 55, 355, 2345, 5043, 4067, 23277, 32647, 43755, 5445}},
-{18174, 18, 80057, {1, 3, 3, 9, 31, 7, 67, 177, 423, 269, 1731, 3957, 4383, 13483, 14653, 8243, 57689, 37375}},
-{18175, 18, 80077, {1, 1, 3, 5, 25, 5, 77, 199, 161, 859, 497, 1679, 6809, 4877, 1107, 16443, 15505, 138155}},
-{18176, 18, 80078, {1, 3, 5, 1, 11, 57, 7, 49, 145, 569, 571, 2679, 7531, 14517, 12425, 6285, 116961, 116397}},
-{18177, 18, 80080, {1, 1, 7, 11, 1, 37, 65, 43, 151, 419, 801, 3231, 5321, 10725, 12885, 62771, 16507, 179009}},
-{18178, 18, 80102, {1, 1, 5, 11, 29, 55, 89, 81, 325, 47, 1037, 3235, 2017, 10875, 8919, 25115, 118035, 178227}},
-{18179, 18, 80106, {1, 3, 1, 7, 1, 43, 101, 25, 449, 617, 381, 3437, 6655, 1291, 18693, 53939, 99143, 195695}},
-{18180, 18, 80111, {1, 3, 1, 5, 23, 7, 47, 159, 295, 939, 173, 3087, 1497, 6353, 13893, 13465, 118973, 193737}},
-{18181, 18, 80152, {1, 1, 3, 9, 3, 41, 65, 79, 449, 345, 2039, 1193, 5915, 13689, 1257, 23273, 48515, 256793}},
-{18182, 18, 80155, {1, 3, 5, 11, 11, 55, 13, 117, 343, 899, 1853, 373, 6885, 12863, 1209, 34433, 48215, 218187}},
-{18183, 18, 80173, {1, 3, 7, 7, 3, 45, 103, 145, 55, 507, 743, 4027, 2075, 15707, 4473, 50077, 64551, 204305}},
-{18184, 18, 80186, {1, 1, 3, 5, 31, 45, 123, 233, 363, 1003, 411, 1459, 6455, 985, 29451, 17625, 44153, 137097}},
-{18185, 18, 80203, {1, 3, 3, 1, 27, 11, 53, 251, 41, 43, 495, 107, 6145, 8785, 28997, 7181, 92903, 105785}},
-{18186, 18, 80223, {1, 1, 3, 11, 13, 5, 117, 141, 463, 639, 1857, 2873, 3627, 6081, 18207, 29451, 80909, 73557}},
-{18187, 18, 80233, {1, 1, 1, 3, 29, 51, 15, 81, 85, 487, 307, 2481, 2769, 14901, 9407, 58321, 52813, 230393}},
-{18188, 18, 80258, {1, 3, 3, 11, 31, 7, 107, 43, 205, 811, 1121, 2757, 2447, 6843, 21347, 9143, 41003, 80507}},
-{18189, 18, 80281, {1, 1, 1, 1, 29, 19, 13, 203, 47, 689, 2003, 1477, 7857, 5031, 21781, 5745, 3649, 160389}},
-{18190, 18, 80318, {1, 3, 3, 7, 21, 21, 65, 3, 351, 157, 167, 3425, 2395, 9165, 26143, 57221, 127171, 54461}},
-{18191, 18, 80326, {1, 3, 1, 15, 13, 13, 65, 53, 305, 719, 181, 709, 5485, 13385, 30287, 52669, 82647, 83851}},
-{18192, 18, 80330, {1, 1, 3, 11, 11, 23, 31, 109, 205, 123, 509, 3831, 7771, 7341, 31613, 28035, 38061, 49375}},
-{18193, 18, 80337, {1, 3, 3, 3, 15, 33, 47, 159, 321, 589, 393, 3253, 3743, 6161, 445, 33129, 8181, 27793}},
-{18194, 18, 80344, {1, 1, 1, 13, 9, 57, 111, 253, 203, 539, 673, 855, 1937, 2699, 25795, 6889, 13531, 63561}},
-{18195, 18, 80365, {1, 1, 1, 13, 31, 45, 13, 101, 113, 903, 1699, 2423, 7967, 7957, 20303, 64395, 124447, 33947}},
-{18196, 18, 80383, {1, 3, 5, 11, 17, 39, 59, 181, 421, 535, 1445, 3927, 5433, 12885, 12497, 47231, 39819, 46371}},
-{18197, 18, 80389, {1, 3, 5, 7, 27, 3, 75, 49, 461, 781, 433, 1767, 6903, 11907, 2063, 55199, 82823, 229405}},
-{18198, 18, 80413, {1, 3, 3, 15, 17, 61, 17, 23, 247, 683, 33, 4027, 341, 8069, 2529, 9757, 95653, 12927}},
-{18199, 18, 80441, {1, 3, 3, 11, 17, 7, 29, 205, 353, 917, 219, 3509, 7803, 5939, 25111, 45357, 9259, 1549}},
-{18200, 18, 80449, {1, 3, 3, 15, 21, 7, 23, 25, 459, 291, 31, 2091, 1177, 9311, 12231, 16617, 33575, 252643}},
-{18201, 18, 80461, {1, 3, 5, 5, 3, 51, 113, 123, 453, 503, 1575, 2785, 5011, 1789, 819, 30857, 12955, 172421}},
-{18202, 18, 80467, {1, 1, 5, 3, 15, 15, 125, 65, 113, 281, 53, 3417, 5279, 6351, 25931, 54835, 124077, 204241}},
-{18203, 18, 80476, {1, 1, 3, 9, 29, 31, 19, 179, 275, 933, 711, 3351, 6221, 1711, 9375, 11645, 118911, 249395}},
-{18204, 18, 80507, {1, 3, 7, 13, 23, 59, 43, 61, 85, 267, 691, 3949, 2135, 3203, 21455, 61895, 71157, 136739}},
-{18205, 18, 80516, {1, 1, 7, 5, 19, 27, 69, 141, 9, 633, 95, 3789, 7823, 12635, 27661, 30285, 129469, 67163}},
-{18206, 18, 80519, {1, 3, 3, 9, 11, 25, 103, 47, 425, 809, 1279, 411, 219, 6703, 24145, 17303, 56835, 84879}},
-{18207, 18, 80568, {1, 1, 5, 13, 29, 41, 47, 133, 197, 615, 169, 2157, 1795, 4945, 31693, 57763, 39369, 83353}},
-{18208, 18, 80571, {1, 3, 1, 3, 27, 23, 23, 213, 387, 239, 977, 221, 383, 11005, 7221, 8795, 100963, 163777}},
-{18209, 18, 80579, {1, 1, 1, 1, 31, 29, 87, 93, 239, 399, 801, 3143, 6973, 16331, 16865, 1823, 1127, 41983}},
-{18210, 18, 80586, {1, 1, 3, 13, 7, 39, 25, 251, 277, 417, 119, 3033, 6785, 9783, 1641, 60169, 25047, 182263}},
-{18211, 18, 80599, {1, 1, 5, 5, 7, 35, 17, 47, 295, 861, 1671, 1971, 4583, 3925, 31013, 50039, 125191, 143019}},
-{18212, 18, 80610, {1, 1, 5, 1, 3, 57, 11, 23, 273, 209, 617, 1499, 665, 1193, 7539, 1625, 48065, 82843}},
-{18213, 18, 80629, {1, 1, 3, 15, 15, 17, 39, 145, 193, 503, 1305, 2071, 93, 11529, 14267, 14779, 49327, 51347}},
-{18214, 18, 80642, {1, 3, 5, 3, 7, 39, 63, 171, 263, 493, 383, 3209, 4277, 6259, 1345, 48013, 110571, 127865}},
-{18215, 18, 80690, {1, 3, 1, 7, 15, 29, 93, 75, 37, 235, 1095, 153, 745, 9785, 28831, 58899, 67091, 34743}},
-{18216, 18, 80713, {1, 3, 7, 9, 27, 23, 67, 85, 491, 447, 1899, 709, 555, 13979, 12529, 38383, 16091, 117301}},
-{18217, 18, 80716, {1, 1, 5, 3, 9, 55, 109, 173, 29, 19, 1265, 2391, 7761, 1953, 5643, 24079, 14187, 127017}},
-{18218, 18, 80737, {1, 3, 7, 13, 21, 57, 105, 145, 73, 421, 403, 5, 3523, 7005, 1109, 63357, 111671, 191857}},
-{18219, 18, 80743, {1, 1, 7, 13, 5, 27, 21, 5, 199, 515, 917, 365, 2775, 12453, 26989, 60593, 98977, 161759}},
-{18220, 18, 80750, {1, 3, 1, 13, 15, 37, 71, 65, 27, 533, 1311, 2981, 1945, 7183, 5337, 20659, 67355, 185633}},
-{18221, 18, 80786, {1, 1, 5, 7, 21, 39, 21, 195, 443, 979, 1033, 1823, 3045, 3023, 31783, 61803, 1023, 119291}},
-{18222, 18, 80811, {1, 1, 3, 11, 5, 15, 107, 155, 465, 249, 1845, 357, 2769, 3313, 12335, 16615, 20809, 103469}},
-{18223, 18, 80834, {1, 1, 3, 9, 13, 21, 11, 227, 173, 949, 1255, 3257, 601, 10865, 12779, 9173, 87255, 12867}},
-{18224, 18, 80839, {1, 3, 3, 15, 3, 41, 97, 141, 385, 23, 1253, 2905, 1523, 7647, 7069, 61143, 101245, 59747}},
-{18225, 18, 80840, {1, 3, 1, 3, 7, 35, 117, 93, 357, 741, 1673, 3295, 6809, 547, 22949, 42151, 91241, 16189}},
-{18226, 18, 80846, {1, 3, 5, 9, 25, 31, 27, 221, 55, 595, 1513, 3963, 3143, 1189, 19843, 6361, 19575, 231765}},
-{18227, 18, 80848, {1, 1, 5, 1, 3, 35, 91, 217, 385, 717, 57, 1471, 3529, 859, 15259, 4411, 54491, 79841}},
-{18228, 18, 80876, {1, 1, 5, 9, 29, 47, 111, 89, 469, 975, 513, 1339, 1747, 8839, 30375, 46217, 128191, 95831}},
-{18229, 18, 80911, {1, 1, 5, 13, 9, 45, 3, 221, 223, 461, 1353, 3953, 5505, 3139, 3407, 12953, 74487, 209401}},
-{18230, 18, 80947, {1, 1, 7, 7, 7, 43, 33, 143, 427, 183, 573, 2881, 7355, 10693, 12841, 14267, 61847, 47689}},
-{18231, 18, 81001, {1, 1, 3, 5, 23, 45, 53, 173, 347, 715, 173, 3385, 429, 8143, 2831, 57883, 77245, 37613}},
-{18232, 18, 81031, {1, 1, 1, 13, 21, 47, 33, 157, 171, 47, 1981, 2003, 7401, 7687, 10553, 38083, 111901, 30251}},
-{18233, 18, 81045, {1, 1, 5, 9, 23, 35, 121, 251, 7, 835, 1561, 1605, 7023, 15645, 14313, 6361, 107973, 211667}},
-{18234, 18, 81056, {1, 3, 1, 13, 25, 39, 81, 31, 145, 483, 1587, 3457, 5293, 927, 3529, 22457, 69689, 190371}},
-{18235, 18, 81073, {1, 1, 1, 3, 25, 61, 87, 111, 441, 829, 313, 2271, 205, 10187, 3003, 47237, 99899, 200553}},
-{18236, 18, 81083, {1, 1, 7, 13, 31, 51, 9, 243, 219, 139, 1703, 2001, 959, 11265, 27897, 9081, 4473, 107737}},
-{18237, 18, 81145, {1, 3, 5, 1, 25, 37, 61, 131, 487, 35, 1293, 833, 3847, 11315, 11811, 2763, 2199, 81127}},
-{18238, 18, 81168, {1, 3, 7, 7, 31, 33, 87, 111, 429, 809, 173, 1093, 7719, 14307, 5735, 61019, 21223, 26361}},
-{18239, 18, 81177, {1, 1, 3, 11, 17, 33, 31, 17, 49, 885, 1279, 2243, 3693, 61, 30909, 35807, 14027, 159225}},
-{18240, 18, 81207, {1, 3, 7, 11, 9, 35, 61, 75, 171, 117, 1285, 935, 7271, 3509, 14119, 31065, 58181, 136623}},
-{18241, 18, 81208, {1, 1, 3, 15, 3, 43, 93, 221, 239, 783, 37, 4007, 3637, 10461, 18425, 59629, 93781, 252689}},
-{18242, 18, 81226, {1, 3, 5, 7, 5, 61, 19, 107, 123, 417, 1655, 2307, 8177, 13617, 17195, 31597, 66241, 107199}},
-{18243, 18, 81245, {1, 3, 7, 7, 5, 5, 25, 69, 383, 217, 993, 2719, 3425, 8395, 1125, 10763, 80111, 70421}},
-{18244, 18, 81269, {1, 1, 3, 9, 29, 45, 123, 45, 89, 1015, 1703, 4049, 4969, 3801, 23657, 41031, 66415, 34063}},
-{18245, 18, 81285, {1, 1, 3, 3, 7, 53, 125, 63, 67, 335, 1937, 1793, 4641, 7115, 10951, 45503, 54723, 177433}},
-{18246, 18, 81289, {1, 3, 5, 1, 21, 55, 83, 199, 509, 331, 695, 2133, 1881, 14369, 21687, 2343, 85895, 99255}},
-{18247, 18, 81292, {1, 1, 5, 9, 11, 5, 111, 97, 433, 851, 1537, 411, 6629, 5185, 30749, 50017, 46177, 213347}},
-{18248, 18, 81298, {1, 3, 3, 1, 7, 21, 95, 229, 311, 605, 1277, 2435, 5053, 3051, 15447, 35479, 2835, 204149}},
-{18249, 18, 81310, {1, 3, 5, 9, 31, 27, 79, 201, 329, 735, 1933, 27, 6201, 9375, 24801, 34045, 16227, 61013}},
-{18250, 18, 81346, {1, 1, 5, 5, 31, 7, 73, 197, 455, 835, 1845, 2733, 3371, 513, 10495, 43659, 4621, 68969}},
-{18251, 18, 81348, {1, 1, 1, 15, 21, 55, 15, 83, 419, 471, 1427, 919, 7125, 7635, 25579, 19493, 37381, 191563}},
-{18252, 18, 81355, {1, 1, 7, 3, 15, 35, 25, 73, 295, 507, 719, 3307, 4253, 945, 21005, 24903, 80287, 48885}},
-{18253, 18, 81388, {1, 3, 7, 15, 27, 13, 71, 79, 189, 491, 1185, 3007, 4285, 13005, 18973, 33759, 15327, 45595}},
-{18254, 18, 81396, {1, 3, 3, 9, 9, 33, 115, 103, 31, 949, 1817, 2865, 1215, 9611, 16019, 7925, 72945, 208301}},
-{18255, 18, 81415, {1, 1, 1, 5, 19, 35, 89, 181, 409, 641, 1277, 2201, 2825, 5707, 13463, 34741, 39303, 217803}},
-{18256, 18, 81460, {1, 1, 3, 11, 13, 31, 65, 191, 11, 179, 509, 2513, 3861, 13323, 11817, 24901, 53815, 44343}},
-{18257, 18, 81482, {1, 3, 1, 5, 5, 57, 97, 25, 83, 177, 1963, 2367, 6703, 13361, 8749, 45533, 87883, 2977}},
-{18258, 18, 81518, {1, 3, 5, 3, 15, 41, 113, 145, 39, 509, 81, 1387, 2881, 1441, 75, 28409, 61417, 79393}},
-{18259, 18, 81523, {1, 3, 3, 3, 17, 1, 41, 19, 173, 133, 2033, 3637, 7415, 1841, 19497, 42643, 122885, 195301}},
-{18260, 18, 81529, {1, 3, 3, 9, 15, 37, 11, 87, 291, 881, 1471, 2469, 6877, 6813, 8273, 1455, 30957, 181887}},
-{18261, 18, 81545, {1, 3, 5, 9, 25, 41, 7, 71, 451, 831, 495, 3991, 4173, 4307, 31249, 7253, 57141, 35495}},
-{18262, 18, 81570, {1, 1, 7, 9, 15, 39, 29, 193, 327, 837, 991, 3503, 1175, 14965, 18151, 22479, 51127, 159019}},
-{18263, 18, 81576, {1, 3, 1, 9, 23, 41, 89, 211, 179, 507, 1005, 613, 8083, 15655, 1927, 23401, 51025, 21589}},
-{18264, 18, 81604, {1, 1, 5, 15, 5, 63, 105, 229, 239, 399, 591, 2233, 391, 2871, 29829, 49961, 62045, 190437}},
-{18265, 18, 81613, {1, 3, 5, 9, 7, 23, 85, 219, 163, 37, 1881, 589, 4239, 12845, 19993, 57267, 29519, 207597}},
-{18266, 18, 81631, {1, 3, 7, 15, 19, 19, 115, 141, 41, 405, 657, 2517, 4231, 10247, 21383, 11479, 52955, 121545}},
-{18267, 18, 81656, {1, 3, 1, 7, 23, 33, 65, 229, 287, 739, 1265, 1105, 487, 3801, 5211, 44731, 5359, 103685}},
-{18268, 18, 81679, {1, 3, 1, 13, 23, 29, 101, 153, 395, 335, 899, 303, 2073, 15767, 1303, 15539, 12889, 35517}},
-{18269, 18, 81684, {1, 1, 5, 11, 5, 63, 41, 53, 99, 339, 563, 2921, 4959, 13941, 13655, 10115, 56867, 42919}},
-{18270, 18, 81698, {1, 3, 5, 5, 5, 35, 127, 225, 497, 27, 139, 3269, 3929, 3369, 22697, 19421, 2921, 171927}},
-{18271, 18, 81736, {1, 1, 1, 15, 15, 21, 35, 251, 67, 447, 1045, 1173, 2951, 6589, 27261, 36597, 98721, 7205}},
-{18272, 18, 81747, {1, 3, 3, 9, 11, 63, 83, 19, 163, 381, 87, 1211, 3007, 4971, 27105, 2341, 21389, 32995}},
-{18273, 18, 81765, {1, 1, 3, 3, 21, 19, 63, 65, 505, 987, 1821, 2419, 3195, 2573, 1481, 35279, 45135, 597}},
-{18274, 18, 81775, {1, 3, 1, 15, 29, 5, 77, 65, 121, 223, 2009, 593, 7929, 10353, 22301, 25137, 40289, 95847}},
-{18275, 18, 81805, {1, 1, 3, 1, 17, 49, 9, 167, 69, 729, 1189, 1191, 1, 12603, 8281, 45193, 1427, 15887}},
-{18276, 18, 81842, {1, 1, 3, 7, 17, 5, 11, 217, 505, 317, 505, 1201, 8025, 13255, 12591, 16207, 32387, 242425}},
-{18277, 18, 81859, {1, 3, 7, 9, 25, 9, 97, 23, 91, 765, 653, 2689, 2787, 11719, 8455, 24665, 26907, 78525}},
-{18278, 18, 81865, {1, 3, 3, 15, 27, 19, 79, 157, 117, 715, 1921, 2453, 499, 13593, 14173, 1993, 110087, 151427}},
-{18279, 18, 81866, {1, 3, 1, 13, 5, 43, 59, 21, 451, 863, 533, 1723, 2059, 1611, 10403, 36479, 36999, 109553}},
-{18280, 18, 81892, {1, 3, 7, 7, 29, 63, 51, 5, 475, 549, 123, 1949, 5279, 8581, 20053, 52287, 125223, 152299}},
-{18281, 18, 81902, {1, 3, 1, 1, 7, 19, 1, 215, 273, 157, 1557, 425, 7549, 12337, 1735, 30917, 116487, 177335}},
-{18282, 18, 81933, {1, 1, 1, 1, 7, 47, 61, 191, 73, 551, 1435, 2283, 3191, 8545, 11875, 41389, 17607, 26869}},
-{18283, 18, 81934, {1, 1, 7, 9, 13, 61, 109, 121, 365, 223, 1729, 3311, 7249, 10765, 12419, 4235, 64127, 132257}},
-{18284, 18, 81942, {1, 1, 3, 13, 17, 25, 65, 49, 417, 311, 141, 1127, 53, 945, 28277, 33347, 96399, 166049}},
-{18285, 18, 81969, {1, 3, 7, 9, 5, 21, 93, 203, 467, 805, 115, 1757, 4535, 8687, 10423, 8065, 2955, 20403}},
-{18286, 18, 81981, {1, 3, 3, 15, 7, 63, 103, 137, 227, 111, 735, 2139, 4293, 5347, 4131, 63405, 42599, 173299}},
-{18287, 18, 81999, {1, 3, 7, 7, 17, 53, 127, 251, 57, 625, 843, 3045, 1319, 10085, 18591, 36115, 104193, 183891}},
-{18288, 18, 82004, {1, 3, 7, 1, 31, 57, 107, 253, 207, 739, 1703, 1377, 3807, 10289, 22969, 13087, 2805, 261279}},
-{18289, 18, 82008, {1, 1, 5, 5, 5, 59, 59, 63, 77, 663, 1109, 2159, 3725, 12355, 4805, 22433, 81851, 9419}},
-{18290, 18, 82032, {1, 1, 7, 15, 1, 1, 101, 101, 295, 311, 447, 3931, 933, 15713, 8919, 7185, 38577, 254203}},
-{18291, 18, 82035, {1, 1, 5, 15, 7, 35, 35, 141, 283, 665, 1685, 3875, 495, 1655, 8269, 23493, 1523, 248783}},
-{18292, 18, 82060, {1, 1, 5, 9, 27, 35, 25, 57, 285, 469, 1491, 1479, 3705, 11357, 5319, 11575, 116207, 215961}},
-{18293, 18, 82063, {1, 3, 5, 11, 7, 41, 67, 161, 73, 777, 247, 823, 6677, 1631, 3431, 2821, 25291, 17633}},
-{18294, 18, 82071, {1, 1, 3, 9, 19, 17, 45, 181, 139, 85, 857, 1231, 7167, 2951, 26847, 39113, 51705, 104617}},
-{18295, 18, 82081, {1, 3, 5, 1, 5, 55, 101, 209, 1, 47, 1059, 2175, 1549, 8007, 11267, 21863, 125567, 102775}},
-{18296, 18, 82082, {1, 3, 3, 15, 15, 21, 79, 85, 427, 963, 1335, 2129, 6831, 6613, 13319, 15781, 3781, 222547}},
-{18297, 18, 82105, {1, 3, 3, 13, 19, 63, 25, 123, 1, 215, 139, 1345, 5035, 3107, 14381, 6239, 18481, 202581}},
-{18298, 18, 82106, {1, 1, 5, 1, 11, 11, 11, 53, 109, 533, 1113, 177, 609, 15391, 22735, 62229, 103591, 89143}},
-{18299, 18, 82120, {1, 1, 5, 15, 3, 21, 115, 223, 167, 441, 277, 2971, 933, 2841, 26893, 48513, 74553, 250413}},
-{18300, 18, 82125, {1, 1, 1, 7, 19, 17, 43, 181, 483, 897, 819, 1657, 5539, 8847, 23483, 57605, 104703, 242559}},
-{18301, 18, 82156, {1, 3, 5, 11, 3, 63, 3, 129, 45, 981, 45, 845, 1481, 14735, 30451, 16937, 13789, 27107}},
-{18302, 18, 82176, {1, 3, 3, 15, 25, 11, 33, 49, 155, 947, 521, 3417, 3299, 1123, 9517, 32127, 117795, 223167}},
-{18303, 18, 82203, {1, 3, 5, 15, 3, 35, 27, 37, 287, 541, 727, 2779, 7033, 5189, 21579, 36895, 109645, 123353}},
-{18304, 18, 82210, {1, 3, 7, 9, 15, 53, 123, 125, 405, 841, 119, 63, 853, 8693, 1537, 25509, 49345, 54301}},
-{18305, 18, 82241, {1, 3, 7, 9, 11, 63, 65, 145, 283, 529, 1553, 883, 3319, 8601, 29379, 26991, 127343, 98701}},
-{18306, 18, 82287, {1, 1, 1, 7, 23, 59, 11, 89, 407, 869, 445, 659, 3029, 5465, 5063, 36775, 69089, 205367}},
-{18307, 18, 82323, {1, 3, 7, 5, 19, 35, 99, 49, 257, 287, 1113, 2825, 2797, 7283, 31757, 47015, 106987, 82589}},
-{18308, 18, 82330, {1, 3, 7, 11, 15, 37, 41, 101, 493, 725, 1091, 503, 2611, 13025, 11071, 39311, 5193, 92127}},
-{18309, 18, 82366, {1, 1, 3, 7, 9, 59, 69, 113, 381, 341, 1495, 3169, 5099, 69, 7911, 9721, 84609, 254171}},
-{18310, 18, 82378, {1, 3, 5, 7, 21, 19, 75, 71, 7, 617, 1185, 2787, 4147, 16045, 18859, 52347, 66551, 161563}},
-{18311, 18, 82395, {1, 3, 5, 3, 27, 39, 17, 205, 425, 3, 1443, 1947, 7645, 10125, 24577, 45373, 38015, 30407}},
-{18312, 18, 82398, {1, 3, 3, 11, 1, 57, 105, 251, 65, 389, 1993, 3933, 3093, 1425, 9483, 5953, 13147, 234121}},
-{18313, 18, 82401, {1, 3, 3, 3, 1, 27, 105, 45, 435, 393, 609, 291, 545, 4905, 22621, 62115, 78955, 84355}},
-{18314, 18, 82404, {1, 3, 7, 9, 1, 15, 91, 183, 301, 223, 1183, 1877, 2141, 5549, 371, 44147, 6771, 136777}},
-{18315, 18, 82419, {1, 1, 5, 15, 5, 49, 127, 161, 121, 979, 1247, 3681, 3805, 3363, 11643, 25735, 21193, 111657}},
-{18316, 18, 82421, {1, 3, 5, 15, 15, 33, 47, 91, 137, 323, 1577, 3723, 3609, 11533, 4415, 26467, 120947, 200919}},
-{18317, 18, 82428, {1, 3, 3, 3, 3, 33, 121, 161, 453, 205, 1815, 65, 5893, 4669, 14377, 10905, 9559, 56359}},
-{18318, 18, 82442, {1, 1, 1, 7, 1, 55, 21, 143, 411, 65, 1009, 2989, 133, 7059, 30981, 15417, 2651, 110345}},
-{18319, 18, 82452, {1, 1, 3, 7, 19, 25, 91, 241, 193, 903, 661, 665, 7681, 14111, 29197, 51299, 109519, 155827}},
-{18320, 18, 82455, {1, 1, 1, 15, 25, 3, 79, 57, 417, 73, 705, 7, 4415, 7699, 28185, 53005, 88547, 7281}},
-{18321, 18, 82466, {1, 1, 7, 13, 27, 21, 35, 197, 65, 171, 1773, 393, 3759, 8335, 5987, 20611, 91373, 80715}},
-{18322, 18, 82510, {1, 3, 7, 3, 17, 51, 85, 229, 131, 733, 281, 3157, 1283, 10751, 20203, 49955, 23861, 128517}},
-{18323, 18, 82524, {1, 1, 5, 15, 3, 27, 35, 87, 391, 509, 1627, 769, 701, 4933, 24597, 9695, 111441, 198493}},
-{18324, 18, 82545, {1, 1, 1, 15, 3, 31, 73, 235, 341, 263, 883, 2369, 4887, 4659, 9493, 6763, 130625, 15031}},
-{18325, 18, 82555, {1, 3, 1, 15, 1, 11, 63, 79, 389, 355, 619, 1361, 313, 1199, 555, 42213, 81089, 170863}},
-{18326, 18, 82581, {1, 3, 1, 15, 21, 27, 1, 179, 19, 241, 1655, 1803, 5413, 5353, 65, 31211, 3501, 27205}},
-{18327, 18, 82588, {1, 3, 3, 9, 9, 19, 63, 191, 217, 271, 1453, 2777, 2915, 13291, 31391, 37489, 86435, 22857}},
-{18328, 18, 82591, {1, 3, 5, 9, 13, 41, 85, 11, 333, 479, 363, 2591, 697, 8587, 3647, 5741, 21627, 244573}},
-{18329, 18, 82636, {1, 1, 3, 1, 5, 61, 83, 229, 193, 977, 677, 2585, 3273, 12035, 2621, 12943, 49293, 37985}},
-{18330, 18, 82658, {1, 1, 5, 7, 27, 9, 69, 189, 489, 747, 519, 719, 1493, 13337, 14933, 44359, 11471, 57245}},
-{18331, 18, 82675, {1, 3, 5, 1, 5, 17, 75, 89, 417, 367, 57, 1641, 1573, 1819, 31237, 5213, 78821, 149853}},
-{18332, 18, 82678, {1, 1, 7, 3, 7, 17, 121, 91, 211, 101, 1145, 3753, 2997, 67, 10755, 11261, 122489, 61679}},
-{18333, 18, 82716, {1, 3, 7, 7, 15, 17, 73, 133, 429, 285, 201, 1917, 5677, 1793, 21653, 49729, 68965, 5347}},
-{18334, 18, 82725, {1, 3, 3, 13, 23, 17, 49, 249, 71, 169, 619, 843, 2163, 585, 23309, 39509, 68087, 232233}},
-{18335, 18, 82743, {1, 1, 7, 15, 23, 15, 19, 227, 89, 719, 1247, 2521, 1509, 7553, 12225, 12865, 100107, 261847}},
-{18336, 18, 82744, {1, 1, 5, 3, 23, 17, 117, 5, 401, 57, 1945, 1081, 1269, 5921, 31815, 42341, 112099, 130047}},
-{18337, 18, 82762, {1, 1, 1, 1, 9, 5, 87, 203, 211, 1009, 403, 1617, 3969, 2541, 7261, 6989, 16579, 206159}},
-{18338, 18, 82770, {1, 3, 7, 9, 5, 13, 93, 191, 79, 631, 1019, 3639, 7137, 13859, 19603, 63263, 82947, 181023}},
-{18339, 18, 82809, {1, 1, 5, 11, 25, 17, 85, 51, 61, 311, 517, 2001, 6325, 6831, 10835, 20101, 115241, 15815}},
-{18340, 18, 82846, {1, 3, 7, 13, 29, 19, 33, 115, 473, 477, 471, 773, 4097, 11697, 30781, 20843, 27089, 181927}},
-{18341, 18, 82855, {1, 3, 5, 5, 21, 27, 3, 239, 45, 335, 505, 149, 3005, 3511, 18037, 31291, 6145, 2913}},
-{18342, 18, 82882, {1, 1, 3, 1, 25, 49, 21, 225, 27, 395, 415, 1813, 5727, 7211, 9887, 63533, 99185, 119269}},
-{18343, 18, 82899, {1, 3, 3, 5, 15, 53, 127, 195, 81, 895, 587, 561, 5951, 9901, 18117, 37855, 19393, 259031}},
-{18344, 18, 82905, {1, 1, 7, 13, 9, 49, 109, 127, 53, 735, 391, 1523, 3759, 10363, 11299, 3203, 89121, 122643}},
-{18345, 18, 82950, {1, 1, 5, 3, 13, 3, 21, 247, 259, 557, 977, 1465, 6889, 3879, 4627, 1439, 122809, 248941}},
-{18346, 18, 82953, {1, 3, 7, 15, 7, 19, 113, 251, 245, 63, 267, 1873, 6601, 16253, 24643, 7433, 130051, 233047}},
-{18347, 18, 82967, {1, 1, 3, 9, 29, 39, 47, 31, 493, 817, 1697, 2139, 1059, 11365, 31653, 56477, 119191, 45509}},
-{18348, 18, 82971, {1, 1, 1, 15, 9, 29, 99, 61, 109, 341, 1009, 1551, 897, 13075, 10603, 25153, 65911, 228213}},
-{18349, 18, 82987, {1, 3, 7, 7, 29, 47, 57, 85, 263, 767, 1633, 2473, 199, 49, 22287, 33345, 118877, 248435}},
-{18350, 18, 83007, {1, 3, 1, 9, 5, 45, 5, 179, 9, 129, 1231, 4075, 7497, 2159, 18101, 31039, 95213, 171913}},
-{18351, 18, 83009, {1, 1, 1, 13, 23, 1, 89, 63, 21, 983, 481, 773, 5957, 4823, 4483, 50405, 42979, 243567}},
-{18352, 18, 83012, {1, 1, 5, 13, 15, 21, 65, 133, 347, 511, 1887, 743, 7825, 1681, 4857, 49247, 21277, 212995}},
-{18353, 18, 83030, {1, 3, 7, 9, 7, 51, 3, 233, 287, 727, 815, 3609, 397, 5721, 16473, 7549, 100455, 136233}},
-{18354, 18, 83045, {1, 3, 1, 1, 31, 51, 59, 37, 79, 623, 1219, 2655, 4619, 11967, 11377, 28985, 16069, 188773}},
-{18355, 18, 83050, {1, 3, 3, 13, 13, 59, 93, 159, 197, 339, 1633, 1601, 255, 1631, 4989, 12019, 23921, 261273}},
-{18356, 18, 83052, {1, 1, 3, 13, 27, 25, 55, 43, 147, 981, 65, 725, 5753, 115, 26125, 25501, 89099, 233419}},
-{18357, 18, 83070, {1, 3, 7, 5, 25, 3, 95, 135, 191, 417, 929, 3855, 5829, 3827, 13979, 65367, 63683, 85911}},
-{18358, 18, 83076, {1, 3, 5, 1, 7, 63, 45, 187, 355, 735, 1325, 1461, 3869, 2127, 18231, 45891, 24027, 202997}},
-{18359, 18, 83086, {1, 3, 7, 13, 19, 47, 89, 229, 253, 659, 355, 3323, 4081, 8243, 32553, 46579, 46431, 53291}},
-{18360, 18, 83128, {1, 1, 5, 11, 3, 61, 33, 65, 239, 779, 665, 1337, 6427, 12787, 1495, 27105, 71455, 89715}},
-{18361, 18, 83141, {1, 3, 1, 11, 31, 33, 115, 69, 511, 187, 99, 1055, 1065, 9531, 29897, 23897, 80581, 166957}},
-{18362, 18, 83153, {1, 1, 7, 13, 19, 1, 13, 241, 89, 761, 425, 3865, 961, 14999, 24175, 19103, 39095, 38899}},
-{18363, 18, 83156, {1, 3, 7, 7, 11, 17, 25, 217, 113, 615, 1455, 1409, 5679, 2321, 28687, 8089, 74031, 230559}},
-{18364, 18, 83194, {1, 3, 7, 1, 25, 15, 77, 111, 405, 523, 961, 647, 3857, 14355, 27063, 48829, 87913, 254965}},
-{18365, 18, 83225, {1, 1, 3, 3, 5, 13, 67, 155, 393, 943, 1875, 1209, 3765, 8627, 15123, 43405, 78473, 146127}},
-{18366, 18, 83261, {1, 1, 3, 7, 29, 43, 23, 33, 35, 883, 1859, 1559, 4163, 13277, 16971, 15289, 60305, 56743}},
-{18367, 18, 83264, {1, 1, 1, 5, 19, 55, 37, 53, 123, 35, 1477, 1035, 4683, 259, 20079, 37041, 48081, 198685}},
-{18368, 18, 83322, {1, 1, 3, 3, 1, 19, 27, 129, 427, 685, 959, 2501, 2761, 9495, 23649, 18789, 54521, 219547}},
-{18369, 18, 83382, {1, 1, 7, 1, 31, 11, 65, 171, 229, 11, 1825, 1641, 2731, 11085, 2567, 30831, 20365, 242731}},
-{18370, 18, 83391, {1, 1, 1, 13, 13, 5, 21, 175, 265, 271, 133, 407, 3415, 5943, 15385, 12817, 106159, 41859}},
-{18371, 18, 83399, {1, 3, 7, 1, 11, 45, 105, 229, 395, 877, 1495, 2113, 1733, 10117, 1125, 9989, 109637, 124517}},
-{18372, 18, 83406, {1, 1, 7, 3, 27, 43, 57, 77, 63, 907, 1137, 3333, 189, 15285, 13895, 23773, 73523, 47811}},
-{18373, 18, 83427, {1, 3, 3, 11, 17, 19, 81, 197, 73, 897, 515, 3801, 5105, 6987, 10125, 7239, 32339, 124411}},
-{18374, 18, 83439, {1, 3, 1, 9, 11, 15, 99, 109, 307, 133, 249, 1463, 5479, 8565, 19489, 13773, 11443, 149799}},
-{18375, 18, 83444, {1, 3, 7, 7, 19, 53, 61, 75, 83, 545, 1449, 683, 5845, 8325, 18111, 35941, 51843, 97907}},
-{18376, 18, 83453, {1, 1, 1, 3, 31, 23, 37, 187, 207, 51, 439, 3095, 2217, 6393, 9117, 2779, 47331, 118275}},
-{18377, 18, 83457, {1, 1, 3, 9, 23, 17, 41, 37, 59, 281, 319, 1333, 6207, 2265, 4445, 50831, 115893, 120491}},
-{18378, 18, 83475, {1, 3, 1, 13, 27, 23, 25, 23, 187, 51, 1257, 379, 921, 3801, 24537, 59547, 34191, 184625}},
-{18379, 18, 83484, {1, 1, 5, 3, 23, 21, 23, 159, 163, 537, 1589, 2797, 8007, 6767, 31331, 20741, 119969, 174135}},
-{18380, 18, 83488, {1, 3, 1, 1, 13, 35, 73, 147, 491, 317, 69, 1069, 5413, 13973, 19741, 44717, 63263, 77145}},
-{18381, 18, 83493, {1, 3, 1, 15, 31, 41, 23, 79, 55, 863, 129, 2229, 3395, 1621, 6273, 44521, 100047, 42337}},
-{18382, 18, 83512, {1, 3, 7, 3, 7, 5, 79, 1, 191, 227, 1039, 2909, 1085, 3173, 29311, 13861, 124785, 212453}},
-{18383, 18, 83525, {1, 3, 1, 5, 13, 9, 99, 213, 61, 201, 889, 1171, 3981, 2091, 31679, 26643, 5611, 154339}},
-{18384, 18, 83535, {1, 3, 3, 7, 27, 49, 53, 77, 285, 441, 1669, 2157, 223, 1899, 2725, 36547, 39273, 206653}},
-{18385, 18, 83560, {1, 3, 3, 9, 29, 5, 91, 1, 13, 409, 1275, 891, 6557, 5157, 6481, 57381, 87683, 117277}},
-{18386, 18, 83617, {1, 3, 3, 1, 11, 7, 13, 69, 9, 1015, 907, 2685, 6665, 16307, 24567, 13191, 9567, 55073}},
-{18387, 18, 83664, {1, 3, 1, 5, 19, 15, 65, 13, 503, 427, 1947, 1869, 5857, 823, 20533, 25337, 83551, 128505}},
-{18388, 18, 83676, {1, 1, 5, 11, 25, 53, 83, 175, 445, 5, 841, 2773, 4381, 2829, 1927, 63689, 63643, 246629}},
-{18389, 18, 83757, {1, 3, 1, 11, 27, 63, 43, 95, 453, 235, 673, 117, 6617, 7589, 5767, 16465, 36961, 39395}},
-{18390, 18, 83770, {1, 1, 3, 13, 3, 27, 119, 87, 209, 167, 721, 1499, 1955, 9151, 11649, 29009, 25249, 26125}},
-{18391, 18, 83775, {1, 1, 5, 1, 9, 59, 47, 57, 81, 243, 485, 559, 7311, 15119, 9827, 47219, 5941, 16909}},
-{18392, 18, 83835, {1, 3, 7, 11, 29, 13, 97, 63, 289, 653, 1811, 835, 801, 13103, 9333, 7785, 111587, 10021}},
-{18393, 18, 83838, {1, 3, 3, 1, 27, 61, 73, 165, 279, 239, 865, 517, 7763, 1917, 9839, 20725, 50721, 171351}},
-{18394, 18, 83848, {1, 3, 7, 1, 27, 29, 43, 137, 353, 927, 889, 2511, 709, 3309, 967, 18119, 48099, 98139}},
-{18395, 18, 83856, {1, 3, 1, 1, 17, 5, 79, 23, 367, 231, 605, 3809, 7557, 14283, 18417, 15775, 107421, 9587}},
-{18396, 18, 83878, {1, 1, 1, 7, 25, 9, 93, 41, 165, 509, 661, 2165, 3595, 2555, 11399, 2403, 76179, 176003}},
-{18397, 18, 83884, {1, 3, 3, 7, 27, 19, 55, 213, 83, 601, 377, 2381, 6831, 5609, 31321, 26897, 105321, 144705}},
-{18398, 18, 83896, {1, 3, 7, 7, 21, 11, 45, 55, 379, 133, 653, 3593, 7481, 15789, 12723, 9697, 20073, 58211}},
-{18399, 18, 83902, {1, 3, 5, 1, 1, 57, 89, 159, 461, 719, 1251, 3899, 1063, 10753, 6509, 28391, 129377, 195279}},
-{18400, 18, 83922, {1, 3, 7, 7, 5, 39, 59, 81, 27, 169, 1541, 2213, 3631, 11601, 13153, 43221, 14587, 29719}},
-{18401, 18, 83977, {1, 1, 1, 1, 3, 29, 103, 125, 35, 455, 255, 3855, 567, 12013, 13285, 44753, 117415, 226285}},
-{18402, 18, 83985, {1, 1, 5, 1, 21, 41, 59, 69, 83, 813, 1041, 2559, 1947, 7343, 5291, 39281, 56141, 54487}},
-{18403, 18, 83988, {1, 1, 7, 15, 25, 17, 83, 115, 321, 659, 1625, 3253, 281, 6673, 26301, 45647, 92151, 150707}},
-{18404, 18, 84034, {1, 1, 5, 15, 9, 19, 83, 167, 325, 869, 501, 483, 2155, 14697, 12755, 54687, 100637, 6791}},
-{18405, 18, 84046, {1, 1, 7, 3, 3, 47, 91, 79, 347, 215, 847, 2957, 5881, 5371, 20099, 45603, 29349, 175357}},
-{18406, 18, 84058, {1, 3, 1, 3, 13, 43, 101, 235, 505, 289, 691, 673, 5579, 8721, 9639, 18569, 44797, 250887}},
-{18407, 18, 84069, {1, 1, 3, 11, 23, 27, 85, 223, 365, 767, 577, 2781, 4179, 12963, 25235, 51021, 84989, 149521}},
-{18408, 18, 84107, {1, 1, 1, 1, 9, 51, 13, 129, 393, 725, 1301, 1391, 4693, 4979, 16801, 21361, 122157, 56675}},
-{18409, 18, 84155, {1, 3, 5, 11, 7, 21, 97, 97, 17, 915, 255, 155, 3961, 7999, 7493, 52683, 49377, 131663}},
-{18410, 18, 84157, {1, 3, 5, 15, 31, 23, 41, 187, 89, 933, 309, 2519, 6595, 13785, 14339, 44393, 64439, 142105}},
-{18411, 18, 84160, {1, 1, 1, 11, 13, 57, 29, 249, 467, 863, 77, 3185, 6221, 13109, 32397, 13859, 27331, 35295}},
-{18412, 18, 84165, {1, 3, 3, 3, 23, 31, 29, 189, 405, 855, 1597, 3167, 4171, 13801, 12297, 38019, 130141, 135517}},
-{18413, 18, 84187, {1, 1, 5, 7, 13, 37, 87, 41, 503, 281, 103, 1997, 3603, 4185, 25331, 55123, 74263, 248695}},
-{18414, 18, 84214, {1, 3, 1, 15, 13, 57, 67, 135, 429, 489, 829, 2069, 7657, 15713, 3907, 5819, 114005, 187859}},
-{18415, 18, 84226, {1, 1, 3, 1, 23, 43, 93, 63, 5, 435, 1649, 1429, 2923, 9035, 28667, 13991, 74491, 236225}},
-{18416, 18, 84235, {1, 3, 3, 7, 19, 29, 37, 143, 443, 955, 1431, 3193, 6023, 2421, 28955, 29171, 126785, 124709}},
-{18417, 18, 84240, {1, 3, 7, 7, 23, 45, 59, 101, 25, 711, 1685, 851, 3101, 12273, 10775, 57633, 52739, 244681}},
-{18418, 18, 84255, {1, 1, 1, 5, 3, 13, 97, 143, 367, 139, 1535, 873, 8005, 2795, 11103, 3837, 125833, 194903}},
-{18419, 18, 84273, {1, 3, 5, 7, 23, 61, 61, 203, 443, 543, 573, 2835, 941, 12315, 18453, 34367, 94359, 132437}},
-{18420, 18, 84291, {1, 1, 7, 5, 11, 21, 87, 27, 495, 67, 1267, 2029, 5041, 4133, 18821, 50249, 52397, 101431}},
-{18421, 18, 84311, {1, 3, 3, 3, 13, 51, 89, 183, 61, 919, 1841, 373, 7091, 9413, 1227, 44515, 72869, 198769}},
-{18422, 18, 84317, {1, 3, 3, 11, 13, 63, 13, 253, 203, 571, 91, 3477, 123, 15353, 7803, 62729, 14337, 252725}},
-{18423, 18, 84328, {1, 1, 7, 1, 11, 57, 45, 251, 351, 895, 1813, 3857, 7545, 9739, 32029, 24915, 46261, 8149}},
-{18424, 18, 84346, {1, 3, 1, 15, 25, 41, 71, 47, 265, 567, 307, 4079, 1943, 10407, 2999, 6605, 97621, 194711}},
-{18425, 18, 84357, {1, 1, 3, 5, 17, 29, 97, 249, 449, 761, 1727, 1533, 7417, 16167, 421, 39075, 1029, 180923}},
-{18426, 18, 84361, {1, 1, 1, 3, 11, 27, 67, 227, 131, 453, 951, 3897, 515, 4513, 17361, 50049, 4533, 35953}},
-{18427, 18, 84372, {1, 1, 1, 13, 7, 53, 25, 163, 453, 195, 1115, 1019, 3799, 7489, 12419, 15141, 112001, 106459}},
-{18428, 18, 84388, {1, 1, 3, 9, 27, 15, 63, 109, 293, 867, 645, 1821, 2867, 9653, 32617, 39617, 125589, 249169}},
-{18429, 18, 84415, {1, 1, 7, 5, 19, 17, 15, 105, 65, 143, 961, 493, 7301, 11299, 4549, 49873, 82447, 107}},
-{18430, 18, 84438, {1, 1, 7, 1, 31, 21, 19, 61, 255, 815, 421, 3097, 4993, 9709, 11529, 53839, 32653, 137861}},
-{18431, 18, 84444, {1, 3, 1, 9, 5, 5, 59, 179, 115, 101, 407, 1143, 309, 843, 31143, 60639, 126659, 111695}},
-{18432, 18, 84447, {1, 3, 7, 13, 7, 47, 65, 127, 159, 817, 1029, 2983, 5443, 11087, 10595, 47143, 128353, 195189}},
-{18433, 18, 84451, {1, 3, 7, 1, 27, 21, 61, 235, 433, 929, 581, 1925, 8185, 6037, 28859, 16843, 43499, 217091}},
-{18434, 18, 84465, {1, 3, 7, 11, 1, 11, 81, 187, 227, 967, 25, 2285, 1251, 10743, 2321, 29029, 89739, 188023}},
-{18435, 18, 84471, {1, 3, 5, 11, 21, 25, 57, 201, 89, 965, 1593, 2879, 2469, 13675, 28789, 11407, 13109, 52749}},
-{18436, 18, 84496, {1, 3, 3, 3, 19, 25, 87, 3, 127, 881, 645, 207, 1129, 4235, 1533, 52503, 128733, 238679}},
-{18437, 18, 84554, {1, 3, 3, 1, 5, 5, 63, 181, 493, 457, 1529, 1795, 219, 10807, 26713, 49673, 47167, 103595}},
-{18438, 18, 84561, {1, 1, 3, 3, 1, 31, 65, 79, 473, 257, 1477, 387, 2843, 4031, 8459, 44849, 115157, 8417}},
-{18439, 18, 84571, {1, 3, 3, 5, 15, 1, 105, 67, 343, 333, 1961, 649, 5105, 11387, 27437, 35471, 26295, 220309}},
-{18440, 18, 84580, {1, 3, 7, 15, 1, 7, 23, 113, 67, 1019, 1793, 3237, 7223, 5691, 6279, 50231, 49393, 84393}},
-{18441, 18, 84598, {1, 1, 1, 7, 9, 29, 125, 249, 89, 813, 561, 871, 1957, 1095, 18563, 5257, 39563, 225651}},
-{18442, 18, 84611, {1, 1, 1, 15, 17, 11, 51, 191, 217, 617, 793, 3633, 4673, 15463, 10621, 47221, 51611, 155937}},
-{18443, 18, 84620, {1, 3, 7, 15, 13, 7, 63, 57, 45, 1005, 685, 2913, 3597, 9933, 14819, 26015, 80023, 60547}},
-{18444, 18, 84625, {1, 1, 5, 5, 31, 43, 69, 63, 425, 439, 143, 933, 675, 11301, 31779, 53445, 25143, 213213}},
-{18445, 18, 84632, {1, 1, 1, 5, 21, 9, 91, 89, 483, 153, 389, 7, 633, 15527, 21833, 45171, 88331, 150935}},
-{18446, 18, 84648, {1, 3, 5, 5, 11, 31, 49, 139, 295, 289, 1623, 3359, 7551, 11285, 25083, 27699, 91869, 237571}},
-{18447, 18, 84659, {1, 1, 1, 9, 9, 25, 55, 71, 51, 603, 1901, 2729, 6803, 11135, 5427, 37285, 69141, 262073}},
-{18448, 18, 84662, {1, 1, 3, 11, 3, 7, 81, 89, 49, 303, 755, 223, 603, 12525, 26037, 47867, 118871, 238677}},
-{18449, 18, 84683, {1, 3, 3, 11, 1, 53, 55, 15, 341, 151, 245, 1979, 3523, 15151, 25075, 21425, 48689, 125391}},
-{18450, 18, 84697, {1, 3, 3, 7, 15, 21, 73, 247, 215, 339, 1995, 633, 2557, 5625, 28443, 16413, 34615, 260591}},
-{18451, 18, 84698, {1, 3, 5, 1, 1, 59, 21, 247, 403, 15, 1129, 2263, 3361, 10675, 30417, 31285, 69913, 124329}},
-{18452, 18, 84709, {1, 1, 5, 1, 17, 3, 103, 107, 333, 191, 345, 3219, 3845, 5953, 26403, 51115, 71623, 52293}},
-{18453, 18, 84722, {1, 1, 7, 5, 29, 13, 59, 65, 185, 91, 717, 3179, 1237, 1187, 25485, 40119, 6069, 23567}},
-{18454, 18, 84753, {1, 1, 1, 5, 17, 57, 27, 39, 269, 627, 1239, 135, 623, 483, 19229, 51939, 114387, 146431}},
-{18455, 18, 84775, {1, 3, 7, 9, 21, 41, 119, 129, 177, 149, 1527, 3639, 4489, 11635, 23007, 59863, 85199, 87795}},
-{18456, 18, 84789, {1, 3, 5, 9, 17, 25, 57, 237, 129, 855, 199, 1929, 2793, 4277, 4509, 46301, 32905, 102015}},
-{18457, 18, 84885, {1, 1, 7, 1, 15, 23, 3, 131, 475, 347, 1301, 241, 153, 2801, 29271, 1337, 107613, 154105}},
-{18458, 18, 84890, {1, 1, 1, 13, 5, 19, 43, 47, 381, 709, 637, 2565, 7503, 10027, 16873, 23511, 101785, 47987}},
-{18459, 18, 84899, {1, 1, 5, 13, 31, 15, 125, 97, 361, 819, 121, 2723, 3395, 6943, 5279, 55977, 103559, 134177}},
-{18460, 18, 84926, {1, 1, 7, 13, 17, 27, 105, 11, 327, 203, 1355, 1437, 959, 10113, 7405, 43511, 114073, 199463}},
-{18461, 18, 84946, {1, 1, 7, 5, 29, 19, 7, 151, 107, 739, 1021, 1287, 6881, 2741, 3407, 13847, 75669, 116015}},
-{18462, 18, 84958, {1, 1, 1, 5, 5, 17, 99, 67, 179, 319, 149, 4069, 7811, 3055, 24669, 21635, 68057, 72059}},
-{18463, 18, 84976, {1, 3, 1, 11, 3, 3, 103, 45, 431, 159, 1693, 1069, 3403, 6121, 12695, 16565, 29787, 199327}},
-{18464, 18, 84979, {1, 1, 5, 5, 5, 35, 97, 9, 7, 703, 1533, 847, 7693, 16041, 13127, 26829, 68801, 205219}},
-{18465, 18, 85003, {1, 1, 5, 9, 25, 59, 3, 63, 305, 71, 1429, 1567, 2377, 12611, 9267, 62381, 32373, 187735}},
-{18466, 18, 85014, {1, 1, 3, 15, 5, 31, 21, 113, 329, 573, 1975, 1615, 947, 987, 4655, 46803, 100251, 89729}},
-{18467, 18, 85017, {1, 1, 5, 9, 15, 63, 83, 5, 71, 191, 1127, 3529, 7325, 1169, 4255, 6715, 42765, 73231}},
-{18468, 18, 85024, {1, 3, 3, 9, 11, 1, 1, 23, 97, 967, 1465, 1305, 2073, 3143, 31333, 1409, 95321, 182333}},
-{18469, 18, 85029, {1, 3, 5, 13, 21, 53, 47, 105, 75, 721, 239, 3619, 2581, 2063, 21227, 25579, 23729, 20067}},
-{18470, 18, 85036, {1, 3, 5, 13, 1, 55, 55, 115, 391, 539, 869, 3347, 189, 11087, 11533, 18747, 25387, 19205}},
-{18471, 18, 85042, {1, 3, 1, 15, 25, 57, 81, 27, 379, 635, 1697, 2805, 8071, 11407, 14843, 17593, 20819, 42891}},
-{18472, 18, 85054, {1, 3, 5, 11, 1, 59, 51, 187, 11, 211, 1425, 3829, 3193, 15743, 16479, 4205, 108205, 205367}},
-{18473, 18, 85056, {1, 1, 1, 5, 7, 7, 59, 85, 63, 509, 897, 2473, 7345, 111, 4431, 55273, 114037, 232541}},
-{18474, 18, 85061, {1, 1, 5, 9, 29, 7, 25, 41, 401, 843, 115, 163, 6835, 13943, 5223, 31033, 10813, 250471}},
-{18475, 18, 85066, {1, 1, 5, 11, 27, 45, 43, 233, 195, 151, 11, 1539, 4775, 15743, 15507, 26939, 30353, 162929}},
-{18476, 18, 85073, {1, 3, 1, 7, 7, 39, 1, 87, 85, 1019, 1711, 2707, 735, 5093, 8231, 25069, 102861, 45751}},
-{18477, 18, 85096, {1, 3, 7, 1, 19, 49, 55, 249, 255, 809, 1799, 3475, 7697, 5003, 12437, 52313, 96355, 138537}},
-{18478, 18, 85101, {1, 1, 3, 5, 5, 43, 25, 95, 349, 775, 213, 3643, 1355, 7745, 9553, 53367, 123655, 195365}},
-{18479, 18, 85109, {1, 1, 1, 1, 19, 53, 39, 105, 449, 447, 147, 2293, 7817, 1503, 31985, 37193, 51039, 209083}},
-{18480, 18, 85114, {1, 3, 3, 15, 27, 15, 59, 51, 411, 543, 421, 3595, 2091, 7171, 23595, 33509, 37283, 105719}},
-{18481, 18, 85119, {1, 3, 1, 11, 5, 37, 5, 203, 171, 853, 1875, 2735, 4003, 15163, 26193, 36149, 31389, 256631}},
-{18482, 18, 85123, {1, 3, 5, 1, 21, 1, 127, 41, 185, 929, 1757, 2711, 2947, 9709, 18401, 45037, 1371, 242397}},
-{18483, 18, 85149, {1, 1, 1, 1, 13, 43, 51, 187, 487, 759, 1579, 959, 2499, 4781, 27179, 6839, 43869, 36163}},
-{18484, 18, 85185, {1, 3, 1, 15, 5, 3, 101, 25, 181, 107, 1105, 879, 5341, 12215, 21615, 9619, 129591, 108393}},
-{18485, 18, 85228, {1, 1, 7, 1, 11, 39, 55, 101, 43, 935, 1703, 1269, 6751, 13723, 7463, 10055, 112971, 72789}},
-{18486, 18, 85236, {1, 3, 5, 13, 7, 3, 81, 41, 55, 375, 663, 801, 5051, 14583, 30793, 63897, 127255, 174179}},
-{18487, 18, 85281, {1, 3, 1, 7, 19, 31, 53, 29, 313, 57, 1411, 103, 6863, 10673, 4341, 5587, 106059, 222309}},
-{18488, 18, 85282, {1, 3, 7, 3, 1, 33, 89, 199, 91, 557, 715, 2715, 4753, 5987, 30355, 13819, 57443, 112179}},
-{18489, 18, 85293, {1, 3, 5, 7, 13, 27, 55, 11, 495, 29, 1273, 1727, 3397, 2739, 22907, 46203, 16687, 47385}},
-{18490, 18, 85302, {1, 3, 5, 9, 13, 23, 23, 107, 353, 429, 359, 2667, 6137, 7213, 7977, 35903, 118507, 209243}},
-{18491, 18, 85319, {1, 3, 1, 13, 9, 7, 37, 135, 377, 753, 1819, 113, 7379, 2795, 10373, 7131, 17845, 246101}},
-{18492, 18, 85353, {1, 1, 3, 11, 11, 45, 53, 209, 49, 385, 1573, 1129, 2939, 10949, 413, 59193, 15399, 169355}},
-{18493, 18, 85354, {1, 1, 5, 15, 29, 29, 89, 139, 403, 11, 1335, 2601, 3631, 15317, 1707, 3517, 1939, 121997}},
-{18494, 18, 85356, {1, 3, 1, 7, 17, 3, 113, 97, 435, 911, 1743, 1649, 4829, 9995, 2873, 17527, 46931, 86199}},
-{18495, 18, 85389, {1, 1, 7, 1, 13, 19, 83, 51, 49, 671, 1651, 3443, 2279, 5677, 8859, 41945, 110607, 200469}},
-{18496, 18, 85418, {1, 1, 5, 13, 19, 63, 19, 73, 205, 571, 507, 1781, 1489, 5909, 10351, 64607, 67023, 49441}},
-{18497, 18, 85446, {1, 1, 3, 5, 13, 35, 107, 63, 489, 69, 1541, 3761, 17, 9317, 20323, 35401, 61451, 116115}},
-{18498, 18, 85450, {1, 3, 1, 5, 31, 35, 39, 119, 237, 533, 107, 3235, 4929, 15839, 9309, 50131, 110945, 24739}},
-{18499, 18, 85463, {1, 3, 1, 5, 3, 25, 73, 145, 391, 481, 1927, 3071, 4347, 13415, 26723, 51629, 3003, 54575}},
-{18500, 18, 85497, {1, 3, 3, 11, 29, 63, 63, 183, 11, 269, 153, 3379, 5603, 14279, 28579, 4653, 98179, 125693}},
-{18501, 18, 85534, {1, 1, 5, 15, 1, 51, 101, 69, 177, 233, 213, 2389, 4963, 3391, 13419, 41283, 25667, 187239}},
-{18502, 18, 85543, {1, 1, 1, 11, 13, 29, 95, 231, 481, 283, 1323, 521, 4689, 5311, 21949, 31851, 115845, 50433}},
-{18503, 18, 85549, {1, 3, 7, 15, 11, 31, 67, 207, 57, 439, 1561, 2167, 673, 6467, 8189, 31783, 5051, 64097}},
-{18504, 18, 85562, {1, 1, 7, 9, 17, 57, 77, 85, 119, 149, 211, 2727, 4921, 8701, 23121, 36355, 9179, 68003}},
-{18505, 18, 85587, {1, 1, 5, 15, 1, 15, 123, 205, 79, 299, 71, 3413, 7635, 5699, 32393, 10253, 86205, 216015}},
-{18506, 18, 85590, {1, 1, 5, 11, 23, 39, 105, 187, 487, 247, 333, 2423, 5643, 8111, 23549, 50153, 122859, 100361}},
-{18507, 18, 85599, {1, 1, 1, 9, 11, 33, 65, 125, 67, 743, 1331, 1563, 6333, 11375, 15873, 18137, 52765, 224889}},
-{18508, 18, 85630, {1, 3, 5, 9, 15, 17, 81, 165, 3, 609, 635, 2093, 6635, 8647, 25883, 18907, 73333, 80835}},
-{18509, 18, 85660, {1, 1, 1, 11, 1, 1, 25, 115, 205, 941, 1917, 1295, 3659, 821, 11355, 1435, 40289, 115627}},
-{18510, 18, 85669, {1, 3, 1, 9, 13, 23, 35, 105, 441, 777, 1255, 3315, 1157, 8719, 9939, 38931, 120723, 123201}},
-{18511, 18, 85693, {1, 1, 5, 3, 1, 21, 95, 143, 23, 233, 73, 1223, 5619, 8583, 21417, 61971, 74565, 116249}},
-{18512, 18, 85711, {1, 1, 7, 7, 23, 35, 21, 201, 441, 623, 419, 2375, 1189, 15681, 29469, 29437, 124525, 241899}},
-{18513, 18, 85716, {1, 1, 3, 1, 11, 7, 23, 171, 435, 467, 1811, 63, 3705, 9395, 579, 58305, 86165, 67805}},
-{18514, 18, 85773, {1, 3, 1, 3, 13, 11, 107, 243, 163, 79, 815, 1149, 2247, 12411, 30287, 56915, 26939, 85883}},
-{18515, 18, 85801, {1, 3, 3, 1, 5, 23, 105, 63, 35, 57, 1815, 3325, 3727, 3623, 7203, 8301, 28073, 190053}},
-{18516, 18, 85815, {1, 3, 1, 11, 23, 33, 121, 55, 287, 139, 491, 907, 4237, 17, 20055, 63729, 7517, 151597}},
-{18517, 18, 85839, {1, 3, 5, 5, 21, 1, 37, 19, 159, 1013, 27, 2627, 851, 14021, 31311, 5871, 77613, 125311}},
-{18518, 18, 85842, {1, 3, 3, 1, 27, 3, 51, 133, 459, 581, 383, 1351, 6149, 15611, 2631, 20797, 65955, 113665}},
-{18519, 18, 85864, {1, 3, 1, 11, 23, 61, 75, 217, 283, 405, 767, 1151, 7501, 5553, 113, 48331, 49379, 191473}},
-{18520, 18, 85867, {1, 3, 5, 5, 15, 3, 19, 27, 497, 519, 1611, 709, 405, 13329, 27861, 14981, 47197, 173979}},
-{18521, 18, 85903, {1, 1, 7, 7, 25, 19, 99, 219, 349, 713, 1421, 3427, 153, 13319, 22415, 48617, 119637, 20835}},
-{18522, 18, 85917, {1, 1, 1, 3, 13, 37, 43, 9, 317, 961, 1255, 2975, 2775, 12283, 29941, 57495, 77413, 256695}},
-{18523, 18, 85921, {1, 1, 7, 5, 29, 37, 91, 199, 397, 739, 877, 251, 847, 2951, 19497, 57285, 76891, 258711}},
-{18524, 18, 85928, {1, 1, 7, 15, 21, 55, 107, 115, 481, 845, 2015, 481, 3823, 14071, 4037, 39687, 62867, 170891}},
-{18525, 18, 85934, {1, 3, 3, 1, 17, 51, 81, 195, 189, 455, 1343, 1493, 351, 361, 20289, 37423, 7747, 245861}},
-{18526, 18, 85974, {1, 1, 5, 15, 9, 41, 71, 155, 197, 563, 1271, 2227, 2557, 6657, 13565, 8467, 96135, 5903}},
-{18527, 18, 85994, {1, 1, 5, 13, 29, 33, 115, 131, 283, 435, 1327, 1113, 4729, 14125, 23743, 40121, 119955, 237453}},
-{18528, 18, 85999, {1, 1, 1, 1, 13, 21, 109, 91, 105, 749, 1695, 1123, 4349, 9855, 31565, 64001, 7919, 83591}},
-{18529, 18, 86004, {1, 3, 1, 1, 13, 19, 89, 83, 13, 609, 731, 2655, 1123, 13415, 5645, 10003, 69381, 187621}},
-{18530, 18, 86008, {1, 3, 1, 15, 3, 37, 1, 139, 11, 917, 1191, 1381, 6035, 13851, 4565, 5427, 117703, 109965}},
-{18531, 18, 86046, {1, 1, 5, 3, 17, 37, 15, 115, 19, 65, 1807, 3879, 2709, 9819, 11457, 53705, 14821, 156079}},
-{18532, 18, 86067, {1, 1, 7, 13, 17, 29, 105, 77, 127, 457, 1287, 1533, 6879, 4001, 4083, 29523, 81175, 226409}},
-{18533, 18, 86084, {1, 3, 1, 5, 5, 59, 21, 253, 459, 733, 409, 3359, 1913, 8893, 16113, 61063, 6511, 22441}},
-{18534, 18, 86087, {1, 3, 5, 11, 7, 1, 121, 217, 63, 83, 173, 1869, 7931, 655, 21053, 20703, 116853, 131785}},
-{18535, 18, 86093, {1, 1, 7, 7, 5, 13, 41, 57, 1, 17, 649, 233, 2867, 5577, 30553, 7635, 45305, 47979}},
-{18536, 18, 86121, {1, 1, 7, 1, 1, 29, 61, 241, 107, 891, 49, 3433, 5045, 143, 22473, 29243, 82625, 184163}},
-{18537, 18, 86122, {1, 3, 1, 11, 11, 21, 119, 43, 117, 429, 1569, 637, 67, 9475, 31779, 2237, 122037, 245361}},
-{18538, 18, 86127, {1, 1, 7, 1, 31, 61, 9, 179, 467, 153, 1913, 2839, 6255, 12715, 28229, 20189, 3617, 213539}},
-{18539, 18, 86151, {1, 1, 7, 13, 25, 61, 9, 109, 331, 577, 21, 1017, 6521, 5991, 26573, 56881, 58455, 169407}},
-{18540, 18, 86166, {1, 1, 7, 9, 31, 57, 51, 41, 327, 859, 1295, 1577, 1071, 3277, 11685, 62129, 34111, 174639}},
-{18541, 18, 86179, {1, 3, 5, 1, 7, 63, 35, 165, 43, 943, 1545, 3717, 1471, 11579, 29637, 22913, 8867, 12837}},
-{18542, 18, 86188, {1, 1, 3, 1, 23, 7, 19, 151, 359, 347, 1085, 3923, 1039, 5149, 6047, 49811, 33099, 247983}},
-{18543, 18, 86193, {1, 1, 1, 5, 29, 23, 73, 189, 59, 865, 1499, 1953, 1261, 1071, 26761, 26145, 129427, 223219}},
-{18544, 18, 86206, {1, 3, 1, 9, 1, 29, 107, 173, 387, 703, 193, 1965, 6233, 10997, 32697, 31005, 15415, 94345}},
-{18545, 18, 86214, {1, 1, 3, 9, 31, 35, 7, 15, 317, 79, 2045, 1455, 1559, 15087, 287, 46665, 37225, 149017}},
-{18546, 18, 86226, {1, 1, 5, 13, 17, 27, 11, 107, 47, 803, 1487, 3049, 1171, 6237, 9157, 10037, 122349, 236877}},
-{18547, 18, 86242, {1, 1, 7, 9, 21, 35, 53, 139, 165, 73, 1405, 2941, 3553, 11945, 2493, 5743, 63749, 140535}},
-{18548, 18, 86256, {1, 3, 7, 11, 7, 57, 41, 187, 483, 499, 687, 117, 4951, 14709, 17025, 23027, 94863, 228465}},
-{18549, 18, 86259, {1, 3, 7, 7, 27, 29, 85, 117, 201, 637, 823, 1135, 7595, 3323, 23579, 40759, 25087, 995}},
-{18550, 18, 86298, {1, 3, 1, 9, 31, 53, 101, 29, 381, 101, 1939, 1973, 8191, 8155, 13881, 32309, 92907, 239525}},
-{18551, 18, 86300, {1, 1, 5, 7, 3, 35, 15, 207, 1, 47, 325, 559, 3377, 3909, 31225, 28367, 63891, 19129}},
-{18552, 18, 86307, {1, 1, 1, 5, 31, 61, 117, 211, 127, 969, 73, 1295, 7167, 14881, 9965, 28143, 28161, 131867}},
-{18553, 18, 86310, {1, 3, 7, 5, 5, 57, 37, 207, 201, 79, 1151, 3685, 2071, 1751, 5481, 51447, 103437, 154895}},
-{18554, 18, 86319, {1, 3, 5, 13, 9, 5, 57, 27, 131, 211, 1481, 2237, 4227, 6927, 18625, 49773, 55399, 15209}},
-{18555, 18, 86321, {1, 3, 1, 7, 23, 29, 3, 179, 479, 787, 463, 2041, 2581, 6281, 1657, 51433, 93807, 160047}},
-{18556, 18, 86328, {1, 1, 3, 13, 25, 35, 33, 231, 385, 479, 335, 3837, 5517, 13603, 15623, 46737, 42507, 208355}},
-{18557, 18, 86356, {1, 1, 7, 9, 3, 25, 51, 125, 213, 175, 1575, 1755, 1843, 14361, 13155, 22445, 55435, 62793}},
-{18558, 18, 86360, {1, 1, 1, 7, 25, 3, 21, 7, 309, 547, 19, 471, 2679, 16185, 12149, 41437, 47625, 75113}},
-{18559, 18, 86375, {1, 1, 5, 1, 9, 23, 81, 95, 123, 143, 1111, 9, 3501, 11897, 26499, 10009, 48073, 182529}},
-{18560, 18, 86399, {1, 3, 1, 1, 1, 17, 15, 157, 129, 1005, 543, 3917, 3493, 6537, 26997, 33217, 7987, 251635}},
-{18561, 18, 86400, {1, 3, 1, 13, 11, 41, 9, 19, 173, 751, 491, 1645, 5205, 9907, 28503, 61137, 79727, 200851}},
-{18562, 18, 86403, {1, 1, 1, 1, 3, 5, 105, 203, 97, 903, 1507, 2719, 5275, 1023, 29595, 42507, 39893, 151495}},
-{18563, 18, 86430, {1, 1, 1, 11, 31, 53, 51, 65, 145, 671, 489, 109, 803, 8541, 4439, 33893, 98495, 114955}},
-{18564, 18, 86446, {1, 1, 7, 11, 27, 63, 117, 235, 497, 841, 1461, 3757, 1077, 6997, 9611, 47453, 20197, 176939}},
-{18565, 18, 86460, {1, 3, 3, 3, 31, 17, 85, 145, 377, 225, 1033, 3017, 735, 5811, 25503, 25457, 124623, 51713}},
-{18566, 18, 86465, {1, 3, 3, 13, 19, 33, 127, 57, 321, 687, 1651, 3321, 5051, 8511, 19609, 49927, 30499, 102613}},
-{18567, 18, 86486, {1, 1, 5, 13, 7, 17, 17, 147, 381, 137, 1007, 2607, 1071, 8921, 13955, 47223, 130359, 246265}},
-{18568, 18, 86502, {1, 3, 7, 9, 13, 35, 71, 129, 57, 233, 357, 3181, 2841, 3707, 24947, 57777, 115133, 6049}},
-{18569, 18, 86563, {1, 3, 7, 15, 23, 1, 107, 225, 57, 633, 1515, 1631, 4303, 4221, 8281, 59139, 45023, 70219}},
-{18570, 18, 86595, {1, 1, 7, 5, 9, 9, 93, 131, 41, 245, 1261, 459, 4811, 10987, 10421, 63839, 34067, 196353}},
-{18571, 18, 86635, {1, 3, 3, 13, 17, 3, 87, 255, 167, 701, 821, 1965, 1415, 4101, 549, 6347, 92421, 47193}},
-{18572, 18, 86649, {1, 3, 7, 11, 23, 17, 51, 81, 71, 345, 971, 917, 1057, 3627, 20361, 13491, 12855, 234215}},
-{18573, 18, 86661, {1, 1, 1, 13, 17, 9, 25, 155, 463, 851, 243, 3887, 2445, 7459, 19915, 21813, 86969, 85891}},
-{18574, 18, 86674, {1, 1, 7, 1, 9, 15, 57, 201, 193, 169, 351, 1355, 1089, 4705, 15153, 51359, 49907, 66007}},
-{18575, 18, 86689, {1, 3, 1, 9, 19, 13, 69, 83, 39, 667, 1549, 1503, 7167, 8657, 17269, 59357, 80091, 194007}},
-{18576, 18, 86721, {1, 3, 5, 5, 17, 37, 125, 117, 355, 685, 637, 3159, 4783, 3159, 14953, 12731, 126759, 89149}},
-{18577, 18, 86734, {1, 3, 3, 9, 15, 53, 7, 41, 473, 857, 511, 3741, 6837, 6167, 26351, 9885, 104819, 48221}},
-{18578, 18, 86741, {1, 3, 7, 15, 21, 21, 21, 101, 465, 223, 13, 1773, 2763, 8621, 23591, 12633, 82143, 134899}},
-{18579, 18, 86742, {1, 3, 1, 1, 29, 25, 67, 19, 349, 503, 655, 3567, 97, 6967, 18253, 42755, 33041, 250279}},
-{18580, 18, 86784, {1, 1, 7, 9, 17, 1, 7, 165, 255, 613, 579, 127, 7567, 13181, 6255, 1785, 21527, 113815}},
-{18581, 18, 86799, {1, 3, 1, 5, 27, 33, 61, 235, 37, 135, 1515, 3611, 1825, 9627, 18805, 37065, 126107, 23223}},
-{18582, 18, 86808, {1, 3, 7, 5, 23, 11, 29, 121, 129, 311, 429, 1653, 5789, 7693, 18775, 18189, 97203, 213501}},
-{18583, 18, 86837, {1, 3, 7, 3, 29, 61, 87, 197, 43, 509, 5, 3275, 345, 7885, 4381, 22059, 1395, 40125}},
-{18584, 18, 86869, {1, 3, 5, 1, 1, 59, 69, 125, 297, 983, 641, 2665, 7045, 8591, 16581, 58657, 119189, 256579}},
-{18585, 18, 86900, {1, 3, 7, 7, 7, 53, 65, 181, 149, 987, 1377, 4045, 971, 9827, 17727, 59357, 90975, 27395}},
-{18586, 18, 86949, {1, 1, 7, 7, 1, 51, 109, 165, 361, 515, 739, 3709, 6431, 113, 21401, 41743, 53071, 134205}},
-{18587, 18, 86993, {1, 3, 1, 13, 5, 51, 107, 99, 135, 163, 1705, 1683, 6221, 1377, 2211, 13379, 22801, 208753}},
-{18588, 18, 86999, {1, 3, 5, 11, 11, 39, 49, 45, 503, 549, 821, 4077, 885, 13721, 29673, 28435, 6235, 212071}},
-{18589, 18, 87030, {1, 3, 3, 11, 15, 25, 17, 67, 125, 7, 1163, 973, 5325, 12707, 12763, 9481, 21363, 195897}},
-{18590, 18, 87041, {1, 1, 7, 9, 17, 19, 15, 13, 107, 919, 461, 343, 1101, 8195, 29293, 61643, 64995, 230469}},
-{18591, 18, 87044, {1, 3, 5, 1, 9, 25, 39, 65, 27, 461, 669, 2841, 7973, 11565, 9531, 52235, 6741, 215513}},
-{18592, 18, 87084, {1, 3, 3, 1, 7, 57, 101, 199, 37, 79, 2033, 1723, 6877, 2733, 26445, 62625, 21671, 238431}},
-{18593, 18, 87116, {1, 1, 1, 9, 27, 31, 125, 199, 331, 611, 523, 407, 747, 9499, 4685, 17805, 43717, 253233}},
-{18594, 18, 87138, {1, 1, 3, 7, 29, 7, 7, 153, 339, 337, 701, 2639, 6311, 6375, 26023, 27693, 59733, 260405}},
-{18595, 18, 87162, {1, 1, 7, 7, 15, 27, 23, 49, 181, 433, 485, 2915, 6021, 9095, 15951, 47257, 104513, 208089}},
-{18596, 18, 87188, {1, 1, 5, 7, 19, 19, 125, 153, 109, 829, 1967, 2567, 7157, 6001, 10151, 55323, 92405, 82549}},
-{18597, 18, 87211, {1, 1, 3, 11, 13, 17, 85, 215, 265, 875, 311, 3773, 8059, 2115, 19259, 63999, 77411, 220267}},
-{18598, 18, 87234, {1, 3, 1, 15, 15, 35, 81, 213, 411, 435, 105, 1487, 1991, 14539, 8175, 2115, 47259, 45893}},
-{18599, 18, 87245, {1, 3, 1, 11, 9, 47, 27, 115, 449, 521, 321, 2463, 1355, 5785, 11269, 45337, 29049, 91675}},
-{18600, 18, 87246, {1, 3, 1, 13, 21, 53, 49, 83, 373, 519, 757, 1241, 577, 14443, 449, 44773, 116673, 155209}},
-{18601, 18, 87260, {1, 3, 3, 1, 29, 63, 97, 145, 371, 585, 1809, 3997, 249, 283, 28369, 27325, 61673, 12637}},
-{18602, 18, 87270, {1, 3, 5, 9, 11, 55, 77, 89, 285, 297, 861, 2791, 3245, 15093, 32489, 40477, 97603, 35347}},
-{18603, 18, 87284, {1, 1, 1, 3, 27, 33, 115, 209, 169, 893, 393, 1457, 6069, 12511, 20423, 11385, 86711, 197555}},
-{18604, 18, 87293, {1, 3, 5, 15, 21, 25, 87, 159, 477, 177, 991, 495, 29, 9347, 9721, 4071, 30145, 214155}},
-{18605, 18, 87296, {1, 1, 5, 3, 11, 45, 53, 251, 177, 651, 549, 3377, 3247, 8761, 20339, 27743, 103387, 159591}},
-{18606, 18, 87299, {1, 3, 7, 11, 17, 27, 43, 179, 507, 553, 261, 3939, 6133, 6347, 12987, 46071, 42551, 99225}},
-{18607, 18, 87305, {1, 3, 3, 11, 3, 33, 85, 51, 277, 117, 1295, 2435, 1467, 13787, 2209, 52673, 53515, 157625}},
-{18608, 18, 87308, {1, 3, 3, 3, 9, 15, 121, 229, 227, 795, 541, 3727, 4333, 2251, 27833, 43567, 82505, 230427}},
-{18609, 18, 87313, {1, 1, 5, 13, 29, 19, 119, 63, 207, 945, 761, 2601, 1391, 8939, 11683, 52433, 63301, 82501}},
-{18610, 18, 87323, {1, 3, 7, 1, 3, 57, 127, 115, 209, 31, 1631, 347, 3937, 4015, 13313, 49507, 15103, 237071}},
-{18611, 18, 87332, {1, 3, 1, 13, 3, 25, 85, 151, 115, 385, 303, 2453, 2417, 8051, 1447, 59517, 3711, 160345}},
-{18612, 18, 87361, {1, 3, 1, 13, 1, 23, 49, 75, 117, 295, 1737, 2091, 6229, 3157, 32737, 13751, 101667, 96261}},
-{18613, 18, 87376, {1, 3, 3, 5, 27, 19, 103, 201, 65, 757, 1847, 239, 2185, 15139, 8883, 17737, 9207, 147663}},
-{18614, 18, 87392, {1, 3, 1, 9, 3, 39, 51, 1, 419, 929, 1049, 2891, 2585, 2759, 27587, 55711, 15461, 46851}},
-{18615, 18, 87419, {1, 1, 5, 3, 23, 23, 23, 101, 249, 997, 1889, 2293, 5693, 939, 29619, 2775, 49293, 168895}},
-{18616, 18, 87432, {1, 3, 1, 15, 9, 63, 17, 97, 385, 517, 1737, 713, 157, 2597, 20889, 35209, 47525, 14389}},
-{18617, 18, 87435, {1, 3, 1, 1, 7, 27, 9, 147, 349, 493, 341, 2699, 7743, 4283, 24691, 11881, 78619, 153899}},
-{18618, 18, 87445, {1, 3, 1, 9, 15, 25, 103, 177, 485, 355, 1319, 767, 6675, 3425, 7187, 53767, 92023, 151523}},
-{18619, 18, 87466, {1, 1, 3, 3, 15, 35, 25, 177, 295, 5, 661, 3651, 2597, 16229, 1343, 54941, 72047, 169155}},
-{18620, 18, 87491, {1, 1, 1, 1, 19, 29, 63, 229, 79, 551, 1401, 2851, 6935, 12485, 9243, 21671, 54209, 105347}},
-{18621, 18, 87503, {1, 1, 3, 1, 13, 33, 53, 125, 261, 623, 65, 3863, 1899, 2453, 16483, 48655, 50771, 248555}},
-{18622, 18, 87558, {1, 3, 5, 7, 25, 15, 107, 149, 485, 247, 1977, 3125, 4663, 4925, 15749, 39429, 52315, 30545}},
-{18623, 18, 87570, {1, 1, 7, 13, 23, 13, 127, 111, 9, 17, 1887, 1341, 3017, 14333, 6003, 35113, 14935, 17593}},
-{18624, 18, 87581, {1, 1, 1, 15, 23, 17, 111, 43, 71, 549, 1369, 1711, 3903, 13605, 14573, 18973, 28157, 128421}},
-{18625, 18, 87603, {1, 1, 7, 15, 27, 23, 5, 99, 87, 865, 1979, 3287, 3977, 14989, 17439, 14593, 92711, 211259}},
-{18626, 18, 87615, {1, 3, 3, 15, 5, 19, 3, 231, 127, 863, 1537, 369, 7915, 10281, 13925, 12931, 3905, 178609}},
-{18627, 18, 87623, {1, 1, 3, 15, 13, 5, 17, 217, 383, 251, 1701, 3379, 8157, 4991, 8563, 24611, 66081, 205775}},
-{18628, 18, 87635, {1, 3, 7, 11, 9, 25, 73, 131, 217, 601, 843, 807, 4509, 16209, 29581, 50869, 56595, 14283}},
-{18629, 18, 87647, {1, 3, 5, 9, 5, 59, 57, 153, 359, 775, 859, 1897, 6415, 7389, 10851, 64247, 21627, 145017}},
-{18630, 18, 87651, {1, 3, 7, 1, 27, 11, 117, 179, 175, 343, 687, 2775, 3655, 11655, 2641, 355, 83447, 237799}},
-{18631, 18, 87657, {1, 1, 7, 11, 17, 59, 91, 21, 403, 797, 1839, 525, 3279, 6575, 30083, 12503, 83057, 109465}},
-{18632, 18, 87665, {1, 3, 7, 1, 25, 27, 41, 223, 169, 679, 699, 3287, 6305, 6459, 23145, 45519, 127487, 183563}},
-{18633, 18, 87694, {1, 3, 3, 1, 9, 45, 105, 57, 185, 97, 899, 3113, 7081, 7057, 14559, 53537, 105623, 155399}},
-{18634, 18, 87701, {1, 3, 7, 5, 17, 35, 89, 13, 87, 587, 451, 4079, 1005, 4311, 15861, 49977, 59653, 12107}},
-{18635, 18, 87705, {1, 3, 7, 3, 19, 55, 43, 77, 317, 369, 71, 937, 1905, 5005, 17715, 4005, 55445, 25159}},
-{18636, 18, 87722, {1, 1, 7, 15, 15, 51, 87, 37, 59, 755, 763, 455, 711, 13399, 30999, 61269, 66037, 202793}},
-{18637, 18, 87739, {1, 1, 3, 5, 11, 57, 111, 135, 325, 553, 273, 1533, 3431, 6427, 24771, 42143, 56711, 220873}},
-{18638, 18, 87750, {1, 1, 1, 13, 3, 49, 53, 81, 491, 177, 1543, 1847, 7907, 7817, 15417, 9897, 101597, 160195}},
-{18639, 18, 87790, {1, 3, 1, 15, 19, 15, 91, 123, 365, 113, 129, 3371, 5789, 13553, 6887, 62317, 84269, 44777}},
-{18640, 18, 87795, {1, 3, 7, 13, 15, 63, 43, 175, 449, 437, 597, 1371, 5101, 13797, 28025, 15809, 7645, 21169}},
-{18641, 18, 87797, {1, 1, 7, 13, 23, 63, 105, 69, 219, 153, 1539, 1537, 6899, 9363, 27459, 34551, 62563, 236679}},
-{18642, 18, 87816, {1, 3, 7, 3, 9, 33, 3, 101, 135, 571, 127, 3881, 7017, 13403, 13817, 55167, 8645, 471}},
-{18643, 18, 87884, {1, 3, 3, 13, 7, 53, 29, 89, 473, 135, 639, 3137, 93, 965, 4867, 58265, 114963, 175295}},
-{18644, 18, 87917, {1, 3, 1, 1, 9, 11, 45, 123, 129, 441, 1601, 39, 4657, 3701, 29581, 16045, 57173, 75195}},
-{18645, 18, 87930, {1, 1, 3, 11, 7, 21, 9, 73, 25, 891, 1625, 3019, 223, 14351, 30621, 3075, 79051, 178127}},
-{18646, 18, 87942, {1, 1, 7, 3, 7, 43, 69, 209, 9, 857, 1539, 2629, 5277, 14583, 16443, 28275, 54143, 206479}},
-{18647, 18, 87953, {1, 3, 5, 9, 27, 15, 109, 237, 323, 103, 837, 597, 3609, 6249, 795, 37191, 20997, 142079}},
-{18648, 18, 87954, {1, 1, 3, 1, 27, 33, 123, 191, 55, 531, 1707, 2633, 6717, 9645, 21377, 51593, 9017, 178185}},
-{18649, 18, 87984, {1, 1, 5, 15, 3, 3, 67, 225, 229, 161, 2039, 1499, 873, 8803, 29901, 58809, 35625, 207797}},
-{18650, 18, 87989, {1, 3, 3, 7, 3, 47, 99, 237, 221, 31, 1043, 1081, 837, 1617, 17323, 43879, 55615, 238537}},
-{18651, 18, 88008, {1, 3, 7, 1, 17, 37, 45, 211, 245, 657, 221, 1067, 1683, 16127, 585, 9067, 25935, 162469}},
-{18652, 18, 88016, {1, 1, 5, 9, 23, 27, 5, 237, 137, 227, 129, 279, 4171, 5963, 349, 12387, 40701, 177255}},
-{18653, 18, 88038, {1, 3, 7, 15, 17, 11, 95, 69, 49, 901, 509, 2541, 3001, 15501, 24235, 39863, 95381, 260793}},
-{18654, 18, 88042, {1, 3, 3, 3, 29, 3, 125, 3, 423, 609, 1401, 2337, 1093, 11419, 29735, 9033, 115977, 210201}},
-{18655, 18, 88044, {1, 1, 1, 9, 11, 21, 71, 33, 399, 1005, 1691, 1501, 2585, 7361, 21527, 7535, 87091, 192319}},
-{18656, 18, 88049, {1, 1, 1, 11, 5, 49, 65, 115, 239, 255, 381, 2803, 3447, 5775, 18243, 16545, 108901, 81355}},
-{18657, 18, 88083, {1, 3, 7, 15, 31, 5, 81, 213, 281, 903, 189, 1807, 3551, 4423, 3591, 27449, 71659, 255357}},
-{18658, 18, 88119, {1, 1, 1, 15, 11, 1, 25, 213, 259, 215, 435, 3531, 4889, 9509, 21391, 21589, 89871, 85895}},
-{18659, 18, 88134, {1, 3, 3, 9, 29, 29, 37, 127, 419, 631, 1793, 1547, 1463, 13265, 17233, 24627, 3687, 174179}},
-{18660, 18, 88138, {1, 1, 1, 7, 27, 61, 105, 135, 439, 161, 721, 2779, 6731, 14575, 4565, 25869, 38981, 191683}},
-{18661, 18, 88143, {1, 1, 7, 13, 21, 41, 43, 5, 313, 407, 505, 231, 5023, 8971, 15825, 38461, 38797, 136027}},
-{18662, 18, 88191, {1, 3, 7, 3, 7, 59, 11, 255, 327, 843, 1179, 889, 4505, 10891, 7901, 14485, 72297, 255985}},
-{18663, 18, 88216, {1, 1, 5, 3, 9, 37, 89, 59, 413, 51, 515, 4009, 6501, 8443, 14381, 60917, 43567, 234431}},
-{18664, 18, 88231, {1, 1, 3, 9, 9, 57, 65, 205, 367, 935, 1975, 2561, 225, 12529, 4721, 56659, 87901, 219641}},
-{18665, 18, 88232, {1, 3, 7, 15, 23, 55, 61, 15, 89, 267, 1245, 2703, 7471, 10499, 19, 19357, 72413, 199289}},
-{18666, 18, 88297, {1, 1, 1, 13, 1, 29, 65, 11, 353, 509, 1831, 2181, 5265, 14761, 913, 17109, 113613, 37143}},
-{18667, 18, 88300, {1, 1, 7, 5, 17, 37, 97, 249, 169, 223, 475, 2091, 3101, 8541, 325, 42359, 16121, 151739}},
-{18668, 18, 88308, {1, 1, 3, 13, 1, 45, 13, 209, 395, 215, 15, 2287, 5365, 9887, 29799, 51957, 97483, 109467}},
-{18669, 18, 88317, {1, 3, 7, 1, 9, 35, 91, 51, 387, 833, 783, 2483, 3743, 6155, 5881, 3047, 86191, 151867}},
-{18670, 18, 88344, {1, 1, 1, 7, 15, 25, 13, 3, 119, 333, 761, 3459, 2555, 15737, 12945, 15225, 45487, 78235}},
-{18671, 18, 88350, {1, 3, 1, 3, 13, 55, 111, 45, 121, 593, 633, 2705, 1653, 13275, 13533, 3559, 100573, 124363}},
-{18672, 18, 88371, {1, 1, 3, 1, 29, 49, 65, 69, 133, 667, 653, 2559, 6335, 8019, 9251, 5415, 90125, 197413}},
-{18673, 18, 88469, {1, 1, 1, 7, 23, 53, 99, 149, 39, 453, 129, 185, 1143, 12799, 23339, 41293, 94023, 105581}},
-{18674, 18, 88483, {1, 3, 3, 13, 5, 3, 5, 215, 425, 455, 421, 3815, 5983, 3851, 19569, 17363, 6411, 60037}},
-{18675, 18, 88485, {1, 3, 7, 1, 29, 7, 63, 207, 299, 17, 1915, 2041, 8129, 661, 32481, 55475, 72027, 239683}},
-{18676, 18, 88518, {1, 1, 5, 13, 29, 11, 39, 177, 177, 479, 1291, 3931, 4353, 327, 7827, 9529, 6967, 6469}},
-{18677, 18, 88586, {1, 1, 5, 3, 25, 39, 121, 15, 7, 715, 583, 3997, 1373, 7747, 1777, 7269, 105333, 201511}},
-{18678, 18, 88605, {1, 3, 3, 9, 11, 7, 81, 109, 129, 359, 1281, 1163, 4895, 10303, 17801, 43461, 120271, 173027}},
-{18679, 18, 88621, {1, 3, 5, 1, 23, 59, 123, 75, 505, 925, 637, 1713, 995, 14031, 13711, 62569, 90553, 242345}},
-{18680, 18, 88651, {1, 3, 3, 15, 19, 11, 39, 203, 229, 619, 735, 1367, 4963, 5263, 30229, 17847, 9623, 3277}},
-{18681, 18, 88656, {1, 1, 7, 13, 5, 27, 23, 223, 377, 335, 1821, 2481, 4111, 10373, 18423, 7237, 75225, 223433}},
-{18682, 18, 88665, {1, 3, 7, 1, 21, 19, 71, 107, 19, 703, 945, 3831, 1099, 6267, 17489, 27665, 8861, 127499}},
-{18683, 18, 88668, {1, 3, 5, 1, 19, 49, 117, 181, 245, 939, 1279, 3127, 4427, 3061, 23399, 64805, 43077, 100789}},
-{18684, 18, 88712, {1, 1, 3, 3, 31, 55, 53, 205, 97, 645, 215, 2617, 7419, 7159, 27373, 62341, 58121, 248677}},
-{18685, 18, 88717, {1, 1, 7, 5, 15, 41, 99, 75, 201, 187, 197, 3773, 3097, 6803, 5307, 31375, 26743, 142723}},
-{18686, 18, 88751, {1, 3, 5, 11, 23, 61, 127, 15, 89, 245, 1345, 1305, 5937, 15917, 23867, 50319, 91921, 248663}},
-{18687, 18, 88754, {1, 1, 3, 9, 27, 7, 1, 75, 181, 155, 1947, 577, 2975, 8855, 5295, 43403, 112497, 100679}},
-{18688, 18, 88756, {1, 1, 1, 11, 29, 61, 35, 241, 207, 73, 1747, 1797, 3665, 14275, 25359, 28685, 79367, 81819}},
-{18689, 18, 88785, {1, 3, 5, 9, 11, 1, 37, 79, 431, 157, 1979, 159, 3087, 1731, 26141, 31411, 56457, 94293}},
-{18690, 18, 88801, {1, 3, 7, 1, 17, 35, 107, 243, 279, 79, 227, 1275, 761, 11485, 22181, 16415, 68801, 4577}},
-{18691, 18, 88807, {1, 3, 1, 9, 21, 43, 115, 131, 129, 123, 1677, 1875, 7355, 15927, 845, 24101, 48985, 39703}},
-{18692, 18, 88826, {1, 1, 7, 3, 17, 25, 105, 189, 317, 109, 1629, 3103, 615, 1047, 621, 62743, 43631, 9811}},
-{18693, 18, 88848, {1, 3, 1, 3, 3, 45, 49, 73, 383, 761, 685, 3211, 3855, 16307, 30469, 1393, 52535, 165503}},
-{18694, 18, 88854, {1, 3, 5, 15, 1, 41, 89, 105, 213, 33, 1477, 711, 4823, 503, 12533, 56781, 42825, 223399}},
-{18695, 18, 88864, {1, 3, 5, 9, 17, 45, 63, 113, 359, 927, 1467, 2811, 4275, 5193, 6023, 32689, 87747, 234697}},
-{18696, 18, 88879, {1, 1, 3, 1, 21, 49, 73, 157, 97, 915, 1689, 3289, 7515, 10759, 32253, 63175, 66175, 125813}},
-{18697, 18, 88939, {1, 1, 1, 5, 19, 1, 127, 229, 453, 617, 511, 1515, 3815, 3125, 26851, 31635, 35389, 237483}},
-{18698, 18, 88947, {1, 1, 1, 13, 27, 61, 75, 23, 289, 133, 975, 3217, 3777, 12095, 15235, 33845, 125503, 88417}},
-{18699, 18, 88987, {1, 1, 3, 13, 27, 49, 29, 115, 221, 995, 1305, 2717, 2243, 13391, 20841, 863, 63195, 46829}},
-{18700, 18, 88990, {1, 3, 1, 11, 31, 49, 43, 163, 503, 123, 657, 1285, 3695, 8401, 17087, 48289, 3947, 41495}},
-{18701, 18, 88996, {1, 3, 7, 9, 21, 17, 125, 75, 395, 979, 781, 2501, 6511, 4619, 28943, 18295, 87547, 196289}},
-{18702, 18, 89008, {1, 3, 3, 5, 3, 39, 107, 199, 7, 331, 77, 511, 5787, 3155, 29605, 44633, 51041, 89141}},
-{18703, 18, 89011, {1, 1, 3, 7, 11, 37, 79, 69, 181, 623, 299, 2321, 4371, 7449, 3137, 25753, 116673, 30441}},
-{18704, 18, 89043, {1, 1, 5, 9, 11, 13, 49, 207, 179, 671, 1469, 1005, 6887, 12203, 9365, 62455, 36283, 42053}},
-{18705, 18, 89045, {1, 3, 1, 1, 7, 31, 115, 79, 435, 101, 1525, 3695, 3229, 11401, 23959, 62055, 37725, 219753}},
-{18706, 18, 89050, {1, 3, 3, 7, 25, 49, 123, 161, 275, 291, 255, 2247, 4271, 10771, 2449, 26343, 61169, 30691}},
-{18707, 18, 89097, {1, 1, 7, 1, 15, 3, 11, 15, 125, 1021, 1817, 417, 2721, 13985, 19039, 451, 32559, 199407}},
-{18708, 18, 89100, {1, 1, 5, 15, 11, 25, 23, 101, 427, 431, 1353, 1957, 3529, 513, 11937, 14469, 89539, 242015}},
-{18709, 18, 89106, {1, 1, 5, 13, 27, 5, 107, 29, 469, 3, 1427, 1949, 7007, 16339, 3375, 63545, 100739, 229487}},
-{18710, 18, 89134, {1, 3, 5, 13, 15, 17, 59, 213, 417, 557, 11, 811, 5041, 4133, 25735, 46807, 65669, 148081}},
-{18711, 18, 89178, {1, 1, 5, 13, 9, 47, 35, 173, 277, 805, 1249, 3707, 1079, 2833, 29383, 58995, 21005, 181567}},
-{18712, 18, 89189, {1, 3, 5, 1, 5, 25, 125, 45, 157, 291, 1329, 3317, 2311, 9919, 31001, 65127, 19451, 117621}},
-{18713, 18, 89202, {1, 1, 5, 9, 31, 21, 9, 193, 23, 879, 699, 1135, 7151, 8635, 20711, 45207, 67047, 4397}},
-{18714, 18, 89211, {1, 3, 1, 11, 11, 49, 119, 129, 409, 491, 463, 833, 3661, 607, 25961, 6061, 12747, 160337}},
-{18715, 18, 89224, {1, 3, 1, 15, 31, 35, 93, 95, 239, 695, 1113, 2371, 2625, 10371, 10781, 46209, 67051, 109923}},
-{18716, 18, 89241, {1, 3, 5, 9, 5, 61, 25, 19, 99, 159, 55, 43, 3679, 1023, 17951, 44841, 101653, 195955}},
-{18717, 18, 89251, {1, 1, 3, 11, 19, 45, 99, 47, 407, 115, 353, 3537, 7147, 5837, 27309, 44539, 30227, 93183}},
-{18718, 18, 89254, {1, 1, 7, 15, 13, 59, 83, 215, 79, 865, 269, 2999, 2415, 10631, 23655, 51583, 46105, 43965}},
-{18719, 18, 89258, {1, 3, 7, 5, 17, 1, 7, 119, 501, 25, 1097, 3639, 7017, 381, 4793, 37263, 60431, 77323}},
-{18720, 18, 89295, {1, 3, 7, 13, 1, 37, 99, 103, 459, 853, 5, 3093, 6167, 14497, 7003, 36979, 71919, 64823}},
-{18721, 18, 89328, {1, 3, 7, 5, 23, 7, 37, 255, 297, 115, 113, 579, 4561, 5245, 11173, 28645, 23989, 240777}},
-{18722, 18, 89357, {1, 3, 5, 9, 29, 47, 43, 145, 481, 251, 737, 2531, 2425, 529, 3953, 13229, 35933, 187855}},
-{18723, 18, 89403, {1, 3, 1, 15, 15, 15, 29, 73, 405, 91, 1399, 3599, 1517, 11075, 11265, 22817, 26619, 1183}},
-{18724, 18, 89420, {1, 1, 5, 15, 21, 47, 93, 33, 47, 527, 877, 3453, 3867, 4007, 32503, 11789, 68333, 187419}},
-{18725, 18, 89426, {1, 1, 3, 13, 5, 3, 99, 21, 17, 779, 541, 3919, 1339, 13507, 28965, 61145, 50421, 192319}},
-{18726, 18, 89465, {1, 1, 3, 7, 31, 63, 17, 9, 331, 681, 515, 1067, 351, 2471, 31271, 36015, 72911, 32383}},
-{18727, 18, 89471, {1, 1, 3, 7, 1, 55, 97, 211, 409, 499, 1207, 2405, 2291, 1373, 1263, 65303, 38655, 159965}},
-{18728, 18, 89475, {1, 1, 1, 5, 23, 11, 21, 23, 35, 19, 1699, 2325, 6117, 14971, 32327, 31369, 28061, 112819}},
-{18729, 18, 89547, {1, 3, 3, 13, 29, 63, 19, 201, 173, 395, 1437, 369, 7045, 14347, 5393, 11311, 28415, 161019}},
-{18730, 18, 89549, {1, 3, 1, 5, 31, 15, 101, 13, 97, 865, 1063, 2129, 811, 3337, 7585, 54803, 122099, 149531}},
-{18731, 18, 89558, {1, 3, 3, 13, 19, 5, 47, 13, 497, 683, 1197, 3509, 4375, 3353, 31847, 283, 95281, 7975}},
-{18732, 18, 89564, {1, 1, 7, 5, 25, 19, 59, 105, 167, 775, 581, 2679, 3003, 9345, 20209, 31487, 25357, 226341}},
-{18733, 18, 89611, {1, 1, 5, 5, 31, 61, 13, 77, 189, 141, 1157, 609, 7245, 15303, 32743, 50229, 67391, 173977}},
-{18734, 18, 89616, {1, 3, 7, 13, 17, 11, 49, 135, 475, 303, 1373, 1437, 6119, 1729, 21347, 31643, 86523, 41223}},
-{18735, 18, 89626, {1, 3, 7, 13, 3, 19, 103, 53, 209, 281, 77, 2009, 7911, 8549, 17655, 33165, 9685, 2289}},
-{18736, 18, 89650, {1, 3, 3, 9, 5, 31, 71, 113, 93, 255, 165, 3465, 6769, 13047, 20701, 33669, 22537, 175209}},
-{18737, 18, 89691, {1, 3, 1, 1, 15, 59, 89, 227, 275, 451, 869, 1865, 1327, 3895, 5459, 47997, 34287, 95343}},
-{18738, 18, 89718, {1, 3, 7, 13, 27, 1, 25, 99, 475, 421, 693, 1955, 4017, 16037, 29915, 52415, 99913, 59151}},
-{18739, 18, 89764, {1, 3, 5, 1, 9, 61, 107, 149, 465, 1003, 891, 2387, 407, 5851, 6287, 56401, 109693, 72035}},
-{18740, 18, 89776, {1, 1, 1, 11, 25, 53, 101, 125, 35, 949, 1019, 3087, 2785, 11271, 25623, 57313, 115683, 101923}},
-{18741, 18, 89785, {1, 3, 5, 13, 19, 13, 97, 147, 149, 483, 1727, 1771, 2089, 8661, 28223, 30437, 42565, 13261}},
-{18742, 18, 89813, {1, 3, 3, 11, 17, 9, 13, 13, 419, 531, 1617, 1459, 411, 9953, 25581, 30305, 120721, 81113}},
-{18743, 18, 89817, {1, 3, 3, 9, 9, 9, 83, 35, 367, 981, 911, 1915, 4937, 16187, 20441, 30433, 107605, 119939}},
-{18744, 18, 89861, {1, 3, 7, 11, 11, 47, 31, 7, 141, 905, 1753, 3069, 47, 7347, 10517, 19515, 126827, 68669}},
-{18745, 18, 89876, {1, 3, 3, 9, 17, 33, 121, 159, 265, 389, 261, 2479, 7705, 6453, 31963, 14123, 100201, 77235}},
-{18746, 18, 89889, {1, 1, 5, 5, 13, 63, 3, 1, 107, 383, 633, 2183, 1437, 14525, 29315, 3277, 2153, 204061}},
-{18747, 18, 89904, {1, 3, 3, 3, 17, 9, 47, 173, 17, 413, 451, 1127, 1807, 5265, 32543, 8215, 123601, 138777}},
-{18748, 18, 89939, {1, 3, 1, 1, 7, 57, 93, 29, 101, 955, 1445, 4017, 2853, 3551, 22173, 40355, 34687, 133063}},
-{18749, 18, 89948, {1, 1, 5, 11, 19, 15, 95, 177, 49, 971, 15, 2293, 2627, 7841, 2103, 64331, 60481, 182431}},
-{18750, 18, 89952, {1, 3, 1, 15, 25, 57, 47, 85, 485, 11, 1669, 995, 6939, 4125, 19513, 62397, 62645, 82213}},
-{18751, 18, 89964, {1, 1, 1, 11, 1, 37, 101, 157, 17, 261, 997, 817, 2195, 4141, 10505, 60685, 98165, 167391}},
-{18752, 18, 89969, {1, 1, 1, 1, 31, 9, 103, 97, 161, 13, 1043, 307, 7321, 671, 12417, 58661, 23031, 207833}},
-{18753, 18, 89979, {1, 1, 7, 9, 15, 49, 69, 117, 93, 95, 507, 393, 6169, 2111, 27179, 47217, 93699, 67315}},
-{18754, 18, 90009, {1, 3, 7, 1, 23, 41, 115, 125, 343, 615, 397, 1199, 3041, 11019, 1071, 51069, 75757, 245765}},
-{18755, 18, 90022, {1, 1, 1, 13, 7, 15, 111, 239, 29, 419, 203, 2395, 3995, 13, 32341, 17471, 53259, 3317}},
-{18756, 18, 90031, {1, 3, 1, 11, 29, 27, 15, 217, 17, 163, 1847, 3549, 4911, 4539, 4927, 57157, 44893, 41669}},
-{18757, 18, 90043, {1, 1, 7, 7, 25, 15, 101, 149, 433, 717, 1827, 3837, 4565, 14521, 28857, 27775, 117429, 136131}},
-{18758, 18, 90045, {1, 1, 1, 3, 25, 35, 85, 3, 381, 253, 375, 3967, 3101, 12727, 31739, 48885, 35821, 92229}},
-{18759, 18, 90068, {1, 3, 3, 7, 29, 5, 51, 157, 67, 467, 1957, 3453, 1353, 4839, 25379, 42731, 109385, 52479}},
-{18760, 18, 90071, {1, 3, 7, 13, 3, 55, 61, 73, 257, 313, 89, 2557, 7467, 2223, 2951, 49265, 126605, 72007}},
-{18761, 18, 90082, {1, 3, 7, 5, 5, 11, 83, 3, 347, 63, 479, 529, 5059, 7029, 20523, 58387, 44891, 168921}},
-{18762, 18, 90087, {1, 3, 1, 11, 3, 51, 99, 5, 161, 279, 1509, 3659, 3107, 13925, 5117, 46153, 48731, 69767}},
-{18763, 18, 90117, {1, 1, 5, 5, 3, 53, 49, 243, 383, 401, 1205, 975, 3305, 12769, 25533, 28733, 115161, 160885}},
-{18764, 18, 90127, {1, 1, 1, 7, 15, 5, 43, 143, 493, 527, 1625, 2115, 3929, 12425, 16127, 25045, 55973, 202359}},
-{18765, 18, 90163, {1, 3, 7, 7, 11, 9, 69, 79, 417, 941, 473, 1655, 5763, 9889, 22443, 12153, 103489, 74737}},
-{18766, 18, 90166, {1, 1, 7, 9, 27, 31, 97, 253, 199, 99, 1955, 1481, 2509, 11923, 6337, 15899, 122515, 244721}},
-{18767, 18, 90177, {1, 1, 5, 13, 29, 15, 35, 177, 261, 613, 1279, 2837, 2945, 4501, 22865, 36893, 51979, 245569}},
-{18768, 18, 90211, {1, 1, 5, 9, 21, 5, 85, 5, 303, 165, 681, 3965, 2575, 1493, 10367, 55845, 92139, 92539}},
-{18769, 18, 90218, {1, 3, 5, 1, 23, 49, 49, 161, 481, 181, 1991, 1845, 4541, 14187, 10893, 64931, 79943, 57907}},
-{18770, 18, 90225, {1, 3, 1, 5, 11, 27, 19, 193, 371, 463, 1573, 271, 1127, 15091, 9967, 40337, 104163, 159339}},
-{18771, 18, 90231, {1, 3, 1, 3, 13, 3, 57, 149, 465, 789, 1155, 2223, 2007, 13987, 19057, 40447, 5217, 86191}},
-{18772, 18, 90235, {1, 3, 5, 5, 9, 45, 27, 155, 95, 171, 489, 2539, 843, 16125, 7047, 58541, 84641, 212013}},
-{18773, 18, 90289, {1, 3, 5, 13, 13, 53, 101, 159, 7, 481, 143, 3869, 6629, 3527, 1555, 6019, 155, 230157}},
-{18774, 18, 90344, {1, 3, 1, 1, 19, 59, 59, 129, 107, 887, 1595, 93, 6577, 3947, 14409, 31081, 68595, 226741}},
-{18775, 18, 90347, {1, 3, 3, 11, 13, 49, 81, 253, 363, 875, 489, 2181, 3487, 1615, 31157, 32949, 44809, 119421}},
-{18776, 18, 90379, {1, 1, 3, 1, 3, 19, 71, 93, 397, 521, 2015, 3829, 3013, 3941, 29437, 1959, 70283, 254361}},
-{18777, 18, 90387, {1, 3, 1, 3, 27, 11, 95, 39, 299, 521, 389, 3451, 3047, 8637, 22537, 11279, 67407, 101511}},
-{18778, 18, 90418, {1, 3, 1, 1, 27, 43, 123, 237, 315, 503, 1059, 2185, 3963, 1593, 19157, 13909, 58025, 91649}},
-{18779, 18, 90435, {1, 1, 7, 1, 5, 19, 79, 109, 459, 541, 521, 89, 389, 13499, 9769, 1429, 117357, 153261}},
-{18780, 18, 90444, {1, 1, 5, 3, 9, 29, 21, 97, 219, 915, 2013, 1955, 1015, 549, 9777, 5005, 110953, 16915}},
-{18781, 18, 90472, {1, 1, 1, 9, 29, 11, 103, 167, 465, 515, 843, 151, 769, 12033, 9451, 14949, 110075, 113947}},
-{18782, 18, 90478, {1, 3, 5, 1, 21, 1, 105, 49, 35, 737, 231, 2761, 1519, 9997, 601, 20883, 42575, 98081}},
-{18783, 18, 90485, {1, 1, 1, 5, 13, 63, 47, 171, 187, 407, 643, 1423, 6325, 10079, 23781, 36353, 20655, 10231}},
-{18784, 18, 90486, {1, 1, 7, 13, 13, 13, 91, 31, 19, 305, 505, 1937, 2683, 10791, 7719, 54797, 9405, 195819}},
-{18785, 18, 90513, {1, 1, 1, 7, 17, 9, 21, 211, 85, 851, 211, 1533, 4035, 11, 26873, 16755, 77809, 44603}},
-{18786, 18, 90514, {1, 1, 3, 1, 29, 47, 31, 141, 9, 881, 1229, 1261, 3747, 4603, 22177, 48937, 21435, 157029}},
-{18787, 18, 90532, {1, 1, 1, 9, 11, 35, 109, 187, 319, 863, 1339, 2193, 4147, 3721, 7243, 18295, 92461, 88875}},
-{18788, 18, 90567, {1, 1, 1, 1, 25, 41, 79, 191, 47, 819, 2013, 3133, 2763, 9231, 10343, 49693, 26753, 97465}},
-{18789, 18, 90595, {1, 3, 1, 3, 17, 25, 63, 139, 179, 113, 1681, 1997, 4561, 14453, 30721, 7053, 22937, 183303}},
-{18790, 18, 90597, {1, 1, 7, 3, 29, 11, 41, 157, 427, 887, 295, 443, 5593, 8633, 9757, 37595, 121655, 135739}},
-{18791, 18, 90621, {1, 3, 1, 7, 29, 5, 23, 231, 85, 67, 103, 1395, 7821, 9551, 17019, 1825, 69963, 254583}},
-{18792, 18, 90631, {1, 1, 7, 9, 7, 23, 7, 205, 17, 111, 1219, 3101, 7485, 11579, 11791, 10203, 119835, 175985}},
-{18793, 18, 90668, {1, 3, 3, 13, 3, 57, 101, 255, 331, 911, 491, 3929, 2519, 2185, 21107, 24599, 92831, 75001}},
-{18794, 18, 90706, {1, 3, 7, 1, 23, 53, 69, 229, 295, 881, 905, 3727, 3885, 7967, 2061, 53595, 16033, 36443}},
-{18795, 18, 90708, {1, 1, 7, 15, 21, 1, 127, 115, 191, 53, 929, 1093, 5447, 1665, 4409, 22611, 38157, 139201}},
-{18796, 18, 90715, {1, 3, 3, 13, 29, 31, 113, 215, 365, 41, 1977, 2839, 4147, 8321, 1361, 45717, 80505, 176631}},
-{18797, 18, 90724, {1, 3, 5, 3, 3, 57, 25, 81, 41, 229, 669, 3371, 7505, 1197, 14921, 34365, 67571, 27355}},
-{18798, 18, 90769, {1, 3, 7, 9, 17, 35, 7, 169, 13, 163, 2007, 3697, 5635, 8003, 26105, 62917, 19349, 47029}},
-{18799, 18, 90791, {1, 1, 5, 5, 29, 27, 89, 137, 69, 189, 871, 3139, 6383, 14955, 15349, 60447, 122291, 26541}},
-{18800, 18, 90792, {1, 1, 7, 13, 27, 49, 115, 111, 441, 865, 1397, 161, 755, 14461, 8601, 45533, 105309, 149799}},
-{18801, 18, 90805, {1, 1, 7, 3, 9, 29, 91, 5, 239, 605, 491, 1705, 4099, 9111, 19821, 56903, 62815, 40615}},
-{18802, 18, 90810, {1, 1, 7, 15, 5, 45, 71, 225, 211, 539, 1881, 1201, 5675, 6061, 12121, 13289, 30455, 33131}},
-{18803, 18, 90820, {1, 1, 5, 15, 5, 59, 35, 121, 185, 143, 165, 2999, 7907, 5035, 8337, 11951, 66403, 219997}},
-{18804, 18, 90844, {1, 1, 5, 9, 3, 7, 27, 129, 245, 93, 715, 1249, 1717, 13381, 31255, 23153, 22227, 8077}},
-{18805, 18, 90907, {1, 3, 5, 11, 19, 49, 21, 163, 157, 615, 1475, 2453, 6315, 12325, 26565, 58399, 49385, 252127}},
-{18806, 18, 90925, {1, 3, 7, 11, 23, 3, 35, 61, 409, 795, 1447, 3461, 535, 6533, 25757, 31783, 9509, 217589}},
-{18807, 18, 90926, {1, 1, 5, 15, 9, 21, 67, 65, 399, 515, 777, 3183, 1155, 16071, 7339, 59985, 56659, 200701}},
-{18808, 18, 90934, {1, 3, 3, 1, 15, 33, 119, 145, 71, 517, 1775, 163, 5307, 1549, 31071, 56289, 128395, 230381}},
-{18809, 18, 90946, {1, 3, 1, 7, 7, 47, 97, 187, 193, 887, 515, 1301, 4841, 12069, 413, 41503, 36421, 45909}},
-{18810, 18, 90981, {1, 1, 5, 3, 17, 21, 53, 227, 137, 865, 715, 3601, 5027, 2983, 24113, 23349, 106391, 188193}},
-{18811, 18, 90999, {1, 3, 7, 15, 29, 37, 91, 235, 351, 15, 425, 681, 187, 1517, 30079, 41347, 49691, 66369}},
-{18812, 18, 91003, {1, 1, 5, 5, 15, 25, 93, 245, 397, 517, 1635, 2475, 5543, 9597, 27721, 21475, 79571, 259011}},
-{18813, 18, 91019, {1, 1, 1, 5, 21, 29, 5, 161, 37, 409, 1661, 3371, 5663, 4317, 9951, 23605, 7393, 90593}},
-{18814, 18, 91022, {1, 1, 3, 15, 21, 51, 79, 159, 209, 891, 1391, 2895, 5003, 6601, 17983, 42359, 104497, 162181}},
-{18815, 18, 91050, {1, 3, 7, 11, 23, 51, 99, 145, 21, 345, 1389, 1035, 5939, 8293, 22765, 23331, 7789, 115149}},
-{18816, 18, 91055, {1, 1, 5, 11, 27, 61, 115, 123, 317, 607, 463, 779, 5121, 3861, 18761, 39407, 125837, 244163}},
-{18817, 18, 91064, {1, 1, 7, 3, 15, 9, 33, 1, 437, 621, 31, 147, 8157, 3451, 18223, 61187, 125297, 211225}},
-{18818, 18, 91078, {1, 3, 1, 11, 27, 55, 21, 251, 5, 57, 1889, 71, 3745, 499, 9043, 62683, 21945, 138615}},
-{18819, 18, 91117, {1, 1, 3, 13, 25, 9, 1, 31, 277, 373, 507, 301, 2341, 1741, 11997, 47661, 44121, 183151}},
-{18820, 18, 91120, {1, 3, 3, 5, 15, 51, 5, 233, 475, 397, 1833, 1267, 7025, 2593, 15425, 47053, 16205, 208007}},
-{18821, 18, 91129, {1, 3, 3, 9, 31, 51, 123, 219, 493, 789, 659, 985, 7283, 11545, 15383, 25173, 130423, 196619}},
-{18822, 18, 91140, {1, 1, 1, 15, 9, 17, 37, 145, 297, 933, 1019, 1699, 2149, 12391, 17003, 42157, 126283, 252231}},
-{18823, 18, 91157, {1, 3, 5, 9, 17, 1, 91, 69, 335, 857, 925, 3855, 2225, 6909, 19101, 12191, 92117, 229077}},
-{18824, 18, 91161, {1, 3, 5, 13, 5, 21, 67, 17, 307, 879, 1563, 3169, 745, 6799, 27237, 39621, 1413, 146295}},
-{18825, 18, 91240, {1, 3, 7, 13, 17, 59, 23, 253, 415, 761, 451, 2773, 3523, 10985, 29853, 7275, 79521, 133447}},
-{18826, 18, 91260, {1, 1, 1, 1, 15, 43, 89, 19, 85, 837, 1335, 1641, 105, 5429, 8317, 45555, 104447, 102313}},
-{18827, 18, 91270, {1, 3, 3, 5, 17, 21, 67, 235, 367, 265, 1069, 835, 5457, 177, 26987, 39477, 6895, 123283}},
-{18828, 18, 91287, {1, 1, 5, 15, 19, 61, 5, 15, 487, 291, 661, 825, 1569, 8795, 13035, 57077, 112847, 160267}},
-{18829, 18, 91321, {1, 1, 7, 9, 27, 21, 91, 133, 361, 7, 447, 3035, 3523, 13167, 15927, 35555, 35713, 91291}},
-{18830, 18, 91336, {1, 3, 7, 11, 17, 23, 77, 255, 437, 897, 1185, 1633, 6451, 13081, 29097, 61335, 39671, 177835}},
-{18831, 18, 91341, {1, 1, 7, 5, 31, 49, 81, 221, 167, 241, 1895, 1813, 1493, 2475, 379, 5685, 116341, 121823}},
-{18832, 18, 91378, {1, 3, 5, 9, 25, 11, 117, 253, 337, 381, 743, 69, 1641, 3649, 26335, 59683, 28729, 83449}},
-{18833, 18, 91398, {1, 3, 1, 7, 15, 17, 59, 9, 129, 233, 1905, 1371, 6521, 8953, 26173, 9707, 70817, 260035}},
-{18834, 18, 91437, {1, 3, 1, 5, 19, 53, 23, 255, 305, 835, 1387, 2947, 3013, 9117, 27571, 47123, 49881, 47229}},
-{18835, 18, 91440, {1, 1, 3, 5, 23, 37, 123, 193, 365, 49, 1211, 3083, 8133, 14205, 11361, 55945, 23225, 159109}},
-{18836, 18, 91475, {1, 1, 7, 11, 5, 49, 43, 165, 97, 581, 617, 3045, 6187, 8399, 24045, 46713, 28389, 156811}},
-{18837, 18, 91494, {1, 3, 1, 5, 29, 17, 75, 231, 59, 143, 2041, 2319, 2289, 11805, 4039, 29895, 91305, 179091}},
-{18838, 18, 91500, {1, 1, 7, 7, 29, 5, 13, 43, 409, 81, 751, 2157, 2543, 13317, 28275, 60871, 119833, 36743}},
-{18839, 18, 91511, {1, 1, 5, 13, 5, 5, 21, 101, 497, 993, 157, 647, 3587, 1495, 20233, 30889, 112579, 172009}},
-{18840, 18, 91567, {1, 1, 7, 13, 7, 19, 101, 217, 305, 897, 1305, 1693, 6881, 2415, 17373, 56327, 53971, 19021}},
-{18841, 18, 91572, {1, 1, 7, 15, 31, 61, 93, 99, 459, 999, 239, 969, 2427, 12295, 23699, 4839, 73707, 110365}},
-{18842, 18, 91601, {1, 3, 5, 9, 15, 59, 29, 35, 15, 331, 93, 529, 2651, 5675, 3039, 25967, 2907, 222053}},
-{18843, 18, 91617, {1, 3, 3, 1, 1, 17, 59, 81, 495, 917, 1907, 3, 1989, 14339, 21311, 60909, 39393, 54115}},
-{18844, 18, 91653, {1, 3, 1, 9, 1, 37, 31, 201, 251, 117, 1753, 2453, 5007, 6935, 1165, 49231, 51495, 200219}},
-{18845, 18, 91678, {1, 1, 3, 3, 15, 47, 17, 175, 77, 363, 1455, 1417, 1357, 2295, 31165, 53337, 97891, 145621}},
-{18846, 18, 91705, {1, 3, 3, 3, 27, 31, 41, 179, 47, 629, 5, 2543, 6817, 8953, 7151, 20715, 52363, 251037}},
-{18847, 18, 91723, {1, 3, 1, 1, 21, 11, 103, 87, 285, 189, 1911, 2979, 7563, 13405, 2309, 25695, 106277, 179493}},
-{18848, 18, 91725, {1, 1, 1, 5, 7, 19, 1, 233, 261, 825, 1071, 3529, 5617, 11207, 24559, 47461, 79753, 41009}},
-{18849, 18, 91733, {1, 1, 3, 1, 15, 35, 65, 157, 381, 509, 1455, 3117, 31, 2251, 29729, 33687, 74999, 214765}},
-{18850, 18, 91761, {1, 1, 7, 11, 31, 43, 11, 147, 509, 891, 1929, 357, 3905, 16251, 30169, 27787, 124003, 142587}},
-{18851, 18, 91768, {1, 1, 7, 11, 3, 31, 93, 161, 311, 377, 1119, 2177, 4339, 3889, 24299, 35167, 87583, 145611}},
-{18852, 18, 91790, {1, 1, 5, 9, 23, 9, 73, 85, 233, 919, 1319, 13, 3353, 1029, 31251, 17731, 86759, 11705}},
-{18853, 18, 91804, {1, 1, 1, 7, 27, 23, 67, 235, 207, 161, 697, 2433, 833, 5305, 32695, 29327, 25285, 51289}},
-{18854, 18, 91807, {1, 3, 3, 3, 31, 55, 107, 211, 61, 993, 1443, 463, 5029, 5401, 8821, 29721, 113939, 194839}},
-{18855, 18, 91808, {1, 1, 1, 11, 11, 33, 39, 167, 17, 863, 363, 3967, 2277, 4053, 15403, 31887, 98565, 217953}},
-{18856, 18, 91818, {1, 1, 7, 1, 21, 47, 97, 147, 155, 327, 1417, 3531, 7649, 8975, 21221, 57631, 72611, 97745}},
-{18857, 18, 91840, {1, 3, 3, 1, 1, 63, 19, 91, 105, 991, 819, 673, 7845, 14947, 1633, 40517, 91525, 151041}},
-{18858, 18, 91849, {1, 1, 7, 11, 25, 43, 57, 141, 65, 415, 1045, 3947, 7099, 11653, 29321, 51591, 2591, 44803}},
-{18859, 18, 91869, {1, 3, 1, 9, 15, 19, 105, 37, 485, 3, 213, 1217, 951, 5637, 1589, 25501, 95073, 124683}},
-{18860, 18, 91873, {1, 1, 5, 7, 13, 19, 55, 143, 507, 575, 715, 1633, 5201, 10493, 26041, 18407, 8097, 152313}},
-{18861, 18, 91876, {1, 1, 3, 5, 9, 51, 5, 171, 143, 877, 1571, 2997, 4209, 13423, 9389, 23015, 6665, 254799}},
-{18862, 18, 91888, {1, 3, 5, 15, 31, 43, 87, 79, 89, 463, 1075, 1257, 1631, 13225, 13529, 53267, 73651, 89125}},
-{18863, 18, 91891, {1, 3, 7, 13, 23, 17, 93, 113, 45, 225, 1939, 3301, 6031, 9749, 16577, 12857, 68437, 169861}},
-{18864, 18, 91897, {1, 3, 3, 15, 31, 11, 91, 127, 227, 813, 105, 901, 6861, 10627, 18425, 2553, 102503, 83167}},
-{18865, 18, 91911, {1, 3, 3, 13, 17, 63, 83, 163, 451, 659, 1995, 2283, 6297, 8097, 20935, 6017, 4977, 5045}},
-{18866, 18, 91965, {1, 1, 5, 13, 27, 47, 103, 129, 259, 975, 391, 2343, 6639, 1385, 30187, 35401, 74321, 24751}},
-{18867, 18, 91971, {1, 3, 1, 13, 1, 57, 37, 65, 57, 413, 63, 3819, 5915, 3925, 20777, 48539, 3019, 54965}},
-{18868, 18, 91988, {1, 1, 7, 3, 7, 13, 91, 33, 143, 489, 657, 3127, 707, 10841, 11307, 37855, 92697, 119189}},
-{18869, 18, 91992, {1, 1, 3, 11, 25, 47, 11, 57, 463, 693, 55, 501, 3765, 15443, 12917, 61677, 97145, 213637}},
-{18870, 18, 92004, {1, 3, 1, 1, 13, 49, 13, 225, 101, 475, 627, 1447, 7587, 11335, 3599, 20795, 72915, 174663}},
-{18871, 18, 92021, {1, 3, 7, 5, 31, 15, 115, 255, 329, 365, 959, 3399, 4695, 14537, 1447, 17391, 88557, 130213}},
-{18872, 18, 92035, {1, 1, 1, 9, 25, 47, 29, 173, 29, 149, 291, 691, 7621, 7607, 20769, 7149, 27323, 57689}},
-{18873, 18, 92068, {1, 3, 5, 15, 3, 61, 119, 247, 25, 495, 1297, 1119, 8011, 16077, 21567, 30559, 88455, 68763}},
-{18874, 18, 92098, {1, 1, 7, 1, 11, 47, 109, 115, 313, 517, 1951, 3319, 337, 11793, 22345, 33457, 47383, 213893}},
-{18875, 18, 92104, {1, 1, 5, 11, 11, 53, 103, 237, 383, 927, 421, 4085, 3327, 169, 9941, 24753, 65437, 108173}},
-{18876, 18, 92121, {1, 1, 5, 11, 17, 59, 107, 53, 479, 143, 825, 2667, 5219, 6143, 11573, 33637, 124981, 98195}},
-{18877, 18, 92127, {1, 3, 3, 13, 3, 17, 61, 129, 475, 585, 1611, 1791, 7817, 4099, 20437, 51411, 130173, 220085}},
-{18878, 18, 92151, {1, 3, 3, 3, 27, 25, 33, 255, 361, 967, 1415, 3213, 3341, 15875, 32359, 53267, 27665, 178301}},
-{18879, 18, 92162, {1, 1, 5, 3, 13, 9, 91, 187, 173, 525, 1675, 2217, 4093, 2009, 16917, 18485, 104849, 163233}},
-{18880, 18, 92186, {1, 1, 1, 11, 3, 17, 125, 157, 9, 429, 1573, 2257, 7943, 9893, 5611, 64619, 4509, 200181}},
-{18881, 18, 92191, {1, 3, 1, 1, 3, 9, 83, 53, 315, 85, 1093, 2621, 663, 12369, 317, 6089, 16479, 225071}},
-{18882, 18, 92192, {1, 3, 3, 1, 25, 47, 57, 45, 219, 45, 945, 3989, 4889, 8989, 381, 52483, 57029, 253899}},
-{18883, 18, 92207, {1, 3, 3, 5, 3, 61, 75, 189, 53, 489, 553, 2381, 7485, 9941, 29733, 2611, 74119, 203647}},
-{18884, 18, 92260, {1, 3, 1, 11, 27, 63, 53, 61, 59, 613, 465, 867, 1985, 7605, 14301, 53847, 68547, 14717}},
-{18885, 18, 92282, {1, 3, 5, 11, 5, 41, 51, 11, 59, 761, 59, 267, 7273, 3061, 11223, 48825, 117869, 158551}},
-{18886, 18, 92288, {1, 3, 7, 1, 31, 47, 111, 43, 435, 997, 135, 3369, 6439, 5637, 13629, 13221, 90607, 86359}},
-{18887, 18, 92297, {1, 1, 1, 11, 23, 51, 109, 223, 495, 765, 1557, 3545, 305, 4949, 23931, 45115, 12121, 14487}},
-{18888, 18, 92303, {1, 3, 5, 9, 5, 25, 41, 249, 27, 375, 1339, 3647, 3529, 2077, 21091, 45523, 67191, 1257}},
-{18889, 18, 92315, {1, 1, 3, 7, 13, 15, 63, 45, 187, 761, 1245, 3381, 1817, 2491, 16469, 64417, 87333, 143103}},
-{18890, 18, 92322, {1, 1, 3, 13, 11, 33, 87, 11, 279, 689, 1047, 3935, 5359, 11309, 19735, 33259, 12347, 183653}},
-{18891, 18, 92327, {1, 1, 5, 7, 5, 49, 109, 221, 455, 167, 785, 1859, 4337, 14937, 209, 23435, 22923, 172985}},
-{18892, 18, 92341, {1, 3, 7, 9, 13, 7, 127, 117, 147, 741, 531, 2627, 2565, 11083, 30577, 42471, 77065, 120983}},
-{18893, 18, 92389, {1, 1, 7, 1, 5, 61, 115, 203, 15, 305, 1005, 2085, 2597, 4371, 11661, 33219, 53657, 40325}},
-{18894, 18, 92390, {1, 3, 7, 13, 13, 15, 69, 167, 369, 747, 1115, 1493, 4881, 2693, 32281, 27089, 56821, 121693}},
-{18895, 18, 92422, {1, 3, 5, 3, 19, 51, 101, 29, 411, 509, 847, 1033, 4135, 15561, 7045, 60757, 48479, 247295}},
-{18896, 18, 92439, {1, 1, 5, 3, 27, 47, 103, 123, 413, 71, 689, 2113, 4347, 1983, 25727, 20095, 3271, 133081}},
-{18897, 18, 92452, {1, 1, 3, 3, 5, 39, 87, 27, 505, 631, 689, 2591, 1955, 3205, 12681, 10821, 13343, 101505}},
-{18898, 18, 92470, {1, 3, 7, 9, 31, 23, 103, 223, 499, 721, 13, 1399, 7369, 3945, 27727, 7923, 60265, 197793}},
-{18899, 18, 92473, {1, 3, 3, 5, 27, 7, 119, 23, 371, 495, 1583, 3913, 5139, 12151, 17477, 10907, 121775, 13369}},
-{18900, 18, 92493, {1, 3, 7, 1, 19, 53, 91, 235, 161, 97, 37, 1115, 5909, 1943, 8137, 1541, 16253, 252151}},
-{18901, 18, 92508, {1, 3, 7, 5, 3, 1, 107, 241, 187, 253, 1225, 2827, 4191, 2749, 25629, 47465, 19969, 45035}},
-{18902, 18, 92517, {1, 3, 1, 5, 1, 29, 47, 233, 175, 313, 793, 2089, 6235, 6595, 27599, 20505, 63379, 8729}},
-{18903, 18, 92529, {1, 3, 7, 11, 15, 9, 87, 113, 389, 1, 1057, 3307, 3455, 1847, 1497, 28115, 92897, 2383}},
-{18904, 18, 92551, {1, 3, 7, 13, 19, 59, 45, 59, 49, 273, 1619, 1975, 5949, 9951, 7685, 52559, 42377, 29855}},
-{18905, 18, 92557, {1, 1, 3, 9, 19, 7, 119, 35, 85, 37, 269, 3443, 8015, 8061, 6001, 19123, 70643, 115513}},
-{18906, 18, 92596, {1, 1, 3, 15, 3, 19, 83, 171, 259, 207, 1495, 513, 5455, 4071, 27471, 15773, 66301, 228743}},
-{18907, 18, 92611, {1, 3, 7, 9, 3, 27, 93, 3, 471, 13, 677, 4067, 1941, 15345, 26629, 29419, 121593, 108669}},
-{18908, 18, 92613, {1, 3, 7, 15, 29, 43, 97, 41, 15, 181, 1969, 1901, 7237, 3879, 19337, 17659, 17957, 164667}},
-{18909, 18, 92642, {1, 3, 1, 1, 25, 33, 7, 41, 387, 469, 795, 781, 113, 4161, 29687, 32225, 73905, 137879}},
-{18910, 18, 92666, {1, 1, 3, 13, 9, 59, 89, 23, 393, 111, 1957, 719, 6179, 16183, 31331, 48015, 32147, 31691}},
-{18911, 18, 92684, {1, 3, 7, 5, 9, 45, 73, 219, 181, 51, 717, 1813, 2581, 1395, 17595, 23689, 89709, 201451}},
-{18912, 18, 92723, {1, 3, 7, 3, 1, 21, 15, 35, 131, 515, 803, 1429, 3855, 349, 11795, 26787, 6109, 117745}},
-{18913, 18, 92732, {1, 3, 3, 9, 7, 11, 57, 15, 491, 371, 1787, 85, 577, 11455, 27419, 20687, 2493, 209993}},
-{18914, 18, 92738, {1, 3, 7, 15, 5, 5, 87, 197, 93, 643, 247, 31, 357, 7377, 10509, 29883, 42747, 248861}},
-{18915, 18, 92783, {1, 3, 3, 3, 29, 33, 47, 253, 485, 25, 2003, 2953, 1629, 11549, 5697, 1135, 117761, 96411}},
-{18916, 18, 92808, {1, 3, 5, 1, 29, 5, 27, 187, 235, 423, 41, 1855, 4359, 15627, 28409, 49331, 37735, 68823}},
-{18917, 18, 92816, {1, 1, 5, 5, 21, 61, 67, 85, 41, 671, 1617, 3867, 7913, 1693, 18487, 1831, 100971, 168191}},
-{18918, 18, 92835, {1, 1, 7, 3, 1, 61, 111, 87, 55, 229, 217, 2801, 563, 13617, 9641, 22247, 16039, 113541}},
-{18919, 18, 92847, {1, 3, 5, 7, 5, 29, 67, 99, 91, 561, 1203, 643, 2607, 13421, 29695, 31925, 82985, 69031}},
-{18920, 18, 92879, {1, 1, 1, 1, 27, 7, 63, 107, 269, 163, 1711, 587, 5657, 15077, 24709, 10235, 95483, 94799}},
-{18921, 18, 92881, {1, 3, 3, 5, 29, 5, 127, 137, 67, 609, 1657, 1131, 959, 15773, 17295, 58575, 96525, 80529}},
-{18922, 18, 92884, {1, 3, 7, 7, 25, 15, 89, 93, 145, 695, 367, 2853, 3073, 4867, 26823, 31467, 94769, 9145}},
-{18923, 18, 92932, {1, 1, 7, 15, 15, 5, 1, 225, 57, 381, 1295, 2525, 1493, 2401, 91, 19809, 32803, 195289}},
-{18924, 18, 92935, {1, 3, 3, 7, 29, 51, 29, 63, 249, 107, 1689, 3703, 7227, 6967, 27861, 39167, 20043, 218827}},
-{18925, 18, 92960, {1, 1, 3, 13, 17, 1, 77, 143, 167, 255, 1709, 2089, 7465, 4805, 16185, 15167, 20493, 240855}},
-{18926, 18, 92990, {1, 1, 5, 1, 11, 43, 107, 175, 93, 955, 615, 2923, 3637, 7451, 18847, 53467, 12463, 127249}},
-{18927, 18, 93010, {1, 1, 3, 13, 31, 1, 61, 113, 479, 777, 1805, 3625, 6299, 12221, 29599, 60175, 31165, 122815}},
-{18928, 18, 93025, {1, 3, 3, 11, 11, 29, 89, 129, 195, 337, 1843, 2769, 1747, 7137, 9901, 18459, 25215, 70609}},
-{18929, 18, 93046, {1, 1, 3, 7, 17, 35, 55, 81, 413, 25, 1505, 2185, 3121, 11435, 17885, 12543, 36767, 64039}},
-{18930, 18, 93085, {1, 3, 1, 13, 25, 9, 83, 25, 5, 49, 1975, 3967, 4135, 13213, 26479, 63913, 14921, 96193}},
-{18931, 18, 93089, {1, 3, 7, 5, 17, 15, 101, 47, 245, 821, 1275, 3343, 5471, 5045, 31741, 3319, 8141, 95501}},
-{18932, 18, 93096, {1, 3, 1, 13, 1, 5, 105, 39, 175, 439, 1625, 249, 4859, 12449, 30529, 45669, 49071, 214037}},
-{18933, 18, 93145, {1, 1, 7, 7, 17, 21, 83, 123, 261, 559, 1967, 2933, 4417, 8331, 10119, 21793, 128729, 187247}},
-{18934, 18, 93155, {1, 1, 7, 9, 15, 43, 77, 231, 241, 419, 503, 3335, 927, 2567, 31259, 52453, 114441, 257449}},
-{18935, 18, 93169, {1, 3, 3, 1, 9, 29, 21, 89, 311, 185, 519, 271, 3595, 8951, 6105, 64593, 38209, 120491}},
-{18936, 18, 93179, {1, 1, 7, 9, 1, 57, 65, 5, 275, 615, 801, 2839, 2851, 15609, 28731, 31223, 87725, 437}},
-{18937, 18, 93184, {1, 3, 3, 5, 29, 3, 67, 53, 17, 499, 263, 651, 7963, 5371, 11593, 34761, 57427, 84979}},
-{18938, 18, 93204, {1, 3, 7, 11, 15, 9, 33, 165, 313, 659, 909, 969, 2309, 2197, 27263, 35273, 52887, 236107}},
-{18939, 18, 93211, {1, 1, 7, 1, 13, 17, 29, 3, 329, 573, 619, 1013, 6947, 7031, 30773, 41129, 116481, 184233}},
-{18940, 18, 93213, {1, 1, 5, 9, 13, 5, 87, 235, 63, 759, 1143, 1861, 3783, 2735, 26191, 64387, 3651, 119447}},
-{18941, 18, 93227, {1, 1, 3, 7, 15, 41, 117, 135, 273, 655, 251, 1859, 4363, 14725, 29385, 6269, 91505, 82679}},
-{18942, 18, 93285, {1, 3, 7, 3, 13, 21, 21, 9, 121, 899, 199, 1973, 7437, 9771, 26647, 30909, 118573, 152913}},
-{18943, 18, 93292, {1, 3, 3, 9, 31, 43, 5, 249, 109, 183, 161, 1185, 4025, 10331, 20983, 28549, 122687, 183429}},
-{18944, 18, 93320, {1, 3, 7, 7, 11, 45, 111, 99, 487, 971, 597, 1555, 273, 10403, 25289, 45483, 35845, 35791}},
-{18945, 18, 93356, {1, 1, 1, 7, 11, 49, 125, 229, 279, 289, 1945, 3575, 5683, 15659, 31123, 12517, 79303, 255797}},
-{18946, 18, 93371, {1, 3, 1, 15, 9, 23, 61, 53, 383, 855, 1743, 407, 4401, 7507, 26307, 56205, 110943, 184183}},
-{18947, 18, 93374, {1, 3, 5, 13, 23, 29, 101, 243, 417, 925, 1267, 257, 5893, 4335, 6309, 43519, 126035, 99205}},
-{18948, 18, 93385, {1, 3, 1, 5, 5, 35, 83, 25, 31, 455, 1799, 2919, 7037, 11829, 12239, 12969, 108469, 89513}},
-{18949, 18, 93403, {1, 3, 5, 9, 17, 29, 61, 217, 183, 131, 425, 4025, 7141, 5445, 21497, 10603, 53423, 5701}},
-{18950, 18, 93406, {1, 1, 1, 15, 27, 35, 9, 139, 261, 43, 587, 3835, 4627, 11689, 15739, 6031, 73547, 134271}},
-{18951, 18, 93427, {1, 1, 3, 3, 25, 15, 7, 225, 29, 785, 2047, 2219, 6083, 7973, 17053, 56167, 83915, 87597}},
-{18952, 18, 93451, {1, 3, 7, 15, 13, 43, 85, 121, 421, 867, 1895, 2437, 6003, 5269, 8625, 26877, 100023, 110229}},
-{18953, 18, 93454, {1, 3, 3, 3, 25, 49, 121, 1, 125, 353, 1811, 1575, 3925, 13897, 26087, 24977, 105995, 242817}},
-{18954, 18, 93472, {1, 1, 1, 9, 31, 55, 71, 241, 439, 927, 955, 109, 7779, 2397, 18797, 34177, 1255, 178671}},
-{18955, 18, 93482, {1, 1, 7, 7, 5, 15, 99, 225, 49, 407, 1711, 4027, 4845, 9209, 20983, 33969, 14205, 9351}},
-{18956, 18, 93507, {1, 3, 5, 1, 9, 13, 113, 143, 97, 189, 929, 1163, 2261, 9761, 30011, 32911, 117043, 169493}},
-{18957, 18, 93537, {1, 1, 3, 5, 9, 35, 95, 77, 5, 95, 1745, 2013, 7009, 5427, 18969, 2771, 5099, 52939}},
-{18958, 18, 93562, {1, 3, 7, 9, 13, 19, 31, 189, 367, 569, 95, 1665, 6231, 2169, 22589, 8427, 116097, 41077}},
-{18959, 18, 93564, {1, 3, 7, 3, 31, 61, 45, 233, 327, 541, 87, 3449, 2767, 12237, 17747, 53827, 80389, 121489}},
-{18960, 18, 93608, {1, 3, 7, 15, 31, 1, 49, 73, 157, 131, 553, 3417, 5283, 4737, 31675, 63213, 43689, 261869}},
-{18961, 18, 93636, {1, 3, 7, 1, 3, 5, 113, 43, 343, 39, 135, 1555, 7955, 9851, 30983, 21955, 34871, 147649}},
-{18962, 18, 93640, {1, 3, 5, 3, 5, 27, 15, 179, 141, 983, 265, 2651, 5907, 10501, 6275, 29629, 115965, 125745}},
-{18963, 18, 93653, {1, 3, 7, 13, 1, 1, 81, 105, 309, 457, 1817, 3435, 4615, 1181, 27835, 26075, 63447, 44701}},
-{18964, 18, 93654, {1, 1, 5, 5, 25, 19, 85, 103, 409, 323, 2001, 3719, 3403, 1301, 19615, 47829, 109905, 65777}},
-{18965, 18, 93664, {1, 3, 5, 3, 21, 15, 47, 75, 467, 273, 1885, 3929, 1877, 5209, 6881, 34431, 35663, 100205}},
-{18966, 18, 93676, {1, 1, 5, 3, 3, 9, 47, 143, 471, 653, 1011, 2263, 3673, 11921, 31207, 50365, 27177, 214377}},
-{18967, 18, 93721, {1, 3, 1, 15, 3, 43, 81, 253, 495, 139, 679, 2207, 4603, 5269, 27133, 46461, 120783, 185595}},
-{18968, 18, 93740, {1, 1, 7, 3, 13, 3, 109, 197, 477, 101, 859, 1035, 777, 10153, 15581, 22715, 17493, 120851}},
-{18969, 18, 93743, {1, 3, 1, 3, 23, 5, 121, 67, 265, 935, 741, 3311, 541, 1093, 1639, 5941, 5587, 150345}},
-{18970, 18, 93745, {1, 3, 1, 5, 3, 13, 65, 173, 493, 303, 359, 3813, 6007, 1105, 12185, 10431, 17117, 164899}},
-{18971, 18, 93751, {1, 3, 3, 1, 25, 33, 71, 181, 149, 7, 333, 1981, 2981, 14683, 10997, 63373, 22605, 119681}},
-{18972, 18, 93770, {1, 1, 1, 15, 29, 35, 89, 21, 281, 175, 587, 3117, 7221, 8239, 26399, 49133, 65895, 142175}},
-{18973, 18, 93796, {1, 3, 7, 15, 9, 9, 35, 161, 65, 749, 421, 3575, 6307, 2029, 11423, 63901, 102049, 26333}},
-{18974, 18, 93820, {1, 3, 1, 13, 1, 45, 97, 41, 231, 245, 271, 1497, 3119, 6225, 21665, 12113, 67315, 62779}},
-{18975, 18, 93824, {1, 1, 1, 7, 3, 29, 119, 193, 179, 353, 1015, 2803, 6869, 7653, 22309, 53421, 86969, 115549}},
-{18976, 18, 93833, {1, 3, 3, 5, 17, 37, 49, 129, 195, 537, 1237, 2775, 6683, 699, 19181, 61125, 27483, 175645}},
-{18977, 18, 93841, {1, 3, 7, 3, 7, 49, 107, 41, 285, 335, 1415, 4015, 1301, 6525, 32429, 9337, 87923, 176751}},
-{18978, 18, 93847, {1, 1, 5, 9, 21, 43, 91, 25, 225, 311, 417, 303, 2629, 3609, 29987, 28647, 104173, 52383}},
-{18979, 18, 93848, {1, 3, 5, 9, 13, 47, 75, 143, 109, 173, 503, 3843, 1767, 9433, 10009, 5653, 87339, 212975}},
-{18980, 18, 93854, {1, 3, 1, 13, 13, 55, 123, 95, 499, 245, 1875, 3661, 7661, 6927, 21003, 51729, 88089, 89063}},
-{18981, 18, 93882, {1, 1, 3, 1, 31, 7, 93, 35, 169, 191, 1079, 2137, 4401, 1563, 20021, 9101, 66881, 231589}},
-{18982, 18, 93943, {1, 3, 1, 15, 21, 41, 75, 231, 459, 701, 1715, 2581, 4445, 5877, 4765, 1037, 15827, 189529}},
-{18983, 18, 93958, {1, 3, 5, 13, 17, 23, 41, 133, 143, 297, 1335, 3907, 7745, 5139, 9397, 5765, 5347, 243091}},
-{18984, 18, 93972, {1, 1, 5, 13, 7, 15, 31, 183, 315, 153, 785, 2723, 97, 14361, 10509, 17717, 46615, 133289}},
-{18985, 18, 93975, {1, 3, 7, 9, 13, 3, 75, 103, 445, 409, 603, 201, 1873, 9277, 23953, 6881, 64327, 196771}},
-{18986, 18, 94003, {1, 1, 7, 13, 15, 21, 73, 183, 419, 997, 857, 1373, 3855, 417, 10175, 5253, 66509, 15731}},
-{18987, 18, 94009, {1, 3, 3, 9, 19, 7, 15, 119, 497, 25, 1165, 105, 2605, 15097, 28241, 2269, 519, 235655}},
-{18988, 18, 94020, {1, 3, 3, 9, 27, 9, 103, 205, 97, 317, 1621, 971, 931, 9099, 24583, 12695, 122399, 78021}},
-{18989, 18, 94072, {1, 1, 3, 5, 27, 45, 41, 239, 87, 603, 317, 3507, 7677, 9141, 26721, 40225, 80515, 205263}},
-{18990, 18, 94081, {1, 1, 3, 1, 25, 3, 63, 165, 41, 783, 291, 1997, 3769, 1881, 30613, 18821, 86175, 38837}},
-{18991, 18, 94093, {1, 1, 3, 5, 17, 19, 95, 17, 357, 587, 689, 3127, 6999, 6703, 23923, 55945, 97629, 210177}},
-{18992, 18, 94102, {1, 1, 3, 15, 21, 55, 63, 229, 397, 1007, 779, 2105, 681, 10659, 26679, 681, 115901, 83627}},
-{18993, 18, 94122, {1, 1, 7, 11, 25, 9, 47, 133, 109, 17, 697, 749, 5529, 9289, 29675, 2631, 15247, 13913}},
-{18994, 18, 94135, {1, 1, 7, 7, 3, 55, 29, 13, 467, 889, 675, 1187, 3301, 13721, 13783, 44559, 78177, 114219}},
-{18995, 18, 94136, {1, 3, 5, 13, 15, 11, 77, 71, 313, 427, 1385, 2007, 4003, 1529, 4797, 12289, 24897, 129513}},
-{18996, 18, 94150, {1, 1, 3, 11, 9, 47, 103, 253, 345, 659, 1109, 3493, 2515, 5669, 30551, 25077, 97393, 252689}},
-{18997, 18, 94184, {1, 3, 7, 9, 25, 19, 69, 161, 365, 51, 1365, 1045, 4319, 10035, 15529, 23251, 44359, 62163}},
-{18998, 18, 94187, {1, 3, 1, 7, 3, 25, 119, 33, 19, 561, 659, 2741, 6177, 899, 30911, 9627, 83003, 12939}},
-{18999, 18, 94258, {1, 3, 7, 1, 13, 37, 19, 161, 427, 621, 1045, 1963, 6067, 4439, 32507, 32775, 5201, 144645}},
-{19000, 18, 94264, {1, 1, 5, 7, 31, 17, 89, 239, 317, 109, 1827, 1395, 1587, 14813, 29911, 63545, 22939, 235383}},
-{19001, 18, 94272, {1, 1, 7, 15, 1, 17, 41, 123, 405, 539, 1063, 1443, 4611, 1847, 24107, 29365, 85859, 218601}},
-{19002, 18, 94278, {1, 1, 5, 13, 21, 27, 101, 223, 245, 705, 1579, 679, 5461, 8955, 15031, 7731, 31219, 165033}},
-{19003, 18, 94281, {1, 1, 7, 11, 19, 29, 13, 223, 179, 481, 761, 1543, 3195, 10695, 17147, 37577, 130901, 44699}},
-{19004, 18, 94317, {1, 1, 7, 3, 19, 53, 49, 1, 393, 583, 1183, 2817, 1293, 12949, 15491, 44467, 86261, 220439}},
-{19005, 18, 94348, {1, 3, 7, 15, 15, 47, 7, 125, 467, 511, 1207, 3787, 5575, 5359, 3859, 29933, 104627, 243073}},
-{19006, 18, 94376, {1, 1, 1, 13, 27, 25, 17, 243, 477, 457, 1835, 2859, 1023, 10107, 26829, 49853, 114569, 250471}},
-{19007, 18, 94382, {1, 3, 1, 15, 11, 43, 15, 235, 431, 671, 1935, 1143, 4121, 15403, 19313, 15919, 111961, 50455}},
-{19008, 18, 94387, {1, 3, 3, 3, 11, 45, 107, 143, 353, 671, 1259, 1599, 6075, 10645, 9131, 28133, 58679, 29883}},
-{19009, 18, 94389, {1, 3, 5, 15, 15, 43, 29, 171, 303, 71, 1751, 411, 7615, 12063, 26829, 31469, 34335, 3163}},
-{19010, 18, 94393, {1, 1, 7, 7, 25, 63, 25, 25, 27, 671, 505, 1235, 1985, 2593, 30031, 3251, 94729, 248911}},
-{19011, 18, 94402, {1, 1, 3, 1, 19, 15, 125, 133, 133, 209, 1749, 2091, 6325, 1275, 5675, 2249, 22631, 56293}},
-{19012, 18, 94421, {1, 1, 5, 1, 19, 27, 25, 99, 211, 739, 565, 3903, 7701, 7547, 12303, 5421, 24663, 22807}},
-{19013, 18, 94422, {1, 3, 5, 13, 5, 45, 99, 67, 21, 269, 851, 3333, 4555, 12483, 14645, 44757, 99047, 198521}},
-{19014, 18, 94431, {1, 1, 5, 13, 19, 1, 123, 87, 109, 799, 591, 2997, 1005, 16369, 10329, 34541, 100935, 200397}},
-{19015, 18, 94473, {1, 3, 5, 1, 13, 51, 93, 23, 19, 23, 965, 171, 6865, 3561, 23255, 44295, 87405, 222269}},
-{19016, 18, 94487, {1, 1, 3, 5, 1, 53, 25, 129, 123, 737, 271, 61, 113, 8481, 27075, 58633, 21499, 156689}},
-{19017, 18, 94504, {1, 3, 3, 11, 3, 43, 11, 123, 243, 1015, 1389, 3663, 1725, 6933, 5315, 7137, 127705, 56607}},
-{19018, 18, 94510, {1, 1, 5, 13, 7, 23, 43, 103, 503, 173, 267, 1509, 3311, 9553, 28851, 15771, 28741, 236427}},
-{19019, 18, 94522, {1, 1, 5, 15, 27, 43, 119, 3, 13, 107, 317, 3725, 6669, 4945, 30485, 10155, 96893, 154081}},
-{19020, 18, 94532, {1, 3, 7, 5, 11, 21, 61, 99, 155, 45, 569, 1325, 673, 15803, 12047, 55431, 9515, 106969}},
-{19021, 18, 94572, {1, 1, 7, 11, 27, 49, 121, 145, 105, 223, 1471, 1163, 3889, 4213, 21195, 45649, 14663, 82799}},
-{19022, 18, 94589, {1, 1, 3, 3, 31, 21, 17, 85, 31, 695, 1591, 2465, 907, 11621, 29681, 13131, 77187, 175913}},
-{19023, 18, 94599, {1, 3, 5, 5, 21, 49, 77, 229, 359, 825, 1851, 1223, 3351, 5349, 30971, 20797, 26975, 94425}},
-{19024, 18, 94603, {1, 1, 3, 1, 3, 63, 23, 219, 503, 47, 1675, 1641, 5257, 8035, 29793, 30093, 44897, 235691}},
-{19025, 18, 94647, {1, 1, 7, 9, 27, 37, 109, 33, 511, 203, 1195, 3281, 407, 15237, 28485, 21379, 106325, 231755}},
-{19026, 18, 94665, {1, 3, 1, 3, 9, 45, 19, 31, 255, 799, 909, 767, 421, 3301, 18557, 15043, 48505, 36763}},
-{19027, 18, 94695, {1, 3, 7, 13, 1, 45, 59, 233, 319, 265, 517, 1571, 4593, 12813, 30729, 19517, 70345, 142411}},
-{19028, 18, 94716, {1, 1, 1, 13, 17, 15, 79, 93, 265, 381, 285, 253, 919, 3715, 30555, 38801, 30439, 51511}},
-{19029, 18, 94738, {1, 1, 7, 15, 25, 39, 71, 57, 145, 487, 1655, 2589, 7655, 8413, 24537, 36761, 36427, 88929}},
-{19030, 18, 94740, {1, 1, 3, 3, 29, 41, 61, 191, 97, 849, 911, 3269, 5425, 13997, 7749, 537, 113705, 179765}},
-{19031, 18, 94778, {1, 1, 5, 9, 13, 55, 33, 221, 27, 521, 13, 2847, 6035, 8397, 6579, 29353, 101953, 88983}},
-{19032, 18, 94803, {1, 3, 3, 13, 31, 47, 97, 177, 373, 353, 159, 249, 4741, 7427, 8353, 38617, 13857, 122081}},
-{19033, 18, 94810, {1, 3, 5, 15, 13, 21, 1, 239, 369, 253, 1009, 1927, 5111, 2219, 28167, 32013, 51487, 210521}},
-{19034, 18, 94815, {1, 3, 5, 9, 17, 21, 37, 105, 405, 39, 321, 1515, 3759, 15469, 13643, 60157, 72127, 233505}},
-{19035, 18, 94821, {1, 3, 7, 5, 1, 3, 3, 125, 283, 757, 829, 2303, 3715, 6027, 17795, 37359, 54721, 5891}},
-{19036, 18, 94862, {1, 3, 7, 15, 27, 63, 117, 101, 341, 965, 1543, 51, 3397, 14051, 9889, 64647, 111169, 249477}},
-{19037, 18, 94886, {1, 1, 5, 13, 5, 29, 51, 61, 233, 685, 751, 163, 2319, 14691, 29881, 39029, 57093, 240147}},
-{19038, 18, 94900, {1, 3, 5, 3, 9, 21, 107, 147, 263, 471, 621, 3485, 197, 13271, 24689, 64341, 110163, 142711}},
-{19039, 18, 94924, {1, 3, 1, 7, 1, 23, 17, 31, 131, 631, 795, 3751, 5337, 9151, 2873, 31113, 65303, 244969}},
-{19040, 18, 94952, {1, 1, 5, 11, 3, 51, 93, 155, 389, 859, 1181, 2711, 1375, 6119, 229, 47767, 115521, 114129}},
-{19041, 18, 94963, {1, 3, 3, 15, 5, 7, 29, 187, 259, 911, 1537, 1885, 6139, 4549, 21655, 58771, 1003, 124609}},
-{19042, 18, 94970, {1, 1, 3, 15, 25, 45, 97, 217, 331, 305, 1105, 3465, 3651, 10171, 31601, 6947, 4545, 232627}},
-{19043, 18, 94980, {1, 1, 5, 5, 9, 53, 109, 201, 473, 201, 1113, 973, 1825, 13089, 1207, 9947, 92515, 216199}},
-{19044, 18, 94992, {1, 3, 7, 3, 1, 49, 25, 109, 249, 489, 1663, 3493, 4615, 13899, 27851, 60711, 14351, 41787}},
-{19045, 18, 95017, {1, 3, 3, 7, 3, 15, 29, 53, 61, 669, 371, 2187, 6769, 4623, 25785, 12997, 52263, 28387}},
-{19046, 18, 95028, {1, 1, 1, 3, 9, 31, 69, 3, 441, 219, 285, 183, 1971, 10903, 8271, 19389, 61913, 203537}},
-{19047, 18, 95031, {1, 1, 5, 3, 9, 63, 117, 131, 53, 525, 1349, 2701, 1317, 6047, 1661, 51785, 93199, 158645}},
-{19048, 18, 95035, {1, 3, 5, 3, 21, 61, 11, 91, 317, 635, 61, 1919, 2139, 12817, 6587, 63201, 52659, 8971}},
-{19049, 18, 95040, {1, 3, 1, 9, 11, 47, 49, 35, 115, 711, 511, 835, 3787, 837, 15737, 7467, 53263, 132047}},
-{19050, 18, 95058, {1, 1, 5, 3, 27, 47, 121, 211, 65, 363, 1067, 3813, 6353, 13701, 23943, 7573, 112721, 219587}},
-{19051, 18, 95079, {1, 1, 3, 7, 21, 39, 15, 199, 113, 517, 1429, 1399, 6007, 1389, 16425, 17709, 1231, 51803}},
-{19052, 18, 95122, {1, 3, 5, 11, 5, 37, 35, 97, 215, 281, 517, 1777, 4171, 10161, 18369, 23233, 83005, 75519}},
-{19053, 18, 95149, {1, 3, 7, 9, 3, 9, 69, 111, 135, 351, 971, 3551, 3739, 3571, 22861, 62669, 83723, 10707}},
-{19054, 18, 95150, {1, 3, 3, 5, 31, 35, 103, 205, 321, 553, 409, 363, 4085, 7735, 5513, 64249, 127883, 147839}},
-{19055, 18, 95167, {1, 1, 7, 3, 23, 35, 85, 231, 251, 237, 421, 757, 7081, 11247, 24941, 22649, 51111, 157383}},
-{19056, 18, 95175, {1, 3, 7, 5, 23, 35, 7, 101, 491, 529, 1437, 489, 5057, 12955, 27543, 60903, 104151, 42545}},
-{19057, 18, 95205, {1, 1, 3, 15, 23, 53, 85, 89, 247, 269, 1555, 3789, 467, 11145, 11751, 44343, 120117, 9975}},
-{19058, 18, 95229, {1, 1, 5, 3, 29, 49, 123, 179, 311, 45, 1839, 2725, 7307, 5525, 32075, 7979, 107751, 133677}},
-{19059, 18, 95321, {1, 1, 5, 3, 31, 21, 65, 229, 31, 597, 755, 2653, 2699, 2075, 11693, 28953, 55811, 13653}},
-{19060, 18, 95345, {1, 1, 1, 7, 25, 51, 119, 21, 245, 493, 407, 2997, 4255, 15487, 26359, 24153, 42955, 142191}},
-{19061, 18, 95364, {1, 1, 5, 3, 27, 61, 13, 209, 13, 401, 399, 2909, 3623, 8057, 21301, 32273, 112127, 210221}},
-{19062, 18, 95379, {1, 3, 5, 13, 3, 19, 121, 19, 57, 583, 947, 3591, 5283, 10831, 20429, 54097, 7559, 112465}},
-{19063, 18, 95386, {1, 3, 5, 1, 21, 1, 125, 245, 217, 165, 1319, 2119, 4641, 9481, 4147, 7079, 119015, 128401}},
-{19064, 18, 95395, {1, 1, 5, 3, 3, 31, 25, 63, 17, 191, 497, 819, 1515, 11215, 24961, 7679, 125801, 239521}},
-{19065, 18, 95416, {1, 1, 5, 1, 3, 25, 27, 43, 37, 863, 739, 2585, 773, 799, 17649, 21171, 123541, 164777}},
-{19066, 18, 95419, {1, 3, 5, 7, 7, 25, 15, 251, 305, 159, 1941, 3655, 2881, 15123, 10911, 35541, 62221, 175845}},
-{19067, 18, 95433, {1, 1, 1, 9, 19, 5, 103, 1, 417, 951, 139, 2413, 2983, 15471, 9495, 41349, 110175, 29501}},
-{19068, 18, 95464, {1, 1, 1, 5, 29, 53, 95, 173, 211, 803, 1599, 4093, 5559, 15855, 12271, 12583, 102221, 203453}},
-{19069, 18, 95490, {1, 3, 5, 5, 19, 43, 31, 175, 493, 289, 1865, 2925, 3833, 11327, 23337, 62669, 99485, 230583}},
-{19070, 18, 95496, {1, 3, 3, 11, 11, 25, 95, 215, 501, 421, 725, 1571, 2133, 2761, 8649, 45359, 88851, 55057}},
-{19071, 18, 95504, {1, 1, 7, 7, 21, 45, 69, 63, 399, 929, 1431, 3397, 3613, 14595, 10417, 62913, 106283, 120869}},
-{19072, 18, 95513, {1, 3, 7, 15, 13, 45, 11, 177, 125, 611, 1115, 2441, 2689, 12517, 8989, 34991, 23789, 51543}},
-{19073, 18, 95523, {1, 1, 3, 1, 3, 15, 5, 125, 511, 137, 1919, 2953, 5267, 3543, 5485, 7463, 130407, 255945}},
-{19074, 18, 95525, {1, 1, 3, 7, 7, 21, 95, 97, 51, 91, 813, 2819, 2839, 12041, 26197, 20143, 51403, 171337}},
-{19075, 18, 95558, {1, 1, 1, 1, 7, 27, 15, 125, 441, 387, 1869, 2157, 5863, 581, 893, 58827, 104063, 93735}},
-{19076, 18, 95572, {1, 3, 3, 7, 27, 9, 79, 97, 465, 207, 931, 2809, 2225, 13749, 18819, 30605, 9829, 130743}},
-{19077, 18, 95591, {1, 3, 5, 13, 31, 41, 19, 147, 293, 725, 297, 397, 1343, 12669, 15339, 58599, 12113, 149835}},
-{19078, 18, 95609, {1, 3, 3, 13, 27, 13, 121, 253, 349, 229, 915, 1673, 3819, 77, 20691, 53823, 78265, 138743}},
-{19079, 18, 95619, {1, 1, 5, 5, 29, 41, 65, 235, 123, 871, 1809, 3013, 3531, 1551, 8441, 23481, 58729, 117639}},
-{19080, 18, 95625, {1, 1, 7, 5, 23, 55, 89, 81, 201, 313, 1307, 2427, 2025, 8543, 26631, 58655, 122095, 247579}},
-{19081, 18, 95633, {1, 3, 1, 5, 3, 63, 89, 219, 449, 9, 1771, 2915, 5925, 13773, 26119, 61309, 65107, 33001}},
-{19082, 18, 95649, {1, 3, 7, 1, 27, 11, 25, 221, 139, 665, 1543, 2157, 7617, 9135, 567, 64985, 88749, 54223}},
-{19083, 18, 95652, {1, 1, 3, 9, 13, 41, 7, 99, 483, 115, 1499, 3343, 7207, 1805, 16031, 63707, 8555, 90959}},
-{19084, 18, 95655, {1, 3, 1, 9, 15, 53, 41, 239, 295, 47, 1645, 1095, 5163, 7739, 26635, 28245, 9315, 100629}},
-{19085, 18, 95696, {1, 3, 1, 5, 1, 19, 69, 5, 171, 669, 673, 633, 6895, 7571, 11539, 25133, 99235, 7991}},
-{19086, 18, 95721, {1, 3, 5, 11, 21, 37, 63, 77, 281, 307, 1711, 2671, 1315, 14683, 28757, 22751, 56477, 190805}},
-{19087, 18, 95766, {1, 3, 3, 5, 15, 1, 5, 21, 199, 161, 655, 1263, 3315, 16051, 2409, 773, 9075, 121265}},
-{19088, 18, 95772, {1, 3, 3, 3, 7, 23, 71, 195, 11, 263, 1845, 165, 3489, 447, 11315, 23861, 110949, 78909}},
-{19089, 18, 95775, {1, 1, 7, 5, 1, 53, 37, 9, 439, 135, 909, 457, 6993, 11401, 14065, 30795, 56149, 168013}},
-{19090, 18, 95794, {1, 1, 1, 15, 23, 37, 13, 87, 113, 251, 233, 725, 7757, 14399, 3023, 54277, 87879, 54053}},
-{19091, 18, 95796, {1, 3, 5, 11, 11, 57, 109, 171, 171, 17, 343, 2749, 6525, 9735, 11715, 23783, 54439, 82819}},
-{19092, 18, 95818, {1, 1, 1, 15, 3, 47, 73, 237, 399, 301, 947, 2055, 1909, 14105, 26893, 47805, 25, 172957}},
-{19093, 18, 95820, {1, 1, 7, 7, 11, 27, 93, 167, 117, 637, 351, 319, 4605, 12897, 31001, 39655, 53551, 246113}},
-{19094, 18, 95832, {1, 3, 5, 15, 3, 37, 25, 9, 421, 519, 257, 3251, 1649, 4069, 999, 59367, 112383, 32095}},
-{19095, 18, 95842, {1, 3, 7, 7, 25, 57, 11, 37, 271, 545, 1213, 1927, 6471, 5145, 22995, 51051, 126981, 260457}},
-{19096, 18, 95851, {1, 3, 5, 11, 1, 61, 77, 201, 395, 199, 477, 103, 4069, 7003, 26371, 49145, 103839, 195661}},
-{19097, 18, 95854, {1, 3, 3, 9, 13, 41, 25, 125, 161, 371, 179, 351, 7169, 7179, 21627, 57793, 104679, 158583}},
-{19098, 18, 95859, {1, 3, 7, 11, 5, 7, 111, 163, 201, 783, 189, 273, 2751, 13917, 28501, 18261, 12755, 15521}},
-{19099, 18, 95868, {1, 1, 5, 7, 3, 37, 121, 209, 503, 299, 1301, 3703, 2321, 99, 14953, 28087, 85059, 256911}},
-{19100, 18, 95881, {1, 3, 3, 13, 3, 29, 95, 249, 383, 971, 1291, 13, 1587, 3447, 26477, 15837, 111141, 73899}},
-{19101, 18, 95895, {1, 1, 7, 1, 17, 57, 31, 1, 219, 329, 19, 3841, 1829, 5179, 14945, 6625, 3783, 200583}},
-{19102, 18, 95943, {1, 3, 1, 3, 1, 31, 23, 17, 209, 383, 297, 3065, 4323, 7847, 30189, 56541, 57535, 24853}},
-{19103, 18, 95949, {1, 1, 3, 11, 31, 35, 125, 141, 251, 79, 161, 775, 2455, 6959, 26433, 39145, 26563, 665}},
-{19104, 18, 95978, {1, 1, 7, 1, 11, 9, 9, 211, 231, 723, 1337, 1713, 3779, 2001, 23451, 27107, 64297, 254943}},
-{19105, 18, 95980, {1, 3, 7, 15, 21, 55, 19, 159, 449, 837, 1259, 1851, 5061, 355, 21531, 63479, 114657, 139265}},
-{19106, 18, 96010, {1, 1, 1, 3, 11, 55, 103, 179, 363, 567, 421, 981, 7221, 2077, 19339, 1155, 67019, 218231}},
-{19107, 18, 96020, {1, 1, 7, 11, 3, 43, 55, 161, 347, 995, 1555, 3251, 1605, 13313, 4499, 19361, 60145, 71593}},
-{19108, 18, 96024, {1, 1, 5, 3, 9, 15, 119, 213, 455, 241, 857, 683, 1247, 13085, 23919, 20365, 16303, 73263}},
-{19109, 18, 96063, {1, 1, 3, 13, 25, 17, 45, 193, 375, 289, 1381, 3629, 3015, 15883, 20633, 7431, 108787, 233297}},
-{19110, 18, 96108, {1, 1, 1, 15, 21, 57, 105, 91, 233, 961, 1623, 3849, 711, 3857, 32657, 5935, 85113, 38287}},
-{19111, 18, 96125, {1, 3, 3, 3, 15, 31, 97, 217, 335, 385, 1661, 3927, 6849, 137, 28871, 56485, 32777, 260033}},
-{19112, 18, 96154, {1, 1, 3, 13, 5, 61, 19, 255, 123, 481, 1865, 1815, 3047, 173, 25363, 1277, 6453, 174405}},
-{19113, 18, 96172, {1, 3, 7, 13, 27, 9, 19, 21, 433, 857, 1931, 2927, 629, 7733, 13503, 48263, 67517, 26495}},
-{19114, 18, 96189, {1, 1, 1, 3, 5, 43, 61, 239, 81, 585, 187, 1123, 3319, 8699, 20925, 40815, 76575, 169383}},
-{19115, 18, 96204, {1, 3, 3, 3, 9, 49, 71, 225, 95, 365, 645, 237, 7829, 5727, 17031, 58971, 71415, 232423}},
-{19116, 18, 96219, {1, 3, 5, 9, 25, 49, 113, 47, 105, 609, 1557, 2099, 2129, 8663, 24811, 25505, 38153, 185821}},
-{19117, 18, 96256, {1, 3, 5, 13, 23, 55, 107, 17, 309, 807, 635, 1007, 6207, 3363, 7607, 25013, 4141, 171509}},
-{19118, 18, 96261, {1, 1, 1, 13, 27, 35, 31, 89, 109, 879, 1845, 3999, 5415, 8777, 9605, 29703, 28149, 36469}},
-{19119, 18, 96289, {1, 3, 1, 3, 13, 3, 51, 31, 479, 549, 1245, 2033, 961, 13893, 21829, 32791, 109497, 187425}},
-{19120, 18, 96292, {1, 1, 5, 3, 19, 5, 25, 187, 173, 869, 201, 3851, 7369, 6229, 16577, 45623, 19859, 209855}},
-{19121, 18, 96296, {1, 1, 7, 9, 1, 9, 53, 47, 289, 557, 999, 141, 3789, 3087, 30217, 24221, 81431, 157507}},
-{19122, 18, 96324, {1, 1, 3, 9, 1, 25, 11, 73, 155, 155, 621, 4047, 6759, 5641, 28147, 8523, 69439, 92613}},
-{19123, 18, 96345, {1, 3, 1, 5, 25, 23, 41, 79, 71, 793, 1381, 307, 7863, 16289, 28783, 5299, 128481, 222799}},
-{19124, 18, 96346, {1, 1, 7, 1, 17, 33, 117, 111, 15, 249, 1397, 1349, 4883, 6009, 3179, 33509, 56355, 31937}},
-{19125, 18, 96358, {1, 3, 5, 13, 29, 15, 41, 185, 91, 501, 571, 2889, 6901, 3875, 3737, 23657, 101587, 261181}},
-{19126, 18, 96386, {1, 1, 7, 9, 21, 49, 33, 143, 19, 203, 75, 1353, 585, 7719, 11311, 48989, 10803, 51743}},
-{19127, 18, 96412, {1, 1, 7, 13, 23, 31, 103, 209, 375, 817, 1461, 3657, 7931, 15893, 15065, 28721, 54299, 71147}},
-{19128, 18, 96428, {1, 3, 7, 7, 7, 25, 37, 173, 355, 499, 247, 459, 7701, 2219, 11703, 20631, 128857, 125367}},
-{19129, 18, 96445, {1, 1, 3, 5, 25, 61, 43, 135, 451, 667, 547, 443, 5071, 12671, 26975, 20131, 101545, 115281}},
-{19130, 18, 96446, {1, 3, 3, 5, 9, 19, 75, 133, 211, 585, 1283, 3397, 3181, 65, 20213, 47725, 101883, 194749}},
-{19131, 18, 96448, {1, 1, 1, 1, 19, 13, 75, 135, 111, 641, 765, 1631, 4711, 241, 15125, 38233, 95535, 177965}},
-{19132, 18, 96458, {1, 1, 7, 13, 31, 1, 91, 61, 299, 35, 1327, 3903, 6193, 5589, 6331, 6321, 105741, 89639}},
-{19133, 18, 96475, {1, 3, 3, 15, 1, 55, 11, 39, 171, 713, 973, 1827, 3487, 13057, 30775, 16881, 124989, 208193}},
-{19134, 18, 96482, {1, 3, 7, 1, 21, 29, 19, 75, 397, 755, 1601, 2907, 6861, 10377, 23127, 2443, 86545, 3841}},
-{19135, 18, 96494, {1, 3, 1, 11, 25, 33, 53, 195, 343, 425, 1523, 3051, 3115, 3205, 3457, 20521, 39187, 33307}},
-{19136, 18, 96502, {1, 3, 5, 1, 25, 23, 47, 5, 133, 511, 1549, 2691, 7861, 4987, 2877, 38693, 37491, 22481}},
-{19137, 18, 96508, {1, 1, 5, 15, 5, 55, 125, 231, 11, 451, 1443, 3865, 4115, 2379, 13675, 29953, 85721, 114859}},
-{19138, 18, 96511, {1, 3, 1, 15, 19, 37, 29, 75, 483, 785, 1933, 2435, 1811, 2787, 32653, 23159, 80993, 26867}},
-{19139, 18, 96516, {1, 1, 1, 15, 7, 27, 53, 99, 11, 693, 1085, 743, 939, 6461, 6391, 45913, 94037, 217039}},
-{19140, 18, 96520, {1, 3, 3, 9, 19, 37, 93, 77, 363, 125, 1675, 347, 5599, 7771, 23549, 39945, 106931, 127959}},
-{19141, 18, 96547, {1, 3, 1, 5, 27, 47, 107, 85, 31, 621, 1529, 2349, 7055, 889, 4663, 1705, 40011, 214775}},
-{19142, 18, 96556, {1, 3, 1, 5, 11, 47, 35, 13, 139, 783, 1009, 845, 4139, 14713, 24191, 17597, 124923, 219657}},
-{19143, 18, 96561, {1, 1, 7, 3, 3, 25, 63, 207, 361, 587, 763, 3027, 6523, 6783, 11203, 57313, 115397, 149921}},
-{19144, 18, 96568, {1, 1, 7, 1, 21, 55, 109, 183, 487, 869, 195, 83, 3675, 13103, 12383, 63519, 48379, 256443}},
-{19145, 18, 96581, {1, 3, 7, 13, 9, 21, 29, 163, 105, 871, 747, 2459, 7383, 439, 5223, 1655, 1469, 50345}},
-{19146, 18, 96582, {1, 3, 1, 1, 15, 63, 37, 159, 385, 795, 1369, 1973, 6119, 6027, 23913, 52475, 80827, 198261}},
-{19147, 18, 96679, {1, 3, 3, 11, 15, 5, 121, 231, 43, 907, 1621, 3895, 5075, 10865, 3123, 49657, 69827, 215813}},
-{19148, 18, 96683, {1, 3, 1, 15, 7, 41, 75, 105, 87, 899, 629, 1699, 5861, 9279, 30107, 37443, 7555, 64461}},
-{19149, 18, 96717, {1, 3, 1, 7, 9, 15, 119, 127, 121, 621, 1117, 1659, 605, 13705, 31181, 40063, 17257, 77645}},
-{19150, 18, 96754, {1, 1, 5, 5, 3, 37, 95, 237, 379, 375, 903, 257, 4425, 14191, 9185, 57133, 82067, 73521}},
-{19151, 18, 96769, {1, 1, 7, 15, 1, 43, 63, 45, 121, 669, 1775, 179, 7385, 3557, 17261, 379, 24759, 214831}},
-{19152, 18, 96799, {1, 1, 3, 9, 31, 5, 43, 153, 451, 573, 1623, 2831, 4483, 7219, 27657, 47111, 58165, 145799}},
-{19153, 18, 96805, {1, 1, 3, 11, 3, 11, 111, 83, 329, 807, 779, 1223, 6095, 7269, 22425, 19343, 11937, 10173}},
-{19154, 18, 96809, {1, 1, 1, 13, 27, 15, 7, 111, 37, 663, 51, 3759, 6321, 8253, 737, 59501, 109595, 177827}},
-{19155, 18, 96823, {1, 1, 3, 3, 29, 39, 79, 115, 307, 765, 331, 377, 1873, 14491, 11065, 11865, 76717, 29101}},
-{19156, 18, 96829, {1, 3, 7, 3, 21, 45, 97, 213, 309, 3, 483, 3933, 1043, 8519, 22517, 34675, 78819, 172479}},
-{19157, 18, 96832, {1, 3, 5, 3, 31, 51, 27, 137, 405, 427, 815, 43, 6551, 10971, 28589, 53077, 36639, 167661}},
-{19158, 18, 96850, {1, 3, 1, 3, 29, 5, 111, 19, 343, 21, 557, 4067, 1525, 12793, 11513, 48869, 78035, 171531}},
-{19159, 18, 96856, {1, 1, 5, 7, 25, 47, 53, 245, 135, 137, 1697, 2057, 3147, 15903, 26979, 2157, 43967, 207661}},
-{19160, 18, 96906, {1, 1, 5, 3, 25, 11, 15, 59, 511, 307, 757, 3275, 1299, 10373, 11943, 54169, 32417, 21645}},
-{19161, 18, 96962, {1, 3, 3, 11, 15, 15, 5, 137, 237, 741, 1613, 3565, 7359, 6181, 25953, 18137, 59759, 186693}},
-{19162, 18, 96974, {1, 3, 5, 3, 19, 13, 99, 167, 45, 71, 1683, 3635, 7603, 14879, 23903, 14795, 58395, 11853}},
-{19163, 18, 96979, {1, 3, 1, 7, 15, 45, 111, 111, 175, 567, 1031, 2255, 3895, 11861, 20195, 15461, 88411, 225713}},
-{19164, 18, 96997, {1, 1, 7, 3, 5, 5, 85, 65, 231, 643, 1591, 219, 2929, 4845, 29327, 14769, 46629, 131367}},
-{19165, 18, 96998, {1, 1, 5, 9, 29, 21, 47, 87, 113, 469, 1647, 2461, 3663, 5865, 6647, 41345, 39539, 220301}},
-{19166, 18, 97002, {1, 1, 5, 11, 9, 55, 5, 147, 141, 181, 283, 1695, 6537, 11095, 10385, 36013, 111653, 182273}},
-{19167, 18, 97054, {1, 1, 3, 5, 17, 45, 103, 253, 407, 151, 1585, 1585, 6661, 14579, 5723, 37641, 56813, 258819}},
-{19168, 18, 97064, {1, 3, 3, 3, 5, 63, 85, 201, 87, 419, 1993, 737, 5859, 6049, 17393, 9453, 65915, 1731}},
-{19169, 18, 97067, {1, 1, 3, 3, 3, 27, 97, 135, 137, 731, 1559, 3409, 5973, 15981, 19833, 8419, 33273, 44155}},
-{19170, 18, 97110, {1, 3, 3, 9, 31, 55, 109, 191, 119, 59, 645, 1047, 7767, 8379, 13781, 52289, 31605, 186667}},
-{19171, 18, 97116, {1, 3, 1, 15, 9, 1, 23, 31, 23, 311, 1879, 1939, 5509, 14573, 10501, 38867, 39131, 231151}},
-{19172, 18, 97137, {1, 3, 7, 1, 31, 33, 33, 19, 475, 723, 795, 1793, 6639, 14349, 16639, 31473, 110411, 95703}},
-{19173, 18, 97138, {1, 1, 5, 9, 11, 3, 39, 119, 455, 839, 513, 2423, 2219, 6059, 6125, 60995, 117701, 204057}},
-{19174, 18, 97143, {1, 1, 1, 9, 5, 23, 87, 33, 59, 241, 1427, 3867, 1091, 14683, 21651, 7091, 38011, 63809}},
-{19175, 18, 97183, {1, 1, 7, 15, 15, 23, 75, 227, 415, 1015, 2033, 1311, 6659, 5093, 14799, 65331, 96989, 170395}},
-{19176, 18, 97187, {1, 3, 5, 15, 25, 61, 33, 179, 503, 875, 1853, 257, 6727, 9117, 16777, 29585, 110901, 231617}},
-{19177, 18, 97190, {1, 1, 1, 15, 13, 53, 73, 151, 315, 887, 669, 3959, 5279, 1461, 15497, 40107, 9595, 252059}},
-{19178, 18, 97202, {1, 3, 7, 13, 17, 45, 43, 61, 99, 555, 981, 3255, 6385, 8723, 24451, 45243, 68617, 171911}},
-{19179, 18, 97219, {1, 3, 3, 11, 1, 29, 97, 219, 341, 597, 503, 773, 3777, 5431, 4581, 37169, 57269, 186377}},
-{19180, 18, 97239, {1, 3, 1, 11, 15, 49, 119, 189, 279, 821, 1541, 1343, 4379, 5833, 26537, 29769, 121125, 202553}},
-{19181, 18, 97245, {1, 3, 5, 9, 19, 23, 5, 197, 323, 101, 1155, 7, 5933, 3111, 19595, 36807, 40147, 153}},
-{19182, 18, 97246, {1, 1, 5, 11, 17, 9, 83, 51, 185, 415, 367, 1431, 7803, 8253, 16283, 54545, 99733, 57777}},
-{19183, 18, 97249, {1, 1, 5, 7, 5, 31, 41, 13, 33, 531, 1381, 781, 1699, 6321, 18125, 34567, 113253, 104181}},
-{19184, 18, 97264, {1, 3, 1, 5, 1, 59, 37, 239, 343, 395, 121, 2181, 2485, 13825, 19127, 22689, 103023, 198213}},
-{19185, 18, 97267, {1, 3, 1, 15, 29, 17, 11, 27, 413, 273, 1805, 2845, 8147, 10301, 5423, 29859, 85243, 190379}},
-{19186, 18, 97269, {1, 3, 1, 15, 7, 61, 29, 135, 273, 951, 725, 1345, 4231, 13651, 31291, 6081, 85735, 96023}},
-{19187, 18, 97274, {1, 1, 3, 11, 15, 29, 81, 129, 245, 295, 527, 3905, 4323, 5447, 21253, 51177, 105105, 48323}},
-{19188, 18, 97282, {1, 1, 3, 13, 13, 45, 71, 43, 383, 95, 1689, 639, 4631, 15113, 28053, 49247, 128303, 183999}},
-{19189, 18, 97287, {1, 1, 1, 3, 19, 31, 93, 35, 369, 765, 1201, 1625, 7683, 8719, 13843, 42723, 62323, 49431}},
-{19190, 18, 97294, {1, 3, 3, 11, 5, 39, 49, 217, 109, 63, 1753, 2489, 6017, 403, 16657, 59577, 80255, 66071}},
-{19191, 18, 97299, {1, 3, 5, 5, 11, 1, 79, 37, 261, 537, 1845, 3567, 3233, 16249, 9795, 2471, 69661, 118231}},
-{19192, 18, 97306, {1, 3, 3, 1, 19, 61, 35, 253, 31, 19, 161, 2597, 5733, 8231, 26569, 38613, 121945, 137391}},
-{19193, 18, 97347, {1, 3, 7, 3, 15, 25, 125, 231, 187, 797, 1237, 1767, 1557, 1095, 13613, 43325, 33801, 127881}},
-{19194, 18, 97361, {1, 1, 1, 9, 23, 63, 75, 107, 311, 493, 471, 2985, 1861, 4285, 27125, 14961, 122567, 152033}},
-{19195, 18, 97371, {1, 3, 5, 7, 9, 7, 43, 117, 203, 727, 101, 3831, 3201, 2327, 4675, 12085, 25131, 211835}},
-{19196, 18, 97435, {1, 1, 7, 11, 17, 1, 5, 87, 291, 1023, 1345, 3879, 7739, 9201, 19573, 20037, 128711, 187263}},
-{19197, 18, 97466, {1, 1, 3, 13, 25, 39, 71, 251, 365, 617, 1539, 2121, 3803, 8003, 23393, 56991, 56143, 223453}},
-{19198, 18, 97473, {1, 3, 5, 13, 25, 61, 71, 139, 319, 399, 903, 3063, 3667, 275, 13297, 25285, 120417, 169613}},
-{19199, 18, 97474, {1, 3, 1, 9, 9, 41, 59, 213, 195, 705, 313, 2313, 4993, 323, 24049, 30527, 27287, 80489}},
-{19200, 18, 97559, {1, 1, 5, 1, 29, 57, 107, 161, 217, 295, 721, 3857, 1935, 14981, 12243, 38541, 51177, 248889}},
-{19201, 18, 97565, {1, 1, 1, 15, 5, 25, 95, 137, 11, 215, 971, 1573, 4341, 4725, 8201, 33147, 87687, 187405}},
-{19202, 18, 97587, {1, 3, 3, 9, 9, 13, 31, 3, 175, 309, 145, 2265, 4863, 7199, 23881, 15445, 123753, 126653}},
-{19203, 18, 97611, {1, 1, 7, 3, 7, 43, 51, 191, 21, 639, 939, 691, 7823, 10529, 7757, 9291, 115045, 51539}},
-{19204, 18, 97622, {1, 1, 7, 13, 7, 45, 91, 173, 73, 779, 1647, 2059, 1373, 16027, 4611, 45787, 699, 78905}},
-{19205, 18, 97625, {1, 1, 5, 15, 5, 23, 123, 45, 265, 1009, 235, 1343, 5779, 209, 23263, 63163, 26079, 240905}},
-{19206, 18, 97632, {1, 1, 1, 11, 19, 31, 75, 105, 71, 21, 1361, 2125, 6949, 2111, 10333, 61881, 112811, 85723}},
-{19207, 18, 97635, {1, 3, 5, 7, 27, 17, 95, 35, 503, 181, 1885, 1097, 6019, 13745, 15009, 26343, 117727, 93017}},
-{19208, 18, 97652, {1, 1, 3, 11, 27, 41, 109, 23, 365, 283, 1509, 3269, 5969, 14567, 27715, 429, 65813, 169391}},
-{19209, 18, 97672, {1, 1, 5, 9, 11, 1, 23, 143, 401, 61, 993, 3029, 1901, 12947, 10439, 48661, 113863, 9353}},
-{19210, 18, 97678, {1, 3, 7, 3, 15, 27, 123, 51, 403, 569, 75, 3837, 8167, 10875, 29861, 44133, 52385, 185515}},
-{19211, 18, 97683, {1, 3, 3, 15, 15, 45, 3, 77, 439, 265, 103, 3715, 7889, 9241, 26511, 19063, 108239, 237233}},
-{19212, 18, 97695, {1, 1, 5, 13, 7, 47, 7, 185, 155, 833, 1895, 1103, 6761, 4307, 19551, 2371, 41079, 207663}},
-{19213, 18, 97705, {1, 1, 3, 7, 1, 49, 79, 127, 149, 383, 919, 3787, 6703, 8823, 15551, 28397, 11497, 144227}},
-{19214, 18, 97713, {1, 1, 7, 15, 7, 5, 9, 161, 425, 275, 1943, 3003, 3615, 1417, 587, 20949, 9651, 101257}},
-{19215, 18, 97719, {1, 3, 5, 11, 31, 11, 113, 201, 113, 889, 867, 3537, 7173, 3403, 4713, 29709, 50127, 55893}},
-{19216, 18, 97757, {1, 3, 7, 11, 11, 17, 123, 97, 3, 1009, 1567, 3261, 8053, 4639, 24493, 64085, 73975, 123965}},
-{19217, 18, 97761, {1, 1, 7, 1, 31, 7, 111, 137, 427, 615, 865, 2243, 3603, 5943, 1639, 22213, 81977, 77283}},
-{19218, 18, 97762, {1, 1, 5, 11, 25, 63, 5, 19, 67, 469, 621, 2831, 1635, 11859, 23143, 29189, 43955, 87475}},
-{19219, 18, 97771, {1, 3, 7, 15, 7, 61, 125, 207, 401, 567, 1943, 2645, 641, 15427, 24467, 41767, 122591, 48905}},
-{19220, 18, 97795, {1, 3, 3, 5, 1, 61, 65, 169, 329, 489, 435, 1719, 491, 6189, 18383, 34973, 90611, 180991}},
-{19221, 18, 97809, {1, 3, 7, 9, 25, 43, 115, 11, 289, 193, 263, 3885, 4881, 15669, 19757, 20073, 119873, 67069}},
-{19222, 18, 97826, {1, 1, 7, 11, 3, 45, 93, 115, 233, 891, 1541, 2557, 2115, 2237, 4253, 30445, 32983, 86185}},
-{19223, 18, 97845, {1, 3, 7, 3, 29, 23, 105, 51, 157, 505, 773, 2403, 1237, 5193, 32725, 53331, 66377, 25745}},
-{19224, 18, 97877, {1, 3, 5, 11, 31, 5, 111, 251, 287, 225, 913, 97, 3429, 15111, 10637, 18843, 102589, 229667}},
-{19225, 18, 97882, {1, 3, 7, 13, 21, 43, 27, 11, 265, 991, 1645, 1967, 2675, 3083, 2957, 65275, 7757, 201953}},
-{19226, 18, 97891, {1, 3, 7, 7, 23, 59, 37, 105, 113, 961, 1585, 855, 6037, 8461, 24057, 46861, 42421, 21061}},
-{19227, 18, 97903, {1, 1, 5, 1, 7, 45, 37, 147, 225, 793, 737, 753, 565, 5347, 15393, 42611, 39253, 246455}},
-{19228, 18, 97961, {1, 3, 3, 5, 29, 59, 125, 69, 283, 677, 1615, 3341, 219, 10753, 445, 43343, 117035, 137907}},
-{19229, 18, 97970, {1, 1, 5, 1, 19, 41, 93, 137, 481, 93, 703, 1211, 4051, 5591, 5913, 32831, 62027, 60519}},
-{19230, 18, 97975, {1, 1, 7, 13, 17, 63, 65, 147, 361, 83, 1383, 1761, 579, 9493, 2611, 6951, 12197, 81857}},
-{19231, 18, 97996, {1, 3, 3, 15, 11, 3, 25, 7, 221, 211, 1745, 1173, 5479, 12063, 5667, 43443, 4865, 193345}},
-{19232, 18, 98001, {1, 1, 5, 11, 31, 11, 71, 61, 57, 851, 1089, 1395, 4525, 1223, 27681, 14355, 23125, 257233}},
-{19233, 18, 98014, {1, 3, 1, 11, 25, 59, 17, 193, 229, 1005, 387, 3993, 2457, 4185, 18421, 1315, 125155, 142277}},
-{19234, 18, 98023, {1, 1, 5, 11, 13, 55, 123, 191, 5, 1023, 705, 3481, 367, 12961, 11917, 12131, 99109, 105093}},
-{19235, 18, 98035, {1, 1, 3, 11, 13, 29, 57, 57, 467, 19, 1409, 971, 3041, 13487, 24737, 3377, 97883, 248893}},
-{19236, 18, 98052, {1, 3, 7, 3, 3, 37, 109, 77, 201, 469, 39, 1747, 2027, 14781, 18821, 34647, 123865, 195097}},
-{19237, 18, 98059, {1, 3, 3, 5, 29, 27, 97, 217, 249, 141, 431, 1621, 539, 8945, 3443, 48227, 27867, 205355}},
-{19238, 18, 98061, {1, 1, 3, 13, 7, 57, 65, 167, 103, 511, 239, 325, 1793, 2811, 14223, 40999, 12589, 149759}},
-{19239, 18, 98086, {1, 3, 5, 11, 3, 1, 61, 87, 283, 29, 507, 3473, 2685, 13829, 32337, 8413, 12201, 152309}},
-{19240, 18, 98098, {1, 3, 5, 15, 1, 23, 103, 173, 423, 915, 1519, 1859, 7341, 8689, 17141, 53769, 81189, 144305}},
-{19241, 18, 98117, {1, 1, 1, 5, 31, 41, 89, 117, 329, 245, 381, 3357, 1053, 15079, 3569, 27665, 65645, 259279}},
-{19242, 18, 98118, {1, 1, 7, 5, 3, 55, 91, 35, 463, 15, 1195, 533, 6013, 10755, 1919, 61169, 81285, 82757}},
-{19243, 18, 98132, {1, 3, 5, 11, 3, 29, 85, 169, 163, 733, 939, 3401, 3709, 3307, 17329, 56873, 10721, 174235}},
-{19244, 18, 98135, {1, 1, 5, 1, 11, 45, 75, 247, 435, 21, 1985, 2261, 7013, 4935, 2457, 41077, 53121, 143269}},
-{19245, 18, 98145, {1, 3, 3, 13, 17, 59, 43, 149, 27, 1, 367, 957, 5607, 2591, 22161, 10095, 73769, 52455}},
-{19246, 18, 98160, {1, 1, 3, 13, 15, 15, 121, 83, 469, 819, 1973, 3595, 2313, 1621, 3105, 42971, 7243, 98727}},
-{19247, 18, 98194, {1, 1, 5, 7, 21, 53, 123, 9, 119, 437, 1567, 431, 3647, 10967, 22037, 8523, 81279, 126473}},
-{19248, 18, 98205, {1, 1, 5, 13, 5, 23, 125, 119, 195, 555, 341, 2037, 313, 6323, 27201, 8377, 122793, 197781}},
-{19249, 18, 98210, {1, 3, 3, 5, 17, 25, 67, 237, 349, 443, 1529, 3541, 3105, 10105, 13409, 20165, 64597, 244513}},
-{19250, 18, 98224, {1, 1, 5, 1, 11, 43, 77, 245, 359, 625, 1171, 597, 3, 591, 2457, 20275, 75995, 204685}},
-{19251, 18, 98227, {1, 3, 1, 11, 5, 13, 99, 107, 285, 617, 1687, 2959, 4439, 771, 3103, 62363, 89437, 172221}},
-{19252, 18, 98254, {1, 3, 1, 11, 1, 63, 43, 85, 23, 95, 501, 1223, 669, 16101, 1071, 53175, 102101, 419}},
-{19253, 18, 98271, {1, 3, 1, 5, 19, 23, 63, 105, 289, 419, 885, 441, 5107, 4213, 8683, 1847, 113301, 240821}},
-{19254, 18, 98272, {1, 1, 1, 9, 9, 9, 111, 63, 53, 531, 517, 3463, 8171, 2645, 13883, 52213, 40707, 24637}},
-{19255, 18, 98302, {1, 3, 1, 5, 15, 43, 71, 215, 117, 685, 1819, 1105, 5805, 8875, 31093, 31077, 93807, 65631}},
-{19256, 18, 98320, {1, 1, 7, 7, 17, 15, 31, 87, 13, 615, 2003, 3461, 7585, 1947, 6693, 26141, 95059, 52229}},
-{19257, 18, 98346, {1, 1, 3, 5, 5, 55, 7, 41, 473, 541, 545, 2901, 763, 12731, 24715, 43301, 7981, 123961}},
-{19258, 18, 98356, {1, 3, 1, 11, 13, 29, 65, 47, 511, 931, 1681, 3813, 995, 4261, 32243, 21327, 33749, 52607}},
-{19259, 18, 98360, {1, 1, 3, 1, 27, 51, 19, 119, 71, 989, 485, 1483, 4115, 11743, 5513, 32447, 62599, 163185}},
-{19260, 18, 98366, {1, 3, 7, 13, 7, 5, 127, 67, 221, 773, 1641, 3763, 2061, 2025, 29813, 64385, 109219, 70149}},
-{19261, 18, 98478, {1, 1, 5, 15, 9, 29, 105, 245, 333, 11, 803, 1877, 6735, 3797, 1913, 63837, 23649, 234721}},
-{19262, 18, 98483, {1, 3, 7, 13, 11, 21, 113, 175, 385, 885, 1259, 983, 7715, 11889, 12515, 35723, 9897, 63415}},
-{19263, 18, 98486, {1, 1, 5, 9, 31, 63, 53, 51, 375, 133, 2021, 3173, 3861, 9885, 4117, 37505, 73687, 16411}},
-{19264, 18, 98497, {1, 3, 7, 7, 11, 13, 99, 235, 285, 159, 489, 917, 3033, 7711, 6545, 52893, 28549, 68791}},
-{19265, 18, 98528, {1, 1, 5, 11, 31, 15, 89, 157, 105, 347, 455, 3391, 5341, 16035, 11819, 57679, 48057, 147673}},
-{19266, 18, 98537, {1, 3, 1, 5, 21, 5, 1, 41, 213, 677, 1745, 2591, 6237, 14265, 5963, 30017, 47293, 199411}},
-{19267, 18, 98551, {1, 3, 1, 15, 19, 9, 65, 103, 489, 977, 579, 2571, 2827, 12971, 24445, 17963, 68829, 89781}},
-{19268, 18, 98557, {1, 3, 5, 7, 3, 45, 9, 223, 137, 749, 919, 2695, 7569, 6735, 16649, 55899, 91531, 10709}},
-{19269, 18, 98572, {1, 1, 5, 11, 25, 51, 81, 243, 473, 85, 1189, 2317, 785, 9307, 25555, 36623, 66881, 150945}},
-{19270, 18, 98575, {1, 1, 3, 7, 9, 17, 99, 57, 333, 891, 71, 2359, 2067, 13265, 30077, 17935, 47343, 22673}},
-{19271, 18, 98600, {1, 1, 5, 7, 13, 17, 77, 109, 427, 667, 1367, 2383, 7505, 11239, 14229, 35431, 35473, 62447}},
-{19272, 18, 98628, {1, 1, 1, 15, 27, 5, 51, 221, 471, 877, 449, 3961, 4197, 15713, 2955, 58985, 31431, 241539}},
-{19273, 18, 98635, {1, 1, 7, 1, 13, 61, 55, 199, 87, 679, 723, 271, 1061, 8043, 13163, 8079, 81501, 60467}},
-{19274, 18, 98645, {1, 1, 3, 3, 11, 1, 85, 65, 445, 731, 2017, 3113, 8085, 7133, 14789, 2435, 38459, 234997}},
-{19275, 18, 98652, {1, 3, 3, 9, 23, 31, 49, 137, 349, 651, 1975, 3429, 7137, 7841, 28297, 58209, 36493, 259097}},
-{19276, 18, 98655, {1, 1, 7, 15, 23, 11, 87, 133, 245, 445, 151, 4075, 141, 15395, 16649, 36925, 98421, 217265}},
-{19277, 18, 98665, {1, 3, 3, 5, 25, 53, 57, 177, 481, 177, 671, 1249, 2663, 12855, 24537, 31867, 110323, 164113}},
-{19278, 18, 98710, {1, 3, 5, 7, 23, 25, 19, 91, 447, 1023, 373, 3863, 4399, 12973, 7475, 37485, 8567, 53271}},
-{19279, 18, 98719, {1, 1, 5, 7, 31, 33, 31, 75, 223, 299, 1549, 1863, 353, 4339, 8891, 10365, 3399, 185807}},
-{19280, 18, 98720, {1, 1, 7, 9, 31, 53, 23, 203, 319, 915, 1923, 205, 3119, 7243, 25251, 12907, 101921, 102695}},
-{19281, 18, 98786, {1, 1, 7, 9, 15, 1, 123, 173, 123, 215, 263, 3003, 5881, 1117, 15195, 47457, 66663, 224177}},
-{19282, 18, 98792, {1, 1, 7, 13, 11, 25, 61, 121, 173, 115, 1897, 2145, 7783, 9673, 3321, 1707, 61475, 53875}},
-{19283, 18, 98806, {1, 3, 7, 3, 31, 21, 27, 99, 421, 225, 1565, 2351, 2275, 10583, 7877, 43505, 27629, 140919}},
-{19284, 18, 98816, {1, 3, 5, 5, 11, 45, 71, 105, 487, 867, 361, 3995, 2039, 1495, 27481, 4753, 20657, 67077}},
-{19285, 18, 98836, {1, 1, 5, 1, 19, 33, 1, 77, 377, 353, 719, 1463, 7053, 7409, 32165, 15557, 117673, 69887}},
-{19286, 18, 98859, {1, 1, 5, 7, 25, 5, 15, 231, 23, 213, 1627, 1801, 7793, 651, 9903, 51745, 111611, 39679}},
-{19287, 18, 98864, {1, 3, 3, 5, 23, 43, 37, 199, 437, 19, 1853, 2119, 461, 12641, 15865, 39941, 122545, 213443}},
-{19288, 18, 98879, {1, 3, 3, 11, 31, 45, 19, 227, 507, 909, 1501, 2021, 905, 1763, 1897, 3735, 81475, 30005}},
-{19289, 18, 98905, {1, 1, 5, 5, 29, 9, 55, 25, 23, 59, 593, 2197, 6029, 8235, 8397, 27521, 96221, 168837}},
-{19290, 18, 98917, {1, 3, 1, 15, 5, 33, 75, 121, 433, 557, 1011, 3785, 2545, 953, 17295, 14407, 94871, 60445}},
-{19291, 18, 98929, {1, 3, 3, 7, 7, 53, 29, 75, 171, 587, 1701, 3815, 2761, 4403, 39, 17291, 34897, 187257}},
-{19292, 18, 98969, {1, 3, 1, 15, 17, 57, 11, 95, 335, 13, 265, 1161, 7945, 6419, 26723, 31907, 89995, 82265}},
-{19293, 18, 98975, {1, 1, 7, 5, 9, 59, 27, 153, 37, 165, 823, 3525, 621, 4777, 3485, 9109, 116567, 34691}},
-{19294, 18, 98976, {1, 1, 5, 13, 23, 27, 11, 63, 35, 39, 995, 2101, 2611, 14139, 2683, 63787, 19813, 97497}},
-{19295, 18, 98981, {1, 3, 7, 15, 31, 15, 3, 163, 167, 53, 71, 1881, 4213, 3485, 21525, 705, 122345, 203549}},
-{19296, 18, 98999, {1, 3, 5, 5, 21, 33, 85, 133, 21, 505, 1639, 3989, 771, 7171, 21953, 34503, 31247, 247459}},
-{19297, 18, 99020, {1, 1, 7, 7, 31, 1, 27, 39, 469, 243, 679, 4091, 7137, 8505, 13329, 34139, 69485, 259795}},
-{19298, 18, 99026, {1, 3, 5, 5, 31, 43, 31, 161, 413, 657, 1407, 1417, 7349, 3301, 7691, 49355, 22929, 68043}},
-{19299, 18, 99054, {1, 1, 7, 11, 15, 61, 73, 217, 163, 503, 193, 3795, 41, 16251, 1187, 65363, 113211, 100337}},
-{19300, 18, 99083, {1, 3, 1, 11, 9, 15, 109, 187, 109, 865, 845, 1579, 321, 1269, 20613, 5693, 58421, 254959}},
-{19301, 18, 99093, {1, 3, 1, 13, 11, 3, 19, 135, 93, 779, 1383, 219, 2737, 377, 1125, 35663, 130815, 103797}},
-{19302, 18, 99103, {1, 1, 5, 11, 25, 25, 71, 249, 201, 679, 1677, 1817, 7619, 10327, 14821, 47847, 33629, 250979}},
-{19303, 18, 99131, {1, 1, 7, 15, 23, 19, 69, 39, 25, 843, 99, 3499, 2457, 11681, 30009, 17609, 46653, 162427}},
-{19304, 18, 99156, {1, 3, 3, 7, 23, 25, 77, 135, 61, 501, 1381, 3977, 1957, 11255, 16053, 30297, 58835, 97589}},
-{19305, 18, 99159, {1, 3, 5, 3, 9, 31, 9, 55, 421, 109, 1823, 1921, 7349, 2661, 4503, 36691, 48843, 182631}},
-{19306, 18, 99165, {1, 1, 1, 11, 7, 23, 107, 125, 393, 105, 1407, 3461, 4539, 6121, 7881, 32407, 83749, 98831}},
-{19307, 18, 99170, {1, 3, 3, 13, 5, 59, 5, 3, 185, 959, 241, 819, 1443, 1789, 12771, 26703, 25399, 182583}},
-{19308, 18, 99189, {1, 1, 1, 3, 3, 47, 7, 45, 93, 373, 175, 87, 649, 12903, 5029, 1945, 111967, 140889}},
-{19309, 18, 99223, {1, 3, 1, 11, 9, 47, 25, 191, 215, 845, 1557, 9, 3451, 5837, 11763, 29127, 113115, 99039}},
-{19310, 18, 99227, {1, 1, 1, 5, 23, 53, 45, 1, 361, 751, 807, 1765, 685, 2109, 28437, 60489, 65739, 234511}},
-{19311, 18, 99271, {1, 3, 3, 7, 15, 57, 71, 61, 195, 123, 1745, 3249, 351, 14309, 2017, 15653, 110803, 45937}},
-{19312, 18, 99277, {1, 3, 7, 9, 25, 11, 25, 29, 467, 313, 1927, 2423, 7311, 14299, 8145, 8123, 115103, 213881}},
-{19313, 18, 99278, {1, 1, 3, 15, 1, 35, 111, 99, 507, 417, 1433, 129, 5565, 13365, 18853, 8607, 109739, 120623}},
-{19314, 18, 99313, {1, 1, 1, 7, 13, 31, 93, 3, 327, 67, 1101, 1965, 5939, 6505, 3117, 3021, 33707, 79353}},
-{19315, 18, 99314, {1, 1, 3, 7, 15, 21, 23, 117, 367, 137, 287, 903, 4685, 13943, 26779, 24607, 70853, 99743}},
-{19316, 18, 99345, {1, 1, 7, 11, 25, 43, 67, 181, 459, 737, 1567, 3491, 5085, 6487, 23115, 62341, 102943, 77301}},
-{19317, 18, 99361, {1, 1, 3, 15, 7, 35, 81, 199, 455, 851, 835, 3421, 4675, 15173, 9205, 7305, 109849, 15183}},
-{19318, 18, 99367, {1, 3, 5, 11, 9, 55, 3, 53, 235, 271, 1265, 3681, 3627, 3485, 11591, 53097, 85949, 158173}},
-{19319, 18, 99386, {1, 3, 7, 3, 15, 27, 57, 183, 487, 9, 1797, 2973, 3687, 12987, 9133, 14595, 52067, 131217}},
-{19320, 18, 99394, {1, 1, 5, 3, 7, 25, 19, 215, 291, 325, 813, 577, 4249, 10373, 17233, 29557, 72979, 70721}},
-{19321, 18, 99417, {1, 3, 1, 7, 25, 1, 107, 167, 367, 303, 883, 993, 4189, 6557, 13697, 15251, 77065, 116127}},
-{19322, 18, 99418, {1, 3, 5, 11, 13, 59, 9, 121, 489, 593, 1503, 601, 5263, 13837, 20991, 35761, 45867, 155905}},
-{19323, 18, 99453, {1, 1, 3, 3, 19, 47, 127, 115, 267, 261, 969, 961, 5919, 10085, 29363, 4935, 100485, 75561}},
-{19324, 18, 99454, {1, 3, 1, 15, 11, 53, 39, 187, 53, 11, 1951, 913, 965, 2565, 5457, 3237, 24923, 245681}},
-{19325, 18, 99477, {1, 1, 7, 3, 15, 5, 25, 45, 17, 45, 1317, 1853, 6627, 15879, 29935, 24749, 118149, 35359}},
-{19326, 18, 99518, {1, 1, 7, 1, 21, 45, 67, 71, 25, 743, 925, 3441, 3013, 1613, 6321, 12491, 119931, 164701}},
-{19327, 18, 99544, {1, 1, 7, 1, 13, 15, 35, 187, 91, 995, 401, 2443, 4183, 10823, 20589, 27413, 117095, 20359}},
-{19328, 18, 99559, {1, 3, 3, 7, 15, 51, 55, 167, 409, 859, 719, 3223, 2457, 16013, 13639, 4027, 79339, 225113}},
-{19329, 18, 99592, {1, 3, 1, 9, 3, 29, 105, 193, 279, 27, 1093, 2199, 6983, 619, 10163, 40365, 71015, 102191}},
-{19330, 18, 99597, {1, 1, 3, 9, 29, 5, 33, 247, 27, 299, 2017, 379, 6199, 15047, 18329, 3493, 47679, 76703}},
-{19331, 18, 99603, {1, 3, 5, 5, 9, 19, 51, 129, 157, 831, 1373, 653, 7489, 13125, 1815, 10915, 88679, 50269}},
-{19332, 18, 99621, {1, 3, 3, 9, 9, 49, 79, 11, 181, 679, 1697, 3707, 205, 13305, 6293, 56653, 42619, 116257}},
-{19333, 18, 99646, {1, 1, 5, 9, 23, 41, 17, 135, 145, 715, 257, 1561, 6941, 2411, 31459, 25055, 35807, 51579}},
-{19334, 18, 99693, {1, 1, 1, 7, 11, 13, 49, 155, 403, 569, 751, 2959, 425, 13949, 22047, 49829, 71925, 101647}},
-{19335, 18, 99722, {1, 1, 3, 15, 15, 15, 17, 213, 113, 395, 1999, 2039, 3623, 13255, 24435, 54487, 78773, 202637}},
-{19336, 18, 99760, {1, 3, 7, 9, 5, 21, 61, 165, 97, 349, 1131, 2677, 333, 13129, 2137, 22909, 95795, 143081}},
-{19337, 18, 99780, {1, 1, 1, 5, 31, 41, 109, 179, 295, 475, 639, 3929, 1841, 7545, 19411, 52573, 10173, 236769}},
-{19338, 18, 99789, {1, 1, 1, 5, 27, 51, 9, 217, 393, 671, 931, 433, 7303, 16295, 6727, 5703, 88241, 132665}},
-{19339, 18, 99804, {1, 1, 7, 13, 21, 33, 19, 241, 497, 519, 1413, 489, 4975, 1345, 24925, 40383, 110815, 136217}},
-{19340, 18, 99823, {1, 3, 1, 9, 7, 51, 79, 15, 15, 601, 997, 3713, 7829, 903, 12393, 60059, 42057, 175141}},
-{19341, 18, 99826, {1, 1, 5, 15, 9, 63, 107, 63, 495, 591, 207, 779, 8069, 3013, 23839, 3075, 127481, 193885}},
-{19342, 18, 99832, {1, 1, 1, 7, 13, 17, 121, 171, 99, 59, 1043, 1109, 1337, 1179, 27635, 34063, 12945, 1431}},
-{19343, 18, 99842, {1, 3, 1, 3, 5, 47, 101, 205, 157, 595, 263, 3887, 7015, 4693, 15211, 25381, 128803, 227233}},
-{19344, 18, 99851, {1, 1, 3, 11, 17, 33, 1, 19, 153, 603, 119, 2305, 4041, 4011, 19849, 761, 52807, 129811}},
-{19345, 18, 99862, {1, 3, 7, 15, 21, 7, 13, 225, 497, 459, 389, 911, 6349, 5059, 6363, 41915, 90687, 214501}},
-{19346, 18, 99871, {1, 3, 1, 15, 1, 39, 31, 83, 147, 629, 185, 1913, 3217, 959, 651, 65267, 108613, 20391}},
-{19347, 18, 99899, {1, 3, 1, 7, 9, 11, 29, 201, 245, 815, 1869, 2597, 5693, 15669, 23293, 30885, 4029, 225737}},
-{19348, 18, 99940, {1, 3, 5, 11, 7, 29, 119, 207, 499, 23, 1563, 3645, 3839, 2509, 24043, 64231, 22509, 221835}},
-{19349, 18, 99983, {1, 3, 3, 7, 11, 49, 13, 201, 353, 217, 831, 2803, 1521, 12989, 25339, 41035, 2125, 165271}},
-{19350, 18, 99985, {1, 1, 5, 11, 1, 45, 93, 29, 55, 1007, 1919, 241, 5931, 9211, 17291, 39849, 25453, 96077}},
-{19351, 18, 100025, {1, 3, 1, 1, 29, 43, 11, 105, 331, 693, 1363, 291, 8191, 7813, 14135, 38287, 15469, 256913}},
-{19352, 18, 100043, {1, 3, 5, 11, 19, 21, 23, 117, 253, 111, 733, 3785, 5835, 423, 30251, 27283, 79561, 162095}},
-{19353, 18, 100070, {1, 3, 3, 1, 9, 19, 83, 13, 37, 725, 1597, 1117, 8067, 8085, 1315, 41813, 8973, 175525}},
-{19354, 18, 100076, {1, 1, 5, 3, 13, 39, 3, 213, 335, 907, 1143, 1729, 601, 11255, 24351, 41045, 11335, 186221}},
-{19355, 18, 100084, {1, 3, 3, 9, 17, 11, 29, 33, 303, 815, 1607, 2403, 8095, 4213, 16697, 64733, 24439, 93081}},
-{19356, 18, 100096, {1, 1, 1, 3, 13, 37, 35, 181, 243, 645, 1915, 3521, 569, 3005, 7271, 32755, 64575, 119813}},
-{19357, 18, 100105, {1, 1, 5, 13, 25, 59, 77, 121, 459, 755, 385, 1893, 1227, 9957, 5069, 40063, 27261, 4703}},
-{19358, 18, 100108, {1, 3, 1, 3, 29, 41, 95, 255, 219, 21, 317, 3021, 2615, 5101, 19413, 25795, 6521, 157749}},
-{19359, 18, 100123, {1, 3, 3, 5, 7, 33, 7, 205, 415, 23, 1431, 117, 1605, 9541, 11825, 49195, 86341, 99673}},
-{19360, 18, 100132, {1, 3, 3, 5, 17, 37, 33, 209, 49, 161, 321, 3697, 6483, 12859, 895, 675, 1899, 260289}},
-{19361, 18, 100141, {1, 1, 3, 15, 1, 27, 83, 125, 309, 553, 505, 2209, 4931, 2593, 28253, 12879, 74971, 9047}},
-{19362, 18, 100181, {1, 3, 7, 3, 15, 3, 105, 19, 41, 119, 149, 3847, 6593, 875, 23777, 4547, 57717, 139387}},
-{19363, 18, 100191, {1, 1, 1, 3, 9, 43, 25, 15, 67, 609, 951, 273, 8095, 621, 24819, 17233, 53423, 192757}},
-{19364, 18, 100202, {1, 3, 5, 3, 9, 49, 107, 215, 245, 217, 545, 2285, 2075, 401, 26599, 32967, 130457, 203755}},
-{19365, 18, 100216, {1, 1, 5, 1, 7, 31, 87, 181, 135, 155, 9, 1431, 307, 13367, 31147, 10327, 2817, 63327}},
-{19366, 18, 100246, {1, 3, 3, 3, 29, 17, 55, 201, 33, 275, 2005, 3037, 3439, 1513, 7563, 46491, 103319, 5279}},
-{19367, 18, 100256, {1, 3, 7, 11, 31, 63, 105, 169, 257, 225, 711, 2041, 1519, 11801, 18543, 35173, 92125, 72729}},
-{19368, 18, 100271, {1, 1, 3, 3, 11, 13, 127, 231, 229, 809, 303, 1167, 47, 4281, 2373, 10455, 74685, 131775}},
-{19369, 18, 100285, {1, 1, 5, 15, 1, 5, 97, 139, 189, 39, 37, 3513, 2119, 1453, 11477, 45477, 75613, 169915}},
-{19370, 18, 100294, {1, 3, 5, 1, 15, 27, 31, 87, 311, 785, 489, 1331, 5259, 6963, 26441, 41675, 107187, 60723}},
-{19371, 18, 100305, {1, 1, 3, 5, 13, 9, 33, 3, 273, 357, 841, 1421, 5993, 12449, 6821, 4283, 9437, 215035}},
-{19372, 18, 100321, {1, 3, 3, 1, 15, 43, 101, 35, 23, 743, 29, 3953, 3095, 14355, 25977, 12513, 54565, 20199}},
-{19373, 18, 100331, {1, 3, 3, 1, 11, 53, 99, 95, 63, 503, 1361, 3231, 2445, 5073, 4667, 33033, 4575, 139475}},
-{19374, 18, 100334, {1, 3, 3, 5, 19, 57, 15, 115, 125, 1017, 1913, 907, 2461, 3229, 16591, 6591, 26385, 228661}},
-{19375, 18, 100345, {1, 3, 1, 11, 27, 19, 7, 121, 245, 997, 1743, 2571, 1333, 9603, 27811, 42081, 44365, 94943}},
-{19376, 18, 100346, {1, 3, 1, 1, 13, 5, 127, 217, 63, 137, 989, 1441, 1133, 8273, 18091, 22243, 122931, 28867}},
-{19377, 18, 100369, {1, 1, 7, 15, 23, 39, 57, 83, 321, 817, 819, 223, 4803, 6935, 2027, 20373, 119683, 29781}},
-{19378, 18, 100372, {1, 1, 7, 7, 9, 1, 55, 211, 455, 283, 1647, 471, 4351, 14119, 6945, 63117, 109687, 200165}},
-{19379, 18, 100382, {1, 1, 7, 7, 29, 45, 113, 253, 135, 375, 1091, 959, 1423, 1241, 31689, 33751, 73459, 91769}},
-{19380, 18, 100403, {1, 3, 5, 11, 23, 63, 55, 181, 453, 267, 995, 1309, 2847, 3791, 21683, 59809, 81891, 132635}},
-{19381, 18, 100451, {1, 1, 1, 13, 17, 37, 87, 17, 61, 689, 1895, 3877, 4717, 6447, 22329, 1619, 30069, 190887}},
-{19382, 18, 100488, {1, 3, 1, 7, 27, 61, 17, 51, 99, 909, 85, 951, 107, 1923, 35, 63389, 90273, 152643}},
-{19383, 18, 100499, {1, 1, 1, 1, 15, 39, 77, 255, 191, 613, 655, 1881, 267, 3927, 18025, 13825, 15381, 169193}},
-{19384, 18, 100501, {1, 3, 3, 1, 31, 17, 73, 69, 231, 221, 501, 3755, 1671, 2049, 22493, 16353, 1775, 181783}},
-{19385, 18, 100511, {1, 1, 7, 5, 31, 45, 125, 189, 287, 487, 1911, 3133, 3257, 8967, 21295, 1247, 72297, 68269}},
-{19386, 18, 100536, {1, 3, 3, 1, 7, 9, 123, 147, 7, 381, 1597, 1289, 7831, 14493, 21145, 15487, 70353, 147891}},
-{19387, 18, 100629, {1, 1, 5, 9, 15, 17, 43, 87, 101, 425, 1819, 163, 6741, 8255, 2591, 17719, 112871, 110793}},
-{19388, 18, 100652, {1, 1, 3, 9, 3, 27, 7, 41, 43, 743, 131, 705, 2607, 9963, 26367, 41191, 126347, 164291}},
-{19389, 18, 100655, {1, 3, 3, 15, 7, 17, 97, 153, 283, 461, 1723, 2421, 4973, 16369, 30633, 62299, 119425, 3591}},
-{19390, 18, 100669, {1, 1, 1, 13, 7, 33, 95, 255, 429, 693, 849, 3783, 5985, 8551, 23227, 1015, 109023, 42493}},
-{19391, 18, 100687, {1, 3, 1, 7, 3, 43, 53, 137, 413, 265, 2033, 1347, 335, 529, 24751, 16443, 122195, 158951}},
-{19392, 18, 100692, {1, 1, 5, 9, 27, 21, 83, 185, 325, 557, 1247, 2739, 6925, 5459, 26027, 62217, 61113, 197743}},
-{19393, 18, 100696, {1, 1, 3, 13, 9, 57, 79, 133, 137, 851, 863, 1605, 7839, 11809, 29941, 20473, 6687, 164479}},
-{19394, 18, 100701, {1, 1, 3, 9, 9, 51, 123, 29, 139, 43, 1329, 2701, 3413, 3875, 19673, 62369, 10529, 226525}},
-{19395, 18, 100706, {1, 3, 1, 5, 25, 47, 7, 201, 119, 623, 9, 25, 1713, 10817, 8201, 5847, 77477, 237883}},
-{19396, 18, 100711, {1, 1, 5, 13, 15, 53, 39, 93, 235, 619, 1695, 2389, 2571, 2389, 4619, 45769, 17245, 69973}},
-{19397, 18, 100726, {1, 1, 7, 1, 31, 9, 75, 143, 1, 67, 809, 1037, 2801, 16129, 22443, 26021, 119683, 14681}},
-{19398, 18, 100754, {1, 3, 1, 9, 23, 49, 69, 71, 139, 953, 1053, 3059, 1061, 5881, 26207, 15907, 79389, 95341}},
-{19399, 18, 100759, {1, 3, 5, 1, 19, 39, 69, 183, 95, 289, 847, 393, 1649, 1275, 21187, 34715, 67553, 123239}},
-{19400, 18, 100790, {1, 1, 1, 5, 21, 39, 119, 193, 347, 87, 731, 3327, 6089, 13781, 20389, 52303, 11869, 48975}},
-{19401, 18, 100838, {1, 3, 5, 1, 19, 17, 93, 33, 215, 457, 687, 1325, 1997, 2655, 21195, 54997, 36877, 57991}},
-{19402, 18, 100878, {1, 1, 1, 3, 17, 45, 91, 45, 231, 611, 413, 2321, 7181, 13765, 7791, 6973, 24497, 231795}},
-{19403, 18, 100880, {1, 3, 3, 15, 7, 29, 103, 31, 295, 637, 1775, 2293, 8001, 4175, 1257, 16881, 93695, 180591}},
-{19404, 18, 100885, {1, 1, 1, 13, 31, 7, 47, 51, 267, 231, 463, 939, 7977, 8593, 15329, 36871, 50449, 222341}},
-{19405, 18, 100886, {1, 3, 7, 3, 27, 31, 57, 135, 507, 177, 1455, 1963, 4473, 6449, 727, 49853, 65275, 237531}},
-{19406, 18, 100943, {1, 3, 7, 11, 31, 21, 111, 231, 269, 27, 719, 3275, 2489, 3689, 3425, 23763, 39413, 64565}},
-{19407, 18, 100948, {1, 1, 1, 11, 23, 27, 31, 153, 201, 985, 1553, 3061, 7663, 4079, 13549, 48765, 64169, 68223}},
-{19408, 18, 100957, {1, 1, 7, 15, 11, 53, 125, 23, 73, 799, 591, 665, 127, 3941, 11251, 12649, 2657, 230923}},
-{19409, 18, 100962, {1, 1, 7, 15, 29, 43, 95, 81, 337, 367, 779, 1237, 7627, 997, 3355, 1245, 70477, 159097}},
-{19410, 18, 100968, {1, 3, 1, 13, 19, 31, 11, 91, 179, 425, 1395, 1439, 2723, 401, 26779, 36723, 115743, 179653}},
-{19411, 18, 100981, {1, 1, 3, 1, 29, 35, 11, 217, 301, 421, 765, 1949, 5475, 2247, 3953, 27091, 16895, 194821}},
-{19412, 18, 100986, {1, 1, 5, 9, 11, 21, 95, 135, 127, 65, 609, 3893, 7143, 13231, 29199, 36205, 38711, 159599}},
-{19413, 18, 101001, {1, 3, 5, 13, 25, 25, 101, 221, 495, 993, 961, 2575, 907, 5277, 18415, 1797, 22043, 129889}},
-{19414, 18, 101012, {1, 1, 1, 15, 21, 21, 99, 3, 175, 735, 659, 543, 7573, 15549, 14067, 60009, 65785, 112927}},
-{19415, 18, 101015, {1, 3, 7, 7, 3, 39, 61, 203, 143, 581, 487, 2097, 3943, 6869, 14435, 46431, 101781, 233067}},
-{19416, 18, 101019, {1, 1, 3, 1, 13, 27, 21, 147, 295, 89, 1845, 1017, 4621, 10029, 3517, 25371, 104531, 225179}},
-{19417, 18, 101037, {1, 1, 3, 11, 25, 51, 45, 179, 299, 487, 2039, 85, 4643, 8211, 12051, 64819, 93481, 159511}},
-{19418, 18, 101063, {1, 1, 5, 3, 21, 7, 73, 193, 415, 7, 125, 2487, 7369, 2043, 7633, 19265, 65337, 57399}},
-{19419, 18, 101105, {1, 1, 5, 3, 3, 53, 51, 169, 313, 973, 1549, 243, 3155, 13827, 24971, 61393, 15147, 187397}},
-{19420, 18, 101144, {1, 3, 3, 3, 29, 33, 91, 41, 367, 77, 1259, 1703, 2105, 14473, 17763, 29809, 47777, 205553}},
-{19421, 18, 101147, {1, 3, 7, 3, 23, 61, 59, 235, 51, 41, 417, 691, 2953, 15577, 32283, 2793, 109557, 64729}},
-{19422, 18, 101154, {1, 1, 5, 9, 13, 17, 93, 201, 151, 323, 1481, 3645, 3039, 5131, 503, 42055, 114939, 198755}},
-{19423, 18, 101163, {1, 3, 5, 1, 21, 53, 75, 29, 283, 541, 499, 309, 1923, 995, 21479, 56183, 103743, 152113}},
-{19424, 18, 101166, {1, 3, 1, 3, 21, 51, 67, 97, 481, 509, 805, 213, 5157, 13573, 16187, 8199, 28025, 208445}},
-{19425, 18, 101173, {1, 1, 7, 7, 15, 25, 107, 127, 355, 249, 707, 1287, 6831, 5317, 15613, 12837, 48091, 27611}},
-{19426, 18, 101174, {1, 3, 3, 7, 31, 53, 127, 239, 17, 709, 979, 4023, 7149, 4239, 20015, 44365, 113245, 75873}},
-{19427, 18, 101219, {1, 3, 5, 11, 27, 37, 49, 123, 137, 967, 1857, 3961, 7429, 8355, 30733, 64587, 73903, 188581}},
-{19428, 18, 101240, {1, 3, 3, 7, 19, 51, 69, 121, 345, 637, 1987, 335, 7071, 13849, 22369, 46895, 20761, 148227}},
-{19429, 18, 101250, {1, 1, 3, 11, 9, 1, 93, 151, 487, 889, 919, 2429, 5425, 15303, 12583, 57627, 42683, 98265}},
-{19430, 18, 101259, {1, 3, 5, 3, 1, 29, 87, 189, 285, 805, 933, 1381, 2789, 107, 14215, 33171, 110573, 250983}},
-{19431, 18, 101273, {1, 3, 1, 1, 27, 43, 63, 115, 317, 401, 885, 1029, 7003, 10041, 15299, 42251, 58675, 177545}},
-{19432, 18, 101274, {1, 3, 5, 7, 11, 33, 119, 5, 185, 777, 1795, 1585, 3543, 1801, 17681, 1041, 44513, 105435}},
-{19433, 18, 101285, {1, 3, 1, 9, 19, 33, 15, 253, 299, 925, 241, 1333, 615, 12501, 499, 44449, 16595, 70357}},
-{19434, 18, 101300, {1, 1, 3, 13, 13, 31, 17, 123, 215, 805, 1177, 3683, 27, 11881, 7645, 25575, 63057, 89547}},
-{19435, 18, 101309, {1, 1, 5, 5, 17, 1, 57, 183, 267, 825, 1987, 329, 5603, 1295, 425, 61871, 27859, 157109}},
-{19436, 18, 101310, {1, 3, 3, 11, 19, 45, 37, 79, 191, 17, 17, 3379, 7941, 3159, 20351, 26341, 34687, 116281}},
-{19437, 18, 101321, {1, 1, 3, 7, 11, 7, 61, 199, 459, 993, 1729, 3751, 1067, 14965, 14669, 40281, 12579, 154601}},
-{19438, 18, 101324, {1, 3, 3, 13, 19, 53, 17, 39, 137, 219, 1645, 2899, 505, 10057, 22891, 32317, 81201, 126291}},
-{19439, 18, 101363, {1, 3, 5, 7, 21, 53, 65, 125, 69, 781, 761, 1683, 5817, 11859, 11543, 62853, 57149, 212261}},
-{19440, 18, 101366, {1, 3, 5, 9, 13, 25, 81, 119, 439, 25, 239, 2867, 421, 12631, 22705, 31039, 96105, 79023}},
-{19441, 18, 101377, {1, 3, 5, 3, 19, 9, 51, 135, 437, 393, 1711, 1205, 5195, 10927, 28583, 7513, 110227, 139295}},
-{19442, 18, 101380, {1, 3, 7, 9, 31, 15, 5, 143, 49, 13, 1143, 2325, 5437, 14289, 31555, 58777, 102675, 64559}},
-{19443, 18, 101389, {1, 1, 7, 3, 3, 21, 65, 127, 341, 109, 167, 1835, 6687, 1695, 15631, 47047, 127543, 51413}},
-{19444, 18, 101407, {1, 1, 3, 1, 31, 49, 103, 147, 59, 701, 1251, 3391, 1935, 5371, 28585, 50023, 73839, 118205}},
-{19445, 18, 101411, {1, 3, 3, 1, 5, 49, 91, 23, 91, 663, 1369, 1437, 2657, 11369, 29857, 53875, 127045, 242323}},
-{19446, 18, 101432, {1, 3, 1, 3, 23, 33, 7, 105, 353, 863, 1211, 1175, 1347, 12913, 11973, 55255, 27145, 175539}},
-{19447, 18, 101476, {1, 1, 1, 13, 9, 29, 71, 71, 509, 571, 2005, 3125, 2731, 6829, 26863, 16459, 113195, 80247}},
-{19448, 18, 101488, {1, 3, 5, 1, 7, 11, 45, 177, 281, 695, 1197, 2035, 2137, 11833, 12417, 5805, 77211, 45553}},
-{19449, 18, 101494, {1, 1, 7, 7, 27, 59, 91, 183, 267, 373, 677, 2431, 903, 4229, 31997, 19843, 125089, 242871}},
-{19450, 18, 101514, {1, 3, 3, 13, 23, 23, 53, 101, 225, 247, 2013, 853, 279, 2161, 30045, 28255, 130907, 57157}},
-{19451, 18, 101534, {1, 3, 5, 13, 5, 11, 63, 137, 219, 661, 773, 1991, 4081, 5963, 25207, 50461, 85293, 159441}},
-{19452, 18, 101537, {1, 3, 1, 15, 5, 59, 43, 87, 429, 77, 73, 1275, 2619, 16133, 20009, 26089, 38129, 157267}},
-{19453, 18, 101543, {1, 1, 5, 15, 9, 59, 37, 127, 127, 733, 1703, 1331, 4293, 3555, 22739, 49513, 34533, 143225}},
-{19454, 18, 101547, {1, 1, 7, 7, 11, 51, 121, 59, 505, 147, 1855, 1661, 5539, 3421, 28863, 14811, 39811, 228927}},
-{19455, 18, 101584, {1, 1, 5, 5, 1, 31, 57, 167, 107, 753, 1835, 2491, 3311, 8639, 8743, 17279, 77071, 8673}},
-{19456, 18, 101589, {1, 1, 3, 3, 15, 39, 1, 223, 395, 603, 1095, 435, 1225, 4045, 21721, 40767, 48971, 1583}},
-{19457, 18, 101590, {1, 1, 3, 13, 9, 17, 47, 175, 229, 827, 769, 2901, 137, 9931, 11115, 25337, 105811, 68413}},
-{19458, 18, 101629, {1, 1, 1, 5, 29, 55, 43, 39, 319, 919, 749, 931, 1973, 13147, 913, 48353, 40955, 189783}},
-{19459, 18, 101678, {1, 3, 5, 5, 13, 33, 81, 213, 79, 781, 1069, 3117, 5859, 9061, 30963, 17307, 6281, 208707}},
-{19460, 18, 101683, {1, 1, 5, 13, 27, 63, 41, 91, 123, 763, 1115, 3193, 4571, 4573, 8235, 24291, 40911, 225985}},
-{19461, 18, 101700, {1, 1, 1, 7, 13, 5, 77, 215, 67, 183, 1447, 1571, 213, 3481, 28349, 22451, 44951, 240257}},
-{19462, 18, 101712, {1, 3, 7, 7, 3, 21, 39, 233, 263, 19, 489, 1511, 2313, 1799, 25173, 17913, 70593, 2969}},
-{19463, 18, 101748, {1, 3, 7, 15, 3, 1, 93, 101, 393, 911, 1055, 953, 1279, 11947, 11963, 53443, 29105, 226057}},
-{19464, 18, 101757, {1, 1, 3, 7, 7, 53, 119, 39, 439, 629, 1845, 3411, 3633, 16345, 27501, 59565, 39581, 85373}},
-{19465, 18, 101762, {1, 1, 5, 7, 19, 39, 19, 191, 509, 239, 359, 645, 8107, 13721, 21289, 20763, 67727, 45957}},
-{19466, 18, 101771, {1, 1, 1, 13, 5, 13, 113, 41, 135, 351, 311, 1099, 2391, 16165, 15805, 54737, 102645, 224417}},
-{19467, 18, 101785, {1, 3, 3, 9, 17, 47, 95, 249, 45, 749, 313, 317, 2413, 15861, 27221, 35537, 6407, 50111}},
-{19468, 18, 101795, {1, 1, 7, 5, 29, 57, 81, 7, 233, 393, 307, 1089, 1367, 12275, 11861, 29119, 27271, 36351}},
-{19469, 18, 101822, {1, 3, 5, 15, 9, 15, 23, 241, 233, 305, 1025, 2035, 4897, 10321, 17345, 42873, 109045, 129533}},
-{19470, 18, 101851, {1, 3, 5, 9, 21, 33, 111, 81, 311, 829, 1851, 1437, 5935, 7847, 15493, 28531, 74879, 40567}},
-{19471, 18, 101863, {1, 3, 7, 7, 13, 21, 43, 119, 507, 701, 1385, 745, 799, 1567, 13271, 40267, 130843, 59951}},
-{19472, 18, 101894, {1, 3, 3, 1, 19, 43, 45, 119, 87, 263, 1475, 3897, 2811, 2711, 4949, 48043, 125237, 230897}},
-{19473, 18, 101903, {1, 1, 7, 1, 1, 53, 17, 71, 313, 373, 5, 2359, 1643, 9867, 18365, 5011, 40675, 105371}},
-{19474, 18, 101924, {1, 3, 7, 11, 23, 49, 123, 255, 33, 241, 473, 959, 1859, 6109, 5433, 27625, 46839, 90727}},
-{19475, 18, 101939, {1, 1, 1, 3, 31, 43, 33, 129, 159, 445, 1831, 1005, 587, 2091, 5749, 33271, 50909, 65057}},
-{19476, 18, 101980, {1, 1, 7, 13, 3, 21, 17, 125, 357, 97, 1255, 669, 1583, 7433, 32287, 61795, 5915, 211593}},
-{19477, 18, 101993, {1, 1, 7, 7, 31, 19, 71, 211, 213, 731, 1491, 3315, 3633, 14953, 21369, 4977, 33533, 12115}},
-{19478, 18, 101994, {1, 3, 1, 1, 31, 1, 87, 253, 211, 57, 1431, 2613, 4075, 14463, 11287, 38671, 100129, 4241}},
-{19479, 18, 101996, {1, 1, 1, 5, 21, 13, 27, 29, 31, 285, 179, 3861, 5319, 15683, 2579, 15663, 63357, 81849}},
-{19480, 18, 102007, {1, 1, 3, 7, 23, 29, 29, 79, 263, 865, 1237, 3871, 2097, 5337, 2387, 59277, 28831, 57957}},
-{19481, 18, 102044, {1, 3, 7, 15, 15, 31, 83, 195, 87, 691, 71, 1025, 3145, 675, 14619, 22399, 88885, 222969}},
-{19482, 18, 102086, {1, 1, 5, 7, 19, 3, 121, 105, 383, 675, 777, 2073, 643, 14439, 19467, 13159, 115421, 250561}},
-{19483, 18, 102097, {1, 3, 5, 9, 13, 41, 119, 23, 355, 765, 579, 849, 3313, 2443, 29521, 42965, 102559, 227707}},
-{19484, 18, 102113, {1, 3, 3, 7, 23, 55, 115, 83, 331, 873, 797, 621, 1197, 15299, 26307, 34287, 120459, 260603}},
-{19485, 18, 102123, {1, 1, 3, 5, 7, 11, 113, 119, 65, 691, 1169, 2291, 7283, 1391, 10737, 3801, 40649, 191009}},
-{19486, 18, 102155, {1, 1, 7, 9, 3, 23, 95, 109, 457, 277, 871, 3013, 2833, 4131, 21081, 43635, 19875, 162173}},
-{19487, 18, 102157, {1, 1, 3, 15, 25, 7, 45, 109, 195, 935, 1487, 1603, 1663, 15595, 10687, 4073, 34863, 45851}},
-{19488, 18, 102169, {1, 1, 1, 5, 21, 19, 37, 141, 377, 553, 1225, 2485, 1235, 13179, 2587, 43659, 1405, 52023}},
-{19489, 18, 102181, {1, 3, 1, 9, 5, 27, 1, 219, 397, 555, 533, 941, 2755, 1295, 16157, 30733, 54279, 168455}},
-{19490, 18, 102182, {1, 3, 3, 1, 27, 41, 93, 177, 119, 581, 167, 3943, 5765, 15455, 555, 17419, 33117, 160599}},
-{19491, 18, 102185, {1, 1, 3, 7, 15, 25, 29, 177, 503, 529, 229, 2535, 1493, 805, 30983, 26309, 123453, 118441}},
-{19492, 18, 102199, {1, 1, 7, 15, 13, 33, 83, 151, 183, 433, 823, 4003, 1991, 6563, 18743, 61835, 56535, 191193}},
-{19493, 18, 102208, {1, 1, 1, 13, 9, 31, 91, 63, 455, 67, 243, 1573, 3507, 9491, 4677, 13835, 121603, 241781}},
-{19494, 18, 102213, {1, 1, 5, 5, 29, 13, 45, 29, 289, 909, 1923, 3371, 3675, 13119, 24599, 58511, 109467, 126865}},
-{19495, 18, 102226, {1, 1, 5, 9, 21, 41, 41, 179, 25, 463, 949, 819, 397, 12329, 3461, 34773, 61337, 23579}},
-{19496, 18, 102290, {1, 3, 3, 11, 1, 25, 17, 165, 77, 455, 1983, 143, 2763, 8165, 14849, 1601, 30093, 54599}},
-{19497, 18, 102296, {1, 1, 7, 3, 7, 1, 117, 117, 53, 611, 1405, 3357, 1717, 8157, 247, 17501, 30201, 192485}},
-{19498, 18, 102306, {1, 1, 1, 5, 23, 47, 95, 173, 133, 603, 1627, 4039, 5599, 10575, 30275, 60287, 3313, 77551}},
-{19499, 18, 102317, {1, 1, 1, 9, 31, 49, 87, 169, 221, 561, 1045, 365, 1955, 9905, 13057, 33717, 91203, 57513}},
-{19500, 18, 102337, {1, 3, 3, 1, 19, 25, 113, 231, 415, 717, 1767, 755, 4825, 7541, 10121, 9351, 72093, 255877}},
-{19501, 18, 102344, {1, 3, 1, 7, 1, 35, 3, 231, 345, 375, 809, 2753, 849, 13915, 16127, 7575, 45259, 28917}},
-{19502, 18, 102350, {1, 3, 3, 11, 23, 43, 13, 37, 305, 765, 517, 333, 473, 14949, 11939, 35171, 63963, 181825}},
-{19503, 18, 102378, {1, 3, 3, 3, 5, 43, 35, 89, 293, 913, 1325, 2097, 603, 14365, 4005, 38935, 23837, 34271}},
-{19504, 18, 102383, {1, 1, 3, 15, 1, 47, 67, 199, 167, 909, 1167, 1513, 7087, 5017, 23469, 2621, 24961, 226679}},
-{19505, 18, 102391, {1, 3, 7, 15, 23, 37, 111, 217, 33, 423, 457, 1767, 4821, 10233, 27045, 33397, 85351, 156751}},
-{19506, 18, 102400, {1, 3, 3, 7, 31, 25, 67, 65, 291, 169, 1505, 1707, 4833, 11541, 1189, 62959, 59831, 48729}},
-{19507, 18, 102409, {1, 1, 5, 7, 27, 27, 15, 23, 189, 819, 709, 3591, 2781, 14807, 20303, 27795, 88349, 210251}},
-{19508, 18, 102427, {1, 3, 7, 15, 1, 19, 49, 103, 219, 85, 1281, 3981, 7229, 10427, 11689, 1547, 90747, 12283}},
-{19509, 18, 102434, {1, 1, 1, 13, 31, 49, 81, 121, 287, 851, 333, 353, 7373, 10165, 1157, 11713, 89445, 210709}},
-{19510, 18, 102453, {1, 3, 7, 5, 31, 35, 3, 229, 443, 973, 1971, 1861, 5695, 6725, 6405, 45927, 115313, 228667}},
-{19511, 18, 102472, {1, 3, 3, 11, 29, 17, 105, 203, 69, 945, 1239, 3213, 6005, 10095, 31233, 37421, 62911, 91371}},
-{19512, 18, 102502, {1, 1, 7, 1, 21, 59, 7, 43, 391, 299, 1225, 283, 3351, 11495, 25071, 16619, 65127, 114033}},
-{19513, 18, 102525, {1, 1, 3, 9, 17, 11, 71, 73, 377, 437, 311, 1083, 6941, 1039, 1047, 55647, 21239, 209201}},
-{19514, 18, 102547, {1, 3, 7, 5, 29, 51, 113, 163, 215, 511, 615, 2427, 2747, 14389, 1005, 27015, 31809, 30603}},
-{19515, 18, 102554, {1, 1, 1, 3, 9, 61, 9, 201, 259, 411, 175, 1003, 401, 13695, 13103, 3075, 43695, 177139}},
-{19516, 18, 102560, {1, 1, 5, 3, 17, 47, 125, 173, 277, 17, 619, 2295, 3091, 5615, 4529, 54065, 81875, 97279}},
-{19517, 18, 102578, {1, 3, 3, 9, 3, 61, 97, 151, 287, 671, 1439, 1129, 6343, 8161, 24593, 40371, 109705, 106279}},
-{19518, 18, 102580, {1, 3, 3, 1, 5, 61, 21, 31, 41, 855, 1541, 3351, 575, 3195, 17155, 46913, 1797, 146401}},
-{19519, 18, 102597, {1, 1, 7, 13, 11, 43, 27, 97, 479, 117, 1873, 3103, 1947, 9273, 29171, 35719, 10601, 209629}},
-{19520, 18, 102616, {1, 3, 1, 9, 21, 47, 53, 129, 85, 505, 165, 3437, 5687, 10289, 6615, 46719, 50731, 25271}},
-{19521, 18, 102625, {1, 1, 3, 1, 1, 33, 37, 239, 45, 565, 1907, 3831, 2177, 10967, 12689, 49395, 36289, 247507}},
-{19522, 18, 102632, {1, 1, 5, 1, 19, 57, 75, 245, 59, 967, 1319, 3971, 5267, 11713, 15417, 60503, 63431, 157267}},
-{19523, 18, 102663, {1, 1, 5, 7, 7, 15, 99, 87, 331, 261, 1973, 219, 3063, 4071, 19273, 48637, 128089, 55511}},
-{19524, 18, 102669, {1, 3, 5, 13, 23, 43, 7, 171, 173, 1023, 1145, 3551, 5127, 6365, 18013, 1613, 51997, 107265}},
-{19525, 18, 102681, {1, 3, 5, 3, 7, 7, 23, 195, 251, 387, 1889, 3645, 4221, 6025, 27291, 24831, 123749, 231403}},
-{19526, 18, 102694, {1, 3, 1, 1, 29, 49, 107, 215, 93, 211, 1349, 1925, 7149, 1015, 27465, 34139, 126149, 121349}},
-{19527, 18, 102706, {1, 1, 5, 5, 19, 15, 121, 189, 167, 801, 483, 1955, 8031, 4749, 26665, 64791, 18671, 123221}},
-{19528, 18, 102715, {1, 3, 3, 15, 23, 57, 15, 249, 197, 103, 2021, 1897, 5975, 12821, 6441, 62719, 81415, 232417}},
-{19529, 18, 102723, {1, 1, 3, 9, 17, 45, 111, 225, 103, 121, 1259, 2849, 2235, 2041, 13261, 7929, 76325, 38677}},
-{19530, 18, 102730, {1, 1, 3, 9, 25, 17, 63, 63, 369, 387, 31, 1423, 5699, 12519, 27407, 53193, 963, 123473}},
-{19531, 18, 102743, {1, 3, 3, 13, 3, 59, 59, 3, 367, 357, 1391, 1519, 2619, 2291, 1349, 28275, 21655, 8763}},
-{19532, 18, 102856, {1, 1, 7, 1, 31, 51, 121, 49, 157, 509, 1513, 3247, 3439, 8691, 20729, 17585, 49013, 228695}},
-{19533, 18, 102870, {1, 1, 5, 9, 11, 29, 103, 49, 209, 35, 673, 1409, 2483, 4561, 12435, 46139, 31019, 50929}},
-{19534, 18, 102898, {1, 1, 3, 9, 11, 45, 77, 143, 277, 769, 1151, 3705, 7901, 3735, 31155, 46135, 84061, 254357}},
-{19535, 18, 102926, {1, 3, 3, 3, 5, 51, 95, 7, 155, 121, 1899, 2261, 2915, 6637, 6557, 20535, 20937, 257275}},
-{19536, 18, 102931, {1, 1, 7, 9, 13, 49, 125, 135, 7, 535, 1171, 3501, 1701, 5791, 10121, 9845, 21645, 56451}},
-{19537, 18, 102938, {1, 1, 7, 5, 9, 1, 115, 27, 229, 813, 133, 753, 1959, 13121, 30425, 31059, 114619, 132257}},
-{19538, 18, 102947, {1, 1, 5, 3, 23, 25, 41, 165, 21, 551, 1751, 3563, 731, 15811, 14777, 22327, 82853, 116699}},
-{19539, 18, 102968, {1, 3, 1, 9, 3, 25, 95, 211, 457, 25, 349, 921, 213, 5721, 26725, 19541, 102473, 200845}},
-{19540, 18, 102976, {1, 3, 1, 13, 5, 1, 31, 49, 493, 785, 61, 2603, 5997, 12545, 9793, 32521, 99859, 256105}},
-{19541, 18, 102993, {1, 3, 3, 7, 31, 19, 31, 121, 507, 79, 685, 197, 4027, 12909, 30533, 38427, 38993, 14581}},
-{19542, 18, 103005, {1, 3, 7, 13, 13, 23, 63, 15, 223, 25, 1957, 2527, 6061, 11753, 4835, 34553, 45579, 205805}},
-{19543, 18, 103019, {1, 3, 3, 3, 5, 39, 55, 123, 275, 185, 749, 3227, 8137, 12959, 7243, 20613, 46247, 106127}},
-{19544, 18, 103022, {1, 1, 7, 13, 1, 21, 49, 145, 237, 291, 1721, 2981, 267, 1255, 21817, 39553, 21937, 115307}},
-{19545, 18, 103057, {1, 1, 1, 15, 5, 63, 3, 201, 117, 991, 1049, 1975, 5117, 5799, 28211, 37907, 46799, 240847}},
-{19546, 18, 103080, {1, 3, 3, 5, 25, 15, 29, 111, 201, 857, 319, 2695, 4251, 4303, 28495, 12481, 31979, 107503}},
-{19547, 18, 103100, {1, 1, 3, 11, 3, 27, 81, 55, 489, 983, 293, 3181, 4593, 4759, 18437, 51185, 47701, 75469}},
-{19548, 18, 103106, {1, 3, 1, 3, 11, 25, 113, 243, 365, 299, 1717, 561, 5173, 5983, 7453, 33563, 98519, 162451}},
-{19549, 18, 103126, {1, 3, 1, 5, 1, 21, 3, 87, 267, 483, 1397, 791, 4807, 4649, 13713, 19861, 110471, 51443}},
-{19550, 18, 103173, {1, 3, 7, 5, 31, 9, 13, 251, 351, 609, 841, 3267, 4201, 8771, 6673, 44867, 105221, 189399}},
-{19551, 18, 103202, {1, 1, 3, 1, 13, 43, 47, 153, 331, 1013, 705, 1867, 563, 6361, 7407, 46243, 30521, 213831}},
-{19552, 18, 103207, {1, 3, 3, 7, 29, 41, 3, 179, 319, 877, 905, 3803, 2775, 9729, 5673, 9521, 117887, 37605}},
-{19553, 18, 103219, {1, 1, 5, 5, 11, 49, 111, 195, 467, 931, 849, 2785, 7829, 2291, 29031, 52019, 86493, 213971}},
-{19554, 18, 103226, {1, 1, 3, 11, 13, 11, 81, 81, 419, 621, 181, 1203, 7305, 7857, 16885, 2531, 53127, 35553}},
-{19555, 18, 103228, {1, 1, 5, 1, 19, 35, 75, 131, 159, 211, 319, 2805, 6497, 14759, 28997, 62347, 4013, 233821}},
-{19556, 18, 103248, {1, 3, 3, 15, 1, 55, 107, 105, 35, 369, 1259, 665, 6717, 2555, 7149, 10373, 33153, 105915}},
-{19557, 18, 103274, {1, 3, 7, 5, 31, 13, 27, 207, 359, 355, 2047, 1777, 5555, 12659, 30547, 3655, 86189, 961}},
-{19558, 18, 103288, {1, 3, 7, 9, 9, 55, 7, 117, 57, 115, 745, 501, 2341, 3899, 8229, 10625, 66905, 187959}},
-{19559, 18, 103291, {1, 3, 3, 13, 25, 43, 87, 197, 303, 405, 1459, 3385, 4109, 8325, 24747, 18405, 48845, 96673}},
-{19560, 18, 103293, {1, 3, 5, 3, 21, 37, 109, 9, 183, 585, 1287, 3851, 4939, 1057, 19489, 42603, 32447, 117957}},
-{19561, 18, 103324, {1, 1, 5, 13, 3, 47, 109, 115, 73, 733, 1189, 3773, 7471, 10339, 5093, 50253, 122665, 254381}},
-{19562, 18, 103358, {1, 1, 5, 5, 21, 33, 113, 187, 51, 245, 241, 3887, 4075, 11945, 20883, 18817, 43567, 851}},
-{19563, 18, 103372, {1, 3, 7, 3, 1, 29, 87, 101, 29, 93, 643, 2659, 1753, 4797, 17477, 16087, 43453, 110383}},
-{19564, 18, 103375, {1, 1, 7, 13, 17, 51, 75, 91, 445, 171, 1369, 499, 3753, 14035, 4445, 21437, 86205, 231163}},
-{19565, 18, 103390, {1, 1, 7, 13, 17, 41, 67, 49, 225, 659, 1181, 1751, 5211, 6847, 20339, 34271, 60273, 52315}},
-{19566, 18, 103414, {1, 1, 5, 5, 5, 17, 87, 223, 25, 773, 53, 2447, 6805, 6547, 4429, 46809, 51171, 66457}},
-{19567, 18, 103432, {1, 1, 5, 3, 29, 49, 11, 205, 279, 821, 725, 2425, 443, 211, 6347, 59845, 90763, 237911}},
-{19568, 18, 103446, {1, 1, 3, 9, 31, 7, 49, 1, 229, 755, 517, 809, 2955, 3571, 2385, 33097, 19659, 55397}},
-{19569, 18, 103455, {1, 3, 5, 3, 5, 21, 67, 227, 359, 401, 1697, 2131, 4585, 2661, 3659, 22621, 51639, 245877}},
-{19570, 18, 103471, {1, 1, 7, 5, 11, 7, 57, 133, 9, 917, 427, 2777, 6009, 11393, 29473, 59311, 77095, 176215}},
-{19571, 18, 103474, {1, 1, 7, 5, 13, 29, 101, 15, 293, 7, 797, 437, 3739, 3369, 16917, 19047, 17773, 219541}},
-{19572, 18, 103476, {1, 3, 1, 9, 13, 51, 15, 19, 209, 991, 413, 787, 3797, 14029, 23699, 8591, 40429, 56115}},
-{19573, 18, 103515, {1, 3, 7, 3, 31, 9, 77, 33, 487, 155, 1903, 3023, 8163, 385, 4703, 57511, 102083, 85785}},
-{19574, 18, 103527, {1, 1, 5, 11, 17, 59, 115, 73, 89, 723, 1523, 2671, 1755, 3463, 19861, 31573, 126405, 90215}},
-{19575, 18, 103542, {1, 3, 3, 13, 17, 27, 123, 37, 71, 173, 203, 1245, 7905, 8955, 22589, 56705, 120473, 90129}},
-{19576, 18, 103562, {1, 3, 3, 1, 17, 63, 55, 225, 259, 531, 1493, 2639, 1319, 10865, 17993, 11205, 13253, 111261}},
-{19577, 18, 103569, {1, 1, 1, 11, 25, 17, 41, 45, 385, 1009, 1573, 1797, 527, 543, 14743, 35789, 63871, 112183}},
-{19578, 18, 103572, {1, 1, 7, 15, 15, 57, 109, 127, 143, 955, 1091, 2585, 3429, 11763, 5849, 53805, 116865, 68895}},
-{19579, 18, 103581, {1, 1, 7, 15, 9, 11, 1, 9, 491, 765, 1835, 3825, 5043, 13091, 4123, 19621, 17687, 241015}},
-{19580, 18, 103609, {1, 3, 5, 7, 25, 51, 117, 193, 91, 451, 1871, 3819, 1881, 8065, 25809, 36257, 107955, 37109}},
-{19581, 18, 103612, {1, 3, 1, 15, 5, 5, 101, 7, 59, 859, 977, 2673, 2825, 3291, 26283, 23467, 28383, 257775}},
-{19582, 18, 103618, {1, 3, 3, 15, 17, 43, 87, 191, 85, 829, 653, 327, 1773, 10101, 2707, 18341, 61435, 242215}},
-{19583, 18, 103637, {1, 3, 7, 13, 27, 43, 127, 253, 403, 81, 505, 2841, 1509, 4951, 23791, 18099, 46747, 192717}},
-{19584, 18, 103644, {1, 1, 1, 9, 31, 15, 127, 29, 171, 999, 1919, 4059, 2781, 2475, 8997, 15459, 37003, 217141}},
-{19585, 18, 103653, {1, 3, 3, 1, 31, 41, 67, 31, 171, 719, 789, 645, 3925, 11117, 1241, 63221, 1087, 59789}},
-{19586, 18, 103663, {1, 1, 1, 9, 17, 41, 107, 13, 405, 879, 1955, 3309, 1281, 10601, 13883, 43987, 111691, 130555}},
-{19587, 18, 103671, {1, 3, 7, 9, 21, 17, 127, 243, 51, 689, 1945, 3769, 7121, 7703, 16825, 34893, 32167, 20167}},
-{19588, 18, 103678, {1, 1, 1, 5, 7, 7, 61, 149, 75, 289, 717, 1951, 5917, 13375, 15683, 27507, 10897, 199009}},
-{19589, 18, 103695, {1, 3, 7, 9, 25, 61, 43, 167, 45, 299, 5, 125, 3289, 13685, 10843, 25535, 98383, 143401}},
-{19590, 18, 103698, {1, 1, 3, 15, 21, 27, 37, 45, 233, 179, 611, 3025, 7887, 9421, 16791, 17147, 49013, 33249}},
-{19591, 18, 103720, {1, 3, 7, 15, 19, 43, 43, 9, 255, 295, 649, 811, 1303, 1989, 5401, 53891, 42679, 66879}},
-{19592, 18, 103723, {1, 1, 7, 7, 25, 31, 89, 199, 455, 733, 295, 1157, 4375, 7341, 7823, 6025, 56311, 257579}},
-{19593, 18, 103738, {1, 1, 7, 3, 1, 51, 15, 29, 35, 917, 1839, 741, 1089, 8615, 4967, 34047, 32981, 200693}},
-{19594, 18, 103743, {1, 3, 3, 11, 21, 13, 71, 53, 315, 801, 1015, 3829, 2297, 6649, 28501, 18173, 83121, 107195}},
-{19595, 18, 103745, {1, 1, 7, 7, 1, 5, 127, 103, 435, 707, 7, 1045, 187, 10927, 32395, 24999, 58463, 94069}},
-{19596, 18, 103757, {1, 1, 7, 9, 11, 25, 73, 57, 231, 455, 1033, 2899, 2861, 8811, 21671, 16115, 97807, 221791}},
-{19597, 18, 103810, {1, 3, 5, 11, 11, 19, 105, 37, 181, 1, 1231, 2275, 4789, 13071, 24843, 25901, 123711, 145609}},
-{19598, 18, 103822, {1, 3, 7, 13, 7, 7, 21, 215, 393, 43, 1713, 2921, 1959, 14417, 17109, 55793, 36285, 81731}},
-{19599, 18, 103855, {1, 1, 5, 15, 29, 15, 5, 115, 15, 795, 1535, 2473, 3663, 10123, 20721, 32739, 21141, 217731}},
-{19600, 18, 103887, {1, 1, 3, 1, 15, 13, 21, 49, 293, 689, 985, 3949, 3329, 7167, 16925, 15069, 47345, 192749}},
-{19601, 18, 103905, {1, 3, 3, 7, 5, 27, 85, 11, 337, 651, 777, 1775, 5279, 15229, 21473, 36561, 85293, 27893}},
-{19602, 18, 103915, {1, 3, 7, 1, 15, 29, 7, 199, 71, 893, 1587, 1831, 3891, 3299, 14323, 23165, 28199, 84055}},
-{19603, 18, 103925, {1, 1, 1, 7, 9, 27, 15, 75, 497, 127, 433, 1781, 3711, 12659, 3765, 40827, 112425, 36281}},
-{19604, 18, 103929, {1, 1, 5, 1, 31, 59, 9, 91, 301, 217, 2013, 2015, 265, 3795, 14609, 13389, 5451, 260169}},
-{19605, 18, 103945, {1, 1, 1, 15, 19, 43, 85, 37, 33, 687, 1253, 2615, 4027, 3741, 13971, 21261, 106261, 204233}},
-{19606, 18, 103954, {1, 1, 7, 9, 31, 45, 105, 111, 207, 433, 633, 3949, 8057, 5049, 23657, 12227, 86251, 218077}},
-{19607, 18, 103969, {1, 3, 5, 11, 13, 33, 1, 67, 117, 595, 1835, 287, 2509, 14841, 1525, 15761, 61319, 182531}},
-{19608, 18, 104011, {1, 1, 3, 9, 7, 43, 105, 85, 17, 349, 1769, 3945, 31, 4907, 9373, 22447, 70905, 29189}},
-{19609, 18, 104055, {1, 1, 5, 5, 9, 19, 93, 179, 95, 255, 1807, 2717, 4757, 15025, 19479, 63499, 42441, 236519}},
-{19610, 18, 104111, {1, 1, 1, 1, 21, 35, 1, 101, 343, 1023, 1311, 347, 301, 8419, 23367, 31543, 51661, 148277}},
-{19611, 18, 104116, {1, 1, 7, 11, 23, 37, 113, 207, 147, 743, 1905, 1683, 3733, 5659, 22491, 62129, 111671, 227019}},
-{19612, 18, 104125, {1, 1, 3, 13, 27, 5, 21, 207, 445, 319, 1355, 2541, 2853, 583, 1261, 64477, 18337, 91611}},
-{19613, 18, 104145, {1, 3, 5, 3, 1, 31, 51, 55, 487, 735, 1599, 523, 5323, 10855, 28717, 62103, 18671, 143885}},
-{19614, 18, 104162, {1, 3, 1, 1, 15, 5, 79, 107, 173, 747, 1213, 1151, 875, 12759, 27115, 16403, 31349, 208909}},
-{19615, 18, 104176, {1, 3, 5, 9, 13, 57, 35, 121, 135, 237, 1707, 3655, 8109, 3623, 5119, 27645, 49401, 46453}},
-{19616, 18, 104193, {1, 3, 7, 11, 27, 3, 103, 231, 43, 515, 1279, 499, 1355, 2605, 11587, 33641, 81661, 29441}},
-{19617, 18, 104199, {1, 3, 5, 7, 13, 27, 55, 191, 81, 185, 527, 519, 4555, 3349, 24533, 60635, 40009, 230761}},
-{19618, 18, 104224, {1, 1, 5, 3, 13, 35, 75, 211, 67, 305, 705, 543, 3819, 16265, 9867, 64309, 35047, 24873}},
-{19619, 18, 104236, {1, 3, 1, 1, 11, 37, 75, 3, 145, 327, 1243, 3291, 7127, 5009, 7757, 59567, 90459, 98035}},
-{19620, 18, 104247, {1, 3, 5, 9, 9, 5, 71, 29, 243, 41, 447, 2597, 1243, 12899, 19681, 30523, 90799, 142279}},
-{19621, 18, 104254, {1, 3, 3, 3, 15, 21, 25, 101, 451, 651, 143, 3899, 3377, 4855, 23843, 25047, 87951, 239229}},
-{19622, 18, 104289, {1, 1, 1, 1, 23, 29, 25, 31, 227, 43, 399, 723, 693, 12379, 11343, 46123, 105435, 224997}},
-{19623, 18, 104325, {1, 1, 7, 3, 21, 47, 77, 57, 397, 689, 267, 813, 1279, 1727, 7451, 34025, 90273, 111663}},
-{19624, 18, 104332, {1, 1, 5, 3, 25, 61, 7, 137, 271, 723, 495, 2575, 3695, 4947, 31973, 47835, 107003, 221839}},
-{19625, 18, 104335, {1, 3, 1, 7, 5, 25, 21, 95, 323, 3, 613, 1721, 2551, 8803, 6803, 52765, 34543, 110945}},
-{19626, 18, 104353, {1, 3, 5, 9, 27, 23, 123, 193, 63, 161, 1395, 679, 161, 13719, 29321, 19243, 51947, 229547}},
-{19627, 18, 104363, {1, 3, 5, 15, 15, 37, 127, 103, 439, 513, 989, 1393, 3761, 9109, 20649, 18171, 69939, 117447}},
-{19628, 18, 104371, {1, 1, 7, 9, 7, 57, 87, 159, 195, 821, 57, 2469, 7693, 6759, 32595, 41109, 94785, 53381}},
-{19629, 18, 104373, {1, 3, 3, 7, 17, 63, 41, 7, 437, 469, 1453, 3741, 7591, 5563, 11819, 23861, 129777, 119731}},
-{19630, 18, 104406, {1, 1, 3, 3, 27, 55, 21, 145, 243, 991, 687, 909, 2105, 4485, 9095, 3677, 53819, 183027}},
-{19631, 18, 104412, {1, 1, 1, 15, 13, 61, 27, 81, 95, 37, 1439, 973, 7613, 5749, 16811, 26801, 105745, 8847}},
-{19632, 18, 104440, {1, 3, 1, 9, 15, 17, 111, 61, 27, 373, 89, 2729, 6397, 4899, 11297, 4403, 30657, 207379}},
-{19633, 18, 104459, {1, 3, 5, 15, 19, 9, 19, 19, 497, 667, 105, 601, 6715, 6355, 4231, 19241, 101771, 105651}},
-{19634, 18, 104461, {1, 1, 3, 9, 11, 11, 115, 109, 177, 753, 997, 2119, 5969, 13377, 13285, 25373, 105023, 158393}},
-{19635, 18, 104469, {1, 3, 5, 15, 27, 23, 19, 117, 129, 457, 1973, 2171, 8071, 2093, 13407, 9295, 82967, 184753}},
-{19636, 18, 104479, {1, 1, 7, 5, 1, 45, 9, 25, 307, 629, 1169, 2859, 3987, 11411, 13609, 44993, 26019, 107003}},
-{19637, 18, 104483, {1, 1, 1, 13, 29, 15, 13, 163, 203, 885, 281, 1605, 8001, 899, 4081, 65467, 61283, 198963}},
-{19638, 18, 104490, {1, 1, 3, 5, 27, 9, 89, 193, 375, 633, 1807, 2069, 3467, 3167, 23751, 39115, 90093, 190365}},
-{19639, 18, 104500, {1, 3, 3, 5, 1, 1, 19, 161, 21, 745, 493, 2227, 7993, 3337, 27041, 4817, 58963, 237015}},
-{19640, 18, 104536, {1, 3, 5, 15, 15, 45, 51, 145, 299, 787, 1059, 2407, 1143, 775, 17473, 22235, 18241, 103897}},
-{19641, 18, 104560, {1, 1, 1, 9, 11, 35, 75, 195, 281, 935, 113, 3009, 4797, 7221, 12475, 18563, 10315, 255541}},
-{19642, 18, 104569, {1, 1, 5, 7, 25, 9, 121, 179, 303, 511, 2041, 1485, 529, 13843, 29013, 28139, 63237, 21259}},
-{19643, 18, 104588, {1, 3, 7, 11, 9, 21, 61, 177, 63, 179, 679, 17, 4069, 8929, 14499, 53913, 27925, 48449}},
-{19644, 18, 104591, {1, 3, 5, 3, 9, 27, 111, 247, 253, 175, 1591, 3583, 3351, 9039, 597, 23859, 126585, 157367}},
-{19645, 18, 104621, {1, 1, 7, 9, 1, 9, 29, 1, 273, 89, 767, 1873, 39, 10487, 29857, 23577, 67457, 44571}},
-{19646, 18, 104661, {1, 1, 7, 5, 5, 23, 13, 181, 283, 333, 21, 1409, 5937, 8981, 7445, 61267, 21729, 32677}},
-{19647, 18, 104675, {1, 3, 1, 15, 31, 5, 45, 253, 179, 91, 341, 359, 4269, 7567, 23699, 30589, 42909, 126171}},
-{19648, 18, 104684, {1, 3, 7, 7, 23, 45, 15, 93, 115, 873, 49, 845, 827, 14357, 20163, 41565, 37105, 120331}},
-{19649, 18, 104713, {1, 1, 7, 7, 15, 25, 55, 175, 11, 457, 1537, 1937, 807, 11399, 27751, 16935, 75231, 204039}},
-{19650, 18, 104747, {1, 3, 7, 13, 1, 37, 67, 145, 471, 1013, 1273, 4093, 4449, 4433, 29063, 205, 93249, 140383}},
-{19651, 18, 104750, {1, 3, 1, 13, 1, 57, 85, 223, 349, 125, 863, 2179, 7813, 8817, 1767, 19169, 41367, 65883}},
-{19652, 18, 104757, {1, 3, 3, 15, 21, 39, 3, 31, 67, 505, 271, 505, 5495, 4183, 3631, 4567, 48061, 149565}},
-{19653, 18, 104775, {1, 1, 7, 11, 13, 39, 109, 201, 287, 1013, 1505, 3105, 3845, 1963, 4361, 61753, 29145, 146235}},
-{19654, 18, 104782, {1, 3, 5, 3, 29, 39, 71, 99, 501, 53, 835, 3295, 5335, 1017, 25913, 63637, 115353, 210509}},
-{19655, 18, 104803, {1, 3, 1, 13, 9, 53, 33, 177, 419, 63, 793, 1329, 2261, 11633, 18805, 49771, 47533, 74949}},
-{19656, 18, 104820, {1, 3, 7, 11, 7, 49, 123, 237, 195, 17, 1919, 1911, 4135, 11829, 26307, 34905, 114361, 228655}},
-{19657, 18, 104824, {1, 3, 5, 3, 5, 57, 65, 161, 195, 857, 1187, 2303, 1975, 2555, 26065, 17963, 57403, 136193}},
-{19658, 18, 104829, {1, 1, 3, 11, 1, 5, 105, 217, 229, 769, 1393, 2419, 7751, 14293, 9407, 4569, 30663, 89345}},
-{19659, 18, 104830, {1, 3, 3, 7, 23, 15, 15, 189, 67, 863, 485, 2435, 5145, 10537, 16485, 50369, 118245, 253201}},
-{19660, 18, 104836, {1, 1, 1, 5, 27, 27, 47, 129, 383, 227, 115, 3027, 1575, 15765, 10207, 4885, 125707, 184703}},
-{19661, 18, 104851, {1, 3, 5, 5, 17, 9, 45, 55, 151, 751, 415, 2139, 8071, 2309, 27641, 29743, 47183, 21437}},
-{19662, 18, 104882, {1, 3, 3, 7, 9, 47, 51, 31, 261, 237, 1695, 1065, 4503, 7167, 25791, 39659, 90145, 130481}},
-{19663, 18, 104920, {1, 1, 3, 3, 21, 27, 53, 249, 407, 779, 1315, 1005, 6953, 14959, 2265, 61645, 118623, 254067}},
-{19664, 18, 104941, {1, 3, 1, 9, 13, 25, 33, 225, 467, 325, 1513, 1237, 1569, 8749, 1587, 4699, 19893, 163597}},
-{19665, 18, 104963, {1, 3, 5, 5, 29, 29, 1, 55, 437, 575, 149, 791, 4243, 4405, 22963, 64125, 21631, 25819}},
-{19666, 18, 104989, {1, 3, 5, 3, 25, 9, 19, 27, 419, 139, 2035, 2065, 1925, 11499, 20053, 13161, 15115, 120891}},
-{19667, 18, 104999, {1, 1, 5, 9, 7, 9, 113, 3, 195, 555, 863, 595, 6569, 9819, 14727, 38285, 13737, 130903}},
-{19668, 18, 105006, {1, 1, 3, 7, 19, 17, 35, 107, 489, 285, 247, 3103, 2919, 11163, 2811, 62081, 42989, 24495}},
-{19669, 18, 105040, {1, 3, 1, 15, 17, 5, 123, 221, 117, 689, 1567, 3803, 5801, 14121, 23263, 8851, 41559, 226271}},
-{19670, 18, 105066, {1, 1, 1, 15, 21, 39, 87, 135, 485, 59, 1899, 2483, 2599, 8783, 6129, 55407, 7291, 217117}},
-{19671, 18, 105089, {1, 1, 3, 11, 27, 53, 45, 241, 51, 829, 121, 3047, 6785, 15127, 13923, 47913, 9087, 112005}},
-{19672, 18, 105120, {1, 1, 1, 13, 5, 9, 45, 37, 235, 497, 871, 1471, 2895, 247, 9085, 39611, 63445, 218391}},
-{19673, 18, 105125, {1, 1, 5, 3, 5, 29, 23, 155, 339, 293, 535, 1569, 2625, 2867, 4639, 53049, 88721, 96903}},
-{19674, 18, 105137, {1, 1, 3, 15, 5, 25, 17, 45, 47, 683, 949, 1381, 5929, 9539, 3345, 59883, 19071, 200411}},
-{19675, 18, 105179, {1, 1, 1, 11, 11, 5, 71, 15, 469, 749, 1763, 541, 7109, 11731, 8463, 35145, 121795, 219441}},
-{19676, 18, 105215, {1, 3, 7, 11, 5, 17, 63, 159, 69, 993, 1519, 1531, 6913, 3901, 22131, 42909, 41299, 261813}},
-{19677, 18, 105244, {1, 1, 3, 5, 21, 27, 27, 197, 339, 275, 2011, 2263, 855, 1939, 21561, 30577, 6515, 124417}},
-{19678, 18, 105258, {1, 3, 5, 15, 25, 35, 91, 31, 269, 857, 327, 3643, 3211, 14401, 18399, 9007, 12897, 25555}},
-{19679, 18, 105263, {1, 1, 7, 15, 19, 47, 127, 157, 407, 867, 943, 1509, 3113, 49, 32131, 46975, 130013, 66457}},
-{19680, 18, 105280, {1, 3, 3, 13, 31, 45, 59, 135, 67, 825, 157, 2441, 2851, 2355, 28115, 14075, 106317, 145945}},
-{19681, 18, 105286, {1, 1, 1, 15, 27, 27, 5, 211, 85, 749, 671, 1341, 6865, 10027, 14419, 20159, 126647, 147893}},
-{19682, 18, 105380, {1, 1, 1, 7, 25, 49, 115, 231, 65, 161, 1409, 573, 2859, 639, 12567, 58459, 73781, 136893}},
-{19683, 18, 105397, {1, 1, 1, 7, 11, 57, 97, 141, 327, 975, 1799, 3051, 365, 9331, 14583, 16723, 113153, 224127}},
-{19684, 18, 105409, {1, 3, 1, 13, 13, 17, 105, 109, 151, 41, 1903, 1685, 2285, 5697, 16559, 34133, 106045, 203217}},
-{19685, 18, 105427, {1, 1, 1, 3, 29, 61, 43, 255, 269, 277, 1847, 3781, 7991, 131, 9833, 34305, 10763, 41869}},
-{19686, 18, 105452, {1, 1, 7, 3, 11, 1, 85, 89, 247, 99, 419, 2041, 3729, 10301, 5291, 36033, 31749, 261871}},
-{19687, 18, 105469, {1, 3, 7, 9, 27, 27, 41, 3, 303, 893, 697, 1631, 5015, 4233, 22827, 3913, 22245, 121193}},
-{19688, 18, 105472, {1, 3, 3, 13, 19, 11, 15, 239, 419, 123, 1213, 185, 4465, 4909, 25421, 18363, 72537, 167939}},
-{19689, 18, 105477, {1, 1, 3, 5, 13, 49, 57, 197, 19, 877, 1465, 2933, 5909, 7147, 1039, 37035, 91209, 126013}},
-{19690, 18, 105490, {1, 1, 3, 5, 23, 7, 63, 179, 59, 47, 1501, 1863, 2949, 13959, 28131, 29705, 107975, 155251}},
-{19691, 18, 105505, {1, 1, 1, 5, 25, 51, 77, 169, 327, 585, 1531, 3367, 3075, 6313, 26725, 453, 68635, 173787}},
-{19692, 18, 105529, {1, 3, 7, 9, 5, 15, 43, 45, 311, 367, 297, 2249, 7507, 4785, 22685, 37279, 121683, 141453}},
-{19693, 18, 105530, {1, 3, 7, 15, 17, 33, 43, 251, 281, 345, 1659, 3729, 7629, 6179, 26107, 64255, 88003, 2545}},
-{19694, 18, 105604, {1, 3, 7, 9, 17, 13, 71, 49, 341, 495, 1975, 173, 5773, 3821, 6615, 50917, 53781, 75557}},
-{19695, 18, 105614, {1, 1, 5, 13, 17, 21, 121, 35, 195, 367, 1191, 1331, 6423, 8425, 7705, 59117, 44575, 225431}},
-{19696, 18, 105622, {1, 1, 1, 5, 25, 39, 89, 65, 449, 491, 211, 2949, 4493, 23, 22571, 4801, 50525, 222563}},
-{19697, 18, 105625, {1, 1, 7, 5, 7, 21, 15, 171, 443, 225, 577, 1841, 8139, 15071, 6095, 60185, 71957, 244753}},
-{19698, 18, 105652, {1, 1, 5, 9, 31, 33, 21, 195, 415, 1003, 441, 627, 2339, 8245, 11187, 55933, 59045, 177455}},
-{19699, 18, 105687, {1, 1, 3, 9, 31, 29, 7, 15, 31, 577, 1435, 1317, 2923, 3807, 29693, 45857, 61787, 213565}},
-{19700, 18, 105693, {1, 3, 7, 15, 17, 51, 65, 87, 295, 811, 753, 1113, 7695, 275, 28331, 46363, 53247, 166993}},
-{19701, 18, 105707, {1, 1, 5, 11, 15, 31, 31, 47, 273, 383, 1831, 3821, 1337, 13257, 415, 35453, 15293, 173095}},
-{19702, 18, 105721, {1, 3, 1, 13, 19, 21, 63, 199, 159, 475, 1257, 3119, 7083, 2861, 21099, 16873, 83583, 186289}},
-{19703, 18, 105730, {1, 1, 7, 13, 15, 23, 11, 103, 387, 899, 261, 2863, 3681, 5683, 5587, 64655, 7411, 148633}},
-{19704, 18, 105736, {1, 3, 1, 13, 1, 45, 5, 173, 379, 287, 1451, 2253, 3811, 10963, 20285, 59681, 81285, 48523}},
-{19705, 18, 105753, {1, 1, 5, 9, 27, 17, 57, 25, 499, 289, 1083, 3057, 793, 5251, 10519, 36647, 67751, 237487}},
-{19706, 18, 105759, {1, 1, 3, 1, 17, 13, 23, 73, 1, 951, 111, 3769, 3611, 4827, 10081, 55919, 21411, 127303}},
-{19707, 18, 105760, {1, 3, 1, 1, 29, 35, 93, 139, 179, 217, 1839, 1907, 4365, 1813, 31985, 28927, 39319, 233413}},
-{19708, 18, 105802, {1, 1, 1, 7, 7, 47, 37, 127, 449, 473, 311, 3833, 3263, 4163, 15985, 50159, 82685, 73273}},
-{19709, 18, 105822, {1, 1, 1, 3, 3, 5, 69, 95, 101, 115, 1575, 63, 1897, 13733, 22149, 8793, 82983, 192553}},
-{19710, 18, 105832, {1, 3, 1, 5, 3, 57, 121, 13, 291, 975, 505, 3105, 6929, 12737, 25869, 29173, 16757, 17733}},
-{19711, 18, 105865, {1, 1, 3, 13, 13, 23, 51, 51, 239, 795, 877, 1547, 6533, 11497, 14309, 32941, 128109, 187313}},
-{19712, 18, 105873, {1, 1, 3, 5, 19, 37, 57, 223, 509, 379, 1235, 1881, 4133, 13219, 5479, 36781, 56155, 231001}},
-{19713, 18, 105874, {1, 1, 1, 5, 25, 45, 111, 183, 37, 875, 1487, 3771, 5593, 6835, 10921, 40697, 114455, 259491}},
-{19714, 18, 105880, {1, 1, 3, 11, 13, 5, 43, 47, 7, 435, 1543, 3835, 1631, 8889, 23567, 24705, 26687, 14261}},
-{19715, 18, 105899, {1, 3, 3, 11, 1, 13, 51, 171, 433, 1011, 679, 1307, 1683, 7379, 7163, 29727, 40209, 259973}},
-{19716, 18, 105902, {1, 3, 1, 5, 25, 33, 111, 11, 303, 815, 1883, 263, 7907, 12637, 19203, 64151, 55739, 240509}},
-{19717, 18, 105909, {1, 3, 5, 7, 23, 51, 3, 183, 425, 47, 231, 807, 1891, 10943, 17873, 20209, 60871, 30269}},
-{19718, 18, 105919, {1, 1, 1, 1, 1, 23, 11, 183, 351, 5, 37, 3883, 1291, 15933, 11379, 53057, 61389, 240547}},
-{19719, 18, 105922, {1, 3, 1, 5, 7, 53, 97, 29, 239, 805, 1929, 1001, 5103, 11, 24695, 7825, 109755, 254717}},
-{19720, 18, 105946, {1, 3, 3, 11, 15, 37, 115, 117, 391, 313, 1761, 3627, 3931, 10277, 1767, 25401, 123827, 60463}},
-{19721, 18, 105975, {1, 1, 7, 9, 9, 61, 23, 65, 473, 579, 1979, 415, 629, 3613, 27409, 46909, 3281, 3883}},
-{19722, 18, 105992, {1, 3, 3, 13, 25, 17, 71, 247, 297, 451, 153, 1949, 2727, 6427, 19815, 54013, 129363, 248237}},
-{19723, 18, 106005, {1, 1, 7, 7, 29, 9, 57, 171, 159, 287, 693, 1365, 4665, 5255, 15013, 21225, 125409, 5893}},
-{19724, 18, 106057, {1, 3, 3, 1, 9, 43, 13, 139, 359, 267, 115, 2025, 693, 4789, 10353, 60459, 30835, 56575}},
-{19725, 18, 106081, {1, 1, 1, 7, 23, 35, 35, 77, 245, 705, 75, 2841, 1683, 6109, 19661, 49021, 25019, 7297}},
-{19726, 18, 106093, {1, 3, 1, 5, 1, 19, 49, 53, 19, 435, 1471, 409, 7051, 7057, 3621, 42925, 59551, 70941}},
-{19727, 18, 106117, {1, 3, 7, 5, 21, 27, 39, 221, 389, 255, 537, 597, 7729, 10473, 6657, 13261, 11303, 112409}},
-{19728, 18, 106127, {1, 3, 7, 13, 29, 29, 81, 107, 329, 25, 537, 561, 2247, 10371, 30031, 20537, 28437, 113319}},
-{19729, 18, 106135, {1, 1, 5, 9, 9, 7, 89, 155, 337, 829, 755, 3259, 3563, 11849, 31179, 43297, 79601, 187545}},
-{19730, 18, 106141, {1, 3, 3, 5, 11, 63, 101, 159, 357, 627, 587, 3233, 405, 4083, 5953, 44541, 110723, 240573}},
-{19731, 18, 106189, {1, 1, 3, 15, 5, 39, 87, 231, 455, 195, 1603, 315, 3869, 6375, 745, 28349, 56469, 119033}},
-{19732, 18, 106190, {1, 1, 7, 1, 11, 7, 79, 47, 391, 585, 1299, 3237, 7345, 15959, 4293, 43285, 111737, 215923}},
-{19733, 18, 106197, {1, 1, 3, 15, 21, 53, 113, 73, 265, 589, 299, 289, 3983, 1653, 17407, 15287, 53199, 44221}},
-{19734, 18, 106214, {1, 3, 1, 3, 1, 13, 31, 41, 509, 523, 401, 2647, 2731, 5699, 15649, 51737, 81249, 230865}},
-{19735, 18, 106237, {1, 3, 5, 3, 15, 53, 91, 209, 249, 243, 1119, 2531, 319, 9259, 26555, 59579, 28767, 235073}},
-{19736, 18, 106245, {1, 1, 1, 13, 29, 25, 57, 3, 413, 945, 841, 1151, 7167, 2545, 7283, 3947, 109375, 148677}},
-{19737, 18, 106257, {1, 3, 3, 7, 29, 27, 81, 141, 21, 771, 577, 897, 73, 13081, 30035, 49213, 90627, 7483}},
-{19738, 18, 106300, {1, 3, 1, 13, 23, 11, 19, 159, 183, 789, 683, 2071, 7107, 3025, 27333, 9571, 69621, 48529}},
-{19739, 18, 106335, {1, 3, 1, 9, 5, 43, 7, 123, 341, 75, 1709, 135, 7929, 14563, 6849, 32783, 91971, 223789}},
-{19740, 18, 106351, {1, 1, 7, 3, 19, 13, 45, 229, 7, 559, 1895, 2649, 7593, 1063, 17715, 45019, 29743, 37819}},
-{19741, 18, 106370, {1, 1, 5, 3, 11, 25, 11, 169, 249, 415, 249, 209, 2223, 5947, 23381, 12109, 37697, 131729}},
-{19742, 18, 106375, {1, 1, 1, 7, 19, 47, 125, 117, 235, 825, 801, 921, 2363, 1261, 20529, 65445, 55315, 173561}},
-{19743, 18, 106376, {1, 1, 1, 1, 5, 39, 31, 11, 239, 333, 727, 3991, 1453, 2201, 18129, 3513, 112057, 109673}},
-{19744, 18, 106384, {1, 1, 7, 5, 21, 59, 37, 255, 261, 1, 1401, 1101, 1233, 3813, 22809, 39389, 66263, 191623}},
-{19745, 18, 106403, {1, 3, 1, 7, 5, 51, 73, 85, 319, 671, 1149, 1631, 6021, 10711, 3813, 36485, 106147, 202021}},
-{19746, 18, 106405, {1, 3, 3, 13, 7, 63, 59, 253, 337, 453, 61, 209, 2809, 10429, 28069, 55971, 57985, 244779}},
-{19747, 18, 106406, {1, 1, 1, 9, 27, 59, 45, 101, 427, 713, 1667, 2965, 6161, 1235, 8793, 2387, 66031, 85151}},
-{19748, 18, 106429, {1, 1, 3, 1, 5, 25, 101, 7, 449, 149, 823, 725, 6803, 11949, 13009, 14785, 45633, 241957}},
-{19749, 18, 106447, {1, 3, 7, 15, 29, 45, 103, 151, 159, 23, 1353, 3541, 5909, 4173, 31391, 16179, 38289, 206603}},
-{19750, 18, 106466, {1, 1, 7, 7, 23, 3, 97, 29, 141, 383, 379, 3189, 4399, 4545, 30797, 55827, 126223, 97049}},
-{19751, 18, 106495, {1, 3, 3, 7, 25, 35, 61, 15, 349, 929, 65, 3697, 7637, 12239, 29051, 36001, 114513, 151069}},
-{19752, 18, 106532, {1, 3, 3, 11, 19, 1, 23, 245, 9, 689, 1251, 1043, 2393, 15817, 31561, 21059, 3435, 228091}},
-{19753, 18, 106542, {1, 3, 7, 3, 23, 17, 121, 147, 427, 47, 905, 3877, 2301, 15709, 13599, 48895, 108955, 53219}},
-{19754, 18, 106547, {1, 3, 7, 3, 25, 31, 53, 143, 1, 841, 1691, 749, 6713, 5373, 23487, 25749, 13911, 240923}},
-{19755, 18, 106564, {1, 3, 5, 3, 7, 39, 101, 83, 159, 187, 583, 721, 7745, 1119, 61, 27319, 35157, 241729}},
-{19756, 18, 106576, {1, 1, 5, 11, 27, 21, 79, 199, 179, 463, 987, 3909, 1741, 503, 12339, 15323, 4063, 180337}},
-{19757, 18, 106586, {1, 3, 7, 11, 23, 43, 7, 115, 489, 215, 209, 3213, 4057, 13221, 27061, 52037, 34921, 36385}},
-{19758, 18, 106592, {1, 1, 7, 1, 15, 13, 113, 55, 207, 839, 1939, 4095, 5629, 7647, 12753, 59739, 60779, 196589}},
-{19759, 18, 106597, {1, 1, 1, 5, 5, 13, 113, 243, 297, 513, 1615, 1513, 1247, 4025, 20901, 44775, 86987, 75437}},
-{19760, 18, 106610, {1, 1, 3, 7, 7, 35, 77, 115, 223, 929, 1683, 949, 2191, 15533, 29471, 24103, 102475, 173027}},
-{19761, 18, 106612, {1, 3, 1, 11, 23, 37, 7, 179, 287, 267, 319, 3147, 1481, 12297, 28185, 51423, 7505, 236225}},
-{19762, 18, 106635, {1, 1, 3, 5, 27, 5, 71, 95, 289, 121, 939, 3543, 365, 4903, 10091, 3903, 111155, 83517}},
-{19763, 18, 106640, {1, 1, 7, 9, 29, 3, 87, 245, 313, 973, 1181, 3389, 3697, 13237, 13703, 31557, 17269, 17329}},
-{19764, 18, 106673, {1, 1, 5, 11, 5, 41, 117, 51, 239, 907, 809, 741, 5327, 3403, 11825, 46981, 93485, 38053}},
-{19765, 18, 106691, {1, 1, 7, 1, 25, 41, 5, 169, 11, 599, 1451, 2189, 7255, 8441, 11169, 58313, 4387, 69}},
-{19766, 18, 106724, {1, 3, 1, 13, 5, 21, 75, 229, 153, 355, 1511, 175, 4793, 12111, 25321, 39983, 84205, 195003}},
-{19767, 18, 106731, {1, 1, 7, 1, 17, 61, 67, 181, 69, 149, 921, 1107, 6319, 431, 29481, 12507, 13109, 29527}},
-{19768, 18, 106741, {1, 1, 5, 5, 27, 47, 69, 119, 469, 193, 513, 1573, 7421, 2723, 20997, 59585, 49645, 261259}},
-{19769, 18, 106748, {1, 1, 3, 9, 27, 41, 41, 3, 181, 803, 1281, 2937, 6745, 5629, 8403, 18987, 98411, 128321}},
-{19770, 18, 106765, {1, 3, 3, 9, 5, 29, 55, 223, 309, 841, 1049, 1163, 3497, 8935, 8529, 51367, 90693, 77463}},
-{19771, 18, 106789, {1, 3, 5, 3, 3, 59, 23, 31, 309, 907, 107, 3471, 4365, 14463, 24093, 35435, 24587, 151163}},
-{19772, 18, 106822, {1, 3, 3, 1, 11, 37, 99, 95, 485, 601, 1797, 891, 5645, 8927, 22085, 5185, 18495, 260455}},
-{19773, 18, 106856, {1, 3, 7, 15, 31, 61, 5, 177, 159, 287, 311, 1377, 1419, 4387, 25297, 22505, 100937, 223785}},
-{19774, 18, 106861, {1, 3, 3, 3, 27, 31, 45, 171, 95, 507, 1475, 4013, 2781, 133, 6857, 3367, 103455, 69559}},
-{19775, 18, 106870, {1, 3, 3, 7, 9, 51, 47, 247, 213, 665, 1929, 2799, 5513, 9183, 20197, 14831, 75277, 187565}},
-{19776, 18, 106883, {1, 3, 1, 9, 13, 11, 15, 253, 145, 31, 847, 1579, 5513, 9, 3327, 46049, 16709, 56353}},
-{19777, 18, 106895, {1, 3, 3, 3, 9, 17, 59, 131, 3, 621, 1209, 3415, 2999, 127, 629, 7925, 6109, 59743}},
-{19778, 18, 106928, {1, 1, 5, 15, 29, 35, 87, 197, 495, 671, 51, 293, 3943, 7969, 4739, 10161, 119943, 97217}},
-{19779, 18, 106938, {1, 1, 1, 9, 25, 57, 61, 197, 139, 899, 783, 3835, 3407, 16301, 19033, 33359, 56309, 16237}},
-{19780, 18, 106979, {1, 1, 5, 11, 25, 47, 95, 121, 197, 511, 227, 2281, 5805, 10581, 14885, 19685, 28075, 25431}},
-{19781, 18, 106985, {1, 1, 3, 9, 1, 43, 59, 105, 319, 45, 1567, 905, 7641, 2199, 3979, 13717, 22829, 44777}},
-{19782, 18, 107005, {1, 3, 7, 1, 19, 49, 105, 53, 227, 293, 989, 697, 2553, 4561, 14851, 8999, 74815, 207475}},
-{19783, 18, 107012, {1, 1, 5, 11, 23, 3, 85, 29, 419, 847, 1385, 3857, 641, 14951, 25629, 18019, 2497, 24723}},
-{19784, 18, 107019, {1, 3, 5, 15, 5, 11, 51, 225, 179, 695, 787, 663, 7051, 3595, 4987, 53315, 88693, 7915}},
-{19785, 18, 107045, {1, 3, 1, 13, 17, 51, 51, 247, 431, 555, 603, 3301, 443, 629, 26509, 32047, 54433, 208297}},
-{19786, 18, 107052, {1, 3, 7, 7, 13, 41, 95, 105, 135, 443, 377, 1259, 3301, 6945, 11677, 33869, 107799, 186567}},
-{19787, 18, 107082, {1, 1, 5, 7, 31, 17, 85, 129, 409, 781, 983, 25, 6877, 83, 12625, 31919, 41989, 55195}},
-{19788, 18, 107089, {1, 1, 3, 3, 7, 45, 37, 45, 237, 967, 1371, 657, 7983, 3121, 32707, 25757, 49987, 92683}},
-{19789, 18, 107118, {1, 3, 1, 1, 19, 57, 63, 25, 355, 893, 2017, 1671, 7343, 4451, 28243, 22157, 103901, 178017}},
-{19790, 18, 107163, {1, 3, 7, 13, 17, 59, 81, 99, 329, 117, 1395, 2565, 5725, 2371, 343, 4713, 35077, 49793}},
-{19791, 18, 107202, {1, 3, 7, 15, 31, 19, 87, 243, 411, 339, 1063, 117, 1827, 1583, 12571, 23153, 3363, 81695}},
-{19792, 18, 107238, {1, 3, 7, 1, 3, 49, 95, 133, 295, 433, 1885, 843, 6679, 13673, 32277, 59085, 46957, 217037}},
-{19793, 18, 107242, {1, 1, 3, 9, 23, 53, 45, 183, 79, 55, 1267, 283, 3249, 4101, 8107, 54473, 126141, 127235}},
-{19794, 18, 107244, {1, 3, 5, 7, 19, 57, 113, 205, 37, 817, 929, 3643, 2231, 15725, 1733, 7877, 116741, 254529}},
-{19795, 18, 107264, {1, 3, 1, 9, 9, 7, 75, 45, 83, 203, 1401, 445, 1043, 239, 30865, 32189, 91081, 180681}},
-{19796, 18, 107273, {1, 1, 7, 7, 1, 3, 61, 255, 483, 599, 897, 1601, 5189, 13279, 4981, 37235, 117505, 66625}},
-{19797, 18, 107291, {1, 1, 3, 13, 29, 43, 65, 73, 213, 307, 959, 2735, 5155, 16063, 15745, 6225, 50159, 182445}},
-{19798, 18, 107293, {1, 1, 3, 9, 31, 61, 73, 185, 457, 687, 1887, 4041, 3455, 4739, 16399, 40929, 32631, 179031}},
-{19799, 18, 107312, {1, 3, 3, 15, 5, 45, 1, 241, 187, 23, 63, 2497, 7759, 9175, 11003, 40579, 45769, 107133}},
-{19800, 18, 107318, {1, 3, 3, 7, 5, 63, 7, 67, 31, 917, 1825, 2037, 2527, 9767, 2665, 18573, 14289, 21583}},
-{19801, 18, 107335, {1, 1, 5, 15, 15, 25, 51, 127, 261, 925, 1651, 769, 7779, 7327, 7239, 20437, 9947, 144697}},
-{19802, 18, 107349, {1, 1, 5, 1, 5, 13, 99, 7, 269, 135, 345, 1851, 7963, 457, 24573, 32529, 127359, 157755}},
-{19803, 18, 107350, {1, 3, 5, 15, 21, 17, 31, 115, 321, 351, 117, 1301, 2455, 3363, 14213, 62903, 75273, 261119}},
-{19804, 18, 107363, {1, 3, 7, 1, 1, 9, 53, 209, 319, 489, 827, 1365, 4709, 7419, 28213, 56095, 9611, 234877}},
-{19805, 18, 107390, {1, 1, 5, 5, 1, 7, 49, 15, 377, 309, 1701, 1775, 5571, 12437, 27521, 54753, 68977, 138549}},
-{19806, 18, 107405, {1, 1, 3, 11, 9, 29, 67, 21, 411, 647, 983, 1075, 2387, 13355, 1781, 56129, 87235, 260133}},
-{19807, 18, 107408, {1, 3, 1, 11, 5, 57, 71, 159, 345, 853, 745, 3733, 1607, 7265, 20097, 18911, 101141, 70495}},
-{19808, 18, 107427, {1, 1, 3, 9, 1, 43, 127, 127, 471, 465, 1777, 1879, 4655, 12925, 24935, 58445, 78303, 200463}},
-{19809, 18, 107433, {1, 1, 1, 15, 5, 33, 63, 17, 401, 831, 1559, 3547, 7869, 13901, 18185, 9399, 65859, 185315}},
-{19810, 18, 107444, {1, 3, 7, 1, 25, 21, 17, 175, 401, 833, 847, 3593, 1283, 14745, 11827, 1987, 89299, 187369}},
-{19811, 18, 107514, {1, 1, 7, 13, 29, 31, 45, 219, 177, 369, 1313, 3015, 5859, 1829, 8793, 49109, 97581, 233179}},
-{19812, 18, 107522, {1, 3, 3, 15, 17, 31, 61, 215, 231, 495, 1307, 3067, 3187, 8813, 22505, 14055, 30773, 177955}},
-{19813, 18, 107545, {1, 3, 7, 15, 9, 61, 57, 105, 89, 267, 233, 905, 3727, 1841, 31875, 32499, 27003, 208491}},
-{19814, 18, 107582, {1, 3, 1, 11, 31, 9, 63, 55, 213, 209, 1625, 2635, 4335, 15201, 6127, 11097, 37991, 62813}},
-{19815, 18, 107590, {1, 1, 1, 5, 13, 49, 127, 249, 339, 525, 1943, 2935, 3255, 5199, 6869, 6325, 731, 51085}},
-{19816, 18, 107593, {1, 1, 5, 7, 7, 29, 59, 187, 463, 409, 1321, 377, 7361, 8303, 20385, 39649, 81379, 235555}},
-{19817, 18, 107599, {1, 1, 5, 13, 15, 45, 99, 57, 217, 535, 1747, 4081, 4781, 1005, 25197, 23853, 90587, 189579}},
-{19818, 18, 107604, {1, 1, 7, 7, 23, 31, 1, 151, 339, 447, 523, 2609, 5917, 6965, 25815, 62797, 104083, 245917}},
-{19819, 18, 107608, {1, 3, 5, 3, 7, 37, 79, 253, 423, 511, 1477, 3121, 5557, 1413, 31075, 22249, 117639, 243543}},
-{19820, 18, 107627, {1, 1, 3, 7, 5, 31, 93, 117, 135, 235, 745, 3287, 4451, 2487, 15179, 62229, 18247, 150277}},
-{19821, 18, 107638, {1, 1, 7, 15, 31, 57, 125, 219, 433, 629, 1809, 2499, 6083, 7631, 31495, 63183, 28533, 120579}},
-{19822, 18, 107666, {1, 1, 1, 13, 31, 47, 77, 73, 343, 867, 1055, 1121, 3035, 15693, 6971, 50231, 16527, 190795}},
-{19823, 18, 107678, {1, 3, 7, 7, 11, 1, 5, 215, 87, 885, 1429, 1277, 3831, 9341, 22011, 34585, 56167, 65301}},
-{19824, 18, 107701, {1, 3, 1, 15, 13, 53, 91, 59, 277, 819, 453, 3191, 757, 4729, 20605, 4283, 110745, 233655}},
-{19825, 18, 107720, {1, 3, 3, 5, 17, 47, 69, 117, 113, 775, 935, 1879, 2239, 5877, 18337, 50895, 44891, 2759}},
-{19826, 18, 107723, {1, 3, 5, 1, 27, 31, 77, 65, 355, 405, 825, 2419, 3337, 10179, 27665, 35459, 13721, 154227}},
-{19827, 18, 107725, {1, 3, 3, 7, 23, 61, 9, 241, 239, 85, 485, 2659, 5371, 16175, 28691, 49109, 124433, 167033}},
-{19828, 18, 107731, {1, 3, 3, 3, 11, 57, 37, 155, 443, 249, 1913, 1347, 6569, 5357, 4231, 58273, 50707, 57097}},
-{19829, 18, 107737, {1, 1, 3, 3, 1, 7, 87, 115, 259, 807, 45, 2997, 63, 16313, 12507, 39925, 17699, 24411}},
-{19830, 18, 107767, {1, 3, 3, 1, 19, 59, 97, 209, 247, 395, 21, 1803, 2547, 11607, 15703, 58099, 111907, 196101}},
-{19831, 18, 107779, {1, 1, 7, 13, 27, 61, 73, 183, 493, 953, 445, 567, 7373, 15275, 30081, 539, 89365, 3455}},
-{19832, 18, 107788, {1, 3, 1, 3, 25, 35, 3, 105, 243, 781, 1937, 2781, 7849, 2159, 2221, 58005, 89313, 182183}},
-{19833, 18, 107799, {1, 1, 7, 15, 21, 7, 67, 163, 179, 453, 581, 2245, 3915, 8985, 16809, 35113, 93605, 79009}},
-{19834, 18, 107819, {1, 1, 7, 5, 29, 57, 13, 75, 387, 511, 331, 1119, 307, 6145, 3841, 49987, 67335, 120419}},
-{19835, 18, 107833, {1, 3, 1, 5, 13, 21, 119, 207, 453, 943, 137, 2245, 7771, 5737, 9541, 29209, 106867, 110513}},
-{19836, 18, 107881, {1, 3, 7, 13, 7, 3, 99, 129, 245, 687, 883, 1321, 1131, 6661, 7437, 1345, 128247, 167877}},
-{19837, 18, 107901, {1, 1, 3, 11, 7, 57, 59, 3, 217, 549, 85, 2607, 215, 2249, 3963, 42931, 33747, 226265}},
-{19838, 18, 107911, {1, 1, 5, 5, 29, 23, 115, 215, 103, 427, 1689, 831, 3293, 14055, 3735, 49521, 17703, 182887}},
-{19839, 18, 107930, {1, 1, 1, 15, 5, 43, 27, 181, 217, 955, 225, 2731, 7347, 14123, 26169, 4371, 26907, 15017}},
-{19840, 18, 107936, {1, 1, 7, 7, 31, 55, 63, 223, 61, 63, 431, 2779, 3169, 14323, 2945, 63913, 85407, 76511}},
-{19841, 18, 107980, {1, 1, 3, 11, 5, 27, 113, 75, 313, 697, 13, 1853, 7467, 5701, 16749, 17939, 13475, 39807}},
-{19842, 18, 108004, {1, 1, 7, 5, 13, 53, 55, 115, 125, 341, 321, 3291, 2675, 13659, 16819, 45397, 42917, 104361}},
-{19843, 18, 108008, {1, 3, 3, 15, 27, 47, 19, 213, 441, 605, 593, 2287, 4847, 10505, 22185, 36157, 10881, 87799}},
-{19844, 18, 108016, {1, 1, 1, 11, 15, 39, 109, 3, 469, 371, 1743, 2789, 199, 8703, 7407, 3353, 103417, 73319}},
-{19845, 18, 108066, {1, 3, 7, 5, 25, 61, 77, 111, 263, 399, 1579, 3447, 6205, 5945, 28099, 39183, 77003, 115001}},
-{19846, 18, 108071, {1, 1, 1, 3, 1, 7, 57, 193, 379, 923, 151, 2227, 7285, 2371, 24567, 34037, 80655, 125499}},
-{19847, 18, 108107, {1, 3, 5, 7, 13, 15, 5, 193, 55, 319, 1851, 2439, 8071, 5329, 3155, 64669, 18547, 238997}},
-{19848, 18, 108110, {1, 3, 3, 11, 7, 23, 1, 203, 333, 951, 153, 1249, 5093, 407, 361, 14175, 45149, 186291}},
-{19849, 18, 108124, {1, 3, 1, 11, 13, 19, 89, 229, 139, 981, 455, 907, 5109, 8513, 23823, 54933, 69985, 227679}},
-{19850, 18, 108145, {1, 3, 5, 13, 23, 47, 65, 123, 115, 759, 375, 1283, 729, 11045, 22015, 18287, 112603, 75911}},
-{19851, 18, 108148, {1, 1, 3, 1, 5, 43, 91, 123, 219, 409, 517, 3999, 1409, 5949, 15727, 62705, 73573, 198447}},
-{19852, 18, 108158, {1, 3, 3, 3, 5, 23, 95, 51, 275, 455, 1831, 2427, 3779, 10209, 30839, 23393, 25681, 8715}},
-{19853, 18, 108164, {1, 3, 5, 3, 9, 5, 61, 97, 497, 397, 695, 517, 3313, 4911, 1961, 45805, 99135, 216657}},
-{19854, 18, 108197, {1, 1, 1, 7, 13, 41, 19, 31, 103, 1005, 73, 1855, 405, 12395, 19979, 17663, 105183, 28493}},
-{19855, 18, 108198, {1, 3, 1, 11, 27, 27, 69, 149, 1, 225, 1809, 1367, 3663, 6545, 8475, 40837, 64459, 66705}},
-{19856, 18, 108219, {1, 3, 3, 1, 29, 21, 113, 149, 215, 443, 1069, 3437, 1793, 13573, 28285, 33707, 29127, 40715}},
-{19857, 18, 108222, {1, 3, 3, 5, 21, 9, 53, 181, 455, 283, 245, 3999, 875, 9799, 10963, 31603, 34907, 64977}},
-{19858, 18, 108224, {1, 3, 1, 11, 31, 51, 29, 103, 61, 529, 777, 1097, 445, 9169, 6305, 4513, 60189, 164103}},
-{19859, 18, 108227, {1, 1, 1, 3, 21, 5, 87, 11, 461, 637, 1283, 1471, 1429, 2401, 12163, 29401, 30089, 41745}},
-{19860, 18, 108290, {1, 1, 3, 3, 17, 43, 13, 153, 73, 419, 747, 279, 7195, 4383, 26345, 28365, 97753, 208989}},
-{19861, 18, 108302, {1, 3, 7, 1, 17, 55, 103, 151, 327, 575, 1923, 1533, 4699, 2171, 15447, 64047, 59007, 54523}},
-{19862, 18, 108329, {1, 3, 7, 7, 3, 51, 79, 39, 403, 599, 161, 2465, 4911, 10327, 23599, 3267, 44177, 184231}},
-{19863, 18, 108335, {1, 3, 3, 15, 5, 19, 57, 83, 507, 927, 665, 3471, 5037, 2051, 22923, 36813, 97393, 102715}},
-{19864, 18, 108338, {1, 3, 3, 13, 11, 19, 91, 179, 113, 295, 855, 2071, 3265, 4089, 8627, 7461, 23855, 53675}},
-{19865, 18, 108362, {1, 1, 3, 5, 21, 41, 11, 227, 87, 417, 209, 2013, 4849, 5291, 22073, 40235, 71283, 140785}},
-{19866, 18, 108398, {1, 3, 3, 5, 29, 57, 95, 65, 177, 177, 1973, 563, 5249, 337, 7611, 45099, 15443, 46583}},
-{19867, 18, 108405, {1, 1, 7, 3, 3, 5, 107, 75, 31, 293, 821, 1837, 2363, 13621, 8793, 29841, 127201, 131707}},
-{19868, 18, 108409, {1, 1, 1, 5, 1, 45, 69, 61, 157, 999, 183, 3431, 3487, 9461, 17545, 26973, 115527, 58419}},
-{19869, 18, 108431, {1, 1, 7, 7, 27, 5, 125, 153, 191, 745, 125, 2807, 5043, 10657, 24487, 19517, 31735, 42421}},
-{19870, 18, 108449, {1, 1, 7, 9, 25, 37, 73, 255, 141, 229, 1723, 1331, 6089, 13109, 30683, 2335, 111517, 105411}},
-{19871, 18, 108474, {1, 1, 5, 7, 3, 61, 79, 203, 423, 669, 1757, 1725, 4239, 7013, 28591, 61853, 81103, 39813}},
-{19872, 18, 108488, {1, 1, 3, 7, 21, 27, 23, 119, 441, 113, 1019, 285, 53, 8643, 31689, 2629, 126573, 60835}},
-{19873, 18, 108530, {1, 1, 5, 11, 29, 49, 23, 55, 441, 809, 1177, 1371, 5945, 6461, 11537, 12287, 85637, 232065}},
-{19874, 18, 108545, {1, 3, 1, 15, 5, 13, 19, 209, 105, 897, 565, 3209, 487, 9837, 22169, 26317, 39907, 185193}},
-{19875, 18, 108551, {1, 1, 1, 5, 23, 45, 49, 55, 501, 213, 1217, 3159, 733, 5889, 5475, 4953, 37317, 100369}},
-{19876, 18, 108558, {1, 1, 5, 1, 19, 5, 57, 137, 361, 605, 1077, 2015, 5511, 4667, 18457, 45979, 120253, 203397}},
-{19877, 18, 108585, {1, 1, 7, 9, 19, 19, 11, 187, 5, 647, 275, 1265, 7587, 16183, 369, 31885, 58347, 36829}},
-{19878, 18, 108613, {1, 3, 5, 3, 31, 31, 7, 105, 359, 839, 641, 3215, 4807, 13397, 885, 52867, 57125, 180607}},
-{19879, 18, 108638, {1, 1, 7, 9, 19, 45, 43, 211, 429, 757, 1637, 1569, 935, 8899, 24823, 18599, 111373, 190979}},
-{19880, 18, 108642, {1, 1, 7, 7, 13, 47, 3, 241, 467, 209, 323, 3467, 4397, 15395, 15373, 14499, 92443, 65931}},
-{19881, 18, 108653, {1, 3, 3, 5, 5, 9, 67, 115, 45, 279, 1753, 1575, 8127, 9651, 5169, 25643, 29671, 214383}},
-{19882, 18, 108671, {1, 3, 7, 7, 29, 7, 37, 205, 495, 445, 1771, 1439, 3577, 10423, 10865, 26851, 15251, 63373}},
-{19883, 18, 108675, {1, 3, 1, 9, 29, 13, 45, 61, 153, 193, 1407, 1075, 4023, 2367, 1147, 51277, 52975, 123061}},
-{19884, 18, 108684, {1, 3, 3, 3, 31, 25, 113, 173, 345, 565, 145, 3437, 7051, 12557, 27919, 41733, 76717, 192645}},
-{19885, 18, 108687, {1, 3, 3, 7, 3, 55, 35, 219, 55, 467, 635, 3833, 3753, 1099, 15301, 53121, 120807, 70481}},
-{19886, 18, 108696, {1, 3, 7, 7, 13, 1, 121, 191, 71, 193, 1891, 2303, 1401, 9143, 31297, 38979, 43093, 138941}},
-{19887, 18, 108786, {1, 3, 7, 5, 17, 51, 83, 201, 231, 423, 511, 1301, 6075, 475, 2603, 49327, 78565, 220827}},
-{19888, 18, 108792, {1, 3, 1, 7, 5, 61, 23, 11, 9, 711, 251, 1383, 613, 6213, 8921, 27267, 66009, 28575}},
-{19889, 18, 108795, {1, 3, 1, 3, 13, 13, 61, 211, 353, 883, 343, 1089, 2041, 7781, 25285, 9053, 76801, 153009}},
-{19890, 18, 108818, {1, 3, 7, 5, 17, 61, 67, 69, 361, 937, 949, 1483, 2825, 3753, 16533, 17277, 16539, 140521}},
-{19891, 18, 108830, {1, 3, 5, 9, 7, 19, 31, 239, 357, 561, 1583, 3059, 2023, 2213, 11283, 18603, 83487, 162415}},
-{19892, 18, 108836, {1, 1, 3, 15, 15, 59, 9, 43, 353, 203, 765, 1907, 2733, 3747, 30617, 32671, 119005, 72131}},
-{19893, 18, 108839, {1, 3, 1, 7, 17, 61, 55, 113, 439, 75, 703, 2741, 1059, 4561, 15923, 17153, 32563, 79681}},
-{19894, 18, 108851, {1, 1, 1, 15, 11, 57, 91, 245, 187, 185, 1859, 1209, 3247, 10863, 22421, 47287, 26831, 200935}},
-{19895, 18, 108875, {1, 1, 3, 13, 11, 39, 61, 211, 51, 197, 861, 2965, 4691, 9955, 2289, 28795, 61537, 235359}},
-{19896, 18, 108883, {1, 1, 7, 1, 31, 37, 121, 107, 79, 521, 371, 983, 6189, 4515, 25691, 26933, 123189, 70033}},
-{19897, 18, 108895, {1, 3, 3, 15, 19, 33, 31, 237, 35, 877, 1013, 3445, 573, 1145, 27781, 26327, 117451, 142339}},
-{19898, 18, 108908, {1, 3, 3, 15, 15, 9, 17, 185, 151, 499, 493, 1331, 1587, 12657, 22577, 7957, 126253, 57971}},
-{19899, 18, 108953, {1, 3, 7, 15, 3, 29, 43, 105, 423, 601, 793, 1011, 6657, 7287, 18561, 46993, 72945, 233051}},
-{19900, 18, 108956, {1, 1, 7, 5, 15, 17, 125, 141, 75, 877, 281, 2011, 4217, 9785, 7587, 42863, 35585, 212795}},
-{19901, 18, 108963, {1, 1, 3, 3, 3, 37, 67, 129, 433, 233, 115, 687, 6253, 12805, 10935, 49963, 91675, 241951}},
-{19902, 18, 108989, {1, 3, 1, 5, 3, 41, 3, 233, 317, 959, 1407, 1251, 743, 4165, 15561, 41165, 22393, 111633}},
-{19903, 18, 109001, {1, 3, 3, 15, 17, 15, 53, 245, 109, 413, 1149, 35, 2931, 11635, 27091, 63659, 33973, 16867}},
-{19904, 18, 109009, {1, 3, 7, 13, 3, 43, 83, 201, 367, 275, 235, 1795, 4041, 13539, 22345, 31451, 83985, 3527}},
-{19905, 18, 109052, {1, 3, 3, 9, 31, 47, 63, 117, 195, 497, 453, 1183, 3857, 14075, 28057, 13205, 54331, 54641}},
-{19906, 18, 109083, {1, 1, 7, 11, 11, 39, 37, 183, 213, 537, 1371, 901, 5255, 11791, 18993, 58785, 114113, 229815}},
-{19907, 18, 109090, {1, 3, 5, 5, 13, 45, 77, 165, 329, 439, 2011, 1845, 4577, 12457, 16959, 45943, 37715, 169775}},
-{19908, 18, 109104, {1, 1, 3, 11, 5, 7, 21, 245, 365, 371, 1291, 2569, 1791, 6003, 18619, 18661, 98551, 89645}},
-{19909, 18, 109121, {1, 3, 1, 7, 3, 51, 49, 245, 151, 919, 489, 3967, 3157, 7159, 17207, 19749, 94455, 112403}},
-{19910, 18, 109128, {1, 3, 7, 5, 9, 15, 17, 201, 273, 669, 1571, 3915, 1859, 2569, 28855, 27225, 116711, 148377}},
-{19911, 18, 109141, {1, 3, 7, 3, 19, 45, 115, 71, 201, 85, 1349, 3897, 4941, 10839, 14781, 36487, 107037, 109185}},
-{19912, 18, 109146, {1, 3, 5, 13, 11, 11, 35, 19, 213, 41, 45, 4075, 3163, 12937, 17487, 28911, 21289, 198489}},
-{19913, 18, 109155, {1, 1, 1, 11, 7, 35, 67, 23, 451, 235, 717, 181, 6697, 9359, 24561, 36187, 125179, 35119}},
-{19914, 18, 109162, {1, 1, 7, 15, 7, 47, 55, 125, 465, 251, 211, 3137, 4101, 1341, 2287, 22149, 45089, 94173}},
-{19915, 18, 109209, {1, 3, 1, 15, 19, 7, 15, 207, 7, 759, 869, 2337, 6805, 8287, 13447, 9963, 7177, 173505}},
-{19916, 18, 109216, {1, 3, 7, 13, 15, 3, 65, 143, 291, 511, 939, 669, 4095, 1931, 26015, 18253, 102461, 93837}},
-{19917, 18, 109243, {1, 3, 1, 5, 23, 3, 19, 121, 489, 583, 1425, 627, 4229, 5343, 3759, 17845, 105369, 132239}},
-{19918, 18, 109265, {1, 3, 3, 9, 29, 9, 17, 153, 111, 879, 1225, 979, 2687, 10477, 10105, 18091, 37825, 28077}},
-{19919, 18, 109282, {1, 1, 7, 9, 3, 51, 75, 101, 197, 551, 89, 1441, 607, 14025, 30411, 26887, 3435, 32977}},
-{19920, 18, 109306, {1, 1, 7, 3, 25, 29, 95, 123, 197, 767, 1513, 721, 4149, 10873, 32247, 4469, 42297, 49651}},
-{19921, 18, 109316, {1, 3, 5, 15, 11, 3, 77, 161, 309, 923, 513, 161, 6447, 9811, 9209, 21413, 8611, 237557}},
-{19922, 18, 109334, {1, 3, 1, 3, 23, 11, 61, 107, 317, 771, 1469, 3367, 6607, 11495, 12271, 59989, 52483, 194761}},
-{19923, 18, 109359, {1, 3, 7, 7, 23, 1, 37, 47, 185, 863, 1153, 3517, 6165, 3921, 19311, 37339, 112477, 204915}},
-{19924, 18, 109373, {1, 3, 7, 7, 15, 61, 9, 113, 175, 305, 1759, 2933, 2139, 3591, 15303, 54479, 126511, 255205}},
-{19925, 18, 109386, {1, 1, 1, 3, 29, 43, 19, 183, 121, 577, 1329, 1737, 4373, 5577, 24023, 40103, 22333, 123423}},
-{19926, 18, 109394, {1, 3, 5, 1, 29, 1, 5, 177, 271, 431, 139, 705, 4319, 9301, 15887, 13253, 13275, 233317}},
-{19927, 18, 109403, {1, 1, 3, 7, 21, 3, 13, 51, 459, 359, 1721, 193, 4887, 7805, 20615, 28813, 82427, 57853}},
-{19928, 18, 109409, {1, 3, 3, 13, 3, 29, 43, 95, 339, 993, 979, 2323, 7505, 10203, 9475, 16513, 21651, 104871}},
-{19929, 18, 109412, {1, 1, 3, 15, 11, 5, 97, 127, 397, 25, 507, 1839, 2313, 13399, 899, 25713, 94363, 178287}},
-{19930, 18, 109427, {1, 1, 5, 5, 9, 53, 95, 171, 107, 129, 1041, 3583, 5479, 943, 21435, 36481, 85519, 169651}},
-{19931, 18, 109439, {1, 1, 1, 1, 1, 11, 17, 249, 277, 805, 1827, 2705, 3015, 9033, 25019, 38593, 59235, 21145}},
-{19932, 18, 109464, {1, 1, 7, 3, 7, 59, 107, 213, 109, 213, 555, 3463, 953, 3173, 18947, 2863, 27889, 32493}},
-{19933, 18, 109467, {1, 3, 5, 15, 21, 11, 99, 131, 287, 513, 1393, 3327, 7347, 4343, 8805, 29571, 97151, 97313}},
-{19934, 18, 109476, {1, 3, 5, 3, 17, 53, 23, 21, 227, 291, 111, 1951, 6593, 16325, 31725, 31997, 116907, 181027}},
-{19935, 18, 109488, {1, 1, 5, 3, 15, 57, 93, 153, 345, 257, 169, 795, 3907, 5669, 25447, 28775, 1489, 216417}},
-{19936, 18, 109497, {1, 1, 1, 5, 19, 19, 113, 55, 431, 685, 1839, 711, 4909, 10211, 25765, 37, 72657, 79769}},
-{19937, 18, 109523, {1, 3, 5, 7, 19, 17, 93, 145, 99, 799, 1615, 1583, 7705, 1069, 30259, 37951, 78965, 16203}},
-{19938, 18, 109551, {1, 3, 7, 13, 23, 61, 119, 49, 413, 1021, 415, 465, 7395, 31, 16415, 1009, 9843, 86531}},
-{19939, 18, 109556, {1, 1, 3, 15, 17, 21, 83, 69, 411, 1, 269, 1391, 295, 13649, 21649, 62453, 11457, 215375}},
-{19940, 18, 109566, {1, 3, 3, 7, 25, 53, 95, 99, 447, 323, 27, 1595, 3771, 16099, 31523, 14405, 66999, 65733}},
-{19941, 18, 109598, {1, 1, 3, 11, 25, 29, 19, 95, 101, 661, 537, 641, 1455, 16151, 29087, 54009, 89395, 2223}},
-{19942, 18, 109628, {1, 1, 1, 11, 11, 33, 91, 227, 449, 661, 1621, 1743, 2859, 9797, 32397, 41767, 116325, 6839}},
-{19943, 18, 109643, {1, 3, 3, 7, 31, 41, 15, 139, 53, 789, 25, 67, 1131, 5987, 14091, 37259, 70313, 6633}},
-{19944, 18, 109663, {1, 3, 7, 13, 21, 29, 71, 245, 497, 493, 207, 3221, 3695, 3045, 1497, 29235, 65113, 82015}},
-{19945, 18, 109674, {1, 1, 7, 5, 29, 29, 87, 197, 123, 323, 773, 157, 2925, 9235, 31625, 58187, 121457, 25561}},
-{19946, 18, 109688, {1, 1, 1, 9, 3, 15, 99, 55, 133, 757, 1405, 997, 5201, 8971, 6095, 33309, 35587, 254545}},
-{19947, 18, 109691, {1, 3, 5, 9, 19, 57, 85, 45, 429, 823, 1369, 933, 1971, 13753, 11351, 45805, 16527, 129907}},
-{19948, 18, 109704, {1, 3, 3, 15, 23, 15, 35, 89, 477, 875, 1087, 2837, 1093, 617, 18687, 53269, 63447, 226393}},
-{19949, 18, 109715, {1, 1, 7, 9, 27, 37, 23, 107, 265, 485, 1975, 3159, 4065, 10089, 26975, 45067, 4241, 49051}},
-{19950, 18, 109717, {1, 3, 3, 1, 29, 53, 89, 129, 149, 717, 749, 1481, 7829, 15887, 23185, 30667, 11749, 188963}},
-{19951, 18, 109746, {1, 3, 5, 9, 13, 47, 119, 135, 407, 99, 1773, 2307, 7885, 4013, 25723, 53519, 37487, 205671}},
-{19952, 18, 109789, {1, 1, 5, 1, 11, 27, 121, 213, 147, 669, 799, 485, 4275, 15909, 30583, 45925, 90365, 226901}},
-{19953, 18, 109794, {1, 1, 3, 5, 1, 19, 81, 109, 217, 949, 1637, 3413, 5957, 7293, 17337, 63857, 103815, 80805}},
-{19954, 18, 109868, {1, 3, 7, 3, 9, 43, 119, 251, 345, 3, 203, 829, 3391, 2575, 6859, 50849, 22221, 227581}},
-{19955, 18, 109886, {1, 1, 7, 15, 13, 43, 7, 23, 101, 89, 1747, 1231, 1883, 13363, 10981, 59179, 59555, 242021}},
-{19956, 18, 109888, {1, 1, 5, 5, 23, 15, 93, 183, 231, 891, 1745, 2665, 1689, 8515, 11717, 35643, 113067, 233757}},
-{19957, 18, 109903, {1, 3, 7, 11, 29, 21, 13, 59, 103, 105, 483, 863, 2711, 7917, 29279, 53931, 7011, 60075}},
-{19958, 18, 109908, {1, 1, 3, 15, 5, 37, 101, 163, 31, 575, 2029, 1625, 4545, 12579, 15175, 32667, 59497, 63653}},
-{19959, 18, 109912, {1, 3, 5, 7, 23, 37, 61, 101, 273, 49, 1943, 3381, 491, 4079, 20341, 26463, 122261, 77965}},
-{19960, 18, 109927, {1, 1, 3, 15, 9, 51, 53, 89, 175, 487, 1583, 1797, 4353, 1339, 19613, 26913, 78955, 166523}},
-{19961, 18, 109936, {1, 3, 3, 9, 27, 57, 25, 207, 233, 675, 661, 2629, 6971, 8723, 31199, 47215, 36931, 28347}},
-{19962, 18, 109979, {1, 3, 1, 3, 31, 15, 123, 17, 211, 883, 1861, 2747, 8075, 5373, 23521, 46217, 86629, 171777}},
-{19963, 18, 110005, {1, 3, 5, 9, 11, 43, 45, 171, 465, 835, 603, 2121, 409, 1643, 20327, 63211, 129479, 223113}},
-{19964, 18, 110010, {1, 1, 5, 7, 13, 57, 83, 233, 307, 489, 941, 1723, 6149, 5557, 2053, 17377, 31597, 176051}},
-{19965, 18, 110017, {1, 1, 7, 3, 11, 11, 85, 163, 169, 989, 1289, 2749, 7681, 4679, 645, 36589, 85907, 194713}},
-{19966, 18, 110041, {1, 1, 1, 7, 3, 57, 39, 149, 463, 947, 481, 1163, 7171, 8539, 28991, 61235, 74487, 107051}},
-{19967, 18, 110042, {1, 1, 3, 7, 9, 57, 89, 101, 231, 163, 1355, 1393, 5823, 7565, 26285, 13523, 130329, 26099}},
-{19968, 18, 110047, {1, 1, 7, 15, 13, 59, 111, 35, 265, 927, 125, 1881, 5397, 757, 23845, 9677, 76077, 163361}},
-{19969, 18, 110048, {1, 1, 7, 9, 1, 63, 61, 157, 389, 143, 1445, 881, 3609, 9955, 11159, 59677, 45831, 138345}},
-{19970, 18, 110053, {1, 3, 5, 7, 5, 45, 65, 23, 257, 589, 905, 3651, 743, 117, 30307, 7415, 103331, 252889}},
-{19971, 18, 110054, {1, 1, 7, 13, 3, 57, 113, 91, 217, 967, 481, 989, 4795, 3549, 23717, 60793, 80281, 19977}},
-{19972, 18, 110057, {1, 3, 3, 1, 15, 37, 113, 245, 239, 575, 197, 2803, 7743, 13447, 3601, 56981, 76381, 13321}},
-{19973, 18, 110091, {1, 3, 1, 11, 27, 33, 99, 151, 43, 835, 1951, 1957, 2983, 6781, 9319, 2119, 40533, 118325}},
-{19974, 18, 110093, {1, 3, 3, 7, 27, 19, 23, 243, 347, 477, 1661, 1891, 2439, 2485, 31743, 1427, 20317, 90803}},
-{19975, 18, 110112, {1, 3, 1, 1, 3, 59, 71, 129, 21, 3, 449, 629, 3657, 4045, 8305, 40461, 60927, 38529}},
-{19976, 18, 110127, {1, 3, 3, 7, 9, 11, 85, 185, 369, 451, 887, 3709, 6931, 111, 1379, 8741, 58777, 188045}},
-{19977, 18, 110178, {1, 3, 7, 11, 23, 13, 77, 141, 99, 543, 725, 2439, 6825, 1361, 2785, 5345, 5941, 234751}},
-{19978, 18, 110183, {1, 1, 5, 5, 17, 55, 69, 9, 431, 585, 1049, 165, 1705, 14907, 8655, 12485, 22783, 91195}},
-{19979, 18, 110184, {1, 1, 7, 11, 29, 41, 91, 137, 17, 785, 1151, 2033, 7031, 15077, 2241, 21453, 117947, 128891}},
-{19980, 18, 110195, {1, 1, 1, 11, 17, 53, 113, 195, 409, 275, 1757, 245, 6263, 14785, 29159, 43827, 65027, 248403}},
-{19981, 18, 110307, {1, 3, 3, 3, 5, 15, 23, 41, 261, 891, 1021, 1999, 4883, 9233, 10385, 21953, 50711, 4247}},
-{19982, 18, 110334, {1, 1, 1, 13, 23, 47, 33, 77, 317, 251, 617, 2265, 7549, 327, 2317, 41209, 41063, 120863}},
-{19983, 18, 110336, {1, 1, 7, 11, 15, 17, 25, 105, 253, 713, 1147, 415, 5777, 2215, 4207, 33857, 17001, 260533}},
-{19984, 18, 110354, {1, 1, 1, 11, 31, 45, 3, 25, 329, 45, 1563, 121, 1413, 16229, 32485, 54477, 101025, 64847}},
-{19985, 18, 110356, {1, 3, 5, 1, 15, 59, 113, 203, 481, 545, 371, 1357, 5549, 3043, 397, 61483, 59779, 58159}},
-{19986, 18, 110390, {1, 3, 3, 3, 25, 39, 29, 193, 379, 293, 1173, 3389, 4231, 11519, 6681, 28813, 63609, 13029}},
-{19987, 18, 110419, {1, 3, 1, 1, 27, 57, 37, 249, 441, 905, 463, 3543, 7203, 10075, 5373, 46103, 6685, 146943}},
-{19988, 18, 110452, {1, 3, 5, 7, 31, 51, 21, 139, 209, 219, 1663, 837, 3351, 6291, 735, 8715, 33751, 199485}},
-{19989, 18, 110461, {1, 3, 5, 11, 19, 57, 41, 163, 287, 327, 243, 2891, 1095, 3959, 5067, 2867, 16207, 213089}},
-{19990, 18, 110465, {1, 1, 5, 11, 21, 59, 97, 239, 309, 371, 797, 453, 2595, 4277, 3771, 5665, 10075, 56101}},
-{19991, 18, 110466, {1, 1, 3, 15, 17, 29, 103, 33, 449, 525, 961, 3551, 3611, 14057, 15971, 26981, 35169, 130213}},
-{19992, 18, 110468, {1, 1, 3, 1, 5, 13, 39, 211, 387, 797, 1051, 3287, 3737, 12953, 3387, 35107, 78809, 162907}},
-{19993, 18, 110486, {1, 1, 7, 9, 7, 63, 127, 115, 173, 981, 623, 737, 7625, 12245, 4195, 61873, 104301, 250333}},
-{19994, 18, 110511, {1, 1, 1, 5, 19, 5, 123, 43, 209, 741, 747, 1057, 2683, 15359, 24121, 38413, 5823, 62213}},
-{19995, 18, 110531, {1, 1, 7, 1, 23, 13, 63, 165, 309, 323, 247, 3827, 5451, 4823, 23925, 56957, 69765, 259923}},
-{19996, 18, 110561, {1, 1, 5, 1, 5, 49, 51, 65, 31, 257, 1363, 3031, 5765, 3645, 16383, 6347, 30429, 130557}},
-{19997, 18, 110573, {1, 3, 5, 13, 9, 63, 31, 3, 317, 379, 1345, 2161, 7787, 2055, 21507, 20347, 97021, 183377}},
-{19998, 18, 110593, {1, 3, 5, 11, 15, 59, 13, 139, 415, 821, 639, 1249, 6349, 15861, 21377, 22813, 42839, 76595}},
-{19999, 18, 110611, {1, 1, 7, 9, 23, 11, 25, 115, 393, 153, 1269, 871, 1323, 1891, 11619, 3103, 79813, 39811}},
-{20000, 18, 110614, {1, 3, 1, 15, 27, 37, 63, 253, 1, 855, 1651, 3111, 6693, 1825, 22549, 64189, 18347, 253425}},
-{20001, 18, 110651, {1, 3, 1, 11, 23, 27, 119, 59, 421, 343, 831, 2679, 5899, 12087, 15953, 18601, 109551, 33895}},
-{20002, 18, 110661, {1, 3, 1, 13, 29, 3, 91, 227, 301, 491, 1045, 2105, 5189, 13717, 1095, 6039, 16229, 215687}},
-{20003, 18, 110665, {1, 1, 7, 3, 11, 53, 85, 25, 23, 293, 841, 3569, 5335, 8949, 28665, 15139, 100807, 155587}},
-{20004, 18, 110701, {1, 1, 1, 9, 31, 1, 77, 149, 181, 5, 915, 1155, 4717, 2837, 17545, 3235, 26811, 124901}},
-{20005, 18, 110730, {1, 1, 3, 5, 25, 27, 47, 215, 425, 195, 1575, 3961, 3521, 4197, 9565, 32523, 125091, 165543}},
-{20006, 18, 110735, {1, 3, 7, 3, 17, 57, 7, 137, 507, 303, 1123, 1511, 2465, 4277, 19959, 31951, 83157, 62843}},
-{20007, 18, 110738, {1, 3, 3, 1, 27, 43, 79, 191, 265, 167, 665, 4017, 6613, 1175, 5427, 47139, 91517, 32071}},
-{20008, 18, 110759, {1, 1, 1, 11, 29, 63, 9, 39, 303, 1021, 415, 2157, 5227, 13557, 4931, 12541, 74101, 13189}},
-{20009, 18, 110763, {1, 1, 3, 9, 15, 41, 45, 163, 301, 315, 1433, 1449, 3589, 15783, 16069, 16155, 10527, 69335}},
-{20010, 18, 110768, {1, 3, 1, 1, 1, 5, 75, 169, 215, 115, 939, 1285, 43, 1941, 27847, 5245, 51211, 244817}},
-{20011, 18, 110774, {1, 1, 1, 15, 7, 33, 31, 23, 397, 537, 1415, 329, 6705, 15015, 18883, 62895, 21435, 233075}},
-{20012, 18, 110783, {1, 3, 3, 5, 11, 49, 73, 147, 183, 317, 11, 1997, 1045, 6015, 29159, 55195, 105711, 134727}},
-{20013, 18, 110785, {1, 3, 3, 9, 21, 41, 5, 213, 421, 539, 1269, 1929, 3701, 2165, 14997, 21933, 58167, 239719}},
-{20014, 18, 110809, {1, 3, 1, 5, 23, 63, 37, 27, 21, 547, 1499, 1621, 141, 5309, 32257, 47241, 123617, 243853}},
-{20015, 18, 110812, {1, 1, 1, 13, 31, 45, 47, 91, 165, 1007, 1295, 4035, 1461, 10423, 7747, 7329, 114599, 169375}},
-{20016, 18, 110840, {1, 1, 5, 3, 21, 9, 75, 61, 35, 745, 31, 4085, 3645, 16239, 14979, 15725, 108859, 56745}},
-{20017, 18, 110853, {1, 1, 5, 15, 11, 31, 13, 229, 417, 147, 1993, 4043, 7757, 13507, 15297, 56119, 2223, 142275}},
-{20018, 18, 110905, {1, 3, 5, 13, 3, 57, 45, 109, 135, 829, 159, 769, 865, 2583, 15755, 44343, 84561, 98621}},
-{20019, 18, 110933, {1, 1, 7, 11, 17, 11, 115, 45, 371, 411, 863, 2139, 3897, 13981, 16771, 4587, 25195, 66077}},
-{20020, 18, 110961, {1, 3, 7, 15, 17, 47, 51, 133, 133, 475, 1363, 3325, 4287, 4837, 22077, 60225, 3097, 246805}},
-{20021, 18, 110962, {1, 3, 5, 9, 29, 51, 127, 125, 353, 519, 129, 1409, 1497, 3167, 14163, 24921, 81343, 129835}},
-{20022, 18, 110974, {1, 3, 5, 5, 19, 39, 95, 109, 229, 1015, 367, 2373, 709, 6169, 4089, 13533, 22399, 118977}},
-{20023, 18, 110987, {1, 1, 5, 5, 17, 21, 91, 131, 309, 739, 1373, 3723, 6659, 1119, 27521, 55589, 34967, 70831}},
-{20024, 18, 110989, {1, 3, 1, 11, 5, 7, 85, 215, 425, 947, 589, 375, 5943, 13399, 18307, 27007, 18919, 200617}},
-{20025, 18, 111007, {1, 1, 3, 15, 11, 37, 111, 179, 259, 517, 1679, 225, 3493, 15025, 21751, 40687, 73001, 214477}},
-{20026, 18, 111011, {1, 1, 7, 15, 17, 41, 109, 129, 427, 847, 1965, 3269, 5871, 12331, 26899, 49791, 103471, 213789}},
-{20027, 18, 111043, {1, 3, 3, 3, 9, 41, 25, 115, 95, 737, 717, 1545, 841, 14923, 7409, 45365, 100139, 77787}},
-{20028, 18, 111070, {1, 1, 3, 15, 11, 3, 63, 23, 425, 433, 537, 1599, 2691, 11271, 1695, 40579, 53507, 73033}},
-{20029, 18, 111088, {1, 3, 7, 13, 9, 21, 85, 31, 337, 583, 1883, 3877, 7197, 7715, 21525, 53273, 11263, 41907}},
-{20030, 18, 111127, {1, 3, 7, 1, 7, 53, 61, 45, 299, 885, 1391, 3109, 6851, 6079, 18857, 44537, 95713, 146125}},
-{20031, 18, 111140, {1, 1, 1, 3, 21, 49, 95, 105, 419, 315, 365, 3035, 4169, 5723, 26921, 62809, 27019, 243965}},
-{20032, 18, 111149, {1, 1, 3, 5, 11, 39, 71, 89, 249, 11, 1395, 105, 6637, 4577, 22979, 32405, 93163, 58785}},
-{20033, 18, 111229, {1, 1, 1, 1, 27, 25, 125, 85, 495, 697, 1793, 301, 7665, 12671, 25359, 38803, 58723, 189837}},
-{20034, 18, 111230, {1, 3, 5, 11, 17, 11, 61, 211, 19, 901, 1701, 223, 2195, 15571, 3529, 34699, 94607, 196519}},
-{20035, 18, 111243, {1, 3, 7, 11, 15, 1, 111, 1, 381, 145, 293, 3639, 6931, 13195, 19985, 58491, 53067, 184411}},
-{20036, 18, 111267, {1, 3, 1, 15, 31, 39, 39, 101, 17, 431, 1151, 2465, 727, 12709, 5377, 5857, 49707, 76439}},
-{20037, 18, 111287, {1, 3, 3, 5, 7, 1, 3, 39, 357, 339, 415, 567, 7245, 13943, 7495, 54133, 119705, 160615}},
-{20038, 18, 111313, {1, 3, 5, 15, 9, 17, 13, 253, 337, 673, 1745, 2613, 4635, 14025, 11159, 50001, 40753, 172983}},
-{20039, 18, 111356, {1, 3, 7, 11, 3, 15, 19, 107, 393, 1015, 1441, 181, 5721, 9987, 15557, 37263, 90053, 205685}},
-{20040, 18, 111368, {1, 1, 5, 1, 9, 3, 69, 123, 245, 111, 283, 1581, 259, 275, 813, 12213, 19639, 7335}},
-{20041, 18, 111409, {1, 3, 7, 7, 1, 55, 101, 63, 259, 705, 653, 3821, 2081, 6447, 25471, 15523, 38827, 68055}},
-{20042, 18, 111419, {1, 1, 5, 7, 27, 9, 97, 149, 445, 341, 167, 3695, 375, 853, 8143, 36027, 62729, 197357}},
-{20043, 18, 111430, {1, 3, 7, 1, 1, 37, 97, 103, 493, 319, 1287, 3787, 4079, 13049, 14305, 6665, 4631, 96225}},
-{20044, 18, 111433, {1, 1, 5, 7, 1, 5, 127, 143, 251, 725, 1759, 2381, 181, 15741, 9395, 64441, 44347, 221697}},
-{20045, 18, 111442, {1, 3, 1, 3, 25, 47, 29, 167, 397, 827, 1255, 3271, 6307, 13915, 3131, 19123, 88619, 62847}},
-{20046, 18, 111467, {1, 3, 5, 1, 29, 11, 59, 203, 245, 553, 617, 1287, 205, 2291, 3613, 39933, 116981, 43595}},
-{20047, 18, 111491, {1, 1, 3, 9, 27, 33, 35, 77, 437, 1003, 119, 253, 6643, 113, 10587, 41073, 55371, 233307}},
-{20048, 18, 111503, {1, 3, 7, 1, 29, 63, 1, 231, 373, 995, 1063, 1385, 273, 14115, 6899, 62991, 112003, 80527}},
-{20049, 18, 111527, {1, 3, 3, 1, 31, 21, 55, 115, 393, 685, 245, 1587, 5617, 267, 19639, 15169, 14073, 173091}},
-{20050, 18, 111531, {1, 3, 1, 11, 29, 45, 53, 21, 433, 979, 1067, 2999, 6279, 4739, 30835, 61653, 112893, 75839}},
-{20051, 18, 111541, {1, 1, 5, 11, 23, 25, 15, 107, 325, 981, 1057, 1181, 4465, 16291, 1523, 64497, 129437, 45067}},
-{20052, 18, 111546, {1, 1, 1, 5, 1, 21, 79, 135, 419, 997, 1967, 747, 2097, 15397, 4415, 15807, 79583, 259561}},
-{20053, 18, 111548, {1, 3, 1, 7, 5, 49, 105, 109, 243, 371, 13, 2297, 2845, 12569, 13165, 13551, 75471, 168579}},
-{20054, 18, 111577, {1, 1, 1, 1, 9, 33, 7, 233, 43, 773, 1121, 3763, 4047, 15039, 8165, 25407, 82561, 215045}},
-{20055, 18, 111625, {1, 3, 7, 1, 17, 41, 105, 129, 333, 687, 1357, 1197, 1271, 3835, 15823, 36777, 94311, 192321}},
-{20056, 18, 111636, {1, 1, 5, 15, 13, 31, 93, 249, 81, 167, 1681, 1587, 179, 5755, 27741, 29437, 100407, 63287}},
-{20057, 18, 111650, {1, 3, 3, 13, 11, 39, 85, 23, 37, 183, 547, 1255, 1167, 15961, 23281, 59989, 99393, 34983}},
-{20058, 18, 111655, {1, 3, 7, 5, 13, 33, 17, 243, 321, 845, 447, 1997, 4639, 11175, 24651, 18281, 82677, 244543}},
-{20059, 18, 111662, {1, 3, 5, 13, 3, 63, 75, 35, 493, 207, 1707, 1401, 3687, 11353, 5461, 23433, 71259, 93483}},
-{20060, 18, 111673, {1, 1, 3, 1, 19, 61, 81, 133, 115, 957, 669, 647, 347, 8739, 18451, 39641, 118677, 136601}},
-{20061, 18, 111699, {1, 1, 7, 13, 3, 13, 119, 187, 111, 181, 1865, 1613, 201, 3633, 17805, 46553, 8899, 100407}},
-{20062, 18, 111727, {1, 3, 3, 9, 19, 33, 35, 215, 235, 893, 877, 3099, 7597, 13521, 22473, 65435, 3205, 44897}},
-{20063, 18, 111729, {1, 3, 3, 11, 27, 3, 101, 201, 215, 373, 859, 1435, 2637, 6795, 21157, 3333, 27797, 199427}},
-{20064, 18, 111741, {1, 1, 7, 13, 31, 33, 85, 205, 273, 565, 2033, 3451, 7581, 16223, 1383, 16297, 1263, 49065}},
-{20065, 18, 111757, {1, 1, 1, 13, 11, 29, 65, 71, 395, 179, 1193, 3859, 3075, 10133, 6463, 34617, 20173, 203471}},
-{20066, 18, 111781, {1, 1, 7, 3, 7, 29, 11, 115, 465, 695, 1759, 3137, 6337, 977, 43, 62501, 13297, 59319}},
-{20067, 18, 111791, {1, 3, 5, 9, 31, 59, 11, 107, 109, 797, 177, 2891, 2535, 4305, 19255, 9591, 84417, 87381}},
-{20068, 18, 111826, {1, 3, 3, 3, 1, 9, 45, 219, 73, 573, 1477, 3699, 8145, 835, 7123, 37167, 53411, 45397}},
-{20069, 18, 111838, {1, 3, 5, 15, 15, 41, 37, 63, 233, 971, 1497, 1223, 3909, 11721, 9217, 41055, 9779, 199339}},
-{20070, 18, 111854, {1, 3, 3, 7, 17, 61, 91, 237, 313, 841, 7, 3283, 4049, 10403, 22157, 4889, 31903, 188043}},
-{20071, 18, 111861, {1, 3, 7, 1, 25, 3, 59, 87, 191, 725, 1615, 4057, 3037, 14597, 17371, 42221, 73919, 58009}},
-{20072, 18, 111866, {1, 3, 5, 11, 27, 7, 45, 231, 315, 727, 843, 2191, 7909, 53, 23309, 55189, 96193, 174017}},
-{20073, 18, 111868, {1, 3, 5, 11, 27, 51, 127, 187, 209, 883, 429, 137, 4585, 15195, 16527, 32571, 30905, 8137}},
-{20074, 18, 111897, {1, 1, 1, 11, 15, 55, 13, 161, 183, 671, 659, 3669, 4461, 13691, 17119, 26877, 52041, 110103}},
-{20075, 18, 111903, {1, 3, 5, 9, 5, 45, 29, 19, 415, 931, 683, 2987, 3839, 4529, 3091, 54457, 115537, 102671}},
-{20076, 18, 111904, {1, 1, 7, 13, 23, 31, 61, 17, 327, 951, 1333, 713, 4309, 1955, 22797, 27007, 106673, 47177}},
-{20077, 18, 111959, {1, 3, 3, 9, 31, 49, 19, 115, 413, 257, 1799, 3641, 2075, 15613, 14293, 16123, 45131, 209389}},
-{20078, 18, 111975, {1, 1, 7, 15, 1, 15, 27, 63, 463, 825, 1081, 991, 2641, 5999, 8551, 41119, 80251, 189263}},
-{20079, 18, 112018, {1, 1, 5, 9, 7, 55, 125, 97, 245, 997, 457, 1087, 1297, 3433, 14887, 24117, 30689, 184809}},
-{20080, 18, 112023, {1, 3, 1, 9, 23, 59, 81, 233, 341, 943, 1335, 2819, 2625, 4957, 14925, 7917, 107383, 204493}},
-{20081, 18, 112033, {1, 3, 5, 5, 5, 25, 79, 29, 191, 541, 1295, 269, 613, 5201, 28639, 52839, 52865, 75181}},
-{20082, 18, 112036, {1, 3, 3, 7, 19, 45, 35, 201, 391, 317, 1323, 2733, 3407, 10273, 32689, 52153, 108751, 242493}},
-{20083, 18, 112043, {1, 3, 1, 7, 15, 27, 45, 21, 383, 483, 1857, 3443, 2263, 11471, 3697, 63929, 116399, 229733}},
-{20084, 18, 112095, {1, 1, 3, 9, 13, 27, 19, 37, 181, 811, 1833, 177, 7689, 10073, 20229, 31397, 65415, 68461}},
-{20085, 18, 112113, {1, 1, 1, 15, 19, 53, 65, 209, 433, 783, 1647, 4075, 3155, 733, 25603, 39033, 43109, 151257}},
-{20086, 18, 112136, {1, 3, 3, 5, 9, 37, 61, 75, 497, 825, 1785, 3709, 1731, 889, 19325, 57453, 39095, 190855}},
-{20087, 18, 112153, {1, 3, 3, 13, 3, 53, 21, 39, 483, 833, 1191, 2829, 1323, 1877, 17257, 36077, 47997, 25349}},
-{20088, 18, 112165, {1, 1, 7, 9, 29, 25, 7, 91, 87, 723, 777, 1865, 7763, 10995, 15953, 36111, 21313, 214417}},
-{20089, 18, 112166, {1, 3, 5, 3, 17, 15, 85, 133, 245, 317, 879, 3237, 7049, 6501, 13359, 34063, 124703, 118289}},
-{20090, 18, 112177, {1, 1, 1, 7, 11, 25, 111, 143, 369, 593, 237, 2787, 1015, 13059, 23275, 38453, 90809, 25803}},
-{20091, 18, 112189, {1, 1, 7, 5, 13, 21, 39, 235, 381, 381, 949, 773, 1123, 9911, 18115, 47657, 47849, 197633}},
-{20092, 18, 112226, {1, 1, 3, 13, 15, 57, 47, 203, 483, 341, 137, 1283, 2847, 5051, 22593, 60915, 45123, 258733}},
-{20093, 18, 112237, {1, 1, 3, 5, 29, 7, 23, 127, 493, 543, 747, 3547, 4433, 5847, 28999, 18079, 81205, 231557}},
-{20094, 18, 112240, {1, 1, 3, 15, 9, 63, 17, 197, 75, 387, 1679, 2631, 1033, 2757, 18365, 11957, 98915, 24223}},
-{20095, 18, 112255, {1, 1, 3, 9, 27, 55, 67, 97, 345, 995, 1151, 1747, 4889, 13847, 13237, 9035, 13461, 10377}},
-{20096, 18, 112265, {1, 1, 5, 9, 27, 13, 7, 77, 399, 191, 137, 2801, 6379, 15969, 1727, 27503, 97385, 147625}},
-{20097, 18, 112280, {1, 3, 1, 7, 5, 9, 103, 163, 489, 615, 1359, 2635, 3115, 13795, 18853, 65225, 26545, 212065}},
-{20098, 18, 112292, {1, 3, 7, 3, 13, 25, 125, 133, 359, 423, 751, 4045, 1209, 7521, 6653, 39171, 125083, 229399}},
-{20099, 18, 112307, {1, 3, 1, 9, 15, 21, 121, 223, 283, 313, 1807, 3829, 5279, 10609, 20113, 7851, 23731, 245327}},
-{20100, 18, 112316, {1, 1, 1, 11, 15, 13, 63, 253, 311, 369, 1549, 2803, 2029, 14967, 14217, 1387, 104669, 63375}},
-{20101, 18, 112342, {1, 1, 3, 3, 31, 49, 59, 189, 249, 779, 275, 3761, 3465, 2205, 11543, 16973, 126249, 104769}},
-{20102, 18, 112345, {1, 3, 1, 5, 11, 39, 59, 33, 121, 151, 467, 1011, 1379, 13955, 20117, 52537, 51049, 50663}},
-{20103, 18, 112351, {1, 1, 1, 7, 5, 41, 121, 29, 357, 33, 849, 2441, 2127, 1337, 21147, 63869, 80215, 31211}},
-{20104, 18, 112361, {1, 3, 3, 3, 25, 41, 17, 101, 173, 915, 463, 2391, 1671, 8789, 13357, 42127, 17599, 61087}},
-{20105, 18, 112364, {1, 1, 3, 9, 29, 23, 47, 211, 435, 223, 1421, 2463, 4543, 8569, 30209, 46621, 14367, 13263}},
-{20106, 18, 112372, {1, 3, 7, 7, 5, 9, 75, 209, 299, 81, 1705, 2335, 6703, 6309, 5859, 57889, 43219, 7667}},
-{20107, 18, 112382, {1, 3, 3, 3, 19, 31, 107, 87, 413, 111, 215, 2711, 7053, 5223, 25241, 26675, 16067, 122719}},
-{20108, 18, 112389, {1, 1, 1, 15, 21, 3, 15, 13, 281, 63, 725, 2025, 4813, 14177, 18577, 875, 118623, 192005}},
-{20109, 18, 112408, {1, 3, 5, 9, 17, 21, 85, 173, 59, 153, 763, 3899, 1985, 2071, 10439, 44911, 60915, 122419}},
-{20110, 18, 112417, {1, 3, 7, 13, 11, 63, 59, 95, 53, 927, 555, 1897, 5195, 13469, 16973, 3463, 125173, 256021}},
-{20111, 18, 112423, {1, 1, 3, 7, 9, 63, 33, 193, 61, 445, 1247, 1379, 4701, 5311, 30709, 16795, 69871, 161113}},
-{20112, 18, 112476, {1, 3, 1, 3, 21, 25, 125, 111, 109, 75, 455, 861, 6483, 4501, 19095, 45601, 78415, 30995}},
-{20113, 18, 112480, {1, 1, 3, 5, 1, 25, 15, 25, 223, 961, 537, 1453, 4951, 5085, 19801, 9863, 108819, 7319}},
-{20114, 18, 112483, {1, 3, 1, 5, 29, 21, 79, 113, 177, 691, 219, 3159, 3493, 25, 30655, 46257, 23707, 243377}},
-{20115, 18, 112513, {1, 1, 3, 3, 27, 21, 11, 95, 43, 161, 2029, 4091, 6695, 7179, 9955, 45195, 32017, 128605}},
-{20116, 18, 112538, {1, 1, 7, 5, 19, 37, 47, 83, 169, 143, 773, 2127, 347, 1887, 2861, 8155, 21437, 175641}},
-{20117, 18, 112543, {1, 3, 1, 1, 27, 63, 119, 57, 77, 931, 629, 1807, 4469, 2315, 3767, 19207, 114581, 125135}},
-{20118, 18, 112574, {1, 1, 5, 11, 13, 51, 51, 239, 333, 369, 1035, 3017, 103, 1809, 14579, 34425, 123915, 258397}},
-{20119, 18, 112599, {1, 1, 1, 3, 3, 19, 63, 237, 141, 929, 943, 2597, 3983, 1043, 24269, 12325, 39013, 216689}},
-{20120, 18, 112605, {1, 1, 3, 7, 9, 61, 73, 31, 287, 303, 1415, 3453, 2667, 8625, 14347, 51953, 9181, 251937}},
-{20121, 18, 112667, {1, 1, 7, 1, 15, 41, 1, 197, 87, 311, 1147, 3799, 2585, 14027, 491, 54203, 124861, 227637}},
-{20122, 18, 112688, {1, 3, 7, 3, 15, 35, 97, 89, 65, 493, 1897, 3345, 3807, 5911, 12461, 21393, 116975, 212801}},
-{20123, 18, 112735, {1, 1, 7, 11, 29, 47, 61, 171, 399, 929, 93, 2815, 4933, 9209, 15053, 21911, 117217, 52539}},
-{20124, 18, 112746, {1, 3, 1, 1, 19, 25, 11, 41, 73, 317, 215, 923, 5153, 8025, 18703, 11513, 107981, 2027}},
-{20125, 18, 112810, {1, 1, 5, 7, 27, 33, 47, 99, 171, 259, 2017, 2055, 909, 4185, 26689, 23155, 109857, 213957}},
-{20126, 18, 112817, {1, 3, 7, 3, 31, 17, 39, 203, 255, 345, 1461, 1561, 4349, 6451, 14763, 32993, 74475, 140557}},
-{20127, 18, 112827, {1, 1, 5, 3, 21, 57, 75, 201, 371, 529, 1471, 243, 3751, 581, 18405, 40933, 106311, 745}},
-{20128, 18, 112835, {1, 1, 3, 13, 7, 53, 125, 15, 55, 267, 1865, 3297, 4331, 2913, 21675, 58911, 28419, 105585}},
-{20129, 18, 112892, {1, 3, 5, 13, 7, 13, 37, 37, 207, 127, 785, 1129, 8123, 7655, 16003, 18907, 48883, 2001}},
-{20130, 18, 112898, {1, 1, 5, 3, 11, 3, 127, 149, 503, 1019, 887, 3429, 7775, 7113, 19571, 34461, 38889, 66981}},
-{20131, 18, 112915, {1, 3, 7, 7, 1, 55, 87, 217, 465, 485, 411, 2955, 4899, 1741, 7051, 42885, 1837, 68175}},
-{20132, 18, 112918, {1, 1, 7, 1, 7, 39, 25, 1, 185, 523, 273, 2409, 1867, 3101, 29823, 4509, 81621, 11815}},
-{20133, 18, 112937, {1, 1, 1, 11, 13, 11, 89, 237, 355, 347, 91, 1791, 5745, 4181, 29207, 39495, 5275, 199395}},
-{20134, 18, 112940, {1, 1, 7, 3, 17, 37, 109, 169, 191, 295, 1001, 2631, 1981, 11821, 8315, 40675, 1293, 220247}},
-{20135, 18, 112958, {1, 3, 1, 7, 31, 25, 5, 55, 1, 795, 1663, 3177, 6821, 2073, 25789, 23691, 25015, 75203}},
-{20136, 18, 113013, {1, 3, 5, 9, 19, 9, 97, 129, 351, 735, 1897, 3555, 1731, 5413, 32051, 12869, 111973, 100157}},
-{20137, 18, 113014, {1, 3, 3, 15, 27, 1, 3, 167, 7, 851, 805, 713, 6389, 1455, 32371, 7617, 107157, 131299}},
-{20138, 18, 113027, {1, 3, 1, 13, 31, 29, 91, 123, 387, 939, 223, 3583, 2889, 5307, 16561, 6055, 4437, 123229}},
-{20139, 18, 113048, {1, 3, 5, 11, 27, 17, 5, 145, 369, 449, 1677, 1039, 3553, 3057, 11667, 51879, 20519, 41573}},
-{20140, 18, 113051, {1, 3, 1, 9, 9, 1, 91, 33, 379, 35, 691, 375, 5937, 15019, 16177, 53457, 52015, 232257}},
-{20141, 18, 113053, {1, 1, 3, 11, 23, 17, 75, 217, 377, 571, 1725, 2719, 3911, 12277, 27799, 55573, 21981, 112529}},
-{20142, 18, 113102, {1, 3, 1, 11, 9, 37, 81, 95, 501, 615, 327, 3751, 7333, 15407, 7785, 29113, 116335, 221853}},
-{20143, 18, 113104, {1, 1, 1, 3, 17, 1, 125, 157, 461, 845, 93, 107, 4429, 2271, 14445, 32919, 81175, 244557}},
-{20144, 18, 113114, {1, 3, 3, 1, 27, 23, 33, 15, 29, 361, 409, 981, 7819, 10259, 21971, 23317, 66641, 54591}},
-{20145, 18, 113130, {1, 3, 7, 13, 31, 63, 11, 167, 511, 81, 1165, 3973, 4275, 3315, 10227, 34973, 58505, 2333}},
-{20146, 18, 113159, {1, 3, 1, 9, 3, 49, 111, 101, 41, 775, 449, 1349, 4411, 8691, 535, 60137, 3269, 204895}},
-{20147, 18, 113180, {1, 3, 7, 15, 7, 43, 39, 147, 309, 185, 733, 1473, 5467, 6183, 17971, 56805, 111931, 163515}},
-{20148, 18, 113189, {1, 3, 1, 3, 21, 31, 17, 129, 317, 587, 801, 2517, 2569, 765, 20869, 16461, 34425, 101123}},
-{20149, 18, 113211, {1, 3, 1, 7, 13, 63, 117, 31, 25, 741, 365, 687, 6195, 2093, 14679, 16861, 123381, 25263}},
-{20150, 18, 113245, {1, 1, 1, 3, 13, 59, 65, 131, 41, 39, 1659, 1491, 225, 10277, 12445, 4161, 92119, 146705}},
-{20151, 18, 113261, {1, 3, 5, 1, 31, 11, 21, 203, 345, 473, 1643, 1377, 555, 11675, 15383, 30855, 41249, 231059}},
-{20152, 18, 113273, {1, 1, 7, 15, 3, 23, 33, 133, 433, 407, 1217, 3345, 7455, 11489, 21463, 41621, 95755, 86971}},
-{20153, 18, 113292, {1, 1, 1, 3, 13, 47, 45, 181, 489, 89, 427, 1915, 3993, 10133, 20437, 31811, 48421, 150009}},
-{20154, 18, 113314, {1, 3, 1, 9, 9, 25, 89, 195, 503, 755, 59, 1869, 6645, 13841, 22973, 17761, 46759, 68717}},
-{20155, 18, 113319, {1, 3, 1, 1, 19, 21, 119, 123, 481, 289, 1009, 3769, 3909, 1123, 17875, 17383, 71533, 45455}},
-{20156, 18, 113323, {1, 1, 1, 3, 31, 33, 127, 43, 467, 749, 377, 3025, 511, 13335, 23987, 63627, 50211, 197253}},
-{20157, 18, 113326, {1, 1, 5, 13, 29, 7, 101, 43, 299, 769, 1637, 3731, 1945, 9933, 22263, 1523, 127557, 116867}},
-{20158, 18, 113337, {1, 1, 3, 11, 1, 59, 25, 45, 275, 535, 1349, 3625, 8125, 727, 1215, 15487, 86229, 124817}},
-{20159, 18, 113338, {1, 3, 3, 13, 3, 11, 25, 237, 213, 331, 395, 1775, 1225, 6859, 16577, 39105, 118081, 74727}},
-{20160, 18, 113355, {1, 1, 1, 9, 5, 27, 117, 75, 479, 757, 1299, 2273, 3221, 5297, 249, 60327, 48739, 107023}},
-{20161, 18, 113365, {1, 1, 5, 9, 27, 9, 123, 49, 63, 763, 121, 3955, 2069, 5999, 25973, 64661, 6321, 1179}},
-{20162, 18, 113376, {1, 3, 7, 11, 9, 51, 65, 93, 51, 51, 829, 3239, 7431, 3489, 7691, 38777, 28151, 96635}},
-{20163, 18, 113408, {1, 3, 3, 13, 15, 51, 13, 203, 49, 73, 363, 2173, 7771, 11527, 27683, 39333, 2083, 178623}},
-{20164, 18, 113462, {1, 1, 5, 5, 15, 27, 27, 127, 503, 955, 427, 3061, 6213, 917, 889, 12601, 72445, 105383}},
-{20165, 18, 113476, {1, 3, 5, 3, 27, 43, 105, 187, 309, 747, 1843, 723, 539, 8829, 19171, 46009, 26129, 173145}},
-{20166, 18, 113503, {1, 3, 7, 7, 9, 51, 121, 139, 107, 453, 1103, 2957, 633, 1435, 27275, 53231, 51393, 16847}},
-{20167, 18, 113550, {1, 3, 7, 5, 25, 31, 71, 191, 169, 69, 1477, 1413, 7659, 11737, 12365, 25067, 21787, 16225}},
-{20168, 18, 113578, {1, 1, 7, 1, 9, 33, 37, 123, 391, 341, 829, 1543, 7323, 14695, 16431, 20009, 95821, 182791}},
-{20169, 18, 113580, {1, 3, 1, 5, 9, 59, 109, 39, 301, 977, 1963, 177, 8107, 16193, 5691, 14157, 71605, 250839}},
-{20170, 18, 113634, {1, 3, 5, 9, 29, 33, 33, 153, 7, 217, 201, 563, 6577, 9605, 16671, 63949, 97937, 234309}},
-{20171, 18, 113653, {1, 3, 7, 3, 25, 11, 81, 89, 275, 801, 477, 1921, 2279, 1651, 13333, 9127, 99693, 83141}},
-{20172, 18, 113677, {1, 3, 7, 5, 23, 51, 23, 51, 447, 689, 387, 1845, 6033, 2037, 20139, 33165, 56111, 243353}},
-{20173, 18, 113713, {1, 3, 5, 7, 5, 7, 105, 121, 439, 471, 721, 85, 1627, 3735, 29611, 15537, 36131, 30225}},
-{20174, 18, 113751, {1, 1, 5, 5, 7, 29, 31, 209, 183, 217, 467, 1287, 6145, 14737, 16249, 8857, 101405, 103355}},
-{20175, 18, 113771, {1, 3, 3, 5, 19, 1, 43, 15, 239, 63, 617, 2189, 3841, 1223, 12217, 4121, 88047, 14069}},
-{20176, 18, 113781, {1, 3, 7, 1, 9, 49, 11, 65, 297, 943, 1739, 3797, 6169, 2057, 5031, 2149, 21439, 141039}},
-{20177, 18, 113797, {1, 1, 1, 7, 15, 59, 35, 203, 347, 529, 1741, 1003, 6143, 4979, 15495, 48447, 2139, 187025}},
-{20178, 18, 113846, {1, 1, 7, 13, 15, 17, 77, 225, 461, 691, 1067, 1133, 6555, 511, 25845, 39835, 11755, 142743}},
-{20179, 18, 113849, {1, 3, 3, 11, 27, 25, 49, 51, 335, 1, 381, 2703, 7023, 14739, 19335, 39625, 82255, 76277}},
-{20180, 18, 113855, {1, 3, 3, 7, 19, 3, 35, 95, 203, 991, 515, 2245, 6085, 4129, 9581, 38309, 114203, 136021}},
-{20181, 18, 113878, {1, 1, 7, 7, 21, 61, 31, 57, 459, 119, 523, 1293, 3647, 735, 28849, 15581, 123943, 210069}},
-{20182, 18, 113884, {1, 1, 7, 3, 9, 55, 103, 23, 401, 109, 23, 4083, 6179, 12817, 2787, 43337, 53647, 241507}},
-{20183, 18, 113926, {1, 1, 5, 7, 9, 51, 37, 133, 97, 933, 1509, 2229, 1769, 12901, 15439, 25687, 128823, 72451}},
-{20184, 18, 113938, {1, 3, 1, 13, 17, 19, 7, 109, 299, 799, 621, 3393, 3645, 283, 29889, 63215, 97805, 45795}},
-{20185, 18, 113956, {1, 3, 1, 15, 21, 7, 65, 237, 221, 433, 1611, 2591, 3639, 3231, 6025, 53465, 88091, 17657}},
-{20186, 18, 113980, {1, 1, 7, 9, 27, 13, 11, 185, 381, 43, 961, 2743, 2691, 10531, 3713, 61757, 124011, 209323}},
-{20187, 18, 113986, {1, 3, 5, 1, 13, 7, 109, 65, 359, 577, 2001, 3085, 3519, 8577, 19299, 40145, 37159, 82421}},
-{20188, 18, 113991, {1, 1, 3, 11, 7, 5, 21, 215, 391, 317, 879, 1835, 611, 7189, 3887, 45383, 41025, 175701}},
-{20189, 18, 114005, {1, 1, 1, 1, 5, 17, 69, 115, 481, 477, 2017, 583, 8033, 11349, 16625, 213, 88033, 31707}},
-{20190, 18, 114022, {1, 1, 7, 15, 19, 55, 121, 35, 1, 71, 1011, 3247, 4133, 1681, 29943, 30149, 96797, 177707}},
-{20191, 18, 114036, {1, 3, 5, 13, 11, 45, 83, 153, 455, 223, 787, 2025, 5271, 229, 17549, 5775, 75311, 134523}},
-{20192, 18, 114046, {1, 3, 5, 7, 21, 43, 3, 253, 395, 651, 1111, 1685, 539, 6555, 25761, 39477, 15823, 261825}},
-{20193, 18, 114050, {1, 3, 7, 15, 27, 35, 43, 191, 269, 247, 883, 887, 1505, 7433, 6239, 5421, 49583, 17765}},
-{20194, 18, 114061, {1, 1, 5, 15, 7, 19, 113, 177, 63, 119, 517, 3987, 971, 12071, 13107, 28913, 85675, 204921}},
-{20195, 18, 114067, {1, 3, 7, 15, 31, 47, 21, 129, 31, 505, 661, 855, 6135, 13063, 27971, 63801, 27469, 75373}},
-{20196, 18, 114117, {1, 1, 7, 5, 13, 23, 111, 85, 279, 969, 483, 831, 483, 9065, 10997, 59031, 5083, 150939}},
-{20197, 18, 114142, {1, 3, 5, 7, 17, 55, 11, 223, 189, 209, 139, 577, 5443, 913, 19085, 53113, 8427, 11251}},
-{20198, 18, 114158, {1, 1, 1, 7, 23, 61, 95, 213, 443, 803, 1545, 3625, 2195, 2649, 10913, 14339, 23001, 16735}},
-{20199, 18, 114165, {1, 3, 3, 3, 13, 45, 15, 225, 419, 445, 527, 635, 2279, 5097, 25267, 199, 66187, 156717}},
-{20200, 18, 114200, {1, 1, 1, 7, 23, 17, 113, 245, 99, 159, 919, 2961, 1731, 6241, 12749, 8925, 44153, 243249}},
-{20201, 18, 114219, {1, 3, 1, 3, 29, 57, 43, 245, 389, 233, 135, 45, 3771, 14061, 10173, 51939, 128985, 81605}},
-{20202, 18, 114254, {1, 1, 1, 15, 1, 19, 25, 111, 91, 193, 1185, 3679, 7155, 7077, 13743, 35631, 128975, 196979}},
-{20203, 18, 114265, {1, 3, 3, 13, 31, 57, 25, 53, 149, 331, 643, 915, 1607, 14429, 29803, 23459, 72915, 39253}},
-{20204, 18, 114272, {1, 3, 3, 9, 23, 45, 9, 29, 383, 277, 981, 1647, 5217, 4449, 26759, 63849, 98081, 37565}},
-{20205, 18, 114312, {1, 1, 1, 15, 3, 23, 9, 121, 231, 27, 1961, 2389, 1689, 7041, 8069, 37973, 74601, 15553}},
-{20206, 18, 114318, {1, 1, 5, 15, 15, 29, 11, 177, 355, 47, 1821, 393, 3383, 10439, 6357, 41119, 60323, 206253}},
-{20207, 18, 114348, {1, 1, 1, 1, 21, 29, 87, 149, 157, 979, 1867, 729, 1949, 4409, 27495, 6841, 89033, 214957}},
-{20208, 18, 114377, {1, 1, 3, 3, 9, 7, 115, 129, 141, 157, 881, 109, 5537, 303, 32549, 1953, 9903, 82401}},
-{20209, 18, 114383, {1, 1, 5, 15, 9, 19, 93, 53, 319, 913, 1341, 705, 4639, 16189, 11375, 39155, 81393, 115843}},
-{20210, 18, 114386, {1, 1, 5, 7, 31, 21, 3, 47, 437, 799, 359, 3291, 3917, 12983, 19283, 23769, 34033, 226041}},
-{20211, 18, 114431, {1, 3, 7, 7, 27, 13, 65, 31, 181, 511, 1373, 3871, 1537, 6015, 12103, 42187, 121043, 95715}},
-{20212, 18, 114448, {1, 1, 5, 11, 1, 55, 91, 11, 105, 137, 1787, 81, 5163, 5793, 17403, 59433, 113439, 65751}},
-{20213, 18, 114479, {1, 1, 3, 13, 21, 57, 87, 157, 379, 5, 285, 3217, 4557, 3359, 28953, 63397, 110537, 230571}},
-{20214, 18, 114487, {1, 3, 7, 7, 7, 27, 25, 109, 125, 337, 719, 561, 5903, 12913, 6987, 17157, 50655, 195109}},
-{20215, 18, 114513, {1, 3, 3, 15, 3, 11, 97, 93, 441, 19, 1435, 515, 6129, 5177, 28075, 53495, 107817, 78399}},
-{20216, 18, 114542, {1, 3, 1, 9, 13, 7, 89, 171, 165, 479, 223, 4001, 691, 4033, 13577, 33363, 63447, 46609}},
-{20217, 18, 114572, {1, 3, 7, 1, 15, 47, 103, 45, 209, 639, 1465, 2795, 6025, 7981, 29491, 47743, 12861, 222445}},
-{20218, 18, 114584, {1, 3, 3, 3, 1, 25, 121, 91, 253, 969, 1259, 1409, 1329, 15995, 17733, 24081, 101747, 120619}},
-{20219, 18, 114600, {1, 3, 7, 11, 11, 5, 7, 241, 469, 411, 1733, 1385, 7005, 10977, 23369, 10675, 90341, 93077}},
-{20220, 18, 114605, {1, 3, 3, 13, 17, 35, 107, 189, 437, 801, 1761, 3133, 3847, 14079, 22465, 45957, 38449, 54273}},
-{20221, 18, 114623, {1, 1, 7, 9, 9, 47, 55, 107, 491, 281, 777, 2187, 6179, 6607, 2151, 9093, 42873, 104677}},
-{20222, 18, 114628, {1, 1, 5, 3, 25, 3, 37, 55, 339, 619, 1227, 3859, 5593, 9639, 31199, 48155, 80779, 6497}},
-{20223, 18, 114640, {1, 1, 7, 1, 21, 49, 105, 45, 119, 635, 163, 3821, 3689, 11395, 19265, 14289, 89259, 167433}},
-{20224, 18, 114650, {1, 3, 3, 15, 29, 23, 11, 255, 425, 443, 1659, 3965, 4791, 10223, 11113, 48751, 7987, 166605}},
-{20225, 18, 114668, {1, 1, 7, 3, 7, 1, 113, 153, 233, 803, 539, 297, 4847, 11203, 29393, 54319, 94373, 173471}},
-{20226, 18, 114671, {1, 3, 3, 5, 27, 57, 23, 147, 423, 617, 103, 3369, 4825, 13613, 23635, 61977, 5331, 115243}},
-{20227, 18, 114674, {1, 3, 3, 9, 11, 47, 41, 27, 345, 657, 1873, 365, 1685, 11181, 31977, 60489, 98741, 215357}},
-{20228, 18, 114700, {1, 3, 1, 11, 19, 33, 39, 223, 151, 921, 309, 3413, 6735, 11971, 25583, 6927, 54821, 125203}},
-{20229, 18, 114731, {1, 1, 5, 1, 27, 31, 61, 247, 207, 895, 1453, 3613, 7097, 6537, 29407, 9903, 39937, 98285}},
-{20230, 18, 114748, {1, 3, 1, 5, 7, 11, 119, 7, 323, 27, 1069, 2033, 7387, 3381, 19007, 49039, 39453, 115411}},
-{20231, 18, 114759, {1, 1, 7, 3, 9, 15, 51, 139, 353, 857, 1829, 3955, 7669, 3961, 22805, 39879, 26677, 66865}},
-{20232, 18, 114766, {1, 3, 5, 7, 1, 11, 59, 95, 181, 645, 829, 3119, 3607, 5973, 12381, 41577, 79443, 226945}},
-{20233, 18, 114768, {1, 3, 3, 5, 3, 13, 91, 119, 103, 889, 703, 3005, 541, 7529, 12613, 14267, 70445, 217543}},
-{20234, 18, 114784, {1, 1, 5, 7, 17, 41, 5, 225, 85, 759, 1071, 2055, 1655, 14811, 25635, 50803, 58545, 105687}},
-{20235, 18, 114808, {1, 3, 5, 13, 3, 7, 77, 209, 139, 717, 985, 1085, 831, 11011, 27313, 46423, 29435, 207359}},
-{20236, 18, 114813, {1, 3, 1, 7, 27, 45, 39, 75, 311, 937, 1593, 1357, 4815, 1997, 1045, 48681, 49301, 155607}},
-{20237, 18, 114829, {1, 3, 5, 11, 21, 9, 111, 39, 447, 241, 1613, 1799, 4817, 1861, 1263, 63641, 92081, 252051}},
-{20238, 18, 114830, {1, 1, 1, 13, 31, 13, 39, 29, 349, 25, 1227, 2457, 3831, 7965, 16903, 25825, 62381, 101765}},
-{20239, 18, 114842, {1, 1, 3, 7, 15, 17, 5, 29, 83, 607, 931, 261, 1087, 16247, 10129, 7813, 5445, 167723}},
-{20240, 18, 114875, {1, 3, 5, 9, 15, 31, 69, 191, 139, 467, 1681, 1951, 7813, 4295, 18191, 11411, 15601, 13025}},
-{20241, 18, 114898, {1, 1, 1, 11, 29, 53, 97, 205, 281, 917, 1009, 913, 1003, 16085, 30339, 55753, 53099, 30697}},
-{20242, 18, 114903, {1, 1, 3, 15, 25, 35, 7, 227, 63, 251, 845, 843, 7117, 6021, 26917, 43611, 108643, 215471}},
-{20243, 18, 114913, {1, 1, 3, 11, 19, 29, 75, 5, 131, 37, 1185, 2387, 8161, 1621, 19887, 20525, 33067, 30869}},
-{20244, 18, 114928, {1, 1, 3, 3, 7, 37, 75, 159, 313, 17, 479, 2477, 7779, 309, 26095, 35693, 92561, 143151}},
-{20245, 18, 114937, {1, 1, 5, 9, 5, 29, 65, 223, 331, 1013, 37, 1813, 1379, 9277, 14681, 61687, 24763, 124669}},
-{20246, 18, 114958, {1, 3, 1, 1, 17, 47, 7, 219, 11, 13, 1517, 2583, 7483, 5399, 6883, 51387, 17901, 108659}},
-{20247, 18, 114963, {1, 3, 7, 11, 9, 63, 81, 91, 411, 535, 255, 3683, 5285, 1787, 27205, 43651, 15647, 230651}},
-{20248, 18, 115000, {1, 3, 1, 11, 7, 47, 35, 255, 341, 379, 421, 753, 7821, 13271, 13021, 463, 48457, 132521}},
-{20249, 18, 115018, {1, 1, 5, 7, 21, 23, 53, 229, 393, 509, 1641, 2245, 6941, 10447, 3231, 5451, 18883, 47401}},
-{20250, 18, 115023, {1, 3, 1, 7, 13, 61, 71, 49, 147, 625, 299, 3843, 4851, 3483, 27005, 23871, 18855, 124893}},
-{20251, 18, 115028, {1, 3, 1, 7, 31, 13, 127, 177, 259, 179, 531, 1775, 5481, 13157, 23821, 31773, 93941, 237697}},
-{20252, 18, 115042, {1, 1, 7, 1, 23, 21, 111, 219, 401, 455, 1603, 2077, 1537, 2063, 17821, 52087, 20707, 29535}},
-{20253, 18, 115084, {1, 1, 3, 11, 17, 17, 13, 79, 49, 353, 1691, 361, 2805, 7121, 27013, 50631, 108235, 70513}},
-{20254, 18, 115096, {1, 1, 5, 3, 15, 25, 103, 73, 377, 253, 1303, 501, 555, 15789, 16647, 9019, 60581, 157337}},
-{20255, 18, 115105, {1, 3, 5, 9, 23, 45, 3, 251, 25, 559, 429, 1091, 5657, 15387, 5113, 64533, 131049, 127587}},
-{20256, 18, 115117, {1, 1, 3, 15, 1, 53, 71, 141, 413, 849, 737, 3045, 7119, 8049, 18295, 31447, 70735, 117457}},
-{20257, 18, 115149, {1, 1, 1, 11, 17, 11, 69, 155, 211, 249, 1869, 1575, 6859, 7045, 7015, 20135, 84157, 232621}},
-{20258, 18, 115155, {1, 3, 7, 5, 19, 55, 15, 163, 457, 371, 1665, 1935, 601, 3629, 21975, 1191, 45133, 111649}},
-{20259, 18, 115198, {1, 3, 7, 11, 23, 33, 5, 253, 355, 379, 933, 1781, 3989, 6191, 19081, 7651, 74671, 258799}},
-{20260, 18, 115221, {1, 1, 3, 3, 23, 3, 63, 123, 273, 861, 369, 2409, 1505, 9059, 10727, 189, 122911, 44037}},
-{20261, 18, 115222, {1, 1, 7, 13, 13, 23, 19, 87, 191, 397, 2027, 1689, 1143, 10919, 27073, 15013, 118429, 119165}},
-{20262, 18, 115225, {1, 1, 5, 9, 15, 13, 29, 81, 409, 955, 1827, 1341, 3473, 16005, 29041, 57527, 7329, 167093}},
-{20263, 18, 115276, {1, 1, 5, 3, 11, 31, 47, 13, 171, 995, 961, 3885, 3259, 2745, 12405, 49281, 2901, 207591}},
-{20264, 18, 115294, {1, 3, 5, 13, 31, 3, 1, 215, 465, 279, 1697, 2449, 3829, 2053, 9877, 52911, 126077, 210515}},
-{20265, 18, 115297, {1, 1, 3, 7, 11, 27, 55, 115, 249, 353, 407, 2567, 8105, 7747, 18111, 3383, 101875, 2185}},
-{20266, 18, 115321, {1, 1, 3, 9, 25, 5, 35, 137, 405, 667, 1671, 2965, 5975, 4999, 18421, 43623, 64621, 129797}},
-{20267, 18, 115348, {1, 3, 7, 13, 3, 17, 33, 191, 463, 787, 1795, 3037, 1679, 63, 12389, 3983, 22385, 84235}},
-{20268, 18, 115364, {1, 1, 5, 9, 11, 25, 85, 215, 355, 553, 317, 1637, 3461, 15943, 2619, 14545, 125507, 18659}},
-{20269, 18, 115376, {1, 1, 7, 5, 3, 41, 105, 179, 125, 557, 1345, 3631, 481, 10621, 11213, 40223, 46581, 113137}},
-{20270, 18, 115385, {1, 3, 3, 15, 1, 63, 95, 213, 89, 21, 1249, 3063, 413, 4307, 26723, 10225, 115143, 144817}},
-{20271, 18, 115386, {1, 3, 5, 15, 9, 43, 41, 117, 419, 143, 1651, 377, 4775, 8761, 23793, 8719, 76499, 208119}},
-{20272, 18, 115400, {1, 3, 3, 1, 21, 29, 47, 117, 23, 333, 1153, 1067, 5859, 9375, 29997, 58991, 55895, 204933}},
-{20273, 18, 115414, {1, 1, 3, 11, 11, 21, 115, 85, 223, 281, 701, 1331, 1341, 1149, 5993, 10885, 77353, 113553}},
-{20274, 18, 115465, {1, 1, 5, 1, 25, 1, 1, 153, 449, 231, 593, 3061, 4157, 6661, 21735, 11361, 57751, 129569}},
-{20275, 18, 115485, {1, 1, 3, 7, 27, 63, 81, 251, 125, 197, 1525, 1637, 4643, 4743, 17127, 51217, 95781, 973}},
-{20276, 18, 115492, {1, 1, 3, 7, 11, 51, 13, 139, 83, 341, 543, 3061, 7777, 6705, 9609, 28933, 24669, 225275}},
-{20277, 18, 115501, {1, 3, 1, 9, 25, 39, 99, 139, 5, 725, 1759, 1577, 1751, 3197, 3169, 39051, 1743, 108813}},
-{20278, 18, 115519, {1, 1, 7, 5, 31, 15, 115, 229, 499, 291, 501, 3119, 2293, 14137, 625, 16379, 111057, 101643}},
-{20279, 18, 115527, {1, 3, 7, 15, 31, 1, 51, 73, 455, 51, 1983, 3687, 6049, 3495, 26247, 6567, 28479, 158909}},
-{20280, 18, 115531, {1, 3, 5, 5, 9, 11, 77, 181, 165, 773, 1611, 3945, 6787, 3827, 28597, 53269, 34003, 237291}},
-{20281, 18, 115567, {1, 1, 5, 3, 31, 57, 15, 9, 163, 363, 1021, 2193, 8175, 3851, 26059, 63915, 114293, 163637}},
-{20282, 18, 115572, {1, 1, 3, 7, 27, 49, 35, 121, 469, 833, 879, 1601, 6991, 13271, 8085, 45343, 5189, 109413}},
-{20283, 18, 115631, {1, 3, 1, 15, 7, 11, 111, 153, 129, 769, 565, 2693, 333, 7343, 28535, 56937, 85641, 19871}},
-{20284, 18, 115648, {1, 1, 5, 13, 7, 49, 121, 223, 55, 33, 19, 2291, 1847, 10173, 23337, 23431, 18181, 155663}},
-{20285, 18, 115660, {1, 3, 1, 11, 25, 9, 3, 255, 425, 861, 1025, 3719, 6995, 14687, 31083, 60609, 115375, 17813}},
-{20286, 18, 115672, {1, 1, 5, 13, 1, 55, 109, 239, 13, 939, 1077, 669, 1643, 10949, 25399, 55055, 125829, 253077}},
-{20287, 18, 115681, {1, 1, 5, 3, 15, 51, 13, 133, 257, 387, 2017, 2223, 1479, 9377, 12867, 9833, 32323, 6255}},
-{20288, 18, 115688, {1, 3, 1, 9, 1, 53, 121, 163, 349, 491, 1867, 3403, 6859, 459, 1483, 23893, 66851, 150843}},
-{20289, 18, 115694, {1, 1, 1, 1, 1, 33, 51, 33, 177, 633, 449, 2705, 663, 3701, 8331, 43895, 87223, 48587}},
-{20290, 18, 115699, {1, 3, 5, 7, 23, 7, 99, 43, 217, 31, 749, 2831, 1557, 3295, 6797, 45229, 46831, 62183}},
-{20291, 18, 115719, {1, 1, 7, 7, 1, 45, 35, 51, 415, 693, 479, 1017, 6703, 241, 30887, 8953, 26901, 2951}},
-{20292, 18, 115726, {1, 3, 3, 7, 29, 3, 25, 217, 67, 769, 653, 3983, 5513, 15481, 21399, 17525, 81747, 109843}},
-{20293, 18, 115733, {1, 3, 5, 5, 29, 17, 97, 187, 157, 189, 1531, 1123, 4291, 14831, 15493, 62753, 53563, 153679}},
-{20294, 18, 115796, {1, 3, 7, 13, 15, 63, 47, 5, 351, 275, 1177, 3947, 6755, 1319, 17053, 14267, 98215, 228795}},
-{20295, 18, 115879, {1, 3, 7, 5, 19, 45, 43, 223, 213, 903, 539, 267, 83, 6951, 2979, 56929, 58405, 198373}},
-{20296, 18, 115880, {1, 1, 5, 11, 21, 37, 109, 103, 29, 49, 17, 3987, 5679, 2559, 17391, 46157, 38743, 82245}},
-{20297, 18, 115888, {1, 1, 3, 7, 7, 35, 57, 187, 113, 361, 721, 1821, 6473, 10233, 22549, 37725, 8445, 220669}},
-{20298, 18, 115908, {1, 3, 3, 9, 21, 41, 73, 29, 163, 701, 1277, 3869, 1529, 4889, 10091, 65507, 53829, 191347}},
-{20299, 18, 115925, {1, 1, 5, 15, 5, 21, 39, 39, 341, 271, 1543, 3161, 3935, 8319, 24921, 19575, 95009, 256221}},
-{20300, 18, 115942, {1, 1, 1, 3, 11, 33, 63, 189, 21, 773, 1261, 3947, 183, 6769, 31337, 22179, 57255, 8323}},
-{20301, 18, 115978, {1, 1, 3, 15, 29, 59, 103, 251, 107, 499, 915, 387, 3127, 5597, 3345, 15657, 979, 91685}},
-{20302, 18, 115986, {1, 3, 3, 11, 13, 27, 9, 137, 177, 75, 567, 1511, 7355, 3087, 15309, 51733, 87329, 217125}},
-{20303, 18, 116014, {1, 1, 1, 15, 9, 43, 113, 177, 507, 379, 765, 75, 6895, 7523, 24611, 7315, 49653, 59263}},
-{20304, 18, 116019, {1, 3, 1, 5, 29, 23, 59, 215, 267, 161, 1957, 341, 4081, 9635, 3345, 12323, 128751, 144577}},
-{20305, 18, 116031, {1, 3, 3, 13, 17, 55, 59, 73, 65, 697, 1209, 3345, 5629, 4545, 23043, 37649, 55015, 10263}},
-{20306, 18, 116048, {1, 1, 7, 1, 21, 3, 7, 19, 445, 417, 1677, 799, 1241, 15463, 19815, 52845, 81309, 256713}},
-{20307, 18, 116069, {1, 1, 3, 13, 13, 57, 17, 199, 3, 377, 1799, 2713, 3937, 12511, 7439, 33605, 56697, 168195}},
-{20308, 18, 116091, {1, 3, 1, 7, 21, 53, 115, 97, 389, 83, 961, 813, 1499, 3411, 22377, 33323, 118405, 115947}},
-{20309, 18, 116103, {1, 3, 7, 11, 23, 43, 85, 249, 151, 893, 833, 901, 7731, 13467, 14721, 38613, 104033, 136097}},
-{20310, 18, 116107, {1, 3, 1, 11, 23, 23, 119, 129, 175, 159, 1031, 2379, 2753, 6755, 10979, 18225, 52375, 257003}},
-{20311, 18, 116145, {1, 3, 1, 13, 1, 9, 61, 255, 433, 621, 1469, 705, 5841, 7421, 23873, 30487, 55823, 119705}},
-{20312, 18, 116152, {1, 3, 1, 15, 19, 31, 29, 163, 87, 793, 885, 2495, 4609, 2757, 5333, 52937, 79187, 228777}},
-{20313, 18, 116247, {1, 1, 1, 3, 17, 43, 69, 241, 143, 173, 327, 2747, 5617, 16347, 16155, 47775, 25917, 163663}},
-{20314, 18, 116289, {1, 1, 1, 1, 19, 19, 15, 27, 25, 139, 691, 4019, 3055, 10301, 11281, 10957, 59117, 178149}},
-{20315, 18, 116316, {1, 1, 1, 3, 15, 15, 37, 89, 103, 7, 527, 2823, 7205, 6831, 25179, 22249, 103323, 31251}},
-{20316, 18, 116344, {1, 1, 3, 3, 7, 49, 7, 241, 37, 11, 577, 1987, 1935, 14787, 16411, 36305, 65185, 221253}},
-{20317, 18, 116354, {1, 1, 1, 5, 31, 51, 123, 169, 441, 13, 721, 2359, 5687, 2641, 16339, 8441, 55967, 98775}},
-{20318, 18, 116368, {1, 1, 7, 5, 21, 23, 91, 229, 23, 105, 339, 2371, 7803, 14913, 12651, 40573, 117399, 134865}},
-{20319, 18, 116377, {1, 3, 1, 15, 19, 27, 127, 77, 469, 343, 451, 2251, 6705, 7765, 8623, 10367, 100379, 140899}},
-{20320, 18, 116383, {1, 3, 1, 5, 1, 11, 93, 231, 33, 133, 1545, 1015, 7577, 8871, 29975, 12141, 130833, 103123}},
-{20321, 18, 116387, {1, 3, 3, 5, 7, 25, 95, 93, 293, 543, 1785, 2097, 6045, 4225, 607, 443, 72055, 32269}},
-{20322, 18, 116408, {1, 1, 1, 1, 5, 55, 47, 105, 189, 359, 1589, 765, 2303, 11963, 25565, 40669, 98977, 242089}},
-{20323, 18, 116428, {1, 1, 1, 15, 13, 45, 121, 235, 125, 181, 1891, 3265, 2097, 3207, 31647, 13407, 22515, 15155}},
-{20324, 18, 116445, {1, 1, 5, 15, 13, 11, 81, 233, 307, 505, 221, 813, 6483, 741, 9819, 19405, 74235, 144761}},
-{20325, 18, 116476, {1, 3, 5, 7, 9, 25, 31, 209, 337, 473, 1831, 2711, 5551, 13531, 28747, 1875, 6401, 159995}},
-{20326, 18, 116482, {1, 1, 7, 7, 29, 3, 127, 207, 387, 849, 1449, 2741, 2105, 885, 18115, 5433, 122119, 16969}},
-{20327, 18, 116488, {1, 3, 7, 9, 25, 17, 43, 209, 41, 927, 409, 1567, 1609, 12487, 16305, 41365, 10991, 172127}},
-{20328, 18, 116493, {1, 1, 3, 7, 27, 29, 63, 127, 81, 283, 1459, 143, 5993, 14027, 8055, 28065, 128389, 255307}},
-{20329, 18, 116502, {1, 3, 7, 11, 13, 41, 63, 223, 215, 901, 1853, 2881, 5149, 7439, 4519, 33279, 127765, 139431}},
-{20330, 18, 116518, {1, 3, 7, 7, 15, 61, 61, 173, 221, 711, 191, 3863, 2695, 9663, 6277, 8791, 128019, 256755}},
-{20331, 18, 116524, {1, 3, 1, 9, 29, 45, 83, 43, 297, 605, 1887, 2421, 2307, 5199, 17275, 39225, 127215, 253687}},
-{20332, 18, 116527, {1, 1, 5, 3, 21, 23, 121, 125, 497, 945, 1367, 2757, 3481, 8607, 32447, 62373, 32171, 226621}},
-{20333, 18, 116549, {1, 3, 1, 5, 7, 1, 71, 255, 465, 951, 129, 1989, 6053, 3737, 6511, 54519, 16947, 124491}},
-{20334, 18, 116561, {1, 3, 5, 1, 9, 21, 127, 49, 85, 615, 1897, 1715, 7923, 10309, 16919, 24131, 18015, 140195}},
-{20335, 18, 116562, {1, 1, 1, 1, 5, 27, 3, 205, 29, 319, 485, 3941, 7829, 789, 4207, 39939, 67761, 152459}},
-{20336, 18, 116568, {1, 3, 7, 11, 9, 41, 1, 129, 511, 831, 1007, 2011, 6211, 9179, 20877, 62121, 21879, 23661}},
-{20337, 18, 116577, {1, 1, 7, 1, 19, 53, 75, 123, 181, 735, 925, 1065, 3317, 3201, 27473, 19379, 78223, 45725}},
-{20338, 18, 116590, {1, 1, 5, 9, 9, 61, 3, 193, 441, 815, 583, 3235, 247, 14091, 19877, 33505, 3477, 20111}},
-{20339, 18, 116602, {1, 1, 5, 13, 29, 53, 55, 165, 359, 889, 1833, 1543, 7913, 307, 22853, 37839, 15569, 140127}},
-{20340, 18, 116607, {1, 1, 1, 15, 21, 53, 63, 195, 299, 1019, 1371, 1311, 5401, 8015, 30335, 56281, 61011, 59279}},
-{20341, 18, 116611, {1, 1, 3, 13, 3, 57, 45, 239, 445, 419, 581, 3971, 4621, 9327, 27255, 53069, 126415, 250313}},
-{20342, 18, 116626, {1, 3, 1, 9, 5, 63, 21, 25, 447, 961, 1857, 3123, 3029, 9743, 26069, 38251, 58475, 108737}},
-{20343, 18, 116637, {1, 3, 1, 15, 13, 59, 5, 21, 171, 107, 1631, 2407, 6695, 8079, 2805, 50995, 53173, 104757}},
-{20344, 18, 116647, {1, 3, 7, 7, 1, 55, 103, 67, 369, 533, 515, 2363, 5147, 11633, 20435, 24591, 68155, 140029}},
-{20345, 18, 116665, {1, 3, 7, 13, 19, 51, 13, 149, 159, 915, 1029, 2825, 5259, 5139, 31325, 42825, 119923, 227811}},
-{20346, 18, 116674, {1, 3, 3, 3, 23, 17, 121, 25, 403, 333, 491, 2869, 881, 12997, 5101, 48351, 90831, 143009}},
-{20347, 18, 116700, {1, 1, 3, 15, 23, 63, 93, 43, 107, 393, 419, 3509, 1543, 10295, 11019, 8389, 73753, 42681}},
-{20348, 18, 116714, {1, 1, 7, 1, 29, 49, 41, 189, 303, 955, 1241, 1623, 2269, 3413, 6261, 2155, 90945, 95117}},
-{20349, 18, 116719, {1, 1, 3, 15, 31, 13, 103, 241, 189, 283, 1303, 1693, 1587, 16313, 205, 43421, 121799, 200151}},
-{20350, 18, 116744, {1, 3, 5, 1, 29, 27, 105, 83, 345, 411, 1197, 3489, 5891, 1137, 7311, 681, 127991, 69533}},
-{20351, 18, 116764, {1, 3, 5, 15, 31, 11, 105, 221, 57, 39, 145, 3233, 1431, 16271, 21225, 47989, 72583, 191327}},
-{20352, 18, 116774, {1, 3, 7, 9, 25, 47, 109, 61, 257, 949, 981, 1383, 8003, 4661, 19555, 20191, 114641, 84817}},
-{20353, 18, 116778, {1, 1, 5, 9, 17, 9, 19, 209, 73, 573, 1039, 2741, 1495, 1615, 6299, 20507, 84729, 166977}},
-{20354, 18, 116798, {1, 3, 5, 13, 27, 51, 39, 203, 437, 725, 1479, 3071, 621, 15563, 28473, 58403, 25943, 116683}},
-{20355, 18, 116803, {1, 1, 3, 9, 5, 29, 63, 61, 329, 305, 523, 2243, 6689, 11773, 19319, 57783, 24265, 218153}},
-{20356, 18, 116806, {1, 3, 7, 5, 17, 27, 115, 9, 243, 613, 679, 1915, 7265, 2989, 13663, 15115, 50779, 235761}},
-{20357, 18, 116827, {1, 1, 5, 5, 13, 35, 111, 151, 255, 569, 1209, 3277, 4503, 3797, 22601, 19523, 126339, 141289}},
-{20358, 18, 116839, {1, 1, 3, 9, 15, 51, 85, 125, 233, 1011, 231, 2949, 1091, 8605, 14855, 62401, 14143, 212557}},
-{20359, 18, 116863, {1, 3, 5, 11, 29, 53, 83, 31, 201, 219, 1083, 967, 6913, 10325, 1971, 55841, 7733, 208883}},
-{20360, 18, 116873, {1, 3, 3, 1, 23, 33, 51, 103, 265, 285, 1363, 2813, 3327, 7921, 13537, 31483, 43405, 189641}},
-{20361, 18, 116882, {1, 1, 7, 15, 27, 3, 5, 87, 117, 437, 1251, 189, 3271, 15579, 25025, 23203, 39421, 133581}},
-{20362, 18, 116887, {1, 1, 5, 1, 9, 3, 91, 45, 71, 557, 2019, 2355, 5539, 2843, 13025, 61017, 3475, 179891}},
-{20363, 18, 116915, {1, 1, 7, 5, 17, 11, 127, 241, 9, 971, 1699, 2719, 1947, 109, 19817, 13949, 120247, 60775}},
-{20364, 18, 116939, {1, 1, 5, 9, 9, 39, 117, 221, 197, 767, 1691, 4075, 3665, 1271, 16119, 64129, 2681, 105325}},
-{20365, 18, 116944, {1, 3, 3, 11, 31, 51, 5, 23, 419, 715, 1985, 4095, 7255, 10491, 25575, 6177, 35917, 178345}},
-{20366, 18, 116953, {1, 3, 5, 7, 15, 23, 99, 203, 461, 509, 1501, 1965, 1105, 1341, 21713, 21901, 129905, 67937}},
-{20367, 18, 116965, {1, 3, 3, 15, 25, 5, 55, 167, 477, 125, 163, 2379, 2433, 12975, 26259, 55825, 19913, 202873}},
-{20368, 18, 117002, {1, 3, 3, 7, 15, 15, 67, 227, 413, 905, 1609, 2083, 4011, 10477, 22809, 61873, 96423, 119253}},
-{20369, 18, 117007, {1, 3, 1, 11, 13, 17, 37, 147, 355, 445, 619, 3181, 5939, 6953, 15859, 37979, 24723, 133037}},
-{20370, 18, 117015, {1, 1, 5, 15, 5, 25, 89, 3, 279, 569, 343, 2453, 5739, 2901, 6709, 43957, 75791, 20791}},
-{20371, 18, 117032, {1, 1, 3, 5, 13, 39, 53, 203, 75, 945, 635, 349, 2339, 2549, 23827, 7903, 128005, 14949}},
-{20372, 18, 117035, {1, 1, 7, 3, 7, 59, 59, 77, 143, 99, 1313, 3957, 3807, 15731, 20919, 60829, 105967, 226767}},
-{20373, 18, 117052, {1, 1, 3, 7, 17, 49, 27, 245, 129, 583, 1055, 741, 5607, 689, 20075, 54837, 113257, 222677}},
-{20374, 18, 117087, {1, 1, 7, 13, 17, 5, 19, 141, 205, 749, 1769, 2981, 5787, 4511, 135, 19475, 113735, 116859}},
-{20375, 18, 117139, {1, 3, 7, 1, 9, 33, 111, 139, 77, 117, 363, 1171, 2587, 1539, 30791, 10697, 6879, 104827}},
-{20376, 18, 117157, {1, 3, 3, 5, 27, 47, 49, 215, 65, 435, 1601, 231, 2047, 10405, 28409, 17013, 103909, 232051}},
-{20377, 18, 117193, {1, 3, 3, 3, 13, 19, 3, 159, 293, 675, 247, 2829, 6703, 6085, 1935, 18209, 15709, 186669}},
-{20378, 18, 117211, {1, 3, 3, 5, 21, 55, 17, 237, 121, 603, 953, 947, 6973, 15979, 11029, 12381, 12807, 131603}},
-{20379, 18, 117214, {1, 3, 5, 3, 3, 41, 121, 203, 283, 349, 1841, 115, 6567, 2131, 883, 50515, 78381, 168189}},
-{20380, 18, 117220, {1, 3, 7, 15, 5, 55, 85, 13, 77, 443, 1711, 1043, 1265, 3701, 5121, 41435, 40637, 69125}},
-{20381, 18, 117238, {1, 1, 5, 15, 15, 33, 67, 235, 3, 95, 1685, 731, 2187, 11857, 7197, 62113, 12565, 127455}},
-{20382, 18, 117248, {1, 3, 7, 7, 11, 45, 125, 231, 263, 611, 221, 195, 6347, 14029, 7823, 52295, 78879, 211441}},
-{20383, 18, 117275, {1, 3, 7, 15, 9, 63, 75, 189, 187, 449, 27, 3647, 4705, 13037, 3773, 36441, 35445, 181793}},
-{20384, 18, 117293, {1, 1, 5, 3, 31, 19, 123, 39, 297, 1017, 1191, 2227, 6085, 5117, 16569, 64743, 29329, 157279}},
-{20385, 18, 117301, {1, 1, 5, 5, 15, 47, 111, 61, 435, 657, 141, 3445, 6921, 7759, 30141, 37631, 85969, 227563}},
-{20386, 18, 117319, {1, 3, 1, 13, 27, 39, 15, 167, 151, 185, 1513, 211, 951, 12705, 25703, 29289, 120993, 156741}},
-{20387, 18, 117338, {1, 3, 7, 7, 7, 39, 19, 221, 351, 951, 1231, 1915, 3043, 189, 18977, 50149, 56583, 122147}},
-{20388, 18, 117347, {1, 1, 5, 15, 29, 37, 77, 207, 291, 851, 131, 1041, 1657, 4393, 5023, 12745, 32253, 204431}},
-{20389, 18, 117361, {1, 1, 7, 15, 11, 59, 85, 255, 67, 23, 1321, 2153, 7043, 417, 15719, 59937, 37619, 109331}},
-{20390, 18, 117380, {1, 3, 7, 15, 25, 37, 43, 15, 385, 735, 1741, 3655, 4215, 1097, 19519, 44313, 99851, 204717}},
-{20391, 18, 117389, {1, 1, 3, 7, 15, 17, 17, 105, 399, 49, 105, 159, 465, 11991, 29797, 23907, 129609, 179013}},
-{20392, 18, 117398, {1, 1, 7, 13, 9, 17, 87, 51, 391, 695, 545, 3061, 4499, 2059, 10095, 13847, 68519, 60611}},
-{20393, 18, 117435, {1, 3, 3, 1, 31, 7, 11, 233, 231, 189, 1599, 1589, 401, 8759, 17273, 43613, 48709, 253521}},
-{20394, 18, 117458, {1, 1, 1, 11, 5, 9, 27, 77, 491, 951, 579, 1635, 3241, 14497, 27149, 45001, 56769, 160731}},
-{20395, 18, 117476, {1, 3, 7, 15, 29, 11, 125, 101, 19, 971, 107, 1525, 3939, 7633, 16355, 24727, 19475, 157571}},
-{20396, 18, 117498, {1, 1, 1, 9, 25, 7, 35, 187, 321, 483, 1919, 1911, 7869, 12903, 26977, 49419, 24973, 214731}},
-{20397, 18, 117500, {1, 1, 5, 3, 23, 1, 11, 143, 315, 1015, 1367, 1555, 1041, 6655, 10481, 49275, 49575, 101061}},
-{20398, 18, 117529, {1, 3, 5, 15, 15, 59, 13, 117, 217, 975, 1821, 3829, 1545, 921, 20875, 43305, 18793, 158651}},
-{20399, 18, 117554, {1, 3, 3, 11, 23, 23, 91, 7, 29, 613, 1093, 3881, 3301, 3751, 16137, 48277, 119813, 177341}},
-{20400, 18, 117556, {1, 3, 3, 15, 7, 37, 115, 19, 147, 585, 1877, 2395, 3343, 9567, 16199, 13969, 89731, 124835}},
-{20401, 18, 117565, {1, 1, 5, 7, 29, 3, 59, 141, 375, 527, 1219, 409, 7155, 2823, 32497, 23103, 73187, 53089}},
-{20402, 18, 117580, {1, 1, 5, 3, 13, 27, 111, 63, 189, 813, 643, 19, 3461, 13891, 26651, 52395, 74729, 148397}},
-{20403, 18, 117585, {1, 3, 5, 1, 27, 61, 97, 227, 123, 829, 1559, 2523, 7737, 6047, 213, 23613, 61571, 7093}},
-{20404, 18, 117592, {1, 1, 1, 11, 17, 1, 73, 203, 391, 937, 321, 3431, 7163, 3547, 29467, 65271, 69775, 226405}},
-{20405, 18, 117597, {1, 1, 5, 15, 25, 7, 75, 199, 511, 731, 1547, 2127, 1609, 5623, 26771, 29935, 76671, 178683}},
-{20406, 18, 117616, {1, 3, 5, 15, 25, 49, 99, 23, 281, 81, 507, 1499, 5235, 9945, 14099, 5993, 319, 178581}},
-{20407, 18, 117637, {1, 3, 7, 9, 5, 13, 105, 7, 135, 827, 927, 3463, 839, 7047, 19863, 63859, 13951, 221795}},
-{20408, 18, 117644, {1, 1, 1, 13, 7, 21, 59, 9, 467, 299, 1035, 1395, 7413, 7313, 24769, 44043, 50679, 72867}},
-{20409, 18, 117659, {1, 1, 7, 1, 31, 33, 95, 155, 429, 413, 493, 2025, 2069, 551, 507, 13515, 3507, 93873}},
-{20410, 18, 117703, {1, 1, 3, 5, 3, 33, 109, 1, 299, 727, 495, 2981, 3795, 11467, 27173, 4171, 6859, 129961}},
-{20411, 18, 117704, {1, 1, 7, 9, 23, 41, 113, 103, 161, 303, 1565, 2637, 7113, 11635, 13707, 3559, 21007, 250107}},
-{20412, 18, 117727, {1, 1, 5, 13, 1, 49, 11, 87, 31, 77, 1847, 1137, 3031, 1943, 28755, 32197, 96043, 152447}},
-{20413, 18, 117738, {1, 1, 3, 7, 3, 3, 123, 65, 175, 809, 681, 2135, 5279, 7119, 4573, 19287, 90235, 183391}},
-{20414, 18, 117770, {1, 3, 1, 13, 7, 5, 25, 151, 437, 155, 1841, 219, 5641, 12097, 6153, 11, 60315, 169293}},
-{20415, 18, 117796, {1, 1, 7, 5, 21, 29, 23, 83, 35, 651, 1507, 635, 3867, 12133, 25523, 55341, 105741, 240349}},
-{20416, 18, 117799, {1, 1, 1, 15, 9, 29, 27, 151, 463, 747, 547, 577, 1263, 15235, 6695, 60849, 72231, 175671}},
-{20417, 18, 117820, {1, 3, 5, 11, 11, 43, 81, 37, 505, 509, 1325, 3295, 839, 5855, 19795, 1403, 15711, 219481}},
-{20418, 18, 117832, {1, 3, 3, 15, 25, 61, 121, 37, 201, 133, 537, 1345, 4213, 13023, 18795, 8949, 84431, 105521}},
-{20419, 18, 117840, {1, 3, 7, 11, 13, 51, 87, 245, 357, 7, 699, 2003, 5963, 1399, 69, 19083, 114585, 232313}},
-{20420, 18, 117843, {1, 1, 1, 13, 9, 29, 65, 123, 37, 885, 227, 2795, 1037, 10905, 21217, 4081, 77643, 254245}},
-{20421, 18, 117865, {1, 3, 1, 3, 25, 23, 71, 189, 253, 785, 1337, 1275, 3285, 1067, 8607, 3883, 119099, 116637}},
-{20422, 18, 117868, {1, 1, 1, 15, 19, 43, 17, 89, 257, 175, 1943, 207, 597, 9279, 405, 33209, 65221, 39557}},
-{20423, 18, 117874, {1, 1, 7, 5, 7, 47, 127, 11, 197, 871, 23, 1951, 6829, 7831, 5223, 56287, 115649, 114283}},
-{20424, 18, 117886, {1, 3, 1, 3, 1, 35, 81, 189, 19, 117, 1683, 469, 8117, 5449, 22871, 5505, 125111, 128717}},
-{20425, 18, 117962, {1, 3, 7, 5, 7, 31, 105, 57, 387, 691, 1293, 3103, 2329, 16247, 18357, 55453, 112633, 225641}},
-{20426, 18, 117967, {1, 3, 1, 3, 13, 3, 65, 25, 47, 413, 521, 3507, 1793, 14431, 22341, 39813, 46399, 204501}},
-{20427, 18, 117995, {1, 3, 1, 1, 31, 37, 21, 45, 261, 665, 1243, 1937, 5001, 3789, 26473, 20153, 107131, 75523}},
-{20428, 18, 118000, {1, 3, 5, 15, 27, 61, 109, 139, 19, 583, 353, 445, 53, 67, 20753, 57827, 116527, 55109}},
-{20429, 18, 118017, {1, 1, 3, 3, 1, 37, 113, 21, 305, 967, 1703, 2095, 1059, 2843, 22381, 24871, 24765, 52425}},
-{20430, 18, 118037, {1, 3, 7, 11, 27, 59, 111, 111, 283, 79, 1227, 3631, 4169, 5671, 7769, 56553, 75503, 206259}},
-{20431, 18, 118038, {1, 1, 5, 11, 11, 1, 127, 13, 17, 255, 1383, 2879, 6785, 289, 7061, 53067, 11539, 131405}},
-{20432, 18, 118051, {1, 1, 5, 15, 29, 27, 67, 15, 247, 689, 579, 3237, 5279, 13847, 20305, 60237, 115841, 144855}},
-{20433, 18, 118057, {1, 1, 5, 1, 9, 25, 75, 11, 83, 1015, 281, 1617, 7449, 10673, 7033, 38839, 113703, 233101}},
-{20434, 18, 118072, {1, 3, 3, 3, 23, 41, 81, 109, 199, 969, 935, 1793, 6921, 4013, 9625, 48149, 54395, 1193}},
-{20435, 18, 118080, {1, 3, 5, 7, 19, 63, 25, 201, 63, 799, 765, 533, 1417, 3199, 7773, 44247, 112207, 11783}},
-{20436, 18, 118098, {1, 3, 1, 11, 7, 25, 87, 159, 491, 749, 1157, 667, 2951, 12019, 22259, 36933, 124159, 176041}},
-{20437, 18, 118107, {1, 1, 5, 15, 21, 19, 113, 175, 129, 385, 2025, 2685, 1925, 8547, 4835, 15953, 128023, 236341}},
-{20438, 18, 118109, {1, 1, 1, 9, 13, 47, 25, 81, 389, 249, 1857, 1061, 4439, 3717, 16299, 23247, 95275, 222701}},
-{20439, 18, 118114, {1, 3, 3, 1, 3, 61, 61, 117, 159, 689, 43, 113, 4203, 7699, 27607, 37195, 63415, 90481}},
-{20440, 18, 118123, {1, 3, 1, 5, 11, 49, 73, 13, 307, 655, 645, 2765, 6079, 12687, 22417, 44713, 5247, 40265}},
-{20441, 18, 118150, {1, 1, 7, 13, 5, 55, 57, 237, 317, 101, 481, 2515, 707, 6385, 9421, 50557, 92395, 193737}},
-{20442, 18, 118159, {1, 3, 5, 1, 27, 35, 65, 107, 63, 57, 1699, 4077, 4279, 8547, 15137, 11533, 117641, 64925}},
-{20443, 18, 118164, {1, 1, 5, 1, 13, 7, 7, 141, 305, 191, 2033, 2677, 6025, 12927, 4057, 12047, 60253, 90803}},
-{20444, 18, 118173, {1, 1, 7, 3, 1, 9, 63, 233, 185, 97, 913, 187, 4321, 8951, 27669, 27035, 30029, 218725}},
-{20445, 18, 118201, {1, 1, 7, 1, 11, 59, 41, 195, 335, 551, 491, 3079, 7777, 4003, 24543, 17165, 103261, 167505}},
-{20446, 18, 118212, {1, 1, 3, 3, 9, 59, 37, 185, 289, 845, 1083, 63, 7439, 4677, 29245, 40813, 16295, 45499}},
-{20447, 18, 118246, {1, 3, 5, 1, 1, 37, 89, 5, 277, 493, 155, 1641, 5395, 11389, 26247, 2833, 103803, 74447}},
-{20448, 18, 118257, {1, 1, 3, 1, 29, 55, 83, 211, 377, 583, 1075, 2679, 7157, 11719, 1653, 5977, 52263, 45531}},
-{20449, 18, 118303, {1, 1, 5, 15, 1, 31, 89, 7, 239, 821, 887, 1319, 225, 14555, 5443, 44717, 99803, 241577}},
-{20450, 18, 118310, {1, 3, 5, 11, 7, 23, 81, 161, 67, 1011, 177, 2837, 7767, 14385, 29415, 9377, 7407, 128403}},
-{20451, 18, 118313, {1, 1, 7, 11, 3, 13, 13, 237, 199, 601, 481, 3809, 6591, 8497, 25361, 22547, 28317, 22961}},
-{20452, 18, 118324, {1, 3, 1, 1, 31, 29, 105, 161, 483, 391, 321, 1087, 4149, 8803, 22291, 24611, 114447, 33645}},
-{20453, 18, 118334, {1, 3, 1, 11, 1, 47, 41, 45, 287, 503, 169, 2265, 1835, 6609, 25245, 7069, 61137, 160653}},
-{20454, 18, 118336, {1, 1, 7, 13, 11, 39, 29, 39, 489, 205, 741, 2871, 377, 10679, 11689, 50947, 85309, 95697}},
-{20455, 18, 118339, {1, 3, 7, 7, 23, 19, 103, 15, 79, 425, 369, 2009, 4417, 11031, 2113, 36969, 73241, 120903}},
-{20456, 18, 118353, {1, 3, 1, 7, 27, 9, 43, 33, 123, 895, 223, 1045, 2701, 3339, 12099, 24449, 52973, 175671}},
-{20457, 18, 118354, {1, 3, 5, 5, 3, 1, 13, 117, 429, 167, 1361, 2299, 7565, 1153, 9259, 29209, 25747, 71005}},
-{20458, 18, 118390, {1, 3, 1, 15, 7, 7, 13, 209, 73, 523, 1549, 2545, 5583, 10209, 27205, 41243, 14217, 208993}},
-{20459, 18, 118396, {1, 3, 5, 5, 3, 29, 99, 255, 479, 297, 1319, 2171, 7321, 14425, 15869, 44449, 10917, 171165}},
-{20460, 18, 118436, {1, 3, 3, 11, 13, 49, 29, 95, 79, 987, 161, 859, 6503, 8839, 14131, 30249, 16183, 40257}},
-{20461, 18, 118453, {1, 3, 3, 11, 27, 7, 27, 33, 255, 847, 789, 3897, 2599, 16107, 22379, 1853, 102713, 197547}},
-{20462, 18, 118466, {1, 1, 3, 9, 29, 11, 107, 227, 35, 183, 639, 1585, 313, 1451, 19789, 13855, 94277, 85569}},
-{20463, 18, 118492, {1, 3, 7, 7, 25, 33, 101, 49, 137, 457, 2027, 3317, 1961, 6097, 739, 12875, 69503, 95453}},
-{20464, 18, 118506, {1, 3, 3, 11, 29, 13, 127, 3, 31, 319, 1341, 927, 5067, 13891, 31265, 41381, 49341, 160343}},
-{20465, 18, 118525, {1, 1, 3, 15, 31, 21, 93, 155, 471, 707, 1395, 2995, 867, 10353, 8137, 44267, 24823, 6113}},
-{20466, 18, 118557, {1, 3, 1, 7, 7, 33, 83, 79, 349, 687, 1045, 1183, 4441, 15199, 1953, 36395, 84691, 134939}},
-{20467, 18, 118561, {1, 1, 3, 15, 13, 21, 41, 105, 189, 439, 1171, 4005, 7641, 1597, 24317, 58749, 35539, 220647}},
-{20468, 18, 118586, {1, 1, 3, 15, 13, 39, 49, 5, 461, 613, 1633, 1951, 7959, 5733, 10061, 18829, 49505, 90033}},
-{20469, 18, 118606, {1, 3, 5, 5, 29, 25, 19, 227, 379, 525, 687, 2629, 7729, 4791, 5911, 14481, 49063, 216669}},
-{20470, 18, 118627, {1, 3, 7, 7, 7, 63, 93, 227, 79, 165, 1971, 1695, 4485, 6009, 8769, 12861, 83653, 27667}},
-{20471, 18, 118641, {1, 1, 5, 5, 25, 11, 23, 89, 363, 491, 459, 4063, 3787, 9375, 28011, 44757, 56441, 116609}},
-{20472, 18, 118654, {1, 3, 5, 9, 7, 53, 43, 149, 435, 35, 135, 1759, 3197, 7749, 12731, 28295, 25901, 125847}},
-{20473, 18, 118687, {1, 1, 3, 5, 15, 15, 1, 215, 307, 711, 1971, 2795, 677, 11921, 10303, 37997, 6653, 51295}},
-{20474, 18, 118688, {1, 1, 5, 15, 1, 59, 75, 195, 51, 215, 1303, 3023, 8023, 10951, 13015, 23513, 37029, 23581}},
-{20475, 18, 118735, {1, 1, 1, 3, 27, 3, 77, 165, 97, 499, 937, 1129, 6649, 11305, 27763, 32849, 78251, 210407}},
-{20476, 18, 118737, {1, 3, 3, 3, 9, 21, 19, 197, 339, 53, 1875, 1057, 3485, 14645, 13417, 39307, 81437, 45857}},
-{20477, 18, 118750, {1, 1, 1, 5, 19, 5, 95, 205, 399, 699, 819, 1927, 7913, 8109, 1223, 28595, 397, 81051}},
-{20478, 18, 118773, {1, 3, 7, 13, 23, 11, 37, 167, 189, 813, 1199, 3545, 655, 13239, 10469, 33895, 119025, 185361}},
-{20479, 18, 118778, {1, 1, 5, 11, 9, 13, 41, 37, 443, 269, 1199, 1347, 7081, 11273, 14389, 64083, 117901, 51903}},
-{20480, 18, 118786, {1, 1, 3, 13, 5, 17, 117, 151, 155, 637, 731, 1839, 855, 9749, 19529, 18101, 20341, 21941}},
-{20481, 18, 118809, {1, 1, 1, 11, 15, 17, 35, 9, 91, 907, 667, 853, 1455, 10097, 31277, 749, 47089, 219517}},
-{20482, 18, 118833, {1, 3, 7, 1, 27, 31, 9, 145, 309, 811, 5, 2645, 7851, 1953, 21427, 18805, 108755, 77215}},
-{20483, 18, 118853, {1, 1, 7, 3, 21, 7, 25, 233, 145, 1015, 43, 2205, 4735, 13257, 24001, 50469, 42567, 253745}},
-{20484, 18, 118854, {1, 3, 1, 15, 3, 53, 51, 45, 397, 379, 641, 895, 7569, 15783, 23923, 6147, 121395, 261853}},
-{20485, 18, 118863, {1, 1, 1, 1, 23, 47, 35, 125, 289, 65, 1875, 2309, 519, 5435, 5271, 25319, 14557, 19389}},
-{20486, 18, 118881, {1, 3, 5, 7, 27, 43, 15, 61, 357, 791, 1781, 3671, 3911, 1325, 5607, 44107, 67873, 119849}},
-{20487, 18, 118896, {1, 3, 1, 5, 25, 37, 105, 51, 491, 407, 475, 1763, 1425, 14883, 31435, 48979, 120667, 131089}},
-{20488, 18, 118917, {1, 3, 5, 13, 1, 51, 109, 161, 215, 871, 185, 2389, 7977, 6705, 14045, 45569, 44557, 114795}},
-{20489, 18, 118921, {1, 3, 7, 11, 17, 21, 111, 183, 343, 593, 447, 3995, 759, 3709, 32655, 30141, 127225, 120899}},
-{20490, 18, 118939, {1, 1, 5, 3, 17, 3, 69, 25, 113, 897, 1933, 2717, 2003, 5847, 2541, 62415, 50975, 97903}},
-{20491, 18, 118948, {1, 1, 1, 1, 9, 35, 107, 81, 257, 57, 1719, 4049, 1237, 10659, 4689, 20887, 90791, 251911}},
-{20492, 18, 118960, {1, 1, 7, 11, 1, 49, 83, 213, 169, 169, 825, 2983, 5833, 2413, 32165, 47459, 129021, 156217}},
-{20493, 18, 118970, {1, 1, 5, 13, 15, 39, 61, 93, 407, 553, 839, 4035, 6609, 6327, 945, 49625, 127867, 240161}},
-{20494, 18, 118983, {1, 1, 1, 15, 23, 47, 21, 235, 81, 431, 1819, 1141, 7973, 4623, 4539, 23201, 83111, 230857}},
-{20495, 18, 119025, {1, 3, 3, 15, 9, 15, 15, 173, 29, 803, 1453, 2621, 8095, 6639, 6607, 21471, 44785, 122271}},
-{20496, 18, 119026, {1, 3, 3, 7, 21, 5, 127, 203, 43, 581, 1925, 165, 4615, 9141, 18563, 54413, 71559, 172791}},
-{20497, 18, 119064, {1, 3, 3, 3, 27, 31, 55, 3, 381, 971, 1087, 2659, 139, 10935, 9189, 3445, 15071, 218873}},
-{20498, 18, 119069, {1, 3, 1, 3, 1, 57, 47, 71, 85, 335, 207, 225, 2931, 14721, 21431, 17199, 745, 177403}},
-{20499, 18, 119079, {1, 3, 1, 7, 7, 17, 21, 57, 345, 29, 1147, 1179, 7371, 14725, 27445, 62061, 16483, 112489}},
-{20500, 18, 119085, {1, 3, 7, 15, 23, 11, 91, 1, 1, 117, 1665, 3899, 5683, 14497, 25633, 6233, 104029, 22155}},
-{20501, 18, 119115, {1, 3, 5, 9, 1, 27, 15, 187, 37, 329, 585, 729, 5651, 15715, 4339, 1899, 90611, 195643}},
-{20502, 18, 119165, {1, 1, 3, 11, 1, 45, 95, 103, 13, 83, 319, 2295, 6333, 13469, 19237, 55985, 129725, 141699}},
-{20503, 18, 119166, {1, 1, 5, 11, 7, 41, 97, 159, 511, 617, 1545, 3023, 7919, 8437, 8345, 16701, 69053, 105047}},
-{20504, 18, 119193, {1, 3, 3, 11, 29, 35, 23, 95, 277, 931, 857, 3887, 4597, 10841, 12947, 18009, 61499, 242827}},
-{20505, 18, 119194, {1, 1, 3, 3, 7, 63, 35, 161, 125, 637, 149, 1045, 3297, 16213, 1543, 8073, 80373, 61507}},
-{20506, 18, 119199, {1, 1, 7, 5, 31, 43, 113, 189, 181, 659, 1971, 3309, 4237, 4279, 31563, 29429, 17443, 154385}},
-{20507, 18, 119215, {1, 1, 1, 13, 19, 43, 99, 91, 47, 477, 153, 3295, 6281, 779, 17169, 343, 1723, 171133}},
-{20508, 18, 119218, {1, 1, 1, 15, 9, 35, 123, 45, 417, 631, 1415, 1835, 3063, 897, 18947, 62477, 12759, 97831}},
-{20509, 18, 119241, {1, 1, 3, 13, 31, 1, 31, 139, 411, 605, 1829, 303, 3891, 15807, 7335, 44833, 87427, 62183}},
-{20510, 18, 119277, {1, 1, 3, 13, 29, 55, 97, 107, 241, 981, 1281, 3295, 6825, 15865, 4221, 24695, 54203, 252069}},
-{20511, 18, 119301, {1, 3, 7, 13, 1, 3, 33, 165, 483, 813, 127, 1717, 8077, 3521, 23465, 41705, 2769, 173233}},
-{20512, 18, 119306, {1, 3, 1, 11, 11, 51, 39, 125, 375, 825, 1775, 2923, 4903, 4779, 907, 47787, 22293, 169631}},
-{20513, 18, 119335, {1, 3, 5, 5, 13, 27, 43, 229, 267, 153, 567, 3403, 2103, 6203, 29629, 29715, 116735, 122515}},
-{20514, 18, 119344, {1, 3, 5, 13, 3, 3, 15, 5, 345, 343, 691, 3703, 361, 2019, 9309, 26909, 22897, 103555}},
-{20515, 18, 119364, {1, 3, 1, 11, 9, 25, 123, 235, 131, 469, 1749, 3681, 3841, 10157, 15183, 61413, 42207, 170359}},
-{20516, 18, 119373, {1, 1, 7, 3, 13, 9, 7, 191, 239, 417, 817, 1381, 1179, 2719, 21025, 17429, 50295, 196485}},
-{20517, 18, 119382, {1, 1, 7, 9, 9, 31, 123, 229, 381, 569, 513, 1617, 6141, 9717, 31769, 30159, 113697, 254237}},
-{20518, 18, 119410, {1, 1, 1, 15, 31, 43, 37, 17, 283, 905, 297, 1317, 1883, 11313, 5653, 55655, 121029, 149831}},
-{20519, 18, 119425, {1, 1, 1, 7, 7, 47, 83, 101, 497, 465, 1133, 3877, 5371, 3355, 17161, 50185, 120837, 255103}},
-{20520, 18, 119459, {1, 1, 3, 5, 5, 19, 3, 251, 433, 303, 1193, 1263, 2139, 473, 10725, 57725, 111411, 133687}},
-{20521, 18, 119473, {1, 1, 1, 7, 3, 1, 99, 115, 481, 395, 115, 1699, 953, 2807, 7227, 52781, 2855, 161159}},
-{20522, 18, 119486, {1, 1, 5, 9, 25, 25, 85, 3, 451, 847, 837, 3669, 4717, 3661, 29111, 43735, 49445, 100379}},
-{20523, 18, 119500, {1, 1, 7, 9, 19, 61, 67, 123, 195, 483, 1741, 2719, 7809, 5035, 30689, 21325, 56191, 46127}},
-{20524, 18, 119508, {1, 1, 3, 11, 15, 39, 101, 27, 103, 807, 1557, 1647, 1285, 16169, 20203, 57153, 60749, 71361}},
-{20525, 18, 119511, {1, 3, 3, 3, 19, 1, 93, 31, 105, 925, 689, 3061, 7451, 12667, 27179, 36295, 61011, 90321}},
-{20526, 18, 119517, {1, 3, 7, 15, 19, 35, 47, 241, 261, 935, 1033, 751, 6519, 6911, 13519, 2539, 40285, 81535}},
-{20527, 18, 119528, {1, 1, 7, 13, 17, 31, 71, 135, 167, 5, 673, 2909, 4377, 3453, 31289, 38081, 21993, 192933}},
-{20528, 18, 119533, {1, 1, 5, 15, 23, 49, 85, 127, 13, 849, 1661, 2099, 3479, 3613, 21723, 58147, 56321, 203171}},
-{20529, 18, 119539, {1, 1, 7, 15, 23, 63, 3, 207, 445, 573, 1419, 1161, 2237, 1251, 23387, 65259, 81447, 74555}},
-{20530, 18, 119542, {1, 3, 5, 3, 25, 61, 37, 25, 287, 969, 37, 1615, 7923, 4457, 27611, 8519, 113957, 237427}},
-{20531, 18, 119546, {1, 3, 5, 11, 11, 25, 117, 169, 149, 701, 139, 2835, 6029, 9067, 841, 51707, 9287, 115825}},
-{20532, 18, 119566, {1, 1, 1, 13, 31, 5, 9, 5, 313, 1023, 551, 3635, 6765, 13379, 29135, 39737, 80913, 256355}},
-{20533, 18, 119587, {1, 3, 1, 13, 9, 23, 105, 117, 181, 211, 755, 555, 2763, 13965, 14743, 63725, 16377, 203435}},
-{20534, 18, 119590, {1, 3, 1, 15, 11, 45, 111, 147, 471, 321, 381, 2921, 6423, 629, 25117, 51213, 126941, 181931}},
-{20535, 18, 119607, {1, 1, 1, 11, 1, 49, 127, 105, 315, 1, 859, 1223, 5967, 2521, 14491, 58399, 45155, 192567}},
-{20536, 18, 119614, {1, 1, 3, 9, 19, 21, 73, 93, 95, 307, 293, 3243, 4765, 2253, 16775, 29861, 3785, 90357}},
-{20537, 18, 119625, {1, 1, 3, 7, 3, 53, 33, 167, 165, 509, 1133, 169, 6951, 7715, 26317, 5249, 86235, 39649}},
-{20538, 18, 119633, {1, 1, 5, 5, 3, 47, 105, 89, 201, 1003, 877, 635, 2225, 6391, 21247, 5707, 1233, 87055}},
-{20539, 18, 119634, {1, 1, 1, 1, 9, 39, 61, 201, 435, 843, 1245, 533, 1757, 1117, 19687, 54817, 32495, 228865}},
-{20540, 18, 119643, {1, 3, 1, 1, 3, 61, 63, 117, 143, 217, 435, 1977, 2647, 7631, 12969, 50211, 26483, 256329}},
-{20541, 18, 119683, {1, 3, 3, 9, 21, 25, 113, 243, 457, 143, 833, 1505, 3071, 1845, 17867, 58205, 103819, 185215}},
-{20542, 18, 119704, {1, 1, 5, 7, 23, 51, 11, 117, 195, 535, 685, 31, 3037, 9719, 22811, 42959, 21021, 126297}},
-{20543, 18, 119710, {1, 3, 3, 1, 1, 17, 107, 245, 257, 547, 887, 45, 5243, 2439, 22191, 19503, 2143, 75187}},
-{20544, 18, 119734, {1, 3, 7, 9, 11, 27, 123, 197, 353, 151, 1115, 403, 1105, 7425, 7463, 42065, 116187, 154537}},
-{20545, 18, 119752, {1, 3, 5, 15, 23, 5, 49, 177, 223, 615, 1255, 2081, 321, 8733, 19549, 53027, 275, 62739}},
-{20546, 18, 119760, {1, 3, 7, 1, 17, 61, 3, 233, 249, 763, 369, 555, 1621, 7221, 22575, 13295, 99793, 233635}},
-{20547, 18, 119826, {1, 1, 3, 1, 27, 41, 125, 113, 47, 583, 543, 453, 1213, 14187, 1645, 35761, 110051, 197081}},
-{20548, 18, 119922, {1, 1, 7, 9, 29, 43, 105, 125, 489, 135, 153, 2279, 4079, 6731, 12055, 60181, 82563, 173991}},
-{20549, 18, 119931, {1, 3, 7, 3, 29, 1, 67, 151, 127, 625, 113, 2127, 6723, 12359, 28609, 60605, 20375, 120129}},
-{20550, 18, 119977, {1, 1, 5, 7, 9, 13, 27, 171, 129, 199, 303, 4045, 2047, 8887, 22233, 57571, 40545, 36479}},
-{20551, 18, 120015, {1, 3, 1, 7, 1, 5, 127, 203, 213, 691, 1155, 27, 5409, 13519, 6747, 42371, 37089, 145855}},
-{20552, 18, 120020, {1, 3, 3, 9, 3, 33, 119, 25, 337, 715, 1093, 987, 7157, 14975, 28595, 19021, 1243, 148707}},
-{20553, 18, 120083, {1, 3, 1, 13, 3, 41, 81, 151, 23, 787, 181, 2357, 5077, 1997, 6451, 25505, 44875, 198341}},
-{20554, 18, 120086, {1, 1, 7, 3, 5, 15, 9, 169, 337, 487, 1325, 1505, 465, 2339, 20747, 8269, 96875, 108985}},
-{20555, 18, 120101, {1, 3, 1, 7, 23, 7, 113, 181, 25, 989, 1649, 1, 823, 6793, 18729, 3599, 97951, 239609}},
-{20556, 18, 120105, {1, 3, 7, 7, 3, 63, 63, 207, 419, 355, 1133, 2979, 2071, 11699, 32565, 61347, 106475, 16893}},
-{20557, 18, 120155, {1, 1, 7, 5, 7, 3, 119, 133, 189, 341, 1571, 1559, 4309, 16203, 22459, 21019, 80375, 3453}},
-{20558, 18, 120188, {1, 1, 3, 11, 21, 21, 45, 69, 485, 21, 727, 703, 5209, 14745, 3437, 54603, 104357, 151207}},
-{20559, 18, 120195, {1, 3, 7, 5, 25, 17, 13, 147, 329, 93, 121, 315, 2779, 6921, 425, 50441, 1133, 252291}},
-{20560, 18, 120216, {1, 1, 3, 5, 5, 51, 15, 135, 323, 841, 409, 1067, 3243, 4207, 6833, 59329, 90545, 116661}},
-{20561, 18, 120228, {1, 1, 3, 15, 25, 7, 43, 147, 153, 947, 79, 1897, 4519, 14441, 27181, 38517, 71673, 158597}},
-{20562, 18, 120238, {1, 3, 3, 3, 3, 47, 109, 111, 273, 271, 741, 3999, 649, 7367, 14933, 11785, 92709, 133815}},
-{20563, 18, 120255, {1, 1, 3, 13, 5, 41, 55, 15, 409, 355, 1255, 3043, 7503, 3523, 4261, 48927, 119901, 149411}},
-{20564, 18, 120317, {1, 1, 5, 1, 11, 57, 3, 149, 409, 287, 909, 3541, 4243, 4485, 3611, 63213, 102575, 49863}},
-{20565, 18, 120327, {1, 1, 3, 7, 15, 55, 119, 185, 511, 301, 237, 3701, 3195, 1323, 27511, 44635, 45363, 117683}},
-{20566, 18, 120369, {1, 3, 3, 11, 3, 61, 125, 15, 235, 819, 467, 1097, 1055, 16343, 8329, 37807, 38663, 145625}},
-{20567, 18, 120382, {1, 1, 7, 1, 25, 49, 117, 163, 413, 509, 63, 1313, 5113, 6505, 25475, 12059, 88021, 168037}},
-{20568, 18, 120404, {1, 3, 3, 9, 9, 37, 15, 185, 359, 231, 1483, 2999, 773, 10375, 27103, 39899, 100187, 54485}},
-{20569, 18, 120414, {1, 3, 3, 1, 13, 63, 111, 79, 133, 425, 1491, 3735, 533, 13417, 5161, 11455, 16907, 132267}},
-{20570, 18, 120432, {1, 3, 1, 15, 15, 47, 57, 157, 453, 681, 1811, 1685, 4329, 131, 22763, 1017, 66637, 1673}},
-{20571, 18, 120435, {1, 3, 7, 3, 31, 5, 105, 101, 431, 983, 1333, 845, 7369, 15041, 6527, 8617, 61911, 137513}},
-{20572, 18, 120454, {1, 3, 7, 15, 3, 45, 57, 23, 393, 495, 769, 215, 3611, 12907, 20637, 52997, 88345, 37961}},
-{20573, 18, 120463, {1, 3, 5, 7, 31, 3, 85, 249, 353, 559, 1803, 959, 4625, 9413, 22339, 6071, 124765, 43973}},
-{20574, 18, 120471, {1, 3, 1, 9, 31, 15, 109, 197, 179, 293, 457, 709, 627, 7743, 1997, 59625, 36919, 252849}},
-{20575, 18, 120505, {1, 1, 7, 11, 17, 21, 89, 11, 431, 617, 1029, 2649, 1725, 2723, 18367, 46103, 108063, 221855}},
-{20576, 18, 120528, {1, 3, 7, 1, 29, 7, 81, 187, 353, 807, 965, 3655, 3255, 9139, 28619, 32127, 107901, 139099}},
-{20577, 18, 120588, {1, 1, 5, 3, 17, 9, 39, 59, 431, 829, 525, 1885, 2387, 13381, 5271, 29739, 80413, 240595}},
-{20578, 18, 120616, {1, 3, 1, 5, 1, 5, 25, 9, 193, 971, 681, 2921, 3271, 3891, 20123, 37477, 33141, 82481}},
-{20579, 18, 120630, {1, 1, 3, 5, 1, 63, 77, 93, 63, 399, 1945, 387, 5457, 7339, 13279, 34119, 129903, 12621}},
-{20580, 18, 120644, {1, 3, 3, 11, 17, 11, 117, 189, 473, 23, 13, 1261, 2153, 12181, 21075, 33179, 43355, 168293}},
-{20581, 18, 120672, {1, 3, 5, 11, 21, 13, 73, 227, 211, 939, 885, 2091, 1123, 14809, 15705, 56675, 58087, 1451}},
-{20582, 18, 120677, {1, 3, 7, 1, 15, 15, 101, 235, 287, 675, 1741, 3885, 6211, 14817, 10235, 29289, 60401, 27639}},
-{20583, 18, 120718, {1, 3, 5, 13, 13, 7, 117, 31, 143, 505, 1823, 2841, 2133, 7305, 14093, 14229, 85179, 136793}},
-{20584, 18, 120725, {1, 1, 3, 15, 27, 15, 67, 237, 315, 793, 207, 3781, 5201, 13191, 9601, 44041, 116097, 178543}},
-{20585, 18, 120730, {1, 3, 1, 9, 9, 47, 53, 225, 109, 831, 1757, 349, 6353, 15417, 16395, 36295, 10901, 122349}},
-{20586, 18, 120756, {1, 1, 1, 1, 1, 17, 109, 13, 123, 537, 1859, 3717, 4441, 4271, 29017, 13601, 18533, 216695}},
-{20587, 18, 120759, {1, 3, 3, 13, 31, 23, 45, 233, 29, 295, 761, 757, 777, 3499, 26715, 24153, 113777, 256337}},
-{20588, 18, 120765, {1, 3, 5, 7, 23, 57, 37, 179, 511, 897, 2031, 1285, 3957, 15085, 19993, 28819, 39959, 187445}},
-{20589, 18, 120795, {1, 3, 1, 15, 25, 41, 121, 227, 433, 859, 357, 3107, 3241, 879, 10763, 59473, 73145, 258493}},
-{20590, 18, 120821, {1, 3, 3, 5, 13, 9, 85, 117, 347, 161, 995, 549, 5443, 9057, 28931, 57549, 27523, 54717}},
-{20591, 18, 120850, {1, 1, 5, 13, 13, 33, 97, 37, 55, 367, 403, 2361, 5717, 4433, 26921, 14227, 69445, 100337}},
-{20592, 18, 120868, {1, 3, 5, 7, 1, 41, 89, 165, 163, 1, 685, 3577, 1079, 1057, 125, 35853, 8387, 113035}},
-{20593, 18, 120880, {1, 3, 3, 13, 3, 59, 119, 51, 325, 205, 821, 1417, 2097, 13725, 31785, 53803, 15737, 2013}},
-{20594, 18, 120885, {1, 3, 7, 7, 1, 45, 95, 221, 249, 65, 1479, 2163, 5761, 15321, 8013, 25771, 110897, 214127}},
-{20595, 18, 120892, {1, 3, 3, 5, 25, 11, 27, 29, 95, 955, 1989, 3775, 609, 7073, 4571, 38857, 92205, 156209}},
-{20596, 18, 120897, {1, 3, 1, 13, 29, 57, 97, 47, 499, 641, 587, 2125, 2257, 13911, 13993, 1715, 46233, 181279}},
-{20597, 18, 120912, {1, 1, 7, 13, 7, 55, 69, 235, 379, 269, 1969, 2733, 3677, 1707, 26999, 64041, 98111, 138691}},
-{20598, 18, 120934, {1, 1, 3, 5, 27, 63, 65, 251, 413, 903, 1307, 2941, 5649, 11271, 1935, 49389, 37995, 218197}},
-{20599, 18, 120991, {1, 3, 3, 13, 7, 1, 45, 225, 13, 169, 581, 1657, 117, 10251, 23435, 40379, 127085, 88185}},
-{20600, 18, 121004, {1, 1, 7, 5, 21, 63, 69, 37, 459, 115, 1403, 1939, 6437, 13149, 3597, 50115, 129075, 260613}},
-{20601, 18, 121021, {1, 1, 3, 5, 29, 57, 15, 223, 131, 907, 1561, 1103, 4355, 2763, 6359, 55401, 1751, 53143}},
-{20602, 18, 121022, {1, 1, 7, 11, 15, 5, 17, 159, 505, 407, 1873, 2501, 2203, 12559, 5123, 53281, 29307, 16215}},
-{20603, 18, 121036, {1, 1, 1, 15, 9, 41, 77, 145, 325, 529, 1939, 3835, 3109, 12215, 18323, 2551, 89793, 94745}},
-{20604, 18, 121041, {1, 3, 1, 9, 21, 5, 7, 57, 99, 1005, 1211, 4063, 6851, 7653, 29283, 15463, 121289, 187055}},
-{20605, 18, 121069, {1, 1, 3, 3, 13, 11, 17, 125, 173, 283, 1419, 2533, 6875, 16031, 26633, 51027, 27343, 74257}},
-{20606, 18, 121078, {1, 1, 3, 11, 29, 49, 87, 19, 367, 941, 983, 1041, 8099, 8735, 30123, 62665, 87051, 98745}},
-{20607, 18, 121126, {1, 1, 1, 15, 25, 57, 97, 177, 467, 181, 923, 3833, 5405, 14335, 23495, 48323, 70331, 136825}},
-{20608, 18, 121135, {1, 1, 1, 13, 21, 17, 29, 237, 305, 117, 1077, 2999, 1879, 6875, 19321, 10999, 130513, 160883}},
-{20609, 18, 121138, {1, 3, 7, 15, 19, 47, 89, 153, 287, 7, 1429, 1507, 2853, 4197, 11195, 33891, 59063, 189601}},
-{20610, 18, 121162, {1, 1, 3, 15, 31, 5, 113, 71, 13, 925, 147, 451, 5701, 13671, 13943, 13799, 59627, 115715}},
-{20611, 18, 121176, {1, 1, 1, 5, 13, 25, 51, 11, 409, 393, 1479, 2583, 3101, 303, 17609, 10653, 69107, 150459}},
-{20612, 18, 121186, {1, 1, 5, 7, 21, 27, 107, 77, 61, 467, 1723, 1247, 287, 1039, 25347, 18111, 24837, 42903}},
-{20613, 18, 121209, {1, 3, 5, 5, 1, 29, 57, 177, 311, 9, 819, 3235, 3887, 9679, 11849, 31755, 68467, 135587}},
-{20614, 18, 121212, {1, 1, 5, 5, 29, 15, 13, 69, 163, 709, 1405, 3835, 777, 7567, 10153, 5043, 129465, 59113}},
-{20615, 18, 121221, {1, 1, 1, 13, 3, 47, 97, 101, 179, 53, 1919, 17, 3597, 11769, 17971, 39257, 76167, 255653}},
-{20616, 18, 121225, {1, 1, 7, 5, 1, 45, 121, 223, 299, 271, 1857, 1955, 5509, 1245, 9519, 60547, 78497, 191251}},
-{20617, 18, 121228, {1, 1, 1, 11, 5, 57, 87, 113, 59, 547, 1591, 1905, 475, 4687, 27591, 43807, 9617, 70769}},
-{20618, 18, 121239, {1, 1, 7, 1, 1, 35, 35, 11, 107, 401, 827, 2271, 2131, 12751, 25771, 51311, 46897, 198655}},
-{20619, 18, 121245, {1, 3, 3, 3, 15, 29, 91, 147, 9, 611, 1739, 3211, 3883, 14205, 24073, 37445, 54451, 208123}},
-{20620, 18, 121264, {1, 3, 7, 1, 25, 53, 33, 161, 365, 651, 1263, 1623, 1767, 3789, 18013, 52133, 60119, 100859}},
-{20621, 18, 121270, {1, 3, 5, 9, 15, 9, 97, 67, 379, 981, 1323, 1095, 3701, 3257, 13647, 12511, 53375, 156689}},
-{20622, 18, 121299, {1, 1, 3, 5, 9, 23, 97, 239, 171, 501, 1549, 1029, 8019, 5023, 9439, 14223, 54433, 152855}},
-{20623, 18, 121306, {1, 1, 7, 13, 17, 35, 111, 169, 81, 599, 1673, 3461, 7905, 7925, 16311, 20327, 57109, 158719}},
-{20624, 18, 121315, {1, 1, 3, 15, 7, 33, 23, 33, 273, 987, 1489, 363, 4017, 8919, 28839, 10143, 114179, 218155}},
-{20625, 18, 121317, {1, 3, 5, 13, 29, 5, 61, 133, 65, 933, 509, 551, 7365, 3703, 15003, 27849, 64211, 140383}},
-{20626, 18, 121321, {1, 1, 1, 13, 7, 25, 49, 1, 269, 601, 251, 33, 2443, 13725, 5805, 63347, 109489, 111491}},
-{20627, 18, 121324, {1, 1, 7, 9, 31, 23, 117, 71, 371, 733, 605, 4019, 4577, 3887, 31061, 24939, 57905, 148331}},
-{20628, 18, 121330, {1, 3, 5, 1, 3, 35, 35, 227, 355, 27, 1673, 2173, 5001, 14613, 6343, 40775, 72349, 101287}},
-{20629, 18, 121339, {1, 1, 7, 15, 29, 3, 43, 77, 43, 51, 1495, 2577, 2093, 7515, 20151, 44533, 32223, 6355}},
-{20630, 18, 121346, {1, 1, 5, 5, 11, 47, 91, 221, 35, 969, 343, 3287, 857, 4851, 12599, 939, 53615, 262125}},
-{20631, 18, 121370, {1, 1, 5, 7, 29, 11, 67, 155, 317, 629, 211, 583, 1061, 13243, 13999, 45405, 18187, 99021}},
-{20632, 18, 121372, {1, 3, 7, 13, 3, 39, 5, 207, 175, 515, 1181, 739, 379, 9919, 12079, 18903, 62475, 239383}},
-{20633, 18, 121393, {1, 1, 1, 15, 25, 15, 113, 215, 281, 861, 1055, 2577, 5545, 12365, 16097, 35775, 8331, 119353}},
-{20634, 18, 121396, {1, 1, 1, 1, 25, 55, 111, 185, 485, 361, 155, 4077, 5517, 16057, 19069, 40129, 38959, 211233}},
-{20635, 18, 121414, {1, 1, 3, 3, 13, 1, 93, 129, 243, 813, 115, 177, 53, 8251, 32351, 63847, 54537, 25527}},
-{20636, 18, 121442, {1, 3, 5, 11, 25, 47, 113, 69, 285, 451, 2011, 81, 6535, 3409, 8647, 56575, 975, 149571}},
-{20637, 18, 121475, {1, 1, 7, 7, 19, 1, 75, 123, 413, 697, 41, 3179, 4075, 15967, 2477, 17549, 54193, 258657}},
-{20638, 18, 121499, {1, 1, 5, 5, 11, 23, 19, 253, 303, 255, 901, 875, 1517, 6953, 25189, 26763, 28843, 167705}},
-{20639, 18, 121512, {1, 3, 7, 7, 17, 45, 31, 79, 279, 965, 1869, 1201, 1627, 14035, 11651, 45021, 76171, 49137}},
-{20640, 18, 121518, {1, 3, 1, 15, 9, 55, 83, 59, 437, 915, 1667, 89, 2797, 1841, 29261, 23497, 55785, 102265}},
-{20641, 18, 121588, {1, 1, 5, 5, 3, 59, 17, 131, 199, 541, 1647, 2175, 4449, 6081, 10609, 39467, 72945, 32423}},
-{20642, 18, 121597, {1, 3, 1, 7, 5, 7, 85, 11, 255, 397, 87, 1661, 6523, 5699, 29407, 28015, 50783, 246625}},
-{20643, 18, 121612, {1, 3, 3, 13, 5, 61, 123, 147, 295, 37, 301, 2549, 7615, 5725, 32477, 18121, 69353, 242579}},
-{20644, 18, 121629, {1, 3, 5, 7, 9, 45, 83, 211, 475, 281, 743, 3955, 7811, 6043, 30547, 5315, 53345, 25775}},
-{20645, 18, 121630, {1, 3, 3, 5, 7, 63, 125, 43, 131, 353, 345, 1689, 5483, 5467, 13445, 13041, 68381, 134567}},
-{20646, 18, 121634, {1, 3, 5, 11, 31, 9, 123, 53, 237, 911, 349, 3737, 1867, 7375, 3031, 4191, 8697, 182255}},
-{20647, 18, 121680, {1, 1, 3, 3, 11, 11, 89, 251, 69, 93, 1241, 1719, 2227, 1793, 21683, 58099, 110831, 24835}},
-{20648, 18, 121725, {1, 1, 5, 9, 3, 57, 3, 17, 11, 217, 923, 3623, 727, 1837, 21203, 63007, 33691, 216259}},
-{20649, 18, 121798, {1, 3, 3, 9, 21, 25, 83, 115, 325, 921, 811, 303, 3555, 10669, 5837, 45585, 61923, 159061}},
-{20650, 18, 121815, {1, 3, 3, 15, 17, 29, 77, 75, 509, 363, 199, 317, 7375, 11971, 15679, 17135, 101925, 103375}},
-{20651, 18, 121822, {1, 3, 5, 5, 29, 45, 85, 151, 73, 329, 911, 3055, 2381, 4717, 5133, 58987, 59885, 226689}},
-{20652, 18, 121837, {1, 3, 5, 1, 11, 59, 17, 83, 385, 867, 215, 2275, 7247, 10613, 6493, 63843, 74483, 134271}},
-{20653, 18, 121840, {1, 1, 7, 13, 29, 25, 77, 61, 281, 439, 353, 2213, 697, 14741, 1597, 7515, 7703, 149123}},
-{20654, 18, 121869, {1, 3, 7, 7, 7, 53, 77, 21, 483, 793, 969, 123, 3581, 12489, 22943, 54573, 25785, 178419}},
-{20655, 18, 121878, {1, 3, 5, 3, 17, 59, 75, 55, 125, 569, 1625, 77, 4593, 8493, 5259, 54537, 100479, 107509}},
-{20656, 18, 121897, {1, 1, 1, 15, 5, 7, 11, 169, 349, 133, 1113, 2877, 6109, 16275, 9755, 1385, 55005, 36095}},
-{20657, 18, 121920, {1, 1, 7, 7, 21, 25, 41, 161, 11, 321, 343, 705, 4601, 12867, 21997, 25283, 78467, 159089}},
-{20658, 18, 121929, {1, 3, 7, 1, 15, 3, 71, 227, 427, 883, 1021, 1405, 7791, 12669, 9159, 30931, 105993, 40917}},
-{20659, 18, 121944, {1, 1, 5, 5, 25, 41, 93, 57, 125, 915, 701, 2589, 7147, 15369, 28307, 54635, 13253, 97177}},
-{20660, 18, 121999, {1, 3, 1, 13, 11, 63, 103, 241, 317, 927, 965, 3179, 5213, 13849, 11509, 52665, 1637, 235647}},
-{20661, 18, 122008, {1, 3, 5, 3, 31, 31, 111, 9, 339, 1017, 1715, 101, 6849, 14329, 31607, 40741, 73067, 119001}},
-{20662, 18, 122056, {1, 3, 1, 13, 3, 55, 53, 15, 185, 717, 1447, 3029, 4899, 14217, 19949, 32817, 24829, 206829}},
-{20663, 18, 122062, {1, 3, 7, 9, 21, 11, 33, 213, 5, 769, 1807, 2179, 63, 5167, 23235, 25495, 113299, 129419}},
-{20664, 18, 122067, {1, 3, 7, 11, 11, 33, 23, 125, 21, 609, 595, 1329, 6175, 15837, 3889, 57797, 81453, 211413}},
-{20665, 18, 122083, {1, 1, 5, 11, 31, 7, 13, 73, 143, 559, 1541, 275, 3349, 2987, 21797, 32921, 125395, 247667}},
-{20666, 18, 122095, {1, 1, 3, 11, 19, 1, 23, 167, 337, 75, 1597, 3591, 2705, 7323, 5957, 7317, 58945, 44625}},
-{20667, 18, 122110, {1, 1, 5, 11, 27, 19, 63, 231, 353, 645, 531, 3861, 1681, 6901, 16217, 20639, 70077, 220233}},
-{20668, 18, 122118, {1, 1, 5, 15, 31, 41, 19, 253, 147, 365, 509, 1199, 6699, 14633, 1339, 48203, 58707, 83315}},
-{20669, 18, 122127, {1, 1, 5, 7, 19, 47, 47, 17, 267, 139, 549, 803, 4625, 6851, 32141, 12891, 43785, 211361}},
-{20670, 18, 122189, {1, 3, 1, 13, 19, 35, 13, 45, 167, 627, 1449, 3041, 5043, 9279, 15889, 41675, 25769, 13835}},
-{20671, 18, 122207, {1, 3, 7, 7, 19, 47, 13, 117, 403, 79, 1623, 3741, 3255, 2301, 25, 2311, 5237, 150879}},
-{20672, 18, 122226, {1, 1, 1, 15, 29, 43, 75, 21, 237, 809, 129, 2637, 181, 15921, 30709, 61281, 82405, 232885}},
-{20673, 18, 122253, {1, 1, 3, 15, 15, 15, 55, 217, 243, 579, 945, 3993, 1875, 2425, 25045, 36729, 42935, 213703}},
-{20674, 18, 122301, {1, 3, 3, 1, 5, 59, 115, 71, 483, 327, 701, 2893, 1815, 4611, 3843, 5893, 126479, 167807}},
-{20675, 18, 122324, {1, 3, 1, 7, 17, 59, 115, 191, 3, 615, 215, 2121, 5085, 15233, 16661, 6215, 31061, 192847}},
-{20676, 18, 122337, {1, 3, 1, 1, 21, 25, 41, 195, 151, 905, 1587, 439, 3317, 2275, 4743, 33505, 1185, 254873}},
-{20677, 18, 122362, {1, 1, 3, 9, 11, 49, 37, 117, 419, 1007, 789, 1323, 345, 2047, 20697, 57063, 69167, 219393}},
-{20678, 18, 122368, {1, 3, 1, 1, 25, 49, 81, 79, 117, 1015, 1777, 2427, 527, 10139, 16261, 42587, 33933, 19749}},
-{20679, 18, 122371, {1, 1, 5, 15, 31, 43, 19, 17, 97, 591, 891, 177, 7835, 3979, 15473, 2173, 65555, 182773}},
-{20680, 18, 122378, {1, 1, 3, 15, 13, 53, 31, 179, 247, 635, 683, 423, 2981, 14401, 26385, 10935, 68497, 181703}},
-{20681, 18, 122404, {1, 3, 3, 9, 25, 55, 43, 29, 487, 969, 989, 3561, 6425, 11619, 5773, 56515, 17461, 151239}},
-{20682, 18, 122443, {1, 1, 5, 13, 3, 31, 73, 51, 213, 215, 297, 783, 697, 14197, 7277, 60697, 985, 189995}},
-{20683, 18, 122451, {1, 3, 3, 5, 9, 47, 69, 27, 15, 407, 1029, 2541, 183, 4413, 5143, 33903, 49509, 49007}},
-{20684, 18, 122457, {1, 1, 1, 3, 5, 3, 9, 165, 215, 577, 1657, 363, 737, 5483, 5955, 34533, 45861, 104645}},
-{20685, 18, 122458, {1, 1, 5, 7, 31, 27, 37, 215, 125, 915, 1297, 3095, 1529, 12737, 25675, 29355, 83939, 106765}},
-{20686, 18, 122479, {1, 1, 3, 3, 1, 49, 29, 115, 395, 647, 147, 3905, 1025, 8873, 10587, 25471, 72089, 171467}},
-{20687, 18, 122484, {1, 3, 7, 1, 21, 55, 57, 233, 487, 883, 439, 929, 1405, 13709, 2389, 20205, 17579, 9129}},
-{20688, 18, 122521, {1, 3, 5, 5, 23, 51, 55, 45, 307, 855, 933, 1443, 4757, 8719, 28401, 35189, 105329, 9211}},
-{20689, 18, 122540, {1, 3, 7, 11, 29, 17, 17, 147, 221, 997, 1433, 59, 8027, 231, 30335, 2153, 21393, 116661}},
-{20690, 18, 122545, {1, 1, 7, 3, 5, 43, 47, 155, 357, 915, 1923, 3315, 4107, 9785, 4847, 57683, 87569, 179583}},
-{20691, 18, 122552, {1, 1, 7, 7, 27, 5, 37, 95, 265, 113, 143, 3755, 5793, 5601, 16621, 54777, 15989, 158933}},
-{20692, 18, 122560, {1, 3, 1, 1, 13, 31, 113, 255, 367, 559, 1777, 4065, 8061, 15785, 10345, 54833, 95277, 159347}},
-{20693, 18, 122575, {1, 1, 1, 15, 3, 43, 85, 251, 193, 19, 1685, 271, 1779, 11901, 18983, 65361, 128217, 248051}},
-{20694, 18, 122578, {1, 3, 5, 7, 29, 21, 5, 47, 263, 913, 83, 3233, 113, 8341, 14473, 37405, 2363, 155931}},
-{20695, 18, 122605, {1, 1, 7, 15, 7, 25, 41, 39, 315, 323, 827, 1277, 1211, 4465, 21161, 36865, 6689, 139147}},
-{20696, 18, 122661, {1, 1, 1, 9, 11, 45, 81, 235, 31, 247, 77, 1877, 7119, 16007, 2225, 65, 85537, 99251}},
-{20697, 18, 122673, {1, 1, 3, 11, 19, 5, 49, 179, 345, 961, 349, 2099, 2317, 12771, 27169, 59389, 116071, 68333}},
-{20698, 18, 122722, {1, 3, 3, 5, 15, 53, 47, 177, 103, 941, 87, 2813, 7729, 8003, 7717, 40095, 74569, 106617}},
-{20699, 18, 122728, {1, 1, 7, 7, 31, 23, 105, 205, 325, 855, 1529, 3601, 7151, 15827, 16241, 18221, 55771, 139225}},
-{20700, 18, 122739, {1, 3, 5, 13, 13, 5, 95, 167, 25, 779, 1147, 221, 5055, 10943, 28077, 15131, 89501, 137407}},
-{20701, 18, 122751, {1, 3, 7, 13, 31, 3, 105, 163, 41, 823, 1493, 2985, 5589, 3543, 24683, 34469, 40595, 200875}},
-{20702, 18, 122762, {1, 3, 5, 3, 27, 35, 105, 163, 477, 667, 45, 319, 3201, 11535, 19349, 55253, 60275, 209597}},
-{20703, 18, 122769, {1, 3, 1, 11, 5, 13, 25, 225, 169, 925, 1617, 537, 891, 5583, 7181, 39953, 97537, 104019}},
-{20704, 18, 122772, {1, 3, 5, 9, 13, 1, 69, 147, 465, 259, 1219, 2407, 4015, 4883, 4333, 40441, 31289, 52989}},
-{20705, 18, 122782, {1, 3, 5, 5, 17, 29, 105, 233, 307, 807, 1535, 251, 135, 925, 6865, 59739, 112757, 208275}},
-{20706, 18, 122798, {1, 1, 1, 7, 9, 21, 49, 247, 33, 127, 1277, 1745, 139, 12165, 23517, 50235, 101003, 109031}},
-{20707, 18, 122810, {1, 3, 5, 9, 19, 7, 9, 139, 511, 901, 551, 2717, 6091, 3213, 819, 51381, 108333, 119681}},
-{20708, 18, 122812, {1, 1, 1, 3, 19, 17, 73, 19, 313, 589, 1965, 1745, 921, 4237, 12527, 10735, 110139, 171513}},
-{20709, 18, 122818, {1, 1, 5, 15, 25, 29, 15, 217, 87, 793, 419, 915, 1359, 10507, 25343, 62977, 100913, 110041}},
-{20710, 18, 122829, {1, 3, 7, 15, 15, 15, 91, 243, 441, 437, 1759, 2659, 2319, 7783, 16857, 19051, 15463, 253115}},
-{20711, 18, 122851, {1, 1, 5, 13, 15, 5, 7, 165, 355, 559, 217, 235, 3565, 12047, 2387, 62285, 73363, 238551}},
-{20712, 18, 122857, {1, 3, 7, 11, 5, 5, 69, 205, 179, 815, 335, 979, 2129, 6221, 31987, 13623, 23103, 24373}},
-{20713, 18, 122868, {1, 1, 7, 11, 31, 51, 55, 93, 195, 219, 825, 2919, 4495, 5927, 11813, 16415, 121595, 188613}},
-{20714, 18, 122893, {1, 1, 3, 1, 3, 11, 73, 45, 141, 219, 337, 2569, 6549, 3699, 2417, 2945, 19389, 82561}},
-{20715, 18, 122894, {1, 3, 1, 13, 5, 47, 47, 81, 11, 57, 1965, 2173, 3209, 10617, 19887, 5571, 61403, 37401}},
-{20716, 18, 122902, {1, 3, 3, 7, 3, 5, 99, 253, 287, 655, 813, 3365, 2387, 8951, 1561, 37637, 97625, 148699}},
-{20717, 18, 122921, {1, 1, 3, 5, 9, 31, 49, 7, 55, 607, 1489, 3229, 5871, 1271, 22751, 32309, 16125, 93409}},
-{20718, 18, 122959, {1, 3, 1, 5, 19, 35, 29, 233, 407, 297, 1465, 3089, 7535, 7221, 24469, 42653, 65719, 196771}},
-{20719, 18, 122984, {1, 1, 7, 13, 17, 19, 37, 45, 211, 545, 963, 79, 13, 8319, 8045, 24975, 122749, 25845}},
-{20720, 18, 123001, {1, 3, 5, 3, 23, 23, 53, 101, 363, 49, 1351, 3419, 1603, 10795, 5289, 63695, 113911, 228301}},
-{20721, 18, 123038, {1, 3, 7, 9, 15, 59, 125, 59, 11, 397, 693, 397, 3829, 14349, 13973, 54739, 22093, 216009}},
-{20722, 18, 123076, {1, 1, 1, 13, 5, 63, 21, 23, 421, 35, 589, 803, 6193, 11375, 9501, 34441, 68421, 120109}},
-{20723, 18, 123100, {1, 3, 3, 7, 23, 25, 79, 203, 177, 173, 175, 809, 4331, 6953, 4999, 34345, 94481, 88683}},
-{20724, 18, 123107, {1, 3, 3, 3, 1, 51, 109, 195, 83, 747, 63, 325, 927, 1757, 32055, 37185, 22697, 41509}},
-{20725, 18, 123122, {1, 3, 5, 13, 1, 63, 45, 73, 121, 445, 1935, 3373, 563, 7503, 17941, 60313, 42219, 220917}},
-{20726, 18, 123139, {1, 3, 5, 13, 27, 31, 7, 83, 109, 387, 447, 1691, 1301, 7449, 8075, 30713, 87207, 84855}},
-{20727, 18, 123175, {1, 3, 1, 5, 25, 51, 83, 11, 261, 977, 1415, 2973, 1789, 12641, 16279, 4225, 44237, 173561}},
-{20728, 18, 123190, {1, 1, 5, 15, 17, 47, 105, 199, 83, 705, 1215, 2759, 7509, 10407, 4005, 4575, 65961, 209933}},
-{20729, 18, 123201, {1, 3, 1, 13, 27, 3, 5, 199, 405, 515, 291, 3399, 1497, 14755, 30229, 35075, 111585, 16633}},
-{20730, 18, 123219, {1, 1, 1, 13, 17, 53, 93, 161, 447, 903, 947, 1871, 3597, 10575, 18389, 48551, 65229, 32591}},
-{20731, 18, 123232, {1, 3, 5, 11, 9, 7, 53, 155, 299, 523, 1653, 3517, 2725, 9485, 27099, 47895, 30169, 260463}},
-{20732, 18, 123255, {1, 1, 3, 13, 11, 45, 31, 183, 445, 21, 313, 2597, 195, 16053, 7323, 52951, 25919, 9323}},
-{20733, 18, 123285, {1, 1, 1, 15, 1, 35, 15, 115, 53, 561, 1141, 3261, 83, 2547, 8925, 43455, 112755, 94157}},
-{20734, 18, 123328, {1, 1, 3, 5, 27, 25, 81, 51, 209, 87, 379, 3167, 4953, 13885, 20159, 103, 115363, 123585}},
-{20735, 18, 123385, {1, 3, 5, 1, 25, 29, 107, 225, 77, 435, 2009, 4069, 3703, 8855, 14101, 61683, 16993, 110823}},
-{20736, 18, 123397, {1, 3, 7, 3, 31, 25, 51, 117, 397, 271, 89, 3571, 2357, 4923, 16303, 2357, 107775, 73809}},
-{20737, 18, 123404, {1, 1, 3, 1, 29, 21, 33, 67, 363, 753, 915, 3715, 2013, 8439, 5779, 267, 32687, 104283}},
-{20738, 18, 123419, {1, 3, 1, 11, 11, 7, 31, 43, 339, 917, 2005, 759, 4285, 1933, 4341, 19111, 130651, 122853}},
-{20739, 18, 123435, {1, 1, 5, 1, 17, 63, 85, 63, 387, 127, 1313, 619, 6525, 9003, 10915, 64507, 13175, 45219}},
-{20740, 18, 123437, {1, 3, 7, 9, 25, 15, 43, 13, 411, 391, 571, 527, 8175, 10849, 20093, 2987, 29869, 77207}},
-{20741, 18, 123443, {1, 1, 5, 3, 29, 53, 105, 57, 91, 977, 1103, 2977, 5617, 7203, 26717, 28463, 55909, 59943}},
-{20742, 18, 123500, {1, 3, 1, 7, 1, 47, 111, 215, 189, 377, 11, 871, 2267, 5705, 8165, 38895, 71025, 10921}},
-{20743, 18, 123506, {1, 1, 7, 9, 29, 55, 1, 103, 505, 697, 317, 3209, 3643, 13689, 8499, 14671, 67937, 100467}},
-{20744, 18, 123511, {1, 3, 1, 5, 25, 15, 99, 199, 117, 957, 1421, 1719, 5185, 15247, 28615, 2657, 46867, 190135}},
-{20745, 18, 123512, {1, 1, 7, 9, 27, 55, 81, 47, 15, 497, 537, 857, 2905, 1909, 3341, 32625, 123189, 21875}},
-{20746, 18, 123518, {1, 3, 1, 3, 19, 51, 97, 143, 305, 1021, 543, 829, 7593, 8101, 6337, 4869, 19177, 38981}},
-{20747, 18, 123522, {1, 3, 3, 15, 9, 37, 51, 193, 295, 731, 809, 4065, 3377, 15303, 12505, 11327, 76191, 139899}},
-{20748, 18, 123545, {1, 1, 5, 1, 3, 19, 5, 223, 379, 7, 755, 1127, 505, 9429, 27409, 50817, 97599, 179019}},
-{20749, 18, 123572, {1, 3, 5, 3, 5, 11, 83, 119, 3, 311, 405, 2401, 1821, 1381, 4567, 44079, 61903, 183583}},
-{20750, 18, 123587, {1, 3, 7, 9, 7, 11, 107, 95, 271, 537, 335, 3079, 6695, 1163, 32055, 44985, 29075, 94235}},
-{20751, 18, 123594, {1, 3, 7, 7, 7, 57, 59, 85, 199, 563, 1835, 351, 7675, 2601, 3717, 57975, 92529, 101511}},
-{20752, 18, 123607, {1, 1, 1, 5, 17, 5, 97, 43, 101, 141, 1511, 199, 7157, 3169, 24815, 55653, 104195, 37951}},
-{20753, 18, 123608, {1, 1, 1, 11, 23, 29, 41, 47, 447, 583, 773, 859, 1657, 8707, 16709, 53477, 42037, 186809}},
-{20754, 18, 123630, {1, 1, 1, 13, 13, 5, 85, 9, 213, 511, 1003, 811, 2271, 14715, 21423, 48127, 50613, 214031}},
-{20755, 18, 123635, {1, 1, 3, 5, 7, 31, 87, 101, 297, 853, 1599, 1521, 4965, 9655, 23543, 62277, 11231, 49931}},
-{20756, 18, 123659, {1, 1, 7, 7, 19, 31, 9, 165, 207, 919, 739, 3849, 2121, 867, 3233, 40867, 75721, 5327}},
-{20757, 18, 123692, {1, 3, 7, 1, 17, 3, 27, 13, 431, 283, 465, 1427, 1937, 15601, 21793, 9315, 54285, 196453}},
-{20758, 18, 123695, {1, 1, 7, 3, 17, 39, 65, 137, 511, 19, 1357, 3373, 5227, 2485, 1151, 25061, 117507, 119219}},
-{20759, 18, 123700, {1, 3, 3, 9, 9, 23, 13, 235, 505, 625, 115, 3859, 6943, 14719, 6363, 14957, 28241, 187989}},
-{20760, 18, 123730, {1, 3, 7, 13, 11, 31, 23, 39, 463, 441, 1145, 417, 4177, 1655, 26491, 16895, 26263, 198157}},
-{20761, 18, 123748, {1, 3, 3, 7, 25, 55, 121, 157, 131, 537, 1891, 2367, 1717, 2331, 20251, 8679, 62657, 121957}},
-{20762, 18, 123751, {1, 1, 1, 11, 7, 43, 59, 101, 333, 961, 569, 1603, 3009, 6539, 9627, 5759, 44401, 127613}},
-{20763, 18, 123770, {1, 3, 3, 3, 1, 27, 15, 135, 235, 215, 627, 2427, 2647, 3201, 22873, 64445, 32635, 16587}},
-{20764, 18, 123793, {1, 3, 7, 7, 5, 49, 63, 103, 467, 897, 117, 1149, 6045, 5003, 5005, 6183, 90815, 190909}},
-{20765, 18, 123800, {1, 1, 3, 3, 31, 43, 45, 227, 363, 409, 1097, 3155, 1519, 14461, 29377, 19577, 52595, 94041}},
-{20766, 18, 123803, {1, 3, 1, 1, 3, 25, 83, 243, 57, 243, 389, 1427, 5197, 13125, 18571, 17845, 74961, 125569}},
-{20767, 18, 123851, {1, 3, 5, 5, 1, 39, 11, 175, 97, 1001, 143, 3653, 5887, 5845, 5691, 5433, 62629, 176261}},
-{20768, 18, 123859, {1, 1, 1, 13, 11, 41, 41, 155, 17, 823, 1507, 733, 5663, 13657, 24133, 9971, 27179, 108075}},
-{20769, 18, 123866, {1, 1, 7, 9, 19, 9, 103, 29, 427, 363, 931, 3959, 1629, 5127, 14807, 61937, 127175, 237233}},
-{20770, 18, 123868, {1, 1, 1, 5, 29, 53, 51, 229, 123, 1001, 697, 411, 4669, 5051, 18447, 55437, 129269, 72613}},
-{20771, 18, 123877, {1, 3, 7, 3, 19, 53, 111, 131, 255, 547, 653, 2839, 1447, 14397, 5707, 23773, 127897, 135177}},
-{20772, 18, 123884, {1, 3, 3, 5, 21, 37, 53, 219, 359, 341, 489, 2477, 3383, 6931, 7753, 2619, 114267, 63271}},
-{20773, 18, 123909, {1, 1, 3, 15, 15, 15, 95, 171, 301, 563, 603, 593, 4037, 7305, 10849, 11753, 103087, 74887}},
-{20774, 18, 123910, {1, 1, 5, 3, 11, 51, 105, 35, 155, 643, 569, 1697, 1679, 7547, 19289, 7065, 57359, 142855}},
-{20775, 18, 123919, {1, 1, 7, 15, 23, 55, 17, 67, 375, 559, 355, 165, 93, 973, 22831, 48027, 98435, 59945}},
-{20776, 18, 123927, {1, 3, 7, 3, 5, 43, 9, 253, 111, 819, 45, 3461, 4821, 14735, 14469, 29793, 30681, 26359}},
-{20777, 18, 123937, {1, 3, 3, 5, 15, 1, 39, 233, 63, 287, 131, 3453, 427, 4929, 30085, 18583, 50119, 262101}},
-{20778, 18, 123950, {1, 3, 7, 9, 31, 7, 127, 157, 287, 57, 1091, 1989, 5045, 13071, 27705, 58125, 85317, 66649}},
-{20779, 18, 123957, {1, 1, 1, 15, 17, 29, 25, 223, 311, 489, 1901, 3197, 1813, 10097, 31915, 54871, 32289, 227001}},
-{20780, 18, 123979, {1, 3, 7, 5, 31, 35, 69, 87, 131, 963, 1125, 1109, 8037, 3257, 27655, 50999, 3715, 57851}},
-{20781, 18, 123996, {1, 1, 5, 5, 27, 7, 119, 29, 425, 721, 541, 3069, 3349, 13623, 12293, 51395, 14033, 61545}},
-{20782, 18, 124040, {1, 3, 7, 3, 17, 49, 103, 115, 387, 729, 1389, 2257, 3273, 3375, 23143, 2835, 28071, 79533}},
-{20783, 18, 124054, {1, 1, 3, 7, 9, 19, 55, 159, 261, 467, 17, 2595, 3947, 7045, 193, 23629, 89067, 81197}},
-{20784, 18, 124063, {1, 1, 1, 15, 13, 39, 103, 195, 251, 769, 1003, 2707, 3263, 8451, 8007, 53789, 112653, 258717}},
-{20785, 18, 124067, {1, 3, 5, 1, 3, 21, 29, 217, 125, 779, 1597, 513, 2677, 3979, 31903, 64813, 69963, 92887}},
-{20786, 18, 124088, {1, 1, 3, 11, 11, 59, 81, 237, 447, 703, 41, 3369, 3547, 14935, 31693, 52005, 74149, 131039}},
-{20787, 18, 124101, {1, 1, 3, 1, 23, 1, 33, 93, 275, 847, 921, 2745, 533, 8975, 30529, 46809, 98975, 75541}},
-{20788, 18, 124154, {1, 1, 7, 7, 15, 1, 3, 213, 71, 1009, 1951, 3015, 713, 9365, 21949, 60983, 117633, 225387}},
-{20789, 18, 124162, {1, 1, 1, 11, 31, 27, 59, 179, 231, 635, 1555, 2765, 31, 15065, 22719, 59251, 84733, 96769}},
-{20790, 18, 124167, {1, 3, 7, 3, 19, 5, 35, 207, 317, 735, 943, 3987, 4021, 11229, 13015, 713, 125167, 55887}},
-{20791, 18, 124176, {1, 1, 3, 1, 27, 49, 81, 17, 253, 633, 43, 2953, 3151, 8429, 30625, 28551, 126683, 175087}},
-{20792, 18, 124195, {1, 3, 3, 3, 9, 53, 111, 245, 57, 557, 945, 2957, 7669, 12537, 17291, 9713, 87727, 44739}},
-{20793, 18, 124230, {1, 3, 1, 1, 5, 39, 77, 127, 87, 687, 1485, 1555, 2567, 13551, 17075, 24003, 47627, 129813}},
-{20794, 18, 124267, {1, 3, 5, 9, 25, 35, 87, 233, 439, 563, 1719, 419, 4459, 4285, 25157, 943, 111543, 232107}},
-{20795, 18, 124346, {1, 3, 5, 11, 1, 13, 97, 153, 459, 551, 73, 2087, 3985, 4661, 15603, 22211, 123163, 187233}},
-{20796, 18, 124389, {1, 1, 7, 13, 17, 59, 5, 219, 353, 441, 387, 441, 3009, 485, 20081, 38023, 50659, 159243}},
-{20797, 18, 124418, {1, 3, 1, 7, 21, 31, 117, 49, 227, 677, 417, 1153, 1611, 1669, 25161, 52223, 15109, 114759}},
-{20798, 18, 124420, {1, 1, 7, 9, 19, 13, 111, 7, 1, 701, 731, 2075, 685, 15679, 19149, 44315, 41719, 243975}},
-{20799, 18, 124454, {1, 3, 3, 7, 15, 63, 59, 105, 327, 39, 1497, 2407, 2865, 7065, 9957, 20031, 45359, 73657}},
-{20800, 18, 124490, {1, 3, 1, 13, 7, 3, 55, 221, 443, 953, 15, 2455, 4681, 16247, 18179, 44731, 41323, 172621}},
-{20801, 18, 124503, {1, 1, 3, 9, 1, 27, 65, 167, 115, 137, 819, 2129, 3393, 5901, 11735, 62753, 14941, 21425}},
-{20802, 18, 124519, {1, 3, 7, 11, 7, 9, 41, 175, 237, 481, 59, 265, 2135, 9419, 3937, 55959, 48343, 172549}},
-{20803, 18, 124533, {1, 1, 1, 13, 23, 33, 105, 87, 461, 297, 1345, 3715, 7715, 16369, 19017, 15141, 10873, 109641}},
-{20804, 18, 124544, {1, 3, 5, 1, 11, 1, 13, 41, 447, 511, 447, 2295, 2401, 14171, 16269, 50453, 40361, 205857}},
-{20805, 18, 124589, {1, 1, 3, 3, 27, 7, 35, 193, 113, 341, 335, 2113, 343, 4575, 20863, 40383, 86787, 142603}},
-{20806, 18, 124616, {1, 1, 7, 11, 17, 25, 51, 89, 341, 237, 1233, 1505, 7401, 6887, 26897, 20127, 51077, 107559}},
-{20807, 18, 124630, {1, 1, 1, 15, 9, 59, 29, 115, 339, 785, 201, 947, 1501, 6883, 169, 44059, 17527, 197623}},
-{20808, 18, 124636, {1, 3, 7, 3, 17, 59, 15, 5, 379, 347, 821, 4047, 3565, 13689, 23275, 27901, 121401, 43077}},
-{20809, 18, 124645, {1, 1, 1, 7, 15, 11, 35, 29, 59, 99, 181, 3035, 3239, 1553, 32319, 64195, 115247, 149211}},
-{20810, 18, 124652, {1, 1, 5, 3, 31, 49, 87, 177, 231, 167, 373, 1125, 5919, 4805, 31983, 42873, 30169, 91853}},
-{20811, 18, 124663, {1, 1, 5, 15, 7, 63, 37, 15, 459, 449, 1835, 1769, 2527, 2577, 4251, 62459, 76699, 81721}},
-{20812, 18, 124667, {1, 1, 1, 3, 21, 15, 19, 183, 423, 827, 341, 2101, 3797, 7103, 30845, 24511, 115337, 117019}},
-{20813, 18, 124690, {1, 3, 5, 5, 19, 1, 97, 13, 491, 51, 445, 1987, 7481, 2613, 23141, 36603, 26917, 177397}},
-{20814, 18, 124755, {1, 1, 1, 5, 15, 43, 21, 167, 259, 989, 1937, 1519, 2201, 13973, 18031, 31583, 57557, 252737}},
-{20815, 18, 124757, {1, 3, 3, 7, 31, 11, 89, 53, 279, 83, 1247, 1221, 5499, 1199, 361, 22269, 88633, 134975}},
-{20816, 18, 124819, {1, 1, 3, 5, 9, 5, 113, 41, 143, 655, 1147, 2043, 4229, 10523, 1453, 1735, 76259, 30607}},
-{20817, 18, 124862, {1, 1, 1, 11, 5, 7, 9, 155, 221, 619, 813, 3111, 6039, 10789, 10905, 33285, 62841, 229217}},
-{20818, 18, 124864, {1, 3, 5, 9, 19, 19, 123, 65, 419, 597, 87, 3843, 4857, 15903, 23655, 13023, 8389, 230803}},
-{20819, 18, 124874, {1, 3, 3, 15, 9, 19, 51, 223, 197, 759, 139, 59, 6547, 1043, 5077, 55267, 23681, 17099}},
-{20820, 18, 124882, {1, 1, 3, 3, 15, 43, 63, 85, 227, 961, 1043, 1069, 6557, 7499, 31639, 4345, 26991, 132783}},
-{20821, 18, 124903, {1, 3, 1, 1, 25, 33, 59, 219, 435, 105, 1001, 323, 2729, 12517, 16607, 57533, 101167, 53829}},
-{20822, 18, 124915, {1, 3, 7, 7, 9, 55, 3, 247, 303, 453, 861, 817, 705, 14337, 15965, 28867, 126763, 204005}},
-{20823, 18, 124938, {1, 1, 3, 7, 1, 39, 15, 39, 359, 313, 1753, 2835, 387, 16223, 10945, 19481, 19995, 29989}},
-{20824, 18, 124945, {1, 1, 1, 5, 3, 31, 103, 123, 493, 1023, 119, 2175, 2273, 11637, 21605, 23349, 100759, 41227}},
-{20825, 18, 124973, {1, 3, 7, 13, 5, 13, 17, 7, 341, 945, 621, 1421, 3893, 5825, 26777, 35497, 13791, 25415}},
-{20826, 18, 124986, {1, 1, 5, 1, 19, 27, 39, 7, 177, 749, 1217, 2133, 6913, 13489, 23713, 1085, 31529, 179741}},
-{20827, 18, 124991, {1, 3, 3, 3, 15, 21, 5, 145, 281, 131, 1347, 19, 4917, 8655, 2515, 36927, 56551, 202039}},
-{20828, 18, 125011, {1, 1, 3, 7, 27, 31, 33, 255, 511, 195, 1493, 2221, 2157, 9303, 3957, 14163, 70435, 215763}},
-{20829, 18, 125014, {1, 3, 3, 15, 31, 41, 33, 37, 239, 865, 375, 2217, 809, 11961, 29393, 52145, 76223, 202623}},
-{20830, 18, 125082, {1, 3, 5, 11, 5, 57, 73, 193, 341, 843, 1817, 231, 65, 5941, 29693, 31751, 57081, 180977}},
-{20831, 18, 125105, {1, 3, 1, 9, 29, 57, 85, 107, 343, 891, 465, 2413, 1965, 7303, 7461, 25857, 110517, 16995}},
-{20832, 18, 125163, {1, 1, 7, 15, 7, 49, 121, 211, 253, 511, 1385, 1205, 33, 7713, 20059, 47353, 3267, 215759}},
-{20833, 18, 125165, {1, 1, 3, 9, 15, 63, 45, 155, 415, 589, 651, 3707, 5429, 4497, 13733, 21231, 18953, 28671}},
-{20834, 18, 125205, {1, 1, 5, 15, 7, 57, 31, 109, 427, 921, 629, 3439, 7615, 4535, 1507, 58931, 49597, 214397}},
-{20835, 18, 125219, {1, 3, 3, 5, 21, 35, 9, 241, 67, 767, 659, 1639, 7797, 5209, 14851, 55311, 108549, 175937}},
-{20836, 18, 125239, {1, 1, 7, 15, 21, 61, 13, 47, 267, 269, 1169, 257, 2481, 8345, 1061, 28119, 127197, 95379}},
-{20837, 18, 125240, {1, 1, 3, 7, 21, 35, 121, 223, 145, 665, 1389, 2105, 5499, 1377, 32417, 39027, 5335, 248315}},
-{20838, 18, 125257, {1, 3, 3, 9, 13, 33, 57, 225, 123, 703, 1049, 709, 7347, 11317, 12339, 23247, 62157, 85931}},
-{20839, 18, 125284, {1, 3, 3, 3, 5, 3, 105, 115, 13, 675, 757, 987, 6429, 13017, 21347, 38829, 82153, 220677}},
-{20840, 18, 125302, {1, 3, 1, 13, 5, 51, 75, 205, 7, 561, 207, 1133, 3303, 1889, 17093, 5933, 48109, 244387}},
-{20841, 18, 125327, {1, 3, 3, 7, 11, 11, 71, 243, 235, 941, 1875, 2387, 1139, 16275, 4537, 18791, 67927, 156759}},
-{20842, 18, 125336, {1, 3, 5, 5, 11, 35, 29, 5, 351, 223, 847, 1539, 4903, 7619, 24907, 37071, 57899, 32981}},
-{20843, 18, 125355, {1, 3, 1, 7, 23, 7, 119, 17, 123, 845, 1423, 2995, 3595, 13287, 31217, 33939, 6891, 156477}},
-{20844, 18, 125363, {1, 1, 1, 9, 11, 55, 121, 85, 175, 757, 1093, 513, 1117, 14049, 22377, 4623, 38511, 51391}},
-{20845, 18, 125365, {1, 1, 7, 1, 17, 1, 7, 185, 173, 841, 61, 2735, 6679, 7617, 17309, 58047, 11791, 228635}},
-{20846, 18, 125372, {1, 1, 5, 5, 1, 1, 61, 57, 37, 857, 531, 2655, 1907, 4245, 3047, 50489, 93447, 116637}},
-{20847, 18, 125378, {1, 3, 5, 7, 27, 47, 121, 95, 73, 63, 539, 137, 1765, 4659, 31141, 24495, 109541, 16421}},
-{20848, 18, 125383, {1, 3, 7, 13, 13, 25, 47, 45, 97, 243, 1509, 3539, 4791, 5627, 31981, 57663, 65359, 32183}},
-{20849, 18, 125387, {1, 1, 1, 7, 15, 57, 117, 249, 183, 849, 557, 833, 5751, 8035, 3371, 11389, 125581, 248799}},
-{20850, 18, 125390, {1, 3, 1, 15, 13, 31, 59, 243, 17, 473, 289, 1527, 649, 2807, 6183, 6173, 74381, 261673}},
-{20851, 18, 125414, {1, 1, 7, 7, 19, 17, 95, 81, 191, 487, 2023, 307, 3261, 13885, 9285, 30831, 114009, 26483}},
-{20852, 18, 125435, {1, 1, 3, 11, 17, 21, 85, 193, 477, 267, 393, 39, 5793, 8621, 25379, 9721, 13947, 44235}},
-{20853, 18, 125466, {1, 1, 7, 5, 27, 33, 93, 9, 471, 751, 1279, 695, 2625, 7061, 29577, 5403, 80705, 77895}},
-{20854, 18, 125481, {1, 1, 3, 11, 7, 25, 125, 9, 233, 935, 1897, 3685, 595, 15499, 43, 29251, 18029, 250231}},
-{20855, 18, 125522, {1, 1, 5, 1, 9, 55, 125, 179, 287, 371, 233, 149, 5639, 5737, 25251, 103, 117015, 35579}},
-{20856, 18, 125531, {1, 1, 5, 9, 17, 33, 69, 15, 209, 521, 1083, 2469, 679, 9307, 31539, 63889, 48825, 126327}},
-{20857, 18, 125544, {1, 3, 5, 15, 15, 41, 105, 121, 21, 935, 721, 445, 6759, 4227, 15227, 54933, 69589, 2689}},
-{20858, 18, 125564, {1, 1, 7, 15, 1, 15, 111, 141, 279, 1013, 825, 1069, 3793, 12929, 153, 11463, 87759, 179987}},
-{20859, 18, 125588, {1, 1, 1, 9, 15, 59, 109, 103, 223, 695, 1979, 1241, 2559, 8627, 10559, 53319, 94311, 245193}},
-{20860, 18, 125602, {1, 1, 5, 3, 1, 41, 51, 129, 297, 15, 637, 2489, 343, 13549, 7707, 36757, 55703, 161043}},
-{20861, 18, 125613, {1, 3, 5, 1, 13, 35, 119, 219, 319, 733, 789, 1343, 8035, 15049, 981, 14477, 13717, 177481}},
-{20862, 18, 125621, {1, 1, 1, 11, 5, 17, 3, 43, 129, 705, 1701, 3635, 1201, 12283, 27443, 54257, 102281, 211859}},
-{20863, 18, 125648, {1, 3, 1, 13, 7, 63, 9, 45, 283, 41, 801, 131, 2797, 13329, 19011, 21055, 122965, 7961}},
-{20864, 18, 125651, {1, 3, 3, 5, 9, 27, 99, 129, 499, 523, 1939, 3661, 455, 12601, 11723, 3727, 32671, 78251}},
-{20865, 18, 125681, {1, 3, 7, 5, 9, 57, 63, 47, 49, 745, 945, 2927, 6659, 1023, 9991, 55379, 105295, 259901}},
-{20866, 18, 125719, {1, 1, 3, 3, 3, 47, 15, 237, 193, 409, 1165, 3581, 719, 3049, 14679, 31559, 7825, 96083}},
-{20867, 18, 125773, {1, 1, 7, 11, 9, 55, 29, 123, 163, 415, 2013, 97, 1471, 1409, 28867, 50405, 99417, 57113}},
-{20868, 18, 125774, {1, 1, 7, 15, 5, 17, 57, 123, 25, 119, 1699, 1289, 3139, 7177, 13465, 33583, 34517, 182669}},
-{20869, 18, 125779, {1, 1, 3, 1, 15, 45, 79, 7, 461, 223, 691, 3071, 6233, 14997, 4083, 65391, 60571, 82929}},
-{20870, 18, 125786, {1, 3, 5, 1, 25, 39, 89, 105, 497, 685, 1921, 133, 4849, 8467, 609, 62183, 123787, 223025}},
-{20871, 18, 125792, {1, 1, 1, 13, 3, 57, 117, 241, 501, 107, 1253, 3097, 603, 10645, 3395, 13997, 112527, 208263}},
-{20872, 18, 125822, {1, 1, 7, 9, 7, 31, 25, 97, 205, 785, 517, 549, 6841, 7097, 9635, 17151, 57135, 105469}},
-{20873, 18, 125828, {1, 3, 7, 1, 25, 35, 43, 75, 179, 1023, 1921, 1529, 2791, 6747, 9135, 61801, 46729, 26821}},
-{20874, 18, 125831, {1, 1, 3, 1, 31, 49, 107, 219, 285, 501, 1503, 3103, 5257, 14561, 31493, 7753, 34375, 260357}},
-{20875, 18, 125837, {1, 3, 7, 13, 15, 7, 75, 57, 329, 67, 1541, 2445, 3069, 6723, 10189, 22913, 110781, 243765}},
-{20876, 18, 125880, {1, 1, 5, 3, 5, 45, 47, 39, 493, 787, 1019, 3933, 535, 1763, 139, 45967, 123167, 115019}},
-{20877, 18, 125891, {1, 3, 1, 3, 23, 59, 93, 139, 349, 973, 1401, 2109, 701, 461, 19199, 21733, 80009, 37239}},
-{20878, 18, 125922, {1, 1, 3, 5, 3, 39, 117, 77, 257, 117, 1991, 3371, 509, 3963, 14579, 62459, 52281, 99209}},
-{20879, 18, 125928, {1, 3, 1, 15, 29, 47, 73, 157, 429, 497, 39, 123, 4851, 12871, 4567, 29453, 90777, 188683}},
-{20880, 18, 125931, {1, 3, 3, 1, 17, 25, 5, 247, 61, 81, 1555, 2167, 6003, 15911, 16023, 7841, 50731, 229163}},
-{20881, 18, 125941, {1, 1, 5, 9, 9, 39, 89, 37, 105, 133, 333, 2863, 7249, 2355, 9407, 28145, 25923, 68827}},
-{20882, 18, 125948, {1, 3, 7, 13, 15, 55, 11, 93, 197, 447, 1793, 1793, 4639, 1869, 1711, 1439, 15899, 106931}},
-{20883, 18, 125960, {1, 1, 5, 13, 23, 11, 67, 155, 511, 363, 1073, 2249, 719, 11167, 7953, 21699, 55735, 47353}},
-{20884, 18, 125973, {1, 1, 3, 3, 21, 59, 123, 227, 65, 695, 1769, 4057, 7071, 1827, 13639, 45711, 84019, 96897}},
-{20885, 18, 126014, {1, 3, 1, 11, 25, 51, 57, 139, 147, 589, 1565, 511, 3629, 7329, 9565, 62893, 85789, 112047}},
-{20886, 18, 126016, {1, 3, 5, 5, 23, 11, 93, 75, 25, 947, 1489, 4081, 3395, 4655, 27853, 41299, 89447, 100971}},
-{20887, 18, 126036, {1, 3, 5, 11, 25, 63, 93, 227, 411, 49, 403, 437, 1739, 8453, 31693, 51439, 89729, 113405}},
-{20888, 18, 126043, {1, 3, 7, 9, 29, 13, 51, 155, 403, 627, 173, 2111, 833, 11453, 17673, 7121, 52943, 114835}},
-{20889, 18, 126062, {1, 1, 5, 13, 11, 11, 105, 101, 309, 577, 1003, 3667, 3489, 11807, 6119, 13773, 89879, 12391}},
-{20890, 18, 126076, {1, 3, 7, 9, 17, 11, 111, 239, 225, 723, 933, 3353, 2003, 5273, 207, 38539, 82539, 209781}},
-{20891, 18, 126116, {1, 1, 7, 13, 15, 53, 69, 105, 155, 445, 353, 617, 5625, 13439, 29223, 60439, 119635, 49643}},
-{20892, 18, 126125, {1, 1, 3, 11, 13, 25, 107, 27, 109, 313, 1721, 2647, 1861, 10631, 17131, 31365, 65319, 102905}},
-{20893, 18, 126145, {1, 1, 1, 7, 21, 29, 39, 167, 341, 115, 1523, 2209, 95, 4399, 3881, 38875, 107691, 132471}},
-{20894, 18, 126152, {1, 1, 1, 13, 15, 61, 125, 23, 301, 407, 1497, 3731, 7013, 5405, 31233, 51701, 45619, 107407}},
-{20895, 18, 126175, {1, 3, 5, 5, 31, 27, 77, 21, 339, 1013, 371, 19, 5733, 2177, 15547, 27595, 6805, 172695}},
-{20896, 18, 126188, {1, 3, 5, 11, 5, 15, 71, 23, 441, 169, 1715, 437, 1791, 293, 13441, 11225, 119119, 223035}},
-{20897, 18, 126199, {1, 3, 1, 5, 11, 15, 95, 127, 433, 789, 899, 2591, 2339, 8237, 20765, 32897, 51511, 58437}},
-{20898, 18, 126205, {1, 3, 5, 9, 11, 57, 103, 5, 401, 51, 1813, 923, 1983, 1853, 21913, 3051, 56309, 19423}},
-{20899, 18, 126213, {1, 1, 3, 15, 3, 3, 41, 5, 231, 35, 391, 185, 7585, 1005, 20311, 11193, 18275, 114131}},
-{20900, 18, 126220, {1, 1, 3, 9, 13, 13, 115, 203, 223, 575, 459, 1839, 3949, 16027, 23137, 13723, 19195, 249337}},
-{20901, 18, 126286, {1, 1, 1, 9, 21, 51, 39, 245, 187, 609, 319, 2927, 3625, 10789, 31291, 45557, 45935, 132447}},
-{20902, 18, 126294, {1, 3, 3, 9, 25, 37, 47, 55, 219, 409, 1927, 553, 3953, 6209, 11807, 11133, 48047, 132437}},
-{20903, 18, 126300, {1, 3, 1, 13, 23, 31, 109, 167, 281, 179, 233, 1603, 7391, 9091, 27021, 31213, 13093, 86017}},
-{20904, 18, 126322, {1, 3, 1, 13, 13, 15, 7, 29, 409, 59, 505, 1307, 6247, 6055, 5531, 59727, 58069, 84049}},
-{20905, 18, 126324, {1, 1, 5, 7, 19, 7, 103, 245, 133, 609, 1087, 2365, 3341, 1689, 18841, 19625, 47413, 63445}},
-{20906, 18, 126343, {1, 1, 7, 3, 11, 27, 79, 75, 97, 355, 493, 2035, 3413, 11835, 9157, 51173, 1, 71797}},
-{20907, 18, 126344, {1, 1, 5, 5, 29, 1, 43, 135, 473, 329, 1197, 1693, 3823, 7723, 24771, 22349, 94383, 41461}},
-{20908, 18, 126430, {1, 3, 3, 15, 25, 9, 79, 213, 317, 615, 541, 441, 505, 13665, 3691, 17825, 49303, 91783}},
-{20909, 18, 126433, {1, 3, 1, 11, 27, 33, 65, 31, 469, 799, 1251, 3357, 5239, 5651, 13317, 28553, 64225, 9805}},
-{20910, 18, 126448, {1, 1, 7, 13, 9, 49, 77, 43, 363, 719, 1943, 1285, 1587, 1047, 29419, 24025, 89901, 229095}},
-{20911, 18, 126451, {1, 1, 1, 15, 19, 57, 33, 243, 111, 183, 497, 603, 923, 1957, 6493, 11833, 7331, 229975}},
-{20912, 18, 126457, {1, 3, 1, 1, 13, 43, 31, 25, 169, 303, 69, 723, 1745, 1025, 14301, 2523, 111887, 179519}},
-{20913, 18, 126458, {1, 3, 1, 5, 31, 55, 11, 103, 391, 881, 1885, 3923, 7507, 377, 29331, 32167, 56915, 44211}},
-{20914, 18, 126463, {1, 1, 7, 1, 27, 55, 33, 141, 393, 73, 701, 3173, 973, 15553, 10219, 51441, 55201, 131055}},
-{20915, 18, 126470, {1, 1, 3, 9, 1, 31, 115, 85, 173, 227, 163, 157, 5569, 8291, 27163, 7581, 8699, 104523}},
-{20916, 18, 126484, {1, 1, 1, 5, 5, 19, 11, 55, 217, 571, 1001, 945, 6237, 1993, 11809, 63893, 60081, 102997}},
-{20917, 18, 126518, {1, 3, 3, 15, 15, 7, 51, 161, 147, 263, 1701, 1079, 3027, 11779, 24885, 16127, 68985, 162975}},
-{20918, 18, 126521, {1, 3, 1, 9, 25, 1, 47, 107, 149, 997, 1779, 2905, 4951, 10345, 31059, 63831, 117219, 251935}},
-{20919, 18, 126547, {1, 3, 3, 9, 5, 23, 83, 95, 399, 343, 1597, 1733, 5959, 9685, 4721, 59109, 113633, 80365}},
-{20920, 18, 126556, {1, 1, 7, 11, 31, 43, 71, 133, 305, 529, 645, 3095, 6273, 4019, 14433, 41609, 64093, 79051}},
-{20921, 18, 126583, {1, 3, 5, 11, 1, 63, 123, 25, 245, 583, 1013, 3275, 2997, 13021, 27515, 16233, 113093, 249101}},
-{20922, 18, 126584, {1, 1, 1, 9, 3, 59, 113, 155, 125, 423, 259, 1559, 3745, 9105, 27673, 36601, 36117, 47953}},
-{20923, 18, 126633, {1, 3, 3, 7, 19, 41, 55, 87, 53, 801, 661, 329, 3391, 7581, 25487, 25751, 120171, 35953}},
-{20924, 18, 126673, {1, 1, 7, 15, 31, 57, 49, 179, 147, 139, 957, 289, 4321, 8747, 53, 46003, 40219, 96855}},
-{20925, 18, 126680, {1, 1, 7, 9, 29, 49, 71, 101, 389, 793, 1355, 3263, 6331, 4869, 28479, 8335, 74653, 8519}},
-{20926, 18, 126686, {1, 1, 1, 13, 1, 19, 31, 161, 261, 679, 1115, 985, 2855, 4395, 15087, 18593, 98535, 52537}},
-{20927, 18, 126689, {1, 1, 3, 11, 15, 51, 79, 7, 75, 75, 753, 2637, 7193, 7961, 21411, 24273, 7543, 6277}},
-{20928, 18, 126702, {1, 3, 1, 5, 5, 51, 67, 191, 201, 777, 587, 1439, 1027, 3759, 31141, 42159, 58475, 7355}},
-{20929, 18, 126710, {1, 3, 5, 3, 15, 37, 11, 251, 53, 799, 739, 2225, 6985, 9183, 12341, 29963, 44101, 23889}},
-{20930, 18, 126722, {1, 1, 3, 3, 5, 33, 81, 223, 89, 531, 301, 305, 2401, 4015, 18607, 65041, 82447, 228487}},
-{20931, 18, 126787, {1, 3, 1, 7, 15, 29, 71, 247, 445, 1005, 1229, 3897, 899, 11175, 6349, 29145, 103153, 90275}},
-{20932, 18, 126789, {1, 3, 3, 7, 15, 7, 75, 13, 417, 719, 121, 1345, 3737, 4119, 15259, 33579, 57727, 111517}},
-{20933, 18, 126794, {1, 3, 7, 3, 31, 11, 49, 61, 405, 741, 1607, 1561, 4655, 9775, 14349, 27431, 91791, 228607}},
-{20934, 18, 126801, {1, 3, 5, 13, 17, 27, 93, 153, 99, 683, 219, 3783, 6963, 1633, 6621, 8133, 5111, 57333}},
-{20935, 18, 126857, {1, 3, 3, 3, 25, 29, 75, 155, 159, 25, 637, 3053, 4737, 5831, 9651, 45331, 100407, 188607}},
-{20936, 18, 126891, {1, 3, 1, 9, 21, 55, 123, 27, 509, 227, 1569, 1379, 7137, 11749, 14257, 38349, 459, 54873}},
-{20937, 18, 126896, {1, 1, 7, 15, 29, 35, 81, 79, 237, 155, 1551, 343, 5127, 3233, 3691, 59917, 7367, 181979}},
-{20938, 18, 126902, {1, 3, 1, 15, 1, 57, 111, 121, 375, 635, 1529, 635, 2337, 6553, 22067, 36047, 80099, 116411}},
-{20939, 18, 126911, {1, 1, 3, 3, 29, 27, 19, 3, 69, 197, 1829, 1907, 5901, 12651, 3295, 7805, 57871, 47571}},
-{20940, 18, 126919, {1, 1, 1, 13, 21, 5, 115, 51, 203, 991, 1731, 1101, 1607, 14323, 12233, 48047, 33969, 147621}},
-{20941, 18, 126943, {1, 3, 3, 1, 25, 55, 41, 31, 101, 551, 1519, 1915, 6961, 13919, 15339, 13141, 107625, 9247}},
-{20942, 18, 126947, {1, 1, 7, 11, 17, 25, 87, 175, 341, 445, 1813, 2995, 3217, 6015, 1637, 65243, 72743, 248715}},
-{20943, 18, 126949, {1, 1, 5, 13, 11, 1, 61, 139, 233, 167, 1363, 1991, 7999, 16289, 25595, 8915, 32205, 169963}},
-{20944, 18, 126953, {1, 1, 1, 13, 31, 33, 67, 57, 121, 477, 755, 2035, 3683, 16205, 5511, 25615, 5169, 128843}},
-{20945, 18, 126971, {1, 3, 5, 15, 31, 1, 89, 29, 493, 379, 1627, 491, 2503, 8105, 30275, 27379, 43905, 46397}},
-{20946, 18, 126976, {1, 1, 7, 9, 31, 41, 127, 121, 61, 561, 223, 3231, 7321, 3683, 15455, 8019, 116739, 96557}},
-{20947, 18, 126982, {1, 1, 5, 9, 19, 41, 25, 65, 111, 535, 611, 1631, 4251, 107, 19787, 40749, 65701, 48749}},
-{20948, 18, 127009, {1, 3, 3, 11, 27, 49, 75, 93, 15, 937, 1517, 1577, 7485, 8713, 15979, 13799, 103057, 144799}},
-{20949, 18, 127021, {1, 1, 7, 7, 7, 29, 3, 63, 177, 781, 2001, 315, 6703, 8055, 19081, 33641, 44279, 87597}},
-{20950, 18, 127027, {1, 1, 7, 11, 29, 53, 83, 223, 275, 951, 1883, 2447, 1815, 9313, 9247, 17185, 8143, 135247}},
-{20951, 18, 127039, {1, 1, 5, 13, 21, 47, 87, 55, 169, 95, 777, 2787, 7227, 11373, 16707, 28237, 30789, 64589}},
-{20952, 18, 127041, {1, 1, 1, 11, 15, 41, 1, 55, 337, 493, 1379, 2505, 6831, 10955, 1875, 21821, 54101, 9379}},
-{20953, 18, 127044, {1, 3, 5, 15, 27, 9, 121, 49, 439, 781, 1457, 1341, 7433, 5879, 13039, 24001, 64059, 157077}},
-{20954, 18, 127059, {1, 1, 1, 9, 19, 55, 89, 37, 255, 345, 215, 4067, 8151, 14253, 12121, 3637, 29185, 60643}},
-{20955, 18, 127071, {1, 3, 1, 7, 31, 39, 71, 29, 71, 83, 1249, 871, 8037, 1001, 25245, 26651, 34509, 123607}},
-{20956, 18, 127075, {1, 1, 3, 11, 13, 21, 15, 171, 255, 373, 429, 2179, 4431, 16087, 17949, 16307, 129877, 186495}},
-{20957, 18, 127126, {1, 3, 3, 9, 17, 45, 75, 175, 3, 403, 215, 1781, 7875, 14113, 6967, 65263, 125885, 232983}},
-{20958, 18, 127129, {1, 1, 7, 9, 21, 57, 73, 105, 163, 583, 587, 2743, 2199, 5187, 5571, 56399, 797, 192405}},
-{20959, 18, 127145, {1, 1, 1, 3, 29, 27, 71, 145, 11, 455, 1505, 2789, 4083, 12345, 14785, 4981, 95121, 134977}},
-{20960, 18, 127154, {1, 1, 1, 1, 1, 27, 1, 145, 473, 483, 83, 3009, 7241, 13633, 15071, 30767, 128103, 94727}},
-{20961, 18, 127165, {1, 3, 5, 15, 17, 51, 71, 21, 237, 65, 901, 3365, 7831, 3027, 8751, 14435, 79445, 172587}},
-{20962, 18, 127171, {1, 1, 5, 1, 9, 49, 49, 31, 395, 339, 343, 1813, 2607, 9347, 11239, 6761, 127623, 43459}},
-{20963, 18, 127197, {1, 1, 1, 1, 13, 23, 71, 131, 225, 229, 117, 889, 8145, 5953, 10679, 38687, 80029, 63689}},
-{20964, 18, 127198, {1, 1, 5, 1, 29, 1, 87, 181, 441, 353, 257, 335, 203, 10897, 24085, 26967, 62573, 170285}},
-{20965, 18, 127207, {1, 1, 7, 3, 3, 39, 47, 135, 353, 977, 89, 259, 6411, 5511, 10697, 57623, 27367, 108451}},
-{20966, 18, 127226, {1, 3, 3, 11, 9, 57, 95, 211, 237, 281, 1703, 2107, 2179, 3411, 32621, 5387, 29971, 102889}},
-{20967, 18, 127240, {1, 1, 1, 13, 27, 49, 47, 49, 413, 985, 649, 1245, 807, 13637, 21741, 32565, 80135, 127971}},
-{20968, 18, 127254, {1, 3, 7, 13, 3, 19, 57, 97, 493, 597, 135, 1689, 5011, 4579, 6093, 28341, 37279, 142197}},
-{20969, 18, 127269, {1, 3, 1, 15, 15, 31, 3, 89, 327, 107, 827, 1111, 261, 6211, 4359, 38553, 43297, 75057}},
-{20970, 18, 127305, {1, 1, 1, 9, 19, 19, 53, 195, 141, 297, 141, 3859, 4173, 12243, 31399, 6353, 110505, 172219}},
-{20971, 18, 127323, {1, 3, 3, 9, 31, 51, 59, 53, 55, 723, 1575, 3399, 8057, 12317, 8393, 1719, 96987, 228955}},
-{20972, 18, 127342, {1, 1, 7, 11, 19, 59, 41, 9, 217, 267, 629, 2977, 4515, 463, 31773, 61765, 78827, 51331}},
-{20973, 18, 127347, {1, 3, 3, 13, 9, 55, 51, 177, 183, 431, 555, 3573, 7977, 3067, 21111, 12971, 78283, 260721}},
-{20974, 18, 127363, {1, 1, 1, 11, 27, 5, 89, 69, 435, 199, 221, 1017, 7703, 7469, 7755, 46319, 37941, 55285}},
-{20975, 18, 127394, {1, 1, 7, 13, 19, 55, 53, 207, 367, 177, 1483, 2857, 3753, 5493, 13349, 14033, 7933, 93457}},
-{20976, 18, 127426, {1, 1, 7, 3, 27, 35, 19, 223, 341, 137, 1195, 1263, 5937, 13517, 55, 6391, 106173, 176503}},
-{20977, 18, 127432, {1, 3, 7, 11, 23, 25, 37, 103, 351, 945, 1205, 2543, 3875, 155, 27777, 36647, 47979, 25113}},
-{20978, 18, 127440, {1, 1, 3, 15, 25, 59, 79, 39, 17, 553, 1119, 3353, 2619, 3851, 5945, 47501, 17369, 89355}},
-{20979, 18, 127462, {1, 1, 1, 13, 9, 55, 13, 173, 207, 925, 1855, 1871, 7851, 1361, 20117, 51677, 77703, 51309}},
-{20980, 18, 127468, {1, 3, 1, 1, 31, 57, 3, 25, 329, 927, 1683, 1447, 6853, 103, 9549, 21393, 415, 122749}},
-{20981, 18, 127473, {1, 1, 5, 5, 31, 61, 31, 213, 85, 531, 931, 999, 1189, 5189, 15127, 47799, 70769, 81901}},
-{20982, 18, 127486, {1, 1, 3, 1, 5, 59, 89, 53, 105, 761, 313, 3013, 4093, 9595, 4287, 51505, 20095, 232933}},
-{20983, 18, 127502, {1, 1, 7, 7, 23, 9, 41, 29, 399, 395, 759, 2541, 2373, 15365, 12083, 49579, 34401, 168121}},
-{20984, 18, 127510, {1, 1, 3, 1, 7, 23, 37, 183, 205, 377, 1081, 1081, 7767, 363, 14571, 16265, 18267, 102155}},
-{20985, 18, 127523, {1, 3, 3, 15, 19, 11, 59, 59, 465, 437, 965, 3707, 3505, 14785, 23605, 12505, 130607, 40693}},
-{20986, 18, 127543, {1, 1, 3, 13, 5, 15, 91, 33, 235, 215, 1997, 2035, 7407, 3203, 27143, 14007, 96411, 593}},
-{20987, 18, 127567, {1, 3, 7, 1, 19, 51, 1, 69, 489, 629, 1731, 393, 6807, 10521, 23971, 45649, 105183, 207351}},
-{20988, 18, 127570, {1, 3, 5, 3, 5, 41, 89, 141, 469, 177, 109, 2439, 7155, 2083, 31993, 13933, 100557, 137255}},
-{20989, 18, 127585, {1, 1, 7, 15, 21, 45, 41, 197, 365, 177, 61, 811, 2535, 5219, 3689, 53129, 42063, 60759}},
-{20990, 18, 127588, {1, 3, 5, 1, 23, 7, 19, 193, 253, 793, 539, 3747, 2611, 16211, 17199, 14875, 95377, 6999}},
-{20991, 18, 127619, {1, 1, 3, 5, 9, 5, 9, 129, 217, 473, 151, 3053, 6981, 8075, 32121, 31995, 41271, 208927}},
-{20992, 18, 127621, {1, 1, 5, 9, 9, 9, 89, 139, 381, 937, 1937, 1879, 8191, 2237, 25629, 51471, 87639, 173697}},
-{20993, 18, 127626, {1, 1, 5, 9, 17, 35, 81, 223, 161, 315, 139, 2597, 2599, 16191, 2567, 54947, 8603, 121589}},
-{20994, 18, 127628, {1, 1, 5, 5, 9, 7, 33, 49, 49, 723, 1013, 1055, 4025, 1471, 30081, 17475, 127931, 63723}},
-{20995, 18, 127640, {1, 3, 7, 7, 9, 49, 107, 17, 335, 119, 1959, 3613, 8129, 11033, 12197, 23803, 112595, 131655}},
-{20996, 18, 127662, {1, 3, 5, 11, 3, 45, 91, 17, 181, 1005, 985, 3045, 853, 8181, 5517, 48515, 16225, 237151}},
-{20997, 18, 127684, {1, 1, 3, 1, 3, 63, 35, 135, 61, 383, 1233, 675, 151, 2157, 18711, 37113, 40353, 61783}},
-{20998, 18, 127687, {1, 3, 5, 5, 29, 3, 105, 11, 351, 761, 165, 911, 6903, 10111, 1779, 24601, 3177, 110301}},
-{20999, 18, 127693, {1, 1, 3, 15, 25, 19, 73, 237, 263, 161, 731, 3853, 7705, 14497, 30799, 32979, 100729, 21761}},
-{21000, 18, 127696, {1, 1, 3, 5, 27, 9, 3, 149, 207, 715, 1435, 2563, 2451, 7951, 26313, 55115, 99423, 231639}},
-{21001, 18, 127708, {1, 1, 5, 15, 11, 51, 13, 47, 311, 969, 2013, 357, 4847, 1831, 2235, 22779, 32375, 40893}},
-{21002, 18, 127711, {1, 1, 3, 9, 21, 45, 11, 99, 275, 849, 443, 1257, 7855, 9121, 6549, 20289, 101337, 13869}},
-{21003, 18, 127722, {1, 1, 1, 15, 25, 27, 15, 111, 215, 437, 1923, 1985, 4603, 15469, 6667, 17941, 50433, 152759}},
-{21004, 18, 127732, {1, 3, 7, 15, 7, 37, 119, 53, 337, 853, 1785, 3507, 3743, 14303, 22757, 5149, 1539, 227051}},
-{21005, 18, 127747, {1, 1, 3, 13, 11, 23, 55, 19, 495, 531, 1021, 3831, 5993, 15819, 2121, 52773, 19775, 94643}},
-{21006, 18, 127767, {1, 1, 3, 3, 23, 55, 55, 69, 457, 755, 1187, 3993, 613, 12691, 1779, 21251, 2293, 236725}},
-{21007, 18, 127771, {1, 1, 5, 9, 23, 27, 61, 125, 113, 99, 503, 699, 6873, 13141, 10649, 65209, 21773, 162749}},
-{21008, 18, 127790, {1, 1, 1, 11, 15, 27, 111, 227, 493, 361, 1071, 607, 1409, 9281, 24515, 26739, 82421, 30463}},
-{21009, 18, 127816, {1, 3, 5, 1, 11, 57, 23, 239, 265, 675, 441, 4031, 5163, 15729, 2741, 26037, 32533, 140645}},
-{21010, 18, 127824, {1, 3, 3, 7, 3, 45, 105, 135, 493, 579, 1707, 2933, 1135, 11891, 3171, 45401, 24993, 175681}},
-{21011, 18, 127833, {1, 1, 1, 11, 11, 3, 67, 213, 483, 9, 1053, 213, 3205, 8487, 16093, 7305, 122591, 31811}},
-{21012, 18, 127869, {1, 1, 5, 13, 19, 31, 13, 65, 29, 929, 343, 463, 1885, 13467, 14997, 22737, 42869, 128239}},
-{21013, 18, 127910, {1, 3, 3, 13, 9, 47, 125, 33, 475, 285, 1901, 2525, 305, 11587, 27309, 30037, 70681, 180425}},
-{21014, 18, 127928, {1, 3, 5, 15, 9, 37, 45, 149, 19, 135, 555, 4037, 5173, 12473, 983, 40923, 28561, 185941}},
-{21015, 18, 127933, {1, 3, 3, 9, 23, 35, 35, 151, 113, 885, 1553, 2233, 351, 4071, 28127, 26109, 12299, 163973}},
-{21016, 18, 127963, {1, 3, 3, 11, 17, 55, 125, 87, 315, 917, 383, 2397, 1573, 9255, 10499, 16051, 99487, 139415}},
-{21017, 18, 127975, {1, 1, 3, 1, 29, 21, 101, 153, 5, 705, 1965, 1447, 8163, 13547, 25929, 28569, 57897, 173229}},
-{21018, 18, 128016, {1, 1, 7, 15, 3, 37, 113, 213, 495, 935, 529, 2299, 6901, 1765, 4255, 14579, 14175, 112333}},
-{21019, 18, 128031, {1, 3, 3, 9, 11, 53, 89, 27, 461, 235, 1525, 3533, 3061, 4351, 12847, 21649, 10843, 60901}},
-{21020, 18, 128059, {1, 1, 5, 1, 17, 11, 17, 157, 387, 887, 2017, 3641, 923, 12659, 19691, 18657, 3127, 218819}},
-{21021, 18, 128074, {1, 3, 1, 9, 5, 3, 49, 215, 379, 765, 1375, 345, 2285, 8197, 9531, 6725, 22475, 203883}},
-{21022, 18, 128107, {1, 1, 3, 9, 19, 41, 13, 233, 97, 755, 249, 2011, 5815, 6317, 4121, 63637, 43353, 154753}},
-{21023, 18, 128122, {1, 3, 7, 15, 31, 25, 93, 197, 455, 979, 1805, 2619, 803, 5705, 1679, 29317, 66477, 159187}},
-{21024, 18, 128157, {1, 1, 1, 13, 11, 25, 61, 233, 339, 171, 559, 427, 3239, 8889, 3711, 19743, 18099, 49201}},
-{21025, 18, 128161, {1, 3, 7, 13, 19, 5, 9, 183, 355, 137, 1767, 1113, 1149, 5791, 4099, 37911, 75945, 115397}},
-{21026, 18, 128200, {1, 1, 3, 13, 27, 25, 121, 3, 337, 195, 1841, 2009, 4181, 3197, 20275, 42493, 7495, 24407}},
-{21027, 18, 128213, {1, 1, 1, 15, 3, 43, 39, 25, 57, 829, 565, 1977, 4027, 11053, 13961, 13965, 4207, 1663}},
-{21028, 18, 128229, {1, 3, 5, 9, 11, 7, 107, 205, 479, 961, 1549, 1701, 6305, 15419, 23331, 46443, 55171, 235109}},
-{21029, 18, 128233, {1, 3, 5, 5, 19, 3, 39, 211, 429, 363, 765, 283, 2469, 1947, 10481, 1969, 95545, 187671}},
-{21030, 18, 128241, {1, 1, 1, 1, 11, 55, 47, 121, 251, 63, 767, 3673, 3233, 14865, 25713, 48443, 79139, 225021}},
-{21031, 18, 128259, {1, 1, 3, 11, 25, 35, 57, 103, 385, 155, 173, 4023, 489, 1733, 14423, 61843, 24793, 9871}},
-{21032, 18, 128295, {1, 3, 1, 15, 9, 29, 99, 187, 471, 877, 1321, 2489, 7439, 4259, 32703, 1459, 42093, 261097}},
-{21033, 18, 128299, {1, 1, 3, 11, 9, 25, 113, 251, 337, 405, 847, 2451, 5649, 3449, 11703, 18271, 108005, 208789}},
-{21034, 18, 128313, {1, 3, 3, 7, 13, 53, 61, 251, 461, 461, 1557, 1215, 6731, 13349, 21003, 11573, 66751, 79733}},
-{21035, 18, 128345, {1, 1, 5, 1, 23, 49, 101, 175, 251, 577, 1667, 2561, 6545, 16305, 18457, 65067, 35843, 123445}},
-{21036, 18, 128362, {1, 1, 5, 3, 7, 9, 61, 107, 395, 137, 559, 2315, 2559, 11929, 4843, 41661, 61361, 146163}},
-{21037, 18, 128375, {1, 3, 1, 5, 1, 3, 43, 251, 329, 289, 323, 2201, 4129, 4963, 27477, 18743, 46551, 93061}},
-{21038, 18, 128376, {1, 1, 7, 3, 17, 63, 21, 159, 447, 377, 69, 2517, 8181, 6043, 3039, 7747, 72465, 41027}},
-{21039, 18, 128406, {1, 1, 1, 1, 13, 3, 45, 93, 391, 509, 867, 1561, 5017, 11851, 24891, 22531, 18993, 129421}},
-{21040, 18, 128410, {1, 3, 3, 11, 15, 1, 127, 9, 161, 321, 2003, 239, 1379, 11903, 13503, 26529, 57725, 214797}},
-{21041, 18, 128416, {1, 1, 1, 13, 31, 11, 17, 25, 1, 645, 675, 735, 2083, 1919, 18977, 4995, 91559, 230463}},
-{21042, 18, 128443, {1, 3, 1, 13, 17, 21, 107, 167, 135, 797, 715, 3275, 5437, 4253, 11671, 14867, 36041, 71751}},
-{21043, 18, 128451, {1, 3, 5, 5, 11, 49, 93, 231, 431, 567, 1605, 3281, 7049, 2947, 863, 39593, 117167, 167301}},
-{21044, 18, 128465, {1, 1, 1, 1, 5, 13, 61, 91, 127, 189, 1879, 3921, 4303, 4831, 6765, 31005, 107627, 80693}},
-{21045, 18, 128466, {1, 3, 1, 3, 1, 49, 61, 9, 467, 891, 105, 317, 137, 12789, 12367, 57455, 39777, 88047}},
-{21046, 18, 128484, {1, 1, 3, 13, 23, 63, 37, 103, 23, 223, 647, 2523, 3211, 14551, 22663, 48237, 54777, 180297}},
-{21047, 18, 128499, {1, 3, 3, 7, 29, 51, 85, 179, 441, 431, 535, 2975, 8083, 8619, 30229, 31421, 54063, 163601}},
-{21048, 18, 128502, {1, 3, 1, 1, 27, 39, 125, 171, 57, 729, 511, 957, 7541, 2347, 1669, 32323, 108531, 69943}},
-{21049, 18, 128524, {1, 3, 3, 7, 1, 33, 89, 245, 95, 21, 699, 1441, 2659, 501, 32323, 39145, 82311, 155479}},
-{21050, 18, 128536, {1, 1, 3, 11, 29, 13, 87, 251, 329, 667, 325, 2411, 7959, 8069, 20817, 42445, 121675, 113421}},
-{21051, 18, 128541, {1, 1, 1, 7, 9, 57, 109, 237, 325, 535, 89, 1285, 5649, 13673, 29375, 51553, 81723, 11003}},
-{21052, 18, 128542, {1, 3, 1, 1, 13, 5, 31, 109, 157, 817, 1303, 725, 1841, 5503, 2255, 34637, 93603, 82825}},
-{21053, 18, 128592, {1, 3, 7, 7, 5, 33, 39, 233, 217, 157, 357, 2727, 3565, 1539, 5317, 23967, 30375, 260381}},
-{21054, 18, 128598, {1, 1, 5, 3, 23, 51, 45, 181, 353, 519, 949, 3043, 1517, 3387, 15081, 5997, 31523, 80007}},
-{21055, 18, 128623, {1, 1, 3, 5, 23, 21, 83, 51, 275, 629, 1433, 1821, 3761, 2367, 32089, 13813, 99629, 64603}},
-{21056, 18, 128632, {1, 1, 5, 15, 11, 49, 69, 197, 193, 459, 1915, 787, 3631, 5219, 11109, 12311, 56625, 117439}},
-{21057, 18, 128671, {1, 3, 3, 3, 31, 29, 57, 27, 43, 231, 777, 2139, 2609, 12273, 23777, 4151, 51749, 110013}},
-{21058, 18, 128713, {1, 1, 5, 13, 9, 63, 83, 69, 225, 913, 99, 1167, 5279, 14163, 3979, 55151, 84387, 234583}},
-{21059, 18, 128724, {1, 1, 7, 5, 9, 57, 87, 23, 335, 403, 1843, 725, 5187, 4137, 24299, 44807, 98523, 217815}},
-{21060, 18, 128731, {1, 3, 3, 3, 3, 23, 115, 229, 193, 655, 1205, 3159, 1935, 113, 20943, 32917, 69633, 2133}},
-{21061, 18, 128761, {1, 3, 3, 1, 17, 5, 59, 139, 75, 185, 1951, 3689, 4997, 2761, 8673, 41783, 75075, 101063}},
-{21062, 18, 128767, {1, 3, 1, 13, 1, 51, 63, 127, 67, 743, 1049, 2055, 4249, 131, 8153, 50237, 28135, 76059}},
-{21063, 18, 128782, {1, 3, 7, 13, 5, 39, 83, 63, 429, 573, 1915, 3801, 2223, 1585, 16997, 45571, 23311, 108099}},
-{21064, 18, 128793, {1, 3, 1, 3, 15, 49, 19, 65, 433, 401, 1901, 3653, 2399, 15171, 9695, 30257, 104877, 181221}},
-{21065, 18, 128805, {1, 3, 1, 1, 25, 37, 89, 7, 81, 343, 949, 3535, 1681, 10089, 23513, 3897, 127083, 214005}},
-{21066, 18, 128820, {1, 3, 7, 13, 1, 1, 123, 89, 433, 541, 1579, 931, 3459, 11095, 20729, 13117, 59323, 90309}},
-{21067, 18, 128830, {1, 1, 7, 1, 19, 9, 31, 211, 271, 25, 1053, 2249, 6549, 12785, 16947, 55633, 70155, 253741}},
-{21068, 18, 128842, {1, 3, 5, 9, 7, 49, 11, 251, 101, 795, 1015, 2037, 1239, 10151, 22179, 749, 2373, 224517}},
-{21069, 18, 128852, {1, 3, 7, 15, 21, 19, 15, 59, 439, 621, 1081, 3041, 1587, 3077, 2319, 51135, 110513, 222551}},
-{21070, 18, 128859, {1, 1, 5, 5, 9, 61, 49, 97, 361, 647, 351, 1977, 3023, 10213, 6889, 8753, 72203, 37521}},
-{21071, 18, 128866, {1, 3, 3, 1, 7, 29, 51, 117, 259, 81, 1263, 1829, 6541, 5699, 30367, 61325, 78795, 3491}},
-{21072, 18, 128875, {1, 1, 1, 5, 5, 23, 19, 255, 267, 251, 239, 3561, 6771, 10647, 4129, 40285, 11041, 27023}},
-{21073, 18, 128892, {1, 1, 7, 5, 29, 17, 121, 91, 427, 51, 243, 1617, 5389, 3633, 14105, 5329, 109507, 93719}},
-{21074, 18, 128896, {1, 3, 7, 5, 7, 59, 107, 89, 181, 719, 1029, 585, 2415, 9175, 11605, 9271, 12105, 42503}},
-{21075, 18, 128914, {1, 3, 5, 15, 27, 15, 83, 223, 489, 901, 1823, 1515, 6295, 12509, 27179, 181, 29813, 66163}},
-{21076, 18, 128935, {1, 1, 7, 15, 5, 9, 79, 29, 201, 391, 609, 935, 4025, 201, 8333, 24557, 33739, 257979}},
-{21077, 18, 128964, {1, 3, 3, 9, 9, 19, 55, 211, 347, 943, 559, 467, 1363, 10249, 7109, 41293, 28035, 205889}},
-{21078, 18, 128973, {1, 1, 5, 3, 21, 25, 25, 163, 95, 119, 789, 1679, 3845, 1427, 25531, 13375, 121029, 194845}},
-{21079, 18, 129001, {1, 1, 5, 3, 31, 21, 83, 27, 17, 59, 885, 3889, 4795, 4383, 28739, 55129, 10387, 176437}},
-{21080, 18, 129007, {1, 3, 1, 5, 31, 39, 37, 79, 433, 313, 1155, 3025, 6141, 10695, 27819, 28227, 32161, 250515}},
-{21081, 18, 129012, {1, 1, 5, 9, 27, 41, 3, 129, 235, 621, 1171, 3305, 6309, 5323, 15049, 16301, 13817, 238521}},
-{21082, 18, 129021, {1, 3, 7, 7, 27, 31, 63, 143, 183, 625, 1627, 3093, 6597, 14089, 30197, 60411, 66221, 221691}},
-{21083, 18, 129026, {1, 3, 7, 13, 21, 15, 59, 67, 441, 113, 1229, 1587, 5889, 6691, 10641, 11865, 89791, 82867}},
-{21084, 18, 129055, {1, 1, 7, 9, 13, 21, 53, 145, 235, 877, 2005, 1005, 7137, 6091, 19611, 25959, 124019, 216269}},
-{21085, 18, 129071, {1, 3, 7, 9, 17, 63, 5, 245, 397, 351, 1613, 4079, 7235, 4397, 18951, 11609, 71593, 148615}},
-{21086, 18, 129093, {1, 3, 3, 11, 5, 59, 65, 221, 237, 527, 861, 397, 249, 15273, 8415, 61185, 59419, 98115}},
-{21087, 18, 129105, {1, 1, 3, 5, 5, 59, 17, 247, 3, 765, 835, 1131, 3985, 9021, 18067, 28525, 86513, 250227}},
-{21088, 18, 129124, {1, 3, 7, 15, 25, 47, 119, 143, 143, 283, 1791, 59, 8171, 12577, 17079, 9809, 100299, 63977}},
-{21089, 18, 129148, {1, 3, 5, 13, 1, 47, 93, 159, 199, 863, 1279, 77, 4719, 3623, 30713, 39271, 126299, 130297}},
-{21090, 18, 129151, {1, 1, 5, 3, 23, 11, 119, 187, 57, 373, 747, 1507, 5165, 12929, 903, 49041, 70215, 117113}},
-{21091, 18, 129155, {1, 1, 5, 1, 3, 59, 23, 77, 151, 77, 627, 2865, 7055, 10469, 12095, 20481, 13429, 47573}},
-{21092, 18, 129161, {1, 3, 1, 13, 27, 13, 115, 233, 343, 407, 1321, 4011, 5589, 15369, 23495, 4435, 75421, 229325}},
-{21093, 18, 129200, {1, 3, 3, 3, 5, 51, 89, 53, 275, 279, 203, 2829, 4415, 4735, 25417, 17633, 99445, 183945}},
-{21094, 18, 129224, {1, 3, 3, 15, 7, 9, 91, 63, 143, 945, 453, 4001, 3943, 7285, 9359, 27507, 8571, 31827}},
-{21095, 18, 129230, {1, 3, 3, 11, 15, 49, 103, 25, 273, 791, 145, 2203, 4721, 7709, 25085, 33937, 98693, 97445}},
-{21096, 18, 129237, {1, 1, 5, 15, 9, 13, 87, 27, 331, 137, 1031, 585, 7841, 12213, 32259, 46953, 17813, 203379}},
-{21097, 18, 129298, {1, 3, 1, 5, 29, 53, 121, 179, 21, 311, 991, 2145, 6577, 12889, 8763, 46629, 128093, 105033}},
-{21098, 18, 129300, {1, 3, 1, 9, 7, 29, 57, 137, 333, 109, 615, 749, 2665, 13087, 13989, 41857, 102937, 125183}},
-{21099, 18, 129316, {1, 1, 5, 5, 3, 23, 107, 5, 319, 503, 1209, 47, 349, 11681, 28521, 44707, 112887, 232275}},
-{21100, 18, 129345, {1, 3, 3, 13, 13, 51, 13, 5, 293, 15, 555, 135, 2565, 13325, 30411, 14837, 65591, 249205}},
-{21101, 18, 129351, {1, 3, 5, 13, 17, 3, 73, 255, 447, 699, 503, 3655, 7735, 12163, 6167, 15027, 103831, 146395}},
-{21102, 18, 129352, {1, 3, 1, 13, 5, 9, 27, 45, 397, 463, 1739, 3193, 6731, 7533, 11217, 22359, 82603, 231613}},
-{21103, 18, 129363, {1, 1, 3, 15, 5, 43, 73, 191, 53, 187, 1905, 745, 1571, 9013, 8515, 59527, 104671, 227063}},
-{21104, 18, 129393, {1, 1, 3, 1, 5, 47, 57, 179, 433, 979, 147, 1701, 4019, 6855, 24487, 65495, 69919, 6659}},
-{21105, 18, 129410, {1, 3, 3, 1, 17, 17, 13, 75, 163, 781, 421, 1573, 2519, 9243, 20693, 60909, 65661, 208125}},
-{21106, 18, 129415, {1, 3, 5, 7, 27, 57, 39, 79, 157, 415, 729, 3651, 3581, 9443, 6409, 45993, 99051, 140977}},
-{21107, 18, 129449, {1, 3, 3, 13, 1, 7, 109, 77, 423, 185, 97, 3719, 2355, 10593, 2421, 37339, 24961, 24305}},
-{21108, 18, 129477, {1, 3, 5, 13, 17, 7, 125, 43, 453, 43, 643, 3757, 3721, 16083, 20871, 26451, 95201, 29153}},
-{21109, 18, 129501, {1, 1, 7, 3, 13, 49, 99, 253, 59, 21, 445, 3677, 6683, 2165, 32367, 55249, 5991, 155033}},
-{21110, 18, 129518, {1, 1, 3, 9, 21, 9, 15, 219, 175, 631, 665, 2455, 4701, 10639, 13907, 26937, 58867, 259861}},
-{21111, 18, 129520, {1, 3, 5, 5, 23, 5, 39, 233, 27, 811, 1435, 625, 4703, 3699, 20763, 50047, 123875, 10129}},
-{21112, 18, 129545, {1, 1, 7, 5, 23, 1, 49, 223, 309, 691, 953, 575, 5279, 10515, 11519, 35387, 48417, 134001}},
-{21113, 18, 129563, {1, 1, 7, 11, 3, 15, 125, 109, 39, 713, 1823, 1613, 4347, 6839, 29511, 26865, 102077, 31425}},
-{21114, 18, 129594, {1, 1, 1, 7, 31, 43, 13, 221, 115, 993, 1155, 1641, 1063, 2065, 18909, 45769, 65331, 188455}},
-{21115, 18, 129608, {1, 1, 7, 13, 21, 9, 59, 7, 79, 217, 2009, 667, 7685, 14761, 20149, 44133, 41037, 78369}},
-{21116, 18, 129616, {1, 3, 1, 9, 23, 57, 1, 193, 77, 681, 1135, 3657, 8149, 3559, 25011, 55027, 121903, 240157}},
-{21117, 18, 129652, {1, 3, 3, 5, 31, 41, 59, 5, 159, 627, 1569, 23, 2311, 2239, 20811, 54931, 130949, 193071}},
-{21118, 18, 129659, {1, 1, 1, 1, 27, 45, 43, 1, 381, 801, 451, 1361, 1611, 5379, 27819, 8949, 4953, 222335}},
-{21119, 18, 129680, {1, 1, 7, 7, 7, 11, 101, 17, 197, 561, 297, 159, 7443, 7273, 819, 23487, 24927, 151781}},
-{21120, 18, 129692, {1, 3, 1, 3, 15, 43, 119, 193, 205, 835, 7, 689, 8045, 11167, 19521, 65075, 87265, 53669}},
-{21121, 18, 129738, {1, 3, 7, 7, 9, 51, 43, 209, 239, 415, 995, 4037, 1219, 2683, 30459, 36161, 111157, 184551}},
-{21122, 18, 129764, {1, 3, 7, 11, 27, 3, 81, 43, 407, 463, 231, 3545, 2691, 5235, 22053, 37233, 98757, 149111}},
-{21123, 18, 129782, {1, 3, 1, 5, 17, 25, 47, 185, 487, 403, 1063, 1445, 4457, 15443, 11693, 54823, 131001, 9813}},
-{21124, 18, 129793, {1, 3, 5, 3, 5, 35, 127, 253, 173, 491, 133, 3575, 1981, 12735, 26021, 61615, 74615, 159829}},
-{21125, 18, 129820, {1, 1, 5, 9, 13, 37, 67, 155, 317, 389, 603, 4061, 3527, 9315, 32331, 43145, 82511, 240133}},
-{21126, 18, 129824, {1, 1, 5, 1, 21, 41, 89, 3, 61, 627, 1301, 2073, 447, 8139, 2509, 52075, 50687, 240239}},
-{21127, 18, 129829, {1, 3, 7, 13, 25, 61, 117, 107, 175, 7, 1173, 561, 5777, 10525, 20713, 34987, 48005, 214361}},
-{21128, 18, 129848, {1, 3, 7, 15, 25, 31, 127, 147, 177, 881, 95, 2115, 4765, 10485, 9253, 721, 193, 222459}},
-{21129, 18, 129854, {1, 3, 5, 3, 3, 13, 47, 77, 441, 1001, 215, 2365, 3603, 405, 11401, 14523, 65755, 258229}},
-{21130, 18, 129861, {1, 1, 3, 9, 19, 29, 71, 153, 77, 613, 1815, 2033, 1821, 15497, 18805, 28851, 88247, 143115}},
-{21131, 18, 129879, {1, 3, 1, 11, 21, 19, 37, 35, 427, 887, 1977, 1961, 3619, 10739, 30115, 55937, 102045, 110929}},
-{21132, 18, 129886, {1, 3, 3, 13, 21, 27, 49, 15, 405, 629, 2015, 867, 2121, 13789, 19225, 22343, 105629, 123113}},
-{21133, 18, 129907, {1, 1, 1, 1, 17, 19, 55, 207, 507, 1001, 1753, 315, 2799, 8643, 1519, 4057, 16599, 222223}},
-{21134, 18, 129949, {1, 1, 5, 7, 21, 37, 63, 53, 103, 261, 595, 389, 6041, 11127, 23625, 61683, 80953, 255891}},
-{21135, 18, 129953, {1, 1, 1, 5, 25, 21, 81, 233, 79, 57, 1311, 3965, 7747, 687, 32149, 397, 4551, 37657}},
-{21136, 18, 129980, {1, 1, 1, 5, 9, 19, 87, 67, 325, 157, 317, 591, 1401, 8275, 20413, 39529, 75349, 183679}},
-{21137, 18, 129998, {1, 3, 3, 15, 9, 3, 83, 205, 195, 599, 829, 3109, 3705, 13991, 8781, 41555, 31689, 86933}},
-{21138, 18, 130031, {1, 3, 5, 1, 3, 9, 37, 235, 271, 883, 561, 1473, 7693, 177, 14113, 19507, 75221, 67517}},
-{21139, 18, 130043, {1, 1, 1, 9, 7, 29, 87, 189, 239, 429, 537, 1657, 6373, 2449, 17621, 19649, 77235, 102775}},
-{21140, 18, 130057, {1, 1, 7, 7, 1, 43, 69, 207, 241, 561, 1809, 3119, 4657, 15797, 18751, 52169, 105005, 172657}},
-{21141, 18, 130065, {1, 1, 7, 5, 5, 59, 67, 231, 27, 435, 1073, 2689, 229, 733, 1579, 52289, 110285, 76721}},
-{21142, 18, 130087, {1, 3, 5, 9, 31, 19, 87, 41, 489, 705, 1363, 963, 5865, 8237, 10295, 43169, 81561, 177209}},
-{21143, 18, 130091, {1, 3, 3, 1, 25, 39, 63, 255, 403, 625, 1601, 71, 6609, 4165, 21987, 31269, 25473, 17063}},
-{21144, 18, 130096, {1, 3, 3, 11, 19, 13, 101, 245, 17, 687, 1037, 3345, 7257, 13081, 5131, 29003, 72319, 223505}},
-{21145, 18, 130101, {1, 3, 3, 3, 11, 49, 107, 29, 463, 465, 977, 4007, 2121, 4821, 1465, 53725, 36783, 247057}},
-{21146, 18, 130111, {1, 1, 1, 3, 1, 43, 71, 49, 261, 965, 1041, 3951, 3791, 2503, 26009, 52039, 4639, 141281}},
-{21147, 18, 130126, {1, 1, 3, 5, 29, 45, 79, 33, 119, 491, 1403, 1637, 853, 5609, 29853, 16435, 117877, 58443}},
-{21148, 18, 130137, {1, 1, 3, 5, 13, 17, 109, 187, 201, 705, 235, 1485, 7673, 6335, 3341, 20451, 64697, 129519}},
-{21149, 18, 130138, {1, 1, 7, 13, 11, 41, 95, 81, 135, 783, 1293, 2095, 3599, 10175, 3205, 56915, 131, 19281}},
-{21150, 18, 130149, {1, 3, 5, 9, 13, 19, 53, 223, 283, 733, 1915, 3029, 2779, 8133, 28163, 37263, 91245, 1927}},
-{21151, 18, 130177, {1, 3, 3, 3, 1, 55, 41, 123, 209, 195, 1423, 2467, 3809, 11169, 23593, 8703, 40975, 175651}},
-{21152, 18, 130180, {1, 3, 7, 9, 31, 57, 31, 115, 415, 445, 557, 3971, 1565, 15223, 7799, 10463, 117387, 225127}},
-{21153, 18, 130214, {1, 3, 5, 11, 31, 19, 3, 63, 315, 501, 903, 1925, 3393, 16149, 11013, 15483, 70765, 279}},
-{21154, 18, 130228, {1, 3, 3, 9, 29, 21, 13, 227, 263, 815, 1259, 2549, 955, 9237, 16083, 38891, 31145, 731}},
-{21155, 18, 130240, {1, 3, 3, 5, 27, 23, 33, 189, 107, 655, 889, 1549, 7315, 13341, 12721, 59339, 54503, 91679}},
-{21156, 18, 130267, {1, 3, 7, 5, 15, 9, 1, 255, 451, 91, 1279, 2359, 5913, 5215, 23161, 29327, 45275, 206709}},
-{21157, 18, 130280, {1, 3, 3, 9, 9, 41, 75, 91, 87, 695, 335, 3375, 7307, 14095, 5359, 7815, 9339, 46387}},
-{21158, 18, 130294, {1, 1, 3, 15, 5, 47, 69, 231, 423, 255, 1335, 3395, 2799, 8955, 31445, 59849, 104955, 240587}},
-{21159, 18, 130306, {1, 3, 5, 7, 7, 9, 21, 209, 321, 5, 653, 2199, 3657, 6397, 20229, 32349, 54543, 47971}},
-{21160, 18, 130325, {1, 3, 7, 11, 31, 21, 85, 49, 197, 865, 53, 609, 1867, 14503, 12671, 61703, 39245, 8493}},
-{21161, 18, 130398, {1, 3, 1, 13, 27, 31, 119, 247, 209, 65, 1729, 1563, 1597, 1617, 26597, 50139, 108667, 77035}},
-{21162, 18, 130402, {1, 1, 5, 13, 3, 49, 53, 219, 71, 1013, 1239, 3725, 117, 9273, 8277, 32619, 45933, 71509}},
-{21163, 18, 130421, {1, 3, 7, 13, 1, 3, 119, 153, 79, 555, 429, 1221, 3725, 6073, 1295, 7187, 117709, 258911}},
-{21164, 18, 130438, {1, 3, 3, 13, 1, 13, 105, 185, 81, 989, 563, 3761, 6725, 4699, 10539, 50247, 95307, 211927}},
-{21165, 18, 130441, {1, 3, 7, 3, 21, 11, 45, 81, 495, 391, 1437, 3495, 3789, 13701, 9479, 42505, 22561, 135019}},
-{21166, 18, 130475, {1, 3, 3, 11, 7, 61, 65, 211, 269, 997, 385, 3843, 4905, 2939, 28551, 19515, 25177, 68137}},
-{21167, 18, 130486, {1, 1, 3, 3, 3, 47, 73, 127, 15, 977, 209, 1791, 4711, 6733, 29093, 36311, 13665, 240603}},
-{21168, 18, 130503, {1, 3, 5, 5, 19, 39, 29, 211, 463, 755, 1723, 397, 213, 14009, 22701, 7131, 35587, 183885}},
-{21169, 18, 130551, {1, 3, 5, 9, 11, 29, 7, 25, 381, 631, 1343, 2255, 2535, 3239, 7287, 14161, 69295, 85245}},
-{21170, 18, 130574, {1, 1, 5, 5, 17, 47, 19, 217, 289, 411, 1855, 323, 4109, 2601, 5835, 61909, 99333, 99959}},
-{21171, 18, 130602, {1, 1, 3, 11, 1, 51, 121, 207, 403, 993, 1171, 3451, 3389, 957, 22125, 9333, 110775, 54125}},
-{21172, 18, 130612, {1, 3, 5, 15, 9, 51, 13, 251, 203, 861, 321, 2017, 6933, 10785, 20089, 65213, 105451, 117319}},
-{21173, 18, 130621, {1, 3, 3, 15, 19, 63, 89, 217, 269, 723, 57, 1923, 4267, 4895, 2191, 21605, 62401, 11063}},
-{21174, 18, 130633, {1, 3, 1, 3, 21, 47, 103, 75, 167, 989, 1401, 575, 3717, 10373, 21321, 5487, 36063, 140411}},
-{21175, 18, 130684, {1, 1, 7, 15, 19, 29, 121, 197, 429, 773, 901, 1875, 291, 11395, 31459, 55041, 49263, 185143}},
-{21176, 18, 130688, {1, 3, 3, 1, 19, 17, 19, 21, 41, 885, 1665, 547, 5887, 6205, 3317, 59399, 125559, 82721}},
-{21177, 18, 130698, {1, 3, 1, 9, 15, 39, 81, 9, 279, 33, 1287, 3035, 5759, 10647, 3933, 20953, 3137, 30693}},
-{21178, 18, 130700, {1, 3, 5, 13, 3, 33, 33, 169, 233, 83, 467, 3719, 5617, 6165, 15631, 56059, 95541, 245233}},
-{21179, 18, 130712, {1, 3, 5, 13, 5, 21, 81, 9, 413, 247, 1307, 3363, 3383, 11525, 1259, 8735, 36507, 98359}},
-{21180, 18, 130739, {1, 1, 1, 13, 17, 49, 105, 131, 385, 309, 1295, 565, 8031, 15391, 31263, 52657, 102721, 212195}},
-{21181, 18, 130748, {1, 3, 1, 7, 13, 41, 21, 103, 237, 649, 55, 1565, 6327, 8743, 15457, 29975, 34165, 80839}},
-{21182, 18, 130774, {1, 3, 5, 11, 15, 31, 121, 219, 375, 159, 731, 59, 3205, 15039, 10023, 46209, 34619, 110253}},
-{21183, 18, 130783, {1, 3, 3, 11, 31, 19, 79, 185, 363, 635, 463, 987, 2681, 6405, 30077, 21173, 14213, 58095}},
-{21184, 18, 130802, {1, 1, 5, 13, 23, 37, 57, 111, 293, 553, 269, 3393, 345, 1983, 1097, 47217, 22281, 212607}},
-{21185, 18, 130811, {1, 3, 5, 7, 7, 33, 65, 61, 185, 411, 187, 641, 6437, 4625, 17547, 38941, 81119, 48651}},
-{21186, 18, 130836, {1, 1, 7, 3, 19, 25, 39, 243, 139, 465, 691, 713, 7879, 14539, 31669, 35871, 130681, 255929}},
-{21187, 18, 130840, {1, 3, 1, 1, 3, 43, 87, 13, 179, 835, 719, 1189, 7207, 5863, 6077, 20669, 35469, 211155}},
-{21188, 18, 130856, {1, 3, 7, 13, 25, 59, 97, 129, 151, 985, 739, 1919, 7729, 14057, 21721, 17603, 82797, 181319}},
-{21189, 18, 130864, {1, 1, 7, 7, 5, 3, 21, 141, 379, 257, 207, 597, 4051, 7563, 25481, 59427, 45449, 61159}},
-{21190, 18, 130873, {1, 3, 3, 9, 11, 25, 5, 29, 131, 603, 637, 189, 4033, 13099, 15219, 4447, 73501, 135795}},
-{21191, 18, 130918, {1, 3, 1, 9, 1, 49, 57, 227, 141, 543, 1499, 3525, 3127, 11191, 4071, 47003, 7431, 155137}},
-{21192, 18, 130927, {1, 3, 1, 11, 27, 31, 15, 31, 113, 135, 1251, 245, 6965, 14263, 5679, 55201, 121453, 132503}},
-{21193, 18, 130929, {1, 1, 5, 15, 7, 23, 67, 163, 57, 513, 1809, 1343, 6165, 199, 31169, 30803, 86705, 71103}},
-{21194, 18, 130958, {1, 1, 3, 1, 15, 9, 75, 143, 273, 797, 819, 4037, 2305, 4841, 15697, 41191, 38187, 174131}},
-{21195, 18, 130966, {1, 3, 7, 7, 3, 55, 65, 135, 423, 185, 299, 2221, 7987, 4223, 28183, 32273, 95941, 260297}},
-{21196, 18, 130970, {1, 1, 7, 7, 7, 11, 67, 109, 507, 673, 1555, 2537, 7553, 4659, 3945, 20839, 32539, 43053}},
-{21197, 18, 130976, {1, 1, 7, 15, 1, 47, 61, 73, 211, 397, 1785, 4063, 6461, 13725, 11299, 17565, 80063, 118271}},
-{21198, 18, 131006, {1, 1, 7, 5, 29, 27, 97, 105, 379, 153, 915, 2795, 4933, 6729, 21207, 9995, 70241, 85641}},
-{21199, 18, 131008, {1, 3, 5, 5, 23, 13, 41, 67, 127, 649, 1351, 3597, 7077, 4989, 14649, 17401, 70883, 239841}},
-{21200, 18, 131020, {1, 1, 5, 1, 19, 1, 83, 3, 425, 873, 1943, 3935, 4257, 14587, 11829, 55217, 21963, 39683}},
-{21201, 18, 131059, {1, 1, 7, 11, 15, 7, 37, 239, 337, 245, 1557, 3681, 7357, 9639, 27367, 26869, 114603, 86317}}
-};
-/* clang-format on */
-
-void sobol_generate_direction_vectors(uint vectors[][SOBOL_BITS], int dimensions)
-{
-  assert(dimensions <= SOBOL_MAX_DIMENSIONS);
-
-  const uint L = SOBOL_BITS;
-
-  /* first dimension is exception */
-  uint *v = vectors[0];
-
-  for (uint i = 0; i < L; i++)
-    v[i] = 1 << (31 - i);  // all m's = 1
-
-  for (int dim = 1; dim < dimensions; dim++) {
-    const SobolDirectionNumbers *numbers = &SOBOL_NUMBERS[dim - 1];
-    const uint s = numbers->s;
-    const uint a = numbers->a;
-    const uint *m = numbers->m;
-
-    v = vectors[dim];
-
-    if (L <= s) {
-      for (uint i = 0; i < L; i++)
-        v[i] = m[i] << (31 - i);
-    }
-    else {
-      for (uint i = 0; i < s; i++)
-        v[i] = m[i] << (31 - i);
-
-      for (uint i = s; i < L; i++) {
-        v[i] = v[i - s] ^ (v[i - s] >> s);
-
-        for (uint k = 1; k < s; k++)
-          v[i] ^= (((a >> (s - 1 - k)) & 1) * v[i - k]);
-      }
-    }
-  }
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/sobol.h b/intern/cycles/render/sobol.h
deleted file mode 100644
index d38857d2b35..00000000000
--- a/intern/cycles/render/sobol.h
+++ /dev/null
@@ -1,31 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __SOBOL_H__
-#define __SOBOL_H__
-
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-#define SOBOL_BITS 32
-#define SOBOL_MAX_DIMENSIONS 21201
-
-void sobol_generate_direction_vectors(uint vectors[][SOBOL_BITS], int dimensions);
-
-CCL_NAMESPACE_END
-
-#endif /* __SOBOL_H__ */
diff --git a/intern/cycles/render/stats.cpp b/intern/cycles/render/stats.cpp
deleted file mode 100644
index 73eb7e21ff9..00000000000
--- a/intern/cycles/render/stats.cpp
+++ /dev/null
@@ -1,382 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/stats.h"
-#include "render/object.h"
-#include "util/util_algorithm.h"
-#include "util/util_foreach.h"
-#include "util/util_string.h"
-
-CCL_NAMESPACE_BEGIN
-
-static int kIndentNumSpaces = 2;
-
-/* Named size entry. */
-
-namespace {
-
-bool namedSizeEntryComparator(const NamedSizeEntry &a, const NamedSizeEntry &b)
-{
-  /* We sort in descending order. */
-  return a.size > b.size;
-}
-
-bool namedTimeEntryComparator(const NamedTimeEntry &a, const NamedTimeEntry &b)
-{
-  /* We sort in descending order. */
-  return a.time > b.time;
-}
-
-bool namedTimeSampleEntryComparator(const NamedNestedSampleStats &a,
-                                    const NamedNestedSampleStats &b)
-{
-  return a.sum_samples > b.sum_samples;
-}
-
-bool namedSampleCountPairComparator(const NamedSampleCountPair &a, const NamedSampleCountPair &b)
-{
-  return a.samples > b.samples;
-}
-
-}  // namespace
-
-NamedSizeEntry::NamedSizeEntry() : name(""), size(0)
-{
-}
-
-NamedSizeEntry::NamedSizeEntry(const string &name, size_t size) : name(name), size(size)
-{
-}
-
-NamedTimeEntry::NamedTimeEntry() : name(""), time(0)
-{
-}
-
-NamedTimeEntry::NamedTimeEntry(const string &name, double time) : name(name), time(time)
-{
-}
-
-/* Named size statistics. */
-
-NamedSizeStats::NamedSizeStats() : total_size(0)
-{
-}
-
-void NamedSizeStats::add_entry(const NamedSizeEntry &entry)
-{
-  total_size += entry.size;
-  entries.push_back(entry);
-}
-
-string NamedSizeStats::full_report(int indent_level)
-{
-  const string indent(indent_level * kIndentNumSpaces, ' ');
-  const string double_indent = indent + indent;
-  string result = "";
-  result += string_printf("%sTotal memory: %s (%s)\n",
-                          indent.c_str(),
-                          string_human_readable_size(total_size).c_str(),
-                          string_human_readable_number(total_size).c_str());
-  sort(entries.begin(), entries.end(), namedSizeEntryComparator);
-  foreach (const NamedSizeEntry &entry, entries) {
-    result += string_printf("%s%-32s %s (%s)\n",
-                            double_indent.c_str(),
-                            entry.name.c_str(),
-                            string_human_readable_size(entry.size).c_str(),
-                            string_human_readable_number(entry.size).c_str());
-  }
-  return result;
-}
-
-string NamedTimeStats::full_report(int indent_level)
-{
-  const string indent(indent_level * kIndentNumSpaces, ' ');
-  const string double_indent = indent + indent;
-  string result = "";
-  result += string_printf("%sTotal time: %fs\n", indent.c_str(), total_time);
-  sort(entries.begin(), entries.end(), namedTimeEntryComparator);
-  foreach (const NamedTimeEntry &entry, entries) {
-    result += string_printf(
-        "%s%-40s %fs\n", double_indent.c_str(), entry.name.c_str(), entry.time);
-  }
-  return result;
-}
-
-/* Named time sample statistics. */
-
-NamedNestedSampleStats::NamedNestedSampleStats() : name(""), self_samples(0), sum_samples(0)
-{
-}
-
-NamedNestedSampleStats::NamedNestedSampleStats(const string &name, uint64_t samples)
-    : name(name), self_samples(samples), sum_samples(samples)
-{
-}
-
-NamedNestedSampleStats &NamedNestedSampleStats::add_entry(const string &name_, uint64_t samples_)
-{
-  entries.push_back(NamedNestedSampleStats(name_, samples_));
-  return entries[entries.size() - 1];
-}
-
-void NamedNestedSampleStats::update_sum()
-{
-  sum_samples = self_samples;
-  foreach (NamedNestedSampleStats &entry, entries) {
-    entry.update_sum();
-    sum_samples += entry.sum_samples;
-  }
-}
-
-string NamedNestedSampleStats::full_report(int indent_level, uint64_t total_samples)
-{
-  update_sum();
-
-  if (total_samples == 0) {
-    total_samples = sum_samples;
-  }
-
-  const string indent(indent_level * kIndentNumSpaces, ' ');
-
-  const double sum_percent = 100 * ((double)sum_samples) / total_samples;
-  const double sum_seconds = sum_samples * 0.001;
-  const double self_percent = 100 * ((double)self_samples) / total_samples;
-  const double self_seconds = self_samples * 0.001;
-  string info = string_printf("%-32s: Total %3.2f%% (%.2fs), Self %3.2f%% (%.2fs)\n",
-                              name.c_str(),
-                              sum_percent,
-                              sum_seconds,
-                              self_percent,
-                              self_seconds);
-  string result = indent + info;
-
-  sort(entries.begin(), entries.end(), namedTimeSampleEntryComparator);
-  foreach (NamedNestedSampleStats &entry, entries) {
-    result += entry.full_report(indent_level + 1, total_samples);
-  }
-  return result;
-}
-
-/* Named sample count pairs. */
-
-NamedSampleCountPair::NamedSampleCountPair(const ustring &name, uint64_t samples, uint64_t hits)
-    : name(name), samples(samples), hits(hits)
-{
-}
-
-NamedSampleCountStats::NamedSampleCountStats()
-{
-}
-
-void NamedSampleCountStats::add(const ustring &name, uint64_t samples, uint64_t hits)
-{
-  entry_map::iterator entry = entries.find(name);
-  if (entry != entries.end()) {
-    entry->second.samples += samples;
-    entry->second.hits += hits;
-    return;
-  }
-  entries.emplace(name, NamedSampleCountPair(name, samples, hits));
-}
-
-string NamedSampleCountStats::full_report(int indent_level)
-{
-  const string indent(indent_level * kIndentNumSpaces, ' ');
-
-  vector<NamedSampleCountPair> sorted_entries;
-  sorted_entries.reserve(entries.size());
-
-  uint64_t total_hits = 0, total_samples = 0;
-  foreach (entry_map::const_reference entry, entries) {
-    const NamedSampleCountPair &pair = entry.second;
-
-    total_hits += pair.hits;
-    total_samples += pair.samples;
-
-    sorted_entries.push_back(pair);
-  }
-  const double avg_samples_per_hit = ((double)total_samples) / total_hits;
-
-  sort(sorted_entries.begin(), sorted_entries.end(), namedSampleCountPairComparator);
-
-  string result = "";
-  foreach (const NamedSampleCountPair &entry, sorted_entries) {
-    const double seconds = entry.samples * 0.001;
-    const double relative = ((double)entry.samples) / (entry.hits * avg_samples_per_hit);
-
-    result += indent +
-              string_printf(
-                  "%-32s: %.2fs (Relative cost: %.2f)\n", entry.name.c_str(), seconds, relative);
-  }
-  return result;
-}
-
-/* Mesh statistics. */
-
-MeshStats::MeshStats()
-{
-}
-
-string MeshStats::full_report(int indent_level)
-{
-  const string indent(indent_level * kIndentNumSpaces, ' ');
-  string result = "";
-  result += indent + "Geometry:\n" + geometry.full_report(indent_level + 1);
-  return result;
-}
-
-/* Image statistics. */
-
-ImageStats::ImageStats()
-{
-}
-
-string ImageStats::full_report(int indent_level)
-{
-  const string indent(indent_level * kIndentNumSpaces, ' ');
-  string result = "";
-  result += indent + "Textures:\n" + textures.full_report(indent_level + 1);
-  return result;
-}
-
-/* Overall statistics. */
-
-RenderStats::RenderStats()
-{
-  has_profiling = false;
-}
-
-void RenderStats::collect_profiling(Scene *scene, Profiler &prof)
-{
-  has_profiling = true;
-
-  kernel = NamedNestedSampleStats("Total render time", prof.get_event(PROFILING_UNKNOWN));
-  kernel.add_entry("Ray setup", prof.get_event(PROFILING_RAY_SETUP));
-  kernel.add_entry("Intersect Closest", prof.get_event(PROFILING_INTERSECT_CLOSEST));
-  kernel.add_entry("Intersect Shadow", prof.get_event(PROFILING_INTERSECT_SHADOW));
-  kernel.add_entry("Intersect Subsurface", prof.get_event(PROFILING_INTERSECT_SUBSURFACE));
-  kernel.add_entry("Intersect Volume Stack", prof.get_event(PROFILING_INTERSECT_VOLUME_STACK));
-
-  NamedNestedSampleStats &surface = kernel.add_entry("Shade Surface", 0);
-  surface.add_entry("Setup", prof.get_event(PROFILING_SHADE_SURFACE_SETUP));
-  surface.add_entry("Shader Evaluation", prof.get_event(PROFILING_SHADE_SURFACE_EVAL));
-  surface.add_entry("Render Passes", prof.get_event(PROFILING_SHADE_SURFACE_PASSES));
-  surface.add_entry("Direct Light", prof.get_event(PROFILING_SHADE_SURFACE_DIRECT_LIGHT));
-  surface.add_entry("Indirect Light", prof.get_event(PROFILING_SHADE_SURFACE_INDIRECT_LIGHT));
-  surface.add_entry("Ambient Occlusion", prof.get_event(PROFILING_SHADE_SURFACE_AO));
-
-  NamedNestedSampleStats &volume = kernel.add_entry("Shade Volume", 0);
-  volume.add_entry("Setup", prof.get_event(PROFILING_SHADE_VOLUME_SETUP));
-  volume.add_entry("Integrate", prof.get_event(PROFILING_SHADE_VOLUME_INTEGRATE));
-  volume.add_entry("Direct Light", prof.get_event(PROFILING_SHADE_VOLUME_DIRECT_LIGHT));
-  volume.add_entry("Indirect Light", prof.get_event(PROFILING_SHADE_VOLUME_INDIRECT_LIGHT));
-
-  NamedNestedSampleStats &shadow = kernel.add_entry("Shade Shadow", 0);
-  shadow.add_entry("Setup", prof.get_event(PROFILING_SHADE_SHADOW_SETUP));
-  shadow.add_entry("Surface", prof.get_event(PROFILING_SHADE_SHADOW_SURFACE));
-  shadow.add_entry("Volume", prof.get_event(PROFILING_SHADE_SHADOW_VOLUME));
-
-  NamedNestedSampleStats &light = kernel.add_entry("Shade Light", 0);
-  light.add_entry("Setup", prof.get_event(PROFILING_SHADE_LIGHT_SETUP));
-  light.add_entry("Shader Evaluation", prof.get_event(PROFILING_SHADE_LIGHT_EVAL));
-
-  shaders.entries.clear();
-  foreach (Shader *shader, scene->shaders) {
-    uint64_t samples, hits;
-    if (prof.get_shader(shader->id, samples, hits)) {
-      shaders.add(shader->name, samples, hits);
-    }
-  }
-
-  objects.entries.clear();
-  foreach (Object *object, scene->objects) {
-    uint64_t samples, hits;
-    if (prof.get_object(object->get_device_index(), samples, hits)) {
-      objects.add(object->name, samples, hits);
-    }
-  }
-}
-
-string RenderStats::full_report()
-{
-  string result = "";
-  result += "Mesh statistics:\n" + mesh.full_report(1);
-  result += "Image statistics:\n" + image.full_report(1);
-  if (has_profiling) {
-    result += "Kernel statistics:\n" + kernel.full_report(1);
-    result += "Shader statistics:\n" + shaders.full_report(1);
-    result += "Object statistics:\n" + objects.full_report(1);
-  }
-  else {
-    result += "Profiling information not available (only works with CPU rendering)";
-  }
-  return result;
-}
-
-NamedTimeStats::NamedTimeStats() : total_time(0.0)
-{
-}
-
-string UpdateTimeStats::full_report(int indent_level)
-{
-  return times.full_report(indent_level + 1);
-}
-
-SceneUpdateStats::SceneUpdateStats()
-{
-}
-
-string SceneUpdateStats::full_report()
-{
-  string result = "";
-  result += "Scene:\n" + scene.full_report(1);
-  result += "Geometry:\n" + geometry.full_report(1);
-  result += "Light:\n" + light.full_report(1);
-  result += "Object:\n" + object.full_report(1);
-  result += "Image:\n" + image.full_report(1);
-  result += "Background:\n" + background.full_report(1);
-  result += "Bake:\n" + bake.full_report(1);
-  result += "Camera:\n" + camera.full_report(1);
-  result += "Film:\n" + film.full_report(1);
-  result += "Integrator:\n" + integrator.full_report(1);
-  result += "OSL:\n" + osl.full_report(1);
-  result += "Particles:\n" + particles.full_report(1);
-  result += "SVM:\n" + svm.full_report(1);
-  result += "Tables:\n" + tables.full_report(1);
-  result += "Procedurals:\n" + procedurals.full_report(1);
-  return result;
-}
-
-void SceneUpdateStats::clear()
-{
-  geometry.times.clear();
-  image.times.clear();
-  light.times.clear();
-  object.times.clear();
-  background.times.clear();
-  bake.times.clear();
-  camera.times.clear();
-  film.times.clear();
-  integrator.times.clear();
-  osl.times.clear();
-  particles.times.clear();
-  scene.times.clear();
-  svm.times.clear();
-  tables.times.clear();
-  procedurals.times.clear();
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/stats.h b/intern/cycles/render/stats.h
deleted file mode 100644
index 93d029bba61..00000000000
--- a/intern/cycles/render/stats.h
+++ /dev/null
@@ -1,231 +0,0 @@
-/*
- * Copyright 2011-2018 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __RENDER_STATS_H__
-#define __RENDER_STATS_H__
-
-#include "render/scene.h"
-
-#include "util/util_stats.h"
-#include "util/util_string.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Named statistics entry, which corresponds to a size. There is no real
- * semantic around the units of size, it just should be the same for all
- * entries.
- *
- * This is a generic entry for all size-related statistics, which helps
- * avoiding duplicating code for things like sorting.
- */
-class NamedSizeEntry {
- public:
-  NamedSizeEntry();
-  NamedSizeEntry(const string &name, size_t size);
-
-  string name;
-  size_t size;
-};
-
-class NamedTimeEntry {
- public:
-  NamedTimeEntry();
-  NamedTimeEntry(const string &name, double time);
-
-  string name;
-  double time;
-};
-
-/* Container of named size entries. Used, for example, to store per-mesh memory
- * usage statistics. But also keeps track of overall memory usage of the
- * container.
- */
-class NamedSizeStats {
- public:
-  NamedSizeStats();
-
-  /* Add entry to the statistics. */
-  void add_entry(const NamedSizeEntry &entry);
-
-  /* Generate full human-readable report. */
-  string full_report(int indent_level = 0);
-
-  /* Total size of all entries. */
-  size_t total_size;
-
-  /* NOTE: Is fine to read directly, but for adding use add_entry(), which
-   * makes sure all accumulating  values are properly updated.
-   */
-  vector<NamedSizeEntry> entries;
-};
-
-class NamedTimeStats {
- public:
-  NamedTimeStats();
-
-  /* Add entry to the statistics. */
-  void add_entry(const NamedTimeEntry &entry)
-  {
-    total_time += entry.time;
-    entries.push_back(entry);
-  }
-
-  /* Generate full human-readable report. */
-  string full_report(int indent_level = 0);
-
-  /* Total time of all entries. */
-  double total_time;
-
-  /* NOTE: Is fine to read directly, but for adding use add_entry(), which
-   * makes sure all accumulating  values are properly updated.
-   */
-  vector<NamedTimeEntry> entries;
-
-  void clear()
-  {
-    total_time = 0.0;
-    entries.clear();
-  }
-};
-
-class NamedNestedSampleStats {
- public:
-  NamedNestedSampleStats();
-  NamedNestedSampleStats(const string &name, uint64_t samples);
-
-  NamedNestedSampleStats &add_entry(const string &name, uint64_t samples);
-
-  /* Updates sum_samples recursively. */
-  void update_sum();
-
-  string full_report(int indent_level = 0, uint64_t total_samples = 0);
-
-  string name;
-
-  /* self_samples contains only the samples that this specific event got,
-   * while sum_samples also includes the samples of all sub-entries. */
-  uint64_t self_samples, sum_samples;
-
-  vector<NamedNestedSampleStats> entries;
-};
-
-/* Named entry containing both a time-sample count for objects of a type and a
- * total count of processed items.
- * This allows to estimate the time spent per item. */
-class NamedSampleCountPair {
- public:
-  NamedSampleCountPair(const ustring &name, uint64_t samples, uint64_t hits);
-
-  ustring name;
-  uint64_t samples;
-  uint64_t hits;
-};
-
-/* Contains statistics about pairs of samples and counts as described above. */
-class NamedSampleCountStats {
- public:
-  NamedSampleCountStats();
-
-  string full_report(int indent_level = 0);
-  void add(const ustring &name, uint64_t samples, uint64_t hits);
-
-  typedef unordered_map<ustring, NamedSampleCountPair, ustringHash> entry_map;
-  entry_map entries;
-};
-
-/* Statistics about mesh in the render database. */
-class MeshStats {
- public:
-  MeshStats();
-
-  /* Generate full human-readable report. */
-  string full_report(int indent_level = 0);
-
-  /* Input geometry statistics, this is what is coming as an input to render
-   * from. say, Blender. This does not include runtime or engine specific
-   * memory like BVH.
-   */
-  NamedSizeStats geometry;
-};
-
-/* Statistics about images held in memory. */
-class ImageStats {
- public:
-  ImageStats();
-
-  /* Generate full human-readable report. */
-  string full_report(int indent_level = 0);
-
-  NamedSizeStats textures;
-};
-
-/* Render process statistics. */
-class RenderStats {
- public:
-  RenderStats();
-
-  /* Return full report as string. */
-  string full_report();
-
-  /* Collect kernel sampling information from Stats. */
-  void collect_profiling(Scene *scene, Profiler &prof);
-
-  bool has_profiling;
-
-  MeshStats mesh;
-  ImageStats image;
-  NamedNestedSampleStats kernel;
-  NamedSampleCountStats shaders;
-  NamedSampleCountStats objects;
-};
-
-class UpdateTimeStats {
- public:
-  /* Generate full human-readable report. */
-  string full_report(int indent_level = 0);
-
-  NamedTimeStats times;
-};
-
-class SceneUpdateStats {
- public:
-  SceneUpdateStats();
-
-  UpdateTimeStats geometry;
-  UpdateTimeStats image;
-  UpdateTimeStats light;
-  UpdateTimeStats object;
-  UpdateTimeStats background;
-  UpdateTimeStats bake;
-  UpdateTimeStats camera;
-  UpdateTimeStats film;
-  UpdateTimeStats integrator;
-  UpdateTimeStats osl;
-  UpdateTimeStats particles;
-  UpdateTimeStats scene;
-  UpdateTimeStats svm;
-  UpdateTimeStats tables;
-  UpdateTimeStats procedurals;
-
-  string full_report();
-
-  void clear();
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __RENDER_STATS_H__ */
diff --git a/intern/cycles/render/svm.cpp b/intern/cycles/render/svm.cpp
deleted file mode 100644
index 2379eb775a0..00000000000
--- a/intern/cycles/render/svm.cpp
+++ /dev/null
@@ -1,984 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "device/device.h"
-
-#include "render/background.h"
-#include "render/graph.h"
-#include "render/light.h"
-#include "render/mesh.h"
-#include "render/nodes.h"
-#include "render/scene.h"
-#include "render/shader.h"
-#include "render/stats.h"
-#include "render/svm.h"
-
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_progress.h"
-#include "util/util_task.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Shader Manager */
-
-SVMShaderManager::SVMShaderManager()
-{
-}
-
-SVMShaderManager::~SVMShaderManager()
-{
-}
-
-void SVMShaderManager::reset(Scene * /*scene*/)
-{
-}
-
-void SVMShaderManager::device_update_shader(Scene *scene,
-                                            Shader *shader,
-                                            Progress *progress,
-                                            array<int4> *svm_nodes)
-{
-  if (progress->get_cancel()) {
-    return;
-  }
-  assert(shader->graph);
-
-  svm_nodes->push_back_slow(make_int4(NODE_SHADER_JUMP, 0, 0, 0));
-
-  SVMCompiler::Summary summary;
-  SVMCompiler compiler(scene);
-  compiler.background = (shader == scene->background->get_shader(scene));
-  compiler.compile(shader, *svm_nodes, 0, &summary);
-
-  VLOG(2) << "Compilation summary:\n"
-          << "Shader name: " << shader->name << "\n"
-          << summary.full_report();
-}
-
-void SVMShaderManager::device_update_specific(Device *device,
-                                              DeviceScene *dscene,
-                                              Scene *scene,
-                                              Progress &progress)
-{
-  if (!need_update())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->svm.times.add_entry({"device_update", time});
-    }
-  });
-
-  const int num_shaders = scene->shaders.size();
-
-  VLOG(1) << "Total " << num_shaders << " shaders.";
-
-  double start_time = time_dt();
-
-  /* test if we need to update */
-  device_free(device, dscene, scene);
-
-  /* Build all shaders. */
-  TaskPool task_pool;
-  vector<array<int4>> shader_svm_nodes(num_shaders);
-  for (int i = 0; i < num_shaders; i++) {
-    task_pool.push(function_bind(&SVMShaderManager::device_update_shader,
-                                 this,
-                                 scene,
-                                 scene->shaders[i],
-                                 &progress,
-                                 &shader_svm_nodes[i]));
-  }
-  task_pool.wait_work();
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  /* The global node list contains a jump table (one node per shader)
-   * followed by the nodes of all shaders. */
-  int svm_nodes_size = num_shaders;
-  for (int i = 0; i < num_shaders; i++) {
-    /* Since we're not copying the local jump node, the size ends up being one node lower. */
-    svm_nodes_size += shader_svm_nodes[i].size() - 1;
-  }
-
-  int4 *svm_nodes = dscene->svm_nodes.alloc(svm_nodes_size);
-
-  int node_offset = num_shaders;
-  for (int i = 0; i < num_shaders; i++) {
-    Shader *shader = scene->shaders[i];
-
-    shader->clear_modified();
-    if (shader->get_use_mis() && shader->has_surface_emission) {
-      scene->light_manager->tag_update(scene, LightManager::SHADER_COMPILED);
-    }
-
-    /* Update the global jump table.
-     * Each compiled shader starts with a jump node that has offsets local
-     * to the shader, so copy those and add the offset into the global node list. */
-    int4 &global_jump_node = svm_nodes[shader->id];
-    int4 &local_jump_node = shader_svm_nodes[i][0];
-
-    global_jump_node.x = NODE_SHADER_JUMP;
-    global_jump_node.y = local_jump_node.y - 1 + node_offset;
-    global_jump_node.z = local_jump_node.z - 1 + node_offset;
-    global_jump_node.w = local_jump_node.w - 1 + node_offset;
-
-    node_offset += shader_svm_nodes[i].size() - 1;
-  }
-
-  /* Copy the nodes of each shader into the correct location. */
-  svm_nodes += num_shaders;
-  for (int i = 0; i < num_shaders; i++) {
-    int shader_size = shader_svm_nodes[i].size() - 1;
-
-    memcpy(svm_nodes, &shader_svm_nodes[i][1], sizeof(int4) * shader_size);
-    svm_nodes += shader_size;
-  }
-
-  if (progress.get_cancel()) {
-    return;
-  }
-
-  dscene->svm_nodes.copy_to_device();
-
-  device_update_common(device, dscene, scene, progress);
-
-  update_flags = UPDATE_NONE;
-
-  VLOG(1) << "Shader manager updated " << num_shaders << " shaders in " << time_dt() - start_time
-          << " seconds.";
-}
-
-void SVMShaderManager::device_free(Device *device, DeviceScene *dscene, Scene *scene)
-{
-  device_free_common(device, dscene, scene);
-
-  dscene->svm_nodes.free();
-}
-
-/* Graph Compiler */
-
-SVMCompiler::SVMCompiler(Scene *scene) : scene(scene)
-{
-  max_stack_use = 0;
-  current_type = SHADER_TYPE_SURFACE;
-  current_shader = NULL;
-  current_graph = NULL;
-  background = false;
-  mix_weight_offset = SVM_STACK_INVALID;
-  compile_failed = false;
-}
-
-int SVMCompiler::stack_size(SocketType::Type type)
-{
-  int size = 0;
-
-  switch (type) {
-    case SocketType::FLOAT:
-    case SocketType::INT:
-      size = 1;
-      break;
-    case SocketType::COLOR:
-    case SocketType::VECTOR:
-    case SocketType::NORMAL:
-    case SocketType::POINT:
-      size = 3;
-      break;
-    case SocketType::CLOSURE:
-      size = 0;
-      break;
-    default:
-      assert(0);
-      break;
-  }
-
-  return size;
-}
-
-int SVMCompiler::stack_find_offset(int size)
-{
-  int offset = -1;
-
-  /* find free space in stack & mark as used */
-  for (int i = 0, num_unused = 0; i < SVM_STACK_SIZE; i++) {
-    if (active_stack.users[i])
-      num_unused = 0;
-    else
-      num_unused++;
-
-    if (num_unused == size) {
-      offset = i + 1 - size;
-      max_stack_use = max(i + 1, max_stack_use);
-
-      while (i >= offset)
-        active_stack.users[i--] = 1;
-
-      return offset;
-    }
-  }
-
-  if (!compile_failed) {
-    compile_failed = true;
-    fprintf(stderr,
-            "Cycles: out of SVM stack space, shader \"%s\" too big.\n",
-            current_shader->name.c_str());
-  }
-
-  return 0;
-}
-
-int SVMCompiler::stack_find_offset(SocketType::Type type)
-{
-  return stack_find_offset(stack_size(type));
-}
-
-void SVMCompiler::stack_clear_offset(SocketType::Type type, int offset)
-{
-  int size = stack_size(type);
-
-  for (int i = 0; i < size; i++)
-    active_stack.users[offset + i]--;
-}
-
-int SVMCompiler::stack_assign(ShaderInput *input)
-{
-  /* stack offset assign? */
-  if (input->stack_offset == SVM_STACK_INVALID) {
-    if (input->link) {
-      /* linked to output -> use output offset */
-      assert(input->link->stack_offset != SVM_STACK_INVALID);
-      input->stack_offset = input->link->stack_offset;
-    }
-    else {
-      Node *node = input->parent;
-
-      /* not linked to output -> add nodes to load default value */
-      input->stack_offset = stack_find_offset(input->type());
-
-      if (input->type() == SocketType::FLOAT) {
-        add_node(NODE_VALUE_F,
-                 __float_as_int(node->get_float(input->socket_type)),
-                 input->stack_offset);
-      }
-      else if (input->type() == SocketType::INT) {
-        add_node(NODE_VALUE_F, node->get_int(input->socket_type), input->stack_offset);
-      }
-      else if (input->type() == SocketType::VECTOR || input->type() == SocketType::NORMAL ||
-               input->type() == SocketType::POINT || input->type() == SocketType::COLOR) {
-
-        add_node(NODE_VALUE_V, input->stack_offset);
-        add_node(NODE_VALUE_V, node->get_float3(input->socket_type));
-      }
-      else /* should not get called for closure */
-        assert(0);
-    }
-  }
-
-  return input->stack_offset;
-}
-
-int SVMCompiler::stack_assign(ShaderOutput *output)
-{
-  /* if no stack offset assigned yet, find one */
-  if (output->stack_offset == SVM_STACK_INVALID)
-    output->stack_offset = stack_find_offset(output->type());
-
-  return output->stack_offset;
-}
-
-int SVMCompiler::stack_assign_if_linked(ShaderInput *input)
-{
-  if (input->link || input->constant_folded_in)
-    return stack_assign(input);
-
-  return SVM_STACK_INVALID;
-}
-
-int SVMCompiler::stack_assign_if_linked(ShaderOutput *output)
-{
-  if (!output->links.empty())
-    return stack_assign(output);
-
-  return SVM_STACK_INVALID;
-}
-
-void SVMCompiler::stack_link(ShaderInput *input, ShaderOutput *output)
-{
-  if (output->stack_offset == SVM_STACK_INVALID) {
-    assert(input->link);
-    assert(stack_size(output->type()) == stack_size(input->link->type()));
-
-    output->stack_offset = input->link->stack_offset;
-
-    int size = stack_size(output->type());
-
-    for (int i = 0; i < size; i++)
-      active_stack.users[output->stack_offset + i]++;
-  }
-}
-
-void SVMCompiler::stack_clear_users(ShaderNode *node, ShaderNodeSet &done)
-{
-  /* optimization we should add:
-   * find and lower user counts for outputs for which all inputs are done.
-   * this is done before the node is compiled, under the assumption that the
-   * node will first load all inputs from the stack and then writes its
-   * outputs. this used to work, but was disabled because it gave trouble
-   * with inputs getting stack positions assigned */
-
-  foreach (ShaderInput *input, node->inputs) {
-    ShaderOutput *output = input->link;
-
-    if (output && output->stack_offset != SVM_STACK_INVALID) {
-      bool all_done = true;
-
-      /* optimization we should add: verify if in->parent is actually used */
-      foreach (ShaderInput *in, output->links)
-        if (in->parent != node && done.find(in->parent) == done.end())
-          all_done = false;
-
-      if (all_done) {
-        stack_clear_offset(output->type(), output->stack_offset);
-        output->stack_offset = SVM_STACK_INVALID;
-
-        foreach (ShaderInput *in, output->links)
-          in->stack_offset = SVM_STACK_INVALID;
-      }
-    }
-  }
-}
-
-void SVMCompiler::stack_clear_temporary(ShaderNode *node)
-{
-  foreach (ShaderInput *input, node->inputs) {
-    if (!input->link && input->stack_offset != SVM_STACK_INVALID) {
-      stack_clear_offset(input->type(), input->stack_offset);
-      input->stack_offset = SVM_STACK_INVALID;
-    }
-  }
-}
-
-uint SVMCompiler::encode_uchar4(uint x, uint y, uint z, uint w)
-{
-  assert(x <= 255);
-  assert(y <= 255);
-  assert(z <= 255);
-  assert(w <= 255);
-
-  return (x) | (y << 8) | (z << 16) | (w << 24);
-}
-
-void SVMCompiler::add_node(int a, int b, int c, int d)
-{
-  current_svm_nodes.push_back_slow(make_int4(a, b, c, d));
-}
-
-void SVMCompiler::add_node(ShaderNodeType type, int a, int b, int c)
-{
-  current_svm_nodes.push_back_slow(make_int4(type, a, b, c));
-}
-
-void SVMCompiler::add_node(ShaderNodeType type, const float3 &f)
-{
-  current_svm_nodes.push_back_slow(
-      make_int4(type, __float_as_int(f.x), __float_as_int(f.y), __float_as_int(f.z)));
-}
-
-void SVMCompiler::add_node(const float4 &f)
-{
-  current_svm_nodes.push_back_slow(make_int4(
-      __float_as_int(f.x), __float_as_int(f.y), __float_as_int(f.z), __float_as_int(f.w)));
-}
-
-uint SVMCompiler::attribute(ustring name)
-{
-  return scene->shader_manager->get_attribute_id(name);
-}
-
-uint SVMCompiler::attribute(AttributeStandard std)
-{
-  return scene->shader_manager->get_attribute_id(std);
-}
-
-uint SVMCompiler::attribute_standard(ustring name)
-{
-  AttributeStandard std = Attribute::name_standard(name.c_str());
-  return (std) ? attribute(std) : attribute(name);
-}
-
-void SVMCompiler::find_dependencies(ShaderNodeSet &dependencies,
-                                    const ShaderNodeSet &done,
-                                    ShaderInput *input,
-                                    ShaderNode *skip_node)
-{
-  ShaderNode *node = (input->link) ? input->link->parent : NULL;
-  if (node != NULL && done.find(node) == done.end() && node != skip_node &&
-      dependencies.find(node) == dependencies.end()) {
-    foreach (ShaderInput *in, node->inputs) {
-      find_dependencies(dependencies, done, in, skip_node);
-    }
-    dependencies.insert(node);
-  }
-}
-
-void SVMCompiler::generate_node(ShaderNode *node, ShaderNodeSet &done)
-{
-  node->compile(*this);
-  stack_clear_users(node, done);
-  stack_clear_temporary(node);
-
-  if (current_type == SHADER_TYPE_SURFACE) {
-    if (node->has_spatial_varying())
-      current_shader->has_surface_spatial_varying = true;
-    if (node->get_feature() & KERNEL_FEATURE_NODE_RAYTRACE)
-      current_shader->has_surface_raytrace = true;
-  }
-  else if (current_type == SHADER_TYPE_VOLUME) {
-    if (node->has_spatial_varying())
-      current_shader->has_volume_spatial_varying = true;
-    if (node->has_attribute_dependency())
-      current_shader->has_volume_attribute_dependency = true;
-  }
-
-  if (node->has_integrator_dependency()) {
-    current_shader->has_integrator_dependency = true;
-  }
-}
-
-void SVMCompiler::generate_svm_nodes(const ShaderNodeSet &nodes, CompilerState *state)
-{
-  ShaderNodeSet &done = state->nodes_done;
-  vector<bool> &done_flag = state->nodes_done_flag;
-
-  bool nodes_done;
-  do {
-    nodes_done = true;
-
-    foreach (ShaderNode *node, nodes) {
-      if (!done_flag[node->id]) {
-        bool inputs_done = true;
-
-        foreach (ShaderInput *input, node->inputs) {
-          if (input->link && !done_flag[input->link->parent->id]) {
-            inputs_done = false;
-          }
-        }
-        if (inputs_done) {
-          generate_node(node, done);
-          done.insert(node);
-          done_flag[node->id] = true;
-        }
-        else {
-          nodes_done = false;
-        }
-      }
-    }
-  } while (!nodes_done);
-}
-
-void SVMCompiler::generate_closure_node(ShaderNode *node, CompilerState *state)
-{
-  /* Skip generating closure that are not supported or needed for a particular
-   * type of shader. For example a BSDF in a volume shader. */
-  const int node_feature = node->get_feature();
-  if ((state->node_feature_mask & node_feature) != node_feature) {
-    return;
-  }
-
-  /* execute dependencies for closure */
-  foreach (ShaderInput *in, node->inputs) {
-    if (in->link != NULL) {
-      ShaderNodeSet dependencies;
-      find_dependencies(dependencies, state->nodes_done, in);
-      generate_svm_nodes(dependencies, state);
-    }
-  }
-
-  /* closure mix weight */
-  const char *weight_name = (current_type == SHADER_TYPE_VOLUME) ? "VolumeMixWeight" :
-                                                                   "SurfaceMixWeight";
-  ShaderInput *weight_in = node->input(weight_name);
-
-  if (weight_in && (weight_in->link || node->get_float(weight_in->socket_type) != 1.0f))
-    mix_weight_offset = stack_assign(weight_in);
-  else
-    mix_weight_offset = SVM_STACK_INVALID;
-
-  /* compile closure itself */
-  generate_node(node, state->nodes_done);
-
-  mix_weight_offset = SVM_STACK_INVALID;
-
-  if (current_type == SHADER_TYPE_SURFACE) {
-    if (node->has_surface_emission())
-      current_shader->has_surface_emission = true;
-    if (node->has_surface_transparent())
-      current_shader->has_surface_transparent = true;
-    if (node->has_surface_bssrdf()) {
-      current_shader->has_surface_bssrdf = true;
-      if (node->has_bssrdf_bump())
-        current_shader->has_bssrdf_bump = true;
-    }
-    if (node->has_bump()) {
-      current_shader->has_bump = true;
-    }
-  }
-}
-
-void SVMCompiler::generated_shared_closure_nodes(ShaderNode *root_node,
-                                                 ShaderNode *node,
-                                                 CompilerState *state,
-                                                 const ShaderNodeSet &shared)
-{
-  if (shared.find(node) != shared.end()) {
-    generate_multi_closure(root_node, node, state);
-  }
-  else {
-    foreach (ShaderInput *in, node->inputs) {
-      if (in->type() == SocketType::CLOSURE && in->link)
-        generated_shared_closure_nodes(root_node, in->link->parent, state, shared);
-    }
-  }
-}
-
-void SVMCompiler::find_aov_nodes_and_dependencies(ShaderNodeSet &aov_nodes,
-                                                  ShaderGraph *graph,
-                                                  CompilerState *state)
-{
-  foreach (ShaderNode *node, graph->nodes) {
-    if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT_AOV) {
-      OutputAOVNode *aov_node = static_cast<OutputAOVNode *>(node);
-      if (aov_node->offset >= 0) {
-        aov_nodes.insert(aov_node);
-        foreach (ShaderInput *in, node->inputs) {
-          if (in->link != NULL) {
-            find_dependencies(aov_nodes, state->nodes_done, in);
-          }
-        }
-      }
-    }
-  }
-}
-
-void SVMCompiler::generate_multi_closure(ShaderNode *root_node,
-                                         ShaderNode *node,
-                                         CompilerState *state)
-{
-  /* only generate once */
-  if (state->closure_done.find(node) != state->closure_done.end())
-    return;
-
-  state->closure_done.insert(node);
-
-  if (node->special_type == SHADER_SPECIAL_TYPE_COMBINE_CLOSURE) {
-    /* weighting is already taken care of in ShaderGraph::transform_multi_closure */
-    ShaderInput *cl1in = node->input("Closure1");
-    ShaderInput *cl2in = node->input("Closure2");
-    ShaderInput *facin = node->input("Fac");
-
-    /* skip empty mix/add closure nodes */
-    if (!cl1in->link && !cl2in->link)
-      return;
-
-    if (facin && facin->link) {
-      /* mix closure: generate instructions to compute mix weight */
-      ShaderNodeSet dependencies;
-      find_dependencies(dependencies, state->nodes_done, facin);
-      generate_svm_nodes(dependencies, state);
-
-      /* execute shared dependencies. this is needed to allow skipping
-       * of zero weight closures and their dependencies later, so we
-       * ensure that they only skip dependencies that are unique to them */
-      ShaderNodeSet cl1deps, cl2deps, shareddeps;
-
-      find_dependencies(cl1deps, state->nodes_done, cl1in);
-      find_dependencies(cl2deps, state->nodes_done, cl2in);
-
-      ShaderNodeIDComparator node_id_comp;
-      set_intersection(cl1deps.begin(),
-                       cl1deps.end(),
-                       cl2deps.begin(),
-                       cl2deps.end(),
-                       std::inserter(shareddeps, shareddeps.begin()),
-                       node_id_comp);
-
-      /* it's possible some nodes are not shared between this mix node
-       * inputs, but still needed to be always executed, this mainly
-       * happens when a node of current subbranch is used by a parent
-       * node or so */
-      if (root_node != node) {
-        foreach (ShaderInput *in, root_node->inputs) {
-          ShaderNodeSet rootdeps;
-          find_dependencies(rootdeps, state->nodes_done, in, node);
-          set_intersection(rootdeps.begin(),
-                           rootdeps.end(),
-                           cl1deps.begin(),
-                           cl1deps.end(),
-                           std::inserter(shareddeps, shareddeps.begin()),
-                           node_id_comp);
-          set_intersection(rootdeps.begin(),
-                           rootdeps.end(),
-                           cl2deps.begin(),
-                           cl2deps.end(),
-                           std::inserter(shareddeps, shareddeps.begin()),
-                           node_id_comp);
-        }
-      }
-
-      /* For dependencies AOV nodes, prevent them from being categorized
-       * as exclusive deps of one or the other closure, since the need to
-       * execute them for AOV writing is not dependent on the closure
-       * weights. */
-      if (state->aov_nodes.size()) {
-        set_intersection(state->aov_nodes.begin(),
-                         state->aov_nodes.end(),
-                         cl1deps.begin(),
-                         cl1deps.end(),
-                         std::inserter(shareddeps, shareddeps.begin()),
-                         node_id_comp);
-        set_intersection(state->aov_nodes.begin(),
-                         state->aov_nodes.end(),
-                         cl2deps.begin(),
-                         cl2deps.end(),
-                         std::inserter(shareddeps, shareddeps.begin()),
-                         node_id_comp);
-      }
-
-      if (!shareddeps.empty()) {
-        if (cl1in->link) {
-          generated_shared_closure_nodes(root_node, cl1in->link->parent, state, shareddeps);
-        }
-        if (cl2in->link) {
-          generated_shared_closure_nodes(root_node, cl2in->link->parent, state, shareddeps);
-        }
-
-        generate_svm_nodes(shareddeps, state);
-      }
-
-      /* generate instructions for input closure 1 */
-      if (cl1in->link) {
-        /* Add instruction to skip closure and its dependencies if mix
-         * weight is zero.
-         */
-        current_svm_nodes.push_back_slow(make_int4(NODE_JUMP_IF_ONE, 0, stack_assign(facin), 0));
-        int node_jump_skip_index = current_svm_nodes.size() - 1;
-
-        generate_multi_closure(root_node, cl1in->link->parent, state);
-
-        /* Fill in jump instruction location to be after closure. */
-        current_svm_nodes[node_jump_skip_index].y = current_svm_nodes.size() -
-                                                    node_jump_skip_index - 1;
-      }
-
-      /* generate instructions for input closure 2 */
-      if (cl2in->link) {
-        /* Add instruction to skip closure and its dependencies if mix
-         * weight is zero.
-         */
-        current_svm_nodes.push_back_slow(make_int4(NODE_JUMP_IF_ZERO, 0, stack_assign(facin), 0));
-        int node_jump_skip_index = current_svm_nodes.size() - 1;
-
-        generate_multi_closure(root_node, cl2in->link->parent, state);
-
-        /* Fill in jump instruction location to be after closure. */
-        current_svm_nodes[node_jump_skip_index].y = current_svm_nodes.size() -
-                                                    node_jump_skip_index - 1;
-      }
-
-      /* unassign */
-      facin->stack_offset = SVM_STACK_INVALID;
-    }
-    else {
-      /* execute closures and their dependencies, no runtime checks
-       * to skip closures here because was already optimized due to
-       * fixed weight or add closure that always needs both */
-      if (cl1in->link)
-        generate_multi_closure(root_node, cl1in->link->parent, state);
-      if (cl2in->link)
-        generate_multi_closure(root_node, cl2in->link->parent, state);
-    }
-  }
-  else {
-    generate_closure_node(node, state);
-  }
-
-  state->nodes_done.insert(node);
-  state->nodes_done_flag[node->id] = true;
-}
-
-void SVMCompiler::compile_type(Shader *shader, ShaderGraph *graph, ShaderType type)
-{
-  /* Converting a shader graph into svm_nodes that can be executed
-   * sequentially on the virtual machine is fairly simple. We can keep
-   * looping over nodes and each time all the inputs of a node are
-   * ready, we add svm_nodes for it that read the inputs from the
-   * stack and write outputs back to the stack.
-   *
-   * With the SVM, we always sample only a single closure. We can think
-   * of all closures nodes as a binary tree with mix closures as inner
-   * nodes and other closures as leafs. The SVM will traverse that tree,
-   * each time deciding to go left or right depending on the mix weights,
-   * until a closure is found.
-   *
-   * We only execute nodes that are needed for the mix weights and chosen
-   * closure.
-   */
-
-  current_type = type;
-  current_graph = graph;
-
-  /* get input in output node */
-  ShaderNode *output = graph->output();
-  ShaderInput *clin = NULL;
-
-  switch (type) {
-    case SHADER_TYPE_SURFACE:
-      clin = output->input("Surface");
-      break;
-    case SHADER_TYPE_VOLUME:
-      clin = output->input("Volume");
-      break;
-    case SHADER_TYPE_DISPLACEMENT:
-      clin = output->input("Displacement");
-      break;
-    case SHADER_TYPE_BUMP:
-      clin = output->input("Normal");
-      break;
-    default:
-      assert(0);
-      break;
-  }
-
-  /* clear all compiler state */
-  memset((void *)&active_stack, 0, sizeof(active_stack));
-  current_svm_nodes.clear();
-
-  foreach (ShaderNode *node, graph->nodes) {
-    foreach (ShaderInput *input, node->inputs)
-      input->stack_offset = SVM_STACK_INVALID;
-    foreach (ShaderOutput *output, node->outputs)
-      output->stack_offset = SVM_STACK_INVALID;
-  }
-
-  /* for the bump shader we need add a node to store the shader state */
-  bool need_bump_state = (type == SHADER_TYPE_BUMP) &&
-                         (shader->get_displacement_method() == DISPLACE_BOTH);
-  int bump_state_offset = SVM_STACK_INVALID;
-  if (need_bump_state) {
-    bump_state_offset = stack_find_offset(SVM_BUMP_EVAL_STATE_SIZE);
-    add_node(NODE_ENTER_BUMP_EVAL, bump_state_offset);
-  }
-
-  if (shader->reference_count()) {
-    CompilerState state(graph);
-    if (clin->link) {
-      bool generate = false;
-
-      switch (type) {
-        case SHADER_TYPE_SURFACE: /* generate surface shader */
-          generate = true;
-          shader->has_surface = true;
-          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_SURFACE;
-          break;
-        case SHADER_TYPE_VOLUME: /* generate volume shader */
-          generate = true;
-          shader->has_volume = true;
-          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_VOLUME;
-          break;
-        case SHADER_TYPE_DISPLACEMENT: /* generate displacement shader */
-          generate = true;
-          shader->has_displacement = true;
-          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_DISPLACEMENT;
-          break;
-        case SHADER_TYPE_BUMP: /* generate bump shader */
-          generate = true;
-          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_BUMP;
-          break;
-        default:
-          break;
-      }
-
-      if (generate) {
-        if (type == SHADER_TYPE_SURFACE) {
-          find_aov_nodes_and_dependencies(state.aov_nodes, graph, &state);
-        }
-        generate_multi_closure(clin->link->parent, clin->link->parent, &state);
-      }
-    }
-
-    /* compile output node */
-    output->compile(*this);
-
-    if (!state.aov_nodes.empty()) {
-      /* AOV passes are only written if the object is directly visible, so
-       * there is no point in evaluating all the nodes generated only for the
-       * AOV outputs if that's not the case. Therefore, we insert
-       * NODE_AOV_START into the shader before the AOV-only nodes are
-       * generated which tells the kernel that it can stop evaluation
-       * early if AOVs will not be written. */
-      add_node(NODE_AOV_START, 0, 0, 0);
-      generate_svm_nodes(state.aov_nodes, &state);
-    }
-  }
-
-  /* add node to restore state after bump shader has finished */
-  if (need_bump_state) {
-    add_node(NODE_LEAVE_BUMP_EVAL, bump_state_offset);
-  }
-
-  /* if compile failed, generate empty shader */
-  if (compile_failed) {
-    current_svm_nodes.clear();
-    compile_failed = false;
-  }
-
-  /* for bump shaders we fall thru to the surface shader, but if this is any other kind of shader
-   * it ends here */
-  if (type != SHADER_TYPE_BUMP) {
-    add_node(NODE_END, 0, 0, 0);
-  }
-}
-
-void SVMCompiler::compile(Shader *shader, array<int4> &svm_nodes, int index, Summary *summary)
-{
-  /* copy graph for shader with bump mapping */
-  ShaderNode *output = shader->graph->output();
-  int start_num_svm_nodes = svm_nodes.size();
-
-  const double time_start = time_dt();
-
-  bool has_bump = (shader->get_displacement_method() != DISPLACE_TRUE) &&
-                  output->input("Surface")->link && output->input("Displacement")->link;
-
-  /* finalize */
-  {
-    scoped_timer timer((summary != NULL) ? &summary->time_finalize : NULL);
-    shader->graph->finalize(scene,
-                            has_bump,
-                            shader->has_integrator_dependency,
-                            shader->get_displacement_method() == DISPLACE_BOTH);
-  }
-
-  current_shader = shader;
-
-  shader->has_surface = false;
-  shader->has_surface_emission = false;
-  shader->has_surface_transparent = false;
-  shader->has_surface_raytrace = false;
-  shader->has_surface_bssrdf = false;
-  shader->has_bump = has_bump;
-  shader->has_bssrdf_bump = has_bump;
-  shader->has_volume = false;
-  shader->has_displacement = false;
-  shader->has_surface_spatial_varying = false;
-  shader->has_volume_spatial_varying = false;
-  shader->has_volume_attribute_dependency = false;
-  shader->has_integrator_dependency = false;
-
-  /* generate bump shader */
-  if (has_bump) {
-    scoped_timer timer((summary != NULL) ? &summary->time_generate_bump : NULL);
-    compile_type(shader, shader->graph, SHADER_TYPE_BUMP);
-    svm_nodes[index].y = svm_nodes.size();
-    svm_nodes.append(current_svm_nodes);
-  }
-
-  /* generate surface shader */
-  {
-    scoped_timer timer((summary != NULL) ? &summary->time_generate_surface : NULL);
-    compile_type(shader, shader->graph, SHADER_TYPE_SURFACE);
-    /* only set jump offset if there's no bump shader, as the bump shader will fall thru to this
-     * one if it exists */
-    if (!has_bump) {
-      svm_nodes[index].y = svm_nodes.size();
-    }
-    svm_nodes.append(current_svm_nodes);
-  }
-
-  /* generate volume shader */
-  {
-    scoped_timer timer((summary != NULL) ? &summary->time_generate_volume : NULL);
-    compile_type(shader, shader->graph, SHADER_TYPE_VOLUME);
-    svm_nodes[index].z = svm_nodes.size();
-    svm_nodes.append(current_svm_nodes);
-  }
-
-  /* generate displacement shader */
-  {
-    scoped_timer timer((summary != NULL) ? &summary->time_generate_displacement : NULL);
-    compile_type(shader, shader->graph, SHADER_TYPE_DISPLACEMENT);
-    svm_nodes[index].w = svm_nodes.size();
-    svm_nodes.append(current_svm_nodes);
-  }
-
-  /* Fill in summary information. */
-  if (summary != NULL) {
-    summary->time_total = time_dt() - time_start;
-    summary->peak_stack_usage = max_stack_use;
-    summary->num_svm_nodes = svm_nodes.size() - start_num_svm_nodes;
-  }
-}
-
-/* Compiler summary implementation. */
-
-SVMCompiler::Summary::Summary()
-    : num_svm_nodes(0),
-      peak_stack_usage(0),
-      time_finalize(0.0),
-      time_generate_surface(0.0),
-      time_generate_bump(0.0),
-      time_generate_volume(0.0),
-      time_generate_displacement(0.0),
-      time_total(0.0)
-{
-}
-
-string SVMCompiler::Summary::full_report() const
-{
-  string report = "";
-  report += string_printf("Number of SVM nodes: %d\n", num_svm_nodes);
-  report += string_printf("Peak stack usage:    %d\n", peak_stack_usage);
-
-  report += string_printf("Time (in seconds):\n");
-  report += string_printf("Finalize:            %f\n", time_finalize);
-  report += string_printf("  Surface:           %f\n", time_generate_surface);
-  report += string_printf("  Bump:              %f\n", time_generate_bump);
-  report += string_printf("  Volume:            %f\n", time_generate_volume);
-  report += string_printf("  Displacement:      %f\n", time_generate_displacement);
-  report += string_printf("Generate:            %f\n",
-                          time_generate_surface + time_generate_bump + time_generate_volume +
-                              time_generate_displacement);
-  report += string_printf("Total:               %f\n", time_total);
-
-  return report;
-}
-
-/* Global state of the compiler. */
-
-SVMCompiler::CompilerState::CompilerState(ShaderGraph *graph)
-{
-  int max_id = 0;
-  foreach (ShaderNode *node, graph->nodes) {
-    max_id = max(node->id, max_id);
-  }
-  nodes_done_flag.resize(max_id + 1, false);
-  node_feature_mask = 0;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/svm.h b/intern/cycles/render/svm.h
deleted file mode 100644
index 0353c393ae4..00000000000
--- a/intern/cycles/render/svm.h
+++ /dev/null
@@ -1,238 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __SVM_H__
-#define __SVM_H__
-
-#include "render/attribute.h"
-#include "render/graph.h"
-#include "render/shader.h"
-
-#include "util/util_array.h"
-#include "util/util_set.h"
-#include "util/util_string.h"
-#include "util/util_thread.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class ImageManager;
-class Scene;
-class ShaderGraph;
-class ShaderInput;
-class ShaderNode;
-class ShaderOutput;
-
-/* Shader Manager */
-
-class SVMShaderManager : public ShaderManager {
- public:
-  SVMShaderManager();
-  ~SVMShaderManager();
-
-  void reset(Scene *scene) override;
-
-  void device_update_specific(Device *device,
-                              DeviceScene *dscene,
-                              Scene *scene,
-                              Progress &progress) override;
-  void device_free(Device *device, DeviceScene *dscene, Scene *scene) override;
-
- protected:
-  void device_update_shader(Scene *scene,
-                            Shader *shader,
-                            Progress *progress,
-                            array<int4> *svm_nodes);
-};
-
-/* Graph Compiler */
-
-class SVMCompiler {
- public:
-  struct Summary {
-    Summary();
-
-    /* Number of SVM nodes shader was compiled into. */
-    int num_svm_nodes;
-
-    /* Peak stack usage during shader evaluation. */
-    int peak_stack_usage;
-
-    /* Time spent on surface graph finalization. */
-    double time_finalize;
-
-    /* Time spent on generating SVM nodes for surface shader. */
-    double time_generate_surface;
-
-    /* Time spent on generating SVM nodes for bump shader. */
-    double time_generate_bump;
-
-    /* Time spent on generating SVM nodes for volume shader. */
-    double time_generate_volume;
-
-    /* Time spent on generating SVM nodes for displacement shader. */
-    double time_generate_displacement;
-
-    /* Total time spent on all routines. */
-    double time_total;
-
-    /* A full multi-line description of the state of the compiler after compilation. */
-    string full_report() const;
-  };
-
-  SVMCompiler(Scene *scene);
-  void compile(Shader *shader, array<int4> &svm_nodes, int index, Summary *summary = NULL);
-
-  int stack_assign(ShaderOutput *output);
-  int stack_assign(ShaderInput *input);
-  int stack_assign_if_linked(ShaderInput *input);
-  int stack_assign_if_linked(ShaderOutput *output);
-  int stack_find_offset(int size);
-  int stack_find_offset(SocketType::Type type);
-  void stack_clear_offset(SocketType::Type type, int offset);
-  void stack_link(ShaderInput *input, ShaderOutput *output);
-
-  void add_node(ShaderNodeType type, int a = 0, int b = 0, int c = 0);
-  void add_node(int a = 0, int b = 0, int c = 0, int d = 0);
-  void add_node(ShaderNodeType type, const float3 &f);
-  void add_node(const float4 &f);
-  uint attribute(ustring name);
-  uint attribute(AttributeStandard std);
-  uint attribute_standard(ustring name);
-  uint encode_uchar4(uint x, uint y = 0, uint z = 0, uint w = 0);
-  uint closure_mix_weight_offset()
-  {
-    return mix_weight_offset;
-  }
-
-  ShaderType output_type()
-  {
-    return current_type;
-  }
-
-  Scene *scene;
-  ShaderGraph *current_graph;
-  bool background;
-
- protected:
-  /* stack */
-  struct Stack {
-    Stack()
-    {
-      memset(users, 0, sizeof(users));
-    }
-    Stack(const Stack &other)
-    {
-      memcpy(users, other.users, sizeof(users));
-    }
-    Stack &operator=(const Stack &other)
-    {
-      memcpy(users, other.users, sizeof(users));
-      return *this;
-    }
-
-    bool empty()
-    {
-      for (int i = 0; i < SVM_STACK_SIZE; i++)
-        if (users[i])
-          return false;
-
-      return true;
-    }
-
-    void print()
-    {
-      printf("stack <");
-
-      for (int i = 0; i < SVM_STACK_SIZE; i++)
-        printf((users[i]) ? "*" : " ");
-
-      printf(">\n");
-    }
-
-    int users[SVM_STACK_SIZE];
-  };
-
-  /* Global state of the compiler accessible from the compilation routines. */
-  struct CompilerState {
-    explicit CompilerState(ShaderGraph *graph);
-
-    /* ** Global state, used by various compilation steps. ** */
-
-    /* Set of nodes which were already compiled. */
-    ShaderNodeSet nodes_done;
-
-    /* Set of closures which were already compiled. */
-    ShaderNodeSet closure_done;
-
-    /* Set of nodes used for writing AOVs. */
-    ShaderNodeSet aov_nodes;
-
-    /* ** SVM nodes generation state ** */
-
-    /* Flag whether the node with corresponding ID was already compiled or
-     * not. Array element with index i corresponds to a node with such if.
-     *
-     * TODO(sergey): This is actually a copy of nodes_done just in another
-     * notation. We can de-duplicate this storage actually after switching
-     * all areas to use this flags array.
-     */
-    vector<bool> nodes_done_flag;
-
-    /* Node features that can be compiled. */
-    uint node_feature_mask;
-  };
-
-  void stack_clear_temporary(ShaderNode *node);
-  int stack_size(SocketType::Type type);
-  void stack_clear_users(ShaderNode *node, ShaderNodeSet &done);
-
-  /* single closure */
-  void find_dependencies(ShaderNodeSet &dependencies,
-                         const ShaderNodeSet &done,
-                         ShaderInput *input,
-                         ShaderNode *skip_node = NULL);
-  void find_aov_nodes_and_dependencies(ShaderNodeSet &aov_nodes,
-                                       ShaderGraph *graph,
-                                       CompilerState *state);
-  void generate_node(ShaderNode *node, ShaderNodeSet &done);
-  void generate_aov_node(ShaderNode *node, CompilerState *state);
-  void generate_closure_node(ShaderNode *node, CompilerState *state);
-  void generated_shared_closure_nodes(ShaderNode *root_node,
-                                      ShaderNode *node,
-                                      CompilerState *state,
-                                      const ShaderNodeSet &shared);
-  void generate_svm_nodes(const ShaderNodeSet &nodes, CompilerState *state);
-
-  /* multi closure */
-  void generate_multi_closure(ShaderNode *root_node, ShaderNode *node, CompilerState *state);
-
-  /* compile */
-  void compile_type(Shader *shader, ShaderGraph *graph, ShaderType type);
-
-  array<int4> current_svm_nodes;
-  ShaderType current_type;
-  Shader *current_shader;
-  Stack active_stack;
-  int max_stack_use;
-  uint mix_weight_offset;
-  bool compile_failed;
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __SVM_H__ */
diff --git a/intern/cycles/render/tables.cpp b/intern/cycles/render/tables.cpp
deleted file mode 100644
index a0813400b1c..00000000000
--- a/intern/cycles/render/tables.cpp
+++ /dev/null
@@ -1,130 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/tables.h"
-#include "device/device.h"
-#include "render/scene.h"
-#include "render/stats.h"
-
-#include "util/util_logging.h"
-#include "util/util_time.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* Lookup Tables */
-
-LookupTables::LookupTables()
-{
-  need_update_ = true;
-}
-
-LookupTables::~LookupTables()
-{
-  assert(lookup_tables.size() == 0);
-}
-
-void LookupTables::device_update(Device *, DeviceScene *dscene, Scene *scene)
-{
-  if (!need_update())
-    return;
-
-  scoped_callback_timer timer([scene](double time) {
-    if (scene->update_stats) {
-      scene->update_stats->tables.times.add_entry({"device_update", time});
-    }
-  });
-
-  VLOG(1) << "Total " << lookup_tables.size() << " lookup tables.";
-
-  if (lookup_tables.size() > 0)
-    dscene->lookup_table.copy_to_device();
-
-  need_update_ = false;
-}
-
-void LookupTables::device_free(Device *, DeviceScene *dscene)
-{
-  dscene->lookup_table.free();
-}
-
-bool LookupTables::need_update() const
-{
-  return need_update_;
-}
-
-static size_t round_up_to_multiple(size_t size, size_t chunk)
-{
-  return ((size + chunk - 1) / chunk) * chunk;
-}
-
-size_t LookupTables::add_table(DeviceScene *dscene, vector<float> &data)
-{
-  assert(data.size() > 0);
-
-  need_update_ = true;
-
-  Table new_table;
-  new_table.offset = 0;
-  new_table.size = round_up_to_multiple(data.size(), TABLE_CHUNK_SIZE);
-
-  /* find space to put lookup table */
-  list<Table>::iterator table;
-
-  for (table = lookup_tables.begin(); table != lookup_tables.end(); table++) {
-    if (new_table.offset + new_table.size <= table->offset) {
-      lookup_tables.insert(table, new_table);
-      break;
-    }
-    else
-      new_table.offset = table->offset + table->size;
-  }
-
-  if (table == lookup_tables.end()) {
-    /* add at the end */
-    lookup_tables.push_back(new_table);
-    dscene->lookup_table.resize(new_table.offset + new_table.size);
-  }
-
-  /* copy table data and return offset */
-  float *dtable = dscene->lookup_table.data();
-  memcpy(dtable + new_table.offset, &data[0], sizeof(float) * data.size());
-
-  return new_table.offset;
-}
-
-void LookupTables::remove_table(size_t *offset)
-{
-  if (*offset == TABLE_OFFSET_INVALID) {
-    /* The table isn't even allocated, so just return here. */
-    return;
-  }
-
-  need_update_ = true;
-
-  list<Table>::iterator table;
-
-  for (table = lookup_tables.begin(); table != lookup_tables.end(); table++) {
-    if (table->offset == *offset) {
-      lookup_tables.erase(table);
-      *offset = TABLE_OFFSET_INVALID;
-      return;
-    }
-  }
-
-  assert(table != lookup_tables.end());
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/tables.h b/intern/cycles/render/tables.h
deleted file mode 100644
index de538e2af78..00000000000
--- a/intern/cycles/render/tables.h
+++ /dev/null
@@ -1,57 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#ifndef __TABLES_H__
-#define __TABLES_H__
-
-#include "util/util_list.h"
-#include "util/util_vector.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Device;
-class DeviceScene;
-class Scene;
-
-enum { TABLE_CHUNK_SIZE = 256 };
-enum { TABLE_OFFSET_INVALID = -1 };
-
-class LookupTables {
-  bool need_update_;
-
- public:
-  struct Table {
-    size_t offset;
-    size_t size;
-  };
-
-  list<Table> lookup_tables;
-
-  LookupTables();
-  ~LookupTables();
-
-  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
-  void device_free(Device *device, DeviceScene *dscene);
-
-  bool need_update() const;
-
-  size_t add_table(DeviceScene *dscene, vector<float> &data);
-  void remove_table(size_t *offset);
-};
-
-CCL_NAMESPACE_END
-
-#endif /* __TABLES_H__ */
diff --git a/intern/cycles/render/tile.cpp b/intern/cycles/render/tile.cpp
deleted file mode 100644
index 3070e93eff3..00000000000
--- a/intern/cycles/render/tile.cpp
+++ /dev/null
@@ -1,629 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/tile.h"
-
-#include <atomic>
-
-#include "graph/node.h"
-#include "render/background.h"
-#include "render/film.h"
-#include "render/integrator.h"
-#include "render/scene.h"
-#include "util/util_algorithm.h"
-#include "util/util_foreach.h"
-#include "util/util_logging.h"
-#include "util/util_path.h"
-#include "util/util_string.h"
-#include "util/util_system.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-/* --------------------------------------------------------------------
- * Internal functions.
- */
-
-static const char *ATTR_PASSES_COUNT = "cycles.passes.count";
-static const char *ATTR_PASS_SOCKET_PREFIX_FORMAT = "cycles.passes.%d.";
-static const char *ATTR_BUFFER_SOCKET_PREFIX = "cycles.buffer.";
-static const char *ATTR_DENOISE_SOCKET_PREFIX = "cycles.denoise.";
-
-/* Global counter of ToleManager object instances. */
-static std::atomic<uint64_t> g_instance_index = 0;
-
-/* Construct names of EXR channels which will ensure order of all channels to match exact offsets
- * in render buffers corresponding to the given passes.
- *
- * Returns `std` datatypes so that it can be assigned directly to the OIIO's `ImageSpec`. */
-static std::vector<std::string> exr_channel_names_for_passes(const BufferParams &buffer_params)
-{
-  static const char *component_suffixes[] = {"R", "G", "B", "A"};
-
-  int pass_index = 0;
-  int num_channels = 0;
-  std::vector<std::string> channel_names;
-  for (const BufferPass &pass : buffer_params.passes) {
-    if (pass.offset == PASS_UNUSED) {
-      continue;
-    }
-
-    const PassInfo pass_info = pass.get_info();
-    num_channels += pass_info.num_components;
-
-    /* EXR canonically expects first part of channel names to be sorted alphabetically, which is
-     * not guaranteed to be the case with passes names. Assign a prefix based on the pass index
-     * with a fixed width to ensure ordering. This makes it possible to dump existing render
-     * buffers memory to disk and read it back without doing extra mapping. */
-    const string prefix = string_printf("%08d", pass_index);
-
-    const string channel_name_prefix = prefix + string(pass.name) + ".";
-
-    for (int i = 0; i < pass_info.num_components; ++i) {
-      channel_names.push_back(channel_name_prefix + component_suffixes[i]);
-    }
-
-    ++pass_index;
-  }
-
-  return channel_names;
-}
-
-inline string node_socket_attribute_name(const SocketType &socket, const string &attr_name_prefix)
-{
-  return attr_name_prefix + string(socket.name);
-}
-
-template<typename ValidateValueFunc, typename GetValueFunc>
-static bool node_socket_generic_to_image_spec_atttributes(
-    ImageSpec *image_spec,
-    const Node *node,
-    const SocketType &socket,
-    const string &attr_name_prefix,
-    const ValidateValueFunc &validate_value_func,
-    const GetValueFunc &get_value_func)
-{
-  if (!validate_value_func(node, socket)) {
-    return false;
-  }
-
-  image_spec->attribute(node_socket_attribute_name(socket, attr_name_prefix),
-                        get_value_func(node, socket));
-
-  return true;
-}
-
-static bool node_socket_to_image_spec_atttributes(ImageSpec *image_spec,
-                                                  const Node *node,
-                                                  const SocketType &socket,
-                                                  const string &attr_name_prefix)
-{
-  const string attr_name = node_socket_attribute_name(socket, attr_name_prefix);
-
-  switch (socket.type) {
-    case SocketType::ENUM: {
-      const ustring value = node->get_string(socket);
-
-      /* Validate that the node is consistent with the node type definition. */
-      const NodeEnum &enum_values = *socket.enum_values;
-      if (!enum_values.exists(value)) {
-        LOG(DFATAL) << "Node enum contains invalid value " << value;
-        return false;
-      }
-
-      image_spec->attribute(attr_name, value);
-
-      return true;
-    }
-
-    case SocketType::STRING:
-      image_spec->attribute(attr_name, node->get_string(socket));
-      return true;
-
-    case SocketType::INT:
-      image_spec->attribute(attr_name, node->get_int(socket));
-      return true;
-
-    case SocketType::FLOAT:
-      image_spec->attribute(attr_name, node->get_float(socket));
-      return true;
-
-    case SocketType::BOOLEAN:
-      image_spec->attribute(attr_name, node->get_bool(socket));
-      return true;
-
-    default:
-      LOG(DFATAL) << "Unhandled socket type " << socket.type << ", should never happen.";
-      return false;
-  }
-}
-
-static bool node_socket_from_image_spec_atttributes(Node *node,
-                                                    const SocketType &socket,
-                                                    const ImageSpec &image_spec,
-                                                    const string &attr_name_prefix)
-{
-  const string attr_name = node_socket_attribute_name(socket, attr_name_prefix);
-
-  switch (socket.type) {
-    case SocketType::ENUM: {
-      /* TODO(sergey): Avoid construction of `ustring` by using `string_view` in the Node API. */
-      const ustring value(image_spec.get_string_attribute(attr_name, ""));
-
-      /* Validate that the node is consistent with the node type definition. */
-      const NodeEnum &enum_values = *socket.enum_values;
-      if (!enum_values.exists(value)) {
-        LOG(ERROR) << "Invalid enumerator value " << value;
-        return false;
-      }
-
-      node->set(socket, enum_values[value]);
-
-      return true;
-    }
-
-    case SocketType::STRING:
-      /* TODO(sergey): Avoid construction of `ustring` by using `string_view` in the Node API. */
-      node->set(socket, ustring(image_spec.get_string_attribute(attr_name, "")));
-      return true;
-
-    case SocketType::INT:
-      node->set(socket, image_spec.get_int_attribute(attr_name, 0));
-      return true;
-
-    case SocketType::FLOAT:
-      node->set(socket, image_spec.get_float_attribute(attr_name, 0));
-      return true;
-
-    case SocketType::BOOLEAN:
-      node->set(socket, static_cast<bool>(image_spec.get_int_attribute(attr_name, 0)));
-      return true;
-
-    default:
-      LOG(DFATAL) << "Unhandled socket type " << socket.type << ", should never happen.";
-      return false;
-  }
-}
-
-static bool node_to_image_spec_atttributes(ImageSpec *image_spec,
-                                           const Node *node,
-                                           const string &attr_name_prefix)
-{
-  for (const SocketType &socket : node->type->inputs) {
-    if (!node_socket_to_image_spec_atttributes(image_spec, node, socket, attr_name_prefix)) {
-      return false;
-    }
-  }
-
-  return true;
-}
-
-static bool node_from_image_spec_atttributes(Node *node,
-                                             const ImageSpec &image_spec,
-                                             const string &attr_name_prefix)
-{
-  for (const SocketType &socket : node->type->inputs) {
-    if (!node_socket_from_image_spec_atttributes(node, socket, image_spec, attr_name_prefix)) {
-      return false;
-    }
-  }
-
-  return true;
-}
-
-static bool buffer_params_to_image_spec_atttributes(ImageSpec *image_spec,
-                                                    const BufferParams &buffer_params)
-{
-  if (!node_to_image_spec_atttributes(image_spec, &buffer_params, ATTR_BUFFER_SOCKET_PREFIX)) {
-    return false;
-  }
-
-  /* Passes storage is not covered by the node socket. so "expand" the loop manually. */
-
-  const int num_passes = buffer_params.passes.size();
-  image_spec->attribute(ATTR_PASSES_COUNT, num_passes);
-
-  for (int pass_index = 0; pass_index < num_passes; ++pass_index) {
-    const string attr_name_prefix = string_printf(ATTR_PASS_SOCKET_PREFIX_FORMAT, pass_index);
-
-    const BufferPass *pass = &buffer_params.passes[pass_index];
-    if (!node_to_image_spec_atttributes(image_spec, pass, attr_name_prefix)) {
-      return false;
-    }
-  }
-
-  return true;
-}
-
-static bool buffer_params_from_image_spec_atttributes(BufferParams *buffer_params,
-                                                      const ImageSpec &image_spec)
-{
-  if (!node_from_image_spec_atttributes(buffer_params, image_spec, ATTR_BUFFER_SOCKET_PREFIX)) {
-    return false;
-  }
-
-  /* Passes storage is not covered by the node socket. so "expand" the loop manually. */
-
-  const int num_passes = image_spec.get_int_attribute(ATTR_PASSES_COUNT, 0);
-  if (num_passes == 0) {
-    LOG(ERROR) << "Missing passes count attribute.";
-    return false;
-  }
-
-  for (int pass_index = 0; pass_index < num_passes; ++pass_index) {
-    const string attr_name_prefix = string_printf(ATTR_PASS_SOCKET_PREFIX_FORMAT, pass_index);
-
-    BufferPass pass;
-
-    if (!node_from_image_spec_atttributes(&pass, image_spec, attr_name_prefix)) {
-      return false;
-    }
-
-    buffer_params->passes.emplace_back(std::move(pass));
-  }
-
-  buffer_params->update_passes();
-
-  return true;
-}
-
-/* Configure image specification for the given buffer parameters and passes.
- *
- * Image channels will be strictly ordered to match content of corresponding buffer, and the
- * metadata will be set so that the render buffers and passes can be reconstructed from it.
- *
- * If the tile size different from (0, 0) the image specification will be configured to use the
- * given tile size for tiled IO. */
-static bool configure_image_spec_from_buffer(ImageSpec *image_spec,
-                                             const BufferParams &buffer_params,
-                                             const int2 tile_size = make_int2(0, 0))
-{
-  const std::vector<std::string> channel_names = exr_channel_names_for_passes(buffer_params);
-  const int num_channels = channel_names.size();
-
-  *image_spec = ImageSpec(
-      buffer_params.width, buffer_params.height, num_channels, TypeDesc::FLOAT);
-
-  image_spec->channelnames = move(channel_names);
-
-  if (!buffer_params_to_image_spec_atttributes(image_spec, buffer_params)) {
-    return false;
-  }
-
-  if (tile_size.x != 0 || tile_size.y != 0) {
-    DCHECK_GT(tile_size.x, 0);
-    DCHECK_GT(tile_size.y, 0);
-
-    image_spec->tile_width = min(TileManager::IMAGE_TILE_SIZE, tile_size.x);
-    image_spec->tile_height = min(TileManager::IMAGE_TILE_SIZE, tile_size.y);
-  }
-
-  return true;
-}
-
-/* --------------------------------------------------------------------
- * Tile Manager.
- */
-
-TileManager::TileManager()
-{
-  /* Use process ID to separate different processes.
-   * To ensure uniqueness from within a process use combination of object address and instance
-   * index. This solves problem of possible object re-allocation at the same time, and solves
-   * possible conflict when the counter overflows while there are still active instances of the
-   * class. */
-  const int tile_manager_id = g_instance_index.fetch_add(1, std::memory_order_relaxed);
-  tile_file_unique_part_ = to_string(system_self_process_id()) + "-" +
-                           to_string(reinterpret_cast<uintptr_t>(this)) + "-" +
-                           to_string(tile_manager_id);
-}
-
-TileManager::~TileManager()
-{
-}
-
-int TileManager::compute_render_tile_size(const int suggested_tile_size) const
-{
-  /* Must be a multiple of IMAGE_TILE_SIZE so that we can write render tiles into the image file
-   * aligned on image tile boundaries. We can't set IMAGE_TILE_SIZE equal to the render tile size
-   * because too big tile size leads to integer overflow inside OpenEXR. */
-  return (suggested_tile_size <= IMAGE_TILE_SIZE) ? suggested_tile_size :
-                                                    align_up(suggested_tile_size, IMAGE_TILE_SIZE);
-}
-
-void TileManager::reset_scheduling(const BufferParams &params, int2 tile_size)
-{
-  VLOG(3) << "Using tile size of " << tile_size;
-
-  close_tile_output();
-
-  tile_size_ = tile_size;
-
-  tile_state_.num_tiles_x = divide_up(params.width, tile_size_.x);
-  tile_state_.num_tiles_y = divide_up(params.height, tile_size_.y);
-  tile_state_.num_tiles = tile_state_.num_tiles_x * tile_state_.num_tiles_y;
-
-  tile_state_.next_tile_index = 0;
-
-  tile_state_.current_tile = Tile();
-}
-
-void TileManager::update(const BufferParams &params, const Scene *scene)
-{
-  DCHECK_NE(params.pass_stride, -1);
-
-  buffer_params_ = params;
-
-  /* TODO(sergey): Proper Error handling, so that if configuration has failed we don't attempt to
-   * write to a partially configured file. */
-  configure_image_spec_from_buffer(&write_state_.image_spec, buffer_params_, tile_size_);
-
-  const DenoiseParams denoise_params = scene->integrator->get_denoise_params();
-  const AdaptiveSampling adaptive_sampling = scene->integrator->get_adaptive_sampling();
-
-  node_to_image_spec_atttributes(
-      &write_state_.image_spec, &denoise_params, ATTR_DENOISE_SOCKET_PREFIX);
-
-  if (adaptive_sampling.use) {
-    overscan_ = 4;
-  }
-  else {
-    overscan_ = 0;
-  }
-}
-
-bool TileManager::done()
-{
-  return tile_state_.next_tile_index == tile_state_.num_tiles;
-}
-
-bool TileManager::next()
-{
-  if (done()) {
-    return false;
-  }
-
-  tile_state_.current_tile = get_tile_for_index(tile_state_.next_tile_index);
-
-  ++tile_state_.next_tile_index;
-
-  return true;
-}
-
-Tile TileManager::get_tile_for_index(int index) const
-{
-  /* TODO(sergey): Consider using hilbert spiral, or. maybe, even configurable. Not sure this
-   * brings a lot of value since this is only applicable to BIG tiles. */
-
-  const int tile_index_y = index / tile_state_.num_tiles_x;
-  const int tile_index_x = index - tile_index_y * tile_state_.num_tiles_x;
-
-  const int tile_window_x = tile_index_x * tile_size_.x;
-  const int tile_window_y = tile_index_y * tile_size_.y;
-
-  Tile tile;
-
-  tile.x = max(0, tile_window_x - overscan_);
-  tile.y = max(0, tile_window_y - overscan_);
-
-  tile.window_x = tile_window_x - tile.x;
-  tile.window_y = tile_window_y - tile.y;
-  tile.window_width = min(tile_size_.x, buffer_params_.width - tile_window_x);
-  tile.window_height = min(tile_size_.y, buffer_params_.height - tile_window_y);
-
-  tile.width = min(buffer_params_.width - tile.x, tile.window_x + tile.window_width + overscan_);
-  tile.height = min(buffer_params_.height - tile.y,
-                    tile.window_y + tile.window_height + overscan_);
-
-  return tile;
-}
-
-const Tile &TileManager::get_current_tile() const
-{
-  return tile_state_.current_tile;
-}
-
-const int2 TileManager::get_size() const
-{
-  return make_int2(buffer_params_.width, buffer_params_.height);
-}
-
-bool TileManager::open_tile_output()
-{
-  write_state_.filename = path_temp_get("cycles-tile-buffer-" + tile_file_unique_part_ + "-" +
-                                        to_string(write_state_.tile_file_index) + ".exr");
-
-  write_state_.tile_out = ImageOutput::create(write_state_.filename);
-  if (!write_state_.tile_out) {
-    LOG(ERROR) << "Error creating image output for " << write_state_.filename;
-    return false;
-  }
-
-  if (!write_state_.tile_out->supports("tiles")) {
-    LOG(ERROR) << "Progress tile file format does not support tiling.";
-    return false;
-  }
-
-  if (!write_state_.tile_out->open(write_state_.filename, write_state_.image_spec)) {
-    LOG(ERROR) << "Error opening tile file: " << write_state_.tile_out->geterror();
-    write_state_.tile_out = nullptr;
-    return false;
-  }
-
-  write_state_.num_tiles_written = 0;
-
-  VLOG(3) << "Opened tile file " << write_state_.filename;
-
-  return true;
-}
-
-bool TileManager::close_tile_output()
-{
-  if (!write_state_.tile_out) {
-    return true;
-  }
-
-  const bool success = write_state_.tile_out->close();
-  write_state_.tile_out = nullptr;
-
-  if (!success) {
-    LOG(ERROR) << "Error closing tile file.";
-    return false;
-  }
-
-  VLOG(3) << "Tile output is closed.";
-
-  return true;
-}
-
-bool TileManager::write_tile(const RenderBuffers &tile_buffers)
-{
-  if (!write_state_.tile_out) {
-    if (!open_tile_output()) {
-      return false;
-    }
-  }
-
-  DCHECK_EQ(tile_buffers.params.pass_stride, buffer_params_.pass_stride);
-
-  vector<float> pixel_storage;
-
-  const BufferParams &tile_params = tile_buffers.params;
-
-  const int tile_x = tile_params.full_x - buffer_params_.full_x + tile_params.window_x;
-  const int tile_y = tile_params.full_y - buffer_params_.full_y + tile_params.window_y;
-
-  const int64_t pass_stride = tile_params.pass_stride;
-  const int64_t tile_row_stride = tile_params.width * pass_stride;
-
-  const int64_t xstride = pass_stride * sizeof(float);
-  const int64_t ystride = xstride * tile_params.width;
-  const int64_t zstride = ystride * tile_params.height;
-
-  const float *pixels = tile_buffers.buffer.data() + tile_params.window_x * pass_stride +
-                        tile_params.window_y * tile_row_stride;
-
-  VLOG(3) << "Write tile at " << tile_x << ", " << tile_y;
-
-  /* The image tile sizes in the OpenEXR file are different from the size of our big tiles. The
-   * write_tiles() method expects a contiguous image region that will be split into tiles
-   * internally. OpenEXR expects the size of this region to be a multiple of the tile size,
-   * however OpenImageIO automatically adds the required padding.
-   *
-   * The only thing we have to ensure is that the tile_x and tile_y are a multiple of the
-   * image tile size, which happens in compute_render_tile_size. */
-  if (!write_state_.tile_out->write_tiles(tile_x,
-                                          tile_x + tile_params.window_width,
-                                          tile_y,
-                                          tile_y + tile_params.window_height,
-                                          0,
-                                          1,
-                                          TypeDesc::FLOAT,
-                                          pixels,
-                                          xstride,
-                                          ystride,
-                                          zstride)) {
-    LOG(ERROR) << "Error writing tile " << write_state_.tile_out->geterror();
-    return false;
-  }
-
-  ++write_state_.num_tiles_written;
-
-  return true;
-}
-
-void TileManager::finish_write_tiles()
-{
-  if (!write_state_.tile_out) {
-    /* None of the tiles were written hence the file was not created.
-     * Avoid creation of fully empty file since it is redundant. */
-    return;
-  }
-
-  /* EXR expects all tiles to present in file. So explicitly write missing tiles as all-zero. */
-  if (write_state_.num_tiles_written < tile_state_.num_tiles) {
-    vector<float> pixel_storage(tile_size_.x * tile_size_.y * buffer_params_.pass_stride);
-
-    for (int tile_index = write_state_.num_tiles_written; tile_index < tile_state_.num_tiles;
-         ++tile_index) {
-      const Tile tile = get_tile_for_index(tile_index);
-
-      const int tile_x = tile.x + tile.window_x;
-      const int tile_y = tile.y + tile.window_y;
-
-      VLOG(3) << "Write dummy tile at " << tile_x << ", " << tile_y;
-
-      write_state_.tile_out->write_tiles(tile_x,
-                                         tile_x + tile.window_width,
-                                         tile_y,
-                                         tile_y + tile.window_height,
-                                         0,
-                                         1,
-                                         TypeDesc::FLOAT,
-                                         pixel_storage.data());
-    }
-  }
-
-  close_tile_output();
-
-  if (full_buffer_written_cb) {
-    full_buffer_written_cb(write_state_.filename);
-  }
-
-  /* Advance the counter upon explicit finish of the file.
-   * Makes it possible to re-use tile manager for another scene, and avoids unnecessary increments
-   * of the tile-file-within-session index. */
-  ++write_state_.tile_file_index;
-
-  write_state_.filename = "";
-}
-
-bool TileManager::read_full_buffer_from_disk(const string_view filename,
-                                             RenderBuffers *buffers,
-                                             DenoiseParams *denoise_params)
-{
-  unique_ptr<ImageInput> in(ImageInput::open(filename));
-  if (!in) {
-    LOG(ERROR) << "Error opening tile file " << filename;
-    return false;
-  }
-
-  const ImageSpec &image_spec = in->spec();
-
-  BufferParams buffer_params;
-  if (!buffer_params_from_image_spec_atttributes(&buffer_params, image_spec)) {
-    return false;
-  }
-  buffers->reset(buffer_params);
-
-  if (!node_from_image_spec_atttributes(denoise_params, image_spec, ATTR_DENOISE_SOCKET_PREFIX)) {
-    return false;
-  }
-
-  if (!in->read_image(TypeDesc::FLOAT, buffers->buffer.data())) {
-    LOG(ERROR) << "Error reading pixels from the tile file " << in->geterror();
-    return false;
-  }
-
-  if (!in->close()) {
-    LOG(ERROR) << "Error closing tile file " << in->geterror();
-    return false;
-  }
-
-  return true;
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/tile.h b/intern/cycles/render/tile.h
deleted file mode 100644
index 5872a9a8609..00000000000
--- a/intern/cycles/render/tile.h
+++ /dev/null
@@ -1,182 +0,0 @@
-/*
- * Copyright 2011-2013 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "render/buffers.h"
-#include "util/util_image.h"
-#include "util/util_string.h"
-#include "util/util_unique_ptr.h"
-
-CCL_NAMESPACE_BEGIN
-
-class DenoiseParams;
-class Scene;
-
-/* --------------------------------------------------------------------
- * Tile.
- */
-
-class Tile {
- public:
-  int x = 0, y = 0;
-  int width = 0, height = 0;
-
-  int window_x = 0, window_y = 0;
-  int window_width = 0, window_height = 0;
-
-  Tile()
-  {
-  }
-};
-
-/* --------------------------------------------------------------------
- * Tile Manager.
- */
-
-class TileManager {
- public:
-  /* This callback is invoked by whenever on-dist tiles storage file is closed after writing. */
-  function<void(string_view)> full_buffer_written_cb;
-
-  TileManager();
-  ~TileManager();
-
-  TileManager(const TileManager &other) = delete;
-  TileManager(TileManager &&other) noexcept = delete;
-  TileManager &operator=(const TileManager &other) = delete;
-  TileManager &operator=(TileManager &&other) = delete;
-
-  /* Reset current progress and start new rendering of the full-frame parameters in tiles of the
-   * given size.
-   * Only touches scheduling-related state of the tile manager. */
-  /* TODO(sergey): Consider using tile area instead of exact size to help dealing with extreme
-   * cases of stretched renders. */
-  void reset_scheduling(const BufferParams &params, int2 tile_size);
-
-  /* Update for the known buffer passes and scene parameters.
-   * Will store all parameters needed for buffers access outside of the scene graph. */
-  void update(const BufferParams &params, const Scene *scene);
-
-  inline int get_num_tiles() const
-  {
-    return tile_state_.num_tiles;
-  }
-
-  inline bool has_multiple_tiles() const
-  {
-    return tile_state_.num_tiles > 1;
-  }
-
-  inline int get_tile_overscan() const
-  {
-    return overscan_;
-  }
-
-  bool next();
-  bool done();
-
-  const Tile &get_current_tile() const;
-  const int2 get_size() const;
-
-  /* Write render buffer of a tile to a file on disk.
-   *
-   * Opens file for write when first tile is written.
-   *
-   * Returns true on success. */
-  bool write_tile(const RenderBuffers &tile_buffers);
-
-  /* Inform the tile manager that no more tiles will be written to disk.
-   * The file will be considered final, all handles to it will be closed. */
-  void finish_write_tiles();
-
-  /* Check whether any tile has been written to disk. */
-  inline bool has_written_tiles() const
-  {
-    return write_state_.num_tiles_written != 0;
-  }
-
-  /* Read full frame render buffer from tiles file on disk.
-   *
-   * Returns true on success. */
-  bool read_full_buffer_from_disk(string_view filename,
-                                  RenderBuffers *buffers,
-                                  DenoiseParams *denoise_params);
-
-  /* Compute valid tile size compatible with image saving. */
-  int compute_render_tile_size(const int suggested_tile_size) const;
-
-  /* Tile size in the image file. */
-  static const int IMAGE_TILE_SIZE = 128;
-
- protected:
-  /* Get tile configuration for its index.
-   * The tile index must be within [0, state_.tile_state_). */
-  Tile get_tile_for_index(int index) const;
-
-  bool open_tile_output();
-  bool close_tile_output();
-
-  /* Part of an on-disk tile file name which avoids conflicts between several Cycles instances or
-   * several sessions. */
-  string tile_file_unique_part_;
-
-  int2 tile_size_ = make_int2(0, 0);
-
-  /* Number of extra pixels around the actual tile to render. */
-  int overscan_ = 0;
-
-  BufferParams buffer_params_;
-
-  /* Tile scheduling state. */
-  struct {
-    int num_tiles_x = 0;
-    int num_tiles_y = 0;
-    int num_tiles = 0;
-
-    int next_tile_index;
-
-    Tile current_tile;
-  } tile_state_;
-
-  /* State of tiles writing to a file on disk. */
-  struct {
-    /* Index of a tile file used during the current session.
-     * This number is used for the file name construction, making it possible to render several
-     * scenes throughout duration of the session and keep all results available for later read
-     * access. */
-    int tile_file_index = 0;
-
-    string filename;
-
-    /* Specification of the tile image which corresponds to the buffer parameters.
-     * Contains channels configured according to the passes configuration in the path traces.
-     *
-     * Output images are saved using this specification, input images are expected to have matched
-     * specification. */
-    ImageSpec image_spec;
-
-    /* Output handle for the tile file.
-     *
-     * This file can not be closed until all tiles has been provided, so the handle is stored in
-     * the state and is created whenever writing is requested. */
-    unique_ptr<ImageOutput> tile_out;
-
-    int num_tiles_written = 0;
-  } write_state_;
-};
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/volume.cpp b/intern/cycles/render/volume.cpp
deleted file mode 100644
index 358ef71d501..00000000000
--- a/intern/cycles/render/volume.cpp
+++ /dev/null
@@ -1,635 +0,0 @@
-/*
- * Copyright 2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "render/volume.h"
-#include "render/attribute.h"
-#include "render/image_vdb.h"
-#include "render/scene.h"
-
-#ifdef WITH_OPENVDB
-#  include <openvdb/tools/Dense.h>
-#  include <openvdb/tools/GridTransformer.h>
-#  include <openvdb/tools/Morphology.h>
-#endif
-
-#include "util/util_foreach.h"
-#include "util/util_hash.h"
-#include "util/util_logging.h"
-#include "util/util_openvdb.h"
-#include "util/util_progress.h"
-#include "util/util_types.h"
-
-CCL_NAMESPACE_BEGIN
-
-NODE_DEFINE(Volume)
-{
-  NodeType *type = NodeType::add("volume", create, NodeType::NONE, Mesh::get_node_type());
-
-  SOCKET_FLOAT(clipping, "Clipping", 0.001f);
-  SOCKET_FLOAT(step_size, "Step Size", 0.0f);
-  SOCKET_BOOLEAN(object_space, "Object Space", false);
-
-  return type;
-}
-
-Volume::Volume() : Mesh(get_node_type(), Geometry::VOLUME)
-{
-  clipping = 0.001f;
-  step_size = 0.0f;
-  object_space = false;
-}
-
-void Volume::clear(bool preserve_shaders)
-{
-  Mesh::clear(preserve_shaders, true);
-}
-
-struct QuadData {
-  int v0, v1, v2, v3;
-
-  float3 normal;
-};
-
-enum {
-  QUAD_X_MIN = 0,
-  QUAD_X_MAX = 1,
-  QUAD_Y_MIN = 2,
-  QUAD_Y_MAX = 3,
-  QUAD_Z_MIN = 4,
-  QUAD_Z_MAX = 5,
-};
-
-#ifdef WITH_OPENVDB
-const int quads_indices[6][4] = {
-    /* QUAD_X_MIN */
-    {4, 0, 3, 7},
-    /* QUAD_X_MAX */
-    {1, 5, 6, 2},
-    /* QUAD_Y_MIN */
-    {4, 5, 1, 0},
-    /* QUAD_Y_MAX */
-    {3, 2, 6, 7},
-    /* QUAD_Z_MIN */
-    {0, 1, 2, 3},
-    /* QUAD_Z_MAX */
-    {5, 4, 7, 6},
-};
-
-const float3 quads_normals[6] = {
-    /* QUAD_X_MIN */
-    make_float3(-1.0f, 0.0f, 0.0f),
-    /* QUAD_X_MAX */
-    make_float3(1.0f, 0.0f, 0.0f),
-    /* QUAD_Y_MIN */
-    make_float3(0.0f, -1.0f, 0.0f),
-    /* QUAD_Y_MAX */
-    make_float3(0.0f, 1.0f, 0.0f),
-    /* QUAD_Z_MIN */
-    make_float3(0.0f, 0.0f, -1.0f),
-    /* QUAD_Z_MAX */
-    make_float3(0.0f, 0.0f, 1.0f),
-};
-
-static int add_vertex(int3 v,
-                      vector<int3> &vertices,
-                      int3 res,
-                      unordered_map<size_t, int> &used_verts)
-{
-  size_t vert_key = v.x + v.y * (res.x + 1) + v.z * (res.x + 1) * (res.y + 1);
-  unordered_map<size_t, int>::iterator it = used_verts.find(vert_key);
-
-  if (it != used_verts.end()) {
-    return it->second;
-  }
-
-  int vertex_offset = vertices.size();
-  used_verts[vert_key] = vertex_offset;
-  vertices.push_back(v);
-  return vertex_offset;
-}
-
-static void create_quad(int3 corners[8],
-                        vector<int3> &vertices,
-                        vector<QuadData> &quads,
-                        int3 res,
-                        unordered_map<size_t, int> &used_verts,
-                        int face_index)
-{
-  QuadData quad;
-  quad.v0 = add_vertex(corners[quads_indices[face_index][0]], vertices, res, used_verts);
-  quad.v1 = add_vertex(corners[quads_indices[face_index][1]], vertices, res, used_verts);
-  quad.v2 = add_vertex(corners[quads_indices[face_index][2]], vertices, res, used_verts);
-  quad.v3 = add_vertex(corners[quads_indices[face_index][3]], vertices, res, used_verts);
-  quad.normal = quads_normals[face_index];
-
-  quads.push_back(quad);
-}
-#endif
-
-/* Create a mesh from a volume.
- *
- * The way the algorithm works is as follows:
- *
- * - The topologies of input OpenVDB grids are merged into a temporary grid.
- * - Voxels of the temporary grid are dilated to account for the padding necessary for volume
- * sampling.
- * - Quads are created on the boundary between active and inactive leaf nodes of the temporary
- * grid.
- */
-class VolumeMeshBuilder {
- public:
-#ifdef WITH_OPENVDB
-  /* use a MaskGrid to store the topology to save memory */
-  openvdb::MaskGrid::Ptr topology_grid;
-  openvdb::CoordBBox bbox;
-#endif
-  bool first_grid;
-
-  VolumeMeshBuilder();
-
-#ifdef WITH_OPENVDB
-  void add_grid(openvdb::GridBase::ConstPtr grid, bool do_clipping, float volume_clipping);
-#endif
-
-  void add_padding(int pad_size);
-
-  void create_mesh(vector<float3> &vertices,
-                   vector<int> &indices,
-                   vector<float3> &face_normals,
-                   const float face_overlap_avoidance);
-
-  void generate_vertices_and_quads(vector<int3> &vertices_is, vector<QuadData> &quads);
-
-  void convert_object_space(const vector<int3> &vertices,
-                            vector<float3> &out_vertices,
-                            const float face_overlap_avoidance);
-
-  void convert_quads_to_tris(const vector<QuadData> &quads,
-                             vector<int> &tris,
-                             vector<float3> &face_normals);
-
-  bool empty_grid() const;
-
-#ifdef WITH_OPENVDB
-  template<typename GridType>
-  void merge_grid(openvdb::GridBase::ConstPtr grid, bool do_clipping, float volume_clipping)
-  {
-    typename GridType::ConstPtr typed_grid = openvdb::gridConstPtrCast<GridType>(grid);
-
-    if (do_clipping) {
-      using ValueType = typename GridType::ValueType;
-      typename GridType::Ptr copy = typed_grid->deepCopy();
-      typename GridType::ValueOnIter iter = copy->beginValueOn();
-
-      for (; iter; ++iter) {
-        if (iter.getValue() < ValueType(volume_clipping)) {
-          iter.setValueOff();
-        }
-      }
-
-      typed_grid = copy;
-    }
-
-    topology_grid->topologyUnion(*typed_grid);
-  }
-#endif
-};
-
-VolumeMeshBuilder::VolumeMeshBuilder()
-{
-  first_grid = true;
-}
-
-#ifdef WITH_OPENVDB
-void VolumeMeshBuilder::add_grid(openvdb::GridBase::ConstPtr grid,
-                                 bool do_clipping,
-                                 float volume_clipping)
-{
-  /* set the transform of our grid from the first one */
-  if (first_grid) {
-    topology_grid = openvdb::MaskGrid::create();
-    topology_grid->setTransform(grid->transform().copy());
-    first_grid = false;
-  }
-  /* if the transforms do not match, we need to resample one of the grids so that
-   * its index space registers with that of the other, here we resample our mask
-   * grid so memory usage is kept low */
-  else if (topology_grid->transform() != grid->transform()) {
-    openvdb::MaskGrid::Ptr temp_grid = topology_grid->copyWithNewTree();
-    temp_grid->setTransform(grid->transform().copy());
-    openvdb::tools::resampleToMatch<openvdb::tools::BoxSampler>(*topology_grid, *temp_grid);
-    topology_grid = temp_grid;
-    topology_grid->setTransform(grid->transform().copy());
-  }
-
-  if (grid->isType<openvdb::FloatGrid>()) {
-    merge_grid<openvdb::FloatGrid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::Vec3fGrid>()) {
-    merge_grid<openvdb::Vec3fGrid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::Vec4fGrid>()) {
-    merge_grid<openvdb::Vec4fGrid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::BoolGrid>()) {
-    merge_grid<openvdb::BoolGrid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::DoubleGrid>()) {
-    merge_grid<openvdb::DoubleGrid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::Int32Grid>()) {
-    merge_grid<openvdb::Int32Grid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::Int64Grid>()) {
-    merge_grid<openvdb::Int64Grid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::Vec3IGrid>()) {
-    merge_grid<openvdb::Vec3IGrid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::Vec3dGrid>()) {
-    merge_grid<openvdb::Vec3dGrid>(grid, do_clipping, volume_clipping);
-  }
-  else if (grid->isType<openvdb::MaskGrid>()) {
-    topology_grid->topologyUnion(*openvdb::gridConstPtrCast<openvdb::MaskGrid>(grid));
-  }
-}
-#endif
-
-void VolumeMeshBuilder::add_padding(int pad_size)
-{
-#ifdef WITH_OPENVDB
-  openvdb::tools::dilateVoxels(topology_grid->tree(), pad_size);
-#else
-  (void)pad_size;
-#endif
-}
-
-void VolumeMeshBuilder::create_mesh(vector<float3> &vertices,
-                                    vector<int> &indices,
-                                    vector<float3> &face_normals,
-                                    const float face_overlap_avoidance)
-{
-#ifdef WITH_OPENVDB
-  /* We create vertices in index space (is), and only convert them to object
-   * space when done. */
-  vector<int3> vertices_is;
-  vector<QuadData> quads;
-
-  /* make sure we only have leaf nodes in the tree, as tiles are not handled by
-   * this algorithm */
-  topology_grid->tree().voxelizeActiveTiles();
-
-  generate_vertices_and_quads(vertices_is, quads);
-
-  convert_object_space(vertices_is, vertices, face_overlap_avoidance);
-
-  convert_quads_to_tris(quads, indices, face_normals);
-#else
-  (void)vertices;
-  (void)indices;
-  (void)face_normals;
-  (void)face_overlap_avoidance;
-#endif
-}
-
-void VolumeMeshBuilder::generate_vertices_and_quads(vector<ccl::int3> &vertices_is,
-                                                    vector<QuadData> &quads)
-{
-#ifdef WITH_OPENVDB
-  const openvdb::MaskGrid::TreeType &tree = topology_grid->tree();
-  tree.evalLeafBoundingBox(bbox);
-
-  const int3 resolution = make_int3(bbox.dim().x(), bbox.dim().y(), bbox.dim().z());
-
-  unordered_map<size_t, int> used_verts;
-
-  for (auto iter = tree.cbeginLeaf(); iter; ++iter) {
-    openvdb::CoordBBox leaf_bbox = iter->getNodeBoundingBox();
-    /* +1 to convert from exclusive to include bounds. */
-    leaf_bbox.max() = leaf_bbox.max().offsetBy(1);
-
-    int3 min = make_int3(leaf_bbox.min().x(), leaf_bbox.min().y(), leaf_bbox.min().z());
-    int3 max = make_int3(leaf_bbox.max().x(), leaf_bbox.max().y(), leaf_bbox.max().z());
-
-    int3 corners[8] = {
-        make_int3(min[0], min[1], min[2]),
-        make_int3(max[0], min[1], min[2]),
-        make_int3(max[0], max[1], min[2]),
-        make_int3(min[0], max[1], min[2]),
-        make_int3(min[0], min[1], max[2]),
-        make_int3(max[0], min[1], max[2]),
-        make_int3(max[0], max[1], max[2]),
-        make_int3(min[0], max[1], max[2]),
-    };
-
-    /* Only create a quad if on the border between an active and an inactive leaf.
-     *
-     * We verify that a leaf exists by probing a coordinate that is at its center,
-     * to do so we compute the center of the current leaf and offset this coordinate
-     * by the size of a leaf in each direction.
-     */
-    static const int LEAF_DIM = openvdb::MaskGrid::TreeType::LeafNodeType::DIM;
-    auto center = leaf_bbox.min() + openvdb::Coord(LEAF_DIM / 2);
-
-    if (!tree.probeLeaf(openvdb::Coord(center.x() - LEAF_DIM, center.y(), center.z()))) {
-      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_X_MIN);
-    }
-
-    if (!tree.probeLeaf(openvdb::Coord(center.x() + LEAF_DIM, center.y(), center.z()))) {
-      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_X_MAX);
-    }
-
-    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y() - LEAF_DIM, center.z()))) {
-      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Y_MIN);
-    }
-
-    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y() + LEAF_DIM, center.z()))) {
-      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Y_MAX);
-    }
-
-    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y(), center.z() - LEAF_DIM))) {
-      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Z_MIN);
-    }
-
-    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y(), center.z() + LEAF_DIM))) {
-      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Z_MAX);
-    }
-  }
-#else
-  (void)vertices_is;
-  (void)quads;
-#endif
-}
-
-void VolumeMeshBuilder::convert_object_space(const vector<int3> &vertices,
-                                             vector<float3> &out_vertices,
-                                             const float face_overlap_avoidance)
-{
-#ifdef WITH_OPENVDB
-  /* compute the offset for the face overlap avoidance */
-  bbox = topology_grid->evalActiveVoxelBoundingBox();
-  openvdb::Coord dim = bbox.dim();
-
-  float3 cell_size = make_float3(1.0f / dim.x(), 1.0f / dim.y(), 1.0f / dim.z());
-  float3 point_offset = cell_size * face_overlap_avoidance;
-
-  out_vertices.reserve(vertices.size());
-
-  for (size_t i = 0; i < vertices.size(); ++i) {
-    openvdb::math::Vec3d p = topology_grid->indexToWorld(
-        openvdb::math::Vec3d(vertices[i].x, vertices[i].y, vertices[i].z));
-    float3 vertex = make_float3((float)p.x(), (float)p.y(), (float)p.z());
-    out_vertices.push_back(vertex + point_offset);
-  }
-#else
-  (void)vertices;
-  (void)out_vertices;
-  (void)face_overlap_avoidance;
-#endif
-}
-
-void VolumeMeshBuilder::convert_quads_to_tris(const vector<QuadData> &quads,
-                                              vector<int> &tris,
-                                              vector<float3> &face_normals)
-{
-  int index_offset = 0;
-  tris.resize(quads.size() * 6);
-  face_normals.reserve(quads.size() * 2);
-
-  for (size_t i = 0; i < quads.size(); ++i) {
-    tris[index_offset++] = quads[i].v0;
-    tris[index_offset++] = quads[i].v2;
-    tris[index_offset++] = quads[i].v1;
-
-    face_normals.push_back(quads[i].normal);
-
-    tris[index_offset++] = quads[i].v0;
-    tris[index_offset++] = quads[i].v3;
-    tris[index_offset++] = quads[i].v2;
-
-    face_normals.push_back(quads[i].normal);
-  }
-}
-
-bool VolumeMeshBuilder::empty_grid() const
-{
-#ifdef WITH_OPENVDB
-  return !topology_grid || topology_grid->tree().leafCount() == 0;
-#else
-  return true;
-#endif
-}
-
-#ifdef WITH_OPENVDB
-template<typename GridType>
-static openvdb::GridBase::ConstPtr openvdb_grid_from_device_texture(device_texture *image_memory,
-                                                                    float volume_clipping,
-                                                                    Transform transform_3d)
-{
-  using ValueType = typename GridType::ValueType;
-
-  openvdb::CoordBBox dense_bbox(0,
-                                0,
-                                0,
-                                image_memory->data_width - 1,
-                                image_memory->data_height - 1,
-                                image_memory->data_depth - 1);
-
-  typename GridType::Ptr sparse = GridType::create(ValueType(0.0f));
-  if (dense_bbox.empty()) {
-    return sparse;
-  }
-
-  openvdb::tools::Dense<ValueType, openvdb::tools::MemoryLayout::LayoutXYZ> dense(
-      dense_bbox, static_cast<ValueType *>(image_memory->host_pointer));
-
-  openvdb::tools::copyFromDense(dense, *sparse, ValueType(volume_clipping));
-
-  /* #copyFromDense will remove any leaf node that contains constant data and replace it with a
-   * tile, however, we need to preserve the leaves in order to generate the mesh, so re-voxelize
-   * the leaves that were pruned. This should not affect areas that were skipped due to the
-   * volume_clipping parameter. */
-  sparse->tree().voxelizeActiveTiles();
-
-  /* Compute index to world matrix. */
-  float3 voxel_size = make_float3(1.0f / image_memory->data_width,
-                                  1.0f / image_memory->data_height,
-                                  1.0f / image_memory->data_depth);
-
-  transform_3d = transform_inverse(transform_3d);
-
-  openvdb::Mat4R index_to_world_mat((double)(voxel_size.x * transform_3d[0][0]),
-                                    0.0,
-                                    0.0,
-                                    0.0,
-                                    0.0,
-                                    (double)(voxel_size.y * transform_3d[1][1]),
-                                    0.0,
-                                    0.0,
-                                    0.0,
-                                    0.0,
-                                    (double)(voxel_size.z * transform_3d[2][2]),
-                                    0.0,
-                                    (double)transform_3d[0][3],
-                                    (double)transform_3d[1][3],
-                                    (double)transform_3d[2][3],
-                                    1.0);
-
-  openvdb::math::Transform::Ptr index_to_world_tfm =
-      openvdb::math::Transform::createLinearTransform(index_to_world_mat);
-
-  sparse->setTransform(index_to_world_tfm);
-
-  return sparse;
-}
-#endif
-
-/* ************************************************************************** */
-
-void GeometryManager::create_volume_mesh(Volume *volume, Progress &progress)
-{
-  string msg = string_printf("Computing Volume Mesh %s", volume->name.c_str());
-  progress.set_status("Updating Mesh", msg);
-
-  /* Find shader and compute padding based on volume shader interpolation settings. */
-  Shader *volume_shader = NULL;
-  int pad_size = 0;
-
-  foreach (Node *node, volume->get_used_shaders()) {
-    Shader *shader = static_cast<Shader *>(node);
-
-    if (!shader->has_volume) {
-      continue;
-    }
-
-    volume_shader = shader;
-
-    if (shader->get_volume_interpolation_method() == VOLUME_INTERPOLATION_LINEAR) {
-      pad_size = max(1, pad_size);
-    }
-    else if (shader->get_volume_interpolation_method() == VOLUME_INTERPOLATION_CUBIC) {
-      pad_size = max(2, pad_size);
-    }
-
-    break;
-  }
-
-  /* Clear existing volume mesh, done here in case we early out due to
-   * empty grid or missing volume shader.
-   * Also keep the shaders to avoid infinite loops when synchronizing, as this will tag the shaders
-   * as having changed. */
-  volume->clear(true);
-  volume->need_update_rebuild = true;
-
-  if (!volume_shader) {
-    return;
-  }
-
-  /* Create volume mesh builder. */
-  VolumeMeshBuilder builder;
-
-#ifdef WITH_OPENVDB
-  foreach (Attribute &attr, volume->attributes.attributes) {
-    if (attr.element != ATTR_ELEMENT_VOXEL) {
-      continue;
-    }
-
-    bool do_clipping = false;
-
-    ImageHandle &handle = attr.data_voxel();
-
-    /* Try building from OpenVDB grid directly. */
-    VDBImageLoader *vdb_loader = handle.vdb_loader();
-    openvdb::GridBase::ConstPtr grid;
-    if (vdb_loader) {
-      grid = vdb_loader->get_grid();
-
-      /* If building from an OpenVDB grid, we need to manually clip the values. */
-      do_clipping = true;
-    }
-
-    /* Else fall back to creating an OpenVDB grid from the dense volume data. */
-    if (!grid) {
-      device_texture *image_memory = handle.image_memory();
-
-      if (image_memory->data_elements == 1) {
-        grid = openvdb_grid_from_device_texture<openvdb::FloatGrid>(
-            image_memory, volume->get_clipping(), handle.metadata().transform_3d);
-      }
-      else if (image_memory->data_elements == 3) {
-        grid = openvdb_grid_from_device_texture<openvdb::Vec3fGrid>(
-            image_memory, volume->get_clipping(), handle.metadata().transform_3d);
-      }
-      else if (image_memory->data_elements == 4) {
-        grid = openvdb_grid_from_device_texture<openvdb::Vec4fGrid>(
-            image_memory, volume->get_clipping(), handle.metadata().transform_3d);
-      }
-    }
-
-    if (grid) {
-      builder.add_grid(grid, do_clipping, volume->get_clipping());
-    }
-  }
-#endif
-
-  /* If nothing to build, early out. */
-  if (builder.empty_grid()) {
-    return;
-  }
-
-  builder.add_padding(pad_size);
-
-  /* Slightly offset vertex coordinates to avoid overlapping faces with other
-   * volumes or meshes. The proper solution would be to improve intersection in
-   * the kernel to support robust handling of multiple overlapping faces or use
-   * an all-hit intersection similar to shadows. */
-  const float face_overlap_avoidance = 0.1f *
-                                       hash_uint_to_float(hash_string(volume->name.c_str()));
-
-  /* Create mesh. */
-  vector<float3> vertices;
-  vector<int> indices;
-  vector<float3> face_normals;
-  builder.create_mesh(vertices, indices, face_normals, face_overlap_avoidance);
-
-  volume->reserve_mesh(vertices.size(), indices.size() / 3);
-  volume->used_shaders.clear();
-  volume->used_shaders.push_back_slow(volume_shader);
-
-  for (size_t i = 0; i < vertices.size(); ++i) {
-    volume->add_vertex(vertices[i]);
-  }
-
-  for (size_t i = 0; i < indices.size(); i += 3) {
-    volume->add_triangle(indices[i], indices[i + 1], indices[i + 2], 0, false);
-  }
-
-  Attribute *attr_fN = volume->attributes.add(ATTR_STD_FACE_NORMAL);
-  float3 *fN = attr_fN->data_float3();
-
-  for (size_t i = 0; i < face_normals.size(); ++i) {
-    fN[i] = face_normals[i];
-  }
-
-  /* Print stats. */
-  VLOG(1) << "Memory usage volume mesh: "
-          << ((vertices.size() + face_normals.size()) * sizeof(float3) +
-              indices.size() * sizeof(int)) /
-                 (1024.0 * 1024.0)
-          << "Mb.";
-}
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/render/volume.h b/intern/cycles/render/volume.h
deleted file mode 100644
index 2e9703bf7ed..00000000000
--- a/intern/cycles/render/volume.h
+++ /dev/null
@@ -1,38 +0,0 @@
-/*
- * Copyright 2020 Blender Foundation
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#pragma once
-
-#include "graph/node.h"
-
-#include "render/mesh.h"
-
-CCL_NAMESPACE_BEGIN
-
-class Volume : public Mesh {
- public:
-  NODE_DECLARE
-
-  Volume();
-
-  NODE_SOCKET_API(float, clipping)
-  NODE_SOCKET_API(float, step_size)
-  NODE_SOCKET_API(bool, object_space)
-
-  virtual void clear(bool preserve_shaders = false) override;
-};
-
-CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/CMakeLists.txt b/intern/cycles/scene/CMakeLists.txt
new file mode 100644
index 00000000000..a3fde99306b
--- /dev/null
+++ b/intern/cycles/scene/CMakeLists.txt
@@ -0,0 +1,163 @@
+# Copyright 2011-2021 Blender Foundation
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+set(INC
+  ..
+  ../../sky/include
+)
+
+set(SRC
+  alembic.cpp
+  alembic_read.cpp
+  attribute.cpp
+  background.cpp
+  bake.cpp
+  camera.cpp
+  colorspace.cpp
+  constant_fold.cpp
+  film.cpp
+  geometry.cpp
+  hair.cpp
+  image.cpp
+  image_oiio.cpp
+  image_sky.cpp
+  image_vdb.cpp
+  integrator.cpp
+  jitter.cpp
+  light.cpp
+  mesh.cpp
+  mesh_displace.cpp
+  mesh_subdivision.cpp
+  procedural.cpp
+  object.cpp
+  osl.cpp
+  particles.cpp
+  pass.cpp
+  curves.cpp
+  scene.cpp
+  shader.cpp
+  shader_graph.cpp
+  shader_nodes.cpp
+  sobol.cpp
+  stats.cpp
+  svm.cpp
+  tables.cpp
+  volume.cpp
+)
+
+set(SRC_HEADERS
+  alembic.h
+  alembic_read.h
+  attribute.h
+  bake.h
+  background.h
+  camera.h
+  colorspace.h
+  constant_fold.h
+  film.h
+  geometry.h
+  hair.h
+  image.h
+  image_oiio.h
+  image_sky.h
+  image_vdb.h
+  integrator.h
+  light.h
+  jitter.h
+  mesh.h
+  object.h
+  osl.h
+  particles.h
+  pass.h
+  procedural.h
+  curves.h
+  scene.h
+  shader.h
+  shader_graph.h
+  shader_nodes.h
+  sobol.h
+  stats.h
+  svm.h
+  tables.h
+  volume.h
+)
+
+set(LIB
+  cycles_bvh
+  cycles_device
+  cycles_integrator
+  cycles_subd
+  cycles_util
+)
+
+if(CYCLES_STANDALONE_REPOSITORY)
+  list(APPEND LIB extern_sky)
+else()
+  list(APPEND LIB bf_intern_sky)
+endif()
+
+if(WITH_CYCLES_OSL)
+  list(APPEND LIB
+    cycles_kernel_osl
+  )
+
+  SET_PROPERTY(SOURCE osl.cpp PROPERTY COMPILE_FLAGS ${RTTI_DISABLE_FLAGS})
+endif()
+
+if(WITH_OPENCOLORIO)
+  add_definitions(-DWITH_OCIO)
+  include_directories(
+    SYSTEM
+    ${OPENCOLORIO_INCLUDE_DIRS}
+  )
+  list(APPEND LIB
+    ${OPENCOLORIO_LIBRARIES}
+  )
+  if(WIN32)
+    add_definitions(-DOpenColorIO_SKIP_IMPORTS)
+  endif()
+endif()
+
+if(WITH_OPENVDB)
+  add_definitions(-DWITH_OPENVDB ${OPENVDB_DEFINITIONS})
+  list(APPEND INC_SYS
+    ${OPENVDB_INCLUDE_DIRS}
+  )
+  list(APPEND LIB
+    ${OPENVDB_LIBRARIES}
+  )
+endif()
+
+if(WITH_ALEMBIC)
+  add_definitions(-DWITH_ALEMBIC)
+  list(APPEND INC_SYS
+    ${ALEMBIC_INCLUDE_DIRS}
+  )
+  list(APPEND LIB
+    ${ALEMBIC_LIBRARIES}
+  )
+endif()
+
+if(WITH_NANOVDB)
+  list(APPEND INC_SYS
+    ${NANOVDB_INCLUDE_DIRS}
+  )
+endif()
+
+include_directories(${INC})
+include_directories(SYSTEM ${INC_SYS})
+
+add_definitions(${GL_DEFINITIONS})
+
+cycles_add_library(cycles_scene "${LIB}" ${SRC} ${SRC_HEADERS})
diff --git a/intern/cycles/scene/alembic.cpp b/intern/cycles/scene/alembic.cpp
new file mode 100644
index 00000000000..07a969e88d3
--- /dev/null
+++ b/intern/cycles/scene/alembic.cpp
@@ -0,0 +1,1431 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/alembic.h"
+
+#include "scene/alembic_read.h"
+#include "scene/camera.h"
+#include "scene/curves.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_progress.h"
+#include "util/util_transform.h"
+#include "util/util_vector.h"
+
+#ifdef WITH_ALEMBIC
+
+using namespace Alembic::AbcGeom;
+
+CCL_NAMESPACE_BEGIN
+
+/* TODO(kevindietrich): motion blur support. */
+
+template<typename SchemaType>
+static vector<FaceSetShaderIndexPair> parse_face_sets_for_shader_assignment(
+    SchemaType &schema, const array<Node *> &used_shaders)
+{
+  vector<FaceSetShaderIndexPair> result;
+
+  std::vector<std::string> face_set_names;
+  schema.getFaceSetNames(face_set_names);
+
+  if (face_set_names.empty()) {
+    return result;
+  }
+
+  for (const std::string &face_set_name : face_set_names) {
+    int shader_index = 0;
+
+    for (Node *node : used_shaders) {
+      if (node->name == face_set_name) {
+        break;
+      }
+
+      ++shader_index;
+    }
+
+    if (shader_index >= used_shaders.size()) {
+      /* use the first shader instead if none was found */
+      shader_index = 0;
+    }
+
+    const Alembic::AbcGeom::IFaceSet face_set = schema.getFaceSet(face_set_name);
+
+    if (!face_set.valid()) {
+      continue;
+    }
+
+    result.push_back({face_set, shader_index});
+  }
+
+  return result;
+}
+
+void CachedData::clear()
+{
+  attributes.clear();
+  curve_first_key.clear();
+  curve_keys.clear();
+  curve_radius.clear();
+  curve_shader.clear();
+  num_ngons.clear();
+  shader.clear();
+  subd_creases_edge.clear();
+  subd_creases_weight.clear();
+  subd_face_corners.clear();
+  subd_num_corners.clear();
+  subd_ptex_offset.clear();
+  subd_smooth.clear();
+  subd_start_corner.clear();
+  transforms.clear();
+  triangles.clear();
+  uv_loops.clear();
+  vertices.clear();
+
+  for (CachedAttribute &attr : attributes) {
+    attr.data.clear();
+  }
+
+  attributes.clear();
+}
+
+CachedData::CachedAttribute &CachedData::add_attribute(const ustring &name,
+                                                       const TimeSampling &time_sampling)
+{
+  for (auto &attr : attributes) {
+    if (attr.name == name) {
+      return attr;
+    }
+  }
+
+  CachedAttribute &attr = attributes.emplace_back();
+  attr.name = name;
+  attr.data.set_time_sampling(time_sampling);
+  return attr;
+}
+
+bool CachedData::is_constant() const
+{
+#  define CHECK_IF_CONSTANT(data) \
+    if (!data.is_constant()) { \
+      return false; \
+    }
+
+  CHECK_IF_CONSTANT(curve_first_key)
+  CHECK_IF_CONSTANT(curve_keys)
+  CHECK_IF_CONSTANT(curve_radius)
+  CHECK_IF_CONSTANT(curve_shader)
+  CHECK_IF_CONSTANT(num_ngons)
+  CHECK_IF_CONSTANT(shader)
+  CHECK_IF_CONSTANT(subd_creases_edge)
+  CHECK_IF_CONSTANT(subd_creases_weight)
+  CHECK_IF_CONSTANT(subd_face_corners)
+  CHECK_IF_CONSTANT(subd_num_corners)
+  CHECK_IF_CONSTANT(subd_ptex_offset)
+  CHECK_IF_CONSTANT(subd_smooth)
+  CHECK_IF_CONSTANT(subd_start_corner)
+  CHECK_IF_CONSTANT(transforms)
+  CHECK_IF_CONSTANT(triangles)
+  CHECK_IF_CONSTANT(uv_loops)
+  CHECK_IF_CONSTANT(vertices)
+
+  for (const CachedAttribute &attr : attributes) {
+    if (!attr.data.is_constant()) {
+      return false;
+    }
+  }
+
+  return true;
+
+#  undef CHECK_IF_CONSTANT
+}
+
+void CachedData::invalidate_last_loaded_time(bool attributes_only)
+{
+  if (attributes_only) {
+    for (CachedAttribute &attr : attributes) {
+      attr.data.invalidate_last_loaded_time();
+    }
+
+    return;
+  }
+
+  curve_first_key.invalidate_last_loaded_time();
+  curve_keys.invalidate_last_loaded_time();
+  curve_radius.invalidate_last_loaded_time();
+  curve_shader.invalidate_last_loaded_time();
+  num_ngons.invalidate_last_loaded_time();
+  shader.invalidate_last_loaded_time();
+  subd_creases_edge.invalidate_last_loaded_time();
+  subd_creases_weight.invalidate_last_loaded_time();
+  subd_face_corners.invalidate_last_loaded_time();
+  subd_num_corners.invalidate_last_loaded_time();
+  subd_ptex_offset.invalidate_last_loaded_time();
+  subd_smooth.invalidate_last_loaded_time();
+  subd_start_corner.invalidate_last_loaded_time();
+  transforms.invalidate_last_loaded_time();
+  triangles.invalidate_last_loaded_time();
+  uv_loops.invalidate_last_loaded_time();
+  vertices.invalidate_last_loaded_time();
+}
+
+void CachedData::set_time_sampling(TimeSampling time_sampling)
+{
+  curve_first_key.set_time_sampling(time_sampling);
+  curve_keys.set_time_sampling(time_sampling);
+  curve_radius.set_time_sampling(time_sampling);
+  curve_shader.set_time_sampling(time_sampling);
+  num_ngons.set_time_sampling(time_sampling);
+  shader.set_time_sampling(time_sampling);
+  subd_creases_edge.set_time_sampling(time_sampling);
+  subd_creases_weight.set_time_sampling(time_sampling);
+  subd_face_corners.set_time_sampling(time_sampling);
+  subd_num_corners.set_time_sampling(time_sampling);
+  subd_ptex_offset.set_time_sampling(time_sampling);
+  subd_smooth.set_time_sampling(time_sampling);
+  subd_start_corner.set_time_sampling(time_sampling);
+  transforms.set_time_sampling(time_sampling);
+  triangles.set_time_sampling(time_sampling);
+  uv_loops.set_time_sampling(time_sampling);
+  vertices.set_time_sampling(time_sampling);
+
+  for (CachedAttribute &attr : attributes) {
+    attr.data.set_time_sampling(time_sampling);
+  }
+}
+
+size_t CachedData::memory_used() const
+{
+  size_t mem_used = 0;
+
+  mem_used += curve_first_key.memory_used();
+  mem_used += curve_keys.memory_used();
+  mem_used += curve_radius.memory_used();
+  mem_used += curve_shader.memory_used();
+  mem_used += num_ngons.memory_used();
+  mem_used += shader.memory_used();
+  mem_used += subd_creases_edge.memory_used();
+  mem_used += subd_creases_weight.memory_used();
+  mem_used += subd_face_corners.memory_used();
+  mem_used += subd_num_corners.memory_used();
+  mem_used += subd_ptex_offset.memory_used();
+  mem_used += subd_smooth.memory_used();
+  mem_used += subd_start_corner.memory_used();
+  mem_used += transforms.memory_used();
+  mem_used += triangles.memory_used();
+  mem_used += uv_loops.memory_used();
+  mem_used += vertices.memory_used();
+
+  for (const CachedAttribute &attr : attributes) {
+    mem_used += attr.data.memory_used();
+  }
+
+  return mem_used;
+}
+
+static M44d convert_yup_zup(const M44d &mtx, float scale_mult)
+{
+  V3d scale, shear, rotation, translation;
+  extractSHRT(mtx,
+              scale,
+              shear,
+              rotation,
+              translation,
+              true,
+              IMATH_INTERNAL_NAMESPACE::Euler<double>::XZY);
+
+  M44d rot_mat, scale_mat, trans_mat;
+  rot_mat.setEulerAngles(V3d(rotation.x, -rotation.z, rotation.y));
+  scale_mat.setScale(V3d(scale.x, scale.z, scale.y));
+  trans_mat.setTranslation(V3d(translation.x, -translation.z, translation.y));
+
+  M44d temp_mat = scale_mat * rot_mat * trans_mat;
+
+  scale_mat.setScale(static_cast<double>(scale_mult));
+
+  return temp_mat * scale_mat;
+}
+
+static void transform_decompose(
+    const M44d &mat, V3d &scale, V3d &shear, Quatd &rotation, V3d &translation)
+{
+  M44d mat_remainder(mat);
+
+  /* extract scale and shear */
+  Imath::extractAndRemoveScalingAndShear(mat_remainder, scale, shear);
+
+  /* extract translation */
+  translation.x = mat_remainder[3][0];
+  translation.y = mat_remainder[3][1];
+  translation.z = mat_remainder[3][2];
+
+  /* extract rotation */
+  rotation = extractQuat(mat_remainder);
+}
+
+static M44d transform_compose(const V3d &scale,
+                              const V3d &shear,
+                              const Quatd &rotation,
+                              const V3d &translation)
+{
+  M44d scale_mat, shear_mat, rot_mat, trans_mat;
+
+  scale_mat.setScale(scale);
+  shear_mat.setShear(shear);
+  rot_mat = rotation.toMatrix44();
+  trans_mat.setTranslation(translation);
+
+  return scale_mat * shear_mat * rot_mat * trans_mat;
+}
+
+/* get the matrix for the specified time, or return the identity matrix if there is no exact match
+ */
+static M44d get_matrix_for_time(const MatrixSampleMap &samples, chrono_t time)
+{
+  MatrixSampleMap::const_iterator iter = samples.find(time);
+  if (iter != samples.end()) {
+    return iter->second;
+  }
+
+  return M44d();
+}
+
+/* get the matrix for the specified time, or interpolate between samples if there is no exact match
+ */
+static M44d get_interpolated_matrix_for_time(const MatrixSampleMap &samples, chrono_t time)
+{
+  if (samples.empty()) {
+    return M44d();
+  }
+
+  /* see if exact match */
+  MatrixSampleMap::const_iterator iter = samples.find(time);
+  if (iter != samples.end()) {
+    return iter->second;
+  }
+
+  if (samples.size() == 1) {
+    return samples.begin()->second;
+  }
+
+  if (time <= samples.begin()->first) {
+    return samples.begin()->second;
+  }
+
+  if (time >= samples.rbegin()->first) {
+    return samples.rbegin()->second;
+  }
+
+  /* find previous and next time sample to interpolate */
+  chrono_t prev_time = samples.begin()->first;
+  chrono_t next_time = samples.rbegin()->first;
+
+  for (MatrixSampleMap::const_iterator I = samples.begin(); I != samples.end(); ++I) {
+    chrono_t current_time = (*I).first;
+
+    if (current_time > prev_time && current_time <= time) {
+      prev_time = current_time;
+    }
+
+    if (current_time > next_time && current_time >= time) {
+      next_time = current_time;
+    }
+  }
+
+  const M44d prev_mat = get_matrix_for_time(samples, prev_time);
+  const M44d next_mat = get_matrix_for_time(samples, next_time);
+
+  V3d prev_scale, next_scale;
+  V3d prev_shear, next_shear;
+  V3d prev_translation, next_translation;
+  Quatd prev_rotation, next_rotation;
+
+  transform_decompose(prev_mat, prev_scale, prev_shear, prev_rotation, prev_translation);
+  transform_decompose(next_mat, next_scale, next_shear, next_rotation, next_translation);
+
+  chrono_t t = (time - prev_time) / (next_time - prev_time);
+
+  /* Ensure rotation around the shortest angle. */
+  if ((prev_rotation ^ next_rotation) < 0) {
+    next_rotation = -next_rotation;
+  }
+
+  return transform_compose(Imath::lerp(prev_scale, next_scale, t),
+                           Imath::lerp(prev_shear, next_shear, t),
+                           Imath::slerp(prev_rotation, next_rotation, t),
+                           Imath::lerp(prev_translation, next_translation, t));
+}
+
+static void concatenate_xform_samples(const MatrixSampleMap &parent_samples,
+                                      const MatrixSampleMap &local_samples,
+                                      MatrixSampleMap &output_samples)
+{
+  set<chrono_t> union_of_samples;
+
+  for (const std::pair<chrono_t, M44d> pair : parent_samples) {
+    union_of_samples.insert(pair.first);
+  }
+
+  for (const std::pair<chrono_t, M44d> pair : local_samples) {
+    union_of_samples.insert(pair.first);
+  }
+
+  foreach (chrono_t time, union_of_samples) {
+    M44d parent_matrix = get_interpolated_matrix_for_time(parent_samples, time);
+    M44d local_matrix = get_interpolated_matrix_for_time(local_samples, time);
+
+    output_samples[time] = local_matrix * parent_matrix;
+  }
+}
+
+static Transform make_transform(const M44d &a, float scale)
+{
+  M44d m = convert_yup_zup(a, scale);
+  Transform trans;
+  for (int j = 0; j < 3; j++) {
+    for (int i = 0; i < 4; i++) {
+      trans[j][i] = static_cast<float>(m[i][j]);
+    }
+  }
+  return trans;
+}
+
+NODE_DEFINE(AlembicObject)
+{
+  NodeType *type = NodeType::add("alembic_object", create);
+
+  SOCKET_STRING(path, "Alembic Path", ustring());
+  SOCKET_NODE_ARRAY(used_shaders, "Used Shaders", Shader::get_node_type());
+
+  SOCKET_BOOLEAN(ignore_subdivision, "Ignore Subdivision", true);
+
+  SOCKET_INT(subd_max_level, "Max Subdivision Level", 1);
+  SOCKET_FLOAT(subd_dicing_rate, "Subdivision Dicing Rate", 1.0f);
+
+  SOCKET_FLOAT(radius_scale, "Radius Scale", 1.0f);
+
+  return type;
+}
+
+AlembicObject::AlembicObject() : Node(get_node_type())
+{
+  schema_type = INVALID;
+}
+
+AlembicObject::~AlembicObject()
+{
+}
+
+void AlembicObject::set_object(Object *object_)
+{
+  object = object_;
+}
+
+Object *AlembicObject::get_object()
+{
+  return object;
+}
+
+bool AlembicObject::has_data_loaded() const
+{
+  return data_loaded;
+}
+
+void AlembicObject::load_data_in_cache(CachedData &cached_data,
+                                       AlembicProcedural *proc,
+                                       IPolyMeshSchema &schema,
+                                       Progress &progress)
+{
+  /* Only load data for the original Geometry. */
+  if (instance_of) {
+    return;
+  }
+
+  cached_data.clear();
+
+  PolyMeshSchemaData data;
+  data.topology_variance = schema.getTopologyVariance();
+  data.time_sampling = schema.getTimeSampling();
+  data.positions = schema.getPositionsProperty();
+  data.face_counts = schema.getFaceCountsProperty();
+  data.face_indices = schema.getFaceIndicesProperty();
+  data.normals = schema.getNormalsParam();
+  data.num_samples = schema.getNumSamples();
+  data.shader_face_sets = parse_face_sets_for_shader_assignment(schema, get_used_shaders());
+
+  read_geometry_data(proc, cached_data, data, progress);
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  /* Use the schema as the base compound property to also be able to look for top level properties.
+   */
+  read_attributes(
+      proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  cached_data.invalidate_last_loaded_time(true);
+  data_loaded = true;
+}
+
+void AlembicObject::load_data_in_cache(CachedData &cached_data,
+                                       AlembicProcedural *proc,
+                                       ISubDSchema &schema,
+                                       Progress &progress)
+{
+  /* Only load data for the original Geometry. */
+  if (instance_of) {
+    return;
+  }
+
+  cached_data.clear();
+
+  if (this->get_ignore_subdivision()) {
+    PolyMeshSchemaData data;
+    data.topology_variance = schema.getTopologyVariance();
+    data.time_sampling = schema.getTimeSampling();
+    data.positions = schema.getPositionsProperty();
+    data.face_counts = schema.getFaceCountsProperty();
+    data.face_indices = schema.getFaceIndicesProperty();
+    data.num_samples = schema.getNumSamples();
+    data.velocities = schema.getVelocitiesProperty();
+    data.shader_face_sets = parse_face_sets_for_shader_assignment(schema, get_used_shaders());
+
+    read_geometry_data(proc, cached_data, data, progress);
+
+    if (progress.get_cancel()) {
+      return;
+    }
+
+    /* Use the schema as the base compound property to also be able to look for top level
+     * properties. */
+    read_attributes(
+        proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
+
+    cached_data.invalidate_last_loaded_time(true);
+    data_loaded = true;
+    return;
+  }
+
+  SubDSchemaData data;
+  data.time_sampling = schema.getTimeSampling();
+  data.num_samples = schema.getNumSamples();
+  data.topology_variance = schema.getTopologyVariance();
+  data.face_counts = schema.getFaceCountsProperty();
+  data.face_indices = schema.getFaceIndicesProperty();
+  data.positions = schema.getPositionsProperty();
+  data.face_varying_interpolate_boundary = schema.getFaceVaryingInterpolateBoundaryProperty();
+  data.face_varying_propagate_corners = schema.getFaceVaryingPropagateCornersProperty();
+  data.interpolate_boundary = schema.getInterpolateBoundaryProperty();
+  data.crease_indices = schema.getCreaseIndicesProperty();
+  data.crease_lengths = schema.getCreaseLengthsProperty();
+  data.crease_sharpnesses = schema.getCreaseSharpnessesProperty();
+  data.corner_indices = schema.getCornerIndicesProperty();
+  data.corner_sharpnesses = schema.getCornerSharpnessesProperty();
+  data.holes = schema.getHolesProperty();
+  data.subdivision_scheme = schema.getSubdivisionSchemeProperty();
+  data.velocities = schema.getVelocitiesProperty();
+  data.shader_face_sets = parse_face_sets_for_shader_assignment(schema, get_used_shaders());
+
+  read_geometry_data(proc, cached_data, data, progress);
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  /* Use the schema as the base compound property to also be able to look for top level properties.
+   */
+  read_attributes(
+      proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
+
+  cached_data.invalidate_last_loaded_time(true);
+  data_loaded = true;
+}
+
+void AlembicObject::load_data_in_cache(CachedData &cached_data,
+                                       AlembicProcedural *proc,
+                                       const ICurvesSchema &schema,
+                                       Progress &progress)
+{
+  /* Only load data for the original Geometry. */
+  if (instance_of) {
+    return;
+  }
+
+  cached_data.clear();
+
+  CurvesSchemaData data;
+  data.positions = schema.getPositionsProperty();
+  data.position_weights = schema.getPositionWeightsProperty();
+  data.normals = schema.getNormalsParam();
+  data.knots = schema.getKnotsProperty();
+  data.orders = schema.getOrdersProperty();
+  data.widths = schema.getWidthsParam();
+  data.velocities = schema.getVelocitiesProperty();
+  data.time_sampling = schema.getTimeSampling();
+  data.topology_variance = schema.getTopologyVariance();
+  data.num_samples = schema.getNumSamples();
+  data.num_vertices = schema.getNumVerticesProperty();
+  data.default_radius = proc->get_default_radius();
+  data.radius_scale = get_radius_scale();
+
+  read_geometry_data(proc, cached_data, data, progress);
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  /* Use the schema as the base compound property to also be able to look for top level properties.
+   */
+  read_attributes(
+      proc, cached_data, schema, schema.getUVsParam(), get_requested_attributes(), progress);
+
+  cached_data.invalidate_last_loaded_time(true);
+  data_loaded = true;
+}
+
+void AlembicObject::setup_transform_cache(CachedData &cached_data, float scale)
+{
+  cached_data.transforms.clear();
+  cached_data.transforms.invalidate_last_loaded_time();
+
+  if (scale == 0.0f) {
+    scale = 1.0f;
+  }
+
+  if (xform_time_sampling) {
+    cached_data.transforms.set_time_sampling(*xform_time_sampling);
+  }
+
+  if (xform_samples.size() == 0) {
+    Transform tfm = transform_scale(make_float3(scale));
+    cached_data.transforms.add_data(tfm, 0.0);
+  }
+  else {
+    /* It is possible for a leaf node of the hierarchy to have multiple samples for its transforms
+     * if a sibling has animated transforms. So check if we indeed have animated transformations.
+     */
+    M44d first_matrix = xform_samples.begin()->first;
+    bool has_animation = false;
+    for (const std::pair<chrono_t, M44d> pair : xform_samples) {
+      if (pair.second != first_matrix) {
+        has_animation = true;
+        break;
+      }
+    }
+
+    if (!has_animation) {
+      Transform tfm = make_transform(first_matrix, scale);
+      cached_data.transforms.add_data(tfm, 0.0);
+    }
+    else {
+      for (const std::pair<chrono_t, M44d> pair : xform_samples) {
+        Transform tfm = make_transform(pair.second, scale);
+        cached_data.transforms.add_data(tfm, pair.first);
+      }
+    }
+  }
+}
+
+AttributeRequestSet AlembicObject::get_requested_attributes()
+{
+  AttributeRequestSet requested_attributes;
+
+  Geometry *geometry = object->get_geometry();
+  assert(geometry);
+
+  foreach (Node *node, geometry->get_used_shaders()) {
+    Shader *shader = static_cast<Shader *>(node);
+
+    foreach (const AttributeRequest &attr, shader->attributes.requests) {
+      if (attr.name != "") {
+        requested_attributes.add(attr.name);
+      }
+    }
+  }
+
+  return requested_attributes;
+}
+
+/* Update existing attributes and remove any attribute not in the cached_data, those attributes
+ * were added by Cycles (e.g. face normals) */
+static void update_attributes(AttributeSet &attributes, CachedData &cached_data, double frame_time)
+{
+  set<Attribute *> cached_attributes;
+
+  for (CachedData::CachedAttribute &attribute : cached_data.attributes) {
+    const CacheLookupResult<array<char>> result = attribute.data.data_for_time(frame_time);
+
+    if (result.has_no_data_for_time()) {
+      continue;
+    }
+
+    Attribute *attr = nullptr;
+    if (attribute.std != ATTR_STD_NONE) {
+      attr = attributes.add(attribute.std, attribute.name);
+    }
+    else {
+      attr = attributes.add(attribute.name, attribute.type_desc, attribute.element);
+    }
+    assert(attr);
+
+    cached_attributes.insert(attr);
+
+    if (!result.has_new_data()) {
+      continue;
+    }
+
+    const ccl::array<char> &attr_data = result.get_data();
+
+    /* weak way of detecting if the topology has changed
+     * todo: reuse code from device_update patch */
+    if (attr->buffer.size() != attr_data.size()) {
+      attr->buffer.resize(attr_data.size());
+    }
+
+    memcpy(attr->data(), attr_data.data(), attr_data.size());
+    attr->modified = true;
+  }
+
+  /* remove any attributes not in cached_attributes */
+  list<Attribute>::iterator it;
+  for (it = attributes.attributes.begin(); it != attributes.attributes.end();) {
+    if (cached_attributes.find(&(*it)) == cached_attributes.end()) {
+      attributes.remove(it++);
+      continue;
+    }
+
+    it++;
+  }
+}
+
+NODE_DEFINE(AlembicProcedural)
+{
+  NodeType *type = NodeType::add("alembic", create);
+
+  SOCKET_STRING(filepath, "Filename", ustring());
+  SOCKET_FLOAT(frame, "Frame", 1.0f);
+  SOCKET_FLOAT(start_frame, "Start Frame", 1.0f);
+  SOCKET_FLOAT(end_frame, "End Frame", 1.0f);
+  SOCKET_FLOAT(frame_rate, "Frame Rate", 24.0f);
+  SOCKET_FLOAT(frame_offset, "Frame Offset", 0.0f);
+  SOCKET_FLOAT(default_radius, "Default Radius", 0.01f);
+  SOCKET_FLOAT(scale, "Scale", 1.0f);
+
+  SOCKET_NODE_ARRAY(objects, "Objects", AlembicObject::get_node_type());
+
+  SOCKET_BOOLEAN(use_prefetch, "Use Prefetch", true);
+  SOCKET_INT(prefetch_cache_size, "Prefetch Cache Size", 4096);
+
+  return type;
+}
+
+AlembicProcedural::AlembicProcedural() : Procedural(get_node_type())
+{
+  objects_loaded = false;
+  scene_ = nullptr;
+}
+
+AlembicProcedural::~AlembicProcedural()
+{
+  ccl::set<Geometry *> geometries_set;
+  ccl::set<Object *> objects_set;
+  ccl::set<AlembicObject *> abc_objects_set;
+
+  foreach (Node *node, objects) {
+    AlembicObject *abc_object = static_cast<AlembicObject *>(node);
+
+    if (abc_object->get_object()) {
+      objects_set.insert(abc_object->get_object());
+
+      if (abc_object->get_object()->get_geometry()) {
+        geometries_set.insert(abc_object->get_object()->get_geometry());
+      }
+    }
+
+    delete_node(abc_object);
+  }
+
+  /* We may delete a Procedural before rendering started, so scene_ can be null. */
+  if (!scene_) {
+    assert(geometries_set.empty());
+    assert(objects_set.empty());
+    return;
+  }
+
+  scene_->delete_nodes(geometries_set, this);
+  scene_->delete_nodes(objects_set, this);
+}
+
+void AlembicProcedural::generate(Scene *scene, Progress &progress)
+{
+  assert(scene_ == nullptr || scene_ == scene);
+  scene_ = scene;
+
+  if (frame < start_frame || frame > end_frame) {
+    clear_modified();
+    return;
+  }
+
+  bool need_shader_updates = false;
+  bool need_data_updates = false;
+
+  foreach (Node *object_node, objects) {
+    AlembicObject *object = static_cast<AlembicObject *>(object_node);
+
+    if (object->is_modified()) {
+      need_data_updates = true;
+    }
+
+    /* Check if the shaders were modified. */
+    if (object->used_shaders_is_modified() && object->get_object() &&
+        object->get_object()->get_geometry()) {
+      Geometry *geometry = object->get_object()->get_geometry();
+      array<Node *> used_shaders = object->get_used_shaders();
+      geometry->set_used_shaders(used_shaders);
+      need_shader_updates = true;
+    }
+
+    /* Check for changes in shaders (e.g. newly requested attributes). */
+    foreach (Node *shader_node, object->get_used_shaders()) {
+      Shader *shader = static_cast<Shader *>(shader_node);
+
+      if (shader->need_update_geometry()) {
+        object->need_shader_update = true;
+        need_shader_updates = true;
+      }
+    }
+  }
+
+  if (!is_modified() && !need_shader_updates && !need_data_updates) {
+    return;
+  }
+
+  if (!archive.valid()) {
+    Alembic::AbcCoreFactory::IFactory factory;
+    factory.setPolicy(Alembic::Abc::ErrorHandler::kQuietNoopPolicy);
+    archive = factory.getArchive(filepath.c_str());
+
+    if (!archive.valid()) {
+      /* avoid potential infinite update loops in viewport synchronization */
+      filepath.clear();
+      clear_modified();
+      return;
+    }
+  }
+
+  if (!objects_loaded || objects_is_modified()) {
+    load_objects(progress);
+    objects_loaded = true;
+  }
+
+  const chrono_t frame_time = (chrono_t)((frame - frame_offset) / frame_rate);
+
+  /* Clear the subdivision caches as the data is stored differently. */
+  for (Node *node : objects) {
+    AlembicObject *object = static_cast<AlembicObject *>(node);
+
+    if (object->schema_type != AlembicObject::SUBD) {
+      continue;
+    }
+
+    if (object->ignore_subdivision_is_modified()) {
+      object->clear_cache();
+    }
+  }
+
+  if (use_prefetch_is_modified()) {
+    if (!use_prefetch) {
+      for (Node *node : objects) {
+        AlembicObject *object = static_cast<AlembicObject *>(node);
+        object->clear_cache();
+      }
+    }
+  }
+
+  if (prefetch_cache_size_is_modified()) {
+    /* Check whether the current memory usage fits in the new requested size,
+     * abort the render if it is any higher. */
+    size_t memory_used = 0ul;
+    for (Node *node : objects) {
+      AlembicObject *object = static_cast<AlembicObject *>(node);
+      memory_used += object->get_cached_data().memory_used();
+    }
+
+    if (memory_used > get_prefetch_cache_size_in_bytes()) {
+      progress.set_error("Error: Alembic Procedural memory limit reached");
+      return;
+    }
+  }
+
+  build_caches(progress);
+
+  foreach (Node *node, objects) {
+    AlembicObject *object = static_cast<AlembicObject *>(node);
+
+    if (progress.get_cancel()) {
+      return;
+    }
+
+    /* skip constant objects */
+    if (object->is_constant() && !object->is_modified() && !object->need_shader_update &&
+        !scale_is_modified()) {
+      continue;
+    }
+
+    if (object->schema_type == AlembicObject::POLY_MESH) {
+      read_mesh(object, frame_time);
+    }
+    else if (object->schema_type == AlembicObject::CURVES) {
+      read_curves(object, frame_time);
+    }
+    else if (object->schema_type == AlembicObject::SUBD) {
+      read_subd(object, frame_time);
+    }
+
+    object->need_shader_update = false;
+    object->clear_modified();
+  }
+
+  clear_modified();
+}
+
+void AlembicProcedural::add_object(AlembicObject *object)
+{
+  objects.push_back_slow(object);
+  tag_objects_modified();
+}
+
+void AlembicProcedural::tag_update(Scene *scene)
+{
+  scene->procedural_manager->tag_update();
+}
+
+AlembicObject *AlembicProcedural::get_or_create_object(const ustring &path)
+{
+  foreach (Node *node, objects) {
+    AlembicObject *object = static_cast<AlembicObject *>(node);
+
+    if (object->get_path() == path) {
+      return object;
+    }
+  }
+
+  AlembicObject *object = create_node<AlembicObject>();
+  object->set_path(path);
+
+  add_object(object);
+
+  return object;
+}
+
+void AlembicProcedural::load_objects(Progress &progress)
+{
+  unordered_map<string, AlembicObject *> object_map;
+
+  foreach (Node *node, objects) {
+    AlembicObject *object = static_cast<AlembicObject *>(node);
+
+    /* only consider newly added objects */
+    if (object->get_object() == nullptr) {
+      object_map.insert({object->get_path().c_str(), object});
+    }
+  }
+
+  IObject root = archive.getTop();
+
+  for (size_t i = 0; i < root.getNumChildren(); ++i) {
+    walk_hierarchy(root, root.getChildHeader(i), {}, object_map, progress);
+  }
+
+  /* Create nodes in the scene. */
+  for (std::pair<string, AlembicObject *> pair : object_map) {
+    AlembicObject *abc_object = pair.second;
+
+    Geometry *geometry = nullptr;
+
+    if (!abc_object->instance_of) {
+      if (abc_object->schema_type == AlembicObject::CURVES) {
+        geometry = scene_->create_node<Hair>();
+      }
+      else if (abc_object->schema_type == AlembicObject::POLY_MESH ||
+               abc_object->schema_type == AlembicObject::SUBD) {
+        geometry = scene_->create_node<Mesh>();
+      }
+      else {
+        continue;
+      }
+
+      geometry->set_owner(this);
+      geometry->name = abc_object->iobject.getName();
+
+      array<Node *> used_shaders = abc_object->get_used_shaders();
+      geometry->set_used_shaders(used_shaders);
+    }
+
+    Object *object = scene_->create_node<Object>();
+    object->set_owner(this);
+    object->set_geometry(geometry);
+    object->name = abc_object->iobject.getName();
+
+    abc_object->set_object(object);
+  }
+
+  /* Share geometries between instances. */
+  foreach (Node *node, objects) {
+    AlembicObject *abc_object = static_cast<AlembicObject *>(node);
+
+    if (abc_object->instance_of) {
+      abc_object->get_object()->set_geometry(
+          abc_object->instance_of->get_object()->get_geometry());
+      abc_object->schema_type = abc_object->instance_of->schema_type;
+    }
+  }
+}
+
+void AlembicProcedural::read_mesh(AlembicObject *abc_object, Abc::chrono_t frame_time)
+{
+  CachedData &cached_data = abc_object->get_cached_data();
+
+  /* update sockets */
+
+  Object *object = abc_object->get_object();
+  cached_data.transforms.copy_to_socket(frame_time, object, object->get_tfm_socket());
+
+  if (object->is_modified()) {
+    object->tag_update(scene_);
+  }
+
+  /* Only update sockets for the original Geometry. */
+  if (abc_object->instance_of) {
+    return;
+  }
+
+  Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
+
+  /* Make sure shader ids are also updated. */
+  if (mesh->used_shaders_is_modified()) {
+    mesh->tag_shader_modified();
+  }
+
+  cached_data.vertices.copy_to_socket(frame_time, mesh, mesh->get_verts_socket());
+
+  cached_data.shader.copy_to_socket(frame_time, mesh, mesh->get_shader_socket());
+
+  array<int3> *triangle_data = cached_data.triangles.data_for_time(frame_time).get_data_or_null();
+  if (triangle_data) {
+    array<int> triangles;
+    array<bool> smooth;
+
+    triangles.reserve(triangle_data->size() * 3);
+    smooth.reserve(triangle_data->size());
+
+    for (size_t i = 0; i < triangle_data->size(); ++i) {
+      int3 tri = (*triangle_data)[i];
+      triangles.push_back_reserved(tri.x);
+      triangles.push_back_reserved(tri.y);
+      triangles.push_back_reserved(tri.z);
+      smooth.push_back_reserved(1);
+    }
+
+    mesh->set_triangles(triangles);
+    mesh->set_smooth(smooth);
+  }
+
+  /* update attributes */
+
+  update_attributes(mesh->attributes, cached_data, frame_time);
+
+  if (mesh->is_modified()) {
+    bool need_rebuild = mesh->triangles_is_modified();
+    mesh->tag_update(scene_, need_rebuild);
+  }
+}
+
+void AlembicProcedural::read_subd(AlembicObject *abc_object, Abc::chrono_t frame_time)
+{
+  if (abc_object->get_ignore_subdivision()) {
+    read_mesh(abc_object, frame_time);
+    return;
+  }
+
+  CachedData &cached_data = abc_object->get_cached_data();
+
+  /* Update sockets. */
+
+  Object *object = abc_object->get_object();
+  cached_data.transforms.copy_to_socket(frame_time, object, object->get_tfm_socket());
+
+  if (object->is_modified()) {
+    object->tag_update(scene_);
+  }
+
+  /* Only update sockets for the original Geometry. */
+  if (abc_object->instance_of) {
+    return;
+  }
+
+  if (abc_object->subd_max_level_is_modified() || abc_object->subd_dicing_rate_is_modified()) {
+    /* need to reset the current data is something changed */
+    cached_data.invalidate_last_loaded_time();
+  }
+
+  Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
+
+  /* Make sure shader ids are also updated. */
+  if (mesh->used_shaders_is_modified()) {
+    mesh->tag_shader_modified();
+  }
+
+  /* Cycles overwrites the original triangles when computing displacement, so we always have to
+   * repass the data if something is animated (vertices most likely) to avoid buffer overflows. */
+  if (!cached_data.is_constant()) {
+    cached_data.invalidate_last_loaded_time();
+
+    /* remove previous triangles, if any */
+    array<int> triangles;
+    mesh->set_triangles(triangles);
+  }
+
+  mesh->clear_non_sockets();
+
+  /* Alembic is OpenSubDiv compliant, there is no option to set another subdivision type. */
+  mesh->set_subdivision_type(Mesh::SubdivisionType::SUBDIVISION_CATMULL_CLARK);
+  mesh->set_subd_max_level(abc_object->get_subd_max_level());
+  mesh->set_subd_dicing_rate(abc_object->get_subd_dicing_rate());
+
+  cached_data.vertices.copy_to_socket(frame_time, mesh, mesh->get_verts_socket());
+
+  /* cached_data.shader is also used for subd_shader */
+  cached_data.shader.copy_to_socket(frame_time, mesh, mesh->get_subd_shader_socket());
+
+  cached_data.subd_start_corner.copy_to_socket(
+      frame_time, mesh, mesh->get_subd_start_corner_socket());
+
+  cached_data.subd_num_corners.copy_to_socket(
+      frame_time, mesh, mesh->get_subd_num_corners_socket());
+
+  cached_data.subd_smooth.copy_to_socket(frame_time, mesh, mesh->get_subd_smooth_socket());
+
+  cached_data.subd_ptex_offset.copy_to_socket(
+      frame_time, mesh, mesh->get_subd_ptex_offset_socket());
+
+  cached_data.subd_face_corners.copy_to_socket(
+      frame_time, mesh, mesh->get_subd_face_corners_socket());
+
+  cached_data.num_ngons.copy_to_socket(frame_time, mesh, mesh->get_num_ngons_socket());
+
+  cached_data.subd_creases_edge.copy_to_socket(
+      frame_time, mesh, mesh->get_subd_creases_edge_socket());
+
+  cached_data.subd_creases_weight.copy_to_socket(
+      frame_time, mesh, mesh->get_subd_creases_weight_socket());
+
+  mesh->set_num_subd_faces(mesh->get_subd_shader().size());
+
+  /* Update attributes. */
+
+  update_attributes(mesh->subd_attributes, cached_data, frame_time);
+
+  if (mesh->is_modified()) {
+    bool need_rebuild = (mesh->triangles_is_modified()) ||
+                        (mesh->subd_num_corners_is_modified()) ||
+                        (mesh->subd_shader_is_modified()) || (mesh->subd_smooth_is_modified()) ||
+                        (mesh->subd_ptex_offset_is_modified()) ||
+                        (mesh->subd_start_corner_is_modified()) ||
+                        (mesh->subd_face_corners_is_modified());
+
+    mesh->tag_update(scene_, need_rebuild);
+  }
+}
+
+void AlembicProcedural::read_curves(AlembicObject *abc_object, Abc::chrono_t frame_time)
+{
+  CachedData &cached_data = abc_object->get_cached_data();
+
+  /* update sockets */
+
+  Object *object = abc_object->get_object();
+  cached_data.transforms.copy_to_socket(frame_time, object, object->get_tfm_socket());
+
+  if (object->is_modified()) {
+    object->tag_update(scene_);
+  }
+
+  /* Only update sockets for the original Geometry. */
+  if (abc_object->instance_of) {
+    return;
+  }
+
+  Hair *hair = static_cast<Hair *>(object->get_geometry());
+
+  /* Make sure shader ids are also updated. */
+  if (hair->used_shaders_is_modified()) {
+    hair->tag_curve_shader_modified();
+  }
+
+  cached_data.curve_keys.copy_to_socket(frame_time, hair, hair->get_curve_keys_socket());
+
+  cached_data.curve_radius.copy_to_socket(frame_time, hair, hair->get_curve_radius_socket());
+
+  cached_data.curve_shader.copy_to_socket(frame_time, hair, hair->get_curve_shader_socket());
+
+  cached_data.curve_first_key.copy_to_socket(frame_time, hair, hair->get_curve_first_key_socket());
+
+  /* update attributes */
+
+  update_attributes(hair->attributes, cached_data, frame_time);
+
+  const bool rebuild = (hair->curve_keys_is_modified() || hair->curve_radius_is_modified());
+  hair->tag_update(scene_, rebuild);
+}
+
+void AlembicProcedural::walk_hierarchy(
+    IObject parent,
+    const ObjectHeader &header,
+    MatrixSamplesData matrix_samples_data,
+    const unordered_map<std::string, AlembicObject *> &object_map,
+    Progress &progress)
+{
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  IObject next_object;
+
+  MatrixSampleMap concatenated_xform_samples;
+
+  if (IXform::matches(header)) {
+    IXform xform(parent, header.getName());
+
+    IXformSchema &xs = xform.getSchema();
+
+    if (xs.getNumOps() > 0) {
+      TimeSamplingPtr ts = xs.getTimeSampling();
+      MatrixSampleMap local_xform_samples;
+
+      MatrixSampleMap *temp_xform_samples = nullptr;
+      if (matrix_samples_data.samples == nullptr) {
+        /* If there is no parent transforms, fill the map directly. */
+        temp_xform_samples = &concatenated_xform_samples;
+      }
+      else {
+        /* use a temporary map */
+        temp_xform_samples = &local_xform_samples;
+      }
+
+      for (size_t i = 0; i < xs.getNumSamples(); ++i) {
+        chrono_t sample_time = ts->getSampleTime(index_t(i));
+        XformSample sample = xs.getValue(ISampleSelector(sample_time));
+        temp_xform_samples->insert({sample_time, sample.getMatrix()});
+      }
+
+      if (matrix_samples_data.samples != nullptr) {
+        concatenate_xform_samples(
+            *matrix_samples_data.samples, local_xform_samples, concatenated_xform_samples);
+      }
+
+      matrix_samples_data.samples = &concatenated_xform_samples;
+      matrix_samples_data.time_sampling = ts;
+    }
+
+    next_object = xform;
+  }
+  else if (ISubD::matches(header)) {
+    ISubD subd(parent, header.getName());
+
+    unordered_map<std::string, AlembicObject *>::const_iterator iter;
+    iter = object_map.find(subd.getFullName());
+
+    if (iter != object_map.end()) {
+      AlembicObject *abc_object = iter->second;
+      abc_object->iobject = subd;
+      abc_object->schema_type = AlembicObject::SUBD;
+
+      if (matrix_samples_data.samples) {
+        abc_object->xform_samples = *matrix_samples_data.samples;
+        abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
+      }
+    }
+
+    next_object = subd;
+  }
+  else if (IPolyMesh::matches(header)) {
+    IPolyMesh mesh(parent, header.getName());
+
+    unordered_map<std::string, AlembicObject *>::const_iterator iter;
+    iter = object_map.find(mesh.getFullName());
+
+    if (iter != object_map.end()) {
+      AlembicObject *abc_object = iter->second;
+      abc_object->iobject = mesh;
+      abc_object->schema_type = AlembicObject::POLY_MESH;
+
+      if (matrix_samples_data.samples) {
+        abc_object->xform_samples = *matrix_samples_data.samples;
+        abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
+      }
+    }
+
+    next_object = mesh;
+  }
+  else if (ICurves::matches(header)) {
+    ICurves curves(parent, header.getName());
+
+    unordered_map<std::string, AlembicObject *>::const_iterator iter;
+    iter = object_map.find(curves.getFullName());
+
+    if (iter != object_map.end()) {
+      AlembicObject *abc_object = iter->second;
+      abc_object->iobject = curves;
+      abc_object->schema_type = AlembicObject::CURVES;
+
+      if (matrix_samples_data.samples) {
+        abc_object->xform_samples = *matrix_samples_data.samples;
+        abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
+      }
+    }
+
+    next_object = curves;
+  }
+  else if (IFaceSet::matches(header)) {
+    // ignore the face set, it will be read along with the data
+  }
+  else if (IPoints::matches(header)) {
+    // unsupported for now
+  }
+  else if (INuPatch::matches(header)) {
+    // unsupported for now
+  }
+  else {
+    next_object = parent.getChild(header.getName());
+
+    if (next_object.isInstanceRoot()) {
+      unordered_map<std::string, AlembicObject *>::const_iterator iter;
+
+      /* Was this object asked to be rendered? */
+      iter = object_map.find(next_object.getFullName());
+
+      if (iter != object_map.end()) {
+        AlembicObject *abc_object = iter->second;
+
+        /* Only try to render an instance if the original object is also rendered. */
+        iter = object_map.find(next_object.instanceSourcePath());
+
+        if (iter != object_map.end()) {
+          abc_object->iobject = next_object;
+          abc_object->instance_of = iter->second;
+
+          if (matrix_samples_data.samples) {
+            abc_object->xform_samples = *matrix_samples_data.samples;
+            abc_object->xform_time_sampling = matrix_samples_data.time_sampling;
+          }
+        }
+      }
+    }
+  }
+
+  if (next_object.valid()) {
+    for (size_t i = 0; i < next_object.getNumChildren(); ++i) {
+      walk_hierarchy(
+          next_object, next_object.getChildHeader(i), matrix_samples_data, object_map, progress);
+    }
+  }
+}
+
+void AlembicProcedural::build_caches(Progress &progress)
+{
+  size_t memory_used = 0;
+
+  for (Node *node : objects) {
+    AlembicObject *object = static_cast<AlembicObject *>(node);
+
+    if (progress.get_cancel()) {
+      return;
+    }
+
+    if (object->schema_type == AlembicObject::POLY_MESH) {
+      if (!object->has_data_loaded()) {
+        IPolyMesh polymesh(object->iobject, Alembic::Abc::kWrapExisting);
+        IPolyMeshSchema schema = polymesh.getSchema();
+        object->load_data_in_cache(object->get_cached_data(), this, schema, progress);
+      }
+      else if (object->need_shader_update) {
+        IPolyMesh polymesh(object->iobject, Alembic::Abc::kWrapExisting);
+        IPolyMeshSchema schema = polymesh.getSchema();
+        read_attributes(this,
+                        object->get_cached_data(),
+                        schema,
+                        schema.getUVsParam(),
+                        object->get_requested_attributes(),
+                        progress);
+      }
+    }
+    else if (object->schema_type == AlembicObject::CURVES) {
+      if (!object->has_data_loaded() || default_radius_is_modified() ||
+          object->radius_scale_is_modified()) {
+        ICurves curves(object->iobject, Alembic::Abc::kWrapExisting);
+        ICurvesSchema schema = curves.getSchema();
+        object->load_data_in_cache(object->get_cached_data(), this, schema, progress);
+      }
+    }
+    else if (object->schema_type == AlembicObject::SUBD) {
+      if (!object->has_data_loaded()) {
+        ISubD subd_mesh(object->iobject, Alembic::Abc::kWrapExisting);
+        ISubDSchema schema = subd_mesh.getSchema();
+        object->load_data_in_cache(object->get_cached_data(), this, schema, progress);
+      }
+      else if (object->need_shader_update) {
+        ISubD subd_mesh(object->iobject, Alembic::Abc::kWrapExisting);
+        ISubDSchema schema = subd_mesh.getSchema();
+        read_attributes(this,
+                        object->get_cached_data(),
+                        schema,
+                        schema.getUVsParam(),
+                        object->get_requested_attributes(),
+                        progress);
+      }
+    }
+
+    if (scale_is_modified() || object->get_cached_data().transforms.size() == 0) {
+      object->setup_transform_cache(object->get_cached_data(), scale);
+    }
+
+    memory_used += object->get_cached_data().memory_used();
+
+    if (use_prefetch) {
+      if (memory_used > get_prefetch_cache_size_in_bytes()) {
+        progress.set_error("Error: Alembic Procedural memory limit reached");
+        return;
+      }
+    }
+  }
+
+  VLOG(1) << "AlembicProcedural memory usage : " << string_human_readable_size(memory_used);
+}
+
+CCL_NAMESPACE_END
+
+#endif
diff --git a/intern/cycles/scene/alembic.h b/intern/cycles/scene/alembic.h
new file mode 100644
index 00000000000..9aeef273910
--- /dev/null
+++ b/intern/cycles/scene/alembic.h
@@ -0,0 +1,568 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "graph/node.h"
+#include "scene/attribute.h"
+#include "scene/procedural.h"
+#include "util/util_set.h"
+#include "util/util_transform.h"
+#include "util/util_vector.h"
+
+#ifdef WITH_ALEMBIC
+
+#  include <Alembic/AbcCoreFactory/All.h>
+#  include <Alembic/AbcGeom/All.h>
+
+CCL_NAMESPACE_BEGIN
+
+class AlembicProcedural;
+class Geometry;
+class Object;
+class Progress;
+class Shader;
+
+using MatrixSampleMap = std::map<Alembic::Abc::chrono_t, Alembic::Abc::M44d>;
+
+struct MatrixSamplesData {
+  MatrixSampleMap *samples = nullptr;
+  Alembic::AbcCoreAbstract::TimeSamplingPtr time_sampling;
+};
+
+/* Helpers to detect if some type is a `ccl::array`. */
+template<typename> struct is_array : public std::false_type {
+};
+
+template<typename T> struct is_array<array<T>> : public std::true_type {
+};
+
+/* Holds the data for a cache lookup at a given time, as well as information to
+ * help disambiguate successes or failures to get data from the cache. */
+template<typename T> class CacheLookupResult {
+  enum class State {
+    NEW_DATA,
+    ALREADY_LOADED,
+    NO_DATA_FOR_TIME,
+  };
+
+  T *data;
+  State state;
+
+ protected:
+  /* Prevent default construction outside of the class: for a valid result, we
+   * should use the static functions below. */
+  CacheLookupResult() = default;
+
+ public:
+  static CacheLookupResult new_data(T *data_)
+  {
+    CacheLookupResult result;
+    result.data = data_;
+    result.state = State::NEW_DATA;
+    return result;
+  }
+
+  static CacheLookupResult no_data_found_for_time()
+  {
+    CacheLookupResult result;
+    result.data = nullptr;
+    result.state = State::NO_DATA_FOR_TIME;
+    return result;
+  }
+
+  static CacheLookupResult already_loaded()
+  {
+    CacheLookupResult result;
+    result.data = nullptr;
+    result.state = State::ALREADY_LOADED;
+    return result;
+  }
+
+  /* This should only be call if new data is available. */
+  const T &get_data() const
+  {
+    assert(state == State::NEW_DATA);
+    assert(data != nullptr);
+    return *data;
+  }
+
+  T *get_data_or_null() const
+  {
+    // data_ should already be null if there is no new data so no need to check
+    return data;
+  }
+
+  bool has_new_data() const
+  {
+    return state == State::NEW_DATA;
+  }
+
+  bool has_already_loaded() const
+  {
+    return state == State::ALREADY_LOADED;
+  }
+
+  bool has_no_data_for_time() const
+  {
+    return state == State::NO_DATA_FOR_TIME;
+  }
+};
+
+/* Store the data set for an animation at every time points, or at the beginning of the animation
+ * for constant data.
+ *
+ * The data is supposed to be stored in chronological order, and is looked up using the current
+ * animation time in seconds using the TimeSampling from the Alembic property. */
+template<typename T> class DataStore {
+  /* Holds information to map a cache entry for a given time to an index into the data array. */
+  struct TimeIndexPair {
+    /* Frame time for this entry. */
+    double time = 0;
+    /* Frame time for the data pointed to by `index`. */
+    double source_time = 0;
+    /* Index into the data array. */
+    size_t index = 0;
+  };
+
+  /* This is the actual data that is stored. We deduplicate data across frames to avoid storing
+   * values if they have not changed yet (e.g. the triangles for a building before fracturing, or a
+   * fluid simulation before a break or splash) */
+  vector<T> data{};
+
+  /* This is used to map they entry for a given time to an index into the data array, multiple
+   * frames can point to the same index. */
+  vector<TimeIndexPair> index_data_map{};
+
+  Alembic::AbcCoreAbstract::TimeSampling time_sampling{};
+
+  double last_loaded_time = std::numeric_limits<double>::max();
+
+ public:
+  /* Keys used to compare values. */
+  Alembic::AbcCoreAbstract::ArraySample::Key key1;
+  Alembic::AbcCoreAbstract::ArraySample::Key key2;
+
+  void set_time_sampling(Alembic::AbcCoreAbstract::TimeSampling time_sampling_)
+  {
+    time_sampling = time_sampling_;
+  }
+
+  Alembic::AbcCoreAbstract::TimeSampling get_time_sampling() const
+  {
+    return time_sampling;
+  }
+
+  /* Get the data for the specified time.
+   * Return nullptr if there is no data or if the data for this time was already loaded. */
+  CacheLookupResult<T> data_for_time(double time)
+  {
+    if (size() == 0) {
+      return CacheLookupResult<T>::no_data_found_for_time();
+    }
+
+    const TimeIndexPair &index = get_index_for_time(time);
+
+    if (index.index == -1ul) {
+      return CacheLookupResult<T>::no_data_found_for_time();
+    }
+
+    if (last_loaded_time == index.time || last_loaded_time == index.source_time) {
+      return CacheLookupResult<T>::already_loaded();
+    }
+
+    last_loaded_time = index.source_time;
+
+    assert(index.index < data.size());
+
+    return CacheLookupResult<T>::new_data(&data[index.index]);
+  }
+
+  /* get the data for the specified time, but do not check if the data was already loaded for this
+   * time return nullptr if there is no data */
+  CacheLookupResult<T> data_for_time_no_check(double time)
+  {
+    if (size() == 0) {
+      return CacheLookupResult<T>::no_data_found_for_time();
+    }
+
+    const TimeIndexPair &index = get_index_for_time(time);
+
+    if (index.index == -1ul) {
+      return CacheLookupResult<T>::no_data_found_for_time();
+    }
+
+    assert(index.index < data.size());
+
+    return CacheLookupResult<T>::new_data(&data[index.index]);
+  }
+
+  void add_data(T &data_, double time)
+  {
+    index_data_map.push_back({time, time, data.size()});
+
+    if constexpr (is_array<T>::value) {
+      data.emplace_back();
+      data.back().steal_data(data_);
+      return;
+    }
+
+    data.push_back(data_);
+  }
+
+  void reuse_data_for_last_time(double time)
+  {
+    const TimeIndexPair &data_index = index_data_map.back();
+    index_data_map.push_back({time, data_index.source_time, data_index.index});
+  }
+
+  void add_no_data(double time)
+  {
+    index_data_map.push_back({time, time, -1ul});
+  }
+
+  bool is_constant() const
+  {
+    return data.size() <= 1;
+  }
+
+  size_t size() const
+  {
+    return data.size();
+  }
+
+  void clear()
+  {
+    invalidate_last_loaded_time();
+    data.clear();
+    index_data_map.clear();
+  }
+
+  void invalidate_last_loaded_time()
+  {
+    last_loaded_time = std::numeric_limits<double>::max();
+  }
+
+  /* Copy the data for the specified time to the node's socket. If there is no
+   * data for this time or it was already loaded, do nothing. */
+  void copy_to_socket(double time, Node *node, const SocketType *socket)
+  {
+    CacheLookupResult<T> result = data_for_time(time);
+
+    if (!result.has_new_data()) {
+      return;
+    }
+
+    /* TODO(kevindietrich): arrays are emptied when passed to the sockets, so for now we copy the
+     * arrays to avoid reloading the data */
+    T value = result.get_data();
+    node->set(*socket, value);
+  }
+
+  size_t memory_used() const
+  {
+    if constexpr (is_array<T>::value) {
+      size_t mem_used = 0;
+
+      for (const T &array : data) {
+        mem_used += array.size() * sizeof(array[0]);
+      }
+
+      return mem_used;
+    }
+
+    return data.size() * sizeof(T);
+  }
+
+ private:
+  const TimeIndexPair &get_index_for_time(double time) const
+  {
+    std::pair<size_t, Alembic::Abc::chrono_t> index_pair;
+    index_pair = time_sampling.getNearIndex(time, index_data_map.size());
+    return index_data_map[index_pair.first];
+  }
+};
+
+/* Actual cache for the stored data.
+ * This caches the topological, transformation, and attribute data for a Mesh node or a Hair node
+ * inside of DataStores.
+ */
+struct CachedData {
+  DataStore<Transform> transforms{};
+
+  /* mesh data */
+  DataStore<array<float3>> vertices;
+  DataStore<array<int3>> triangles{};
+  /* triangle "loops" are the polygons' vertices indices used for indexing face varying attributes
+   * (like UVs) */
+  DataStore<array<int>> uv_loops{};
+  DataStore<array<int>> shader{};
+
+  /* subd data */
+  DataStore<array<int>> subd_start_corner;
+  DataStore<array<int>> subd_num_corners;
+  DataStore<array<bool>> subd_smooth;
+  DataStore<array<int>> subd_ptex_offset;
+  DataStore<array<int>> subd_face_corners;
+  DataStore<int> num_ngons;
+  DataStore<array<int>> subd_creases_edge;
+  DataStore<array<float>> subd_creases_weight;
+
+  /* hair data */
+  DataStore<array<float3>> curve_keys;
+  DataStore<array<float>> curve_radius;
+  DataStore<array<int>> curve_first_key;
+  DataStore<array<int>> curve_shader;
+
+  struct CachedAttribute {
+    AttributeStandard std;
+    AttributeElement element;
+    TypeDesc type_desc;
+    ustring name;
+    DataStore<array<char>> data{};
+  };
+
+  vector<CachedAttribute> attributes{};
+
+  void clear();
+
+  CachedAttribute &add_attribute(const ustring &name,
+                                 const Alembic::Abc::TimeSampling &time_sampling);
+
+  bool is_constant() const;
+
+  void invalidate_last_loaded_time(bool attributes_only = false);
+
+  void set_time_sampling(Alembic::AbcCoreAbstract::TimeSampling time_sampling);
+
+  size_t memory_used() const;
+};
+
+/* Representation of an Alembic object for the AlembicProcedural.
+ *
+ * The AlembicObject holds the path to the Alembic IObject inside of the archive that is desired
+ * for rendering, as well as the list of shaders that it is using.
+ *
+ * The names of the shaders should correspond to the names of the FaceSets inside of the Alembic
+ * archive for per-triangle shader association. If there is no FaceSets, or the names do not
+ * match, the first shader is used for rendering for all triangles.
+ */
+class AlembicObject : public Node {
+ public:
+  NODE_DECLARE
+
+  /* Path to the IObject inside of the archive. */
+  NODE_SOCKET_API(ustring, path)
+
+  /* Shaders used for rendering. */
+  NODE_SOCKET_API_ARRAY(array<Node *>, used_shaders)
+
+  /* Treat this subdivision object as a regular polygon mesh, so no subdivision will be performed.
+   */
+  NODE_SOCKET_API(bool, ignore_subdivision)
+
+  /* Maximum number of subdivisions for ISubD objects. */
+  NODE_SOCKET_API(int, subd_max_level)
+
+  /* Finest level of detail (in pixels) for the subdivision. */
+  NODE_SOCKET_API(float, subd_dicing_rate)
+
+  /* Scale the radius of points and curves. */
+  NODE_SOCKET_API(float, radius_scale)
+
+  AlembicObject();
+  ~AlembicObject();
+
+ private:
+  friend class AlembicProcedural;
+
+  void set_object(Object *object);
+  Object *get_object();
+
+  void load_data_in_cache(CachedData &cached_data,
+                          AlembicProcedural *proc,
+                          Alembic::AbcGeom::IPolyMeshSchema &schema,
+                          Progress &progress);
+  void load_data_in_cache(CachedData &cached_data,
+                          AlembicProcedural *proc,
+                          Alembic::AbcGeom::ISubDSchema &schema,
+                          Progress &progress);
+  void load_data_in_cache(CachedData &cached_data,
+                          AlembicProcedural *proc,
+                          const Alembic::AbcGeom::ICurvesSchema &schema,
+                          Progress &progress);
+
+  bool has_data_loaded() const;
+
+  /* Enumeration used to speed up the discrimination of an IObject as IObject::matches() methods
+   * are too expensive and show up in profiles. */
+  enum AbcSchemaType {
+    INVALID,
+    POLY_MESH,
+    SUBD,
+    CURVES,
+  };
+
+  bool need_shader_update = true;
+
+  AlembicObject *instance_of = nullptr;
+
+  Alembic::AbcCoreAbstract::TimeSamplingPtr xform_time_sampling;
+  MatrixSampleMap xform_samples;
+  Alembic::AbcGeom::IObject iobject;
+
+  /* Set if the path points to a valid IObject whose type is supported. */
+  AbcSchemaType schema_type;
+
+  CachedData &get_cached_data()
+  {
+    return cached_data_;
+  }
+
+  bool is_constant() const
+  {
+    return cached_data_.is_constant();
+  }
+
+  void clear_cache()
+  {
+    cached_data_.clear();
+  }
+
+  Object *object = nullptr;
+
+  bool data_loaded = false;
+
+  CachedData cached_data_;
+
+  void setup_transform_cache(CachedData &cached_data, float scale);
+
+  AttributeRequestSet get_requested_attributes();
+};
+
+/* Procedural to render objects from a single Alembic archive.
+ *
+ * Every object desired to be rendered should be passed as an AlembicObject through the objects
+ * socket.
+ *
+ * This procedural will load the data set for the entire animation in memory on the first frame,
+ * and directly set the data for the new frames on the created Nodes if needed. This allows for
+ * faster updates between frames as it avoids reseeking the data on disk.
+ */
+class AlembicProcedural : public Procedural {
+  Alembic::AbcGeom::IArchive archive;
+  bool objects_loaded;
+  Scene *scene_;
+
+ public:
+  NODE_DECLARE
+
+  /* The file path to the Alembic archive */
+  NODE_SOCKET_API(ustring, filepath)
+
+  /* The current frame to render. */
+  NODE_SOCKET_API(float, frame)
+
+  /* The first frame to load data for. */
+  NODE_SOCKET_API(float, start_frame)
+
+  /* The last frame to load data for. */
+  NODE_SOCKET_API(float, end_frame)
+
+  /* Subtracted to the current frame. */
+  NODE_SOCKET_API(float, frame_offset)
+
+  /* The frame rate used for rendering in units of frames per second. */
+  NODE_SOCKET_API(float, frame_rate)
+
+  /* List of AlembicObjects to render. */
+  NODE_SOCKET_API_ARRAY(array<Node *>, objects)
+
+  /* Set the default radius to use for curves when the Alembic Curves Schemas do not have radius
+   * information. */
+  NODE_SOCKET_API(float, default_radius)
+
+  /* Multiplier to account for differences in default units for measuring objects in various
+   * software. */
+  NODE_SOCKET_API(float, scale)
+
+  /* Cache controls */
+  NODE_SOCKET_API(bool, use_prefetch)
+
+  /* Memory limit for the cache, if the data does not fit within this limit, rendering is aborted.
+   */
+  NODE_SOCKET_API(int, prefetch_cache_size)
+
+  AlembicProcedural();
+  ~AlembicProcedural();
+
+  /* Populates the Cycles scene with Nodes for every contained AlembicObject on the first
+   * invocation, and updates the data on subsequent invocations if the frame changed. */
+  void generate(Scene *scene, Progress &progress);
+
+  /* Tag for an update only if something was modified. */
+  void tag_update(Scene *scene);
+
+  /* This should be called by scene exporters to request the rendering of an object located
+   * in the Alembic archive at the given path.
+   *
+   * Since we lazily load object, the function does not validate the existence of the object
+   * in the archive. If no objects with such path if found in the archive during the next call
+   * to `generate`, it will be ignored.
+   *
+   * Returns a pointer to an existing or a newly created AlembicObject for the given path. */
+  AlembicObject *get_or_create_object(const ustring &path);
+
+ private:
+  /* Add an object to our list of objects, and tag the socket as modified. */
+  void add_object(AlembicObject *object);
+
+  /* Load the data for all the objects whose data has not yet been loaded. */
+  void load_objects(Progress &progress);
+
+  /* Traverse the Alembic hierarchy to lookup the IObjects for the AlembicObjects that were
+   * specified in our objects socket, and accumulate all of the transformations samples along the
+   * way for each IObject. */
+  void walk_hierarchy(Alembic::AbcGeom::IObject parent,
+                      const Alembic::AbcGeom::ObjectHeader &ohead,
+                      MatrixSamplesData matrix_samples_data,
+                      const unordered_map<string, AlembicObject *> &object_map,
+                      Progress &progress);
+
+  /* Read the data for an IPolyMesh at the specified frame_time. Creates corresponding Geometry and
+   * Object Nodes in the Cycles scene if none exist yet. */
+  void read_mesh(AlembicObject *abc_object, Alembic::AbcGeom::Abc::chrono_t frame_time);
+
+  /* Read the data for an ICurves at the specified frame_time. Creates corresponding Geometry and
+   * Object Nodes in the Cycles scene if none exist yet. */
+  void read_curves(AlembicObject *abc_object, Alembic::AbcGeom::Abc::chrono_t frame_time);
+
+  /* Read the data for an ISubD at the specified frame_time. Creates corresponding Geometry and
+   * Object Nodes in the Cycles scene if none exist yet. */
+  void read_subd(AlembicObject *abc_object, Alembic::AbcGeom::Abc::chrono_t frame_time);
+
+  void build_caches(Progress &progress);
+
+  size_t get_prefetch_cache_size_in_bytes() const
+  {
+    /* prefetch_cache_size is in megabytes, so convert to bytes. */
+    return static_cast<size_t>(prefetch_cache_size) * 1024 * 1024;
+  }
+};
+
+CCL_NAMESPACE_END
+
+#endif
diff --git a/intern/cycles/scene/alembic_read.cpp b/intern/cycles/scene/alembic_read.cpp
new file mode 100644
index 00000000000..1ce64d9ee41
--- /dev/null
+++ b/intern/cycles/scene/alembic_read.cpp
@@ -0,0 +1,1037 @@
+/*
+ * Copyright 2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/alembic.h"
+#include "scene/alembic_read.h"
+#include "scene/mesh.h"
+
+#include "util/util_color.h"
+#include "util/util_progress.h"
+
+#ifdef WITH_ALEMBIC
+
+using namespace Alembic::AbcGeom;
+
+CCL_NAMESPACE_BEGIN
+
+static float3 make_float3_from_yup(const V3f &v)
+{
+  return make_float3(v.x, -v.z, v.y);
+}
+
+/* get the sample times to load data for the given the start and end frame of the procedural */
+static set<chrono_t> get_relevant_sample_times(AlembicProcedural *proc,
+                                               const TimeSampling &time_sampling,
+                                               size_t num_samples)
+{
+  set<chrono_t> result;
+
+  if (num_samples < 2) {
+    result.insert(0.0);
+    return result;
+  }
+
+  double start_frame;
+  double end_frame;
+
+  if (proc->get_use_prefetch()) {
+    // load the data for the entire animation
+    start_frame = static_cast<double>(proc->get_start_frame());
+    end_frame = static_cast<double>(proc->get_end_frame());
+  }
+  else {
+    // load the data for the current frame
+    start_frame = static_cast<double>(proc->get_frame());
+    end_frame = start_frame;
+  }
+
+  const double frame_rate = static_cast<double>(proc->get_frame_rate());
+  const double start_time = start_frame / frame_rate;
+  const double end_time = (end_frame + 1) / frame_rate;
+
+  const size_t start_index = time_sampling.getFloorIndex(start_time, num_samples).first;
+  const size_t end_index = time_sampling.getCeilIndex(end_time, num_samples).first;
+
+  for (size_t i = start_index; i < end_index; ++i) {
+    result.insert(time_sampling.getSampleTime(i));
+  }
+
+  return result;
+}
+
+/* Main function to read data, this will iterate over all the relevant sample times for the
+ * duration of the requested animation, and call the DataReadingFunc for each of those sample time.
+ */
+template<typename Params, typename DataReadingFunc>
+static void read_data_loop(AlembicProcedural *proc,
+                           CachedData &cached_data,
+                           const Params &params,
+                           DataReadingFunc &&func,
+                           Progress &progress)
+{
+  const std::set<chrono_t> times = get_relevant_sample_times(
+      proc, *params.time_sampling, params.num_samples);
+
+  cached_data.set_time_sampling(*params.time_sampling);
+
+  for (chrono_t time : times) {
+    if (progress.get_cancel()) {
+      return;
+    }
+
+    func(cached_data, params, time);
+  }
+}
+
+/* Polygon Mesh Geometries. */
+
+/* Compute the vertex normals in case none are present in the IPolyMeshSchema, this is mostly used
+ * to avoid computing them in the GeometryManager in order to speed up data updates. */
+static void compute_vertex_normals(CachedData &cache, double current_time)
+{
+  if (cache.vertices.size() == 0) {
+    return;
+  }
+
+  CachedData::CachedAttribute &attr_normal = cache.add_attribute(
+      ustring("N"), cache.vertices.get_time_sampling());
+  attr_normal.std = ATTR_STD_VERTEX_NORMAL;
+  attr_normal.element = ATTR_ELEMENT_VERTEX;
+  attr_normal.type_desc = TypeNormal;
+
+  const array<float3> *vertices =
+      cache.vertices.data_for_time_no_check(current_time).get_data_or_null();
+  const array<int3> *triangles =
+      cache.triangles.data_for_time_no_check(current_time).get_data_or_null();
+
+  if (!vertices || !triangles) {
+    attr_normal.data.add_no_data(current_time);
+    return;
+  }
+
+  array<char> attr_data(vertices->size() * sizeof(float3));
+  float3 *attr_ptr = reinterpret_cast<float3 *>(attr_data.data());
+  memset(attr_ptr, 0, vertices->size() * sizeof(float3));
+
+  for (size_t t = 0; t < triangles->size(); ++t) {
+    const int3 tri_int3 = triangles->data()[t];
+    Mesh::Triangle tri{};
+    tri.v[0] = tri_int3[0];
+    tri.v[1] = tri_int3[1];
+    tri.v[2] = tri_int3[2];
+
+    const float3 tri_N = tri.compute_normal(vertices->data());
+
+    for (int v = 0; v < 3; ++v) {
+      attr_ptr[tri_int3[v]] += tri_N;
+    }
+  }
+
+  for (size_t v = 0; v < vertices->size(); ++v) {
+    attr_ptr[v] = normalize(attr_ptr[v]);
+  }
+
+  attr_normal.data.add_data(attr_data, current_time);
+}
+
+static void add_normals(const Int32ArraySamplePtr face_indices,
+                        const IN3fGeomParam &normals,
+                        double time,
+                        CachedData &cached_data)
+{
+  switch (normals.getScope()) {
+    case kFacevaryingScope: {
+      const ISampleSelector iss = ISampleSelector(time);
+      const IN3fGeomParam::Sample sample = normals.getExpandedValue(iss);
+
+      if (!sample.valid()) {
+        return;
+      }
+
+      CachedData::CachedAttribute &attr = cached_data.add_attribute(ustring(normals.getName()),
+                                                                    *normals.getTimeSampling());
+      attr.std = ATTR_STD_VERTEX_NORMAL;
+
+      const array<float3> *vertices =
+          cached_data.vertices.data_for_time_no_check(time).get_data_or_null();
+
+      if (!vertices) {
+        return;
+      }
+
+      array<char> data;
+      data.resize(vertices->size() * sizeof(float3));
+
+      float3 *data_float3 = reinterpret_cast<float3 *>(data.data());
+
+      const int *face_indices_array = face_indices->get();
+      const N3fArraySamplePtr values = sample.getVals();
+
+      for (size_t i = 0; i < face_indices->size(); ++i) {
+        int point_index = face_indices_array[i];
+        data_float3[point_index] = make_float3_from_yup(values->get()[i]);
+      }
+
+      attr.data.add_data(data, time);
+      break;
+    }
+    case kVaryingScope:
+    case kVertexScope: {
+      const ISampleSelector iss = ISampleSelector(time);
+      const IN3fGeomParam::Sample sample = normals.getExpandedValue(iss);
+
+      if (!sample.valid()) {
+        return;
+      }
+
+      CachedData::CachedAttribute &attr = cached_data.add_attribute(ustring(normals.getName()),
+                                                                    *normals.getTimeSampling());
+      attr.std = ATTR_STD_VERTEX_NORMAL;
+
+      const array<float3> *vertices =
+          cached_data.vertices.data_for_time_no_check(time).get_data_or_null();
+
+      if (!vertices) {
+        return;
+      }
+
+      array<char> data;
+      data.resize(vertices->size() * sizeof(float3));
+
+      float3 *data_float3 = reinterpret_cast<float3 *>(data.data());
+
+      const Imath::V3f *values = sample.getVals()->get();
+
+      for (size_t i = 0; i < vertices->size(); ++i) {
+        data_float3[i] = make_float3_from_yup(values[i]);
+      }
+
+      attr.data.add_data(data, time);
+
+      break;
+    }
+    default: {
+      break;
+    }
+  }
+}
+
+static void add_positions(const P3fArraySamplePtr positions, double time, CachedData &cached_data)
+{
+  if (!positions) {
+    return;
+  }
+
+  array<float3> vertices;
+  vertices.reserve(positions->size());
+
+  for (size_t i = 0; i < positions->size(); i++) {
+    V3f f = positions->get()[i];
+    vertices.push_back_reserved(make_float3_from_yup(f));
+  }
+
+  cached_data.vertices.add_data(vertices, time);
+}
+
+static void add_triangles(const Int32ArraySamplePtr face_counts,
+                          const Int32ArraySamplePtr face_indices,
+                          double time,
+                          CachedData &cached_data,
+                          const array<int> &polygon_to_shader)
+{
+  if (!face_counts || !face_indices) {
+    return;
+  }
+
+  const size_t num_faces = face_counts->size();
+  const int *face_counts_array = face_counts->get();
+  const int *face_indices_array = face_indices->get();
+
+  size_t num_triangles = 0;
+  for (size_t i = 0; i < face_counts->size(); i++) {
+    num_triangles += face_counts_array[i] - 2;
+  }
+
+  array<int> shader;
+  array<int3> triangles;
+  array<int> uv_loops;
+  shader.reserve(num_triangles);
+  triangles.reserve(num_triangles);
+  uv_loops.reserve(num_triangles * 3);
+  int index_offset = 0;
+
+  for (size_t i = 0; i < num_faces; i++) {
+    int current_shader = 0;
+
+    if (!polygon_to_shader.empty()) {
+      current_shader = polygon_to_shader[i];
+    }
+
+    for (int j = 0; j < face_counts_array[i] - 2; j++) {
+      int v0 = face_indices_array[index_offset];
+      int v1 = face_indices_array[index_offset + j + 1];
+      int v2 = face_indices_array[index_offset + j + 2];
+
+      shader.push_back_reserved(current_shader);
+
+      /* Alembic orders the loops following the RenderMan convention, so need to go in reverse. */
+      triangles.push_back_reserved(make_int3(v2, v1, v0));
+      uv_loops.push_back_reserved(index_offset + j + 2);
+      uv_loops.push_back_reserved(index_offset + j + 1);
+      uv_loops.push_back_reserved(index_offset);
+    }
+
+    index_offset += face_counts_array[i];
+  }
+
+  cached_data.triangles.add_data(triangles, time);
+  cached_data.uv_loops.add_data(uv_loops, time);
+  cached_data.shader.add_data(shader, time);
+}
+
+static array<int> compute_polygon_to_shader_map(
+    const Int32ArraySamplePtr &face_counts,
+    const vector<FaceSetShaderIndexPair> &face_set_shader_index,
+    ISampleSelector sample_sel)
+{
+  if (face_set_shader_index.empty()) {
+    return {};
+  }
+
+  if (!face_counts) {
+    return {};
+  }
+
+  if (face_counts->size() == 0) {
+    return {};
+  }
+
+  array<int> polygon_to_shader(face_counts->size());
+
+  for (const FaceSetShaderIndexPair &pair : face_set_shader_index) {
+    const IFaceSet &face_set = pair.face_set;
+    const IFaceSetSchema face_schem = face_set.getSchema();
+    const IFaceSetSchema::Sample face_sample = face_schem.getValue(sample_sel);
+    const Int32ArraySamplePtr group_faces = face_sample.getFaces();
+    const size_t num_group_faces = group_faces->size();
+
+    for (size_t l = 0; l < num_group_faces; l++) {
+      size_t pos = (*group_faces)[l];
+
+      if (pos >= polygon_to_shader.size()) {
+        continue;
+      }
+
+      polygon_to_shader[pos] = pair.shader_index;
+    }
+  }
+
+  return polygon_to_shader;
+}
+
+static void read_poly_mesh_geometry(CachedData &cached_data,
+                                    const PolyMeshSchemaData &data,
+                                    chrono_t time)
+{
+  const ISampleSelector iss = ISampleSelector(time);
+
+  add_positions(data.positions.getValue(iss), time, cached_data);
+
+  const Int32ArraySamplePtr face_counts = data.face_counts.getValue(iss);
+  const Int32ArraySamplePtr face_indices = data.face_indices.getValue(iss);
+
+  /* Only copy triangles for other frames if the topology is changing over time as well. */
+  if (data.topology_variance != kHomogeneousTopology || cached_data.triangles.size() == 0) {
+    bool do_triangles = true;
+
+    /* Compare key with last one to check whether the topology changed. */
+    if (cached_data.triangles.size() > 0) {
+      const ArraySample::Key key = face_indices->getKey();
+
+      if (key == cached_data.triangles.key1) {
+        do_triangles = false;
+      }
+
+      cached_data.triangles.key1 = key;
+    }
+
+    if (do_triangles) {
+      const array<int> polygon_to_shader = compute_polygon_to_shader_map(
+          face_counts, data.shader_face_sets, iss);
+      add_triangles(face_counts, face_indices, time, cached_data, polygon_to_shader);
+    }
+    else {
+      cached_data.triangles.reuse_data_for_last_time(time);
+      cached_data.uv_loops.reuse_data_for_last_time(time);
+      cached_data.shader.reuse_data_for_last_time(time);
+    }
+
+    /* Initialize the first key. */
+    if (data.topology_variance != kHomogeneousTopology && cached_data.triangles.size() == 1) {
+      cached_data.triangles.key1 = face_indices->getKey();
+    }
+  }
+
+  if (data.normals.valid()) {
+    add_normals(face_indices, data.normals, time, cached_data);
+  }
+  else {
+    compute_vertex_normals(cached_data, time);
+  }
+}
+
+void read_geometry_data(AlembicProcedural *proc,
+                        CachedData &cached_data,
+                        const PolyMeshSchemaData &data,
+                        Progress &progress)
+{
+  read_data_loop(proc, cached_data, data, read_poly_mesh_geometry, progress);
+}
+
+/* Subdivision Geometries */
+
+static void add_subd_polygons(CachedData &cached_data, const SubDSchemaData &data, chrono_t time)
+{
+  const ISampleSelector iss = ISampleSelector(time);
+
+  const Int32ArraySamplePtr face_counts = data.face_counts.getValue(iss);
+  const Int32ArraySamplePtr face_indices = data.face_indices.getValue(iss);
+
+  array<int> subd_start_corner;
+  array<int> shader;
+  array<int> subd_num_corners;
+  array<bool> subd_smooth;
+  array<int> subd_ptex_offset;
+  array<int> subd_face_corners;
+  array<int> uv_loops;
+
+  const size_t num_faces = face_counts->size();
+  const int *face_counts_array = face_counts->get();
+  const int *face_indices_array = face_indices->get();
+
+  int num_ngons = 0;
+  int num_corners = 0;
+  for (size_t i = 0; i < face_counts->size(); i++) {
+    num_ngons += (face_counts_array[i] == 4 ? 0 : 1);
+    num_corners += face_counts_array[i];
+  }
+
+  subd_start_corner.reserve(num_faces);
+  subd_num_corners.reserve(num_faces);
+  subd_smooth.reserve(num_faces);
+  subd_ptex_offset.reserve(num_faces);
+  shader.reserve(num_faces);
+  subd_face_corners.reserve(num_corners);
+  uv_loops.reserve(num_corners);
+
+  int start_corner = 0;
+  int current_shader = 0;
+  int ptex_offset = 0;
+
+  const array<int> polygon_to_shader = compute_polygon_to_shader_map(
+      face_counts, data.shader_face_sets, iss);
+
+  for (size_t i = 0; i < face_counts->size(); i++) {
+    num_corners = face_counts_array[i];
+
+    if (!polygon_to_shader.empty()) {
+      current_shader = polygon_to_shader[i];
+    }
+
+    subd_start_corner.push_back_reserved(start_corner);
+    subd_num_corners.push_back_reserved(num_corners);
+
+    for (int j = 0; j < num_corners; ++j) {
+      subd_face_corners.push_back_reserved(face_indices_array[start_corner + j]);
+      uv_loops.push_back_reserved(start_corner + j);
+    }
+
+    shader.push_back_reserved(current_shader);
+    subd_smooth.push_back_reserved(1);
+    subd_ptex_offset.push_back_reserved(ptex_offset);
+
+    ptex_offset += (num_corners == 4 ? 1 : num_corners);
+
+    start_corner += num_corners;
+  }
+
+  cached_data.shader.add_data(shader, time);
+  cached_data.subd_start_corner.add_data(subd_start_corner, time);
+  cached_data.subd_num_corners.add_data(subd_num_corners, time);
+  cached_data.subd_smooth.add_data(subd_smooth, time);
+  cached_data.subd_ptex_offset.add_data(subd_ptex_offset, time);
+  cached_data.subd_face_corners.add_data(subd_face_corners, time);
+  cached_data.num_ngons.add_data(num_ngons, time);
+  cached_data.uv_loops.add_data(uv_loops, time);
+}
+
+static void add_subd_creases(CachedData &cached_data, const SubDSchemaData &data, chrono_t time)
+{
+  if (!(data.crease_indices.valid() && data.crease_indices.valid() &&
+        data.crease_sharpnesses.valid())) {
+    return;
+  }
+
+  const ISampleSelector iss = ISampleSelector(time);
+
+  const Int32ArraySamplePtr creases_length = data.crease_lengths.getValue(iss);
+  const Int32ArraySamplePtr creases_indices = data.crease_indices.getValue(iss);
+  const FloatArraySamplePtr creases_sharpnesses = data.crease_sharpnesses.getValue(iss);
+
+  if (creases_length && creases_indices && creases_sharpnesses) {
+    array<int> creases_edge;
+    array<float> creases_weight;
+
+    creases_edge.reserve(creases_sharpnesses->size() * 2);
+    creases_weight.reserve(creases_sharpnesses->size());
+
+    int length_offset = 0;
+    int weight_offset = 0;
+    for (size_t c = 0; c < creases_length->size(); ++c) {
+      const int crease_length = creases_length->get()[c];
+
+      for (size_t j = 0; j < crease_length - 1; ++j) {
+        creases_edge.push_back_reserved(creases_indices->get()[length_offset + j]);
+        creases_edge.push_back_reserved(creases_indices->get()[length_offset + j + 1]);
+        creases_weight.push_back_reserved(creases_sharpnesses->get()[weight_offset++]);
+      }
+
+      length_offset += crease_length;
+    }
+
+    cached_data.subd_creases_edge.add_data(creases_edge, time);
+    cached_data.subd_creases_weight.add_data(creases_weight, time);
+  }
+}
+
+static void read_subd_geometry(CachedData &cached_data, const SubDSchemaData &data, chrono_t time)
+{
+  const ISampleSelector iss = ISampleSelector(time);
+
+  add_positions(data.positions.getValue(iss), time, cached_data);
+
+  if (data.topology_variance != kHomogenousTopology || cached_data.shader.size() == 0) {
+    add_subd_polygons(cached_data, data, time);
+    add_subd_creases(cached_data, data, time);
+  }
+}
+
+void read_geometry_data(AlembicProcedural *proc,
+                        CachedData &cached_data,
+                        const SubDSchemaData &data,
+                        Progress &progress)
+{
+  read_data_loop(proc, cached_data, data, read_subd_geometry, progress);
+}
+
+/* Curve Geometries. */
+
+static void read_curves_data(CachedData &cached_data, const CurvesSchemaData &data, chrono_t time)
+{
+  const ISampleSelector iss = ISampleSelector(time);
+
+  const Int32ArraySamplePtr curves_num_vertices = data.num_vertices.getValue(iss);
+  const P3fArraySamplePtr position = data.positions.getValue(iss);
+
+  FloatArraySamplePtr radiuses;
+
+  if (data.widths.valid()) {
+    IFloatGeomParam::Sample wsample = data.widths.getExpandedValue(iss);
+    radiuses = wsample.getVals();
+  }
+
+  const bool do_radius = (radiuses != nullptr) && (radiuses->size() > 1);
+  float radius = (radiuses && radiuses->size() == 1) ? (*radiuses)[0] : data.default_radius;
+
+  array<float3> curve_keys;
+  array<float> curve_radius;
+  array<int> curve_first_key;
+  array<int> curve_shader;
+
+  const bool is_homogenous = data.topology_variance == kHomogenousTopology;
+
+  curve_keys.reserve(position->size());
+  curve_radius.reserve(position->size());
+  curve_first_key.reserve(curves_num_vertices->size());
+  curve_shader.reserve(curves_num_vertices->size());
+
+  int offset = 0;
+  for (size_t i = 0; i < curves_num_vertices->size(); i++) {
+    const int num_vertices = curves_num_vertices->get()[i];
+
+    for (int j = 0; j < num_vertices; j++) {
+      const V3f &f = position->get()[offset + j];
+      // todo(@kevindietrich): we are reading too much data?
+      curve_keys.push_back_slow(make_float3_from_yup(f));
+
+      if (do_radius) {
+        radius = (*radiuses)[offset + j];
+      }
+
+      curve_radius.push_back_slow(radius * data.radius_scale);
+    }
+
+    if (!is_homogenous || cached_data.curve_first_key.size() == 0) {
+      curve_first_key.push_back_reserved(offset);
+      curve_shader.push_back_reserved(0);
+    }
+
+    offset += num_vertices;
+  }
+
+  cached_data.curve_keys.add_data(curve_keys, time);
+  cached_data.curve_radius.add_data(curve_radius, time);
+
+  if (!is_homogenous || cached_data.curve_first_key.size() == 0) {
+    cached_data.curve_first_key.add_data(curve_first_key, time);
+    cached_data.curve_shader.add_data(curve_shader, time);
+  }
+}
+
+void read_geometry_data(AlembicProcedural *proc,
+                        CachedData &cached_data,
+                        const CurvesSchemaData &data,
+                        Progress &progress)
+{
+  read_data_loop(proc, cached_data, data, read_curves_data, progress);
+}
+
+/* Attributes conversions. */
+
+/* Type traits for converting between Alembic and Cycles types.
+ */
+
+template<typename T> struct value_type_converter {
+  using cycles_type = float;
+  /* Use `TypeDesc::FLOAT` instead of `TypeFloat` to work around a compiler bug in gcc 11. */
+  static constexpr TypeDesc type_desc = TypeDesc::FLOAT;
+  static constexpr const char *type_name = "float (default)";
+
+  static cycles_type convert_value(T value)
+  {
+    return static_cast<float>(value);
+  }
+};
+
+template<> struct value_type_converter<Imath::V2f> {
+  using cycles_type = float2;
+  static constexpr TypeDesc type_desc = TypeFloat2;
+  static constexpr const char *type_name = "float2";
+
+  static cycles_type convert_value(Imath::V2f value)
+  {
+    return make_float2(value.x, value.y);
+  }
+};
+
+template<> struct value_type_converter<Imath::V3f> {
+  using cycles_type = float3;
+  static constexpr TypeDesc type_desc = TypeVector;
+  static constexpr const char *type_name = "float3";
+
+  static cycles_type convert_value(Imath::V3f value)
+  {
+    return make_float3_from_yup(value);
+  }
+};
+
+template<> struct value_type_converter<Imath::C3f> {
+  using cycles_type = uchar4;
+  static constexpr TypeDesc type_desc = TypeRGBA;
+  static constexpr const char *type_name = "rgb";
+
+  static cycles_type convert_value(Imath::C3f value)
+  {
+    return color_float_to_byte(make_float3(value.x, value.y, value.z));
+  }
+};
+
+template<> struct value_type_converter<Imath::C4f> {
+  using cycles_type = uchar4;
+  static constexpr TypeDesc type_desc = TypeRGBA;
+  static constexpr const char *type_name = "rgba";
+
+  static cycles_type convert_value(Imath::C4f value)
+  {
+    return color_float4_to_uchar4(make_float4(value.r, value.g, value.b, value.a));
+  }
+};
+
+/* Main function used to read attributes of any type. */
+template<typename TRAIT>
+static void process_attribute(CachedData &cache,
+                              CachedData::CachedAttribute &attribute,
+                              GeometryScope scope,
+                              const typename ITypedGeomParam<TRAIT>::Sample &sample,
+                              double time)
+{
+  using abc_type = typename TRAIT::value_type;
+  using cycles_type = typename value_type_converter<abc_type>::cycles_type;
+
+  const TypedArraySample<TRAIT> &values = *sample.getVals();
+
+  switch (scope) {
+    case kConstantScope:
+    case kVertexScope: {
+      const array<float3> *vertices =
+          cache.vertices.data_for_time_no_check(time).get_data_or_null();
+
+      if (!vertices) {
+        attribute.data.add_no_data(time);
+        return;
+      }
+
+      if (vertices->size() != values.size()) {
+        attribute.data.add_no_data(time);
+        return;
+      }
+
+      array<char> data(vertices->size() * sizeof(cycles_type));
+
+      cycles_type *pod_typed_data = reinterpret_cast<cycles_type *>(data.data());
+
+      for (size_t i = 0; i < values.size(); ++i) {
+        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[i]);
+      }
+
+      attribute.data.add_data(data, time);
+      break;
+    }
+    case kVaryingScope: {
+      const array<int3> *triangles =
+          cache.triangles.data_for_time_no_check(time).get_data_or_null();
+
+      if (!triangles) {
+        attribute.data.add_no_data(time);
+        return;
+      }
+
+      array<char> data(triangles->size() * 3 * sizeof(cycles_type));
+
+      cycles_type *pod_typed_data = reinterpret_cast<cycles_type *>(data.data());
+
+      for (const int3 &tri : *triangles) {
+        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[tri.x]);
+        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[tri.y]);
+        *pod_typed_data++ = value_type_converter<abc_type>::convert_value(values[tri.z]);
+      }
+
+      attribute.data.add_data(data, time);
+      break;
+    }
+    default: {
+      break;
+    }
+  }
+}
+
+/* UVs are processed separately as their indexing is based on loops, instead of vertices or
+ * corners. */
+static void process_uvs(CachedData &cache,
+                        CachedData::CachedAttribute &attribute,
+                        GeometryScope scope,
+                        const IV2fGeomParam::Sample &sample,
+                        double time)
+{
+  if (scope != kFacevaryingScope && scope != kVaryingScope && scope != kVertexScope) {
+    return;
+  }
+
+  const array<int> *uv_loops = cache.uv_loops.data_for_time_no_check(time).get_data_or_null();
+
+  /* It's ok to not have loop indices, as long as the scope is not face-varying. */
+  if (!uv_loops && scope == kFacevaryingScope) {
+    return;
+  }
+
+  const array<int3> *triangles = cache.triangles.data_for_time_no_check(time).get_data_or_null();
+  const array<int> *corners =
+      cache.subd_face_corners.data_for_time_no_check(time).get_data_or_null();
+
+  array<char> data;
+  if (triangles) {
+    data.resize(triangles->size() * 3 * sizeof(float2));
+  }
+  else if (corners) {
+    data.resize(corners->size() * sizeof(float2));
+  }
+  else {
+    return;
+  }
+
+  float2 *data_float2 = reinterpret_cast<float2 *>(data.data());
+
+  const uint32_t *indices = sample.getIndices()->get();
+  const V2f *values = sample.getVals()->get();
+
+  if (scope == kFacevaryingScope) {
+    for (const int uv_loop_index : *uv_loops) {
+      const uint32_t index = indices[uv_loop_index];
+      *data_float2++ = make_float2(values[index][0], values[index][1]);
+    }
+  }
+  else if (scope == kVaryingScope || scope == kVertexScope) {
+    if (triangles) {
+      for (size_t i = 0; i < triangles->size(); i++) {
+        const int3 t = (*triangles)[i];
+        *data_float2++ = make_float2(values[t.x][0], values[t.x][1]);
+        *data_float2++ = make_float2(values[t.y][0], values[t.y][1]);
+        *data_float2++ = make_float2(values[t.z][0], values[t.z][1]);
+      }
+    }
+    else if (corners) {
+      for (size_t i = 0; i < corners->size(); i++) {
+        const int c = (*corners)[i];
+        *data_float2++ = make_float2(values[c][0], values[c][1]);
+      }
+    }
+  }
+
+  attribute.data.add_data(data, time);
+}
+
+/* Type of the function used to parse one time worth of data, either process_uvs or
+ * process_attribute_generic. */
+template<typename TRAIT>
+using process_callback_type = void (*)(CachedData &,
+                                       CachedData::CachedAttribute &,
+                                       GeometryScope,
+                                       const typename ITypedGeomParam<TRAIT>::Sample &,
+                                       double);
+
+/* Main loop to process the attributes, this will look at the given param's TimeSampling and
+ * extract data based on which frame time is requested by the procedural and execute the callback
+ * for each of those requested time. */
+template<typename TRAIT>
+static void read_attribute_loop(AlembicProcedural *proc,
+                                CachedData &cache,
+                                const ITypedGeomParam<TRAIT> &param,
+                                process_callback_type<TRAIT> callback,
+                                Progress &progress,
+                                AttributeStandard std = ATTR_STD_NONE)
+{
+  const std::set<chrono_t> times = get_relevant_sample_times(
+      proc, *param.getTimeSampling(), param.getNumSamples());
+
+  if (times.empty()) {
+    return;
+  }
+
+  std::string name = param.getName();
+
+  if (std == ATTR_STD_UV) {
+    std::string uv_source_name = Alembic::Abc::GetSourceName(param.getMetaData());
+
+    /* According to the convention, primary UVs should have had their name
+     * set using Alembic::Abc::SetSourceName, but you can't expect everyone
+     * to follow it! :) */
+    if (!uv_source_name.empty()) {
+      name = uv_source_name;
+    }
+  }
+
+  CachedData::CachedAttribute &attribute = cache.add_attribute(ustring(name),
+                                                               *param.getTimeSampling());
+
+  using abc_type = typename TRAIT::value_type;
+
+  attribute.data.set_time_sampling(*param.getTimeSampling());
+  attribute.std = std;
+  attribute.type_desc = value_type_converter<abc_type>::type_desc;
+
+  if (attribute.type_desc == TypeRGBA) {
+    attribute.element = ATTR_ELEMENT_CORNER_BYTE;
+  }
+  else {
+    if (param.getScope() == kVaryingScope || param.getScope() == kFacevaryingScope) {
+      attribute.element = ATTR_ELEMENT_CORNER;
+    }
+    else {
+      attribute.element = ATTR_ELEMENT_VERTEX;
+    }
+  }
+
+  for (const chrono_t time : times) {
+    if (progress.get_cancel()) {
+      return;
+    }
+
+    ISampleSelector iss = ISampleSelector(time);
+    typename ITypedGeomParam<TRAIT>::Sample sample;
+    param.getIndexed(sample, iss);
+
+    if (!sample.valid()) {
+      continue;
+    }
+
+    if (!sample.getVals()) {
+      attribute.data.add_no_data(time);
+      continue;
+    }
+
+    /* Check whether we already loaded constant data. */
+    if (attribute.data.size() != 0) {
+      if (param.isConstant()) {
+        return;
+      }
+
+      const ArraySample::Key indices_key = sample.getIndices()->getKey();
+      const ArraySample::Key values_key = sample.getVals()->getKey();
+
+      const bool is_same_as_last_time = (indices_key == attribute.data.key1 &&
+                                         values_key == attribute.data.key2);
+
+      attribute.data.key1 = indices_key;
+      attribute.data.key2 = values_key;
+
+      if (is_same_as_last_time) {
+        attribute.data.reuse_data_for_last_time(time);
+        continue;
+      }
+    }
+
+    callback(cache, attribute, param.getScope(), sample, time);
+  }
+}
+
+/* Attributes requests. */
+
+/* This structure is used to tell which ICoumpoundProperty the PropertyHeader comes from, as we
+ * need the parent when downcasting to the proper type. */
+struct PropHeaderAndParent {
+  const PropertyHeader *prop;
+  ICompoundProperty parent;
+};
+
+/* Parse the ICompoundProperty to look for properties whose names appear in the
+ * AttributeRequestSet. This also looks into any child ICompoundProperty of the given
+ * ICompoundProperty. If no property of the given name is found, let it be that way, Cycles will
+ * use a zero value for the missing attribute. */
+static void parse_requested_attributes_recursive(const AttributeRequestSet &requested_attributes,
+                                                 const ICompoundProperty &arb_geom_params,
+                                                 vector<PropHeaderAndParent> &requested_properties)
+{
+  if (!arb_geom_params.valid()) {
+    return;
+  }
+
+  for (const AttributeRequest &req : requested_attributes.requests) {
+    const PropertyHeader *property_header = arb_geom_params.getPropertyHeader(req.name.c_str());
+
+    if (!property_header) {
+      continue;
+    }
+
+    requested_properties.push_back({property_header, arb_geom_params});
+  }
+
+  /* Look into children compound properties. */
+  for (size_t i = 0; i < arb_geom_params.getNumProperties(); ++i) {
+    const PropertyHeader &property_header = arb_geom_params.getPropertyHeader(i);
+
+    if (property_header.isCompound()) {
+      ICompoundProperty compound_property = ICompoundProperty(arb_geom_params,
+                                                              property_header.getName());
+      parse_requested_attributes_recursive(
+          requested_attributes, compound_property, requested_properties);
+    }
+  }
+}
+
+/* Main entry point for parsing requested attributes from an ICompoundProperty, this exists so that
+ * we can simply return the list of properties instead of allocating it on the stack and passing it
+ * as a parameter. */
+static vector<PropHeaderAndParent> parse_requested_attributes(
+    const AttributeRequestSet &requested_attributes, const ICompoundProperty &arb_geom_params)
+{
+  vector<PropHeaderAndParent> requested_properties;
+  parse_requested_attributes_recursive(
+      requested_attributes, arb_geom_params, requested_properties);
+  return requested_properties;
+}
+
+/* Read the attributes requested by the shaders from the archive. This will recursively find named
+ * attributes from the AttributeRequestSet in the ICompoundProperty and any of its compound child.
+ * The attributes are added to the CachedData's attribute list. For each attribute we will try to
+ * deduplicate data across consecutive frames. */
+void read_attributes(AlembicProcedural *proc,
+                     CachedData &cache,
+                     const ICompoundProperty &arb_geom_params,
+                     const IV2fGeomParam &default_uvs_param,
+                     const AttributeRequestSet &requested_attributes,
+                     Progress &progress)
+{
+  if (default_uvs_param.valid()) {
+    /* Only the default UVs should be treated as the standard UV attribute. */
+    read_attribute_loop(proc, cache, default_uvs_param, process_uvs, progress, ATTR_STD_UV);
+  }
+
+  vector<PropHeaderAndParent> requested_properties = parse_requested_attributes(
+      requested_attributes, arb_geom_params);
+
+  for (const PropHeaderAndParent &prop_and_parent : requested_properties) {
+    if (progress.get_cancel()) {
+      return;
+    }
+
+    const PropertyHeader *prop = prop_and_parent.prop;
+    const ICompoundProperty &parent = prop_and_parent.parent;
+
+    if (IBoolGeomParam::matches(*prop)) {
+      const IBoolGeomParam &param = IBoolGeomParam(parent, prop->getName());
+      read_attribute_loop(proc, cache, param, process_attribute<BooleanTPTraits>, progress);
+    }
+    else if (IInt32GeomParam::matches(*prop)) {
+      const IInt32GeomParam &param = IInt32GeomParam(parent, prop->getName());
+      read_attribute_loop(proc, cache, param, process_attribute<Int32TPTraits>, progress);
+    }
+    else if (IFloatGeomParam::matches(*prop)) {
+      const IFloatGeomParam &param = IFloatGeomParam(parent, prop->getName());
+      read_attribute_loop(proc, cache, param, process_attribute<Float32TPTraits>, progress);
+    }
+    else if (IV2fGeomParam::matches(*prop)) {
+      const IV2fGeomParam &param = IV2fGeomParam(parent, prop->getName());
+      if (Alembic::AbcGeom::isUV(*prop)) {
+        read_attribute_loop(proc, cache, param, process_uvs, progress);
+      }
+      else {
+        read_attribute_loop(proc, cache, param, process_attribute<V2fTPTraits>, progress);
+      }
+    }
+    else if (IV3fGeomParam::matches(*prop)) {
+      const IV3fGeomParam &param = IV3fGeomParam(parent, prop->getName());
+      read_attribute_loop(proc, cache, param, process_attribute<V3fTPTraits>, progress);
+    }
+    else if (IN3fGeomParam::matches(*prop)) {
+      const IN3fGeomParam &param = IN3fGeomParam(parent, prop->getName());
+      read_attribute_loop(proc, cache, param, process_attribute<N3fTPTraits>, progress);
+    }
+    else if (IC3fGeomParam::matches(*prop)) {
+      const IC3fGeomParam &param = IC3fGeomParam(parent, prop->getName());
+      read_attribute_loop(proc, cache, param, process_attribute<C3fTPTraits>, progress);
+    }
+    else if (IC4fGeomParam::matches(*prop)) {
+      const IC4fGeomParam &param = IC4fGeomParam(parent, prop->getName());
+      read_attribute_loop(proc, cache, param, process_attribute<C4fTPTraits>, progress);
+    }
+  }
+
+  cache.invalidate_last_loaded_time(true);
+}
+
+CCL_NAMESPACE_END
+
+#endif
diff --git a/intern/cycles/scene/alembic_read.h b/intern/cycles/scene/alembic_read.h
new file mode 100644
index 00000000000..9cc8622a1ba
--- /dev/null
+++ b/intern/cycles/scene/alembic_read.h
@@ -0,0 +1,134 @@
+/*
+ * Copyright 2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#ifdef WITH_ALEMBIC
+
+#  include <Alembic/AbcCoreFactory/All.h>
+#  include <Alembic/AbcGeom/All.h>
+
+#  include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class AlembicProcedural;
+class AttributeRequestSet;
+class Progress;
+struct CachedData;
+
+/* Maps a FaceSet whose name matches that of a Shader to the index of said shader in the Geometry's
+ * used_shaders list. */
+struct FaceSetShaderIndexPair {
+  Alembic::AbcGeom::IFaceSet face_set;
+  int shader_index;
+};
+
+/* Data of an IPolyMeshSchema that we need to read. */
+struct PolyMeshSchemaData {
+  Alembic::AbcGeom::TimeSamplingPtr time_sampling;
+  size_t num_samples;
+  Alembic::AbcGeom::MeshTopologyVariance topology_variance;
+
+  Alembic::AbcGeom::IP3fArrayProperty positions;
+  Alembic::AbcGeom::IInt32ArrayProperty face_indices;
+  Alembic::AbcGeom::IInt32ArrayProperty face_counts;
+
+  Alembic::AbcGeom::IN3fGeomParam normals;
+
+  vector<FaceSetShaderIndexPair> shader_face_sets;
+
+  // Unsupported for now.
+  Alembic::AbcGeom::IV3fArrayProperty velocities;
+};
+
+void read_geometry_data(AlembicProcedural *proc,
+                        CachedData &cached_data,
+                        const PolyMeshSchemaData &data,
+                        Progress &progress);
+
+/* Data of an ISubDSchema that we need to read. */
+struct SubDSchemaData {
+  Alembic::AbcGeom::TimeSamplingPtr time_sampling;
+  size_t num_samples;
+  Alembic::AbcGeom::MeshTopologyVariance topology_variance;
+
+  Alembic::AbcGeom::IInt32ArrayProperty face_counts;
+  Alembic::AbcGeom::IInt32ArrayProperty face_indices;
+  Alembic::AbcGeom::IP3fArrayProperty positions;
+
+  Alembic::AbcGeom::IInt32ArrayProperty crease_indices;
+  Alembic::AbcGeom::IInt32ArrayProperty crease_lengths;
+  Alembic::AbcGeom::IFloatArrayProperty crease_sharpnesses;
+
+  vector<FaceSetShaderIndexPair> shader_face_sets;
+
+  // Those are unsupported for now.
+  Alembic::AbcGeom::IInt32ArrayProperty corner_indices;
+  Alembic::AbcGeom::IFloatArrayProperty corner_sharpnesses;
+  Alembic::AbcGeom::IInt32Property face_varying_interpolate_boundary;
+  Alembic::AbcGeom::IInt32Property face_varying_propagate_corners;
+  Alembic::AbcGeom::IInt32Property interpolate_boundary;
+  Alembic::AbcGeom::IInt32ArrayProperty holes;
+  Alembic::AbcGeom::IStringProperty subdivision_scheme;
+  Alembic::AbcGeom::IV3fArrayProperty velocities;
+};
+
+void read_geometry_data(AlembicProcedural *proc,
+                        CachedData &cached_data,
+                        const SubDSchemaData &data,
+                        Progress &progress);
+
+/* Data of a ICurvesSchema that we need to read. */
+struct CurvesSchemaData {
+  Alembic::AbcGeom::TimeSamplingPtr time_sampling;
+  size_t num_samples;
+  Alembic::AbcGeom::MeshTopologyVariance topology_variance;
+
+  Alembic::AbcGeom::IP3fArrayProperty positions;
+
+  Alembic::AbcGeom::IInt32ArrayProperty num_vertices;
+
+  float default_radius;
+  float radius_scale;
+
+  // Those are unsupported for now.
+  Alembic::AbcGeom::IV3fArrayProperty velocities;
+  // if this property is invalid then the weight for every point is 1
+  Alembic::AbcGeom::IFloatArrayProperty position_weights;
+  Alembic::AbcGeom::IN3fGeomParam normals;
+  Alembic::AbcGeom::IFloatGeomParam widths;
+  Alembic::AbcGeom::IUcharArrayProperty orders;
+  Alembic::AbcGeom::IFloatArrayProperty knots;
+
+  // TODO(@kevindietrich): type, basis, wrap
+};
+
+void read_geometry_data(AlembicProcedural *proc,
+                        CachedData &cached_data,
+                        const CurvesSchemaData &data,
+                        Progress &progress);
+
+void read_attributes(AlembicProcedural *proc,
+                     CachedData &cache,
+                     const Alembic::AbcGeom::ICompoundProperty &arb_geom_params,
+                     const Alembic::AbcGeom::IV2fGeomParam &default_uvs_param,
+                     const AttributeRequestSet &requested_attributes,
+                     Progress &progress);
+
+CCL_NAMESPACE_END
+
+#endif
diff --git a/intern/cycles/scene/attribute.cpp b/intern/cycles/scene/attribute.cpp
new file mode 100644
index 00000000000..0c440fb9fd1
--- /dev/null
+++ b/intern/cycles/scene/attribute.cpp
@@ -0,0 +1,896 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/attribute.h"
+#include "scene/hair.h"
+#include "scene/image.h"
+#include "scene/mesh.h"
+
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_transform.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Attribute */
+
+Attribute::Attribute(
+    ustring name, TypeDesc type, AttributeElement element, Geometry *geom, AttributePrimitive prim)
+    : name(name), std(ATTR_STD_NONE), type(type), element(element), flags(0), modified(true)
+{
+  /* string and matrix not supported! */
+  assert(type == TypeDesc::TypeFloat || type == TypeDesc::TypeColor ||
+         type == TypeDesc::TypePoint || type == TypeDesc::TypeVector ||
+         type == TypeDesc::TypeNormal || type == TypeDesc::TypeMatrix || type == TypeFloat2 ||
+         type == TypeFloat4 || type == TypeRGBA);
+
+  if (element == ATTR_ELEMENT_VOXEL) {
+    buffer.resize(sizeof(ImageHandle));
+    new (buffer.data()) ImageHandle();
+  }
+  else {
+    resize(geom, prim, false);
+  }
+}
+
+Attribute::~Attribute()
+{
+  /* For voxel data, we need to free the image handle. */
+  if (element == ATTR_ELEMENT_VOXEL && buffer.size()) {
+    ImageHandle &handle = data_voxel();
+    handle.~ImageHandle();
+  }
+}
+
+void Attribute::resize(Geometry *geom, AttributePrimitive prim, bool reserve_only)
+{
+  if (element != ATTR_ELEMENT_VOXEL) {
+    if (reserve_only) {
+      buffer.reserve(buffer_size(geom, prim));
+    }
+    else {
+      buffer.resize(buffer_size(geom, prim), 0);
+    }
+  }
+}
+
+void Attribute::resize(size_t num_elements)
+{
+  if (element != ATTR_ELEMENT_VOXEL) {
+    buffer.resize(num_elements * data_sizeof(), 0);
+  }
+}
+
+void Attribute::add(const float &f)
+{
+  assert(data_sizeof() == sizeof(float));
+
+  char *data = (char *)&f;
+  size_t size = sizeof(f);
+
+  for (size_t i = 0; i < size; i++)
+    buffer.push_back(data[i]);
+
+  modified = true;
+}
+
+void Attribute::add(const uchar4 &f)
+{
+  assert(data_sizeof() == sizeof(uchar4));
+
+  char *data = (char *)&f;
+  size_t size = sizeof(f);
+
+  for (size_t i = 0; i < size; i++)
+    buffer.push_back(data[i]);
+
+  modified = true;
+}
+
+void Attribute::add(const float2 &f)
+{
+  assert(data_sizeof() == sizeof(float2));
+
+  char *data = (char *)&f;
+  size_t size = sizeof(f);
+
+  for (size_t i = 0; i < size; i++)
+    buffer.push_back(data[i]);
+
+  modified = true;
+}
+
+void Attribute::add(const float3 &f)
+{
+  assert(data_sizeof() == sizeof(float3));
+
+  char *data = (char *)&f;
+  size_t size = sizeof(f);
+
+  for (size_t i = 0; i < size; i++)
+    buffer.push_back(data[i]);
+
+  modified = true;
+}
+
+void Attribute::add(const Transform &f)
+{
+  assert(data_sizeof() == sizeof(Transform));
+
+  char *data = (char *)&f;
+  size_t size = sizeof(f);
+
+  for (size_t i = 0; i < size; i++)
+    buffer.push_back(data[i]);
+
+  modified = true;
+}
+
+void Attribute::add(const char *data)
+{
+  size_t size = data_sizeof();
+
+  for (size_t i = 0; i < size; i++)
+    buffer.push_back(data[i]);
+
+  modified = true;
+}
+
+void Attribute::set_data_from(Attribute &&other)
+{
+  assert(other.std == std);
+  assert(other.type == type);
+  assert(other.element == element);
+
+  this->flags = other.flags;
+
+  if (this->buffer.size() != other.buffer.size()) {
+    this->buffer = std::move(other.buffer);
+    modified = true;
+  }
+  else if (memcmp(this->data(), other.data(), other.buffer.size()) != 0) {
+    this->buffer = std::move(other.buffer);
+    modified = true;
+  }
+}
+
+size_t Attribute::data_sizeof() const
+{
+  if (element == ATTR_ELEMENT_VOXEL)
+    return sizeof(ImageHandle);
+  else if (element == ATTR_ELEMENT_CORNER_BYTE)
+    return sizeof(uchar4);
+  else if (type == TypeDesc::TypeFloat)
+    return sizeof(float);
+  else if (type == TypeFloat2)
+    return sizeof(float2);
+  else if (type == TypeDesc::TypeMatrix)
+    return sizeof(Transform);
+  else
+    return sizeof(float3);
+}
+
+size_t Attribute::element_size(Geometry *geom, AttributePrimitive prim) const
+{
+  if (flags & ATTR_FINAL_SIZE) {
+    return buffer.size() / data_sizeof();
+  }
+
+  size_t size = 0;
+
+  switch (element) {
+    case ATTR_ELEMENT_OBJECT:
+    case ATTR_ELEMENT_MESH:
+    case ATTR_ELEMENT_VOXEL:
+      size = 1;
+      break;
+    case ATTR_ELEMENT_VERTEX:
+      if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+        size = mesh->get_verts().size() + mesh->get_num_ngons();
+        if (prim == ATTR_PRIM_SUBD) {
+          size -= mesh->get_num_subd_verts();
+        }
+      }
+      break;
+    case ATTR_ELEMENT_VERTEX_MOTION:
+      if (geom->geometry_type == Geometry::MESH) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+        DCHECK_GT(mesh->get_motion_steps(), 0);
+        size = (mesh->get_verts().size() + mesh->get_num_ngons()) * (mesh->get_motion_steps() - 1);
+        if (prim == ATTR_PRIM_SUBD) {
+          size -= mesh->get_num_subd_verts() * (mesh->get_motion_steps() - 1);
+        }
+      }
+      break;
+    case ATTR_ELEMENT_FACE:
+      if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+        if (prim == ATTR_PRIM_GEOMETRY) {
+          size = mesh->num_triangles();
+        }
+        else {
+          size = mesh->get_num_subd_faces() + mesh->get_num_ngons();
+        }
+      }
+      break;
+    case ATTR_ELEMENT_CORNER:
+    case ATTR_ELEMENT_CORNER_BYTE:
+      if (geom->geometry_type == Geometry::MESH) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+        if (prim == ATTR_PRIM_GEOMETRY) {
+          size = mesh->num_triangles() * 3;
+        }
+        else {
+          size = mesh->get_subd_face_corners().size() + mesh->get_num_ngons();
+        }
+      }
+      break;
+    case ATTR_ELEMENT_CURVE:
+      if (geom->geometry_type == Geometry::HAIR) {
+        Hair *hair = static_cast<Hair *>(geom);
+        size = hair->num_curves();
+      }
+      break;
+    case ATTR_ELEMENT_CURVE_KEY:
+      if (geom->geometry_type == Geometry::HAIR) {
+        Hair *hair = static_cast<Hair *>(geom);
+        size = hair->get_curve_keys().size();
+      }
+      break;
+    case ATTR_ELEMENT_CURVE_KEY_MOTION:
+      if (geom->geometry_type == Geometry::HAIR) {
+        Hair *hair = static_cast<Hair *>(geom);
+        DCHECK_GT(hair->get_motion_steps(), 0);
+        size = hair->get_curve_keys().size() * (hair->get_motion_steps() - 1);
+      }
+      break;
+    default:
+      break;
+  }
+
+  return size;
+}
+
+size_t Attribute::buffer_size(Geometry *geom, AttributePrimitive prim) const
+{
+  return element_size(geom, prim) * data_sizeof();
+}
+
+bool Attribute::same_storage(TypeDesc a, TypeDesc b)
+{
+  if (a == b)
+    return true;
+
+  if (a == TypeDesc::TypeColor || a == TypeDesc::TypePoint || a == TypeDesc::TypeVector ||
+      a == TypeDesc::TypeNormal) {
+    if (b == TypeDesc::TypeColor || b == TypeDesc::TypePoint || b == TypeDesc::TypeVector ||
+        b == TypeDesc::TypeNormal) {
+      return true;
+    }
+  }
+  return false;
+}
+
+void Attribute::zero_data(void *dst)
+{
+  memset(dst, 0, data_sizeof());
+}
+
+void Attribute::add_with_weight(void *dst, void *src, float weight)
+{
+  if (element == ATTR_ELEMENT_CORNER_BYTE) {
+    for (int i = 0; i < 4; i++) {
+      ((uchar *)dst)[i] += uchar(((uchar *)src)[i] * weight);
+    }
+  }
+  else if (same_storage(type, TypeDesc::TypeFloat)) {
+    *((float *)dst) += *((float *)src) * weight;
+  }
+  else if (same_storage(type, TypeFloat2)) {
+    *((float2 *)dst) += *((float2 *)src) * weight;
+  }
+  else if (same_storage(type, TypeDesc::TypeVector)) {
+    *((float4 *)dst) += *((float4 *)src) * weight;
+  }
+  else {
+    assert(!"not implemented for this type");
+  }
+}
+
+const char *Attribute::standard_name(AttributeStandard std)
+{
+  switch (std) {
+    case ATTR_STD_VERTEX_NORMAL:
+      return "N";
+    case ATTR_STD_FACE_NORMAL:
+      return "Ng";
+    case ATTR_STD_UV:
+      return "uv";
+    case ATTR_STD_GENERATED:
+      return "generated";
+    case ATTR_STD_GENERATED_TRANSFORM:
+      return "generated_transform";
+    case ATTR_STD_UV_TANGENT:
+      return "tangent";
+    case ATTR_STD_UV_TANGENT_SIGN:
+      return "tangent_sign";
+    case ATTR_STD_VERTEX_COLOR:
+      return "vertex_color";
+    case ATTR_STD_POSITION_UNDEFORMED:
+      return "undeformed";
+    case ATTR_STD_POSITION_UNDISPLACED:
+      return "undisplaced";
+    case ATTR_STD_MOTION_VERTEX_POSITION:
+      return "motion_P";
+    case ATTR_STD_MOTION_VERTEX_NORMAL:
+      return "motion_N";
+    case ATTR_STD_PARTICLE:
+      return "particle";
+    case ATTR_STD_CURVE_INTERCEPT:
+      return "curve_intercept";
+    case ATTR_STD_CURVE_LENGTH:
+      return "curve_length";
+    case ATTR_STD_CURVE_RANDOM:
+      return "curve_random";
+    case ATTR_STD_PTEX_FACE_ID:
+      return "ptex_face_id";
+    case ATTR_STD_PTEX_UV:
+      return "ptex_uv";
+    case ATTR_STD_VOLUME_DENSITY:
+      return "density";
+    case ATTR_STD_VOLUME_COLOR:
+      return "color";
+    case ATTR_STD_VOLUME_FLAME:
+      return "flame";
+    case ATTR_STD_VOLUME_HEAT:
+      return "heat";
+    case ATTR_STD_VOLUME_TEMPERATURE:
+      return "temperature";
+    case ATTR_STD_VOLUME_VELOCITY:
+      return "velocity";
+    case ATTR_STD_POINTINESS:
+      return "pointiness";
+    case ATTR_STD_RANDOM_PER_ISLAND:
+      return "random_per_island";
+    case ATTR_STD_SHADOW_TRANSPARENCY:
+      return "shadow_transparency";
+    case ATTR_STD_NOT_FOUND:
+    case ATTR_STD_NONE:
+    case ATTR_STD_NUM:
+      return "";
+  }
+
+  return "";
+}
+
+AttributeStandard Attribute::name_standard(const char *name)
+{
+  if (name) {
+    for (int std = ATTR_STD_NONE; std < ATTR_STD_NUM; std++) {
+      if (strcmp(name, Attribute::standard_name((AttributeStandard)std)) == 0) {
+        return (AttributeStandard)std;
+      }
+    }
+  }
+
+  return ATTR_STD_NONE;
+}
+
+AttrKernelDataType Attribute::kernel_type(const Attribute &attr)
+{
+  if (attr.element == ATTR_ELEMENT_CORNER) {
+    return AttrKernelDataType::UCHAR4;
+  }
+
+  if (attr.type == TypeDesc::TypeFloat) {
+    return AttrKernelDataType::FLOAT;
+  }
+
+  if (attr.type == TypeFloat2) {
+    return AttrKernelDataType::FLOAT2;
+  }
+
+  return AttrKernelDataType::FLOAT3;
+}
+
+void Attribute::get_uv_tiles(Geometry *geom,
+                             AttributePrimitive prim,
+                             unordered_set<int> &tiles) const
+{
+  if (type != TypeFloat2) {
+    return;
+  }
+
+  const int num = element_size(geom, prim);
+  const float2 *uv = data_float2();
+  for (int i = 0; i < num; i++, uv++) {
+    float u = uv->x, v = uv->y;
+    int x = (int)u, y = (int)v;
+
+    if (x < 0 || y < 0 || x >= 10) {
+      continue;
+    }
+
+    /* Be conservative in corners - precisely touching the right or upper edge of a tile
+     * should not load its right/upper neighbor as well. */
+    if (x > 0 && (u < x + 1e-6f)) {
+      x--;
+    }
+    if (y > 0 && (v < y + 1e-6f)) {
+      y--;
+    }
+
+    tiles.insert(1001 + 10 * y + x);
+  }
+}
+
+/* Attribute Set */
+
+AttributeSet::AttributeSet(Geometry *geometry, AttributePrimitive prim)
+    : modified_flag(~0u), geometry(geometry), prim(prim)
+{
+}
+
+AttributeSet::~AttributeSet()
+{
+}
+
+Attribute *AttributeSet::add(ustring name, TypeDesc type, AttributeElement element)
+{
+  Attribute *attr = find(name);
+
+  if (attr) {
+    /* return if same already exists */
+    if (attr->type == type && attr->element == element)
+      return attr;
+
+    /* overwrite attribute with same name but different type/element */
+    remove(name);
+  }
+
+  Attribute new_attr(name, type, element, geometry, prim);
+  attributes.emplace_back(std::move(new_attr));
+  tag_modified(attributes.back());
+  return &attributes.back();
+}
+
+Attribute *AttributeSet::find(ustring name) const
+{
+  foreach (const Attribute &attr, attributes)
+    if (attr.name == name)
+      return (Attribute *)&attr;
+
+  return NULL;
+}
+
+void AttributeSet::remove(ustring name)
+{
+  Attribute *attr = find(name);
+
+  if (attr) {
+    list<Attribute>::iterator it;
+
+    for (it = attributes.begin(); it != attributes.end(); it++) {
+      if (&*it == attr) {
+        remove(it);
+        return;
+      }
+    }
+  }
+}
+
+Attribute *AttributeSet::add(AttributeStandard std, ustring name)
+{
+  Attribute *attr = NULL;
+
+  if (name == ustring())
+    name = Attribute::standard_name(std);
+
+  if (geometry->geometry_type == Geometry::MESH) {
+    switch (std) {
+      case ATTR_STD_VERTEX_NORMAL:
+        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_VERTEX);
+        break;
+      case ATTR_STD_FACE_NORMAL:
+        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_FACE);
+        break;
+      case ATTR_STD_UV:
+        attr = add(name, TypeFloat2, ATTR_ELEMENT_CORNER);
+        break;
+      case ATTR_STD_UV_TANGENT:
+        attr = add(name, TypeDesc::TypeVector, ATTR_ELEMENT_CORNER);
+        break;
+      case ATTR_STD_UV_TANGENT_SIGN:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CORNER);
+        break;
+      case ATTR_STD_VERTEX_COLOR:
+        attr = add(name, TypeRGBA, ATTR_ELEMENT_CORNER_BYTE);
+        break;
+      case ATTR_STD_GENERATED:
+      case ATTR_STD_POSITION_UNDEFORMED:
+      case ATTR_STD_POSITION_UNDISPLACED:
+        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_VERTEX);
+        break;
+      case ATTR_STD_MOTION_VERTEX_POSITION:
+        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_VERTEX_MOTION);
+        break;
+      case ATTR_STD_MOTION_VERTEX_NORMAL:
+        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_VERTEX_MOTION);
+        break;
+      case ATTR_STD_PTEX_FACE_ID:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_FACE);
+        break;
+      case ATTR_STD_PTEX_UV:
+        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_VERTEX);
+        break;
+      case ATTR_STD_GENERATED_TRANSFORM:
+        attr = add(name, TypeDesc::TypeMatrix, ATTR_ELEMENT_MESH);
+        break;
+      case ATTR_STD_POINTINESS:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_VERTEX);
+        break;
+      case ATTR_STD_RANDOM_PER_ISLAND:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_FACE);
+        break;
+      default:
+        assert(0);
+        break;
+    }
+  }
+  else if (geometry->geometry_type == Geometry::VOLUME) {
+    switch (std) {
+      case ATTR_STD_VERTEX_NORMAL:
+        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_VERTEX);
+        break;
+      case ATTR_STD_FACE_NORMAL:
+        attr = add(name, TypeDesc::TypeNormal, ATTR_ELEMENT_FACE);
+        break;
+      case ATTR_STD_VOLUME_DENSITY:
+      case ATTR_STD_VOLUME_FLAME:
+      case ATTR_STD_VOLUME_HEAT:
+      case ATTR_STD_VOLUME_TEMPERATURE:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_VOXEL);
+        break;
+      case ATTR_STD_VOLUME_COLOR:
+        attr = add(name, TypeDesc::TypeColor, ATTR_ELEMENT_VOXEL);
+        break;
+      case ATTR_STD_VOLUME_VELOCITY:
+        attr = add(name, TypeDesc::TypeVector, ATTR_ELEMENT_VOXEL);
+        break;
+      default:
+        assert(0);
+        break;
+    }
+  }
+  else if (geometry->geometry_type == Geometry::HAIR) {
+    switch (std) {
+      case ATTR_STD_UV:
+        attr = add(name, TypeFloat2, ATTR_ELEMENT_CURVE);
+        break;
+      case ATTR_STD_GENERATED:
+        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_CURVE);
+        break;
+      case ATTR_STD_MOTION_VERTEX_POSITION:
+        attr = add(name, TypeDesc::TypePoint, ATTR_ELEMENT_CURVE_KEY_MOTION);
+        break;
+      case ATTR_STD_CURVE_INTERCEPT:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE_KEY);
+        break;
+      case ATTR_STD_CURVE_LENGTH:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE);
+        break;
+      case ATTR_STD_CURVE_RANDOM:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE);
+        break;
+      case ATTR_STD_GENERATED_TRANSFORM:
+        attr = add(name, TypeDesc::TypeMatrix, ATTR_ELEMENT_MESH);
+        break;
+      case ATTR_STD_POINTINESS:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_VERTEX);
+        break;
+      case ATTR_STD_RANDOM_PER_ISLAND:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_FACE);
+        break;
+      case ATTR_STD_SHADOW_TRANSPARENCY:
+        attr = add(name, TypeDesc::TypeFloat, ATTR_ELEMENT_CURVE_KEY);
+        break;
+      default:
+        assert(0);
+        break;
+    }
+  }
+
+  attr->std = std;
+
+  return attr;
+}
+
+Attribute *AttributeSet::find(AttributeStandard std) const
+{
+  foreach (const Attribute &attr, attributes)
+    if (attr.std == std)
+      return (Attribute *)&attr;
+
+  return NULL;
+}
+
+void AttributeSet::remove(AttributeStandard std)
+{
+  Attribute *attr = find(std);
+
+  if (attr) {
+    list<Attribute>::iterator it;
+
+    for (it = attributes.begin(); it != attributes.end(); it++) {
+      if (&*it == attr) {
+        remove(it);
+        return;
+      }
+    }
+  }
+}
+
+Attribute *AttributeSet::find(AttributeRequest &req)
+{
+  if (req.std == ATTR_STD_NONE)
+    return find(req.name);
+  else
+    return find(req.std);
+}
+
+void AttributeSet::remove(Attribute *attribute)
+{
+  if (attribute->std == ATTR_STD_NONE) {
+    remove(attribute->name);
+  }
+  else {
+    remove(attribute->std);
+  }
+}
+
+void AttributeSet::remove(list<Attribute>::iterator it)
+{
+  tag_modified(*it);
+  attributes.erase(it);
+}
+
+void AttributeSet::resize(bool reserve_only)
+{
+  foreach (Attribute &attr, attributes) {
+    attr.resize(geometry, prim, reserve_only);
+  }
+}
+
+void AttributeSet::clear(bool preserve_voxel_data)
+{
+  if (preserve_voxel_data) {
+    list<Attribute>::iterator it;
+
+    for (it = attributes.begin(); it != attributes.end();) {
+      if (it->element == ATTR_ELEMENT_VOXEL || it->std == ATTR_STD_GENERATED_TRANSFORM) {
+        it++;
+      }
+      else {
+        attributes.erase(it++);
+      }
+    }
+  }
+  else {
+    attributes.clear();
+  }
+}
+
+void AttributeSet::update(AttributeSet &&new_attributes)
+{
+  /* add or update old_attributes based on the new_attributes */
+  foreach (Attribute &attr, new_attributes.attributes) {
+    Attribute *nattr = add(attr.name, attr.type, attr.element);
+    nattr->std = attr.std;
+    nattr->set_data_from(std::move(attr));
+  }
+
+  /* remove any attributes not on new_attributes */
+  list<Attribute>::iterator it;
+  for (it = attributes.begin(); it != attributes.end();) {
+    if (it->std != ATTR_STD_NONE) {
+      if (new_attributes.find(it->std) == nullptr) {
+        remove(it++);
+        continue;
+      }
+    }
+    else if (it->name != "") {
+      if (new_attributes.find(it->name) == nullptr) {
+        remove(it++);
+        continue;
+      }
+    }
+
+    it++;
+  }
+
+  /* If all attributes were replaced, transform is no longer applied. */
+  geometry->transform_applied = false;
+}
+
+void AttributeSet::clear_modified()
+{
+  foreach (Attribute &attr, attributes) {
+    attr.modified = false;
+  }
+
+  modified_flag = 0;
+}
+
+void AttributeSet::tag_modified(const Attribute &attr)
+{
+  /* Some attributes are not stored in the various kernel attribute arrays
+   * (DeviceScene::attribute_*), so the modified flags are only set if the associated standard
+   * corresponds to an attribute which will be stored in the kernel's attribute arrays. */
+  const bool modifies_device_array = (attr.std != ATTR_STD_FACE_NORMAL &&
+                                      attr.std != ATTR_STD_VERTEX_NORMAL);
+
+  if (modifies_device_array) {
+    AttrKernelDataType kernel_type = Attribute::kernel_type(attr);
+    modified_flag |= (1u << kernel_type);
+  }
+}
+
+bool AttributeSet::modified(AttrKernelDataType kernel_type) const
+{
+  return (modified_flag & (1u << kernel_type)) != 0;
+}
+
+/* AttributeRequest */
+
+AttributeRequest::AttributeRequest(ustring name_)
+{
+  name = name_;
+  std = ATTR_STD_NONE;
+
+  type = TypeDesc::TypeFloat;
+  desc.element = ATTR_ELEMENT_NONE;
+  desc.offset = 0;
+  desc.type = NODE_ATTR_FLOAT;
+
+  subd_type = TypeDesc::TypeFloat;
+  subd_desc.element = ATTR_ELEMENT_NONE;
+  subd_desc.offset = 0;
+  subd_desc.type = NODE_ATTR_FLOAT;
+}
+
+AttributeRequest::AttributeRequest(AttributeStandard std_)
+{
+  name = ustring();
+  std = std_;
+
+  type = TypeDesc::TypeFloat;
+  desc.element = ATTR_ELEMENT_NONE;
+  desc.offset = 0;
+  desc.type = NODE_ATTR_FLOAT;
+
+  subd_type = TypeDesc::TypeFloat;
+  subd_desc.element = ATTR_ELEMENT_NONE;
+  subd_desc.offset = 0;
+  subd_desc.type = NODE_ATTR_FLOAT;
+}
+
+/* AttributeRequestSet */
+
+AttributeRequestSet::AttributeRequestSet()
+{
+}
+
+AttributeRequestSet::~AttributeRequestSet()
+{
+}
+
+bool AttributeRequestSet::modified(const AttributeRequestSet &other)
+{
+  if (requests.size() != other.requests.size())
+    return true;
+
+  for (size_t i = 0; i < requests.size(); i++) {
+    bool found = false;
+
+    for (size_t j = 0; j < requests.size() && !found; j++)
+      if (requests[i].name == other.requests[j].name && requests[i].std == other.requests[j].std) {
+        found = true;
+      }
+
+    if (!found) {
+      return true;
+    }
+  }
+
+  return false;
+}
+
+void AttributeRequestSet::add(ustring name)
+{
+  foreach (AttributeRequest &req, requests) {
+    if (req.name == name) {
+      return;
+    }
+  }
+
+  requests.push_back(AttributeRequest(name));
+}
+
+void AttributeRequestSet::add(AttributeStandard std)
+{
+  foreach (AttributeRequest &req, requests)
+    if (req.std == std)
+      return;
+
+  requests.push_back(AttributeRequest(std));
+}
+
+void AttributeRequestSet::add(AttributeRequestSet &reqs)
+{
+  foreach (AttributeRequest &req, reqs.requests) {
+    if (req.std == ATTR_STD_NONE)
+      add(req.name);
+    else
+      add(req.std);
+  }
+}
+
+void AttributeRequestSet::add_standard(ustring name)
+{
+  if (name.empty()) {
+    return;
+  }
+
+  AttributeStandard std = Attribute::name_standard(name.c_str());
+
+  if (std) {
+    add(std);
+  }
+  else {
+    add(name);
+  }
+}
+
+bool AttributeRequestSet::find(ustring name)
+{
+  foreach (AttributeRequest &req, requests)
+    if (req.name == name)
+      return true;
+
+  return false;
+}
+
+bool AttributeRequestSet::find(AttributeStandard std)
+{
+  foreach (AttributeRequest &req, requests)
+    if (req.std == std)
+      return true;
+
+  return false;
+}
+
+size_t AttributeRequestSet::size()
+{
+  return requests.size();
+}
+
+void AttributeRequestSet::clear()
+{
+  requests.clear();
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/attribute.h b/intern/cycles/scene/attribute.h
new file mode 100644
index 00000000000..9af3dcaee26
--- /dev/null
+++ b/intern/cycles/scene/attribute.h
@@ -0,0 +1,287 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __ATTRIBUTE_H__
+#define __ATTRIBUTE_H__
+
+#include "scene/image.h"
+
+#include "kernel/kernel_types.h"
+
+#include "util/util_list.h"
+#include "util/util_param.h"
+#include "util/util_set.h"
+#include "util/util_types.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Attribute;
+class AttributeRequest;
+class AttributeRequestSet;
+class AttributeSet;
+class ImageHandle;
+class Geometry;
+class Hair;
+class Mesh;
+struct Transform;
+
+/* AttrKernelDataType.
+ *
+ * The data type of the device arrays storing the attribute's data. Those data types are different
+ * than the ones for attributes as some attribute types are stored in the same array, e.g. Point,
+ * Vector, and Transform are all stored as float3 in the kernel.
+ *
+ * The values of this enumeration are also used as flags to detect changes in AttributeSet. */
+
+enum AttrKernelDataType {
+  FLOAT = 0,
+  FLOAT2 = 1,
+  FLOAT3 = 2,
+  UCHAR4 = 3,
+};
+
+/* Attribute
+ *
+ * Arbitrary data layers on meshes.
+ * Supported types: Float, Color, Vector, Normal, Point */
+
+class Attribute {
+ public:
+  ustring name;
+  AttributeStandard std;
+
+  TypeDesc type;
+  vector<char> buffer;
+  AttributeElement element;
+  uint flags; /* enum AttributeFlag */
+
+  bool modified;
+
+  Attribute(ustring name,
+            TypeDesc type,
+            AttributeElement element,
+            Geometry *geom,
+            AttributePrimitive prim);
+  Attribute(Attribute &&other) = default;
+  Attribute(const Attribute &other) = delete;
+  Attribute &operator=(const Attribute &other) = delete;
+  ~Attribute();
+
+  void set(ustring name, TypeDesc type, AttributeElement element);
+  void resize(Geometry *geom, AttributePrimitive prim, bool reserve_only);
+  void resize(size_t num_elements);
+
+  size_t data_sizeof() const;
+  size_t element_size(Geometry *geom, AttributePrimitive prim) const;
+  size_t buffer_size(Geometry *geom, AttributePrimitive prim) const;
+
+  char *data()
+  {
+    return (buffer.size()) ? &buffer[0] : NULL;
+  }
+  float2 *data_float2()
+  {
+    assert(data_sizeof() == sizeof(float2));
+    return (float2 *)data();
+  }
+  float3 *data_float3()
+  {
+    assert(data_sizeof() == sizeof(float3));
+    return (float3 *)data();
+  }
+  float4 *data_float4()
+  {
+    assert(data_sizeof() == sizeof(float4));
+    return (float4 *)data();
+  }
+  float *data_float()
+  {
+    assert(data_sizeof() == sizeof(float));
+    return (float *)data();
+  }
+  uchar4 *data_uchar4()
+  {
+    assert(data_sizeof() == sizeof(uchar4));
+    return (uchar4 *)data();
+  }
+  Transform *data_transform()
+  {
+    assert(data_sizeof() == sizeof(Transform));
+    return (Transform *)data();
+  }
+
+  /* Attributes for voxels are images */
+  ImageHandle &data_voxel()
+  {
+    assert(data_sizeof() == sizeof(ImageHandle));
+    return *(ImageHandle *)data();
+  }
+
+  const char *data() const
+  {
+    return (buffer.size()) ? &buffer[0] : NULL;
+  }
+  const float2 *data_float2() const
+  {
+    assert(data_sizeof() == sizeof(float2));
+    return (const float2 *)data();
+  }
+  const float3 *data_float3() const
+  {
+    assert(data_sizeof() == sizeof(float3));
+    return (const float3 *)data();
+  }
+  const float4 *data_float4() const
+  {
+    assert(data_sizeof() == sizeof(float4));
+    return (const float4 *)data();
+  }
+  const float *data_float() const
+  {
+    assert(data_sizeof() == sizeof(float));
+    return (const float *)data();
+  }
+  const Transform *data_transform() const
+  {
+    assert(data_sizeof() == sizeof(Transform));
+    return (const Transform *)data();
+  }
+  const ImageHandle &data_voxel() const
+  {
+    assert(data_sizeof() == sizeof(ImageHandle));
+    return *(const ImageHandle *)data();
+  }
+
+  void zero_data(void *dst);
+  void add_with_weight(void *dst, void *src, float weight);
+
+  void add(const float &f);
+  void add(const float2 &f);
+  void add(const float3 &f);
+  void add(const uchar4 &f);
+  void add(const Transform &tfm);
+  void add(const char *data);
+
+  void set_data_from(Attribute &&other);
+
+  static bool same_storage(TypeDesc a, TypeDesc b);
+  static const char *standard_name(AttributeStandard std);
+  static AttributeStandard name_standard(const char *name);
+
+  static AttrKernelDataType kernel_type(const Attribute &attr);
+
+  void get_uv_tiles(Geometry *geom, AttributePrimitive prim, unordered_set<int> &tiles) const;
+};
+
+/* Attribute Set
+ *
+ * Set of attributes on a mesh. */
+
+class AttributeSet {
+  uint32_t modified_flag;
+
+ public:
+  Geometry *geometry;
+  AttributePrimitive prim;
+  list<Attribute> attributes;
+
+  AttributeSet(Geometry *geometry, AttributePrimitive prim);
+  AttributeSet(AttributeSet &&) = default;
+  ~AttributeSet();
+
+  Attribute *add(ustring name, TypeDesc type, AttributeElement element);
+  Attribute *find(ustring name) const;
+  void remove(ustring name);
+
+  Attribute *add(AttributeStandard std, ustring name = ustring());
+  Attribute *find(AttributeStandard std) const;
+  void remove(AttributeStandard std);
+
+  Attribute *find(AttributeRequest &req);
+
+  void remove(Attribute *attribute);
+
+  void remove(list<Attribute>::iterator it);
+
+  void resize(bool reserve_only = false);
+  void clear(bool preserve_voxel_data = false);
+
+  /* Update the attributes in this AttributeSet with the ones from the new set,
+   * and remove any attribute not found on the new set from this. */
+  void update(AttributeSet &&new_attributes);
+
+  /* Return whether the attributes of the given kernel_type are modified, where "modified" means
+   * that some attributes of the given type were added or removed from this AttributeSet. This does
+   * not mean that the data of the remaining attributes in this AttributeSet were also modified. To
+   * check this, use Attribute.modified. */
+  bool modified(AttrKernelDataType kernel_type) const;
+
+  void clear_modified();
+
+ private:
+  /* Set the relevant modified flag for the attribute. Only attributes that are stored in device
+   * arrays will be considered for tagging this AttributeSet as modified. */
+  void tag_modified(const Attribute &attr);
+};
+
+/* AttributeRequest
+ *
+ * Request from a shader to use a certain attribute, so we can figure out
+ * which ones we need to export from the host app end store for the kernel.
+ * The attribute is found either by name or by standard attribute type. */
+
+class AttributeRequest {
+ public:
+  ustring name;
+  AttributeStandard std;
+
+  /* temporary variables used by GeometryManager */
+  TypeDesc type, subd_type;
+  AttributeDescriptor desc, subd_desc;
+
+  explicit AttributeRequest(ustring name_);
+  explicit AttributeRequest(AttributeStandard std);
+};
+
+/* AttributeRequestSet
+ *
+ * Set of attributes requested by a shader. */
+
+class AttributeRequestSet {
+ public:
+  vector<AttributeRequest> requests;
+
+  AttributeRequestSet();
+  ~AttributeRequestSet();
+
+  void add(ustring name);
+  void add(AttributeStandard std);
+  void add(AttributeRequestSet &reqs);
+  void add_standard(ustring name);
+
+  bool find(ustring name);
+  bool find(AttributeStandard std);
+
+  size_t size();
+  void clear();
+
+  bool modified(const AttributeRequestSet &other);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __ATTRIBUTE_H__ */
diff --git a/intern/cycles/scene/background.cpp b/intern/cycles/scene/background.cpp
new file mode 100644
index 00000000000..db5be885538
--- /dev/null
+++ b/intern/cycles/scene/background.cpp
@@ -0,0 +1,140 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/background.h"
+#include "device/device.h"
+#include "scene/integrator.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
+#include "scene/stats.h"
+
+#include "util/util_foreach.h"
+#include "util/util_math.h"
+#include "util/util_time.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+NODE_DEFINE(Background)
+{
+  NodeType *type = NodeType::add("background", create);
+
+  SOCKET_BOOLEAN(use_shader, "Use Shader", true);
+  SOCKET_UINT(visibility, "Visibility", PATH_RAY_ALL_VISIBILITY);
+
+  SOCKET_BOOLEAN(transparent, "Transparent", false);
+  SOCKET_BOOLEAN(transparent_glass, "Transparent Glass", false);
+  SOCKET_FLOAT(transparent_roughness_threshold, "Transparent Roughness Threshold", 0.0f);
+
+  SOCKET_FLOAT(volume_step_size, "Volume Step Size", 0.1f);
+
+  SOCKET_NODE(shader, "Shader", Shader::get_node_type());
+
+  return type;
+}
+
+Background::Background() : Node(get_node_type())
+{
+  shader = NULL;
+}
+
+Background::~Background()
+{
+  dereference_all_used_nodes();
+}
+
+void Background::device_update(Device *device, DeviceScene *dscene, Scene *scene)
+{
+  if (!is_modified())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->background.times.add_entry({"device_update", time});
+    }
+  });
+
+  device_free(device, dscene);
+
+  Shader *bg_shader = get_shader(scene);
+
+  /* set shader index and transparent option */
+  KernelBackground *kbackground = &dscene->data.background;
+
+  kbackground->transparent = transparent;
+  kbackground->surface_shader = scene->shader_manager->get_shader_id(bg_shader);
+
+  if (transparent && transparent_glass) {
+    /* Square twice, once for principled BSDF convention, and once for
+     * faster comparison in kernel with anisotropic roughness. */
+    kbackground->transparent_roughness_squared_threshold = sqr(
+        sqr(transparent_roughness_threshold));
+  }
+  else {
+    kbackground->transparent_roughness_squared_threshold = -1.0f;
+  }
+
+  if (bg_shader->has_volume)
+    kbackground->volume_shader = kbackground->surface_shader;
+  else
+    kbackground->volume_shader = SHADER_NONE;
+
+  kbackground->volume_step_size = volume_step_size * scene->integrator->get_volume_step_rate();
+
+  /* No background node, make world shader invisible to all rays, to skip evaluation in kernel. */
+  if (bg_shader->graph->nodes.size() <= 1) {
+    kbackground->surface_shader |= SHADER_EXCLUDE_ANY;
+  }
+  /* Background present, check visibilities */
+  else {
+    if (!(visibility & PATH_RAY_DIFFUSE))
+      kbackground->surface_shader |= SHADER_EXCLUDE_DIFFUSE;
+    if (!(visibility & PATH_RAY_GLOSSY))
+      kbackground->surface_shader |= SHADER_EXCLUDE_GLOSSY;
+    if (!(visibility & PATH_RAY_TRANSMIT))
+      kbackground->surface_shader |= SHADER_EXCLUDE_TRANSMIT;
+    if (!(visibility & PATH_RAY_VOLUME_SCATTER))
+      kbackground->surface_shader |= SHADER_EXCLUDE_SCATTER;
+    if (!(visibility & PATH_RAY_CAMERA))
+      kbackground->surface_shader |= SHADER_EXCLUDE_CAMERA;
+  }
+
+  clear_modified();
+}
+
+void Background::device_free(Device * /*device*/, DeviceScene * /*dscene*/)
+{
+}
+
+void Background::tag_update(Scene *scene)
+{
+  Shader *bg_shader = get_shader(scene);
+  if (bg_shader && bg_shader->is_modified()) {
+    /* Tag as modified to update the KernelBackground visibility information.
+     * We only tag the use_shader socket as modified as it is related to the shader
+     * and to avoid doing unnecessary updates anywhere else. */
+    tag_use_shader_modified();
+  }
+}
+
+Shader *Background::get_shader(const Scene *scene)
+{
+  return (use_shader) ? ((shader) ? shader : scene->default_background) : scene->default_empty;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/background.h b/intern/cycles/scene/background.h
new file mode 100644
index 00000000000..2f7ef0f7737
--- /dev/null
+++ b/intern/cycles/scene/background.h
@@ -0,0 +1,59 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __BACKGROUND_H__
+#define __BACKGROUND_H__
+
+#include "graph/node.h"
+
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Scene;
+class Shader;
+
+class Background : public Node {
+ public:
+  NODE_DECLARE
+
+  NODE_SOCKET_API(bool, use_shader)
+
+  NODE_SOCKET_API(uint, visibility)
+  NODE_SOCKET_API(Shader *, shader)
+
+  NODE_SOCKET_API(bool, transparent)
+  NODE_SOCKET_API(bool, transparent_glass)
+  NODE_SOCKET_API(float, transparent_roughness_threshold)
+
+  NODE_SOCKET_API(float, volume_step_size)
+
+  Background();
+  ~Background();
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
+  void device_free(Device *device, DeviceScene *dscene);
+
+  void tag_update(Scene *scene);
+
+  Shader *get_shader(const Scene *scene);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __BACKGROUND_H__ */
diff --git a/intern/cycles/scene/bake.cpp b/intern/cycles/scene/bake.cpp
new file mode 100644
index 00000000000..86c5c4c02af
--- /dev/null
+++ b/intern/cycles/scene/bake.cpp
@@ -0,0 +1,104 @@
+/*
+ * Copyright 2011-2014 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/bake.h"
+#include "scene/integrator.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/shader.h"
+#include "scene/stats.h"
+#include "session/buffers.h"
+
+#include "util/util_foreach.h"
+
+CCL_NAMESPACE_BEGIN
+
+BakeManager::BakeManager()
+{
+  need_update_ = true;
+}
+
+BakeManager::~BakeManager()
+{
+}
+
+bool BakeManager::get_baking() const
+{
+  return !object_name.empty();
+}
+
+void BakeManager::set(Scene *scene, const std::string &object_name_)
+{
+  object_name = object_name_;
+
+  /* create device and update scene */
+  scene->film->tag_modified();
+  scene->integrator->tag_update(scene, Integrator::UPDATE_ALL);
+
+  need_update_ = true;
+}
+
+void BakeManager::device_update(Device * /*device*/,
+                                DeviceScene *dscene,
+                                Scene *scene,
+                                Progress & /* progress */)
+{
+  if (!need_update())
+    return;
+
+  KernelBake *kbake = &dscene->data.bake;
+  memset(kbake, 0, sizeof(*kbake));
+
+  if (!object_name.empty()) {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->bake.times.add_entry({"device_update", time});
+      }
+    });
+
+    kbake->use = true;
+
+    int object_index = 0;
+    foreach (Object *object, scene->objects) {
+      const Geometry *geom = object->get_geometry();
+      if (object->name == object_name && geom->geometry_type == Geometry::MESH) {
+        kbake->object_index = object_index;
+        kbake->tri_offset = geom->prim_offset;
+        break;
+      }
+
+      object_index++;
+    }
+  }
+
+  need_update_ = false;
+}
+
+void BakeManager::device_free(Device * /*device*/, DeviceScene * /*dscene*/)
+{
+}
+
+void BakeManager::tag_update()
+{
+  need_update_ = true;
+}
+
+bool BakeManager::need_update() const
+{
+  return need_update_;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/bake.h b/intern/cycles/scene/bake.h
new file mode 100644
index 00000000000..044383d2d43
--- /dev/null
+++ b/intern/cycles/scene/bake.h
@@ -0,0 +1,50 @@
+/*
+ * Copyright 2011-2014 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __BAKE_H__
+#define __BAKE_H__
+
+#include "device/device.h"
+#include "scene/scene.h"
+
+#include "util/util_progress.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class BakeManager {
+ public:
+  BakeManager();
+  ~BakeManager();
+
+  void set(Scene *scene, const std::string &object_name);
+  bool get_baking() const;
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+  void device_free(Device *device, DeviceScene *dscene);
+
+  void tag_update();
+
+  bool need_update() const;
+
+ private:
+  bool need_update_;
+  std::string object_name;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __BAKE_H__ */
diff --git a/intern/cycles/scene/camera.cpp b/intern/cycles/scene/camera.cpp
new file mode 100644
index 00000000000..1e78f8dd36f
--- /dev/null
+++ b/intern/cycles/scene/camera.cpp
@@ -0,0 +1,814 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/camera.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/stats.h"
+#include "scene/tables.h"
+
+#include "device/device.h"
+
+#include "util/util_foreach.h"
+#include "util/util_function.h"
+#include "util/util_logging.h"
+#include "util/util_math_cdf.h"
+#include "util/util_task.h"
+#include "util/util_time.h"
+#include "util/util_vector.h"
+
+/* needed for calculating differentials */
+#include "kernel/device/cpu/compat.h"
+#include "kernel/device/cpu/globals.h"
+
+#include "kernel/camera/camera.h"
+
+CCL_NAMESPACE_BEGIN
+
+static float shutter_curve_eval(float x, array<float> &shutter_curve)
+{
+  if (shutter_curve.size() == 0) {
+    return 1.0f;
+  }
+
+  x *= shutter_curve.size();
+  int index = (int)x;
+  float frac = x - index;
+  if (index < shutter_curve.size() - 1) {
+    return lerp(shutter_curve[index], shutter_curve[index + 1], frac);
+  }
+  else {
+    return shutter_curve[shutter_curve.size() - 1];
+  }
+}
+
+NODE_DEFINE(Camera)
+{
+  NodeType *type = NodeType::add("camera", create);
+
+  SOCKET_FLOAT(shuttertime, "Shutter Time", 1.0f);
+
+  static NodeEnum motion_position_enum;
+  motion_position_enum.insert("start", MOTION_POSITION_START);
+  motion_position_enum.insert("center", MOTION_POSITION_CENTER);
+  motion_position_enum.insert("end", MOTION_POSITION_END);
+  SOCKET_ENUM(motion_position, "Motion Position", motion_position_enum, MOTION_POSITION_CENTER);
+
+  static NodeEnum rolling_shutter_type_enum;
+  rolling_shutter_type_enum.insert("none", ROLLING_SHUTTER_NONE);
+  rolling_shutter_type_enum.insert("top", ROLLING_SHUTTER_TOP);
+  SOCKET_ENUM(rolling_shutter_type,
+              "Rolling Shutter Type",
+              rolling_shutter_type_enum,
+              ROLLING_SHUTTER_NONE);
+  SOCKET_FLOAT(rolling_shutter_duration, "Rolling Shutter Duration", 0.1f);
+
+  SOCKET_FLOAT_ARRAY(shutter_curve, "Shutter Curve", array<float>());
+
+  SOCKET_FLOAT(aperturesize, "Aperture Size", 0.0f);
+  SOCKET_FLOAT(focaldistance, "Focal Distance", 10.0f);
+  SOCKET_UINT(blades, "Blades", 0);
+  SOCKET_FLOAT(bladesrotation, "Blades Rotation", 0.0f);
+
+  SOCKET_TRANSFORM(matrix, "Matrix", transform_identity());
+  SOCKET_TRANSFORM_ARRAY(motion, "Motion", array<Transform>());
+
+  SOCKET_FLOAT(aperture_ratio, "Aperture Ratio", 1.0f);
+
+  static NodeEnum type_enum;
+  type_enum.insert("perspective", CAMERA_PERSPECTIVE);
+  type_enum.insert("orthograph", CAMERA_ORTHOGRAPHIC);
+  type_enum.insert("panorama", CAMERA_PANORAMA);
+  SOCKET_ENUM(camera_type, "Type", type_enum, CAMERA_PERSPECTIVE);
+
+  static NodeEnum panorama_type_enum;
+  panorama_type_enum.insert("equirectangular", PANORAMA_EQUIRECTANGULAR);
+  panorama_type_enum.insert("mirrorball", PANORAMA_MIRRORBALL);
+  panorama_type_enum.insert("fisheye_equidistant", PANORAMA_FISHEYE_EQUIDISTANT);
+  panorama_type_enum.insert("fisheye_equisolid", PANORAMA_FISHEYE_EQUISOLID);
+  SOCKET_ENUM(panorama_type, "Panorama Type", panorama_type_enum, PANORAMA_EQUIRECTANGULAR);
+
+  SOCKET_FLOAT(fisheye_fov, "Fisheye FOV", M_PI_F);
+  SOCKET_FLOAT(fisheye_lens, "Fisheye Lens", 10.5f);
+  SOCKET_FLOAT(latitude_min, "Latitude Min", -M_PI_2_F);
+  SOCKET_FLOAT(latitude_max, "Latitude Max", M_PI_2_F);
+  SOCKET_FLOAT(longitude_min, "Longitude Min", -M_PI_F);
+  SOCKET_FLOAT(longitude_max, "Longitude Max", M_PI_F);
+  SOCKET_FLOAT(fov, "FOV", M_PI_4_F);
+  SOCKET_FLOAT(fov_pre, "FOV Pre", M_PI_4_F);
+  SOCKET_FLOAT(fov_post, "FOV Post", M_PI_4_F);
+
+  static NodeEnum stereo_eye_enum;
+  stereo_eye_enum.insert("none", STEREO_NONE);
+  stereo_eye_enum.insert("left", STEREO_LEFT);
+  stereo_eye_enum.insert("right", STEREO_RIGHT);
+  SOCKET_ENUM(stereo_eye, "Stereo Eye", stereo_eye_enum, STEREO_NONE);
+
+  SOCKET_BOOLEAN(use_spherical_stereo, "Use Spherical Stereo", false);
+
+  SOCKET_FLOAT(interocular_distance, "Interocular Distance", 0.065f);
+  SOCKET_FLOAT(convergence_distance, "Convergence Distance", 30.0f * 0.065f);
+
+  SOCKET_BOOLEAN(use_pole_merge, "Use Pole Merge", false);
+  SOCKET_FLOAT(pole_merge_angle_from, "Pole Merge Angle From", 60.0f * M_PI_F / 180.0f);
+  SOCKET_FLOAT(pole_merge_angle_to, "Pole Merge Angle To", 75.0f * M_PI_F / 180.0f);
+
+  SOCKET_FLOAT(sensorwidth, "Sensor Width", 0.036f);
+  SOCKET_FLOAT(sensorheight, "Sensor Height", 0.024f);
+
+  SOCKET_FLOAT(nearclip, "Near Clip", 1e-5f);
+  SOCKET_FLOAT(farclip, "Far Clip", 1e5f);
+
+  SOCKET_FLOAT(viewplane.left, "Viewplane Left", 0);
+  SOCKET_FLOAT(viewplane.right, "Viewplane Right", 0);
+  SOCKET_FLOAT(viewplane.bottom, "Viewplane Bottom", 0);
+  SOCKET_FLOAT(viewplane.top, "Viewplane Top", 0);
+
+  SOCKET_FLOAT(border.left, "Border Left", 0);
+  SOCKET_FLOAT(border.right, "Border Right", 0);
+  SOCKET_FLOAT(border.bottom, "Border Bottom", 0);
+  SOCKET_FLOAT(border.top, "Border Top", 0);
+
+  SOCKET_FLOAT(viewport_camera_border.left, "Viewport Border Left", 0);
+  SOCKET_FLOAT(viewport_camera_border.right, "Viewport Border Right", 0);
+  SOCKET_FLOAT(viewport_camera_border.bottom, "Viewport Border Bottom", 0);
+  SOCKET_FLOAT(viewport_camera_border.top, "Viewport Border Top", 0);
+
+  SOCKET_FLOAT(offscreen_dicing_scale, "Offscreen Dicing Scale", 1.0f);
+
+  SOCKET_INT(full_width, "Full Width", 1024);
+  SOCKET_INT(full_height, "Full Height", 512);
+
+  SOCKET_BOOLEAN(use_perspective_motion, "Use Perspective Motion", false);
+
+  return type;
+}
+
+Camera::Camera() : Node(get_node_type())
+{
+  shutter_table_offset = TABLE_OFFSET_INVALID;
+
+  width = 1024;
+  height = 512;
+
+  use_perspective_motion = false;
+
+  shutter_curve.resize(RAMP_TABLE_SIZE);
+  for (int i = 0; i < shutter_curve.size(); ++i) {
+    shutter_curve[i] = 1.0f;
+  }
+
+  compute_auto_viewplane();
+
+  screentoworld = projection_identity();
+  rastertoworld = projection_identity();
+  ndctoworld = projection_identity();
+  rastertocamera = projection_identity();
+  cameratoworld = transform_identity();
+  worldtoraster = projection_identity();
+
+  full_rastertocamera = projection_identity();
+
+  dx = zero_float3();
+  dy = zero_float3();
+
+  need_device_update = true;
+  need_flags_update = true;
+  previous_need_motion = -1;
+
+  memset((void *)&kernel_camera, 0, sizeof(kernel_camera));
+}
+
+Camera::~Camera()
+{
+}
+
+void Camera::compute_auto_viewplane()
+{
+  if (camera_type == CAMERA_PANORAMA) {
+    viewplane.left = 0.0f;
+    viewplane.right = 1.0f;
+    viewplane.bottom = 0.0f;
+    viewplane.top = 1.0f;
+  }
+  else {
+    float aspect = (float)full_width / (float)full_height;
+    if (full_width >= full_height) {
+      viewplane.left = -aspect;
+      viewplane.right = aspect;
+      viewplane.bottom = -1.0f;
+      viewplane.top = 1.0f;
+    }
+    else {
+      viewplane.left = -1.0f;
+      viewplane.right = 1.0f;
+      viewplane.bottom = -1.0f / aspect;
+      viewplane.top = 1.0f / aspect;
+    }
+  }
+}
+
+void Camera::update(Scene *scene)
+{
+  Scene::MotionType need_motion = scene->need_motion();
+
+  if (previous_need_motion != need_motion) {
+    /* scene's motion model could have been changed since previous device
+     * camera update this could happen for example in case when one render
+     * layer has got motion pass and another not */
+    need_device_update = true;
+  }
+
+  if (!is_modified())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->camera.times.add_entry({"update", time});
+    }
+  });
+
+  /* Full viewport to camera border in the viewport. */
+  Transform fulltoborder = transform_from_viewplane(viewport_camera_border);
+  Transform bordertofull = transform_inverse(fulltoborder);
+
+  /* NDC to raster. */
+  Transform ndctoraster = transform_scale(width, height, 1.0f) * bordertofull;
+  Transform full_ndctoraster = transform_scale(full_width, full_height, 1.0f) * bordertofull;
+
+  /* Raster to screen. */
+  Transform screentondc = fulltoborder * transform_from_viewplane(viewplane);
+
+  Transform screentoraster = ndctoraster * screentondc;
+  Transform rastertoscreen = transform_inverse(screentoraster);
+  Transform full_screentoraster = full_ndctoraster * screentondc;
+  Transform full_rastertoscreen = transform_inverse(full_screentoraster);
+
+  /* Screen to camera. */
+  ProjectionTransform cameratoscreen;
+  if (camera_type == CAMERA_PERSPECTIVE)
+    cameratoscreen = projection_perspective(fov, nearclip, farclip);
+  else if (camera_type == CAMERA_ORTHOGRAPHIC)
+    cameratoscreen = projection_orthographic(nearclip, farclip);
+  else
+    cameratoscreen = projection_identity();
+
+  ProjectionTransform screentocamera = projection_inverse(cameratoscreen);
+
+  rastertocamera = screentocamera * rastertoscreen;
+  full_rastertocamera = screentocamera * full_rastertoscreen;
+  cameratoraster = screentoraster * cameratoscreen;
+
+  cameratoworld = matrix;
+  screentoworld = cameratoworld * screentocamera;
+  rastertoworld = cameratoworld * rastertocamera;
+  ndctoworld = rastertoworld * ndctoraster;
+
+  /* note we recompose matrices instead of taking inverses of the above, this
+   * is needed to avoid inverting near degenerate matrices that happen due to
+   * precision issues with large scenes */
+  worldtocamera = transform_inverse(matrix);
+  worldtoscreen = cameratoscreen * worldtocamera;
+  worldtondc = screentondc * worldtoscreen;
+  worldtoraster = ndctoraster * worldtondc;
+
+  /* differentials */
+  if (camera_type == CAMERA_ORTHOGRAPHIC) {
+    dx = transform_perspective_direction(&rastertocamera, make_float3(1, 0, 0));
+    dy = transform_perspective_direction(&rastertocamera, make_float3(0, 1, 0));
+    full_dx = transform_perspective_direction(&full_rastertocamera, make_float3(1, 0, 0));
+    full_dy = transform_perspective_direction(&full_rastertocamera, make_float3(0, 1, 0));
+  }
+  else if (camera_type == CAMERA_PERSPECTIVE) {
+    dx = transform_perspective(&rastertocamera, make_float3(1, 0, 0)) -
+         transform_perspective(&rastertocamera, make_float3(0, 0, 0));
+    dy = transform_perspective(&rastertocamera, make_float3(0, 1, 0)) -
+         transform_perspective(&rastertocamera, make_float3(0, 0, 0));
+    full_dx = transform_perspective(&full_rastertocamera, make_float3(1, 0, 0)) -
+              transform_perspective(&full_rastertocamera, make_float3(0, 0, 0));
+    full_dy = transform_perspective(&full_rastertocamera, make_float3(0, 1, 0)) -
+              transform_perspective(&full_rastertocamera, make_float3(0, 0, 0));
+  }
+  else {
+    dx = zero_float3();
+    dy = zero_float3();
+  }
+
+  dx = transform_direction(&cameratoworld, dx);
+  dy = transform_direction(&cameratoworld, dy);
+  full_dx = transform_direction(&cameratoworld, full_dx);
+  full_dy = transform_direction(&cameratoworld, full_dy);
+
+  if (camera_type == CAMERA_PERSPECTIVE) {
+    float3 v = transform_perspective(&full_rastertocamera,
+                                     make_float3(full_width, full_height, 1.0f));
+    frustum_right_normal = normalize(make_float3(v.z, 0.0f, -v.x));
+    frustum_top_normal = normalize(make_float3(0.0f, v.z, -v.y));
+
+    v = transform_perspective(&full_rastertocamera, make_float3(0.0f, 0.0f, 1.0f));
+    frustum_left_normal = normalize(make_float3(-v.z, 0.0f, v.x));
+    frustum_bottom_normal = normalize(make_float3(0.0f, -v.z, v.y));
+  }
+
+  /* Compute kernel camera data. */
+  KernelCamera *kcam = &kernel_camera;
+
+  /* store matrices */
+  kcam->screentoworld = screentoworld;
+  kcam->rastertoworld = rastertoworld;
+  kcam->rastertocamera = rastertocamera;
+  kcam->cameratoworld = cameratoworld;
+  kcam->worldtocamera = worldtocamera;
+  kcam->worldtoscreen = worldtoscreen;
+  kcam->worldtoraster = worldtoraster;
+  kcam->worldtondc = worldtondc;
+  kcam->ndctoworld = ndctoworld;
+
+  /* camera motion */
+  kcam->num_motion_steps = 0;
+  kcam->have_perspective_motion = 0;
+  kernel_camera_motion.clear();
+
+  /* Test if any of the transforms are actually different. */
+  bool have_motion = false;
+  for (size_t i = 0; i < motion.size(); i++) {
+    have_motion = have_motion || motion[i] != matrix;
+  }
+
+  if (need_motion == Scene::MOTION_PASS) {
+    /* TODO(sergey): Support perspective (zoom, fov) motion. */
+    if (camera_type == CAMERA_PANORAMA) {
+      if (have_motion) {
+        kcam->motion_pass_pre = transform_inverse(motion[0]);
+        kcam->motion_pass_post = transform_inverse(motion[motion.size() - 1]);
+      }
+      else {
+        kcam->motion_pass_pre = kcam->worldtocamera;
+        kcam->motion_pass_post = kcam->worldtocamera;
+      }
+    }
+    else {
+      if (have_motion) {
+        kcam->perspective_pre = cameratoraster * transform_inverse(motion[0]);
+        kcam->perspective_post = cameratoraster * transform_inverse(motion[motion.size() - 1]);
+      }
+      else {
+        kcam->perspective_pre = worldtoraster;
+        kcam->perspective_post = worldtoraster;
+      }
+    }
+  }
+  else if (need_motion == Scene::MOTION_BLUR) {
+    if (have_motion) {
+      kernel_camera_motion.resize(motion.size());
+      transform_motion_decompose(kernel_camera_motion.data(), motion.data(), motion.size());
+      kcam->num_motion_steps = motion.size();
+    }
+
+    /* TODO(sergey): Support other types of camera. */
+    if (use_perspective_motion && camera_type == CAMERA_PERSPECTIVE) {
+      /* TODO(sergey): Move to an utility function and de-duplicate with
+       * calculation above.
+       */
+      ProjectionTransform screentocamera_pre = projection_inverse(
+          projection_perspective(fov_pre, nearclip, farclip));
+      ProjectionTransform screentocamera_post = projection_inverse(
+          projection_perspective(fov_post, nearclip, farclip));
+
+      kcam->perspective_pre = screentocamera_pre * rastertoscreen;
+      kcam->perspective_post = screentocamera_post * rastertoscreen;
+      kcam->have_perspective_motion = 1;
+    }
+  }
+
+  /* depth of field */
+  kcam->aperturesize = aperturesize;
+  kcam->focaldistance = focaldistance;
+  kcam->blades = (blades < 3) ? 0.0f : blades;
+  kcam->bladesrotation = bladesrotation;
+
+  /* motion blur */
+  kcam->shuttertime = (need_motion == Scene::MOTION_BLUR) ? shuttertime : -1.0f;
+
+  /* type */
+  kcam->type = camera_type;
+
+  /* anamorphic lens bokeh */
+  kcam->inv_aperture_ratio = 1.0f / aperture_ratio;
+
+  /* panorama */
+  kcam->panorama_type = panorama_type;
+  kcam->fisheye_fov = fisheye_fov;
+  kcam->fisheye_lens = fisheye_lens;
+  kcam->equirectangular_range = make_float4(longitude_min - longitude_max,
+                                            -longitude_min,
+                                            latitude_min - latitude_max,
+                                            -latitude_min + M_PI_2_F);
+
+  switch (stereo_eye) {
+    case STEREO_LEFT:
+      kcam->interocular_offset = -interocular_distance * 0.5f;
+      break;
+    case STEREO_RIGHT:
+      kcam->interocular_offset = interocular_distance * 0.5f;
+      break;
+    case STEREO_NONE:
+    default:
+      kcam->interocular_offset = 0.0f;
+      break;
+  }
+
+  kcam->convergence_distance = convergence_distance;
+  if (use_pole_merge) {
+    kcam->pole_merge_angle_from = pole_merge_angle_from;
+    kcam->pole_merge_angle_to = pole_merge_angle_to;
+  }
+  else {
+    kcam->pole_merge_angle_from = -1.0f;
+    kcam->pole_merge_angle_to = -1.0f;
+  }
+
+  /* sensor size */
+  kcam->sensorwidth = sensorwidth;
+  kcam->sensorheight = sensorheight;
+
+  /* render size */
+  kcam->width = width;
+  kcam->height = height;
+
+  /* store differentials */
+  kcam->dx = float3_to_float4(dx);
+  kcam->dy = float3_to_float4(dy);
+
+  /* clipping */
+  kcam->nearclip = nearclip;
+  kcam->cliplength = (farclip == FLT_MAX) ? FLT_MAX : farclip - nearclip;
+
+  /* Camera in volume. */
+  kcam->is_inside_volume = 0;
+
+  /* Rolling shutter effect */
+  kcam->rolling_shutter_type = rolling_shutter_type;
+  kcam->rolling_shutter_duration = rolling_shutter_duration;
+
+  /* Set further update flags */
+  clear_modified();
+  need_device_update = true;
+  need_flags_update = true;
+  previous_need_motion = need_motion;
+}
+
+void Camera::device_update(Device * /* device */, DeviceScene *dscene, Scene *scene)
+{
+  update(scene);
+
+  if (!need_device_update)
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->camera.times.add_entry({"device_update", time});
+    }
+  });
+
+  scene->lookup_tables->remove_table(&shutter_table_offset);
+  if (kernel_camera.shuttertime != -1.0f) {
+    vector<float> shutter_table;
+    util_cdf_inverted(SHUTTER_TABLE_SIZE,
+                      0.0f,
+                      1.0f,
+                      function_bind(shutter_curve_eval, _1, shutter_curve),
+                      false,
+                      shutter_table);
+    shutter_table_offset = scene->lookup_tables->add_table(dscene, shutter_table);
+    kernel_camera.shutter_table_offset = (int)shutter_table_offset;
+  }
+
+  dscene->data.cam = kernel_camera;
+
+  size_t num_motion_steps = kernel_camera_motion.size();
+  if (num_motion_steps) {
+    DecomposedTransform *camera_motion = dscene->camera_motion.alloc(num_motion_steps);
+    memcpy(camera_motion, kernel_camera_motion.data(), sizeof(*camera_motion) * num_motion_steps);
+    dscene->camera_motion.copy_to_device();
+  }
+  else {
+    dscene->camera_motion.free();
+  }
+}
+
+void Camera::device_update_volume(Device * /*device*/, DeviceScene *dscene, Scene *scene)
+{
+  if (!need_device_update && !need_flags_update) {
+    return;
+  }
+
+  KernelIntegrator *kintegrator = &dscene->data.integrator;
+  if (kintegrator->use_volumes) {
+    KernelCamera *kcam = &dscene->data.cam;
+    BoundBox viewplane_boundbox = viewplane_bounds_get();
+
+    /* Parallel object update, with grain size to avoid too much threading overhead
+     * for individual objects. */
+    static const int OBJECTS_PER_TASK = 32;
+    parallel_for(blocked_range<size_t>(0, scene->objects.size(), OBJECTS_PER_TASK),
+                 [&](const blocked_range<size_t> &r) {
+                   for (size_t i = r.begin(); i != r.end(); i++) {
+                     Object *object = scene->objects[i];
+                     if (object->get_geometry()->has_volume &&
+                         viewplane_boundbox.intersects(object->bounds)) {
+                       /* TODO(sergey): Consider adding more grained check. */
+                       VLOG(1) << "Detected camera inside volume.";
+                       kcam->is_inside_volume = 1;
+                       parallel_for_cancel();
+                       break;
+                     }
+                   }
+                 });
+
+    if (!kcam->is_inside_volume) {
+      VLOG(1) << "Camera is outside of the volume.";
+    }
+  }
+
+  need_device_update = false;
+  need_flags_update = false;
+}
+
+void Camera::device_free(Device * /*device*/, DeviceScene *dscene, Scene *scene)
+{
+  scene->lookup_tables->remove_table(&shutter_table_offset);
+  dscene->camera_motion.free();
+}
+
+float3 Camera::transform_raster_to_world(float raster_x, float raster_y)
+{
+  float3 D, P;
+  if (camera_type == CAMERA_PERSPECTIVE) {
+    D = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
+    float3 Pclip = normalize(D);
+    P = zero_float3();
+    /* TODO(sergey): Aperture support? */
+    P = transform_point(&cameratoworld, P);
+    D = normalize(transform_direction(&cameratoworld, D));
+    /* TODO(sergey): Clipping is conditional in kernel, and hence it could
+     * be mistakes in here, currently leading to wrong camera-in-volume
+     * detection.
+     */
+    P += nearclip * D / Pclip.z;
+  }
+  else if (camera_type == CAMERA_ORTHOGRAPHIC) {
+    D = make_float3(0.0f, 0.0f, 1.0f);
+    /* TODO(sergey): Aperture support? */
+    P = transform_perspective(&rastertocamera, make_float3(raster_x, raster_y, 0.0f));
+    P = transform_point(&cameratoworld, P);
+    D = normalize(transform_direction(&cameratoworld, D));
+  }
+  else {
+    assert(!"unsupported camera type");
+  }
+  return P;
+}
+
+BoundBox Camera::viewplane_bounds_get()
+{
+  /* TODO(sergey): This is all rather stupid, but is there a way to perform
+   * checks we need in a more clear and smart fashion? */
+  BoundBox bounds = BoundBox::empty;
+
+  if (camera_type == CAMERA_PANORAMA) {
+    if (use_spherical_stereo == false) {
+      bounds.grow(make_float3(cameratoworld.x.w, cameratoworld.y.w, cameratoworld.z.w));
+    }
+    else {
+      float half_eye_distance = interocular_distance * 0.5f;
+
+      bounds.grow(make_float3(
+          cameratoworld.x.w + half_eye_distance, cameratoworld.y.w, cameratoworld.z.w));
+
+      bounds.grow(make_float3(
+          cameratoworld.z.w, cameratoworld.y.w + half_eye_distance, cameratoworld.z.w));
+
+      bounds.grow(make_float3(
+          cameratoworld.x.w - half_eye_distance, cameratoworld.y.w, cameratoworld.z.w));
+
+      bounds.grow(make_float3(
+          cameratoworld.x.w, cameratoworld.y.w - half_eye_distance, cameratoworld.z.w));
+    }
+  }
+  else {
+    bounds.grow(transform_raster_to_world(0.0f, 0.0f));
+    bounds.grow(transform_raster_to_world(0.0f, (float)height));
+    bounds.grow(transform_raster_to_world((float)width, (float)height));
+    bounds.grow(transform_raster_to_world((float)width, 0.0f));
+    if (camera_type == CAMERA_PERSPECTIVE) {
+      /* Center point has the most distance in local Z axis,
+       * use it to construct bounding box/
+       */
+      bounds.grow(transform_raster_to_world(0.5f * width, 0.5f * height));
+    }
+  }
+  return bounds;
+}
+
+float Camera::world_to_raster_size(float3 P)
+{
+  float res = 1.0f;
+
+  if (camera_type == CAMERA_ORTHOGRAPHIC) {
+    res = min(len(full_dx), len(full_dy));
+
+    if (offscreen_dicing_scale > 1.0f) {
+      float3 p = transform_point(&worldtocamera, P);
+      float3 v1 = transform_perspective(&full_rastertocamera,
+                                        make_float3(full_width, full_height, 0.0f));
+      float3 v2 = transform_perspective(&full_rastertocamera, zero_float3());
+
+      /* Create point clamped to frustum */
+      float3 c;
+      c.x = max(v2.x, min(v1.x, p.x));
+      c.y = max(v2.y, min(v1.y, p.y));
+      c.z = max(0.0f, p.z);
+
+      /* Check right side */
+      float f_dist = len(p - c) / sqrtf((v1.x * v1.x + v1.y * v1.y) * 0.5f);
+      if (f_dist < 0.0f) {
+        /* Check left side */
+        f_dist = len(p - c) / sqrtf((v2.x * v2.x + v2.y * v2.y) * 0.5f);
+      }
+      if (f_dist > 0.0f) {
+        res += res * f_dist * (offscreen_dicing_scale - 1.0f);
+      }
+    }
+  }
+  else if (camera_type == CAMERA_PERSPECTIVE) {
+    /* Calculate as if point is directly ahead of the camera. */
+    float3 raster = make_float3(0.5f * full_width, 0.5f * full_height, 0.0f);
+    float3 Pcamera = transform_perspective(&full_rastertocamera, raster);
+
+    /* dDdx */
+    float3 Ddiff = transform_direction(&cameratoworld, Pcamera);
+    float3 dx = len_squared(full_dx) < len_squared(full_dy) ? full_dx : full_dy;
+    float3 dDdx = normalize(Ddiff + dx) - normalize(Ddiff);
+
+    /* dPdx */
+    float dist = len(transform_point(&worldtocamera, P));
+    float3 D = normalize(Ddiff);
+    res = len(dist * dDdx - dot(dist * dDdx, D) * D);
+
+    /* Decent approx distance to frustum
+     * (doesn't handle corners correctly, but not that big of a deal) */
+    float f_dist = 0.0f;
+
+    if (offscreen_dicing_scale > 1.0f) {
+      float3 p = transform_point(&worldtocamera, P);
+
+      /* Distance from the four planes */
+      float r = dot(p, frustum_right_normal);
+      float t = dot(p, frustum_top_normal);
+      float l = dot(p, frustum_left_normal);
+      float b = dot(p, frustum_bottom_normal);
+
+      if (r <= 0.0f && l <= 0.0f && t <= 0.0f && b <= 0.0f) {
+        /* Point is inside frustum */
+        f_dist = 0.0f;
+      }
+      else if (r > 0.0f && l > 0.0f && t > 0.0f && b > 0.0f) {
+        /* Point is behind frustum */
+        f_dist = len(p);
+      }
+      else {
+        /* Point may be behind or off to the side, need to check */
+        float3 along_right = make_float3(-frustum_right_normal.z, 0.0f, frustum_right_normal.x);
+        float3 along_left = make_float3(frustum_left_normal.z, 0.0f, -frustum_left_normal.x);
+        float3 along_top = make_float3(0.0f, -frustum_top_normal.z, frustum_top_normal.y);
+        float3 along_bottom = make_float3(0.0f, frustum_bottom_normal.z, -frustum_bottom_normal.y);
+
+        float dist[] = {r, l, t, b};
+        float3 along[] = {along_right, along_left, along_top, along_bottom};
+
+        bool test_o = false;
+
+        float *d = dist;
+        float3 *a = along;
+        for (int i = 0; i < 4; i++, d++, a++) {
+          /* Test if we should check this side at all */
+          if (*d > 0.0f) {
+            if (dot(p, *a) >= 0.0f) {
+              /* We are in front of the back edge of this side of the frustum */
+              f_dist = max(f_dist, *d);
+            }
+            else {
+              /* Possibly far enough behind the frustum to use distance to origin instead of edge
+               */
+              test_o = true;
+            }
+          }
+        }
+
+        if (test_o) {
+          f_dist = (f_dist > 0) ? min(f_dist, len(p)) : len(p);
+        }
+      }
+
+      if (f_dist > 0.0f) {
+        res += len(dDdx - dot(dDdx, D) * D) * f_dist * (offscreen_dicing_scale - 1.0f);
+      }
+    }
+  }
+  else if (camera_type == CAMERA_PANORAMA) {
+    float3 D = transform_point(&worldtocamera, P);
+    float dist = len(D);
+
+    Ray ray;
+    memset(&ray, 0, sizeof(ray));
+
+    /* Distortion can become so great that the results become meaningless, there
+     * may be a better way to do this, but calculating differentials from the
+     * point directly ahead seems to produce good enough results. */
+#if 0
+    float2 dir = direction_to_panorama(&kernel_camera, kernel_camera_motion.data(), normalize(D));
+    float3 raster = transform_perspective(&full_cameratoraster, make_float3(dir.x, dir.y, 0.0f));
+
+    ray.t = 1.0f;
+    camera_sample_panorama(
+        &kernel_camera, kernel_camera_motion.data(), raster.x, raster.y, 0.0f, 0.0f, &ray);
+    if (ray.t == 0.0f) {
+      /* No differentials, just use from directly ahead. */
+      camera_sample_panorama(&kernel_camera,
+                             kernel_camera_motion.data(),
+                             0.5f * full_width,
+                             0.5f * full_height,
+                             0.0f,
+                             0.0f,
+                             &ray);
+    }
+#else
+    camera_sample_panorama(&kernel_camera,
+#  ifdef __CAMERA_MOTION__
+                           kernel_camera_motion.data(),
+#  endif
+                           0.5f * full_width,
+                           0.5f * full_height,
+                           0.0f,
+                           0.0f,
+                           &ray);
+#endif
+
+    /* TODO: would it help to use more accurate differentials here? */
+    differential3 dP;
+    differential_transfer_compact(&dP, ray.dP, ray.D, ray.dD, ray.D, dist);
+
+    return max(len(dP.dx), len(dP.dy));
+  }
+
+  return res;
+}
+
+bool Camera::use_motion() const
+{
+  return motion.size() > 1;
+}
+
+void Camera::set_screen_size(int width_, int height_)
+{
+  if (width_ != width || height_ != height) {
+    width = width_;
+    height = height_;
+    tag_modified();
+  }
+}
+
+float Camera::motion_time(int step) const
+{
+  return (use_motion()) ? 2.0f * step / (motion.size() - 1) - 1.0f : 0.0f;
+}
+
+int Camera::motion_step(float time) const
+{
+  if (use_motion()) {
+    for (int step = 0; step < motion.size(); step++) {
+      if (time == motion_time(step)) {
+        return step;
+      }
+    }
+  }
+
+  return -1;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/camera.h b/intern/cycles/scene/camera.h
new file mode 100644
index 00000000000..cb8ecac1a7e
--- /dev/null
+++ b/intern/cycles/scene/camera.h
@@ -0,0 +1,236 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __CAMERA_H__
+#define __CAMERA_H__
+
+#include "kernel/kernel_types.h"
+
+#include "graph/node.h"
+
+#include "util/util_array.h"
+#include "util/util_boundbox.h"
+#include "util/util_projection.h"
+#include "util/util_transform.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Scene;
+
+/* Camera
+ *
+ * The camera parameters are quite standard, tested to be both compatible with
+ * Renderman, and Blender after remapping.
+ */
+
+class Camera : public Node {
+ public:
+  NODE_DECLARE
+
+  /* Specifies an offset for the shutter's time interval. */
+  enum MotionPosition {
+    /* Shutter opens at the current frame. */
+    MOTION_POSITION_START = 0,
+    /* Shutter is fully open at the current frame. */
+    MOTION_POSITION_CENTER = 1,
+    /* Shutter closes at the current frame. */
+    MOTION_POSITION_END = 2,
+
+    MOTION_NUM_POSITIONS,
+  };
+
+  /* Specifies rolling shutter effect. */
+  enum RollingShutterType {
+    /* No rolling shutter effect. */
+    ROLLING_SHUTTER_NONE = 0,
+    /* Sensor is being scanned vertically from top to bottom. */
+    ROLLING_SHUTTER_TOP = 1,
+
+    ROLLING_SHUTTER_NUM_TYPES,
+  };
+
+  /* Stereo Type */
+  enum StereoEye {
+    STEREO_NONE,
+    STEREO_LEFT,
+    STEREO_RIGHT,
+  };
+
+  /* motion blur */
+  NODE_SOCKET_API(float, shuttertime)
+  NODE_SOCKET_API(MotionPosition, motion_position)
+  NODE_SOCKET_API_ARRAY(array<float>, shutter_curve)
+  size_t shutter_table_offset;
+
+  /* ** Rolling shutter effect. ** */
+  /* Defines rolling shutter effect type. */
+  NODE_SOCKET_API(RollingShutterType, rolling_shutter_type)
+  /* Specifies exposure time of scan-lines when using
+   * rolling shutter effect.
+   */
+  NODE_SOCKET_API(float, rolling_shutter_duration)
+
+  /* depth of field */
+  NODE_SOCKET_API(float, focaldistance)
+  NODE_SOCKET_API(float, aperturesize)
+  NODE_SOCKET_API(uint, blades)
+  NODE_SOCKET_API(float, bladesrotation)
+
+  /* type */
+  NODE_SOCKET_API(CameraType, camera_type)
+  NODE_SOCKET_API(float, fov)
+
+  /* panorama */
+  NODE_SOCKET_API(PanoramaType, panorama_type)
+  NODE_SOCKET_API(float, fisheye_fov)
+  NODE_SOCKET_API(float, fisheye_lens)
+  NODE_SOCKET_API(float, latitude_min)
+  NODE_SOCKET_API(float, latitude_max)
+  NODE_SOCKET_API(float, longitude_min)
+  NODE_SOCKET_API(float, longitude_max)
+
+  /* panorama stereo */
+  NODE_SOCKET_API(StereoEye, stereo_eye)
+  NODE_SOCKET_API(bool, use_spherical_stereo)
+  NODE_SOCKET_API(float, interocular_distance)
+  NODE_SOCKET_API(float, convergence_distance)
+  NODE_SOCKET_API(bool, use_pole_merge)
+  NODE_SOCKET_API(float, pole_merge_angle_from)
+  NODE_SOCKET_API(float, pole_merge_angle_to)
+
+  /* anamorphic lens bokeh */
+  NODE_SOCKET_API(float, aperture_ratio)
+
+  /* sensor */
+  NODE_SOCKET_API(float, sensorwidth)
+  NODE_SOCKET_API(float, sensorheight)
+
+  /* clipping */
+  NODE_SOCKET_API(float, nearclip)
+  NODE_SOCKET_API(float, farclip)
+
+  /* screen */
+  BoundBox2D viewplane;
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, left)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, right)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, bottom)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewplane, top)
+
+  /* width and height change during preview, so we need these for calculating dice rates. */
+  NODE_SOCKET_API(int, full_width)
+  NODE_SOCKET_API(int, full_height)
+  /* controls how fast the dicing rate falls off for geometry out side of view */
+  NODE_SOCKET_API(float, offscreen_dicing_scale)
+
+  /* border */
+  BoundBox2D border;
+  NODE_SOCKET_API_STRUCT_MEMBER(float, border, left)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, border, right)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, border, bottom)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, border, top)
+
+  BoundBox2D viewport_camera_border;
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, left)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, right)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, bottom)
+  NODE_SOCKET_API_STRUCT_MEMBER(float, viewport_camera_border, top)
+
+  /* transformation */
+  NODE_SOCKET_API(Transform, matrix)
+
+  /* motion */
+  NODE_SOCKET_API_ARRAY(array<Transform>, motion)
+  NODE_SOCKET_API(bool, use_perspective_motion)
+  NODE_SOCKET_API(float, fov_pre)
+  NODE_SOCKET_API(float, fov_post)
+
+  /* computed camera parameters */
+  ProjectionTransform screentoworld;
+  ProjectionTransform rastertoworld;
+  ProjectionTransform ndctoworld;
+  Transform cameratoworld;
+
+  ProjectionTransform worldtoraster;
+  ProjectionTransform worldtoscreen;
+  ProjectionTransform worldtondc;
+  Transform worldtocamera;
+
+  ProjectionTransform rastertocamera;
+  ProjectionTransform cameratoraster;
+
+  ProjectionTransform full_rastertocamera;
+
+  float3 dx;
+  float3 dy;
+
+  float3 full_dx;
+  float3 full_dy;
+
+  float3 frustum_right_normal;
+  float3 frustum_top_normal;
+  float3 frustum_left_normal;
+  float3 frustum_bottom_normal;
+
+  /* update */
+  bool need_device_update;
+  bool need_flags_update;
+  int previous_need_motion;
+
+  /* Kernel camera data, copied here for dicing. */
+  KernelCamera kernel_camera;
+  array<DecomposedTransform> kernel_camera_motion;
+
+ private:
+  int width;
+  int height;
+
+ public:
+  /* functions */
+  Camera();
+  ~Camera();
+
+  void compute_auto_viewplane();
+
+  void update(Scene *scene);
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
+  void device_update_volume(Device *device, DeviceScene *dscene, Scene *scene);
+  void device_free(Device *device, DeviceScene *dscene, Scene *scene);
+
+  /* Public utility functions. */
+  BoundBox viewplane_bounds_get();
+
+  /* Calculates the width of a pixel at point in world space. */
+  float world_to_raster_size(float3 P);
+
+  /* Motion blur. */
+  float motion_time(int step) const;
+  int motion_step(float time) const;
+  bool use_motion() const;
+
+  void set_screen_size(int width_, int height_);
+
+ private:
+  /* Private utility functions. */
+  float3 transform_raster_to_world(float raster_x, float raster_y);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __CAMERA_H__ */
diff --git a/intern/cycles/scene/colorspace.cpp b/intern/cycles/scene/colorspace.cpp
new file mode 100644
index 00000000000..8584a6f5dd7
--- /dev/null
+++ b/intern/cycles/scene/colorspace.cpp
@@ -0,0 +1,398 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/colorspace.h"
+
+#include "util/util_color.h"
+#include "util/util_half.h"
+#include "util/util_image.h"
+#include "util/util_logging.h"
+#include "util/util_math.h"
+#include "util/util_thread.h"
+#include "util/util_vector.h"
+
+#ifdef WITH_OCIO
+#  include <OpenColorIO/OpenColorIO.h>
+namespace OCIO = OCIO_NAMESPACE;
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+/* Builtin colorspaces. */
+ustring u_colorspace_auto;
+ustring u_colorspace_raw("__builtin_raw");
+ustring u_colorspace_srgb("__builtin_srgb");
+
+/* Cached data. */
+#ifdef WITH_OCIO
+static thread_mutex cache_colorspaces_mutex;
+static thread_mutex cache_processors_mutex;
+static unordered_map<ustring, ustring, ustringHash> cached_colorspaces;
+static unordered_map<ustring, OCIO::ConstProcessorRcPtr, ustringHash> cached_processors;
+#endif
+
+ColorSpaceProcessor *ColorSpaceManager::get_processor(ustring colorspace)
+{
+#ifdef WITH_OCIO
+  /* Only use this for OpenColorIO color spaces, not the builtin ones. */
+  assert(colorspace != u_colorspace_srgb && colorspace != u_colorspace_auto);
+
+  if (colorspace == u_colorspace_raw) {
+    return NULL;
+  }
+
+  OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
+  if (!config) {
+    return NULL;
+  }
+
+  /* Cache processor until free_memory(), memory overhead is expected to be
+   * small and the processor is likely to be reused. */
+  thread_scoped_lock cache_processors_lock(cache_processors_mutex);
+  if (cached_processors.find(colorspace) == cached_processors.end()) {
+    try {
+      cached_processors[colorspace] = config->getProcessor(colorspace.c_str(), "scene_linear");
+    }
+    catch (OCIO::Exception &exception) {
+      cached_processors[colorspace] = OCIO::ConstProcessorRcPtr();
+      VLOG(1) << "Colorspace " << colorspace.c_str()
+              << " can't be converted to scene_linear: " << exception.what();
+    }
+  }
+
+  const OCIO::Processor *processor = cached_processors[colorspace].get();
+  return (ColorSpaceProcessor *)processor;
+#else
+  /* No OpenColorIO. */
+  (void)colorspace;
+  return NULL;
+#endif
+}
+
+bool ColorSpaceManager::colorspace_is_data(ustring colorspace)
+{
+  if (colorspace == u_colorspace_auto || colorspace == u_colorspace_raw ||
+      colorspace == u_colorspace_srgb) {
+    return false;
+  }
+
+#ifdef WITH_OCIO
+  OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
+  if (!config) {
+    return false;
+  }
+
+  try {
+    OCIO::ConstColorSpaceRcPtr space = config->getColorSpace(colorspace.c_str());
+    return space && space->isData();
+  }
+  catch (OCIO::Exception &) {
+    return false;
+  }
+#else
+  return false;
+#endif
+}
+
+ustring ColorSpaceManager::detect_known_colorspace(ustring colorspace,
+                                                   const char *file_format,
+                                                   bool is_float)
+{
+  if (colorspace == u_colorspace_auto) {
+    /* Auto detect sRGB or raw if none specified. */
+    if (is_float) {
+      bool srgb = (colorspace == "sRGB" || colorspace == "GammaCorrected" ||
+                   (colorspace.empty() &&
+                    (strcmp(file_format, "png") == 0 || strcmp(file_format, "tiff") == 0 ||
+                     strcmp(file_format, "dpx") == 0 || strcmp(file_format, "jpeg2000") == 0)));
+      return srgb ? u_colorspace_srgb : u_colorspace_raw;
+    }
+    else {
+      return u_colorspace_srgb;
+    }
+  }
+  else if (colorspace == u_colorspace_srgb || colorspace == u_colorspace_raw) {
+    /* Builtin colorspaces. */
+    return colorspace;
+  }
+  else {
+    /* Use OpenColorIO. */
+#ifdef WITH_OCIO
+    {
+      thread_scoped_lock cache_lock(cache_colorspaces_mutex);
+      /* Cached lookup. */
+      if (cached_colorspaces.find(colorspace) != cached_colorspaces.end()) {
+        return cached_colorspaces[colorspace];
+      }
+    }
+
+    /* Detect if it matches a simple builtin colorspace. */
+    bool is_scene_linear, is_srgb;
+    is_builtin_colorspace(colorspace, is_scene_linear, is_srgb);
+
+    thread_scoped_lock cache_lock(cache_colorspaces_mutex);
+    if (is_scene_linear) {
+      VLOG(1) << "Colorspace " << colorspace.string() << " is no-op";
+      cached_colorspaces[colorspace] = u_colorspace_raw;
+      return u_colorspace_raw;
+    }
+    else if (is_srgb) {
+      VLOG(1) << "Colorspace " << colorspace.string() << " is sRGB";
+      cached_colorspaces[colorspace] = u_colorspace_srgb;
+      return u_colorspace_srgb;
+    }
+
+    /* Verify if we can convert from the requested color space. */
+    if (!get_processor(colorspace)) {
+      OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
+      if (!config || !config->getColorSpace(colorspace.c_str())) {
+        VLOG(1) << "Colorspace " << colorspace.c_str() << " not found, using raw instead";
+      }
+      else {
+        VLOG(1) << "Colorspace " << colorspace.c_str()
+                << " can't be converted to scene_linear, using raw instead";
+      }
+      cached_colorspaces[colorspace] = u_colorspace_raw;
+      return u_colorspace_raw;
+    }
+
+    /* Convert to/from colorspace with OpenColorIO. */
+    VLOG(1) << "Colorspace " << colorspace.string() << " handled through OpenColorIO";
+    cached_colorspaces[colorspace] = colorspace;
+    return colorspace;
+#else
+    VLOG(1) << "Colorspace " << colorspace.c_str() << " not available, built without OpenColorIO";
+    return u_colorspace_raw;
+#endif
+  }
+}
+
+void ColorSpaceManager::is_builtin_colorspace(ustring colorspace,
+                                              bool &is_scene_linear,
+                                              bool &is_srgb)
+{
+#ifdef WITH_OCIO
+  const OCIO::Processor *processor = (const OCIO::Processor *)get_processor(colorspace);
+  if (!processor) {
+    is_scene_linear = false;
+    is_srgb = false;
+    return;
+  }
+
+  OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
+  is_scene_linear = true;
+  is_srgb = true;
+  for (int i = 0; i < 256; i++) {
+    float v = i / 255.0f;
+
+    float cR[3] = {v, 0, 0};
+    float cG[3] = {0, v, 0};
+    float cB[3] = {0, 0, v};
+    float cW[3] = {v, v, v};
+    device_processor->applyRGB(cR);
+    device_processor->applyRGB(cG);
+    device_processor->applyRGB(cB);
+    device_processor->applyRGB(cW);
+
+    /* Make sure that there is no channel crosstalk. */
+    if (fabsf(cR[1]) > 1e-5f || fabsf(cR[2]) > 1e-5f || fabsf(cG[0]) > 1e-5f ||
+        fabsf(cG[2]) > 1e-5f || fabsf(cB[0]) > 1e-5f || fabsf(cB[1]) > 1e-5f) {
+      is_scene_linear = false;
+      is_srgb = false;
+      break;
+    }
+    /* Make sure that the three primaries combine linearly. */
+    if (!compare_floats(cR[0], cW[0], 1e-6f, 64) || !compare_floats(cG[1], cW[1], 1e-6f, 64) ||
+        !compare_floats(cB[2], cW[2], 1e-6f, 64)) {
+      is_scene_linear = false;
+      is_srgb = false;
+      break;
+    }
+    /* Make sure that the three channels behave identically. */
+    if (!compare_floats(cW[0], cW[1], 1e-6f, 64) || !compare_floats(cW[1], cW[2], 1e-6f, 64)) {
+      is_scene_linear = false;
+      is_srgb = false;
+      break;
+    }
+
+    float out_v = average(make_float3(cW[0], cW[1], cW[2]));
+    if (!compare_floats(v, out_v, 1e-6f, 64)) {
+      is_scene_linear = false;
+    }
+    if (!compare_floats(color_srgb_to_linear(v), out_v, 1e-6f, 64)) {
+      is_srgb = false;
+    }
+  }
+#else
+  (void)colorspace;
+  is_scene_linear = false;
+  is_srgb = false;
+#endif
+}
+
+#ifdef WITH_OCIO
+
+template<typename T> inline float4 cast_to_float4(T *data)
+{
+  return make_float4(util_image_cast_to_float(data[0]),
+                     util_image_cast_to_float(data[1]),
+                     util_image_cast_to_float(data[2]),
+                     util_image_cast_to_float(data[3]));
+}
+
+template<typename T> inline void cast_from_float4(T *data, float4 value)
+{
+  data[0] = util_image_cast_from_float<T>(value.x);
+  data[1] = util_image_cast_from_float<T>(value.y);
+  data[2] = util_image_cast_from_float<T>(value.z);
+  data[3] = util_image_cast_from_float<T>(value.w);
+}
+
+/* Slower versions for other all data types, which needs to convert to float and back. */
+template<typename T, bool compress_as_srgb = false>
+inline void processor_apply_pixels(const OCIO::Processor *processor, T *pixels, size_t num_pixels)
+{
+  /* TODO: implement faster version for when we know the conversion
+   * is a simple matrix transform between linear spaces. In that case
+   * un-premultiply is not needed. */
+  OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
+
+  /* Process large images in chunks to keep temporary memory requirement down. */
+  const size_t chunk_size = std::min((size_t)(16 * 1024 * 1024), num_pixels);
+  vector<float4> float_pixels(chunk_size);
+
+  for (size_t j = 0; j < num_pixels; j += chunk_size) {
+    size_t width = std::min(chunk_size, num_pixels - j);
+
+    for (size_t i = 0; i < width; i++) {
+      float4 value = cast_to_float4(pixels + 4 * (j + i));
+
+      if (!(value.w <= 0.0f || value.w == 1.0f)) {
+        float inv_alpha = 1.0f / value.w;
+        value.x *= inv_alpha;
+        value.y *= inv_alpha;
+        value.z *= inv_alpha;
+      }
+
+      float_pixels[i] = value;
+    }
+
+    OCIO::PackedImageDesc desc((float *)float_pixels.data(), width, 1, 4);
+    device_processor->apply(desc);
+
+    for (size_t i = 0; i < width; i++) {
+      float4 value = float_pixels[i];
+
+      if (compress_as_srgb) {
+        value = color_linear_to_srgb_v4(value);
+      }
+
+      if (!(value.w <= 0.0f || value.w == 1.0f)) {
+        value.x *= value.w;
+        value.y *= value.w;
+        value.z *= value.w;
+      }
+
+      cast_from_float4(pixels + 4 * (j + i), value);
+    }
+  }
+}
+#endif
+
+template<typename T>
+void ColorSpaceManager::to_scene_linear(ustring colorspace,
+                                        T *pixels,
+                                        size_t num_pixels,
+                                        bool compress_as_srgb)
+{
+#ifdef WITH_OCIO
+  const OCIO::Processor *processor = (const OCIO::Processor *)get_processor(colorspace);
+
+  if (processor) {
+    if (compress_as_srgb) {
+      /* Compress output as sRGB. */
+      processor_apply_pixels<T, true>(processor, pixels, num_pixels);
+    }
+    else {
+      /* Write output as scene linear directly. */
+      processor_apply_pixels<T>(processor, pixels, num_pixels);
+    }
+  }
+#else
+  (void)colorspace;
+  (void)pixels;
+  (void)num_pixels;
+  (void)compress_as_srgb;
+#endif
+}
+
+void ColorSpaceManager::to_scene_linear(ColorSpaceProcessor *processor_,
+                                        float *pixel,
+                                        int channels)
+{
+#ifdef WITH_OCIO
+  const OCIO::Processor *processor = (const OCIO::Processor *)processor_;
+
+  if (processor) {
+    OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
+    if (channels == 3) {
+      device_processor->applyRGB(pixel);
+    }
+    else if (channels == 4) {
+      if (pixel[3] == 1.0f || pixel[3] == 0.0f) {
+        /* Fast path for RGBA. */
+        device_processor->applyRGB(pixel);
+      }
+      else {
+        /* Un-associate and associate alpha since color management should not
+         * be affected by transparency. */
+        float alpha = pixel[3];
+        float inv_alpha = 1.0f / alpha;
+
+        pixel[0] *= inv_alpha;
+        pixel[1] *= inv_alpha;
+        pixel[2] *= inv_alpha;
+
+        device_processor->applyRGB(pixel);
+
+        pixel[0] *= alpha;
+        pixel[1] *= alpha;
+        pixel[2] *= alpha;
+      }
+    }
+  }
+#else
+  (void)processor_;
+  (void)pixel;
+  (void)channels;
+#endif
+}
+
+void ColorSpaceManager::free_memory()
+{
+#ifdef WITH_OCIO
+  map_free_memory(cached_colorspaces);
+  map_free_memory(cached_processors);
+#endif
+}
+
+/* Template instantiations so we don't have to inline functions. */
+template void ColorSpaceManager::to_scene_linear(ustring, uchar *, size_t, bool);
+template void ColorSpaceManager::to_scene_linear(ustring, ushort *, size_t, bool);
+template void ColorSpaceManager::to_scene_linear(ustring, half *, size_t, bool);
+template void ColorSpaceManager::to_scene_linear(ustring, float *, size_t, bool);
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/colorspace.h b/intern/cycles/scene/colorspace.h
new file mode 100644
index 00000000000..51d0b121cc0
--- /dev/null
+++ b/intern/cycles/scene/colorspace.h
@@ -0,0 +1,66 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __COLORSPACE_H__
+#define __COLORSPACE_H__
+
+#include "util/util_map.h"
+#include "util/util_param.h"
+
+CCL_NAMESPACE_BEGIN
+
+extern ustring u_colorspace_auto;
+extern ustring u_colorspace_raw;
+extern ustring u_colorspace_srgb;
+
+class ColorSpaceProcessor;
+
+class ColorSpaceManager {
+ public:
+  /* Convert used specified colorspace to a colorspace that we are able to
+   * convert to and from. If the colorspace is u_colorspace_auto, we auto
+   * detect a colospace. */
+  static ustring detect_known_colorspace(ustring colorspace,
+                                         const char *file_format,
+                                         bool is_float);
+
+  /* Test if colorspace is for non-color data. */
+  static bool colorspace_is_data(ustring colorspace);
+
+  /* Convert pixels in the specified colorspace to scene linear color for
+   * rendering. Must be a colorspace returned from detect_known_colorspace. */
+  template<typename T>
+  static void to_scene_linear(ustring colorspace,
+                              T *pixels,
+                              size_t num_pixels,
+                              bool compress_as_srgb);
+
+  /* Efficiently convert pixels to scene linear colorspace at render time,
+   * for OSL where the image texture cache contains original pixels. The
+   * handle is valid for the lifetime of the application. */
+  static ColorSpaceProcessor *get_processor(ustring colorspace);
+  static void to_scene_linear(ColorSpaceProcessor *processor, float *pixel, int channels);
+
+  /* Clear memory when the application exits. Invalidates all processors. */
+  static void free_memory();
+
+ private:
+  static void is_builtin_colorspace(ustring colorspace, bool &is_no_op, bool &is_srgb);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __COLORSPACE_H__ */
diff --git a/intern/cycles/scene/constant_fold.cpp b/intern/cycles/scene/constant_fold.cpp
new file mode 100644
index 00000000000..b2a17198c93
--- /dev/null
+++ b/intern/cycles/scene/constant_fold.cpp
@@ -0,0 +1,451 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/constant_fold.h"
+#include "scene/shader_graph.h"
+
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+
+CCL_NAMESPACE_BEGIN
+
+ConstantFolder::ConstantFolder(ShaderGraph *graph,
+                               ShaderNode *node,
+                               ShaderOutput *output,
+                               Scene *scene)
+    : graph(graph), node(node), output(output), scene(scene)
+{
+}
+
+bool ConstantFolder::all_inputs_constant() const
+{
+  foreach (ShaderInput *input, node->inputs) {
+    if (input->link) {
+      return false;
+    }
+  }
+
+  return true;
+}
+
+void ConstantFolder::make_constant(float value) const
+{
+  VLOG(1) << "Folding " << node->name << "::" << output->name() << " to constant (" << value
+          << ").";
+
+  foreach (ShaderInput *sock, output->links) {
+    sock->set(value);
+    sock->constant_folded_in = true;
+  }
+
+  graph->disconnect(output);
+}
+
+void ConstantFolder::make_constant(float3 value) const
+{
+  VLOG(1) << "Folding " << node->name << "::" << output->name() << " to constant " << value << ".";
+
+  foreach (ShaderInput *sock, output->links) {
+    sock->set(value);
+    sock->constant_folded_in = true;
+  }
+
+  graph->disconnect(output);
+}
+
+void ConstantFolder::make_constant_clamp(float value, bool clamp) const
+{
+  make_constant(clamp ? saturate(value) : value);
+}
+
+void ConstantFolder::make_constant_clamp(float3 value, bool clamp) const
+{
+  if (clamp) {
+    value.x = saturate(value.x);
+    value.y = saturate(value.y);
+    value.z = saturate(value.z);
+  }
+
+  make_constant(value);
+}
+
+void ConstantFolder::make_zero() const
+{
+  if (output->type() == SocketType::FLOAT) {
+    make_constant(0.0f);
+  }
+  else if (SocketType::is_float3(output->type())) {
+    make_constant(zero_float3());
+  }
+  else {
+    assert(0);
+  }
+}
+
+void ConstantFolder::make_one() const
+{
+  if (output->type() == SocketType::FLOAT) {
+    make_constant(1.0f);
+  }
+  else if (SocketType::is_float3(output->type())) {
+    make_constant(one_float3());
+  }
+  else {
+    assert(0);
+  }
+}
+
+void ConstantFolder::bypass(ShaderOutput *new_output) const
+{
+  assert(new_output);
+
+  VLOG(1) << "Folding " << node->name << "::" << output->name() << " to socket "
+          << new_output->parent->name << "::" << new_output->name() << ".";
+
+  /* Remove all outgoing links from socket and connect them to new_output instead.
+   * The graph->relink method affects node inputs, so it's not safe to use in constant
+   * folding if the node has multiple outputs and will thus be folded multiple times. */
+  vector<ShaderInput *> outputs = output->links;
+
+  graph->disconnect(output);
+
+  foreach (ShaderInput *sock, outputs) {
+    graph->connect(new_output, sock);
+  }
+}
+
+void ConstantFolder::discard() const
+{
+  assert(output->type() == SocketType::CLOSURE);
+
+  VLOG(1) << "Discarding closure " << node->name << ".";
+
+  graph->disconnect(output);
+}
+
+void ConstantFolder::bypass_or_discard(ShaderInput *input) const
+{
+  assert(input->type() == SocketType::CLOSURE);
+
+  if (input->link) {
+    bypass(input->link);
+  }
+  else {
+    discard();
+  }
+}
+
+bool ConstantFolder::try_bypass_or_make_constant(ShaderInput *input, bool clamp) const
+{
+  if (input->type() != output->type()) {
+    return false;
+  }
+  else if (!input->link) {
+    if (input->type() == SocketType::FLOAT) {
+      make_constant_clamp(node->get_float(input->socket_type), clamp);
+      return true;
+    }
+    else if (SocketType::is_float3(input->type())) {
+      make_constant_clamp(node->get_float3(input->socket_type), clamp);
+      return true;
+    }
+  }
+  else if (!clamp) {
+    bypass(input->link);
+    return true;
+  }
+  else {
+    /* disconnect other inputs if we can't fully bypass due to clamp */
+    foreach (ShaderInput *other, node->inputs) {
+      if (other != input && other->link) {
+        graph->disconnect(other);
+      }
+    }
+  }
+
+  return false;
+}
+
+bool ConstantFolder::is_zero(ShaderInput *input) const
+{
+  if (!input->link) {
+    if (input->type() == SocketType::FLOAT) {
+      return node->get_float(input->socket_type) == 0.0f;
+    }
+    else if (SocketType::is_float3(input->type())) {
+      return node->get_float3(input->socket_type) == zero_float3();
+    }
+  }
+
+  return false;
+}
+
+bool ConstantFolder::is_one(ShaderInput *input) const
+{
+  if (!input->link) {
+    if (input->type() == SocketType::FLOAT) {
+      return node->get_float(input->socket_type) == 1.0f;
+    }
+    else if (SocketType::is_float3(input->type())) {
+      return node->get_float3(input->socket_type) == one_float3();
+    }
+  }
+
+  return false;
+}
+
+/* Specific nodes */
+
+void ConstantFolder::fold_mix(NodeMix type, bool clamp) const
+{
+  ShaderInput *fac_in = node->input("Fac");
+  ShaderInput *color1_in = node->input("Color1");
+  ShaderInput *color2_in = node->input("Color2");
+
+  float fac = saturate(node->get_float(fac_in->socket_type));
+  bool fac_is_zero = !fac_in->link && fac == 0.0f;
+  bool fac_is_one = !fac_in->link && fac == 1.0f;
+
+  /* remove no-op node when factor is 0.0 */
+  if (fac_is_zero) {
+    /* note that some of the modes will clamp out of bounds values even without use_clamp */
+    if (!(type == NODE_MIX_LIGHT || type == NODE_MIX_DODGE || type == NODE_MIX_BURN)) {
+      if (try_bypass_or_make_constant(color1_in, clamp)) {
+        return;
+      }
+    }
+  }
+
+  switch (type) {
+    case NODE_MIX_BLEND:
+      /* remove useless mix colors nodes */
+      if (color1_in->link && color2_in->link) {
+        if (color1_in->link == color2_in->link) {
+          try_bypass_or_make_constant(color1_in, clamp);
+          break;
+        }
+      }
+      else if (!color1_in->link && !color2_in->link) {
+        float3 color1 = node->get_float3(color1_in->socket_type);
+        float3 color2 = node->get_float3(color2_in->socket_type);
+        if (color1 == color2) {
+          try_bypass_or_make_constant(color1_in, clamp);
+          break;
+        }
+      }
+      /* remove no-op mix color node when factor is 1.0 */
+      if (fac_is_one) {
+        try_bypass_or_make_constant(color2_in, clamp);
+        break;
+      }
+      break;
+    case NODE_MIX_ADD:
+      /* 0 + X (fac 1) == X */
+      if (is_zero(color1_in) && fac_is_one) {
+        try_bypass_or_make_constant(color2_in, clamp);
+      }
+      /* X + 0 (fac ?) == X */
+      else if (is_zero(color2_in)) {
+        try_bypass_or_make_constant(color1_in, clamp);
+      }
+      break;
+    case NODE_MIX_SUB:
+      /* X - 0 (fac ?) == X */
+      if (is_zero(color2_in)) {
+        try_bypass_or_make_constant(color1_in, clamp);
+      }
+      /* X - X (fac 1) == 0 */
+      else if (color1_in->link && color1_in->link == color2_in->link && fac_is_one) {
+        make_zero();
+      }
+      break;
+    case NODE_MIX_MUL:
+      /* X * 1 (fac ?) == X, 1 * X (fac 1) == X */
+      if (is_one(color1_in) && fac_is_one) {
+        try_bypass_or_make_constant(color2_in, clamp);
+      }
+      else if (is_one(color2_in)) {
+        try_bypass_or_make_constant(color1_in, clamp);
+      }
+      /* 0 * ? (fac ?) == 0, ? * 0 (fac 1) == 0 */
+      else if (is_zero(color1_in)) {
+        make_zero();
+      }
+      else if (is_zero(color2_in) && fac_is_one) {
+        make_zero();
+      }
+      break;
+    case NODE_MIX_DIV:
+      /* X / 1 (fac ?) == X */
+      if (is_one(color2_in)) {
+        try_bypass_or_make_constant(color1_in, clamp);
+      }
+      /* 0 / ? (fac ?) == 0 */
+      else if (is_zero(color1_in)) {
+        make_zero();
+      }
+      break;
+    default:
+      break;
+  }
+}
+
+void ConstantFolder::fold_math(NodeMathType type) const
+{
+  ShaderInput *value1_in = node->input("Value1");
+  ShaderInput *value2_in = node->input("Value2");
+
+  switch (type) {
+    case NODE_MATH_ADD:
+      /* X + 0 == 0 + X == X */
+      if (is_zero(value1_in)) {
+        try_bypass_or_make_constant(value2_in);
+      }
+      else if (is_zero(value2_in)) {
+        try_bypass_or_make_constant(value1_in);
+      }
+      break;
+    case NODE_MATH_SUBTRACT:
+      /* X - 0 == X */
+      if (is_zero(value2_in)) {
+        try_bypass_or_make_constant(value1_in);
+      }
+      break;
+    case NODE_MATH_MULTIPLY:
+      /* X * 1 == 1 * X == X */
+      if (is_one(value1_in)) {
+        try_bypass_or_make_constant(value2_in);
+      }
+      else if (is_one(value2_in)) {
+        try_bypass_or_make_constant(value1_in);
+      }
+      /* X * 0 == 0 * X == 0 */
+      else if (is_zero(value1_in) || is_zero(value2_in)) {
+        make_zero();
+      }
+      break;
+    case NODE_MATH_DIVIDE:
+      /* X / 1 == X */
+      if (is_one(value2_in)) {
+        try_bypass_or_make_constant(value1_in);
+      }
+      /* 0 / X == 0 */
+      else if (is_zero(value1_in)) {
+        make_zero();
+      }
+      break;
+    case NODE_MATH_POWER:
+      /* 1 ^ X == X ^ 0 == 1 */
+      if (is_one(value1_in) || is_zero(value2_in)) {
+        make_one();
+      }
+      /* X ^ 1 == X */
+      else if (is_one(value2_in)) {
+        try_bypass_or_make_constant(value1_in);
+      }
+    default:
+      break;
+  }
+}
+
+void ConstantFolder::fold_vector_math(NodeVectorMathType type) const
+{
+  ShaderInput *vector1_in = node->input("Vector1");
+  ShaderInput *vector2_in = node->input("Vector2");
+  ShaderInput *scale_in = node->input("Scale");
+
+  switch (type) {
+    case NODE_VECTOR_MATH_ADD:
+      /* X + 0 == 0 + X == X */
+      if (is_zero(vector1_in)) {
+        try_bypass_or_make_constant(vector2_in);
+      }
+      else if (is_zero(vector2_in)) {
+        try_bypass_or_make_constant(vector1_in);
+      }
+      break;
+    case NODE_VECTOR_MATH_SUBTRACT:
+      /* X - 0 == X */
+      if (is_zero(vector2_in)) {
+        try_bypass_or_make_constant(vector1_in);
+      }
+      break;
+    case NODE_VECTOR_MATH_MULTIPLY:
+      /* X * 0 == 0 * X == 0 */
+      if (is_zero(vector1_in) || is_zero(vector2_in)) {
+        make_zero();
+      } /* X * 1 == 1 * X == X */
+      else if (is_one(vector1_in)) {
+        try_bypass_or_make_constant(vector2_in);
+      }
+      else if (is_one(vector2_in)) {
+        try_bypass_or_make_constant(vector1_in);
+      }
+      break;
+    case NODE_VECTOR_MATH_DIVIDE:
+      /* X / 0 == 0 / X == 0 */
+      if (is_zero(vector1_in) || is_zero(vector2_in)) {
+        make_zero();
+      } /* X / 1 == X */
+      else if (is_one(vector2_in)) {
+        try_bypass_or_make_constant(vector1_in);
+      }
+      break;
+    case NODE_VECTOR_MATH_DOT_PRODUCT:
+    case NODE_VECTOR_MATH_CROSS_PRODUCT:
+      /* X * 0 == 0 * X == 0 */
+      if (is_zero(vector1_in) || is_zero(vector2_in)) {
+        make_zero();
+      }
+      break;
+    case NODE_VECTOR_MATH_LENGTH:
+    case NODE_VECTOR_MATH_ABSOLUTE:
+      if (is_zero(vector1_in)) {
+        make_zero();
+      }
+      break;
+    case NODE_VECTOR_MATH_SCALE:
+      /* X * 0 == 0 * X == 0 */
+      if (is_zero(vector1_in) || is_zero(scale_in)) {
+        make_zero();
+      } /* X * 1 == X */
+      else if (is_one(scale_in)) {
+        try_bypass_or_make_constant(vector1_in);
+      }
+      break;
+    default:
+      break;
+  }
+}
+
+void ConstantFolder::fold_mapping(NodeMappingType type) const
+{
+  ShaderInput *vector_in = node->input("Vector");
+  ShaderInput *location_in = node->input("Location");
+  ShaderInput *rotation_in = node->input("Rotation");
+  ShaderInput *scale_in = node->input("Scale");
+
+  if (is_zero(scale_in)) {
+    make_zero();
+  }
+  else if ((is_zero(location_in) || type == NODE_MAPPING_TYPE_VECTOR ||
+            type == NODE_MAPPING_TYPE_NORMAL) &&
+           is_zero(rotation_in) && is_one(scale_in)) {
+    try_bypass_or_make_constant(vector_in);
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/constant_fold.h b/intern/cycles/scene/constant_fold.h
new file mode 100644
index 00000000000..fec4123c361
--- /dev/null
+++ b/intern/cycles/scene/constant_fold.h
@@ -0,0 +1,74 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __CONSTANT_FOLD_H__
+#define __CONSTANT_FOLD_H__
+
+#include "kernel/svm/svm_types.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Scene;
+class ShaderGraph;
+class ShaderInput;
+class ShaderNode;
+class ShaderOutput;
+
+class ConstantFolder {
+ public:
+  ShaderGraph *const graph;
+  ShaderNode *const node;
+  ShaderOutput *const output;
+
+  Scene *scene;
+
+  ConstantFolder(ShaderGraph *graph, ShaderNode *node, ShaderOutput *output, Scene *scene);
+
+  bool all_inputs_constant() const;
+
+  /* Constant folding helpers */
+  void make_constant(float value) const;
+  void make_constant(float3 value) const;
+  void make_constant_clamp(float value, bool clamp) const;
+  void make_constant_clamp(float3 value, bool clamp) const;
+  void make_zero() const;
+  void make_one() const;
+
+  /* Bypass node, relinking to another output socket. */
+  void bypass(ShaderOutput *output) const;
+
+  /* For closure nodes, discard node entirely or bypass to one of its inputs. */
+  void discard() const;
+  void bypass_or_discard(ShaderInput *input) const;
+
+  /* Bypass or make constant, unless we can't due to clamp being true. */
+  bool try_bypass_or_make_constant(ShaderInput *input, bool clamp = false) const;
+
+  /* Test if shader inputs of the current nodes have fixed values. */
+  bool is_zero(ShaderInput *input) const;
+  bool is_one(ShaderInput *input) const;
+
+  /* Specific nodes. */
+  void fold_mix(NodeMix type, bool clamp) const;
+  void fold_math(NodeMathType type) const;
+  void fold_vector_math(NodeVectorMathType type) const;
+  void fold_mapping(NodeMappingType type) const;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __CONSTANT_FOLD_H__ */
diff --git a/intern/cycles/scene/curves.cpp b/intern/cycles/scene/curves.cpp
new file mode 100644
index 00000000000..6e45905d367
--- /dev/null
+++ b/intern/cycles/scene/curves.cpp
@@ -0,0 +1,79 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/curves.h"
+#include "device/device.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+
+#include "util/util_foreach.h"
+#include "util/util_map.h"
+#include "util/util_progress.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Curve functions */
+
+void curvebounds(float *lower, float *upper, float3 *p, int dim)
+{
+  float *p0 = &p[0].x;
+  float *p1 = &p[1].x;
+  float *p2 = &p[2].x;
+  float *p3 = &p[3].x;
+
+  /* Catmull-Rom weights. */
+  float curve_coef[4];
+  curve_coef[0] = p1[dim];
+  curve_coef[1] = 0.5f * (-p0[dim] + p2[dim]);
+  curve_coef[2] = 0.5f * (2 * p0[dim] - 5 * p1[dim] + 4 * p2[dim] - p3[dim]);
+  curve_coef[3] = 0.5f * (-p0[dim] + 3 * p1[dim] - 3 * p2[dim] + p3[dim]);
+
+  float discroot = curve_coef[2] * curve_coef[2] - 3 * curve_coef[3] * curve_coef[1];
+  float ta = -1.0f;
+  float tb = -1.0f;
+
+  if (discroot >= 0) {
+    discroot = sqrtf(discroot);
+    ta = (-curve_coef[2] - discroot) / (3 * curve_coef[3]);
+    tb = (-curve_coef[2] + discroot) / (3 * curve_coef[3]);
+    ta = (ta > 1.0f || ta < 0.0f) ? -1.0f : ta;
+    tb = (tb > 1.0f || tb < 0.0f) ? -1.0f : tb;
+  }
+
+  *upper = max(p1[dim], p2[dim]);
+  *lower = min(p1[dim], p2[dim]);
+
+  float exa = p1[dim];
+  float exb = p2[dim];
+
+  if (ta >= 0.0f) {
+    float t2 = ta * ta;
+    float t3 = t2 * ta;
+    exa = curve_coef[3] * t3 + curve_coef[2] * t2 + curve_coef[1] * ta + curve_coef[0];
+  }
+  if (tb >= 0.0f) {
+    float t2 = tb * tb;
+    float t3 = t2 * tb;
+    exb = curve_coef[3] * t3 + curve_coef[2] * t2 + curve_coef[1] * tb + curve_coef[0];
+  }
+
+  *upper = max(*upper, max(exa, exb));
+  *lower = min(*lower, min(exa, exb));
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/curves.h b/intern/cycles/scene/curves.h
new file mode 100644
index 00000000000..9b0e2a29977
--- /dev/null
+++ b/intern/cycles/scene/curves.h
@@ -0,0 +1,61 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __CURVES_H__
+#define __CURVES_H__
+
+#include "util/util_array.h"
+#include "util/util_types.h"
+
+#include "scene/hair.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Progress;
+class Scene;
+
+void curvebounds(float *lower, float *upper, float3 *p, int dim);
+
+class ParticleCurveData {
+
+ public:
+  ParticleCurveData();
+  ~ParticleCurveData();
+
+  array<int> psys_firstcurve;
+  array<int> psys_curvenum;
+  array<int> psys_shader;
+
+  array<float> psys_rootradius;
+  array<float> psys_tipradius;
+  array<float> psys_shape;
+  array<bool> psys_closetip;
+
+  array<int> curve_firstkey;
+  array<int> curve_keynum;
+  array<float> curve_length;
+  array<float2> curve_uv;
+  array<float4> curve_vcol;
+
+  array<float3> curvekey_co;
+  array<float> curvekey_time;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __CURVES_H__ */
diff --git a/intern/cycles/scene/film.cpp b/intern/cycles/scene/film.cpp
new file mode 100644
index 00000000000..3f91e0321b2
--- /dev/null
+++ b/intern/cycles/scene/film.cpp
@@ -0,0 +1,692 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/film.h"
+#include "device/device.h"
+#include "scene/background.h"
+#include "scene/bake.h"
+#include "scene/camera.h"
+#include "scene/integrator.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/stats.h"
+#include "scene/tables.h"
+
+#include "util/util_algorithm.h"
+#include "util/util_foreach.h"
+#include "util/util_math.h"
+#include "util/util_math_cdf.h"
+#include "util/util_time.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Pixel Filter */
+
+static float filter_func_box(float /*v*/, float /*width*/)
+{
+  return 1.0f;
+}
+
+static float filter_func_gaussian(float v, float width)
+{
+  v *= 6.0f / width;
+  return expf(-2.0f * v * v);
+}
+
+static float filter_func_blackman_harris(float v, float width)
+{
+  v = M_2PI_F * (v / width + 0.5f);
+  return 0.35875f - 0.48829f * cosf(v) + 0.14128f * cosf(2.0f * v) - 0.01168f * cosf(3.0f * v);
+}
+
+static vector<float> filter_table(FilterType type, float width)
+{
+  vector<float> filter_table(FILTER_TABLE_SIZE);
+  float (*filter_func)(float, float) = NULL;
+
+  switch (type) {
+    case FILTER_BOX:
+      filter_func = filter_func_box;
+      break;
+    case FILTER_GAUSSIAN:
+      filter_func = filter_func_gaussian;
+      width *= 3.0f;
+      break;
+    case FILTER_BLACKMAN_HARRIS:
+      filter_func = filter_func_blackman_harris;
+      width *= 2.0f;
+      break;
+    default:
+      assert(0);
+  }
+
+  /* Create importance sampling table. */
+
+  /* TODO(sergey): With the even filter table size resolution we can not
+   * really make it nice symmetric importance map without sampling full range
+   * (meaning, we would need to sample full filter range and not use the
+   * make_symmetric argument).
+   *
+   * Current code matches exactly initial filter table code, but we should
+   * consider either making FILTER_TABLE_SIZE odd value or sample full filter.
+   */
+
+  util_cdf_inverted(FILTER_TABLE_SIZE,
+                    0.0f,
+                    width * 0.5f,
+                    function_bind(filter_func, _1, width),
+                    true,
+                    filter_table);
+
+  return filter_table;
+}
+
+/* Film */
+
+NODE_DEFINE(Film)
+{
+  NodeType *type = NodeType::add("film", create);
+
+  SOCKET_FLOAT(exposure, "Exposure", 0.8f);
+  SOCKET_FLOAT(pass_alpha_threshold, "Pass Alpha Threshold", 0.0f);
+
+  static NodeEnum filter_enum;
+  filter_enum.insert("box", FILTER_BOX);
+  filter_enum.insert("gaussian", FILTER_GAUSSIAN);
+  filter_enum.insert("blackman_harris", FILTER_BLACKMAN_HARRIS);
+
+  SOCKET_ENUM(filter_type, "Filter Type", filter_enum, FILTER_BOX);
+  SOCKET_FLOAT(filter_width, "Filter Width", 1.0f);
+
+  SOCKET_FLOAT(mist_start, "Mist Start", 0.0f);
+  SOCKET_FLOAT(mist_depth, "Mist Depth", 100.0f);
+  SOCKET_FLOAT(mist_falloff, "Mist Falloff", 1.0f);
+
+  const NodeEnum *pass_type_enum = Pass::get_type_enum();
+  SOCKET_ENUM(display_pass, "Display Pass", *pass_type_enum, PASS_COMBINED);
+
+  SOCKET_BOOLEAN(show_active_pixels, "Show Active Pixels", false);
+
+  static NodeEnum cryptomatte_passes_enum;
+  cryptomatte_passes_enum.insert("none", CRYPT_NONE);
+  cryptomatte_passes_enum.insert("object", CRYPT_OBJECT);
+  cryptomatte_passes_enum.insert("material", CRYPT_MATERIAL);
+  cryptomatte_passes_enum.insert("asset", CRYPT_ASSET);
+  cryptomatte_passes_enum.insert("accurate", CRYPT_ACCURATE);
+  SOCKET_ENUM(cryptomatte_passes, "Cryptomatte Passes", cryptomatte_passes_enum, CRYPT_NONE);
+
+  SOCKET_INT(cryptomatte_depth, "Cryptomatte Depth", 0);
+
+  SOCKET_BOOLEAN(use_approximate_shadow_catcher, "Use Approximate Shadow Catcher", false);
+
+  return type;
+}
+
+Film::Film() : Node(get_node_type()), filter_table_offset_(TABLE_OFFSET_INVALID)
+{
+}
+
+Film::~Film()
+{
+}
+
+void Film::add_default(Scene *scene)
+{
+  Pass *pass = scene->create_node<Pass>();
+  pass->set_type(PASS_COMBINED);
+}
+
+void Film::device_update(Device *device, DeviceScene *dscene, Scene *scene)
+{
+  if (!is_modified())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->film.times.add_entry({"update", time});
+    }
+  });
+
+  device_free(device, dscene, scene);
+
+  KernelFilm *kfilm = &dscene->data.film;
+
+  /* update __data */
+  kfilm->exposure = exposure;
+  kfilm->pass_alpha_threshold = pass_alpha_threshold;
+  kfilm->pass_flag = 0;
+
+  kfilm->use_approximate_shadow_catcher = get_use_approximate_shadow_catcher();
+
+  kfilm->light_pass_flag = 0;
+  kfilm->pass_stride = 0;
+
+  /* Mark with PASS_UNUSED to avoid mask test in the kernel. */
+  kfilm->pass_background = PASS_UNUSED;
+  kfilm->pass_emission = PASS_UNUSED;
+  kfilm->pass_ao = PASS_UNUSED;
+  kfilm->pass_diffuse_direct = PASS_UNUSED;
+  kfilm->pass_diffuse_indirect = PASS_UNUSED;
+  kfilm->pass_glossy_direct = PASS_UNUSED;
+  kfilm->pass_glossy_indirect = PASS_UNUSED;
+  kfilm->pass_transmission_direct = PASS_UNUSED;
+  kfilm->pass_transmission_indirect = PASS_UNUSED;
+  kfilm->pass_volume_direct = PASS_UNUSED;
+  kfilm->pass_volume_indirect = PASS_UNUSED;
+  kfilm->pass_volume_direct = PASS_UNUSED;
+  kfilm->pass_volume_indirect = PASS_UNUSED;
+  kfilm->pass_shadow = PASS_UNUSED;
+
+  /* Mark passes as unused so that the kernel knows the pass is inaccessible. */
+  kfilm->pass_denoising_normal = PASS_UNUSED;
+  kfilm->pass_denoising_albedo = PASS_UNUSED;
+  kfilm->pass_sample_count = PASS_UNUSED;
+  kfilm->pass_adaptive_aux_buffer = PASS_UNUSED;
+  kfilm->pass_shadow_catcher = PASS_UNUSED;
+  kfilm->pass_shadow_catcher_sample_count = PASS_UNUSED;
+  kfilm->pass_shadow_catcher_matte = PASS_UNUSED;
+
+  bool have_cryptomatte = false;
+  bool have_aov_color = false;
+  bool have_aov_value = false;
+
+  for (size_t i = 0; i < scene->passes.size(); i++) {
+    const Pass *pass = scene->passes[i];
+
+    if (pass->get_type() == PASS_NONE || !pass->is_written()) {
+      continue;
+    }
+
+    if (pass->get_mode() == PassMode::DENOISED) {
+      /* Generally we only storing offsets of the noisy passes. The display pass is an exception
+       * since it is a read operation and not a write. */
+      kfilm->pass_stride += pass->get_info().num_components;
+      continue;
+    }
+
+    /* Can't do motion pass if no motion vectors are available. */
+    if (pass->get_type() == PASS_MOTION || pass->get_type() == PASS_MOTION_WEIGHT) {
+      if (scene->need_motion() != Scene::MOTION_PASS) {
+        kfilm->pass_stride += pass->get_info().num_components;
+        continue;
+      }
+    }
+
+    const int pass_flag = (1 << (pass->get_type() % 32));
+    if (pass->get_type() <= PASS_CATEGORY_LIGHT_END) {
+      kfilm->light_pass_flag |= pass_flag;
+    }
+    else if (pass->get_type() <= PASS_CATEGORY_DATA_END) {
+      kfilm->pass_flag |= pass_flag;
+    }
+    else {
+      assert(pass->get_type() <= PASS_CATEGORY_BAKE_END);
+    }
+
+    switch (pass->get_type()) {
+      case PASS_COMBINED:
+        kfilm->pass_combined = kfilm->pass_stride;
+        break;
+      case PASS_DEPTH:
+        kfilm->pass_depth = kfilm->pass_stride;
+        break;
+      case PASS_NORMAL:
+        kfilm->pass_normal = kfilm->pass_stride;
+        break;
+      case PASS_POSITION:
+        kfilm->pass_position = kfilm->pass_stride;
+        break;
+      case PASS_ROUGHNESS:
+        kfilm->pass_roughness = kfilm->pass_stride;
+        break;
+      case PASS_UV:
+        kfilm->pass_uv = kfilm->pass_stride;
+        break;
+      case PASS_MOTION:
+        kfilm->pass_motion = kfilm->pass_stride;
+        break;
+      case PASS_MOTION_WEIGHT:
+        kfilm->pass_motion_weight = kfilm->pass_stride;
+        break;
+      case PASS_OBJECT_ID:
+        kfilm->pass_object_id = kfilm->pass_stride;
+        break;
+      case PASS_MATERIAL_ID:
+        kfilm->pass_material_id = kfilm->pass_stride;
+        break;
+
+      case PASS_MIST:
+        kfilm->pass_mist = kfilm->pass_stride;
+        break;
+      case PASS_EMISSION:
+        kfilm->pass_emission = kfilm->pass_stride;
+        break;
+      case PASS_BACKGROUND:
+        kfilm->pass_background = kfilm->pass_stride;
+        break;
+      case PASS_AO:
+        kfilm->pass_ao = kfilm->pass_stride;
+        break;
+      case PASS_SHADOW:
+        kfilm->pass_shadow = kfilm->pass_stride;
+        break;
+
+      case PASS_DIFFUSE_COLOR:
+        kfilm->pass_diffuse_color = kfilm->pass_stride;
+        break;
+      case PASS_GLOSSY_COLOR:
+        kfilm->pass_glossy_color = kfilm->pass_stride;
+        break;
+      case PASS_TRANSMISSION_COLOR:
+        kfilm->pass_transmission_color = kfilm->pass_stride;
+        break;
+      case PASS_DIFFUSE_INDIRECT:
+        kfilm->pass_diffuse_indirect = kfilm->pass_stride;
+        break;
+      case PASS_GLOSSY_INDIRECT:
+        kfilm->pass_glossy_indirect = kfilm->pass_stride;
+        break;
+      case PASS_TRANSMISSION_INDIRECT:
+        kfilm->pass_transmission_indirect = kfilm->pass_stride;
+        break;
+      case PASS_VOLUME_INDIRECT:
+        kfilm->pass_volume_indirect = kfilm->pass_stride;
+        break;
+      case PASS_DIFFUSE_DIRECT:
+        kfilm->pass_diffuse_direct = kfilm->pass_stride;
+        break;
+      case PASS_GLOSSY_DIRECT:
+        kfilm->pass_glossy_direct = kfilm->pass_stride;
+        break;
+      case PASS_TRANSMISSION_DIRECT:
+        kfilm->pass_transmission_direct = kfilm->pass_stride;
+        break;
+      case PASS_VOLUME_DIRECT:
+        kfilm->pass_volume_direct = kfilm->pass_stride;
+        break;
+
+      case PASS_BAKE_PRIMITIVE:
+        kfilm->pass_bake_primitive = kfilm->pass_stride;
+        break;
+      case PASS_BAKE_DIFFERENTIAL:
+        kfilm->pass_bake_differential = kfilm->pass_stride;
+        break;
+
+      case PASS_CRYPTOMATTE:
+        kfilm->pass_cryptomatte = have_cryptomatte ?
+                                      min(kfilm->pass_cryptomatte, kfilm->pass_stride) :
+                                      kfilm->pass_stride;
+        have_cryptomatte = true;
+        break;
+
+      case PASS_DENOISING_NORMAL:
+        kfilm->pass_denoising_normal = kfilm->pass_stride;
+        break;
+      case PASS_DENOISING_ALBEDO:
+        kfilm->pass_denoising_albedo = kfilm->pass_stride;
+        break;
+      case PASS_DENOISING_DEPTH:
+        kfilm->pass_denoising_depth = kfilm->pass_stride;
+        break;
+
+      case PASS_SHADOW_CATCHER:
+        kfilm->pass_shadow_catcher = kfilm->pass_stride;
+        break;
+      case PASS_SHADOW_CATCHER_SAMPLE_COUNT:
+        kfilm->pass_shadow_catcher_sample_count = kfilm->pass_stride;
+        break;
+      case PASS_SHADOW_CATCHER_MATTE:
+        kfilm->pass_shadow_catcher_matte = kfilm->pass_stride;
+        break;
+
+      case PASS_ADAPTIVE_AUX_BUFFER:
+        kfilm->pass_adaptive_aux_buffer = kfilm->pass_stride;
+        break;
+      case PASS_SAMPLE_COUNT:
+        kfilm->pass_sample_count = kfilm->pass_stride;
+        break;
+
+      case PASS_AOV_COLOR:
+        if (!have_aov_color) {
+          kfilm->pass_aov_color = kfilm->pass_stride;
+          have_aov_color = true;
+        }
+        break;
+      case PASS_AOV_VALUE:
+        if (!have_aov_value) {
+          kfilm->pass_aov_value = kfilm->pass_stride;
+          have_aov_value = true;
+        }
+        break;
+      default:
+        assert(false);
+        break;
+    }
+
+    kfilm->pass_stride += pass->get_info().num_components;
+  }
+
+  /* update filter table */
+  vector<float> table = filter_table(filter_type, filter_width);
+  scene->lookup_tables->remove_table(&filter_table_offset_);
+  filter_table_offset_ = scene->lookup_tables->add_table(dscene, table);
+  kfilm->filter_table_offset = (int)filter_table_offset_;
+
+  /* mist pass parameters */
+  kfilm->mist_start = mist_start;
+  kfilm->mist_inv_depth = (mist_depth > 0.0f) ? 1.0f / mist_depth : 0.0f;
+  kfilm->mist_falloff = mist_falloff;
+
+  kfilm->cryptomatte_passes = cryptomatte_passes;
+  kfilm->cryptomatte_depth = cryptomatte_depth;
+
+  clear_modified();
+}
+
+void Film::device_free(Device * /*device*/, DeviceScene * /*dscene*/, Scene *scene)
+{
+  scene->lookup_tables->remove_table(&filter_table_offset_);
+}
+
+int Film::get_aov_offset(Scene *scene, string name, bool &is_color)
+{
+  int offset_color = 0, offset_value = 0;
+  foreach (const Pass *pass, scene->passes) {
+    if (pass->get_name() == name) {
+      if (pass->get_type() == PASS_AOV_VALUE) {
+        is_color = false;
+        return offset_value;
+      }
+      else if (pass->get_type() == PASS_AOV_COLOR) {
+        is_color = true;
+        return offset_color;
+      }
+    }
+
+    if (pass->get_type() == PASS_AOV_VALUE) {
+      offset_value += pass->get_info().num_components;
+    }
+    else if (pass->get_type() == PASS_AOV_COLOR) {
+      offset_color += pass->get_info().num_components;
+    }
+  }
+
+  return -1;
+}
+
+void Film::update_passes(Scene *scene, bool add_sample_count_pass)
+{
+  const Background *background = scene->background;
+  const BakeManager *bake_manager = scene->bake_manager;
+  const ObjectManager *object_manager = scene->object_manager;
+  Integrator *integrator = scene->integrator;
+
+  if (!is_modified() && !object_manager->need_update() && !integrator->is_modified() &&
+      !background->is_modified()) {
+    return;
+  }
+
+  /* Remove auto generated passes and recreate them. */
+  remove_auto_passes(scene);
+
+  /* Display pass for viewport. */
+  const PassType display_pass = get_display_pass();
+  add_auto_pass(scene, display_pass);
+
+  /* Assumption is that a combined pass always exists for now, for example
+   * adaptive sampling is always based on a combined pass. But we should
+   * try to lift this limitation in the future for faster rendering of
+   * individual passes. */
+  if (display_pass != PASS_COMBINED) {
+    add_auto_pass(scene, PASS_COMBINED);
+  }
+
+  /* Create passes needed for adaptive sampling. */
+  const AdaptiveSampling adaptive_sampling = integrator->get_adaptive_sampling();
+  if (adaptive_sampling.use) {
+    add_auto_pass(scene, PASS_SAMPLE_COUNT);
+    add_auto_pass(scene, PASS_ADAPTIVE_AUX_BUFFER);
+  }
+
+  /* Create passes needed for denoising. */
+  const bool use_denoise = integrator->get_use_denoise();
+  if (use_denoise) {
+    if (integrator->get_use_denoise_pass_normal()) {
+      add_auto_pass(scene, PASS_DENOISING_NORMAL);
+    }
+    if (integrator->get_use_denoise_pass_albedo()) {
+      add_auto_pass(scene, PASS_DENOISING_ALBEDO);
+    }
+  }
+
+  /* Create passes for shadow catcher. */
+  if (scene->has_shadow_catcher()) {
+    const bool need_background = get_use_approximate_shadow_catcher() &&
+                                 !background->get_transparent();
+
+    add_auto_pass(scene, PASS_SHADOW_CATCHER);
+    add_auto_pass(scene, PASS_SHADOW_CATCHER_SAMPLE_COUNT);
+    add_auto_pass(scene, PASS_SHADOW_CATCHER_MATTE);
+
+    if (need_background) {
+      add_auto_pass(scene, PASS_BACKGROUND);
+    }
+  }
+  else if (Pass::contains(scene->passes, PASS_SHADOW_CATCHER)) {
+    add_auto_pass(scene, PASS_SHADOW_CATCHER);
+    add_auto_pass(scene, PASS_SHADOW_CATCHER_SAMPLE_COUNT);
+  }
+
+  const vector<Pass *> passes_immutable = scene->passes;
+  for (const Pass *pass : passes_immutable) {
+    const PassInfo info = pass->get_info();
+    /* Add utility passes needed to generate some light passes. */
+    if (info.divide_type != PASS_NONE) {
+      add_auto_pass(scene, info.divide_type);
+    }
+    if (info.direct_type != PASS_NONE) {
+      add_auto_pass(scene, info.direct_type);
+    }
+    if (info.indirect_type != PASS_NONE) {
+      add_auto_pass(scene, info.indirect_type);
+    }
+
+    /* NOTE: Enable all denoised passes when storage is requested.
+     * This way it is possible to tweak denoiser parameters later on. */
+    if (info.support_denoise && use_denoise) {
+      add_auto_pass(scene, pass->get_type(), PassMode::DENOISED);
+    }
+  }
+
+  if (bake_manager->get_baking()) {
+    add_auto_pass(scene, PASS_BAKE_PRIMITIVE, "BakePrimitive");
+    add_auto_pass(scene, PASS_BAKE_DIFFERENTIAL, "BakeDifferential");
+  }
+
+  if (add_sample_count_pass) {
+    if (!Pass::contains(scene->passes, PASS_SAMPLE_COUNT)) {
+      add_auto_pass(scene, PASS_SAMPLE_COUNT);
+    }
+  }
+
+  /* Remove duplicates and initialize internal pass info. */
+  finalize_passes(scene, use_denoise);
+
+  /* Flush scene updates. */
+  const bool have_uv_pass = Pass::contains(scene->passes, PASS_UV);
+  const bool have_motion_pass = Pass::contains(scene->passes, PASS_MOTION);
+  const bool have_ao_pass = Pass::contains(scene->passes, PASS_AO);
+
+  if (have_uv_pass != prev_have_uv_pass) {
+    scene->geometry_manager->tag_update(scene, GeometryManager::UV_PASS_NEEDED);
+    foreach (Shader *shader, scene->shaders)
+      shader->need_update_uvs = true;
+  }
+  if (have_motion_pass != prev_have_motion_pass) {
+    scene->geometry_manager->tag_update(scene, GeometryManager::MOTION_PASS_NEEDED);
+  }
+  if (have_ao_pass != prev_have_ao_pass) {
+    scene->integrator->tag_update(scene, Integrator::AO_PASS_MODIFIED);
+  }
+
+  prev_have_uv_pass = have_uv_pass;
+  prev_have_motion_pass = have_motion_pass;
+  prev_have_ao_pass = have_ao_pass;
+
+  tag_modified();
+
+  /* Debug logging. */
+  if (VLOG_IS_ON(2)) {
+    VLOG(2) << "Effective scene passes:";
+    for (const Pass *pass : scene->passes) {
+      VLOG(2) << "- " << *pass;
+    }
+  }
+}
+
+void Film::add_auto_pass(Scene *scene, PassType type, const char *name)
+{
+  add_auto_pass(scene, type, PassMode::NOISY, name);
+}
+
+void Film::add_auto_pass(Scene *scene, PassType type, PassMode mode, const char *name)
+{
+  Pass *pass = new Pass();
+  pass->set_type(type);
+  pass->set_mode(mode);
+  pass->set_name(ustring((name) ? name : ""));
+  pass->is_auto_ = true;
+
+  pass->set_owner(scene);
+  scene->passes.push_back(pass);
+}
+
+void Film::remove_auto_passes(Scene *scene)
+{
+  /* Remove all passes which were automatically created. */
+  vector<Pass *> new_passes;
+
+  for (Pass *pass : scene->passes) {
+    if (!pass->is_auto_) {
+      new_passes.push_back(pass);
+    }
+    else {
+      delete pass;
+    }
+  }
+
+  scene->passes = new_passes;
+}
+
+static bool compare_pass_order(const Pass *a, const Pass *b)
+{
+  const int num_components_a = a->get_info().num_components;
+  const int num_components_b = b->get_info().num_components;
+
+  if (num_components_a == num_components_b) {
+    return (a->get_type() < b->get_type());
+  }
+
+  return num_components_a > num_components_b;
+}
+
+void Film::finalize_passes(Scene *scene, const bool use_denoise)
+{
+  /* Remove duplicate passes. */
+  vector<Pass *> new_passes;
+
+  for (Pass *pass : scene->passes) {
+    /* Disable denoising on passes if denoising is disabled, or if the
+     * pass does not support it. */
+    pass->set_mode((use_denoise && pass->get_info().support_denoise) ? pass->get_mode() :
+                                                                       PassMode::NOISY);
+
+    /* Merge duplicate passes. */
+    bool duplicate_found = false;
+    for (Pass *new_pass : new_passes) {
+      /* If different type or denoising, don't merge. */
+      if (new_pass->get_type() != pass->get_type() || new_pass->get_mode() != pass->get_mode()) {
+        continue;
+      }
+
+      /* If both passes have a name and the names are different, don't merge.
+       * If either pass has a name, we'll use that name. */
+      if (!pass->get_name().empty() && !new_pass->get_name().empty() &&
+          pass->get_name() != new_pass->get_name()) {
+        continue;
+      }
+
+      if (!pass->get_name().empty() && new_pass->get_name().empty()) {
+        new_pass->set_name(pass->get_name());
+      }
+
+      new_pass->is_auto_ &= pass->is_auto_;
+      duplicate_found = true;
+      break;
+    }
+
+    if (!duplicate_found) {
+      new_passes.push_back(pass);
+    }
+    else {
+      delete pass;
+    }
+  }
+
+  /* Order from by components and type, This is required to for AOVs and cryptomatte passes,
+   * which the kernel assumes to be in order. Note this must use stable sort so cryptomatte
+   * passes remain in the right order. */
+  stable_sort(new_passes.begin(), new_passes.end(), compare_pass_order);
+
+  scene->passes = new_passes;
+}
+
+uint Film::get_kernel_features(const Scene *scene) const
+{
+  uint kernel_features = 0;
+
+  for (const Pass *pass : scene->passes) {
+    if (!pass->is_written()) {
+      continue;
+    }
+
+    const PassType pass_type = pass->get_type();
+    const PassMode pass_mode = pass->get_mode();
+
+    if (pass_mode == PassMode::DENOISED || pass_type == PASS_DENOISING_NORMAL ||
+        pass_type == PASS_DENOISING_ALBEDO || pass_type == PASS_DENOISING_DEPTH) {
+      kernel_features |= KERNEL_FEATURE_DENOISING;
+    }
+
+    if (pass_type != PASS_NONE && pass_type != PASS_COMBINED &&
+        pass_type <= PASS_CATEGORY_LIGHT_END) {
+      kernel_features |= KERNEL_FEATURE_LIGHT_PASSES;
+
+      if (pass_type == PASS_SHADOW) {
+        kernel_features |= KERNEL_FEATURE_SHADOW_PASS;
+      }
+    }
+
+    if (pass_type == PASS_AO) {
+      kernel_features |= KERNEL_FEATURE_AO_PASS;
+    }
+  }
+
+  return kernel_features;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/film.h b/intern/cycles/scene/film.h
new file mode 100644
index 00000000000..ede0d6298a6
--- /dev/null
+++ b/intern/cycles/scene/film.h
@@ -0,0 +1,100 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __FILM_H__
+#define __FILM_H__
+
+#include "scene/pass.h"
+#include "util/util_string.h"
+#include "util/util_vector.h"
+
+#include "kernel/kernel_types.h"
+
+#include "graph/node.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Scene;
+
+typedef enum FilterType {
+  FILTER_BOX,
+  FILTER_GAUSSIAN,
+  FILTER_BLACKMAN_HARRIS,
+
+  FILTER_NUM_TYPES,
+} FilterType;
+
+class Film : public Node {
+ public:
+  NODE_DECLARE
+
+  NODE_SOCKET_API(float, exposure)
+  NODE_SOCKET_API(float, pass_alpha_threshold)
+
+  NODE_SOCKET_API(PassType, display_pass)
+  NODE_SOCKET_API(bool, show_active_pixels)
+
+  NODE_SOCKET_API(FilterType, filter_type)
+  NODE_SOCKET_API(float, filter_width)
+
+  NODE_SOCKET_API(float, mist_start)
+  NODE_SOCKET_API(float, mist_depth)
+  NODE_SOCKET_API(float, mist_falloff)
+
+  NODE_SOCKET_API(CryptomatteType, cryptomatte_passes)
+  NODE_SOCKET_API(int, cryptomatte_depth)
+
+  /* Approximate shadow catcher pass into its matte pass, so that both artificial objects and
+   * shadows can be alpha-overed onto a backdrop. */
+  NODE_SOCKET_API(bool, use_approximate_shadow_catcher)
+
+ private:
+  size_t filter_table_offset_;
+  bool prev_have_uv_pass = false;
+  bool prev_have_motion_pass = false;
+  bool prev_have_ao_pass = false;
+
+ public:
+  Film();
+  ~Film();
+
+  /* add default passes to scene */
+  static void add_default(Scene *scene);
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
+  void device_free(Device *device, DeviceScene *dscene, Scene *scene);
+
+  int get_aov_offset(Scene *scene, string name, bool &is_color);
+
+  /* Update passes so that they contain all passes required for the configured functionality.
+   *
+   * If `add_sample_count_pass` is true then the SAMPLE_COUNT pass is ensured to be added. */
+  void update_passes(Scene *scene, bool add_sample_count_pass);
+
+  uint get_kernel_features(const Scene *scene) const;
+
+ private:
+  void add_auto_pass(Scene *scene, PassType type, const char *name = nullptr);
+  void add_auto_pass(Scene *scene, PassType type, PassMode mode, const char *name = nullptr);
+  void remove_auto_passes(Scene *scene);
+  void finalize_passes(Scene *scene, const bool use_denoise);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __FILM_H__ */
diff --git a/intern/cycles/scene/geometry.cpp b/intern/cycles/scene/geometry.cpp
new file mode 100644
index 00000000000..9fe34ac6e99
--- /dev/null
+++ b/intern/cycles/scene/geometry.cpp
@@ -0,0 +1,2074 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "bvh/bvh.h"
+#include "bvh/bvh2.h"
+
+#include "device/device.h"
+
+#include "scene/attribute.h"
+#include "scene/camera.h"
+#include "scene/geometry.h"
+#include "scene/hair.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_nodes.h"
+#include "scene/stats.h"
+#include "scene/volume.h"
+
+#include "subd/subd_patch_table.h"
+#include "subd/subd_split.h"
+
+#include "kernel/osl/osl_globals.h"
+
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_progress.h"
+#include "util/util_task.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Geometry */
+
+NODE_ABSTRACT_DEFINE(Geometry)
+{
+  NodeType *type = NodeType::add("geometry_base", NULL);
+
+  SOCKET_UINT(motion_steps, "Motion Steps", 3);
+  SOCKET_BOOLEAN(use_motion_blur, "Use Motion Blur", false);
+  SOCKET_NODE_ARRAY(used_shaders, "Shaders", Shader::get_node_type());
+
+  return type;
+}
+
+Geometry::Geometry(const NodeType *node_type, const Type type)
+    : Node(node_type), geometry_type(type), attributes(this, ATTR_PRIM_GEOMETRY)
+{
+  need_update_rebuild = false;
+  need_update_bvh_for_offset = false;
+
+  transform_applied = false;
+  transform_negative_scaled = false;
+  transform_normal = transform_identity();
+  bounds = BoundBox::empty;
+
+  has_volume = false;
+  has_surface_bssrdf = false;
+
+  bvh = NULL;
+  attr_map_offset = 0;
+  prim_offset = 0;
+}
+
+Geometry::~Geometry()
+{
+  dereference_all_used_nodes();
+  delete bvh;
+}
+
+void Geometry::clear(bool preserve_shaders)
+{
+  if (!preserve_shaders)
+    used_shaders.clear();
+
+  transform_applied = false;
+  transform_negative_scaled = false;
+  transform_normal = transform_identity();
+  tag_modified();
+}
+
+bool Geometry::need_attribute(Scene *scene, AttributeStandard std)
+{
+  if (std == ATTR_STD_NONE)
+    return false;
+
+  if (scene->need_global_attribute(std))
+    return true;
+
+  foreach (Node *node, used_shaders) {
+    Shader *shader = static_cast<Shader *>(node);
+    if (shader->attributes.find(std))
+      return true;
+  }
+
+  return false;
+}
+
+bool Geometry::need_attribute(Scene * /*scene*/, ustring name)
+{
+  if (name == ustring())
+    return false;
+
+  foreach (Node *node, used_shaders) {
+    Shader *shader = static_cast<Shader *>(node);
+    if (shader->attributes.find(name))
+      return true;
+  }
+
+  return false;
+}
+
+AttributeRequestSet Geometry::needed_attributes()
+{
+  AttributeRequestSet result;
+
+  foreach (Node *node, used_shaders) {
+    Shader *shader = static_cast<Shader *>(node);
+    result.add(shader->attributes);
+  }
+
+  return result;
+}
+
+float Geometry::motion_time(int step) const
+{
+  return (motion_steps > 1) ? 2.0f * step / (motion_steps - 1) - 1.0f : 0.0f;
+}
+
+int Geometry::motion_step(float time) const
+{
+  if (motion_steps > 1) {
+    int attr_step = 0;
+
+    for (int step = 0; step < motion_steps; step++) {
+      float step_time = motion_time(step);
+      if (step_time == time) {
+        return attr_step;
+      }
+
+      /* Center step is stored in a separate attribute. */
+      if (step != motion_steps / 2) {
+        attr_step++;
+      }
+    }
+  }
+
+  return -1;
+}
+
+bool Geometry::need_build_bvh(BVHLayout layout) const
+{
+  return is_instanced() || layout == BVH_LAYOUT_OPTIX || layout == BVH_LAYOUT_MULTI_OPTIX ||
+         layout == BVH_LAYOUT_MULTI_OPTIX_EMBREE;
+}
+
+bool Geometry::is_instanced() const
+{
+  /* Currently we treat subsurface objects as instanced.
+   *
+   * While it might be not very optimal for ray traversal, it avoids having
+   * duplicated BVH in the memory, saving quite some space.
+   */
+  return !transform_applied || has_surface_bssrdf;
+}
+
+bool Geometry::has_true_displacement() const
+{
+  foreach (Node *node, used_shaders) {
+    Shader *shader = static_cast<Shader *>(node);
+    if (shader->has_displacement && shader->get_displacement_method() != DISPLACE_BUMP) {
+      return true;
+    }
+  }
+
+  return false;
+}
+
+void Geometry::compute_bvh(
+    Device *device, DeviceScene *dscene, SceneParams *params, Progress *progress, int n, int total)
+{
+  if (progress->get_cancel())
+    return;
+
+  compute_bounds();
+
+  const BVHLayout bvh_layout = BVHParams::best_bvh_layout(params->bvh_layout,
+                                                          device->get_bvh_layout_mask());
+  if (need_build_bvh(bvh_layout)) {
+    string msg = "Updating Geometry BVH ";
+    if (name.empty())
+      msg += string_printf("%u/%u", (uint)(n + 1), (uint)total);
+    else
+      msg += string_printf("%s %u/%u", name.c_str(), (uint)(n + 1), (uint)total);
+
+    Object object;
+
+    /* Ensure all visibility bits are set at the geometry level BVH. In
+     * the object level BVH is where actual visibility is tested. */
+    object.set_is_shadow_catcher(true);
+    object.set_visibility(~0);
+
+    object.set_geometry(this);
+
+    vector<Geometry *> geometry;
+    geometry.push_back(this);
+    vector<Object *> objects;
+    objects.push_back(&object);
+
+    if (bvh && !need_update_rebuild) {
+      progress->set_status(msg, "Refitting BVH");
+
+      bvh->geometry = geometry;
+      bvh->objects = objects;
+
+      device->build_bvh(bvh, *progress, true);
+    }
+    else {
+      progress->set_status(msg, "Building BVH");
+
+      BVHParams bparams;
+      bparams.use_spatial_split = params->use_bvh_spatial_split;
+      bparams.bvh_layout = bvh_layout;
+      bparams.use_unaligned_nodes = dscene->data.bvh.have_curves &&
+                                    params->use_bvh_unaligned_nodes;
+      bparams.num_motion_triangle_steps = params->num_bvh_time_steps;
+      bparams.num_motion_curve_steps = params->num_bvh_time_steps;
+      bparams.bvh_type = params->bvh_type;
+      bparams.curve_subdivisions = params->curve_subdivisions();
+
+      delete bvh;
+      bvh = BVH::create(bparams, geometry, objects, device);
+      MEM_GUARDED_CALL(progress, device->build_bvh, bvh, *progress, false);
+    }
+  }
+
+  need_update_rebuild = false;
+  need_update_bvh_for_offset = false;
+}
+
+bool Geometry::has_motion_blur() const
+{
+  return (use_motion_blur && attributes.find(ATTR_STD_MOTION_VERTEX_POSITION));
+}
+
+bool Geometry::has_voxel_attributes() const
+{
+  foreach (const Attribute &attr, attributes.attributes) {
+    if (attr.element == ATTR_ELEMENT_VOXEL) {
+      return true;
+    }
+  }
+
+  return false;
+}
+
+void Geometry::tag_update(Scene *scene, bool rebuild)
+{
+  if (rebuild) {
+    need_update_rebuild = true;
+    scene->light_manager->tag_update(scene, LightManager::MESH_NEED_REBUILD);
+  }
+  else {
+    foreach (Node *node, used_shaders) {
+      Shader *shader = static_cast<Shader *>(node);
+      if (shader->has_surface_emission) {
+        scene->light_manager->tag_update(scene, LightManager::EMISSIVE_MESH_MODIFIED);
+        break;
+      }
+    }
+  }
+
+  scene->geometry_manager->tag_update(scene, GeometryManager::GEOMETRY_MODIFIED);
+}
+
+void Geometry::tag_bvh_update(bool rebuild)
+{
+  tag_modified();
+
+  if (rebuild) {
+    need_update_rebuild = true;
+  }
+}
+
+/* Geometry Manager */
+
+GeometryManager::GeometryManager()
+{
+  update_flags = UPDATE_ALL;
+  need_flags_update = true;
+}
+
+GeometryManager::~GeometryManager()
+{
+}
+
+void GeometryManager::update_osl_attributes(Device *device,
+                                            Scene *scene,
+                                            vector<AttributeRequestSet> &geom_attributes)
+{
+#ifdef WITH_OSL
+  /* for OSL, a hash map is used to lookup the attribute by name. */
+  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
+
+  og->object_name_map.clear();
+  og->attribute_map.clear();
+  og->object_names.clear();
+
+  og->attribute_map.resize(scene->objects.size() * ATTR_PRIM_TYPES);
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    /* set object name to object index map */
+    Object *object = scene->objects[i];
+    og->object_name_map[object->name] = i;
+    og->object_names.push_back(object->name);
+
+    /* set object attributes */
+    foreach (ParamValue &attr, object->attributes) {
+      OSLGlobals::Attribute osl_attr;
+
+      osl_attr.type = attr.type();
+      osl_attr.desc.element = ATTR_ELEMENT_OBJECT;
+      osl_attr.value = attr;
+      osl_attr.desc.offset = 0;
+      osl_attr.desc.flags = 0;
+
+      og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_GEOMETRY][attr.name()] = osl_attr;
+      og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_SUBD][attr.name()] = osl_attr;
+    }
+
+    /* find geometry attributes */
+    size_t j = object->geometry->index;
+    assert(j < scene->geometry.size() && scene->geometry[j] == object->geometry);
+
+    AttributeRequestSet &attributes = geom_attributes[j];
+
+    /* set mesh attributes */
+    foreach (AttributeRequest &req, attributes.requests) {
+      OSLGlobals::Attribute osl_attr;
+
+      if (req.desc.element != ATTR_ELEMENT_NONE) {
+        osl_attr.desc = req.desc;
+
+        if (req.type == TypeDesc::TypeFloat)
+          osl_attr.type = TypeDesc::TypeFloat;
+        else if (req.type == TypeDesc::TypeMatrix)
+          osl_attr.type = TypeDesc::TypeMatrix;
+        else if (req.type == TypeFloat2)
+          osl_attr.type = TypeFloat2;
+        else if (req.type == TypeRGBA)
+          osl_attr.type = TypeRGBA;
+        else
+          osl_attr.type = TypeDesc::TypeColor;
+
+        if (req.std != ATTR_STD_NONE) {
+          /* if standard attribute, add lookup by geom: name convention */
+          ustring stdname(string("geom:") + string(Attribute::standard_name(req.std)));
+          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_GEOMETRY][stdname] = osl_attr;
+        }
+        else if (req.name != ustring()) {
+          /* add lookup by geometry attribute name */
+          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_GEOMETRY][req.name] = osl_attr;
+        }
+      }
+
+      if (req.subd_desc.element != ATTR_ELEMENT_NONE) {
+        osl_attr.desc = req.subd_desc;
+
+        if (req.subd_type == TypeDesc::TypeFloat)
+          osl_attr.type = TypeDesc::TypeFloat;
+        else if (req.subd_type == TypeDesc::TypeMatrix)
+          osl_attr.type = TypeDesc::TypeMatrix;
+        else if (req.subd_type == TypeFloat2)
+          osl_attr.type = TypeFloat2;
+        else if (req.subd_type == TypeRGBA)
+          osl_attr.type = TypeRGBA;
+        else
+          osl_attr.type = TypeDesc::TypeColor;
+
+        if (req.std != ATTR_STD_NONE) {
+          /* if standard attribute, add lookup by geom: name convention */
+          ustring stdname(string("geom:") + string(Attribute::standard_name(req.std)));
+          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_SUBD][stdname] = osl_attr;
+        }
+        else if (req.name != ustring()) {
+          /* add lookup by geometry attribute name */
+          og->attribute_map[i * ATTR_PRIM_TYPES + ATTR_PRIM_SUBD][req.name] = osl_attr;
+        }
+      }
+    }
+  }
+#else
+  (void)device;
+  (void)scene;
+  (void)geom_attributes;
+#endif
+}
+
+/* Generate a normal attribute map entry from an attribute descriptor. */
+static void emit_attribute_map_entry(
+    uint4 *attr_map, int index, uint id, TypeDesc type, const AttributeDescriptor &desc)
+{
+  attr_map[index].x = id;
+  attr_map[index].y = desc.element;
+  attr_map[index].z = as_uint(desc.offset);
+
+  if (type == TypeDesc::TypeFloat)
+    attr_map[index].w = NODE_ATTR_FLOAT;
+  else if (type == TypeDesc::TypeMatrix)
+    attr_map[index].w = NODE_ATTR_MATRIX;
+  else if (type == TypeFloat2)
+    attr_map[index].w = NODE_ATTR_FLOAT2;
+  else if (type == TypeFloat4)
+    attr_map[index].w = NODE_ATTR_FLOAT4;
+  else if (type == TypeRGBA)
+    attr_map[index].w = NODE_ATTR_RGBA;
+  else
+    attr_map[index].w = NODE_ATTR_FLOAT3;
+
+  attr_map[index].w |= desc.flags << 8;
+}
+
+/* Generate an attribute map end marker, optionally including a link to another map.
+ * Links are used to connect object attribute maps to mesh attribute maps. */
+static void emit_attribute_map_terminator(uint4 *attr_map, int index, bool chain, uint chain_link)
+{
+  for (int j = 0; j < ATTR_PRIM_TYPES; j++) {
+    attr_map[index + j].x = ATTR_STD_NONE;
+    attr_map[index + j].y = chain;                      /* link is valid flag */
+    attr_map[index + j].z = chain ? chain_link + j : 0; /* link to the correct sub-entry */
+    attr_map[index + j].w = 0;
+  }
+}
+
+/* Generate all necessary attribute map entries from the attribute request. */
+static void emit_attribute_mapping(
+    uint4 *attr_map, int index, Scene *scene, AttributeRequest &req, Geometry *geom)
+{
+  uint id;
+
+  if (req.std == ATTR_STD_NONE)
+    id = scene->shader_manager->get_attribute_id(req.name);
+  else
+    id = scene->shader_manager->get_attribute_id(req.std);
+
+  emit_attribute_map_entry(attr_map, index, id, req.type, req.desc);
+
+  if (geom->is_mesh()) {
+    Mesh *mesh = static_cast<Mesh *>(geom);
+    if (mesh->get_num_subd_faces()) {
+      emit_attribute_map_entry(attr_map, index + 1, id, req.subd_type, req.subd_desc);
+    }
+  }
+}
+
+void GeometryManager::update_svm_attributes(Device *,
+                                            DeviceScene *dscene,
+                                            Scene *scene,
+                                            vector<AttributeRequestSet> &geom_attributes,
+                                            vector<AttributeRequestSet> &object_attributes)
+{
+  /* for SVM, the attributes_map table is used to lookup the offset of an
+   * attribute, based on a unique shader attribute id. */
+
+  /* compute array stride */
+  int attr_map_size = 0;
+
+  for (size_t i = 0; i < scene->geometry.size(); i++) {
+    Geometry *geom = scene->geometry[i];
+    geom->attr_map_offset = attr_map_size;
+    attr_map_size += (geom_attributes[i].size() + 1) * ATTR_PRIM_TYPES;
+  }
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    Object *object = scene->objects[i];
+
+    /* only allocate a table for the object if it actually has attributes */
+    if (object_attributes[i].size() == 0) {
+      object->attr_map_offset = 0;
+    }
+    else {
+      object->attr_map_offset = attr_map_size;
+      attr_map_size += (object_attributes[i].size() + 1) * ATTR_PRIM_TYPES;
+    }
+  }
+
+  if (attr_map_size == 0)
+    return;
+
+  if (!dscene->attributes_map.need_realloc()) {
+    return;
+  }
+
+  /* create attribute map */
+  uint4 *attr_map = dscene->attributes_map.alloc(attr_map_size);
+  memset(attr_map, 0, dscene->attributes_map.size() * sizeof(uint));
+
+  for (size_t i = 0; i < scene->geometry.size(); i++) {
+    Geometry *geom = scene->geometry[i];
+    AttributeRequestSet &attributes = geom_attributes[i];
+
+    /* set geometry attributes */
+    int index = geom->attr_map_offset;
+
+    foreach (AttributeRequest &req, attributes.requests) {
+      emit_attribute_mapping(attr_map, index, scene, req, geom);
+      index += ATTR_PRIM_TYPES;
+    }
+
+    emit_attribute_map_terminator(attr_map, index, false, 0);
+  }
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    Object *object = scene->objects[i];
+    AttributeRequestSet &attributes = object_attributes[i];
+
+    /* set object attributes */
+    if (attributes.size() > 0) {
+      int index = object->attr_map_offset;
+
+      foreach (AttributeRequest &req, attributes.requests) {
+        emit_attribute_mapping(attr_map, index, scene, req, object->geometry);
+        index += ATTR_PRIM_TYPES;
+      }
+
+      emit_attribute_map_terminator(attr_map, index, true, object->geometry->attr_map_offset);
+    }
+  }
+
+  /* copy to device */
+  dscene->attributes_map.copy_to_device();
+}
+
+static void update_attribute_element_size(Geometry *geom,
+                                          Attribute *mattr,
+                                          AttributePrimitive prim,
+                                          size_t *attr_float_size,
+                                          size_t *attr_float2_size,
+                                          size_t *attr_float3_size,
+                                          size_t *attr_uchar4_size)
+{
+  if (mattr) {
+    size_t size = mattr->element_size(geom, prim);
+
+    if (mattr->element == ATTR_ELEMENT_VOXEL) {
+      /* pass */
+    }
+    else if (mattr->element == ATTR_ELEMENT_CORNER_BYTE) {
+      *attr_uchar4_size += size;
+    }
+    else if (mattr->type == TypeDesc::TypeFloat) {
+      *attr_float_size += size;
+    }
+    else if (mattr->type == TypeFloat2) {
+      *attr_float2_size += size;
+    }
+    else if (mattr->type == TypeDesc::TypeMatrix) {
+      *attr_float3_size += size * 4;
+    }
+    else {
+      *attr_float3_size += size;
+    }
+  }
+}
+
+void GeometryManager::update_attribute_element_offset(Geometry *geom,
+                                                      device_vector<float> &attr_float,
+                                                      size_t &attr_float_offset,
+                                                      device_vector<float2> &attr_float2,
+                                                      size_t &attr_float2_offset,
+                                                      device_vector<float4> &attr_float3,
+                                                      size_t &attr_float3_offset,
+                                                      device_vector<uchar4> &attr_uchar4,
+                                                      size_t &attr_uchar4_offset,
+                                                      Attribute *mattr,
+                                                      AttributePrimitive prim,
+                                                      TypeDesc &type,
+                                                      AttributeDescriptor &desc)
+{
+  if (mattr) {
+    /* store element and type */
+    desc.element = mattr->element;
+    desc.flags = mattr->flags;
+    type = mattr->type;
+
+    /* store attribute data in arrays */
+    size_t size = mattr->element_size(geom, prim);
+
+    AttributeElement &element = desc.element;
+    int &offset = desc.offset;
+
+    if (mattr->element == ATTR_ELEMENT_VOXEL) {
+      /* store slot in offset value */
+      ImageHandle &handle = mattr->data_voxel();
+      offset = handle.svm_slot();
+    }
+    else if (mattr->element == ATTR_ELEMENT_CORNER_BYTE) {
+      uchar4 *data = mattr->data_uchar4();
+      offset = attr_uchar4_offset;
+
+      assert(attr_uchar4.size() >= offset + size);
+      if (mattr->modified) {
+        for (size_t k = 0; k < size; k++) {
+          attr_uchar4[offset + k] = data[k];
+        }
+      }
+      attr_uchar4_offset += size;
+    }
+    else if (mattr->type == TypeDesc::TypeFloat) {
+      float *data = mattr->data_float();
+      offset = attr_float_offset;
+
+      assert(attr_float.size() >= offset + size);
+      if (mattr->modified) {
+        for (size_t k = 0; k < size; k++) {
+          attr_float[offset + k] = data[k];
+        }
+      }
+      attr_float_offset += size;
+    }
+    else if (mattr->type == TypeFloat2) {
+      float2 *data = mattr->data_float2();
+      offset = attr_float2_offset;
+
+      assert(attr_float2.size() >= offset + size);
+      if (mattr->modified) {
+        for (size_t k = 0; k < size; k++) {
+          attr_float2[offset + k] = data[k];
+        }
+      }
+      attr_float2_offset += size;
+    }
+    else if (mattr->type == TypeDesc::TypeMatrix) {
+      Transform *tfm = mattr->data_transform();
+      offset = attr_float3_offset;
+
+      assert(attr_float3.size() >= offset + size * 3);
+      if (mattr->modified) {
+        for (size_t k = 0; k < size * 3; k++) {
+          attr_float3[offset + k] = (&tfm->x)[k];
+        }
+      }
+      attr_float3_offset += size * 3;
+    }
+    else {
+      float4 *data = mattr->data_float4();
+      offset = attr_float3_offset;
+
+      assert(attr_float3.size() >= offset + size);
+      if (mattr->modified) {
+        for (size_t k = 0; k < size; k++) {
+          attr_float3[offset + k] = data[k];
+        }
+      }
+      attr_float3_offset += size;
+    }
+
+    /* mesh vertex/curve index is global, not per object, so we sneak
+     * a correction for that in here */
+    if (geom->is_mesh()) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+      if (mesh->subdivision_type == Mesh::SUBDIVISION_CATMULL_CLARK &&
+          desc.flags & ATTR_SUBDIVIDED) {
+        /* Indices for subdivided attributes are retrieved
+         * from patch table so no need for correction here. */
+      }
+      else if (element == ATTR_ELEMENT_VERTEX)
+        offset -= mesh->vert_offset;
+      else if (element == ATTR_ELEMENT_VERTEX_MOTION)
+        offset -= mesh->vert_offset;
+      else if (element == ATTR_ELEMENT_FACE) {
+        if (prim == ATTR_PRIM_GEOMETRY)
+          offset -= mesh->prim_offset;
+        else
+          offset -= mesh->face_offset;
+      }
+      else if (element == ATTR_ELEMENT_CORNER || element == ATTR_ELEMENT_CORNER_BYTE) {
+        if (prim == ATTR_PRIM_GEOMETRY)
+          offset -= 3 * mesh->prim_offset;
+        else
+          offset -= mesh->corner_offset;
+      }
+    }
+    else if (geom->is_hair()) {
+      Hair *hair = static_cast<Hair *>(geom);
+      if (element == ATTR_ELEMENT_CURVE)
+        offset -= hair->prim_offset;
+      else if (element == ATTR_ELEMENT_CURVE_KEY)
+        offset -= hair->curve_key_offset;
+      else if (element == ATTR_ELEMENT_CURVE_KEY_MOTION)
+        offset -= hair->curve_key_offset;
+    }
+  }
+  else {
+    /* attribute not found */
+    desc.element = ATTR_ELEMENT_NONE;
+    desc.offset = 0;
+  }
+}
+
+void GeometryManager::device_update_attributes(Device *device,
+                                               DeviceScene *dscene,
+                                               Scene *scene,
+                                               Progress &progress)
+{
+  progress.set_status("Updating Mesh", "Computing attributes");
+
+  /* gather per mesh requested attributes. as meshes may have multiple
+   * shaders assigned, this merges the requested attributes that have
+   * been set per shader by the shader manager */
+  vector<AttributeRequestSet> geom_attributes(scene->geometry.size());
+
+  for (size_t i = 0; i < scene->geometry.size(); i++) {
+    Geometry *geom = scene->geometry[i];
+
+    geom->index = i;
+    scene->need_global_attributes(geom_attributes[i]);
+
+    foreach (Node *node, geom->get_used_shaders()) {
+      Shader *shader = static_cast<Shader *>(node);
+      geom_attributes[i].add(shader->attributes);
+    }
+
+    if (geom->is_hair() && static_cast<Hair *>(geom)->need_shadow_transparency()) {
+      geom_attributes[i].add(ATTR_STD_SHADOW_TRANSPARENCY);
+    }
+  }
+
+  /* convert object attributes to use the same data structures as geometry ones */
+  vector<AttributeRequestSet> object_attributes(scene->objects.size());
+  vector<AttributeSet> object_attribute_values;
+
+  object_attribute_values.reserve(scene->objects.size());
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    Object *object = scene->objects[i];
+    Geometry *geom = object->geometry;
+    size_t geom_idx = geom->index;
+
+    assert(geom_idx < scene->geometry.size() && scene->geometry[geom_idx] == geom);
+
+    object_attribute_values.push_back(AttributeSet(geom, ATTR_PRIM_GEOMETRY));
+
+    AttributeRequestSet &geom_requests = geom_attributes[geom_idx];
+    AttributeRequestSet &attributes = object_attributes[i];
+    AttributeSet &values = object_attribute_values[i];
+
+    for (size_t j = 0; j < object->attributes.size(); j++) {
+      ParamValue &param = object->attributes[j];
+
+      /* add attributes that are requested and not already handled by the mesh */
+      if (geom_requests.find(param.name()) && !geom->attributes.find(param.name())) {
+        attributes.add(param.name());
+
+        Attribute *attr = values.add(param.name(), param.type(), ATTR_ELEMENT_OBJECT);
+        assert(param.datasize() == attr->buffer.size());
+        memcpy(attr->buffer.data(), param.data(), param.datasize());
+      }
+    }
+  }
+
+  /* mesh attribute are stored in a single array per data type. here we fill
+   * those arrays, and set the offset and element type to create attribute
+   * maps next */
+
+  /* Pre-allocate attributes to avoid arrays re-allocation which would
+   * take 2x of overall attribute memory usage.
+   */
+  size_t attr_float_size = 0;
+  size_t attr_float2_size = 0;
+  size_t attr_float3_size = 0;
+  size_t attr_uchar4_size = 0;
+
+  for (size_t i = 0; i < scene->geometry.size(); i++) {
+    Geometry *geom = scene->geometry[i];
+    AttributeRequestSet &attributes = geom_attributes[i];
+    foreach (AttributeRequest &req, attributes.requests) {
+      Attribute *attr = geom->attributes.find(req);
+
+      update_attribute_element_size(geom,
+                                    attr,
+                                    ATTR_PRIM_GEOMETRY,
+                                    &attr_float_size,
+                                    &attr_float2_size,
+                                    &attr_float3_size,
+                                    &attr_uchar4_size);
+
+      if (geom->is_mesh()) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+        Attribute *subd_attr = mesh->subd_attributes.find(req);
+
+        update_attribute_element_size(mesh,
+                                      subd_attr,
+                                      ATTR_PRIM_SUBD,
+                                      &attr_float_size,
+                                      &attr_float2_size,
+                                      &attr_float3_size,
+                                      &attr_uchar4_size);
+      }
+    }
+  }
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    Object *object = scene->objects[i];
+
+    foreach (Attribute &attr, object_attribute_values[i].attributes) {
+      update_attribute_element_size(object->geometry,
+                                    &attr,
+                                    ATTR_PRIM_GEOMETRY,
+                                    &attr_float_size,
+                                    &attr_float2_size,
+                                    &attr_float3_size,
+                                    &attr_uchar4_size);
+    }
+  }
+
+  dscene->attributes_float.alloc(attr_float_size);
+  dscene->attributes_float2.alloc(attr_float2_size);
+  dscene->attributes_float3.alloc(attr_float3_size);
+  dscene->attributes_uchar4.alloc(attr_uchar4_size);
+
+  /* The order of those flags needs to match that of AttrKernelDataType. */
+  const bool attributes_need_realloc[4] = {
+      dscene->attributes_float.need_realloc(),
+      dscene->attributes_float2.need_realloc(),
+      dscene->attributes_float3.need_realloc(),
+      dscene->attributes_uchar4.need_realloc(),
+  };
+
+  size_t attr_float_offset = 0;
+  size_t attr_float2_offset = 0;
+  size_t attr_float3_offset = 0;
+  size_t attr_uchar4_offset = 0;
+
+  /* Fill in attributes. */
+  for (size_t i = 0; i < scene->geometry.size(); i++) {
+    Geometry *geom = scene->geometry[i];
+    AttributeRequestSet &attributes = geom_attributes[i];
+
+    /* todo: we now store std and name attributes from requests even if
+     * they actually refer to the same mesh attributes, optimize */
+    foreach (AttributeRequest &req, attributes.requests) {
+      Attribute *attr = geom->attributes.find(req);
+
+      if (attr) {
+        /* force a copy if we need to reallocate all the data */
+        attr->modified |= attributes_need_realloc[Attribute::kernel_type(*attr)];
+      }
+
+      update_attribute_element_offset(geom,
+                                      dscene->attributes_float,
+                                      attr_float_offset,
+                                      dscene->attributes_float2,
+                                      attr_float2_offset,
+                                      dscene->attributes_float3,
+                                      attr_float3_offset,
+                                      dscene->attributes_uchar4,
+                                      attr_uchar4_offset,
+                                      attr,
+                                      ATTR_PRIM_GEOMETRY,
+                                      req.type,
+                                      req.desc);
+
+      if (geom->is_mesh()) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+        Attribute *subd_attr = mesh->subd_attributes.find(req);
+
+        if (subd_attr) {
+          /* force a copy if we need to reallocate all the data */
+          subd_attr->modified |= attributes_need_realloc[Attribute::kernel_type(*subd_attr)];
+        }
+
+        update_attribute_element_offset(mesh,
+                                        dscene->attributes_float,
+                                        attr_float_offset,
+                                        dscene->attributes_float2,
+                                        attr_float2_offset,
+                                        dscene->attributes_float3,
+                                        attr_float3_offset,
+                                        dscene->attributes_uchar4,
+                                        attr_uchar4_offset,
+                                        subd_attr,
+                                        ATTR_PRIM_SUBD,
+                                        req.subd_type,
+                                        req.subd_desc);
+      }
+
+      if (progress.get_cancel())
+        return;
+    }
+  }
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    Object *object = scene->objects[i];
+    AttributeRequestSet &attributes = object_attributes[i];
+    AttributeSet &values = object_attribute_values[i];
+
+    foreach (AttributeRequest &req, attributes.requests) {
+      Attribute *attr = values.find(req);
+
+      if (attr) {
+        attr->modified |= attributes_need_realloc[Attribute::kernel_type(*attr)];
+      }
+
+      update_attribute_element_offset(object->geometry,
+                                      dscene->attributes_float,
+                                      attr_float_offset,
+                                      dscene->attributes_float2,
+                                      attr_float2_offset,
+                                      dscene->attributes_float3,
+                                      attr_float3_offset,
+                                      dscene->attributes_uchar4,
+                                      attr_uchar4_offset,
+                                      attr,
+                                      ATTR_PRIM_GEOMETRY,
+                                      req.type,
+                                      req.desc);
+
+      /* object attributes don't care about subdivision */
+      req.subd_type = req.type;
+      req.subd_desc = req.desc;
+
+      if (progress.get_cancel())
+        return;
+    }
+  }
+
+  /* create attribute lookup maps */
+  if (scene->shader_manager->use_osl())
+    update_osl_attributes(device, scene, geom_attributes);
+
+  update_svm_attributes(device, dscene, scene, geom_attributes, object_attributes);
+
+  if (progress.get_cancel())
+    return;
+
+  /* copy to device */
+  progress.set_status("Updating Mesh", "Copying Attributes to device");
+
+  dscene->attributes_float.copy_to_device_if_modified();
+  dscene->attributes_float2.copy_to_device_if_modified();
+  dscene->attributes_float3.copy_to_device_if_modified();
+  dscene->attributes_uchar4.copy_to_device_if_modified();
+
+  if (progress.get_cancel())
+    return;
+
+  /* After mesh attributes and patch tables have been copied to device memory,
+   * we need to update offsets in the objects. */
+  scene->object_manager->device_update_mesh_offsets(device, dscene, scene);
+}
+
+void GeometryManager::mesh_calc_offset(Scene *scene, BVHLayout bvh_layout)
+{
+  size_t vert_size = 0;
+  size_t tri_size = 0;
+
+  size_t curve_size = 0;
+  size_t curve_key_size = 0;
+  size_t curve_segment_size = 0;
+
+  size_t patch_size = 0;
+  size_t face_size = 0;
+  size_t corner_size = 0;
+
+  foreach (Geometry *geom, scene->geometry) {
+    bool prim_offset_changed = false;
+
+    if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+
+      prim_offset_changed = (mesh->prim_offset != tri_size);
+
+      mesh->vert_offset = vert_size;
+      mesh->prim_offset = tri_size;
+
+      mesh->patch_offset = patch_size;
+      mesh->face_offset = face_size;
+      mesh->corner_offset = corner_size;
+
+      vert_size += mesh->verts.size();
+      tri_size += mesh->num_triangles();
+
+      if (mesh->get_num_subd_faces()) {
+        Mesh::SubdFace last = mesh->get_subd_face(mesh->get_num_subd_faces() - 1);
+        patch_size += (last.ptex_offset + last.num_ptex_faces()) * 8;
+
+        /* patch tables are stored in same array so include them in patch_size */
+        if (mesh->patch_table) {
+          mesh->patch_table_offset = patch_size;
+          patch_size += mesh->patch_table->total_size();
+        }
+      }
+
+      face_size += mesh->get_num_subd_faces();
+      corner_size += mesh->subd_face_corners.size();
+    }
+    else if (geom->is_hair()) {
+      Hair *hair = static_cast<Hair *>(geom);
+
+      prim_offset_changed = (hair->curve_segment_offset != curve_segment_size);
+      hair->curve_key_offset = curve_key_size;
+      hair->curve_segment_offset = curve_segment_size;
+      hair->prim_offset = curve_size;
+
+      curve_size += hair->num_curves();
+      curve_key_size += hair->get_curve_keys().size();
+      curve_segment_size += hair->num_segments();
+    }
+
+    if (prim_offset_changed) {
+      /* Need to rebuild BVH in OptiX, since refit only allows modified mesh data there */
+      const bool has_optix_bvh = bvh_layout == BVH_LAYOUT_OPTIX ||
+                                 bvh_layout == BVH_LAYOUT_MULTI_OPTIX ||
+                                 bvh_layout == BVH_LAYOUT_MULTI_OPTIX_EMBREE;
+      geom->need_update_rebuild |= has_optix_bvh;
+      geom->need_update_bvh_for_offset = true;
+    }
+  }
+}
+
+void GeometryManager::device_update_mesh(Device *,
+                                         DeviceScene *dscene,
+                                         Scene *scene,
+                                         Progress &progress)
+{
+  /* Count. */
+  size_t vert_size = 0;
+  size_t tri_size = 0;
+
+  size_t curve_key_size = 0;
+  size_t curve_size = 0;
+  size_t curve_segment_size = 0;
+
+  size_t patch_size = 0;
+
+  foreach (Geometry *geom, scene->geometry) {
+    if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+
+      vert_size += mesh->verts.size();
+      tri_size += mesh->num_triangles();
+
+      if (mesh->get_num_subd_faces()) {
+        Mesh::SubdFace last = mesh->get_subd_face(mesh->get_num_subd_faces() - 1);
+        patch_size += (last.ptex_offset + last.num_ptex_faces()) * 8;
+
+        /* patch tables are stored in same array so include them in patch_size */
+        if (mesh->patch_table) {
+          mesh->patch_table_offset = patch_size;
+          patch_size += mesh->patch_table->total_size();
+        }
+      }
+    }
+    else if (geom->is_hair()) {
+      Hair *hair = static_cast<Hair *>(geom);
+
+      curve_key_size += hair->get_curve_keys().size();
+      curve_size += hair->num_curves();
+      curve_segment_size += hair->num_segments();
+    }
+  }
+
+  /* Fill in all the arrays. */
+  if (tri_size != 0) {
+    /* normals */
+    progress.set_status("Updating Mesh", "Computing normals");
+
+    float4 *tri_verts = dscene->tri_verts.alloc(tri_size * 3);
+    uint *tri_shader = dscene->tri_shader.alloc(tri_size);
+    float4 *vnormal = dscene->tri_vnormal.alloc(vert_size);
+    uint4 *tri_vindex = dscene->tri_vindex.alloc(tri_size);
+    uint *tri_patch = dscene->tri_patch.alloc(tri_size);
+    float2 *tri_patch_uv = dscene->tri_patch_uv.alloc(vert_size);
+
+    const bool copy_all_data = dscene->tri_shader.need_realloc() ||
+                               dscene->tri_vindex.need_realloc() ||
+                               dscene->tri_vnormal.need_realloc() ||
+                               dscene->tri_patch.need_realloc() ||
+                               dscene->tri_patch_uv.need_realloc();
+
+    foreach (Geometry *geom, scene->geometry) {
+      if (geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+
+        if (mesh->shader_is_modified() || mesh->smooth_is_modified() ||
+            mesh->triangles_is_modified() || copy_all_data) {
+          mesh->pack_shaders(scene, &tri_shader[mesh->prim_offset]);
+        }
+
+        if (mesh->verts_is_modified() || copy_all_data) {
+          mesh->pack_normals(&vnormal[mesh->vert_offset]);
+        }
+
+        if (mesh->verts_is_modified() || mesh->triangles_is_modified() ||
+            mesh->vert_patch_uv_is_modified() || copy_all_data) {
+          mesh->pack_verts(&tri_verts[mesh->prim_offset * 3],
+                           &tri_vindex[mesh->prim_offset],
+                           &tri_patch[mesh->prim_offset],
+                           &tri_patch_uv[mesh->vert_offset]);
+        }
+
+        if (progress.get_cancel())
+          return;
+      }
+    }
+
+    /* vertex coordinates */
+    progress.set_status("Updating Mesh", "Copying Mesh to device");
+
+    dscene->tri_verts.copy_to_device_if_modified();
+    dscene->tri_shader.copy_to_device_if_modified();
+    dscene->tri_vnormal.copy_to_device_if_modified();
+    dscene->tri_vindex.copy_to_device_if_modified();
+    dscene->tri_patch.copy_to_device_if_modified();
+    dscene->tri_patch_uv.copy_to_device_if_modified();
+  }
+
+  if (curve_segment_size != 0) {
+    progress.set_status("Updating Mesh", "Copying Curves to device");
+
+    float4 *curve_keys = dscene->curve_keys.alloc(curve_key_size);
+    KernelCurve *curves = dscene->curves.alloc(curve_size);
+    KernelCurveSegment *curve_segments = dscene->curve_segments.alloc(curve_segment_size);
+
+    const bool copy_all_data = dscene->curve_keys.need_realloc() ||
+                               dscene->curves.need_realloc() ||
+                               dscene->curve_segments.need_realloc();
+
+    foreach (Geometry *geom, scene->geometry) {
+      if (geom->is_hair()) {
+        Hair *hair = static_cast<Hair *>(geom);
+
+        bool curve_keys_co_modified = hair->curve_radius_is_modified() ||
+                                      hair->curve_keys_is_modified();
+        bool curve_data_modified = hair->curve_shader_is_modified() ||
+                                   hair->curve_first_key_is_modified();
+
+        if (!curve_keys_co_modified && !curve_data_modified && !copy_all_data) {
+          continue;
+        }
+
+        hair->pack_curves(scene,
+                          &curve_keys[hair->curve_key_offset],
+                          &curves[hair->prim_offset],
+                          &curve_segments[hair->curve_segment_offset]);
+        if (progress.get_cancel())
+          return;
+      }
+    }
+
+    dscene->curve_keys.copy_to_device_if_modified();
+    dscene->curves.copy_to_device_if_modified();
+    dscene->curve_segments.copy_to_device_if_modified();
+  }
+
+  if (patch_size != 0 && dscene->patches.need_realloc()) {
+    progress.set_status("Updating Mesh", "Copying Patches to device");
+
+    uint *patch_data = dscene->patches.alloc(patch_size);
+
+    foreach (Geometry *geom, scene->geometry) {
+      if (geom->is_mesh()) {
+        Mesh *mesh = static_cast<Mesh *>(geom);
+        mesh->pack_patches(&patch_data[mesh->patch_offset]);
+
+        if (mesh->patch_table) {
+          mesh->patch_table->copy_adjusting_offsets(&patch_data[mesh->patch_table_offset],
+                                                    mesh->patch_table_offset);
+        }
+
+        if (progress.get_cancel())
+          return;
+      }
+    }
+
+    dscene->patches.copy_to_device();
+  }
+}
+
+void GeometryManager::device_update_bvh(Device *device,
+                                        DeviceScene *dscene,
+                                        Scene *scene,
+                                        Progress &progress)
+{
+  /* bvh build */
+  progress.set_status("Updating Scene BVH", "Building");
+
+  BVHParams bparams;
+  bparams.top_level = true;
+  bparams.bvh_layout = BVHParams::best_bvh_layout(scene->params.bvh_layout,
+                                                  device->get_bvh_layout_mask());
+  bparams.use_spatial_split = scene->params.use_bvh_spatial_split;
+  bparams.use_unaligned_nodes = dscene->data.bvh.have_curves &&
+                                scene->params.use_bvh_unaligned_nodes;
+  bparams.num_motion_triangle_steps = scene->params.num_bvh_time_steps;
+  bparams.num_motion_curve_steps = scene->params.num_bvh_time_steps;
+  bparams.bvh_type = scene->params.bvh_type;
+  bparams.curve_subdivisions = scene->params.curve_subdivisions();
+
+  VLOG(1) << "Using " << bvh_layout_name(bparams.bvh_layout) << " layout.";
+
+  const bool can_refit = scene->bvh != nullptr &&
+                         (bparams.bvh_layout == BVHLayout::BVH_LAYOUT_OPTIX);
+
+  BVH *bvh = scene->bvh;
+  if (!scene->bvh) {
+    bvh = scene->bvh = BVH::create(bparams, scene->geometry, scene->objects, device);
+  }
+
+  device->build_bvh(bvh, progress, can_refit);
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  const bool has_bvh2_layout = (bparams.bvh_layout == BVH_LAYOUT_BVH2);
+
+  PackedBVH pack;
+  if (has_bvh2_layout) {
+    pack = std::move(static_cast<BVH2 *>(bvh)->pack);
+  }
+  else {
+    pack.root_index = -1;
+  }
+
+  /* copy to device */
+  progress.set_status("Updating Scene BVH", "Copying BVH to device");
+
+  /* When using BVH2, we always have to copy/update the data as its layout is dependent on the
+   * BVH's leaf nodes which may be different when the objects or vertices move. */
+
+  if (pack.nodes.size()) {
+    dscene->bvh_nodes.steal_data(pack.nodes);
+    dscene->bvh_nodes.copy_to_device();
+  }
+  if (pack.leaf_nodes.size()) {
+    dscene->bvh_leaf_nodes.steal_data(pack.leaf_nodes);
+    dscene->bvh_leaf_nodes.copy_to_device();
+  }
+  if (pack.object_node.size()) {
+    dscene->object_node.steal_data(pack.object_node);
+    dscene->object_node.copy_to_device();
+  }
+  if (pack.prim_type.size()) {
+    dscene->prim_type.steal_data(pack.prim_type);
+    dscene->prim_type.copy_to_device();
+  }
+  if (pack.prim_visibility.size()) {
+    dscene->prim_visibility.steal_data(pack.prim_visibility);
+    dscene->prim_visibility.copy_to_device();
+  }
+  if (pack.prim_index.size()) {
+    dscene->prim_index.steal_data(pack.prim_index);
+    dscene->prim_index.copy_to_device();
+  }
+  if (pack.prim_object.size()) {
+    dscene->prim_object.steal_data(pack.prim_object);
+    dscene->prim_object.copy_to_device();
+  }
+  if (pack.prim_time.size()) {
+    dscene->prim_time.steal_data(pack.prim_time);
+    dscene->prim_time.copy_to_device();
+  }
+
+  dscene->data.bvh.root = pack.root_index;
+  dscene->data.bvh.use_bvh_steps = (scene->params.num_bvh_time_steps != 0);
+  dscene->data.bvh.curve_subdivisions = scene->params.curve_subdivisions();
+  /* The scene handle is set in 'CPUDevice::const_copy_to' and 'OptiXDevice::const_copy_to' */
+  dscene->data.bvh.scene = 0;
+}
+
+/* Set of flags used to help determining what data has been modified or needs reallocation, so we
+ * can decide which device data to free or update. */
+enum {
+  DEVICE_CURVE_DATA_MODIFIED = (1 << 0),
+  DEVICE_MESH_DATA_MODIFIED = (1 << 1),
+
+  ATTR_FLOAT_MODIFIED = (1 << 2),
+  ATTR_FLOAT2_MODIFIED = (1 << 3),
+  ATTR_FLOAT3_MODIFIED = (1 << 4),
+  ATTR_UCHAR4_MODIFIED = (1 << 5),
+
+  CURVE_DATA_NEED_REALLOC = (1 << 6),
+  MESH_DATA_NEED_REALLOC = (1 << 7),
+
+  ATTR_FLOAT_NEEDS_REALLOC = (1 << 8),
+  ATTR_FLOAT2_NEEDS_REALLOC = (1 << 9),
+  ATTR_FLOAT3_NEEDS_REALLOC = (1 << 10),
+  ATTR_UCHAR4_NEEDS_REALLOC = (1 << 11),
+
+  ATTRS_NEED_REALLOC = (ATTR_FLOAT_NEEDS_REALLOC | ATTR_FLOAT2_NEEDS_REALLOC |
+                        ATTR_FLOAT3_NEEDS_REALLOC | ATTR_UCHAR4_NEEDS_REALLOC),
+  DEVICE_MESH_DATA_NEEDS_REALLOC = (MESH_DATA_NEED_REALLOC | ATTRS_NEED_REALLOC),
+  DEVICE_CURVE_DATA_NEEDS_REALLOC = (CURVE_DATA_NEED_REALLOC | ATTRS_NEED_REALLOC),
+};
+
+static void update_device_flags_attribute(uint32_t &device_update_flags,
+                                          const AttributeSet &attributes)
+{
+  foreach (const Attribute &attr, attributes.attributes) {
+    if (!attr.modified) {
+      continue;
+    }
+
+    AttrKernelDataType kernel_type = Attribute::kernel_type(attr);
+
+    switch (kernel_type) {
+      case AttrKernelDataType::FLOAT: {
+        device_update_flags |= ATTR_FLOAT_MODIFIED;
+        break;
+      }
+      case AttrKernelDataType::FLOAT2: {
+        device_update_flags |= ATTR_FLOAT2_MODIFIED;
+        break;
+      }
+      case AttrKernelDataType::FLOAT3: {
+        device_update_flags |= ATTR_FLOAT3_MODIFIED;
+        break;
+      }
+      case AttrKernelDataType::UCHAR4: {
+        device_update_flags |= ATTR_UCHAR4_MODIFIED;
+        break;
+      }
+    }
+  }
+}
+
+static void update_attribute_realloc_flags(uint32_t &device_update_flags,
+                                           const AttributeSet &attributes)
+{
+  if (attributes.modified(AttrKernelDataType::FLOAT)) {
+    device_update_flags |= ATTR_FLOAT_NEEDS_REALLOC;
+  }
+  if (attributes.modified(AttrKernelDataType::FLOAT2)) {
+    device_update_flags |= ATTR_FLOAT2_NEEDS_REALLOC;
+  }
+  if (attributes.modified(AttrKernelDataType::FLOAT3)) {
+    device_update_flags |= ATTR_FLOAT3_NEEDS_REALLOC;
+  }
+  if (attributes.modified(AttrKernelDataType::UCHAR4)) {
+    device_update_flags |= ATTR_UCHAR4_NEEDS_REALLOC;
+  }
+}
+
+void GeometryManager::device_update_preprocess(Device *device, Scene *scene, Progress &progress)
+{
+  if (!need_update() && !need_flags_update) {
+    return;
+  }
+
+  uint32_t device_update_flags = 0;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->geometry.times.add_entry({"device_update_preprocess", time});
+    }
+  });
+
+  progress.set_status("Updating Meshes Flags");
+
+  /* Update flags. */
+  bool volume_images_updated = false;
+
+  foreach (Geometry *geom, scene->geometry) {
+    geom->has_volume = false;
+
+    update_attribute_realloc_flags(device_update_flags, geom->attributes);
+
+    if (geom->is_mesh()) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+      update_attribute_realloc_flags(device_update_flags, mesh->subd_attributes);
+    }
+
+    foreach (Node *node, geom->get_used_shaders()) {
+      Shader *shader = static_cast<Shader *>(node);
+      if (shader->has_volume) {
+        geom->has_volume = true;
+      }
+
+      if (shader->has_surface_bssrdf) {
+        geom->has_surface_bssrdf = true;
+      }
+
+      if (shader->need_update_uvs) {
+        device_update_flags |= ATTR_FLOAT2_NEEDS_REALLOC;
+
+        /* Attributes might need to be tessellated if added. */
+        if (geom->is_mesh()) {
+          Mesh *mesh = static_cast<Mesh *>(geom);
+          if (mesh->need_tesselation()) {
+            mesh->tag_modified();
+          }
+        }
+      }
+
+      if (shader->need_update_attribute) {
+        device_update_flags |= ATTRS_NEED_REALLOC;
+
+        /* Attributes might need to be tessellated if added. */
+        if (geom->is_mesh()) {
+          Mesh *mesh = static_cast<Mesh *>(geom);
+          if (mesh->need_tesselation()) {
+            mesh->tag_modified();
+          }
+        }
+      }
+
+      if (shader->need_update_displacement) {
+        /* tag displacement related sockets as modified */
+        if (geom->is_mesh()) {
+          Mesh *mesh = static_cast<Mesh *>(geom);
+          mesh->tag_verts_modified();
+          mesh->tag_subd_dicing_rate_modified();
+          mesh->tag_subd_max_level_modified();
+          mesh->tag_subd_objecttoworld_modified();
+
+          device_update_flags |= ATTRS_NEED_REALLOC;
+        }
+      }
+    }
+
+    /* only check for modified attributes if we do not need to reallocate them already */
+    if ((device_update_flags & ATTRS_NEED_REALLOC) == 0) {
+      update_device_flags_attribute(device_update_flags, geom->attributes);
+      /* don't check for subd_attributes, as if they were modified, we would need to reallocate
+       * anyway */
+    }
+
+    /* Re-create volume mesh if we will rebuild or refit the BVH. Note we
+     * should only do it in that case, otherwise the BVH and mesh can go
+     * out of sync. */
+    if (geom->is_modified() && geom->geometry_type == Geometry::VOLUME) {
+      /* Create volume meshes if there is voxel data. */
+      if (!volume_images_updated) {
+        progress.set_status("Updating Meshes Volume Bounds");
+        device_update_volume_images(device, scene, progress);
+        volume_images_updated = true;
+      }
+
+      Volume *volume = static_cast<Volume *>(geom);
+      create_volume_mesh(volume, progress);
+
+      /* always reallocate when we have a volume, as we need to rebuild the BVH */
+      device_update_flags |= DEVICE_MESH_DATA_NEEDS_REALLOC;
+    }
+
+    if (geom->is_hair()) {
+      /* Set curve shape, still a global scene setting for now. */
+      Hair *hair = static_cast<Hair *>(geom);
+      hair->curve_shape = scene->params.hair_shape;
+
+      if (hair->need_update_rebuild) {
+        device_update_flags |= DEVICE_CURVE_DATA_NEEDS_REALLOC;
+      }
+      else if (hair->is_modified()) {
+        device_update_flags |= DEVICE_CURVE_DATA_MODIFIED;
+      }
+    }
+
+    if (geom->is_mesh()) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+
+      if (mesh->need_update_rebuild) {
+        device_update_flags |= DEVICE_MESH_DATA_NEEDS_REALLOC;
+      }
+      else if (mesh->is_modified()) {
+        device_update_flags |= DEVICE_MESH_DATA_MODIFIED;
+      }
+    }
+  }
+
+  if (update_flags & (MESH_ADDED | MESH_REMOVED)) {
+    device_update_flags |= DEVICE_MESH_DATA_NEEDS_REALLOC;
+  }
+
+  if (update_flags & (HAIR_ADDED | HAIR_REMOVED)) {
+    device_update_flags |= DEVICE_CURVE_DATA_NEEDS_REALLOC;
+  }
+
+  /* tag the device arrays for reallocation or modification */
+  DeviceScene *dscene = &scene->dscene;
+
+  if (device_update_flags & (DEVICE_MESH_DATA_NEEDS_REALLOC | DEVICE_CURVE_DATA_NEEDS_REALLOC)) {
+    delete scene->bvh;
+    scene->bvh = nullptr;
+
+    dscene->bvh_nodes.tag_realloc();
+    dscene->bvh_leaf_nodes.tag_realloc();
+    dscene->object_node.tag_realloc();
+    dscene->prim_type.tag_realloc();
+    dscene->prim_visibility.tag_realloc();
+    dscene->prim_index.tag_realloc();
+    dscene->prim_object.tag_realloc();
+    dscene->prim_time.tag_realloc();
+
+    if (device_update_flags & DEVICE_MESH_DATA_NEEDS_REALLOC) {
+      dscene->tri_verts.tag_realloc();
+      dscene->tri_vnormal.tag_realloc();
+      dscene->tri_vindex.tag_realloc();
+      dscene->tri_patch.tag_realloc();
+      dscene->tri_patch_uv.tag_realloc();
+      dscene->tri_shader.tag_realloc();
+      dscene->patches.tag_realloc();
+    }
+
+    if (device_update_flags & DEVICE_CURVE_DATA_NEEDS_REALLOC) {
+      dscene->curves.tag_realloc();
+      dscene->curve_keys.tag_realloc();
+      dscene->curve_segments.tag_realloc();
+    }
+  }
+
+  if ((update_flags & VISIBILITY_MODIFIED) != 0) {
+    dscene->prim_visibility.tag_modified();
+  }
+
+  if (device_update_flags & ATTR_FLOAT_NEEDS_REALLOC) {
+    dscene->attributes_map.tag_realloc();
+    dscene->attributes_float.tag_realloc();
+  }
+  else if (device_update_flags & ATTR_FLOAT_MODIFIED) {
+    dscene->attributes_float.tag_modified();
+  }
+
+  if (device_update_flags & ATTR_FLOAT2_NEEDS_REALLOC) {
+    dscene->attributes_map.tag_realloc();
+    dscene->attributes_float2.tag_realloc();
+  }
+  else if (device_update_flags & ATTR_FLOAT2_MODIFIED) {
+    dscene->attributes_float2.tag_modified();
+  }
+
+  if (device_update_flags & ATTR_FLOAT3_NEEDS_REALLOC) {
+    dscene->attributes_map.tag_realloc();
+    dscene->attributes_float3.tag_realloc();
+  }
+  else if (device_update_flags & ATTR_FLOAT3_MODIFIED) {
+    dscene->attributes_float3.tag_modified();
+  }
+
+  if (device_update_flags & ATTR_UCHAR4_NEEDS_REALLOC) {
+    dscene->attributes_map.tag_realloc();
+    dscene->attributes_uchar4.tag_realloc();
+  }
+  else if (device_update_flags & ATTR_UCHAR4_MODIFIED) {
+    dscene->attributes_uchar4.tag_modified();
+  }
+
+  if (device_update_flags & DEVICE_MESH_DATA_MODIFIED) {
+    /* if anything else than vertices or shaders are modified, we would need to reallocate, so
+     * these are the only arrays that can be updated */
+    dscene->tri_verts.tag_modified();
+    dscene->tri_vnormal.tag_modified();
+    dscene->tri_shader.tag_modified();
+  }
+
+  if (device_update_flags & DEVICE_CURVE_DATA_MODIFIED) {
+    dscene->curve_keys.tag_modified();
+    dscene->curves.tag_modified();
+    dscene->curve_segments.tag_modified();
+  }
+
+  need_flags_update = false;
+}
+
+void GeometryManager::device_update_displacement_images(Device *device,
+                                                        Scene *scene,
+                                                        Progress &progress)
+{
+  progress.set_status("Updating Displacement Images");
+  TaskPool pool;
+  ImageManager *image_manager = scene->image_manager;
+  set<int> bump_images;
+  foreach (Geometry *geom, scene->geometry) {
+    if (geom->is_modified()) {
+      foreach (Node *node, geom->get_used_shaders()) {
+        Shader *shader = static_cast<Shader *>(node);
+        if (!shader->has_displacement || shader->get_displacement_method() == DISPLACE_BUMP) {
+          continue;
+        }
+        foreach (ShaderNode *node, shader->graph->nodes) {
+          if (node->special_type != SHADER_SPECIAL_TYPE_IMAGE_SLOT) {
+            continue;
+          }
+
+          ImageSlotTextureNode *image_node = static_cast<ImageSlotTextureNode *>(node);
+          for (int i = 0; i < image_node->handle.num_tiles(); i++) {
+            const int slot = image_node->handle.svm_slot(i);
+            if (slot != -1) {
+              bump_images.insert(slot);
+            }
+          }
+        }
+      }
+    }
+  }
+  foreach (int slot, bump_images) {
+    pool.push(function_bind(
+        &ImageManager::device_update_slot, image_manager, device, scene, slot, &progress));
+  }
+  pool.wait_work();
+}
+
+void GeometryManager::device_update_volume_images(Device *device, Scene *scene, Progress &progress)
+{
+  progress.set_status("Updating Volume Images");
+  TaskPool pool;
+  ImageManager *image_manager = scene->image_manager;
+  set<int> volume_images;
+
+  foreach (Geometry *geom, scene->geometry) {
+    if (!geom->is_modified()) {
+      continue;
+    }
+
+    foreach (Attribute &attr, geom->attributes.attributes) {
+      if (attr.element != ATTR_ELEMENT_VOXEL) {
+        continue;
+      }
+
+      ImageHandle &handle = attr.data_voxel();
+      /* We can build directly from OpenVDB data structures, no need to
+       * load such images early. */
+      if (!handle.vdb_loader()) {
+        const int slot = handle.svm_slot();
+        if (slot != -1) {
+          volume_images.insert(slot);
+        }
+      }
+    }
+  }
+
+  foreach (int slot, volume_images) {
+    pool.push(function_bind(
+        &ImageManager::device_update_slot, image_manager, device, scene, slot, &progress));
+  }
+  pool.wait_work();
+}
+
+void GeometryManager::device_update(Device *device,
+                                    DeviceScene *dscene,
+                                    Scene *scene,
+                                    Progress &progress)
+{
+  if (!need_update())
+    return;
+
+  VLOG(1) << "Total " << scene->geometry.size() << " meshes.";
+
+  bool true_displacement_used = false;
+  bool curve_shadow_transparency_used = false;
+  size_t total_tess_needed = 0;
+
+  {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry({"device_update (normals)", time});
+      }
+    });
+
+    foreach (Geometry *geom, scene->geometry) {
+      if (geom->is_modified()) {
+        if ((geom->geometry_type == Geometry::MESH || geom->geometry_type == Geometry::VOLUME)) {
+          Mesh *mesh = static_cast<Mesh *>(geom);
+
+          /* Update normals. */
+          mesh->add_face_normals();
+          mesh->add_vertex_normals();
+
+          if (mesh->need_attribute(scene, ATTR_STD_POSITION_UNDISPLACED)) {
+            mesh->add_undisplaced();
+          }
+
+          /* Test if we need tessellation. */
+          if (mesh->need_tesselation()) {
+            total_tess_needed++;
+          }
+
+          /* Test if we need displacement. */
+          if (mesh->has_true_displacement()) {
+            true_displacement_used = true;
+          }
+        }
+        else if (geom->geometry_type == Geometry::HAIR) {
+          Hair *hair = static_cast<Hair *>(geom);
+          if (hair->need_shadow_transparency()) {
+            curve_shadow_transparency_used = true;
+          }
+        }
+
+        if (progress.get_cancel()) {
+          return;
+        }
+      }
+    }
+  }
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  /* Tessellate meshes that are using subdivision */
+  if (total_tess_needed) {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry(
+            {"device_update (adaptive subdivision)", time});
+      }
+    });
+
+    Camera *dicing_camera = scene->dicing_camera;
+    dicing_camera->set_screen_size(dicing_camera->get_full_width(),
+                                   dicing_camera->get_full_height());
+    dicing_camera->update(scene);
+
+    size_t i = 0;
+    foreach (Geometry *geom, scene->geometry) {
+      if (!(geom->is_modified() && geom->is_mesh())) {
+        continue;
+      }
+
+      Mesh *mesh = static_cast<Mesh *>(geom);
+      if (mesh->need_tesselation()) {
+        string msg = "Tessellating ";
+        if (mesh->name == "")
+          msg += string_printf("%u/%u", (uint)(i + 1), (uint)total_tess_needed);
+        else
+          msg += string_printf(
+              "%s %u/%u", mesh->name.c_str(), (uint)(i + 1), (uint)total_tess_needed);
+
+        progress.set_status("Updating Mesh", msg);
+
+        mesh->subd_params->camera = dicing_camera;
+        DiagSplit dsplit(*mesh->subd_params);
+        mesh->tessellate(&dsplit);
+
+        i++;
+
+        if (progress.get_cancel()) {
+          return;
+        }
+      }
+    }
+
+    if (progress.get_cancel()) {
+      return;
+    }
+  }
+
+  /* Update images needed for true displacement. */
+  bool old_need_object_flags_update = false;
+  if (true_displacement_used || curve_shadow_transparency_used) {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry(
+            {"device_update (displacement: load images)", time});
+      }
+    });
+    device_update_displacement_images(device, scene, progress);
+    old_need_object_flags_update = scene->object_manager->need_flags_update;
+    scene->object_manager->device_update_flags(device, dscene, scene, progress, false);
+  }
+
+  /* Device update. */
+  device_free(device, dscene, false);
+
+  const BVHLayout bvh_layout = BVHParams::best_bvh_layout(scene->params.bvh_layout,
+                                                          device->get_bvh_layout_mask());
+  mesh_calc_offset(scene, bvh_layout);
+  if (true_displacement_used || curve_shadow_transparency_used) {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry(
+            {"device_update (displacement: copy meshes to device)", time});
+      }
+    });
+    device_update_mesh(device, dscene, scene, progress);
+  }
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry({"device_update (attributes)", time});
+      }
+    });
+    device_update_attributes(device, dscene, scene, progress);
+    if (progress.get_cancel()) {
+      return;
+    }
+  }
+
+  /* Update displacement and hair shadow transparency. */
+  bool displacement_done = false;
+  bool curve_shadow_transparency_done = false;
+  size_t num_bvh = 0;
+
+  {
+    /* Copy constant data needed by shader evaluation. */
+    device->const_copy_to("__data", &dscene->data, sizeof(dscene->data));
+
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry({"device_update (displacement)", time});
+      }
+    });
+
+    foreach (Geometry *geom, scene->geometry) {
+      if (geom->is_modified()) {
+        if (geom->is_mesh()) {
+          Mesh *mesh = static_cast<Mesh *>(geom);
+          if (displace(device, scene, mesh, progress)) {
+            displacement_done = true;
+          }
+        }
+        else if (geom->geometry_type == Geometry::HAIR) {
+          Hair *hair = static_cast<Hair *>(geom);
+          if (hair->update_shadow_transparency(device, scene, progress)) {
+            curve_shadow_transparency_done = true;
+          }
+        }
+      }
+
+      if (geom->is_modified() || geom->need_update_bvh_for_offset) {
+        if (geom->need_build_bvh(bvh_layout)) {
+          num_bvh++;
+        }
+      }
+
+      if (progress.get_cancel()) {
+        return;
+      }
+    }
+  }
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  /* Device re-update after displacement. */
+  if (displacement_done || curve_shadow_transparency_done) {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry(
+            {"device_update (displacement: attributes)", time});
+      }
+    });
+    device_free(device, dscene, false);
+
+    device_update_attributes(device, dscene, scene, progress);
+    if (progress.get_cancel()) {
+      return;
+    }
+  }
+
+  /* Update the BVH even when there is no geometry so the kernel's BVH data is still valid,
+   * especially when removing all of the objects during interactive renders.
+   * Also update the BVH if the transformations change, we cannot rely on tagging the Geometry
+   * as modified in this case, as we may accumulate displacement if the vertices do not also
+   * change. */
+  bool need_update_scene_bvh = (scene->bvh == nullptr ||
+                                (update_flags & (TRANSFORM_MODIFIED | VISIBILITY_MODIFIED)) != 0);
+  {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry({"device_update (build object BVHs)", time});
+      }
+    });
+    TaskPool pool;
+
+    size_t i = 0;
+    foreach (Geometry *geom, scene->geometry) {
+      if (geom->is_modified() || geom->need_update_bvh_for_offset) {
+        need_update_scene_bvh = true;
+        pool.push(function_bind(
+            &Geometry::compute_bvh, geom, device, dscene, &scene->params, &progress, i, num_bvh));
+        if (geom->need_build_bvh(bvh_layout)) {
+          i++;
+        }
+      }
+    }
+
+    TaskPool::Summary summary;
+    pool.wait_work(&summary);
+    VLOG(2) << "Objects BVH build pool statistics:\n" << summary.full_report();
+  }
+
+  foreach (Shader *shader, scene->shaders) {
+    shader->need_update_uvs = false;
+    shader->need_update_attribute = false;
+    shader->need_update_displacement = false;
+  }
+
+  Scene::MotionType need_motion = scene->need_motion();
+  bool motion_blur = need_motion == Scene::MOTION_BLUR;
+
+  /* Update objects. */
+  {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry({"device_update (compute bounds)", time});
+      }
+    });
+    foreach (Object *object, scene->objects) {
+      object->compute_bounds(motion_blur);
+    }
+  }
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  if (need_update_scene_bvh) {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry({"device_update (build scene BVH)", time});
+      }
+    });
+    device_update_bvh(device, dscene, scene, progress);
+    if (progress.get_cancel()) {
+      return;
+    }
+  }
+
+  /* Always set BVH layout again after displacement where it was set to none,
+   * to avoid ray-tracing at that stage. */
+  dscene->data.bvh.bvh_layout = BVHParams::best_bvh_layout(scene->params.bvh_layout,
+                                                           device->get_bvh_layout_mask());
+
+  {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->geometry.times.add_entry(
+            {"device_update (copy meshes to device)", time});
+      }
+    });
+    device_update_mesh(device, dscene, scene, progress);
+    if (progress.get_cancel()) {
+      return;
+    }
+  }
+
+  if (true_displacement_used) {
+    /* Re-tag flags for update, so they're re-evaluated
+     * for meshes with correct bounding boxes.
+     *
+     * This wouldn't cause wrong results, just true
+     * displacement might be less optimal to calculate.
+     */
+    scene->object_manager->need_flags_update = old_need_object_flags_update;
+  }
+
+  /* unset flags */
+
+  foreach (Geometry *geom, scene->geometry) {
+    geom->clear_modified();
+    geom->attributes.clear_modified();
+
+    if (geom->is_mesh()) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+      mesh->subd_attributes.clear_modified();
+    }
+  }
+
+  update_flags = UPDATE_NONE;
+
+  dscene->bvh_nodes.clear_modified();
+  dscene->bvh_leaf_nodes.clear_modified();
+  dscene->object_node.clear_modified();
+  dscene->prim_type.clear_modified();
+  dscene->prim_visibility.clear_modified();
+  dscene->prim_index.clear_modified();
+  dscene->prim_object.clear_modified();
+  dscene->prim_time.clear_modified();
+  dscene->tri_verts.clear_modified();
+  dscene->tri_shader.clear_modified();
+  dscene->tri_vindex.clear_modified();
+  dscene->tri_patch.clear_modified();
+  dscene->tri_vnormal.clear_modified();
+  dscene->tri_patch_uv.clear_modified();
+  dscene->curves.clear_modified();
+  dscene->curve_keys.clear_modified();
+  dscene->curve_segments.clear_modified();
+  dscene->patches.clear_modified();
+  dscene->attributes_map.clear_modified();
+  dscene->attributes_float.clear_modified();
+  dscene->attributes_float2.clear_modified();
+  dscene->attributes_float3.clear_modified();
+  dscene->attributes_uchar4.clear_modified();
+}
+
+void GeometryManager::device_free(Device *device, DeviceScene *dscene, bool force_free)
+{
+  dscene->bvh_nodes.free_if_need_realloc(force_free);
+  dscene->bvh_leaf_nodes.free_if_need_realloc(force_free);
+  dscene->object_node.free_if_need_realloc(force_free);
+  dscene->prim_type.free_if_need_realloc(force_free);
+  dscene->prim_visibility.free_if_need_realloc(force_free);
+  dscene->prim_index.free_if_need_realloc(force_free);
+  dscene->prim_object.free_if_need_realloc(force_free);
+  dscene->prim_time.free_if_need_realloc(force_free);
+  dscene->tri_verts.free_if_need_realloc(force_free);
+  dscene->tri_shader.free_if_need_realloc(force_free);
+  dscene->tri_vnormal.free_if_need_realloc(force_free);
+  dscene->tri_vindex.free_if_need_realloc(force_free);
+  dscene->tri_patch.free_if_need_realloc(force_free);
+  dscene->tri_patch_uv.free_if_need_realloc(force_free);
+  dscene->curves.free_if_need_realloc(force_free);
+  dscene->curve_keys.free_if_need_realloc(force_free);
+  dscene->curve_segments.free_if_need_realloc(force_free);
+  dscene->patches.free_if_need_realloc(force_free);
+  dscene->attributes_map.free_if_need_realloc(force_free);
+  dscene->attributes_float.free_if_need_realloc(force_free);
+  dscene->attributes_float2.free_if_need_realloc(force_free);
+  dscene->attributes_float3.free_if_need_realloc(force_free);
+  dscene->attributes_uchar4.free_if_need_realloc(force_free);
+
+  /* Signal for shaders like displacement not to do ray tracing. */
+  dscene->data.bvh.bvh_layout = BVH_LAYOUT_NONE;
+
+#ifdef WITH_OSL
+  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
+
+  if (og) {
+    og->object_name_map.clear();
+    og->attribute_map.clear();
+    og->object_names.clear();
+  }
+#else
+  (void)device;
+#endif
+}
+
+void GeometryManager::tag_update(Scene *scene, uint32_t flag)
+{
+  update_flags |= flag;
+
+  /* do not tag the object manager for an update if it is the one who tagged us */
+  if ((flag & OBJECT_MANAGER) == 0) {
+    scene->object_manager->tag_update(scene, ObjectManager::GEOMETRY_MANAGER);
+  }
+}
+
+bool GeometryManager::need_update() const
+{
+  return update_flags != UPDATE_NONE;
+}
+
+void GeometryManager::collect_statistics(const Scene *scene, RenderStats *stats)
+{
+  foreach (Geometry *geometry, scene->geometry) {
+    stats->mesh.geometry.add_entry(
+        NamedSizeEntry(string(geometry->name.c_str()), geometry->get_total_size_in_bytes()));
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/geometry.h b/intern/cycles/scene/geometry.h
new file mode 100644
index 00000000000..8133132229e
--- /dev/null
+++ b/intern/cycles/scene/geometry.h
@@ -0,0 +1,272 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __GEOMETRY_H__
+#define __GEOMETRY_H__
+
+#include "graph/node.h"
+
+#include "bvh/bvh_params.h"
+
+#include "scene/attribute.h"
+
+#include "util/util_boundbox.h"
+#include "util/util_set.h"
+#include "util/util_transform.h"
+#include "util/util_types.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class BVH;
+class Device;
+class DeviceScene;
+class Mesh;
+class Progress;
+class RenderStats;
+class Scene;
+class SceneParams;
+class Shader;
+class Volume;
+struct PackedBVH;
+
+/* Geometry
+ *
+ * Base class for geometric types like Mesh and Hair. */
+
+class Geometry : public Node {
+ public:
+  NODE_ABSTRACT_DECLARE
+
+  enum Type {
+    MESH,
+    HAIR,
+    VOLUME,
+  };
+
+  Type geometry_type;
+
+  /* Attributes */
+  AttributeSet attributes;
+
+  /* Shaders */
+  NODE_SOCKET_API_ARRAY(array<Node *>, used_shaders)
+
+  /* Transform */
+  BoundBox bounds;
+  bool transform_applied;
+  bool transform_negative_scaled;
+  Transform transform_normal;
+
+  /* Motion Blur */
+  NODE_SOCKET_API(uint, motion_steps)
+  NODE_SOCKET_API(bool, use_motion_blur)
+
+  /* Maximum number of motion steps supported (due to Embree). */
+  static const uint MAX_MOTION_STEPS = 129;
+
+  /* BVH */
+  BVH *bvh;
+  size_t attr_map_offset;
+  size_t prim_offset;
+
+  /* Shader Properties */
+  bool has_volume;         /* Set in the device_update_flags(). */
+  bool has_surface_bssrdf; /* Set in the device_update_flags(). */
+
+  /* Update Flags */
+  bool need_update_rebuild;
+  bool need_update_bvh_for_offset;
+
+  /* Index into scene->geometry (only valid during update) */
+  size_t index;
+
+  /* Constructor/Destructor */
+  explicit Geometry(const NodeType *node_type, const Type type);
+  virtual ~Geometry();
+
+  /* Geometry */
+  virtual void clear(bool preserve_shaders = false);
+  virtual void compute_bounds() = 0;
+  virtual void apply_transform(const Transform &tfm, const bool apply_to_motion) = 0;
+
+  /* Attribute Requests */
+  bool need_attribute(Scene *scene, AttributeStandard std);
+  bool need_attribute(Scene *scene, ustring name);
+
+  AttributeRequestSet needed_attributes();
+
+  /* UDIM */
+  virtual void get_uv_tiles(ustring map, unordered_set<int> &tiles) = 0;
+
+  /* Convert between normalized -1..1 motion time and index in the
+   * VERTEX_MOTION attribute. */
+  float motion_time(int step) const;
+  int motion_step(float time) const;
+
+  /* BVH */
+  void compute_bvh(Device *device,
+                   DeviceScene *dscene,
+                   SceneParams *params,
+                   Progress *progress,
+                   int n,
+                   int total);
+
+  virtual PrimitiveType primitive_type() const = 0;
+
+  /* Check whether the geometry should have own BVH built separately. Briefly,
+   * own BVH is needed for geometry, if:
+   *
+   * - It is instanced multiple times, so each instance object should share the
+   *   same BVH tree.
+   * - Special ray intersection is needed, for example to limit subsurface rays
+   *   to only the geometry itself.
+   * - The BVH layout requires the top level to only contain instances.
+   */
+  bool need_build_bvh(BVHLayout layout) const;
+
+  /* Test if the geometry should be treated as instanced. */
+  bool is_instanced() const;
+
+  bool has_true_displacement() const;
+  bool has_motion_blur() const;
+  bool has_voxel_attributes() const;
+
+  bool is_mesh() const
+  {
+    return geometry_type == MESH;
+  }
+
+  bool is_hair() const
+  {
+    return geometry_type == HAIR;
+  }
+
+  bool is_volume() const
+  {
+    return geometry_type == VOLUME;
+  }
+
+  /* Updates */
+  void tag_update(Scene *scene, bool rebuild);
+
+  void tag_bvh_update(bool rebuild);
+};
+
+/* Geometry Manager */
+
+class GeometryManager {
+  uint32_t update_flags;
+
+ public:
+  enum : uint32_t {
+    UV_PASS_NEEDED = (1 << 0),
+    MOTION_PASS_NEEDED = (1 << 1),
+    GEOMETRY_MODIFIED = (1 << 2),
+    OBJECT_MANAGER = (1 << 3),
+    MESH_ADDED = (1 << 4),
+    MESH_REMOVED = (1 << 5),
+    HAIR_ADDED = (1 << 6),
+    HAIR_REMOVED = (1 << 7),
+
+    SHADER_ATTRIBUTE_MODIFIED = (1 << 8),
+    SHADER_DISPLACEMENT_MODIFIED = (1 << 9),
+
+    GEOMETRY_ADDED = MESH_ADDED | HAIR_ADDED,
+    GEOMETRY_REMOVED = MESH_REMOVED | HAIR_REMOVED,
+
+    TRANSFORM_MODIFIED = (1 << 10),
+
+    VISIBILITY_MODIFIED = (1 << 11),
+
+    /* tag everything in the manager for an update */
+    UPDATE_ALL = ~0u,
+
+    UPDATE_NONE = 0u,
+  };
+
+  /* Update Flags */
+  bool need_flags_update;
+
+  /* Constructor/Destructor */
+  GeometryManager();
+  ~GeometryManager();
+
+  /* Device Updates */
+  void device_update_preprocess(Device *device, Scene *scene, Progress &progress);
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+  void device_free(Device *device, DeviceScene *dscene, bool force_free);
+
+  /* Updates */
+  void tag_update(Scene *scene, uint32_t flag);
+
+  bool need_update() const;
+
+  /* Statistics */
+  void collect_statistics(const Scene *scene, RenderStats *stats);
+
+ protected:
+  bool displace(Device *device, Scene *scene, Mesh *mesh, Progress &progress);
+
+  void create_volume_mesh(Volume *volume, Progress &progress);
+
+  /* Attributes */
+  void update_osl_attributes(Device *device,
+                             Scene *scene,
+                             vector<AttributeRequestSet> &geom_attributes);
+  void update_svm_attributes(Device *device,
+                             DeviceScene *dscene,
+                             Scene *scene,
+                             vector<AttributeRequestSet> &geom_attributes,
+                             vector<AttributeRequestSet> &object_attributes);
+
+  /* Compute verts/triangles/curves offsets in global arrays. */
+  void mesh_calc_offset(Scene *scene, BVHLayout bvh_layout);
+
+  void device_update_object(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+
+  void device_update_mesh(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+
+  void device_update_attributes(Device *device,
+                                DeviceScene *dscene,
+                                Scene *scene,
+                                Progress &progress);
+
+  void device_update_bvh(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+
+  void device_update_displacement_images(Device *device, Scene *scene, Progress &progress);
+
+  void device_update_volume_images(Device *device, Scene *scene, Progress &progress);
+
+ private:
+  static void update_attribute_element_offset(Geometry *geom,
+                                              device_vector<float> &attr_float,
+                                              size_t &attr_float_offset,
+                                              device_vector<float2> &attr_float2,
+                                              size_t &attr_float2_offset,
+                                              device_vector<float4> &attr_float3,
+                                              size_t &attr_float3_offset,
+                                              device_vector<uchar4> &attr_uchar4,
+                                              size_t &attr_uchar4_offset,
+                                              Attribute *mattr,
+                                              AttributePrimitive prim,
+                                              TypeDesc &type,
+                                              AttributeDescriptor &desc);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __GEOMETRY_H__ */
diff --git a/intern/cycles/scene/hair.cpp b/intern/cycles/scene/hair.cpp
new file mode 100644
index 00000000000..2390da5bf88
--- /dev/null
+++ b/intern/cycles/scene/hair.cpp
@@ -0,0 +1,632 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "bvh/bvh.h"
+
+#include "scene/curves.h"
+#include "scene/hair.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+
+#include "integrator/shader_eval.h"
+
+#include "util/util_progress.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Hair Curve */
+
+void Hair::Curve::bounds_grow(const int k,
+                              const float3 *curve_keys,
+                              const float *curve_radius,
+                              BoundBox &bounds) const
+{
+  float3 P[4];
+
+  P[0] = curve_keys[max(first_key + k - 1, first_key)];
+  P[1] = curve_keys[first_key + k];
+  P[2] = curve_keys[first_key + k + 1];
+  P[3] = curve_keys[min(first_key + k + 2, first_key + num_keys - 1)];
+
+  float3 lower;
+  float3 upper;
+
+  curvebounds(&lower.x, &upper.x, P, 0);
+  curvebounds(&lower.y, &upper.y, P, 1);
+  curvebounds(&lower.z, &upper.z, P, 2);
+
+  float mr = max(curve_radius[first_key + k], curve_radius[first_key + k + 1]);
+
+  bounds.grow(lower, mr);
+  bounds.grow(upper, mr);
+}
+
+void Hair::Curve::bounds_grow(const int k,
+                              const float3 *curve_keys,
+                              const float *curve_radius,
+                              const Transform &aligned_space,
+                              BoundBox &bounds) const
+{
+  float3 P[4];
+
+  P[0] = curve_keys[max(first_key + k - 1, first_key)];
+  P[1] = curve_keys[first_key + k];
+  P[2] = curve_keys[first_key + k + 1];
+  P[3] = curve_keys[min(first_key + k + 2, first_key + num_keys - 1)];
+
+  P[0] = transform_point(&aligned_space, P[0]);
+  P[1] = transform_point(&aligned_space, P[1]);
+  P[2] = transform_point(&aligned_space, P[2]);
+  P[3] = transform_point(&aligned_space, P[3]);
+
+  float3 lower;
+  float3 upper;
+
+  curvebounds(&lower.x, &upper.x, P, 0);
+  curvebounds(&lower.y, &upper.y, P, 1);
+  curvebounds(&lower.z, &upper.z, P, 2);
+
+  float mr = max(curve_radius[first_key + k], curve_radius[first_key + k + 1]);
+
+  bounds.grow(lower, mr);
+  bounds.grow(upper, mr);
+}
+
+void Hair::Curve::bounds_grow(float4 keys[4], BoundBox &bounds) const
+{
+  float3 P[4] = {
+      float4_to_float3(keys[0]),
+      float4_to_float3(keys[1]),
+      float4_to_float3(keys[2]),
+      float4_to_float3(keys[3]),
+  };
+
+  float3 lower;
+  float3 upper;
+
+  curvebounds(&lower.x, &upper.x, P, 0);
+  curvebounds(&lower.y, &upper.y, P, 1);
+  curvebounds(&lower.z, &upper.z, P, 2);
+
+  float mr = max(keys[1].w, keys[2].w);
+
+  bounds.grow(lower, mr);
+  bounds.grow(upper, mr);
+}
+
+void Hair::Curve::motion_keys(const float3 *curve_keys,
+                              const float *curve_radius,
+                              const float3 *key_steps,
+                              size_t num_curve_keys,
+                              size_t num_steps,
+                              float time,
+                              size_t k0,
+                              size_t k1,
+                              float4 r_keys[2]) const
+{
+  /* Figure out which steps we need to fetch and their interpolation factor. */
+  const size_t max_step = num_steps - 1;
+  const size_t step = min((int)(time * max_step), max_step - 1);
+  const float t = time * max_step - step;
+  /* Fetch vertex coordinates. */
+  float4 curr_keys[2];
+  float4 next_keys[2];
+  keys_for_step(
+      curve_keys, curve_radius, key_steps, num_curve_keys, num_steps, step, k0, k1, curr_keys);
+  keys_for_step(
+      curve_keys, curve_radius, key_steps, num_curve_keys, num_steps, step + 1, k0, k1, next_keys);
+  /* Interpolate between steps. */
+  r_keys[0] = (1.0f - t) * curr_keys[0] + t * next_keys[0];
+  r_keys[1] = (1.0f - t) * curr_keys[1] + t * next_keys[1];
+}
+
+void Hair::Curve::cardinal_motion_keys(const float3 *curve_keys,
+                                       const float *curve_radius,
+                                       const float3 *key_steps,
+                                       size_t num_curve_keys,
+                                       size_t num_steps,
+                                       float time,
+                                       size_t k0,
+                                       size_t k1,
+                                       size_t k2,
+                                       size_t k3,
+                                       float4 r_keys[4]) const
+{
+  /* Figure out which steps we need to fetch and their interpolation factor. */
+  const size_t max_step = num_steps - 1;
+  const size_t step = min((int)(time * max_step), max_step - 1);
+  const float t = time * max_step - step;
+  /* Fetch vertex coordinates. */
+  float4 curr_keys[4];
+  float4 next_keys[4];
+  cardinal_keys_for_step(curve_keys,
+                         curve_radius,
+                         key_steps,
+                         num_curve_keys,
+                         num_steps,
+                         step,
+                         k0,
+                         k1,
+                         k2,
+                         k3,
+                         curr_keys);
+  cardinal_keys_for_step(curve_keys,
+                         curve_radius,
+                         key_steps,
+                         num_curve_keys,
+                         num_steps,
+                         step + 1,
+                         k0,
+                         k1,
+                         k2,
+                         k3,
+                         next_keys);
+  /* Interpolate between steps. */
+  r_keys[0] = (1.0f - t) * curr_keys[0] + t * next_keys[0];
+  r_keys[1] = (1.0f - t) * curr_keys[1] + t * next_keys[1];
+  r_keys[2] = (1.0f - t) * curr_keys[2] + t * next_keys[2];
+  r_keys[3] = (1.0f - t) * curr_keys[3] + t * next_keys[3];
+}
+
+void Hair::Curve::keys_for_step(const float3 *curve_keys,
+                                const float *curve_radius,
+                                const float3 *key_steps,
+                                size_t num_curve_keys,
+                                size_t num_steps,
+                                size_t step,
+                                size_t k0,
+                                size_t k1,
+                                float4 r_keys[2]) const
+{
+  k0 = max(k0, 0);
+  k1 = min(k1, num_keys - 1);
+  const size_t center_step = ((num_steps - 1) / 2);
+  if (step == center_step) {
+    /* Center step: regular key location. */
+    /* TODO(sergey): Consider adding make_float4(float3, float)
+     * function.
+     */
+    r_keys[0] = make_float4(curve_keys[first_key + k0].x,
+                            curve_keys[first_key + k0].y,
+                            curve_keys[first_key + k0].z,
+                            curve_radius[first_key + k0]);
+    r_keys[1] = make_float4(curve_keys[first_key + k1].x,
+                            curve_keys[first_key + k1].y,
+                            curve_keys[first_key + k1].z,
+                            curve_radius[first_key + k1]);
+  }
+  else {
+    /* Center step is not stored in this array. */
+    if (step > center_step) {
+      step--;
+    }
+    const size_t offset = first_key + step * num_curve_keys;
+    r_keys[0] = make_float4(key_steps[offset + k0].x,
+                            key_steps[offset + k0].y,
+                            key_steps[offset + k0].z,
+                            curve_radius[first_key + k0]);
+    r_keys[1] = make_float4(key_steps[offset + k1].x,
+                            key_steps[offset + k1].y,
+                            key_steps[offset + k1].z,
+                            curve_radius[first_key + k1]);
+  }
+}
+
+void Hair::Curve::cardinal_keys_for_step(const float3 *curve_keys,
+                                         const float *curve_radius,
+                                         const float3 *key_steps,
+                                         size_t num_curve_keys,
+                                         size_t num_steps,
+                                         size_t step,
+                                         size_t k0,
+                                         size_t k1,
+                                         size_t k2,
+                                         size_t k3,
+                                         float4 r_keys[4]) const
+{
+  k0 = max(k0, 0);
+  k3 = min(k3, num_keys - 1);
+  const size_t center_step = ((num_steps - 1) / 2);
+  if (step == center_step) {
+    /* Center step: regular key location. */
+    r_keys[0] = make_float4(curve_keys[first_key + k0].x,
+                            curve_keys[first_key + k0].y,
+                            curve_keys[first_key + k0].z,
+                            curve_radius[first_key + k0]);
+    r_keys[1] = make_float4(curve_keys[first_key + k1].x,
+                            curve_keys[first_key + k1].y,
+                            curve_keys[first_key + k1].z,
+                            curve_radius[first_key + k1]);
+    r_keys[2] = make_float4(curve_keys[first_key + k2].x,
+                            curve_keys[first_key + k2].y,
+                            curve_keys[first_key + k2].z,
+                            curve_radius[first_key + k2]);
+    r_keys[3] = make_float4(curve_keys[first_key + k3].x,
+                            curve_keys[first_key + k3].y,
+                            curve_keys[first_key + k3].z,
+                            curve_radius[first_key + k3]);
+  }
+  else {
+    /* Center step is not stored in this array. */
+    if (step > center_step) {
+      step--;
+    }
+    const size_t offset = first_key + step * num_curve_keys;
+    r_keys[0] = make_float4(key_steps[offset + k0].x,
+                            key_steps[offset + k0].y,
+                            key_steps[offset + k0].z,
+                            curve_radius[first_key + k0]);
+    r_keys[1] = make_float4(key_steps[offset + k1].x,
+                            key_steps[offset + k1].y,
+                            key_steps[offset + k1].z,
+                            curve_radius[first_key + k1]);
+    r_keys[2] = make_float4(key_steps[offset + k2].x,
+                            key_steps[offset + k2].y,
+                            key_steps[offset + k2].z,
+                            curve_radius[first_key + k2]);
+    r_keys[3] = make_float4(key_steps[offset + k3].x,
+                            key_steps[offset + k3].y,
+                            key_steps[offset + k3].z,
+                            curve_radius[first_key + k3]);
+  }
+}
+
+/* Hair */
+
+NODE_DEFINE(Hair)
+{
+  NodeType *type = NodeType::add("hair", create, NodeType::NONE, Geometry::get_node_base_type());
+
+  SOCKET_POINT_ARRAY(curve_keys, "Curve Keys", array<float3>());
+  SOCKET_FLOAT_ARRAY(curve_radius, "Curve Radius", array<float>());
+  SOCKET_INT_ARRAY(curve_first_key, "Curve First Key", array<int>());
+  SOCKET_INT_ARRAY(curve_shader, "Curve Shader", array<int>());
+
+  return type;
+}
+
+Hair::Hair() : Geometry(get_node_type(), Geometry::HAIR)
+{
+  curve_key_offset = 0;
+  curve_segment_offset = 0;
+  curve_shape = CURVE_RIBBON;
+}
+
+Hair::~Hair()
+{
+}
+
+void Hair::resize_curves(int numcurves, int numkeys)
+{
+  curve_keys.resize(numkeys);
+  curve_radius.resize(numkeys);
+  curve_first_key.resize(numcurves);
+  curve_shader.resize(numcurves);
+
+  attributes.resize();
+}
+
+void Hair::reserve_curves(int numcurves, int numkeys)
+{
+  curve_keys.reserve(numkeys);
+  curve_radius.reserve(numkeys);
+  curve_first_key.reserve(numcurves);
+  curve_shader.reserve(numcurves);
+
+  attributes.resize(true);
+}
+
+void Hair::clear(bool preserve_shaders)
+{
+  Geometry::clear(preserve_shaders);
+
+  curve_keys.clear();
+  curve_radius.clear();
+  curve_first_key.clear();
+  curve_shader.clear();
+
+  attributes.clear();
+}
+
+void Hair::add_curve_key(float3 co, float radius)
+{
+  curve_keys.push_back_reserved(co);
+  curve_radius.push_back_reserved(radius);
+
+  tag_curve_keys_modified();
+  tag_curve_radius_modified();
+}
+
+void Hair::add_curve(int first_key, int shader)
+{
+  curve_first_key.push_back_reserved(first_key);
+  curve_shader.push_back_reserved(shader);
+
+  tag_curve_first_key_modified();
+  tag_curve_shader_modified();
+}
+
+void Hair::copy_center_to_motion_step(const int motion_step)
+{
+  Attribute *attr_mP = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+  if (attr_mP) {
+    float3 *keys = &curve_keys[0];
+    size_t numkeys = curve_keys.size();
+    memcpy(attr_mP->data_float3() + motion_step * numkeys, keys, sizeof(float3) * numkeys);
+  }
+}
+
+void Hair::get_uv_tiles(ustring map, unordered_set<int> &tiles)
+{
+  Attribute *attr;
+
+  if (map.empty()) {
+    attr = attributes.find(ATTR_STD_UV);
+  }
+  else {
+    attr = attributes.find(map);
+  }
+
+  if (attr) {
+    attr->get_uv_tiles(this, ATTR_PRIM_GEOMETRY, tiles);
+  }
+}
+
+void Hair::compute_bounds()
+{
+  BoundBox bnds = BoundBox::empty;
+  size_t curve_keys_size = curve_keys.size();
+
+  if (curve_keys_size > 0) {
+    for (size_t i = 0; i < curve_keys_size; i++)
+      bnds.grow(curve_keys[i], curve_radius[i]);
+
+    Attribute *curve_attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+    if (use_motion_blur && curve_attr) {
+      size_t steps_size = curve_keys.size() * (motion_steps - 1);
+      float3 *key_steps = curve_attr->data_float3();
+
+      for (size_t i = 0; i < steps_size; i++)
+        bnds.grow(key_steps[i]);
+    }
+
+    if (!bnds.valid()) {
+      bnds = BoundBox::empty;
+
+      /* skip nan or inf coordinates */
+      for (size_t i = 0; i < curve_keys_size; i++)
+        bnds.grow_safe(curve_keys[i], curve_radius[i]);
+
+      if (use_motion_blur && curve_attr) {
+        size_t steps_size = curve_keys.size() * (motion_steps - 1);
+        float3 *key_steps = curve_attr->data_float3();
+
+        for (size_t i = 0; i < steps_size; i++)
+          bnds.grow_safe(key_steps[i]);
+      }
+    }
+  }
+
+  if (!bnds.valid()) {
+    /* empty mesh */
+    bnds.grow(zero_float3());
+  }
+
+  bounds = bnds;
+}
+
+void Hair::apply_transform(const Transform &tfm, const bool apply_to_motion)
+{
+  /* compute uniform scale */
+  float3 c0 = transform_get_column(&tfm, 0);
+  float3 c1 = transform_get_column(&tfm, 1);
+  float3 c2 = transform_get_column(&tfm, 2);
+  float scalar = powf(fabsf(dot(cross(c0, c1), c2)), 1.0f / 3.0f);
+
+  /* apply transform to curve keys */
+  for (size_t i = 0; i < curve_keys.size(); i++) {
+    float3 co = transform_point(&tfm, curve_keys[i]);
+    float radius = curve_radius[i] * scalar;
+
+    /* scale for curve radius is only correct for uniform scale */
+    curve_keys[i] = co;
+    curve_radius[i] = radius;
+  }
+
+  tag_curve_keys_modified();
+  tag_curve_radius_modified();
+
+  if (apply_to_motion) {
+    Attribute *curve_attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+
+    if (curve_attr) {
+      /* apply transform to motion curve keys */
+      size_t steps_size = curve_keys.size() * (motion_steps - 1);
+      float4 *key_steps = curve_attr->data_float4();
+
+      for (size_t i = 0; i < steps_size; i++) {
+        float3 co = transform_point(&tfm, float4_to_float3(key_steps[i]));
+        float radius = key_steps[i].w * scalar;
+
+        /* scale for curve radius is only correct for uniform scale */
+        key_steps[i] = float3_to_float4(co);
+        key_steps[i].w = radius;
+      }
+    }
+  }
+}
+
+void Hair::pack_curves(Scene *scene,
+                       float4 *curve_key_co,
+                       KernelCurve *curves,
+                       KernelCurveSegment *curve_segments)
+{
+  size_t curve_keys_size = curve_keys.size();
+
+  /* pack curve keys */
+  if (curve_keys_size) {
+    float3 *keys_ptr = curve_keys.data();
+    float *radius_ptr = curve_radius.data();
+
+    for (size_t i = 0; i < curve_keys_size; i++)
+      curve_key_co[i] = make_float4(keys_ptr[i].x, keys_ptr[i].y, keys_ptr[i].z, radius_ptr[i]);
+  }
+
+  /* pack curve segments */
+  const PrimitiveType type = primitive_type();
+
+  size_t curve_num = num_curves();
+  size_t index = 0;
+
+  for (size_t i = 0; i < curve_num; i++) {
+    Curve curve = get_curve(i);
+    int shader_id = curve_shader[i];
+    Shader *shader = (shader_id < used_shaders.size()) ?
+                         static_cast<Shader *>(used_shaders[shader_id]) :
+                         scene->default_surface;
+    shader_id = scene->shader_manager->get_shader_id(shader, false);
+
+    curves[i].shader_id = shader_id;
+    curves[i].first_key = curve_key_offset + curve.first_key;
+    curves[i].num_keys = curve.num_keys;
+    curves[i].type = type;
+
+    for (int k = 0; k < curve.num_segments(); ++k, ++index) {
+      curve_segments[index].prim = prim_offset + i;
+      curve_segments[index].type = PRIMITIVE_PACK_SEGMENT(type, k);
+    }
+  }
+}
+
+PrimitiveType Hair::primitive_type() const
+{
+  return has_motion_blur() ?
+             ((curve_shape == CURVE_RIBBON) ? PRIMITIVE_MOTION_CURVE_RIBBON :
+                                              PRIMITIVE_MOTION_CURVE_THICK) :
+             ((curve_shape == CURVE_RIBBON) ? PRIMITIVE_CURVE_RIBBON : PRIMITIVE_CURVE_THICK);
+}
+
+/* Fill in coordinates for curve transparency shader evaluation on device. */
+static int fill_shader_input(const Hair *hair,
+                             const int object_index,
+                             device_vector<KernelShaderEvalInput> &d_input)
+{
+  int d_input_size = 0;
+  KernelShaderEvalInput *d_input_data = d_input.data();
+
+  const int num_curves = hair->num_curves();
+  for (int i = 0; i < num_curves; i++) {
+    const Hair::Curve curve = hair->get_curve(i);
+    const int num_segments = curve.num_segments();
+
+    for (int j = 0; j < num_segments + 1; j++) {
+      KernelShaderEvalInput in;
+      in.object = object_index;
+      in.prim = hair->prim_offset + i;
+      in.u = (j < num_segments) ? 0.0f : 1.0f;
+      in.v = (j < num_segments) ? __int_as_float(j) : __int_as_float(j - 1);
+      d_input_data[d_input_size++] = in;
+    }
+  }
+
+  return d_input_size;
+}
+
+/* Read back curve transparency shader output. */
+static void read_shader_output(float *shadow_transparency,
+                               bool &is_fully_opaque,
+                               const device_vector<float> &d_output)
+{
+  const int num_keys = d_output.size();
+  const float *output_data = d_output.data();
+  bool is_opaque = true;
+
+  for (int i = 0; i < num_keys; i++) {
+    shadow_transparency[i] = output_data[i];
+    if (shadow_transparency[i] > 0.0f) {
+      is_opaque = false;
+    }
+  }
+
+  is_fully_opaque = is_opaque;
+}
+
+bool Hair::need_shadow_transparency()
+{
+  for (const Node *node : used_shaders) {
+    const Shader *shader = static_cast<const Shader *>(node);
+    if (shader->has_surface_transparent && shader->get_use_transparent_shadow()) {
+      return true;
+    }
+  }
+
+  return false;
+}
+
+bool Hair::update_shadow_transparency(Device *device, Scene *scene, Progress &progress)
+{
+  if (!need_shadow_transparency()) {
+    /* If no shaders with shadow transparency, remove attribute. */
+    Attribute *attr = attributes.find(ATTR_STD_SHADOW_TRANSPARENCY);
+    if (attr) {
+      attributes.remove(attr);
+      return true;
+    }
+    else {
+      return false;
+    }
+  }
+
+  string msg = string_printf("Computing Shadow Transparency %s", name.c_str());
+  progress.set_status("Updating Hair", msg);
+
+  /* Create shadow transparency attribute. */
+  Attribute *attr = attributes.find(ATTR_STD_SHADOW_TRANSPARENCY);
+  const bool attribute_exists = (attr != nullptr);
+  if (!attribute_exists) {
+    attr = attributes.add(ATTR_STD_SHADOW_TRANSPARENCY);
+  }
+
+  float *attr_data = attr->data_float();
+
+  /* Find object index. */
+  size_t object_index = OBJECT_NONE;
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    if (scene->objects[i]->get_geometry() == this) {
+      object_index = i;
+      break;
+    }
+  }
+
+  /* Evaluate shader on device. */
+  ShaderEval shader_eval(device, progress);
+  bool is_fully_opaque = false;
+  shader_eval.eval(SHADER_EVAL_CURVE_SHADOW_TRANSPARENCY,
+                   num_keys(),
+                   1,
+                   function_bind(&fill_shader_input, this, object_index, _1),
+                   function_bind(&read_shader_output, attr_data, is_fully_opaque, _1));
+
+  if (is_fully_opaque) {
+    attributes.remove(attr);
+    return attribute_exists;
+  }
+
+  return true;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/hair.h b/intern/cycles/scene/hair.h
new file mode 100644
index 00000000000..832015058fe
--- /dev/null
+++ b/intern/cycles/scene/hair.h
@@ -0,0 +1,164 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __HAIR_H__
+#define __HAIR_H__
+
+#include "scene/geometry.h"
+
+CCL_NAMESPACE_BEGIN
+
+struct KernelCurveSegment;
+
+class Hair : public Geometry {
+ public:
+  NODE_DECLARE
+
+  /* Hair Curve */
+  struct Curve {
+    int first_key;
+    int num_keys;
+
+    int num_segments() const
+    {
+      return num_keys - 1;
+    }
+
+    void bounds_grow(const int k,
+                     const float3 *curve_keys,
+                     const float *curve_radius,
+                     BoundBox &bounds) const;
+    void bounds_grow(float4 keys[4], BoundBox &bounds) const;
+    void bounds_grow(const int k,
+                     const float3 *curve_keys,
+                     const float *curve_radius,
+                     const Transform &aligned_space,
+                     BoundBox &bounds) const;
+
+    void motion_keys(const float3 *curve_keys,
+                     const float *curve_radius,
+                     const float3 *key_steps,
+                     size_t num_curve_keys,
+                     size_t num_steps,
+                     float time,
+                     size_t k0,
+                     size_t k1,
+                     float4 r_keys[2]) const;
+    void cardinal_motion_keys(const float3 *curve_keys,
+                              const float *curve_radius,
+                              const float3 *key_steps,
+                              size_t num_curve_keys,
+                              size_t num_steps,
+                              float time,
+                              size_t k0,
+                              size_t k1,
+                              size_t k2,
+                              size_t k3,
+                              float4 r_keys[4]) const;
+
+    void keys_for_step(const float3 *curve_keys,
+                       const float *curve_radius,
+                       const float3 *key_steps,
+                       size_t num_curve_keys,
+                       size_t num_steps,
+                       size_t step,
+                       size_t k0,
+                       size_t k1,
+                       float4 r_keys[2]) const;
+    void cardinal_keys_for_step(const float3 *curve_keys,
+                                const float *curve_radius,
+                                const float3 *key_steps,
+                                size_t num_curve_keys,
+                                size_t num_steps,
+                                size_t step,
+                                size_t k0,
+                                size_t k1,
+                                size_t k2,
+                                size_t k3,
+                                float4 r_keys[4]) const;
+  };
+
+  NODE_SOCKET_API_ARRAY(array<float3>, curve_keys)
+  NODE_SOCKET_API_ARRAY(array<float>, curve_radius)
+  NODE_SOCKET_API_ARRAY(array<int>, curve_first_key)
+  NODE_SOCKET_API_ARRAY(array<int>, curve_shader)
+
+  /* BVH */
+  size_t curve_key_offset;
+  size_t curve_segment_offset;
+  CurveShapeType curve_shape;
+
+  /* Constructor/Destructor */
+  Hair();
+  ~Hair();
+
+  /* Geometry */
+  void clear(bool preserve_shaders = false) override;
+
+  void resize_curves(int numcurves, int numkeys);
+  void reserve_curves(int numcurves, int numkeys);
+  void add_curve_key(float3 loc, float radius);
+  void add_curve(int first_key, int shader);
+
+  void copy_center_to_motion_step(const int motion_step);
+
+  void compute_bounds() override;
+  void apply_transform(const Transform &tfm, const bool apply_to_motion) override;
+
+  /* Curves */
+  Curve get_curve(size_t i) const
+  {
+    int first = curve_first_key[i];
+    int next_first = (i + 1 < curve_first_key.size()) ? curve_first_key[i + 1] : curve_keys.size();
+
+    Curve curve = {first, next_first - first};
+    return curve;
+  }
+
+  size_t num_keys() const
+  {
+    return curve_keys.size();
+  }
+
+  size_t num_curves() const
+  {
+    return curve_first_key.size();
+  }
+
+  size_t num_segments() const
+  {
+    return curve_keys.size() - curve_first_key.size();
+  }
+
+  /* UDIM */
+  void get_uv_tiles(ustring map, unordered_set<int> &tiles) override;
+
+  /* BVH */
+  void pack_curves(Scene *scene,
+                   float4 *curve_key_co,
+                   KernelCurve *curve,
+                   KernelCurveSegment *curve_segments);
+
+  PrimitiveType primitive_type() const override;
+
+  /* Attributes */
+  bool need_shadow_transparency();
+  bool update_shadow_transparency(Device *device, Scene *scene, Progress &progress);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __HAIR_H__ */
diff --git a/intern/cycles/scene/image.cpp b/intern/cycles/scene/image.cpp
new file mode 100644
index 00000000000..ac85cf5185e
--- /dev/null
+++ b/intern/cycles/scene/image.cpp
@@ -0,0 +1,905 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/image.h"
+#include "device/device.h"
+#include "scene/colorspace.h"
+#include "scene/image_oiio.h"
+#include "scene/image_vdb.h"
+#include "scene/scene.h"
+#include "scene/stats.h"
+
+#include "util/util_foreach.h"
+#include "util/util_image.h"
+#include "util/util_image_impl.h"
+#include "util/util_logging.h"
+#include "util/util_path.h"
+#include "util/util_progress.h"
+#include "util/util_task.h"
+#include "util/util_texture.h"
+#include "util/util_unique_ptr.h"
+
+#ifdef WITH_OSL
+#  include <OSL/oslexec.h>
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+namespace {
+
+/* Some helpers to silence warning in templated function. */
+bool isfinite(uchar /*value*/)
+{
+  return true;
+}
+bool isfinite(half /*value*/)
+{
+  return true;
+}
+bool isfinite(uint16_t /*value*/)
+{
+  return true;
+}
+
+const char *name_from_type(ImageDataType type)
+{
+  switch (type) {
+    case IMAGE_DATA_TYPE_FLOAT4:
+      return "float4";
+    case IMAGE_DATA_TYPE_BYTE4:
+      return "byte4";
+    case IMAGE_DATA_TYPE_HALF4:
+      return "half4";
+    case IMAGE_DATA_TYPE_FLOAT:
+      return "float";
+    case IMAGE_DATA_TYPE_BYTE:
+      return "byte";
+    case IMAGE_DATA_TYPE_HALF:
+      return "half";
+    case IMAGE_DATA_TYPE_USHORT4:
+      return "ushort4";
+    case IMAGE_DATA_TYPE_USHORT:
+      return "ushort";
+    case IMAGE_DATA_TYPE_NANOVDB_FLOAT:
+      return "nanovdb_float";
+    case IMAGE_DATA_TYPE_NANOVDB_FLOAT3:
+      return "nanovdb_float3";
+    case IMAGE_DATA_NUM_TYPES:
+      assert(!"System enumerator type, should never be used");
+      return "";
+  }
+  assert(!"Unhandled image data type");
+  return "";
+}
+
+}  // namespace
+
+/* Image Handle */
+
+ImageHandle::ImageHandle() : manager(NULL)
+{
+}
+
+ImageHandle::ImageHandle(const ImageHandle &other)
+    : tile_slots(other.tile_slots), manager(other.manager)
+{
+  /* Increase image user count. */
+  foreach (const int slot, tile_slots) {
+    manager->add_image_user(slot);
+  }
+}
+
+ImageHandle &ImageHandle::operator=(const ImageHandle &other)
+{
+  clear();
+  manager = other.manager;
+  tile_slots = other.tile_slots;
+
+  foreach (const int slot, tile_slots) {
+    manager->add_image_user(slot);
+  }
+
+  return *this;
+}
+
+ImageHandle::~ImageHandle()
+{
+  clear();
+}
+
+void ImageHandle::clear()
+{
+  foreach (const int slot, tile_slots) {
+    manager->remove_image_user(slot);
+  }
+
+  tile_slots.clear();
+  manager = NULL;
+}
+
+bool ImageHandle::empty()
+{
+  return tile_slots.empty();
+}
+
+int ImageHandle::num_tiles()
+{
+  return tile_slots.size();
+}
+
+ImageMetaData ImageHandle::metadata()
+{
+  if (tile_slots.empty()) {
+    return ImageMetaData();
+  }
+
+  ImageManager::Image *img = manager->images[tile_slots.front()];
+  manager->load_image_metadata(img);
+  return img->metadata;
+}
+
+int ImageHandle::svm_slot(const int tile_index) const
+{
+  if (tile_index >= tile_slots.size()) {
+    return -1;
+  }
+
+  if (manager->osl_texture_system) {
+    ImageManager::Image *img = manager->images[tile_slots[tile_index]];
+    if (!img->loader->osl_filepath().empty()) {
+      return -1;
+    }
+  }
+
+  return tile_slots[tile_index];
+}
+
+device_texture *ImageHandle::image_memory(const int tile_index) const
+{
+  if (tile_index >= tile_slots.size()) {
+    return NULL;
+  }
+
+  ImageManager::Image *img = manager->images[tile_slots[tile_index]];
+  return img ? img->mem : NULL;
+}
+
+VDBImageLoader *ImageHandle::vdb_loader(const int tile_index) const
+{
+  if (tile_index >= tile_slots.size()) {
+    return NULL;
+  }
+
+  ImageManager::Image *img = manager->images[tile_slots[tile_index]];
+
+  if (img == NULL) {
+    return NULL;
+  }
+
+  ImageLoader *loader = img->loader;
+
+  if (loader == NULL) {
+    return NULL;
+  }
+
+  if (loader->is_vdb_loader()) {
+    return dynamic_cast<VDBImageLoader *>(loader);
+  }
+
+  return NULL;
+}
+
+bool ImageHandle::operator==(const ImageHandle &other) const
+{
+  return manager == other.manager && tile_slots == other.tile_slots;
+}
+
+/* Image MetaData */
+
+ImageMetaData::ImageMetaData()
+    : channels(0),
+      width(0),
+      height(0),
+      depth(0),
+      byte_size(0),
+      type(IMAGE_DATA_NUM_TYPES),
+      colorspace(u_colorspace_raw),
+      colorspace_file_format(""),
+      use_transform_3d(false),
+      compress_as_srgb(false)
+{
+}
+
+bool ImageMetaData::operator==(const ImageMetaData &other) const
+{
+  return channels == other.channels && width == other.width && height == other.height &&
+         depth == other.depth && use_transform_3d == other.use_transform_3d &&
+         (!use_transform_3d || transform_3d == other.transform_3d) && type == other.type &&
+         colorspace == other.colorspace && compress_as_srgb == other.compress_as_srgb;
+}
+
+bool ImageMetaData::is_float() const
+{
+  return (type == IMAGE_DATA_TYPE_FLOAT || type == IMAGE_DATA_TYPE_FLOAT4 ||
+          type == IMAGE_DATA_TYPE_HALF || type == IMAGE_DATA_TYPE_HALF4);
+}
+
+void ImageMetaData::detect_colorspace()
+{
+  /* Convert used specified color spaces to one we know how to handle. */
+  colorspace = ColorSpaceManager::detect_known_colorspace(
+      colorspace, colorspace_file_format, is_float());
+
+  if (colorspace == u_colorspace_raw) {
+    /* Nothing to do. */
+  }
+  else if (colorspace == u_colorspace_srgb) {
+    /* Keep sRGB colorspace stored as sRGB, to save memory and/or loading time
+     * for the common case of 8bit sRGB images like PNG. */
+    compress_as_srgb = true;
+  }
+  else {
+    /* Always compress non-raw 8bit images as scene linear + sRGB, as a
+     * heuristic to keep memory usage the same without too much data loss
+     * due to quantization in common cases. */
+    compress_as_srgb = (type == IMAGE_DATA_TYPE_BYTE || type == IMAGE_DATA_TYPE_BYTE4);
+
+    /* If colorspace conversion needed, use half instead of short so we can
+     * represent HDR values that might result from conversion. */
+    if (type == IMAGE_DATA_TYPE_USHORT) {
+      type = IMAGE_DATA_TYPE_HALF;
+    }
+    else if (type == IMAGE_DATA_TYPE_USHORT4) {
+      type = IMAGE_DATA_TYPE_HALF4;
+    }
+  }
+}
+
+/* Image Loader */
+
+ImageLoader::ImageLoader()
+{
+}
+
+ustring ImageLoader::osl_filepath() const
+{
+  return ustring();
+}
+
+bool ImageLoader::equals(const ImageLoader *a, const ImageLoader *b)
+{
+  if (a == NULL && b == NULL) {
+    return true;
+  }
+  else {
+    return (a && b && typeid(*a) == typeid(*b) && a->equals(*b));
+  }
+}
+
+bool ImageLoader::is_vdb_loader() const
+{
+  return false;
+}
+
+/* Image Manager */
+
+ImageManager::ImageManager(const DeviceInfo &info)
+{
+  need_update_ = true;
+  osl_texture_system = NULL;
+  animation_frame = 0;
+
+  /* Set image limits */
+  features.has_half_float = info.has_half_images;
+  features.has_nanovdb = info.has_nanovdb;
+}
+
+ImageManager::~ImageManager()
+{
+  for (size_t slot = 0; slot < images.size(); slot++)
+    assert(!images[slot]);
+}
+
+void ImageManager::set_osl_texture_system(void *texture_system)
+{
+  osl_texture_system = texture_system;
+}
+
+bool ImageManager::set_animation_frame_update(int frame)
+{
+  if (frame != animation_frame) {
+    thread_scoped_lock device_lock(images_mutex);
+    animation_frame = frame;
+
+    for (size_t slot = 0; slot < images.size(); slot++) {
+      if (images[slot] && images[slot]->params.animated)
+        return true;
+    }
+  }
+
+  return false;
+}
+
+void ImageManager::load_image_metadata(Image *img)
+{
+  if (!img->need_metadata) {
+    return;
+  }
+
+  thread_scoped_lock image_lock(img->mutex);
+  if (!img->need_metadata) {
+    return;
+  }
+
+  ImageMetaData &metadata = img->metadata;
+  metadata = ImageMetaData();
+  metadata.colorspace = img->params.colorspace;
+
+  if (img->loader->load_metadata(features, metadata)) {
+    assert(metadata.type != IMAGE_DATA_NUM_TYPES);
+  }
+  else {
+    metadata.type = IMAGE_DATA_TYPE_BYTE4;
+  }
+
+  metadata.detect_colorspace();
+
+  assert(features.has_half_float ||
+         (metadata.type != IMAGE_DATA_TYPE_HALF4 && metadata.type != IMAGE_DATA_TYPE_HALF));
+  assert(features.has_nanovdb || (metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT ||
+                                  metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT3));
+
+  img->need_metadata = false;
+}
+
+ImageHandle ImageManager::add_image(const string &filename, const ImageParams &params)
+{
+  const int slot = add_image_slot(new OIIOImageLoader(filename), params, false);
+
+  ImageHandle handle;
+  handle.tile_slots.push_back(slot);
+  handle.manager = this;
+  return handle;
+}
+
+ImageHandle ImageManager::add_image(const string &filename,
+                                    const ImageParams &params,
+                                    const array<int> &tiles)
+{
+  ImageHandle handle;
+  handle.manager = this;
+
+  foreach (int tile, tiles) {
+    string tile_filename = filename;
+    if (tile != 0) {
+      string_replace(tile_filename, "<UDIM>", string_printf("%04d", tile));
+    }
+    const int slot = add_image_slot(new OIIOImageLoader(tile_filename), params, false);
+    handle.tile_slots.push_back(slot);
+  }
+
+  return handle;
+}
+
+ImageHandle ImageManager::add_image(ImageLoader *loader,
+                                    const ImageParams &params,
+                                    const bool builtin)
+{
+  const int slot = add_image_slot(loader, params, builtin);
+
+  ImageHandle handle;
+  handle.tile_slots.push_back(slot);
+  handle.manager = this;
+  return handle;
+}
+
+int ImageManager::add_image_slot(ImageLoader *loader,
+                                 const ImageParams &params,
+                                 const bool builtin)
+{
+  Image *img;
+  size_t slot;
+
+  thread_scoped_lock device_lock(images_mutex);
+
+  /* Find existing image. */
+  for (slot = 0; slot < images.size(); slot++) {
+    img = images[slot];
+    if (img && ImageLoader::equals(img->loader, loader) && img->params == params) {
+      img->users++;
+      delete loader;
+      return slot;
+    }
+  }
+
+  /* Find free slot. */
+  for (slot = 0; slot < images.size(); slot++) {
+    if (!images[slot])
+      break;
+  }
+
+  if (slot == images.size()) {
+    images.resize(images.size() + 1);
+  }
+
+  /* Add new image. */
+  img = new Image();
+  img->params = params;
+  img->loader = loader;
+  img->need_metadata = true;
+  img->need_load = !(osl_texture_system && !img->loader->osl_filepath().empty());
+  img->builtin = builtin;
+  img->users = 1;
+  img->mem = NULL;
+
+  images[slot] = img;
+
+  need_update_ = true;
+
+  return slot;
+}
+
+void ImageManager::add_image_user(int slot)
+{
+  thread_scoped_lock device_lock(images_mutex);
+  Image *image = images[slot];
+  assert(image && image->users >= 1);
+
+  image->users++;
+}
+
+void ImageManager::remove_image_user(int slot)
+{
+  thread_scoped_lock device_lock(images_mutex);
+  Image *image = images[slot];
+  assert(image && image->users >= 1);
+
+  /* decrement user count */
+  image->users--;
+
+  /* don't remove immediately, rather do it all together later on. one of
+   * the reasons for this is that on shader changes we add and remove nodes
+   * that use them, but we do not want to reload the image all the time. */
+  if (image->users == 0)
+    need_update_ = true;
+}
+
+static bool image_associate_alpha(ImageManager::Image *img)
+{
+  /* For typical RGBA images we let OIIO convert to associated alpha,
+   * but some types we want to leave the RGB channels untouched. */
+  return !(ColorSpaceManager::colorspace_is_data(img->params.colorspace) ||
+           img->params.alpha_type == IMAGE_ALPHA_IGNORE ||
+           img->params.alpha_type == IMAGE_ALPHA_CHANNEL_PACKED);
+}
+
+template<TypeDesc::BASETYPE FileFormat, typename StorageType>
+bool ImageManager::file_load_image(Image *img, int texture_limit)
+{
+  /* Ignore empty images. */
+  if (!(img->metadata.channels > 0)) {
+    return false;
+  }
+
+  /* Get metadata. */
+  int width = img->metadata.width;
+  int height = img->metadata.height;
+  int depth = img->metadata.depth;
+  int components = img->metadata.channels;
+
+  /* Read pixels. */
+  vector<StorageType> pixels_storage;
+  StorageType *pixels;
+  const size_t max_size = max(max(width, height), depth);
+  if (max_size == 0) {
+    /* Don't bother with empty images. */
+    return false;
+  }
+
+  /* Allocate memory as needed, may be smaller to resize down. */
+  if (texture_limit > 0 && max_size > texture_limit) {
+    pixels_storage.resize(((size_t)width) * height * depth * 4);
+    pixels = &pixels_storage[0];
+  }
+  else {
+    thread_scoped_lock device_lock(device_mutex);
+    pixels = (StorageType *)img->mem->alloc(width, height, depth);
+  }
+
+  if (pixels == NULL) {
+    /* Could be that we've run out of memory. */
+    return false;
+  }
+
+  const size_t num_pixels = ((size_t)width) * height * depth;
+  img->loader->load_pixels(
+      img->metadata, pixels, num_pixels * components, image_associate_alpha(img));
+
+  /* The kernel can handle 1 and 4 channel images. Anything that is not a single
+   * channel image is converted to RGBA format. */
+  bool is_rgba = (img->metadata.type == IMAGE_DATA_TYPE_FLOAT4 ||
+                  img->metadata.type == IMAGE_DATA_TYPE_HALF4 ||
+                  img->metadata.type == IMAGE_DATA_TYPE_BYTE4 ||
+                  img->metadata.type == IMAGE_DATA_TYPE_USHORT4);
+
+  if (is_rgba) {
+    const StorageType one = util_image_cast_from_float<StorageType>(1.0f);
+
+    if (components == 2) {
+      /* Grayscale + alpha to RGBA. */
+      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
+        pixels[i * 4 + 3] = pixels[i * 2 + 1];
+        pixels[i * 4 + 2] = pixels[i * 2 + 0];
+        pixels[i * 4 + 1] = pixels[i * 2 + 0];
+        pixels[i * 4 + 0] = pixels[i * 2 + 0];
+      }
+    }
+    else if (components == 3) {
+      /* RGB to RGBA. */
+      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
+        pixels[i * 4 + 3] = one;
+        pixels[i * 4 + 2] = pixels[i * 3 + 2];
+        pixels[i * 4 + 1] = pixels[i * 3 + 1];
+        pixels[i * 4 + 0] = pixels[i * 3 + 0];
+      }
+    }
+    else if (components == 1) {
+      /* Grayscale to RGBA. */
+      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
+        pixels[i * 4 + 3] = one;
+        pixels[i * 4 + 2] = pixels[i];
+        pixels[i * 4 + 1] = pixels[i];
+        pixels[i * 4 + 0] = pixels[i];
+      }
+    }
+
+    /* Disable alpha if requested by the user. */
+    if (img->params.alpha_type == IMAGE_ALPHA_IGNORE) {
+      for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
+        pixels[i * 4 + 3] = one;
+      }
+    }
+
+    if (img->metadata.colorspace != u_colorspace_raw &&
+        img->metadata.colorspace != u_colorspace_srgb) {
+      /* Convert to scene linear. */
+      ColorSpaceManager::to_scene_linear(
+          img->metadata.colorspace, pixels, num_pixels, img->metadata.compress_as_srgb);
+    }
+  }
+
+  /* Make sure we don't have buggy values. */
+  if (FileFormat == TypeDesc::FLOAT) {
+    /* For RGBA buffers we put all channels to 0 if either of them is not
+     * finite. This way we avoid possible artifacts caused by fully changed
+     * hue. */
+    if (is_rgba) {
+      for (size_t i = 0; i < num_pixels; i += 4) {
+        StorageType *pixel = &pixels[i * 4];
+        if (!isfinite(pixel[0]) || !isfinite(pixel[1]) || !isfinite(pixel[2]) ||
+            !isfinite(pixel[3])) {
+          pixel[0] = 0;
+          pixel[1] = 0;
+          pixel[2] = 0;
+          pixel[3] = 0;
+        }
+      }
+    }
+    else {
+      for (size_t i = 0; i < num_pixels; ++i) {
+        StorageType *pixel = &pixels[i];
+        if (!isfinite(pixel[0])) {
+          pixel[0] = 0;
+        }
+      }
+    }
+  }
+
+  /* Scale image down if needed. */
+  if (pixels_storage.size() > 0) {
+    float scale_factor = 1.0f;
+    while (max_size * scale_factor > texture_limit) {
+      scale_factor *= 0.5f;
+    }
+    VLOG(1) << "Scaling image " << img->loader->name() << " by a factor of " << scale_factor
+            << ".";
+    vector<StorageType> scaled_pixels;
+    size_t scaled_width, scaled_height, scaled_depth;
+    util_image_resize_pixels(pixels_storage,
+                             width,
+                             height,
+                             depth,
+                             is_rgba ? 4 : 1,
+                             scale_factor,
+                             &scaled_pixels,
+                             &scaled_width,
+                             &scaled_height,
+                             &scaled_depth);
+
+    StorageType *texture_pixels;
+
+    {
+      thread_scoped_lock device_lock(device_mutex);
+      texture_pixels = (StorageType *)img->mem->alloc(scaled_width, scaled_height, scaled_depth);
+    }
+
+    memcpy(texture_pixels, &scaled_pixels[0], scaled_pixels.size() * sizeof(StorageType));
+  }
+
+  return true;
+}
+
+void ImageManager::device_load_image(Device *device, Scene *scene, int slot, Progress *progress)
+{
+  if (progress->get_cancel()) {
+    return;
+  }
+
+  Image *img = images[slot];
+
+  progress->set_status("Updating Images", "Loading " + img->loader->name());
+
+  const int texture_limit = scene->params.texture_limit;
+
+  load_image_metadata(img);
+  ImageDataType type = img->metadata.type;
+
+  /* Name for debugging. */
+  img->mem_name = string_printf("__tex_image_%s_%03d", name_from_type(type), slot);
+
+  /* Free previous texture in slot. */
+  if (img->mem) {
+    thread_scoped_lock device_lock(device_mutex);
+    delete img->mem;
+    img->mem = NULL;
+  }
+
+  img->mem = new device_texture(
+      device, img->mem_name.c_str(), slot, type, img->params.interpolation, img->params.extension);
+  img->mem->info.use_transform_3d = img->metadata.use_transform_3d;
+  img->mem->info.transform_3d = img->metadata.transform_3d;
+
+  /* Create new texture. */
+  if (type == IMAGE_DATA_TYPE_FLOAT4) {
+    if (!file_load_image<TypeDesc::FLOAT, float>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      float *pixels = (float *)img->mem->alloc(1, 1);
+
+      pixels[0] = TEX_IMAGE_MISSING_R;
+      pixels[1] = TEX_IMAGE_MISSING_G;
+      pixels[2] = TEX_IMAGE_MISSING_B;
+      pixels[3] = TEX_IMAGE_MISSING_A;
+    }
+  }
+  else if (type == IMAGE_DATA_TYPE_FLOAT) {
+    if (!file_load_image<TypeDesc::FLOAT, float>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      float *pixels = (float *)img->mem->alloc(1, 1);
+
+      pixels[0] = TEX_IMAGE_MISSING_R;
+    }
+  }
+  else if (type == IMAGE_DATA_TYPE_BYTE4) {
+    if (!file_load_image<TypeDesc::UINT8, uchar>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      uchar *pixels = (uchar *)img->mem->alloc(1, 1);
+
+      pixels[0] = (TEX_IMAGE_MISSING_R * 255);
+      pixels[1] = (TEX_IMAGE_MISSING_G * 255);
+      pixels[2] = (TEX_IMAGE_MISSING_B * 255);
+      pixels[3] = (TEX_IMAGE_MISSING_A * 255);
+    }
+  }
+  else if (type == IMAGE_DATA_TYPE_BYTE) {
+    if (!file_load_image<TypeDesc::UINT8, uchar>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      uchar *pixels = (uchar *)img->mem->alloc(1, 1);
+
+      pixels[0] = (TEX_IMAGE_MISSING_R * 255);
+    }
+  }
+  else if (type == IMAGE_DATA_TYPE_HALF4) {
+    if (!file_load_image<TypeDesc::HALF, half>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      half *pixels = (half *)img->mem->alloc(1, 1);
+
+      pixels[0] = TEX_IMAGE_MISSING_R;
+      pixels[1] = TEX_IMAGE_MISSING_G;
+      pixels[2] = TEX_IMAGE_MISSING_B;
+      pixels[3] = TEX_IMAGE_MISSING_A;
+    }
+  }
+  else if (type == IMAGE_DATA_TYPE_USHORT) {
+    if (!file_load_image<TypeDesc::USHORT, uint16_t>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      uint16_t *pixels = (uint16_t *)img->mem->alloc(1, 1);
+
+      pixels[0] = (TEX_IMAGE_MISSING_R * 65535);
+    }
+  }
+  else if (type == IMAGE_DATA_TYPE_USHORT4) {
+    if (!file_load_image<TypeDesc::USHORT, uint16_t>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      uint16_t *pixels = (uint16_t *)img->mem->alloc(1, 1);
+
+      pixels[0] = (TEX_IMAGE_MISSING_R * 65535);
+      pixels[1] = (TEX_IMAGE_MISSING_G * 65535);
+      pixels[2] = (TEX_IMAGE_MISSING_B * 65535);
+      pixels[3] = (TEX_IMAGE_MISSING_A * 65535);
+    }
+  }
+  else if (type == IMAGE_DATA_TYPE_HALF) {
+    if (!file_load_image<TypeDesc::HALF, half>(img, texture_limit)) {
+      /* on failure to load, we set a 1x1 pixels pink image */
+      thread_scoped_lock device_lock(device_mutex);
+      half *pixels = (half *)img->mem->alloc(1, 1);
+
+      pixels[0] = TEX_IMAGE_MISSING_R;
+    }
+  }
+#ifdef WITH_NANOVDB
+  else if (type == IMAGE_DATA_TYPE_NANOVDB_FLOAT || type == IMAGE_DATA_TYPE_NANOVDB_FLOAT3) {
+    thread_scoped_lock device_lock(device_mutex);
+    void *pixels = img->mem->alloc(img->metadata.byte_size, 0);
+
+    if (pixels != NULL) {
+      img->loader->load_pixels(img->metadata, pixels, img->metadata.byte_size, false);
+    }
+  }
+#endif
+
+  {
+    thread_scoped_lock device_lock(device_mutex);
+    img->mem->copy_to_device();
+  }
+
+  /* Cleanup memory in image loader. */
+  img->loader->cleanup();
+  img->need_load = false;
+}
+
+void ImageManager::device_free_image(Device *, int slot)
+{
+  Image *img = images[slot];
+  if (img == NULL) {
+    return;
+  }
+
+  if (osl_texture_system) {
+#ifdef WITH_OSL
+    ustring filepath = img->loader->osl_filepath();
+    if (!filepath.empty()) {
+      ((OSL::TextureSystem *)osl_texture_system)->invalidate(filepath);
+    }
+#endif
+  }
+
+  if (img->mem) {
+    thread_scoped_lock device_lock(device_mutex);
+    delete img->mem;
+  }
+
+  delete img->loader;
+  delete img;
+  images[slot] = NULL;
+}
+
+void ImageManager::device_update(Device *device, Scene *scene, Progress &progress)
+{
+  if (!need_update()) {
+    return;
+  }
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->image.times.add_entry({"device_update", time});
+    }
+  });
+
+  TaskPool pool;
+  for (size_t slot = 0; slot < images.size(); slot++) {
+    Image *img = images[slot];
+    if (img && img->users == 0) {
+      device_free_image(device, slot);
+    }
+    else if (img && img->need_load) {
+      pool.push(
+          function_bind(&ImageManager::device_load_image, this, device, scene, slot, &progress));
+    }
+  }
+
+  pool.wait_work();
+
+  need_update_ = false;
+}
+
+void ImageManager::device_update_slot(Device *device, Scene *scene, int slot, Progress *progress)
+{
+  Image *img = images[slot];
+  assert(img != NULL);
+
+  if (img->users == 0) {
+    device_free_image(device, slot);
+  }
+  else if (img->need_load) {
+    device_load_image(device, scene, slot, progress);
+  }
+}
+
+void ImageManager::device_load_builtin(Device *device, Scene *scene, Progress &progress)
+{
+  /* Load only builtin images, Blender needs this to load evaluated
+   * scene data from depsgraph before it is freed. */
+  if (!need_update()) {
+    return;
+  }
+
+  TaskPool pool;
+  for (size_t slot = 0; slot < images.size(); slot++) {
+    Image *img = images[slot];
+    if (img && img->need_load && img->builtin) {
+      pool.push(
+          function_bind(&ImageManager::device_load_image, this, device, scene, slot, &progress));
+    }
+  }
+
+  pool.wait_work();
+}
+
+void ImageManager::device_free_builtin(Device *device)
+{
+  for (size_t slot = 0; slot < images.size(); slot++) {
+    Image *img = images[slot];
+    if (img && img->builtin) {
+      device_free_image(device, slot);
+    }
+  }
+}
+
+void ImageManager::device_free(Device *device)
+{
+  for (size_t slot = 0; slot < images.size(); slot++) {
+    device_free_image(device, slot);
+  }
+  images.clear();
+}
+
+void ImageManager::collect_statistics(RenderStats *stats)
+{
+  foreach (const Image *image, images) {
+    stats->image.textures.add_entry(
+        NamedSizeEntry(image->loader->name(), image->mem->memory_size()));
+  }
+}
+
+void ImageManager::tag_update()
+{
+  need_update_ = true;
+}
+
+bool ImageManager::need_update() const
+{
+  return need_update_;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/image.h b/intern/cycles/scene/image.h
new file mode 100644
index 00000000000..0c0bbff170a
--- /dev/null
+++ b/intern/cycles/scene/image.h
@@ -0,0 +1,249 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __IMAGE_H__
+#define __IMAGE_H__
+
+#include "device/device_memory.h"
+
+#include "scene/colorspace.h"
+
+#include "util/util_string.h"
+#include "util/util_thread.h"
+#include "util/util_transform.h"
+#include "util/util_unique_ptr.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceInfo;
+class ImageHandle;
+class ImageKey;
+class ImageMetaData;
+class ImageManager;
+class Progress;
+class RenderStats;
+class Scene;
+class ColorSpaceProcessor;
+class VDBImageLoader;
+
+/* Image Parameters */
+class ImageParams {
+ public:
+  bool animated;
+  InterpolationType interpolation;
+  ExtensionType extension;
+  ImageAlphaType alpha_type;
+  ustring colorspace;
+  float frame;
+
+  ImageParams()
+      : animated(false),
+        interpolation(INTERPOLATION_LINEAR),
+        extension(EXTENSION_CLIP),
+        alpha_type(IMAGE_ALPHA_AUTO),
+        colorspace(u_colorspace_raw),
+        frame(0.0f)
+  {
+  }
+
+  bool operator==(const ImageParams &other) const
+  {
+    return (animated == other.animated && interpolation == other.interpolation &&
+            extension == other.extension && alpha_type == other.alpha_type &&
+            colorspace == other.colorspace && frame == other.frame);
+  }
+};
+
+/* Image MetaData
+ *
+ * Information about the image that is available before the image pixels are loaded. */
+class ImageMetaData {
+ public:
+  /* Set by ImageLoader.load_metadata(). */
+  int channels;
+  size_t width, height, depth;
+  size_t byte_size;
+  ImageDataType type;
+
+  /* Optional color space, defaults to raw. */
+  ustring colorspace;
+  const char *colorspace_file_format;
+
+  /* Optional transform for 3D images. */
+  bool use_transform_3d;
+  Transform transform_3d;
+
+  /* Automatically set. */
+  bool compress_as_srgb;
+
+  ImageMetaData();
+  bool operator==(const ImageMetaData &other) const;
+  bool is_float() const;
+  void detect_colorspace();
+};
+
+/* Information about supported features that Image loaders can use. */
+class ImageDeviceFeatures {
+ public:
+  bool has_half_float;
+  bool has_nanovdb;
+};
+
+/* Image loader base class, that can be subclassed to load image data
+ * from custom sources (file, memory, procedurally generated, etc). */
+class ImageLoader {
+ public:
+  ImageLoader();
+  virtual ~ImageLoader(){};
+
+  /* Load metadata without actual image yet, should be fast. */
+  virtual bool load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata) = 0;
+
+  /* Load actual image contents. */
+  virtual bool load_pixels(const ImageMetaData &metadata,
+                           void *pixels,
+                           const size_t pixels_size,
+                           const bool associate_alpha) = 0;
+
+  /* Name for logs and stats. */
+  virtual string name() const = 0;
+
+  /* Optional for OSL texture cache. */
+  virtual ustring osl_filepath() const;
+
+  /* Free any memory used for loading metadata and pixels. */
+  virtual void cleanup(){};
+
+  /* Compare avoid loading the same image multiple times. */
+  virtual bool equals(const ImageLoader &other) const = 0;
+  static bool equals(const ImageLoader *a, const ImageLoader *b);
+
+  virtual bool is_vdb_loader() const;
+
+  /* Work around for no RTTI. */
+};
+
+/* Image Handle
+ *
+ * Access handle for image in the image manager. Multiple shader nodes may
+ * share the same image, and this class handles reference counting for that. */
+class ImageHandle {
+ public:
+  ImageHandle();
+  ImageHandle(const ImageHandle &other);
+  ImageHandle &operator=(const ImageHandle &other);
+  ~ImageHandle();
+
+  bool operator==(const ImageHandle &other) const;
+
+  void clear();
+
+  bool empty();
+  int num_tiles();
+
+  ImageMetaData metadata();
+  int svm_slot(const int tile_index = 0) const;
+  device_texture *image_memory(const int tile_index = 0) const;
+
+  VDBImageLoader *vdb_loader(const int tile_index = 0) const;
+
+ protected:
+  vector<int> tile_slots;
+  ImageManager *manager;
+
+  friend class ImageManager;
+};
+
+/* Image Manager
+ *
+ * Handles loading and storage of all images in the scene. This includes 2D
+ * texture images and 3D volume images. */
+class ImageManager {
+ public:
+  explicit ImageManager(const DeviceInfo &info);
+  ~ImageManager();
+
+  ImageHandle add_image(const string &filename, const ImageParams &params);
+  ImageHandle add_image(const string &filename,
+                        const ImageParams &params,
+                        const array<int> &tiles);
+  ImageHandle add_image(ImageLoader *loader, const ImageParams &params, const bool builtin = true);
+
+  void device_update(Device *device, Scene *scene, Progress &progress);
+  void device_update_slot(Device *device, Scene *scene, int slot, Progress *progress);
+  void device_free(Device *device);
+
+  void device_load_builtin(Device *device, Scene *scene, Progress &progress);
+  void device_free_builtin(Device *device);
+
+  void set_osl_texture_system(void *texture_system);
+  bool set_animation_frame_update(int frame);
+
+  void collect_statistics(RenderStats *stats);
+
+  void tag_update();
+
+  bool need_update() const;
+
+  struct Image {
+    ImageParams params;
+    ImageMetaData metadata;
+    ImageLoader *loader;
+
+    float frame;
+    bool need_metadata;
+    bool need_load;
+    bool builtin;
+
+    string mem_name;
+    device_texture *mem;
+
+    int users;
+    thread_mutex mutex;
+  };
+
+ private:
+  bool need_update_;
+
+  ImageDeviceFeatures features;
+
+  thread_mutex device_mutex;
+  thread_mutex images_mutex;
+  int animation_frame;
+
+  vector<Image *> images;
+  void *osl_texture_system;
+
+  int add_image_slot(ImageLoader *loader, const ImageParams &params, const bool builtin);
+  void add_image_user(int slot);
+  void remove_image_user(int slot);
+
+  void load_image_metadata(Image *img);
+
+  template<TypeDesc::BASETYPE FileFormat, typename StorageType>
+  bool file_load_image(Image *img, int texture_limit);
+
+  void device_load_image(Device *device, Scene *scene, int slot, Progress *progress);
+  void device_free_image(Device *device, int slot);
+
+  friend class ImageHandle;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __IMAGE_H__ */
diff --git a/intern/cycles/scene/image_oiio.cpp b/intern/cycles/scene/image_oiio.cpp
new file mode 100644
index 00000000000..256a7aeb7d4
--- /dev/null
+++ b/intern/cycles/scene/image_oiio.cpp
@@ -0,0 +1,238 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/image_oiio.h"
+
+#include "util/util_image.h"
+#include "util/util_logging.h"
+#include "util/util_path.h"
+
+CCL_NAMESPACE_BEGIN
+
+OIIOImageLoader::OIIOImageLoader(const string &filepath) : filepath(filepath)
+{
+}
+
+OIIOImageLoader::~OIIOImageLoader()
+{
+}
+
+bool OIIOImageLoader::load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata)
+{
+  /* Perform preliminary checks, with meaningful logging. */
+  if (!path_exists(filepath.string())) {
+    VLOG(1) << "File '" << filepath.string() << "' does not exist.";
+    return false;
+  }
+  if (path_is_directory(filepath.string())) {
+    VLOG(1) << "File '" << filepath.string() << "' is a directory, can't use as image.";
+    return false;
+  }
+
+  unique_ptr<ImageInput> in(ImageInput::create(filepath.string()));
+
+  if (!in) {
+    return false;
+  }
+
+  ImageSpec spec;
+  if (!in->open(filepath.string(), spec)) {
+    return false;
+  }
+
+  metadata.width = spec.width;
+  metadata.height = spec.height;
+  metadata.depth = spec.depth;
+  metadata.compress_as_srgb = false;
+
+  /* Check the main format, and channel formats. */
+  size_t channel_size = spec.format.basesize();
+
+  bool is_float = false;
+  bool is_half = false;
+
+  if (spec.format.is_floating_point()) {
+    is_float = true;
+  }
+
+  for (size_t channel = 0; channel < spec.channelformats.size(); channel++) {
+    channel_size = max(channel_size, spec.channelformats[channel].basesize());
+    if (spec.channelformats[channel].is_floating_point()) {
+      is_float = true;
+    }
+  }
+
+  /* check if it's half float */
+  if (spec.format == TypeDesc::HALF && features.has_half_float) {
+    is_half = true;
+  }
+
+  /* set type and channels */
+  metadata.channels = spec.nchannels;
+
+  if (is_half) {
+    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_HALF4 : IMAGE_DATA_TYPE_HALF;
+  }
+  else if (is_float) {
+    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_FLOAT4 : IMAGE_DATA_TYPE_FLOAT;
+  }
+  else if (spec.format == TypeDesc::USHORT) {
+    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_USHORT4 : IMAGE_DATA_TYPE_USHORT;
+  }
+  else {
+    metadata.type = (metadata.channels > 1) ? IMAGE_DATA_TYPE_BYTE4 : IMAGE_DATA_TYPE_BYTE;
+  }
+
+  metadata.colorspace_file_format = in->format_name();
+
+  in->close();
+
+  return true;
+}
+
+template<TypeDesc::BASETYPE FileFormat, typename StorageType>
+static void oiio_load_pixels(const ImageMetaData &metadata,
+                             const unique_ptr<ImageInput> &in,
+                             StorageType *pixels)
+{
+  const int width = metadata.width;
+  const int height = metadata.height;
+  const int depth = metadata.depth;
+  const int components = metadata.channels;
+
+  /* Read pixels through OpenImageIO. */
+  StorageType *readpixels = pixels;
+  vector<StorageType> tmppixels;
+  if (components > 4) {
+    tmppixels.resize(((size_t)width) * height * components);
+    readpixels = &tmppixels[0];
+  }
+
+  if (depth <= 1) {
+    size_t scanlinesize = ((size_t)width) * components * sizeof(StorageType);
+    in->read_image(FileFormat,
+                   (uchar *)readpixels + (height - 1) * scanlinesize,
+                   AutoStride,
+                   -scanlinesize,
+                   AutoStride);
+  }
+  else {
+    in->read_image(FileFormat, (uchar *)readpixels);
+  }
+
+  if (components > 4) {
+    size_t dimensions = ((size_t)width) * height;
+    for (size_t i = dimensions - 1, pixel = 0; pixel < dimensions; pixel++, i--) {
+      pixels[i * 4 + 3] = tmppixels[i * components + 3];
+      pixels[i * 4 + 2] = tmppixels[i * components + 2];
+      pixels[i * 4 + 1] = tmppixels[i * components + 1];
+      pixels[i * 4 + 0] = tmppixels[i * components + 0];
+    }
+    tmppixels.clear();
+  }
+
+  /* CMYK to RGBA. */
+  const bool cmyk = strcmp(in->format_name(), "jpeg") == 0 && components == 4;
+  if (cmyk) {
+    const StorageType one = util_image_cast_from_float<StorageType>(1.0f);
+
+    const size_t num_pixels = ((size_t)width) * height * depth;
+    for (size_t i = num_pixels - 1, pixel = 0; pixel < num_pixels; pixel++, i--) {
+      float c = util_image_cast_to_float(pixels[i * 4 + 0]);
+      float m = util_image_cast_to_float(pixels[i * 4 + 1]);
+      float y = util_image_cast_to_float(pixels[i * 4 + 2]);
+      float k = util_image_cast_to_float(pixels[i * 4 + 3]);
+      pixels[i * 4 + 0] = util_image_cast_from_float<StorageType>((1.0f - c) * (1.0f - k));
+      pixels[i * 4 + 1] = util_image_cast_from_float<StorageType>((1.0f - m) * (1.0f - k));
+      pixels[i * 4 + 2] = util_image_cast_from_float<StorageType>((1.0f - y) * (1.0f - k));
+      pixels[i * 4 + 3] = one;
+    }
+  }
+}
+
+bool OIIOImageLoader::load_pixels(const ImageMetaData &metadata,
+                                  void *pixels,
+                                  const size_t,
+                                  const bool associate_alpha)
+{
+  unique_ptr<ImageInput> in = NULL;
+
+  /* NOTE: Error logging is done in meta data acquisition. */
+  if (!path_exists(filepath.string()) || path_is_directory(filepath.string())) {
+    return false;
+  }
+
+  /* load image from file through OIIO */
+  in = unique_ptr<ImageInput>(ImageInput::create(filepath.string()));
+  if (!in) {
+    return false;
+  }
+
+  ImageSpec spec = ImageSpec();
+  ImageSpec config = ImageSpec();
+
+  if (!associate_alpha) {
+    config.attribute("oiio:UnassociatedAlpha", 1);
+  }
+
+  if (!in->open(filepath.string(), spec, config)) {
+    return false;
+  }
+
+  switch (metadata.type) {
+    case IMAGE_DATA_TYPE_BYTE:
+    case IMAGE_DATA_TYPE_BYTE4:
+      oiio_load_pixels<TypeDesc::UINT8, uchar>(metadata, in, (uchar *)pixels);
+      break;
+    case IMAGE_DATA_TYPE_USHORT:
+    case IMAGE_DATA_TYPE_USHORT4:
+      oiio_load_pixels<TypeDesc::USHORT, uint16_t>(metadata, in, (uint16_t *)pixels);
+      break;
+    case IMAGE_DATA_TYPE_HALF:
+    case IMAGE_DATA_TYPE_HALF4:
+      oiio_load_pixels<TypeDesc::HALF, half>(metadata, in, (half *)pixels);
+      break;
+    case IMAGE_DATA_TYPE_FLOAT:
+    case IMAGE_DATA_TYPE_FLOAT4:
+      oiio_load_pixels<TypeDesc::FLOAT, float>(metadata, in, (float *)pixels);
+      break;
+    case IMAGE_DATA_TYPE_NANOVDB_FLOAT:
+    case IMAGE_DATA_TYPE_NANOVDB_FLOAT3:
+    case IMAGE_DATA_NUM_TYPES:
+      break;
+  }
+
+  in->close();
+  return true;
+}
+
+string OIIOImageLoader::name() const
+{
+  return path_filename(filepath.string());
+}
+
+ustring OIIOImageLoader::osl_filepath() const
+{
+  return filepath;
+}
+
+bool OIIOImageLoader::equals(const ImageLoader &other) const
+{
+  const OIIOImageLoader &other_loader = (const OIIOImageLoader &)other;
+  return filepath == other_loader.filepath;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/image_oiio.h b/intern/cycles/scene/image_oiio.h
new file mode 100644
index 00000000000..87f8b20f254
--- /dev/null
+++ b/intern/cycles/scene/image_oiio.h
@@ -0,0 +1,48 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __IMAGE_OIIO__
+#define __IMAGE_OIIO__
+
+#include "scene/image.h"
+
+CCL_NAMESPACE_BEGIN
+
+class OIIOImageLoader : public ImageLoader {
+ public:
+  OIIOImageLoader(const string &filepath);
+  ~OIIOImageLoader();
+
+  bool load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata) override;
+
+  bool load_pixels(const ImageMetaData &metadata,
+                   void *pixels,
+                   const size_t pixels_size,
+                   const bool associate_alpha) override;
+
+  string name() const override;
+
+  ustring osl_filepath() const override;
+
+  bool equals(const ImageLoader &other) const override;
+
+ protected:
+  ustring filepath;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __IMAGE_OIIO__ */
diff --git a/intern/cycles/scene/image_sky.cpp b/intern/cycles/scene/image_sky.cpp
new file mode 100644
index 00000000000..cd8b8d0d991
--- /dev/null
+++ b/intern/cycles/scene/image_sky.cpp
@@ -0,0 +1,94 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/image_sky.h"
+
+#include "sky_model.h"
+
+#include "util/util_image.h"
+#include "util/util_logging.h"
+#include "util/util_path.h"
+#include "util/util_task.h"
+
+CCL_NAMESPACE_BEGIN
+
+SkyLoader::SkyLoader(float sun_elevation,
+                     float altitude,
+                     float air_density,
+                     float dust_density,
+                     float ozone_density)
+    : sun_elevation(sun_elevation),
+      altitude(altitude),
+      air_density(air_density),
+      dust_density(dust_density),
+      ozone_density(ozone_density)
+{
+}
+
+SkyLoader::~SkyLoader(){};
+
+bool SkyLoader::load_metadata(const ImageDeviceFeatures &, ImageMetaData &metadata)
+{
+  metadata.width = 512;
+  metadata.height = 128;
+  metadata.channels = 3;
+  metadata.depth = 1;
+  metadata.type = IMAGE_DATA_TYPE_FLOAT4;
+  metadata.compress_as_srgb = false;
+  return true;
+}
+
+bool SkyLoader::load_pixels(const ImageMetaData &metadata,
+                            void *pixels,
+                            const size_t /*pixels_size*/,
+                            const bool /*associate_alpha*/)
+{
+  /* definitions */
+  int width = metadata.width;
+  int height = metadata.height;
+  float *pixel_data = (float *)pixels;
+
+  /* precompute sky texture */
+  const int rows_per_task = divide_up(1024, width);
+  parallel_for(blocked_range<size_t>(0, height, rows_per_task),
+               [&](const blocked_range<size_t> &r) {
+                 SKY_nishita_skymodel_precompute_texture(pixel_data,
+                                                         metadata.channels,
+                                                         r.begin(),
+                                                         r.end(),
+                                                         width,
+                                                         height,
+                                                         sun_elevation,
+                                                         altitude,
+                                                         air_density,
+                                                         dust_density,
+                                                         ozone_density);
+               });
+
+  return true;
+}
+
+string SkyLoader::name() const
+{
+  return "sky_nishita";
+}
+
+bool SkyLoader::equals(const ImageLoader & /*other*/) const
+{
+  return false;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/image_sky.h b/intern/cycles/scene/image_sky.h
new file mode 100644
index 00000000000..d57e7bbee07
--- /dev/null
+++ b/intern/cycles/scene/image_sky.h
@@ -0,0 +1,49 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/image.h"
+
+CCL_NAMESPACE_BEGIN
+
+class SkyLoader : public ImageLoader {
+ private:
+  float sun_elevation;
+  float altitude;
+  float air_density;
+  float dust_density;
+  float ozone_density;
+
+ public:
+  SkyLoader(float sun_elevation,
+            float altitude,
+            float air_density,
+            float dust_density,
+            float ozone_density);
+  ~SkyLoader();
+
+  bool load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata) override;
+
+  bool load_pixels(const ImageMetaData &metadata,
+                   void *pixels,
+                   const size_t /*pixels_size*/,
+                   const bool /*associate_alpha*/) override;
+
+  string name() const override;
+
+  bool equals(const ImageLoader & /*other*/) const override;
+};
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/image_vdb.cpp b/intern/cycles/scene/image_vdb.cpp
new file mode 100644
index 00000000000..466df82dd73
--- /dev/null
+++ b/intern/cycles/scene/image_vdb.cpp
@@ -0,0 +1,249 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/image_vdb.h"
+
+#include "util/util_logging.h"
+#include "util/util_openvdb.h"
+
+#ifdef WITH_OPENVDB
+#  include <openvdb/tools/Dense.h>
+#endif
+#ifdef WITH_NANOVDB
+#  include <nanovdb/util/OpenToNanoVDB.h>
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+#ifdef WITH_OPENVDB
+struct NumChannelsOp {
+  int num_channels = 0;
+
+  template<typename GridType, typename FloatGridType, typename FloatDataType, int channels>
+  bool operator()(const openvdb::GridBase::ConstPtr &)
+  {
+    num_channels = channels;
+    return true;
+  }
+};
+
+struct ToDenseOp {
+  openvdb::CoordBBox bbox;
+  void *pixels;
+
+  template<typename GridType, typename FloatGridType, typename FloatDataType, int channels>
+  bool operator()(const openvdb::GridBase::ConstPtr &grid)
+  {
+    openvdb::tools::Dense<FloatDataType, openvdb::tools::LayoutXYZ> dense(bbox,
+                                                                          (FloatDataType *)pixels);
+    openvdb::tools::copyToDense(*openvdb::gridConstPtrCast<GridType>(grid), dense);
+    return true;
+  }
+};
+
+#  ifdef WITH_NANOVDB
+struct ToNanoOp {
+  nanovdb::GridHandle<> nanogrid;
+
+  template<typename GridType, typename FloatGridType, typename FloatDataType, int channels>
+  bool operator()(const openvdb::GridBase::ConstPtr &grid)
+  {
+    if constexpr (!std::is_same_v<GridType, openvdb::MaskGrid>) {
+      try {
+        nanogrid = nanovdb::openToNanoVDB(
+            FloatGridType(*openvdb::gridConstPtrCast<GridType>(grid)));
+      }
+      catch (const std::exception &e) {
+        VLOG(1) << "Error converting OpenVDB to NanoVDB grid: " << e.what();
+      }
+      return true;
+    }
+    else {
+      return false;
+    }
+  }
+};
+#  endif
+#endif
+
+VDBImageLoader::VDBImageLoader(const string &grid_name) : grid_name(grid_name)
+{
+}
+
+VDBImageLoader::~VDBImageLoader()
+{
+}
+
+bool VDBImageLoader::load_metadata(const ImageDeviceFeatures &features, ImageMetaData &metadata)
+{
+#ifdef WITH_OPENVDB
+  if (!grid) {
+    return false;
+  }
+
+  /* Get number of channels from type. */
+  NumChannelsOp op;
+  if (!openvdb::grid_type_operation(grid, op)) {
+    return false;
+  }
+
+  metadata.channels = op.num_channels;
+
+  /* Set data type. */
+#  ifdef WITH_NANOVDB
+  if (features.has_nanovdb) {
+    /* NanoVDB expects no inactive leaf nodes. */
+    /*openvdb::FloatGrid &pruned_grid = *openvdb::gridPtrCast<openvdb::FloatGrid>(grid);
+    openvdb::tools::pruneInactive(pruned_grid.tree());
+    nanogrid = nanovdb::openToNanoVDB(pruned_grid);*/
+    ToNanoOp op;
+    if (!openvdb::grid_type_operation(grid, op)) {
+      return false;
+    }
+    nanogrid = std::move(op.nanogrid);
+  }
+#  endif
+
+  /* Set dimensions. */
+  bbox = grid->evalActiveVoxelBoundingBox();
+  if (bbox.empty()) {
+    return false;
+  }
+
+  openvdb::Coord dim = bbox.dim();
+  metadata.width = dim.x();
+  metadata.height = dim.y();
+  metadata.depth = dim.z();
+
+#  ifdef WITH_NANOVDB
+  if (nanogrid) {
+    metadata.byte_size = nanogrid.size();
+    if (metadata.channels == 1) {
+      metadata.type = IMAGE_DATA_TYPE_NANOVDB_FLOAT;
+    }
+    else {
+      metadata.type = IMAGE_DATA_TYPE_NANOVDB_FLOAT3;
+    }
+  }
+  else
+#  endif
+  {
+    if (metadata.channels == 1) {
+      metadata.type = IMAGE_DATA_TYPE_FLOAT;
+    }
+    else {
+      metadata.type = IMAGE_DATA_TYPE_FLOAT4;
+    }
+  }
+
+  /* Set transform from object space to voxel index. */
+  openvdb::math::Mat4f grid_matrix = grid->transform().baseMap()->getAffineMap()->getMat4();
+  Transform index_to_object;
+  for (int col = 0; col < 4; col++) {
+    for (int row = 0; row < 3; row++) {
+      index_to_object[row][col] = (float)grid_matrix[col][row];
+    }
+  }
+
+  Transform texture_to_index;
+#  ifdef WITH_NANOVDB
+  if (nanogrid) {
+    texture_to_index = transform_identity();
+  }
+  else
+#  endif
+  {
+    openvdb::Coord min = bbox.min();
+    texture_to_index = transform_translate(min.x(), min.y(), min.z()) *
+                       transform_scale(dim.x(), dim.y(), dim.z());
+  }
+
+  metadata.transform_3d = transform_inverse(index_to_object * texture_to_index);
+  metadata.use_transform_3d = true;
+
+#  ifndef WITH_NANOVDB
+  (void)features;
+#  endif
+  return true;
+#else
+  (void)metadata;
+  (void)features;
+  return false;
+#endif
+}
+
+bool VDBImageLoader::load_pixels(const ImageMetaData &, void *pixels, const size_t, const bool)
+{
+#ifdef WITH_OPENVDB
+#  ifdef WITH_NANOVDB
+  if (nanogrid) {
+    memcpy(pixels, nanogrid.data(), nanogrid.size());
+  }
+  else
+#  endif
+  {
+    ToDenseOp op;
+    op.pixels = pixels;
+    op.bbox = bbox;
+    openvdb::grid_type_operation(grid, op);
+  }
+  return true;
+#else
+  (void)pixels;
+  return false;
+#endif
+}
+
+string VDBImageLoader::name() const
+{
+  return grid_name;
+}
+
+bool VDBImageLoader::equals(const ImageLoader &other) const
+{
+#ifdef WITH_OPENVDB
+  const VDBImageLoader &other_loader = (const VDBImageLoader &)other;
+  return grid == other_loader.grid;
+#else
+  (void)other;
+  return true;
+#endif
+}
+
+void VDBImageLoader::cleanup()
+{
+#ifdef WITH_OPENVDB
+  /* Free OpenVDB grid memory as soon as we can. */
+  grid.reset();
+#endif
+#ifdef WITH_NANOVDB
+  nanogrid.reset();
+#endif
+}
+
+bool VDBImageLoader::is_vdb_loader() const
+{
+  return true;
+}
+
+#ifdef WITH_OPENVDB
+openvdb::GridBase::ConstPtr VDBImageLoader::get_grid()
+{
+  return grid;
+}
+#endif
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/image_vdb.h b/intern/cycles/scene/image_vdb.h
new file mode 100644
index 00000000000..0a43d83a24f
--- /dev/null
+++ b/intern/cycles/scene/image_vdb.h
@@ -0,0 +1,69 @@
+/*
+ * Copyright 2011-2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __IMAGE_VDB__
+#define __IMAGE_VDB__
+
+#ifdef WITH_OPENVDB
+#  include <openvdb/openvdb.h>
+#endif
+#ifdef WITH_NANOVDB
+#  include <nanovdb/util/GridHandle.h>
+#endif
+
+#include "scene/image.h"
+
+CCL_NAMESPACE_BEGIN
+
+class VDBImageLoader : public ImageLoader {
+ public:
+  VDBImageLoader(const string &grid_name);
+  ~VDBImageLoader();
+
+  virtual bool load_metadata(const ImageDeviceFeatures &features,
+                             ImageMetaData &metadata) override;
+
+  virtual bool load_pixels(const ImageMetaData &metadata,
+                           void *pixels,
+                           const size_t pixels_size,
+                           const bool associate_alpha) override;
+
+  virtual string name() const override;
+
+  virtual bool equals(const ImageLoader &other) const override;
+
+  virtual void cleanup() override;
+
+  virtual bool is_vdb_loader() const override;
+
+#ifdef WITH_OPENVDB
+  openvdb::GridBase::ConstPtr get_grid();
+#endif
+
+ protected:
+  string grid_name;
+#ifdef WITH_OPENVDB
+  openvdb::GridBase::ConstPtr grid;
+  openvdb::CoordBBox bbox;
+#endif
+#ifdef WITH_NANOVDB
+  nanovdb::GridHandle<> nanogrid;
+#endif
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __IMAGE_VDB__ */
diff --git a/intern/cycles/scene/integrator.cpp b/intern/cycles/scene/integrator.cpp
new file mode 100644
index 00000000000..5bf82898958
--- /dev/null
+++ b/intern/cycles/scene/integrator.cpp
@@ -0,0 +1,345 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/integrator.h"
+#include "device/device.h"
+#include "scene/background.h"
+#include "scene/camera.h"
+#include "scene/film.h"
+#include "scene/jitter.h"
+#include "scene/light.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/sobol.h"
+#include "scene/stats.h"
+
+#include "kernel/kernel_types.h"
+
+#include "util/util_foreach.h"
+#include "util/util_hash.h"
+#include "util/util_logging.h"
+#include "util/util_task.h"
+#include "util/util_time.h"
+
+CCL_NAMESPACE_BEGIN
+
+NODE_DEFINE(Integrator)
+{
+  NodeType *type = NodeType::add("integrator", create);
+
+  SOCKET_INT(min_bounce, "Min Bounce", 0);
+  SOCKET_INT(max_bounce, "Max Bounce", 7);
+
+  SOCKET_INT(max_diffuse_bounce, "Max Diffuse Bounce", 7);
+  SOCKET_INT(max_glossy_bounce, "Max Glossy Bounce", 7);
+  SOCKET_INT(max_transmission_bounce, "Max Transmission Bounce", 7);
+  SOCKET_INT(max_volume_bounce, "Max Volume Bounce", 7);
+
+  SOCKET_INT(transparent_min_bounce, "Transparent Min Bounce", 0);
+  SOCKET_INT(transparent_max_bounce, "Transparent Max Bounce", 7);
+
+  SOCKET_INT(ao_bounces, "AO Bounces", 0);
+  SOCKET_FLOAT(ao_factor, "AO Factor", 0.0f);
+  SOCKET_FLOAT(ao_distance, "AO Distance", FLT_MAX);
+  SOCKET_FLOAT(ao_additive_factor, "AO Additive Factor", 0.0f);
+
+  SOCKET_INT(volume_max_steps, "Volume Max Steps", 1024);
+  SOCKET_FLOAT(volume_step_rate, "Volume Step Rate", 1.0f);
+
+  SOCKET_BOOLEAN(caustics_reflective, "Reflective Caustics", true);
+  SOCKET_BOOLEAN(caustics_refractive, "Refractive Caustics", true);
+  SOCKET_FLOAT(filter_glossy, "Filter Glossy", 0.0f);
+  SOCKET_INT(seed, "Seed", 0);
+  SOCKET_FLOAT(sample_clamp_direct, "Sample Clamp Direct", 0.0f);
+  SOCKET_FLOAT(sample_clamp_indirect, "Sample Clamp Indirect", 0.0f);
+  SOCKET_BOOLEAN(motion_blur, "Motion Blur", false);
+
+  SOCKET_INT(aa_samples, "AA Samples", 0);
+  SOCKET_INT(start_sample, "Start Sample", 0);
+
+  SOCKET_BOOLEAN(use_adaptive_sampling, "Use Adaptive Sampling", false);
+  SOCKET_FLOAT(adaptive_threshold, "Adaptive Threshold", 0.0f);
+  SOCKET_INT(adaptive_min_samples, "Adaptive Min Samples", 0);
+
+  SOCKET_FLOAT(light_sampling_threshold, "Light Sampling Threshold", 0.05f);
+
+  static NodeEnum sampling_pattern_enum;
+  sampling_pattern_enum.insert("sobol", SAMPLING_PATTERN_SOBOL);
+  sampling_pattern_enum.insert("pmj", SAMPLING_PATTERN_PMJ);
+  SOCKET_ENUM(sampling_pattern, "Sampling Pattern", sampling_pattern_enum, SAMPLING_PATTERN_SOBOL);
+
+  static NodeEnum denoiser_type_enum;
+  denoiser_type_enum.insert("optix", DENOISER_OPTIX);
+  denoiser_type_enum.insert("openimagedenoise", DENOISER_OPENIMAGEDENOISE);
+
+  static NodeEnum denoiser_prefilter_enum;
+  denoiser_prefilter_enum.insert("none", DENOISER_PREFILTER_NONE);
+  denoiser_prefilter_enum.insert("fast", DENOISER_PREFILTER_FAST);
+  denoiser_prefilter_enum.insert("accurate", DENOISER_PREFILTER_ACCURATE);
+
+  /* Default to accurate denoising with OpenImageDenoise. For interactive viewport
+   * it's best use OptiX and disable the normal pass since it does not always have
+   * the desired effect for that denoiser. */
+  SOCKET_BOOLEAN(use_denoise, "Use Denoiser", false);
+  SOCKET_ENUM(denoiser_type, "Denoiser Type", denoiser_type_enum, DENOISER_OPENIMAGEDENOISE);
+  SOCKET_INT(denoise_start_sample, "Start Sample to Denoise", 0);
+  SOCKET_BOOLEAN(use_denoise_pass_albedo, "Use Albedo Pass for Denoiser", true);
+  SOCKET_BOOLEAN(use_denoise_pass_normal, "Use Normal Pass for Denoiser", true);
+  SOCKET_ENUM(
+      denoiser_prefilter, "Denoiser Type", denoiser_prefilter_enum, DENOISER_PREFILTER_ACCURATE);
+
+  return type;
+}
+
+Integrator::Integrator() : Node(get_node_type())
+{
+}
+
+Integrator::~Integrator()
+{
+}
+
+void Integrator::device_update(Device *device, DeviceScene *dscene, Scene *scene)
+{
+  if (!is_modified())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->integrator.times.add_entry({"device_update", time});
+    }
+  });
+
+  KernelIntegrator *kintegrator = &dscene->data.integrator;
+
+  /* Adaptive sampling requires PMJ samples.
+   *
+   * This also makes detection of sampling pattern a bit more involved: can not rely on the changed
+   * state of socket, since its value might be different from the effective value used here. So
+   * instead compare with previous value in the KernelIntegrator. Only do it if the device was
+   * updated once (in which case the `sample_pattern_lut` will be allocated to a non-zero size). */
+  const SamplingPattern new_sampling_pattern = (use_adaptive_sampling) ? SAMPLING_PATTERN_PMJ :
+                                                                         sampling_pattern;
+
+  const bool need_update_lut = max_bounce_is_modified() || max_transmission_bounce_is_modified() ||
+                               dscene->sample_pattern_lut.size() == 0 ||
+                               kintegrator->sampling_pattern != new_sampling_pattern;
+
+  if (need_update_lut) {
+    dscene->sample_pattern_lut.tag_realloc();
+  }
+
+  device_free(device, dscene);
+
+  /* integrator parameters */
+  kintegrator->min_bounce = min_bounce + 1;
+  kintegrator->max_bounce = max_bounce + 1;
+
+  kintegrator->max_diffuse_bounce = max_diffuse_bounce + 1;
+  kintegrator->max_glossy_bounce = max_glossy_bounce + 1;
+  kintegrator->max_transmission_bounce = max_transmission_bounce + 1;
+  kintegrator->max_volume_bounce = max_volume_bounce + 1;
+
+  kintegrator->transparent_min_bounce = transparent_min_bounce + 1;
+  kintegrator->transparent_max_bounce = transparent_max_bounce + 1;
+
+  kintegrator->ao_bounces = ao_bounces;
+  kintegrator->ao_bounces_distance = ao_distance;
+  kintegrator->ao_bounces_factor = ao_factor;
+  kintegrator->ao_additive_factor = ao_additive_factor;
+
+  /* Transparent Shadows
+   * We only need to enable transparent shadows, if we actually have
+   * transparent shaders in the scene. Otherwise we can disable it
+   * to improve performance a bit. */
+  kintegrator->transparent_shadows = false;
+  foreach (Shader *shader, scene->shaders) {
+    /* keep this in sync with SD_HAS_TRANSPARENT_SHADOW in shader.cpp */
+    if ((shader->has_surface_transparent && shader->get_use_transparent_shadow()) ||
+        shader->has_volume) {
+      kintegrator->transparent_shadows = true;
+      break;
+    }
+  }
+
+  kintegrator->volume_max_steps = volume_max_steps;
+  kintegrator->volume_step_rate = volume_step_rate;
+
+  kintegrator->caustics_reflective = caustics_reflective;
+  kintegrator->caustics_refractive = caustics_refractive;
+  kintegrator->filter_glossy = (filter_glossy == 0.0f) ? FLT_MAX : 1.0f / filter_glossy;
+
+  kintegrator->seed = seed;
+
+  kintegrator->sample_clamp_direct = (sample_clamp_direct == 0.0f) ? FLT_MAX :
+                                                                     sample_clamp_direct * 3.0f;
+  kintegrator->sample_clamp_indirect = (sample_clamp_indirect == 0.0f) ?
+                                           FLT_MAX :
+                                           sample_clamp_indirect * 3.0f;
+
+  kintegrator->sampling_pattern = new_sampling_pattern;
+
+  if (light_sampling_threshold > 0.0f) {
+    kintegrator->light_inv_rr_threshold = 1.0f / light_sampling_threshold;
+  }
+  else {
+    kintegrator->light_inv_rr_threshold = 0.0f;
+  }
+
+  /* sobol directions table */
+  int max_samples = max_bounce + transparent_max_bounce + 3 + VOLUME_BOUNDS_MAX +
+                    max(BSSRDF_MAX_HITS, BSSRDF_MAX_BOUNCES);
+
+  int dimensions = PRNG_BASE_NUM + max_samples * PRNG_BOUNCE_NUM;
+  dimensions = min(dimensions, SOBOL_MAX_DIMENSIONS);
+
+  if (need_update_lut) {
+    if (kintegrator->sampling_pattern == SAMPLING_PATTERN_SOBOL) {
+      uint *directions = (uint *)dscene->sample_pattern_lut.alloc(SOBOL_BITS * dimensions);
+
+      sobol_generate_direction_vectors((uint(*)[SOBOL_BITS])directions, dimensions);
+
+      dscene->sample_pattern_lut.copy_to_device();
+    }
+    else {
+      constexpr int sequence_size = NUM_PMJ_SAMPLES;
+      constexpr int num_sequences = NUM_PMJ_PATTERNS;
+      float2 *directions = (float2 *)dscene->sample_pattern_lut.alloc(sequence_size *
+                                                                      num_sequences * 2);
+      TaskPool pool;
+      for (int j = 0; j < num_sequences; ++j) {
+        float2 *sequence = directions + j * sequence_size;
+        pool.push(
+            function_bind(&progressive_multi_jitter_02_generate_2D, sequence, sequence_size, j));
+      }
+      pool.wait_work();
+
+      dscene->sample_pattern_lut.copy_to_device();
+    }
+  }
+
+  kintegrator->has_shadow_catcher = scene->has_shadow_catcher();
+
+  dscene->sample_pattern_lut.clear_modified();
+  clear_modified();
+}
+
+void Integrator::device_free(Device *, DeviceScene *dscene, bool force_free)
+{
+  dscene->sample_pattern_lut.free_if_need_realloc(force_free);
+}
+
+void Integrator::tag_update(Scene *scene, uint32_t flag)
+{
+  if (flag & UPDATE_ALL) {
+    tag_modified();
+  }
+
+  if (flag & AO_PASS_MODIFIED) {
+    /* tag only the ao_bounces socket as modified so we avoid updating sample_pattern_lut
+     * unnecessarily */
+    tag_ao_bounces_modified();
+  }
+
+  if (filter_glossy_is_modified()) {
+    foreach (Shader *shader, scene->shaders) {
+      if (shader->has_integrator_dependency) {
+        scene->shader_manager->tag_update(scene, ShaderManager::INTEGRATOR_MODIFIED);
+        break;
+      }
+    }
+  }
+
+  if (motion_blur_is_modified()) {
+    scene->object_manager->tag_update(scene, ObjectManager::MOTION_BLUR_MODIFIED);
+    scene->camera->tag_modified();
+  }
+}
+
+uint Integrator::get_kernel_features() const
+{
+  uint kernel_features = 0;
+
+  if (ao_additive_factor != 0.0f) {
+    kernel_features |= KERNEL_FEATURE_AO_ADDITIVE;
+  }
+
+  return kernel_features;
+}
+
+AdaptiveSampling Integrator::get_adaptive_sampling() const
+{
+  AdaptiveSampling adaptive_sampling;
+
+  adaptive_sampling.use = use_adaptive_sampling;
+
+  if (!adaptive_sampling.use) {
+    return adaptive_sampling;
+  }
+
+  if (aa_samples > 0 && adaptive_threshold == 0.0f) {
+    adaptive_sampling.threshold = max(0.001f, 1.0f / (float)aa_samples);
+    VLOG(1) << "Cycles adaptive sampling: automatic threshold = " << adaptive_sampling.threshold;
+  }
+  else {
+    adaptive_sampling.threshold = adaptive_threshold;
+  }
+
+  if (adaptive_sampling.threshold > 0 && adaptive_min_samples == 0) {
+    /* Threshold 0.1 -> 32, 0.01 -> 64, 0.001 -> 128.
+     * This is highly scene dependent, we make a guess that seemed to work well
+     * in various test scenes. */
+    const int min_samples = (int)ceilf(16.0f / powf(adaptive_sampling.threshold, 0.3f));
+    adaptive_sampling.min_samples = max(4, min_samples);
+    VLOG(1) << "Cycles adaptive sampling: automatic min samples = "
+            << adaptive_sampling.min_samples;
+  }
+  else {
+    adaptive_sampling.min_samples = max(4, adaptive_min_samples);
+  }
+
+  /* Arbitrary factor that makes the threshold more similar to what is was before,
+   * and gives arguably more intuitive values. */
+  adaptive_sampling.threshold *= 5.0f;
+
+  adaptive_sampling.adaptive_step = 16;
+
+  DCHECK(is_power_of_two(adaptive_sampling.adaptive_step))
+      << "Adaptive step must be a power of two for bitwise operations to work";
+
+  return adaptive_sampling;
+}
+
+DenoiseParams Integrator::get_denoise_params() const
+{
+  DenoiseParams denoise_params;
+
+  denoise_params.use = use_denoise;
+
+  denoise_params.type = denoiser_type;
+
+  denoise_params.start_sample = denoise_start_sample;
+
+  denoise_params.use_pass_albedo = use_denoise_pass_albedo;
+  denoise_params.use_pass_normal = use_denoise_pass_normal;
+
+  denoise_params.prefilter = denoiser_prefilter;
+
+  return denoise_params;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/integrator.h b/intern/cycles/scene/integrator.h
new file mode 100644
index 00000000000..468971986c5
--- /dev/null
+++ b/intern/cycles/scene/integrator.h
@@ -0,0 +1,113 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __INTEGRATOR_H__
+#define __INTEGRATOR_H__
+
+#include "kernel/kernel_types.h"
+
+#include "device/device_denoise.h" /* For the parameters and type enum. */
+#include "graph/node.h"
+#include "integrator/adaptive_sampling.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Scene;
+
+class Integrator : public Node {
+ public:
+  NODE_DECLARE
+
+  NODE_SOCKET_API(int, min_bounce)
+  NODE_SOCKET_API(int, max_bounce)
+
+  NODE_SOCKET_API(int, max_diffuse_bounce)
+  NODE_SOCKET_API(int, max_glossy_bounce)
+  NODE_SOCKET_API(int, max_transmission_bounce)
+  NODE_SOCKET_API(int, max_volume_bounce)
+
+  NODE_SOCKET_API(int, transparent_min_bounce)
+  NODE_SOCKET_API(int, transparent_max_bounce)
+
+  NODE_SOCKET_API(int, ao_bounces)
+  NODE_SOCKET_API(float, ao_factor)
+  NODE_SOCKET_API(float, ao_distance)
+  NODE_SOCKET_API(float, ao_additive_factor)
+
+  NODE_SOCKET_API(int, volume_max_steps)
+  NODE_SOCKET_API(float, volume_step_rate)
+
+  NODE_SOCKET_API(bool, caustics_reflective)
+  NODE_SOCKET_API(bool, caustics_refractive)
+  NODE_SOCKET_API(float, filter_glossy)
+
+  NODE_SOCKET_API(int, seed)
+
+  NODE_SOCKET_API(float, sample_clamp_direct)
+  NODE_SOCKET_API(float, sample_clamp_indirect)
+  NODE_SOCKET_API(bool, motion_blur)
+
+  /* Maximum number of samples, beyond which we are likely to run into
+   * precision issues for sampling patterns. */
+  static const int MAX_SAMPLES = (1 << 24);
+
+  NODE_SOCKET_API(int, aa_samples)
+  NODE_SOCKET_API(int, start_sample)
+
+  NODE_SOCKET_API(float, light_sampling_threshold)
+
+  NODE_SOCKET_API(bool, use_adaptive_sampling)
+  NODE_SOCKET_API(int, adaptive_min_samples)
+  NODE_SOCKET_API(float, adaptive_threshold)
+
+  NODE_SOCKET_API(SamplingPattern, sampling_pattern)
+
+  NODE_SOCKET_API(bool, use_denoise);
+  NODE_SOCKET_API(DenoiserType, denoiser_type);
+  NODE_SOCKET_API(int, denoise_start_sample);
+  NODE_SOCKET_API(bool, use_denoise_pass_albedo);
+  NODE_SOCKET_API(bool, use_denoise_pass_normal);
+  NODE_SOCKET_API(DenoiserPrefilter, denoiser_prefilter);
+
+  enum : uint32_t {
+    AO_PASS_MODIFIED = (1 << 0),
+    OBJECT_MANAGER = (1 << 1),
+
+    /* tag everything in the manager for an update */
+    UPDATE_ALL = ~0u,
+
+    UPDATE_NONE = 0u,
+  };
+
+  Integrator();
+  ~Integrator();
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
+  void device_free(Device *device, DeviceScene *dscene, bool force_free = false);
+
+  void tag_update(Scene *scene, uint32_t flag);
+
+  uint get_kernel_features() const;
+
+  AdaptiveSampling get_adaptive_sampling() const;
+  DenoiseParams get_denoise_params() const;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __INTEGRATOR_H__ */
diff --git a/intern/cycles/scene/jitter.cpp b/intern/cycles/scene/jitter.cpp
new file mode 100644
index 00000000000..e2162195ad8
--- /dev/null
+++ b/intern/cycles/scene/jitter.cpp
@@ -0,0 +1,281 @@
+/*
+ * Copyright 2019 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/* This file is based on "Progressive Multi-Jittered Sample Sequences"
+ * by Per Christensen, Andrew Kensler and Charlie Kilpatrick.
+ * http://graphics.pixar.com/library/ProgressiveMultiJitteredSampling/paper.pdf
+ *
+ * Performance can be improved in the future by implementing the new
+ * algorithm from Matt Pharr in  http://jcgt.org/published/0008/01/04/
+ * "Efficient Generation of Points that Satisfy Two-Dimensional Elementary Intervals"
+ */
+
+#include "scene/jitter.h"
+
+#include <math.h>
+#include <vector>
+
+CCL_NAMESPACE_BEGIN
+
+static uint cmj_hash(uint i, uint p)
+{
+  i ^= p;
+  i ^= i >> 17;
+  i ^= i >> 10;
+  i *= 0xb36534e5;
+  i ^= i >> 12;
+  i ^= i >> 21;
+  i *= 0x93fc4795;
+  i ^= 0xdf6e307f;
+  i ^= i >> 17;
+  i *= 1 | p >> 18;
+
+  return i;
+}
+
+static float cmj_randfloat(uint i, uint p)
+{
+  return cmj_hash(i, p) * (1.0f / 4294967808.0f);
+}
+
+class PMJ_Generator {
+ public:
+  static void generate_2D(float2 points[], int size, int rng_seed_in)
+  {
+    PMJ_Generator g(rng_seed_in);
+    points[0].x = g.rnd();
+    points[0].y = g.rnd();
+    int N = 1;
+    while (N < size) {
+      g.extend_sequence_even(points, N);
+      g.extend_sequence_odd(points, 2 * N);
+      N = 4 * N;
+    }
+  }
+
+ protected:
+  PMJ_Generator(int rnd_seed_in) : num_samples(1), rnd_index(2), rnd_seed(rnd_seed_in)
+  {
+  }
+
+  float rnd()
+  {
+    return cmj_randfloat(++rnd_index, rnd_seed);
+  }
+
+  virtual void mark_occupied_strata(float2 points[], int N)
+  {
+    int NN = 2 * N;
+    for (int s = 0; s < NN; ++s) {
+      occupied1Dx[s] = occupied1Dy[s] = false;
+    }
+    for (int s = 0; s < N; ++s) {
+      int xstratum = (int)(NN * points[s].x);
+      int ystratum = (int)(NN * points[s].y);
+      occupied1Dx[xstratum] = true;
+      occupied1Dy[ystratum] = true;
+    }
+  }
+
+  virtual void generate_sample_point(
+      float2 points[], float i, float j, float xhalf, float yhalf, int n, int N)
+  {
+    int NN = 2 * N;
+    float2 pt;
+    int xstratum, ystratum;
+    do {
+      pt.x = (i + 0.5f * (xhalf + rnd())) / n;
+      xstratum = (int)(NN * pt.x);
+    } while (occupied1Dx[xstratum]);
+    do {
+      pt.y = (j + 0.5f * (yhalf + rnd())) / n;
+      ystratum = (int)(NN * pt.y);
+    } while (occupied1Dy[ystratum]);
+    occupied1Dx[xstratum] = true;
+    occupied1Dy[ystratum] = true;
+    points[num_samples] = pt;
+    ++num_samples;
+  }
+
+  void extend_sequence_even(float2 points[], int N)
+  {
+    int n = (int)sqrtf(N);
+    occupied1Dx.resize(2 * N);
+    occupied1Dy.resize(2 * N);
+    mark_occupied_strata(points, N);
+    for (int s = 0; s < N; ++s) {
+      float2 oldpt = points[s];
+      float i = floorf(n * oldpt.x);
+      float j = floorf(n * oldpt.y);
+      float xhalf = floorf(2.0f * (n * oldpt.x - i));
+      float yhalf = floorf(2.0f * (n * oldpt.y - j));
+      xhalf = 1.0f - xhalf;
+      yhalf = 1.0f - yhalf;
+      generate_sample_point(points, i, j, xhalf, yhalf, n, N);
+    }
+  }
+
+  void extend_sequence_odd(float2 points[], int N)
+  {
+    int n = (int)sqrtf(N / 2);
+    occupied1Dx.resize(2 * N);
+    occupied1Dy.resize(2 * N);
+    mark_occupied_strata(points, N);
+    std::vector<float> xhalves(N / 2);
+    std::vector<float> yhalves(N / 2);
+    for (int s = 0; s < N / 2; ++s) {
+      float2 oldpt = points[s];
+      float i = floorf(n * oldpt.x);
+      float j = floorf(n * oldpt.y);
+      float xhalf = floorf(2.0f * (n * oldpt.x - i));
+      float yhalf = floorf(2.0f * (n * oldpt.y - j));
+      if (rnd() > 0.5f) {
+        xhalf = 1.0f - xhalf;
+      }
+      else {
+        yhalf = 1.0f - yhalf;
+      }
+      xhalves[s] = xhalf;
+      yhalves[s] = yhalf;
+      generate_sample_point(points, i, j, xhalf, yhalf, n, N);
+    }
+    for (int s = 0; s < N / 2; ++s) {
+      float2 oldpt = points[s];
+      float i = floorf(n * oldpt.x);
+      float j = floorf(n * oldpt.y);
+      float xhalf = 1.0f - xhalves[s];
+      float yhalf = 1.0f - yhalves[s];
+      generate_sample_point(points, i, j, xhalf, yhalf, n, N);
+    }
+  }
+
+  std::vector<bool> occupied1Dx, occupied1Dy;
+  int num_samples;
+  int rnd_index, rnd_seed;
+};
+
+class PMJ02_Generator : public PMJ_Generator {
+ protected:
+  void generate_sample_point(
+      float2 points[], float i, float j, float xhalf, float yhalf, int n, int N) override
+  {
+    int NN = 2 * N;
+    float2 pt;
+    do {
+      pt.x = (i + 0.5f * (xhalf + rnd())) / n;
+      pt.y = (j + 0.5f * (yhalf + rnd())) / n;
+    } while (is_occupied(pt, NN));
+    mark_occupied_strata1(pt, NN);
+    points[num_samples] = pt;
+    ++num_samples;
+  }
+
+  void mark_occupied_strata(float2 points[], int N) override
+  {
+    int NN = 2 * N;
+    int num_shapes = (int)log2f(NN) + 1;
+    occupiedStrata.resize(num_shapes);
+    for (int shape = 0; shape < num_shapes; ++shape) {
+      occupiedStrata[shape].resize(NN);
+      for (int n = 0; n < NN; ++n) {
+        occupiedStrata[shape][n] = false;
+      }
+    }
+    for (int s = 0; s < N; ++s) {
+      mark_occupied_strata1(points[s], NN);
+    }
+  }
+
+  void mark_occupied_strata1(float2 pt, int NN)
+  {
+    int shape = 0;
+    int xdivs = NN;
+    int ydivs = 1;
+    do {
+      int xstratum = (int)(xdivs * pt.x);
+      int ystratum = (int)(ydivs * pt.y);
+      size_t index = ystratum * xdivs + xstratum;
+      assert(index < NN);
+      occupiedStrata[shape][index] = true;
+      shape = shape + 1;
+      xdivs = xdivs / 2;
+      ydivs = ydivs * 2;
+    } while (xdivs > 0);
+  }
+
+  bool is_occupied(float2 pt, int NN)
+  {
+    int shape = 0;
+    int xdivs = NN;
+    int ydivs = 1;
+    do {
+      int xstratum = (int)(xdivs * pt.x);
+      int ystratum = (int)(ydivs * pt.y);
+      size_t index = ystratum * xdivs + xstratum;
+      assert(index < NN);
+      if (occupiedStrata[shape][index]) {
+        return true;
+      }
+      shape = shape + 1;
+      xdivs = xdivs / 2;
+      ydivs = ydivs * 2;
+    } while (xdivs > 0);
+    return false;
+  }
+
+ private:
+  std::vector<std::vector<bool>> occupiedStrata;
+};
+
+static void shuffle(float2 points[], int size, int rng_seed)
+{
+  if (rng_seed == 0) {
+    return;
+  }
+
+  constexpr int odd[8] = {0, 1, 4, 5, 10, 11, 14, 15};
+  constexpr int even[8] = {2, 3, 6, 7, 8, 9, 12, 13};
+
+  int rng_index = 0;
+  for (int yy = 0; yy < size / 16; ++yy) {
+    for (int xx = 0; xx < 8; ++xx) {
+      int other = (int)(cmj_randfloat(++rng_index, rng_seed) * (8.0f - xx) + xx);
+      float2 tmp = points[odd[other] + yy * 16];
+      points[odd[other] + yy * 16] = points[odd[xx] + yy * 16];
+      points[odd[xx] + yy * 16] = tmp;
+    }
+    for (int xx = 0; xx < 8; ++xx) {
+      int other = (int)(cmj_randfloat(++rng_index, rng_seed) * (8.0f - xx) + xx);
+      float2 tmp = points[even[other] + yy * 16];
+      points[even[other] + yy * 16] = points[even[xx] + yy * 16];
+      points[even[xx] + yy * 16] = tmp;
+    }
+  }
+}
+
+void progressive_multi_jitter_generate_2D(float2 points[], int size, int rng_seed)
+{
+  PMJ_Generator::generate_2D(points, size, rng_seed);
+  shuffle(points, size, rng_seed);
+}
+
+void progressive_multi_jitter_02_generate_2D(float2 points[], int size, int rng_seed)
+{
+  PMJ02_Generator::generate_2D(points, size, rng_seed);
+  shuffle(points, size, rng_seed);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/jitter.h b/intern/cycles/scene/jitter.h
new file mode 100644
index 00000000000..ed34c7a4f4d
--- /dev/null
+++ b/intern/cycles/scene/jitter.h
@@ -0,0 +1,29 @@
+/*
+ * Copyright 2019 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __JITTER_H__
+#define __JITTER_H__
+
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+void progressive_multi_jitter_generate_2D(float2 points[], int size, int rng_seed);
+void progressive_multi_jitter_02_generate_2D(float2 points[], int size, int rng_seed);
+
+CCL_NAMESPACE_END
+
+#endif /* __JITTER_H__ */
diff --git a/intern/cycles/scene/light.cpp b/intern/cycles/scene/light.cpp
new file mode 100644
index 00000000000..26f208d58e5
--- /dev/null
+++ b/intern/cycles/scene/light.cpp
@@ -0,0 +1,1150 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "device/device.h"
+
+#include "scene/background.h"
+#include "scene/film.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
+#include "scene/stats.h"
+
+#include "integrator/shader_eval.h"
+
+#include "util/util_foreach.h"
+#include "util/util_hash.h"
+#include "util/util_logging.h"
+#include "util/util_path.h"
+#include "util/util_progress.h"
+#include "util/util_task.h"
+
+CCL_NAMESPACE_BEGIN
+
+static void shade_background_pixels(Device *device,
+                                    DeviceScene *dscene,
+                                    int width,
+                                    int height,
+                                    vector<float3> &pixels,
+                                    Progress &progress)
+{
+  /* Needs to be up to data for attribute access. */
+  device->const_copy_to("__data", &dscene->data, sizeof(dscene->data));
+
+  const int size = width * height;
+  const int num_channels = 3;
+  pixels.resize(size);
+
+  /* Evaluate shader on device. */
+  ShaderEval shader_eval(device, progress);
+  shader_eval.eval(
+      SHADER_EVAL_BACKGROUND,
+      size,
+      num_channels,
+      [&](device_vector<KernelShaderEvalInput> &d_input) {
+        /* Fill coordinates for shading. */
+        KernelShaderEvalInput *d_input_data = d_input.data();
+
+        for (int y = 0; y < height; y++) {
+          for (int x = 0; x < width; x++) {
+            float u = (x + 0.5f) / width;
+            float v = (y + 0.5f) / height;
+
+            KernelShaderEvalInput in;
+            in.object = OBJECT_NONE;
+            in.prim = PRIM_NONE;
+            in.u = u;
+            in.v = v;
+            d_input_data[x + y * width] = in;
+          }
+        }
+
+        return size;
+      },
+      [&](device_vector<float> &d_output) {
+        /* Copy output to pixel buffer. */
+        float *d_output_data = d_output.data();
+
+        for (int y = 0; y < height; y++) {
+          for (int x = 0; x < width; x++) {
+            pixels[y * width + x].x = d_output_data[(y * width + x) * num_channels + 0];
+            pixels[y * width + x].y = d_output_data[(y * width + x) * num_channels + 1];
+            pixels[y * width + x].z = d_output_data[(y * width + x) * num_channels + 2];
+          }
+        }
+      });
+}
+
+/* Light */
+
+NODE_DEFINE(Light)
+{
+  NodeType *type = NodeType::add("light", create);
+
+  static NodeEnum type_enum;
+  type_enum.insert("point", LIGHT_POINT);
+  type_enum.insert("distant", LIGHT_DISTANT);
+  type_enum.insert("background", LIGHT_BACKGROUND);
+  type_enum.insert("area", LIGHT_AREA);
+  type_enum.insert("spot", LIGHT_SPOT);
+  SOCKET_ENUM(light_type, "Type", type_enum, LIGHT_POINT);
+
+  SOCKET_COLOR(strength, "Strength", one_float3());
+
+  SOCKET_POINT(co, "Co", zero_float3());
+
+  SOCKET_VECTOR(dir, "Dir", zero_float3());
+  SOCKET_FLOAT(size, "Size", 0.0f);
+  SOCKET_FLOAT(angle, "Angle", 0.0f);
+
+  SOCKET_VECTOR(axisu, "Axis U", zero_float3());
+  SOCKET_FLOAT(sizeu, "Size U", 1.0f);
+  SOCKET_VECTOR(axisv, "Axis V", zero_float3());
+  SOCKET_FLOAT(sizev, "Size V", 1.0f);
+  SOCKET_BOOLEAN(round, "Round", false);
+  SOCKET_FLOAT(spread, "Spread", M_PI_F);
+
+  SOCKET_INT(map_resolution, "Map Resolution", 0);
+
+  SOCKET_FLOAT(spot_angle, "Spot Angle", M_PI_4_F);
+  SOCKET_FLOAT(spot_smooth, "Spot Smooth", 0.0f);
+
+  SOCKET_TRANSFORM(tfm, "Transform", transform_identity());
+
+  SOCKET_BOOLEAN(cast_shadow, "Cast Shadow", true);
+  SOCKET_BOOLEAN(use_mis, "Use Mis", false);
+  SOCKET_BOOLEAN(use_camera, "Use Camera", true);
+  SOCKET_BOOLEAN(use_diffuse, "Use Diffuse", true);
+  SOCKET_BOOLEAN(use_glossy, "Use Glossy", true);
+  SOCKET_BOOLEAN(use_transmission, "Use Transmission", true);
+  SOCKET_BOOLEAN(use_scatter, "Use Scatter", true);
+
+  SOCKET_INT(max_bounces, "Max Bounces", 1024);
+  SOCKET_UINT(random_id, "Random ID", 0);
+
+  SOCKET_BOOLEAN(is_shadow_catcher, "Shadow Catcher", true);
+  SOCKET_BOOLEAN(is_portal, "Is Portal", false);
+  SOCKET_BOOLEAN(is_enabled, "Is Enabled", true);
+
+  SOCKET_NODE(shader, "Shader", Shader::get_node_type());
+
+  return type;
+}
+
+Light::Light() : Node(get_node_type())
+{
+  dereference_all_used_nodes();
+}
+
+void Light::tag_update(Scene *scene)
+{
+  if (is_modified()) {
+    scene->light_manager->tag_update(scene, LightManager::LIGHT_MODIFIED);
+  }
+}
+
+bool Light::has_contribution(Scene *scene)
+{
+  if (strength == zero_float3()) {
+    return false;
+  }
+  if (is_portal) {
+    return false;
+  }
+  if (light_type == LIGHT_BACKGROUND) {
+    return true;
+  }
+  return (shader) ? shader->has_surface_emission : scene->default_light->has_surface_emission;
+}
+
+/* Light Manager */
+
+LightManager::LightManager()
+{
+  update_flags = UPDATE_ALL;
+  need_update_background = true;
+  last_background_enabled = false;
+  last_background_resolution = 0;
+}
+
+LightManager::~LightManager()
+{
+  foreach (IESSlot *slot, ies_slots) {
+    delete slot;
+  }
+}
+
+bool LightManager::has_background_light(Scene *scene)
+{
+  foreach (Light *light, scene->lights) {
+    if (light->light_type == LIGHT_BACKGROUND && light->is_enabled) {
+      return true;
+    }
+  }
+  return false;
+}
+
+void LightManager::test_enabled_lights(Scene *scene)
+{
+  /* Make all lights enabled by default, and perform some preliminary checks
+   * needed for finer-tuning of settings (for example, check whether we've
+   * got portals or not).
+   */
+  bool has_portal = false, has_background = false;
+  foreach (Light *light, scene->lights) {
+    light->is_enabled = light->has_contribution(scene);
+    has_portal |= light->is_portal;
+    has_background |= light->light_type == LIGHT_BACKGROUND;
+  }
+
+  bool background_enabled = false;
+  int background_resolution = 0;
+
+  if (has_background) {
+    /* Ignore background light if:
+     * - If unsupported on a device
+     * - If we don't need it (no HDRs etc.)
+     */
+    Shader *shader = scene->background->get_shader(scene);
+    const bool disable_mis = !(has_portal || shader->has_surface_spatial_varying);
+    VLOG_IF(1, disable_mis) << "Background MIS has been disabled.\n";
+    foreach (Light *light, scene->lights) {
+      if (light->light_type == LIGHT_BACKGROUND) {
+        light->is_enabled = !disable_mis;
+        background_enabled = !disable_mis;
+        background_resolution = light->map_resolution;
+      }
+    }
+  }
+
+  if (last_background_enabled != background_enabled ||
+      last_background_resolution != background_resolution) {
+    last_background_enabled = background_enabled;
+    last_background_resolution = background_resolution;
+    need_update_background = true;
+  }
+}
+
+bool LightManager::object_usable_as_light(Object *object)
+{
+  Geometry *geom = object->get_geometry();
+  if (geom->geometry_type != Geometry::MESH && geom->geometry_type != Geometry::VOLUME) {
+    return false;
+  }
+  /* Skip objects with NaNs */
+  if (!object->bounds.valid()) {
+    return false;
+  }
+  /* Skip if we are not visible for BSDFs. */
+  if (!(object->get_visibility() & (PATH_RAY_DIFFUSE | PATH_RAY_GLOSSY | PATH_RAY_TRANSMIT))) {
+    return false;
+  }
+  /* Skip if we have no emission shaders. */
+  /* TODO(sergey): Ideally we want to avoid such duplicated loop, since it'll
+   * iterate all geometry shaders twice (when counting and when calculating
+   * triangle area.
+   */
+  foreach (Node *node, geom->get_used_shaders()) {
+    Shader *shader = static_cast<Shader *>(node);
+    if (shader->get_use_mis() && shader->has_surface_emission) {
+      return true;
+    }
+  }
+  return false;
+}
+
+void LightManager::device_update_distribution(Device *,
+                                              DeviceScene *dscene,
+                                              Scene *scene,
+                                              Progress &progress)
+{
+  progress.set_status("Updating Lights", "Computing distribution");
+
+  /* count */
+  size_t num_lights = 0;
+  size_t num_portals = 0;
+  size_t num_background_lights = 0;
+  size_t num_triangles = 0;
+
+  bool background_mis = false;
+
+  foreach (Light *light, scene->lights) {
+    if (light->is_enabled) {
+      num_lights++;
+    }
+    if (light->is_portal) {
+      num_portals++;
+    }
+  }
+
+  foreach (Object *object, scene->objects) {
+    if (progress.get_cancel())
+      return;
+
+    if (!object_usable_as_light(object)) {
+      continue;
+    }
+
+    /* Count triangles. */
+    Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
+    size_t mesh_num_triangles = mesh->num_triangles();
+    for (size_t i = 0; i < mesh_num_triangles; i++) {
+      int shader_index = mesh->get_shader()[i];
+      Shader *shader = (shader_index < mesh->get_used_shaders().size()) ?
+                           static_cast<Shader *>(mesh->get_used_shaders()[shader_index]) :
+                           scene->default_surface;
+
+      if (shader->get_use_mis() && shader->has_surface_emission) {
+        num_triangles++;
+      }
+    }
+  }
+
+  size_t num_distribution = num_triangles + num_lights;
+  VLOG(1) << "Total " << num_distribution << " of light distribution primitives.";
+
+  /* emission area */
+  KernelLightDistribution *distribution = dscene->light_distribution.alloc(num_distribution + 1);
+  float totarea = 0.0f;
+
+  /* triangles */
+  size_t offset = 0;
+  int j = 0;
+
+  foreach (Object *object, scene->objects) {
+    if (progress.get_cancel())
+      return;
+
+    if (!object_usable_as_light(object)) {
+      j++;
+      continue;
+    }
+    /* Sum area. */
+    Mesh *mesh = static_cast<Mesh *>(object->get_geometry());
+    bool transform_applied = mesh->transform_applied;
+    Transform tfm = object->get_tfm();
+    int object_id = j;
+    int shader_flag = 0;
+
+    if (!(object->get_visibility() & PATH_RAY_CAMERA)) {
+      shader_flag |= SHADER_EXCLUDE_CAMERA;
+    }
+    if (!(object->get_visibility() & PATH_RAY_DIFFUSE)) {
+      shader_flag |= SHADER_EXCLUDE_DIFFUSE;
+    }
+    if (!(object->get_visibility() & PATH_RAY_GLOSSY)) {
+      shader_flag |= SHADER_EXCLUDE_GLOSSY;
+    }
+    if (!(object->get_visibility() & PATH_RAY_TRANSMIT)) {
+      shader_flag |= SHADER_EXCLUDE_TRANSMIT;
+    }
+    if (!(object->get_visibility() & PATH_RAY_VOLUME_SCATTER)) {
+      shader_flag |= SHADER_EXCLUDE_SCATTER;
+    }
+    if (!(object->get_is_shadow_catcher())) {
+      shader_flag |= SHADER_EXCLUDE_SHADOW_CATCHER;
+    }
+
+    size_t mesh_num_triangles = mesh->num_triangles();
+    for (size_t i = 0; i < mesh_num_triangles; i++) {
+      int shader_index = mesh->get_shader()[i];
+      Shader *shader = (shader_index < mesh->get_used_shaders().size()) ?
+                           static_cast<Shader *>(mesh->get_used_shaders()[shader_index]) :
+                           scene->default_surface;
+
+      if (shader->get_use_mis() && shader->has_surface_emission) {
+        distribution[offset].totarea = totarea;
+        distribution[offset].prim = i + mesh->prim_offset;
+        distribution[offset].mesh_light.shader_flag = shader_flag;
+        distribution[offset].mesh_light.object_id = object_id;
+        offset++;
+
+        Mesh::Triangle t = mesh->get_triangle(i);
+        if (!t.valid(&mesh->get_verts()[0])) {
+          continue;
+        }
+        float3 p1 = mesh->get_verts()[t.v[0]];
+        float3 p2 = mesh->get_verts()[t.v[1]];
+        float3 p3 = mesh->get_verts()[t.v[2]];
+
+        if (!transform_applied) {
+          p1 = transform_point(&tfm, p1);
+          p2 = transform_point(&tfm, p2);
+          p3 = transform_point(&tfm, p3);
+        }
+
+        totarea += triangle_area(p1, p2, p3);
+      }
+    }
+
+    j++;
+  }
+
+  float trianglearea = totarea;
+  /* point lights */
+  bool use_lamp_mis = false;
+  int light_index = 0;
+
+  if (num_lights > 0) {
+    float lightarea = (totarea > 0.0f) ? totarea / num_lights : 1.0f;
+    foreach (Light *light, scene->lights) {
+      if (!light->is_enabled)
+        continue;
+
+      distribution[offset].totarea = totarea;
+      distribution[offset].prim = ~light_index;
+      distribution[offset].lamp.pad = 1.0f;
+      distribution[offset].lamp.size = light->size;
+      totarea += lightarea;
+
+      if (light->light_type == LIGHT_DISTANT) {
+        use_lamp_mis |= (light->angle > 0.0f && light->use_mis);
+      }
+      else if (light->light_type == LIGHT_POINT || light->light_type == LIGHT_SPOT) {
+        use_lamp_mis |= (light->size > 0.0f && light->use_mis);
+      }
+      else if (light->light_type == LIGHT_AREA) {
+        use_lamp_mis |= light->use_mis;
+      }
+      else if (light->light_type == LIGHT_BACKGROUND) {
+        num_background_lights++;
+        background_mis |= light->use_mis;
+      }
+
+      light_index++;
+      offset++;
+    }
+  }
+
+  /* normalize cumulative distribution functions */
+  distribution[num_distribution].totarea = totarea;
+  distribution[num_distribution].prim = 0.0f;
+  distribution[num_distribution].lamp.pad = 0.0f;
+  distribution[num_distribution].lamp.size = 0.0f;
+
+  if (totarea > 0.0f) {
+    for (size_t i = 0; i < num_distribution; i++)
+      distribution[i].totarea /= totarea;
+    distribution[num_distribution].totarea = 1.0f;
+  }
+
+  if (progress.get_cancel())
+    return;
+
+  /* update device */
+  KernelIntegrator *kintegrator = &dscene->data.integrator;
+  KernelBackground *kbackground = &dscene->data.background;
+  KernelFilm *kfilm = &dscene->data.film;
+  kintegrator->use_direct_light = (totarea > 0.0f);
+
+  if (kintegrator->use_direct_light) {
+    /* number of emissives */
+    kintegrator->num_distribution = num_distribution;
+
+    /* precompute pdfs */
+    kintegrator->pdf_triangles = 0.0f;
+    kintegrator->pdf_lights = 0.0f;
+
+    /* sample one, with 0.5 probability of light or triangle */
+    kintegrator->num_all_lights = num_lights;
+
+    if (trianglearea > 0.0f) {
+      kintegrator->pdf_triangles = 1.0f / trianglearea;
+      if (num_lights)
+        kintegrator->pdf_triangles *= 0.5f;
+    }
+
+    if (num_lights) {
+      kintegrator->pdf_lights = 1.0f / num_lights;
+      if (trianglearea > 0.0f)
+        kintegrator->pdf_lights *= 0.5f;
+    }
+
+    kintegrator->use_lamp_mis = use_lamp_mis;
+
+    /* bit of an ugly hack to compensate for emitting triangles influencing
+     * amount of samples we get for this pass */
+    kfilm->pass_shadow_scale = 1.0f;
+
+    if (kintegrator->pdf_triangles != 0.0f)
+      kfilm->pass_shadow_scale /= 0.5f;
+
+    if (num_background_lights < num_lights)
+      kfilm->pass_shadow_scale /= (float)(num_lights - num_background_lights) / (float)num_lights;
+
+    /* CDF */
+    dscene->light_distribution.copy_to_device();
+
+    /* Portals */
+    if (num_portals > 0) {
+      kbackground->portal_offset = light_index;
+      kbackground->num_portals = num_portals;
+      kbackground->portal_weight = 1.0f;
+    }
+    else {
+      kbackground->num_portals = 0;
+      kbackground->portal_offset = 0;
+      kbackground->portal_weight = 0.0f;
+    }
+
+    /* Map */
+    kbackground->map_weight = background_mis ? 1.0f : 0.0f;
+  }
+  else {
+    dscene->light_distribution.free();
+
+    kintegrator->num_distribution = 0;
+    kintegrator->num_all_lights = 0;
+    kintegrator->pdf_triangles = 0.0f;
+    kintegrator->pdf_lights = 0.0f;
+    kintegrator->use_lamp_mis = false;
+
+    kbackground->num_portals = 0;
+    kbackground->portal_offset = 0;
+    kbackground->portal_weight = 0.0f;
+    kbackground->sun_weight = 0.0f;
+    kbackground->map_weight = 0.0f;
+
+    kfilm->pass_shadow_scale = 1.0f;
+  }
+}
+
+static void background_cdf(
+    int start, int end, int res_x, int res_y, const vector<float3> *pixels, float2 *cond_cdf)
+{
+  int cdf_width = res_x + 1;
+  /* Conditional CDFs (rows, U direction). */
+  for (int i = start; i < end; i++) {
+    float sin_theta = sinf(M_PI_F * (i + 0.5f) / res_y);
+    float3 env_color = (*pixels)[i * res_x];
+    float ave_luminance = average(env_color);
+
+    cond_cdf[i * cdf_width].x = ave_luminance * sin_theta;
+    cond_cdf[i * cdf_width].y = 0.0f;
+
+    for (int j = 1; j < res_x; j++) {
+      env_color = (*pixels)[i * res_x + j];
+      ave_luminance = average(env_color);
+
+      cond_cdf[i * cdf_width + j].x = ave_luminance * sin_theta;
+      cond_cdf[i * cdf_width + j].y = cond_cdf[i * cdf_width + j - 1].y +
+                                      cond_cdf[i * cdf_width + j - 1].x / res_x;
+    }
+
+    const float cdf_total = cond_cdf[i * cdf_width + res_x - 1].y +
+                            cond_cdf[i * cdf_width + res_x - 1].x / res_x;
+
+    /* stuff the total into the brightness value for the last entry, because
+     * we are going to normalize the CDFs to 0.0 to 1.0 afterwards */
+    cond_cdf[i * cdf_width + res_x].x = cdf_total;
+
+    if (cdf_total > 0.0f) {
+      const float cdf_total_inv = 1.0f / cdf_total;
+      for (int j = 1; j < res_x; j++) {
+        cond_cdf[i * cdf_width + j].y *= cdf_total_inv;
+      }
+    }
+
+    cond_cdf[i * cdf_width + res_x].y = 1.0f;
+  }
+}
+
+void LightManager::device_update_background(Device *device,
+                                            DeviceScene *dscene,
+                                            Scene *scene,
+                                            Progress &progress)
+{
+  KernelBackground *kbackground = &dscene->data.background;
+  Light *background_light = NULL;
+
+  /* find background light */
+  foreach (Light *light, scene->lights) {
+    if (light->light_type == LIGHT_BACKGROUND) {
+      background_light = light;
+      break;
+    }
+  }
+
+  /* no background light found, signal renderer to skip sampling */
+  if (!background_light || !background_light->is_enabled) {
+    kbackground->map_res_x = 0;
+    kbackground->map_res_y = 0;
+    kbackground->map_weight = 0.0f;
+    kbackground->sun_weight = 0.0f;
+    kbackground->use_mis = (kbackground->portal_weight > 0.0f);
+    return;
+  }
+
+  progress.set_status("Updating Lights", "Importance map");
+
+  assert(dscene->data.integrator.use_direct_light);
+
+  int2 environment_res = make_int2(0, 0);
+  Shader *shader = scene->background->get_shader(scene);
+  int num_suns = 0;
+  foreach (ShaderNode *node, shader->graph->nodes) {
+    if (node->type == EnvironmentTextureNode::get_node_type()) {
+      EnvironmentTextureNode *env = (EnvironmentTextureNode *)node;
+      ImageMetaData metadata;
+      if (!env->handle.empty()) {
+        ImageMetaData metadata = env->handle.metadata();
+        environment_res.x = max(environment_res.x, metadata.width);
+        environment_res.y = max(environment_res.y, metadata.height);
+      }
+    }
+    if (node->type == SkyTextureNode::get_node_type()) {
+      SkyTextureNode *sky = (SkyTextureNode *)node;
+      if (sky->get_sky_type() == NODE_SKY_NISHITA && sky->get_sun_disc()) {
+        /* Ensure that the input coordinates aren't transformed before they reach the node.
+         * If that is the case, the logic used for sampling the sun's location does not work
+         * and we have to fall back to map-based sampling. */
+        const ShaderInput *vec_in = sky->input("Vector");
+        if (vec_in && vec_in->link && vec_in->link->parent) {
+          ShaderNode *vec_src = vec_in->link->parent;
+          if ((vec_src->type != TextureCoordinateNode::get_node_type()) ||
+              (vec_in->link != vec_src->output("Generated"))) {
+            environment_res.x = max(environment_res.x, 4096);
+            environment_res.y = max(environment_res.y, 2048);
+            continue;
+          }
+        }
+
+        /* Determine sun direction from lat/long and texture mapping. */
+        float latitude = sky->get_sun_elevation();
+        float longitude = M_2PI_F - sky->get_sun_rotation() + M_PI_2_F;
+        float3 sun_direction = make_float3(
+            cosf(latitude) * cosf(longitude), cosf(latitude) * sinf(longitude), sinf(latitude));
+        Transform sky_transform = transform_inverse(sky->tex_mapping.compute_transform());
+        sun_direction = transform_direction(&sky_transform, sun_direction);
+
+        /* Pack sun direction and size. */
+        float half_angle = sky->get_sun_size() * 0.5f;
+        kbackground->sun = make_float4(
+            sun_direction.x, sun_direction.y, sun_direction.z, half_angle);
+
+        kbackground->sun_weight = 4.0f;
+        environment_res.x = max(environment_res.x, 512);
+        environment_res.y = max(environment_res.y, 256);
+        num_suns++;
+      }
+    }
+  }
+
+  /* If there's more than one sun, fall back to map sampling instead. */
+  if (num_suns != 1) {
+    kbackground->sun_weight = 0.0f;
+    environment_res.x = max(environment_res.x, 4096);
+    environment_res.y = max(environment_res.y, 2048);
+  }
+
+  /* Enable MIS for background sampling if any strategy is active. */
+  kbackground->use_mis = (kbackground->portal_weight + kbackground->map_weight +
+                          kbackground->sun_weight) > 0.0f;
+
+  /* get the resolution from the light's size (we stuff it in there) */
+  int2 res = make_int2(background_light->map_resolution, background_light->map_resolution / 2);
+  /* If the resolution isn't set manually, try to find an environment texture. */
+  if (res.x == 0) {
+    res = environment_res;
+    if (res.x > 0 && res.y > 0) {
+      VLOG(2) << "Automatically set World MIS resolution to " << res.x << " by " << res.y << "\n";
+    }
+  }
+  /* If it's still unknown, just use the default. */
+  if (res.x == 0 || res.y == 0) {
+    res = make_int2(1024, 512);
+    VLOG(2) << "Setting World MIS resolution to default\n";
+  }
+  kbackground->map_res_x = res.x;
+  kbackground->map_res_y = res.y;
+
+  vector<float3> pixels;
+  shade_background_pixels(device, dscene, res.x, res.y, pixels, progress);
+
+  if (progress.get_cancel())
+    return;
+
+  /* build row distributions and column distribution for the infinite area environment light */
+  int cdf_width = res.x + 1;
+  float2 *marg_cdf = dscene->light_background_marginal_cdf.alloc(res.y + 1);
+  float2 *cond_cdf = dscene->light_background_conditional_cdf.alloc(cdf_width * res.y);
+
+  double time_start = time_dt();
+
+  /* Create CDF in parallel. */
+  const int rows_per_task = divide_up(10240, res.x);
+  parallel_for(blocked_range<size_t>(0, res.y, rows_per_task),
+               [&](const blocked_range<size_t> &r) {
+                 background_cdf(r.begin(), r.end(), res.x, res.y, &pixels, cond_cdf);
+               });
+
+  /* marginal CDFs (column, V direction, sum of rows) */
+  marg_cdf[0].x = cond_cdf[res.x].x;
+  marg_cdf[0].y = 0.0f;
+
+  for (int i = 1; i < res.y; i++) {
+    marg_cdf[i].x = cond_cdf[i * cdf_width + res.x].x;
+    marg_cdf[i].y = marg_cdf[i - 1].y + marg_cdf[i - 1].x / res.y;
+  }
+
+  float cdf_total = marg_cdf[res.y - 1].y + marg_cdf[res.y - 1].x / res.y;
+  marg_cdf[res.y].x = cdf_total;
+
+  if (cdf_total > 0.0f)
+    for (int i = 1; i < res.y; i++)
+      marg_cdf[i].y /= cdf_total;
+
+  marg_cdf[res.y].y = 1.0f;
+
+  VLOG(2) << "Background MIS build time " << time_dt() - time_start << "\n";
+
+  /* update device */
+  dscene->light_background_marginal_cdf.copy_to_device();
+  dscene->light_background_conditional_cdf.copy_to_device();
+}
+
+void LightManager::device_update_points(Device *, DeviceScene *dscene, Scene *scene)
+{
+  int num_scene_lights = scene->lights.size();
+
+  int num_lights = 0;
+  foreach (Light *light, scene->lights) {
+    if (light->is_enabled || light->is_portal) {
+      num_lights++;
+    }
+  }
+
+  KernelLight *klights = dscene->lights.alloc(num_lights);
+
+  if (num_lights == 0) {
+    VLOG(1) << "No effective light, ignoring points update.";
+    return;
+  }
+
+  int light_index = 0;
+
+  foreach (Light *light, scene->lights) {
+    if (!light->is_enabled) {
+      continue;
+    }
+
+    float3 co = light->co;
+    Shader *shader = (light->shader) ? light->shader : scene->default_light;
+    int shader_id = scene->shader_manager->get_shader_id(shader);
+    int max_bounces = light->max_bounces;
+    float random = (float)light->random_id * (1.0f / (float)0xFFFFFFFF);
+
+    if (!light->cast_shadow)
+      shader_id &= ~SHADER_CAST_SHADOW;
+
+    if (!light->use_camera) {
+      shader_id |= SHADER_EXCLUDE_CAMERA;
+    }
+    if (!light->use_diffuse) {
+      shader_id |= SHADER_EXCLUDE_DIFFUSE;
+    }
+    if (!light->use_glossy) {
+      shader_id |= SHADER_EXCLUDE_GLOSSY;
+    }
+    if (!light->use_transmission) {
+      shader_id |= SHADER_EXCLUDE_TRANSMIT;
+    }
+    if (!light->use_scatter) {
+      shader_id |= SHADER_EXCLUDE_SCATTER;
+    }
+    if (!light->is_shadow_catcher) {
+      shader_id |= SHADER_EXCLUDE_SHADOW_CATCHER;
+    }
+
+    klights[light_index].type = light->light_type;
+    klights[light_index].strength[0] = light->strength.x;
+    klights[light_index].strength[1] = light->strength.y;
+    klights[light_index].strength[2] = light->strength.z;
+
+    if (light->light_type == LIGHT_POINT) {
+      shader_id &= ~SHADER_AREA_LIGHT;
+
+      float radius = light->size;
+      float invarea = (radius > 0.0f) ? 1.0f / (M_PI_F * radius * radius) : 1.0f;
+
+      if (light->use_mis && radius > 0.0f)
+        shader_id |= SHADER_USE_MIS;
+
+      klights[light_index].co[0] = co.x;
+      klights[light_index].co[1] = co.y;
+      klights[light_index].co[2] = co.z;
+
+      klights[light_index].spot.radius = radius;
+      klights[light_index].spot.invarea = invarea;
+    }
+    else if (light->light_type == LIGHT_DISTANT) {
+      shader_id &= ~SHADER_AREA_LIGHT;
+
+      float angle = light->angle / 2.0f;
+      float radius = tanf(angle);
+      float cosangle = cosf(angle);
+      float area = M_PI_F * radius * radius;
+      float invarea = (area > 0.0f) ? 1.0f / area : 1.0f;
+      float3 dir = light->dir;
+
+      dir = safe_normalize(dir);
+
+      if (light->use_mis && area > 0.0f)
+        shader_id |= SHADER_USE_MIS;
+
+      klights[light_index].co[0] = dir.x;
+      klights[light_index].co[1] = dir.y;
+      klights[light_index].co[2] = dir.z;
+
+      klights[light_index].distant.invarea = invarea;
+      klights[light_index].distant.radius = radius;
+      klights[light_index].distant.cosangle = cosangle;
+    }
+    else if (light->light_type == LIGHT_BACKGROUND) {
+      uint visibility = scene->background->get_visibility();
+
+      shader_id &= ~SHADER_AREA_LIGHT;
+      shader_id |= SHADER_USE_MIS;
+
+      if (!(visibility & PATH_RAY_DIFFUSE)) {
+        shader_id |= SHADER_EXCLUDE_DIFFUSE;
+      }
+      if (!(visibility & PATH_RAY_GLOSSY)) {
+        shader_id |= SHADER_EXCLUDE_GLOSSY;
+      }
+      if (!(visibility & PATH_RAY_TRANSMIT)) {
+        shader_id |= SHADER_EXCLUDE_TRANSMIT;
+      }
+      if (!(visibility & PATH_RAY_VOLUME_SCATTER)) {
+        shader_id |= SHADER_EXCLUDE_SCATTER;
+      }
+    }
+    else if (light->light_type == LIGHT_AREA) {
+      float3 axisu = light->axisu * (light->sizeu * light->size);
+      float3 axisv = light->axisv * (light->sizev * light->size);
+      float area = len(axisu) * len(axisv);
+      if (light->round) {
+        area *= -M_PI_4_F;
+      }
+      float invarea = (area != 0.0f) ? 1.0f / area : 1.0f;
+      float3 dir = light->dir;
+
+      /* Convert from spread angle 0..180 to 90..0, clamping to a minimum
+       * angle to avoid excessive noise. */
+      const float min_spread_angle = 1.0f * M_PI_F / 180.0f;
+      const float spread_angle = 0.5f * (M_PI_F - max(light->spread, min_spread_angle));
+      /* Normalization computed using:
+       * integrate cos(x) * (1 - tan(x) * tan(a)) * sin(x) from x = 0 to pi/2 - a. */
+      const float tan_spread = tanf(spread_angle);
+      const float normalize_spread = 2.0f / (2.0f + (2.0f * spread_angle - M_PI_F) * tan_spread);
+
+      dir = safe_normalize(dir);
+
+      if (light->use_mis && area != 0.0f)
+        shader_id |= SHADER_USE_MIS;
+
+      klights[light_index].co[0] = co.x;
+      klights[light_index].co[1] = co.y;
+      klights[light_index].co[2] = co.z;
+
+      klights[light_index].area.axisu[0] = axisu.x;
+      klights[light_index].area.axisu[1] = axisu.y;
+      klights[light_index].area.axisu[2] = axisu.z;
+      klights[light_index].area.axisv[0] = axisv.x;
+      klights[light_index].area.axisv[1] = axisv.y;
+      klights[light_index].area.axisv[2] = axisv.z;
+      klights[light_index].area.invarea = invarea;
+      klights[light_index].area.dir[0] = dir.x;
+      klights[light_index].area.dir[1] = dir.y;
+      klights[light_index].area.dir[2] = dir.z;
+      klights[light_index].area.tan_spread = tan_spread;
+      klights[light_index].area.normalize_spread = normalize_spread;
+    }
+    else if (light->light_type == LIGHT_SPOT) {
+      shader_id &= ~SHADER_AREA_LIGHT;
+
+      float radius = light->size;
+      float invarea = (radius > 0.0f) ? 1.0f / (M_PI_F * radius * radius) : 1.0f;
+      float spot_angle = cosf(light->spot_angle * 0.5f);
+      float spot_smooth = (1.0f - spot_angle) * light->spot_smooth;
+      float3 dir = light->dir;
+
+      dir = safe_normalize(dir);
+
+      if (light->use_mis && radius > 0.0f)
+        shader_id |= SHADER_USE_MIS;
+
+      klights[light_index].co[0] = co.x;
+      klights[light_index].co[1] = co.y;
+      klights[light_index].co[2] = co.z;
+
+      klights[light_index].spot.radius = radius;
+      klights[light_index].spot.invarea = invarea;
+      klights[light_index].spot.spot_angle = spot_angle;
+      klights[light_index].spot.spot_smooth = spot_smooth;
+      klights[light_index].spot.dir[0] = dir.x;
+      klights[light_index].spot.dir[1] = dir.y;
+      klights[light_index].spot.dir[2] = dir.z;
+    }
+
+    klights[light_index].shader_id = shader_id;
+
+    klights[light_index].max_bounces = max_bounces;
+    klights[light_index].random = random;
+
+    klights[light_index].tfm = light->tfm;
+    klights[light_index].itfm = transform_inverse(light->tfm);
+
+    light_index++;
+  }
+
+  /* TODO(sergey): Consider moving portals update to their own function
+   * keeping this one more manageable.
+   */
+  foreach (Light *light, scene->lights) {
+    if (!light->is_portal)
+      continue;
+    assert(light->light_type == LIGHT_AREA);
+
+    float3 co = light->co;
+    float3 axisu = light->axisu * (light->sizeu * light->size);
+    float3 axisv = light->axisv * (light->sizev * light->size);
+    float area = len(axisu) * len(axisv);
+    if (light->round) {
+      area *= -M_PI_4_F;
+    }
+    float invarea = (area != 0.0f) ? 1.0f / area : 1.0f;
+    float3 dir = light->dir;
+
+    dir = safe_normalize(dir);
+
+    klights[light_index].co[0] = co.x;
+    klights[light_index].co[1] = co.y;
+    klights[light_index].co[2] = co.z;
+
+    klights[light_index].area.axisu[0] = axisu.x;
+    klights[light_index].area.axisu[1] = axisu.y;
+    klights[light_index].area.axisu[2] = axisu.z;
+    klights[light_index].area.axisv[0] = axisv.x;
+    klights[light_index].area.axisv[1] = axisv.y;
+    klights[light_index].area.axisv[2] = axisv.z;
+    klights[light_index].area.invarea = invarea;
+    klights[light_index].area.dir[0] = dir.x;
+    klights[light_index].area.dir[1] = dir.y;
+    klights[light_index].area.dir[2] = dir.z;
+    klights[light_index].tfm = light->tfm;
+    klights[light_index].itfm = transform_inverse(light->tfm);
+
+    light_index++;
+  }
+
+  VLOG(1) << "Number of lights sent to the device: " << light_index;
+
+  VLOG(1) << "Number of lights without contribution: " << num_scene_lights - light_index;
+
+  dscene->lights.copy_to_device();
+}
+
+void LightManager::device_update(Device *device,
+                                 DeviceScene *dscene,
+                                 Scene *scene,
+                                 Progress &progress)
+{
+  if (!need_update())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->light.times.add_entry({"device_update", time});
+    }
+  });
+
+  VLOG(1) << "Total " << scene->lights.size() << " lights.";
+
+  /* Detect which lights are enabled, also determines if we need to update the background. */
+  test_enabled_lights(scene);
+
+  device_free(device, dscene, need_update_background);
+
+  device_update_points(device, dscene, scene);
+  if (progress.get_cancel())
+    return;
+
+  device_update_distribution(device, dscene, scene, progress);
+  if (progress.get_cancel())
+    return;
+
+  if (need_update_background) {
+    device_update_background(device, dscene, scene, progress);
+    if (progress.get_cancel())
+      return;
+  }
+
+  device_update_ies(dscene);
+  if (progress.get_cancel())
+    return;
+
+  update_flags = UPDATE_NONE;
+  need_update_background = false;
+}
+
+void LightManager::device_free(Device *, DeviceScene *dscene, const bool free_background)
+{
+  dscene->light_distribution.free();
+  dscene->lights.free();
+  if (free_background) {
+    dscene->light_background_marginal_cdf.free();
+    dscene->light_background_conditional_cdf.free();
+  }
+  dscene->ies_lights.free();
+}
+
+void LightManager::tag_update(Scene * /*scene*/, uint32_t flag)
+{
+  update_flags |= flag;
+}
+
+bool LightManager::need_update() const
+{
+  return update_flags != UPDATE_NONE;
+}
+
+int LightManager::add_ies_from_file(const string &filename)
+{
+  string content;
+
+  /* If the file can't be opened, call with an empty line */
+  if (filename.empty() || !path_read_text(filename.c_str(), content)) {
+    content = "\n";
+  }
+
+  return add_ies(content);
+}
+
+int LightManager::add_ies(const string &content)
+{
+  uint hash = hash_string(content.c_str());
+
+  thread_scoped_lock ies_lock(ies_mutex);
+
+  /* Check whether this IES already has a slot. */
+  size_t slot;
+  for (slot = 0; slot < ies_slots.size(); slot++) {
+    if (ies_slots[slot]->hash == hash) {
+      ies_slots[slot]->users++;
+      return slot;
+    }
+  }
+
+  /* Try to find an empty slot for the new IES. */
+  for (slot = 0; slot < ies_slots.size(); slot++) {
+    if (ies_slots[slot]->users == 0 && ies_slots[slot]->hash == 0) {
+      break;
+    }
+  }
+
+  /* If there's no free slot, add one. */
+  if (slot == ies_slots.size()) {
+    ies_slots.push_back(new IESSlot());
+  }
+
+  ies_slots[slot]->ies.load(content);
+  ies_slots[slot]->users = 1;
+  ies_slots[slot]->hash = hash;
+
+  update_flags = UPDATE_ALL;
+  need_update_background = true;
+
+  return slot;
+}
+
+void LightManager::remove_ies(int slot)
+{
+  thread_scoped_lock ies_lock(ies_mutex);
+
+  if (slot < 0 || slot >= ies_slots.size()) {
+    assert(false);
+    return;
+  }
+
+  assert(ies_slots[slot]->users > 0);
+  ies_slots[slot]->users--;
+
+  /* If the slot has no more users, update the device to remove it. */
+  if (ies_slots[slot]->users == 0) {
+    update_flags |= UPDATE_ALL;
+    need_update_background = true;
+  }
+}
+
+void LightManager::device_update_ies(DeviceScene *dscene)
+{
+  /* Clear empty slots. */
+  foreach (IESSlot *slot, ies_slots) {
+    if (slot->users == 0) {
+      slot->hash = 0;
+      slot->ies.clear();
+    }
+  }
+
+  /* Shrink the slot table by removing empty slots at the end. */
+  int slot_end;
+  for (slot_end = ies_slots.size(); slot_end; slot_end--) {
+    if (ies_slots[slot_end - 1]->users > 0) {
+      /* If the preceding slot has users, we found the new end of the table. */
+      break;
+    }
+    else {
+      /* The slot will be past the new end of the table, so free it. */
+      delete ies_slots[slot_end - 1];
+    }
+  }
+  ies_slots.resize(slot_end);
+
+  if (ies_slots.size() > 0) {
+    int packed_size = 0;
+    foreach (IESSlot *slot, ies_slots) {
+      packed_size += slot->ies.packed_size();
+    }
+
+    /* ies_lights starts with an offset table that contains the offset of every slot,
+     * or -1 if the slot is invalid.
+     * Following that table, the packed valid IES lights are stored. */
+    float *data = dscene->ies_lights.alloc(ies_slots.size() + packed_size);
+
+    int offset = ies_slots.size();
+    for (int i = 0; i < ies_slots.size(); i++) {
+      int size = ies_slots[i]->ies.packed_size();
+      if (size > 0) {
+        data[i] = __int_as_float(offset);
+        ies_slots[i]->ies.pack(data + offset);
+        offset += size;
+      }
+      else {
+        data[i] = __int_as_float(-1);
+      }
+    }
+
+    dscene->ies_lights.copy_to_device();
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/light.h b/intern/cycles/scene/light.h
new file mode 100644
index 00000000000..9820508d3a5
--- /dev/null
+++ b/intern/cycles/scene/light.h
@@ -0,0 +1,171 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __LIGHT_H__
+#define __LIGHT_H__
+
+#include "kernel/kernel_types.h"
+
+#include "graph/node.h"
+
+/* included as Light::set_shader defined through NODE_SOCKET_API does not select
+ * the right Node::set overload as it does not know that Shader is a Node */
+#include "scene/shader.h"
+
+#include "util/util_ies.h"
+#include "util/util_thread.h"
+#include "util/util_types.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Object;
+class Progress;
+class Scene;
+class Shader;
+
+class Light : public Node {
+ public:
+  NODE_DECLARE;
+
+  Light();
+
+  NODE_SOCKET_API(LightType, light_type)
+  NODE_SOCKET_API(float3, strength)
+  NODE_SOCKET_API(float3, co)
+
+  NODE_SOCKET_API(float3, dir)
+  NODE_SOCKET_API(float, size)
+  NODE_SOCKET_API(float, angle)
+
+  NODE_SOCKET_API(float3, axisu)
+  NODE_SOCKET_API(float, sizeu)
+  NODE_SOCKET_API(float3, axisv)
+  NODE_SOCKET_API(float, sizev)
+  NODE_SOCKET_API(bool, round)
+  NODE_SOCKET_API(float, spread)
+
+  NODE_SOCKET_API(Transform, tfm)
+
+  NODE_SOCKET_API(int, map_resolution)
+
+  NODE_SOCKET_API(float, spot_angle)
+  NODE_SOCKET_API(float, spot_smooth)
+
+  NODE_SOCKET_API(bool, cast_shadow)
+  NODE_SOCKET_API(bool, use_mis)
+  NODE_SOCKET_API(bool, use_camera)
+  NODE_SOCKET_API(bool, use_diffuse)
+  NODE_SOCKET_API(bool, use_glossy)
+  NODE_SOCKET_API(bool, use_transmission)
+  NODE_SOCKET_API(bool, use_scatter)
+
+  NODE_SOCKET_API(bool, is_shadow_catcher)
+  NODE_SOCKET_API(bool, is_portal)
+  NODE_SOCKET_API(bool, is_enabled)
+
+  NODE_SOCKET_API(Shader *, shader)
+  NODE_SOCKET_API(int, max_bounces)
+  NODE_SOCKET_API(uint, random_id)
+
+  void tag_update(Scene *scene);
+
+  /* Check whether the light has contribution the scene. */
+  bool has_contribution(Scene *scene);
+
+  friend class LightManager;
+};
+
+class LightManager {
+ public:
+  enum : uint32_t {
+    MESH_NEED_REBUILD = (1 << 0),
+    EMISSIVE_MESH_MODIFIED = (1 << 1),
+    LIGHT_MODIFIED = (1 << 2),
+    LIGHT_ADDED = (1 << 3),
+    LIGHT_REMOVED = (1 << 4),
+    OBJECT_MANAGER = (1 << 5),
+    SHADER_COMPILED = (1 << 6),
+    SHADER_MODIFIED = (1 << 7),
+
+    /* tag everything in the manager for an update */
+    UPDATE_ALL = ~0u,
+
+    UPDATE_NONE = 0u,
+  };
+
+  /* Need to update background (including multiple importance map) */
+  bool need_update_background;
+
+  LightManager();
+  ~LightManager();
+
+  /* IES texture management */
+  int add_ies(const string &ies);
+  int add_ies_from_file(const string &filename);
+  void remove_ies(int slot);
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+  void device_free(Device *device, DeviceScene *dscene, const bool free_background = true);
+
+  void tag_update(Scene *scene, uint32_t flag);
+
+  bool need_update() const;
+
+  /* Check whether there is a background light. */
+  bool has_background_light(Scene *scene);
+
+ protected:
+  /* Optimization: disable light which is either unsupported or
+   * which doesn't contribute to the scene or which is only used for MIS
+   * and scene doesn't need MIS.
+   */
+  void test_enabled_lights(Scene *scene);
+
+  void device_update_points(Device *device, DeviceScene *dscene, Scene *scene);
+  void device_update_distribution(Device *device,
+                                  DeviceScene *dscene,
+                                  Scene *scene,
+                                  Progress &progress);
+  void device_update_background(Device *device,
+                                DeviceScene *dscene,
+                                Scene *scene,
+                                Progress &progress);
+  void device_update_ies(DeviceScene *dscene);
+
+  /* Check whether light manager can use the object as a light-emissive. */
+  bool object_usable_as_light(Object *object);
+
+  struct IESSlot {
+    IESFile ies;
+    uint hash;
+    int users;
+  };
+
+  vector<IESSlot *> ies_slots;
+  thread_mutex ies_mutex;
+
+  bool last_background_enabled;
+  int last_background_resolution;
+
+  uint32_t update_flags;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __LIGHT_H__ */
diff --git a/intern/cycles/scene/mesh.cpp b/intern/cycles/scene/mesh.cpp
new file mode 100644
index 00000000000..1ed0eb4c30a
--- /dev/null
+++ b/intern/cycles/scene/mesh.cpp
@@ -0,0 +1,812 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "bvh/bvh.h"
+#include "bvh/bvh_build.h"
+
+#include "device/device.h"
+
+#include "scene/hair.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader_graph.h"
+
+#include "subd/subd_patch_table.h"
+#include "subd/subd_split.h"
+
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_progress.h"
+#include "util/util_set.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Triangle */
+
+void Mesh::Triangle::bounds_grow(const float3 *verts, BoundBox &bounds) const
+{
+  bounds.grow(verts[v[0]]);
+  bounds.grow(verts[v[1]]);
+  bounds.grow(verts[v[2]]);
+}
+
+void Mesh::Triangle::motion_verts(const float3 *verts,
+                                  const float3 *vert_steps,
+                                  size_t num_verts,
+                                  size_t num_steps,
+                                  float time,
+                                  float3 r_verts[3]) const
+{
+  /* Figure out which steps we need to fetch and their interpolation factor. */
+  const size_t max_step = num_steps - 1;
+  const size_t step = min((int)(time * max_step), max_step - 1);
+  const float t = time * max_step - step;
+  /* Fetch vertex coordinates. */
+  float3 curr_verts[3];
+  float3 next_verts[3];
+  verts_for_step(verts, vert_steps, num_verts, num_steps, step, curr_verts);
+  verts_for_step(verts, vert_steps, num_verts, num_steps, step + 1, next_verts);
+  /* Interpolate between steps. */
+  r_verts[0] = (1.0f - t) * curr_verts[0] + t * next_verts[0];
+  r_verts[1] = (1.0f - t) * curr_verts[1] + t * next_verts[1];
+  r_verts[2] = (1.0f - t) * curr_verts[2] + t * next_verts[2];
+}
+
+void Mesh::Triangle::verts_for_step(const float3 *verts,
+                                    const float3 *vert_steps,
+                                    size_t num_verts,
+                                    size_t num_steps,
+                                    size_t step,
+                                    float3 r_verts[3]) const
+{
+  const size_t center_step = ((num_steps - 1) / 2);
+  if (step == center_step) {
+    /* Center step: regular vertex location. */
+    r_verts[0] = verts[v[0]];
+    r_verts[1] = verts[v[1]];
+    r_verts[2] = verts[v[2]];
+  }
+  else {
+    /* Center step not stored in the attribute array array. */
+    if (step > center_step) {
+      step--;
+    }
+    size_t offset = step * num_verts;
+    r_verts[0] = vert_steps[offset + v[0]];
+    r_verts[1] = vert_steps[offset + v[1]];
+    r_verts[2] = vert_steps[offset + v[2]];
+  }
+}
+
+float3 Mesh::Triangle::compute_normal(const float3 *verts) const
+{
+  const float3 &v0 = verts[v[0]];
+  const float3 &v1 = verts[v[1]];
+  const float3 &v2 = verts[v[2]];
+  const float3 norm = cross(v1 - v0, v2 - v0);
+  const float normlen = len(norm);
+  if (normlen == 0.0f) {
+    return make_float3(1.0f, 0.0f, 0.0f);
+  }
+  return norm / normlen;
+}
+
+bool Mesh::Triangle::valid(const float3 *verts) const
+{
+  return isfinite3_safe(verts[v[0]]) && isfinite3_safe(verts[v[1]]) && isfinite3_safe(verts[v[2]]);
+}
+
+/* SubdFace */
+
+float3 Mesh::SubdFace::normal(const Mesh *mesh) const
+{
+  float3 v0 = mesh->verts[mesh->subd_face_corners[start_corner + 0]];
+  float3 v1 = mesh->verts[mesh->subd_face_corners[start_corner + 1]];
+  float3 v2 = mesh->verts[mesh->subd_face_corners[start_corner + 2]];
+
+  return safe_normalize(cross(v1 - v0, v2 - v0));
+}
+
+/* Mesh */
+
+NODE_DEFINE(Mesh)
+{
+  NodeType *type = NodeType::add("mesh", create, NodeType::NONE, Geometry::get_node_base_type());
+
+  SOCKET_INT_ARRAY(triangles, "Triangles", array<int>());
+  SOCKET_POINT_ARRAY(verts, "Vertices", array<float3>());
+  SOCKET_INT_ARRAY(shader, "Shader", array<int>());
+  SOCKET_BOOLEAN_ARRAY(smooth, "Smooth", array<bool>());
+
+  SOCKET_INT_ARRAY(triangle_patch, "Triangle Patch", array<int>());
+  SOCKET_POINT2_ARRAY(vert_patch_uv, "Patch UVs", array<float2>());
+
+  static NodeEnum subdivision_type_enum;
+  subdivision_type_enum.insert("none", SUBDIVISION_NONE);
+  subdivision_type_enum.insert("linear", SUBDIVISION_LINEAR);
+  subdivision_type_enum.insert("catmull_clark", SUBDIVISION_CATMULL_CLARK);
+  SOCKET_ENUM(subdivision_type, "Subdivision Type", subdivision_type_enum, SUBDIVISION_NONE);
+
+  SOCKET_INT_ARRAY(subd_creases_edge, "Subdivision Crease Edges", array<int>());
+  SOCKET_FLOAT_ARRAY(subd_creases_weight, "Subdivision Crease Weights", array<float>());
+  SOCKET_INT_ARRAY(subd_face_corners, "Subdivision Face Corners", array<int>());
+  SOCKET_INT_ARRAY(subd_start_corner, "Subdivision Face Start Corner", array<int>());
+  SOCKET_INT_ARRAY(subd_num_corners, "Subdivision Face Corner Count", array<int>());
+  SOCKET_INT_ARRAY(subd_shader, "Subdivision Face Shader", array<int>());
+  SOCKET_BOOLEAN_ARRAY(subd_smooth, "Subdivision Face Smooth", array<bool>());
+  SOCKET_INT_ARRAY(subd_ptex_offset, "Subdivision Face PTex Offset", array<int>());
+  SOCKET_INT(num_ngons, "NGons Number", 0);
+
+  /* Subdivisions parameters */
+  SOCKET_FLOAT(subd_dicing_rate, "Subdivision Dicing Rate", 0.0f)
+  SOCKET_INT(subd_max_level, "Subdivision Dicing Rate", 0);
+  SOCKET_TRANSFORM(subd_objecttoworld, "Subdivision Object Transform", transform_identity());
+
+  return type;
+}
+
+SubdParams *Mesh::get_subd_params()
+{
+  if (subdivision_type == SubdivisionType::SUBDIVISION_NONE) {
+    return nullptr;
+  }
+
+  if (!subd_params) {
+    subd_params = new SubdParams(this);
+  }
+
+  subd_params->dicing_rate = subd_dicing_rate;
+  subd_params->max_level = subd_max_level;
+  subd_params->objecttoworld = subd_objecttoworld;
+
+  return subd_params;
+}
+
+bool Mesh::need_tesselation()
+{
+  return get_subd_params() && (verts_is_modified() || subd_dicing_rate_is_modified() ||
+                               subd_objecttoworld_is_modified() || subd_max_level_is_modified());
+}
+
+Mesh::Mesh(const NodeType *node_type, Type geom_type_)
+    : Geometry(node_type, geom_type_), subd_attributes(this, ATTR_PRIM_SUBD)
+{
+  vert_offset = 0;
+
+  patch_offset = 0;
+  face_offset = 0;
+  corner_offset = 0;
+
+  num_subd_verts = 0;
+  num_subd_faces = 0;
+
+  num_ngons = 0;
+
+  subdivision_type = SUBDIVISION_NONE;
+  subd_params = NULL;
+
+  patch_table = NULL;
+}
+
+Mesh::Mesh() : Mesh(get_node_type(), Geometry::MESH)
+{
+}
+
+Mesh::~Mesh()
+{
+  delete patch_table;
+  delete subd_params;
+}
+
+void Mesh::resize_mesh(int numverts, int numtris)
+{
+  verts.resize(numverts);
+  triangles.resize(numtris * 3);
+  shader.resize(numtris);
+  smooth.resize(numtris);
+
+  if (get_num_subd_faces()) {
+    triangle_patch.resize(numtris);
+    vert_patch_uv.resize(numverts);
+  }
+
+  attributes.resize();
+}
+
+void Mesh::reserve_mesh(int numverts, int numtris)
+{
+  /* reserve space to add verts and triangles later */
+  verts.reserve(numverts);
+  triangles.reserve(numtris * 3);
+  shader.reserve(numtris);
+  smooth.reserve(numtris);
+
+  if (get_num_subd_faces()) {
+    triangle_patch.reserve(numtris);
+    vert_patch_uv.reserve(numverts);
+  }
+
+  attributes.resize(true);
+}
+
+void Mesh::resize_subd_faces(int numfaces, int num_ngons_, int numcorners)
+{
+  subd_start_corner.resize(numfaces);
+  subd_num_corners.resize(numfaces);
+  subd_shader.resize(numfaces);
+  subd_smooth.resize(numfaces);
+  subd_ptex_offset.resize(numfaces);
+  subd_face_corners.resize(numcorners);
+  num_ngons = num_ngons_;
+  num_subd_faces = numfaces;
+
+  subd_attributes.resize();
+}
+
+void Mesh::reserve_subd_faces(int numfaces, int num_ngons_, int numcorners)
+{
+  subd_start_corner.reserve(numfaces);
+  subd_num_corners.reserve(numfaces);
+  subd_shader.reserve(numfaces);
+  subd_smooth.reserve(numfaces);
+  subd_ptex_offset.reserve(numfaces);
+  subd_face_corners.reserve(numcorners);
+  num_ngons = num_ngons_;
+  num_subd_faces = numfaces;
+
+  subd_attributes.resize(true);
+}
+
+void Mesh::reserve_subd_creases(size_t num_creases)
+{
+  subd_creases_edge.reserve(num_creases * 2);
+  subd_creases_weight.reserve(num_creases);
+}
+
+void Mesh::clear_non_sockets()
+{
+  Geometry::clear(true);
+
+  num_subd_verts = 0;
+  num_subd_faces = 0;
+
+  vert_to_stitching_key_map.clear();
+  vert_stitching_map.clear();
+
+  delete patch_table;
+  patch_table = NULL;
+}
+
+void Mesh::clear(bool preserve_shaders, bool preserve_voxel_data)
+{
+  Geometry::clear(preserve_shaders);
+
+  /* clear all verts and triangles */
+  verts.clear();
+  triangles.clear();
+  shader.clear();
+  smooth.clear();
+
+  triangle_patch.clear();
+  vert_patch_uv.clear();
+
+  subd_start_corner.clear();
+  subd_num_corners.clear();
+  subd_shader.clear();
+  subd_smooth.clear();
+  subd_ptex_offset.clear();
+  subd_face_corners.clear();
+
+  subd_creases_edge.clear();
+  subd_creases_weight.clear();
+
+  subd_attributes.clear();
+  attributes.clear(preserve_voxel_data);
+
+  subdivision_type = SubdivisionType::SUBDIVISION_NONE;
+
+  clear_non_sockets();
+}
+
+void Mesh::clear(bool preserve_shaders)
+{
+  clear(preserve_shaders, false);
+}
+
+void Mesh::add_vertex(float3 P)
+{
+  verts.push_back_reserved(P);
+  tag_verts_modified();
+
+  if (get_num_subd_faces()) {
+    vert_patch_uv.push_back_reserved(zero_float2());
+    tag_vert_patch_uv_modified();
+  }
+}
+
+void Mesh::add_vertex_slow(float3 P)
+{
+  verts.push_back_slow(P);
+  tag_verts_modified();
+
+  if (get_num_subd_faces()) {
+    vert_patch_uv.push_back_slow(zero_float2());
+    tag_vert_patch_uv_modified();
+  }
+}
+
+void Mesh::add_triangle(int v0, int v1, int v2, int shader_, bool smooth_)
+{
+  triangles.push_back_reserved(v0);
+  triangles.push_back_reserved(v1);
+  triangles.push_back_reserved(v2);
+  shader.push_back_reserved(shader_);
+  smooth.push_back_reserved(smooth_);
+
+  tag_triangles_modified();
+  tag_shader_modified();
+  tag_smooth_modified();
+
+  if (get_num_subd_faces()) {
+    triangle_patch.push_back_reserved(-1);
+    tag_triangle_patch_modified();
+  }
+}
+
+void Mesh::add_subd_face(int *corners, int num_corners, int shader_, bool smooth_)
+{
+  int start_corner = subd_face_corners.size();
+
+  for (int i = 0; i < num_corners; i++) {
+    subd_face_corners.push_back_reserved(corners[i]);
+  }
+
+  int ptex_offset = 0;
+  // cannot use get_num_subd_faces here as it holds the total number of subd_faces, but we do not
+  // have the total amount of data yet
+  if (subd_shader.size()) {
+    SubdFace s = get_subd_face(subd_shader.size() - 1);
+    ptex_offset = s.ptex_offset + s.num_ptex_faces();
+  }
+
+  subd_start_corner.push_back_reserved(start_corner);
+  subd_num_corners.push_back_reserved(num_corners);
+  subd_shader.push_back_reserved(shader_);
+  subd_smooth.push_back_reserved(smooth_);
+  subd_ptex_offset.push_back_reserved(ptex_offset);
+
+  tag_subd_face_corners_modified();
+  tag_subd_start_corner_modified();
+  tag_subd_num_corners_modified();
+  tag_subd_shader_modified();
+  tag_subd_smooth_modified();
+  tag_subd_ptex_offset_modified();
+}
+
+Mesh::SubdFace Mesh::get_subd_face(size_t index) const
+{
+  Mesh::SubdFace s;
+  s.shader = subd_shader[index];
+  s.num_corners = subd_num_corners[index];
+  s.smooth = subd_smooth[index];
+  s.ptex_offset = subd_ptex_offset[index];
+  s.start_corner = subd_start_corner[index];
+  return s;
+}
+
+void Mesh::add_crease(int v0, int v1, float weight)
+{
+  subd_creases_edge.push_back_slow(v0);
+  subd_creases_edge.push_back_slow(v1);
+  subd_creases_weight.push_back_slow(weight);
+
+  tag_subd_creases_edge_modified();
+  tag_subd_creases_edge_modified();
+  tag_subd_creases_weight_modified();
+}
+
+void Mesh::copy_center_to_motion_step(const int motion_step)
+{
+  Attribute *attr_mP = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+
+  if (attr_mP) {
+    Attribute *attr_mN = attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
+    Attribute *attr_N = attributes.find(ATTR_STD_VERTEX_NORMAL);
+    float3 *P = &verts[0];
+    float3 *N = (attr_N) ? attr_N->data_float3() : NULL;
+    size_t numverts = verts.size();
+
+    memcpy(attr_mP->data_float3() + motion_step * numverts, P, sizeof(float3) * numverts);
+    if (attr_mN)
+      memcpy(attr_mN->data_float3() + motion_step * numverts, N, sizeof(float3) * numverts);
+  }
+}
+
+void Mesh::get_uv_tiles(ustring map, unordered_set<int> &tiles)
+{
+  Attribute *attr, *subd_attr;
+
+  if (map.empty()) {
+    attr = attributes.find(ATTR_STD_UV);
+    subd_attr = subd_attributes.find(ATTR_STD_UV);
+  }
+  else {
+    attr = attributes.find(map);
+    subd_attr = subd_attributes.find(map);
+  }
+
+  if (attr) {
+    attr->get_uv_tiles(this, ATTR_PRIM_GEOMETRY, tiles);
+  }
+  if (subd_attr) {
+    subd_attr->get_uv_tiles(this, ATTR_PRIM_SUBD, tiles);
+  }
+}
+
+void Mesh::compute_bounds()
+{
+  BoundBox bnds = BoundBox::empty;
+  size_t verts_size = verts.size();
+
+  if (verts_size > 0) {
+    for (size_t i = 0; i < verts_size; i++)
+      bnds.grow(verts[i]);
+
+    Attribute *attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+    if (use_motion_blur && attr) {
+      size_t steps_size = verts.size() * (motion_steps - 1);
+      float3 *vert_steps = attr->data_float3();
+
+      for (size_t i = 0; i < steps_size; i++)
+        bnds.grow(vert_steps[i]);
+    }
+
+    if (!bnds.valid()) {
+      bnds = BoundBox::empty;
+
+      /* skip nan or inf coordinates */
+      for (size_t i = 0; i < verts_size; i++)
+        bnds.grow_safe(verts[i]);
+
+      if (use_motion_blur && attr) {
+        size_t steps_size = verts.size() * (motion_steps - 1);
+        float3 *vert_steps = attr->data_float3();
+
+        for (size_t i = 0; i < steps_size; i++)
+          bnds.grow_safe(vert_steps[i]);
+      }
+    }
+  }
+
+  if (!bnds.valid()) {
+    /* empty mesh */
+    bnds.grow(zero_float3());
+  }
+
+  bounds = bnds;
+}
+
+void Mesh::apply_transform(const Transform &tfm, const bool apply_to_motion)
+{
+  transform_normal = transform_transposed_inverse(tfm);
+
+  /* apply to mesh vertices */
+  for (size_t i = 0; i < verts.size(); i++)
+    verts[i] = transform_point(&tfm, verts[i]);
+
+  tag_verts_modified();
+
+  if (apply_to_motion) {
+    Attribute *attr = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+
+    if (attr) {
+      size_t steps_size = verts.size() * (motion_steps - 1);
+      float3 *vert_steps = attr->data_float3();
+
+      for (size_t i = 0; i < steps_size; i++)
+        vert_steps[i] = transform_point(&tfm, vert_steps[i]);
+    }
+
+    Attribute *attr_N = attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
+
+    if (attr_N) {
+      Transform ntfm = transform_normal;
+      size_t steps_size = verts.size() * (motion_steps - 1);
+      float3 *normal_steps = attr_N->data_float3();
+
+      for (size_t i = 0; i < steps_size; i++)
+        normal_steps[i] = normalize(transform_direction(&ntfm, normal_steps[i]));
+    }
+  }
+}
+
+void Mesh::add_face_normals()
+{
+  /* don't compute if already there */
+  if (attributes.find(ATTR_STD_FACE_NORMAL))
+    return;
+
+  /* get attributes */
+  Attribute *attr_fN = attributes.add(ATTR_STD_FACE_NORMAL);
+  float3 *fN = attr_fN->data_float3();
+
+  /* compute face normals */
+  size_t triangles_size = num_triangles();
+
+  if (triangles_size) {
+    float3 *verts_ptr = verts.data();
+
+    for (size_t i = 0; i < triangles_size; i++) {
+      fN[i] = get_triangle(i).compute_normal(verts_ptr);
+    }
+  }
+
+  /* expected to be in local space */
+  if (transform_applied) {
+    Transform ntfm = transform_inverse(transform_normal);
+
+    for (size_t i = 0; i < triangles_size; i++)
+      fN[i] = normalize(transform_direction(&ntfm, fN[i]));
+  }
+}
+
+void Mesh::add_vertex_normals()
+{
+  bool flip = transform_negative_scaled;
+  size_t verts_size = verts.size();
+  size_t triangles_size = num_triangles();
+
+  /* static vertex normals */
+  if (!attributes.find(ATTR_STD_VERTEX_NORMAL) && triangles_size) {
+    /* get attributes */
+    Attribute *attr_fN = attributes.find(ATTR_STD_FACE_NORMAL);
+    Attribute *attr_vN = attributes.add(ATTR_STD_VERTEX_NORMAL);
+
+    float3 *fN = attr_fN->data_float3();
+    float3 *vN = attr_vN->data_float3();
+
+    /* compute vertex normals */
+    memset(vN, 0, verts.size() * sizeof(float3));
+
+    for (size_t i = 0; i < triangles_size; i++) {
+      for (size_t j = 0; j < 3; j++) {
+        vN[get_triangle(i).v[j]] += fN[i];
+      }
+    }
+
+    for (size_t i = 0; i < verts_size; i++) {
+      vN[i] = normalize(vN[i]);
+      if (flip) {
+        vN[i] = -vN[i];
+      }
+    }
+  }
+
+  /* motion vertex normals */
+  Attribute *attr_mP = attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+  Attribute *attr_mN = attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
+
+  if (has_motion_blur() && attr_mP && !attr_mN && triangles_size) {
+    /* create attribute */
+    attr_mN = attributes.add(ATTR_STD_MOTION_VERTEX_NORMAL);
+
+    for (int step = 0; step < motion_steps - 1; step++) {
+      float3 *mP = attr_mP->data_float3() + step * verts.size();
+      float3 *mN = attr_mN->data_float3() + step * verts.size();
+
+      /* compute */
+      memset(mN, 0, verts.size() * sizeof(float3));
+
+      for (size_t i = 0; i < triangles_size; i++) {
+        for (size_t j = 0; j < 3; j++) {
+          float3 fN = get_triangle(i).compute_normal(mP);
+          mN[get_triangle(i).v[j]] += fN;
+        }
+      }
+
+      for (size_t i = 0; i < verts_size; i++) {
+        mN[i] = normalize(mN[i]);
+        if (flip) {
+          mN[i] = -mN[i];
+        }
+      }
+    }
+  }
+
+  /* subd vertex normals */
+  if (!subd_attributes.find(ATTR_STD_VERTEX_NORMAL) && get_num_subd_faces()) {
+    /* get attributes */
+    Attribute *attr_vN = subd_attributes.add(ATTR_STD_VERTEX_NORMAL);
+    float3 *vN = attr_vN->data_float3();
+
+    /* compute vertex normals */
+    memset(vN, 0, verts.size() * sizeof(float3));
+
+    for (size_t i = 0; i < get_num_subd_faces(); i++) {
+      SubdFace face = get_subd_face(i);
+      float3 fN = face.normal(this);
+
+      for (size_t j = 0; j < face.num_corners; j++) {
+        size_t corner = subd_face_corners[face.start_corner + j];
+        vN[corner] += fN;
+      }
+    }
+
+    for (size_t i = 0; i < verts_size; i++) {
+      vN[i] = normalize(vN[i]);
+      if (flip) {
+        vN[i] = -vN[i];
+      }
+    }
+  }
+}
+
+void Mesh::add_undisplaced()
+{
+  AttributeSet &attrs = (subdivision_type == SUBDIVISION_NONE) ? attributes : subd_attributes;
+
+  /* don't compute if already there */
+  if (attrs.find(ATTR_STD_POSITION_UNDISPLACED)) {
+    return;
+  }
+
+  /* get attribute */
+  Attribute *attr = attrs.add(ATTR_STD_POSITION_UNDISPLACED);
+  attr->flags |= ATTR_SUBDIVIDED;
+
+  float3 *data = attr->data_float3();
+
+  /* copy verts */
+  size_t size = attr->buffer_size(this, ATTR_PRIM_GEOMETRY);
+
+  /* Center points for ngons aren't stored in Mesh::verts but are included in size since they will
+   * be calculated later, we subtract them from size here so we don't have an overflow while
+   * copying.
+   */
+  size -= num_ngons * attr->data_sizeof();
+
+  if (size) {
+    memcpy(data, verts.data(), size);
+  }
+}
+
+void Mesh::pack_shaders(Scene *scene, uint *tri_shader)
+{
+  uint shader_id = 0;
+  uint last_shader = -1;
+  bool last_smooth = false;
+
+  size_t triangles_size = num_triangles();
+  int *shader_ptr = shader.data();
+
+  for (size_t i = 0; i < triangles_size; i++) {
+    if (shader_ptr[i] != last_shader || last_smooth != smooth[i]) {
+      last_shader = shader_ptr[i];
+      last_smooth = smooth[i];
+      Shader *shader = (last_shader < used_shaders.size()) ?
+                           static_cast<Shader *>(used_shaders[last_shader]) :
+                           scene->default_surface;
+      shader_id = scene->shader_manager->get_shader_id(shader, last_smooth);
+    }
+
+    tri_shader[i] = shader_id;
+  }
+}
+
+void Mesh::pack_normals(float4 *vnormal)
+{
+  Attribute *attr_vN = attributes.find(ATTR_STD_VERTEX_NORMAL);
+  if (attr_vN == NULL) {
+    /* Happens on objects with just hair. */
+    return;
+  }
+
+  bool do_transform = transform_applied;
+  Transform ntfm = transform_normal;
+
+  float3 *vN = attr_vN->data_float3();
+  size_t verts_size = verts.size();
+
+  for (size_t i = 0; i < verts_size; i++) {
+    float3 vNi = vN[i];
+
+    if (do_transform)
+      vNi = safe_normalize(transform_direction(&ntfm, vNi));
+
+    vnormal[i] = make_float4(vNi.x, vNi.y, vNi.z, 0.0f);
+  }
+}
+
+void Mesh::pack_verts(float4 *tri_verts, uint4 *tri_vindex, uint *tri_patch, float2 *tri_patch_uv)
+{
+  size_t verts_size = verts.size();
+
+  if (verts_size && get_num_subd_faces()) {
+    float2 *vert_patch_uv_ptr = vert_patch_uv.data();
+
+    for (size_t i = 0; i < verts_size; i++) {
+      tri_patch_uv[i] = vert_patch_uv_ptr[i];
+    }
+  }
+
+  size_t triangles_size = num_triangles();
+
+  for (size_t i = 0; i < triangles_size; i++) {
+    const Triangle t = get_triangle(i);
+    tri_vindex[i] = make_uint4(
+        t.v[0] + vert_offset, t.v[1] + vert_offset, t.v[2] + vert_offset, 3 * (prim_offset + i));
+
+    tri_patch[i] = (!get_num_subd_faces()) ? -1 : (triangle_patch[i] * 8 + patch_offset);
+
+    tri_verts[i * 3] = float3_to_float4(verts[t.v[0]]);
+    tri_verts[i * 3 + 1] = float3_to_float4(verts[t.v[1]]);
+    tri_verts[i * 3 + 2] = float3_to_float4(verts[t.v[2]]);
+  }
+}
+
+void Mesh::pack_patches(uint *patch_data)
+{
+  size_t num_faces = get_num_subd_faces();
+  int ngons = 0;
+
+  for (size_t f = 0; f < num_faces; f++) {
+    SubdFace face = get_subd_face(f);
+
+    if (face.is_quad()) {
+      int c[4];
+      memcpy(c, &subd_face_corners[face.start_corner], sizeof(int) * 4);
+
+      *(patch_data++) = c[0] + vert_offset;
+      *(patch_data++) = c[1] + vert_offset;
+      *(patch_data++) = c[2] + vert_offset;
+      *(patch_data++) = c[3] + vert_offset;
+
+      *(patch_data++) = f + face_offset;
+      *(patch_data++) = face.num_corners;
+      *(patch_data++) = face.start_corner + corner_offset;
+      *(patch_data++) = 0;
+    }
+    else {
+      for (int i = 0; i < face.num_corners; i++) {
+        int c[4];
+        c[0] = subd_face_corners[face.start_corner + mod(i + 0, face.num_corners)];
+        c[1] = subd_face_corners[face.start_corner + mod(i + 1, face.num_corners)];
+        c[2] = verts.size() - num_subd_verts + ngons;
+        c[3] = subd_face_corners[face.start_corner + mod(i - 1, face.num_corners)];
+
+        *(patch_data++) = c[0] + vert_offset;
+        *(patch_data++) = c[1] + vert_offset;
+        *(patch_data++) = c[2] + vert_offset;
+        *(patch_data++) = c[3] + vert_offset;
+
+        *(patch_data++) = f + face_offset;
+        *(patch_data++) = face.num_corners | (i << 16);
+        *(patch_data++) = face.start_corner + corner_offset;
+        *(patch_data++) = subd_face_corners.size() + ngons + corner_offset;
+      }
+
+      ngons++;
+    }
+  }
+}
+
+PrimitiveType Mesh::primitive_type() const
+{
+  return has_motion_blur() ? PRIMITIVE_MOTION_TRIANGLE : PRIMITIVE_TRIANGLE;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/mesh.h b/intern/cycles/scene/mesh.h
new file mode 100644
index 00000000000..bc549fa55fa
--- /dev/null
+++ b/intern/cycles/scene/mesh.h
@@ -0,0 +1,259 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __MESH_H__
+#define __MESH_H__
+
+#include "graph/node.h"
+
+#include "bvh/bvh_params.h"
+#include "scene/attribute.h"
+#include "scene/geometry.h"
+#include "scene/shader.h"
+
+#include "util/util_array.h"
+#include "util/util_boundbox.h"
+#include "util/util_list.h"
+#include "util/util_map.h"
+#include "util/util_param.h"
+#include "util/util_set.h"
+#include "util/util_types.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Attribute;
+class BVH;
+class Device;
+class DeviceScene;
+class Mesh;
+class Progress;
+class RenderStats;
+class Scene;
+class SceneParams;
+class AttributeRequest;
+struct SubdParams;
+class DiagSplit;
+struct PackedPatchTable;
+
+/* Mesh */
+
+class Mesh : public Geometry {
+ protected:
+  Mesh(const NodeType *node_type_, Type geom_type_);
+
+ public:
+  NODE_DECLARE
+
+  /* Mesh Triangle */
+  struct Triangle {
+    int v[3];
+
+    void bounds_grow(const float3 *verts, BoundBox &bounds) const;
+
+    void motion_verts(const float3 *verts,
+                      const float3 *vert_steps,
+                      size_t num_verts,
+                      size_t num_steps,
+                      float time,
+                      float3 r_verts[3]) const;
+
+    void verts_for_step(const float3 *verts,
+                        const float3 *vert_steps,
+                        size_t num_verts,
+                        size_t num_steps,
+                        size_t step,
+                        float3 r_verts[3]) const;
+
+    float3 compute_normal(const float3 *verts) const;
+
+    bool valid(const float3 *verts) const;
+  };
+
+  Triangle get_triangle(size_t i) const
+  {
+    Triangle tri = {{triangles[i * 3 + 0], triangles[i * 3 + 1], triangles[i * 3 + 2]}};
+    return tri;
+  }
+
+  size_t num_triangles() const
+  {
+    return triangles.size() / 3;
+  }
+
+  /* Mesh SubdFace */
+  struct SubdFace {
+    int start_corner;
+    int num_corners;
+    int shader;
+    bool smooth;
+    int ptex_offset;
+
+    bool is_quad()
+    {
+      return num_corners == 4;
+    }
+    float3 normal(const Mesh *mesh) const;
+    int num_ptex_faces() const
+    {
+      return num_corners == 4 ? 1 : num_corners;
+    }
+  };
+
+  struct SubdEdgeCrease {
+    int v[2];
+    float crease;
+  };
+
+  SubdEdgeCrease get_subd_crease(size_t i) const
+  {
+    SubdEdgeCrease s;
+    s.v[0] = subd_creases_edge[i * 2];
+    s.v[1] = subd_creases_edge[i * 2 + 1];
+    s.crease = subd_creases_weight[i];
+    return s;
+  }
+
+  bool need_tesselation();
+
+  enum SubdivisionType {
+    SUBDIVISION_NONE,
+    SUBDIVISION_LINEAR,
+    SUBDIVISION_CATMULL_CLARK,
+  };
+
+  NODE_SOCKET_API(SubdivisionType, subdivision_type)
+
+  /* Mesh Data */
+  NODE_SOCKET_API_ARRAY(array<int>, triangles)
+  NODE_SOCKET_API_ARRAY(array<float3>, verts)
+  NODE_SOCKET_API_ARRAY(array<int>, shader)
+  NODE_SOCKET_API_ARRAY(array<bool>, smooth)
+
+  /* used for storing patch info for subd triangles, only allocated if there are patches */
+  NODE_SOCKET_API_ARRAY(array<int>, triangle_patch) /* must be < 0 for non subd triangles */
+  NODE_SOCKET_API_ARRAY(array<float2>, vert_patch_uv)
+
+  /* SubdFaces */
+  NODE_SOCKET_API_ARRAY(array<int>, subd_start_corner)
+  NODE_SOCKET_API_ARRAY(array<int>, subd_num_corners)
+  NODE_SOCKET_API_ARRAY(array<int>, subd_shader)
+  NODE_SOCKET_API_ARRAY(array<bool>, subd_smooth)
+  NODE_SOCKET_API_ARRAY(array<int>, subd_ptex_offset)
+
+  NODE_SOCKET_API_ARRAY(array<int>, subd_face_corners)
+  NODE_SOCKET_API(int, num_ngons)
+
+  NODE_SOCKET_API_ARRAY(array<int>, subd_creases_edge)
+  NODE_SOCKET_API_ARRAY(array<float>, subd_creases_weight)
+
+  /* Subdivisions parameters */
+  NODE_SOCKET_API(float, subd_dicing_rate)
+  NODE_SOCKET_API(int, subd_max_level)
+  NODE_SOCKET_API(Transform, subd_objecttoworld)
+
+  AttributeSet subd_attributes;
+
+ private:
+  PackedPatchTable *patch_table;
+  /* BVH */
+  size_t vert_offset;
+
+  size_t patch_offset;
+  size_t patch_table_offset;
+  size_t face_offset;
+  size_t corner_offset;
+
+  size_t num_subd_verts;
+  size_t num_subd_faces;
+
+  unordered_map<int, int> vert_to_stitching_key_map; /* real vert index -> stitching index */
+  unordered_multimap<int, int>
+      vert_stitching_map; /* stitching index -> multiple real vert indices */
+
+  friend class BVH2;
+  friend class BVHBuild;
+  friend class BVHSpatialSplit;
+  friend class DiagSplit;
+  friend class EdgeDice;
+  friend class GeometryManager;
+  friend class ObjectManager;
+
+  SubdParams *subd_params = nullptr;
+
+ public:
+  /* Functions */
+  Mesh();
+  ~Mesh();
+
+  void resize_mesh(int numverts, int numfaces);
+  void reserve_mesh(int numverts, int numfaces);
+  void resize_subd_faces(int numfaces, int num_ngons, int numcorners);
+  void reserve_subd_faces(int numfaces, int num_ngons, int numcorners);
+  void reserve_subd_creases(size_t num_creases);
+  void clear_non_sockets();
+  void clear(bool preserve_shaders = false) override;
+  void add_vertex(float3 P);
+  void add_vertex_slow(float3 P);
+  void add_triangle(int v0, int v1, int v2, int shader, bool smooth);
+  void add_subd_face(int *corners, int num_corners, int shader_, bool smooth_);
+  void add_crease(int v0, int v1, float weight);
+
+  void copy_center_to_motion_step(const int motion_step);
+
+  void compute_bounds() override;
+  void apply_transform(const Transform &tfm, const bool apply_to_motion) override;
+  void add_face_normals();
+  void add_vertex_normals();
+  void add_undisplaced();
+
+  void get_uv_tiles(ustring map, unordered_set<int> &tiles) override;
+
+  void pack_shaders(Scene *scene, uint *shader);
+  void pack_normals(float4 *vnormal);
+  void pack_verts(float4 *tri_verts, uint4 *tri_vindex, uint *tri_patch, float2 *tri_patch_uv);
+  void pack_patches(uint *patch_data);
+
+  PrimitiveType primitive_type() const override;
+
+  void tessellate(DiagSplit *split);
+
+  SubdFace get_subd_face(size_t index) const;
+
+  SubdParams *get_subd_params();
+
+  size_t get_num_subd_faces() const
+  {
+    return num_subd_faces;
+  }
+
+  void set_num_subd_faces(size_t num_subd_faces_)
+  {
+    num_subd_faces = num_subd_faces_;
+  }
+
+  size_t get_num_subd_verts()
+  {
+    return num_subd_verts;
+  }
+
+ protected:
+  void clear(bool preserve_shaders, bool preserve_voxel_data);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __MESH_H__ */
diff --git a/intern/cycles/scene/mesh_displace.cpp b/intern/cycles/scene/mesh_displace.cpp
new file mode 100644
index 00000000000..c673d79f8fe
--- /dev/null
+++ b/intern/cycles/scene/mesh_displace.cpp
@@ -0,0 +1,410 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "device/device.h"
+
+#include "integrator/shader_eval.h"
+
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+
+#include "util/util_foreach.h"
+#include "util/util_map.h"
+#include "util/util_progress.h"
+#include "util/util_set.h"
+
+CCL_NAMESPACE_BEGIN
+
+static float3 compute_face_normal(const Mesh::Triangle &t, float3 *verts)
+{
+  float3 v0 = verts[t.v[0]];
+  float3 v1 = verts[t.v[1]];
+  float3 v2 = verts[t.v[2]];
+
+  float3 norm = cross(v1 - v0, v2 - v0);
+  float normlen = len(norm);
+
+  if (normlen == 0.0f)
+    return make_float3(1.0f, 0.0f, 0.0f);
+
+  return norm / normlen;
+}
+
+/* Fill in coordinates for mesh displacement shader evaluation on device. */
+static int fill_shader_input(const Scene *scene,
+                             const Mesh *mesh,
+                             const int object_index,
+                             device_vector<KernelShaderEvalInput> &d_input)
+{
+  int d_input_size = 0;
+  KernelShaderEvalInput *d_input_data = d_input.data();
+
+  const array<int> &mesh_shaders = mesh->get_shader();
+  const array<Node *> &mesh_used_shaders = mesh->get_used_shaders();
+  const array<float3> &mesh_verts = mesh->get_verts();
+
+  const int num_verts = mesh_verts.size();
+  vector<bool> done(num_verts, false);
+
+  int num_triangles = mesh->num_triangles();
+  for (int i = 0; i < num_triangles; i++) {
+    Mesh::Triangle t = mesh->get_triangle(i);
+    int shader_index = mesh_shaders[i];
+    Shader *shader = (shader_index < mesh_used_shaders.size()) ?
+                         static_cast<Shader *>(mesh_used_shaders[shader_index]) :
+                         scene->default_surface;
+
+    if (!shader->has_displacement || shader->get_displacement_method() == DISPLACE_BUMP) {
+      continue;
+    }
+
+    for (int j = 0; j < 3; j++) {
+      if (done[t.v[j]])
+        continue;
+
+      done[t.v[j]] = true;
+
+      /* set up object, primitive and barycentric coordinates */
+      int object = object_index;
+      int prim = mesh->prim_offset + i;
+      float u, v;
+
+      switch (j) {
+        case 0:
+          u = 1.0f;
+          v = 0.0f;
+          break;
+        case 1:
+          u = 0.0f;
+          v = 1.0f;
+          break;
+        default:
+          u = 0.0f;
+          v = 0.0f;
+          break;
+      }
+
+      /* back */
+      KernelShaderEvalInput in;
+      in.object = object;
+      in.prim = prim;
+      in.u = u;
+      in.v = v;
+      d_input_data[d_input_size++] = in;
+    }
+  }
+
+  return d_input_size;
+}
+
+/* Read back mesh displacement shader output. */
+static void read_shader_output(const Scene *scene,
+                               Mesh *mesh,
+                               const device_vector<float> &d_output)
+{
+  const array<int> &mesh_shaders = mesh->get_shader();
+  const array<Node *> &mesh_used_shaders = mesh->get_used_shaders();
+  array<float3> &mesh_verts = mesh->get_verts();
+
+  const int num_verts = mesh_verts.size();
+  const int num_motion_steps = mesh->get_motion_steps();
+  vector<bool> done(num_verts, false);
+
+  const float *d_output_data = d_output.data();
+  int d_output_index = 0;
+
+  Attribute *attr_mP = mesh->attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+  int num_triangles = mesh->num_triangles();
+  for (int i = 0; i < num_triangles; i++) {
+    Mesh::Triangle t = mesh->get_triangle(i);
+    int shader_index = mesh_shaders[i];
+    Shader *shader = (shader_index < mesh_used_shaders.size()) ?
+                         static_cast<Shader *>(mesh_used_shaders[shader_index]) :
+                         scene->default_surface;
+
+    if (!shader->has_displacement || shader->get_displacement_method() == DISPLACE_BUMP) {
+      continue;
+    }
+
+    for (int j = 0; j < 3; j++) {
+      if (!done[t.v[j]]) {
+        done[t.v[j]] = true;
+        float3 off = make_float3(d_output_data[d_output_index + 0],
+                                 d_output_data[d_output_index + 1],
+                                 d_output_data[d_output_index + 2]);
+        d_output_index += 3;
+
+        /* Avoid illegal vertex coordinates. */
+        off = ensure_finite3(off);
+        mesh_verts[t.v[j]] += off;
+        if (attr_mP != NULL) {
+          for (int step = 0; step < num_motion_steps - 1; step++) {
+            float3 *mP = attr_mP->data_float3() + step * num_verts;
+            mP[t.v[j]] += off;
+          }
+        }
+      }
+    }
+  }
+}
+
+bool GeometryManager::displace(Device *device, Scene *scene, Mesh *mesh, Progress &progress)
+{
+  /* verify if we have a displacement shader */
+  if (!mesh->has_true_displacement()) {
+    return false;
+  }
+
+  const size_t num_verts = mesh->verts.size();
+  const size_t num_triangles = mesh->num_triangles();
+
+  if (num_triangles == 0) {
+    return false;
+  }
+
+  string msg = string_printf("Computing Displacement %s", mesh->name.c_str());
+  progress.set_status("Updating Mesh", msg);
+
+  /* find object index. todo: is arbitrary */
+  size_t object_index = OBJECT_NONE;
+
+  for (size_t i = 0; i < scene->objects.size(); i++) {
+    if (scene->objects[i]->get_geometry() == mesh) {
+      object_index = i;
+      break;
+    }
+  }
+
+  /* Evaluate shader on device. */
+  ShaderEval shader_eval(device, progress);
+  if (!shader_eval.eval(SHADER_EVAL_DISPLACE,
+                        num_verts,
+                        3,
+                        function_bind(&fill_shader_input, scene, mesh, object_index, _1),
+                        function_bind(&read_shader_output, scene, mesh, _1))) {
+    return false;
+  }
+
+  /* stitch */
+  unordered_set<int> stitch_keys;
+  for (pair<int, int> i : mesh->vert_to_stitching_key_map) {
+    stitch_keys.insert(i.second); /* stitching index */
+  }
+
+  typedef unordered_multimap<int, int>::iterator map_it_t;
+
+  for (int key : stitch_keys) {
+    pair<map_it_t, map_it_t> verts = mesh->vert_stitching_map.equal_range(key);
+
+    float3 pos = zero_float3();
+    int num = 0;
+
+    for (map_it_t v = verts.first; v != verts.second; ++v) {
+      int vert = v->second;
+
+      pos += mesh->verts[vert];
+      num++;
+    }
+
+    if (num <= 1) {
+      continue;
+    }
+
+    pos *= 1.0f / num;
+
+    for (map_it_t v = verts.first; v != verts.second; ++v) {
+      mesh->verts[v->second] = pos;
+    }
+  }
+
+  /* for displacement method both, we only need to recompute the face
+   * normals, as bump mapping in the shader will already alter the
+   * vertex normal, so we start from the non-displaced vertex normals
+   * to avoid applying the perturbation twice. */
+  mesh->attributes.remove(ATTR_STD_FACE_NORMAL);
+  mesh->add_face_normals();
+
+  bool need_recompute_vertex_normals = false;
+
+  foreach (Node *node, mesh->get_used_shaders()) {
+    Shader *shader = static_cast<Shader *>(node);
+    if (shader->has_displacement && shader->get_displacement_method() == DISPLACE_TRUE) {
+      need_recompute_vertex_normals = true;
+      break;
+    }
+  }
+
+  if (need_recompute_vertex_normals) {
+    bool flip = mesh->transform_negative_scaled;
+    vector<bool> tri_has_true_disp(num_triangles, false);
+
+    for (size_t i = 0; i < num_triangles; i++) {
+      int shader_index = mesh->shader[i];
+      Shader *shader = (shader_index < mesh->used_shaders.size()) ?
+                           static_cast<Shader *>(mesh->used_shaders[shader_index]) :
+                           scene->default_surface;
+
+      tri_has_true_disp[i] = shader->has_displacement &&
+                             shader->get_displacement_method() == DISPLACE_TRUE;
+    }
+
+    /* static vertex normals */
+
+    /* get attributes */
+    Attribute *attr_fN = mesh->attributes.find(ATTR_STD_FACE_NORMAL);
+    Attribute *attr_vN = mesh->attributes.find(ATTR_STD_VERTEX_NORMAL);
+
+    float3 *fN = attr_fN->data_float3();
+    float3 *vN = attr_vN->data_float3();
+
+    /* compute vertex normals */
+
+    /* zero vertex normals on triangles with true displacement */
+    for (size_t i = 0; i < num_triangles; i++) {
+      if (tri_has_true_disp[i]) {
+        for (size_t j = 0; j < 3; j++) {
+          vN[mesh->get_triangle(i).v[j]] = zero_float3();
+        }
+      }
+    }
+
+    /* add face normals to vertex normals */
+    for (size_t i = 0; i < num_triangles; i++) {
+      if (tri_has_true_disp[i]) {
+        for (size_t j = 0; j < 3; j++) {
+          int vert = mesh->get_triangle(i).v[j];
+          vN[vert] += fN[i];
+
+          /* add face normals to stitched vertices */
+          if (stitch_keys.size()) {
+            map_it_t key = mesh->vert_to_stitching_key_map.find(vert);
+
+            if (key != mesh->vert_to_stitching_key_map.end()) {
+              pair<map_it_t, map_it_t> verts = mesh->vert_stitching_map.equal_range(key->second);
+
+              for (map_it_t v = verts.first; v != verts.second; ++v) {
+                if (v->second == vert) {
+                  continue;
+                }
+
+                vN[v->second] += fN[i];
+              }
+            }
+          }
+        }
+      }
+    }
+
+    /* normalize vertex normals */
+    vector<bool> done(num_verts, false);
+
+    for (size_t i = 0; i < num_triangles; i++) {
+      if (tri_has_true_disp[i]) {
+        for (size_t j = 0; j < 3; j++) {
+          int vert = mesh->get_triangle(i).v[j];
+
+          if (done[vert]) {
+            continue;
+          }
+
+          vN[vert] = normalize(vN[vert]);
+          if (flip)
+            vN[vert] = -vN[vert];
+
+          done[vert] = true;
+        }
+      }
+    }
+
+    /* motion vertex normals */
+    Attribute *attr_mP = mesh->attributes.find(ATTR_STD_MOTION_VERTEX_POSITION);
+    Attribute *attr_mN = mesh->attributes.find(ATTR_STD_MOTION_VERTEX_NORMAL);
+
+    if (mesh->has_motion_blur() && attr_mP && attr_mN) {
+      for (int step = 0; step < mesh->motion_steps - 1; step++) {
+        float3 *mP = attr_mP->data_float3() + step * mesh->verts.size();
+        float3 *mN = attr_mN->data_float3() + step * mesh->verts.size();
+
+        /* compute */
+
+        /* zero vertex normals on triangles with true displacement */
+        for (size_t i = 0; i < num_triangles; i++) {
+          if (tri_has_true_disp[i]) {
+            for (size_t j = 0; j < 3; j++) {
+              mN[mesh->get_triangle(i).v[j]] = zero_float3();
+            }
+          }
+        }
+
+        /* add face normals to vertex normals */
+        for (size_t i = 0; i < num_triangles; i++) {
+          if (tri_has_true_disp[i]) {
+            for (size_t j = 0; j < 3; j++) {
+              int vert = mesh->get_triangle(i).v[j];
+              float3 fN = compute_face_normal(mesh->get_triangle(i), mP);
+              mN[vert] += fN;
+
+              /* add face normals to stitched vertices */
+              if (stitch_keys.size()) {
+                map_it_t key = mesh->vert_to_stitching_key_map.find(vert);
+
+                if (key != mesh->vert_to_stitching_key_map.end()) {
+                  pair<map_it_t, map_it_t> verts = mesh->vert_stitching_map.equal_range(
+                      key->second);
+
+                  for (map_it_t v = verts.first; v != verts.second; ++v) {
+                    if (v->second == vert) {
+                      continue;
+                    }
+
+                    mN[v->second] += fN;
+                  }
+                }
+              }
+            }
+          }
+        }
+
+        /* normalize vertex normals */
+        vector<bool> done(num_verts, false);
+
+        for (size_t i = 0; i < num_triangles; i++) {
+          if (tri_has_true_disp[i]) {
+            for (size_t j = 0; j < 3; j++) {
+              int vert = mesh->get_triangle(i).v[j];
+
+              if (done[vert]) {
+                continue;
+              }
+
+              mN[vert] = normalize(mN[vert]);
+              if (flip)
+                mN[vert] = -mN[vert];
+
+              done[vert] = true;
+            }
+          }
+        }
+      }
+    }
+  }
+
+  return true;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/mesh_subdivision.cpp b/intern/cycles/scene/mesh_subdivision.cpp
new file mode 100644
index 00000000000..2b27d4b3b2a
--- /dev/null
+++ b/intern/cycles/scene/mesh_subdivision.cpp
@@ -0,0 +1,648 @@
+/*
+ * Copyright 2011-2016 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/attribute.h"
+#include "scene/camera.h"
+#include "scene/mesh.h"
+
+#include "subd/subd_patch.h"
+#include "subd/subd_patch_table.h"
+#include "subd/subd_split.h"
+
+#include "util/util_algorithm.h"
+#include "util/util_foreach.h"
+#include "util/util_hash.h"
+
+CCL_NAMESPACE_BEGIN
+
+#ifdef WITH_OPENSUBDIV
+
+CCL_NAMESPACE_END
+
+#  include <opensubdiv/far/patchMap.h>
+#  include <opensubdiv/far/patchTableFactory.h>
+#  include <opensubdiv/far/primvarRefiner.h>
+#  include <opensubdiv/far/topologyRefinerFactory.h>
+
+/* specializations of TopologyRefinerFactory for ccl::Mesh */
+
+namespace OpenSubdiv {
+namespace OPENSUBDIV_VERSION {
+namespace Far {
+template<>
+bool TopologyRefinerFactory<ccl::Mesh>::resizeComponentTopology(TopologyRefiner &refiner,
+                                                                ccl::Mesh const &mesh)
+{
+  setNumBaseVertices(refiner, mesh.get_verts().size());
+  setNumBaseFaces(refiner, mesh.get_num_subd_faces());
+
+  for (int i = 0; i < mesh.get_num_subd_faces(); i++) {
+    setNumBaseFaceVertices(refiner, i, mesh.get_subd_num_corners()[i]);
+  }
+
+  return true;
+}
+
+template<>
+bool TopologyRefinerFactory<ccl::Mesh>::assignComponentTopology(TopologyRefiner &refiner,
+                                                                ccl::Mesh const &mesh)
+{
+  const ccl::array<int> &subd_face_corners = mesh.get_subd_face_corners();
+  const ccl::array<int> &subd_start_corner = mesh.get_subd_start_corner();
+  const ccl::array<int> &subd_num_corners = mesh.get_subd_num_corners();
+
+  for (int i = 0; i < mesh.get_num_subd_faces(); i++) {
+    IndexArray face_verts = getBaseFaceVertices(refiner, i);
+
+    int start_corner = subd_start_corner[i];
+    int *corner = &subd_face_corners[start_corner];
+
+    for (int j = 0; j < subd_num_corners[i]; j++, corner++) {
+      face_verts[j] = *corner;
+    }
+  }
+
+  return true;
+}
+
+template<>
+bool TopologyRefinerFactory<ccl::Mesh>::assignComponentTags(TopologyRefiner &refiner,
+                                                            ccl::Mesh const &mesh)
+{
+  size_t num_creases = mesh.get_subd_creases_weight().size();
+
+  for (int i = 0; i < num_creases; i++) {
+    ccl::Mesh::SubdEdgeCrease crease = mesh.get_subd_crease(i);
+    Index edge = findBaseEdge(refiner, crease.v[0], crease.v[1]);
+
+    if (edge != INDEX_INVALID) {
+      setBaseEdgeSharpness(refiner, edge, crease.crease * 10.0f);
+    }
+  }
+
+  for (int i = 0; i < mesh.get_verts().size(); i++) {
+    ConstIndexArray vert_edges = getBaseVertexEdges(refiner, i);
+
+    if (vert_edges.size() == 2) {
+      float sharpness = refiner.getLevel(0).getEdgeSharpness(vert_edges[0]);
+      sharpness = ccl::min(sharpness, refiner.getLevel(0).getEdgeSharpness(vert_edges[1]));
+
+      setBaseVertexSharpness(refiner, i, sharpness);
+    }
+  }
+
+  return true;
+}
+
+template<>
+bool TopologyRefinerFactory<ccl::Mesh>::assignFaceVaryingTopology(TopologyRefiner & /*refiner*/,
+                                                                  ccl::Mesh const & /*mesh*/)
+{
+  return true;
+}
+
+template<>
+void TopologyRefinerFactory<ccl::Mesh>::reportInvalidTopology(TopologyError /*err_code*/,
+                                                              char const * /*msg*/,
+                                                              ccl::Mesh const & /*mesh*/)
+{
+}
+} /* namespace Far */
+} /* namespace OPENSUBDIV_VERSION */
+} /* namespace OpenSubdiv */
+
+CCL_NAMESPACE_BEGIN
+
+using namespace OpenSubdiv;
+
+/* struct that implements OpenSubdiv's vertex interface */
+
+template<typename T> struct OsdValue {
+  T value;
+
+  OsdValue()
+  {
+  }
+
+  void Clear(void * = 0)
+  {
+    memset(&value, 0, sizeof(T));
+  }
+
+  void AddWithWeight(OsdValue<T> const &src, float weight)
+  {
+    value += src.value * weight;
+  }
+};
+
+template<> void OsdValue<uchar4>::AddWithWeight(OsdValue<uchar4> const &src, float weight)
+{
+  for (int i = 0; i < 4; i++) {
+    value[i] += (uchar)(src.value[i] * weight);
+  }
+}
+
+/* class for holding OpenSubdiv data used during tessellation */
+
+class OsdData {
+  Mesh *mesh;
+  vector<OsdValue<float3>> verts;
+  Far::TopologyRefiner *refiner;
+  Far::PatchTable *patch_table;
+  Far::PatchMap *patch_map;
+
+ public:
+  OsdData() : mesh(NULL), refiner(NULL), patch_table(NULL), patch_map(NULL)
+  {
+  }
+
+  ~OsdData()
+  {
+    delete refiner;
+    delete patch_table;
+    delete patch_map;
+  }
+
+  void build_from_mesh(Mesh *mesh_)
+  {
+    mesh = mesh_;
+
+    /* type and options */
+    Sdc::SchemeType type = Sdc::SCHEME_CATMARK;
+
+    Sdc::Options options;
+    options.SetVtxBoundaryInterpolation(Sdc::Options::VTX_BOUNDARY_EDGE_ONLY);
+
+    /* create refiner */
+    refiner = Far::TopologyRefinerFactory<Mesh>::Create(
+        *mesh, Far::TopologyRefinerFactory<Mesh>::Options(type, options));
+
+    /* adaptive refinement */
+    int max_isolation = calculate_max_isolation();
+    refiner->RefineAdaptive(Far::TopologyRefiner::AdaptiveOptions(max_isolation));
+
+    /* create patch table */
+    Far::PatchTableFactory::Options patch_options;
+    patch_options.endCapType = Far::PatchTableFactory::Options::ENDCAP_GREGORY_BASIS;
+
+    patch_table = Far::PatchTableFactory::Create(*refiner, patch_options);
+
+    /* interpolate verts */
+    int num_refiner_verts = refiner->GetNumVerticesTotal();
+    int num_local_points = patch_table->GetNumLocalPoints();
+
+    verts.resize(num_refiner_verts + num_local_points);
+    for (int i = 0; i < mesh->get_verts().size(); i++) {
+      verts[i].value = mesh->get_verts()[i];
+    }
+
+    OsdValue<float3> *src = verts.data();
+    for (int i = 0; i < refiner->GetMaxLevel(); i++) {
+      OsdValue<float3> *dest = src + refiner->GetLevel(i).GetNumVertices();
+      Far::PrimvarRefiner(*refiner).Interpolate(i + 1, src, dest);
+      src = dest;
+    }
+
+    if (num_local_points) {
+      patch_table->ComputeLocalPointValues(&verts[0], &verts[num_refiner_verts]);
+    }
+
+    /* create patch map */
+    patch_map = new Far::PatchMap(*patch_table);
+  }
+
+  void subdivide_attribute(Attribute &attr)
+  {
+    Far::PrimvarRefiner primvar_refiner(*refiner);
+
+    if (attr.element == ATTR_ELEMENT_VERTEX) {
+      int num_refiner_verts = refiner->GetNumVerticesTotal();
+      int num_local_points = patch_table->GetNumLocalPoints();
+
+      attr.resize(num_refiner_verts + num_local_points);
+      attr.flags |= ATTR_FINAL_SIZE;
+
+      char *src = attr.buffer.data();
+
+      for (int i = 0; i < refiner->GetMaxLevel(); i++) {
+        char *dest = src + refiner->GetLevel(i).GetNumVertices() * attr.data_sizeof();
+
+        if (attr.same_storage(attr.type, TypeDesc::TypeFloat)) {
+          primvar_refiner.Interpolate(i + 1, (OsdValue<float> *)src, (OsdValue<float> *&)dest);
+        }
+        else if (attr.same_storage(attr.type, TypeFloat2)) {
+          primvar_refiner.Interpolate(i + 1, (OsdValue<float2> *)src, (OsdValue<float2> *&)dest);
+        }
+        else {
+          primvar_refiner.Interpolate(i + 1, (OsdValue<float4> *)src, (OsdValue<float4> *&)dest);
+        }
+
+        src = dest;
+      }
+
+      if (num_local_points) {
+        if (attr.same_storage(attr.type, TypeDesc::TypeFloat)) {
+          patch_table->ComputeLocalPointValues(
+              (OsdValue<float> *)&attr.buffer[0],
+              (OsdValue<float> *)&attr.buffer[num_refiner_verts * attr.data_sizeof()]);
+        }
+        else if (attr.same_storage(attr.type, TypeFloat2)) {
+          patch_table->ComputeLocalPointValues(
+              (OsdValue<float2> *)&attr.buffer[0],
+              (OsdValue<float2> *)&attr.buffer[num_refiner_verts * attr.data_sizeof()]);
+        }
+        else {
+          patch_table->ComputeLocalPointValues(
+              (OsdValue<float4> *)&attr.buffer[0],
+              (OsdValue<float4> *)&attr.buffer[num_refiner_verts * attr.data_sizeof()]);
+        }
+      }
+    }
+    else if (attr.element == ATTR_ELEMENT_CORNER || attr.element == ATTR_ELEMENT_CORNER_BYTE) {
+      // TODO(mai): fvar interpolation
+    }
+  }
+
+  int calculate_max_isolation()
+  {
+    /* loop over all edges to find longest in screen space */
+    const Far::TopologyLevel &level = refiner->GetLevel(0);
+    const SubdParams *subd_params = mesh->get_subd_params();
+    Transform objecttoworld = subd_params->objecttoworld;
+    Camera *cam = subd_params->camera;
+
+    float longest_edge = 0.0f;
+
+    for (size_t i = 0; i < level.GetNumEdges(); i++) {
+      Far::ConstIndexArray verts = level.GetEdgeVertices(i);
+
+      float3 a = mesh->get_verts()[verts[0]];
+      float3 b = mesh->get_verts()[verts[1]];
+
+      float edge_len;
+
+      if (cam) {
+        a = transform_point(&objecttoworld, a);
+        b = transform_point(&objecttoworld, b);
+
+        edge_len = len(a - b) / cam->world_to_raster_size((a + b) * 0.5f);
+      }
+      else {
+        edge_len = len(a - b);
+      }
+
+      longest_edge = max(longest_edge, edge_len);
+    }
+
+    /* calculate isolation level */
+    int isolation = (int)(log2f(max(longest_edge / subd_params->dicing_rate, 1.0f)) + 1.0f);
+
+    return min(isolation, 10);
+  }
+
+  friend struct OsdPatch;
+  friend class Mesh;
+};
+
+/* ccl::Patch implementation that uses OpenSubdiv for eval */
+
+struct OsdPatch : Patch {
+  OsdData *osd_data;
+
+  OsdPatch()
+  {
+  }
+  OsdPatch(OsdData *data) : osd_data(data)
+  {
+  }
+
+  void eval(float3 *P, float3 *dPdu, float3 *dPdv, float3 *N, float u, float v)
+  {
+    const Far::PatchTable::PatchHandle *handle = osd_data->patch_map->FindPatch(patch_index, u, v);
+    assert(handle);
+
+    float p_weights[20], du_weights[20], dv_weights[20];
+    osd_data->patch_table->EvaluateBasis(*handle, u, v, p_weights, du_weights, dv_weights);
+
+    Far::ConstIndexArray cv = osd_data->patch_table->GetPatchVertices(*handle);
+
+    float3 du, dv;
+    if (P)
+      *P = zero_float3();
+    du = zero_float3();
+    dv = zero_float3();
+
+    for (int i = 0; i < cv.size(); i++) {
+      float3 p = osd_data->verts[cv[i]].value;
+
+      if (P)
+        *P += p * p_weights[i];
+      du += p * du_weights[i];
+      dv += p * dv_weights[i];
+    }
+
+    if (dPdu)
+      *dPdu = du;
+    if (dPdv)
+      *dPdv = dv;
+    if (N) {
+      *N = cross(du, dv);
+
+      float t = len(*N);
+      *N = (t != 0.0f) ? *N / t : make_float3(0.0f, 0.0f, 1.0f);
+    }
+  }
+};
+
+#endif
+
+void Mesh::tessellate(DiagSplit *split)
+{
+  /* reset the number of subdivision vertices, in case the Mesh was not cleared
+   * between calls or data updates */
+  num_subd_verts = 0;
+
+#ifdef WITH_OPENSUBDIV
+  OsdData osd_data;
+  bool need_packed_patch_table = false;
+
+  if (subdivision_type == SUBDIVISION_CATMULL_CLARK) {
+    if (get_num_subd_faces()) {
+      osd_data.build_from_mesh(this);
+    }
+  }
+  else
+#endif
+  {
+    /* force linear subdivision if OpenSubdiv is unavailable to avoid
+     * falling into catmull-clark code paths by accident
+     */
+    subdivision_type = SUBDIVISION_LINEAR;
+
+    /* force disable attribute subdivision for same reason as above */
+    foreach (Attribute &attr, subd_attributes.attributes) {
+      attr.flags &= ~ATTR_SUBDIVIDED;
+    }
+  }
+
+  int num_faces = get_num_subd_faces();
+
+  Attribute *attr_vN = subd_attributes.find(ATTR_STD_VERTEX_NORMAL);
+  float3 *vN = (attr_vN) ? attr_vN->data_float3() : NULL;
+
+  /* count patches */
+  int num_patches = 0;
+  for (int f = 0; f < num_faces; f++) {
+    SubdFace face = get_subd_face(f);
+
+    if (face.is_quad()) {
+      num_patches++;
+    }
+    else {
+      num_patches += face.num_corners;
+    }
+  }
+
+  /* build patches from faces */
+#ifdef WITH_OPENSUBDIV
+  if (subdivision_type == SUBDIVISION_CATMULL_CLARK) {
+    vector<OsdPatch> osd_patches(num_patches, &osd_data);
+    OsdPatch *patch = osd_patches.data();
+
+    for (int f = 0; f < num_faces; f++) {
+      SubdFace face = get_subd_face(f);
+
+      if (face.is_quad()) {
+        patch->patch_index = face.ptex_offset;
+        patch->from_ngon = false;
+        patch->shader = face.shader;
+        patch++;
+      }
+      else {
+        for (int corner = 0; corner < face.num_corners; corner++) {
+          patch->patch_index = face.ptex_offset + corner;
+          patch->from_ngon = true;
+          patch->shader = face.shader;
+          patch++;
+        }
+      }
+    }
+
+    /* split patches */
+    split->split_patches(osd_patches.data(), sizeof(OsdPatch));
+  }
+  else
+#endif
+  {
+    vector<LinearQuadPatch> linear_patches(num_patches);
+    LinearQuadPatch *patch = linear_patches.data();
+
+    for (int f = 0; f < num_faces; f++) {
+      SubdFace face = get_subd_face(f);
+
+      if (face.is_quad()) {
+        float3 *hull = patch->hull;
+        float3 *normals = patch->normals;
+
+        patch->patch_index = face.ptex_offset;
+        patch->from_ngon = false;
+
+        for (int i = 0; i < 4; i++) {
+          hull[i] = verts[subd_face_corners[face.start_corner + i]];
+        }
+
+        if (face.smooth) {
+          for (int i = 0; i < 4; i++) {
+            normals[i] = vN[subd_face_corners[face.start_corner + i]];
+          }
+        }
+        else {
+          float3 N = face.normal(this);
+          for (int i = 0; i < 4; i++) {
+            normals[i] = N;
+          }
+        }
+
+        swap(hull[2], hull[3]);
+        swap(normals[2], normals[3]);
+
+        patch->shader = face.shader;
+        patch++;
+      }
+      else {
+        /* ngon */
+        float3 center_vert = zero_float3();
+        float3 center_normal = zero_float3();
+
+        float inv_num_corners = 1.0f / float(face.num_corners);
+        for (int corner = 0; corner < face.num_corners; corner++) {
+          center_vert += verts[subd_face_corners[face.start_corner + corner]] * inv_num_corners;
+          center_normal += vN[subd_face_corners[face.start_corner + corner]] * inv_num_corners;
+        }
+
+        for (int corner = 0; corner < face.num_corners; corner++) {
+          float3 *hull = patch->hull;
+          float3 *normals = patch->normals;
+
+          patch->patch_index = face.ptex_offset + corner;
+          patch->from_ngon = true;
+
+          patch->shader = face.shader;
+
+          hull[0] =
+              verts[subd_face_corners[face.start_corner + mod(corner + 0, face.num_corners)]];
+          hull[1] =
+              verts[subd_face_corners[face.start_corner + mod(corner + 1, face.num_corners)]];
+          hull[2] =
+              verts[subd_face_corners[face.start_corner + mod(corner - 1, face.num_corners)]];
+          hull[3] = center_vert;
+
+          hull[1] = (hull[1] + hull[0]) * 0.5;
+          hull[2] = (hull[2] + hull[0]) * 0.5;
+
+          if (face.smooth) {
+            normals[0] =
+                vN[subd_face_corners[face.start_corner + mod(corner + 0, face.num_corners)]];
+            normals[1] =
+                vN[subd_face_corners[face.start_corner + mod(corner + 1, face.num_corners)]];
+            normals[2] =
+                vN[subd_face_corners[face.start_corner + mod(corner - 1, face.num_corners)]];
+            normals[3] = center_normal;
+
+            normals[1] = (normals[1] + normals[0]) * 0.5;
+            normals[2] = (normals[2] + normals[0]) * 0.5;
+          }
+          else {
+            float3 N = face.normal(this);
+            for (int i = 0; i < 4; i++) {
+              normals[i] = N;
+            }
+          }
+
+          patch++;
+        }
+      }
+    }
+
+    /* split patches */
+    split->split_patches(linear_patches.data(), sizeof(LinearQuadPatch));
+  }
+
+  /* interpolate center points for attributes */
+  foreach (Attribute &attr, subd_attributes.attributes) {
+#ifdef WITH_OPENSUBDIV
+    if (subdivision_type == SUBDIVISION_CATMULL_CLARK && attr.flags & ATTR_SUBDIVIDED) {
+      if (attr.element == ATTR_ELEMENT_CORNER || attr.element == ATTR_ELEMENT_CORNER_BYTE) {
+        /* keep subdivision for corner attributes disabled for now */
+        attr.flags &= ~ATTR_SUBDIVIDED;
+      }
+      else if (get_num_subd_faces()) {
+        osd_data.subdivide_attribute(attr);
+
+        need_packed_patch_table = true;
+        continue;
+      }
+    }
+#endif
+
+    char *data = attr.data();
+    size_t stride = attr.data_sizeof();
+    int ngons = 0;
+
+    switch (attr.element) {
+      case ATTR_ELEMENT_VERTEX: {
+        for (int f = 0; f < num_faces; f++) {
+          SubdFace face = get_subd_face(f);
+
+          if (!face.is_quad()) {
+            char *center = data + (verts.size() - num_subd_verts + ngons) * stride;
+            attr.zero_data(center);
+
+            float inv_num_corners = 1.0f / float(face.num_corners);
+
+            for (int corner = 0; corner < face.num_corners; corner++) {
+              attr.add_with_weight(center,
+                                   data + subd_face_corners[face.start_corner + corner] * stride,
+                                   inv_num_corners);
+            }
+
+            ngons++;
+          }
+        }
+      } break;
+      case ATTR_ELEMENT_VERTEX_MOTION: {
+        // TODO(mai): implement
+      } break;
+      case ATTR_ELEMENT_CORNER: {
+        for (int f = 0; f < num_faces; f++) {
+          SubdFace face = get_subd_face(f);
+
+          if (!face.is_quad()) {
+            char *center = data + (subd_face_corners.size() + ngons) * stride;
+            attr.zero_data(center);
+
+            float inv_num_corners = 1.0f / float(face.num_corners);
+
+            for (int corner = 0; corner < face.num_corners; corner++) {
+              attr.add_with_weight(
+                  center, data + (face.start_corner + corner) * stride, inv_num_corners);
+            }
+
+            ngons++;
+          }
+        }
+      } break;
+      case ATTR_ELEMENT_CORNER_BYTE: {
+        for (int f = 0; f < num_faces; f++) {
+          SubdFace face = get_subd_face(f);
+
+          if (!face.is_quad()) {
+            uchar *center = (uchar *)data + (subd_face_corners.size() + ngons) * stride;
+
+            float inv_num_corners = 1.0f / float(face.num_corners);
+            float4 val = zero_float4();
+
+            for (int corner = 0; corner < face.num_corners; corner++) {
+              for (int i = 0; i < 4; i++) {
+                val[i] += float(*(data + (face.start_corner + corner) * stride + i)) *
+                          inv_num_corners;
+              }
+            }
+
+            for (int i = 0; i < 4; i++) {
+              center[i] = uchar(min(max(val[i], 0.0f), 255.0f));
+            }
+
+            ngons++;
+          }
+        }
+      } break;
+      default:
+        break;
+    }
+  }
+
+#ifdef WITH_OPENSUBDIV
+  /* pack patch tables */
+  if (need_packed_patch_table) {
+    delete patch_table;
+    patch_table = new PackedPatchTable;
+    patch_table->pack(osd_data.patch_table);
+  }
+#endif
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/object.cpp b/intern/cycles/scene/object.cpp
new file mode 100644
index 00000000000..8b0cc752049
--- /dev/null
+++ b/intern/cycles/scene/object.cpp
@@ -0,0 +1,984 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/object.h"
+#include "device/device.h"
+#include "scene/camera.h"
+#include "scene/curves.h"
+#include "scene/hair.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/particles.h"
+#include "scene/scene.h"
+#include "scene/stats.h"
+#include "scene/volume.h"
+
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_map.h"
+#include "util/util_murmurhash.h"
+#include "util/util_progress.h"
+#include "util/util_set.h"
+#include "util/util_task.h"
+#include "util/util_vector.h"
+
+#include "subd/subd_patch_table.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Global state of object transform update. */
+
+struct UpdateObjectTransformState {
+  /* Global state used by device_update_object_transform().
+   * Common for both threaded and non-threaded update.
+   */
+
+  /* Type of the motion required by the scene settings. */
+  Scene::MotionType need_motion;
+
+  /* Mapping from particle system to a index in packed particle array.
+   * Only used for read.
+   */
+  map<ParticleSystem *, int> particle_offset;
+
+  /* Motion offsets for each object. */
+  array<uint> motion_offset;
+
+  /* Packed object arrays. Those will be filled in. */
+  uint *object_flag;
+  uint *object_visibility;
+  KernelObject *objects;
+  Transform *object_motion_pass;
+  DecomposedTransform *object_motion;
+  float *object_volume_step;
+
+  /* Flags which will be synchronized to Integrator. */
+  bool have_motion;
+  bool have_curves;
+
+  /* ** Scheduling queue. ** */
+  Scene *scene;
+
+  /* First unused object index in the queue. */
+  int queue_start_object;
+};
+
+/* Object */
+
+NODE_DEFINE(Object)
+{
+  NodeType *type = NodeType::add("object", create);
+
+  SOCKET_NODE(geometry, "Geometry", Geometry::get_node_base_type());
+  SOCKET_TRANSFORM(tfm, "Transform", transform_identity());
+  SOCKET_UINT(visibility, "Visibility", ~0);
+  SOCKET_COLOR(color, "Color", zero_float3());
+  SOCKET_UINT(random_id, "Random ID", 0);
+  SOCKET_INT(pass_id, "Pass ID", 0);
+  SOCKET_BOOLEAN(use_holdout, "Use Holdout", false);
+  SOCKET_BOOLEAN(hide_on_missing_motion, "Hide on Missing Motion", false);
+  SOCKET_POINT(dupli_generated, "Dupli Generated", zero_float3());
+  SOCKET_POINT2(dupli_uv, "Dupli UV", zero_float2());
+  SOCKET_TRANSFORM_ARRAY(motion, "Motion", array<Transform>());
+  SOCKET_FLOAT(shadow_terminator_shading_offset, "Shadow Terminator Shading Offset", 0.0f);
+  SOCKET_FLOAT(shadow_terminator_geometry_offset, "Shadow Terminator Geometry Offset", 0.1f);
+  SOCKET_STRING(asset_name, "Asset Name", ustring());
+
+  SOCKET_BOOLEAN(is_shadow_catcher, "Shadow Catcher", false);
+
+  SOCKET_NODE(particle_system, "Particle System", ParticleSystem::get_node_type());
+  SOCKET_INT(particle_index, "Particle Index", 0);
+
+  SOCKET_FLOAT(ao_distance, "AO Distance", 0.0f);
+
+  return type;
+}
+
+Object::Object() : Node(get_node_type())
+{
+  particle_system = NULL;
+  particle_index = 0;
+  attr_map_offset = 0;
+  bounds = BoundBox::empty;
+  intersects_volume = false;
+}
+
+Object::~Object()
+{
+}
+
+void Object::update_motion()
+{
+  if (!use_motion()) {
+    return;
+  }
+
+  bool have_motion = false;
+
+  for (size_t i = 0; i < motion.size(); i++) {
+    if (motion[i] == transform_empty()) {
+      if (hide_on_missing_motion) {
+        /* Hide objects that have no valid previous or next
+         * transform, for example particle that stop existing. It
+         * would be better to handle this in the kernel and make
+         * objects invisible outside certain motion steps. */
+        tfm = transform_empty();
+        motion.clear();
+        return;
+      }
+      else {
+        /* Otherwise just copy center motion. */
+        motion[i] = tfm;
+      }
+    }
+
+    /* Test if any of the transforms are actually different. */
+    have_motion = have_motion || motion[i] != tfm;
+  }
+
+  /* Clear motion array if there is no actual motion. */
+  if (!have_motion) {
+    motion.clear();
+  }
+}
+
+void Object::compute_bounds(bool motion_blur)
+{
+  BoundBox mbounds = geometry->bounds;
+
+  if (motion_blur && use_motion()) {
+    array<DecomposedTransform> decomp(motion.size());
+    transform_motion_decompose(decomp.data(), motion.data(), motion.size());
+
+    bounds = BoundBox::empty;
+
+    /* TODO: this is really terrible. according to PBRT there is a better
+     * way to find this iteratively, but did not find implementation yet
+     * or try to implement myself */
+    for (float t = 0.0f; t < 1.0f; t += (1.0f / 128.0f)) {
+      Transform ttfm;
+
+      transform_motion_array_interpolate(&ttfm, decomp.data(), motion.size(), t);
+      bounds.grow(mbounds.transformed(&ttfm));
+    }
+  }
+  else {
+    /* No motion blur case. */
+    if (geometry->transform_applied) {
+      bounds = mbounds;
+    }
+    else {
+      bounds = mbounds.transformed(&tfm);
+    }
+  }
+}
+
+void Object::apply_transform(bool apply_to_motion)
+{
+  if (!geometry || tfm == transform_identity())
+    return;
+
+  geometry->apply_transform(tfm, apply_to_motion);
+
+  /* we keep normals pointing in same direction on negative scale, notify
+   * geometry about this in it (re)calculates normals */
+  if (transform_negative_scale(tfm))
+    geometry->transform_negative_scaled = true;
+
+  if (bounds.valid()) {
+    geometry->compute_bounds();
+    compute_bounds(false);
+  }
+
+  /* tfm is not reset to identity, all code that uses it needs to check the
+   * transform_applied boolean */
+}
+
+void Object::tag_update(Scene *scene)
+{
+  uint32_t flag = ObjectManager::UPDATE_NONE;
+
+  if (is_modified()) {
+    flag |= ObjectManager::OBJECT_MODIFIED;
+
+    if (use_holdout_is_modified()) {
+      flag |= ObjectManager::HOLDOUT_MODIFIED;
+    }
+
+    if (is_shadow_catcher_is_modified()) {
+      scene->tag_shadow_catcher_modified();
+    }
+  }
+
+  if (geometry) {
+    if (tfm_is_modified()) {
+      flag |= ObjectManager::TRANSFORM_MODIFIED;
+    }
+
+    if (visibility_is_modified()) {
+      flag |= ObjectManager::VISIBILITY_MODIFIED;
+    }
+
+    foreach (Node *node, geometry->get_used_shaders()) {
+      Shader *shader = static_cast<Shader *>(node);
+      if (shader->get_use_mis() && shader->has_surface_emission)
+        scene->light_manager->tag_update(scene, LightManager::EMISSIVE_MESH_MODIFIED);
+    }
+  }
+
+  scene->camera->need_flags_update = true;
+  scene->object_manager->tag_update(scene, flag);
+}
+
+bool Object::use_motion() const
+{
+  return (motion.size() > 1);
+}
+
+float Object::motion_time(int step) const
+{
+  return (use_motion()) ? 2.0f * step / (motion.size() - 1) - 1.0f : 0.0f;
+}
+
+int Object::motion_step(float time) const
+{
+  if (use_motion()) {
+    for (size_t step = 0; step < motion.size(); step++) {
+      if (time == motion_time(step)) {
+        return step;
+      }
+    }
+  }
+
+  return -1;
+}
+
+bool Object::is_traceable() const
+{
+  /* Mesh itself can be empty,can skip all such objects. */
+  if (!bounds.valid() || bounds.size() == zero_float3()) {
+    return false;
+  }
+  /* TODO(sergey): Check for mesh vertices/curves. visibility flags. */
+  return true;
+}
+
+uint Object::visibility_for_tracing() const
+{
+  return SHADOW_CATCHER_OBJECT_VISIBILITY(is_shadow_catcher, visibility & PATH_RAY_ALL_VISIBILITY);
+}
+
+float Object::compute_volume_step_size() const
+{
+  if (geometry->geometry_type != Geometry::MESH && geometry->geometry_type != Geometry::VOLUME) {
+    return FLT_MAX;
+  }
+
+  Mesh *mesh = static_cast<Mesh *>(geometry);
+
+  if (!mesh->has_volume) {
+    return FLT_MAX;
+  }
+
+  /* Compute step rate from shaders. */
+  float step_rate = FLT_MAX;
+
+  foreach (Node *node, mesh->get_used_shaders()) {
+    Shader *shader = static_cast<Shader *>(node);
+    if (shader->has_volume) {
+      if ((shader->get_heterogeneous_volume() && shader->has_volume_spatial_varying) ||
+          (shader->has_volume_attribute_dependency)) {
+        step_rate = fminf(shader->get_volume_step_rate(), step_rate);
+      }
+    }
+  }
+
+  if (step_rate == FLT_MAX) {
+    return FLT_MAX;
+  }
+
+  /* Compute step size from voxel grids. */
+  float step_size = FLT_MAX;
+
+  if (geometry->geometry_type == Geometry::VOLUME) {
+    Volume *volume = static_cast<Volume *>(geometry);
+
+    foreach (Attribute &attr, volume->attributes.attributes) {
+      if (attr.element == ATTR_ELEMENT_VOXEL) {
+        ImageHandle &handle = attr.data_voxel();
+        const ImageMetaData &metadata = handle.metadata();
+        if (metadata.width == 0 || metadata.height == 0 || metadata.depth == 0) {
+          continue;
+        }
+
+        /* User specified step size. */
+        float voxel_step_size = volume->get_step_size();
+
+        if (voxel_step_size == 0.0f) {
+          /* Auto detect step size. */
+          float3 size = one_float3();
+#ifdef WITH_NANOVDB
+          /* Dimensions were not applied to image transform with NanOVDB (see image_vdb.cpp) */
+          if (metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT &&
+              metadata.type != IMAGE_DATA_TYPE_NANOVDB_FLOAT3)
+#endif
+            size /= make_float3(metadata.width, metadata.height, metadata.depth);
+
+          /* Step size is transformed from voxel to world space. */
+          Transform voxel_tfm = tfm;
+          if (metadata.use_transform_3d) {
+            voxel_tfm = tfm * transform_inverse(metadata.transform_3d);
+          }
+          voxel_step_size = min3(fabs(transform_direction(&voxel_tfm, size)));
+        }
+        else if (volume->get_object_space()) {
+          /* User specified step size in object space. */
+          float3 size = make_float3(voxel_step_size, voxel_step_size, voxel_step_size);
+          voxel_step_size = min3(fabs(transform_direction(&tfm, size)));
+        }
+
+        if (voxel_step_size > 0.0f) {
+          step_size = fminf(voxel_step_size, step_size);
+        }
+      }
+    }
+  }
+
+  if (step_size == FLT_MAX) {
+    /* Fall back to 1/10th of bounds for procedural volumes. */
+    step_size = 0.1f * average(bounds.size());
+  }
+
+  step_size *= step_rate;
+
+  return step_size;
+}
+
+int Object::get_device_index() const
+{
+  return index;
+}
+
+/* Object Manager */
+
+ObjectManager::ObjectManager()
+{
+  update_flags = UPDATE_ALL;
+  need_flags_update = true;
+}
+
+ObjectManager::~ObjectManager()
+{
+}
+
+static float object_volume_density(const Transform &tfm, Geometry *geom)
+{
+  if (geom->geometry_type == Geometry::VOLUME) {
+    /* Volume density automatically adjust to object scale. */
+    if (static_cast<Volume *>(geom)->get_object_space()) {
+      const float3 unit = normalize(one_float3());
+      return 1.0f / len(transform_direction(&tfm, unit));
+    }
+  }
+
+  return 1.0f;
+}
+
+void ObjectManager::device_update_object_transform(UpdateObjectTransformState *state,
+                                                   Object *ob,
+                                                   bool update_all)
+{
+  KernelObject &kobject = state->objects[ob->index];
+  Transform *object_motion_pass = state->object_motion_pass;
+
+  Geometry *geom = ob->geometry;
+  uint flag = 0;
+
+  /* Compute transformations. */
+  Transform tfm = ob->tfm;
+  Transform itfm = transform_inverse(tfm);
+
+  float3 color = ob->color;
+  float pass_id = ob->pass_id;
+  float random_number = (float)ob->random_id * (1.0f / (float)0xFFFFFFFF);
+  int particle_index = (ob->particle_system) ?
+                           ob->particle_index + state->particle_offset[ob->particle_system] :
+                           0;
+
+  kobject.tfm = tfm;
+  kobject.itfm = itfm;
+  kobject.volume_density = object_volume_density(tfm, geom);
+  kobject.color[0] = color.x;
+  kobject.color[1] = color.y;
+  kobject.color[2] = color.z;
+  kobject.pass_id = pass_id;
+  kobject.random_number = random_number;
+  kobject.particle_index = particle_index;
+  kobject.motion_offset = 0;
+  kobject.ao_distance = ob->ao_distance;
+
+  if (geom->get_use_motion_blur()) {
+    state->have_motion = true;
+  }
+
+  if (geom->geometry_type == Geometry::MESH) {
+    /* TODO: why only mesh? */
+    Mesh *mesh = static_cast<Mesh *>(geom);
+    if (mesh->attributes.find(ATTR_STD_MOTION_VERTEX_POSITION)) {
+      flag |= SD_OBJECT_HAS_VERTEX_MOTION;
+    }
+  }
+
+  if (state->need_motion == Scene::MOTION_PASS) {
+    /* Clear motion array if there is no actual motion. */
+    ob->update_motion();
+
+    /* Compute motion transforms. */
+    Transform tfm_pre, tfm_post;
+    if (ob->use_motion()) {
+      tfm_pre = ob->motion[0];
+      tfm_post = ob->motion[ob->motion.size() - 1];
+    }
+    else {
+      tfm_pre = tfm;
+      tfm_post = tfm;
+    }
+
+    /* Motion transformations, is world/object space depending if mesh
+     * comes with deformed position in object space, or if we transform
+     * the shading point in world space. */
+    if (!(flag & SD_OBJECT_HAS_VERTEX_MOTION)) {
+      tfm_pre = tfm_pre * itfm;
+      tfm_post = tfm_post * itfm;
+    }
+
+    int motion_pass_offset = ob->index * OBJECT_MOTION_PASS_SIZE;
+    object_motion_pass[motion_pass_offset + 0] = tfm_pre;
+    object_motion_pass[motion_pass_offset + 1] = tfm_post;
+  }
+  else if (state->need_motion == Scene::MOTION_BLUR) {
+    if (ob->use_motion()) {
+      kobject.motion_offset = state->motion_offset[ob->index];
+
+      /* Decompose transforms for interpolation. */
+      if (ob->tfm_is_modified() || update_all) {
+        DecomposedTransform *decomp = state->object_motion + kobject.motion_offset;
+        transform_motion_decompose(decomp, ob->motion.data(), ob->motion.size());
+      }
+
+      flag |= SD_OBJECT_MOTION;
+      state->have_motion = true;
+    }
+  }
+
+  /* Dupli object coords and motion info. */
+  kobject.dupli_generated[0] = ob->dupli_generated[0];
+  kobject.dupli_generated[1] = ob->dupli_generated[1];
+  kobject.dupli_generated[2] = ob->dupli_generated[2];
+  kobject.numkeys = (geom->geometry_type == Geometry::HAIR) ?
+                        static_cast<Hair *>(geom)->get_curve_keys().size() :
+                        0;
+  kobject.dupli_uv[0] = ob->dupli_uv[0];
+  kobject.dupli_uv[1] = ob->dupli_uv[1];
+  int totalsteps = geom->get_motion_steps();
+  kobject.numsteps = (totalsteps - 1) / 2;
+  kobject.numverts = (geom->geometry_type == Geometry::MESH ||
+                      geom->geometry_type == Geometry::VOLUME) ?
+                         static_cast<Mesh *>(geom)->get_verts().size() :
+                         0;
+  kobject.patch_map_offset = 0;
+  kobject.attribute_map_offset = 0;
+
+  if (ob->asset_name_is_modified() || update_all) {
+    uint32_t hash_name = util_murmur_hash3(ob->name.c_str(), ob->name.length(), 0);
+    uint32_t hash_asset = util_murmur_hash3(ob->asset_name.c_str(), ob->asset_name.length(), 0);
+    kobject.cryptomatte_object = util_hash_to_float(hash_name);
+    kobject.cryptomatte_asset = util_hash_to_float(hash_asset);
+  }
+
+  kobject.shadow_terminator_shading_offset = 1.0f /
+                                             (1.0f - 0.5f * ob->shadow_terminator_shading_offset);
+  kobject.shadow_terminator_geometry_offset = ob->shadow_terminator_geometry_offset;
+
+  kobject.visibility = ob->visibility_for_tracing();
+  kobject.primitive_type = geom->primitive_type();
+
+  /* Object flag. */
+  if (ob->use_holdout) {
+    flag |= SD_OBJECT_HOLDOUT_MASK;
+  }
+  state->object_flag[ob->index] = flag;
+  state->object_volume_step[ob->index] = FLT_MAX;
+
+  /* Have curves. */
+  if (geom->geometry_type == Geometry::HAIR) {
+    state->have_curves = true;
+  }
+}
+
+void ObjectManager::device_update_transforms(DeviceScene *dscene, Scene *scene, Progress &progress)
+{
+  UpdateObjectTransformState state;
+  state.need_motion = scene->need_motion();
+  state.have_motion = false;
+  state.have_curves = false;
+  state.scene = scene;
+  state.queue_start_object = 0;
+
+  state.objects = dscene->objects.alloc(scene->objects.size());
+  state.object_flag = dscene->object_flag.alloc(scene->objects.size());
+  state.object_volume_step = dscene->object_volume_step.alloc(scene->objects.size());
+  state.object_motion = NULL;
+  state.object_motion_pass = NULL;
+
+  if (state.need_motion == Scene::MOTION_PASS) {
+    state.object_motion_pass = dscene->object_motion_pass.alloc(OBJECT_MOTION_PASS_SIZE *
+                                                                scene->objects.size());
+  }
+  else if (state.need_motion == Scene::MOTION_BLUR) {
+    /* Set object offsets into global object motion array. */
+    uint *motion_offsets = state.motion_offset.resize(scene->objects.size());
+    uint motion_offset = 0;
+
+    foreach (Object *ob, scene->objects) {
+      *motion_offsets = motion_offset;
+      motion_offsets++;
+
+      /* Clear motion array if there is no actual motion. */
+      ob->update_motion();
+      motion_offset += ob->motion.size();
+    }
+
+    state.object_motion = dscene->object_motion.alloc(motion_offset);
+  }
+
+  /* Particle system device offsets
+   * 0 is dummy particle, index starts at 1.
+   */
+  int numparticles = 1;
+  foreach (ParticleSystem *psys, scene->particle_systems) {
+    state.particle_offset[psys] = numparticles;
+    numparticles += psys->particles.size();
+  }
+
+  /* as all the arrays are the same size, checking only dscene.objects is sufficient */
+  const bool update_all = dscene->objects.need_realloc();
+
+  /* Parallel object update, with grain size to avoid too much threading overhead
+   * for individual objects. */
+  static const int OBJECTS_PER_TASK = 32;
+  parallel_for(blocked_range<size_t>(0, scene->objects.size(), OBJECTS_PER_TASK),
+               [&](const blocked_range<size_t> &r) {
+                 for (size_t i = r.begin(); i != r.end(); i++) {
+                   Object *ob = state.scene->objects[i];
+                   device_update_object_transform(&state, ob, update_all);
+                 }
+               });
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  dscene->objects.copy_to_device_if_modified();
+  if (state.need_motion == Scene::MOTION_PASS) {
+    dscene->object_motion_pass.copy_to_device();
+  }
+  else if (state.need_motion == Scene::MOTION_BLUR) {
+    dscene->object_motion.copy_to_device();
+  }
+
+  dscene->data.bvh.have_motion = state.have_motion;
+  dscene->data.bvh.have_curves = state.have_curves;
+
+  dscene->objects.clear_modified();
+  dscene->object_motion_pass.clear_modified();
+  dscene->object_motion.clear_modified();
+}
+
+void ObjectManager::device_update(Device *device,
+                                  DeviceScene *dscene,
+                                  Scene *scene,
+                                  Progress &progress)
+{
+  if (!need_update())
+    return;
+
+  if (update_flags & (OBJECT_ADDED | OBJECT_REMOVED)) {
+    dscene->objects.tag_realloc();
+    dscene->object_motion_pass.tag_realloc();
+    dscene->object_motion.tag_realloc();
+    dscene->object_flag.tag_realloc();
+    dscene->object_volume_step.tag_realloc();
+  }
+
+  if (update_flags & HOLDOUT_MODIFIED) {
+    dscene->object_flag.tag_modified();
+  }
+
+  if (update_flags & PARTICLE_MODIFIED) {
+    dscene->objects.tag_modified();
+  }
+
+  VLOG(1) << "Total " << scene->objects.size() << " objects.";
+
+  device_free(device, dscene, false);
+
+  if (scene->objects.size() == 0)
+    return;
+
+  {
+    /* Assign object IDs. */
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->object.times.add_entry({"device_update (assign index)", time});
+      }
+    });
+
+    int index = 0;
+    foreach (Object *object, scene->objects) {
+      object->index = index++;
+
+      /* this is a bit too broad, however a bigger refactor might be needed to properly separate
+       * update each type of data (transform, flags, etc.) */
+      if (object->is_modified()) {
+        dscene->objects.tag_modified();
+        dscene->object_motion_pass.tag_modified();
+        dscene->object_motion.tag_modified();
+        dscene->object_flag.tag_modified();
+        dscene->object_volume_step.tag_modified();
+      }
+    }
+  }
+
+  {
+    /* set object transform matrices, before applying static transforms */
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->object.times.add_entry(
+            {"device_update (copy objects to device)", time});
+      }
+    });
+
+    progress.set_status("Updating Objects", "Copying Transformations to device");
+    device_update_transforms(dscene, scene, progress);
+  }
+
+  if (progress.get_cancel())
+    return;
+
+  /* prepare for static BVH building */
+  /* todo: do before to support getting object level coords? */
+  if (scene->params.bvh_type == BVH_TYPE_STATIC) {
+    scoped_callback_timer timer([scene](double time) {
+      if (scene->update_stats) {
+        scene->update_stats->object.times.add_entry(
+            {"device_update (apply static transforms)", time});
+      }
+    });
+
+    progress.set_status("Updating Objects", "Applying Static Transformations");
+    apply_static_transforms(dscene, scene, progress);
+  }
+
+  foreach (Object *object, scene->objects) {
+    object->clear_modified();
+  }
+}
+
+void ObjectManager::device_update_flags(
+    Device *, DeviceScene *dscene, Scene *scene, Progress & /*progress*/, bool bounds_valid)
+{
+  if (!need_update() && !need_flags_update)
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->object.times.add_entry({"device_update_flags", time});
+    }
+  });
+
+  update_flags = UPDATE_NONE;
+  need_flags_update = false;
+
+  if (scene->objects.size() == 0)
+    return;
+
+  /* Object info flag. */
+  uint *object_flag = dscene->object_flag.data();
+  float *object_volume_step = dscene->object_volume_step.data();
+
+  /* Object volume intersection. */
+  vector<Object *> volume_objects;
+  bool has_volume_objects = false;
+  foreach (Object *object, scene->objects) {
+    if (object->geometry->has_volume) {
+      if (bounds_valid) {
+        volume_objects.push_back(object);
+      }
+      has_volume_objects = true;
+      object_volume_step[object->index] = object->compute_volume_step_size();
+    }
+    else {
+      object_volume_step[object->index] = FLT_MAX;
+    }
+  }
+
+  foreach (Object *object, scene->objects) {
+    if (object->geometry->has_volume) {
+      object_flag[object->index] |= SD_OBJECT_HAS_VOLUME;
+      object_flag[object->index] &= ~SD_OBJECT_HAS_VOLUME_ATTRIBUTES;
+
+      foreach (Attribute &attr, object->geometry->attributes.attributes) {
+        if (attr.element == ATTR_ELEMENT_VOXEL) {
+          object_flag[object->index] |= SD_OBJECT_HAS_VOLUME_ATTRIBUTES;
+        }
+      }
+    }
+    else {
+      object_flag[object->index] &= ~(SD_OBJECT_HAS_VOLUME | SD_OBJECT_HAS_VOLUME_ATTRIBUTES);
+    }
+
+    if (object->is_shadow_catcher) {
+      object_flag[object->index] |= SD_OBJECT_SHADOW_CATCHER;
+    }
+    else {
+      object_flag[object->index] &= ~SD_OBJECT_SHADOW_CATCHER;
+    }
+
+    if (bounds_valid) {
+      object->intersects_volume = false;
+      foreach (Object *volume_object, volume_objects) {
+        if (object == volume_object) {
+          continue;
+        }
+        if (object->bounds.intersects(volume_object->bounds)) {
+          object_flag[object->index] |= SD_OBJECT_INTERSECTS_VOLUME;
+          object->intersects_volume = true;
+          break;
+        }
+      }
+    }
+    else if (has_volume_objects) {
+      /* Not really valid, but can't make more reliable in the case
+       * of bounds not being up to date.
+       */
+      object_flag[object->index] |= SD_OBJECT_INTERSECTS_VOLUME;
+    }
+  }
+
+  /* Copy object flag. */
+  dscene->object_flag.copy_to_device();
+  dscene->object_volume_step.copy_to_device();
+
+  dscene->object_flag.clear_modified();
+  dscene->object_volume_step.clear_modified();
+}
+
+void ObjectManager::device_update_mesh_offsets(Device *, DeviceScene *dscene, Scene *scene)
+{
+  if (dscene->objects.size() == 0) {
+    return;
+  }
+
+  KernelObject *kobjects = dscene->objects.data();
+
+  bool update = false;
+
+  foreach (Object *object, scene->objects) {
+    Geometry *geom = object->geometry;
+
+    if (geom->geometry_type == Geometry::MESH) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+      if (mesh->patch_table) {
+        uint patch_map_offset = 2 * (mesh->patch_table_offset + mesh->patch_table->total_size() -
+                                     mesh->patch_table->num_nodes * PATCH_NODE_SIZE) -
+                                mesh->patch_offset;
+
+        if (kobjects[object->index].patch_map_offset != patch_map_offset) {
+          kobjects[object->index].patch_map_offset = patch_map_offset;
+          update = true;
+        }
+      }
+    }
+
+    size_t attr_map_offset = object->attr_map_offset;
+
+    /* An object attribute map cannot have a zero offset because mesh maps come first. */
+    if (attr_map_offset == 0) {
+      attr_map_offset = geom->attr_map_offset;
+    }
+
+    if (kobjects[object->index].attribute_map_offset != attr_map_offset) {
+      kobjects[object->index].attribute_map_offset = attr_map_offset;
+      update = true;
+    }
+  }
+
+  if (update) {
+    dscene->objects.copy_to_device();
+  }
+}
+
+void ObjectManager::device_free(Device *, DeviceScene *dscene, bool force_free)
+{
+  dscene->objects.free_if_need_realloc(force_free);
+  dscene->object_motion_pass.free_if_need_realloc(force_free);
+  dscene->object_motion.free_if_need_realloc(force_free);
+  dscene->object_flag.free_if_need_realloc(force_free);
+  dscene->object_volume_step.free_if_need_realloc(force_free);
+}
+
+void ObjectManager::apply_static_transforms(DeviceScene *dscene, Scene *scene, Progress &progress)
+{
+  /* todo: normals and displacement should be done before applying transform! */
+  /* todo: create objects/geometry in right order! */
+
+  /* counter geometry users */
+  map<Geometry *, int> geometry_users;
+  Scene::MotionType need_motion = scene->need_motion();
+  bool motion_blur = need_motion == Scene::MOTION_BLUR;
+  bool apply_to_motion = need_motion != Scene::MOTION_PASS;
+  int i = 0;
+
+  foreach (Object *object, scene->objects) {
+    map<Geometry *, int>::iterator it = geometry_users.find(object->geometry);
+
+    if (it == geometry_users.end())
+      geometry_users[object->geometry] = 1;
+    else
+      it->second++;
+  }
+
+  if (progress.get_cancel())
+    return;
+
+  uint *object_flag = dscene->object_flag.data();
+
+  /* apply transforms for objects with single user geometry */
+  foreach (Object *object, scene->objects) {
+    /* Annoying feedback loop here: we can't use is_instanced() because
+     * it'll use uninitialized transform_applied flag.
+     *
+     * Could be solved by moving reference counter to Geometry.
+     */
+    Geometry *geom = object->geometry;
+    bool apply = (geometry_users[geom] == 1) && !geom->has_surface_bssrdf &&
+                 !geom->has_true_displacement();
+
+    if (geom->geometry_type == Geometry::MESH) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+      apply = apply && mesh->get_subdivision_type() == Mesh::SUBDIVISION_NONE;
+    }
+    else if (geom->geometry_type == Geometry::HAIR) {
+      /* Can't apply non-uniform scale to curves, this can't be represented by
+       * control points and radius alone. */
+      float scale;
+      apply = apply && transform_uniform_scale(object->tfm, scale);
+    }
+
+    if (apply) {
+      if (!(motion_blur && object->use_motion())) {
+        if (!geom->transform_applied) {
+          object->apply_transform(apply_to_motion);
+          geom->transform_applied = true;
+
+          if (progress.get_cancel())
+            return;
+        }
+
+        object_flag[i] |= SD_OBJECT_TRANSFORM_APPLIED;
+        if (geom->transform_negative_scaled)
+          object_flag[i] |= SD_OBJECT_NEGATIVE_SCALE_APPLIED;
+      }
+    }
+
+    i++;
+  }
+}
+
+void ObjectManager::tag_update(Scene *scene, uint32_t flag)
+{
+  update_flags |= flag;
+
+  /* avoid infinite loops if the geometry manager tagged us for an update */
+  if ((flag & GEOMETRY_MANAGER) == 0) {
+    uint32_t geometry_flag = GeometryManager::OBJECT_MANAGER;
+
+    /* Also notify in case added or removed objects were instances, as no Geometry might have been
+     * added or removed, but the BVH still needs to updated. */
+    if ((flag & (OBJECT_ADDED | OBJECT_REMOVED)) != 0) {
+      geometry_flag |= (GeometryManager::GEOMETRY_ADDED | GeometryManager::GEOMETRY_REMOVED);
+    }
+
+    if ((flag & TRANSFORM_MODIFIED) != 0) {
+      geometry_flag |= GeometryManager::TRANSFORM_MODIFIED;
+    }
+
+    if ((flag & VISIBILITY_MODIFIED) != 0) {
+      geometry_flag |= GeometryManager::VISIBILITY_MODIFIED;
+    }
+
+    scene->geometry_manager->tag_update(scene, geometry_flag);
+  }
+
+  scene->light_manager->tag_update(scene, LightManager::OBJECT_MANAGER);
+
+  /* Integrator's shadow catcher settings depends on object visibility settings. */
+  if (flag & (OBJECT_ADDED | OBJECT_REMOVED | OBJECT_MODIFIED)) {
+    scene->integrator->tag_update(scene, Integrator::OBJECT_MANAGER);
+  }
+}
+
+bool ObjectManager::need_update() const
+{
+  return update_flags != UPDATE_NONE;
+}
+
+string ObjectManager::get_cryptomatte_objects(Scene *scene)
+{
+  string manifest = "{";
+
+  unordered_set<ustring, ustringHash> objects;
+  foreach (Object *object, scene->objects) {
+    if (objects.count(object->name)) {
+      continue;
+    }
+    objects.insert(object->name);
+    uint32_t hash_name = util_murmur_hash3(object->name.c_str(), object->name.length(), 0);
+    manifest += string_printf("\"%s\":\"%08x\",", object->name.c_str(), hash_name);
+  }
+  manifest[manifest.size() - 1] = '}';
+  return manifest;
+}
+
+string ObjectManager::get_cryptomatte_assets(Scene *scene)
+{
+  string manifest = "{";
+  unordered_set<ustring, ustringHash> assets;
+  foreach (Object *ob, scene->objects) {
+    if (assets.count(ob->asset_name)) {
+      continue;
+    }
+    assets.insert(ob->asset_name);
+    uint32_t hash_asset = util_murmur_hash3(ob->asset_name.c_str(), ob->asset_name.length(), 0);
+    manifest += string_printf("\"%s\":\"%08x\",", ob->asset_name.c_str(), hash_asset);
+  }
+  manifest[manifest.size() - 1] = '}';
+  return manifest;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/object.h b/intern/cycles/scene/object.h
new file mode 100644
index 00000000000..d3909bb2b03
--- /dev/null
+++ b/intern/cycles/scene/object.h
@@ -0,0 +1,189 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __OBJECT_H__
+#define __OBJECT_H__
+
+#include "graph/node.h"
+
+/* included as Object::set_particle_system defined through NODE_SOCKET_API does
+ * not select the right Node::set overload as it does not know that ParticleSystem
+ * is a Node */
+#include "scene/particles.h"
+#include "scene/scene.h"
+
+#include "util/util_array.h"
+#include "util/util_boundbox.h"
+#include "util/util_param.h"
+#include "util/util_thread.h"
+#include "util/util_transform.h"
+#include "util/util_types.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Geometry;
+class ParticleSystem;
+class Progress;
+class Scene;
+struct Transform;
+struct UpdateObjectTransformState;
+class ObjectManager;
+
+/* Object */
+
+class Object : public Node {
+ public:
+  NODE_DECLARE
+
+  NODE_SOCKET_API(Geometry *, geometry)
+  NODE_SOCKET_API(Transform, tfm)
+  BoundBox bounds;
+  NODE_SOCKET_API(uint, random_id)
+  NODE_SOCKET_API(int, pass_id)
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(ustring, asset_name)
+  vector<ParamValue> attributes;
+  NODE_SOCKET_API(uint, visibility)
+  NODE_SOCKET_API_ARRAY(array<Transform>, motion)
+  NODE_SOCKET_API(bool, hide_on_missing_motion)
+  NODE_SOCKET_API(bool, use_holdout)
+  NODE_SOCKET_API(bool, is_shadow_catcher)
+  NODE_SOCKET_API(float, shadow_terminator_shading_offset)
+  NODE_SOCKET_API(float, shadow_terminator_geometry_offset)
+
+  NODE_SOCKET_API(float3, dupli_generated)
+  NODE_SOCKET_API(float2, dupli_uv)
+
+  NODE_SOCKET_API(ParticleSystem *, particle_system);
+  NODE_SOCKET_API(int, particle_index);
+
+  NODE_SOCKET_API(float, ao_distance)
+
+  /* Set during device update. */
+  bool intersects_volume;
+
+  Object();
+  ~Object();
+
+  void tag_update(Scene *scene);
+
+  void compute_bounds(bool motion_blur);
+  void apply_transform(bool apply_to_motion);
+
+  /* Convert between normalized -1..1 motion time and index
+   * in the motion array. */
+  bool use_motion() const;
+  float motion_time(int step) const;
+  int motion_step(float time) const;
+  void update_motion();
+
+  /* Maximum number of motion steps supported (due to Embree). */
+  static const uint MAX_MOTION_STEPS = 129;
+
+  /* Check whether object is traceable and it worth adding it to
+   * kernel scene.
+   */
+  bool is_traceable() const;
+
+  /* Combine object's visibility with all possible internal run-time
+   * determined flags which denotes trace-time visibility.
+   */
+  uint visibility_for_tracing() const;
+
+  /* Returns the index that is used in the kernel for this object. */
+  int get_device_index() const;
+
+  /* Compute step size from attributes, shaders, transforms. */
+  float compute_volume_step_size() const;
+
+ protected:
+  /* Specifies the position of the object in scene->objects and
+   * in the device vectors. Gets set in device_update. */
+  int index;
+
+  /* Reference to the attribute map with object attributes,
+   * or 0 if none. Set in update_svm_attributes. */
+  size_t attr_map_offset;
+
+  friend class ObjectManager;
+  friend class GeometryManager;
+};
+
+/* Object Manager */
+
+class ObjectManager {
+  uint32_t update_flags;
+
+ public:
+  enum : uint32_t {
+    PARTICLE_MODIFIED = (1 << 0),
+    GEOMETRY_MANAGER = (1 << 1),
+    MOTION_BLUR_MODIFIED = (1 << 2),
+    OBJECT_ADDED = (1 << 3),
+    OBJECT_REMOVED = (1 << 4),
+    OBJECT_MODIFIED = (1 << 5),
+    HOLDOUT_MODIFIED = (1 << 6),
+    TRANSFORM_MODIFIED = (1 << 7),
+    VISIBILITY_MODIFIED = (1 << 8),
+
+    /* tag everything in the manager for an update */
+    UPDATE_ALL = ~0u,
+
+    UPDATE_NONE = 0u,
+  };
+
+  bool need_flags_update;
+
+  ObjectManager();
+  ~ObjectManager();
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+  void device_update_transforms(DeviceScene *dscene, Scene *scene, Progress &progress);
+
+  void device_update_flags(Device *device,
+                           DeviceScene *dscene,
+                           Scene *scene,
+                           Progress &progress,
+                           bool bounds_valid = true);
+  void device_update_mesh_offsets(Device *device, DeviceScene *dscene, Scene *scene);
+
+  void device_free(Device *device, DeviceScene *dscene, bool force_free);
+
+  void tag_update(Scene *scene, uint32_t flag);
+
+  bool need_update() const;
+
+  void apply_static_transforms(DeviceScene *dscene, Scene *scene, Progress &progress);
+
+  string get_cryptomatte_objects(Scene *scene);
+  string get_cryptomatte_assets(Scene *scene);
+
+ protected:
+  void device_update_object_transform(UpdateObjectTransformState *state,
+                                      Object *ob,
+                                      bool update_all);
+  void device_update_object_transform_task(UpdateObjectTransformState *state);
+  bool device_update_object_transform_pop_work(UpdateObjectTransformState *state,
+                                               int *start_index,
+                                               int *num_objects);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __OBJECT_H__ */
diff --git a/intern/cycles/scene/osl.cpp b/intern/cycles/scene/osl.cpp
new file mode 100644
index 00000000000..c8ab83ab781
--- /dev/null
+++ b/intern/cycles/scene/osl.cpp
@@ -0,0 +1,1304 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "device/device.h"
+
+#include "scene/background.h"
+#include "scene/colorspace.h"
+#include "scene/light.h"
+#include "scene/osl.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
+#include "scene/stats.h"
+
+#ifdef WITH_OSL
+
+#  include "kernel/osl/osl_globals.h"
+#  include "kernel/osl/osl_services.h"
+#  include "kernel/osl/osl_shader.h"
+
+#  include "util/util_aligned_malloc.h"
+#  include "util/util_foreach.h"
+#  include "util/util_logging.h"
+#  include "util/util_md5.h"
+#  include "util/util_path.h"
+#  include "util/util_progress.h"
+#  include "util/util_projection.h"
+
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+#ifdef WITH_OSL
+
+/* Shared Texture and Shading System */
+
+OSL::TextureSystem *OSLShaderManager::ts_shared = NULL;
+int OSLShaderManager::ts_shared_users = 0;
+thread_mutex OSLShaderManager::ts_shared_mutex;
+
+OSL::ShadingSystem *OSLShaderManager::ss_shared = NULL;
+OSLRenderServices *OSLShaderManager::services_shared = NULL;
+int OSLShaderManager::ss_shared_users = 0;
+thread_mutex OSLShaderManager::ss_shared_mutex;
+thread_mutex OSLShaderManager::ss_mutex;
+int OSLCompiler::texture_shared_unique_id = 0;
+
+/* Shader Manager */
+
+OSLShaderManager::OSLShaderManager()
+{
+  texture_system_init();
+  shading_system_init();
+}
+
+OSLShaderManager::~OSLShaderManager()
+{
+  shading_system_free();
+  texture_system_free();
+}
+
+void OSLShaderManager::free_memory()
+{
+#  ifdef OSL_HAS_BLENDER_CLEANUP_FIX
+  /* There is a problem with LLVM+OSL: The order global destructors across
+   * different compilation units run cannot be guaranteed, on windows this means
+   * that the LLVM destructors run before the osl destructors, causing a crash
+   * when the process exits. the OSL in svn has a special cleanup hack to
+   * sidestep this behavior */
+  OSL::pvt::LLVM_Util::Cleanup();
+#  endif
+}
+
+void OSLShaderManager::reset(Scene * /*scene*/)
+{
+  shading_system_free();
+  shading_system_init();
+}
+
+void OSLShaderManager::device_update_specific(Device *device,
+                                              DeviceScene *dscene,
+                                              Scene *scene,
+                                              Progress &progress)
+{
+  if (!need_update())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->osl.times.add_entry({"device_update", time});
+    }
+  });
+
+  VLOG(1) << "Total " << scene->shaders.size() << " shaders.";
+
+  device_free(device, dscene, scene);
+
+  /* set texture system */
+  scene->image_manager->set_osl_texture_system((void *)ts);
+
+  /* create shaders */
+  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
+  Shader *background_shader = scene->background->get_shader(scene);
+
+  foreach (Shader *shader, scene->shaders) {
+    assert(shader->graph);
+
+    if (progress.get_cancel())
+      return;
+
+    /* we can only compile one shader at the time as the OSL ShadingSytem
+     * has a single state, but we put the lock here so different renders can
+     * compile shaders alternating */
+    thread_scoped_lock lock(ss_mutex);
+
+    OSLCompiler compiler(this, services, ss, scene);
+    compiler.background = (shader == background_shader);
+    compiler.compile(og, shader);
+
+    if (shader->get_use_mis() && shader->has_surface_emission)
+      scene->light_manager->tag_update(scene, LightManager::SHADER_COMPILED);
+  }
+
+  /* setup shader engine */
+  og->ss = ss;
+  og->ts = ts;
+  og->services = services;
+
+  int background_id = scene->shader_manager->get_shader_id(background_shader);
+  og->background_state = og->surface_state[background_id & SHADER_MASK];
+  og->use = true;
+
+  foreach (Shader *shader, scene->shaders)
+    shader->clear_modified();
+
+  update_flags = UPDATE_NONE;
+
+  /* add special builtin texture types */
+  services->textures.insert(ustring("@ao"), new OSLTextureHandle(OSLTextureHandle::AO));
+  services->textures.insert(ustring("@bevel"), new OSLTextureHandle(OSLTextureHandle::BEVEL));
+
+  device_update_common(device, dscene, scene, progress);
+
+  {
+    /* Perform greedyjit optimization.
+     *
+     * This might waste time on optimizing groups which are never actually
+     * used, but this prevents OSL from allocating data on TLS at render
+     * time.
+     *
+     * This is much better for us because this way we aren't required to
+     * stop task scheduler threads to make sure all TLS is clean and don't
+     * have issues with TLS data free accessing freed memory if task scheduler
+     * is being freed after the Session is freed.
+     */
+    thread_scoped_lock lock(ss_shared_mutex);
+    ss->optimize_all_groups();
+  }
+}
+
+void OSLShaderManager::device_free(Device *device, DeviceScene *dscene, Scene *scene)
+{
+  OSLGlobals *og = (OSLGlobals *)device->get_cpu_osl_memory();
+
+  device_free_common(device, dscene, scene);
+
+  /* clear shader engine */
+  og->use = false;
+  og->ss = NULL;
+  og->ts = NULL;
+
+  og->surface_state.clear();
+  og->volume_state.clear();
+  og->displacement_state.clear();
+  og->bump_state.clear();
+  og->background_state.reset();
+}
+
+void OSLShaderManager::texture_system_init()
+{
+  /* create texture system, shared between different renders to reduce memory usage */
+  thread_scoped_lock lock(ts_shared_mutex);
+
+  if (ts_shared_users == 0) {
+    ts_shared = TextureSystem::create(true);
+
+    ts_shared->attribute("automip", 1);
+    ts_shared->attribute("autotile", 64);
+    ts_shared->attribute("gray_to_rgb", 1);
+
+    /* effectively unlimited for now, until we support proper mipmap lookups */
+    ts_shared->attribute("max_memory_MB", 16384);
+  }
+
+  ts = ts_shared;
+  ts_shared_users++;
+}
+
+void OSLShaderManager::texture_system_free()
+{
+  /* shared texture system decrease users and destroy if no longer used */
+  thread_scoped_lock lock(ts_shared_mutex);
+  ts_shared_users--;
+
+  if (ts_shared_users == 0) {
+    ts_shared->invalidate_all(true);
+    OSL::TextureSystem::destroy(ts_shared);
+    ts_shared = NULL;
+  }
+
+  ts = NULL;
+}
+
+void OSLShaderManager::shading_system_init()
+{
+  /* create shading system, shared between different renders to reduce memory usage */
+  thread_scoped_lock lock(ss_shared_mutex);
+
+  if (ss_shared_users == 0) {
+    /* Must use aligned new due to concurrent hash map. */
+    services_shared = util_aligned_new<OSLRenderServices>(ts_shared);
+
+    string shader_path = path_get("shader");
+#  ifdef _WIN32
+    /* Annoying thing, Cycles stores paths in UTF-8 codepage, so it can
+     * operate with file paths with any character. This requires to use wide
+     * char functions, but OSL uses old fashioned ANSI functions which means:
+     *
+     * - We have to convert our paths to ANSI before passing to OSL
+     * - OSL can't be used when there's a multi-byte character in the path
+     *   to the shaders folder.
+     */
+    shader_path = string_to_ansi(shader_path);
+#  endif
+
+    ss_shared = new OSL::ShadingSystem(services_shared, ts_shared, &errhandler);
+    ss_shared->attribute("lockgeom", 1);
+    ss_shared->attribute("commonspace", "world");
+    ss_shared->attribute("searchpath:shader", shader_path);
+    ss_shared->attribute("greedyjit", 1);
+
+    VLOG(1) << "Using shader search path: " << shader_path;
+
+    /* our own ray types */
+    static const char *raytypes[] = {
+        "camera",         /* PATH_RAY_CAMERA */
+        "reflection",     /* PATH_RAY_REFLECT */
+        "refraction",     /* PATH_RAY_TRANSMIT */
+        "diffuse",        /* PATH_RAY_DIFFUSE */
+        "glossy",         /* PATH_RAY_GLOSSY */
+        "singular",       /* PATH_RAY_SINGULAR */
+        "transparent",    /* PATH_RAY_TRANSPARENT */
+        "volume_scatter", /* PATH_RAY_VOLUME_SCATTER */
+
+        "shadow", /* PATH_RAY_SHADOW_OPAQUE */
+        "shadow", /* PATH_RAY_SHADOW_TRANSPARENT */
+
+        "__unused__", /* PATH_RAY_NODE_UNALIGNED */
+        "__unused__", /* PATH_RAY_MIS_SKIP */
+
+        "diffuse_ancestor", /* PATH_RAY_DIFFUSE_ANCESTOR */
+
+        "__unused__", /* PATH_RAY_SINGLE_PASS_DONE */
+        "__unused__", /* PATH_RAY_TRANSPARENT_BACKGROUND */
+        "__unused__", /* PATH_RAY_TERMINATE_IMMEDIATE */
+        "__unused__", /* PATH_RAY_TERMINATE_AFTER_TRANSPARENT */
+        "__unused__", /* PATH_RAY_EMISSION */
+        "__unused__", /* PATH_RAY_SUBSURFACE */
+        "__unused__", /* PATH_RAY_DENOISING_FEATURES */
+        "__unused__", /* PATH_RAY_REFLECT_PASS */
+        "__unused__", /* PATH_RAY_TRANSMISSION_PASS */
+        "__unused__", /* PATH_RAY_VOLUME_PASS */
+        "__unused__", /* PATH_RAY_SHADOW_FOR_LIGHT */
+        "__unused__", /* PATH_RAY_SHADOW_CATCHER_HIT */
+        "__unused__", /* PATH_RAY_SHADOW_CATCHER_PASS */
+    };
+
+    const int nraytypes = sizeof(raytypes) / sizeof(raytypes[0]);
+    ss_shared->attribute("raytypes", TypeDesc(TypeDesc::STRING, nraytypes), raytypes);
+
+    OSLShader::register_closures((OSLShadingSystem *)ss_shared);
+
+    loaded_shaders.clear();
+  }
+
+  ss = ss_shared;
+  services = services_shared;
+  ss_shared_users++;
+}
+
+void OSLShaderManager::shading_system_free()
+{
+  /* shared shading system decrease users and destroy if no longer used */
+  thread_scoped_lock lock(ss_shared_mutex);
+  ss_shared_users--;
+
+  if (ss_shared_users == 0) {
+    delete ss_shared;
+    ss_shared = NULL;
+
+    util_aligned_delete(services_shared);
+    services_shared = NULL;
+  }
+
+  ss = NULL;
+  services = NULL;
+}
+
+bool OSLShaderManager::osl_compile(const string &inputfile, const string &outputfile)
+{
+  vector<string> options;
+  string stdosl_path;
+  string shader_path = path_get("shader");
+
+  /* specify output file name */
+  options.push_back("-o");
+  options.push_back(outputfile);
+
+  /* specify standard include path */
+  string include_path_arg = string("-I") + shader_path;
+  options.push_back(include_path_arg);
+
+  stdosl_path = path_join(shader_path, "stdcycles.h");
+
+  /* compile */
+  OSL::OSLCompiler *compiler = new OSL::OSLCompiler(&OSL::ErrorHandler::default_handler());
+  bool ok = compiler->compile(string_view(inputfile), options, string_view(stdosl_path));
+  delete compiler;
+
+  return ok;
+}
+
+bool OSLShaderManager::osl_query(OSL::OSLQuery &query, const string &filepath)
+{
+  string searchpath = path_user_get("shaders");
+  return query.open(filepath, searchpath);
+}
+
+static string shader_filepath_hash(const string &filepath, uint64_t modified_time)
+{
+  /* compute a hash from filepath and modified time to detect changes */
+  MD5Hash md5;
+  md5.append((const uint8_t *)filepath.c_str(), filepath.size());
+  md5.append((const uint8_t *)&modified_time, sizeof(modified_time));
+
+  return md5.get_hex();
+}
+
+const char *OSLShaderManager::shader_test_loaded(const string &hash)
+{
+  map<string, OSLShaderInfo>::iterator it = loaded_shaders.find(hash);
+  return (it == loaded_shaders.end()) ? NULL : it->first.c_str();
+}
+
+OSLShaderInfo *OSLShaderManager::shader_loaded_info(const string &hash)
+{
+  map<string, OSLShaderInfo>::iterator it = loaded_shaders.find(hash);
+  return (it == loaded_shaders.end()) ? NULL : &it->second;
+}
+
+const char *OSLShaderManager::shader_load_filepath(string filepath)
+{
+  size_t len = filepath.size();
+  string extension = filepath.substr(len - 4);
+  uint64_t modified_time = path_modified_time(filepath);
+
+  if (extension == ".osl") {
+    /* .OSL File */
+    string osopath = filepath.substr(0, len - 4) + ".oso";
+    uint64_t oso_modified_time = path_modified_time(osopath);
+
+    /* test if we have loaded the corresponding .OSO already */
+    if (oso_modified_time != 0) {
+      const char *hash = shader_test_loaded(shader_filepath_hash(osopath, oso_modified_time));
+
+      if (hash)
+        return hash;
+    }
+
+    /* Auto-compile .OSL to .OSO if needed. */
+    if (oso_modified_time == 0 || (oso_modified_time < modified_time)) {
+      OSLShaderManager::osl_compile(filepath, osopath);
+      modified_time = path_modified_time(osopath);
+    }
+    else
+      modified_time = oso_modified_time;
+
+    filepath = osopath;
+  }
+  else {
+    if (extension == ".oso") {
+      /* .OSO File, nothing to do */
+    }
+    else if (path_dirname(filepath) == "") {
+      /* .OSO File in search path */
+      filepath = path_join(path_user_get("shaders"), filepath + ".oso");
+    }
+    else {
+      /* unknown file */
+      return NULL;
+    }
+
+    /* test if we have loaded this .OSO already */
+    const char *hash = shader_test_loaded(shader_filepath_hash(filepath, modified_time));
+
+    if (hash)
+      return hash;
+  }
+
+  /* read oso bytecode from file */
+  string bytecode_hash = shader_filepath_hash(filepath, modified_time);
+  string bytecode;
+
+  if (!path_read_text(filepath, bytecode)) {
+    fprintf(stderr, "Cycles shader graph: failed to read file %s\n", filepath.c_str());
+    OSLShaderInfo info;
+    loaded_shaders[bytecode_hash] = info; /* to avoid repeat tries */
+    return NULL;
+  }
+
+  return shader_load_bytecode(bytecode_hash, bytecode);
+}
+
+const char *OSLShaderManager::shader_load_bytecode(const string &hash, const string &bytecode)
+{
+  ss->LoadMemoryCompiledShader(hash.c_str(), bytecode.c_str());
+
+  OSLShaderInfo info;
+
+  if (!info.query.open_bytecode(bytecode)) {
+    fprintf(stderr, "OSL query error: %s\n", info.query.geterror().c_str());
+  }
+
+  /* this is a bit weak, but works */
+  info.has_surface_emission = (bytecode.find("\"emission\"") != string::npos);
+  info.has_surface_transparent = (bytecode.find("\"transparent\"") != string::npos);
+  info.has_surface_bssrdf = (bytecode.find("\"bssrdf\"") != string::npos);
+
+  loaded_shaders[hash] = info;
+
+  return loaded_shaders.find(hash)->first.c_str();
+}
+
+/* This is a static function to avoid RTTI link errors with only this
+ * file being compiled without RTTI to match OSL and LLVM libraries. */
+OSLNode *OSLShaderManager::osl_node(ShaderGraph *graph,
+                                    ShaderManager *manager,
+                                    const std::string &filepath,
+                                    const std::string &bytecode_hash,
+                                    const std::string &bytecode)
+{
+  if (!manager->use_osl()) {
+    return NULL;
+  }
+
+  /* create query */
+  OSLShaderManager *osl_manager = static_cast<OSLShaderManager *>(manager);
+  const char *hash;
+
+  if (!filepath.empty()) {
+    hash = osl_manager->shader_load_filepath(filepath);
+  }
+  else {
+    hash = osl_manager->shader_test_loaded(bytecode_hash);
+    if (!hash)
+      hash = osl_manager->shader_load_bytecode(bytecode_hash, bytecode);
+  }
+
+  if (!hash) {
+    return NULL;
+  }
+
+  OSLShaderInfo *info = osl_manager->shader_loaded_info(hash);
+
+  /* count number of inputs */
+  size_t num_inputs = 0;
+
+  for (int i = 0; i < info->query.nparams(); i++) {
+    const OSL::OSLQuery::Parameter *param = info->query.getparam(i);
+
+    /* skip unsupported types */
+    if (param->varlenarray || param->isstruct || param->type.arraylen > 1)
+      continue;
+
+    if (!param->isoutput)
+      num_inputs++;
+  }
+
+  /* create node */
+  OSLNode *node = OSLNode::create(graph, num_inputs);
+
+  /* add new sockets from parameters */
+  set<void *> used_sockets;
+
+  for (int i = 0; i < info->query.nparams(); i++) {
+    const OSL::OSLQuery::Parameter *param = info->query.getparam(i);
+
+    /* skip unsupported types */
+    if (param->varlenarray || param->isstruct || param->type.arraylen > 1)
+      continue;
+
+    SocketType::Type socket_type;
+
+    if (param->isclosure) {
+      socket_type = SocketType::CLOSURE;
+    }
+    else if (param->type.vecsemantics != TypeDesc::NOSEMANTICS) {
+      if (param->type.vecsemantics == TypeDesc::COLOR)
+        socket_type = SocketType::COLOR;
+      else if (param->type.vecsemantics == TypeDesc::POINT)
+        socket_type = SocketType::POINT;
+      else if (param->type.vecsemantics == TypeDesc::VECTOR)
+        socket_type = SocketType::VECTOR;
+      else if (param->type.vecsemantics == TypeDesc::NORMAL)
+        socket_type = SocketType::NORMAL;
+      else
+        continue;
+
+      if (!param->isoutput && param->validdefault) {
+        float3 *default_value = (float3 *)node->input_default_value();
+        default_value->x = param->fdefault[0];
+        default_value->y = param->fdefault[1];
+        default_value->z = param->fdefault[2];
+      }
+    }
+    else if (param->type.aggregate == TypeDesc::SCALAR) {
+      if (param->type.basetype == TypeDesc::INT) {
+        socket_type = SocketType::INT;
+
+        if (!param->isoutput && param->validdefault) {
+          *(int *)node->input_default_value() = param->idefault[0];
+        }
+      }
+      else if (param->type.basetype == TypeDesc::FLOAT) {
+        socket_type = SocketType::FLOAT;
+
+        if (!param->isoutput && param->validdefault) {
+          *(float *)node->input_default_value() = param->fdefault[0];
+        }
+      }
+      else if (param->type.basetype == TypeDesc::STRING) {
+        socket_type = SocketType::STRING;
+
+        if (!param->isoutput && param->validdefault) {
+          *(ustring *)node->input_default_value() = param->sdefault[0];
+        }
+      }
+      else
+        continue;
+    }
+    else
+      continue;
+
+    if (param->isoutput) {
+      node->add_output(param->name, socket_type);
+    }
+    else {
+      node->add_input(param->name, socket_type);
+    }
+  }
+
+  /* Set byte-code hash or file-path. */
+  if (!bytecode_hash.empty()) {
+    node->bytecode_hash = bytecode_hash;
+  }
+  else {
+    node->filepath = filepath;
+  }
+
+  /* Generate inputs and outputs */
+  node->create_inputs_outputs(node->type);
+
+  return node;
+}
+
+/* Graph Compiler */
+
+OSLCompiler::OSLCompiler(OSLShaderManager *manager,
+                         OSLRenderServices *services,
+                         OSL::ShadingSystem *ss,
+                         Scene *scene)
+    : scene(scene), manager(manager), services(services), ss(ss)
+{
+  current_type = SHADER_TYPE_SURFACE;
+  current_shader = NULL;
+  background = false;
+}
+
+string OSLCompiler::id(ShaderNode *node)
+{
+  /* assign layer unique name based on pointer address + bump mode */
+  stringstream stream;
+  stream << "node_" << node->type->name << "_" << node;
+
+  return stream.str();
+}
+
+string OSLCompiler::compatible_name(ShaderNode *node, ShaderInput *input)
+{
+  string sname(input->name().string());
+  size_t i;
+
+  /* Strip white-space. */
+  while ((i = sname.find(" ")) != string::npos)
+    sname.replace(i, 1, "");
+
+  /* if output exists with the same name, add "In" suffix */
+  foreach (ShaderOutput *output, node->outputs) {
+    if (input->name() == output->name()) {
+      sname += "In";
+      break;
+    }
+  }
+
+  return sname;
+}
+
+string OSLCompiler::compatible_name(ShaderNode *node, ShaderOutput *output)
+{
+  string sname(output->name().string());
+  size_t i;
+
+  /* Strip white-space. */
+  while ((i = sname.find(" ")) != string::npos)
+    sname.replace(i, 1, "");
+
+  /* if input exists with the same name, add "Out" suffix */
+  foreach (ShaderInput *input, node->inputs) {
+    if (input->name() == output->name()) {
+      sname += "Out";
+      break;
+    }
+  }
+
+  return sname;
+}
+
+bool OSLCompiler::node_skip_input(ShaderNode *node, ShaderInput *input)
+{
+  /* exception for output node, only one input is actually used
+   * depending on the current shader type */
+
+  if (input->flags() & SocketType::SVM_INTERNAL)
+    return true;
+
+  if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT) {
+    if (input->name() == "Surface" && current_type != SHADER_TYPE_SURFACE)
+      return true;
+    if (input->name() == "Volume" && current_type != SHADER_TYPE_VOLUME)
+      return true;
+    if (input->name() == "Displacement" && current_type != SHADER_TYPE_DISPLACEMENT)
+      return true;
+    if (input->name() == "Normal" && current_type != SHADER_TYPE_BUMP)
+      return true;
+  }
+  else if (node->special_type == SHADER_SPECIAL_TYPE_BUMP) {
+    if (input->name() == "Height")
+      return true;
+  }
+  else if (current_type == SHADER_TYPE_DISPLACEMENT && input->link &&
+           input->link->parent->special_type == SHADER_SPECIAL_TYPE_BUMP)
+    return true;
+
+  return false;
+}
+
+void OSLCompiler::add(ShaderNode *node, const char *name, bool isfilepath)
+{
+  /* load filepath */
+  if (isfilepath) {
+    name = manager->shader_load_filepath(name);
+
+    if (name == NULL)
+      return;
+  }
+
+  /* pass in fixed parameter values */
+  foreach (ShaderInput *input, node->inputs) {
+    if (!input->link) {
+      /* checks to untangle graphs */
+      if (node_skip_input(node, input))
+        continue;
+
+      string param_name = compatible_name(node, input);
+      const SocketType &socket = input->socket_type;
+      switch (input->type()) {
+        case SocketType::COLOR:
+          parameter_color(param_name.c_str(), node->get_float3(socket));
+          break;
+        case SocketType::POINT:
+          parameter_point(param_name.c_str(), node->get_float3(socket));
+          break;
+        case SocketType::VECTOR:
+          parameter_vector(param_name.c_str(), node->get_float3(socket));
+          break;
+        case SocketType::NORMAL:
+          parameter_normal(param_name.c_str(), node->get_float3(socket));
+          break;
+        case SocketType::FLOAT:
+          parameter(param_name.c_str(), node->get_float(socket));
+          break;
+        case SocketType::INT:
+          parameter(param_name.c_str(), node->get_int(socket));
+          break;
+        case SocketType::STRING:
+          parameter(param_name.c_str(), node->get_string(socket));
+          break;
+        case SocketType::CLOSURE:
+        case SocketType::UNDEFINED:
+        default:
+          break;
+      }
+    }
+  }
+
+  /* Create shader of the appropriate type. OSL only distinguishes between "surface"
+   * and "displacement" at the moment. */
+  if (current_type == SHADER_TYPE_SURFACE)
+    ss->Shader("surface", name, id(node).c_str());
+  else if (current_type == SHADER_TYPE_VOLUME)
+    ss->Shader("surface", name, id(node).c_str());
+  else if (current_type == SHADER_TYPE_DISPLACEMENT)
+    ss->Shader("displacement", name, id(node).c_str());
+  else if (current_type == SHADER_TYPE_BUMP)
+    ss->Shader("displacement", name, id(node).c_str());
+  else
+    assert(0);
+
+  /* link inputs to other nodes */
+  foreach (ShaderInput *input, node->inputs) {
+    if (input->link) {
+      if (node_skip_input(node, input))
+        continue;
+
+      /* connect shaders */
+      string id_from = id(input->link->parent);
+      string id_to = id(node);
+      string param_from = compatible_name(input->link->parent, input->link);
+      string param_to = compatible_name(node, input);
+
+      ss->ConnectShaders(id_from.c_str(), param_from.c_str(), id_to.c_str(), param_to.c_str());
+    }
+  }
+
+  /* test if we shader contains specific closures */
+  OSLShaderInfo *info = manager->shader_loaded_info(name);
+
+  if (current_type == SHADER_TYPE_SURFACE) {
+    if (info) {
+      if (info->has_surface_emission)
+        current_shader->has_surface_emission = true;
+      if (info->has_surface_transparent)
+        current_shader->has_surface_transparent = true;
+      if (info->has_surface_bssrdf) {
+        current_shader->has_surface_bssrdf = true;
+        current_shader->has_bssrdf_bump = true; /* can't detect yet */
+      }
+      current_shader->has_bump = true;             /* can't detect yet */
+      current_shader->has_surface_raytrace = true; /* can't detect yet */
+    }
+
+    if (node->has_spatial_varying()) {
+      current_shader->has_surface_spatial_varying = true;
+    }
+  }
+  else if (current_type == SHADER_TYPE_VOLUME) {
+    if (node->has_spatial_varying())
+      current_shader->has_volume_spatial_varying = true;
+    if (node->has_attribute_dependency())
+      current_shader->has_volume_attribute_dependency = true;
+  }
+
+  if (node->has_integrator_dependency()) {
+    current_shader->has_integrator_dependency = true;
+  }
+}
+
+static TypeDesc array_typedesc(TypeDesc typedesc, int arraylength)
+{
+  return TypeDesc((TypeDesc::BASETYPE)typedesc.basetype,
+                  (TypeDesc::AGGREGATE)typedesc.aggregate,
+                  (TypeDesc::VECSEMANTICS)typedesc.vecsemantics,
+                  arraylength);
+}
+
+void OSLCompiler::parameter(ShaderNode *node, const char *name)
+{
+  ustring uname = ustring(name);
+  const SocketType &socket = *(node->type->find_input(uname));
+
+  switch (socket.type) {
+    case SocketType::BOOLEAN: {
+      int value = node->get_bool(socket);
+      ss->Parameter(name, TypeDesc::TypeInt, &value);
+      break;
+    }
+    case SocketType::FLOAT: {
+      float value = node->get_float(socket);
+      ss->Parameter(uname, TypeDesc::TypeFloat, &value);
+      break;
+    }
+    case SocketType::INT: {
+      int value = node->get_int(socket);
+      ss->Parameter(uname, TypeDesc::TypeInt, &value);
+      break;
+    }
+    case SocketType::COLOR: {
+      float3 value = node->get_float3(socket);
+      ss->Parameter(uname, TypeDesc::TypeColor, &value);
+      break;
+    }
+    case SocketType::VECTOR: {
+      float3 value = node->get_float3(socket);
+      ss->Parameter(uname, TypeDesc::TypeVector, &value);
+      break;
+    }
+    case SocketType::POINT: {
+      float3 value = node->get_float3(socket);
+      ss->Parameter(uname, TypeDesc::TypePoint, &value);
+      break;
+    }
+    case SocketType::NORMAL: {
+      float3 value = node->get_float3(socket);
+      ss->Parameter(uname, TypeDesc::TypeNormal, &value);
+      break;
+    }
+    case SocketType::POINT2: {
+      float2 value = node->get_float2(socket);
+      ss->Parameter(uname, TypeDesc(TypeDesc::FLOAT, TypeDesc::VEC2, TypeDesc::POINT), &value);
+      break;
+    }
+    case SocketType::STRING: {
+      ustring value = node->get_string(socket);
+      ss->Parameter(uname, TypeDesc::TypeString, &value);
+      break;
+    }
+    case SocketType::ENUM: {
+      ustring value = node->get_string(socket);
+      ss->Parameter(uname, TypeDesc::TypeString, &value);
+      break;
+    }
+    case SocketType::TRANSFORM: {
+      Transform value = node->get_transform(socket);
+      ProjectionTransform projection(value);
+      projection = projection_transpose(projection);
+      ss->Parameter(uname, TypeDesc::TypeMatrix, &projection);
+      break;
+    }
+    case SocketType::BOOLEAN_ARRAY: {
+      // OSL does not support booleans, so convert to int
+      const array<bool> &value = node->get_bool_array(socket);
+      array<int> intvalue(value.size());
+      for (size_t i = 0; i < value.size(); i++)
+        intvalue[i] = value[i];
+      ss->Parameter(uname, array_typedesc(TypeDesc::TypeInt, value.size()), intvalue.data());
+      break;
+    }
+    case SocketType::FLOAT_ARRAY: {
+      const array<float> &value = node->get_float_array(socket);
+      ss->Parameter(uname, array_typedesc(TypeDesc::TypeFloat, value.size()), value.data());
+      break;
+    }
+    case SocketType::INT_ARRAY: {
+      const array<int> &value = node->get_int_array(socket);
+      ss->Parameter(uname, array_typedesc(TypeDesc::TypeInt, value.size()), value.data());
+      break;
+    }
+    case SocketType::COLOR_ARRAY:
+    case SocketType::VECTOR_ARRAY:
+    case SocketType::POINT_ARRAY:
+    case SocketType::NORMAL_ARRAY: {
+      TypeDesc typedesc;
+
+      switch (socket.type) {
+        case SocketType::COLOR_ARRAY:
+          typedesc = TypeDesc::TypeColor;
+          break;
+        case SocketType::VECTOR_ARRAY:
+          typedesc = TypeDesc::TypeVector;
+          break;
+        case SocketType::POINT_ARRAY:
+          typedesc = TypeDesc::TypePoint;
+          break;
+        case SocketType::NORMAL_ARRAY:
+          typedesc = TypeDesc::TypeNormal;
+          break;
+        default:
+          assert(0);
+          break;
+      }
+
+      // convert to tightly packed array since float3 has padding
+      const array<float3> &value = node->get_float3_array(socket);
+      array<float> fvalue(value.size() * 3);
+      for (size_t i = 0, j = 0; i < value.size(); i++) {
+        fvalue[j++] = value[i].x;
+        fvalue[j++] = value[i].y;
+        fvalue[j++] = value[i].z;
+      }
+
+      ss->Parameter(uname, array_typedesc(typedesc, value.size()), fvalue.data());
+      break;
+    }
+    case SocketType::POINT2_ARRAY: {
+      const array<float2> &value = node->get_float2_array(socket);
+      ss->Parameter(
+          uname,
+          array_typedesc(TypeDesc(TypeDesc::FLOAT, TypeDesc::VEC2, TypeDesc::POINT), value.size()),
+          value.data());
+      break;
+    }
+    case SocketType::STRING_ARRAY: {
+      const array<ustring> &value = node->get_string_array(socket);
+      ss->Parameter(uname, array_typedesc(TypeDesc::TypeString, value.size()), value.data());
+      break;
+    }
+    case SocketType::TRANSFORM_ARRAY: {
+      const array<Transform> &value = node->get_transform_array(socket);
+      array<ProjectionTransform> fvalue(value.size());
+      for (size_t i = 0; i < value.size(); i++) {
+        fvalue[i] = projection_transpose(ProjectionTransform(value[i]));
+      }
+      ss->Parameter(uname, array_typedesc(TypeDesc::TypeMatrix, fvalue.size()), fvalue.data());
+      break;
+    }
+    case SocketType::CLOSURE:
+    case SocketType::NODE:
+    case SocketType::NODE_ARRAY:
+    case SocketType::UNDEFINED:
+    case SocketType::UINT: {
+      assert(0);
+      break;
+    }
+  }
+}
+
+void OSLCompiler::parameter(const char *name, float f)
+{
+  ss->Parameter(name, TypeDesc::TypeFloat, &f);
+}
+
+void OSLCompiler::parameter_color(const char *name, float3 f)
+{
+  ss->Parameter(name, TypeDesc::TypeColor, &f);
+}
+
+void OSLCompiler::parameter_point(const char *name, float3 f)
+{
+  ss->Parameter(name, TypeDesc::TypePoint, &f);
+}
+
+void OSLCompiler::parameter_normal(const char *name, float3 f)
+{
+  ss->Parameter(name, TypeDesc::TypeNormal, &f);
+}
+
+void OSLCompiler::parameter_vector(const char *name, float3 f)
+{
+  ss->Parameter(name, TypeDesc::TypeVector, &f);
+}
+
+void OSLCompiler::parameter(const char *name, int f)
+{
+  ss->Parameter(name, TypeDesc::TypeInt, &f);
+}
+
+void OSLCompiler::parameter(const char *name, const char *s)
+{
+  ss->Parameter(name, TypeDesc::TypeString, &s);
+}
+
+void OSLCompiler::parameter(const char *name, ustring s)
+{
+  const char *str = s.c_str();
+  ss->Parameter(name, TypeDesc::TypeString, &str);
+}
+
+void OSLCompiler::parameter(const char *name, const Transform &tfm)
+{
+  ProjectionTransform projection(tfm);
+  projection = projection_transpose(projection);
+  ss->Parameter(name, TypeDesc::TypeMatrix, (float *)&projection);
+}
+
+void OSLCompiler::parameter_array(const char *name, const float f[], int arraylen)
+{
+  TypeDesc type = TypeDesc::TypeFloat;
+  type.arraylen = arraylen;
+  ss->Parameter(name, type, f);
+}
+
+void OSLCompiler::parameter_color_array(const char *name, const array<float3> &f)
+{
+  /* NOTE: cycles float3 type is actually 4 floats! need to use an explicit array. */
+  array<float[3]> table(f.size());
+
+  for (int i = 0; i < f.size(); ++i) {
+    table[i][0] = f[i].x;
+    table[i][1] = f[i].y;
+    table[i][2] = f[i].z;
+  }
+
+  TypeDesc type = TypeDesc::TypeColor;
+  type.arraylen = table.size();
+  ss->Parameter(name, type, table.data());
+}
+
+void OSLCompiler::parameter_attribute(const char *name, ustring s)
+{
+  if (Attribute::name_standard(s.c_str()))
+    parameter(name, (string("geom:") + s.c_str()).c_str());
+  else
+    parameter(name, s.c_str());
+}
+
+void OSLCompiler::find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input)
+{
+  ShaderNode *node = (input->link) ? input->link->parent : NULL;
+
+  if (node != NULL && dependencies.find(node) == dependencies.end()) {
+    foreach (ShaderInput *in, node->inputs)
+      if (!node_skip_input(node, in))
+        find_dependencies(dependencies, in);
+
+    dependencies.insert(node);
+  }
+}
+
+void OSLCompiler::generate_nodes(const ShaderNodeSet &nodes)
+{
+  ShaderNodeSet done;
+  bool nodes_done;
+
+  do {
+    nodes_done = true;
+
+    foreach (ShaderNode *node, nodes) {
+      if (done.find(node) == done.end()) {
+        bool inputs_done = true;
+
+        foreach (ShaderInput *input, node->inputs)
+          if (!node_skip_input(node, input))
+            if (input->link && done.find(input->link->parent) == done.end())
+              inputs_done = false;
+
+        if (inputs_done) {
+          node->compile(*this);
+          done.insert(node);
+
+          if (current_type == SHADER_TYPE_SURFACE) {
+            if (node->has_surface_emission())
+              current_shader->has_surface_emission = true;
+            if (node->has_surface_transparent())
+              current_shader->has_surface_transparent = true;
+            if (node->get_feature() & KERNEL_FEATURE_NODE_RAYTRACE)
+              current_shader->has_surface_raytrace = true;
+            if (node->has_spatial_varying())
+              current_shader->has_surface_spatial_varying = true;
+            if (node->has_surface_bssrdf()) {
+              current_shader->has_surface_bssrdf = true;
+              if (node->has_bssrdf_bump())
+                current_shader->has_bssrdf_bump = true;
+            }
+            if (node->has_bump()) {
+              current_shader->has_bump = true;
+            }
+          }
+          else if (current_type == SHADER_TYPE_VOLUME) {
+            if (node->has_spatial_varying())
+              current_shader->has_volume_spatial_varying = true;
+          }
+        }
+        else
+          nodes_done = false;
+      }
+    }
+  } while (!nodes_done);
+}
+
+OSL::ShaderGroupRef OSLCompiler::compile_type(Shader *shader, ShaderGraph *graph, ShaderType type)
+{
+  current_type = type;
+
+  OSL::ShaderGroupRef group = ss->ShaderGroupBegin(shader->name.c_str());
+
+  ShaderNode *output = graph->output();
+  ShaderNodeSet dependencies;
+
+  if (type == SHADER_TYPE_SURFACE) {
+    /* generate surface shader */
+    find_dependencies(dependencies, output->input("Surface"));
+    generate_nodes(dependencies);
+    output->compile(*this);
+  }
+  else if (type == SHADER_TYPE_BUMP) {
+    /* generate bump shader */
+    find_dependencies(dependencies, output->input("Normal"));
+    generate_nodes(dependencies);
+    output->compile(*this);
+  }
+  else if (type == SHADER_TYPE_VOLUME) {
+    /* generate volume shader */
+    find_dependencies(dependencies, output->input("Volume"));
+    generate_nodes(dependencies);
+    output->compile(*this);
+  }
+  else if (type == SHADER_TYPE_DISPLACEMENT) {
+    /* generate displacement shader */
+    find_dependencies(dependencies, output->input("Displacement"));
+    generate_nodes(dependencies);
+    output->compile(*this);
+  }
+  else
+    assert(0);
+
+  ss->ShaderGroupEnd();
+
+  return group;
+}
+
+void OSLCompiler::compile(OSLGlobals *og, Shader *shader)
+{
+  if (shader->is_modified()) {
+    ShaderGraph *graph = shader->graph;
+    ShaderNode *output = (graph) ? graph->output() : NULL;
+
+    bool has_bump = (shader->get_displacement_method() != DISPLACE_TRUE) &&
+                    output->input("Surface")->link && output->input("Displacement")->link;
+
+    /* finalize */
+    shader->graph->finalize(scene,
+                            has_bump,
+                            shader->has_integrator_dependency,
+                            shader->get_displacement_method() == DISPLACE_BOTH);
+
+    current_shader = shader;
+
+    shader->has_surface = false;
+    shader->has_surface_emission = false;
+    shader->has_surface_transparent = false;
+    shader->has_surface_bssrdf = false;
+    shader->has_bump = has_bump;
+    shader->has_bssrdf_bump = has_bump;
+    shader->has_volume = false;
+    shader->has_displacement = false;
+    shader->has_surface_spatial_varying = false;
+    shader->has_volume_spatial_varying = false;
+    shader->has_volume_attribute_dependency = false;
+    shader->has_integrator_dependency = false;
+
+    /* generate surface shader */
+    if (shader->reference_count() && graph && output->input("Surface")->link) {
+      shader->osl_surface_ref = compile_type(shader, shader->graph, SHADER_TYPE_SURFACE);
+
+      if (has_bump)
+        shader->osl_surface_bump_ref = compile_type(shader, shader->graph, SHADER_TYPE_BUMP);
+      else
+        shader->osl_surface_bump_ref = OSL::ShaderGroupRef();
+
+      shader->has_surface = true;
+    }
+    else {
+      shader->osl_surface_ref = OSL::ShaderGroupRef();
+      shader->osl_surface_bump_ref = OSL::ShaderGroupRef();
+    }
+
+    /* generate volume shader */
+    if (shader->reference_count() && graph && output->input("Volume")->link) {
+      shader->osl_volume_ref = compile_type(shader, shader->graph, SHADER_TYPE_VOLUME);
+      shader->has_volume = true;
+    }
+    else
+      shader->osl_volume_ref = OSL::ShaderGroupRef();
+
+    /* generate displacement shader */
+    if (shader->reference_count() && graph && output->input("Displacement")->link) {
+      shader->osl_displacement_ref = compile_type(shader, shader->graph, SHADER_TYPE_DISPLACEMENT);
+      shader->has_displacement = true;
+    }
+    else
+      shader->osl_displacement_ref = OSL::ShaderGroupRef();
+  }
+
+  /* push state to array for lookup */
+  og->surface_state.push_back(shader->osl_surface_ref);
+  og->volume_state.push_back(shader->osl_volume_ref);
+  og->displacement_state.push_back(shader->osl_displacement_ref);
+  og->bump_state.push_back(shader->osl_surface_bump_ref);
+}
+
+void OSLCompiler::parameter_texture(const char *name, ustring filename, ustring colorspace)
+{
+  /* Textured loaded through the OpenImageIO texture cache. For this
+   * case we need to do runtime color space conversion. */
+  OSLTextureHandle *handle = new OSLTextureHandle(OSLTextureHandle::OIIO);
+  handle->processor = ColorSpaceManager::get_processor(colorspace);
+  services->textures.insert(filename, handle);
+  parameter(name, filename);
+}
+
+void OSLCompiler::parameter_texture(const char *name, int svm_slot)
+{
+  /* Texture loaded through SVM image texture system. We generate a unique
+   * name, which ends up being used in OSLRenderServices::get_texture_handle
+   * to get handle again. Note that this name must be unique between multiple
+   * render sessions as the render services are shared. */
+  ustring filename(string_printf("@svm%d", texture_shared_unique_id++).c_str());
+  services->textures.insert(filename, new OSLTextureHandle(OSLTextureHandle::SVM, svm_slot));
+  parameter(name, filename);
+}
+
+void OSLCompiler::parameter_texture_ies(const char *name, int svm_slot)
+{
+  /* IES light textures stored in SVM. */
+  ustring filename(string_printf("@svm%d", texture_shared_unique_id++).c_str());
+  services->textures.insert(filename, new OSLTextureHandle(OSLTextureHandle::IES, svm_slot));
+  parameter(name, filename);
+}
+
+#else
+
+void OSLCompiler::add(ShaderNode * /*node*/, const char * /*name*/, bool /*isfilepath*/)
+{
+}
+
+void OSLCompiler::parameter(ShaderNode * /*node*/, const char * /*name*/)
+{
+}
+
+void OSLCompiler::parameter(const char * /*name*/, float /*f*/)
+{
+}
+
+void OSLCompiler::parameter_color(const char * /*name*/, float3 /*f*/)
+{
+}
+
+void OSLCompiler::parameter_vector(const char * /*name*/, float3 /*f*/)
+{
+}
+
+void OSLCompiler::parameter_point(const char * /*name*/, float3 /*f*/)
+{
+}
+
+void OSLCompiler::parameter_normal(const char * /*name*/, float3 /*f*/)
+{
+}
+
+void OSLCompiler::parameter(const char * /*name*/, int /*f*/)
+{
+}
+
+void OSLCompiler::parameter(const char * /*name*/, const char * /*s*/)
+{
+}
+
+void OSLCompiler::parameter(const char * /*name*/, ustring /*s*/)
+{
+}
+
+void OSLCompiler::parameter(const char * /*name*/, const Transform & /*tfm*/)
+{
+}
+
+void OSLCompiler::parameter_array(const char * /*name*/, const float /*f*/[], int /*arraylen*/)
+{
+}
+
+void OSLCompiler::parameter_color_array(const char * /*name*/, const array<float3> & /*f*/)
+{
+}
+
+void OSLCompiler::parameter_texture(const char * /* name */,
+                                    ustring /* filename */,
+                                    ustring /* colorspace */)
+{
+}
+
+void OSLCompiler::parameter_texture(const char * /* name */, int /* svm_slot */)
+{
+}
+
+void OSLCompiler::parameter_texture_ies(const char * /* name */, int /* svm_slot */)
+{
+}
+
+#endif /* WITH_OSL */
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/osl.h b/intern/cycles/scene/osl.h
new file mode 100644
index 00000000000..4161fe6ed67
--- /dev/null
+++ b/intern/cycles/scene/osl.h
@@ -0,0 +1,198 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __OSL_H__
+#define __OSL_H__
+
+#include "util/util_array.h"
+#include "util/util_set.h"
+#include "util/util_string.h"
+#include "util/util_thread.h"
+
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
+
+#ifdef WITH_OSL
+#  include <OSL/llvm_util.h>
+#  include <OSL/oslcomp.h>
+#  include <OSL/oslexec.h>
+#  include <OSL/oslquery.h>
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class ImageManager;
+class OSLRenderServices;
+struct OSLGlobals;
+class Scene;
+class ShaderGraph;
+class ShaderNode;
+class ShaderInput;
+class ShaderOutput;
+
+#ifdef WITH_OSL
+
+/* OSL Shader Info
+ * to auto detect closures in the shader for MIS and transparent shadows */
+
+struct OSLShaderInfo {
+  OSLShaderInfo()
+      : has_surface_emission(false), has_surface_transparent(false), has_surface_bssrdf(false)
+  {
+  }
+
+  OSL::OSLQuery query;
+  bool has_surface_emission;
+  bool has_surface_transparent;
+  bool has_surface_bssrdf;
+};
+
+/* Shader Manage */
+
+class OSLShaderManager : public ShaderManager {
+ public:
+  OSLShaderManager();
+  ~OSLShaderManager();
+
+  static void free_memory();
+
+  void reset(Scene *scene) override;
+
+  bool use_osl() override
+  {
+    return true;
+  }
+
+  void device_update_specific(Device *device,
+                              DeviceScene *dscene,
+                              Scene *scene,
+                              Progress &progress) override;
+  void device_free(Device *device, DeviceScene *dscene, Scene *scene) override;
+
+  /* osl compile and query */
+  static bool osl_compile(const string &inputfile, const string &outputfile);
+  static bool osl_query(OSL::OSLQuery &query, const string &filepath);
+
+  /* shader file loading, all functions return pointer to hash string if found */
+  const char *shader_test_loaded(const string &hash);
+  const char *shader_load_bytecode(const string &hash, const string &bytecode);
+  const char *shader_load_filepath(string filepath);
+  OSLShaderInfo *shader_loaded_info(const string &hash);
+
+  /* create OSL node using OSLQuery */
+  static OSLNode *osl_node(ShaderGraph *graph,
+                           ShaderManager *manager,
+                           const std::string &filepath,
+                           const std::string &bytecode_hash = "",
+                           const std::string &bytecode = "");
+
+ protected:
+  void texture_system_init();
+  void texture_system_free();
+
+  void shading_system_init();
+  void shading_system_free();
+
+  OSL::ShadingSystem *ss;
+  OSL::TextureSystem *ts;
+  OSLRenderServices *services;
+  OSL::ErrorHandler errhandler;
+  map<string, OSLShaderInfo> loaded_shaders;
+
+  static OSL::TextureSystem *ts_shared;
+  static thread_mutex ts_shared_mutex;
+  static int ts_shared_users;
+
+  static OSL::ShadingSystem *ss_shared;
+  static OSLRenderServices *services_shared;
+  static thread_mutex ss_shared_mutex;
+  static thread_mutex ss_mutex;
+  static int ss_shared_users;
+};
+
+#endif
+
+/* Graph Compiler */
+
+class OSLCompiler {
+ public:
+#ifdef WITH_OSL
+  OSLCompiler(OSLShaderManager *manager,
+              OSLRenderServices *services,
+              OSL::ShadingSystem *shadingsys,
+              Scene *scene);
+#endif
+  void compile(OSLGlobals *og, Shader *shader);
+
+  void add(ShaderNode *node, const char *name, bool isfilepath = false);
+
+  void parameter(ShaderNode *node, const char *name);
+
+  void parameter(const char *name, float f);
+  void parameter_color(const char *name, float3 f);
+  void parameter_vector(const char *name, float3 f);
+  void parameter_normal(const char *name, float3 f);
+  void parameter_point(const char *name, float3 f);
+  void parameter(const char *name, int f);
+  void parameter(const char *name, const char *s);
+  void parameter(const char *name, ustring str);
+  void parameter(const char *name, const Transform &tfm);
+
+  void parameter_array(const char *name, const float f[], int arraylen);
+  void parameter_color_array(const char *name, const array<float3> &f);
+
+  void parameter_attribute(const char *name, ustring s);
+
+  void parameter_texture(const char *name, ustring filename, ustring colorspace);
+  void parameter_texture(const char *name, int svm_slot);
+  void parameter_texture_ies(const char *name, int svm_slot);
+
+  ShaderType output_type()
+  {
+    return current_type;
+  }
+
+  bool background;
+  Scene *scene;
+
+ private:
+#ifdef WITH_OSL
+  string id(ShaderNode *node);
+  OSL::ShaderGroupRef compile_type(Shader *shader, ShaderGraph *graph, ShaderType type);
+  bool node_skip_input(ShaderNode *node, ShaderInput *input);
+  string compatible_name(ShaderNode *node, ShaderInput *input);
+  string compatible_name(ShaderNode *node, ShaderOutput *output);
+
+  void find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input);
+  void generate_nodes(const ShaderNodeSet &nodes);
+
+  OSLShaderManager *manager;
+  OSLRenderServices *services;
+  OSL::ShadingSystem *ss;
+#endif
+
+  ShaderType current_type;
+  Shader *current_shader;
+
+  static int texture_shared_unique_id;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __OSL_H__ */
diff --git a/intern/cycles/scene/particles.cpp b/intern/cycles/scene/particles.cpp
new file mode 100644
index 00000000000..8041c57ba02
--- /dev/null
+++ b/intern/cycles/scene/particles.cpp
@@ -0,0 +1,149 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/particles.h"
+#include "device/device.h"
+#include "scene/scene.h"
+#include "scene/stats.h"
+
+#include "util/util_foreach.h"
+#include "util/util_hash.h"
+#include "util/util_logging.h"
+#include "util/util_map.h"
+#include "util/util_progress.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Particle System */
+
+NODE_DEFINE(ParticleSystem)
+{
+  NodeType *type = NodeType::add("particle_system", create);
+  return type;
+}
+
+ParticleSystem::ParticleSystem() : Node(get_node_type())
+{
+}
+
+ParticleSystem::~ParticleSystem()
+{
+}
+
+void ParticleSystem::tag_update(Scene *scene)
+{
+  scene->particle_system_manager->tag_update(scene);
+}
+
+/* Particle System Manager */
+
+ParticleSystemManager::ParticleSystemManager()
+{
+  need_update_ = true;
+}
+
+ParticleSystemManager::~ParticleSystemManager()
+{
+}
+
+void ParticleSystemManager::device_update_particles(Device *,
+                                                    DeviceScene *dscene,
+                                                    Scene *scene,
+                                                    Progress &progress)
+{
+  /* count particles.
+   * adds one dummy particle at the beginning to avoid invalid lookups,
+   * in case a shader uses particle info without actual particle data. */
+  int num_particles = 1;
+  for (size_t j = 0; j < scene->particle_systems.size(); j++)
+    num_particles += scene->particle_systems[j]->particles.size();
+
+  KernelParticle *kparticles = dscene->particles.alloc(num_particles);
+
+  /* dummy particle */
+  memset(kparticles, 0, sizeof(KernelParticle));
+
+  int i = 1;
+  for (size_t j = 0; j < scene->particle_systems.size(); j++) {
+    ParticleSystem *psys = scene->particle_systems[j];
+
+    for (size_t k = 0; k < psys->particles.size(); k++) {
+      /* pack in texture */
+      Particle &pa = psys->particles[k];
+
+      kparticles[i].index = pa.index;
+      kparticles[i].age = pa.age;
+      kparticles[i].lifetime = pa.lifetime;
+      kparticles[i].size = pa.size;
+      kparticles[i].rotation = pa.rotation;
+      kparticles[i].location = float3_to_float4(pa.location);
+      kparticles[i].velocity = float3_to_float4(pa.velocity);
+      kparticles[i].angular_velocity = float3_to_float4(pa.angular_velocity);
+
+      i++;
+
+      if (progress.get_cancel())
+        return;
+    }
+  }
+
+  dscene->particles.copy_to_device();
+}
+
+void ParticleSystemManager::device_update(Device *device,
+                                          DeviceScene *dscene,
+                                          Scene *scene,
+                                          Progress &progress)
+{
+  if (!need_update())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->particles.times.add_entry({"device_update", time});
+    }
+  });
+
+  VLOG(1) << "Total " << scene->particle_systems.size() << " particle systems.";
+
+  device_free(device, dscene);
+
+  progress.set_status("Updating Particle Systems", "Copying Particles to device");
+  device_update_particles(device, dscene, scene, progress);
+
+  if (progress.get_cancel())
+    return;
+
+  need_update_ = false;
+}
+
+void ParticleSystemManager::device_free(Device *, DeviceScene *dscene)
+{
+  dscene->particles.free();
+}
+
+void ParticleSystemManager::tag_update(Scene * /*scene*/)
+{
+  need_update_ = true;
+}
+
+bool ParticleSystemManager::need_update() const
+{
+  return need_update_;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/particles.h b/intern/cycles/scene/particles.h
new file mode 100644
index 00000000000..8b59756f148
--- /dev/null
+++ b/intern/cycles/scene/particles.h
@@ -0,0 +1,80 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __PARTICLES_H__
+#define __PARTICLES_H__
+
+#include "util/util_array.h"
+#include "util/util_types.h"
+
+#include "graph/node.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Progress;
+class Scene;
+
+/* Particle System */
+
+struct Particle {
+  int index;
+  float age;
+  float lifetime;
+  float3 location;
+  float4 rotation;
+  float size;
+  float3 velocity;
+  float3 angular_velocity;
+};
+
+class ParticleSystem : public Node {
+ public:
+  NODE_DECLARE
+
+  ParticleSystem();
+  ~ParticleSystem();
+
+  void tag_update(Scene *scene);
+
+  array<Particle> particles;
+};
+
+/* ParticleSystem Manager */
+
+class ParticleSystemManager {
+  bool need_update_;
+
+ public:
+  ParticleSystemManager();
+  ~ParticleSystemManager();
+
+  void device_update_particles(Device *device,
+                               DeviceScene *dscene,
+                               Scene *scene,
+                               Progress &progress);
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+  void device_free(Device *device, DeviceScene *dscene);
+
+  void tag_update(Scene *scene);
+
+  bool need_update() const;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __PARTICLES_H__ */
diff --git a/intern/cycles/scene/pass.cpp b/intern/cycles/scene/pass.cpp
new file mode 100644
index 00000000000..ee770ac8e58
--- /dev/null
+++ b/intern/cycles/scene/pass.cpp
@@ -0,0 +1,426 @@
+/*
+ * Copyright 2011-2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/pass.h"
+
+#include "util/util_algorithm.h"
+#include "util/util_logging.h"
+
+CCL_NAMESPACE_BEGIN
+
+const char *pass_type_as_string(const PassType type)
+{
+  const int type_int = static_cast<int>(type);
+
+  const NodeEnum *type_enum = Pass::get_type_enum();
+
+  if (!type_enum->exists(type_int)) {
+    LOG(DFATAL) << "Unhandled pass type " << static_cast<int>(type) << ", not supposed to happen.";
+    return "UNKNOWN";
+  }
+
+  return (*type_enum)[type_int].c_str();
+}
+
+const char *pass_mode_as_string(PassMode mode)
+{
+  switch (mode) {
+    case PassMode::NOISY:
+      return "NOISY";
+    case PassMode::DENOISED:
+      return "DENOISED";
+  }
+
+  LOG(DFATAL) << "Unhandled pass mode " << static_cast<int>(mode) << ", should never happen.";
+  return "UNKNOWN";
+}
+
+std::ostream &operator<<(std::ostream &os, PassMode mode)
+{
+  os << pass_mode_as_string(mode);
+  return os;
+}
+
+const NodeEnum *Pass::get_type_enum()
+{
+  static NodeEnum pass_type_enum;
+
+  if (pass_type_enum.empty()) {
+
+    /* Light Passes. */
+    pass_type_enum.insert("combined", PASS_COMBINED);
+    pass_type_enum.insert("emission", PASS_EMISSION);
+    pass_type_enum.insert("background", PASS_BACKGROUND);
+    pass_type_enum.insert("ao", PASS_AO);
+    pass_type_enum.insert("shadow", PASS_SHADOW);
+    pass_type_enum.insert("diffuse", PASS_DIFFUSE);
+    pass_type_enum.insert("diffuse_direct", PASS_DIFFUSE_DIRECT);
+    pass_type_enum.insert("diffuse_indirect", PASS_DIFFUSE_INDIRECT);
+    pass_type_enum.insert("glossy", PASS_GLOSSY);
+    pass_type_enum.insert("glossy_direct", PASS_GLOSSY_DIRECT);
+    pass_type_enum.insert("glossy_indirect", PASS_GLOSSY_INDIRECT);
+    pass_type_enum.insert("transmission", PASS_TRANSMISSION);
+    pass_type_enum.insert("transmission_direct", PASS_TRANSMISSION_DIRECT);
+    pass_type_enum.insert("transmission_indirect", PASS_TRANSMISSION_INDIRECT);
+    pass_type_enum.insert("volume", PASS_VOLUME);
+    pass_type_enum.insert("volume_direct", PASS_VOLUME_DIRECT);
+    pass_type_enum.insert("volume_indirect", PASS_VOLUME_INDIRECT);
+
+    /* Data passes. */
+    pass_type_enum.insert("depth", PASS_DEPTH);
+    pass_type_enum.insert("position", PASS_POSITION);
+    pass_type_enum.insert("normal", PASS_NORMAL);
+    pass_type_enum.insert("roughness", PASS_ROUGHNESS);
+    pass_type_enum.insert("uv", PASS_UV);
+    pass_type_enum.insert("object_id", PASS_OBJECT_ID);
+    pass_type_enum.insert("material_id", PASS_MATERIAL_ID);
+    pass_type_enum.insert("motion", PASS_MOTION);
+    pass_type_enum.insert("motion_weight", PASS_MOTION_WEIGHT);
+    pass_type_enum.insert("cryptomatte", PASS_CRYPTOMATTE);
+    pass_type_enum.insert("aov_color", PASS_AOV_COLOR);
+    pass_type_enum.insert("aov_value", PASS_AOV_VALUE);
+    pass_type_enum.insert("adaptive_aux_buffer", PASS_ADAPTIVE_AUX_BUFFER);
+    pass_type_enum.insert("sample_count", PASS_SAMPLE_COUNT);
+    pass_type_enum.insert("diffuse_color", PASS_DIFFUSE_COLOR);
+    pass_type_enum.insert("glossy_color", PASS_GLOSSY_COLOR);
+    pass_type_enum.insert("transmission_color", PASS_TRANSMISSION_COLOR);
+    pass_type_enum.insert("mist", PASS_MIST);
+    pass_type_enum.insert("denoising_normal", PASS_DENOISING_NORMAL);
+    pass_type_enum.insert("denoising_albedo", PASS_DENOISING_ALBEDO);
+    pass_type_enum.insert("denoising_depth", PASS_DENOISING_DEPTH);
+
+    pass_type_enum.insert("shadow_catcher", PASS_SHADOW_CATCHER);
+    pass_type_enum.insert("shadow_catcher_sample_count", PASS_SHADOW_CATCHER_SAMPLE_COUNT);
+    pass_type_enum.insert("shadow_catcher_matte", PASS_SHADOW_CATCHER_MATTE);
+
+    pass_type_enum.insert("bake_primitive", PASS_BAKE_PRIMITIVE);
+    pass_type_enum.insert("bake_differential", PASS_BAKE_DIFFERENTIAL);
+  }
+
+  return &pass_type_enum;
+}
+
+const NodeEnum *Pass::get_mode_enum()
+{
+  static NodeEnum pass_mode_enum;
+
+  if (pass_mode_enum.empty()) {
+    pass_mode_enum.insert("noisy", static_cast<int>(PassMode::NOISY));
+    pass_mode_enum.insert("denoised", static_cast<int>(PassMode::DENOISED));
+  }
+
+  return &pass_mode_enum;
+}
+
+NODE_DEFINE(Pass)
+{
+  NodeType *type = NodeType::add("pass", create);
+
+  const NodeEnum *pass_type_enum = get_type_enum();
+  const NodeEnum *pass_mode_enum = get_mode_enum();
+
+  SOCKET_ENUM(type, "Type", *pass_type_enum, PASS_COMBINED);
+  SOCKET_ENUM(mode, "Mode", *pass_mode_enum, static_cast<int>(PassMode::DENOISED));
+  SOCKET_STRING(name, "Name", ustring());
+  SOCKET_BOOLEAN(include_albedo, "Include Albedo", false);
+
+  return type;
+}
+
+Pass::Pass() : Node(get_node_type()), is_auto_(false)
+{
+}
+
+PassInfo Pass::get_info() const
+{
+  return get_info(type, include_albedo);
+}
+
+bool Pass::is_written() const
+{
+  return get_info().is_written;
+}
+
+PassInfo Pass::get_info(const PassType type, const bool include_albedo)
+{
+  PassInfo pass_info;
+
+  pass_info.use_filter = true;
+  pass_info.use_exposure = false;
+  pass_info.divide_type = PASS_NONE;
+  pass_info.use_compositing = false;
+  pass_info.use_denoising_albedo = true;
+
+  switch (type) {
+    case PASS_NONE:
+      pass_info.num_components = 0;
+      break;
+    case PASS_COMBINED:
+      pass_info.num_components = 4;
+      pass_info.use_exposure = true;
+      pass_info.support_denoise = true;
+      break;
+    case PASS_DEPTH:
+      pass_info.num_components = 1;
+      pass_info.use_filter = false;
+      break;
+    case PASS_MIST:
+      pass_info.num_components = 1;
+      break;
+    case PASS_POSITION:
+      pass_info.num_components = 3;
+      break;
+    case PASS_NORMAL:
+      pass_info.num_components = 3;
+      break;
+    case PASS_ROUGHNESS:
+      pass_info.num_components = 1;
+      break;
+    case PASS_UV:
+      pass_info.num_components = 3;
+      break;
+    case PASS_MOTION:
+      pass_info.num_components = 4;
+      pass_info.divide_type = PASS_MOTION_WEIGHT;
+      break;
+    case PASS_MOTION_WEIGHT:
+      pass_info.num_components = 1;
+      break;
+    case PASS_OBJECT_ID:
+    case PASS_MATERIAL_ID:
+      pass_info.num_components = 1;
+      pass_info.use_filter = false;
+      break;
+
+    case PASS_EMISSION:
+    case PASS_BACKGROUND:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      break;
+    case PASS_AO:
+      pass_info.num_components = 3;
+      break;
+    case PASS_SHADOW:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = false;
+      break;
+
+    case PASS_DIFFUSE_COLOR:
+    case PASS_GLOSSY_COLOR:
+    case PASS_TRANSMISSION_COLOR:
+      pass_info.num_components = 3;
+      break;
+    case PASS_DIFFUSE:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.direct_type = PASS_DIFFUSE_DIRECT;
+      pass_info.indirect_type = PASS_DIFFUSE_INDIRECT;
+      pass_info.divide_type = (!include_albedo) ? PASS_DIFFUSE_COLOR : PASS_NONE;
+      pass_info.use_compositing = true;
+      pass_info.is_written = false;
+      break;
+    case PASS_DIFFUSE_DIRECT:
+    case PASS_DIFFUSE_INDIRECT:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.divide_type = (!include_albedo) ? PASS_DIFFUSE_COLOR : PASS_NONE;
+      pass_info.use_compositing = true;
+      break;
+    case PASS_GLOSSY:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.direct_type = PASS_GLOSSY_DIRECT;
+      pass_info.indirect_type = PASS_GLOSSY_INDIRECT;
+      pass_info.divide_type = (!include_albedo) ? PASS_GLOSSY_COLOR : PASS_NONE;
+      pass_info.use_compositing = true;
+      pass_info.is_written = false;
+      break;
+    case PASS_GLOSSY_DIRECT:
+    case PASS_GLOSSY_INDIRECT:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.divide_type = (!include_albedo) ? PASS_GLOSSY_COLOR : PASS_NONE;
+      pass_info.use_compositing = true;
+      break;
+    case PASS_TRANSMISSION:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.direct_type = PASS_TRANSMISSION_DIRECT;
+      pass_info.indirect_type = PASS_TRANSMISSION_INDIRECT;
+      pass_info.divide_type = (!include_albedo) ? PASS_TRANSMISSION_COLOR : PASS_NONE;
+      pass_info.use_compositing = true;
+      pass_info.is_written = false;
+      break;
+    case PASS_TRANSMISSION_DIRECT:
+    case PASS_TRANSMISSION_INDIRECT:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.divide_type = (!include_albedo) ? PASS_TRANSMISSION_COLOR : PASS_NONE;
+      pass_info.use_compositing = true;
+      break;
+    case PASS_VOLUME:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.direct_type = PASS_VOLUME_DIRECT;
+      pass_info.indirect_type = PASS_VOLUME_INDIRECT;
+      pass_info.use_compositing = true;
+      pass_info.is_written = false;
+      break;
+    case PASS_VOLUME_DIRECT:
+    case PASS_VOLUME_INDIRECT:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      break;
+
+    case PASS_CRYPTOMATTE:
+      pass_info.num_components = 4;
+      break;
+
+    case PASS_DENOISING_NORMAL:
+      pass_info.num_components = 3;
+      break;
+    case PASS_DENOISING_ALBEDO:
+      pass_info.num_components = 3;
+      break;
+    case PASS_DENOISING_DEPTH:
+      pass_info.num_components = 1;
+      break;
+
+    case PASS_SHADOW_CATCHER:
+      pass_info.num_components = 3;
+      pass_info.use_exposure = true;
+      pass_info.use_compositing = true;
+      pass_info.use_denoising_albedo = false;
+      pass_info.support_denoise = true;
+      break;
+    case PASS_SHADOW_CATCHER_SAMPLE_COUNT:
+      pass_info.num_components = 1;
+      break;
+    case PASS_SHADOW_CATCHER_MATTE:
+      pass_info.num_components = 4;
+      pass_info.use_exposure = true;
+      pass_info.support_denoise = true;
+      /* Without shadow catcher approximation compositing is not needed.
+       * Since we don't know here whether approximation is used or not, leave the decision up to
+       * the caller which will know that. */
+      break;
+
+    case PASS_ADAPTIVE_AUX_BUFFER:
+      pass_info.num_components = 4;
+      break;
+    case PASS_SAMPLE_COUNT:
+      pass_info.num_components = 1;
+      pass_info.use_exposure = false;
+      break;
+
+    case PASS_AOV_COLOR:
+      pass_info.num_components = 3;
+      break;
+    case PASS_AOV_VALUE:
+      pass_info.num_components = 1;
+      break;
+
+    case PASS_BAKE_PRIMITIVE:
+    case PASS_BAKE_DIFFERENTIAL:
+      pass_info.num_components = 4;
+      pass_info.use_exposure = false;
+      pass_info.use_filter = false;
+      break;
+
+    case PASS_CATEGORY_LIGHT_END:
+    case PASS_CATEGORY_DATA_END:
+    case PASS_CATEGORY_BAKE_END:
+    case PASS_NUM:
+      LOG(DFATAL) << "Unexpected pass type is used " << type;
+      pass_info.num_components = 0;
+      break;
+  }
+
+  return pass_info;
+}
+
+bool Pass::contains(const vector<Pass *> &passes, PassType type)
+{
+  for (const Pass *pass : passes) {
+    if (pass->get_type() != type) {
+      continue;
+    }
+
+    return true;
+  }
+
+  return false;
+}
+
+const Pass *Pass::find(const vector<Pass *> &passes, const string &name)
+{
+  for (const Pass *pass : passes) {
+    if (pass->get_name() == name) {
+      return pass;
+    }
+  }
+
+  return nullptr;
+}
+
+const Pass *Pass::find(const vector<Pass *> &passes, PassType type, PassMode mode)
+{
+  for (const Pass *pass : passes) {
+    if (pass->get_type() != type || pass->get_mode() != mode) {
+      continue;
+    }
+
+    return pass;
+  }
+
+  return nullptr;
+}
+
+int Pass::get_offset(const vector<Pass *> &passes, const Pass *pass)
+{
+  int pass_offset = 0;
+
+  for (const Pass *current_pass : passes) {
+    /* Note that pass name is allowed to be empty. This is why we check for type and mode. */
+    if (current_pass->get_type() == pass->get_type() &&
+        current_pass->get_mode() == pass->get_mode() &&
+        current_pass->get_name() == pass->get_name()) {
+      if (current_pass->is_written()) {
+        return pass_offset;
+      }
+      else {
+        return PASS_UNUSED;
+      }
+    }
+    if (current_pass->is_written()) {
+      pass_offset += current_pass->get_info().num_components;
+    }
+  }
+
+  return PASS_UNUSED;
+}
+
+std::ostream &operator<<(std::ostream &os, const Pass &pass)
+{
+  os << "type: " << pass_type_as_string(pass.get_type());
+  os << ", name: \"" << pass.get_name() << "\"";
+  os << ", mode: " << pass.get_mode();
+  os << ", is_written: " << string_from_bool(pass.is_written());
+
+  return os;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/pass.h b/intern/cycles/scene/pass.h
new file mode 100644
index 00000000000..82230c62cb0
--- /dev/null
+++ b/intern/cycles/scene/pass.h
@@ -0,0 +1,106 @@
+/*
+ * Copyright 2011-2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include <ostream>  // NOLINT
+
+#include "util/util_string.h"
+#include "util/util_vector.h"
+
+#include "kernel/kernel_types.h"
+
+#include "graph/node.h"
+
+CCL_NAMESPACE_BEGIN
+
+const char *pass_type_as_string(const PassType type);
+
+enum class PassMode {
+  NOISY,
+  DENOISED,
+};
+const char *pass_mode_as_string(PassMode mode);
+std::ostream &operator<<(std::ostream &os, PassMode mode);
+
+struct PassInfo {
+  int num_components = -1;
+  bool use_filter = false;
+  bool use_exposure = false;
+  bool is_written = true;
+  PassType divide_type = PASS_NONE;
+  PassType direct_type = PASS_NONE;
+  PassType indirect_type = PASS_NONE;
+
+  /* Pass access for read can not happen directly and needs some sort of compositing (for example,
+   * light passes due to divide_type, or shadow catcher pass. */
+  bool use_compositing = false;
+
+  /* Used to disable albedo pass for denoising.
+   * Light and shadow catcher passes should not have discontinuity in the denoised result based on
+   * the underlying albedo. */
+  bool use_denoising_albedo = true;
+
+  /* Pass supports denoising. */
+  bool support_denoise = false;
+};
+
+class Pass : public Node {
+ public:
+  NODE_DECLARE
+
+  NODE_SOCKET_API(PassType, type)
+  NODE_SOCKET_API(PassMode, mode)
+  NODE_SOCKET_API(ustring, name)
+  NODE_SOCKET_API(bool, include_albedo)
+
+  Pass();
+
+  PassInfo get_info() const;
+
+  /* The pass is written by the render pipeline (kernel or denoiser). If the pass is written it
+   * will have pixels allocated in a RenderBuffer. Passes which are not written do not have their
+   * pixels allocated to save memory. */
+  bool is_written() const;
+
+ protected:
+  /* The has been created automatically as a requirement to various rendering functionality (such
+   * as adaptive sampling). */
+  bool is_auto_;
+
+ public:
+  static const NodeEnum *get_type_enum();
+  static const NodeEnum *get_mode_enum();
+
+  static PassInfo get_info(PassType type, const bool include_albedo = false);
+
+  static bool contains(const vector<Pass *> &passes, PassType type);
+
+  /* Returns nullptr if there is no pass with the given name or type+mode. */
+  static const Pass *find(const vector<Pass *> &passes, const string &name);
+  static const Pass *find(const vector<Pass *> &passes,
+                          PassType type,
+                          PassMode mode = PassMode::NOISY);
+
+  /* Returns PASS_UNUSED if there is no corresponding pass. */
+  static int get_offset(const vector<Pass *> &passes, const Pass *pass);
+
+  friend class Film;
+};
+
+std::ostream &operator<<(std::ostream &os, const Pass &pass);
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/procedural.cpp b/intern/cycles/scene/procedural.cpp
new file mode 100644
index 00000000000..abfc6c62ad4
--- /dev/null
+++ b/intern/cycles/scene/procedural.cpp
@@ -0,0 +1,89 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "procedural.h"
+
+#include "scene/scene.h"
+#include "scene/stats.h"
+
+#include "util/util_foreach.h"
+#include "util/util_progress.h"
+
+CCL_NAMESPACE_BEGIN
+
+NODE_ABSTRACT_DEFINE(Procedural)
+{
+  NodeType *type = NodeType::add("procedural_base", NULL);
+  return type;
+}
+
+Procedural::Procedural(const NodeType *type) : Node(type)
+{
+}
+
+Procedural::~Procedural()
+{
+}
+
+ProceduralManager::ProceduralManager()
+{
+  need_update_ = true;
+}
+
+ProceduralManager::~ProceduralManager()
+{
+}
+
+void ProceduralManager::update(Scene *scene, Progress &progress)
+{
+  if (!need_update()) {
+    return;
+  }
+
+  progress.set_status("Updating Procedurals");
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->procedurals.times.add_entry({"update", time});
+    }
+  });
+
+  foreach (Procedural *procedural, scene->procedurals) {
+    if (progress.get_cancel()) {
+      return;
+    }
+
+    procedural->generate(scene, progress);
+  }
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  need_update_ = false;
+}
+
+void ProceduralManager::tag_update()
+{
+  need_update_ = true;
+}
+
+bool ProceduralManager::need_update() const
+{
+  return need_update_;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/procedural.h b/intern/cycles/scene/procedural.h
new file mode 100644
index 00000000000..985b8d69979
--- /dev/null
+++ b/intern/cycles/scene/procedural.h
@@ -0,0 +1,73 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "graph/node.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Progress;
+class Scene;
+
+/* A Procedural is a Node which can create other Nodes before rendering starts.
+ *
+ * The Procedural is supposed to be the owner of any nodes that it creates. It can also create
+ * Nodes directly in the Scene (through Scene.create_node), it should still be set as the owner of
+ * those Nodes.
+ */
+class Procedural : public Node, public NodeOwner {
+ public:
+  NODE_ABSTRACT_DECLARE
+
+  explicit Procedural(const NodeType *type);
+  virtual ~Procedural();
+
+  /* Called each time the ProceduralManager is tagged for an update, this function is the entry
+   * point for the data generated by this Procedural. */
+  virtual void generate(Scene *scene, Progress &progress) = 0;
+
+  /* Create a node and set this Procedural as the owner. */
+  template<typename T> T *create_node()
+  {
+    T *node = new T();
+    node->set_owner(this);
+    return node;
+  }
+
+  /* Delete a Node created and owned by this Procedural. */
+  template<typename T> void delete_node(T *node)
+  {
+    assert(node->get_owner() == this);
+    delete node;
+  }
+};
+
+class ProceduralManager {
+  bool need_update_;
+
+ public:
+  ProceduralManager();
+  ~ProceduralManager();
+
+  void update(Scene *scene, Progress &progress);
+
+  void tag_update();
+
+  bool need_update() const;
+};
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/scene.cpp b/intern/cycles/scene/scene.cpp
new file mode 100644
index 00000000000..bc5737ec126
--- /dev/null
+++ b/intern/cycles/scene/scene.cpp
@@ -0,0 +1,961 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <stdlib.h>
+
+#include "bvh/bvh.h"
+#include "device/device.h"
+#include "scene/alembic.h"
+#include "scene/background.h"
+#include "scene/bake.h"
+#include "scene/camera.h"
+#include "scene/curves.h"
+#include "scene/film.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/osl.h"
+#include "scene/particles.h"
+#include "scene/procedural.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/svm.h"
+#include "scene/tables.h"
+#include "scene/volume.h"
+#include "session/session.h"
+
+#include "util/util_foreach.h"
+#include "util/util_guarded_allocator.h"
+#include "util/util_logging.h"
+#include "util/util_progress.h"
+
+CCL_NAMESPACE_BEGIN
+
+DeviceScene::DeviceScene(Device *device)
+    : bvh_nodes(device, "__bvh_nodes", MEM_GLOBAL),
+      bvh_leaf_nodes(device, "__bvh_leaf_nodes", MEM_GLOBAL),
+      object_node(device, "__object_node", MEM_GLOBAL),
+      prim_type(device, "__prim_type", MEM_GLOBAL),
+      prim_visibility(device, "__prim_visibility", MEM_GLOBAL),
+      prim_index(device, "__prim_index", MEM_GLOBAL),
+      prim_object(device, "__prim_object", MEM_GLOBAL),
+      prim_time(device, "__prim_time", MEM_GLOBAL),
+      tri_verts(device, "__tri_verts", MEM_GLOBAL),
+      tri_shader(device, "__tri_shader", MEM_GLOBAL),
+      tri_vnormal(device, "__tri_vnormal", MEM_GLOBAL),
+      tri_vindex(device, "__tri_vindex", MEM_GLOBAL),
+      tri_patch(device, "__tri_patch", MEM_GLOBAL),
+      tri_patch_uv(device, "__tri_patch_uv", MEM_GLOBAL),
+      curves(device, "__curves", MEM_GLOBAL),
+      curve_keys(device, "__curve_keys", MEM_GLOBAL),
+      curve_segments(device, "__curve_segments", MEM_GLOBAL),
+      patches(device, "__patches", MEM_GLOBAL),
+      objects(device, "__objects", MEM_GLOBAL),
+      object_motion_pass(device, "__object_motion_pass", MEM_GLOBAL),
+      object_motion(device, "__object_motion", MEM_GLOBAL),
+      object_flag(device, "__object_flag", MEM_GLOBAL),
+      object_volume_step(device, "__object_volume_step", MEM_GLOBAL),
+      camera_motion(device, "__camera_motion", MEM_GLOBAL),
+      attributes_map(device, "__attributes_map", MEM_GLOBAL),
+      attributes_float(device, "__attributes_float", MEM_GLOBAL),
+      attributes_float2(device, "__attributes_float2", MEM_GLOBAL),
+      attributes_float3(device, "__attributes_float3", MEM_GLOBAL),
+      attributes_uchar4(device, "__attributes_uchar4", MEM_GLOBAL),
+      light_distribution(device, "__light_distribution", MEM_GLOBAL),
+      lights(device, "__lights", MEM_GLOBAL),
+      light_background_marginal_cdf(device, "__light_background_marginal_cdf", MEM_GLOBAL),
+      light_background_conditional_cdf(device, "__light_background_conditional_cdf", MEM_GLOBAL),
+      particles(device, "__particles", MEM_GLOBAL),
+      svm_nodes(device, "__svm_nodes", MEM_GLOBAL),
+      shaders(device, "__shaders", MEM_GLOBAL),
+      lookup_table(device, "__lookup_table", MEM_GLOBAL),
+      sample_pattern_lut(device, "__sample_pattern_lut", MEM_GLOBAL),
+      ies_lights(device, "__ies", MEM_GLOBAL)
+{
+  memset((void *)&data, 0, sizeof(data));
+}
+
+Scene::Scene(const SceneParams &params_, Device *device)
+    : name("Scene"),
+      bvh(NULL),
+      default_surface(NULL),
+      default_volume(NULL),
+      default_light(NULL),
+      default_background(NULL),
+      default_empty(NULL),
+      device(device),
+      dscene(device),
+      params(params_),
+      update_stats(NULL),
+      kernels_loaded(false),
+      /* TODO(sergey): Check if it's indeed optimal value for the split kernel. */
+      max_closure_global(1)
+{
+  memset((void *)&dscene.data, 0, sizeof(dscene.data));
+
+  /* OSL only works on the CPU */
+  if (device->info.has_osl)
+    shader_manager = ShaderManager::create(params.shadingsystem);
+  else
+    shader_manager = ShaderManager::create(SHADINGSYSTEM_SVM);
+
+  light_manager = new LightManager();
+  geometry_manager = new GeometryManager();
+  object_manager = new ObjectManager();
+  image_manager = new ImageManager(device->info);
+  particle_system_manager = new ParticleSystemManager();
+  bake_manager = new BakeManager();
+  procedural_manager = new ProceduralManager();
+
+  /* Create nodes after managers, since create_node() can tag the managers. */
+  camera = create_node<Camera>();
+  dicing_camera = create_node<Camera>();
+  lookup_tables = new LookupTables();
+  film = create_node<Film>();
+  background = create_node<Background>();
+  integrator = create_node<Integrator>();
+
+  film->add_default(this);
+  shader_manager->add_default(this);
+}
+
+Scene::~Scene()
+{
+  free_memory(true);
+}
+
+void Scene::free_memory(bool final)
+{
+  delete bvh;
+  bvh = NULL;
+
+  /* The order of deletion is important to make sure data is freed based on possible dependencies
+   * as the Nodes' reference counts are decremented in the destructors:
+   *
+   * - Procedurals can create and hold pointers to any other types.
+   * - Objects can hold pointers to Geometries and ParticleSystems
+   * - Lights and Geometries can hold pointers to Shaders.
+   *
+   * Similarly, we first delete all nodes and their associated device data, and then the managers
+   * and their associated device data.
+   */
+  foreach (Procedural *p, procedurals)
+    delete p;
+  foreach (Object *o, objects)
+    delete o;
+  foreach (Geometry *g, geometry)
+    delete g;
+  foreach (ParticleSystem *p, particle_systems)
+    delete p;
+  foreach (Light *l, lights)
+    delete l;
+  foreach (Pass *p, passes)
+    delete p;
+
+  geometry.clear();
+  objects.clear();
+  lights.clear();
+  particle_systems.clear();
+  procedurals.clear();
+  passes.clear();
+
+  if (device) {
+    camera->device_free(device, &dscene, this);
+    film->device_free(device, &dscene, this);
+    background->device_free(device, &dscene);
+    integrator->device_free(device, &dscene, true);
+  }
+
+  if (final) {
+    delete camera;
+    delete dicing_camera;
+    delete film;
+    delete background;
+    delete integrator;
+  }
+
+  /* Delete Shaders after every other nodes to ensure that we do not try to decrement the reference
+   * count on some dangling pointer. */
+  foreach (Shader *s, shaders)
+    delete s;
+
+  shaders.clear();
+
+  /* Now that all nodes have been deleted, we can safely delete managers and device data. */
+  if (device) {
+    object_manager->device_free(device, &dscene, true);
+    geometry_manager->device_free(device, &dscene, true);
+    shader_manager->device_free(device, &dscene, this);
+    light_manager->device_free(device, &dscene);
+
+    particle_system_manager->device_free(device, &dscene);
+
+    bake_manager->device_free(device, &dscene);
+
+    if (final)
+      image_manager->device_free(device);
+    else
+      image_manager->device_free_builtin(device);
+
+    lookup_tables->device_free(device, &dscene);
+  }
+
+  if (final) {
+    delete lookup_tables;
+    delete object_manager;
+    delete geometry_manager;
+    delete shader_manager;
+    delete light_manager;
+    delete particle_system_manager;
+    delete image_manager;
+    delete bake_manager;
+    delete update_stats;
+    delete procedural_manager;
+  }
+}
+
+void Scene::device_update(Device *device_, Progress &progress)
+{
+  if (!device)
+    device = device_;
+
+  bool print_stats = need_data_update();
+
+  if (update_stats) {
+    update_stats->clear();
+  }
+
+  scoped_callback_timer timer([this, print_stats](double time) {
+    if (update_stats) {
+      update_stats->scene.times.add_entry({"device_update", time});
+
+      if (print_stats) {
+        printf("Update statistics:\n%s\n", update_stats->full_report().c_str());
+      }
+    }
+  });
+
+  /* The order of updates is important, because there's dependencies between
+   * the different managers, using data computed by previous managers.
+   *
+   * - Image manager uploads images used by shaders.
+   * - Camera may be used for adaptive subdivision.
+   * - Displacement shader must have all shader data available.
+   * - Light manager needs lookup tables and final mesh data to compute emission CDF.
+   * - Lookup tables are done a second time to handle film tables
+   */
+
+  progress.set_status("Updating Shaders");
+  shader_manager->device_update(device, &dscene, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  procedural_manager->update(this, progress);
+
+  if (progress.get_cancel())
+    return;
+
+  progress.set_status("Updating Background");
+  background->device_update(device, &dscene, this);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Camera");
+  camera->device_update(device, &dscene, this);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  geometry_manager->device_update_preprocess(device, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Objects");
+  object_manager->device_update(device, &dscene, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Particle Systems");
+  particle_system_manager->device_update(device, &dscene, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Meshes");
+  geometry_manager->device_update(device, &dscene, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Objects Flags");
+  object_manager->device_update_flags(device, &dscene, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Images");
+  image_manager->device_update(device, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Camera Volume");
+  camera->device_update_volume(device, &dscene, this);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Lookup Tables");
+  lookup_tables->device_update(device, &dscene, this);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Lights");
+  light_manager->device_update(device, &dscene, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Integrator");
+  integrator->device_update(device, &dscene, this);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Film");
+  film->device_update(device, &dscene, this);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Lookup Tables");
+  lookup_tables->device_update(device, &dscene, this);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  progress.set_status("Updating Baking");
+  bake_manager->device_update(device, &dscene, this, progress);
+
+  if (progress.get_cancel() || device->have_error())
+    return;
+
+  if (device->have_error() == false) {
+    dscene.data.volume_stack_size = get_volume_stack_size();
+
+    progress.set_status("Updating Device", "Writing constant memory");
+    device->const_copy_to("__data", &dscene.data, sizeof(dscene.data));
+  }
+
+  if (print_stats) {
+    size_t mem_used = util_guarded_get_mem_used();
+    size_t mem_peak = util_guarded_get_mem_peak();
+
+    VLOG(1) << "System memory statistics after full device sync:\n"
+            << "  Usage: " << string_human_readable_number(mem_used) << " ("
+            << string_human_readable_size(mem_used) << ")\n"
+            << "  Peak: " << string_human_readable_number(mem_peak) << " ("
+            << string_human_readable_size(mem_peak) << ")";
+  }
+}
+
+Scene::MotionType Scene::need_motion()
+{
+  if (integrator->get_motion_blur())
+    return MOTION_BLUR;
+  else if (Pass::contains(passes, PASS_MOTION))
+    return MOTION_PASS;
+  else
+    return MOTION_NONE;
+}
+
+float Scene::motion_shutter_time()
+{
+  if (need_motion() == Scene::MOTION_PASS)
+    return 2.0f;
+  else
+    return camera->get_shuttertime();
+}
+
+bool Scene::need_global_attribute(AttributeStandard std)
+{
+  if (std == ATTR_STD_UV)
+    return Pass::contains(passes, PASS_UV);
+  else if (std == ATTR_STD_MOTION_VERTEX_POSITION)
+    return need_motion() != MOTION_NONE;
+  else if (std == ATTR_STD_MOTION_VERTEX_NORMAL)
+    return need_motion() == MOTION_BLUR;
+
+  return false;
+}
+
+void Scene::need_global_attributes(AttributeRequestSet &attributes)
+{
+  for (int std = ATTR_STD_NONE; std < ATTR_STD_NUM; std++)
+    if (need_global_attribute((AttributeStandard)std))
+      attributes.add((AttributeStandard)std);
+}
+
+bool Scene::need_update()
+{
+  return (need_reset() || film->is_modified());
+}
+
+bool Scene::need_data_update()
+{
+  return (background->is_modified() || image_manager->need_update() ||
+          object_manager->need_update() || geometry_manager->need_update() ||
+          light_manager->need_update() || lookup_tables->need_update() ||
+          integrator->is_modified() || shader_manager->need_update() ||
+          particle_system_manager->need_update() || bake_manager->need_update() ||
+          film->is_modified() || procedural_manager->need_update());
+}
+
+bool Scene::need_reset()
+{
+  return need_data_update() || camera->is_modified();
+}
+
+void Scene::reset()
+{
+  shader_manager->reset(this);
+  shader_manager->add_default(this);
+
+  /* ensure all objects are updated */
+  camera->tag_modified();
+  dicing_camera->tag_modified();
+  film->tag_modified();
+  background->tag_modified();
+
+  background->tag_update(this);
+  integrator->tag_update(this, Integrator::UPDATE_ALL);
+  object_manager->tag_update(this, ObjectManager::UPDATE_ALL);
+  geometry_manager->tag_update(this, GeometryManager::UPDATE_ALL);
+  light_manager->tag_update(this, LightManager::UPDATE_ALL);
+  particle_system_manager->tag_update(this);
+  procedural_manager->tag_update();
+}
+
+void Scene::device_free()
+{
+  free_memory(false);
+}
+
+void Scene::collect_statistics(RenderStats *stats)
+{
+  geometry_manager->collect_statistics(this, stats);
+  image_manager->collect_statistics(stats);
+}
+
+void Scene::enable_update_stats()
+{
+  if (!update_stats) {
+    update_stats = new SceneUpdateStats();
+  }
+}
+
+void Scene::update_kernel_features()
+{
+  if (!need_update()) {
+    return;
+  }
+
+  /* These features are not being tweaked as often as shaders,
+   * so could be done selective magic for the viewport as well. */
+  uint kernel_features = shader_manager->get_kernel_features(this);
+
+  bool use_motion = need_motion() == Scene::MotionType::MOTION_BLUR;
+  kernel_features |= KERNEL_FEATURE_PATH_TRACING;
+  if (params.hair_shape == CURVE_THICK) {
+    kernel_features |= KERNEL_FEATURE_HAIR_THICK;
+  }
+  if (use_motion && camera->use_motion()) {
+    kernel_features |= KERNEL_FEATURE_CAMERA_MOTION;
+  }
+  foreach (Object *object, objects) {
+    Geometry *geom = object->get_geometry();
+    if (use_motion) {
+      if (object->use_motion() || geom->get_use_motion_blur()) {
+        kernel_features |= KERNEL_FEATURE_OBJECT_MOTION;
+      }
+      if (geom->get_use_motion_blur()) {
+        kernel_features |= KERNEL_FEATURE_CAMERA_MOTION;
+      }
+    }
+    if (object->get_is_shadow_catcher()) {
+      kernel_features |= KERNEL_FEATURE_SHADOW_CATCHER;
+    }
+    if (geom->is_mesh()) {
+      Mesh *mesh = static_cast<Mesh *>(geom);
+#ifdef WITH_OPENSUBDIV
+      if (mesh->get_subdivision_type() != Mesh::SUBDIVISION_NONE) {
+        kernel_features |= KERNEL_FEATURE_PATCH_EVALUATION;
+      }
+#endif
+    }
+    else if (geom->is_hair()) {
+      kernel_features |= KERNEL_FEATURE_HAIR;
+    }
+  }
+
+  if (bake_manager->get_baking()) {
+    kernel_features |= KERNEL_FEATURE_BAKING;
+  }
+
+  kernel_features |= film->get_kernel_features(this);
+  kernel_features |= integrator->get_kernel_features();
+
+  dscene.data.kernel_features = kernel_features;
+
+  /* Currently viewport render is faster with higher max_closures, needs investigating. */
+  const uint max_closures = (params.background) ? get_max_closure_count() : MAX_CLOSURE;
+  dscene.data.max_closures = max_closures;
+  dscene.data.max_shaders = shaders.size();
+}
+
+bool Scene::update(Progress &progress)
+{
+  if (!need_update()) {
+    return false;
+  }
+
+  /* Load render kernels, before device update where we upload data to the GPU. */
+  load_kernels(progress, false);
+
+  /* Upload scene data to the GPU. */
+  progress.set_status("Updating Scene");
+  MEM_GUARDED_CALL(&progress, device_update, device, progress);
+
+  return true;
+}
+
+static void log_kernel_features(const uint features)
+{
+  VLOG(2) << "Requested features:\n";
+  VLOG(2) << "Use BSDF " << string_from_bool(features & KERNEL_FEATURE_NODE_BSDF) << "\n";
+  VLOG(2) << "Use Principled BSDF " << string_from_bool(features & KERNEL_FEATURE_PRINCIPLED)
+          << "\n";
+  VLOG(2) << "Use Emission " << string_from_bool(features & KERNEL_FEATURE_NODE_EMISSION) << "\n";
+  VLOG(2) << "Use Volume " << string_from_bool(features & KERNEL_FEATURE_NODE_VOLUME) << "\n";
+  VLOG(2) << "Use Hair " << string_from_bool(features & KERNEL_FEATURE_NODE_HAIR) << "\n";
+  VLOG(2) << "Use Bump " << string_from_bool(features & KERNEL_FEATURE_NODE_BUMP) << "\n";
+  VLOG(2) << "Use Voronoi " << string_from_bool(features & KERNEL_FEATURE_NODE_VORONOI_EXTRA)
+          << "\n";
+  VLOG(2) << "Use Shader Raytrace " << string_from_bool(features & KERNEL_FEATURE_NODE_RAYTRACE)
+          << "\n";
+  VLOG(2) << "Use Transparent " << string_from_bool(features & KERNEL_FEATURE_TRANSPARENT) << "\n";
+  VLOG(2) << "Use Denoising " << string_from_bool(features & KERNEL_FEATURE_DENOISING) << "\n";
+  VLOG(2) << "Use Path Tracing " << string_from_bool(features & KERNEL_FEATURE_PATH_TRACING)
+          << "\n";
+  VLOG(2) << "Use Hair " << string_from_bool(features & KERNEL_FEATURE_HAIR) << "\n";
+  VLOG(2) << "Use Object Motion " << string_from_bool(features & KERNEL_FEATURE_OBJECT_MOTION)
+          << "\n";
+  VLOG(2) << "Use Camera Motion " << string_from_bool(features & KERNEL_FEATURE_CAMERA_MOTION)
+          << "\n";
+  VLOG(2) << "Use Baking " << string_from_bool(features & KERNEL_FEATURE_BAKING) << "\n";
+  VLOG(2) << "Use Subsurface " << string_from_bool(features & KERNEL_FEATURE_SUBSURFACE) << "\n";
+  VLOG(2) << "Use Volume " << string_from_bool(features & KERNEL_FEATURE_VOLUME) << "\n";
+  VLOG(2) << "Use Patch Evaluation "
+          << string_from_bool(features & KERNEL_FEATURE_PATCH_EVALUATION) << "\n";
+  VLOG(2) << "Use Shadow Catcher " << string_from_bool(features & KERNEL_FEATURE_SHADOW_CATCHER)
+          << "\n";
+}
+
+bool Scene::load_kernels(Progress &progress, bool lock_scene)
+{
+  thread_scoped_lock scene_lock;
+  if (lock_scene) {
+    scene_lock = thread_scoped_lock(mutex);
+  }
+
+  update_kernel_features();
+
+  const uint kernel_features = dscene.data.kernel_features;
+
+  if (!kernels_loaded || loaded_kernel_features != kernel_features) {
+    progress.set_status("Loading render kernels (may take a few minutes the first time)");
+
+    scoped_timer timer;
+
+    log_kernel_features(kernel_features);
+    if (!device->load_kernels(kernel_features)) {
+      string message = device->error_message();
+      if (message.empty())
+        message = "Failed loading render kernel, see console for errors";
+
+      progress.set_error(message);
+      progress.set_status(message);
+      progress.set_update();
+      return false;
+    }
+
+    kernels_loaded = true;
+    loaded_kernel_features = kernel_features;
+    return true;
+  }
+  return false;
+}
+
+int Scene::get_max_closure_count()
+{
+  if (shader_manager->use_osl()) {
+    /* OSL always needs the maximum as we can't predict the
+     * number of closures a shader might generate. */
+    return MAX_CLOSURE;
+  }
+
+  int max_closures = 0;
+  for (int i = 0; i < shaders.size(); i++) {
+    Shader *shader = shaders[i];
+    if (shader->reference_count()) {
+      int num_closures = shader->graph->get_num_closures();
+      max_closures = max(max_closures, num_closures);
+    }
+  }
+  max_closure_global = max(max_closure_global, max_closures);
+
+  if (max_closure_global > MAX_CLOSURE) {
+    /* This is usually harmless as more complex shader tend to get many
+     * closures discarded due to mixing or low weights. We need to limit
+     * to MAX_CLOSURE as this is hardcoded in CPU/mega kernels, and it
+     * avoids excessive memory usage for split kernels. */
+    VLOG(2) << "Maximum number of closures exceeded: " << max_closure_global << " > "
+            << MAX_CLOSURE;
+
+    max_closure_global = MAX_CLOSURE;
+  }
+
+  return max_closure_global;
+}
+
+int Scene::get_volume_stack_size() const
+{
+  int volume_stack_size = 0;
+
+  /* Space for background volume and terminator.
+   * Don't do optional here because camera ray initialization expects that there is space for
+   * at least those elements (avoiding extra condition to check if there is actual volume or not).
+   */
+  volume_stack_size += 2;
+
+  /* Quick non-expensive check. Can over-estimate maximum possible nested level, but does not
+   * require expensive calculation during pre-processing. */
+  bool has_volume_object = false;
+  for (const Object *object : objects) {
+    if (!object->get_geometry()->has_volume) {
+      continue;
+    }
+
+    if (object->intersects_volume) {
+      /* Object intersects another volume, assume it's possible to go deeper in the stack. */
+      /* TODO(sergey): This might count nesting twice (A intersects B and B intersects A), but
+       * can't think of a computationally cheap algorithm. Dividing my 2 doesn't work because of
+       * Venn diagram example with 3 circles. */
+      ++volume_stack_size;
+    }
+    else if (!has_volume_object) {
+      /* Allocate space for at least one volume object. */
+      ++volume_stack_size;
+    }
+
+    has_volume_object = true;
+
+    if (volume_stack_size == MAX_VOLUME_STACK_SIZE) {
+      break;
+    }
+  }
+
+  volume_stack_size = min(volume_stack_size, MAX_VOLUME_STACK_SIZE);
+
+  VLOG(3) << "Detected required volume stack size " << volume_stack_size;
+
+  return volume_stack_size;
+}
+
+bool Scene::has_shadow_catcher()
+{
+  if (shadow_catcher_modified_) {
+    has_shadow_catcher_ = false;
+    for (Object *object : objects) {
+      if (object->get_is_shadow_catcher()) {
+        has_shadow_catcher_ = true;
+        break;
+      }
+    }
+
+    shadow_catcher_modified_ = false;
+  }
+
+  return has_shadow_catcher_;
+}
+
+void Scene::tag_shadow_catcher_modified()
+{
+  shadow_catcher_modified_ = true;
+}
+
+template<> Light *Scene::create_node<Light>()
+{
+  Light *node = new Light();
+  node->set_owner(this);
+  lights.push_back(node);
+  light_manager->tag_update(this, LightManager::LIGHT_ADDED);
+  return node;
+}
+
+template<> Mesh *Scene::create_node<Mesh>()
+{
+  Mesh *node = new Mesh();
+  node->set_owner(this);
+  geometry.push_back(node);
+  geometry_manager->tag_update(this, GeometryManager::MESH_ADDED);
+  return node;
+}
+
+template<> Hair *Scene::create_node<Hair>()
+{
+  Hair *node = new Hair();
+  node->set_owner(this);
+  geometry.push_back(node);
+  geometry_manager->tag_update(this, GeometryManager::HAIR_ADDED);
+  return node;
+}
+
+template<> Volume *Scene::create_node<Volume>()
+{
+  Volume *node = new Volume();
+  node->set_owner(this);
+  geometry.push_back(node);
+  geometry_manager->tag_update(this, GeometryManager::MESH_ADDED);
+  return node;
+}
+
+template<> Object *Scene::create_node<Object>()
+{
+  Object *node = new Object();
+  node->set_owner(this);
+  objects.push_back(node);
+  object_manager->tag_update(this, ObjectManager::OBJECT_ADDED);
+  return node;
+}
+
+template<> ParticleSystem *Scene::create_node<ParticleSystem>()
+{
+  ParticleSystem *node = new ParticleSystem();
+  node->set_owner(this);
+  particle_systems.push_back(node);
+  particle_system_manager->tag_update(this);
+  return node;
+}
+
+template<> Shader *Scene::create_node<Shader>()
+{
+  Shader *node = new Shader();
+  node->set_owner(this);
+  shaders.push_back(node);
+  shader_manager->tag_update(this, ShaderManager::SHADER_ADDED);
+  return node;
+}
+
+template<> AlembicProcedural *Scene::create_node<AlembicProcedural>()
+{
+#ifdef WITH_ALEMBIC
+  AlembicProcedural *node = new AlembicProcedural();
+  node->set_owner(this);
+  procedurals.push_back(node);
+  procedural_manager->tag_update();
+  return node;
+#else
+  return nullptr;
+#endif
+}
+
+template<> Pass *Scene::create_node<Pass>()
+{
+  Pass *node = new Pass();
+  node->set_owner(this);
+  passes.push_back(node);
+  film->tag_modified();
+  return node;
+}
+
+template<typename T> void delete_node_from_array(vector<T> &nodes, T node)
+{
+  for (size_t i = 0; i < nodes.size(); ++i) {
+    if (nodes[i] == node) {
+      std::swap(nodes[i], nodes[nodes.size() - 1]);
+      break;
+    }
+  }
+
+  nodes.resize(nodes.size() - 1);
+
+  delete node;
+}
+
+template<> void Scene::delete_node_impl(Light *node)
+{
+  delete_node_from_array(lights, node);
+  light_manager->tag_update(this, LightManager::LIGHT_REMOVED);
+}
+
+template<> void Scene::delete_node_impl(Mesh *node)
+{
+  delete_node_from_array(geometry, static_cast<Geometry *>(node));
+  geometry_manager->tag_update(this, GeometryManager::MESH_REMOVED);
+}
+
+template<> void Scene::delete_node_impl(Hair *node)
+{
+  delete_node_from_array(geometry, static_cast<Geometry *>(node));
+  geometry_manager->tag_update(this, GeometryManager::HAIR_REMOVED);
+}
+
+template<> void Scene::delete_node_impl(Volume *node)
+{
+  delete_node_from_array(geometry, static_cast<Geometry *>(node));
+  geometry_manager->tag_update(this, GeometryManager::MESH_REMOVED);
+}
+
+template<> void Scene::delete_node_impl(Geometry *node)
+{
+  uint flag;
+  if (node->is_hair()) {
+    flag = GeometryManager::HAIR_REMOVED;
+  }
+  else {
+    flag = GeometryManager::MESH_REMOVED;
+  }
+
+  delete_node_from_array(geometry, node);
+  geometry_manager->tag_update(this, flag);
+}
+
+template<> void Scene::delete_node_impl(Object *node)
+{
+  delete_node_from_array(objects, node);
+  object_manager->tag_update(this, ObjectManager::OBJECT_REMOVED);
+}
+
+template<> void Scene::delete_node_impl(ParticleSystem *node)
+{
+  delete_node_from_array(particle_systems, node);
+  particle_system_manager->tag_update(this);
+}
+
+template<> void Scene::delete_node_impl(Shader *shader)
+{
+  /* don't delete unused shaders, not supported */
+  shader->clear_reference_count();
+}
+
+template<> void Scene::delete_node_impl(Procedural *node)
+{
+  delete_node_from_array(procedurals, node);
+  procedural_manager->tag_update();
+}
+
+template<> void Scene::delete_node_impl(AlembicProcedural *node)
+{
+#ifdef WITH_ALEMBIC
+  delete_node_impl(static_cast<Procedural *>(node));
+#else
+  (void)node;
+#endif
+}
+
+template<> void Scene::delete_node_impl(Pass *node)
+{
+  delete_node_from_array(passes, node);
+  film->tag_modified();
+}
+
+template<typename T>
+static void remove_nodes_in_set(const set<T *> &nodes_set,
+                                vector<T *> &nodes_array,
+                                const NodeOwner *owner)
+{
+  size_t new_size = nodes_array.size();
+
+  for (size_t i = 0; i < new_size; ++i) {
+    T *node = nodes_array[i];
+
+    if (nodes_set.find(node) != nodes_set.end()) {
+      std::swap(nodes_array[i], nodes_array[new_size - 1]);
+
+      assert(node->get_owner() == owner);
+      delete node;
+
+      i -= 1;
+      new_size -= 1;
+    }
+  }
+
+  nodes_array.resize(new_size);
+  (void)owner;
+}
+
+template<> void Scene::delete_nodes(const set<Light *> &nodes, const NodeOwner *owner)
+{
+  remove_nodes_in_set(nodes, lights, owner);
+  light_manager->tag_update(this, LightManager::LIGHT_REMOVED);
+}
+
+template<> void Scene::delete_nodes(const set<Geometry *> &nodes, const NodeOwner *owner)
+{
+  remove_nodes_in_set(nodes, geometry, owner);
+  geometry_manager->tag_update(this, GeometryManager::GEOMETRY_REMOVED);
+}
+
+template<> void Scene::delete_nodes(const set<Object *> &nodes, const NodeOwner *owner)
+{
+  remove_nodes_in_set(nodes, objects, owner);
+  object_manager->tag_update(this, ObjectManager::OBJECT_REMOVED);
+}
+
+template<> void Scene::delete_nodes(const set<ParticleSystem *> &nodes, const NodeOwner *owner)
+{
+  remove_nodes_in_set(nodes, particle_systems, owner);
+  particle_system_manager->tag_update(this);
+}
+
+template<> void Scene::delete_nodes(const set<Shader *> &nodes, const NodeOwner * /*owner*/)
+{
+  /* don't delete unused shaders, not supported */
+  for (Shader *shader : nodes) {
+    shader->clear_reference_count();
+  }
+}
+
+template<> void Scene::delete_nodes(const set<Procedural *> &nodes, const NodeOwner *owner)
+{
+  remove_nodes_in_set(nodes, procedurals, owner);
+  procedural_manager->tag_update();
+}
+
+template<> void Scene::delete_nodes(const set<Pass *> &nodes, const NodeOwner *owner)
+{
+  remove_nodes_in_set(nodes, passes, owner);
+  film->tag_modified();
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/scene.h b/intern/cycles/scene/scene.h
new file mode 100644
index 00000000000..9b2502c9361
--- /dev/null
+++ b/intern/cycles/scene/scene.h
@@ -0,0 +1,412 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __SCENE_H__
+#define __SCENE_H__
+
+#include "bvh/bvh_params.h"
+
+#include "scene/film.h"
+#include "scene/image.h"
+#include "scene/shader.h"
+
+#include "device/device.h"
+#include "device/device_memory.h"
+
+#include "util/util_param.h"
+#include "util/util_string.h"
+#include "util/util_system.h"
+#include "util/util_texture.h"
+#include "util/util_thread.h"
+#include "util/util_types.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class AlembicProcedural;
+class AttributeRequestSet;
+class Background;
+class BVH;
+class Camera;
+class Device;
+class DeviceInfo;
+class Film;
+class Integrator;
+class Light;
+class LightManager;
+class LookupTables;
+class Geometry;
+class GeometryManager;
+class Object;
+class ObjectManager;
+class ParticleSystemManager;
+class ParticleSystem;
+class Procedural;
+class ProceduralManager;
+class CurveSystemManager;
+class Shader;
+class ShaderManager;
+class Progress;
+class BakeManager;
+class BakeData;
+class RenderStats;
+class SceneUpdateStats;
+class Volume;
+
+/* Scene Device Data */
+
+class DeviceScene {
+ public:
+  /* BVH */
+  device_vector<int4> bvh_nodes;
+  device_vector<int4> bvh_leaf_nodes;
+  device_vector<int> object_node;
+  device_vector<int> prim_type;
+  device_vector<uint> prim_visibility;
+  device_vector<int> prim_index;
+  device_vector<int> prim_object;
+  device_vector<float2> prim_time;
+
+  /* mesh */
+  device_vector<float4> tri_verts;
+  device_vector<uint> tri_shader;
+  device_vector<float4> tri_vnormal;
+  device_vector<uint4> tri_vindex;
+  device_vector<uint> tri_patch;
+  device_vector<float2> tri_patch_uv;
+
+  device_vector<KernelCurve> curves;
+  device_vector<float4> curve_keys;
+  device_vector<KernelCurveSegment> curve_segments;
+
+  device_vector<uint> patches;
+
+  /* objects */
+  device_vector<KernelObject> objects;
+  device_vector<Transform> object_motion_pass;
+  device_vector<DecomposedTransform> object_motion;
+  device_vector<uint> object_flag;
+  device_vector<float> object_volume_step;
+
+  /* cameras */
+  device_vector<DecomposedTransform> camera_motion;
+
+  /* attributes */
+  device_vector<uint4> attributes_map;
+  device_vector<float> attributes_float;
+  device_vector<float2> attributes_float2;
+  device_vector<float4> attributes_float3;
+  device_vector<uchar4> attributes_uchar4;
+
+  /* lights */
+  device_vector<KernelLightDistribution> light_distribution;
+  device_vector<KernelLight> lights;
+  device_vector<float2> light_background_marginal_cdf;
+  device_vector<float2> light_background_conditional_cdf;
+
+  /* particles */
+  device_vector<KernelParticle> particles;
+
+  /* shaders */
+  device_vector<int4> svm_nodes;
+  device_vector<KernelShader> shaders;
+
+  /* lookup tables */
+  device_vector<float> lookup_table;
+
+  /* integrator */
+  device_vector<float> sample_pattern_lut;
+
+  /* ies lights */
+  device_vector<float> ies_lights;
+
+  KernelData data;
+
+  DeviceScene(Device *device);
+};
+
+/* Scene Parameters */
+
+class SceneParams {
+ public:
+  ShadingSystem shadingsystem;
+
+  /* Requested BVH layout.
+   *
+   * If it's not supported by the device, the widest one from supported ones
+   * will be used, but BVH wider than this one will never be used.
+   */
+  BVHLayout bvh_layout;
+
+  BVHType bvh_type;
+  bool use_bvh_spatial_split;
+  bool use_bvh_unaligned_nodes;
+  int num_bvh_time_steps;
+  int hair_subdivisions;
+  CurveShapeType hair_shape;
+  int texture_limit;
+
+  bool background;
+
+  SceneParams()
+  {
+    shadingsystem = SHADINGSYSTEM_SVM;
+    bvh_layout = BVH_LAYOUT_BVH2;
+    bvh_type = BVH_TYPE_DYNAMIC;
+    use_bvh_spatial_split = false;
+    use_bvh_unaligned_nodes = true;
+    num_bvh_time_steps = 0;
+    hair_subdivisions = 3;
+    hair_shape = CURVE_RIBBON;
+    texture_limit = 0;
+    background = true;
+  }
+
+  bool modified(const SceneParams &params) const
+  {
+    return !(shadingsystem == params.shadingsystem && bvh_layout == params.bvh_layout &&
+             bvh_type == params.bvh_type &&
+             use_bvh_spatial_split == params.use_bvh_spatial_split &&
+             use_bvh_unaligned_nodes == params.use_bvh_unaligned_nodes &&
+             num_bvh_time_steps == params.num_bvh_time_steps &&
+             hair_subdivisions == params.hair_subdivisions && hair_shape == params.hair_shape &&
+             texture_limit == params.texture_limit);
+  }
+
+  int curve_subdivisions()
+  {
+    /* Matching the tessellation rate limit in Embree. */
+    return clamp(1 << hair_subdivisions, 1, 16);
+  }
+};
+
+/* Scene */
+
+class Scene : public NodeOwner {
+ public:
+  /* Optional name. Is used for logging and reporting. */
+  string name;
+
+  /* data */
+  BVH *bvh;
+  Camera *camera;
+  Camera *dicing_camera;
+  LookupTables *lookup_tables;
+  Film *film;
+  Background *background;
+  Integrator *integrator;
+
+  /* data lists */
+  vector<Object *> objects;
+  vector<Geometry *> geometry;
+  vector<Shader *> shaders;
+  vector<Light *> lights;
+  vector<ParticleSystem *> particle_systems;
+  vector<Pass *> passes;
+  vector<Procedural *> procedurals;
+
+  /* data managers */
+  ImageManager *image_manager;
+  LightManager *light_manager;
+  ShaderManager *shader_manager;
+  GeometryManager *geometry_manager;
+  ObjectManager *object_manager;
+  ParticleSystemManager *particle_system_manager;
+  BakeManager *bake_manager;
+  ProceduralManager *procedural_manager;
+
+  /* default shaders */
+  Shader *default_surface;
+  Shader *default_volume;
+  Shader *default_light;
+  Shader *default_background;
+  Shader *default_empty;
+
+  /* device */
+  Device *device;
+  DeviceScene dscene;
+
+  /* parameters */
+  SceneParams params;
+
+  /* mutex must be locked manually by callers */
+  thread_mutex mutex;
+
+  /* scene update statistics */
+  SceneUpdateStats *update_stats;
+
+  Scene(const SceneParams &params, Device *device);
+  ~Scene();
+
+  void device_update(Device *device, Progress &progress);
+
+  bool need_global_attribute(AttributeStandard std);
+  void need_global_attributes(AttributeRequestSet &attributes);
+
+  enum MotionType { MOTION_NONE = 0, MOTION_PASS, MOTION_BLUR };
+  MotionType need_motion();
+  float motion_shutter_time();
+
+  bool need_update();
+  bool need_reset();
+
+  void reset();
+  void device_free();
+
+  void collect_statistics(RenderStats *stats);
+
+  void enable_update_stats();
+
+  bool update(Progress &progress);
+
+  bool has_shadow_catcher();
+  void tag_shadow_catcher_modified();
+
+  /* This function is used to create a node of a specified type instead of
+   * calling 'new', and sets the scene as the owner of the node.
+   * The function has overloads that will also add the created node to the right
+   * node array (e.g. Scene::geometry for Geometry nodes) and tag the appropriate
+   * manager for an update.
+   */
+  template<typename T, typename... Args> T *create_node(Args &&...args)
+  {
+    T *node = new T(args...);
+    node->set_owner(this);
+    return node;
+  }
+
+  /* This function is used to delete a node from the scene instead of calling 'delete'
+   * and manually removing the node from the data array. It also tags the
+   * appropriate manager for an update, if any, and checks that the scene is indeed
+   * the owner of the node. Calling this function on a node not owned by the scene
+   * will likely cause a crash which we want in order to detect such cases.
+   */
+  template<typename T> void delete_node(T *node)
+  {
+    assert(node->get_owner() == this);
+    delete_node_impl(node);
+  }
+
+  /* Same as above, but specify the actual owner.
+   */
+  template<typename T> void delete_node(T *node, const NodeOwner *owner)
+  {
+    assert(node->get_owner() == owner);
+    delete_node_impl(node);
+    (void)owner;
+  }
+
+  /* Remove all nodes in the set from the appropriate data arrays, and tag the
+   * specific managers for an update. This assumes that the scene owns the nodes.
+   */
+  template<typename T> void delete_nodes(const set<T *> &nodes)
+  {
+    delete_nodes(nodes, this);
+  }
+
+  /* Same as above, but specify the actual owner of all the nodes in the set.
+   */
+  template<typename T> void delete_nodes(const set<T *> &nodes, const NodeOwner *owner);
+
+ protected:
+  /* Check if some heavy data worth logging was updated.
+   * Mainly used to suppress extra annoying logging.
+   */
+  bool need_data_update();
+
+  void free_memory(bool final);
+
+  bool kernels_loaded;
+  uint loaded_kernel_features;
+
+  void update_kernel_features();
+  bool load_kernels(Progress &progress, bool lock_scene = true);
+
+  bool has_shadow_catcher_ = false;
+  bool shadow_catcher_modified_ = true;
+
+  /* Maximum number of closure during session lifetime. */
+  int max_closure_global;
+
+  /* Get maximum number of closures to be used in kernel. */
+  int get_max_closure_count();
+
+  /* Get size of a volume stack needed to render this scene.  */
+  int get_volume_stack_size() const;
+
+  template<typename T> void delete_node_impl(T *node)
+  {
+    delete node;
+  }
+};
+
+template<> Light *Scene::create_node<Light>();
+
+template<> Mesh *Scene::create_node<Mesh>();
+
+template<> Object *Scene::create_node<Object>();
+
+template<> Hair *Scene::create_node<Hair>();
+
+template<> Volume *Scene::create_node<Volume>();
+
+template<> ParticleSystem *Scene::create_node<ParticleSystem>();
+
+template<> Shader *Scene::create_node<Shader>();
+
+template<> AlembicProcedural *Scene::create_node<AlembicProcedural>();
+
+template<> Pass *Scene::create_node<Pass>();
+
+template<> void Scene::delete_node_impl(Light *node);
+
+template<> void Scene::delete_node_impl(Mesh *node);
+
+template<> void Scene::delete_node_impl(Volume *node);
+
+template<> void Scene::delete_node_impl(Hair *node);
+
+template<> void Scene::delete_node_impl(Geometry *node);
+
+template<> void Scene::delete_node_impl(Object *node);
+
+template<> void Scene::delete_node_impl(ParticleSystem *node);
+
+template<> void Scene::delete_node_impl(Shader *node);
+
+template<> void Scene::delete_node_impl(Procedural *node);
+
+template<> void Scene::delete_node_impl(AlembicProcedural *node);
+
+template<> void Scene::delete_node_impl(Pass *node);
+
+template<> void Scene::delete_nodes(const set<Light *> &nodes, const NodeOwner *owner);
+
+template<> void Scene::delete_nodes(const set<Geometry *> &nodes, const NodeOwner *owner);
+
+template<> void Scene::delete_nodes(const set<Object *> &nodes, const NodeOwner *owner);
+
+template<> void Scene::delete_nodes(const set<ParticleSystem *> &nodes, const NodeOwner *owner);
+
+template<> void Scene::delete_nodes(const set<Shader *> &nodes, const NodeOwner *owner);
+
+template<> void Scene::delete_nodes(const set<Procedural *> &nodes, const NodeOwner *owner);
+
+template<> void Scene::delete_nodes(const set<Pass *> &nodes, const NodeOwner *owner);
+
+CCL_NAMESPACE_END
+
+#endif /*  __SCENE_H__ */
diff --git a/intern/cycles/scene/shader.cpp b/intern/cycles/scene/shader.cpp
new file mode 100644
index 00000000000..6b464a77401
--- /dev/null
+++ b/intern/cycles/scene/shader.cpp
@@ -0,0 +1,876 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "device/device.h"
+
+#include "scene/background.h"
+#include "scene/camera.h"
+#include "scene/colorspace.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/osl.h"
+#include "scene/procedural.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
+#include "scene/svm.h"
+#include "scene/tables.h"
+
+#include "util/util_foreach.h"
+#include "util/util_murmurhash.h"
+#include "util/util_task.h"
+#include "util/util_transform.h"
+
+#ifdef WITH_OCIO
+#  include <OpenColorIO/OpenColorIO.h>
+namespace OCIO = OCIO_NAMESPACE;
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+thread_mutex ShaderManager::lookup_table_mutex;
+vector<float> ShaderManager::beckmann_table;
+bool ShaderManager::beckmann_table_ready = false;
+
+/* Beckmann sampling precomputed table, see bsdf_microfacet.h */
+
+/* 2D slope distribution (alpha = 1.0) */
+static float beckmann_table_P22(const float slope_x, const float slope_y)
+{
+  return expf(-(slope_x * slope_x + slope_y * slope_y));
+}
+
+/* maximal slope amplitude (range that contains 99.99% of the distribution) */
+static float beckmann_table_slope_max()
+{
+  return 6.0;
+}
+
+/* MSVC 2015 needs this ugly hack to prevent a codegen bug on x86
+ * see T50176 for details
+ */
+#if defined(_MSC_VER) && (_MSC_VER == 1900)
+#  define MSVC_VOLATILE volatile
+#else
+#  define MSVC_VOLATILE
+#endif
+
+/* Paper used: Importance Sampling Microfacet-Based BSDFs with the
+ * Distribution of Visible Normals. Supplemental Material 2/2.
+ *
+ * http://hal.inria.fr/docs/01/00/66/20/ANNEX/supplemental2.pdf
+ */
+static void beckmann_table_rows(float *table, int row_from, int row_to)
+{
+  /* allocate temporary data */
+  const int DATA_TMP_SIZE = 512;
+  vector<double> slope_x(DATA_TMP_SIZE);
+  vector<double> CDF_P22_omega_i(DATA_TMP_SIZE);
+
+  /* loop over incident directions */
+  for (int index_theta = row_from; index_theta < row_to; index_theta++) {
+    /* incident vector */
+    const float cos_theta = index_theta / (BECKMANN_TABLE_SIZE - 1.0f);
+    const float sin_theta = safe_sqrtf(1.0f - cos_theta * cos_theta);
+
+    /* for a given incident vector
+     * integrate P22_{omega_i}(x_slope, 1, 1), Eq. (10) */
+    slope_x[0] = (double)-beckmann_table_slope_max();
+    CDF_P22_omega_i[0] = 0;
+
+    for (MSVC_VOLATILE int index_slope_x = 1; index_slope_x < DATA_TMP_SIZE; ++index_slope_x) {
+      /* slope_x */
+      slope_x[index_slope_x] = (double)(-beckmann_table_slope_max() +
+                                        2.0f * beckmann_table_slope_max() * index_slope_x /
+                                            (DATA_TMP_SIZE - 1.0f));
+
+      /* dot product with incident vector */
+      float dot_product = fmaxf(0.0f, -(float)slope_x[index_slope_x] * sin_theta + cos_theta);
+      /* marginalize P22_{omega_i}(x_slope, 1, 1), Eq. (10) */
+      float P22_omega_i = 0.0f;
+
+      for (int j = 0; j < 100; ++j) {
+        float slope_y = -beckmann_table_slope_max() +
+                        2.0f * beckmann_table_slope_max() * j * (1.0f / 99.0f);
+        P22_omega_i += dot_product * beckmann_table_P22((float)slope_x[index_slope_x], slope_y);
+      }
+
+      /* CDF of P22_{omega_i}(x_slope, 1, 1), Eq. (10) */
+      CDF_P22_omega_i[index_slope_x] = CDF_P22_omega_i[index_slope_x - 1] + (double)P22_omega_i;
+    }
+
+    /* renormalize CDF_P22_omega_i */
+    for (int index_slope_x = 1; index_slope_x < DATA_TMP_SIZE; ++index_slope_x)
+      CDF_P22_omega_i[index_slope_x] /= CDF_P22_omega_i[DATA_TMP_SIZE - 1];
+
+    /* loop over random number U1 */
+    int index_slope_x = 0;
+
+    for (int index_U = 0; index_U < BECKMANN_TABLE_SIZE; ++index_U) {
+      const double U = 0.0000001 + 0.9999998 * index_U / (double)(BECKMANN_TABLE_SIZE - 1);
+
+      /* inverse CDF_P22_omega_i, solve Eq.(11) */
+      while (CDF_P22_omega_i[index_slope_x] <= U)
+        ++index_slope_x;
+
+      const double interp = (CDF_P22_omega_i[index_slope_x] - U) /
+                            (CDF_P22_omega_i[index_slope_x] - CDF_P22_omega_i[index_slope_x - 1]);
+
+      /* store value */
+      table[index_U + index_theta * BECKMANN_TABLE_SIZE] =
+          (float)(interp * slope_x[index_slope_x - 1] + (1.0 - interp) * slope_x[index_slope_x]);
+    }
+  }
+}
+
+#undef MSVC_VOLATILE
+
+static void beckmann_table_build(vector<float> &table)
+{
+  table.resize(BECKMANN_TABLE_SIZE * BECKMANN_TABLE_SIZE);
+
+  /* multithreaded build */
+  TaskPool pool;
+
+  for (int i = 0; i < BECKMANN_TABLE_SIZE; i += 8)
+    pool.push(function_bind(&beckmann_table_rows, &table[0], i, i + 8));
+
+  pool.wait_work();
+}
+
+/* Shader */
+
+NODE_DEFINE(Shader)
+{
+  NodeType *type = NodeType::add("shader", create);
+
+  SOCKET_BOOLEAN(use_mis, "Use MIS", true);
+  SOCKET_BOOLEAN(use_transparent_shadow, "Use Transparent Shadow", true);
+  SOCKET_BOOLEAN(heterogeneous_volume, "Heterogeneous Volume", true);
+
+  static NodeEnum volume_sampling_method_enum;
+  volume_sampling_method_enum.insert("distance", VOLUME_SAMPLING_DISTANCE);
+  volume_sampling_method_enum.insert("equiangular", VOLUME_SAMPLING_EQUIANGULAR);
+  volume_sampling_method_enum.insert("multiple_importance", VOLUME_SAMPLING_MULTIPLE_IMPORTANCE);
+  SOCKET_ENUM(volume_sampling_method,
+              "Volume Sampling Method",
+              volume_sampling_method_enum,
+              VOLUME_SAMPLING_MULTIPLE_IMPORTANCE);
+
+  static NodeEnum volume_interpolation_method_enum;
+  volume_interpolation_method_enum.insert("linear", VOLUME_INTERPOLATION_LINEAR);
+  volume_interpolation_method_enum.insert("cubic", VOLUME_INTERPOLATION_CUBIC);
+  SOCKET_ENUM(volume_interpolation_method,
+              "Volume Interpolation Method",
+              volume_interpolation_method_enum,
+              VOLUME_INTERPOLATION_LINEAR);
+
+  SOCKET_FLOAT(volume_step_rate, "Volume Step Rate", 1.0f);
+
+  static NodeEnum displacement_method_enum;
+  displacement_method_enum.insert("bump", DISPLACE_BUMP);
+  displacement_method_enum.insert("true", DISPLACE_TRUE);
+  displacement_method_enum.insert("both", DISPLACE_BOTH);
+  SOCKET_ENUM(displacement_method, "Displacement Method", displacement_method_enum, DISPLACE_BUMP);
+
+  SOCKET_INT(pass_id, "Pass ID", 0);
+
+  return type;
+}
+
+Shader::Shader() : Node(get_node_type())
+{
+  pass_id = 0;
+
+  graph = NULL;
+
+  has_surface = false;
+  has_surface_transparent = false;
+  has_surface_emission = false;
+  has_surface_raytrace = false;
+  has_surface_bssrdf = false;
+  has_volume = false;
+  has_displacement = false;
+  has_bump = false;
+  has_bssrdf_bump = false;
+  has_surface_spatial_varying = false;
+  has_volume_spatial_varying = false;
+  has_volume_attribute_dependency = false;
+  has_integrator_dependency = false;
+  has_volume_connected = false;
+  prev_volume_step_rate = 0.0f;
+
+  displacement_method = DISPLACE_BUMP;
+
+  id = -1;
+
+  need_update_uvs = true;
+  need_update_attribute = true;
+  need_update_displacement = true;
+}
+
+Shader::~Shader()
+{
+  delete graph;
+}
+
+bool Shader::is_constant_emission(float3 *emission)
+{
+  /* If the shader has AOVs, they need to be evaluated, so we can't skip the shader. */
+  foreach (ShaderNode *node, graph->nodes) {
+    if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT_AOV) {
+      return false;
+    }
+  }
+
+  ShaderInput *surf = graph->output()->input("Surface");
+
+  if (surf->link == NULL) {
+    return false;
+  }
+
+  if (surf->link->parent->type == EmissionNode::get_node_type()) {
+    EmissionNode *node = (EmissionNode *)surf->link->parent;
+
+    assert(node->input("Color"));
+    assert(node->input("Strength"));
+
+    if (node->input("Color")->link || node->input("Strength")->link) {
+      return false;
+    }
+
+    *emission = node->get_color() * node->get_strength();
+  }
+  else if (surf->link->parent->type == BackgroundNode::get_node_type()) {
+    BackgroundNode *node = (BackgroundNode *)surf->link->parent;
+
+    assert(node->input("Color"));
+    assert(node->input("Strength"));
+
+    if (node->input("Color")->link || node->input("Strength")->link) {
+      return false;
+    }
+
+    *emission = node->get_color() * node->get_strength();
+  }
+  else {
+    return false;
+  }
+
+  return true;
+}
+
+void Shader::set_graph(ShaderGraph *graph_)
+{
+  /* do this here already so that we can detect if mesh or object attributes
+   * are needed, since the node attribute callbacks check if their sockets
+   * are connected but proxy nodes should not count */
+  if (graph_) {
+    graph_->remove_proxy_nodes();
+
+    if (displacement_method != DISPLACE_BUMP) {
+      graph_->compute_displacement_hash();
+    }
+  }
+
+  /* update geometry if displacement changed */
+  if (displacement_method != DISPLACE_BUMP) {
+    const char *old_hash = (graph) ? graph->displacement_hash.c_str() : "";
+    const char *new_hash = (graph_) ? graph_->displacement_hash.c_str() : "";
+
+    if (strcmp(old_hash, new_hash) != 0) {
+      need_update_displacement = true;
+    }
+  }
+
+  /* assign graph */
+  delete graph;
+  graph = graph_;
+
+  /* Store info here before graph optimization to make sure that
+   * nodes that get optimized away still count. */
+  has_volume_connected = (graph->output()->input("Volume")->link != NULL);
+}
+
+void Shader::tag_update(Scene *scene)
+{
+  /* update tag */
+  tag_modified();
+
+  scene->shader_manager->tag_update(scene, ShaderManager::SHADER_MODIFIED);
+
+  /* if the shader previously was emissive, update light distribution,
+   * if the new shader is emissive, a light manager update tag will be
+   * done in the shader manager device update. */
+  if (use_mis && has_surface_emission)
+    scene->light_manager->tag_update(scene, LightManager::SHADER_MODIFIED);
+
+  /* Special handle of background MIS light for now: for some reason it
+   * has use_mis set to false. We are quite close to release now, so
+   * better to be safe.
+   */
+  if (this == scene->background->get_shader(scene)) {
+    scene->light_manager->need_update_background = true;
+    if (scene->light_manager->has_background_light(scene)) {
+      scene->light_manager->tag_update(scene, LightManager::SHADER_MODIFIED);
+    }
+  }
+
+  /* quick detection of which kind of shaders we have to avoid loading
+   * e.g. surface attributes when there is only a volume shader. this could
+   * be more fine grained but it's better than nothing */
+  OutputNode *output = graph->output();
+  bool prev_has_volume = has_volume;
+  has_surface = has_surface || output->input("Surface")->link;
+  has_volume = has_volume || output->input("Volume")->link;
+  has_displacement = has_displacement || output->input("Displacement")->link;
+
+  /* get requested attributes. this could be optimized by pruning unused
+   * nodes here already, but that's the job of the shader manager currently,
+   * and may not be so great for interactive rendering where you temporarily
+   * disconnect a node */
+
+  AttributeRequestSet prev_attributes = attributes;
+
+  attributes.clear();
+  foreach (ShaderNode *node, graph->nodes)
+    node->attributes(this, &attributes);
+
+  if (has_displacement) {
+    if (displacement_method == DISPLACE_BOTH) {
+      attributes.add(ATTR_STD_POSITION_UNDISPLACED);
+    }
+    if (displacement_method_is_modified()) {
+      need_update_displacement = true;
+      scene->geometry_manager->tag_update(scene, GeometryManager::SHADER_DISPLACEMENT_MODIFIED);
+      scene->object_manager->need_flags_update = true;
+    }
+  }
+
+  /* compare if the attributes changed, mesh manager will check
+   * need_update_attribute, update the relevant meshes and clear it. */
+  if (attributes.modified(prev_attributes)) {
+    need_update_attribute = true;
+    scene->geometry_manager->tag_update(scene, GeometryManager::SHADER_ATTRIBUTE_MODIFIED);
+    scene->procedural_manager->tag_update();
+  }
+
+  if (has_volume != prev_has_volume || volume_step_rate != prev_volume_step_rate) {
+    scene->geometry_manager->need_flags_update = true;
+    scene->object_manager->need_flags_update = true;
+    prev_volume_step_rate = volume_step_rate;
+  }
+}
+
+void Shader::tag_used(Scene *scene)
+{
+  /* if an unused shader suddenly gets used somewhere, it needs to be
+   * recompiled because it was skipped for compilation before */
+  if (!reference_count()) {
+    tag_modified();
+    /* We do not reference here as the shader will be referenced when added to a socket. */
+    scene->shader_manager->tag_update(scene, ShaderManager::SHADER_MODIFIED);
+  }
+}
+
+bool Shader::need_update_geometry() const
+{
+  return need_update_uvs || need_update_attribute || need_update_displacement;
+}
+
+/* Shader Manager */
+
+ShaderManager::ShaderManager()
+{
+  update_flags = UPDATE_ALL;
+  beckmann_table_offset = TABLE_OFFSET_INVALID;
+
+  init_xyz_transforms();
+}
+
+ShaderManager::~ShaderManager()
+{
+}
+
+ShaderManager *ShaderManager::create(int shadingsystem)
+{
+  ShaderManager *manager;
+
+  (void)shadingsystem; /* Ignored when built without OSL. */
+
+#ifdef WITH_OSL
+  if (shadingsystem == SHADINGSYSTEM_OSL) {
+    manager = new OSLShaderManager();
+  }
+  else
+#endif
+  {
+    manager = new SVMShaderManager();
+  }
+
+  return manager;
+}
+
+uint ShaderManager::get_attribute_id(ustring name)
+{
+  thread_scoped_spin_lock lock(attribute_lock_);
+
+  /* get a unique id for each name, for SVM attribute lookup */
+  AttributeIDMap::iterator it = unique_attribute_id.find(name);
+
+  if (it != unique_attribute_id.end())
+    return it->second;
+
+  uint id = (uint)ATTR_STD_NUM + unique_attribute_id.size();
+  unique_attribute_id[name] = id;
+  return id;
+}
+
+uint ShaderManager::get_attribute_id(AttributeStandard std)
+{
+  return (uint)std;
+}
+
+int ShaderManager::get_shader_id(Shader *shader, bool smooth)
+{
+  /* get a shader id to pass to the kernel */
+  int id = shader->id;
+
+  /* smooth flag */
+  if (smooth)
+    id |= SHADER_SMOOTH_NORMAL;
+
+  /* default flags */
+  id |= SHADER_CAST_SHADOW | SHADER_AREA_LIGHT;
+
+  return id;
+}
+
+void ShaderManager::device_update(Device *device,
+                                  DeviceScene *dscene,
+                                  Scene *scene,
+                                  Progress &progress)
+{
+  if (!need_update()) {
+    return;
+  }
+
+  uint id = 0;
+  foreach (Shader *shader, scene->shaders) {
+    shader->id = id++;
+  }
+
+  /* Those shaders should always be compiled as they are used as fallback if a shader cannot be
+   * found, e.g. bad shader index for the triangle shaders on a Mesh. */
+  assert(scene->default_surface->reference_count() != 0);
+  assert(scene->default_light->reference_count() != 0);
+  assert(scene->default_background->reference_count() != 0);
+  assert(scene->default_empty->reference_count() != 0);
+
+  device_update_specific(device, dscene, scene, progress);
+}
+
+void ShaderManager::device_update_common(Device * /*device*/,
+                                         DeviceScene *dscene,
+                                         Scene *scene,
+                                         Progress & /*progress*/)
+{
+  dscene->shaders.free();
+
+  if (scene->shaders.size() == 0)
+    return;
+
+  KernelShader *kshader = dscene->shaders.alloc(scene->shaders.size());
+  bool has_volumes = false;
+  bool has_transparent_shadow = false;
+
+  foreach (Shader *shader, scene->shaders) {
+    uint flag = 0;
+
+    if (shader->get_use_mis())
+      flag |= SD_USE_MIS;
+    if (shader->has_surface_emission)
+      flag |= SD_HAS_EMISSION;
+    if (shader->has_surface_transparent && shader->get_use_transparent_shadow())
+      flag |= SD_HAS_TRANSPARENT_SHADOW;
+    if (shader->has_surface_raytrace)
+      flag |= SD_HAS_RAYTRACE;
+    if (shader->has_volume) {
+      flag |= SD_HAS_VOLUME;
+      has_volumes = true;
+
+      /* todo: this could check more fine grained, to skip useless volumes
+       * enclosed inside an opaque bsdf.
+       */
+      flag |= SD_HAS_TRANSPARENT_SHADOW;
+    }
+    /* in this case we can assume transparent surface */
+    if (shader->has_volume_connected && !shader->has_surface)
+      flag |= SD_HAS_ONLY_VOLUME;
+    if (shader->has_volume) {
+      if (shader->get_heterogeneous_volume() && shader->has_volume_spatial_varying)
+        flag |= SD_HETEROGENEOUS_VOLUME;
+    }
+    if (shader->has_volume_attribute_dependency)
+      flag |= SD_NEED_VOLUME_ATTRIBUTES;
+    if (shader->has_bssrdf_bump)
+      flag |= SD_HAS_BSSRDF_BUMP;
+    if (shader->get_volume_sampling_method() == VOLUME_SAMPLING_EQUIANGULAR)
+      flag |= SD_VOLUME_EQUIANGULAR;
+    if (shader->get_volume_sampling_method() == VOLUME_SAMPLING_MULTIPLE_IMPORTANCE)
+      flag |= SD_VOLUME_MIS;
+    if (shader->get_volume_interpolation_method() == VOLUME_INTERPOLATION_CUBIC)
+      flag |= SD_VOLUME_CUBIC;
+    if (shader->has_bump)
+      flag |= SD_HAS_BUMP;
+    if (shader->get_displacement_method() != DISPLACE_BUMP)
+      flag |= SD_HAS_DISPLACEMENT;
+
+    /* constant emission check */
+    float3 constant_emission = zero_float3();
+    if (shader->is_constant_emission(&constant_emission))
+      flag |= SD_HAS_CONSTANT_EMISSION;
+
+    uint32_t cryptomatte_id = util_murmur_hash3(shader->name.c_str(), shader->name.length(), 0);
+
+    /* regular shader */
+    kshader->flags = flag;
+    kshader->pass_id = shader->get_pass_id();
+    kshader->constant_emission[0] = constant_emission.x;
+    kshader->constant_emission[1] = constant_emission.y;
+    kshader->constant_emission[2] = constant_emission.z;
+    kshader->cryptomatte_id = util_hash_to_float(cryptomatte_id);
+    kshader++;
+
+    has_transparent_shadow |= (flag & SD_HAS_TRANSPARENT_SHADOW) != 0;
+  }
+
+  dscene->shaders.copy_to_device();
+
+  /* lookup tables */
+  KernelTables *ktables = &dscene->data.tables;
+
+  /* beckmann lookup table */
+  if (beckmann_table_offset == TABLE_OFFSET_INVALID) {
+    if (!beckmann_table_ready) {
+      thread_scoped_lock lock(lookup_table_mutex);
+      if (!beckmann_table_ready) {
+        beckmann_table_build(beckmann_table);
+        beckmann_table_ready = true;
+      }
+    }
+    beckmann_table_offset = scene->lookup_tables->add_table(dscene, beckmann_table);
+  }
+  ktables->beckmann_offset = (int)beckmann_table_offset;
+
+  /* integrator */
+  KernelIntegrator *kintegrator = &dscene->data.integrator;
+  kintegrator->use_volumes = has_volumes;
+  /* TODO(sergey): De-duplicate with flags set in integrator.cpp. */
+  kintegrator->transparent_shadows = has_transparent_shadow;
+
+  /* film */
+  KernelFilm *kfilm = &dscene->data.film;
+  /* color space, needs to be here because e.g. displacement shaders could depend on it */
+  kfilm->xyz_to_r = float3_to_float4(xyz_to_r);
+  kfilm->xyz_to_g = float3_to_float4(xyz_to_g);
+  kfilm->xyz_to_b = float3_to_float4(xyz_to_b);
+  kfilm->rgb_to_y = float3_to_float4(rgb_to_y);
+}
+
+void ShaderManager::device_free_common(Device *, DeviceScene *dscene, Scene *scene)
+{
+  scene->lookup_tables->remove_table(&beckmann_table_offset);
+
+  dscene->shaders.free();
+}
+
+void ShaderManager::add_default(Scene *scene)
+{
+  /* default surface */
+  {
+    ShaderGraph *graph = new ShaderGraph();
+
+    DiffuseBsdfNode *diffuse = graph->create_node<DiffuseBsdfNode>();
+    diffuse->set_color(make_float3(0.8f, 0.8f, 0.8f));
+    graph->add(diffuse);
+
+    graph->connect(diffuse->output("BSDF"), graph->output()->input("Surface"));
+
+    Shader *shader = scene->create_node<Shader>();
+    shader->name = "default_surface";
+    shader->set_graph(graph);
+    shader->reference();
+    scene->default_surface = shader;
+    shader->tag_update(scene);
+  }
+
+  /* default volume */
+  {
+    ShaderGraph *graph = new ShaderGraph();
+
+    PrincipledVolumeNode *principled = graph->create_node<PrincipledVolumeNode>();
+    graph->add(principled);
+
+    graph->connect(principled->output("Volume"), graph->output()->input("Volume"));
+
+    Shader *shader = scene->create_node<Shader>();
+    shader->name = "default_volume";
+    shader->set_graph(graph);
+    scene->default_volume = shader;
+    shader->tag_update(scene);
+    /* No default reference for the volume to avoid compiling volume kernels if there are no actual
+     * volumes in the scene */
+  }
+
+  /* default light */
+  {
+    ShaderGraph *graph = new ShaderGraph();
+
+    EmissionNode *emission = graph->create_node<EmissionNode>();
+    emission->set_color(make_float3(0.8f, 0.8f, 0.8f));
+    emission->set_strength(0.0f);
+    graph->add(emission);
+
+    graph->connect(emission->output("Emission"), graph->output()->input("Surface"));
+
+    Shader *shader = scene->create_node<Shader>();
+    shader->name = "default_light";
+    shader->set_graph(graph);
+    shader->reference();
+    scene->default_light = shader;
+    shader->tag_update(scene);
+  }
+
+  /* default background */
+  {
+    ShaderGraph *graph = new ShaderGraph();
+
+    Shader *shader = scene->create_node<Shader>();
+    shader->name = "default_background";
+    shader->set_graph(graph);
+    shader->reference();
+    scene->default_background = shader;
+    shader->tag_update(scene);
+  }
+
+  /* default empty */
+  {
+    ShaderGraph *graph = new ShaderGraph();
+
+    Shader *shader = scene->create_node<Shader>();
+    shader->name = "default_empty";
+    shader->set_graph(graph);
+    shader->reference();
+    scene->default_empty = shader;
+    shader->tag_update(scene);
+  }
+}
+
+uint ShaderManager::get_graph_kernel_features(ShaderGraph *graph)
+{
+  uint kernel_features = 0;
+
+  foreach (ShaderNode *node, graph->nodes) {
+    kernel_features |= node->get_feature();
+    if (node->special_type == SHADER_SPECIAL_TYPE_CLOSURE) {
+      BsdfBaseNode *bsdf_node = static_cast<BsdfBaseNode *>(node);
+      if (CLOSURE_IS_VOLUME(bsdf_node->get_closure_type())) {
+        kernel_features |= KERNEL_FEATURE_NODE_VOLUME;
+      }
+      else if (CLOSURE_IS_PRINCIPLED(bsdf_node->get_closure_type())) {
+        kernel_features |= KERNEL_FEATURE_PRINCIPLED;
+      }
+    }
+    if (node->has_surface_bssrdf()) {
+      kernel_features |= KERNEL_FEATURE_SUBSURFACE;
+    }
+    if (node->has_surface_transparent()) {
+      kernel_features |= KERNEL_FEATURE_TRANSPARENT;
+    }
+  }
+
+  return kernel_features;
+}
+
+uint ShaderManager::get_kernel_features(Scene *scene)
+{
+  uint kernel_features = KERNEL_FEATURE_NODE_BSDF | KERNEL_FEATURE_NODE_EMISSION;
+  for (int i = 0; i < scene->shaders.size(); i++) {
+    Shader *shader = scene->shaders[i];
+    if (!shader->reference_count()) {
+      continue;
+    }
+
+    /* Gather requested features from all the nodes from the graph nodes. */
+    kernel_features |= get_graph_kernel_features(shader->graph);
+    ShaderNode *output_node = shader->graph->output();
+    if (output_node->input("Displacement")->link != NULL) {
+      kernel_features |= KERNEL_FEATURE_NODE_BUMP;
+      if (shader->get_displacement_method() == DISPLACE_BOTH) {
+        kernel_features |= KERNEL_FEATURE_NODE_BUMP_STATE;
+      }
+    }
+    /* On top of volume nodes, also check if we need volume sampling because
+     * e.g. an Emission node would slip through the KERNEL_FEATURE_NODE_VOLUME check */
+    if (shader->has_volume_connected) {
+      kernel_features |= KERNEL_FEATURE_VOLUME;
+    }
+  }
+
+  return kernel_features;
+}
+
+void ShaderManager::free_memory()
+{
+  beckmann_table.free_memory();
+
+#ifdef WITH_OSL
+  OSLShaderManager::free_memory();
+#endif
+
+  ColorSpaceManager::free_memory();
+}
+
+float ShaderManager::linear_rgb_to_gray(float3 c)
+{
+  return dot(c, rgb_to_y);
+}
+
+string ShaderManager::get_cryptomatte_materials(Scene *scene)
+{
+  string manifest = "{";
+  unordered_set<ustring, ustringHash> materials;
+  foreach (Shader *shader, scene->shaders) {
+    if (materials.count(shader->name)) {
+      continue;
+    }
+    materials.insert(shader->name);
+    uint32_t cryptomatte_id = util_murmur_hash3(shader->name.c_str(), shader->name.length(), 0);
+    manifest += string_printf("\"%s\":\"%08x\",", shader->name.c_str(), cryptomatte_id);
+  }
+  manifest[manifest.size() - 1] = '}';
+  return manifest;
+}
+
+void ShaderManager::tag_update(Scene * /*scene*/, uint32_t /*flag*/)
+{
+  /* update everything for now */
+  update_flags = ShaderManager::UPDATE_ALL;
+}
+
+bool ShaderManager::need_update() const
+{
+  return update_flags != UPDATE_NONE;
+}
+
+#ifdef WITH_OCIO
+static bool to_scene_linear_transform(OCIO::ConstConfigRcPtr &config,
+                                      const char *colorspace,
+                                      Transform &to_scene_linear)
+{
+  OCIO::ConstProcessorRcPtr processor;
+  try {
+    processor = config->getProcessor(OCIO::ROLE_SCENE_LINEAR, colorspace);
+  }
+  catch (OCIO::Exception &) {
+    return false;
+  }
+
+  if (!processor) {
+    return false;
+  }
+
+  OCIO::ConstCPUProcessorRcPtr device_processor = processor->getDefaultCPUProcessor();
+  if (!device_processor) {
+    return false;
+  }
+
+  to_scene_linear = transform_identity();
+  device_processor->applyRGB(&to_scene_linear.x.x);
+  device_processor->applyRGB(&to_scene_linear.y.x);
+  device_processor->applyRGB(&to_scene_linear.z.x);
+  to_scene_linear = transform_transposed_inverse(to_scene_linear);
+  return true;
+}
+#endif
+
+void ShaderManager::init_xyz_transforms()
+{
+  /* Default to ITU-BT.709 in case no appropriate transform found.
+   * Note XYZ here is defined as having a D65 white point. */
+  xyz_to_r = make_float3(3.2404542f, -1.5371385f, -0.4985314f);
+  xyz_to_g = make_float3(-0.9692660f, 1.8760108f, 0.0415560f);
+  xyz_to_b = make_float3(0.0556434f, -0.2040259f, 1.0572252f);
+  rgb_to_y = make_float3(0.2126729f, 0.7151522f, 0.0721750f);
+
+#ifdef WITH_OCIO
+  /* Get from OpenColorO config if it has the required roles. */
+  OCIO::ConstConfigRcPtr config = OCIO::GetCurrentConfig();
+  if (!(config && config->hasRole(OCIO::ROLE_SCENE_LINEAR))) {
+    return;
+  }
+
+  Transform xyz_to_rgb;
+
+  if (config->hasRole("aces_interchange")) {
+    /* Standard OpenColorIO role, defined as ACES2065-1. */
+    const Transform xyz_E_to_aces = make_transform(1.0498110175f,
+                                                   0.0f,
+                                                   -0.0000974845f,
+                                                   0.0f,
+                                                   -0.4959030231f,
+                                                   1.3733130458f,
+                                                   0.0982400361f,
+                                                   0.0f,
+                                                   0.0f,
+                                                   0.0f,
+                                                   0.9912520182f,
+                                                   0.0f);
+    const Transform xyz_D65_to_E = make_transform(
+        1.0521111f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.9184170f, 0.0f);
+
+    Transform aces_to_rgb;
+    if (!to_scene_linear_transform(config, "aces_interchange", aces_to_rgb)) {
+      return;
+    }
+
+    xyz_to_rgb = aces_to_rgb * xyz_E_to_aces * xyz_D65_to_E;
+  }
+  else if (config->hasRole("XYZ")) {
+    /* Custom role used before the standard existed. */
+    if (!to_scene_linear_transform(config, "XYZ", xyz_to_rgb)) {
+      return;
+    }
+  }
+  else {
+    /* No reference role found to determine XYZ. */
+    return;
+  }
+
+  xyz_to_r = float4_to_float3(xyz_to_rgb.x);
+  xyz_to_g = float4_to_float3(xyz_to_rgb.y);
+  xyz_to_b = float4_to_float3(xyz_to_rgb.z);
+
+  const Transform rgb_to_xyz = transform_inverse(xyz_to_rgb);
+  rgb_to_y = float4_to_float3(rgb_to_xyz.y);
+#endif
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/shader.h b/intern/cycles/scene/shader.h
new file mode 100644
index 00000000000..7ef3bda15d7
--- /dev/null
+++ b/intern/cycles/scene/shader.h
@@ -0,0 +1,259 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __SHADER_H__
+#define __SHADER_H__
+
+#ifdef WITH_OSL
+/* So no context pollution happens from indirectly included windows.h */
+#  include "util/util_windows.h"
+#  include <OSL/oslexec.h>
+#endif
+
+#include "kernel/kernel_types.h"
+#include "scene/attribute.h"
+
+#include "graph/node.h"
+
+#include "util/util_map.h"
+#include "util/util_param.h"
+#include "util/util_string.h"
+#include "util/util_thread.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Mesh;
+class Progress;
+class Scene;
+class ShaderGraph;
+struct float3;
+
+enum ShadingSystem { SHADINGSYSTEM_OSL, SHADINGSYSTEM_SVM };
+
+/* Keep those in sync with the python-defined enum. */
+enum VolumeSampling {
+  VOLUME_SAMPLING_DISTANCE = 0,
+  VOLUME_SAMPLING_EQUIANGULAR = 1,
+  VOLUME_SAMPLING_MULTIPLE_IMPORTANCE = 2,
+
+  VOLUME_NUM_SAMPLING,
+};
+
+enum VolumeInterpolation {
+  VOLUME_INTERPOLATION_LINEAR = 0,
+  VOLUME_INTERPOLATION_CUBIC = 1,
+
+  VOLUME_NUM_INTERPOLATION,
+};
+
+enum DisplacementMethod {
+  DISPLACE_BUMP = 0,
+  DISPLACE_TRUE = 1,
+  DISPLACE_BOTH = 2,
+
+  DISPLACE_NUM_METHODS,
+};
+
+/* Shader describing the appearance of a Mesh, Light or Background.
+ *
+ * While there is only a single shader graph, it has three outputs: surface,
+ * volume and displacement, that the shader manager will compile and execute
+ * separately. */
+
+class Shader : public Node {
+ public:
+  NODE_DECLARE
+
+  /* shader graph */
+  ShaderGraph *graph;
+
+  NODE_SOCKET_API(int, pass_id)
+
+  /* sampling */
+  NODE_SOCKET_API(bool, use_mis)
+  NODE_SOCKET_API(bool, use_transparent_shadow)
+  NODE_SOCKET_API(bool, heterogeneous_volume)
+  NODE_SOCKET_API(VolumeSampling, volume_sampling_method)
+  NODE_SOCKET_API(int, volume_interpolation_method)
+  NODE_SOCKET_API(float, volume_step_rate)
+
+  /* displacement */
+  NODE_SOCKET_API(DisplacementMethod, displacement_method)
+
+  float prev_volume_step_rate;
+
+  /* synchronization */
+  bool need_update_uvs;
+  bool need_update_attribute;
+  bool need_update_displacement;
+
+  /* If the shader has only volume components, the surface is assumed to
+   * be transparent.
+   * However, graph optimization might remove the volume subgraph, but
+   * since the user connected something to the volume output the surface
+   * should still be transparent.
+   * Therefore, has_volume_connected stores whether some volume sub-tree
+   * was connected before optimization. */
+  bool has_volume_connected;
+
+  /* information about shader after compiling */
+  bool has_surface;
+  bool has_surface_emission;
+  bool has_surface_transparent;
+  bool has_surface_raytrace;
+  bool has_volume;
+  bool has_displacement;
+  bool has_surface_bssrdf;
+  bool has_bump;
+  bool has_bssrdf_bump;
+  bool has_surface_spatial_varying;
+  bool has_volume_spatial_varying;
+  bool has_volume_attribute_dependency;
+  bool has_integrator_dependency;
+
+  /* requested mesh attributes */
+  AttributeRequestSet attributes;
+
+  /* determined before compiling */
+  uint id;
+
+#ifdef WITH_OSL
+  /* osl shading state references */
+  OSL::ShaderGroupRef osl_surface_ref;
+  OSL::ShaderGroupRef osl_surface_bump_ref;
+  OSL::ShaderGroupRef osl_volume_ref;
+  OSL::ShaderGroupRef osl_displacement_ref;
+#endif
+
+  Shader();
+  ~Shader();
+
+  /* Checks whether the shader consists of just a emission node with fixed inputs that's connected
+   * directly to the output.
+   * If yes, it sets the content of emission to the constant value (color * strength), which is
+   * then used for speeding up light evaluation. */
+  bool is_constant_emission(float3 *emission);
+
+  void set_graph(ShaderGraph *graph);
+  void tag_update(Scene *scene);
+  void tag_used(Scene *scene);
+
+  /* Return true when either of the surface or displacement socket of the output node is linked.
+   * This should be used to ensure that surface attributes are also requested even when only the
+   * displacement socket is linked. */
+  bool has_surface_link() const
+  {
+    return has_surface || has_displacement;
+  }
+
+  bool need_update_geometry() const;
+};
+
+/* Shader Manager virtual base class
+ *
+ * From this the SVM and OSL shader managers are derived, that do the actual
+ * shader compiling and device updating. */
+
+class ShaderManager {
+ public:
+  enum : uint32_t {
+    SHADER_ADDED = (1 << 0),
+    SHADER_MODIFIED = (1 << 2),
+    INTEGRATOR_MODIFIED = (1 << 3),
+
+    /* tag everything in the manager for an update */
+    UPDATE_ALL = ~0u,
+
+    UPDATE_NONE = 0u,
+  };
+
+  static ShaderManager *create(int shadingsystem);
+  virtual ~ShaderManager();
+
+  virtual void reset(Scene *scene) = 0;
+
+  virtual bool use_osl()
+  {
+    return false;
+  }
+
+  /* device update */
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+  virtual void device_update_specific(Device *device,
+                                      DeviceScene *dscene,
+                                      Scene *scene,
+                                      Progress &progress) = 0;
+  virtual void device_free(Device *device, DeviceScene *dscene, Scene *scene) = 0;
+
+  void device_update_common(Device *device, DeviceScene *dscene, Scene *scene, Progress &progress);
+  void device_free_common(Device *device, DeviceScene *dscene, Scene *scene);
+
+  /* get globally unique id for a type of attribute */
+  uint get_attribute_id(ustring name);
+  uint get_attribute_id(AttributeStandard std);
+
+  /* get shader id for mesh faces */
+  int get_shader_id(Shader *shader, bool smooth = false);
+
+  /* add default shaders to scene, to use as default for things that don't
+   * have any shader assigned explicitly */
+  static void add_default(Scene *scene);
+
+  /* Selective nodes compilation. */
+  uint get_kernel_features(Scene *scene);
+
+  static void free_memory();
+
+  float linear_rgb_to_gray(float3 c);
+
+  string get_cryptomatte_materials(Scene *scene);
+
+  void tag_update(Scene *scene, uint32_t flag);
+
+  bool need_update() const;
+
+  void init_xyz_transforms();
+
+ protected:
+  ShaderManager();
+
+  uint32_t update_flags;
+
+  typedef unordered_map<ustring, uint, ustringHash> AttributeIDMap;
+  AttributeIDMap unique_attribute_id;
+
+  static thread_mutex lookup_table_mutex;
+  static vector<float> beckmann_table;
+  static bool beckmann_table_ready;
+
+  size_t beckmann_table_offset;
+
+  uint get_graph_kernel_features(ShaderGraph *graph);
+
+  thread_spin_lock attribute_lock_;
+
+  float3 xyz_to_r;
+  float3 xyz_to_g;
+  float3 xyz_to_b;
+  float3 rgb_to_y;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __SHADER_H__ */
diff --git a/intern/cycles/scene/shader_graph.cpp b/intern/cycles/scene/shader_graph.cpp
new file mode 100644
index 00000000000..116d8335ef8
--- /dev/null
+++ b/intern/cycles/scene/shader_graph.cpp
@@ -0,0 +1,1239 @@
+/*
+ * Copyright 2011-2016 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/shader_graph.h"
+#include "scene/attribute.h"
+#include "scene/constant_fold.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_nodes.h"
+
+#include "util/util_algorithm.h"
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_md5.h"
+#include "util/util_queue.h"
+
+CCL_NAMESPACE_BEGIN
+
+namespace {
+
+bool check_node_inputs_has_links(const ShaderNode *node)
+{
+  foreach (const ShaderInput *in, node->inputs) {
+    if (in->link) {
+      return true;
+    }
+  }
+  return false;
+}
+
+bool check_node_inputs_traversed(const ShaderNode *node, const ShaderNodeSet &done)
+{
+  foreach (const ShaderInput *in, node->inputs) {
+    if (in->link) {
+      if (done.find(in->link->parent) == done.end()) {
+        return false;
+      }
+    }
+  }
+  return true;
+}
+
+} /* namespace */
+
+/* Sockets */
+
+void ShaderInput::disconnect()
+{
+  if (link) {
+    link->links.erase(remove(link->links.begin(), link->links.end(), this), link->links.end());
+  }
+  link = NULL;
+}
+
+void ShaderOutput::disconnect()
+{
+  foreach (ShaderInput *sock, links) {
+    sock->link = NULL;
+  }
+
+  links.clear();
+}
+
+/* Node */
+
+ShaderNode::ShaderNode(const NodeType *type) : Node(type)
+{
+  name = type->name;
+  id = -1;
+  bump = SHADER_BUMP_NONE;
+  special_type = SHADER_SPECIAL_TYPE_NONE;
+
+  create_inputs_outputs(type);
+}
+
+ShaderNode::~ShaderNode()
+{
+  foreach (ShaderInput *socket, inputs)
+    delete socket;
+
+  foreach (ShaderOutput *socket, outputs)
+    delete socket;
+}
+
+void ShaderNode::create_inputs_outputs(const NodeType *type)
+{
+  foreach (const SocketType &socket, type->inputs) {
+    if (socket.flags & SocketType::LINKABLE) {
+      inputs.push_back(new ShaderInput(socket, this));
+    }
+  }
+
+  foreach (const SocketType &socket, type->outputs) {
+    outputs.push_back(new ShaderOutput(socket, this));
+  }
+}
+
+ShaderInput *ShaderNode::input(const char *name)
+{
+  foreach (ShaderInput *socket, inputs) {
+    if (socket->name() == name)
+      return socket;
+  }
+
+  return NULL;
+}
+
+ShaderOutput *ShaderNode::output(const char *name)
+{
+  foreach (ShaderOutput *socket, outputs)
+    if (socket->name() == name)
+      return socket;
+
+  return NULL;
+}
+
+ShaderInput *ShaderNode::input(ustring name)
+{
+  foreach (ShaderInput *socket, inputs) {
+    if (socket->name() == name)
+      return socket;
+  }
+
+  return NULL;
+}
+
+ShaderOutput *ShaderNode::output(ustring name)
+{
+  foreach (ShaderOutput *socket, outputs)
+    if (socket->name() == name)
+      return socket;
+
+  return NULL;
+}
+
+void ShaderNode::remove_input(ShaderInput *input)
+{
+  assert(input->link == NULL);
+  delete input;
+  inputs.erase(remove(inputs.begin(), inputs.end(), input), inputs.end());
+}
+
+void ShaderNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  foreach (ShaderInput *input, inputs) {
+    if (!input->link) {
+      if (input->flags() & SocketType::LINK_TEXTURE_GENERATED) {
+        if (shader->has_surface_link())
+          attributes->add(ATTR_STD_GENERATED);
+        if (shader->has_volume)
+          attributes->add(ATTR_STD_GENERATED_TRANSFORM);
+      }
+      else if (input->flags() & SocketType::LINK_TEXTURE_UV) {
+        if (shader->has_surface_link())
+          attributes->add(ATTR_STD_UV);
+      }
+    }
+  }
+}
+
+bool ShaderNode::equals(const ShaderNode &other)
+{
+  if (type != other.type || bump != other.bump) {
+    return false;
+  }
+
+  assert(inputs.size() == other.inputs.size());
+
+  /* Compare unlinkable sockets */
+  foreach (const SocketType &socket, type->inputs) {
+    if (!(socket.flags & SocketType::LINKABLE)) {
+      if (!Node::equals_value(other, socket)) {
+        return false;
+      }
+    }
+  }
+
+  /* Compare linkable input sockets */
+  for (int i = 0; i < inputs.size(); ++i) {
+    ShaderInput *input_a = inputs[i], *input_b = other.inputs[i];
+    if (input_a->link == NULL && input_b->link == NULL) {
+      /* Unconnected inputs are expected to have the same value. */
+      if (!Node::equals_value(other, input_a->socket_type)) {
+        return false;
+      }
+    }
+    else if (input_a->link != NULL && input_b->link != NULL) {
+      /* Expect links are to come from the same exact socket. */
+      if (input_a->link != input_b->link) {
+        return false;
+      }
+    }
+    else {
+      /* One socket has a link and another has not, inputs can't be
+       * considered equal.
+       */
+      return false;
+    }
+  }
+
+  return true;
+}
+
+/* Graph */
+
+ShaderGraph::ShaderGraph()
+{
+  finalized = false;
+  simplified = false;
+  num_node_ids = 0;
+  add(create_node<OutputNode>());
+}
+
+ShaderGraph::~ShaderGraph()
+{
+  clear_nodes();
+}
+
+ShaderNode *ShaderGraph::add(ShaderNode *node)
+{
+  assert(!finalized);
+  simplified = false;
+
+  node->id = num_node_ids++;
+  nodes.push_back(node);
+  return node;
+}
+
+OutputNode *ShaderGraph::output()
+{
+  return (OutputNode *)nodes.front();
+}
+
+void ShaderGraph::connect(ShaderOutput *from, ShaderInput *to)
+{
+  assert(!finalized);
+  assert(from && to);
+
+  if (to->link) {
+    fprintf(stderr, "Cycles shader graph connect: input already connected.\n");
+    return;
+  }
+
+  if (from->type() != to->type()) {
+    /* can't do automatic conversion from closure */
+    if (from->type() == SocketType::CLOSURE) {
+      fprintf(stderr,
+              "Cycles shader graph connect: can only connect closure to closure "
+              "(%s.%s to %s.%s).\n",
+              from->parent->name.c_str(),
+              from->name().c_str(),
+              to->parent->name.c_str(),
+              to->name().c_str());
+      return;
+    }
+
+    /* add automatic conversion node in case of type mismatch */
+    ShaderNode *convert;
+    ShaderInput *convert_in;
+
+    if (to->type() == SocketType::CLOSURE) {
+      EmissionNode *emission = create_node<EmissionNode>();
+      emission->set_color(one_float3());
+      emission->set_strength(1.0f);
+      convert = add(emission);
+      /* Connect float inputs to Strength to save an additional Value->Color conversion. */
+      if (from->type() == SocketType::FLOAT) {
+        convert_in = convert->input("Strength");
+      }
+      else {
+        convert_in = convert->input("Color");
+      }
+    }
+    else {
+      convert = add(create_node<ConvertNode>(from->type(), to->type(), true));
+      convert_in = convert->inputs[0];
+    }
+
+    connect(from, convert_in);
+    connect(convert->outputs[0], to);
+  }
+  else {
+    /* types match, just connect */
+    to->link = from;
+    from->links.push_back(to);
+  }
+}
+
+void ShaderGraph::disconnect(ShaderOutput *from)
+{
+  assert(!finalized);
+  simplified = false;
+
+  from->disconnect();
+}
+
+void ShaderGraph::disconnect(ShaderInput *to)
+{
+  assert(!finalized);
+  assert(to->link);
+  simplified = false;
+
+  to->disconnect();
+}
+
+void ShaderGraph::relink(ShaderInput *from, ShaderInput *to)
+{
+  ShaderOutput *out = from->link;
+  if (out) {
+    disconnect(from);
+    connect(out, to);
+  }
+  to->parent->copy_value(to->socket_type, *(from->parent), from->socket_type);
+}
+
+void ShaderGraph::relink(ShaderOutput *from, ShaderOutput *to)
+{
+  /* Copy because disconnect modifies this list. */
+  vector<ShaderInput *> outputs = from->links;
+
+  foreach (ShaderInput *sock, outputs) {
+    disconnect(sock);
+    if (to)
+      connect(to, sock);
+  }
+}
+
+void ShaderGraph::relink(ShaderNode *node, ShaderOutput *from, ShaderOutput *to)
+{
+  simplified = false;
+
+  /* Copy because disconnect modifies this list */
+  vector<ShaderInput *> outputs = from->links;
+
+  /* Bypass node by moving all links from "from" to "to" */
+  foreach (ShaderInput *sock, node->inputs) {
+    if (sock->link)
+      disconnect(sock);
+  }
+
+  foreach (ShaderInput *sock, outputs) {
+    disconnect(sock);
+    if (to)
+      connect(to, sock);
+  }
+}
+
+void ShaderGraph::simplify(Scene *scene)
+{
+  if (!simplified) {
+    expand();
+    default_inputs(scene->shader_manager->use_osl());
+    clean(scene);
+    refine_bump_nodes();
+
+    simplified = true;
+  }
+}
+
+void ShaderGraph::finalize(Scene *scene, bool do_bump, bool do_simplify, bool bump_in_object_space)
+{
+  /* before compiling, the shader graph may undergo a number of modifications.
+   * currently we set default geometry shader inputs, and create automatic bump
+   * from displacement. a graph can be finalized only once, and should not be
+   * modified afterwards. */
+
+  if (!finalized) {
+    simplify(scene);
+
+    if (do_bump)
+      bump_from_displacement(bump_in_object_space);
+
+    ShaderInput *surface_in = output()->input("Surface");
+    ShaderInput *volume_in = output()->input("Volume");
+
+    /* todo: make this work when surface and volume closures are tangled up */
+
+    if (surface_in->link)
+      transform_multi_closure(surface_in->link->parent, NULL, false);
+    if (volume_in->link)
+      transform_multi_closure(volume_in->link->parent, NULL, true);
+
+    finalized = true;
+  }
+  else if (do_simplify) {
+    simplify_settings(scene);
+  }
+}
+
+void ShaderGraph::find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input)
+{
+  /* find all nodes that this input depends on directly and indirectly */
+  ShaderNode *node = (input->link) ? input->link->parent : NULL;
+
+  if (node != NULL && dependencies.find(node) == dependencies.end()) {
+    foreach (ShaderInput *in, node->inputs)
+      find_dependencies(dependencies, in);
+
+    dependencies.insert(node);
+  }
+}
+
+void ShaderGraph::clear_nodes()
+{
+  foreach (ShaderNode *node, nodes) {
+    delete_node(node);
+  }
+  nodes.clear();
+}
+
+void ShaderGraph::copy_nodes(ShaderNodeSet &nodes, ShaderNodeMap &nnodemap)
+{
+  /* copy a set of nodes, and the links between them. the assumption is
+   * made that all nodes that inputs are linked to are in the set too. */
+
+  /* copy nodes */
+  foreach (ShaderNode *node, nodes) {
+    ShaderNode *nnode = node->clone(this);
+    nnodemap[node] = nnode;
+
+    /* create new inputs and outputs to recreate links and ensure
+     * that we still point to valid SocketType if the NodeType
+     * changed in cloning, as it does for OSL nodes */
+    nnode->inputs.clear();
+    nnode->outputs.clear();
+    nnode->create_inputs_outputs(nnode->type);
+  }
+
+  /* recreate links */
+  foreach (ShaderNode *node, nodes) {
+    foreach (ShaderInput *input, node->inputs) {
+      if (input->link) {
+        /* find new input and output */
+        ShaderNode *nfrom = nnodemap[input->link->parent];
+        ShaderNode *nto = nnodemap[input->parent];
+        ShaderOutput *noutput = nfrom->output(input->link->name());
+        ShaderInput *ninput = nto->input(input->name());
+
+        /* connect */
+        connect(noutput, ninput);
+      }
+    }
+  }
+}
+
+/* Graph simplification */
+/* ******************** */
+
+/* Remove proxy nodes.
+ *
+ * These only exists temporarily when exporting groups, and we must remove them
+ * early so that node->attributes() and default links do not see them.
+ */
+void ShaderGraph::remove_proxy_nodes()
+{
+  vector<bool> removed(num_node_ids, false);
+  bool any_node_removed = false;
+
+  foreach (ShaderNode *node, nodes) {
+    if (node->special_type == SHADER_SPECIAL_TYPE_PROXY) {
+      ConvertNode *proxy = static_cast<ConvertNode *>(node);
+      ShaderInput *input = proxy->inputs[0];
+      ShaderOutput *output = proxy->outputs[0];
+
+      /* bypass the proxy node */
+      if (input->link) {
+        relink(proxy, output, input->link);
+      }
+      else {
+        /* Copy because disconnect modifies this list */
+        vector<ShaderInput *> links(output->links);
+
+        foreach (ShaderInput *to, links) {
+          /* Remove any auto-convert nodes too if they lead to
+           * sockets with an automatically set default value. */
+          ShaderNode *tonode = to->parent;
+
+          if (tonode->special_type == SHADER_SPECIAL_TYPE_AUTOCONVERT) {
+            bool all_links_removed = true;
+            vector<ShaderInput *> links = tonode->outputs[0]->links;
+
+            foreach (ShaderInput *autoin, links) {
+              if (autoin->flags() & SocketType::DEFAULT_LINK_MASK)
+                disconnect(autoin);
+              else
+                all_links_removed = false;
+            }
+
+            if (all_links_removed)
+              removed[tonode->id] = true;
+          }
+
+          disconnect(to);
+
+          /* transfer the default input value to the target socket */
+          tonode->copy_value(to->socket_type, *proxy, input->socket_type);
+        }
+      }
+
+      removed[proxy->id] = true;
+      any_node_removed = true;
+    }
+  }
+
+  /* remove nodes */
+  if (any_node_removed) {
+    list<ShaderNode *> newnodes;
+
+    foreach (ShaderNode *node, nodes) {
+      if (!removed[node->id])
+        newnodes.push_back(node);
+      else
+        delete_node(node);
+    }
+
+    nodes = newnodes;
+  }
+}
+
+/* Constant folding.
+ *
+ * Try to constant fold some nodes, and pipe result directly to
+ * the input socket of connected nodes.
+ */
+void ShaderGraph::constant_fold(Scene *scene)
+{
+  ShaderNodeSet done, scheduled;
+  queue<ShaderNode *> traverse_queue;
+
+  bool has_displacement = (output()->input("Displacement")->link != NULL);
+
+  /* Schedule nodes which doesn't have any dependencies. */
+  foreach (ShaderNode *node, nodes) {
+    if (!check_node_inputs_has_links(node)) {
+      traverse_queue.push(node);
+      scheduled.insert(node);
+    }
+  }
+
+  while (!traverse_queue.empty()) {
+    ShaderNode *node = traverse_queue.front();
+    traverse_queue.pop();
+    done.insert(node);
+    foreach (ShaderOutput *output, node->outputs) {
+      if (output->links.size() == 0) {
+        continue;
+      }
+      /* Schedule node which was depending on the value,
+       * when possible. Do it before disconnect.
+       */
+      foreach (ShaderInput *input, output->links) {
+        if (scheduled.find(input->parent) != scheduled.end()) {
+          /* Node might not be optimized yet but scheduled already
+           * by other dependencies. No need to re-schedule it.
+           */
+          continue;
+        }
+        /* Schedule node if its inputs are fully done. */
+        if (check_node_inputs_traversed(input->parent, done)) {
+          traverse_queue.push(input->parent);
+          scheduled.insert(input->parent);
+        }
+      }
+      /* Optimize current node. */
+      ConstantFolder folder(this, node, output, scene);
+      node->constant_fold(folder);
+    }
+  }
+
+  /* Folding might have removed all nodes connected to the displacement output
+   * even tho there is displacement to be applied, so add in a value node if
+   * that happens to ensure there is still a valid graph for displacement.
+   */
+  if (has_displacement && !output()->input("Displacement")->link) {
+    ColorNode *value = (ColorNode *)add(create_node<ColorNode>());
+    value->set_value(output()->get_displacement());
+
+    connect(value->output("Color"), output()->input("Displacement"));
+  }
+}
+
+/* Simplification. */
+void ShaderGraph::simplify_settings(Scene *scene)
+{
+  foreach (ShaderNode *node, nodes) {
+    node->simplify_settings(scene);
+  }
+}
+
+/* Deduplicate nodes with same settings. */
+void ShaderGraph::deduplicate_nodes()
+{
+  /* NOTES:
+   * - Deduplication happens for nodes which has same exact settings and same
+   *   exact input links configuration (either connected to same output or has
+   *   the same exact default value).
+   * - Deduplication happens in the bottom-top manner, so we know for fact that
+   *   all traversed nodes are either can not be deduplicated at all or were
+   *   already deduplicated.
+   */
+
+  ShaderNodeSet scheduled, done;
+  map<ustring, ShaderNodeSet> candidates;
+  queue<ShaderNode *> traverse_queue;
+  int num_deduplicated = 0;
+
+  /* Schedule nodes which doesn't have any dependencies. */
+  foreach (ShaderNode *node, nodes) {
+    if (!check_node_inputs_has_links(node)) {
+      traverse_queue.push(node);
+      scheduled.insert(node);
+    }
+  }
+
+  while (!traverse_queue.empty()) {
+    ShaderNode *node = traverse_queue.front();
+    traverse_queue.pop();
+    done.insert(node);
+    /* Schedule the nodes which were depending on the current node. */
+    bool has_output_links = false;
+    foreach (ShaderOutput *output, node->outputs) {
+      foreach (ShaderInput *input, output->links) {
+        has_output_links = true;
+        if (scheduled.find(input->parent) != scheduled.end()) {
+          /* Node might not be optimized yet but scheduled already
+           * by other dependencies. No need to re-schedule it.
+           */
+          continue;
+        }
+        /* Schedule node if its inputs are fully done. */
+        if (check_node_inputs_traversed(input->parent, done)) {
+          traverse_queue.push(input->parent);
+          scheduled.insert(input->parent);
+        }
+      }
+    }
+    /* Only need to care about nodes that are actually used */
+    if (!has_output_links) {
+      continue;
+    }
+    /* Try to merge this node with another one. */
+    ShaderNode *merge_with = NULL;
+    foreach (ShaderNode *other_node, candidates[node->type->name]) {
+      if (node != other_node && node->equals(*other_node)) {
+        merge_with = other_node;
+        break;
+      }
+    }
+    /* If found an equivalent, merge; otherwise keep node for later merges */
+    if (merge_with != NULL) {
+      for (int i = 0; i < node->outputs.size(); ++i) {
+        relink(node, node->outputs[i], merge_with->outputs[i]);
+      }
+      num_deduplicated++;
+    }
+    else {
+      candidates[node->type->name].insert(node);
+    }
+  }
+
+  if (num_deduplicated > 0) {
+    VLOG(1) << "Deduplicated " << num_deduplicated << " nodes.";
+  }
+}
+
+/* Check whether volume output has meaningful nodes, otherwise
+ * disconnect the output.
+ */
+void ShaderGraph::verify_volume_output()
+{
+  /* Check whether we can optimize the whole volume graph out. */
+  ShaderInput *volume_in = output()->input("Volume");
+  if (volume_in->link == NULL) {
+    return;
+  }
+  bool has_valid_volume = false;
+  ShaderNodeSet scheduled;
+  queue<ShaderNode *> traverse_queue;
+  /* Schedule volume output. */
+  traverse_queue.push(volume_in->link->parent);
+  scheduled.insert(volume_in->link->parent);
+  /* Traverse down the tree. */
+  while (!traverse_queue.empty()) {
+    ShaderNode *node = traverse_queue.front();
+    traverse_queue.pop();
+    /* Node is fully valid for volume, can't optimize anything out. */
+    if (node->has_volume_support()) {
+      has_valid_volume = true;
+      break;
+    }
+    foreach (ShaderInput *input, node->inputs) {
+      if (input->link == NULL) {
+        continue;
+      }
+      if (scheduled.find(input->link->parent) != scheduled.end()) {
+        continue;
+      }
+      traverse_queue.push(input->link->parent);
+      scheduled.insert(input->link->parent);
+    }
+  }
+  if (!has_valid_volume) {
+    VLOG(1) << "Disconnect meaningless volume output.";
+    disconnect(volume_in->link);
+  }
+}
+
+void ShaderGraph::break_cycles(ShaderNode *node, vector<bool> &visited, vector<bool> &on_stack)
+{
+  visited[node->id] = true;
+  on_stack[node->id] = true;
+
+  foreach (ShaderInput *input, node->inputs) {
+    if (input->link) {
+      ShaderNode *depnode = input->link->parent;
+
+      if (on_stack[depnode->id]) {
+        /* break cycle */
+        disconnect(input);
+        fprintf(stderr, "Cycles shader graph: detected cycle in graph, connection removed.\n");
+      }
+      else if (!visited[depnode->id]) {
+        /* visit dependencies */
+        break_cycles(depnode, visited, on_stack);
+      }
+    }
+  }
+
+  on_stack[node->id] = false;
+}
+
+void ShaderGraph::compute_displacement_hash()
+{
+  /* Compute hash of all nodes linked to displacement, to detect if we need
+   * to recompute displacement when shader nodes change. */
+  ShaderInput *displacement_in = output()->input("Displacement");
+
+  if (!displacement_in->link) {
+    displacement_hash = "";
+    return;
+  }
+
+  ShaderNodeSet nodes_displace;
+  find_dependencies(nodes_displace, displacement_in);
+
+  MD5Hash md5;
+  foreach (ShaderNode *node, nodes_displace) {
+    node->hash(md5);
+    foreach (ShaderInput *input, node->inputs) {
+      int link_id = (input->link) ? input->link->parent->id : 0;
+      md5.append((uint8_t *)&link_id, sizeof(link_id));
+      md5.append((input->link) ? input->link->name().c_str() : "");
+    }
+
+    if (node->special_type == SHADER_SPECIAL_TYPE_OSL) {
+      /* Hash takes into account socket values, to detect changes
+       * in the code of the node we need an exception. */
+      OSLNode *oslnode = static_cast<OSLNode *>(node);
+      md5.append(oslnode->bytecode_hash);
+    }
+  }
+
+  displacement_hash = md5.get_hex();
+}
+
+void ShaderGraph::clean(Scene *scene)
+{
+  /* Graph simplification */
+
+  /* NOTE: Remove proxy nodes was already done. */
+  constant_fold(scene);
+  simplify_settings(scene);
+  deduplicate_nodes();
+  verify_volume_output();
+
+  /* we do two things here: find cycles and break them, and remove unused
+   * nodes that don't feed into the output. how cycles are broken is
+   * undefined, they are invalid input, the important thing is to not crash */
+
+  vector<bool> visited(num_node_ids, false);
+  vector<bool> on_stack(num_node_ids, false);
+
+  /* break cycles */
+  break_cycles(output(), visited, on_stack);
+  foreach (ShaderNode *node, nodes) {
+    if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT_AOV) {
+      break_cycles(node, visited, on_stack);
+    }
+  }
+
+  /* disconnect unused nodes */
+  foreach (ShaderNode *node, nodes) {
+    if (!visited[node->id]) {
+      foreach (ShaderInput *to, node->inputs) {
+        ShaderOutput *from = to->link;
+
+        if (from) {
+          to->link = NULL;
+          from->links.erase(remove(from->links.begin(), from->links.end(), to), from->links.end());
+        }
+      }
+    }
+  }
+
+  /* remove unused nodes */
+  list<ShaderNode *> newnodes;
+
+  foreach (ShaderNode *node, nodes) {
+    if (visited[node->id])
+      newnodes.push_back(node);
+    else
+      delete_node(node);
+  }
+
+  nodes = newnodes;
+}
+
+void ShaderGraph::expand()
+{
+  /* Call expand on all nodes, to generate additional nodes. */
+  foreach (ShaderNode *node, nodes) {
+    node->expand(this);
+  }
+}
+
+void ShaderGraph::default_inputs(bool do_osl)
+{
+  /* nodes can specify default texture coordinates, for now we give
+   * everything the position by default, except for the sky texture */
+
+  ShaderNode *geom = NULL;
+  ShaderNode *texco = NULL;
+
+  foreach (ShaderNode *node, nodes) {
+    foreach (ShaderInput *input, node->inputs) {
+      if (!input->link && (!(input->flags() & SocketType::OSL_INTERNAL) || do_osl)) {
+        if (input->flags() & SocketType::LINK_TEXTURE_GENERATED) {
+          if (!texco)
+            texco = create_node<TextureCoordinateNode>();
+
+          connect(texco->output("Generated"), input);
+        }
+        if (input->flags() & SocketType::LINK_TEXTURE_NORMAL) {
+          if (!texco)
+            texco = create_node<TextureCoordinateNode>();
+
+          connect(texco->output("Normal"), input);
+        }
+        else if (input->flags() & SocketType::LINK_TEXTURE_UV) {
+          if (!texco)
+            texco = create_node<TextureCoordinateNode>();
+
+          connect(texco->output("UV"), input);
+        }
+        else if (input->flags() & SocketType::LINK_INCOMING) {
+          if (!geom)
+            geom = create_node<GeometryNode>();
+
+          connect(geom->output("Incoming"), input);
+        }
+        else if (input->flags() & SocketType::LINK_NORMAL) {
+          if (!geom)
+            geom = create_node<GeometryNode>();
+
+          connect(geom->output("Normal"), input);
+        }
+        else if (input->flags() & SocketType::LINK_POSITION) {
+          if (!geom)
+            geom = create_node<GeometryNode>();
+
+          connect(geom->output("Position"), input);
+        }
+        else if (input->flags() & SocketType::LINK_TANGENT) {
+          if (!geom)
+            geom = create_node<GeometryNode>();
+
+          connect(geom->output("Tangent"), input);
+        }
+      }
+    }
+  }
+
+  if (geom)
+    add(geom);
+  if (texco)
+    add(texco);
+}
+
+void ShaderGraph::refine_bump_nodes()
+{
+  /* we transverse the node graph looking for bump nodes, when we find them,
+   * like in bump_from_displacement(), we copy the sub-graph defined from "bump"
+   * input to the inputs "center","dx" and "dy" What is in "bump" input is moved
+   * to "center" input. */
+
+  foreach (ShaderNode *node, nodes) {
+    if (node->special_type == SHADER_SPECIAL_TYPE_BUMP && node->input("Height")->link) {
+      ShaderInput *bump_input = node->input("Height");
+      ShaderNodeSet nodes_bump;
+
+      /* make 2 extra copies of the subgraph defined in Bump input */
+      ShaderNodeMap nodes_dx;
+      ShaderNodeMap nodes_dy;
+
+      /* find dependencies for the given input */
+      find_dependencies(nodes_bump, bump_input);
+
+      copy_nodes(nodes_bump, nodes_dx);
+      copy_nodes(nodes_bump, nodes_dy);
+
+      /* mark nodes to indicate they are use for bump computation, so
+         that any texture coordinates are shifted by dx/dy when sampling */
+      foreach (ShaderNode *node, nodes_bump)
+        node->bump = SHADER_BUMP_CENTER;
+      foreach (NodePair &pair, nodes_dx)
+        pair.second->bump = SHADER_BUMP_DX;
+      foreach (NodePair &pair, nodes_dy)
+        pair.second->bump = SHADER_BUMP_DY;
+
+      ShaderOutput *out = bump_input->link;
+      ShaderOutput *out_dx = nodes_dx[out->parent]->output(out->name());
+      ShaderOutput *out_dy = nodes_dy[out->parent]->output(out->name());
+
+      connect(out_dx, node->input("SampleX"));
+      connect(out_dy, node->input("SampleY"));
+
+      /* add generated nodes */
+      foreach (NodePair &pair, nodes_dx)
+        add(pair.second);
+      foreach (NodePair &pair, nodes_dy)
+        add(pair.second);
+
+      /* Connect what is connected is bump to sample-center input. */
+      connect(out, node->input("SampleCenter"));
+
+      /* Bump input is just for connectivity purpose for the graph input,
+       * we re-connected this input to sample-center, so lets disconnect it
+       * from bump input. */
+      disconnect(bump_input);
+    }
+  }
+}
+
+void ShaderGraph::bump_from_displacement(bool use_object_space)
+{
+  /* generate bump mapping automatically from displacement. bump mapping is
+   * done using a 3-tap filter, computing the displacement at the center,
+   * and two other positions shifted by ray differentials.
+   *
+   * since the input to displacement is a node graph, we need to ensure that
+   * all texture coordinates use are shift by the ray differentials. for this
+   * reason we make 3 copies of the node subgraph defining the displacement,
+   * with each different geometry and texture coordinate nodes that generate
+   * different shifted coordinates.
+   *
+   * these 3 displacement values are then fed into the bump node, which will
+   * output the perturbed normal. */
+
+  ShaderInput *displacement_in = output()->input("Displacement");
+
+  if (!displacement_in->link)
+    return;
+
+  /* find dependencies for the given input */
+  ShaderNodeSet nodes_displace;
+  find_dependencies(nodes_displace, displacement_in);
+
+  /* copy nodes for 3 bump samples */
+  ShaderNodeMap nodes_center;
+  ShaderNodeMap nodes_dx;
+  ShaderNodeMap nodes_dy;
+
+  copy_nodes(nodes_displace, nodes_center);
+  copy_nodes(nodes_displace, nodes_dx);
+  copy_nodes(nodes_displace, nodes_dy);
+
+  /* mark nodes to indicate they are use for bump computation, so
+   * that any texture coordinates are shifted by dx/dy when sampling */
+  foreach (NodePair &pair, nodes_center)
+    pair.second->bump = SHADER_BUMP_CENTER;
+  foreach (NodePair &pair, nodes_dx)
+    pair.second->bump = SHADER_BUMP_DX;
+  foreach (NodePair &pair, nodes_dy)
+    pair.second->bump = SHADER_BUMP_DY;
+
+  /* add set normal node and connect the bump normal output to the set normal
+   * output, so it can finally set the shader normal, note we are only doing
+   * this for bump from displacement, this will be the only bump allowed to
+   * overwrite the shader normal */
+  ShaderNode *set_normal = add(create_node<SetNormalNode>());
+
+  /* add bump node and connect copied graphs to it */
+  BumpNode *bump = (BumpNode *)add(create_node<BumpNode>());
+  bump->set_use_object_space(use_object_space);
+  bump->set_distance(1.0f);
+
+  ShaderOutput *out = displacement_in->link;
+  ShaderOutput *out_center = nodes_center[out->parent]->output(out->name());
+  ShaderOutput *out_dx = nodes_dx[out->parent]->output(out->name());
+  ShaderOutput *out_dy = nodes_dy[out->parent]->output(out->name());
+
+  /* convert displacement vector to height */
+  VectorMathNode *dot_center = (VectorMathNode *)add(create_node<VectorMathNode>());
+  VectorMathNode *dot_dx = (VectorMathNode *)add(create_node<VectorMathNode>());
+  VectorMathNode *dot_dy = (VectorMathNode *)add(create_node<VectorMathNode>());
+
+  dot_center->set_math_type(NODE_VECTOR_MATH_DOT_PRODUCT);
+  dot_dx->set_math_type(NODE_VECTOR_MATH_DOT_PRODUCT);
+  dot_dy->set_math_type(NODE_VECTOR_MATH_DOT_PRODUCT);
+
+  GeometryNode *geom = (GeometryNode *)add(create_node<GeometryNode>());
+  connect(geom->output("Normal"), dot_center->input("Vector2"));
+  connect(geom->output("Normal"), dot_dx->input("Vector2"));
+  connect(geom->output("Normal"), dot_dy->input("Vector2"));
+
+  connect(out_center, dot_center->input("Vector1"));
+  connect(out_dx, dot_dx->input("Vector1"));
+  connect(out_dy, dot_dy->input("Vector1"));
+
+  connect(dot_center->output("Value"), bump->input("SampleCenter"));
+  connect(dot_dx->output("Value"), bump->input("SampleX"));
+  connect(dot_dy->output("Value"), bump->input("SampleY"));
+
+  /* connect the bump out to the set normal in: */
+  connect(bump->output("Normal"), set_normal->input("Direction"));
+
+  /* connect to output node */
+  connect(set_normal->output("Normal"), output()->input("Normal"));
+
+  /* finally, add the copied nodes to the graph. we can't do this earlier
+   * because we would create dependency cycles in the above loop */
+  foreach (NodePair &pair, nodes_center)
+    add(pair.second);
+  foreach (NodePair &pair, nodes_dx)
+    add(pair.second);
+  foreach (NodePair &pair, nodes_dy)
+    add(pair.second);
+}
+
+void ShaderGraph::transform_multi_closure(ShaderNode *node, ShaderOutput *weight_out, bool volume)
+{
+  /* for SVM in multi closure mode, this transforms the shader mix/add part of
+   * the graph into nodes that feed weights into closure nodes. this is too
+   * avoid building a closure tree and then flattening it, and instead write it
+   * directly to an array */
+
+  if (node->special_type == SHADER_SPECIAL_TYPE_COMBINE_CLOSURE) {
+    ShaderInput *fin = node->input("Fac");
+    ShaderInput *cl1in = node->input("Closure1");
+    ShaderInput *cl2in = node->input("Closure2");
+    ShaderOutput *weight1_out, *weight2_out;
+
+    if (fin) {
+      /* mix closure: add node to mix closure weights */
+      MixClosureWeightNode *mix_node = create_node<MixClosureWeightNode>();
+      add(mix_node);
+      ShaderInput *fac_in = mix_node->input("Fac");
+      ShaderInput *weight_in = mix_node->input("Weight");
+
+      if (fin->link)
+        connect(fin->link, fac_in);
+      else
+        mix_node->set_fac(node->get_float(fin->socket_type));
+
+      if (weight_out)
+        connect(weight_out, weight_in);
+
+      weight1_out = mix_node->output("Weight1");
+      weight2_out = mix_node->output("Weight2");
+    }
+    else {
+      /* add closure: just pass on any weights */
+      weight1_out = weight_out;
+      weight2_out = weight_out;
+    }
+
+    if (cl1in->link)
+      transform_multi_closure(cl1in->link->parent, weight1_out, volume);
+    if (cl2in->link)
+      transform_multi_closure(cl2in->link->parent, weight2_out, volume);
+  }
+  else {
+    ShaderInput *weight_in = node->input((volume) ? "VolumeMixWeight" : "SurfaceMixWeight");
+
+    /* not a closure node? */
+    if (!weight_in)
+      return;
+
+    /* already has a weight connected to it? add weights */
+    float weight_value = node->get_float(weight_in->socket_type);
+    if (weight_in->link || weight_value != 0.0f) {
+      MathNode *math_node = create_node<MathNode>();
+      add(math_node);
+
+      if (weight_in->link)
+        connect(weight_in->link, math_node->input("Value1"));
+      else
+        math_node->set_value1(weight_value);
+
+      if (weight_out)
+        connect(weight_out, math_node->input("Value2"));
+      else
+        math_node->set_value2(1.0f);
+
+      weight_out = math_node->output("Value");
+      if (weight_in->link)
+        disconnect(weight_in);
+    }
+
+    /* connected to closure mix weight */
+    if (weight_out)
+      connect(weight_out, weight_in);
+    else
+      node->set(weight_in->socket_type, weight_value + 1.0f);
+  }
+}
+
+int ShaderGraph::get_num_closures()
+{
+  int num_closures = 0;
+  foreach (ShaderNode *node, nodes) {
+    ClosureType closure_type = node->get_closure_type();
+    if (closure_type == CLOSURE_NONE_ID) {
+      continue;
+    }
+    else if (CLOSURE_IS_BSSRDF(closure_type)) {
+      num_closures += 3;
+    }
+    else if (CLOSURE_IS_GLASS(closure_type)) {
+      num_closures += 2;
+    }
+    else if (CLOSURE_IS_BSDF_MULTISCATTER(closure_type)) {
+      num_closures += 2;
+    }
+    else if (CLOSURE_IS_PRINCIPLED(closure_type)) {
+      num_closures += 8;
+    }
+    else if (CLOSURE_IS_VOLUME(closure_type)) {
+      /* TODO(sergey): Verify this is still needed, since we have special minimized volume storage
+       * for the volume steps. */
+      num_closures += MAX_VOLUME_STACK_SIZE;
+    }
+    else if (closure_type == CLOSURE_BSDF_HAIR_PRINCIPLED_ID) {
+      num_closures += 4;
+    }
+    else {
+      ++num_closures;
+    }
+  }
+  return num_closures;
+}
+
+void ShaderGraph::dump_graph(const char *filename)
+{
+  FILE *fd = fopen(filename, "w");
+
+  if (fd == NULL) {
+    printf("Error opening file for dumping the graph: %s\n", filename);
+    return;
+  }
+
+  fprintf(fd, "digraph shader_graph {\n");
+  fprintf(fd, "ranksep=1.5\n");
+  fprintf(fd, "rankdir=LR\n");
+  fprintf(fd, "splines=false\n");
+
+  foreach (ShaderNode *node, nodes) {
+    fprintf(fd, "// NODE: %p\n", node);
+    fprintf(fd, "\"%p\" [shape=record,label=\"{", node);
+    if (node->inputs.size()) {
+      fprintf(fd, "{");
+      foreach (ShaderInput *socket, node->inputs) {
+        if (socket != node->inputs[0]) {
+          fprintf(fd, "|");
+        }
+        fprintf(fd, "<IN_%p>%s", socket, socket->name().c_str());
+      }
+      fprintf(fd, "}|");
+    }
+    fprintf(fd, "%s", node->name.c_str());
+    if (node->bump == SHADER_BUMP_CENTER) {
+      fprintf(fd, " (bump:center)");
+    }
+    else if (node->bump == SHADER_BUMP_DX) {
+      fprintf(fd, " (bump:dx)");
+    }
+    else if (node->bump == SHADER_BUMP_DY) {
+      fprintf(fd, " (bump:dy)");
+    }
+    if (node->outputs.size()) {
+      fprintf(fd, "|{");
+      foreach (ShaderOutput *socket, node->outputs) {
+        if (socket != node->outputs[0]) {
+          fprintf(fd, "|");
+        }
+        fprintf(fd, "<OUT_%p>%s", socket, socket->name().c_str());
+      }
+      fprintf(fd, "}");
+    }
+    fprintf(fd, "}\"]");
+  }
+
+  foreach (ShaderNode *node, nodes) {
+    foreach (ShaderOutput *output, node->outputs) {
+      foreach (ShaderInput *input, output->links) {
+        fprintf(fd,
+                "// CONNECTION: OUT_%p->IN_%p (%s:%s)\n",
+                output,
+                input,
+                output->name().c_str(),
+                input->name().c_str());
+        fprintf(fd,
+                "\"%p\":\"OUT_%p\":e -> \"%p\":\"IN_%p\":w [label=\"\"]\n",
+                output->parent,
+                output,
+                input->parent,
+                input);
+      }
+    }
+  }
+
+  fprintf(fd, "}\n");
+  fclose(fd);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/shader_graph.h b/intern/cycles/scene/shader_graph.h
new file mode 100644
index 00000000000..3584754fad1
--- /dev/null
+++ b/intern/cycles/scene/shader_graph.h
@@ -0,0 +1,385 @@
+/*
+ * Copyright 2011-2016 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __GRAPH_H__
+#define __GRAPH_H__
+
+#include "graph/node.h"
+#include "graph/node_type.h"
+
+#include "kernel/kernel_types.h"
+
+#include "util/util_list.h"
+#include "util/util_map.h"
+#include "util/util_param.h"
+#include "util/util_set.h"
+#include "util/util_types.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class AttributeRequestSet;
+class Scene;
+class Shader;
+class ShaderInput;
+class ShaderOutput;
+class ShaderNode;
+class ShaderGraph;
+class SVMCompiler;
+class OSLCompiler;
+class OutputNode;
+class ConstantFolder;
+class MD5Hash;
+
+/* Bump
+ *
+ * For bump mapping, a node may be evaluated multiple times, using different
+ * samples to reconstruct the normal, this indicates the sample position */
+
+enum ShaderBump { SHADER_BUMP_NONE, SHADER_BUMP_CENTER, SHADER_BUMP_DX, SHADER_BUMP_DY };
+
+/* Identifiers for some special node types.
+ *
+ * The graph needs to identify these in the clean function.
+ * Cannot use dynamic_cast, as this is disabled for OSL. */
+
+enum ShaderNodeSpecialType {
+  SHADER_SPECIAL_TYPE_NONE,
+  SHADER_SPECIAL_TYPE_PROXY,
+  SHADER_SPECIAL_TYPE_AUTOCONVERT,
+  SHADER_SPECIAL_TYPE_GEOMETRY,
+  SHADER_SPECIAL_TYPE_OSL,
+  SHADER_SPECIAL_TYPE_IMAGE_SLOT,
+  SHADER_SPECIAL_TYPE_CLOSURE,
+  SHADER_SPECIAL_TYPE_COMBINE_CLOSURE,
+  SHADER_SPECIAL_TYPE_OUTPUT,
+  SHADER_SPECIAL_TYPE_BUMP,
+  SHADER_SPECIAL_TYPE_OUTPUT_AOV,
+};
+
+/* Input
+ *
+ * Input socket for a shader node. May be linked to an output or not. If not
+ * linked, it will either get a fixed default value, or e.g. a texture
+ * coordinate. */
+
+class ShaderInput {
+ public:
+  ShaderInput(const SocketType &socket_type_, ShaderNode *parent_)
+      : socket_type(socket_type_),
+        parent(parent_),
+        link(NULL),
+        stack_offset(SVM_STACK_INVALID),
+        constant_folded_in(false)
+  {
+  }
+
+  ustring name()
+  {
+    return socket_type.ui_name;
+  }
+  int flags()
+  {
+    return socket_type.flags;
+  }
+  SocketType::Type type()
+  {
+    return socket_type.type;
+  }
+
+  void set(float f)
+  {
+    ((Node *)parent)->set(socket_type, f);
+  }
+  void set(float3 f)
+  {
+    ((Node *)parent)->set(socket_type, f);
+  }
+
+  void disconnect();
+
+  const SocketType &socket_type;
+  ShaderNode *parent;
+  ShaderOutput *link;
+  int stack_offset; /* for SVM compiler */
+
+  /* Keeps track of whether a constant was folded in this socket, to avoid over-optimizing when the
+   * link is null. */
+  bool constant_folded_in;
+};
+
+/* Output
+ *
+ * Output socket for a shader node. */
+
+class ShaderOutput {
+ public:
+  ShaderOutput(const SocketType &socket_type_, ShaderNode *parent_)
+      : socket_type(socket_type_), parent(parent_), stack_offset(SVM_STACK_INVALID)
+  {
+  }
+
+  ustring name()
+  {
+    return socket_type.ui_name;
+  }
+  SocketType::Type type()
+  {
+    return socket_type.type;
+  }
+
+  void disconnect();
+
+  const SocketType &socket_type;
+  ShaderNode *parent;
+  vector<ShaderInput *> links;
+  int stack_offset; /* for SVM compiler */
+};
+
+/* Node
+ *
+ * Shader node in graph, with input and output sockets. This is the virtual
+ * base class for all node types. */
+
+class ShaderNode : public Node {
+ public:
+  explicit ShaderNode(const NodeType *type);
+  virtual ~ShaderNode();
+
+  void create_inputs_outputs(const NodeType *type);
+  void remove_input(ShaderInput *input);
+
+  ShaderInput *input(const char *name);
+  ShaderOutput *output(const char *name);
+  ShaderInput *input(ustring name);
+  ShaderOutput *output(ustring name);
+
+  virtual ShaderNode *clone(ShaderGraph *graph) const = 0;
+  virtual void attributes(Shader *shader, AttributeRequestSet *attributes);
+  virtual void compile(SVMCompiler &compiler) = 0;
+  virtual void compile(OSLCompiler &compiler) = 0;
+
+  /* Expand node into additional nodes. */
+  virtual void expand(ShaderGraph * /* graph */)
+  {
+  }
+
+  /* ** Node optimization ** */
+  /* Check whether the node can be replaced with single constant. */
+  virtual void constant_fold(const ConstantFolder & /*folder*/)
+  {
+  }
+
+  /* Simplify settings used by artists to the ones which are simpler to
+   * evaluate in the kernel but keep the final result unchanged.
+   */
+  virtual void simplify_settings(Scene * /*scene*/){};
+
+  virtual bool has_surface_emission()
+  {
+    return false;
+  }
+  virtual bool has_surface_transparent()
+  {
+    return false;
+  }
+  virtual bool has_surface_bssrdf()
+  {
+    return false;
+  }
+  virtual bool has_bump()
+  {
+    return false;
+  }
+  virtual bool has_bssrdf_bump()
+  {
+    return false;
+  }
+  virtual bool has_spatial_varying()
+  {
+    return false;
+  }
+  virtual bool has_attribute_dependency()
+  {
+    return false;
+  }
+  virtual bool has_integrator_dependency()
+  {
+    return false;
+  }
+  virtual bool has_volume_support()
+  {
+    return false;
+  }
+  vector<ShaderInput *> inputs;
+  vector<ShaderOutput *> outputs;
+
+  int id;          /* index in graph node array */
+  ShaderBump bump; /* for bump mapping utility */
+
+  ShaderNodeSpecialType special_type; /* special node type */
+
+  /* ** Selective nodes compilation ** */
+
+  /* TODO(sergey): More explicitly mention in the function names
+   * that those functions are for selective compilation only?
+   */
+
+  /* Node feature are used to disable huge nodes inside the group,
+   * so it's possible to disable huge nodes inside of the required
+   * nodes group.
+   */
+  virtual int get_feature()
+  {
+    return bump == SHADER_BUMP_NONE ? 0 : KERNEL_FEATURE_NODE_BUMP;
+  }
+
+  /* Get closure ID to which the node compiles into. */
+  virtual ClosureType get_closure_type()
+  {
+    return CLOSURE_NONE_ID;
+  }
+
+  /* Check whether settings of the node equals to another one.
+   *
+   * This is mainly used to check whether two nodes can be merged
+   * together. Meaning, runtime stuff like node id and unbound slots
+   * will be ignored for comparison.
+   *
+   * NOTE: If some node can't be de-duplicated for whatever reason it
+   * is to be handled in the subclass.
+   */
+  virtual bool equals(const ShaderNode &other);
+};
+
+/* Node definition utility macros */
+
+#define SHADER_NODE_CLASS(type) \
+  NODE_DECLARE \
+  type(); \
+  virtual ShaderNode *clone(ShaderGraph *graph) const \
+  { \
+    return graph->create_node<type>(*this); \
+  } \
+  virtual void compile(SVMCompiler &compiler); \
+  virtual void compile(OSLCompiler &compiler);
+
+#define SHADER_NODE_NO_CLONE_CLASS(type) \
+  NODE_DECLARE \
+  type(); \
+  virtual void compile(SVMCompiler &compiler); \
+  virtual void compile(OSLCompiler &compiler);
+
+#define SHADER_NODE_BASE_CLASS(type) \
+  virtual ShaderNode *clone(ShaderGraph *graph) const \
+  { \
+    return graph->create_node<type>(*this); \
+  } \
+  virtual void compile(SVMCompiler &compiler); \
+  virtual void compile(OSLCompiler &compiler);
+
+class ShaderNodeIDComparator {
+ public:
+  bool operator()(const ShaderNode *n1, const ShaderNode *n2) const
+  {
+    return n1->id < n2->id;
+  }
+};
+
+typedef set<ShaderNode *, ShaderNodeIDComparator> ShaderNodeSet;
+typedef map<ShaderNode *, ShaderNode *, ShaderNodeIDComparator> ShaderNodeMap;
+
+/* Graph
+ *
+ * Shader graph of nodes. Also does graph manipulations for default inputs,
+ * bump mapping from displacement, and possibly other things in the future. */
+
+class ShaderGraph : public NodeOwner {
+ public:
+  list<ShaderNode *> nodes;
+  size_t num_node_ids;
+  bool finalized;
+  bool simplified;
+  string displacement_hash;
+
+  ShaderGraph();
+  ~ShaderGraph();
+
+  ShaderNode *add(ShaderNode *node);
+  OutputNode *output();
+
+  void connect(ShaderOutput *from, ShaderInput *to);
+  void disconnect(ShaderOutput *from);
+  void disconnect(ShaderInput *to);
+  void relink(ShaderInput *from, ShaderInput *to);
+  void relink(ShaderOutput *from, ShaderOutput *to);
+  void relink(ShaderNode *node, ShaderOutput *from, ShaderOutput *to);
+
+  void remove_proxy_nodes();
+  void compute_displacement_hash();
+  void simplify(Scene *scene);
+  void finalize(Scene *scene,
+                bool do_bump = false,
+                bool do_simplify = false,
+                bool bump_in_object_space = false);
+
+  int get_num_closures();
+
+  void dump_graph(const char *filename);
+
+  /* This function is used to create a node of a specified type instead of
+   * calling 'new', and sets the graph as the owner of the node.
+   */
+  template<typename T, typename... Args> T *create_node(Args &&...args)
+  {
+    T *node = new T(args...);
+    node->set_owner(this);
+    return node;
+  }
+
+  /* This function is used to delete a node created and owned by the graph.
+   */
+  template<typename T> void delete_node(T *node)
+  {
+    assert(node->get_owner() == this);
+    delete node;
+  }
+
+ protected:
+  typedef pair<ShaderNode *const, ShaderNode *> NodePair;
+
+  void find_dependencies(ShaderNodeSet &dependencies, ShaderInput *input);
+  void clear_nodes();
+  void copy_nodes(ShaderNodeSet &nodes, ShaderNodeMap &nnodemap);
+
+  void break_cycles(ShaderNode *node, vector<bool> &visited, vector<bool> &on_stack);
+  void bump_from_displacement(bool use_object_space);
+  void refine_bump_nodes();
+  void expand();
+  void default_inputs(bool do_osl);
+  void transform_multi_closure(ShaderNode *node, ShaderOutput *weight_out, bool volume);
+
+  /* Graph simplification routines. */
+  void clean(Scene *scene);
+  void constant_fold(Scene *scene);
+  void simplify_settings(Scene *scene);
+  void deduplicate_nodes();
+  void verify_volume_output();
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __GRAPH_H__ */
diff --git a/intern/cycles/scene/shader_nodes.cpp b/intern/cycles/scene/shader_nodes.cpp
new file mode 100644
index 00000000000..d7fc7ae1c27
--- /dev/null
+++ b/intern/cycles/scene/shader_nodes.cpp
@@ -0,0 +1,7171 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/shader_nodes.h"
+#include "scene/colorspace.h"
+#include "scene/constant_fold.h"
+#include "scene/film.h"
+#include "scene/image.h"
+#include "scene/image_sky.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/osl.h"
+#include "scene/scene.h"
+#include "scene/svm.h"
+
+#include "sky_model.h"
+
+#include "util/util_color.h"
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_transform.h"
+
+#include "kernel/svm/svm_color_util.h"
+#include "kernel/svm/svm_mapping_util.h"
+#include "kernel/svm/svm_math_util.h"
+#include "kernel/svm/svm_ramp_util.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Texture Mapping */
+
+#define TEXTURE_MAPPING_DEFINE(TextureNode) \
+  SOCKET_POINT(tex_mapping.translation, "Translation", zero_float3()); \
+  SOCKET_VECTOR(tex_mapping.rotation, "Rotation", zero_float3()); \
+  SOCKET_VECTOR(tex_mapping.scale, "Scale", one_float3()); \
+\
+  SOCKET_VECTOR(tex_mapping.min, "Min", make_float3(-FLT_MAX, -FLT_MAX, -FLT_MAX)); \
+  SOCKET_VECTOR(tex_mapping.max, "Max", make_float3(FLT_MAX, FLT_MAX, FLT_MAX)); \
+  SOCKET_BOOLEAN(tex_mapping.use_minmax, "Use Min Max", false); \
+\
+  static NodeEnum mapping_axis_enum; \
+  mapping_axis_enum.insert("none", TextureMapping::NONE); \
+  mapping_axis_enum.insert("x", TextureMapping::X); \
+  mapping_axis_enum.insert("y", TextureMapping::Y); \
+  mapping_axis_enum.insert("z", TextureMapping::Z); \
+  SOCKET_ENUM(tex_mapping.x_mapping, "x_mapping", mapping_axis_enum, TextureMapping::X); \
+  SOCKET_ENUM(tex_mapping.y_mapping, "y_mapping", mapping_axis_enum, TextureMapping::Y); \
+  SOCKET_ENUM(tex_mapping.z_mapping, "z_mapping", mapping_axis_enum, TextureMapping::Z); \
+\
+  static NodeEnum mapping_type_enum; \
+  mapping_type_enum.insert("point", TextureMapping::POINT); \
+  mapping_type_enum.insert("texture", TextureMapping::TEXTURE); \
+  mapping_type_enum.insert("vector", TextureMapping::VECTOR); \
+  mapping_type_enum.insert("normal", TextureMapping::NORMAL); \
+  SOCKET_ENUM(tex_mapping.type, "Type", mapping_type_enum, TextureMapping::TEXTURE); \
+\
+  static NodeEnum mapping_projection_enum; \
+  mapping_projection_enum.insert("flat", TextureMapping::FLAT); \
+  mapping_projection_enum.insert("cube", TextureMapping::CUBE); \
+  mapping_projection_enum.insert("tube", TextureMapping::TUBE); \
+  mapping_projection_enum.insert("sphere", TextureMapping::SPHERE); \
+  SOCKET_ENUM(tex_mapping.projection, "Projection", mapping_projection_enum, TextureMapping::FLAT);
+
+TextureMapping::TextureMapping()
+{
+}
+
+Transform TextureMapping::compute_transform()
+{
+  Transform mmat = transform_scale(zero_float3());
+
+  if (x_mapping != NONE)
+    mmat[0][x_mapping - 1] = 1.0f;
+  if (y_mapping != NONE)
+    mmat[1][y_mapping - 1] = 1.0f;
+  if (z_mapping != NONE)
+    mmat[2][z_mapping - 1] = 1.0f;
+
+  float3 scale_clamped = scale;
+
+  if (type == TEXTURE || type == NORMAL) {
+    /* keep matrix invertible */
+    if (fabsf(scale.x) < 1e-5f)
+      scale_clamped.x = signf(scale.x) * 1e-5f;
+    if (fabsf(scale.y) < 1e-5f)
+      scale_clamped.y = signf(scale.y) * 1e-5f;
+    if (fabsf(scale.z) < 1e-5f)
+      scale_clamped.z = signf(scale.z) * 1e-5f;
+  }
+
+  Transform smat = transform_scale(scale_clamped);
+  Transform rmat = transform_euler(rotation);
+  Transform tmat = transform_translate(translation);
+
+  Transform mat;
+
+  switch (type) {
+    case TEXTURE:
+      /* inverse transform on texture coordinate gives
+       * forward transform on texture */
+      mat = tmat * rmat * smat;
+      mat = transform_inverse(mat);
+      break;
+    case POINT:
+      /* full transform */
+      mat = tmat * rmat * smat;
+      break;
+    case VECTOR:
+      /* no translation for vectors */
+      mat = rmat * smat;
+      break;
+    case NORMAL:
+      /* no translation for normals, and inverse transpose */
+      mat = rmat * smat;
+      mat = transform_transposed_inverse(mat);
+      break;
+  }
+
+  /* projection last */
+  mat = mat * mmat;
+
+  return mat;
+}
+
+bool TextureMapping::skip()
+{
+  if (translation != zero_float3())
+    return false;
+  if (rotation != zero_float3())
+    return false;
+  if (scale != one_float3())
+    return false;
+
+  if (x_mapping != X || y_mapping != Y || z_mapping != Z)
+    return false;
+  if (use_minmax)
+    return false;
+
+  return true;
+}
+
+void TextureMapping::compile(SVMCompiler &compiler, int offset_in, int offset_out)
+{
+  compiler.add_node(NODE_TEXTURE_MAPPING, offset_in, offset_out);
+
+  Transform tfm = compute_transform();
+  compiler.add_node(tfm.x);
+  compiler.add_node(tfm.y);
+  compiler.add_node(tfm.z);
+
+  if (use_minmax) {
+    compiler.add_node(NODE_MIN_MAX, offset_out, offset_out);
+    compiler.add_node(float3_to_float4(min));
+    compiler.add_node(float3_to_float4(max));
+  }
+
+  if (type == NORMAL) {
+    compiler.add_node(NODE_VECTOR_MATH,
+                      NODE_VECTOR_MATH_NORMALIZE,
+                      compiler.encode_uchar4(offset_out, offset_out, offset_out),
+                      compiler.encode_uchar4(SVM_STACK_INVALID, offset_out));
+  }
+}
+
+/* Convenience function for texture nodes, allocating stack space to output
+ * a modified vector and returning its offset */
+int TextureMapping::compile_begin(SVMCompiler &compiler, ShaderInput *vector_in)
+{
+  if (!skip()) {
+    int offset_in = compiler.stack_assign(vector_in);
+    int offset_out = compiler.stack_find_offset(SocketType::VECTOR);
+
+    compile(compiler, offset_in, offset_out);
+
+    return offset_out;
+  }
+
+  return compiler.stack_assign(vector_in);
+}
+
+void TextureMapping::compile_end(SVMCompiler &compiler, ShaderInput *vector_in, int vector_offset)
+{
+  if (!skip()) {
+    compiler.stack_clear_offset(vector_in->type(), vector_offset);
+  }
+}
+
+void TextureMapping::compile(OSLCompiler &compiler)
+{
+  if (!skip()) {
+    compiler.parameter("mapping", compute_transform());
+    compiler.parameter("use_mapping", 1);
+  }
+}
+
+/* Image Texture */
+
+NODE_DEFINE(ImageTextureNode)
+{
+  NodeType *type = NodeType::add("image_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(ImageTextureNode);
+
+  SOCKET_STRING(filename, "Filename", ustring());
+  SOCKET_STRING(colorspace, "Colorspace", u_colorspace_auto);
+
+  static NodeEnum alpha_type_enum;
+  alpha_type_enum.insert("auto", IMAGE_ALPHA_AUTO);
+  alpha_type_enum.insert("unassociated", IMAGE_ALPHA_UNASSOCIATED);
+  alpha_type_enum.insert("associated", IMAGE_ALPHA_ASSOCIATED);
+  alpha_type_enum.insert("channel_packed", IMAGE_ALPHA_CHANNEL_PACKED);
+  alpha_type_enum.insert("ignore", IMAGE_ALPHA_IGNORE);
+  SOCKET_ENUM(alpha_type, "Alpha Type", alpha_type_enum, IMAGE_ALPHA_AUTO);
+
+  static NodeEnum interpolation_enum;
+  interpolation_enum.insert("closest", INTERPOLATION_CLOSEST);
+  interpolation_enum.insert("linear", INTERPOLATION_LINEAR);
+  interpolation_enum.insert("cubic", INTERPOLATION_CUBIC);
+  interpolation_enum.insert("smart", INTERPOLATION_SMART);
+  SOCKET_ENUM(interpolation, "Interpolation", interpolation_enum, INTERPOLATION_LINEAR);
+
+  static NodeEnum extension_enum;
+  extension_enum.insert("periodic", EXTENSION_REPEAT);
+  extension_enum.insert("clamp", EXTENSION_EXTEND);
+  extension_enum.insert("black", EXTENSION_CLIP);
+  SOCKET_ENUM(extension, "Extension", extension_enum, EXTENSION_REPEAT);
+
+  static NodeEnum projection_enum;
+  projection_enum.insert("flat", NODE_IMAGE_PROJ_FLAT);
+  projection_enum.insert("box", NODE_IMAGE_PROJ_BOX);
+  projection_enum.insert("sphere", NODE_IMAGE_PROJ_SPHERE);
+  projection_enum.insert("tube", NODE_IMAGE_PROJ_TUBE);
+  SOCKET_ENUM(projection, "Projection", projection_enum, NODE_IMAGE_PROJ_FLAT);
+
+  SOCKET_FLOAT(projection_blend, "Projection Blend", 0.0f);
+
+  SOCKET_INT_ARRAY(tiles, "Tiles", array<int>());
+  SOCKET_BOOLEAN(animated, "Animated", false);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_UV);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(alpha, "Alpha");
+
+  return type;
+}
+
+ImageTextureNode::ImageTextureNode() : ImageSlotTextureNode(get_node_type())
+{
+  colorspace = u_colorspace_raw;
+  animated = false;
+  tiles.push_back_slow(1001);
+}
+
+ShaderNode *ImageTextureNode::clone(ShaderGraph *graph) const
+{
+  ImageTextureNode *node = graph->create_node<ImageTextureNode>(*this);
+  node->handle = handle;
+  return node;
+}
+
+ImageParams ImageTextureNode::image_params() const
+{
+  ImageParams params;
+  params.animated = animated;
+  params.interpolation = interpolation;
+  params.extension = extension;
+  params.alpha_type = alpha_type;
+  params.colorspace = colorspace;
+  return params;
+}
+
+void ImageTextureNode::cull_tiles(Scene *scene, ShaderGraph *graph)
+{
+  /* Box projection computes its own UVs that always lie in the
+   * 1001 tile, so there's no point in loading any others. */
+  if (projection == NODE_IMAGE_PROJ_BOX) {
+    tiles.clear();
+    tiles.push_back_slow(1001);
+    return;
+  }
+
+  if (!scene->params.background) {
+    /* During interactive renders, all tiles are loaded.
+     * While we could support updating this when UVs change, that could lead
+     * to annoying interruptions when loading images while editing UVs. */
+    return;
+  }
+
+  /* Only check UVs for tile culling if there are multiple tiles. */
+  if (tiles.size() < 2) {
+    return;
+  }
+
+  ShaderInput *vector_in = input("Vector");
+  ustring attribute;
+  if (vector_in->link) {
+    ShaderNode *node = vector_in->link->parent;
+    if (node->type == UVMapNode::get_node_type()) {
+      UVMapNode *uvmap = (UVMapNode *)node;
+      attribute = uvmap->get_attribute();
+    }
+    else if (node->type == TextureCoordinateNode::get_node_type()) {
+      if (vector_in->link != node->output("UV")) {
+        return;
+      }
+    }
+    else {
+      return;
+    }
+  }
+
+  unordered_set<int> used_tiles;
+  /* TODO(lukas): This is quite inefficient. A fairly simple improvement would
+   * be to have a cache in each mesh that is indexed by attribute.
+   * Additionally, building a graph-to-meshes list once could help. */
+  foreach (Geometry *geom, scene->geometry) {
+    foreach (Node *node, geom->get_used_shaders()) {
+      Shader *shader = static_cast<Shader *>(node);
+      if (shader->graph == graph) {
+        geom->get_uv_tiles(attribute, used_tiles);
+      }
+    }
+  }
+
+  array<int> new_tiles;
+  foreach (int tile, tiles) {
+    if (used_tiles.count(tile)) {
+      new_tiles.push_back_slow(tile);
+    }
+  }
+  tiles.steal_data(new_tiles);
+}
+
+void ImageTextureNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+#ifdef WITH_PTEX
+  /* todo: avoid loading other texture coordinates when using ptex,
+   * and hide texture coordinate socket in the UI */
+  if (shader->has_surface_link() && string_endswith(filename, ".ptx")) {
+    /* ptex */
+    attributes->add(ATTR_STD_PTEX_FACE_ID);
+    attributes->add(ATTR_STD_PTEX_UV);
+  }
+#endif
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void ImageTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *alpha_out = output("Alpha");
+
+  if (handle.empty()) {
+    cull_tiles(compiler.scene, compiler.current_graph);
+    ImageManager *image_manager = compiler.scene->image_manager;
+    handle = image_manager->add_image(filename.string(), image_params(), tiles);
+  }
+
+  /* All tiles have the same metadata. */
+  const ImageMetaData metadata = handle.metadata();
+  const bool compress_as_srgb = metadata.compress_as_srgb;
+  const ustring known_colorspace = metadata.colorspace;
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+  uint flags = 0;
+
+  if (compress_as_srgb) {
+    flags |= NODE_IMAGE_COMPRESS_AS_SRGB;
+  }
+  if (!alpha_out->links.empty()) {
+    const bool unassociate_alpha = !(ColorSpaceManager::colorspace_is_data(colorspace) ||
+                                     alpha_type == IMAGE_ALPHA_CHANNEL_PACKED ||
+                                     alpha_type == IMAGE_ALPHA_IGNORE);
+
+    if (unassociate_alpha) {
+      flags |= NODE_IMAGE_ALPHA_UNASSOCIATE;
+    }
+  }
+
+  if (projection != NODE_IMAGE_PROJ_BOX) {
+    /* If there only is one image (a very common case), we encode it as a negative value. */
+    int num_nodes;
+    if (handle.num_tiles() == 1) {
+      num_nodes = -handle.svm_slot();
+    }
+    else {
+      num_nodes = divide_up(handle.num_tiles(), 2);
+    }
+
+    compiler.add_node(NODE_TEX_IMAGE,
+                      num_nodes,
+                      compiler.encode_uchar4(vector_offset,
+                                             compiler.stack_assign_if_linked(color_out),
+                                             compiler.stack_assign_if_linked(alpha_out),
+                                             flags),
+                      projection);
+
+    if (num_nodes > 0) {
+      for (int i = 0; i < num_nodes; i++) {
+        int4 node;
+        node.x = tiles[2 * i];
+        node.y = handle.svm_slot(2 * i);
+        if (2 * i + 1 < tiles.size()) {
+          node.z = tiles[2 * i + 1];
+          node.w = handle.svm_slot(2 * i + 1);
+        }
+        else {
+          node.z = -1;
+          node.w = -1;
+        }
+        compiler.add_node(node.x, node.y, node.z, node.w);
+      }
+    }
+  }
+  else {
+    assert(handle.num_tiles() == 1);
+    compiler.add_node(NODE_TEX_IMAGE_BOX,
+                      handle.svm_slot(),
+                      compiler.encode_uchar4(vector_offset,
+                                             compiler.stack_assign_if_linked(color_out),
+                                             compiler.stack_assign_if_linked(alpha_out),
+                                             flags),
+                      __float_as_int(projection_blend));
+  }
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void ImageTextureNode::compile(OSLCompiler &compiler)
+{
+  ShaderOutput *alpha_out = output("Alpha");
+
+  tex_mapping.compile(compiler);
+
+  if (handle.empty()) {
+    ImageManager *image_manager = compiler.scene->image_manager;
+    handle = image_manager->add_image(filename.string(), image_params());
+  }
+
+  const ImageMetaData metadata = handle.metadata();
+  const bool is_float = metadata.is_float();
+  const bool compress_as_srgb = metadata.compress_as_srgb;
+  const ustring known_colorspace = metadata.colorspace;
+
+  if (handle.svm_slot() == -1) {
+    compiler.parameter_texture(
+        "filename", filename, compress_as_srgb ? u_colorspace_raw : known_colorspace);
+  }
+  else {
+    compiler.parameter_texture("filename", handle.svm_slot());
+  }
+
+  const bool unassociate_alpha = !(ColorSpaceManager::colorspace_is_data(colorspace) ||
+                                   alpha_type == IMAGE_ALPHA_CHANNEL_PACKED ||
+                                   alpha_type == IMAGE_ALPHA_IGNORE);
+  const bool is_tiled = (filename.find("<UDIM>") != string::npos);
+
+  compiler.parameter(this, "projection");
+  compiler.parameter(this, "projection_blend");
+  compiler.parameter("compress_as_srgb", compress_as_srgb);
+  compiler.parameter("ignore_alpha", alpha_type == IMAGE_ALPHA_IGNORE);
+  compiler.parameter("unassociate_alpha", !alpha_out->links.empty() && unassociate_alpha);
+  compiler.parameter("is_float", is_float);
+  compiler.parameter("is_tiled", is_tiled);
+  compiler.parameter(this, "interpolation");
+  compiler.parameter(this, "extension");
+
+  compiler.add(this, "node_image_texture");
+}
+
+/* Environment Texture */
+
+NODE_DEFINE(EnvironmentTextureNode)
+{
+  NodeType *type = NodeType::add("environment_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(EnvironmentTextureNode);
+
+  SOCKET_STRING(filename, "Filename", ustring());
+  SOCKET_STRING(colorspace, "Colorspace", u_colorspace_auto);
+
+  static NodeEnum alpha_type_enum;
+  alpha_type_enum.insert("auto", IMAGE_ALPHA_AUTO);
+  alpha_type_enum.insert("unassociated", IMAGE_ALPHA_UNASSOCIATED);
+  alpha_type_enum.insert("associated", IMAGE_ALPHA_ASSOCIATED);
+  alpha_type_enum.insert("channel_packed", IMAGE_ALPHA_CHANNEL_PACKED);
+  alpha_type_enum.insert("ignore", IMAGE_ALPHA_IGNORE);
+  SOCKET_ENUM(alpha_type, "Alpha Type", alpha_type_enum, IMAGE_ALPHA_AUTO);
+
+  static NodeEnum interpolation_enum;
+  interpolation_enum.insert("closest", INTERPOLATION_CLOSEST);
+  interpolation_enum.insert("linear", INTERPOLATION_LINEAR);
+  interpolation_enum.insert("cubic", INTERPOLATION_CUBIC);
+  interpolation_enum.insert("smart", INTERPOLATION_SMART);
+  SOCKET_ENUM(interpolation, "Interpolation", interpolation_enum, INTERPOLATION_LINEAR);
+
+  static NodeEnum projection_enum;
+  projection_enum.insert("equirectangular", NODE_ENVIRONMENT_EQUIRECTANGULAR);
+  projection_enum.insert("mirror_ball", NODE_ENVIRONMENT_MIRROR_BALL);
+  SOCKET_ENUM(projection, "Projection", projection_enum, NODE_ENVIRONMENT_EQUIRECTANGULAR);
+
+  SOCKET_BOOLEAN(animated, "Animated", false);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_POSITION);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(alpha, "Alpha");
+
+  return type;
+}
+
+EnvironmentTextureNode::EnvironmentTextureNode() : ImageSlotTextureNode(get_node_type())
+{
+  colorspace = u_colorspace_raw;
+  animated = false;
+}
+
+ShaderNode *EnvironmentTextureNode::clone(ShaderGraph *graph) const
+{
+  EnvironmentTextureNode *node = graph->create_node<EnvironmentTextureNode>(*this);
+  node->handle = handle;
+  return node;
+}
+
+ImageParams EnvironmentTextureNode::image_params() const
+{
+  ImageParams params;
+  params.animated = animated;
+  params.interpolation = interpolation;
+  params.extension = EXTENSION_REPEAT;
+  params.alpha_type = alpha_type;
+  params.colorspace = colorspace;
+  return params;
+}
+
+void EnvironmentTextureNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+#ifdef WITH_PTEX
+  if (shader->has_surface_link() && string_endswith(filename, ".ptx")) {
+    /* ptex */
+    attributes->add(ATTR_STD_PTEX_FACE_ID);
+    attributes->add(ATTR_STD_PTEX_UV);
+  }
+#endif
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void EnvironmentTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *alpha_out = output("Alpha");
+
+  if (handle.empty()) {
+    ImageManager *image_manager = compiler.scene->image_manager;
+    handle = image_manager->add_image(filename.string(), image_params());
+  }
+
+  const ImageMetaData metadata = handle.metadata();
+  const bool compress_as_srgb = metadata.compress_as_srgb;
+  const ustring known_colorspace = metadata.colorspace;
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+  uint flags = 0;
+
+  if (compress_as_srgb) {
+    flags |= NODE_IMAGE_COMPRESS_AS_SRGB;
+  }
+
+  compiler.add_node(NODE_TEX_ENVIRONMENT,
+                    handle.svm_slot(),
+                    compiler.encode_uchar4(vector_offset,
+                                           compiler.stack_assign_if_linked(color_out),
+                                           compiler.stack_assign_if_linked(alpha_out),
+                                           flags),
+                    projection);
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void EnvironmentTextureNode::compile(OSLCompiler &compiler)
+{
+  if (handle.empty()) {
+    ImageManager *image_manager = compiler.scene->image_manager;
+    handle = image_manager->add_image(filename.string(), image_params());
+  }
+
+  tex_mapping.compile(compiler);
+
+  const ImageMetaData metadata = handle.metadata();
+  const bool is_float = metadata.is_float();
+  const bool compress_as_srgb = metadata.compress_as_srgb;
+  const ustring known_colorspace = metadata.colorspace;
+
+  if (handle.svm_slot() == -1) {
+    compiler.parameter_texture(
+        "filename", filename, compress_as_srgb ? u_colorspace_raw : known_colorspace);
+  }
+  else {
+    compiler.parameter_texture("filename", handle.svm_slot());
+  }
+
+  compiler.parameter(this, "projection");
+  compiler.parameter(this, "interpolation");
+  compiler.parameter("compress_as_srgb", compress_as_srgb);
+  compiler.parameter("ignore_alpha", alpha_type == IMAGE_ALPHA_IGNORE);
+  compiler.parameter("is_float", is_float);
+  compiler.add(this, "node_environment_texture");
+}
+
+/* Sky Texture */
+
+static float2 sky_spherical_coordinates(float3 dir)
+{
+  return make_float2(acosf(dir.z), atan2f(dir.x, dir.y));
+}
+
+typedef struct SunSky {
+  /* sun direction in spherical and cartesian */
+  float theta, phi;
+
+  /* Parameter */
+  float radiance_x, radiance_y, radiance_z;
+  float config_x[9], config_y[9], config_z[9], nishita_data[10];
+} SunSky;
+
+/* Preetham model */
+static float sky_perez_function(float lam[6], float theta, float gamma)
+{
+  return (1.0f + lam[0] * expf(lam[1] / cosf(theta))) *
+         (1.0f + lam[2] * expf(lam[3] * gamma) + lam[4] * cosf(gamma) * cosf(gamma));
+}
+
+static void sky_texture_precompute_preetham(SunSky *sunsky, float3 dir, float turbidity)
+{
+  /*
+   * We re-use the SunSky struct of the new model, to avoid extra variables
+   * zenith_Y/x/y is now radiance_x/y/z
+   * perez_Y/x/y is now config_x/y/z
+   */
+
+  float2 spherical = sky_spherical_coordinates(dir);
+  float theta = spherical.x;
+  float phi = spherical.y;
+
+  sunsky->theta = theta;
+  sunsky->phi = phi;
+
+  float theta2 = theta * theta;
+  float theta3 = theta2 * theta;
+  float T = turbidity;
+  float T2 = T * T;
+
+  float chi = (4.0f / 9.0f - T / 120.0f) * (M_PI_F - 2.0f * theta);
+  sunsky->radiance_x = (4.0453f * T - 4.9710f) * tanf(chi) - 0.2155f * T + 2.4192f;
+  sunsky->radiance_x *= 0.06f;
+
+  sunsky->radiance_y = (0.00166f * theta3 - 0.00375f * theta2 + 0.00209f * theta) * T2 +
+                       (-0.02903f * theta3 + 0.06377f * theta2 - 0.03202f * theta + 0.00394f) * T +
+                       (0.11693f * theta3 - 0.21196f * theta2 + 0.06052f * theta + 0.25886f);
+
+  sunsky->radiance_z = (0.00275f * theta3 - 0.00610f * theta2 + 0.00317f * theta) * T2 +
+                       (-0.04214f * theta3 + 0.08970f * theta2 - 0.04153f * theta + 0.00516f) * T +
+                       (0.15346f * theta3 - 0.26756f * theta2 + 0.06670f * theta + 0.26688f);
+
+  sunsky->config_x[0] = (0.1787f * T - 1.4630f);
+  sunsky->config_x[1] = (-0.3554f * T + 0.4275f);
+  sunsky->config_x[2] = (-0.0227f * T + 5.3251f);
+  sunsky->config_x[3] = (0.1206f * T - 2.5771f);
+  sunsky->config_x[4] = (-0.0670f * T + 0.3703f);
+
+  sunsky->config_y[0] = (-0.0193f * T - 0.2592f);
+  sunsky->config_y[1] = (-0.0665f * T + 0.0008f);
+  sunsky->config_y[2] = (-0.0004f * T + 0.2125f);
+  sunsky->config_y[3] = (-0.0641f * T - 0.8989f);
+  sunsky->config_y[4] = (-0.0033f * T + 0.0452f);
+
+  sunsky->config_z[0] = (-0.0167f * T - 0.2608f);
+  sunsky->config_z[1] = (-0.0950f * T + 0.0092f);
+  sunsky->config_z[2] = (-0.0079f * T + 0.2102f);
+  sunsky->config_z[3] = (-0.0441f * T - 1.6537f);
+  sunsky->config_z[4] = (-0.0109f * T + 0.0529f);
+
+  /* unused for old sky model */
+  for (int i = 5; i < 9; i++) {
+    sunsky->config_x[i] = 0.0f;
+    sunsky->config_y[i] = 0.0f;
+    sunsky->config_z[i] = 0.0f;
+  }
+
+  sunsky->radiance_x /= sky_perez_function(sunsky->config_x, 0, theta);
+  sunsky->radiance_y /= sky_perez_function(sunsky->config_y, 0, theta);
+  sunsky->radiance_z /= sky_perez_function(sunsky->config_z, 0, theta);
+}
+
+/* Hosek / Wilkie */
+static void sky_texture_precompute_hosek(SunSky *sunsky,
+                                         float3 dir,
+                                         float turbidity,
+                                         float ground_albedo)
+{
+  /* Calculate Sun Direction and save coordinates */
+  float2 spherical = sky_spherical_coordinates(dir);
+  float theta = spherical.x;
+  float phi = spherical.y;
+
+  /* Clamp Turbidity */
+  turbidity = clamp(turbidity, 0.0f, 10.0f);
+
+  /* Clamp to Horizon */
+  theta = clamp(theta, 0.0f, M_PI_2_F);
+
+  sunsky->theta = theta;
+  sunsky->phi = phi;
+
+  float solarElevation = M_PI_2_F - theta;
+
+  /* Initialize Sky Model */
+  SKY_ArHosekSkyModelState *sky_state;
+  sky_state = SKY_arhosek_xyz_skymodelstate_alloc_init(
+      (double)turbidity, (double)ground_albedo, (double)solarElevation);
+
+  /* Copy values from sky_state to SunSky */
+  for (int i = 0; i < 9; ++i) {
+    sunsky->config_x[i] = (float)sky_state->configs[0][i];
+    sunsky->config_y[i] = (float)sky_state->configs[1][i];
+    sunsky->config_z[i] = (float)sky_state->configs[2][i];
+  }
+  sunsky->radiance_x = (float)sky_state->radiances[0];
+  sunsky->radiance_y = (float)sky_state->radiances[1];
+  sunsky->radiance_z = (float)sky_state->radiances[2];
+
+  /* Free sky_state */
+  SKY_arhosekskymodelstate_free(sky_state);
+}
+
+/* Nishita improved */
+static void sky_texture_precompute_nishita(SunSky *sunsky,
+                                           bool sun_disc,
+                                           float sun_size,
+                                           float sun_intensity,
+                                           float sun_elevation,
+                                           float sun_rotation,
+                                           float altitude,
+                                           float air_density,
+                                           float dust_density)
+{
+  /* sample 2 sun pixels */
+  float pixel_bottom[3];
+  float pixel_top[3];
+  SKY_nishita_skymodel_precompute_sun(
+      sun_elevation, sun_size, altitude, air_density, dust_density, pixel_bottom, pixel_top);
+  /* limit sun rotation between 0 and 360 degrees */
+  sun_rotation = fmodf(sun_rotation, M_2PI_F);
+  if (sun_rotation < 0.0f) {
+    sun_rotation += M_2PI_F;
+  }
+  sun_rotation = M_2PI_F - sun_rotation;
+  /* send data to svm_sky */
+  sunsky->nishita_data[0] = pixel_bottom[0];
+  sunsky->nishita_data[1] = pixel_bottom[1];
+  sunsky->nishita_data[2] = pixel_bottom[2];
+  sunsky->nishita_data[3] = pixel_top[0];
+  sunsky->nishita_data[4] = pixel_top[1];
+  sunsky->nishita_data[5] = pixel_top[2];
+  sunsky->nishita_data[6] = sun_elevation;
+  sunsky->nishita_data[7] = sun_rotation;
+  sunsky->nishita_data[8] = sun_disc ? sun_size : -1.0f;
+  sunsky->nishita_data[9] = sun_intensity;
+}
+
+NODE_DEFINE(SkyTextureNode)
+{
+  NodeType *type = NodeType::add("sky_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(SkyTextureNode);
+
+  static NodeEnum type_enum;
+  type_enum.insert("preetham", NODE_SKY_PREETHAM);
+  type_enum.insert("hosek_wilkie", NODE_SKY_HOSEK);
+  type_enum.insert("nishita_improved", NODE_SKY_NISHITA);
+  SOCKET_ENUM(sky_type, "Type", type_enum, NODE_SKY_NISHITA);
+
+  SOCKET_VECTOR(sun_direction, "Sun Direction", make_float3(0.0f, 0.0f, 1.0f));
+  SOCKET_FLOAT(turbidity, "Turbidity", 2.2f);
+  SOCKET_FLOAT(ground_albedo, "Ground Albedo", 0.3f);
+  SOCKET_BOOLEAN(sun_disc, "Sun Disc", true);
+  SOCKET_FLOAT(sun_size, "Sun Size", 0.009512f);
+  SOCKET_FLOAT(sun_intensity, "Sun Intensity", 1.0f);
+  SOCKET_FLOAT(sun_elevation, "Sun Elevation", 15.0f * M_PI_F / 180.0f);
+  SOCKET_FLOAT(sun_rotation, "Sun Rotation", 0.0f);
+  SOCKET_FLOAT(altitude, "Altitude", 1.0f);
+  SOCKET_FLOAT(air_density, "Air", 1.0f);
+  SOCKET_FLOAT(dust_density, "Dust", 1.0f);
+  SOCKET_FLOAT(ozone_density, "Ozone", 1.0f);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+SkyTextureNode::SkyTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void SkyTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *color_out = output("Color");
+
+  SunSky sunsky;
+  if (sky_type == NODE_SKY_PREETHAM)
+    sky_texture_precompute_preetham(&sunsky, sun_direction, turbidity);
+  else if (sky_type == NODE_SKY_HOSEK)
+    sky_texture_precompute_hosek(&sunsky, sun_direction, turbidity, ground_albedo);
+  else if (sky_type == NODE_SKY_NISHITA) {
+    /* Clamp altitude to reasonable values.
+     * Below 1m causes numerical issues and above 60km is space. */
+    float clamped_altitude = clamp(altitude, 1.0f, 59999.0f);
+
+    sky_texture_precompute_nishita(&sunsky,
+                                   sun_disc,
+                                   get_sun_size(),
+                                   sun_intensity,
+                                   sun_elevation,
+                                   sun_rotation,
+                                   clamped_altitude,
+                                   air_density,
+                                   dust_density);
+    /* precomputed texture image parameters */
+    ImageManager *image_manager = compiler.scene->image_manager;
+    ImageParams impar;
+    impar.interpolation = INTERPOLATION_LINEAR;
+    impar.extension = EXTENSION_EXTEND;
+
+    /* precompute sky texture */
+    if (handle.empty()) {
+      SkyLoader *loader = new SkyLoader(
+          sun_elevation, clamped_altitude, air_density, dust_density, ozone_density);
+      handle = image_manager->add_image(loader, impar);
+    }
+  }
+  else
+    assert(false);
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+
+  compiler.stack_assign(color_out);
+  compiler.add_node(NODE_TEX_SKY, vector_offset, compiler.stack_assign(color_out), sky_type);
+  /* nishita doesn't need this data */
+  if (sky_type != NODE_SKY_NISHITA) {
+    compiler.add_node(__float_as_uint(sunsky.phi),
+                      __float_as_uint(sunsky.theta),
+                      __float_as_uint(sunsky.radiance_x),
+                      __float_as_uint(sunsky.radiance_y));
+    compiler.add_node(__float_as_uint(sunsky.radiance_z),
+                      __float_as_uint(sunsky.config_x[0]),
+                      __float_as_uint(sunsky.config_x[1]),
+                      __float_as_uint(sunsky.config_x[2]));
+    compiler.add_node(__float_as_uint(sunsky.config_x[3]),
+                      __float_as_uint(sunsky.config_x[4]),
+                      __float_as_uint(sunsky.config_x[5]),
+                      __float_as_uint(sunsky.config_x[6]));
+    compiler.add_node(__float_as_uint(sunsky.config_x[7]),
+                      __float_as_uint(sunsky.config_x[8]),
+                      __float_as_uint(sunsky.config_y[0]),
+                      __float_as_uint(sunsky.config_y[1]));
+    compiler.add_node(__float_as_uint(sunsky.config_y[2]),
+                      __float_as_uint(sunsky.config_y[3]),
+                      __float_as_uint(sunsky.config_y[4]),
+                      __float_as_uint(sunsky.config_y[5]));
+    compiler.add_node(__float_as_uint(sunsky.config_y[6]),
+                      __float_as_uint(sunsky.config_y[7]),
+                      __float_as_uint(sunsky.config_y[8]),
+                      __float_as_uint(sunsky.config_z[0]));
+    compiler.add_node(__float_as_uint(sunsky.config_z[1]),
+                      __float_as_uint(sunsky.config_z[2]),
+                      __float_as_uint(sunsky.config_z[3]),
+                      __float_as_uint(sunsky.config_z[4]));
+    compiler.add_node(__float_as_uint(sunsky.config_z[5]),
+                      __float_as_uint(sunsky.config_z[6]),
+                      __float_as_uint(sunsky.config_z[7]),
+                      __float_as_uint(sunsky.config_z[8]));
+  }
+  else {
+    compiler.add_node(__float_as_uint(sunsky.nishita_data[0]),
+                      __float_as_uint(sunsky.nishita_data[1]),
+                      __float_as_uint(sunsky.nishita_data[2]),
+                      __float_as_uint(sunsky.nishita_data[3]));
+    compiler.add_node(__float_as_uint(sunsky.nishita_data[4]),
+                      __float_as_uint(sunsky.nishita_data[5]),
+                      __float_as_uint(sunsky.nishita_data[6]),
+                      __float_as_uint(sunsky.nishita_data[7]));
+    compiler.add_node(__float_as_uint(sunsky.nishita_data[8]),
+                      __float_as_uint(sunsky.nishita_data[9]),
+                      handle.svm_slot(),
+                      0);
+  }
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void SkyTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  SunSky sunsky;
+  if (sky_type == NODE_SKY_PREETHAM)
+    sky_texture_precompute_preetham(&sunsky, sun_direction, turbidity);
+  else if (sky_type == NODE_SKY_HOSEK)
+    sky_texture_precompute_hosek(&sunsky, sun_direction, turbidity, ground_albedo);
+  else if (sky_type == NODE_SKY_NISHITA) {
+    /* Clamp altitude to reasonable values.
+     * Below 1m causes numerical issues and above 60km is space. */
+    float clamped_altitude = clamp(altitude, 1.0f, 59999.0f);
+
+    sky_texture_precompute_nishita(&sunsky,
+                                   sun_disc,
+                                   get_sun_size(),
+                                   sun_intensity,
+                                   sun_elevation,
+                                   sun_rotation,
+                                   clamped_altitude,
+                                   air_density,
+                                   dust_density);
+    /* precomputed texture image parameters */
+    ImageManager *image_manager = compiler.scene->image_manager;
+    ImageParams impar;
+    impar.interpolation = INTERPOLATION_LINEAR;
+    impar.extension = EXTENSION_EXTEND;
+
+    /* precompute sky texture */
+    if (handle.empty()) {
+      SkyLoader *loader = new SkyLoader(
+          sun_elevation, clamped_altitude, air_density, dust_density, ozone_density);
+      handle = image_manager->add_image(loader, impar);
+    }
+  }
+  else
+    assert(false);
+
+  compiler.parameter(this, "sky_type");
+  compiler.parameter("theta", sunsky.theta);
+  compiler.parameter("phi", sunsky.phi);
+  compiler.parameter_color("radiance",
+                           make_float3(sunsky.radiance_x, sunsky.radiance_y, sunsky.radiance_z));
+  compiler.parameter_array("config_x", sunsky.config_x, 9);
+  compiler.parameter_array("config_y", sunsky.config_y, 9);
+  compiler.parameter_array("config_z", sunsky.config_z, 9);
+  compiler.parameter_array("nishita_data", sunsky.nishita_data, 10);
+  /* nishita texture */
+  if (sky_type == NODE_SKY_NISHITA) {
+    compiler.parameter_texture("filename", handle.svm_slot());
+  }
+  compiler.add(this, "node_sky_texture");
+}
+
+/* Gradient Texture */
+
+NODE_DEFINE(GradientTextureNode)
+{
+  NodeType *type = NodeType::add("gradient_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(GradientTextureNode);
+
+  static NodeEnum type_enum;
+  type_enum.insert("linear", NODE_BLEND_LINEAR);
+  type_enum.insert("quadratic", NODE_BLEND_QUADRATIC);
+  type_enum.insert("easing", NODE_BLEND_EASING);
+  type_enum.insert("diagonal", NODE_BLEND_DIAGONAL);
+  type_enum.insert("radial", NODE_BLEND_RADIAL);
+  type_enum.insert("quadratic_sphere", NODE_BLEND_QUADRATIC_SPHERE);
+  type_enum.insert("spherical", NODE_BLEND_SPHERICAL);
+  SOCKET_ENUM(gradient_type, "Type", type_enum, NODE_BLEND_LINEAR);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+GradientTextureNode::GradientTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void GradientTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *fac_out = output("Fac");
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+
+  compiler.add_node(NODE_TEX_GRADIENT,
+                    compiler.encode_uchar4(gradient_type,
+                                           vector_offset,
+                                           compiler.stack_assign_if_linked(fac_out),
+                                           compiler.stack_assign_if_linked(color_out)));
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void GradientTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  compiler.parameter(this, "gradient_type");
+  compiler.add(this, "node_gradient_texture");
+}
+
+/* Noise Texture */
+
+NODE_DEFINE(NoiseTextureNode)
+{
+  NodeType *type = NodeType::add("noise_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(NoiseTextureNode);
+
+  static NodeEnum dimensions_enum;
+  dimensions_enum.insert("1D", 1);
+  dimensions_enum.insert("2D", 2);
+  dimensions_enum.insert("3D", 3);
+  dimensions_enum.insert("4D", 4);
+  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+  SOCKET_IN_FLOAT(w, "W", 0.0f);
+  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
+  SOCKET_IN_FLOAT(detail, "Detail", 2.0f);
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
+  SOCKET_IN_FLOAT(distortion, "Distortion", 0.0f);
+
+  SOCKET_OUT_FLOAT(fac, "Fac");
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+NoiseTextureNode::NoiseTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void NoiseTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *w_in = input("W");
+  ShaderInput *scale_in = input("Scale");
+  ShaderInput *detail_in = input("Detail");
+  ShaderInput *roughness_in = input("Roughness");
+  ShaderInput *distortion_in = input("Distortion");
+  ShaderOutput *fac_out = output("Fac");
+  ShaderOutput *color_out = output("Color");
+
+  int vector_stack_offset = tex_mapping.compile_begin(compiler, vector_in);
+  int w_stack_offset = compiler.stack_assign_if_linked(w_in);
+  int scale_stack_offset = compiler.stack_assign_if_linked(scale_in);
+  int detail_stack_offset = compiler.stack_assign_if_linked(detail_in);
+  int roughness_stack_offset = compiler.stack_assign_if_linked(roughness_in);
+  int distortion_stack_offset = compiler.stack_assign_if_linked(distortion_in);
+  int fac_stack_offset = compiler.stack_assign_if_linked(fac_out);
+  int color_stack_offset = compiler.stack_assign_if_linked(color_out);
+
+  compiler.add_node(
+      NODE_TEX_NOISE,
+      dimensions,
+      compiler.encode_uchar4(
+          vector_stack_offset, w_stack_offset, scale_stack_offset, detail_stack_offset),
+      compiler.encode_uchar4(
+          roughness_stack_offset, distortion_stack_offset, fac_stack_offset, color_stack_offset));
+  compiler.add_node(
+      __float_as_int(w), __float_as_int(scale), __float_as_int(detail), __float_as_int(roughness));
+
+  compiler.add_node(
+      __float_as_int(distortion), SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID);
+
+  tex_mapping.compile_end(compiler, vector_in, vector_stack_offset);
+}
+
+void NoiseTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+  compiler.parameter(this, "dimensions");
+  compiler.add(this, "node_noise_texture");
+}
+
+/* Voronoi Texture */
+
+NODE_DEFINE(VoronoiTextureNode)
+{
+  NodeType *type = NodeType::add("voronoi_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(VoronoiTextureNode);
+
+  static NodeEnum dimensions_enum;
+  dimensions_enum.insert("1D", 1);
+  dimensions_enum.insert("2D", 2);
+  dimensions_enum.insert("3D", 3);
+  dimensions_enum.insert("4D", 4);
+  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
+
+  static NodeEnum metric_enum;
+  metric_enum.insert("euclidean", NODE_VORONOI_EUCLIDEAN);
+  metric_enum.insert("manhattan", NODE_VORONOI_MANHATTAN);
+  metric_enum.insert("chebychev", NODE_VORONOI_CHEBYCHEV);
+  metric_enum.insert("minkowski", NODE_VORONOI_MINKOWSKI);
+  SOCKET_ENUM(metric, "Distance Metric", metric_enum, NODE_VORONOI_EUCLIDEAN);
+
+  static NodeEnum feature_enum;
+  feature_enum.insert("f1", NODE_VORONOI_F1);
+  feature_enum.insert("f2", NODE_VORONOI_F2);
+  feature_enum.insert("smooth_f1", NODE_VORONOI_SMOOTH_F1);
+  feature_enum.insert("distance_to_edge", NODE_VORONOI_DISTANCE_TO_EDGE);
+  feature_enum.insert("n_sphere_radius", NODE_VORONOI_N_SPHERE_RADIUS);
+  SOCKET_ENUM(feature, "Feature", feature_enum, NODE_VORONOI_F1);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+  SOCKET_IN_FLOAT(w, "W", 0.0f);
+  SOCKET_IN_FLOAT(scale, "Scale", 5.0f);
+  SOCKET_IN_FLOAT(smoothness, "Smoothness", 5.0f);
+  SOCKET_IN_FLOAT(exponent, "Exponent", 0.5f);
+  SOCKET_IN_FLOAT(randomness, "Randomness", 1.0f);
+
+  SOCKET_OUT_FLOAT(distance, "Distance");
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_POINT(position, "Position");
+  SOCKET_OUT_FLOAT(w, "W");
+  SOCKET_OUT_FLOAT(radius, "Radius");
+
+  return type;
+}
+
+VoronoiTextureNode::VoronoiTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void VoronoiTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *w_in = input("W");
+  ShaderInput *scale_in = input("Scale");
+  ShaderInput *smoothness_in = input("Smoothness");
+  ShaderInput *exponent_in = input("Exponent");
+  ShaderInput *randomness_in = input("Randomness");
+
+  ShaderOutput *distance_out = output("Distance");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *position_out = output("Position");
+  ShaderOutput *w_out = output("W");
+  ShaderOutput *radius_out = output("Radius");
+
+  int vector_stack_offset = tex_mapping.compile_begin(compiler, vector_in);
+  int w_in_stack_offset = compiler.stack_assign_if_linked(w_in);
+  int scale_stack_offset = compiler.stack_assign_if_linked(scale_in);
+  int smoothness_stack_offset = compiler.stack_assign_if_linked(smoothness_in);
+  int exponent_stack_offset = compiler.stack_assign_if_linked(exponent_in);
+  int randomness_stack_offset = compiler.stack_assign_if_linked(randomness_in);
+  int distance_stack_offset = compiler.stack_assign_if_linked(distance_out);
+  int color_stack_offset = compiler.stack_assign_if_linked(color_out);
+  int position_stack_offset = compiler.stack_assign_if_linked(position_out);
+  int w_out_stack_offset = compiler.stack_assign_if_linked(w_out);
+  int radius_stack_offset = compiler.stack_assign_if_linked(radius_out);
+
+  compiler.add_node(NODE_TEX_VORONOI, dimensions, feature, metric);
+  compiler.add_node(
+      compiler.encode_uchar4(
+          vector_stack_offset, w_in_stack_offset, scale_stack_offset, smoothness_stack_offset),
+      compiler.encode_uchar4(exponent_stack_offset,
+                             randomness_stack_offset,
+                             distance_stack_offset,
+                             color_stack_offset),
+      compiler.encode_uchar4(position_stack_offset, w_out_stack_offset, radius_stack_offset),
+      __float_as_int(w));
+
+  compiler.add_node(__float_as_int(scale),
+                    __float_as_int(smoothness),
+                    __float_as_int(exponent),
+                    __float_as_int(randomness));
+
+  tex_mapping.compile_end(compiler, vector_in, vector_stack_offset);
+}
+
+void VoronoiTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  compiler.parameter(this, "dimensions");
+  compiler.parameter(this, "feature");
+  compiler.parameter(this, "metric");
+  compiler.add(this, "node_voronoi_texture");
+}
+
+/* IES Light */
+
+NODE_DEFINE(IESLightNode)
+{
+  NodeType *type = NodeType::add("ies_light", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(IESLightNode);
+
+  SOCKET_STRING(ies, "IES", ustring());
+  SOCKET_STRING(filename, "File Name", ustring());
+
+  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_NORMAL);
+
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+IESLightNode::IESLightNode() : TextureNode(get_node_type())
+{
+  light_manager = NULL;
+  slot = -1;
+}
+
+ShaderNode *IESLightNode::clone(ShaderGraph *graph) const
+{
+  IESLightNode *node = graph->create_node<IESLightNode>(*this);
+
+  node->light_manager = NULL;
+  node->slot = -1;
+
+  return node;
+}
+
+IESLightNode::~IESLightNode()
+{
+  if (light_manager) {
+    light_manager->remove_ies(slot);
+  }
+}
+
+void IESLightNode::get_slot()
+{
+  assert(light_manager);
+
+  if (slot == -1) {
+    if (ies.empty()) {
+      slot = light_manager->add_ies_from_file(filename.string());
+    }
+    else {
+      slot = light_manager->add_ies(ies.string());
+    }
+  }
+}
+
+void IESLightNode::compile(SVMCompiler &compiler)
+{
+  light_manager = compiler.scene->light_manager;
+  get_slot();
+
+  ShaderInput *strength_in = input("Strength");
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *fac_out = output("Fac");
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+
+  compiler.add_node(NODE_IES,
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(strength_in),
+                                           vector_offset,
+                                           compiler.stack_assign(fac_out),
+                                           0),
+                    slot,
+                    __float_as_int(strength));
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void IESLightNode::compile(OSLCompiler &compiler)
+{
+  light_manager = compiler.scene->light_manager;
+  get_slot();
+
+  tex_mapping.compile(compiler);
+
+  compiler.parameter_texture_ies("filename", slot);
+  compiler.add(this, "node_ies_light");
+}
+
+/* White Noise Texture */
+
+NODE_DEFINE(WhiteNoiseTextureNode)
+{
+  NodeType *type = NodeType::add("white_noise_texture", create, NodeType::SHADER);
+
+  static NodeEnum dimensions_enum;
+  dimensions_enum.insert("1D", 1);
+  dimensions_enum.insert("2D", 2);
+  dimensions_enum.insert("3D", 3);
+  dimensions_enum.insert("4D", 4);
+  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3());
+  SOCKET_IN_FLOAT(w, "W", 0.0f);
+
+  SOCKET_OUT_FLOAT(value, "Value");
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+WhiteNoiseTextureNode::WhiteNoiseTextureNode() : ShaderNode(get_node_type())
+{
+}
+
+void WhiteNoiseTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *w_in = input("W");
+  ShaderOutput *value_out = output("Value");
+  ShaderOutput *color_out = output("Color");
+
+  int vector_stack_offset = compiler.stack_assign(vector_in);
+  int w_stack_offset = compiler.stack_assign(w_in);
+  int value_stack_offset = compiler.stack_assign(value_out);
+  int color_stack_offset = compiler.stack_assign(color_out);
+
+  compiler.add_node(NODE_TEX_WHITE_NOISE,
+                    dimensions,
+                    compiler.encode_uchar4(vector_stack_offset, w_stack_offset),
+                    compiler.encode_uchar4(value_stack_offset, color_stack_offset));
+}
+
+void WhiteNoiseTextureNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "dimensions");
+  compiler.add(this, "node_white_noise_texture");
+}
+
+/* Musgrave Texture */
+
+NODE_DEFINE(MusgraveTextureNode)
+{
+  NodeType *type = NodeType::add("musgrave_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(MusgraveTextureNode);
+
+  static NodeEnum dimensions_enum;
+  dimensions_enum.insert("1D", 1);
+  dimensions_enum.insert("2D", 2);
+  dimensions_enum.insert("3D", 3);
+  dimensions_enum.insert("4D", 4);
+  SOCKET_ENUM(dimensions, "Dimensions", dimensions_enum, 3);
+
+  static NodeEnum type_enum;
+  type_enum.insert("multifractal", NODE_MUSGRAVE_MULTIFRACTAL);
+  type_enum.insert("fBM", NODE_MUSGRAVE_FBM);
+  type_enum.insert("hybrid_multifractal", NODE_MUSGRAVE_HYBRID_MULTIFRACTAL);
+  type_enum.insert("ridged_multifractal", NODE_MUSGRAVE_RIDGED_MULTIFRACTAL);
+  type_enum.insert("hetero_terrain", NODE_MUSGRAVE_HETERO_TERRAIN);
+  SOCKET_ENUM(musgrave_type, "Type", type_enum, NODE_MUSGRAVE_FBM);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+  SOCKET_IN_FLOAT(w, "W", 0.0f);
+  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
+  SOCKET_IN_FLOAT(detail, "Detail", 2.0f);
+  SOCKET_IN_FLOAT(dimension, "Dimension", 2.0f);
+  SOCKET_IN_FLOAT(lacunarity, "Lacunarity", 2.0f);
+  SOCKET_IN_FLOAT(offset, "Offset", 0.0f);
+  SOCKET_IN_FLOAT(gain, "Gain", 1.0f);
+
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+MusgraveTextureNode::MusgraveTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void MusgraveTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *w_in = input("W");
+  ShaderInput *scale_in = input("Scale");
+  ShaderInput *detail_in = input("Detail");
+  ShaderInput *dimension_in = input("Dimension");
+  ShaderInput *lacunarity_in = input("Lacunarity");
+  ShaderInput *offset_in = input("Offset");
+  ShaderInput *gain_in = input("Gain");
+  ShaderOutput *fac_out = output("Fac");
+
+  int vector_stack_offset = tex_mapping.compile_begin(compiler, vector_in);
+  int w_stack_offset = compiler.stack_assign_if_linked(w_in);
+  int scale_stack_offset = compiler.stack_assign_if_linked(scale_in);
+  int detail_stack_offset = compiler.stack_assign_if_linked(detail_in);
+  int dimension_stack_offset = compiler.stack_assign_if_linked(dimension_in);
+  int lacunarity_stack_offset = compiler.stack_assign_if_linked(lacunarity_in);
+  int offset_stack_offset = compiler.stack_assign_if_linked(offset_in);
+  int gain_stack_offset = compiler.stack_assign_if_linked(gain_in);
+  int fac_stack_offset = compiler.stack_assign(fac_out);
+
+  compiler.add_node(
+      NODE_TEX_MUSGRAVE,
+      compiler.encode_uchar4(musgrave_type, dimensions, vector_stack_offset, w_stack_offset),
+      compiler.encode_uchar4(scale_stack_offset,
+                             detail_stack_offset,
+                             dimension_stack_offset,
+                             lacunarity_stack_offset),
+      compiler.encode_uchar4(offset_stack_offset, gain_stack_offset, fac_stack_offset));
+  compiler.add_node(
+      __float_as_int(w), __float_as_int(scale), __float_as_int(detail), __float_as_int(dimension));
+  compiler.add_node(__float_as_int(lacunarity), __float_as_int(offset), __float_as_int(gain));
+
+  tex_mapping.compile_end(compiler, vector_in, vector_stack_offset);
+}
+
+void MusgraveTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  compiler.parameter(this, "musgrave_type");
+  compiler.parameter(this, "dimensions");
+  compiler.add(this, "node_musgrave_texture");
+}
+
+/* Wave Texture */
+
+NODE_DEFINE(WaveTextureNode)
+{
+  NodeType *type = NodeType::add("wave_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(WaveTextureNode);
+
+  static NodeEnum type_enum;
+  type_enum.insert("bands", NODE_WAVE_BANDS);
+  type_enum.insert("rings", NODE_WAVE_RINGS);
+  SOCKET_ENUM(wave_type, "Type", type_enum, NODE_WAVE_BANDS);
+
+  static NodeEnum bands_direction_enum;
+  bands_direction_enum.insert("x", NODE_WAVE_BANDS_DIRECTION_X);
+  bands_direction_enum.insert("y", NODE_WAVE_BANDS_DIRECTION_Y);
+  bands_direction_enum.insert("z", NODE_WAVE_BANDS_DIRECTION_Z);
+  bands_direction_enum.insert("diagonal", NODE_WAVE_BANDS_DIRECTION_DIAGONAL);
+  SOCKET_ENUM(
+      bands_direction, "Bands Direction", bands_direction_enum, NODE_WAVE_BANDS_DIRECTION_X);
+
+  static NodeEnum rings_direction_enum;
+  rings_direction_enum.insert("x", NODE_WAVE_RINGS_DIRECTION_X);
+  rings_direction_enum.insert("y", NODE_WAVE_RINGS_DIRECTION_Y);
+  rings_direction_enum.insert("z", NODE_WAVE_RINGS_DIRECTION_Z);
+  rings_direction_enum.insert("spherical", NODE_WAVE_RINGS_DIRECTION_SPHERICAL);
+  SOCKET_ENUM(
+      rings_direction, "Rings Direction", rings_direction_enum, NODE_WAVE_BANDS_DIRECTION_X);
+
+  static NodeEnum profile_enum;
+  profile_enum.insert("sine", NODE_WAVE_PROFILE_SIN);
+  profile_enum.insert("saw", NODE_WAVE_PROFILE_SAW);
+  profile_enum.insert("tri", NODE_WAVE_PROFILE_TRI);
+  SOCKET_ENUM(profile, "Profile", profile_enum, NODE_WAVE_PROFILE_SIN);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
+  SOCKET_IN_FLOAT(distortion, "Distortion", 0.0f);
+  SOCKET_IN_FLOAT(detail, "Detail", 2.0f);
+  SOCKET_IN_FLOAT(detail_scale, "Detail Scale", 0.0f);
+  SOCKET_IN_FLOAT(detail_roughness, "Detail Roughness", 0.5f);
+  SOCKET_IN_FLOAT(phase, "Phase Offset", 0.0f);
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+WaveTextureNode::WaveTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void WaveTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *scale_in = input("Scale");
+  ShaderInput *distortion_in = input("Distortion");
+  ShaderInput *detail_in = input("Detail");
+  ShaderInput *dscale_in = input("Detail Scale");
+  ShaderInput *droughness_in = input("Detail Roughness");
+  ShaderInput *phase_in = input("Phase Offset");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *fac_out = output("Fac");
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+
+  compiler.add_node(NODE_TEX_WAVE,
+                    compiler.encode_uchar4(wave_type, bands_direction, rings_direction, profile),
+                    compiler.encode_uchar4(vector_offset,
+                                           compiler.stack_assign_if_linked(scale_in),
+                                           compiler.stack_assign_if_linked(distortion_in)),
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(detail_in),
+                                           compiler.stack_assign_if_linked(dscale_in),
+                                           compiler.stack_assign_if_linked(droughness_in),
+                                           compiler.stack_assign_if_linked(phase_in)));
+
+  compiler.add_node(compiler.encode_uchar4(compiler.stack_assign_if_linked(color_out),
+                                           compiler.stack_assign_if_linked(fac_out)),
+                    __float_as_int(scale),
+                    __float_as_int(distortion),
+                    __float_as_int(detail));
+
+  compiler.add_node(__float_as_int(detail_scale),
+                    __float_as_int(detail_roughness),
+                    __float_as_int(phase),
+                    SVM_STACK_INVALID);
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void WaveTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  compiler.parameter(this, "wave_type");
+  compiler.parameter(this, "bands_direction");
+  compiler.parameter(this, "rings_direction");
+  compiler.parameter(this, "profile");
+
+  compiler.add(this, "node_wave_texture");
+}
+
+/* Magic Texture */
+
+NODE_DEFINE(MagicTextureNode)
+{
+  NodeType *type = NodeType::add("magic_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(MagicTextureNode);
+
+  SOCKET_INT(depth, "Depth", 2);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+  SOCKET_IN_FLOAT(scale, "Scale", 5.0f);
+  SOCKET_IN_FLOAT(distortion, "Distortion", 1.0f);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+MagicTextureNode::MagicTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void MagicTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *scale_in = input("Scale");
+  ShaderInput *distortion_in = input("Distortion");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *fac_out = output("Fac");
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+
+  compiler.add_node(NODE_TEX_MAGIC,
+                    compiler.encode_uchar4(depth,
+                                           compiler.stack_assign_if_linked(color_out),
+                                           compiler.stack_assign_if_linked(fac_out)),
+                    compiler.encode_uchar4(vector_offset,
+                                           compiler.stack_assign_if_linked(scale_in),
+                                           compiler.stack_assign_if_linked(distortion_in)));
+  compiler.add_node(__float_as_int(scale), __float_as_int(distortion));
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void MagicTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  compiler.parameter(this, "depth");
+  compiler.add(this, "node_magic_texture");
+}
+
+/* Checker Texture */
+
+NODE_DEFINE(CheckerTextureNode)
+{
+  NodeType *type = NodeType::add("checker_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(CheckerTextureNode);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+  SOCKET_IN_COLOR(color1, "Color1", zero_float3());
+  SOCKET_IN_COLOR(color2, "Color2", zero_float3());
+  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+CheckerTextureNode::CheckerTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void CheckerTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *color1_in = input("Color1");
+  ShaderInput *color2_in = input("Color2");
+  ShaderInput *scale_in = input("Scale");
+
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *fac_out = output("Fac");
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+
+  compiler.add_node(NODE_TEX_CHECKER,
+                    compiler.encode_uchar4(vector_offset,
+                                           compiler.stack_assign(color1_in),
+                                           compiler.stack_assign(color2_in),
+                                           compiler.stack_assign_if_linked(scale_in)),
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(color_out),
+                                           compiler.stack_assign_if_linked(fac_out)),
+                    __float_as_int(scale));
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void CheckerTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  compiler.add(this, "node_checker_texture");
+}
+
+/* Brick Texture */
+
+NODE_DEFINE(BrickTextureNode)
+{
+  NodeType *type = NodeType::add("brick_texture", create, NodeType::SHADER);
+
+  TEXTURE_MAPPING_DEFINE(BrickTextureNode);
+
+  SOCKET_FLOAT(offset, "Offset", 0.5f);
+  SOCKET_INT(offset_frequency, "Offset Frequency", 2);
+  SOCKET_FLOAT(squash, "Squash", 1.0f);
+  SOCKET_INT(squash_frequency, "Squash Frequency", 2);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_TEXTURE_GENERATED);
+
+  SOCKET_IN_COLOR(color1, "Color1", zero_float3());
+  SOCKET_IN_COLOR(color2, "Color2", zero_float3());
+  SOCKET_IN_COLOR(mortar, "Mortar", zero_float3());
+  SOCKET_IN_FLOAT(scale, "Scale", 5.0f);
+  SOCKET_IN_FLOAT(mortar_size, "Mortar Size", 0.02f);
+  SOCKET_IN_FLOAT(mortar_smooth, "Mortar Smooth", 0.0f);
+  SOCKET_IN_FLOAT(bias, "Bias", 0.0f);
+  SOCKET_IN_FLOAT(brick_width, "Brick Width", 0.5f);
+  SOCKET_IN_FLOAT(row_height, "Row Height", 0.25f);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+BrickTextureNode::BrickTextureNode() : TextureNode(get_node_type())
+{
+}
+
+void BrickTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *color1_in = input("Color1");
+  ShaderInput *color2_in = input("Color2");
+  ShaderInput *mortar_in = input("Mortar");
+  ShaderInput *scale_in = input("Scale");
+  ShaderInput *mortar_size_in = input("Mortar Size");
+  ShaderInput *mortar_smooth_in = input("Mortar Smooth");
+  ShaderInput *bias_in = input("Bias");
+  ShaderInput *brick_width_in = input("Brick Width");
+  ShaderInput *row_height_in = input("Row Height");
+
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *fac_out = output("Fac");
+
+  int vector_offset = tex_mapping.compile_begin(compiler, vector_in);
+
+  compiler.add_node(NODE_TEX_BRICK,
+                    compiler.encode_uchar4(vector_offset,
+                                           compiler.stack_assign(color1_in),
+                                           compiler.stack_assign(color2_in),
+                                           compiler.stack_assign(mortar_in)),
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(scale_in),
+                                           compiler.stack_assign_if_linked(mortar_size_in),
+                                           compiler.stack_assign_if_linked(bias_in),
+                                           compiler.stack_assign_if_linked(brick_width_in)),
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(row_height_in),
+                                           compiler.stack_assign_if_linked(color_out),
+                                           compiler.stack_assign_if_linked(fac_out),
+                                           compiler.stack_assign_if_linked(mortar_smooth_in)));
+
+  compiler.add_node(compiler.encode_uchar4(offset_frequency, squash_frequency),
+                    __float_as_int(scale),
+                    __float_as_int(mortar_size),
+                    __float_as_int(bias));
+
+  compiler.add_node(__float_as_int(brick_width),
+                    __float_as_int(row_height),
+                    __float_as_int(offset),
+                    __float_as_int(squash));
+
+  compiler.add_node(
+      __float_as_int(mortar_smooth), SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID);
+
+  tex_mapping.compile_end(compiler, vector_in, vector_offset);
+}
+
+void BrickTextureNode::compile(OSLCompiler &compiler)
+{
+  tex_mapping.compile(compiler);
+
+  compiler.parameter(this, "offset");
+  compiler.parameter(this, "offset_frequency");
+  compiler.parameter(this, "squash");
+  compiler.parameter(this, "squash_frequency");
+  compiler.add(this, "node_brick_texture");
+}
+
+/* Point Density Texture */
+
+NODE_DEFINE(PointDensityTextureNode)
+{
+  NodeType *type = NodeType::add("point_density_texture", create, NodeType::SHADER);
+
+  SOCKET_STRING(filename, "Filename", ustring());
+
+  static NodeEnum space_enum;
+  space_enum.insert("object", NODE_TEX_VOXEL_SPACE_OBJECT);
+  space_enum.insert("world", NODE_TEX_VOXEL_SPACE_WORLD);
+  SOCKET_ENUM(space, "Space", space_enum, NODE_TEX_VOXEL_SPACE_OBJECT);
+
+  static NodeEnum interpolation_enum;
+  interpolation_enum.insert("closest", INTERPOLATION_CLOSEST);
+  interpolation_enum.insert("linear", INTERPOLATION_LINEAR);
+  interpolation_enum.insert("cubic", INTERPOLATION_CUBIC);
+  interpolation_enum.insert("smart", INTERPOLATION_SMART);
+  SOCKET_ENUM(interpolation, "Interpolation", interpolation_enum, INTERPOLATION_LINEAR);
+
+  SOCKET_TRANSFORM(tfm, "Transform", transform_identity());
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3(), SocketType::LINK_POSITION);
+
+  SOCKET_OUT_FLOAT(density, "Density");
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+PointDensityTextureNode::PointDensityTextureNode() : ShaderNode(get_node_type())
+{
+}
+
+PointDensityTextureNode::~PointDensityTextureNode()
+{
+}
+
+ShaderNode *PointDensityTextureNode::clone(ShaderGraph *graph) const
+{
+  /* Increase image user count for new node. We need to ensure to not call
+   * add_image again, to work around access of freed data on the Blender
+   * side. A better solution should be found to avoid this. */
+  PointDensityTextureNode *node = graph->create_node<PointDensityTextureNode>(*this);
+  node->handle = handle; /* TODO: not needed? */
+  return node;
+}
+
+void PointDensityTextureNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_volume)
+    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+ImageParams PointDensityTextureNode::image_params() const
+{
+  ImageParams params;
+  params.interpolation = interpolation;
+  return params;
+}
+
+void PointDensityTextureNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *density_out = output("Density");
+  ShaderOutput *color_out = output("Color");
+
+  const bool use_density = !density_out->links.empty();
+  const bool use_color = !color_out->links.empty();
+
+  if (use_density || use_color) {
+    if (handle.empty()) {
+      ImageManager *image_manager = compiler.scene->image_manager;
+      handle = image_manager->add_image(filename.string(), image_params());
+    }
+
+    const int slot = handle.svm_slot();
+    if (slot != -1) {
+      compiler.stack_assign(vector_in);
+      compiler.add_node(NODE_TEX_VOXEL,
+                        slot,
+                        compiler.encode_uchar4(compiler.stack_assign(vector_in),
+                                               compiler.stack_assign_if_linked(density_out),
+                                               compiler.stack_assign_if_linked(color_out),
+                                               space));
+      if (space == NODE_TEX_VOXEL_SPACE_WORLD) {
+        compiler.add_node(tfm.x);
+        compiler.add_node(tfm.y);
+        compiler.add_node(tfm.z);
+      }
+    }
+    else {
+      if (use_density) {
+        compiler.add_node(NODE_VALUE_F, __float_as_int(0.0f), compiler.stack_assign(density_out));
+      }
+      if (use_color) {
+        compiler.add_node(NODE_VALUE_V, compiler.stack_assign(color_out));
+        compiler.add_node(
+            NODE_VALUE_V,
+            make_float3(TEX_IMAGE_MISSING_R, TEX_IMAGE_MISSING_G, TEX_IMAGE_MISSING_B));
+      }
+    }
+  }
+}
+
+void PointDensityTextureNode::compile(OSLCompiler &compiler)
+{
+  ShaderOutput *density_out = output("Density");
+  ShaderOutput *color_out = output("Color");
+
+  const bool use_density = !density_out->links.empty();
+  const bool use_color = !color_out->links.empty();
+
+  if (use_density || use_color) {
+    if (handle.empty()) {
+      ImageManager *image_manager = compiler.scene->image_manager;
+      handle = image_manager->add_image(filename.string(), image_params());
+    }
+
+    compiler.parameter_texture("filename", handle.svm_slot());
+    if (space == NODE_TEX_VOXEL_SPACE_WORLD) {
+      compiler.parameter("mapping", tfm);
+      compiler.parameter("use_mapping", 1);
+    }
+    compiler.parameter(this, "interpolation");
+    compiler.add(this, "node_voxel_texture");
+  }
+}
+
+/* Normal */
+
+NODE_DEFINE(NormalNode)
+{
+  NodeType *type = NodeType::add("normal", create, NodeType::SHADER);
+
+  SOCKET_VECTOR(direction, "direction", zero_float3());
+
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3());
+
+  SOCKET_OUT_NORMAL(normal, "Normal");
+  SOCKET_OUT_FLOAT(dot, "Dot");
+
+  return type;
+}
+
+NormalNode::NormalNode() : ShaderNode(get_node_type())
+{
+}
+
+void NormalNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *normal_in = input("Normal");
+  ShaderOutput *normal_out = output("Normal");
+  ShaderOutput *dot_out = output("Dot");
+
+  compiler.add_node(NODE_NORMAL,
+                    compiler.stack_assign(normal_in),
+                    compiler.stack_assign(normal_out),
+                    compiler.stack_assign(dot_out));
+  compiler.add_node(
+      __float_as_int(direction.x), __float_as_int(direction.y), __float_as_int(direction.z));
+}
+
+void NormalNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "direction");
+  compiler.add(this, "node_normal");
+}
+
+/* Mapping */
+
+NODE_DEFINE(MappingNode)
+{
+  NodeType *type = NodeType::add("mapping", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("point", NODE_MAPPING_TYPE_POINT);
+  type_enum.insert("texture", NODE_MAPPING_TYPE_TEXTURE);
+  type_enum.insert("vector", NODE_MAPPING_TYPE_VECTOR);
+  type_enum.insert("normal", NODE_MAPPING_TYPE_NORMAL);
+  SOCKET_ENUM(mapping_type, "Type", type_enum, NODE_MAPPING_TYPE_POINT);
+
+  SOCKET_IN_POINT(vector, "Vector", zero_float3());
+  SOCKET_IN_POINT(location, "Location", zero_float3());
+  SOCKET_IN_POINT(rotation, "Rotation", zero_float3());
+  SOCKET_IN_POINT(scale, "Scale", one_float3());
+
+  SOCKET_OUT_POINT(vector, "Vector");
+
+  return type;
+}
+
+MappingNode::MappingNode() : ShaderNode(get_node_type())
+{
+}
+
+void MappingNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    float3 result = svm_mapping((NodeMappingType)mapping_type, vector, location, rotation, scale);
+    folder.make_constant(result);
+  }
+  else {
+    folder.fold_mapping((NodeMappingType)mapping_type);
+  }
+}
+
+void MappingNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *location_in = input("Location");
+  ShaderInput *rotation_in = input("Rotation");
+  ShaderInput *scale_in = input("Scale");
+  ShaderOutput *vector_out = output("Vector");
+
+  int vector_stack_offset = compiler.stack_assign(vector_in);
+  int location_stack_offset = compiler.stack_assign(location_in);
+  int rotation_stack_offset = compiler.stack_assign(rotation_in);
+  int scale_stack_offset = compiler.stack_assign(scale_in);
+  int result_stack_offset = compiler.stack_assign(vector_out);
+
+  compiler.add_node(
+      NODE_MAPPING,
+      mapping_type,
+      compiler.encode_uchar4(
+          vector_stack_offset, location_stack_offset, rotation_stack_offset, scale_stack_offset),
+      result_stack_offset);
+}
+
+void MappingNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "mapping_type");
+  compiler.add(this, "node_mapping");
+}
+
+/* RGBToBW */
+
+NODE_DEFINE(RGBToBWNode)
+{
+  NodeType *type = NodeType::add("rgb_to_bw", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", zero_float3());
+  SOCKET_OUT_FLOAT(val, "Val");
+
+  return type;
+}
+
+RGBToBWNode::RGBToBWNode() : ShaderNode(get_node_type())
+{
+}
+
+void RGBToBWNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    float val = folder.scene->shader_manager->linear_rgb_to_gray(color);
+    folder.make_constant(val);
+  }
+}
+
+void RGBToBWNode::compile(SVMCompiler &compiler)
+{
+  compiler.add_node(NODE_CONVERT,
+                    NODE_CONVERT_CF,
+                    compiler.stack_assign(inputs[0]),
+                    compiler.stack_assign(outputs[0]));
+}
+
+void RGBToBWNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_rgb_to_bw");
+}
+
+/* Convert */
+
+const NodeType *ConvertNode::node_types[ConvertNode::MAX_TYPE][ConvertNode::MAX_TYPE];
+bool ConvertNode::initialized = ConvertNode::register_types();
+
+Node *ConvertNode::create(const NodeType *type)
+{
+  return new ConvertNode(type->inputs[0].type, type->outputs[0].type);
+}
+
+bool ConvertNode::register_types()
+{
+  const int num_types = 8;
+  SocketType::Type types[num_types] = {SocketType::FLOAT,
+                                       SocketType::INT,
+                                       SocketType::COLOR,
+                                       SocketType::VECTOR,
+                                       SocketType::POINT,
+                                       SocketType::NORMAL,
+                                       SocketType::STRING,
+                                       SocketType::CLOSURE};
+
+  for (size_t i = 0; i < num_types; i++) {
+    SocketType::Type from = types[i];
+    ustring from_name(SocketType::type_name(from));
+    ustring from_value_name("value_" + from_name.string());
+
+    for (size_t j = 0; j < num_types; j++) {
+      SocketType::Type to = types[j];
+      ustring to_name(SocketType::type_name(to));
+      ustring to_value_name("value_" + to_name.string());
+
+      string node_name = "convert_" + from_name.string() + "_to_" + to_name.string();
+      NodeType *type = NodeType::add(node_name.c_str(), create, NodeType::SHADER);
+
+      type->register_input(from_value_name,
+                           from_value_name,
+                           from,
+                           SOCKET_OFFSETOF(ConvertNode, value_float),
+                           SocketType::zero_default_value(),
+                           NULL,
+                           NULL,
+                           SocketType::LINKABLE);
+      type->register_output(to_value_name, to_value_name, to);
+
+      assert(from < MAX_TYPE);
+      assert(to < MAX_TYPE);
+
+      node_types[from][to] = type;
+    }
+  }
+
+  return true;
+}
+
+ConvertNode::ConvertNode(SocketType::Type from_, SocketType::Type to_, bool autoconvert)
+    : ShaderNode(node_types[from_][to_])
+{
+  from = from_;
+  to = to_;
+
+  if (from == to)
+    special_type = SHADER_SPECIAL_TYPE_PROXY;
+  else if (autoconvert)
+    special_type = SHADER_SPECIAL_TYPE_AUTOCONVERT;
+}
+
+/* Union usage requires a manual copy constructor. */
+ConvertNode::ConvertNode(const ConvertNode &other)
+    : ShaderNode(other),
+      from(other.from),
+      to(other.to),
+      value_color(other.value_color),
+      value_string(other.value_string)
+{
+}
+
+void ConvertNode::constant_fold(const ConstantFolder &folder)
+{
+  /* proxy nodes should have been removed at this point */
+  assert(special_type != SHADER_SPECIAL_TYPE_PROXY);
+
+  /* TODO(DingTo): conversion from/to int is not supported yet, don't fold in that case */
+
+  if (folder.all_inputs_constant()) {
+    if (from == SocketType::FLOAT) {
+      if (SocketType::is_float3(to)) {
+        folder.make_constant(make_float3(value_float, value_float, value_float));
+      }
+    }
+    else if (SocketType::is_float3(from)) {
+      if (to == SocketType::FLOAT) {
+        if (from == SocketType::COLOR) {
+          /* color to float */
+          float val = folder.scene->shader_manager->linear_rgb_to_gray(value_color);
+          folder.make_constant(val);
+        }
+        else {
+          /* vector/point/normal to float */
+          folder.make_constant(average(value_vector));
+        }
+      }
+      else if (SocketType::is_float3(to)) {
+        folder.make_constant(value_color);
+      }
+    }
+  }
+  else {
+    ShaderInput *in = inputs[0];
+    ShaderNode *prev = in->link->parent;
+
+    /* no-op conversion of A to B to A */
+    if (prev->type == node_types[to][from]) {
+      ShaderInput *prev_in = prev->inputs[0];
+
+      if (SocketType::is_float3(from) && (to == SocketType::FLOAT || SocketType::is_float3(to)) &&
+          prev_in->link) {
+        folder.bypass(prev_in->link);
+      }
+    }
+  }
+}
+
+void ConvertNode::compile(SVMCompiler &compiler)
+{
+  /* proxy nodes should have been removed at this point */
+  assert(special_type != SHADER_SPECIAL_TYPE_PROXY);
+
+  ShaderInput *in = inputs[0];
+  ShaderOutput *out = outputs[0];
+
+  if (from == SocketType::FLOAT) {
+    if (to == SocketType::INT)
+      /* float to int */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_FI, compiler.stack_assign(in), compiler.stack_assign(out));
+    else
+      /* float to float3 */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_FV, compiler.stack_assign(in), compiler.stack_assign(out));
+  }
+  else if (from == SocketType::INT) {
+    if (to == SocketType::FLOAT)
+      /* int to float */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_IF, compiler.stack_assign(in), compiler.stack_assign(out));
+    else
+      /* int to vector/point/normal */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_IV, compiler.stack_assign(in), compiler.stack_assign(out));
+  }
+  else if (to == SocketType::FLOAT) {
+    if (from == SocketType::COLOR)
+      /* color to float */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_CF, compiler.stack_assign(in), compiler.stack_assign(out));
+    else
+      /* vector/point/normal to float */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_VF, compiler.stack_assign(in), compiler.stack_assign(out));
+  }
+  else if (to == SocketType::INT) {
+    if (from == SocketType::COLOR)
+      /* color to int */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_CI, compiler.stack_assign(in), compiler.stack_assign(out));
+    else
+      /* vector/point/normal to int */
+      compiler.add_node(
+          NODE_CONVERT, NODE_CONVERT_VI, compiler.stack_assign(in), compiler.stack_assign(out));
+  }
+  else {
+    /* float3 to float3 */
+    if (in->link) {
+      /* no op in SVM */
+      compiler.stack_link(in, out);
+    }
+    else {
+      /* set 0,0,0 value */
+      compiler.add_node(NODE_VALUE_V, compiler.stack_assign(out));
+      compiler.add_node(NODE_VALUE_V, value_color);
+    }
+  }
+}
+
+void ConvertNode::compile(OSLCompiler &compiler)
+{
+  /* proxy nodes should have been removed at this point */
+  assert(special_type != SHADER_SPECIAL_TYPE_PROXY);
+
+  if (from == SocketType::FLOAT)
+    compiler.add(this, "node_convert_from_float");
+  else if (from == SocketType::INT)
+    compiler.add(this, "node_convert_from_int");
+  else if (from == SocketType::COLOR)
+    compiler.add(this, "node_convert_from_color");
+  else if (from == SocketType::VECTOR)
+    compiler.add(this, "node_convert_from_vector");
+  else if (from == SocketType::POINT)
+    compiler.add(this, "node_convert_from_point");
+  else if (from == SocketType::NORMAL)
+    compiler.add(this, "node_convert_from_normal");
+  else
+    assert(0);
+}
+
+/* Base type for all closure-type nodes */
+
+BsdfBaseNode::BsdfBaseNode(const NodeType *node_type) : ShaderNode(node_type)
+{
+  special_type = SHADER_SPECIAL_TYPE_CLOSURE;
+}
+
+bool BsdfBaseNode::has_bump()
+{
+  /* detect if anything is plugged into the normal input besides the default */
+  ShaderInput *normal_in = input("Normal");
+  return (normal_in && normal_in->link &&
+          normal_in->link->parent->special_type != SHADER_SPECIAL_TYPE_GEOMETRY);
+}
+
+/* BSDF Closure */
+
+BsdfNode::BsdfNode(const NodeType *node_type) : BsdfBaseNode(node_type)
+{
+}
+
+void BsdfNode::compile(SVMCompiler &compiler,
+                       ShaderInput *param1,
+                       ShaderInput *param2,
+                       ShaderInput *param3,
+                       ShaderInput *param4)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *normal_in = input("Normal");
+  ShaderInput *tangent_in = input("Tangent");
+
+  if (color_in->link)
+    compiler.add_node(NODE_CLOSURE_WEIGHT, compiler.stack_assign(color_in));
+  else
+    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color);
+
+  int normal_offset = (normal_in) ? compiler.stack_assign_if_linked(normal_in) : SVM_STACK_INVALID;
+  int tangent_offset = (tangent_in) ? compiler.stack_assign_if_linked(tangent_in) :
+                                      SVM_STACK_INVALID;
+  int param3_offset = (param3) ? compiler.stack_assign(param3) : SVM_STACK_INVALID;
+  int param4_offset = (param4) ? compiler.stack_assign(param4) : SVM_STACK_INVALID;
+
+  compiler.add_node(
+      NODE_CLOSURE_BSDF,
+      compiler.encode_uchar4(closure,
+                             (param1) ? compiler.stack_assign(param1) : SVM_STACK_INVALID,
+                             (param2) ? compiler.stack_assign(param2) : SVM_STACK_INVALID,
+                             compiler.closure_mix_weight_offset()),
+      __float_as_int((param1) ? get_float(param1->socket_type) : 0.0f),
+      __float_as_int((param2) ? get_float(param2->socket_type) : 0.0f));
+
+  compiler.add_node(normal_offset, tangent_offset, param3_offset, param4_offset);
+}
+
+void BsdfNode::compile(SVMCompiler &compiler)
+{
+  compile(compiler, NULL, NULL);
+}
+
+void BsdfNode::compile(OSLCompiler & /*compiler*/)
+{
+  assert(0);
+}
+
+/* Anisotropic BSDF Closure */
+
+NODE_DEFINE(AnisotropicBsdfNode)
+{
+  NodeType *type = NodeType::add("anisotropic_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  static NodeEnum distribution_enum;
+  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_ID);
+  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_ID);
+  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID);
+  distribution_enum.insert("ashikhmin_shirley", CLOSURE_BSDF_ASHIKHMIN_SHIRLEY_ID);
+  SOCKET_ENUM(distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_ID);
+
+  SOCKET_IN_VECTOR(tangent, "Tangent", zero_float3(), SocketType::LINK_TANGENT);
+
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
+  SOCKET_IN_FLOAT(anisotropy, "Anisotropy", 0.5f);
+  SOCKET_IN_FLOAT(rotation, "Rotation", 0.0f);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+AnisotropicBsdfNode::AnisotropicBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_MICROFACET_GGX_ID;
+}
+
+void AnisotropicBsdfNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link()) {
+    ShaderInput *tangent_in = input("Tangent");
+
+    if (!tangent_in->link)
+      attributes->add(ATTR_STD_GENERATED);
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void AnisotropicBsdfNode::compile(SVMCompiler &compiler)
+{
+  closure = distribution;
+
+  if (closure == CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID)
+    BsdfNode::compile(
+        compiler, input("Roughness"), input("Anisotropy"), input("Rotation"), input("Color"));
+  else
+    BsdfNode::compile(compiler, input("Roughness"), input("Anisotropy"), input("Rotation"));
+}
+
+void AnisotropicBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "distribution");
+  compiler.add(this, "node_anisotropic_bsdf");
+}
+
+/* Glossy BSDF Closure */
+
+NODE_DEFINE(GlossyBsdfNode)
+{
+  NodeType *type = NodeType::add("glossy_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  static NodeEnum distribution_enum;
+  distribution_enum.insert("sharp", CLOSURE_BSDF_REFLECTION_ID);
+  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_ID);
+  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_ID);
+  distribution_enum.insert("ashikhmin_shirley", CLOSURE_BSDF_ASHIKHMIN_SHIRLEY_ID);
+  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID);
+  SOCKET_ENUM(distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_ID);
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+GlossyBsdfNode::GlossyBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_MICROFACET_GGX_ID;
+  distribution_orig = NBUILTIN_CLOSURES;
+}
+
+void GlossyBsdfNode::simplify_settings(Scene *scene)
+{
+  if (distribution_orig == NBUILTIN_CLOSURES) {
+    roughness_orig = roughness;
+    distribution_orig = distribution;
+  }
+  else {
+    /* By default we use original values, so we don't worry about restoring
+     * defaults later one and can only do override when needed.
+     */
+    roughness = roughness_orig;
+    distribution = distribution_orig;
+  }
+  Integrator *integrator = scene->integrator;
+  ShaderInput *roughness_input = input("Roughness");
+  if (integrator->get_filter_glossy() == 0.0f) {
+    /* Fallback to Sharp closure for Roughness close to 0.
+     * Note: Keep the epsilon in sync with kernel!
+     */
+    if (!roughness_input->link && roughness <= 1e-4f) {
+      VLOG(1) << "Using sharp glossy BSDF.";
+      distribution = CLOSURE_BSDF_REFLECTION_ID;
+    }
+  }
+  else {
+    /* If filter glossy is used we replace Sharp glossy with GGX so we can
+     * benefit from closure blur to remove unwanted noise.
+     */
+    if (roughness_input->link == NULL && distribution == CLOSURE_BSDF_REFLECTION_ID) {
+      VLOG(1) << "Using GGX glossy with filter glossy.";
+      distribution = CLOSURE_BSDF_MICROFACET_GGX_ID;
+      roughness = 0.0f;
+    }
+  }
+  closure = distribution;
+}
+
+bool GlossyBsdfNode::has_integrator_dependency()
+{
+  ShaderInput *roughness_input = input("Roughness");
+  return !roughness_input->link &&
+         (distribution == CLOSURE_BSDF_REFLECTION_ID || roughness <= 1e-4f);
+}
+
+void GlossyBsdfNode::compile(SVMCompiler &compiler)
+{
+  closure = distribution;
+
+  if (closure == CLOSURE_BSDF_REFLECTION_ID)
+    BsdfNode::compile(compiler, NULL, NULL);
+  else if (closure == CLOSURE_BSDF_MICROFACET_MULTI_GGX_ID)
+    BsdfNode::compile(compiler, input("Roughness"), NULL, NULL, input("Color"));
+  else
+    BsdfNode::compile(compiler, input("Roughness"), NULL);
+}
+
+void GlossyBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "distribution");
+  compiler.add(this, "node_glossy_bsdf");
+}
+
+/* Glass BSDF Closure */
+
+NODE_DEFINE(GlassBsdfNode)
+{
+  NodeType *type = NodeType::add("glass_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  static NodeEnum distribution_enum;
+  distribution_enum.insert("sharp", CLOSURE_BSDF_SHARP_GLASS_ID);
+  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_GLASS_ID);
+  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID);
+  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID);
+  SOCKET_ENUM(
+      distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID);
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.0f);
+  SOCKET_IN_FLOAT(IOR, "IOR", 0.3f);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+GlassBsdfNode::GlassBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_SHARP_GLASS_ID;
+  distribution_orig = NBUILTIN_CLOSURES;
+}
+
+void GlassBsdfNode::simplify_settings(Scene *scene)
+{
+  if (distribution_orig == NBUILTIN_CLOSURES) {
+    roughness_orig = roughness;
+    distribution_orig = distribution;
+  }
+  else {
+    /* By default we use original values, so we don't worry about restoring
+     * defaults later one and can only do override when needed.
+     */
+    roughness = roughness_orig;
+    distribution = distribution_orig;
+  }
+  Integrator *integrator = scene->integrator;
+  ShaderInput *roughness_input = input("Roughness");
+  if (integrator->get_filter_glossy() == 0.0f) {
+    /* Fallback to Sharp closure for Roughness close to 0.
+     * Note: Keep the epsilon in sync with kernel!
+     */
+    if (!roughness_input->link && roughness <= 1e-4f) {
+      VLOG(1) << "Using sharp glass BSDF.";
+      distribution = CLOSURE_BSDF_SHARP_GLASS_ID;
+    }
+  }
+  else {
+    /* If filter glossy is used we replace Sharp glossy with GGX so we can
+     * benefit from closure blur to remove unwanted noise.
+     */
+    if (roughness_input->link == NULL && distribution == CLOSURE_BSDF_SHARP_GLASS_ID) {
+      VLOG(1) << "Using GGX glass with filter glossy.";
+      distribution = CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID;
+      roughness = 0.0f;
+    }
+  }
+  closure = distribution;
+}
+
+bool GlassBsdfNode::has_integrator_dependency()
+{
+  ShaderInput *roughness_input = input("Roughness");
+  return !roughness_input->link &&
+         (distribution == CLOSURE_BSDF_SHARP_GLASS_ID || roughness <= 1e-4f);
+}
+
+void GlassBsdfNode::compile(SVMCompiler &compiler)
+{
+  closure = distribution;
+
+  if (closure == CLOSURE_BSDF_SHARP_GLASS_ID)
+    BsdfNode::compile(compiler, NULL, input("IOR"));
+  else if (closure == CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID)
+    BsdfNode::compile(compiler, input("Roughness"), input("IOR"), input("Color"));
+  else
+    BsdfNode::compile(compiler, input("Roughness"), input("IOR"));
+}
+
+void GlassBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "distribution");
+  compiler.add(this, "node_glass_bsdf");
+}
+
+/* Refraction BSDF Closure */
+
+NODE_DEFINE(RefractionBsdfNode)
+{
+  NodeType *type = NodeType::add("refraction_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  static NodeEnum distribution_enum;
+  distribution_enum.insert("sharp", CLOSURE_BSDF_REFRACTION_ID);
+  distribution_enum.insert("beckmann", CLOSURE_BSDF_MICROFACET_BECKMANN_REFRACTION_ID);
+  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_REFRACTION_ID);
+  SOCKET_ENUM(
+      distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_GGX_REFRACTION_ID);
+
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.0f);
+  SOCKET_IN_FLOAT(IOR, "IOR", 0.3f);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+RefractionBsdfNode::RefractionBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_REFRACTION_ID;
+  distribution_orig = NBUILTIN_CLOSURES;
+}
+
+void RefractionBsdfNode::simplify_settings(Scene *scene)
+{
+  if (distribution_orig == NBUILTIN_CLOSURES) {
+    roughness_orig = roughness;
+    distribution_orig = distribution;
+  }
+  else {
+    /* By default we use original values, so we don't worry about restoring
+     * defaults later one and can only do override when needed.
+     */
+    roughness = roughness_orig;
+    distribution = distribution_orig;
+  }
+  Integrator *integrator = scene->integrator;
+  ShaderInput *roughness_input = input("Roughness");
+  if (integrator->get_filter_glossy() == 0.0f) {
+    /* Fallback to Sharp closure for Roughness close to 0.
+     * Note: Keep the epsilon in sync with kernel!
+     */
+    if (!roughness_input->link && roughness <= 1e-4f) {
+      VLOG(1) << "Using sharp refraction BSDF.";
+      distribution = CLOSURE_BSDF_REFRACTION_ID;
+    }
+  }
+  else {
+    /* If filter glossy is used we replace Sharp glossy with GGX so we can
+     * benefit from closure blur to remove unwanted noise.
+     */
+    if (roughness_input->link == NULL && distribution == CLOSURE_BSDF_REFRACTION_ID) {
+      VLOG(1) << "Using GGX refraction with filter glossy.";
+      distribution = CLOSURE_BSDF_MICROFACET_GGX_REFRACTION_ID;
+      roughness = 0.0f;
+    }
+  }
+  closure = distribution;
+}
+
+bool RefractionBsdfNode::has_integrator_dependency()
+{
+  ShaderInput *roughness_input = input("Roughness");
+  return !roughness_input->link &&
+         (distribution == CLOSURE_BSDF_REFRACTION_ID || roughness <= 1e-4f);
+}
+
+void RefractionBsdfNode::compile(SVMCompiler &compiler)
+{
+  closure = distribution;
+
+  if (closure == CLOSURE_BSDF_REFRACTION_ID)
+    BsdfNode::compile(compiler, NULL, input("IOR"));
+  else
+    BsdfNode::compile(compiler, input("Roughness"), input("IOR"));
+}
+
+void RefractionBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "distribution");
+  compiler.add(this, "node_refraction_bsdf");
+}
+
+/* Toon BSDF Closure */
+
+NODE_DEFINE(ToonBsdfNode)
+{
+  NodeType *type = NodeType::add("toon_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  static NodeEnum component_enum;
+  component_enum.insert("diffuse", CLOSURE_BSDF_DIFFUSE_TOON_ID);
+  component_enum.insert("glossy", CLOSURE_BSDF_GLOSSY_TOON_ID);
+  SOCKET_ENUM(component, "Component", component_enum, CLOSURE_BSDF_DIFFUSE_TOON_ID);
+  SOCKET_IN_FLOAT(size, "Size", 0.5f);
+  SOCKET_IN_FLOAT(smooth, "Smooth", 0.0f);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+ToonBsdfNode::ToonBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_DIFFUSE_TOON_ID;
+}
+
+void ToonBsdfNode::compile(SVMCompiler &compiler)
+{
+  closure = component;
+
+  BsdfNode::compile(compiler, input("Size"), input("Smooth"));
+}
+
+void ToonBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "component");
+  compiler.add(this, "node_toon_bsdf");
+}
+
+/* Velvet BSDF Closure */
+
+NODE_DEFINE(VelvetBsdfNode)
+{
+  NodeType *type = NodeType::add("velvet_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+  SOCKET_IN_FLOAT(sigma, "Sigma", 1.0f);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+VelvetBsdfNode::VelvetBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_ASHIKHMIN_VELVET_ID;
+}
+
+void VelvetBsdfNode::compile(SVMCompiler &compiler)
+{
+  BsdfNode::compile(compiler, input("Sigma"), NULL);
+}
+
+void VelvetBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_velvet_bsdf");
+}
+
+/* Diffuse BSDF Closure */
+
+NODE_DEFINE(DiffuseBsdfNode)
+{
+  NodeType *type = NodeType::add("diffuse_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.0f);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+DiffuseBsdfNode::DiffuseBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_DIFFUSE_ID;
+}
+
+void DiffuseBsdfNode::compile(SVMCompiler &compiler)
+{
+  BsdfNode::compile(compiler, input("Roughness"), NULL);
+}
+
+void DiffuseBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_diffuse_bsdf");
+}
+
+/* Disney principled BSDF Closure */
+NODE_DEFINE(PrincipledBsdfNode)
+{
+  NodeType *type = NodeType::add("principled_bsdf", create, NodeType::SHADER);
+
+  static NodeEnum distribution_enum;
+  distribution_enum.insert("GGX", CLOSURE_BSDF_MICROFACET_GGX_GLASS_ID);
+  distribution_enum.insert("Multiscatter GGX", CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID);
+  SOCKET_ENUM(
+      distribution, "Distribution", distribution_enum, CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID);
+
+  static NodeEnum subsurface_method_enum;
+  subsurface_method_enum.insert("burley", CLOSURE_BSSRDF_BURLEY_ID);
+  subsurface_method_enum.insert("random_walk_fixed_radius",
+                                CLOSURE_BSSRDF_RANDOM_WALK_FIXED_RADIUS_ID);
+  subsurface_method_enum.insert("random_walk", CLOSURE_BSSRDF_RANDOM_WALK_ID);
+  SOCKET_ENUM(subsurface_method,
+              "Subsurface Method",
+              subsurface_method_enum,
+              CLOSURE_BSSRDF_RANDOM_WALK_ID);
+
+  SOCKET_IN_COLOR(base_color, "Base Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_COLOR(subsurface_color, "Subsurface Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_FLOAT(metallic, "Metallic", 0.0f);
+  SOCKET_IN_FLOAT(subsurface, "Subsurface", 0.0f);
+  SOCKET_IN_VECTOR(subsurface_radius, "Subsurface Radius", make_float3(0.1f, 0.1f, 0.1f));
+  SOCKET_IN_FLOAT(subsurface_ior, "Subsurface IOR", 1.4f);
+  SOCKET_IN_FLOAT(subsurface_anisotropy, "Subsurface Anisotropy", 0.0f);
+  SOCKET_IN_FLOAT(specular, "Specular", 0.0f);
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.5f);
+  SOCKET_IN_FLOAT(specular_tint, "Specular Tint", 0.0f);
+  SOCKET_IN_FLOAT(anisotropic, "Anisotropic", 0.0f);
+  SOCKET_IN_FLOAT(sheen, "Sheen", 0.0f);
+  SOCKET_IN_FLOAT(sheen_tint, "Sheen Tint", 0.0f);
+  SOCKET_IN_FLOAT(clearcoat, "Clearcoat", 0.0f);
+  SOCKET_IN_FLOAT(clearcoat_roughness, "Clearcoat Roughness", 0.03f);
+  SOCKET_IN_FLOAT(ior, "IOR", 0.0f);
+  SOCKET_IN_FLOAT(transmission, "Transmission", 0.0f);
+  SOCKET_IN_FLOAT(transmission_roughness, "Transmission Roughness", 0.0f);
+  SOCKET_IN_FLOAT(anisotropic_rotation, "Anisotropic Rotation", 0.0f);
+  SOCKET_IN_COLOR(emission, "Emission", zero_float3());
+  SOCKET_IN_FLOAT(emission_strength, "Emission Strength", 1.0f);
+  SOCKET_IN_FLOAT(alpha, "Alpha", 1.0f);
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_NORMAL(clearcoat_normal, "Clearcoat Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_NORMAL(tangent, "Tangent", zero_float3(), SocketType::LINK_TANGENT);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+PrincipledBsdfNode::PrincipledBsdfNode() : BsdfBaseNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_PRINCIPLED_ID;
+  distribution = CLOSURE_BSDF_MICROFACET_MULTI_GGX_GLASS_ID;
+  distribution_orig = NBUILTIN_CLOSURES;
+}
+
+void PrincipledBsdfNode::expand(ShaderGraph *graph)
+{
+  ShaderOutput *principled_out = output("BSDF");
+
+  ShaderInput *emission_in = input("Emission");
+  ShaderInput *emission_strength_in = input("Emission Strength");
+  if ((emission_in->link || emission != zero_float3()) &&
+      (emission_strength_in->link || emission_strength != 0.0f)) {
+    /* Create add closure and emission, and relink inputs. */
+    AddClosureNode *add = graph->create_node<AddClosureNode>();
+    EmissionNode *emission_node = graph->create_node<EmissionNode>();
+    ShaderOutput *new_out = add->output("Closure");
+
+    graph->add(add);
+    graph->add(emission_node);
+
+    graph->relink(emission_strength_in, emission_node->input("Strength"));
+    graph->relink(emission_in, emission_node->input("Color"));
+    graph->relink(principled_out, new_out);
+    graph->connect(emission_node->output("Emission"), add->input("Closure1"));
+    graph->connect(principled_out, add->input("Closure2"));
+
+    principled_out = new_out;
+  }
+  else {
+    /* Disconnect unused links if the other value is zero, required before
+     * we remove the input from the node entirely. */
+    if (emission_in->link) {
+      emission_in->disconnect();
+    }
+    if (emission_strength_in->link) {
+      emission_strength_in->disconnect();
+    }
+  }
+
+  ShaderInput *alpha_in = input("Alpha");
+  if (alpha_in->link || alpha != 1.0f) {
+    /* Create mix and transparent BSDF for alpha transparency. */
+    MixClosureNode *mix = graph->create_node<MixClosureNode>();
+    TransparentBsdfNode *transparent = graph->create_node<TransparentBsdfNode>();
+
+    graph->add(mix);
+    graph->add(transparent);
+
+    graph->relink(alpha_in, mix->input("Fac"));
+    graph->relink(principled_out, mix->output("Closure"));
+    graph->connect(transparent->output("BSDF"), mix->input("Closure1"));
+    graph->connect(principled_out, mix->input("Closure2"));
+  }
+
+  remove_input(emission_in);
+  remove_input(emission_strength_in);
+  remove_input(alpha_in);
+}
+
+bool PrincipledBsdfNode::has_surface_bssrdf()
+{
+  ShaderInput *subsurface_in = input("Subsurface");
+  return (subsurface_in->link != NULL || subsurface > CLOSURE_WEIGHT_CUTOFF);
+}
+
+void PrincipledBsdfNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link()) {
+    ShaderInput *tangent_in = input("Tangent");
+
+    if (!tangent_in->link)
+      attributes->add(ATTR_STD_GENERATED);
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void PrincipledBsdfNode::compile(SVMCompiler &compiler,
+                                 ShaderInput *p_metallic,
+                                 ShaderInput *p_subsurface,
+                                 ShaderInput *p_subsurface_radius,
+                                 ShaderInput *p_subsurface_ior,
+                                 ShaderInput *p_subsurface_anisotropy,
+                                 ShaderInput *p_specular,
+                                 ShaderInput *p_roughness,
+                                 ShaderInput *p_specular_tint,
+                                 ShaderInput *p_anisotropic,
+                                 ShaderInput *p_sheen,
+                                 ShaderInput *p_sheen_tint,
+                                 ShaderInput *p_clearcoat,
+                                 ShaderInput *p_clearcoat_roughness,
+                                 ShaderInput *p_ior,
+                                 ShaderInput *p_transmission,
+                                 ShaderInput *p_anisotropic_rotation,
+                                 ShaderInput *p_transmission_roughness)
+{
+  ShaderInput *base_color_in = input("Base Color");
+  ShaderInput *subsurface_color_in = input("Subsurface Color");
+  ShaderInput *normal_in = input("Normal");
+  ShaderInput *clearcoat_normal_in = input("Clearcoat Normal");
+  ShaderInput *tangent_in = input("Tangent");
+
+  float3 weight = one_float3();
+
+  compiler.add_node(NODE_CLOSURE_SET_WEIGHT, weight);
+
+  int normal_offset = compiler.stack_assign_if_linked(normal_in);
+  int clearcoat_normal_offset = compiler.stack_assign_if_linked(clearcoat_normal_in);
+  int tangent_offset = compiler.stack_assign_if_linked(tangent_in);
+  int specular_offset = compiler.stack_assign(p_specular);
+  int roughness_offset = compiler.stack_assign(p_roughness);
+  int specular_tint_offset = compiler.stack_assign(p_specular_tint);
+  int anisotropic_offset = compiler.stack_assign(p_anisotropic);
+  int sheen_offset = compiler.stack_assign(p_sheen);
+  int sheen_tint_offset = compiler.stack_assign(p_sheen_tint);
+  int clearcoat_offset = compiler.stack_assign(p_clearcoat);
+  int clearcoat_roughness_offset = compiler.stack_assign(p_clearcoat_roughness);
+  int ior_offset = compiler.stack_assign(p_ior);
+  int transmission_offset = compiler.stack_assign(p_transmission);
+  int transmission_roughness_offset = compiler.stack_assign(p_transmission_roughness);
+  int anisotropic_rotation_offset = compiler.stack_assign(p_anisotropic_rotation);
+  int subsurface_radius_offset = compiler.stack_assign(p_subsurface_radius);
+  int subsurface_ior_offset = compiler.stack_assign(p_subsurface_ior);
+  int subsurface_anisotropy_offset = compiler.stack_assign(p_subsurface_anisotropy);
+
+  compiler.add_node(NODE_CLOSURE_BSDF,
+                    compiler.encode_uchar4(closure,
+                                           compiler.stack_assign(p_metallic),
+                                           compiler.stack_assign(p_subsurface),
+                                           compiler.closure_mix_weight_offset()),
+                    __float_as_int((p_metallic) ? get_float(p_metallic->socket_type) : 0.0f),
+                    __float_as_int((p_subsurface) ? get_float(p_subsurface->socket_type) : 0.0f));
+
+  compiler.add_node(
+      normal_offset,
+      tangent_offset,
+      compiler.encode_uchar4(
+          specular_offset, roughness_offset, specular_tint_offset, anisotropic_offset),
+      compiler.encode_uchar4(
+          sheen_offset, sheen_tint_offset, clearcoat_offset, clearcoat_roughness_offset));
+
+  compiler.add_node(compiler.encode_uchar4(ior_offset,
+                                           transmission_offset,
+                                           anisotropic_rotation_offset,
+                                           transmission_roughness_offset),
+                    distribution,
+                    subsurface_method,
+                    SVM_STACK_INVALID);
+
+  float3 bc_default = get_float3(base_color_in->socket_type);
+
+  compiler.add_node(
+      ((base_color_in->link) ? compiler.stack_assign(base_color_in) : SVM_STACK_INVALID),
+      __float_as_int(bc_default.x),
+      __float_as_int(bc_default.y),
+      __float_as_int(bc_default.z));
+
+  compiler.add_node(clearcoat_normal_offset,
+                    subsurface_radius_offset,
+                    subsurface_ior_offset,
+                    subsurface_anisotropy_offset);
+
+  float3 ss_default = get_float3(subsurface_color_in->socket_type);
+
+  compiler.add_node(((subsurface_color_in->link) ? compiler.stack_assign(subsurface_color_in) :
+                                                   SVM_STACK_INVALID),
+                    __float_as_int(ss_default.x),
+                    __float_as_int(ss_default.y),
+                    __float_as_int(ss_default.z));
+}
+
+bool PrincipledBsdfNode::has_integrator_dependency()
+{
+  ShaderInput *roughness_input = input("Roughness");
+  return !roughness_input->link && roughness <= 1e-4f;
+}
+
+void PrincipledBsdfNode::compile(SVMCompiler &compiler)
+{
+  compile(compiler,
+          input("Metallic"),
+          input("Subsurface"),
+          input("Subsurface Radius"),
+          input("Subsurface IOR"),
+          input("Subsurface Anisotropy"),
+          input("Specular"),
+          input("Roughness"),
+          input("Specular Tint"),
+          input("Anisotropic"),
+          input("Sheen"),
+          input("Sheen Tint"),
+          input("Clearcoat"),
+          input("Clearcoat Roughness"),
+          input("IOR"),
+          input("Transmission"),
+          input("Anisotropic Rotation"),
+          input("Transmission Roughness"));
+}
+
+void PrincipledBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "distribution");
+  compiler.parameter(this, "subsurface_method");
+  compiler.add(this, "node_principled_bsdf");
+}
+
+bool PrincipledBsdfNode::has_bssrdf_bump()
+{
+  return has_surface_bssrdf() && has_bump();
+}
+
+/* Translucent BSDF Closure */
+
+NODE_DEFINE(TranslucentBsdfNode)
+{
+  NodeType *type = NodeType::add("translucent_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+TranslucentBsdfNode::TranslucentBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_TRANSLUCENT_ID;
+}
+
+void TranslucentBsdfNode::compile(SVMCompiler &compiler)
+{
+  BsdfNode::compile(compiler, NULL, NULL);
+}
+
+void TranslucentBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_translucent_bsdf");
+}
+
+/* Transparent BSDF Closure */
+
+NODE_DEFINE(TransparentBsdfNode)
+{
+  NodeType *type = NodeType::add("transparent_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", one_float3());
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+TransparentBsdfNode::TransparentBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_TRANSPARENT_ID;
+}
+
+void TransparentBsdfNode::compile(SVMCompiler &compiler)
+{
+  BsdfNode::compile(compiler, NULL, NULL);
+}
+
+void TransparentBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_transparent_bsdf");
+}
+
+/* Subsurface Scattering Closure */
+
+NODE_DEFINE(SubsurfaceScatteringNode)
+{
+  NodeType *type = NodeType::add("subsurface_scattering", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  static NodeEnum method_enum;
+  method_enum.insert("burley", CLOSURE_BSSRDF_BURLEY_ID);
+  method_enum.insert("random_walk_fixed_radius", CLOSURE_BSSRDF_RANDOM_WALK_FIXED_RADIUS_ID);
+  method_enum.insert("random_walk", CLOSURE_BSSRDF_RANDOM_WALK_ID);
+  SOCKET_ENUM(method, "Method", method_enum, CLOSURE_BSSRDF_RANDOM_WALK_ID);
+
+  SOCKET_IN_FLOAT(scale, "Scale", 0.01f);
+  SOCKET_IN_VECTOR(radius, "Radius", make_float3(0.1f, 0.1f, 0.1f));
+
+  SOCKET_IN_FLOAT(subsurface_ior, "IOR", 1.4f);
+  SOCKET_IN_FLOAT(subsurface_anisotropy, "Anisotropy", 0.0f);
+
+  SOCKET_OUT_CLOSURE(BSSRDF, "BSSRDF");
+
+  return type;
+}
+
+SubsurfaceScatteringNode::SubsurfaceScatteringNode() : BsdfNode(get_node_type())
+{
+  closure = method;
+}
+
+void SubsurfaceScatteringNode::compile(SVMCompiler &compiler)
+{
+  closure = method;
+  BsdfNode::compile(compiler, input("Scale"), input("IOR"), input("Radius"), input("Anisotropy"));
+}
+
+void SubsurfaceScatteringNode::compile(OSLCompiler &compiler)
+{
+  closure = method;
+  compiler.parameter(this, "method");
+  compiler.add(this, "node_subsurface_scattering");
+}
+
+bool SubsurfaceScatteringNode::has_bssrdf_bump()
+{
+  /* detect if anything is plugged into the normal input besides the default */
+  ShaderInput *normal_in = input("Normal");
+  return (normal_in->link &&
+          normal_in->link->parent->special_type != SHADER_SPECIAL_TYPE_GEOMETRY);
+}
+
+/* Emissive Closure */
+
+NODE_DEFINE(EmissionNode)
+{
+  NodeType *type = NodeType::add("emission", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_FLOAT(strength, "Strength", 10.0f);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(emission, "Emission");
+
+  return type;
+}
+
+EmissionNode::EmissionNode() : ShaderNode(get_node_type())
+{
+}
+
+void EmissionNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *strength_in = input("Strength");
+
+  if (color_in->link || strength_in->link) {
+    compiler.add_node(
+        NODE_EMISSION_WEIGHT, compiler.stack_assign(color_in), compiler.stack_assign(strength_in));
+  }
+  else
+    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color * strength);
+
+  compiler.add_node(NODE_CLOSURE_EMISSION, compiler.closure_mix_weight_offset());
+}
+
+void EmissionNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_emission");
+}
+
+void EmissionNode::constant_fold(const ConstantFolder &folder)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *strength_in = input("Strength");
+
+  if ((!color_in->link && color == zero_float3()) || (!strength_in->link && strength == 0.0f)) {
+    folder.discard();
+  }
+}
+
+/* Background Closure */
+
+NODE_DEFINE(BackgroundNode)
+{
+  NodeType *type = NodeType::add("background_shader", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(background, "Background");
+
+  return type;
+}
+
+BackgroundNode::BackgroundNode() : ShaderNode(get_node_type())
+{
+}
+
+void BackgroundNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *strength_in = input("Strength");
+
+  if (color_in->link || strength_in->link) {
+    compiler.add_node(
+        NODE_EMISSION_WEIGHT, compiler.stack_assign(color_in), compiler.stack_assign(strength_in));
+  }
+  else
+    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color * strength);
+
+  compiler.add_node(NODE_CLOSURE_BACKGROUND, compiler.closure_mix_weight_offset());
+}
+
+void BackgroundNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_background");
+}
+
+void BackgroundNode::constant_fold(const ConstantFolder &folder)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *strength_in = input("Strength");
+
+  if ((!color_in->link && color == zero_float3()) || (!strength_in->link && strength == 0.0f)) {
+    folder.discard();
+  }
+}
+
+/* Holdout Closure */
+
+NODE_DEFINE(HoldoutNode)
+{
+  NodeType *type = NodeType::add("holdout", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(holdout, "Holdout");
+
+  return type;
+}
+
+HoldoutNode::HoldoutNode() : ShaderNode(get_node_type())
+{
+}
+
+void HoldoutNode::compile(SVMCompiler &compiler)
+{
+  float3 value = one_float3();
+
+  compiler.add_node(NODE_CLOSURE_SET_WEIGHT, value);
+  compiler.add_node(NODE_CLOSURE_HOLDOUT, compiler.closure_mix_weight_offset());
+}
+
+void HoldoutNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_holdout");
+}
+
+/* Ambient Occlusion */
+
+NODE_DEFINE(AmbientOcclusionNode)
+{
+  NodeType *type = NodeType::add("ambient_occlusion", create, NodeType::SHADER);
+
+  SOCKET_INT(samples, "Samples", 16);
+
+  SOCKET_IN_COLOR(color, "Color", one_float3());
+  SOCKET_IN_FLOAT(distance, "Distance", 1.0f);
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+
+  SOCKET_BOOLEAN(inside, "Inside", false);
+  SOCKET_BOOLEAN(only_local, "Only Local", false);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(ao, "AO");
+
+  return type;
+}
+
+AmbientOcclusionNode::AmbientOcclusionNode() : ShaderNode(get_node_type())
+{
+}
+
+void AmbientOcclusionNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *distance_in = input("Distance");
+  ShaderInput *normal_in = input("Normal");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *ao_out = output("AO");
+
+  int flags = (inside ? NODE_AO_INSIDE : 0) | (only_local ? NODE_AO_ONLY_LOCAL : 0);
+
+  if (!distance_in->link && distance == 0.0f) {
+    flags |= NODE_AO_GLOBAL_RADIUS;
+  }
+
+  compiler.add_node(NODE_AMBIENT_OCCLUSION,
+                    compiler.encode_uchar4(flags,
+                                           compiler.stack_assign_if_linked(distance_in),
+                                           compiler.stack_assign_if_linked(normal_in),
+                                           compiler.stack_assign(ao_out)),
+                    compiler.encode_uchar4(compiler.stack_assign(color_in),
+                                           compiler.stack_assign(color_out),
+                                           samples),
+                    __float_as_uint(distance));
+}
+
+void AmbientOcclusionNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "samples");
+  compiler.parameter(this, "inside");
+  compiler.parameter(this, "only_local");
+  compiler.add(this, "node_ambient_occlusion");
+}
+
+/* Volume Closure */
+
+VolumeNode::VolumeNode(const NodeType *node_type) : ShaderNode(node_type)
+{
+  closure = CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID;
+}
+
+void VolumeNode::compile(SVMCompiler &compiler, ShaderInput *param1, ShaderInput *param2)
+{
+  ShaderInput *color_in = input("Color");
+
+  if (color_in->link)
+    compiler.add_node(NODE_CLOSURE_WEIGHT, compiler.stack_assign(color_in));
+  else
+    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color);
+
+  compiler.add_node(
+      NODE_CLOSURE_VOLUME,
+      compiler.encode_uchar4(closure,
+                             (param1) ? compiler.stack_assign(param1) : SVM_STACK_INVALID,
+                             (param2) ? compiler.stack_assign(param2) : SVM_STACK_INVALID,
+                             compiler.closure_mix_weight_offset()),
+      __float_as_int((param1) ? get_float(param1->socket_type) : 0.0f),
+      __float_as_int((param2) ? get_float(param2->socket_type) : 0.0f));
+}
+
+void VolumeNode::compile(SVMCompiler &compiler)
+{
+  compile(compiler, NULL, NULL);
+}
+
+void VolumeNode::compile(OSLCompiler & /*compiler*/)
+{
+  assert(0);
+}
+
+/* Absorption Volume Closure */
+
+NODE_DEFINE(AbsorptionVolumeNode)
+{
+  NodeType *type = NodeType::add("absorption_volume", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_FLOAT(density, "Density", 1.0f);
+  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(volume, "Volume");
+
+  return type;
+}
+
+AbsorptionVolumeNode::AbsorptionVolumeNode() : VolumeNode(get_node_type())
+{
+  closure = CLOSURE_VOLUME_ABSORPTION_ID;
+}
+
+void AbsorptionVolumeNode::compile(SVMCompiler &compiler)
+{
+  VolumeNode::compile(compiler, input("Density"), NULL);
+}
+
+void AbsorptionVolumeNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_absorption_volume");
+}
+
+/* Scatter Volume Closure */
+
+NODE_DEFINE(ScatterVolumeNode)
+{
+  NodeType *type = NodeType::add("scatter_volume", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_FLOAT(density, "Density", 1.0f);
+  SOCKET_IN_FLOAT(anisotropy, "Anisotropy", 0.0f);
+  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(volume, "Volume");
+
+  return type;
+}
+
+ScatterVolumeNode::ScatterVolumeNode() : VolumeNode(get_node_type())
+{
+  closure = CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID;
+}
+
+void ScatterVolumeNode::compile(SVMCompiler &compiler)
+{
+  VolumeNode::compile(compiler, input("Density"), input("Anisotropy"));
+}
+
+void ScatterVolumeNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_scatter_volume");
+}
+
+/* Principled Volume Closure */
+
+NODE_DEFINE(PrincipledVolumeNode)
+{
+  NodeType *type = NodeType::add("principled_volume", create, NodeType::SHADER);
+
+  SOCKET_IN_STRING(density_attribute, "Density Attribute", ustring());
+  SOCKET_IN_STRING(color_attribute, "Color Attribute", ustring());
+  SOCKET_IN_STRING(temperature_attribute, "Temperature Attribute", ustring());
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.5f, 0.5f, 0.5f));
+  SOCKET_IN_FLOAT(density, "Density", 1.0f);
+  SOCKET_IN_FLOAT(anisotropy, "Anisotropy", 0.0f);
+  SOCKET_IN_COLOR(absorption_color, "Absorption Color", zero_float3());
+  SOCKET_IN_FLOAT(emission_strength, "Emission Strength", 0.0f);
+  SOCKET_IN_COLOR(emission_color, "Emission Color", one_float3());
+  SOCKET_IN_FLOAT(blackbody_intensity, "Blackbody Intensity", 0.0f);
+  SOCKET_IN_COLOR(blackbody_tint, "Blackbody Tint", one_float3());
+  SOCKET_IN_FLOAT(temperature, "Temperature", 1000.0f);
+  SOCKET_IN_FLOAT(volume_mix_weight, "VolumeMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(volume, "Volume");
+
+  return type;
+}
+
+PrincipledVolumeNode::PrincipledVolumeNode() : VolumeNode(get_node_type())
+{
+  closure = CLOSURE_VOLUME_HENYEY_GREENSTEIN_ID;
+  density_attribute = ustring("density");
+  temperature_attribute = ustring("temperature");
+}
+
+void PrincipledVolumeNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_volume) {
+    ShaderInput *density_in = input("Density");
+    ShaderInput *blackbody_in = input("Blackbody Intensity");
+
+    if (density_in->link || density > 0.0f) {
+      attributes->add_standard(density_attribute);
+      attributes->add_standard(color_attribute);
+    }
+
+    if (blackbody_in->link || blackbody_intensity > 0.0f) {
+      attributes->add_standard(temperature_attribute);
+    }
+
+    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void PrincipledVolumeNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *density_in = input("Density");
+  ShaderInput *anisotropy_in = input("Anisotropy");
+  ShaderInput *absorption_color_in = input("Absorption Color");
+  ShaderInput *emission_in = input("Emission Strength");
+  ShaderInput *emission_color_in = input("Emission Color");
+  ShaderInput *blackbody_in = input("Blackbody Intensity");
+  ShaderInput *blackbody_tint_in = input("Blackbody Tint");
+  ShaderInput *temperature_in = input("Temperature");
+
+  if (color_in->link)
+    compiler.add_node(NODE_CLOSURE_WEIGHT, compiler.stack_assign(color_in));
+  else
+    compiler.add_node(NODE_CLOSURE_SET_WEIGHT, color);
+
+  compiler.add_node(NODE_PRINCIPLED_VOLUME,
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(density_in),
+                                           compiler.stack_assign_if_linked(anisotropy_in),
+                                           compiler.stack_assign(absorption_color_in),
+                                           compiler.closure_mix_weight_offset()),
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(emission_in),
+                                           compiler.stack_assign(emission_color_in),
+                                           compiler.stack_assign_if_linked(blackbody_in),
+                                           compiler.stack_assign(temperature_in)),
+                    compiler.stack_assign(blackbody_tint_in));
+
+  int attr_density = compiler.attribute_standard(density_attribute);
+  int attr_color = compiler.attribute_standard(color_attribute);
+  int attr_temperature = compiler.attribute_standard(temperature_attribute);
+
+  compiler.add_node(__float_as_int(density),
+                    __float_as_int(anisotropy),
+                    __float_as_int(emission_strength),
+                    __float_as_int(blackbody_intensity));
+
+  compiler.add_node(attr_density, attr_color, attr_temperature);
+}
+
+void PrincipledVolumeNode::compile(OSLCompiler &compiler)
+{
+  if (Attribute::name_standard(density_attribute.c_str())) {
+    density_attribute = ustring("geom:" + density_attribute.string());
+  }
+  if (Attribute::name_standard(color_attribute.c_str())) {
+    color_attribute = ustring("geom:" + color_attribute.string());
+  }
+  if (Attribute::name_standard(temperature_attribute.c_str())) {
+    temperature_attribute = ustring("geom:" + temperature_attribute.string());
+  }
+
+  compiler.add(this, "node_principled_volume");
+}
+
+/* Principled Hair BSDF Closure */
+
+NODE_DEFINE(PrincipledHairBsdfNode)
+{
+  NodeType *type = NodeType::add("principled_hair_bsdf", create, NodeType::SHADER);
+
+  /* Color parametrization specified as enum. */
+  static NodeEnum parametrization_enum;
+  parametrization_enum.insert("Direct coloring", NODE_PRINCIPLED_HAIR_REFLECTANCE);
+  parametrization_enum.insert("Melanin concentration", NODE_PRINCIPLED_HAIR_PIGMENT_CONCENTRATION);
+  parametrization_enum.insert("Absorption coefficient", NODE_PRINCIPLED_HAIR_DIRECT_ABSORPTION);
+  SOCKET_ENUM(
+      parametrization, "Parametrization", parametrization_enum, NODE_PRINCIPLED_HAIR_REFLECTANCE);
+
+  /* Initialize sockets to their default values. */
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.017513f, 0.005763f, 0.002059f));
+  SOCKET_IN_FLOAT(melanin, "Melanin", 0.8f);
+  SOCKET_IN_FLOAT(melanin_redness, "Melanin Redness", 1.0f);
+  SOCKET_IN_COLOR(tint, "Tint", make_float3(1.f, 1.f, 1.f));
+  SOCKET_IN_VECTOR(absorption_coefficient,
+                   "Absorption Coefficient",
+                   make_float3(0.245531f, 0.52f, 1.365f),
+                   SocketType::VECTOR);
+
+  SOCKET_IN_FLOAT(offset, "Offset", 2.f * M_PI_F / 180.f);
+  SOCKET_IN_FLOAT(roughness, "Roughness", 0.3f);
+  SOCKET_IN_FLOAT(radial_roughness, "Radial Roughness", 0.3f);
+  SOCKET_IN_FLOAT(coat, "Coat", 0.0f);
+  SOCKET_IN_FLOAT(ior, "IOR", 1.55f);
+
+  SOCKET_IN_FLOAT(random_roughness, "Random Roughness", 0.0f);
+  SOCKET_IN_FLOAT(random_color, "Random Color", 0.0f);
+  SOCKET_IN_FLOAT(random, "Random", 0.0f);
+
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+PrincipledHairBsdfNode::PrincipledHairBsdfNode() : BsdfBaseNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_HAIR_PRINCIPLED_ID;
+}
+
+/* Enable retrieving Hair Info -> Random if Random isn't linked. */
+void PrincipledHairBsdfNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (!input("Random")->link) {
+    attributes->add(ATTR_STD_CURVE_RANDOM);
+  }
+  ShaderNode::attributes(shader, attributes);
+}
+
+/* Prepares the input data for the SVM shader. */
+void PrincipledHairBsdfNode::compile(SVMCompiler &compiler)
+{
+  compiler.add_node(NODE_CLOSURE_SET_WEIGHT, one_float3());
+
+  ShaderInput *roughness_in = input("Roughness");
+  ShaderInput *radial_roughness_in = input("Radial Roughness");
+  ShaderInput *random_roughness_in = input("Random Roughness");
+  ShaderInput *offset_in = input("Offset");
+  ShaderInput *coat_in = input("Coat");
+  ShaderInput *ior_in = input("IOR");
+  ShaderInput *melanin_in = input("Melanin");
+  ShaderInput *melanin_redness_in = input("Melanin Redness");
+  ShaderInput *random_color_in = input("Random Color");
+
+  int color_ofs = compiler.stack_assign(input("Color"));
+  int tint_ofs = compiler.stack_assign(input("Tint"));
+  int absorption_coefficient_ofs = compiler.stack_assign(input("Absorption Coefficient"));
+
+  ShaderInput *random_in = input("Random");
+  int attr_random = random_in->link ? SVM_STACK_INVALID :
+                                      compiler.attribute(ATTR_STD_CURVE_RANDOM);
+
+  /* Encode all parameters into data nodes. */
+  compiler.add_node(NODE_CLOSURE_BSDF,
+                    /* Socket IDs can be packed 4 at a time into a single data packet */
+                    compiler.encode_uchar4(closure,
+                                           compiler.stack_assign_if_linked(roughness_in),
+                                           compiler.stack_assign_if_linked(radial_roughness_in),
+                                           compiler.closure_mix_weight_offset()),
+                    /* The rest are stored as unsigned integers */
+                    __float_as_uint(roughness),
+                    __float_as_uint(radial_roughness));
+
+  compiler.add_node(compiler.stack_assign_if_linked(input("Normal")),
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(offset_in),
+                                           compiler.stack_assign_if_linked(ior_in),
+                                           color_ofs,
+                                           parametrization),
+                    __float_as_uint(offset),
+                    __float_as_uint(ior));
+
+  compiler.add_node(compiler.encode_uchar4(compiler.stack_assign_if_linked(coat_in),
+                                           compiler.stack_assign_if_linked(melanin_in),
+                                           compiler.stack_assign_if_linked(melanin_redness_in),
+                                           absorption_coefficient_ofs),
+                    __float_as_uint(coat),
+                    __float_as_uint(melanin),
+                    __float_as_uint(melanin_redness));
+
+  compiler.add_node(compiler.encode_uchar4(tint_ofs,
+                                           compiler.stack_assign_if_linked(random_in),
+                                           compiler.stack_assign_if_linked(random_color_in),
+                                           compiler.stack_assign_if_linked(random_roughness_in)),
+                    __float_as_uint(random),
+                    __float_as_uint(random_color),
+                    __float_as_uint(random_roughness));
+
+  compiler.add_node(
+      compiler.encode_uchar4(
+          SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID, SVM_STACK_INVALID),
+      attr_random,
+      SVM_STACK_INVALID,
+      SVM_STACK_INVALID);
+}
+
+/* Prepares the input data for the OSL shader. */
+void PrincipledHairBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "parametrization");
+  compiler.add(this, "node_principled_hair_bsdf");
+}
+
+/* Hair BSDF Closure */
+
+NODE_DEFINE(HairBsdfNode)
+{
+  NodeType *type = NodeType::add("hair_bsdf", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.8f, 0.8f, 0.8f));
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(surface_mix_weight, "SurfaceMixWeight", 0.0f, SocketType::SVM_INTERNAL);
+
+  static NodeEnum component_enum;
+  component_enum.insert("reflection", CLOSURE_BSDF_HAIR_REFLECTION_ID);
+  component_enum.insert("transmission", CLOSURE_BSDF_HAIR_TRANSMISSION_ID);
+  SOCKET_ENUM(component, "Component", component_enum, CLOSURE_BSDF_HAIR_REFLECTION_ID);
+  SOCKET_IN_FLOAT(offset, "Offset", 0.0f);
+  SOCKET_IN_FLOAT(roughness_u, "RoughnessU", 0.2f);
+  SOCKET_IN_FLOAT(roughness_v, "RoughnessV", 0.2f);
+  SOCKET_IN_VECTOR(tangent, "Tangent", zero_float3());
+
+  SOCKET_OUT_CLOSURE(BSDF, "BSDF");
+
+  return type;
+}
+
+HairBsdfNode::HairBsdfNode() : BsdfNode(get_node_type())
+{
+  closure = CLOSURE_BSDF_HAIR_REFLECTION_ID;
+}
+
+void HairBsdfNode::compile(SVMCompiler &compiler)
+{
+  closure = component;
+
+  BsdfNode::compile(compiler, input("RoughnessU"), input("RoughnessV"), input("Offset"));
+}
+
+void HairBsdfNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "component");
+  compiler.add(this, "node_hair_bsdf");
+}
+
+/* Geometry */
+
+NODE_DEFINE(GeometryNode)
+{
+  NodeType *type = NodeType::add("geometry", create, NodeType::SHADER);
+
+  SOCKET_IN_NORMAL(
+      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
+
+  SOCKET_OUT_POINT(position, "Position");
+  SOCKET_OUT_NORMAL(normal, "Normal");
+  SOCKET_OUT_NORMAL(tangent, "Tangent");
+  SOCKET_OUT_NORMAL(true_normal, "True Normal");
+  SOCKET_OUT_VECTOR(incoming, "Incoming");
+  SOCKET_OUT_POINT(parametric, "Parametric");
+  SOCKET_OUT_FLOAT(backfacing, "Backfacing");
+  SOCKET_OUT_FLOAT(pointiness, "Pointiness");
+  SOCKET_OUT_FLOAT(random_per_island, "Random Per Island");
+
+  return type;
+}
+
+GeometryNode::GeometryNode() : ShaderNode(get_node_type())
+{
+  special_type = SHADER_SPECIAL_TYPE_GEOMETRY;
+}
+
+void GeometryNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link()) {
+    if (!output("Tangent")->links.empty()) {
+      attributes->add(ATTR_STD_GENERATED);
+    }
+    if (!output("Pointiness")->links.empty()) {
+      attributes->add(ATTR_STD_POINTINESS);
+    }
+    if (!output("Random Per Island")->links.empty()) {
+      attributes->add(ATTR_STD_RANDOM_PER_ISLAND);
+    }
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void GeometryNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *out;
+  ShaderNodeType geom_node = NODE_GEOMETRY;
+  ShaderNodeType attr_node = NODE_ATTR;
+
+  if (bump == SHADER_BUMP_DX) {
+    geom_node = NODE_GEOMETRY_BUMP_DX;
+    attr_node = NODE_ATTR_BUMP_DX;
+  }
+  else if (bump == SHADER_BUMP_DY) {
+    geom_node = NODE_GEOMETRY_BUMP_DY;
+    attr_node = NODE_ATTR_BUMP_DY;
+  }
+
+  out = output("Position");
+  if (!out->links.empty()) {
+    compiler.add_node(geom_node, NODE_GEOM_P, compiler.stack_assign(out));
+  }
+
+  out = output("Normal");
+  if (!out->links.empty()) {
+    compiler.add_node(geom_node, NODE_GEOM_N, compiler.stack_assign(out));
+  }
+
+  out = output("Tangent");
+  if (!out->links.empty()) {
+    compiler.add_node(geom_node, NODE_GEOM_T, compiler.stack_assign(out));
+  }
+
+  out = output("True Normal");
+  if (!out->links.empty()) {
+    compiler.add_node(geom_node, NODE_GEOM_Ng, compiler.stack_assign(out));
+  }
+
+  out = output("Incoming");
+  if (!out->links.empty()) {
+    compiler.add_node(geom_node, NODE_GEOM_I, compiler.stack_assign(out));
+  }
+
+  out = output("Parametric");
+  if (!out->links.empty()) {
+    compiler.add_node(geom_node, NODE_GEOM_uv, compiler.stack_assign(out));
+  }
+
+  out = output("Backfacing");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_backfacing, compiler.stack_assign(out));
+  }
+
+  out = output("Pointiness");
+  if (!out->links.empty()) {
+    if (compiler.output_type() != SHADER_TYPE_VOLUME) {
+      compiler.add_node(
+          attr_node, ATTR_STD_POINTINESS, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
+    }
+    else {
+      compiler.add_node(NODE_VALUE_F, __float_as_int(0.0f), compiler.stack_assign(out));
+    }
+  }
+
+  out = output("Random Per Island");
+  if (!out->links.empty()) {
+    if (compiler.output_type() != SHADER_TYPE_VOLUME) {
+      compiler.add_node(attr_node,
+                        ATTR_STD_RANDOM_PER_ISLAND,
+                        compiler.stack_assign(out),
+                        NODE_ATTR_OUTPUT_FLOAT);
+    }
+    else {
+      compiler.add_node(NODE_VALUE_F, __float_as_int(0.0f), compiler.stack_assign(out));
+    }
+  }
+}
+
+void GeometryNode::compile(OSLCompiler &compiler)
+{
+  if (bump == SHADER_BUMP_DX)
+    compiler.parameter("bump_offset", "dx");
+  else if (bump == SHADER_BUMP_DY)
+    compiler.parameter("bump_offset", "dy");
+  else
+    compiler.parameter("bump_offset", "center");
+
+  compiler.add(this, "node_geometry");
+}
+
+/* TextureCoordinate */
+
+NODE_DEFINE(TextureCoordinateNode)
+{
+  NodeType *type = NodeType::add("texture_coordinate", create, NodeType::SHADER);
+
+  SOCKET_BOOLEAN(from_dupli, "From Dupli", false);
+  SOCKET_BOOLEAN(use_transform, "Use Transform", false);
+  SOCKET_TRANSFORM(ob_tfm, "Object Transform", transform_identity());
+
+  SOCKET_IN_NORMAL(
+      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
+
+  SOCKET_OUT_POINT(generated, "Generated");
+  SOCKET_OUT_NORMAL(normal, "Normal");
+  SOCKET_OUT_POINT(UV, "UV");
+  SOCKET_OUT_POINT(object, "Object");
+  SOCKET_OUT_POINT(camera, "Camera");
+  SOCKET_OUT_POINT(window, "Window");
+  SOCKET_OUT_NORMAL(reflection, "Reflection");
+
+  return type;
+}
+
+TextureCoordinateNode::TextureCoordinateNode() : ShaderNode(get_node_type())
+{
+}
+
+void TextureCoordinateNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link()) {
+    if (!from_dupli) {
+      if (!output("Generated")->links.empty())
+        attributes->add(ATTR_STD_GENERATED);
+      if (!output("UV")->links.empty())
+        attributes->add(ATTR_STD_UV);
+    }
+  }
+
+  if (shader->has_volume) {
+    if (!from_dupli) {
+      if (!output("Generated")->links.empty()) {
+        attributes->add(ATTR_STD_GENERATED_TRANSFORM);
+      }
+    }
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void TextureCoordinateNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *out;
+  ShaderNodeType texco_node = NODE_TEX_COORD;
+  ShaderNodeType attr_node = NODE_ATTR;
+  ShaderNodeType geom_node = NODE_GEOMETRY;
+
+  if (bump == SHADER_BUMP_DX) {
+    texco_node = NODE_TEX_COORD_BUMP_DX;
+    attr_node = NODE_ATTR_BUMP_DX;
+    geom_node = NODE_GEOMETRY_BUMP_DX;
+  }
+  else if (bump == SHADER_BUMP_DY) {
+    texco_node = NODE_TEX_COORD_BUMP_DY;
+    attr_node = NODE_ATTR_BUMP_DY;
+    geom_node = NODE_GEOMETRY_BUMP_DY;
+  }
+
+  out = output("Generated");
+  if (!out->links.empty()) {
+    if (compiler.background) {
+      compiler.add_node(geom_node, NODE_GEOM_P, compiler.stack_assign(out));
+    }
+    else {
+      if (from_dupli) {
+        compiler.add_node(texco_node, NODE_TEXCO_DUPLI_GENERATED, compiler.stack_assign(out));
+      }
+      else if (compiler.output_type() == SHADER_TYPE_VOLUME) {
+        compiler.add_node(texco_node, NODE_TEXCO_VOLUME_GENERATED, compiler.stack_assign(out));
+      }
+      else {
+        int attr = compiler.attribute(ATTR_STD_GENERATED);
+        compiler.add_node(attr_node, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT3);
+      }
+    }
+  }
+
+  out = output("Normal");
+  if (!out->links.empty()) {
+    compiler.add_node(texco_node, NODE_TEXCO_NORMAL, compiler.stack_assign(out));
+  }
+
+  out = output("UV");
+  if (!out->links.empty()) {
+    if (from_dupli) {
+      compiler.add_node(texco_node, NODE_TEXCO_DUPLI_UV, compiler.stack_assign(out));
+    }
+    else {
+      int attr = compiler.attribute(ATTR_STD_UV);
+      compiler.add_node(attr_node, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT3);
+    }
+  }
+
+  out = output("Object");
+  if (!out->links.empty()) {
+    compiler.add_node(texco_node, NODE_TEXCO_OBJECT, compiler.stack_assign(out), use_transform);
+    if (use_transform) {
+      Transform ob_itfm = transform_inverse(ob_tfm);
+      compiler.add_node(ob_itfm.x);
+      compiler.add_node(ob_itfm.y);
+      compiler.add_node(ob_itfm.z);
+    }
+  }
+
+  out = output("Camera");
+  if (!out->links.empty()) {
+    compiler.add_node(texco_node, NODE_TEXCO_CAMERA, compiler.stack_assign(out));
+  }
+
+  out = output("Window");
+  if (!out->links.empty()) {
+    compiler.add_node(texco_node, NODE_TEXCO_WINDOW, compiler.stack_assign(out));
+  }
+
+  out = output("Reflection");
+  if (!out->links.empty()) {
+    if (compiler.background) {
+      compiler.add_node(geom_node, NODE_GEOM_I, compiler.stack_assign(out));
+    }
+    else {
+      compiler.add_node(texco_node, NODE_TEXCO_REFLECTION, compiler.stack_assign(out));
+    }
+  }
+}
+
+void TextureCoordinateNode::compile(OSLCompiler &compiler)
+{
+  if (bump == SHADER_BUMP_DX)
+    compiler.parameter("bump_offset", "dx");
+  else if (bump == SHADER_BUMP_DY)
+    compiler.parameter("bump_offset", "dy");
+  else
+    compiler.parameter("bump_offset", "center");
+
+  if (compiler.background)
+    compiler.parameter("is_background", true);
+  if (compiler.output_type() == SHADER_TYPE_VOLUME)
+    compiler.parameter("is_volume", true);
+  compiler.parameter(this, "use_transform");
+  Transform ob_itfm = transform_inverse(ob_tfm);
+  compiler.parameter("object_itfm", ob_itfm);
+
+  compiler.parameter(this, "from_dupli");
+
+  compiler.add(this, "node_texture_coordinate");
+}
+
+/* UV Map */
+
+NODE_DEFINE(UVMapNode)
+{
+  NodeType *type = NodeType::add("uvmap", create, NodeType::SHADER);
+
+  SOCKET_STRING(attribute, "attribute", ustring());
+  SOCKET_IN_BOOLEAN(from_dupli, "from dupli", false);
+
+  SOCKET_OUT_POINT(UV, "UV");
+
+  return type;
+}
+
+UVMapNode::UVMapNode() : ShaderNode(get_node_type())
+{
+}
+
+void UVMapNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface) {
+    if (!from_dupli) {
+      if (!output("UV")->links.empty()) {
+        if (attribute != "")
+          attributes->add(attribute);
+        else
+          attributes->add(ATTR_STD_UV);
+      }
+    }
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void UVMapNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *out = output("UV");
+  ShaderNodeType texco_node = NODE_TEX_COORD;
+  ShaderNodeType attr_node = NODE_ATTR;
+  int attr;
+
+  if (bump == SHADER_BUMP_DX) {
+    texco_node = NODE_TEX_COORD_BUMP_DX;
+    attr_node = NODE_ATTR_BUMP_DX;
+  }
+  else if (bump == SHADER_BUMP_DY) {
+    texco_node = NODE_TEX_COORD_BUMP_DY;
+    attr_node = NODE_ATTR_BUMP_DY;
+  }
+
+  if (!out->links.empty()) {
+    if (from_dupli) {
+      compiler.add_node(texco_node, NODE_TEXCO_DUPLI_UV, compiler.stack_assign(out));
+    }
+    else {
+      if (attribute != "")
+        attr = compiler.attribute(attribute);
+      else
+        attr = compiler.attribute(ATTR_STD_UV);
+
+      compiler.add_node(attr_node, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT3);
+    }
+  }
+}
+
+void UVMapNode::compile(OSLCompiler &compiler)
+{
+  if (bump == SHADER_BUMP_DX)
+    compiler.parameter("bump_offset", "dx");
+  else if (bump == SHADER_BUMP_DY)
+    compiler.parameter("bump_offset", "dy");
+  else
+    compiler.parameter("bump_offset", "center");
+
+  compiler.parameter(this, "from_dupli");
+  compiler.parameter(this, "attribute");
+  compiler.add(this, "node_uv_map");
+}
+
+/* Light Path */
+
+NODE_DEFINE(LightPathNode)
+{
+  NodeType *type = NodeType::add("light_path", create, NodeType::SHADER);
+
+  SOCKET_OUT_FLOAT(is_camera_ray, "Is Camera Ray");
+  SOCKET_OUT_FLOAT(is_shadow_ray, "Is Shadow Ray");
+  SOCKET_OUT_FLOAT(is_diffuse_ray, "Is Diffuse Ray");
+  SOCKET_OUT_FLOAT(is_glossy_ray, "Is Glossy Ray");
+  SOCKET_OUT_FLOAT(is_singular_ray, "Is Singular Ray");
+  SOCKET_OUT_FLOAT(is_reflection_ray, "Is Reflection Ray");
+  SOCKET_OUT_FLOAT(is_transmission_ray, "Is Transmission Ray");
+  SOCKET_OUT_FLOAT(is_volume_scatter_ray, "Is Volume Scatter Ray");
+  SOCKET_OUT_FLOAT(ray_length, "Ray Length");
+  SOCKET_OUT_FLOAT(ray_depth, "Ray Depth");
+  SOCKET_OUT_FLOAT(diffuse_depth, "Diffuse Depth");
+  SOCKET_OUT_FLOAT(glossy_depth, "Glossy Depth");
+  SOCKET_OUT_FLOAT(transparent_depth, "Transparent Depth");
+  SOCKET_OUT_FLOAT(transmission_depth, "Transmission Depth");
+
+  return type;
+}
+
+LightPathNode::LightPathNode() : ShaderNode(get_node_type())
+{
+}
+
+void LightPathNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *out;
+
+  out = output("Is Camera Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_camera, compiler.stack_assign(out));
+  }
+
+  out = output("Is Shadow Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_shadow, compiler.stack_assign(out));
+  }
+
+  out = output("Is Diffuse Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_diffuse, compiler.stack_assign(out));
+  }
+
+  out = output("Is Glossy Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_glossy, compiler.stack_assign(out));
+  }
+
+  out = output("Is Singular Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_singular, compiler.stack_assign(out));
+  }
+
+  out = output("Is Reflection Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_reflection, compiler.stack_assign(out));
+  }
+
+  out = output("Is Transmission Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_transmission, compiler.stack_assign(out));
+  }
+
+  out = output("Is Volume Scatter Ray");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_volume_scatter, compiler.stack_assign(out));
+  }
+
+  out = output("Ray Length");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_length, compiler.stack_assign(out));
+  }
+
+  out = output("Ray Depth");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_depth, compiler.stack_assign(out));
+  }
+
+  out = output("Diffuse Depth");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_diffuse, compiler.stack_assign(out));
+  }
+
+  out = output("Glossy Depth");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_glossy, compiler.stack_assign(out));
+  }
+
+  out = output("Transparent Depth");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_transparent, compiler.stack_assign(out));
+  }
+
+  out = output("Transmission Depth");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_PATH, NODE_LP_ray_transmission, compiler.stack_assign(out));
+  }
+}
+
+void LightPathNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_light_path");
+}
+
+/* Light Falloff */
+
+NODE_DEFINE(LightFalloffNode)
+{
+  NodeType *type = NodeType::add("light_falloff", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(strength, "Strength", 100.0f);
+  SOCKET_IN_FLOAT(smooth, "Smooth", 0.0f);
+
+  SOCKET_OUT_FLOAT(quadratic, "Quadratic");
+  SOCKET_OUT_FLOAT(linear, "Linear");
+  SOCKET_OUT_FLOAT(constant, "Constant");
+
+  return type;
+}
+
+LightFalloffNode::LightFalloffNode() : ShaderNode(get_node_type())
+{
+}
+
+void LightFalloffNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *strength_in = input("Strength");
+  ShaderInput *smooth_in = input("Smooth");
+
+  ShaderOutput *out = output("Quadratic");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_FALLOFF,
+                      NODE_LIGHT_FALLOFF_QUADRATIC,
+                      compiler.encode_uchar4(compiler.stack_assign(strength_in),
+                                             compiler.stack_assign(smooth_in),
+                                             compiler.stack_assign(out)));
+  }
+
+  out = output("Linear");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_FALLOFF,
+                      NODE_LIGHT_FALLOFF_LINEAR,
+                      compiler.encode_uchar4(compiler.stack_assign(strength_in),
+                                             compiler.stack_assign(smooth_in),
+                                             compiler.stack_assign(out)));
+  }
+
+  out = output("Constant");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_LIGHT_FALLOFF,
+                      NODE_LIGHT_FALLOFF_CONSTANT,
+                      compiler.encode_uchar4(compiler.stack_assign(strength_in),
+                                             compiler.stack_assign(smooth_in),
+                                             compiler.stack_assign(out)));
+  }
+}
+
+void LightFalloffNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_light_falloff");
+}
+
+/* Object Info */
+
+NODE_DEFINE(ObjectInfoNode)
+{
+  NodeType *type = NodeType::add("object_info", create, NodeType::SHADER);
+
+  SOCKET_OUT_VECTOR(location, "Location");
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(object_index, "Object Index");
+  SOCKET_OUT_FLOAT(material_index, "Material Index");
+  SOCKET_OUT_FLOAT(random, "Random");
+
+  return type;
+}
+
+ObjectInfoNode::ObjectInfoNode() : ShaderNode(get_node_type())
+{
+}
+
+void ObjectInfoNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *out = output("Location");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_LOCATION, compiler.stack_assign(out));
+  }
+
+  out = output("Color");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_COLOR, compiler.stack_assign(out));
+  }
+
+  out = output("Object Index");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_INDEX, compiler.stack_assign(out));
+  }
+
+  out = output("Material Index");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_MAT_INDEX, compiler.stack_assign(out));
+  }
+
+  out = output("Random");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_OBJECT_INFO, NODE_INFO_OB_RANDOM, compiler.stack_assign(out));
+  }
+}
+
+void ObjectInfoNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_object_info");
+}
+
+/* Particle Info */
+
+NODE_DEFINE(ParticleInfoNode)
+{
+  NodeType *type = NodeType::add("particle_info", create, NodeType::SHADER);
+
+  SOCKET_OUT_FLOAT(index, "Index");
+  SOCKET_OUT_FLOAT(random, "Random");
+  SOCKET_OUT_FLOAT(age, "Age");
+  SOCKET_OUT_FLOAT(lifetime, "Lifetime");
+  SOCKET_OUT_POINT(location, "Location");
+#if 0 /* not yet supported */
+  SOCKET_OUT_QUATERNION(rotation, "Rotation");
+#endif
+  SOCKET_OUT_FLOAT(size, "Size");
+  SOCKET_OUT_VECTOR(velocity, "Velocity");
+  SOCKET_OUT_VECTOR(angular_velocity, "Angular Velocity");
+
+  return type;
+}
+
+ParticleInfoNode::ParticleInfoNode() : ShaderNode(get_node_type())
+{
+}
+
+void ParticleInfoNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (!output("Index")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+  if (!output("Random")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+  if (!output("Age")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+  if (!output("Lifetime")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+  if (!output("Location")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+#if 0 /* not yet supported */
+  if (!output("Rotation")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+#endif
+  if (!output("Size")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+  if (!output("Velocity")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+  if (!output("Angular Velocity")->links.empty())
+    attributes->add(ATTR_STD_PARTICLE);
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void ParticleInfoNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *out;
+
+  out = output("Index");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_INDEX, compiler.stack_assign(out));
+  }
+
+  out = output("Random");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_RANDOM, compiler.stack_assign(out));
+  }
+
+  out = output("Age");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_AGE, compiler.stack_assign(out));
+  }
+
+  out = output("Lifetime");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_LIFETIME, compiler.stack_assign(out));
+  }
+
+  out = output("Location");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_LOCATION, compiler.stack_assign(out));
+  }
+
+  /* quaternion data is not yet supported by Cycles */
+#if 0
+  out = output("Rotation");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_ROTATION, compiler.stack_assign(out));
+  }
+#endif
+
+  out = output("Size");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_SIZE, compiler.stack_assign(out));
+  }
+
+  out = output("Velocity");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_PARTICLE_INFO, NODE_INFO_PAR_VELOCITY, compiler.stack_assign(out));
+  }
+
+  out = output("Angular Velocity");
+  if (!out->links.empty()) {
+    compiler.add_node(
+        NODE_PARTICLE_INFO, NODE_INFO_PAR_ANGULAR_VELOCITY, compiler.stack_assign(out));
+  }
+}
+
+void ParticleInfoNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_particle_info");
+}
+
+/* Hair Info */
+
+NODE_DEFINE(HairInfoNode)
+{
+  NodeType *type = NodeType::add("hair_info", create, NodeType::SHADER);
+
+  SOCKET_OUT_FLOAT(is_strand, "Is Strand");
+  SOCKET_OUT_FLOAT(intercept, "Intercept");
+  SOCKET_OUT_FLOAT(size, "Length");
+  SOCKET_OUT_FLOAT(thickness, "Thickness");
+  SOCKET_OUT_NORMAL(tangent_normal, "Tangent Normal");
+#if 0 /* Output for minimum hair width transparency - deactivated. */
+  SOCKET_OUT_FLOAT(fade, "Fade");
+#endif
+  SOCKET_OUT_FLOAT(index, "Random");
+
+  return type;
+}
+
+HairInfoNode::HairInfoNode() : ShaderNode(get_node_type())
+{
+}
+
+void HairInfoNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link()) {
+    ShaderOutput *intercept_out = output("Intercept");
+
+    if (!intercept_out->links.empty())
+      attributes->add(ATTR_STD_CURVE_INTERCEPT);
+
+    if (!output("Length")->links.empty())
+      attributes->add(ATTR_STD_CURVE_LENGTH);
+
+    if (!output("Random")->links.empty())
+      attributes->add(ATTR_STD_CURVE_RANDOM);
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void HairInfoNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *out;
+
+  out = output("Is Strand");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_IS_STRAND, compiler.stack_assign(out));
+  }
+
+  out = output("Intercept");
+  if (!out->links.empty()) {
+    int attr = compiler.attribute(ATTR_STD_CURVE_INTERCEPT);
+    compiler.add_node(NODE_ATTR, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
+  }
+
+  out = output("Length");
+  if (!out->links.empty()) {
+    int attr = compiler.attribute(ATTR_STD_CURVE_LENGTH);
+    compiler.add_node(NODE_ATTR, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
+  }
+
+  out = output("Thickness");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_THICKNESS, compiler.stack_assign(out));
+  }
+
+  out = output("Tangent Normal");
+  if (!out->links.empty()) {
+    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_TANGENT_NORMAL, compiler.stack_assign(out));
+  }
+#if 0
+  out = output("Fade");
+  if(!out->links.empty()) {
+    compiler.add_node(NODE_HAIR_INFO, NODE_INFO_CURVE_FADE, compiler.stack_assign(out));
+  }
+#endif
+  out = output("Random");
+  if (!out->links.empty()) {
+    int attr = compiler.attribute(ATTR_STD_CURVE_RANDOM);
+    compiler.add_node(NODE_ATTR, attr, compiler.stack_assign(out), NODE_ATTR_OUTPUT_FLOAT);
+  }
+}
+
+void HairInfoNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_hair_info");
+}
+
+/* Volume Info */
+
+NODE_DEFINE(VolumeInfoNode)
+{
+  NodeType *type = NodeType::add("volume_info", create, NodeType::SHADER);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(density, "Density");
+  SOCKET_OUT_FLOAT(flame, "Flame");
+  SOCKET_OUT_FLOAT(temperature, "Temperature");
+
+  return type;
+}
+
+VolumeInfoNode::VolumeInfoNode() : ShaderNode(get_node_type())
+{
+}
+
+/* The requested attributes are not updated after node expansion.
+ * So we explicitly request the required attributes.
+ */
+void VolumeInfoNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_volume) {
+    if (!output("Color")->links.empty()) {
+      attributes->add(ATTR_STD_VOLUME_COLOR);
+    }
+    if (!output("Density")->links.empty()) {
+      attributes->add(ATTR_STD_VOLUME_DENSITY);
+    }
+    if (!output("Flame")->links.empty()) {
+      attributes->add(ATTR_STD_VOLUME_FLAME);
+    }
+    if (!output("Temperature")->links.empty()) {
+      attributes->add(ATTR_STD_VOLUME_TEMPERATURE);
+    }
+    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
+  }
+  ShaderNode::attributes(shader, attributes);
+}
+
+void VolumeInfoNode::expand(ShaderGraph *graph)
+{
+  ShaderOutput *color_out = output("Color");
+  if (!color_out->links.empty()) {
+    AttributeNode *attr = graph->create_node<AttributeNode>();
+    attr->set_attribute(ustring("color"));
+    graph->add(attr);
+    graph->relink(color_out, attr->output("Color"));
+  }
+
+  ShaderOutput *density_out = output("Density");
+  if (!density_out->links.empty()) {
+    AttributeNode *attr = graph->create_node<AttributeNode>();
+    attr->set_attribute(ustring("density"));
+    graph->add(attr);
+    graph->relink(density_out, attr->output("Fac"));
+  }
+
+  ShaderOutput *flame_out = output("Flame");
+  if (!flame_out->links.empty()) {
+    AttributeNode *attr = graph->create_node<AttributeNode>();
+    attr->set_attribute(ustring("flame"));
+    graph->add(attr);
+    graph->relink(flame_out, attr->output("Fac"));
+  }
+
+  ShaderOutput *temperature_out = output("Temperature");
+  if (!temperature_out->links.empty()) {
+    AttributeNode *attr = graph->create_node<AttributeNode>();
+    attr->set_attribute(ustring("temperature"));
+    graph->add(attr);
+    graph->relink(temperature_out, attr->output("Fac"));
+  }
+}
+
+void VolumeInfoNode::compile(SVMCompiler &)
+{
+}
+
+void VolumeInfoNode::compile(OSLCompiler &)
+{
+}
+
+NODE_DEFINE(VertexColorNode)
+{
+  NodeType *type = NodeType::add("vertex_color", create, NodeType::SHADER);
+
+  SOCKET_STRING(layer_name, "Layer Name", ustring());
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(alpha, "Alpha");
+
+  return type;
+}
+
+VertexColorNode::VertexColorNode() : ShaderNode(get_node_type())
+{
+}
+
+void VertexColorNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (!(output("Color")->links.empty() && output("Alpha")->links.empty())) {
+    if (layer_name != "")
+      attributes->add_standard(layer_name);
+    else
+      attributes->add(ATTR_STD_VERTEX_COLOR);
+  }
+  ShaderNode::attributes(shader, attributes);
+}
+
+void VertexColorNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *alpha_out = output("Alpha");
+  int layer_id = 0;
+
+  if (layer_name != "") {
+    layer_id = compiler.attribute(layer_name);
+  }
+  else {
+    layer_id = compiler.attribute(ATTR_STD_VERTEX_COLOR);
+  }
+
+  ShaderNodeType node;
+
+  if (bump == SHADER_BUMP_DX)
+    node = NODE_VERTEX_COLOR_BUMP_DX;
+  else if (bump == SHADER_BUMP_DY)
+    node = NODE_VERTEX_COLOR_BUMP_DY;
+  else {
+    node = NODE_VERTEX_COLOR;
+  }
+
+  compiler.add_node(
+      node, layer_id, compiler.stack_assign(color_out), compiler.stack_assign(alpha_out));
+}
+
+void VertexColorNode::compile(OSLCompiler &compiler)
+{
+  if (bump == SHADER_BUMP_DX) {
+    compiler.parameter("bump_offset", "dx");
+  }
+  else if (bump == SHADER_BUMP_DY) {
+    compiler.parameter("bump_offset", "dy");
+  }
+  else {
+    compiler.parameter("bump_offset", "center");
+  }
+
+  if (layer_name.empty()) {
+    compiler.parameter("layer_name", ustring("geom:vertex_color"));
+  }
+  else {
+    if (Attribute::name_standard(layer_name.c_str()) != ATTR_STD_NONE) {
+      compiler.parameter("name", (string("geom:") + layer_name.c_str()).c_str());
+    }
+    else {
+      compiler.parameter("layer_name", layer_name.c_str());
+    }
+  }
+
+  compiler.add(this, "node_vertex_color");
+}
+
+/* Value */
+
+NODE_DEFINE(ValueNode)
+{
+  NodeType *type = NodeType::add("value", create, NodeType::SHADER);
+
+  SOCKET_FLOAT(value, "Value", 0.0f);
+  SOCKET_OUT_FLOAT(value, "Value");
+
+  return type;
+}
+
+ValueNode::ValueNode() : ShaderNode(get_node_type())
+{
+}
+
+void ValueNode::constant_fold(const ConstantFolder &folder)
+{
+  folder.make_constant(value);
+}
+
+void ValueNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *val_out = output("Value");
+
+  compiler.add_node(NODE_VALUE_F, __float_as_int(value), compiler.stack_assign(val_out));
+}
+
+void ValueNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter("value_value", value);
+  compiler.add(this, "node_value");
+}
+
+/* Color */
+
+NODE_DEFINE(ColorNode)
+{
+  NodeType *type = NodeType::add("color", create, NodeType::SHADER);
+
+  SOCKET_COLOR(value, "Value", zero_float3());
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+ColorNode::ColorNode() : ShaderNode(get_node_type())
+{
+}
+
+void ColorNode::constant_fold(const ConstantFolder &folder)
+{
+  folder.make_constant(value);
+}
+
+void ColorNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *color_out = output("Color");
+
+  if (!color_out->links.empty()) {
+    compiler.add_node(NODE_VALUE_V, compiler.stack_assign(color_out));
+    compiler.add_node(NODE_VALUE_V, value);
+  }
+}
+
+void ColorNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter_color("color_value", value);
+
+  compiler.add(this, "node_value");
+}
+
+/* Add Closure */
+
+NODE_DEFINE(AddClosureNode)
+{
+  NodeType *type = NodeType::add("add_closure", create, NodeType::SHADER);
+
+  SOCKET_IN_CLOSURE(closure1, "Closure1");
+  SOCKET_IN_CLOSURE(closure2, "Closure2");
+  SOCKET_OUT_CLOSURE(closure, "Closure");
+
+  return type;
+}
+
+AddClosureNode::AddClosureNode() : ShaderNode(get_node_type())
+{
+  special_type = SHADER_SPECIAL_TYPE_COMBINE_CLOSURE;
+}
+
+void AddClosureNode::compile(SVMCompiler & /*compiler*/)
+{
+  /* handled in the SVM compiler */
+}
+
+void AddClosureNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_add_closure");
+}
+
+void AddClosureNode::constant_fold(const ConstantFolder &folder)
+{
+  ShaderInput *closure1_in = input("Closure1");
+  ShaderInput *closure2_in = input("Closure2");
+
+  /* remove useless add closures nodes */
+  if (!closure1_in->link) {
+    folder.bypass_or_discard(closure2_in);
+  }
+  else if (!closure2_in->link) {
+    folder.bypass_or_discard(closure1_in);
+  }
+}
+
+/* Mix Closure */
+
+NODE_DEFINE(MixClosureNode)
+{
+  NodeType *type = NodeType::add("mix_closure", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(fac, "Fac", 0.5f);
+  SOCKET_IN_CLOSURE(closure1, "Closure1");
+  SOCKET_IN_CLOSURE(closure2, "Closure2");
+
+  SOCKET_OUT_CLOSURE(closure, "Closure");
+
+  return type;
+}
+
+MixClosureNode::MixClosureNode() : ShaderNode(get_node_type())
+{
+  special_type = SHADER_SPECIAL_TYPE_COMBINE_CLOSURE;
+}
+
+void MixClosureNode::compile(SVMCompiler & /*compiler*/)
+{
+  /* handled in the SVM compiler */
+}
+
+void MixClosureNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_mix_closure");
+}
+
+void MixClosureNode::constant_fold(const ConstantFolder &folder)
+{
+  ShaderInput *fac_in = input("Fac");
+  ShaderInput *closure1_in = input("Closure1");
+  ShaderInput *closure2_in = input("Closure2");
+
+  /* remove useless mix closures nodes */
+  if (closure1_in->link == closure2_in->link) {
+    folder.bypass_or_discard(closure1_in);
+  }
+  /* remove unused mix closure input when factor is 0.0 or 1.0
+   * check for closure links and make sure factor link is disconnected */
+  else if (!fac_in->link) {
+    /* factor 0.0 */
+    if (fac <= 0.0f) {
+      folder.bypass_or_discard(closure1_in);
+    }
+    /* factor 1.0 */
+    else if (fac >= 1.0f) {
+      folder.bypass_or_discard(closure2_in);
+    }
+  }
+}
+
+/* Mix Closure */
+
+NODE_DEFINE(MixClosureWeightNode)
+{
+  NodeType *type = NodeType::add("mix_closure_weight", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(weight, "Weight", 1.0f);
+  SOCKET_IN_FLOAT(fac, "Fac", 1.0f);
+
+  SOCKET_OUT_FLOAT(weight1, "Weight1");
+  SOCKET_OUT_FLOAT(weight2, "Weight2");
+
+  return type;
+}
+
+MixClosureWeightNode::MixClosureWeightNode() : ShaderNode(get_node_type())
+{
+}
+
+void MixClosureWeightNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *weight_in = input("Weight");
+  ShaderInput *fac_in = input("Fac");
+  ShaderOutput *weight1_out = output("Weight1");
+  ShaderOutput *weight2_out = output("Weight2");
+
+  compiler.add_node(NODE_MIX_CLOSURE,
+                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
+                                           compiler.stack_assign(weight_in),
+                                           compiler.stack_assign(weight1_out),
+                                           compiler.stack_assign(weight2_out)));
+}
+
+void MixClosureWeightNode::compile(OSLCompiler & /*compiler*/)
+{
+  assert(0);
+}
+
+/* Invert */
+
+NODE_DEFINE(InvertNode)
+{
+  NodeType *type = NodeType::add("invert", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(fac, "Fac", 1.0f);
+  SOCKET_IN_COLOR(color, "Color", zero_float3());
+
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+InvertNode::InvertNode() : ShaderNode(get_node_type())
+{
+}
+
+void InvertNode::constant_fold(const ConstantFolder &folder)
+{
+  ShaderInput *fac_in = input("Fac");
+  ShaderInput *color_in = input("Color");
+
+  if (!fac_in->link) {
+    /* evaluate fully constant node */
+    if (!color_in->link) {
+      folder.make_constant(interp(color, one_float3() - color, fac));
+    }
+    /* remove no-op node */
+    else if (fac == 0.0f) {
+      folder.bypass(color_in->link);
+    }
+  }
+}
+
+void InvertNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *fac_in = input("Fac");
+  ShaderInput *color_in = input("Color");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(NODE_INVERT,
+                    compiler.stack_assign(fac_in),
+                    compiler.stack_assign(color_in),
+                    compiler.stack_assign(color_out));
+}
+
+void InvertNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_invert");
+}
+
+/* Mix */
+
+NODE_DEFINE(MixNode)
+{
+  NodeType *type = NodeType::add("mix", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("mix", NODE_MIX_BLEND);
+  type_enum.insert("add", NODE_MIX_ADD);
+  type_enum.insert("multiply", NODE_MIX_MUL);
+  type_enum.insert("screen", NODE_MIX_SCREEN);
+  type_enum.insert("overlay", NODE_MIX_OVERLAY);
+  type_enum.insert("subtract", NODE_MIX_SUB);
+  type_enum.insert("divide", NODE_MIX_DIV);
+  type_enum.insert("difference", NODE_MIX_DIFF);
+  type_enum.insert("darken", NODE_MIX_DARK);
+  type_enum.insert("lighten", NODE_MIX_LIGHT);
+  type_enum.insert("dodge", NODE_MIX_DODGE);
+  type_enum.insert("burn", NODE_MIX_BURN);
+  type_enum.insert("hue", NODE_MIX_HUE);
+  type_enum.insert("saturation", NODE_MIX_SAT);
+  type_enum.insert("value", NODE_MIX_VAL);
+  type_enum.insert("color", NODE_MIX_COLOR);
+  type_enum.insert("soft_light", NODE_MIX_SOFT);
+  type_enum.insert("linear_light", NODE_MIX_LINEAR);
+  SOCKET_ENUM(mix_type, "Type", type_enum, NODE_MIX_BLEND);
+
+  SOCKET_BOOLEAN(use_clamp, "Use Clamp", false);
+
+  SOCKET_IN_FLOAT(fac, "Fac", 0.5f);
+  SOCKET_IN_COLOR(color1, "Color1", zero_float3());
+  SOCKET_IN_COLOR(color2, "Color2", zero_float3());
+
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+MixNode::MixNode() : ShaderNode(get_node_type())
+{
+}
+
+void MixNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *fac_in = input("Fac");
+  ShaderInput *color1_in = input("Color1");
+  ShaderInput *color2_in = input("Color2");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(NODE_MIX,
+                    compiler.stack_assign(fac_in),
+                    compiler.stack_assign(color1_in),
+                    compiler.stack_assign(color2_in));
+  compiler.add_node(NODE_MIX, mix_type, compiler.stack_assign(color_out));
+
+  if (use_clamp) {
+    compiler.add_node(NODE_MIX, 0, compiler.stack_assign(color_out));
+    compiler.add_node(NODE_MIX, NODE_MIX_CLAMP, compiler.stack_assign(color_out));
+  }
+}
+
+void MixNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "mix_type");
+  compiler.parameter(this, "use_clamp");
+  compiler.add(this, "node_mix");
+}
+
+void MixNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant_clamp(svm_mix(mix_type, fac, color1, color2), use_clamp);
+  }
+  else {
+    folder.fold_mix(mix_type, use_clamp);
+  }
+}
+
+/* Combine RGB */
+
+NODE_DEFINE(CombineRGBNode)
+{
+  NodeType *type = NodeType::add("combine_rgb", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(r, "R", 0.0f);
+  SOCKET_IN_FLOAT(g, "G", 0.0f);
+  SOCKET_IN_FLOAT(b, "B", 0.0f);
+
+  SOCKET_OUT_COLOR(image, "Image");
+
+  return type;
+}
+
+CombineRGBNode::CombineRGBNode() : ShaderNode(get_node_type())
+{
+}
+
+void CombineRGBNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant(make_float3(r, g, b));
+  }
+}
+
+void CombineRGBNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *red_in = input("R");
+  ShaderInput *green_in = input("G");
+  ShaderInput *blue_in = input("B");
+  ShaderOutput *color_out = output("Image");
+
+  compiler.add_node(
+      NODE_COMBINE_VECTOR, compiler.stack_assign(red_in), 0, compiler.stack_assign(color_out));
+
+  compiler.add_node(
+      NODE_COMBINE_VECTOR, compiler.stack_assign(green_in), 1, compiler.stack_assign(color_out));
+
+  compiler.add_node(
+      NODE_COMBINE_VECTOR, compiler.stack_assign(blue_in), 2, compiler.stack_assign(color_out));
+}
+
+void CombineRGBNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_combine_rgb");
+}
+
+/* Combine XYZ */
+
+NODE_DEFINE(CombineXYZNode)
+{
+  NodeType *type = NodeType::add("combine_xyz", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(x, "X", 0.0f);
+  SOCKET_IN_FLOAT(y, "Y", 0.0f);
+  SOCKET_IN_FLOAT(z, "Z", 0.0f);
+
+  SOCKET_OUT_VECTOR(vector, "Vector");
+
+  return type;
+}
+
+CombineXYZNode::CombineXYZNode() : ShaderNode(get_node_type())
+{
+}
+
+void CombineXYZNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant(make_float3(x, y, z));
+  }
+}
+
+void CombineXYZNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *x_in = input("X");
+  ShaderInput *y_in = input("Y");
+  ShaderInput *z_in = input("Z");
+  ShaderOutput *vector_out = output("Vector");
+
+  compiler.add_node(
+      NODE_COMBINE_VECTOR, compiler.stack_assign(x_in), 0, compiler.stack_assign(vector_out));
+
+  compiler.add_node(
+      NODE_COMBINE_VECTOR, compiler.stack_assign(y_in), 1, compiler.stack_assign(vector_out));
+
+  compiler.add_node(
+      NODE_COMBINE_VECTOR, compiler.stack_assign(z_in), 2, compiler.stack_assign(vector_out));
+}
+
+void CombineXYZNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_combine_xyz");
+}
+
+/* Combine HSV */
+
+NODE_DEFINE(CombineHSVNode)
+{
+  NodeType *type = NodeType::add("combine_hsv", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(h, "H", 0.0f);
+  SOCKET_IN_FLOAT(s, "S", 0.0f);
+  SOCKET_IN_FLOAT(v, "V", 0.0f);
+
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+CombineHSVNode::CombineHSVNode() : ShaderNode(get_node_type())
+{
+}
+
+void CombineHSVNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant(hsv_to_rgb(make_float3(h, s, v)));
+  }
+}
+
+void CombineHSVNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *hue_in = input("H");
+  ShaderInput *saturation_in = input("S");
+  ShaderInput *value_in = input("V");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(NODE_COMBINE_HSV,
+                    compiler.stack_assign(hue_in),
+                    compiler.stack_assign(saturation_in),
+                    compiler.stack_assign(value_in));
+  compiler.add_node(NODE_COMBINE_HSV, compiler.stack_assign(color_out));
+}
+
+void CombineHSVNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_combine_hsv");
+}
+
+/* Gamma */
+
+NODE_DEFINE(GammaNode)
+{
+  NodeType *type = NodeType::add("gamma", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", zero_float3());
+  SOCKET_IN_FLOAT(gamma, "Gamma", 1.0f);
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+GammaNode::GammaNode() : ShaderNode(get_node_type())
+{
+}
+
+void GammaNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant(svm_math_gamma_color(color, gamma));
+  }
+  else {
+    ShaderInput *color_in = input("Color");
+    ShaderInput *gamma_in = input("Gamma");
+
+    /* 1 ^ X == X ^ 0 == 1 */
+    if (folder.is_one(color_in) || folder.is_zero(gamma_in)) {
+      folder.make_one();
+    }
+    /* X ^ 1 == X */
+    else if (folder.is_one(gamma_in)) {
+      folder.try_bypass_or_make_constant(color_in, false);
+    }
+  }
+}
+
+void GammaNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *gamma_in = input("Gamma");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(NODE_GAMMA,
+                    compiler.stack_assign(gamma_in),
+                    compiler.stack_assign(color_in),
+                    compiler.stack_assign(color_out));
+}
+
+void GammaNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_gamma");
+}
+
+/* Bright Contrast */
+
+NODE_DEFINE(BrightContrastNode)
+{
+  NodeType *type = NodeType::add("brightness_contrast", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", zero_float3());
+  SOCKET_IN_FLOAT(bright, "Bright", 0.0f);
+  SOCKET_IN_FLOAT(contrast, "Contrast", 0.0f);
+
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+BrightContrastNode::BrightContrastNode() : ShaderNode(get_node_type())
+{
+}
+
+void BrightContrastNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant(svm_brightness_contrast(color, bright, contrast));
+  }
+}
+
+void BrightContrastNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *bright_in = input("Bright");
+  ShaderInput *contrast_in = input("Contrast");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(NODE_BRIGHTCONTRAST,
+                    compiler.stack_assign(color_in),
+                    compiler.stack_assign(color_out),
+                    compiler.encode_uchar4(compiler.stack_assign(bright_in),
+                                           compiler.stack_assign(contrast_in)));
+}
+
+void BrightContrastNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_brightness");
+}
+
+/* Separate RGB */
+
+NODE_DEFINE(SeparateRGBNode)
+{
+  NodeType *type = NodeType::add("separate_rgb", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Image", zero_float3());
+
+  SOCKET_OUT_FLOAT(r, "R");
+  SOCKET_OUT_FLOAT(g, "G");
+  SOCKET_OUT_FLOAT(b, "B");
+
+  return type;
+}
+
+SeparateRGBNode::SeparateRGBNode() : ShaderNode(get_node_type())
+{
+}
+
+void SeparateRGBNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    for (int channel = 0; channel < 3; channel++) {
+      if (outputs[channel] == folder.output) {
+        folder.make_constant(color[channel]);
+        return;
+      }
+    }
+  }
+}
+
+void SeparateRGBNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Image");
+  ShaderOutput *red_out = output("R");
+  ShaderOutput *green_out = output("G");
+  ShaderOutput *blue_out = output("B");
+
+  compiler.add_node(
+      NODE_SEPARATE_VECTOR, compiler.stack_assign(color_in), 0, compiler.stack_assign(red_out));
+
+  compiler.add_node(
+      NODE_SEPARATE_VECTOR, compiler.stack_assign(color_in), 1, compiler.stack_assign(green_out));
+
+  compiler.add_node(
+      NODE_SEPARATE_VECTOR, compiler.stack_assign(color_in), 2, compiler.stack_assign(blue_out));
+}
+
+void SeparateRGBNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_separate_rgb");
+}
+
+/* Separate XYZ */
+
+NODE_DEFINE(SeparateXYZNode)
+{
+  NodeType *type = NodeType::add("separate_xyz", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(vector, "Vector", zero_float3());
+
+  SOCKET_OUT_FLOAT(x, "X");
+  SOCKET_OUT_FLOAT(y, "Y");
+  SOCKET_OUT_FLOAT(z, "Z");
+
+  return type;
+}
+
+SeparateXYZNode::SeparateXYZNode() : ShaderNode(get_node_type())
+{
+}
+
+void SeparateXYZNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    for (int channel = 0; channel < 3; channel++) {
+      if (outputs[channel] == folder.output) {
+        folder.make_constant(vector[channel]);
+        return;
+      }
+    }
+  }
+}
+
+void SeparateXYZNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *x_out = output("X");
+  ShaderOutput *y_out = output("Y");
+  ShaderOutput *z_out = output("Z");
+
+  compiler.add_node(
+      NODE_SEPARATE_VECTOR, compiler.stack_assign(vector_in), 0, compiler.stack_assign(x_out));
+
+  compiler.add_node(
+      NODE_SEPARATE_VECTOR, compiler.stack_assign(vector_in), 1, compiler.stack_assign(y_out));
+
+  compiler.add_node(
+      NODE_SEPARATE_VECTOR, compiler.stack_assign(vector_in), 2, compiler.stack_assign(z_out));
+}
+
+void SeparateXYZNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_separate_xyz");
+}
+
+/* Separate HSV */
+
+NODE_DEFINE(SeparateHSVNode)
+{
+  NodeType *type = NodeType::add("separate_hsv", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", zero_float3());
+
+  SOCKET_OUT_FLOAT(h, "H");
+  SOCKET_OUT_FLOAT(s, "S");
+  SOCKET_OUT_FLOAT(v, "V");
+
+  return type;
+}
+
+SeparateHSVNode::SeparateHSVNode() : ShaderNode(get_node_type())
+{
+}
+
+void SeparateHSVNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    float3 hsv = rgb_to_hsv(color);
+
+    for (int channel = 0; channel < 3; channel++) {
+      if (outputs[channel] == folder.output) {
+        folder.make_constant(hsv[channel]);
+        return;
+      }
+    }
+  }
+}
+
+void SeparateHSVNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderOutput *hue_out = output("H");
+  ShaderOutput *saturation_out = output("S");
+  ShaderOutput *value_out = output("V");
+
+  compiler.add_node(NODE_SEPARATE_HSV,
+                    compiler.stack_assign(color_in),
+                    compiler.stack_assign(hue_out),
+                    compiler.stack_assign(saturation_out));
+  compiler.add_node(NODE_SEPARATE_HSV, compiler.stack_assign(value_out));
+}
+
+void SeparateHSVNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_separate_hsv");
+}
+
+/* Hue Saturation Value */
+
+NODE_DEFINE(HSVNode)
+{
+  NodeType *type = NodeType::add("hsv", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(hue, "Hue", 0.5f);
+  SOCKET_IN_FLOAT(saturation, "Saturation", 1.0f);
+  SOCKET_IN_FLOAT(value, "Value", 1.0f);
+  SOCKET_IN_FLOAT(fac, "Fac", 1.0f);
+  SOCKET_IN_COLOR(color, "Color", zero_float3());
+
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+HSVNode::HSVNode() : ShaderNode(get_node_type())
+{
+}
+
+void HSVNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *hue_in = input("Hue");
+  ShaderInput *saturation_in = input("Saturation");
+  ShaderInput *value_in = input("Value");
+  ShaderInput *fac_in = input("Fac");
+  ShaderInput *color_in = input("Color");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(NODE_HSV,
+                    compiler.encode_uchar4(compiler.stack_assign(color_in),
+                                           compiler.stack_assign(fac_in),
+                                           compiler.stack_assign(color_out)),
+                    compiler.encode_uchar4(compiler.stack_assign(hue_in),
+                                           compiler.stack_assign(saturation_in),
+                                           compiler.stack_assign(value_in)));
+}
+
+void HSVNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_hsv");
+}
+
+/* Attribute */
+
+NODE_DEFINE(AttributeNode)
+{
+  NodeType *type = NodeType::add("attribute", create, NodeType::SHADER);
+
+  SOCKET_STRING(attribute, "Attribute", ustring());
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_VECTOR(vector, "Vector");
+  SOCKET_OUT_FLOAT(fac, "Fac");
+  SOCKET_OUT_FLOAT(alpha, "Alpha");
+
+  return type;
+}
+
+AttributeNode::AttributeNode() : ShaderNode(get_node_type())
+{
+}
+
+void AttributeNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *vector_out = output("Vector");
+  ShaderOutput *fac_out = output("Fac");
+  ShaderOutput *alpha_out = output("Alpha");
+
+  if (!color_out->links.empty() || !vector_out->links.empty() || !fac_out->links.empty() ||
+      !alpha_out->links.empty()) {
+    attributes->add_standard(attribute);
+  }
+
+  if (shader->has_volume) {
+    attributes->add(ATTR_STD_GENERATED_TRANSFORM);
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void AttributeNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *vector_out = output("Vector");
+  ShaderOutput *fac_out = output("Fac");
+  ShaderOutput *alpha_out = output("Alpha");
+  ShaderNodeType attr_node = NODE_ATTR;
+  int attr = compiler.attribute_standard(attribute);
+
+  if (bump == SHADER_BUMP_DX)
+    attr_node = NODE_ATTR_BUMP_DX;
+  else if (bump == SHADER_BUMP_DY)
+    attr_node = NODE_ATTR_BUMP_DY;
+
+  if (!color_out->links.empty() || !vector_out->links.empty()) {
+    if (!color_out->links.empty()) {
+      compiler.add_node(
+          attr_node, attr, compiler.stack_assign(color_out), NODE_ATTR_OUTPUT_FLOAT3);
+    }
+    if (!vector_out->links.empty()) {
+      compiler.add_node(
+          attr_node, attr, compiler.stack_assign(vector_out), NODE_ATTR_OUTPUT_FLOAT3);
+    }
+  }
+
+  if (!fac_out->links.empty()) {
+    compiler.add_node(attr_node, attr, compiler.stack_assign(fac_out), NODE_ATTR_OUTPUT_FLOAT);
+  }
+
+  if (!alpha_out->links.empty()) {
+    compiler.add_node(
+        attr_node, attr, compiler.stack_assign(alpha_out), NODE_ATTR_OUTPUT_FLOAT_ALPHA);
+  }
+}
+
+void AttributeNode::compile(OSLCompiler &compiler)
+{
+  if (bump == SHADER_BUMP_DX)
+    compiler.parameter("bump_offset", "dx");
+  else if (bump == SHADER_BUMP_DY)
+    compiler.parameter("bump_offset", "dy");
+  else
+    compiler.parameter("bump_offset", "center");
+
+  if (Attribute::name_standard(attribute.c_str()) != ATTR_STD_NONE)
+    compiler.parameter("name", (string("geom:") + attribute.c_str()).c_str());
+  else
+    compiler.parameter("name", attribute.c_str());
+
+  compiler.add(this, "node_attribute");
+}
+
+/* Camera */
+
+NODE_DEFINE(CameraNode)
+{
+  NodeType *type = NodeType::add("camera_info", create, NodeType::SHADER);
+
+  SOCKET_OUT_VECTOR(view_vector, "View Vector");
+  SOCKET_OUT_FLOAT(view_z_depth, "View Z Depth");
+  SOCKET_OUT_FLOAT(view_distance, "View Distance");
+
+  return type;
+}
+
+CameraNode::CameraNode() : ShaderNode(get_node_type())
+{
+}
+
+void CameraNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *vector_out = output("View Vector");
+  ShaderOutput *z_depth_out = output("View Z Depth");
+  ShaderOutput *distance_out = output("View Distance");
+
+  compiler.add_node(NODE_CAMERA,
+                    compiler.stack_assign(vector_out),
+                    compiler.stack_assign(z_depth_out),
+                    compiler.stack_assign(distance_out));
+}
+
+void CameraNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_camera");
+}
+
+/* Fresnel */
+
+NODE_DEFINE(FresnelNode)
+{
+  NodeType *type = NodeType::add("fresnel", create, NodeType::SHADER);
+
+  SOCKET_IN_NORMAL(
+      normal, "Normal", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
+  SOCKET_IN_FLOAT(IOR, "IOR", 1.45f);
+
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+FresnelNode::FresnelNode() : ShaderNode(get_node_type())
+{
+}
+
+void FresnelNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *normal_in = input("Normal");
+  ShaderInput *IOR_in = input("IOR");
+  ShaderOutput *fac_out = output("Fac");
+
+  compiler.add_node(NODE_FRESNEL,
+                    compiler.stack_assign(IOR_in),
+                    __float_as_int(IOR),
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(normal_in),
+                                           compiler.stack_assign(fac_out)));
+}
+
+void FresnelNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_fresnel");
+}
+
+/* Layer Weight */
+
+NODE_DEFINE(LayerWeightNode)
+{
+  NodeType *type = NodeType::add("layer_weight", create, NodeType::SHADER);
+
+  SOCKET_IN_NORMAL(
+      normal, "Normal", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
+  SOCKET_IN_FLOAT(blend, "Blend", 0.5f);
+
+  SOCKET_OUT_FLOAT(fresnel, "Fresnel");
+  SOCKET_OUT_FLOAT(facing, "Facing");
+
+  return type;
+}
+
+LayerWeightNode::LayerWeightNode() : ShaderNode(get_node_type())
+{
+}
+
+void LayerWeightNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *normal_in = input("Normal");
+  ShaderInput *blend_in = input("Blend");
+  ShaderOutput *fresnel_out = output("Fresnel");
+  ShaderOutput *facing_out = output("Facing");
+
+  if (!fresnel_out->links.empty()) {
+    compiler.add_node(NODE_LAYER_WEIGHT,
+                      compiler.stack_assign_if_linked(blend_in),
+                      __float_as_int(blend),
+                      compiler.encode_uchar4(NODE_LAYER_WEIGHT_FRESNEL,
+                                             compiler.stack_assign_if_linked(normal_in),
+                                             compiler.stack_assign(fresnel_out)));
+  }
+
+  if (!facing_out->links.empty()) {
+    compiler.add_node(NODE_LAYER_WEIGHT,
+                      compiler.stack_assign_if_linked(blend_in),
+                      __float_as_int(blend),
+                      compiler.encode_uchar4(NODE_LAYER_WEIGHT_FACING,
+                                             compiler.stack_assign_if_linked(normal_in),
+                                             compiler.stack_assign(facing_out)));
+  }
+}
+
+void LayerWeightNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_layer_weight");
+}
+
+/* Wireframe */
+
+NODE_DEFINE(WireframeNode)
+{
+  NodeType *type = NodeType::add("wireframe", create, NodeType::SHADER);
+
+  SOCKET_BOOLEAN(use_pixel_size, "Use Pixel Size", false);
+  SOCKET_IN_FLOAT(size, "Size", 0.01f);
+  SOCKET_OUT_FLOAT(fac, "Fac");
+
+  return type;
+}
+
+WireframeNode::WireframeNode() : ShaderNode(get_node_type())
+{
+}
+
+void WireframeNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *size_in = input("Size");
+  ShaderOutput *fac_out = output("Fac");
+  NodeBumpOffset bump_offset = NODE_BUMP_OFFSET_CENTER;
+  if (bump == SHADER_BUMP_DX) {
+    bump_offset = NODE_BUMP_OFFSET_DX;
+  }
+  else if (bump == SHADER_BUMP_DY) {
+    bump_offset = NODE_BUMP_OFFSET_DY;
+  }
+  compiler.add_node(NODE_WIREFRAME,
+                    compiler.stack_assign(size_in),
+                    compiler.stack_assign(fac_out),
+                    compiler.encode_uchar4(use_pixel_size, bump_offset, 0, 0));
+}
+
+void WireframeNode::compile(OSLCompiler &compiler)
+{
+  if (bump == SHADER_BUMP_DX) {
+    compiler.parameter("bump_offset", "dx");
+  }
+  else if (bump == SHADER_BUMP_DY) {
+    compiler.parameter("bump_offset", "dy");
+  }
+  else {
+    compiler.parameter("bump_offset", "center");
+  }
+  compiler.parameter(this, "use_pixel_size");
+  compiler.add(this, "node_wireframe");
+}
+
+/* Wavelength */
+
+NODE_DEFINE(WavelengthNode)
+{
+  NodeType *type = NodeType::add("wavelength", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(wavelength, "Wavelength", 500.0f);
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+WavelengthNode::WavelengthNode() : ShaderNode(get_node_type())
+{
+}
+
+void WavelengthNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *wavelength_in = input("Wavelength");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(
+      NODE_WAVELENGTH, compiler.stack_assign(wavelength_in), compiler.stack_assign(color_out));
+}
+
+void WavelengthNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_wavelength");
+}
+
+/* Blackbody */
+
+NODE_DEFINE(BlackbodyNode)
+{
+  NodeType *type = NodeType::add("blackbody", create, NodeType::SHADER);
+
+  SOCKET_IN_FLOAT(temperature, "Temperature", 1200.0f);
+  SOCKET_OUT_COLOR(color, "Color");
+
+  return type;
+}
+
+BlackbodyNode::BlackbodyNode() : ShaderNode(get_node_type())
+{
+}
+
+void BlackbodyNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant(svm_math_blackbody_color(temperature));
+  }
+}
+
+void BlackbodyNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *temperature_in = input("Temperature");
+  ShaderOutput *color_out = output("Color");
+
+  compiler.add_node(
+      NODE_BLACKBODY, compiler.stack_assign(temperature_in), compiler.stack_assign(color_out));
+}
+
+void BlackbodyNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_blackbody");
+}
+
+/* Output */
+
+NODE_DEFINE(OutputNode)
+{
+  NodeType *type = NodeType::add("output", create, NodeType::SHADER);
+
+  SOCKET_IN_CLOSURE(surface, "Surface");
+  SOCKET_IN_CLOSURE(volume, "Volume");
+  SOCKET_IN_VECTOR(displacement, "Displacement", zero_float3());
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3());
+
+  return type;
+}
+
+OutputNode::OutputNode() : ShaderNode(get_node_type())
+{
+  special_type = SHADER_SPECIAL_TYPE_OUTPUT;
+}
+
+void OutputNode::compile(SVMCompiler &compiler)
+{
+  if (compiler.output_type() == SHADER_TYPE_DISPLACEMENT) {
+    ShaderInput *displacement_in = input("Displacement");
+
+    if (displacement_in->link) {
+      compiler.add_node(NODE_SET_DISPLACEMENT, compiler.stack_assign(displacement_in));
+    }
+  }
+}
+
+void OutputNode::compile(OSLCompiler &compiler)
+{
+  if (compiler.output_type() == SHADER_TYPE_SURFACE)
+    compiler.add(this, "node_output_surface");
+  else if (compiler.output_type() == SHADER_TYPE_VOLUME)
+    compiler.add(this, "node_output_volume");
+  else if (compiler.output_type() == SHADER_TYPE_DISPLACEMENT)
+    compiler.add(this, "node_output_displacement");
+}
+
+/* Map Range Node */
+
+NODE_DEFINE(MapRangeNode)
+{
+  NodeType *type = NodeType::add("map_range", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("linear", NODE_MAP_RANGE_LINEAR);
+  type_enum.insert("stepped", NODE_MAP_RANGE_STEPPED);
+  type_enum.insert("smoothstep", NODE_MAP_RANGE_SMOOTHSTEP);
+  type_enum.insert("smootherstep", NODE_MAP_RANGE_SMOOTHERSTEP);
+  SOCKET_ENUM(range_type, "Type", type_enum, NODE_MAP_RANGE_LINEAR);
+
+  SOCKET_IN_FLOAT(value, "Value", 1.0f);
+  SOCKET_IN_FLOAT(from_min, "From Min", 0.0f);
+  SOCKET_IN_FLOAT(from_max, "From Max", 1.0f);
+  SOCKET_IN_FLOAT(to_min, "To Min", 0.0f);
+  SOCKET_IN_FLOAT(to_max, "To Max", 1.0f);
+  SOCKET_IN_FLOAT(steps, "Steps", 4.0f);
+  SOCKET_IN_BOOLEAN(clamp, "Clamp", false);
+
+  SOCKET_OUT_FLOAT(result, "Result");
+
+  return type;
+}
+
+MapRangeNode::MapRangeNode() : ShaderNode(get_node_type())
+{
+}
+
+void MapRangeNode::expand(ShaderGraph *graph)
+{
+  if (clamp) {
+    ShaderOutput *result_out = output("Result");
+    if (!result_out->links.empty()) {
+      ClampNode *clamp_node = graph->create_node<ClampNode>();
+      clamp_node->set_clamp_type(NODE_CLAMP_RANGE);
+      graph->add(clamp_node);
+      graph->relink(result_out, clamp_node->output("Result"));
+      graph->connect(result_out, clamp_node->input("Value"));
+      if (input("To Min")->link) {
+        graph->connect(input("To Min")->link, clamp_node->input("Min"));
+      }
+      else {
+        clamp_node->set_min(to_min);
+      }
+      if (input("To Max")->link) {
+        graph->connect(input("To Max")->link, clamp_node->input("Max"));
+      }
+      else {
+        clamp_node->set_max(to_max);
+      }
+    }
+  }
+}
+
+void MapRangeNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *value_in = input("Value");
+  ShaderInput *from_min_in = input("From Min");
+  ShaderInput *from_max_in = input("From Max");
+  ShaderInput *to_min_in = input("To Min");
+  ShaderInput *to_max_in = input("To Max");
+  ShaderInput *steps_in = input("Steps");
+  ShaderOutput *result_out = output("Result");
+
+  int value_stack_offset = compiler.stack_assign(value_in);
+  int from_min_stack_offset = compiler.stack_assign_if_linked(from_min_in);
+  int from_max_stack_offset = compiler.stack_assign_if_linked(from_max_in);
+  int to_min_stack_offset = compiler.stack_assign_if_linked(to_min_in);
+  int to_max_stack_offset = compiler.stack_assign_if_linked(to_max_in);
+  int steps_stack_offset = compiler.stack_assign(steps_in);
+  int result_stack_offset = compiler.stack_assign(result_out);
+
+  compiler.add_node(
+      NODE_MAP_RANGE,
+      value_stack_offset,
+      compiler.encode_uchar4(
+          from_min_stack_offset, from_max_stack_offset, to_min_stack_offset, to_max_stack_offset),
+      compiler.encode_uchar4(range_type, steps_stack_offset, result_stack_offset));
+
+  compiler.add_node(__float_as_int(from_min),
+                    __float_as_int(from_max),
+                    __float_as_int(to_min),
+                    __float_as_int(to_max));
+  compiler.add_node(__float_as_int(steps));
+}
+
+void MapRangeNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "range_type");
+  compiler.add(this, "node_map_range");
+}
+
+/* Clamp Node */
+
+NODE_DEFINE(ClampNode)
+{
+  NodeType *type = NodeType::add("clamp", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("minmax", NODE_CLAMP_MINMAX);
+  type_enum.insert("range", NODE_CLAMP_RANGE);
+  SOCKET_ENUM(clamp_type, "Type", type_enum, NODE_CLAMP_MINMAX);
+
+  SOCKET_IN_FLOAT(value, "Value", 1.0f);
+  SOCKET_IN_FLOAT(min, "Min", 0.0f);
+  SOCKET_IN_FLOAT(max, "Max", 1.0f);
+
+  SOCKET_OUT_FLOAT(result, "Result");
+
+  return type;
+}
+
+ClampNode::ClampNode() : ShaderNode(get_node_type())
+{
+}
+
+void ClampNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    if (clamp_type == NODE_CLAMP_RANGE && (min > max)) {
+      folder.make_constant(clamp(value, max, min));
+    }
+    else {
+      folder.make_constant(clamp(value, min, max));
+    }
+  }
+}
+
+void ClampNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *value_in = input("Value");
+  ShaderInput *min_in = input("Min");
+  ShaderInput *max_in = input("Max");
+  ShaderOutput *result_out = output("Result");
+
+  int value_stack_offset = compiler.stack_assign(value_in);
+  int min_stack_offset = compiler.stack_assign(min_in);
+  int max_stack_offset = compiler.stack_assign(max_in);
+  int result_stack_offset = compiler.stack_assign(result_out);
+
+  compiler.add_node(NODE_CLAMP,
+                    value_stack_offset,
+                    compiler.encode_uchar4(min_stack_offset, max_stack_offset, clamp_type),
+                    result_stack_offset);
+  compiler.add_node(__float_as_int(min), __float_as_int(max));
+}
+
+void ClampNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "clamp_type");
+  compiler.add(this, "node_clamp");
+}
+
+/* AOV Output */
+
+NODE_DEFINE(OutputAOVNode)
+{
+  NodeType *type = NodeType::add("aov_output", create, NodeType::SHADER);
+
+  SOCKET_IN_COLOR(color, "Color", zero_float3());
+  SOCKET_IN_FLOAT(value, "Value", 0.0f);
+
+  SOCKET_STRING(name, "AOV Name", ustring(""));
+
+  return type;
+}
+
+OutputAOVNode::OutputAOVNode() : ShaderNode(get_node_type())
+{
+  special_type = SHADER_SPECIAL_TYPE_OUTPUT_AOV;
+  offset = -1;
+}
+
+void OutputAOVNode::simplify_settings(Scene *scene)
+{
+  offset = scene->film->get_aov_offset(scene, name.string(), is_color);
+  if (offset == -1) {
+    offset = scene->film->get_aov_offset(scene, name.string(), is_color);
+  }
+
+  if (offset == -1 || is_color) {
+    input("Value")->disconnect();
+  }
+  if (offset == -1 || !is_color) {
+    input("Color")->disconnect();
+  }
+}
+
+void OutputAOVNode::compile(SVMCompiler &compiler)
+{
+  assert(offset >= 0);
+
+  if (is_color) {
+    compiler.add_node(NODE_AOV_COLOR, compiler.stack_assign(input("Color")), offset);
+  }
+  else {
+    compiler.add_node(NODE_AOV_VALUE, compiler.stack_assign(input("Value")), offset);
+  }
+}
+
+void OutputAOVNode::compile(OSLCompiler & /*compiler*/)
+{
+  /* TODO */
+}
+
+/* Math */
+
+NODE_DEFINE(MathNode)
+{
+  NodeType *type = NodeType::add("math", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("add", NODE_MATH_ADD);
+  type_enum.insert("subtract", NODE_MATH_SUBTRACT);
+  type_enum.insert("multiply", NODE_MATH_MULTIPLY);
+  type_enum.insert("divide", NODE_MATH_DIVIDE);
+  type_enum.insert("multiply_add", NODE_MATH_MULTIPLY_ADD);
+  type_enum.insert("sine", NODE_MATH_SINE);
+  type_enum.insert("cosine", NODE_MATH_COSINE);
+  type_enum.insert("tangent", NODE_MATH_TANGENT);
+  type_enum.insert("sinh", NODE_MATH_SINH);
+  type_enum.insert("cosh", NODE_MATH_COSH);
+  type_enum.insert("tanh", NODE_MATH_TANH);
+  type_enum.insert("arcsine", NODE_MATH_ARCSINE);
+  type_enum.insert("arccosine", NODE_MATH_ARCCOSINE);
+  type_enum.insert("arctangent", NODE_MATH_ARCTANGENT);
+  type_enum.insert("power", NODE_MATH_POWER);
+  type_enum.insert("logarithm", NODE_MATH_LOGARITHM);
+  type_enum.insert("minimum", NODE_MATH_MINIMUM);
+  type_enum.insert("maximum", NODE_MATH_MAXIMUM);
+  type_enum.insert("round", NODE_MATH_ROUND);
+  type_enum.insert("less_than", NODE_MATH_LESS_THAN);
+  type_enum.insert("greater_than", NODE_MATH_GREATER_THAN);
+  type_enum.insert("modulo", NODE_MATH_MODULO);
+  type_enum.insert("absolute", NODE_MATH_ABSOLUTE);
+  type_enum.insert("arctan2", NODE_MATH_ARCTAN2);
+  type_enum.insert("floor", NODE_MATH_FLOOR);
+  type_enum.insert("ceil", NODE_MATH_CEIL);
+  type_enum.insert("fraction", NODE_MATH_FRACTION);
+  type_enum.insert("trunc", NODE_MATH_TRUNC);
+  type_enum.insert("snap", NODE_MATH_SNAP);
+  type_enum.insert("wrap", NODE_MATH_WRAP);
+  type_enum.insert("pingpong", NODE_MATH_PINGPONG);
+  type_enum.insert("sqrt", NODE_MATH_SQRT);
+  type_enum.insert("inversesqrt", NODE_MATH_INV_SQRT);
+  type_enum.insert("sign", NODE_MATH_SIGN);
+  type_enum.insert("exponent", NODE_MATH_EXPONENT);
+  type_enum.insert("radians", NODE_MATH_RADIANS);
+  type_enum.insert("degrees", NODE_MATH_DEGREES);
+  type_enum.insert("smoothmin", NODE_MATH_SMOOTH_MIN);
+  type_enum.insert("smoothmax", NODE_MATH_SMOOTH_MAX);
+  type_enum.insert("compare", NODE_MATH_COMPARE);
+  SOCKET_ENUM(math_type, "Type", type_enum, NODE_MATH_ADD);
+
+  SOCKET_BOOLEAN(use_clamp, "Use Clamp", false);
+
+  SOCKET_IN_FLOAT(value1, "Value1", 0.5f);
+  SOCKET_IN_FLOAT(value2, "Value2", 0.5f);
+  SOCKET_IN_FLOAT(value3, "Value3", 0.0f);
+
+  SOCKET_OUT_FLOAT(value, "Value");
+
+  return type;
+}
+
+MathNode::MathNode() : ShaderNode(get_node_type())
+{
+}
+
+void MathNode::expand(ShaderGraph *graph)
+{
+  if (use_clamp) {
+    ShaderOutput *result_out = output("Value");
+    if (!result_out->links.empty()) {
+      ClampNode *clamp_node = graph->create_node<ClampNode>();
+      clamp_node->set_clamp_type(NODE_CLAMP_MINMAX);
+      clamp_node->set_min(0.0f);
+      clamp_node->set_max(1.0f);
+      graph->add(clamp_node);
+      graph->relink(result_out, clamp_node->output("Result"));
+      graph->connect(result_out, clamp_node->input("Value"));
+    }
+  }
+}
+
+void MathNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    folder.make_constant(svm_math(math_type, value1, value2, value3));
+  }
+  else {
+    folder.fold_math(math_type);
+  }
+}
+
+void MathNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *value1_in = input("Value1");
+  ShaderInput *value2_in = input("Value2");
+  ShaderInput *value3_in = input("Value3");
+  ShaderOutput *value_out = output("Value");
+
+  int value1_stack_offset = compiler.stack_assign(value1_in);
+  int value2_stack_offset = compiler.stack_assign(value2_in);
+  int value3_stack_offset = compiler.stack_assign(value3_in);
+  int value_stack_offset = compiler.stack_assign(value_out);
+
+  compiler.add_node(
+      NODE_MATH,
+      math_type,
+      compiler.encode_uchar4(value1_stack_offset, value2_stack_offset, value3_stack_offset),
+      value_stack_offset);
+}
+
+void MathNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "math_type");
+  compiler.add(this, "node_math");
+}
+
+/* VectorMath */
+
+NODE_DEFINE(VectorMathNode)
+{
+  NodeType *type = NodeType::add("vector_math", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("add", NODE_VECTOR_MATH_ADD);
+  type_enum.insert("subtract", NODE_VECTOR_MATH_SUBTRACT);
+  type_enum.insert("multiply", NODE_VECTOR_MATH_MULTIPLY);
+  type_enum.insert("divide", NODE_VECTOR_MATH_DIVIDE);
+
+  type_enum.insert("cross_product", NODE_VECTOR_MATH_CROSS_PRODUCT);
+  type_enum.insert("project", NODE_VECTOR_MATH_PROJECT);
+  type_enum.insert("reflect", NODE_VECTOR_MATH_REFLECT);
+  type_enum.insert("refract", NODE_VECTOR_MATH_REFRACT);
+  type_enum.insert("faceforward", NODE_VECTOR_MATH_FACEFORWARD);
+  type_enum.insert("multiply_add", NODE_VECTOR_MATH_MULTIPLY_ADD);
+
+  type_enum.insert("dot_product", NODE_VECTOR_MATH_DOT_PRODUCT);
+
+  type_enum.insert("distance", NODE_VECTOR_MATH_DISTANCE);
+  type_enum.insert("length", NODE_VECTOR_MATH_LENGTH);
+  type_enum.insert("scale", NODE_VECTOR_MATH_SCALE);
+  type_enum.insert("normalize", NODE_VECTOR_MATH_NORMALIZE);
+
+  type_enum.insert("snap", NODE_VECTOR_MATH_SNAP);
+  type_enum.insert("floor", NODE_VECTOR_MATH_FLOOR);
+  type_enum.insert("ceil", NODE_VECTOR_MATH_CEIL);
+  type_enum.insert("modulo", NODE_VECTOR_MATH_MODULO);
+  type_enum.insert("wrap", NODE_VECTOR_MATH_WRAP);
+  type_enum.insert("fraction", NODE_VECTOR_MATH_FRACTION);
+  type_enum.insert("absolute", NODE_VECTOR_MATH_ABSOLUTE);
+  type_enum.insert("minimum", NODE_VECTOR_MATH_MINIMUM);
+  type_enum.insert("maximum", NODE_VECTOR_MATH_MAXIMUM);
+
+  type_enum.insert("sine", NODE_VECTOR_MATH_SINE);
+  type_enum.insert("cosine", NODE_VECTOR_MATH_COSINE);
+  type_enum.insert("tangent", NODE_VECTOR_MATH_TANGENT);
+  SOCKET_ENUM(math_type, "Type", type_enum, NODE_VECTOR_MATH_ADD);
+
+  SOCKET_IN_VECTOR(vector1, "Vector1", zero_float3());
+  SOCKET_IN_VECTOR(vector2, "Vector2", zero_float3());
+  SOCKET_IN_VECTOR(vector3, "Vector3", zero_float3());
+  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
+
+  SOCKET_OUT_FLOAT(value, "Value");
+  SOCKET_OUT_VECTOR(vector, "Vector");
+
+  return type;
+}
+
+VectorMathNode::VectorMathNode() : ShaderNode(get_node_type())
+{
+}
+
+void VectorMathNode::constant_fold(const ConstantFolder &folder)
+{
+  float value = 0.0f;
+  float3 vector = zero_float3();
+
+  if (folder.all_inputs_constant()) {
+    svm_vector_math(&value, &vector, math_type, vector1, vector2, vector3, scale);
+    if (folder.output == output("Value")) {
+      folder.make_constant(value);
+    }
+    else if (folder.output == output("Vector")) {
+      folder.make_constant(vector);
+    }
+  }
+  else {
+    folder.fold_vector_math(math_type);
+  }
+}
+
+void VectorMathNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector1_in = input("Vector1");
+  ShaderInput *vector2_in = input("Vector2");
+  ShaderInput *param1_in = input("Scale");
+  ShaderOutput *value_out = output("Value");
+  ShaderOutput *vector_out = output("Vector");
+
+  int vector1_stack_offset = compiler.stack_assign(vector1_in);
+  int vector2_stack_offset = compiler.stack_assign(vector2_in);
+  int param1_stack_offset = compiler.stack_assign(param1_in);
+  int value_stack_offset = compiler.stack_assign_if_linked(value_out);
+  int vector_stack_offset = compiler.stack_assign_if_linked(vector_out);
+
+  /* 3 Vector Operators */
+  if (math_type == NODE_VECTOR_MATH_WRAP || math_type == NODE_VECTOR_MATH_FACEFORWARD ||
+      math_type == NODE_VECTOR_MATH_MULTIPLY_ADD) {
+    ShaderInput *vector3_in = input("Vector3");
+    int vector3_stack_offset = compiler.stack_assign(vector3_in);
+    compiler.add_node(
+        NODE_VECTOR_MATH,
+        math_type,
+        compiler.encode_uchar4(vector1_stack_offset, vector2_stack_offset, param1_stack_offset),
+        compiler.encode_uchar4(value_stack_offset, vector_stack_offset));
+    compiler.add_node(vector3_stack_offset);
+  }
+  else {
+    compiler.add_node(
+        NODE_VECTOR_MATH,
+        math_type,
+        compiler.encode_uchar4(vector1_stack_offset, vector2_stack_offset, param1_stack_offset),
+        compiler.encode_uchar4(value_stack_offset, vector_stack_offset));
+  }
+}
+
+void VectorMathNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "math_type");
+  compiler.add(this, "node_vector_math");
+}
+
+/* Vector Rotate */
+
+NODE_DEFINE(VectorRotateNode)
+{
+  NodeType *type = NodeType::add("vector_rotate", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("axis", NODE_VECTOR_ROTATE_TYPE_AXIS);
+  type_enum.insert("x_axis", NODE_VECTOR_ROTATE_TYPE_AXIS_X);
+  type_enum.insert("y_axis", NODE_VECTOR_ROTATE_TYPE_AXIS_Y);
+  type_enum.insert("z_axis", NODE_VECTOR_ROTATE_TYPE_AXIS_Z);
+  type_enum.insert("euler_xyz", NODE_VECTOR_ROTATE_TYPE_EULER_XYZ);
+  SOCKET_ENUM(rotate_type, "Type", type_enum, NODE_VECTOR_ROTATE_TYPE_AXIS);
+
+  SOCKET_BOOLEAN(invert, "Invert", false);
+
+  SOCKET_IN_VECTOR(vector, "Vector", zero_float3());
+  SOCKET_IN_POINT(rotation, "Rotation", zero_float3());
+  SOCKET_IN_POINT(center, "Center", zero_float3());
+  SOCKET_IN_VECTOR(axis, "Axis", make_float3(0.0f, 0.0f, 1.0f));
+  SOCKET_IN_FLOAT(angle, "Angle", 0.0f);
+  SOCKET_OUT_VECTOR(vector, "Vector");
+
+  return type;
+}
+
+VectorRotateNode::VectorRotateNode() : ShaderNode(get_node_type())
+{
+}
+
+void VectorRotateNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *rotation_in = input("Rotation");
+  ShaderInput *center_in = input("Center");
+  ShaderInput *axis_in = input("Axis");
+  ShaderInput *angle_in = input("Angle");
+  ShaderOutput *vector_out = output("Vector");
+
+  compiler.add_node(NODE_VECTOR_ROTATE,
+                    compiler.encode_uchar4(rotate_type,
+                                           compiler.stack_assign(vector_in),
+                                           compiler.stack_assign(rotation_in),
+                                           invert),
+                    compiler.encode_uchar4(compiler.stack_assign(center_in),
+                                           compiler.stack_assign(axis_in),
+                                           compiler.stack_assign(angle_in)),
+                    compiler.stack_assign(vector_out));
+}
+
+void VectorRotateNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "rotate_type");
+  compiler.parameter(this, "invert");
+  compiler.add(this, "node_vector_rotate");
+}
+
+/* VectorTransform */
+
+NODE_DEFINE(VectorTransformNode)
+{
+  NodeType *type = NodeType::add("vector_transform", create, NodeType::SHADER);
+
+  static NodeEnum type_enum;
+  type_enum.insert("vector", NODE_VECTOR_TRANSFORM_TYPE_VECTOR);
+  type_enum.insert("point", NODE_VECTOR_TRANSFORM_TYPE_POINT);
+  type_enum.insert("normal", NODE_VECTOR_TRANSFORM_TYPE_NORMAL);
+  SOCKET_ENUM(transform_type, "Type", type_enum, NODE_VECTOR_TRANSFORM_TYPE_VECTOR);
+
+  static NodeEnum space_enum;
+  space_enum.insert("world", NODE_VECTOR_TRANSFORM_CONVERT_SPACE_WORLD);
+  space_enum.insert("object", NODE_VECTOR_TRANSFORM_CONVERT_SPACE_OBJECT);
+  space_enum.insert("camera", NODE_VECTOR_TRANSFORM_CONVERT_SPACE_CAMERA);
+  SOCKET_ENUM(convert_from, "Convert From", space_enum, NODE_VECTOR_TRANSFORM_CONVERT_SPACE_WORLD);
+  SOCKET_ENUM(convert_to, "Convert To", space_enum, NODE_VECTOR_TRANSFORM_CONVERT_SPACE_OBJECT);
+
+  SOCKET_IN_VECTOR(vector, "Vector", zero_float3());
+  SOCKET_OUT_VECTOR(vector, "Vector");
+
+  return type;
+}
+
+VectorTransformNode::VectorTransformNode() : ShaderNode(get_node_type())
+{
+}
+
+void VectorTransformNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderOutput *vector_out = output("Vector");
+
+  compiler.add_node(
+      NODE_VECTOR_TRANSFORM,
+      compiler.encode_uchar4(transform_type, convert_from, convert_to),
+      compiler.encode_uchar4(compiler.stack_assign(vector_in), compiler.stack_assign(vector_out)));
+}
+
+void VectorTransformNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "transform_type");
+  compiler.parameter(this, "convert_from");
+  compiler.parameter(this, "convert_to");
+  compiler.add(this, "node_vector_transform");
+}
+
+/* BumpNode */
+
+NODE_DEFINE(BumpNode)
+{
+  NodeType *type = NodeType::add("bump", create, NodeType::SHADER);
+
+  SOCKET_BOOLEAN(invert, "Invert", false);
+  SOCKET_BOOLEAN(use_object_space, "UseObjectSpace", false);
+
+  /* this input is used by the user, but after graph transform it is no longer
+   * used and moved to sampler center/x/y instead */
+  SOCKET_IN_FLOAT(height, "Height", 1.0f);
+
+  SOCKET_IN_FLOAT(sample_center, "SampleCenter", 0.0f);
+  SOCKET_IN_FLOAT(sample_x, "SampleX", 0.0f);
+  SOCKET_IN_FLOAT(sample_y, "SampleY", 0.0f);
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
+  SOCKET_IN_FLOAT(distance, "Distance", 0.1f);
+
+  SOCKET_OUT_NORMAL(normal, "Normal");
+
+  return type;
+}
+
+BumpNode::BumpNode() : ShaderNode(get_node_type())
+{
+  special_type = SHADER_SPECIAL_TYPE_BUMP;
+}
+
+void BumpNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *center_in = input("SampleCenter");
+  ShaderInput *dx_in = input("SampleX");
+  ShaderInput *dy_in = input("SampleY");
+  ShaderInput *normal_in = input("Normal");
+  ShaderInput *strength_in = input("Strength");
+  ShaderInput *distance_in = input("Distance");
+  ShaderOutput *normal_out = output("Normal");
+
+  /* pack all parameters in the node */
+  compiler.add_node(NODE_SET_BUMP,
+                    compiler.encode_uchar4(compiler.stack_assign_if_linked(normal_in),
+                                           compiler.stack_assign(distance_in),
+                                           invert,
+                                           use_object_space),
+                    compiler.encode_uchar4(compiler.stack_assign(center_in),
+                                           compiler.stack_assign(dx_in),
+                                           compiler.stack_assign(dy_in),
+                                           compiler.stack_assign(strength_in)),
+                    compiler.stack_assign(normal_out));
+}
+
+void BumpNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "invert");
+  compiler.parameter(this, "use_object_space");
+  compiler.add(this, "node_bump");
+}
+
+void BumpNode::constant_fold(const ConstantFolder &folder)
+{
+  ShaderInput *height_in = input("Height");
+  ShaderInput *normal_in = input("Normal");
+
+  if (height_in->link == NULL) {
+    if (normal_in->link == NULL) {
+      GeometryNode *geom = folder.graph->create_node<GeometryNode>();
+      folder.graph->add(geom);
+      folder.bypass(geom->output("Normal"));
+    }
+    else {
+      folder.bypass(normal_in->link);
+    }
+  }
+
+  /* TODO(sergey): Ignore bump with zero strength. */
+}
+
+/* Curves node */
+
+CurvesNode::CurvesNode(const NodeType *node_type) : ShaderNode(node_type)
+{
+}
+
+void CurvesNode::constant_fold(const ConstantFolder &folder, ShaderInput *value_in)
+{
+  ShaderInput *fac_in = input("Fac");
+
+  /* evaluate fully constant node */
+  if (folder.all_inputs_constant()) {
+    if (curves.size() == 0) {
+      return;
+    }
+
+    float3 pos = (value - make_float3(min_x, min_x, min_x)) / (max_x - min_x);
+    float3 result;
+
+    result[0] = rgb_ramp_lookup(curves.data(), pos[0], true, true, curves.size()).x;
+    result[1] = rgb_ramp_lookup(curves.data(), pos[1], true, true, curves.size()).y;
+    result[2] = rgb_ramp_lookup(curves.data(), pos[2], true, true, curves.size()).z;
+
+    folder.make_constant(interp(value, result, fac));
+  }
+  /* remove no-op node */
+  else if (!fac_in->link && fac == 0.0f) {
+    /* link is not null because otherwise all inputs are constant */
+    folder.bypass(value_in->link);
+  }
+}
+
+void CurvesNode::compile(SVMCompiler &compiler,
+                         int type,
+                         ShaderInput *value_in,
+                         ShaderOutput *value_out)
+{
+  if (curves.size() == 0)
+    return;
+
+  ShaderInput *fac_in = input("Fac");
+
+  compiler.add_node(type,
+                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
+                                           compiler.stack_assign(value_in),
+                                           compiler.stack_assign(value_out)),
+                    __float_as_int(min_x),
+                    __float_as_int(max_x));
+
+  compiler.add_node(curves.size());
+  for (int i = 0; i < curves.size(); i++)
+    compiler.add_node(float3_to_float4(curves[i]));
+}
+
+void CurvesNode::compile(OSLCompiler &compiler, const char *name)
+{
+  if (curves.size() == 0)
+    return;
+
+  compiler.parameter_color_array("ramp", curves);
+  compiler.parameter(this, "min_x");
+  compiler.parameter(this, "max_x");
+  compiler.add(this, name);
+}
+
+void CurvesNode::compile(SVMCompiler & /*compiler*/)
+{
+  assert(0);
+}
+
+void CurvesNode::compile(OSLCompiler & /*compiler*/)
+{
+  assert(0);
+}
+
+/* RGBCurvesNode */
+
+NODE_DEFINE(RGBCurvesNode)
+{
+  NodeType *type = NodeType::add("rgb_curves", create, NodeType::SHADER);
+
+  SOCKET_COLOR_ARRAY(curves, "Curves", array<float3>());
+  SOCKET_FLOAT(min_x, "Min X", 0.0f);
+  SOCKET_FLOAT(max_x, "Max X", 1.0f);
+
+  SOCKET_IN_FLOAT(fac, "Fac", 0.0f);
+  SOCKET_IN_COLOR(value, "Color", zero_float3());
+
+  SOCKET_OUT_COLOR(value, "Color");
+
+  return type;
+}
+
+RGBCurvesNode::RGBCurvesNode() : CurvesNode(get_node_type())
+{
+}
+
+void RGBCurvesNode::constant_fold(const ConstantFolder &folder)
+{
+  CurvesNode::constant_fold(folder, input("Color"));
+}
+
+void RGBCurvesNode::compile(SVMCompiler &compiler)
+{
+  CurvesNode::compile(compiler, NODE_RGB_CURVES, input("Color"), output("Color"));
+}
+
+void RGBCurvesNode::compile(OSLCompiler &compiler)
+{
+  CurvesNode::compile(compiler, "node_rgb_curves");
+}
+
+/* VectorCurvesNode */
+
+NODE_DEFINE(VectorCurvesNode)
+{
+  NodeType *type = NodeType::add("vector_curves", create, NodeType::SHADER);
+
+  SOCKET_VECTOR_ARRAY(curves, "Curves", array<float3>());
+  SOCKET_FLOAT(min_x, "Min X", 0.0f);
+  SOCKET_FLOAT(max_x, "Max X", 1.0f);
+
+  SOCKET_IN_FLOAT(fac, "Fac", 0.0f);
+  SOCKET_IN_VECTOR(value, "Vector", zero_float3());
+
+  SOCKET_OUT_VECTOR(value, "Vector");
+
+  return type;
+}
+
+VectorCurvesNode::VectorCurvesNode() : CurvesNode(get_node_type())
+{
+}
+
+void VectorCurvesNode::constant_fold(const ConstantFolder &folder)
+{
+  CurvesNode::constant_fold(folder, input("Vector"));
+}
+
+void VectorCurvesNode::compile(SVMCompiler &compiler)
+{
+  CurvesNode::compile(compiler, NODE_VECTOR_CURVES, input("Vector"), output("Vector"));
+}
+
+void VectorCurvesNode::compile(OSLCompiler &compiler)
+{
+  CurvesNode::compile(compiler, "node_vector_curves");
+}
+
+/* FloatCurveNode */
+
+NODE_DEFINE(FloatCurveNode)
+{
+  NodeType *type = NodeType::add("float_curve", create, NodeType::SHADER);
+
+  SOCKET_FLOAT_ARRAY(curve, "Curve", array<float>());
+  SOCKET_FLOAT(min_x, "Min X", 0.0f);
+  SOCKET_FLOAT(max_x, "Max X", 1.0f);
+
+  SOCKET_IN_FLOAT(fac, "Factor", 0.0f);
+  SOCKET_IN_FLOAT(value, "Value", 0.0f);
+
+  SOCKET_OUT_FLOAT(value, "Value");
+
+  return type;
+}
+
+FloatCurveNode::FloatCurveNode() : ShaderNode(get_node_type())
+{
+}
+
+void FloatCurveNode::constant_fold(const ConstantFolder &folder)
+{
+  ShaderInput *value_in = input("Value");
+  ShaderInput *fac_in = input("Factor");
+
+  /* evaluate fully constant node */
+  if (folder.all_inputs_constant()) {
+    if (curve.size() == 0) {
+      return;
+    }
+
+    float pos = (value - min_x) / (max_x - min_x);
+    float result = float_ramp_lookup(curve.data(), pos, true, true, curve.size());
+
+    folder.make_constant(value + fac * (result - value));
+  }
+  /* remove no-op node */
+  else if (!fac_in->link && fac == 0.0f) {
+    /* link is not null because otherwise all inputs are constant */
+    folder.bypass(value_in->link);
+  }
+}
+
+void FloatCurveNode::compile(SVMCompiler &compiler)
+{
+  if (curve.size() == 0)
+    return;
+
+  ShaderInput *value_in = input("Value");
+  ShaderInput *fac_in = input("Factor");
+  ShaderOutput *value_out = output("Value");
+
+  compiler.add_node(NODE_FLOAT_CURVE,
+                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
+                                           compiler.stack_assign(value_in),
+                                           compiler.stack_assign(value_out)),
+                    __float_as_int(min_x),
+                    __float_as_int(max_x));
+
+  compiler.add_node(curve.size());
+  for (int i = 0; i < curve.size(); i++)
+    compiler.add_node(make_float4(curve[i]));
+}
+
+void FloatCurveNode::compile(OSLCompiler &compiler)
+{
+  if (curve.size() == 0)
+    return;
+
+  compiler.parameter_array("ramp", curve.data(), curve.size());
+  compiler.parameter(this, "min_x");
+  compiler.parameter(this, "max_x");
+  compiler.add(this, "node_float_curve");
+}
+
+/* RGBRampNode */
+
+NODE_DEFINE(RGBRampNode)
+{
+  NodeType *type = NodeType::add("rgb_ramp", create, NodeType::SHADER);
+
+  SOCKET_COLOR_ARRAY(ramp, "Ramp", array<float3>());
+  SOCKET_FLOAT_ARRAY(ramp_alpha, "Ramp Alpha", array<float>());
+  SOCKET_BOOLEAN(interpolate, "Interpolate", true);
+
+  SOCKET_IN_FLOAT(fac, "Fac", 0.0f);
+
+  SOCKET_OUT_COLOR(color, "Color");
+  SOCKET_OUT_FLOAT(alpha, "Alpha");
+
+  return type;
+}
+
+RGBRampNode::RGBRampNode() : ShaderNode(get_node_type())
+{
+}
+
+void RGBRampNode::constant_fold(const ConstantFolder &folder)
+{
+  if (ramp.size() == 0 || ramp.size() != ramp_alpha.size())
+    return;
+
+  if (folder.all_inputs_constant()) {
+    float f = clamp(fac, 0.0f, 1.0f) * (ramp.size() - 1);
+
+    /* clamp int as well in case of NaN */
+    int i = clamp((int)f, 0, ramp.size() - 1);
+    float t = f - (float)i;
+
+    bool use_lerp = interpolate && t > 0.0f;
+
+    if (folder.output == output("Color")) {
+      float3 color = rgb_ramp_lookup(ramp.data(), fac, use_lerp, false, ramp.size());
+      folder.make_constant(color);
+    }
+    else if (folder.output == output("Alpha")) {
+      float alpha = float_ramp_lookup(ramp_alpha.data(), fac, use_lerp, false, ramp_alpha.size());
+      folder.make_constant(alpha);
+    }
+  }
+}
+
+void RGBRampNode::compile(SVMCompiler &compiler)
+{
+  if (ramp.size() == 0 || ramp.size() != ramp_alpha.size())
+    return;
+
+  ShaderInput *fac_in = input("Fac");
+  ShaderOutput *color_out = output("Color");
+  ShaderOutput *alpha_out = output("Alpha");
+
+  compiler.add_node(NODE_RGB_RAMP,
+                    compiler.encode_uchar4(compiler.stack_assign(fac_in),
+                                           compiler.stack_assign_if_linked(color_out),
+                                           compiler.stack_assign_if_linked(alpha_out)),
+                    interpolate);
+
+  compiler.add_node(ramp.size());
+  for (int i = 0; i < ramp.size(); i++)
+    compiler.add_node(make_float4(ramp[i].x, ramp[i].y, ramp[i].z, ramp_alpha[i]));
+}
+
+void RGBRampNode::compile(OSLCompiler &compiler)
+{
+  if (ramp.size() == 0 || ramp.size() != ramp_alpha.size())
+    return;
+
+  compiler.parameter_color_array("ramp_color", ramp);
+  compiler.parameter_array("ramp_alpha", ramp_alpha.data(), ramp_alpha.size());
+  compiler.parameter(this, "interpolate");
+
+  compiler.add(this, "node_rgb_ramp");
+}
+
+/* Set Normal Node */
+
+NODE_DEFINE(SetNormalNode)
+{
+  NodeType *type = NodeType::add("set_normal", create, NodeType::SHADER);
+
+  SOCKET_IN_VECTOR(direction, "Direction", zero_float3());
+  SOCKET_OUT_NORMAL(normal, "Normal");
+
+  return type;
+}
+
+SetNormalNode::SetNormalNode() : ShaderNode(get_node_type())
+{
+}
+
+void SetNormalNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *direction_in = input("Direction");
+  ShaderOutput *normal_out = output("Normal");
+
+  compiler.add_node(NODE_CLOSURE_SET_NORMAL,
+                    compiler.stack_assign(direction_in),
+                    compiler.stack_assign(normal_out));
+}
+
+void SetNormalNode::compile(OSLCompiler &compiler)
+{
+  compiler.add(this, "node_set_normal");
+}
+
+/* OSLNode */
+
+OSLNode::OSLNode() : ShaderNode(new NodeType(NodeType::SHADER))
+{
+  special_type = SHADER_SPECIAL_TYPE_OSL;
+}
+
+OSLNode::~OSLNode()
+{
+  delete type;
+}
+
+ShaderNode *OSLNode::clone(ShaderGraph *graph) const
+{
+  return OSLNode::create(graph, this->inputs.size(), this);
+}
+
+OSLNode *OSLNode::create(ShaderGraph *graph, size_t num_inputs, const OSLNode *from)
+{
+  /* allocate space for the node itself and parameters, aligned to 16 bytes
+   * assuming that's the most parameter types need */
+  size_t node_size = align_up(sizeof(OSLNode), 16);
+  size_t inputs_size = align_up(SocketType::max_size(), 16) * num_inputs;
+
+  char *node_memory = (char *)operator new(node_size + inputs_size);
+  memset(node_memory, 0, node_size + inputs_size);
+
+  if (!from) {
+    OSLNode *node = new (node_memory) OSLNode();
+    node->set_owner(graph);
+    return node;
+  }
+  else {
+    /* copy input default values and node type for cloning */
+    memcpy(node_memory + node_size, (char *)from + node_size, inputs_size);
+
+    OSLNode *node = new (node_memory) OSLNode(*from);
+    node->type = new NodeType(*(from->type));
+    node->set_owner(from->owner);
+    return node;
+  }
+}
+
+char *OSLNode::input_default_value()
+{
+  /* pointer to default value storage, which is the same as our actual value */
+  size_t num_inputs = type->inputs.size();
+  size_t inputs_size = align_up(SocketType::max_size(), 16) * num_inputs;
+  return (char *)this + align_up(sizeof(OSLNode), 16) + inputs_size;
+}
+
+void OSLNode::add_input(ustring name, SocketType::Type socket_type)
+{
+  char *memory = input_default_value();
+  size_t offset = memory - (char *)this;
+  const_cast<NodeType *>(type)->register_input(
+      name, name, socket_type, offset, memory, NULL, NULL, SocketType::LINKABLE);
+}
+
+void OSLNode::add_output(ustring name, SocketType::Type socket_type)
+{
+  const_cast<NodeType *>(type)->register_output(name, name, socket_type);
+}
+
+void OSLNode::compile(SVMCompiler &)
+{
+  /* doesn't work for SVM, obviously ... */
+}
+
+void OSLNode::compile(OSLCompiler &compiler)
+{
+  if (!filepath.empty())
+    compiler.add(this, filepath.c_str(), true);
+  else
+    compiler.add(this, bytecode_hash.c_str(), false);
+}
+
+/* Normal Map */
+
+NODE_DEFINE(NormalMapNode)
+{
+  NodeType *type = NodeType::add("normal_map", create, NodeType::SHADER);
+
+  static NodeEnum space_enum;
+  space_enum.insert("tangent", NODE_NORMAL_MAP_TANGENT);
+  space_enum.insert("object", NODE_NORMAL_MAP_OBJECT);
+  space_enum.insert("world", NODE_NORMAL_MAP_WORLD);
+  space_enum.insert("blender_object", NODE_NORMAL_MAP_BLENDER_OBJECT);
+  space_enum.insert("blender_world", NODE_NORMAL_MAP_BLENDER_WORLD);
+  SOCKET_ENUM(space, "Space", space_enum, NODE_NORMAL_MAP_TANGENT);
+
+  SOCKET_STRING(attribute, "Attribute", ustring());
+
+  SOCKET_IN_NORMAL(
+      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
+  SOCKET_IN_FLOAT(strength, "Strength", 1.0f);
+  SOCKET_IN_COLOR(color, "Color", make_float3(0.5f, 0.5f, 1.0f));
+
+  SOCKET_OUT_NORMAL(normal, "Normal");
+
+  return type;
+}
+
+NormalMapNode::NormalMapNode() : ShaderNode(get_node_type())
+{
+}
+
+void NormalMapNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link() && space == NODE_NORMAL_MAP_TANGENT) {
+    if (attribute.empty()) {
+      attributes->add(ATTR_STD_UV_TANGENT);
+      attributes->add(ATTR_STD_UV_TANGENT_SIGN);
+    }
+    else {
+      attributes->add(ustring((string(attribute.c_str()) + ".tangent").c_str()));
+      attributes->add(ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
+    }
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void NormalMapNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *color_in = input("Color");
+  ShaderInput *strength_in = input("Strength");
+  ShaderOutput *normal_out = output("Normal");
+  int attr = 0, attr_sign = 0;
+
+  if (space == NODE_NORMAL_MAP_TANGENT) {
+    if (attribute.empty()) {
+      attr = compiler.attribute(ATTR_STD_UV_TANGENT);
+      attr_sign = compiler.attribute(ATTR_STD_UV_TANGENT_SIGN);
+    }
+    else {
+      attr = compiler.attribute(ustring((string(attribute.c_str()) + ".tangent").c_str()));
+      attr_sign = compiler.attribute(
+          ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
+    }
+  }
+
+  compiler.add_node(NODE_NORMAL_MAP,
+                    compiler.encode_uchar4(compiler.stack_assign(color_in),
+                                           compiler.stack_assign(strength_in),
+                                           compiler.stack_assign(normal_out),
+                                           space),
+                    attr,
+                    attr_sign);
+}
+
+void NormalMapNode::compile(OSLCompiler &compiler)
+{
+  if (space == NODE_NORMAL_MAP_TANGENT) {
+    if (attribute.empty()) {
+      compiler.parameter("attr_name", ustring("geom:tangent"));
+      compiler.parameter("attr_sign_name", ustring("geom:tangent_sign"));
+    }
+    else {
+      compiler.parameter("attr_name", ustring((string(attribute.c_str()) + ".tangent").c_str()));
+      compiler.parameter("attr_sign_name",
+                         ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
+    }
+  }
+
+  compiler.parameter(this, "space");
+  compiler.add(this, "node_normal_map");
+}
+
+/* Tangent */
+
+NODE_DEFINE(TangentNode)
+{
+  NodeType *type = NodeType::add("tangent", create, NodeType::SHADER);
+
+  static NodeEnum direction_type_enum;
+  direction_type_enum.insert("radial", NODE_TANGENT_RADIAL);
+  direction_type_enum.insert("uv_map", NODE_TANGENT_UVMAP);
+  SOCKET_ENUM(direction_type, "Direction Type", direction_type_enum, NODE_TANGENT_RADIAL);
+
+  static NodeEnum axis_enum;
+  axis_enum.insert("x", NODE_TANGENT_AXIS_X);
+  axis_enum.insert("y", NODE_TANGENT_AXIS_Y);
+  axis_enum.insert("z", NODE_TANGENT_AXIS_Z);
+  SOCKET_ENUM(axis, "Axis", axis_enum, NODE_TANGENT_AXIS_X);
+
+  SOCKET_STRING(attribute, "Attribute", ustring());
+
+  SOCKET_IN_NORMAL(
+      normal_osl, "NormalIn", zero_float3(), SocketType::LINK_NORMAL | SocketType::OSL_INTERNAL);
+  SOCKET_OUT_NORMAL(tangent, "Tangent");
+
+  return type;
+}
+
+TangentNode::TangentNode() : ShaderNode(get_node_type())
+{
+}
+
+void TangentNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link()) {
+    if (direction_type == NODE_TANGENT_UVMAP) {
+      if (attribute.empty())
+        attributes->add(ATTR_STD_UV_TANGENT);
+      else
+        attributes->add(ustring((string(attribute.c_str()) + ".tangent").c_str()));
+    }
+    else
+      attributes->add(ATTR_STD_GENERATED);
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void TangentNode::compile(SVMCompiler &compiler)
+{
+  ShaderOutput *tangent_out = output("Tangent");
+  int attr;
+
+  if (direction_type == NODE_TANGENT_UVMAP) {
+    if (attribute.empty())
+      attr = compiler.attribute(ATTR_STD_UV_TANGENT);
+    else
+      attr = compiler.attribute(ustring((string(attribute.c_str()) + ".tangent").c_str()));
+  }
+  else
+    attr = compiler.attribute(ATTR_STD_GENERATED);
+
+  compiler.add_node(
+      NODE_TANGENT,
+      compiler.encode_uchar4(compiler.stack_assign(tangent_out), direction_type, axis),
+      attr);
+}
+
+void TangentNode::compile(OSLCompiler &compiler)
+{
+  if (direction_type == NODE_TANGENT_UVMAP) {
+    if (attribute.empty())
+      compiler.parameter("attr_name", ustring("geom:tangent"));
+    else
+      compiler.parameter("attr_name", ustring((string(attribute.c_str()) + ".tangent").c_str()));
+  }
+
+  compiler.parameter(this, "direction_type");
+  compiler.parameter(this, "axis");
+  compiler.add(this, "node_tangent");
+}
+
+/* Bevel */
+
+NODE_DEFINE(BevelNode)
+{
+  NodeType *type = NodeType::add("bevel", create, NodeType::SHADER);
+
+  SOCKET_INT(samples, "Samples", 4);
+
+  SOCKET_IN_FLOAT(radius, "Radius", 0.05f);
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+
+  SOCKET_OUT_NORMAL(bevel, "Normal");
+
+  return type;
+}
+
+BevelNode::BevelNode() : ShaderNode(get_node_type())
+{
+}
+
+void BevelNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *radius_in = input("Radius");
+  ShaderInput *normal_in = input("Normal");
+  ShaderOutput *normal_out = output("Normal");
+
+  compiler.add_node(NODE_BEVEL,
+                    compiler.encode_uchar4(samples,
+                                           compiler.stack_assign(radius_in),
+                                           compiler.stack_assign_if_linked(normal_in),
+                                           compiler.stack_assign(normal_out)));
+}
+
+void BevelNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "samples");
+  compiler.add(this, "node_bevel");
+}
+
+/* Displacement */
+
+NODE_DEFINE(DisplacementNode)
+{
+  NodeType *type = NodeType::add("displacement", create, NodeType::SHADER);
+
+  static NodeEnum space_enum;
+  space_enum.insert("object", NODE_NORMAL_MAP_OBJECT);
+  space_enum.insert("world", NODE_NORMAL_MAP_WORLD);
+
+  SOCKET_ENUM(space, "Space", space_enum, NODE_NORMAL_MAP_OBJECT);
+
+  SOCKET_IN_FLOAT(height, "Height", 0.0f);
+  SOCKET_IN_FLOAT(midlevel, "Midlevel", 0.5f);
+  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
+  SOCKET_IN_NORMAL(normal, "Normal", zero_float3(), SocketType::LINK_NORMAL);
+
+  SOCKET_OUT_VECTOR(displacement, "Displacement");
+
+  return type;
+}
+
+DisplacementNode::DisplacementNode() : ShaderNode(get_node_type())
+{
+}
+
+void DisplacementNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    if ((height - midlevel == 0.0f) || (scale == 0.0f)) {
+      folder.make_zero();
+    }
+  }
+}
+
+void DisplacementNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *height_in = input("Height");
+  ShaderInput *midlevel_in = input("Midlevel");
+  ShaderInput *scale_in = input("Scale");
+  ShaderInput *normal_in = input("Normal");
+  ShaderOutput *displacement_out = output("Displacement");
+
+  compiler.add_node(NODE_DISPLACEMENT,
+                    compiler.encode_uchar4(compiler.stack_assign(height_in),
+                                           compiler.stack_assign(midlevel_in),
+                                           compiler.stack_assign(scale_in),
+                                           compiler.stack_assign_if_linked(normal_in)),
+                    compiler.stack_assign(displacement_out),
+                    space);
+}
+
+void DisplacementNode::compile(OSLCompiler &compiler)
+{
+  compiler.parameter(this, "space");
+  compiler.add(this, "node_displacement");
+}
+
+/* Vector Displacement */
+
+NODE_DEFINE(VectorDisplacementNode)
+{
+  NodeType *type = NodeType::add("vector_displacement", create, NodeType::SHADER);
+
+  static NodeEnum space_enum;
+  space_enum.insert("tangent", NODE_NORMAL_MAP_TANGENT);
+  space_enum.insert("object", NODE_NORMAL_MAP_OBJECT);
+  space_enum.insert("world", NODE_NORMAL_MAP_WORLD);
+
+  SOCKET_ENUM(space, "Space", space_enum, NODE_NORMAL_MAP_TANGENT);
+  SOCKET_STRING(attribute, "Attribute", ustring());
+
+  SOCKET_IN_COLOR(vector, "Vector", zero_float3());
+  SOCKET_IN_FLOAT(midlevel, "Midlevel", 0.0f);
+  SOCKET_IN_FLOAT(scale, "Scale", 1.0f);
+
+  SOCKET_OUT_VECTOR(displacement, "Displacement");
+
+  return type;
+}
+
+VectorDisplacementNode::VectorDisplacementNode() : ShaderNode(get_node_type())
+{
+}
+
+void VectorDisplacementNode::constant_fold(const ConstantFolder &folder)
+{
+  if (folder.all_inputs_constant()) {
+    if ((vector == zero_float3() && midlevel == 0.0f) || (scale == 0.0f)) {
+      folder.make_zero();
+    }
+  }
+}
+
+void VectorDisplacementNode::attributes(Shader *shader, AttributeRequestSet *attributes)
+{
+  if (shader->has_surface_link() && space == NODE_NORMAL_MAP_TANGENT) {
+    if (attribute.empty()) {
+      attributes->add(ATTR_STD_UV_TANGENT);
+      attributes->add(ATTR_STD_UV_TANGENT_SIGN);
+    }
+    else {
+      attributes->add(ustring((string(attribute.c_str()) + ".tangent").c_str()));
+      attributes->add(ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
+    }
+  }
+
+  ShaderNode::attributes(shader, attributes);
+}
+
+void VectorDisplacementNode::compile(SVMCompiler &compiler)
+{
+  ShaderInput *vector_in = input("Vector");
+  ShaderInput *midlevel_in = input("Midlevel");
+  ShaderInput *scale_in = input("Scale");
+  ShaderOutput *displacement_out = output("Displacement");
+  int attr = 0, attr_sign = 0;
+
+  if (space == NODE_NORMAL_MAP_TANGENT) {
+    if (attribute.empty()) {
+      attr = compiler.attribute(ATTR_STD_UV_TANGENT);
+      attr_sign = compiler.attribute(ATTR_STD_UV_TANGENT_SIGN);
+    }
+    else {
+      attr = compiler.attribute(ustring((string(attribute.c_str()) + ".tangent").c_str()));
+      attr_sign = compiler.attribute(
+          ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
+    }
+  }
+
+  compiler.add_node(NODE_VECTOR_DISPLACEMENT,
+                    compiler.encode_uchar4(compiler.stack_assign(vector_in),
+                                           compiler.stack_assign(midlevel_in),
+                                           compiler.stack_assign(scale_in),
+                                           compiler.stack_assign(displacement_out)),
+                    attr,
+                    attr_sign);
+
+  compiler.add_node(space);
+}
+
+void VectorDisplacementNode::compile(OSLCompiler &compiler)
+{
+  if (space == NODE_NORMAL_MAP_TANGENT) {
+    if (attribute.empty()) {
+      compiler.parameter("attr_name", ustring("geom:tangent"));
+      compiler.parameter("attr_sign_name", ustring("geom:tangent_sign"));
+    }
+    else {
+      compiler.parameter("attr_name", ustring((string(attribute.c_str()) + ".tangent").c_str()));
+      compiler.parameter("attr_sign_name",
+                         ustring((string(attribute.c_str()) + ".tangent_sign").c_str()));
+    }
+  }
+
+  compiler.parameter(this, "space");
+  compiler.add(this, "node_vector_displacement");
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/shader_nodes.h b/intern/cycles/scene/shader_nodes.h
new file mode 100644
index 00000000000..b8a439fa9b9
--- /dev/null
+++ b/intern/cycles/scene/shader_nodes.h
@@ -0,0 +1,1569 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __NODES_H__
+#define __NODES_H__
+
+#include "graph/node.h"
+#include "scene/image.h"
+#include "scene/shader_graph.h"
+
+#include "util/util_array.h"
+#include "util/util_string.h"
+
+CCL_NAMESPACE_BEGIN
+
+class ImageManager;
+class LightManager;
+class Scene;
+class Shader;
+
+/* Texture Mapping */
+
+class TextureMapping {
+ public:
+  TextureMapping();
+  Transform compute_transform();
+  bool skip();
+  void compile(SVMCompiler &compiler, int offset_in, int offset_out);
+  int compile(SVMCompiler &compiler, ShaderInput *vector_in);
+  void compile(OSLCompiler &compiler);
+
+  int compile_begin(SVMCompiler &compiler, ShaderInput *vector_in);
+  void compile_end(SVMCompiler &compiler, ShaderInput *vector_in, int vector_offset);
+
+  float3 translation;
+  float3 rotation;
+  float3 scale;
+
+  float3 min, max;
+  bool use_minmax;
+
+  enum Type { POINT = 0, TEXTURE = 1, VECTOR = 2, NORMAL = 3 };
+  Type type;
+
+  enum Mapping { NONE = 0, X = 1, Y = 2, Z = 3 };
+  Mapping x_mapping, y_mapping, z_mapping;
+
+  enum Projection { FLAT, CUBE, TUBE, SPHERE };
+  Projection projection;
+};
+
+/* Nodes */
+
+class TextureNode : public ShaderNode {
+ public:
+  explicit TextureNode(const NodeType *node_type) : ShaderNode(node_type)
+  {
+  }
+  TextureMapping tex_mapping;
+  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, translation)
+  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, rotation)
+  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, scale)
+  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, min)
+  NODE_SOCKET_API_STRUCT_MEMBER(float3, tex_mapping, max)
+  NODE_SOCKET_API_STRUCT_MEMBER(bool, tex_mapping, use_minmax)
+  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Type, tex_mapping, type)
+  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Mapping, tex_mapping, x_mapping)
+  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Mapping, tex_mapping, y_mapping)
+  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Mapping, tex_mapping, z_mapping)
+  NODE_SOCKET_API_STRUCT_MEMBER(TextureMapping::Projection, tex_mapping, projection)
+};
+
+/* Any node which uses image manager's slot should be a subclass of this one. */
+class ImageSlotTextureNode : public TextureNode {
+ public:
+  explicit ImageSlotTextureNode(const NodeType *node_type) : TextureNode(node_type)
+  {
+    special_type = SHADER_SPECIAL_TYPE_IMAGE_SLOT;
+  }
+
+  virtual bool equals(const ShaderNode &other)
+  {
+    const ImageSlotTextureNode &other_node = (const ImageSlotTextureNode &)other;
+    return TextureNode::equals(other) && handle == other_node.handle;
+  }
+
+  ImageHandle handle;
+};
+
+class ImageTextureNode : public ImageSlotTextureNode {
+ public:
+  SHADER_NODE_NO_CLONE_CLASS(ImageTextureNode)
+  ShaderNode *clone(ShaderGraph *graph) const;
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+
+  virtual bool equals(const ShaderNode &other)
+  {
+    const ImageTextureNode &other_node = (const ImageTextureNode &)other;
+    return ImageSlotTextureNode::equals(other) && animated == other_node.animated;
+  }
+
+  ImageParams image_params() const;
+
+  /* Parameters. */
+  NODE_SOCKET_API(ustring, filename)
+  NODE_SOCKET_API(ustring, colorspace)
+  NODE_SOCKET_API(ImageAlphaType, alpha_type)
+  NODE_SOCKET_API(NodeImageProjection, projection)
+  NODE_SOCKET_API(InterpolationType, interpolation)
+  NODE_SOCKET_API(ExtensionType, extension)
+  NODE_SOCKET_API(float, projection_blend)
+  NODE_SOCKET_API(bool, animated)
+  NODE_SOCKET_API(float3, vector)
+  NODE_SOCKET_API_ARRAY(array<int>, tiles)
+
+ protected:
+  void cull_tiles(Scene *scene, ShaderGraph *graph);
+};
+
+class EnvironmentTextureNode : public ImageSlotTextureNode {
+ public:
+  SHADER_NODE_NO_CLONE_CLASS(EnvironmentTextureNode)
+  ShaderNode *clone(ShaderGraph *graph) const;
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+
+  virtual bool equals(const ShaderNode &other)
+  {
+    const EnvironmentTextureNode &other_node = (const EnvironmentTextureNode &)other;
+    return ImageSlotTextureNode::equals(other) && animated == other_node.animated;
+  }
+
+  ImageParams image_params() const;
+
+  /* Parameters. */
+  NODE_SOCKET_API(ustring, filename)
+  NODE_SOCKET_API(ustring, colorspace)
+  NODE_SOCKET_API(ImageAlphaType, alpha_type)
+  NODE_SOCKET_API(NodeEnvironmentProjection, projection)
+  NODE_SOCKET_API(InterpolationType, interpolation)
+  NODE_SOCKET_API(bool, animated)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class SkyTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(SkyTextureNode)
+
+  NODE_SOCKET_API(NodeSkyType, sky_type)
+  NODE_SOCKET_API(float3, sun_direction)
+  NODE_SOCKET_API(float, turbidity)
+  NODE_SOCKET_API(float, ground_albedo)
+  NODE_SOCKET_API(bool, sun_disc)
+  NODE_SOCKET_API(float, sun_size)
+  NODE_SOCKET_API(float, sun_intensity)
+  NODE_SOCKET_API(float, sun_elevation)
+  NODE_SOCKET_API(float, sun_rotation)
+  NODE_SOCKET_API(float, altitude)
+  NODE_SOCKET_API(float, air_density)
+  NODE_SOCKET_API(float, dust_density)
+  NODE_SOCKET_API(float, ozone_density)
+  NODE_SOCKET_API(float3, vector)
+  ImageHandle handle;
+
+  float get_sun_size()
+  {
+    /* Clamping for numerical precision. */
+    return fmaxf(sun_size, 0.0005f);
+  }
+};
+
+class OutputNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(OutputNode)
+
+  NODE_SOCKET_API(Node *, surface)
+  NODE_SOCKET_API(Node *, volume)
+  NODE_SOCKET_API(float3, displacement)
+  NODE_SOCKET_API(float3, normal)
+
+  /* Don't allow output node de-duplication. */
+  virtual bool equals(const ShaderNode & /*other*/)
+  {
+    return false;
+  }
+};
+
+class OutputAOVNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(OutputAOVNode)
+  virtual void simplify_settings(Scene *scene);
+
+  NODE_SOCKET_API(float, value)
+  NODE_SOCKET_API(float3, color)
+
+  NODE_SOCKET_API(ustring, name)
+
+  /* Don't allow output node de-duplication. */
+  virtual bool equals(const ShaderNode & /*other*/)
+  {
+    return false;
+  }
+
+  int offset;
+  bool is_color;
+};
+
+class GradientTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(GradientTextureNode)
+
+  NODE_SOCKET_API(NodeGradientType, gradient_type)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class NoiseTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(NoiseTextureNode)
+
+  NODE_SOCKET_API(int, dimensions)
+  NODE_SOCKET_API(float, w)
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float, detail)
+  NODE_SOCKET_API(float, roughness)
+  NODE_SOCKET_API(float, distortion)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class VoronoiTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(VoronoiTextureNode)
+
+  virtual int get_feature()
+  {
+    int result = ShaderNode::get_feature();
+    if (dimensions == 4) {
+      result |= KERNEL_FEATURE_NODE_VORONOI_EXTRA;
+    }
+    else if (dimensions >= 2 && feature == NODE_VORONOI_SMOOTH_F1) {
+      result |= KERNEL_FEATURE_NODE_VORONOI_EXTRA;
+    }
+    return result;
+  }
+
+  NODE_SOCKET_API(int, dimensions)
+  NODE_SOCKET_API(NodeVoronoiDistanceMetric, metric)
+  NODE_SOCKET_API(NodeVoronoiFeature, feature)
+  NODE_SOCKET_API(float, w)
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float, exponent)
+  NODE_SOCKET_API(float, smoothness)
+  NODE_SOCKET_API(float, randomness)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class MusgraveTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(MusgraveTextureNode)
+
+  NODE_SOCKET_API(int, dimensions)
+  NODE_SOCKET_API(NodeMusgraveType, musgrave_type)
+  NODE_SOCKET_API(float, w)
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float, detail)
+  NODE_SOCKET_API(float, dimension)
+  NODE_SOCKET_API(float, lacunarity)
+  NODE_SOCKET_API(float, offset)
+  NODE_SOCKET_API(float, gain)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class WaveTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(WaveTextureNode)
+
+  NODE_SOCKET_API(NodeWaveType, wave_type)
+  NODE_SOCKET_API(NodeWaveBandsDirection, bands_direction)
+  NODE_SOCKET_API(NodeWaveRingsDirection, rings_direction)
+  NODE_SOCKET_API(NodeWaveProfile, profile)
+
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float, distortion)
+  NODE_SOCKET_API(float, detail)
+  NODE_SOCKET_API(float, detail_scale)
+  NODE_SOCKET_API(float, detail_roughness)
+  NODE_SOCKET_API(float, phase)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class MagicTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(MagicTextureNode)
+
+  NODE_SOCKET_API(int, depth)
+  NODE_SOCKET_API(float3, vector)
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float, distortion)
+};
+
+class CheckerTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(CheckerTextureNode)
+
+  NODE_SOCKET_API(float3, vector)
+  NODE_SOCKET_API(float3, color1)
+  NODE_SOCKET_API(float3, color2)
+  NODE_SOCKET_API(float, scale)
+};
+
+class BrickTextureNode : public TextureNode {
+ public:
+  SHADER_NODE_CLASS(BrickTextureNode)
+
+  NODE_SOCKET_API(float, offset)
+  NODE_SOCKET_API(float, squash)
+  NODE_SOCKET_API(int, offset_frequency)
+  NODE_SOCKET_API(int, squash_frequency)
+
+  NODE_SOCKET_API(float3, color1)
+  NODE_SOCKET_API(float3, color2)
+  NODE_SOCKET_API(float3, mortar)
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float, mortar_size)
+  NODE_SOCKET_API(float, mortar_smooth)
+  NODE_SOCKET_API(float, bias)
+  NODE_SOCKET_API(float, brick_width)
+  NODE_SOCKET_API(float, row_height)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class PointDensityTextureNode : public ShaderNode {
+ public:
+  SHADER_NODE_NO_CLONE_CLASS(PointDensityTextureNode)
+
+  ~PointDensityTextureNode();
+  ShaderNode *clone(ShaderGraph *graph) const;
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  /* Parameters. */
+  NODE_SOCKET_API(ustring, filename)
+  NODE_SOCKET_API(NodeTexVoxelSpace, space)
+  NODE_SOCKET_API(InterpolationType, interpolation)
+  NODE_SOCKET_API(Transform, tfm)
+  NODE_SOCKET_API(float3, vector)
+
+  /* Runtime. */
+  ImageHandle handle;
+
+  ImageParams image_params() const;
+
+  virtual bool equals(const ShaderNode &other)
+  {
+    const PointDensityTextureNode &other_node = (const PointDensityTextureNode &)other;
+    return ShaderNode::equals(other) && handle == other_node.handle;
+  }
+};
+
+class IESLightNode : public TextureNode {
+ public:
+  SHADER_NODE_NO_CLONE_CLASS(IESLightNode)
+
+  ~IESLightNode();
+  ShaderNode *clone(ShaderGraph *graph) const;
+
+  NODE_SOCKET_API(ustring, filename)
+  NODE_SOCKET_API(ustring, ies)
+
+  NODE_SOCKET_API(float, strength)
+  NODE_SOCKET_API(float3, vector)
+
+ private:
+  LightManager *light_manager;
+  int slot;
+
+  void get_slot();
+};
+
+class WhiteNoiseTextureNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(WhiteNoiseTextureNode)
+
+  NODE_SOCKET_API(int, dimensions)
+  NODE_SOCKET_API(float3, vector)
+  NODE_SOCKET_API(float, w)
+};
+
+class MappingNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(MappingNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, vector)
+  NODE_SOCKET_API(float3, location)
+  NODE_SOCKET_API(float3, rotation)
+  NODE_SOCKET_API(float3, scale)
+  NODE_SOCKET_API(NodeMappingType, mapping_type)
+};
+
+class RGBToBWNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(RGBToBWNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, color)
+};
+
+class ConvertNode : public ShaderNode {
+ public:
+  ConvertNode(SocketType::Type from, SocketType::Type to, bool autoconvert = false);
+  ConvertNode(const ConvertNode &other);
+  SHADER_NODE_BASE_CLASS(ConvertNode)
+
+  void constant_fold(const ConstantFolder &folder);
+
+ private:
+  SocketType::Type from, to;
+
+  union {
+    float value_float;
+    int value_int;
+    float3 value_color;
+    float3 value_vector;
+    float3 value_point;
+    float3 value_normal;
+  };
+  ustring value_string;
+
+  static const int MAX_TYPE = 12;
+  static bool register_types();
+  static Node *create(const NodeType *type);
+  static const NodeType *node_types[MAX_TYPE][MAX_TYPE];
+  static bool initialized;
+};
+
+class BsdfBaseNode : public ShaderNode {
+ public:
+  BsdfBaseNode(const NodeType *node_type);
+
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  virtual ClosureType get_closure_type()
+  {
+    return closure;
+  }
+  virtual bool has_bump();
+
+  virtual bool equals(const ShaderNode & /*other*/)
+  {
+    /* TODO(sergey): With some care BSDF nodes can be de-duplicated. */
+    return false;
+  }
+
+  virtual int get_feature()
+  {
+    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_BSDF;
+  }
+
+ protected:
+  ClosureType closure;
+};
+
+class BsdfNode : public BsdfBaseNode {
+ public:
+  explicit BsdfNode(const NodeType *node_type);
+  SHADER_NODE_BASE_CLASS(BsdfNode)
+
+  void compile(SVMCompiler &compiler,
+               ShaderInput *param1,
+               ShaderInput *param2,
+               ShaderInput *param3 = NULL,
+               ShaderInput *param4 = NULL);
+
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(float, surface_mix_weight)
+};
+
+class AnisotropicBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(AnisotropicBsdfNode)
+
+  NODE_SOCKET_API(float3, tangent)
+  NODE_SOCKET_API(float, roughness)
+  NODE_SOCKET_API(float, anisotropy)
+  NODE_SOCKET_API(float, rotation)
+  NODE_SOCKET_API(ClosureType, distribution)
+
+  ClosureType get_closure_type()
+  {
+    return distribution;
+  }
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+};
+
+class DiffuseBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(DiffuseBsdfNode)
+
+  NODE_SOCKET_API(float, roughness)
+};
+
+/* Disney principled BRDF */
+class PrincipledBsdfNode : public BsdfBaseNode {
+ public:
+  SHADER_NODE_CLASS(PrincipledBsdfNode)
+
+  void expand(ShaderGraph *graph);
+  bool has_surface_bssrdf();
+  bool has_bssrdf_bump();
+  void compile(SVMCompiler &compiler,
+               ShaderInput *metallic,
+               ShaderInput *subsurface,
+               ShaderInput *subsurface_radius,
+               ShaderInput *subsurface_ior,
+               ShaderInput *subsurface_anisotropy,
+               ShaderInput *specular,
+               ShaderInput *roughness,
+               ShaderInput *specular_tint,
+               ShaderInput *anisotropic,
+               ShaderInput *sheen,
+               ShaderInput *sheen_tint,
+               ShaderInput *clearcoat,
+               ShaderInput *clearcoat_roughness,
+               ShaderInput *ior,
+               ShaderInput *transmission,
+               ShaderInput *anisotropic_rotation,
+               ShaderInput *transmission_roughness);
+
+  NODE_SOCKET_API(float3, base_color)
+  NODE_SOCKET_API(float3, subsurface_color)
+  NODE_SOCKET_API(float3, subsurface_radius)
+  NODE_SOCKET_API(float, subsurface_ior)
+  NODE_SOCKET_API(float, subsurface_anisotropy)
+  NODE_SOCKET_API(float, metallic)
+  NODE_SOCKET_API(float, subsurface)
+  NODE_SOCKET_API(float, specular)
+  NODE_SOCKET_API(float, roughness)
+  NODE_SOCKET_API(float, specular_tint)
+  NODE_SOCKET_API(float, anisotropic)
+  NODE_SOCKET_API(float, sheen)
+  NODE_SOCKET_API(float, sheen_tint)
+  NODE_SOCKET_API(float, clearcoat)
+  NODE_SOCKET_API(float, clearcoat_roughness)
+  NODE_SOCKET_API(float, ior)
+  NODE_SOCKET_API(float, transmission)
+  NODE_SOCKET_API(float, anisotropic_rotation)
+  NODE_SOCKET_API(float, transmission_roughness)
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(float3, clearcoat_normal)
+  NODE_SOCKET_API(float3, tangent)
+  NODE_SOCKET_API(float, surface_mix_weight)
+  NODE_SOCKET_API(ClosureType, distribution)
+  NODE_SOCKET_API(ClosureType, subsurface_method)
+  NODE_SOCKET_API(float3, emission)
+  NODE_SOCKET_API(float, emission_strength)
+  NODE_SOCKET_API(float, alpha)
+
+ private:
+  ClosureType distribution_orig;
+
+ public:
+  bool has_integrator_dependency();
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+};
+
+class TranslucentBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(TranslucentBsdfNode)
+};
+
+class TransparentBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(TransparentBsdfNode)
+
+  bool has_surface_transparent()
+  {
+    return true;
+  }
+};
+
+class VelvetBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(VelvetBsdfNode)
+
+  NODE_SOCKET_API(float, sigma)
+};
+
+class GlossyBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(GlossyBsdfNode)
+
+  void simplify_settings(Scene *scene);
+  bool has_integrator_dependency();
+  ClosureType get_closure_type()
+  {
+    return distribution;
+  }
+
+  NODE_SOCKET_API(float, roughness)
+  NODE_SOCKET_API(ClosureType, distribution)
+
+ private:
+  float roughness_orig;
+  ClosureType distribution_orig;
+};
+
+class GlassBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(GlassBsdfNode)
+
+  void simplify_settings(Scene *scene);
+  bool has_integrator_dependency();
+  ClosureType get_closure_type()
+  {
+    return distribution;
+  }
+
+  NODE_SOCKET_API(float, roughness)
+  NODE_SOCKET_API(float, IOR)
+  NODE_SOCKET_API(ClosureType, distribution)
+
+ private:
+  float roughness_orig;
+  ClosureType distribution_orig;
+};
+
+class RefractionBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(RefractionBsdfNode)
+
+  void simplify_settings(Scene *scene);
+  bool has_integrator_dependency();
+  ClosureType get_closure_type()
+  {
+    return distribution;
+  }
+
+  NODE_SOCKET_API(float, roughness)
+  NODE_SOCKET_API(float, IOR)
+  NODE_SOCKET_API(ClosureType, distribution)
+
+ private:
+  float roughness_orig;
+  ClosureType distribution_orig;
+};
+
+class ToonBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(ToonBsdfNode)
+
+  NODE_SOCKET_API(float, smooth)
+  NODE_SOCKET_API(float, size)
+  NODE_SOCKET_API(ClosureType, component)
+};
+
+class SubsurfaceScatteringNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(SubsurfaceScatteringNode)
+  bool has_surface_bssrdf()
+  {
+    return true;
+  }
+  bool has_bssrdf_bump();
+  ClosureType get_closure_type()
+  {
+    return method;
+  }
+
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float3, radius)
+  NODE_SOCKET_API(float, subsurface_ior)
+  NODE_SOCKET_API(float, subsurface_anisotropy)
+  NODE_SOCKET_API(ClosureType, method)
+};
+
+class EmissionNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(EmissionNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  bool has_surface_emission()
+  {
+    return true;
+  }
+  bool has_volume_support()
+  {
+    return true;
+  }
+
+  virtual int get_feature()
+  {
+    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_EMISSION;
+  }
+
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float, strength)
+  NODE_SOCKET_API(float, surface_mix_weight)
+};
+
+class BackgroundNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(BackgroundNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  virtual int get_feature()
+  {
+    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_EMISSION;
+  }
+
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float, strength)
+  NODE_SOCKET_API(float, surface_mix_weight)
+};
+
+class HoldoutNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(HoldoutNode)
+  virtual ClosureType get_closure_type()
+  {
+    return CLOSURE_HOLDOUT_ID;
+  }
+
+  NODE_SOCKET_API(float, surface_mix_weight)
+  NODE_SOCKET_API(float, volume_mix_weight)
+};
+
+class AmbientOcclusionNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(AmbientOcclusionNode)
+
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  virtual int get_feature()
+  {
+    return KERNEL_FEATURE_NODE_RAYTRACE;
+  }
+
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float, distance)
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(int, samples)
+
+  NODE_SOCKET_API(bool, only_local)
+  NODE_SOCKET_API(bool, inside)
+};
+
+class VolumeNode : public ShaderNode {
+ public:
+  VolumeNode(const NodeType *node_type);
+  SHADER_NODE_BASE_CLASS(VolumeNode)
+
+  void compile(SVMCompiler &compiler, ShaderInput *param1, ShaderInput *param2);
+  virtual int get_feature()
+  {
+    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_VOLUME;
+  }
+  virtual ClosureType get_closure_type()
+  {
+    return closure;
+  }
+  virtual bool has_volume_support()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float, density)
+  NODE_SOCKET_API(float, volume_mix_weight)
+
+ protected:
+  ClosureType closure;
+
+ public:
+  virtual bool equals(const ShaderNode & /*other*/)
+  {
+    /* TODO(sergey): With some care Volume nodes can be de-duplicated. */
+    return false;
+  }
+};
+
+class AbsorptionVolumeNode : public VolumeNode {
+ public:
+  SHADER_NODE_CLASS(AbsorptionVolumeNode)
+};
+
+class ScatterVolumeNode : public VolumeNode {
+ public:
+  SHADER_NODE_CLASS(ScatterVolumeNode)
+
+  NODE_SOCKET_API(float, anisotropy)
+};
+
+class PrincipledVolumeNode : public VolumeNode {
+ public:
+  SHADER_NODE_CLASS(PrincipledVolumeNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(ustring, density_attribute)
+  NODE_SOCKET_API(ustring, color_attribute)
+  NODE_SOCKET_API(ustring, temperature_attribute)
+
+  NODE_SOCKET_API(float, anisotropy)
+  NODE_SOCKET_API(float3, absorption_color)
+  NODE_SOCKET_API(float, emission_strength)
+  NODE_SOCKET_API(float3, emission_color)
+  NODE_SOCKET_API(float, blackbody_intensity)
+  NODE_SOCKET_API(float3, blackbody_tint)
+  NODE_SOCKET_API(float, temperature)
+};
+
+/* Interface between the I/O sockets and the SVM/OSL backend. */
+class PrincipledHairBsdfNode : public BsdfBaseNode {
+ public:
+  SHADER_NODE_CLASS(PrincipledHairBsdfNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+
+  /* Longitudinal roughness. */
+  NODE_SOCKET_API(float, roughness)
+  /* Azimuthal roughness. */
+  NODE_SOCKET_API(float, radial_roughness)
+  /* Randomization factor for roughnesses. */
+  NODE_SOCKET_API(float, random_roughness)
+  /* Longitudinal roughness factor for only the diffuse bounce (shiny undercoat). */
+  NODE_SOCKET_API(float, coat)
+  /* Index of reflection. */
+  NODE_SOCKET_API(float, ior)
+  /* Cuticle tilt angle. */
+  NODE_SOCKET_API(float, offset)
+  /* Direct coloring's color. */
+  NODE_SOCKET_API(float3, color)
+  /* Melanin concentration. */
+  NODE_SOCKET_API(float, melanin)
+  /* Melanin redness ratio. */
+  NODE_SOCKET_API(float, melanin_redness)
+  /* Dye color. */
+  NODE_SOCKET_API(float3, tint)
+  /* Randomization factor for melanin quantities. */
+  NODE_SOCKET_API(float, random_color)
+  /* Absorption coefficient (unfiltered). */
+  NODE_SOCKET_API(float3, absorption_coefficient)
+
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(float, surface_mix_weight)
+  /* If linked, here will be the given random number. */
+  NODE_SOCKET_API(float, random)
+  /* Selected coloring parametrization. */
+  NODE_SOCKET_API(NodePrincipledHairParametrization, parametrization)
+};
+
+class HairBsdfNode : public BsdfNode {
+ public:
+  SHADER_NODE_CLASS(HairBsdfNode)
+  ClosureType get_closure_type()
+  {
+    return component;
+  }
+
+  NODE_SOCKET_API(ClosureType, component)
+  NODE_SOCKET_API(float, offset)
+  NODE_SOCKET_API(float, roughness_u)
+  NODE_SOCKET_API(float, roughness_v)
+  NODE_SOCKET_API(float3, tangent)
+};
+
+class GeometryNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(GeometryNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  int get_group();
+
+  NODE_SOCKET_API(float3, normal_osl)
+};
+
+class TextureCoordinateNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(TextureCoordinateNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(float3, normal_osl)
+  NODE_SOCKET_API(bool, from_dupli)
+  NODE_SOCKET_API(bool, use_transform)
+  NODE_SOCKET_API(Transform, ob_tfm)
+};
+
+class UVMapNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(UVMapNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(ustring, attribute)
+  NODE_SOCKET_API(bool, from_dupli)
+};
+
+class LightPathNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(LightPathNode)
+};
+
+class LightFalloffNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(LightFalloffNode)
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(float, strength)
+  NODE_SOCKET_API(float, smooth)
+};
+
+class ObjectInfoNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(ObjectInfoNode)
+};
+
+class ParticleInfoNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(ParticleInfoNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+};
+
+class HairInfoNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(HairInfoNode)
+
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  virtual int get_feature()
+  {
+    return ShaderNode::get_feature() | KERNEL_FEATURE_NODE_HAIR;
+  }
+};
+
+class VolumeInfoNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(VolumeInfoNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  void expand(ShaderGraph *graph);
+};
+
+class VertexColorNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(VertexColorNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(ustring, layer_name)
+};
+
+class ValueNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(ValueNode)
+
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, value)
+};
+
+class ColorNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(ColorNode)
+
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, value)
+};
+
+class AddClosureNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(AddClosureNode)
+  void constant_fold(const ConstantFolder &folder);
+};
+
+class MixClosureNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(MixClosureNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, fac)
+};
+
+class MixClosureWeightNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(MixClosureWeightNode)
+
+  NODE_SOCKET_API(float, weight)
+  NODE_SOCKET_API(float, fac)
+};
+
+class InvertNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(InvertNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, fac)
+  NODE_SOCKET_API(float3, color)
+};
+
+class MixNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(MixNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(NodeMix, mix_type)
+  NODE_SOCKET_API(bool, use_clamp)
+  NODE_SOCKET_API(float3, color1)
+  NODE_SOCKET_API(float3, color2)
+  NODE_SOCKET_API(float, fac)
+};
+
+class CombineRGBNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(CombineRGBNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, r)
+  NODE_SOCKET_API(float, g)
+  NODE_SOCKET_API(float, b)
+};
+
+class CombineHSVNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(CombineHSVNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, h)
+  NODE_SOCKET_API(float, s)
+  NODE_SOCKET_API(float, v)
+};
+
+class CombineXYZNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(CombineXYZNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, x)
+  NODE_SOCKET_API(float, y)
+  NODE_SOCKET_API(float, z)
+};
+
+class GammaNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(GammaNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float, gamma)
+};
+
+class BrightContrastNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(BrightContrastNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float, bright)
+  NODE_SOCKET_API(float, contrast)
+};
+
+class SeparateRGBNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(SeparateRGBNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, color)
+};
+
+class SeparateHSVNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(SeparateHSVNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, color)
+};
+
+class SeparateXYZNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(SeparateXYZNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, vector)
+};
+
+class HSVNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(HSVNode)
+
+  NODE_SOCKET_API(float, hue)
+  NODE_SOCKET_API(float, saturation)
+  NODE_SOCKET_API(float, value)
+  NODE_SOCKET_API(float, fac)
+  NODE_SOCKET_API(float3, color)
+};
+
+class AttributeNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(AttributeNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(ustring, attribute)
+};
+
+class CameraNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(CameraNode)
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+};
+
+class FresnelNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(FresnelNode)
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(float, IOR)
+};
+
+class LayerWeightNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(LayerWeightNode)
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(float, blend)
+};
+
+class WireframeNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(WireframeNode)
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(float, size)
+  NODE_SOCKET_API(bool, use_pixel_size)
+};
+
+class WavelengthNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(WavelengthNode)
+
+  NODE_SOCKET_API(float, wavelength)
+};
+
+class BlackbodyNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(BlackbodyNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, temperature)
+};
+
+class MapRangeNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(MapRangeNode)
+  void expand(ShaderGraph *graph);
+
+  NODE_SOCKET_API(float, value)
+  NODE_SOCKET_API(float, from_min)
+  NODE_SOCKET_API(float, from_max)
+  NODE_SOCKET_API(float, to_min)
+  NODE_SOCKET_API(float, to_max)
+  NODE_SOCKET_API(float, steps)
+  NODE_SOCKET_API(NodeMapRangeType, range_type)
+  NODE_SOCKET_API(bool, clamp)
+};
+
+class ClampNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(ClampNode)
+  void constant_fold(const ConstantFolder &folder);
+  NODE_SOCKET_API(float, value)
+  NODE_SOCKET_API(float, min)
+  NODE_SOCKET_API(float, max)
+  NODE_SOCKET_API(NodeClampType, clamp_type)
+};
+
+class MathNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(MathNode)
+  void expand(ShaderGraph *graph);
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float, value1)
+  NODE_SOCKET_API(float, value2)
+  NODE_SOCKET_API(float, value3)
+  NODE_SOCKET_API(NodeMathType, math_type)
+  NODE_SOCKET_API(bool, use_clamp)
+};
+
+class NormalNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(NormalNode)
+
+  NODE_SOCKET_API(float3, direction)
+  NODE_SOCKET_API(float3, normal)
+};
+
+class VectorMathNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(VectorMathNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API(float3, vector1)
+  NODE_SOCKET_API(float3, vector2)
+  NODE_SOCKET_API(float3, vector3)
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(NodeVectorMathType, math_type)
+};
+
+class VectorRotateNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(VectorRotateNode)
+
+  NODE_SOCKET_API(NodeVectorRotateType, rotate_type)
+  NODE_SOCKET_API(bool, invert)
+  NODE_SOCKET_API(float3, vector)
+  NODE_SOCKET_API(float3, center)
+  NODE_SOCKET_API(float3, axis)
+  NODE_SOCKET_API(float, angle)
+  NODE_SOCKET_API(float3, rotation)
+};
+
+class VectorTransformNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(VectorTransformNode)
+
+  NODE_SOCKET_API(NodeVectorTransformType, transform_type)
+  NODE_SOCKET_API(NodeVectorTransformConvertSpace, convert_from)
+  NODE_SOCKET_API(NodeVectorTransformConvertSpace, convert_to)
+  NODE_SOCKET_API(float3, vector)
+};
+
+class BumpNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(BumpNode)
+  void constant_fold(const ConstantFolder &folder);
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  virtual int get_feature()
+  {
+    return KERNEL_FEATURE_NODE_BUMP;
+  }
+
+  NODE_SOCKET_API(bool, invert)
+  NODE_SOCKET_API(bool, use_object_space)
+  NODE_SOCKET_API(float, height)
+  NODE_SOCKET_API(float, sample_center)
+  NODE_SOCKET_API(float, sample_x)
+  NODE_SOCKET_API(float, sample_y)
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(float, strength)
+  NODE_SOCKET_API(float, distance)
+};
+
+class CurvesNode : public ShaderNode {
+ public:
+  explicit CurvesNode(const NodeType *node_type);
+  SHADER_NODE_BASE_CLASS(CurvesNode)
+
+  NODE_SOCKET_API_ARRAY(array<float3>, curves)
+  NODE_SOCKET_API(float, min_x)
+  NODE_SOCKET_API(float, max_x)
+  NODE_SOCKET_API(float, fac)
+  NODE_SOCKET_API(float3, value)
+
+ protected:
+  using ShaderNode::constant_fold;
+  void constant_fold(const ConstantFolder &folder, ShaderInput *value_in);
+  void compile(SVMCompiler &compiler, int type, ShaderInput *value_in, ShaderOutput *value_out);
+  void compile(OSLCompiler &compiler, const char *name);
+};
+
+class RGBCurvesNode : public CurvesNode {
+ public:
+  SHADER_NODE_CLASS(RGBCurvesNode)
+  void constant_fold(const ConstantFolder &folder);
+};
+
+class VectorCurvesNode : public CurvesNode {
+ public:
+  SHADER_NODE_CLASS(VectorCurvesNode)
+  void constant_fold(const ConstantFolder &folder);
+};
+
+class FloatCurveNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(FloatCurveNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API_ARRAY(array<float>, curve)
+  NODE_SOCKET_API(float, min_x)
+  NODE_SOCKET_API(float, max_x)
+  NODE_SOCKET_API(float, fac)
+  NODE_SOCKET_API(float, value)
+};
+
+class RGBRampNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(RGBRampNode)
+  void constant_fold(const ConstantFolder &folder);
+
+  NODE_SOCKET_API_ARRAY(array<float3>, ramp)
+  NODE_SOCKET_API_ARRAY(array<float>, ramp_alpha)
+  NODE_SOCKET_API(float, fac)
+  NODE_SOCKET_API(bool, interpolate)
+};
+
+class SetNormalNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(SetNormalNode)
+  NODE_SOCKET_API(float3, direction)
+};
+
+class OSLNode final : public ShaderNode {
+ public:
+  static OSLNode *create(ShaderGraph *graph, size_t num_inputs, const OSLNode *from = NULL);
+  ~OSLNode();
+
+  static void operator delete(void *ptr)
+  {
+    /* Override delete operator to silence new-delete-type-mismatch ASAN warnings
+     * regarding size mismatch in the destructor. This is intentional as we allocate
+     * extra space at the end of the node. */
+    ::operator delete(ptr);
+  }
+  static void operator delete(void *, void *)
+  {
+    /* Deliberately empty placement delete operator, to avoid MSVC warning C4291. */
+  }
+
+  ShaderNode *clone(ShaderGraph *graph) const;
+
+  char *input_default_value();
+  void add_input(ustring name, SocketType::Type type);
+  void add_output(ustring name, SocketType::Type type);
+
+  SHADER_NODE_NO_CLONE_CLASS(OSLNode)
+
+  /* Ideally we could better detect this, but we can't query this now. */
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  bool has_volume_support()
+  {
+    return true;
+  }
+
+  virtual bool equals(const ShaderNode & /*other*/)
+  {
+    return false;
+  }
+
+  string filepath;
+  string bytecode_hash;
+};
+
+class NormalMapNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(NormalMapNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(NodeNormalMapSpace, space)
+  NODE_SOCKET_API(ustring, attribute)
+  NODE_SOCKET_API(float, strength)
+  NODE_SOCKET_API(float3, color)
+  NODE_SOCKET_API(float3, normal_osl)
+};
+
+class TangentNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(TangentNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+
+  NODE_SOCKET_API(NodeTangentDirectionType, direction_type)
+  NODE_SOCKET_API(NodeTangentAxis, axis)
+  NODE_SOCKET_API(ustring, attribute)
+  NODE_SOCKET_API(float3, normal_osl)
+};
+
+class BevelNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(BevelNode)
+  bool has_spatial_varying()
+  {
+    return true;
+  }
+  virtual int get_feature()
+  {
+    return KERNEL_FEATURE_NODE_RAYTRACE;
+  }
+
+  NODE_SOCKET_API(float, radius)
+  NODE_SOCKET_API(float3, normal)
+  NODE_SOCKET_API(int, samples)
+};
+
+class DisplacementNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(DisplacementNode)
+  void constant_fold(const ConstantFolder &folder);
+  virtual int get_feature()
+  {
+    return KERNEL_FEATURE_NODE_BUMP;
+  }
+
+  NODE_SOCKET_API(NodeNormalMapSpace, space)
+  NODE_SOCKET_API(float, height)
+  NODE_SOCKET_API(float, midlevel)
+  NODE_SOCKET_API(float, scale)
+  NODE_SOCKET_API(float3, normal)
+};
+
+class VectorDisplacementNode : public ShaderNode {
+ public:
+  SHADER_NODE_CLASS(VectorDisplacementNode)
+  void attributes(Shader *shader, AttributeRequestSet *attributes);
+  bool has_attribute_dependency()
+  {
+    return true;
+  }
+  void constant_fold(const ConstantFolder &folder);
+  virtual int get_feature()
+  {
+    return KERNEL_FEATURE_NODE_BUMP;
+  }
+
+  NODE_SOCKET_API(NodeNormalMapSpace, space)
+  NODE_SOCKET_API(ustring, attribute)
+  NODE_SOCKET_API(float3, vector)
+  NODE_SOCKET_API(float, midlevel)
+  NODE_SOCKET_API(float, scale)
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __NODES_H__ */
diff --git a/intern/cycles/scene/sobol.cpp b/intern/cycles/scene/sobol.cpp
new file mode 100644
index 00000000000..397c28814ca
--- /dev/null
+++ b/intern/cycles/scene/sobol.cpp
@@ -0,0 +1,94 @@
+/*
+ * Sobol sequence direction vectors.
+ *
+ * This file contains code to create direction vectors for generating sobol
+ * sequences in high dimensions. It is adapted from code on this webpage:
+ *
+ * http://web.maths.unsw.edu.au/~fkuo/sobol/
+ *
+ * From these papers:
+ *
+ * S. Joe and F. Y. Kuo, Remark on Algorithm 659: Implementing Sobol's quasirandom
+ * sequence generator, ACM Trans. Math. Softw. 29, 49-57 (2003)
+ *
+ * S. Joe and F. Y. Kuo, Constructing Sobol sequences with better two-dimensional
+ * projections, SIAM J. Sci. Comput. 30, 2635-2654 (2008)
+ */
+
+/* Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *
+ *     * Redistributions of source code must retain the above copyright
+ *       notice, this list of conditions and the following disclaimer.
+ *
+ *     * Redistributions in binary form must reproduce the above copyright
+ *       notice, this list of conditions and the following disclaimer in the
+ *       documentation and/or other materials provided with the distribution.
+ *
+ *     * Neither the names of the copyright holders nor the names of the
+ *       University of New South Wales and the University of Waikato
+ *       and its contributors may be used to endorse or promote products derived
+ *       from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
+ * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "util/util_types.h"
+
+#include "scene/sobol.h"
+
+CCL_NAMESPACE_BEGIN
+
+#include "sobol.tables"
+
+void sobol_generate_direction_vectors(uint vectors[][SOBOL_BITS], int dimensions)
+{
+  assert(dimensions <= SOBOL_MAX_DIMENSIONS);
+
+  const uint L = SOBOL_BITS;
+
+  /* first dimension is exception */
+  uint *v = vectors[0];
+
+  for (uint i = 0; i < L; i++)
+    v[i] = 1 << (31 - i);  // all m's = 1
+
+  for (int dim = 1; dim < dimensions; dim++) {
+    const SobolDirectionNumbers *numbers = &SOBOL_NUMBERS[dim - 1];
+    const uint s = numbers->s;
+    const uint a = numbers->a;
+    const uint *m = numbers->m;
+
+    v = vectors[dim];
+
+    if (L <= s) {
+      for (uint i = 0; i < L; i++)
+        v[i] = m[i] << (31 - i);
+    }
+    else {
+      for (uint i = 0; i < s; i++)
+        v[i] = m[i] << (31 - i);
+
+      for (uint i = s; i < L; i++) {
+        v[i] = v[i - s] ^ (v[i - s] >> s);
+
+        for (uint k = 1; k < s; k++)
+          v[i] ^= (((a >> (s - 1 - k)) & 1) * v[i - k]);
+      }
+    }
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/sobol.h b/intern/cycles/scene/sobol.h
new file mode 100644
index 00000000000..d38857d2b35
--- /dev/null
+++ b/intern/cycles/scene/sobol.h
@@ -0,0 +1,31 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __SOBOL_H__
+#define __SOBOL_H__
+
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+#define SOBOL_BITS 32
+#define SOBOL_MAX_DIMENSIONS 21201
+
+void sobol_generate_direction_vectors(uint vectors[][SOBOL_BITS], int dimensions);
+
+CCL_NAMESPACE_END
+
+#endif /* __SOBOL_H__ */
diff --git a/intern/cycles/scene/sobol.tables b/intern/cycles/scene/sobol.tables
new file mode 100644
index 00000000000..24f174dfae2
--- /dev/null
+++ b/intern/cycles/scene/sobol.tables
@@ -0,0 +1,21258 @@
+/*
+ * Sobol sequence direction vectors.
+ *
+ * This file contains code to create direction vectors for generating sobol
+ * sequences in high dimensions. It is adapted from code on this webpage:
+ *
+ * http://web.maths.unsw.edu.au/~fkuo/sobol/
+ *
+ * From these papers:
+ *
+ * S. Joe and F. Y. Kuo, Remark on Algorithm 659: Implementing Sobol's quasirandom
+ * sequence generator, ACM Trans. Math. Softw. 29, 49-57 (2003)
+ *
+ * S. Joe and F. Y. Kuo, Constructing Sobol sequences with better two-dimensional
+ * projections, SIAM J. Sci. Comput. 30, 2635-2654 (2008)
+ */
+
+/* Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *
+ *     * Redistributions of source code must retain the above copyright
+ *       notice, this list of conditions and the following disclaimer.
+ *
+ *     * Redistributions in binary form must reproduce the above copyright
+ *       notice, this list of conditions and the following disclaimer in the
+ *       documentation and/or other materials provided with the distribution.
+ *
+ *     * Neither the names of the copyright holders nor the names of the
+ *       University of New South Wales and the University of Waikato
+ *       and its contributors may be used to endorse or promote products derived
+ *       from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
+ * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/* Note: this file has a non-standard extension so it is skipped by clang-format. */
+
+#define SOBOL_MAX_NUMBER 32
+
+typedef struct SobolDirectionNumbers {
+  uint d, s, a;
+  uint m[SOBOL_MAX_NUMBER];
+} SobolDirectionNumbers;
+
+static const SobolDirectionNumbers SOBOL_NUMBERS[SOBOL_MAX_DIMENSIONS - 1] = {
+{2, 1, 0, {1}},
+{3, 2, 1, {1, 3}},
+{4, 3, 1, {1, 3, 1}},
+{5, 3, 2, {1, 1, 1}},
+{6, 4, 1, {1, 1, 3, 3}},
+{7, 4, 4, {1, 3, 5, 13}},
+{8, 5, 2, {1, 1, 5, 5, 17}},
+{9, 5, 4, {1, 1, 5, 5, 5}},
+{10, 5, 7, {1, 1, 7, 11, 19}},
+{11, 5, 11, {1, 1, 5, 1, 1}},
+{12, 5, 13, {1, 1, 1, 3, 11}},
+{13, 5, 14, {1, 3, 5, 5, 31}},
+{14, 6, 1, {1, 3, 3, 9, 7, 49}},
+{15, 6, 13, {1, 1, 1, 15, 21, 21}},
+{16, 6, 16, {1, 3, 1, 13, 27, 49}},
+{17, 6, 19, {1, 1, 1, 15, 7, 5}},
+{18, 6, 22, {1, 3, 1, 15, 13, 25}},
+{19, 6, 25, {1, 1, 5, 5, 19, 61}},
+{20, 7, 1, {1, 3, 7, 11, 23, 15, 103}},
+{21, 7, 4, {1, 3, 7, 13, 13, 15, 69}},
+{22, 7, 7, {1, 1, 3, 13, 7, 35, 63}},
+{23, 7, 8, {1, 3, 5, 9, 1, 25, 53}},
+{24, 7, 14, {1, 3, 1, 13, 9, 35, 107}},
+{25, 7, 19, {1, 3, 1, 5, 27, 61, 31}},
+{26, 7, 21, {1, 1, 5, 11, 19, 41, 61}},
+{27, 7, 28, {1, 3, 5, 3, 3, 13, 69}},
+{28, 7, 31, {1, 1, 7, 13, 1, 19, 1}},
+{29, 7, 32, {1, 3, 7, 5, 13, 19, 59}},
+{30, 7, 37, {1, 1, 3, 9, 25, 29, 41}},
+{31, 7, 41, {1, 3, 5, 13, 23, 1, 55}},
+{32, 7, 42, {1, 3, 7, 3, 13, 59, 17}},
+{33, 7, 50, {1, 3, 1, 3, 5, 53, 69}},
+{34, 7, 55, {1, 1, 5, 5, 23, 33, 13}},
+{35, 7, 56, {1, 1, 7, 7, 1, 61, 123}},
+{36, 7, 59, {1, 1, 7, 9, 13, 61, 49}},
+{37, 7, 62, {1, 3, 3, 5, 3, 55, 33}},
+{38, 8, 14, {1, 3, 1, 15, 31, 13, 49, 245}},
+{39, 8, 21, {1, 3, 5, 15, 31, 59, 63, 97}},
+{40, 8, 22, {1, 3, 1, 11, 11, 11, 77, 249}},
+{41, 8, 38, {1, 3, 1, 11, 27, 43, 71, 9}},
+{42, 8, 47, {1, 1, 7, 15, 21, 11, 81, 45}},
+{43, 8, 49, {1, 3, 7, 3, 25, 31, 65, 79}},
+{44, 8, 50, {1, 3, 1, 1, 19, 11, 3, 205}},
+{45, 8, 52, {1, 1, 5, 9, 19, 21, 29, 157}},
+{46, 8, 56, {1, 3, 7, 11, 1, 33, 89, 185}},
+{47, 8, 67, {1, 3, 3, 3, 15, 9, 79, 71}},
+{48, 8, 70, {1, 3, 7, 11, 15, 39, 119, 27}},
+{49, 8, 84, {1, 1, 3, 1, 11, 31, 97, 225}},
+{50, 8, 97, {1, 1, 1, 3, 23, 43, 57, 177}},
+{51, 8, 103, {1, 3, 7, 7, 17, 17, 37, 71}},
+{52, 8, 115, {1, 3, 1, 5, 27, 63, 123, 213}},
+{53, 8, 122, {1, 1, 3, 5, 11, 43, 53, 133}},
+{54, 9, 8, {1, 3, 5, 5, 29, 17, 47, 173, 479}},
+{55, 9, 13, {1, 3, 3, 11, 3, 1, 109, 9, 69}},
+{56, 9, 16, {1, 1, 1, 5, 17, 39, 23, 5, 343}},
+{57, 9, 22, {1, 3, 1, 5, 25, 15, 31, 103, 499}},
+{58, 9, 25, {1, 1, 1, 11, 11, 17, 63, 105, 183}},
+{59, 9, 44, {1, 1, 5, 11, 9, 29, 97, 231, 363}},
+{60, 9, 47, {1, 1, 5, 15, 19, 45, 41, 7, 383}},
+{61, 9, 52, {1, 3, 7, 7, 31, 19, 83, 137, 221}},
+{62, 9, 55, {1, 1, 1, 3, 23, 15, 111, 223, 83}},
+{63, 9, 59, {1, 1, 5, 13, 31, 15, 55, 25, 161}},
+{64, 9, 62, {1, 1, 3, 13, 25, 47, 39, 87, 257}},
+{65, 9, 67, {1, 1, 1, 11, 21, 53, 125, 249, 293}},
+{66, 9, 74, {1, 1, 7, 11, 11, 7, 57, 79, 323}},
+{67, 9, 81, {1, 1, 5, 5, 17, 13, 81, 3, 131}},
+{68, 9, 82, {1, 1, 7, 13, 23, 7, 65, 251, 475}},
+{69, 9, 87, {1, 3, 5, 1, 9, 43, 3, 149, 11}},
+{70, 9, 91, {1, 1, 3, 13, 31, 13, 13, 255, 487}},
+{71, 9, 94, {1, 3, 3, 1, 5, 63, 89, 91, 127}},
+{72, 9, 103, {1, 1, 3, 3, 1, 19, 123, 127, 237}},
+{73, 9, 104, {1, 1, 5, 7, 23, 31, 37, 243, 289}},
+{74, 9, 109, {1, 1, 5, 11, 17, 53, 117, 183, 491}},
+{75, 9, 122, {1, 1, 1, 5, 1, 13, 13, 209, 345}},
+{76, 9, 124, {1, 1, 3, 15, 1, 57, 115, 7, 33}},
+{77, 9, 137, {1, 3, 1, 11, 7, 43, 81, 207, 175}},
+{78, 9, 138, {1, 3, 1, 1, 15, 27, 63, 255, 49}},
+{79, 9, 143, {1, 3, 5, 3, 27, 61, 105, 171, 305}},
+{80, 9, 145, {1, 1, 5, 3, 1, 3, 57, 249, 149}},
+{81, 9, 152, {1, 1, 3, 5, 5, 57, 15, 13, 159}},
+{82, 9, 157, {1, 1, 1, 11, 7, 11, 105, 141, 225}},
+{83, 9, 167, {1, 3, 3, 5, 27, 59, 121, 101, 271}},
+{84, 9, 173, {1, 3, 5, 9, 11, 49, 51, 59, 115}},
+{85, 9, 176, {1, 1, 7, 1, 23, 45, 125, 71, 419}},
+{86, 9, 181, {1, 1, 3, 5, 23, 5, 105, 109, 75}},
+{87, 9, 182, {1, 1, 7, 15, 7, 11, 67, 121, 453}},
+{88, 9, 185, {1, 3, 7, 3, 9, 13, 31, 27, 449}},
+{89, 9, 191, {1, 3, 1, 15, 19, 39, 39, 89, 15}},
+{90, 9, 194, {1, 1, 1, 1, 1, 33, 73, 145, 379}},
+{91, 9, 199, {1, 3, 1, 15, 15, 43, 29, 13, 483}},
+{92, 9, 218, {1, 1, 7, 3, 19, 27, 85, 131, 431}},
+{93, 9, 220, {1, 3, 3, 3, 5, 35, 23, 195, 349}},
+{94, 9, 227, {1, 3, 3, 7, 9, 27, 39, 59, 297}},
+{95, 9, 229, {1, 1, 3, 9, 11, 17, 13, 241, 157}},
+{96, 9, 230, {1, 3, 7, 15, 25, 57, 33, 189, 213}},
+{97, 9, 234, {1, 1, 7, 1, 9, 55, 73, 83, 217}},
+{98, 9, 236, {1, 3, 3, 13, 19, 27, 23, 113, 249}},
+{99, 9, 241, {1, 3, 5, 3, 23, 43, 3, 253, 479}},
+{100, 9, 244, {1, 1, 5, 5, 11, 5, 45, 117, 217}},
+{101, 9, 253, {1, 3, 3, 7, 29, 37, 33, 123, 147}},
+{102, 10, 4, {1, 3, 1, 15, 5, 5, 37, 227, 223, 459}},
+{103, 10, 13, {1, 1, 7, 5, 5, 39, 63, 255, 135, 487}},
+{104, 10, 19, {1, 3, 1, 7, 9, 7, 87, 249, 217, 599}},
+{105, 10, 22, {1, 1, 3, 13, 9, 47, 7, 225, 363, 247}},
+{106, 10, 50, {1, 3, 7, 13, 19, 13, 9, 67, 9, 737}},
+{107, 10, 55, {1, 3, 5, 5, 19, 59, 7, 41, 319, 677}},
+{108, 10, 64, {1, 1, 5, 3, 31, 63, 15, 43, 207, 789}},
+{109, 10, 69, {1, 1, 7, 9, 13, 39, 3, 47, 497, 169}},
+{110, 10, 98, {1, 3, 1, 7, 21, 17, 97, 19, 415, 905}},
+{111, 10, 107, {1, 3, 7, 1, 3, 31, 71, 111, 165, 127}},
+{112, 10, 115, {1, 1, 5, 11, 1, 61, 83, 119, 203, 847}},
+{113, 10, 121, {1, 3, 3, 13, 9, 61, 19, 97, 47, 35}},
+{114, 10, 127, {1, 1, 7, 7, 15, 29, 63, 95, 417, 469}},
+{115, 10, 134, {1, 3, 1, 9, 25, 9, 71, 57, 213, 385}},
+{116, 10, 140, {1, 3, 5, 13, 31, 47, 101, 57, 39, 341}},
+{117, 10, 145, {1, 1, 3, 3, 31, 57, 125, 173, 365, 551}},
+{118, 10, 152, {1, 3, 7, 1, 13, 57, 67, 157, 451, 707}},
+{119, 10, 158, {1, 1, 1, 7, 21, 13, 105, 89, 429, 965}},
+{120, 10, 161, {1, 1, 5, 9, 17, 51, 45, 119, 157, 141}},
+{121, 10, 171, {1, 3, 7, 7, 13, 45, 91, 9, 129, 741}},
+{122, 10, 181, {1, 3, 7, 1, 23, 57, 67, 141, 151, 571}},
+{123, 10, 194, {1, 1, 3, 11, 17, 47, 93, 107, 375, 157}},
+{124, 10, 199, {1, 3, 3, 5, 11, 21, 43, 51, 169, 915}},
+{125, 10, 203, {1, 1, 5, 3, 15, 55, 101, 67, 455, 625}},
+{126, 10, 208, {1, 3, 5, 9, 1, 23, 29, 47, 345, 595}},
+{127, 10, 227, {1, 3, 7, 7, 5, 49, 29, 155, 323, 589}},
+{128, 10, 242, {1, 3, 3, 7, 5, 41, 127, 61, 261, 717}},
+{129, 10, 251, {1, 3, 7, 7, 17, 23, 117, 67, 129, 1009}},
+{130, 10, 253, {1, 1, 3, 13, 11, 39, 21, 207, 123, 305}},
+{131, 10, 265, {1, 1, 3, 9, 29, 3, 95, 47, 231, 73}},
+{132, 10, 266, {1, 3, 1, 9, 1, 29, 117, 21, 441, 259}},
+{133, 10, 274, {1, 3, 1, 13, 21, 39, 125, 211, 439, 723}},
+{134, 10, 283, {1, 1, 7, 3, 17, 63, 115, 89, 49, 773}},
+{135, 10, 289, {1, 3, 7, 13, 11, 33, 101, 107, 63, 73}},
+{136, 10, 295, {1, 1, 5, 5, 13, 57, 63, 135, 437, 177}},
+{137, 10, 301, {1, 1, 3, 7, 27, 63, 93, 47, 417, 483}},
+{138, 10, 316, {1, 1, 3, 1, 23, 29, 1, 191, 49, 23}},
+{139, 10, 319, {1, 1, 3, 15, 25, 55, 9, 101, 219, 607}},
+{140, 10, 324, {1, 3, 1, 7, 7, 19, 51, 251, 393, 307}},
+{141, 10, 346, {1, 3, 3, 3, 25, 55, 17, 75, 337, 3}},
+{142, 10, 352, {1, 1, 1, 13, 25, 17, 65, 45, 479, 413}},
+{143, 10, 361, {1, 1, 7, 7, 27, 49, 99, 161, 213, 727}},
+{144, 10, 367, {1, 3, 5, 1, 23, 5, 43, 41, 251, 857}},
+{145, 10, 382, {1, 3, 3, 7, 11, 61, 39, 87, 383, 835}},
+{146, 10, 395, {1, 1, 3, 15, 13, 7, 29, 7, 505, 923}},
+{147, 10, 398, {1, 3, 7, 1, 5, 31, 47, 157, 445, 501}},
+{148, 10, 400, {1, 1, 3, 7, 1, 43, 9, 147, 115, 605}},
+{149, 10, 412, {1, 3, 3, 13, 5, 1, 119, 211, 455, 1001}},
+{150, 10, 419, {1, 1, 3, 5, 13, 19, 3, 243, 75, 843}},
+{151, 10, 422, {1, 3, 7, 7, 1, 19, 91, 249, 357, 589}},
+{152, 10, 426, {1, 1, 1, 9, 1, 25, 109, 197, 279, 411}},
+{153, 10, 428, {1, 3, 1, 15, 23, 57, 59, 135, 191, 75}},
+{154, 10, 433, {1, 1, 5, 15, 29, 21, 39, 253, 383, 349}},
+{155, 10, 446, {1, 3, 3, 5, 19, 45, 61, 151, 199, 981}},
+{156, 10, 454, {1, 3, 5, 13, 9, 61, 107, 141, 141, 1}},
+{157, 10, 457, {1, 3, 1, 11, 27, 25, 85, 105, 309, 979}},
+{158, 10, 472, {1, 3, 3, 11, 19, 7, 115, 223, 349, 43}},
+{159, 10, 493, {1, 1, 7, 9, 21, 39, 123, 21, 275, 927}},
+{160, 10, 505, {1, 1, 7, 13, 15, 41, 47, 243, 303, 437}},
+{161, 10, 508, {1, 1, 1, 7, 7, 3, 15, 99, 409, 719}},
+{162, 11, 2, {1, 3, 3, 15, 27, 49, 113, 123, 113, 67, 469}},
+{163, 11, 11, {1, 3, 7, 11, 3, 23, 87, 169, 119, 483, 199}},
+{164, 11, 21, {1, 1, 5, 15, 7, 17, 109, 229, 179, 213, 741}},
+{165, 11, 22, {1, 1, 5, 13, 11, 17, 25, 135, 403, 557, 1433}},
+{166, 11, 35, {1, 3, 1, 1, 1, 61, 67, 215, 189, 945, 1243}},
+{167, 11, 49, {1, 1, 7, 13, 17, 33, 9, 221, 429, 217, 1679}},
+{168, 11, 50, {1, 1, 3, 11, 27, 3, 15, 93, 93, 865, 1049}},
+{169, 11, 56, {1, 3, 7, 7, 25, 41, 121, 35, 373, 379, 1547}},
+{170, 11, 61, {1, 3, 3, 9, 11, 35, 45, 205, 241, 9, 59}},
+{171, 11, 70, {1, 3, 1, 7, 3, 51, 7, 177, 53, 975, 89}},
+{172, 11, 74, {1, 1, 3, 5, 27, 1, 113, 231, 299, 759, 861}},
+{173, 11, 79, {1, 3, 3, 15, 25, 29, 5, 255, 139, 891, 2031}},
+{174, 11, 84, {1, 3, 1, 1, 13, 9, 109, 193, 419, 95, 17}},
+{175, 11, 88, {1, 1, 7, 9, 3, 7, 29, 41, 135, 839, 867}},
+{176, 11, 103, {1, 1, 7, 9, 25, 49, 123, 217, 113, 909, 215}},
+{177, 11, 104, {1, 1, 7, 3, 23, 15, 43, 133, 217, 327, 901}},
+{178, 11, 112, {1, 1, 3, 3, 13, 53, 63, 123, 477, 711, 1387}},
+{179, 11, 115, {1, 1, 3, 15, 7, 29, 75, 119, 181, 957, 247}},
+{180, 11, 117, {1, 1, 1, 11, 27, 25, 109, 151, 267, 99, 1461}},
+{181, 11, 122, {1, 3, 7, 15, 5, 5, 53, 145, 11, 725, 1501}},
+{182, 11, 134, {1, 3, 7, 1, 9, 43, 71, 229, 157, 607, 1835}},
+{183, 11, 137, {1, 3, 3, 13, 25, 1, 5, 27, 471, 349, 127}},
+{184, 11, 146, {1, 1, 1, 1, 23, 37, 9, 221, 269, 897, 1685}},
+{185, 11, 148, {1, 1, 3, 3, 31, 29, 51, 19, 311, 553, 1969}},
+{186, 11, 157, {1, 3, 7, 5, 5, 55, 17, 39, 475, 671, 1529}},
+{187, 11, 158, {1, 1, 7, 1, 1, 35, 47, 27, 437, 395, 1635}},
+{188, 11, 162, {1, 1, 7, 3, 13, 23, 43, 135, 327, 139, 389}},
+{189, 11, 164, {1, 3, 7, 3, 9, 25, 91, 25, 429, 219, 513}},
+{190, 11, 168, {1, 1, 3, 5, 13, 29, 119, 201, 277, 157, 2043}},
+{191, 11, 173, {1, 3, 5, 3, 29, 57, 13, 17, 167, 739, 1031}},
+{192, 11, 185, {1, 3, 3, 5, 29, 21, 95, 27, 255, 679, 1531}},
+{193, 11, 186, {1, 3, 7, 15, 9, 5, 21, 71, 61, 961, 1201}},
+{194, 11, 191, {1, 3, 5, 13, 15, 57, 33, 93, 459, 867, 223}},
+{195, 11, 193, {1, 1, 1, 15, 17, 43, 127, 191, 67, 177, 1073}},
+{196, 11, 199, {1, 1, 1, 15, 23, 7, 21, 199, 75, 293, 1611}},
+{197, 11, 213, {1, 3, 7, 13, 15, 39, 21, 149, 65, 741, 319}},
+{198, 11, 214, {1, 3, 7, 11, 23, 13, 101, 89, 277, 519, 711}},
+{199, 11, 220, {1, 3, 7, 15, 19, 27, 85, 203, 441, 97, 1895}},
+{200, 11, 227, {1, 3, 1, 3, 29, 25, 21, 155, 11, 191, 197}},
+{201, 11, 236, {1, 1, 7, 5, 27, 11, 81, 101, 457, 675, 1687}},
+{202, 11, 242, {1, 3, 1, 5, 25, 5, 65, 193, 41, 567, 781}},
+{203, 11, 251, {1, 3, 1, 5, 11, 15, 113, 77, 411, 695, 1111}},
+{204, 11, 256, {1, 1, 3, 9, 11, 53, 119, 171, 55, 297, 509}},
+{205, 11, 259, {1, 1, 1, 1, 11, 39, 113, 139, 165, 347, 595}},
+{206, 11, 265, {1, 3, 7, 11, 9, 17, 101, 13, 81, 325, 1733}},
+{207, 11, 266, {1, 3, 1, 1, 21, 43, 115, 9, 113, 907, 645}},
+{208, 11, 276, {1, 1, 7, 3, 9, 25, 117, 197, 159, 471, 475}},
+{209, 11, 292, {1, 3, 1, 9, 11, 21, 57, 207, 485, 613, 1661}},
+{210, 11, 304, {1, 1, 7, 7, 27, 55, 49, 223, 89, 85, 1523}},
+{211, 11, 310, {1, 1, 5, 3, 19, 41, 45, 51, 447, 299, 1355}},
+{212, 11, 316, {1, 3, 1, 13, 1, 33, 117, 143, 313, 187, 1073}},
+{213, 11, 319, {1, 1, 7, 7, 5, 11, 65, 97, 377, 377, 1501}},
+{214, 11, 322, {1, 3, 1, 1, 21, 35, 95, 65, 99, 23, 1239}},
+{215, 11, 328, {1, 1, 5, 9, 3, 37, 95, 167, 115, 425, 867}},
+{216, 11, 334, {1, 3, 3, 13, 1, 37, 27, 189, 81, 679, 773}},
+{217, 11, 339, {1, 1, 3, 11, 1, 61, 99, 233, 429, 969, 49}},
+{218, 11, 341, {1, 1, 1, 7, 25, 63, 99, 165, 245, 793, 1143}},
+{219, 11, 345, {1, 1, 5, 11, 11, 43, 55, 65, 71, 283, 273}},
+{220, 11, 346, {1, 1, 5, 5, 9, 3, 101, 251, 355, 379, 1611}},
+{221, 11, 362, {1, 1, 1, 15, 21, 63, 85, 99, 49, 749, 1335}},
+{222, 11, 367, {1, 1, 5, 13, 27, 9, 121, 43, 255, 715, 289}},
+{223, 11, 372, {1, 3, 1, 5, 27, 19, 17, 223, 77, 571, 1415}},
+{224, 11, 375, {1, 1, 5, 3, 13, 59, 125, 251, 195, 551, 1737}},
+{225, 11, 376, {1, 3, 3, 15, 13, 27, 49, 105, 389, 971, 755}},
+{226, 11, 381, {1, 3, 5, 15, 23, 43, 35, 107, 447, 763, 253}},
+{227, 11, 385, {1, 3, 5, 11, 21, 3, 17, 39, 497, 407, 611}},
+{228, 11, 388, {1, 1, 7, 13, 15, 31, 113, 17, 23, 507, 1995}},
+{229, 11, 392, {1, 1, 7, 15, 3, 15, 31, 153, 423, 79, 503}},
+{230, 11, 409, {1, 1, 7, 9, 19, 25, 23, 171, 505, 923, 1989}},
+{231, 11, 415, {1, 1, 5, 9, 21, 27, 121, 223, 133, 87, 697}},
+{232, 11, 416, {1, 1, 5, 5, 9, 19, 107, 99, 319, 765, 1461}},
+{233, 11, 421, {1, 1, 3, 3, 19, 25, 3, 101, 171, 729, 187}},
+{234, 11, 428, {1, 1, 3, 1, 13, 23, 85, 93, 291, 209, 37}},
+{235, 11, 431, {1, 1, 1, 15, 25, 25, 77, 253, 333, 947, 1073}},
+{236, 11, 434, {1, 1, 3, 9, 17, 29, 55, 47, 255, 305, 2037}},
+{237, 11, 439, {1, 3, 3, 9, 29, 63, 9, 103, 489, 939, 1523}},
+{238, 11, 446, {1, 3, 7, 15, 7, 31, 89, 175, 369, 339, 595}},
+{239, 11, 451, {1, 3, 7, 13, 25, 5, 71, 207, 251, 367, 665}},
+{240, 11, 453, {1, 3, 3, 3, 21, 25, 75, 35, 31, 321, 1603}},
+{241, 11, 457, {1, 1, 1, 9, 11, 1, 65, 5, 11, 329, 535}},
+{242, 11, 458, {1, 1, 5, 3, 19, 13, 17, 43, 379, 485, 383}},
+{243, 11, 471, {1, 3, 5, 13, 13, 9, 85, 147, 489, 787, 1133}},
+{244, 11, 475, {1, 3, 1, 1, 5, 51, 37, 129, 195, 297, 1783}},
+{245, 11, 478, {1, 1, 3, 15, 19, 57, 59, 181, 455, 697, 2033}},
+{246, 11, 484, {1, 3, 7, 1, 27, 9, 65, 145, 325, 189, 201}},
+{247, 11, 493, {1, 3, 1, 15, 31, 23, 19, 5, 485, 581, 539}},
+{248, 11, 494, {1, 1, 7, 13, 11, 15, 65, 83, 185, 847, 831}},
+{249, 11, 499, {1, 3, 5, 7, 7, 55, 73, 15, 303, 511, 1905}},
+{250, 11, 502, {1, 3, 5, 9, 7, 21, 45, 15, 397, 385, 597}},
+{251, 11, 517, {1, 3, 7, 3, 23, 13, 73, 221, 511, 883, 1265}},
+{252, 11, 518, {1, 1, 3, 11, 1, 51, 73, 185, 33, 975, 1441}},
+{253, 11, 524, {1, 3, 3, 9, 19, 59, 21, 39, 339, 37, 143}},
+{254, 11, 527, {1, 1, 7, 1, 31, 33, 19, 167, 117, 635, 639}},
+{255, 11, 555, {1, 1, 1, 3, 5, 13, 59, 83, 355, 349, 1967}},
+{256, 11, 560, {1, 1, 1, 5, 19, 3, 53, 133, 97, 863, 983}},
+{257, 11, 565, {1, 3, 1, 13, 9, 41, 91, 105, 173, 97, 625}},
+{258, 11, 569, {1, 1, 5, 3, 7, 49, 115, 133, 71, 231, 1063}},
+{259, 11, 578, {1, 1, 7, 5, 17, 43, 47, 45, 497, 547, 757}},
+{260, 11, 580, {1, 3, 5, 15, 21, 61, 123, 191, 249, 31, 631}},
+{261, 11, 587, {1, 3, 7, 9, 17, 7, 11, 185, 127, 169, 1951}},
+{262, 11, 589, {1, 1, 5, 13, 11, 11, 9, 49, 29, 125, 791}},
+{263, 11, 590, {1, 1, 1, 15, 31, 41, 13, 167, 273, 429, 57}},
+{264, 11, 601, {1, 3, 5, 3, 27, 7, 35, 209, 65, 265, 1393}},
+{265, 11, 607, {1, 3, 1, 13, 31, 19, 53, 143, 135, 9, 1021}},
+{266, 11, 611, {1, 1, 7, 13, 31, 5, 115, 153, 143, 957, 623}},
+{267, 11, 614, {1, 1, 5, 11, 25, 19, 29, 31, 297, 943, 443}},
+{268, 11, 617, {1, 3, 3, 5, 21, 11, 127, 81, 479, 25, 699}},
+{269, 11, 618, {1, 1, 3, 11, 25, 31, 97, 19, 195, 781, 705}},
+{270, 11, 625, {1, 1, 5, 5, 31, 11, 75, 207, 197, 885, 2037}},
+{271, 11, 628, {1, 1, 1, 11, 9, 23, 29, 231, 307, 17, 1497}},
+{272, 11, 635, {1, 1, 5, 11, 11, 43, 111, 233, 307, 523, 1259}},
+{273, 11, 641, {1, 1, 7, 5, 1, 21, 107, 229, 343, 933, 217}},
+{274, 11, 647, {1, 1, 1, 11, 3, 21, 125, 131, 405, 599, 1469}},
+{275, 11, 654, {1, 3, 5, 5, 9, 39, 33, 81, 389, 151, 811}},
+{276, 11, 659, {1, 1, 7, 7, 7, 1, 59, 223, 265, 529, 2021}},
+{277, 11, 662, {1, 3, 1, 3, 9, 23, 85, 181, 47, 265, 49}},
+{278, 11, 672, {1, 3, 5, 11, 19, 23, 9, 7, 157, 299, 1983}},
+{279, 11, 675, {1, 3, 1, 5, 15, 5, 21, 105, 29, 339, 1041}},
+{280, 11, 682, {1, 1, 1, 1, 5, 33, 65, 85, 111, 705, 479}},
+{281, 11, 684, {1, 1, 1, 7, 9, 35, 77, 87, 151, 321, 101}},
+{282, 11, 689, {1, 1, 5, 7, 17, 1, 51, 197, 175, 811, 1229}},
+{283, 11, 695, {1, 3, 3, 15, 23, 37, 85, 185, 239, 543, 731}},
+{284, 11, 696, {1, 3, 1, 7, 7, 55, 111, 109, 289, 439, 243}},
+{285, 11, 713, {1, 1, 7, 11, 17, 53, 35, 217, 259, 853, 1667}},
+{286, 11, 719, {1, 3, 1, 9, 1, 63, 87, 17, 73, 565, 1091}},
+{287, 11, 724, {1, 1, 3, 3, 11, 41, 1, 57, 295, 263, 1029}},
+{288, 11, 733, {1, 1, 5, 1, 27, 45, 109, 161, 411, 421, 1395}},
+{289, 11, 734, {1, 3, 5, 11, 25, 35, 47, 191, 339, 417, 1727}},
+{290, 11, 740, {1, 1, 5, 15, 21, 1, 93, 251, 351, 217, 1767}},
+{291, 11, 747, {1, 3, 3, 11, 3, 7, 75, 155, 313, 211, 491}},
+{292, 11, 749, {1, 3, 3, 5, 11, 9, 101, 161, 453, 913, 1067}},
+{293, 11, 752, {1, 1, 3, 1, 15, 45, 127, 141, 163, 727, 1597}},
+{294, 11, 755, {1, 3, 3, 7, 1, 33, 63, 73, 73, 341, 1691}},
+{295, 11, 762, {1, 3, 5, 13, 15, 39, 53, 235, 77, 99, 949}},
+{296, 11, 770, {1, 1, 5, 13, 31, 17, 97, 13, 215, 301, 1927}},
+{297, 11, 782, {1, 1, 7, 1, 1, 37, 91, 93, 441, 251, 1131}},
+{298, 11, 784, {1, 3, 7, 9, 25, 5, 105, 69, 81, 943, 1459}},
+{299, 11, 787, {1, 3, 7, 11, 31, 43, 13, 209, 27, 1017, 501}},
+{300, 11, 789, {1, 1, 7, 15, 1, 33, 31, 233, 161, 507, 387}},
+{301, 11, 793, {1, 3, 3, 5, 5, 53, 33, 177, 503, 627, 1927}},
+{302, 11, 796, {1, 1, 7, 11, 7, 61, 119, 31, 457, 229, 1875}},
+{303, 11, 803, {1, 1, 5, 15, 19, 5, 53, 201, 157, 885, 1057}},
+{304, 11, 805, {1, 3, 7, 9, 1, 35, 51, 113, 249, 425, 1009}},
+{305, 11, 810, {1, 3, 5, 7, 21, 53, 37, 155, 119, 345, 631}},
+{306, 11, 815, {1, 3, 5, 7, 15, 31, 109, 69, 503, 595, 1879}},
+{307, 11, 824, {1, 3, 3, 1, 25, 35, 65, 131, 403, 705, 503}},
+{308, 11, 829, {1, 3, 7, 7, 19, 33, 11, 153, 45, 633, 499}},
+{309, 11, 830, {1, 3, 3, 5, 11, 3, 29, 93, 487, 33, 703}},
+{310, 11, 832, {1, 1, 3, 15, 21, 53, 107, 179, 387, 927, 1757}},
+{311, 11, 841, {1, 1, 3, 7, 21, 45, 51, 147, 175, 317, 361}},
+{312, 11, 847, {1, 1, 1, 7, 7, 13, 15, 243, 269, 795, 1965}},
+{313, 11, 849, {1, 1, 3, 5, 19, 33, 57, 115, 443, 537, 627}},
+{314, 11, 861, {1, 3, 3, 9, 3, 39, 25, 61, 185, 717, 1049}},
+{315, 11, 871, {1, 3, 7, 3, 7, 37, 107, 153, 7, 269, 1581}},
+{316, 11, 878, {1, 1, 7, 3, 7, 41, 91, 41, 145, 489, 1245}},
+{317, 11, 889, {1, 1, 5, 9, 7, 7, 105, 81, 403, 407, 283}},
+{318, 11, 892, {1, 1, 7, 9, 27, 55, 29, 77, 193, 963, 949}},
+{319, 11, 901, {1, 1, 5, 3, 25, 51, 107, 63, 403, 917, 815}},
+{320, 11, 908, {1, 1, 7, 3, 7, 61, 19, 51, 457, 599, 535}},
+{321, 11, 920, {1, 3, 7, 1, 23, 51, 105, 153, 239, 215, 1847}},
+{322, 11, 923, {1, 1, 3, 5, 27, 23, 79, 49, 495, 45, 1935}},
+{323, 11, 942, {1, 1, 1, 11, 11, 47, 55, 133, 495, 999, 1461}},
+{324, 11, 949, {1, 1, 3, 15, 27, 51, 93, 17, 355, 763, 1675}},
+{325, 11, 950, {1, 3, 1, 3, 1, 3, 79, 119, 499, 17, 995}},
+{326, 11, 954, {1, 1, 1, 1, 15, 43, 45, 17, 167, 973, 799}},
+{327, 11, 961, {1, 1, 1, 3, 27, 49, 89, 29, 483, 913, 2023}},
+{328, 11, 968, {1, 1, 3, 3, 5, 11, 75, 7, 41, 851, 611}},
+{329, 11, 971, {1, 3, 1, 3, 7, 57, 39, 123, 257, 283, 507}},
+{330, 11, 973, {1, 3, 3, 11, 27, 23, 113, 229, 187, 299, 133}},
+{331, 11, 979, {1, 1, 3, 13, 9, 63, 101, 77, 451, 169, 337}},
+{332, 11, 982, {1, 3, 7, 3, 3, 59, 45, 195, 229, 415, 409}},
+{333, 11, 986, {1, 3, 5, 3, 11, 19, 71, 93, 43, 857, 369}},
+{334, 11, 998, {1, 3, 7, 9, 19, 33, 115, 19, 241, 703, 247}},
+{335, 11, 1001, {1, 3, 5, 11, 5, 35, 21, 155, 463, 1005, 1073}},
+{336, 11, 1010, {1, 3, 7, 3, 25, 15, 109, 83, 93, 69, 1189}},
+{337, 11, 1012, {1, 3, 5, 7, 5, 21, 93, 133, 135, 167, 903}},
+{338, 12, 41, {1, 1, 7, 7, 3, 59, 121, 161, 285, 815, 1769, 3705}},
+{339, 12, 52, {1, 3, 1, 1, 3, 47, 103, 171, 381, 609, 185, 373}},
+{340, 12, 61, {1, 3, 3, 15, 23, 33, 107, 131, 441, 445, 689, 2059}},
+{341, 12, 62, {1, 3, 3, 11, 7, 53, 101, 167, 435, 803, 1255, 3781}},
+{342, 12, 76, {1, 1, 5, 11, 15, 59, 41, 19, 135, 835, 1263, 505}},
+{343, 12, 104, {1, 1, 7, 11, 21, 49, 23, 219, 127, 961, 1065, 385}},
+{344, 12, 117, {1, 3, 5, 15, 7, 47, 117, 217, 45, 731, 1639, 733}},
+{345, 12, 131, {1, 1, 7, 11, 27, 57, 91, 87, 81, 35, 1269, 1007}},
+{346, 12, 143, {1, 1, 3, 11, 15, 37, 53, 219, 193, 937, 1899, 3733}},
+{347, 12, 145, {1, 3, 5, 3, 13, 11, 27, 19, 199, 393, 965, 2195}},
+{348, 12, 157, {1, 3, 1, 3, 5, 1, 37, 173, 413, 1023, 553, 409}},
+{349, 12, 167, {1, 3, 1, 7, 15, 29, 123, 95, 255, 373, 1799, 3841}},
+{350, 12, 171, {1, 3, 5, 13, 21, 57, 51, 17, 511, 195, 1157, 1831}},
+{351, 12, 176, {1, 1, 1, 15, 29, 19, 7, 73, 295, 519, 587, 3523}},
+{352, 12, 181, {1, 1, 5, 13, 13, 35, 115, 191, 123, 535, 717, 1661}},
+{353, 12, 194, {1, 3, 3, 5, 23, 21, 47, 251, 379, 921, 1119, 297}},
+{354, 12, 217, {1, 3, 3, 9, 29, 53, 121, 201, 135, 193, 523, 2943}},
+{355, 12, 236, {1, 1, 1, 7, 29, 45, 125, 9, 99, 867, 425, 601}},
+{356, 12, 239, {1, 3, 1, 9, 13, 15, 67, 181, 109, 293, 1305, 3079}},
+{357, 12, 262, {1, 3, 3, 9, 5, 35, 15, 209, 305, 87, 767, 2795}},
+{358, 12, 283, {1, 3, 3, 11, 27, 57, 113, 123, 179, 643, 149, 523}},
+{359, 12, 286, {1, 1, 3, 15, 11, 17, 67, 223, 63, 657, 335, 3309}},
+{360, 12, 307, {1, 1, 1, 9, 25, 29, 109, 159, 39, 513, 571, 1761}},
+{361, 12, 313, {1, 1, 3, 1, 5, 63, 75, 19, 455, 601, 123, 691}},
+{362, 12, 319, {1, 1, 1, 3, 21, 5, 45, 169, 377, 513, 1951, 2565}},
+{363, 12, 348, {1, 1, 3, 11, 3, 33, 119, 69, 253, 907, 805, 1449}},
+{364, 12, 352, {1, 1, 5, 13, 31, 15, 17, 7, 499, 61, 687, 1867}},
+{365, 12, 357, {1, 3, 7, 11, 17, 33, 73, 77, 299, 243, 641, 2345}},
+{366, 12, 391, {1, 1, 7, 11, 9, 35, 31, 235, 359, 647, 379, 1161}},
+{367, 12, 398, {1, 3, 3, 15, 31, 25, 5, 67, 33, 45, 437, 4067}},
+{368, 12, 400, {1, 1, 3, 11, 7, 17, 37, 87, 333, 253, 1517, 2921}},
+{369, 12, 412, {1, 1, 7, 15, 7, 15, 107, 189, 153, 769, 1521, 3427}},
+{370, 12, 415, {1, 3, 5, 13, 5, 61, 113, 37, 293, 393, 113, 43}},
+{371, 12, 422, {1, 1, 1, 15, 29, 43, 107, 31, 167, 147, 301, 1021}},
+{372, 12, 440, {1, 1, 1, 13, 3, 1, 35, 93, 195, 181, 2027, 1491}},
+{373, 12, 460, {1, 3, 3, 3, 13, 33, 77, 199, 153, 221, 1699, 3671}},
+{374, 12, 465, {1, 3, 5, 13, 7, 49, 123, 155, 495, 681, 819, 809}},
+{375, 12, 468, {1, 3, 5, 15, 27, 61, 117, 189, 183, 887, 617, 4053}},
+{376, 12, 515, {1, 1, 1, 7, 31, 59, 125, 235, 389, 369, 447, 1039}},
+{377, 12, 536, {1, 3, 5, 1, 5, 39, 115, 89, 249, 377, 431, 3747}},
+{378, 12, 539, {1, 1, 1, 5, 7, 47, 59, 157, 77, 445, 699, 3439}},
+{379, 12, 551, {1, 1, 3, 5, 11, 21, 19, 75, 11, 599, 1575, 735}},
+{380, 12, 558, {1, 3, 5, 3, 19, 13, 41, 69, 199, 143, 1761, 3215}},
+{381, 12, 563, {1, 3, 5, 7, 19, 43, 25, 41, 41, 11, 1647, 2783}},
+{382, 12, 570, {1, 3, 1, 9, 19, 45, 111, 97, 405, 399, 457, 3219}},
+{383, 12, 595, {1, 1, 3, 1, 23, 15, 65, 121, 59, 985, 829, 2259}},
+{384, 12, 598, {1, 1, 3, 7, 17, 13, 107, 229, 75, 551, 1299, 2363}},
+{385, 12, 617, {1, 1, 5, 5, 21, 57, 23, 199, 509, 139, 2007, 3875}},
+{386, 12, 647, {1, 3, 1, 11, 19, 53, 15, 229, 215, 741, 695, 823}},
+{387, 12, 654, {1, 3, 7, 1, 29, 3, 17, 163, 417, 559, 549, 319}},
+{388, 12, 678, {1, 3, 1, 13, 17, 9, 47, 133, 365, 7, 1937, 1071}},
+{389, 12, 713, {1, 3, 5, 7, 19, 37, 55, 163, 301, 249, 689, 2327}},
+{390, 12, 738, {1, 3, 5, 13, 11, 23, 61, 205, 257, 377, 615, 1457}},
+{391, 12, 747, {1, 3, 5, 1, 23, 37, 13, 75, 331, 495, 579, 3367}},
+{392, 12, 750, {1, 1, 1, 9, 1, 23, 49, 129, 475, 543, 883, 2531}},
+{393, 12, 757, {1, 3, 1, 5, 23, 59, 51, 35, 343, 695, 219, 369}},
+{394, 12, 772, {1, 3, 3, 1, 27, 17, 63, 97, 71, 507, 1929, 613}},
+{395, 12, 803, {1, 1, 5, 1, 21, 31, 11, 109, 247, 409, 1817, 2173}},
+{396, 12, 810, {1, 1, 3, 15, 23, 9, 7, 209, 301, 23, 147, 1691}},
+{397, 12, 812, {1, 1, 7, 5, 5, 19, 37, 229, 249, 277, 1115, 2309}},
+{398, 12, 850, {1, 1, 1, 5, 5, 63, 5, 249, 285, 431, 343, 2467}},
+{399, 12, 862, {1, 1, 1, 11, 7, 45, 35, 75, 505, 537, 29, 2919}},
+{400, 12, 906, {1, 3, 5, 15, 11, 39, 15, 63, 263, 9, 199, 445}},
+{401, 12, 908, {1, 3, 3, 3, 27, 63, 53, 171, 227, 63, 1049, 827}},
+{402, 12, 929, {1, 1, 3, 13, 7, 11, 115, 183, 179, 937, 1785, 381}},
+{403, 12, 930, {1, 3, 1, 11, 13, 15, 107, 81, 53, 295, 1785, 3757}},
+{404, 12, 954, {1, 3, 3, 13, 11, 5, 109, 243, 3, 505, 323, 1373}},
+{405, 12, 964, {1, 3, 3, 11, 21, 51, 17, 177, 381, 937, 1263, 3889}},
+{406, 12, 982, {1, 3, 5, 9, 27, 25, 85, 193, 143, 573, 1189, 2995}},
+{407, 12, 985, {1, 3, 5, 11, 13, 9, 81, 21, 159, 953, 91, 1751}},
+{408, 12, 991, {1, 1, 3, 3, 27, 61, 11, 253, 391, 333, 1105, 635}},
+{409, 12, 992, {1, 3, 3, 15, 9, 57, 95, 81, 419, 735, 251, 1141}},
+{410, 12, 1067, {1, 1, 5, 9, 31, 39, 59, 13, 319, 807, 1241, 2433}},
+{411, 12, 1070, {1, 3, 3, 5, 27, 13, 107, 141, 423, 937, 2027, 3233}},
+{412, 12, 1096, {1, 3, 3, 9, 9, 25, 125, 23, 443, 835, 1245, 847}},
+{413, 12, 1099, {1, 1, 7, 15, 17, 17, 83, 107, 411, 285, 847, 1571}},
+{414, 12, 1116, {1, 1, 3, 13, 29, 61, 37, 81, 349, 727, 1453, 1957}},
+{415, 12, 1143, {1, 3, 7, 11, 31, 13, 59, 77, 273, 591, 1265, 1533}},
+{416, 12, 1165, {1, 1, 7, 7, 13, 17, 25, 25, 187, 329, 347, 1473}},
+{417, 12, 1178, {1, 3, 7, 7, 5, 51, 37, 99, 221, 153, 503, 2583}},
+{418, 12, 1184, {1, 3, 1, 13, 19, 27, 11, 69, 181, 479, 1183, 3229}},
+{419, 12, 1202, {1, 3, 3, 13, 23, 21, 103, 147, 323, 909, 947, 315}},
+{420, 12, 1213, {1, 3, 1, 3, 23, 1, 31, 59, 93, 513, 45, 2271}},
+{421, 12, 1221, {1, 3, 5, 1, 7, 43, 109, 59, 231, 41, 1515, 2385}},
+{422, 12, 1240, {1, 3, 1, 5, 31, 57, 49, 223, 283, 1013, 11, 701}},
+{423, 12, 1246, {1, 1, 5, 1, 19, 53, 55, 31, 31, 299, 495, 693}},
+{424, 12, 1252, {1, 3, 3, 9, 5, 33, 77, 253, 427, 791, 731, 1019}},
+{425, 12, 1255, {1, 3, 7, 11, 1, 9, 119, 203, 53, 877, 1707, 3499}},
+{426, 12, 1267, {1, 1, 3, 7, 13, 39, 55, 159, 423, 113, 1653, 3455}},
+{427, 12, 1293, {1, 1, 3, 5, 21, 47, 51, 59, 55, 411, 931, 251}},
+{428, 12, 1301, {1, 3, 7, 3, 31, 25, 81, 115, 405, 239, 741, 455}},
+{429, 12, 1305, {1, 1, 5, 1, 31, 3, 101, 83, 479, 491, 1779, 2225}},
+{430, 12, 1332, {1, 3, 3, 3, 9, 37, 107, 161, 203, 503, 767, 3435}},
+{431, 12, 1349, {1, 3, 7, 9, 1, 27, 61, 119, 233, 39, 1375, 4089}},
+{432, 12, 1384, {1, 1, 5, 9, 1, 31, 45, 51, 369, 587, 383, 2813}},
+{433, 12, 1392, {1, 3, 7, 5, 31, 7, 49, 119, 487, 591, 1627, 53}},
+{434, 12, 1402, {1, 1, 7, 1, 9, 47, 1, 223, 369, 711, 1603, 1917}},
+{435, 12, 1413, {1, 3, 5, 3, 21, 37, 111, 17, 483, 739, 1193, 2775}},
+{436, 12, 1417, {1, 3, 3, 7, 17, 11, 51, 117, 455, 191, 1493, 3821}},
+{437, 12, 1423, {1, 1, 5, 9, 23, 39, 99, 181, 343, 485, 99, 1931}},
+{438, 12, 1451, {1, 3, 1, 7, 29, 49, 31, 71, 489, 527, 1763, 2909}},
+{439, 12, 1480, {1, 1, 5, 11, 5, 5, 73, 189, 321, 57, 1191, 3685}},
+{440, 12, 1491, {1, 1, 5, 15, 13, 45, 125, 207, 371, 415, 315, 983}},
+{441, 12, 1503, {1, 3, 3, 5, 25, 59, 33, 31, 239, 919, 1859, 2709}},
+{442, 12, 1504, {1, 3, 5, 13, 27, 61, 23, 115, 61, 413, 1275, 3559}},
+{443, 12, 1513, {1, 3, 7, 15, 5, 59, 101, 81, 47, 967, 809, 3189}},
+{444, 12, 1538, {1, 1, 5, 11, 31, 15, 39, 25, 173, 505, 809, 2677}},
+{445, 12, 1544, {1, 1, 5, 9, 19, 13, 95, 89, 511, 127, 1395, 2935}},
+{446, 12, 1547, {1, 1, 5, 5, 31, 45, 9, 57, 91, 303, 1295, 3215}},
+{447, 12, 1555, {1, 3, 3, 3, 19, 15, 113, 187, 217, 489, 1285, 1803}},
+{448, 12, 1574, {1, 1, 3, 1, 13, 29, 57, 139, 255, 197, 537, 2183}},
+{449, 12, 1603, {1, 3, 1, 15, 11, 7, 53, 255, 467, 9, 757, 3167}},
+{450, 12, 1615, {1, 3, 3, 15, 21, 13, 9, 189, 359, 323, 49, 333}},
+{451, 12, 1618, {1, 3, 7, 11, 7, 37, 21, 119, 401, 157, 1659, 1069}},
+{452, 12, 1629, {1, 1, 5, 7, 17, 33, 115, 229, 149, 151, 2027, 279}},
+{453, 12, 1634, {1, 1, 5, 15, 5, 49, 77, 155, 383, 385, 1985, 945}},
+{454, 12, 1636, {1, 3, 7, 3, 7, 55, 85, 41, 357, 527, 1715, 1619}},
+{455, 12, 1639, {1, 1, 3, 1, 21, 45, 115, 21, 199, 967, 1581, 3807}},
+{456, 12, 1657, {1, 1, 3, 7, 21, 39, 117, 191, 169, 73, 413, 3417}},
+{457, 12, 1667, {1, 1, 1, 13, 1, 31, 57, 195, 231, 321, 367, 1027}},
+{458, 12, 1681, {1, 3, 7, 3, 11, 29, 47, 161, 71, 419, 1721, 437}},
+{459, 12, 1697, {1, 1, 7, 3, 11, 9, 43, 65, 157, 1, 1851, 823}},
+{460, 12, 1704, {1, 1, 1, 5, 21, 15, 31, 101, 293, 299, 127, 1321}},
+{461, 12, 1709, {1, 1, 7, 1, 27, 1, 11, 229, 241, 705, 43, 1475}},
+{462, 12, 1722, {1, 3, 7, 1, 5, 15, 73, 183, 193, 55, 1345, 49}},
+{463, 12, 1730, {1, 3, 3, 3, 19, 3, 55, 21, 169, 663, 1675, 137}},
+{464, 12, 1732, {1, 1, 1, 13, 7, 21, 69, 67, 373, 965, 1273, 2279}},
+{465, 12, 1802, {1, 1, 7, 7, 21, 23, 17, 43, 341, 845, 465, 3355}},
+{466, 12, 1804, {1, 3, 5, 5, 25, 5, 81, 101, 233, 139, 359, 2057}},
+{467, 12, 1815, {1, 1, 3, 11, 15, 39, 55, 3, 471, 765, 1143, 3941}},
+{468, 12, 1826, {1, 1, 7, 15, 9, 57, 81, 79, 215, 433, 333, 3855}},
+{469, 12, 1832, {1, 1, 5, 5, 19, 45, 83, 31, 209, 363, 701, 1303}},
+{470, 12, 1843, {1, 3, 7, 5, 1, 13, 55, 163, 435, 807, 287, 2031}},
+{471, 12, 1849, {1, 3, 3, 7, 3, 3, 17, 197, 39, 169, 489, 1769}},
+{472, 12, 1863, {1, 1, 3, 5, 29, 43, 87, 161, 289, 339, 1233, 2353}},
+{473, 12, 1905, {1, 3, 3, 9, 21, 9, 77, 1, 453, 167, 1643, 2227}},
+{474, 12, 1928, {1, 1, 7, 1, 15, 7, 67, 33, 193, 241, 1031, 2339}},
+{475, 12, 1933, {1, 3, 1, 11, 1, 63, 45, 65, 265, 661, 849, 1979}},
+{476, 12, 1939, {1, 3, 1, 13, 19, 49, 3, 11, 159, 213, 659, 2839}},
+{477, 12, 1976, {1, 3, 5, 11, 9, 29, 27, 227, 253, 449, 1403, 3427}},
+{478, 12, 1996, {1, 1, 3, 1, 7, 3, 77, 143, 277, 779, 1499, 475}},
+{479, 12, 2013, {1, 1, 1, 5, 11, 23, 87, 131, 393, 849, 193, 3189}},
+{480, 12, 2014, {1, 3, 5, 11, 3, 3, 89, 9, 449, 243, 1501, 1739}},
+{481, 12, 2020, {1, 3, 1, 9, 29, 29, 113, 15, 65, 611, 135, 3687}},
+{482, 13, 13, {1, 1, 1, 9, 21, 19, 39, 151, 395, 501, 1339, 959, 2725}},
+{483, 13, 19, {1, 3, 7, 1, 7, 35, 45, 33, 119, 225, 1631, 1695, 1459}},
+{484, 13, 26, {1, 1, 1, 3, 25, 55, 37, 79, 167, 907, 1075, 271, 4059}},
+{485, 13, 41, {1, 3, 5, 13, 5, 13, 53, 165, 437, 67, 1705, 3177, 8095}},
+{486, 13, 50, {1, 3, 3, 13, 27, 57, 95, 55, 443, 245, 1945, 1725, 1929}},
+{487, 13, 55, {1, 3, 1, 9, 5, 33, 109, 35, 99, 827, 341, 2401, 2411}},
+{488, 13, 69, {1, 1, 5, 9, 7, 33, 43, 39, 87, 799, 635, 3481, 7159}},
+{489, 13, 70, {1, 3, 1, 1, 31, 15, 45, 27, 337, 113, 987, 2065, 2529}},
+{490, 13, 79, {1, 1, 5, 9, 5, 15, 105, 123, 479, 289, 1609, 2177, 4629}},
+{491, 13, 82, {1, 3, 5, 11, 31, 47, 97, 87, 385, 195, 1041, 651, 3271}},
+{492, 13, 87, {1, 1, 3, 7, 17, 3, 101, 55, 87, 629, 1687, 1387, 2745}},
+{493, 13, 93, {1, 3, 5, 5, 7, 21, 9, 237, 313, 549, 1107, 117, 6183}},
+{494, 13, 94, {1, 1, 3, 9, 9, 5, 55, 201, 487, 851, 1103, 2993, 4055}},
+{495, 13, 97, {1, 1, 5, 9, 31, 19, 59, 7, 363, 381, 1167, 2057, 5715}},
+{496, 13, 100, {1, 3, 3, 15, 23, 63, 19, 227, 387, 827, 487, 1049, 7471}},
+{497, 13, 112, {1, 3, 1, 5, 23, 25, 61, 245, 363, 863, 963, 3583, 6475}},
+{498, 13, 121, {1, 1, 5, 1, 5, 27, 81, 85, 275, 49, 235, 3291, 1195}},
+{499, 13, 134, {1, 1, 5, 7, 23, 53, 85, 107, 511, 779, 1265, 1093, 7859}},
+{500, 13, 138, {1, 3, 3, 1, 9, 21, 75, 219, 59, 485, 1739, 3845, 1109}},
+{501, 13, 148, {1, 3, 5, 1, 13, 41, 19, 143, 293, 391, 2023, 1791, 4399}},
+{502, 13, 151, {1, 3, 7, 15, 21, 13, 21, 195, 215, 413, 523, 2099, 2341}},
+{503, 13, 157, {1, 1, 1, 3, 29, 51, 47, 57, 135, 575, 943, 1673, 541}},
+{504, 13, 161, {1, 3, 5, 1, 9, 13, 113, 175, 447, 115, 657, 4077, 5973}},
+{505, 13, 179, {1, 1, 1, 11, 17, 41, 37, 95, 297, 579, 911, 2207, 2387}},
+{506, 13, 181, {1, 3, 5, 3, 23, 11, 23, 231, 93, 667, 711, 1563, 7961}},
+{507, 13, 188, {1, 1, 7, 3, 17, 59, 13, 181, 141, 991, 1817, 457, 1711}},
+{508, 13, 196, {1, 3, 3, 5, 31, 59, 81, 205, 245, 537, 1049, 997, 1815}},
+{509, 13, 203, {1, 3, 7, 5, 17, 13, 9, 79, 17, 185, 5, 2211, 6263}},
+{510, 13, 206, {1, 3, 7, 13, 7, 53, 61, 145, 13, 285, 1203, 947, 2933}},
+{511, 13, 223, {1, 1, 7, 3, 31, 19, 69, 217, 47, 441, 1893, 673, 4451}},
+{512, 13, 224, {1, 1, 1, 1, 25, 9, 23, 225, 385, 629, 603, 3747, 4241}},
+{513, 13, 227, {1, 3, 1, 9, 5, 37, 31, 237, 431, 79, 1521, 459, 2523}},
+{514, 13, 230, {1, 3, 7, 3, 9, 43, 105, 179, 5, 225, 799, 1777, 4893}},
+{515, 13, 239, {1, 1, 3, 1, 29, 45, 29, 159, 267, 247, 455, 847, 3909}},
+{516, 13, 241, {1, 1, 3, 7, 25, 21, 121, 57, 467, 275, 719, 1521, 7319}},
+{517, 13, 248, {1, 3, 1, 3, 11, 35, 119, 123, 81, 979, 1187, 3623, 4293}},
+{518, 13, 253, {1, 1, 1, 7, 15, 25, 121, 235, 25, 487, 873, 1787, 1977}},
+{519, 13, 268, {1, 1, 1, 11, 3, 7, 17, 135, 345, 353, 383, 4011, 2573}},
+{520, 13, 274, {1, 3, 7, 15, 27, 13, 97, 123, 65, 675, 951, 1285, 6559}},
+{521, 13, 283, {1, 3, 7, 3, 7, 1, 71, 19, 325, 765, 337, 1197, 2697}},
+{522, 13, 286, {1, 3, 5, 1, 31, 37, 11, 71, 169, 283, 83, 3801, 7083}},
+{523, 13, 289, {1, 1, 3, 15, 17, 29, 83, 65, 275, 679, 1749, 4007, 7749}},
+{524, 13, 301, {1, 1, 3, 1, 21, 11, 41, 95, 237, 361, 1819, 2783, 2383}},
+{525, 13, 302, {1, 3, 7, 11, 29, 57, 111, 187, 465, 145, 605, 1987, 8109}},
+{526, 13, 316, {1, 1, 3, 3, 19, 15, 55, 83, 357, 1001, 643, 1517, 6529}},
+{527, 13, 319, {1, 3, 1, 5, 29, 35, 73, 23, 77, 619, 1523, 1725, 8145}},
+{528, 13, 324, {1, 1, 5, 5, 19, 23, 7, 197, 449, 337, 717, 2921, 315}},
+{529, 13, 331, {1, 3, 5, 9, 7, 63, 117, 97, 97, 813, 1925, 2817, 1579}},
+{530, 13, 333, {1, 1, 1, 11, 31, 7, 25, 235, 231, 133, 1007, 1371, 1553}},
+{531, 13, 345, {1, 1, 7, 5, 19, 7, 47, 171, 267, 243, 1331, 567, 6033}},
+{532, 13, 351, {1, 1, 5, 1, 7, 49, 55, 89, 109, 735, 1455, 3193, 6239}},
+{533, 13, 358, {1, 1, 1, 7, 1, 61, 9, 103, 3, 929, 1481, 2927, 2957}},
+{534, 13, 375, {1, 1, 5, 13, 17, 21, 75, 49, 255, 1019, 1161, 2133, 1177}},
+{535, 13, 379, {1, 3, 1, 3, 13, 15, 41, 247, 211, 409, 1163, 523, 2635}},
+{536, 13, 381, {1, 3, 7, 7, 21, 59, 91, 149, 479, 391, 681, 2311, 6249}},
+{537, 13, 386, {1, 1, 5, 11, 27, 53, 21, 211, 197, 815, 719, 1605, 255}},
+{538, 13, 403, {1, 1, 3, 3, 9, 33, 59, 3, 323, 1, 101, 1135, 8105}},
+{539, 13, 405, {1, 3, 3, 1, 29, 5, 17, 141, 51, 991, 841, 327, 3859}},
+{540, 13, 419, {1, 3, 1, 5, 11, 19, 23, 89, 175, 173, 165, 2881, 1881}},
+{541, 13, 426, {1, 1, 1, 15, 13, 51, 87, 39, 495, 611, 1341, 1531, 7029}},
+{542, 13, 428, {1, 1, 3, 11, 13, 55, 75, 185, 57, 61, 1917, 2051, 5965}},
+{543, 13, 439, {1, 1, 5, 5, 7, 53, 11, 217, 213, 933, 921, 3607, 5175}},
+{544, 13, 440, {1, 3, 3, 5, 17, 53, 103, 251, 369, 781, 1319, 3717, 4439}},
+{545, 13, 446, {1, 3, 5, 13, 1, 39, 25, 235, 321, 773, 251, 3111, 6397}},
+{546, 13, 451, {1, 1, 7, 3, 31, 5, 25, 29, 325, 385, 1313, 127, 4705}},
+{547, 13, 454, {1, 1, 5, 15, 15, 27, 15, 85, 239, 243, 1633, 3473, 2621}},
+{548, 13, 458, {1, 3, 3, 3, 9, 19, 113, 13, 137, 165, 25, 2957, 7549}},
+{549, 13, 465, {1, 3, 1, 3, 11, 21, 3, 97, 417, 183, 1205, 1437, 247}},
+{550, 13, 468, {1, 1, 7, 3, 17, 21, 125, 55, 67, 387, 385, 2323, 887}},
+{551, 13, 472, {1, 3, 5, 5, 29, 11, 103, 223, 233, 641, 133, 415, 1297}},
+{552, 13, 475, {1, 3, 3, 11, 1, 9, 5, 189, 235, 1007, 1363, 3985, 889}},
+{553, 13, 477, {1, 3, 7, 9, 23, 19, 19, 183, 269, 403, 1643, 3559, 5189}},
+{554, 13, 496, {1, 3, 7, 3, 29, 45, 17, 69, 475, 149, 1291, 2689, 7625}},
+{555, 13, 502, {1, 3, 7, 3, 27, 37, 41, 73, 253, 1001, 431, 1111, 7887}},
+{556, 13, 508, {1, 1, 7, 5, 3, 7, 87, 143, 289, 495, 631, 3011, 6151}},
+{557, 13, 517, {1, 1, 1, 13, 5, 45, 17, 167, 23, 975, 801, 1975, 6833}},
+{558, 13, 521, {1, 3, 1, 11, 7, 21, 39, 23, 213, 429, 1301, 2059, 197}},
+{559, 13, 527, {1, 3, 3, 15, 3, 57, 121, 133, 29, 711, 1961, 2497, 189}},
+{560, 13, 530, {1, 1, 3, 5, 11, 55, 115, 137, 233, 673, 985, 2849, 5911}},
+{561, 13, 532, {1, 1, 7, 15, 29, 45, 1, 241, 329, 323, 925, 2821, 3331}},
+{562, 13, 542, {1, 1, 5, 7, 13, 31, 81, 105, 199, 145, 195, 1365, 5119}},
+{563, 13, 552, {1, 3, 7, 11, 3, 55, 11, 31, 117, 343, 1265, 1837, 2451}},
+{564, 13, 555, {1, 1, 3, 7, 29, 57, 61, 179, 429, 591, 177, 1945, 2159}},
+{565, 13, 560, {1, 3, 5, 11, 23, 49, 101, 137, 339, 323, 1035, 1749, 7737}},
+{566, 13, 566, {1, 3, 1, 13, 21, 35, 55, 79, 19, 269, 1055, 2651, 7083}},
+{567, 13, 575, {1, 3, 3, 11, 9, 9, 95, 167, 437, 361, 1185, 4083, 603}},
+{568, 13, 577, {1, 1, 1, 7, 31, 61, 77, 65, 489, 657, 691, 2423, 4147}},
+{569, 13, 589, {1, 3, 5, 7, 21, 37, 87, 191, 311, 453, 2013, 829, 2619}},
+{570, 13, 590, {1, 1, 5, 9, 17, 47, 35, 101, 5, 813, 1157, 1279, 7365}},
+{571, 13, 602, {1, 1, 5, 3, 11, 35, 113, 199, 369, 721, 901, 1471, 7801}},
+{572, 13, 607, {1, 3, 1, 5, 9, 61, 83, 157, 391, 739, 1957, 2123, 4341}},
+{573, 13, 608, {1, 3, 5, 11, 19, 19, 111, 225, 383, 219, 997, 717, 7505}},
+{574, 13, 611, {1, 3, 1, 11, 13, 63, 35, 127, 209, 831, 501, 3017, 3507}},
+{575, 13, 613, {1, 3, 7, 9, 29, 7, 11, 163, 81, 563, 1445, 3215, 6377}},
+{576, 13, 625, {1, 3, 7, 11, 25, 3, 39, 195, 491, 45, 839, 4021, 4899}},
+{577, 13, 644, {1, 3, 7, 15, 13, 5, 67, 143, 117, 505, 1281, 3679, 5695}},
+{578, 13, 651, {1, 3, 7, 9, 9, 19, 21, 221, 147, 763, 683, 2211, 589}},
+{579, 13, 654, {1, 1, 3, 5, 21, 47, 53, 109, 299, 807, 1153, 1209, 7961}},
+{580, 13, 656, {1, 3, 7, 11, 9, 31, 45, 43, 505, 647, 1127, 2681, 4917}},
+{581, 13, 662, {1, 1, 5, 15, 31, 41, 63, 113, 399, 727, 673, 2587, 5259}},
+{582, 13, 668, {1, 1, 1, 13, 17, 53, 35, 99, 57, 243, 1447, 1919, 2831}},
+{583, 13, 681, {1, 3, 7, 11, 23, 51, 13, 9, 49, 449, 997, 3073, 4407}},
+{584, 13, 682, {1, 3, 5, 7, 23, 33, 89, 41, 415, 53, 697, 1113, 1489}},
+{585, 13, 689, {1, 1, 3, 7, 1, 13, 29, 13, 255, 749, 77, 3463, 1761}},
+{586, 13, 696, {1, 3, 3, 7, 13, 15, 93, 191, 309, 869, 739, 1041, 3053}},
+{587, 13, 699, {1, 3, 5, 13, 5, 19, 109, 211, 347, 839, 893, 2947, 7735}},
+{588, 13, 707, {1, 3, 1, 13, 27, 3, 119, 157, 485, 99, 1703, 3895, 573}},
+{589, 13, 709, {1, 3, 7, 11, 1, 23, 123, 105, 31, 359, 275, 1775, 3685}},
+{590, 13, 714, {1, 3, 3, 5, 27, 11, 125, 3, 413, 199, 2043, 2895, 2945}},
+{591, 13, 716, {1, 3, 3, 3, 15, 49, 121, 159, 233, 543, 193, 4007, 321}},
+{592, 13, 719, {1, 1, 3, 5, 9, 47, 87, 1, 51, 1011, 1595, 2239, 6467}},
+{593, 13, 727, {1, 3, 7, 9, 1, 33, 87, 137, 469, 749, 1413, 805, 6817}},
+{594, 13, 734, {1, 3, 1, 13, 19, 45, 95, 227, 29, 677, 1275, 3395, 4451}},
+{595, 13, 738, {1, 1, 7, 5, 7, 63, 33, 71, 443, 561, 1311, 3069, 6943}},
+{596, 13, 743, {1, 1, 1, 13, 9, 37, 23, 69, 13, 415, 1479, 1197, 861}},
+{597, 13, 747, {1, 3, 3, 13, 27, 21, 13, 233, 105, 777, 345, 2443, 1105}},
+{598, 13, 757, {1, 1, 7, 11, 23, 13, 21, 147, 221, 549, 73, 2729, 6279}},
+{599, 13, 769, {1, 1, 7, 7, 25, 27, 15, 45, 227, 39, 75, 1191, 3563}},
+{600, 13, 770, {1, 1, 5, 7, 13, 49, 99, 167, 227, 13, 353, 1047, 8075}},
+{601, 13, 776, {1, 1, 3, 13, 31, 9, 27, 7, 461, 737, 1559, 3243, 53}},
+{602, 13, 790, {1, 3, 1, 1, 21, 41, 97, 165, 171, 821, 587, 2137, 2293}},
+{603, 13, 799, {1, 3, 1, 11, 17, 41, 29, 187, 87, 599, 1467, 1395, 5931}},
+{604, 13, 805, {1, 1, 1, 9, 9, 49, 89, 205, 409, 453, 61, 1923, 1257}},
+{605, 13, 809, {1, 3, 7, 3, 9, 43, 89, 143, 431, 83, 1243, 1795, 3599}},
+{606, 13, 812, {1, 3, 5, 13, 3, 25, 59, 219, 43, 223, 797, 2651, 6015}},
+{607, 13, 820, {1, 1, 5, 15, 7, 55, 65, 207, 213, 311, 1287, 1269, 6467}},
+{608, 13, 827, {1, 3, 7, 11, 21, 57, 31, 183, 351, 857, 911, 1683, 7155}},
+{609, 13, 829, {1, 3, 5, 11, 27, 1, 21, 47, 387, 383, 1593, 115, 3805}},
+{610, 13, 835, {1, 3, 1, 1, 13, 23, 87, 173, 181, 619, 1653, 3931, 6073}},
+{611, 13, 841, {1, 1, 7, 5, 17, 43, 37, 61, 307, 621, 1785, 55, 115}},
+{612, 13, 844, {1, 3, 7, 15, 25, 61, 123, 15, 237, 671, 1473, 467, 1907}},
+{613, 13, 856, {1, 1, 7, 5, 29, 57, 75, 237, 85, 699, 159, 3577, 4771}},
+{614, 13, 859, {1, 1, 1, 11, 25, 19, 51, 1, 147, 31, 895, 2617, 625}},
+{615, 13, 862, {1, 3, 7, 5, 29, 15, 115, 175, 395, 391, 1141, 1827, 1181}},
+{616, 13, 865, {1, 3, 5, 7, 17, 7, 11, 193, 89, 243, 561, 3787, 4551}},
+{617, 13, 885, {1, 3, 1, 11, 7, 57, 7, 125, 403, 947, 1261, 409, 8083}},
+{618, 13, 890, {1, 1, 5, 13, 21, 63, 115, 233, 231, 921, 1747, 3635, 2519}},
+{619, 13, 905, {1, 1, 5, 11, 3, 27, 15, 91, 505, 591, 1451, 3881, 2997}},
+{620, 13, 916, {1, 1, 3, 11, 21, 9, 109, 153, 317, 533, 593, 3967, 2797}},
+{621, 13, 925, {1, 3, 3, 13, 9, 57, 121, 245, 219, 867, 967, 791, 7095}},
+{622, 13, 935, {1, 1, 1, 9, 29, 21, 99, 35, 375, 959, 329, 4087, 7171}},
+{623, 13, 939, {1, 1, 1, 9, 11, 17, 17, 97, 89, 135, 631, 3809, 3253}},
+{624, 13, 942, {1, 1, 1, 15, 21, 51, 91, 249, 459, 801, 757, 2353, 2033}},
+{625, 13, 949, {1, 3, 5, 9, 23, 29, 77, 53, 399, 767, 1817, 2171, 1629}},
+{626, 13, 953, {1, 1, 3, 5, 29, 5, 43, 121, 17, 859, 1479, 3785, 6641}},
+{627, 13, 956, {1, 1, 3, 7, 7, 61, 45, 109, 371, 833, 91, 153, 4553}},
+{628, 13, 961, {1, 1, 3, 11, 7, 55, 81, 123, 389, 139, 1933, 891, 1789}},
+{629, 13, 968, {1, 3, 7, 15, 25, 17, 93, 165, 503, 717, 1553, 1475, 1627}},
+{630, 13, 976, {1, 1, 1, 13, 13, 63, 13, 225, 357, 571, 33, 4073, 3795}},
+{631, 13, 988, {1, 1, 3, 11, 1, 31, 107, 145, 407, 961, 501, 2987, 103}},
+{632, 13, 995, {1, 1, 7, 1, 23, 63, 49, 193, 173, 281, 25, 2465, 5927}},
+{633, 13, 997, {1, 1, 7, 1, 1, 1, 85, 77, 273, 693, 349, 1239, 4503}},
+{634, 13, 1007, {1, 1, 5, 11, 7, 61, 9, 121, 25, 357, 1443, 405, 7827}},
+{635, 13, 1015, {1, 1, 7, 13, 11, 53, 11, 207, 145, 211, 1703, 1081, 2117}},
+{636, 13, 1016, {1, 1, 3, 11, 27, 23, 19, 9, 297, 279, 1481, 2273, 6387}},
+{637, 13, 1027, {1, 3, 3, 5, 15, 45, 3, 41, 305, 87, 1815, 3461, 5349}},
+{638, 13, 1036, {1, 3, 3, 13, 9, 37, 79, 125, 259, 561, 1087, 4091, 793}},
+{639, 13, 1039, {1, 3, 5, 7, 31, 55, 7, 145, 347, 929, 589, 2783, 5905}},
+{640, 13, 1041, {1, 1, 7, 15, 3, 25, 1, 181, 13, 243, 653, 2235, 7445}},
+{641, 13, 1048, {1, 3, 5, 5, 17, 53, 65, 7, 33, 583, 1363, 1313, 2319}},
+{642, 13, 1053, {1, 3, 3, 7, 27, 47, 97, 201, 187, 321, 63, 1515, 7917}},
+{643, 13, 1054, {1, 1, 3, 5, 23, 9, 3, 165, 61, 19, 1789, 3783, 3037}},
+{644, 13, 1058, {1, 3, 1, 13, 15, 43, 125, 191, 67, 273, 1551, 2227, 5253}},
+{645, 13, 1075, {1, 1, 1, 13, 25, 53, 107, 33, 299, 249, 1475, 2233, 907}},
+{646, 13, 1082, {1, 3, 5, 1, 23, 37, 85, 17, 207, 643, 665, 2933, 5199}},
+{647, 13, 1090, {1, 1, 7, 7, 25, 57, 59, 41, 15, 751, 751, 1749, 7053}},
+{648, 13, 1109, {1, 3, 3, 1, 13, 25, 127, 93, 281, 613, 875, 2223, 6345}},
+{649, 13, 1110, {1, 1, 5, 3, 29, 55, 79, 249, 43, 317, 533, 995, 1991}},
+{650, 13, 1119, {1, 3, 3, 15, 17, 49, 79, 31, 193, 233, 1437, 2615, 819}},
+{651, 13, 1126, {1, 1, 5, 15, 25, 3, 123, 145, 377, 9, 455, 1191, 3953}},
+{652, 13, 1130, {1, 3, 5, 3, 15, 19, 41, 231, 81, 393, 3, 19, 2409}},
+{653, 13, 1135, {1, 1, 3, 1, 27, 43, 113, 179, 7, 853, 947, 2731, 297}},
+{654, 13, 1137, {1, 1, 1, 11, 29, 39, 53, 191, 443, 689, 529, 3329, 7431}},
+{655, 13, 1140, {1, 3, 7, 5, 3, 29, 19, 67, 441, 113, 949, 2769, 4169}},
+{656, 13, 1149, {1, 3, 5, 11, 11, 55, 85, 169, 215, 815, 803, 2345, 3967}},
+{657, 13, 1156, {1, 1, 7, 9, 5, 45, 111, 5, 419, 375, 303, 1725, 4489}},
+{658, 13, 1159, {1, 3, 5, 15, 29, 43, 79, 19, 23, 417, 381, 541, 4923}},
+{659, 13, 1160, {1, 1, 3, 15, 3, 31, 117, 39, 117, 305, 1227, 1223, 143}},
+{660, 13, 1165, {1, 1, 5, 9, 5, 47, 87, 239, 181, 353, 1561, 3313, 1921}},
+{661, 13, 1173, {1, 3, 3, 1, 3, 15, 53, 221, 441, 987, 1997, 2529, 8059}},
+{662, 13, 1178, {1, 1, 7, 11, 15, 57, 111, 139, 137, 883, 1881, 2823, 5661}},
+{663, 13, 1183, {1, 3, 5, 5, 21, 11, 5, 13, 27, 973, 587, 1331, 1373}},
+{664, 13, 1184, {1, 1, 7, 11, 29, 51, 93, 29, 217, 221, 55, 2477, 1979}},
+{665, 13, 1189, {1, 3, 3, 13, 3, 11, 49, 75, 379, 371, 1441, 793, 7633}},
+{666, 13, 1194, {1, 1, 1, 13, 19, 45, 89, 249, 91, 649, 1695, 915, 5619}},
+{667, 13, 1211, {1, 3, 1, 7, 7, 29, 1, 77, 313, 895, 519, 771, 295}},
+{668, 13, 1214, {1, 3, 1, 15, 5, 3, 1, 57, 331, 109, 485, 2853, 6831}},
+{669, 13, 1216, {1, 1, 1, 15, 17, 3, 35, 99, 245, 971, 839, 2509, 2803}},
+{670, 13, 1225, {1, 3, 3, 3, 9, 37, 57, 251, 325, 317, 529, 1313, 6379}},
+{671, 13, 1231, {1, 1, 1, 15, 25, 59, 1, 119, 95, 15, 795, 2375, 6463}},
+{672, 13, 1239, {1, 3, 1, 5, 1, 49, 117, 21, 47, 179, 863, 85, 1669}},
+{673, 13, 1243, {1, 3, 7, 3, 9, 37, 19, 221, 455, 973, 571, 1427, 817}},
+{674, 13, 1246, {1, 1, 1, 15, 17, 9, 67, 213, 127, 887, 1299, 2913, 7451}},
+{675, 13, 1249, {1, 3, 1, 13, 27, 27, 41, 43, 171, 623, 691, 391, 4885}},
+{676, 13, 1259, {1, 3, 1, 13, 17, 17, 123, 239, 143, 227, 1151, 519, 6543}},
+{677, 13, 1273, {1, 3, 7, 5, 7, 63, 97, 39, 101, 555, 1057, 381, 7891}},
+{678, 13, 1274, {1, 3, 5, 1, 3, 27, 85, 129, 161, 875, 1945, 3541, 695}},
+{679, 13, 1281, {1, 3, 3, 5, 21, 59, 25, 183, 35, 25, 987, 1459, 181}},
+{680, 13, 1287, {1, 3, 5, 13, 1, 15, 127, 237, 349, 337, 1491, 2383, 7811}},
+{681, 13, 1294, {1, 3, 5, 5, 31, 5, 109, 51, 409, 733, 1395, 3207, 6049}},
+{682, 13, 1296, {1, 1, 5, 7, 13, 35, 113, 25, 263, 389, 299, 2521, 1783}},
+{683, 13, 1305, {1, 3, 7, 11, 15, 47, 97, 73, 55, 75, 113, 2695, 1023}},
+{684, 13, 1306, {1, 3, 1, 1, 3, 13, 69, 211, 289, 483, 1335, 787, 677}},
+{685, 13, 1318, {1, 1, 3, 3, 17, 7, 37, 77, 505, 137, 1113, 345, 2975}},
+{686, 13, 1332, {1, 1, 1, 13, 3, 11, 95, 199, 453, 109, 479, 3725, 239}},
+{687, 13, 1335, {1, 1, 7, 15, 19, 53, 3, 145, 359, 863, 347, 3833, 3043}},
+{688, 13, 1336, {1, 1, 7, 15, 25, 63, 127, 129, 125, 195, 155, 2211, 8153}},
+{689, 13, 1341, {1, 1, 7, 13, 9, 49, 121, 115, 73, 119, 1851, 727, 47}},
+{690, 13, 1342, {1, 3, 3, 13, 13, 11, 71, 7, 45, 591, 133, 2407, 5563}},
+{691, 13, 1362, {1, 1, 1, 13, 23, 29, 87, 89, 501, 71, 1759, 1119, 687}},
+{692, 13, 1364, {1, 1, 7, 7, 13, 7, 13, 183, 53, 951, 1877, 3991, 6771}},
+{693, 13, 1368, {1, 3, 7, 11, 7, 1, 27, 47, 61, 21, 919, 961, 1091}},
+{694, 13, 1378, {1, 3, 5, 5, 1, 27, 1, 5, 63, 157, 1297, 1049, 5893}},
+{695, 13, 1387, {1, 3, 7, 9, 19, 33, 17, 133, 425, 797, 1721, 153, 119}},
+{696, 13, 1389, {1, 3, 3, 7, 13, 37, 1, 215, 509, 1003, 61, 2353, 7511}},
+{697, 13, 1397, {1, 1, 7, 1, 29, 19, 31, 79, 199, 555, 1209, 1603, 6089}},
+{698, 13, 1401, {1, 3, 1, 1, 5, 31, 111, 127, 333, 429, 1863, 3925, 5411}},
+{699, 13, 1408, {1, 1, 7, 5, 5, 5, 123, 191, 47, 993, 269, 4051, 2111}},
+{700, 13, 1418, {1, 1, 5, 15, 1, 9, 87, 5, 47, 463, 865, 1813, 7357}},
+{701, 13, 1425, {1, 3, 1, 3, 23, 63, 123, 83, 511, 777, 63, 1285, 4537}},
+{702, 13, 1426, {1, 3, 3, 7, 27, 25, 31, 65, 441, 529, 1815, 1893, 323}},
+{703, 13, 1431, {1, 3, 7, 5, 11, 19, 7, 5, 397, 811, 755, 2883, 4217}},
+{704, 13, 1435, {1, 3, 1, 13, 9, 21, 13, 7, 271, 539, 1769, 3243, 5325}},
+{705, 13, 1441, {1, 1, 7, 1, 31, 13, 47, 131, 181, 457, 1559, 2663, 6653}},
+{706, 13, 1444, {1, 3, 3, 7, 29, 55, 25, 203, 419, 91, 437, 1159, 5691}},
+{707, 13, 1462, {1, 1, 3, 13, 29, 19, 71, 217, 337, 329, 501, 939, 2205}},
+{708, 13, 1471, {1, 1, 3, 1, 1, 27, 17, 201, 97, 285, 1269, 4043, 2207}},
+{709, 13, 1474, {1, 1, 1, 1, 3, 41, 13, 199, 141, 129, 1515, 3129, 5969}},
+{710, 13, 1483, {1, 3, 3, 9, 3, 17, 119, 41, 271, 933, 877, 701, 2197}},
+{711, 13, 1485, {1, 1, 1, 7, 15, 47, 3, 195, 115, 821, 725, 843, 6071}},
+{712, 13, 1494, {1, 3, 5, 15, 17, 33, 85, 65, 297, 571, 1123, 2743, 5727}},
+{713, 13, 1497, {1, 1, 5, 11, 27, 15, 37, 235, 415, 293, 1439, 2739, 4171}},
+{714, 13, 1516, {1, 3, 7, 7, 1, 55, 71, 35, 307, 11, 401, 1881, 933}},
+{715, 13, 1522, {1, 3, 1, 11, 21, 37, 3, 177, 119, 339, 559, 3991, 3437}},
+{716, 13, 1534, {1, 3, 3, 9, 17, 17, 97, 119, 301, 169, 157, 3267, 2261}},
+{717, 13, 1543, {1, 3, 3, 9, 29, 3, 111, 101, 355, 869, 375, 2609, 7377}},
+{718, 13, 1552, {1, 3, 5, 9, 7, 21, 123, 99, 343, 693, 1927, 1605, 4923}},
+{719, 13, 1557, {1, 1, 3, 5, 13, 31, 99, 17, 75, 385, 1539, 1553, 7077}},
+{720, 13, 1558, {1, 3, 3, 5, 31, 35, 107, 11, 407, 1019, 1317, 3593, 7203}},
+{721, 13, 1567, {1, 3, 3, 13, 17, 33, 99, 245, 401, 957, 157, 1949, 1571}},
+{722, 13, 1568, {1, 3, 1, 11, 27, 15, 11, 109, 429, 307, 1911, 2701, 861}},
+{723, 13, 1574, {1, 1, 5, 13, 13, 35, 55, 255, 311, 957, 1803, 2673, 5195}},
+{724, 13, 1592, {1, 1, 1, 11, 19, 3, 89, 37, 211, 783, 1355, 3567, 7135}},
+{725, 13, 1605, {1, 1, 5, 5, 21, 49, 79, 17, 509, 331, 183, 3831, 855}},
+{726, 13, 1606, {1, 3, 7, 5, 29, 19, 85, 109, 105, 523, 845, 3385, 7477}},
+{727, 13, 1610, {1, 1, 1, 7, 25, 17, 125, 131, 53, 757, 253, 2989, 2939}},
+{728, 13, 1617, {1, 3, 3, 9, 19, 23, 105, 39, 351, 677, 211, 401, 8103}},
+{729, 13, 1623, {1, 3, 5, 1, 5, 11, 17, 3, 405, 469, 1569, 2865, 3133}},
+{730, 13, 1630, {1, 1, 3, 13, 15, 5, 117, 179, 139, 145, 477, 1137, 2537}},
+{731, 13, 1634, {1, 1, 7, 9, 5, 21, 9, 93, 211, 963, 1207, 3343, 4911}},
+{732, 13, 1640, {1, 1, 1, 9, 13, 43, 17, 53, 81, 793, 1571, 2523, 3683}},
+{733, 13, 1643, {1, 3, 3, 13, 25, 21, 5, 59, 489, 987, 1941, 171, 6009}},
+{734, 13, 1648, {1, 3, 3, 7, 1, 39, 89, 171, 403, 467, 1767, 3423, 2791}},
+{735, 13, 1651, {1, 1, 3, 9, 19, 49, 91, 125, 163, 1013, 89, 2849, 6785}},
+{736, 13, 1653, {1, 1, 5, 9, 9, 11, 15, 241, 43, 297, 1719, 1541, 1821}},
+{737, 13, 1670, {1, 3, 7, 15, 29, 23, 103, 239, 191, 33, 1043, 3649, 6579}},
+{738, 13, 1676, {1, 3, 3, 9, 21, 51, 123, 55, 223, 645, 1463, 4021, 5891}},
+{739, 13, 1684, {1, 1, 5, 7, 3, 41, 27, 235, 391, 303, 2021, 3187, 7607}},
+{740, 13, 1687, {1, 1, 1, 9, 5, 49, 49, 29, 377, 251, 1887, 1017, 1301}},
+{741, 13, 1691, {1, 1, 3, 3, 13, 41, 27, 47, 223, 23, 517, 3227, 6731}},
+{742, 13, 1693, {1, 1, 7, 1, 31, 25, 47, 9, 511, 623, 2047, 1263, 1511}},
+{743, 13, 1698, {1, 1, 3, 15, 15, 23, 53, 1, 261, 595, 85, 241, 7047}},
+{744, 13, 1709, {1, 3, 3, 11, 17, 5, 81, 73, 149, 781, 2035, 3163, 4247}},
+{745, 13, 1715, {1, 3, 7, 7, 29, 59, 49, 79, 397, 901, 1105, 2191, 6277}},
+{746, 13, 1722, {1, 3, 3, 11, 13, 27, 25, 173, 107, 73, 1265, 585, 5251}},
+{747, 13, 1732, {1, 1, 7, 15, 29, 23, 73, 229, 235, 887, 1469, 4073, 2591}},
+{748, 13, 1735, {1, 1, 3, 9, 17, 15, 83, 173, 207, 879, 1701, 1509, 11}},
+{749, 13, 1747, {1, 1, 3, 5, 5, 37, 65, 161, 39, 421, 1153, 2007, 5355}},
+{750, 13, 1749, {1, 1, 7, 11, 23, 37, 5, 11, 9, 499, 17, 157, 5747}},
+{751, 13, 1754, {1, 3, 7, 13, 25, 9, 49, 7, 39, 945, 1349, 1759, 1441}},
+{752, 13, 1777, {1, 1, 5, 3, 21, 15, 113, 81, 265, 837, 333, 3625, 6133}},
+{753, 13, 1784, {1, 3, 1, 11, 13, 27, 73, 109, 297, 327, 299, 3253, 6957}},
+{754, 13, 1790, {1, 1, 3, 13, 19, 39, 123, 73, 65, 5, 1061, 2187, 5055}},
+{755, 13, 1795, {1, 1, 3, 1, 11, 31, 21, 115, 453, 857, 711, 495, 549}},
+{756, 13, 1801, {1, 3, 7, 7, 15, 29, 79, 103, 47, 713, 1735, 3121, 6321}},
+{757, 13, 1802, {1, 1, 5, 5, 29, 9, 97, 33, 471, 705, 329, 1501, 1349}},
+{758, 13, 1812, {1, 3, 3, 1, 21, 9, 111, 209, 71, 47, 491, 2143, 1797}},
+{759, 13, 1828, {1, 3, 3, 3, 11, 39, 21, 135, 445, 259, 607, 3811, 5449}},
+{760, 13, 1831, {1, 1, 7, 9, 11, 25, 113, 251, 395, 317, 317, 91, 1979}},
+{761, 13, 1837, {1, 3, 1, 9, 3, 21, 103, 133, 389, 943, 1235, 1749, 7063}},
+{762, 13, 1838, {1, 1, 3, 7, 1, 11, 5, 15, 497, 477, 479, 3079, 6969}},
+{763, 13, 1840, {1, 1, 3, 3, 15, 39, 105, 131, 475, 465, 181, 865, 3813}},
+{764, 13, 1845, {1, 1, 7, 9, 19, 63, 123, 131, 415, 525, 457, 2471, 3135}},
+{765, 13, 1863, {1, 3, 7, 15, 25, 35, 123, 45, 341, 805, 485, 4049, 7065}},
+{766, 13, 1864, {1, 1, 1, 5, 29, 9, 47, 227, 51, 867, 1873, 1593, 2271}},
+{767, 13, 1867, {1, 1, 7, 15, 31, 9, 71, 117, 285, 711, 837, 1435, 6275}},
+{768, 13, 1870, {1, 3, 1, 1, 5, 19, 79, 25, 301, 415, 1871, 645, 3251}},
+{769, 13, 1877, {1, 3, 1, 3, 17, 51, 99, 185, 447, 43, 523, 219, 429}},
+{770, 13, 1881, {1, 3, 1, 13, 29, 13, 51, 93, 7, 995, 757, 3017, 6865}},
+{771, 13, 1884, {1, 1, 3, 15, 7, 25, 75, 17, 155, 981, 1231, 1229, 1995}},
+{772, 13, 1903, {1, 3, 5, 3, 27, 45, 71, 73, 225, 763, 377, 1139, 2863}},
+{773, 13, 1917, {1, 1, 3, 1, 1, 39, 69, 113, 29, 371, 1051, 793, 3749}},
+{774, 13, 1918, {1, 1, 3, 13, 23, 61, 27, 183, 307, 431, 1345, 2757, 4031}},
+{775, 13, 1922, {1, 3, 7, 5, 5, 59, 117, 197, 303, 721, 877, 723, 1601}},
+{776, 13, 1924, {1, 3, 5, 1, 27, 33, 99, 237, 485, 711, 665, 3077, 5105}},
+{777, 13, 1928, {1, 1, 3, 1, 13, 9, 103, 201, 23, 951, 2029, 165, 2093}},
+{778, 13, 1931, {1, 3, 5, 13, 5, 29, 55, 85, 221, 677, 611, 3613, 4567}},
+{779, 13, 1951, {1, 1, 1, 1, 7, 61, 9, 233, 261, 561, 953, 4023, 2443}},
+{780, 13, 1952, {1, 3, 3, 13, 1, 17, 103, 71, 223, 213, 833, 1747, 6999}},
+{781, 13, 1957, {1, 3, 5, 15, 25, 53, 57, 187, 25, 695, 1207, 4089, 2877}},
+{782, 13, 1958, {1, 1, 7, 1, 7, 31, 87, 129, 493, 519, 1555, 1155, 4637}},
+{783, 13, 1964, {1, 1, 1, 15, 21, 17, 23, 29, 19, 255, 927, 1791, 3093}},
+{784, 13, 1967, {1, 1, 3, 9, 17, 33, 95, 129, 175, 461, 287, 2633, 2325}},
+{785, 13, 1970, {1, 3, 5, 7, 23, 19, 63, 209, 249, 583, 1373, 2039, 2225}},
+{786, 13, 1972, {1, 3, 3, 5, 5, 19, 79, 241, 459, 355, 1455, 3313, 3639}},
+{787, 13, 1994, {1, 1, 7, 9, 21, 41, 97, 119, 129, 769, 1541, 3495, 7741}},
+{788, 13, 2002, {1, 1, 7, 11, 9, 29, 35, 255, 141, 937, 1763, 41, 1393}},
+{789, 13, 2007, {1, 3, 7, 1, 13, 51, 61, 157, 177, 847, 1829, 3539, 285}},
+{790, 13, 2008, {1, 1, 1, 15, 21, 13, 9, 55, 397, 19, 1495, 1255, 7235}},
+{791, 13, 2023, {1, 1, 7, 7, 25, 37, 53, 237, 319, 197, 269, 1205, 1485}},
+{792, 13, 2030, {1, 1, 5, 15, 23, 17, 35, 247, 323, 807, 233, 3681, 4407}},
+{793, 13, 2035, {1, 1, 3, 7, 9, 59, 85, 105, 493, 763, 1639, 391, 1451}},
+{794, 13, 2038, {1, 3, 3, 9, 15, 33, 5, 253, 129, 625, 1527, 2793, 6057}},
+{795, 13, 2042, {1, 3, 1, 1, 7, 47, 21, 161, 235, 83, 397, 3563, 5953}},
+{796, 13, 2047, {1, 3, 7, 11, 3, 41, 25, 117, 375, 779, 1297, 3715, 8117}},
+{797, 13, 2051, {1, 1, 3, 7, 31, 19, 103, 173, 475, 189, 2035, 2921, 1107}},
+{798, 13, 2058, {1, 1, 7, 3, 25, 7, 93, 255, 307, 113, 1893, 2233, 6919}},
+{799, 13, 2060, {1, 3, 5, 15, 9, 57, 79, 143, 165, 5, 1389, 193, 693}},
+{800, 13, 2071, {1, 3, 5, 1, 29, 45, 91, 49, 189, 461, 439, 1283, 7835}},
+{801, 13, 2084, {1, 1, 3, 13, 11, 61, 41, 231, 373, 695, 395, 915, 5393}},
+{802, 13, 2087, {1, 3, 7, 11, 5, 51, 67, 53, 483, 95, 1943, 247, 5653}},
+{803, 13, 2099, {1, 3, 7, 5, 5, 57, 45, 235, 137, 793, 1069, 1661, 1557}},
+{804, 13, 2108, {1, 3, 5, 3, 25, 55, 103, 177, 81, 861, 1151, 143, 7655}},
+{805, 13, 2111, {1, 1, 3, 1, 21, 41, 67, 131, 253, 431, 1269, 3181, 3429}},
+{806, 13, 2120, {1, 3, 1, 1, 21, 7, 77, 221, 257, 663, 71, 2949, 2481}},
+{807, 13, 2128, {1, 3, 5, 3, 3, 23, 45, 107, 299, 739, 1013, 3, 3165}},
+{808, 13, 2138, {1, 1, 5, 1, 3, 37, 109, 37, 243, 983, 1221, 1691, 3869}},
+{809, 13, 2143, {1, 1, 5, 5, 31, 7, 5, 193, 397, 867, 1495, 3435, 7441}},
+{810, 13, 2144, {1, 1, 1, 1, 17, 59, 97, 233, 389, 597, 1013, 1631, 483}},
+{811, 13, 2153, {1, 1, 1, 11, 7, 41, 107, 53, 111, 125, 1513, 1921, 7647}},
+{812, 13, 2156, {1, 3, 3, 3, 31, 29, 117, 3, 365, 971, 1139, 2123, 5913}},
+{813, 13, 2162, {1, 1, 1, 13, 23, 3, 1, 167, 475, 639, 1811, 3841, 3081}},
+{814, 13, 2167, {1, 1, 5, 3, 5, 47, 65, 123, 275, 783, 95, 119, 7591}},
+{815, 13, 2178, {1, 3, 1, 15, 13, 33, 93, 237, 467, 431, 705, 4013, 4035}},
+{816, 13, 2183, {1, 3, 5, 1, 19, 7, 101, 231, 155, 737, 1381, 3343, 2051}},
+{817, 13, 2202, {1, 1, 5, 9, 15, 49, 45, 163, 433, 765, 2031, 201, 2589}},
+{818, 13, 2211, {1, 3, 7, 9, 19, 41, 31, 89, 93, 623, 105, 745, 4409}},
+{819, 13, 2214, {1, 1, 5, 1, 11, 45, 127, 85, 389, 439, 829, 477, 7965}},
+{820, 13, 2223, {1, 3, 3, 15, 13, 41, 1, 207, 435, 585, 311, 1725, 2737}},
+{821, 13, 2225, {1, 3, 3, 3, 13, 49, 21, 31, 197, 799, 1411, 2959, 7133}},
+{822, 13, 2232, {1, 3, 1, 3, 7, 43, 9, 141, 133, 579, 1059, 93, 957}},
+{823, 13, 2237, {1, 3, 7, 1, 15, 51, 23, 213, 381, 851, 699, 2261, 3419}},
+{824, 13, 2257, {1, 3, 5, 9, 25, 35, 67, 141, 35, 409, 1423, 365, 1645}},
+{825, 13, 2260, {1, 3, 3, 11, 15, 33, 27, 181, 93, 87, 1761, 3511, 1353}},
+{826, 13, 2267, {1, 3, 5, 3, 25, 63, 111, 137, 321, 819, 705, 1547, 7271}},
+{827, 13, 2274, {1, 3, 1, 1, 5, 57, 99, 59, 411, 757, 1371, 3953, 3695}},
+{828, 13, 2276, {1, 3, 5, 11, 11, 21, 25, 147, 239, 455, 709, 953, 7175}},
+{829, 13, 2285, {1, 3, 3, 15, 5, 53, 91, 205, 341, 63, 723, 1565, 7135}},
+{830, 13, 2288, {1, 1, 7, 15, 11, 21, 99, 79, 63, 593, 2007, 3629, 5271}},
+{831, 13, 2293, {1, 3, 3, 1, 9, 21, 45, 175, 453, 435, 1855, 2649, 6959}},
+{832, 13, 2294, {1, 1, 3, 15, 15, 33, 121, 121, 251, 431, 1127, 3305, 4199}},
+{833, 13, 2297, {1, 1, 1, 9, 31, 15, 71, 29, 345, 391, 1159, 2809, 345}},
+{834, 13, 2303, {1, 3, 7, 1, 23, 29, 95, 151, 327, 727, 647, 1623, 2971}},
+{835, 13, 2308, {1, 1, 7, 7, 9, 29, 79, 91, 127, 909, 1293, 1315, 5315}},
+{836, 13, 2311, {1, 1, 5, 11, 13, 37, 89, 73, 149, 477, 1909, 3343, 525}},
+{837, 13, 2318, {1, 3, 5, 7, 5, 59, 55, 255, 223, 459, 2027, 237, 4205}},
+{838, 13, 2323, {1, 1, 1, 7, 27, 11, 95, 65, 325, 835, 907, 3801, 3787}},
+{839, 13, 2332, {1, 1, 1, 11, 27, 33, 99, 175, 51, 913, 331, 1851, 4133}},
+{840, 13, 2341, {1, 3, 5, 5, 13, 37, 31, 99, 273, 409, 1827, 3845, 5491}},
+{841, 13, 2345, {1, 1, 3, 7, 23, 19, 107, 85, 283, 523, 509, 451, 421}},
+{842, 13, 2348, {1, 3, 5, 7, 13, 9, 51, 81, 87, 619, 61, 2803, 5271}},
+{843, 13, 2354, {1, 1, 1, 15, 9, 45, 35, 219, 401, 271, 953, 649, 6847}},
+{844, 13, 2368, {1, 1, 7, 11, 9, 45, 17, 219, 169, 837, 1483, 1605, 2901}},
+{845, 13, 2377, {1, 1, 7, 7, 21, 43, 37, 33, 291, 359, 71, 2899, 7037}},
+{846, 13, 2380, {1, 3, 3, 13, 31, 53, 37, 15, 149, 949, 551, 3445, 5455}},
+{847, 13, 2383, {1, 3, 1, 5, 19, 45, 81, 223, 193, 439, 2047, 3879, 789}},
+{848, 13, 2388, {1, 1, 7, 3, 11, 63, 35, 61, 255, 563, 459, 2991, 3359}},
+{849, 13, 2395, {1, 1, 5, 9, 13, 49, 47, 185, 239, 221, 1533, 3635, 2045}},
+{850, 13, 2397, {1, 3, 7, 3, 25, 37, 127, 223, 51, 357, 483, 3837, 6873}},
+{851, 13, 2401, {1, 1, 7, 9, 31, 37, 113, 31, 387, 833, 1243, 1543, 5535}},
+{852, 13, 2411, {1, 3, 1, 9, 23, 59, 119, 221, 73, 185, 2007, 2885, 2563}},
+{853, 13, 2413, {1, 1, 1, 13, 7, 33, 53, 179, 67, 185, 1541, 1807, 4659}},
+{854, 13, 2419, {1, 3, 1, 11, 31, 37, 23, 215, 269, 357, 207, 645, 4219}},
+{855, 13, 2435, {1, 3, 3, 13, 19, 27, 107, 55, 91, 71, 1695, 1815, 89}},
+{856, 13, 2442, {1, 1, 3, 15, 3, 19, 35, 247, 49, 529, 1523, 3317, 6151}},
+{857, 13, 2455, {1, 1, 7, 7, 23, 25, 107, 139, 483, 503, 1277, 243, 7879}},
+{858, 13, 2472, {1, 3, 3, 13, 3, 15, 11, 197, 135, 839, 985, 275, 5527}},
+{859, 13, 2478, {1, 3, 5, 3, 25, 47, 95, 21, 113, 307, 1001, 3065, 295}},
+{860, 13, 2490, {1, 1, 3, 9, 19, 19, 99, 213, 363, 449, 735, 2851, 2521}},
+{861, 13, 2507, {1, 1, 3, 9, 5, 49, 63, 61, 157, 857, 497, 2801, 6987}},
+{862, 13, 2509, {1, 1, 1, 9, 1, 41, 109, 119, 499, 939, 867, 3675, 8023}},
+{863, 13, 2517, {1, 3, 1, 1, 13, 33, 109, 123, 289, 3, 1271, 2773, 4265}},
+{864, 13, 2524, {1, 3, 1, 11, 9, 57, 83, 221, 95, 43, 1189, 457, 7133}},
+{865, 13, 2528, {1, 1, 7, 3, 11, 49, 33, 219, 229, 289, 685, 3359, 4495}},
+{866, 13, 2531, {1, 3, 1, 3, 19, 43, 67, 193, 41, 771, 407, 81, 3891}},
+{867, 13, 2538, {1, 1, 7, 11, 5, 29, 51, 175, 297, 539, 1, 2245, 6439}},
+{868, 13, 2545, {1, 3, 7, 15, 21, 33, 117, 183, 511, 489, 1283, 3281, 5979}},
+{869, 13, 2546, {1, 3, 7, 5, 9, 3, 125, 147, 359, 549, 369, 3049, 2405}},
+{870, 13, 2555, {1, 3, 5, 7, 19, 5, 65, 97, 483, 377, 1523, 1457, 2995}},
+{871, 13, 2557, {1, 1, 5, 1, 11, 21, 41, 113, 277, 131, 1475, 1043, 2367}},
+{872, 13, 2564, {1, 3, 3, 1, 15, 17, 101, 69, 443, 865, 817, 1421, 5231}},
+{873, 13, 2573, {1, 1, 3, 3, 3, 55, 95, 99, 75, 195, 1929, 3931, 5855}},
+{874, 13, 2579, {1, 3, 1, 3, 19, 23, 93, 213, 241, 551, 1307, 585, 7729}},
+{875, 13, 2592, {1, 3, 1, 11, 23, 15, 53, 249, 467, 519, 95, 741, 409}},
+{876, 13, 2598, {1, 1, 1, 15, 29, 37, 43, 203, 233, 877, 77, 1933, 2729}},
+{877, 13, 2607, {1, 3, 7, 11, 27, 39, 43, 161, 255, 15, 1463, 833, 495}},
+{878, 13, 2612, {1, 1, 7, 11, 3, 53, 81, 67, 375, 823, 1903, 3061, 395}},
+{879, 13, 2619, {1, 1, 1, 1, 15, 37, 93, 233, 247, 501, 1321, 3275, 5409}},
+{880, 13, 2621, {1, 3, 3, 7, 7, 11, 5, 105, 139, 983, 1239, 531, 3881}},
+{881, 13, 2627, {1, 1, 5, 3, 19, 49, 107, 227, 361, 101, 355, 2649, 7383}},
+{882, 13, 2633, {1, 1, 7, 5, 25, 41, 101, 121, 209, 293, 1937, 2259, 5557}},
+{883, 13, 2636, {1, 1, 3, 7, 7, 1, 9, 13, 463, 1019, 995, 3159, 107}},
+{884, 13, 2642, {1, 3, 5, 11, 5, 35, 127, 97, 261, 789, 807, 807, 6257}},
+{885, 13, 2654, {1, 1, 7, 5, 11, 13, 45, 91, 417, 101, 1973, 3645, 2107}},
+{886, 13, 2660, {1, 1, 3, 7, 5, 63, 57, 49, 203, 157, 115, 1393, 8117}},
+{887, 13, 2669, {1, 3, 5, 5, 3, 43, 15, 155, 127, 489, 1165, 3701, 4867}},
+{888, 13, 2675, {1, 1, 7, 7, 29, 29, 69, 215, 415, 367, 371, 1901, 6075}},
+{889, 13, 2684, {1, 1, 1, 3, 11, 33, 89, 149, 433, 705, 1437, 1597, 505}},
+{890, 13, 2694, {1, 3, 5, 1, 13, 37, 19, 119, 5, 581, 2037, 1633, 2099}},
+{891, 13, 2703, {1, 3, 7, 13, 5, 49, 103, 245, 215, 515, 133, 2007, 1933}},
+{892, 13, 2706, {1, 3, 1, 9, 1, 3, 25, 197, 253, 387, 1683, 2267, 221}},
+{893, 13, 2712, {1, 3, 5, 15, 21, 9, 73, 201, 405, 999, 437, 3877, 6045}},
+{894, 13, 2715, {1, 1, 3, 1, 31, 55, 25, 83, 421, 395, 1807, 2129, 7797}},
+{895, 13, 2722, {1, 1, 3, 1, 23, 21, 121, 183, 125, 347, 143, 3685, 4317}},
+{896, 13, 2727, {1, 3, 3, 3, 17, 45, 17, 223, 267, 795, 1815, 1309, 155}},
+{897, 13, 2734, {1, 1, 1, 15, 17, 59, 5, 133, 15, 715, 1503, 153, 2887}},
+{898, 13, 2742, {1, 1, 1, 1, 27, 13, 119, 77, 243, 995, 1851, 3719, 4695}},
+{899, 13, 2745, {1, 3, 1, 5, 31, 49, 43, 165, 49, 609, 1265, 1141, 505}},
+{900, 13, 2751, {1, 1, 7, 13, 11, 63, 21, 253, 229, 585, 1543, 3719, 4141}},
+{901, 13, 2766, {1, 3, 7, 11, 23, 27, 17, 131, 295, 895, 1493, 1411, 3247}},
+{902, 13, 2768, {1, 1, 5, 9, 29, 7, 97, 15, 113, 445, 859, 1483, 1121}},
+{903, 13, 2780, {1, 3, 1, 9, 13, 49, 99, 107, 323, 201, 681, 3071, 5281}},
+{904, 13, 2790, {1, 1, 1, 15, 9, 19, 61, 161, 7, 87, 587, 2199, 2811}},
+{905, 13, 2794, {1, 3, 3, 15, 15, 19, 95, 45, 299, 829, 981, 3479, 487}},
+{906, 13, 2796, {1, 1, 1, 9, 3, 37, 7, 19, 227, 13, 397, 513, 1257}},
+{907, 13, 2801, {1, 1, 5, 15, 15, 13, 17, 111, 135, 929, 1145, 811, 1801}},
+{908, 13, 2804, {1, 3, 1, 3, 27, 57, 31, 19, 279, 103, 693, 631, 3409}},
+{909, 13, 2807, {1, 1, 1, 1, 15, 13, 67, 83, 23, 799, 1735, 2063, 3363}},
+{910, 13, 2816, {1, 3, 3, 7, 3, 1, 61, 31, 41, 533, 2025, 4067, 6963}},
+{911, 13, 2821, {1, 1, 5, 7, 17, 27, 81, 79, 107, 205, 29, 97, 4883}},
+{912, 13, 2831, {1, 1, 1, 5, 19, 49, 91, 201, 283, 949, 651, 3819, 5073}},
+{913, 13, 2834, {1, 1, 7, 9, 11, 13, 73, 197, 37, 219, 1931, 3369, 6017}},
+{914, 13, 2839, {1, 1, 7, 15, 11, 7, 75, 205, 7, 819, 399, 661, 6487}},
+{915, 13, 2845, {1, 3, 3, 3, 27, 37, 95, 41, 307, 165, 1077, 3485, 563}},
+{916, 13, 2852, {1, 3, 5, 3, 21, 49, 57, 179, 109, 627, 1789, 431, 2941}},
+{917, 13, 2856, {1, 1, 7, 5, 11, 19, 43, 137, 149, 679, 1543, 245, 1381}},
+{918, 13, 2861, {1, 3, 5, 5, 15, 3, 69, 81, 135, 159, 1363, 3401, 6355}},
+{919, 13, 2873, {1, 3, 5, 1, 9, 61, 49, 53, 319, 25, 1647, 1297, 615}},
+{920, 13, 2874, {1, 3, 5, 11, 31, 43, 9, 101, 71, 919, 335, 3147, 5823}},
+{921, 13, 2888, {1, 3, 1, 1, 15, 5, 29, 109, 511, 945, 867, 3677, 6915}},
+{922, 13, 2893, {1, 3, 3, 15, 17, 49, 91, 111, 215, 29, 1879, 97, 2505}},
+{923, 13, 2894, {1, 3, 1, 13, 19, 61, 11, 111, 163, 777, 533, 1113, 5339}},
+{924, 13, 2902, {1, 1, 7, 9, 17, 55, 117, 91, 455, 289, 557, 913, 4455}},
+{925, 13, 2917, {1, 3, 1, 7, 25, 19, 123, 37, 1, 277, 717, 2965, 4469}},
+{926, 13, 2921, {1, 3, 7, 3, 19, 23, 87, 235, 209, 457, 2041, 2893, 1805}},
+{927, 13, 2922, {1, 3, 3, 5, 5, 43, 23, 61, 351, 791, 59, 2009, 2909}},
+{928, 13, 2929, {1, 1, 3, 7, 5, 1, 27, 231, 385, 257, 1261, 2701, 1807}},
+{929, 13, 2935, {1, 3, 1, 1, 27, 19, 87, 253, 131, 685, 1743, 3983, 2651}},
+{930, 13, 2946, {1, 3, 7, 11, 21, 17, 11, 81, 191, 641, 1821, 3005, 7251}},
+{931, 13, 2951, {1, 3, 3, 5, 15, 31, 41, 213, 55, 931, 1953, 49, 6037}},
+{932, 13, 2957, {1, 1, 7, 15, 7, 27, 65, 223, 113, 79, 1875, 911, 5445}},
+{933, 13, 2960, {1, 3, 7, 7, 23, 55, 51, 167, 495, 25, 1585, 3447, 799}},
+{934, 13, 2966, {1, 1, 3, 7, 27, 15, 95, 193, 337, 415, 975, 3085, 967}},
+{935, 13, 2972, {1, 1, 7, 15, 19, 7, 93, 41, 433, 551, 401, 3169, 3971}},
+{936, 13, 2976, {1, 1, 7, 11, 13, 15, 53, 69, 433, 59, 1117, 3359, 6231}},
+{937, 13, 2979, {1, 1, 7, 3, 23, 5, 115, 201, 225, 109, 1903, 3897, 6265}},
+{938, 13, 2985, {1, 1, 1, 11, 17, 1, 39, 143, 361, 659, 1105, 23, 4923}},
+{939, 13, 3000, {1, 1, 1, 9, 27, 57, 85, 227, 261, 119, 1881, 3965, 6999}},
+{940, 13, 3003, {1, 3, 7, 7, 15, 7, 107, 17, 315, 49, 1591, 905, 7789}},
+{941, 13, 3013, {1, 3, 1, 7, 29, 3, 47, 237, 157, 769, 839, 3199, 3195}},
+{942, 13, 3018, {1, 1, 3, 15, 25, 39, 63, 15, 111, 857, 881, 1505, 7671}},
+{943, 13, 3020, {1, 1, 7, 1, 3, 35, 41, 215, 99, 895, 1025, 1483, 4707}},
+{944, 13, 3025, {1, 3, 5, 1, 1, 31, 25, 247, 113, 841, 397, 1825, 6969}},
+{945, 13, 3042, {1, 1, 3, 5, 19, 41, 49, 243, 225, 973, 241, 175, 1041}},
+{946, 13, 3047, {1, 1, 1, 7, 15, 15, 105, 141, 83, 75, 1675, 3523, 5219}},
+{947, 13, 3048, {1, 1, 7, 5, 13, 27, 47, 199, 445, 841, 959, 1157, 2209}},
+{948, 13, 3051, {1, 3, 5, 15, 23, 31, 31, 81, 85, 33, 785, 2639, 7799}},
+{949, 13, 3054, {1, 1, 5, 13, 21, 3, 47, 99, 235, 943, 1731, 2467, 7891}},
+{950, 13, 3056, {1, 1, 1, 3, 17, 53, 85, 219, 73, 131, 1339, 875, 1191}},
+{951, 13, 3065, {1, 1, 5, 7, 17, 63, 113, 7, 185, 557, 749, 3563, 4973}},
+{952, 13, 3073, {1, 3, 3, 15, 15, 21, 43, 111, 155, 689, 345, 423, 3597}},
+{953, 13, 3074, {1, 1, 5, 1, 15, 29, 93, 5, 361, 713, 695, 3937, 425}},
+{954, 13, 3083, {1, 3, 7, 7, 13, 41, 115, 175, 315, 937, 123, 2841, 4457}},
+{955, 13, 3086, {1, 1, 3, 11, 25, 5, 103, 53, 423, 811, 657, 399, 7257}},
+{956, 13, 3091, {1, 1, 1, 1, 1, 13, 101, 211, 383, 325, 97, 1703, 4429}},
+{957, 13, 3097, {1, 3, 7, 9, 31, 45, 83, 157, 509, 701, 841, 1105, 3643}},
+{958, 13, 3109, {1, 1, 1, 7, 1, 9, 69, 17, 129, 281, 1161, 2945, 7693}},
+{959, 13, 3116, {1, 3, 7, 1, 11, 29, 51, 143, 77, 433, 1723, 2317, 5641}},
+{960, 13, 3124, {1, 1, 1, 1, 21, 43, 13, 67, 177, 505, 1629, 1267, 4885}},
+{961, 13, 3128, {1, 1, 3, 11, 27, 63, 111, 47, 233, 781, 453, 1679, 3209}},
+{962, 13, 3153, {1, 1, 3, 13, 29, 27, 119, 141, 493, 971, 461, 1159, 633}},
+{963, 13, 3160, {1, 1, 3, 15, 23, 5, 79, 215, 163, 149, 1805, 2399, 61}},
+{964, 13, 3165, {1, 3, 5, 13, 19, 5, 1, 39, 409, 561, 709, 829, 1357}},
+{965, 13, 3172, {1, 3, 3, 13, 19, 43, 9, 177, 449, 447, 73, 2107, 5669}},
+{966, 13, 3175, {1, 3, 5, 1, 23, 13, 63, 109, 203, 593, 829, 4017, 6881}},
+{967, 13, 3184, {1, 1, 5, 7, 3, 9, 53, 175, 391, 169, 1283, 3793, 4451}},
+{968, 13, 3193, {1, 1, 5, 7, 29, 43, 9, 5, 209, 77, 927, 2941, 8145}},
+{969, 13, 3196, {1, 3, 5, 15, 17, 49, 5, 143, 131, 771, 1685, 925, 2175}},
+{970, 13, 3200, {1, 1, 3, 11, 27, 27, 27, 159, 161, 1015, 1587, 4049, 1983}},
+{971, 13, 3203, {1, 3, 1, 3, 23, 57, 119, 67, 481, 577, 389, 3319, 5325}},
+{972, 13, 3205, {1, 3, 5, 1, 19, 39, 87, 61, 329, 657, 1773, 31, 1707}},
+{973, 13, 3209, {1, 1, 3, 1, 5, 25, 15, 241, 131, 815, 1751, 3029, 8039}},
+{974, 13, 3224, {1, 3, 3, 13, 27, 13, 77, 87, 437, 57, 621, 1031, 7891}},
+{975, 13, 3239, {1, 3, 1, 13, 23, 51, 117, 37, 331, 745, 605, 3179, 4713}},
+{976, 13, 3251, {1, 1, 5, 5, 19, 17, 99, 167, 87, 721, 737, 789, 2165}},
+{977, 13, 3254, {1, 3, 5, 13, 1, 51, 119, 211, 165, 299, 1327, 3053, 3343}},
+{978, 13, 3265, {1, 1, 5, 15, 29, 45, 17, 129, 67, 345, 1553, 2705, 7369}},
+{979, 13, 3266, {1, 1, 1, 9, 23, 7, 13, 209, 7, 407, 317, 3077, 7287}},
+{980, 13, 3275, {1, 1, 1, 5, 9, 59, 89, 3, 487, 451, 505, 2499, 7563}},
+{981, 13, 3280, {1, 3, 1, 7, 21, 1, 21, 203, 101, 417, 1389, 2751, 1397}},
+{982, 13, 3283, {1, 3, 7, 13, 7, 31, 3, 247, 349, 485, 1259, 549, 6321}},
+{983, 13, 3286, {1, 1, 7, 7, 27, 33, 107, 197, 293, 729, 1753, 2571, 103}},
+{984, 13, 3301, {1, 3, 5, 9, 25, 35, 5, 253, 137, 213, 2041, 3387, 1809}},
+{985, 13, 3302, {1, 1, 7, 13, 15, 35, 67, 83, 295, 175, 839, 2831, 839}},
+{986, 13, 3305, {1, 3, 3, 11, 3, 17, 55, 141, 247, 991, 117, 3799, 1221}},
+{987, 13, 3319, {1, 1, 5, 1, 11, 37, 87, 233, 457, 653, 899, 2933, 3105}},
+{988, 13, 3323, {1, 1, 3, 15, 3, 31, 67, 167, 437, 9, 651, 1109, 1139}},
+{989, 13, 3326, {1, 1, 3, 1, 7, 63, 67, 17, 11, 883, 1855, 1941, 4751}},
+{990, 13, 3331, {1, 3, 7, 9, 19, 33, 113, 117, 495, 39, 1795, 2561, 5519}},
+{991, 13, 3348, {1, 1, 7, 5, 1, 3, 103, 37, 201, 223, 1101, 877, 6483}},
+{992, 13, 3351, {1, 1, 5, 9, 29, 49, 51, 33, 439, 917, 861, 1321, 2135}},
+{993, 13, 3358, {1, 1, 3, 3, 1, 5, 17, 93, 217, 619, 613, 1357, 6095}},
+{994, 13, 3368, {1, 3, 1, 11, 3, 21, 5, 41, 15, 175, 843, 2937, 6849}},
+{995, 13, 3374, {1, 3, 3, 7, 9, 57, 55, 127, 79, 287, 445, 2205, 7989}},
+{996, 13, 3376, {1, 1, 7, 13, 23, 17, 93, 129, 157, 135, 1747, 1813, 4183}},
+{997, 13, 3379, {1, 1, 1, 5, 31, 59, 99, 33, 425, 329, 887, 367, 1761}},
+{998, 13, 3385, {1, 1, 7, 9, 17, 53, 77, 139, 435, 387, 49, 3649, 1773}},
+{999, 13, 3386, {1, 3, 3, 15, 21, 57, 45, 161, 331, 719, 273, 3479, 4173}},
+{1000, 13, 3396, {1, 1, 3, 9, 3, 3, 105, 201, 373, 877, 919, 1263, 6649}},
+{1001, 13, 3420, {1, 3, 1, 15, 13, 43, 13, 99, 73, 163, 353, 3569, 5601}},
+{1002, 13, 3423, {1, 3, 7, 3, 5, 9, 69, 177, 449, 47, 781, 1125, 4245}},
+{1003, 13, 3430, {1, 1, 1, 5, 3, 45, 1, 123, 409, 903, 205, 2057, 7637}},
+{1004, 13, 3433, {1, 3, 5, 9, 19, 47, 87, 135, 481, 799, 101, 3409, 2241}},
+{1005, 13, 3434, {1, 3, 1, 13, 3, 25, 15, 27, 181, 967, 669, 2577, 7249}},
+{1006, 13, 3439, {1, 1, 7, 3, 31, 5, 103, 53, 1, 911, 1209, 3697, 6685}},
+{1007, 13, 3442, {1, 1, 3, 1, 5, 5, 49, 135, 281, 747, 761, 2973, 7963}},
+{1008, 13, 3444, {1, 3, 3, 5, 19, 61, 125, 199, 299, 515, 1365, 369, 7027}},
+{1009, 13, 3453, {1, 3, 1, 7, 5, 41, 63, 229, 283, 571, 147, 447, 657}},
+{1010, 13, 3464, {1, 3, 1, 11, 5, 15, 55, 7, 259, 61, 27, 1429, 5631}},
+{1011, 13, 3477, {1, 1, 5, 1, 3, 53, 51, 253, 155, 553, 1293, 3735, 6567}},
+{1012, 13, 3478, {1, 3, 5, 9, 5, 41, 21, 159, 101, 785, 1981, 3799, 7693}},
+{1013, 13, 3482, {1, 3, 7, 7, 9, 3, 95, 105, 129, 213, 1215, 1027, 5699}},
+{1014, 13, 3487, {1, 1, 3, 3, 29, 13, 9, 253, 449, 321, 341, 2879, 171}},
+{1015, 13, 3497, {1, 3, 7, 11, 21, 11, 75, 35, 43, 965, 675, 2217, 7175}},
+{1016, 13, 3500, {1, 1, 5, 15, 31, 5, 29, 137, 311, 751, 47, 1367, 5921}},
+{1017, 13, 3505, {1, 1, 3, 15, 17, 1, 45, 69, 55, 649, 835, 569, 7615}},
+{1018, 13, 3506, {1, 3, 1, 13, 31, 7, 23, 15, 391, 145, 1845, 1825, 1403}},
+{1019, 13, 3511, {1, 1, 3, 15, 5, 9, 79, 77, 105, 399, 1933, 2503, 4781}},
+{1020, 13, 3512, {1, 3, 1, 3, 17, 47, 19, 13, 107, 475, 759, 2933, 3761}},
+{1021, 13, 3515, {1, 1, 7, 11, 3, 7, 121, 209, 397, 877, 293, 847, 7039}},
+{1022, 13, 3525, {1, 1, 1, 15, 29, 45, 5, 109, 335, 461, 143, 931, 4045}},
+{1023, 13, 3532, {1, 3, 1, 7, 11, 57, 73, 89, 201, 173, 803, 3953, 5205}},
+{1024, 13, 3538, {1, 1, 5, 11, 11, 33, 37, 29, 263, 1019, 657, 1453, 7807}},
+{1025, 13, 3540, {1, 3, 3, 13, 31, 25, 37, 47, 261, 607, 1703, 2603, 417}},
+{1026, 13, 3547, {1, 1, 1, 1, 31, 61, 45, 115, 275, 239, 1989, 1897, 4329}},
+{1027, 13, 3549, {1, 3, 5, 3, 31, 3, 11, 173, 335, 579, 1193, 2219, 7875}},
+{1028, 13, 3560, {1, 1, 7, 9, 29, 45, 13, 67, 399, 177, 1293, 3865, 2225}},
+{1029, 13, 3571, {1, 1, 7, 11, 11, 51, 121, 227, 469, 905, 929, 2635, 4165}},
+{1030, 13, 3577, {1, 3, 7, 9, 13, 39, 55, 167, 23, 147, 1603, 2083, 4645}},
+{1031, 13, 3583, {1, 1, 3, 15, 27, 53, 11, 155, 157, 629, 259, 3009, 4605}},
+{1032, 13, 3590, {1, 3, 1, 7, 15, 47, 51, 1, 259, 603, 887, 2833, 6581}},
+{1033, 13, 3593, {1, 3, 5, 3, 1, 47, 91, 43, 361, 571, 29, 1453, 4269}},
+{1034, 13, 3594, {1, 1, 3, 9, 11, 51, 55, 23, 415, 277, 1423, 3475, 1527}},
+{1035, 13, 3599, {1, 1, 3, 11, 29, 49, 101, 75, 299, 709, 805, 4037, 4389}},
+{1036, 13, 3601, {1, 1, 7, 3, 23, 1, 37, 51, 379, 771, 1301, 3717, 6673}},
+{1037, 13, 3602, {1, 1, 5, 3, 23, 11, 125, 177, 375, 665, 951, 1577, 2603}},
+{1038, 13, 3613, {1, 1, 1, 1, 1, 5, 71, 255, 21, 459, 467, 2083, 5415}},
+{1039, 13, 3623, {1, 1, 5, 13, 23, 29, 109, 157, 363, 971, 549, 647, 1177}},
+{1040, 13, 3630, {1, 1, 3, 9, 7, 15, 101, 3, 365, 213, 745, 1155, 6099}},
+{1041, 13, 3638, {1, 3, 5, 15, 15, 19, 47, 179, 303, 521, 1279, 219, 2415}},
+{1042, 13, 3649, {1, 3, 3, 13, 27, 11, 83, 165, 369, 989, 261, 3933, 4809}},
+{1043, 13, 3655, {1, 1, 3, 11, 31, 59, 1, 185, 53, 703, 1471, 2935, 1107}},
+{1044, 13, 3662, {1, 3, 3, 7, 25, 3, 81, 27, 93, 521, 433, 2859, 5861}},
+{1045, 13, 3667, {1, 3, 3, 11, 29, 15, 49, 167, 315, 927, 543, 3473, 4307}},
+{1046, 13, 3669, {1, 3, 1, 3, 29, 33, 53, 15, 183, 691, 703, 1311, 3393}},
+{1047, 13, 3676, {1, 3, 5, 13, 23, 49, 3, 11, 1, 357, 1407, 415, 7211}},
+{1048, 13, 3683, {1, 3, 7, 15, 1, 25, 91, 113, 323, 371, 189, 925, 1181}},
+{1049, 13, 3700, {1, 3, 3, 3, 17, 59, 119, 199, 115, 223, 877, 2193, 193}},
+{1050, 13, 3709, {1, 1, 1, 5, 5, 35, 31, 59, 437, 411, 37, 2405, 3797}},
+{1051, 13, 3710, {1, 3, 1, 13, 9, 37, 1, 241, 59, 157, 1785, 1223, 563}},
+{1052, 13, 3713, {1, 3, 5, 13, 3, 21, 25, 95, 15, 745, 85, 701, 5361}},
+{1053, 13, 3723, {1, 3, 7, 1, 31, 33, 111, 195, 35, 913, 2013, 2951, 6611}},
+{1054, 13, 3725, {1, 3, 5, 1, 19, 3, 75, 119, 111, 409, 951, 1457, 4957}},
+{1055, 13, 3728, {1, 3, 1, 15, 19, 59, 3, 155, 237, 657, 1967, 3323, 6235}},
+{1056, 13, 3734, {1, 1, 5, 1, 3, 19, 45, 105, 377, 881, 167, 2255, 4483}},
+{1057, 13, 3737, {1, 1, 7, 7, 13, 13, 99, 89, 201, 279, 161, 2483, 6001}},
+{1058, 13, 3738, {1, 1, 7, 3, 13, 17, 97, 129, 137, 377, 1519, 183, 3725}},
+{1059, 13, 3744, {1, 1, 7, 9, 9, 5, 45, 135, 115, 181, 1685, 3505, 4387}},
+{1060, 13, 3750, {1, 1, 1, 1, 19, 35, 69, 113, 305, 419, 949, 2969, 247}},
+{1061, 13, 3762, {1, 1, 5, 13, 23, 61, 13, 139, 501, 811, 67, 1501, 6493}},
+{1062, 13, 3764, {1, 1, 3, 13, 15, 41, 27, 217, 293, 13, 145, 2631, 6991}},
+{1063, 13, 3774, {1, 3, 3, 13, 15, 37, 71, 123, 285, 49, 627, 1283, 5993}},
+{1064, 13, 3776, {1, 3, 3, 11, 9, 25, 11, 1, 203, 353, 1347, 1999, 2799}},
+{1065, 13, 3786, {1, 3, 5, 1, 7, 49, 101, 231, 499, 63, 1977, 2207, 7829}},
+{1066, 13, 3800, {1, 1, 7, 1, 17, 15, 115, 139, 381, 943, 623, 4037, 2971}},
+{1067, 13, 3803, {1, 1, 3, 5, 13, 55, 23, 87, 139, 795, 1669, 1375, 1185}},
+{1068, 13, 3809, {1, 3, 3, 5, 5, 45, 97, 253, 241, 333, 645, 555, 7867}},
+{1069, 13, 3816, {1, 3, 5, 1, 1, 1, 89, 27, 407, 509, 1433, 609, 2355}},
+{1070, 13, 3821, {1, 3, 7, 1, 27, 29, 5, 157, 495, 811, 1293, 1143, 827}},
+{1071, 13, 3827, {1, 1, 3, 3, 25, 49, 127, 111, 191, 3, 845, 1383, 2521}},
+{1072, 13, 3829, {1, 1, 5, 7, 5, 51, 101, 155, 237, 461, 831, 3091, 3851}},
+{1073, 13, 3836, {1, 3, 7, 1, 29, 35, 105, 91, 285, 705, 131, 395, 6011}},
+{1074, 13, 3842, {1, 3, 5, 3, 13, 21, 83, 173, 221, 827, 1775, 1931, 6727}},
+{1075, 13, 3844, {1, 1, 3, 5, 3, 25, 95, 115, 205, 569, 1447, 933, 6425}},
+{1076, 13, 3847, {1, 1, 7, 9, 31, 3, 17, 175, 145, 447, 1321, 1069, 6527}},
+{1077, 13, 3853, {1, 1, 3, 3, 23, 1, 79, 51, 421, 419, 873, 3939, 1801}},
+{1078, 13, 3861, {1, 1, 5, 1, 3, 39, 15, 85, 169, 669, 919, 397, 5579}},
+{1079, 13, 3871, {1, 3, 5, 1, 21, 61, 87, 217, 251, 619, 1091, 4009, 229}},
+{1080, 13, 3872, {1, 1, 1, 11, 23, 55, 85, 121, 363, 867, 315, 447, 3373}},
+{1081, 13, 3881, {1, 3, 3, 13, 29, 19, 89, 85, 137, 469, 1873, 2765, 3975}},
+{1082, 13, 3890, {1, 3, 7, 13, 19, 63, 61, 77, 67, 361, 11, 1787, 4703}},
+{1083, 13, 3892, {1, 1, 3, 11, 7, 15, 127, 105, 179, 857, 1671, 3647, 3389}},
+{1084, 13, 3909, {1, 1, 1, 7, 19, 21, 99, 161, 499, 519, 1287, 2973, 479}},
+{1085, 13, 3921, {1, 1, 3, 13, 29, 51, 95, 251, 55, 519, 1955, 2881, 5951}},
+{1086, 13, 3934, {1, 1, 3, 11, 23, 63, 121, 237, 175, 311, 701, 1539, 2383}},
+{1087, 13, 3938, {1, 1, 7, 5, 5, 45, 73, 97, 5, 153, 715, 2037, 3353}},
+{1088, 13, 3947, {1, 1, 1, 3, 13, 7, 67, 173, 425, 843, 1497, 2729, 5193}},
+{1089, 13, 3950, {1, 1, 7, 1, 23, 3, 119, 11, 77, 141, 1905, 2269, 4269}},
+{1090, 13, 3952, {1, 1, 7, 15, 1, 23, 79, 251, 439, 603, 405, 2449, 6383}},
+{1091, 13, 3964, {1, 3, 7, 11, 29, 27, 47, 255, 47, 661, 1967, 1007, 3689}},
+{1092, 13, 3974, {1, 3, 7, 5, 19, 39, 35, 115, 417, 373, 291, 329, 603}},
+{1093, 13, 3980, {1, 3, 1, 9, 11, 33, 27, 193, 207, 423, 1311, 1369, 7307}},
+{1094, 13, 3983, {1, 1, 3, 11, 9, 29, 83, 17, 497, 493, 329, 3141, 5935}},
+{1095, 13, 3986, {1, 3, 1, 5, 31, 51, 29, 171, 51, 493, 1621, 3501, 4091}},
+{1096, 13, 3995, {1, 1, 5, 9, 21, 43, 105, 207, 245, 363, 1191, 699, 1139}},
+{1097, 13, 3998, {1, 1, 3, 11, 19, 5, 81, 119, 247, 169, 1337, 45, 6565}},
+{1098, 13, 4001, {1, 3, 1, 11, 3, 51, 3, 101, 159, 11, 253, 299, 5043}},
+{1099, 13, 4002, {1, 3, 1, 5, 11, 53, 85, 39, 57, 645, 2007, 1039, 3627}},
+{1100, 13, 4004, {1, 3, 5, 3, 17, 61, 97, 165, 415, 357, 283, 601, 5505}},
+{1101, 13, 4008, {1, 3, 7, 3, 9, 51, 49, 85, 3, 227, 137, 309, 243}},
+{1102, 13, 4011, {1, 1, 5, 3, 11, 59, 11, 131, 409, 703, 455, 123, 6727}},
+{1103, 13, 4016, {1, 3, 7, 9, 25, 49, 21, 171, 287, 379, 667, 313, 713}},
+{1104, 13, 4033, {1, 1, 3, 9, 7, 35, 47, 3, 367, 581, 1627, 1665, 3905}},
+{1105, 13, 4036, {1, 3, 1, 1, 29, 57, 35, 55, 255, 653, 823, 2197, 6179}},
+{1106, 13, 4040, {1, 3, 7, 15, 17, 15, 117, 83, 359, 163, 115, 2999, 5373}},
+{1107, 13, 4053, {1, 1, 5, 3, 21, 61, 35, 97, 71, 687, 207, 2917, 1049}},
+{1108, 13, 4058, {1, 1, 1, 15, 13, 15, 125, 81, 263, 661, 417, 3243, 1669}},
+{1109, 13, 4081, {1, 1, 7, 3, 3, 19, 111, 193, 443, 339, 659, 1211, 1557}},
+{1110, 13, 4091, {1, 3, 1, 3, 27, 3, 3, 173, 391, 213, 803, 3281, 3207}},
+{1111, 13, 4094, {1, 1, 5, 15, 19, 1, 7, 211, 157, 603, 403, 1387, 1583}},
+{1112, 14, 21, {1, 3, 5, 13, 17, 53, 125, 13, 339, 723, 521, 413, 5801, 10451}},
+{1113, 14, 28, {1, 1, 3, 13, 29, 9, 99, 77, 141, 609, 1533, 983, 2039, 51}},
+{1114, 14, 41, {1, 1, 3, 11, 21, 55, 5, 51, 423, 309, 525, 3715, 3025, 15055}},
+{1115, 14, 47, {1, 1, 3, 7, 9, 21, 77, 171, 239, 341, 1653, 1093, 2273, 10723}},
+{1116, 14, 61, {1, 1, 1, 15, 31, 15, 23, 35, 317, 869, 1917, 1415, 4313, 3687}},
+{1117, 14, 84, {1, 1, 1, 5, 21, 25, 99, 167, 439, 453, 473, 431, 6665, 4989}},
+{1118, 14, 87, {1, 1, 7, 9, 31, 47, 81, 83, 345, 43, 1363, 1885, 3155, 3185}},
+{1119, 14, 93, {1, 3, 7, 1, 31, 17, 61, 185, 341, 129, 547, 717, 2071, 9991}},
+{1120, 14, 94, {1, 3, 1, 13, 23, 61, 77, 217, 455, 77, 1263, 1601, 3501, 14953}},
+{1121, 14, 103, {1, 1, 7, 7, 19, 19, 1, 229, 431, 943, 1069, 1949, 1289, 15729}},
+{1122, 14, 117, {1, 1, 3, 5, 1, 35, 97, 251, 487, 459, 1265, 1739, 165, 10365}},
+{1123, 14, 121, {1, 3, 5, 3, 11, 25, 79, 175, 383, 545, 187, 197, 4329, 3363}},
+{1124, 14, 134, {1, 1, 3, 3, 29, 9, 63, 55, 175, 277, 431, 2549, 2629, 6409}},
+{1125, 14, 137, {1, 1, 3, 15, 17, 21, 79, 139, 99, 135, 1763, 1805, 3471, 5439}},
+{1126, 14, 157, {1, 1, 3, 9, 9, 15, 35, 119, 289, 835, 769, 3843, 4119, 4421}},
+{1127, 14, 161, {1, 1, 1, 5, 19, 19, 67, 199, 307, 815, 1367, 1231, 3927, 6593}},
+{1128, 14, 205, {1, 1, 3, 1, 29, 51, 121, 209, 431, 47, 1115, 907, 2535, 9755}},
+{1129, 14, 206, {1, 1, 3, 5, 17, 1, 5, 119, 121, 223, 1719, 1291, 3947, 15891}},
+{1130, 14, 211, {1, 3, 1, 15, 29, 25, 3, 131, 373, 307, 645, 3513, 1289, 1987}},
+{1131, 14, 214, {1, 3, 3, 11, 29, 45, 105, 179, 331, 465, 891, 1315, 403, 3057}},
+{1132, 14, 218, {1, 1, 5, 13, 17, 59, 77, 127, 485, 855, 1147, 3093, 891, 9869}},
+{1133, 14, 234, {1, 1, 1, 7, 23, 27, 31, 203, 285, 463, 827, 685, 1349, 15051}},
+{1134, 14, 236, {1, 1, 1, 5, 29, 5, 107, 195, 31, 425, 19, 2865, 3869, 11153}},
+{1135, 14, 248, {1, 1, 7, 5, 7, 47, 1, 73, 307, 347, 393, 2205, 7709, 15121}},
+{1136, 14, 262, {1, 1, 1, 13, 15, 61, 25, 131, 113, 369, 1995, 2527, 4475, 1745}},
+{1137, 14, 299, {1, 1, 1, 1, 31, 63, 21, 253, 307, 281, 859, 3319, 6721, 2891}},
+{1138, 14, 304, {1, 1, 3, 11, 1, 17, 5, 183, 301, 979, 651, 1685, 6343, 10067}},
+{1139, 14, 319, {1, 1, 5, 15, 23, 45, 99, 145, 263, 507, 1381, 3425, 2215, 1815}},
+{1140, 14, 322, {1, 3, 1, 5, 11, 63, 85, 203, 411, 881, 1369, 1237, 4657, 6541}},
+{1141, 14, 334, {1, 3, 3, 13, 17, 53, 121, 201, 269, 983, 215, 3187, 7121, 6111}},
+{1142, 14, 355, {1, 3, 5, 15, 15, 5, 13, 143, 3, 313, 1677, 1093, 3295, 3387}},
+{1143, 14, 357, {1, 1, 3, 13, 3, 23, 73, 17, 257, 965, 239, 1271, 2803, 7327}},
+{1144, 14, 358, {1, 3, 5, 13, 9, 57, 115, 37, 41, 467, 135, 1403, 3811, 4741}},
+{1145, 14, 369, {1, 3, 7, 15, 9, 33, 39, 203, 351, 367, 1355, 1403, 3685, 4757}},
+{1146, 14, 372, {1, 3, 5, 11, 31, 3, 113, 123, 203, 421, 1821, 3151, 2375, 4419}},
+{1147, 14, 375, {1, 1, 1, 7, 21, 63, 99, 23, 133, 79, 991, 1755, 4989, 4709}},
+{1148, 14, 388, {1, 3, 5, 1, 25, 63, 113, 239, 49, 443, 173, 1261, 3201, 10599}},
+{1149, 14, 400, {1, 3, 3, 13, 3, 25, 101, 169, 23, 585, 327, 1327, 111, 10059}},
+{1150, 14, 415, {1, 3, 3, 5, 19, 1, 33, 89, 437, 213, 1933, 1741, 2603, 5625}},
+{1151, 14, 446, {1, 3, 1, 3, 15, 15, 25, 139, 73, 335, 237, 2461, 3101, 14951}},
+{1152, 14, 451, {1, 3, 5, 1, 31, 15, 31, 187, 177, 659, 1339, 3767, 4975, 7123}},
+{1153, 14, 458, {1, 3, 1, 3, 25, 19, 47, 89, 107, 107, 649, 683, 3123, 11085}},
+{1154, 14, 471, {1, 3, 7, 9, 15, 21, 101, 25, 11, 625, 1555, 675, 3893, 5805}},
+{1155, 14, 484, {1, 1, 1, 5, 7, 49, 123, 21, 439, 369, 207, 535, 4619, 14665}},
+{1156, 14, 501, {1, 1, 5, 7, 1, 25, 103, 185, 99, 239, 1093, 1561, 6177, 4039}},
+{1157, 14, 502, {1, 3, 7, 5, 29, 21, 43, 103, 343, 973, 1561, 2975, 7467, 7947}},
+{1158, 14, 517, {1, 1, 7, 9, 19, 3, 13, 23, 461, 813, 1191, 985, 559, 3317}},
+{1159, 14, 545, {1, 3, 5, 5, 27, 31, 79, 15, 365, 901, 1949, 117, 3619, 13311}},
+{1160, 14, 569, {1, 3, 5, 7, 5, 33, 67, 199, 425, 189, 1691, 3099, 815, 1677}},
+{1161, 14, 617, {1, 1, 7, 11, 13, 29, 73, 137, 265, 601, 445, 3893, 2511, 8047}},
+{1162, 14, 618, {1, 1, 3, 1, 13, 5, 57, 101, 357, 391, 335, 601, 1359, 1065}},
+{1163, 14, 623, {1, 1, 1, 1, 25, 57, 27, 115, 31, 873, 611, 2125, 447, 13585}},
+{1164, 14, 625, {1, 3, 3, 13, 27, 17, 73, 11, 359, 33, 1153, 271, 4537, 15141}},
+{1165, 14, 637, {1, 3, 7, 3, 11, 63, 103, 61, 59, 629, 1629, 3279, 3919, 3177}},
+{1166, 14, 661, {1, 1, 5, 15, 3, 63, 85, 193, 381, 165, 175, 3247, 2501, 4209}},
+{1167, 14, 668, {1, 1, 5, 15, 1, 33, 59, 219, 487, 193, 1557, 703, 2907, 7953}},
+{1168, 14, 684, {1, 1, 7, 3, 9, 3, 105, 95, 389, 991, 21, 3841, 6983, 285}},
+{1169, 14, 695, {1, 1, 1, 1, 1, 31, 25, 137, 117, 67, 1283, 1963, 6591, 15541}},
+{1170, 14, 716, {1, 3, 5, 11, 7, 15, 127, 89, 453, 777, 1827, 2311, 7661, 11833}},
+{1171, 14, 719, {1, 1, 7, 13, 19, 29, 79, 165, 223, 453, 2039, 3961, 6467, 5481}},
+{1172, 14, 722, {1, 3, 3, 7, 17, 41, 43, 157, 323, 3, 1001, 2109, 4513, 12127}},
+{1173, 14, 731, {1, 1, 5, 9, 31, 57, 3, 217, 113, 271, 1663, 1367, 6949, 8165}},
+{1174, 14, 738, {1, 1, 7, 15, 27, 35, 81, 235, 61, 205, 525, 311, 6357, 2527}},
+{1175, 14, 747, {1, 3, 1, 9, 19, 29, 71, 207, 321, 1011, 1615, 1333, 3459, 6681}},
+{1176, 14, 755, {1, 3, 7, 7, 3, 57, 41, 19, 25, 397, 565, 1837, 7625, 11813}},
+{1177, 14, 761, {1, 3, 3, 1, 27, 47, 31, 79, 441, 961, 1255, 423, 2405, 913}},
+{1178, 14, 767, {1, 3, 3, 13, 3, 29, 69, 227, 85, 201, 395, 3199, 3869, 13099}},
+{1179, 14, 775, {1, 3, 3, 7, 29, 61, 99, 7, 27, 227, 945, 873, 475, 4363}},
+{1180, 14, 782, {1, 3, 5, 13, 19, 21, 57, 149, 217, 443, 565, 453, 5487, 10981}},
+{1181, 14, 787, {1, 3, 3, 1, 9, 27, 47, 191, 35, 395, 1429, 4079, 6871, 8013}},
+{1182, 14, 794, {1, 3, 5, 15, 5, 43, 9, 79, 279, 563, 1125, 985, 8117, 4099}},
+{1183, 14, 803, {1, 3, 5, 1, 13, 41, 21, 117, 287, 667, 701, 1483, 8167, 13283}},
+{1184, 14, 812, {1, 3, 1, 3, 15, 15, 59, 5, 383, 509, 1657, 3977, 7697, 10941}},
+{1185, 14, 817, {1, 3, 1, 1, 17, 29, 19, 23, 377, 45, 981, 1631, 3557, 6749}},
+{1186, 14, 824, {1, 3, 3, 9, 9, 51, 9, 193, 345, 361, 1679, 3333, 713, 5387}},
+{1187, 14, 829, {1, 3, 5, 5, 17, 45, 97, 17, 385, 349, 105, 2245, 7295, 14393}},
+{1188, 14, 850, {1, 3, 7, 3, 19, 51, 35, 99, 79, 301, 1563, 399, 5879, 14675}},
+{1189, 14, 866, {1, 1, 7, 15, 13, 53, 55, 203, 417, 161, 2033, 1845, 6763, 3585}},
+{1190, 14, 871, {1, 1, 3, 3, 7, 23, 11, 43, 241, 309, 1453, 3147, 2619, 3163}},
+{1191, 14, 877, {1, 1, 1, 11, 17, 1, 17, 137, 443, 465, 993, 3217, 7879, 14607}},
+{1192, 14, 920, {1, 1, 7, 13, 29, 49, 71, 217, 291, 793, 135, 21, 2503, 11091}},
+{1193, 14, 935, {1, 3, 1, 11, 31, 51, 121, 227, 377, 157, 1457, 1317, 5625, 6217}},
+{1194, 14, 959, {1, 1, 3, 7, 23, 61, 47, 93, 79, 617, 1805, 2403, 5513, 16335}},
+{1195, 14, 979, {1, 3, 5, 11, 23, 25, 41, 11, 495, 587, 1223, 3107, 1469, 15223}},
+{1196, 14, 992, {1, 3, 7, 7, 9, 1, 1, 49, 23, 723, 1761, 3717, 7375, 10875}},
+{1197, 14, 1010, {1, 3, 3, 11, 25, 37, 57, 63, 309, 603, 183, 285, 1663, 5627}},
+{1198, 14, 1012, {1, 3, 7, 11, 19, 25, 25, 201, 391, 257, 529, 1645, 1, 15111}},
+{1199, 14, 1015, {1, 3, 3, 9, 11, 43, 91, 65, 5, 959, 301, 1015, 6343, 3453}},
+{1200, 14, 1033, {1, 3, 3, 11, 17, 17, 103, 37, 77, 973, 575, 439, 49, 3639}},
+{1201, 14, 1036, {1, 1, 5, 7, 1, 15, 107, 237, 231, 967, 923, 1101, 6715, 1713}},
+{1202, 14, 1053, {1, 3, 1, 15, 9, 33, 29, 211, 245, 601, 1783, 887, 1209, 11785}},
+{1203, 14, 1057, {1, 3, 3, 7, 21, 43, 27, 89, 27, 141, 865, 367, 1379, 4063}},
+{1204, 14, 1069, {1, 3, 7, 7, 15, 17, 15, 15, 131, 649, 1955, 3289, 3983, 10689}},
+{1205, 14, 1072, {1, 3, 1, 5, 17, 7, 125, 69, 359, 981, 1345, 933, 5281, 7113}},
+{1206, 14, 1075, {1, 1, 5, 9, 17, 7, 41, 207, 497, 1015, 493, 891, 3563, 3541}},
+{1207, 14, 1087, {1, 3, 5, 11, 27, 3, 47, 31, 303, 1007, 2047, 2203, 6257, 8369}},
+{1208, 14, 1089, {1, 1, 1, 15, 25, 15, 89, 51, 217, 357, 1133, 1917, 213, 3365}},
+{1209, 14, 1137, {1, 1, 5, 13, 29, 23, 123, 207, 429, 805, 819, 2357, 6313, 11019}},
+{1210, 14, 1166, {1, 1, 3, 7, 19, 15, 41, 73, 279, 11, 1089, 3107, 7737, 15953}},
+{1211, 14, 1174, {1, 3, 5, 7, 7, 15, 41, 73, 493, 457, 1731, 1139, 2513, 12373}},
+{1212, 14, 1180, {1, 3, 5, 9, 17, 5, 55, 155, 173, 1005, 529, 3175, 7667, 4747}},
+{1213, 14, 1204, {1, 1, 7, 7, 5, 21, 105, 31, 205, 847, 1033, 3167, 2347, 8499}},
+{1214, 14, 1211, {1, 3, 5, 3, 11, 17, 59, 189, 179, 1007, 33, 3287, 4813, 8177}},
+{1215, 14, 1219, {1, 3, 3, 13, 27, 47, 47, 171, 413, 875, 1081, 1259, 7139, 8645}},
+{1216, 14, 1236, {1, 3, 5, 7, 25, 21, 51, 29, 361, 293, 51, 1119, 1453, 5283}},
+{1217, 14, 1255, {1, 3, 7, 7, 29, 55, 103, 199, 511, 341, 1957, 3987, 2855, 1279}},
+{1218, 14, 1264, {1, 1, 1, 9, 23, 51, 61, 63, 391, 37, 55, 3771, 6517, 15913}},
+{1219, 14, 1306, {1, 1, 1, 9, 3, 19, 13, 147, 453, 855, 1321, 189, 5043, 11215}},
+{1220, 14, 1330, {1, 3, 3, 13, 23, 3, 87, 155, 401, 981, 607, 3413, 995, 6473}},
+{1221, 14, 1341, {1, 3, 1, 9, 29, 47, 95, 123, 421, 353, 1867, 2609, 2569, 14083}},
+{1222, 14, 1344, {1, 1, 5, 13, 25, 39, 29, 111, 125, 545, 1493, 2371, 6361, 6307}},
+{1223, 14, 1347, {1, 3, 3, 11, 13, 31, 87, 75, 27, 393, 921, 3655, 3343, 16349}},
+{1224, 14, 1349, {1, 1, 5, 9, 19, 19, 7, 129, 223, 715, 433, 1627, 4463, 2951}},
+{1225, 14, 1361, {1, 1, 7, 1, 31, 13, 49, 33, 89, 43, 1529, 725, 3809, 3427}},
+{1226, 14, 1380, {1, 1, 7, 3, 1, 27, 45, 9, 309, 875, 659, 2661, 553, 7069}},
+{1227, 14, 1390, {1, 1, 7, 15, 13, 37, 61, 19, 125, 683, 1227, 2255, 1455, 9339}},
+{1228, 14, 1404, {1, 3, 5, 7, 19, 7, 71, 21, 465, 645, 1885, 873, 7405, 1913}},
+{1229, 14, 1435, {1, 3, 1, 11, 11, 35, 79, 61, 79, 57, 1603, 3719, 6323, 16371}},
+{1230, 14, 1444, {1, 1, 7, 1, 29, 57, 85, 21, 205, 37, 2045, 683, 4901, 8223}},
+{1231, 14, 1453, {1, 1, 5, 13, 31, 31, 65, 131, 259, 535, 967, 3943, 2605, 2089}},
+{1232, 14, 1461, {1, 1, 7, 9, 27, 61, 39, 243, 207, 41, 1909, 3279, 1331, 4635}},
+{1233, 14, 1462, {1, 3, 3, 5, 11, 63, 105, 19, 169, 95, 773, 3175, 1869, 1797}},
+{1234, 14, 1465, {1, 3, 3, 15, 13, 33, 107, 197, 153, 795, 1477, 105, 4965, 991}},
+{1235, 14, 1468, {1, 3, 7, 11, 11, 37, 23, 149, 197, 3, 1035, 3857, 553, 1059}},
+{1236, 14, 1474, {1, 3, 1, 3, 17, 29, 89, 189, 193, 59, 1477, 3517, 2565, 7739}},
+{1237, 14, 1483, {1, 1, 1, 9, 23, 3, 25, 163, 469, 305, 1791, 3393, 6141, 8119}},
+{1238, 14, 1488, {1, 3, 5, 7, 7, 41, 19, 101, 179, 487, 1071, 2761, 8043, 5103}},
+{1239, 14, 1493, {1, 1, 7, 9, 1, 21, 101, 103, 349, 85, 1841, 1033, 4473, 3563}},
+{1240, 14, 1500, {1, 1, 3, 13, 23, 61, 39, 27, 479, 13, 45, 1371, 7897, 10637}},
+{1241, 14, 1509, {1, 1, 5, 9, 17, 61, 71, 55, 355, 99, 1695, 3053, 839, 959}},
+{1242, 14, 1510, {1, 1, 3, 1, 7, 27, 87, 221, 327, 241, 461, 3177, 5933, 8299}},
+{1243, 14, 1514, {1, 3, 7, 9, 5, 41, 111, 245, 447, 263, 1363, 1767, 6331, 3355}},
+{1244, 14, 1519, {1, 3, 3, 13, 15, 11, 15, 169, 429, 149, 1965, 2477, 7733, 2499}},
+{1245, 14, 1528, {1, 1, 5, 15, 15, 47, 25, 33, 469, 701, 773, 2747, 1533, 14633}},
+{1246, 14, 1533, {1, 3, 1, 5, 19, 57, 37, 75, 423, 11, 685, 2487, 1779, 8797}},
+{1247, 14, 1540, {1, 3, 1, 5, 19, 41, 67, 99, 333, 991, 953, 3221, 939, 4197}},
+{1248, 14, 1550, {1, 3, 1, 15, 11, 39, 25, 1, 159, 679, 465, 1611, 5799, 2537}},
+{1249, 14, 1567, {1, 1, 5, 11, 5, 37, 37, 7, 101, 703, 235, 23, 2209, 12799}},
+{1250, 14, 1571, {1, 1, 7, 3, 11, 23, 71, 215, 45, 269, 1539, 3625, 5773, 6889}},
+{1251, 14, 1573, {1, 3, 5, 15, 27, 33, 105, 109, 205, 653, 821, 435, 1087, 2495}},
+{1252, 14, 1578, {1, 1, 3, 5, 11, 39, 53, 213, 41, 385, 1425, 25, 5553, 12523}},
+{1253, 14, 1598, {1, 3, 5, 15, 29, 49, 13, 253, 505, 407, 985, 2569, 6727, 4761}},
+{1254, 14, 1606, {1, 1, 1, 3, 29, 17, 69, 47, 25, 819, 1145, 2479, 1183, 3343}},
+{1255, 14, 1618, {1, 3, 1, 15, 25, 61, 43, 55, 279, 579, 361, 355, 6101, 3143}},
+{1256, 14, 1630, {1, 3, 5, 11, 3, 59, 125, 101, 451, 495, 1711, 3443, 3625, 15579}},
+{1257, 14, 1634, {1, 3, 1, 11, 25, 61, 49, 219, 23, 795, 481, 3609, 3691, 15419}},
+{1258, 14, 1640, {1, 3, 7, 5, 9, 59, 49, 233, 345, 143, 181, 3587, 3041, 1219}},
+{1259, 14, 1643, {1, 3, 7, 13, 9, 31, 39, 137, 261, 919, 1367, 3145, 4659, 5875}},
+{1260, 14, 1654, {1, 1, 3, 3, 27, 43, 95, 65, 301, 915, 31, 451, 7743, 7277}},
+{1261, 14, 1679, {1, 3, 1, 5, 23, 37, 53, 31, 203, 453, 71, 1585, 6011, 16369}},
+{1262, 14, 1688, {1, 1, 5, 1, 15, 47, 91, 227, 297, 45, 1415, 3647, 7811, 14015}},
+{1263, 14, 1698, {1, 1, 1, 1, 29, 27, 93, 121, 169, 69, 1361, 2907, 1867, 7017}},
+{1264, 14, 1703, {1, 3, 1, 7, 23, 53, 77, 41, 25, 873, 1333, 3889, 3239, 1771}},
+{1265, 14, 1704, {1, 1, 1, 7, 31, 27, 87, 81, 167, 343, 1981, 2499, 7749, 15747}},
+{1266, 14, 1722, {1, 3, 5, 13, 1, 17, 97, 37, 81, 645, 1167, 3547, 7769, 10731}},
+{1267, 14, 1735, {1, 1, 7, 5, 9, 17, 31, 55, 151, 463, 1041, 2303, 4015, 3737}},
+{1268, 14, 1750, {1, 1, 3, 11, 31, 9, 81, 213, 95, 215, 2031, 2129, 4299, 3021}},
+{1269, 14, 1753, {1, 1, 1, 3, 25, 25, 115, 229, 101, 441, 783, 1729, 7905, 2375}},
+{1270, 14, 1760, {1, 1, 5, 9, 3, 19, 73, 35, 379, 493, 1333, 1647, 13, 197}},
+{1271, 14, 1789, {1, 1, 7, 9, 3, 55, 99, 43, 281, 9, 73, 2477, 8183, 11055}},
+{1272, 14, 1792, {1, 3, 7, 13, 25, 19, 27, 195, 469, 175, 355, 1861, 7255, 15377}},
+{1273, 14, 1802, {1, 1, 3, 11, 15, 19, 115, 31, 413, 835, 697, 879, 6515, 13465}},
+{1274, 14, 1819, {1, 3, 3, 15, 3, 61, 105, 201, 151, 739, 49, 3963, 2573, 3303}},
+{1275, 14, 1825, {1, 3, 5, 7, 23, 5, 11, 215, 19, 591, 509, 2887, 1631, 4391}},
+{1276, 14, 1828, {1, 3, 3, 3, 25, 1, 109, 5, 363, 545, 1745, 503, 827, 4677}},
+{1277, 14, 1832, {1, 1, 3, 15, 1, 45, 121, 141, 497, 745, 1825, 2041, 2561, 8153}},
+{1278, 14, 1845, {1, 3, 1, 11, 29, 7, 71, 241, 7, 39, 1379, 2479, 7483, 7195}},
+{1279, 14, 1846, {1, 1, 7, 11, 3, 27, 39, 97, 339, 217, 1409, 1569, 4761, 1567}},
+{1280, 14, 1857, {1, 1, 5, 15, 11, 53, 87, 213, 297, 923, 393, 717, 3297, 16123}},
+{1281, 14, 1869, {1, 1, 1, 11, 27, 41, 121, 49, 225, 379, 1305, 319, 2461, 5445}},
+{1282, 14, 1897, {1, 1, 5, 5, 25, 3, 121, 23, 47, 843, 1679, 1427, 6393, 4199}},
+{1283, 14, 1906, {1, 1, 5, 13, 17, 3, 17, 25, 161, 487, 121, 361, 1375, 10745}},
+{1284, 14, 1908, {1, 1, 7, 3, 3, 37, 7, 245, 107, 107, 745, 2415, 2131, 11419}},
+{1285, 14, 1911, {1, 1, 5, 3, 3, 23, 67, 91, 281, 387, 465, 905, 883, 9775}},
+{1286, 14, 1934, {1, 3, 7, 15, 25, 55, 123, 49, 23, 983, 1903, 2589, 2073, 7823}},
+{1287, 14, 1962, {1, 1, 5, 11, 25, 17, 63, 229, 267, 175, 1759, 1947, 479, 11089}},
+{1288, 14, 1967, {1, 3, 7, 3, 11, 37, 83, 95, 415, 1003, 1175, 2361, 2117, 9809}},
+{1289, 14, 1972, {1, 3, 1, 9, 5, 39, 51, 129, 249, 161, 1981, 2755, 8057, 13641}},
+{1290, 14, 1975, {1, 1, 7, 1, 15, 47, 9, 197, 199, 549, 1091, 2853, 2331, 4535}},
+{1291, 14, 1999, {1, 3, 3, 13, 15, 21, 23, 111, 463, 719, 1667, 377, 5039, 10723}},
+{1292, 14, 2004, {1, 1, 3, 7, 23, 47, 39, 47, 307, 949, 1651, 2525, 5835, 1425}},
+{1293, 14, 2011, {1, 3, 3, 9, 23, 47, 111, 39, 251, 1001, 179, 3985, 535, 15435}},
+{1294, 14, 2013, {1, 1, 3, 13, 5, 45, 51, 123, 205, 651, 1583, 1691, 1631, 11975}},
+{1295, 14, 2037, {1, 1, 7, 9, 1, 29, 59, 27, 389, 497, 1459, 1633, 521, 14037}},
+{1296, 14, 2051, {1, 1, 3, 3, 3, 23, 35, 247, 371, 729, 931, 681, 1777, 8353}},
+{1297, 14, 2063, {1, 3, 3, 1, 19, 15, 17, 191, 495, 643, 319, 37, 5691, 7049}},
+{1298, 14, 2066, {1, 3, 5, 11, 5, 31, 123, 243, 335, 573, 113, 209, 4825, 7783}},
+{1299, 14, 2094, {1, 3, 7, 7, 29, 19, 25, 191, 89, 515, 55, 3013, 4523, 12913}},
+{1300, 14, 2128, {1, 1, 3, 3, 15, 3, 35, 37, 339, 7, 697, 359, 4553, 1431}},
+{1301, 14, 2154, {1, 3, 1, 1, 9, 15, 33, 77, 161, 13, 255, 1187, 6587, 11715}},
+{1302, 14, 2164, {1, 3, 7, 7, 25, 57, 61, 171, 231, 43, 1219, 903, 5623, 4781}},
+{1303, 14, 2198, {1, 1, 5, 15, 29, 47, 117, 23, 213, 907, 1423, 369, 4529, 9651}},
+{1304, 14, 2217, {1, 1, 5, 7, 15, 55, 105, 249, 401, 37, 1885, 3779, 3441, 9057}},
+{1305, 14, 2220, {1, 1, 5, 3, 3, 27, 49, 89, 335, 561, 1235, 3251, 2731, 12711}},
+{1306, 14, 2223, {1, 1, 1, 15, 29, 49, 37, 173, 25, 743, 1321, 821, 5899, 9213}},
+{1307, 14, 2238, {1, 1, 7, 3, 1, 41, 61, 209, 275, 925, 521, 3029, 1569, 9277}},
+{1308, 14, 2245, {1, 3, 5, 13, 17, 1, 11, 171, 441, 119, 1589, 299, 157, 11439}},
+{1309, 14, 2252, {1, 1, 5, 9, 13, 33, 27, 77, 363, 939, 1103, 2135, 1759, 5429}},
+{1310, 14, 2258, {1, 3, 7, 1, 17, 39, 49, 201, 49, 803, 2003, 1193, 7415, 13847}},
+{1311, 14, 2264, {1, 1, 5, 5, 17, 49, 39, 19, 311, 801, 1441, 3263, 7973, 14181}},
+{1312, 14, 2280, {1, 1, 3, 9, 9, 27, 59, 89, 81, 473, 1369, 3121, 7929, 10905}},
+{1313, 14, 2285, {1, 3, 3, 5, 17, 35, 35, 239, 379, 431, 501, 3561, 2059, 9679}},
+{1314, 14, 2293, {1, 3, 5, 15, 25, 29, 113, 179, 269, 891, 301, 2017, 7513, 9379}},
+{1315, 14, 2294, {1, 3, 1, 11, 17, 35, 49, 149, 135, 661, 1691, 3169, 3765, 9003}},
+{1316, 14, 2298, {1, 3, 7, 15, 5, 21, 53, 241, 475, 271, 683, 2351, 2181, 6333}},
+{1317, 14, 2303, {1, 1, 7, 13, 25, 33, 71, 153, 221, 507, 2017, 2401, 7545, 8489}},
+{1318, 14, 2306, {1, 1, 7, 5, 1, 49, 87, 1, 179, 331, 1597, 3713, 809, 11109}},
+{1319, 14, 2311, {1, 3, 1, 5, 5, 61, 93, 39, 479, 977, 1099, 1291, 7049, 2797}},
+{1320, 14, 2326, {1, 3, 1, 13, 19, 41, 57, 77, 5, 117, 125, 115, 3969, 1345}},
+{1321, 14, 2354, {1, 1, 1, 9, 15, 9, 57, 7, 219, 41, 767, 23, 5771, 14175}},
+{1322, 14, 2373, {1, 3, 7, 9, 17, 61, 1, 59, 227, 349, 63, 189, 3871, 7919}},
+{1323, 14, 2380, {1, 3, 5, 5, 9, 29, 33, 203, 413, 701, 1129, 2103, 1889, 8377}},
+{1324, 14, 2385, {1, 1, 3, 1, 9, 17, 69, 115, 123, 1001, 1, 2893, 3957, 8593}},
+{1325, 14, 2392, {1, 1, 3, 1, 31, 41, 83, 91, 113, 195, 1121, 2665, 6815, 1189}},
+{1326, 14, 2401, {1, 1, 1, 13, 3, 59, 13, 123, 95, 103, 1689, 2809, 5049, 4055}},
+{1327, 14, 2402, {1, 1, 1, 15, 21, 41, 11, 167, 375, 589, 207, 1631, 1597, 8091}},
+{1328, 14, 2408, {1, 3, 5, 5, 1, 33, 57, 89, 157, 921, 1353, 2777, 461, 14567}},
+{1329, 14, 2419, {1, 1, 5, 1, 25, 5, 51, 247, 1, 577, 463, 3741, 303, 16059}},
+{1330, 14, 2450, {1, 1, 7, 5, 13, 7, 17, 87, 51, 987, 835, 93, 5203, 3973}},
+{1331, 14, 2452, {1, 1, 7, 7, 3, 27, 7, 1, 135, 171, 231, 3349, 4459, 2925}},
+{1332, 14, 2477, {1, 1, 5, 5, 9, 51, 71, 153, 115, 315, 265, 2207, 4127, 12631}},
+{1333, 14, 2509, {1, 1, 3, 15, 23, 59, 35, 121, 425, 921, 1255, 2123, 5811, 15937}},
+{1334, 14, 2510, {1, 3, 7, 7, 11, 21, 45, 57, 269, 395, 555, 783, 6677, 2889}},
+{1335, 14, 2515, {1, 3, 5, 7, 31, 19, 73, 35, 465, 349, 1429, 863, 4707, 6121}},
+{1336, 14, 2524, {1, 3, 3, 9, 25, 27, 119, 159, 195, 949, 19, 73, 4511, 15711}},
+{1337, 14, 2527, {1, 3, 3, 7, 9, 59, 47, 57, 91, 749, 1579, 1297, 2445, 5167}},
+{1338, 14, 2531, {1, 3, 3, 3, 31, 57, 19, 203, 61, 927, 1477, 2863, 1305, 11673}},
+{1339, 14, 2552, {1, 3, 7, 11, 29, 13, 3, 111, 351, 79, 1863, 2213, 3273, 7049}},
+{1340, 14, 2561, {1, 3, 3, 9, 7, 23, 47, 237, 121, 877, 441, 119, 2723, 3989}},
+{1341, 14, 2567, {1, 3, 3, 11, 17, 23, 63, 177, 231, 363, 1451, 33, 2169, 7251}},
+{1342, 14, 2571, {1, 1, 5, 11, 31, 41, 93, 229, 39, 1009, 1061, 433, 2393, 15401}},
+{1343, 14, 2586, {1, 1, 5, 15, 31, 37, 25, 135, 135, 897, 33, 3713, 7663, 8079}},
+{1344, 14, 2588, {1, 1, 5, 7, 17, 49, 43, 89, 411, 731, 1431, 3893, 1635, 7063}},
+{1345, 14, 2595, {1, 1, 1, 13, 29, 27, 5, 77, 283, 913, 789, 817, 3309, 475}},
+{1346, 14, 2607, {1, 1, 3, 1, 19, 21, 67, 77, 423, 551, 5, 1057, 5469, 7859}},
+{1347, 14, 2621, {1, 1, 5, 1, 1, 21, 99, 237, 215, 759, 1505, 1983, 1517, 8923}},
+{1348, 14, 2630, {1, 3, 5, 7, 19, 61, 73, 215, 165, 127, 205, 259, 7755, 15395}},
+{1349, 14, 2639, {1, 1, 5, 9, 15, 23, 17, 111, 471, 751, 1923, 775, 6901, 13095}},
+{1350, 14, 2653, {1, 1, 7, 1, 25, 5, 63, 141, 461, 687, 1589, 1559, 7719, 11349}},
+{1351, 14, 2670, {1, 1, 1, 3, 11, 63, 11, 27, 253, 439, 297, 1315, 829, 3765}},
+{1352, 14, 2672, {1, 3, 1, 1, 9, 47, 127, 179, 173, 809, 241, 35, 7355, 5049}},
+{1353, 14, 2700, {1, 3, 1, 11, 19, 63, 93, 1, 205, 977, 303, 3409, 6529, 10927}},
+{1354, 14, 2711, {1, 3, 7, 9, 31, 63, 41, 79, 477, 91, 1801, 3487, 6885, 13341}},
+{1355, 14, 2715, {1, 1, 3, 7, 15, 59, 9, 101, 459, 247, 549, 2855, 5765, 7785}},
+{1356, 14, 2748, {1, 1, 7, 3, 13, 59, 71, 123, 93, 517, 1453, 2389, 4429, 5053}},
+{1357, 14, 2751, {1, 1, 5, 3, 19, 21, 77, 53, 81, 879, 1653, 1637, 3667, 2623}},
+{1358, 14, 2753, {1, 1, 1, 15, 17, 57, 65, 53, 407, 765, 417, 497, 5009, 2175}},
+{1359, 14, 2754, {1, 3, 3, 7, 31, 13, 5, 203, 263, 17, 119, 1607, 6773, 11195}},
+{1360, 14, 2760, {1, 3, 3, 13, 19, 13, 13, 147, 93, 735, 689, 781, 655, 6853}},
+{1361, 14, 2774, {1, 1, 1, 1, 1, 25, 63, 159, 493, 987, 71, 1249, 5859, 11717}},
+{1362, 14, 2784, {1, 1, 1, 15, 13, 23, 61, 61, 5, 947, 1853, 3331, 467, 8081}},
+{1363, 14, 2793, {1, 1, 3, 9, 19, 61, 65, 189, 95, 309, 283, 1725, 5683, 15463}},
+{1364, 14, 2804, {1, 1, 7, 5, 9, 33, 35, 75, 475, 831, 1445, 1485, 5047, 9631}},
+{1365, 14, 2811, {1, 1, 3, 15, 11, 23, 59, 87, 433, 221, 685, 3113, 4095, 13819}},
+{1366, 14, 2822, {1, 1, 7, 15, 25, 29, 67, 17, 349, 353, 1321, 563, 57, 533}},
+{1367, 14, 2826, {1, 3, 3, 3, 5, 43, 109, 217, 15, 185, 1895, 1015, 1831, 10623}},
+{1368, 14, 2836, {1, 1, 7, 1, 1, 47, 81, 185, 59, 691, 191, 3709, 1535, 13347}},
+{1369, 14, 2839, {1, 1, 5, 1, 23, 57, 83, 217, 457, 771, 1877, 2789, 8143, 4797}},
+{1370, 14, 2840, {1, 1, 3, 7, 23, 35, 79, 49, 227, 205, 1523, 3873, 4843, 10505}},
+{1371, 14, 2893, {1, 1, 1, 1, 17, 43, 121, 95, 205, 35, 189, 2061, 1693, 13273}},
+{1372, 14, 2901, {1, 1, 1, 15, 31, 49, 83, 249, 433, 497, 1949, 1845, 5215, 5971}},
+{1373, 14, 2902, {1, 3, 1, 1, 21, 53, 73, 211, 265, 929, 923, 279, 3621, 9469}},
+{1374, 14, 2905, {1, 3, 7, 7, 1, 57, 13, 45, 467, 705, 371, 1345, 1647, 3411}},
+{1375, 14, 2912, {1, 3, 1, 11, 27, 29, 117, 163, 143, 669, 489, 3913, 7891, 9031}},
+{1376, 14, 2915, {1, 3, 7, 15, 27, 15, 77, 217, 107, 839, 1517, 1543, 357, 10365}},
+{1377, 14, 2918, {1, 1, 1, 5, 31, 17, 107, 245, 345, 939, 1453, 3645, 6865, 16173}},
+{1378, 14, 2939, {1, 3, 5, 5, 9, 61, 43, 97, 453, 917, 945, 2143, 5473, 5611}},
+{1379, 14, 2965, {1, 1, 5, 11, 3, 33, 71, 97, 137, 549, 1605, 3839, 4883, 2677}},
+{1380, 14, 2966, {1, 3, 1, 11, 29, 23, 85, 47, 225, 633, 1613, 1297, 1415, 15813}},
+{1381, 14, 2975, {1, 1, 3, 3, 9, 19, 57, 107, 79, 449, 1951, 753, 6317, 10377}},
+{1382, 14, 2988, {1, 1, 1, 5, 21, 3, 39, 187, 299, 517, 1313, 741, 7259, 4197}},
+{1383, 14, 2993, {1, 1, 5, 13, 1, 39, 39, 41, 381, 123, 1257, 3185, 493, 3723}},
+{1384, 14, 3006, {1, 3, 7, 7, 3, 37, 15, 161, 129, 169, 555, 3605, 4287, 15831}},
+{1385, 14, 3017, {1, 3, 7, 15, 15, 23, 81, 163, 257, 791, 505, 1903, 2703, 11919}},
+{1386, 14, 3031, {1, 3, 7, 7, 27, 63, 17, 147, 111, 851, 1533, 1365, 5359, 3315}},
+{1387, 14, 3038, {1, 3, 7, 1, 15, 5, 61, 143, 385, 261, 1019, 1705, 1737, 14485}},
+{1388, 14, 3041, {1, 3, 5, 5, 25, 17, 49, 229, 431, 567, 1613, 3431, 2139, 2981}},
+{1389, 14, 3042, {1, 3, 5, 11, 17, 57, 71, 241, 31, 1007, 1695, 2965, 149, 14125}},
+{1390, 14, 3051, {1, 1, 3, 11, 7, 49, 39, 101, 5, 501, 1491, 3061, 225, 12255}},
+{1391, 14, 3073, {1, 3, 5, 7, 17, 35, 37, 97, 415, 15, 1349, 997, 2949, 4511}},
+{1392, 14, 3088, {1, 3, 1, 5, 25, 35, 99, 183, 161, 59, 1363, 515, 3767, 3641}},
+{1393, 14, 3097, {1, 1, 7, 15, 7, 15, 127, 137, 281, 67, 139, 2315, 3517, 13371}},
+{1394, 14, 3098, {1, 1, 5, 15, 23, 49, 19, 79, 425, 805, 1035, 429, 7707, 14195}},
+{1395, 14, 3103, {1, 3, 5, 3, 21, 25, 123, 11, 425, 475, 961, 2995, 7405, 5449}},
+{1396, 14, 3104, {1, 1, 7, 1, 21, 1, 75, 231, 451, 595, 719, 2369, 5907, 1227}},
+{1397, 14, 3146, {1, 1, 1, 9, 21, 57, 45, 255, 19, 79, 481, 3363, 3451, 8399}},
+{1398, 14, 3148, {1, 1, 7, 13, 31, 49, 95, 69, 483, 427, 37, 4047, 7057, 9111}},
+{1399, 14, 3153, {1, 3, 3, 11, 3, 61, 87, 79, 499, 91, 771, 1987, 2017, 3381}},
+{1400, 14, 3159, {1, 3, 1, 7, 5, 57, 1, 121, 155, 225, 501, 477, 6555, 9863}},
+{1401, 14, 3182, {1, 3, 7, 11, 27, 49, 83, 213, 61, 283, 1599, 3205, 2525, 8553}},
+{1402, 14, 3187, {1, 1, 1, 9, 9, 49, 3, 51, 141, 33, 301, 2167, 587, 15067}},
+{1403, 14, 3189, {1, 1, 1, 11, 7, 55, 99, 81, 191, 553, 953, 3753, 6731, 1093}},
+{1404, 14, 3199, {1, 1, 3, 3, 11, 59, 57, 235, 297, 197, 853, 1411, 3799, 7527}},
+{1405, 14, 3239, {1, 3, 5, 3, 7, 7, 5, 201, 393, 95, 91, 3273, 6285, 10661}},
+{1406, 14, 3263, {1, 1, 5, 7, 17, 57, 87, 3, 413, 915, 659, 369, 3593, 14429}},
+{1407, 14, 3271, {1, 3, 7, 1, 31, 31, 45, 115, 417, 427, 745, 4087, 953, 1119}},
+{1408, 14, 3275, {1, 3, 7, 3, 29, 43, 45, 221, 41, 641, 451, 173, 2999, 12103}},
+{1409, 14, 3278, {1, 1, 3, 11, 25, 57, 117, 201, 135, 787, 1525, 3879, 3247, 8907}},
+{1410, 14, 3280, {1, 1, 7, 11, 3, 35, 69, 157, 331, 615, 573, 2169, 3575, 289}},
+{1411, 14, 3283, {1, 3, 3, 13, 15, 51, 67, 127, 265, 495, 103, 3145, 2685, 15919}},
+{1412, 14, 3290, {1, 3, 5, 11, 31, 27, 65, 57, 153, 465, 1163, 467, 4103, 4713}},
+{1413, 14, 3311, {1, 3, 7, 3, 23, 31, 9, 51, 239, 417, 1597, 229, 2865, 15199}},
+{1414, 14, 3316, {1, 3, 5, 3, 11, 45, 123, 217, 31, 765, 1009, 2001, 3645, 9407}},
+{1415, 14, 3343, {1, 3, 3, 9, 5, 23, 117, 83, 237, 1017, 251, 1187, 2631, 5151}},
+{1416, 14, 3346, {1, 1, 1, 7, 23, 55, 97, 141, 501, 305, 467, 4061, 2369, 15973}},
+{1417, 14, 3357, {1, 1, 7, 5, 31, 51, 125, 191, 219, 495, 37, 3337, 813, 241}},
+{1418, 14, 3358, {1, 3, 1, 1, 11, 39, 93, 109, 285, 147, 1297, 737, 4051, 7223}},
+{1419, 14, 3361, {1, 3, 1, 15, 13, 17, 57, 171, 463, 163, 609, 1681, 7583, 9231}},
+{1420, 14, 3362, {1, 3, 1, 1, 23, 5, 51, 5, 205, 415, 419, 989, 4239, 10943}},
+{1421, 14, 3364, {1, 1, 3, 15, 3, 13, 65, 145, 387, 59, 395, 1067, 4143, 5649}},
+{1422, 14, 3386, {1, 3, 1, 13, 9, 59, 121, 127, 95, 71, 1541, 1423, 1753, 8041}},
+{1423, 14, 3418, {1, 1, 3, 15, 7, 5, 69, 167, 181, 991, 1189, 4017, 5935, 6669}},
+{1424, 14, 3424, {1, 3, 5, 7, 23, 41, 53, 21, 47, 261, 1231, 2011, 133, 2247}},
+{1425, 14, 3433, {1, 1, 1, 5, 17, 47, 77, 19, 331, 609, 1893, 3965, 3123, 9093}},
+{1426, 14, 3434, {1, 3, 1, 3, 9, 39, 103, 231, 249, 75, 373, 107, 1823, 10801}},
+{1427, 14, 3436, {1, 3, 3, 7, 1, 51, 35, 111, 137, 879, 1221, 225, 4285, 2287}},
+{1428, 14, 3463, {1, 1, 7, 9, 23, 17, 75, 245, 409, 163, 395, 3731, 7111, 6845}},
+{1429, 14, 3467, {1, 1, 3, 13, 29, 47, 75, 153, 497, 621, 1691, 3187, 2125, 10533}},
+{1430, 14, 3477, {1, 1, 7, 7, 9, 7, 55, 159, 255, 417, 1335, 643, 3843, 3733}},
+{1431, 14, 3484, {1, 3, 3, 1, 21, 41, 7, 21, 5, 679, 1655, 95, 5699, 5785}},
+{1432, 14, 3505, {1, 1, 1, 13, 19, 7, 85, 7, 195, 357, 1097, 2893, 2913, 9635}},
+{1433, 14, 3508, {1, 1, 5, 9, 25, 33, 41, 155, 39, 655, 1993, 3117, 3639, 7977}},
+{1434, 14, 3515, {1, 1, 1, 13, 3, 63, 121, 247, 151, 673, 609, 285, 2299, 7663}},
+{1435, 14, 3532, {1, 3, 7, 11, 17, 13, 49, 253, 245, 21, 273, 993, 911, 863}},
+{1436, 14, 3553, {1, 1, 5, 5, 23, 1, 121, 95, 225, 9, 1237, 1183, 6461, 559}},
+{1437, 14, 3554, {1, 3, 7, 13, 3, 7, 121, 151, 233, 561, 281, 3583, 897, 1767}},
+{1438, 14, 3568, {1, 1, 7, 7, 9, 47, 107, 41, 25, 569, 1697, 2299, 6231, 12209}},
+{1439, 14, 3573, {1, 3, 7, 7, 27, 43, 59, 37, 31, 51, 503, 149, 4043, 11847}},
+{1440, 14, 3587, {1, 3, 3, 11, 5, 1, 119, 181, 47, 641, 685, 4017, 637, 16251}},
+{1441, 14, 3589, {1, 3, 3, 7, 11, 1, 101, 7, 239, 747, 307, 1721, 5979, 4367}},
+{1442, 14, 3596, {1, 3, 5, 7, 1, 63, 19, 151, 469, 333, 1587, 2453, 897, 4711}},
+{1443, 14, 3608, {1, 3, 1, 5, 11, 61, 21, 253, 91, 993, 1347, 1993, 5607, 13031}},
+{1444, 14, 3620, {1, 3, 5, 5, 1, 39, 65, 71, 189, 389, 1437, 1055, 6439, 3989}},
+{1445, 14, 3630, {1, 1, 3, 3, 19, 15, 93, 3, 339, 165, 1675, 3953, 2145, 12113}},
+{1446, 14, 3644, {1, 1, 3, 13, 13, 45, 5, 175, 211, 993, 705, 2761, 3023, 13633}},
+{1447, 14, 3649, {1, 1, 3, 1, 19, 39, 121, 29, 287, 87, 281, 3491, 7107, 13007}},
+{1448, 14, 3664, {1, 1, 7, 1, 29, 49, 103, 187, 39, 923, 51, 1533, 3249, 4399}},
+{1449, 14, 3679, {1, 1, 5, 5, 5, 43, 25, 107, 453, 955, 115, 57, 4589, 14573}},
+{1450, 14, 3680, {1, 1, 3, 5, 21, 45, 103, 99, 183, 987, 1207, 1697, 8033, 13703}},
+{1451, 14, 3685, {1, 1, 5, 7, 11, 23, 9, 17, 261, 749, 1957, 935, 6283, 8625}},
+{1452, 14, 3686, {1, 1, 1, 9, 9, 51, 69, 225, 265, 323, 1161, 2993, 7305, 2249}},
+{1453, 14, 3698, {1, 3, 1, 9, 23, 19, 57, 205, 503, 489, 1499, 3277, 817, 11931}},
+{1454, 14, 3714, {1, 3, 3, 5, 1, 7, 49, 1, 313, 123, 643, 2027, 1469, 3585}},
+{1455, 14, 3726, {1, 3, 7, 11, 27, 47, 95, 111, 27, 213, 465, 3693, 3661, 7531}},
+{1456, 14, 3737, {1, 1, 7, 9, 3, 37, 115, 189, 31, 613, 1393, 1229, 4767, 12425}},
+{1457, 14, 3767, {1, 1, 3, 3, 25, 17, 99, 47, 161, 931, 959, 1293, 7095, 8325}},
+{1458, 14, 3782, {1, 1, 1, 7, 23, 9, 11, 51, 205, 419, 479, 1497, 2493, 13921}},
+{1459, 14, 3786, {1, 3, 1, 9, 17, 29, 51, 79, 159, 435, 477, 413, 3815, 5589}},
+{1460, 14, 3793, {1, 3, 7, 5, 7, 23, 99, 43, 169, 665, 403, 1163, 4337, 1335}},
+{1461, 14, 3796, {1, 3, 1, 5, 25, 27, 125, 249, 421, 267, 1259, 4089, 59, 9377}},
+{1462, 14, 3805, {1, 3, 3, 1, 27, 37, 91, 17, 123, 597, 1749, 3449, 6503, 11043}},
+{1463, 14, 3815, {1, 3, 7, 7, 23, 41, 19, 245, 109, 569, 547, 1917, 7943, 2697}},
+{1464, 14, 3841, {1, 3, 7, 7, 9, 1, 123, 105, 329, 435, 2013, 2745, 347, 11045}},
+{1465, 14, 3847, {1, 1, 1, 13, 29, 53, 51, 67, 105, 89, 1887, 3543, 963, 8159}},
+{1466, 14, 3853, {1, 1, 5, 3, 5, 27, 41, 67, 67, 883, 973, 1785, 901, 14969}},
+{1467, 14, 3862, {1, 3, 3, 13, 17, 11, 117, 115, 163, 939, 79, 641, 4365, 2267}},
+{1468, 14, 3875, {1, 1, 3, 3, 9, 5, 41, 123, 149, 9, 1533, 3939, 5995, 12701}},
+{1469, 14, 3902, {1, 1, 1, 15, 31, 1, 101, 229, 191, 965, 61, 2671, 4177, 15779}},
+{1470, 14, 3904, {1, 1, 5, 15, 1, 25, 49, 185, 33, 697, 1043, 2639, 7819, 3171}},
+{1471, 14, 3916, {1, 3, 5, 13, 19, 9, 111, 49, 47, 847, 1865, 717, 5287, 13417}},
+{1472, 14, 3947, {1, 3, 7, 11, 5, 61, 63, 111, 171, 735, 2003, 73, 5701, 647}},
+{1473, 14, 3949, {1, 3, 1, 11, 1, 49, 121, 79, 431, 671, 1241, 1161, 2057, 263}},
+{1474, 14, 3955, {1, 3, 3, 1, 1, 23, 75, 15, 117, 641, 313, 1525, 2041, 1409}},
+{1475, 14, 3962, {1, 3, 5, 11, 15, 57, 13, 67, 139, 131, 1339, 2419, 7945, 11877}},
+{1476, 14, 3971, {1, 3, 1, 1, 19, 39, 97, 83, 297, 595, 1611, 5, 4753, 3435}},
+{1477, 14, 3980, {1, 3, 1, 9, 7, 49, 125, 101, 383, 717, 63, 2295, 3873, 13461}},
+{1478, 14, 3985, {1, 1, 3, 3, 15, 29, 89, 77, 269, 689, 229, 1207, 7311, 8663}},
+{1479, 14, 3998, {1, 1, 1, 1, 1, 61, 25, 255, 203, 233, 271, 987, 2277, 8735}},
+{1480, 14, 4001, {1, 1, 5, 7, 21, 27, 63, 79, 337, 133, 1453, 3633, 6157, 15875}},
+{1481, 14, 4002, {1, 3, 1, 7, 7, 55, 31, 81, 203, 709, 1743, 1677, 4247, 11411}},
+{1482, 14, 4016, {1, 1, 3, 3, 29, 51, 37, 17, 487, 325, 1393, 1433, 3467, 2851}},
+{1483, 14, 4021, {1, 1, 7, 9, 3, 41, 99, 177, 241, 869, 739, 2729, 4585, 14801}},
+{1484, 14, 4026, {1, 1, 3, 1, 9, 43, 97, 65, 99, 295, 1693, 2083, 3241, 4073}},
+{1485, 14, 4043, {1, 1, 1, 9, 5, 39, 67, 119, 235, 543, 795, 2773, 3195, 6273}},
+{1486, 14, 4079, {1, 1, 5, 5, 21, 41, 89, 1, 85, 81, 57, 2951, 1531, 10101}},
+{1487, 14, 4102, {1, 1, 1, 7, 3, 35, 127, 69, 39, 265, 1643, 2973, 267, 12365}},
+{1488, 14, 4106, {1, 3, 1, 1, 21, 57, 99, 205, 119, 477, 1771, 1989, 2761, 12573}},
+{1489, 14, 4119, {1, 1, 3, 13, 1, 59, 93, 125, 279, 935, 1877, 2061, 4845, 7835}},
+{1490, 14, 4126, {1, 1, 7, 9, 7, 45, 69, 99, 273, 35, 1579, 2137, 7175, 6999}},
+{1491, 14, 4147, {1, 1, 7, 7, 29, 21, 127, 91, 9, 383, 787, 1783, 601, 5047}},
+{1492, 14, 4149, {1, 1, 7, 13, 7, 29, 35, 219, 43, 581, 2043, 2211, 6169, 12173}},
+{1493, 14, 4164, {1, 3, 5, 13, 29, 29, 39, 63, 411, 645, 415, 2383, 1989, 11411}},
+{1494, 14, 4174, {1, 1, 7, 9, 15, 9, 87, 95, 321, 709, 543, 3831, 2453, 4167}},
+{1495, 14, 4181, {1, 3, 1, 5, 31, 25, 5, 85, 239, 487, 1613, 3937, 4661, 3535}},
+{1496, 14, 4185, {1, 3, 5, 11, 27, 41, 3, 201, 39, 91, 1997, 237, 5639, 14703}},
+{1497, 14, 4188, {1, 1, 7, 3, 27, 49, 87, 71, 473, 247, 1007, 47, 475, 5413}},
+{1498, 14, 4202, {1, 3, 7, 15, 9, 57, 81, 149, 287, 333, 1911, 3417, 1081, 8995}},
+{1499, 14, 4228, {1, 1, 5, 1, 3, 63, 43, 151, 97, 431, 961, 1019, 5153, 2407}},
+{1500, 14, 4232, {1, 1, 5, 5, 27, 21, 127, 161, 507, 311, 129, 3489, 1133, 3241}},
+{1501, 14, 4246, {1, 3, 7, 15, 21, 33, 117, 83, 497, 667, 1399, 931, 1695, 8171}},
+{1502, 14, 4252, {1, 1, 1, 13, 3, 39, 53, 27, 193, 993, 671, 1871, 7579, 11457}},
+{1503, 14, 4256, {1, 1, 5, 11, 7, 39, 81, 107, 195, 387, 849, 395, 1317, 6487}},
+{1504, 14, 4286, {1, 3, 3, 3, 3, 15, 45, 127, 279, 111, 331, 357, 4637, 4697}},
+{1505, 14, 4303, {1, 1, 3, 9, 21, 49, 47, 97, 61, 101, 181, 1867, 1201, 14099}},
+{1506, 14, 4306, {1, 1, 5, 11, 25, 19, 51, 51, 101, 451, 545, 101, 7497, 9141}},
+{1507, 14, 4311, {1, 1, 1, 3, 13, 53, 119, 81, 377, 245, 765, 251, 3757, 16045}},
+{1508, 14, 4317, {1, 1, 1, 3, 5, 61, 65, 37, 331, 925, 1439, 3219, 2843, 11397}},
+{1509, 14, 4342, {1, 3, 5, 9, 23, 31, 95, 155, 83, 641, 1129, 135, 477, 1623}},
+{1510, 14, 4346, {1, 1, 3, 9, 9, 61, 93, 11, 331, 585, 799, 1417, 1533, 463}},
+{1511, 14, 4377, {1, 1, 7, 7, 21, 51, 61, 29, 467, 935, 11, 3357, 1087, 12337}},
+{1512, 14, 4401, {1, 3, 3, 11, 1, 39, 103, 153, 351, 893, 1823, 835, 2149, 4203}},
+{1513, 14, 4407, {1, 1, 1, 9, 31, 13, 61, 235, 369, 359, 835, 2067, 2697, 15289}},
+{1514, 14, 4414, {1, 1, 7, 1, 15, 1, 107, 27, 201, 451, 1521, 313, 3195, 3847}},
+{1515, 14, 4422, {1, 1, 5, 13, 1, 27, 63, 137, 355, 489, 2039, 1015, 2519, 13797}},
+{1516, 14, 4431, {1, 1, 7, 9, 29, 33, 23, 197, 49, 555, 1087, 3447, 7299, 15513}},
+{1517, 14, 4434, {1, 3, 5, 11, 7, 37, 55, 63, 443, 573, 1715, 631, 3405, 6155}},
+{1518, 14, 4436, {1, 3, 3, 3, 31, 35, 51, 167, 225, 617, 2007, 2555, 6819, 12709}},
+{1519, 14, 4443, {1, 1, 1, 13, 15, 5, 73, 85, 109, 43, 1067, 3941, 1125, 10269}},
+{1520, 14, 4459, {1, 1, 7, 11, 17, 3, 127, 145, 279, 19, 1007, 3287, 4751, 12507}},
+{1521, 14, 4461, {1, 3, 7, 3, 19, 1, 117, 111, 193, 435, 47, 1801, 529, 8547}},
+{1522, 14, 4462, {1, 3, 3, 13, 1, 19, 101, 19, 469, 187, 207, 1243, 8153, 3273}},
+{1523, 14, 4473, {1, 3, 1, 5, 11, 51, 69, 189, 453, 775, 241, 3331, 4067, 14759}},
+{1524, 14, 4497, {1, 1, 1, 1, 23, 55, 113, 133, 497, 731, 391, 2777, 3529, 955}},
+{1525, 14, 4504, {1, 3, 1, 11, 5, 49, 59, 35, 261, 949, 325, 3595, 7433, 11099}},
+{1526, 14, 4507, {1, 3, 5, 9, 13, 37, 103, 219, 329, 865, 1787, 2497, 7249, 9877}},
+{1527, 14, 4525, {1, 3, 7, 9, 11, 33, 19, 255, 191, 935, 1115, 1901, 1577, 9623}},
+{1528, 14, 4534, {1, 1, 5, 7, 29, 23, 77, 43, 283, 143, 1211, 73, 2835, 10235}},
+{1529, 14, 4538, {1, 1, 7, 3, 3, 27, 35, 173, 453, 425, 1225, 3023, 2159, 8433}},
+{1530, 14, 4548, {1, 1, 1, 5, 27, 21, 35, 25, 71, 145, 1545, 523, 4527, 7655}},
+{1531, 14, 4552, {1, 1, 5, 3, 13, 49, 61, 157, 113, 775, 763, 1785, 225, 11851}},
+{1532, 14, 4560, {1, 1, 3, 1, 31, 57, 97, 229, 291, 777, 213, 4067, 921, 8203}},
+{1533, 14, 4575, {1, 1, 5, 1, 25, 13, 125, 123, 263, 207, 119, 3111, 3841, 843}},
+{1534, 14, 4599, {1, 1, 7, 7, 25, 57, 81, 129, 31, 133, 1869, 2949, 5563, 14965}},
+{1535, 14, 4612, {1, 3, 3, 7, 3, 51, 33, 127, 281, 425, 1253, 405, 7941, 8799}},
+{1536, 14, 4619, {1, 1, 3, 9, 3, 63, 93, 173, 255, 609, 49, 111, 7785, 15865}},
+{1537, 14, 4640, {1, 1, 1, 3, 17, 59, 113, 55, 155, 789, 1335, 177, 3071, 1851}},
+{1538, 14, 4643, {1, 3, 7, 15, 15, 23, 35, 35, 131, 623, 47, 437, 1337, 9891}},
+{1539, 14, 4677, {1, 3, 7, 5, 29, 57, 39, 31, 111, 271, 59, 1473, 949, 3899}},
+{1540, 14, 4687, {1, 1, 3, 11, 17, 19, 41, 229, 259, 691, 1455, 3023, 7455, 9711}},
+{1541, 14, 4723, {1, 3, 5, 11, 29, 13, 9, 165, 499, 355, 1415, 1395, 7595, 15571}},
+{1542, 14, 4730, {1, 3, 1, 9, 5, 5, 25, 247, 185, 241, 1325, 3133, 7471, 2649}},
+{1543, 14, 4736, {1, 3, 3, 11, 17, 29, 57, 61, 51, 203, 993, 1837, 3785, 15163}},
+{1544, 14, 4741, {1, 1, 7, 7, 21, 57, 79, 165, 277, 133, 93, 1055, 7169, 15685}},
+{1545, 14, 4763, {1, 1, 5, 3, 5, 17, 25, 177, 95, 323, 367, 1359, 4915, 6409}},
+{1546, 14, 4765, {1, 1, 1, 1, 11, 25, 115, 45, 373, 221, 1483, 591, 6561, 4527}},
+{1547, 14, 4770, {1, 3, 5, 3, 5, 23, 69, 77, 313, 473, 1037, 4045, 3969, 5445}},
+{1548, 14, 4781, {1, 3, 1, 5, 1, 15, 73, 83, 439, 463, 203, 361, 6835, 1061}},
+{1549, 14, 4808, {1, 1, 3, 11, 21, 5, 89, 233, 405, 253, 773, 3901, 6085, 5677}},
+{1550, 14, 4822, {1, 1, 3, 9, 15, 53, 71, 29, 101, 599, 1073, 705, 4507, 12779}},
+{1551, 14, 4828, {1, 1, 3, 1, 3, 9, 27, 97, 207, 859, 417, 735, 2179, 5071}},
+{1552, 14, 4831, {1, 1, 1, 3, 13, 63, 65, 125, 195, 611, 649, 2221, 3143, 143}},
+{1553, 14, 4842, {1, 3, 3, 15, 17, 57, 99, 119, 243, 407, 1229, 813, 5245, 1893}},
+{1554, 14, 4855, {1, 1, 1, 5, 27, 27, 49, 13, 313, 287, 473, 2629, 3509, 11371}},
+{1555, 14, 4859, {1, 1, 7, 7, 23, 3, 75, 59, 245, 689, 1215, 2375, 3325, 1593}},
+{1556, 14, 4867, {1, 3, 1, 5, 21, 51, 43, 107, 91, 611, 1405, 677, 2087, 9565}},
+{1557, 14, 4870, {1, 3, 7, 11, 9, 27, 81, 101, 449, 201, 1507, 2217, 6767, 8059}},
+{1558, 14, 4881, {1, 1, 3, 9, 13, 41, 21, 195, 421, 315, 347, 2621, 2359, 9247}},
+{1559, 14, 4893, {1, 1, 5, 7, 31, 45, 77, 229, 455, 575, 1087, 1147, 2273, 13773}},
+{1560, 14, 4910, {1, 1, 1, 1, 9, 5, 87, 19, 207, 545, 1435, 495, 1299, 4947}},
+{1561, 14, 4917, {1, 1, 3, 3, 15, 9, 63, 67, 219, 735, 1911, 2361, 6503, 11977}},
+{1562, 14, 4929, {1, 3, 1, 9, 31, 27, 103, 153, 81, 939, 461, 2753, 697, 537}},
+{1563, 14, 4939, {1, 3, 3, 9, 21, 53, 49, 211, 415, 817, 321, 3775, 2921, 9473}},
+{1564, 14, 4947, {1, 1, 7, 3, 23, 55, 15, 51, 435, 1013, 73, 3967, 4575, 13099}},
+{1565, 14, 4949, {1, 1, 3, 7, 5, 27, 43, 225, 267, 21, 1261, 603, 6913, 4421}},
+{1566, 14, 4954, {1, 1, 7, 13, 25, 31, 101, 109, 237, 91, 1587, 1987, 2795, 6991}},
+{1567, 14, 4972, {1, 1, 3, 13, 23, 51, 91, 89, 287, 39, 1513, 463, 6135, 10469}},
+{1568, 14, 4975, {1, 3, 3, 1, 9, 43, 125, 157, 369, 495, 1849, 785, 6357, 6557}},
+{1569, 14, 5000, {1, 3, 1, 13, 5, 25, 107, 139, 367, 239, 1671, 1239, 7027, 5291}},
+{1570, 14, 5005, {1, 3, 5, 13, 11, 13, 35, 177, 45, 939, 251, 59, 333, 13105}},
+{1571, 14, 5029, {1, 3, 5, 7, 29, 57, 109, 227, 435, 739, 423, 1941, 3345, 12731}},
+{1572, 14, 5039, {1, 3, 3, 9, 23, 51, 19, 207, 69, 99, 955, 519, 7305, 2415}},
+{1573, 14, 5044, {1, 1, 5, 13, 17, 1, 67, 201, 61, 403, 1059, 2915, 2419, 12773}},
+{1574, 14, 5051, {1, 3, 1, 11, 17, 19, 25, 27, 207, 299, 143, 1955, 5669, 2301}},
+{1575, 14, 5056, {1, 1, 5, 3, 25, 57, 45, 255, 489, 1011, 1699, 2637, 5279, 12211}},
+{1576, 14, 5073, {1, 3, 3, 15, 7, 47, 113, 33, 511, 907, 1815, 1741, 2091, 13857}},
+{1577, 14, 5096, {1, 3, 3, 5, 5, 27, 95, 3, 353, 253, 947, 393, 1815, 14551}},
+{1578, 14, 5128, {1, 1, 5, 11, 29, 19, 63, 117, 293, 861, 2039, 9, 5999, 6909}},
+{1579, 14, 5134, {1, 3, 7, 3, 15, 63, 107, 173, 509, 817, 99, 2825, 131, 7917}},
+{1580, 14, 5161, {1, 3, 1, 1, 29, 49, 33, 153, 119, 777, 1315, 3581, 5675, 4043}},
+{1581, 14, 5179, {1, 3, 5, 15, 13, 11, 17, 147, 327, 305, 367, 3237, 5423, 13757}},
+{1582, 14, 5193, {1, 1, 5, 13, 1, 39, 35, 29, 25, 751, 1365, 2243, 8181, 7063}},
+{1583, 14, 5199, {1, 3, 7, 11, 25, 53, 11, 111, 289, 755, 1201, 691, 3679, 3725}},
+{1584, 14, 5202, {1, 1, 1, 11, 11, 37, 33, 211, 395, 691, 1817, 861, 6485, 12077}},
+{1585, 14, 5204, {1, 3, 3, 11, 21, 3, 111, 171, 305, 561, 1501, 2011, 7841, 10931}},
+{1586, 14, 5218, {1, 3, 7, 9, 9, 59, 109, 113, 31, 915, 103, 1861, 2779, 10619}},
+{1587, 14, 5247, {1, 1, 1, 1, 7, 25, 61, 97, 103, 723, 1145, 3105, 371, 339}},
+{1588, 14, 5260, {1, 1, 7, 13, 17, 9, 113, 51, 233, 209, 1117, 211, 6969, 2347}},
+{1589, 14, 5271, {1, 1, 5, 9, 25, 43, 21, 217, 327, 735, 197, 1063, 799, 801}},
+{1590, 14, 5301, {1, 1, 7, 13, 9, 13, 73, 33, 415, 923, 863, 1999, 5383, 8119}},
+{1591, 14, 5305, {1, 3, 1, 5, 7, 33, 51, 185, 289, 967, 1277, 1011, 767, 15505}},
+{1592, 14, 5319, {1, 3, 3, 13, 21, 11, 105, 235, 343, 1021, 2009, 2251, 3865, 6923}},
+{1593, 14, 5326, {1, 3, 5, 9, 29, 11, 33, 17, 149, 155, 1739, 3039, 7015, 2401}},
+{1594, 14, 5328, {1, 3, 7, 7, 17, 13, 89, 177, 297, 267, 545, 3861, 329, 13267}},
+{1595, 14, 5333, {1, 3, 5, 15, 27, 33, 1, 231, 181, 557, 447, 379, 7845, 1295}},
+{1596, 14, 5364, {1, 1, 5, 13, 3, 63, 59, 33, 263, 877, 1867, 1383, 641, 7139}},
+{1597, 14, 5376, {1, 3, 7, 5, 13, 51, 9, 113, 223, 605, 1189, 4063, 6925, 9563}},
+{1598, 14, 5399, {1, 1, 1, 13, 5, 35, 83, 107, 295, 231, 265, 5, 4087, 6407}},
+{1599, 14, 5416, {1, 1, 5, 1, 7, 25, 95, 137, 97, 987, 1753, 2781, 1369, 6903}},
+{1600, 14, 5421, {1, 1, 5, 13, 19, 61, 77, 229, 193, 165, 811, 249, 79, 10719}},
+{1601, 14, 5427, {1, 3, 7, 7, 27, 9, 119, 193, 459, 43, 1989, 2959, 3595, 6341}},
+{1602, 14, 5429, {1, 1, 5, 11, 5, 43, 35, 33, 25, 581, 897, 351, 4201, 3971}},
+{1603, 14, 5430, {1, 1, 7, 11, 21, 29, 53, 45, 359, 197, 313, 3825, 6717, 4077}},
+{1604, 14, 5434, {1, 1, 1, 15, 3, 45, 99, 133, 357, 315, 1159, 241, 2463, 11253}},
+{1605, 14, 5441, {1, 1, 7, 11, 9, 33, 111, 85, 443, 601, 447, 337, 6471, 7029}},
+{1606, 14, 5451, {1, 3, 7, 9, 13, 33, 25, 31, 9, 729, 1763, 4077, 7575, 7877}},
+{1607, 14, 5465, {1, 3, 5, 13, 13, 37, 29, 103, 53, 229, 591, 1073, 1323, 14405}},
+{1608, 14, 5466, {1, 1, 5, 1, 17, 33, 15, 183, 473, 297, 2003, 93, 4955, 1787}},
+{1609, 14, 5471, {1, 1, 5, 13, 5, 29, 113, 161, 267, 451, 1193, 149, 273, 11809}},
+{1610, 14, 5477, {1, 1, 1, 9, 17, 39, 47, 233, 165, 373, 955, 2891, 7523, 7235}},
+{1611, 14, 5492, {1, 1, 1, 3, 7, 21, 115, 205, 153, 449, 339, 2073, 1077, 5749}},
+{1612, 14, 5495, {1, 1, 7, 13, 9, 39, 117, 187, 37, 753, 227, 3519, 7391, 5751}},
+{1613, 14, 5505, {1, 1, 1, 9, 5, 19, 41, 161, 141, 195, 1719, 3321, 5, 12877}},
+{1614, 14, 5515, {1, 3, 7, 11, 21, 13, 83, 55, 299, 75, 1905, 3765, 4685, 12297}},
+{1615, 14, 5525, {1, 1, 7, 3, 3, 23, 111, 243, 187, 297, 1061, 2515, 977, 9555}},
+{1616, 14, 5529, {1, 3, 7, 3, 29, 11, 103, 177, 225, 875, 1649, 1401, 6383, 8309}},
+{1617, 14, 5532, {1, 3, 5, 3, 3, 41, 71, 3, 373, 757, 701, 2825, 1521, 13217}},
+{1618, 14, 5539, {1, 1, 5, 3, 11, 5, 103, 227, 209, 723, 1543, 3895, 6345, 7901}},
+{1619, 14, 5541, {1, 1, 5, 1, 9, 51, 77, 67, 359, 937, 557, 993, 3871, 3577}},
+{1620, 14, 5556, {1, 3, 7, 1, 1, 15, 121, 239, 29, 113, 1123, 3877, 6941, 14129}},
+{1621, 14, 5566, {1, 1, 5, 1, 27, 61, 83, 113, 185, 601, 947, 3933, 381, 13869}},
+{1622, 14, 5568, {1, 1, 5, 3, 5, 37, 97, 31, 81, 367, 747, 1811, 5313, 14151}},
+{1623, 14, 5574, {1, 3, 5, 9, 27, 61, 87, 31, 185, 521, 837, 959, 5001, 3957}},
+{1624, 14, 5595, {1, 3, 5, 3, 11, 61, 37, 19, 107, 749, 1345, 3829, 6701, 4315}},
+{1625, 14, 5602, {1, 3, 1, 15, 13, 45, 101, 113, 243, 963, 1861, 3283, 1419, 12131}},
+{1626, 14, 5611, {1, 1, 7, 1, 11, 63, 17, 117, 271, 819, 677, 669, 1991, 12511}},
+{1627, 14, 5616, {1, 1, 1, 13, 13, 33, 41, 73, 187, 537, 993, 3147, 1013, 16063}},
+{1628, 14, 5622, {1, 3, 1, 1, 25, 21, 107, 81, 117, 917, 113, 349, 4475, 9149}},
+{1629, 14, 5628, {1, 1, 1, 11, 21, 21, 29, 251, 125, 681, 141, 2893, 5843, 14359}},
+{1630, 14, 5655, {1, 3, 3, 1, 5, 41, 85, 163, 387, 29, 1593, 221, 2769, 10809}},
+{1631, 14, 5662, {1, 3, 5, 11, 1, 17, 69, 127, 273, 449, 1855, 2971, 7031, 10583}},
+{1632, 14, 5675, {1, 1, 5, 7, 1, 61, 9, 211, 123, 563, 111, 1883, 5801, 2191}},
+{1633, 14, 5689, {1, 1, 3, 11, 11, 51, 1, 81, 405, 803, 2017, 161, 5429, 731}},
+{1634, 14, 5722, {1, 1, 7, 9, 15, 55, 65, 51, 459, 485, 1539, 3135, 2929, 7867}},
+{1635, 14, 5724, {1, 1, 7, 11, 3, 45, 15, 7, 331, 417, 1813, 4009, 1341, 10965}},
+{1636, 14, 5728, {1, 1, 1, 5, 9, 29, 89, 121, 277, 509, 1989, 1293, 4787, 16097}},
+{1637, 14, 5731, {1, 1, 3, 9, 17, 45, 97, 197, 339, 943, 1377, 2947, 5833, 7}},
+{1638, 14, 5746, {1, 1, 7, 9, 15, 61, 75, 233, 401, 705, 825, 2521, 3787, 14387}},
+{1639, 14, 5764, {1, 1, 7, 15, 25, 57, 3, 43, 361, 459, 1551, 1859, 6787, 2293}},
+{1640, 14, 5771, {1, 3, 3, 11, 11, 35, 91, 65, 43, 509, 1829, 1149, 4801, 4109}},
+{1641, 14, 5781, {1, 3, 5, 9, 15, 3, 81, 109, 231, 481, 417, 2505, 315, 6693}},
+{1642, 14, 5801, {1, 1, 3, 9, 3, 7, 107, 221, 297, 543, 149, 579, 927, 79}},
+{1643, 14, 5809, {1, 3, 1, 11, 17, 3, 81, 137, 157, 587, 741, 1277, 2631, 3953}},
+{1644, 14, 5810, {1, 1, 7, 5, 13, 43, 117, 19, 495, 185, 1105, 605, 5249, 11099}},
+{1645, 14, 5812, {1, 1, 7, 9, 23, 55, 91, 213, 21, 779, 857, 2047, 7813, 10053}},
+{1646, 14, 5841, {1, 1, 1, 1, 27, 7, 39, 181, 63, 519, 1073, 3147, 4111, 363}},
+{1647, 14, 5848, {1, 3, 7, 9, 15, 61, 7, 139, 495, 805, 1545, 3789, 2411, 3989}},
+{1648, 14, 5853, {1, 1, 3, 1, 25, 11, 23, 241, 167, 607, 479, 153, 7787, 13929}},
+{1649, 14, 5854, {1, 3, 5, 15, 29, 35, 45, 71, 457, 297, 883, 3021, 5361, 15427}},
+{1650, 14, 5858, {1, 3, 1, 7, 29, 27, 93, 241, 427, 89, 1185, 37, 3863, 14095}},
+{1651, 14, 5892, {1, 3, 1, 5, 5, 45, 51, 15, 235, 889, 1649, 2331, 2713, 10943}},
+{1652, 14, 5907, {1, 1, 3, 11, 11, 15, 71, 85, 135, 163, 139, 1147, 1043, 3195}},
+{1653, 14, 5910, {1, 3, 5, 13, 3, 43, 71, 131, 473, 933, 569, 2491, 7751, 1865}},
+{1654, 14, 5913, {1, 1, 7, 9, 21, 37, 105, 227, 329, 509, 1319, 307, 1557, 14625}},
+{1655, 14, 5920, {1, 1, 3, 13, 15, 1, 25, 93, 335, 953, 769, 4039, 369, 10727}},
+{1656, 14, 5929, {1, 3, 7, 5, 17, 21, 59, 89, 437, 679, 437, 1543, 7663, 5005}},
+{1657, 14, 5949, {1, 1, 7, 15, 27, 49, 125, 13, 397, 877, 1087, 2191, 4711, 9065}},
+{1658, 14, 5952, {1, 1, 7, 5, 15, 47, 115, 125, 187, 31, 1003, 2575, 5397, 3883}},
+{1659, 14, 5955, {1, 1, 7, 11, 15, 1, 127, 207, 383, 707, 183, 1053, 3123, 14071}},
+{1660, 14, 5962, {1, 3, 3, 1, 31, 53, 15, 19, 477, 245, 777, 1613, 5813, 7443}},
+{1661, 14, 5975, {1, 3, 1, 11, 23, 59, 65, 23, 493, 157, 1389, 2833, 4535, 3907}},
+{1662, 14, 5985, {1, 1, 7, 1, 19, 7, 51, 135, 327, 441, 1841, 3091, 3451, 14381}},
+{1663, 14, 5997, {1, 1, 7, 7, 3, 37, 29, 249, 437, 319, 1693, 945, 7639, 5923}},
+{1664, 14, 5998, {1, 3, 7, 15, 7, 61, 81, 127, 383, 99, 23, 3833, 3973, 7651}},
+{1665, 14, 6012, {1, 3, 1, 7, 7, 21, 119, 185, 243, 619, 1363, 2033, 4835, 5089}},
+{1666, 14, 6016, {1, 3, 1, 1, 3, 27, 63, 145, 271, 735, 695, 3981, 3049, 5433}},
+{1667, 14, 6026, {1, 3, 3, 1, 3, 29, 79, 211, 279, 819, 501, 3665, 1455, 10455}},
+{1668, 14, 6036, {1, 1, 3, 3, 31, 61, 113, 5, 411, 91, 489, 3257, 5939, 6715}},
+{1669, 14, 6040, {1, 1, 5, 1, 23, 11, 103, 89, 377, 441, 43, 967, 3383, 8717}},
+{1670, 14, 6045, {1, 1, 5, 13, 29, 39, 97, 189, 197, 621, 1755, 333, 6783, 9711}},
+{1671, 14, 6055, {1, 1, 5, 13, 27, 17, 97, 197, 351, 799, 335, 765, 5329, 12549}},
+{1672, 14, 6059, {1, 1, 5, 11, 29, 17, 9, 211, 127, 633, 1187, 3965, 4145, 12667}},
+{1673, 14, 6088, {1, 1, 7, 5, 27, 29, 65, 115, 287, 325, 461, 5, 899, 2027}},
+{1674, 14, 6115, {1, 1, 1, 5, 27, 17, 31, 13, 231, 627, 1163, 649, 1693, 9975}},
+{1675, 14, 6124, {1, 3, 1, 15, 7, 49, 113, 123, 427, 603, 347, 2785, 7129, 4645}},
+{1676, 14, 6127, {1, 1, 3, 7, 1, 33, 113, 105, 411, 939, 205, 3965, 4361, 4649}},
+{1677, 14, 6132, {1, 1, 1, 1, 5, 21, 35, 159, 275, 929, 1193, 3205, 4787, 3515}},
+{1678, 14, 6146, {1, 1, 1, 5, 1, 21, 29, 191, 275, 233, 1239, 515, 4349, 14989}},
+{1679, 14, 6158, {1, 1, 5, 11, 27, 43, 111, 83, 153, 577, 1537, 149, 231, 839}},
+{1680, 14, 6169, {1, 3, 5, 13, 21, 19, 57, 69, 87, 163, 271, 3535, 1057, 8517}},
+{1681, 14, 6206, {1, 3, 3, 13, 17, 49, 65, 45, 457, 241, 391, 2033, 2507, 7771}},
+{1682, 14, 6228, {1, 1, 5, 7, 11, 19, 79, 133, 341, 761, 27, 3905, 4137, 14363}},
+{1683, 14, 6237, {1, 3, 3, 13, 19, 1, 11, 139, 249, 245, 1393, 2151, 2857, 1665}},
+{1684, 14, 6244, {1, 1, 3, 15, 11, 7, 127, 47, 385, 1007, 713, 2235, 5489, 8755}},
+{1685, 14, 6247, {1, 3, 5, 13, 19, 21, 21, 167, 405, 655, 1653, 889, 7367, 4177}},
+{1686, 14, 6256, {1, 1, 5, 3, 19, 63, 99, 39, 89, 415, 951, 2863, 6569, 3797}},
+{1687, 14, 6281, {1, 1, 1, 13, 31, 29, 119, 35, 311, 839, 1749, 941, 7487, 2385}},
+{1688, 14, 6282, {1, 3, 7, 3, 17, 3, 97, 143, 465, 345, 1457, 2201, 5329, 359}},
+{1689, 14, 6284, {1, 3, 7, 11, 1, 15, 3, 115, 335, 567, 1749, 1811, 3491, 15939}},
+{1690, 14, 6296, {1, 1, 3, 13, 3, 21, 7, 141, 149, 571, 1877, 473, 2143, 9569}},
+{1691, 14, 6299, {1, 3, 3, 11, 23, 61, 47, 179, 297, 453, 181, 3405, 2981, 13409}},
+{1692, 14, 6302, {1, 3, 1, 13, 1, 43, 5, 201, 371, 1003, 367, 2709, 7675, 14973}},
+{1693, 14, 6325, {1, 3, 3, 15, 29, 17, 19, 241, 495, 317, 1135, 2227, 6457, 4783}},
+{1694, 14, 6349, {1, 3, 3, 7, 29, 9, 57, 95, 261, 531, 1717, 3389, 7991, 3793}},
+{1695, 14, 6352, {1, 1, 1, 5, 31, 43, 73, 119, 499, 589, 1529, 3337, 4097, 15641}},
+{1696, 14, 6362, {1, 1, 7, 9, 29, 43, 127, 91, 243, 979, 1325, 2835, 2787, 9445}},
+{1697, 14, 6383, {1, 1, 7, 5, 9, 3, 115, 199, 219, 901, 747, 1077, 3197, 2443}},
+{1698, 14, 6386, {1, 3, 5, 1, 3, 43, 7, 117, 297, 313, 1043, 1579, 5099, 13289}},
+{1699, 14, 6395, {1, 1, 7, 11, 29, 33, 15, 121, 131, 579, 317, 1871, 1121, 11653}},
+{1700, 14, 6397, {1, 1, 5, 9, 25, 25, 43, 89, 355, 1011, 1385, 2901, 6387, 1653}},
+{1701, 14, 6415, {1, 1, 1, 9, 5, 47, 61, 165, 85, 757, 1397, 1177, 1657, 4899}},
+{1702, 14, 6424, {1, 1, 3, 9, 11, 49, 15, 139, 261, 613, 931, 1299, 2777, 2835}},
+{1703, 14, 6429, {1, 1, 1, 5, 3, 55, 83, 227, 125, 581, 1607, 1171, 6681, 14463}},
+{1704, 14, 6439, {1, 3, 5, 13, 5, 55, 3, 247, 493, 155, 1073, 3743, 5719, 4019}},
+{1705, 14, 6451, {1, 1, 7, 1, 11, 23, 13, 75, 399, 847, 499, 1643, 6977, 3699}},
+{1706, 14, 6489, {1, 3, 1, 9, 11, 41, 47, 131, 313, 627, 481, 2469, 3281, 979}},
+{1707, 14, 6496, {1, 3, 5, 13, 29, 3, 65, 101, 11, 29, 1807, 153, 1487, 16109}},
+{1708, 14, 6502, {1, 1, 5, 9, 13, 31, 83, 195, 351, 355, 467, 3871, 3085, 4441}},
+{1709, 14, 6511, {1, 3, 5, 3, 19, 21, 111, 179, 143, 361, 1619, 1547, 3409, 6905}},
+{1710, 14, 6514, {1, 1, 5, 9, 31, 1, 93, 199, 491, 135, 1627, 2559, 1389, 14561}},
+{1711, 14, 6520, {1, 3, 3, 9, 25, 53, 3, 105, 39, 445, 259, 1045, 1129, 9153}},
+{1712, 14, 6523, {1, 1, 5, 9, 19, 63, 71, 9, 73, 435, 1377, 4015, 1821, 6453}},
+{1713, 14, 6529, {1, 3, 7, 13, 19, 13, 37, 247, 391, 23, 1491, 1257, 6395, 237}},
+{1714, 14, 6532, {1, 1, 3, 3, 19, 55, 109, 23, 227, 747, 729, 2221, 727, 2209}},
+{1715, 14, 6547, {1, 1, 5, 11, 25, 21, 75, 37, 219, 355, 1005, 1895, 7039, 5225}},
+{1716, 14, 6549, {1, 3, 5, 13, 11, 43, 9, 67, 87, 797, 1077, 245, 4521, 11845}},
+{1717, 14, 6598, {1, 3, 5, 3, 15, 29, 127, 237, 277, 373, 1859, 3083, 587, 1123}},
+{1718, 14, 6601, {1, 1, 7, 15, 13, 7, 103, 53, 13, 965, 1497, 775, 3439, 1501}},
+{1719, 14, 6610, {1, 3, 3, 15, 17, 13, 97, 169, 67, 953, 189, 2739, 1459, 10543}},
+{1720, 14, 6622, {1, 1, 5, 1, 17, 39, 15, 127, 327, 989, 1471, 3235, 2801, 15311}},
+{1721, 14, 6632, {1, 1, 1, 15, 5, 37, 55, 155, 47, 463, 1851, 3467, 2765, 9359}},
+{1722, 14, 6655, {1, 3, 3, 15, 1, 13, 93, 239, 291, 115, 365, 61, 395, 15853}},
+{1723, 14, 6665, {1, 1, 5, 1, 19, 27, 61, 95, 105, 369, 1557, 961, 6917, 3621}},
+{1724, 14, 6666, {1, 3, 3, 9, 7, 35, 115, 53, 111, 345, 1145, 1687, 3401, 12107}},
+{1725, 14, 6695, {1, 1, 1, 5, 7, 31, 63, 19, 373, 79, 1369, 3037, 2835, 4439}},
+{1726, 14, 6701, {1, 3, 7, 9, 11, 17, 29, 33, 331, 447, 1981, 3333, 6535, 6557}},
+{1727, 14, 6709, {1, 3, 3, 5, 11, 41, 29, 43, 365, 279, 1919, 945, 179, 1987}},
+{1728, 14, 6710, {1, 3, 1, 13, 7, 7, 25, 33, 103, 367, 1267, 763, 5691, 8643}},
+{1729, 14, 6741, {1, 3, 1, 5, 11, 15, 3, 213, 511, 211, 1069, 4047, 3335, 12729}},
+{1730, 14, 6745, {1, 1, 3, 1, 5, 11, 27, 201, 361, 537, 679, 3709, 293, 2997}},
+{1731, 14, 6758, {1, 1, 3, 1, 25, 15, 19, 185, 369, 577, 1625, 655, 2363, 3861}},
+{1732, 14, 6767, {1, 1, 5, 5, 1, 47, 61, 45, 411, 597, 955, 1007, 3775, 5809}},
+{1733, 14, 6772, {1, 1, 5, 3, 27, 51, 101, 167, 429, 333, 1703, 3541, 2947, 3695}},
+{1734, 14, 6782, {1, 3, 5, 5, 1, 53, 17, 63, 141, 215, 1223, 3129, 635, 15919}},
+{1735, 14, 6797, {1, 3, 3, 1, 23, 31, 25, 11, 195, 241, 995, 3941, 573, 13855}},
+{1736, 14, 6800, {1, 3, 3, 7, 17, 13, 71, 203, 465, 479, 1857, 1493, 8067, 7113}},
+{1737, 14, 6843, {1, 1, 5, 3, 11, 57, 9, 59, 225, 691, 425, 2423, 6031, 6631}},
+{1738, 14, 6845, {1, 3, 7, 1, 29, 57, 103, 123, 401, 807, 471, 2759, 5113, 15937}},
+{1739, 14, 6860, {1, 3, 1, 1, 3, 1, 67, 123, 157, 655, 519, 323, 1853, 15041}},
+{1740, 14, 6865, {1, 1, 7, 5, 11, 11, 105, 135, 247, 689, 1141, 2347, 7113, 9347}},
+{1741, 14, 6878, {1, 1, 3, 11, 15, 37, 87, 3, 209, 575, 1521, 3863, 3893, 211}},
+{1742, 14, 6887, {1, 3, 1, 3, 29, 55, 115, 31, 19, 195, 985, 3275, 363, 9801}},
+{1743, 14, 6888, {1, 1, 3, 9, 13, 31, 57, 251, 201, 275, 1751, 389, 1463, 13159}},
+{1744, 14, 6901, {1, 3, 5, 15, 19, 51, 127, 255, 397, 243, 29, 3007, 7845, 4687}},
+{1745, 14, 6906, {1, 1, 7, 15, 9, 37, 39, 217, 509, 137, 1123, 3361, 6323, 5323}},
+{1746, 14, 6940, {1, 3, 7, 5, 25, 3, 93, 203, 345, 581, 261, 2811, 4829, 6977}},
+{1747, 14, 6947, {1, 1, 7, 1, 15, 41, 51, 227, 447, 893, 1209, 3865, 5229, 4277}},
+{1748, 14, 6953, {1, 1, 1, 5, 31, 19, 23, 195, 359, 853, 595, 337, 2503, 16371}},
+{1749, 14, 6954, {1, 3, 7, 5, 5, 13, 89, 157, 351, 777, 151, 3565, 4219, 7423}},
+{1750, 14, 6959, {1, 1, 1, 5, 7, 1, 9, 89, 175, 909, 1523, 2295, 7949, 6739}},
+{1751, 14, 6961, {1, 3, 5, 15, 27, 17, 11, 235, 19, 105, 457, 465, 3819, 11335}},
+{1752, 14, 6964, {1, 3, 1, 13, 3, 41, 85, 221, 451, 613, 543, 2265, 6831, 1725}},
+{1753, 14, 6991, {1, 1, 7, 7, 3, 29, 9, 197, 455, 665, 343, 1811, 5395, 393}},
+{1754, 14, 6993, {1, 1, 3, 13, 29, 55, 71, 95, 475, 615, 2029, 123, 413, 16127}},
+{1755, 14, 6999, {1, 1, 5, 9, 15, 61, 9, 51, 105, 271, 511, 2801, 693, 11839}},
+{1756, 14, 7016, {1, 1, 7, 13, 29, 9, 105, 59, 377, 635, 717, 4033, 6963, 10541}},
+{1757, 14, 7029, {1, 1, 1, 13, 7, 13, 59, 17, 335, 355, 77, 3665, 7003, 9521}},
+{1758, 14, 7036, {1, 3, 1, 1, 23, 43, 51, 209, 151, 365, 1021, 2859, 3937, 2899}},
+{1759, 14, 7045, {1, 1, 3, 3, 31, 41, 111, 107, 171, 433, 1233, 505, 2971, 6927}},
+{1760, 14, 7076, {1, 3, 7, 13, 17, 25, 127, 195, 257, 551, 1867, 2145, 3695, 14567}},
+{1761, 14, 7083, {1, 1, 5, 13, 13, 45, 39, 195, 55, 991, 1981, 1043, 5875, 581}},
+{1762, 14, 7094, {1, 3, 3, 11, 25, 31, 91, 153, 415, 449, 1301, 563, 7755, 10671}},
+{1763, 14, 7097, {1, 1, 3, 5, 31, 63, 1, 157, 229, 949, 971, 137, 6589, 8387}},
+{1764, 14, 7123, {1, 3, 7, 15, 25, 7, 89, 133, 73, 497, 1361, 613, 455, 1005}},
+{1765, 14, 7130, {1, 3, 3, 1, 13, 5, 119, 93, 175, 511, 1923, 763, 7573, 7545}},
+{1766, 14, 7139, {1, 1, 3, 15, 27, 59, 49, 205, 497, 485, 117, 2523, 4495, 15153}},
+{1767, 14, 7145, {1, 3, 7, 9, 15, 47, 111, 31, 363, 11, 475, 2931, 6813, 1259}},
+{1768, 14, 7146, {1, 1, 5, 5, 1, 35, 95, 225, 17, 991, 809, 2601, 6455, 13803}},
+{1769, 14, 7178, {1, 1, 5, 5, 15, 1, 1, 171, 433, 887, 1813, 3431, 2471, 7803}},
+{1770, 14, 7186, {1, 3, 3, 15, 1, 15, 43, 179, 15, 949, 1881, 1027, 6989, 8955}},
+{1771, 14, 7192, {1, 3, 7, 13, 1, 3, 49, 183, 373, 175, 1733, 913, 929, 1065}},
+{1772, 14, 7198, {1, 3, 5, 7, 15, 51, 107, 115, 323, 357, 167, 2069, 7541, 9601}},
+{1773, 14, 7222, {1, 1, 3, 5, 5, 21, 31, 107, 21, 299, 1937, 43, 3673, 8155}},
+{1774, 14, 7269, {1, 3, 5, 11, 9, 55, 35, 113, 29, 99, 161, 1607, 8141, 4951}},
+{1775, 14, 7270, {1, 3, 7, 15, 25, 7, 113, 179, 213, 19, 1717, 1027, 2021, 11263}},
+{1776, 14, 7276, {1, 1, 5, 1, 31, 33, 85, 111, 67, 95, 2013, 2217, 871, 5329}},
+{1777, 14, 7287, {1, 1, 1, 7, 7, 63, 67, 145, 495, 419, 1945, 3437, 6255, 151}},
+{1778, 14, 7307, {1, 3, 5, 7, 17, 37, 97, 187, 215, 399, 1603, 2195, 5923, 769}},
+{1779, 14, 7315, {1, 1, 3, 9, 25, 1, 119, 193, 385, 861, 2005, 2769, 675, 767}},
+{1780, 14, 7334, {1, 3, 1, 15, 19, 7, 5, 227, 173, 383, 289, 461, 579, 3689}},
+{1781, 14, 7340, {1, 3, 1, 11, 1, 37, 93, 239, 465, 891, 1479, 921, 4439, 15265}},
+{1782, 14, 7351, {1, 1, 1, 13, 27, 61, 99, 69, 279, 655, 1853, 1593, 6319, 9003}},
+{1783, 14, 7352, {1, 1, 1, 11, 5, 7, 19, 7, 387, 303, 321, 931, 5809, 16029}},
+{1784, 14, 7357, {1, 1, 1, 15, 21, 55, 43, 107, 217, 687, 19, 3225, 3419, 9991}},
+{1785, 14, 7360, {1, 1, 7, 5, 7, 55, 79, 41, 317, 357, 859, 1205, 191, 9395}},
+{1786, 14, 7363, {1, 1, 3, 11, 3, 43, 7, 133, 115, 995, 1205, 1055, 4153, 10481}},
+{1787, 14, 7384, {1, 1, 7, 11, 31, 57, 53, 9, 459, 223, 1969, 3513, 7033, 8505}},
+{1788, 14, 7396, {1, 1, 3, 7, 17, 11, 115, 255, 281, 97, 1685, 2039, 2845, 11637}},
+{1789, 14, 7403, {1, 3, 7, 1, 23, 41, 69, 199, 53, 105, 657, 1453, 4429, 1101}},
+{1790, 14, 7406, {1, 3, 1, 5, 11, 33, 91, 131, 191, 73, 823, 117, 1053, 127}},
+{1791, 14, 7425, {1, 3, 7, 11, 7, 3, 21, 65, 187, 103, 1393, 1797, 6673, 1409}},
+{1792, 14, 7437, {1, 3, 7, 1, 31, 25, 25, 161, 299, 275, 417, 2267, 6861, 1255}},
+{1793, 14, 7445, {1, 3, 5, 13, 5, 11, 61, 155, 115, 1001, 747, 889, 3235, 5709}},
+{1794, 14, 7450, {1, 3, 7, 7, 7, 1, 97, 177, 507, 273, 1781, 3455, 5123, 15607}},
+{1795, 14, 7455, {1, 1, 7, 5, 1, 7, 59, 49, 147, 343, 97, 3517, 5611, 8705}},
+{1796, 14, 7461, {1, 1, 5, 13, 21, 29, 13, 21, 503, 515, 1217, 3905, 5513, 15849}},
+{1797, 14, 7466, {1, 3, 1, 9, 9, 39, 65, 111, 385, 757, 583, 2225, 2039, 2817}},
+{1798, 14, 7488, {1, 3, 3, 15, 23, 17, 63, 169, 503, 949, 849, 461, 6799, 669}},
+{1799, 14, 7494, {1, 1, 1, 3, 1, 41, 63, 159, 251, 457, 521, 1653, 623, 3287}},
+{1800, 14, 7515, {1, 1, 7, 3, 9, 1, 41, 37, 441, 921, 1415, 2955, 5841, 1451}},
+{1801, 14, 7517, {1, 1, 5, 11, 23, 29, 89, 185, 413, 357, 1131, 2369, 3835, 6233}},
+{1802, 14, 7521, {1, 1, 5, 15, 27, 35, 17, 73, 315, 911, 1761, 797, 5349, 3219}},
+{1803, 14, 7536, {1, 3, 7, 11, 21, 9, 119, 233, 249, 901, 189, 3625, 2691, 16201}},
+{1804, 14, 7546, {1, 3, 3, 13, 29, 61, 105, 145, 187, 79, 609, 321, 4289, 3933}},
+{1805, 14, 7569, {1, 3, 1, 15, 19, 63, 13, 185, 115, 219, 1021, 1205, 4273, 11521}},
+{1806, 14, 7591, {1, 1, 3, 3, 23, 31, 93, 153, 87, 947, 1039, 469, 4047, 8869}},
+{1807, 14, 7592, {1, 1, 1, 1, 9, 1, 85, 3, 15, 995, 455, 2769, 6781, 16203}},
+{1808, 14, 7598, {1, 1, 3, 3, 13, 7, 55, 215, 185, 367, 765, 441, 4497, 1521}},
+{1809, 14, 7612, {1, 1, 1, 5, 1, 31, 13, 95, 417, 735, 975, 3407, 4871, 16133}},
+{1810, 14, 7623, {1, 1, 3, 3, 5, 43, 111, 107, 419, 515, 1075, 3597, 1187, 4143}},
+{1811, 14, 7632, {1, 1, 3, 13, 31, 51, 83, 163, 489, 887, 863, 599, 9, 13861}},
+{1812, 14, 7637, {1, 3, 3, 3, 19, 27, 91, 115, 103, 969, 593, 3667, 1867, 15433}},
+{1813, 14, 7644, {1, 3, 3, 13, 7, 25, 47, 141, 57, 553, 1785, 1709, 7453, 2209}},
+{1814, 14, 7657, {1, 3, 1, 13, 11, 13, 71, 219, 5, 451, 2043, 1605, 6439, 12203}},
+{1815, 14, 7665, {1, 3, 1, 13, 5, 57, 61, 223, 401, 413, 321, 1365, 619, 12477}},
+{1816, 14, 7672, {1, 3, 1, 5, 25, 57, 89, 211, 195, 455, 1165, 3979, 6313, 5751}},
+{1817, 14, 7682, {1, 1, 1, 9, 31, 23, 71, 145, 89, 285, 1593, 1171, 5685, 15459}},
+{1818, 14, 7699, {1, 3, 7, 7, 9, 41, 65, 251, 65, 137, 1577, 3027, 5555, 2865}},
+{1819, 14, 7702, {1, 1, 5, 13, 27, 5, 125, 21, 171, 647, 983, 2921, 6623, 5695}},
+{1820, 14, 7724, {1, 1, 1, 13, 15, 9, 117, 197, 123, 953, 1191, 3657, 5757, 15957}},
+{1821, 14, 7749, {1, 1, 3, 7, 29, 13, 5, 175, 395, 127, 679, 255, 6055, 7639}},
+{1822, 14, 7753, {1, 3, 7, 15, 15, 51, 77, 147, 319, 147, 1775, 3983, 3175, 5723}},
+{1823, 14, 7754, {1, 3, 3, 3, 7, 11, 119, 41, 43, 153, 975, 679, 3081, 10359}},
+{1824, 14, 7761, {1, 1, 5, 13, 3, 7, 65, 67, 63, 399, 1561, 2789, 2083, 12289}},
+{1825, 14, 7771, {1, 1, 7, 3, 19, 53, 103, 67, 35, 865, 161, 93, 2533, 3851}},
+{1826, 14, 7777, {1, 1, 1, 11, 31, 9, 29, 189, 199, 817, 1571, 395, 345, 3777}},
+{1827, 14, 7784, {1, 3, 5, 11, 31, 3, 9, 67, 277, 735, 181, 2777, 3009, 7233}},
+{1828, 14, 7804, {1, 1, 3, 3, 17, 7, 17, 3, 375, 933, 237, 3919, 5409, 3355}},
+{1829, 14, 7807, {1, 3, 3, 5, 9, 27, 19, 77, 221, 3, 1965, 309, 3001, 15977}},
+{1830, 14, 7808, {1, 1, 5, 1, 3, 33, 35, 133, 37, 709, 627, 1705, 2525, 4307}},
+{1831, 14, 7818, {1, 1, 7, 3, 25, 21, 105, 55, 375, 681, 881, 1299, 5879, 459}},
+{1832, 14, 7835, {1, 3, 7, 1, 13, 7, 113, 103, 313, 515, 1041, 3683, 4619, 5093}},
+{1833, 14, 7842, {1, 1, 3, 7, 19, 43, 83, 37, 39, 133, 1759, 1171, 1521, 13717}},
+{1834, 14, 7865, {1, 1, 7, 13, 7, 35, 15, 155, 293, 1001, 157, 3883, 405, 1797}},
+{1835, 14, 7868, {1, 1, 3, 3, 13, 19, 125, 49, 333, 387, 339, 1815, 4503, 7359}},
+{1836, 14, 7880, {1, 1, 3, 13, 19, 19, 105, 225, 151, 27, 1251, 885, 4815, 7863}},
+{1837, 14, 7883, {1, 1, 1, 5, 7, 59, 17, 145, 77, 117, 1355, 1429, 2301, 16177}},
+{1838, 14, 7891, {1, 3, 3, 13, 5, 31, 119, 167, 459, 727, 1799, 2537, 695, 13637}},
+{1839, 14, 7897, {1, 3, 3, 3, 27, 51, 107, 85, 267, 57, 1279, 823, 6247, 3603}},
+{1840, 14, 7907, {1, 1, 7, 15, 29, 17, 67, 197, 215, 465, 109, 3461, 5269, 15287}},
+{1841, 14, 7910, {1, 1, 3, 5, 11, 15, 123, 53, 293, 797, 1105, 1777, 6509, 217}},
+{1842, 14, 7924, {1, 3, 3, 13, 3, 5, 109, 53, 203, 693, 871, 135, 369, 11149}},
+{1843, 14, 7933, {1, 3, 5, 15, 17, 43, 81, 235, 119, 817, 1777, 261, 8049, 4251}},
+{1844, 14, 7934, {1, 1, 3, 7, 7, 13, 87, 99, 481, 931, 1507, 651, 5267, 8281}},
+{1845, 14, 7942, {1, 3, 1, 13, 27, 43, 77, 225, 341, 163, 933, 429, 4943, 7781}},
+{1846, 14, 7948, {1, 1, 7, 1, 1, 49, 85, 211, 449, 479, 1395, 787, 5653, 14891}},
+{1847, 14, 7959, {1, 1, 5, 9, 25, 13, 49, 85, 125, 85, 1281, 3365, 4305, 11791}},
+{1848, 14, 7984, {1, 3, 1, 13, 3, 31, 117, 39, 43, 151, 663, 669, 1571, 5207}},
+{1849, 14, 7994, {1, 3, 7, 15, 17, 7, 79, 163, 37, 841, 1799, 1787, 4501, 3785}},
+{1850, 14, 7999, {1, 1, 3, 9, 1, 23, 67, 191, 449, 931, 1521, 2705, 887, 7037}},
+{1851, 14, 8014, {1, 1, 1, 1, 5, 13, 55, 161, 419, 577, 1703, 2589, 2651, 2873}},
+{1852, 14, 8021, {1, 3, 3, 3, 5, 19, 37, 169, 69, 1003, 1755, 3101, 1469, 8583}},
+{1853, 14, 8041, {1, 1, 1, 1, 11, 33, 105, 79, 283, 91, 299, 835, 3193, 5593}},
+{1854, 14, 8049, {1, 3, 3, 13, 25, 21, 81, 213, 465, 475, 331, 457, 61, 9511}},
+{1855, 14, 8050, {1, 1, 3, 11, 1, 11, 77, 95, 455, 949, 1999, 1833, 1275, 5631}},
+{1856, 14, 8068, {1, 1, 1, 1, 15, 25, 51, 137, 275, 451, 1179, 3595, 5177, 7105}},
+{1857, 14, 8080, {1, 3, 3, 3, 3, 59, 79, 143, 393, 583, 349, 3039, 7079, 14245}},
+{1858, 14, 8095, {1, 1, 7, 9, 21, 11, 123, 105, 53, 297, 803, 4025, 5421, 14527}},
+{1859, 14, 8102, {1, 3, 7, 11, 21, 15, 103, 109, 311, 321, 1217, 2777, 5457, 1823}},
+{1860, 14, 8106, {1, 3, 5, 11, 19, 31, 79, 89, 295, 413, 817, 499, 3699, 14411}},
+{1861, 14, 8120, {1, 1, 1, 5, 11, 3, 81, 13, 315, 841, 1543, 411, 6883, 6347}},
+{1862, 14, 8133, {1, 3, 3, 11, 23, 43, 23, 131, 17, 517, 995, 2687, 7443, 15085}},
+{1863, 14, 8134, {1, 1, 1, 1, 11, 57, 73, 9, 123, 905, 1763, 1789, 3701, 7131}},
+{1864, 14, 8143, {1, 1, 3, 5, 9, 53, 99, 229, 43, 207, 625, 1583, 6727, 15249}},
+{1865, 14, 8162, {1, 1, 7, 7, 17, 39, 91, 1, 297, 711, 225, 513, 7391, 291}},
+{1866, 14, 8168, {1, 1, 7, 11, 7, 55, 111, 129, 423, 521, 1807, 3015, 1449, 12321}},
+{1867, 14, 8179, {1, 3, 7, 3, 13, 9, 125, 187, 11, 485, 647, 275, 3495, 11989}},
+{1868, 15, 1, {1, 1, 3, 11, 11, 25, 49, 33, 361, 105, 271, 3841, 4837, 2437, 30181}},
+{1869, 15, 8, {1, 3, 5, 1, 27, 15, 119, 35, 159, 273, 1489, 3157, 5433, 3337, 26859}},
+{1870, 15, 11, {1, 3, 5, 13, 23, 31, 97, 145, 41, 605, 1455, 59, 5389, 5527, 14447}},
+{1871, 15, 22, {1, 1, 7, 9, 7, 41, 61, 193, 353, 879, 1805, 581, 5447, 11177, 7331}},
+{1872, 15, 26, {1, 1, 7, 11, 29, 19, 55, 207, 361, 759, 63, 2255, 2119, 14671, 21783}},
+{1873, 15, 47, {1, 3, 1, 13, 17, 7, 73, 179, 103, 23, 917, 1205, 4925, 1691, 5419}},
+{1874, 15, 59, {1, 3, 5, 3, 15, 3, 9, 109, 227, 861, 867, 3529, 1535, 489, 22873}},
+{1875, 15, 64, {1, 3, 3, 9, 15, 15, 95, 193, 385, 997, 1525, 1865, 1425, 4079, 14771}},
+{1876, 15, 67, {1, 1, 3, 5, 5, 29, 49, 171, 171, 623, 1167, 3743, 1809, 12009, 7043}},
+{1877, 15, 73, {1, 3, 7, 5, 23, 11, 87, 183, 299, 555, 1857, 489, 3505, 9161, 28763}},
+{1878, 15, 82, {1, 3, 5, 9, 19, 21, 85, 127, 337, 439, 1183, 1891, 1877, 4373, 10451}},
+{1879, 15, 97, {1, 3, 7, 13, 27, 17, 29, 83, 463, 385, 1167, 3453, 4523, 4759, 9321}},
+{1880, 15, 103, {1, 1, 3, 7, 21, 59, 65, 83, 177, 763, 317, 2913, 7527, 5967, 17167}},
+{1881, 15, 110, {1, 1, 7, 15, 13, 27, 49, 35, 253, 101, 1699, 355, 2181, 10859, 24221}},
+{1882, 15, 115, {1, 1, 5, 1, 17, 17, 81, 91, 349, 655, 1373, 2225, 945, 899, 31801}},
+{1883, 15, 122, {1, 3, 7, 11, 5, 1, 81, 53, 215, 587, 167, 4045, 5671, 5597, 13529}},
+{1884, 15, 128, {1, 3, 5, 15, 1, 9, 59, 235, 315, 195, 909, 2237, 505, 10415, 28145}},
+{1885, 15, 138, {1, 1, 1, 3, 9, 31, 41, 43, 275, 921, 25, 671, 5737, 11241, 4193}},
+{1886, 15, 146, {1, 3, 3, 13, 29, 13, 95, 213, 317, 995, 1489, 3779, 3043, 8569, 28823}},
+{1887, 15, 171, {1, 1, 7, 5, 9, 49, 125, 241, 87, 153, 1673, 3849, 7253, 1715, 11627}},
+{1888, 15, 174, {1, 1, 3, 9, 27, 27, 19, 223, 63, 463, 1095, 1395, 6643, 11589, 2145}},
+{1889, 15, 176, {1, 1, 3, 15, 21, 17, 45, 23, 357, 11, 1307, 1791, 2481, 2123, 24341}},
+{1890, 15, 182, {1, 3, 5, 15, 31, 53, 117, 51, 433, 193, 1239, 3329, 2403, 12745, 32219}},
+{1891, 15, 194, {1, 1, 5, 9, 7, 27, 9, 115, 417, 579, 83, 173, 4717, 15665, 27463}},
+{1892, 15, 208, {1, 3, 5, 7, 9, 9, 31, 35, 249, 567, 331, 905, 5101, 14817, 14255}},
+{1893, 15, 211, {1, 3, 7, 3, 1, 61, 29, 129, 119, 421, 1597, 2987, 3041, 7629, 23451}},
+{1894, 15, 220, {1, 1, 7, 9, 13, 1, 99, 105, 107, 509, 989, 2259, 1009, 6827, 8903}},
+{1895, 15, 229, {1, 3, 5, 15, 11, 29, 85, 29, 265, 105, 2035, 3349, 3543, 13903, 10213}},
+{1896, 15, 230, {1, 3, 1, 1, 25, 19, 53, 139, 467, 485, 491, 3067, 7353, 13861, 25819}},
+{1897, 15, 239, {1, 1, 5, 3, 3, 43, 41, 185, 45, 463, 351, 2823, 2519, 6705, 11395}},
+{1898, 15, 254, {1, 3, 7, 13, 11, 15, 87, 221, 427, 673, 1631, 599, 3259, 10691, 31283}},
+{1899, 15, 265, {1, 3, 5, 11, 9, 9, 15, 49, 275, 335, 1613, 3587, 5309, 14849, 26475}},
+{1900, 15, 285, {1, 3, 7, 9, 29, 13, 79, 225, 381, 781, 1411, 2761, 7157, 14983, 19717}},
+{1901, 15, 290, {1, 1, 7, 11, 29, 25, 117, 183, 101, 651, 653, 3157, 445, 14389, 23293}},
+{1902, 15, 319, {1, 1, 1, 3, 5, 33, 73, 155, 473, 387, 591, 2045, 5965, 16299, 31499}},
+{1903, 15, 324, {1, 3, 1, 7, 11, 33, 29, 21, 491, 937, 729, 4075, 975, 2461, 18991}},
+{1904, 15, 327, {1, 3, 7, 15, 29, 39, 105, 111, 173, 943, 69, 295, 8175, 13037, 26131}},
+{1905, 15, 333, {1, 1, 5, 15, 7, 5, 97, 147, 105, 887, 443, 2595, 5889, 10753, 1619}},
+{1906, 15, 357, {1, 3, 3, 15, 11, 45, 87, 207, 353, 909, 1847, 323, 2283, 12885, 16415}},
+{1907, 15, 364, {1, 1, 5, 3, 19, 33, 43, 79, 115, 653, 359, 2873, 4609, 12439, 6339}},
+{1908, 15, 395, {1, 3, 7, 9, 17, 61, 49, 227, 291, 69, 1753, 3899, 483, 3187, 29041}},
+{1909, 15, 397, {1, 3, 5, 3, 25, 35, 61, 211, 393, 199, 691, 1779, 6295, 13371, 15817}},
+{1910, 15, 405, {1, 3, 7, 5, 7, 23, 37, 91, 245, 915, 579, 867, 6193, 1063, 17363}},
+{1911, 15, 409, {1, 3, 7, 7, 23, 51, 41, 63, 375, 3, 159, 1889, 4419, 1687, 17977}},
+{1912, 15, 419, {1, 1, 1, 7, 13, 11, 53, 43, 317, 325, 1749, 2423, 4123, 8595, 20773}},
+{1913, 15, 422, {1, 1, 7, 7, 9, 9, 61, 113, 437, 213, 1407, 645, 4345, 807, 30411}},
+{1914, 15, 431, {1, 3, 3, 11, 17, 39, 17, 113, 391, 385, 581, 2023, 7449, 10153, 22033}},
+{1915, 15, 433, {1, 1, 3, 5, 29, 31, 101, 215, 379, 377, 1113, 2855, 7147, 14377, 25515}},
+{1916, 15, 436, {1, 3, 5, 5, 13, 3, 121, 125, 227, 969, 11, 1115, 5657, 9209, 6117}},
+{1917, 15, 440, {1, 3, 7, 15, 29, 17, 33, 123, 317, 301, 749, 1365, 5619, 605, 1613}},
+{1918, 15, 453, {1, 3, 1, 15, 7, 53, 125, 249, 219, 655, 105, 2825, 1649, 12783, 19777}},
+{1919, 15, 460, {1, 1, 7, 1, 25, 53, 19, 53, 157, 373, 1855, 495, 5065, 9465, 2313}},
+{1920, 15, 471, {1, 3, 5, 13, 3, 57, 57, 161, 431, 415, 1859, 1033, 6349, 1577, 31579}},
+{1921, 15, 478, {1, 1, 7, 5, 23, 63, 29, 221, 13, 965, 1997, 2265, 1583, 10491, 9551}},
+{1922, 15, 482, {1, 1, 3, 13, 31, 25, 23, 61, 285, 5, 2005, 879, 795, 13299, 19685}},
+{1923, 15, 488, {1, 1, 7, 1, 21, 45, 121, 89, 263, 543, 1333, 2711, 219, 10823, 26139}},
+{1924, 15, 524, {1, 1, 3, 3, 27, 13, 19, 117, 161, 457, 1541, 295, 4953, 12125, 14503}},
+{1925, 15, 529, {1, 3, 5, 3, 7, 63, 13, 247, 439, 681, 977, 2537, 6923, 10323, 7349}},
+{1926, 15, 535, {1, 3, 5, 9, 3, 51, 81, 251, 349, 983, 581, 2515, 2281, 2849, 31915}},
+{1927, 15, 536, {1, 3, 5, 3, 11, 63, 47, 137, 303, 627, 91, 2269, 7097, 2145, 31059}},
+{1928, 15, 539, {1, 1, 3, 15, 13, 17, 53, 27, 133, 13, 117, 1837, 4103, 5843, 29153}},
+{1929, 15, 563, {1, 1, 5, 13, 21, 33, 37, 253, 465, 209, 309, 49, 3209, 15677, 14569}},
+{1930, 15, 566, {1, 1, 7, 15, 13, 21, 33, 203, 499, 141, 1155, 3893, 1663, 2115, 27459}},
+{1931, 15, 572, {1, 3, 5, 11, 21, 9, 39, 157, 257, 273, 1257, 1831, 515, 7969, 20133}},
+{1932, 15, 577, {1, 1, 3, 13, 19, 29, 15, 189, 103, 219, 1395, 517, 7425, 6585, 15865}},
+{1933, 15, 587, {1, 1, 5, 11, 21, 31, 49, 151, 39, 537, 1783, 3449, 6915, 223, 11587}},
+{1934, 15, 592, {1, 3, 3, 11, 7, 63, 69, 31, 27, 911, 1903, 2821, 7977, 12949, 32257}},
+{1935, 15, 602, {1, 1, 7, 9, 25, 45, 23, 233, 511, 595, 1383, 1721, 6789, 12055, 21179}},
+{1936, 15, 623, {1, 1, 7, 13, 1, 27, 123, 49, 439, 683, 501, 641, 1947, 6111, 25423}},
+{1937, 15, 635, {1, 3, 3, 5, 1, 23, 57, 241, 243, 593, 2039, 1617, 2209, 5171, 9675}},
+{1938, 15, 638, {1, 1, 1, 7, 5, 19, 83, 55, 481, 125, 177, 1021, 1139, 11403, 23099}},
+{1939, 15, 654, {1, 1, 3, 5, 29, 39, 33, 217, 461, 907, 733, 3795, 4811, 12939, 27715}},
+{1940, 15, 656, {1, 3, 7, 3, 7, 11, 39, 165, 495, 147, 999, 1827, 817, 603, 9293}},
+{1941, 15, 659, {1, 3, 7, 15, 25, 53, 35, 15, 431, 733, 1213, 2907, 8087, 3939, 27363}},
+{1942, 15, 665, {1, 3, 7, 13, 13, 9, 33, 27, 485, 183, 455, 3341, 2555, 4985, 8793}},
+{1943, 15, 675, {1, 1, 1, 15, 25, 47, 75, 21, 205, 15, 1639, 3067, 1295, 11693, 16903}},
+{1944, 15, 677, {1, 1, 1, 15, 3, 31, 93, 57, 43, 185, 251, 1899, 7885, 10829, 3609}},
+{1945, 15, 687, {1, 1, 3, 1, 29, 9, 69, 223, 221, 537, 365, 3411, 5771, 15279, 5309}},
+{1946, 15, 696, {1, 1, 7, 5, 1, 5, 125, 243, 213, 1003, 1571, 3355, 3981, 8781, 25993}},
+{1947, 15, 701, {1, 1, 1, 13, 7, 19, 53, 243, 301, 75, 1183, 2723, 6687, 13, 16581}},
+{1948, 15, 704, {1, 3, 1, 13, 17, 51, 91, 239, 437, 191, 1065, 2495, 5755, 3405, 8299}},
+{1949, 15, 710, {1, 1, 5, 5, 11, 59, 21, 169, 299, 123, 1845, 2199, 2157, 14461, 10327}},
+{1950, 15, 721, {1, 3, 7, 7, 19, 47, 51, 179, 41, 19, 1347, 2325, 8063, 5993, 15653}},
+{1951, 15, 728, {1, 1, 1, 9, 25, 27, 7, 133, 223, 533, 719, 353, 7093, 8285, 10375}},
+{1952, 15, 738, {1, 3, 5, 15, 31, 5, 67, 39, 441, 495, 977, 3699, 1435, 11385, 14567}},
+{1953, 15, 740, {1, 1, 3, 15, 15, 39, 25, 33, 91, 523, 249, 4035, 769, 5181, 9691}},
+{1954, 15, 749, {1, 1, 3, 3, 3, 57, 83, 187, 423, 165, 161, 3453, 2241, 981, 8429}},
+{1955, 15, 758, {1, 1, 7, 15, 1, 17, 57, 189, 283, 11, 823, 3505, 7025, 11879, 15441}},
+{1956, 15, 761, {1, 1, 3, 11, 1, 41, 7, 255, 385, 339, 607, 1405, 1473, 13697, 9491}},
+{1957, 15, 772, {1, 1, 7, 15, 5, 9, 91, 99, 211, 233, 51, 2663, 1165, 9283, 18495}},
+{1958, 15, 776, {1, 1, 3, 7, 21, 37, 13, 91, 39, 27, 1021, 2813, 5937, 6645, 3403}},
+{1959, 15, 782, {1, 3, 1, 1, 29, 29, 5, 69, 399, 665, 1407, 3921, 2653, 11753, 18925}},
+{1960, 15, 789, {1, 3, 7, 15, 13, 41, 39, 1, 437, 549, 161, 2315, 5631, 8335, 22661}},
+{1961, 15, 810, {1, 1, 3, 1, 7, 17, 115, 61, 69, 955, 475, 3763, 8035, 927, 17893}},
+{1962, 15, 812, {1, 3, 1, 13, 21, 59, 81, 145, 463, 145, 1941, 2777, 7453, 14229, 11281}},
+{1963, 15, 818, {1, 1, 1, 15, 15, 11, 27, 165, 461, 395, 1645, 3611, 7463, 12379, 26787}},
+{1964, 15, 830, {1, 1, 7, 9, 29, 19, 27, 123, 21, 149, 1643, 4001, 7207, 6769, 4647}},
+{1965, 15, 832, {1, 1, 1, 11, 13, 9, 103, 139, 185, 587, 591, 1113, 2223, 11667, 32671}},
+{1966, 15, 852, {1, 3, 1, 1, 31, 13, 19, 93, 229, 125, 1471, 2369, 3055, 10277, 28563}},
+{1967, 15, 855, {1, 3, 7, 5, 7, 53, 99, 175, 161, 851, 617, 4027, 2357, 11199, 1931}},
+{1968, 15, 859, {1, 3, 5, 11, 3, 31, 111, 179, 237, 845, 539, 1057, 259, 3417, 26637}},
+{1969, 15, 865, {1, 1, 5, 3, 21, 49, 125, 119, 463, 403, 737, 1811, 3941, 13015, 29081}},
+{1970, 15, 877, {1, 3, 5, 13, 5, 29, 69, 251, 313, 357, 663, 1097, 3307, 12845, 28495}},
+{1971, 15, 895, {1, 3, 3, 5, 29, 17, 89, 15, 411, 409, 2013, 757, 4085, 12521, 11131}},
+{1972, 15, 901, {1, 1, 1, 15, 7, 51, 3, 193, 493, 133, 381, 2027, 227, 6635, 12931}},
+{1973, 15, 902, {1, 1, 1, 15, 7, 23, 99, 203, 323, 1007, 1465, 2887, 2215, 1787, 22069}},
+{1974, 15, 906, {1, 1, 5, 9, 29, 59, 77, 151, 509, 313, 415, 3977, 5431, 8019, 8571}},
+{1975, 15, 916, {1, 3, 1, 15, 19, 13, 57, 217, 87, 119, 25, 1149, 5667, 3765, 6959}},
+{1976, 15, 920, {1, 3, 7, 13, 19, 31, 119, 3, 457, 117, 905, 361, 1483, 12405, 27005}},
+{1977, 15, 949, {1, 3, 5, 11, 15, 35, 61, 77, 119, 51, 1753, 2765, 1091, 10573, 23595}},
+{1978, 15, 962, {1, 3, 3, 7, 1, 35, 17, 93, 197, 511, 1253, 3031, 2739, 15127, 15147}},
+{1979, 15, 964, {1, 3, 3, 1, 11, 55, 55, 107, 161, 75, 129, 2195, 2023, 4877, 25797}},
+{1980, 15, 967, {1, 3, 5, 7, 23, 19, 113, 167, 167, 271, 1303, 125, 5057, 1323, 5165}},
+{1981, 15, 981, {1, 1, 5, 3, 21, 31, 11, 119, 215, 483, 1535, 407, 6485, 15401, 30297}},
+{1982, 15, 982, {1, 3, 5, 9, 21, 5, 77, 95, 443, 247, 913, 605, 365, 7465, 19707}},
+{1983, 15, 985, {1, 3, 1, 7, 17, 59, 9, 35, 391, 767, 1493, 475, 4725, 7529, 31579}},
+{1984, 15, 991, {1, 3, 3, 7, 31, 21, 61, 31, 421, 179, 273, 771, 5745, 10575, 32765}},
+{1985, 15, 1007, {1, 3, 5, 15, 27, 13, 125, 55, 423, 1021, 497, 3521, 6903, 15111, 8285}},
+{1986, 15, 1016, {1, 1, 5, 9, 13, 31, 105, 93, 421, 709, 643, 1079, 1533, 9149, 10799}},
+{1987, 15, 1024, {1, 3, 1, 11, 19, 29, 53, 199, 319, 247, 655, 3039, 6411, 12267, 14245}},
+{1988, 15, 1051, {1, 3, 1, 11, 9, 57, 5, 91, 469, 149, 259, 329, 5433, 6941, 15093}},
+{1989, 15, 1060, {1, 3, 1, 5, 5, 51, 59, 25, 455, 367, 1623, 441, 3155, 11695, 20767}},
+{1990, 15, 1070, {1, 3, 7, 7, 11, 49, 113, 95, 91, 389, 605, 1973, 2051, 2315, 22229}},
+{1991, 15, 1072, {1, 3, 5, 3, 19, 11, 99, 135, 433, 781, 1473, 885, 1105, 3573, 3739}},
+{1992, 15, 1084, {1, 3, 1, 11, 3, 25, 9, 227, 433, 723, 317, 139, 6627, 8067, 28439}},
+{1993, 15, 1089, {1, 1, 1, 9, 9, 9, 5, 63, 241, 215, 1991, 2949, 3943, 775, 31511}},
+{1994, 15, 1095, {1, 1, 3, 7, 17, 49, 35, 167, 131, 107, 1295, 2465, 4577, 11147, 29833}},
+{1995, 15, 1114, {1, 1, 5, 1, 5, 25, 119, 129, 391, 743, 1069, 2957, 349, 6891, 13635}},
+{1996, 15, 1123, {1, 3, 1, 7, 9, 31, 63, 253, 215, 51, 1347, 2361, 3125, 13049, 28461}},
+{1997, 15, 1132, {1, 1, 7, 9, 3, 31, 21, 163, 255, 47, 259, 535, 5461, 3349, 30649}},
+{1998, 15, 1154, {1, 3, 3, 13, 17, 33, 87, 47, 243, 709, 929, 3943, 3107, 3421, 13721}},
+{1999, 15, 1156, {1, 3, 5, 11, 25, 61, 61, 173, 397, 735, 2005, 3355, 8121, 11593, 27697}},
+{2000, 15, 1163, {1, 3, 5, 15, 17, 43, 63, 231, 275, 311, 1277, 2669, 7307, 2099, 9755}},
+{2001, 15, 1171, {1, 3, 5, 3, 25, 43, 71, 191, 9, 121, 1873, 3747, 7491, 14055, 24293}},
+{2002, 15, 1202, {1, 3, 5, 13, 17, 35, 113, 113, 385, 941, 39, 2705, 1225, 5167, 1373}},
+{2003, 15, 1228, {1, 3, 5, 5, 7, 35, 19, 105, 487, 71, 139, 627, 4187, 3183, 713}},
+{2004, 15, 1239, {1, 1, 5, 13, 29, 29, 103, 5, 157, 869, 1675, 423, 6689, 10697, 5303}},
+{2005, 15, 1255, {1, 1, 5, 1, 29, 31, 61, 111, 473, 963, 685, 1483, 2383, 8109, 8495}},
+{2006, 15, 1256, {1, 1, 5, 3, 19, 13, 95, 113, 217, 59, 1353, 1647, 3617, 3271, 2321}},
+{2007, 15, 1262, {1, 3, 5, 7, 25, 35, 59, 131, 309, 445, 415, 93, 1453, 8789, 30201}},
+{2008, 15, 1270, {1, 1, 5, 1, 5, 43, 71, 241, 123, 189, 831, 3469, 8093, 6187, 32721}},
+{2009, 15, 1279, {1, 3, 7, 5, 25, 31, 123, 171, 319, 379, 889, 2365, 4881, 12225, 16609}},
+{2010, 15, 1308, {1, 3, 1, 11, 27, 43, 121, 63, 291, 591, 811, 1995, 4777, 2083, 31385}},
+{2011, 15, 1322, {1, 1, 5, 11, 27, 53, 85, 187, 461, 823, 703, 399, 6925, 11517, 28697}},
+{2012, 15, 1329, {1, 1, 3, 5, 13, 11, 33, 121, 93, 717, 1275, 3877, 4247, 5845, 26909}},
+{2013, 15, 1330, {1, 3, 1, 9, 7, 5, 47, 199, 367, 561, 185, 2855, 5997, 2699, 7581}},
+{2014, 15, 1336, {1, 1, 5, 9, 23, 11, 71, 201, 61, 729, 1011, 3529, 663, 1413, 25675}},
+{2015, 15, 1341, {1, 3, 7, 13, 27, 21, 11, 127, 281, 487, 1217, 3129, 5541, 3129, 17783}},
+{2016, 15, 1347, {1, 1, 5, 9, 1, 29, 85, 193, 213, 743, 1473, 611, 391, 9405, 21137}},
+{2017, 15, 1349, {1, 3, 3, 3, 31, 63, 37, 147, 39, 351, 79, 3069, 2441, 8901, 8777}},
+{2018, 15, 1359, {1, 1, 7, 7, 25, 49, 55, 47, 441, 343, 1267, 1123, 5917, 14395, 10579}},
+{2019, 15, 1367, {1, 1, 7, 1, 13, 55, 55, 123, 103, 773, 125, 2145, 4743, 13347, 2589}},
+{2020, 15, 1368, {1, 3, 7, 3, 9, 33, 25, 183, 469, 213, 291, 75, 6725, 6847, 26745}},
+{2021, 15, 1390, {1, 3, 3, 7, 15, 43, 7, 79, 171, 21, 1767, 2537, 4285, 12007, 24039}},
+{2022, 15, 1413, {1, 3, 7, 13, 9, 61, 125, 23, 227, 879, 215, 1635, 2835, 883, 15939}},
+{2023, 15, 1414, {1, 1, 5, 13, 25, 45, 63, 43, 183, 829, 149, 989, 987, 3819, 12181}},
+{2024, 15, 1437, {1, 1, 3, 7, 19, 27, 35, 83, 135, 459, 785, 131, 2655, 3329, 3009}},
+{2025, 15, 1441, {1, 1, 7, 5, 11, 41, 9, 219, 475, 985, 1329, 3787, 1975, 4679, 8627}},
+{2026, 15, 1462, {1, 1, 7, 3, 1, 17, 91, 155, 3, 763, 1879, 233, 215, 2955, 25993}},
+{2027, 15, 1465, {1, 1, 1, 11, 25, 11, 23, 227, 453, 775, 1935, 3833, 4583, 269, 705}},
+{2028, 15, 1480, {1, 3, 3, 11, 7, 25, 105, 21, 449, 555, 1275, 3475, 5503, 15617, 813}},
+{2029, 15, 1486, {1, 3, 7, 13, 31, 37, 25, 255, 233, 663, 1155, 1563, 4775, 7449, 29949}},
+{2030, 15, 1504, {1, 1, 3, 1, 23, 51, 51, 137, 63, 809, 349, 2789, 6953, 10605, 18959}},
+{2031, 15, 1509, {1, 3, 3, 13, 21, 45, 15, 161, 393, 229, 437, 2967, 4019, 3893, 21305}},
+{2032, 15, 1514, {1, 1, 3, 7, 5, 11, 15, 211, 287, 131, 1847, 2569, 7881, 15669, 31037}},
+{2033, 15, 1522, {1, 3, 3, 15, 27, 19, 85, 251, 221, 639, 665, 3729, 5771, 7873, 28005}},
+{2034, 15, 1528, {1, 3, 7, 15, 15, 47, 93, 215, 343, 85, 1401, 1375, 2949, 13661, 25453}},
+{2035, 15, 1552, {1, 1, 1, 9, 7, 51, 53, 217, 471, 389, 551, 1141, 1767, 2237, 17797}},
+{2036, 15, 1555, {1, 1, 7, 9, 3, 29, 65, 29, 223, 591, 1719, 1049, 7643, 3853, 29867}},
+{2037, 15, 1571, {1, 1, 1, 11, 13, 41, 85, 29, 451, 387, 1783, 3733, 8033, 4711, 31643}},
+{2038, 15, 1578, {1, 3, 1, 11, 11, 57, 75, 153, 7, 373, 2011, 271, 469, 3267, 18969}},
+{2039, 15, 1585, {1, 1, 5, 3, 19, 43, 7, 243, 385, 293, 923, 843, 4895, 469, 8421}},
+{2040, 15, 1588, {1, 3, 1, 15, 29, 47, 17, 125, 471, 927, 349, 3859, 3059, 11483, 14791}},
+{2041, 15, 1603, {1, 3, 1, 11, 17, 17, 111, 109, 9, 213, 1313, 3903, 4411, 4329, 28277}},
+{2042, 15, 1609, {1, 3, 3, 15, 1, 55, 47, 69, 143, 789, 1149, 3833, 5053, 6949, 10569}},
+{2043, 15, 1617, {1, 3, 5, 7, 11, 15, 79, 83, 123, 937, 1115, 2775, 3041, 11869, 21167}},
+{2044, 15, 1620, {1, 3, 7, 13, 9, 47, 45, 221, 139, 923, 1661, 1379, 2485, 7233, 6035}},
+{2045, 15, 1629, {1, 1, 3, 3, 11, 55, 77, 3, 87, 693, 1991, 1145, 2783, 16207, 24569}},
+{2046, 15, 1636, {1, 1, 5, 11, 3, 35, 91, 9, 391, 927, 101, 1839, 3755, 10345, 16907}},
+{2047, 15, 1648, {1, 3, 5, 3, 5, 49, 79, 91, 205, 443, 1369, 197, 2537, 11219, 17765}},
+{2048, 15, 1667, {1, 1, 3, 15, 9, 7, 25, 25, 357, 247, 477, 421, 7679, 5987, 30079}},
+{2049, 15, 1669, {1, 1, 5, 3, 29, 5, 89, 117, 481, 491, 371, 389, 7101, 2253, 23617}},
+{2050, 15, 1682, {1, 1, 5, 13, 29, 59, 17, 181, 511, 291, 1991, 3499, 8177, 5559, 30045}},
+{2051, 15, 1697, {1, 3, 3, 11, 23, 31, 117, 217, 241, 115, 749, 945, 1897, 12253, 8473}},
+{2052, 15, 1704, {1, 1, 7, 15, 25, 47, 31, 1, 165, 311, 635, 3629, 1593, 8305, 30033}},
+{2053, 15, 1709, {1, 3, 5, 9, 3, 17, 101, 237, 379, 503, 49, 929, 1687, 3865, 26723}},
+{2054, 15, 1727, {1, 3, 5, 5, 15, 41, 1, 239, 53, 215, 1733, 827, 579, 4089, 6579}},
+{2055, 15, 1730, {1, 3, 1, 15, 15, 21, 35, 21, 403, 257, 1475, 2403, 4705, 11553, 203}},
+{2056, 15, 1732, {1, 3, 5, 11, 9, 53, 113, 9, 447, 511, 543, 3141, 7389, 11249, 431}},
+{2057, 15, 1741, {1, 3, 5, 9, 9, 11, 55, 93, 325, 411, 305, 2573, 6871, 12339, 6435}},
+{2058, 15, 1744, {1, 3, 3, 7, 31, 27, 21, 113, 99, 853, 365, 589, 3731, 10875, 12767}},
+{2059, 15, 1759, {1, 3, 1, 7, 15, 27, 31, 17, 275, 93, 1161, 2619, 1329, 7307, 587}},
+{2060, 15, 1765, {1, 3, 5, 9, 17, 47, 49, 237, 27, 193, 1237, 591, 5151, 5521, 31583}},
+{2061, 15, 1766, {1, 3, 5, 3, 13, 1, 27, 87, 43, 977, 305, 3293, 2475, 14571, 18321}},
+{2062, 15, 1778, {1, 1, 5, 7, 15, 13, 101, 1, 291, 807, 1711, 2277, 5573, 11051, 13133}},
+{2063, 15, 1780, {1, 3, 3, 1, 9, 3, 65, 81, 415, 733, 1527, 2747, 6069, 159, 7095}},
+{2064, 15, 1783, {1, 3, 3, 15, 27, 1, 71, 49, 231, 851, 2039, 613, 1899, 2537, 14511}},
+{2065, 15, 1797, {1, 1, 1, 11, 3, 41, 55, 23, 247, 1011, 581, 2363, 2745, 1337, 20931}},
+{2066, 15, 1807, {1, 1, 3, 11, 17, 61, 67, 255, 143, 357, 945, 3407, 5817, 4155, 23851}},
+{2067, 15, 1821, {1, 3, 5, 3, 23, 1, 75, 247, 265, 413, 1899, 2565, 6629, 15655, 16117}},
+{2068, 15, 1832, {1, 1, 1, 9, 11, 49, 11, 189, 223, 177, 1457, 1931, 163, 15905, 17297}},
+{2069, 15, 1835, {1, 3, 7, 13, 17, 1, 111, 189, 343, 961, 427, 2507, 2393, 8653, 6353}},
+{2070, 15, 1849, {1, 3, 7, 13, 23, 61, 59, 51, 313, 963, 791, 3681, 5637, 3965, 9263}},
+{2071, 15, 1850, {1, 3, 7, 7, 21, 53, 127, 141, 499, 859, 337, 2835, 3195, 4351, 32369}},
+{2072, 15, 1863, {1, 1, 7, 5, 1, 5, 53, 63, 497, 535, 35, 305, 4395, 9757, 13193}},
+{2073, 15, 1867, {1, 1, 5, 13, 13, 31, 59, 229, 211, 745, 1453, 3677, 3005, 7703, 23907}},
+{2074, 15, 1869, {1, 3, 5, 5, 7, 63, 17, 197, 493, 861, 499, 3015, 6349, 1815, 7437}},
+{2075, 15, 1872, {1, 1, 1, 13, 13, 37, 29, 189, 253, 1017, 321, 3145, 407, 7547, 17099}},
+{2076, 15, 1887, {1, 3, 3, 3, 23, 53, 69, 77, 175, 17, 1831, 841, 3851, 1295, 32107}},
+{2077, 15, 1888, {1, 3, 7, 13, 13, 39, 107, 237, 389, 729, 635, 3717, 3041, 3169, 14987}},
+{2078, 15, 1897, {1, 1, 3, 1, 25, 7, 69, 35, 495, 49, 659, 2783, 6051, 13875, 23927}},
+{2079, 15, 1906, {1, 3, 7, 5, 5, 25, 49, 7, 193, 493, 93, 657, 1515, 13975, 14155}},
+{2080, 15, 1917, {1, 3, 1, 1, 11, 15, 113, 45, 21, 595, 731, 3397, 4117, 9711, 16625}},
+{2081, 15, 1927, {1, 3, 3, 9, 19, 19, 59, 7, 105, 579, 599, 2859, 97, 14717, 15361}},
+{2082, 15, 1939, {1, 1, 1, 5, 27, 49, 113, 5, 367, 563, 1397, 2805, 3021, 3111, 20671}},
+{2083, 15, 1941, {1, 3, 3, 15, 27, 51, 99, 167, 109, 365, 1959, 1523, 6959, 14405, 18191}},
+{2084, 15, 1948, {1, 3, 1, 5, 21, 51, 125, 67, 123, 45, 1657, 51, 4825, 14081, 31049}},
+{2085, 15, 1970, {1, 1, 5, 7, 21, 59, 21, 249, 77, 793, 1687, 2561, 2241, 4321, 7477}},
+{2086, 15, 1979, {1, 1, 1, 7, 15, 35, 71, 29, 267, 611, 1813, 1823, 7039, 3299, 9919}},
+{2087, 15, 1982, {1, 3, 7, 11, 21, 59, 109, 213, 371, 785, 659, 1687, 4827, 6017, 19619}},
+{2088, 15, 2002, {1, 1, 3, 11, 27, 17, 1, 55, 367, 939, 333, 127, 5105, 2405, 28139}},
+{2089, 15, 2020, {1, 1, 7, 13, 5, 35, 59, 133, 509, 573, 625, 3857, 7935, 5279, 3727}},
+{2090, 15, 2024, {1, 1, 1, 7, 11, 47, 127, 157, 19, 403, 151, 1143, 7407, 8985, 32521}},
+{2091, 15, 2032, {1, 3, 1, 1, 5, 13, 105, 123, 63, 139, 1569, 1983, 563, 7175, 27705}},
+{2092, 15, 2053, {1, 1, 3, 13, 9, 35, 105, 227, 145, 21, 1369, 57, 393, 2921, 18511}},
+{2093, 15, 2060, {1, 3, 1, 7, 17, 61, 99, 187, 261, 281, 437, 2219, 5999, 1857, 18001}},
+{2094, 15, 2063, {1, 3, 3, 5, 1, 59, 67, 45, 451, 439, 2005, 3607, 3, 7167, 14227}},
+{2095, 15, 2066, {1, 3, 3, 3, 29, 19, 25, 251, 275, 733, 1749, 4021, 871, 3227, 13701}},
+{2096, 15, 2075, {1, 3, 3, 13, 27, 53, 57, 243, 491, 521, 1921, 1037, 5013, 5703, 15261}},
+{2097, 15, 2078, {1, 3, 1, 11, 13, 57, 1, 15, 123, 533, 785, 335, 1423, 14269, 3483}},
+{2098, 15, 2081, {1, 3, 7, 13, 15, 55, 5, 139, 385, 47, 1981, 1291, 7397, 12925, 29445}},
+{2099, 15, 2091, {1, 1, 7, 1, 23, 23, 59, 93, 117, 57, 63, 3047, 4849, 11637, 25311}},
+{2100, 15, 2096, {1, 1, 7, 13, 19, 37, 25, 203, 477, 447, 1345, 3485, 2099, 13347, 11621}},
+{2101, 15, 2102, {1, 1, 7, 3, 11, 23, 81, 17, 41, 735, 1149, 3253, 7665, 8291, 22293}},
+{2102, 15, 2106, {1, 1, 5, 3, 15, 9, 57, 167, 463, 493, 747, 1947, 6471, 1111, 31619}},
+{2103, 15, 2116, {1, 1, 5, 15, 7, 15, 107, 205, 325, 167, 1749, 927, 3589, 6127, 7617}},
+{2104, 15, 2120, {1, 1, 1, 13, 21, 25, 83, 147, 411, 399, 1423, 2279, 3661, 7591, 17429}},
+{2105, 15, 2125, {1, 1, 1, 9, 5, 17, 69, 205, 243, 647, 473, 1717, 1977, 10725, 2913}},
+{2106, 15, 2134, {1, 1, 3, 5, 5, 37, 103, 15, 485, 641, 1761, 3755, 6997, 10985, 11773}},
+{2107, 15, 2178, {1, 1, 5, 13, 9, 51, 87, 195, 97, 807, 1801, 961, 6341, 4307, 29105}},
+{2108, 15, 2180, {1, 3, 1, 13, 9, 35, 83, 61, 387, 817, 951, 3993, 7831, 8479, 23941}},
+{2109, 15, 2187, {1, 1, 7, 11, 19, 47, 75, 37, 91, 337, 953, 1169, 163, 2259, 24713}},
+{2110, 15, 2189, {1, 1, 1, 11, 13, 15, 83, 171, 159, 87, 619, 2973, 2653, 13725, 12499}},
+{2111, 15, 2190, {1, 3, 5, 3, 5, 63, 119, 25, 343, 269, 553, 2183, 959, 3825, 22189}},
+{2112, 15, 2208, {1, 1, 5, 15, 5, 37, 89, 109, 497, 1013, 265, 669, 1859, 2647, 3445}},
+{2113, 15, 2214, {1, 3, 3, 9, 21, 21, 15, 245, 107, 649, 367, 1601, 7279, 15783, 4943}},
+{2114, 15, 2237, {1, 3, 3, 15, 5, 41, 125, 113, 159, 161, 1191, 3491, 3531, 55, 20857}},
+{2115, 15, 2252, {1, 3, 5, 9, 21, 57, 21, 195, 99, 193, 1915, 2923, 6349, 15085, 24929}},
+{2116, 15, 2257, {1, 1, 1, 11, 31, 11, 73, 141, 361, 621, 1021, 2067, 5115, 12665, 26845}},
+{2117, 15, 2260, {1, 1, 1, 3, 29, 11, 43, 61, 209, 923, 1753, 1937, 843, 205, 8367}},
+{2118, 15, 2264, {1, 1, 1, 5, 15, 33, 119, 209, 215, 973, 1775, 815, 6693, 7957, 14517}},
+{2119, 15, 2270, {1, 1, 1, 5, 17, 57, 27, 147, 489, 59, 1439, 2279, 445, 11791, 19739}},
+{2120, 15, 2279, {1, 3, 1, 7, 11, 55, 1, 83, 305, 17, 1909, 405, 2325, 5293, 28559}},
+{2121, 15, 2288, {1, 3, 3, 7, 11, 27, 103, 157, 455, 1005, 2033, 3145, 1919, 15723, 25197}},
+{2122, 15, 2305, {1, 1, 5, 11, 15, 51, 37, 131, 503, 1007, 1795, 2421, 1335, 7413, 21741}},
+{2123, 15, 2312, {1, 1, 3, 1, 23, 63, 69, 83, 419, 283, 583, 123, 7725, 2243, 8403}},
+{2124, 15, 2317, {1, 1, 5, 5, 27, 45, 109, 17, 299, 65, 351, 947, 1165, 10723, 2053}},
+{2125, 15, 2323, {1, 1, 3, 3, 23, 61, 115, 253, 1, 931, 1481, 3187, 441, 14735, 27207}},
+{2126, 15, 2329, {1, 1, 5, 3, 25, 11, 83, 141, 359, 343, 901, 1629, 731, 12841, 14357}},
+{2127, 15, 2335, {1, 1, 3, 9, 7, 45, 97, 3, 299, 217, 663, 1527, 6379, 4527, 26147}},
+{2128, 15, 2342, {1, 1, 7, 9, 11, 53, 9, 203, 337, 713, 1517, 719, 4587, 11443, 26905}},
+{2129, 15, 2345, {1, 1, 7, 9, 11, 41, 125, 213, 237, 377, 361, 3231, 4223, 3263, 12655}},
+{2130, 15, 2365, {1, 3, 7, 7, 7, 33, 99, 19, 117, 273, 985, 107, 3831, 10135, 19423}},
+{2131, 15, 2371, {1, 1, 5, 15, 25, 41, 13, 125, 449, 169, 1149, 4021, 5663, 3077, 19163}},
+{2132, 15, 2378, {1, 3, 5, 9, 25, 57, 47, 103, 269, 51, 1805, 2503, 6687, 8065, 12045}},
+{2133, 15, 2385, {1, 3, 5, 7, 3, 35, 87, 225, 189, 229, 931, 3293, 1347, 1427, 3269}},
+{2134, 15, 2395, {1, 1, 1, 3, 5, 31, 61, 19, 247, 9, 1667, 343, 559, 2703, 3763}},
+{2135, 15, 2404, {1, 3, 5, 15, 31, 19, 57, 187, 109, 121, 1287, 2269, 659, 16235, 1273}},
+{2136, 15, 2414, {1, 1, 1, 3, 5, 47, 59, 243, 255, 97, 1959, 1723, 1347, 3019, 26989}},
+{2137, 15, 2426, {1, 3, 3, 15, 29, 35, 75, 67, 497, 731, 193, 3307, 3579, 12005, 7209}},
+{2138, 15, 2428, {1, 1, 5, 9, 13, 35, 79, 213, 51, 983, 1927, 1793, 5037, 5463, 965}},
+{2139, 15, 2441, {1, 1, 7, 11, 5, 41, 7, 83, 15, 411, 1775, 3515, 6755, 3249, 16425}},
+{2140, 15, 2456, {1, 3, 5, 1, 19, 61, 3, 19, 395, 819, 1331, 179, 5225, 5333, 3601}},
+{2141, 15, 2466, {1, 1, 3, 9, 7, 5, 87, 15, 387, 609, 1465, 277, 987, 8377, 903}},
+{2142, 15, 2468, {1, 1, 1, 3, 15, 11, 123, 107, 355, 333, 285, 1801, 6989, 1549, 25791}},
+{2143, 15, 2475, {1, 1, 7, 13, 27, 13, 73, 111, 481, 227, 1091, 365, 5713, 5087, 27217}},
+{2144, 15, 2489, {1, 3, 3, 15, 1, 55, 95, 213, 377, 405, 139, 1867, 2175, 4217, 28813}},
+{2145, 15, 2495, {1, 3, 5, 11, 21, 43, 109, 155, 181, 901, 1951, 507, 4389, 10815, 3141}},
+{2146, 15, 2497, {1, 1, 1, 15, 17, 11, 43, 215, 501, 19, 259, 3479, 6381, 6927, 31247}},
+{2147, 15, 2510, {1, 3, 5, 15, 19, 61, 75, 41, 391, 95, 865, 1441, 7993, 13979, 24663}},
+{2148, 15, 2512, {1, 3, 1, 3, 21, 15, 115, 213, 1, 645, 777, 1517, 2543, 11223, 3633}},
+{2149, 15, 2522, {1, 3, 5, 3, 9, 57, 39, 211, 407, 65, 1795, 2805, 2799, 8691, 1987}},
+{2150, 15, 2533, {1, 1, 3, 13, 17, 55, 47, 113, 29, 139, 1301, 3303, 1129, 13947, 29821}},
+{2151, 15, 2543, {1, 1, 3, 13, 5, 35, 97, 151, 477, 409, 1397, 3399, 4421, 15929, 6163}},
+{2152, 15, 2551, {1, 3, 1, 9, 21, 51, 99, 133, 149, 763, 623, 173, 4311, 11081, 1095}},
+{2153, 15, 2552, {1, 3, 7, 15, 13, 3, 99, 3, 195, 907, 1335, 1355, 7977, 5773, 32383}},
+{2154, 15, 2557, {1, 1, 3, 9, 17, 43, 43, 217, 475, 917, 1373, 1677, 4871, 9619, 16657}},
+{2155, 15, 2567, {1, 3, 3, 7, 31, 31, 55, 11, 73, 693, 25, 417, 1195, 6225, 32279}},
+{2156, 15, 2581, {1, 3, 5, 9, 21, 57, 127, 149, 79, 379, 1609, 2543, 6473, 16033, 27191}},
+{2157, 15, 2586, {1, 1, 5, 1, 13, 9, 81, 153, 297, 789, 1749, 2819, 3961, 11231, 24927}},
+{2158, 15, 2597, {1, 3, 5, 3, 23, 61, 45, 43, 43, 133, 1481, 1543, 2991, 13739, 10287}},
+{2159, 15, 2601, {1, 1, 3, 9, 25, 43, 31, 177, 337, 193, 1083, 1, 991, 9725, 8379}},
+{2160, 15, 2622, {1, 3, 5, 11, 13, 33, 65, 83, 421, 149, 409, 2443, 7423, 8847, 29599}},
+{2161, 15, 2633, {1, 1, 5, 11, 11, 1, 23, 225, 77, 585, 1505, 2525, 739, 10915, 25733}},
+{2162, 15, 2636, {1, 3, 7, 13, 7, 55, 3, 223, 415, 521, 1865, 2349, 5663, 7455, 16569}},
+{2163, 15, 2642, {1, 1, 7, 13, 1, 45, 121, 49, 463, 99, 1061, 2559, 5087, 13389, 11035}},
+{2164, 15, 2644, {1, 3, 7, 11, 31, 51, 35, 235, 385, 1023, 1771, 2013, 5437, 4877, 22119}},
+{2165, 15, 2653, {1, 3, 3, 11, 21, 3, 11, 119, 81, 737, 1093, 2377, 4055, 1121, 15767}},
+{2166, 15, 2667, {1, 1, 5, 13, 9, 3, 83, 217, 387, 249, 1047, 1861, 4103, 15367, 24545}},
+{2167, 15, 2669, {1, 3, 3, 1, 5, 37, 43, 183, 383, 463, 937, 1165, 1481, 959, 17047}},
+{2168, 15, 2672, {1, 1, 3, 5, 7, 43, 127, 243, 81, 1021, 165, 753, 4711, 12965, 22049}},
+{2169, 15, 2675, {1, 1, 5, 5, 3, 61, 65, 53, 425, 89, 5, 1467, 1395, 9579, 8961}},
+{2170, 15, 2682, {1, 3, 7, 13, 11, 35, 123, 21, 83, 689, 667, 1203, 5959, 15697, 26885}},
+{2171, 15, 2687, {1, 1, 5, 13, 9, 49, 41, 101, 291, 339, 1067, 657, 4453, 1137, 21131}},
+{2172, 15, 2691, {1, 3, 3, 3, 17, 61, 11, 213, 27, 805, 1691, 1057, 6011, 11941, 18883}},
+{2173, 15, 2698, {1, 3, 1, 7, 3, 51, 5, 63, 121, 3, 245, 2631, 3737, 16121, 26803}},
+{2174, 15, 2708, {1, 3, 1, 1, 23, 51, 79, 19, 161, 107, 609, 3489, 3389, 4035, 2427}},
+{2175, 15, 2712, {1, 3, 1, 1, 17, 11, 101, 101, 373, 63, 1641, 285, 1333, 165, 14025}},
+{2176, 15, 2718, {1, 1, 1, 5, 1, 51, 83, 137, 45, 1019, 821, 867, 6055, 10443, 9857}},
+{2177, 15, 2722, {1, 3, 1, 5, 17, 23, 25, 181, 429, 495, 317, 3219, 5963, 13945, 9969}},
+{2178, 15, 2736, {1, 3, 7, 3, 3, 15, 123, 191, 369, 177, 1697, 2113, 3889, 5201, 21839}},
+{2179, 15, 2741, {1, 3, 1, 11, 21, 39, 51, 139, 271, 605, 1007, 3513, 3365, 3781, 6799}},
+{2180, 15, 2756, {1, 1, 7, 5, 13, 19, 47, 165, 249, 405, 255, 1295, 4513, 14395, 5587}},
+{2181, 15, 2765, {1, 1, 3, 7, 5, 17, 99, 1, 393, 31, 621, 797, 6113, 16003, 32043}},
+{2182, 15, 2774, {1, 3, 5, 13, 11, 21, 65, 81, 147, 443, 775, 3671, 7029, 11749, 3339}},
+{2183, 15, 2799, {1, 3, 7, 1, 23, 33, 99, 177, 161, 577, 1729, 617, 3465, 11787, 17577}},
+{2184, 15, 2804, {1, 1, 5, 7, 15, 15, 53, 193, 97, 255, 1223, 545, 5153, 873, 24525}},
+{2185, 15, 2825, {1, 3, 5, 1, 7, 57, 47, 121, 383, 835, 1709, 2363, 4731, 12163, 7001}},
+{2186, 15, 2826, {1, 3, 3, 11, 19, 33, 63, 99, 387, 95, 783, 1009, 6373, 4021, 7685}},
+{2187, 15, 2840, {1, 1, 1, 15, 25, 33, 73, 135, 335, 785, 935, 1927, 5847, 10501, 7719}},
+{2188, 15, 2843, {1, 1, 5, 3, 27, 45, 71, 215, 489, 157, 1189, 2577, 6901, 10219, 3025}},
+{2189, 15, 2846, {1, 1, 7, 7, 21, 3, 97, 225, 101, 159, 293, 2789, 7955, 14829, 1209}},
+{2190, 15, 2849, {1, 3, 1, 5, 23, 41, 83, 63, 361, 195, 1707, 2081, 5363, 6327, 179}},
+{2191, 15, 2867, {1, 1, 3, 1, 21, 51, 59, 67, 175, 363, 825, 2971, 3321, 8837, 11805}},
+{2192, 15, 2876, {1, 3, 7, 1, 19, 3, 15, 21, 429, 675, 1589, 2615, 2575, 1537, 7139}},
+{2193, 15, 2891, {1, 3, 3, 5, 21, 29, 17, 115, 345, 397, 523, 1699, 7043, 11173, 3023}},
+{2194, 15, 2902, {1, 1, 5, 7, 19, 63, 99, 175, 91, 433, 153, 3749, 517, 13667, 7423}},
+{2195, 15, 2912, {1, 3, 7, 3, 25, 23, 53, 149, 65, 551, 1231, 365, 6637, 15137, 16319}},
+{2196, 15, 2917, {1, 3, 7, 13, 5, 45, 11, 151, 323, 31, 1749, 409, 6753, 10503, 14991}},
+{2197, 15, 2927, {1, 3, 7, 3, 5, 21, 29, 117, 321, 341, 1811, 3619, 4337, 12255, 8629}},
+{2198, 15, 2941, {1, 3, 7, 3, 7, 3, 5, 221, 407, 671, 1763, 3669, 2353, 8175, 23489}},
+{2199, 15, 2965, {1, 1, 3, 7, 11, 55, 53, 185, 247, 35, 1823, 513, 1379, 11827, 20069}},
+{2200, 15, 2970, {1, 3, 3, 5, 29, 51, 73, 191, 185, 961, 881, 2019, 5651, 1019, 15587}},
+{2201, 15, 2982, {1, 3, 7, 13, 7, 55, 59, 5, 417, 829, 453, 2339, 587, 13283, 797}},
+{2202, 15, 2993, {1, 3, 7, 3, 11, 41, 75, 85, 65, 149, 1583, 529, 2707, 11479, 7109}},
+{2203, 15, 3018, {1, 3, 7, 9, 13, 57, 37, 243, 91, 613, 665, 171, 1631, 13737, 2377}},
+{2204, 15, 3023, {1, 1, 3, 7, 5, 43, 97, 53, 477, 793, 999, 3647, 2555, 7371, 19295}},
+{2205, 15, 3025, {1, 1, 7, 1, 1, 9, 99, 253, 317, 817, 1559, 2081, 2529, 14611, 15997}},
+{2206, 15, 3026, {1, 3, 3, 1, 5, 41, 57, 121, 387, 441, 709, 1511, 7045, 8409, 13297}},
+{2207, 15, 3028, {1, 1, 1, 13, 29, 57, 63, 183, 327, 473, 1943, 213, 3973, 16289, 2739}},
+{2208, 15, 3032, {1, 3, 7, 9, 25, 15, 75, 185, 335, 881, 1041, 3339, 4471, 6823, 21121}},
+{2209, 15, 3053, {1, 3, 3, 13, 23, 3, 57, 117, 511, 927, 771, 3229, 949, 15487, 11963}},
+{2210, 15, 3054, {1, 1, 3, 7, 27, 19, 55, 207, 331, 705, 1945, 797, 7125, 10493, 16585}},
+{2211, 15, 3065, {1, 3, 1, 1, 29, 7, 91, 93, 459, 93, 1501, 1927, 6415, 16255, 9823}},
+{2212, 15, 3071, {1, 1, 5, 5, 31, 11, 97, 179, 505, 807, 877, 4003, 4377, 8851, 4239}},
+{2213, 15, 3076, {1, 1, 3, 5, 11, 25, 17, 131, 23, 95, 311, 1429, 2029, 13091, 23739}},
+{2214, 15, 3088, {1, 1, 3, 11, 13, 27, 33, 127, 481, 117, 1127, 1619, 6493, 8507, 6615}},
+{2215, 15, 3107, {1, 3, 1, 13, 19, 27, 89, 101, 27, 235, 1579, 1701, 4421, 16037, 16239}},
+{2216, 15, 3146, {1, 3, 1, 15, 1, 15, 3, 117, 317, 475, 1691, 2423, 5519, 1703, 2969}},
+{2217, 15, 3148, {1, 1, 3, 1, 13, 15, 19, 37, 237, 467, 1321, 453, 2169, 13313, 31499}},
+{2218, 15, 3159, {1, 1, 3, 15, 29, 55, 31, 199, 85, 285, 967, 367, 3941, 151, 20587}},
+{2219, 15, 3165, {1, 3, 7, 15, 7, 13, 31, 35, 117, 543, 1179, 3441, 3039, 11225, 30229}},
+{2220, 15, 3170, {1, 1, 3, 15, 3, 43, 1, 63, 353, 395, 1775, 3493, 5175, 13193, 25343}},
+{2221, 15, 3179, {1, 3, 3, 15, 17, 25, 57, 205, 411, 83, 1877, 2093, 5599, 12115, 8751}},
+{2222, 15, 3182, {1, 1, 1, 11, 15, 9, 115, 99, 85, 887, 987, 4015, 7077, 3739, 21505}},
+{2223, 15, 3205, {1, 3, 1, 11, 25, 39, 127, 37, 329, 273, 1531, 3211, 7115, 15501, 26575}},
+{2224, 15, 3212, {1, 1, 5, 13, 15, 3, 3, 101, 431, 645, 493, 723, 8083, 1423, 14879}},
+{2225, 15, 3218, {1, 3, 3, 5, 31, 35, 37, 131, 259, 849, 325, 3403, 3627, 3295, 30885}},
+{2226, 15, 3220, {1, 3, 7, 1, 9, 3, 31, 201, 379, 907, 1005, 3333, 7457, 2533, 30357}},
+{2227, 15, 3223, {1, 3, 1, 9, 7, 7, 95, 103, 121, 157, 895, 2683, 5839, 12403, 14327}},
+{2228, 15, 3227, {1, 3, 7, 3, 13, 5, 55, 233, 3, 855, 859, 1115, 3883, 8041, 3353}},
+{2229, 15, 3233, {1, 1, 5, 9, 3, 55, 99, 79, 263, 831, 1579, 205, 5673, 1999, 14879}},
+{2230, 15, 3234, {1, 3, 1, 5, 17, 25, 85, 19, 189, 141, 877, 667, 4461, 11915, 23247}},
+{2231, 15, 3254, {1, 1, 5, 5, 1, 35, 15, 219, 469, 725, 1793, 3683, 3661, 15627, 30197}},
+{2232, 15, 3263, {1, 1, 7, 5, 27, 3, 41, 153, 431, 487, 759, 1345, 6735, 9937, 26277}},
+{2233, 15, 3268, {1, 1, 1, 11, 11, 13, 41, 121, 265, 465, 1447, 5, 3407, 1907, 10037}},
+{2234, 15, 3272, {1, 3, 5, 9, 15, 63, 5, 7, 407, 83, 365, 3687, 7721, 6973, 16967}},
+{2235, 15, 3277, {1, 1, 7, 7, 5, 41, 75, 155, 417, 565, 1199, 1111, 2823, 10703, 22561}},
+{2236, 15, 3292, {1, 3, 7, 5, 7, 43, 39, 185, 105, 327, 1977, 1137, 3261, 10583, 11661}},
+{2237, 15, 3295, {1, 3, 7, 7, 19, 19, 103, 137, 169, 273, 1357, 3413, 7647, 10531, 32489}},
+{2238, 15, 3296, {1, 1, 3, 13, 13, 3, 81, 23, 161, 295, 735, 2031, 1027, 15513, 20165}},
+{2239, 15, 3301, {1, 1, 5, 1, 15, 1, 91, 35, 375, 207, 1417, 1115, 2237, 11749, 8509}},
+{2240, 15, 3306, {1, 3, 7, 3, 25, 51, 49, 219, 195, 417, 1523, 3953, 5739, 7499, 27071}},
+{2241, 15, 3313, {1, 1, 3, 11, 23, 29, 19, 81, 421, 633, 513, 547, 7545, 29, 11909}},
+{2242, 15, 3346, {1, 1, 1, 7, 13, 61, 33, 243, 221, 231, 111, 879, 2861, 1795, 27531}},
+{2243, 15, 3367, {1, 3, 7, 3, 19, 21, 1, 141, 159, 605, 969, 3013, 6583, 2447, 19919}},
+{2244, 15, 3371, {1, 3, 7, 3, 31, 9, 91, 83, 29, 873, 929, 43, 2253, 12539, 23951}},
+{2245, 15, 3373, {1, 1, 5, 3, 31, 15, 87, 105, 319, 973, 1489, 3417, 3377, 15749, 2357}},
+{2246, 15, 3374, {1, 1, 3, 15, 7, 23, 3, 81, 383, 419, 713, 997, 6873, 593, 285}},
+{2247, 15, 3376, {1, 3, 3, 1, 29, 13, 29, 101, 441, 693, 2039, 2951, 5921, 12129, 12053}},
+{2248, 15, 3382, {1, 1, 3, 15, 9, 29, 97, 117, 421, 433, 1017, 125, 3607, 9415, 6843}},
+{2249, 15, 3388, {1, 3, 5, 9, 11, 13, 75, 155, 413, 75, 109, 1599, 6161, 16115, 12621}},
+{2250, 15, 3391, {1, 3, 3, 3, 11, 13, 49, 225, 401, 599, 1815, 1643, 7853, 13305, 25195}},
+{2251, 15, 3403, {1, 3, 7, 5, 15, 11, 27, 95, 387, 931, 549, 2179, 3397, 15883, 16563}},
+{2252, 15, 3406, {1, 1, 7, 3, 9, 39, 121, 5, 453, 27, 1747, 657, 2593, 1289, 12577}},
+{2253, 15, 3413, {1, 3, 7, 5, 25, 25, 109, 49, 185, 985, 631, 803, 3865, 8955, 17901}},
+{2254, 15, 3420, {1, 1, 3, 13, 3, 59, 47, 49, 139, 275, 1471, 2995, 5593, 14011, 18741}},
+{2255, 15, 3427, {1, 1, 5, 15, 29, 11, 97, 225, 245, 291, 1873, 2365, 767, 3419, 14943}},
+{2256, 15, 3441, {1, 3, 3, 5, 15, 17, 19, 209, 359, 891, 1375, 2003, 7247, 5299, 28841}},
+{2257, 15, 3453, {1, 3, 7, 7, 9, 55, 105, 35, 77, 47, 1023, 13, 2901, 847, 10265}},
+{2258, 15, 3464, {1, 3, 7, 7, 7, 5, 65, 233, 141, 277, 1333, 2357, 443, 7257, 21979}},
+{2259, 15, 3469, {1, 3, 5, 11, 13, 63, 41, 87, 193, 737, 1085, 2317, 7869, 10149, 12163}},
+{2260, 15, 3481, {1, 3, 1, 1, 7, 57, 75, 235, 461, 857, 155, 2679, 5925, 2565, 10881}},
+{2261, 15, 3488, {1, 1, 7, 15, 13, 41, 63, 135, 433, 387, 1943, 2249, 5469, 11679, 28661}},
+{2262, 15, 3497, {1, 3, 3, 13, 5, 3, 103, 161, 367, 649, 789, 1179, 4163, 5699, 16787}},
+{2263, 15, 3503, {1, 3, 7, 7, 31, 13, 45, 141, 113, 769, 1035, 457, 6709, 14989, 27311}},
+{2264, 15, 3511, {1, 1, 3, 1, 1, 43, 119, 145, 111, 593, 1139, 417, 637, 4437, 17285}},
+{2265, 15, 3515, {1, 3, 5, 9, 9, 33, 19, 99, 201, 685, 1793, 2621, 6857, 8769, 5623}},
+{2266, 15, 3525, {1, 3, 5, 5, 23, 43, 27, 189, 325, 415, 215, 1253, 3599, 1215, 10093}},
+{2267, 15, 3529, {1, 1, 3, 13, 11, 35, 113, 173, 503, 19, 1459, 503, 5363, 3967, 13945}},
+{2268, 15, 3547, {1, 1, 5, 11, 31, 49, 13, 173, 199, 623, 1231, 2495, 6581, 7957, 25321}},
+{2269, 15, 3550, {1, 3, 1, 9, 23, 3, 79, 149, 505, 937, 1839, 3701, 1673, 8589, 8031}},
+{2270, 15, 3573, {1, 3, 3, 5, 21, 27, 107, 11, 505, 407, 177, 3593, 4729, 12773, 11685}},
+{2271, 15, 3583, {1, 3, 1, 11, 29, 49, 79, 53, 61, 895, 2035, 563, 5613, 6065, 6207}},
+{2272, 15, 3594, {1, 1, 3, 7, 1, 53, 3, 215, 99, 865, 1749, 3533, 4305, 1243, 28463}},
+{2273, 15, 3607, {1, 1, 1, 13, 31, 59, 115, 53, 403, 909, 847, 103, 4967, 10623, 30073}},
+{2274, 15, 3613, {1, 1, 7, 5, 27, 1, 119, 83, 457, 81, 395, 811, 6221, 14337, 541}},
+{2275, 15, 3624, {1, 1, 5, 5, 5, 53, 83, 117, 269, 327, 875, 101, 3343, 715, 26339}},
+{2276, 15, 3630, {1, 1, 1, 11, 31, 39, 121, 147, 305, 383, 1211, 1897, 7647, 11687, 18907}},
+{2277, 15, 3635, {1, 3, 3, 15, 23, 53, 17, 85, 395, 503, 61, 1745, 4713, 4641, 13787}},
+{2278, 15, 3642, {1, 1, 7, 7, 27, 1, 105, 29, 287, 37, 959, 975, 4427, 4705, 10175}},
+{2279, 15, 3644, {1, 3, 3, 5, 7, 63, 57, 199, 27, 107, 1095, 3923, 6969, 713, 11619}},
+{2280, 15, 3650, {1, 3, 5, 1, 5, 49, 85, 45, 449, 45, 49, 3419, 1109, 455, 15917}},
+{2281, 15, 3679, {1, 1, 1, 5, 13, 15, 39, 27, 467, 85, 1537, 3055, 1977, 8829, 25231}},
+{2282, 15, 3690, {1, 1, 1, 15, 1, 47, 23, 121, 147, 547, 1865, 1491, 779, 3515, 12667}},
+{2283, 15, 3698, {1, 3, 3, 1, 19, 5, 77, 101, 1, 721, 1149, 2967, 4925, 11889, 16655}},
+{2284, 15, 3704, {1, 1, 1, 7, 1, 35, 95, 239, 127, 855, 1031, 455, 7631, 6039, 21983}},
+{2285, 15, 3707, {1, 3, 7, 9, 23, 43, 75, 105, 335, 223, 1825, 3217, 413, 7473, 30005}},
+{2286, 15, 3713, {1, 1, 5, 15, 29, 9, 43, 145, 223, 523, 511, 323, 5955, 11141, 22533}},
+{2287, 15, 3754, {1, 1, 3, 1, 13, 61, 93, 133, 461, 233, 383, 693, 7347, 3165, 27493}},
+{2288, 15, 3756, {1, 3, 7, 1, 13, 45, 113, 207, 53, 1007, 815, 1145, 2937, 289, 22195}},
+{2289, 15, 3761, {1, 3, 5, 5, 19, 17, 113, 89, 19, 1023, 1625, 3277, 697, 5187, 15433}},
+{2290, 15, 3776, {1, 1, 3, 13, 21, 15, 15, 197, 409, 391, 1993, 2475, 3189, 4431, 29585}},
+{2291, 15, 3781, {1, 1, 5, 5, 31, 7, 111, 231, 187, 543, 45, 3863, 3811, 4573, 4437}},
+{2292, 15, 3788, {1, 3, 3, 7, 19, 7, 123, 23, 79, 513, 189, 3663, 1291, 13257, 8949}},
+{2293, 15, 3791, {1, 1, 5, 13, 3, 53, 109, 133, 157, 223, 651, 3059, 6055, 14455, 26903}},
+{2294, 15, 3794, {1, 1, 7, 1, 23, 63, 59, 229, 17, 199, 643, 637, 7631, 13647, 7399}},
+{2295, 15, 3806, {1, 1, 1, 3, 1, 51, 119, 67, 335, 543, 913, 3565, 4795, 13405, 7463}},
+{2296, 15, 3841, {1, 1, 5, 3, 31, 5, 91, 97, 23, 223, 837, 1353, 1929, 12043, 10039}},
+{2297, 15, 3848, {1, 3, 5, 7, 19, 3, 79, 171, 301, 687, 1545, 355, 4709, 12965, 16797}},
+{2298, 15, 3851, {1, 3, 5, 11, 11, 49, 111, 123, 251, 569, 1605, 401, 5439, 13519, 8847}},
+{2299, 15, 3856, {1, 3, 1, 3, 3, 53, 7, 55, 369, 633, 181, 4037, 2993, 15815, 8661}},
+{2300, 15, 3868, {1, 1, 1, 13, 31, 29, 75, 167, 279, 597, 539, 1791, 8013, 4387, 9717}},
+{2301, 15, 3875, {1, 1, 5, 7, 17, 15, 99, 183, 211, 49, 225, 3143, 4537, 13141, 23375}},
+{2302, 15, 3882, {1, 1, 3, 5, 3, 59, 25, 149, 467, 69, 1939, 1007, 2765, 4693, 29815}},
+{2303, 15, 3884, {1, 3, 1, 3, 17, 33, 119, 189, 447, 251, 879, 177, 5395, 13487, 9587}},
+{2304, 15, 3889, {1, 3, 3, 7, 15, 31, 115, 3, 21, 817, 475, 1849, 6041, 12541, 18701}},
+{2305, 15, 3892, {1, 1, 5, 13, 31, 33, 7, 115, 361, 587, 1919, 1007, 3537, 7493, 19357}},
+{2306, 15, 3919, {1, 3, 7, 13, 23, 35, 15, 111, 123, 633, 805, 1983, 2109, 14477, 4985}},
+{2307, 15, 3921, {1, 3, 3, 11, 25, 13, 11, 205, 97, 893, 927, 1291, 4007, 13593, 29693}},
+{2308, 15, 3958, {1, 3, 5, 15, 9, 13, 121, 89, 215, 823, 1389, 1581, 8095, 4707, 16061}},
+{2309, 15, 3961, {1, 3, 1, 3, 23, 39, 83, 23, 47, 941, 1419, 2389, 5699, 7519, 5829}},
+{2310, 15, 3973, {1, 3, 1, 9, 23, 43, 79, 237, 93, 203, 695, 225, 5645, 3591, 16775}},
+{2311, 15, 3977, {1, 3, 5, 3, 15, 19, 89, 129, 375, 125, 225, 1323, 2267, 11607, 17937}},
+{2312, 15, 3985, {1, 3, 3, 1, 31, 37, 93, 133, 377, 959, 707, 621, 7179, 15493, 30287}},
+{2313, 15, 3991, {1, 3, 7, 13, 5, 13, 15, 1, 37, 525, 1641, 2829, 6139, 4069, 19187}},
+{2314, 15, 4004, {1, 3, 3, 9, 17, 3, 67, 97, 375, 845, 403, 973, 3919, 2275, 31627}},
+{2315, 15, 4007, {1, 1, 3, 3, 25, 7, 91, 67, 271, 465, 481, 3477, 5229, 241, 8411}},
+{2316, 15, 4019, {1, 1, 1, 11, 1, 41, 109, 115, 75, 787, 309, 2887, 179, 9073, 13895}},
+{2317, 15, 4045, {1, 3, 3, 15, 11, 31, 113, 91, 303, 907, 1933, 2167, 7799, 11821, 20659}},
+{2318, 15, 4054, {1, 3, 1, 15, 27, 17, 21, 41, 99, 137, 1397, 929, 5819, 11977, 6201}},
+{2319, 15, 4057, {1, 1, 7, 13, 21, 29, 47, 239, 287, 305, 899, 2711, 1723, 3315, 199}},
+{2320, 15, 4058, {1, 1, 1, 3, 31, 21, 101, 149, 107, 761, 1197, 1703, 4803, 8411, 10649}},
+{2321, 15, 4070, {1, 1, 5, 15, 23, 45, 109, 221, 85, 619, 169, 1013, 3305, 9451, 26189}},
+{2322, 15, 4101, {1, 3, 5, 13, 7, 57, 19, 153, 231, 627, 565, 1595, 6309, 5037, 25505}},
+{2323, 15, 4113, {1, 1, 7, 7, 1, 45, 43, 79, 271, 59, 219, 2255, 1785, 7919, 24061}},
+{2324, 15, 4114, {1, 3, 7, 5, 31, 57, 57, 231, 33, 227, 531, 679, 1141, 85, 19777}},
+{2325, 15, 4119, {1, 1, 3, 15, 11, 59, 59, 169, 459, 693, 907, 1191, 3783, 12809, 6263}},
+{2326, 15, 4129, {1, 1, 7, 13, 19, 21, 105, 65, 267, 141, 1547, 781, 7295, 13565, 17775}},
+{2327, 15, 4141, {1, 3, 3, 5, 31, 63, 97, 155, 477, 661, 329, 797, 2539, 4061, 10537}},
+{2328, 15, 4142, {1, 3, 3, 7, 11, 17, 119, 89, 71, 103, 1043, 413, 6035, 12829, 11559}},
+{2329, 15, 4147, {1, 3, 1, 9, 5, 19, 53, 185, 103, 629, 2015, 1257, 5163, 10581, 13449}},
+{2330, 15, 4149, {1, 1, 1, 5, 23, 35, 25, 129, 179, 959, 677, 2249, 6315, 12151, 3459}},
+{2331, 15, 4150, {1, 1, 1, 1, 9, 47, 93, 45, 35, 45, 265, 2065, 6225, 25, 27135}},
+{2332, 15, 4164, {1, 3, 1, 11, 21, 53, 127, 163, 311, 667, 597, 1561, 4515, 23, 9551}},
+{2333, 15, 4168, {1, 1, 3, 3, 7, 47, 105, 211, 241, 95, 389, 899, 6001, 8129, 19889}},
+{2334, 15, 4186, {1, 1, 3, 15, 29, 45, 9, 27, 483, 799, 269, 1811, 4493, 7109, 22149}},
+{2335, 15, 4198, {1, 1, 3, 3, 29, 5, 57, 205, 187, 615, 1677, 3987, 4577, 8799, 16311}},
+{2336, 15, 4207, {1, 1, 5, 3, 15, 5, 91, 101, 319, 445, 1261, 2039, 4071, 8249, 11611}},
+{2337, 15, 4221, {1, 3, 7, 11, 19, 17, 1, 185, 153, 579, 1001, 2031, 2295, 16335, 24771}},
+{2338, 15, 4225, {1, 3, 3, 15, 13, 45, 93, 185, 319, 667, 1085, 93, 577, 11551, 11355}},
+{2339, 15, 4231, {1, 1, 7, 13, 3, 61, 45, 191, 51, 981, 1151, 2715, 2503, 4147, 4587}},
+{2340, 15, 4238, {1, 1, 3, 3, 27, 17, 71, 141, 57, 981, 1033, 333, 4639, 15885, 1039}},
+{2341, 15, 4243, {1, 3, 3, 15, 21, 55, 33, 123, 357, 893, 829, 4045, 5027, 11727, 13357}},
+{2342, 15, 4249, {1, 1, 1, 9, 31, 47, 27, 223, 311, 205, 179, 3411, 4019, 10997, 28115}},
+{2343, 15, 4250, {1, 3, 5, 1, 3, 39, 15, 7, 501, 641, 735, 295, 2005, 12641, 19779}},
+{2344, 15, 4252, {1, 3, 3, 1, 15, 1, 75, 243, 329, 267, 1323, 2285, 5389, 11881, 15737}},
+{2345, 15, 4259, {1, 1, 3, 3, 13, 17, 101, 99, 209, 939, 1147, 3221, 5159, 3435, 183}},
+{2346, 15, 4279, {1, 1, 1, 1, 27, 43, 29, 179, 179, 659, 807, 313, 4165, 963, 11317}},
+{2347, 15, 4285, {1, 1, 3, 13, 9, 51, 125, 245, 381, 555, 1383, 3887, 2045, 12829, 12029}},
+{2348, 15, 4288, {1, 1, 1, 9, 29, 39, 55, 127, 235, 617, 1553, 3133, 7735, 14725, 16733}},
+{2349, 15, 4303, {1, 1, 3, 5, 15, 9, 47, 217, 89, 987, 1083, 1045, 4745, 12915, 13719}},
+{2350, 15, 4312, {1, 3, 3, 7, 23, 3, 35, 79, 45, 435, 1549, 2645, 2831, 10359, 10041}},
+{2351, 15, 4322, {1, 1, 7, 15, 31, 61, 25, 223, 511, 319, 487, 1677, 739, 7097, 18417}},
+{2352, 15, 4327, {1, 1, 7, 5, 19, 21, 123, 237, 299, 367, 1341, 1449, 2949, 8629, 11051}},
+{2353, 15, 4336, {1, 3, 7, 7, 31, 53, 125, 33, 257, 719, 1297, 895, 5095, 10237, 12309}},
+{2354, 15, 4359, {1, 3, 1, 5, 31, 59, 73, 211, 97, 209, 1289, 4033, 6143, 14275, 7997}},
+{2355, 15, 4384, {1, 1, 5, 7, 31, 5, 75, 105, 389, 985, 9, 4033, 1185, 7821, 19083}},
+{2356, 15, 4387, {1, 1, 1, 15, 11, 39, 73, 253, 275, 813, 25, 3441, 2493, 5873, 3739}},
+{2357, 15, 4401, {1, 3, 7, 1, 31, 19, 119, 5, 109, 397, 1329, 3347, 5941, 12449, 2533}},
+{2358, 15, 4407, {1, 1, 1, 1, 5, 59, 61, 175, 435, 985, 65, 3781, 5425, 15073, 16361}},
+{2359, 15, 4428, {1, 3, 5, 7, 31, 13, 53, 87, 69, 305, 1455, 273, 2197, 4277, 24423}},
+{2360, 15, 4436, {1, 3, 3, 15, 13, 13, 91, 171, 71, 583, 15, 3599, 6801, 10041, 26097}},
+{2361, 15, 4450, {1, 3, 3, 5, 5, 13, 91, 225, 63, 69, 1795, 341, 461, 5015, 9471}},
+{2362, 15, 4452, {1, 3, 7, 5, 21, 55, 109, 39, 459, 925, 229, 2855, 5807, 2117, 31739}},
+{2363, 15, 4459, {1, 1, 3, 3, 1, 5, 17, 177, 401, 727, 1555, 3097, 1243, 5933, 14579}},
+{2364, 15, 4461, {1, 1, 7, 3, 19, 19, 37, 87, 105, 73, 197, 4067, 6237, 10553, 9207}},
+{2365, 15, 4470, {1, 1, 3, 15, 1, 55, 119, 115, 441, 3, 1003, 1631, 197, 12929, 25385}},
+{2366, 15, 4483, {1, 3, 7, 11, 31, 1, 119, 49, 467, 647, 685, 2771, 3689, 11049, 26787}},
+{2367, 15, 4485, {1, 1, 1, 11, 19, 19, 21, 73, 459, 935, 615, 371, 1099, 14407, 10375}},
+{2368, 15, 4486, {1, 3, 5, 13, 15, 3, 107, 179, 259, 677, 1101, 315, 7673, 14639, 11241}},
+{2369, 15, 4492, {1, 1, 7, 9, 15, 21, 93, 25, 349, 23, 1087, 27, 5691, 12997, 29301}},
+{2370, 15, 4497, {1, 3, 3, 5, 7, 43, 1, 195, 69, 753, 1315, 2629, 3259, 5595, 19439}},
+{2371, 15, 4514, {1, 3, 5, 5, 31, 9, 75, 217, 217, 197, 1925, 2033, 3585, 15219, 20251}},
+{2372, 15, 4533, {1, 1, 5, 11, 17, 31, 3, 209, 315, 49, 949, 2267, 4611, 4375, 16431}},
+{2373, 15, 4537, {1, 1, 7, 9, 17, 35, 13, 115, 119, 553, 1527, 2857, 3599, 391, 25101}},
+{2374, 15, 4546, {1, 3, 3, 15, 13, 59, 17, 177, 301, 719, 909, 1663, 5033, 1129, 529}},
+{2375, 15, 4551, {1, 1, 7, 5, 15, 13, 99, 157, 379, 975, 1019, 2251, 3807, 10621, 351}},
+{2376, 15, 4555, {1, 3, 3, 13, 5, 57, 5, 31, 361, 981, 883, 3723, 2259, 5151, 11783}},
+{2377, 15, 4560, {1, 1, 1, 13, 1, 43, 125, 19, 77, 509, 1817, 3795, 1863, 8401, 27253}},
+{2378, 15, 4569, {1, 1, 5, 7, 19, 41, 21, 151, 89, 189, 769, 1937, 4497, 13607, 24691}},
+{2379, 15, 4576, {1, 1, 1, 9, 21, 9, 1, 195, 31, 907, 1719, 1549, 809, 13629, 16597}},
+{2380, 15, 4582, {1, 1, 1, 3, 21, 61, 103, 219, 311, 849, 523, 21, 4533, 6367, 3935}},
+{2381, 15, 4586, {1, 1, 7, 9, 7, 33, 77, 19, 489, 933, 1729, 1813, 6741, 10701, 7}},
+{2382, 15, 4609, {1, 1, 1, 5, 23, 53, 43, 63, 453, 209, 1313, 2847, 2641, 13783, 14983}},
+{2383, 15, 4610, {1, 3, 7, 7, 15, 45, 83, 241, 509, 659, 213, 221, 5205, 6019, 18945}},
+{2384, 15, 4612, {1, 1, 5, 9, 25, 43, 37, 9, 191, 505, 765, 295, 953, 1045, 11203}},
+{2385, 15, 4649, {1, 3, 7, 11, 5, 49, 45, 177, 379, 695, 355, 1711, 7747, 497, 7597}},
+{2386, 15, 4652, {1, 1, 5, 13, 23, 47, 101, 145, 301, 207, 195, 2225, 8093, 15345, 14097}},
+{2387, 15, 4672, {1, 3, 7, 13, 9, 9, 55, 223, 343, 921, 1825, 3281, 2627, 855, 27651}},
+{2388, 15, 4677, {1, 1, 7, 1, 21, 1, 67, 149, 433, 111, 577, 3675, 495, 9043, 23613}},
+{2389, 15, 4684, {1, 3, 1, 13, 9, 39, 37, 73, 117, 559, 1131, 2511, 7599, 8393, 24747}},
+{2390, 15, 4690, {1, 3, 3, 7, 11, 15, 85, 229, 7, 21, 1649, 739, 375, 13991, 27053}},
+{2391, 15, 4695, {1, 1, 5, 5, 15, 41, 49, 117, 173, 825, 1343, 377, 1789, 12519, 30667}},
+{2392, 15, 4696, {1, 1, 7, 15, 9, 11, 97, 99, 347, 729, 9, 1703, 1177, 5189, 9061}},
+{2393, 15, 4702, {1, 1, 5, 11, 15, 25, 99, 63, 89, 675, 561, 215, 8111, 3955, 24635}},
+{2394, 15, 4705, {1, 1, 1, 1, 7, 53, 99, 193, 233, 731, 733, 1883, 7783, 14413, 14003}},
+{2395, 15, 4717, {1, 3, 5, 7, 31, 23, 45, 153, 337, 293, 443, 2301, 5135, 7455, 13123}},
+{2396, 15, 4726, {1, 3, 1, 3, 23, 53, 23, 165, 53, 875, 1543, 1035, 4247, 5101, 28445}},
+{2397, 15, 4736, {1, 1, 1, 15, 13, 41, 77, 93, 205, 743, 1101, 1413, 2371, 7183, 12337}},
+{2398, 15, 4753, {1, 1, 3, 15, 17, 63, 25, 101, 147, 149, 1207, 3525, 2661, 9539, 11145}},
+{2399, 15, 4754, {1, 3, 1, 9, 17, 5, 3, 35, 389, 909, 1017, 2803, 5243, 13025, 8851}},
+{2400, 15, 4756, {1, 1, 7, 15, 19, 27, 69, 91, 71, 547, 1421, 831, 6969, 5517, 28233}},
+{2401, 15, 4775, {1, 1, 3, 3, 17, 45, 55, 63, 263, 819, 1211, 2739, 655, 13269, 22281}},
+{2402, 15, 4801, {1, 3, 1, 5, 23, 13, 81, 251, 83, 551, 491, 1029, 3561, 357, 23393}},
+{2403, 15, 4819, {1, 3, 1, 13, 25, 27, 93, 143, 407, 403, 1395, 1733, 3187, 1917, 31453}},
+{2404, 15, 4828, {1, 1, 7, 13, 3, 21, 85, 113, 483, 461, 1343, 561, 2081, 10857, 24253}},
+{2405, 15, 4838, {1, 1, 1, 1, 11, 11, 53, 135, 25, 163, 1729, 617, 1533, 10881, 16041}},
+{2406, 15, 4852, {1, 1, 5, 1, 3, 49, 125, 139, 77, 891, 815, 3431, 4875, 12513, 4595}},
+{2407, 15, 4856, {1, 1, 1, 1, 27, 63, 111, 109, 421, 425, 345, 1613, 5447, 1357, 32413}},
+{2408, 15, 4873, {1, 3, 5, 3, 17, 5, 37, 171, 259, 281, 1003, 2901, 3241, 15557, 21415}},
+{2409, 15, 4887, {1, 1, 5, 11, 15, 55, 75, 199, 493, 215, 1625, 2345, 7873, 2325, 11003}},
+{2410, 15, 4891, {1, 3, 7, 1, 21, 33, 23, 5, 495, 941, 1185, 475, 5799, 15161, 10677}},
+{2411, 15, 4904, {1, 1, 5, 9, 31, 37, 37, 29, 217, 389, 297, 3097, 7319, 2601, 15307}},
+{2412, 15, 4912, {1, 3, 7, 5, 7, 45, 111, 167, 297, 275, 1669, 2489, 1511, 15753, 1289}},
+{2413, 15, 4921, {1, 3, 1, 7, 3, 45, 19, 11, 189, 199, 1227, 2647, 1897, 9077, 17189}},
+{2414, 15, 4936, {1, 1, 1, 13, 15, 39, 19, 179, 147, 341, 283, 3029, 7599, 8937, 18761}},
+{2415, 15, 4941, {1, 3, 3, 9, 3, 11, 41, 255, 365, 835, 921, 389, 919, 15223, 14541}},
+{2416, 15, 4942, {1, 1, 3, 3, 5, 37, 29, 203, 313, 271, 1207, 487, 3711, 3811, 26757}},
+{2417, 15, 4963, {1, 3, 7, 9, 19, 53, 49, 139, 351, 537, 1681, 1595, 5399, 13839, 28685}},
+{2418, 15, 4984, {1, 3, 1, 1, 15, 35, 21, 37, 247, 891, 1855, 1243, 3137, 10381, 30379}},
+{2419, 15, 4990, {1, 3, 7, 5, 9, 47, 91, 25, 479, 337, 781, 3545, 1045, 9491, 22853}},
+{2420, 15, 5005, {1, 1, 5, 15, 19, 31, 81, 5, 117, 923, 565, 2443, 7383, 1795, 11685}},
+{2421, 15, 5013, {1, 3, 3, 5, 17, 15, 21, 245, 489, 889, 2047, 2737, 7445, 14785, 13401}},
+{2422, 15, 5020, {1, 1, 1, 15, 19, 45, 67, 117, 299, 607, 953, 743, 6863, 12123, 6701}},
+{2423, 15, 5039, {1, 1, 3, 1, 1, 43, 19, 129, 345, 861, 209, 2387, 7205, 7131, 8235}},
+{2424, 15, 5048, {1, 3, 5, 1, 1, 13, 75, 99, 333, 157, 23, 1217, 1857, 15479, 16031}},
+{2425, 15, 5062, {1, 3, 3, 11, 7, 61, 119, 89, 491, 401, 227, 1739, 3807, 16003, 2875}},
+{2426, 15, 5080, {1, 3, 7, 15, 13, 55, 3, 159, 405, 593, 975, 361, 2563, 6061, 28087}},
+{2427, 15, 5085, {1, 1, 3, 13, 19, 5, 5, 9, 119, 41, 33, 1111, 4443, 4663, 28841}},
+{2428, 15, 5086, {1, 1, 7, 7, 25, 59, 125, 255, 49, 947, 1673, 2947, 6369, 2267, 8813}},
+{2429, 15, 5095, {1, 1, 5, 15, 25, 25, 111, 193, 217, 193, 821, 2779, 69, 2957, 27043}},
+{2430, 15, 5096, {1, 3, 5, 7, 21, 19, 51, 157, 203, 487, 1745, 1875, 911, 14071, 7557}},
+{2431, 15, 5102, {1, 1, 5, 9, 3, 15, 55, 73, 313, 245, 1061, 1929, 3035, 607, 11563}},
+{2432, 15, 5107, {1, 1, 5, 7, 3, 57, 105, 121, 461, 43, 803, 1801, 4059, 2157, 17547}},
+{2433, 15, 5141, {1, 3, 7, 7, 19, 11, 1, 121, 499, 841, 601, 3515, 2969, 13697, 8917}},
+{2434, 15, 5145, {1, 3, 3, 3, 13, 35, 113, 231, 391, 689, 697, 2871, 7387, 715, 27005}},
+{2435, 15, 5148, {1, 1, 1, 13, 19, 5, 17, 43, 175, 291, 987, 1917, 7635, 15655, 10689}},
+{2436, 15, 5157, {1, 1, 7, 15, 19, 37, 121, 243, 125, 623, 1231, 29, 2325, 5147, 21435}},
+{2437, 15, 5158, {1, 3, 5, 15, 25, 27, 57, 187, 77, 401, 1489, 2977, 5415, 3381, 2551}},
+{2438, 15, 5162, {1, 1, 1, 7, 1, 1, 85, 27, 115, 559, 9, 2365, 711, 5733, 2819}},
+{2439, 15, 5172, {1, 3, 1, 15, 9, 29, 61, 113, 169, 349, 591, 1061, 6041, 7613, 23691}},
+{2440, 15, 5182, {1, 1, 5, 1, 13, 45, 49, 227, 345, 563, 87, 3597, 3961, 7205, 8441}},
+{2441, 15, 5184, {1, 1, 1, 5, 3, 21, 121, 183, 463, 83, 1365, 539, 1485, 10063, 24867}},
+{2442, 15, 5193, {1, 3, 5, 5, 3, 61, 101, 237, 41, 147, 1907, 3049, 7583, 8283, 6099}},
+{2443, 15, 5199, {1, 3, 1, 15, 31, 57, 19, 155, 445, 805, 1793, 207, 1975, 3357, 14281}},
+{2444, 15, 5201, {1, 1, 7, 13, 9, 39, 27, 73, 165, 345, 543, 4095, 133, 10469, 11573}},
+{2445, 15, 5204, {1, 1, 7, 15, 17, 57, 99, 81, 359, 367, 1057, 1173, 4225, 15127, 2615}},
+{2446, 15, 5211, {1, 3, 5, 3, 31, 23, 113, 111, 495, 947, 1625, 1195, 2053, 1509, 1347}},
+{2447, 15, 5223, {1, 1, 5, 5, 9, 47, 25, 63, 455, 107, 771, 3815, 3827, 16287, 11615}},
+{2448, 15, 5230, {1, 1, 7, 9, 17, 61, 51, 215, 63, 123, 1253, 3927, 721, 9647, 3283}},
+{2449, 15, 5232, {1, 1, 5, 15, 11, 17, 83, 255, 473, 107, 681, 763, 7855, 8043, 31503}},
+{2450, 15, 5253, {1, 3, 1, 7, 7, 31, 37, 5, 253, 155, 2017, 609, 1421, 14927, 25241}},
+{2451, 15, 5257, {1, 3, 3, 13, 31, 25, 21, 241, 431, 193, 681, 2265, 5091, 11479, 21443}},
+{2452, 15, 5260, {1, 3, 5, 5, 15, 9, 49, 255, 157, 995, 631, 1995, 3605, 9085, 24245}},
+{2453, 15, 5284, {1, 3, 3, 7, 19, 31, 85, 153, 493, 951, 451, 1587, 6609, 3681, 13205}},
+{2454, 15, 5306, {1, 1, 5, 1, 17, 41, 107, 231, 307, 361, 575, 3239, 3443, 16159, 20625}},
+{2455, 15, 5331, {1, 1, 7, 9, 31, 49, 93, 79, 181, 117, 1241, 3645, 4901, 12599, 13247}},
+{2456, 15, 5334, {1, 3, 3, 9, 7, 31, 127, 201, 11, 199, 1851, 23, 5667, 8159, 20951}},
+{2457, 15, 5364, {1, 3, 3, 7, 3, 37, 29, 189, 65, 461, 769, 321, 6577, 16223, 16865}},
+{2458, 15, 5367, {1, 1, 5, 11, 1, 13, 91, 167, 33, 111, 1445, 1047, 2479, 12623, 22893}},
+{2459, 15, 5371, {1, 1, 3, 1, 3, 1, 47, 185, 329, 903, 1651, 3005, 907, 1255, 8303}},
+{2460, 15, 5382, {1, 3, 5, 13, 19, 31, 5, 233, 265, 769, 1303, 2503, 2229, 14019, 20257}},
+{2461, 15, 5386, {1, 3, 7, 3, 27, 11, 67, 195, 5, 661, 125, 3761, 7211, 16043, 7267}},
+{2462, 15, 5399, {1, 1, 1, 3, 27, 13, 115, 25, 473, 417, 1751, 2223, 2099, 5913, 14273}},
+{2463, 15, 5400, {1, 3, 7, 15, 13, 53, 99, 115, 225, 737, 1621, 539, 4131, 471, 31865}},
+{2464, 15, 5409, {1, 1, 5, 5, 25, 19, 39, 207, 153, 569, 1755, 2477, 3065, 7383, 29919}},
+{2465, 15, 5415, {1, 3, 5, 11, 13, 59, 33, 3, 435, 273, 701, 3819, 7291, 11803, 26111}},
+{2466, 15, 5416, {1, 1, 3, 9, 29, 19, 71, 59, 93, 1019, 887, 83, 4675, 7541, 26821}},
+{2467, 15, 5424, {1, 3, 1, 3, 21, 53, 71, 73, 43, 321, 1581, 1399, 4043, 12995, 16825}},
+{2468, 15, 5436, {1, 3, 7, 15, 3, 13, 37, 11, 93, 873, 1193, 3481, 451, 15869, 17879}},
+{2469, 15, 5454, {1, 3, 1, 11, 31, 19, 101, 57, 129, 753, 853, 463, 6757, 11083, 8667}},
+{2470, 15, 5462, {1, 3, 5, 15, 25, 41, 25, 197, 235, 609, 905, 993, 3233, 1935, 24661}},
+{2471, 15, 5468, {1, 3, 1, 5, 21, 7, 53, 107, 473, 77, 1135, 1045, 4933, 5615, 15931}},
+{2472, 15, 5481, {1, 3, 7, 11, 3, 9, 105, 183, 151, 527, 425, 975, 4073, 913, 2793}},
+{2473, 15, 5505, {1, 1, 7, 13, 19, 61, 81, 9, 413, 851, 1723, 1113, 1453, 8635, 3353}},
+{2474, 15, 5511, {1, 3, 7, 15, 19, 53, 83, 31, 441, 343, 575, 935, 4543, 1303, 12567}},
+{2475, 15, 5518, {1, 1, 1, 5, 29, 19, 119, 75, 3, 591, 845, 649, 1717, 13695, 26905}},
+{2476, 15, 5530, {1, 1, 7, 9, 5, 53, 127, 191, 15, 773, 1433, 2899, 21, 4977, 17839}},
+{2477, 15, 5532, {1, 1, 5, 9, 21, 9, 99, 115, 397, 99, 725, 3835, 973, 1219, 21159}},
+{2478, 15, 5539, {1, 3, 5, 3, 7, 39, 29, 93, 303, 913, 981, 3549, 5225, 10907, 393}},
+{2479, 15, 5553, {1, 3, 3, 11, 9, 25, 105, 101, 1, 867, 389, 2241, 773, 14123, 10015}},
+{2480, 15, 5573, {1, 1, 5, 1, 1, 37, 117, 213, 391, 779, 1851, 1485, 1277, 5607, 819}},
+{2481, 15, 5580, {1, 3, 7, 1, 3, 5, 43, 47, 483, 367, 749, 1693, 4961, 15257, 3775}},
+{2482, 15, 5597, {1, 3, 3, 1, 27, 11, 21, 83, 437, 379, 1041, 393, 5611, 2421, 31739}},
+{2483, 15, 5602, {1, 3, 5, 7, 19, 1, 79, 63, 53, 201, 1159, 2501, 6327, 11317, 9537}},
+{2484, 15, 5608, {1, 3, 5, 13, 9, 37, 61, 217, 427, 913, 1311, 3503, 5473, 10583, 19723}},
+{2485, 15, 5611, {1, 1, 3, 9, 11, 29, 121, 175, 141, 515, 925, 837, 6011, 10419, 32157}},
+{2486, 15, 5613, {1, 3, 5, 9, 27, 57, 97, 175, 365, 367, 1737, 3845, 1257, 12243, 2201}},
+{2487, 15, 5625, {1, 3, 3, 9, 23, 1, 53, 123, 127, 333, 1335, 707, 5747, 6541, 9809}},
+{2488, 15, 5632, {1, 3, 1, 9, 17, 37, 101, 41, 91, 61, 433, 979, 4345, 12351, 10829}},
+{2489, 15, 5635, {1, 3, 3, 13, 3, 21, 15, 49, 257, 99, 1793, 2987, 5233, 11625, 28069}},
+{2490, 15, 5638, {1, 1, 7, 11, 21, 13, 89, 11, 135, 153, 783, 2893, 6815, 12007, 15605}},
+{2491, 15, 5652, {1, 3, 7, 13, 5, 61, 73, 5, 269, 699, 925, 2925, 5919, 5841, 24875}},
+{2492, 15, 5659, {1, 3, 5, 5, 25, 45, 43, 93, 15, 927, 1253, 319, 1173, 14559, 20221}},
+{2493, 15, 5677, {1, 1, 3, 3, 27, 45, 9, 103, 447, 627, 1239, 3869, 2169, 49, 17917}},
+{2494, 15, 5686, {1, 3, 7, 7, 11, 9, 1, 1, 1, 527, 825, 3295, 623, 2095, 10537}},
+{2495, 15, 5689, {1, 3, 3, 11, 21, 11, 59, 165, 33, 743, 1461, 1535, 6393, 1301, 17823}},
+{2496, 15, 5698, {1, 1, 7, 3, 19, 43, 47, 245, 469, 551, 1447, 1963, 169, 1481, 31925}},
+{2497, 15, 5703, {1, 1, 3, 1, 11, 21, 51, 7, 251, 199, 1153, 767, 6417, 3417, 30171}},
+{2498, 15, 5707, {1, 3, 7, 1, 31, 5, 41, 103, 447, 263, 211, 2029, 8021, 4705, 10579}},
+{2499, 15, 5731, {1, 1, 3, 5, 17, 25, 55, 75, 393, 107, 2017, 2389, 1685, 14021, 9161}},
+{2500, 15, 5738, {1, 1, 1, 9, 13, 1, 75, 237, 205, 461, 689, 2531, 2839, 13925, 23351}},
+{2501, 15, 5743, {1, 3, 7, 1, 23, 39, 33, 189, 157, 571, 239, 1053, 1559, 1685, 23059}},
+{2502, 15, 5748, {1, 3, 3, 3, 27, 61, 71, 121, 49, 157, 1341, 1707, 2417, 11689, 26507}},
+{2503, 15, 5758, {1, 3, 7, 7, 19, 63, 47, 53, 95, 791, 1467, 1273, 2045, 755, 8555}},
+{2504, 15, 5762, {1, 1, 3, 15, 27, 33, 21, 253, 317, 153, 1509, 1765, 3809, 601, 5907}},
+{2505, 15, 5768, {1, 3, 5, 15, 11, 17, 97, 91, 165, 199, 1751, 2135, 1315, 3077, 29995}},
+{2506, 15, 5773, {1, 3, 1, 5, 3, 33, 93, 49, 39, 743, 341, 2549, 7603, 3369, 30889}},
+{2507, 15, 5776, {1, 1, 3, 13, 3, 5, 87, 63, 293, 785, 1591, 675, 3915, 2209, 18201}},
+{2508, 15, 5815, {1, 3, 3, 11, 3, 15, 69, 231, 241, 127, 429, 2201, 8173, 12549, 25745}},
+{2509, 15, 5841, {1, 1, 5, 11, 15, 39, 3, 29, 125, 685, 643, 1385, 829, 7347, 28793}},
+{2510, 15, 5847, {1, 1, 7, 15, 27, 15, 59, 237, 299, 773, 1097, 3875, 6503, 7129, 28495}},
+{2511, 15, 5860, {1, 3, 5, 13, 9, 17, 31, 227, 69, 443, 1633, 525, 1659, 14681, 15209}},
+{2512, 15, 5870, {1, 3, 5, 5, 13, 51, 69, 173, 111, 433, 279, 2145, 2091, 9741, 24881}},
+{2513, 15, 5875, {1, 3, 1, 7, 7, 35, 55, 51, 357, 99, 1789, 333, 2073, 10151, 14527}},
+{2514, 15, 5877, {1, 3, 3, 7, 13, 41, 101, 87, 425, 701, 1143, 2733, 6473, 8667, 17419}},
+{2515, 15, 5884, {1, 1, 5, 5, 25, 29, 63, 31, 385, 537, 563, 607, 6723, 9251, 6531}},
+{2516, 15, 5892, {1, 3, 5, 5, 9, 63, 111, 131, 239, 723, 705, 2805, 6579, 12691, 17521}},
+{2517, 15, 5902, {1, 3, 1, 7, 31, 55, 101, 225, 477, 271, 611, 3179, 7859, 9835, 2165}},
+{2518, 15, 5910, {1, 1, 3, 3, 5, 15, 81, 127, 391, 333, 419, 1091, 5997, 12315, 31521}},
+{2519, 15, 5916, {1, 3, 5, 15, 23, 7, 35, 109, 181, 295, 825, 419, 969, 15753, 9365}},
+{2520, 15, 5919, {1, 3, 5, 5, 25, 23, 69, 177, 325, 359, 1577, 619, 6233, 11753, 8103}},
+{2521, 15, 5935, {1, 3, 5, 11, 31, 13, 79, 61, 241, 1011, 1961, 949, 6211, 497, 7099}},
+{2522, 15, 5937, {1, 3, 5, 3, 25, 19, 67, 235, 337, 1015, 1485, 355, 3653, 12735, 14503}},
+{2523, 15, 5944, {1, 3, 5, 7, 31, 23, 35, 231, 147, 15, 263, 1995, 431, 5941, 18931}},
+{2524, 15, 5947, {1, 3, 3, 7, 1, 35, 37, 7, 85, 443, 715, 743, 2189, 12537, 17427}},
+{2525, 15, 5958, {1, 1, 3, 1, 7, 41, 1, 209, 121, 929, 661, 3999, 955, 5123, 31115}},
+{2526, 15, 5962, {1, 1, 3, 5, 11, 43, 127, 125, 107, 293, 273, 2071, 3003, 11631, 7769}},
+{2527, 15, 5969, {1, 1, 1, 13, 13, 29, 39, 217, 111, 779, 1287, 1675, 4201, 4869, 20403}},
+{2528, 15, 5981, {1, 1, 3, 15, 25, 53, 25, 135, 389, 925, 1971, 663, 7545, 2673, 7725}},
+{2529, 15, 5995, {1, 1, 5, 13, 3, 59, 97, 91, 357, 45, 947, 3031, 8095, 6269, 13975}},
+{2530, 15, 5998, {1, 1, 5, 15, 25, 31, 1, 171, 375, 939, 507, 3591, 1089, 13605, 2813}},
+{2531, 15, 6003, {1, 1, 3, 7, 25, 21, 41, 131, 147, 737, 9, 1603, 1859, 11573, 28397}},
+{2532, 15, 6010, {1, 3, 3, 9, 21, 9, 59, 27, 169, 875, 711, 1389, 2899, 7937, 4173}},
+{2533, 15, 6016, {1, 1, 5, 9, 13, 29, 71, 39, 51, 337, 1067, 2661, 1203, 5967, 19249}},
+{2534, 15, 6025, {1, 3, 7, 1, 17, 21, 43, 79, 181, 741, 1901, 3445, 7171, 2109, 1589}},
+{2535, 15, 6031, {1, 1, 3, 9, 23, 37, 105, 51, 227, 775, 1265, 2987, 2197, 13903, 28891}},
+{2536, 15, 6036, {1, 1, 1, 13, 23, 47, 111, 41, 93, 261, 75, 2155, 4301, 11517, 16101}},
+{2537, 15, 6039, {1, 1, 3, 3, 27, 27, 123, 125, 501, 775, 413, 1065, 7607, 15065, 26013}},
+{2538, 15, 6045, {1, 3, 7, 3, 27, 11, 59, 87, 207, 743, 1765, 2969, 913, 8101, 11583}},
+{2539, 15, 6049, {1, 3, 3, 1, 23, 7, 113, 17, 285, 993, 695, 2399, 5019, 4779, 28917}},
+{2540, 15, 6052, {1, 3, 1, 5, 11, 51, 49, 139, 213, 435, 1475, 2209, 6695, 12981, 9851}},
+{2541, 15, 6067, {1, 3, 5, 7, 1, 63, 31, 151, 173, 767, 1453, 1497, 6911, 9597, 25551}},
+{2542, 15, 6074, {1, 1, 7, 7, 21, 53, 39, 159, 389, 231, 309, 359, 7701, 14819, 5175}},
+{2543, 15, 6087, {1, 1, 1, 1, 11, 47, 83, 29, 247, 89, 369, 2727, 3103, 14421, 17369}},
+{2544, 15, 6101, {1, 3, 1, 5, 25, 25, 111, 245, 239, 755, 113, 1765, 3583, 917, 403}},
+{2545, 15, 6121, {1, 3, 3, 3, 5, 59, 85, 151, 463, 591, 743, 3767, 121, 2927, 11031}},
+{2546, 15, 6129, {1, 3, 5, 9, 11, 39, 77, 161, 275, 233, 1991, 2683, 6545, 2423, 32113}},
+{2547, 15, 6142, {1, 3, 5, 11, 5, 57, 13, 229, 329, 757, 1863, 3959, 4243, 7265, 15599}},
+{2548, 15, 6151, {1, 1, 1, 1, 1, 23, 19, 67, 453, 593, 2011, 1813, 4695, 8903, 9623}},
+{2549, 15, 6157, {1, 3, 3, 7, 1, 29, 103, 255, 493, 647, 1709, 4065, 4199, 949, 28829}},
+{2550, 15, 6166, {1, 1, 7, 9, 3, 55, 53, 33, 5, 223, 423, 3347, 7647, 7211, 25157}},
+{2551, 15, 6170, {1, 3, 5, 13, 3, 43, 79, 255, 471, 573, 1007, 2119, 6731, 10047, 23179}},
+{2552, 15, 6175, {1, 1, 1, 3, 7, 39, 55, 61, 53, 377, 435, 401, 3307, 12621, 14299}},
+{2553, 15, 6186, {1, 3, 3, 7, 21, 31, 67, 17, 243, 425, 747, 2995, 1389, 2557, 18415}},
+{2554, 15, 6203, {1, 3, 1, 3, 3, 39, 75, 11, 447, 249, 1135, 1011, 1657, 10767, 19501}},
+{2555, 15, 6217, {1, 3, 1, 11, 17, 51, 117, 129, 17, 143, 785, 103, 5049, 14703, 28479}},
+{2556, 15, 6231, {1, 3, 7, 5, 13, 17, 75, 255, 75, 661, 1175, 477, 1811, 1479, 15783}},
+{2557, 15, 6241, {1, 3, 7, 9, 11, 57, 101, 77, 431, 247, 997, 3657, 5117, 6815, 3841}},
+{2558, 15, 6242, {1, 1, 5, 1, 17, 21, 101, 183, 209, 69, 299, 1585, 6381, 12983, 10053}},
+{2559, 15, 6248, {1, 1, 7, 3, 5, 13, 21, 63, 83, 857, 749, 1251, 5363, 9629, 16563}},
+{2560, 15, 6256, {1, 3, 3, 9, 3, 59, 9, 45, 55, 489, 137, 2423, 2661, 12111, 4375}},
+{2561, 15, 6265, {1, 1, 5, 9, 23, 9, 41, 177, 447, 671, 1631, 3115, 4215, 14435, 8743}},
+{2562, 15, 6275, {1, 3, 7, 11, 19, 23, 15, 221, 413, 783, 1247, 2343, 4397, 3145, 32043}},
+{2563, 15, 6277, {1, 3, 3, 1, 31, 55, 31, 87, 333, 849, 1777, 343, 5199, 1507, 11621}},
+{2564, 15, 6302, {1, 3, 7, 3, 17, 57, 63, 63, 111, 977, 631, 3019, 2953, 14273, 29209}},
+{2565, 15, 6315, {1, 3, 1, 13, 9, 39, 87, 15, 397, 185, 701, 1487, 3807, 13727, 19883}},
+{2566, 15, 6318, {1, 3, 7, 1, 17, 57, 57, 157, 119, 181, 899, 353, 3603, 15041, 7421}},
+{2567, 15, 6330, {1, 1, 7, 3, 29, 13, 29, 191, 105, 373, 961, 1991, 5531, 6793, 29497}},
+{2568, 15, 6343, {1, 3, 3, 11, 7, 61, 65, 39, 215, 187, 191, 1651, 2481, 3951, 24965}},
+{2569, 15, 6347, {1, 1, 7, 5, 25, 11, 105, 23, 257, 771, 1359, 2837, 7821, 12223, 28033}},
+{2570, 15, 6350, {1, 3, 5, 11, 3, 3, 23, 139, 407, 885, 1679, 2979, 8149, 14281, 12487}},
+{2571, 15, 6352, {1, 3, 7, 3, 21, 45, 13, 85, 249, 1015, 2023, 1429, 965, 7091, 31721}},
+{2572, 15, 6371, {1, 1, 1, 13, 19, 5, 119, 47, 91, 285, 211, 2607, 4287, 9197, 455}},
+{2573, 15, 6383, {1, 3, 1, 1, 9, 59, 25, 137, 121, 287, 577, 3325, 2365, 8823, 5033}},
+{2574, 15, 6386, {1, 3, 3, 13, 25, 63, 99, 43, 15, 855, 245, 3189, 59, 5181, 21299}},
+{2575, 15, 6405, {1, 3, 5, 11, 7, 9, 41, 157, 359, 773, 1347, 2049, 4589, 13731, 32133}},
+{2576, 15, 6409, {1, 1, 7, 11, 31, 37, 83, 105, 183, 375, 79, 1821, 1989, 15199, 22207}},
+{2577, 15, 6410, {1, 1, 5, 3, 23, 37, 127, 9, 467, 651, 993, 69, 6943, 4093, 20871}},
+{2578, 15, 6433, {1, 1, 3, 15, 31, 49, 123, 149, 211, 371, 1825, 3011, 485, 1251, 17343}},
+{2579, 15, 6436, {1, 1, 1, 15, 11, 33, 127, 251, 89, 317, 1869, 219, 2275, 14201, 27063}},
+{2580, 15, 6439, {1, 1, 5, 5, 19, 5, 81, 35, 233, 95, 9, 863, 725, 11095, 16217}},
+{2581, 15, 6463, {1, 1, 1, 15, 23, 47, 51, 43, 169, 637, 865, 57, 1509, 1683, 7587}},
+{2582, 15, 6468, {1, 3, 1, 3, 7, 7, 117, 187, 273, 303, 717, 3091, 2083, 3315, 647}},
+{2583, 15, 6477, {1, 1, 5, 15, 13, 27, 23, 227, 145, 547, 1783, 987, 6895, 7135, 11023}},
+{2584, 15, 6496, {1, 1, 5, 11, 21, 39, 57, 203, 477, 17, 985, 1729, 4297, 7483, 13263}},
+{2585, 15, 6511, {1, 3, 7, 9, 3, 49, 71, 45, 143, 967, 39, 583, 2123, 5165, 17437}},
+{2586, 15, 6516, {1, 1, 1, 9, 21, 51, 71, 163, 441, 709, 397, 445, 6167, 7753, 11513}},
+{2587, 15, 6519, {1, 1, 7, 7, 27, 35, 5, 181, 449, 53, 621, 3401, 5263, 4557, 9141}},
+{2588, 15, 6523, {1, 1, 5, 7, 7, 37, 83, 111, 485, 881, 465, 3371, 5603, 371, 29393}},
+{2589, 15, 6530, {1, 3, 1, 15, 7, 47, 41, 245, 377, 823, 309, 3929, 2159, 13917, 13365}},
+{2590, 15, 6539, {1, 3, 7, 7, 7, 29, 25, 141, 19, 611, 79, 2689, 109, 12321, 8345}},
+{2591, 15, 6547, {1, 1, 1, 13, 3, 53, 113, 151, 381, 791, 137, 3185, 3567, 211, 597}},
+{2592, 15, 6589, {1, 1, 3, 9, 7, 53, 87, 89, 491, 861, 467, 3763, 2025, 4187, 9637}},
+{2593, 15, 6592, {1, 1, 7, 1, 27, 33, 71, 41, 63, 1011, 741, 1135, 175, 3739, 21493}},
+{2594, 15, 6601, {1, 3, 3, 5, 9, 19, 55, 175, 325, 55, 1193, 1423, 2049, 9633, 17515}},
+{2595, 15, 6610, {1, 1, 3, 1, 27, 55, 69, 103, 401, 707, 825, 399, 6799, 13199, 6295}},
+{2596, 15, 6616, {1, 3, 7, 3, 19, 63, 25, 151, 17, 159, 1673, 615, 6317, 13261, 26267}},
+{2597, 15, 6619, {1, 3, 7, 9, 27, 1, 77, 129, 423, 647, 707, 2579, 3525, 6723, 31615}},
+{2598, 15, 6626, {1, 3, 3, 7, 7, 31, 35, 241, 309, 369, 895, 3683, 4795, 11319, 451}},
+{2599, 15, 6635, {1, 3, 5, 7, 17, 7, 117, 141, 267, 713, 569, 1915, 4369, 7793, 30853}},
+{2600, 15, 6637, {1, 3, 7, 1, 29, 61, 81, 73, 413, 13, 1977, 3229, 5853, 8451, 15539}},
+{2601, 15, 6638, {1, 3, 7, 1, 5, 45, 109, 21, 431, 487, 2019, 2647, 927, 16015, 10711}},
+{2602, 15, 6652, {1, 3, 1, 3, 11, 19, 37, 183, 451, 377, 269, 3993, 3229, 4899, 26561}},
+{2603, 15, 6656, {1, 3, 1, 11, 5, 19, 121, 55, 57, 117, 687, 83, 3047, 1367, 17595}},
+{2604, 15, 6662, {1, 3, 1, 7, 17, 31, 41, 219, 239, 963, 199, 2895, 5599, 7639, 17201}},
+{2605, 15, 6689, {1, 3, 3, 5, 27, 53, 71, 183, 509, 771, 1809, 1539, 2229, 4893, 17115}},
+{2606, 15, 6699, {1, 1, 3, 9, 9, 9, 13, 49, 265, 643, 1929, 859, 497, 9797, 27771}},
+{2607, 15, 6710, {1, 3, 7, 11, 19, 39, 115, 139, 207, 903, 963, 1849, 4403, 6229, 10021}},
+{2608, 15, 6714, {1, 3, 7, 13, 3, 57, 99, 223, 503, 423, 1755, 807, 1885, 213, 18723}},
+{2609, 15, 6719, {1, 3, 7, 15, 11, 15, 111, 193, 243, 599, 593, 3385, 5393, 15073, 17777}},
+{2610, 15, 6739, {1, 1, 5, 3, 19, 63, 121, 207, 99, 435, 1961, 2747, 6405, 3971, 23481}},
+{2611, 15, 6751, {1, 3, 5, 13, 9, 29, 79, 131, 415, 49, 229, 1003, 3263, 12975, 15987}},
+{2612, 15, 6775, {1, 1, 3, 7, 1, 41, 127, 155, 29, 73, 963, 659, 2741, 3465, 2595}},
+{2613, 15, 6779, {1, 1, 3, 5, 23, 23, 93, 233, 113, 521, 427, 1557, 6917, 12953, 22441}},
+{2614, 15, 6788, {1, 1, 5, 13, 5, 25, 85, 191, 387, 69, 955, 243, 4473, 9813, 21711}},
+{2615, 15, 6798, {1, 3, 3, 7, 1, 53, 95, 65, 231, 995, 539, 2103, 5513, 14087, 28655}},
+{2616, 15, 6815, {1, 3, 5, 3, 17, 13, 19, 227, 197, 91, 1437, 1121, 3307, 6903, 3297}},
+{2617, 15, 6819, {1, 1, 5, 11, 31, 29, 109, 171, 257, 783, 861, 9, 4895, 1859, 10909}},
+{2618, 15, 6825, {1, 1, 7, 13, 5, 47, 61, 5, 363, 351, 1525, 823, 2883, 12435, 17629}},
+{2619, 15, 6826, {1, 1, 5, 11, 9, 3, 69, 159, 371, 477, 1223, 1973, 2757, 413, 31223}},
+{2620, 15, 6836, {1, 1, 3, 5, 23, 45, 43, 195, 423, 829, 1673, 1563, 6633, 14775, 21097}},
+{2621, 15, 6843, {1, 1, 3, 3, 13, 9, 107, 209, 49, 609, 1047, 3691, 7483, 4269, 7557}},
+{2622, 15, 6845, {1, 1, 3, 15, 3, 43, 73, 161, 53, 813, 325, 3439, 7009, 8691, 11711}},
+{2623, 15, 6858, {1, 1, 3, 3, 23, 45, 99, 61, 407, 15, 1515, 1557, 953, 8567, 13729}},
+{2624, 15, 6868, {1, 1, 5, 9, 31, 35, 117, 57, 227, 923, 1373, 1811, 3405, 11979, 10149}},
+{2625, 15, 6877, {1, 1, 3, 9, 15, 53, 105, 209, 153, 67, 1477, 667, 3077, 4911, 3871}},
+{2626, 15, 6881, {1, 1, 3, 3, 21, 53, 93, 101, 183, 1023, 3, 3041, 5815, 9043, 5801}},
+{2627, 15, 6891, {1, 3, 3, 5, 17, 49, 127, 161, 321, 869, 1369, 923, 3235, 711, 30007}},
+{2628, 15, 6896, {1, 1, 3, 3, 15, 17, 97, 229, 389, 159, 1075, 2001, 7905, 15191, 14693}},
+{2629, 15, 6899, {1, 1, 5, 11, 5, 5, 121, 173, 95, 173, 1883, 3915, 1439, 9981, 24375}},
+{2630, 15, 6901, {1, 3, 3, 1, 31, 53, 29, 189, 37, 623, 217, 949, 3959, 7189, 25427}},
+{2631, 15, 6908, {1, 3, 5, 9, 21, 45, 101, 23, 355, 729, 797, 2317, 2931, 7433, 29175}},
+{2632, 15, 6914, {1, 3, 7, 1, 1, 63, 63, 155, 237, 865, 1169, 43, 7335, 6445, 7979}},
+{2633, 15, 6916, {1, 3, 7, 7, 11, 51, 37, 199, 503, 991, 319, 3013, 7885, 12837, 32419}},
+{2634, 15, 6923, {1, 3, 7, 7, 27, 31, 101, 243, 37, 811, 1909, 109, 6455, 7903, 11821}},
+{2635, 15, 6925, {1, 1, 3, 13, 23, 21, 89, 99, 243, 605, 1017, 1871, 1101, 12825, 8227}},
+{2636, 15, 6928, {1, 3, 3, 13, 19, 3, 51, 59, 501, 605, 385, 2189, 3229, 7981, 31407}},
+{2637, 15, 6931, {1, 1, 1, 1, 25, 11, 127, 215, 295, 237, 1245, 3657, 7803, 3897, 655}},
+{2638, 15, 6934, {1, 1, 7, 7, 5, 9, 63, 129, 143, 417, 795, 3409, 2847, 5887, 3093}},
+{2639, 15, 6937, {1, 3, 3, 13, 7, 57, 67, 57, 5, 847, 1185, 3349, 4841, 11457, 8857}},
+{2640, 15, 6938, {1, 1, 3, 3, 9, 53, 51, 43, 85, 437, 13, 2543, 3651, 15493, 767}},
+{2641, 15, 6949, {1, 1, 7, 9, 1, 49, 97, 115, 133, 1011, 1399, 2653, 7765, 13999, 12097}},
+{2642, 15, 6956, {1, 1, 5, 1, 3, 27, 123, 107, 389, 401, 1759, 1333, 1371, 5277, 14865}},
+{2643, 15, 6973, {1, 1, 5, 1, 13, 23, 3, 123, 137, 821, 399, 1671, 3095, 3121, 31387}},
+{2644, 15, 6976, {1, 1, 5, 3, 7, 35, 57, 237, 509, 753, 1783, 2815, 6495, 13283, 7091}},
+{2645, 15, 6981, {1, 1, 7, 11, 5, 37, 77, 109, 7, 969, 1087, 3705, 1695, 14223, 28959}},
+{2646, 15, 6988, {1, 3, 1, 11, 25, 5, 25, 163, 179, 185, 671, 1031, 4537, 11601, 9323}},
+{2647, 15, 6999, {1, 1, 3, 7, 17, 25, 49, 221, 183, 619, 1953, 343, 4523, 14883, 6833}},
+{2648, 15, 7016, {1, 3, 7, 5, 27, 19, 59, 153, 11, 807, 513, 3019, 6875, 5307, 8405}},
+{2649, 15, 7027, {1, 1, 1, 13, 25, 41, 21, 109, 321, 135, 497, 1235, 5177, 5167, 18609}},
+{2650, 15, 7029, {1, 1, 7, 5, 21, 53, 25, 197, 411, 503, 1009, 1921, 4305, 2633, 31415}},
+{2651, 15, 7055, {1, 3, 5, 1, 25, 45, 27, 227, 271, 903, 639, 3805, 657, 8683, 29585}},
+{2652, 15, 7058, {1, 1, 5, 3, 9, 49, 37, 35, 351, 491, 851, 2983, 31, 5619, 6919}},
+{2653, 15, 7074, {1, 1, 5, 3, 11, 49, 33, 153, 393, 1017, 1561, 2795, 4435, 12589, 22349}},
+{2654, 15, 7083, {1, 1, 1, 15, 17, 29, 49, 245, 217, 359, 1133, 393, 3317, 415, 16407}},
+{2655, 15, 7093, {1, 1, 3, 5, 3, 9, 95, 63, 319, 319, 1009, 19, 6453, 16279, 6975}},
+{2656, 15, 7100, {1, 1, 5, 9, 3, 25, 67, 95, 369, 237, 285, 2409, 671, 5143, 121}},
+{2657, 15, 7105, {1, 1, 3, 1, 9, 49, 35, 87, 317, 185, 445, 2263, 7923, 10183, 26615}},
+{2658, 15, 7112, {1, 3, 3, 11, 9, 59, 29, 135, 129, 477, 353, 3571, 1057, 16329, 23523}},
+{2659, 15, 7118, {1, 1, 1, 15, 13, 11, 19, 5, 133, 827, 1799, 1893, 1939, 1101, 12147}},
+{2660, 15, 7120, {1, 1, 3, 3, 15, 49, 33, 185, 511, 1013, 41, 3499, 6235, 7643, 16725}},
+{2661, 15, 7129, {1, 1, 5, 11, 27, 45, 89, 157, 63, 137, 2047, 1275, 4995, 625, 6111}},
+{2662, 15, 7166, {1, 3, 7, 11, 3, 1, 121, 1, 341, 33, 1895, 3033, 3929, 10257, 21037}},
+{2663, 15, 7207, {1, 3, 3, 11, 7, 11, 117, 5, 115, 287, 335, 3415, 5397, 15065, 19121}},
+{2664, 15, 7216, {1, 3, 3, 13, 21, 25, 15, 125, 277, 125, 801, 3761, 2623, 11333, 16867}},
+{2665, 15, 7226, {1, 3, 5, 11, 19, 33, 21, 71, 499, 747, 1515, 185, 1759, 14623, 895}},
+{2666, 15, 7234, {1, 3, 7, 1, 29, 35, 9, 203, 277, 299, 1509, 2017, 2897, 14175, 1643}},
+{2667, 15, 7236, {1, 3, 5, 11, 7, 47, 111, 197, 459, 941, 1619, 2119, 2191, 11049, 6811}},
+{2668, 15, 7246, {1, 1, 5, 9, 7, 43, 103, 115, 87, 269, 1235, 77, 5887, 1611, 29041}},
+{2669, 15, 7248, {1, 1, 5, 7, 1, 61, 83, 225, 179, 81, 1145, 2403, 1485, 8967, 20607}},
+{2670, 15, 7254, {1, 3, 3, 1, 25, 47, 27, 157, 359, 803, 1683, 1995, 6445, 13113, 17899}},
+{2671, 15, 7263, {1, 3, 1, 7, 21, 37, 43, 119, 245, 49, 1581, 2275, 3311, 4087, 29765}},
+{2672, 15, 7273, {1, 1, 3, 13, 5, 33, 49, 191, 455, 105, 665, 3855, 3207, 2671, 32203}},
+{2673, 15, 7274, {1, 3, 1, 1, 25, 63, 19, 217, 17, 353, 947, 1951, 4097, 9041, 11921}},
+{2674, 15, 7293, {1, 3, 1, 7, 21, 31, 113, 97, 347, 993, 1799, 3831, 3711, 6193, 1235}},
+{2675, 15, 7297, {1, 1, 1, 5, 3, 63, 11, 203, 425, 445, 1361, 531, 1265, 1755, 11685}},
+{2676, 15, 7310, {1, 3, 1, 7, 13, 29, 23, 85, 57, 467, 1835, 133, 7961, 4175, 2445}},
+{2677, 15, 7315, {1, 1, 1, 15, 23, 27, 37, 5, 123, 913, 1293, 1633, 3113, 5413, 26407}},
+{2678, 15, 7317, {1, 1, 5, 13, 27, 1, 121, 151, 303, 931, 375, 3679, 1863, 12301, 30907}},
+{2679, 15, 7331, {1, 3, 1, 9, 31, 9, 49, 203, 177, 937, 1503, 933, 5867, 12533, 13621}},
+{2680, 15, 7338, {1, 3, 3, 15, 1, 41, 23, 191, 191, 931, 837, 3553, 2611, 4735, 18105}},
+{2681, 15, 7340, {1, 1, 5, 7, 27, 49, 51, 111, 435, 195, 1229, 711, 7145, 14571, 31707}},
+{2682, 15, 7346, {1, 1, 7, 7, 3, 41, 59, 203, 291, 903, 1727, 2757, 1463, 6287, 31535}},
+{2683, 15, 7355, {1, 1, 7, 13, 23, 5, 75, 3, 207, 525, 411, 2133, 2231, 477, 7155}},
+{2684, 15, 7366, {1, 3, 5, 7, 13, 19, 111, 225, 489, 83, 1177, 4077, 4617, 14413, 7133}},
+{2685, 15, 7383, {1, 3, 1, 7, 9, 59, 3, 113, 379, 803, 1289, 3347, 4127, 6669, 14867}},
+{2686, 15, 7389, {1, 3, 7, 3, 31, 37, 87, 79, 399, 749, 995, 1611, 3137, 12543, 31955}},
+{2687, 15, 7393, {1, 1, 5, 7, 21, 59, 49, 45, 511, 639, 1033, 2169, 3265, 15001, 10745}},
+{2688, 15, 7396, {1, 1, 5, 1, 25, 19, 23, 203, 11, 883, 1031, 4087, 5059, 11321, 21675}},
+{2689, 15, 7400, {1, 3, 7, 5, 11, 27, 33, 205, 163, 289, 501, 3505, 1515, 1895, 15889}},
+{2690, 15, 7414, {1, 3, 1, 1, 23, 7, 39, 239, 29, 119, 1499, 2071, 6495, 12107, 5339}},
+{2691, 15, 7417, {1, 3, 1, 1, 23, 29, 55, 181, 327, 905, 427, 1033, 427, 3687, 5367}},
+{2692, 15, 7426, {1, 3, 3, 7, 21, 27, 115, 127, 393, 855, 1291, 2121, 381, 9995, 29757}},
+{2693, 15, 7432, {1, 3, 5, 1, 25, 13, 15, 183, 269, 1005, 1531, 3451, 3975, 9479, 23695}},
+{2694, 15, 7452, {1, 3, 7, 7, 19, 31, 111, 97, 33, 179, 1343, 2069, 977, 5043, 9129}},
+{2695, 15, 7468, {1, 3, 1, 5, 17, 57, 99, 129, 379, 829, 837, 1845, 3613, 7351, 19291}},
+{2696, 15, 7488, {1, 3, 3, 5, 31, 23, 119, 229, 135, 389, 9, 705, 6697, 15441, 5303}},
+{2697, 15, 7491, {1, 1, 1, 11, 25, 31, 105, 95, 5, 931, 789, 375, 7543, 9957, 28627}},
+{2698, 15, 7494, {1, 1, 7, 15, 21, 17, 19, 103, 389, 545, 1725, 2867, 4251, 3829, 6907}},
+{2699, 15, 7497, {1, 3, 7, 7, 15, 37, 97, 65, 337, 409, 1649, 2869, 7929, 8905, 21989}},
+{2700, 15, 7515, {1, 3, 5, 3, 11, 15, 69, 29, 353, 207, 233, 411, 2047, 10303, 31655}},
+{2701, 15, 7531, {1, 3, 3, 7, 27, 43, 125, 107, 69, 981, 215, 1955, 3589, 597, 12703}},
+{2702, 15, 7552, {1, 1, 7, 9, 25, 13, 109, 73, 227, 663, 1115, 285, 471, 3359, 15787}},
+{2703, 15, 7562, {1, 3, 7, 5, 1, 45, 7, 79, 441, 149, 701, 1457, 6595, 14829, 20865}},
+{2704, 15, 7564, {1, 3, 7, 15, 15, 47, 83, 239, 295, 23, 1085, 813, 1209, 3573, 2855}},
+{2705, 15, 7569, {1, 1, 3, 15, 13, 7, 59, 67, 255, 537, 1841, 3857, 6821, 15175, 13997}},
+{2706, 15, 7582, {1, 3, 1, 1, 9, 57, 59, 21, 21, 41, 1693, 2805, 7953, 1389, 14105}},
+{2707, 15, 7585, {1, 3, 5, 15, 19, 49, 107, 117, 99, 607, 145, 53, 1863, 9383, 12029}},
+{2708, 15, 7588, {1, 3, 3, 13, 1, 39, 5, 141, 503, 265, 281, 1785, 2673, 6597, 6333}},
+{2709, 15, 7592, {1, 1, 5, 3, 3, 19, 3, 181, 169, 269, 955, 2399, 3157, 11053, 8563}},
+{2710, 15, 7597, {1, 3, 3, 13, 11, 1, 95, 43, 179, 507, 443, 209, 3239, 14239, 21829}},
+{2711, 15, 7603, {1, 1, 7, 9, 3, 17, 99, 179, 445, 479, 1897, 1507, 5753, 4757, 2135}},
+{2712, 15, 7610, {1, 3, 3, 1, 9, 51, 29, 13, 295, 291, 927, 85, 5707, 7447, 32319}},
+{2713, 15, 7624, {1, 1, 1, 3, 13, 11, 21, 157, 213, 327, 1071, 591, 2639, 15405, 6617}},
+{2714, 15, 7642, {1, 3, 5, 1, 7, 25, 55, 47, 495, 681, 727, 2707, 2955, 705, 7489}},
+{2715, 15, 7647, {1, 1, 3, 9, 17, 3, 73, 67, 465, 367, 1473, 3195, 7825, 5299, 1817}},
+{2716, 15, 7653, {1, 1, 1, 1, 19, 31, 77, 253, 71, 599, 1601, 871, 2243, 6699, 13013}},
+{2717, 15, 7654, {1, 1, 7, 9, 21, 1, 71, 115, 5, 65, 767, 925, 7901, 10761, 19431}},
+{2718, 15, 7666, {1, 3, 1, 7, 23, 31, 31, 15, 105, 391, 585, 2995, 2635, 10607, 24951}},
+{2719, 15, 7668, {1, 3, 3, 1, 19, 25, 71, 211, 41, 197, 787, 225, 6781, 813, 10117}},
+{2720, 15, 7684, {1, 3, 3, 3, 17, 29, 3, 153, 231, 643, 1151, 447, 3699, 9625, 26677}},
+{2721, 15, 7705, {1, 1, 5, 9, 1, 25, 71, 21, 395, 297, 557, 3841, 233, 1877, 4569}},
+{2722, 15, 7732, {1, 1, 3, 13, 1, 45, 115, 61, 5, 937, 173, 2109, 2927, 9599, 9155}},
+{2723, 15, 7741, {1, 1, 3, 3, 15, 21, 61, 121, 253, 285, 1083, 3545, 5537, 6773, 2629}},
+{2724, 15, 7749, {1, 3, 3, 15, 13, 63, 33, 77, 49, 849, 1795, 2771, 5481, 9833, 603}},
+{2725, 15, 7750, {1, 1, 7, 5, 1, 39, 113, 237, 225, 1005, 1687, 2297, 3213, 2605, 14669}},
+{2726, 15, 7759, {1, 1, 3, 1, 11, 1, 39, 23, 67, 441, 1235, 2545, 3139, 15901, 29243}},
+{2727, 15, 7764, {1, 3, 1, 3, 15, 49, 39, 57, 311, 345, 525, 223, 4923, 6311, 25275}},
+{2728, 15, 7777, {1, 1, 5, 7, 9, 13, 69, 11, 349, 423, 1773, 1055, 1001, 9359, 17025}},
+{2729, 15, 7790, {1, 1, 1, 13, 15, 63, 89, 207, 335, 591, 1223, 2701, 55, 12471, 13127}},
+{2730, 15, 7817, {1, 1, 3, 5, 15, 19, 83, 67, 407, 113, 1961, 779, 5803, 12417, 21751}},
+{2731, 15, 7826, {1, 3, 3, 1, 21, 53, 81, 95, 405, 427, 1047, 2443, 4153, 5843, 22511}},
+{2732, 15, 7831, {1, 1, 7, 7, 7, 25, 115, 155, 453, 537, 741, 2379, 2343, 16035, 19587}},
+{2733, 15, 7859, {1, 3, 3, 11, 27, 21, 111, 121, 503, 437, 803, 3399, 5303, 10163, 18199}},
+{2734, 15, 7871, {1, 1, 5, 13, 19, 27, 7, 81, 259, 545, 965, 743, 4533, 8813, 21253}},
+{2735, 15, 7873, {1, 1, 5, 5, 1, 59, 37, 11, 105, 343, 75, 1319, 6317, 9593, 1699}},
+{2736, 15, 7876, {1, 3, 1, 9, 13, 9, 115, 131, 387, 1023, 253, 693, 5191, 12777, 10565}},
+{2737, 15, 7900, {1, 3, 1, 15, 7, 35, 111, 195, 287, 305, 533, 1901, 3363, 10085, 30791}},
+{2738, 15, 7904, {1, 1, 3, 9, 27, 51, 21, 77, 413, 925, 717, 791, 4147, 585, 5649}},
+{2739, 15, 7913, {1, 3, 3, 5, 25, 59, 79, 249, 185, 567, 71, 1997, 7373, 2327, 18637}},
+{2740, 15, 7916, {1, 3, 3, 11, 15, 21, 97, 99, 391, 57, 1973, 29, 7451, 2529, 25737}},
+{2741, 15, 7922, {1, 3, 7, 5, 7, 59, 93, 5, 287, 469, 1639, 3637, 5465, 14431, 32265}},
+{2742, 15, 7946, {1, 1, 3, 11, 3, 1, 71, 75, 427, 299, 811, 3697, 3529, 5433, 26957}},
+{2743, 15, 7953, {1, 3, 1, 9, 19, 59, 37, 255, 165, 1005, 19, 2851, 4309, 455, 9485}},
+{2744, 15, 7956, {1, 1, 1, 5, 1, 55, 15, 233, 133, 47, 1831, 713, 2601, 1017, 3201}},
+{2745, 15, 7963, {1, 1, 5, 5, 21, 55, 127, 69, 377, 41, 25, 2295, 7595, 4733, 11615}},
+{2746, 15, 7979, {1, 1, 5, 3, 23, 5, 7, 181, 161, 775, 1095, 2271, 6637, 14489, 6873}},
+{2747, 15, 7981, {1, 3, 5, 9, 9, 15, 5, 133, 357, 21, 127, 2685, 6299, 4363, 17573}},
+{2748, 15, 7984, {1, 3, 3, 9, 13, 39, 51, 223, 201, 401, 1839, 2461, 7633, 6039, 10445}},
+{2749, 15, 7989, {1, 1, 5, 1, 9, 21, 19, 249, 227, 359, 255, 2895, 4117, 2073, 27687}},
+{2750, 15, 7999, {1, 1, 5, 15, 5, 61, 113, 161, 95, 3, 877, 2775, 293, 6655, 4023}},
+{2751, 15, 8001, {1, 3, 7, 1, 7, 55, 73, 39, 295, 403, 985, 2315, 1667, 13525, 1453}},
+{2752, 15, 8021, {1, 1, 5, 1, 27, 1, 85, 195, 11, 713, 1841, 3895, 3131, 2193, 17607}},
+{2753, 15, 8056, {1, 3, 5, 13, 25, 1, 119, 97, 239, 167, 1393, 1753, 6989, 12155, 12509}},
+{2754, 15, 8080, {1, 1, 7, 15, 31, 21, 41, 255, 425, 445, 165, 2097, 5627, 4971, 13207}},
+{2755, 15, 8083, {1, 1, 1, 15, 13, 33, 81, 105, 453, 197, 13, 1547, 7381, 8709, 15103}},
+{2756, 15, 8089, {1, 1, 3, 11, 11, 33, 107, 123, 483, 367, 121, 995, 1911, 8205, 22577}},
+{2757, 15, 8090, {1, 1, 1, 9, 9, 43, 71, 49, 273, 431, 1705, 3313, 4259, 16291, 14345}},
+{2758, 15, 8114, {1, 1, 1, 7, 3, 1, 43, 213, 97, 547, 1559, 1149, 2791, 3751, 887}},
+{2759, 15, 8128, {1, 1, 3, 15, 25, 47, 49, 251, 425, 35, 295, 3767, 6305, 9633, 5045}},
+{2760, 15, 8133, {1, 3, 3, 1, 5, 55, 91, 245, 27, 981, 331, 555, 6553, 11017, 15289}},
+{2761, 15, 8145, {1, 1, 3, 7, 1, 23, 23, 155, 223, 565, 1005, 3211, 3847, 7479, 3643}},
+{2762, 15, 8155, {1, 1, 5, 1, 17, 7, 47, 95, 35, 779, 1685, 2099, 7505, 15425, 18089}},
+{2763, 15, 8161, {1, 3, 3, 7, 3, 63, 83, 151, 211, 147, 611, 1171, 1681, 7687, 13423}},
+{2764, 15, 8182, {1, 3, 3, 1, 3, 27, 107, 117, 497, 537, 195, 3075, 2753, 1665, 19399}},
+{2765, 15, 8186, {1, 1, 1, 7, 23, 5, 103, 209, 117, 845, 1243, 1283, 4253, 9723, 20937}},
+{2766, 15, 8191, {1, 3, 1, 1, 5, 49, 7, 13, 419, 125, 287, 1599, 8161, 1275, 24661}},
+{2767, 15, 8192, {1, 3, 3, 3, 13, 63, 23, 183, 39, 979, 1301, 2349, 905, 15805, 30151}},
+{2768, 15, 8195, {1, 1, 3, 9, 17, 11, 97, 189, 189, 511, 1779, 2077, 6891, 11623, 23949}},
+{2769, 15, 8201, {1, 1, 7, 11, 13, 45, 15, 37, 11, 853, 915, 1569, 6103, 10633, 3137}},
+{2770, 15, 8207, {1, 3, 3, 5, 15, 61, 91, 255, 131, 821, 1755, 1501, 2663, 1747, 941}},
+{2771, 15, 8210, {1, 1, 3, 7, 19, 19, 65, 95, 499, 239, 2023, 3185, 4649, 3861, 3767}},
+{2772, 15, 8228, {1, 3, 5, 15, 15, 63, 55, 93, 127, 303, 171, 1763, 4991, 9479, 9917}},
+{2773, 15, 8249, {1, 3, 7, 5, 31, 53, 111, 35, 433, 163, 1903, 3991, 3585, 643, 21941}},
+{2774, 15, 8252, {1, 3, 1, 9, 27, 39, 67, 89, 487, 349, 587, 1723, 4311, 11321, 25785}},
+{2775, 15, 8258, {1, 3, 5, 7, 1, 63, 23, 237, 507, 689, 1341, 441, 1721, 843, 20335}},
+{2776, 15, 8267, {1, 1, 3, 3, 31, 63, 83, 103, 25, 799, 1379, 1817, 3809, 12285, 16673}},
+{2777, 15, 8270, {1, 1, 5, 3, 25, 29, 99, 193, 21, 549, 33, 3109, 4135, 10071, 32355}},
+{2778, 15, 8275, {1, 3, 1, 7, 13, 27, 83, 189, 121, 167, 379, 1503, 7955, 13189, 313}},
+{2779, 15, 8284, {1, 3, 5, 15, 25, 19, 83, 87, 257, 237, 709, 1169, 1561, 7117, 4785}},
+{2780, 15, 8293, {1, 1, 1, 7, 9, 55, 21, 5, 439, 367, 403, 2311, 6243, 8349, 13127}},
+{2781, 15, 8298, {1, 3, 7, 3, 5, 35, 51, 67, 453, 767, 29, 3293, 6665, 11459, 2799}},
+{2782, 15, 8305, {1, 3, 3, 3, 5, 19, 59, 7, 367, 683, 783, 1317, 7119, 6129, 19525}},
+{2783, 15, 8317, {1, 1, 5, 5, 5, 19, 61, 67, 381, 291, 875, 2179, 2481, 9325, 11253}},
+{2784, 15, 8328, {1, 3, 5, 5, 7, 47, 107, 9, 141, 667, 1989, 821, 3909, 1733, 10187}},
+{2785, 15, 8336, {1, 1, 7, 7, 31, 61, 1, 71, 477, 689, 1539, 3617, 8105, 6535, 3293}},
+{2786, 15, 8345, {1, 1, 5, 5, 23, 9, 103, 197, 241, 249, 297, 3607, 6217, 1673, 30103}},
+{2787, 15, 8351, {1, 3, 1, 5, 23, 15, 115, 105, 365, 51, 825, 2687, 359, 16325, 15083}},
+{2788, 15, 8367, {1, 1, 3, 11, 29, 45, 65, 251, 169, 189, 1243, 2345, 1345, 14471, 25631}},
+{2789, 15, 8379, {1, 1, 5, 9, 7, 63, 81, 167, 309, 539, 1169, 3949, 4193, 12047, 1491}},
+{2790, 15, 8381, {1, 3, 1, 9, 29, 33, 89, 167, 67, 73, 1885, 477, 5745, 13365, 6819}},
+{2791, 15, 8382, {1, 3, 7, 9, 9, 49, 95, 13, 157, 997, 1725, 935, 7543, 6349, 18277}},
+{2792, 15, 8393, {1, 1, 5, 5, 11, 59, 97, 17, 303, 469, 93, 2761, 7395, 9021, 24299}},
+{2793, 15, 8402, {1, 1, 7, 3, 27, 63, 71, 99, 407, 139, 711, 2589, 4715, 5405, 3277}},
+{2794, 15, 8414, {1, 3, 7, 3, 11, 15, 49, 57, 271, 493, 1165, 2839, 8191, 2609, 14759}},
+{2795, 15, 8417, {1, 1, 1, 7, 21, 15, 71, 245, 413, 473, 1321, 1165, 1027, 6983, 12867}},
+{2796, 15, 8420, {1, 1, 5, 3, 15, 21, 19, 197, 401, 627, 2047, 2761, 5807, 5751, 28025}},
+{2797, 15, 8429, {1, 1, 3, 3, 5, 57, 19, 209, 341, 165, 489, 455, 231, 14385, 12457}},
+{2798, 15, 8435, {1, 3, 3, 11, 13, 63, 79, 129, 17, 315, 1881, 1069, 177, 12013, 29567}},
+{2799, 15, 8438, {1, 1, 3, 7, 31, 29, 51, 235, 475, 375, 617, 437, 6379, 8505, 23079}},
+{2800, 15, 8450, {1, 1, 3, 7, 27, 3, 3, 137, 203, 959, 363, 371, 2899, 13491, 22979}},
+{2801, 15, 8452, {1, 3, 3, 3, 9, 1, 57, 7, 363, 537, 713, 2417, 509, 7747, 22135}},
+{2802, 15, 8459, {1, 3, 3, 3, 13, 21, 79, 121, 487, 921, 113, 281, 2853, 14855, 19747}},
+{2803, 15, 8470, {1, 1, 1, 11, 3, 53, 89, 123, 307, 585, 567, 1925, 505, 15935, 20419}},
+{2804, 15, 8486, {1, 1, 3, 3, 15, 45, 77, 197, 499, 683, 1405, 3573, 981, 14135, 19763}},
+{2805, 15, 8490, {1, 1, 1, 11, 27, 31, 61, 191, 29, 601, 373, 2011, 6193, 3599, 4387}},
+{2806, 15, 8500, {1, 3, 5, 9, 7, 13, 1, 193, 469, 603, 1315, 3329, 3761, 8355, 10425}},
+{2807, 15, 8524, {1, 1, 3, 9, 29, 61, 103, 17, 117, 251, 2029, 2963, 3763, 16117, 6627}},
+{2808, 15, 8536, {1, 3, 1, 3, 7, 51, 91, 145, 497, 657, 871, 3707, 5905, 10449, 14901}},
+{2809, 15, 8552, {1, 1, 3, 1, 3, 53, 23, 149, 461, 333, 1809, 1315, 1815, 8223, 13297}},
+{2810, 15, 8558, {1, 1, 1, 7, 15, 31, 3, 47, 443, 829, 1305, 893, 4191, 9681, 32661}},
+{2811, 15, 8570, {1, 3, 1, 3, 27, 43, 51, 221, 295, 825, 649, 2953, 6203, 8237, 20253}},
+{2812, 15, 8576, {1, 3, 1, 3, 9, 35, 41, 195, 249, 225, 387, 3789, 1499, 2559, 28413}},
+{2813, 15, 8582, {1, 1, 5, 15, 19, 29, 13, 115, 333, 787, 787, 723, 2987, 6227, 10865}},
+{2814, 15, 8594, {1, 3, 5, 13, 5, 59, 5, 251, 79, 387, 11, 3167, 6619, 13317, 18979}},
+{2815, 15, 8606, {1, 1, 7, 11, 31, 51, 43, 1, 189, 519, 1945, 2129, 4365, 14059, 3139}},
+{2816, 15, 8619, {1, 1, 7, 5, 31, 9, 43, 19, 151, 533, 1061, 3849, 6871, 6941, 14935}},
+{2817, 15, 8621, {1, 3, 7, 5, 19, 57, 7, 129, 25, 353, 17, 1739, 6513, 399, 28835}},
+{2818, 15, 8624, {1, 3, 5, 15, 25, 15, 37, 125, 39, 239, 271, 65, 2189, 10449, 11815}},
+{2819, 15, 8633, {1, 3, 7, 15, 19, 57, 47, 245, 509, 945, 385, 3987, 3585, 14711, 9655}},
+{2820, 15, 8641, {1, 1, 3, 13, 21, 31, 13, 81, 9, 489, 1321, 63, 1363, 2219, 19541}},
+{2821, 15, 8653, {1, 1, 5, 7, 3, 57, 25, 147, 23, 553, 889, 307, 6429, 15807, 12861}},
+{2822, 15, 8654, {1, 1, 3, 15, 29, 21, 99, 237, 151, 881, 675, 3625, 1159, 11759, 21347}},
+{2823, 15, 8662, {1, 1, 7, 1, 9, 13, 111, 239, 235, 609, 1569, 3271, 2837, 13807, 7301}},
+{2824, 15, 8675, {1, 3, 1, 15, 7, 59, 27, 81, 129, 9, 647, 3595, 1877, 1067, 1859}},
+{2825, 15, 8689, {1, 3, 7, 1, 3, 25, 119, 57, 145, 441, 1045, 789, 215, 1265, 9369}},
+{2826, 15, 8695, {1, 3, 7, 3, 17, 25, 87, 211, 441, 229, 223, 2795, 7241, 7007, 20575}},
+{2827, 15, 8702, {1, 1, 3, 1, 13, 1, 55, 227, 389, 141, 1097, 2487, 7603, 4161, 5025}},
+{2828, 15, 8706, {1, 1, 3, 5, 15, 29, 29, 145, 233, 209, 891, 89, 8097, 2897, 26685}},
+{2829, 15, 8720, {1, 1, 3, 1, 29, 53, 19, 95, 161, 359, 435, 3313, 4955, 7965, 21015}},
+{2830, 15, 8729, {1, 3, 5, 9, 19, 3, 109, 77, 29, 937, 1663, 125, 2453, 1069, 20639}},
+{2831, 15, 8739, {1, 3, 7, 13, 5, 23, 43, 231, 347, 591, 1963, 2491, 4045, 16029, 8149}},
+{2832, 15, 8741, {1, 1, 5, 1, 13, 3, 75, 211, 419, 929, 901, 3453, 8121, 799, 8897}},
+{2833, 15, 8751, {1, 1, 7, 15, 11, 11, 123, 111, 309, 415, 1071, 975, 2009, 12945, 19617}},
+{2834, 15, 8759, {1, 1, 1, 7, 31, 35, 81, 255, 89, 643, 451, 513, 497, 11751, 24215}},
+{2835, 15, 8766, {1, 3, 5, 5, 25, 17, 5, 165, 139, 929, 1927, 1353, 7427, 9719, 17087}},
+{2836, 15, 8777, {1, 3, 5, 1, 21, 55, 79, 85, 333, 847, 1305, 851, 5057, 8361, 18269}},
+{2837, 15, 8783, {1, 3, 7, 15, 27, 17, 55, 125, 395, 223, 271, 781, 1639, 10569, 11143}},
+{2838, 15, 8786, {1, 1, 7, 9, 7, 33, 127, 85, 209, 339, 483, 241, 2523, 14951, 6855}},
+{2839, 15, 8795, {1, 1, 3, 9, 5, 19, 9, 183, 435, 343, 1105, 3139, 7617, 1311, 267}},
+{2840, 15, 8802, {1, 1, 5, 1, 15, 53, 11, 63, 113, 241, 855, 3123, 4777, 3495, 23345}},
+{2841, 15, 8814, {1, 3, 1, 5, 19, 29, 119, 205, 167, 683, 289, 1629, 4977, 8981, 6867}},
+{2842, 15, 8821, {1, 3, 1, 1, 31, 63, 95, 159, 267, 231, 863, 3385, 5315, 7267, 13757}},
+{2843, 15, 8828, {1, 3, 5, 11, 19, 21, 53, 41, 125, 179, 533, 1279, 3759, 7073, 13905}},
+{2844, 15, 8831, {1, 3, 5, 9, 17, 7, 27, 67, 97, 809, 1423, 2743, 2859, 16121, 329}},
+{2845, 15, 8837, {1, 3, 1, 15, 1, 41, 59, 155, 509, 51, 1827, 3739, 3879, 13369, 30821}},
+{2846, 15, 8842, {1, 3, 3, 7, 21, 31, 7, 13, 347, 919, 1225, 497, 5051, 3769, 20211}},
+{2847, 15, 8855, {1, 3, 7, 13, 31, 9, 127, 195, 123, 387, 3, 3593, 6623, 9827, 29319}},
+{2848, 15, 8856, {1, 1, 3, 9, 7, 27, 95, 211, 287, 189, 1683, 1999, 7641, 14983, 4699}},
+{2849, 15, 8868, {1, 1, 5, 3, 7, 21, 29, 189, 101, 423, 885, 3275, 6569, 11023, 22265}},
+{2850, 15, 8877, {1, 3, 5, 3, 9, 33, 79, 75, 327, 975, 287, 3025, 2157, 7301, 24447}},
+{2851, 15, 8890, {1, 3, 3, 15, 31, 27, 63, 1, 71, 119, 1151, 517, 6131, 11055, 179}},
+{2852, 15, 8892, {1, 3, 7, 11, 23, 15, 101, 247, 349, 735, 673, 997, 6451, 229, 32103}},
+{2853, 15, 8900, {1, 3, 5, 15, 7, 1, 51, 135, 207, 741, 1831, 1235, 4747, 11915, 22009}},
+{2854, 15, 8909, {1, 3, 1, 13, 9, 31, 19, 221, 465, 681, 627, 2595, 5617, 14201, 30355}},
+{2855, 15, 8912, {1, 1, 3, 1, 13, 49, 55, 155, 11, 885, 1275, 3591, 2217, 6659, 30885}},
+{2856, 15, 8921, {1, 1, 7, 11, 27, 57, 93, 95, 243, 63, 1405, 2049, 7689, 15943, 18503}},
+{2857, 15, 8922, {1, 1, 7, 7, 5, 11, 47, 189, 467, 631, 1665, 2717, 4285, 2087, 1435}},
+{2858, 15, 8927, {1, 1, 3, 11, 7, 27, 127, 3, 231, 757, 435, 2545, 3537, 9127, 19915}},
+{2859, 15, 8943, {1, 1, 5, 13, 5, 29, 85, 127, 339, 875, 497, 1573, 6553, 11983, 18029}},
+{2860, 15, 8948, {1, 3, 1, 1, 21, 3, 15, 91, 231, 683, 1529, 2651, 4147, 13437, 23861}},
+{2861, 15, 8951, {1, 3, 1, 7, 27, 17, 19, 179, 243, 223, 1037, 1501, 5935, 2259, 25185}},
+{2862, 15, 8958, {1, 1, 3, 15, 11, 19, 127, 27, 483, 219, 583, 2555, 531, 3451, 17875}},
+{2863, 15, 8984, {1, 1, 1, 13, 31, 39, 89, 149, 363, 741, 1355, 4067, 3171, 6783, 1799}},
+{2864, 15, 8994, {1, 1, 3, 11, 25, 51, 45, 235, 379, 123, 1701, 725, 1991, 7471, 9833}},
+{2865, 15, 9000, {1, 1, 5, 13, 15, 47, 13, 201, 263, 57, 375, 2963, 7475, 15929, 13775}},
+{2866, 15, 9013, {1, 1, 3, 1, 29, 29, 11, 161, 345, 253, 97, 255, 7267, 2379, 3933}},
+{2867, 15, 9018, {1, 3, 1, 15, 3, 47, 11, 69, 347, 747, 795, 2401, 3367, 2383, 6125}},
+{2868, 15, 9020, {1, 1, 7, 3, 1, 49, 101, 47, 71, 761, 1503, 2619, 191, 8895, 873}},
+{2869, 15, 9031, {1, 3, 3, 5, 25, 41, 93, 85, 427, 109, 1675, 2409, 4317, 9233, 30283}},
+{2870, 15, 9035, {1, 1, 3, 9, 11, 3, 67, 159, 425, 751, 887, 1415, 403, 15977, 10739}},
+{2871, 15, 9045, {1, 1, 5, 13, 9, 1, 9, 103, 481, 601, 931, 1957, 5763, 7095, 27141}},
+{2872, 15, 9052, {1, 1, 3, 15, 29, 13, 43, 33, 297, 269, 1041, 1411, 3461, 12043, 10045}},
+{2873, 15, 9056, {1, 3, 5, 3, 3, 3, 5, 7, 185, 753, 133, 1561, 5595, 13777, 25795}},
+{2874, 15, 9059, {1, 3, 5, 5, 1, 19, 29, 145, 163, 149, 619, 2603, 7757, 10035, 10189}},
+{2875, 15, 9066, {1, 3, 7, 15, 27, 15, 111, 173, 135, 117, 157, 2601, 7919, 12111, 22795}},
+{2876, 15, 9076, {1, 3, 1, 1, 29, 27, 65, 31, 101, 715, 289, 3643, 2335, 6789, 23397}},
+{2877, 15, 9089, {1, 3, 1, 3, 11, 45, 71, 109, 321, 423, 1695, 169, 3075, 12423, 11391}},
+{2878, 15, 9129, {1, 1, 3, 9, 13, 51, 35, 121, 203, 279, 433, 2725, 7951, 2105, 27333}},
+{2879, 15, 9132, {1, 1, 1, 15, 23, 31, 25, 105, 501, 441, 1511, 3133, 2811, 10595, 21779}},
+{2880, 15, 9147, {1, 1, 5, 13, 7, 1, 97, 193, 121, 993, 1347, 1903, 1883, 6583, 24535}},
+{2881, 15, 9164, {1, 1, 7, 9, 7, 29, 17, 41, 101, 447, 1289, 387, 1891, 2723, 26091}},
+{2882, 15, 9167, {1, 1, 3, 3, 3, 53, 81, 81, 177, 165, 195, 3413, 8177, 3817, 8453}},
+{2883, 15, 9185, {1, 3, 7, 15, 15, 31, 23, 31, 337, 439, 1773, 63, 5351, 5491, 1767}},
+{2884, 15, 9195, {1, 3, 1, 11, 5, 15, 23, 75, 437, 553, 429, 2705, 3625, 13851, 19865}},
+{2885, 15, 9197, {1, 3, 3, 9, 13, 15, 33, 235, 215, 415, 1737, 1409, 2101, 14623, 14717}},
+{2886, 15, 9210, {1, 3, 7, 7, 13, 51, 101, 217, 175, 813, 1639, 4009, 1625, 4991, 17525}},
+{2887, 15, 9217, {1, 1, 5, 13, 23, 33, 29, 175, 39, 673, 557, 3239, 5129, 11049, 27227}},
+{2888, 15, 9229, {1, 3, 7, 13, 1, 37, 33, 139, 493, 891, 1883, 2525, 5741, 15795, 5875}},
+{2889, 15, 9248, {1, 3, 1, 15, 15, 27, 127, 111, 147, 363, 725, 3077, 4341, 9131, 24635}},
+{2890, 15, 9254, {1, 1, 7, 3, 17, 25, 59, 135, 177, 635, 73, 3455, 3083, 6009, 13033}},
+{2891, 15, 9263, {1, 1, 1, 5, 15, 53, 93, 161, 215, 459, 1087, 179, 2235, 8885, 15309}},
+{2892, 15, 9266, {1, 1, 7, 13, 7, 17, 75, 173, 449, 855, 103, 2739, 3421, 11811, 18805}},
+{2893, 15, 9268, {1, 1, 7, 9, 5, 11, 53, 75, 247, 249, 1201, 953, 2455, 4589, 6027}},
+{2894, 15, 9290, {1, 1, 5, 13, 27, 51, 119, 39, 137, 11, 1435, 3773, 3889, 6081, 11829}},
+{2895, 15, 9310, {1, 1, 5, 5, 5, 35, 1, 197, 501, 185, 1039, 1563, 6421, 14373, 25655}},
+{2896, 15, 9316, {1, 1, 3, 13, 31, 55, 115, 183, 483, 655, 1351, 3203, 725, 3299, 22579}},
+{2897, 15, 9338, {1, 3, 5, 11, 31, 31, 83, 59, 395, 21, 1881, 2821, 2251, 11781, 26265}},
+{2898, 15, 9340, {1, 3, 7, 13, 21, 19, 103, 21, 403, 443, 1951, 55, 985, 15983, 15087}},
+{2899, 15, 9343, {1, 1, 5, 15, 29, 11, 51, 53, 255, 183, 1475, 1491, 259, 387, 10303}},
+{2900, 15, 9344, {1, 3, 5, 7, 21, 37, 45, 39, 479, 637, 1325, 3753, 3319, 7403, 31759}},
+{2901, 15, 9350, {1, 1, 3, 5, 7, 43, 89, 53, 269, 187, 995, 141, 119, 8139, 29699}},
+{2902, 15, 9354, {1, 1, 1, 5, 1, 53, 3, 23, 379, 223, 1889, 4035, 1437, 12425, 9051}},
+{2903, 15, 9359, {1, 3, 1, 13, 3, 31, 61, 43, 249, 449, 901, 1921, 3495, 8599, 5263}},
+{2904, 15, 9361, {1, 1, 3, 5, 3, 25, 35, 133, 25, 597, 915, 3663, 5147, 11831, 24269}},
+{2905, 15, 9364, {1, 1, 1, 9, 21, 27, 93, 93, 217, 299, 1881, 3647, 4825, 7989, 24121}},
+{2906, 15, 9368, {1, 3, 1, 15, 5, 15, 49, 129, 315, 631, 2037, 1567, 4043, 15589, 30905}},
+{2907, 15, 9371, {1, 3, 3, 7, 25, 5, 123, 51, 47, 471, 1563, 3947, 7975, 3681, 9611}},
+{2908, 15, 9373, {1, 3, 7, 15, 1, 17, 73, 245, 465, 95, 95, 1159, 1319, 4675, 8841}},
+{2909, 15, 9389, {1, 1, 3, 15, 5, 51, 35, 71, 423, 651, 753, 173, 2131, 15799, 29601}},
+{2910, 15, 9390, {1, 1, 1, 1, 3, 53, 83, 187, 445, 827, 1549, 979, 5363, 1701, 2149}},
+{2911, 15, 9409, {1, 1, 7, 9, 3, 15, 65, 161, 37, 233, 771, 3749, 727, 6857, 17175}},
+{2912, 15, 9443, {1, 1, 7, 7, 27, 29, 107, 247, 249, 353, 773, 3677, 7273, 5419, 29397}},
+{2913, 15, 9445, {1, 3, 3, 7, 31, 49, 87, 159, 145, 497, 1715, 2115, 5035, 6431, 7245}},
+{2914, 15, 9446, {1, 3, 3, 5, 7, 31, 51, 117, 101, 617, 557, 2551, 6589, 13295, 31975}},
+{2915, 15, 9452, {1, 1, 3, 3, 15, 27, 125, 163, 169, 893, 1771, 25, 5787, 10267, 10297}},
+{2916, 15, 9490, {1, 1, 1, 5, 9, 47, 85, 65, 289, 783, 1105, 4035, 4111, 2589, 24575}},
+{2917, 15, 9492, {1, 3, 3, 13, 23, 33, 7, 49, 301, 531, 1713, 2755, 5543, 8153, 24099}},
+{2918, 15, 9495, {1, 1, 5, 9, 7, 39, 101, 67, 417, 923, 757, 1537, 5553, 12233, 20881}},
+{2919, 15, 9508, {1, 1, 5, 1, 19, 7, 25, 123, 125, 183, 573, 3317, 6867, 871, 17631}},
+{2920, 15, 9523, {1, 1, 3, 15, 19, 13, 117, 41, 129, 715, 1525, 2257, 2179, 10807, 23271}},
+{2921, 15, 9543, {1, 3, 1, 5, 25, 53, 19, 169, 289, 569, 1135, 1967, 7001, 15883, 15113}},
+{2922, 15, 9558, {1, 3, 7, 15, 7, 37, 127, 147, 415, 313, 1541, 1889, 3763, 16199, 12681}},
+{2923, 15, 9567, {1, 1, 3, 9, 1, 35, 95, 137, 237, 951, 899, 3177, 6073, 10655, 31687}},
+{2924, 15, 9580, {1, 1, 5, 5, 29, 57, 45, 253, 297, 529, 1553, 467, 8035, 15675, 21691}},
+{2925, 15, 9585, {1, 3, 7, 15, 25, 41, 59, 81, 87, 985, 1001, 2369, 661, 7551, 11829}},
+{2926, 15, 9591, {1, 1, 7, 9, 27, 21, 7, 233, 309, 67, 701, 2737, 4261, 2467, 15691}},
+{2927, 15, 9611, {1, 3, 7, 1, 19, 55, 47, 155, 333, 101, 517, 1991, 4619, 10435, 27241}},
+{2928, 15, 9613, {1, 1, 7, 3, 23, 35, 7, 125, 157, 537, 933, 3281, 4975, 8969, 27581}},
+{2929, 15, 9614, {1, 1, 3, 7, 19, 53, 81, 103, 461, 435, 777, 335, 5261, 12249, 9695}},
+{2930, 15, 9621, {1, 3, 1, 7, 19, 9, 75, 245, 355, 37, 1855, 1339, 3107, 7251, 16543}},
+{2931, 15, 9631, {1, 1, 1, 3, 5, 35, 39, 223, 113, 423, 1423, 713, 6113, 349, 24147}},
+{2932, 15, 9642, {1, 3, 1, 1, 15, 31, 11, 75, 499, 345, 1253, 2629, 2551, 7483, 25395}},
+{2933, 15, 9656, {1, 1, 3, 11, 25, 25, 3, 211, 185, 45, 1865, 1805, 3303, 11091, 529}},
+{2934, 15, 9661, {1, 3, 1, 1, 9, 21, 7, 165, 107, 641, 1083, 2805, 2099, 5855, 18477}},
+{2935, 15, 9667, {1, 3, 5, 3, 9, 21, 77, 103, 505, 277, 335, 797, 3869, 2957, 1979}},
+{2936, 15, 9694, {1, 3, 5, 15, 31, 23, 77, 247, 303, 891, 1261, 3233, 3495, 13111, 13185}},
+{2937, 15, 9715, {1, 3, 5, 11, 11, 35, 49, 229, 149, 931, 881, 775, 2949, 3141, 29157}},
+{2938, 15, 9722, {1, 1, 3, 5, 19, 57, 23, 95, 347, 221, 195, 3561, 1481, 2063, 3979}},
+{2939, 15, 9738, {1, 3, 5, 3, 13, 1, 23, 173, 431, 29, 421, 3235, 2751, 4447, 28283}},
+{2940, 15, 9745, {1, 1, 5, 13, 23, 3, 1, 9, 327, 855, 1251, 2997, 6129, 4223, 11555}},
+{2941, 15, 9758, {1, 3, 7, 13, 29, 21, 37, 229, 217, 353, 1239, 3955, 491, 12183, 14777}},
+{2942, 15, 9764, {1, 1, 5, 5, 1, 33, 103, 187, 183, 939, 1873, 2633, 6143, 15405, 17353}},
+{2943, 15, 9782, {1, 1, 1, 9, 21, 27, 71, 129, 499, 279, 1181, 4053, 2485, 1961, 30603}},
+{2944, 15, 9791, {1, 1, 3, 15, 21, 37, 45, 201, 221, 187, 727, 1241, 6171, 1383, 22277}},
+{2945, 15, 9793, {1, 3, 7, 5, 21, 17, 67, 177, 323, 601, 633, 865, 6131, 10329, 8689}},
+{2946, 15, 9794, {1, 3, 5, 9, 15, 45, 71, 43, 359, 651, 103, 403, 3249, 11769, 6567}},
+{2947, 15, 9805, {1, 3, 3, 13, 3, 23, 101, 145, 367, 999, 1489, 3673, 2959, 10855, 16029}},
+{2948, 15, 9808, {1, 3, 7, 3, 13, 43, 123, 87, 55, 1015, 141, 2917, 6567, 16025, 25555}},
+{2949, 15, 9811, {1, 3, 1, 3, 17, 7, 21, 161, 41, 889, 1315, 1897, 639, 15451, 3049}},
+{2950, 15, 9817, {1, 3, 5, 15, 27, 33, 55, 17, 81, 431, 325, 909, 3547, 10121, 17815}},
+{2951, 15, 9824, {1, 1, 3, 1, 15, 37, 43, 137, 203, 191, 1129, 1585, 435, 3177, 769}},
+{2952, 15, 9836, {1, 3, 7, 11, 21, 23, 125, 41, 17, 951, 465, 3691, 3465, 13247, 13779}},
+{2953, 15, 9851, {1, 3, 3, 1, 31, 23, 43, 101, 405, 739, 1061, 2955, 5643, 16137, 8763}},
+{2954, 15, 9853, {1, 1, 5, 1, 19, 33, 99, 109, 203, 65, 395, 2775, 1373, 2557, 5875}},
+{2955, 15, 9854, {1, 3, 3, 3, 27, 51, 79, 63, 331, 365, 1071, 1661, 4549, 8561, 1719}},
+{2956, 15, 9877, {1, 3, 3, 9, 3, 17, 53, 161, 141, 489, 1325, 1709, 1381, 5093, 171}},
+{2957, 15, 9881, {1, 1, 7, 15, 9, 3, 95, 237, 197, 949, 7, 1837, 729, 10111, 6637}},
+{2958, 15, 9923, {1, 1, 3, 3, 19, 31, 57, 173, 483, 861, 1001, 1919, 3389, 11777, 20693}},
+{2959, 15, 9935, {1, 3, 1, 9, 27, 13, 113, 177, 75, 925, 949, 119, 4759, 7775, 23033}},
+{2960, 15, 9937, {1, 1, 7, 15, 23, 15, 65, 61, 137, 653, 1843, 323, 379, 15157, 29885}},
+{2961, 15, 9954, {1, 3, 3, 7, 29, 3, 11, 205, 347, 745, 1477, 3929, 5749, 4735, 29435}},
+{2962, 15, 9959, {1, 3, 5, 9, 1, 11, 111, 15, 7, 69, 45, 3607, 1099, 9203, 21301}},
+{2963, 15, 9963, {1, 3, 3, 3, 23, 3, 83, 173, 73, 485, 681, 1867, 3839, 11823, 13339}},
+{2964, 15, 9968, {1, 1, 3, 11, 31, 43, 107, 127, 465, 389, 1595, 427, 1571, 5885, 29569}},
+{2965, 15, 9973, {1, 1, 7, 9, 27, 25, 117, 27, 287, 391, 279, 3247, 35, 12973, 5483}},
+{2966, 15, 9974, {1, 3, 7, 11, 19, 55, 45, 127, 245, 945, 305, 3907, 2455, 3163, 31}},
+{2967, 15, 9980, {1, 1, 7, 11, 15, 17, 65, 15, 37, 207, 1447, 3027, 2281, 6557, 16717}},
+{2968, 15, 9983, {1, 1, 1, 13, 5, 27, 33, 213, 29, 603, 1171, 3235, 2255, 2017, 30999}},
+{2969, 15, 9985, {1, 3, 1, 5, 11, 1, 73, 233, 69, 125, 397, 297, 3337, 6191, 31055}},
+{2970, 15, 10003, {1, 1, 1, 15, 1, 1, 65, 145, 201, 917, 1891, 2999, 4069, 10413, 15819}},
+{2971, 15, 10010, {1, 3, 5, 13, 15, 51, 115, 167, 311, 375, 1069, 2595, 3337, 753, 11903}},
+{2972, 15, 10034, {1, 1, 3, 1, 1, 23, 69, 125, 147, 915, 1945, 411, 979, 13863, 30443}},
+{2973, 15, 10040, {1, 3, 1, 11, 5, 1, 93, 23, 135, 93, 1689, 23, 3519, 4491, 24673}},
+{2974, 15, 10063, {1, 1, 7, 3, 11, 59, 93, 153, 487, 475, 1191, 1455, 5963, 8259, 18811}},
+{2975, 15, 10077, {1, 1, 3, 1, 13, 15, 55, 71, 433, 33, 491, 1835, 5695, 10509, 347}},
+{2976, 15, 10081, {1, 1, 1, 15, 19, 1, 23, 47, 235, 101, 1057, 901, 5477, 7079, 30885}},
+{2977, 15, 10082, {1, 1, 5, 13, 11, 43, 119, 77, 441, 121, 783, 827, 1757, 12751, 31593}},
+{2978, 15, 10084, {1, 3, 7, 11, 19, 17, 37, 225, 329, 231, 515, 1541, 7371, 6355, 10905}},
+{2979, 15, 10088, {1, 1, 5, 13, 7, 11, 35, 215, 345, 577, 147, 2803, 3291, 4631, 5329}},
+{2980, 15, 10091, {1, 1, 3, 9, 21, 55, 113, 251, 25, 221, 1445, 3385, 1589, 4109, 29897}},
+{2981, 15, 10105, {1, 1, 5, 7, 9, 45, 5, 33, 331, 285, 1101, 3131, 2713, 5653, 3823}},
+{2982, 15, 10111, {1, 3, 7, 7, 5, 39, 43, 167, 481, 629, 777, 1827, 4653, 403, 4781}},
+{2983, 15, 10118, {1, 3, 3, 7, 31, 33, 31, 159, 313, 673, 1425, 663, 5819, 1297, 26627}},
+{2984, 15, 10127, {1, 3, 3, 1, 19, 61, 117, 93, 373, 491, 1031, 757, 4185, 771, 7265}},
+{2985, 15, 10135, {1, 1, 7, 9, 3, 45, 65, 223, 437, 41, 1139, 2733, 5963, 2709, 25429}},
+{2986, 15, 10169, {1, 3, 5, 11, 21, 27, 31, 127, 255, 761, 1865, 1319, 6583, 9235, 10717}},
+{2987, 15, 10172, {1, 1, 1, 5, 21, 1, 63, 43, 413, 557, 567, 2893, 8017, 2307, 29525}},
+{2988, 15, 10183, {1, 1, 7, 3, 31, 1, 15, 235, 215, 395, 1971, 469, 5275, 431, 5349}},
+{2989, 15, 10190, {1, 1, 1, 13, 25, 59, 71, 245, 389, 279, 1293, 89, 6551, 10285, 14495}},
+{2990, 15, 10192, {1, 1, 5, 5, 9, 63, 17, 229, 425, 939, 877, 3689, 7229, 6707, 30771}},
+{2991, 15, 10211, {1, 3, 7, 7, 11, 29, 43, 41, 25, 237, 1585, 3735, 2617, 7541, 26243}},
+{2992, 15, 10218, {1, 1, 7, 9, 21, 5, 69, 231, 361, 39, 1695, 3043, 2973, 5487, 12857}},
+{2993, 15, 10228, {1, 1, 5, 3, 17, 63, 91, 217, 407, 133, 1373, 4021, 1737, 10043, 4561}},
+{2994, 15, 10235, {1, 3, 7, 9, 31, 13, 101, 231, 175, 457, 89, 2167, 2725, 8505, 375}},
+{2995, 15, 10242, {1, 1, 3, 15, 31, 11, 27, 211, 347, 291, 1881, 3091, 3307, 5117, 13341}},
+{2996, 15, 10244, {1, 3, 5, 5, 13, 25, 5, 197, 237, 135, 635, 1175, 5085, 14737, 10807}},
+{2997, 15, 10271, {1, 3, 3, 9, 7, 63, 107, 127, 147, 477, 1813, 2619, 8089, 2651, 26549}},
+{2998, 15, 10278, {1, 1, 5, 11, 15, 45, 27, 133, 45, 621, 707, 2679, 5929, 19, 9599}},
+{2999, 15, 10296, {1, 3, 7, 9, 21, 37, 41, 255, 69, 1009, 1999, 367, 6177, 10017, 3549}},
+{3000, 15, 10299, {1, 1, 1, 15, 19, 55, 73, 189, 423, 983, 1811, 2551, 4765, 12077, 18205}},
+{3001, 15, 10307, {1, 1, 5, 7, 17, 13, 25, 225, 463, 471, 631, 1811, 5797, 3235, 32253}},
+{3002, 15, 10309, {1, 3, 7, 1, 29, 7, 123, 187, 331, 735, 1757, 1115, 2077, 15725, 2183}},
+{3003, 15, 10310, {1, 3, 7, 9, 17, 61, 111, 93, 21, 1003, 1905, 3719, 2111, 11845, 6427}},
+{3004, 15, 10314, {1, 3, 7, 7, 17, 21, 51, 59, 115, 723, 2039, 2833, 5969, 5737, 18407}},
+{3005, 15, 10316, {1, 3, 3, 13, 9, 47, 95, 233, 13, 281, 1049, 619, 405, 16205, 20097}},
+{3006, 15, 10321, {1, 3, 7, 13, 9, 41, 11, 171, 453, 713, 587, 1669, 2489, 10277, 18599}},
+{3007, 15, 10328, {1, 3, 3, 13, 21, 41, 123, 173, 511, 399, 859, 1515, 5773, 12535, 26289}},
+{3008, 15, 10338, {1, 1, 7, 15, 11, 3, 113, 111, 73, 7, 1191, 2573, 7713, 465, 27615}},
+{3009, 15, 10343, {1, 1, 7, 15, 5, 5, 39, 11, 489, 13, 1041, 1639, 7879, 11899, 6899}},
+{3010, 15, 10344, {1, 1, 5, 9, 27, 31, 15, 237, 401, 795, 1675, 2361, 7333, 12507, 14627}},
+{3011, 15, 10347, {1, 3, 1, 7, 21, 53, 31, 81, 189, 683, 1283, 419, 7585, 9207, 15053}},
+{3012, 15, 10352, {1, 3, 5, 11, 21, 1, 49, 251, 403, 489, 1235, 429, 4855, 4081, 17575}},
+{3013, 15, 10364, {1, 3, 1, 15, 29, 33, 77, 53, 105, 731, 749, 2677, 3967, 7967, 18723}},
+{3014, 15, 10373, {1, 3, 3, 11, 9, 47, 11, 95, 137, 923, 599, 1585, 1969, 9625, 19171}},
+{3015, 15, 10386, {1, 1, 1, 5, 7, 7, 85, 49, 339, 883, 261, 2125, 3831, 9797, 16395}},
+{3016, 15, 10391, {1, 3, 3, 3, 5, 9, 33, 99, 75, 889, 101, 2099, 6635, 11511, 21573}},
+{3017, 15, 10398, {1, 1, 5, 11, 1, 11, 79, 49, 7, 131, 471, 1235, 3287, 14777, 12053}},
+{3018, 15, 10408, {1, 1, 5, 15, 9, 9, 83, 15, 21, 899, 1785, 2349, 3471, 6723, 1405}},
+{3019, 15, 10413, {1, 3, 5, 11, 1, 7, 121, 223, 509, 859, 1037, 491, 5529, 481, 17029}},
+{3020, 15, 10422, {1, 1, 7, 5, 17, 35, 91, 171, 113, 65, 423, 2371, 5105, 12827, 31087}},
+{3021, 15, 10445, {1, 1, 3, 3, 21, 47, 55, 11, 159, 51, 263, 2113, 661, 9147, 28929}},
+{3022, 15, 10460, {1, 1, 1, 9, 19, 7, 43, 223, 207, 787, 543, 2141, 4247, 7369, 29031}},
+{3023, 15, 10463, {1, 1, 7, 11, 11, 51, 121, 9, 211, 905, 687, 889, 1827, 13395, 3507}},
+{3024, 15, 10464, {1, 3, 1, 7, 15, 23, 5, 139, 469, 569, 33, 3477, 5391, 13665, 17011}},
+{3025, 15, 10474, {1, 1, 1, 15, 29, 29, 29, 201, 63, 1019, 97, 1671, 9, 4617, 19833}},
+{3026, 15, 10476, {1, 1, 5, 15, 25, 5, 67, 225, 189, 919, 1471, 1451, 5017, 16189, 31555}},
+{3027, 15, 10487, {1, 3, 5, 5, 15, 51, 89, 221, 149, 863, 43, 2381, 1767, 8037, 5319}},
+{3028, 15, 10494, {1, 3, 3, 1, 15, 17, 5, 77, 69, 27, 1883, 63, 5987, 1497, 3723}},
+{3029, 15, 10499, {1, 3, 7, 11, 7, 5, 113, 229, 123, 709, 1531, 641, 6655, 14923, 22947}},
+{3030, 15, 10506, {1, 3, 1, 13, 21, 15, 45, 175, 81, 499, 1113, 587, 7573, 11689, 15651}},
+{3031, 15, 10513, {1, 3, 1, 1, 29, 43, 101, 37, 131, 757, 465, 743, 2737, 8063, 23967}},
+{3032, 15, 10516, {1, 1, 7, 13, 9, 21, 39, 177, 51, 691, 2047, 1519, 6137, 5271, 8703}},
+{3033, 15, 10523, {1, 1, 3, 3, 5, 55, 63, 21, 3, 317, 461, 527, 2673, 16211, 6721}},
+{3034, 15, 10539, {1, 3, 5, 5, 5, 47, 7, 241, 387, 589, 323, 203, 7241, 14761, 13287}},
+{3035, 15, 10549, {1, 3, 5, 3, 23, 63, 55, 61, 231, 1023, 1315, 1181, 243, 7389, 25639}},
+{3036, 15, 10550, {1, 1, 7, 13, 31, 43, 41, 81, 127, 887, 1513, 4055, 1361, 2443, 6963}},
+{3037, 15, 10567, {1, 1, 1, 5, 7, 43, 43, 33, 323, 911, 1373, 3053, 6503, 513, 6457}},
+{3038, 15, 10576, {1, 1, 7, 11, 25, 61, 21, 149, 205, 349, 1433, 1587, 149, 7275, 5465}},
+{3039, 15, 10625, {1, 3, 5, 5, 11, 9, 31, 217, 119, 511, 209, 3325, 2023, 2877, 463}},
+{3040, 15, 10635, {1, 3, 5, 15, 21, 47, 89, 41, 347, 849, 1375, 3311, 807, 11443, 27643}},
+{3041, 15, 10643, {1, 1, 5, 7, 29, 43, 123, 191, 321, 373, 447, 2145, 1221, 2071, 12689}},
+{3042, 15, 10656, {1, 3, 5, 15, 1, 21, 43, 141, 461, 779, 1109, 2915, 909, 8585, 19859}},
+{3043, 15, 10671, {1, 3, 3, 11, 5, 17, 57, 13, 393, 661, 1761, 2455, 43, 8593, 20505}},
+{3044, 15, 10676, {1, 3, 5, 1, 31, 47, 65, 249, 77, 513, 851, 2381, 3447, 693, 7729}},
+{3045, 15, 10683, {1, 3, 5, 15, 31, 19, 83, 47, 369, 697, 1815, 819, 7573, 9245, 8013}},
+{3046, 15, 10685, {1, 3, 5, 5, 11, 25, 27, 151, 107, 339, 299, 3869, 3393, 5661, 2947}},
+{3047, 15, 10688, {1, 1, 3, 1, 1, 59, 85, 57, 175, 465, 239, 3115, 7157, 7035, 11463}},
+{3048, 15, 10697, {1, 1, 7, 5, 31, 41, 53, 149, 121, 743, 189, 159, 5289, 2945, 1179}},
+{3049, 15, 10700, {1, 3, 3, 15, 23, 51, 83, 25, 159, 163, 61, 713, 4529, 5253, 1603}},
+{3050, 15, 10712, {1, 3, 5, 11, 7, 29, 15, 177, 507, 695, 1305, 1863, 7525, 3063, 27433}},
+{3051, 15, 10724, {1, 1, 3, 11, 5, 41, 115, 227, 409, 951, 591, 4003, 7717, 4369, 15637}},
+{3052, 15, 10728, {1, 1, 7, 11, 23, 55, 71, 135, 51, 411, 2003, 2375, 6823, 1711, 4443}},
+{3053, 15, 10734, {1, 3, 1, 3, 31, 47, 31, 233, 243, 3, 313, 1649, 6955, 13679, 32327}},
+{3054, 15, 10739, {1, 1, 3, 11, 29, 9, 1, 79, 247, 677, 685, 3107, 5987, 9675, 29523}},
+{3055, 15, 10762, {1, 1, 1, 7, 25, 31, 39, 241, 483, 839, 1143, 437, 2317, 2437, 173}},
+{3056, 15, 10772, {1, 1, 5, 1, 17, 19, 83, 57, 39, 479, 715, 1911, 1091, 10937, 22145}},
+{3057, 15, 10781, {1, 1, 7, 1, 27, 45, 35, 55, 477, 719, 217, 3349, 7717, 6853, 9699}},
+{3058, 15, 10800, {1, 3, 1, 11, 9, 39, 25, 223, 303, 713, 151, 2611, 4629, 5855, 31729}},
+{3059, 15, 10805, {1, 1, 1, 11, 13, 35, 53, 39, 167, 779, 1673, 1221, 6281, 15113, 32027}},
+{3060, 15, 10827, {1, 1, 5, 9, 19, 63, 89, 113, 199, 107, 1015, 835, 2879, 9499, 25597}},
+{3061, 15, 10830, {1, 1, 7, 3, 19, 37, 15, 23, 449, 641, 1811, 3407, 6775, 6283, 31157}},
+{3062, 15, 10837, {1, 1, 3, 1, 19, 15, 31, 99, 511, 897, 1693, 2093, 955, 15897, 26693}},
+{3063, 15, 10841, {1, 1, 5, 1, 5, 15, 47, 19, 441, 541, 1621, 3877, 6407, 15991, 1931}},
+{3064, 15, 10847, {1, 3, 5, 9, 21, 61, 15, 77, 265, 351, 879, 3835, 6555, 2349, 23235}},
+{3065, 15, 10848, {1, 1, 5, 11, 25, 37, 29, 181, 341, 641, 1213, 1319, 6359, 6231, 32573}},
+{3066, 15, 10857, {1, 1, 1, 7, 1, 37, 87, 123, 33, 913, 111, 2613, 4895, 12595, 26633}},
+{3067, 15, 10866, {1, 3, 5, 3, 27, 11, 45, 89, 183, 241, 1355, 783, 3343, 239, 8643}},
+{3068, 15, 10868, {1, 3, 7, 7, 9, 35, 67, 187, 233, 577, 1445, 3063, 6039, 16233, 1453}},
+{3069, 15, 10872, {1, 1, 3, 13, 27, 11, 23, 15, 95, 63, 1931, 911, 8149, 6833, 3051}},
+{3070, 15, 10887, {1, 3, 3, 5, 29, 49, 125, 117, 47, 143, 423, 3215, 3605, 3677, 17155}},
+{3071, 15, 10899, {1, 3, 1, 1, 31, 1, 123, 195, 83, 893, 1947, 339, 2927, 7183, 15443}},
+{3072, 15, 10901, {1, 1, 7, 13, 31, 15, 91, 207, 39, 275, 439, 2617, 3093, 11041, 24997}},
+{3073, 15, 10915, {1, 1, 5, 3, 3, 41, 13, 67, 361, 497, 25, 3807, 3551, 9681, 21043}},
+{3074, 15, 10924, {1, 3, 3, 3, 11, 27, 103, 59, 427, 327, 1705, 29, 8127, 1641, 20847}},
+{3075, 15, 10929, {1, 3, 7, 5, 3, 37, 81, 137, 225, 101, 187, 3067, 2491, 12687, 16227}},
+{3076, 15, 10942, {1, 3, 5, 15, 15, 33, 69, 223, 225, 771, 1917, 2293, 2889, 12083, 23971}},
+{3077, 15, 10971, {1, 1, 3, 5, 11, 9, 121, 81, 203, 425, 1189, 2011, 3041, 3247, 739}},
+{3078, 15, 10992, {1, 3, 1, 1, 13, 9, 39, 169, 437, 571, 1481, 3355, 3895, 8975, 31031}},
+{3079, 15, 10995, {1, 3, 1, 11, 1, 43, 35, 35, 293, 11, 657, 1415, 5021, 14463, 17945}},
+{3080, 15, 11002, {1, 1, 5, 5, 13, 47, 91, 15, 159, 23, 971, 3575, 757, 13477, 31757}},
+{3081, 15, 11010, {1, 1, 7, 1, 5, 63, 69, 27, 71, 129, 123, 3767, 89, 7865, 1189}},
+{3082, 15, 11027, {1, 3, 3, 5, 23, 1, 83, 3, 487, 491, 217, 2583, 3889, 15009, 9227}},
+{3083, 15, 11029, {1, 3, 5, 15, 25, 1, 73, 107, 245, 191, 1449, 571, 1403, 6953, 17457}},
+{3084, 15, 11045, {1, 3, 3, 3, 27, 19, 25, 105, 207, 857, 1161, 3657, 2107, 7955, 517}},
+{3085, 15, 11057, {1, 3, 3, 9, 21, 29, 5, 103, 219, 35, 3, 1635, 4815, 15797, 29839}},
+{3086, 15, 11070, {1, 1, 7, 7, 3, 63, 75, 77, 13, 57, 603, 2333, 7761, 14397, 10875}},
+{3087, 15, 11092, {1, 3, 7, 13, 3, 11, 5, 255, 1, 947, 1695, 1927, 7447, 7407, 20797}},
+{3088, 15, 11099, {1, 1, 5, 1, 1, 21, 105, 73, 429, 973, 1801, 3943, 6161, 1309, 3359}},
+{3089, 15, 11106, {1, 1, 3, 15, 27, 9, 9, 129, 117, 545, 9, 1983, 6351, 10925, 27337}},
+{3090, 15, 11115, {1, 3, 3, 5, 5, 5, 13, 155, 503, 875, 1243, 2259, 3445, 11953, 6517}},
+{3091, 15, 11120, {1, 1, 7, 3, 29, 21, 121, 147, 413, 423, 1887, 2429, 2765, 16335, 3071}},
+{3092, 15, 11126, {1, 1, 7, 9, 5, 53, 41, 137, 463, 583, 1627, 1731, 6675, 3703, 8177}},
+{3093, 15, 11153, {1, 3, 5, 11, 31, 29, 67, 159, 425, 25, 1457, 139, 5019, 701, 7357}},
+{3094, 15, 11190, {1, 3, 1, 5, 25, 15, 123, 123, 245, 859, 249, 2175, 2137, 5765, 4873}},
+{3095, 15, 11199, {1, 1, 3, 5, 23, 1, 111, 111, 111, 469, 1473, 1777, 3579, 13503, 2569}},
+{3096, 15, 11222, {1, 1, 7, 3, 17, 23, 51, 23, 499, 135, 713, 3317, 807, 9589, 11349}},
+{3097, 15, 11225, {1, 1, 1, 15, 9, 51, 75, 159, 359, 773, 1521, 2913, 5901, 3047, 14649}},
+{3098, 15, 11226, {1, 1, 3, 1, 13, 61, 117, 195, 49, 267, 57, 1769, 3621, 9415, 29443}},
+{3099, 15, 11231, {1, 3, 7, 11, 3, 25, 33, 31, 315, 191, 359, 3399, 2481, 13831, 20205}},
+{3100, 15, 11244, {1, 3, 3, 5, 31, 43, 35, 125, 291, 51, 1469, 3857, 1707, 2641, 32137}},
+{3101, 15, 11259, {1, 3, 5, 1, 25, 11, 113, 137, 211, 159, 1667, 939, 6439, 5337, 32059}},
+{3102, 15, 11261, {1, 3, 3, 11, 31, 61, 99, 49, 383, 343, 395, 51, 6931, 16039, 5901}},
+{3103, 15, 11270, {1, 1, 3, 5, 9, 63, 63, 49, 405, 915, 1505, 2141, 6749, 7799, 17313}},
+{3104, 15, 11273, {1, 3, 7, 11, 15, 11, 49, 161, 155, 869, 121, 301, 6561, 4279, 15233}},
+{3105, 15, 11300, {1, 1, 5, 13, 19, 13, 103, 59, 503, 293, 701, 2527, 5327, 13927, 5025}},
+{3106, 15, 11307, {1, 1, 7, 1, 1, 37, 55, 155, 485, 399, 855, 2677, 5927, 9657, 2795}},
+{3107, 15, 11318, {1, 1, 1, 5, 19, 15, 121, 69, 385, 75, 1567, 2649, 5601, 12981, 15903}},
+{3108, 15, 11332, {1, 1, 1, 11, 19, 21, 45, 59, 505, 737, 15, 1383, 1177, 8375, 15557}},
+{3109, 15, 11335, {1, 1, 7, 13, 29, 19, 123, 127, 469, 773, 733, 3289, 8087, 5803, 27897}},
+{3110, 15, 11341, {1, 3, 3, 11, 19, 55, 101, 67, 485, 939, 607, 1521, 6161, 12235, 16499}},
+{3111, 15, 11347, {1, 3, 5, 13, 29, 31, 31, 9, 453, 151, 1055, 3873, 405, 12877, 29829}},
+{3112, 15, 11354, {1, 3, 5, 1, 17, 1, 17, 131, 107, 1003, 1749, 1849, 6207, 2153, 21275}},
+{3113, 15, 11360, {1, 3, 7, 15, 7, 25, 51, 143, 51, 517, 1841, 1771, 5389, 4633, 11123}},
+{3114, 15, 11369, {1, 3, 7, 11, 23, 7, 89, 95, 403, 361, 835, 585, 2783, 8091, 5141}},
+{3115, 15, 11372, {1, 3, 1, 9, 1, 53, 115, 11, 493, 587, 305, 3605, 1711, 4169, 20013}},
+{3116, 15, 11378, {1, 3, 7, 3, 17, 59, 55, 251, 49, 759, 1227, 3685, 7765, 1445, 20385}},
+{3117, 15, 11396, {1, 1, 5, 7, 29, 55, 19, 157, 129, 927, 893, 1235, 1955, 8153, 2865}},
+{3118, 15, 11405, {1, 3, 1, 15, 21, 35, 81, 53, 175, 939, 1635, 3597, 747, 14011, 12867}},
+{3119, 15, 11417, {1, 3, 7, 1, 27, 61, 91, 73, 405, 677, 603, 2715, 7099, 941, 24523}},
+{3120, 15, 11424, {1, 3, 5, 9, 13, 45, 35, 167, 57, 483, 735, 2777, 7847, 6257, 13109}},
+{3121, 15, 11427, {1, 3, 5, 7, 1, 3, 97, 13, 159, 533, 1791, 1061, 981, 10795, 26165}},
+{3122, 15, 11430, {1, 1, 5, 13, 27, 5, 125, 25, 251, 221, 1909, 197, 6987, 11537, 15287}},
+{3123, 15, 11439, {1, 3, 5, 5, 27, 15, 1, 131, 375, 923, 81, 3153, 6071, 2515, 23729}},
+{3124, 15, 11442, {1, 3, 3, 9, 9, 23, 71, 13, 465, 261, 937, 1549, 5993, 11325, 15065}},
+{3125, 15, 11448, {1, 3, 1, 3, 7, 63, 17, 129, 435, 23, 215, 2251, 1561, 9703, 26483}},
+{3126, 15, 11461, {1, 1, 3, 1, 5, 53, 77, 109, 9, 605, 371, 2081, 6023, 7145, 15837}},
+{3127, 15, 11468, {1, 3, 7, 11, 27, 39, 115, 47, 259, 337, 1857, 3465, 1549, 7747, 8525}},
+{3128, 15, 11471, {1, 3, 7, 7, 29, 29, 75, 77, 29, 661, 899, 3137, 2661, 15271, 28093}},
+{3129, 15, 11473, {1, 1, 1, 3, 3, 3, 11, 219, 39, 757, 1465, 249, 7445, 7013, 15187}},
+{3130, 15, 11476, {1, 3, 7, 15, 15, 1, 39, 245, 427, 1003, 1493, 1913, 6435, 14787, 13481}},
+{3131, 15, 11480, {1, 1, 7, 3, 3, 37, 5, 97, 343, 833, 1379, 1551, 5403, 1843, 5877}},
+{3132, 15, 11489, {1, 3, 1, 1, 3, 17, 17, 163, 339, 691, 1707, 1845, 5941, 4259, 24531}},
+{3133, 15, 11499, {1, 1, 1, 1, 27, 21, 85, 221, 71, 949, 1753, 391, 6349, 15901, 20811}},
+{3134, 15, 11516, {1, 1, 1, 5, 31, 19, 45, 99, 469, 783, 1747, 3807, 5889, 9485, 13715}},
+{3135, 15, 11522, {1, 3, 1, 9, 23, 21, 39, 25, 421, 713, 461, 2857, 5023, 5341, 6409}},
+{3136, 15, 11531, {1, 3, 7, 5, 25, 19, 59, 147, 387, 857, 375, 3103, 1261, 13697, 25675}},
+{3137, 15, 11539, {1, 3, 5, 5, 31, 21, 49, 251, 463, 441, 473, 3487, 3915, 11151, 17721}},
+{3138, 15, 11546, {1, 1, 3, 9, 15, 47, 81, 219, 143, 141, 81, 1705, 5847, 3437, 30521}},
+{3139, 15, 11551, {1, 1, 7, 3, 25, 19, 97, 41, 77, 105, 1337, 695, 7589, 8587, 7509}},
+{3140, 15, 11564, {1, 1, 5, 13, 3, 11, 61, 19, 139, 667, 963, 1567, 5715, 7079, 15967}},
+{3141, 15, 11582, {1, 1, 5, 5, 5, 29, 67, 57, 477, 173, 1163, 727, 823, 15635, 17705}},
+{3142, 15, 11589, {1, 3, 7, 11, 13, 39, 57, 193, 73, 617, 535, 1623, 4581, 4451, 2589}},
+{3143, 15, 11593, {1, 1, 5, 5, 9, 27, 75, 127, 325, 413, 1669, 1749, 8045, 16199, 12237}},
+{3144, 15, 11601, {1, 1, 3, 1, 17, 23, 27, 189, 319, 953, 347, 909, 4401, 12791, 25077}},
+{3145, 15, 11608, {1, 1, 3, 3, 17, 51, 37, 79, 301, 607, 885, 1169, 3275, 3327, 20013}},
+{3146, 15, 11617, {1, 3, 5, 3, 21, 9, 99, 213, 387, 889, 575, 3591, 5377, 2981, 23989}},
+{3147, 15, 11630, {1, 3, 3, 13, 11, 7, 23, 255, 279, 853, 453, 2377, 8123, 15393, 9669}},
+{3148, 15, 11663, {1, 3, 1, 7, 11, 9, 109, 35, 405, 449, 1967, 2943, 3485, 5031, 14273}},
+{3149, 15, 11666, {1, 3, 3, 1, 25, 27, 43, 115, 435, 675, 1937, 1477, 4831, 9417, 7017}},
+{3150, 15, 11668, {1, 1, 7, 13, 19, 45, 83, 241, 487, 215, 1453, 209, 4061, 1765, 15623}},
+{3151, 15, 11677, {1, 1, 7, 7, 21, 31, 95, 9, 287, 1005, 1933, 3405, 6913, 7733, 18975}},
+{3152, 15, 11682, {1, 1, 1, 11, 13, 11, 25, 39, 283, 57, 255, 2809, 5767, 6127, 6705}},
+{3153, 15, 11687, {1, 3, 1, 11, 1, 51, 73, 181, 261, 215, 385, 2777, 5169, 12431, 23563}},
+{3154, 15, 11696, {1, 3, 3, 9, 9, 39, 123, 197, 501, 679, 109, 3369, 4817, 8855, 7997}},
+{3155, 15, 11713, {1, 1, 5, 1, 29, 61, 15, 183, 453, 999, 1211, 3217, 8035, 5153, 19975}},
+{3156, 15, 11728, {1, 3, 7, 11, 11, 21, 51, 45, 379, 793, 289, 309, 1229, 7159, 581}},
+{3157, 15, 11747, {1, 1, 3, 9, 17, 11, 75, 67, 289, 191, 1083, 2949, 6063, 6611, 21595}},
+{3158, 15, 11750, {1, 3, 7, 3, 27, 45, 59, 193, 485, 277, 27, 1219, 2389, 15875, 6273}},
+{3159, 15, 11754, {1, 1, 5, 3, 31, 29, 65, 197, 115, 163, 9, 783, 5573, 2833, 12603}},
+{3160, 15, 11759, {1, 1, 3, 7, 5, 53, 115, 181, 175, 749, 1335, 1151, 2131, 12467, 15811}},
+{3161, 15, 11761, {1, 1, 1, 9, 27, 39, 11, 1, 443, 677, 777, 1857, 7459, 3177, 3875}},
+{3162, 15, 11764, {1, 1, 7, 7, 17, 3, 23, 161, 105, 603, 1991, 3845, 465, 11467, 2077}},
+{3163, 15, 11767, {1, 1, 3, 13, 5, 23, 39, 35, 399, 795, 265, 207, 1823, 15069, 31839}},
+{3164, 15, 11797, {1, 1, 1, 1, 29, 61, 89, 193, 41, 99, 315, 1021, 6109, 12507, 19973}},
+{3165, 15, 11804, {1, 1, 5, 3, 13, 57, 119, 251, 215, 695, 1521, 4081, 2481, 657, 855}},
+{3166, 15, 11808, {1, 1, 7, 3, 25, 5, 3, 133, 111, 385, 773, 1027, 4327, 3031, 3537}},
+{3167, 15, 11831, {1, 3, 7, 5, 5, 27, 43, 117, 479, 83, 1421, 2791, 6551, 6231, 10353}},
+{3168, 15, 11832, {1, 1, 1, 13, 3, 29, 35, 71, 85, 821, 1671, 3057, 797, 13683, 7025}},
+{3169, 15, 11849, {1, 3, 7, 1, 1, 47, 117, 233, 141, 993, 1381, 2551, 1031, 11765, 18429}},
+{3170, 15, 11855, {1, 3, 1, 3, 13, 3, 77, 29, 35, 807, 1109, 695, 5605, 5477, 449}},
+{3171, 15, 11863, {1, 1, 1, 15, 21, 37, 117, 105, 273, 311, 1287, 1415, 1221, 1847, 19487}},
+{3172, 15, 11880, {1, 3, 1, 11, 21, 61, 107, 225, 335, 501, 1995, 2399, 5475, 12613, 18877}},
+{3173, 15, 11883, {1, 3, 3, 1, 31, 41, 27, 205, 103, 837, 639, 2007, 2759, 12471, 1457}},
+{3174, 15, 11885, {1, 1, 7, 13, 29, 39, 71, 245, 105, 235, 1277, 1515, 6129, 15947, 26653}},
+{3175, 15, 11898, {1, 1, 7, 5, 7, 13, 87, 251, 315, 1017, 587, 2917, 5911, 2919, 29715}},
+{3176, 15, 11916, {1, 1, 1, 3, 7, 19, 81, 243, 177, 917, 2023, 2365, 7465, 4901, 29841}},
+{3177, 15, 11924, {1, 3, 5, 15, 1, 31, 15, 147, 285, 1003, 1757, 47, 6925, 1197, 19633}},
+{3178, 15, 11928, {1, 1, 5, 7, 27, 25, 47, 209, 85, 403, 1399, 2331, 3663, 595, 13407}},
+{3179, 15, 11947, {1, 3, 5, 9, 7, 25, 7, 139, 389, 817, 1153, 1421, 5735, 9577, 10269}},
+{3180, 15, 11955, {1, 1, 1, 9, 5, 61, 49, 117, 389, 541, 433, 1405, 2575, 223, 7265}},
+{3181, 15, 11961, {1, 1, 5, 7, 15, 1, 81, 207, 435, 843, 835, 3797, 7637, 5333, 31115}},
+{3182, 15, 11962, {1, 3, 7, 11, 13, 3, 47, 249, 301, 715, 2015, 3049, 8155, 10989, 26051}},
+{3183, 15, 11982, {1, 1, 7, 7, 3, 33, 119, 113, 381, 575, 367, 41, 3317, 11727, 4351}},
+{3184, 15, 11990, {1, 3, 3, 13, 9, 3, 51, 37, 173, 137, 533, 1827, 631, 10047, 6267}},
+{3185, 15, 12010, {1, 3, 3, 11, 17, 39, 61, 245, 13, 139, 1281, 1319, 1233, 13629, 32269}},
+{3186, 15, 12018, {1, 1, 1, 7, 15, 17, 91, 109, 163, 609, 11, 3251, 7653, 14035, 31755}},
+{3187, 15, 12027, {1, 3, 3, 15, 13, 21, 55, 231, 385, 133, 1833, 2637, 6935, 14303, 26745}},
+{3188, 15, 12029, {1, 1, 1, 7, 17, 41, 125, 141, 89, 823, 1411, 3637, 6211, 13323, 6111}},
+{3189, 15, 12035, {1, 1, 1, 11, 1, 21, 9, 43, 97, 685, 1223, 1491, 121, 1793, 2397}},
+{3190, 15, 12055, {1, 3, 5, 5, 17, 17, 5, 223, 129, 865, 1839, 1137, 6391, 4377, 9233}},
+{3191, 15, 12062, {1, 3, 7, 15, 21, 55, 5, 77, 341, 637, 1853, 1435, 1195, 9283, 21257}},
+{3192, 15, 12068, {1, 3, 5, 1, 9, 49, 43, 211, 127, 655, 1397, 1235, 5279, 2351, 24229}},
+{3193, 15, 12071, {1, 3, 5, 3, 25, 29, 13, 229, 25, 675, 837, 2753, 2125, 9863, 11293}},
+{3194, 15, 12072, {1, 3, 5, 7, 23, 43, 127, 1, 163, 237, 337, 3019, 7747, 16227, 2881}},
+{3195, 15, 12086, {1, 3, 5, 5, 25, 9, 43, 171, 421, 521, 1885, 337, 7873, 6347, 13181}},
+{3196, 15, 12097, {1, 3, 5, 5, 7, 47, 107, 173, 163, 191, 625, 3389, 2833, 7945, 24787}},
+{3197, 15, 12098, {1, 1, 7, 3, 27, 57, 27, 209, 253, 815, 301, 1633, 3945, 5051, 28851}},
+{3198, 15, 12100, {1, 3, 7, 9, 9, 51, 103, 213, 437, 189, 1857, 1331, 5551, 10641, 27405}},
+{3199, 15, 12112, {1, 1, 5, 5, 15, 1, 25, 105, 117, 347, 161, 3369, 3589, 12903, 23559}},
+{3200, 15, 12118, {1, 1, 1, 5, 3, 61, 93, 51, 81, 281, 1383, 745, 4137, 2005, 3635}},
+{3201, 15, 12133, {1, 3, 7, 5, 13, 57, 111, 211, 303, 477, 359, 4019, 6779, 5129, 22035}},
+{3202, 15, 12134, {1, 1, 1, 7, 17, 29, 113, 113, 201, 531, 749, 739, 2879, 3315, 18733}},
+{3203, 15, 12137, {1, 3, 7, 13, 21, 55, 21, 183, 359, 75, 377, 2211, 4281, 14317, 28307}},
+{3204, 15, 12161, {1, 3, 7, 1, 21, 1, 49, 213, 317, 75, 113, 1741, 7963, 12785, 11571}},
+{3205, 15, 12162, {1, 3, 7, 9, 11, 31, 29, 101, 261, 141, 715, 2727, 8187, 2075, 32433}},
+{3206, 15, 12171, {1, 3, 7, 3, 23, 9, 17, 143, 385, 211, 593, 241, 6567, 10777, 6677}},
+{3207, 15, 12174, {1, 1, 3, 15, 3, 17, 117, 99, 91, 793, 989, 2421, 5643, 16103, 9759}},
+{3208, 15, 12185, {1, 3, 7, 11, 23, 43, 107, 35, 421, 431, 743, 853, 7939, 12169, 4199}},
+{3209, 15, 12204, {1, 1, 1, 11, 21, 53, 17, 203, 123, 395, 59, 929, 255, 7585, 10945}},
+{3210, 15, 12212, {1, 3, 3, 15, 17, 57, 57, 133, 67, 71, 1685, 903, 4079, 15423, 26495}},
+{3211, 15, 12215, {1, 1, 1, 15, 3, 47, 95, 39, 405, 407, 1557, 3001, 6225, 15187, 5663}},
+{3212, 15, 12216, {1, 3, 5, 5, 13, 47, 33, 61, 375, 1023, 1981, 2773, 2375, 11321, 17731}},
+{3213, 15, 12253, {1, 3, 5, 9, 17, 59, 117, 95, 493, 149, 1269, 2865, 369, 2109, 24601}},
+{3214, 15, 12260, {1, 3, 5, 13, 17, 63, 67, 247, 95, 721, 67, 305, 6179, 15399, 32559}},
+{3215, 15, 12277, {1, 1, 5, 1, 3, 21, 41, 15, 453, 475, 2017, 3193, 5903, 897, 4237}},
+{3216, 15, 12289, {1, 1, 5, 3, 15, 41, 1, 141, 441, 575, 155, 3791, 7711, 11231, 24611}},
+{3217, 15, 12295, {1, 3, 7, 1, 17, 53, 27, 169, 31, 437, 963, 1793, 7777, 1917, 29311}},
+{3218, 15, 12314, {1, 3, 3, 13, 9, 27, 77, 87, 329, 885, 749, 1713, 6013, 6921, 629}},
+{3219, 15, 12323, {1, 3, 5, 13, 3, 7, 53, 27, 353, 267, 925, 2141, 439, 15175, 30851}},
+{3220, 15, 12325, {1, 3, 3, 13, 17, 57, 35, 101, 265, 901, 1825, 2159, 6149, 5967, 24023}},
+{3221, 15, 12335, {1, 1, 5, 11, 13, 51, 99, 111, 193, 415, 1541, 2929, 5045, 3147, 12587}},
+{3222, 15, 12349, {1, 3, 7, 11, 15, 9, 33, 17, 511, 815, 299, 1077, 6171, 10451, 15039}},
+{3223, 15, 12358, {1, 1, 1, 15, 25, 63, 51, 137, 449, 951, 1051, 1101, 4725, 2463, 7355}},
+{3224, 15, 12372, {1, 1, 1, 7, 27, 63, 29, 179, 317, 521, 1459, 827, 6599, 13459, 15439}},
+{3225, 15, 12376, {1, 3, 3, 15, 17, 31, 37, 191, 229, 245, 181, 941, 5761, 1849, 31599}},
+{3226, 15, 12379, {1, 1, 1, 9, 27, 45, 67, 239, 481, 615, 1667, 3751, 8141, 10013, 2125}},
+{3227, 15, 12386, {1, 1, 1, 1, 13, 51, 117, 135, 73, 151, 1291, 2541, 1411, 3767, 26949}},
+{3228, 15, 12395, {1, 3, 1, 9, 7, 11, 21, 187, 243, 857, 1951, 865, 7273, 2041, 8155}},
+{3229, 15, 12416, {1, 1, 3, 3, 19, 33, 89, 115, 455, 137, 707, 1867, 4221, 2433, 9119}},
+{3230, 15, 12421, {1, 1, 3, 11, 5, 3, 121, 1, 71, 951, 603, 3873, 723, 3285, 19289}},
+{3231, 15, 12440, {1, 3, 7, 15, 21, 1, 117, 17, 455, 519, 731, 3003, 5741, 9557, 29163}},
+{3232, 15, 12452, {1, 1, 3, 13, 25, 5, 43, 147, 209, 895, 255, 1231, 241, 487, 15593}},
+{3233, 15, 12455, {1, 1, 3, 13, 7, 1, 89, 187, 217, 927, 2029, 3521, 2777, 8103, 22819}},
+{3234, 15, 12456, {1, 1, 7, 11, 7, 33, 3, 73, 5, 489, 227, 2259, 7031, 6425, 26135}},
+{3235, 15, 12462, {1, 3, 3, 7, 31, 19, 97, 201, 455, 819, 945, 2771, 8083, 8711, 2835}},
+{3236, 15, 12467, {1, 1, 1, 5, 15, 45, 43, 157, 245, 967, 877, 2289, 4499, 9891, 18827}},
+{3237, 15, 12479, {1, 3, 1, 7, 21, 59, 123, 63, 231, 485, 1781, 1211, 4597, 5269, 1607}},
+{3238, 15, 12505, {1, 1, 1, 13, 23, 39, 105, 55, 249, 991, 1625, 3089, 3825, 4275, 29139}},
+{3239, 15, 12521, {1, 3, 3, 1, 29, 29, 55, 169, 13, 895, 1355, 1101, 6063, 12935, 23215}},
+{3240, 15, 12535, {1, 1, 5, 5, 31, 49, 99, 137, 209, 1017, 1179, 3931, 637, 14131, 19285}},
+{3241, 15, 12547, {1, 1, 1, 1, 3, 11, 119, 11, 215, 337, 243, 3883, 3807, 7335, 11901}},
+{3242, 15, 12556, {1, 3, 7, 3, 7, 27, 71, 225, 219, 367, 1213, 2739, 1185, 10175, 21313}},
+{3243, 15, 12561, {1, 3, 7, 13, 7, 49, 23, 223, 61, 1011, 797, 1335, 6711, 5961, 5605}},
+{3244, 15, 12568, {1, 3, 3, 11, 19, 37, 1, 149, 39, 661, 929, 2125, 2299, 5181, 28083}},
+{3245, 15, 12578, {1, 3, 3, 13, 13, 9, 67, 21, 463, 279, 529, 523, 6705, 11011, 31695}},
+{3246, 15, 12583, {1, 3, 1, 5, 13, 1, 123, 3, 291, 625, 1949, 2713, 5917, 10343, 13627}},
+{3247, 15, 12595, {1, 1, 3, 9, 27, 41, 3, 207, 103, 265, 811, 549, 6109, 313, 8889}},
+{3248, 15, 12604, {1, 3, 3, 13, 23, 43, 99, 33, 279, 463, 955, 793, 4113, 10615, 16957}},
+{3249, 15, 12610, {1, 1, 5, 7, 11, 49, 79, 45, 17, 937, 359, 1037, 1099, 3003, 31561}},
+{3250, 15, 12621, {1, 1, 1, 7, 3, 45, 111, 35, 109, 983, 53, 4057, 7349, 3599, 2209}},
+{3251, 15, 12622, {1, 3, 7, 11, 9, 43, 27, 9, 85, 529, 1497, 347, 759, 12449, 11373}},
+{3252, 15, 12624, {1, 1, 3, 9, 17, 1, 49, 31, 367, 813, 1385, 2025, 773, 4679, 4543}},
+{3253, 15, 12629, {1, 1, 5, 15, 15, 9, 43, 97, 239, 995, 1037, 841, 4167, 12113, 23765}},
+{3254, 15, 12630, {1, 3, 5, 9, 29, 53, 123, 49, 221, 113, 1157, 73, 6087, 1363, 11029}},
+{3255, 15, 12639, {1, 3, 1, 13, 3, 15, 69, 199, 279, 919, 5, 161, 4817, 15031, 121}},
+{3256, 15, 12640, {1, 3, 1, 9, 3, 31, 117, 77, 393, 241, 645, 3181, 1067, 15879, 2037}},
+{3257, 15, 12650, {1, 3, 3, 15, 3, 63, 57, 33, 117, 789, 941, 1301, 5865, 12693, 3523}},
+{3258, 15, 12679, {1, 1, 5, 13, 3, 61, 51, 151, 175, 305, 95, 1557, 6567, 7841, 13903}},
+{3259, 15, 12680, {1, 3, 3, 5, 15, 25, 127, 79, 245, 767, 645, 3933, 1357, 12579, 4067}},
+{3260, 15, 12698, {1, 3, 5, 11, 21, 31, 13, 251, 127, 231, 1795, 2627, 1191, 3363, 23543}},
+{3261, 15, 12716, {1, 1, 3, 5, 7, 49, 121, 57, 131, 481, 1879, 525, 5225, 337, 1957}},
+{3262, 15, 12721, {1, 1, 5, 13, 9, 55, 27, 37, 211, 125, 119, 3373, 251, 12357, 13975}},
+{3263, 15, 12722, {1, 3, 3, 15, 1, 51, 91, 119, 233, 993, 203, 1635, 1167, 6327, 29119}},
+{3264, 15, 12731, {1, 1, 7, 1, 13, 5, 23, 253, 121, 989, 1105, 3321, 3221, 6073, 21185}},
+{3265, 15, 12742, {1, 1, 3, 15, 13, 49, 121, 247, 247, 133, 485, 1067, 7875, 411, 7647}},
+{3266, 15, 12745, {1, 3, 7, 13, 31, 37, 127, 241, 145, 133, 53, 267, 2029, 3703, 16123}},
+{3267, 15, 12751, {1, 3, 1, 15, 15, 9, 15, 89, 35, 367, 401, 61, 1953, 7873, 17861}},
+{3268, 15, 12759, {1, 1, 1, 1, 1, 41, 71, 249, 213, 779, 1385, 1767, 999, 15151, 16647}},
+{3269, 15, 12763, {1, 3, 7, 13, 31, 23, 123, 235, 343, 949, 309, 3777, 3587, 853, 19779}},
+{3270, 15, 12769, {1, 1, 3, 13, 29, 35, 5, 37, 63, 757, 303, 1579, 3443, 243, 11873}},
+{3271, 15, 12781, {1, 3, 1, 9, 19, 49, 81, 53, 11, 901, 1857, 147, 3103, 14019, 21}},
+{3272, 15, 12793, {1, 3, 7, 13, 3, 39, 99, 99, 45, 91, 1567, 551, 3129, 4809, 29057}},
+{3273, 15, 12799, {1, 3, 7, 3, 3, 27, 17, 231, 377, 381, 1479, 2525, 2595, 2799, 25737}},
+{3274, 15, 12815, {1, 3, 5, 15, 15, 25, 103, 215, 301, 59, 1417, 981, 7579, 12731, 22329}},
+{3275, 15, 12824, {1, 1, 1, 13, 5, 31, 61, 31, 349, 925, 1301, 685, 435, 11567, 10715}},
+{3276, 15, 12836, {1, 1, 7, 9, 19, 57, 109, 1, 37, 377, 1015, 2273, 6741, 3191, 15949}},
+{3277, 15, 12845, {1, 3, 3, 13, 3, 23, 103, 127, 11, 59, 1847, 1175, 425, 3423, 20643}},
+{3278, 15, 12853, {1, 3, 3, 7, 3, 11, 105, 141, 55, 217, 1427, 477, 667, 9403, 11905}},
+{3279, 15, 12854, {1, 3, 3, 5, 3, 27, 11, 187, 495, 907, 1925, 445, 6639, 8159, 15225}},
+{3280, 15, 12857, {1, 3, 1, 5, 27, 31, 77, 213, 73, 343, 1123, 3609, 2431, 15329, 32165}},
+{3281, 15, 12866, {1, 1, 7, 5, 1, 11, 105, 139, 485, 1007, 709, 3509, 5231, 11717, 31433}},
+{3282, 15, 12872, {1, 1, 3, 15, 23, 49, 95, 169, 399, 1019, 19, 2013, 5311, 7951, 22609}},
+{3283, 15, 12875, {1, 3, 1, 7, 13, 3, 29, 203, 209, 701, 1791, 2615, 5351, 4237, 12565}},
+{3284, 15, 12878, {1, 3, 1, 15, 27, 11, 91, 31, 205, 205, 1683, 901, 5129, 6049, 11865}},
+{3285, 15, 12880, {1, 1, 7, 7, 27, 59, 21, 3, 209, 79, 769, 4013, 2041, 2645, 11561}},
+{3286, 15, 12885, {1, 3, 7, 11, 5, 45, 39, 243, 185, 871, 795, 1845, 8043, 6285, 20991}},
+{3287, 15, 12901, {1, 1, 5, 7, 13, 7, 15, 165, 349, 179, 789, 1269, 3787, 5429, 26567}},
+{3288, 15, 12902, {1, 3, 3, 13, 31, 23, 75, 41, 177, 735, 1889, 4039, 3519, 15003, 965}},
+{3289, 15, 12920, {1, 3, 1, 7, 15, 57, 15, 139, 27, 469, 1003, 691, 7893, 9643, 30983}},
+{3290, 15, 12926, {1, 3, 1, 13, 23, 27, 3, 237, 233, 875, 99, 883, 6167, 5463, 6245}},
+{3291, 15, 12929, {1, 1, 5, 13, 25, 57, 79, 51, 147, 619, 1147, 279, 6583, 1939, 477}},
+{3292, 15, 12939, {1, 3, 5, 5, 31, 61, 125, 163, 213, 699, 583, 3865, 615, 9707, 11651}},
+{3293, 15, 12941, {1, 1, 5, 1, 5, 21, 93, 239, 31, 641, 777, 27, 5247, 8993, 21053}},
+{3294, 15, 12950, {1, 3, 7, 9, 1, 13, 61, 57, 503, 453, 83, 3271, 2845, 1121, 18639}},
+{3295, 15, 12953, {1, 1, 7, 5, 29, 53, 13, 219, 379, 441, 821, 3179, 4877, 2535, 7557}},
+{3296, 15, 12992, {1, 1, 7, 13, 9, 53, 17, 183, 265, 393, 587, 2753, 6453, 7135, 24737}},
+{3297, 15, 13002, {1, 1, 1, 13, 11, 23, 73, 109, 393, 1013, 559, 755, 7291, 6631, 26509}},
+{3298, 15, 13010, {1, 3, 1, 5, 5, 15, 107, 103, 355, 307, 1559, 837, 5413, 5285, 17489}},
+{3299, 15, 13058, {1, 1, 5, 7, 17, 21, 21, 23, 109, 709, 1947, 3585, 3629, 4669, 949}},
+{3300, 15, 13072, {1, 3, 7, 1, 9, 33, 85, 147, 467, 259, 1913, 199, 7399, 9551, 22387}},
+{3301, 15, 13084, {1, 3, 5, 11, 15, 53, 23, 41, 249, 515, 1161, 2467, 1299, 7449, 2613}},
+{3302, 15, 13087, {1, 1, 5, 5, 5, 29, 91, 139, 487, 545, 321, 3035, 4545, 6747, 21673}},
+{3303, 15, 13091, {1, 1, 3, 13, 23, 49, 95, 103, 25, 119, 469, 2515, 2551, 841, 25089}},
+{3304, 15, 13097, {1, 1, 5, 7, 11, 31, 31, 197, 245, 715, 257, 4043, 8099, 11531, 5617}},
+{3305, 15, 13108, {1, 1, 3, 3, 19, 7, 9, 179, 103, 995, 191, 179, 3843, 5215, 27639}},
+{3306, 15, 13123, {1, 3, 1, 7, 23, 59, 25, 65, 399, 211, 1453, 3511, 7203, 16015, 32197}},
+{3307, 15, 13149, {1, 3, 3, 5, 9, 35, 109, 67, 197, 449, 643, 519, 5751, 15551, 11331}},
+{3308, 15, 13150, {1, 3, 5, 3, 1, 17, 53, 201, 265, 351, 467, 911, 1117, 7183, 20371}},
+{3309, 15, 13163, {1, 1, 7, 7, 27, 17, 93, 81, 227, 619, 1191, 735, 815, 12615, 2719}},
+{3310, 15, 13166, {1, 3, 1, 15, 19, 3, 83, 75, 343, 297, 1019, 3469, 4383, 13299, 29755}},
+{3311, 15, 13178, {1, 1, 5, 3, 13, 55, 119, 169, 85, 595, 299, 2469, 5625, 2877, 16117}},
+{3312, 15, 13180, {1, 1, 3, 5, 15, 17, 61, 161, 47, 393, 143, 867, 5517, 9495, 12795}},
+{3313, 15, 13184, {1, 3, 5, 1, 27, 31, 113, 125, 251, 687, 969, 1473, 2245, 6355, 13655}},
+{3314, 15, 13204, {1, 1, 1, 5, 5, 37, 29, 133, 443, 899, 277, 2353, 7223, 4459, 19159}},
+{3315, 15, 13238, {1, 1, 3, 9, 19, 27, 53, 145, 195, 167, 2045, 447, 1803, 1895, 8431}},
+{3316, 15, 13242, {1, 1, 3, 9, 5, 27, 91, 147, 233, 451, 475, 27, 4629, 16181, 16437}},
+{3317, 15, 13249, {1, 3, 5, 3, 29, 17, 53, 167, 433, 689, 1131, 2985, 1553, 11697, 6993}},
+{3318, 15, 13255, {1, 3, 3, 13, 21, 43, 69, 229, 399, 525, 179, 237, 7017, 5703, 17653}},
+{3319, 15, 13269, {1, 1, 3, 15, 13, 39, 75, 163, 229, 875, 197, 477, 3667, 15501, 15801}},
+{3320, 15, 13270, {1, 1, 7, 15, 15, 51, 81, 187, 487, 673, 865, 1915, 1009, 5935, 8097}},
+{3321, 15, 13274, {1, 3, 5, 5, 7, 3, 63, 77, 495, 815, 391, 2321, 1007, 15661, 30715}},
+{3322, 15, 13285, {1, 1, 7, 3, 17, 25, 83, 173, 173, 911, 1373, 2957, 4549, 15977, 17695}},
+{3323, 15, 13289, {1, 1, 7, 13, 13, 23, 77, 147, 497, 1003, 1687, 1795, 1393, 1881, 8479}},
+{3324, 15, 13298, {1, 3, 7, 11, 27, 43, 97, 25, 61, 457, 203, 2573, 5943, 15021, 4003}},
+{3325, 15, 13307, {1, 3, 3, 13, 9, 37, 37, 25, 219, 889, 1535, 2791, 4531, 13679, 12663}},
+{3326, 15, 13312, {1, 1, 3, 1, 17, 7, 51, 123, 89, 887, 1467, 1645, 3767, 6383, 30837}},
+{3327, 15, 13335, {1, 3, 3, 1, 21, 47, 5, 151, 83, 257, 569, 2711, 637, 12569, 16893}},
+{3328, 15, 13345, {1, 3, 7, 1, 31, 37, 73, 3, 115, 919, 1817, 2483, 4811, 15245, 4375}},
+{3329, 15, 13357, {1, 1, 1, 5, 1, 39, 39, 231, 9, 733, 455, 3383, 4777, 7235, 12631}},
+{3330, 15, 13366, {1, 1, 7, 9, 13, 25, 55, 25, 73, 59, 1699, 929, 755, 1279, 5583}},
+{3331, 15, 13372, {1, 3, 5, 3, 9, 49, 79, 55, 479, 179, 1159, 4079, 3503, 11603, 12361}},
+{3332, 15, 13380, {1, 1, 5, 9, 21, 45, 31, 163, 377, 817, 219, 147, 2581, 12769, 30783}},
+{3333, 15, 13384, {1, 3, 1, 7, 15, 27, 39, 189, 493, 259, 1663, 1213, 961, 11089, 16079}},
+{3334, 15, 13395, {1, 1, 5, 9, 5, 41, 13, 153, 313, 337, 1027, 1267, 4249, 13071, 27043}},
+{3335, 15, 13407, {1, 3, 7, 3, 13, 11, 23, 255, 51, 527, 317, 3217, 5037, 12723, 17411}},
+{3336, 15, 13408, {1, 1, 5, 1, 25, 57, 83, 97, 233, 513, 1283, 2675, 4111, 4111, 32141}},
+{3337, 15, 13413, {1, 3, 3, 15, 25, 33, 103, 81, 155, 189, 139, 1179, 2691, 15119, 13959}},
+{3338, 15, 13414, {1, 3, 3, 1, 25, 55, 67, 19, 19, 9, 437, 579, 4273, 10733, 7125}},
+{3339, 15, 13417, {1, 1, 1, 7, 23, 41, 47, 5, 435, 749, 595, 199, 3941, 7199, 4795}},
+{3340, 15, 13437, {1, 3, 1, 15, 5, 49, 35, 9, 199, 703, 1769, 3269, 5689, 13063, 22771}},
+{3341, 15, 13441, {1, 1, 5, 5, 21, 55, 125, 55, 63, 149, 1167, 3577, 1051, 3921, 20545}},
+{3342, 15, 13447, {1, 3, 7, 13, 29, 53, 107, 193, 163, 339, 1335, 1573, 5809, 5681, 29487}},
+{3343, 15, 13456, {1, 1, 1, 9, 17, 9, 91, 177, 211, 453, 1807, 1881, 6051, 225, 6021}},
+{3344, 15, 13459, {1, 1, 1, 13, 15, 1, 29, 43, 181, 105, 1945, 2313, 6429, 2901, 6221}},
+{3345, 15, 13461, {1, 3, 5, 11, 29, 55, 115, 115, 187, 1013, 697, 1885, 121, 12387, 32443}},
+{3346, 15, 13466, {1, 1, 1, 7, 19, 51, 21, 107, 55, 125, 1655, 2281, 3293, 15749, 27521}},
+{3347, 15, 13484, {1, 1, 7, 9, 19, 9, 81, 93, 139, 401, 193, 73, 5159, 9323, 6019}},
+{3348, 15, 13487, {1, 1, 7, 9, 15, 51, 115, 69, 247, 599, 1163, 2251, 1211, 8827, 15581}},
+{3349, 15, 13489, {1, 1, 7, 9, 5, 39, 75, 185, 321, 911, 849, 843, 6791, 10407, 10513}},
+{3350, 15, 13492, {1, 1, 5, 5, 15, 9, 21, 47, 459, 681, 2001, 1545, 5939, 7073, 29043}},
+{3351, 15, 13496, {1, 3, 1, 11, 13, 25, 53, 97, 487, 797, 567, 3757, 5597, 6313, 18531}},
+{3352, 15, 13510, {1, 1, 3, 3, 29, 55, 11, 219, 325, 591, 2015, 383, 2595, 11855, 22501}},
+{3353, 15, 13531, {1, 1, 1, 5, 15, 57, 33, 125, 323, 749, 1843, 4019, 2075, 6673, 6957}},
+{3354, 15, 13538, {1, 1, 5, 7, 19, 7, 47, 239, 51, 107, 1081, 467, 5493, 7617, 10355}},
+{3355, 15, 13543, {1, 3, 1, 1, 11, 3, 67, 199, 175, 421, 935, 309, 4449, 6363, 9183}},
+{3356, 15, 13547, {1, 1, 1, 7, 9, 33, 3, 219, 481, 513, 417, 1267, 2863, 765, 18431}},
+{3357, 15, 13572, {1, 3, 1, 1, 19, 1, 89, 109, 415, 105, 487, 3241, 7465, 9233, 16307}},
+{3358, 15, 13581, {1, 1, 3, 13, 9, 43, 25, 231, 383, 789, 1855, 691, 3465, 2387, 11715}},
+{3359, 15, 13590, {1, 3, 3, 3, 13, 39, 63, 107, 33, 265, 437, 117, 3179, 5543, 28179}},
+{3360, 15, 13605, {1, 3, 3, 13, 21, 5, 31, 111, 321, 425, 253, 3501, 3209, 15429, 18383}},
+{3361, 15, 13612, {1, 3, 5, 9, 1, 27, 117, 187, 433, 459, 1999, 1069, 4857, 8591, 26343}},
+{3362, 15, 13624, {1, 1, 7, 3, 15, 43, 11, 193, 391, 341, 1203, 1259, 7265, 1783, 13161}},
+{3363, 15, 13630, {1, 1, 7, 1, 5, 15, 45, 143, 193, 985, 1105, 3483, 2421, 9687, 22347}},
+{3364, 15, 13632, {1, 3, 7, 13, 21, 17, 79, 231, 487, 663, 1101, 1025, 5779, 14681, 29181}},
+{3365, 15, 13638, {1, 1, 3, 9, 15, 19, 55, 219, 27, 963, 1513, 1017, 3907, 12279, 32655}},
+{3366, 15, 13661, {1, 3, 7, 3, 31, 27, 17, 1, 51, 861, 529, 1225, 6395, 15787, 5231}},
+{3367, 15, 13665, {1, 3, 3, 11, 27, 7, 101, 143, 21, 191, 1437, 2393, 4097, 14319, 6977}},
+{3368, 15, 13668, {1, 3, 3, 3, 25, 35, 105, 141, 433, 269, 1469, 2939, 5387, 7373, 7863}},
+{3369, 15, 13686, {1, 3, 7, 5, 5, 21, 23, 11, 217, 357, 1847, 101, 1161, 5297, 14879}},
+{3370, 15, 13699, {1, 3, 1, 3, 25, 23, 81, 217, 505, 161, 1667, 1343, 1751, 2463, 26431}},
+{3371, 15, 13701, {1, 1, 3, 1, 17, 51, 125, 205, 385, 351, 731, 2911, 2749, 2689, 27031}},
+{3372, 15, 13708, {1, 1, 5, 5, 5, 17, 31, 171, 477, 671, 167, 1797, 8047, 10123, 4325}},
+{3373, 15, 13716, {1, 1, 7, 1, 11, 23, 123, 161, 99, 1007, 765, 1965, 5395, 16193, 17751}},
+{3374, 15, 13725, {1, 3, 1, 9, 13, 11, 111, 217, 31, 753, 377, 2267, 7893, 7195, 24999}},
+{3375, 15, 13730, {1, 3, 1, 9, 21, 53, 127, 121, 151, 395, 1447, 1411, 5179, 12043, 27607}},
+{3376, 15, 13742, {1, 1, 5, 3, 11, 37, 97, 139, 113, 835, 229, 3741, 827, 5527, 5779}},
+{3377, 15, 13747, {1, 1, 7, 7, 27, 55, 11, 55, 429, 269, 1179, 233, 1053, 10225, 16703}},
+{3378, 15, 13749, {1, 1, 1, 3, 15, 9, 67, 119, 95, 753, 511, 2507, 3953, 6403, 27635}},
+{3379, 15, 13753, {1, 3, 3, 7, 27, 57, 25, 27, 249, 515, 193, 4043, 2017, 751, 10949}},
+{3380, 15, 13754, {1, 3, 1, 9, 31, 57, 67, 21, 177, 573, 1835, 2015, 6201, 2383, 31087}},
+{3381, 15, 13771, {1, 1, 5, 1, 19, 3, 89, 243, 69, 387, 1905, 3465, 2775, 7713, 30081}},
+{3382, 15, 13773, {1, 1, 3, 3, 9, 59, 15, 89, 85, 605, 881, 263, 2551, 797, 16541}},
+{3383, 15, 13782, {1, 3, 7, 11, 25, 41, 59, 139, 405, 571, 1147, 2963, 4175, 12901, 6309}},
+{3384, 15, 13785, {1, 3, 1, 5, 29, 29, 11, 243, 183, 281, 807, 1, 7079, 10079, 13865}},
+{3385, 15, 13798, {1, 3, 7, 5, 5, 1, 89, 55, 423, 157, 675, 1849, 241, 6467, 15459}},
+{3386, 15, 13802, {1, 1, 7, 11, 15, 63, 89, 109, 501, 549, 317, 3043, 1151, 3895, 19851}},
+{3387, 15, 13809, {1, 3, 1, 15, 7, 23, 97, 97, 225, 737, 1117, 3325, 209, 14169, 10813}},
+{3388, 15, 13828, {1, 3, 7, 13, 13, 39, 91, 153, 395, 879, 1041, 3753, 5577, 1985, 25247}},
+{3389, 15, 13832, {1, 1, 1, 3, 17, 15, 113, 143, 101, 901, 1119, 1819, 3577, 3441, 31511}},
+{3390, 15, 13840, {1, 3, 1, 11, 15, 27, 21, 37, 287, 121, 451, 1353, 2173, 299, 18791}},
+{3391, 15, 13850, {1, 3, 3, 5, 23, 1, 49, 145, 315, 769, 99, 1385, 5961, 9121, 1465}},
+{3392, 15, 13861, {1, 3, 3, 13, 21, 39, 39, 233, 271, 113, 615, 2257, 3765, 5921, 313}},
+{3393, 15, 13874, {1, 3, 7, 7, 25, 45, 11, 237, 83, 203, 929, 1819, 2679, 11583, 30091}},
+{3394, 15, 13876, {1, 1, 1, 7, 21, 63, 85, 251, 133, 991, 1515, 2547, 6051, 7279, 3569}},
+{3395, 15, 13886, {1, 3, 7, 15, 11, 19, 87, 17, 313, 283, 1021, 2743, 4855, 13741, 17955}},
+{3396, 15, 13897, {1, 1, 7, 13, 29, 13, 61, 93, 81, 91, 995, 907, 4847, 2599, 20041}},
+{3397, 15, 13900, {1, 1, 3, 11, 13, 45, 103, 33, 243, 109, 2029, 121, 231, 16179, 13741}},
+{3398, 15, 13915, {1, 3, 5, 9, 9, 5, 73, 225, 199, 723, 611, 1909, 2345, 10257, 9909}},
+{3399, 15, 13927, {1, 1, 3, 11, 7, 5, 33, 89, 431, 899, 803, 3173, 6131, 16097, 20561}},
+{3400, 15, 13951, {1, 3, 3, 7, 7, 47, 23, 47, 411, 69, 239, 661, 5591, 10457, 24245}},
+{3401, 15, 13955, {1, 1, 5, 15, 25, 35, 87, 23, 115, 939, 1579, 119, 4001, 13791, 9729}},
+{3402, 15, 13962, {1, 3, 5, 11, 25, 45, 29, 195, 369, 237, 735, 155, 123, 4415, 32255}},
+{3403, 15, 13969, {1, 3, 3, 9, 13, 53, 15, 77, 313, 75, 529, 925, 5679, 14585, 19889}},
+{3404, 15, 13979, {1, 1, 7, 15, 15, 27, 105, 13, 31, 669, 563, 1809, 4321, 7797, 4177}},
+{3405, 15, 13988, {1, 1, 5, 9, 3, 29, 111, 177, 33, 235, 1951, 1561, 141, 4803, 16327}},
+{3406, 15, 13998, {1, 1, 1, 7, 9, 41, 1, 149, 95, 933, 115, 1619, 771, 8189, 8781}},
+{3407, 15, 14000, {1, 1, 5, 3, 13, 41, 33, 159, 355, 159, 1243, 1439, 6571, 14397, 31321}},
+{3408, 15, 14005, {1, 1, 7, 11, 9, 15, 91, 145, 457, 255, 1449, 611, 1449, 2521, 28949}},
+{3409, 15, 14027, {1, 3, 7, 5, 27, 57, 35, 99, 447, 287, 743, 1163, 4379, 7361, 3831}},
+{3410, 15, 14037, {1, 3, 3, 7, 15, 53, 41, 83, 133, 571, 1739, 531, 2921, 11527, 21941}},
+{3411, 15, 14051, {1, 1, 1, 13, 9, 27, 39, 113, 429, 447, 595, 3171, 5245, 4095, 14847}},
+{3412, 15, 14054, {1, 1, 3, 7, 19, 19, 21, 101, 489, 1011, 265, 3899, 3225, 11701, 5193}},
+{3413, 15, 14060, {1, 3, 7, 3, 15, 25, 103, 213, 441, 215, 1483, 263, 3561, 7915, 7969}},
+{3414, 15, 14063, {1, 3, 3, 3, 11, 47, 97, 29, 489, 867, 1347, 2155, 4871, 8001, 18305}},
+{3415, 15, 14071, {1, 3, 1, 9, 25, 15, 61, 17, 343, 775, 1765, 3803, 4577, 8437, 12605}},
+{3416, 15, 14078, {1, 1, 5, 3, 11, 39, 69, 23, 23, 65, 1967, 2429, 1703, 6671, 14981}},
+{3417, 15, 14080, {1, 1, 5, 15, 23, 59, 125, 51, 225, 439, 2019, 2589, 7781, 13111, 2911}},
+{3418, 15, 14085, {1, 1, 1, 3, 1, 31, 37, 245, 203, 305, 821, 367, 5211, 9791, 21777}},
+{3419, 15, 14086, {1, 1, 5, 9, 9, 31, 97, 25, 271, 83, 343, 2461, 1805, 14383, 10059}},
+{3420, 15, 14095, {1, 1, 5, 13, 15, 33, 127, 109, 137, 963, 961, 1647, 7881, 8133, 22359}},
+{3421, 15, 14138, {1, 1, 3, 7, 25, 31, 123, 241, 283, 1, 1781, 23, 971, 6485, 127}},
+{3422, 15, 14145, {1, 1, 5, 15, 15, 27, 25, 145, 395, 679, 979, 571, 1585, 14787, 7465}},
+{3423, 15, 14158, {1, 1, 5, 7, 13, 11, 7, 131, 511, 597, 379, 1513, 6267, 16039, 1503}},
+{3424, 15, 14166, {1, 1, 1, 13, 15, 49, 73, 217, 353, 577, 1913, 1127, 961, 11557, 24993}},
+{3425, 15, 14179, {1, 3, 3, 9, 7, 3, 105, 141, 377, 687, 1917, 485, 983, 11149, 23303}},
+{3426, 15, 14181, {1, 1, 3, 15, 11, 7, 117, 179, 505, 67, 1817, 913, 5757, 1981, 1637}},
+{3427, 15, 14188, {1, 1, 1, 7, 5, 29, 3, 43, 223, 295, 1895, 3425, 5355, 5155, 17197}},
+{3428, 15, 14193, {1, 1, 7, 9, 21, 59, 121, 245, 73, 233, 1527, 869, 4145, 7995, 6473}},
+{3429, 15, 14200, {1, 1, 5, 13, 17, 21, 89, 179, 495, 669, 453, 2603, 5969, 6161, 4743}},
+{3430, 15, 14203, {1, 1, 7, 11, 25, 21, 103, 131, 391, 249, 1633, 2603, 2207, 8987, 15487}},
+{3431, 15, 14215, {1, 3, 7, 9, 13, 45, 99, 251, 115, 597, 1505, 2421, 1231, 10015, 24295}},
+{3432, 15, 14224, {1, 1, 5, 5, 31, 49, 17, 67, 463, 813, 1491, 3309, 7881, 8109, 7289}},
+{3433, 15, 14230, {1, 3, 1, 15, 23, 35, 123, 21, 169, 499, 95, 603, 1829, 7865, 26313}},
+{3434, 15, 14233, {1, 1, 7, 1, 9, 29, 45, 65, 95, 97, 673, 3673, 2969, 2317, 22209}},
+{3435, 15, 14236, {1, 1, 3, 7, 29, 33, 121, 17, 331, 487, 1901, 1951, 5383, 9375, 4029}},
+{3436, 15, 14246, {1, 3, 7, 9, 25, 43, 91, 147, 141, 401, 1647, 2697, 4645, 7179, 31857}},
+{3437, 15, 14267, {1, 3, 5, 11, 9, 31, 127, 105, 39, 883, 1635, 919, 5069, 2875, 24519}},
+{3438, 15, 14282, {1, 1, 5, 9, 1, 63, 73, 135, 95, 503, 385, 3903, 545, 12635, 27569}},
+{3439, 15, 14287, {1, 1, 3, 11, 27, 31, 47, 173, 55, 339, 1255, 1947, 793, 14133, 13963}},
+{3440, 15, 14301, {1, 1, 3, 15, 17, 33, 113, 249, 401, 743, 1307, 3123, 627, 1253, 13285}},
+{3441, 15, 14323, {1, 1, 3, 1, 9, 7, 39, 65, 281, 107, 833, 193, 2987, 12267, 31335}},
+{3442, 15, 14325, {1, 1, 7, 3, 15, 21, 99, 211, 39, 179, 587, 1169, 6455, 8225, 2049}},
+{3443, 15, 14329, {1, 3, 5, 13, 5, 13, 123, 1, 223, 273, 731, 2967, 4793, 4229, 26031}},
+{3444, 15, 14339, {1, 1, 1, 1, 3, 17, 7, 23, 225, 757, 743, 1257, 2047, 12509, 25467}},
+{3445, 15, 14342, {1, 1, 7, 15, 29, 3, 15, 113, 227, 675, 1295, 2777, 2921, 5485, 2577}},
+{3446, 15, 14351, {1, 3, 7, 13, 19, 21, 85, 129, 45, 599, 317, 1513, 4953, 10383, 25253}},
+{3447, 15, 14356, {1, 1, 7, 11, 13, 47, 127, 67, 219, 131, 905, 2005, 851, 15243, 5777}},
+{3448, 15, 14359, {1, 1, 5, 3, 23, 57, 57, 189, 153, 37, 955, 2049, 1295, 15119, 27213}},
+{3449, 15, 14370, {1, 3, 7, 11, 13, 61, 3, 241, 269, 789, 1595, 2369, 4843, 11347, 21543}},
+{3450, 15, 14402, {1, 1, 5, 5, 25, 21, 19, 237, 3, 605, 1343, 3965, 3511, 7889, 27759}},
+{3451, 15, 14411, {1, 3, 1, 15, 21, 15, 123, 5, 345, 945, 283, 1313, 335, 2085, 19505}},
+{3452, 15, 14421, {1, 1, 3, 3, 5, 21, 123, 89, 67, 11, 1247, 1155, 287, 13455, 5693}},
+{3453, 15, 14431, {1, 3, 3, 13, 1, 53, 101, 27, 387, 379, 19, 751, 2445, 11737, 975}},
+{3454, 15, 14435, {1, 3, 3, 3, 9, 29, 81, 117, 443, 145, 1619, 1813, 8125, 5829, 28617}},
+{3455, 15, 14442, {1, 1, 5, 15, 27, 15, 83, 83, 61, 715, 1655, 1631, 3457, 2727, 2163}},
+{3456, 15, 14447, {1, 3, 1, 5, 11, 11, 121, 7, 135, 883, 927, 1817, 6839, 12361, 24119}},
+{3457, 15, 14456, {1, 3, 7, 11, 23, 59, 39, 165, 109, 355, 1303, 381, 5697, 275, 3771}},
+{3458, 15, 14459, {1, 3, 5, 11, 11, 5, 81, 157, 55, 435, 613, 127, 4087, 3791, 21627}},
+{3459, 15, 14472, {1, 3, 7, 15, 13, 37, 83, 195, 207, 771, 51, 3685, 6389, 1229, 11101}},
+{3460, 15, 14477, {1, 3, 7, 13, 31, 3, 9, 13, 487, 95, 77, 809, 5809, 12887, 29933}},
+{3461, 15, 14490, {1, 1, 3, 7, 25, 9, 13, 29, 353, 659, 1785, 3825, 3729, 13109, 12973}},
+{3462, 15, 14496, {1, 1, 1, 5, 21, 3, 97, 1, 245, 917, 29, 1429, 8141, 7569, 32493}},
+{3463, 15, 14501, {1, 3, 1, 9, 19, 13, 13, 109, 377, 1007, 1737, 1939, 1419, 1145, 5065}},
+{3464, 15, 14505, {1, 1, 7, 9, 27, 57, 53, 69, 423, 43, 1629, 1003, 1473, 10809, 5659}},
+{3465, 15, 14513, {1, 1, 1, 9, 1, 45, 11, 231, 351, 155, 663, 2783, 3491, 5725, 25207}},
+{3466, 15, 14520, {1, 1, 1, 3, 15, 25, 77, 89, 231, 813, 657, 2603, 4885, 1383, 14499}},
+{3467, 15, 14534, {1, 3, 5, 5, 9, 21, 101, 181, 449, 491, 737, 803, 659, 11771, 545}},
+{3468, 15, 14562, {1, 3, 7, 9, 7, 19, 27, 199, 265, 329, 1031, 1235, 3191, 10071, 16281}},
+{3469, 15, 14576, {1, 1, 7, 11, 27, 55, 3, 127, 503, 1003, 1041, 1953, 5835, 4851, 13485}},
+{3470, 15, 14579, {1, 1, 7, 15, 5, 45, 97, 61, 221, 497, 1949, 3163, 4707, 8441, 1437}},
+{3471, 15, 14585, {1, 3, 5, 1, 3, 35, 107, 9, 473, 971, 227, 2225, 3999, 3095, 18879}},
+{3472, 15, 14586, {1, 1, 1, 9, 21, 59, 21, 1, 41, 435, 575, 491, 1839, 1095, 9727}},
+{3473, 15, 14606, {1, 3, 5, 9, 13, 29, 123, 251, 465, 701, 1105, 829, 573, 11503, 11861}},
+{3474, 15, 14627, {1, 3, 3, 13, 27, 59, 29, 111, 225, 973, 561, 1481, 835, 9261, 13831}},
+{3475, 15, 14630, {1, 1, 1, 7, 17, 3, 97, 211, 333, 315, 571, 3523, 7305, 6461, 20139}},
+{3476, 15, 14634, {1, 3, 7, 11, 31, 21, 105, 247, 113, 863, 1767, 381, 4623, 8935, 7911}},
+{3477, 15, 14636, {1, 1, 5, 7, 29, 45, 17, 155, 69, 17, 655, 1983, 6385, 6177, 7961}},
+{3478, 15, 14647, {1, 3, 3, 15, 31, 15, 63, 81, 309, 115, 393, 3445, 689, 13963, 18887}},
+{3479, 15, 14653, {1, 1, 5, 1, 19, 39, 127, 61, 357, 53, 195, 2745, 7853, 5753, 3669}},
+{3480, 15, 14659, {1, 3, 7, 7, 17, 51, 57, 145, 451, 365, 1517, 909, 4265, 10737, 9579}},
+{3481, 15, 14671, {1, 1, 3, 13, 3, 37, 121, 103, 257, 47, 1685, 2951, 5753, 15379, 8899}},
+{3482, 15, 14674, {1, 1, 5, 7, 31, 63, 61, 197, 97, 773, 133, 1517, 3093, 14879, 22941}},
+{3483, 15, 14701, {1, 1, 5, 1, 3, 9, 27, 53, 97, 663, 1915, 409, 471, 1391, 24853}},
+{3484, 15, 14716, {1, 1, 1, 7, 21, 53, 69, 5, 187, 571, 2023, 997, 323, 12059, 7071}},
+{3485, 15, 14719, {1, 3, 3, 1, 7, 59, 55, 157, 101, 123, 1301, 3709, 4673, 3897, 28791}},
+{3486, 15, 14720, {1, 3, 7, 5, 5, 23, 39, 139, 365, 415, 1481, 3415, 6323, 11109, 5719}},
+{3487, 15, 14725, {1, 3, 5, 3, 5, 11, 23, 143, 243, 229, 183, 3367, 3187, 8151, 28351}},
+{3488, 15, 14730, {1, 3, 7, 9, 5, 37, 29, 23, 437, 827, 985, 2879, 7611, 1391, 19087}},
+{3489, 15, 14743, {1, 3, 3, 5, 7, 9, 5, 143, 217, 757, 1697, 2459, 453, 8679, 4513}},
+{3490, 15, 14747, {1, 3, 5, 5, 11, 33, 3, 143, 293, 921, 185, 2461, 5547, 12247, 28591}},
+{3491, 15, 14786, {1, 3, 7, 5, 3, 53, 43, 179, 235, 417, 1307, 1367, 3695, 12809, 1807}},
+{3492, 15, 14788, {1, 3, 1, 11, 15, 43, 115, 229, 157, 25, 687, 3347, 271, 5777, 8557}},
+{3493, 15, 14792, {1, 3, 7, 5, 27, 37, 55, 135, 209, 47, 1603, 957, 5785, 11141, 10407}},
+{3494, 15, 14795, {1, 1, 1, 15, 17, 17, 103, 29, 489, 493, 119, 1707, 3463, 1815, 32055}},
+{3495, 15, 14809, {1, 3, 7, 11, 17, 13, 115, 145, 77, 515, 1911, 477, 5997, 8731, 3143}},
+{3496, 15, 14831, {1, 3, 1, 13, 31, 41, 73, 91, 231, 1, 455, 2023, 4691, 3613, 16329}},
+{3497, 15, 14834, {1, 1, 5, 15, 15, 39, 17, 117, 131, 657, 1939, 2245, 2575, 195, 25209}},
+{3498, 15, 14850, {1, 3, 7, 15, 5, 51, 69, 141, 499, 931, 1165, 2119, 1703, 10867, 28443}},
+{3499, 15, 14855, {1, 1, 1, 15, 13, 45, 45, 103, 115, 177, 651, 2545, 1417, 5349, 3385}},
+{3500, 15, 14859, {1, 3, 3, 1, 1, 41, 117, 15, 225, 861, 843, 2775, 4543, 6275, 14671}},
+{3501, 15, 14864, {1, 3, 5, 15, 5, 35, 87, 193, 341, 55, 1131, 945, 6865, 11271, 18705}},
+{3502, 15, 14876, {1, 3, 5, 9, 13, 35, 71, 197, 79, 351, 3, 3939, 1105, 12455, 28921}},
+{3503, 15, 14889, {1, 3, 1, 13, 9, 23, 89, 165, 59, 257, 1369, 161, 6255, 2997, 19175}},
+{3504, 15, 14890, {1, 3, 5, 3, 5, 41, 107, 231, 111, 207, 1865, 2079, 5891, 2487, 5863}},
+{3505, 15, 14898, {1, 3, 7, 15, 3, 3, 105, 235, 263, 991, 367, 1885, 1769, 7805, 11909}},
+{3506, 15, 14909, {1, 3, 3, 5, 15, 59, 67, 247, 77, 367, 1641, 1959, 1921, 5939, 17355}},
+{3507, 15, 14917, {1, 1, 7, 1, 3, 53, 37, 5, 221, 779, 1353, 1633, 2769, 6355, 8505}},
+{3508, 15, 14924, {1, 1, 7, 13, 11, 13, 73, 227, 115, 523, 355, 3127, 7545, 8409, 22335}},
+{3509, 15, 14929, {1, 1, 5, 11, 21, 15, 91, 115, 427, 683, 461, 2433, 6313, 4595, 24401}},
+{3510, 15, 14942, {1, 3, 7, 5, 29, 21, 57, 215, 423, 717, 1455, 705, 6835, 4503, 26077}},
+{3511, 15, 14951, {1, 1, 1, 15, 3, 33, 25, 227, 381, 477, 1023, 2751, 2229, 631, 16903}},
+{3512, 15, 14969, {1, 3, 1, 11, 9, 17, 59, 73, 53, 671, 251, 1729, 7593, 12473, 22533}},
+{3513, 15, 14970, {1, 3, 3, 1, 3, 35, 37, 173, 459, 143, 135, 3871, 2689, 8007, 4379}},
+{3514, 15, 14972, {1, 3, 5, 9, 23, 19, 43, 45, 493, 509, 1851, 1615, 5675, 13793, 6973}},
+{3515, 15, 14982, {1, 3, 3, 15, 5, 17, 77, 85, 451, 753, 579, 1057, 4851, 6017, 4195}},
+{3516, 15, 14988, {1, 3, 3, 5, 31, 29, 81, 159, 103, 391, 15, 899, 4623, 5957, 31961}},
+{3517, 15, 14994, {1, 1, 1, 7, 17, 57, 81, 17, 177, 633, 49, 2793, 5229, 5995, 9491}},
+{3518, 15, 15005, {1, 1, 7, 15, 17, 19, 65, 57, 189, 239, 1229, 929, 2681, 12845, 29311}},
+{3519, 15, 15016, {1, 3, 1, 11, 13, 47, 61, 203, 383, 875, 943, 139, 4217, 8279, 1047}},
+{3520, 15, 15024, {1, 3, 7, 13, 23, 7, 1, 69, 47, 537, 1325, 3101, 685, 14057, 19953}},
+{3521, 15, 15030, {1, 3, 3, 1, 1, 7, 39, 77, 47, 755, 527, 2985, 5433, 15095, 27741}},
+{3522, 15, 15048, {1, 1, 7, 5, 23, 57, 79, 155, 81, 937, 1071, 3929, 1655, 3831, 17351}},
+{3523, 15, 15054, {1, 3, 7, 1, 3, 41, 13, 235, 207, 487, 1883, 2247, 1231, 2751, 15615}},
+{3524, 15, 15066, {1, 1, 7, 1, 21, 57, 95, 191, 119, 483, 283, 2221, 5665, 14819, 26097}},
+{3525, 15, 15071, {1, 3, 1, 1, 9, 59, 27, 51, 393, 31, 925, 715, 7705, 14885, 28767}},
+{3526, 15, 15072, {1, 1, 3, 3, 3, 61, 109, 131, 113, 249, 1331, 2521, 2973, 6375, 20093}},
+{3527, 15, 15075, {1, 3, 7, 9, 31, 37, 125, 245, 237, 245, 111, 379, 7495, 15531, 2325}},
+{3528, 15, 15119, {1, 3, 7, 13, 21, 21, 57, 21, 449, 969, 417, 2999, 509, 639, 7797}},
+{3529, 15, 15121, {1, 3, 7, 7, 7, 29, 11, 175, 55, 705, 891, 863, 3021, 10071, 10267}},
+{3530, 15, 15133, {1, 1, 3, 13, 19, 17, 127, 57, 449, 579, 337, 899, 1235, 11269, 4245}},
+{3531, 15, 15138, {1, 1, 1, 11, 29, 61, 35, 75, 249, 683, 287, 45, 3277, 7521, 2073}},
+{3532, 15, 15143, {1, 3, 5, 5, 15, 25, 77, 63, 63, 801, 1387, 1533, 2185, 10899, 28381}},
+{3533, 15, 15170, {1, 3, 1, 1, 21, 49, 3, 249, 419, 575, 87, 3749, 2523, 16125, 9483}},
+{3534, 15, 15194, {1, 1, 1, 11, 21, 43, 85, 211, 449, 439, 1495, 1841, 4765, 15253, 1467}},
+{3535, 15, 15212, {1, 3, 3, 15, 3, 37, 31, 243, 187, 995, 1103, 2723, 1523, 15967, 28649}},
+{3536, 15, 15223, {1, 1, 5, 11, 9, 11, 17, 87, 335, 125, 1079, 1657, 1237, 8059, 29833}},
+{3537, 15, 15229, {1, 3, 1, 3, 3, 41, 35, 37, 33, 61, 505, 3203, 5, 101, 8571}},
+{3538, 15, 15254, {1, 1, 3, 11, 9, 11, 85, 235, 261, 473, 109, 2127, 5745, 6389, 7431}},
+{3539, 15, 15263, {1, 1, 5, 15, 3, 55, 77, 97, 17, 193, 1267, 3063, 6531, 9797, 8639}},
+{3540, 15, 15270, {1, 1, 5, 5, 25, 41, 79, 83, 485, 697, 149, 1023, 89, 6115, 15227}},
+{3541, 15, 15273, {1, 1, 3, 15, 1, 9, 73, 251, 33, 599, 1017, 353, 4305, 16033, 29663}},
+{3542, 15, 15287, {1, 3, 7, 15, 3, 1, 89, 39, 125, 337, 1445, 3131, 3685, 9849, 25829}},
+{3543, 15, 15299, {1, 3, 7, 3, 19, 1, 63, 179, 349, 135, 185, 2977, 2527, 15087, 18133}},
+{3544, 15, 15301, {1, 1, 3, 3, 23, 7, 91, 221, 325, 723, 345, 81, 8077, 5501, 8453}},
+{3545, 15, 15306, {1, 1, 3, 9, 7, 3, 13, 173, 479, 161, 1989, 3255, 2069, 6717, 559}},
+{3546, 15, 15313, {1, 3, 3, 5, 9, 61, 93, 203, 277, 367, 1141, 981, 4745, 12625, 21003}},
+{3547, 15, 15320, {1, 3, 5, 5, 27, 17, 5, 211, 403, 701, 5, 3091, 4611, 5615, 23667}},
+{3548, 15, 15323, {1, 1, 3, 1, 21, 61, 125, 77, 57, 463, 1499, 791, 2087, 2805, 18829}},
+{3549, 15, 15329, {1, 3, 5, 3, 11, 41, 125, 231, 119, 837, 831, 1331, 7439, 2381, 3759}},
+{3550, 15, 15332, {1, 3, 1, 11, 19, 59, 117, 107, 443, 699, 315, 1491, 2581, 15871, 17159}},
+{3551, 15, 15341, {1, 3, 5, 11, 5, 9, 121, 35, 209, 877, 527, 3493, 4657, 16093, 17589}},
+{3552, 15, 15359, {1, 1, 7, 15, 9, 43, 119, 29, 381, 479, 1443, 3171, 5053, 9625, 21161}},
+{3553, 15, 15361, {1, 1, 3, 5, 15, 21, 31, 223, 83, 399, 1529, 3605, 6343, 10469, 10099}},
+{3554, 15, 15364, {1, 1, 3, 5, 5, 45, 23, 123, 353, 971, 85, 3069, 3245, 6569, 13241}},
+{3555, 15, 15367, {1, 1, 1, 3, 25, 49, 5, 77, 491, 881, 993, 1195, 7677, 5709, 10807}},
+{3556, 15, 15379, {1, 3, 3, 3, 5, 49, 127, 255, 183, 583, 1599, 987, 7281, 7149, 28507}},
+{3557, 15, 15391, {1, 1, 5, 1, 13, 55, 55, 157, 197, 25, 1971, 3161, 3903, 8919, 13563}},
+{3558, 15, 15415, {1, 3, 7, 9, 3, 37, 79, 193, 25, 103, 843, 2651, 6341, 2653, 24337}},
+{3559, 15, 15416, {1, 1, 7, 3, 25, 49, 99, 139, 45, 211, 2033, 2331, 7037, 7177, 1755}},
+{3560, 15, 15419, {1, 3, 7, 3, 5, 19, 127, 135, 403, 221, 141, 1065, 3935, 2745, 25979}},
+{3561, 15, 15433, {1, 1, 3, 3, 31, 23, 111, 37, 261, 7, 835, 2379, 7927, 8181, 23751}},
+{3562, 15, 15469, {1, 3, 7, 15, 1, 39, 79, 3, 103, 427, 1917, 809, 5039, 689, 1939}},
+{3563, 15, 15478, {1, 1, 1, 15, 29, 37, 39, 243, 149, 353, 763, 3405, 5751, 9441, 6653}},
+{3564, 15, 15481, {1, 3, 3, 11, 1, 57, 125, 151, 445, 423, 841, 2265, 5017, 15863, 13057}},
+{3565, 15, 15482, {1, 3, 5, 13, 11, 49, 61, 159, 211, 917, 561, 1903, 3985, 11117, 28969}},
+{3566, 15, 15498, {1, 3, 5, 13, 29, 5, 35, 51, 91, 291, 9, 3713, 3341, 4551, 12085}},
+{3567, 15, 15505, {1, 3, 3, 1, 1, 39, 111, 141, 319, 179, 1709, 1605, 5063, 13279, 10003}},
+{3568, 15, 15517, {1, 1, 3, 9, 7, 59, 91, 41, 343, 475, 1669, 2311, 5141, 12661, 25847}},
+{3569, 15, 15518, {1, 3, 5, 9, 9, 11, 49, 221, 1, 243, 791, 229, 503, 373, 19189}},
+{3570, 15, 15527, {1, 1, 5, 11, 17, 13, 45, 57, 215, 491, 1601, 2183, 3713, 429, 22007}},
+{3571, 15, 15528, {1, 1, 3, 11, 31, 61, 23, 237, 261, 955, 1085, 1541, 2601, 909, 7749}},
+{3572, 15, 15545, {1, 1, 3, 9, 13, 11, 121, 173, 177, 551, 1757, 2745, 2265, 4611, 743}},
+{3573, 15, 15548, {1, 1, 3, 15, 23, 43, 107, 239, 463, 369, 1857, 1073, 1247, 1029, 22557}},
+{3574, 15, 15554, {1, 1, 3, 11, 23, 35, 89, 93, 41, 941, 1141, 2339, 1423, 8007, 28685}},
+{3575, 15, 15565, {1, 3, 5, 13, 29, 7, 79, 15, 59, 145, 1237, 2215, 1257, 12621, 31101}},
+{3576, 15, 15577, {1, 1, 3, 7, 13, 55, 57, 229, 205, 1009, 341, 3901, 5189, 957, 32587}},
+{3577, 15, 15580, {1, 3, 7, 11, 1, 1, 41, 7, 365, 407, 1609, 1423, 6483, 5171, 32519}},
+{3578, 15, 15587, {1, 3, 7, 3, 17, 31, 125, 27, 125, 335, 1395, 2639, 329, 2549, 14449}},
+{3579, 15, 15601, {1, 3, 3, 7, 19, 45, 11, 73, 123, 179, 1685, 3385, 2379, 3387, 16793}},
+{3580, 15, 15604, {1, 3, 7, 5, 31, 25, 47, 153, 121, 453, 935, 3953, 2081, 12145, 24979}},
+{3581, 15, 15611, {1, 1, 7, 13, 25, 11, 65, 3, 277, 237, 1129, 1801, 4165, 9065, 18747}},
+{3582, 15, 15616, {1, 1, 7, 7, 13, 5, 37, 253, 507, 645, 1355, 3401, 6707, 6329, 11237}},
+{3583, 15, 15619, {1, 1, 3, 15, 17, 49, 3, 233, 407, 451, 69, 3859, 3171, 12303, 21031}},
+{3584, 15, 15625, {1, 1, 3, 3, 9, 53, 119, 117, 401, 903, 1449, 3639, 4083, 2095, 22085}},
+{3585, 15, 15633, {1, 3, 7, 15, 5, 61, 117, 193, 137, 431, 195, 4019, 3047, 5049, 14281}},
+{3586, 15, 15674, {1, 1, 1, 15, 17, 19, 29, 83, 449, 257, 1105, 1949, 1749, 3459, 6343}},
+{3587, 15, 15681, {1, 1, 1, 15, 23, 39, 61, 219, 109, 365, 863, 1813, 6673, 15999, 5101}},
+{3588, 15, 15691, {1, 1, 5, 5, 13, 11, 37, 151, 365, 719, 1233, 2425, 1285, 1721, 1205}},
+{3589, 15, 15693, {1, 3, 3, 3, 7, 53, 109, 153, 45, 425, 1741, 1229, 4405, 8071, 25155}},
+{3590, 15, 15696, {1, 3, 1, 1, 1, 13, 39, 49, 413, 77, 1367, 2553, 5563, 7659, 3467}},
+{3591, 15, 15712, {1, 1, 5, 9, 3, 49, 23, 11, 445, 121, 1505, 877, 4137, 1809, 2429}},
+{3592, 15, 15717, {1, 1, 1, 11, 21, 13, 93, 33, 493, 805, 775, 2939, 2961, 13625, 31879}},
+{3593, 15, 15724, {1, 1, 7, 5, 1, 59, 63, 131, 373, 23, 337, 2107, 5315, 4889, 22851}},
+{3594, 15, 15727, {1, 1, 3, 13, 21, 47, 15, 131, 353, 793, 1891, 1757, 5793, 1147, 23697}},
+{3595, 15, 15730, {1, 3, 5, 13, 7, 59, 25, 135, 259, 109, 1835, 429, 8153, 7355, 145}},
+{3596, 15, 15746, {1, 3, 3, 13, 9, 47, 121, 89, 89, 635, 1079, 2353, 4803, 11369, 12653}},
+{3597, 15, 15751, {1, 3, 5, 9, 23, 39, 49, 231, 105, 603, 613, 2021, 6073, 11819, 10595}},
+{3598, 15, 15760, {1, 3, 7, 7, 7, 19, 19, 155, 347, 387, 1459, 3793, 619, 14437, 2455}},
+{3599, 15, 15770, {1, 1, 1, 15, 21, 35, 19, 185, 483, 425, 479, 3429, 5403, 10791, 14219}},
+{3600, 15, 15782, {1, 1, 3, 11, 5, 51, 105, 63, 493, 677, 1457, 2865, 5619, 9321, 19583}},
+{3601, 15, 15791, {1, 1, 3, 3, 23, 1, 77, 177, 263, 289, 1567, 3837, 5359, 3269, 16023}},
+{3602, 15, 15796, {1, 1, 7, 3, 13, 61, 79, 77, 51, 953, 1417, 795, 4467, 2981, 25131}},
+{3603, 15, 15808, {1, 1, 5, 13, 23, 13, 29, 185, 337, 7, 149, 3609, 8119, 9545, 16579}},
+{3604, 15, 15814, {1, 3, 1, 5, 23, 9, 123, 15, 99, 55, 1021, 3709, 1521, 15189, 22193}},
+{3605, 15, 15825, {1, 3, 7, 9, 13, 41, 39, 45, 49, 181, 1587, 3213, 1037, 14775, 3333}},
+{3606, 15, 15828, {1, 1, 1, 7, 29, 55, 59, 31, 411, 601, 191, 283, 3211, 7951, 7919}},
+{3607, 15, 15835, {1, 1, 7, 7, 21, 47, 7, 193, 343, 831, 1267, 3289, 1015, 13093, 2717}},
+{3608, 15, 15844, {1, 3, 7, 1, 17, 9, 97, 19, 279, 827, 1699, 3573, 3137, 3535, 17791}},
+{3609, 15, 15847, {1, 1, 5, 11, 27, 15, 103, 135, 35, 625, 1575, 97, 7013, 13353, 19333}},
+{3610, 15, 15853, {1, 3, 3, 7, 17, 13, 49, 135, 435, 743, 1799, 2655, 4839, 2893, 31153}},
+{3611, 15, 15856, {1, 1, 5, 1, 3, 41, 1, 195, 53, 803, 1575, 2939, 3873, 10495, 5211}},
+{3612, 15, 15877, {1, 3, 1, 15, 19, 19, 37, 59, 355, 483, 685, 3899, 4645, 15127, 3479}},
+{3613, 15, 15878, {1, 1, 5, 3, 25, 9, 9, 229, 101, 631, 1165, 4091, 3723, 10655, 9463}},
+{3614, 15, 15887, {1, 3, 5, 15, 5, 13, 91, 61, 19, 469, 1675, 3331, 3121, 3435, 4111}},
+{3615, 15, 15908, {1, 1, 7, 1, 31, 61, 23, 83, 165, 551, 1097, 3825, 5385, 4723, 3635}},
+{3616, 15, 15917, {1, 3, 7, 15, 9, 31, 11, 121, 503, 855, 561, 1647, 1229, 1147, 15997}},
+{3617, 15, 15923, {1, 3, 7, 13, 21, 47, 41, 195, 197, 719, 1263, 3609, 7515, 2659, 30713}},
+{3618, 15, 15930, {1, 1, 1, 7, 31, 61, 101, 101, 479, 571, 605, 301, 6633, 15587, 23665}},
+{3619, 15, 15937, {1, 3, 7, 3, 25, 39, 35, 225, 135, 463, 53, 709, 5129, 4135, 10421}},
+{3620, 15, 15958, {1, 1, 5, 13, 19, 55, 107, 15, 163, 287, 673, 899, 5197, 4619, 3465}},
+{3621, 15, 15977, {1, 3, 3, 5, 21, 49, 15, 105, 283, 877, 1875, 1079, 3431, 13053, 26599}},
+{3622, 15, 15991, {1, 1, 7, 1, 1, 1, 95, 113, 119, 575, 1159, 2325, 6895, 12177, 4369}},
+{3623, 15, 16007, {1, 1, 1, 11, 25, 25, 83, 207, 301, 729, 1947, 2321, 3621, 15707, 11303}},
+{3624, 15, 16011, {1, 1, 5, 5, 7, 63, 83, 105, 211, 175, 1817, 2883, 5385, 7437, 24865}},
+{3625, 15, 16014, {1, 3, 7, 5, 23, 39, 19, 211, 151, 295, 573, 223, 5065, 6345, 23187}},
+{3626, 15, 16021, {1, 1, 7, 11, 15, 31, 89, 123, 57, 695, 685, 1799, 659, 9929, 22933}},
+{3627, 15, 16022, {1, 1, 7, 7, 19, 17, 27, 137, 117, 141, 1481, 869, 7061, 3073, 19671}},
+{3628, 15, 16028, {1, 3, 3, 11, 9, 19, 123, 93, 39, 517, 883, 3769, 2267, 8089, 6617}},
+{3629, 15, 16035, {1, 3, 1, 7, 9, 61, 51, 241, 319, 853, 1239, 899, 105, 1677, 29351}},
+{3630, 15, 16041, {1, 1, 7, 15, 13, 59, 85, 175, 223, 87, 905, 3175, 3405, 3489, 18475}},
+{3631, 15, 16056, {1, 1, 1, 15, 1, 55, 79, 97, 315, 605, 851, 4015, 3689, 9371, 31523}},
+{3632, 15, 16069, {1, 1, 5, 15, 1, 39, 91, 27, 211, 881, 1375, 2307, 5791, 10185, 23093}},
+{3633, 15, 16076, {1, 3, 1, 5, 3, 17, 59, 219, 105, 623, 21, 2843, 3427, 4799, 3793}},
+{3634, 15, 16081, {1, 3, 3, 7, 21, 55, 17, 29, 397, 93, 1981, 4047, 935, 5971, 14589}},
+{3635, 15, 16087, {1, 1, 3, 9, 5, 57, 63, 27, 373, 815, 167, 205, 367, 4945, 30041}},
+{3636, 15, 16088, {1, 1, 5, 9, 7, 3, 69, 35, 197, 309, 1729, 3735, 1523, 10427, 26253}},
+{3637, 15, 16110, {1, 1, 3, 7, 7, 49, 35, 189, 297, 311, 2025, 305, 3863, 14393, 2533}},
+{3638, 15, 16112, {1, 3, 3, 9, 17, 31, 5, 17, 167, 601, 909, 3149, 2533, 12123, 25325}},
+{3639, 15, 16117, {1, 3, 5, 3, 11, 41, 69, 199, 79, 611, 133, 3519, 5955, 4609, 27403}},
+{3640, 15, 16150, {1, 3, 3, 13, 3, 17, 53, 165, 361, 797, 1447, 869, 6707, 6541, 32249}},
+{3641, 15, 16153, {1, 3, 1, 1, 29, 47, 17, 45, 473, 199, 1595, 3095, 3635, 6965, 21859}},
+{3642, 15, 16160, {1, 1, 3, 9, 1, 15, 59, 163, 91, 811, 1087, 1707, 6743, 12643, 29901}},
+{3643, 15, 16166, {1, 1, 1, 3, 19, 21, 7, 209, 121, 821, 709, 1085, 5333, 7689, 28355}},
+{3644, 15, 16172, {1, 3, 1, 15, 5, 27, 115, 31, 37, 79, 1347, 155, 3709, 13251, 32151}},
+{3645, 15, 16190, {1, 3, 7, 15, 27, 27, 127, 231, 137, 205, 1665, 1461, 299, 2797, 879}},
+{3646, 15, 16195, {1, 1, 1, 7, 13, 3, 127, 13, 253, 481, 1435, 1895, 2665, 7611, 17761}},
+{3647, 15, 16204, {1, 1, 3, 7, 7, 21, 71, 247, 301, 183, 1785, 331, 4835, 2251, 4493}},
+{3648, 15, 16216, {1, 3, 7, 9, 9, 1, 77, 169, 103, 647, 1959, 1847, 5803, 3421, 15915}},
+{3649, 15, 16222, {1, 3, 1, 7, 19, 17, 81, 45, 263, 549, 1607, 2177, 1117, 14427, 16451}},
+{3650, 15, 16228, {1, 1, 7, 15, 27, 25, 27, 27, 33, 813, 1667, 253, 2749, 927, 29707}},
+{3651, 15, 16245, {1, 1, 7, 3, 17, 29, 13, 67, 417, 303, 19, 3809, 7225, 12775, 3933}},
+{3652, 15, 16255, {1, 1, 1, 11, 13, 41, 77, 217, 281, 659, 1099, 3047, 1619, 525, 4313}},
+{3653, 15, 16265, {1, 3, 3, 9, 23, 47, 5, 33, 219, 531, 77, 2307, 1893, 8335, 8281}},
+{3654, 15, 16273, {1, 3, 7, 3, 3, 35, 27, 249, 159, 495, 431, 3001, 1475, 11505, 15693}},
+{3655, 15, 16276, {1, 1, 5, 9, 21, 49, 43, 159, 465, 959, 179, 993, 121, 11569, 21027}},
+{3656, 15, 16283, {1, 3, 1, 5, 1, 61, 9, 221, 231, 55, 191, 2829, 3331, 8911, 15109}},
+{3657, 15, 16295, {1, 1, 7, 1, 7, 35, 67, 97, 159, 191, 935, 3151, 6397, 10751, 1835}},
+{3658, 15, 16304, {1, 1, 1, 7, 15, 39, 127, 163, 437, 333, 829, 753, 8151, 13239, 523}},
+{3659, 15, 16313, {1, 1, 3, 13, 9, 25, 73, 155, 445, 239, 2035, 15, 5243, 15531, 1733}},
+{3660, 15, 16319, {1, 3, 7, 15, 5, 25, 3, 55, 117, 57, 783, 1509, 7043, 13159, 8557}},
+{3661, 15, 16328, {1, 3, 5, 1, 21, 55, 89, 119, 199, 79, 161, 1597, 3263, 3335, 5757}},
+{3662, 15, 16345, {1, 3, 7, 5, 27, 23, 85, 113, 111, 211, 389, 1513, 2759, 7945, 931}},
+{3663, 15, 16355, {1, 1, 1, 7, 1, 5, 17, 177, 357, 619, 5, 2583, 621, 2973, 28845}},
+{3664, 15, 16364, {1, 3, 7, 13, 11, 21, 47, 99, 421, 279, 1541, 1305, 4571, 6127, 20735}},
+{3665, 15, 16372, {1, 3, 5, 5, 23, 43, 19, 137, 425, 409, 1625, 2671, 4385, 3197, 25753}},
+{3666, 15, 16375, {1, 1, 7, 5, 27, 17, 57, 15, 383, 181, 951, 2115, 5237, 1495, 9671}},
+{3667, 15, 16382, {1, 3, 3, 11, 9, 1, 53, 127, 375, 499, 1487, 121, 1465, 3175, 24337}},
+{3668, 16, 22, {1, 3, 7, 11, 29, 35, 67, 129, 221, 439, 1159, 3501, 7741, 8885, 11381, 20707}},
+{3669, 16, 28, {1, 3, 5, 11, 29, 59, 23, 117, 343, 637, 1825, 1687, 2823, 11641, 3311, 23603}},
+{3670, 16, 31, {1, 1, 5, 11, 1, 35, 103, 155, 233, 575, 1761, 503, 4175, 6105, 29737, 32681}},
+{3671, 16, 41, {1, 3, 3, 1, 5, 63, 27, 71, 245, 433, 1779, 2475, 5479, 4705, 10795, 34247}},
+{3672, 16, 94, {1, 3, 5, 7, 29, 45, 117, 5, 393, 849, 843, 3131, 6995, 9979, 28907, 30115}},
+{3673, 16, 107, {1, 3, 5, 9, 27, 29, 69, 5, 395, 561, 1531, 409, 2779, 8785, 16405, 27315}},
+{3674, 16, 151, {1, 3, 1, 9, 15, 29, 85, 3, 331, 19, 1941, 567, 6957, 747, 1627, 11347}},
+{3675, 16, 158, {1, 1, 3, 9, 27, 45, 47, 127, 133, 921, 1817, 2231, 6333, 14371, 12799, 9831}},
+{3676, 16, 167, {1, 1, 5, 15, 31, 7, 125, 13, 455, 159, 331, 3629, 4705, 11261, 3657, 36307}},
+{3677, 16, 174, {1, 1, 5, 9, 11, 53, 51, 35, 87, 885, 1975, 3899, 1013, 7667, 32385, 33635}},
+{3678, 16, 203, {1, 1, 1, 3, 7, 45, 107, 177, 193, 765, 731, 139, 5563, 623, 16485, 54999}},
+{3679, 16, 208, {1, 1, 5, 9, 17, 53, 117, 69, 385, 587, 1483, 149, 2769, 3013, 18183, 10173}},
+{3680, 16, 214, {1, 1, 5, 11, 5, 3, 25, 153, 351, 749, 801, 3077, 3209, 11189, 25241, 14115}},
+{3681, 16, 223, {1, 1, 7, 9, 1, 47, 41, 247, 135, 163, 899, 1517, 5647, 10595, 32531, 12497}},
+{3682, 16, 227, {1, 3, 5, 11, 5, 61, 111, 215, 251, 279, 825, 2155, 3527, 173, 10973, 59257}},
+{3683, 16, 266, {1, 3, 5, 11, 25, 15, 71, 83, 135, 231, 1415, 3761, 7513, 8337, 28979, 43615}},
+{3684, 16, 268, {1, 3, 5, 13, 19, 5, 55, 165, 141, 119, 1891, 2255, 4735, 16217, 26195, 50527}},
+{3685, 16, 274, {1, 1, 7, 15, 23, 59, 59, 191, 1, 855, 453, 2619, 5013, 14749, 24335, 44339}},
+{3686, 16, 279, {1, 1, 1, 13, 15, 41, 51, 147, 229, 495, 1191, 867, 1525, 581, 29713, 26391}},
+{3687, 16, 302, {1, 1, 1, 9, 29, 5, 59, 127, 105, 417, 301, 2249, 6335, 3513, 17373, 52977}},
+{3688, 16, 310, {1, 1, 3, 7, 21, 27, 109, 143, 63, 347, 1429, 2889, 2597, 10243, 9913, 22687}},
+{3689, 16, 322, {1, 3, 5, 5, 7, 3, 125, 147, 313, 351, 1163, 415, 5615, 5571, 7089, 55621}},
+{3690, 16, 328, {1, 3, 3, 3, 31, 43, 101, 93, 9, 671, 135, 333, 2169, 11169, 7403, 50707}},
+{3691, 16, 336, {1, 1, 7, 13, 15, 33, 125, 155, 227, 827, 1047, 2441, 3007, 10881, 19969, 63805}},
+{3692, 16, 370, {1, 3, 3, 5, 31, 33, 29, 249, 159, 797, 1475, 841, 6933, 6417, 25629, 61865}},
+{3693, 16, 398, {1, 3, 3, 15, 11, 55, 11, 117, 149, 911, 1589, 3133, 6477, 6123, 10471, 41099}},
+{3694, 16, 421, {1, 3, 3, 9, 27, 37, 1, 119, 509, 969, 831, 3771, 2093, 13621, 31737, 43269}},
+{3695, 16, 436, {1, 1, 1, 1, 9, 23, 119, 109, 487, 753, 1673, 2163, 3349, 4741, 29971, 3407}},
+{3696, 16, 440, {1, 3, 3, 7, 25, 7, 67, 9, 461, 631, 651, 2271, 5663, 2621, 3953, 20975}},
+{3697, 16, 451, {1, 1, 5, 11, 13, 31, 29, 255, 371, 517, 845, 3649, 1187, 10061, 22887, 58417}},
+{3698, 16, 454, {1, 3, 5, 13, 29, 1, 11, 137, 151, 249, 167, 1243, 997, 11023, 11875, 42315}},
+{3699, 16, 463, {1, 1, 5, 5, 5, 55, 103, 71, 255, 1023, 209, 1005, 2147, 11527, 17863, 6661}},
+{3700, 16, 465, {1, 1, 3, 3, 31, 39, 7, 151, 353, 775, 1313, 1257, 4197, 2625, 9571, 27269}},
+{3701, 16, 494, {1, 1, 1, 3, 7, 17, 3, 127, 501, 503, 1879, 2329, 3049, 10603, 2111, 33189}},
+{3702, 16, 508, {1, 3, 3, 7, 13, 59, 93, 13, 375, 483, 1991, 2257, 3003, 1699, 4339, 51827}},
+{3703, 16, 532, {1, 3, 7, 15, 27, 41, 59, 225, 405, 807, 1545, 2581, 1173, 14137, 3413, 39299}},
+{3704, 16, 555, {1, 1, 1, 3, 9, 23, 37, 123, 465, 1023, 1065, 1455, 5107, 3839, 20451, 11461}},
+{3705, 16, 563, {1, 1, 1, 11, 19, 55, 91, 121, 317, 199, 215, 3031, 7223, 11891, 21463, 64921}},
+{3706, 16, 577, {1, 3, 7, 11, 19, 5, 5, 115, 399, 219, 71, 1465, 281, 14451, 26807, 42541}},
+{3707, 16, 580, {1, 3, 5, 13, 3, 33, 75, 35, 19, 559, 761, 947, 7479, 15325, 31453, 20561}},
+{3708, 16, 584, {1, 3, 3, 13, 23, 47, 99, 73, 331, 353, 401, 1737, 6235, 13781, 5547, 56443}},
+{3709, 16, 607, {1, 3, 3, 13, 21, 37, 41, 205, 87, 399, 51, 3175, 7403, 12875, 21129, 7079}},
+{3710, 16, 608, {1, 3, 5, 11, 15, 47, 33, 39, 465, 871, 277, 2351, 695, 1953, 24293, 20595}},
+{3711, 16, 665, {1, 1, 7, 11, 13, 15, 115, 59, 469, 715, 191, 1927, 905, 13463, 29005, 46789}},
+{3712, 16, 675, {1, 3, 5, 9, 13, 55, 79, 17, 265, 887, 905, 3985, 6907, 3379, 20055, 58569}},
+{3713, 16, 692, {1, 1, 7, 11, 21, 29, 23, 109, 17, 427, 1623, 2219, 3857, 3709, 25033, 63823}},
+{3714, 16, 707, {1, 3, 5, 15, 19, 27, 113, 15, 25, 63, 1885, 2693, 5301, 9385, 14137, 26097}},
+{3715, 16, 737, {1, 3, 3, 11, 17, 5, 73, 143, 79, 957, 461, 1709, 4909, 2285, 18113, 8401}},
+{3716, 16, 750, {1, 1, 3, 7, 9, 9, 101, 127, 137, 755, 1359, 1965, 83, 13335, 27763, 7941}},
+{3717, 16, 757, {1, 1, 1, 3, 13, 61, 95, 61, 295, 615, 555, 2163, 8155, 14043, 21465, 46741}},
+{3718, 16, 800, {1, 1, 1, 13, 29, 19, 111, 17, 373, 153, 1703, 2199, 7209, 15845, 1879, 7493}},
+{3719, 16, 805, {1, 3, 1, 13, 21, 51, 49, 51, 255, 151, 207, 1915, 7629, 2705, 8739, 7467}},
+{3720, 16, 809, {1, 3, 7, 5, 21, 21, 23, 193, 467, 739, 519, 2315, 2953, 10633, 9163, 6007}},
+{3721, 16, 837, {1, 3, 1, 5, 23, 19, 23, 247, 93, 297, 1089, 2349, 4683, 13609, 7615, 18647}},
+{3722, 16, 865, {1, 1, 3, 3, 21, 39, 19, 71, 93, 1, 133, 3531, 7503, 2819, 24211, 1739}},
+{3723, 16, 949, {1, 3, 5, 13, 9, 43, 31, 111, 493, 739, 705, 2715, 3613, 11877, 27945, 46053}},
+{3724, 16, 950, {1, 1, 7, 13, 27, 59, 103, 129, 53, 531, 1379, 1441, 5341, 14937, 5079, 39881}},
+{3725, 16, 956, {1, 1, 3, 3, 11, 63, 91, 95, 433, 393, 715, 809, 591, 4141, 17417, 54107}},
+{3726, 16, 961, {1, 3, 5, 1, 7, 25, 25, 175, 205, 803, 183, 1441, 1279, 2753, 20001, 56677}},
+{3727, 16, 1016, {1, 1, 5, 3, 13, 23, 77, 25, 133, 137, 1907, 1313, 2463, 14339, 13, 57757}},
+{3728, 16, 1030, {1, 1, 5, 9, 23, 35, 1, 119, 111, 61, 403, 1815, 1985, 5651, 10883, 55943}},
+{3729, 16, 1072, {1, 3, 1, 7, 21, 43, 115, 7, 107, 719, 759, 1521, 467, 8735, 29785, 63821}},
+{3730, 16, 1119, {1, 1, 3, 13, 19, 17, 51, 141, 399, 569, 703, 2221, 2809, 13355, 1907, 15837}},
+{3731, 16, 1130, {1, 1, 5, 15, 15, 53, 57, 31, 481, 69, 1439, 4049, 6727, 11307, 20683, 63517}},
+{3732, 16, 1135, {1, 1, 1, 3, 13, 27, 9, 255, 363, 131, 1745, 2489, 6451, 6585, 12873, 35405}},
+{3733, 16, 1137, {1, 3, 5, 1, 17, 31, 113, 135, 449, 915, 1017, 2317, 6821, 5483, 30707, 45279}},
+{3734, 16, 1144, {1, 3, 5, 1, 13, 47, 25, 53, 413, 545, 1777, 3049, 7527, 9689, 25935, 9919}},
+{3735, 16, 1149, {1, 3, 7, 11, 17, 39, 13, 131, 295, 517, 1755, 2977, 6267, 12351, 8957, 17765}},
+{3736, 16, 1180, {1, 1, 7, 5, 27, 57, 47, 21, 125, 429, 1169, 1717, 5455, 16359, 29065, 6671}},
+{3737, 16, 1214, {1, 1, 5, 5, 21, 15, 79, 241, 83, 515, 859, 2351, 3125, 7465, 30475, 19759}},
+{3738, 16, 1221, {1, 3, 1, 9, 11, 5, 81, 11, 7, 221, 141, 3329, 3435, 323, 18999, 54735}},
+{3739, 16, 1234, {1, 1, 1, 15, 7, 57, 87, 251, 63, 561, 929, 1367, 2511, 14527, 9335, 38775}},
+{3740, 16, 1239, {1, 3, 3, 9, 23, 37, 59, 105, 179, 515, 235, 2445, 433, 13039, 27005, 48829}},
+{3741, 16, 1249, {1, 1, 1, 1, 23, 37, 103, 31, 89, 921, 1687, 831, 387, 10237, 1241, 19295}},
+{3742, 16, 1250, {1, 3, 3, 7, 25, 23, 57, 251, 309, 579, 603, 807, 7383, 8579, 4025, 16757}},
+{3743, 16, 1267, {1, 1, 3, 15, 23, 59, 29, 33, 467, 641, 1271, 2915, 2549, 14767, 26557, 43483}},
+{3744, 16, 1273, {1, 1, 7, 13, 1, 57, 23, 129, 321, 75, 189, 4087, 5011, 4355, 25759, 37153}},
+{3745, 16, 1342, {1, 1, 5, 1, 21, 57, 25, 183, 37, 669, 259, 1381, 877, 10245, 16643, 61035}},
+{3746, 16, 1344, {1, 1, 7, 5, 11, 11, 85, 141, 393, 957, 1745, 2243, 1681, 5583, 16527, 12017}},
+{3747, 16, 1373, {1, 1, 5, 15, 23, 31, 5, 169, 287, 527, 1831, 2937, 7533, 9739, 24305, 2239}},
+{3748, 16, 1378, {1, 1, 7, 1, 7, 13, 3, 243, 189, 309, 607, 3659, 6369, 7649, 24255, 55373}},
+{3749, 16, 1408, {1, 1, 1, 3, 3, 59, 103, 209, 287, 913, 1223, 1063, 7715, 6073, 26697, 25671}},
+{3750, 16, 1417, {1, 3, 7, 5, 19, 19, 117, 191, 275, 637, 991, 2199, 2921, 10553, 21211, 25981}},
+{3751, 16, 1418, {1, 3, 3, 5, 29, 59, 17, 13, 127, 57, 1405, 3181, 2237, 1795, 21419, 43421}},
+{3752, 16, 1448, {1, 1, 1, 15, 25, 41, 11, 117, 463, 425, 305, 1441, 4307, 7967, 17529, 4043}},
+{3753, 16, 1454, {1, 3, 5, 5, 19, 53, 69, 73, 453, 611, 1583, 1721, 6303, 10561, 18527, 48973}},
+{3754, 16, 1510, {1, 1, 7, 11, 15, 61, 87, 69, 463, 771, 819, 469, 8165, 8897, 29657, 55161}},
+{3755, 16, 1513, {1, 1, 5, 1, 15, 25, 23, 47, 287, 457, 1219, 473, 4127, 3349, 9425, 41541}},
+{3756, 16, 1522, {1, 3, 7, 5, 17, 17, 33, 161, 239, 231, 241, 1297, 4879, 12761, 20939, 65261}},
+{3757, 16, 1543, {1, 3, 3, 9, 19, 53, 95, 89, 117, 333, 1815, 2217, 7779, 8213, 4667, 58395}},
+{3758, 16, 1550, {1, 3, 3, 9, 17, 7, 41, 99, 371, 797, 729, 2851, 2003, 4463, 20793, 54315}},
+{3759, 16, 1552, {1, 3, 5, 5, 23, 39, 19, 235, 163, 365, 141, 791, 455, 2761, 9115, 53351}},
+{3760, 16, 1588, {1, 3, 3, 3, 9, 27, 29, 139, 165, 867, 2023, 1333, 3771, 10451, 9141, 41177}},
+{3761, 16, 1592, {1, 1, 3, 7, 3, 11, 125, 157, 355, 519, 187, 3381, 1151, 1629, 25247, 42797}},
+{3762, 16, 1597, {1, 3, 3, 3, 21, 25, 37, 155, 257, 311, 961, 1945, 1383, 5679, 7857, 7183}},
+{3763, 16, 1606, {1, 3, 3, 5, 29, 11, 49, 125, 171, 605, 1923, 2781, 2555, 5063, 5075, 43301}},
+{3764, 16, 1610, {1, 3, 5, 9, 27, 1, 27, 149, 253, 205, 1299, 2901, 2891, 975, 7641, 8115}},
+{3765, 16, 1617, {1, 3, 5, 3, 31, 7, 49, 215, 81, 791, 1485, 837, 5051, 1947, 7521, 25723}},
+{3766, 16, 1623, {1, 3, 5, 7, 23, 25, 69, 13, 3, 859, 441, 3577, 1687, 6559, 8687, 46757}},
+{3767, 16, 1657, {1, 1, 1, 9, 1, 59, 3, 31, 251, 187, 617, 2607, 4635, 6121, 8565, 8871}},
+{3768, 16, 1697, {1, 3, 3, 9, 29, 37, 127, 87, 153, 633, 1691, 2729, 3167, 3219, 21237, 25573}},
+{3769, 16, 1729, {1, 1, 5, 13, 19, 63, 93, 235, 299, 621, 405, 663, 6639, 12265, 9303, 42719}},
+{3770, 16, 1735, {1, 1, 3, 9, 25, 11, 9, 231, 101, 335, 1793, 1497, 7069, 4171, 30199, 63}},
+{3771, 16, 1769, {1, 1, 1, 1, 5, 19, 17, 217, 165, 413, 925, 1409, 6559, 14537, 22057, 44331}},
+{3772, 16, 1778, {1, 1, 3, 7, 11, 51, 45, 217, 57, 795, 951, 2933, 6705, 137, 30525, 9679}},
+{3773, 16, 1826, {1, 1, 3, 15, 27, 47, 35, 125, 363, 619, 1027, 2861, 3923, 10459, 16789, 27277}},
+{3774, 16, 1858, {1, 1, 7, 7, 13, 37, 33, 29, 385, 851, 143, 119, 7345, 4251, 25121, 31609}},
+{3775, 16, 1870, {1, 3, 1, 1, 17, 25, 119, 7, 365, 397, 601, 2087, 6903, 15345, 14671, 37889}},
+{3776, 16, 1875, {1, 3, 1, 13, 19, 51, 41, 139, 133, 723, 25, 2621, 1257, 7037, 9527, 50037}},
+{3777, 16, 1922, {1, 1, 5, 11, 5, 59, 119, 75, 397, 545, 1095, 585, 3271, 1049, 123, 33029}},
+{3778, 16, 1924, {1, 1, 7, 11, 9, 27, 21, 197, 177, 31, 453, 2457, 2733, 7787, 1923, 24639}},
+{3779, 16, 1933, {1, 1, 7, 13, 29, 13, 91, 91, 243, 279, 601, 1699, 7169, 4727, 7815, 29099}},
+{3780, 16, 1972, {1, 3, 7, 5, 1, 35, 27, 235, 163, 913, 1479, 769, 7179, 1983, 25977, 55373}},
+{3781, 16, 1979, {1, 3, 5, 11, 9, 33, 99, 141, 301, 109, 1785, 129, 1707, 5181, 4797, 9979}},
+{3782, 16, 1987, {1, 1, 1, 13, 3, 47, 89, 43, 293, 87, 1689, 3885, 7747, 5607, 477, 31887}},
+{3783, 16, 1994, {1, 1, 5, 1, 9, 21, 73, 37, 45, 621, 1855, 3691, 4899, 2191, 13459, 23543}},
+{3784, 16, 2008, {1, 1, 1, 1, 7, 39, 61, 125, 341, 905, 213, 1755, 241, 13407, 8791, 10165}},
+{3785, 16, 2023, {1, 1, 1, 1, 19, 31, 79, 19, 55, 875, 1017, 1787, 4879, 533, 15029, 52295}},
+{3786, 16, 2029, {1, 3, 1, 1, 9, 59, 113, 71, 113, 649, 561, 71, 5253, 783, 7389, 19361}},
+{3787, 16, 2053, {1, 1, 1, 11, 5, 39, 61, 225, 291, 907, 795, 1099, 597, 11829, 15137, 42865}},
+{3788, 16, 2081, {1, 3, 1, 5, 25, 11, 71, 155, 271, 309, 1981, 1253, 463, 1133, 20833, 48625}},
+{3789, 16, 2087, {1, 3, 5, 9, 7, 41, 87, 241, 457, 899, 1493, 3675, 3025, 10607, 22569, 52813}},
+{3790, 16, 2094, {1, 3, 7, 13, 7, 37, 37, 103, 281, 915, 1259, 4049, 559, 173, 4123, 63767}},
+{3791, 16, 2111, {1, 3, 7, 15, 13, 57, 9, 51, 39, 549, 1431, 2887, 1081, 4643, 16331, 14221}},
+{3792, 16, 2113, {1, 3, 5, 7, 13, 1, 101, 125, 25, 713, 1423, 513, 3323, 9951, 7163, 20969}},
+{3793, 16, 2114, {1, 1, 7, 15, 11, 25, 25, 3, 47, 531, 1529, 471, 6191, 10051, 29671, 49085}},
+{3794, 16, 2123, {1, 1, 3, 5, 23, 51, 117, 141, 55, 275, 761, 1923, 6267, 2291, 3701, 26615}},
+{3795, 16, 2190, {1, 1, 7, 9, 15, 19, 111, 65, 137, 373, 1753, 3591, 1137, 11639, 28591, 27265}},
+{3796, 16, 2231, {1, 3, 1, 15, 29, 5, 67, 13, 425, 961, 453, 2481, 1407, 3479, 23303, 30407}},
+{3797, 16, 2276, {1, 1, 5, 3, 19, 39, 39, 123, 351, 77, 1339, 1765, 3767, 1907, 13627, 23877}},
+{3798, 16, 2285, {1, 3, 5, 9, 23, 7, 103, 177, 221, 197, 561, 2121, 7231, 12053, 30127, 29849}},
+{3799, 16, 2297, {1, 1, 5, 7, 15, 1, 3, 123, 197, 493, 171, 2425, 3865, 4061, 31883, 2491}},
+{3800, 16, 2336, {1, 1, 3, 13, 29, 33, 99, 67, 327, 969, 1793, 1871, 1839, 13059, 7605, 16797}},
+{3801, 16, 2345, {1, 3, 5, 11, 25, 53, 25, 93, 303, 623, 1889, 1471, 1213, 14459, 8527, 25095}},
+{3802, 16, 2353, {1, 1, 1, 13, 15, 3, 115, 3, 289, 743, 1855, 359, 2375, 13765, 19711, 40765}},
+{3803, 16, 2363, {1, 1, 7, 11, 27, 51, 85, 163, 219, 871, 637, 2011, 5981, 587, 17521, 17333}},
+{3804, 16, 2368, {1, 3, 5, 1, 21, 59, 49, 39, 305, 513, 2017, 285, 5817, 13123, 27765, 46741}},
+{3805, 16, 2373, {1, 3, 3, 7, 21, 39, 71, 163, 423, 845, 783, 397, 7319, 10677, 13407, 47471}},
+{3806, 16, 2391, {1, 3, 7, 5, 21, 59, 99, 179, 473, 687, 1393, 723, 2245, 2933, 25943, 7769}},
+{3807, 16, 2402, {1, 1, 5, 9, 5, 45, 71, 189, 165, 555, 643, 2289, 3133, 12319, 22209, 1533}},
+{3808, 16, 2413, {1, 1, 3, 9, 7, 43, 1, 155, 323, 169, 339, 2561, 4049, 4953, 5289, 8783}},
+{3809, 16, 2422, {1, 3, 1, 11, 15, 5, 25, 201, 267, 891, 561, 501, 575, 15147, 1743, 45237}},
+{3810, 16, 2425, {1, 3, 5, 13, 25, 27, 105, 205, 165, 795, 975, 943, 7413, 10299, 14839, 54895}},
+{3811, 16, 2461, {1, 1, 5, 1, 17, 43, 69, 103, 449, 917, 103, 945, 513, 709, 11647, 28065}},
+{3812, 16, 2462, {1, 1, 3, 15, 23, 51, 23, 7, 159, 743, 177, 3457, 415, 1775, 25353, 36385}},
+{3813, 16, 2490, {1, 3, 5, 13, 9, 63, 121, 19, 165, 449, 1523, 1959, 6901, 12281, 29149, 45999}},
+{3814, 16, 2492, {1, 3, 7, 11, 17, 19, 9, 155, 373, 753, 1313, 2205, 3571, 16317, 16151, 15325}},
+{3815, 16, 2510, {1, 3, 3, 7, 15, 43, 65, 183, 407, 123, 1151, 375, 3461, 6673, 12985, 21005}},
+{3816, 16, 2564, {1, 3, 7, 7, 9, 1, 87, 247, 489, 123, 1677, 1947, 7961, 13497, 27919, 28993}},
+{3817, 16, 2573, {1, 3, 3, 7, 19, 21, 95, 227, 217, 133, 69, 1535, 699, 3521, 29255, 34733}},
+{3818, 16, 2598, {1, 3, 5, 3, 7, 57, 45, 251, 407, 81, 1259, 2425, 2217, 13097, 12773, 14643}},
+{3819, 16, 2627, {1, 1, 1, 11, 23, 37, 13, 229, 467, 591, 1521, 469, 3763, 2289, 14233, 24053}},
+{3820, 16, 2633, {1, 3, 5, 1, 27, 53, 105, 5, 85, 765, 1973, 2597, 5725, 1063, 18145, 961}},
+{3821, 16, 2647, {1, 3, 7, 1, 21, 47, 115, 95, 403, 3, 1593, 3379, 7371, 15553, 12503, 57979}},
+{3822, 16, 2660, {1, 1, 3, 1, 1, 35, 121, 29, 379, 245, 919, 2673, 3503, 14197, 31193, 8355}},
+{3823, 16, 2664, {1, 3, 5, 11, 19, 49, 97, 7, 195, 1013, 1671, 3415, 2009, 13389, 4837, 27453}},
+{3824, 16, 2678, {1, 1, 5, 13, 9, 15, 115, 97, 463, 449, 303, 2681, 1215, 12559, 15685, 21321}},
+{3825, 16, 2684, {1, 3, 5, 13, 23, 5, 113, 193, 419, 301, 1121, 317, 5503, 4683, 25519, 65}},
+{3826, 16, 2691, {1, 3, 3, 7, 15, 29, 45, 97, 323, 475, 143, 1173, 4033, 8939, 31849, 3575}},
+{3827, 16, 2759, {1, 1, 7, 7, 21, 1, 101, 143, 197, 409, 855, 1753, 5211, 3763, 11139, 37309}},
+{3828, 16, 2768, {1, 1, 3, 13, 25, 33, 55, 45, 381, 349, 991, 535, 4823, 3701, 31629, 48037}},
+{3829, 16, 2773, {1, 3, 1, 11, 17, 51, 27, 57, 409, 551, 949, 365, 8093, 10831, 19697, 39437}},
+{3830, 16, 2794, {1, 3, 5, 3, 31, 33, 81, 49, 91, 865, 469, 2115, 377, 8237, 31907, 38239}},
+{3831, 16, 2813, {1, 1, 3, 7, 29, 59, 57, 17, 121, 889, 1557, 1797, 5001, 14209, 21355, 59739}},
+{3832, 16, 2831, {1, 1, 5, 9, 11, 45, 89, 87, 397, 785, 525, 1593, 5251, 12449, 23579, 54265}},
+{3833, 16, 2843, {1, 3, 5, 11, 5, 31, 19, 47, 207, 331, 91, 1691, 5171, 53, 15945, 33349}},
+{3834, 16, 2846, {1, 1, 1, 15, 11, 41, 91, 177, 505, 871, 815, 3673, 5631, 9915, 1133, 37861}},
+{3835, 16, 2849, {1, 3, 5, 5, 25, 63, 53, 231, 55, 51, 481, 303, 1859, 11973, 28557, 22045}},
+{3836, 16, 2856, {1, 1, 5, 3, 27, 11, 37, 91, 363, 411, 1131, 3369, 377, 6585, 7353, 42949}},
+{3837, 16, 2893, {1, 3, 1, 9, 31, 63, 83, 23, 405, 941, 119, 1471, 2509, 15507, 29239, 49613}},
+{3838, 16, 2901, {1, 1, 5, 1, 11, 63, 117, 237, 407, 231, 1425, 71, 8005, 4023, 9029, 59819}},
+{3839, 16, 2924, {1, 1, 5, 7, 1, 9, 43, 87, 351, 63, 1075, 3381, 5447, 2437, 24983, 26905}},
+{3840, 16, 2942, {1, 3, 7, 5, 5, 35, 33, 89, 251, 819, 1735, 2625, 6363, 6837, 27603, 26669}},
+{3841, 16, 2975, {1, 3, 7, 13, 29, 63, 51, 245, 371, 791, 907, 3499, 3033, 8443, 20023, 1805}},
+{3842, 16, 2979, {1, 1, 5, 7, 13, 15, 109, 197, 451, 709, 929, 3193, 5727, 11185, 29479, 1671}},
+{3843, 16, 2985, {1, 1, 7, 13, 19, 23, 97, 9, 359, 635, 777, 39, 893, 2531, 13563, 19295}},
+{3844, 16, 3020, {1, 1, 5, 1, 31, 63, 55, 7, 157, 877, 991, 1317, 1595, 2019, 21435, 52255}},
+{3845, 16, 3025, {1, 1, 5, 3, 19, 37, 23, 13, 335, 431, 483, 615, 2431, 505, 26245, 63323}},
+{3846, 16, 3028, {1, 3, 7, 5, 5, 9, 37, 65, 303, 423, 1907, 2661, 7213, 2975, 29045, 16243}},
+{3847, 16, 3051, {1, 3, 1, 5, 13, 37, 115, 217, 227, 159, 707, 1387, 943, 4935, 5503, 35171}},
+{3848, 16, 3127, {1, 3, 7, 9, 19, 15, 87, 233, 453, 159, 169, 1077, 2129, 413, 19773, 629}},
+{3849, 16, 3142, {1, 1, 5, 15, 29, 39, 37, 243, 233, 365, 1843, 2219, 1255, 15287, 603, 13511}},
+{3850, 16, 3145, {1, 1, 3, 3, 31, 53, 33, 125, 497, 597, 127, 1829, 3905, 2611, 4263, 40971}},
+{3851, 16, 3156, {1, 3, 5, 9, 11, 47, 71, 215, 383, 321, 1445, 135, 5953, 8791, 22073, 16537}},
+{3852, 16, 3165, {1, 3, 3, 13, 15, 7, 7, 133, 401, 459, 1117, 3165, 4105, 11943, 22431, 56821}},
+{3853, 16, 3196, {1, 1, 7, 9, 31, 39, 19, 7, 19, 401, 79, 3641, 6815, 1489, 7537, 49467}},
+{3854, 16, 3199, {1, 3, 7, 7, 17, 11, 91, 205, 251, 321, 515, 3521, 311, 3169, 271, 34749}},
+{3855, 16, 3217, {1, 3, 3, 7, 29, 15, 5, 153, 83, 603, 1373, 997, 4939, 9811, 243, 5375}},
+{3856, 16, 3218, {1, 1, 3, 11, 21, 47, 25, 221, 237, 177, 535, 2819, 6213, 7877, 26795, 36609}},
+{3857, 16, 3253, {1, 3, 7, 3, 31, 1, 69, 73, 47, 653, 139, 1649, 7183, 1293, 26507, 38415}},
+{3858, 16, 3258, {1, 1, 1, 13, 17, 41, 23, 73, 115, 509, 787, 3733, 1871, 171, 29967, 39941}},
+{3859, 16, 3260, {1, 3, 5, 1, 9, 7, 61, 23, 105, 381, 1421, 2887, 3717, 643, 26375, 57991}},
+{3860, 16, 3289, {1, 3, 3, 3, 19, 3, 101, 117, 393, 83, 1255, 3331, 6481, 8661, 20855, 28875}},
+{3861, 16, 3314, {1, 3, 5, 11, 21, 13, 111, 193, 51, 899, 159, 1989, 7931, 10511, 3933, 447}},
+{3862, 16, 3326, {1, 1, 5, 15, 23, 35, 49, 139, 397, 145, 597, 1847, 7077, 715, 20227, 42183}},
+{3863, 16, 3331, {1, 3, 3, 3, 17, 3, 87, 233, 35, 317, 337, 237, 6901, 3439, 20033, 10307}},
+{3864, 16, 3371, {1, 3, 5, 3, 11, 35, 13, 171, 7, 963, 1443, 1501, 7617, 963, 25453, 62589}},
+{3865, 16, 3381, {1, 1, 1, 5, 11, 9, 39, 175, 409, 411, 1407, 2743, 4255, 989, 15823, 1707}},
+{3866, 16, 3396, {1, 1, 7, 13, 27, 55, 63, 239, 355, 417, 2007, 2299, 2921, 1637, 10687, 60615}},
+{3867, 16, 3441, {1, 1, 7, 9, 5, 61, 57, 73, 263, 307, 2003, 1763, 639, 5885, 14709, 16985}},
+{3868, 16, 3442, {1, 1, 3, 3, 21, 55, 19, 249, 509, 533, 1361, 1397, 2777, 15523, 4389, 13339}},
+{3869, 16, 3460, {1, 3, 5, 15, 9, 3, 91, 237, 451, 299, 1541, 4083, 879, 7859, 21585, 14833}},
+{3870, 16, 3477, {1, 1, 7, 3, 31, 47, 49, 231, 123, 391, 1633, 2567, 5577, 1631, 27951, 22913}},
+{3871, 16, 3491, {1, 3, 7, 13, 11, 13, 1, 111, 183, 87, 839, 1915, 5523, 3677, 13065, 38225}},
+{3872, 16, 3493, {1, 1, 3, 7, 15, 15, 63, 241, 167, 345, 653, 701, 4725, 12911, 11545, 24475}},
+{3873, 16, 3543, {1, 1, 3, 7, 25, 15, 49, 235, 331, 639, 965, 1117, 7147, 3789, 3309, 20255}},
+{3874, 16, 3549, {1, 3, 5, 7, 7, 63, 93, 241, 253, 31, 951, 3723, 3359, 7303, 191, 36427}},
+{3875, 16, 3550, {1, 3, 7, 9, 9, 59, 5, 107, 181, 413, 1269, 3121, 1929, 11921, 8931, 47459}},
+{3876, 16, 3553, {1, 3, 1, 15, 25, 27, 13, 47, 295, 111, 1287, 2551, 4887, 4145, 17063, 42037}},
+{3877, 16, 3563, {1, 3, 3, 13, 17, 17, 21, 17, 491, 845, 1463, 1305, 1375, 16149, 19331, 25043}},
+{3878, 16, 3568, {1, 3, 5, 1, 27, 5, 93, 139, 283, 711, 1141, 1743, 5001, 8851, 19351, 12275}},
+{3879, 16, 3604, {1, 1, 1, 1, 23, 25, 51, 63, 429, 735, 201, 3785, 6677, 16375, 19681, 17857}},
+{3880, 16, 3632, {1, 3, 3, 3, 9, 63, 71, 147, 463, 465, 1163, 1045, 6967, 12537, 31853, 38391}},
+{3881, 16, 3650, {1, 3, 7, 1, 5, 51, 79, 239, 389, 3, 601, 3787, 7635, 16295, 1681, 63971}},
+{3882, 16, 3662, {1, 3, 1, 3, 5, 31, 103, 89, 321, 971, 783, 3685, 1155, 10353, 2167, 35423}},
+{3883, 16, 3674, {1, 1, 5, 15, 25, 19, 93, 59, 361, 217, 1141, 597, 5877, 15961, 1593, 22925}},
+{3884, 16, 3685, {1, 3, 1, 9, 25, 59, 69, 89, 477, 89, 487, 237, 5625, 9579, 30421, 21883}},
+{3885, 16, 3686, {1, 1, 3, 7, 1, 5, 13, 225, 9, 981, 1081, 1407, 6855, 15215, 21713, 62313}},
+{3886, 16, 3700, {1, 1, 7, 15, 11, 13, 119, 109, 151, 245, 1195, 3741, 755, 8047, 15431, 21001}},
+{3887, 16, 3703, {1, 3, 7, 3, 17, 47, 107, 137, 99, 255, 1597, 3281, 5779, 13487, 15061, 19199}},
+{3888, 16, 3704, {1, 1, 3, 3, 9, 39, 77, 227, 511, 839, 1375, 3887, 25, 14763, 13259, 217}},
+{3889, 16, 3723, {1, 3, 5, 7, 17, 3, 87, 61, 439, 287, 709, 4085, 4251, 8945, 28203, 24011}},
+{3890, 16, 3743, {1, 3, 1, 1, 29, 25, 49, 101, 209, 359, 285, 1593, 4161, 2943, 23225, 6381}},
+{3891, 16, 3753, {1, 1, 3, 13, 1, 45, 87, 7, 491, 399, 905, 1403, 4791, 7419, 14355, 47767}},
+{3892, 16, 3756, {1, 1, 7, 15, 13, 25, 111, 197, 297, 301, 499, 4007, 2235, 7681, 4641, 32447}},
+{3893, 16, 3759, {1, 1, 3, 3, 27, 41, 97, 83, 405, 353, 1609, 201, 1503, 10673, 29377, 20445}},
+{3894, 16, 3762, {1, 1, 7, 3, 9, 47, 65, 191, 207, 545, 377, 3011, 7361, 3467, 14073, 46769}},
+{3895, 16, 3771, {1, 1, 7, 5, 7, 39, 9, 91, 187, 949, 1829, 161, 3689, 4145, 32675, 23263}},
+{3896, 16, 3776, {1, 1, 5, 9, 29, 9, 83, 113, 77, 673, 613, 3645, 6671, 8583, 27701, 18615}},
+{3897, 16, 3779, {1, 3, 5, 9, 29, 13, 127, 247, 285, 845, 463, 539, 4441, 1867, 12469, 16213}},
+{3898, 16, 3839, {1, 3, 7, 15, 1, 29, 47, 157, 239, 595, 563, 1103, 3431, 2849, 28125, 19969}},
+{3899, 16, 3856, {1, 1, 1, 15, 25, 13, 1, 131, 57, 257, 2021, 169, 7603, 10721, 21675, 63171}},
+{3900, 16, 3871, {1, 3, 5, 3, 5, 19, 31, 57, 275, 381, 775, 681, 1145, 12237, 5141, 29375}},
+{3901, 16, 3887, {1, 3, 5, 13, 27, 13, 47, 201, 267, 581, 1563, 3845, 951, 7209, 27253, 19755}},
+{3902, 16, 3896, {1, 3, 5, 15, 19, 35, 57, 17, 61, 273, 967, 3029, 1747, 1753, 31321, 23711}},
+{3903, 16, 3901, {1, 1, 1, 5, 13, 13, 7, 177, 335, 393, 1401, 1411, 4703, 8259, 1281, 39835}},
+{3904, 16, 3916, {1, 1, 3, 15, 25, 27, 27, 121, 183, 105, 663, 1375, 6987, 7151, 13763, 39323}},
+{3905, 16, 3919, {1, 3, 7, 5, 15, 1, 81, 129, 455, 163, 675, 81, 3735, 14409, 7269, 16425}},
+{3906, 16, 3937, {1, 3, 3, 11, 13, 7, 79, 157, 165, 663, 229, 3539, 1837, 6485, 30729, 42157}},
+{3907, 16, 3943, {1, 1, 5, 15, 9, 9, 9, 47, 133, 863, 43, 1461, 511, 13991, 24781, 19221}},
+{3908, 16, 3955, {1, 3, 1, 7, 31, 33, 103, 13, 159, 689, 1353, 4025, 6051, 7683, 1741, 30047}},
+{3909, 16, 3961, {1, 1, 3, 11, 5, 45, 71, 219, 475, 585, 1207, 3163, 4661, 4713, 12729, 30445}},
+{3910, 16, 3988, {1, 3, 7, 5, 5, 53, 101, 227, 129, 521, 91, 1129, 4683, 11235, 24697, 45055}},
+{3911, 16, 3997, {1, 1, 3, 13, 1, 43, 7, 1, 73, 857, 1713, 185, 1685, 2369, 24187, 40419}},
+{3912, 16, 4011, {1, 1, 7, 7, 21, 7, 13, 177, 503, 1003, 1091, 2411, 1433, 9063, 13901, 3329}},
+{3913, 16, 4026, {1, 1, 7, 1, 7, 41, 99, 203, 325, 249, 1763, 545, 2981, 14125, 7815, 11385}},
+{3914, 16, 4033, {1, 3, 7, 11, 3, 11, 95, 137, 325, 701, 1177, 1631, 4483, 2955, 30229, 25577}},
+{3915, 16, 4045, {1, 1, 7, 7, 17, 45, 77, 103, 143, 97, 1963, 3635, 1539, 10491, 23483, 22767}},
+{3916, 16, 4060, {1, 1, 7, 15, 7, 5, 81, 63, 243, 55, 39, 207, 2315, 8285, 8155, 11631}},
+{3917, 16, 4063, {1, 3, 5, 15, 23, 19, 115, 9, 125, 851, 161, 3767, 3513, 1855, 11139, 1719}},
+{3918, 16, 4064, {1, 3, 7, 11, 11, 23, 15, 13, 235, 5, 1039, 1425, 6485, 5539, 8967, 64809}},
+{3919, 16, 4126, {1, 3, 5, 7, 19, 11, 83, 135, 45, 905, 1081, 1857, 3185, 13555, 21365, 38143}},
+{3920, 16, 4136, {1, 1, 5, 1, 25, 27, 119, 109, 167, 847, 1539, 2653, 797, 11185, 23501, 22389}},
+{3921, 16, 4167, {1, 1, 7, 7, 11, 3, 51, 97, 277, 557, 207, 3645, 825, 8521, 26653, 60071}},
+{3922, 16, 4173, {1, 3, 3, 15, 17, 35, 57, 7, 267, 549, 97, 243, 1137, 10311, 6737, 19077}},
+{3923, 16, 4188, {1, 1, 1, 15, 23, 33, 27, 203, 415, 1023, 1145, 1881, 7715, 4413, 3727, 5185}},
+{3924, 16, 4195, {1, 1, 3, 3, 13, 47, 63, 13, 75, 505, 595, 2911, 4029, 14187, 23151, 42877}},
+{3925, 16, 4226, {1, 1, 5, 15, 23, 5, 11, 65, 147, 675, 1961, 2177, 727, 15077, 23759, 10195}},
+{3926, 16, 4291, {1, 3, 5, 9, 9, 39, 69, 229, 341, 627, 1331, 3139, 3921, 9219, 14887, 4659}},
+{3927, 16, 4298, {1, 1, 7, 3, 1, 35, 49, 71, 165, 83, 719, 2771, 6475, 7821, 16709, 4449}},
+{3928, 16, 4308, {1, 3, 5, 5, 23, 15, 3, 57, 465, 77, 121, 3767, 6841, 13601, 12035, 14075}},
+{3929, 16, 4312, {1, 1, 7, 3, 3, 23, 45, 131, 287, 941, 713, 415, 6865, 14209, 29555, 55493}},
+{3930, 16, 4336, {1, 3, 5, 11, 29, 35, 55, 75, 225, 779, 569, 1795, 1377, 12765, 19081, 47287}},
+{3931, 16, 4371, {1, 3, 7, 3, 31, 47, 127, 89, 157, 737, 1395, 3615, 7923, 14731, 15797, 40061}},
+{3932, 16, 4378, {1, 1, 1, 11, 21, 37, 21, 59, 9, 141, 193, 3095, 3435, 12371, 26931, 61861}},
+{3933, 16, 4384, {1, 1, 3, 7, 13, 51, 15, 153, 77, 1013, 651, 3949, 6229, 14297, 1039, 46139}},
+{3934, 16, 4393, {1, 3, 3, 13, 7, 43, 95, 61, 217, 3, 549, 739, 123, 3661, 15375, 13919}},
+{3935, 16, 4421, {1, 3, 5, 9, 13, 37, 101, 89, 55, 413, 1089, 775, 7575, 13063, 31393, 29583}},
+{3936, 16, 4425, {1, 1, 3, 9, 25, 63, 119, 143, 499, 145, 603, 2067, 4713, 13457, 14053, 117}},
+{3937, 16, 4439, {1, 1, 5, 9, 7, 23, 57, 253, 115, 591, 2003, 63, 7615, 11493, 28519, 47087}},
+{3938, 16, 4440, {1, 1, 7, 3, 7, 53, 121, 33, 233, 645, 1093, 1697, 7213, 2603, 10743, 51303}},
+{3939, 16, 4500, {1, 3, 5, 7, 13, 31, 17, 125, 93, 969, 159, 1529, 7165, 7371, 8707, 56953}},
+{3940, 16, 4514, {1, 3, 3, 1, 13, 9, 91, 25, 171, 843, 1635, 2043, 1043, 15893, 11409, 53689}},
+{3941, 16, 4523, {1, 3, 5, 7, 13, 19, 89, 97, 203, 923, 1109, 2061, 463, 11703, 8925, 56015}},
+{3942, 16, 4534, {1, 3, 5, 11, 5, 21, 79, 237, 195, 649, 717, 211, 919, 12855, 3045, 39659}},
+{3943, 16, 4593, {1, 1, 1, 15, 13, 19, 21, 69, 393, 257, 1263, 309, 3209, 8403, 24467, 6467}},
+{3944, 16, 4615, {1, 1, 1, 11, 7, 27, 59, 117, 379, 353, 943, 2513, 3869, 4567, 12989, 13139}},
+{3945, 16, 4630, {1, 1, 1, 3, 13, 43, 11, 15, 149, 237, 1555, 71, 2357, 15773, 21419, 40571}},
+{3946, 16, 4636, {1, 3, 1, 9, 19, 23, 59, 215, 15, 921, 1729, 249, 3785, 7171, 1233, 3449}},
+{3947, 16, 4645, {1, 1, 1, 7, 7, 37, 63, 205, 75, 599, 951, 2513, 3347, 2497, 8019, 5433}},
+{3948, 16, 4684, {1, 3, 3, 15, 27, 17, 25, 201, 23, 699, 1525, 465, 1115, 12299, 14747, 40363}},
+{3949, 16, 4687, {1, 1, 1, 3, 29, 59, 115, 233, 107, 815, 291, 3821, 7325, 7381, 21445, 33917}},
+{3950, 16, 4723, {1, 3, 1, 11, 11, 33, 107, 171, 421, 893, 587, 3373, 4101, 3885, 25383, 12035}},
+{3951, 16, 4735, {1, 3, 3, 7, 5, 23, 43, 51, 357, 77, 1327, 2995, 1321, 1571, 26419, 23603}},
+{3952, 16, 4746, {1, 3, 7, 9, 27, 57, 101, 51, 215, 215, 469, 303, 723, 2903, 30569, 42631}},
+{3953, 16, 4779, {1, 3, 3, 13, 1, 7, 63, 205, 143, 321, 1439, 253, 2667, 1271, 11761, 55631}},
+{3954, 16, 4782, {1, 1, 7, 9, 3, 7, 7, 15, 503, 875, 1619, 1715, 5047, 5665, 5503, 17745}},
+{3955, 16, 4793, {1, 1, 7, 15, 19, 49, 65, 31, 245, 371, 377, 2963, 6185, 5519, 10743, 33231}},
+{3956, 16, 4796, {1, 1, 7, 3, 25, 27, 115, 51, 299, 451, 285, 1709, 6153, 14881, 17861, 22071}},
+{3957, 16, 4813, {1, 3, 1, 5, 21, 21, 127, 185, 325, 995, 213, 3279, 4769, 15943, 2589, 29567}},
+{3958, 16, 4850, {1, 3, 7, 5, 21, 9, 63, 59, 159, 743, 663, 2965, 97, 8993, 25633, 29033}},
+{3959, 16, 4867, {1, 3, 7, 13, 3, 35, 59, 101, 21, 659, 1531, 3995, 795, 2143, 21749, 52715}},
+{3960, 16, 4874, {1, 3, 3, 15, 27, 29, 95, 1, 501, 425, 417, 2351, 7877, 4127, 3633, 23347}},
+{3961, 16, 4881, {1, 3, 5, 7, 7, 49, 55, 19, 329, 467, 425, 1609, 6987, 16123, 26879, 42883}},
+{3962, 16, 4894, {1, 1, 1, 15, 17, 21, 13, 13, 85, 7, 677, 3739, 5491, 6299, 29957, 55765}},
+{3963, 16, 4904, {1, 1, 1, 7, 31, 21, 1, 5, 193, 659, 979, 3409, 3151, 6615, 7445, 8151}},
+{3964, 16, 4927, {1, 3, 1, 1, 11, 61, 27, 205, 263, 805, 955, 3469, 1233, 1609, 15329, 13353}},
+{3965, 16, 4929, {1, 3, 3, 9, 3, 29, 59, 75, 149, 557, 663, 3887, 3369, 3397, 10611, 9511}},
+{3966, 16, 4989, {1, 1, 7, 13, 29, 21, 101, 139, 99, 411, 569, 2343, 6901, 1685, 20599, 49543}},
+{3967, 16, 5000, {1, 3, 3, 15, 11, 3, 87, 89, 5, 293, 291, 1405, 1489, 9877, 32505, 32263}},
+{3968, 16, 5020, {1, 1, 5, 5, 19, 45, 89, 5, 381, 253, 1339, 707, 4645, 14177, 29441, 8965}},
+{3969, 16, 5036, {1, 3, 7, 15, 27, 45, 25, 177, 81, 229, 1339, 2143, 6547, 6841, 23449, 14813}},
+{3970, 16, 5041, {1, 1, 1, 3, 27, 23, 81, 157, 53, 513, 1435, 277, 2353, 3545, 21461, 51479}},
+{3971, 16, 5059, {1, 3, 1, 3, 3, 17, 75, 139, 283, 881, 1157, 2081, 937, 14549, 10215, 13053}},
+{3972, 16, 5074, {1, 1, 7, 9, 25, 27, 27, 133, 21, 559, 225, 613, 6931, 11785, 23413, 35757}},
+{3973, 16, 5090, {1, 1, 3, 13, 19, 9, 65, 49, 453, 779, 621, 1151, 1807, 13269, 6515, 17113}},
+{3974, 16, 5110, {1, 1, 1, 13, 21, 49, 39, 79, 119, 401, 903, 493, 3779, 7389, 29425, 28091}},
+{3975, 16, 5134, {1, 3, 1, 3, 23, 57, 59, 213, 463, 839, 1201, 1951, 5197, 13035, 29657, 35517}},
+{3976, 16, 5152, {1, 3, 7, 7, 3, 49, 29, 181, 367, 101, 1277, 3329, 3563, 10373, 29757, 62555}},
+{3977, 16, 5176, {1, 3, 1, 7, 31, 31, 117, 213, 373, 57, 1095, 2733, 3431, 3915, 7665, 44459}},
+{3978, 16, 5181, {1, 1, 7, 5, 9, 25, 47, 117, 355, 495, 1367, 2579, 5617, 787, 27655, 18885}},
+{3979, 16, 5204, {1, 1, 1, 3, 9, 39, 113, 87, 107, 477, 891, 2273, 4239, 7521, 147, 1737}},
+{3980, 16, 5218, {1, 1, 1, 3, 13, 61, 81, 225, 113, 441, 889, 1915, 3897, 15179, 4053, 5925}},
+{3981, 16, 5242, {1, 1, 5, 3, 15, 47, 59, 187, 475, 197, 1381, 33, 4605, 1487, 14359, 33769}},
+{3982, 16, 5253, {1, 3, 7, 15, 23, 45, 53, 215, 129, 465, 795, 53, 7077, 9517, 2663, 55397}},
+{3983, 16, 5260, {1, 1, 7, 13, 25, 49, 105, 255, 245, 153, 1093, 2123, 2823, 5125, 17483, 49003}},
+{3984, 16, 5281, {1, 1, 1, 13, 31, 5, 7, 243, 255, 231, 1663, 1007, 7573, 405, 29183, 11367}},
+{3985, 16, 5282, {1, 1, 5, 13, 15, 15, 115, 91, 63, 1013, 1713, 1945, 6397, 14213, 24417, 40807}},
+{3986, 16, 5313, {1, 1, 5, 3, 19, 49, 91, 25, 43, 601, 25, 2405, 1973, 629, 497, 12625}},
+{3987, 16, 5316, {1, 1, 3, 5, 13, 45, 11, 81, 251, 545, 1155, 1409, 7187, 847, 2835, 32909}},
+{3988, 16, 5326, {1, 3, 1, 13, 27, 57, 1, 103, 465, 809, 1727, 3721, 3347, 3791, 17247, 8377}},
+{3989, 16, 5340, {1, 3, 3, 15, 25, 31, 91, 91, 119, 205, 1431, 703, 5327, 7323, 30415, 61955}},
+{3990, 16, 5347, {1, 3, 5, 11, 19, 39, 79, 243, 109, 463, 1869, 2133, 4139, 10461, 14793, 24025}},
+{3991, 16, 5354, {1, 3, 5, 7, 23, 41, 5, 7, 249, 3, 1743, 489, 4921, 397, 30955, 22207}},
+{3992, 16, 5368, {1, 3, 5, 15, 3, 7, 115, 19, 217, 231, 1183, 3723, 5055, 12967, 7855, 5067}},
+{3993, 16, 5394, {1, 3, 3, 3, 11, 31, 113, 41, 429, 797, 557, 1199, 1819, 1933, 9917, 32229}},
+{3994, 16, 5396, {1, 1, 5, 3, 13, 63, 31, 183, 465, 915, 723, 3227, 4125, 2813, 26313, 34287}},
+{3995, 16, 5400, {1, 1, 7, 5, 31, 55, 117, 243, 37, 885, 85, 1067, 3895, 15655, 28527, 32109}},
+{3996, 16, 5405, {1, 3, 7, 15, 17, 43, 43, 173, 119, 187, 1161, 599, 4595, 1681, 11981, 681}},
+{3997, 16, 5439, {1, 1, 7, 7, 29, 47, 25, 93, 411, 103, 783, 1029, 1927, 3569, 27647, 8281}},
+{3998, 16, 5442, {1, 3, 3, 9, 19, 57, 31, 183, 141, 889, 157, 2267, 5701, 6273, 25739, 34039}},
+{3999, 16, 5459, {1, 3, 5, 1, 29, 35, 105, 165, 505, 299, 1149, 2397, 2013, 11591, 15917, 4791}},
+{4000, 16, 5478, {1, 3, 3, 9, 7, 35, 47, 77, 69, 335, 585, 1131, 531, 8597, 307, 55985}},
+{4001, 16, 5484, {1, 3, 7, 1, 29, 9, 25, 155, 149, 845, 567, 3735, 3501, 9365, 12025, 19131}},
+{4002, 16, 5508, {1, 3, 5, 3, 11, 31, 25, 9, 411, 519, 1611, 1441, 1487, 10049, 14373, 24605}},
+{4003, 16, 5523, {1, 3, 3, 5, 3, 7, 101, 107, 339, 155, 1843, 2529, 443, 8177, 28655, 8151}},
+{4004, 16, 5545, {1, 1, 7, 5, 29, 37, 73, 131, 125, 451, 947, 797, 5053, 10155, 30801, 27235}},
+{4005, 16, 5565, {1, 1, 7, 13, 19, 47, 101, 45, 495, 457, 1293, 1971, 5495, 12737, 17687, 26123}},
+{4006, 16, 5566, {1, 1, 7, 7, 11, 11, 75, 177, 251, 553, 1883, 3379, 1429, 12227, 10301, 16467}},
+{4007, 16, 5580, {1, 3, 3, 9, 3, 61, 95, 35, 97, 551, 233, 2045, 4873, 9109, 10019, 64523}},
+{4008, 16, 5608, {1, 3, 1, 5, 11, 3, 15, 177, 301, 573, 2029, 191, 5551, 12083, 27287, 57235}},
+{4009, 16, 5613, {1, 3, 5, 1, 21, 9, 121, 169, 347, 187, 57, 3163, 5609, 1921, 17581, 28351}},
+{4010, 16, 5647, {1, 3, 3, 1, 31, 51, 15, 45, 429, 245, 573, 1595, 5343, 7519, 17009, 1299}},
+{4011, 16, 5661, {1, 1, 7, 3, 13, 47, 109, 65, 389, 867, 963, 145, 1089, 9749, 19625, 43121}},
+{4012, 16, 5671, {1, 3, 1, 7, 21, 61, 77, 67, 143, 579, 625, 2007, 6343, 4259, 21233, 237}},
+{4013, 16, 5678, {1, 3, 5, 9, 27, 15, 107, 91, 399, 895, 645, 2301, 439, 6789, 18299, 47285}},
+{4014, 16, 5680, {1, 3, 3, 5, 13, 11, 43, 199, 505, 409, 25, 2057, 479, 6031, 9561, 51613}},
+{4015, 16, 5685, {1, 1, 7, 13, 15, 55, 105, 53, 171, 925, 1849, 2881, 6951, 13069, 865, 41019}},
+{4016, 16, 5689, {1, 3, 1, 9, 17, 31, 45, 23, 411, 185, 189, 2123, 2583, 12713, 12681, 2231}},
+{4017, 16, 5692, {1, 3, 7, 9, 3, 63, 11, 253, 177, 127, 545, 3293, 4449, 15995, 10223, 33529}},
+{4018, 16, 5724, {1, 1, 5, 11, 13, 7, 53, 161, 421, 551, 697, 627, 3879, 1639, 24419, 3337}},
+{4019, 16, 5745, {1, 1, 7, 7, 27, 7, 37, 205, 429, 407, 1133, 3563, 2921, 6173, 11173, 3009}},
+{4020, 16, 5755, {1, 3, 3, 15, 31, 39, 117, 81, 337, 729, 567, 2299, 1481, 3189, 1795, 40299}},
+{4021, 16, 5757, {1, 3, 5, 15, 15, 47, 91, 127, 275, 55, 951, 3423, 2879, 6115, 1549, 2287}},
+{4022, 16, 5786, {1, 3, 3, 11, 17, 3, 127, 207, 141, 889, 185, 1095, 4567, 1371, 30545, 54445}},
+{4023, 16, 5792, {1, 1, 7, 3, 25, 11, 11, 139, 43, 1, 1977, 397, 5775, 6913, 13249, 46767}},
+{4024, 16, 5810, {1, 1, 7, 7, 27, 13, 31, 251, 191, 1015, 161, 3719, 5321, 13013, 25187, 51881}},
+{4025, 16, 5824, {1, 1, 1, 1, 3, 3, 13, 19, 423, 349, 1955, 2103, 6395, 3315, 23809, 25925}},
+{4026, 16, 5869, {1, 3, 5, 13, 3, 59, 41, 167, 423, 93, 1299, 2623, 5829, 8537, 8701, 43757}},
+{4027, 16, 5872, {1, 3, 5, 11, 9, 19, 127, 119, 329, 819, 7, 3809, 5305, 3643, 27369, 61827}},
+{4028, 16, 5895, {1, 3, 1, 15, 25, 43, 55, 159, 205, 911, 983, 2825, 3751, 7845, 12023, 18431}},
+{4029, 16, 5923, {1, 3, 3, 13, 11, 1, 65, 133, 479, 181, 679, 981, 3317, 6241, 11693, 9619}},
+{4030, 16, 5925, {1, 3, 3, 3, 21, 25, 117, 183, 127, 73, 703, 1469, 257, 11229, 10167, 50847}},
+{4031, 16, 5926, {1, 1, 5, 13, 5, 5, 113, 15, 231, 269, 989, 465, 3267, 15239, 29503, 42855}},
+{4032, 16, 5944, {1, 3, 3, 15, 9, 63, 79, 27, 21, 709, 1969, 3761, 1015, 13619, 4205, 40591}},
+{4033, 16, 5986, {1, 1, 7, 11, 29, 3, 5, 45, 107, 131, 1287, 3551, 849, 2003, 27451, 47103}},
+{4034, 16, 6012, {1, 3, 5, 11, 3, 47, 59, 53, 369, 249, 915, 2475, 7539, 763, 7063, 63971}},
+{4035, 16, 6015, {1, 1, 5, 1, 7, 53, 45, 127, 321, 341, 635, 2277, 1383, 10951, 29055, 45087}},
+{4036, 16, 6046, {1, 3, 7, 3, 5, 1, 119, 79, 487, 93, 25, 491, 4085, 6403, 27779, 8753}},
+{4037, 16, 6049, {1, 1, 1, 3, 9, 59, 49, 141, 323, 703, 1175, 423, 4323, 10083, 4289, 28931}},
+{4038, 16, 6061, {1, 3, 3, 15, 31, 31, 73, 15, 187, 653, 91, 1707, 1431, 9861, 19071, 8137}},
+{4039, 16, 6067, {1, 1, 1, 5, 27, 63, 93, 1, 329, 353, 863, 473, 7681, 10653, 15819, 8495}},
+{4040, 16, 6099, {1, 1, 1, 5, 25, 57, 119, 167, 219, 319, 231, 1065, 6217, 5131, 1513, 49281}},
+{4041, 16, 6121, {1, 3, 7, 3, 17, 3, 113, 91, 201, 179, 1907, 3423, 821, 12927, 24827, 49403}},
+{4042, 16, 6155, {1, 1, 5, 7, 19, 63, 75, 151, 387, 489, 777, 2049, 1151, 1351, 25687, 4143}},
+{4043, 16, 6163, {1, 3, 5, 7, 9, 37, 9, 3, 87, 385, 1667, 2139, 7527, 16133, 30023, 28783}},
+{4044, 16, 6203, {1, 1, 5, 9, 11, 55, 95, 73, 413, 867, 589, 2901, 3021, 413, 5955, 38921}},
+{4045, 16, 6208, {1, 3, 5, 15, 1, 17, 17, 7, 485, 323, 519, 2325, 2255, 4211, 20661, 28931}},
+{4046, 16, 6231, {1, 1, 5, 13, 21, 19, 85, 189, 167, 645, 1475, 3095, 7123, 3351, 7961, 20967}},
+{4047, 16, 6241, {1, 1, 7, 13, 3, 47, 13, 213, 237, 291, 285, 1465, 1765, 12361, 32651, 54205}},
+{4048, 16, 6254, {1, 3, 7, 13, 13, 27, 71, 35, 67, 117, 647, 2359, 3295, 8445, 24761, 29379}},
+{4049, 16, 6262, {1, 1, 1, 3, 3, 19, 23, 37, 5, 1019, 5, 1605, 2291, 14015, 9311, 39751}},
+{4050, 16, 6266, {1, 3, 3, 3, 31, 1, 65, 159, 221, 675, 1061, 971, 2333, 8265, 14361, 3263}},
+{4051, 16, 6275, {1, 1, 3, 7, 3, 5, 81, 17, 101, 991, 753, 2883, 4977, 4409, 1757, 26803}},
+{4052, 16, 6278, {1, 1, 5, 9, 13, 25, 45, 43, 199, 967, 829, 713, 4547, 7223, 6497, 53895}},
+{4053, 16, 6292, {1, 1, 7, 5, 23, 15, 89, 179, 509, 147, 315, 133, 111, 15577, 23427, 5229}},
+{4054, 16, 6329, {1, 3, 3, 7, 27, 7, 113, 65, 315, 135, 1309, 1179, 5755, 7513, 6815, 5137}},
+{4055, 16, 6355, {1, 1, 3, 7, 1, 13, 29, 155, 477, 721, 71, 865, 3897, 3331, 30641, 65471}},
+{4056, 16, 6357, {1, 1, 7, 3, 29, 45, 83, 3, 461, 109, 1545, 1365, 6633, 16137, 23859, 5995}},
+{4057, 16, 6374, {1, 3, 1, 1, 3, 33, 77, 83, 459, 187, 879, 3731, 6939, 6707, 23409, 24245}},
+{4058, 16, 6380, {1, 3, 5, 5, 13, 43, 127, 41, 29, 735, 1391, 2947, 4873, 4627, 15, 41719}},
+{4059, 16, 6423, {1, 3, 1, 3, 17, 17, 51, 93, 189, 227, 449, 2809, 825, 2009, 9563, 41435}},
+{4060, 16, 6427, {1, 3, 3, 11, 25, 47, 113, 173, 141, 919, 677, 117, 5293, 815, 23749, 19789}},
+{4061, 16, 6430, {1, 1, 1, 13, 15, 61, 121, 223, 53, 389, 489, 1527, 4771, 8975, 8005, 14275}},
+{4062, 16, 6436, {1, 1, 3, 15, 31, 57, 111, 145, 279, 991, 489, 3239, 7647, 473, 31279, 33447}},
+{4063, 16, 6443, {1, 1, 7, 5, 31, 13, 75, 185, 395, 611, 609, 159, 7931, 9887, 4115, 53121}},
+{4064, 16, 6445, {1, 3, 5, 5, 13, 39, 103, 237, 77, 913, 511, 1583, 6763, 14523, 4247, 63403}},
+{4065, 16, 6458, {1, 1, 1, 15, 11, 5, 43, 43, 297, 827, 747, 5, 3785, 15021, 11291, 36743}},
+{4066, 16, 6478, {1, 1, 7, 9, 9, 53, 113, 95, 403, 53, 1335, 4033, 8147, 11963, 6523, 23675}},
+{4067, 16, 6490, {1, 1, 5, 9, 27, 29, 69, 79, 327, 409, 1147, 1579, 2625, 12227, 30933, 9057}},
+{4068, 16, 6508, {1, 1, 1, 7, 1, 33, 29, 173, 5, 517, 437, 2035, 57, 12825, 22095, 65519}},
+{4069, 16, 6519, {1, 1, 3, 7, 27, 29, 53, 79, 429, 707, 589, 2605, 339, 7039, 19319, 17649}},
+{4070, 16, 6520, {1, 3, 3, 11, 9, 57, 43, 117, 39, 193, 1427, 2553, 6877, 7653, 29041, 44865}},
+{4071, 16, 6530, {1, 3, 3, 7, 23, 45, 29, 151, 265, 739, 365, 3565, 6447, 9761, 24021, 679}},
+{4072, 16, 6541, {1, 3, 5, 1, 1, 43, 73, 55, 131, 175, 959, 659, 7315, 15145, 18301, 14865}},
+{4073, 16, 6556, {1, 1, 3, 5, 15, 15, 91, 113, 359, 241, 1627, 1069, 1761, 211, 32671, 58833}},
+{4074, 16, 6607, {1, 3, 3, 7, 29, 27, 79, 53, 409, 81, 693, 3137, 7385, 11007, 28459, 28621}},
+{4075, 16, 6612, {1, 1, 7, 5, 29, 7, 67, 195, 77, 773, 1361, 2153, 4459, 7301, 5129, 17797}},
+{4076, 16, 6626, {1, 3, 3, 7, 25, 27, 91, 223, 115, 91, 1645, 2167, 1955, 9601, 22127, 13055}},
+{4077, 16, 6632, {1, 3, 7, 3, 27, 53, 67, 249, 51, 151, 663, 3231, 895, 6777, 3037, 56755}},
+{4078, 16, 6649, {1, 1, 5, 1, 25, 63, 71, 179, 375, 301, 1127, 2125, 783, 14481, 7293, 47883}},
+{4079, 16, 6666, {1, 1, 3, 9, 25, 3, 39, 69, 1, 85, 1271, 1571, 1953, 5077, 20369, 44827}},
+{4080, 16, 6674, {1, 3, 1, 13, 11, 61, 77, 59, 127, 475, 1609, 3553, 2553, 15589, 9351, 59787}},
+{4081, 16, 6733, {1, 3, 1, 5, 21, 7, 61, 27, 199, 653, 1243, 2481, 5369, 12903, 30229, 39453}},
+{4082, 16, 6782, {1, 3, 7, 3, 13, 15, 107, 153, 501, 573, 863, 3179, 6019, 15177, 16075, 43767}},
+{4083, 16, 6786, {1, 1, 7, 1, 23, 55, 17, 35, 5, 137, 1707, 1377, 6857, 15361, 27299, 61871}},
+{4084, 16, 6798, {1, 3, 5, 7, 27, 17, 87, 213, 95, 125, 1239, 3923, 4193, 11049, 12783, 45017}},
+{4085, 16, 6821, {1, 1, 5, 15, 9, 55, 11, 217, 7, 249, 369, 205, 4251, 13785, 24781, 48929}},
+{4086, 16, 6840, {1, 3, 7, 1, 15, 35, 33, 107, 503, 563, 1591, 3487, 7495, 1767, 24791, 31281}},
+{4087, 16, 6846, {1, 3, 1, 11, 3, 15, 47, 193, 289, 253, 909, 1105, 5119, 1415, 7737, 4341}},
+{4088, 16, 6865, {1, 1, 1, 3, 23, 33, 53, 187, 469, 573, 835, 2049, 791, 1177, 31051, 30955}},
+{4089, 16, 6884, {1, 3, 3, 11, 15, 51, 77, 143, 369, 991, 1103, 1293, 6019, 6361, 26301, 20741}},
+{4090, 16, 6891, {1, 1, 1, 5, 17, 19, 85, 135, 113, 593, 579, 1063, 7173, 2491, 9355, 19223}},
+{4091, 16, 6925, {1, 1, 5, 15, 25, 51, 107, 193, 31, 1, 1693, 125, 6223, 14619, 22683, 26321}},
+{4092, 16, 6938, {1, 1, 7, 1, 17, 45, 87, 39, 87, 499, 1185, 2763, 3989, 2863, 24555, 33817}},
+{4093, 16, 6967, {1, 3, 1, 11, 31, 5, 121, 231, 185, 793, 255, 2785, 5261, 3687, 21711, 3941}},
+{4094, 16, 6988, {1, 3, 7, 15, 5, 59, 73, 227, 365, 937, 893, 2155, 4385, 14345, 6813, 28461}},
+{4095, 16, 6996, {1, 1, 5, 7, 7, 23, 7, 239, 431, 45, 1015, 1663, 1893, 5035, 24075, 2119}},
+{4096, 16, 7009, {1, 3, 5, 1, 3, 15, 63, 103, 119, 801, 1681, 3463, 6083, 6453, 11379, 8205}},
+{4097, 16, 7016, {1, 3, 7, 9, 21, 61, 9, 9, 433, 541, 603, 3905, 3787, 10187, 3643, 21319}},
+{4098, 16, 7030, {1, 3, 5, 3, 11, 1, 101, 243, 363, 559, 561, 1163, 455, 4657, 1147, 39961}},
+{4099, 16, 7043, {1, 3, 5, 13, 17, 37, 57, 47, 483, 571, 1579, 1137, 8125, 12271, 23279, 1615}},
+{4100, 16, 7045, {1, 3, 5, 1, 21, 5, 13, 155, 75, 705, 389, 2855, 6345, 2279, 12627, 49451}},
+{4101, 16, 7052, {1, 1, 3, 9, 15, 51, 73, 99, 445, 227, 1705, 2175, 8111, 9381, 31555, 48491}},
+{4102, 16, 7073, {1, 3, 3, 5, 9, 63, 107, 51, 461, 979, 1033, 421, 4807, 11707, 13261, 26015}},
+{4103, 16, 7142, {1, 1, 5, 3, 13, 53, 117, 249, 57, 851, 1391, 3245, 35, 16043, 24399, 63667}},
+{4104, 16, 7153, {1, 3, 1, 11, 23, 33, 57, 125, 385, 495, 871, 199, 4269, 2269, 22897, 23597}},
+{4105, 16, 7168, {1, 3, 5, 15, 29, 11, 77, 21, 479, 369, 723, 3721, 1121, 9463, 19775, 54525}},
+{4106, 16, 7174, {1, 3, 5, 7, 7, 45, 29, 153, 395, 223, 1917, 3713, 5087, 10827, 1383, 36823}},
+{4107, 16, 7183, {1, 3, 1, 3, 31, 19, 111, 55, 275, 923, 917, 2925, 673, 6579, 18783, 5137}},
+{4108, 16, 7195, {1, 3, 1, 15, 25, 31, 59, 255, 31, 697, 1751, 381, 299, 295, 14037, 40953}},
+{4109, 16, 7204, {1, 3, 1, 7, 15, 23, 69, 219, 351, 183, 1083, 2227, 6249, 9385, 13167, 2901}},
+{4110, 16, 7214, {1, 3, 7, 1, 5, 61, 117, 13, 67, 521, 41, 2929, 3937, 1215, 25593, 32627}},
+{4111, 16, 7222, {1, 3, 5, 1, 9, 47, 63, 39, 371, 657, 491, 2243, 4049, 10517, 12409, 40597}},
+{4112, 16, 7267, {1, 3, 7, 15, 17, 3, 77, 13, 275, 225, 487, 2055, 1293, 15927, 31773, 18275}},
+{4113, 16, 7269, {1, 1, 5, 13, 11, 57, 113, 27, 191, 363, 1341, 3487, 8031, 13801, 7563, 40675}},
+{4114, 16, 7279, {1, 1, 3, 3, 27, 31, 103, 143, 271, 305, 2033, 3623, 4219, 9307, 7501, 8959}},
+{4115, 16, 7293, {1, 1, 1, 13, 1, 3, 27, 97, 475, 143, 333, 2997, 1807, 4231, 27437, 59717}},
+{4116, 16, 7312, {1, 3, 7, 5, 5, 3, 69, 233, 309, 511, 1429, 1887, 2745, 4969, 17595, 5451}},
+{4117, 16, 7327, {1, 1, 7, 3, 23, 17, 115, 89, 265, 467, 257, 2027, 5331, 1195, 4451, 8621}},
+{4118, 16, 7334, {1, 1, 7, 13, 29, 35, 117, 155, 99, 327, 853, 3595, 2997, 10745, 21619, 26549}},
+{4119, 16, 7337, {1, 3, 3, 13, 1, 13, 75, 151, 67, 271, 1609, 1117, 4293, 4645, 12005, 55983}},
+{4120, 16, 7343, {1, 1, 1, 13, 1, 61, 101, 63, 161, 261, 1759, 567, 665, 2339, 9157, 55603}},
+{4121, 16, 7346, {1, 1, 7, 11, 25, 19, 71, 27, 255, 435, 227, 4087, 4309, 14903, 14513, 30207}},
+{4122, 16, 7372, {1, 3, 3, 3, 11, 41, 1, 67, 383, 403, 45, 1521, 1535, 3353, 27361, 7549}},
+{4123, 16, 7387, {1, 1, 1, 1, 13, 51, 31, 137, 147, 907, 19, 3639, 3739, 877, 15005, 60357}},
+{4124, 16, 7390, {1, 1, 3, 11, 11, 23, 29, 173, 105, 873, 1727, 2761, 2015, 7491, 17491, 41065}},
+{4125, 16, 7396, {1, 1, 5, 3, 31, 1, 119, 53, 11, 731, 393, 4031, 4421, 15715, 6431, 18089}},
+{4126, 16, 7423, {1, 1, 3, 5, 15, 37, 55, 147, 307, 521, 711, 3085, 5989, 8081, 23351, 35259}},
+{4127, 16, 7428, {1, 3, 5, 13, 21, 19, 47, 107, 447, 713, 1655, 2809, 4741, 2105, 9255, 103}},
+{4128, 16, 7437, {1, 3, 1, 3, 17, 47, 63, 125, 343, 763, 1777, 607, 5625, 9517, 7221, 27257}},
+{4129, 16, 7466, {1, 1, 7, 5, 31, 13, 67, 255, 41, 947, 99, 721, 7367, 11427, 1357, 12383}},
+{4130, 16, 7474, {1, 1, 7, 3, 23, 27, 73, 185, 189, 545, 1877, 3169, 5419, 15873, 29059, 23983}},
+{4131, 16, 7476, {1, 1, 3, 1, 5, 13, 81, 45, 79, 717, 819, 3539, 7561, 7319, 5113, 27273}},
+{4132, 16, 7483, {1, 3, 7, 9, 21, 25, 71, 247, 41, 583, 771, 3745, 1883, 5717, 755, 14549}},
+{4133, 16, 7518, {1, 1, 3, 7, 23, 25, 87, 143, 499, 515, 1753, 1229, 173, 10629, 30579, 29643}},
+{4134, 16, 7527, {1, 3, 1, 13, 29, 33, 31, 69, 503, 117, 1717, 101, 7647, 1567, 28677, 3079}},
+{4135, 16, 7545, {1, 3, 1, 15, 29, 45, 57, 81, 171, 813, 505, 3647, 3913, 5557, 2477, 42429}},
+{4136, 16, 7572, {1, 1, 5, 13, 21, 13, 81, 5, 471, 221, 1563, 1741, 7269, 16327, 22687, 5291}},
+{4137, 16, 7586, {1, 3, 5, 3, 23, 41, 107, 61, 95, 79, 467, 1533, 739, 6791, 26911, 20309}},
+{4138, 16, 7597, {1, 3, 7, 7, 3, 53, 71, 163, 459, 975, 687, 1115, 5241, 299, 26361, 38583}},
+{4139, 16, 7630, {1, 3, 1, 9, 3, 63, 7, 133, 421, 325, 823, 1175, 6201, 5707, 31539, 34645}},
+{4140, 16, 7653, {1, 3, 7, 5, 27, 27, 107, 239, 247, 257, 1367, 3685, 7839, 11693, 3237, 13085}},
+{4141, 16, 7657, {1, 1, 1, 3, 27, 41, 51, 69, 271, 809, 1453, 519, 1301, 2367, 637, 5267}},
+{4142, 16, 7671, {1, 3, 7, 13, 19, 17, 3, 69, 369, 447, 1685, 4075, 6143, 11387, 5411, 29825}},
+{4143, 16, 7672, {1, 1, 3, 1, 25, 61, 79, 163, 1, 905, 1969, 2735, 7709, 16121, 20441, 4543}},
+{4144, 16, 7715, {1, 3, 7, 5, 15, 29, 7, 245, 343, 803, 1719, 3993, 983, 2925, 10393, 6053}},
+{4145, 16, 7717, {1, 3, 1, 7, 17, 55, 63, 29, 441, 387, 885, 3269, 1977, 1927, 3657, 47043}},
+{4146, 16, 7732, {1, 1, 3, 1, 17, 59, 51, 9, 173, 327, 1185, 3241, 3785, 10907, 19429, 22209}},
+{4147, 16, 7735, {1, 1, 3, 13, 21, 57, 125, 5, 359, 437, 1231, 2441, 5813, 9991, 283, 52555}},
+{4148, 16, 7753, {1, 3, 1, 7, 15, 19, 39, 125, 405, 381, 1757, 4075, 5565, 2065, 295, 8867}},
+{4149, 16, 7811, {1, 3, 3, 11, 7, 33, 95, 19, 253, 141, 1093, 1787, 7495, 5229, 15923, 44157}},
+{4150, 16, 7817, {1, 3, 7, 15, 1, 49, 69, 163, 85, 345, 901, 2329, 8003, 9915, 2209, 33979}},
+{4151, 16, 7825, {1, 1, 1, 9, 23, 51, 125, 163, 257, 681, 565, 945, 6375, 8679, 5985, 28919}},
+{4152, 16, 7832, {1, 3, 5, 7, 11, 23, 123, 231, 377, 121, 1519, 2061, 2957, 14537, 17625, 37773}},
+{4153, 16, 7838, {1, 3, 5, 1, 17, 43, 89, 119, 455, 279, 1857, 3405, 5225, 13035, 6055, 30861}},
+{4154, 16, 7841, {1, 3, 7, 15, 31, 63, 25, 225, 3, 527, 355, 1435, 5763, 15203, 26579, 45659}},
+{4155, 16, 7844, {1, 1, 1, 3, 27, 43, 71, 193, 135, 5, 683, 925, 7023, 7711, 2807, 56003}},
+{4156, 16, 7859, {1, 1, 1, 11, 3, 3, 109, 29, 109, 683, 419, 3295, 1961, 5953, 8887, 1523}},
+{4157, 16, 7861, {1, 3, 3, 11, 17, 39, 19, 225, 103, 249, 81, 3875, 4515, 3969, 24745, 60031}},
+{4158, 16, 7873, {1, 1, 3, 3, 3, 23, 15, 149, 305, 399, 1347, 1001, 597, 10003, 22123, 29919}},
+{4159, 16, 7880, {1, 3, 5, 1, 23, 35, 123, 7, 283, 283, 759, 3061, 2011, 7771, 32201, 40667}},
+{4160, 16, 7897, {1, 3, 7, 15, 23, 5, 81, 51, 357, 79, 133, 285, 425, 7743, 13499, 18983}},
+{4161, 16, 7904, {1, 3, 3, 5, 17, 37, 75, 221, 473, 111, 335, 683, 7353, 2283, 13457, 61171}},
+{4162, 16, 7910, {1, 3, 1, 7, 13, 45, 13, 223, 149, 209, 727, 3553, 2573, 177, 855, 44139}},
+{4163, 16, 7960, {1, 1, 3, 15, 23, 5, 103, 139, 17, 29, 1961, 3021, 5745, 12963, 30669, 44171}},
+{4164, 16, 7969, {1, 3, 1, 1, 3, 33, 67, 203, 29, 785, 71, 1693, 4487, 10221, 24523, 51223}},
+{4165, 16, 7970, {1, 1, 5, 7, 7, 27, 17, 183, 229, 669, 1675, 3751, 3233, 10677, 7509, 52313}},
+{4166, 16, 7976, {1, 1, 5, 5, 25, 35, 21, 163, 483, 399, 195, 3465, 6349, 545, 18861, 31759}},
+{4167, 16, 7979, {1, 3, 1, 5, 15, 39, 13, 157, 71, 841, 447, 3625, 53, 12745, 2719, 27617}},
+{4168, 16, 8007, {1, 1, 5, 5, 3, 45, 113, 121, 263, 887, 709, 2189, 3811, 1409, 10451, 48777}},
+{4169, 16, 8041, {1, 1, 5, 15, 9, 41, 31, 95, 377, 215, 437, 3633, 433, 11935, 15283, 55451}},
+{4170, 16, 8047, {1, 1, 7, 7, 13, 23, 79, 3, 451, 409, 1103, 1771, 553, 3175, 28703, 49357}},
+{4171, 16, 8052, {1, 3, 1, 1, 13, 33, 95, 133, 419, 851, 955, 3985, 5869, 14219, 253, 46883}},
+{4172, 16, 8061, {1, 3, 3, 3, 23, 55, 91, 207, 281, 355, 361, 261, 6837, 4401, 25455, 25313}},
+{4173, 16, 8078, {1, 3, 5, 9, 27, 9, 107, 51, 69, 555, 835, 3541, 1827, 5737, 31225, 55619}},
+{4174, 16, 8128, {1, 1, 1, 11, 27, 51, 79, 85, 447, 447, 9, 2803, 377, 4347, 2183, 61257}},
+{4175, 16, 8146, {1, 1, 1, 3, 23, 21, 51, 217, 297, 135, 573, 689, 4947, 14143, 26247, 43061}},
+{4176, 16, 8162, {1, 3, 1, 7, 15, 13, 27, 151, 463, 707, 43, 3641, 4999, 3783, 9083, 22085}},
+{4177, 16, 8250, {1, 3, 3, 5, 3, 1, 15, 119, 343, 605, 105, 2939, 2259, 889, 21759, 34073}},
+{4178, 16, 8270, {1, 1, 1, 7, 3, 63, 103, 1, 235, 317, 263, 2701, 7331, 15921, 17295, 613}},
+{4179, 16, 8294, {1, 1, 7, 3, 19, 3, 5, 17, 105, 491, 755, 233, 5397, 12365, 16325, 59377}},
+{4180, 16, 8324, {1, 3, 3, 15, 15, 27, 37, 151, 481, 949, 1473, 233, 1925, 15471, 24957, 3241}},
+{4181, 16, 8351, {1, 1, 7, 5, 9, 61, 49, 91, 169, 179, 701, 3957, 473, 15087, 6109, 25083}},
+{4182, 16, 8357, {1, 3, 3, 11, 27, 43, 5, 33, 69, 705, 733, 2675, 2677, 4235, 11109, 15557}},
+{4183, 16, 8361, {1, 3, 1, 3, 17, 19, 101, 119, 289, 341, 1395, 563, 6859, 10359, 10077, 26905}},
+{4184, 16, 8364, {1, 1, 1, 15, 21, 47, 41, 145, 439, 583, 1755, 1977, 5235, 15961, 21315, 60577}},
+{4185, 16, 8393, {1, 1, 5, 3, 9, 59, 71, 143, 27, 1007, 313, 1567, 1685, 11063, 28889, 44253}},
+{4186, 16, 8396, {1, 1, 5, 5, 29, 29, 43, 127, 13, 585, 1245, 187, 2697, 8791, 19561, 6463}},
+{4187, 16, 8407, {1, 1, 3, 11, 29, 39, 127, 75, 23, 521, 421, 3115, 139, 5429, 23341, 58035}},
+{4188, 16, 8413, {1, 1, 3, 1, 27, 35, 27, 9, 185, 653, 887, 2715, 3775, 1753, 22105, 62095}},
+{4189, 16, 8414, {1, 1, 5, 5, 5, 63, 23, 31, 317, 1001, 1751, 1185, 7933, 525, 30501, 15565}},
+{4190, 16, 8432, {1, 1, 1, 5, 9, 27, 79, 91, 453, 995, 1041, 3213, 8027, 5855, 7435, 64079}},
+{4191, 16, 8435, {1, 1, 3, 11, 1, 51, 27, 195, 139, 41, 1891, 1437, 1033, 11671, 3235, 35083}},
+{4192, 16, 8441, {1, 3, 1, 3, 11, 25, 33, 249, 373, 497, 1631, 293, 3657, 10741, 15831, 59545}},
+{4193, 16, 8447, {1, 1, 1, 1, 15, 63, 13, 165, 113, 559, 1615, 3579, 1993, 1907, 22335, 47791}},
+{4194, 16, 8449, {1, 1, 3, 15, 13, 49, 63, 235, 31, 811, 1729, 221, 5143, 11547, 30029, 52003}},
+{4195, 16, 8456, {1, 1, 5, 13, 29, 61, 25, 221, 421, 221, 583, 373, 2341, 7493, 13981, 54141}},
+{4196, 16, 8485, {1, 1, 5, 11, 21, 49, 71, 249, 237, 369, 1273, 1067, 4411, 409, 7219, 52933}},
+{4197, 16, 8504, {1, 3, 1, 1, 13, 23, 53, 15, 137, 553, 401, 2247, 5591, 14021, 445, 20433}},
+{4198, 16, 8512, {1, 1, 7, 7, 7, 23, 19, 189, 119, 643, 847, 2123, 5343, 11839, 4575, 60461}},
+{4199, 16, 8532, {1, 1, 5, 5, 11, 19, 111, 219, 185, 499, 595, 723, 3519, 10891, 27603, 29261}},
+{4200, 16, 8551, {1, 3, 3, 1, 9, 13, 95, 227, 459, 133, 1535, 3481, 7187, 14797, 16511, 6737}},
+{4201, 16, 8560, {1, 1, 7, 7, 19, 57, 117, 7, 455, 941, 455, 797, 6313, 10071, 18651, 25013}},
+{4202, 16, 8566, {1, 3, 7, 3, 25, 25, 79, 19, 383, 971, 1625, 2803, 2461, 633, 32317, 48407}},
+{4203, 16, 8581, {1, 1, 7, 7, 25, 43, 93, 135, 155, 685, 2001, 3007, 7315, 15555, 30401, 36291}},
+{4204, 16, 8609, {1, 1, 1, 5, 13, 33, 123, 221, 341, 105, 1075, 3125, 5323, 14293, 29875, 52215}},
+{4205, 16, 8639, {1, 1, 3, 9, 29, 51, 25, 59, 171, 563, 1695, 2845, 6067, 10671, 2909, 33977}},
+{4206, 16, 8641, {1, 3, 3, 7, 25, 21, 39, 65, 485, 949, 1773, 2775, 6019, 14587, 6715, 54793}},
+{4207, 16, 8671, {1, 1, 7, 11, 17, 57, 125, 17, 111, 167, 289, 3939, 7357, 2289, 1717, 45225}},
+{4208, 16, 8695, {1, 1, 7, 7, 21, 55, 3, 139, 471, 747, 1437, 1353, 7657, 13133, 14193, 38191}},
+{4209, 16, 8701, {1, 3, 5, 7, 25, 57, 55, 17, 315, 159, 437, 933, 7493, 6025, 2775, 24287}},
+{4210, 16, 8711, {1, 1, 7, 1, 15, 45, 67, 191, 355, 681, 1763, 1237, 105, 1425, 26089, 42879}},
+{4211, 16, 8739, {1, 1, 5, 13, 13, 53, 25, 127, 103, 155, 935, 2561, 475, 4341, 30541, 43835}},
+{4212, 16, 8763, {1, 1, 5, 15, 27, 59, 99, 173, 189, 41, 105, 3287, 4071, 15005, 18301, 34487}},
+{4213, 16, 8778, {1, 1, 5, 11, 21, 9, 57, 115, 495, 561, 579, 397, 3049, 2007, 5041, 37345}},
+{4214, 16, 8783, {1, 1, 5, 11, 15, 11, 101, 241, 69, 483, 1007, 4069, 5221, 5323, 20177, 24397}},
+{4215, 16, 8785, {1, 1, 1, 7, 29, 15, 119, 161, 21, 517, 847, 2217, 4487, 4817, 24053, 21683}},
+{4216, 16, 8797, {1, 3, 1, 3, 3, 51, 85, 63, 345, 799, 1699, 3961, 7109, 3931, 28173, 46851}},
+{4217, 16, 8802, {1, 1, 5, 7, 15, 25, 97, 139, 331, 969, 1129, 2451, 3107, 12235, 12949, 29837}},
+{4218, 16, 8816, {1, 3, 7, 1, 19, 21, 51, 155, 295, 565, 29, 2107, 341, 14611, 15281, 50727}},
+{4219, 16, 8828, {1, 3, 1, 11, 3, 37, 13, 217, 429, 217, 301, 1217, 5655, 13845, 32465, 23559}},
+{4220, 16, 8837, {1, 3, 3, 9, 9, 57, 79, 231, 433, 703, 699, 3813, 7035, 5885, 19185, 52551}},
+{4221, 16, 8852, {1, 1, 1, 5, 19, 17, 31, 209, 49, 515, 279, 909, 5881, 2673, 23635, 23101}},
+{4222, 16, 8859, {1, 1, 5, 7, 3, 3, 119, 139, 245, 775, 1009, 1157, 1405, 9737, 17671, 62981}},
+{4223, 16, 8889, {1, 3, 7, 11, 17, 21, 105, 21, 67, 871, 233, 3607, 571, 9141, 9751, 28093}},
+{4224, 16, 8900, {1, 1, 3, 13, 5, 53, 91, 181, 143, 375, 1113, 705, 837, 10505, 11459, 57753}},
+{4225, 16, 8903, {1, 3, 5, 11, 9, 19, 107, 229, 305, 107, 1027, 691, 4677, 8987, 7931, 951}},
+{4226, 16, 8909, {1, 1, 7, 9, 9, 17, 39, 195, 103, 315, 517, 123, 7167, 7039, 3571, 40469}},
+{4227, 16, 8910, {1, 1, 1, 5, 1, 21, 121, 53, 427, 111, 717, 1065, 2843, 5873, 28411, 42443}},
+{4228, 16, 8922, {1, 1, 3, 11, 27, 7, 37, 255, 429, 363, 997, 2429, 6871, 1271, 29375, 62897}},
+{4229, 16, 8924, {1, 3, 3, 13, 23, 23, 123, 119, 213, 51, 771, 1603, 1621, 1497, 23667, 13443}},
+{4230, 16, 8955, {1, 1, 3, 13, 17, 21, 81, 17, 211, 815, 1751, 3875, 4001, 3927, 6185, 28753}},
+{4231, 16, 8958, {1, 3, 1, 5, 13, 41, 23, 187, 475, 353, 1307, 543, 5077, 3459, 20553, 29119}},
+{4232, 16, 8980, {1, 1, 1, 7, 1, 39, 3, 247, 375, 101, 81, 1515, 1079, 15307, 18865, 63115}},
+{4233, 16, 8994, {1, 1, 5, 9, 23, 7, 61, 45, 379, 553, 435, 1805, 4147, 2289, 22081, 40041}},
+{4234, 16, 9006, {1, 1, 7, 3, 17, 13, 107, 169, 119, 981, 1825, 3329, 7779, 12245, 28367, 6749}},
+{4235, 16, 9017, {1, 3, 3, 13, 29, 13, 93, 155, 331, 507, 1073, 279, 6615, 14077, 3005, 10171}},
+{4236, 16, 9032, {1, 1, 5, 7, 29, 23, 81, 181, 321, 921, 1531, 2607, 7291, 1255, 29889, 30095}},
+{4237, 16, 9040, {1, 1, 1, 5, 7, 1, 9, 231, 203, 559, 243, 3999, 3649, 7939, 14729, 34771}},
+{4238, 16, 9061, {1, 3, 7, 3, 17, 29, 79, 251, 305, 641, 1125, 1155, 7139, 6721, 43, 34927}},
+{4239, 16, 9066, {1, 1, 5, 13, 21, 39, 55, 103, 143, 487, 849, 1111, 1105, 8483, 5417, 10521}},
+{4240, 16, 9071, {1, 1, 5, 5, 19, 5, 111, 49, 95, 917, 843, 2539, 6831, 9019, 16045, 59363}},
+{4241, 16, 9076, {1, 3, 3, 11, 7, 45, 87, 51, 49, 615, 603, 1623, 5351, 11939, 21945, 40539}},
+{4242, 16, 9086, {1, 1, 5, 9, 9, 33, 113, 37, 163, 853, 1313, 4021, 965, 11465, 8573, 24425}},
+{4243, 16, 9104, {1, 3, 3, 9, 17, 19, 121, 95, 93, 441, 1951, 3335, 6279, 16087, 14763, 60771}},
+{4244, 16, 9150, {1, 3, 3, 9, 13, 15, 19, 129, 257, 641, 533, 1667, 5959, 2259, 10439, 29745}},
+{4245, 16, 9161, {1, 1, 7, 7, 11, 31, 45, 247, 233, 101, 899, 2033, 7803, 11423, 30645, 7723}},
+{4246, 16, 9164, {1, 3, 5, 11, 23, 3, 69, 79, 319, 125, 1463, 2047, 7311, 5819, 445, 13725}},
+{4247, 16, 9185, {1, 1, 1, 3, 7, 43, 83, 89, 467, 709, 1993, 3773, 7805, 305, 15701, 51101}},
+{4248, 16, 9188, {1, 1, 7, 5, 19, 53, 77, 237, 27, 853, 1003, 2041, 5739, 4663, 9783, 23761}},
+{4249, 16, 9212, {1, 1, 3, 7, 19, 31, 71, 33, 479, 693, 1503, 9, 2779, 1481, 9413, 36227}},
+{4250, 16, 9230, {1, 3, 1, 11, 9, 23, 1, 99, 247, 33, 1987, 1577, 8029, 7785, 29947, 38751}},
+{4251, 16, 9242, {1, 1, 1, 3, 15, 57, 23, 53, 431, 553, 1433, 2447, 1871, 10701, 30961, 12281}},
+{4252, 16, 9247, {1, 3, 5, 9, 11, 49, 123, 91, 87, 155, 301, 3339, 6183, 15895, 17309, 45927}},
+{4253, 16, 9260, {1, 1, 1, 9, 9, 41, 79, 123, 261, 547, 1931, 2553, 7405, 14431, 24079, 20769}},
+{4254, 16, 9280, {1, 3, 1, 3, 31, 17, 17, 137, 419, 591, 1693, 3977, 861, 16025, 189, 60995}},
+{4255, 16, 9300, {1, 3, 7, 11, 19, 47, 107, 243, 87, 135, 507, 189, 1397, 3841, 22999, 50781}},
+{4256, 16, 9313, {1, 3, 5, 5, 15, 11, 19, 239, 133, 295, 673, 2389, 4753, 4363, 21669, 25579}},
+{4257, 16, 9325, {1, 3, 5, 7, 19, 43, 55, 129, 239, 89, 1731, 1381, 5483, 11773, 9201, 17745}},
+{4258, 16, 9343, {1, 3, 1, 13, 3, 15, 77, 131, 417, 845, 1953, 2871, 1789, 10343, 11363, 20699}},
+{4259, 16, 9349, {1, 3, 7, 1, 9, 43, 55, 223, 239, 317, 1951, 2725, 209, 3853, 2201, 6839}},
+{4260, 16, 9354, {1, 3, 1, 3, 7, 35, 29, 21, 149, 779, 467, 65, 811, 4859, 14021, 38429}},
+{4261, 16, 9367, {1, 3, 7, 1, 19, 31, 97, 9, 11, 415, 689, 1513, 2475, 5039, 5669, 65103}},
+{4262, 16, 9368, {1, 3, 3, 3, 11, 25, 37, 247, 189, 911, 429, 2395, 3653, 79, 28115, 23513}},
+{4263, 16, 9455, {1, 1, 5, 5, 5, 27, 25, 45, 291, 455, 741, 2259, 8131, 11779, 14693, 58729}},
+{4264, 16, 9458, {1, 3, 3, 7, 21, 33, 67, 49, 153, 491, 1811, 1955, 925, 15555, 13801, 48717}},
+{4265, 16, 9469, {1, 3, 1, 3, 11, 53, 105, 129, 457, 225, 497, 1123, 973, 2901, 26655, 3643}},
+{4266, 16, 9481, {1, 1, 7, 13, 29, 49, 71, 37, 321, 865, 735, 357, 7629, 6011, 28221, 39041}},
+{4267, 16, 9482, {1, 3, 5, 3, 19, 59, 65, 199, 69, 391, 1735, 3075, 287, 16213, 3211, 22425}},
+{4268, 16, 9495, {1, 1, 1, 5, 15, 61, 67, 255, 5, 689, 759, 155, 7245, 5881, 21685, 3863}},
+{4269, 16, 9526, {1, 1, 3, 11, 23, 63, 69, 241, 359, 735, 371, 603, 2707, 15833, 31795, 14901}},
+{4270, 16, 9530, {1, 1, 1, 7, 19, 33, 83, 19, 13, 667, 317, 3891, 5497, 8213, 4913, 22387}},
+{4271, 16, 9558, {1, 3, 5, 9, 13, 21, 11, 187, 249, 647, 349, 605, 2199, 5033, 29773, 48953}},
+{4272, 16, 9562, {1, 3, 3, 11, 3, 3, 93, 235, 441, 933, 383, 2007, 4015, 4175, 3937, 20623}},
+{4273, 16, 9573, {1, 3, 7, 13, 3, 61, 87, 219, 263, 651, 1343, 2709, 31, 16249, 4749, 28909}},
+{4274, 16, 9583, {1, 3, 1, 1, 17, 19, 101, 107, 499, 127, 13, 2123, 5597, 3751, 14527, 12009}},
+{4275, 16, 9595, {1, 3, 5, 13, 27, 57, 1, 195, 107, 947, 1475, 2831, 6449, 16117, 20555, 61513}},
+{4276, 16, 9597, {1, 3, 1, 9, 9, 47, 89, 187, 401, 299, 637, 197, 1235, 12655, 25025, 24443}},
+{4277, 16, 9616, {1, 1, 3, 5, 9, 57, 33, 41, 451, 983, 391, 2707, 705, 13913, 28843, 34091}},
+{4278, 16, 9638, {1, 3, 5, 3, 29, 19, 61, 31, 349, 253, 1267, 3345, 2151, 11309, 19623, 62407}},
+{4279, 16, 9649, {1, 1, 1, 3, 11, 37, 31, 59, 1, 253, 103, 2811, 1871, 4239, 26311, 32507}},
+{4280, 16, 9662, {1, 1, 5, 7, 7, 7, 69, 63, 281, 901, 1785, 2131, 4265, 253, 13997, 30177}},
+{4281, 16, 9691, {1, 3, 1, 11, 3, 27, 111, 67, 411, 751, 241, 293, 6271, 4187, 22119, 63737}},
+{4282, 16, 9700, {1, 3, 5, 5, 27, 19, 45, 203, 81, 59, 1839, 935, 4847, 1869, 12037, 30971}},
+{4283, 16, 9703, {1, 1, 3, 9, 19, 25, 9, 27, 373, 875, 1735, 689, 2957, 7873, 29771, 4093}},
+{4284, 16, 9710, {1, 1, 7, 11, 13, 39, 11, 129, 53, 433, 1731, 899, 5855, 10221, 24165, 50205}},
+{4285, 16, 9721, {1, 3, 1, 15, 25, 31, 85, 49, 325, 299, 183, 287, 2425, 15353, 25999, 59129}},
+{4286, 16, 9724, {1, 1, 5, 5, 17, 25, 23, 5, 287, 677, 591, 981, 429, 15297, 14573, 61095}},
+{4287, 16, 9727, {1, 1, 5, 15, 5, 15, 67, 195, 209, 341, 1621, 1379, 3031, 5469, 31563, 49291}},
+{4288, 16, 9743, {1, 1, 1, 1, 25, 33, 61, 201, 15, 125, 969, 1965, 2021, 10253, 23801, 28165}},
+{4289, 16, 9779, {1, 1, 5, 5, 13, 17, 5, 245, 11, 133, 287, 1929, 4331, 15919, 29663, 10243}},
+{4290, 16, 9785, {1, 1, 7, 9, 19, 33, 39, 191, 489, 631, 69, 1883, 2183, 14993, 32715, 62217}},
+{4291, 16, 9811, {1, 3, 3, 13, 23, 61, 103, 193, 501, 431, 437, 417, 6557, 11701, 27577, 42943}},
+{4292, 16, 9820, {1, 3, 3, 9, 9, 27, 69, 247, 469, 841, 733, 813, 2673, 7145, 5385, 44917}},
+{4293, 16, 9827, {1, 1, 7, 9, 5, 13, 19, 71, 323, 923, 1885, 3031, 4507, 13787, 14149, 1483}},
+{4294, 16, 9851, {1, 3, 1, 5, 1, 15, 89, 229, 301, 733, 1343, 2415, 6463, 1875, 9293, 6037}},
+{4295, 16, 9854, {1, 3, 1, 5, 29, 57, 67, 121, 311, 441, 1079, 1963, 7137, 6745, 9893, 22811}},
+{4296, 16, 9863, {1, 1, 7, 7, 25, 13, 27, 61, 331, 361, 481, 3783, 3061, 7827, 18885, 27583}},
+{4297, 16, 9884, {1, 3, 1, 5, 17, 47, 19, 83, 309, 65, 1573, 3437, 5623, 12691, 21075, 27789}},
+{4298, 16, 9894, {1, 1, 7, 9, 13, 51, 7, 209, 131, 111, 1143, 53, 7277, 9297, 20869, 33121}},
+{4299, 16, 9903, {1, 1, 3, 9, 13, 17, 57, 89, 239, 281, 775, 333, 5631, 2805, 10195, 9665}},
+{4300, 16, 9908, {1, 1, 3, 7, 19, 39, 71, 79, 63, 551, 103, 3169, 2761, 13929, 20751, 18951}},
+{4301, 16, 9912, {1, 1, 7, 11, 5, 23, 7, 249, 447, 483, 433, 3117, 1421, 14991, 5397, 19813}},
+{4302, 16, 9925, {1, 3, 1, 13, 3, 9, 109, 241, 181, 33, 853, 3939, 3751, 2151, 28375, 64443}},
+{4303, 16, 9926, {1, 1, 7, 7, 3, 33, 65, 211, 251, 631, 1819, 3913, 3353, 12975, 19117, 51515}},
+{4304, 16, 9971, {1, 1, 1, 13, 3, 21, 9, 203, 223, 229, 1399, 117, 6297, 11535, 16383, 12541}},
+{4305, 16, 9973, {1, 1, 5, 7, 25, 9, 53, 27, 497, 103, 1915, 2179, 3679, 11375, 18907, 63385}},
+{4306, 16, 9977, {1, 3, 1, 5, 1, 53, 91, 169, 87, 387, 377, 1121, 7241, 5133, 1949, 13433}},
+{4307, 16, 10021, {1, 1, 1, 3, 27, 35, 61, 189, 241, 445, 287, 325, 127, 2363, 30663, 43557}},
+{4308, 16, 10039, {1, 3, 1, 3, 17, 47, 59, 237, 213, 979, 807, 85, 4621, 9915, 13631, 55657}},
+{4309, 16, 10048, {1, 3, 5, 7, 27, 5, 101, 89, 495, 675, 1181, 2295, 1913, 3731, 32639, 58297}},
+{4310, 16, 10051, {1, 3, 3, 11, 5, 41, 49, 229, 93, 659, 927, 3425, 4083, 11859, 10603, 20631}},
+{4311, 16, 10065, {1, 3, 5, 11, 31, 51, 67, 69, 253, 497, 1665, 1985, 5439, 15999, 4175, 62175}},
+{4312, 16, 10071, {1, 1, 7, 11, 1, 21, 95, 19, 205, 513, 1329, 1821, 1251, 2381, 32623, 23923}},
+{4313, 16, 10072, {1, 1, 5, 13, 3, 1, 29, 175, 315, 865, 599, 1695, 1391, 2313, 31035, 19159}},
+{4314, 16, 10101, {1, 3, 3, 1, 3, 45, 109, 93, 481, 285, 869, 3441, 3715, 1355, 9581, 50173}},
+{4315, 16, 10106, {1, 3, 7, 7, 15, 35, 107, 107, 315, 213, 281, 2073, 4689, 5877, 31, 40967}},
+{4316, 16, 10130, {1, 1, 3, 11, 11, 3, 73, 41, 79, 37, 481, 1993, 931, 7677, 11321, 45735}},
+{4317, 16, 10136, {1, 1, 7, 1, 15, 21, 65, 237, 263, 849, 863, 4039, 3171, 13381, 30373, 51639}},
+{4318, 16, 10148, {1, 1, 1, 3, 21, 57, 113, 3, 487, 41, 1277, 633, 2839, 4977, 14537, 31749}},
+{4319, 16, 10155, {1, 1, 5, 1, 1, 55, 71, 181, 147, 895, 1839, 2157, 3187, 6403, 30367, 48915}},
+{4320, 16, 10157, {1, 1, 5, 3, 9, 17, 19, 127, 115, 875, 831, 2439, 7475, 1921, 18657, 27709}},
+{4321, 16, 10160, {1, 3, 3, 13, 29, 11, 35, 81, 291, 483, 625, 3957, 6017, 12543, 18773, 2471}},
+{4322, 16, 10166, {1, 3, 3, 13, 11, 39, 7, 85, 493, 209, 819, 3277, 4275, 8997, 22943, 33199}},
+{4323, 16, 10183, {1, 1, 1, 7, 11, 25, 1, 57, 505, 135, 1713, 3051, 5893, 10711, 10681, 12235}},
+{4324, 16, 10192, {1, 3, 5, 11, 23, 33, 13, 107, 289, 251, 235, 1747, 4097, 12237, 17559, 5063}},
+{4325, 16, 10225, {1, 3, 3, 9, 19, 17, 23, 45, 297, 147, 1301, 2057, 7871, 9971, 1965, 62449}},
+{4326, 16, 10241, {1, 1, 7, 3, 17, 21, 19, 203, 289, 897, 1967, 3519, 3261, 8199, 24181, 23273}},
+{4327, 16, 10247, {1, 1, 7, 11, 1, 17, 25, 63, 509, 969, 47, 1329, 701, 5227, 419, 14839}},
+{4328, 16, 10284, {1, 3, 5, 11, 1, 41, 81, 157, 395, 97, 1919, 3043, 6015, 15, 23733, 55485}},
+{4329, 16, 10304, {1, 1, 3, 11, 17, 37, 17, 181, 179, 297, 1007, 1559, 6275, 11645, 7535, 28941}},
+{4330, 16, 10322, {1, 3, 7, 15, 5, 47, 31, 237, 215, 563, 207, 1867, 6635, 6857, 11837, 22865}},
+{4331, 16, 10331, {1, 3, 1, 7, 7, 39, 51, 179, 57, 987, 893, 2715, 1045, 5799, 19805, 54275}},
+{4332, 16, 10333, {1, 1, 7, 15, 25, 9, 127, 243, 323, 1013, 929, 2891, 7549, 1071, 17663, 15247}},
+{4333, 16, 10340, {1, 1, 1, 5, 25, 23, 101, 9, 371, 89, 1749, 3559, 8071, 13887, 14807, 42825}},
+{4334, 16, 10347, {1, 3, 3, 11, 21, 41, 3, 77, 3, 709, 1745, 3615, 4141, 5275, 28329, 59739}},
+{4335, 16, 10357, {1, 1, 7, 13, 1, 11, 73, 183, 363, 241, 863, 3983, 3235, 293, 649, 441}},
+{4336, 16, 10371, {1, 1, 5, 3, 13, 27, 13, 191, 57, 639, 1803, 2353, 3143, 12763, 5771, 36155}},
+{4337, 16, 10386, {1, 1, 5, 3, 1, 53, 85, 45, 283, 823, 1213, 3261, 4599, 13267, 4613, 12657}},
+{4338, 16, 10404, {1, 3, 5, 15, 27, 49, 59, 123, 357, 527, 337, 2751, 3999, 8525, 12501, 40621}},
+{4339, 16, 10414, {1, 1, 1, 7, 1, 55, 85, 17, 447, 599, 1315, 2313, 1649, 907, 25647, 3251}},
+{4340, 16, 10422, {1, 3, 5, 13, 9, 1, 37, 121, 143, 1, 631, 2273, 1673, 3649, 27533, 28731}},
+{4341, 16, 10448, {1, 1, 7, 13, 9, 31, 57, 249, 397, 815, 501, 895, 1217, 11387, 8635, 65193}},
+{4342, 16, 10451, {1, 1, 5, 5, 9, 35, 95, 193, 133, 513, 1929, 3841, 3063, 2383, 24413, 51185}},
+{4343, 16, 10473, {1, 1, 1, 13, 3, 49, 45, 191, 15, 181, 1819, 3741, 1227, 12775, 9461, 44951}},
+{4344, 16, 10479, {1, 1, 1, 1, 3, 45, 121, 19, 269, 829, 517, 3913, 183, 11019, 24969, 21973}},
+{4345, 16, 10501, {1, 1, 5, 11, 31, 39, 125, 189, 401, 57, 1557, 1727, 1415, 4025, 30353, 36589}},
+{4346, 16, 10530, {1, 1, 3, 9, 3, 55, 125, 187, 409, 499, 1853, 2781, 4323, 16159, 16345, 34659}},
+{4347, 16, 10542, {1, 3, 5, 11, 31, 5, 125, 137, 197, 475, 2003, 617, 1289, 8365, 28981, 57537}},
+{4348, 16, 10544, {1, 1, 1, 5, 19, 29, 83, 127, 311, 177, 1635, 2187, 5377, 12841, 7591, 6095}},
+{4349, 16, 10571, {1, 3, 5, 5, 21, 39, 65, 197, 115, 411, 1457, 3011, 7021, 14119, 61, 21107}},
+{4350, 16, 10628, {1, 3, 3, 9, 19, 57, 99, 23, 451, 507, 973, 415, 7123, 11367, 29767, 23763}},
+{4351, 16, 10643, {1, 1, 5, 7, 29, 23, 47, 11, 267, 873, 591, 373, 7097, 3783, 23289, 5547}},
+{4352, 16, 10673, {1, 1, 5, 15, 7, 7, 7, 91, 389, 841, 1995, 459, 7013, 3109, 23615, 21519}},
+{4353, 16, 10683, {1, 3, 1, 1, 13, 25, 87, 235, 193, 201, 713, 1633, 3117, 13609, 17211, 573}},
+{4354, 16, 10736, {1, 1, 1, 9, 27, 53, 105, 39, 217, 781, 997, 661, 6243, 6427, 17739, 62239}},
+{4355, 16, 10795, {1, 1, 7, 3, 3, 49, 75, 125, 239, 195, 215, 2983, 1185, 4743, 12069, 55509}},
+{4356, 16, 10797, {1, 1, 5, 15, 31, 11, 9, 91, 253, 361, 571, 1589, 2425, 4279, 3765, 46519}},
+{4357, 16, 10815, {1, 1, 3, 3, 21, 49, 49, 213, 399, 253, 1565, 2447, 453, 7957, 24799, 58503}},
+{4358, 16, 10817, {1, 1, 7, 1, 5, 59, 81, 97, 209, 477, 17, 3085, 3655, 599, 24011, 14981}},
+{4359, 16, 10842, {1, 3, 3, 13, 19, 49, 7, 35, 111, 169, 629, 1587, 5345, 13699, 21187, 30199}},
+{4360, 16, 10844, {1, 1, 3, 13, 19, 59, 73, 127, 475, 509, 9, 2661, 711, 15835, 31429, 33885}},
+{4361, 16, 10863, {1, 3, 5, 3, 31, 15, 43, 185, 29, 897, 1041, 1057, 6285, 13925, 4023, 25741}},
+{4362, 16, 10899, {1, 3, 5, 11, 1, 33, 63, 155, 175, 501, 1147, 3395, 3285, 16237, 22315, 50945}},
+{4363, 16, 10902, {1, 3, 3, 3, 5, 13, 77, 227, 85, 139, 139, 1, 7147, 2023, 32705, 38753}},
+{4364, 16, 10917, {1, 3, 5, 11, 31, 59, 35, 179, 489, 537, 1537, 2877, 4937, 10825, 2445, 34907}},
+{4365, 16, 10953, {1, 3, 7, 11, 17, 17, 95, 223, 165, 925, 829, 3971, 1, 7393, 8825, 25705}},
+{4366, 16, 10967, {1, 1, 1, 1, 25, 17, 25, 143, 385, 907, 1381, 1823, 3819, 8475, 5321, 12037}},
+{4367, 16, 11002, {1, 1, 5, 11, 7, 47, 97, 85, 105, 23, 263, 1329, 1905, 12121, 29635, 41249}},
+{4368, 16, 11024, {1, 1, 7, 11, 1, 51, 13, 13, 5, 143, 83, 3831, 959, 6083, 16997, 59887}},
+{4369, 16, 11029, {1, 3, 3, 13, 25, 9, 31, 5, 215, 791, 767, 1733, 2715, 14283, 25795, 54249}},
+{4370, 16, 11030, {1, 3, 7, 5, 11, 19, 125, 81, 71, 131, 1869, 1111, 6763, 5275, 23095, 1139}},
+{4371, 16, 11043, {1, 3, 3, 9, 25, 43, 119, 49, 133, 217, 521, 1367, 5867, 6829, 29871, 60383}},
+{4372, 16, 11087, {1, 1, 7, 9, 5, 11, 59, 157, 279, 301, 481, 3273, 7943, 3273, 27783, 17271}},
+{4373, 16, 11106, {1, 3, 3, 13, 11, 57, 13, 5, 435, 169, 541, 517, 2359, 9121, 27911, 15679}},
+{4374, 16, 11130, {1, 1, 3, 9, 9, 55, 65, 113, 21, 807, 373, 2825, 1527, 15565, 8339, 7227}},
+{4375, 16, 11156, {1, 3, 5, 9, 1, 1, 49, 255, 477, 821, 1647, 713, 6841, 3187, 22649, 51469}},
+{4376, 16, 11176, {1, 3, 3, 11, 13, 43, 63, 139, 71, 809, 993, 2429, 833, 6545, 10987, 39567}},
+{4377, 16, 11221, {1, 1, 1, 9, 19, 23, 47, 199, 191, 827, 391, 837, 1209, 2493, 24071, 46589}},
+{4378, 16, 11267, {1, 1, 5, 13, 25, 51, 39, 43, 103, 899, 1729, 2389, 2965, 189, 3063, 50609}},
+{4379, 16, 11282, {1, 1, 3, 1, 5, 29, 105, 201, 503, 199, 507, 205, 2389, 695, 15233, 50353}},
+{4380, 16, 11294, {1, 3, 1, 7, 19, 53, 45, 21, 89, 545, 1885, 765, 6673, 13485, 9987, 2609}},
+{4381, 16, 11332, {1, 3, 7, 13, 17, 7, 59, 23, 159, 309, 1407, 2483, 1807, 15733, 5603, 52989}},
+{4382, 16, 11353, {1, 1, 1, 11, 13, 19, 123, 185, 413, 745, 361, 2391, 6697, 2281, 11999, 13175}},
+{4383, 16, 11369, {1, 3, 5, 5, 11, 49, 123, 173, 325, 667, 895, 1067, 8121, 10577, 30561, 17391}},
+{4384, 16, 11372, {1, 1, 5, 5, 23, 21, 77, 223, 281, 161, 141, 345, 3879, 11393, 26907, 53805}},
+{4385, 16, 11375, {1, 3, 3, 5, 3, 47, 17, 109, 185, 139, 957, 1417, 4553, 6101, 29537, 34821}},
+{4386, 16, 11413, {1, 1, 5, 3, 29, 49, 89, 61, 45, 593, 269, 1483, 2971, 991, 21239, 29301}},
+{4387, 16, 11429, {1, 1, 3, 13, 29, 45, 33, 253, 291, 783, 737, 2363, 2651, 8627, 21785, 58419}},
+{4388, 16, 11430, {1, 3, 7, 15, 29, 15, 81, 185, 363, 681, 1737, 3789, 4365, 3295, 23205, 4457}},
+{4389, 16, 11444, {1, 3, 3, 11, 15, 39, 67, 167, 197, 357, 871, 2201, 5377, 6299, 20873, 59283}},
+{4390, 16, 11462, {1, 3, 3, 5, 9, 15, 127, 49, 21, 719, 357, 425, 5507, 9639, 275, 47503}},
+{4391, 16, 11465, {1, 1, 7, 1, 13, 63, 111, 121, 21, 481, 247, 3147, 5783, 8947, 20809, 42039}},
+{4392, 16, 11471, {1, 1, 3, 3, 31, 33, 9, 69, 187, 517, 2029, 2205, 7661, 4757, 27525, 9665}},
+{4393, 16, 11473, {1, 1, 1, 13, 7, 41, 103, 161, 233, 221, 693, 213, 4609, 7771, 28703, 17407}},
+{4394, 16, 11495, {1, 3, 7, 15, 31, 47, 27, 111, 479, 1003, 1687, 347, 2179, 11861, 8169, 31941}},
+{4395, 16, 11499, {1, 1, 3, 5, 5, 63, 25, 125, 199, 147, 589, 3565, 3449, 8331, 8923, 31207}},
+{4396, 16, 11519, {1, 1, 3, 11, 19, 25, 77, 99, 299, 19, 1641, 2193, 4299, 3635, 20621, 267}},
+{4397, 16, 11562, {1, 3, 7, 11, 9, 59, 7, 167, 1, 775, 29, 1935, 3723, 11835, 2887, 65285}},
+{4398, 16, 11576, {1, 1, 7, 13, 5, 47, 101, 155, 235, 93, 465, 3581, 1837, 7675, 10789, 45167}},
+{4399, 16, 11582, {1, 1, 3, 5, 9, 59, 121, 109, 59, 821, 1625, 343, 1591, 3875, 13729, 56381}},
+{4400, 16, 11596, {1, 1, 1, 9, 27, 53, 93, 215, 133, 561, 39, 2591, 1041, 11913, 24493, 37921}},
+{4401, 16, 11602, {1, 1, 1, 7, 23, 7, 81, 107, 219, 943, 563, 1083, 5803, 5687, 32559, 62727}},
+{4402, 16, 11611, {1, 3, 7, 7, 21, 53, 3, 5, 231, 601, 1561, 103, 3837, 2675, 5263, 23375}},
+{4403, 16, 11627, {1, 1, 3, 13, 15, 27, 89, 7, 251, 887, 951, 3001, 5687, 4921, 5091, 59337}},
+{4404, 16, 11682, {1, 3, 7, 15, 25, 53, 19, 155, 185, 503, 547, 1917, 7633, 15167, 14177, 46761}},
+{4405, 16, 11687, {1, 3, 5, 15, 21, 49, 13, 163, 471, 281, 1141, 3013, 6847, 9261, 15955, 9397}},
+{4406, 16, 11691, {1, 3, 3, 3, 1, 21, 19, 239, 479, 609, 65, 2735, 5337, 6293, 19351, 34135}},
+{4407, 16, 11733, {1, 1, 7, 1, 9, 1, 119, 23, 411, 535, 101, 1597, 2379, 2421, 31471, 36473}},
+{4408, 16, 11747, {1, 3, 1, 11, 31, 63, 17, 225, 45, 409, 59, 3943, 8043, 11759, 10667, 58793}},
+{4409, 16, 11759, {1, 1, 3, 3, 9, 49, 61, 239, 245, 765, 1945, 3567, 5355, 14799, 7141, 59511}},
+{4410, 16, 11778, {1, 3, 7, 9, 3, 33, 103, 99, 35, 799, 1347, 2253, 8189, 14177, 13479, 13749}},
+{4411, 16, 11852, {1, 3, 1, 15, 15, 51, 7, 179, 471, 265, 1571, 2983, 701, 15133, 7885, 29977}},
+{4412, 16, 11857, {1, 1, 5, 9, 15, 37, 49, 213, 113, 729, 1115, 2727, 2635, 8433, 11145, 46779}},
+{4413, 16, 11858, {1, 3, 5, 11, 7, 3, 115, 151, 133, 723, 7, 4063, 5807, 9845, 25829, 29315}},
+{4414, 16, 11893, {1, 3, 5, 9, 25, 55, 17, 135, 145, 379, 1603, 3459, 5773, 6545, 17509, 25847}},
+{4415, 16, 11907, {1, 1, 7, 11, 1, 61, 113, 147, 489, 775, 1347, 2199, 299, 9589, 19931, 1335}},
+{4416, 16, 11928, {1, 3, 1, 3, 1, 7, 27, 243, 355, 425, 1215, 3723, 3489, 9285, 12739, 24797}},
+{4417, 16, 11931, {1, 3, 5, 11, 15, 25, 57, 221, 247, 647, 259, 1665, 7055, 2835, 16411, 42999}},
+{4418, 16, 11933, {1, 1, 3, 7, 9, 25, 61, 233, 73, 235, 1539, 1865, 5671, 1329, 5767, 43039}},
+{4419, 16, 11967, {1, 1, 7, 9, 21, 11, 123, 7, 41, 407, 1485, 1723, 585, 10597, 16215, 63403}},
+{4420, 16, 11976, {1, 1, 5, 7, 27, 9, 123, 101, 273, 673, 1141, 3841, 4041, 13169, 8221, 12915}},
+{4421, 16, 11989, {1, 3, 1, 13, 3, 17, 105, 17, 237, 321, 855, 2821, 2467, 3503, 15187, 1689}},
+{4422, 16, 12003, {1, 1, 5, 5, 19, 23, 9, 205, 87, 153, 1543, 1193, 6619, 6845, 8459, 37533}},
+{4423, 16, 12024, {1, 1, 7, 15, 13, 29, 79, 9, 203, 211, 239, 2349, 3447, 7797, 19311, 58071}},
+{4424, 16, 12030, {1, 3, 5, 11, 5, 49, 71, 151, 333, 895, 1095, 2471, 2477, 14493, 16711, 14393}},
+{4425, 16, 12037, {1, 1, 5, 13, 17, 19, 25, 149, 111, 631, 763, 2535, 3631, 1809, 8163, 18037}},
+{4426, 16, 12044, {1, 3, 3, 13, 23, 61, 25, 179, 351, 247, 1021, 2413, 2585, 3731, 5435, 52723}},
+{4427, 16, 12052, {1, 1, 5, 11, 1, 39, 65, 59, 21, 927, 1989, 2823, 4857, 15521, 30495, 16067}},
+{4428, 16, 12059, {1, 3, 3, 7, 17, 5, 17, 125, 379, 875, 1565, 2435, 933, 6809, 20129, 26339}},
+{4429, 16, 12075, {1, 1, 7, 5, 3, 57, 51, 213, 455, 663, 2007, 3995, 4889, 9527, 23507, 3261}},
+{4430, 16, 12083, {1, 3, 7, 5, 1, 29, 85, 151, 165, 123, 1425, 2851, 4427, 7683, 21085, 28925}},
+{4431, 16, 12117, {1, 1, 5, 3, 11, 33, 127, 3, 41, 591, 1539, 3823, 125, 421, 9051, 55025}},
+{4432, 16, 12138, {1, 3, 1, 5, 7, 9, 69, 35, 59, 477, 1207, 1245, 6423, 11329, 26535, 37621}},
+{4433, 16, 12146, {1, 3, 1, 1, 15, 35, 17, 123, 303, 193, 1489, 2587, 1883, 4063, 1921, 60413}},
+{4434, 16, 12202, {1, 1, 5, 1, 7, 61, 39, 247, 139, 1015, 757, 823, 4757, 9307, 32287, 37241}},
+{4435, 16, 12230, {1, 1, 7, 15, 3, 5, 85, 93, 457, 999, 1331, 919, 5271, 11687, 24233, 38803}},
+{4436, 16, 12254, {1, 3, 3, 9, 5, 43, 37, 13, 505, 603, 1857, 2675, 2017, 9481, 10873, 54755}},
+{4437, 16, 12304, {1, 1, 5, 15, 13, 3, 7, 239, 471, 835, 553, 413, 4029, 8613, 15533, 58987}},
+{4438, 16, 12316, {1, 3, 1, 5, 19, 27, 21, 43, 57, 755, 1245, 2805, 3799, 2013, 21145, 10317}},
+{4439, 16, 12337, {1, 3, 5, 13, 9, 23, 35, 5, 315, 169, 399, 2641, 1525, 10561, 11917, 33009}},
+{4440, 16, 12347, {1, 3, 5, 7, 23, 53, 101, 105, 451, 207, 1271, 3067, 6725, 15525, 7951, 1283}},
+{4441, 16, 12367, {1, 1, 5, 5, 27, 21, 77, 143, 213, 443, 149, 2667, 5269, 10359, 25287, 5843}},
+{4442, 16, 12398, {1, 3, 5, 5, 25, 27, 109, 157, 459, 767, 765, 2667, 1833, 3781, 9077, 64321}},
+{4443, 16, 12421, {1, 3, 3, 13, 31, 25, 97, 237, 279, 431, 1713, 809, 1989, 10431, 5867, 42197}},
+{4444, 16, 12428, {1, 3, 7, 3, 9, 5, 5, 191, 73, 521, 787, 903, 3073, 2067, 24741, 57029}},
+{4445, 16, 12446, {1, 3, 3, 1, 3, 41, 125, 53, 125, 781, 865, 3677, 6279, 357, 10667, 1127}},
+{4446, 16, 12449, {1, 1, 5, 11, 25, 19, 99, 121, 359, 73, 607, 2149, 5739, 15669, 29457, 57549}},
+{4447, 16, 12467, {1, 1, 5, 3, 23, 5, 35, 55, 369, 239, 329, 3057, 3757, 12523, 5017, 52185}},
+{4448, 16, 12479, {1, 3, 3, 13, 17, 61, 69, 165, 267, 323, 2007, 2025, 4423, 15975, 31897, 37013}},
+{4449, 16, 12502, {1, 3, 7, 13, 19, 19, 87, 111, 389, 611, 1523, 963, 4671, 12569, 21839, 10919}},
+{4450, 16, 12521, {1, 1, 1, 3, 1, 27, 13, 227, 29, 457, 221, 127, 5335, 16247, 19559, 19185}},
+{4451, 16, 12553, {1, 3, 5, 7, 29, 21, 23, 157, 197, 87, 1591, 1829, 407, 15885, 14933, 1997}},
+{4452, 16, 12568, {1, 1, 1, 9, 3, 35, 43, 187, 195, 325, 197, 2905, 7323, 1563, 7659, 45185}},
+{4453, 16, 12573, {1, 1, 1, 15, 3, 23, 105, 33, 73, 495, 1409, 2583, 1099, 1041, 28955, 60293}},
+{4454, 16, 12592, {1, 3, 7, 13, 25, 19, 99, 137, 139, 719, 529, 1147, 5813, 11551, 30183, 14593}},
+{4455, 16, 12597, {1, 3, 3, 5, 17, 25, 73, 193, 309, 887, 1655, 1641, 2091, 12087, 21881, 1145}},
+{4456, 16, 12601, {1, 3, 1, 1, 27, 41, 13, 151, 83, 645, 327, 1795, 2717, 12433, 22751, 9823}},
+{4457, 16, 12615, {1, 1, 3, 7, 1, 43, 77, 229, 59, 499, 1883, 135, 3461, 9821, 219, 6111}},
+{4458, 16, 12619, {1, 3, 3, 3, 23, 7, 17, 67, 361, 565, 1621, 3253, 7973, 281, 3209, 48215}},
+{4459, 16, 12694, {1, 1, 3, 7, 31, 15, 97, 141, 197, 883, 1689, 269, 7487, 10403, 18903, 58147}},
+{4460, 16, 12697, {1, 3, 3, 3, 23, 9, 87, 125, 359, 527, 1251, 637, 1145, 12721, 14693, 6021}},
+{4461, 16, 12698, {1, 1, 3, 5, 13, 43, 105, 173, 205, 859, 1237, 1227, 1409, 15513, 25317, 30745}},
+{4462, 16, 12713, {1, 3, 3, 15, 31, 43, 125, 149, 145, 109, 975, 1167, 7629, 8373, 5923, 64117}},
+{4463, 16, 12722, {1, 3, 1, 15, 3, 33, 89, 173, 379, 615, 1401, 1567, 4453, 7461, 32555, 64369}},
+{4464, 16, 12733, {1, 3, 7, 11, 27, 23, 45, 7, 15, 21, 1663, 3327, 5611, 8535, 27669, 25525}},
+{4465, 16, 12736, {1, 1, 3, 15, 15, 61, 127, 145, 151, 41, 629, 767, 5801, 3395, 1157, 30033}},
+{4466, 16, 12790, {1, 1, 1, 5, 9, 63, 73, 9, 299, 237, 369, 1295, 4869, 6821, 19961, 32129}},
+{4467, 16, 12794, {1, 1, 5, 13, 19, 7, 119, 35, 319, 405, 1255, 1299, 4311, 14999, 24567, 4001}},
+{4468, 16, 12803, {1, 1, 1, 13, 9, 39, 13, 207, 355, 691, 37, 3137, 6073, 16179, 28661, 41}},
+{4469, 16, 12815, {1, 1, 3, 7, 21, 3, 123, 27, 187, 183, 769, 2367, 2957, 7065, 17855, 60805}},
+{4470, 16, 12829, {1, 1, 1, 1, 19, 31, 71, 85, 303, 617, 1007, 283, 8087, 11079, 11463, 65295}},
+{4471, 16, 12833, {1, 1, 3, 13, 25, 63, 61, 187, 401, 465, 1485, 801, 3649, 7763, 8495, 54479}},
+{4472, 16, 12840, {1, 3, 7, 3, 13, 51, 41, 119, 311, 699, 1113, 3631, 1981, 3259, 25871, 45659}},
+{4473, 16, 12875, {1, 3, 7, 13, 31, 27, 57, 181, 325, 107, 1745, 635, 3941, 3305, 14563, 29855}},
+{4474, 16, 12877, {1, 3, 7, 15, 5, 55, 5, 147, 365, 485, 1841, 3673, 6513, 11121, 5725, 18027}},
+{4475, 16, 12916, {1, 3, 5, 11, 13, 45, 35, 79, 109, 683, 1171, 3015, 2163, 4823, 4365, 42931}},
+{4476, 16, 12923, {1, 1, 7, 7, 13, 45, 57, 39, 297, 985, 1559, 487, 5071, 2657, 9401, 41889}},
+{4477, 16, 12935, {1, 1, 5, 9, 29, 33, 79, 237, 509, 537, 549, 3657, 7141, 15189, 30853, 36089}},
+{4478, 16, 12949, {1, 3, 5, 7, 31, 15, 75, 73, 237, 273, 865, 743, 2607, 7611, 18441, 12703}},
+{4479, 16, 12954, {1, 1, 1, 9, 27, 9, 35, 137, 265, 181, 1341, 1945, 5615, 161, 18369, 4791}},
+{4480, 16, 12956, {1, 3, 7, 11, 27, 29, 29, 43, 489, 177, 1489, 2927, 623, 14571, 22447, 46905}},
+{4481, 16, 12959, {1, 3, 3, 3, 19, 41, 107, 53, 239, 263, 1433, 1655, 7991, 7405, 2735, 25519}},
+{4482, 16, 12978, {1, 3, 5, 7, 19, 37, 73, 243, 215, 445, 1781, 3223, 187, 8443, 18185, 45093}},
+{4483, 16, 13001, {1, 1, 3, 13, 9, 57, 111, 111, 221, 505, 1261, 3045, 1655, 16247, 21033, 17993}},
+{4484, 16, 13010, {1, 1, 7, 5, 7, 55, 77, 5, 131, 969, 1481, 2883, 2645, 3003, 5601, 37063}},
+{4485, 16, 13043, {1, 1, 5, 15, 29, 55, 39, 197, 349, 29, 341, 67, 1977, 425, 4063, 42705}},
+{4486, 16, 13049, {1, 1, 7, 13, 1, 57, 81, 81, 129, 681, 1407, 2465, 3627, 2325, 31649, 18449}},
+{4487, 16, 13058, {1, 3, 5, 5, 23, 59, 35, 217, 393, 155, 1315, 105, 2285, 5167, 27997, 55193}},
+{4488, 16, 13112, {1, 1, 7, 3, 11, 59, 53, 179, 319, 819, 947, 3881, 765, 4219, 16405, 48055}},
+{4489, 16, 13140, {1, 1, 3, 9, 23, 9, 67, 67, 137, 523, 1585, 2441, 167, 5217, 12031, 14297}},
+{4490, 16, 13149, {1, 1, 5, 13, 31, 63, 121, 91, 439, 917, 203, 1519, 4363, 2391, 25755, 26677}},
+{4491, 16, 13163, {1, 1, 3, 5, 25, 31, 11, 95, 339, 817, 35, 3923, 7365, 10537, 5521, 54579}},
+{4492, 16, 13187, {1, 3, 7, 1, 3, 33, 47, 13, 139, 445, 1357, 3907, 7495, 8789, 26589, 43479}},
+{4493, 16, 13196, {1, 1, 1, 11, 5, 45, 61, 13, 167, 287, 931, 881, 5713, 12937, 12951, 21597}},
+{4494, 16, 13237, {1, 3, 5, 1, 29, 23, 7, 117, 503, 897, 733, 1113, 7205, 11507, 561, 34011}},
+{4495, 16, 13244, {1, 3, 5, 7, 3, 51, 21, 147, 35, 259, 689, 3801, 2481, 9673, 4065, 595}},
+{4496, 16, 13264, {1, 3, 3, 9, 9, 29, 5, 191, 393, 979, 1627, 937, 75, 2339, 24007, 30555}},
+{4497, 16, 13279, {1, 1, 5, 7, 9, 35, 111, 23, 113, 563, 1689, 1575, 6127, 9919, 2555, 52261}},
+{4498, 16, 13292, {1, 3, 1, 5, 31, 21, 117, 159, 473, 279, 1281, 311, 159, 3343, 27761, 59989}},
+{4499, 16, 13295, {1, 1, 5, 1, 23, 31, 67, 241, 401, 69, 933, 777, 267, 12411, 23767, 9047}},
+{4500, 16, 13307, {1, 1, 5, 1, 15, 49, 99, 15, 267, 913, 1581, 3713, 651, 14275, 10103, 57619}},
+{4501, 16, 13312, {1, 3, 5, 9, 19, 23, 95, 5, 449, 153, 1195, 1315, 2347, 12683, 10865, 50703}},
+{4502, 16, 13317, {1, 1, 1, 13, 17, 17, 115, 31, 135, 725, 795, 1695, 6199, 4179, 5223, 48457}},
+{4503, 16, 13327, {1, 3, 5, 15, 31, 15, 3, 247, 385, 269, 1665, 581, 2809, 6333, 7459, 14815}},
+{4504, 16, 13348, {1, 3, 7, 5, 15, 35, 117, 85, 11, 621, 1523, 981, 511, 14113, 4673, 22683}},
+{4505, 16, 13390, {1, 1, 7, 1, 27, 61, 119, 249, 431, 147, 173, 423, 1353, 4747, 12761, 32947}},
+{4506, 16, 13413, {1, 3, 7, 1, 23, 39, 15, 153, 219, 359, 1233, 169, 2817, 11043, 12435, 30135}},
+{4507, 16, 13417, {1, 1, 5, 1, 1, 55, 39, 1, 151, 865, 125, 2351, 6315, 1165, 20163, 43991}},
+{4508, 16, 13418, {1, 1, 3, 9, 25, 41, 115, 221, 129, 265, 1887, 4057, 7523, 13591, 5735, 59645}},
+{4509, 16, 13451, {1, 1, 5, 5, 19, 15, 9, 77, 511, 627, 153, 2015, 247, 15949, 9715, 45411}},
+{4510, 16, 13475, {1, 1, 7, 7, 17, 17, 107, 183, 39, 647, 1339, 3915, 4937, 537, 27011, 58937}},
+{4511, 16, 13482, {1, 3, 3, 13, 3, 3, 69, 201, 431, 65, 683, 121, 7017, 2791, 16713, 62555}},
+{4512, 16, 13510, {1, 3, 7, 3, 7, 41, 117, 237, 23, 757, 545, 3899, 1837, 5555, 7891, 29151}},
+{4513, 16, 13527, {1, 1, 1, 3, 27, 15, 39, 195, 353, 299, 1431, 2279, 1795, 13773, 24915, 49701}},
+{4514, 16, 13543, {1, 1, 5, 5, 7, 7, 125, 5, 401, 523, 1967, 2471, 7279, 7559, 12025, 60599}},
+{4515, 16, 13547, {1, 1, 1, 13, 13, 59, 13, 249, 465, 847, 1483, 975, 7729, 2773, 15745, 51237}},
+{4516, 16, 13627, {1, 1, 7, 9, 31, 41, 115, 141, 247, 355, 1109, 3239, 6495, 4515, 30145, 47705}},
+{4517, 16, 13650, {1, 1, 3, 13, 29, 41, 69, 179, 45, 271, 1909, 3095, 7199, 14049, 9903, 33383}},
+{4518, 16, 13683, {1, 1, 3, 13, 7, 45, 105, 105, 243, 121, 67, 3169, 237, 137, 4175, 54325}},
+{4519, 16, 13696, {1, 3, 3, 11, 19, 51, 93, 155, 79, 579, 1621, 1251, 7639, 15875, 25815, 56063}},
+{4520, 16, 13702, {1, 3, 3, 9, 27, 27, 77, 45, 217, 965, 1045, 875, 4515, 11261, 27859, 757}},
+{4521, 16, 13713, {1, 1, 3, 11, 17, 7, 81, 37, 299, 765, 977, 3371, 3163, 13267, 18345, 9239}},
+{4522, 16, 13739, {1, 1, 1, 3, 15, 23, 115, 11, 183, 511, 557, 3253, 153, 8465, 22659, 42143}},
+{4523, 16, 13749, {1, 1, 5, 13, 17, 61, 127, 219, 225, 981, 615, 731, 4069, 12637, 11601, 38257}},
+{4524, 16, 13767, {1, 1, 5, 3, 29, 3, 73, 79, 393, 779, 823, 2473, 3811, 4417, 9399, 50011}},
+{4525, 16, 13774, {1, 3, 3, 9, 21, 35, 61, 99, 115, 657, 629, 1129, 2355, 12665, 459, 40831}},
+{4526, 16, 13781, {1, 3, 1, 7, 25, 61, 53, 249, 15, 649, 665, 595, 1441, 8035, 5381, 7147}},
+{4527, 16, 13795, {1, 3, 1, 7, 19, 9, 27, 207, 205, 461, 1069, 4039, 6549, 2333, 29, 50067}},
+{4528, 16, 13821, {1, 1, 5, 3, 15, 7, 115, 205, 71, 73, 53, 71, 6049, 15293, 17041, 20313}},
+{4529, 16, 13825, {1, 1, 7, 7, 9, 7, 119, 99, 357, 729, 2041, 3355, 5333, 1263, 30521, 64867}},
+{4530, 16, 13838, {1, 1, 1, 7, 31, 63, 63, 159, 281, 295, 913, 2161, 8033, 13789, 17711, 14915}},
+{4531, 16, 13852, {1, 1, 7, 9, 29, 55, 69, 129, 453, 361, 1883, 17, 1765, 111, 10311, 55019}},
+{4532, 16, 13879, {1, 1, 5, 9, 21, 15, 31, 57, 291, 915, 945, 1775, 5905, 9073, 3271, 15571}},
+{4533, 16, 13888, {1, 1, 1, 7, 21, 11, 1, 9, 167, 143, 1535, 1267, 6675, 13037, 19513, 52027}},
+{4534, 16, 13897, {1, 3, 3, 7, 31, 45, 57, 105, 63, 121, 631, 679, 3873, 16333, 32069, 64725}},
+{4535, 16, 13906, {1, 1, 1, 9, 23, 41, 29, 207, 489, 319, 905, 3147, 4195, 2697, 5281, 1771}},
+{4536, 16, 13939, {1, 1, 1, 9, 25, 33, 57, 201, 405, 111, 407, 3489, 449, 8601, 1273, 42105}},
+{4537, 16, 13962, {1, 1, 1, 3, 19, 45, 123, 159, 237, 173, 781, 787, 7537, 15453, 25567, 53729}},
+{4538, 16, 13981, {1, 1, 7, 3, 29, 9, 89, 207, 345, 685, 1701, 2859, 8065, 9289, 2459, 28367}},
+{4539, 16, 13985, {1, 3, 1, 3, 31, 41, 55, 241, 81, 1001, 595, 1725, 853, 11427, 20617, 1717}},
+{4540, 16, 14020, {1, 1, 3, 3, 9, 45, 121, 69, 177, 1017, 211, 2753, 6923, 1387, 32063, 45337}},
+{4541, 16, 14030, {1, 1, 5, 15, 21, 23, 95, 61, 485, 403, 619, 3035, 4881, 13423, 17815, 35221}},
+{4542, 16, 14041, {1, 1, 3, 3, 3, 59, 23, 69, 77, 309, 227, 2877, 3739, 3539, 20083, 23415}},
+{4543, 16, 14047, {1, 3, 7, 3, 17, 43, 95, 239, 223, 353, 1237, 3239, 1369, 7245, 32401, 63889}},
+{4544, 16, 14048, {1, 1, 1, 5, 25, 63, 123, 3, 291, 819, 793, 241, 5619, 8871, 18341, 2757}},
+{4545, 16, 14066, {1, 3, 7, 15, 3, 21, 17, 97, 395, 333, 909, 3783, 3635, 751, 24227, 44281}},
+{4546, 16, 14092, {1, 3, 7, 13, 29, 49, 123, 195, 191, 159, 211, 1887, 3047, 4871, 2607, 32425}},
+{4547, 16, 14120, {1, 1, 7, 7, 15, 57, 91, 255, 267, 897, 441, 1581, 953, 6951, 17275, 50229}},
+{4548, 16, 14126, {1, 3, 7, 15, 1, 35, 91, 219, 7, 117, 119, 2687, 1215, 9517, 10849, 28347}},
+{4549, 16, 14131, {1, 1, 1, 1, 21, 55, 67, 221, 503, 883, 1037, 2965, 1485, 8557, 28091, 25459}},
+{4550, 16, 14143, {1, 3, 5, 9, 19, 3, 73, 123, 95, 307, 1339, 3669, 5077, 12049, 523, 21457}},
+{4551, 16, 14146, {1, 3, 1, 13, 3, 1, 111, 97, 371, 697, 1989, 3715, 7875, 6841, 7009, 17809}},
+{4552, 16, 14152, {1, 1, 1, 9, 25, 21, 19, 43, 329, 531, 491, 1147, 1469, 12841, 29651, 29517}},
+{4553, 16, 14155, {1, 1, 5, 1, 15, 63, 101, 197, 477, 245, 341, 61, 3803, 10001, 5519, 19083}},
+{4554, 16, 14157, {1, 3, 7, 5, 13, 43, 7, 143, 291, 531, 1727, 871, 7091, 5737, 24285, 51017}},
+{4555, 16, 14188, {1, 3, 5, 1, 17, 13, 15, 85, 361, 153, 989, 1367, 4705, 3599, 4441, 52471}},
+{4556, 16, 14206, {1, 1, 7, 13, 21, 43, 111, 29, 299, 439, 1929, 283, 5901, 14113, 3929, 55843}},
+{4557, 16, 14243, {1, 3, 3, 9, 31, 59, 63, 43, 91, 171, 733, 1359, 425, 8505, 19777, 54723}},
+{4558, 16, 14278, {1, 1, 5, 7, 31, 1, 97, 253, 331, 307, 1749, 2115, 2535, 9945, 11013, 14231}},
+{4559, 16, 14308, {1, 1, 5, 11, 13, 7, 109, 237, 301, 383, 683, 1603, 6393, 2437, 12101, 1767}},
+{4560, 16, 14317, {1, 1, 3, 11, 15, 61, 119, 199, 109, 265, 1431, 1729, 3409, 10129, 16945, 34681}},
+{4561, 16, 14335, {1, 3, 7, 9, 13, 59, 121, 73, 29, 513, 279, 457, 7985, 15199, 10185, 33621}},
+{4562, 16, 14354, {1, 3, 7, 7, 23, 17, 27, 65, 387, 487, 1803, 2789, 461, 11201, 7001, 40229}},
+{4563, 16, 14356, {1, 1, 3, 15, 9, 13, 55, 127, 33, 513, 1055, 643, 505, 3005, 6121, 64147}},
+{4564, 16, 14379, {1, 3, 5, 15, 5, 11, 77, 233, 175, 691, 171, 2491, 6915, 14195, 7845, 36499}},
+{4565, 16, 14381, {1, 1, 5, 11, 19, 45, 103, 207, 99, 645, 1739, 1517, 5907, 16035, 14559, 44007}},
+{4566, 16, 14384, {1, 3, 7, 15, 21, 27, 53, 107, 89, 291, 983, 3527, 1025, 2985, 13747, 32715}},
+{4567, 16, 14389, {1, 1, 3, 15, 23, 17, 27, 209, 77, 959, 813, 3597, 5809, 693, 10325, 16855}},
+{4568, 16, 14390, {1, 1, 7, 11, 23, 53, 123, 99, 211, 935, 1371, 1657, 4699, 2683, 27933, 21451}},
+{4569, 16, 14414, {1, 3, 3, 3, 17, 21, 93, 201, 423, 351, 1639, 227, 5719, 13111, 5993, 44615}},
+{4570, 16, 14425, {1, 1, 7, 3, 13, 49, 59, 255, 213, 147, 1441, 3593, 6419, 15657, 1947, 62713}},
+{4571, 16, 14462, {1, 3, 1, 7, 7, 41, 79, 135, 275, 585, 925, 3139, 4351, 1827, 23533, 63031}},
+{4572, 16, 14472, {1, 1, 7, 3, 11, 1, 13, 149, 29, 897, 1043, 2393, 3931, 6741, 19973, 46303}},
+{4573, 16, 14508, {1, 1, 1, 13, 13, 57, 9, 253, 149, 67, 1531, 4049, 3013, 13947, 3371, 35317}},
+{4574, 16, 14511, {1, 3, 1, 1, 15, 19, 11, 125, 179, 383, 1273, 1551, 6441, 6579, 19659, 31005}},
+{4575, 16, 14519, {1, 1, 3, 15, 29, 37, 11, 199, 273, 663, 549, 3167, 2049, 8815, 30719, 47905}},
+{4576, 16, 14528, {1, 1, 1, 15, 7, 9, 113, 231, 155, 27, 419, 1303, 4493, 5633, 5743, 51335}},
+{4577, 16, 14561, {1, 3, 5, 13, 21, 35, 7, 63, 391, 637, 2011, 841, 5933, 10563, 7593, 34767}},
+{4578, 16, 14574, {1, 3, 1, 15, 19, 13, 89, 127, 507, 715, 1305, 2989, 7551, 1953, 26101, 54913}},
+{4579, 16, 14588, {1, 1, 5, 1, 1, 33, 101, 211, 173, 761, 177, 2721, 6949, 15801, 6639, 21405}},
+{4580, 16, 14594, {1, 3, 1, 13, 15, 23, 113, 177, 43, 743, 57, 3875, 7833, 13619, 17637, 5547}},
+{4581, 16, 14606, {1, 1, 3, 13, 21, 7, 123, 83, 391, 731, 597, 2595, 1949, 14619, 17141, 60595}},
+{4582, 16, 14614, {1, 3, 7, 13, 31, 55, 15, 43, 17, 855, 233, 1411, 1063, 12977, 22159, 59185}},
+{4583, 16, 14639, {1, 3, 7, 7, 17, 53, 67, 37, 245, 941, 1213, 1965, 6635, 10189, 12979, 63503}},
+{4584, 16, 14641, {1, 1, 5, 15, 31, 23, 15, 175, 177, 643, 1705, 3541, 2009, 12005, 27281, 16821}},
+{4585, 16, 14648, {1, 3, 1, 13, 27, 37, 1, 171, 255, 445, 171, 3555, 8169, 399, 20975, 36195}},
+{4586, 16, 14668, {1, 3, 7, 11, 13, 15, 123, 65, 173, 317, 1991, 2093, 8073, 12831, 15455, 30175}},
+{4587, 16, 14673, {1, 3, 1, 7, 5, 53, 59, 219, 407, 501, 875, 2627, 1335, 14387, 25523, 28337}},
+{4588, 16, 14679, {1, 3, 3, 13, 13, 41, 93, 125, 41, 461, 887, 1085, 3393, 11945, 16329, 43531}},
+{4589, 16, 14695, {1, 3, 1, 11, 21, 39, 1, 185, 429, 285, 443, 1165, 451, 10903, 31511, 50555}},
+{4590, 16, 14702, {1, 1, 7, 5, 11, 25, 61, 171, 493, 733, 215, 1871, 7783, 14113, 2061, 58961}},
+{4591, 16, 14704, {1, 1, 7, 7, 27, 23, 53, 45, 131, 301, 275, 3855, 4883, 6303, 25269, 12697}},
+{4592, 16, 14740, {1, 3, 5, 7, 11, 15, 71, 101, 377, 803, 1369, 3741, 633, 10571, 30659, 31101}},
+{4593, 16, 14754, {1, 1, 5, 15, 19, 53, 3, 153, 411, 685, 1405, 109, 5755, 13311, 3713, 24579}},
+{4594, 16, 14774, {1, 1, 3, 3, 27, 7, 89, 39, 5, 853, 1757, 2927, 2889, 9735, 17959, 39301}},
+{4595, 16, 14792, {1, 3, 1, 3, 13, 41, 57, 71, 187, 285, 825, 1807, 7261, 2645, 21861, 1839}},
+{4596, 16, 14797, {1, 3, 3, 5, 15, 21, 23, 7, 341, 981, 891, 721, 7221, 3137, 28725, 54993}},
+{4597, 16, 14806, {1, 1, 5, 3, 3, 61, 59, 97, 205, 359, 185, 3361, 7637, 15473, 6351, 62097}},
+{4598, 16, 14812, {1, 1, 1, 9, 13, 11, 123, 71, 199, 251, 535, 371, 1605, 12107, 13833, 2019}},
+{4599, 16, 14856, {1, 1, 7, 13, 27, 1, 43, 73, 409, 601, 1481, 649, 3293, 12257, 23377, 17225}},
+{4600, 16, 14876, {1, 1, 7, 11, 15, 55, 99, 45, 261, 461, 1507, 3575, 4425, 9895, 20191, 61863}},
+{4601, 16, 14900, {1, 3, 7, 1, 3, 7, 19, 85, 139, 691, 1685, 137, 7547, 16143, 14193, 52479}},
+{4602, 16, 14910, {1, 3, 5, 9, 17, 61, 7, 189, 31, 641, 1381, 3999, 4909, 8463, 31761, 54493}},
+{4603, 16, 14912, {1, 1, 5, 15, 17, 15, 69, 111, 55, 1011, 1859, 2643, 6043, 5125, 15875, 611}},
+{4604, 16, 14915, {1, 1, 3, 5, 3, 33, 73, 227, 327, 369, 189, 1841, 5625, 1179, 18651, 34951}},
+{4605, 16, 14922, {1, 3, 7, 13, 1, 17, 109, 149, 89, 889, 799, 3423, 2599, 14525, 12763, 23855}},
+{4606, 16, 14939, {1, 1, 3, 15, 5, 63, 87, 7, 63, 171, 1215, 557, 3009, 16305, 23517, 40101}},
+{4607, 16, 14946, {1, 1, 3, 3, 29, 31, 79, 183, 401, 813, 41, 1111, 5669, 15697, 7813, 10215}},
+{4608, 16, 14955, {1, 1, 5, 7, 9, 25, 25, 57, 343, 375, 535, 3405, 1909, 3201, 2417, 52285}},
+{4609, 16, 14966, {1, 1, 5, 9, 25, 19, 33, 183, 29, 991, 1045, 2249, 2933, 12525, 13943, 10423}},
+{4610, 16, 14976, {1, 3, 1, 7, 3, 45, 49, 37, 429, 67, 821, 1289, 7311, 16165, 25861, 57715}},
+{4611, 16, 14986, {1, 1, 7, 3, 19, 3, 33, 153, 505, 683, 611, 1691, 6421, 15517, 19161, 49013}},
+{4612, 16, 14993, {1, 3, 7, 7, 21, 21, 85, 55, 293, 199, 1671, 1881, 7147, 8241, 16173, 51873}},
+{4613, 16, 15012, {1, 3, 1, 15, 3, 61, 97, 191, 435, 511, 1599, 2705, 1897, 2607, 1801, 48583}},
+{4614, 16, 15041, {1, 1, 5, 3, 9, 23, 23, 185, 401, 947, 33, 385, 7491, 14129, 14561, 13759}},
+{4615, 16, 15053, {1, 3, 5, 15, 19, 21, 37, 233, 149, 673, 29, 1315, 3487, 6705, 28283, 43135}},
+{4616, 16, 15056, {1, 1, 1, 11, 9, 35, 101, 255, 345, 829, 689, 2747, 2145, 2101, 24863, 35529}},
+{4617, 16, 15059, {1, 3, 7, 9, 5, 5, 53, 247, 157, 729, 1621, 129, 2485, 5371, 11115, 47771}},
+{4618, 16, 15110, {1, 1, 3, 9, 29, 29, 13, 229, 87, 281, 1119, 1085, 4423, 1667, 27067, 50397}},
+{4619, 16, 15116, {1, 1, 3, 7, 11, 29, 77, 85, 121, 495, 501, 3209, 3531, 2307, 11367, 34135}},
+{4620, 16, 15133, {1, 1, 7, 9, 3, 37, 33, 209, 493, 869, 367, 3221, 1643, 3353, 22851, 4313}},
+{4621, 16, 15134, {1, 1, 1, 7, 15, 53, 27, 17, 29, 345, 821, 1831, 1963, 10089, 5101, 32689}},
+{4622, 16, 15137, {1, 1, 3, 9, 9, 61, 31, 215, 497, 591, 1301, 157, 3329, 13877, 9017, 34673}},
+{4623, 16, 15147, {1, 1, 5, 1, 29, 49, 93, 139, 279, 167, 143, 279, 6145, 6247, 519, 8869}},
+{4624, 16, 15182, {1, 3, 3, 1, 25, 41, 81, 219, 505, 335, 1941, 2963, 413, 775, 4181, 55269}},
+{4625, 16, 15203, {1, 1, 1, 11, 27, 23, 91, 9, 497, 811, 1469, 1999, 5377, 2943, 17635, 11151}},
+{4626, 16, 15215, {1, 1, 5, 15, 17, 23, 15, 235, 271, 749, 1873, 3805, 5405, 7421, 24339, 14351}},
+{4627, 16, 15245, {1, 3, 7, 1, 5, 61, 81, 9, 269, 43, 1391, 2711, 6973, 11299, 2263, 8715}},
+{4628, 16, 15246, {1, 1, 5, 13, 11, 1, 69, 235, 25, 227, 63, 2591, 913, 12555, 6263, 38981}},
+{4629, 16, 15264, {1, 3, 1, 7, 17, 7, 97, 251, 149, 959, 1895, 1179, 4031, 15975, 20313, 64067}},
+{4630, 16, 15269, {1, 3, 7, 15, 3, 17, 85, 229, 149, 925, 585, 3755, 2359, 13131, 12665, 28861}},
+{4631, 16, 15296, {1, 3, 3, 9, 5, 31, 107, 93, 347, 851, 1249, 2161, 6095, 8315, 20259, 39527}},
+{4632, 16, 15314, {1, 3, 7, 7, 21, 63, 85, 241, 501, 627, 1211, 1713, 6907, 4229, 7557, 55719}},
+{4633, 16, 15323, {1, 1, 1, 13, 19, 43, 21, 177, 13, 353, 679, 511, 5565, 993, 25345, 25087}},
+{4634, 16, 15364, {1, 3, 3, 15, 21, 15, 87, 83, 381, 547, 1429, 2417, 2425, 2097, 20889, 12353}},
+{4635, 16, 15386, {1, 3, 1, 11, 23, 21, 69, 147, 427, 271, 1829, 525, 2951, 10773, 32425, 17685}},
+{4636, 16, 15391, {1, 3, 1, 7, 15, 55, 21, 131, 195, 927, 635, 3505, 3817, 14883, 1149, 10079}},
+{4637, 16, 15436, {1, 3, 3, 9, 23, 15, 45, 147, 249, 87, 377, 1551, 4343, 15373, 2895, 44973}},
+{4638, 16, 15460, {1, 3, 1, 7, 31, 63, 67, 107, 109, 1019, 815, 231, 8135, 559, 8175, 21735}},
+{4639, 16, 15464, {1, 1, 5, 7, 7, 63, 103, 133, 167, 883, 1647, 2827, 6015, 8541, 16963, 37129}},
+{4640, 16, 15469, {1, 3, 5, 9, 27, 25, 59, 147, 29, 943, 865, 1233, 2165, 15259, 2235, 25831}},
+{4641, 16, 15470, {1, 1, 5, 7, 25, 5, 67, 89, 493, 111, 359, 1115, 7963, 6545, 7749, 29179}},
+{4642, 16, 15477, {1, 3, 7, 5, 19, 17, 89, 195, 337, 115, 1417, 3837, 4761, 1959, 16205, 61597}},
+{4643, 16, 15488, {1, 1, 5, 11, 25, 43, 3, 111, 491, 897, 1541, 909, 4751, 739, 7827, 64485}},
+{4644, 16, 15494, {1, 1, 5, 15, 19, 61, 39, 111, 451, 419, 1657, 2427, 4589, 5577, 23967, 19259}},
+{4645, 16, 15548, {1, 3, 3, 1, 31, 15, 7, 131, 329, 847, 537, 1775, 3833, 5683, 17267, 16389}},
+{4646, 16, 15551, {1, 1, 7, 1, 9, 29, 13, 25, 409, 513, 1695, 2175, 5099, 727, 5723, 43547}},
+{4647, 16, 15560, {1, 1, 5, 7, 13, 11, 29, 123, 127, 193, 1647, 3157, 2149, 16209, 19909, 14473}},
+{4648, 16, 15563, {1, 1, 1, 15, 15, 37, 125, 157, 487, 143, 1891, 2895, 4397, 10685, 1463, 55027}},
+{4649, 16, 15604, {1, 3, 7, 1, 1, 15, 115, 105, 479, 529, 1095, 2687, 4483, 15027, 15487, 7113}},
+{4650, 16, 15607, {1, 1, 3, 9, 23, 63, 113, 211, 155, 931, 175, 3037, 2359, 10413, 24561, 21099}},
+{4651, 16, 15616, {1, 3, 3, 11, 5, 15, 13, 37, 257, 447, 203, 545, 2467, 9979, 17543, 62703}},
+{4652, 16, 15631, {1, 1, 3, 7, 17, 31, 83, 91, 79, 265, 1415, 2347, 5337, 7615, 27739, 33841}},
+{4653, 16, 15699, {1, 3, 5, 7, 17, 63, 37, 153, 347, 909, 1945, 7, 2071, 15195, 32083, 26713}},
+{4654, 16, 15701, {1, 1, 3, 11, 19, 51, 69, 21, 323, 635, 443, 1685, 6275, 13787, 20921, 45553}},
+{4655, 16, 15708, {1, 3, 3, 7, 15, 35, 67, 247, 257, 429, 2029, 523, 3219, 3893, 26677, 53273}},
+{4656, 16, 15739, {1, 1, 7, 9, 9, 3, 119, 121, 445, 149, 1539, 1887, 2995, 14867, 809, 48065}},
+{4657, 16, 15746, {1, 3, 5, 13, 15, 27, 75, 9, 217, 35, 1363, 2383, 4357, 1153, 20565, 62277}},
+{4658, 16, 15772, {1, 1, 7, 1, 21, 1, 11, 53, 331, 765, 407, 453, 2725, 11199, 645, 14915}},
+{4659, 16, 15793, {1, 1, 5, 1, 29, 11, 5, 159, 395, 53, 323, 1347, 5529, 8525, 24003, 20535}},
+{4660, 16, 15832, {1, 3, 3, 15, 9, 19, 87, 181, 391, 639, 703, 611, 997, 359, 2471, 58465}},
+{4661, 16, 15837, {1, 3, 5, 9, 27, 9, 117, 47, 223, 509, 1537, 1235, 3885, 6767, 17131, 63421}},
+{4662, 16, 15866, {1, 1, 5, 1, 15, 15, 113, 67, 477, 597, 1795, 3065, 4565, 3609, 16419, 19667}},
+{4663, 16, 15899, {1, 1, 7, 11, 1, 63, 33, 211, 271, 773, 499, 2309, 1303, 14015, 30377, 53195}},
+{4664, 16, 15911, {1, 1, 7, 11, 5, 23, 17, 183, 321, 315, 203, 3371, 907, 9331, 21031, 33765}},
+{4665, 16, 15918, {1, 3, 3, 7, 7, 53, 111, 69, 441, 283, 195, 2415, 7293, 7659, 2731, 5417}},
+{4666, 16, 15952, {1, 3, 5, 15, 3, 61, 5, 241, 427, 463, 1729, 653, 7671, 10979, 7247, 36931}},
+{4667, 16, 15962, {1, 3, 1, 9, 3, 5, 105, 117, 465, 853, 2005, 3925, 4419, 4441, 3701, 50747}},
+{4668, 16, 15967, {1, 1, 3, 7, 1, 3, 3, 149, 65, 405, 299, 99, 481, 14323, 11565, 6227}},
+{4669, 16, 15973, {1, 3, 7, 5, 29, 3, 19, 3, 253, 895, 879, 2435, 2151, 10673, 11013, 43055}},
+{4670, 16, 15977, {1, 3, 1, 11, 15, 57, 127, 197, 319, 913, 1039, 811, 7767, 5791, 31725, 8733}},
+{4671, 16, 16016, {1, 1, 7, 3, 13, 25, 25, 81, 229, 185, 39, 2789, 579, 4973, 28617, 60871}},
+{4672, 16, 16035, {1, 1, 7, 3, 25, 17, 41, 7, 103, 269, 55, 2651, 7579, 10935, 8917, 14323}},
+{4673, 16, 16044, {1, 3, 7, 7, 13, 7, 99, 205, 293, 877, 1893, 3013, 2389, 6021, 2645, 18175}},
+{4674, 16, 16067, {1, 1, 3, 7, 9, 39, 59, 187, 191, 761, 339, 3381, 2921, 5197, 16963, 43019}},
+{4675, 16, 16082, {1, 3, 3, 13, 7, 23, 41, 203, 311, 981, 323, 1675, 6689, 579, 3885, 64475}},
+{4676, 16, 16084, {1, 3, 5, 15, 21, 39, 35, 193, 167, 1009, 493, 829, 6571, 1299, 13061, 1163}},
+{4677, 16, 16098, {1, 1, 3, 5, 3, 19, 123, 123, 111, 599, 193, 3419, 7173, 5595, 12449, 52247}},
+{4678, 16, 16107, {1, 3, 5, 11, 9, 25, 65, 49, 239, 953, 481, 3455, 4335, 305, 22469, 11949}},
+{4679, 16, 16142, {1, 1, 3, 7, 15, 1, 13, 77, 147, 49, 1445, 931, 3405, 15951, 15215, 26451}},
+{4680, 16, 16149, {1, 3, 1, 1, 21, 53, 17, 7, 247, 243, 805, 795, 489, 13351, 13493, 30937}},
+{4681, 16, 16165, {1, 3, 7, 5, 5, 13, 39, 115, 397, 757, 423, 2559, 1677, 9449, 24563, 869}},
+{4682, 16, 16172, {1, 1, 3, 11, 23, 9, 27, 233, 165, 853, 1721, 599, 551, 11657, 27623, 40119}},
+{4683, 16, 16178, {1, 1, 3, 1, 3, 47, 75, 207, 113, 417, 1317, 2215, 2395, 1841, 23125, 50401}},
+{4684, 16, 16197, {1, 3, 3, 1, 13, 55, 103, 55, 351, 785, 1665, 3603, 7705, 4811, 21129, 38115}},
+{4685, 16, 16201, {1, 1, 1, 5, 5, 49, 93, 189, 317, 701, 1545, 1017, 4133, 7655, 19827, 52155}},
+{4686, 16, 16215, {1, 3, 3, 13, 17, 37, 7, 249, 139, 529, 235, 3801, 7871, 459, 15127, 13231}},
+{4687, 16, 16221, {1, 3, 7, 5, 7, 63, 99, 241, 131, 455, 1287, 3539, 8029, 12661, 23313, 54029}},
+{4688, 16, 16226, {1, 3, 1, 3, 29, 63, 51, 227, 497, 685, 1351, 449, 7851, 10815, 17379, 62097}},
+{4689, 16, 16232, {1, 3, 1, 11, 25, 61, 73, 29, 467, 533, 855, 853, 5557, 10953, 18307, 27135}},
+{4690, 16, 16246, {1, 1, 7, 3, 13, 49, 63, 171, 177, 283, 1365, 3087, 5445, 15109, 12523, 25193}},
+{4691, 16, 16261, {1, 3, 5, 15, 9, 39, 95, 81, 417, 199, 1653, 3673, 2663, 8101, 12199, 22759}},
+{4692, 16, 16279, {1, 1, 3, 9, 29, 15, 29, 215, 21, 721, 245, 1197, 7251, 5721, 6735, 7751}},
+{4693, 16, 16280, {1, 3, 5, 5, 21, 7, 81, 61, 157, 707, 819, 1689, 4203, 5559, 25483, 43325}},
+{4694, 16, 16290, {1, 1, 7, 13, 15, 51, 47, 197, 269, 921, 353, 2865, 6227, 537, 20015, 53823}},
+{4695, 16, 16314, {1, 1, 3, 5, 13, 25, 91, 221, 111, 587, 1119, 2343, 4651, 4641, 15915, 36323}},
+{4696, 16, 16345, {1, 1, 7, 11, 1, 45, 7, 215, 483, 545, 731, 3041, 3121, 8681, 20651, 4069}},
+{4697, 16, 16355, {1, 3, 7, 13, 13, 27, 109, 65, 103, 805, 299, 2069, 6017, 14565, 20505, 16161}},
+{4698, 16, 16361, {1, 1, 7, 5, 11, 33, 105, 213, 237, 583, 1033, 2333, 845, 6493, 505, 2563}},
+{4699, 16, 16393, {1, 1, 5, 7, 3, 5, 11, 173, 373, 341, 269, 177, 3175, 9413, 601, 13591}},
+{4700, 16, 16394, {1, 1, 5, 13, 7, 57, 61, 187, 121, 405, 665, 111, 7535, 3355, 14051, 511}},
+{4701, 16, 16438, {1, 1, 1, 3, 3, 29, 15, 253, 227, 123, 333, 1343, 7313, 1955, 17741, 30831}},
+{4702, 16, 16450, {1, 3, 5, 1, 5, 47, 65, 183, 199, 839, 925, 2711, 4609, 201, 15177, 29817}},
+{4703, 16, 16507, {1, 3, 7, 9, 21, 63, 5, 163, 265, 581, 1795, 3937, 4641, 2073, 32225, 60831}},
+{4704, 16, 16523, {1, 1, 1, 5, 7, 47, 125, 203, 511, 841, 1937, 3431, 1495, 12827, 5893, 19265}},
+{4705, 16, 16533, {1, 1, 5, 5, 9, 49, 17, 247, 391, 241, 3, 2253, 6319, 89, 4449, 6371}},
+{4706, 16, 16603, {1, 3, 1, 1, 31, 7, 51, 61, 461, 391, 273, 1609, 5825, 16029, 3851, 39213}},
+{4707, 16, 16648, {1, 3, 3, 7, 29, 21, 65, 75, 317, 925, 1319, 3827, 965, 5685, 17007, 64365}},
+{4708, 16, 16653, {1, 3, 1, 5, 23, 23, 109, 59, 31, 659, 635, 2209, 857, 9847, 2507, 18325}},
+{4709, 16, 16672, {1, 1, 1, 1, 17, 51, 53, 77, 461, 147, 229, 2821, 2405, 1259, 1121, 17429}},
+{4710, 16, 16682, {1, 3, 5, 3, 31, 3, 57, 157, 321, 731, 1609, 2139, 899, 12599, 19803, 51083}},
+{4711, 16, 16709, {1, 1, 3, 11, 27, 43, 73, 209, 431, 587, 1247, 2803, 3593, 1351, 18701, 33423}},
+{4712, 16, 16713, {1, 3, 5, 13, 27, 19, 67, 245, 339, 879, 2035, 1801, 5845, 3883, 22057, 15771}},
+{4713, 16, 16719, {1, 1, 3, 11, 11, 55, 93, 51, 57, 127, 1325, 3975, 3989, 2347, 18831, 2979}},
+{4714, 16, 16733, {1, 1, 1, 13, 17, 1, 17, 103, 303, 777, 1973, 2943, 7439, 8953, 27227, 10229}},
+{4715, 16, 16740, {1, 3, 3, 15, 1, 41, 53, 219, 415, 399, 995, 205, 7719, 10937, 31879, 755}},
+{4716, 16, 16761, {1, 3, 7, 9, 13, 7, 99, 93, 419, 1019, 1605, 161, 3831, 9147, 7877, 1333}},
+{4717, 16, 16767, {1, 3, 7, 15, 5, 51, 37, 115, 259, 549, 353, 2067, 7657, 1283, 20333, 2325}},
+{4718, 16, 16771, {1, 1, 3, 3, 23, 33, 63, 233, 363, 719, 1099, 471, 3079, 10577, 19063, 31535}},
+{4719, 16, 16788, {1, 3, 7, 15, 23, 19, 109, 105, 497, 881, 1055, 537, 4607, 239, 22785, 60201}},
+{4720, 16, 16811, {1, 3, 3, 5, 19, 11, 1, 207, 163, 437, 713, 667, 1427, 7505, 28055, 43101}},
+{4721, 16, 16814, {1, 3, 5, 5, 25, 45, 75, 9, 109, 545, 573, 2685, 1013, 2973, 18619, 55945}},
+{4722, 16, 16816, {1, 1, 1, 3, 27, 27, 39, 33, 285, 453, 613, 2707, 2155, 4355, 21105, 7969}},
+{4723, 16, 16828, {1, 3, 3, 9, 1, 31, 71, 101, 491, 409, 65, 1479, 5743, 525, 2863, 53657}},
+{4724, 16, 16834, {1, 1, 3, 1, 17, 63, 55, 11, 125, 447, 275, 2243, 6827, 5753, 32401, 13819}},
+{4725, 16, 16863, {1, 1, 3, 9, 21, 47, 5, 127, 285, 471, 1681, 945, 6141, 5651, 10273, 30811}},
+{4726, 16, 16864, {1, 3, 3, 1, 13, 53, 91, 3, 255, 429, 107, 2937, 2971, 10251, 15009, 37477}},
+{4727, 16, 16879, {1, 1, 7, 13, 21, 63, 73, 3, 63, 491, 101, 1981, 7457, 879, 6243, 22275}},
+{4728, 16, 16888, {1, 3, 1, 1, 11, 43, 121, 101, 293, 639, 645, 2723, 2075, 3629, 22105, 18199}},
+{4729, 16, 16904, {1, 1, 3, 1, 31, 9, 69, 97, 511, 663, 1147, 1237, 389, 255, 8661, 38533}},
+{4730, 16, 16909, {1, 3, 3, 7, 3, 13, 23, 71, 197, 439, 2003, 1771, 8073, 1549, 29089, 5409}},
+{4731, 16, 16921, {1, 3, 1, 1, 9, 23, 1, 221, 159, 699, 593, 3385, 3869, 10105, 22097, 34753}},
+{4732, 16, 16934, {1, 1, 7, 1, 29, 47, 41, 137, 333, 357, 325, 3151, 6641, 3823, 8763, 28327}},
+{4733, 16, 16951, {1, 3, 1, 7, 19, 19, 39, 225, 477, 619, 583, 229, 6177, 9615, 1203, 13711}},
+{4734, 16, 16983, {1, 1, 3, 13, 9, 41, 127, 147, 13, 301, 861, 2019, 3517, 1147, 21587, 42387}},
+{4735, 16, 16999, {1, 1, 5, 11, 9, 63, 11, 121, 251, 199, 483, 2287, 4667, 3887, 10611, 6019}},
+{4736, 16, 17000, {1, 1, 3, 13, 23, 19, 89, 73, 355, 399, 749, 687, 5707, 11443, 817, 38967}},
+{4737, 16, 17006, {1, 3, 5, 9, 3, 23, 115, 207, 373, 541, 73, 1285, 7245, 12505, 5787, 61207}},
+{4738, 16, 17020, {1, 3, 5, 15, 27, 37, 115, 203, 195, 793, 1577, 1283, 7299, 4025, 5319, 5375}},
+{4739, 16, 17030, {1, 1, 7, 15, 25, 19, 61, 11, 215, 771, 1057, 451, 1965, 13693, 25617, 42657}},
+{4740, 16, 17033, {1, 3, 3, 7, 1, 19, 23, 217, 175, 901, 2009, 2989, 5111, 5027, 4805, 37843}},
+{4741, 16, 17044, {1, 3, 1, 11, 11, 37, 3, 131, 459, 769, 201, 3979, 3009, 8691, 27005, 32175}},
+{4742, 16, 17051, {1, 3, 5, 7, 27, 27, 117, 23, 403, 1003, 1501, 785, 6313, 10187, 5085, 30751}},
+{4743, 16, 17072, {1, 1, 7, 3, 11, 41, 73, 151, 19, 657, 131, 1901, 3879, 14995, 24085, 56621}},
+{4744, 16, 17078, {1, 3, 7, 15, 23, 3, 61, 199, 67, 483, 1961, 3583, 5937, 5749, 16685, 11831}},
+{4745, 16, 17084, {1, 1, 3, 15, 25, 15, 97, 9, 299, 641, 883, 2901, 123, 1523, 7055, 15609}},
+{4746, 16, 17087, {1, 3, 5, 5, 31, 55, 19, 45, 239, 543, 2005, 1041, 1711, 11059, 19927, 17475}},
+{4747, 16, 17090, {1, 1, 3, 9, 5, 59, 105, 209, 323, 613, 1963, 2227, 2947, 11761, 21375, 13265}},
+{4748, 16, 17123, {1, 3, 3, 15, 1, 5, 117, 37, 93, 243, 305, 2299, 5163, 9205, 28761, 35987}},
+{4749, 16, 17132, {1, 1, 1, 5, 5, 29, 13, 147, 457, 187, 1729, 1547, 7745, 13155, 7833, 57449}},
+{4750, 16, 17140, {1, 3, 3, 13, 1, 51, 49, 253, 23, 389, 1611, 3045, 5909, 3947, 25105, 3327}},
+{4751, 16, 17149, {1, 3, 1, 11, 15, 47, 19, 15, 231, 57, 763, 1879, 1765, 14861, 22893, 19437}},
+{4752, 16, 17157, {1, 1, 3, 15, 1, 19, 85, 65, 139, 629, 361, 3513, 3807, 799, 8349, 29247}},
+{4753, 16, 17164, {1, 3, 3, 13, 9, 11, 65, 201, 471, 89, 355, 121, 3947, 10775, 3599, 6041}},
+{4754, 16, 17170, {1, 3, 7, 3, 5, 53, 33, 167, 431, 129, 1449, 3263, 7691, 12569, 7551, 41101}},
+{4755, 16, 17179, {1, 1, 3, 15, 9, 41, 5, 239, 361, 773, 955, 3663, 6051, 12889, 5841, 59615}},
+{4756, 16, 17237, {1, 1, 7, 5, 5, 33, 97, 9, 495, 845, 1953, 3533, 5715, 15055, 25211, 9351}},
+{4757, 16, 17248, {1, 3, 1, 11, 25, 37, 83, 153, 289, 739, 353, 1121, 7641, 2081, 28439, 38085}},
+{4758, 16, 17260, {1, 3, 1, 1, 27, 9, 63, 135, 395, 641, 1759, 3727, 4371, 5193, 2783, 12389}},
+{4759, 16, 17272, {1, 3, 3, 15, 3, 9, 5, 153, 111, 675, 1957, 3817, 4269, 10787, 3413, 34199}},
+{4760, 16, 17275, {1, 3, 5, 9, 23, 23, 97, 137, 255, 249, 333, 2329, 1055, 13769, 13109, 33443}},
+{4761, 16, 17287, {1, 1, 1, 15, 7, 37, 99, 219, 483, 755, 263, 3523, 6179, 4817, 29873, 12771}},
+{4762, 16, 17294, {1, 1, 3, 5, 23, 7, 77, 97, 105, 631, 175, 1911, 7271, 1009, 24081, 61207}},
+{4763, 16, 17296, {1, 3, 5, 3, 1, 31, 71, 91, 265, 669, 1839, 3989, 8127, 15001, 1419, 8895}},
+{4764, 16, 17305, {1, 3, 1, 13, 27, 51, 93, 155, 49, 991, 653, 203, 3863, 5363, 31969, 36083}},
+{4765, 16, 17312, {1, 3, 3, 7, 31, 27, 21, 73, 21, 675, 407, 1215, 2963, 6799, 15259, 13125}},
+{4766, 16, 17321, {1, 3, 5, 13, 5, 53, 19, 215, 243, 487, 689, 2519, 6393, 3987, 30847, 37919}},
+{4767, 16, 17367, {1, 3, 3, 7, 5, 31, 115, 231, 255, 955, 2023, 1487, 6575, 9873, 22585, 29951}},
+{4768, 16, 17368, {1, 3, 5, 11, 11, 57, 109, 203, 417, 29, 1311, 893, 1047, 2413, 9305, 38219}},
+{4769, 16, 17378, {1, 3, 1, 7, 23, 51, 113, 3, 105, 915, 1145, 3431, 7331, 3323, 31669, 21485}},
+{4770, 16, 17433, {1, 1, 7, 13, 9, 29, 119, 205, 403, 1023, 257, 863, 2983, 1895, 16539, 23385}},
+{4771, 16, 17455, {1, 1, 7, 13, 27, 21, 47, 139, 341, 509, 1107, 2197, 3649, 14301, 30789, 48783}},
+{4772, 16, 17457, {1, 3, 3, 7, 25, 19, 99, 11, 309, 919, 1809, 3015, 1587, 3779, 1289, 30207}},
+{4773, 16, 17508, {1, 3, 5, 11, 9, 43, 57, 171, 9, 151, 173, 2301, 7723, 2083, 319, 52883}},
+{4774, 16, 17559, {1, 1, 3, 1, 3, 13, 63, 11, 231, 117, 1257, 237, 581, 13871, 15501, 8741}},
+{4775, 16, 17560, {1, 3, 5, 9, 13, 63, 55, 155, 291, 721, 123, 929, 3351, 11651, 12513, 1779}},
+{4776, 16, 17582, {1, 3, 7, 3, 31, 5, 61, 81, 465, 639, 1363, 3157, 2401, 9513, 32559, 34477}},
+{4777, 16, 17596, {1, 3, 1, 15, 27, 25, 3, 117, 277, 13, 707, 3825, 7287, 10181, 30127, 57247}},
+{4778, 16, 17599, {1, 1, 7, 11, 21, 21, 53, 17, 407, 851, 1191, 285, 6815, 1595, 25507, 8099}},
+{4779, 16, 17613, {1, 3, 5, 9, 9, 61, 83, 61, 65, 671, 63, 311, 6897, 15327, 29809, 4899}},
+{4780, 16, 17619, {1, 1, 7, 1, 21, 45, 99, 235, 477, 461, 1119, 4087, 2057, 14861, 31969, 24357}},
+{4781, 16, 17622, {1, 1, 7, 9, 31, 9, 65, 123, 281, 273, 1059, 1625, 6265, 9635, 11563, 45053}},
+{4782, 16, 17655, {1, 3, 3, 7, 1, 41, 15, 23, 43, 727, 1271, 1741, 765, 13265, 4145, 1335}},
+{4783, 16, 17661, {1, 1, 3, 7, 17, 55, 107, 231, 263, 197, 659, 3621, 2789, 5171, 28635, 13595}},
+{4784, 16, 17698, {1, 1, 5, 1, 27, 23, 13, 83, 431, 507, 1571, 1573, 1733, 12171, 8181, 30843}},
+{4785, 16, 17712, {1, 3, 7, 11, 1, 53, 107, 39, 497, 579, 453, 1339, 1415, 10317, 2741, 34599}},
+{4786, 16, 17715, {1, 3, 3, 5, 31, 41, 49, 41, 33, 665, 1783, 87, 317, 6603, 22603, 22879}},
+{4787, 16, 17721, {1, 3, 1, 15, 5, 47, 41, 87, 231, 853, 1615, 2299, 4643, 9249, 15641, 14323}},
+{4788, 16, 17722, {1, 3, 7, 9, 5, 45, 55, 153, 31, 247, 67, 2335, 6057, 4379, 27579, 38437}},
+{4789, 16, 17742, {1, 1, 5, 7, 9, 3, 73, 81, 479, 909, 1097, 3945, 4485, 7815, 22855, 20825}},
+{4790, 16, 17778, {1, 3, 1, 15, 19, 43, 97, 57, 339, 167, 135, 1777, 7681, 9715, 13863, 6347}},
+{4791, 16, 17818, {1, 1, 1, 1, 5, 53, 33, 123, 449, 165, 1283, 2977, 5919, 12929, 32073, 61851}},
+{4792, 16, 17836, {1, 1, 5, 15, 27, 27, 19, 157, 267, 651, 1319, 3841, 7739, 9947, 16801, 41325}},
+{4793, 16, 17841, {1, 3, 7, 9, 19, 7, 83, 95, 401, 293, 437, 1983, 119, 7553, 11097, 11925}},
+{4794, 16, 17856, {1, 1, 3, 5, 21, 1, 53, 201, 385, 843, 1801, 99, 2697, 9659, 28789, 31417}},
+{4795, 16, 17883, {1, 1, 5, 5, 29, 57, 103, 89, 77, 597, 1849, 3433, 4267, 11167, 3841, 44023}},
+{4796, 16, 17896, {1, 1, 7, 1, 21, 47, 113, 253, 249, 431, 1899, 2859, 7345, 5725, 14805, 19999}},
+{4797, 16, 17901, {1, 3, 3, 5, 1, 11, 77, 213, 359, 665, 1855, 2743, 2407, 14677, 17957, 63257}},
+{4798, 16, 17926, {1, 3, 7, 13, 23, 29, 127, 183, 275, 849, 1005, 3159, 3867, 13029, 7527, 13035}},
+{4799, 16, 17937, {1, 1, 1, 15, 29, 47, 81, 225, 77, 879, 1279, 1929, 1457, 2025, 32229, 2847}},
+{4800, 16, 17992, {1, 1, 1, 3, 29, 45, 37, 189, 217, 53, 281, 1785, 1929, 763, 5875, 34303}},
+{4801, 16, 17995, {1, 3, 1, 9, 21, 61, 21, 149, 215, 13, 1221, 5, 7153, 14089, 3119, 33115}},
+{4802, 16, 17998, {1, 3, 7, 11, 7, 57, 89, 185, 485, 649, 1765, 747, 2983, 6791, 25015, 13627}},
+{4803, 16, 18021, {1, 1, 1, 9, 11, 53, 77, 203, 425, 237, 487, 2317, 1047, 8277, 23405, 30445}},
+{4804, 16, 18039, {1, 1, 3, 5, 7, 29, 39, 195, 109, 381, 655, 931, 4469, 16215, 10627, 64171}},
+{4805, 16, 18067, {1, 3, 1, 3, 5, 9, 89, 131, 509, 275, 489, 3161, 3701, 11951, 6579, 42839}},
+{4806, 16, 18122, {1, 3, 7, 13, 15, 37, 65, 91, 305, 433, 1815, 169, 3117, 47, 30331, 34863}},
+{4807, 16, 18129, {1, 3, 3, 9, 21, 3, 21, 113, 25, 833, 1579, 4021, 3481, 55, 20833, 46277}},
+{4808, 16, 18130, {1, 1, 1, 5, 19, 37, 61, 229, 61, 363, 817, 1235, 6235, 7261, 29917, 43057}},
+{4809, 16, 18142, {1, 3, 1, 9, 7, 59, 119, 189, 341, 945, 633, 3683, 2589, 15453, 4989, 40055}},
+{4810, 16, 18148, {1, 1, 1, 5, 25, 63, 61, 73, 207, 205, 1011, 2857, 8137, 2121, 26731, 46011}},
+{4811, 16, 18163, {1, 3, 7, 11, 13, 59, 107, 57, 49, 555, 441, 1771, 4939, 12107, 8263, 16243}},
+{4812, 16, 18192, {1, 3, 5, 13, 15, 49, 89, 217, 83, 225, 2001, 2727, 4651, 619, 16473, 47525}},
+{4813, 16, 18211, {1, 3, 5, 9, 5, 63, 115, 91, 337, 757, 703, 559, 1683, 14875, 30769, 30331}},
+{4814, 16, 18228, {1, 3, 1, 15, 3, 3, 119, 79, 487, 519, 523, 1177, 7105, 12343, 24671, 31711}},
+{4815, 16, 18264, {1, 1, 7, 15, 25, 63, 87, 23, 59, 277, 849, 953, 4567, 11309, 26181, 749}},
+{4816, 16, 18347, {1, 3, 7, 15, 5, 33, 21, 127, 3, 239, 839, 997, 7253, 8183, 19779, 4185}},
+{4817, 16, 18372, {1, 1, 5, 15, 25, 37, 99, 51, 465, 137, 1339, 541, 4319, 9883, 17425, 30743}},
+{4818, 16, 18409, {1, 3, 3, 5, 13, 7, 3, 249, 365, 749, 527, 3675, 3005, 12905, 9621, 899}},
+{4819, 16, 18412, {1, 3, 3, 7, 29, 31, 69, 21, 365, 1021, 1329, 2623, 3549, 5491, 21293, 63771}},
+{4820, 16, 18418, {1, 1, 5, 9, 5, 35, 53, 247, 193, 17, 227, 381, 5233, 821, 3991, 4439}},
+{4821, 16, 18423, {1, 1, 7, 15, 5, 59, 27, 167, 489, 335, 1565, 2999, 1777, 5009, 519, 57967}},
+{4822, 16, 18433, {1, 1, 1, 11, 25, 47, 23, 155, 419, 863, 1905, 355, 1089, 5871, 10149, 53341}},
+{4823, 16, 18439, {1, 1, 7, 7, 29, 55, 127, 83, 33, 309, 2017, 1021, 5987, 1101, 13657, 60587}},
+{4824, 16, 18445, {1, 1, 1, 7, 3, 1, 9, 75, 257, 407, 659, 529, 2087, 14759, 14483, 36425}},
+{4825, 16, 18451, {1, 3, 7, 3, 11, 29, 113, 255, 301, 799, 1171, 3721, 135, 3467, 7109, 50339}},
+{4826, 16, 18467, {1, 1, 1, 7, 21, 25, 15, 31, 61, 491, 57, 189, 2033, 4363, 31295, 16313}},
+{4827, 16, 18502, {1, 1, 5, 1, 5, 17, 33, 77, 483, 469, 355, 2245, 4165, 459, 30411, 29507}},
+{4828, 16, 18514, {1, 1, 3, 13, 1, 27, 29, 85, 491, 787, 1157, 1299, 4743, 14795, 32587, 12807}},
+{4829, 16, 18547, {1, 3, 3, 1, 23, 45, 35, 129, 3, 55, 969, 2387, 3929, 10397, 19879, 2723}},
+{4830, 16, 18575, {1, 1, 1, 7, 19, 3, 9, 23, 497, 347, 2039, 913, 5925, 7965, 5789, 40949}},
+{4831, 16, 18593, {1, 1, 7, 1, 29, 61, 89, 3, 133, 647, 1585, 2661, 1875, 1859, 3937, 12707}},
+{4832, 16, 18613, {1, 3, 3, 7, 25, 11, 41, 149, 427, 463, 901, 2433, 2617, 13511, 3443, 39867}},
+{4833, 16, 18620, {1, 1, 1, 5, 27, 33, 103, 251, 201, 1023, 1979, 3745, 6365, 14945, 22153, 55535}},
+{4834, 16, 18637, {1, 3, 1, 15, 23, 25, 57, 215, 111, 181, 385, 1123, 3095, 7085, 31863, 37393}},
+{4835, 16, 18640, {1, 3, 5, 13, 17, 35, 27, 159, 255, 241, 413, 1823, 5329, 1825, 28489, 58763}},
+{4836, 16, 18712, {1, 3, 1, 15, 3, 33, 97, 27, 409, 889, 409, 2315, 4743, 14827, 3037, 57149}},
+{4837, 16, 18728, {1, 1, 3, 5, 19, 63, 93, 51, 233, 715, 1571, 1101, 2751, 14805, 25683, 13323}},
+{4838, 16, 18742, {1, 3, 7, 3, 21, 15, 117, 179, 263, 229, 199, 2597, 3999, 3037, 3801, 4775}},
+{4839, 16, 18748, {1, 3, 3, 15, 1, 15, 49, 91, 383, 21, 1955, 773, 1213, 5971, 19525, 8699}},
+{4840, 16, 18753, {1, 3, 1, 15, 29, 49, 11, 101, 261, 761, 709, 3811, 4055, 15675, 32305, 15173}},
+{4841, 16, 18756, {1, 1, 1, 3, 9, 41, 127, 23, 413, 461, 237, 1595, 2257, 2971, 31845, 61485}},
+{4842, 16, 18771, {1, 1, 1, 11, 23, 13, 63, 21, 23, 209, 1317, 1071, 3619, 7275, 9343, 21455}},
+{4843, 16, 18814, {1, 1, 5, 9, 31, 35, 41, 249, 477, 569, 1175, 1571, 4679, 10337, 3507, 23415}},
+{4844, 16, 18818, {1, 3, 5, 11, 29, 3, 117, 65, 301, 913, 1709, 1765, 1801, 15513, 31495, 38131}},
+{4845, 16, 18827, {1, 3, 5, 11, 27, 3, 71, 195, 81, 313, 505, 3941, 3797, 2031, 24151, 65085}},
+{4846, 16, 18835, {1, 1, 1, 5, 13, 17, 59, 151, 191, 489, 1267, 3207, 4495, 15145, 12789, 46313}},
+{4847, 16, 18842, {1, 3, 1, 7, 29, 9, 25, 31, 33, 527, 1939, 4089, 333, 757, 8895, 25331}},
+{4848, 16, 18854, {1, 1, 1, 1, 9, 27, 11, 205, 211, 141, 1171, 1881, 4029, 10587, 30103, 39661}},
+{4849, 16, 18858, {1, 1, 3, 3, 23, 3, 23, 175, 355, 753, 183, 1331, 6403, 3369, 29891, 11109}},
+{4850, 16, 18895, {1, 3, 7, 3, 17, 25, 95, 145, 135, 525, 1073, 1841, 3951, 2027, 23053, 19699}},
+{4851, 16, 18914, {1, 1, 5, 3, 11, 43, 117, 67, 299, 885, 1095, 2777, 8185, 14331, 29543, 655}},
+{4852, 16, 18925, {1, 3, 7, 7, 3, 59, 127, 147, 323, 713, 99, 1179, 6395, 1821, 12673, 35587}},
+{4853, 16, 18933, {1, 3, 5, 3, 7, 11, 33, 87, 99, 967, 1443, 1585, 6215, 15125, 30747, 21513}},
+{4854, 16, 18937, {1, 3, 7, 11, 23, 5, 91, 171, 229, 601, 833, 3157, 1691, 15081, 20607, 7643}},
+{4855, 16, 18944, {1, 1, 3, 1, 5, 1, 39, 59, 157, 7, 601, 2079, 3045, 3693, 26511, 13245}},
+{4856, 16, 18973, {1, 3, 5, 9, 9, 27, 83, 135, 185, 379, 2027, 1407, 7409, 7363, 26471, 35907}},
+{4857, 16, 19001, {1, 3, 7, 15, 29, 49, 1, 69, 383, 915, 183, 3809, 4511, 8751, 4715, 7033}},
+{4858, 16, 19012, {1, 3, 3, 3, 1, 17, 71, 233, 243, 933, 1165, 3089, 3565, 6521, 13203, 13065}},
+{4859, 16, 19016, {1, 1, 5, 9, 9, 55, 53, 129, 331, 943, 587, 2573, 2247, 15101, 4987, 62983}},
+{4860, 16, 19027, {1, 3, 1, 13, 11, 43, 45, 127, 129, 857, 669, 321, 3915, 4477, 26973, 19911}},
+{4861, 16, 19040, {1, 3, 1, 13, 15, 3, 83, 23, 13, 441, 953, 2373, 3539, 4895, 26327, 61961}},
+{4862, 16, 19074, {1, 1, 5, 13, 23, 11, 125, 83, 339, 901, 1809, 2691, 3789, 15007, 10569, 65399}},
+{4863, 16, 19085, {1, 3, 1, 1, 17, 27, 105, 199, 435, 245, 1227, 3029, 3911, 1021, 2931, 24957}},
+{4864, 16, 19093, {1, 3, 1, 11, 17, 5, 123, 39, 413, 627, 1149, 3925, 6635, 8959, 31387, 65047}},
+{4865, 16, 19100, {1, 3, 5, 1, 23, 41, 93, 217, 21, 115, 1311, 3901, 2559, 2925, 30755, 7575}},
+{4866, 16, 19107, {1, 1, 3, 9, 13, 11, 63, 171, 135, 983, 1679, 395, 7349, 5153, 26405, 40589}},
+{4867, 16, 19128, {1, 3, 7, 13, 27, 47, 53, 169, 85, 871, 1087, 619, 7399, 9719, 6349, 59211}},
+{4868, 16, 19141, {1, 3, 3, 15, 31, 45, 3, 33, 11, 879, 929, 1977, 1939, 1049, 16159, 41515}},
+{4869, 16, 19142, {1, 3, 5, 11, 9, 27, 13, 23, 127, 747, 1121, 2497, 8141, 8601, 12431, 3243}},
+{4870, 16, 19156, {1, 3, 7, 15, 23, 43, 23, 225, 283, 13, 1837, 2089, 6435, 10121, 22307, 58767}},
+{4871, 16, 19169, {1, 1, 5, 11, 17, 3, 41, 221, 143, 669, 261, 1367, 7813, 15265, 32751, 62007}},
+{4872, 16, 19176, {1, 1, 1, 1, 5, 45, 41, 161, 327, 185, 1403, 485, 2831, 10025, 12555, 47661}},
+{4873, 16, 19222, {1, 3, 7, 1, 31, 55, 87, 83, 439, 929, 653, 4095, 5443, 7361, 27801, 12979}},
+{4874, 16, 19226, {1, 3, 1, 7, 1, 57, 11, 145, 55, 269, 711, 1889, 8023, 7171, 3247, 35691}},
+{4875, 16, 19247, {1, 1, 1, 3, 15, 1, 15, 131, 479, 797, 815, 2343, 1603, 10775, 21341, 20825}},
+{4876, 16, 19259, {1, 3, 5, 9, 3, 27, 31, 117, 441, 177, 215, 3991, 3197, 8397, 19195, 3883}},
+{4877, 16, 19262, {1, 1, 5, 13, 1, 19, 13, 27, 157, 1001, 43, 251, 7997, 7495, 16515, 44287}},
+{4878, 16, 19291, {1, 1, 3, 5, 17, 57, 117, 53, 413, 905, 551, 149, 7531, 14885, 32493, 34961}},
+{4879, 16, 19309, {1, 3, 3, 7, 27, 1, 7, 13, 259, 21, 189, 451, 6171, 3603, 12053, 45619}},
+{4880, 16, 19324, {1, 1, 7, 11, 5, 41, 59, 119, 419, 93, 1399, 629, 1269, 3789, 17035, 61583}},
+{4881, 16, 19334, {1, 3, 5, 11, 1, 11, 59, 83, 473, 273, 839, 3111, 3081, 10159, 6143, 16297}},
+{4882, 16, 19338, {1, 1, 5, 15, 25, 15, 17, 63, 275, 927, 189, 89, 6595, 4399, 27201, 57205}},
+{4883, 16, 19343, {1, 1, 7, 3, 31, 17, 63, 203, 321, 655, 1751, 2985, 3291, 11567, 15135, 49747}},
+{4884, 16, 19376, {1, 3, 5, 13, 27, 25, 89, 39, 299, 833, 1269, 271, 6481, 3045, 7203, 20279}},
+{4885, 16, 19408, {1, 3, 1, 1, 29, 13, 13, 37, 33, 563, 1825, 3257, 3153, 963, 25801, 15861}},
+{4886, 16, 19413, {1, 3, 5, 11, 15, 7, 49, 117, 479, 221, 579, 2995, 1673, 14927, 2869, 35547}},
+{4887, 16, 19420, {1, 3, 1, 11, 31, 11, 77, 161, 183, 187, 1967, 3037, 4441, 10547, 1443, 8619}},
+{4888, 16, 19441, {1, 1, 3, 11, 27, 41, 83, 179, 293, 421, 1395, 1673, 6375, 9801, 14265, 18117}},
+{4889, 16, 19444, {1, 1, 3, 7, 9, 19, 55, 235, 499, 637, 1121, 3583, 8007, 3749, 20903, 6179}},
+{4890, 16, 19454, {1, 3, 7, 13, 9, 55, 125, 77, 395, 9, 2005, 2247, 1609, 6805, 13099, 26367}},
+{4891, 16, 19461, {1, 3, 5, 13, 9, 41, 49, 133, 443, 995, 209, 341, 8013, 11037, 29663, 21161}},
+{4892, 16, 19473, {1, 3, 1, 1, 1, 47, 45, 243, 161, 433, 129, 39, 4885, 8777, 6395, 16953}},
+{4893, 16, 19479, {1, 3, 3, 15, 11, 13, 41, 113, 279, 657, 763, 2411, 7115, 463, 10759, 50493}},
+{4894, 16, 19489, {1, 1, 5, 5, 31, 5, 25, 181, 385, 445, 625, 313, 4983, 11763, 6065, 63835}},
+{4895, 16, 19591, {1, 3, 3, 15, 13, 25, 103, 5, 205, 223, 1327, 73, 677, 6751, 2071, 24963}},
+{4896, 16, 19605, {1, 1, 7, 15, 21, 61, 21, 11, 47, 775, 113, 991, 1943, 1459, 18049, 45025}},
+{4897, 16, 19616, {1, 3, 3, 1, 11, 43, 27, 89, 49, 711, 173, 181, 1261, 2751, 21321, 5467}},
+{4898, 16, 19619, {1, 3, 3, 7, 17, 7, 57, 61, 87, 973, 985, 1849, 559, 7319, 11457, 46071}},
+{4899, 16, 19653, {1, 1, 1, 1, 9, 37, 99, 157, 423, 189, 1355, 3983, 6357, 10825, 26517, 45815}},
+{4900, 16, 19654, {1, 1, 3, 11, 23, 33, 57, 55, 59, 831, 339, 725, 359, 14859, 17523, 36149}},
+{4901, 16, 19681, {1, 1, 5, 5, 27, 29, 47, 147, 153, 801, 1737, 3617, 5447, 8011, 30631, 7921}},
+{4902, 16, 19711, {1, 1, 5, 1, 11, 43, 35, 105, 69, 453, 1023, 875, 6755, 6015, 12449, 50235}},
+{4903, 16, 19719, {1, 3, 1, 5, 29, 31, 43, 89, 369, 891, 1447, 353, 8103, 2555, 1197, 64005}},
+{4904, 16, 19726, {1, 3, 3, 9, 21, 33, 117, 205, 473, 289, 1699, 2361, 7083, 13001, 24127, 48611}},
+{4905, 16, 19738, {1, 3, 3, 15, 3, 23, 79, 139, 475, 511, 181, 1331, 6137, 2653, 14071, 16947}},
+{4906, 16, 19767, {1, 3, 3, 1, 11, 47, 51, 217, 305, 599, 1609, 237, 4537, 5377, 717, 13269}},
+{4907, 16, 19819, {1, 1, 7, 3, 19, 31, 1, 173, 509, 817, 785, 1223, 5585, 8911, 643, 44575}},
+{4908, 16, 19864, {1, 1, 3, 11, 5, 11, 31, 129, 269, 369, 1833, 2885, 441, 11517, 2323, 26735}},
+{4909, 16, 19867, {1, 1, 5, 9, 7, 51, 31, 21, 5, 157, 541, 2939, 4569, 1679, 17467, 27995}},
+{4910, 16, 19885, {1, 1, 7, 3, 21, 33, 85, 213, 41, 851, 1947, 3205, 5065, 6079, 30789, 63677}},
+{4911, 16, 19894, {1, 1, 5, 3, 9, 53, 3, 179, 157, 407, 537, 1193, 4645, 13791, 28153, 11349}},
+{4912, 16, 19900, {1, 1, 7, 13, 25, 61, 9, 151, 263, 143, 1583, 2859, 6617, 8861, 4163, 40695}},
+{4913, 16, 19903, {1, 1, 1, 1, 7, 25, 19, 207, 335, 1019, 1919, 3893, 831, 12421, 4667, 38967}},
+{4914, 16, 19941, {1, 3, 5, 3, 5, 51, 81, 9, 425, 333, 451, 2569, 2771, 12145, 26065, 14385}},
+{4915, 16, 19951, {1, 1, 3, 7, 3, 49, 17, 147, 327, 331, 1197, 7, 3703, 15247, 9723, 52819}},
+{4916, 16, 19959, {1, 3, 3, 7, 27, 21, 117, 229, 255, 603, 195, 1049, 6243, 13593, 14553, 8267}},
+{4917, 16, 19966, {1, 1, 5, 15, 9, 53, 1, 187, 79, 151, 321, 1883, 6105, 13879, 8201, 53213}},
+{4918, 16, 20009, {1, 1, 1, 7, 21, 27, 103, 147, 351, 901, 1927, 2145, 2685, 453, 15173, 7371}},
+{4919, 16, 20018, {1, 1, 3, 5, 21, 27, 125, 77, 395, 27, 827, 3617, 6033, 1511, 29461, 18907}},
+{4920, 16, 20020, {1, 3, 5, 3, 3, 27, 75, 129, 441, 831, 1213, 2499, 5829, 12181, 7991, 58167}},
+{4921, 16, 20038, {1, 1, 1, 9, 3, 33, 85, 135, 45, 405, 1731, 551, 1251, 7895, 3975, 41621}},
+{4922, 16, 20049, {1, 3, 5, 7, 19, 19, 25, 7, 477, 569, 1089, 2705, 6157, 10279, 14029, 36229}},
+{4923, 16, 20066, {1, 3, 7, 3, 5, 19, 99, 137, 67, 361, 2021, 2891, 1957, 14961, 22673, 45707}},
+{4924, 16, 20108, {1, 3, 7, 1, 21, 11, 81, 225, 151, 235, 1761, 3875, 7427, 11213, 27023, 17945}},
+{4925, 16, 20130, {1, 1, 7, 1, 3, 1, 3, 123, 39, 769, 1467, 1907, 7833, 2099, 19, 54653}},
+{4926, 16, 20132, {1, 1, 1, 3, 25, 35, 33, 111, 407, 497, 1527, 3999, 3083, 6221, 8319, 56959}},
+{4927, 16, 20167, {1, 1, 3, 15, 21, 49, 113, 11, 191, 801, 1835, 3413, 3379, 13129, 3655, 23885}},
+{4928, 16, 20219, {1, 3, 1, 5, 21, 57, 87, 133, 409, 325, 569, 2099, 8143, 315, 23287, 21905}},
+{4929, 16, 20227, {1, 1, 5, 5, 21, 43, 25, 169, 265, 123, 81, 2683, 6137, 7341, 16383, 26435}},
+{4930, 16, 20263, {1, 3, 1, 5, 23, 17, 125, 173, 3, 829, 693, 751, 8021, 3701, 32643, 35405}},
+{4931, 16, 20267, {1, 1, 3, 1, 31, 13, 1, 195, 435, 487, 961, 1681, 1233, 6001, 3113, 29515}},
+{4932, 16, 20272, {1, 1, 7, 5, 9, 41, 81, 137, 257, 337, 1837, 145, 4191, 6313, 9991, 25541}},
+{4933, 16, 20289, {1, 1, 5, 13, 29, 13, 1, 117, 501, 991, 571, 793, 1433, 6005, 19, 61135}},
+{4934, 16, 20296, {1, 1, 7, 1, 9, 43, 65, 69, 297, 331, 1777, 1843, 6477, 13943, 1301, 51001}},
+{4935, 16, 20307, {1, 1, 1, 3, 7, 35, 23, 211, 33, 649, 255, 1831, 635, 9965, 16679, 14531}},
+{4936, 16, 20316, {1, 1, 1, 13, 23, 57, 113, 247, 321, 401, 1761, 4001, 1823, 14457, 5251, 4965}},
+{4937, 16, 20323, {1, 1, 5, 5, 31, 5, 53, 103, 297, 575, 1577, 2217, 977, 14415, 16953, 14793}},
+{4938, 16, 20335, {1, 1, 5, 7, 9, 19, 25, 29, 121, 563, 1707, 901, 6167, 10799, 11897, 31187}},
+{4939, 16, 20344, {1, 1, 5, 9, 17, 39, 89, 29, 251, 259, 411, 819, 6037, 4601, 11481, 46141}},
+{4940, 16, 20354, {1, 1, 1, 15, 23, 9, 65, 95, 189, 93, 1485, 2417, 5183, 5513, 26623, 42637}},
+{4941, 16, 20360, {1, 1, 5, 5, 3, 3, 113, 161, 463, 225, 1089, 2023, 2341, 14931, 28097, 56365}},
+{4942, 16, 20368, {1, 1, 5, 9, 9, 3, 109, 141, 27, 473, 107, 4023, 3279, 7595, 13289, 35649}},
+{4943, 16, 20390, {1, 1, 5, 3, 9, 37, 73, 153, 487, 57, 2035, 3583, 239, 2183, 10903, 171}},
+{4944, 16, 20402, {1, 3, 3, 15, 23, 39, 87, 217, 451, 597, 1817, 2883, 145, 11341, 16015, 16765}},
+{4945, 16, 20413, {1, 1, 7, 5, 19, 61, 45, 37, 473, 883, 277, 2801, 13, 7021, 3851, 53223}},
+{4946, 16, 20425, {1, 3, 3, 9, 1, 35, 97, 237, 279, 541, 1911, 661, 7603, 8183, 22071, 37317}},
+{4947, 16, 20428, {1, 3, 3, 11, 11, 63, 101, 71, 227, 259, 1545, 2779, 3859, 4859, 18957, 31749}},
+{4948, 16, 20434, {1, 3, 3, 1, 27, 29, 91, 215, 381, 607, 1701, 1709, 247, 12403, 29943, 59533}},
+{4949, 16, 20443, {1, 1, 7, 1, 11, 23, 47, 141, 37, 881, 1443, 3921, 3281, 7417, 1549, 50653}},
+{4950, 16, 20488, {1, 1, 7, 11, 23, 61, 17, 39, 373, 871, 1107, 1875, 1419, 3981, 1333, 11485}},
+{4951, 16, 20502, {1, 1, 7, 11, 21, 51, 127, 145, 129, 425, 1263, 1989, 699, 7317, 24827, 15049}},
+{4952, 16, 20505, {1, 1, 1, 11, 9, 59, 59, 67, 329, 841, 905, 467, 1905, 895, 29711, 25585}},
+{4953, 16, 20535, {1, 1, 1, 15, 3, 39, 11, 205, 297, 383, 445, 2139, 2935, 2399, 22237, 20355}},
+{4954, 16, 20541, {1, 3, 7, 7, 17, 9, 17, 205, 369, 1019, 1703, 755, 5507, 14749, 16461, 14519}},
+{4955, 16, 20554, {1, 3, 7, 3, 5, 31, 97, 35, 43, 249, 773, 4033, 6085, 1241, 24743, 22415}},
+{4956, 16, 20577, {1, 3, 7, 3, 17, 11, 45, 203, 251, 669, 1463, 1897, 7913, 2315, 30307, 15431}},
+{4957, 16, 20583, {1, 1, 5, 5, 7, 53, 83, 13, 1, 841, 423, 1059, 3951, 14209, 11113, 13931}},
+{4958, 16, 20602, {1, 3, 3, 5, 5, 15, 11, 71, 237, 553, 829, 3653, 4991, 1003, 8353, 52173}},
+{4959, 16, 20611, {1, 3, 3, 9, 27, 39, 83, 137, 315, 883, 1155, 3541, 3815, 10633, 13277, 20269}},
+{4960, 16, 20614, {1, 3, 3, 15, 13, 55, 43, 19, 345, 351, 1117, 1747, 1949, 3195, 12241, 52441}},
+{4961, 16, 20626, {1, 1, 3, 5, 1, 11, 113, 117, 37, 103, 1681, 3269, 1659, 14779, 30479, 31123}},
+{4962, 16, 20628, {1, 3, 7, 13, 1, 63, 9, 63, 65, 737, 785, 1713, 8123, 10053, 29871, 17647}},
+{4963, 16, 20635, {1, 1, 3, 5, 17, 45, 71, 37, 283, 145, 1927, 75, 7355, 4681, 2777, 31465}},
+{4964, 16, 20642, {1, 1, 3, 7, 21, 19, 113, 89, 67, 751, 99, 421, 201, 6345, 9473, 39849}},
+{4965, 16, 20674, {1, 1, 5, 11, 31, 57, 75, 79, 393, 745, 1435, 3039, 1175, 983, 923, 42867}},
+{4966, 16, 20716, {1, 1, 5, 9, 31, 47, 31, 61, 85, 651, 1733, 3973, 1979, 7223, 13817, 30593}},
+{4967, 16, 20734, {1, 1, 1, 11, 31, 21, 23, 177, 401, 55, 537, 3775, 3241, 15157, 11849, 15629}},
+{4968, 16, 20765, {1, 1, 1, 13, 31, 53, 79, 57, 35, 617, 61, 89, 6917, 6045, 23879, 45485}},
+{4969, 16, 20801, {1, 3, 7, 7, 3, 43, 57, 243, 107, 321, 273, 2171, 2069, 6171, 29181, 8281}},
+{4970, 16, 20804, {1, 1, 1, 11, 3, 27, 51, 57, 81, 795, 1673, 2601, 7335, 16243, 863, 20663}},
+{4971, 16, 20808, {1, 1, 5, 9, 7, 19, 31, 87, 509, 899, 1133, 1609, 2163, 7595, 10523, 43181}},
+{4972, 16, 20831, {1, 1, 1, 7, 21, 53, 103, 43, 507, 317, 685, 1329, 7057, 7275, 2277, 28271}},
+{4973, 16, 20832, {1, 1, 7, 7, 3, 35, 81, 81, 261, 587, 1571, 2771, 4653, 6517, 25101, 56753}},
+{4974, 16, 20862, {1, 3, 1, 11, 17, 61, 29, 137, 7, 929, 393, 2513, 2423, 5457, 6285, 12525}},
+{4975, 16, 20877, {1, 3, 1, 9, 25, 63, 17, 45, 439, 591, 273, 877, 7741, 8381, 32277, 24635}},
+{4976, 16, 20880, {1, 3, 1, 5, 19, 11, 17, 175, 297, 77, 961, 3331, 5193, 14347, 12713, 32067}},
+{4977, 16, 20885, {1, 1, 5, 11, 3, 17, 13, 21, 219, 653, 1279, 1657, 7659, 14459, 27661, 38093}},
+{4978, 16, 20889, {1, 3, 7, 7, 29, 17, 67, 35, 451, 91, 919, 3163, 7459, 14971, 4317, 42503}},
+{4979, 16, 20905, {1, 3, 3, 15, 7, 61, 69, 211, 349, 97, 911, 503, 3903, 12327, 11049, 29387}},
+{4980, 16, 20914, {1, 1, 7, 3, 5, 7, 63, 237, 387, 931, 693, 1143, 6545, 8529, 25217, 53087}},
+{4981, 16, 20967, {1, 1, 5, 7, 1, 13, 21, 169, 259, 289, 437, 649, 4905, 15261, 29997, 34043}},
+{4982, 16, 21028, {1, 1, 1, 9, 25, 13, 19, 229, 29, 213, 1941, 1501, 3463, 15761, 15635, 39687}},
+{4983, 16, 21031, {1, 1, 5, 7, 13, 29, 101, 57, 483, 913, 1025, 2139, 4327, 7847, 12455, 41797}},
+{4984, 16, 21043, {1, 1, 3, 11, 17, 27, 97, 79, 411, 9, 1797, 3721, 5291, 859, 8889, 6151}},
+{4985, 16, 21052, {1, 1, 1, 5, 17, 61, 45, 187, 157, 301, 1017, 1507, 6031, 4271, 32593, 23739}},
+{4986, 16, 21058, {1, 1, 3, 11, 31, 39, 7, 169, 15, 799, 1585, 2055, 4683, 13247, 23743, 50399}},
+{4987, 16, 21087, {1, 1, 1, 9, 25, 37, 15, 39, 339, 383, 1153, 1211, 5745, 15249, 26021, 39871}},
+{4988, 16, 21088, {1, 1, 3, 13, 17, 51, 27, 137, 231, 877, 309, 3633, 2575, 12259, 2743, 14781}},
+{4989, 16, 21093, {1, 1, 5, 7, 5, 33, 95, 19, 37, 829, 1489, 3525, 3887, 8277, 21867, 3581}},
+{4990, 16, 21106, {1, 1, 1, 15, 11, 33, 99, 213, 365, 549, 1603, 777, 3787, 12209, 14999, 50607}},
+{4991, 16, 21108, {1, 3, 1, 9, 23, 25, 57, 147, 73, 285, 1229, 1763, 4579, 14771, 4003, 38197}},
+{4992, 16, 21118, {1, 1, 5, 1, 15, 55, 25, 209, 135, 895, 311, 139, 2445, 6903, 12129, 27907}},
+{4993, 16, 21122, {1, 1, 5, 7, 23, 29, 33, 135, 325, 517, 2021, 1721, 4235, 2363, 12905, 18811}},
+{4994, 16, 21131, {1, 1, 1, 9, 3, 19, 69, 29, 157, 787, 1969, 3711, 8179, 5691, 4059, 25541}},
+{4995, 16, 21139, {1, 1, 5, 15, 1, 61, 11, 195, 317, 13, 923, 2149, 4001, 12843, 27109, 30625}},
+{4996, 16, 21141, {1, 3, 1, 7, 3, 13, 45, 187, 445, 859, 53, 3227, 4381, 8273, 32699, 48719}},
+{4997, 16, 21146, {1, 1, 7, 7, 21, 19, 47, 101, 119, 311, 577, 3309, 4585, 12109, 15153, 22915}},
+{4998, 16, 21162, {1, 3, 5, 15, 21, 39, 15, 211, 349, 237, 1873, 3333, 7837, 12811, 14321, 20227}},
+{4999, 16, 21164, {1, 1, 5, 5, 19, 47, 15, 239, 23, 763, 537, 1477, 2231, 10885, 19487, 47385}},
+{5000, 16, 21184, {1, 1, 3, 1, 19, 37, 67, 85, 11, 817, 869, 2249, 4111, 12411, 10405, 20055}},
+{5001, 16, 21208, {1, 1, 3, 3, 1, 41, 85, 137, 91, 369, 1863, 759, 303, 15859, 8063, 12811}},
+{5002, 16, 21211, {1, 3, 1, 11, 23, 1, 11, 219, 201, 573, 1573, 619, 2959, 6485, 7483, 46099}},
+{5003, 16, 21213, {1, 3, 3, 9, 13, 9, 9, 255, 47, 375, 409, 1435, 1665, 14967, 3247, 18193}},
+{5004, 16, 21230, {1, 1, 1, 5, 9, 61, 121, 173, 51, 415, 1621, 3947, 1379, 847, 23187, 39259}},
+{5005, 16, 21270, {1, 1, 1, 7, 3, 19, 95, 59, 187, 453, 1533, 445, 2699, 4817, 25983, 50925}},
+{5006, 16, 21276, {1, 3, 5, 13, 25, 25, 33, 5, 497, 1, 535, 1653, 6541, 10939, 17721, 43829}},
+{5007, 16, 21285, {1, 3, 7, 11, 9, 59, 115, 127, 85, 505, 541, 3243, 5853, 12673, 25275, 39577}},
+{5008, 16, 21297, {1, 3, 7, 1, 17, 25, 83, 127, 225, 295, 1823, 2051, 847, 4249, 13763, 5723}},
+{5009, 16, 21304, {1, 1, 1, 5, 3, 63, 39, 131, 191, 983, 119, 3287, 3335, 7969, 31347, 39439}},
+{5010, 16, 21310, {1, 3, 7, 9, 19, 31, 19, 91, 35, 677, 1229, 1371, 6497, 3315, 15239, 54235}},
+{5011, 16, 21330, {1, 1, 1, 15, 3, 49, 113, 199, 135, 35, 709, 385, 7923, 3711, 18351, 12711}},
+{5012, 16, 21339, {1, 1, 3, 15, 31, 13, 41, 1, 183, 95, 1625, 1675, 7881, 6607, 4165, 27151}},
+{5013, 16, 21346, {1, 3, 3, 15, 21, 57, 81, 49, 5, 297, 131, 883, 1113, 2497, 32129, 39139}},
+{5014, 16, 21391, {1, 3, 5, 7, 29, 47, 101, 173, 299, 879, 143, 3341, 3929, 6797, 8753, 47963}},
+{5015, 16, 21427, {1, 3, 3, 13, 11, 39, 27, 187, 27, 763, 1515, 1903, 5897, 10061, 14595, 12713}},
+{5016, 16, 21451, {1, 3, 5, 11, 27, 35, 37, 213, 45, 867, 1591, 3083, 8123, 5045, 31703, 61487}},
+{5017, 16, 21465, {1, 1, 3, 5, 3, 31, 23, 89, 369, 371, 1165, 3673, 6821, 333, 10881, 4153}},
+{5018, 16, 21468, {1, 1, 7, 13, 1, 33, 49, 195, 223, 197, 1799, 2427, 6171, 493, 13503, 23619}},
+{5019, 16, 21471, {1, 1, 3, 9, 5, 59, 105, 215, 449, 527, 1661, 2643, 309, 11239, 11633, 63459}},
+{5020, 16, 21533, {1, 1, 3, 11, 13, 11, 15, 99, 409, 807, 1911, 883, 1323, 9037, 6401, 545}},
+{5021, 16, 21610, {1, 1, 5, 7, 7, 7, 1, 167, 353, 923, 1403, 3109, 4981, 3877, 25451, 4667}},
+{5022, 16, 21615, {1, 1, 5, 11, 11, 25, 121, 153, 111, 785, 1301, 1497, 6267, 14919, 24125, 52029}},
+{5023, 16, 21630, {1, 3, 3, 5, 29, 55, 63, 177, 305, 41, 111, 1065, 1127, 113, 2815, 12979}},
+{5024, 16, 21633, {1, 3, 5, 7, 23, 39, 17, 179, 267, 917, 511, 3923, 915, 14173, 10689, 50749}},
+{5025, 16, 21657, {1, 1, 5, 3, 9, 45, 15, 157, 495, 625, 407, 2769, 3267, 7593, 17957, 54597}},
+{5026, 16, 21658, {1, 3, 3, 11, 21, 13, 5, 207, 107, 965, 1803, 1541, 3487, 3483, 109, 26923}},
+{5027, 16, 21669, {1, 1, 5, 11, 25, 49, 99, 135, 109, 371, 1307, 1815, 1095, 2329, 27101, 52269}},
+{5028, 16, 21670, {1, 3, 5, 5, 13, 9, 109, 79, 151, 47, 311, 3873, 3645, 3773, 1083, 31599}},
+{5029, 16, 21673, {1, 3, 5, 15, 1, 9, 87, 21, 145, 583, 159, 2435, 587, 10123, 24803, 19993}},
+{5030, 16, 21701, {1, 3, 1, 1, 23, 11, 5, 45, 373, 1011, 1353, 277, 7051, 3845, 12391, 25313}},
+{5031, 16, 21719, {1, 1, 1, 9, 13, 13, 109, 251, 97, 483, 1723, 2555, 813, 9345, 11351, 44705}},
+{5032, 16, 21720, {1, 3, 5, 7, 21, 49, 63, 13, 119, 813, 1559, 983, 499, 15159, 24163, 59903}},
+{5033, 16, 21747, {1, 1, 3, 5, 27, 33, 27, 165, 207, 693, 1401, 1357, 7637, 337, 10163, 43273}},
+{5034, 16, 21819, {1, 1, 5, 13, 29, 7, 71, 187, 1, 655, 1829, 2645, 6969, 5435, 28415, 33199}},
+{5035, 16, 21839, {1, 1, 1, 13, 17, 21, 13, 141, 41, 267, 1165, 1893, 3455, 10737, 16693, 33065}},
+{5036, 16, 21854, {1, 1, 5, 1, 7, 27, 7, 67, 107, 11, 763, 2529, 3023, 15745, 17023, 51911}},
+{5037, 16, 21857, {1, 3, 3, 3, 7, 57, 123, 249, 309, 511, 1655, 1379, 725, 7325, 20261, 65039}},
+{5038, 16, 21864, {1, 1, 5, 11, 3, 27, 23, 27, 285, 771, 2017, 1727, 4847, 2665, 30655, 47625}},
+{5039, 16, 21882, {1, 3, 7, 7, 17, 3, 93, 133, 427, 1021, 1135, 341, 6711, 11713, 24157, 1561}},
+{5040, 16, 21900, {1, 1, 3, 7, 15, 55, 11, 247, 65, 115, 1967, 535, 841, 15131, 28381, 31337}},
+{5041, 16, 21903, {1, 3, 1, 7, 9, 45, 73, 151, 127, 125, 767, 2003, 6893, 3875, 451, 30275}},
+{5042, 16, 21928, {1, 1, 7, 3, 5, 55, 127, 123, 163, 763, 1165, 1637, 6267, 7215, 23403, 20961}},
+{5043, 16, 21931, {1, 1, 1, 13, 1, 21, 65, 141, 369, 413, 1675, 27, 7357, 6929, 18083, 829}},
+{5044, 16, 21946, {1, 3, 5, 13, 1, 17, 97, 107, 249, 931, 47, 3537, 2245, 9827, 13673, 23217}},
+{5045, 16, 21971, {1, 1, 1, 11, 13, 19, 43, 31, 51, 727, 1001, 927, 771, 11853, 5761, 60537}},
+{5046, 16, 21974, {1, 3, 1, 7, 23, 27, 115, 5, 201, 431, 1021, 585, 6069, 12511, 6129, 2105}},
+{5047, 16, 21978, {1, 1, 3, 11, 3, 25, 75, 129, 389, 131, 223, 2263, 5377, 5561, 15633, 39527}},
+{5048, 16, 21993, {1, 3, 3, 1, 27, 43, 101, 55, 319, 549, 1971, 2255, 353, 93, 25661, 59077}},
+{5049, 16, 21994, {1, 1, 5, 11, 29, 57, 27, 135, 341, 913, 1637, 1781, 457, 11293, 1013, 53863}},
+{5050, 16, 22030, {1, 1, 1, 11, 3, 51, 79, 251, 443, 651, 393, 3635, 7397, 5443, 4225, 991}},
+{5051, 16, 22035, {1, 3, 7, 13, 31, 9, 3, 109, 427, 735, 891, 2789, 2169, 6459, 355, 43177}},
+{5052, 16, 22063, {1, 3, 3, 3, 13, 7, 93, 195, 293, 37, 75, 2467, 933, 8017, 9925, 61397}},
+{5053, 16, 22068, {1, 1, 5, 7, 25, 15, 69, 199, 161, 769, 387, 1491, 4553, 4173, 25631, 37089}},
+{5054, 16, 22086, {1, 3, 1, 3, 7, 59, 53, 93, 103, 413, 531, 887, 6149, 2901, 22611, 27135}},
+{5055, 16, 22104, {1, 1, 1, 13, 31, 39, 71, 215, 385, 821, 1603, 3043, 4967, 10953, 11543, 64433}},
+{5056, 16, 22119, {1, 3, 1, 7, 7, 63, 5, 143, 1, 339, 1165, 3809, 4257, 12879, 21581, 21307}},
+{5057, 16, 22153, {1, 1, 1, 15, 1, 35, 67, 227, 277, 879, 513, 3423, 6153, 11573, 12809, 34335}},
+{5058, 16, 22168, {1, 3, 7, 9, 9, 39, 47, 17, 101, 179, 631, 1307, 481, 871, 16807, 39811}},
+{5059, 16, 22183, {1, 3, 1, 1, 13, 25, 53, 179, 285, 267, 407, 3781, 3267, 3545, 525, 15733}},
+{5060, 16, 22189, {1, 1, 1, 13, 11, 35, 45, 181, 319, 767, 283, 3021, 5405, 403, 3587, 7291}},
+{5061, 16, 22204, {1, 1, 7, 3, 5, 9, 67, 129, 101, 117, 267, 1925, 1209, 13095, 7123, 62941}},
+{5062, 16, 22230, {1, 1, 7, 3, 5, 63, 109, 199, 95, 421, 193, 3519, 6551, 955, 1679, 16627}},
+{5063, 16, 22240, {1, 1, 5, 13, 1, 47, 71, 157, 343, 653, 981, 1335, 3737, 7185, 28861, 22883}},
+{5064, 16, 22246, {1, 1, 3, 15, 7, 63, 7, 81, 481, 5, 1159, 1361, 4167, 2575, 7437, 16917}},
+{5065, 16, 22269, {1, 3, 7, 1, 27, 17, 61, 193, 317, 841, 1149, 955, 5161, 4275, 1955, 15665}},
+{5066, 16, 22282, {1, 1, 1, 7, 19, 63, 77, 57, 367, 237, 579, 3701, 5763, 4951, 24151, 45215}},
+{5067, 16, 22302, {1, 1, 5, 11, 29, 7, 119, 155, 431, 999, 757, 2433, 5811, 3709, 29573, 23639}},
+{5068, 16, 22330, {1, 3, 3, 3, 15, 35, 125, 13, 275, 507, 1719, 1537, 2349, 12909, 8107, 9845}},
+{5069, 16, 22347, {1, 3, 1, 13, 27, 27, 11, 69, 15, 1017, 207, 625, 809, 2921, 8939, 30293}},
+{5070, 16, 22349, {1, 1, 7, 11, 31, 51, 113, 193, 69, 845, 73, 919, 3523, 3987, 23665, 36527}},
+{5071, 16, 22383, {1, 3, 7, 11, 21, 31, 103, 29, 5, 81, 1081, 3847, 4697, 8857, 30769, 40053}},
+{5072, 16, 22386, {1, 1, 1, 1, 5, 11, 5, 169, 13, 899, 769, 3823, 5405, 5991, 3821, 27767}},
+{5073, 16, 22432, {1, 1, 3, 15, 1, 35, 9, 83, 23, 701, 1807, 1681, 4009, 127, 31751, 38059}},
+{5074, 16, 22450, {1, 3, 3, 7, 9, 61, 73, 111, 193, 607, 2001, 413, 3751, 16337, 16597, 23959}},
+{5075, 16, 22473, {1, 1, 7, 7, 21, 29, 53, 253, 187, 507, 1191, 3521, 463, 2167, 23785, 19867}},
+{5076, 16, 22487, {1, 3, 5, 3, 19, 43, 101, 93, 257, 61, 1589, 3883, 1975, 7283, 5253, 23257}},
+{5077, 16, 22527, {1, 3, 1, 9, 1, 63, 25, 101, 377, 571, 1701, 3385, 243, 12051, 32619, 10459}},
+{5078, 16, 22537, {1, 1, 1, 5, 17, 11, 37, 197, 205, 879, 625, 959, 7389, 7857, 20615, 20405}},
+{5079, 16, 22557, {1, 3, 5, 5, 27, 41, 9, 109, 197, 623, 1045, 63, 7977, 11355, 28613, 5131}},
+{5080, 16, 22561, {1, 1, 5, 11, 5, 29, 27, 85, 131, 247, 433, 3981, 2677, 15415, 869, 6045}},
+{5081, 16, 22568, {1, 3, 1, 13, 9, 49, 25, 79, 135, 719, 93, 631, 2149, 5929, 29833, 38673}},
+{5082, 16, 22573, {1, 3, 7, 11, 15, 13, 37, 233, 227, 205, 1579, 65, 1429, 13499, 26355, 63821}},
+{5083, 16, 22591, {1, 1, 5, 11, 21, 19, 7, 183, 409, 275, 899, 3665, 6207, 849, 24339, 1617}},
+{5084, 16, 22593, {1, 3, 1, 3, 21, 61, 23, 125, 463, 489, 1265, 2975, 3907, 11881, 7533, 43331}},
+{5085, 16, 22605, {1, 3, 1, 15, 15, 51, 83, 31, 175, 47, 1791, 3651, 6735, 5013, 723, 24141}},
+{5086, 16, 22620, {1, 3, 1, 9, 17, 41, 57, 43, 469, 911, 1251, 2105, 3133, 3437, 10097, 26687}},
+{5087, 16, 22627, {1, 1, 3, 3, 9, 9, 125, 201, 141, 943, 1509, 1239, 6575, 8707, 363, 23309}},
+{5088, 16, 22636, {1, 1, 5, 3, 19, 37, 43, 141, 413, 149, 1449, 1003, 4473, 12395, 4101, 61201}},
+{5089, 16, 22647, {1, 1, 5, 11, 17, 37, 41, 33, 57, 627, 325, 1895, 1773, 1339, 24859, 587}},
+{5090, 16, 22697, {1, 1, 1, 3, 5, 49, 127, 109, 361, 853, 1437, 3451, 4031, 5379, 27463, 47425}},
+{5091, 16, 22715, {1, 3, 5, 7, 9, 57, 71, 219, 347, 791, 797, 73, 6241, 12717, 24429, 40977}},
+{5092, 16, 22725, {1, 1, 5, 9, 27, 43, 43, 227, 433, 413, 1109, 2589, 4535, 8947, 8121, 43479}},
+{5093, 16, 22732, {1, 3, 7, 1, 9, 21, 81, 23, 157, 313, 197, 2845, 8059, 15957, 28657, 28093}},
+{5094, 16, 22749, {1, 3, 1, 11, 15, 17, 115, 27, 421, 743, 1885, 2089, 5011, 7137, 7395, 36853}},
+{5095, 16, 22766, {1, 1, 5, 15, 5, 53, 69, 255, 63, 29, 1011, 3201, 1467, 15441, 26255, 62895}},
+{5096, 16, 22768, {1, 3, 1, 11, 3, 47, 35, 195, 149, 849, 1317, 439, 3539, 845, 15295, 42183}},
+{5097, 16, 22771, {1, 1, 5, 15, 15, 37, 67, 105, 495, 985, 1777, 3137, 8039, 11795, 29771, 35045}},
+{5098, 16, 22788, {1, 1, 3, 1, 25, 17, 67, 227, 229, 419, 1319, 3325, 1293, 8585, 28425, 34013}},
+{5099, 16, 22797, {1, 1, 5, 1, 27, 51, 71, 197, 375, 407, 259, 4005, 3309, 5475, 13421, 60065}},
+{5100, 16, 22822, {1, 3, 1, 5, 11, 17, 89, 45, 311, 425, 1629, 773, 7267, 8699, 27547, 37081}},
+{5101, 16, 22828, {1, 3, 1, 7, 9, 25, 101, 105, 489, 217, 103, 1959, 4049, 5793, 31201, 11947}},
+{5102, 16, 22851, {1, 1, 5, 5, 19, 3, 63, 55, 431, 49, 273, 3253, 5357, 13801, 9735, 21883}},
+{5103, 16, 22888, {1, 1, 1, 11, 13, 3, 75, 201, 477, 201, 1875, 657, 6217, 8651, 2207, 16421}},
+{5104, 16, 22893, {1, 1, 5, 13, 5, 31, 75, 113, 25, 171, 1147, 3089, 7095, 4405, 26155, 42323}},
+{5105, 16, 22901, {1, 3, 5, 5, 5, 49, 99, 171, 445, 1023, 1793, 3159, 5809, 12509, 31723, 60411}},
+{5106, 16, 22902, {1, 3, 7, 3, 23, 51, 111, 27, 103, 159, 433, 293, 1741, 3599, 4067, 40667}},
+{5107, 16, 22921, {1, 3, 3, 13, 11, 9, 11, 21, 453, 35, 1649, 1261, 3539, 14081, 5581, 57105}},
+{5108, 16, 22929, {1, 3, 3, 13, 7, 9, 113, 87, 391, 647, 223, 1345, 4481, 9855, 20129, 10807}},
+{5109, 16, 22946, {1, 3, 7, 15, 3, 61, 15, 117, 97, 495, 985, 819, 181, 1363, 13111, 35857}},
+{5110, 16, 22948, {1, 3, 1, 9, 3, 27, 125, 151, 217, 961, 707, 2647, 5307, 621, 12581, 13941}},
+{5111, 16, 22951, {1, 3, 1, 11, 17, 37, 35, 211, 179, 29, 627, 3623, 6429, 16237, 24699, 14385}},
+{5112, 16, 22958, {1, 3, 3, 9, 3, 57, 35, 3, 85, 1017, 1739, 2241, 7297, 15637, 27085, 41237}},
+{5113, 16, 22975, {1, 1, 3, 7, 7, 13, 5, 85, 505, 51, 409, 867, 677, 12451, 13633, 47883}},
+{5114, 16, 22983, {1, 3, 5, 13, 5, 51, 37, 79, 237, 133, 1331, 3263, 349, 4971, 16067, 62485}},
+{5115, 16, 22990, {1, 1, 7, 11, 29, 41, 101, 219, 391, 1023, 1681, 3163, 4071, 14665, 11041, 14523}},
+{5116, 16, 23032, {1, 1, 3, 3, 13, 55, 37, 119, 471, 665, 1315, 3071, 5993, 12005, 13549, 63425}},
+{5117, 16, 23047, {1, 3, 5, 7, 5, 25, 59, 71, 77, 841, 91, 1841, 6997, 1139, 11843, 52209}},
+{5118, 16, 23053, {1, 3, 7, 15, 17, 25, 85, 173, 373, 459, 1713, 1055, 5337, 9921, 15213, 44235}},
+{5119, 16, 23054, {1, 1, 1, 15, 7, 11, 89, 237, 131, 565, 745, 457, 4447, 5581, 11053, 43819}},
+{5120, 16, 23082, {1, 3, 5, 1, 29, 21, 11, 7, 125, 851, 2023, 3321, 1885, 67, 8809, 43291}},
+{5121, 16, 23095, {1, 3, 5, 11, 11, 43, 41, 97, 353, 813, 85, 2453, 769, 11709, 4697, 2849}},
+{5122, 16, 23116, {1, 1, 5, 5, 21, 29, 87, 179, 157, 981, 129, 2139, 6841, 5479, 27111, 20749}},
+{5123, 16, 23197, {1, 1, 3, 9, 31, 59, 61, 15, 423, 33, 467, 1817, 6535, 7341, 31061, 20937}},
+{5124, 16, 23221, {1, 1, 7, 3, 1, 21, 127, 135, 321, 699, 727, 3079, 753, 3971, 5611, 28345}},
+{5125, 16, 23257, {1, 3, 7, 11, 27, 3, 39, 63, 389, 433, 43, 1443, 6241, 10769, 20485, 58823}},
+{5126, 16, 23260, {1, 1, 1, 11, 3, 13, 5, 57, 503, 707, 677, 3355, 6691, 8841, 20041, 11867}},
+{5127, 16, 23263, {1, 1, 3, 11, 31, 39, 107, 221, 81, 125, 1439, 2429, 2109, 3931, 31007, 10915}},
+{5128, 16, 23267, {1, 3, 3, 9, 17, 53, 13, 121, 127, 15, 1825, 1909, 5951, 13503, 31565, 56163}},
+{5129, 16, 23282, {1, 1, 1, 1, 19, 55, 3, 153, 385, 277, 1297, 3655, 6027, 3057, 11341, 46989}},
+{5130, 16, 23284, {1, 1, 5, 9, 3, 55, 37, 223, 353, 141, 1917, 3827, 2255, 7617, 10971, 10641}},
+{5131, 16, 23314, {1, 3, 7, 9, 29, 41, 71, 19, 137, 243, 2047, 395, 6981, 15887, 9479, 60199}},
+{5132, 16, 23326, {1, 1, 1, 9, 17, 43, 51, 191, 405, 727, 485, 987, 1855, 15801, 22529, 10165}},
+{5133, 16, 23335, {1, 3, 1, 7, 27, 31, 69, 255, 153, 793, 1353, 1981, 83, 11387, 6747, 23379}},
+{5134, 16, 23368, {1, 1, 5, 5, 31, 49, 83, 157, 63, 647, 1367, 3995, 5899, 8429, 18317, 3471}},
+{5135, 16, 23373, {1, 3, 5, 13, 19, 15, 99, 13, 143, 887, 529, 2855, 573, 9799, 13585, 59263}},
+{5136, 16, 23401, {1, 3, 5, 3, 13, 47, 103, 87, 11, 381, 397, 899, 71, 15539, 13005, 38297}},
+{5137, 16, 23415, {1, 1, 1, 3, 1, 53, 45, 141, 1, 941, 261, 3291, 5177, 9843, 6309, 62799}},
+{5138, 16, 23432, {1, 1, 5, 9, 29, 31, 107, 57, 135, 229, 1147, 247, 265, 12757, 21365, 7219}},
+{5139, 16, 23476, {1, 1, 1, 3, 1, 49, 55, 247, 495, 449, 141, 1349, 7393, 2589, 23587, 1097}},
+{5140, 16, 23479, {1, 3, 5, 1, 9, 11, 73, 153, 89, 575, 1805, 137, 435, 3687, 32169, 24275}},
+{5141, 16, 23497, {1, 1, 7, 15, 25, 61, 51, 21, 109, 139, 611, 3907, 6721, 5081, 6665, 51463}},
+{5142, 16, 23505, {1, 1, 1, 9, 13, 23, 59, 203, 33, 1013, 1533, 291, 6171, 15463, 8581, 9497}},
+{5143, 16, 23508, {1, 3, 3, 9, 7, 25, 51, 189, 49, 265, 1163, 1141, 2467, 7839, 7083, 65527}},
+{5144, 16, 23531, {1, 1, 3, 9, 19, 33, 77, 9, 181, 919, 623, 1521, 7853, 2199, 24115, 60607}},
+{5145, 16, 23536, {1, 1, 3, 11, 9, 11, 27, 57, 355, 313, 151, 3391, 4869, 12541, 30031, 29455}},
+{5146, 16, 23542, {1, 3, 5, 9, 17, 13, 91, 123, 235, 841, 1113, 1451, 501, 3863, 32483, 9445}},
+{5147, 16, 23565, {1, 3, 7, 3, 13, 25, 87, 243, 449, 293, 1279, 3571, 2693, 13459, 5895, 38127}},
+{5148, 16, 23573, {1, 1, 3, 15, 27, 61, 7, 57, 255, 971, 131, 2585, 2187, 7191, 17779, 34587}},
+{5149, 16, 23590, {1, 3, 3, 7, 23, 29, 55, 41, 463, 873, 1781, 2851, 4731, 9819, 25587, 32199}},
+{5150, 16, 23593, {1, 1, 1, 9, 29, 39, 25, 143, 171, 141, 223, 467, 4417, 9575, 23159, 33819}},
+{5151, 16, 23604, {1, 1, 5, 13, 19, 61, 19, 75, 25, 361, 585, 1627, 2231, 1831, 24885, 37917}},
+{5152, 16, 23621, {1, 3, 7, 7, 23, 19, 59, 55, 323, 55, 143, 131, 27, 15363, 26423, 43963}},
+{5153, 16, 23622, {1, 1, 5, 5, 25, 9, 33, 17, 427, 481, 315, 3999, 4757, 4545, 7695, 56733}},
+{5154, 16, 23636, {1, 3, 5, 13, 5, 59, 45, 117, 115, 263, 1441, 3307, 1085, 3875, 25869, 19725}},
+{5155, 16, 23662, {1, 3, 3, 15, 13, 39, 31, 243, 293, 345, 343, 1911, 6123, 12577, 32081, 59993}},
+{5156, 16, 23667, {1, 3, 5, 13, 17, 37, 105, 201, 205, 929, 435, 1467, 8063, 6963, 13709, 53275}},
+{5157, 16, 23703, {1, 3, 7, 15, 31, 3, 65, 221, 191, 413, 427, 2579, 377, 2793, 26943, 61299}},
+{5158, 16, 23725, {1, 3, 5, 3, 11, 61, 75, 107, 53, 689, 1845, 859, 333, 889, 27607, 48795}},
+{5159, 16, 23734, {1, 1, 5, 7, 1, 11, 37, 181, 323, 187, 1511, 25, 5517, 11957, 7093, 429}},
+{5160, 16, 23738, {1, 3, 3, 1, 25, 31, 125, 139, 433, 583, 683, 587, 5389, 1225, 26047, 18717}},
+{5161, 16, 23752, {1, 3, 1, 15, 23, 33, 23, 147, 279, 513, 157, 4023, 2669, 7543, 2111, 9191}},
+{5162, 16, 23800, {1, 3, 1, 1, 5, 39, 55, 127, 257, 649, 347, 3001, 2215, 15579, 29665, 10337}},
+{5163, 16, 23803, {1, 1, 1, 15, 19, 55, 105, 183, 505, 1003, 1311, 2253, 1861, 3561, 19581, 46183}},
+{5164, 16, 23818, {1, 3, 1, 9, 23, 5, 127, 215, 195, 817, 719, 1285, 919, 8627, 20427, 2723}},
+{5165, 16, 23832, {1, 1, 1, 5, 15, 31, 43, 131, 377, 57, 1531, 915, 2871, 1805, 19765, 60529}},
+{5166, 16, 23842, {1, 3, 3, 3, 15, 1, 93, 55, 477, 221, 643, 1319, 959, 475, 14015, 48823}},
+{5167, 16, 23851, {1, 3, 3, 7, 19, 13, 13, 191, 421, 751, 1103, 2129, 1973, 14935, 26485, 41269}},
+{5168, 16, 23873, {1, 1, 5, 13, 17, 43, 81, 83, 67, 643, 1799, 1157, 4365, 2815, 29871, 5351}},
+{5169, 16, 23883, {1, 3, 1, 9, 21, 31, 87, 177, 25, 403, 1357, 4047, 959, 5133, 7307, 4333}},
+{5170, 16, 23888, {1, 1, 7, 7, 29, 39, 27, 139, 159, 529, 1323, 3823, 4569, 12711, 30263, 10961}},
+{5171, 16, 23910, {1, 3, 1, 13, 27, 15, 59, 1, 107, 723, 497, 43, 143, 16119, 29177, 5653}},
+{5172, 16, 23934, {1, 1, 5, 9, 15, 41, 23, 109, 101, 639, 277, 1687, 1311, 1995, 5403, 6867}},
+{5173, 16, 23938, {1, 1, 5, 3, 13, 1, 95, 177, 379, 545, 789, 3479, 4135, 445, 5869, 38923}},
+{5174, 16, 23949, {1, 1, 3, 9, 21, 31, 23, 65, 209, 383, 271, 367, 6605, 1169, 27267, 9331}},
+{5175, 16, 23955, {1, 1, 1, 1, 27, 39, 121, 29, 155, 465, 947, 2675, 6753, 11647, 29781, 30251}},
+{5176, 16, 23967, {1, 3, 1, 5, 7, 45, 7, 21, 223, 363, 1021, 751, 2257, 14423, 19629, 64867}},
+{5177, 16, 23973, {1, 3, 1, 9, 31, 53, 13, 99, 49, 389, 867, 327, 4145, 3265, 15423, 14985}},
+{5178, 16, 23991, {1, 1, 1, 15, 11, 11, 27, 41, 333, 161, 1343, 2023, 3789, 13563, 16957, 26849}},
+{5179, 16, 24024, {1, 3, 7, 1, 7, 51, 7, 163, 239, 393, 231, 3985, 309, 875, 837, 24791}},
+{5180, 16, 24030, {1, 1, 1, 7, 1, 43, 105, 7, 351, 755, 1781, 1925, 4961, 2961, 13427, 44317}},
+{5181, 16, 24039, {1, 3, 1, 9, 17, 39, 81, 75, 201, 931, 1547, 1857, 7251, 11687, 14437, 12603}},
+{5182, 16, 24067, {1, 3, 3, 15, 15, 23, 95, 7, 193, 9, 1749, 809, 5083, 14645, 24893, 35979}},
+{5183, 16, 24069, {1, 1, 7, 1, 9, 9, 127, 149, 433, 985, 1347, 3379, 2881, 681, 20777, 30703}},
+{5184, 16, 24084, {1, 3, 1, 11, 1, 27, 121, 111, 251, 45, 1341, 1709, 3733, 11297, 29063, 57119}},
+{5185, 16, 24112, {1, 3, 3, 1, 19, 3, 77, 127, 187, 831, 1125, 3119, 4665, 9857, 5301, 36755}},
+{5186, 16, 24115, {1, 3, 3, 3, 29, 29, 61, 225, 257, 635, 665, 1279, 3019, 2401, 8253, 40251}},
+{5187, 16, 24184, {1, 1, 7, 9, 29, 43, 47, 95, 221, 823, 257, 1485, 5183, 225, 27675, 60479}},
+{5188, 16, 24187, {1, 1, 5, 3, 15, 49, 25, 69, 101, 393, 901, 305, 4917, 13479, 30209, 9199}},
+{5189, 16, 24262, {1, 1, 3, 15, 1, 9, 47, 243, 403, 341, 143, 1365, 1817, 6017, 3853, 58625}},
+{5190, 16, 24276, {1, 3, 3, 11, 9, 49, 93, 149, 39, 177, 1863, 1027, 659, 9253, 2131, 26943}},
+{5191, 16, 24279, {1, 3, 1, 3, 25, 1, 43, 255, 217, 353, 957, 39, 4607, 15761, 24291, 33619}},
+{5192, 16, 24313, {1, 1, 1, 7, 29, 51, 71, 237, 1, 703, 19, 213, 6429, 11783, 22049, 30597}},
+{5193, 16, 24331, {1, 3, 1, 7, 31, 63, 105, 203, 473, 731, 257, 91, 5749, 4099, 30125, 40171}},
+{5194, 16, 24336, {1, 3, 7, 9, 7, 29, 119, 181, 225, 743, 1031, 55, 3997, 16221, 11663, 14847}},
+{5195, 16, 24348, {1, 3, 3, 11, 5, 21, 43, 17, 473, 981, 125, 2077, 6141, 4757, 7585, 29207}},
+{5196, 16, 24367, {1, 1, 7, 1, 27, 61, 27, 45, 267, 483, 119, 767, 957, 3411, 2653, 53967}},
+{5197, 16, 24372, {1, 1, 1, 3, 9, 41, 43, 17, 485, 253, 825, 3605, 5919, 9285, 1815, 6095}},
+{5198, 16, 24402, {1, 1, 1, 11, 7, 5, 53, 107, 309, 609, 1389, 2035, 861, 15565, 9375, 42363}},
+{5199, 16, 24420, {1, 3, 5, 3, 27, 57, 7, 177, 183, 227, 865, 183, 2903, 6325, 4393, 5257}},
+{5200, 16, 24444, {1, 3, 1, 5, 21, 29, 79, 107, 365, 427, 813, 3563, 7713, 3865, 4289, 28555}},
+{5201, 16, 24465, {1, 3, 5, 7, 11, 27, 1, 197, 425, 769, 1737, 3627, 1273, 4469, 11967, 823}},
+{5202, 16, 24466, {1, 1, 1, 13, 3, 31, 127, 159, 471, 367, 2047, 949, 1591, 12429, 21497, 27153}},
+{5203, 16, 24471, {1, 3, 1, 3, 3, 31, 31, 87, 243, 413, 1777, 1361, 4575, 1147, 17451, 33985}},
+{5204, 16, 24475, {1, 3, 3, 5, 13, 47, 45, 3, 165, 329, 743, 397, 2479, 4999, 12921, 26689}},
+{5205, 16, 24481, {1, 1, 5, 7, 17, 59, 25, 117, 217, 601, 235, 2691, 5569, 7853, 31063, 28281}},
+{5206, 16, 24488, {1, 3, 1, 11, 11, 39, 71, 77, 481, 39, 363, 1921, 3263, 12849, 13325, 41803}},
+{5207, 16, 24501, {1, 3, 7, 5, 19, 1, 59, 197, 239, 787, 1657, 1449, 4245, 1317, 19609, 53583}},
+{5208, 16, 24514, {1, 1, 7, 1, 13, 33, 81, 53, 223, 323, 477, 2421, 4045, 1855, 5823, 9661}},
+{5209, 16, 24531, {1, 3, 1, 7, 1, 3, 121, 19, 329, 569, 481, 3443, 499, 12407, 19625, 4627}},
+{5210, 16, 24534, {1, 1, 1, 7, 3, 33, 91, 241, 69, 581, 1635, 1025, 4677, 14651, 5229, 19555}},
+{5211, 16, 24559, {1, 3, 1, 15, 9, 11, 99, 47, 489, 755, 601, 1221, 4251, 4377, 20567, 33839}},
+{5212, 16, 24602, {1, 3, 3, 5, 21, 21, 127, 151, 499, 971, 1627, 609, 2365, 3183, 7413, 697}},
+{5213, 16, 24614, {1, 3, 7, 13, 5, 35, 61, 121, 51, 297, 29, 1825, 495, 1299, 12741, 3253}},
+{5214, 16, 24637, {1, 1, 1, 1, 13, 15, 49, 205, 235, 9, 849, 1101, 4533, 10221, 32419, 50151}},
+{5215, 16, 24664, {1, 1, 3, 13, 29, 31, 57, 77, 217, 195, 1951, 189, 981, 6169, 22677, 64415}},
+{5216, 16, 24676, {1, 3, 1, 5, 15, 37, 25, 233, 43, 843, 1205, 153, 6339, 3767, 16725, 32699}},
+{5217, 16, 24679, {1, 3, 3, 1, 19, 37, 11, 217, 461, 897, 1181, 2815, 295, 15153, 25351, 57211}},
+{5218, 16, 24697, {1, 3, 5, 11, 15, 9, 5, 179, 353, 769, 1457, 2919, 1201, 14871, 29549, 52265}},
+{5219, 16, 24709, {1, 1, 3, 3, 5, 51, 127, 221, 329, 543, 1537, 2701, 2709, 9311, 2715, 42669}},
+{5220, 16, 24714, {1, 3, 5, 15, 5, 41, 79, 233, 445, 265, 2001, 935, 3133, 3977, 3601, 21389}},
+{5221, 16, 24716, {1, 3, 5, 11, 3, 7, 115, 45, 311, 827, 1897, 3399, 4251, 5341, 22621, 25519}},
+{5222, 16, 24731, {1, 3, 7, 1, 11, 57, 117, 103, 401, 505, 1683, 2161, 4363, 11189, 20263, 13065}},
+{5223, 16, 24744, {1, 1, 1, 7, 23, 29, 31, 77, 63, 179, 195, 2747, 579, 11701, 5101, 11497}},
+{5224, 16, 24762, {1, 3, 7, 3, 9, 33, 81, 165, 433, 545, 1893, 3709, 3813, 6615, 1485, 6395}},
+{5225, 16, 24764, {1, 3, 1, 15, 9, 5, 27, 157, 389, 683, 1919, 509, 455, 3865, 2303, 6993}},
+{5226, 16, 24769, {1, 3, 3, 9, 5, 5, 3, 5, 299, 59, 539, 1199, 2443, 10821, 3359, 44345}},
+{5227, 16, 24806, {1, 3, 5, 9, 21, 37, 87, 35, 501, 943, 1313, 3929, 351, 9851, 22971, 35659}},
+{5228, 16, 24812, {1, 3, 7, 11, 11, 33, 77, 175, 411, 315, 1797, 2731, 4611, 1809, 22027, 50595}},
+{5229, 16, 24872, {1, 3, 7, 13, 15, 11, 13, 189, 209, 1015, 1869, 1593, 6887, 8571, 7217, 2641}},
+{5230, 16, 24878, {1, 1, 3, 13, 29, 15, 119, 127, 329, 275, 865, 1693, 225, 15735, 11071, 37127}},
+{5231, 16, 24883, {1, 3, 7, 13, 9, 31, 85, 25, 281, 401, 1923, 2391, 3875, 2079, 2055, 53275}},
+{5232, 16, 24909, {1, 3, 1, 5, 23, 57, 79, 127, 209, 901, 315, 1165, 3393, 15095, 1981, 34993}},
+{5233, 16, 24943, {1, 3, 7, 7, 25, 13, 15, 223, 157, 335, 1061, 395, 6895, 6283, 18375, 4887}},
+{5234, 16, 24946, {1, 3, 7, 13, 9, 15, 99, 201, 105, 643, 117, 3027, 641, 13353, 4343, 11875}},
+{5235, 16, 24964, {1, 1, 3, 11, 5, 51, 5, 77, 281, 207, 1201, 1187, 8107, 6625, 7517, 34377}},
+{5236, 16, 24992, {1, 1, 1, 5, 29, 61, 3, 181, 297, 151, 565, 2713, 6611, 8665, 32425, 50399}},
+{5237, 16, 25016, {1, 3, 1, 5, 1, 61, 41, 245, 95, 647, 49, 2195, 5927, 15531, 28547, 51075}},
+{5238, 16, 25022, {1, 3, 3, 15, 15, 63, 123, 63, 77, 813, 423, 715, 91, 3793, 20901, 54927}},
+{5239, 16, 25024, {1, 3, 7, 9, 15, 35, 31, 161, 127, 13, 1667, 1225, 5279, 15487, 18769, 24887}},
+{5240, 16, 25039, {1, 1, 3, 5, 27, 25, 61, 21, 447, 175, 1419, 2691, 1993, 13059, 30809, 38325}},
+{5241, 16, 25051, {1, 3, 1, 3, 15, 21, 15, 193, 233, 435, 1993, 4003, 4581, 13837, 16535, 43781}},
+{5242, 16, 25060, {1, 1, 1, 5, 1, 11, 21, 253, 59, 59, 497, 77, 2165, 8197, 5933, 25743}},
+{5243, 16, 25072, {1, 1, 3, 9, 25, 61, 29, 217, 95, 269, 799, 409, 801, 421, 19065, 53443}},
+{5244, 16, 25097, {1, 1, 7, 1, 1, 41, 71, 59, 191, 867, 223, 1467, 6679, 16031, 4451, 15313}},
+{5245, 16, 25122, {1, 1, 1, 11, 13, 27, 7, 241, 167, 969, 1267, 2953, 3769, 2415, 30065, 39483}},
+{5246, 16, 25148, {1, 1, 1, 3, 25, 61, 103, 23, 53, 799, 989, 3859, 7299, 13613, 12007, 37535}},
+{5247, 16, 25194, {1, 1, 7, 1, 29, 19, 121, 57, 355, 663, 643, 3723, 1775, 10363, 1389, 16039}},
+{5248, 16, 25201, {1, 3, 7, 3, 21, 55, 51, 67, 363, 843, 1187, 1983, 7757, 5413, 26575, 53329}},
+{5249, 16, 25204, {1, 3, 1, 3, 31, 55, 73, 55, 75, 533, 197, 1463, 2933, 6033, 24397, 41579}},
+{5250, 16, 25238, {1, 3, 1, 11, 9, 15, 107, 141, 473, 825, 901, 937, 7433, 13119, 20047, 6695}},
+{5251, 16, 25241, {1, 3, 5, 7, 19, 27, 3, 149, 507, 137, 1025, 1841, 33, 3113, 15101, 28187}},
+{5252, 16, 25248, {1, 3, 5, 7, 31, 27, 53, 45, 177, 129, 1241, 1525, 991, 4141, 17681, 39435}},
+{5253, 16, 25257, {1, 1, 1, 15, 31, 57, 29, 137, 395, 563, 101, 3367, 1277, 5431, 1169, 44321}},
+{5254, 16, 25275, {1, 3, 5, 7, 21, 15, 123, 181, 113, 313, 1763, 1429, 2985, 715, 26129, 549}},
+{5255, 16, 25278, {1, 3, 3, 1, 15, 27, 27, 139, 507, 79, 1999, 2505, 485, 7011, 13369, 7159}},
+{5256, 16, 25304, {1, 3, 3, 11, 27, 53, 109, 179, 399, 657, 697, 421, 5467, 4273, 7837, 11631}},
+{5257, 16, 25307, {1, 1, 1, 15, 1, 57, 91, 199, 443, 569, 1945, 2531, 6349, 4851, 3931, 20537}},
+{5258, 16, 25320, {1, 1, 3, 13, 3, 3, 107, 237, 261, 377, 135, 2809, 7239, 1613, 24035, 26053}},
+{5259, 16, 25334, {1, 3, 3, 5, 3, 59, 65, 197, 411, 363, 1729, 967, 3963, 4535, 111, 7273}},
+{5260, 16, 25348, {1, 1, 7, 3, 13, 39, 105, 235, 203, 1015, 1031, 3127, 1209, 10817, 22177, 44117}},
+{5261, 16, 25357, {1, 3, 3, 13, 19, 21, 123, 31, 59, 185, 1007, 1115, 1965, 13087, 18489, 34063}},
+{5262, 16, 25372, {1, 1, 7, 5, 27, 7, 33, 159, 245, 57, 2003, 3229, 2095, 4939, 31355, 23121}},
+{5263, 16, 25394, {1, 3, 3, 9, 9, 41, 49, 203, 397, 915, 821, 3685, 2269, 11159, 25441, 46377}},
+{5264, 16, 25454, {1, 3, 7, 5, 29, 33, 29, 227, 361, 961, 1905, 1149, 2799, 8115, 28235, 25685}},
+{5265, 16, 25465, {1, 3, 1, 1, 19, 13, 73, 103, 11, 183, 853, 2425, 3809, 2391, 18615, 32735}},
+{5266, 16, 25472, {1, 1, 3, 3, 21, 57, 47, 57, 157, 43, 1085, 3319, 461, 11499, 6809, 10435}},
+{5267, 16, 25492, {1, 1, 5, 5, 17, 21, 55, 17, 421, 865, 159, 1643, 4523, 1485, 11937, 8287}},
+{5268, 16, 25505, {1, 1, 3, 11, 7, 43, 39, 37, 187, 797, 1273, 1227, 2683, 1249, 3375, 44499}},
+{5269, 16, 25517, {1, 1, 5, 11, 17, 35, 27, 73, 97, 59, 921, 2171, 7577, 2847, 93, 35911}},
+{5270, 16, 25530, {1, 1, 5, 1, 5, 17, 117, 189, 357, 581, 1945, 2141, 1679, 12019, 11249, 6809}},
+{5271, 16, 25558, {1, 1, 5, 7, 15, 53, 9, 191, 153, 257, 533, 493, 2389, 4657, 20757, 57275}},
+{5272, 16, 25562, {1, 1, 1, 11, 13, 35, 85, 37, 501, 525, 543, 4057, 2001, 6183, 949, 18465}},
+{5273, 16, 25598, {1, 1, 1, 3, 15, 7, 39, 169, 359, 671, 731, 1523, 211, 1233, 29515, 57787}},
+{5274, 16, 25609, {1, 1, 3, 7, 27, 7, 41, 15, 71, 733, 1919, 401, 1915, 4815, 10571, 839}},
+{5275, 16, 25612, {1, 1, 7, 13, 27, 61, 5, 25, 293, 779, 477, 1537, 6695, 7435, 1281, 64369}},
+{5276, 16, 25627, {1, 1, 7, 7, 19, 11, 101, 45, 449, 883, 1181, 3521, 6019, 16305, 23429, 43789}},
+{5277, 16, 25651, {1, 1, 7, 5, 1, 49, 121, 89, 275, 367, 461, 1717, 2733, 4403, 9123, 35217}},
+{5278, 16, 25653, {1, 1, 7, 1, 1, 37, 41, 221, 281, 531, 357, 3783, 3561, 8135, 18405, 56045}},
+{5279, 16, 25668, {1, 3, 5, 7, 29, 9, 127, 37, 13, 519, 1059, 3973, 7253, 15159, 19337, 57103}},
+{5280, 16, 25711, {1, 3, 3, 15, 3, 41, 91, 7, 63, 747, 1649, 3367, 5945, 3603, 28465, 511}},
+{5281, 16, 25765, {1, 3, 3, 15, 27, 19, 67, 179, 505, 131, 149, 1753, 3603, 1135, 15811, 5305}},
+{5282, 16, 25770, {1, 1, 1, 5, 5, 63, 71, 235, 151, 651, 1383, 249, 3223, 14559, 26809, 4551}},
+{5283, 16, 25775, {1, 3, 3, 9, 29, 41, 67, 111, 175, 515, 1123, 1707, 6653, 8233, 22775, 61029}},
+{5284, 16, 25777, {1, 3, 3, 9, 23, 1, 75, 145, 159, 785, 537, 1995, 2241, 8641, 30709, 41373}},
+{5285, 16, 25783, {1, 1, 5, 9, 21, 1, 87, 233, 401, 643, 197, 3437, 8163, 6363, 6537, 17283}},
+{5286, 16, 25801, {1, 3, 5, 3, 23, 19, 55, 243, 405, 369, 1221, 1959, 5455, 11729, 26117, 9097}},
+{5287, 16, 25802, {1, 1, 3, 13, 3, 57, 71, 235, 125, 263, 873, 1079, 2627, 1343, 1979, 49519}},
+{5288, 16, 25812, {1, 3, 1, 11, 21, 15, 27, 7, 425, 935, 305, 2593, 4437, 9517, 26207, 4229}},
+{5289, 16, 25821, {1, 1, 3, 13, 11, 53, 1, 149, 97, 939, 147, 3365, 5023, 607, 2083, 8715}},
+{5290, 16, 25897, {1, 1, 5, 3, 13, 13, 113, 51, 263, 837, 1145, 3621, 5697, 2867, 7975, 22839}},
+{5291, 16, 25906, {1, 1, 3, 15, 31, 9, 91, 231, 399, 295, 1935, 4021, 7669, 3867, 28015, 9865}},
+{5292, 16, 25929, {1, 1, 1, 1, 13, 59, 51, 35, 407, 733, 1629, 2429, 291, 11923, 32129, 28847}},
+{5293, 16, 25940, {1, 3, 3, 11, 25, 21, 13, 117, 31, 547, 327, 2801, 2247, 4051, 27523, 4257}},
+{5294, 16, 25950, {1, 1, 7, 7, 15, 33, 15, 17, 255, 363, 1013, 1463, 7537, 14093, 21883, 35389}},
+{5295, 16, 25968, {1, 1, 5, 9, 11, 61, 7, 161, 121, 413, 515, 413, 4439, 15405, 30265, 23939}},
+{5296, 16, 25971, {1, 3, 7, 7, 11, 15, 5, 181, 315, 231, 1567, 2985, 1653, 12251, 269, 37317}},
+{5297, 16, 25977, {1, 3, 1, 11, 3, 15, 91, 45, 489, 571, 11, 1239, 7705, 4303, 12535, 21359}},
+{5298, 16, 25994, {1, 1, 7, 15, 29, 43, 81, 63, 483, 851, 389, 1719, 6111, 15293, 2513, 44397}},
+{5299, 16, 25996, {1, 1, 5, 15, 25, 33, 97, 131, 183, 269, 1903, 2733, 7197, 4507, 24471, 36871}},
+{5300, 16, 25999, {1, 3, 3, 13, 17, 33, 73, 83, 247, 207, 79, 1139, 581, 12147, 3539, 45423}},
+{5301, 16, 26001, {1, 1, 1, 15, 29, 49, 79, 151, 267, 393, 1995, 105, 2873, 3981, 19147, 53987}},
+{5302, 16, 26030, {1, 1, 5, 1, 31, 25, 39, 203, 459, 181, 661, 717, 6235, 13413, 1197, 40665}},
+{5303, 16, 26069, {1, 1, 5, 9, 19, 33, 65, 239, 463, 133, 461, 3601, 7755, 1771, 20683, 7417}},
+{5304, 16, 26100, {1, 1, 1, 1, 25, 19, 25, 155, 431, 33, 341, 959, 5679, 1205, 2599, 37499}},
+{5305, 16, 26109, {1, 1, 3, 5, 25, 5, 83, 87, 91, 991, 1833, 4063, 147, 14497, 25725, 4617}},
+{5306, 16, 26131, {1, 3, 5, 7, 31, 7, 73, 51, 339, 313, 1593, 2089, 7387, 15759, 3249, 7953}},
+{5307, 16, 26144, {1, 3, 7, 1, 27, 49, 35, 11, 21, 45, 1689, 1665, 4591, 3713, 12781, 4805}},
+{5308, 16, 26149, {1, 1, 3, 9, 29, 51, 73, 51, 303, 179, 67, 3917, 7615, 6131, 26225, 55991}},
+{5309, 16, 26162, {1, 3, 7, 11, 9, 63, 29, 47, 153, 883, 1859, 1913, 3563, 11451, 6333, 51367}},
+{5310, 16, 26167, {1, 3, 1, 3, 5, 25, 69, 87, 389, 613, 989, 3557, 1339, 12503, 14505, 63209}},
+{5311, 16, 26173, {1, 1, 3, 1, 5, 13, 37, 163, 499, 163, 2025, 1467, 5059, 8479, 2889, 62957}},
+{5312, 16, 26179, {1, 1, 7, 9, 23, 31, 109, 49, 73, 197, 337, 2763, 4789, 8983, 9691, 32155}},
+{5313, 16, 26193, {1, 3, 1, 3, 31, 25, 121, 91, 371, 339, 833, 2217, 4997, 9425, 10685, 60037}},
+{5314, 16, 26230, {1, 1, 7, 11, 31, 3, 105, 125, 255, 175, 803, 1787, 6231, 4441, 5031, 29737}},
+{5315, 16, 26234, {1, 1, 1, 11, 21, 63, 75, 209, 393, 437, 495, 2397, 4759, 15703, 29869, 62685}},
+{5316, 16, 26246, {1, 1, 7, 7, 25, 33, 117, 7, 293, 623, 2001, 2409, 2487, 14803, 3329, 38277}},
+{5317, 16, 26267, {1, 1, 7, 9, 31, 51, 75, 151, 487, 85, 639, 3529, 4491, 1957, 22099, 20263}},
+{5318, 16, 26283, {1, 1, 7, 5, 3, 29, 11, 1, 255, 555, 1269, 779, 1525, 7689, 25847, 39347}},
+{5319, 16, 26300, {1, 1, 7, 7, 19, 21, 9, 123, 3, 943, 1627, 2979, 919, 4565, 31435, 59789}},
+{5320, 16, 26341, {1, 3, 7, 5, 29, 13, 57, 221, 9, 893, 1685, 1879, 4575, 7369, 26191, 6067}},
+{5321, 16, 26356, {1, 3, 7, 9, 13, 11, 9, 27, 313, 751, 1377, 1121, 3799, 1673, 16305, 30665}},
+{5322, 16, 26377, {1, 3, 3, 13, 23, 17, 59, 47, 499, 525, 681, 3195, 1611, 7003, 7325, 53019}},
+{5323, 16, 26397, {1, 3, 1, 7, 23, 51, 59, 127, 67, 263, 1305, 2479, 637, 9441, 6329, 12857}},
+{5324, 16, 26404, {1, 1, 7, 7, 9, 3, 51, 193, 205, 503, 19, 2513, 7489, 9241, 15371, 20875}},
+{5325, 16, 26411, {1, 3, 3, 1, 1, 57, 17, 181, 23, 549, 769, 2325, 3669, 7017, 25601, 64479}},
+{5326, 16, 26422, {1, 3, 1, 15, 5, 55, 53, 13, 327, 447, 1031, 1599, 3639, 15305, 1387, 16035}},
+{5327, 16, 26451, {1, 3, 7, 15, 9, 41, 53, 113, 97, 99, 1377, 4047, 3713, 8891, 5601, 5853}},
+{5328, 16, 26454, {1, 1, 7, 9, 9, 7, 29, 249, 411, 315, 181, 2153, 6135, 6947, 27595, 15553}},
+{5329, 16, 26463, {1, 1, 7, 11, 3, 57, 35, 55, 165, 313, 577, 3049, 4259, 4231, 7225, 58973}},
+{5330, 16, 26488, {1, 1, 1, 1, 15, 43, 53, 143, 157, 843, 465, 3897, 4797, 12305, 28807, 46381}},
+{5331, 16, 26498, {1, 3, 7, 9, 17, 3, 99, 61, 475, 507, 831, 2207, 367, 27, 23205, 2303}},
+{5332, 16, 26509, {1, 1, 3, 11, 27, 29, 99, 237, 43, 955, 361, 3231, 1863, 7973, 8969, 58663}},
+{5333, 16, 26512, {1, 3, 1, 7, 15, 15, 11, 251, 135, 261, 675, 3723, 7675, 7993, 1725, 41149}},
+{5334, 16, 26517, {1, 3, 3, 9, 29, 11, 105, 37, 151, 215, 1911, 4051, 5427, 11019, 9073, 33129}},
+{5335, 16, 26534, {1, 3, 3, 1, 19, 7, 103, 81, 371, 253, 1043, 1231, 6497, 10377, 2349, 29047}},
+{5336, 16, 26545, {1, 3, 7, 9, 15, 11, 85, 61, 507, 629, 811, 3883, 1435, 13035, 31913, 2153}},
+{5337, 16, 26546, {1, 1, 5, 11, 13, 7, 63, 147, 117, 223, 1217, 3317, 3275, 6851, 2917, 55901}},
+{5338, 16, 26636, {1, 3, 3, 9, 7, 21, 1, 63, 117, 297, 405, 797, 337, 10173, 8327, 29157}},
+{5339, 16, 26749, {1, 1, 7, 11, 31, 63, 97, 191, 259, 421, 1829, 2117, 4203, 11919, 18001, 55791}},
+{5340, 16, 26753, {1, 3, 7, 9, 21, 13, 125, 247, 133, 611, 463, 227, 7815, 8877, 17961, 3641}},
+{5341, 16, 26759, {1, 1, 7, 9, 27, 21, 97, 165, 371, 715, 491, 3929, 3067, 12501, 5511, 18217}},
+{5342, 16, 26774, {1, 3, 3, 15, 27, 17, 81, 161, 263, 273, 135, 1159, 7535, 4581, 16065, 11493}},
+{5343, 16, 26789, {1, 3, 3, 7, 11, 59, 111, 47, 381, 413, 243, 2173, 4957, 2451, 15669, 22071}},
+{5344, 16, 26808, {1, 3, 7, 5, 3, 31, 65, 131, 111, 141, 1891, 2983, 3331, 769, 24075, 40865}},
+{5345, 16, 26825, {1, 3, 7, 11, 11, 63, 7, 213, 333, 111, 1235, 961, 3749, 9123, 5067, 9657}},
+{5346, 16, 26831, {1, 3, 3, 1, 9, 33, 1, 225, 37, 951, 1995, 3215, 3117, 3723, 15013, 64525}},
+{5347, 16, 26859, {1, 3, 3, 13, 29, 19, 103, 65, 67, 423, 1679, 3791, 5551, 11711, 195, 52291}},
+{5348, 16, 26888, {1, 3, 1, 15, 31, 7, 65, 249, 489, 287, 1385, 1075, 1357, 13593, 20853, 46221}},
+{5349, 16, 26918, {1, 1, 1, 13, 23, 45, 29, 175, 147, 101, 1007, 1867, 5387, 12683, 29609, 55861}},
+{5350, 16, 26929, {1, 3, 5, 13, 21, 31, 85, 187, 183, 179, 1337, 481, 71, 6117, 2177, 27915}},
+{5351, 16, 26950, {1, 3, 5, 1, 15, 5, 11, 141, 205, 177, 891, 3591, 4371, 889, 12957, 61083}},
+{5352, 16, 26954, {1, 3, 7, 7, 11, 39, 81, 241, 13, 757, 521, 3029, 2345, 12385, 20683, 64053}},
+{5353, 16, 26973, {1, 1, 5, 13, 7, 3, 77, 211, 215, 97, 1409, 1021, 1267, 4785, 27231, 2877}},
+{5354, 16, 26997, {1, 3, 5, 3, 11, 57, 93, 39, 415, 179, 1033, 3267, 5383, 10451, 27117, 10711}},
+{5355, 16, 26998, {1, 1, 1, 1, 3, 45, 93, 179, 453, 995, 1423, 3849, 4381, 15789, 20789, 18775}},
+{5356, 16, 27008, {1, 3, 1, 3, 13, 25, 33, 165, 351, 887, 1109, 195, 8131, 3061, 16743, 22997}},
+{5357, 16, 27038, {1, 3, 1, 5, 23, 35, 93, 155, 333, 603, 1571, 229, 2979, 6295, 20793, 40901}},
+{5358, 16, 27109, {1, 3, 3, 11, 29, 57, 101, 61, 487, 719, 1009, 1933, 7815, 15329, 12489, 26105}},
+{5359, 16, 27127, {1, 3, 3, 9, 23, 59, 73, 13, 141, 815, 1819, 3557, 2555, 5901, 23039, 62321}},
+{5360, 16, 27150, {1, 1, 3, 5, 19, 49, 27, 139, 35, 995, 565, 323, 6439, 15679, 27017, 30889}},
+{5361, 16, 27168, {1, 3, 7, 3, 1, 3, 27, 153, 235, 59, 989, 2763, 4197, 3931, 31227, 27129}},
+{5362, 16, 27178, {1, 3, 1, 15, 23, 45, 71, 205, 465, 451, 347, 1909, 3287, 8363, 9081, 35641}},
+{5363, 16, 27212, {1, 1, 5, 1, 25, 29, 17, 201, 463, 903, 1729, 3435, 2483, 10835, 14315, 52505}},
+{5364, 16, 27224, {1, 1, 1, 15, 13, 23, 3, 175, 273, 305, 1945, 3319, 7777, 9411, 4209, 4047}},
+{5365, 16, 27229, {1, 1, 5, 15, 25, 5, 71, 35, 307, 89, 301, 3465, 1497, 13467, 21911, 13611}},
+{5366, 16, 27246, {1, 3, 1, 7, 11, 7, 33, 241, 349, 751, 633, 3281, 6733, 13833, 23605, 34307}},
+{5367, 16, 27251, {1, 1, 1, 15, 17, 27, 45, 13, 259, 843, 1207, 1735, 4063, 6259, 1751, 45107}},
+{5368, 16, 27257, {1, 1, 5, 15, 29, 51, 73, 95, 5, 31, 933, 423, 5505, 2193, 14919, 2715}},
+{5369, 16, 27258, {1, 3, 1, 3, 23, 5, 29, 7, 271, 485, 827, 1159, 77, 16337, 27933, 18741}},
+{5370, 16, 27260, {1, 3, 7, 9, 23, 33, 47, 191, 59, 301, 1277, 3745, 7837, 799, 2861, 25853}},
+{5371, 16, 27287, {1, 3, 7, 13, 13, 39, 33, 91, 279, 855, 1917, 3601, 3971, 6193, 16951, 6115}},
+{5372, 16, 27300, {1, 1, 3, 13, 15, 59, 89, 239, 313, 545, 431, 3823, 5741, 14981, 2647, 42813}},
+{5373, 16, 27315, {1, 1, 1, 3, 17, 21, 45, 37, 343, 737, 1795, 2659, 2897, 7683, 15191, 1393}},
+{5374, 16, 27329, {1, 1, 3, 3, 19, 55, 27, 201, 459, 953, 1531, 671, 5667, 11695, 149, 14605}},
+{5375, 16, 27332, {1, 3, 7, 13, 9, 63, 67, 229, 69, 819, 859, 2035, 5725, 13403, 24197, 2599}},
+{5376, 16, 27349, {1, 1, 7, 7, 1, 59, 45, 105, 327, 779, 59, 791, 7593, 8189, 28161, 13339}},
+{5377, 16, 27350, {1, 3, 3, 15, 25, 55, 125, 189, 327, 733, 115, 3541, 5227, 12143, 32719, 15785}},
+{5378, 16, 27354, {1, 3, 3, 7, 19, 51, 35, 63, 507, 89, 1441, 2369, 4927, 7953, 10193, 8331}},
+{5379, 16, 27359, {1, 1, 5, 5, 21, 1, 41, 49, 217, 1001, 1649, 2789, 5267, 1525, 3811, 40785}},
+{5380, 16, 27377, {1, 1, 7, 15, 31, 21, 33, 183, 425, 393, 367, 3253, 3047, 465, 28229, 44743}},
+{5381, 16, 27378, {1, 3, 7, 5, 1, 23, 11, 71, 269, 707, 5, 2931, 1959, 15089, 9299, 43927}},
+{5382, 16, 27383, {1, 3, 5, 15, 21, 51, 31, 15, 49, 481, 297, 3871, 751, 10661, 26401, 62923}},
+{5383, 16, 27384, {1, 3, 1, 7, 17, 27, 35, 255, 205, 865, 1659, 1921, 5457, 11633, 2825, 13549}},
+{5384, 16, 27387, {1, 1, 5, 15, 17, 35, 83, 237, 437, 7, 2001, 2225, 2601, 10841, 7953, 20651}},
+{5385, 16, 27392, {1, 1, 1, 3, 3, 37, 43, 135, 451, 203, 1319, 261, 3889, 14489, 9635, 52545}},
+{5386, 16, 27402, {1, 3, 3, 13, 15, 41, 95, 207, 43, 997, 207, 3459, 5995, 5187, 15851, 28551}},
+{5387, 16, 27438, {1, 1, 1, 5, 23, 57, 49, 101, 303, 921, 745, 1407, 7071, 2765, 18703, 32671}},
+{5388, 16, 27481, {1, 1, 7, 13, 9, 59, 65, 157, 209, 295, 107, 3175, 3401, 1197, 1875, 9033}},
+{5389, 16, 27482, {1, 1, 3, 3, 17, 9, 101, 75, 177, 905, 1013, 397, 3421, 6475, 15897, 11269}},
+{5390, 16, 27494, {1, 3, 1, 5, 29, 53, 105, 83, 383, 137, 1169, 1245, 6973, 8701, 317, 10073}},
+{5391, 16, 27531, {1, 1, 1, 3, 15, 55, 69, 219, 507, 707, 945, 397, 779, 4157, 10333, 7869}},
+{5392, 16, 27542, {1, 3, 1, 3, 9, 21, 125, 153, 107, 969, 1979, 651, 1199, 11419, 17043, 32269}},
+{5393, 16, 27546, {1, 1, 1, 7, 1, 29, 71, 127, 209, 853, 1515, 1169, 5055, 9981, 30291, 29569}},
+{5394, 16, 27564, {1, 3, 1, 11, 1, 1, 109, 251, 329, 633, 2021, 1237, 2147, 11471, 26025, 19649}},
+{5395, 16, 27567, {1, 1, 5, 1, 5, 7, 77, 175, 251, 143, 711, 1241, 2133, 9993, 9203, 24949}},
+{5396, 16, 27582, {1, 3, 5, 11, 19, 11, 101, 83, 91, 595, 753, 2389, 1887, 11569, 29759, 55785}},
+{5397, 16, 27608, {1, 1, 1, 3, 29, 47, 49, 249, 495, 451, 1887, 2547, 543, 2755, 17207, 24379}},
+{5398, 16, 27611, {1, 3, 7, 7, 19, 15, 95, 143, 109, 221, 2041, 3593, 4571, 14547, 14217, 16711}},
+{5399, 16, 27624, {1, 3, 5, 13, 27, 55, 31, 209, 39, 989, 1435, 1665, 7265, 14127, 13517, 37647}},
+{5400, 16, 27629, {1, 1, 3, 7, 1, 49, 63, 71, 249, 371, 435, 3591, 2677, 143, 28897, 38981}},
+{5401, 16, 27655, {1, 1, 7, 7, 21, 9, 53, 221, 23, 515, 1971, 3759, 3511, 10207, 12929, 42021}},
+{5402, 16, 27667, {1, 3, 1, 13, 25, 21, 3, 85, 421, 19, 663, 3219, 3541, 13021, 5765, 39623}},
+{5403, 16, 27676, {1, 3, 1, 7, 11, 5, 125, 169, 293, 715, 1111, 2965, 4815, 6047, 27207, 23093}},
+{5404, 16, 27710, {1, 1, 5, 13, 11, 15, 37, 201, 457, 551, 821, 25, 435, 14307, 25855, 1811}},
+{5405, 16, 27724, {1, 3, 3, 9, 27, 15, 1, 253, 217, 549, 1013, 2277, 4171, 3813, 19857, 8641}},
+{5406, 16, 27745, {1, 3, 5, 5, 29, 37, 71, 49, 163, 949, 425, 2459, 945, 13125, 13981, 21669}},
+{5407, 16, 27752, {1, 3, 3, 9, 17, 23, 53, 235, 83, 887, 439, 1939, 7601, 15275, 15739, 17623}},
+{5408, 16, 27770, {1, 3, 5, 13, 7, 51, 73, 67, 167, 849, 2021, 2977, 6591, 3721, 5827, 40897}},
+{5409, 16, 27779, {1, 1, 5, 11, 27, 19, 81, 181, 383, 23, 1061, 3327, 1671, 7113, 7435, 17591}},
+{5410, 16, 27781, {1, 3, 3, 7, 25, 33, 73, 23, 103, 821, 917, 1425, 4739, 7227, 12365, 29509}},
+{5411, 16, 27791, {1, 1, 1, 7, 3, 37, 81, 231, 135, 663, 1983, 399, 6881, 14991, 4957, 20913}},
+{5412, 16, 27809, {1, 3, 7, 15, 25, 41, 65, 215, 301, 471, 1669, 65, 227, 9307, 29867, 9503}},
+{5413, 16, 27810, {1, 1, 7, 3, 25, 47, 31, 63, 53, 995, 33, 1297, 3423, 12301, 16255, 14467}},
+{5414, 16, 27815, {1, 3, 1, 1, 31, 25, 79, 131, 353, 169, 1425, 2257, 2631, 1559, 793, 48383}},
+{5415, 16, 27827, {1, 3, 3, 5, 31, 9, 93, 35, 503, 243, 595, 2939, 771, 7333, 13429, 59457}},
+{5416, 16, 27834, {1, 3, 1, 7, 5, 51, 21, 237, 453, 743, 775, 2207, 453, 12077, 12283, 9735}},
+{5417, 16, 27865, {1, 3, 1, 15, 5, 47, 59, 239, 87, 97, 885, 3191, 2547, 13227, 7433, 4989}},
+{5418, 16, 27899, {1, 3, 5, 15, 21, 33, 41, 155, 509, 317, 517, 1101, 133, 1897, 8235, 57673}},
+{5419, 16, 27901, {1, 1, 5, 15, 7, 9, 59, 155, 415, 831, 1173, 1263, 5451, 7181, 7233, 51483}},
+{5420, 16, 27914, {1, 1, 7, 3, 31, 43, 71, 39, 155, 529, 895, 827, 3203, 4625, 32185, 53507}},
+{5421, 16, 27950, {1, 3, 1, 11, 15, 17, 85, 141, 277, 439, 1775, 4015, 4457, 281, 22455, 47591}},
+{5422, 16, 27994, {1, 3, 5, 11, 25, 41, 93, 39, 51, 655, 1347, 3109, 2479, 9057, 18939, 26217}},
+{5423, 16, 28005, {1, 3, 3, 11, 31, 41, 7, 189, 241, 443, 65, 1723, 4817, 13405, 9641, 63965}},
+{5424, 16, 28009, {1, 1, 5, 3, 19, 29, 111, 11, 399, 277, 425, 1331, 5365, 14521, 16449, 29411}},
+{5425, 16, 28033, {1, 1, 3, 9, 25, 53, 91, 175, 481, 307, 1025, 71, 7425, 10667, 4053, 25605}},
+{5426, 16, 28039, {1, 3, 7, 7, 3, 13, 75, 175, 467, 363, 1889, 1759, 1155, 5511, 13047, 39637}},
+{5427, 16, 28060, {1, 3, 7, 9, 5, 21, 65, 43, 223, 97, 835, 2253, 3313, 9817, 23015, 55365}},
+{5428, 16, 28067, {1, 1, 1, 13, 9, 63, 95, 61, 417, 713, 1469, 1815, 795, 13609, 1567, 33535}},
+{5429, 16, 28069, {1, 3, 7, 1, 25, 45, 41, 27, 53, 407, 1633, 1317, 6267, 3293, 8899, 45235}},
+{5430, 16, 28099, {1, 3, 5, 11, 23, 47, 91, 211, 41, 775, 1301, 1407, 7931, 4491, 7579, 62321}},
+{5431, 16, 28113, {1, 1, 1, 7, 23, 15, 57, 31, 437, 293, 1999, 2589, 5453, 2519, 15533, 26949}},
+{5432, 16, 28114, {1, 3, 1, 9, 1, 27, 41, 165, 129, 297, 1887, 1171, 201, 5817, 24503, 38911}},
+{5433, 16, 28139, {1, 3, 1, 7, 1, 11, 63, 225, 191, 623, 1281, 3275, 167, 14697, 4905, 47289}},
+{5434, 16, 28142, {1, 3, 7, 7, 15, 47, 87, 177, 303, 391, 355, 3997, 7557, 6201, 20531, 22483}},
+{5435, 16, 28153, {1, 3, 3, 15, 17, 31, 111, 87, 61, 477, 1581, 3787, 5919, 10511, 2607, 62951}},
+{5436, 16, 28166, {1, 3, 3, 9, 29, 19, 63, 27, 205, 915, 1131, 3821, 673, 2875, 12703, 14367}},
+{5437, 16, 28172, {1, 3, 7, 1, 21, 19, 25, 97, 281, 635, 629, 181, 5207, 11133, 3687, 3489}},
+{5438, 16, 28183, {1, 3, 3, 9, 5, 63, 3, 21, 385, 713, 1805, 3583, 2807, 15455, 13057, 39771}},
+{5439, 16, 28194, {1, 3, 5, 9, 3, 59, 1, 253, 123, 405, 575, 3911, 4609, 11869, 23593, 947}},
+{5440, 16, 28232, {1, 1, 7, 5, 21, 27, 101, 221, 413, 153, 1647, 3637, 803, 5697, 20761, 61137}},
+{5441, 16, 28245, {1, 3, 7, 13, 31, 35, 111, 253, 187, 499, 465, 157, 5551, 10417, 323, 34913}},
+{5442, 16, 28246, {1, 1, 1, 7, 11, 41, 29, 65, 393, 69, 1373, 2291, 7807, 13159, 13735, 31001}},
+{5443, 16, 28252, {1, 3, 7, 13, 31, 49, 1, 35, 377, 11, 427, 2803, 1725, 9165, 22633, 63985}},
+{5444, 16, 28265, {1, 3, 7, 13, 3, 41, 27, 43, 269, 599, 1035, 3681, 309, 6011, 1065, 27901}},
+{5445, 16, 28301, {1, 3, 5, 13, 1, 19, 105, 143, 425, 883, 1669, 155, 189, 8573, 10759, 25507}},
+{5446, 16, 28323, {1, 3, 5, 1, 15, 37, 115, 9, 149, 79, 1733, 1045, 1849, 3289, 13957, 63171}},
+{5447, 16, 28344, {1, 1, 3, 9, 17, 27, 49, 201, 155, 901, 47, 1585, 4419, 8117, 25425, 14699}},
+{5448, 16, 28362, {1, 1, 7, 13, 19, 55, 19, 21, 427, 77, 1295, 1471, 6271, 7985, 19337, 12701}},
+{5449, 16, 28400, {1, 1, 1, 1, 11, 49, 101, 53, 175, 157, 839, 2713, 6149, 6391, 8089, 27739}},
+{5450, 16, 28417, {1, 3, 1, 1, 5, 21, 121, 199, 107, 221, 993, 1737, 409, 2545, 9287, 54605}},
+{5451, 16, 28454, {1, 1, 1, 3, 25, 25, 51, 121, 371, 861, 967, 3257, 6221, 11701, 27897, 42509}},
+{5452, 16, 28466, {1, 1, 1, 3, 17, 25, 101, 191, 313, 817, 815, 1855, 7999, 12649, 23385, 26081}},
+{5453, 16, 28468, {1, 1, 5, 1, 25, 55, 51, 237, 63, 943, 455, 619, 2381, 9773, 14575, 34205}},
+{5454, 16, 28477, {1, 3, 3, 3, 13, 49, 101, 37, 457, 727, 1009, 2389, 4841, 16303, 9599, 17773}},
+{5455, 16, 28498, {1, 1, 7, 9, 19, 59, 111, 205, 19, 229, 1755, 1169, 7767, 13335, 19669, 33269}},
+{5456, 16, 28510, {1, 3, 1, 15, 29, 1, 51, 167, 7, 415, 1295, 3165, 1241, 12859, 5531, 20083}},
+{5457, 16, 28513, {1, 1, 3, 7, 7, 51, 31, 221, 57, 643, 1461, 3951, 6237, 5757, 1907, 40471}},
+{5458, 16, 28571, {1, 3, 3, 5, 23, 39, 49, 177, 183, 117, 1379, 3803, 771, 12723, 22291, 32667}},
+{5459, 16, 28573, {1, 1, 3, 13, 27, 17, 39, 27, 313, 141, 1421, 2967, 2213, 1915, 23219, 15113}},
+{5460, 16, 28578, {1, 1, 1, 11, 5, 55, 51, 55, 389, 895, 57, 1447, 1497, 2799, 19585, 11587}},
+{5461, 16, 28587, {1, 1, 5, 13, 11, 55, 91, 77, 69, 131, 93, 1383, 3321, 10487, 15087, 8539}},
+{5462, 16, 28601, {1, 1, 3, 9, 23, 49, 107, 131, 363, 733, 1189, 3575, 7815, 10071, 20291, 7533}},
+{5463, 16, 28646, {1, 1, 3, 15, 31, 31, 73, 15, 199, 17, 761, 3271, 1419, 12985, 32717, 37317}},
+{5464, 16, 28663, {1, 3, 1, 13, 23, 9, 3, 59, 109, 729, 1321, 4023, 7041, 14445, 22205, 8993}},
+{5465, 16, 28681, {1, 1, 3, 15, 19, 43, 99, 59, 491, 479, 715, 2235, 7493, 889, 31465, 1375}},
+{5466, 16, 28682, {1, 3, 3, 15, 9, 47, 35, 115, 227, 615, 605, 1143, 5923, 10939, 9497, 24911}},
+{5467, 16, 28699, {1, 1, 3, 15, 23, 53, 111, 87, 423, 497, 85, 3525, 7341, 8885, 21543, 30083}},
+{5468, 16, 28706, {1, 1, 5, 3, 21, 5, 117, 157, 407, 743, 715, 1883, 4425, 10187, 6395, 43673}},
+{5469, 16, 28708, {1, 3, 3, 3, 31, 39, 119, 77, 269, 891, 1391, 3085, 2881, 10639, 3391, 44911}},
+{5470, 16, 28717, {1, 3, 7, 5, 7, 5, 115, 91, 5, 107, 1401, 1409, 1811, 737, 5399, 9119}},
+{5471, 16, 28720, {1, 1, 5, 9, 17, 45, 107, 15, 397, 299, 1219, 1675, 963, 10111, 31679, 13809}},
+{5472, 16, 28735, {1, 1, 3, 7, 29, 17, 43, 95, 261, 601, 1091, 3633, 1357, 13461, 16583, 12183}},
+{5473, 16, 28761, {1, 1, 5, 1, 19, 55, 5, 195, 187, 427, 421, 1717, 4223, 2943, 23147, 32985}},
+{5474, 16, 28783, {1, 3, 1, 3, 3, 23, 69, 95, 347, 273, 1223, 3061, 1587, 4707, 32415, 53991}},
+{5475, 16, 28788, {1, 1, 7, 13, 15, 13, 29, 151, 325, 949, 2029, 813, 5339, 14165, 1159, 56917}},
+{5476, 16, 28811, {1, 1, 1, 13, 9, 33, 67, 109, 215, 313, 1407, 3543, 2403, 5051, 20367, 13527}},
+{5477, 16, 28825, {1, 3, 1, 9, 5, 1, 9, 195, 497, 495, 1107, 745, 1647, 10637, 1933, 44965}},
+{5478, 16, 28838, {1, 1, 3, 9, 13, 19, 49, 183, 497, 519, 1433, 519, 4317, 2359, 10349, 63789}},
+{5479, 16, 28850, {1, 3, 5, 9, 29, 45, 55, 163, 189, 533, 275, 237, 5453, 8895, 6377, 14117}},
+{5480, 16, 28891, {1, 3, 7, 5, 25, 3, 111, 241, 139, 383, 689, 3481, 2557, 11163, 5275, 14671}},
+{5481, 16, 28897, {1, 3, 3, 9, 3, 5, 5, 141, 507, 331, 645, 1957, 5857, 2083, 24717, 11131}},
+{5482, 16, 28932, {1, 1, 5, 1, 11, 49, 113, 45, 491, 945, 1467, 3485, 6369, 15983, 14489, 12679}},
+{5483, 16, 28975, {1, 3, 7, 9, 11, 41, 77, 127, 147, 635, 1757, 587, 7423, 4233, 14875, 30531}},
+{5484, 16, 28998, {1, 3, 3, 9, 17, 29, 21, 249, 155, 441, 1443, 2093, 1967, 2117, 5815, 3857}},
+{5485, 16, 29052, {1, 3, 5, 3, 11, 55, 75, 157, 105, 507, 309, 3737, 2645, 7547, 29373, 62775}},
+{5486, 16, 29090, {1, 1, 3, 3, 11, 29, 49, 241, 21, 653, 1273, 715, 8123, 14241, 25257, 1681}},
+{5487, 16, 29096, {1, 1, 7, 5, 11, 31, 33, 215, 243, 369, 247, 3365, 4065, 9389, 32457, 58393}},
+{5488, 16, 29104, {1, 3, 5, 3, 31, 55, 51, 201, 439, 835, 1805, 25, 7987, 10611, 26893, 43663}},
+{5489, 16, 29113, {1, 1, 5, 9, 27, 51, 29, 31, 17, 163, 71, 603, 3083, 12439, 11043, 6471}},
+{5490, 16, 29133, {1, 1, 5, 7, 13, 1, 91, 109, 213, 721, 1345, 3037, 3047, 5209, 15559, 17467}},
+{5491, 16, 29142, {1, 1, 3, 9, 19, 37, 93, 185, 107, 859, 501, 3843, 1631, 4389, 2215, 52225}},
+{5492, 16, 29170, {1, 1, 3, 3, 25, 5, 119, 17, 33, 841, 997, 439, 6135, 7405, 8445, 40087}},
+{5493, 16, 29192, {1, 1, 7, 15, 19, 17, 101, 43, 423, 647, 29, 1143, 3259, 7807, 15929, 809}},
+{5494, 16, 29221, {1, 1, 7, 13, 21, 57, 83, 101, 183, 309, 171, 3173, 7919, 7263, 29403, 11055}},
+{5495, 16, 29236, {1, 1, 1, 13, 3, 1, 57, 15, 435, 713, 459, 847, 3115, 191, 19809, 43037}},
+{5496, 16, 29246, {1, 1, 7, 7, 17, 45, 91, 117, 157, 647, 121, 4091, 3611, 14169, 19883, 9069}},
+{5497, 16, 29293, {1, 1, 7, 7, 1, 47, 21, 253, 419, 157, 549, 2105, 4475, 3127, 3939, 5809}},
+{5498, 16, 29305, {1, 1, 5, 7, 15, 7, 71, 195, 87, 757, 77, 1391, 151, 12995, 26403, 17789}},
+{5499, 16, 29312, {1, 1, 1, 15, 15, 3, 79, 43, 475, 263, 1195, 2385, 5955, 7039, 15625, 19263}},
+{5500, 16, 29339, {1, 1, 5, 13, 13, 29, 5, 29, 489, 929, 2027, 2771, 6899, 14173, 13747, 1019}},
+{5501, 16, 29365, {1, 1, 7, 1, 5, 45, 37, 85, 221, 871, 627, 3445, 4853, 4243, 21651, 30201}},
+{5502, 16, 29389, {1, 3, 7, 11, 9, 49, 73, 245, 161, 321, 579, 2641, 6653, 5513, 11555, 53091}},
+{5503, 16, 29402, {1, 1, 7, 7, 25, 63, 101, 179, 497, 113, 9, 549, 5341, 6097, 13305, 52421}},
+{5504, 16, 29423, {1, 3, 3, 7, 21, 7, 89, 79, 137, 651, 189, 3025, 1403, 4559, 32611, 1857}},
+{5505, 16, 29443, {1, 3, 1, 13, 27, 55, 61, 135, 81, 195, 799, 3477, 4873, 2691, 29769, 59033}},
+{5506, 16, 29445, {1, 3, 3, 15, 29, 11, 7, 11, 151, 649, 1511, 2327, 6921, 12911, 3571, 35039}},
+{5507, 16, 29463, {1, 1, 5, 11, 25, 19, 49, 133, 455, 373, 1827, 3619, 2127, 3365, 11327, 52785}},
+{5508, 16, 29473, {1, 3, 5, 1, 9, 19, 107, 171, 205, 93, 1557, 2693, 4297, 4415, 20407, 19221}},
+{5509, 16, 29493, {1, 3, 3, 11, 15, 45, 37, 143, 61, 759, 2047, 2465, 3923, 9477, 30831, 46377}},
+{5510, 16, 29506, {1, 3, 7, 11, 17, 51, 117, 129, 77, 579, 1167, 1575, 1967, 10099, 22137, 31431}},
+{5511, 16, 29518, {1, 1, 5, 13, 31, 61, 67, 37, 49, 283, 235, 783, 7353, 5149, 12245, 18725}},
+{5512, 16, 29532, {1, 1, 5, 3, 17, 33, 35, 83, 359, 253, 1911, 913, 6481, 4635, 24223, 19693}},
+{5513, 16, 29560, {1, 1, 1, 13, 19, 15, 81, 131, 417, 969, 1911, 2829, 3097, 5333, 11175, 52269}},
+{5514, 16, 29590, {1, 3, 7, 15, 5, 39, 19, 205, 329, 83, 1473, 3259, 6409, 12297, 30557, 40917}},
+{5515, 16, 29594, {1, 3, 1, 15, 17, 33, 123, 185, 501, 299, 621, 929, 5797, 10539, 12321, 61043}},
+{5516, 16, 29637, {1, 3, 3, 1, 7, 51, 119, 19, 17, 203, 373, 2145, 2367, 9965, 28071, 50083}},
+{5517, 16, 29647, {1, 1, 1, 5, 1, 35, 43, 243, 91, 793, 1299, 2705, 7987, 1291, 10147, 17863}},
+{5518, 16, 29650, {1, 3, 5, 15, 27, 13, 99, 33, 179, 479, 897, 1113, 1639, 12321, 23987, 36219}},
+{5519, 16, 29655, {1, 1, 5, 9, 29, 41, 85, 9, 389, 583, 293, 1727, 2575, 13767, 15443, 40027}},
+{5520, 16, 29661, {1, 1, 7, 11, 29, 33, 93, 115, 51, 747, 1569, 3557, 869, 1991, 29877, 44131}},
+{5521, 16, 29680, {1, 3, 7, 7, 29, 11, 33, 137, 411, 689, 1815, 1789, 6557, 5973, 19445, 49449}},
+{5522, 16, 29721, {1, 1, 5, 1, 17, 3, 77, 55, 351, 325, 983, 3935, 819, 14127, 18893, 62553}},
+{5523, 16, 29751, {1, 3, 3, 1, 15, 33, 25, 159, 135, 385, 837, 3615, 1649, 1687, 3421, 47579}},
+{5524, 16, 29755, {1, 3, 1, 7, 17, 25, 125, 169, 469, 919, 1789, 863, 2827, 949, 21347, 10517}},
+{5525, 16, 29760, {1, 3, 1, 11, 27, 19, 45, 255, 175, 483, 1073, 3779, 611, 2809, 179, 19767}},
+{5526, 16, 29772, {1, 1, 3, 1, 21, 61, 47, 171, 179, 85, 61, 1209, 4005, 11439, 8477, 27229}},
+{5527, 16, 29778, {1, 1, 1, 1, 3, 1, 43, 159, 261, 411, 1449, 1621, 3681, 3465, 24029, 3493}},
+{5528, 16, 29799, {1, 3, 1, 11, 5, 13, 9, 23, 369, 769, 363, 3329, 409, 13151, 30269, 9621}},
+{5529, 16, 29824, {1, 1, 5, 1, 13, 39, 121, 39, 295, 981, 1151, 4039, 8179, 5007, 25527, 1249}},
+{5530, 16, 29841, {1, 3, 7, 5, 17, 21, 47, 233, 211, 349, 643, 109, 7553, 11453, 30967, 30959}},
+{5531, 16, 29842, {1, 1, 5, 3, 31, 39, 105, 137, 487, 855, 107, 1567, 2385, 2889, 25777, 33709}},
+{5532, 16, 29853, {1, 1, 1, 9, 1, 7, 9, 69, 465, 965, 355, 299, 3327, 14997, 14599, 2241}},
+{5533, 16, 29867, {1, 3, 5, 11, 5, 39, 69, 203, 367, 611, 199, 3931, 5039, 8683, 8675, 49151}},
+{5534, 16, 29949, {1, 1, 7, 13, 31, 35, 101, 213, 273, 827, 203, 2773, 4131, 1397, 15311, 62903}},
+{5535, 16, 29950, {1, 3, 7, 9, 23, 41, 33, 213, 411, 965, 563, 3035, 247, 15019, 20429, 61081}},
+{5536, 16, 29964, {1, 1, 5, 5, 5, 1, 1, 203, 27, 199, 67, 1301, 7831, 12839, 2777, 6325}},
+{5537, 16, 29967, {1, 3, 1, 11, 27, 3, 11, 173, 9, 121, 1701, 2741, 29, 16319, 15849, 11989}},
+{5538, 16, 29985, {1, 1, 5, 13, 17, 49, 125, 153, 261, 603, 1617, 3967, 6083, 7745, 19683, 49885}},
+{5539, 16, 29992, {1, 3, 3, 7, 23, 13, 39, 169, 135, 361, 579, 1443, 7615, 2389, 5669, 651}},
+{5540, 16, 30000, {1, 3, 5, 9, 31, 19, 81, 83, 483, 93, 1895, 2285, 7771, 8281, 8353, 39677}},
+{5541, 16, 30020, {1, 1, 7, 7, 23, 51, 127, 25, 101, 611, 1095, 3013, 2685, 8153, 22629, 53355}},
+{5542, 16, 30024, {1, 1, 1, 11, 11, 37, 35, 127, 317, 877, 1591, 401, 4121, 9945, 12121, 28257}},
+{5543, 16, 30030, {1, 3, 5, 11, 23, 9, 43, 135, 37, 405, 2009, 2903, 3065, 6591, 8473, 58231}},
+{5544, 16, 30066, {1, 1, 3, 11, 21, 45, 21, 205, 425, 891, 357, 2609, 495, 7541, 2161, 37853}},
+{5545, 16, 30071, {1, 3, 1, 1, 25, 9, 113, 243, 317, 491, 997, 2023, 5869, 13643, 11483, 6733}},
+{5546, 16, 30078, {1, 3, 1, 15, 13, 3, 75, 25, 409, 421, 1817, 857, 4575, 12559, 1211, 62177}},
+{5547, 16, 30082, {1, 1, 3, 7, 17, 35, 115, 195, 217, 223, 1195, 749, 5619, 7265, 7369, 46907}},
+{5548, 16, 30096, {1, 1, 1, 13, 5, 57, 117, 161, 121, 533, 987, 3959, 5047, 15213, 15811, 41841}},
+{5549, 16, 30101, {1, 3, 7, 1, 19, 55, 97, 191, 217, 75, 1881, 3351, 3737, 12179, 22875, 28767}},
+{5550, 16, 30102, {1, 3, 1, 9, 15, 41, 9, 97, 491, 31, 1191, 963, 875, 8259, 2723, 9503}},
+{5551, 16, 30122, {1, 3, 7, 9, 3, 17, 21, 71, 1, 523, 2031, 3469, 3181, 8707, 6093, 8837}},
+{5552, 16, 30141, {1, 3, 5, 3, 5, 1, 11, 91, 33, 37, 643, 85, 4325, 4293, 8351, 28311}},
+{5553, 16, 30159, {1, 3, 7, 5, 15, 45, 47, 183, 391, 113, 493, 3607, 2541, 13521, 31613, 36049}},
+{5554, 16, 30168, {1, 1, 3, 9, 15, 33, 115, 69, 289, 217, 1875, 1339, 4995, 9073, 6909, 15977}},
+{5555, 16, 30177, {1, 1, 7, 3, 9, 29, 39, 219, 119, 369, 893, 1293, 4511, 15703, 11093, 30259}},
+{5556, 16, 30183, {1, 1, 5, 13, 19, 9, 17, 75, 149, 415, 35, 97, 563, 1689, 18311, 54291}},
+{5557, 16, 30197, {1, 1, 7, 3, 17, 15, 71, 29, 25, 883, 1801, 1675, 5585, 9413, 3813, 26673}},
+{5558, 16, 30213, {1, 1, 3, 15, 5, 13, 31, 41, 311, 411, 573, 281, 8075, 7163, 11817, 29121}},
+{5559, 16, 30231, {1, 1, 7, 9, 7, 57, 15, 141, 337, 123, 269, 3737, 6455, 2539, 13655, 59809}},
+{5560, 16, 30232, {1, 3, 1, 15, 15, 23, 111, 51, 429, 483, 1567, 1317, 8057, 1609, 30181, 35687}},
+{5561, 16, 30241, {1, 3, 7, 9, 25, 43, 67, 13, 319, 587, 1827, 443, 2031, 8563, 16173, 58667}},
+{5562, 16, 30253, {1, 3, 5, 13, 11, 63, 89, 105, 377, 257, 7, 4077, 5091, 5125, 25, 39033}},
+{5563, 16, 30259, {1, 3, 3, 1, 9, 29, 7, 87, 239, 469, 1851, 1711, 5797, 7137, 11405, 20175}},
+{5564, 16, 30262, {1, 3, 3, 1, 13, 17, 101, 209, 301, 95, 1181, 3091, 4451, 1241, 17057, 335}},
+{5565, 16, 30268, {1, 1, 1, 9, 31, 7, 81, 161, 391, 677, 115, 141, 5375, 7279, 1887, 1645}},
+{5566, 16, 30297, {1, 1, 1, 11, 27, 61, 3, 195, 189, 409, 1747, 331, 2931, 9535, 1369, 47233}},
+{5567, 16, 30316, {1, 3, 5, 15, 7, 15, 105, 255, 491, 689, 97, 1131, 3459, 7147, 27541, 62307}},
+{5568, 16, 30322, {1, 3, 5, 9, 5, 23, 1, 209, 233, 717, 1919, 1835, 5073, 10403, 28979, 1945}},
+{5569, 16, 30344, {1, 1, 3, 9, 3, 35, 107, 209, 255, 447, 227, 273, 443, 9367, 24105, 34095}},
+{5570, 16, 30350, {1, 1, 3, 11, 3, 33, 5, 165, 83, 787, 1555, 31, 4351, 16301, 27453, 56739}},
+{5571, 16, 30355, {1, 1, 5, 5, 29, 9, 127, 253, 281, 487, 441, 1129, 2811, 9113, 28855, 57117}},
+{5572, 16, 30429, {1, 1, 1, 13, 13, 1, 17, 143, 121, 917, 1571, 3777, 2297, 3691, 3001, 42327}},
+{5573, 16, 30445, {1, 1, 5, 1, 25, 7, 41, 245, 241, 929, 1203, 3755, 7113, 9333, 22549, 12253}},
+{5574, 16, 30477, {1, 3, 1, 11, 1, 13, 69, 73, 285, 975, 1331, 3411, 7777, 3489, 2763, 44297}},
+{5575, 16, 30513, {1, 3, 5, 11, 3, 37, 21, 105, 153, 307, 989, 627, 3127, 6169, 10573, 22139}},
+{5576, 16, 30520, {1, 3, 5, 15, 11, 11, 39, 21, 355, 437, 547, 2283, 6443, 5561, 6367, 53899}},
+{5577, 16, 30540, {1, 1, 1, 9, 25, 51, 97, 175, 131, 207, 1367, 2561, 7455, 8289, 5877, 4383}},
+{5578, 16, 30551, {1, 3, 7, 1, 29, 17, 7, 1, 43, 831, 591, 2145, 975, 909, 23107, 43987}},
+{5579, 16, 30573, {1, 3, 5, 13, 5, 47, 65, 65, 439, 807, 271, 1615, 1873, 10905, 30537, 3337}},
+{5580, 16, 30609, {1, 1, 1, 13, 29, 1, 53, 5, 307, 347, 1059, 545, 1129, 11883, 5969, 50433}},
+{5581, 16, 30622, {1, 1, 3, 5, 31, 29, 63, 201, 255, 803, 677, 1499, 1691, 14037, 18251, 6881}},
+{5582, 16, 30635, {1, 3, 1, 5, 5, 13, 13, 121, 505, 855, 467, 2803, 3297, 4689, 18443, 60757}},
+{5583, 16, 30658, {1, 1, 5, 13, 11, 19, 11, 201, 101, 431, 693, 1267, 6909, 7759, 2265, 6125}},
+{5584, 16, 30667, {1, 1, 7, 13, 9, 3, 37, 209, 269, 27, 1041, 2587, 4667, 11077, 27009, 27967}},
+{5585, 16, 30681, {1, 1, 5, 5, 1, 5, 127, 179, 463, 949, 1525, 231, 1201, 3283, 9929, 46677}},
+{5586, 16, 30684, {1, 3, 1, 15, 9, 11, 89, 129, 331, 833, 1415, 229, 2059, 13145, 30525, 33773}},
+{5587, 16, 30703, {1, 1, 7, 15, 7, 43, 95, 177, 313, 989, 483, 825, 1885, 4535, 8213, 39835}},
+{5588, 16, 30705, {1, 1, 7, 3, 19, 27, 45, 163, 17, 523, 1565, 3753, 7433, 14117, 8499, 40177}},
+{5589, 16, 30715, {1, 3, 3, 15, 23, 45, 95, 31, 55, 469, 383, 237, 6287, 5561, 20901, 48259}},
+{5590, 16, 30742, {1, 1, 3, 1, 23, 61, 101, 185, 35, 553, 463, 1169, 2875, 12491, 14327, 47999}},
+{5591, 16, 30748, {1, 3, 3, 13, 23, 29, 77, 21, 19, 3, 769, 1943, 2081, 9135, 29767, 11367}},
+{5592, 16, 30758, {1, 1, 5, 15, 5, 11, 59, 163, 355, 993, 375, 3181, 2675, 8515, 17007, 38467}},
+{5593, 16, 30767, {1, 1, 5, 13, 19, 5, 107, 83, 123, 843, 413, 2137, 7531, 3833, 6149, 55925}},
+{5594, 16, 30770, {1, 3, 1, 13, 23, 9, 41, 145, 265, 591, 1899, 3145, 5255, 13653, 12245, 25367}},
+{5595, 16, 30772, {1, 1, 3, 15, 1, 45, 119, 79, 121, 137, 1945, 2041, 2409, 1377, 29501, 29885}},
+{5596, 16, 30807, {1, 1, 7, 11, 27, 57, 75, 183, 341, 237, 1909, 2785, 5973, 9965, 21729, 45089}},
+{5597, 16, 30814, {1, 3, 5, 7, 21, 1, 41, 189, 131, 1021, 1375, 1463, 5985, 12499, 4115, 9131}},
+{5598, 16, 30824, {1, 3, 7, 15, 21, 19, 59, 171, 339, 841, 1725, 2909, 6437, 2499, 17191, 43275}},
+{5599, 16, 30857, {1, 3, 1, 1, 15, 55, 31, 199, 351, 183, 1819, 1873, 7877, 12407, 7881, 1663}},
+{5600, 16, 30875, {1, 1, 3, 15, 1, 61, 111, 61, 115, 243, 1281, 3195, 1229, 10973, 189, 36049}},
+{5601, 16, 30931, {1, 1, 3, 15, 13, 13, 3, 49, 61, 839, 1615, 1853, 3619, 7805, 25441, 8789}},
+{5602, 16, 30933, {1, 3, 1, 9, 27, 43, 7, 193, 397, 869, 1079, 1785, 6535, 1801, 29363, 59269}},
+{5603, 16, 30949, {1, 3, 5, 5, 31, 57, 37, 53, 41, 871, 809, 1235, 1011, 12979, 8749, 52151}},
+{5604, 16, 30953, {1, 1, 7, 13, 25, 59, 69, 117, 463, 587, 513, 297, 6991, 5905, 25737, 37249}},
+{5605, 16, 30982, {1, 1, 5, 1, 27, 19, 121, 97, 349, 793, 1971, 3057, 4781, 15841, 22625, 58637}},
+{5606, 16, 31010, {1, 1, 5, 5, 25, 31, 11, 133, 411, 239, 1071, 3473, 1733, 7175, 31841, 46665}},
+{5607, 16, 31012, {1, 3, 3, 13, 19, 25, 99, 175, 271, 175, 1755, 3597, 4615, 15207, 25573, 16089}},
+{5608, 16, 31039, {1, 1, 7, 11, 17, 19, 119, 91, 505, 791, 55, 2979, 7463, 10147, 23647, 33283}},
+{5609, 16, 31041, {1, 3, 1, 1, 21, 11, 43, 173, 239, 839, 1533, 1559, 549, 15621, 22133, 46387}},
+{5610, 16, 31061, {1, 1, 3, 13, 31, 15, 73, 15, 209, 267, 701, 2899, 1163, 10093, 7727, 44211}},
+{5611, 16, 31082, {1, 3, 1, 11, 29, 21, 5, 39, 421, 375, 411, 3693, 3901, 8507, 10883, 16189}},
+{5612, 16, 31087, {1, 3, 1, 7, 13, 13, 73, 167, 149, 677, 1435, 621, 2511, 13813, 13129, 55327}},
+{5613, 16, 31096, {1, 3, 5, 15, 7, 59, 83, 221, 77, 357, 281, 2689, 5629, 5837, 1701, 30811}},
+{5614, 16, 31115, {1, 3, 3, 11, 17, 1, 43, 95, 473, 981, 1487, 1337, 905, 3307, 22357, 181}},
+{5615, 16, 31130, {1, 1, 3, 7, 1, 27, 9, 3, 489, 1, 1265, 2463, 539, 12769, 825, 6149}},
+{5616, 16, 31168, {1, 3, 3, 3, 11, 27, 81, 237, 411, 241, 1613, 931, 6397, 4325, 29651, 49003}},
+{5617, 16, 31171, {1, 3, 3, 13, 1, 19, 55, 73, 47, 203, 1661, 1245, 6847, 2457, 25427, 33069}},
+{5618, 16, 31177, {1, 3, 7, 3, 7, 47, 11, 165, 391, 457, 301, 1213, 1913, 14531, 7847, 14811}},
+{5619, 16, 31180, {1, 3, 1, 9, 1, 9, 57, 203, 15, 733, 1131, 2751, 5869, 3165, 21497, 28881}},
+{5620, 16, 31191, {1, 3, 1, 5, 9, 7, 29, 85, 71, 571, 469, 2395, 2819, 8443, 2281, 50489}},
+{5621, 16, 31207, {1, 3, 5, 11, 13, 63, 47, 47, 349, 21, 861, 2217, 2945, 6967, 6605, 16459}},
+{5622, 16, 31247, {1, 1, 7, 5, 13, 3, 41, 53, 409, 289, 1225, 2965, 5283, 1785, 14443, 51755}},
+{5623, 16, 31249, {1, 3, 7, 13, 19, 1, 29, 191, 119, 37, 697, 1909, 481, 14157, 13425, 60581}},
+{5624, 16, 31285, {1, 3, 1, 13, 1, 15, 105, 79, 505, 681, 1741, 3683, 5775, 7479, 11387, 1321}},
+{5625, 16, 31303, {1, 1, 1, 11, 9, 35, 77, 73, 351, 217, 2029, 2845, 5143, 5677, 15465, 33123}},
+{5626, 16, 31310, {1, 1, 3, 3, 19, 49, 63, 109, 335, 743, 741, 1673, 3311, 3139, 25197, 13793}},
+{5627, 16, 31337, {1, 3, 1, 3, 29, 63, 79, 1, 493, 13, 1487, 4015, 6983, 1433, 26023, 55591}},
+{5628, 16, 31352, {1, 3, 3, 11, 1, 25, 57, 207, 309, 201, 1513, 1749, 3785, 9217, 11531, 40597}},
+{5629, 16, 31357, {1, 3, 7, 13, 3, 23, 69, 253, 311, 773, 807, 1063, 745, 4843, 25221, 55885}},
+{5630, 16, 31374, {1, 1, 3, 11, 29, 47, 67, 183, 11, 259, 5, 1935, 2295, 8105, 19139, 11707}},
+{5631, 16, 31379, {1, 1, 3, 3, 23, 3, 53, 165, 255, 501, 1547, 3649, 5631, 13307, 8869, 5595}},
+{5632, 16, 31388, {1, 1, 3, 5, 7, 29, 37, 223, 289, 925, 959, 309, 1479, 3141, 18661, 52123}},
+{5633, 16, 31410, {1, 3, 1, 1, 7, 59, 101, 219, 91, 793, 1103, 1485, 7547, 12889, 19097, 15613}},
+{5634, 16, 31416, {1, 1, 5, 15, 1, 17, 79, 83, 131, 683, 1611, 1635, 5405, 9621, 29489, 4801}},
+{5635, 16, 31467, {1, 1, 5, 7, 31, 63, 59, 125, 401, 261, 1445, 33, 187, 12913, 8639, 48413}},
+{5636, 16, 31495, {1, 3, 3, 13, 27, 37, 27, 99, 379, 851, 1311, 4051, 5483, 13935, 29679, 30905}},
+{5637, 16, 31504, {1, 1, 3, 1, 7, 57, 79, 23, 97, 561, 1083, 2327, 1545, 5387, 12119, 29717}},
+{5638, 16, 31507, {1, 1, 7, 7, 9, 41, 63, 165, 315, 247, 89, 2055, 7399, 1399, 2057, 39851}},
+{5639, 16, 31509, {1, 1, 1, 15, 9, 23, 7, 15, 457, 669, 661, 3269, 915, 3475, 15845, 59769}},
+{5640, 16, 31514, {1, 3, 7, 15, 17, 53, 83, 5, 457, 103, 1297, 2413, 1095, 7711, 27935, 56357}},
+{5641, 16, 31516, {1, 1, 3, 5, 17, 3, 81, 23, 165, 341, 781, 3583, 1751, 6763, 13937, 35331}},
+{5642, 16, 31530, {1, 1, 5, 11, 31, 21, 7, 63, 369, 867, 573, 45, 2781, 4507, 21553, 51933}},
+{5643, 16, 31555, {1, 1, 5, 15, 1, 37, 85, 133, 489, 733, 1471, 2089, 979, 7723, 7339, 59595}},
+{5644, 16, 31567, {1, 1, 1, 1, 7, 3, 3, 77, 137, 1009, 481, 1343, 397, 15865, 21701, 37509}},
+{5645, 16, 31570, {1, 3, 7, 5, 17, 57, 19, 245, 249, 289, 1847, 3057, 4905, 5905, 32459, 41305}},
+{5646, 16, 31586, {1, 1, 5, 1, 23, 23, 1, 177, 115, 337, 983, 421, 3135, 6319, 27109, 59641}},
+{5647, 16, 31598, {1, 3, 1, 5, 25, 1, 63, 73, 61, 967, 1567, 2645, 7347, 11877, 28777, 38507}},
+{5648, 16, 31605, {1, 1, 3, 9, 5, 41, 39, 101, 339, 337, 1079, 3861, 5049, 5601, 14377, 34093}},
+{5649, 16, 31609, {1, 3, 7, 7, 3, 47, 95, 157, 167, 1011, 1117, 3669, 7993, 11735, 8505, 64713}},
+{5650, 16, 31612, {1, 3, 1, 9, 3, 33, 11, 33, 65, 329, 401, 2659, 2851, 3903, 29791, 41613}},
+{5651, 16, 31626, {1, 1, 1, 15, 15, 17, 9, 69, 359, 41, 1475, 1919, 5829, 2189, 21295, 33255}},
+{5652, 16, 31634, {1, 3, 1, 3, 9, 23, 73, 247, 399, 775, 419, 3033, 865, 12595, 16345, 15079}},
+{5653, 16, 31655, {1, 3, 1, 5, 1, 17, 33, 23, 419, 585, 673, 929, 6955, 10247, 12647, 29107}},
+{5654, 16, 31681, {1, 3, 3, 13, 9, 33, 11, 13, 127, 529, 1219, 2401, 6459, 14745, 5123, 53023}},
+{5655, 16, 31705, {1, 3, 5, 11, 23, 11, 5, 19, 281, 121, 1671, 2171, 4545, 10691, 24875, 28849}},
+{5656, 16, 31706, {1, 3, 1, 3, 13, 25, 85, 131, 127, 977, 1599, 3319, 3107, 3185, 4879, 3455}},
+{5657, 16, 31718, {1, 1, 5, 1, 3, 13, 77, 15, 133, 185, 1319, 727, 2181, 12175, 28017, 28023}},
+{5658, 16, 31735, {1, 3, 7, 5, 29, 51, 113, 203, 331, 847, 1, 3445, 3669, 7711, 13647, 58651}},
+{5659, 16, 31741, {1, 3, 1, 3, 31, 27, 35, 199, 491, 839, 1275, 3385, 4743, 821, 26259, 11345}},
+{5660, 16, 31744, {1, 1, 7, 9, 21, 47, 9, 67, 119, 985, 127, 1987, 5451, 6403, 26183, 8349}},
+{5661, 16, 31762, {1, 3, 5, 1, 19, 3, 91, 217, 301, 595, 1789, 735, 4993, 229, 18033, 59625}},
+{5662, 16, 31774, {1, 3, 3, 3, 11, 25, 103, 211, 117, 9, 773, 1521, 2265, 8277, 23179, 22433}},
+{5663, 16, 31864, {1, 1, 7, 9, 3, 27, 63, 255, 175, 699, 293, 2409, 3155, 285, 8663, 53503}},
+{5664, 16, 31874, {1, 1, 5, 7, 27, 23, 63, 213, 323, 697, 1541, 3497, 2985, 12389, 11155, 26217}},
+{5665, 16, 31900, {1, 3, 1, 3, 31, 7, 47, 207, 185, 873, 1063, 1055, 205, 12469, 23505, 56245}},
+{5666, 16, 31910, {1, 3, 7, 13, 31, 17, 47, 95, 91, 483, 1997, 3273, 445, 2601, 15219, 10997}},
+{5667, 16, 31928, {1, 3, 3, 5, 29, 45, 29, 83, 457, 823, 1395, 1411, 1879, 9409, 11609, 32001}},
+{5668, 16, 31965, {1, 3, 5, 11, 21, 11, 43, 73, 159, 137, 29, 1957, 815, 5077, 16127, 42199}},
+{5669, 16, 31976, {1, 3, 5, 13, 9, 59, 47, 215, 293, 807, 309, 1951, 2285, 9287, 1019, 49501}},
+{5670, 16, 32016, {1, 1, 7, 13, 31, 7, 95, 189, 233, 363, 1039, 1675, 1715, 9049, 8537, 31051}},
+{5671, 16, 32032, {1, 3, 7, 9, 23, 35, 125, 251, 107, 401, 1113, 3585, 6331, 2363, 27889, 28877}},
+{5672, 16, 32037, {1, 1, 7, 13, 9, 1, 13, 69, 257, 369, 547, 1595, 1823, 9553, 25653, 31181}},
+{5673, 16, 32062, {1, 1, 7, 11, 9, 43, 3, 93, 69, 1019, 1935, 3297, 47, 7101, 1037, 63473}},
+{5674, 16, 32069, {1, 1, 7, 5, 21, 9, 97, 105, 405, 893, 1673, 3783, 2965, 7329, 4549, 25433}},
+{5675, 16, 32115, {1, 1, 5, 13, 5, 17, 31, 123, 415, 173, 1333, 2245, 1557, 16011, 28321, 4039}},
+{5676, 16, 32128, {1, 1, 5, 9, 15, 3, 27, 79, 511, 39, 945, 49, 3231, 9199, 21327, 11183}},
+{5677, 16, 32171, {1, 3, 3, 9, 3, 15, 115, 141, 387, 341, 953, 399, 6109, 12037, 21079, 26745}},
+{5678, 16, 32173, {1, 3, 3, 1, 5, 5, 31, 195, 477, 755, 687, 3811, 805, 679, 20687, 46299}},
+{5679, 16, 32182, {1, 1, 7, 15, 1, 31, 67, 159, 205, 141, 1667, 3077, 451, 13161, 16211, 6887}},
+{5680, 16, 32191, {1, 3, 3, 1, 7, 43, 87, 5, 49, 205, 231, 3957, 2947, 13199, 15743, 4681}},
+{5681, 16, 32193, {1, 3, 3, 15, 25, 37, 95, 11, 439, 553, 59, 1241, 7407, 13467, 22403, 44441}},
+{5682, 16, 32194, {1, 1, 1, 3, 21, 3, 127, 239, 491, 139, 1411, 3417, 4247, 6247, 13809, 31609}},
+{5683, 16, 32229, {1, 1, 5, 1, 9, 13, 5, 155, 109, 593, 119, 4091, 1911, 8301, 4239, 50081}},
+{5684, 16, 32230, {1, 3, 5, 13, 27, 3, 99, 225, 253, 169, 801, 3741, 1905, 12073, 31831, 17997}},
+{5685, 16, 32248, {1, 3, 7, 15, 9, 23, 93, 171, 453, 983, 1657, 1133, 6381, 5229, 32303, 17439}},
+{5686, 16, 32263, {1, 1, 7, 11, 7, 5, 125, 141, 63, 763, 1293, 1007, 4579, 1479, 11977, 59261}},
+{5687, 16, 32264, {1, 3, 1, 7, 1, 15, 49, 41, 367, 639, 1933, 401, 2335, 2441, 13653, 55555}},
+{5688, 16, 32269, {1, 3, 1, 7, 15, 23, 5, 213, 45, 721, 543, 2133, 4525, 9719, 28053, 54075}},
+{5689, 16, 32298, {1, 3, 7, 3, 11, 7, 23, 35, 169, 829, 1957, 2423, 3583, 4951, 28957, 29753}},
+{5690, 16, 32335, {1, 1, 3, 3, 1, 5, 19, 235, 175, 969, 229, 2335, 7215, 10195, 7487, 64191}},
+{5691, 16, 32340, {1, 1, 7, 3, 27, 1, 73, 49, 445, 863, 69, 3555, 993, 9553, 31941, 29901}},
+{5692, 16, 32356, {1, 3, 5, 11, 9, 25, 59, 177, 23, 997, 1041, 1135, 3879, 767, 2263, 51267}},
+{5693, 16, 32374, {1, 1, 7, 3, 1, 63, 49, 51, 237, 569, 1293, 1143, 3125, 16315, 17009, 24821}},
+{5694, 16, 32390, {1, 3, 3, 15, 11, 17, 121, 25, 349, 833, 557, 1975, 5405, 15189, 31243, 53541}},
+{5695, 16, 32401, {1, 3, 7, 9, 11, 15, 39, 15, 75, 87, 55, 2069, 3291, 507, 16925, 57751}},
+{5696, 16, 32414, {1, 1, 3, 15, 1, 21, 61, 139, 357, 931, 647, 947, 2291, 15557, 6739, 5881}},
+{5697, 16, 32417, {1, 3, 1, 9, 1, 47, 73, 59, 115, 497, 733, 1777, 905, 16181, 4351, 7345}},
+{5698, 16, 32442, {1, 3, 3, 7, 5, 21, 67, 113, 71, 743, 757, 1851, 7899, 10315, 15437, 61803}},
+{5699, 16, 32450, {1, 3, 7, 1, 9, 23, 77, 131, 395, 767, 1229, 2629, 5731, 11907, 32217, 18473}},
+{5700, 16, 32461, {1, 3, 5, 15, 1, 23, 123, 207, 291, 565, 1211, 501, 2111, 11381, 5171, 54841}},
+{5701, 16, 32473, {1, 1, 1, 15, 21, 13, 3, 175, 405, 109, 1353, 2495, 7619, 14971, 28179, 34737}},
+{5702, 16, 32479, {1, 3, 5, 3, 17, 25, 53, 71, 229, 729, 1953, 3119, 7747, 1551, 23417, 35563}},
+{5703, 16, 32530, {1, 1, 7, 7, 11, 31, 81, 43, 149, 537, 1253, 2759, 431, 4813, 8375, 46329}},
+{5704, 16, 32536, {1, 1, 1, 5, 11, 27, 61, 199, 239, 889, 723, 2353, 5663, 7385, 28165, 14675}},
+{5705, 16, 32548, {1, 3, 1, 7, 3, 3, 83, 247, 247, 57, 579, 1163, 2615, 4051, 2809, 46413}},
+{5706, 16, 32577, {1, 1, 3, 11, 13, 47, 11, 235, 475, 35, 843, 2329, 3519, 8899, 14533, 24889}},
+{5707, 16, 32628, {1, 3, 1, 1, 7, 31, 15, 101, 327, 499, 471, 1001, 339, 11863, 24787, 47191}},
+{5708, 16, 32642, {1, 1, 7, 1, 3, 55, 93, 43, 11, 65, 289, 1249, 5325, 13867, 29841, 34333}},
+{5709, 16, 32665, {1, 3, 3, 1, 25, 61, 87, 113, 115, 265, 1007, 1129, 7633, 6109, 5733, 22649}},
+{5710, 16, 32666, {1, 3, 1, 11, 31, 59, 127, 83, 33, 419, 1037, 3777, 6383, 2711, 2113, 17233}},
+{5711, 16, 32668, {1, 1, 5, 13, 11, 17, 73, 41, 257, 223, 359, 3821, 4617, 1943, 11331, 40153}},
+{5712, 16, 32696, {1, 1, 1, 1, 9, 25, 43, 179, 17, 1021, 1323, 761, 5861, 11547, 26017, 5165}},
+{5713, 16, 32722, {1, 3, 5, 3, 29, 21, 53, 111, 213, 717, 1101, 3215, 3021, 16343, 23387, 33439}},
+{5714, 16, 32757, {1, 3, 5, 13, 29, 11, 21, 89, 107, 111, 1121, 2785, 3493, 9873, 13, 40863}},
+{5715, 16, 32758, {1, 1, 5, 13, 15, 15, 111, 219, 59, 43, 333, 3581, 1311, 2799, 23987, 21637}},
+{5716, 17, 4, {1, 3, 1, 11, 21, 57, 115, 247, 499, 525, 1629, 3679, 2109, 6607, 27435, 1745, 71201}},
+{5717, 17, 7, {1, 3, 3, 3, 31, 17, 113, 165, 189, 361, 103, 1775, 3001, 3865, 30591, 2873, 17129}},
+{5718, 17, 16, {1, 1, 5, 5, 15, 47, 47, 85, 247, 471, 713, 3571, 2407, 9811, 8187, 32133, 8541}},
+{5719, 17, 22, {1, 3, 3, 1, 15, 1, 59, 151, 469, 351, 671, 2925, 7207, 5061, 28691, 4363, 50767}},
+{5720, 17, 25, {1, 1, 5, 7, 11, 35, 67, 45, 193, 3, 627, 3333, 6497, 12307, 28807, 13997, 108645}},
+{5721, 17, 31, {1, 3, 1, 1, 17, 63, 125, 185, 485, 759, 717, 1993, 6707, 3993, 2181, 8173, 18057}},
+{5722, 17, 32, {1, 1, 3, 13, 7, 15, 113, 207, 103, 191, 1895, 2595, 3873, 12021, 19259, 12553, 119119}},
+{5723, 17, 42, {1, 3, 7, 1, 17, 11, 101, 209, 315, 9, 901, 2303, 7623, 7459, 26391, 45143, 5753}},
+{5724, 17, 52, {1, 1, 5, 15, 1, 5, 71, 155, 167, 89, 145, 3483, 2385, 15205, 9193, 20637, 58473}},
+{5725, 17, 61, {1, 1, 5, 7, 25, 55, 57, 51, 333, 299, 1721, 1667, 6513, 10191, 29405, 21923, 76593}},
+{5726, 17, 70, {1, 1, 5, 1, 7, 37, 107, 91, 241, 137, 627, 2749, 5573, 11243, 26197, 4545, 105599}},
+{5727, 17, 76, {1, 3, 1, 5, 25, 37, 73, 61, 57, 249, 1953, 1385, 6479, 3701, 10693, 617, 62535}},
+{5728, 17, 81, {1, 1, 1, 15, 5, 63, 41, 151, 395, 681, 227, 3027, 8123, 15091, 15475, 35671, 21129}},
+{5729, 17, 87, {1, 3, 5, 11, 29, 21, 15, 233, 103, 463, 1829, 2257, 1717, 2249, 9599, 5097, 55705}},
+{5730, 17, 93, {1, 3, 5, 1, 29, 3, 35, 151, 193, 105, 1107, 827, 7169, 1843, 15225, 29025, 43165}},
+{5731, 17, 98, {1, 1, 7, 15, 17, 51, 93, 199, 205, 41, 113, 1081, 1571, 11471, 11057, 16149, 66905}},
+{5732, 17, 122, {1, 1, 3, 11, 5, 25, 107, 195, 51, 675, 1683, 3739, 1653, 611, 23249, 53157, 127785}},
+{5733, 17, 133, {1, 1, 7, 5, 7, 3, 25, 145, 453, 735, 441, 77, 8171, 9281, 22749, 36973, 106237}},
+{5734, 17, 134, {1, 1, 3, 13, 13, 5, 95, 33, 223, 369, 453, 2031, 3531, 6931, 8977, 54109, 115487}},
+{5735, 17, 140, {1, 1, 7, 7, 1, 61, 33, 183, 245, 623, 529, 1831, 1867, 2845, 8311, 10143, 67897}},
+{5736, 17, 146, {1, 3, 7, 11, 27, 23, 93, 9, 61, 451, 67, 1695, 4227, 2415, 19249, 44765, 24611}},
+{5737, 17, 158, {1, 3, 3, 11, 29, 57, 65, 117, 349, 149, 363, 1095, 4989, 3071, 17519, 18079, 7277}},
+{5738, 17, 171, {1, 3, 5, 9, 1, 7, 59, 87, 307, 111, 1291, 789, 7361, 6477, 11229, 36785, 33303}},
+{5739, 17, 176, {1, 3, 5, 1, 19, 47, 53, 81, 127, 849, 1479, 1459, 1889, 15087, 22115, 20587, 121005}},
+{5740, 17, 179, {1, 1, 7, 15, 31, 31, 71, 55, 253, 927, 277, 2087, 1313, 3721, 22729, 34709, 9821}},
+{5741, 17, 182, {1, 3, 5, 13, 13, 63, 73, 41, 165, 315, 1907, 2005, 691, 725, 22685, 8673, 76011}},
+{5742, 17, 191, {1, 1, 5, 9, 23, 61, 47, 167, 279, 683, 683, 1261, 4037, 15251, 9421, 45359, 38001}},
+{5743, 17, 193, {1, 1, 7, 3, 17, 33, 69, 139, 235, 709, 1475, 2483, 7559, 8581, 23965, 31153, 5097}},
+{5744, 17, 224, {1, 1, 7, 15, 23, 61, 43, 5, 433, 531, 761, 2749, 2881, 5225, 13491, 16479, 50203}},
+{5745, 17, 227, {1, 1, 3, 9, 29, 7, 9, 23, 339, 315, 1723, 779, 2983, 6571, 16025, 63055, 111103}},
+{5746, 17, 229, {1, 1, 7, 13, 23, 55, 71, 121, 297, 193, 41, 3165, 4419, 5853, 28127, 56151, 16597}},
+{5747, 17, 236, {1, 1, 5, 7, 7, 23, 93, 11, 261, 297, 1769, 1239, 2579, 531, 4423, 7891, 21729}},
+{5748, 17, 248, {1, 3, 5, 1, 13, 35, 83, 85, 125, 887, 161, 3311, 7261, 9557, 28975, 28643, 21479}},
+{5749, 17, 262, {1, 3, 5, 3, 27, 5, 47, 175, 287, 867, 141, 3079, 7583, 4997, 18271, 24097, 96319}},
+{5750, 17, 273, {1, 3, 5, 1, 21, 51, 47, 67, 211, 281, 1861, 1169, 6403, 4229, 3995, 9921, 41515}},
+{5751, 17, 276, {1, 3, 3, 11, 23, 23, 81, 55, 441, 211, 169, 3197, 7213, 7205, 15, 11771, 129091}},
+{5752, 17, 280, {1, 3, 7, 3, 23, 39, 23, 163, 253, 1005, 1775, 3393, 7659, 8065, 30021, 61065, 35171}},
+{5753, 17, 283, {1, 3, 1, 1, 29, 29, 39, 143, 191, 711, 1077, 13, 4137, 15425, 11139, 1269, 71915}},
+{5754, 17, 290, {1, 3, 3, 5, 11, 41, 101, 127, 301, 335, 45, 2065, 5835, 7801, 2639, 5735, 63445}},
+{5755, 17, 309, {1, 3, 5, 9, 3, 39, 51, 53, 489, 663, 951, 3931, 3075, 753, 22179, 20573, 10775}},
+{5756, 17, 316, {1, 3, 3, 15, 13, 31, 1, 237, 79, 587, 395, 591, 607, 13105, 21301, 26829, 112181}},
+{5757, 17, 319, {1, 1, 7, 7, 5, 55, 31, 117, 247, 229, 247, 307, 3821, 6483, 31317, 22975, 40535}},
+{5758, 17, 321, {1, 3, 7, 15, 15, 59, 101, 17, 437, 373, 1727, 471, 2783, 7825, 24555, 58765, 5097}},
+{5759, 17, 328, {1, 1, 3, 9, 31, 27, 71, 147, 71, 871, 793, 2363, 3213, 13383, 29801, 53187, 70021}},
+{5760, 17, 346, {1, 3, 1, 1, 19, 47, 121, 61, 303, 565, 1371, 3703, 2201, 6835, 26041, 56039, 80227}},
+{5761, 17, 355, {1, 1, 5, 5, 3, 45, 91, 61, 257, 947, 1449, 4031, 4925, 8627, 11909, 9529, 3429}},
+{5762, 17, 367, {1, 1, 1, 7, 9, 63, 69, 233, 141, 361, 1443, 2157, 2877, 643, 2779, 8109, 126911}},
+{5763, 17, 369, {1, 1, 5, 1, 5, 3, 67, 157, 21, 1, 361, 35, 1475, 12877, 22169, 6653, 85005}},
+{5764, 17, 372, {1, 1, 7, 9, 25, 1, 7, 175, 47, 963, 405, 3955, 3905, 8429, 8483, 62037, 11323}},
+{5765, 17, 382, {1, 1, 5, 11, 29, 23, 77, 211, 319, 745, 1935, 2429, 1687, 2173, 1571, 19457, 117777}},
+{5766, 17, 388, {1, 1, 7, 5, 15, 57, 121, 189, 303, 79, 527, 1801, 71, 9857, 14197, 59007, 75341}},
+{5767, 17, 392, {1, 3, 3, 5, 25, 3, 19, 141, 155, 157, 287, 769, 5789, 8443, 31823, 1019, 79111}},
+{5768, 17, 395, {1, 1, 5, 11, 27, 27, 117, 141, 355, 1023, 869, 995, 6311, 6573, 11721, 1565, 35517}},
+{5769, 17, 397, {1, 1, 1, 9, 1, 33, 107, 51, 41, 889, 1191, 1055, 503, 14779, 6641, 58117, 74157}},
+{5770, 17, 403, {1, 1, 7, 5, 13, 39, 39, 33, 293, 75, 963, 3379, 1847, 12371, 9005, 38107, 69753}},
+{5771, 17, 409, {1, 1, 5, 5, 7, 37, 19, 241, 427, 635, 1711, 3835, 773, 10525, 17207, 1675, 127255}},
+{5772, 17, 410, {1, 1, 3, 7, 17, 19, 11, 113, 191, 947, 1133, 3173, 213, 10125, 1373, 56797, 111011}},
+{5773, 17, 425, {1, 3, 1, 1, 29, 45, 65, 237, 223, 695, 697, 3197, 6887, 8079, 22099, 12079, 54847}},
+{5774, 17, 443, {1, 3, 3, 7, 5, 47, 19, 215, 341, 863, 1879, 571, 7113, 2465, 23407, 52555, 44375}},
+{5775, 17, 472, {1, 3, 5, 11, 25, 31, 109, 73, 429, 553, 1905, 1753, 6733, 4433, 13785, 32041, 27115}},
+{5776, 17, 475, {1, 1, 1, 3, 27, 5, 97, 47, 343, 977, 1241, 721, 3355, 3559, 28349, 56389, 63103}},
+{5777, 17, 481, {1, 3, 3, 9, 21, 53, 57, 211, 73, 155, 1855, 715, 3179, 5963, 10061, 35141, 63131}},
+{5778, 17, 488, {1, 3, 1, 15, 21, 25, 51, 73, 31, 25, 1385, 637, 6585, 49, 2105, 6829, 9353}},
+{5779, 17, 493, {1, 1, 7, 5, 11, 55, 31, 69, 145, 637, 1131, 2175, 3547, 13031, 2131, 12361, 74737}},
+{5780, 17, 501, {1, 3, 3, 5, 31, 7, 119, 119, 309, 925, 895, 3813, 1131, 4765, 17865, 48707, 113577}},
+{5781, 17, 515, {1, 3, 3, 9, 13, 33, 127, 177, 323, 727, 1881, 775, 7329, 11881, 28309, 987, 116093}},
+{5782, 17, 522, {1, 1, 3, 5, 31, 55, 39, 41, 511, 157, 1655, 2991, 3633, 8521, 27049, 18771, 54015}},
+{5783, 17, 524, {1, 3, 5, 13, 11, 45, 113, 185, 375, 661, 1331, 4013, 5521, 1037, 23365, 30239, 76957}},
+{5784, 17, 527, {1, 3, 3, 7, 19, 7, 23, 17, 435, 913, 1985, 353, 6049, 7549, 3371, 60867, 41099}},
+{5785, 17, 535, {1, 3, 3, 15, 17, 9, 53, 127, 149, 849, 1181, 2237, 1345, 539, 19715, 26277, 125445}},
+{5786, 17, 542, {1, 1, 1, 3, 1, 9, 67, 79, 79, 795, 1793, 3167, 5917, 5323, 22043, 22007, 3917}},
+{5787, 17, 545, {1, 3, 5, 9, 15, 19, 59, 37, 141, 145, 413, 1095, 7709, 669, 27061, 40171, 101499}},
+{5788, 17, 555, {1, 3, 1, 1, 9, 49, 109, 7, 119, 861, 875, 1049, 4125, 6113, 15699, 6105, 48799}},
+{5789, 17, 558, {1, 1, 3, 9, 11, 29, 43, 175, 371, 357, 1181, 3933, 43, 4559, 10333, 23603, 83095}},
+{5790, 17, 560, {1, 3, 3, 9, 9, 7, 57, 61, 409, 143, 591, 761, 4107, 8117, 1051, 4471, 91771}},
+{5791, 17, 563, {1, 1, 3, 11, 3, 53, 119, 21, 213, 219, 51, 3491, 7143, 937, 24693, 3211, 99463}},
+{5792, 17, 570, {1, 1, 3, 3, 1, 47, 53, 153, 211, 523, 1637, 3351, 3753, 12489, 31825, 27613, 96431}},
+{5793, 17, 578, {1, 1, 5, 15, 23, 57, 81, 231, 147, 9, 1043, 3157, 1463, 4835, 22435, 57407, 59615}},
+{5794, 17, 583, {1, 3, 3, 13, 15, 63, 111, 5, 449, 957, 1175, 2887, 7741, 8975, 28775, 4067, 69283}},
+{5795, 17, 590, {1, 3, 1, 1, 5, 61, 109, 211, 349, 179, 951, 153, 3147, 7555, 27037, 59829, 16077}},
+{5796, 17, 597, {1, 3, 3, 7, 15, 33, 53, 61, 309, 991, 227, 3437, 3983, 14559, 13065, 46387, 49105}},
+{5797, 17, 604, {1, 3, 5, 3, 25, 23, 97, 139, 315, 601, 1179, 1083, 6799, 1813, 15511, 60433, 65641}},
+{5798, 17, 608, {1, 1, 7, 1, 11, 43, 87, 87, 173, 161, 91, 3011, 1869, 2313, 13691, 3509, 39433}},
+{5799, 17, 614, {1, 3, 5, 7, 15, 5, 39, 251, 269, 819, 815, 2283, 5635, 6953, 27017, 65143, 45281}},
+{5800, 17, 635, {1, 3, 7, 9, 1, 37, 9, 57, 467, 37, 1743, 4031, 3751, 8105, 23789, 46847, 21911}},
+{5801, 17, 637, {1, 1, 7, 1, 23, 47, 63, 99, 59, 951, 1837, 2829, 161, 857, 4045, 9945, 53487}},
+{5802, 17, 653, {1, 3, 7, 7, 11, 47, 43, 99, 279, 945, 1189, 2091, 4597, 183, 15527, 7151, 112403}},
+{5803, 17, 654, {1, 3, 3, 15, 9, 53, 63, 135, 119, 95, 131, 2461, 157, 10631, 20847, 51699, 58865}},
+{5804, 17, 659, {1, 1, 3, 1, 25, 3, 115, 29, 303, 361, 1529, 3993, 5899, 11501, 4463, 47121, 75333}},
+{5805, 17, 666, {1, 3, 1, 15, 9, 39, 31, 199, 305, 279, 15, 611, 561, 6593, 3189, 1863, 61875}},
+{5806, 17, 671, {1, 3, 5, 15, 5, 49, 87, 17, 87, 5, 1179, 1351, 7647, 7529, 15901, 30351, 31959}},
+{5807, 17, 689, {1, 3, 3, 9, 31, 57, 127, 239, 349, 773, 547, 2649, 1309, 8071, 10741, 57645, 14423}},
+{5808, 17, 690, {1, 1, 5, 9, 5, 15, 59, 185, 315, 411, 1425, 3905, 853, 12393, 21, 15195, 114291}},
+{5809, 17, 695, {1, 3, 1, 5, 29, 47, 19, 203, 319, 673, 1169, 2413, 5295, 6251, 19883, 2725, 28937}},
+{5810, 17, 713, {1, 3, 1, 5, 21, 55, 19, 185, 103, 827, 117, 341, 3315, 5625, 345, 63845, 49081}},
+{5811, 17, 722, {1, 1, 7, 9, 27, 51, 105, 15, 243, 735, 1221, 1641, 293, 14423, 5363, 60873, 66223}},
+{5812, 17, 733, {1, 1, 5, 1, 19, 5, 109, 131, 131, 67, 231, 2907, 4389, 5079, 20503, 59045, 33625}},
+{5813, 17, 758, {1, 3, 1, 5, 5, 15, 79, 67, 287, 225, 519, 1543, 2389, 671, 7767, 62625, 61639}},
+{5814, 17, 770, {1, 1, 1, 9, 25, 35, 83, 15, 291, 207, 1757, 3691, 5669, 11255, 27939, 57813, 46251}},
+{5815, 17, 782, {1, 3, 1, 1, 29, 3, 83, 109, 323, 179, 1855, 3205, 7665, 16201, 13863, 16347, 98977}},
+{5816, 17, 784, {1, 3, 1, 13, 17, 1, 101, 183, 153, 985, 125, 999, 855, 15897, 19491, 8953, 23277}},
+{5817, 17, 793, {1, 1, 7, 11, 9, 33, 45, 229, 411, 155, 537, 3037, 1785, 11719, 8589, 16617, 47339}},
+{5818, 17, 803, {1, 1, 5, 5, 9, 11, 7, 163, 305, 621, 1647, 2609, 7901, 14421, 23447, 1205, 52681}},
+{5819, 17, 805, {1, 3, 3, 1, 7, 29, 39, 227, 419, 561, 129, 3299, 3123, 4243, 18689, 12335, 71783}},
+{5820, 17, 812, {1, 3, 1, 9, 11, 61, 65, 207, 123, 763, 485, 1943, 3617, 415, 22397, 58597, 128017}},
+{5821, 17, 838, {1, 1, 5, 13, 25, 43, 115, 73, 269, 137, 1765, 705, 1705, 16137, 22751, 60021, 4333}},
+{5822, 17, 849, {1, 1, 5, 13, 3, 57, 9, 141, 75, 695, 597, 3435, 1085, 4905, 19625, 16061, 12111}},
+{5823, 17, 875, {1, 1, 5, 9, 29, 13, 119, 251, 353, 421, 1955, 3503, 2605, 2587, 12503, 46419, 128815}},
+{5824, 17, 877, {1, 3, 5, 7, 7, 29, 67, 25, 37, 327, 1607, 1899, 1691, 5801, 17441, 9755, 24993}},
+{5825, 17, 880, {1, 1, 3, 11, 17, 29, 121, 201, 371, 597, 213, 2361, 6615, 169, 24801, 56175, 129241}},
+{5826, 17, 892, {1, 3, 5, 1, 31, 63, 85, 77, 151, 599, 103, 677, 4431, 12897, 6373, 40349, 100819}},
+{5827, 17, 895, {1, 3, 5, 9, 25, 9, 119, 219, 379, 939, 1907, 945, 5819, 7433, 32519, 56493, 50441}},
+{5828, 17, 899, {1, 1, 3, 9, 13, 1, 63, 189, 135, 839, 1821, 2247, 2547, 965, 6847, 63335, 32921}},
+{5829, 17, 919, {1, 3, 5, 13, 21, 25, 111, 37, 319, 469, 1999, 1637, 8167, 2641, 24615, 63713, 115923}},
+{5830, 17, 920, {1, 3, 5, 9, 9, 27, 1, 63, 275, 223, 1675, 3833, 7377, 9755, 6279, 37161, 108805}},
+{5831, 17, 932, {1, 3, 3, 13, 29, 23, 21, 73, 401, 863, 701, 2527, 4557, 5549, 22493, 6651, 39167}},
+{5832, 17, 935, {1, 1, 3, 15, 25, 21, 97, 25, 83, 925, 2029, 3789, 3241, 7617, 13699, 31123, 124619}},
+{5833, 17, 936, {1, 3, 7, 5, 23, 7, 95, 227, 123, 215, 359, 2099, 4505, 8477, 32665, 18211, 99679}},
+{5834, 17, 941, {1, 3, 1, 9, 11, 57, 75, 17, 105, 175, 831, 1033, 5425, 8419, 16163, 23901, 33889}},
+{5835, 17, 950, {1, 1, 7, 1, 17, 49, 71, 23, 129, 413, 333, 2547, 4627, 14961, 16745, 53649, 73059}},
+{5836, 17, 961, {1, 3, 5, 3, 13, 33, 121, 147, 443, 187, 1949, 319, 8141, 14359, 11203, 53569, 70415}},
+{5837, 17, 962, {1, 3, 1, 11, 15, 1, 23, 29, 509, 985, 1217, 3755, 385, 3697, 24631, 37619, 62435}},
+{5838, 17, 971, {1, 3, 3, 3, 17, 11, 107, 37, 227, 913, 259, 2799, 3249, 2347, 9703, 52741, 101187}},
+{5839, 17, 982, {1, 1, 5, 13, 25, 25, 47, 77, 405, 415, 1947, 1675, 5079, 1333, 10059, 32033, 88975}},
+{5840, 17, 986, {1, 3, 5, 9, 27, 7, 19, 241, 445, 205, 333, 285, 7997, 6339, 29643, 10229, 29965}},
+{5841, 17, 1012, {1, 3, 5, 11, 17, 9, 91, 223, 173, 1013, 779, 3967, 781, 5471, 4309, 24795, 99203}},
+{5842, 17, 1021, {1, 1, 1, 3, 19, 53, 7, 159, 351, 515, 223, 3375, 1, 4985, 16729, 43333, 85917}},
+{5843, 17, 1024, {1, 3, 3, 1, 19, 35, 95, 69, 19, 157, 1177, 579, 7109, 3499, 3219, 26641, 49491}},
+{5844, 17, 1029, {1, 3, 3, 5, 25, 21, 125, 5, 39, 857, 615, 2925, 2005, 5503, 25523, 36711, 30939}},
+{5845, 17, 1030, {1, 3, 1, 5, 11, 33, 29, 5, 425, 125, 939, 1641, 321, 1023, 12551, 4587, 116617}},
+{5846, 17, 1051, {1, 3, 3, 13, 9, 59, 93, 137, 103, 517, 1555, 13, 7965, 13629, 14339, 37425, 65891}},
+{5847, 17, 1054, {1, 3, 7, 1, 31, 31, 87, 237, 365, 951, 267, 2019, 5085, 6133, 29371, 50319, 94313}},
+{5848, 17, 1064, {1, 3, 5, 7, 17, 19, 23, 225, 501, 189, 1291, 603, 6873, 8633, 11425, 30565, 26355}},
+{5849, 17, 1067, {1, 3, 7, 11, 23, 17, 91, 111, 415, 225, 1287, 2081, 4683, 12069, 3627, 32281, 17995}},
+{5850, 17, 1082, {1, 1, 5, 15, 25, 59, 75, 203, 179, 405, 1711, 3147, 7483, 5583, 3729, 11765, 61019}},
+{5851, 17, 1096, {1, 3, 3, 9, 3, 43, 65, 7, 269, 33, 829, 1789, 967, 13119, 26329, 16937, 18533}},
+{5852, 17, 1116, {1, 1, 3, 15, 11, 39, 73, 11, 31, 143, 1913, 1227, 1363, 11831, 28687, 50489, 106373}},
+{5853, 17, 1119, {1, 1, 3, 3, 25, 19, 15, 11, 349, 1011, 421, 3193, 3665, 6149, 20729, 6997, 51437}},
+{5854, 17, 1129, {1, 3, 5, 9, 13, 63, 73, 55, 417, 223, 1753, 2913, 4809, 3947, 10769, 5751, 93867}},
+{5855, 17, 1130, {1, 3, 7, 13, 31, 39, 39, 133, 483, 839, 1137, 3303, 7285, 4309, 24079, 60529, 103337}},
+{5856, 17, 1132, {1, 1, 3, 7, 1, 55, 3, 253, 435, 589, 1949, 1461, 513, 381, 29455, 4263, 16831}},
+{5857, 17, 1137, {1, 1, 1, 15, 25, 19, 77, 101, 299, 187, 1021, 1533, 8021, 4165, 2277, 18927, 110439}},
+{5858, 17, 1147, {1, 1, 1, 11, 9, 35, 71, 159, 409, 527, 15, 4073, 5749, 8563, 2503, 53015, 111581}},
+{5859, 17, 1150, {1, 1, 7, 5, 21, 47, 113, 23, 477, 559, 543, 409, 4701, 11479, 30761, 8373, 87777}},
+{5860, 17, 1154, {1, 3, 5, 13, 9, 27, 25, 137, 81, 37, 799, 857, 3539, 4471, 15753, 59015, 48589}},
+{5861, 17, 1165, {1, 1, 3, 7, 11, 57, 103, 83, 209, 71, 193, 3251, 4839, 13959, 32009, 6471, 23631}},
+{5862, 17, 1166, {1, 1, 7, 11, 25, 33, 85, 31, 371, 253, 1667, 1627, 6159, 10039, 15177, 52121, 39475}},
+{5863, 17, 1174, {1, 1, 5, 9, 13, 55, 37, 13, 95, 113, 1895, 1525, 1907, 6361, 5863, 27767, 108143}},
+{5864, 17, 1177, {1, 1, 3, 13, 21, 5, 53, 39, 485, 171, 1355, 2117, 3127, 6467, 31697, 45343, 111477}},
+{5865, 17, 1184, {1, 1, 7, 15, 13, 57, 11, 231, 329, 703, 1823, 2983, 215, 2835, 19719, 56637, 126169}},
+{5866, 17, 1194, {1, 3, 5, 15, 13, 51, 13, 173, 301, 867, 127, 2391, 2795, 4945, 13293, 49947, 10765}},
+{5867, 17, 1204, {1, 3, 3, 9, 23, 5, 29, 165, 467, 599, 1181, 3213, 4069, 5473, 8937, 51495, 42611}},
+{5868, 17, 1208, {1, 1, 7, 15, 5, 5, 31, 125, 397, 519, 1465, 115, 7877, 7025, 14213, 50343, 85827}},
+{5869, 17, 1213, {1, 3, 7, 3, 25, 59, 95, 103, 101, 347, 95, 3, 1251, 15109, 12615, 7511, 56789}},
+{5870, 17, 1219, {1, 3, 5, 9, 13, 59, 71, 19, 107, 73, 345, 3177, 6519, 2407, 18033, 31075, 113185}},
+{5871, 17, 1233, {1, 1, 1, 3, 27, 37, 5, 219, 169, 149, 355, 549, 1811, 11351, 22627, 53931, 88619}},
+{5872, 17, 1264, {1, 3, 1, 3, 27, 7, 9, 97, 399, 947, 1393, 3917, 5439, 15845, 19465, 30123, 69099}},
+{5873, 17, 1267, {1, 1, 7, 9, 13, 25, 107, 45, 111, 409, 967, 3359, 2499, 1703, 20763, 45187, 16265}},
+{5874, 17, 1281, {1, 1, 1, 13, 5, 49, 43, 249, 49, 947, 597, 1773, 2387, 2693, 15297, 57969, 53385}},
+{5875, 17, 1312, {1, 1, 7, 15, 27, 25, 27, 121, 421, 781, 143, 817, 7335, 14211, 139, 55601, 56671}},
+{5876, 17, 1321, {1, 3, 1, 5, 29, 47, 77, 23, 413, 931, 785, 1221, 769, 13131, 26955, 56441, 85745}},
+{5877, 17, 1330, {1, 1, 1, 11, 27, 3, 53, 21, 467, 43, 1533, 1053, 691, 6369, 8325, 51087, 71261}},
+{5878, 17, 1332, {1, 1, 3, 15, 7, 9, 43, 225, 293, 143, 1049, 3095, 6119, 3165, 9913, 26023, 62657}},
+{5879, 17, 1335, {1, 3, 7, 9, 11, 39, 99, 193, 217, 941, 259, 3811, 6757, 281, 10377, 46961, 48949}},
+{5880, 17, 1341, {1, 1, 1, 1, 25, 1, 99, 61, 495, 861, 2013, 487, 2821, 12921, 30111, 27213, 97363}},
+{5881, 17, 1356, {1, 1, 5, 9, 23, 33, 103, 237, 161, 721, 2021, 159, 995, 475, 20615, 30961, 31767}},
+{5882, 17, 1371, {1, 3, 1, 1, 5, 59, 63, 139, 451, 789, 1285, 655, 5501, 273, 21061, 35937, 20811}},
+{5883, 17, 1377, {1, 3, 3, 9, 9, 15, 121, 233, 287, 929, 1605, 1243, 417, 1695, 29903, 28699, 85981}},
+{5884, 17, 1380, {1, 3, 3, 5, 7, 25, 27, 253, 469, 255, 285, 2467, 4897, 4079, 29759, 50351, 76451}},
+{5885, 17, 1384, {1, 1, 3, 3, 5, 33, 29, 209, 291, 967, 1429, 1953, 5957, 14065, 8875, 32675, 4629}},
+{5886, 17, 1395, {1, 3, 5, 9, 7, 31, 97, 21, 177, 485, 1115, 4051, 6683, 7761, 30181, 37531, 51789}},
+{5887, 17, 1397, {1, 1, 7, 3, 25, 51, 23, 183, 57, 699, 1245, 2519, 2783, 4457, 6381, 43199, 40071}},
+{5888, 17, 1411, {1, 3, 5, 5, 19, 55, 45, 101, 299, 461, 1009, 319, 7335, 7769, 5479, 61113, 7937}},
+{5889, 17, 1414, {1, 1, 7, 3, 29, 21, 55, 55, 437, 771, 363, 683, 4299, 15569, 13813, 40663, 86285}},
+{5890, 17, 1426, {1, 1, 1, 13, 31, 35, 93, 175, 451, 387, 1145, 3367, 3833, 13495, 11019, 48925, 85721}},
+{5891, 17, 1432, {1, 1, 7, 15, 31, 21, 55, 205, 117, 895, 535, 2627, 1473, 10779, 24493, 42999, 130805}},
+{5892, 17, 1435, {1, 1, 3, 13, 27, 11, 45, 37, 193, 237, 1505, 1405, 3613, 9565, 3037, 53643, 85211}},
+{5893, 17, 1437, {1, 1, 3, 13, 9, 17, 19, 27, 117, 503, 65, 1033, 7891, 4005, 9229, 20999, 96601}},
+{5894, 17, 1442, {1, 3, 3, 5, 17, 3, 71, 79, 145, 985, 935, 3997, 6239, 12511, 13895, 65031, 126383}},
+{5895, 17, 1454, {1, 1, 5, 1, 23, 55, 3, 105, 71, 243, 1479, 111, 7103, 10753, 26193, 35833, 14583}},
+{5896, 17, 1468, {1, 3, 3, 3, 15, 3, 73, 125, 267, 29, 1775, 1437, 8091, 10891, 25731, 54381, 12821}},
+{5897, 17, 1473, {1, 1, 1, 3, 23, 15, 67, 123, 401, 347, 807, 1097, 31, 11209, 8727, 58149, 129099}},
+{5898, 17, 1488, {1, 3, 3, 7, 7, 61, 49, 129, 423, 535, 135, 3587, 233, 4509, 23209, 59203, 41297}},
+{5899, 17, 1491, {1, 3, 1, 7, 5, 29, 65, 31, 335, 855, 835, 1421, 3081, 14219, 16321, 48269, 41603}},
+{5900, 17, 1509, {1, 1, 1, 13, 3, 21, 5, 117, 163, 603, 1519, 3789, 7873, 10981, 4615, 9165, 83929}},
+{5901, 17, 1524, {1, 3, 5, 11, 15, 21, 75, 151, 193, 757, 647, 1603, 333, 10515, 22771, 55459, 3315}},
+{5902, 17, 1533, {1, 1, 7, 1, 27, 3, 63, 197, 271, 175, 1599, 2119, 1031, 8671, 10893, 35641, 94535}},
+{5903, 17, 1555, {1, 1, 1, 15, 1, 59, 93, 17, 5, 213, 1663, 941, 435, 8107, 1963, 34951, 106181}},
+{5904, 17, 1567, {1, 1, 5, 11, 13, 35, 111, 97, 267, 737, 2023, 1301, 7407, 11249, 31785, 31933, 20673}},
+{5905, 17, 1571, {1, 3, 3, 15, 5, 15, 29, 63, 189, 687, 27, 2005, 7129, 11377, 23175, 42389, 30933}},
+{5906, 17, 1586, {1, 1, 1, 9, 13, 63, 7, 155, 67, 291, 1419, 755, 2623, 4749, 22971, 7545, 55711}},
+{5907, 17, 1592, {1, 3, 7, 7, 23, 29, 83, 151, 213, 201, 157, 3051, 6553, 6401, 15931, 47941, 22869}},
+{5908, 17, 1595, {1, 3, 5, 5, 7, 45, 33, 155, 225, 25, 49, 2419, 4241, 6835, 11401, 50725, 118343}},
+{5909, 17, 1600, {1, 1, 3, 13, 31, 27, 37, 41, 19, 375, 1771, 1789, 2313, 2577, 12615, 22715, 22179}},
+{5910, 17, 1606, {1, 3, 1, 11, 17, 53, 55, 229, 235, 837, 143, 3583, 2789, 5471, 6515, 44565, 8619}},
+{5911, 17, 1627, {1, 1, 5, 15, 5, 17, 23, 95, 217, 551, 353, 27, 3973, 2547, 27903, 50611, 72277}},
+{5912, 17, 1648, {1, 1, 3, 7, 5, 13, 41, 111, 157, 215, 1327, 3073, 1871, 11875, 24239, 40527, 97637}},
+{5913, 17, 1651, {1, 3, 1, 1, 29, 63, 111, 187, 369, 395, 1197, 3229, 4353, 14715, 29671, 50503, 89321}},
+{5914, 17, 1654, {1, 3, 1, 1, 5, 63, 11, 39, 171, 209, 463, 3421, 3451, 4453, 14397, 2219, 98261}},
+{5915, 17, 1667, {1, 3, 3, 5, 1, 1, 13, 101, 67, 815, 1521, 1543, 7221, 7337, 10765, 30029, 47881}},
+{5916, 17, 1669, {1, 1, 5, 7, 9, 9, 33, 197, 439, 893, 961, 11, 4319, 14265, 24839, 33581, 35531}},
+{5917, 17, 1674, {1, 3, 3, 15, 29, 35, 43, 229, 313, 369, 955, 1069, 2939, 12623, 20373, 1533, 9105}},
+{5918, 17, 1687, {1, 3, 1, 7, 21, 7, 127, 243, 103, 353, 859, 3789, 4369, 12063, 22369, 14531, 94289}},
+{5919, 17, 1698, {1, 3, 5, 15, 1, 27, 65, 127, 229, 99, 627, 2693, 7173, 7305, 29971, 7097, 10113}},
+{5920, 17, 1710, {1, 1, 5, 15, 3, 47, 61, 29, 155, 725, 1727, 2667, 7003, 16277, 21983, 21365, 129365}},
+{5921, 17, 1717, {1, 1, 5, 7, 27, 61, 115, 133, 137, 661, 1201, 2151, 367, 3567, 12885, 62143, 53955}},
+{5922, 17, 1722, {1, 1, 1, 11, 9, 41, 113, 103, 469, 687, 1541, 3679, 6833, 10493, 32747, 39909, 121445}},
+{5923, 17, 1735, {1, 1, 7, 5, 5, 5, 91, 91, 5, 405, 529, 3999, 6783, 2387, 16621, 12919, 8659}},
+{5924, 17, 1741, {1, 1, 7, 13, 21, 47, 125, 155, 83, 913, 1833, 4027, 6657, 7031, 31231, 58201, 88943}},
+{5925, 17, 1749, {1, 3, 7, 3, 17, 55, 25, 29, 181, 205, 1173, 1081, 6475, 5037, 18461, 22487, 114131}},
+{5926, 17, 1750, {1, 1, 7, 7, 25, 63, 101, 103, 171, 191, 1863, 3441, 2515, 14179, 30123, 19145, 31669}},
+{5927, 17, 1769, {1, 3, 7, 11, 29, 49, 73, 163, 415, 821, 1809, 723, 7049, 14565, 4829, 19395, 61131}},
+{5928, 17, 1775, {1, 1, 7, 9, 5, 25, 103, 167, 381, 757, 813, 471, 3021, 6619, 20929, 38133, 129505}},
+{5929, 17, 1777, {1, 1, 5, 13, 25, 61, 59, 199, 257, 999, 169, 3289, 7181, 2049, 2185, 39045, 102703}},
+{5930, 17, 1778, {1, 1, 3, 1, 21, 1, 111, 125, 289, 33, 701, 3491, 5569, 8055, 23149, 26793, 102563}},
+{5931, 17, 1792, {1, 1, 7, 3, 25, 15, 105, 235, 307, 201, 1947, 699, 2519, 10615, 29345, 17061, 112949}},
+{5932, 17, 1797, {1, 3, 3, 15, 19, 1, 93, 173, 399, 13, 269, 1189, 523, 5145, 32731, 54087, 94123}},
+{5933, 17, 1802, {1, 3, 1, 15, 9, 41, 59, 79, 217, 833, 1993, 2429, 3599, 6919, 30911, 12615, 67947}},
+{5934, 17, 1822, {1, 3, 3, 13, 31, 9, 95, 37, 343, 955, 1363, 3851, 4091, 13165, 15241, 14853, 35747}},
+{5935, 17, 1825, {1, 1, 3, 5, 27, 39, 37, 217, 385, 473, 1997, 2247, 7353, 1503, 9003, 15055, 27289}},
+{5936, 17, 1831, {1, 3, 7, 11, 1, 13, 21, 243, 375, 91, 1295, 1661, 203, 15251, 15355, 16065, 24183}},
+{5937, 17, 1838, {1, 3, 1, 13, 11, 45, 85, 5, 275, 741, 1395, 4011, 7987, 16087, 24113, 50555, 128147}},
+{5938, 17, 1852, {1, 1, 1, 7, 3, 11, 13, 189, 55, 151, 395, 657, 807, 11973, 26297, 13043, 109641}},
+{5939, 17, 1855, {1, 1, 7, 13, 31, 19, 33, 235, 491, 647, 1115, 2299, 6381, 7525, 2237, 36197, 126457}},
+{5940, 17, 1860, {1, 3, 5, 1, 21, 15, 53, 231, 77, 347, 969, 141, 4501, 9429, 1815, 50887, 74581}},
+{5941, 17, 1867, {1, 1, 1, 9, 29, 43, 47, 103, 327, 131, 927, 441, 7517, 7277, 21065, 409, 50351}},
+{5942, 17, 1869, {1, 1, 5, 1, 11, 13, 103, 157, 239, 69, 1347, 477, 5017, 9723, 28133, 65135, 12359}},
+{5943, 17, 1875, {1, 1, 1, 13, 17, 63, 117, 189, 323, 565, 927, 1727, 5337, 13243, 5739, 31241, 14209}},
+{5944, 17, 1882, {1, 1, 3, 9, 29, 9, 103, 61, 467, 217, 1367, 2405, 5355, 5743, 31469, 30149, 98775}},
+{5945, 17, 1903, {1, 1, 1, 15, 23, 23, 17, 229, 103, 583, 179, 115, 7081, 9437, 32623, 62639, 72391}},
+{5946, 17, 1908, {1, 1, 5, 11, 11, 39, 97, 209, 115, 107, 593, 2347, 1445, 6179, 32011, 8435, 65847}},
+{5947, 17, 1917, {1, 3, 7, 3, 29, 27, 55, 111, 27, 731, 995, 1871, 5017, 1485, 11313, 2559, 6561}},
+{5948, 17, 1927, {1, 3, 1, 3, 27, 9, 103, 247, 83, 197, 517, 1629, 2189, 7255, 183, 35111, 15077}},
+{5949, 17, 1941, {1, 3, 7, 5, 31, 37, 87, 223, 343, 331, 1361, 3371, 2007, 13235, 10897, 63839, 109837}},
+{5950, 17, 1945, {1, 1, 7, 11, 17, 5, 41, 197, 489, 625, 1595, 2663, 5941, 14029, 30999, 16781, 116001}},
+{5951, 17, 1948, {1, 3, 3, 7, 19, 19, 61, 175, 125, 609, 1391, 147, 3001, 4189, 10133, 24031, 46219}},
+{5952, 17, 1962, {1, 1, 3, 13, 13, 57, 117, 181, 299, 939, 583, 3151, 829, 6561, 30449, 12211, 107879}},
+{5953, 17, 1975, {1, 1, 5, 11, 23, 45, 87, 115, 259, 613, 1001, 171, 57, 13789, 22173, 56837, 26263}},
+{5954, 17, 1976, {1, 1, 3, 3, 7, 43, 45, 131, 87, 251, 1411, 2737, 2739, 4595, 12561, 12043, 82885}},
+{5955, 17, 1987, {1, 3, 3, 7, 19, 39, 87, 223, 461, 37, 283, 3937, 6193, 10887, 11509, 41131, 38359}},
+{5956, 17, 1993, {1, 3, 1, 11, 11, 37, 25, 133, 105, 1013, 925, 3301, 239, 16295, 4831, 8649, 125767}},
+{5957, 17, 2004, {1, 3, 3, 11, 25, 11, 41, 155, 1, 717, 1587, 635, 279, 1803, 14817, 28669, 88835}},
+{5958, 17, 2020, {1, 3, 3, 11, 29, 17, 39, 51, 13, 871, 1197, 2561, 6671, 8465, 22709, 15933, 15923}},
+{5959, 17, 2029, {1, 3, 7, 1, 13, 17, 57, 43, 267, 261, 901, 241, 3767, 15053, 11017, 36321, 72497}},
+{5960, 17, 2030, {1, 3, 1, 15, 23, 13, 17, 63, 171, 919, 1387, 2673, 7605, 8523, 14807, 21187, 56057}},
+{5961, 17, 2038, {1, 3, 7, 15, 23, 41, 85, 95, 53, 629, 1877, 3167, 2411, 9619, 24621, 31213, 30069}},
+{5962, 17, 2041, {1, 1, 5, 3, 3, 25, 99, 39, 321, 549, 599, 1279, 2401, 2335, 8227, 59429, 94549}},
+{5963, 17, 2048, {1, 3, 3, 11, 9, 21, 29, 55, 477, 19, 1275, 29, 2253, 11421, 30401, 57059, 93219}},
+{5964, 17, 2054, {1, 1, 7, 1, 27, 13, 117, 249, 463, 769, 281, 515, 7467, 11507, 1621, 39765, 31109}},
+{5965, 17, 2057, {1, 3, 5, 7, 19, 7, 77, 107, 23, 895, 1013, 2701, 3805, 7327, 27247, 6119, 102395}},
+{5966, 17, 2058, {1, 1, 3, 13, 21, 49, 99, 15, 163, 641, 1703, 3061, 163, 4265, 32571, 13957, 75005}},
+{5967, 17, 2068, {1, 1, 5, 11, 27, 17, 87, 169, 427, 959, 361, 1023, 5727, 16279, 1099, 39081, 67215}},
+{5968, 17, 2072, {1, 3, 3, 9, 23, 13, 1, 91, 173, 325, 1881, 1385, 8023, 935, 9221, 19673, 36949}},
+{5969, 17, 2075, {1, 3, 1, 7, 7, 25, 119, 189, 107, 249, 811, 973, 6499, 101, 11281, 55227, 32361}},
+{5970, 17, 2077, {1, 1, 5, 13, 19, 37, 117, 95, 463, 587, 1419, 445, 4019, 7257, 29757, 50773, 52247}},
+{5971, 17, 2082, {1, 1, 1, 1, 17, 57, 81, 57, 43, 789, 1035, 625, 1707, 9683, 3681, 12411, 110623}},
+{5972, 17, 2084, {1, 1, 7, 5, 7, 57, 49, 91, 459, 513, 1869, 3377, 139, 10037, 24091, 54247, 41279}},
+{5973, 17, 2087, {1, 3, 3, 9, 9, 33, 29, 51, 355, 415, 1907, 809, 6543, 349, 18507, 12919, 41667}},
+{5974, 17, 2101, {1, 1, 5, 11, 3, 17, 73, 201, 121, 909, 1623, 799, 3271, 9051, 5717, 15169, 127861}},
+{5975, 17, 2111, {1, 1, 7, 7, 23, 31, 1, 155, 475, 87, 2001, 2459, 1285, 5931, 6803, 56757, 71671}},
+{5976, 17, 2113, {1, 1, 5, 13, 5, 1, 21, 109, 263, 841, 723, 1539, 7529, 433, 23721, 33195, 57001}},
+{5977, 17, 2119, {1, 3, 3, 13, 29, 55, 105, 231, 405, 265, 671, 351, 4693, 9033, 21963, 52073, 125131}},
+{5978, 17, 2147, {1, 3, 1, 13, 25, 51, 55, 227, 245, 983, 251, 2553, 2017, 1381, 31461, 3953, 75775}},
+{5979, 17, 2154, {1, 1, 1, 11, 31, 11, 91, 91, 287, 749, 1019, 4055, 3237, 6965, 14765, 1663, 82987}},
+{5980, 17, 2161, {1, 1, 7, 3, 11, 15, 67, 161, 79, 729, 1115, 3713, 2715, 9361, 9365, 26093, 63409}},
+{5981, 17, 2164, {1, 3, 1, 7, 1, 51, 125, 15, 457, 433, 405, 2329, 157, 4817, 25867, 38177, 45319}},
+{5982, 17, 2177, {1, 3, 7, 9, 25, 57, 5, 233, 481, 781, 1313, 3179, 7219, 8717, 14825, 16079, 127149}},
+{5983, 17, 2178, {1, 1, 7, 15, 27, 51, 5, 65, 77, 313, 1751, 1489, 4307, 10541, 11345, 52577, 18143}},
+{5984, 17, 2184, {1, 1, 1, 15, 21, 5, 113, 71, 411, 327, 1681, 1023, 5661, 15815, 5387, 10351, 21121}},
+{5985, 17, 2198, {1, 1, 5, 5, 29, 55, 25, 255, 69, 879, 501, 1915, 3731, 633, 12197, 5249, 31129}},
+{5986, 17, 2201, {1, 3, 5, 7, 3, 23, 107, 163, 485, 853, 359, 3069, 4353, 371, 6027, 53239, 105541}},
+{5987, 17, 2213, {1, 3, 5, 15, 7, 41, 9, 47, 33, 327, 621, 147, 577, 29, 14623, 3403, 9791}},
+{5988, 17, 2217, {1, 3, 3, 15, 29, 47, 41, 149, 477, 127, 573, 877, 3101, 5963, 28457, 14231, 67425}},
+{5989, 17, 2228, {1, 1, 1, 15, 31, 7, 55, 191, 101, 259, 1071, 219, 2233, 3583, 21969, 32745, 80529}},
+{5990, 17, 2240, {1, 3, 7, 13, 17, 53, 115, 69, 241, 71, 1475, 191, 509, 3721, 15537, 53773, 18005}},
+{5991, 17, 2245, {1, 1, 3, 9, 5, 57, 13, 95, 103, 871, 2043, 2239, 7833, 10727, 6513, 55273, 3781}},
+{5992, 17, 2250, {1, 1, 5, 5, 9, 11, 55, 151, 239, 537, 135, 2779, 7393, 15393, 11097, 58593, 100745}},
+{5993, 17, 2263, {1, 1, 1, 9, 15, 39, 29, 105, 441, 181, 1113, 2125, 8145, 11045, 6589, 33603, 83377}},
+{5994, 17, 2267, {1, 3, 1, 1, 11, 63, 69, 153, 225, 845, 675, 407, 4691, 13383, 27359, 38881, 5509}},
+{5995, 17, 2285, {1, 3, 7, 11, 23, 31, 69, 3, 41, 57, 683, 887, 6861, 12161, 14537, 27293, 113001}},
+{5996, 17, 2286, {1, 1, 1, 11, 5, 1, 101, 175, 437, 3, 1477, 1005, 6607, 7429, 7213, 4025, 66479}},
+{5997, 17, 2291, {1, 1, 7, 5, 19, 7, 99, 131, 273, 977, 1717, 3831, 175, 5673, 12577, 36787, 30945}},
+{5998, 17, 2298, {1, 3, 1, 1, 15, 37, 105, 195, 61, 869, 255, 2625, 7401, 9361, 13217, 52811, 130811}},
+{5999, 17, 2306, {1, 3, 5, 3, 29, 27, 105, 23, 511, 813, 1311, 2859, 1647, 1949, 1329, 27589, 125209}},
+{6000, 17, 2325, {1, 3, 3, 1, 21, 11, 119, 247, 123, 401, 409, 1845, 2133, 10793, 221, 43217, 14069}},
+{6001, 17, 2329, {1, 1, 5, 1, 29, 21, 51, 73, 501, 861, 725, 249, 4249, 8029, 15767, 11985, 18637}},
+{6002, 17, 2332, {1, 1, 5, 11, 19, 39, 97, 65, 13, 283, 489, 2307, 5239, 4161, 18639, 60035, 22405}},
+{6003, 17, 2335, {1, 3, 5, 1, 3, 7, 109, 27, 429, 663, 1569, 3001, 3453, 8627, 9719, 23941, 110451}},
+{6004, 17, 2339, {1, 3, 7, 5, 17, 13, 125, 209, 347, 95, 1937, 1419, 5661, 7171, 20607, 9777, 68343}},
+{6005, 17, 2346, {1, 1, 1, 1, 7, 41, 43, 229, 57, 49, 1863, 2819, 3735, 915, 1571, 11603, 116275}},
+{6006, 17, 2351, {1, 1, 7, 9, 21, 27, 5, 199, 181, 521, 303, 1097, 5427, 8899, 30325, 55457, 16189}},
+{6007, 17, 2353, {1, 3, 3, 7, 19, 41, 3, 205, 279, 223, 971, 633, 2617, 13191, 10193, 23375, 62563}},
+{6008, 17, 2363, {1, 3, 3, 13, 23, 59, 85, 25, 253, 405, 65, 1625, 4401, 4679, 14381, 57833, 30001}},
+{6009, 17, 2378, {1, 3, 3, 3, 13, 35, 11, 157, 123, 397, 119, 2513, 1919, 14583, 5469, 11463, 94711}},
+{6010, 17, 2383, {1, 1, 1, 7, 17, 37, 83, 211, 451, 939, 449, 13, 6671, 1457, 19855, 15053, 52327}},
+{6011, 17, 2391, {1, 1, 5, 3, 9, 57, 39, 183, 331, 451, 1391, 1865, 7801, 14293, 29069, 705, 109497}},
+{6012, 17, 2401, {1, 3, 7, 7, 23, 21, 85, 81, 255, 9, 1685, 2879, 6327, 12675, 31657, 38877, 74131}},
+{6013, 17, 2408, {1, 1, 5, 9, 25, 19, 41, 195, 31, 555, 927, 1445, 593, 11067, 10819, 17205, 82037}},
+{6014, 17, 2414, {1, 3, 1, 13, 1, 35, 29, 71, 323, 705, 53, 3885, 6223, 1319, 30853, 59935, 35949}},
+{6015, 17, 2419, {1, 1, 7, 3, 27, 63, 67, 31, 149, 61, 1611, 77, 4271, 3161, 12493, 38341, 53837}},
+{6016, 17, 2428, {1, 1, 1, 15, 27, 53, 31, 249, 429, 925, 1485, 1855, 4421, 5703, 10097, 14827, 36685}},
+{6017, 17, 2441, {1, 3, 7, 13, 7, 63, 53, 9, 317, 485, 1679, 3631, 3745, 5643, 21615, 45129, 48027}},
+{6018, 17, 2444, {1, 1, 1, 1, 17, 43, 19, 163, 441, 847, 937, 959, 6649, 13071, 1065, 55193, 129509}},
+{6019, 17, 2461, {1, 1, 1, 11, 29, 47, 9, 215, 397, 637, 961, 3139, 2007, 12603, 27657, 22825, 72873}},
+{6020, 17, 2480, {1, 3, 3, 15, 7, 45, 55, 163, 259, 899, 951, 3245, 4191, 15813, 20195, 8361, 54025}},
+{6021, 17, 2483, {1, 1, 5, 11, 3, 17, 13, 223, 289, 255, 875, 2937, 1593, 9729, 21569, 63199, 83875}},
+{6022, 17, 2486, {1, 1, 1, 15, 19, 31, 17, 129, 267, 9, 2015, 3233, 6799, 12891, 18473, 37865, 19547}},
+{6023, 17, 2489, {1, 1, 5, 5, 5, 29, 81, 37, 357, 539, 1525, 2839, 8041, 5569, 4423, 8907, 35461}},
+{6024, 17, 2490, {1, 1, 5, 5, 29, 11, 85, 61, 333, 521, 1111, 3627, 325, 9805, 17889, 25655, 39537}},
+{6025, 17, 2518, {1, 3, 5, 11, 11, 53, 81, 25, 79, 253, 1963, 287, 7487, 15045, 21431, 35417, 102391}},
+{6026, 17, 2527, {1, 1, 1, 5, 11, 33, 45, 45, 425, 773, 1817, 4077, 1471, 11655, 683, 7115, 92651}},
+{6027, 17, 2540, {1, 1, 3, 3, 21, 13, 101, 215, 311, 853, 41, 1007, 5511, 2581, 25565, 13155, 117225}},
+{6028, 17, 2558, {1, 1, 3, 11, 19, 9, 125, 59, 273, 691, 499, 1547, 567, 10259, 21963, 48725, 3601}},
+{6029, 17, 2567, {1, 1, 3, 7, 27, 31, 39, 125, 317, 625, 1329, 3947, 3943, 6889, 2811, 34055, 1449}},
+{6030, 17, 2571, {1, 1, 1, 3, 29, 45, 73, 239, 319, 611, 647, 1839, 5277, 7807, 3107, 14683, 20203}},
+{6031, 17, 2574, {1, 3, 3, 3, 5, 5, 107, 139, 103, 809, 1343, 4041, 3273, 1789, 16205, 47873, 27803}},
+{6032, 17, 2579, {1, 3, 1, 9, 21, 23, 13, 131, 105, 741, 1773, 981, 5633, 14609, 12281, 50343, 14317}},
+{6033, 17, 2585, {1, 1, 1, 5, 11, 5, 125, 171, 109, 555, 159, 905, 691, 12401, 22817, 41411, 70113}},
+{6034, 17, 2615, {1, 3, 3, 9, 31, 37, 109, 231, 59, 615, 799, 319, 2459, 4521, 8525, 4827, 22969}},
+{6035, 17, 2639, {1, 3, 1, 5, 11, 7, 49, 237, 345, 473, 981, 2073, 6525, 8805, 13403, 3659, 69897}},
+{6036, 17, 2641, {1, 3, 1, 5, 9, 37, 13, 203, 141, 573, 745, 2613, 5589, 607, 24483, 38427, 95775}},
+{6037, 17, 2644, {1, 1, 3, 1, 23, 61, 75, 57, 299, 191, 805, 2993, 5175, 12037, 13649, 58831, 48791}},
+{6038, 17, 2663, {1, 3, 7, 13, 31, 57, 13, 219, 185, 717, 1607, 3785, 4719, 11583, 29285, 48207, 92021}},
+{6039, 17, 2667, {1, 3, 7, 15, 23, 35, 23, 69, 411, 773, 1549, 1087, 1685, 15703, 27193, 62675, 43505}},
+{6040, 17, 2669, {1, 1, 5, 3, 25, 19, 97, 75, 493, 549, 1655, 2881, 4989, 2765, 4797, 43143, 113955}},
+{6041, 17, 2672, {1, 1, 5, 7, 21, 5, 65, 37, 383, 133, 1907, 3747, 1525, 5803, 19977, 50551, 23157}},
+{6042, 17, 2687, {1, 1, 1, 11, 15, 61, 59, 109, 489, 901, 1787, 1611, 6101, 10653, 3071, 35643, 56227}},
+{6043, 17, 2700, {1, 3, 1, 5, 15, 25, 121, 111, 25, 251, 1467, 1795, 1631, 13753, 32391, 14831, 90739}},
+{6044, 17, 2705, {1, 1, 1, 13, 23, 55, 119, 147, 45, 871, 1389, 1929, 1023, 16131, 10041, 40055, 23337}},
+{6045, 17, 2724, {1, 3, 1, 15, 27, 33, 23, 41, 463, 603, 1633, 3445, 2007, 5999, 11175, 18343, 13159}},
+{6046, 17, 2728, {1, 3, 1, 9, 17, 15, 107, 63, 493, 411, 293, 3669, 6143, 3057, 8253, 25491, 58907}},
+{6047, 17, 2733, {1, 3, 5, 11, 1, 43, 5, 117, 127, 813, 1881, 3711, 2567, 7819, 5809, 64471, 104221}},
+{6048, 17, 2741, {1, 3, 5, 9, 25, 27, 49, 93, 77, 705, 1773, 1745, 4605, 16137, 14621, 62893, 81637}},
+{6049, 17, 2748, {1, 3, 1, 15, 9, 29, 41, 101, 291, 763, 1475, 3185, 3661, 10351, 26645, 50375, 59373}},
+{6050, 17, 2751, {1, 1, 5, 15, 9, 31, 107, 159, 125, 471, 1023, 2361, 4805, 8073, 21563, 14903, 77801}},
+{6051, 17, 2756, {1, 3, 7, 1, 27, 17, 75, 129, 71, 697, 551, 1969, 6597, 13821, 2605, 61783, 74791}},
+{6052, 17, 2771, {1, 1, 7, 15, 17, 27, 49, 47, 59, 47, 1671, 2535, 1299, 2387, 24349, 23661, 91123}},
+{6053, 17, 2774, {1, 1, 5, 15, 21, 61, 45, 37, 415, 189, 143, 351, 1815, 3479, 2399, 56753, 123893}},
+{6054, 17, 2793, {1, 1, 3, 7, 7, 19, 93, 249, 335, 305, 1437, 1329, 2693, 13201, 9589, 61513, 115995}},
+{6055, 17, 2796, {1, 1, 1, 11, 21, 57, 33, 205, 235, 253, 751, 259, 6029, 9811, 10231, 36899, 78035}},
+{6056, 17, 2804, {1, 1, 1, 11, 13, 25, 115, 195, 111, 913, 1851, 3283, 6083, 11717, 2773, 40727, 493}},
+{6057, 17, 2814, {1, 3, 3, 9, 9, 17, 83, 137, 465, 671, 1277, 325, 2767, 12413, 21977, 47525, 23041}},
+{6058, 17, 2822, {1, 1, 1, 11, 15, 47, 65, 219, 271, 197, 297, 3195, 1325, 9991, 26385, 46055, 43151}},
+{6059, 17, 2845, {1, 1, 1, 13, 31, 21, 39, 89, 127, 629, 367, 2935, 6259, 6627, 15691, 55781, 97251}},
+{6060, 17, 2846, {1, 1, 7, 13, 11, 45, 65, 75, 211, 785, 1221, 2087, 7751, 15619, 25489, 28195, 69007}},
+{6061, 17, 2850, {1, 3, 5, 15, 27, 37, 75, 111, 487, 219, 233, 583, 6433, 15105, 355, 28331, 21105}},
+{6062, 17, 2855, {1, 3, 3, 15, 31, 53, 33, 95, 27, 197, 1727, 1467, 7115, 15479, 26873, 31075, 12793}},
+{6063, 17, 2856, {1, 3, 7, 1, 19, 3, 19, 105, 225, 599, 737, 107, 7951, 10193, 31699, 59207, 85619}},
+{6064, 17, 2867, {1, 3, 1, 3, 7, 17, 73, 191, 247, 421, 537, 1473, 189, 4219, 29993, 25491, 21189}},
+{6065, 17, 2891, {1, 3, 7, 7, 13, 21, 33, 95, 147, 699, 943, 2275, 4093, 6067, 9063, 25503, 111085}},
+{6066, 17, 2894, {1, 1, 7, 9, 13, 47, 123, 121, 347, 467, 225, 957, 2329, 14075, 29843, 61753, 97179}},
+{6067, 17, 2902, {1, 3, 3, 7, 17, 55, 37, 167, 215, 819, 163, 1747, 4485, 15991, 28011, 36351, 106495}},
+{6068, 17, 2908, {1, 1, 3, 9, 25, 5, 83, 199, 209, 395, 1757, 1967, 5739, 2573, 13989, 32145, 4847}},
+{6069, 17, 2951, {1, 3, 3, 13, 11, 21, 25, 223, 239, 569, 1877, 299, 8089, 3697, 801, 64775, 26827}},
+{6070, 17, 2970, {1, 3, 5, 7, 17, 9, 127, 9, 65, 919, 1073, 2661, 1337, 10065, 30099, 30929, 90067}},
+{6071, 17, 2972, {1, 3, 1, 13, 25, 41, 35, 251, 279, 351, 111, 3917, 2815, 7989, 9895, 54859, 126355}},
+{6072, 17, 2975, {1, 1, 3, 7, 17, 61, 13, 73, 335, 831, 703, 37, 2765, 13169, 12513, 56301, 13907}},
+{6073, 17, 2976, {1, 1, 5, 13, 11, 15, 33, 45, 505, 127, 1723, 17, 4927, 11453, 28859, 9671, 80041}},
+{6074, 17, 2981, {1, 3, 1, 5, 9, 1, 25, 147, 281, 601, 243, 2687, 5533, 6725, 11075, 34807, 24619}},
+{6075, 17, 2986, {1, 1, 3, 1, 7, 21, 71, 31, 485, 561, 1361, 1237, 8171, 15885, 7941, 4583, 32851}},
+{6076, 17, 2999, {1, 3, 7, 1, 5, 35, 95, 155, 283, 959, 577, 1343, 4269, 13481, 30819, 40273, 8711}},
+{6077, 17, 3000, {1, 3, 7, 3, 1, 53, 77, 45, 215, 537, 1045, 77, 2791, 3553, 13273, 23819, 62263}},
+{6078, 17, 3006, {1, 3, 1, 15, 29, 59, 7, 145, 85, 3, 251, 2691, 7547, 11241, 32295, 24645, 75739}},
+{6079, 17, 3014, {1, 1, 5, 9, 19, 9, 39, 163, 303, 233, 2039, 2027, 7169, 2773, 28649, 38317, 66761}},
+{6080, 17, 3028, {1, 3, 7, 5, 21, 27, 93, 227, 131, 1019, 1619, 1497, 4043, 1131, 25761, 20173, 99957}},
+{6081, 17, 3031, {1, 3, 7, 5, 19, 33, 15, 173, 435, 399, 531, 2001, 3221, 12627, 10153, 24421, 61805}},
+{6082, 17, 3035, {1, 3, 1, 9, 11, 3, 69, 105, 289, 183, 1103, 831, 2297, 1613, 18801, 54395, 54243}},
+{6083, 17, 3037, {1, 3, 3, 9, 3, 53, 113, 183, 79, 355, 1629, 1061, 3713, 4563, 14365, 43529, 56073}},
+{6084, 17, 3053, {1, 3, 7, 11, 31, 39, 107, 139, 187, 873, 225, 33, 4943, 15837, 225, 6407, 85967}},
+{6085, 17, 3059, {1, 3, 1, 11, 17, 47, 93, 233, 119, 699, 1429, 2845, 2061, 8887, 20665, 45497, 33107}},
+{6086, 17, 3065, {1, 3, 5, 1, 25, 11, 55, 75, 91, 1009, 1887, 3167, 515, 15929, 11659, 57953, 63401}},
+{6087, 17, 3080, {1, 1, 3, 15, 27, 59, 103, 53, 353, 553, 2021, 1543, 2785, 9373, 14609, 21213, 19911}},
+{6088, 17, 3091, {1, 3, 7, 9, 3, 1, 101, 133, 437, 773, 1399, 1067, 7419, 1793, 16589, 3483, 42065}},
+{6089, 17, 3094, {1, 3, 7, 1, 25, 57, 127, 113, 65, 577, 1865, 1527, 6485, 11273, 15803, 39625, 75219}},
+{6090, 17, 3109, {1, 3, 5, 9, 7, 63, 29, 89, 155, 45, 1029, 2407, 6783, 4749, 4849, 26639, 54059}},
+{6091, 17, 3110, {1, 3, 7, 9, 25, 13, 113, 41, 267, 767, 1071, 1689, 269, 14437, 21255, 39473, 65771}},
+{6092, 17, 3113, {1, 3, 1, 15, 5, 3, 77, 43, 391, 763, 59, 1027, 6263, 3715, 31061, 43311, 130725}},
+{6093, 17, 3116, {1, 3, 7, 7, 21, 51, 127, 71, 229, 171, 397, 1099, 871, 2717, 1643, 17363, 125979}},
+{6094, 17, 3136, {1, 1, 5, 15, 25, 11, 11, 113, 203, 795, 1703, 3901, 1113, 12819, 25345, 46691, 112313}},
+{6095, 17, 3139, {1, 3, 7, 5, 1, 59, 91, 81, 325, 483, 595, 1491, 7455, 6699, 199, 35597, 59851}},
+{6096, 17, 3141, {1, 3, 5, 1, 3, 33, 43, 195, 201, 575, 1395, 1305, 7001, 2023, 22419, 15233, 120355}},
+{6097, 17, 3154, {1, 1, 3, 3, 15, 37, 81, 59, 87, 675, 199, 3231, 4473, 5023, 16753, 51475, 102113}},
+{6098, 17, 3160, {1, 1, 7, 9, 13, 39, 65, 9, 51, 565, 1171, 119, 7875, 12149, 6565, 56849, 123235}},
+{6099, 17, 3169, {1, 3, 3, 7, 15, 45, 53, 93, 111, 533, 1849, 643, 2265, 10241, 24741, 11559, 74333}},
+{6100, 17, 3182, {1, 3, 1, 1, 11, 61, 75, 51, 5, 199, 535, 279, 5821, 6005, 2907, 32521, 74121}},
+{6101, 17, 3187, {1, 1, 3, 15, 3, 21, 29, 193, 71, 993, 1719, 1865, 6135, 7683, 12171, 29275, 14539}},
+{6102, 17, 3189, {1, 1, 1, 7, 7, 13, 1, 61, 315, 431, 1145, 2067, 5745, 1641, 1047, 55111, 129477}},
+{6103, 17, 3190, {1, 1, 5, 1, 21, 43, 115, 193, 153, 573, 1181, 3947, 7809, 11317, 30649, 56891, 47741}},
+{6104, 17, 3203, {1, 1, 5, 7, 19, 15, 61, 239, 109, 683, 395, 2869, 3103, 1531, 12019, 45159, 37525}},
+{6105, 17, 3217, {1, 1, 5, 7, 29, 55, 45, 7, 353, 659, 591, 3371, 5777, 8475, 2743, 47483, 11983}},
+{6106, 17, 3229, {1, 3, 1, 3, 13, 17, 39, 195, 43, 5, 1749, 2559, 5843, 8719, 21421, 58511, 105637}},
+{6107, 17, 3236, {1, 3, 5, 5, 5, 21, 29, 63, 387, 301, 567, 3325, 2109, 403, 23053, 24851, 14493}},
+{6108, 17, 3248, {1, 1, 3, 3, 17, 57, 107, 131, 85, 855, 1101, 3199, 7159, 14739, 4197, 27943, 113009}},
+{6109, 17, 3257, {1, 1, 3, 11, 1, 61, 31, 79, 33, 123, 1509, 507, 6679, 2279, 8465, 37279, 17553}},
+{6110, 17, 3278, {1, 3, 1, 15, 7, 33, 11, 71, 217, 609, 1661, 3437, 5497, 13365, 6247, 649, 26407}},
+{6111, 17, 3283, {1, 1, 3, 1, 19, 45, 49, 125, 5, 455, 1669, 4083, 253, 10101, 27327, 16401, 120399}},
+{6112, 17, 3289, {1, 3, 1, 1, 27, 19, 117, 137, 261, 341, 1697, 457, 7553, 12169, 30049, 49281, 36937}},
+{6113, 17, 3292, {1, 1, 1, 3, 9, 49, 33, 13, 461, 545, 1537, 2623, 883, 10921, 5583, 58997, 114183}},
+{6114, 17, 3302, {1, 1, 7, 9, 29, 53, 29, 165, 205, 989, 1347, 2343, 7505, 7609, 18503, 51677, 105993}},
+{6115, 17, 3316, {1, 1, 1, 13, 1, 29, 59, 121, 297, 659, 1965, 1765, 5255, 10971, 32613, 18763, 41983}},
+{6116, 17, 3328, {1, 3, 7, 11, 21, 41, 19, 47, 125, 485, 475, 2745, 4075, 8101, 31227, 4679, 115473}},
+{6117, 17, 3333, {1, 3, 3, 7, 21, 23, 55, 65, 223, 1001, 317, 1459, 183, 5139, 26553, 41471, 116373}},
+{6118, 17, 3337, {1, 1, 7, 3, 1, 9, 29, 139, 343, 913, 1993, 3139, 3791, 5869, 6057, 23863, 35737}},
+{6119, 17, 3340, {1, 3, 3, 3, 7, 21, 77, 197, 239, 467, 35, 591, 1061, 3417, 31811, 38825, 124981}},
+{6120, 17, 3368, {1, 3, 3, 1, 21, 29, 5, 213, 417, 111, 1681, 1409, 2899, 16233, 1053, 51235, 87767}},
+{6121, 17, 3371, {1, 1, 5, 3, 13, 47, 61, 203, 223, 73, 1947, 3613, 5885, 13567, 7593, 34329, 68597}},
+{6122, 17, 3376, {1, 3, 1, 1, 17, 9, 11, 187, 361, 973, 781, 1835, 1539, 12917, 21725, 48279, 115037}},
+{6123, 17, 3385, {1, 3, 1, 1, 9, 25, 117, 157, 433, 395, 403, 2183, 3327, 5427, 7505, 2673, 77137}},
+{6124, 17, 3386, {1, 1, 7, 15, 31, 15, 27, 155, 441, 837, 1877, 3829, 5139, 16331, 31183, 15803, 95699}},
+{6125, 17, 3393, {1, 1, 7, 15, 5, 51, 77, 179, 289, 727, 1763, 2529, 6715, 3967, 29267, 27293, 67953}},
+{6126, 17, 3399, {1, 3, 7, 13, 7, 3, 3, 17, 311, 547, 1465, 1413, 3937, 2725, 24523, 12321, 109763}},
+{6127, 17, 3405, {1, 3, 5, 15, 9, 5, 87, 135, 281, 97, 2021, 1903, 8007, 10321, 27989, 18993, 110407}},
+{6128, 17, 3414, {1, 1, 1, 13, 25, 61, 89, 107, 233, 823, 1375, 3531, 1757, 1577, 29457, 1461, 17217}},
+{6129, 17, 3433, {1, 1, 1, 13, 17, 17, 27, 193, 485, 759, 145, 3943, 4183, 14119, 11217, 3793, 1935}},
+{6130, 17, 3436, {1, 1, 1, 3, 13, 31, 101, 227, 311, 363, 1925, 1525, 5275, 2385, 15093, 48769, 121189}},
+{6131, 17, 3448, {1, 1, 5, 13, 11, 61, 89, 141, 117, 229, 417, 3935, 7249, 13869, 30591, 62763, 67521}},
+{6132, 17, 3467, {1, 1, 3, 15, 7, 59, 105, 239, 453, 221, 1101, 395, 2031, 8941, 23155, 7077, 125593}},
+{6133, 17, 3469, {1, 1, 1, 11, 7, 55, 99, 31, 305, 371, 1035, 577, 4473, 577, 371, 46093, 69157}},
+{6134, 17, 3472, {1, 3, 1, 9, 9, 33, 35, 245, 95, 47, 1623, 2965, 6849, 7269, 5321, 31641, 73321}},
+{6135, 17, 3477, {1, 1, 1, 15, 21, 61, 65, 65, 159, 151, 625, 2281, 2993, 1311, 29757, 24703, 71029}},
+{6136, 17, 3484, {1, 3, 5, 15, 29, 59, 29, 69, 351, 901, 631, 3501, 7031, 703, 20805, 36437, 94931}},
+{6137, 17, 3494, {1, 3, 7, 1, 21, 11, 19, 125, 237, 807, 1651, 2389, 7347, 11759, 27151, 38669, 965}},
+{6138, 17, 3505, {1, 1, 5, 1, 15, 41, 1, 105, 89, 127, 895, 29, 2339, 15951, 18633, 2781, 67269}},
+{6139, 17, 3515, {1, 1, 5, 15, 25, 7, 3, 33, 375, 447, 203, 2579, 6145, 14015, 9939, 52777, 123181}},
+{6140, 17, 3523, {1, 3, 1, 15, 29, 7, 7, 27, 451, 869, 107, 2457, 5557, 11601, 28957, 36181, 41419}},
+{6141, 17, 3530, {1, 1, 1, 7, 1, 57, 33, 213, 329, 763, 815, 169, 623, 155, 20529, 20603, 73311}},
+{6142, 17, 3543, {1, 3, 5, 7, 25, 21, 7, 217, 159, 89, 1373, 1735, 705, 4093, 13083, 3855, 55875}},
+{6143, 17, 3559, {1, 3, 1, 1, 29, 33, 105, 127, 95, 543, 235, 67, 691, 5015, 22139, 18251, 89945}},
+{6144, 17, 3568, {1, 1, 3, 11, 27, 53, 105, 83, 337, 331, 1571, 1145, 745, 1845, 17881, 17697, 88139}},
+{6145, 17, 3577, {1, 3, 7, 15, 19, 37, 119, 35, 35, 463, 1925, 1665, 673, 12193, 12137, 62371, 10957}},
+{6146, 17, 3578, {1, 3, 3, 3, 19, 21, 113, 29, 459, 467, 623, 2661, 857, 16265, 27509, 46555, 18867}},
+{6147, 17, 3594, {1, 3, 7, 5, 17, 49, 123, 41, 85, 673, 41, 1871, 7649, 8687, 28269, 64423, 93675}},
+{6148, 17, 3601, {1, 3, 3, 3, 7, 23, 101, 171, 181, 527, 65, 2387, 6629, 6089, 17387, 46551, 36143}},
+{6149, 17, 3607, {1, 1, 5, 1, 13, 51, 21, 251, 139, 429, 1993, 3767, 1089, 5459, 19407, 41747, 41033}},
+{6150, 17, 3608, {1, 1, 1, 11, 15, 9, 81, 91, 73, 969, 1513, 2067, 7959, 2605, 26641, 37631, 124571}},
+{6151, 17, 3620, {1, 1, 3, 15, 29, 15, 5, 57, 247, 901, 527, 3325, 5859, 11299, 9871, 63947, 125247}},
+{6152, 17, 3629, {1, 3, 1, 5, 1, 35, 75, 21, 307, 43, 1111, 3299, 1647, 3585, 31045, 18217, 95169}},
+{6153, 17, 3644, {1, 3, 1, 7, 23, 35, 11, 103, 3, 461, 1915, 4019, 453, 13111, 26941, 43091, 22917}},
+{6154, 17, 3656, {1, 1, 5, 5, 1, 61, 121, 167, 475, 5, 1749, 887, 2237, 5055, 7077, 29453, 17691}},
+{6155, 17, 3664, {1, 3, 3, 15, 15, 15, 9, 15, 171, 787, 1965, 577, 4507, 7325, 20901, 8557, 111909}},
+{6156, 17, 3670, {1, 3, 5, 1, 27, 15, 123, 141, 63, 55, 599, 4095, 1245, 13919, 27485, 49977, 74551}},
+{6157, 17, 3680, {1, 3, 5, 9, 21, 61, 79, 119, 7, 573, 1923, 2775, 3127, 12689, 12135, 53429, 130163}},
+{6158, 17, 3685, {1, 3, 3, 13, 27, 41, 67, 249, 447, 277, 311, 775, 8187, 10161, 12953, 22885, 121247}},
+{6159, 17, 3686, {1, 3, 5, 9, 21, 55, 115, 65, 45, 395, 481, 2063, 6493, 4199, 19219, 27119, 62255}},
+{6160, 17, 3695, {1, 1, 3, 13, 7, 41, 3, 127, 383, 923, 1725, 1033, 7731, 11971, 3089, 46459, 98369}},
+{6161, 17, 3698, {1, 1, 3, 11, 13, 39, 39, 149, 309, 311, 1491, 807, 2109, 363, 14637, 65429, 124731}},
+{6162, 17, 3703, {1, 1, 7, 13, 13, 35, 67, 81, 493, 859, 1177, 237, 4605, 15319, 16669, 16661, 21385}},
+{6163, 17, 3710, {1, 1, 3, 7, 7, 39, 57, 103, 239, 753, 221, 1611, 1557, 13317, 27453, 10245, 33839}},
+{6164, 17, 3714, {1, 1, 5, 13, 27, 53, 97, 41, 123, 253, 535, 1839, 5827, 7587, 1261, 20313, 65961}},
+{6165, 17, 3726, {1, 1, 7, 1, 11, 47, 93, 135, 223, 591, 1087, 3329, 3293, 14207, 6187, 54789, 23781}},
+{6166, 17, 3731, {1, 3, 7, 7, 25, 21, 97, 105, 269, 515, 1805, 3711, 3295, 7307, 21065, 65205, 116969}},
+{6167, 17, 3733, {1, 3, 1, 11, 25, 37, 21, 89, 109, 581, 1055, 2393, 1291, 1115, 25545, 36383, 93605}},
+{6168, 17, 3737, {1, 3, 7, 1, 27, 13, 113, 11, 395, 473, 943, 4045, 5507, 15051, 25203, 2971, 31961}},
+{6169, 17, 3756, {1, 1, 5, 5, 27, 35, 57, 219, 67, 949, 659, 203, 5235, 6509, 13731, 61533, 54963}},
+{6170, 17, 3759, {1, 3, 1, 1, 15, 39, 85, 13, 347, 99, 25, 3595, 3081, 13617, 14373, 58909, 102181}},
+{6171, 17, 3767, {1, 1, 7, 13, 3, 25, 97, 91, 287, 389, 665, 2981, 2301, 12625, 4495, 57489, 68677}},
+{6172, 17, 3776, {1, 1, 5, 1, 15, 57, 77, 55, 299, 713, 1457, 3699, 2807, 5549, 467, 47367, 8163}},
+{6173, 17, 3785, {1, 1, 7, 3, 23, 45, 91, 251, 501, 193, 1121, 2359, 4781, 12797, 13713, 55171, 927}},
+{6174, 17, 3793, {1, 3, 3, 7, 7, 31, 87, 163, 249, 163, 937, 1293, 4827, 10299, 31935, 58787, 80589}},
+{6175, 17, 3812, {1, 3, 1, 9, 7, 1, 73, 65, 475, 791, 1429, 3319, 7149, 433, 10373, 44061, 121195}},
+{6176, 17, 3815, {1, 1, 5, 9, 9, 61, 27, 249, 435, 437, 1329, 2163, 5859, 13663, 623, 55569, 94283}},
+{6177, 17, 3824, {1, 3, 7, 11, 1, 29, 117, 195, 399, 999, 1705, 1325, 6043, 9823, 27335, 30377, 16627}},
+{6178, 17, 3844, {1, 1, 1, 15, 5, 11, 63, 185, 15, 741, 1061, 2961, 3455, 5, 26587, 54081, 18107}},
+{6179, 17, 3859, {1, 1, 5, 7, 29, 57, 17, 203, 501, 177, 49, 2773, 8069, 12513, 14437, 64489, 58661}},
+{6180, 17, 3866, {1, 3, 3, 9, 11, 23, 121, 3, 415, 447, 1773, 135, 5901, 4951, 2683, 437, 126251}},
+{6181, 17, 3872, {1, 3, 3, 1, 7, 23, 17, 23, 115, 591, 1075, 3133, 49, 15183, 10615, 37857, 122609}},
+{6182, 17, 3884, {1, 1, 3, 3, 13, 49, 63, 37, 275, 763, 1135, 2913, 1563, 11037, 6693, 18799, 32089}},
+{6183, 17, 3889, {1, 3, 5, 11, 7, 29, 59, 45, 227, 941, 1947, 2733, 797, 10485, 7071, 14741, 11451}},
+{6184, 17, 3899, {1, 1, 1, 9, 21, 19, 77, 97, 75, 991, 187, 1003, 5619, 11013, 3931, 19907, 79723}},
+{6185, 17, 3902, {1, 1, 7, 13, 1, 57, 61, 177, 443, 227, 1347, 2665, 2011, 12329, 14137, 37795, 63331}},
+{6186, 17, 3909, {1, 3, 3, 9, 31, 59, 87, 93, 485, 635, 901, 1845, 6153, 10797, 1289, 8989, 41717}},
+{6187, 17, 3913, {1, 1, 1, 1, 3, 7, 85, 17, 67, 309, 1891, 435, 303, 8011, 32127, 54309, 21457}},
+{6188, 17, 3933, {1, 3, 7, 1, 29, 27, 41, 239, 293, 717, 1331, 917, 6145, 7131, 28199, 35093, 103683}},
+{6189, 17, 3938, {1, 3, 7, 3, 21, 63, 65, 233, 257, 789, 1095, 505, 4557, 16259, 7397, 24815, 89529}},
+{6190, 17, 3949, {1, 3, 3, 11, 29, 41, 55, 17, 335, 715, 779, 2121, 6393, 8887, 32753, 45647, 82665}},
+{6191, 17, 3952, {1, 1, 1, 11, 27, 47, 71, 13, 141, 283, 967, 3359, 4309, 6661, 20481, 23175, 50835}},
+{6192, 17, 3980, {1, 3, 3, 7, 3, 25, 19, 241, 409, 573, 1565, 3355, 1307, 12205, 18017, 8271, 117007}},
+{6193, 17, 3991, {1, 3, 3, 9, 21, 39, 21, 253, 439, 963, 341, 3637, 2275, 1845, 11015, 481, 83369}},
+{6194, 17, 3992, {1, 3, 7, 9, 31, 29, 29, 163, 111, 983, 571, 713, 2621, 11569, 13341, 28341, 130381}},
+{6195, 17, 4002, {1, 3, 7, 7, 11, 35, 89, 49, 81, 115, 113, 1857, 3527, 14819, 6909, 14659, 23557}},
+{6196, 17, 4008, {1, 3, 3, 15, 29, 41, 85, 241, 317, 737, 213, 1667, 5789, 16321, 13991, 36165, 124151}},
+{6197, 17, 4011, {1, 3, 1, 3, 31, 1, 75, 99, 495, 241, 1499, 1535, 2033, 2135, 6699, 58893, 37031}},
+{6198, 17, 4016, {1, 1, 7, 9, 25, 15, 101, 23, 477, 563, 1691, 2655, 2321, 2323, 4255, 22055, 99661}},
+{6199, 17, 4034, {1, 3, 7, 5, 7, 7, 49, 221, 51, 83, 279, 2205, 2939, 2119, 14073, 32839, 108075}},
+{6200, 17, 4036, {1, 3, 5, 11, 17, 39, 3, 127, 87, 501, 799, 401, 4439, 9895, 13017, 64975, 67177}},
+{6201, 17, 4063, {1, 3, 3, 9, 17, 41, 59, 95, 283, 309, 83, 1293, 6385, 5783, 30115, 33997, 12531}},
+{6202, 17, 4067, {1, 3, 5, 3, 7, 31, 69, 171, 225, 409, 1237, 3343, 835, 8039, 16723, 37203, 129047}},
+{6203, 17, 4073, {1, 3, 3, 15, 17, 23, 107, 1, 105, 135, 1245, 993, 4101, 7325, 7425, 17379, 98121}},
+{6204, 17, 4082, {1, 1, 7, 9, 27, 5, 67, 111, 75, 531, 243, 2239, 2527, 4513, 27059, 40533, 88169}},
+{6205, 17, 4091, {1, 3, 5, 7, 21, 63, 57, 15, 75, 679, 1729, 1845, 6259, 8531, 18691, 49321, 101599}},
+{6206, 17, 4093, {1, 1, 5, 9, 3, 35, 7, 201, 351, 885, 669, 2339, 5009, 279, 26469, 54597, 67933}},
+{6207, 17, 4101, {1, 3, 5, 13, 27, 5, 85, 161, 141, 733, 1017, 2021, 6951, 15595, 21817, 17243, 88607}},
+{6208, 17, 4113, {1, 3, 5, 1, 11, 31, 117, 97, 175, 629, 995, 1207, 2941, 5825, 5319, 48191, 9505}},
+{6209, 17, 4120, {1, 3, 3, 7, 25, 39, 45, 79, 21, 607, 1593, 1749, 7951, 10425, 17491, 16617, 56903}},
+{6210, 17, 4125, {1, 1, 1, 5, 15, 41, 107, 115, 79, 693, 919, 3513, 6793, 6541, 5545, 58583, 27963}},
+{6211, 17, 4126, {1, 3, 7, 11, 21, 19, 123, 1, 441, 531, 359, 2117, 2465, 11389, 13489, 32755, 4577}},
+{6212, 17, 4139, {1, 1, 5, 13, 7, 7, 7, 127, 201, 377, 1423, 269, 2611, 3339, 19153, 25659, 33069}},
+{6213, 17, 4142, {1, 3, 7, 1, 13, 35, 45, 5, 313, 739, 1779, 2983, 1815, 8817, 14239, 3921, 57975}},
+{6214, 17, 4144, {1, 3, 1, 11, 9, 39, 33, 111, 39, 255, 159, 2345, 2193, 11475, 12841, 47579, 90309}},
+{6215, 17, 4147, {1, 1, 1, 3, 27, 49, 85, 157, 243, 247, 1473, 323, 4631, 1787, 15193, 5533, 104999}},
+{6216, 17, 4153, {1, 1, 7, 9, 11, 29, 23, 219, 57, 339, 1797, 409, 6025, 10569, 27409, 15147, 130281}},
+{6217, 17, 4154, {1, 1, 7, 1, 31, 31, 113, 229, 63, 877, 319, 2655, 3335, 7743, 19593, 10089, 28215}},
+{6218, 17, 4164, {1, 1, 3, 11, 23, 3, 71, 235, 329, 751, 159, 2579, 5363, 12681, 20233, 53855, 16407}},
+{6219, 17, 4174, {1, 1, 5, 1, 7, 61, 21, 235, 379, 849, 61, 2969, 6399, 2655, 21635, 16955, 58675}},
+{6220, 17, 4182, {1, 3, 7, 7, 29, 15, 5, 11, 143, 699, 1875, 2115, 6633, 6195, 5829, 53633, 111221}},
+{6221, 17, 4185, {1, 3, 7, 11, 19, 41, 17, 219, 483, 829, 1233, 3183, 6283, 2363, 25245, 63075, 82733}},
+{6222, 17, 4188, {1, 3, 7, 13, 21, 17, 1, 207, 443, 575, 521, 2585, 6875, 14871, 14739, 10211, 127435}},
+{6223, 17, 4191, {1, 3, 7, 7, 15, 39, 99, 197, 219, 259, 1723, 3737, 6625, 849, 887, 41293, 53825}},
+{6224, 17, 4195, {1, 3, 3, 3, 5, 3, 75, 155, 189, 935, 85, 2273, 1375, 4217, 10709, 58047, 81689}},
+{6225, 17, 4219, {1, 3, 5, 5, 27, 27, 107, 229, 179, 887, 91, 421, 7313, 6495, 451, 43859, 40033}},
+{6226, 17, 4225, {1, 3, 5, 11, 25, 49, 121, 73, 169, 311, 1387, 1037, 6519, 9317, 26975, 50627, 46805}},
+{6227, 17, 4228, {1, 1, 5, 11, 17, 21, 19, 125, 387, 697, 1017, 1759, 7295, 9869, 28241, 9367, 119255}},
+{6228, 17, 4232, {1, 1, 7, 5, 29, 27, 87, 187, 95, 625, 933, 1751, 5253, 313, 30841, 16349, 67347}},
+{6229, 17, 4246, {1, 1, 3, 3, 15, 51, 23, 101, 183, 267, 243, 711, 983, 12461, 17801, 1429, 47273}},
+{6230, 17, 4255, {1, 1, 1, 3, 17, 3, 73, 67, 49, 449, 879, 2559, 401, 11983, 13697, 12023, 78855}},
+{6231, 17, 4274, {1, 3, 7, 15, 25, 25, 43, 81, 141, 161, 595, 621, 1165, 10869, 22875, 6741, 90017}},
+{6232, 17, 4283, {1, 3, 5, 11, 13, 57, 53, 219, 145, 937, 769, 1961, 4725, 3335, 12623, 8335, 46305}},
+{6233, 17, 4286, {1, 1, 3, 5, 7, 39, 19, 101, 313, 583, 483, 2515, 125, 5211, 2559, 11937, 126717}},
+{6234, 17, 4306, {1, 3, 1, 7, 7, 1, 117, 49, 231, 133, 381, 697, 927, 8263, 26529, 64881, 25059}},
+{6235, 17, 4311, {1, 1, 1, 15, 11, 25, 77, 149, 233, 215, 1239, 3045, 99, 11183, 30279, 32271, 100943}},
+{6236, 17, 4317, {1, 1, 5, 7, 31, 25, 1, 51, 221, 607, 1733, 2145, 6765, 7011, 16927, 29257, 2445}},
+{6237, 17, 4321, {1, 3, 5, 1, 19, 23, 123, 93, 381, 295, 765, 2335, 8025, 14003, 4801, 54243, 57297}},
+{6238, 17, 4324, {1, 1, 7, 9, 9, 31, 63, 191, 495, 527, 251, 2119, 1663, 209, 7445, 1441, 4075}},
+{6239, 17, 4331, {1, 3, 5, 5, 13, 17, 97, 79, 369, 55, 677, 2031, 7315, 4769, 31659, 21975, 22061}},
+{6240, 17, 4333, {1, 3, 3, 7, 3, 63, 121, 243, 39, 917, 1917, 297, 7241, 1565, 31675, 14443, 67239}},
+{6241, 17, 4359, {1, 3, 7, 1, 13, 25, 51, 65, 145, 475, 1853, 4023, 5121, 14411, 15993, 42165, 13615}},
+{6242, 17, 4360, {1, 3, 3, 1, 3, 51, 75, 29, 169, 311, 1309, 2929, 7669, 1507, 14605, 32667, 103861}},
+{6243, 17, 4368, {1, 3, 7, 1, 23, 37, 89, 211, 137, 495, 1469, 3425, 1167, 12429, 27301, 46857, 83007}},
+{6244, 17, 4373, {1, 3, 7, 7, 27, 37, 33, 129, 73, 23, 761, 119, 6217, 4749, 20835, 47477, 33665}},
+{6245, 17, 4389, {1, 1, 3, 5, 29, 35, 79, 21, 183, 933, 43, 3149, 5273, 12159, 20695, 5387, 23569}},
+{6246, 17, 4394, {1, 1, 5, 5, 3, 11, 57, 205, 349, 657, 1509, 3693, 5495, 11865, 13861, 62215, 94141}},
+{6247, 17, 4413, {1, 3, 1, 7, 17, 43, 117, 119, 75, 849, 1247, 643, 2691, 2289, 9759, 18683, 68649}},
+{6248, 17, 4422, {1, 1, 1, 15, 5, 55, 89, 177, 427, 701, 735, 2993, 5293, 15395, 567, 5501, 102393}},
+{6249, 17, 4431, {1, 3, 3, 15, 5, 37, 73, 111, 9, 141, 407, 1579, 6691, 11843, 6377, 64181, 97347}},
+{6250, 17, 4436, {1, 1, 5, 1, 9, 17, 71, 127, 285, 929, 1243, 2605, 359, 14589, 32603, 39879, 115901}},
+{6251, 17, 4440, {1, 3, 7, 15, 3, 27, 91, 121, 47, 631, 1589, 385, 5997, 14077, 21285, 33895, 36985}},
+{6252, 17, 4445, {1, 3, 3, 9, 1, 47, 89, 79, 213, 27, 547, 1703, 4035, 13205, 4341, 21895, 34247}},
+{6253, 17, 4452, {1, 3, 5, 7, 9, 9, 47, 89, 231, 857, 297, 2949, 2715, 1275, 14427, 20227, 21569}},
+{6254, 17, 4462, {1, 3, 1, 3, 15, 57, 61, 183, 377, 477, 1135, 1729, 2863, 8607, 29241, 34983, 84443}},
+{6255, 17, 4469, {1, 1, 7, 7, 5, 53, 91, 149, 71, 41, 1025, 3945, 3989, 15853, 20903, 26943, 99841}},
+{6256, 17, 4470, {1, 3, 3, 3, 29, 21, 59, 217, 483, 257, 331, 657, 2935, 945, 9821, 42501, 98087}},
+{6257, 17, 4473, {1, 3, 5, 3, 17, 39, 123, 103, 109, 957, 853, 3821, 555, 10869, 27673, 38315, 83105}},
+{6258, 17, 4479, {1, 3, 1, 3, 27, 7, 97, 57, 429, 53, 1791, 1405, 4113, 8435, 12845, 21567, 91559}},
+{6259, 17, 4480, {1, 3, 3, 1, 17, 61, 125, 77, 225, 395, 945, 3213, 1363, 15947, 27049, 4389, 64037}},
+{6260, 17, 4483, {1, 1, 1, 3, 15, 51, 15, 189, 449, 989, 939, 985, 6929, 13779, 25011, 22277, 72543}},
+{6261, 17, 4489, {1, 3, 3, 1, 25, 53, 5, 219, 195, 703, 163, 1405, 821, 6797, 14329, 1675, 96653}},
+{6262, 17, 4503, {1, 1, 7, 13, 7, 1, 45, 135, 369, 125, 711, 2509, 131, 13663, 29769, 19497, 116779}},
+{6263, 17, 4519, {1, 1, 7, 15, 23, 25, 7, 225, 435, 835, 1981, 2537, 5727, 15961, 30089, 58905, 100339}},
+{6264, 17, 4520, {1, 3, 7, 3, 19, 9, 79, 63, 371, 419, 1357, 3649, 7987, 14541, 6631, 50555, 84217}},
+{6265, 17, 4525, {1, 3, 3, 9, 7, 61, 11, 157, 99, 95, 945, 2803, 1703, 117, 12891, 21817, 84259}},
+{6266, 17, 4526, {1, 3, 7, 7, 25, 37, 111, 99, 65, 599, 1313, 2557, 5489, 3625, 7429, 19309, 78111}},
+{6267, 17, 4533, {1, 3, 1, 1, 19, 15, 85, 253, 347, 315, 1349, 983, 2507, 4155, 15311, 43535, 101409}},
+{6268, 17, 4552, {1, 3, 3, 3, 1, 55, 3, 57, 375, 107, 177, 1673, 6871, 7137, 10297, 65363, 42293}},
+{6269, 17, 4581, {1, 1, 1, 3, 9, 5, 83, 45, 139, 893, 63, 2859, 6333, 15591, 18491, 26387, 25573}},
+{6270, 17, 4585, {1, 1, 7, 15, 1, 39, 113, 127, 503, 617, 1367, 1855, 185, 4233, 5787, 8265, 42097}},
+{6271, 17, 4591, {1, 1, 3, 11, 11, 41, 119, 165, 331, 625, 81, 2495, 7247, 9139, 15269, 31447, 128425}},
+{6272, 17, 4594, {1, 1, 5, 5, 17, 35, 39, 1, 91, 563, 1841, 2975, 1233, 3837, 22145, 36719, 104503}},
+{6273, 17, 4596, {1, 1, 7, 3, 23, 35, 77, 69, 271, 487, 921, 2597, 8011, 13037, 6001, 20519, 32673}},
+{6274, 17, 4599, {1, 1, 1, 1, 29, 17, 11, 145, 473, 877, 813, 727, 6805, 3563, 13371, 22169, 17239}},
+{6275, 17, 4612, {1, 1, 1, 13, 17, 13, 1, 125, 313, 423, 1079, 2401, 2325, 2219, 24071, 25613, 34163}},
+{6276, 17, 4621, {1, 1, 5, 7, 29, 33, 53, 215, 11, 555, 555, 1965, 3643, 5433, 12923, 59655, 25339}},
+{6277, 17, 4630, {1, 3, 3, 3, 23, 37, 119, 117, 459, 359, 1849, 1019, 433, 15391, 5625, 52649, 81313}},
+{6278, 17, 4636, {1, 3, 3, 1, 21, 31, 121, 161, 113, 667, 863, 105, 3805, 14459, 28235, 24543, 89755}},
+{6279, 17, 4640, {1, 1, 5, 15, 17, 37, 15, 111, 511, 477, 611, 955, 2591, 16137, 14179, 30995, 129575}},
+{6280, 17, 4649, {1, 3, 3, 3, 21, 49, 25, 37, 287, 263, 851, 1015, 8133, 9429, 10959, 64483, 82533}},
+{6281, 17, 4650, {1, 1, 5, 1, 25, 19, 49, 159, 155, 443, 975, 1413, 321, 7871, 22935, 57303, 124027}},
+{6282, 17, 4660, {1, 3, 1, 1, 19, 45, 47, 89, 409, 509, 1249, 2445, 2053, 3781, 7517, 61869, 125137}},
+{6283, 17, 4677, {1, 1, 5, 13, 27, 57, 45, 43, 361, 329, 1321, 771, 4665, 12245, 18993, 15121, 127485}},
+{6284, 17, 4687, {1, 3, 3, 7, 3, 41, 127, 75, 485, 821, 497, 2649, 6423, 12419, 31421, 9441, 63645}},
+{6285, 17, 4696, {1, 1, 3, 5, 19, 61, 91, 35, 311, 287, 449, 3955, 5805, 5631, 25613, 55409, 104545}},
+{6286, 17, 4701, {1, 3, 7, 11, 27, 19, 27, 53, 19, 35, 1687, 3923, 3379, 10435, 15053, 12343, 89077}},
+{6287, 17, 4705, {1, 3, 5, 13, 31, 41, 15, 239, 349, 533, 1771, 737, 6503, 14355, 18781, 27805, 79049}},
+{6288, 17, 4706, {1, 3, 1, 3, 13, 11, 69, 227, 169, 873, 533, 2217, 1047, 12415, 12271, 22447, 14163}},
+{6289, 17, 4711, {1, 1, 3, 9, 7, 31, 23, 155, 133, 305, 1569, 521, 201, 10339, 16999, 29163, 32817}},
+{6290, 17, 4720, {1, 1, 1, 5, 31, 57, 43, 223, 121, 803, 357, 1855, 4321, 10245, 25725, 2543, 47395}},
+{6291, 17, 4723, {1, 3, 5, 9, 3, 5, 47, 189, 217, 899, 1455, 691, 1277, 7861, 3627, 14895, 41109}},
+{6292, 17, 4732, {1, 3, 7, 3, 29, 9, 37, 63, 453, 709, 921, 771, 8069, 239, 22639, 59937, 10635}},
+{6293, 17, 4736, {1, 3, 7, 1, 11, 51, 79, 131, 225, 757, 549, 1605, 3921, 1849, 16307, 29809, 120597}},
+{6294, 17, 4742, {1, 3, 7, 7, 1, 45, 33, 185, 23, 881, 1941, 4093, 4741, 11633, 2059, 32007, 11103}},
+{6295, 17, 4748, {1, 3, 5, 11, 17, 21, 43, 205, 363, 559, 697, 4057, 631, 6697, 883, 61705, 102791}},
+{6296, 17, 4754, {1, 1, 7, 9, 29, 35, 109, 85, 373, 321, 415, 2969, 6163, 6999, 9999, 36435, 125267}},
+{6297, 17, 4759, {1, 1, 7, 11, 25, 9, 113, 91, 337, 889, 947, 2093, 5289, 1367, 13297, 36155, 21825}},
+{6298, 17, 4769, {1, 1, 3, 9, 17, 25, 35, 79, 275, 687, 335, 1181, 7327, 3729, 1561, 27441, 114355}},
+{6299, 17, 4787, {1, 3, 3, 11, 25, 41, 27, 89, 115, 361, 871, 1497, 5735, 6365, 1737, 14277, 63847}},
+{6300, 17, 4807, {1, 3, 7, 7, 1, 63, 31, 73, 289, 67, 277, 1821, 4883, 10795, 11755, 15471, 105871}},
+{6301, 17, 4814, {1, 3, 7, 9, 23, 17, 37, 179, 409, 957, 373, 2393, 2363, 6735, 28737, 41927, 115735}},
+{6302, 17, 4837, {1, 1, 3, 9, 15, 43, 111, 61, 455, 181, 1643, 3063, 4311, 13705, 29993, 21731, 25243}},
+{6303, 17, 4867, {1, 1, 1, 15, 13, 13, 69, 187, 91, 395, 209, 3477, 4649, 7727, 30557, 14719, 1953}},
+{6304, 17, 4873, {1, 1, 1, 15, 9, 39, 119, 193, 459, 135, 567, 25, 4583, 8401, 22161, 14771, 74165}},
+{6305, 17, 4879, {1, 1, 3, 7, 5, 39, 77, 149, 293, 585, 1245, 3615, 357, 11613, 13865, 40227, 41023}},
+{6306, 17, 4884, {1, 1, 7, 9, 9, 37, 5, 177, 121, 181, 771, 733, 7683, 4855, 13629, 8349, 46137}},
+{6307, 17, 4898, {1, 1, 3, 13, 3, 37, 73, 69, 281, 109, 563, 1427, 5127, 8957, 16749, 41489, 49531}},
+{6308, 17, 4907, {1, 1, 7, 11, 29, 63, 79, 127, 95, 809, 1175, 1567, 6353, 7505, 26551, 5073, 53733}},
+{6309, 17, 4910, {1, 1, 1, 5, 25, 41, 59, 103, 59, 365, 1111, 3909, 3749, 14889, 3639, 10435, 45407}},
+{6310, 17, 4918, {1, 1, 1, 5, 3, 61, 93, 199, 97, 779, 67, 241, 6197, 6785, 16869, 7573, 46745}},
+{6311, 17, 4924, {1, 1, 5, 9, 27, 29, 21, 69, 165, 661, 1245, 1265, 2979, 9685, 17781, 23329, 48029}},
+{6312, 17, 4953, {1, 1, 1, 7, 7, 23, 39, 197, 169, 561, 499, 2197, 4371, 157, 6837, 44635, 94861}},
+{6313, 17, 4956, {1, 1, 5, 13, 7, 5, 9, 207, 321, 243, 899, 2967, 3553, 15413, 8961, 55039, 6459}},
+{6314, 17, 4965, {1, 3, 5, 3, 13, 25, 33, 145, 45, 979, 33, 2211, 7003, 11147, 11327, 55151, 30697}},
+{6315, 17, 4966, {1, 1, 3, 13, 7, 51, 25, 229, 231, 115, 1815, 3867, 1533, 15259, 8067, 64803, 87535}},
+{6316, 17, 4970, {1, 1, 3, 3, 21, 51, 101, 49, 227, 393, 1659, 955, 545, 7395, 31563, 5499, 130541}},
+{6317, 17, 4972, {1, 3, 1, 1, 21, 41, 57, 161, 269, 35, 893, 1817, 857, 7027, 973, 12529, 46659}},
+{6318, 17, 4983, {1, 1, 3, 7, 17, 35, 23, 29, 335, 725, 453, 1051, 6019, 7595, 29451, 1853, 116615}},
+{6319, 17, 4989, {1, 3, 3, 1, 3, 55, 73, 187, 213, 329, 997, 703, 5829, 7903, 1081, 33359, 119123}},
+{6320, 17, 4994, {1, 3, 3, 15, 29, 55, 15, 17, 245, 117, 1735, 767, 4457, 8803, 17621, 26925, 72487}},
+{6321, 17, 5000, {1, 3, 5, 3, 25, 7, 119, 139, 159, 199, 317, 3875, 8115, 7581, 29239, 50225, 48459}},
+{6322, 17, 5005, {1, 3, 7, 11, 11, 41, 107, 225, 395, 545, 259, 2379, 6709, 11669, 14545, 43663, 69979}},
+{6323, 17, 5014, {1, 3, 5, 13, 23, 45, 73, 137, 447, 305, 117, 2659, 7989, 233, 31991, 60495, 571}},
+{6324, 17, 5018, {1, 3, 7, 9, 1, 37, 31, 1, 433, 701, 159, 3811, 4529, 6697, 7121, 31107, 61555}},
+{6325, 17, 5023, {1, 3, 5, 5, 13, 21, 81, 63, 95, 741, 1189, 1567, 1223, 12371, 28435, 10537, 53785}},
+{6326, 17, 5039, {1, 1, 1, 11, 17, 31, 67, 121, 281, 593, 561, 1759, 387, 9639, 28595, 22473, 4935}},
+{6327, 17, 5053, {1, 3, 7, 3, 5, 43, 59, 151, 351, 263, 297, 423, 1681, 3785, 15171, 7145, 57531}},
+{6328, 17, 5054, {1, 3, 7, 15, 9, 35, 105, 189, 261, 175, 1669, 1289, 5401, 12801, 19585, 48169, 93195}},
+{6329, 17, 5061, {1, 1, 7, 1, 31, 41, 23, 237, 151, 549, 1079, 2933, 5509, 15593, 1791, 15757, 44607}},
+{6330, 17, 5065, {1, 1, 1, 3, 29, 1, 59, 115, 13, 999, 1179, 3561, 2749, 10059, 12861, 6797, 11793}},
+{6331, 17, 5080, {1, 3, 3, 7, 11, 5, 23, 217, 101, 775, 1497, 4047, 2427, 5117, 9683, 28895, 27557}},
+{6332, 17, 5083, {1, 3, 7, 5, 31, 55, 99, 65, 55, 587, 1271, 2277, 7947, 12995, 13149, 4463, 37625}},
+{6333, 17, 5107, {1, 1, 7, 11, 3, 63, 23, 191, 125, 365, 1153, 2657, 6763, 4557, 21643, 26885, 36753}},
+{6334, 17, 5119, {1, 1, 1, 15, 25, 15, 111, 135, 507, 745, 1947, 2545, 4329, 14325, 8187, 52021, 63401}},
+{6335, 17, 5146, {1, 1, 3, 3, 27, 25, 19, 211, 393, 467, 1015, 2495, 7135, 495, 10385, 26961, 49325}},
+{6336, 17, 5151, {1, 1, 3, 5, 15, 35, 3, 203, 337, 337, 703, 1989, 6869, 6055, 21095, 4749, 125669}},
+{6337, 17, 5152, {1, 1, 5, 1, 31, 39, 57, 101, 419, 717, 1489, 199, 5729, 3003, 2607, 64593, 11515}},
+{6338, 17, 5155, {1, 3, 7, 13, 15, 3, 33, 61, 17, 433, 1097, 957, 5351, 3043, 3679, 44881, 126909}},
+{6339, 17, 5169, {1, 1, 3, 11, 5, 1, 121, 175, 119, 367, 399, 2527, 2157, 2667, 31069, 24797, 119621}},
+{6340, 17, 5170, {1, 3, 1, 7, 27, 47, 115, 229, 455, 775, 73, 837, 1181, 3457, 4057, 33907, 67151}},
+{6341, 17, 5176, {1, 3, 3, 1, 7, 51, 71, 177, 463, 921, 393, 3137, 1225, 5709, 303, 20597, 77581}},
+{6342, 17, 5179, {1, 3, 5, 3, 31, 1, 93, 53, 177, 433, 1471, 2191, 4471, 9211, 19397, 57727, 60367}},
+{6343, 17, 5182, {1, 1, 3, 11, 29, 55, 121, 89, 67, 869, 1631, 2657, 7357, 7159, 22449, 16357, 20077}},
+{6344, 17, 5189, {1, 3, 7, 15, 11, 39, 127, 63, 211, 359, 971, 1221, 1909, 9963, 7827, 60923, 98495}},
+{6345, 17, 5193, {1, 1, 7, 9, 23, 47, 47, 85, 307, 471, 1287, 3825, 5451, 15151, 15647, 63043, 92443}},
+{6346, 17, 5196, {1, 3, 7, 5, 19, 11, 11, 27, 307, 695, 99, 1037, 1997, 13673, 591, 8183, 82197}},
+{6347, 17, 5204, {1, 3, 5, 5, 3, 53, 109, 227, 503, 855, 1269, 3903, 5049, 10647, 21751, 58707, 78311}},
+{6348, 17, 5207, {1, 1, 3, 11, 31, 3, 51, 211, 285, 919, 487, 3393, 3463, 2271, 8053, 56791, 33763}},
+{6349, 17, 5211, {1, 3, 3, 5, 21, 15, 5, 5, 327, 809, 915, 1365, 7323, 4247, 31603, 26261, 80389}},
+{6350, 17, 5220, {1, 3, 7, 7, 15, 33, 31, 221, 291, 815, 1307, 929, 3249, 14573, 13613, 59509, 59741}},
+{6351, 17, 5258, {1, 3, 7, 15, 19, 41, 61, 27, 353, 965, 1901, 87, 2669, 12757, 29723, 47165, 16521}},
+{6352, 17, 5265, {1, 3, 5, 3, 11, 43, 97, 215, 361, 901, 1425, 4063, 5327, 14119, 457, 43145, 107401}},
+{6353, 17, 5271, {1, 1, 3, 15, 19, 37, 101, 69, 131, 927, 897, 477, 7641, 4299, 21213, 26017, 123801}},
+{6354, 17, 5277, {1, 3, 7, 7, 19, 5, 11, 51, 277, 985, 1071, 3437, 6595, 9547, 11855, 64249, 30957}},
+{6355, 17, 5278, {1, 1, 7, 9, 21, 41, 89, 113, 61, 235, 685, 1419, 7619, 9863, 21221, 28685, 53409}},
+{6356, 17, 5282, {1, 1, 1, 1, 27, 1, 19, 3, 473, 827, 269, 1659, 2621, 12347, 13359, 64687, 99293}},
+{6357, 17, 5296, {1, 3, 7, 7, 29, 37, 61, 49, 215, 883, 625, 2671, 3743, 4517, 2075, 64865, 58611}},
+{6358, 17, 5299, {1, 3, 3, 7, 15, 11, 35, 37, 255, 781, 613, 3587, 7643, 13081, 32467, 14427, 15235}},
+{6359, 17, 5319, {1, 1, 1, 11, 31, 47, 107, 65, 489, 377, 425, 3453, 2901, 9999, 7687, 13311, 103947}},
+{6360, 17, 5328, {1, 3, 3, 7, 9, 17, 7, 107, 33, 545, 407, 3335, 7563, 14315, 32725, 8483, 69093}},
+{6361, 17, 5343, {1, 1, 1, 5, 17, 9, 87, 229, 417, 769, 423, 569, 7073, 8705, 24487, 63743, 69807}},
+{6362, 17, 5353, {1, 3, 1, 9, 1, 29, 75, 25, 483, 259, 1941, 1533, 8147, 14127, 24087, 37475, 130961}},
+{6363, 17, 5364, {1, 3, 3, 11, 15, 15, 51, 45, 215, 283, 1687, 185, 4521, 12205, 13041, 33283, 77007}},
+{6364, 17, 5368, {1, 1, 3, 3, 5, 47, 107, 67, 325, 87, 1831, 2845, 1645, 1741, 10811, 8983, 58515}},
+{6365, 17, 5379, {1, 3, 1, 13, 19, 17, 1, 151, 411, 915, 1739, 3781, 4939, 15767, 25897, 7205, 17285}},
+{6366, 17, 5381, {1, 3, 5, 15, 19, 1, 125, 33, 321, 325, 639, 4013, 967, 4347, 19743, 13445, 61229}},
+{6367, 17, 5399, {1, 3, 3, 13, 13, 37, 71, 85, 51, 775, 973, 739, 4341, 15707, 12221, 24321, 48073}},
+{6368, 17, 5415, {1, 1, 7, 13, 15, 13, 9, 211, 331, 429, 1323, 3027, 1091, 13311, 289, 57789, 93261}},
+{6369, 17, 5422, {1, 1, 1, 1, 27, 7, 13, 27, 67, 573, 455, 2353, 113, 11831, 9069, 4503, 89291}},
+{6370, 17, 5441, {1, 1, 1, 7, 21, 63, 47, 39, 419, 991, 1623, 11, 3153, 12633, 9425, 65087, 44935}},
+{6371, 17, 5451, {1, 3, 1, 7, 23, 11, 15, 11, 99, 543, 1739, 3955, 5883, 12469, 7529, 14177, 1945}},
+{6372, 17, 5456, {1, 3, 1, 3, 5, 17, 31, 251, 387, 311, 725, 3827, 6835, 5065, 3141, 43441, 87955}},
+{6373, 17, 5462, {1, 1, 1, 11, 25, 7, 75, 135, 67, 589, 889, 3429, 155, 9081, 28653, 8059, 57251}},
+{6374, 17, 5490, {1, 3, 5, 15, 21, 15, 103, 149, 311, 407, 1391, 717, 1765, 14887, 14381, 37483, 29587}},
+{6375, 17, 5495, {1, 3, 5, 5, 19, 31, 93, 5, 507, 193, 1735, 3841, 7895, 9853, 10317, 14867, 49529}},
+{6376, 17, 5501, {1, 3, 7, 7, 19, 3, 99, 201, 479, 313, 693, 3435, 5453, 1157, 23127, 49005, 20167}},
+{6377, 17, 5502, {1, 3, 7, 9, 15, 21, 123, 41, 19, 281, 1837, 2589, 1003, 1993, 18345, 10039, 89325}},
+{6378, 17, 5505, {1, 3, 5, 1, 19, 21, 77, 151, 145, 951, 2017, 609, 5847, 4475, 12439, 6357, 108277}},
+{6379, 17, 5512, {1, 1, 1, 9, 17, 21, 91, 91, 111, 951, 497, 1759, 503, 12787, 25117, 24323, 96447}},
+{6380, 17, 5523, {1, 1, 3, 11, 13, 9, 73, 205, 329, 243, 1187, 829, 2821, 5563, 14391, 771, 116441}},
+{6381, 17, 5529, {1, 1, 1, 1, 11, 57, 39, 221, 41, 521, 1541, 3515, 2367, 4179, 21039, 52943, 11627}},
+{6382, 17, 5548, {1, 3, 3, 3, 23, 13, 103, 125, 67, 217, 863, 3755, 213, 12657, 31399, 3771, 54107}},
+{6383, 17, 5551, {1, 3, 3, 7, 3, 9, 107, 217, 497, 935, 519, 3041, 323, 14895, 5695, 28789, 36085}},
+{6384, 17, 5553, {1, 1, 5, 11, 23, 33, 81, 23, 167, 3, 1683, 2279, 5365, 847, 14717, 9689, 64481}},
+{6385, 17, 5565, {1, 3, 1, 7, 1, 15, 107, 93, 429, 363, 1745, 1459, 5879, 8351, 17527, 44001, 70293}},
+{6386, 17, 5568, {1, 3, 3, 9, 27, 55, 125, 211, 141, 827, 1239, 663, 4803, 11067, 32039, 28091, 56421}},
+{6387, 17, 5577, {1, 3, 5, 5, 7, 13, 125, 231, 427, 483, 967, 549, 3105, 13919, 3017, 39207, 23253}},
+{6388, 17, 5578, {1, 3, 7, 3, 21, 29, 79, 67, 39, 451, 157, 337, 3585, 3621, 9545, 31205, 63201}},
+{6389, 17, 5583, {1, 3, 1, 1, 29, 25, 77, 57, 167, 899, 95, 2487, 3743, 5381, 3637, 56289, 39453}},
+{6390, 17, 5585, {1, 1, 1, 9, 29, 19, 41, 97, 75, 199, 1709, 483, 4099, 3113, 10953, 20659, 109273}},
+{6391, 17, 5588, {1, 3, 5, 15, 13, 9, 83, 43, 111, 789, 965, 4061, 1239, 14577, 10113, 26359, 52609}},
+{6392, 17, 5613, {1, 3, 5, 5, 11, 39, 113, 31, 457, 119, 725, 831, 4143, 5675, 27431, 12431, 94977}},
+{6393, 17, 5614, {1, 1, 3, 3, 25, 17, 93, 253, 307, 625, 143, 1061, 4415, 3563, 3313, 53527, 29537}},
+{6394, 17, 5616, {1, 3, 5, 3, 29, 41, 43, 109, 147, 919, 1675, 465, 6101, 12251, 28915, 15397, 85233}},
+{6395, 17, 5622, {1, 1, 1, 1, 31, 25, 59, 187, 439, 561, 559, 413, 1917, 9319, 27475, 49715, 32953}},
+{6396, 17, 5631, {1, 1, 7, 13, 23, 31, 95, 231, 141, 207, 1373, 2173, 2905, 169, 23825, 55071, 6147}},
+{6397, 17, 5637, {1, 1, 7, 13, 15, 39, 43, 117, 321, 297, 661, 2941, 7359, 11675, 15483, 24093, 7269}},
+{6398, 17, 5638, {1, 3, 3, 13, 9, 59, 51, 49, 81, 563, 745, 1843, 295, 4689, 19847, 42137, 63197}},
+{6399, 17, 5668, {1, 3, 1, 9, 5, 33, 21, 199, 509, 927, 1777, 1349, 3593, 1065, 24943, 55667, 73539}},
+{6400, 17, 5675, {1, 3, 1, 11, 17, 15, 91, 21, 59, 587, 1207, 543, 6669, 10861, 24755, 1789, 91249}},
+{6401, 17, 5683, {1, 3, 7, 15, 13, 47, 57, 147, 381, 1021, 921, 1347, 3847, 5969, 9075, 39081, 127241}},
+{6402, 17, 5695, {1, 3, 3, 15, 19, 15, 1, 97, 203, 409, 1745, 1217, 2199, 7945, 24361, 41771, 123127}},
+{6403, 17, 5703, {1, 3, 3, 5, 17, 17, 43, 255, 179, 717, 1993, 645, 6527, 1533, 32719, 27481, 122425}},
+{6404, 17, 5710, {1, 3, 5, 9, 13, 59, 15, 157, 373, 937, 27, 3325, 2297, 89, 10861, 48615, 16083}},
+{6405, 17, 5715, {1, 3, 1, 3, 19, 27, 109, 243, 189, 17, 99, 1879, 695, 11329, 12467, 6053, 41749}},
+{6406, 17, 5727, {1, 1, 5, 5, 23, 41, 103, 69, 171, 917, 1303, 2101, 617, 10017, 26525, 11009, 66137}},
+{6407, 17, 5738, {1, 1, 1, 9, 21, 45, 47, 171, 455, 257, 411, 4021, 6995, 12881, 4793, 51193, 60775}},
+{6408, 17, 5752, {1, 3, 7, 5, 25, 31, 89, 53, 321, 593, 1795, 2435, 3833, 2767, 17241, 63373, 25457}},
+{6409, 17, 5767, {1, 3, 1, 1, 3, 45, 19, 255, 179, 991, 1407, 3683, 1435, 6803, 12215, 12835, 2005}},
+{6410, 17, 5773, {1, 3, 7, 3, 17, 5, 117, 251, 71, 983, 1391, 3499, 5119, 7257, 7325, 16565, 6321}},
+{6411, 17, 5776, {1, 3, 5, 7, 5, 49, 47, 201, 297, 485, 1879, 2205, 4903, 13619, 22537, 5479, 121625}},
+{6412, 17, 5781, {1, 1, 3, 5, 27, 27, 87, 61, 145, 943, 343, 1639, 6307, 4549, 20765, 33479, 113697}},
+{6413, 17, 5791, {1, 1, 3, 9, 17, 5, 101, 129, 305, 653, 1901, 3901, 6361, 2369, 7449, 55259, 75215}},
+{6414, 17, 5792, {1, 1, 7, 5, 31, 45, 117, 55, 335, 827, 1309, 2603, 2111, 11005, 14747, 56999, 97373}},
+{6415, 17, 5795, {1, 1, 7, 11, 29, 29, 81, 175, 169, 453, 293, 2589, 1057, 15795, 32397, 65433, 79455}},
+{6416, 17, 5798, {1, 1, 1, 5, 11, 7, 13, 249, 29, 407, 1289, 2385, 8113, 15327, 4029, 32005, 105901}},
+{6417, 17, 5801, {1, 1, 5, 5, 7, 61, 103, 141, 109, 391, 631, 821, 1479, 14771, 25057, 1415, 8081}},
+{6418, 17, 5810, {1, 3, 1, 1, 9, 37, 17, 231, 501, 745, 1695, 45, 7797, 2945, 5529, 34747, 39069}},
+{6419, 17, 5812, {1, 1, 7, 9, 21, 59, 103, 103, 33, 875, 723, 3477, 4729, 7311, 29979, 60901, 72187}},
+{6420, 17, 5836, {1, 3, 3, 3, 15, 63, 93, 237, 203, 635, 1189, 2035, 6499, 9943, 9133, 62977, 29657}},
+{6421, 17, 5839, {1, 1, 1, 9, 3, 11, 63, 207, 95, 563, 775, 3009, 7125, 13141, 4489, 16343, 120951}},
+{6422, 17, 5841, {1, 1, 3, 1, 21, 57, 15, 217, 185, 305, 463, 1597, 6529, 4989, 14011, 11265, 131031}},
+{6423, 17, 5867, {1, 3, 5, 15, 17, 61, 35, 127, 411, 579, 1349, 615, 3293, 8475, 9773, 30635, 117639}},
+{6424, 17, 5870, {1, 1, 7, 9, 11, 3, 55, 105, 305, 223, 1899, 2217, 1261, 9831, 23693, 3013, 30489}},
+{6425, 17, 5877, {1, 3, 7, 15, 15, 29, 1, 99, 67, 293, 499, 1941, 5303, 1329, 24547, 14065, 7927}},
+{6426, 17, 5881, {1, 1, 5, 11, 17, 55, 71, 49, 499, 435, 985, 2803, 6139, 1503, 24167, 47181, 102529}},
+{6427, 17, 5899, {1, 3, 5, 1, 19, 53, 71, 17, 63, 469, 1871, 2051, 357, 11661, 5689, 36373, 13379}},
+{6428, 17, 5914, {1, 1, 5, 1, 27, 47, 23, 247, 59, 381, 1895, 2453, 3665, 5487, 24081, 50501, 91659}},
+{6429, 17, 5925, {1, 1, 5, 7, 29, 19, 3, 33, 83, 301, 133, 3603, 5133, 16171, 22905, 36271, 10405}},
+{6430, 17, 5929, {1, 3, 7, 9, 11, 23, 57, 87, 9, 731, 631, 3703, 2593, 12851, 7115, 8801, 108919}},
+{6431, 17, 5943, {1, 3, 3, 3, 23, 35, 33, 99, 343, 837, 231, 3921, 6975, 15093, 15049, 64623, 123523}},
+{6432, 17, 5949, {1, 1, 7, 11, 15, 61, 113, 103, 501, 57, 1345, 3155, 2965, 4433, 10605, 43765, 42169}},
+{6433, 17, 5962, {1, 1, 7, 13, 7, 53, 91, 121, 229, 127, 103, 833, 7829, 1571, 10847, 20861, 101155}},
+{6434, 17, 5969, {1, 3, 7, 1, 9, 25, 71, 103, 37, 473, 1133, 1129, 1651, 6965, 6937, 16597, 20439}},
+{6435, 17, 5976, {1, 1, 5, 9, 1, 9, 47, 131, 285, 967, 1869, 1075, 8127, 135, 15575, 38569, 123729}},
+{6436, 17, 5988, {1, 1, 7, 9, 5, 31, 33, 227, 347, 41, 2025, 3755, 857, 7805, 13121, 38307, 125825}},
+{6437, 17, 5997, {1, 3, 5, 7, 11, 11, 19, 55, 23, 627, 1477, 3093, 2779, 7653, 7165, 23053, 76123}},
+{6438, 17, 6006, {1, 1, 3, 1, 3, 47, 83, 89, 177, 381, 1247, 141, 7051, 6443, 27369, 34323, 43063}},
+{6439, 17, 6010, {1, 1, 7, 7, 13, 15, 55, 223, 351, 525, 1051, 3009, 5443, 11499, 8335, 37949, 69149}},
+{6440, 17, 6016, {1, 1, 1, 3, 13, 61, 89, 33, 129, 921, 1905, 201, 3141, 5531, 135, 34103, 56883}},
+{6441, 17, 6022, {1, 1, 5, 13, 17, 27, 13, 163, 169, 471, 1263, 1421, 7015, 7927, 21027, 58001, 26739}},
+{6442, 17, 6026, {1, 1, 1, 15, 19, 49, 109, 207, 245, 49, 1271, 3635, 2561, 5091, 24415, 59195, 67701}},
+{6443, 17, 6031, {1, 3, 5, 7, 27, 57, 99, 155, 461, 595, 1859, 1727, 857, 4993, 31733, 42141, 10035}},
+{6444, 17, 6040, {1, 1, 1, 15, 11, 11, 85, 9, 251, 375, 155, 379, 7501, 12559, 32583, 36317, 4675}},
+{6445, 17, 6043, {1, 1, 5, 13, 19, 57, 81, 69, 201, 293, 593, 3169, 4519, 9057, 16685, 12847, 123797}},
+{6446, 17, 6050, {1, 3, 1, 5, 5, 1, 19, 243, 345, 661, 561, 3549, 2541, 5887, 25879, 41467, 72799}},
+{6447, 17, 6059, {1, 1, 5, 13, 15, 51, 67, 61, 79, 89, 447, 1471, 4915, 10637, 10901, 48157, 103545}},
+{6448, 17, 6079, {1, 3, 5, 13, 31, 25, 73, 129, 435, 659, 1851, 3595, 753, 7717, 10927, 30115, 109221}},
+{6449, 17, 6099, {1, 1, 1, 3, 25, 3, 121, 43, 349, 205, 1209, 2671, 6445, 8755, 7171, 58631, 74319}},
+{6450, 17, 6101, {1, 1, 3, 1, 11, 15, 83, 37, 483, 65, 759, 1835, 3883, 1693, 30051, 61077, 1187}},
+{6451, 17, 6105, {1, 3, 7, 15, 29, 23, 85, 77, 139, 903, 1821, 943, 6453, 1523, 18539, 49039, 110787}},
+{6452, 17, 6108, {1, 1, 7, 15, 15, 17, 69, 253, 507, 921, 523, 79, 747, 4011, 25795, 42029, 88309}},
+{6453, 17, 6124, {1, 1, 7, 3, 25, 47, 119, 83, 313, 45, 985, 145, 205, 3407, 9013, 64517, 115811}},
+{6454, 17, 6132, {1, 1, 7, 1, 29, 21, 9, 123, 97, 545, 1987, 2979, 6901, 12667, 23325, 63635, 70593}},
+{6455, 17, 6145, {1, 3, 7, 3, 23, 45, 81, 255, 41, 29, 1493, 4065, 3201, 10479, 17193, 39999, 55493}},
+{6456, 17, 6146, {1, 3, 1, 3, 9, 43, 43, 135, 235, 603, 481, 3139, 2729, 14759, 7269, 7995, 110351}},
+{6457, 17, 6151, {1, 3, 1, 11, 17, 35, 113, 93, 417, 967, 755, 659, 3115, 16163, 22997, 38205, 126961}},
+{6458, 17, 6152, {1, 1, 7, 11, 29, 57, 81, 235, 93, 869, 475, 825, 6269, 15819, 14977, 53057, 116021}},
+{6459, 17, 6158, {1, 1, 7, 13, 5, 61, 5, 241, 245, 673, 1651, 3367, 2355, 713, 20107, 30133, 735}},
+{6460, 17, 6160, {1, 1, 5, 9, 21, 3, 121, 241, 129, 703, 1435, 1943, 5087, 13123, 30023, 58287, 50377}},
+{6461, 17, 6163, {1, 1, 1, 15, 23, 27, 67, 197, 123, 629, 169, 3303, 1679, 11051, 16875, 28055, 12379}},
+{6462, 17, 6165, {1, 1, 3, 3, 7, 63, 97, 43, 89, 739, 779, 2893, 7763, 6351, 26135, 44647, 127987}},
+{6463, 17, 6170, {1, 3, 3, 9, 31, 59, 95, 131, 131, 321, 1125, 127, 4865, 145, 26237, 47871, 114549}},
+{6464, 17, 6182, {1, 3, 3, 13, 21, 3, 33, 17, 445, 693, 1599, 2517, 1679, 2237, 15053, 30983, 106755}},
+{6465, 17, 6196, {1, 1, 5, 13, 31, 37, 49, 67, 403, 27, 575, 1795, 3385, 1067, 585, 60277, 123189}},
+{6466, 17, 6199, {1, 3, 1, 15, 13, 35, 23, 247, 493, 305, 363, 451, 4011, 3679, 18281, 31751, 127933}},
+{6467, 17, 6200, {1, 1, 7, 5, 21, 45, 123, 253, 469, 267, 985, 2349, 3427, 7653, 25685, 13747, 531}},
+{6468, 17, 6205, {1, 1, 5, 11, 7, 59, 105, 209, 27, 847, 593, 3775, 6165, 1655, 29867, 28465, 92193}},
+{6469, 17, 6226, {1, 3, 1, 11, 7, 25, 101, 81, 233, 311, 9, 2735, 3951, 485, 10105, 24489, 649}},
+{6470, 17, 6228, {1, 3, 1, 7, 27, 5, 115, 243, 295, 659, 215, 1787, 5131, 2513, 29201, 21195, 103383}},
+{6471, 17, 6237, {1, 3, 5, 13, 29, 21, 7, 57, 345, 467, 1297, 207, 5115, 335, 6153, 32959, 125697}},
+{6472, 17, 6247, {1, 1, 1, 9, 3, 63, 63, 5, 373, 123, 1265, 2365, 1623, 1561, 14805, 17487, 104787}},
+{6473, 17, 6251, {1, 3, 1, 5, 15, 13, 55, 69, 251, 341, 463, 2611, 4793, 12157, 4669, 11613, 128705}},
+{6474, 17, 6253, {1, 3, 7, 13, 19, 7, 93, 149, 453, 693, 1731, 861, 6971, 943, 18891, 56547, 34411}},
+{6475, 17, 6256, {1, 1, 7, 1, 27, 49, 27, 9, 281, 121, 581, 393, 2583, 1159, 26989, 39955, 100765}},
+{6476, 17, 6268, {1, 1, 3, 9, 3, 43, 97, 207, 311, 617, 1987, 2559, 2101, 15791, 30085, 40713, 41909}},
+{6477, 17, 6272, {1, 3, 1, 3, 15, 19, 53, 183, 375, 867, 397, 3203, 4207, 5381, 25065, 60357, 88739}},
+{6478, 17, 6275, {1, 3, 3, 3, 27, 51, 85, 231, 19, 559, 567, 4049, 4875, 14201, 11623, 39763, 57339}},
+{6479, 17, 6281, {1, 1, 5, 1, 19, 7, 81, 249, 41, 789, 985, 3725, 4053, 4255, 9861, 1609, 29511}},
+{6480, 17, 6289, {1, 3, 5, 5, 21, 13, 49, 41, 367, 283, 1161, 2753, 4733, 3691, 27931, 53055, 83625}},
+{6481, 17, 6335, {1, 3, 5, 11, 29, 47, 95, 51, 265, 85, 385, 833, 7957, 14985, 7017, 41937, 41377}},
+{6482, 17, 6338, {1, 1, 7, 5, 1, 23, 17, 191, 185, 323, 515, 3183, 7685, 7361, 21143, 5227, 110297}},
+{6483, 17, 6355, {1, 3, 3, 7, 11, 39, 31, 97, 237, 497, 1649, 3529, 6153, 5055, 29021, 35125, 121581}},
+{6484, 17, 6362, {1, 3, 5, 3, 17, 47, 105, 75, 55, 343, 595, 2447, 5575, 10673, 32015, 37541, 127867}},
+{6485, 17, 6373, {1, 3, 1, 7, 19, 39, 31, 135, 167, 979, 219, 1353, 489, 9667, 27107, 55565, 72291}},
+{6486, 17, 6386, {1, 1, 3, 13, 31, 49, 87, 93, 235, 577, 1551, 2663, 387, 1129, 26683, 31285, 15913}},
+{6487, 17, 6388, {1, 3, 3, 7, 15, 29, 61, 33, 115, 511, 1781, 2029, 4265, 6745, 1467, 34415, 40907}},
+{6488, 17, 6391, {1, 1, 7, 5, 1, 55, 13, 129, 167, 937, 79, 2047, 3589, 1979, 4153, 15229, 85745}},
+{6489, 17, 6397, {1, 1, 7, 15, 15, 25, 89, 129, 31, 435, 1359, 49, 2659, 2829, 8741, 25215, 4239}},
+{6490, 17, 6405, {1, 3, 5, 3, 11, 39, 95, 239, 187, 615, 1481, 3509, 1133, 13497, 24833, 59635, 45695}},
+{6491, 17, 6406, {1, 1, 5, 3, 19, 17, 17, 235, 315, 943, 883, 1381, 7129, 15709, 9847, 41183, 116071}},
+{6492, 17, 6410, {1, 1, 1, 3, 9, 63, 109, 209, 309, 1015, 1391, 2617, 1481, 6483, 4151, 28063, 49887}},
+{6493, 17, 6417, {1, 1, 5, 13, 23, 37, 31, 89, 501, 461, 41, 931, 7863, 15499, 25635, 16995, 41651}},
+{6494, 17, 6443, {1, 1, 1, 9, 29, 29, 125, 161, 219, 439, 1465, 1615, 7483, 7497, 1121, 49693, 30269}},
+{6495, 17, 6457, {1, 3, 1, 5, 7, 43, 27, 161, 431, 375, 419, 2995, 527, 8207, 747, 18491, 15351}},
+{6496, 17, 6468, {1, 1, 3, 13, 25, 21, 67, 177, 9, 453, 1171, 65, 2845, 16147, 12699, 30905, 122255}},
+{6497, 17, 6475, {1, 3, 1, 5, 29, 47, 77, 251, 473, 385, 947, 3239, 5375, 13617, 10639, 36005, 95821}},
+{6498, 17, 6486, {1, 3, 1, 15, 13, 1, 75, 223, 509, 19, 175, 1541, 637, 5711, 1097, 44901, 35277}},
+{6499, 17, 6489, {1, 3, 3, 7, 3, 27, 17, 151, 39, 583, 391, 2739, 7339, 2051, 17005, 49573, 85969}},
+{6500, 17, 6495, {1, 3, 1, 11, 3, 25, 119, 125, 17, 629, 201, 2347, 2923, 1273, 14871, 58299, 97667}},
+{6501, 17, 6499, {1, 1, 7, 1, 31, 39, 11, 121, 339, 667, 1863, 3479, 1895, 11319, 5683, 64969, 9261}},
+{6502, 17, 6505, {1, 1, 5, 9, 27, 61, 101, 221, 221, 583, 287, 707, 5931, 4225, 29537, 46097, 114361}},
+{6503, 17, 6511, {1, 1, 1, 9, 23, 47, 1, 35, 85, 1021, 151, 3153, 3867, 971, 31573, 4745, 107639}},
+{6504, 17, 6520, {1, 1, 7, 13, 15, 15, 63, 37, 291, 907, 411, 1571, 6415, 7443, 26635, 27945, 130909}},
+{6505, 17, 6529, {1, 3, 1, 9, 21, 13, 77, 147, 485, 107, 235, 481, 2389, 957, 11493, 53033, 46373}},
+{6506, 17, 6542, {1, 3, 5, 7, 3, 55, 125, 237, 205, 411, 1911, 4053, 5983, 15489, 29333, 44727, 62167}},
+{6507, 17, 6547, {1, 1, 3, 3, 17, 3, 59, 239, 209, 495, 447, 3427, 3425, 2347, 10057, 26147, 52243}},
+{6508, 17, 6550, {1, 1, 3, 1, 11, 31, 3, 139, 441, 997, 295, 1267, 2181, 6047, 32419, 62657, 24921}},
+{6509, 17, 6554, {1, 3, 7, 15, 5, 3, 11, 9, 211, 701, 1987, 2611, 6195, 14379, 22919, 15785, 52149}},
+{6510, 17, 6556, {1, 1, 7, 9, 7, 27, 35, 253, 343, 679, 103, 1217, 3983, 8677, 17671, 41347, 89355}},
+{6511, 17, 6560, {1, 1, 1, 5, 7, 55, 111, 115, 231, 999, 773, 2111, 3617, 2469, 16967, 60735, 24557}},
+{6512, 17, 6569, {1, 3, 5, 1, 29, 5, 77, 217, 131, 307, 473, 3595, 2713, 6503, 18459, 57245, 91897}},
+{6513, 17, 6572, {1, 3, 5, 13, 9, 33, 93, 31, 59, 343, 1337, 1971, 7593, 15629, 22693, 19885, 4139}},
+{6514, 17, 6590, {1, 3, 3, 3, 21, 33, 115, 205, 373, 587, 739, 669, 8065, 5339, 16507, 29455, 15863}},
+{6515, 17, 6592, {1, 3, 5, 11, 9, 43, 45, 41, 91, 87, 19, 1523, 5059, 9403, 6739, 36893, 6395}},
+{6516, 17, 6601, {1, 1, 5, 15, 19, 43, 81, 3, 401, 621, 1839, 1443, 179, 8085, 27021, 7757, 95011}},
+{6517, 17, 6610, {1, 3, 5, 15, 19, 21, 45, 167, 77, 977, 309, 431, 3437, 8327, 12895, 50521, 68473}},
+{6518, 17, 6632, {1, 3, 3, 15, 7, 21, 49, 169, 327, 271, 7, 785, 1767, 14747, 7083, 65223, 24213}},
+{6519, 17, 6635, {1, 1, 5, 9, 9, 51, 101, 197, 507, 839, 1413, 3131, 331, 15725, 32293, 60433, 86759}},
+{6520, 17, 6640, {1, 1, 7, 1, 17, 39, 127, 201, 341, 607, 1565, 1615, 1367, 16043, 28265, 29139, 63813}},
+{6521, 17, 6643, {1, 3, 5, 7, 9, 1, 107, 73, 121, 649, 1385, 3203, 2897, 8479, 28519, 34041, 1359}},
+{6522, 17, 6649, {1, 1, 7, 7, 21, 55, 19, 13, 415, 647, 2015, 107, 4167, 5033, 16849, 41407, 94387}},
+{6523, 17, 6659, {1, 3, 5, 13, 31, 27, 107, 95, 425, 679, 55, 3521, 6737, 11459, 19995, 64189, 44323}},
+{6524, 17, 6662, {1, 1, 3, 9, 17, 47, 29, 167, 17, 63, 5, 2505, 6483, 14089, 7127, 7907, 68555}},
+{6525, 17, 6666, {1, 1, 5, 3, 29, 3, 87, 107, 227, 893, 1821, 341, 5481, 13317, 10637, 8611, 28625}},
+{6526, 17, 6690, {1, 1, 1, 13, 11, 19, 59, 157, 397, 103, 1821, 3913, 3083, 6053, 1015, 25475, 94813}},
+{6527, 17, 6692, {1, 3, 1, 3, 15, 45, 1, 209, 335, 1015, 539, 2959, 1711, 2567, 30169, 147, 25383}},
+{6528, 17, 6704, {1, 3, 7, 1, 17, 5, 99, 121, 91, 531, 865, 1667, 5615, 4729, 7473, 21445, 37925}},
+{6529, 17, 6713, {1, 1, 7, 13, 3, 51, 27, 115, 439, 761, 1121, 1503, 3047, 2127, 29253, 48147, 10813}},
+{6530, 17, 6728, {1, 3, 7, 15, 1, 51, 33, 161, 509, 159, 1705, 3365, 7953, 14027, 3873, 29609, 33101}},
+{6531, 17, 6731, {1, 1, 5, 15, 15, 53, 119, 115, 433, 75, 497, 1259, 1681, 7715, 24767, 34647, 82007}},
+{6532, 17, 6734, {1, 1, 5, 3, 27, 63, 41, 181, 393, 439, 95, 2765, 7617, 817, 1311, 18595, 16921}},
+{6533, 17, 6746, {1, 3, 1, 15, 31, 7, 57, 89, 371, 745, 475, 3211, 6893, 10681, 18547, 28373, 127787}},
+{6534, 17, 6755, {1, 3, 5, 13, 5, 55, 45, 167, 147, 833, 765, 1153, 4037, 8503, 10751, 49541, 77489}},
+{6535, 17, 6757, {1, 3, 1, 11, 11, 7, 45, 167, 431, 759, 1035, 1367, 1649, 11711, 4915, 58915, 72479}},
+{6536, 17, 6764, {1, 1, 5, 1, 11, 3, 15, 135, 427, 637, 879, 1667, 6139, 14759, 25665, 13083, 67961}},
+{6537, 17, 6772, {1, 3, 3, 9, 1, 3, 73, 167, 269, 51, 1481, 3659, 7863, 7187, 3951, 10711, 5909}},
+{6538, 17, 6792, {1, 1, 3, 3, 9, 53, 101, 209, 109, 691, 1641, 919, 1083, 6247, 23041, 44681, 130105}},
+{6539, 17, 6797, {1, 3, 7, 5, 21, 55, 127, 9, 437, 225, 1599, 2575, 5407, 8099, 20009, 40339, 110581}},
+{6540, 17, 6821, {1, 3, 3, 13, 7, 41, 15, 137, 363, 337, 995, 1215, 3651, 11011, 27209, 53927, 78065}},
+{6541, 17, 6822, {1, 1, 1, 7, 11, 17, 27, 9, 481, 79, 905, 1297, 811, 10221, 463, 12979, 114731}},
+{6542, 17, 6831, {1, 1, 3, 13, 7, 59, 105, 79, 253, 699, 139, 3823, 4939, 12955, 32069, 7255, 18159}},
+{6543, 17, 6834, {1, 3, 5, 7, 29, 7, 79, 79, 147, 921, 425, 1423, 5967, 6397, 17393, 30009, 84075}},
+{6544, 17, 6851, {1, 3, 7, 13, 23, 45, 51, 141, 237, 443, 1101, 309, 4533, 7479, 22415, 31517, 120407}},
+{6545, 17, 6858, {1, 1, 5, 13, 3, 19, 97, 185, 59, 179, 1343, 2537, 3165, 16295, 25005, 49769, 78007}},
+{6546, 17, 6860, {1, 3, 7, 15, 11, 53, 127, 195, 309, 121, 1741, 1415, 225, 15645, 16365, 38729, 70061}},
+{6547, 17, 6871, {1, 3, 7, 11, 29, 35, 47, 109, 179, 3, 849, 2305, 3035, 15289, 31569, 28851, 90057}},
+{6548, 17, 6875, {1, 1, 7, 1, 13, 27, 93, 119, 439, 45, 623, 1263, 6595, 6669, 12981, 64721, 130109}},
+{6549, 17, 6884, {1, 1, 7, 13, 5, 43, 43, 99, 395, 417, 795, 3991, 5601, 13115, 12803, 52247, 39245}},
+{6550, 17, 6888, {1, 3, 3, 3, 15, 61, 85, 91, 407, 391, 359, 3885, 1925, 4873, 169, 41727, 129471}},
+{6551, 17, 6894, {1, 3, 3, 9, 11, 47, 3, 33, 355, 853, 1329, 1347, 1995, 8197, 10015, 787, 66773}},
+{6552, 17, 6919, {1, 3, 3, 13, 31, 31, 49, 195, 55, 185, 1743, 3523, 1781, 8469, 7623, 55933, 74953}},
+{6553, 17, 6940, {1, 3, 5, 15, 29, 31, 5, 45, 149, 71, 2033, 3171, 4601, 9941, 15005, 55709, 74403}},
+{6554, 17, 6950, {1, 3, 5, 3, 1, 27, 105, 7, 139, 805, 1877, 915, 1843, 11897, 29485, 19275, 44711}},
+{6555, 17, 6959, {1, 1, 5, 7, 25, 57, 111, 57, 401, 935, 1685, 2985, 2015, 13501, 14581, 53579, 117011}},
+{6556, 17, 6968, {1, 1, 5, 11, 13, 47, 63, 137, 145, 77, 1727, 2629, 7377, 6311, 537, 13703, 129503}},
+{6557, 17, 6981, {1, 1, 7, 9, 5, 49, 67, 51, 163, 989, 845, 7, 2141, 14467, 3197, 57581, 121087}},
+{6558, 17, 6988, {1, 1, 5, 3, 31, 49, 57, 103, 171, 491, 1109, 1255, 4353, 11927, 29525, 16685, 48469}},
+{6559, 17, 6996, {1, 1, 1, 3, 7, 29, 17, 111, 339, 747, 763, 179, 7747, 2483, 18415, 45301, 25155}},
+{6560, 17, 6999, {1, 1, 7, 7, 1, 41, 71, 109, 401, 815, 1311, 3933, 1349, 13327, 20847, 44391, 49721}},
+{6561, 17, 7015, {1, 1, 1, 15, 27, 57, 39, 129, 391, 701, 619, 3925, 701, 403, 11821, 30517, 22035}},
+{6562, 17, 7019, {1, 1, 5, 11, 21, 49, 109, 101, 497, 417, 73, 2727, 2899, 2777, 22161, 35561, 70211}},
+{6563, 17, 7022, {1, 1, 3, 3, 15, 43, 1, 159, 41, 833, 55, 2415, 5009, 9663, 31295, 29397, 3187}},
+{6564, 17, 7040, {1, 1, 3, 7, 27, 5, 113, 187, 453, 753, 1649, 1605, 2405, 11791, 4239, 20915, 54033}},
+{6565, 17, 7045, {1, 3, 1, 11, 1, 57, 49, 229, 283, 113, 345, 785, 8009, 11977, 30169, 63787, 32011}},
+{6566, 17, 7049, {1, 1, 7, 3, 5, 59, 57, 91, 327, 685, 219, 1949, 3095, 8389, 2035, 11903, 73461}},
+{6567, 17, 7055, {1, 1, 3, 3, 19, 59, 19, 37, 453, 1, 1811, 3263, 1807, 16147, 24861, 14003, 31747}},
+{6568, 17, 7073, {1, 1, 3, 11, 1, 53, 93, 203, 429, 629, 1931, 1487, 3301, 8805, 4901, 2459, 98555}},
+{6569, 17, 7076, {1, 1, 7, 5, 21, 5, 37, 135, 159, 749, 1589, 2631, 8145, 7279, 28397, 47113, 82309}},
+{6570, 17, 7085, {1, 1, 5, 15, 25, 61, 19, 51, 217, 495, 109, 1179, 2743, 12107, 12509, 13003, 94375}},
+{6571, 17, 7091, {1, 3, 3, 15, 11, 7, 67, 165, 57, 925, 427, 2549, 7189, 5917, 13113, 30933, 62703}},
+{6572, 17, 7103, {1, 1, 5, 5, 9, 5, 43, 5, 485, 159, 757, 3979, 4963, 3389, 29731, 48477, 113429}},
+{6573, 17, 7112, {1, 3, 5, 1, 5, 5, 81, 163, 493, 357, 2005, 1093, 5951, 1045, 10569, 40321, 56881}},
+{6574, 17, 7117, {1, 3, 1, 5, 7, 29, 11, 7, 7, 13, 1641, 1031, 4025, 16337, 24333, 9589, 37779}},
+{6575, 17, 7118, {1, 3, 5, 11, 15, 3, 69, 19, 141, 79, 749, 391, 4505, 6939, 3079, 3647, 22363}},
+{6576, 17, 7123, {1, 3, 3, 3, 29, 3, 7, 189, 183, 513, 1225, 239, 4203, 9197, 23507, 33089, 124433}},
+{6577, 17, 7126, {1, 3, 3, 13, 27, 37, 81, 221, 287, 891, 1197, 3501, 539, 2053, 20509, 48635, 50269}},
+{6578, 17, 7154, {1, 1, 5, 7, 13, 3, 35, 79, 3, 885, 343, 3527, 1043, 7197, 6973, 8515, 39315}},
+{6579, 17, 7180, {1, 3, 3, 9, 21, 53, 79, 225, 229, 759, 457, 293, 953, 12857, 20483, 3677, 93839}},
+{6580, 17, 7192, {1, 3, 5, 3, 5, 17, 45, 107, 153, 279, 761, 1923, 7013, 2989, 10137, 19107, 126897}},
+{6581, 17, 7195, {1, 3, 1, 3, 23, 53, 91, 1, 133, 729, 13, 2017, 6933, 7405, 1255, 49509, 105571}},
+{6582, 17, 7207, {1, 3, 5, 1, 9, 45, 35, 153, 209, 289, 1779, 2557, 315, 981, 15347, 30391, 16027}},
+{6583, 17, 7208, {1, 3, 3, 5, 17, 3, 51, 105, 263, 959, 1255, 1177, 8143, 10541, 7687, 38731, 93561}},
+{6584, 17, 7214, {1, 1, 1, 13, 19, 1, 15, 135, 447, 847, 663, 3893, 3539, 6833, 13265, 62923, 8375}},
+{6585, 17, 7222, {1, 3, 1, 15, 31, 11, 105, 1, 91, 523, 1583, 3493, 2665, 117, 10757, 29845, 127201}},
+{6586, 17, 7234, {1, 1, 1, 3, 29, 49, 9, 103, 309, 605, 1751, 1981, 833, 3653, 14001, 16545, 58513}},
+{6587, 17, 7254, {1, 1, 5, 9, 1, 19, 117, 71, 237, 765, 249, 1983, 2289, 6019, 26505, 31427, 64333}},
+{6588, 17, 7258, {1, 1, 3, 11, 15, 31, 5, 207, 347, 143, 11, 1987, 3569, 2051, 31051, 22193, 93289}},
+{6589, 17, 7264, {1, 1, 3, 5, 13, 15, 5, 73, 457, 611, 673, 2675, 8071, 13245, 19443, 14399, 99599}},
+{6590, 17, 7279, {1, 1, 1, 9, 11, 5, 103, 231, 31, 457, 1031, 2257, 3159, 8323, 31585, 26163, 45159}},
+{6591, 17, 7282, {1, 3, 1, 11, 29, 51, 29, 7, 89, 331, 783, 951, 6353, 15421, 12801, 8337, 119171}},
+{6592, 17, 7293, {1, 1, 3, 13, 23, 57, 63, 43, 505, 1, 657, 4005, 6327, 7545, 15455, 27097, 53649}},
+{6593, 17, 7297, {1, 1, 1, 5, 31, 7, 51, 107, 175, 461, 1893, 305, 157, 4819, 18549, 33087, 9499}},
+{6594, 17, 7322, {1, 3, 1, 3, 19, 45, 37, 9, 459, 143, 1327, 3611, 1899, 15109, 30151, 17911, 13233}},
+{6595, 17, 7324, {1, 1, 5, 15, 19, 49, 11, 227, 375, 661, 665, 259, 3659, 13723, 28239, 48159, 59209}},
+{6596, 17, 7351, {1, 3, 7, 7, 17, 49, 77, 161, 505, 713, 1521, 935, 3629, 5033, 26717, 47199, 3693}},
+{6597, 17, 7363, {1, 3, 5, 9, 17, 61, 1, 201, 259, 179, 1637, 2485, 4995, 2813, 19923, 43739, 32183}},
+{6598, 17, 7380, {1, 1, 3, 5, 1, 23, 125, 61, 225, 703, 2011, 1013, 6651, 14029, 27375, 23301, 80269}},
+{6599, 17, 7384, {1, 1, 3, 9, 11, 57, 37, 49, 321, 443, 1055, 1989, 4755, 8467, 22001, 18647, 112617}},
+{6600, 17, 7389, {1, 3, 1, 5, 5, 39, 21, 139, 101, 583, 1881, 2599, 4185, 15679, 22215, 19093, 76737}},
+{6601, 17, 7396, {1, 3, 1, 11, 31, 51, 85, 91, 159, 421, 2005, 1075, 7757, 12653, 25489, 3545, 62961}},
+{6602, 17, 7413, {1, 1, 1, 15, 27, 57, 75, 151, 357, 571, 395, 299, 5607, 12865, 2149, 21059, 120753}},
+{6603, 17, 7417, {1, 1, 1, 3, 15, 57, 63, 171, 265, 709, 1089, 677, 7243, 10207, 9789, 38431, 130415}},
+{6604, 17, 7431, {1, 3, 7, 5, 21, 9, 73, 149, 197, 773, 773, 3931, 4135, 5671, 2733, 57173, 90693}},
+{6605, 17, 7443, {1, 1, 5, 1, 23, 1, 47, 201, 33, 167, 1643, 4009, 2687, 5725, 28733, 27859, 55163}},
+{6606, 17, 7445, {1, 1, 5, 15, 25, 11, 57, 139, 471, 625, 1067, 3647, 6213, 15605, 23537, 5005, 32593}},
+{6607, 17, 7450, {1, 3, 1, 11, 17, 11, 25, 163, 199, 21, 1775, 3721, 2845, 15769, 2381, 27643, 19909}},
+{6608, 17, 7456, {1, 3, 5, 5, 21, 41, 23, 125, 401, 483, 535, 925, 7065, 1727, 3761, 8485, 3519}},
+{6609, 17, 7466, {1, 1, 3, 15, 27, 31, 11, 7, 93, 237, 611, 3635, 4747, 9751, 20607, 20473, 73935}},
+{6610, 17, 7468, {1, 1, 7, 3, 15, 19, 69, 169, 387, 291, 1981, 635, 3387, 15817, 20357, 47537, 107311}},
+{6611, 17, 7474, {1, 3, 7, 15, 13, 59, 31, 235, 399, 343, 1265, 2975, 6839, 13335, 5397, 58915, 31313}},
+{6612, 17, 7479, {1, 1, 7, 1, 3, 35, 81, 243, 387, 421, 1533, 799, 2615, 13219, 9041, 26967, 22677}},
+{6613, 17, 7486, {1, 1, 7, 15, 17, 41, 89, 115, 67, 569, 1647, 1831, 5533, 4629, 1413, 20037, 97343}},
+{6614, 17, 7497, {1, 1, 5, 1, 23, 41, 11, 149, 319, 377, 439, 1237, 4819, 14303, 14657, 61711, 129235}},
+{6615, 17, 7508, {1, 3, 3, 7, 9, 11, 79, 219, 249, 607, 1453, 2931, 3407, 13725, 28289, 42869, 96759}},
+{6616, 17, 7515, {1, 1, 5, 11, 7, 9, 101, 51, 11, 893, 697, 1221, 4237, 1873, 11191, 25517, 119861}},
+{6617, 17, 7533, {1, 1, 3, 11, 23, 23, 19, 245, 485, 317, 1945, 2339, 193, 9389, 30709, 33927, 95089}},
+{6618, 17, 7542, {1, 1, 3, 1, 27, 55, 5, 81, 63, 185, 223, 3639, 6093, 10053, 1793, 11885, 29307}},
+{6619, 17, 7546, {1, 1, 7, 13, 15, 41, 33, 133, 467, 457, 213, 3687, 1313, 2555, 19487, 44257, 108667}},
+{6620, 17, 7551, {1, 1, 3, 5, 31, 51, 53, 115, 449, 273, 1043, 2743, 1759, 2013, 28171, 57091, 76837}},
+{6621, 17, 7569, {1, 1, 5, 15, 21, 43, 11, 215, 151, 253, 913, 1889, 2799, 13787, 3869, 54413, 50991}},
+{6622, 17, 7572, {1, 1, 3, 13, 29, 19, 81, 123, 461, 203, 81, 555, 6601, 15689, 12637, 41467, 105343}},
+{6623, 17, 7595, {1, 1, 3, 13, 7, 21, 75, 111, 47, 481, 1519, 3299, 6199, 3501, 31323, 29215, 45607}},
+{6624, 17, 7603, {1, 3, 1, 3, 17, 51, 45, 223, 321, 233, 267, 3333, 3803, 3099, 4601, 29061, 88441}},
+{6625, 17, 7605, {1, 1, 5, 13, 23, 27, 7, 57, 273, 893, 773, 239, 6357, 15875, 5497, 21775, 108291}},
+{6626, 17, 7629, {1, 3, 1, 15, 25, 17, 11, 229, 175, 909, 691, 3507, 5247, 2933, 1741, 35059, 62841}},
+{6627, 17, 7632, {1, 3, 5, 1, 29, 7, 11, 69, 345, 87, 99, 3243, 5669, 11053, 1185, 6979, 117069}},
+{6628, 17, 7638, {1, 3, 5, 11, 13, 33, 23, 183, 89, 475, 643, 2773, 7899, 15219, 133, 5073, 129355}},
+{6629, 17, 7648, {1, 3, 7, 9, 23, 17, 31, 53, 455, 193, 1695, 2557, 1645, 12675, 27857, 50447, 121335}},
+{6630, 17, 7654, {1, 1, 3, 11, 15, 19, 41, 57, 305, 235, 1131, 1165, 1857, 13667, 19285, 29755, 118885}},
+{6631, 17, 7663, {1, 3, 7, 3, 9, 43, 107, 3, 275, 673, 677, 3769, 3097, 5497, 24911, 4617, 80505}},
+{6632, 17, 7675, {1, 1, 7, 9, 21, 39, 107, 155, 471, 753, 579, 2929, 4951, 4245, 25035, 41795, 86955}},
+{6633, 17, 7693, {1, 3, 1, 7, 31, 51, 27, 165, 147, 751, 709, 399, 45, 947, 9893, 32721, 122127}},
+{6634, 17, 7705, {1, 3, 3, 1, 31, 31, 73, 59, 351, 293, 845, 3139, 4177, 3537, 9465, 20689, 65837}},
+{6635, 17, 7717, {1, 3, 5, 9, 27, 29, 13, 115, 417, 435, 465, 1291, 5225, 11687, 29207, 39895, 55443}},
+{6636, 17, 7724, {1, 3, 3, 15, 29, 49, 111, 179, 221, 565, 787, 1811, 4055, 7863, 27273, 32975, 26985}},
+{6637, 17, 7727, {1, 1, 1, 7, 15, 49, 121, 145, 277, 27, 149, 965, 4903, 3497, 32333, 37217, 105073}},
+{6638, 17, 7735, {1, 1, 7, 1, 23, 29, 31, 77, 353, 349, 755, 2081, 4291, 567, 641, 41751, 20397}},
+{6639, 17, 7761, {1, 1, 5, 3, 25, 31, 97, 3, 405, 607, 965, 2981, 3217, 14695, 25977, 22457, 113539}},
+{6640, 17, 7767, {1, 3, 3, 15, 25, 3, 91, 125, 269, 825, 1163, 2181, 4247, 6813, 4699, 35091, 87771}},
+{6641, 17, 7783, {1, 1, 5, 9, 25, 23, 113, 145, 71, 31, 1115, 3729, 6793, 11869, 26509, 18779, 99499}},
+{6642, 17, 7784, {1, 1, 1, 9, 31, 51, 77, 217, 247, 599, 1541, 3217, 1383, 5203, 27971, 23647, 71823}},
+{6643, 17, 7798, {1, 1, 5, 7, 17, 35, 113, 73, 475, 511, 35, 1961, 5311, 2257, 1935, 58963, 94349}},
+{6644, 17, 7802, {1, 3, 1, 7, 27, 31, 67, 253, 95, 883, 1213, 855, 3429, 15049, 26715, 56099, 101797}},
+{6645, 17, 7811, {1, 1, 3, 5, 9, 9, 61, 57, 511, 537, 1803, 949, 1327, 3921, 11297, 13807, 64629}},
+{6646, 17, 7817, {1, 1, 5, 1, 31, 57, 105, 161, 309, 283, 1291, 2737, 7141, 7497, 25893, 14453, 35375}},
+{6647, 17, 7823, {1, 1, 3, 1, 21, 3, 77, 37, 13, 211, 1863, 1895, 8035, 5801, 25981, 12317, 48375}},
+{6648, 17, 7832, {1, 3, 7, 7, 25, 45, 13, 77, 185, 553, 1501, 1349, 5951, 15581, 32657, 18467, 128363}},
+{6649, 17, 7837, {1, 3, 5, 9, 23, 63, 105, 239, 213, 935, 1331, 3653, 2775, 6591, 6067, 34597, 19217}},
+{6650, 17, 7842, {1, 3, 7, 13, 15, 19, 79, 91, 391, 637, 1685, 2263, 3507, 2025, 2111, 15875, 14831}},
+{6651, 17, 7853, {1, 3, 3, 5, 7, 29, 81, 69, 511, 399, 343, 737, 2833, 1021, 10471, 18689, 36181}},
+{6652, 17, 7854, {1, 1, 5, 11, 21, 17, 39, 137, 145, 857, 583, 789, 8057, 15995, 32113, 64163, 37153}},
+{6653, 17, 7856, {1, 3, 3, 11, 9, 61, 87, 131, 487, 667, 1295, 493, 4629, 7719, 18157, 49715, 2051}},
+{6654, 17, 7861, {1, 3, 5, 9, 19, 5, 85, 3, 491, 353, 571, 2829, 4411, 343, 24781, 62325, 123959}},
+{6655, 17, 7862, {1, 1, 7, 13, 13, 39, 11, 31, 413, 285, 27, 2433, 3307, 6165, 26565, 40065, 102655}},
+{6656, 17, 7873, {1, 1, 5, 11, 25, 45, 7, 97, 9, 973, 1833, 2537, 1457, 7389, 24087, 38061, 122805}},
+{6657, 17, 7874, {1, 3, 5, 3, 21, 63, 77, 21, 249, 525, 1145, 1421, 8011, 3357, 15051, 30293, 127017}},
+{6658, 17, 7886, {1, 1, 5, 3, 13, 53, 81, 185, 303, 307, 1579, 841, 2277, 607, 10899, 34209, 215}},
+{6659, 17, 7914, {1, 3, 3, 13, 17, 1, 125, 145, 205, 763, 127, 1865, 4129, 849, 27247, 29845, 36515}},
+{6660, 17, 7927, {1, 3, 7, 13, 5, 59, 19, 71, 227, 111, 365, 1309, 5857, 6035, 32379, 11303, 127329}},
+{6661, 17, 7936, {1, 1, 1, 1, 19, 61, 79, 253, 459, 23, 725, 3615, 4583, 429, 13215, 31879, 4523}},
+{6662, 17, 7951, {1, 1, 1, 7, 19, 13, 53, 41, 243, 107, 1767, 983, 3483, 2249, 2209, 58895, 14805}},
+{6663, 17, 7963, {1, 1, 1, 9, 5, 63, 31, 85, 119, 307, 633, 3295, 841, 3495, 22965, 57587, 108271}},
+{6664, 17, 7966, {1, 3, 5, 9, 17, 13, 57, 49, 97, 613, 405, 2637, 3229, 14253, 4663, 61345, 33415}},
+{6665, 17, 7976, {1, 3, 1, 1, 17, 37, 63, 3, 5, 375, 1073, 3971, 665, 4445, 153, 20437, 38513}},
+{6666, 17, 7993, {1, 3, 3, 15, 5, 9, 77, 161, 409, 461, 443, 567, 5581, 8623, 27735, 9041, 5517}},
+{6667, 17, 8001, {1, 3, 5, 13, 13, 5, 19, 53, 263, 155, 557, 3973, 6841, 4829, 30751, 30025, 121973}},
+{6668, 17, 8004, {1, 3, 7, 9, 27, 37, 49, 243, 107, 1013, 1743, 1509, 4465, 15415, 4741, 41409, 72695}},
+{6669, 17, 8013, {1, 1, 3, 5, 11, 49, 39, 45, 21, 463, 875, 3681, 1901, 15325, 24553, 51369, 82227}},
+{6670, 17, 8021, {1, 1, 3, 15, 11, 35, 21, 91, 383, 149, 1815, 911, 4633, 12027, 12413, 22307, 120049}},
+{6671, 17, 8026, {1, 3, 5, 7, 7, 3, 15, 83, 477, 687, 145, 1705, 6893, 5233, 20171, 43337, 72603}},
+{6672, 17, 8028, {1, 1, 3, 9, 25, 35, 19, 173, 67, 5, 561, 2139, 4557, 4911, 26273, 38409, 22801}},
+{6673, 17, 8031, {1, 1, 3, 13, 15, 39, 85, 91, 91, 187, 1851, 1181, 4049, 16353, 26525, 43703, 19415}},
+{6674, 17, 8035, {1, 3, 1, 9, 13, 41, 77, 179, 415, 705, 693, 3017, 5847, 16191, 11435, 28979, 51839}},
+{6675, 17, 8042, {1, 1, 3, 5, 23, 15, 3, 159, 269, 67, 625, 4043, 4701, 1599, 6467, 10949, 80073}},
+{6676, 17, 8071, {1, 3, 3, 15, 7, 43, 81, 157, 393, 321, 1875, 2801, 4359, 11703, 1063, 64015, 109997}},
+{6677, 17, 8085, {1, 1, 7, 3, 25, 21, 37, 123, 133, 691, 973, 3115, 2291, 10519, 13339, 22751, 85445}},
+{6678, 17, 8092, {1, 3, 1, 1, 21, 21, 9, 23, 431, 679, 1873, 289, 4503, 3939, 14417, 36081, 18709}},
+{6679, 17, 8102, {1, 3, 5, 5, 1, 53, 109, 133, 33, 279, 727, 2233, 3065, 8557, 7487, 25797, 109177}},
+{6680, 17, 8105, {1, 1, 7, 7, 1, 9, 47, 127, 179, 757, 1985, 547, 169, 13393, 22669, 58795, 92897}},
+{6681, 17, 8114, {1, 3, 5, 11, 17, 21, 95, 219, 263, 579, 1493, 3283, 5461, 1235, 1749, 33325, 36033}},
+{6682, 17, 8123, {1, 1, 3, 11, 21, 49, 45, 143, 511, 983, 1933, 965, 7905, 1925, 27857, 40723, 68251}},
+{6683, 17, 8131, {1, 3, 7, 3, 27, 9, 73, 7, 441, 877, 107, 1599, 4795, 7251, 6819, 7671, 21137}},
+{6684, 17, 8140, {1, 1, 3, 3, 21, 25, 49, 43, 247, 949, 627, 2859, 2507, 4787, 11269, 53221, 126387}},
+{6685, 17, 8145, {1, 1, 5, 3, 5, 53, 127, 65, 353, 521, 1701, 2981, 3201, 611, 13475, 58015, 2605}},
+{6686, 17, 8157, {1, 1, 5, 13, 9, 39, 55, 103, 53, 281, 705, 2433, 6179, 3381, 31973, 30267, 91307}},
+{6687, 17, 8158, {1, 1, 7, 13, 31, 23, 29, 161, 347, 449, 123, 3427, 5731, 12691, 15175, 20487, 74695}},
+{6688, 17, 8185, {1, 3, 3, 15, 13, 19, 83, 137, 437, 317, 921, 913, 7979, 6665, 5313, 1435, 60271}},
+{6689, 17, 8186, {1, 3, 5, 7, 19, 23, 31, 131, 421, 95, 1999, 897, 4839, 1815, 12387, 45009, 2609}},
+{6690, 17, 8188, {1, 1, 1, 7, 3, 53, 121, 33, 47, 283, 813, 3841, 4449, 2543, 15211, 59285, 42551}},
+{6691, 17, 8192, {1, 3, 1, 13, 9, 43, 37, 167, 93, 417, 213, 2721, 3395, 2089, 13743, 32925, 91147}},
+{6692, 17, 8212, {1, 3, 7, 5, 31, 25, 97, 25, 19, 11, 543, 1889, 455, 5765, 9517, 56963, 131069}},
+{6693, 17, 8219, {1, 3, 1, 7, 3, 7, 87, 61, 209, 39, 1303, 1637, 6687, 8001, 5003, 47911, 110657}},
+{6694, 17, 8221, {1, 1, 5, 3, 11, 25, 99, 77, 379, 843, 1423, 2933, 7535, 4181, 32223, 49327, 48041}},
+{6695, 17, 8235, {1, 3, 3, 13, 9, 7, 85, 59, 47, 777, 401, 2449, 2795, 11289, 25023, 7725, 73887}},
+{6696, 17, 8237, {1, 1, 3, 5, 11, 51, 93, 57, 369, 871, 1175, 2705, 1253, 5169, 24691, 14243, 119667}},
+{6697, 17, 8249, {1, 3, 1, 3, 5, 7, 33, 171, 359, 115, 1909, 2003, 1413, 13829, 3471, 36185, 118399}},
+{6698, 17, 8260, {1, 1, 1, 11, 5, 49, 97, 145, 415, 731, 671, 2309, 7211, 11359, 22757, 15415, 70951}},
+{6699, 17, 8264, {1, 1, 3, 5, 7, 51, 61, 101, 375, 575, 1321, 2835, 7569, 9599, 4707, 7655, 53417}},
+{6700, 17, 8270, {1, 3, 1, 15, 9, 63, 25, 117, 203, 5, 1345, 2571, 5273, 2059, 4689, 27237, 23199}},
+{6701, 17, 8282, {1, 1, 3, 15, 15, 23, 69, 49, 349, 995, 5, 1565, 903, 10165, 9565, 6343, 16653}},
+{6702, 17, 8291, {1, 1, 3, 9, 21, 15, 69, 9, 463, 69, 1447, 2347, 5125, 7479, 18257, 14405, 51321}},
+{6703, 17, 8293, {1, 1, 7, 11, 23, 57, 57, 179, 17, 129, 999, 777, 6281, 1693, 31885, 31085, 29237}},
+{6704, 17, 8297, {1, 3, 5, 1, 25, 55, 15, 21, 199, 271, 1645, 1719, 2023, 10049, 15215, 11959, 44875}},
+{6705, 17, 8298, {1, 3, 1, 3, 29, 43, 83, 11, 281, 27, 429, 685, 7189, 9151, 8665, 9553, 115293}},
+{6706, 17, 8305, {1, 3, 1, 7, 17, 43, 125, 11, 189, 803, 713, 683, 7285, 4455, 18195, 45333, 32281}},
+{6707, 17, 8306, {1, 3, 3, 3, 11, 55, 21, 59, 173, 283, 709, 1561, 5391, 5097, 24725, 19217, 13769}},
+{6708, 17, 8311, {1, 3, 5, 13, 7, 29, 117, 207, 415, 525, 567, 1741, 3553, 6729, 433, 17619, 45971}},
+{6709, 17, 8318, {1, 1, 7, 7, 3, 23, 43, 43, 213, 823, 609, 1037, 3797, 4733, 30717, 61067, 89581}},
+{6710, 17, 8327, {1, 3, 5, 7, 11, 7, 7, 241, 379, 217, 739, 2815, 2549, 14297, 10283, 1509, 80613}},
+{6711, 17, 8345, {1, 1, 1, 1, 17, 45, 53, 229, 193, 893, 1881, 227, 6751, 7135, 20823, 36939, 27667}},
+{6712, 17, 8379, {1, 3, 3, 1, 15, 39, 27, 217, 101, 949, 1963, 2213, 2357, 4129, 11925, 841, 59259}},
+{6713, 17, 8390, {1, 1, 3, 3, 5, 53, 59, 255, 421, 1009, 683, 2171, 6691, 12489, 20865, 29363, 70611}},
+{6714, 17, 8394, {1, 1, 7, 15, 7, 31, 105, 141, 153, 401, 549, 3045, 5443, 11147, 18159, 24283, 21859}},
+{6715, 17, 8414, {1, 3, 7, 1, 11, 17, 17, 231, 175, 603, 1915, 111, 3203, 10627, 9687, 47235, 87057}},
+{6716, 17, 8417, {1, 1, 1, 11, 19, 21, 115, 41, 45, 727, 1523, 739, 3025, 10321, 27353, 63139, 16051}},
+{6717, 17, 8432, {1, 3, 7, 11, 13, 9, 33, 121, 237, 565, 2043, 2131, 3079, 12575, 2187, 14427, 85939}},
+{6718, 17, 8437, {1, 3, 1, 15, 21, 19, 91, 227, 485, 49, 101, 15, 1903, 4039, 23819, 40001, 66405}},
+{6719, 17, 8441, {1, 3, 1, 5, 15, 25, 65, 25, 393, 287, 1435, 1851, 6437, 5983, 13769, 37847, 120907}},
+{6720, 17, 8449, {1, 3, 7, 15, 15, 21, 97, 37, 359, 155, 807, 1421, 517, 13135, 2955, 56979, 52299}},
+{6721, 17, 8456, {1, 1, 5, 1, 27, 53, 79, 27, 467, 605, 267, 1193, 31, 6177, 12369, 32621, 38319}},
+{6722, 17, 8473, {1, 1, 1, 11, 27, 15, 15, 231, 205, 677, 331, 133, 3313, 7193, 8059, 36449, 21671}},
+{6723, 17, 8489, {1, 3, 3, 11, 19, 57, 113, 83, 399, 801, 1843, 2119, 2779, 14061, 30901, 28745, 120903}},
+{6724, 17, 8495, {1, 1, 1, 11, 5, 27, 121, 247, 467, 251, 1487, 251, 897, 3171, 28383, 22473, 1709}},
+{6725, 17, 8522, {1, 1, 1, 15, 7, 59, 123, 165, 123, 373, 167, 1323, 5239, 9027, 13791, 55593, 78785}},
+{6726, 17, 8524, {1, 3, 1, 11, 31, 11, 81, 229, 123, 183, 461, 1751, 5713, 2615, 27795, 1657, 39253}},
+{6727, 17, 8529, {1, 1, 7, 1, 21, 45, 107, 3, 283, 149, 549, 3731, 6435, 3595, 32753, 16079, 84257}},
+{6728, 17, 8545, {1, 3, 3, 15, 19, 9, 81, 37, 51, 341, 909, 985, 1503, 12787, 16129, 37789, 113515}},
+{6729, 17, 8557, {1, 3, 5, 13, 3, 33, 127, 219, 369, 341, 1191, 1305, 567, 2339, 31221, 49435, 114927}},
+{6730, 17, 8565, {1, 1, 7, 15, 29, 47, 103, 107, 257, 15, 2029, 2133, 2129, 11235, 29553, 49139, 33809}},
+{6731, 17, 8572, {1, 3, 3, 13, 23, 33, 105, 43, 155, 815, 1087, 2261, 2781, 3461, 7371, 4479, 123093}},
+{6732, 17, 8576, {1, 1, 1, 13, 17, 7, 89, 107, 143, 349, 637, 3651, 4153, 12131, 28393, 45781, 84133}},
+{6733, 17, 8582, {1, 3, 5, 11, 31, 47, 105, 101, 267, 403, 1853, 3977, 3277, 1737, 15503, 47365, 14361}},
+{6734, 17, 8594, {1, 1, 1, 13, 1, 63, 125, 107, 123, 183, 1027, 3491, 3597, 15949, 5779, 34665, 81257}},
+{6735, 17, 8629, {1, 3, 1, 9, 13, 5, 125, 41, 389, 73, 1487, 1983, 957, 12645, 13983, 7675, 72711}},
+{6736, 17, 8636, {1, 3, 7, 5, 17, 5, 25, 63, 211, 591, 261, 2345, 3883, 4403, 773, 43963, 93509}},
+{6737, 17, 8668, {1, 3, 3, 1, 11, 35, 15, 251, 225, 643, 537, 3769, 7593, 6113, 1377, 52185, 81459}},
+{6738, 17, 8678, {1, 3, 5, 15, 27, 27, 51, 35, 389, 853, 1437, 2803, 5739, 1887, 15099, 3299, 111827}},
+{6739, 17, 8701, {1, 1, 3, 15, 25, 63, 31, 201, 79, 131, 31, 3929, 4195, 13045, 8681, 48121, 110723}},
+{6740, 17, 8702, {1, 1, 5, 7, 11, 43, 101, 57, 69, 271, 189, 3087, 4893, 11365, 6945, 14285, 41961}},
+{6741, 17, 8708, {1, 1, 7, 9, 21, 61, 41, 123, 25, 947, 1619, 2895, 7879, 12397, 17405, 48139, 71519}},
+{6742, 17, 8712, {1, 3, 1, 15, 1, 27, 113, 225, 441, 855, 541, 357, 3111, 4867, 20571, 30627, 70123}},
+{6743, 17, 8745, {1, 3, 5, 3, 5, 33, 103, 1, 21, 93, 383, 407, 5145, 7857, 20289, 51943, 16223}},
+{6744, 17, 8754, {1, 1, 7, 15, 1, 13, 41, 215, 463, 417, 513, 3417, 1755, 16165, 7271, 3101, 54353}},
+{6745, 17, 8759, {1, 3, 3, 13, 19, 29, 5, 205, 245, 927, 1249, 773, 3653, 9959, 357, 40863, 37289}},
+{6746, 17, 8763, {1, 3, 3, 7, 3, 5, 85, 241, 29, 627, 1963, 3133, 1369, 503, 11449, 4699, 2573}},
+{6747, 17, 8766, {1, 1, 7, 15, 3, 35, 47, 157, 413, 437, 1627, 3953, 947, 12721, 22209, 34303, 81237}},
+{6748, 17, 8780, {1, 1, 5, 5, 1, 45, 47, 245, 253, 349, 1853, 3481, 6105, 7267, 3159, 38833, 117889}},
+{6749, 17, 8783, {1, 3, 7, 15, 23, 43, 25, 181, 121, 681, 479, 1239, 6155, 3317, 9419, 28717, 44643}},
+{6750, 17, 8786, {1, 3, 3, 15, 31, 43, 111, 99, 405, 991, 301, 1689, 7107, 16131, 16703, 24059, 40345}},
+{6751, 17, 8798, {1, 1, 3, 9, 25, 5, 107, 91, 117, 351, 1595, 163, 3007, 13743, 24535, 38671, 29745}},
+{6752, 17, 8804, {1, 3, 3, 5, 27, 47, 15, 195, 119, 919, 665, 1903, 1981, 7753, 21709, 33699, 15963}},
+{6753, 17, 8819, {1, 3, 1, 11, 23, 23, 75, 115, 477, 105, 541, 1111, 209, 13939, 17129, 7565, 75415}},
+{6754, 17, 8826, {1, 1, 1, 11, 7, 61, 123, 201, 305, 713, 779, 2059, 4899, 13733, 20529, 15617, 39833}},
+{6755, 17, 8835, {1, 1, 7, 11, 21, 7, 63, 113, 213, 871, 375, 29, 1925, 15237, 7091, 12229, 8457}},
+{6756, 17, 8838, {1, 1, 1, 7, 19, 57, 83, 91, 297, 255, 1993, 63, 5337, 4569, 21243, 40867, 46969}},
+{6757, 17, 8856, {1, 1, 3, 7, 13, 63, 91, 191, 281, 259, 1367, 3505, 5885, 10557, 12423, 56303, 14731}},
+{6758, 17, 8862, {1, 1, 5, 15, 27, 15, 29, 67, 115, 287, 253, 1497, 3739, 2183, 14427, 44931, 11547}},
+{6759, 17, 8871, {1, 3, 1, 9, 25, 61, 25, 113, 137, 819, 781, 3741, 2457, 7817, 31209, 20707, 93007}},
+{6760, 17, 8875, {1, 1, 7, 3, 5, 13, 23, 3, 365, 77, 1117, 3061, 4707, 3013, 27899, 10887, 78677}},
+{6761, 17, 8890, {1, 3, 1, 15, 1, 39, 85, 107, 483, 83, 603, 3121, 1995, 5241, 32319, 9515, 94551}},
+{6762, 17, 8892, {1, 1, 7, 3, 27, 13, 105, 41, 285, 237, 1589, 517, 2009, 10833, 1459, 26217, 50759}},
+{6763, 17, 8898, {1, 1, 3, 11, 27, 1, 127, 83, 355, 107, 1003, 657, 4997, 4123, 13151, 56601, 122307}},
+{6764, 17, 8927, {1, 1, 1, 7, 13, 17, 93, 75, 481, 473, 131, 1359, 4859, 1319, 23919, 50079, 128849}},
+{6765, 17, 8928, {1, 1, 3, 7, 9, 33, 111, 229, 11, 283, 1089, 3049, 1635, 959, 19109, 62821, 105391}},
+{6766, 17, 8945, {1, 3, 1, 3, 9, 47, 49, 169, 343, 929, 1379, 1985, 5867, 6053, 12179, 39727, 116053}},
+{6767, 17, 8952, {1, 3, 3, 15, 27, 39, 61, 113, 439, 719, 1313, 3701, 4793, 10275, 2943, 32405, 95457}},
+{6768, 17, 8955, {1, 1, 1, 1, 27, 49, 121, 171, 319, 365, 1593, 1655, 63, 6257, 18097, 35285, 112245}},
+{6769, 17, 8965, {1, 3, 1, 1, 19, 33, 89, 235, 281, 519, 1867, 525, 4475, 12059, 26611, 14789, 59541}},
+{6770, 17, 8972, {1, 3, 1, 15, 1, 51, 65, 71, 131, 599, 117, 2459, 7421, 7157, 24393, 48139, 53701}},
+{6771, 17, 8977, {1, 1, 7, 7, 1, 41, 57, 191, 207, 329, 43, 1235, 5671, 12243, 22549, 40751, 104513}},
+{6772, 17, 8990, {1, 3, 5, 13, 15, 21, 55, 187, 283, 209, 1511, 1329, 6665, 15953, 4521, 16879, 57625}},
+{6773, 17, 8996, {1, 1, 5, 3, 3, 53, 75, 123, 291, 663, 1893, 3669, 4903, 8575, 27971, 46977, 56357}},
+{6774, 17, 9025, {1, 3, 1, 5, 27, 41, 19, 199, 489, 197, 439, 3299, 6315, 6957, 15809, 35297, 5559}},
+{6775, 17, 9037, {1, 3, 5, 1, 3, 25, 109, 191, 33, 543, 125, 2309, 429, 14059, 3149, 45747, 47357}},
+{6776, 17, 9040, {1, 1, 3, 11, 15, 61, 109, 103, 305, 1, 1479, 2781, 6521, 8921, 23681, 9583, 87257}},
+{6777, 17, 9049, {1, 1, 7, 15, 5, 19, 121, 139, 177, 967, 1363, 705, 211, 11877, 22457, 34563, 7801}},
+{6778, 17, 9062, {1, 1, 7, 13, 9, 21, 103, 95, 483, 567, 5, 2095, 4659, 2447, 23521, 27273, 85867}},
+{6779, 17, 9068, {1, 3, 5, 15, 23, 55, 13, 237, 275, 113, 1431, 2931, 5165, 5317, 5625, 51865, 42177}},
+{6780, 17, 9076, {1, 3, 3, 7, 1, 23, 15, 171, 303, 43, 1137, 1255, 3843, 9049, 1799, 7075, 2115}},
+{6781, 17, 9079, {1, 1, 7, 5, 23, 53, 75, 129, 1, 511, 793, 265, 6535, 9641, 25173, 9449, 46949}},
+{6782, 17, 9099, {1, 3, 3, 1, 19, 39, 51, 173, 5, 281, 2047, 4065, 3225, 14587, 16947, 1459, 87227}},
+{6783, 17, 9107, {1, 3, 7, 13, 13, 53, 39, 115, 403, 37, 1533, 2727, 2229, 8291, 18687, 59553, 37629}},
+{6784, 17, 9114, {1, 3, 1, 9, 3, 55, 63, 191, 147, 321, 1287, 2419, 6881, 2249, 11141, 54839, 50263}},
+{6785, 17, 9123, {1, 1, 5, 3, 9, 61, 85, 139, 1, 409, 633, 53, 163, 14677, 13043, 12253, 106939}},
+{6786, 17, 9126, {1, 1, 7, 3, 19, 3, 7, 165, 497, 621, 1563, 1267, 8113, 2383, 17205, 13337, 102547}},
+{6787, 17, 9137, {1, 3, 3, 13, 15, 29, 23, 31, 481, 535, 471, 2125, 331, 9421, 29799, 27097, 5307}},
+{6788, 17, 9149, {1, 1, 1, 1, 31, 45, 47, 139, 235, 509, 889, 685, 1855, 13599, 24431, 62105, 109509}},
+{6789, 17, 9150, {1, 3, 1, 7, 3, 13, 25, 197, 111, 45, 1815, 1031, 4803, 349, 32369, 40837, 111529}},
+{6790, 17, 9155, {1, 1, 7, 1, 27, 9, 3, 73, 403, 321, 967, 2713, 6953, 16123, 8611, 48651, 120635}},
+{6791, 17, 9161, {1, 3, 5, 3, 3, 25, 69, 231, 249, 393, 1141, 1721, 7071, 3711, 15627, 21815, 104735}},
+{6792, 17, 9162, {1, 3, 1, 11, 19, 63, 77, 5, 55, 481, 1021, 119, 3941, 1227, 10997, 29513, 18923}},
+{6793, 17, 9167, {1, 3, 7, 5, 1, 11, 13, 99, 365, 797, 1993, 699, 3091, 11401, 3659, 15339, 90395}},
+{6794, 17, 9172, {1, 3, 5, 7, 31, 43, 55, 143, 273, 379, 1189, 1689, 4811, 5159, 3281, 63819, 57065}},
+{6795, 17, 9186, {1, 1, 1, 13, 9, 25, 9, 3, 461, 281, 959, 2439, 3187, 4837, 13857, 20221, 29733}},
+{6796, 17, 9188, {1, 1, 7, 11, 31, 17, 13, 101, 81, 921, 1329, 2421, 2747, 9435, 23313, 7093, 7547}},
+{6797, 17, 9191, {1, 1, 3, 3, 9, 51, 67, 95, 511, 1011, 1519, 4089, 5001, 1351, 15367, 50665, 92111}},
+{6798, 17, 9198, {1, 1, 5, 13, 27, 43, 115, 77, 439, 589, 31, 915, 7027, 697, 25143, 1443, 59093}},
+{6799, 17, 9200, {1, 1, 7, 3, 17, 5, 107, 117, 133, 649, 1309, 2979, 969, 9789, 12597, 24507, 106825}},
+{6800, 17, 9205, {1, 1, 7, 13, 1, 27, 97, 35, 431, 183, 199, 2619, 515, 89, 20281, 30291, 97977}},
+{6801, 17, 9206, {1, 1, 7, 1, 31, 9, 35, 11, 359, 21, 1875, 3227, 1307, 15691, 17343, 21163, 84671}},
+{6802, 17, 9215, {1, 3, 1, 11, 29, 21, 47, 137, 441, 841, 1641, 3283, 1371, 8835, 16287, 45009, 13779}},
+{6803, 17, 9227, {1, 1, 3, 9, 23, 53, 1, 99, 473, 649, 447, 2589, 5667, 15579, 6497, 44321, 46993}},
+{6804, 17, 9232, {1, 1, 7, 9, 31, 63, 95, 81, 197, 373, 1027, 3959, 7189, 13369, 17287, 53643, 12673}},
+{6805, 17, 9241, {1, 3, 1, 5, 25, 61, 79, 183, 489, 725, 1077, 1147, 113, 7357, 27505, 529, 61855}},
+{6806, 17, 9244, {1, 1, 7, 11, 19, 35, 73, 223, 125, 765, 1303, 2887, 7861, 14839, 9537, 27027, 94327}},
+{6807, 17, 9251, {1, 3, 1, 3, 17, 35, 63, 233, 317, 133, 1837, 3339, 4351, 10071, 5005, 13245, 34327}},
+{6808, 17, 9254, {1, 3, 1, 3, 17, 13, 59, 113, 247, 1015, 1831, 3391, 6337, 6853, 7145, 64309, 40109}},
+{6809, 17, 9275, {1, 3, 5, 13, 15, 23, 65, 203, 241, 545, 1521, 1253, 3171, 7777, 21145, 565, 87813}},
+{6810, 17, 9283, {1, 1, 5, 15, 31, 9, 9, 145, 409, 155, 409, 2935, 5817, 11427, 32617, 38167, 69465}},
+{6811, 17, 9285, {1, 1, 5, 11, 19, 31, 43, 85, 97, 931, 687, 1501, 3991, 2215, 11091, 64735, 56999}},
+{6812, 17, 9303, {1, 1, 1, 3, 7, 11, 101, 21, 345, 829, 531, 1475, 6617, 1187, 26885, 32135, 9733}},
+{6813, 17, 9304, {1, 3, 5, 11, 7, 49, 79, 197, 57, 15, 1845, 1485, 6167, 10887, 17083, 59367, 7411}},
+{6814, 17, 9313, {1, 3, 7, 5, 9, 33, 7, 91, 311, 847, 1435, 3573, 3693, 5369, 26817, 30105, 115337}},
+{6815, 17, 9314, {1, 3, 1, 9, 25, 43, 65, 69, 225, 337, 575, 1979, 5555, 8499, 8127, 33035, 52549}},
+{6816, 17, 9320, {1, 1, 3, 11, 17, 29, 71, 99, 379, 145, 1067, 2561, 7635, 5647, 32491, 56621, 93603}},
+{6817, 17, 9328, {1, 1, 5, 13, 25, 43, 75, 237, 407, 393, 1219, 3651, 7719, 11685, 26123, 62767, 1043}},
+{6818, 17, 9333, {1, 1, 7, 15, 13, 59, 9, 163, 273, 225, 873, 3201, 633, 6121, 18777, 58763, 77731}},
+{6819, 17, 9337, {1, 3, 7, 7, 3, 7, 99, 155, 279, 991, 799, 753, 7205, 9567, 23643, 38263, 19083}},
+{6820, 17, 9338, {1, 3, 7, 11, 11, 29, 65, 3, 207, 575, 253, 2407, 7935, 11323, 23239, 1923, 47737}},
+{6821, 17, 9340, {1, 1, 5, 9, 25, 47, 1, 25, 397, 1009, 193, 4031, 3023, 2029, 10561, 32363, 104405}},
+{6822, 17, 9353, {1, 3, 7, 9, 19, 55, 63, 179, 385, 97, 461, 3393, 8137, 8929, 17621, 9611, 58925}},
+{6823, 17, 9356, {1, 1, 1, 7, 1, 17, 127, 45, 157, 529, 809, 3545, 5173, 5083, 13325, 52295, 91261}},
+{6824, 17, 9364, {1, 1, 7, 9, 25, 49, 99, 79, 157, 535, 1569, 2195, 1725, 1187, 18423, 47957, 10043}},
+{6825, 17, 9373, {1, 1, 3, 7, 3, 31, 83, 45, 199, 665, 1261, 3497, 7885, 5761, 17187, 12041, 12867}},
+{6826, 17, 9374, {1, 3, 1, 7, 3, 55, 73, 215, 41, 1011, 1883, 1051, 7293, 1881, 27435, 29459, 130933}},
+{6827, 17, 9378, {1, 1, 3, 9, 21, 31, 113, 209, 35, 771, 365, 3151, 787, 3845, 26555, 13823, 36951}},
+{6828, 17, 9380, {1, 3, 7, 15, 13, 21, 119, 91, 15, 251, 1337, 2715, 1665, 3451, 8309, 11033, 127159}},
+{6829, 17, 9389, {1, 3, 1, 9, 9, 63, 5, 145, 357, 9, 859, 1565, 1141, 14689, 25121, 41337, 83357}},
+{6830, 17, 9395, {1, 1, 7, 11, 13, 63, 57, 151, 33, 595, 2025, 571, 4713, 11019, 26771, 16221, 92439}},
+{6831, 17, 9412, {1, 3, 3, 15, 29, 49, 93, 131, 167, 835, 33, 263, 93, 8475, 16139, 61237, 95081}},
+{6832, 17, 9422, {1, 1, 7, 13, 1, 57, 43, 91, 485, 841, 1415, 3083, 2665, 8521, 9825, 59955, 21763}},
+{6833, 17, 9439, {1, 1, 1, 1, 29, 47, 63, 107, 439, 847, 537, 2011, 7571, 3699, 23961, 54887, 92681}},
+{6834, 17, 9450, {1, 3, 7, 5, 27, 41, 105, 161, 95, 821, 451, 2627, 4687, 1899, 18851, 35167, 6869}},
+{6835, 17, 9452, {1, 1, 1, 11, 7, 7, 13, 163, 399, 471, 1587, 2561, 1241, 5365, 27189, 49883, 68101}},
+{6836, 17, 9482, {1, 3, 7, 9, 19, 5, 119, 251, 151, 359, 235, 2387, 3919, 7135, 17591, 1053, 6265}},
+{6837, 17, 9487, {1, 1, 5, 9, 13, 25, 43, 23, 453, 693, 517, 1235, 1045, 4299, 27877, 3733, 72269}},
+{6838, 17, 9489, {1, 1, 7, 1, 27, 43, 103, 249, 487, 67, 855, 3239, 2157, 8121, 4701, 37803, 49971}},
+{6839, 17, 9499, {1, 1, 3, 13, 1, 37, 125, 115, 365, 57, 1419, 4085, 7039, 10079, 14991, 48861, 61979}},
+{6840, 17, 9501, {1, 1, 5, 5, 3, 35, 109, 19, 219, 653, 1219, 1625, 6847, 11271, 4525, 56341, 57801}},
+{6841, 17, 9508, {1, 3, 7, 5, 31, 19, 37, 73, 185, 13, 1723, 1139, 5919, 11717, 27161, 13635, 51765}},
+{6842, 17, 9515, {1, 1, 1, 1, 19, 61, 53, 111, 215, 189, 1199, 591, 943, 2111, 17171, 15621, 128459}},
+{6843, 17, 9518, {1, 1, 7, 9, 17, 61, 101, 159, 85, 537, 15, 1427, 6139, 4091, 32639, 28655, 115385}},
+{6844, 17, 9520, {1, 1, 7, 5, 23, 31, 125, 7, 151, 967, 1079, 4059, 3287, 11673, 19307, 49469, 65981}},
+{6845, 17, 9526, {1, 3, 3, 1, 29, 59, 95, 119, 31, 427, 1653, 721, 5509, 6385, 17043, 45133, 74155}},
+{6846, 17, 9537, {1, 1, 3, 9, 13, 61, 35, 189, 1, 559, 119, 3719, 4137, 1369, 19147, 10923, 43909}},
+{6847, 17, 9552, {1, 3, 3, 13, 1, 41, 31, 185, 451, 379, 29, 153, 4121, 13153, 4171, 36993, 109241}},
+{6848, 17, 9571, {1, 1, 1, 9, 15, 41, 99, 17, 21, 93, 649, 2765, 6955, 10843, 12547, 64989, 63713}},
+{6849, 17, 9588, {1, 1, 7, 5, 5, 5, 73, 187, 473, 235, 1907, 409, 7335, 4429, 7493, 20703, 14505}},
+{6850, 17, 9613, {1, 1, 3, 11, 27, 59, 17, 103, 337, 117, 1241, 951, 3701, 10407, 16741, 46531, 56485}},
+{6851, 17, 9619, {1, 1, 3, 15, 11, 51, 111, 189, 137, 939, 97, 1563, 851, 13949, 1375, 41463, 61445}},
+{6852, 17, 9622, {1, 1, 7, 9, 19, 39, 117, 173, 165, 547, 483, 361, 6819, 15093, 13631, 29785, 29593}},
+{6853, 17, 9637, {1, 3, 3, 5, 15, 39, 41, 249, 455, 79, 233, 3133, 405, 9487, 23161, 32751, 117743}},
+{6854, 17, 9652, {1, 1, 5, 15, 7, 63, 7, 57, 127, 349, 1913, 1145, 3371, 3733, 30971, 35717, 60935}},
+{6855, 17, 9655, {1, 1, 7, 11, 7, 57, 49, 63, 51, 233, 855, 2125, 6961, 15011, 28503, 40549, 47175}},
+{6856, 17, 9661, {1, 3, 7, 1, 25, 49, 35, 39, 237, 545, 1637, 1401, 3279, 10499, 14463, 34973, 29485}},
+{6857, 17, 9664, {1, 3, 3, 13, 7, 13, 79, 141, 55, 277, 843, 3087, 2339, 6855, 10635, 13021, 11273}},
+{6858, 17, 9669, {1, 3, 1, 1, 11, 39, 51, 255, 119, 691, 559, 3287, 5485, 791, 19283, 51027, 8061}},
+{6859, 17, 9681, {1, 3, 7, 7, 3, 59, 119, 241, 185, 81, 1843, 2313, 7471, 15689, 2271, 59781, 107439}},
+{6860, 17, 9682, {1, 3, 3, 3, 17, 63, 93, 217, 329, 39, 583, 3031, 4315, 4623, 12557, 42063, 11877}},
+{6861, 17, 9688, {1, 1, 1, 1, 15, 57, 37, 233, 387, 639, 37, 425, 637, 1577, 16449, 33665, 80417}},
+{6862, 17, 9697, {1, 1, 1, 15, 25, 1, 67, 159, 423, 961, 959, 417, 5657, 8417, 8127, 29251, 105893}},
+{6863, 17, 9700, {1, 3, 5, 15, 31, 9, 87, 217, 259, 771, 1663, 2899, 1531, 7849, 1961, 61487, 55399}},
+{6864, 17, 9715, {1, 1, 3, 9, 21, 13, 39, 107, 89, 811, 449, 2569, 4617, 8977, 1649, 37721, 48943}},
+{6865, 17, 9722, {1, 3, 7, 15, 15, 59, 63, 195, 287, 677, 269, 1715, 3545, 3269, 5231, 46433, 25921}},
+{6866, 17, 9727, {1, 1, 5, 7, 19, 27, 57, 221, 243, 47, 1791, 2309, 2751, 4403, 7083, 34223, 64905}},
+{6867, 17, 9734, {1, 1, 1, 15, 1, 63, 119, 155, 383, 649, 429, 3857, 7309, 9823, 9539, 8933, 128573}},
+{6868, 17, 9740, {1, 3, 7, 11, 17, 19, 99, 19, 321, 415, 1501, 2123, 6119, 9705, 11397, 39521, 34327}},
+{6869, 17, 9743, {1, 1, 5, 15, 29, 37, 9, 95, 417, 19, 1637, 2949, 4961, 10743, 9619, 16045, 48083}},
+{6870, 17, 9745, {1, 1, 1, 11, 21, 17, 57, 23, 247, 201, 1781, 779, 2207, 2511, 4829, 13847, 77593}},
+{6871, 17, 9757, {1, 3, 1, 13, 7, 1, 95, 87, 223, 73, 1129, 383, 1355, 4965, 29645, 63465, 76281}},
+{6872, 17, 9761, {1, 3, 3, 13, 3, 47, 33, 123, 155, 621, 1019, 1817, 4083, 4723, 24701, 47503, 18007}},
+{6873, 17, 9762, {1, 1, 7, 15, 13, 41, 73, 93, 379, 923, 1183, 2475, 5901, 10599, 10053, 9941, 112107}},
+{6874, 17, 9767, {1, 1, 3, 3, 13, 35, 59, 231, 45, 1011, 1101, 2467, 2703, 10305, 12575, 7587, 25737}},
+{6875, 17, 9768, {1, 3, 7, 1, 21, 31, 9, 55, 373, 779, 397, 1551, 5139, 16339, 1769, 10413, 74059}},
+{6876, 17, 9774, {1, 1, 7, 15, 7, 3, 67, 179, 411, 217, 1219, 13, 1577, 13463, 12263, 41465, 83001}},
+{6877, 17, 9786, {1, 3, 7, 1, 21, 53, 7, 187, 395, 777, 391, 737, 47, 12681, 16749, 26507, 49415}},
+{6878, 17, 9796, {1, 1, 5, 7, 5, 57, 93, 53, 419, 731, 825, 487, 45, 9199, 20947, 56067, 45343}},
+{6879, 17, 9820, {1, 3, 3, 9, 31, 41, 35, 133, 63, 293, 1503, 51, 3111, 15711, 15051, 1965, 64951}},
+{6880, 17, 9823, {1, 1, 5, 9, 9, 47, 53, 229, 405, 621, 1795, 1923, 6609, 6983, 1695, 18021, 71893}},
+{6881, 17, 9839, {1, 1, 5, 9, 23, 13, 107, 13, 149, 759, 1113, 1329, 1747, 14159, 16705, 61841, 82955}},
+{6882, 17, 9844, {1, 3, 3, 9, 25, 49, 31, 145, 481, 609, 1847, 1485, 6345, 7859, 21231, 37303, 69975}},
+{6883, 17, 9851, {1, 3, 1, 15, 13, 49, 59, 221, 27, 517, 431, 3961, 6401, 8483, 10161, 37453, 128237}},
+{6884, 17, 9853, {1, 1, 3, 1, 3, 55, 37, 111, 263, 735, 655, 2831, 2219, 9449, 8413, 49585, 91355}},
+{6885, 17, 9863, {1, 3, 7, 1, 31, 33, 7, 55, 261, 977, 1215, 1967, 7297, 14815, 27009, 35001, 89671}},
+{6886, 17, 9864, {1, 1, 7, 11, 13, 21, 33, 151, 195, 373, 181, 1631, 355, 7857, 12555, 7531, 50417}},
+{6887, 17, 9877, {1, 3, 1, 15, 19, 25, 79, 195, 237, 385, 1531, 2509, 4371, 16103, 3575, 62265, 124251}},
+{6888, 17, 9884, {1, 3, 1, 11, 5, 61, 21, 159, 51, 37, 845, 3075, 8039, 14269, 10505, 36369, 73793}},
+{6889, 17, 9888, {1, 3, 5, 9, 11, 43, 67, 57, 271, 451, 989, 3705, 2481, 10717, 10861, 63785, 10183}},
+{6890, 17, 9897, {1, 3, 3, 5, 13, 29, 119, 171, 439, 459, 479, 3173, 3781, 11131, 6827, 53925, 119939}},
+{6891, 17, 9915, {1, 3, 7, 3, 27, 21, 1, 167, 79, 305, 1283, 1903, 5483, 5727, 17911, 16075, 97629}},
+{6892, 17, 9925, {1, 3, 1, 3, 23, 21, 29, 185, 227, 295, 915, 2033, 6269, 2089, 20785, 15207, 115675}},
+{6893, 17, 9949, {1, 3, 7, 15, 11, 15, 65, 103, 249, 27, 1805, 2079, 4797, 2535, 16865, 61449, 90923}},
+{6894, 17, 9954, {1, 3, 7, 9, 27, 41, 77, 181, 457, 677, 633, 1601, 8085, 2431, 7957, 55913, 38677}},
+{6895, 17, 9960, {1, 1, 5, 7, 11, 37, 3, 221, 79, 895, 1023, 653, 3925, 12755, 19729, 18221, 91123}},
+{6896, 17, 9965, {1, 3, 1, 5, 23, 61, 119, 191, 425, 41, 853, 3497, 6915, 1927, 5513, 55303, 4895}},
+{6897, 17, 9978, {1, 3, 5, 3, 7, 35, 47, 243, 167, 821, 267, 2149, 5797, 6329, 32495, 51037, 18313}},
+{6898, 17, 9986, {1, 1, 7, 9, 23, 29, 79, 205, 115, 839, 1217, 479, 1601, 9681, 1, 35293, 28731}},
+{6899, 17, 9992, {1, 3, 3, 5, 31, 17, 31, 161, 35, 953, 377, 451, 7985, 11371, 15115, 60131, 27033}},
+{6900, 17, 9995, {1, 1, 3, 9, 15, 19, 43, 215, 327, 429, 145, 1837, 725, 14775, 10465, 7367, 21271}},
+{6901, 17, 10005, {1, 3, 7, 13, 31, 17, 85, 49, 487, 795, 1679, 599, 3783, 3195, 2683, 53475, 38603}},
+{6902, 17, 10026, {1, 1, 1, 7, 19, 11, 71, 143, 443, 199, 1117, 3445, 6429, 12037, 13751, 43609, 101563}},
+{6903, 17, 10031, {1, 3, 5, 7, 29, 63, 65, 87, 305, 721, 851, 2235, 4987, 3051, 23015, 1281, 15755}},
+{6904, 17, 10040, {1, 1, 3, 9, 17, 3, 57, 47, 223, 305, 1409, 235, 4379, 5779, 27695, 22535, 9387}},
+{6905, 17, 10051, {1, 1, 3, 11, 25, 33, 75, 141, 155, 699, 85, 1729, 2551, 7101, 7739, 18025, 100819}},
+{6906, 17, 10057, {1, 3, 3, 13, 5, 45, 63, 83, 141, 383, 1931, 3343, 7397, 4823, 28893, 41279, 67805}},
+{6907, 17, 10072, {1, 3, 5, 7, 19, 29, 97, 67, 177, 583, 1783, 4007, 5087, 805, 30999, 23197, 117553}},
+{6908, 17, 10096, {1, 3, 5, 1, 25, 41, 33, 109, 511, 449, 653, 995, 5881, 2163, 13689, 54385, 97419}},
+{6909, 17, 10102, {1, 3, 3, 13, 25, 17, 49, 77, 497, 659, 783, 3513, 3735, 3541, 573, 50237, 99247}},
+{6910, 17, 10105, {1, 3, 1, 7, 17, 13, 37, 169, 19, 965, 289, 455, 6855, 11233, 7553, 7007, 57389}},
+{6911, 17, 10115, {1, 1, 7, 11, 5, 15, 11, 177, 75, 243, 453, 3861, 3091, 4625, 12489, 11537, 74199}},
+{6912, 17, 10124, {1, 1, 5, 13, 17, 21, 23, 57, 343, 985, 1755, 3947, 3899, 11847, 19321, 62295, 51265}},
+{6913, 17, 10139, {1, 1, 3, 9, 19, 37, 31, 243, 433, 725, 535, 3733, 33, 7885, 1425, 41919, 66507}},
+{6914, 17, 10145, {1, 3, 5, 11, 15, 11, 25, 255, 93, 33, 71, 2389, 1855, 317, 12773, 13311, 81927}},
+{6915, 17, 10148, {1, 3, 1, 3, 7, 55, 21, 175, 357, 235, 1679, 931, 2051, 14213, 20539, 38049, 122513}},
+{6916, 17, 10157, {1, 1, 5, 15, 5, 51, 127, 79, 297, 135, 1423, 2783, 7229, 14451, 27619, 7299, 49189}},
+{6917, 17, 10158, {1, 1, 1, 3, 5, 13, 9, 209, 455, 483, 1745, 323, 789, 7645, 26373, 61659, 23671}},
+{6918, 17, 10163, {1, 1, 1, 9, 23, 63, 99, 91, 377, 275, 275, 3005, 1563, 5945, 23825, 33211, 52753}},
+{6919, 17, 10180, {1, 1, 1, 1, 31, 55, 31, 109, 481, 581, 771, 197, 6155, 3465, 8451, 25925, 41159}},
+{6920, 17, 10187, {1, 3, 7, 13, 5, 33, 113, 161, 265, 493, 1723, 513, 5111, 10177, 21755, 5321, 58831}},
+{6921, 17, 10198, {1, 1, 7, 1, 21, 33, 117, 183, 89, 689, 1253, 2215, 6565, 3079, 16343, 22427, 96447}},
+{6922, 17, 10208, {1, 1, 1, 5, 15, 61, 5, 139, 111, 463, 573, 1907, 4615, 14975, 5715, 51017, 69827}},
+{6923, 17, 10214, {1, 1, 1, 13, 3, 3, 117, 249, 25, 361, 1177, 2901, 1601, 11381, 18981, 44811, 47117}},
+{6924, 17, 10220, {1, 1, 5, 3, 29, 5, 49, 221, 247, 57, 553, 1889, 479, 15581, 7035, 7293, 53065}},
+{6925, 17, 10237, {1, 3, 3, 3, 15, 49, 91, 187, 213, 981, 1417, 211, 3719, 13693, 17671, 16691, 57147}},
+{6926, 17, 10238, {1, 1, 7, 9, 7, 17, 109, 185, 459, 769, 1783, 899, 885, 2291, 30023, 26315, 7337}},
+{6927, 17, 10241, {1, 1, 5, 11, 11, 31, 73, 191, 95, 25, 1953, 1387, 1077, 7547, 9661, 57739, 76799}},
+{6928, 17, 10244, {1, 1, 7, 13, 23, 41, 69, 177, 407, 699, 1055, 3653, 1239, 8113, 12823, 1803, 117815}},
+{6929, 17, 10251, {1, 1, 1, 15, 1, 55, 71, 133, 401, 593, 605, 2855, 4569, 3533, 14141, 65457, 125655}},
+{6930, 17, 10253, {1, 1, 7, 9, 31, 55, 53, 11, 65, 17, 561, 925, 1561, 8929, 19859, 57111, 12777}},
+{6931, 17, 10256, {1, 3, 3, 11, 7, 59, 125, 205, 473, 655, 1429, 337, 6829, 7551, 27873, 11667, 39231}},
+{6932, 17, 10259, {1, 3, 3, 9, 13, 23, 25, 161, 443, 545, 1967, 1895, 6929, 5975, 17801, 41769, 30429}},
+{6933, 17, 10266, {1, 3, 7, 13, 15, 1, 99, 43, 45, 451, 21, 639, 7121, 4781, 2813, 419, 17761}},
+{6934, 17, 10284, {1, 1, 5, 13, 11, 9, 53, 83, 443, 441, 1601, 3177, 1913, 12211, 25835, 1733, 4793}},
+{6935, 17, 10290, {1, 3, 3, 1, 13, 15, 11, 187, 471, 699, 1751, 3279, 2305, 15259, 31541, 21357, 73763}},
+{6936, 17, 10331, {1, 3, 5, 9, 23, 11, 125, 57, 261, 479, 879, 719, 3221, 2943, 10593, 11521, 83979}},
+{6937, 17, 10334, {1, 3, 7, 13, 3, 39, 119, 135, 85, 417, 1675, 971, 7577, 12709, 20407, 26105, 97021}},
+{6938, 17, 10350, {1, 1, 5, 11, 15, 63, 83, 141, 281, 663, 1745, 2775, 5605, 9127, 553, 7177, 115969}},
+{6939, 17, 10355, {1, 1, 7, 1, 19, 47, 7, 165, 87, 95, 361, 1879, 6351, 2861, 9103, 37489, 24525}},
+{6940, 17, 10357, {1, 3, 3, 11, 9, 21, 51, 149, 375, 967, 1583, 1427, 1223, 11611, 7481, 36619, 128429}},
+{6941, 17, 10367, {1, 1, 5, 1, 3, 31, 7, 217, 453, 565, 1517, 2847, 6937, 1197, 24339, 44311, 66843}},
+{6942, 17, 10368, {1, 1, 5, 3, 3, 17, 127, 59, 3, 905, 531, 1179, 3559, 5175, 24627, 60941, 129457}},
+{6943, 17, 10377, {1, 1, 1, 7, 15, 15, 1, 31, 373, 643, 279, 3831, 4881, 9763, 17641, 43219, 83109}},
+{6944, 17, 10388, {1, 3, 3, 9, 5, 21, 41, 71, 371, 201, 573, 1481, 3631, 10783, 6679, 1089, 117347}},
+{6945, 17, 10407, {1, 1, 7, 7, 5, 25, 73, 63, 173, 197, 147, 981, 1491, 1597, 11733, 14285, 74021}},
+{6946, 17, 10421, {1, 1, 5, 11, 17, 15, 3, 175, 391, 503, 1745, 319, 791, 5607, 18173, 37319, 92025}},
+{6947, 17, 10434, {1, 3, 1, 1, 9, 37, 43, 81, 439, 951, 805, 251, 4625, 15617, 13715, 62263, 3827}},
+{6948, 17, 10439, {1, 3, 1, 1, 25, 21, 67, 191, 499, 205, 1355, 105, 1637, 563, 22291, 9045, 6545}},
+{6949, 17, 10440, {1, 1, 5, 5, 9, 3, 75, 75, 287, 303, 1767, 1789, 3437, 4637, 9605, 2537, 64935}},
+{6950, 17, 10443, {1, 1, 3, 3, 1, 51, 27, 155, 375, 149, 885, 187, 1551, 13109, 27011, 57301, 41047}},
+{6951, 17, 10446, {1, 1, 7, 5, 21, 23, 1, 81, 163, 231, 2039, 1519, 1279, 15379, 25549, 6711, 81499}},
+{6952, 17, 10457, {1, 1, 3, 5, 3, 37, 71, 243, 165, 365, 379, 351, 4649, 4287, 13395, 30329, 78383}},
+{6953, 17, 10469, {1, 3, 1, 1, 25, 63, 27, 215, 223, 699, 2029, 3737, 5947, 7287, 20813, 4931, 19345}},
+{6954, 17, 10476, {1, 1, 3, 15, 21, 7, 25, 187, 219, 53, 1749, 1797, 3533, 14307, 53, 11095, 75469}},
+{6955, 17, 10479, {1, 1, 3, 13, 27, 31, 91, 121, 481, 291, 915, 535, 4291, 5271, 12181, 55921, 125917}},
+{6956, 17, 10481, {1, 3, 1, 1, 3, 29, 21, 251, 361, 747, 997, 2989, 1809, 7235, 17855, 31027, 100689}},
+{6957, 17, 10494, {1, 3, 7, 1, 21, 13, 49, 93, 183, 673, 881, 1931, 7009, 2565, 26021, 53815, 19807}},
+{6958, 17, 10501, {1, 1, 7, 13, 9, 23, 47, 237, 487, 843, 1357, 919, 1753, 903, 2911, 31527, 73027}},
+{6959, 17, 10505, {1, 1, 1, 1, 25, 33, 97, 241, 421, 375, 73, 2541, 6231, 14659, 15335, 5915, 110791}},
+{6960, 17, 10516, {1, 3, 3, 7, 21, 17, 97, 125, 7, 271, 167, 475, 4887, 1847, 30173, 25913, 36659}},
+{6961, 17, 10532, {1, 1, 3, 15, 15, 37, 67, 5, 463, 423, 823, 941, 1551, 14175, 15377, 6017, 118297}},
+{6962, 17, 10541, {1, 1, 1, 7, 31, 51, 71, 127, 73, 517, 881, 3205, 6219, 11213, 14783, 64275, 70033}},
+{6963, 17, 10547, {1, 3, 1, 5, 17, 17, 57, 107, 359, 999, 1415, 757, 4743, 7775, 14111, 20075, 73269}},
+{6964, 17, 10550, {1, 3, 5, 3, 21, 57, 87, 43, 307, 777, 717, 3329, 4159, 12545, 31355, 31329, 41377}},
+{6965, 17, 10591, {1, 3, 7, 15, 25, 43, 19, 147, 487, 517, 977, 3625, 2311, 14173, 15167, 56563, 110417}},
+{6966, 17, 10597, {1, 3, 3, 11, 23, 1, 67, 157, 461, 169, 231, 1977, 5657, 865, 711, 24213, 76895}},
+{6967, 17, 10602, {1, 1, 7, 13, 5, 37, 51, 165, 331, 97, 431, 3819, 1379, 12083, 27521, 19689, 100119}},
+{6968, 17, 10610, {1, 1, 7, 15, 29, 21, 59, 193, 397, 467, 951, 3037, 2955, 13235, 20981, 63865, 30069}},
+{6969, 17, 10619, {1, 3, 3, 5, 7, 49, 41, 143, 319, 71, 353, 2159, 3043, 15317, 24095, 12017, 64393}},
+{6970, 17, 10631, {1, 1, 5, 13, 25, 45, 57, 153, 311, 805, 953, 1763, 5655, 3961, 12085, 58761, 76533}},
+{6971, 17, 10646, {1, 1, 3, 15, 29, 19, 71, 107, 203, 221, 1173, 1597, 1179, 9649, 21659, 10463, 8195}},
+{6972, 17, 10655, {1, 1, 3, 9, 31, 29, 53, 151, 247, 577, 543, 459, 8141, 5613, 12029, 24199, 118603}},
+{6973, 17, 10665, {1, 3, 1, 5, 1, 55, 103, 23, 405, 5, 181, 3805, 1103, 13389, 6725, 48733, 99639}},
+{6974, 17, 10673, {1, 1, 5, 9, 1, 47, 115, 231, 151, 885, 427, 2849, 361, 12969, 705, 41711, 53587}},
+{6975, 17, 10674, {1, 1, 3, 11, 9, 3, 11, 231, 77, 775, 657, 2721, 3431, 11919, 10425, 29405, 91561}},
+{6976, 17, 10680, {1, 1, 1, 5, 5, 7, 79, 41, 181, 333, 963, 3117, 7703, 2259, 16671, 51139, 27997}},
+{6977, 17, 10693, {1, 3, 7, 7, 13, 55, 59, 157, 377, 711, 1475, 1509, 1375, 6825, 13729, 28613, 109199}},
+{6978, 17, 10700, {1, 3, 3, 3, 13, 11, 51, 1, 67, 609, 467, 2161, 7693, 9019, 1847, 27969, 74863}},
+{6979, 17, 10721, {1, 1, 3, 3, 11, 33, 87, 217, 239, 505, 1451, 2801, 1417, 695, 29883, 15877, 99969}},
+{6980, 17, 10727, {1, 3, 3, 5, 3, 61, 9, 171, 57, 547, 2003, 2335, 2259, 3205, 5639, 21721, 25893}},
+{6981, 17, 10746, {1, 3, 1, 3, 19, 15, 83, 69, 47, 897, 627, 2839, 7123, 8567, 14707, 13159, 125139}},
+{6982, 17, 10748, {1, 3, 7, 11, 1, 59, 53, 33, 135, 1009, 1829, 3011, 1245, 421, 28909, 45517, 55071}},
+{6983, 17, 10757, {1, 1, 5, 9, 3, 27, 11, 243, 235, 683, 1329, 3145, 2141, 14027, 3707, 5933, 51965}},
+{6984, 17, 10761, {1, 1, 5, 7, 13, 63, 79, 105, 27, 195, 1657, 3107, 1245, 1681, 29619, 10589, 78197}},
+{6985, 17, 10770, {1, 3, 3, 7, 21, 1, 5, 79, 73, 125, 1587, 3053, 5977, 10745, 28343, 39023, 56201}},
+{6986, 17, 10776, {1, 1, 3, 15, 23, 21, 39, 41, 173, 913, 1267, 1323, 2967, 1979, 16763, 53753, 21905}},
+{6987, 17, 10782, {1, 1, 5, 7, 11, 11, 117, 151, 409, 345, 1461, 1703, 687, 557, 31651, 35507, 54909}},
+{6988, 17, 10791, {1, 1, 1, 15, 15, 49, 55, 223, 289, 765, 1737, 1117, 3717, 15465, 31949, 55061, 97091}},
+{6989, 17, 10792, {1, 1, 5, 9, 21, 29, 99, 13, 119, 35, 1461, 61, 5155, 6785, 15957, 11295, 52203}},
+{6990, 17, 10805, {1, 3, 5, 7, 23, 39, 73, 161, 465, 715, 153, 3529, 2243, 13773, 16573, 26233, 130263}},
+{6991, 17, 10810, {1, 3, 7, 9, 11, 51, 5, 149, 501, 119, 2047, 3417, 3955, 15055, 31633, 473, 127305}},
+{6992, 17, 10832, {1, 1, 1, 9, 31, 57, 91, 119, 215, 11, 1013, 3969, 1285, 11521, 8039, 36737, 86365}},
+{6993, 17, 10835, {1, 1, 5, 3, 7, 17, 9, 27, 59, 883, 541, 3027, 6219, 1091, 2453, 38247, 21323}},
+{6994, 17, 10841, {1, 1, 1, 1, 25, 39, 55, 249, 61, 313, 467, 1763, 4067, 8367, 32431, 44463, 66439}},
+{6995, 17, 10842, {1, 3, 3, 1, 13, 3, 37, 209, 21, 653, 1971, 3649, 6165, 3789, 12793, 56327, 60351}},
+{6996, 17, 10847, {1, 1, 7, 9, 31, 33, 21, 51, 313, 631, 515, 1761, 4149, 2601, 12481, 25975, 94061}},
+{6997, 17, 10853, {1, 1, 7, 15, 3, 7, 55, 129, 297, 735, 779, 633, 3265, 11713, 3893, 61197, 113991}},
+{6998, 17, 10860, {1, 3, 5, 13, 1, 15, 27, 253, 435, 595, 1163, 2753, 7399, 15225, 26215, 59753, 74933}},
+{6999, 17, 10871, {1, 1, 7, 7, 15, 23, 111, 43, 467, 957, 1687, 2893, 2315, 2025, 1475, 9061, 101611}},
+{7000, 17, 10878, {1, 1, 3, 3, 29, 41, 53, 169, 125, 415, 361, 869, 3399, 8821, 18193, 38575, 73979}},
+{7001, 17, 10881, {1, 1, 1, 15, 3, 5, 27, 5, 293, 765, 1809, 1961, 955, 12441, 10915, 2363, 49617}},
+{7002, 17, 10888, {1, 1, 5, 15, 19, 11, 3, 91, 59, 323, 545, 1177, 7967, 2729, 14085, 3283, 79859}},
+{7003, 17, 10894, {1, 1, 7, 13, 11, 17, 29, 163, 295, 951, 311, 3471, 1339, 10719, 701, 32377, 41685}},
+{7004, 17, 10901, {1, 3, 5, 7, 21, 19, 81, 247, 495, 767, 251, 3455, 6383, 7221, 19943, 64865, 33193}},
+{7005, 17, 10915, {1, 1, 7, 15, 23, 41, 63, 195, 311, 619, 211, 743, 889, 7627, 12527, 15865, 40103}},
+{7006, 17, 10918, {1, 1, 3, 1, 23, 23, 57, 221, 153, 27, 939, 3949, 411, 6357, 31985, 939, 91001}},
+{7007, 17, 10922, {1, 3, 5, 15, 7, 5, 35, 135, 245, 921, 307, 823, 775, 4891, 24575, 53503, 48147}},
+{7008, 17, 10936, {1, 1, 5, 7, 9, 31, 23, 139, 477, 495, 287, 807, 1855, 8321, 13963, 52197, 78509}},
+{7009, 17, 10954, {1, 3, 3, 3, 29, 59, 33, 83, 211, 65, 623, 1269, 1745, 16383, 10759, 57199, 14035}},
+{7010, 17, 10968, {1, 3, 3, 15, 25, 55, 69, 171, 411, 937, 731, 2275, 2597, 4133, 5089, 50507, 39989}},
+{7011, 17, 10971, {1, 3, 1, 9, 5, 47, 51, 21, 171, 913, 233, 43, 2673, 471, 27077, 57039, 32579}},
+{7012, 17, 10973, {1, 3, 5, 3, 29, 35, 5, 105, 233, 379, 77, 1775, 2409, 4597, 19879, 12691, 49739}},
+{7013, 17, 10978, {1, 3, 7, 13, 17, 29, 117, 177, 163, 927, 45, 3227, 7263, 5551, 9219, 32101, 122473}},
+{7014, 17, 10998, {1, 1, 7, 5, 31, 39, 75, 147, 311, 991, 1431, 3821, 6891, 9637, 17887, 661, 23067}},
+{7015, 17, 11009, {1, 3, 5, 13, 31, 53, 69, 79, 153, 329, 207, 479, 2395, 6505, 29553, 52023, 31531}},
+{7016, 17, 11021, {1, 3, 1, 7, 15, 7, 87, 233, 25, 275, 981, 1207, 3083, 16349, 30185, 60611, 120607}},
+{7017, 17, 11029, {1, 1, 5, 3, 21, 7, 47, 173, 291, 965, 65, 545, 7465, 4471, 2249, 34281, 107217}},
+{7018, 17, 11030, {1, 1, 3, 11, 19, 53, 17, 243, 193, 297, 1937, 1513, 4979, 14867, 15497, 10049, 9135}},
+{7019, 17, 11034, {1, 3, 1, 3, 25, 39, 29, 63, 231, 145, 247, 1745, 3439, 8635, 26687, 18595, 67123}},
+{7020, 17, 11050, {1, 1, 7, 9, 29, 33, 89, 175, 429, 675, 891, 1739, 3567, 5453, 30427, 33671, 83395}},
+{7021, 17, 11063, {1, 3, 1, 5, 31, 25, 69, 237, 235, 307, 1217, 3805, 153, 13387, 6209, 14179, 128725}},
+{7022, 17, 11064, {1, 1, 3, 3, 19, 45, 117, 135, 67, 601, 369, 3369, 5505, 2049, 24099, 22515, 96575}},
+{7023, 17, 11077, {1, 1, 1, 3, 3, 45, 29, 255, 327, 77, 1103, 4067, 2875, 6487, 5903, 26625, 19631}},
+{7024, 17, 11078, {1, 3, 5, 1, 31, 63, 115, 7, 255, 855, 913, 1779, 7001, 14387, 26765, 51987, 3191}},
+{7025, 17, 11105, {1, 1, 3, 11, 15, 43, 71, 247, 303, 231, 445, 3963, 3699, 11851, 18941, 43465, 63431}},
+{7026, 17, 11106, {1, 1, 3, 5, 31, 33, 93, 127, 267, 399, 653, 1997, 5005, 14535, 4813, 64065, 2159}},
+{7027, 17, 11126, {1, 3, 7, 13, 31, 39, 61, 155, 141, 515, 1217, 161, 4309, 3697, 22445, 43599, 43329}},
+{7028, 17, 11129, {1, 3, 3, 3, 7, 51, 103, 147, 511, 971, 195, 3731, 6629, 12125, 12053, 34951, 60059}},
+{7029, 17, 11135, {1, 1, 5, 11, 21, 49, 99, 31, 55, 309, 1805, 2253, 7095, 15265, 28445, 54813, 48615}},
+{7030, 17, 11151, {1, 3, 1, 15, 9, 41, 61, 125, 65, 143, 1567, 3259, 6757, 653, 31601, 63127, 52179}},
+{7031, 17, 11159, {1, 1, 5, 3, 29, 5, 19, 197, 153, 447, 7, 1713, 469, 6043, 1259, 63641, 29171}},
+{7032, 17, 11165, {1, 3, 3, 7, 3, 41, 95, 245, 445, 15, 607, 565, 2361, 2673, 21077, 20153, 6199}},
+{7033, 17, 11176, {1, 1, 5, 1, 5, 59, 93, 127, 485, 663, 683, 635, 1599, 16377, 31819, 6539, 27789}},
+{7034, 17, 11179, {1, 3, 1, 3, 31, 3, 11, 215, 441, 1005, 1815, 3945, 5109, 5539, 23935, 62671, 90731}},
+{7035, 17, 11182, {1, 3, 3, 1, 13, 47, 19, 229, 191, 427, 1141, 2321, 7105, 1587, 26347, 63265, 23377}},
+{7036, 17, 11189, {1, 1, 5, 15, 31, 55, 61, 93, 89, 945, 1203, 3631, 4457, 15097, 32019, 41747, 46009}},
+{7037, 17, 11204, {1, 1, 5, 13, 5, 33, 69, 59, 93, 247, 503, 421, 1923, 9855, 9825, 14257, 98663}},
+{7038, 17, 11216, {1, 3, 1, 13, 27, 21, 91, 39, 131, 571, 1527, 2715, 2061, 627, 19705, 47165, 84345}},
+{7039, 17, 11232, {1, 1, 1, 7, 3, 3, 7, 251, 225, 959, 1017, 2423, 6163, 1549, 7473, 3193, 104259}},
+{7040, 17, 11235, {1, 3, 3, 1, 5, 5, 115, 221, 505, 649, 1525, 2459, 167, 1899, 23939, 29253, 122835}},
+{7041, 17, 11242, {1, 3, 1, 5, 15, 9, 123, 221, 133, 43, 31, 1211, 4737, 5001, 20065, 6369, 93865}},
+{7042, 17, 11250, {1, 1, 5, 11, 11, 5, 23, 29, 333, 133, 1469, 1895, 5879, 15599, 2131, 25005, 96271}},
+{7043, 17, 11264, {1, 1, 3, 11, 25, 11, 19, 57, 397, 645, 1233, 2433, 6371, 10577, 15489, 60709, 3957}},
+{7044, 17, 11273, {1, 3, 1, 1, 19, 3, 33, 131, 429, 835, 1363, 2213, 3185, 14385, 8831, 43159, 32975}},
+{7045, 17, 11282, {1, 1, 5, 5, 23, 11, 127, 139, 213, 259, 897, 1913, 5737, 1287, 26617, 4885, 30193}},
+{7046, 17, 11288, {1, 3, 5, 13, 3, 27, 99, 31, 11, 27, 1003, 2473, 7055, 12923, 4269, 41433, 90637}},
+{7047, 17, 11291, {1, 3, 1, 7, 17, 25, 95, 151, 199, 237, 207, 1879, 2943, 9845, 3765, 53533, 111191}},
+{7048, 17, 11293, {1, 3, 1, 9, 19, 27, 5, 249, 85, 185, 1883, 1401, 2041, 12721, 20593, 30993, 2601}},
+{7049, 17, 11318, {1, 3, 3, 9, 23, 1, 15, 133, 387, 779, 707, 2723, 4485, 989, 27125, 37295, 125319}},
+{7050, 17, 11321, {1, 1, 7, 3, 9, 41, 81, 151, 349, 941, 357, 3817, 7123, 10079, 27519, 107, 102281}},
+{7051, 17, 11329, {1, 1, 1, 1, 13, 5, 111, 167, 73, 85, 1185, 1213, 333, 153, 13101, 38087, 39389}},
+{7052, 17, 11336, {1, 3, 3, 15, 11, 41, 99, 231, 377, 539, 1335, 1059, 5373, 9611, 27927, 29801, 85749}},
+{7053, 17, 11339, {1, 3, 1, 9, 19, 37, 125, 27, 15, 699, 1867, 2711, 1589, 1675, 32007, 61339, 96919}},
+{7054, 17, 11342, {1, 3, 3, 3, 3, 27, 21, 159, 249, 783, 1517, 2923, 2609, 1207, 13705, 57371, 43603}},
+{7055, 17, 11356, {1, 1, 5, 15, 17, 55, 77, 1, 401, 897, 987, 345, 5283, 5827, 17755, 44371, 13253}},
+{7056, 17, 11383, {1, 3, 1, 7, 3, 3, 99, 237, 487, 405, 771, 3503, 1199, 4779, 26893, 45821, 46383}},
+{7057, 17, 11389, {1, 1, 7, 3, 9, 47, 81, 27, 459, 989, 1891, 3997, 4081, 4075, 15079, 65081, 125185}},
+{7058, 17, 11405, {1, 3, 5, 9, 25, 23, 71, 251, 251, 197, 353, 3553, 2165, 2953, 3733, 52369, 100641}},
+{7059, 17, 11411, {1, 1, 1, 5, 25, 43, 63, 187, 495, 345, 1547, 2293, 7327, 7797, 14001, 61865, 40329}},
+{7060, 17, 11423, {1, 1, 5, 15, 25, 37, 67, 23, 315, 801, 71, 1235, 7293, 7207, 30929, 9417, 94735}},
+{7061, 17, 11424, {1, 1, 1, 3, 23, 29, 87, 171, 337, 457, 1597, 3933, 4151, 1237, 19563, 56997, 81497}},
+{7062, 17, 11430, {1, 3, 3, 11, 3, 33, 79, 239, 277, 611, 205, 2283, 7459, 425, 21999, 26491, 58681}},
+{7063, 17, 11444, {1, 1, 7, 1, 5, 37, 53, 93, 205, 97, 779, 3623, 7777, 521, 21915, 46539, 128811}},
+{7064, 17, 11447, {1, 1, 5, 7, 19, 7, 39, 183, 299, 193, 1351, 3867, 5709, 11655, 1231, 15555, 128023}},
+{7065, 17, 11459, {1, 3, 7, 11, 31, 13, 113, 57, 197, 841, 921, 2087, 2195, 8279, 8353, 1955, 22121}},
+{7066, 17, 11465, {1, 3, 3, 11, 21, 55, 61, 105, 357, 747, 363, 3511, 2547, 16283, 25747, 56041, 33695}},
+{7067, 17, 11473, {1, 3, 3, 13, 27, 13, 5, 27, 93, 691, 1869, 2331, 3131, 14411, 2355, 37195, 129273}},
+{7068, 17, 11479, {1, 3, 3, 7, 27, 9, 11, 165, 435, 811, 215, 1617, 347, 4289, 29373, 15749, 91445}},
+{7069, 17, 11501, {1, 1, 7, 13, 29, 3, 95, 53, 457, 633, 959, 3705, 7461, 9307, 21963, 51599, 6751}},
+{7070, 17, 11510, {1, 1, 1, 15, 29, 25, 95, 1, 125, 61, 683, 2067, 6485, 9095, 5571, 61281, 70865}},
+{7071, 17, 11514, {1, 1, 7, 7, 1, 35, 119, 107, 247, 991, 237, 1865, 3961, 12583, 11417, 14913, 90897}},
+{7072, 17, 11522, {1, 3, 7, 15, 11, 51, 73, 193, 289, 381, 1767, 3803, 3197, 3797, 15059, 19393, 98947}},
+{7073, 17, 11527, {1, 1, 5, 3, 13, 7, 91, 223, 347, 59, 1721, 1501, 6391, 4141, 14495, 47283, 47237}},
+{7074, 17, 11533, {1, 3, 7, 11, 17, 39, 43, 247, 35, 423, 1859, 3199, 5343, 7061, 8609, 6819, 88575}},
+{7075, 17, 11536, {1, 1, 5, 13, 31, 27, 57, 19, 499, 1007, 1965, 795, 1231, 12755, 24631, 53343, 82305}},
+{7076, 17, 11548, {1, 1, 1, 9, 13, 23, 127, 161, 245, 467, 2025, 2545, 3085, 13035, 27087, 14461, 35971}},
+{7077, 17, 11551, {1, 3, 5, 1, 7, 3, 99, 159, 75, 341, 1755, 2337, 5981, 5055, 19445, 30043, 61427}},
+{7078, 17, 11552, {1, 1, 1, 7, 13, 33, 41, 73, 267, 21, 961, 3509, 6839, 13215, 8471, 46735, 93071}},
+{7079, 17, 11555, {1, 3, 7, 7, 3, 25, 81, 239, 357, 445, 1483, 389, 3891, 5131, 21357, 34757, 111063}},
+{7080, 17, 11572, {1, 3, 7, 1, 1, 37, 119, 121, 195, 935, 1711, 2049, 7001, 7117, 9957, 7309, 102293}},
+{7081, 17, 11587, {1, 1, 7, 11, 1, 49, 107, 95, 149, 329, 289, 1121, 7217, 15091, 19071, 13801, 13}},
+{7082, 17, 11601, {1, 1, 1, 13, 17, 17, 7, 105, 81, 1017, 1867, 1567, 5133, 7325, 19797, 16301, 40471}},
+{7083, 17, 11613, {1, 3, 5, 5, 27, 45, 117, 135, 499, 53, 973, 121, 53, 8771, 11893, 35827, 57691}},
+{7084, 17, 11614, {1, 1, 1, 1, 7, 23, 11, 163, 17, 871, 129, 2959, 5583, 12253, 1419, 28367, 32539}},
+{7085, 17, 11618, {1, 1, 3, 5, 23, 31, 127, 33, 115, 799, 331, 1873, 1729, 1383, 23601, 51145, 72027}},
+{7086, 17, 11624, {1, 1, 1, 9, 15, 49, 105, 163, 51, 539, 451, 3983, 6509, 1073, 30757, 13971, 51371}},
+{7087, 17, 11630, {1, 1, 7, 1, 1, 57, 71, 135, 5, 171, 983, 951, 777, 9257, 3607, 3239, 76237}},
+{7088, 17, 11663, {1, 1, 7, 7, 21, 17, 49, 175, 9, 807, 289, 2777, 7309, 14911, 28349, 43871, 96019}},
+{7089, 17, 11682, {1, 3, 1, 13, 5, 7, 83, 215, 297, 319, 347, 633, 7285, 8293, 18811, 31065, 114077}},
+{7090, 17, 11684, {1, 3, 1, 11, 3, 29, 91, 231, 161, 601, 355, 2719, 2941, 6065, 21849, 58051, 46515}},
+{7091, 17, 11702, {1, 1, 3, 9, 25, 41, 111, 135, 71, 755, 29, 131, 1339, 5053, 15713, 14557, 106777}},
+{7092, 17, 11705, {1, 1, 7, 13, 21, 59, 13, 45, 503, 71, 1611, 4021, 2359, 11653, 7261, 14537, 33031}},
+{7093, 17, 11713, {1, 1, 1, 11, 5, 31, 1, 181, 37, 527, 1345, 1979, 4899, 3289, 25181, 49959, 44609}},
+{7094, 17, 11731, {1, 3, 3, 13, 21, 25, 33, 105, 57, 637, 841, 1595, 3881, 5053, 9441, 58717, 127255}},
+{7095, 17, 11734, {1, 3, 5, 7, 23, 57, 9, 117, 281, 769, 1573, 2857, 1139, 6413, 14001, 21097, 55215}},
+{7096, 17, 11740, {1, 1, 7, 7, 3, 5, 75, 149, 269, 353, 437, 61, 2451, 11987, 17243, 5649, 105107}},
+{7097, 17, 11747, {1, 1, 3, 3, 25, 61, 53, 21, 113, 57, 1415, 2825, 11, 14977, 6159, 4181, 96765}},
+{7098, 17, 11754, {1, 1, 7, 5, 15, 25, 121, 159, 71, 773, 601, 147, 6507, 16171, 16607, 32017, 77845}},
+{7099, 17, 11761, {1, 3, 1, 1, 27, 19, 59, 109, 347, 991, 165, 683, 6147, 493, 22017, 19069, 52857}},
+{7100, 17, 11762, {1, 1, 5, 5, 21, 1, 93, 115, 407, 15, 421, 1305, 3495, 14287, 31831, 65347, 35339}},
+{7101, 17, 11787, {1, 3, 5, 11, 29, 35, 87, 27, 453, 769, 1991, 2757, 2607, 9225, 293, 49441, 18185}},
+{7102, 17, 11792, {1, 1, 5, 3, 23, 41, 67, 195, 499, 903, 197, 1121, 4691, 9277, 29225, 34597, 37395}},
+{7103, 17, 11814, {1, 1, 7, 7, 21, 7, 65, 245, 241, 909, 1063, 2271, 1979, 10287, 1747, 61523, 72969}},
+{7104, 17, 11823, {1, 3, 1, 13, 23, 25, 3, 89, 385, 481, 1463, 3431, 6907, 1129, 3519, 35789, 82585}},
+{7105, 17, 11825, {1, 3, 5, 3, 31, 17, 11, 209, 77, 991, 885, 3341, 6895, 3429, 21611, 38555, 35475}},
+{7106, 17, 11837, {1, 1, 3, 1, 9, 61, 27, 219, 433, 787, 281, 1155, 2915, 4449, 30881, 34461, 15357}},
+{7107, 17, 11838, {1, 1, 3, 15, 27, 55, 51, 101, 117, 799, 1475, 4013, 5145, 14991, 27847, 49537, 57339}},
+{7108, 17, 11846, {1, 3, 7, 13, 13, 9, 13, 167, 283, 883, 1501, 2635, 1463, 3353, 14961, 30349, 62043}},
+{7109, 17, 11855, {1, 1, 7, 3, 3, 47, 119, 37, 389, 655, 701, 2471, 5749, 6645, 845, 27065, 82299}},
+{7110, 17, 11864, {1, 1, 7, 15, 27, 5, 95, 195, 227, 991, 1137, 3715, 4901, 9459, 1917, 43857, 126505}},
+{7111, 17, 11876, {1, 3, 7, 5, 29, 35, 45, 165, 361, 257, 641, 1265, 6533, 11333, 26081, 12621, 66909}},
+{7112, 17, 11885, {1, 1, 1, 11, 19, 55, 73, 137, 29, 355, 725, 1161, 6717, 2035, 19769, 43531, 72577}},
+{7113, 17, 11904, {1, 3, 7, 5, 19, 3, 99, 17, 387, 621, 137, 117, 6567, 7667, 14979, 17981, 68319}},
+{7114, 17, 11909, {1, 1, 5, 5, 7, 53, 31, 33, 245, 371, 691, 2763, 95, 16369, 7853, 29839, 34957}},
+{7115, 17, 11913, {1, 1, 3, 1, 9, 1, 83, 177, 17, 141, 1739, 1791, 3849, 3093, 22271, 53755, 7817}},
+{7116, 17, 11916, {1, 3, 3, 1, 3, 51, 71, 69, 439, 987, 807, 3353, 4747, 16031, 29591, 61091, 95675}},
+{7117, 17, 11940, {1, 3, 5, 1, 17, 47, 51, 211, 7, 5, 1751, 1735, 1647, 13389, 13861, 49427, 13577}},
+{7118, 17, 11943, {1, 3, 7, 5, 11, 23, 17, 55, 11, 61, 809, 927, 6533, 1509, 29261, 21555, 55075}},
+{7119, 17, 11972, {1, 3, 1, 1, 15, 51, 37, 47, 183, 117, 597, 3225, 1435, 13359, 19127, 17339, 17345}},
+{7120, 17, 11981, {1, 1, 5, 3, 5, 11, 33, 179, 295, 129, 29, 713, 1561, 27, 21087, 50305, 39253}},
+{7121, 17, 11990, {1, 1, 5, 7, 17, 25, 105, 241, 41, 915, 1223, 2625, 617, 10983, 10749, 2137, 101831}},
+{7122, 17, 11993, {1, 3, 5, 7, 15, 15, 85, 23, 193, 625, 1803, 2903, 1935, 523, 8377, 12165, 105851}},
+{7123, 17, 12000, {1, 3, 3, 7, 3, 35, 5, 107, 191, 855, 405, 1659, 5523, 5011, 6401, 45187, 31345}},
+{7124, 17, 12005, {1, 3, 3, 1, 9, 21, 103, 75, 501, 669, 547, 3685, 411, 2663, 14743, 13869, 124389}},
+{7125, 17, 12015, {1, 3, 5, 13, 15, 37, 39, 79, 19, 165, 1685, 1367, 5951, 12303, 13423, 51083, 119933}},
+{7126, 17, 12020, {1, 1, 3, 1, 7, 25, 1, 221, 415, 591, 859, 1457, 1789, 2269, 15947, 31913, 86397}},
+{7127, 17, 12038, {1, 3, 7, 15, 11, 49, 15, 171, 45, 925, 407, 1719, 4505, 5695, 17397, 28849, 77}},
+{7128, 17, 12042, {1, 1, 3, 11, 21, 33, 91, 115, 263, 141, 753, 3335, 7695, 1981, 6029, 22629, 2467}},
+{7129, 17, 12056, {1, 3, 5, 3, 25, 5, 21, 67, 429, 323, 223, 2395, 761, 14817, 12387, 37905, 19551}},
+{7130, 17, 12065, {1, 3, 1, 15, 31, 43, 35, 255, 73, 533, 1093, 965, 557, 607, 6913, 35283, 12261}},
+{7131, 17, 12066, {1, 3, 1, 15, 25, 13, 39, 83, 77, 269, 1205, 1577, 4095, 6669, 8643, 48807, 98227}},
+{7132, 17, 12072, {1, 3, 3, 7, 31, 57, 25, 177, 441, 973, 1255, 675, 5579, 4899, 27925, 52555, 70845}},
+{7133, 17, 12080, {1, 3, 1, 5, 13, 47, 15, 75, 387, 461, 1909, 841, 7, 9567, 913, 41411, 12565}},
+{7134, 17, 12083, {1, 1, 5, 7, 5, 21, 17, 189, 319, 645, 403, 2723, 6747, 15471, 26533, 12709, 49417}},
+{7135, 17, 12090, {1, 1, 5, 7, 7, 41, 99, 179, 137, 435, 1061, 3987, 4583, 4101, 23781, 54263, 36695}},
+{7136, 17, 12092, {1, 3, 1, 11, 19, 37, 125, 177, 111, 921, 1003, 1433, 1399, 3991, 28193, 40471, 97041}},
+{7137, 17, 12103, {1, 1, 7, 1, 5, 33, 7, 139, 127, 413, 1171, 2237, 265, 10145, 18793, 28957, 25037}},
+{7138, 17, 12109, {1, 3, 1, 1, 25, 37, 13, 17, 471, 195, 1645, 3165, 5635, 8433, 28507, 453, 107709}},
+{7139, 17, 12112, {1, 3, 3, 11, 1, 55, 119, 97, 243, 371, 95, 97, 7833, 777, 12177, 1861, 56323}},
+{7140, 17, 12117, {1, 1, 7, 5, 7, 29, 59, 219, 405, 411, 275, 111, 4899, 10367, 24331, 57295, 47065}},
+{7141, 17, 12121, {1, 1, 3, 3, 19, 23, 91, 111, 221, 195, 1013, 3001, 3227, 6359, 30383, 49699, 49157}},
+{7142, 17, 12137, {1, 1, 5, 7, 1, 21, 125, 23, 177, 291, 249, 861, 1899, 14101, 5079, 5211, 14373}},
+{7143, 17, 12143, {1, 1, 7, 11, 11, 59, 33, 41, 291, 919, 253, 609, 1657, 14633, 15189, 22245, 99815}},
+{7144, 17, 12145, {1, 3, 5, 3, 23, 49, 71, 137, 393, 343, 1845, 343, 5853, 6639, 17435, 62143, 76041}},
+{7145, 17, 12148, {1, 1, 5, 3, 9, 27, 55, 193, 25, 965, 1453, 2739, 3785, 12497, 29607, 11111, 25145}},
+{7146, 17, 12168, {1, 1, 1, 1, 29, 11, 111, 73, 491, 629, 405, 2779, 5313, 589, 1459, 47555, 67945}},
+{7147, 17, 12174, {1, 3, 1, 7, 13, 21, 99, 75, 79, 963, 207, 1725, 6875, 8359, 10573, 45219, 130463}},
+{7148, 17, 12188, {1, 3, 7, 13, 1, 17, 105, 227, 487, 891, 1053, 1333, 7651, 5415, 18661, 22085, 82055}},
+{7149, 17, 12191, {1, 1, 3, 3, 31, 27, 91, 93, 383, 331, 965, 3035, 4931, 13265, 9729, 28985, 118227}},
+{7150, 17, 12192, {1, 3, 1, 1, 11, 9, 59, 191, 253, 909, 301, 3811, 255, 14937, 28627, 54509, 95993}},
+{7151, 17, 12201, {1, 3, 3, 5, 11, 5, 105, 77, 323, 713, 637, 1857, 2697, 12473, 12261, 2933, 101287}},
+{7152, 17, 12224, {1, 3, 3, 11, 9, 63, 19, 19, 213, 859, 1479, 2849, 1067, 5749, 13511, 14933, 11125}},
+{7153, 17, 12230, {1, 1, 5, 9, 19, 19, 13, 49, 237, 511, 533, 543, 575, 8095, 27335, 18847, 18173}},
+{7154, 17, 12239, {1, 3, 5, 5, 9, 53, 47, 157, 35, 827, 637, 2327, 787, 5269, 5145, 10135, 111273}},
+{7155, 17, 12242, {1, 3, 3, 7, 27, 41, 69, 173, 53, 655, 809, 481, 6999, 3101, 20781, 2481, 94957}},
+{7156, 17, 12251, {1, 1, 5, 11, 17, 23, 95, 201, 363, 613, 863, 1365, 1131, 15417, 20705, 8283, 55235}},
+{7157, 17, 12258, {1, 1, 5, 13, 3, 15, 37, 219, 291, 595, 1665, 1861, 1953, 15385, 20569, 46085, 15163}},
+{7158, 17, 12264, {1, 3, 3, 11, 23, 43, 125, 133, 85, 45, 819, 243, 7325, 8723, 1499, 58139, 120353}},
+{7159, 17, 12310, {1, 1, 1, 11, 21, 49, 91, 145, 175, 619, 1817, 3533, 8155, 7521, 30361, 45431, 130175}},
+{7160, 17, 12319, {1, 1, 3, 1, 11, 59, 57, 51, 37, 903, 1221, 3813, 8043, 14165, 31503, 7905, 61515}},
+{7161, 17, 12323, {1, 1, 1, 1, 15, 9, 115, 175, 285, 839, 97, 3119, 719, 15283, 22947, 25417, 40665}},
+{7162, 17, 12325, {1, 3, 1, 7, 5, 49, 127, 111, 373, 747, 393, 2351, 4577, 15227, 23149, 16901, 80253}},
+{7163, 17, 12332, {1, 1, 5, 3, 15, 5, 95, 197, 251, 275, 831, 1389, 3907, 12343, 11599, 24369, 65361}},
+{7164, 17, 12343, {1, 3, 7, 5, 25, 37, 11, 75, 417, 789, 745, 811, 2189, 15381, 4785, 41657, 2897}},
+{7165, 17, 12344, {1, 3, 1, 13, 29, 55, 55, 33, 279, 383, 1645, 975, 4683, 1357, 1149, 30271, 90527}},
+{7166, 17, 12352, {1, 3, 5, 3, 5, 3, 79, 61, 371, 225, 141, 369, 1037, 12249, 29431, 37253, 9899}},
+{7167, 17, 12370, {1, 1, 3, 13, 13, 7, 127, 147, 507, 119, 1085, 1949, 6289, 10179, 10107, 55989, 74395}},
+{7168, 17, 12388, {1, 3, 1, 7, 21, 35, 53, 209, 103, 365, 683, 553, 4977, 14371, 24037, 11453, 45369}},
+{7169, 17, 12395, {1, 1, 5, 11, 27, 39, 41, 145, 437, 55, 893, 2375, 4977, 5451, 21225, 46815, 1423}},
+{7170, 17, 12403, {1, 3, 5, 1, 23, 53, 113, 75, 209, 323, 1975, 3809, 1829, 14625, 3821, 53773, 129173}},
+{7171, 17, 12409, {1, 1, 5, 3, 7, 51, 97, 73, 289, 481, 339, 1375, 3101, 4395, 13933, 33267, 68115}},
+{7172, 17, 12410, {1, 3, 5, 1, 5, 45, 83, 57, 3, 667, 109, 3979, 6447, 8603, 20147, 49291, 18023}},
+{7173, 17, 12415, {1, 3, 7, 1, 11, 7, 45, 233, 65, 745, 1009, 2979, 5965, 10681, 3499, 23077, 87479}},
+{7174, 17, 12419, {1, 3, 3, 3, 13, 25, 25, 189, 197, 83, 1429, 2857, 2877, 8577, 24811, 33049, 46009}},
+{7175, 17, 12426, {1, 1, 1, 7, 11, 47, 47, 255, 89, 625, 449, 3747, 2035, 3509, 4901, 2961, 14073}},
+{7176, 17, 12439, {1, 1, 1, 13, 9, 55, 35, 47, 389, 573, 847, 1037, 1345, 5487, 7575, 57435, 77303}},
+{7177, 17, 12445, {1, 1, 5, 11, 25, 51, 113, 109, 79, 339, 95, 2049, 5881, 13209, 20041, 26419, 110319}},
+{7178, 17, 12459, {1, 1, 7, 1, 27, 15, 93, 145, 253, 917, 1211, 2221, 1087, 14209, 32097, 20083, 67841}},
+{7179, 17, 12464, {1, 1, 3, 15, 13, 19, 67, 107, 75, 919, 2047, 3675, 6231, 1243, 14335, 35939, 17281}},
+{7180, 17, 12474, {1, 3, 7, 5, 27, 47, 53, 239, 475, 231, 1645, 825, 4039, 15985, 10853, 32951, 34985}},
+{7181, 17, 12484, {1, 1, 7, 5, 15, 61, 107, 93, 51, 221, 717, 2859, 7885, 9571, 11841, 45143, 33723}},
+{7182, 17, 12491, {1, 1, 7, 7, 9, 25, 63, 25, 47, 55, 2041, 3965, 215, 14857, 31669, 54775, 42157}},
+{7183, 17, 12501, {1, 3, 5, 1, 5, 45, 123, 109, 471, 599, 479, 475, 3499, 11963, 23709, 18851, 66861}},
+{7184, 17, 12505, {1, 3, 3, 3, 5, 29, 71, 81, 315, 329, 1471, 3995, 623, 5871, 11171, 15645, 97251}},
+{7185, 17, 12508, {1, 1, 7, 11, 15, 15, 101, 173, 445, 871, 765, 1121, 1937, 13055, 7309, 54175, 85559}},
+{7186, 17, 12511, {1, 3, 5, 7, 7, 13, 43, 237, 361, 981, 19, 3113, 4681, 3313, 19147, 35193, 87281}},
+{7187, 17, 12521, {1, 3, 5, 3, 27, 13, 37, 51, 233, 573, 1599, 2807, 7149, 12083, 28927, 7797, 130879}},
+{7188, 17, 12522, {1, 1, 1, 13, 31, 63, 127, 89, 209, 717, 1075, 3887, 1427, 87, 18565, 39973, 55025}},
+{7189, 17, 12530, {1, 3, 1, 5, 15, 11, 121, 247, 273, 613, 1857, 2059, 7399, 13951, 9025, 39523, 68121}},
+{7190, 17, 12544, {1, 3, 7, 13, 31, 9, 61, 143, 375, 433, 471, 1315, 5299, 1167, 10099, 11445, 51693}},
+{7191, 17, 12547, {1, 1, 7, 9, 25, 31, 125, 5, 13, 595, 621, 3551, 7959, 10643, 14345, 37683, 118377}},
+{7192, 17, 12561, {1, 1, 5, 11, 1, 33, 45, 31, 447, 229, 893, 3777, 4101, 2505, 4855, 14057, 20133}},
+{7193, 17, 12571, {1, 1, 1, 1, 7, 23, 89, 53, 483, 873, 521, 2115, 1461, 11241, 1003, 28749, 68227}},
+{7194, 17, 12580, {1, 3, 5, 5, 3, 17, 23, 219, 281, 975, 895, 4043, 6505, 5991, 27401, 38791, 89239}},
+{7195, 17, 12597, {1, 1, 1, 7, 29, 41, 63, 151, 195, 495, 469, 305, 7437, 1107, 31147, 30755, 116551}},
+{7196, 17, 12607, {1, 3, 7, 3, 13, 25, 33, 193, 23, 135, 3, 513, 4169, 15355, 2255, 32167, 68691}},
+{7197, 17, 12609, {1, 3, 3, 11, 29, 19, 125, 177, 83, 361, 393, 663, 1859, 1333, 17507, 10661, 72387}},
+{7198, 17, 12610, {1, 1, 5, 11, 23, 13, 61, 33, 149, 145, 995, 649, 7587, 6743, 25225, 54997, 10193}},
+{7199, 17, 12616, {1, 1, 7, 13, 29, 51, 107, 79, 467, 881, 1227, 1083, 3277, 2559, 26819, 57311, 48095}},
+{7200, 17, 12621, {1, 3, 1, 1, 1, 19, 23, 25, 239, 703, 119, 2525, 8079, 5433, 8989, 42517, 116755}},
+{7201, 17, 12624, {1, 1, 7, 11, 31, 9, 9, 113, 381, 363, 447, 3751, 7523, 15995, 3853, 42069, 81455}},
+{7202, 17, 12639, {1, 1, 5, 9, 29, 41, 103, 179, 477, 527, 1593, 3003, 1095, 6823, 6911, 44987, 32445}},
+{7203, 17, 12645, {1, 1, 7, 15, 5, 31, 55, 181, 149, 127, 1745, 2753, 801, 285, 20199, 33707, 118397}},
+{7204, 17, 12652, {1, 3, 7, 7, 11, 29, 89, 215, 351, 303, 1519, 2593, 2045, 14699, 1657, 40799, 39641}},
+{7205, 17, 12655, {1, 1, 7, 13, 3, 35, 73, 111, 15, 803, 1819, 3453, 3611, 8337, 14239, 14875, 83983}},
+{7206, 17, 12660, {1, 1, 5, 15, 15, 49, 27, 101, 149, 3, 717, 2229, 7397, 6579, 10965, 35997, 28823}},
+{7207, 17, 12667, {1, 1, 5, 7, 3, 17, 49, 245, 343, 657, 15, 749, 6413, 10811, 2909, 47309, 34613}},
+{7208, 17, 12686, {1, 3, 5, 15, 13, 35, 67, 99, 481, 379, 2003, 3367, 3065, 5845, 7799, 43931, 15263}},
+{7209, 17, 12688, {1, 1, 5, 13, 21, 49, 81, 77, 395, 919, 1931, 661, 123, 9965, 10487, 55131, 1567}},
+{7210, 17, 12697, {1, 3, 5, 11, 23, 39, 41, 121, 159, 473, 191, 1983, 6411, 10503, 10523, 40601, 64153}},
+{7211, 17, 12700, {1, 1, 5, 7, 9, 37, 73, 207, 497, 789, 1671, 325, 1697, 11281, 31185, 4961, 124431}},
+{7212, 17, 12707, {1, 1, 5, 15, 7, 51, 71, 91, 449, 707, 621, 2427, 627, 1747, 12779, 17569, 98289}},
+{7213, 17, 12710, {1, 1, 5, 5, 31, 3, 89, 163, 77, 647, 1747, 2965, 1669, 3311, 17651, 8111, 30739}},
+{7214, 17, 12719, {1, 1, 3, 11, 15, 31, 77, 173, 405, 913, 459, 2955, 6153, 13391, 20439, 64433, 12371}},
+{7215, 17, 12739, {1, 1, 3, 11, 13, 55, 29, 37, 379, 689, 407, 1373, 397, 5027, 15497, 25687, 48193}},
+{7216, 17, 12742, {1, 3, 3, 15, 13, 7, 81, 207, 395, 901, 779, 1683, 2491, 3807, 31979, 32403, 81113}},
+{7217, 17, 12746, {1, 3, 3, 13, 29, 31, 25, 81, 459, 991, 793, 3285, 2775, 16199, 11423, 52597, 86041}},
+{7218, 17, 12754, {1, 3, 3, 13, 17, 17, 101, 183, 19, 735, 671, 1097, 2461, 9863, 25985, 31915, 73047}},
+{7219, 17, 12765, {1, 3, 3, 3, 3, 11, 71, 63, 429, 899, 351, 1275, 3907, 14241, 19135, 14875, 43325}},
+{7220, 17, 12772, {1, 1, 7, 11, 11, 61, 15, 213, 411, 13, 1409, 1741, 5257, 8729, 28351, 6381, 77501}},
+{7221, 17, 12784, {1, 1, 7, 7, 29, 27, 51, 217, 411, 261, 599, 3027, 7871, 9133, 32423, 44275, 34701}},
+{7222, 17, 12789, {1, 3, 7, 7, 1, 1, 127, 209, 151, 845, 1421, 3115, 7775, 10133, 6163, 41165, 91187}},
+{7223, 17, 12800, {1, 3, 1, 9, 1, 35, 75, 3, 81, 477, 131, 1383, 1377, 6857, 3863, 12583, 7855}},
+{7224, 17, 12805, {1, 3, 1, 3, 3, 11, 1, 167, 347, 317, 557, 3763, 7175, 13341, 759, 23275, 78039}},
+{7225, 17, 12809, {1, 3, 5, 11, 19, 53, 85, 139, 67, 757, 487, 919, 6001, 16031, 24959, 28013, 65771}},
+{7226, 17, 12815, {1, 1, 1, 1, 23, 9, 83, 55, 249, 305, 1305, 109, 5559, 5129, 30973, 19889, 6691}},
+{7227, 17, 12827, {1, 1, 1, 3, 21, 19, 85, 89, 213, 847, 861, 1651, 6613, 6001, 8157, 2555, 98673}},
+{7228, 17, 12830, {1, 1, 1, 15, 25, 15, 125, 133, 177, 295, 549, 1763, 2811, 4381, 1079, 7813, 87909}},
+{7229, 17, 12833, {1, 1, 1, 5, 5, 17, 25, 225, 353, 997, 1565, 2225, 7265, 16227, 28209, 9011, 97193}},
+{7230, 17, 12840, {1, 3, 7, 15, 13, 13, 35, 239, 331, 965, 1547, 1627, 6409, 7745, 30899, 36915, 59293}},
+{7231, 17, 12851, {1, 1, 1, 13, 27, 45, 23, 179, 193, 801, 381, 3783, 3551, 11855, 11041, 49911, 62101}},
+{7232, 17, 12868, {1, 1, 7, 3, 3, 31, 61, 5, 421, 939, 1637, 217, 389, 1797, 32141, 28817, 6997}},
+{7233, 17, 12871, {1, 3, 3, 5, 21, 31, 83, 65, 421, 577, 1137, 2561, 2943, 4171, 2803, 23325, 92315}},
+{7234, 17, 12886, {1, 1, 3, 3, 27, 33, 75, 81, 477, 3, 1903, 773, 5551, 10069, 7285, 58103, 98311}},
+{7235, 17, 12899, {1, 3, 7, 15, 1, 17, 95, 209, 65, 747, 1633, 581, 7395, 1393, 21795, 15735, 129757}},
+{7236, 17, 12923, {1, 3, 5, 3, 17, 3, 9, 131, 51, 693, 1571, 1865, 8137, 915, 13345, 35137, 59005}},
+{7237, 17, 12926, {1, 1, 3, 7, 23, 27, 61, 163, 449, 87, 717, 1075, 4309, 4887, 11741, 24549, 96729}},
+{7238, 17, 12932, {1, 3, 7, 13, 21, 5, 3, 97, 191, 999, 1193, 1215, 5907, 10491, 2281, 6455, 68625}},
+{7239, 17, 12935, {1, 1, 5, 7, 9, 9, 101, 5, 375, 137, 1473, 1265, 5307, 259, 20699, 25367, 129393}},
+{7240, 17, 12939, {1, 3, 7, 7, 21, 1, 77, 65, 23, 139, 945, 491, 1069, 253, 12335, 26861, 129467}},
+{7241, 17, 12942, {1, 1, 3, 9, 15, 33, 85, 225, 45, 311, 281, 1601, 7325, 12265, 2591, 51955, 130681}},
+{7242, 17, 12953, {1, 1, 1, 3, 27, 33, 17, 89, 495, 91, 527, 3347, 7883, 9481, 28731, 54729, 15265}},
+{7243, 17, 12959, {1, 1, 3, 3, 9, 47, 115, 161, 299, 493, 1857, 3597, 7175, 15603, 11523, 33837, 57557}},
+{7244, 17, 12960, {1, 3, 7, 3, 15, 47, 127, 195, 391, 869, 99, 429, 7125, 10413, 5063, 61845, 71843}},
+{7245, 17, 13002, {1, 3, 3, 1, 7, 31, 27, 69, 7, 83, 315, 2749, 5693, 13377, 28091, 13065, 111029}},
+{7246, 17, 13004, {1, 1, 3, 15, 15, 45, 125, 229, 459, 611, 1167, 3375, 3587, 81, 9275, 45327, 39749}},
+{7247, 17, 13016, {1, 3, 7, 11, 9, 3, 43, 161, 221, 209, 51, 1475, 3577, 13973, 15285, 35553, 83935}},
+{7248, 17, 13021, {1, 1, 7, 9, 15, 55, 25, 119, 39, 537, 317, 1331, 2161, 1791, 19221, 63459, 124595}},
+{7249, 17, 13035, {1, 1, 1, 11, 9, 7, 113, 187, 295, 67, 1795, 113, 119, 9127, 32119, 7719, 67591}},
+{7250, 17, 13038, {1, 3, 7, 13, 1, 53, 17, 19, 331, 711, 359, 2945, 5847, 7237, 23617, 17411, 2203}},
+{7251, 17, 13052, {1, 3, 3, 7, 21, 63, 115, 159, 225, 161, 1255, 2381, 7411, 95, 1625, 30493, 56685}},
+{7252, 17, 13058, {1, 1, 5, 9, 13, 57, 5, 107, 195, 271, 677, 2081, 6027, 11091, 14171, 19007, 102119}},
+{7253, 17, 13069, {1, 3, 3, 3, 19, 13, 31, 155, 209, 89, 955, 523, 615, 5319, 16079, 9289, 49135}},
+{7254, 17, 13082, {1, 3, 1, 13, 1, 31, 69, 143, 329, 813, 635, 891, 2967, 5563, 19643, 35813, 14345}},
+{7255, 17, 13093, {1, 1, 5, 5, 17, 47, 97, 49, 123, 997, 15, 3685, 3925, 4973, 11195, 17115, 63709}},
+{7256, 17, 13094, {1, 1, 7, 13, 13, 17, 99, 149, 309, 281, 329, 905, 6487, 4495, 31831, 24413, 26431}},
+{7257, 17, 13100, {1, 1, 5, 5, 5, 47, 113, 115, 61, 157, 955, 2323, 4445, 229, 24049, 14753, 15189}},
+{7258, 17, 13115, {1, 3, 7, 15, 25, 21, 13, 137, 377, 45, 629, 1339, 8037, 5073, 24741, 48589, 28953}},
+{7259, 17, 13125, {1, 3, 3, 9, 3, 41, 7, 101, 333, 59, 1213, 1871, 3993, 11261, 4403, 42785, 58753}},
+{7260, 17, 13132, {1, 3, 1, 7, 5, 33, 87, 73, 317, 575, 1459, 905, 1033, 14179, 19595, 30269, 103853}},
+{7261, 17, 13143, {1, 1, 1, 1, 19, 49, 63, 181, 227, 401, 695, 1811, 2383, 3835, 14379, 30685, 114731}},
+{7262, 17, 13144, {1, 1, 5, 15, 9, 41, 35, 91, 357, 659, 155, 3725, 6509, 405, 25449, 37719, 6013}},
+{7263, 17, 13153, {1, 1, 7, 3, 11, 59, 33, 151, 291, 393, 741, 3961, 2787, 993, 10361, 11737, 42047}},
+{7264, 17, 13160, {1, 3, 7, 3, 15, 15, 55, 59, 419, 203, 55, 801, 2719, 15487, 13213, 58473, 50315}},
+{7265, 17, 13165, {1, 3, 7, 13, 17, 21, 113, 111, 159, 163, 711, 1135, 1133, 15519, 30515, 55777, 25025}},
+{7266, 17, 13173, {1, 1, 3, 5, 13, 25, 23, 3, 93, 873, 559, 1815, 3381, 5311, 14365, 34349, 17333}},
+{7267, 17, 13174, {1, 3, 5, 7, 15, 43, 85, 33, 23, 903, 1247, 3279, 1393, 12059, 19251, 19389, 5097}},
+{7268, 17, 13187, {1, 3, 1, 11, 21, 59, 3, 153, 403, 95, 1939, 2679, 419, 9035, 31219, 2897, 15727}},
+{7269, 17, 13190, {1, 3, 5, 1, 11, 21, 35, 169, 453, 15, 791, 3931, 1021, 16321, 6033, 10639, 16173}},
+{7270, 17, 13204, {1, 3, 1, 11, 7, 57, 39, 61, 381, 465, 451, 2863, 575, 5597, 31041, 8625, 82373}},
+{7271, 17, 13218, {1, 1, 3, 5, 13, 5, 63, 1, 75, 245, 1305, 285, 3367, 10107, 5853, 35275, 128255}},
+{7272, 17, 13247, {1, 1, 1, 3, 1, 57, 21, 91, 139, 669, 765, 1867, 2153, 10347, 26119, 35517, 4725}},
+{7273, 17, 13250, {1, 3, 5, 1, 21, 41, 59, 247, 473, 1015, 975, 485, 2161, 11941, 10341, 35245, 55587}},
+{7274, 17, 13262, {1, 1, 5, 9, 7, 59, 33, 149, 97, 619, 393, 3613, 6037, 10895, 19461, 15975, 47919}},
+{7275, 17, 13267, {1, 3, 3, 15, 7, 17, 95, 13, 147, 361, 915, 2585, 4483, 3159, 12255, 44685, 116163}},
+{7276, 17, 13274, {1, 3, 1, 15, 27, 31, 75, 31, 423, 233, 1453, 2815, 3633, 6531, 25721, 29649, 80645}},
+{7277, 17, 13304, {1, 3, 3, 3, 19, 7, 73, 33, 163, 495, 1483, 2277, 6455, 6523, 9331, 21869, 52175}},
+{7278, 17, 13309, {1, 3, 5, 13, 5, 1, 63, 35, 335, 189, 713, 2997, 3277, 10049, 4681, 16753, 17107}},
+{7279, 17, 13315, {1, 3, 5, 9, 3, 55, 29, 171, 395, 585, 671, 1875, 4449, 12895, 5455, 11023, 106189}},
+{7280, 17, 13317, {1, 3, 5, 3, 25, 53, 33, 169, 109, 285, 787, 861, 5549, 5171, 15293, 2977, 14559}},
+{7281, 17, 13324, {1, 3, 7, 1, 21, 25, 97, 115, 1, 999, 1033, 3471, 129, 16093, 495, 16859, 34615}},
+{7282, 17, 13332, {1, 3, 5, 9, 13, 5, 109, 41, 57, 957, 231, 3771, 2917, 15649, 8869, 14857, 64943}},
+{7283, 17, 13342, {1, 1, 7, 7, 21, 41, 101, 59, 167, 441, 997, 2951, 7891, 16325, 12669, 53829, 100705}},
+{7284, 17, 13346, {1, 1, 7, 9, 19, 59, 23, 141, 193, 237, 1067, 1823, 3351, 3239, 3135, 9275, 37069}},
+{7285, 17, 13355, {1, 3, 3, 9, 3, 17, 95, 73, 19, 231, 779, 3065, 2245, 2967, 24971, 62589, 16729}},
+{7286, 17, 13358, {1, 3, 3, 13, 25, 19, 117, 147, 443, 123, 157, 2037, 327, 14715, 5693, 54641, 33325}},
+{7287, 17, 13360, {1, 3, 1, 9, 21, 21, 21, 125, 49, 787, 767, 2831, 511, 2461, 31537, 27155, 44053}},
+{7288, 17, 13369, {1, 3, 7, 9, 31, 19, 125, 67, 119, 465, 287, 1869, 3979, 15723, 21069, 8581, 66939}},
+{7289, 17, 13372, {1, 1, 1, 11, 7, 37, 123, 237, 353, 499, 113, 3829, 217, 4751, 7385, 20343, 83699}},
+{7290, 17, 13398, {1, 3, 7, 13, 9, 3, 53, 27, 487, 87, 35, 2645, 3481, 14409, 27875, 31695, 78489}},
+{7291, 17, 13404, {1, 3, 3, 13, 9, 43, 67, 51, 153, 83, 591, 1991, 1787, 11973, 7273, 34801, 47199}},
+{7292, 17, 13407, {1, 3, 7, 1, 15, 53, 71, 11, 205, 853, 2011, 581, 1281, 7819, 23083, 33731, 74951}},
+{7293, 17, 13414, {1, 1, 5, 5, 17, 63, 109, 219, 225, 997, 1251, 3287, 1441, 13489, 22723, 45191, 50249}},
+{7294, 17, 13426, {1, 1, 5, 3, 13, 1, 43, 53, 293, 685, 1369, 1515, 7479, 3233, 20007, 65235, 102467}},
+{7295, 17, 13432, {1, 3, 5, 7, 29, 45, 63, 45, 219, 445, 2047, 317, 7553, 325, 1465, 949, 35163}},
+{7296, 17, 13466, {1, 1, 3, 9, 7, 31, 73, 211, 501, 233, 1495, 701, 5857, 10763, 9743, 10289, 23801}},
+{7297, 17, 13481, {1, 3, 7, 3, 23, 47, 99, 61, 179, 833, 1425, 1275, 4467, 4367, 5567, 23513, 68677}},
+{7298, 17, 13490, {1, 1, 5, 5, 27, 33, 119, 229, 329, 51, 1025, 3167, 3405, 4039, 4135, 6655, 43771}},
+{7299, 17, 13496, {1, 3, 7, 15, 5, 49, 91, 55, 425, 15, 2003, 1571, 3539, 10375, 29645, 5889, 51887}},
+{7300, 17, 13504, {1, 1, 7, 3, 13, 55, 85, 91, 181, 723, 1941, 75, 4443, 11507, 7027, 14189, 50685}},
+{7301, 17, 13516, {1, 3, 5, 5, 29, 49, 13, 3, 97, 165, 41, 3039, 3325, 2161, 775, 38501, 42381}},
+{7302, 17, 13527, {1, 1, 5, 11, 9, 57, 47, 109, 9, 585, 375, 1839, 937, 6877, 29847, 60163, 103081}},
+{7303, 17, 13533, {1, 1, 3, 13, 5, 47, 11, 195, 253, 235, 275, 2313, 163, 14683, 5681, 13381, 84553}},
+{7304, 17, 13537, {1, 3, 3, 15, 15, 1, 93, 157, 437, 557, 307, 1179, 6857, 3101, 16723, 50579, 69603}},
+{7305, 17, 13552, {1, 1, 5, 9, 11, 29, 23, 219, 337, 689, 1155, 2007, 6853, 6749, 20127, 13199, 48433}},
+{7306, 17, 13561, {1, 1, 1, 13, 1, 61, 73, 213, 335, 539, 903, 2719, 775, 2775, 29109, 33367, 3281}},
+{7307, 17, 13567, {1, 3, 1, 5, 15, 31, 65, 231, 439, 623, 1871, 2299, 5365, 10333, 9147, 2781, 63813}},
+{7308, 17, 13582, {1, 1, 3, 1, 1, 25, 23, 229, 173, 279, 181, 1299, 2893, 15475, 12473, 46097, 123387}},
+{7309, 17, 13587, {1, 1, 7, 13, 7, 43, 17, 187, 467, 113, 1293, 2013, 6091, 14621, 22195, 24079, 45379}},
+{7310, 17, 13589, {1, 3, 1, 7, 1, 7, 119, 159, 377, 11, 705, 2853, 3767, 13739, 23375, 25563, 73987}},
+{7311, 17, 13593, {1, 1, 3, 15, 21, 13, 111, 119, 401, 1005, 777, 1699, 2431, 15139, 27887, 28415, 71519}},
+{7312, 17, 13596, {1, 1, 7, 9, 1, 49, 19, 171, 297, 77, 1343, 1249, 5769, 13889, 21401, 24915, 17641}},
+{7313, 17, 13615, {1, 1, 7, 11, 31, 45, 51, 231, 123, 817, 13, 791, 6235, 2787, 475, 1717, 5071}},
+{7314, 17, 13617, {1, 3, 3, 13, 5, 9, 21, 129, 253, 731, 785, 2275, 7343, 7841, 5477, 8973, 101033}},
+{7315, 17, 13623, {1, 1, 7, 13, 23, 1, 119, 221, 293, 709, 2031, 3019, 1529, 2007, 10823, 43193, 82661}},
+{7316, 17, 13641, {1, 3, 1, 11, 29, 29, 87, 79, 415, 679, 1899, 3453, 7355, 8627, 28225, 41857, 106645}},
+{7317, 17, 13647, {1, 1, 5, 15, 9, 13, 21, 241, 491, 927, 999, 2131, 3501, 11063, 28595, 54691, 21297}},
+{7318, 17, 13650, {1, 1, 1, 3, 5, 41, 85, 89, 483, 309, 791, 825, 3043, 2715, 16573, 6551, 77875}},
+{7319, 17, 13659, {1, 3, 1, 1, 25, 21, 107, 123, 79, 1019, 821, 1251, 4943, 1429, 17843, 37013, 53285}},
+{7320, 17, 13671, {1, 1, 5, 3, 7, 5, 35, 123, 445, 315, 627, 2543, 1261, 13737, 15991, 36591, 18309}},
+{7321, 17, 13677, {1, 3, 3, 5, 25, 43, 65, 249, 309, 1023, 737, 1933, 4735, 7725, 12063, 53023, 126677}},
+{7322, 17, 13678, {1, 3, 1, 9, 13, 37, 77, 61, 179, 275, 277, 1431, 2869, 14563, 665, 60553, 7661}},
+{7323, 17, 13680, {1, 3, 5, 3, 29, 1, 127, 73, 363, 311, 1591, 3863, 6481, 4725, 8287, 61311, 39011}},
+{7324, 17, 13685, {1, 3, 1, 7, 13, 23, 115, 215, 385, 563, 1033, 2343, 5023, 11013, 12131, 26997, 48645}},
+{7325, 17, 13689, {1, 1, 5, 13, 3, 59, 41, 155, 263, 507, 1175, 2967, 7929, 8237, 11841, 15365, 51881}},
+{7326, 17, 13701, {1, 1, 3, 11, 19, 35, 89, 115, 121, 315, 1697, 2121, 1867, 6865, 23639, 26525, 44687}},
+{7327, 17, 13706, {1, 3, 5, 15, 9, 5, 125, 183, 149, 447, 309, 1743, 6089, 369, 16153, 63799, 57657}},
+{7328, 17, 13720, {1, 1, 1, 7, 7, 39, 89, 139, 457, 741, 1613, 2883, 5057, 12495, 18669, 55469, 97941}},
+{7329, 17, 13729, {1, 1, 5, 7, 29, 39, 97, 9, 481, 667, 1353, 3387, 2813, 16205, 8353, 22121, 92965}},
+{7330, 17, 13735, {1, 3, 7, 9, 11, 55, 79, 159, 349, 717, 829, 3157, 1457, 6199, 5861, 2553, 20387}},
+{7331, 17, 13736, {1, 1, 1, 11, 3, 51, 113, 53, 287, 109, 1717, 2405, 7207, 4473, 11145, 2549, 591}},
+{7332, 17, 13756, {1, 1, 3, 13, 3, 61, 31, 141, 217, 487, 299, 2755, 3389, 10053, 1105, 21129, 74203}},
+{7333, 17, 13759, {1, 1, 1, 3, 11, 55, 7, 113, 413, 449, 787, 3279, 5123, 16025, 15005, 12175, 6795}},
+{7334, 17, 13761, {1, 3, 1, 1, 25, 23, 107, 191, 3, 3, 49, 1083, 3275, 10385, 7989, 53739, 25505}},
+{7335, 17, 13771, {1, 1, 5, 13, 7, 17, 59, 13, 471, 147, 1627, 2119, 3555, 15555, 10333, 49363, 80959}},
+{7336, 17, 13782, {1, 1, 1, 15, 23, 33, 61, 191, 207, 939, 45, 2781, 71, 9661, 28433, 13089, 76419}},
+{7337, 17, 13786, {1, 3, 3, 7, 29, 47, 111, 19, 315, 381, 851, 1303, 2627, 6255, 30369, 37723, 12949}},
+{7338, 17, 13798, {1, 1, 1, 13, 31, 43, 3, 193, 5, 99, 769, 2523, 1949, 129, 9693, 60535, 67059}},
+{7339, 17, 13810, {1, 1, 3, 15, 5, 33, 73, 149, 253, 985, 863, 1551, 4369, 5911, 8269, 35463, 117055}},
+{7340, 17, 13819, {1, 3, 1, 5, 27, 57, 3, 105, 253, 731, 119, 3287, 613, 4627, 22003, 56027, 123005}},
+{7341, 17, 13826, {1, 1, 3, 3, 27, 47, 67, 147, 495, 865, 1233, 3707, 2511, 2951, 7367, 15625, 86417}},
+{7342, 17, 13831, {1, 1, 7, 1, 7, 7, 13, 255, 457, 529, 953, 1481, 5565, 12495, 4723, 41615, 121829}},
+{7343, 17, 13837, {1, 3, 5, 11, 1, 51, 91, 153, 323, 609, 1353, 2995, 4035, 13835, 28619, 46217, 4967}},
+{7344, 17, 13846, {1, 1, 5, 7, 25, 59, 81, 101, 185, 709, 1249, 2285, 6579, 8655, 17563, 9707, 63845}},
+{7345, 17, 13856, {1, 3, 3, 9, 31, 25, 17, 19, 111, 627, 1187, 2621, 6529, 9457, 25027, 18069, 47559}},
+{7346, 17, 13862, {1, 3, 7, 15, 7, 15, 103, 201, 391, 1023, 817, 535, 2713, 1317, 13469, 56043, 70847}},
+{7347, 17, 13866, {1, 1, 3, 7, 17, 57, 35, 99, 439, 367, 27, 2695, 3519, 8337, 14047, 58489, 69}},
+{7348, 17, 13885, {1, 1, 1, 3, 17, 23, 71, 189, 57, 39, 715, 1779, 3081, 14657, 21895, 59203, 31005}},
+{7349, 17, 13891, {1, 1, 7, 13, 1, 47, 69, 159, 353, 517, 271, 973, 5077, 15707, 11095, 19671, 3389}},
+{7350, 17, 13893, {1, 1, 7, 13, 25, 55, 115, 21, 43, 939, 1697, 101, 4751, 1993, 2389, 28353, 45251}},
+{7351, 17, 13905, {1, 3, 1, 15, 11, 57, 17, 49, 121, 419, 909, 121, 5047, 4235, 13051, 21529, 42097}},
+{7352, 17, 13908, {1, 1, 1, 3, 19, 37, 31, 233, 251, 175, 929, 1527, 7527, 3605, 17075, 61053, 56235}},
+{7353, 17, 13912, {1, 1, 1, 3, 9, 5, 117, 131, 251, 475, 1695, 1381, 2445, 5921, 14921, 937, 80791}},
+{7354, 17, 13917, {1, 1, 3, 9, 11, 5, 31, 215, 37, 567, 1537, 2183, 3291, 1601, 14025, 48807, 7243}},
+{7355, 17, 13918, {1, 3, 1, 9, 7, 13, 81, 249, 321, 473, 1419, 3977, 7037, 14191, 10865, 56131, 43225}},
+{7356, 17, 13946, {1, 1, 1, 13, 15, 23, 31, 69, 449, 491, 1461, 729, 7955, 4003, 16817, 37273, 72025}},
+{7357, 17, 13948, {1, 1, 5, 13, 7, 41, 93, 169, 347, 1013, 301, 2813, 1455, 13187, 10769, 60807, 46333}},
+{7358, 17, 13964, {1, 1, 5, 3, 23, 15, 1, 161, 29, 35, 415, 235, 93, 14543, 29585, 29657, 36489}},
+{7359, 17, 13970, {1, 3, 1, 3, 31, 63, 39, 235, 153, 549, 43, 147, 2317, 3537, 25561, 58287, 58725}},
+{7360, 17, 13975, {1, 1, 3, 5, 5, 11, 59, 97, 349, 307, 501, 1701, 4243, 13717, 17419, 23387, 29533}},
+{7361, 17, 13979, {1, 3, 1, 7, 7, 19, 33, 243, 67, 353, 2023, 3111, 7173, 10979, 28117, 40175, 45337}},
+{7362, 17, 13997, {1, 1, 1, 5, 15, 59, 55, 135, 107, 543, 1743, 2695, 3293, 111, 32629, 8249, 52273}},
+{7363, 17, 14000, {1, 3, 5, 13, 15, 57, 39, 79, 5, 451, 571, 1445, 1393, 2125, 31713, 59655, 20897}},
+{7364, 17, 14006, {1, 1, 3, 11, 29, 61, 1, 37, 173, 513, 1779, 2649, 3289, 4679, 2039, 47587, 28973}},
+{7365, 17, 14020, {1, 1, 5, 5, 15, 19, 17, 143, 387, 359, 275, 625, 7383, 15537, 10311, 40005, 20729}},
+{7366, 17, 14023, {1, 1, 3, 9, 7, 23, 71, 179, 85, 447, 345, 3459, 2857, 8331, 5489, 62207, 64933}},
+{7367, 17, 14024, {1, 1, 1, 1, 11, 61, 47, 131, 213, 611, 701, 713, 1269, 9563, 25223, 50697, 88679}},
+{7368, 17, 14029, {1, 1, 5, 15, 21, 5, 77, 59, 455, 243, 459, 2809, 13, 9325, 32047, 3939, 48389}},
+{7369, 17, 14035, {1, 3, 7, 1, 21, 53, 111, 225, 407, 119, 713, 3635, 1539, 15321, 29827, 36069, 74483}},
+{7370, 17, 14044, {1, 1, 5, 13, 7, 45, 75, 43, 191, 715, 169, 759, 33, 11329, 1069, 36103, 28055}},
+{7371, 17, 14047, {1, 3, 7, 5, 7, 13, 7, 35, 27, 391, 517, 1439, 5699, 1067, 23857, 7293, 66167}},
+{7372, 17, 14058, {1, 1, 7, 11, 3, 31, 1, 83, 299, 345, 65, 669, 1529, 7569, 28959, 50561, 69493}},
+{7373, 17, 14066, {1, 3, 1, 5, 25, 25, 43, 149, 83, 225, 1589, 1691, 7777, 773, 10421, 49523, 23533}},
+{7374, 17, 14075, {1, 1, 5, 11, 25, 29, 81, 11, 497, 43, 951, 2551, 821, 13805, 12315, 61299, 81397}},
+{7375, 17, 14080, {1, 3, 1, 9, 29, 23, 109, 123, 235, 255, 1519, 3289, 7761, 14575, 11851, 1719, 51655}},
+{7376, 17, 14095, {1, 3, 5, 15, 21, 49, 13, 43, 87, 517, 687, 1457, 1501, 15959, 31907, 13771, 69379}},
+{7377, 17, 14100, {1, 1, 5, 3, 21, 11, 87, 9, 343, 317, 845, 1663, 7933, 14063, 24915, 31487, 17445}},
+{7378, 17, 14114, {1, 1, 3, 13, 21, 31, 87, 99, 185, 333, 993, 3899, 971, 2851, 23643, 195, 66957}},
+{7379, 17, 14116, {1, 1, 1, 15, 19, 47, 23, 1, 67, 57, 165, 3903, 421, 10561, 11621, 13815, 10349}},
+{7380, 17, 14123, {1, 3, 5, 11, 9, 19, 73, 17, 229, 913, 459, 3809, 2667, 9775, 3693, 52945, 90837}},
+{7381, 17, 14134, {1, 1, 5, 15, 3, 25, 109, 131, 507, 637, 1615, 859, 6785, 14891, 24801, 39095, 79557}},
+{7382, 17, 14143, {1, 1, 5, 7, 1, 51, 71, 251, 19, 799, 835, 1119, 2349, 15083, 16509, 55621, 123501}},
+{7383, 17, 14151, {1, 3, 5, 9, 13, 39, 127, 1, 233, 37, 735, 3307, 5163, 4529, 5961, 12893, 103641}},
+{7384, 17, 14160, {1, 1, 7, 5, 23, 15, 49, 123, 511, 201, 2025, 289, 3847, 15755, 24279, 52543, 42017}},
+{7385, 17, 14163, {1, 1, 5, 3, 9, 61, 19, 37, 3, 361, 1065, 2971, 2517, 1259, 27359, 3823, 60181}},
+{7386, 17, 14179, {1, 3, 1, 7, 15, 17, 57, 249, 57, 979, 147, 2407, 2579, 3159, 8467, 8433, 72873}},
+{7387, 17, 14181, {1, 1, 3, 1, 25, 7, 47, 117, 449, 321, 143, 3867, 165, 7961, 27597, 10033, 2437}},
+{7388, 17, 14193, {1, 3, 5, 13, 19, 49, 1, 83, 477, 549, 509, 2911, 1559, 14017, 10469, 62171, 82829}},
+{7389, 17, 14209, {1, 3, 3, 7, 27, 21, 15, 63, 31, 45, 1223, 3903, 5469, 11983, 29627, 27453, 32019}},
+{7390, 17, 14210, {1, 1, 7, 7, 9, 9, 7, 77, 349, 467, 61, 3465, 6921, 15761, 15179, 38649, 2469}},
+{7391, 17, 14224, {1, 3, 1, 13, 9, 59, 55, 67, 271, 617, 643, 4071, 7963, 8153, 5121, 43917, 26219}},
+{7392, 17, 14245, {1, 1, 3, 7, 29, 21, 63, 103, 327, 623, 931, 1511, 3125, 229, 28949, 61315, 72667}},
+{7393, 17, 14249, {1, 3, 7, 1, 19, 37, 49, 63, 403, 885, 161, 121, 1447, 9227, 15019, 50049, 26939}},
+{7394, 17, 14255, {1, 3, 3, 3, 23, 57, 95, 79, 485, 173, 93, 835, 7161, 11247, 3485, 5759, 36393}},
+{7395, 17, 14267, {1, 3, 7, 13, 23, 33, 5, 97, 235, 531, 313, 2925, 2223, 847, 18591, 15477, 3129}},
+{7396, 17, 14270, {1, 1, 3, 13, 25, 25, 101, 183, 477, 947, 1251, 2631, 7987, 13417, 23759, 55305, 123817}},
+{7397, 17, 14277, {1, 1, 5, 9, 27, 63, 49, 137, 179, 861, 33, 2375, 3827, 6485, 19689, 7867, 124429}},
+{7398, 17, 14305, {1, 3, 7, 3, 15, 43, 63, 103, 45, 947, 1837, 833, 7055, 7487, 19669, 12045, 78377}},
+{7399, 17, 14308, {1, 3, 5, 3, 29, 35, 57, 19, 471, 985, 1147, 741, 5403, 10057, 25375, 50889, 82719}},
+{7400, 17, 14312, {1, 3, 3, 1, 17, 19, 111, 13, 121, 821, 1831, 4043, 123, 9529, 1511, 10917, 105961}},
+{7401, 17, 14325, {1, 1, 3, 11, 1, 43, 23, 75, 345, 9, 1379, 2157, 5887, 1197, 14849, 17103, 91925}},
+{7402, 17, 14332, {1, 1, 3, 3, 19, 11, 1, 179, 343, 1023, 1801, 915, 255, 519, 5787, 32913, 43471}},
+{7403, 17, 14345, {1, 3, 5, 5, 3, 3, 3, 211, 461, 55, 851, 3165, 2903, 15077, 8537, 2037, 109057}},
+{7404, 17, 14354, {1, 1, 7, 15, 7, 7, 43, 249, 27, 511, 1369, 735, 6093, 12575, 26675, 21745, 117053}},
+{7405, 17, 14372, {1, 1, 5, 7, 21, 53, 45, 83, 415, 645, 325, 4027, 5181, 8485, 1917, 55623, 45203}},
+{7406, 17, 14387, {1, 1, 3, 15, 7, 1, 121, 221, 387, 403, 1877, 1671, 2113, 2379, 5667, 39867, 8079}},
+{7407, 17, 14390, {1, 1, 1, 7, 5, 29, 35, 77, 197, 661, 1859, 2539, 4045, 13497, 305, 44987, 31215}},
+{7408, 17, 14402, {1, 1, 5, 5, 13, 37, 13, 85, 287, 347, 579, 2283, 7911, 5463, 21141, 9035, 105067}},
+{7409, 17, 14408, {1, 1, 1, 9, 17, 17, 63, 97, 57, 629, 1917, 1133, 779, 12365, 17127, 52549, 18755}},
+{7410, 17, 14413, {1, 1, 7, 11, 7, 17, 65, 137, 485, 841, 653, 2921, 4935, 16273, 23333, 7399, 43129}},
+{7411, 17, 14431, {1, 3, 1, 11, 31, 55, 93, 225, 319, 35, 947, 1909, 7733, 8303, 20739, 55713, 6633}},
+{7412, 17, 14438, {1, 1, 1, 3, 11, 25, 1, 165, 305, 275, 607, 3845, 5203, 1989, 13803, 597, 39751}},
+{7413, 17, 14447, {1, 1, 5, 11, 31, 43, 83, 237, 453, 59, 457, 741, 411, 15895, 18891, 30133, 66767}},
+{7414, 17, 14455, {1, 3, 5, 11, 3, 23, 65, 81, 299, 527, 1057, 2731, 3839, 6023, 28887, 64929, 41405}},
+{7415, 17, 14461, {1, 3, 1, 1, 3, 5, 11, 169, 123, 957, 1495, 1717, 4079, 13239, 28339, 33677, 30591}},
+{7416, 17, 14466, {1, 1, 7, 15, 3, 1, 37, 245, 169, 273, 2039, 415, 6555, 13131, 11181, 62179, 36885}},
+{7417, 17, 14480, {1, 1, 3, 11, 1, 55, 19, 19, 425, 113, 1367, 2101, 5581, 985, 2475, 53983, 68999}},
+{7418, 17, 14490, {1, 1, 5, 9, 5, 33, 101, 193, 303, 579, 1265, 2791, 479, 12083, 17609, 31801, 113089}},
+{7419, 17, 14492, {1, 1, 3, 3, 17, 61, 59, 249, 81, 821, 1, 431, 5327, 8675, 23469, 15349, 67711}},
+{7420, 17, 14508, {1, 1, 7, 9, 31, 51, 89, 19, 469, 843, 561, 559, 4823, 7803, 31699, 44537, 56835}},
+{7421, 17, 14513, {1, 3, 7, 9, 11, 57, 27, 43, 469, 655, 433, 3081, 6719, 6651, 30823, 61503, 110711}},
+{7422, 17, 14516, {1, 3, 5, 11, 9, 53, 25, 147, 61, 533, 1369, 879, 7935, 13829, 26655, 17327, 52983}},
+{7423, 17, 14519, {1, 3, 7, 11, 15, 27, 97, 175, 435, 53, 75, 807, 549, 5277, 1831, 19421, 55669}},
+{7424, 17, 14525, {1, 1, 7, 15, 23, 5, 99, 133, 485, 587, 65, 2585, 7667, 2783, 19437, 52769, 1587}},
+{7425, 17, 14534, {1, 1, 7, 7, 13, 39, 111, 165, 489, 355, 1963, 333, 2993, 5233, 9173, 18951, 93737}},
+{7426, 17, 14537, {1, 1, 5, 7, 1, 29, 67, 135, 427, 91, 53, 3109, 3745, 9529, 17567, 42361, 84577}},
+{7427, 17, 14543, {1, 3, 5, 1, 31, 35, 59, 181, 87, 345, 1975, 781, 603, 16365, 19453, 9933, 112739}},
+{7428, 17, 14545, {1, 3, 3, 1, 31, 41, 127, 35, 263, 403, 1811, 383, 1523, 8477, 5973, 41569, 99309}},
+{7429, 17, 14552, {1, 3, 7, 7, 5, 25, 11, 201, 231, 679, 519, 2481, 7415, 12397, 21265, 49419, 13903}},
+{7430, 17, 14562, {1, 1, 7, 5, 1, 11, 63, 221, 327, 509, 419, 871, 7891, 11835, 11099, 10669, 43853}},
+{7431, 17, 14571, {1, 1, 5, 11, 19, 11, 37, 105, 265, 513, 1013, 707, 6083, 14571, 17573, 7645, 5363}},
+{7432, 17, 14574, {1, 1, 1, 13, 19, 19, 67, 93, 113, 509, 1013, 4037, 1939, 7015, 24487, 57183, 123463}},
+{7433, 17, 14582, {1, 1, 1, 1, 21, 17, 95, 25, 261, 1005, 685, 691, 4467, 14723, 24043, 32287, 19651}},
+{7434, 17, 14611, {1, 3, 1, 15, 15, 15, 57, 191, 27, 719, 229, 1977, 241, 9021, 21335, 30967, 81207}},
+{7435, 17, 14614, {1, 3, 1, 9, 23, 61, 103, 67, 361, 925, 811, 1007, 5707, 11479, 5907, 3897, 65141}},
+{7436, 17, 14620, {1, 3, 5, 9, 17, 61, 11, 15, 351, 715, 939, 2141, 4857, 8397, 9693, 26845, 120007}},
+{7437, 17, 14633, {1, 3, 1, 5, 19, 55, 99, 19, 291, 309, 287, 1969, 4341, 7579, 30909, 37277, 54927}},
+{7438, 17, 14641, {1, 3, 7, 3, 19, 29, 43, 163, 367, 753, 1733, 1463, 7927, 10671, 16817, 41229, 113887}},
+{7439, 17, 14648, {1, 3, 7, 1, 11, 51, 39, 207, 283, 73, 1423, 2473, 7593, 3581, 30179, 6369, 112217}},
+{7440, 17, 14671, {1, 1, 3, 15, 15, 25, 43, 5, 271, 611, 959, 537, 303, 3659, 18073, 8147, 81531}},
+{7441, 17, 14674, {1, 3, 7, 1, 27, 55, 77, 11, 367, 209, 1967, 3409, 935, 5309, 18857, 46225, 8367}},
+{7442, 17, 14689, {1, 1, 5, 11, 11, 63, 75, 73, 43, 869, 2021, 3285, 269, 9113, 32699, 2091, 17327}},
+{7443, 17, 14690, {1, 1, 5, 11, 9, 25, 31, 245, 109, 805, 1645, 3607, 817, 9571, 12767, 65441, 129977}},
+{7444, 17, 14692, {1, 3, 7, 5, 11, 61, 67, 223, 433, 387, 935, 1615, 7915, 6133, 24087, 55323, 100619}},
+{7445, 17, 14699, {1, 1, 1, 15, 25, 61, 7, 39, 311, 353, 183, 33, 2591, 4951, 31377, 9081, 9707}},
+{7446, 17, 14710, {1, 1, 3, 3, 1, 9, 65, 229, 185, 47, 1255, 1365, 2231, 6843, 26927, 27195, 60651}},
+{7447, 17, 14719, {1, 1, 7, 5, 7, 25, 91, 133, 159, 737, 1767, 3117, 7321, 6159, 3361, 27793, 33473}},
+{7448, 17, 14730, {1, 3, 7, 3, 11, 7, 5, 125, 369, 951, 1277, 65, 7703, 1817, 11773, 25657, 67045}},
+{7449, 17, 14732, {1, 1, 3, 9, 21, 27, 21, 41, 131, 605, 1, 119, 1553, 1361, 31973, 43135, 119321}},
+{7450, 17, 14743, {1, 3, 7, 1, 25, 63, 55, 173, 323, 403, 1401, 1367, 3455, 15335, 13045, 20759, 8309}},
+{7451, 17, 14744, {1, 1, 3, 5, 3, 61, 59, 7, 39, 439, 721, 2829, 3035, 2293, 32015, 28509, 104831}},
+{7452, 17, 14750, {1, 3, 5, 1, 29, 35, 71, 87, 351, 917, 1661, 547, 4501, 7107, 5493, 17833, 130729}},
+{7453, 17, 14759, {1, 1, 5, 5, 7, 5, 69, 57, 319, 595, 1749, 3789, 1437, 6327, 24089, 7387, 125109}},
+{7454, 17, 14763, {1, 3, 5, 9, 15, 53, 95, 59, 217, 37, 1561, 401, 5259, 4361, 1049, 3437, 30559}},
+{7455, 17, 14768, {1, 3, 7, 13, 15, 15, 107, 167, 475, 157, 1565, 2219, 1891, 1433, 11829, 43433, 48111}},
+{7456, 17, 14773, {1, 1, 1, 3, 11, 41, 25, 211, 243, 355, 1831, 2093, 2747, 2523, 9885, 9503, 120089}},
+{7457, 17, 14777, {1, 3, 7, 5, 11, 3, 1, 231, 243, 541, 341, 887, 3567, 14759, 26763, 35705, 29417}},
+{7458, 17, 14786, {1, 1, 7, 13, 17, 35, 117, 177, 81, 361, 1425, 2437, 6821, 1061, 15019, 19135, 106007}},
+{7459, 17, 14795, {1, 3, 3, 11, 19, 5, 39, 23, 367, 9, 879, 3583, 2527, 14375, 28359, 27393, 55041}},
+{7460, 17, 14800, {1, 1, 7, 11, 9, 41, 63, 125, 33, 337, 587, 3939, 2635, 4559, 1007, 38991, 35651}},
+{7461, 17, 14812, {1, 1, 3, 1, 19, 11, 83, 13, 227, 649, 415, 1661, 3285, 55, 3683, 22319, 2127}},
+{7462, 17, 14816, {1, 3, 7, 13, 19, 49, 113, 129, 83, 5, 19, 1095, 6561, 11049, 3805, 11355, 84265}},
+{7463, 17, 14836, {1, 3, 1, 9, 19, 41, 111, 193, 429, 319, 67, 1717, 1819, 12959, 31449, 21035, 113161}},
+{7464, 17, 14840, {1, 1, 5, 11, 19, 19, 115, 237, 145, 681, 1525, 2215, 7915, 15529, 7533, 45981, 85461}},
+{7465, 17, 14856, {1, 1, 1, 1, 25, 3, 73, 207, 15, 69, 43, 1643, 7707, 12505, 27101, 40735, 6091}},
+{7466, 17, 14859, {1, 1, 5, 11, 21, 61, 119, 7, 37, 147, 1379, 3165, 6555, 3867, 24027, 45161, 93015}},
+{7467, 17, 14870, {1, 1, 3, 9, 9, 25, 51, 125, 511, 209, 75, 2849, 2299, 2901, 25157, 13079, 67733}},
+{7468, 17, 14873, {1, 3, 7, 9, 31, 49, 99, 21, 89, 1, 1391, 1741, 2733, 7283, 12087, 9287, 39713}},
+{7469, 17, 14879, {1, 1, 5, 5, 1, 5, 89, 109, 499, 343, 431, 401, 2023, 5541, 16615, 40059, 119195}},
+{7470, 17, 14880, {1, 3, 5, 15, 27, 27, 9, 159, 395, 31, 865, 2793, 55, 10961, 23123, 63731, 54385}},
+{7471, 17, 14889, {1, 3, 7, 1, 11, 47, 123, 239, 399, 383, 1497, 4075, 4659, 2911, 2101, 8295, 115717}},
+{7472, 17, 14892, {1, 1, 3, 1, 11, 63, 125, 171, 65, 15, 349, 753, 2981, 6713, 6219, 14093, 78797}},
+{7473, 17, 14895, {1, 1, 1, 13, 9, 15, 1, 113, 221, 867, 1907, 103, 1411, 27, 22743, 377, 116907}},
+{7474, 17, 14900, {1, 3, 1, 5, 27, 5, 27, 245, 221, 575, 2009, 1561, 4263, 11843, 28331, 12865, 10483}},
+{7475, 17, 14903, {1, 3, 7, 9, 1, 51, 119, 241, 439, 913, 1191, 2343, 2055, 10247, 18283, 40175, 63321}},
+{7476, 17, 14910, {1, 1, 3, 15, 21, 59, 45, 151, 485, 293, 981, 3523, 7689, 2789, 5003, 62383, 126221}},
+{7477, 17, 14912, {1, 1, 1, 1, 13, 15, 39, 201, 405, 513, 1721, 2077, 5995, 2433, 20421, 12695, 20393}},
+{7478, 17, 14942, {1, 3, 5, 15, 11, 35, 113, 133, 187, 583, 577, 291, 7563, 12959, 9383, 44255, 81763}},
+{7479, 17, 14948, {1, 3, 7, 15, 9, 55, 57, 227, 189, 595, 1311, 1131, 1323, 11347, 12777, 50963, 13827}},
+{7480, 17, 14957, {1, 3, 5, 3, 11, 49, 77, 157, 107, 959, 761, 1457, 7121, 3027, 9269, 26291, 125261}},
+{7481, 17, 14963, {1, 1, 5, 9, 23, 53, 125, 211, 303, 433, 1103, 41, 2643, 5325, 11885, 23825, 80415}},
+{7482, 17, 14975, {1, 1, 7, 1, 29, 25, 51, 107, 209, 165, 707, 1855, 7429, 1583, 5941, 47509, 90105}},
+{7483, 17, 14985, {1, 1, 3, 3, 1, 15, 121, 165, 181, 259, 1949, 3049, 3545, 3093, 5967, 49207, 37129}},
+{7484, 17, 14993, {1, 1, 5, 13, 9, 59, 93, 87, 57, 343, 389, 1995, 4001, 11495, 12909, 13491, 61759}},
+{7485, 17, 15003, {1, 3, 1, 5, 11, 27, 27, 133, 459, 733, 1845, 1795, 4613, 3397, 12313, 52839, 129583}},
+{7486, 17, 15010, {1, 3, 5, 3, 19, 1, 7, 145, 255, 337, 1649, 1473, 4113, 4425, 12233, 55477, 69157}},
+{7487, 17, 15022, {1, 1, 3, 1, 25, 27, 93, 59, 415, 437, 25, 1565, 319, 8981, 2453, 53579, 45033}},
+{7488, 17, 15039, {1, 3, 7, 1, 27, 49, 47, 233, 341, 101, 2017, 2827, 8085, 237, 6363, 61139, 88903}},
+{7489, 17, 15041, {1, 1, 1, 5, 23, 47, 65, 251, 423, 957, 1751, 3541, 5405, 1335, 22703, 12587, 60201}},
+{7490, 17, 15047, {1, 1, 3, 3, 5, 51, 85, 195, 423, 519, 1797, 3821, 5915, 12257, 5377, 62733, 41197}},
+{7491, 17, 15048, {1, 3, 7, 15, 3, 47, 97, 1, 5, 175, 1449, 1609, 6873, 12017, 5579, 2665, 58389}},
+{7492, 17, 15056, {1, 3, 3, 15, 19, 37, 35, 29, 79, 767, 21, 1279, 1997, 11611, 14381, 35607, 127701}},
+{7493, 17, 15066, {1, 3, 7, 7, 7, 43, 47, 33, 69, 155, 703, 1373, 1589, 6997, 8627, 50647, 16989}},
+{7494, 17, 15068, {1, 3, 1, 5, 13, 33, 69, 133, 399, 361, 1633, 321, 2077, 8857, 13419, 23227, 40003}},
+{7495, 17, 15075, {1, 1, 1, 15, 15, 9, 45, 181, 427, 1005, 341, 1697, 6423, 5727, 7163, 10401, 38957}},
+{7496, 17, 15077, {1, 1, 7, 1, 17, 5, 17, 95, 279, 171, 825, 2459, 5243, 10683, 1849, 32809, 8995}},
+{7497, 17, 15082, {1, 3, 5, 15, 27, 47, 103, 69, 69, 255, 961, 2173, 5297, 5987, 5863, 14311, 117569}},
+{7498, 17, 15096, {1, 1, 1, 11, 21, 27, 61, 239, 183, 1013, 1955, 3171, 4183, 965, 14885, 49605, 87851}},
+{7499, 17, 15102, {1, 1, 7, 9, 9, 53, 99, 211, 267, 803, 1545, 4011, 7613, 13889, 28277, 6817, 26515}},
+{7500, 17, 15116, {1, 1, 3, 9, 1, 19, 33, 227, 461, 679, 499, 1069, 837, 12129, 20779, 12937, 104367}},
+{7501, 17, 15122, {1, 3, 3, 15, 7, 3, 29, 245, 179, 1015, 1651, 3753, 4185, 15357, 17379, 52835, 51953}},
+{7502, 17, 15127, {1, 3, 3, 3, 3, 25, 95, 239, 263, 427, 1749, 183, 5251, 361, 32549, 24331, 30789}},
+{7503, 17, 15133, {1, 1, 7, 1, 5, 3, 79, 9, 403, 195, 1433, 385, 8105, 7893, 16415, 23253, 127837}},
+{7504, 17, 15137, {1, 3, 7, 3, 23, 45, 115, 27, 473, 241, 361, 1787, 4247, 13451, 5627, 32923, 29375}},
+{7505, 17, 15138, {1, 3, 7, 1, 5, 55, 43, 37, 481, 899, 51, 2459, 5005, 12365, 19261, 32797, 45843}},
+{7506, 17, 15149, {1, 3, 7, 5, 9, 41, 83, 163, 241, 899, 567, 231, 4897, 15175, 10329, 6625, 95927}},
+{7507, 17, 15152, {1, 3, 1, 1, 7, 51, 61, 55, 253, 315, 1893, 2635, 4061, 257, 14147, 36639, 24893}},
+{7508, 17, 15155, {1, 1, 5, 1, 13, 63, 115, 119, 205, 309, 277, 2191, 341, 4715, 13111, 58043, 51241}},
+{7509, 17, 15158, {1, 3, 1, 15, 17, 23, 89, 121, 205, 15, 295, 667, 421, 14071, 27719, 1335, 9887}},
+{7510, 17, 15187, {1, 3, 5, 5, 17, 49, 5, 93, 251, 613, 1029, 945, 1547, 10479, 20183, 26787, 120441}},
+{7511, 17, 15189, {1, 3, 3, 15, 17, 11, 63, 97, 499, 313, 881, 2233, 4287, 5141, 13841, 40725, 49285}},
+{7512, 17, 15190, {1, 3, 3, 11, 19, 33, 105, 203, 325, 337, 353, 1923, 7157, 8623, 23881, 4513, 71495}},
+{7513, 17, 15196, {1, 1, 5, 1, 3, 15, 119, 43, 85, 869, 1597, 2433, 845, 5065, 12813, 64849, 58491}},
+{7514, 17, 15199, {1, 3, 7, 7, 25, 63, 119, 93, 303, 665, 571, 1795, 5853, 13527, 12715, 36483, 57723}},
+{7515, 17, 15205, {1, 3, 7, 13, 19, 43, 55, 85, 189, 627, 1457, 3185, 3491, 1913, 13399, 30681, 69015}},
+{7516, 17, 15212, {1, 3, 5, 9, 5, 41, 51, 65, 147, 425, 569, 1317, 1557, 7631, 17243, 37847, 51161}},
+{7517, 17, 15236, {1, 1, 3, 7, 29, 39, 61, 127, 489, 89, 749, 2073, 195, 14367, 13533, 27403, 16365}},
+{7518, 17, 15243, {1, 3, 7, 15, 13, 35, 45, 157, 373, 415, 725, 779, 3559, 7489, 11369, 36501, 60761}},
+{7519, 17, 15246, {1, 3, 1, 3, 13, 45, 25, 215, 385, 709, 499, 3861, 761, 15597, 3335, 37013, 13173}},
+{7520, 17, 15260, {1, 1, 7, 1, 13, 49, 89, 135, 175, 1015, 67, 957, 4893, 9843, 13027, 14709, 59721}},
+{7521, 17, 15267, {1, 3, 3, 11, 19, 37, 109, 143, 135, 535, 1543, 3991, 189, 6739, 28087, 18845, 41819}},
+{7522, 17, 15274, {1, 1, 7, 5, 1, 7, 11, 5, 211, 251, 1593, 2527, 3539, 10471, 25595, 60119, 89213}},
+{7523, 17, 15279, {1, 1, 5, 7, 13, 51, 121, 167, 299, 403, 977, 521, 279, 15521, 15901, 935, 14065}},
+{7524, 17, 15281, {1, 1, 7, 13, 7, 21, 27, 205, 377, 801, 1365, 1567, 6651, 139, 14229, 30827, 50429}},
+{7525, 17, 15282, {1, 1, 1, 1, 17, 11, 75, 87, 217, 413, 1923, 1765, 2037, 14061, 12433, 30671, 24883}},
+{7526, 17, 15284, {1, 1, 5, 13, 17, 51, 91, 241, 95, 505, 349, 2689, 1117, 4435, 1713, 44501, 125619}},
+{7527, 17, 15291, {1, 1, 3, 15, 11, 21, 25, 59, 511, 353, 799, 91, 4517, 16005, 17061, 21841, 46311}},
+{7528, 17, 15293, {1, 1, 1, 5, 19, 53, 109, 177, 213, 373, 761, 453, 5753, 69, 3503, 49411, 111105}},
+{7529, 17, 15302, {1, 3, 1, 5, 21, 27, 103, 167, 109, 55, 1849, 3999, 7801, 4185, 9789, 7515, 124983}},
+{7530, 17, 15319, {1, 3, 7, 7, 25, 9, 65, 127, 141, 169, 1079, 3377, 691, 5119, 6629, 3517, 28963}},
+{7531, 17, 15329, {1, 1, 3, 11, 15, 61, 127, 35, 87, 891, 1459, 483, 6763, 16173, 5633, 6939, 63411}},
+{7532, 17, 15336, {1, 3, 5, 3, 7, 63, 111, 85, 415, 273, 1705, 4045, 5551, 2377, 29025, 16831, 90203}},
+{7533, 17, 15347, {1, 3, 5, 13, 7, 23, 103, 227, 477, 985, 1059, 1489, 7233, 1917, 10409, 38759, 86761}},
+{7534, 17, 15353, {1, 3, 5, 7, 31, 33, 75, 41, 355, 577, 225, 5, 897, 15653, 27415, 83, 14911}},
+{7535, 17, 15361, {1, 3, 5, 5, 23, 13, 5, 43, 165, 53, 149, 2005, 4545, 477, 17885, 21343, 35751}},
+{7536, 17, 15371, {1, 3, 3, 3, 25, 51, 33, 203, 291, 835, 241, 3255, 3709, 3573, 9859, 33027, 122801}},
+{7537, 17, 15397, {1, 3, 5, 7, 13, 7, 3, 141, 455, 67, 2003, 3411, 4717, 157, 29491, 14429, 44849}},
+{7538, 17, 15404, {1, 1, 1, 11, 3, 33, 101, 93, 219, 371, 1191, 1521, 1663, 8485, 24815, 38283, 120867}},
+{7539, 17, 15407, {1, 1, 3, 9, 25, 61, 71, 173, 69, 181, 1525, 2129, 2979, 19, 13489, 627, 72619}},
+{7540, 17, 15421, {1, 3, 1, 7, 25, 33, 39, 247, 221, 7, 683, 1837, 8037, 9125, 4259, 63049, 63021}},
+{7541, 17, 15433, {1, 3, 3, 9, 17, 15, 9, 189, 357, 707, 521, 711, 8189, 12945, 29675, 11851, 126813}},
+{7542, 17, 15441, {1, 3, 1, 1, 23, 3, 57, 133, 245, 301, 957, 239, 3139, 7949, 27133, 18229, 93015}},
+{7543, 17, 15442, {1, 1, 3, 1, 29, 23, 35, 87, 231, 257, 1997, 271, 3019, 3409, 10613, 42245, 111309}},
+{7544, 17, 15463, {1, 1, 3, 3, 1, 21, 17, 37, 393, 943, 791, 3101, 6715, 11907, 25369, 9061, 75381}},
+{7545, 17, 15472, {1, 1, 7, 7, 17, 31, 25, 7, 183, 819, 1265, 3343, 6845, 2039, 3779, 41861, 38309}},
+{7546, 17, 15478, {1, 1, 1, 5, 17, 25, 1, 41, 173, 995, 863, 3515, 1779, 2159, 28223, 64661, 40697}},
+{7547, 17, 15488, {1, 1, 3, 15, 29, 49, 81, 241, 511, 817, 1301, 3593, 6759, 7483, 8859, 30339, 106137}},
+{7548, 17, 15493, {1, 3, 1, 11, 17, 61, 95, 231, 3, 693, 37, 1091, 3111, 11941, 17475, 8073, 62373}},
+{7549, 17, 15498, {1, 1, 1, 3, 7, 25, 93, 7, 291, 957, 859, 2519, 241, 10963, 10403, 933, 50599}},
+{7550, 17, 15511, {1, 1, 7, 1, 7, 33, 121, 91, 369, 333, 229, 4073, 6063, 6491, 31711, 65061, 107843}},
+{7551, 17, 15521, {1, 1, 5, 15, 17, 1, 117, 195, 445, 547, 867, 2893, 4835, 6513, 29091, 60367, 33409}},
+{7552, 17, 15534, {1, 3, 3, 7, 15, 5, 125, 131, 165, 127, 207, 853, 5927, 3605, 17083, 44481, 111333}},
+{7553, 17, 15539, {1, 1, 1, 9, 3, 43, 75, 191, 319, 889, 1513, 3301, 1535, 4693, 10367, 12491, 43175}},
+{7554, 17, 15541, {1, 3, 5, 5, 29, 19, 75, 221, 393, 977, 1373, 1571, 7377, 1763, 18073, 11381, 101241}},
+{7555, 17, 15560, {1, 3, 1, 15, 3, 15, 73, 91, 165, 213, 1077, 1267, 2411, 15807, 3979, 12731, 86597}},
+{7556, 17, 15563, {1, 1, 3, 7, 3, 21, 5, 135, 95, 337, 1853, 1675, 2449, 12535, 18505, 60127, 76949}},
+{7557, 17, 15574, {1, 1, 7, 3, 15, 11, 63, 127, 329, 169, 1569, 675, 4801, 5859, 3243, 25811, 77841}},
+{7558, 17, 15578, {1, 1, 1, 9, 19, 13, 73, 119, 105, 537, 951, 1033, 5303, 5775, 815, 19277, 57607}},
+{7559, 17, 15584, {1, 3, 5, 5, 23, 21, 91, 231, 117, 1007, 1603, 841, 2595, 11223, 17171, 25963, 17049}},
+{7560, 17, 15593, {1, 1, 5, 11, 15, 43, 7, 229, 55, 129, 599, 993, 563, 15677, 16703, 36253, 17847}},
+{7561, 17, 15604, {1, 3, 1, 9, 25, 3, 109, 21, 87, 721, 1927, 3219, 3395, 3267, 9117, 13591, 89267}},
+{7562, 17, 15614, {1, 1, 1, 15, 11, 17, 47, 49, 125, 925, 333, 945, 2411, 10907, 12021, 47857, 84303}},
+{7563, 17, 15619, {1, 1, 1, 1, 23, 11, 99, 215, 105, 417, 823, 1289, 421, 12285, 17711, 35389, 1935}},
+{7564, 17, 15622, {1, 1, 1, 15, 27, 7, 23, 141, 7, 929, 147, 681, 5473, 4173, 28645, 42053, 83573}},
+{7565, 17, 15633, {1, 1, 1, 11, 5, 61, 71, 65, 287, 697, 1183, 3257, 7251, 14011, 21349, 42445, 4701}},
+{7566, 17, 15639, {1, 3, 5, 9, 5, 23, 45, 217, 369, 189, 1495, 107, 425, 10467, 4909, 64293, 17885}},
+{7567, 17, 15646, {1, 1, 3, 11, 21, 45, 75, 65, 57, 893, 783, 3429, 409, 13617, 483, 62489, 2919}},
+{7568, 17, 15673, {1, 1, 7, 3, 5, 61, 51, 255, 501, 839, 367, 1165, 7055, 8139, 23891, 18807, 20739}},
+{7569, 17, 15674, {1, 1, 3, 7, 23, 15, 97, 139, 323, 463, 921, 1529, 6655, 8697, 23577, 56761, 62023}},
+{7570, 17, 15684, {1, 1, 5, 11, 13, 11, 57, 225, 277, 713, 1427, 95, 1135, 7721, 30731, 32625, 107891}},
+{7571, 17, 15691, {1, 1, 5, 7, 23, 35, 39, 91, 291, 609, 919, 3325, 6843, 7659, 5603, 37471, 41495}},
+{7572, 17, 15694, {1, 1, 1, 1, 25, 11, 117, 15, 389, 589, 1345, 423, 6531, 9903, 20243, 9523, 22991}},
+{7573, 17, 15696, {1, 3, 5, 15, 29, 7, 57, 113, 387, 883, 1141, 3295, 2973, 4129, 16973, 33429, 109997}},
+{7574, 17, 15701, {1, 3, 5, 3, 25, 1, 73, 207, 353, 203, 1479, 985, 6373, 3079, 28403, 63675, 21787}},
+{7575, 17, 15705, {1, 3, 1, 5, 31, 39, 107, 197, 359, 45, 203, 559, 4721, 6579, 11305, 12957, 10061}},
+{7576, 17, 15715, {1, 3, 7, 15, 9, 3, 55, 153, 373, 981, 575, 827, 4757, 15743, 14295, 43875, 17847}},
+{7577, 17, 15729, {1, 3, 5, 1, 17, 1, 93, 87, 207, 997, 1695, 3643, 6973, 9507, 29309, 58531, 6849}},
+{7578, 17, 15730, {1, 3, 1, 11, 3, 39, 17, 241, 83, 931, 39, 3839, 6437, 5159, 28869, 61859, 96873}},
+{7579, 17, 15741, {1, 1, 5, 13, 29, 43, 71, 159, 261, 563, 695, 1205, 2273, 8077, 12569, 17187, 54369}},
+{7580, 17, 15745, {1, 3, 7, 5, 11, 57, 17, 31, 311, 1001, 1419, 3899, 6679, 15531, 28877, 28221, 105413}},
+{7581, 17, 15748, {1, 3, 3, 13, 23, 29, 127, 19, 345, 1003, 1571, 2219, 3199, 9903, 18701, 31865, 108879}},
+{7582, 17, 15757, {1, 3, 7, 13, 23, 51, 95, 43, 35, 439, 25, 323, 2365, 12407, 27525, 57795, 74495}},
+{7583, 17, 15765, {1, 1, 1, 1, 17, 43, 57, 185, 439, 929, 69, 813, 6205, 3139, 3853, 56967, 19073}},
+{7584, 17, 15766, {1, 3, 7, 1, 27, 5, 43, 211, 395, 113, 1675, 1505, 6171, 5169, 9991, 21641, 27101}},
+{7585, 17, 15775, {1, 3, 3, 1, 17, 41, 59, 131, 131, 339, 955, 1145, 5301, 4585, 20441, 43227, 23123}},
+{7586, 17, 15776, {1, 1, 7, 9, 9, 55, 61, 31, 71, 229, 963, 3247, 4677, 9595, 21715, 36391, 86997}},
+{7587, 17, 15779, {1, 1, 7, 5, 9, 17, 55, 179, 27, 229, 79, 1335, 5887, 1003, 22085, 34377, 51367}},
+{7588, 17, 15786, {1, 1, 1, 5, 11, 45, 15, 219, 411, 27, 1003, 1553, 303, 13571, 13985, 6801, 52407}},
+{7589, 17, 15788, {1, 3, 3, 7, 7, 55, 111, 255, 453, 409, 1863, 1449, 4103, 8725, 26923, 5017, 43657}},
+{7590, 17, 15813, {1, 1, 1, 15, 23, 3, 95, 57, 29, 727, 1111, 3309, 1089, 471, 16099, 11517, 51563}},
+{7591, 17, 15814, {1, 3, 1, 15, 17, 57, 83, 163, 251, 987, 1159, 2079, 3463, 13109, 7443, 8665, 123397}},
+{7592, 17, 15842, {1, 1, 7, 1, 27, 13, 35, 209, 471, 843, 1029, 1383, 5413, 2085, 13431, 26557, 47033}},
+{7593, 17, 15851, {1, 3, 1, 1, 21, 21, 83, 135, 303, 27, 1407, 1751, 331, 9207, 31891, 59287, 120687}},
+{7594, 17, 15862, {1, 1, 1, 9, 11, 35, 103, 157, 1, 855, 175, 3203, 4381, 3113, 27589, 4567, 31897}},
+{7595, 17, 15875, {1, 1, 3, 5, 21, 5, 123, 161, 301, 101, 909, 947, 6893, 15459, 29139, 49377, 94901}},
+{7596, 17, 15878, {1, 3, 7, 7, 21, 27, 5, 69, 427, 409, 1389, 3737, 847, 2775, 603, 1001, 87651}},
+{7597, 17, 15889, {1, 1, 3, 5, 1, 57, 109, 89, 99, 593, 581, 3527, 1557, 4971, 27523, 26909, 35787}},
+{7598, 17, 15896, {1, 1, 7, 3, 31, 19, 83, 65, 239, 919, 15, 2289, 4117, 9127, 6033, 49667, 89343}},
+{7599, 17, 15901, {1, 3, 7, 7, 9, 31, 87, 117, 195, 681, 1711, 1753, 2221, 10053, 1985, 6273, 21801}},
+{7600, 17, 15908, {1, 3, 1, 7, 21, 61, 53, 231, 309, 115, 1729, 3883, 6085, 4825, 31455, 50097, 59779}},
+{7601, 17, 15911, {1, 1, 1, 9, 29, 25, 45, 91, 145, 927, 147, 371, 2603, 12537, 17267, 59895, 128009}},
+{7602, 17, 15915, {1, 1, 1, 1, 15, 41, 63, 43, 167, 215, 15, 3387, 1811, 12391, 25721, 6961, 13701}},
+{7603, 17, 15938, {1, 1, 7, 1, 27, 63, 25, 85, 337, 799, 87, 2237, 4085, 14529, 11493, 60149, 86399}},
+{7604, 17, 15944, {1, 3, 1, 11, 1, 41, 103, 145, 279, 805, 1201, 823, 5411, 4227, 25999, 14373, 36295}},
+{7605, 17, 15950, {1, 1, 7, 3, 27, 51, 83, 105, 155, 657, 1879, 3869, 2559, 2939, 19785, 47167, 34503}},
+{7606, 17, 15955, {1, 3, 1, 5, 3, 31, 47, 241, 257, 15, 983, 4095, 3745, 3901, 1639, 5421, 81585}},
+{7607, 17, 15974, {1, 3, 3, 5, 31, 13, 127, 125, 175, 577, 1103, 3573, 6229, 13969, 6267, 19067, 3933}},
+{7608, 17, 15978, {1, 1, 7, 1, 31, 17, 15, 15, 411, 553, 1929, 3731, 1955, 11749, 21991, 39189, 124427}},
+{7609, 17, 15980, {1, 3, 5, 5, 19, 63, 93, 201, 491, 599, 1093, 767, 3411, 13087, 23569, 42981, 35757}},
+{7610, 17, 15983, {1, 1, 1, 15, 27, 7, 51, 101, 429, 939, 111, 781, 2055, 14227, 17821, 42097, 32485}},
+{7611, 17, 15991, {1, 3, 7, 13, 11, 21, 3, 161, 353, 389, 285, 2633, 6245, 7089, 21907, 40765, 88869}},
+{7612, 17, 16004, {1, 1, 5, 9, 7, 27, 101, 203, 243, 897, 1375, 1619, 5275, 12935, 22103, 38005, 65603}},
+{7613, 17, 16011, {1, 1, 5, 9, 13, 25, 15, 21, 447, 7, 947, 1613, 5055, 129, 18057, 58551, 6603}},
+{7614, 17, 16016, {1, 3, 7, 15, 17, 41, 11, 55, 103, 339, 349, 1813, 7423, 11837, 20641, 51951, 61615}},
+{7615, 17, 16019, {1, 3, 3, 15, 21, 59, 113, 3, 123, 689, 465, 3039, 4109, 3241, 30317, 65053, 117845}},
+{7616, 17, 16025, {1, 3, 3, 1, 31, 33, 73, 155, 245, 401, 473, 51, 1387, 489, 10573, 55401, 106733}},
+{7617, 17, 16041, {1, 3, 3, 1, 31, 37, 15, 139, 127, 201, 229, 1753, 7287, 9045, 18321, 63485, 26399}},
+{7618, 17, 16064, {1, 3, 5, 5, 5, 23, 93, 3, 125, 715, 1827, 419, 1213, 9031, 25139, 20771, 41345}},
+{7619, 17, 16067, {1, 3, 5, 15, 23, 15, 13, 145, 105, 477, 1131, 2699, 1929, 10447, 9655, 26791, 80101}},
+{7620, 17, 16074, {1, 1, 1, 13, 1, 35, 75, 73, 269, 851, 737, 1909, 6805, 11359, 28991, 52435, 83767}},
+{7621, 17, 16082, {1, 1, 7, 5, 11, 31, 31, 91, 111, 161, 1865, 2545, 133, 12215, 8957, 20671, 92975}},
+{7622, 17, 16103, {1, 1, 7, 5, 25, 53, 55, 121, 53, 457, 831, 2493, 339, 10955, 30783, 9095, 97921}},
+{7623, 17, 16109, {1, 1, 5, 3, 25, 33, 81, 51, 211, 737, 1865, 4039, 6931, 8473, 22459, 24885, 96355}},
+{7624, 17, 16122, {1, 3, 7, 13, 23, 5, 101, 171, 65, 793, 443, 411, 7629, 14791, 28633, 9055, 123763}},
+{7625, 17, 16149, {1, 3, 3, 1, 11, 7, 99, 79, 461, 481, 1689, 3777, 2125, 4783, 13061, 19537, 68109}},
+{7626, 17, 16170, {1, 1, 3, 11, 31, 53, 109, 7, 49, 925, 1017, 2371, 1537, 13557, 75, 40677, 49181}},
+{7627, 17, 16175, {1, 3, 3, 3, 9, 1, 95, 113, 189, 389, 377, 393, 6523, 3183, 6461, 30201, 66549}},
+{7628, 17, 16178, {1, 1, 7, 15, 13, 19, 41, 171, 475, 157, 949, 3245, 5581, 2783, 25263, 53023, 11155}},
+{7629, 17, 16189, {1, 3, 5, 7, 29, 63, 61, 65, 315, 595, 905, 899, 5059, 4243, 27287, 14023, 64213}},
+{7630, 17, 16202, {1, 3, 1, 3, 15, 37, 109, 161, 9, 867, 1023, 2513, 4593, 7747, 1505, 4801, 127091}},
+{7631, 17, 16204, {1, 3, 1, 7, 11, 59, 75, 129, 469, 695, 63, 2757, 6357, 8675, 6193, 23439, 66445}},
+{7632, 17, 16222, {1, 1, 3, 13, 17, 9, 47, 91, 161, 265, 139, 129, 6707, 9659, 8917, 54757, 77835}},
+{7633, 17, 16231, {1, 1, 3, 13, 19, 37, 113, 255, 99, 913, 1445, 487, 337, 1001, 16395, 37141, 66595}},
+{7634, 17, 16238, {1, 1, 1, 15, 3, 63, 69, 43, 185, 293, 1137, 2061, 2377, 8741, 26817, 5833, 7807}},
+{7635, 17, 16262, {1, 1, 1, 5, 3, 29, 39, 33, 263, 355, 597, 539, 5055, 13075, 8977, 19829, 88171}},
+{7636, 17, 16265, {1, 3, 7, 9, 17, 49, 125, 101, 447, 597, 1337, 559, 2807, 7925, 12421, 17427, 34815}},
+{7637, 17, 16276, {1, 3, 1, 9, 11, 57, 31, 163, 503, 925, 911, 3721, 2515, 8429, 25749, 55209, 90105}},
+{7638, 17, 16285, {1, 3, 5, 3, 21, 57, 119, 233, 319, 745, 563, 3057, 2683, 7063, 11513, 49157, 64561}},
+{7639, 17, 16313, {1, 1, 3, 9, 15, 21, 93, 99, 227, 479, 965, 51, 6941, 9887, 32409, 23171, 98387}},
+{7640, 17, 16314, {1, 3, 5, 5, 19, 1, 47, 49, 233, 931, 971, 2369, 2827, 1291, 18653, 725, 19791}},
+{7641, 17, 16321, {1, 1, 5, 15, 3, 7, 71, 251, 341, 861, 1203, 793, 7627, 10929, 10717, 10677, 49743}},
+{7642, 17, 16327, {1, 3, 1, 7, 3, 43, 9, 187, 247, 621, 1069, 2875, 1525, 4221, 18813, 35807, 117609}},
+{7643, 17, 16333, {1, 3, 3, 3, 29, 39, 83, 201, 205, 337, 231, 547, 2893, 2483, 6197, 26869, 18921}},
+{7644, 17, 16334, {1, 1, 7, 3, 23, 29, 33, 137, 491, 691, 979, 65, 5711, 11685, 5137, 37993, 37075}},
+{7645, 17, 16364, {1, 3, 3, 1, 11, 3, 99, 119, 203, 901, 1887, 879, 7547, 4613, 31233, 13279, 105089}},
+{7646, 17, 16369, {1, 1, 1, 13, 25, 23, 111, 167, 313, 141, 127, 1223, 5711, 4101, 10977, 34695, 128303}},
+{7647, 17, 16370, {1, 1, 7, 15, 5, 3, 89, 151, 289, 769, 539, 2883, 8121, 15403, 22345, 63765, 117015}},
+{7648, 17, 16375, {1, 1, 1, 13, 15, 9, 71, 95, 37, 705, 1575, 3735, 7445, 2027, 27523, 53321, 106085}},
+{7649, 17, 16376, {1, 3, 5, 7, 5, 29, 7, 25, 181, 491, 1173, 1947, 3321, 9233, 17265, 26999, 97783}},
+{7650, 17, 16379, {1, 1, 3, 15, 1, 63, 111, 113, 279, 123, 345, 1529, 2725, 8643, 8551, 30073, 26689}},
+{7651, 17, 16393, {1, 3, 7, 7, 5, 55, 117, 211, 293, 851, 1491, 3265, 4009, 14949, 10297, 16219, 69983}},
+{7652, 17, 16402, {1, 1, 3, 11, 23, 45, 35, 91, 97, 191, 417, 3545, 1733, 3955, 10763, 10229, 75027}},
+{7653, 17, 16408, {1, 1, 3, 13, 3, 61, 69, 205, 379, 627, 295, 3979, 85, 11305, 2493, 35583, 3133}},
+{7654, 17, 16418, {1, 3, 5, 9, 5, 63, 67, 201, 351, 367, 1009, 739, 5409, 8715, 28939, 31511, 34599}},
+{7655, 17, 16438, {1, 1, 1, 5, 3, 25, 21, 25, 477, 301, 623, 157, 563, 9457, 24515, 30135, 107165}},
+{7656, 17, 16441, {1, 1, 3, 15, 5, 41, 49, 171, 469, 427, 857, 2165, 1437, 2151, 24061, 63243, 105331}},
+{7657, 17, 16447, {1, 3, 5, 11, 21, 25, 59, 167, 29, 653, 1503, 2223, 3889, 4605, 28381, 36075, 74907}},
+{7658, 17, 16450, {1, 3, 7, 7, 17, 55, 73, 127, 33, 319, 1565, 2761, 6473, 2187, 19939, 56687, 112137}},
+{7659, 17, 16455, {1, 1, 1, 9, 7, 53, 105, 3, 299, 15, 1009, 607, 6885, 12875, 20719, 16841, 70471}},
+{7660, 17, 16459, {1, 3, 5, 9, 7, 33, 23, 163, 279, 739, 1541, 3017, 2309, 11827, 3875, 44337, 82063}},
+{7661, 17, 16483, {1, 1, 1, 5, 19, 53, 109, 193, 331, 339, 477, 4093, 5177, 13527, 25731, 64137, 81411}},
+{7662, 17, 16490, {1, 3, 7, 13, 15, 63, 101, 145, 127, 13, 1431, 3581, 4993, 14287, 12125, 60217, 102563}},
+{7663, 17, 16492, {1, 3, 1, 7, 17, 27, 127, 81, 223, 763, 761, 2061, 1031, 12251, 14141, 23587, 124813}},
+{7664, 17, 16495, {1, 3, 5, 13, 27, 21, 9, 249, 285, 875, 65, 4075, 6749, 13417, 3079, 29343, 87075}},
+{7665, 17, 16523, {1, 3, 5, 13, 1, 31, 61, 21, 169, 145, 1681, 1229, 5059, 13555, 21373, 35597, 70669}},
+{7666, 17, 16528, {1, 3, 7, 15, 23, 31, 43, 237, 139, 9, 1905, 3197, 801, 14205, 13323, 18717, 88523}},
+{7667, 17, 16543, {1, 1, 1, 11, 1, 7, 21, 83, 15, 459, 537, 4029, 6973, 4019, 1, 35147, 16329}},
+{7668, 17, 16553, {1, 3, 7, 15, 23, 11, 17, 101, 235, 683, 913, 3529, 4363, 13899, 3603, 27741, 74143}},
+{7669, 17, 16562, {1, 1, 7, 7, 3, 3, 91, 107, 499, 723, 315, 2805, 5909, 11041, 18281, 54981, 76041}},
+{7670, 17, 16564, {1, 3, 7, 9, 15, 7, 93, 171, 275, 647, 655, 3565, 2199, 14795, 21945, 9373, 122299}},
+{7671, 17, 16576, {1, 1, 1, 5, 27, 53, 73, 27, 431, 707, 53, 1281, 49, 13199, 1973, 18935, 114821}},
+{7672, 17, 16588, {1, 1, 3, 3, 25, 1, 17, 159, 217, 413, 1393, 2119, 5611, 7659, 6003, 19927, 22287}},
+{7673, 17, 16612, {1, 1, 7, 15, 29, 59, 77, 9, 205, 795, 627, 2167, 2477, 6841, 17663, 34871, 79823}},
+{7674, 17, 16630, {1, 3, 5, 9, 13, 35, 79, 237, 11, 335, 789, 2291, 13, 853, 20373, 39049, 407}},
+{7675, 17, 16654, {1, 1, 5, 7, 13, 27, 21, 173, 137, 659, 123, 2677, 2153, 14879, 26737, 56291, 47613}},
+{7676, 17, 16656, {1, 3, 5, 15, 23, 47, 15, 109, 311, 597, 261, 2407, 8139, 3215, 28169, 60731, 79937}},
+{7677, 17, 16668, {1, 3, 3, 5, 11, 61, 71, 29, 189, 741, 1171, 397, 2669, 10627, 20037, 51703, 6697}},
+{7678, 17, 16672, {1, 3, 3, 3, 9, 41, 125, 1, 381, 399, 349, 3265, 6337, 8113, 14869, 5305, 83409}},
+{7679, 17, 16675, {1, 1, 3, 13, 5, 19, 33, 225, 45, 55, 1809, 1037, 5443, 15719, 9963, 363, 15145}},
+{7680, 17, 16678, {1, 3, 7, 1, 31, 25, 103, 29, 207, 169, 305, 913, 7501, 15323, 10575, 13477, 65245}},
+{7681, 17, 16681, {1, 3, 3, 15, 13, 23, 69, 255, 333, 157, 279, 1989, 3439, 12955, 13649, 52431, 90009}},
+{7682, 17, 16689, {1, 3, 7, 5, 23, 61, 111, 121, 79, 469, 89, 1545, 3405, 12393, 2035, 15989, 84855}},
+{7683, 17, 16699, {1, 1, 7, 5, 17, 21, 127, 151, 283, 521, 5, 3023, 5365, 11633, 21177, 42207, 48925}},
+{7684, 17, 16719, {1, 3, 7, 5, 21, 21, 61, 17, 415, 879, 1485, 3727, 935, 9899, 23241, 651, 103701}},
+{7685, 17, 16734, {1, 3, 5, 15, 31, 47, 19, 245, 249, 467, 253, 1575, 337, 863, 19353, 13153, 125453}},
+{7686, 17, 16737, {1, 1, 7, 15, 9, 41, 39, 63, 139, 875, 1011, 1961, 1627, 7461, 28961, 47195, 16239}},
+{7687, 17, 16750, {1, 3, 3, 7, 27, 55, 51, 245, 231, 619, 43, 91, 2125, 2685, 23661, 10189, 43085}},
+{7688, 17, 16752, {1, 1, 7, 9, 27, 55, 35, 139, 187, 143, 1545, 2685, 3173, 12065, 21607, 42619, 105279}},
+{7689, 17, 16757, {1, 1, 5, 3, 29, 63, 15, 197, 49, 995, 389, 1959, 2441, 11509, 31753, 40539, 26989}},
+{7690, 17, 16761, {1, 3, 7, 15, 19, 37, 17, 37, 305, 469, 945, 2335, 1493, 13843, 19905, 49031, 107893}},
+{7691, 17, 16773, {1, 3, 1, 11, 3, 35, 113, 181, 223, 27, 485, 2435, 3423, 11321, 1687, 45755, 18017}},
+{7692, 17, 16774, {1, 3, 3, 13, 17, 47, 109, 145, 287, 769, 1373, 3423, 1251, 14357, 3209, 28363, 97987}},
+{7693, 17, 16801, {1, 1, 3, 13, 7, 25, 93, 11, 23, 331, 517, 1705, 1957, 291, 763, 10411, 120367}},
+{7694, 17, 16802, {1, 3, 7, 15, 25, 9, 1, 33, 83, 61, 97, 509, 5387, 8701, 14243, 31883, 7375}},
+{7695, 17, 16822, {1, 3, 1, 5, 19, 11, 59, 95, 265, 205, 533, 1857, 693, 12469, 24445, 19449, 130623}},
+{7696, 17, 16831, {1, 1, 7, 7, 1, 5, 15, 159, 333, 361, 391, 1889, 2645, 15115, 30709, 60515, 13315}},
+{7697, 17, 16840, {1, 3, 5, 15, 25, 61, 69, 213, 183, 575, 1573, 3147, 1753, 2387, 23063, 12853, 108507}},
+{7698, 17, 16854, {1, 1, 1, 15, 17, 31, 11, 177, 411, 23, 469, 3985, 2159, 2273, 14175, 20425, 107741}},
+{7699, 17, 16858, {1, 1, 3, 9, 5, 35, 55, 225, 263, 641, 1393, 1277, 595, 2671, 7039, 64999, 114387}},
+{7700, 17, 16863, {1, 1, 3, 3, 11, 23, 1, 161, 77, 755, 1325, 1773, 4291, 13119, 29677, 27295, 81713}},
+{7701, 17, 16867, {1, 1, 5, 13, 31, 45, 115, 141, 449, 171, 1413, 2411, 7937, 10859, 19453, 64403, 45169}},
+{7702, 17, 16876, {1, 3, 5, 7, 1, 27, 117, 157, 99, 119, 1281, 2633, 5117, 16009, 19545, 7421, 30807}},
+{7703, 17, 16891, {1, 1, 3, 13, 19, 11, 61, 239, 331, 731, 1723, 1773, 2623, 15255, 17197, 63793, 100433}},
+{7704, 17, 16894, {1, 3, 7, 11, 11, 7, 119, 33, 195, 521, 811, 2599, 3113, 5497, 16751, 2541, 21813}},
+{7705, 17, 16898, {1, 1, 1, 15, 23, 47, 25, 73, 429, 213, 557, 1613, 7055, 7211, 2225, 1345, 58033}},
+{7706, 17, 16907, {1, 1, 1, 13, 15, 39, 69, 71, 11, 543, 267, 2803, 4853, 9819, 603, 4629, 78343}},
+{7707, 17, 16915, {1, 1, 7, 1, 15, 55, 47, 223, 63, 679, 1135, 3225, 3845, 12031, 6761, 20337, 29021}},
+{7708, 17, 16917, {1, 1, 3, 3, 3, 51, 127, 103, 43, 379, 169, 2549, 7775, 2553, 27415, 30671, 34043}},
+{7709, 17, 16922, {1, 1, 3, 11, 1, 31, 89, 113, 475, 857, 499, 3901, 5343, 8819, 4503, 58757, 60513}},
+{7710, 17, 16924, {1, 3, 5, 11, 27, 49, 97, 217, 91, 971, 1835, 3447, 2021, 3747, 20533, 13659, 84007}},
+{7711, 17, 16933, {1, 1, 5, 1, 31, 39, 49, 21, 135, 983, 579, 3509, 3611, 15101, 29781, 49941, 14353}},
+{7712, 17, 16938, {1, 1, 1, 9, 7, 17, 55, 233, 295, 161, 823, 3823, 4771, 13531, 24197, 42629, 60269}},
+{7713, 17, 16952, {1, 1, 3, 15, 23, 5, 101, 167, 55, 297, 1733, 3819, 7041, 9915, 27803, 60359, 10249}},
+{7714, 17, 16960, {1, 1, 7, 9, 25, 47, 67, 253, 303, 313, 1389, 3785, 2729, 11471, 27267, 42783, 111595}},
+{7715, 17, 16963, {1, 1, 5, 13, 25, 63, 17, 195, 457, 793, 1553, 1673, 6799, 12171, 9003, 22195, 90229}},
+{7716, 17, 16969, {1, 1, 3, 15, 11, 43, 43, 221, 423, 985, 873, 599, 1753, 4875, 7149, 34625, 8941}},
+{7717, 17, 16978, {1, 3, 5, 11, 1, 7, 109, 163, 309, 477, 1291, 3019, 1933, 14055, 15005, 1141, 66867}},
+{7718, 17, 17014, {1, 3, 3, 15, 21, 35, 95, 131, 413, 1009, 147, 2165, 6333, 8313, 20873, 18377, 23579}},
+{7719, 17, 17020, {1, 3, 1, 5, 21, 49, 29, 187, 67, 419, 253, 2345, 3179, 12331, 23127, 8799, 102493}},
+{7720, 17, 17034, {1, 1, 7, 5, 29, 59, 13, 189, 377, 595, 1893, 527, 7993, 14867, 24671, 14585, 38645}},
+{7721, 17, 17036, {1, 3, 5, 13, 3, 11, 99, 69, 253, 833, 1961, 2719, 3953, 8143, 21277, 16257, 26929}},
+{7722, 17, 17042, {1, 3, 7, 3, 3, 19, 19, 57, 393, 187, 945, 2107, 669, 14785, 13895, 26907, 92439}},
+{7723, 17, 17047, {1, 3, 5, 15, 11, 5, 73, 167, 99, 887, 1213, 2019, 3781, 14345, 30249, 16215, 1893}},
+{7724, 17, 17051, {1, 1, 5, 1, 17, 11, 69, 145, 97, 393, 1587, 2513, 1011, 6933, 7945, 41387, 34361}},
+{7725, 17, 17054, {1, 1, 5, 1, 5, 59, 57, 1, 501, 855, 1485, 977, 4981, 7631, 31853, 30737, 103023}},
+{7726, 17, 17063, {1, 3, 1, 5, 3, 27, 55, 171, 317, 641, 1875, 2523, 1631, 4971, 18743, 25119, 118913}},
+{7727, 17, 17069, {1, 1, 3, 15, 7, 39, 73, 209, 125, 29, 1031, 1569, 1793, 5461, 985, 59441, 92997}},
+{7728, 17, 17075, {1, 3, 5, 11, 27, 23, 57, 13, 65, 555, 1309, 1149, 5125, 11573, 3835, 57913, 78699}},
+{7729, 17, 17077, {1, 3, 7, 5, 29, 7, 51, 131, 443, 623, 1491, 1067, 6647, 6277, 25799, 54843, 90869}},
+{7730, 17, 17089, {1, 1, 1, 11, 7, 33, 67, 113, 319, 665, 11, 1225, 3137, 16269, 20101, 40263, 31091}},
+{7731, 17, 17090, {1, 3, 5, 15, 7, 5, 101, 153, 165, 173, 97, 1651, 6633, 6071, 29079, 35641, 77305}},
+{7732, 17, 17107, {1, 3, 7, 13, 9, 45, 103, 55, 121, 1021, 1841, 315, 8127, 6547, 1093, 7181, 39575}},
+{7733, 17, 17126, {1, 3, 3, 11, 15, 17, 27, 55, 341, 443, 377, 681, 3635, 1091, 16719, 49403, 85507}},
+{7734, 17, 17135, {1, 3, 5, 5, 29, 53, 51, 213, 273, 475, 981, 549, 539, 14989, 4037, 23911, 45997}},
+{7735, 17, 17150, {1, 3, 5, 3, 27, 37, 73, 115, 331, 911, 991, 4049, 6299, 3919, 10231, 31507, 98651}},
+{7736, 17, 17162, {1, 1, 5, 13, 21, 13, 1, 175, 137, 837, 1067, 2845, 307, 4399, 15671, 1309, 107409}},
+{7737, 17, 17169, {1, 1, 3, 1, 5, 47, 111, 75, 193, 389, 157, 3731, 6237, 5053, 9933, 28413, 32939}},
+{7738, 17, 17172, {1, 1, 7, 5, 29, 1, 51, 85, 267, 935, 1021, 3135, 3135, 9263, 32597, 6779, 71473}},
+{7739, 17, 17175, {1, 3, 5, 9, 21, 59, 27, 99, 155, 507, 1911, 3501, 4307, 6755, 17127, 29815, 1577}},
+{7740, 17, 17176, {1, 1, 5, 1, 15, 63, 45, 105, 125, 299, 689, 3935, 7229, 5007, 25003, 30453, 27819}},
+{7741, 17, 17191, {1, 1, 7, 15, 19, 9, 67, 151, 45, 985, 2015, 833, 5435, 15383, 25881, 46735, 56717}},
+{7742, 17, 17209, {1, 1, 5, 15, 27, 59, 119, 163, 293, 63, 1251, 1309, 485, 4937, 27207, 47481, 114357}},
+{7743, 17, 17218, {1, 3, 5, 13, 23, 11, 111, 87, 329, 467, 1657, 3309, 3421, 12013, 23163, 14105, 88761}},
+{7744, 17, 17220, {1, 1, 5, 11, 17, 63, 9, 61, 299, 585, 341, 3375, 3213, 15953, 11455, 5333, 66889}},
+{7745, 17, 17227, {1, 3, 5, 5, 5, 35, 57, 235, 137, 543, 77, 2811, 857, 12793, 10791, 55711, 93353}},
+{7746, 17, 17229, {1, 3, 7, 3, 23, 37, 19, 81, 321, 23, 1625, 2359, 3569, 4685, 7385, 32677, 18073}},
+{7747, 17, 17238, {1, 3, 3, 7, 21, 35, 81, 229, 207, 547, 1397, 2709, 7159, 1265, 16823, 9921, 29159}},
+{7748, 17, 17251, {1, 3, 7, 13, 27, 13, 107, 241, 395, 317, 307, 3927, 1153, 15915, 25179, 25173, 21503}},
+{7749, 17, 17257, {1, 3, 1, 5, 1, 51, 25, 135, 381, 229, 1491, 2009, 3331, 16165, 8169, 65161, 9335}},
+{7750, 17, 17258, {1, 1, 5, 5, 17, 15, 57, 221, 183, 225, 1649, 3701, 299, 12349, 4691, 64479, 82237}},
+{7751, 17, 17272, {1, 3, 7, 7, 31, 39, 65, 183, 149, 67, 1697, 3933, 3709, 15501, 12583, 60117, 88691}},
+{7752, 17, 17277, {1, 1, 5, 15, 17, 49, 117, 233, 161, 891, 789, 1347, 4887, 10713, 10613, 4389, 42619}},
+{7753, 17, 17308, {1, 3, 5, 9, 13, 3, 83, 69, 381, 777, 743, 2843, 7233, 3285, 8931, 48667, 120777}},
+{7754, 17, 17311, {1, 3, 1, 3, 11, 7, 55, 107, 165, 533, 1897, 3385, 1069, 12805, 30125, 42729, 123977}},
+{7755, 17, 17321, {1, 1, 1, 5, 13, 17, 103, 237, 77, 537, 1843, 2817, 7467, 13647, 15259, 3525, 18313}},
+{7756, 17, 17329, {1, 1, 7, 7, 13, 59, 29, 197, 309, 917, 1173, 2605, 4313, 12007, 25611, 60409, 104931}},
+{7757, 17, 17342, {1, 3, 3, 3, 27, 57, 7, 207, 491, 467, 1973, 3075, 8043, 3977, 14517, 13179, 47111}},
+{7758, 17, 17344, {1, 1, 7, 5, 31, 33, 125, 235, 79, 847, 1893, 3875, 7513, 1435, 24959, 46813, 82053}},
+{7759, 17, 17350, {1, 3, 7, 5, 3, 53, 103, 1, 215, 71, 787, 223, 1399, 6793, 11281, 39201, 122119}},
+{7760, 17, 17356, {1, 3, 3, 3, 3, 57, 7, 151, 319, 463, 685, 2917, 4037, 14929, 11971, 41827, 57449}},
+{7761, 17, 17371, {1, 1, 7, 3, 5, 11, 15, 139, 379, 563, 135, 65, 5633, 7535, 1451, 18289, 62457}},
+{7762, 17, 17374, {1, 1, 1, 15, 11, 23, 37, 57, 205, 107, 995, 151, 3279, 2015, 28927, 40731, 95551}},
+{7763, 17, 17392, {1, 3, 5, 9, 15, 43, 95, 217, 203, 215, 203, 2207, 8189, 465, 2175, 29285, 25375}},
+{7764, 17, 17402, {1, 3, 3, 5, 19, 59, 51, 123, 285, 721, 1335, 1777, 1645, 15811, 16539, 14637, 123323}},
+{7765, 17, 17410, {1, 3, 5, 5, 11, 35, 23, 23, 259, 789, 567, 1921, 4743, 6635, 6965, 43025, 43175}},
+{7766, 17, 17421, {1, 3, 7, 3, 7, 27, 77, 121, 285, 65, 647, 591, 2553, 7163, 12057, 43675, 24227}},
+{7767, 17, 17424, {1, 1, 5, 9, 3, 25, 17, 85, 235, 715, 1913, 2391, 3719, 11029, 18359, 6323, 4703}},
+{7768, 17, 17427, {1, 1, 1, 3, 25, 31, 37, 31, 89, 311, 1797, 3409, 6785, 9627, 29721, 58591, 111429}},
+{7769, 17, 17434, {1, 3, 1, 5, 9, 37, 47, 45, 419, 115, 1009, 1359, 65, 1161, 15673, 16075, 63895}},
+{7770, 17, 17449, {1, 1, 3, 5, 25, 47, 27, 87, 441, 547, 1801, 3589, 3773, 12215, 14509, 12669, 99983}},
+{7771, 17, 17452, {1, 1, 1, 3, 19, 33, 51, 91, 447, 577, 491, 539, 3177, 7033, 21633, 51737, 47089}},
+{7772, 17, 17463, {1, 1, 3, 15, 23, 53, 93, 113, 143, 973, 999, 2355, 1489, 3451, 29821, 23769, 74633}},
+{7773, 17, 17470, {1, 3, 7, 11, 27, 1, 35, 109, 111, 51, 425, 3203, 2585, 11255, 20939, 281, 92133}},
+{7774, 17, 17477, {1, 1, 1, 11, 13, 37, 13, 149, 421, 655, 79, 3093, 6429, 1145, 27663, 52861, 81431}},
+{7775, 17, 17482, {1, 1, 5, 13, 19, 23, 105, 39, 97, 239, 469, 1047, 4727, 12009, 8055, 45557, 124219}},
+{7776, 17, 17490, {1, 1, 1, 7, 7, 7, 5, 53, 269, 391, 1893, 2263, 2109, 11531, 12109, 31437, 20445}},
+{7777, 17, 17496, {1, 1, 3, 11, 9, 35, 69, 209, 93, 455, 1117, 3297, 2597, 15035, 17943, 19955, 829}},
+{7778, 17, 17508, {1, 1, 5, 7, 23, 23, 101, 71, 339, 553, 1653, 2997, 1191, 3121, 4575, 49979, 17353}},
+{7779, 17, 17511, {1, 3, 3, 13, 13, 9, 51, 181, 33, 185, 111, 589, 3117, 10105, 28811, 31529, 79657}},
+{7780, 17, 17536, {1, 1, 5, 3, 9, 57, 103, 65, 211, 473, 519, 3815, 4087, 2767, 10213, 37829, 9523}},
+{7781, 17, 17563, {1, 1, 5, 7, 7, 31, 81, 161, 311, 617, 1689, 3133, 57, 14595, 22783, 18475, 85811}},
+{7782, 17, 17570, {1, 3, 5, 5, 21, 51, 99, 249, 7, 525, 885, 3981, 2851, 529, 947, 29885, 122901}},
+{7783, 17, 17581, {1, 3, 1, 5, 1, 23, 85, 91, 309, 747, 183, 1347, 2399, 15777, 16205, 15687, 117333}},
+{7784, 17, 17590, {1, 3, 7, 3, 29, 21, 99, 137, 297, 229, 1063, 2747, 6415, 7791, 4775, 62863, 50849}},
+{7785, 17, 17608, {1, 3, 1, 3, 11, 3, 53, 153, 103, 911, 1595, 1899, 1049, 11643, 21105, 61587, 92399}},
+{7786, 17, 17616, {1, 1, 5, 15, 29, 55, 99, 101, 181, 453, 1917, 2081, 4687, 4335, 2817, 11861, 103167}},
+{7787, 17, 17621, {1, 3, 7, 15, 11, 7, 9, 3, 477, 281, 1141, 453, 4993, 7843, 6169, 49785, 53827}},
+{7788, 17, 17628, {1, 3, 7, 11, 25, 61, 77, 159, 83, 95, 1223, 85, 6309, 16145, 18729, 133, 14193}},
+{7789, 17, 17644, {1, 3, 3, 1, 7, 27, 97, 183, 263, 59, 915, 3857, 3349, 8123, 11251, 55163, 125703}},
+{7790, 17, 17649, {1, 3, 5, 5, 17, 33, 57, 55, 503, 811, 953, 349, 1949, 9127, 31015, 14475, 116769}},
+{7791, 17, 17652, {1, 3, 1, 1, 3, 53, 59, 131, 421, 971, 89, 3047, 3513, 13599, 4569, 54525, 54779}},
+{7792, 17, 17679, {1, 1, 3, 11, 9, 45, 95, 123, 197, 257, 1073, 1461, 5, 12701, 12559, 34989, 71631}},
+{7793, 17, 17691, {1, 3, 3, 7, 1, 27, 55, 191, 447, 561, 1975, 2665, 1341, 8969, 18519, 47389, 70847}},
+{7794, 17, 17693, {1, 1, 5, 5, 3, 31, 15, 165, 95, 423, 233, 2309, 7777, 3503, 20105, 3085, 92349}},
+{7795, 17, 17697, {1, 3, 1, 13, 23, 61, 7, 55, 157, 1, 83, 515, 2169, 14397, 18149, 56855, 117265}},
+{7796, 17, 17698, {1, 3, 3, 3, 3, 59, 69, 95, 127, 241, 65, 3145, 491, 13809, 17529, 20223, 96579}},
+{7797, 17, 17700, {1, 1, 1, 5, 13, 43, 117, 163, 305, 955, 2007, 3337, 807, 16019, 5721, 5479, 90937}},
+{7798, 17, 17704, {1, 3, 3, 1, 19, 9, 127, 5, 113, 491, 1873, 2127, 7949, 5207, 32531, 775, 131065}},
+{7799, 17, 17707, {1, 1, 7, 3, 1, 3, 91, 187, 37, 873, 1039, 4075, 5645, 243, 15127, 45615, 3813}},
+{7800, 17, 17715, {1, 1, 3, 11, 3, 37, 67, 59, 439, 763, 213, 1099, 1659, 12783, 30297, 60713, 43497}},
+{7801, 17, 17718, {1, 3, 3, 13, 23, 49, 47, 191, 245, 985, 487, 3165, 7803, 2437, 19073, 30605, 119641}},
+{7802, 17, 17721, {1, 3, 7, 7, 19, 43, 7, 253, 93, 99, 145, 219, 699, 2433, 3009, 565, 99671}},
+{7803, 17, 17722, {1, 1, 3, 13, 7, 5, 9, 23, 219, 155, 925, 3427, 6631, 16353, 4115, 20831, 49525}},
+{7804, 17, 17727, {1, 1, 7, 11, 15, 45, 41, 35, 301, 273, 241, 4031, 5441, 8281, 9341, 8499, 73841}},
+{7805, 17, 17729, {1, 3, 7, 13, 9, 19, 79, 3, 163, 197, 509, 2301, 6971, 11525, 8805, 33805, 111595}},
+{7806, 17, 17747, {1, 3, 3, 1, 15, 45, 69, 253, 155, 639, 1045, 749, 3619, 14871, 18063, 49763, 66687}},
+{7807, 17, 17754, {1, 3, 3, 3, 29, 5, 41, 171, 265, 677, 1719, 2623, 1721, 12243, 18741, 39595, 92873}},
+{7808, 17, 17756, {1, 3, 5, 7, 27, 23, 69, 61, 453, 399, 1857, 3901, 6565, 15595, 1083, 15065, 91249}},
+{7809, 17, 17760, {1, 1, 5, 7, 1, 27, 9, 145, 95, 983, 685, 2079, 5117, 5037, 22695, 53135, 43569}},
+{7810, 17, 17765, {1, 1, 3, 5, 5, 7, 69, 59, 331, 409, 179, 333, 1293, 3863, 9473, 12537, 55605}},
+{7811, 17, 17778, {1, 3, 5, 1, 1, 19, 1, 49, 317, 769, 91, 2073, 1765, 1197, 15029, 52553, 57361}},
+{7812, 17, 17784, {1, 1, 5, 1, 23, 13, 11, 69, 345, 877, 41, 817, 617, 14415, 8337, 53973, 50007}},
+{7813, 17, 17794, {1, 1, 7, 3, 19, 27, 69, 103, 115, 893, 219, 2891, 2813, 9933, 26401, 63323, 30909}},
+{7814, 17, 17805, {1, 1, 5, 5, 27, 15, 119, 3, 11, 783, 541, 2431, 2395, 3921, 15471, 34657, 100295}},
+{7815, 17, 17806, {1, 1, 7, 11, 15, 25, 39, 191, 345, 1001, 1773, 715, 1627, 15957, 30085, 34097, 58747}},
+{7816, 17, 17817, {1, 1, 1, 5, 17, 43, 65, 81, 487, 387, 1359, 145, 2231, 6693, 15857, 59539, 79615}},
+{7817, 17, 17824, {1, 1, 3, 5, 15, 19, 17, 233, 247, 611, 587, 2587, 2321, 2835, 1477, 41991, 88143}},
+{7818, 17, 17839, {1, 3, 3, 15, 27, 15, 53, 61, 359, 989, 283, 3569, 5551, 11849, 20995, 34065, 69407}},
+{7819, 17, 17842, {1, 3, 3, 11, 13, 31, 41, 87, 379, 47, 1289, 3143, 4213, 8643, 17065, 10707, 62773}},
+{7820, 17, 17844, {1, 3, 7, 1, 9, 61, 59, 121, 453, 663, 27, 793, 4501, 7713, 285, 13279, 11633}},
+{7821, 17, 17851, {1, 1, 7, 5, 29, 51, 57, 15, 233, 743, 879, 2317, 3399, 15741, 605, 57529, 87427}},
+{7822, 17, 17862, {1, 1, 1, 1, 19, 59, 51, 119, 273, 403, 1649, 3877, 3561, 10931, 21139, 2599, 77957}},
+{7823, 17, 17868, {1, 3, 1, 3, 5, 1, 79, 131, 251, 585, 359, 2073, 7041, 13611, 22937, 24645, 72827}},
+{7824, 17, 17871, {1, 3, 7, 9, 19, 39, 93, 137, 359, 565, 1123, 1301, 4111, 13683, 1361, 25147, 38315}},
+{7825, 17, 17873, {1, 1, 5, 13, 27, 31, 11, 243, 111, 243, 1615, 1649, 2999, 15873, 19161, 57485, 35819}},
+{7826, 17, 17896, {1, 3, 3, 5, 25, 57, 61, 207, 219, 969, 303, 1165, 6753, 13473, 10789, 52883, 45205}},
+{7827, 17, 17904, {1, 1, 7, 11, 9, 53, 55, 175, 399, 981, 255, 2499, 373, 13131, 26803, 48017, 25599}},
+{7828, 17, 17909, {1, 1, 3, 3, 11, 23, 73, 25, 83, 39, 1813, 747, 3287, 795, 11917, 55509, 105057}},
+{7829, 17, 17920, {1, 3, 7, 15, 29, 59, 47, 171, 219, 875, 71, 123, 8131, 15595, 12471, 62439, 131}},
+{7830, 17, 17923, {1, 3, 5, 13, 9, 27, 119, 233, 323, 943, 375, 3647, 185, 1639, 431, 27225, 130175}},
+{7831, 17, 17947, {1, 3, 7, 3, 7, 17, 31, 155, 89, 835, 1015, 2019, 3973, 7087, 16899, 29591, 40797}},
+{7832, 17, 17950, {1, 3, 3, 1, 3, 11, 83, 231, 209, 537, 1227, 1519, 1059, 14027, 18591, 34031, 125755}},
+{7833, 17, 17956, {1, 3, 3, 1, 7, 39, 19, 99, 169, 961, 385, 1621, 7373, 7459, 8979, 23643, 17101}},
+{7834, 17, 17959, {1, 1, 3, 11, 11, 23, 61, 37, 359, 981, 209, 2555, 2673, 6501, 12731, 10735, 97321}},
+{7835, 17, 17966, {1, 1, 3, 13, 15, 61, 115, 119, 99, 755, 1933, 345, 3133, 12071, 26657, 7133, 18553}},
+{7836, 17, 17971, {1, 3, 1, 5, 17, 7, 29, 119, 445, 911, 89, 19, 6137, 8037, 19527, 22467, 29253}},
+{7837, 17, 17973, {1, 1, 3, 11, 31, 21, 119, 21, 249, 371, 343, 4037, 7539, 14473, 23829, 46415, 60911}},
+{7838, 17, 17992, {1, 1, 7, 9, 21, 53, 29, 149, 467, 893, 479, 359, 1007, 13955, 9667, 10245, 74761}},
+{7839, 17, 18006, {1, 3, 1, 7, 7, 45, 7, 77, 289, 271, 1329, 261, 5675, 8275, 7443, 57945, 117825}},
+{7840, 17, 18009, {1, 1, 1, 3, 21, 57, 117, 77, 287, 119, 1073, 915, 2521, 455, 7433, 56953, 84433}},
+{7841, 17, 18010, {1, 1, 1, 9, 27, 47, 1, 189, 303, 375, 215, 3117, 4541, 12877, 15523, 32317, 104213}},
+{7842, 17, 18022, {1, 1, 3, 1, 13, 39, 37, 249, 371, 159, 1073, 1351, 4703, 2715, 17463, 3945, 51523}},
+{7843, 17, 18039, {1, 3, 5, 5, 29, 15, 79, 25, 61, 995, 1081, 3377, 345, 13773, 4205, 20589, 83591}},
+{7844, 17, 18046, {1, 1, 3, 1, 9, 1, 41, 39, 389, 509, 561, 3273, 1911, 15271, 22655, 34713, 2045}},
+{7845, 17, 18069, {1, 3, 1, 15, 17, 1, 55, 55, 119, 707, 843, 2657, 3687, 11557, 18331, 4935, 110639}},
+{7846, 17, 18074, {1, 3, 5, 1, 23, 35, 119, 215, 471, 643, 1581, 1965, 2627, 2991, 3361, 6737, 111657}},
+{7847, 17, 18076, {1, 3, 5, 7, 9, 19, 33, 197, 33, 993, 1795, 595, 7113, 14721, 12647, 41035, 13669}},
+{7848, 17, 18085, {1, 1, 7, 15, 31, 39, 51, 157, 373, 473, 665, 3541, 6695, 11741, 5617, 17189, 129851}},
+{7849, 17, 18086, {1, 3, 3, 7, 15, 37, 33, 175, 391, 159, 717, 593, 113, 9331, 10685, 59003, 26975}},
+{7850, 17, 18095, {1, 1, 3, 5, 13, 41, 11, 109, 9, 899, 1503, 901, 6237, 7789, 9963, 14923, 63665}},
+{7851, 17, 18100, {1, 3, 7, 7, 25, 61, 3, 231, 235, 29, 1049, 1997, 5371, 9047, 29595, 49239, 108649}},
+{7852, 17, 18109, {1, 1, 3, 5, 27, 1, 53, 209, 315, 747, 1803, 11, 1815, 6539, 8839, 18385, 88681}},
+{7853, 17, 18121, {1, 1, 5, 13, 25, 55, 117, 197, 13, 689, 751, 1203, 2277, 1763, 23453, 54459, 118023}},
+{7854, 17, 18127, {1, 3, 3, 11, 21, 1, 51, 101, 429, 723, 273, 3021, 1491, 9923, 6629, 63741, 98813}},
+{7855, 17, 18129, {1, 1, 1, 15, 17, 25, 111, 251, 43, 403, 465, 17, 787, 6045, 32185, 22921, 115851}},
+{7856, 17, 18132, {1, 1, 5, 11, 11, 13, 13, 93, 489, 941, 1391, 383, 7735, 1921, 16199, 53099, 25181}},
+{7857, 17, 18141, {1, 3, 3, 7, 15, 1, 3, 159, 507, 867, 1589, 2111, 3839, 8989, 12589, 37657, 97055}},
+{7858, 17, 18146, {1, 3, 3, 13, 25, 23, 7, 95, 489, 1001, 105, 2737, 5013, 14465, 25383, 57551, 77425}},
+{7859, 17, 18151, {1, 3, 5, 3, 3, 7, 81, 15, 255, 297, 1183, 655, 741, 3081, 2141, 34493, 103707}},
+{7860, 17, 18157, {1, 1, 7, 9, 27, 57, 49, 121, 21, 239, 829, 2001, 613, 9569, 4419, 20007, 59109}},
+{7861, 17, 18160, {1, 3, 7, 1, 3, 21, 109, 255, 45, 333, 915, 1245, 5893, 765, 28289, 53927, 15335}},
+{7862, 17, 18183, {1, 3, 3, 7, 5, 35, 33, 79, 111, 509, 347, 3915, 2017, 6461, 11847, 17807, 48601}},
+{7863, 17, 18204, {1, 3, 5, 1, 13, 63, 87, 65, 507, 277, 339, 3637, 6289, 719, 9383, 38887, 55061}},
+{7864, 17, 18218, {1, 1, 5, 15, 17, 5, 59, 107, 355, 1021, 1849, 1807, 7679, 305, 31533, 1221, 98165}},
+{7865, 17, 18226, {1, 1, 1, 13, 19, 7, 37, 63, 267, 399, 1451, 2149, 1003, 13635, 18693, 215, 15887}},
+{7866, 17, 18238, {1, 1, 3, 7, 11, 63, 81, 251, 253, 963, 635, 1697, 6393, 9775, 24189, 9099, 106277}},
+{7867, 17, 18245, {1, 3, 3, 13, 17, 47, 63, 47, 279, 879, 271, 1655, 1897, 10743, 2607, 16695, 32779}},
+{7868, 17, 18249, {1, 3, 5, 15, 3, 1, 121, 181, 303, 973, 19, 3327, 3827, 2197, 31857, 22835, 122611}},
+{7869, 17, 18260, {1, 1, 5, 13, 25, 41, 105, 197, 195, 85, 1515, 2735, 7539, 7557, 24297, 38721, 46895}},
+{7870, 17, 18267, {1, 1, 1, 1, 15, 63, 33, 7, 43, 971, 781, 1461, 4483, 2113, 32459, 37653, 68017}},
+{7871, 17, 18270, {1, 3, 3, 9, 7, 1, 65, 183, 171, 695, 191, 3675, 6749, 6823, 3577, 45031, 81597}},
+{7872, 17, 18273, {1, 3, 3, 3, 9, 61, 13, 159, 295, 329, 943, 3293, 79, 14497, 21461, 4667, 96435}},
+{7873, 17, 18274, {1, 1, 7, 9, 29, 37, 117, 215, 295, 591, 1139, 3093, 7469, 7995, 13581, 48075, 5943}},
+{7874, 17, 18276, {1, 3, 1, 9, 11, 11, 117, 255, 419, 551, 1445, 1987, 1169, 14227, 31095, 36041, 63739}},
+{7875, 17, 18283, {1, 1, 7, 15, 17, 25, 81, 27, 87, 463, 1871, 551, 7449, 12231, 28645, 32663, 43037}},
+{7876, 17, 18307, {1, 3, 5, 11, 3, 49, 109, 123, 397, 113, 1269, 2433, 4463, 1257, 2127, 6677, 96009}},
+{7877, 17, 18314, {1, 1, 1, 11, 27, 19, 83, 123, 297, 867, 941, 3929, 3483, 4641, 32505, 48999, 66169}},
+{7878, 17, 18321, {1, 1, 5, 11, 5, 21, 11, 255, 369, 859, 657, 587, 5245, 12973, 22403, 47935, 121375}},
+{7879, 17, 18334, {1, 3, 1, 13, 17, 43, 83, 51, 339, 967, 499, 1485, 5203, 10053, 31707, 31443, 75033}},
+{7880, 17, 18355, {1, 1, 5, 13, 11, 5, 121, 121, 73, 101, 1751, 3805, 1333, 14043, 26957, 27557, 110899}},
+{7881, 17, 18364, {1, 3, 7, 11, 9, 7, 125, 237, 437, 177, 841, 175, 5509, 9157, 3129, 54119, 109315}},
+{7882, 17, 18372, {1, 3, 7, 15, 1, 59, 87, 121, 43, 475, 1589, 1267, 1501, 1585, 31705, 33959, 27247}},
+{7883, 17, 18390, {1, 1, 5, 3, 27, 63, 117, 205, 169, 701, 1081, 2835, 8049, 11875, 4143, 17663, 90043}},
+{7884, 17, 18399, {1, 3, 1, 9, 23, 27, 31, 141, 411, 145, 1177, 3681, 3403, 6943, 10729, 47219, 102713}},
+{7885, 17, 18415, {1, 1, 7, 11, 5, 49, 33, 27, 121, 865, 471, 1871, 6945, 10051, 4493, 7121, 65551}},
+{7886, 17, 18420, {1, 1, 5, 1, 17, 27, 53, 13, 31, 403, 1319, 1381, 1371, 11693, 18805, 54683, 30137}},
+{7887, 17, 18434, {1, 1, 7, 11, 9, 21, 71, 155, 79, 145, 943, 3891, 641, 3163, 28493, 14729, 83391}},
+{7888, 17, 18443, {1, 3, 3, 13, 3, 53, 21, 189, 245, 803, 1625, 4005, 1163, 16033, 5549, 14301, 115859}},
+{7889, 17, 18446, {1, 3, 1, 5, 17, 59, 61, 31, 293, 677, 1753, 1803, 1671, 14619, 22361, 61453, 78203}},
+{7890, 17, 18460, {1, 3, 3, 1, 5, 51, 99, 231, 175, 97, 1335, 689, 1913, 6157, 22757, 52395, 118347}},
+{7891, 17, 18467, {1, 3, 3, 7, 25, 11, 113, 19, 289, 507, 1143, 3437, 7965, 12551, 27603, 8423, 46713}},
+{7892, 17, 18482, {1, 1, 3, 9, 13, 1, 73, 9, 425, 407, 363, 2915, 4269, 2903, 9251, 17733, 80321}},
+{7893, 17, 18484, {1, 1, 3, 11, 31, 47, 37, 211, 433, 237, 1069, 1891, 6175, 9305, 30385, 2497, 94775}},
+{7894, 17, 18501, {1, 1, 3, 1, 23, 5, 113, 103, 427, 587, 1863, 1863, 679, 2575, 13059, 16163, 42289}},
+{7895, 17, 18506, {1, 1, 5, 3, 7, 17, 45, 33, 209, 609, 1897, 95, 5123, 2239, 5483, 60715, 126497}},
+{7896, 17, 18516, {1, 1, 5, 11, 1, 55, 67, 223, 41, 967, 337, 2511, 7879, 1157, 17635, 64081, 421}},
+{7897, 17, 18519, {1, 3, 3, 9, 27, 33, 87, 97, 231, 895, 1337, 829, 47, 8481, 14059, 57209, 109159}},
+{7898, 17, 18547, {1, 3, 7, 1, 25, 5, 41, 161, 393, 523, 1623, 3761, 1933, 8319, 17309, 46717, 97299}},
+{7899, 17, 18569, {1, 1, 1, 11, 5, 55, 19, 191, 41, 791, 1611, 59, 2633, 13873, 25859, 42879, 54807}},
+{7900, 17, 18575, {1, 3, 1, 11, 11, 33, 5, 13, 199, 411, 895, 759, 2735, 16225, 31469, 24081, 31857}},
+{7901, 17, 18589, {1, 1, 7, 13, 27, 57, 21, 191, 389, 977, 1013, 3493, 6401, 15957, 23181, 52461, 41853}},
+{7902, 17, 18590, {1, 3, 7, 5, 23, 19, 117, 117, 427, 923, 1347, 3099, 247, 8879, 5309, 53277, 100625}},
+{7903, 17, 18605, {1, 1, 5, 13, 11, 23, 69, 37, 119, 329, 1935, 2851, 5127, 6907, 24651, 11135, 118287}},
+{7904, 17, 18611, {1, 1, 3, 15, 23, 1, 69, 107, 253, 771, 1697, 4035, 3219, 15011, 6995, 19255, 39909}},
+{7905, 17, 18625, {1, 3, 1, 1, 5, 21, 35, 173, 407, 603, 27, 3589, 2879, 2755, 17679, 6145, 95989}},
+{7906, 17, 18652, {1, 1, 5, 13, 31, 23, 61, 139, 341, 593, 1673, 4031, 4809, 1107, 22657, 29073, 53401}},
+{7907, 17, 18665, {1, 3, 1, 15, 13, 37, 39, 61, 443, 417, 1125, 1529, 1943, 7317, 2985, 50285, 107069}},
+{7908, 17, 18673, {1, 1, 3, 9, 5, 51, 87, 91, 31, 491, 1455, 1685, 2579, 6023, 10989, 64635, 130147}},
+{7909, 17, 18674, {1, 3, 5, 5, 31, 23, 15, 163, 357, 161, 1597, 1571, 5039, 13213, 32221, 4405, 88079}},
+{7910, 17, 18683, {1, 1, 1, 15, 13, 43, 7, 109, 243, 389, 683, 2671, 8003, 4187, 6507, 11171, 116727}},
+{7911, 17, 18688, {1, 3, 7, 1, 17, 31, 53, 5, 227, 755, 1755, 2939, 1789, 8951, 16777, 30203, 79005}},
+{7912, 17, 18691, {1, 3, 3, 9, 27, 5, 111, 241, 89, 333, 371, 1035, 5719, 2433, 29343, 50829, 25131}},
+{7913, 17, 18698, {1, 1, 3, 13, 7, 37, 125, 69, 79, 397, 1595, 123, 255, 2257, 10881, 27085, 99411}},
+{7914, 17, 18717, {1, 1, 3, 15, 1, 35, 61, 73, 507, 775, 1631, 2005, 4277, 8421, 5669, 39221, 19053}},
+{7915, 17, 18733, {1, 1, 3, 7, 15, 17, 65, 157, 19, 997, 861, 1249, 4059, 7975, 955, 5833, 97733}},
+{7916, 17, 18754, {1, 1, 5, 5, 21, 43, 1, 181, 1, 17, 1337, 3333, 3761, 12283, 20941, 231, 30457}},
+{7917, 17, 18759, {1, 3, 3, 7, 7, 23, 105, 101, 101, 757, 1407, 565, 2187, 1529, 29385, 22847, 57675}},
+{7918, 17, 18760, {1, 3, 3, 1, 11, 3, 65, 93, 201, 773, 1037, 1325, 673, 6625, 2909, 63435, 114311}},
+{7919, 17, 18771, {1, 3, 5, 1, 21, 43, 87, 37, 491, 323, 1093, 2493, 4755, 7225, 12037, 9483, 70351}},
+{7920, 17, 18777, {1, 1, 7, 9, 23, 39, 59, 117, 103, 645, 1975, 1177, 55, 325, 23781, 64365, 94915}},
+{7921, 17, 18796, {1, 3, 7, 15, 21, 29, 109, 35, 307, 847, 777, 3457, 7899, 17, 24065, 10517, 35651}},
+{7922, 17, 18799, {1, 1, 7, 9, 25, 35, 49, 131, 377, 429, 1773, 2107, 6305, 15209, 9567, 17685, 5599}},
+{7923, 17, 18807, {1, 1, 3, 11, 13, 27, 47, 125, 483, 229, 921, 2733, 2217, 2615, 24135, 28759, 109411}},
+{7924, 17, 18813, {1, 3, 1, 7, 19, 45, 23, 195, 445, 955, 853, 2877, 6889, 9507, 2009, 18747, 50545}},
+{7925, 17, 18817, {1, 1, 1, 5, 15, 35, 75, 177, 145, 683, 309, 893, 4999, 827, 26563, 30819, 111115}},
+{7926, 17, 18820, {1, 3, 3, 11, 5, 45, 49, 39, 93, 653, 1053, 2553, 863, 12185, 30261, 16459, 121061}},
+{7927, 17, 18827, {1, 3, 7, 5, 11, 29, 57, 43, 409, 71, 67, 3537, 263, 13237, 8825, 58411, 44629}},
+{7928, 17, 18829, {1, 1, 5, 13, 1, 37, 23, 171, 13, 309, 239, 2023, 6233, 8751, 11371, 5825, 77355}},
+{7929, 17, 18838, {1, 3, 1, 13, 5, 1, 47, 217, 369, 609, 453, 879, 4337, 4441, 8785, 51963, 53819}},
+{7930, 17, 18842, {1, 3, 5, 5, 23, 1, 67, 147, 27, 121, 1369, 569, 1519, 11585, 18193, 30889, 78055}},
+{7931, 17, 18848, {1, 1, 1, 13, 11, 53, 33, 37, 419, 111, 1649, 2495, 6105, 12385, 30865, 3683, 63813}},
+{7932, 17, 18853, {1, 3, 3, 5, 17, 35, 107, 235, 471, 735, 1093, 1007, 567, 173, 9623, 39533, 56455}},
+{7933, 17, 18885, {1, 1, 7, 15, 27, 13, 123, 211, 407, 857, 801, 3951, 8153, 4427, 15333, 13217, 92675}},
+{7934, 17, 18890, {1, 1, 1, 7, 11, 61, 99, 131, 121, 119, 1483, 1485, 3521, 13163, 24899, 56849, 111943}},
+{7935, 17, 18898, {1, 3, 3, 1, 19, 1, 29, 139, 127, 557, 1913, 1487, 1381, 185, 11195, 52499, 45059}},
+{7936, 17, 18903, {1, 3, 7, 11, 5, 29, 95, 111, 235, 55, 1101, 2631, 1219, 9867, 22209, 3095, 56793}},
+{7937, 17, 18910, {1, 3, 7, 1, 31, 61, 37, 125, 241, 985, 1079, 1439, 433, 2779, 8463, 59985, 39667}},
+{7938, 17, 18913, {1, 3, 7, 15, 5, 7, 71, 7, 435, 727, 1611, 135, 1421, 8329, 29995, 64243, 58285}},
+{7939, 17, 18931, {1, 3, 3, 15, 27, 11, 121, 27, 281, 499, 267, 2651, 7575, 9499, 5051, 49475, 79573}},
+{7940, 17, 18934, {1, 3, 3, 15, 29, 47, 11, 183, 235, 537, 79, 2467, 3751, 831, 6725, 52173, 108645}},
+{7941, 17, 18956, {1, 3, 5, 13, 23, 31, 23, 19, 477, 511, 727, 183, 5955, 7613, 31979, 8441, 39835}},
+{7942, 17, 18961, {1, 1, 5, 7, 17, 31, 53, 133, 387, 787, 1573, 89, 1975, 1825, 19963, 27203, 124923}},
+{7943, 17, 18968, {1, 1, 1, 9, 3, 15, 125, 135, 89, 37, 517, 3931, 2013, 2143, 25413, 18421, 6097}},
+{7944, 17, 18978, {1, 1, 3, 11, 23, 29, 89, 45, 53, 135, 223, 3523, 7921, 3271, 1819, 40931, 65471}},
+{7945, 17, 18983, {1, 1, 1, 13, 17, 3, 121, 25, 509, 61, 1009, 2009, 7813, 8499, 5807, 63171, 75991}},
+{7946, 17, 18987, {1, 3, 5, 13, 15, 35, 37, 45, 161, 683, 1665, 59, 6297, 9595, 10193, 46745, 105411}},
+{7947, 17, 18992, {1, 3, 1, 7, 21, 19, 85, 107, 3, 845, 673, 1271, 7581, 15971, 27085, 35375, 29027}},
+{7948, 17, 18997, {1, 3, 3, 9, 5, 17, 79, 137, 123, 809, 583, 3507, 7559, 2857, 13911, 57083, 8595}},
+{7949, 17, 19002, {1, 1, 7, 5, 31, 29, 77, 33, 439, 787, 1223, 2471, 5851, 15891, 27925, 51661, 82645}},
+{7950, 17, 19004, {1, 1, 7, 15, 19, 35, 35, 37, 197, 245, 799, 3971, 277, 11289, 20111, 13857, 104571}},
+{7951, 17, 19010, {1, 3, 5, 15, 19, 3, 65, 17, 201, 1007, 1665, 107, 2409, 1469, 23265, 24547, 8189}},
+{7952, 17, 19012, {1, 3, 1, 13, 29, 45, 109, 243, 43, 383, 631, 265, 6671, 15333, 21931, 30675, 103077}},
+{7953, 17, 19030, {1, 1, 5, 1, 25, 25, 77, 189, 109, 777, 1485, 2265, 1403, 2627, 13843, 27263, 14263}},
+{7954, 17, 19043, {1, 3, 5, 1, 13, 49, 73, 107, 225, 243, 1253, 3503, 735, 2605, 27165, 45467, 93001}},
+{7955, 17, 19049, {1, 1, 5, 9, 15, 17, 1, 33, 69, 321, 1375, 3635, 8131, 6579, 1225, 38699, 17447}},
+{7956, 17, 19079, {1, 3, 5, 3, 25, 49, 15, 149, 483, 37, 1929, 1219, 5841, 11975, 805, 31339, 130971}},
+{7957, 17, 19086, {1, 3, 3, 3, 15, 29, 3, 143, 291, 593, 1769, 3603, 1693, 151, 27701, 9015, 25847}},
+{7958, 17, 19100, {1, 3, 1, 11, 5, 35, 55, 127, 137, 71, 967, 2501, 1023, 2061, 31387, 44011, 130121}},
+{7959, 17, 19103, {1, 1, 7, 1, 29, 13, 93, 41, 125, 263, 521, 2633, 4361, 12153, 30647, 55883, 65185}},
+{7960, 17, 19107, {1, 3, 7, 9, 23, 19, 61, 197, 139, 463, 1867, 3627, 5185, 8251, 26977, 48027, 66301}},
+{7961, 17, 19109, {1, 3, 3, 7, 27, 53, 25, 137, 175, 155, 1843, 2253, 4797, 4989, 32613, 55779, 91625}},
+{7962, 17, 19113, {1, 3, 3, 11, 1, 5, 21, 233, 295, 675, 47, 2995, 8075, 8201, 3845, 23925, 82559}},
+{7963, 17, 19116, {1, 1, 3, 7, 31, 53, 93, 21, 307, 709, 9, 3061, 3935, 11009, 13411, 3657, 30251}},
+{7964, 17, 19127, {1, 3, 7, 13, 13, 25, 51, 205, 391, 897, 275, 333, 6831, 9383, 16101, 14301, 99101}},
+{7965, 17, 19134, {1, 1, 5, 15, 17, 47, 119, 7, 189, 765, 753, 2909, 3373, 2379, 20331, 61535, 51345}},
+{7966, 17, 19141, {1, 1, 3, 1, 27, 43, 9, 185, 9, 197, 1179, 67, 7689, 9679, 29683, 29905, 29393}},
+{7967, 17, 19179, {1, 1, 5, 5, 31, 55, 69, 9, 477, 91, 1705, 1877, 5463, 15401, 13449, 27541, 125521}},
+{7968, 17, 19193, {1, 1, 7, 15, 15, 33, 11, 233, 69, 771, 845, 2715, 5293, 10351, 19557, 15319, 36857}},
+{7969, 17, 19194, {1, 3, 7, 7, 15, 9, 123, 47, 165, 739, 361, 1675, 2743, 8021, 10241, 48275, 51935}},
+{7970, 17, 19201, {1, 1, 5, 1, 9, 25, 99, 83, 487, 627, 343, 3233, 6697, 13197, 19771, 38337, 89139}},
+{7971, 17, 19208, {1, 3, 7, 13, 1, 31, 15, 63, 463, 621, 935, 1093, 6043, 14051, 13665, 43413, 104893}},
+{7972, 17, 19214, {1, 1, 1, 3, 27, 1, 47, 151, 127, 357, 689, 3263, 141, 4459, 9847, 205, 88493}},
+{7973, 17, 19225, {1, 3, 7, 15, 29, 13, 41, 113, 495, 421, 195, 197, 6857, 10555, 22861, 30229, 31707}},
+{7974, 17, 19226, {1, 3, 5, 11, 11, 1, 89, 227, 425, 623, 1605, 1901, 7933, 7211, 16301, 3403, 59651}},
+{7975, 17, 19235, {1, 1, 3, 3, 27, 41, 37, 89, 395, 903, 1641, 2739, 5599, 11371, 8683, 61125, 105231}},
+{7976, 17, 19242, {1, 3, 7, 9, 1, 17, 51, 233, 507, 783, 459, 1187, 7281, 15809, 27637, 6067, 125877}},
+{7977, 17, 19264, {1, 3, 1, 3, 13, 57, 5, 199, 261, 357, 1255, 1849, 8013, 10313, 9375, 1271, 64117}},
+{7978, 17, 19267, {1, 3, 1, 11, 9, 59, 55, 95, 401, 423, 1657, 513, 3565, 12957, 19243, 53027, 11323}},
+{7979, 17, 19293, {1, 3, 7, 13, 27, 35, 121, 215, 397, 991, 191, 3443, 3829, 6107, 5381, 48497, 107997}},
+{7980, 17, 19309, {1, 1, 5, 5, 19, 15, 21, 53, 165, 835, 1599, 3245, 5609, 5991, 18141, 28075, 102809}},
+{7981, 17, 19318, {1, 3, 5, 9, 25, 21, 71, 15, 453, 475, 915, 3097, 5869, 699, 13883, 34919, 127211}},
+{7982, 17, 19324, {1, 1, 3, 7, 21, 53, 27, 207, 373, 703, 593, 17, 6991, 15013, 10125, 34801, 129245}},
+{7983, 17, 19337, {1, 3, 3, 13, 17, 9, 89, 95, 291, 681, 1415, 2323, 2885, 11381, 7703, 3691, 51505}},
+{7984, 17, 19340, {1, 1, 1, 11, 15, 63, 55, 153, 373, 665, 983, 3987, 5997, 6873, 27031, 65449, 22021}},
+{7985, 17, 19345, {1, 1, 5, 5, 1, 55, 119, 61, 159, 889, 225, 709, 1879, 2521, 69, 7815, 18733}},
+{7986, 17, 19346, {1, 3, 5, 11, 23, 53, 23, 61, 71, 993, 633, 1829, 3465, 12465, 30205, 40723, 74499}},
+{7987, 17, 19352, {1, 3, 3, 1, 17, 37, 19, 43, 55, 133, 1171, 3101, 3963, 5177, 24791, 7255, 10263}},
+{7988, 17, 19364, {1, 3, 7, 1, 21, 13, 21, 87, 237, 629, 1167, 3699, 597, 6251, 11545, 34429, 104393}},
+{7989, 17, 19382, {1, 1, 7, 1, 11, 53, 105, 111, 463, 869, 549, 2423, 17, 917, 879, 49367, 72235}},
+{7990, 17, 19391, {1, 1, 5, 15, 17, 51, 69, 55, 309, 867, 257, 573, 4821, 5245, 28033, 61801, 18253}},
+{7991, 17, 19405, {1, 1, 5, 3, 1, 23, 103, 241, 13, 267, 21, 1751, 6637, 12537, 26741, 40651, 94493}},
+{7992, 17, 19411, {1, 3, 3, 13, 25, 35, 21, 83, 337, 363, 1111, 1865, 7889, 985, 465, 40287, 64469}},
+{7993, 17, 19439, {1, 1, 7, 5, 27, 1, 99, 95, 209, 211, 1445, 1577, 6097, 13813, 22463, 64395, 106383}},
+{7994, 17, 19442, {1, 3, 1, 15, 1, 45, 77, 247, 273, 1023, 1377, 1989, 5787, 15267, 24363, 42717, 125617}},
+{7995, 17, 19444, {1, 1, 1, 3, 9, 49, 79, 171, 427, 439, 1725, 3179, 6263, 12437, 31353, 22077, 94455}},
+{7996, 17, 19451, {1, 3, 5, 11, 11, 45, 57, 97, 409, 935, 967, 2509, 3431, 5707, 19473, 15853, 129059}},
+{7997, 17, 19465, {1, 1, 7, 5, 7, 21, 105, 29, 359, 145, 1691, 131, 6721, 10971, 16173, 38193, 37091}},
+{7998, 17, 19471, {1, 1, 1, 15, 15, 35, 5, 185, 455, 507, 681, 3355, 2091, 3437, 27231, 28527, 5383}},
+{7999, 17, 19474, {1, 3, 5, 3, 7, 29, 33, 127, 57, 495, 1069, 3635, 7461, 9861, 18757, 39039, 92421}},
+{8000, 17, 19476, {1, 3, 5, 5, 11, 31, 51, 59, 413, 417, 1577, 2837, 5229, 4501, 18645, 37613, 31325}},
+{8001, 17, 19479, {1, 1, 5, 13, 15, 61, 17, 247, 413, 817, 907, 2249, 3901, 11275, 7469, 33403, 30629}},
+{8002, 17, 19485, {1, 3, 5, 7, 31, 7, 109, 177, 277, 75, 449, 3029, 7135, 427, 26641, 43157, 47671}},
+{8003, 17, 19489, {1, 3, 7, 13, 29, 63, 21, 187, 471, 289, 835, 3885, 6111, 8721, 9841, 24017, 18673}},
+{8004, 17, 19496, {1, 1, 5, 13, 25, 37, 15, 35, 227, 623, 47, 189, 3443, 1911, 8579, 50911, 10895}},
+{8005, 17, 19507, {1, 3, 1, 1, 29, 53, 89, 101, 251, 203, 821, 2485, 633, 7943, 27563, 58735, 72057}},
+{8006, 17, 19513, {1, 3, 7, 9, 23, 61, 121, 199, 19, 165, 131, 1373, 637, 7307, 7109, 42475, 126669}},
+{8007, 17, 19514, {1, 3, 7, 13, 7, 5, 125, 173, 365, 65, 565, 751, 3343, 13421, 6177, 39095, 97375}},
+{8008, 17, 19521, {1, 1, 7, 3, 1, 59, 65, 39, 307, 793, 887, 3291, 3405, 4497, 19351, 1821, 67861}},
+{8009, 17, 19524, {1, 1, 1, 3, 19, 9, 101, 183, 163, 819, 769, 49, 5293, 3715, 4055, 32403, 90763}},
+{8010, 17, 19546, {1, 3, 3, 1, 27, 31, 21, 123, 457, 1021, 1791, 2217, 6171, 11445, 15605, 59945, 19663}},
+{8011, 17, 19552, {1, 1, 1, 9, 13, 53, 61, 201, 457, 111, 1217, 377, 5871, 4591, 16379, 42817, 129807}},
+{8012, 17, 19555, {1, 3, 1, 5, 23, 37, 25, 7, 125, 651, 349, 3727, 1487, 5103, 31407, 40215, 16065}},
+{8013, 17, 19557, {1, 1, 3, 11, 19, 29, 1, 193, 13, 287, 331, 985, 5391, 7307, 28075, 9939, 84999}},
+{8014, 17, 19575, {1, 1, 1, 11, 21, 37, 117, 241, 229, 957, 2019, 819, 459, 6185, 21533, 64725, 24709}},
+{8015, 17, 19579, {1, 3, 5, 13, 11, 25, 107, 245, 175, 519, 629, 537, 2227, 15123, 10619, 32611, 118697}},
+{8016, 17, 19591, {1, 3, 1, 11, 5, 53, 119, 253, 489, 181, 1365, 3465, 1323, 949, 3657, 2467, 38545}},
+{8017, 17, 19595, {1, 1, 3, 9, 27, 17, 109, 19, 297, 541, 89, 3021, 761, 5577, 907, 21405, 128029}},
+{8018, 17, 19605, {1, 1, 3, 9, 31, 9, 61, 149, 267, 707, 671, 2733, 1247, 14623, 6395, 42579, 30845}},
+{8019, 17, 19615, {1, 1, 7, 7, 25, 29, 63, 41, 309, 275, 2019, 1373, 1003, 13891, 16571, 16209, 30115}},
+{8020, 17, 19616, {1, 3, 7, 1, 5, 21, 53, 97, 475, 799, 1963, 1181, 4187, 8767, 24779, 10403, 98349}},
+{8021, 17, 19626, {1, 3, 3, 13, 19, 9, 125, 227, 347, 535, 353, 3087, 769, 9049, 20145, 27433, 23105}},
+{8022, 17, 19631, {1, 1, 1, 15, 7, 61, 51, 113, 403, 501, 1767, 2785, 7151, 14517, 17533, 24913, 7121}},
+{8023, 17, 19634, {1, 1, 1, 9, 7, 21, 27, 169, 425, 567, 31, 35, 7859, 929, 6545, 33983, 13227}},
+{8024, 17, 19640, {1, 1, 5, 15, 11, 15, 69, 33, 127, 1005, 1947, 989, 6333, 15587, 18523, 53547, 115613}},
+{8025, 17, 19645, {1, 3, 5, 3, 1, 55, 7, 99, 213, 737, 363, 3167, 3949, 3723, 15777, 23207, 22901}},
+{8026, 17, 19678, {1, 1, 1, 9, 9, 29, 121, 85, 467, 811, 1, 3543, 6259, 4477, 31371, 27633, 22995}},
+{8027, 17, 19681, {1, 3, 5, 3, 11, 21, 95, 19, 55, 71, 803, 3655, 3749, 5113, 13611, 38097, 20943}},
+{8028, 17, 19682, {1, 3, 3, 11, 19, 25, 127, 105, 447, 499, 485, 881, 2649, 10297, 22283, 18305, 128919}},
+{8029, 17, 19706, {1, 3, 7, 1, 11, 45, 21, 87, 481, 645, 815, 793, 5763, 3945, 14379, 19623, 103199}},
+{8030, 17, 19708, {1, 3, 5, 1, 3, 45, 39, 229, 359, 151, 1079, 3955, 2107, 9593, 6701, 2811, 55215}},
+{8031, 17, 19713, {1, 3, 7, 7, 27, 59, 69, 211, 373, 643, 977, 3545, 2647, 10473, 27919, 10719, 24823}},
+{8032, 17, 19714, {1, 1, 3, 11, 7, 27, 117, 21, 59, 679, 969, 3813, 2701, 7363, 17525, 31229, 100665}},
+{8033, 17, 19720, {1, 3, 3, 5, 29, 53, 113, 141, 197, 991, 81, 2701, 6831, 7949, 16569, 44185, 29631}},
+{8034, 17, 19725, {1, 1, 1, 3, 1, 31, 9, 101, 347, 585, 577, 2529, 7461, 11921, 29475, 34505, 74911}},
+{8035, 17, 19743, {1, 1, 1, 15, 25, 19, 95, 37, 93, 755, 1891, 2309, 623, 13503, 5811, 45863, 106501}},
+{8036, 17, 19753, {1, 1, 5, 3, 15, 23, 51, 225, 87, 679, 1225, 4015, 3971, 163, 3185, 12921, 51267}},
+{8037, 17, 19756, {1, 1, 5, 1, 1, 37, 105, 181, 379, 657, 571, 2775, 5905, 8391, 32069, 18713, 125833}},
+{8038, 17, 19759, {1, 1, 7, 11, 11, 19, 109, 125, 371, 321, 629, 2165, 2861, 7883, 15503, 37679, 33057}},
+{8039, 17, 19762, {1, 1, 3, 5, 7, 5, 21, 5, 169, 321, 1145, 2243, 6143, 2537, 4429, 56493, 39391}},
+{8040, 17, 19776, {1, 3, 5, 5, 31, 7, 15, 175, 441, 663, 921, 3113, 2261, 13033, 19135, 28657, 92225}},
+{8041, 17, 19786, {1, 3, 1, 11, 13, 9, 25, 57, 297, 3, 1561, 825, 2803, 11327, 2699, 28631, 57277}},
+{8042, 17, 19799, {1, 1, 3, 9, 15, 25, 81, 197, 345, 341, 1557, 1375, 2509, 11949, 30201, 6807, 95199}},
+{8043, 17, 19800, {1, 3, 5, 3, 15, 23, 91, 147, 277, 59, 495, 1423, 1775, 12065, 8401, 22639, 111199}},
+{8044, 17, 19803, {1, 1, 5, 1, 1, 59, 35, 255, 229, 293, 187, 2663, 3967, 6493, 20103, 36703, 108939}},
+{8045, 17, 19806, {1, 3, 7, 11, 15, 1, 23, 39, 27, 281, 11, 3119, 2791, 1691, 16521, 39715, 32145}},
+{8046, 17, 19815, {1, 3, 5, 5, 9, 53, 43, 49, 107, 1015, 431, 3017, 3317, 9655, 19193, 45621, 56861}},
+{8047, 17, 19816, {1, 3, 1, 15, 27, 63, 127, 31, 21, 245, 1503, 3339, 6375, 5411, 12369, 35973, 9473}},
+{8048, 17, 19857, {1, 1, 3, 13, 31, 61, 19, 99, 25, 593, 539, 1807, 673, 12339, 23567, 22005, 130341}},
+{8049, 17, 19860, {1, 1, 5, 3, 3, 3, 13, 183, 255, 41, 641, 581, 6509, 1891, 19195, 28277, 51725}},
+{8050, 17, 19874, {1, 1, 3, 5, 3, 59, 17, 227, 9, 345, 1303, 1535, 3089, 2653, 20647, 63159, 124677}},
+{8051, 17, 19883, {1, 3, 1, 11, 25, 19, 117, 29, 221, 461, 1285, 1427, 7183, 3051, 10839, 47491, 92613}},
+{8052, 17, 19885, {1, 1, 3, 5, 27, 19, 1, 235, 51, 215, 783, 2325, 1191, 4679, 14365, 35479, 65083}},
+{8053, 17, 19886, {1, 3, 3, 5, 27, 17, 79, 185, 259, 369, 1399, 1029, 2219, 10975, 30487, 15247, 39789}},
+{8054, 17, 19893, {1, 3, 3, 1, 13, 13, 59, 119, 249, 471, 1433, 1165, 5345, 4431, 375, 64999, 85577}},
+{8055, 17, 19932, {1, 1, 1, 3, 1, 19, 13, 243, 35, 675, 321, 3625, 7835, 6403, 651, 48283, 91819}},
+{8056, 17, 19960, {1, 3, 3, 1, 27, 13, 73, 159, 145, 59, 287, 2419, 8115, 7923, 18933, 36109, 123879}},
+{8057, 17, 19972, {1, 3, 1, 7, 21, 1, 83, 245, 477, 623, 391, 129, 6897, 3447, 11109, 17017, 68277}},
+{8058, 17, 19975, {1, 1, 3, 11, 13, 43, 119, 93, 99, 393, 1219, 995, 1881, 7929, 4337, 33579, 103211}},
+{8059, 17, 20005, {1, 1, 7, 7, 31, 5, 39, 25, 119, 819, 409, 2395, 151, 12763, 28265, 28909, 35685}},
+{8060, 17, 20009, {1, 1, 1, 1, 3, 13, 59, 205, 19, 843, 1691, 955, 1859, 1791, 22083, 37843, 63615}},
+{8061, 17, 20010, {1, 1, 1, 3, 11, 63, 41, 243, 103, 875, 1337, 3731, 6317, 12951, 31743, 56935, 55975}},
+{8062, 17, 20012, {1, 1, 3, 13, 19, 11, 51, 97, 469, 279, 1621, 3521, 853, 11849, 3331, 27907, 119081}},
+{8063, 17, 20023, {1, 1, 5, 1, 23, 55, 9, 141, 449, 41, 167, 2441, 6783, 2785, 3547, 35379, 74973}},
+{8064, 17, 20024, {1, 1, 5, 3, 15, 55, 13, 75, 107, 153, 1841, 3991, 3229, 6523, 18541, 21571, 31539}},
+{8065, 17, 20030, {1, 3, 1, 1, 27, 37, 35, 201, 401, 867, 1861, 1783, 6255, 14001, 29543, 25843, 39719}},
+{8066, 17, 20038, {1, 1, 7, 15, 3, 43, 113, 173, 297, 457, 1369, 4053, 5033, 5513, 27387, 14725, 79937}},
+{8067, 17, 20041, {1, 1, 5, 13, 5, 27, 109, 93, 187, 833, 1551, 2899, 1681, 6979, 1289, 3507, 66499}},
+{8068, 17, 20055, {1, 1, 3, 11, 11, 47, 121, 29, 129, 807, 2037, 1527, 6083, 14803, 10669, 46047, 70241}},
+{8069, 17, 20059, {1, 3, 1, 9, 29, 3, 19, 191, 461, 527, 1389, 3359, 81, 6773, 12185, 49207, 19091}},
+{8070, 17, 20061, {1, 3, 7, 7, 5, 47, 33, 27, 445, 1, 149, 343, 4827, 91, 29233, 37775, 89321}},
+{8071, 17, 20080, {1, 3, 5, 1, 13, 55, 107, 99, 259, 591, 983, 3863, 1231, 3457, 29645, 10709, 16543}},
+{8072, 17, 20086, {1, 3, 7, 9, 29, 5, 9, 165, 337, 187, 219, 97, 6511, 193, 23947, 36329, 35317}},
+{8073, 17, 20089, {1, 3, 7, 1, 31, 25, 5, 175, 409, 1021, 1873, 289, 7143, 15341, 31501, 25707, 106453}},
+{8074, 17, 20095, {1, 3, 7, 7, 27, 1, 15, 221, 341, 987, 1739, 1183, 8139, 11081, 29721, 42991, 72805}},
+{8075, 17, 20111, {1, 1, 1, 9, 11, 1, 13, 17, 501, 543, 1485, 987, 1861, 8527, 1621, 30461, 23057}},
+{8076, 17, 20116, {1, 3, 7, 7, 9, 41, 1, 253, 71, 1009, 427, 3347, 6987, 3303, 30535, 33345, 126459}},
+{8077, 17, 20130, {1, 1, 1, 7, 11, 11, 15, 11, 305, 559, 1805, 1111, 377, 1495, 13471, 34831, 123125}},
+{8078, 17, 20136, {1, 1, 5, 7, 9, 37, 27, 45, 61, 705, 263, 3181, 7077, 5227, 28121, 42865, 3809}},
+{8079, 17, 20147, {1, 1, 5, 1, 23, 25, 29, 199, 259, 959, 661, 43, 6157, 1547, 1497, 24077, 129939}},
+{8080, 17, 20153, {1, 3, 5, 3, 13, 49, 33, 19, 367, 891, 1777, 3119, 5673, 8383, 14487, 1763, 63495}},
+{8081, 17, 20156, {1, 1, 1, 13, 9, 57, 35, 181, 7, 225, 449, 3843, 6257, 4983, 31307, 16559, 27633}},
+{8082, 17, 20167, {1, 3, 1, 11, 7, 33, 55, 81, 41, 61, 1711, 3273, 7629, 11283, 9103, 24105, 107547}},
+{8083, 17, 20173, {1, 3, 5, 5, 13, 17, 13, 51, 235, 869, 1543, 1249, 7749, 14773, 21751, 53497, 108709}},
+{8084, 17, 20182, {1, 1, 3, 9, 3, 63, 89, 43, 23, 479, 115, 3917, 7943, 7323, 5659, 64507, 46941}},
+{8085, 17, 20185, {1, 1, 3, 1, 25, 63, 25, 169, 459, 633, 1785, 1059, 5113, 4799, 29281, 24561, 17017}},
+{8086, 17, 20202, {1, 1, 3, 3, 15, 3, 11, 173, 493, 5, 1575, 653, 7391, 7453, 8297, 28653, 6213}},
+{8087, 17, 20209, {1, 1, 7, 5, 29, 5, 1, 57, 75, 479, 787, 3417, 3349, 111, 17787, 41141, 97597}},
+{8088, 17, 20229, {1, 3, 7, 1, 11, 7, 107, 159, 435, 159, 1401, 803, 7065, 5923, 4005, 37271, 113791}},
+{8089, 17, 20233, {1, 1, 5, 1, 23, 55, 7, 59, 351, 801, 1279, 3231, 4561, 2857, 20563, 46115, 79489}},
+{8090, 17, 20236, {1, 3, 3, 15, 19, 13, 113, 33, 149, 175, 1127, 3815, 4357, 12645, 4449, 61355, 83023}},
+{8091, 17, 20241, {1, 1, 7, 15, 3, 17, 41, 57, 243, 319, 1631, 2751, 7853, 5977, 28367, 20023, 56049}},
+{8092, 17, 20242, {1, 3, 1, 7, 27, 59, 7, 13, 497, 241, 1827, 2861, 1331, 1759, 6037, 18967, 42849}},
+{8093, 17, 20248, {1, 3, 1, 1, 31, 43, 41, 183, 241, 219, 335, 2331, 755, 10589, 29431, 29007, 66667}},
+{8094, 17, 20278, {1, 1, 3, 1, 27, 37, 61, 117, 471, 39, 139, 3821, 2945, 7035, 23673, 20167, 56169}},
+{8095, 17, 20282, {1, 3, 1, 1, 9, 29, 123, 61, 171, 1015, 1029, 1695, 1039, 11883, 259, 10879, 97709}},
+{8096, 17, 20299, {1, 3, 3, 5, 29, 39, 65, 193, 285, 635, 999, 717, 5465, 1849, 4293, 19775, 79121}},
+{8097, 17, 20307, {1, 1, 7, 1, 3, 3, 103, 15, 451, 307, 1027, 263, 6585, 11651, 14457, 62695, 38407}},
+{8098, 17, 20313, {1, 3, 7, 11, 13, 13, 29, 83, 267, 561, 2041, 13, 3167, 3475, 14735, 34455, 117533}},
+{8099, 17, 20314, {1, 3, 1, 15, 5, 1, 35, 225, 151, 637, 1347, 833, 7077, 13145, 10285, 46583, 14351}},
+{8100, 17, 20320, {1, 1, 3, 15, 27, 63, 119, 159, 209, 421, 1413, 2727, 1607, 7175, 6133, 29051, 97387}},
+{8101, 17, 20326, {1, 1, 3, 5, 9, 29, 35, 93, 353, 903, 1037, 469, 5473, 7193, 21883, 14709, 89023}},
+{8102, 17, 20332, {1, 1, 1, 11, 9, 17, 51, 155, 145, 443, 1985, 423, 4721, 15721, 9747, 10303, 21909}},
+{8103, 17, 20350, {1, 3, 7, 15, 19, 49, 53, 153, 241, 739, 1585, 3945, 4869, 11, 15845, 17937, 69397}},
+{8104, 17, 20360, {1, 1, 5, 7, 19, 53, 43, 211, 327, 723, 1513, 1569, 919, 1771, 11309, 50787, 7459}},
+{8105, 17, 20371, {1, 1, 1, 9, 7, 29, 49, 89, 409, 685, 201, 1327, 2807, 13101, 2485, 62909, 102595}},
+{8106, 17, 20373, {1, 3, 1, 13, 21, 51, 37, 231, 271, 475, 855, 3703, 4447, 5161, 17937, 14471, 47173}},
+{8107, 17, 20377, {1, 1, 7, 3, 9, 7, 121, 197, 71, 147, 1669, 1745, 6589, 15029, 1529, 12625, 121925}},
+{8108, 17, 20390, {1, 1, 1, 3, 7, 47, 63, 61, 187, 341, 919, 307, 389, 14141, 12941, 17917, 104289}},
+{8109, 17, 20396, {1, 3, 5, 13, 19, 43, 57, 11, 383, 311, 1229, 3527, 3301, 12473, 24377, 16279, 92733}},
+{8110, 17, 20404, {1, 3, 3, 5, 25, 35, 63, 23, 131, 481, 809, 3627, 5685, 13695, 14121, 64751, 66181}},
+{8111, 17, 20413, {1, 3, 1, 5, 11, 43, 89, 55, 103, 219, 1861, 3223, 5111, 5879, 31399, 1395, 87419}},
+{8112, 17, 20434, {1, 3, 1, 11, 21, 27, 123, 205, 47, 923, 7, 1635, 4019, 8431, 28313, 24275, 129617}},
+{8113, 17, 20436, {1, 1, 1, 3, 1, 11, 91, 215, 393, 999, 1071, 3225, 4415, 759, 24499, 16109, 33791}},
+{8114, 17, 20440, {1, 1, 3, 13, 19, 45, 77, 103, 105, 395, 529, 3631, 8179, 4467, 30263, 39379, 70507}},
+{8115, 17, 20443, {1, 3, 3, 9, 17, 45, 101, 219, 433, 971, 471, 1243, 6955, 5941, 20641, 16119, 129383}},
+{8116, 17, 20445, {1, 1, 7, 7, 9, 9, 91, 95, 503, 171, 129, 1509, 7179, 5367, 2219, 50445, 112459}},
+{8117, 17, 20464, {1, 3, 7, 1, 17, 17, 19, 173, 229, 519, 147, 1835, 3797, 8091, 20335, 33177, 90197}},
+{8118, 17, 20476, {1, 3, 3, 5, 23, 29, 107, 205, 43, 969, 799, 1239, 1353, 5221, 15175, 42945, 34043}},
+{8119, 17, 20494, {1, 1, 5, 7, 31, 63, 67, 87, 189, 301, 1719, 3937, 965, 2505, 24781, 25133, 91675}},
+{8120, 17, 20496, {1, 3, 1, 7, 15, 25, 11, 39, 281, 35, 1149, 1445, 6451, 12069, 20959, 29895, 60059}},
+{8121, 17, 20501, {1, 1, 5, 1, 1, 17, 65, 213, 359, 561, 2015, 1629, 3521, 6877, 8099, 62483, 103903}},
+{8122, 17, 20518, {1, 1, 7, 9, 7, 49, 1, 227, 49, 823, 1141, 2419, 2697, 13293, 14143, 6323, 16081}},
+{8123, 17, 20527, {1, 3, 3, 1, 9, 13, 99, 235, 343, 601, 927, 183, 4545, 14529, 5521, 55571, 90675}},
+{8124, 17, 20529, {1, 1, 5, 1, 13, 49, 95, 153, 131, 955, 283, 2951, 3651, 7743, 4285, 42621, 110577}},
+{8125, 17, 20535, {1, 1, 1, 9, 19, 59, 97, 181, 67, 357, 497, 287, 3523, 3729, 28981, 59687, 39463}},
+{8126, 17, 20544, {1, 1, 3, 7, 5, 19, 107, 55, 393, 225, 1953, 669, 8063, 6537, 15983, 59891, 95079}},
+{8127, 17, 20568, {1, 3, 1, 5, 29, 21, 17, 169, 447, 697, 1613, 3483, 3139, 11175, 28865, 12065, 130241}},
+{8128, 17, 20589, {1, 3, 5, 7, 5, 49, 35, 181, 85, 505, 1537, 1345, 773, 3255, 27405, 3959, 126377}},
+{8129, 17, 20592, {1, 1, 7, 15, 9, 9, 17, 99, 409, 319, 807, 1721, 4023, 2171, 32657, 51663, 23253}},
+{8130, 17, 20601, {1, 3, 5, 1, 5, 3, 37, 219, 89, 263, 397, 573, 6147, 9525, 2521, 11153, 94319}},
+{8131, 17, 20617, {1, 1, 5, 5, 11, 39, 55, 205, 209, 239, 1443, 2477, 1941, 8337, 2883, 54593, 129859}},
+{8132, 17, 20625, {1, 1, 1, 7, 11, 13, 127, 65, 127, 413, 1553, 413, 3395, 9451, 7517, 34103, 57029}},
+{8133, 17, 20626, {1, 1, 1, 15, 5, 25, 109, 181, 399, 1023, 277, 3365, 6209, 827, 13933, 27483, 63835}},
+{8134, 17, 20632, {1, 1, 3, 3, 21, 57, 95, 127, 481, 365, 197, 3631, 7443, 4925, 31277, 35061, 35875}},
+{8135, 17, 20638, {1, 1, 7, 13, 3, 31, 59, 127, 441, 967, 1049, 1281, 3553, 375, 9683, 45755, 18889}},
+{8136, 17, 20644, {1, 1, 1, 13, 11, 39, 49, 43, 383, 607, 157, 1887, 3623, 13335, 31949, 49843, 96781}},
+{8137, 17, 20647, {1, 3, 7, 13, 19, 35, 21, 9, 299, 425, 1921, 3481, 6849, 4149, 5227, 56737, 27559}},
+{8138, 17, 20662, {1, 3, 7, 5, 21, 11, 79, 97, 1, 849, 819, 1133, 3393, 5429, 10621, 38787, 120785}},
+{8139, 17, 20671, {1, 1, 1, 13, 21, 29, 3, 239, 399, 619, 759, 2655, 3691, 655, 30979, 15507, 114791}},
+{8140, 17, 20674, {1, 3, 5, 3, 1, 61, 79, 43, 273, 965, 1759, 3901, 2437, 1703, 20205, 46291, 23679}},
+{8141, 17, 20683, {1, 1, 1, 9, 19, 57, 75, 245, 377, 261, 231, 3683, 6745, 7797, 28471, 56269, 109969}},
+{8142, 17, 20704, {1, 3, 1, 11, 9, 55, 53, 87, 33, 431, 1805, 2933, 455, 12479, 16235, 2667, 70105}},
+{8143, 17, 20724, {1, 3, 5, 1, 29, 1, 101, 17, 377, 499, 1365, 209, 4819, 15099, 8769, 37003, 53003}},
+{8144, 17, 20742, {1, 3, 5, 11, 11, 39, 109, 235, 337, 393, 35, 1071, 7085, 7165, 25143, 24223, 71493}},
+{8145, 17, 20748, {1, 3, 1, 5, 13, 49, 9, 205, 305, 943, 799, 2405, 319, 10755, 9785, 32023, 48015}},
+{8146, 17, 20765, {1, 3, 1, 9, 29, 35, 123, 101, 73, 747, 1257, 407, 5871, 4271, 14837, 52727, 13339}},
+{8147, 17, 20776, {1, 3, 3, 9, 31, 7, 113, 27, 89, 123, 1117, 531, 5531, 7897, 11209, 35267, 123457}},
+{8148, 17, 20789, {1, 1, 1, 1, 29, 19, 93, 11, 61, 743, 267, 13, 6561, 7667, 20537, 12675, 10481}},
+{8149, 17, 20796, {1, 1, 5, 13, 27, 47, 103, 171, 349, 139, 1709, 961, 783, 7147, 5569, 53395, 80797}},
+{8150, 17, 20802, {1, 3, 1, 9, 21, 49, 41, 175, 507, 861, 1157, 1033, 6795, 5795, 603, 12485, 75263}},
+{8151, 17, 20807, {1, 1, 5, 7, 23, 3, 21, 165, 123, 951, 785, 2065, 8001, 7009, 22981, 10011, 9807}},
+{8152, 17, 20814, {1, 3, 7, 15, 1, 53, 49, 197, 231, 351, 141, 3465, 7907, 10695, 30913, 26753, 71079}},
+{8153, 17, 20821, {1, 3, 5, 3, 29, 45, 23, 131, 65, 507, 75, 275, 7287, 187, 1093, 52657, 31533}},
+{8154, 17, 20832, {1, 3, 5, 9, 9, 7, 113, 125, 441, 75, 663, 4081, 3147, 1469, 28375, 35747, 122965}},
+{8155, 17, 20835, {1, 1, 7, 3, 3, 57, 5, 17, 183, 237, 965, 3709, 4161, 9513, 217, 58835, 78789}},
+{8156, 17, 20847, {1, 1, 3, 1, 7, 25, 13, 29, 173, 319, 1723, 57, 2401, 10405, 15541, 52915, 93747}},
+{8157, 17, 20859, {1, 1, 7, 5, 1, 31, 11, 61, 341, 97, 1199, 2585, 5909, 3707, 31507, 51233, 2389}},
+{8158, 17, 20871, {1, 1, 5, 15, 15, 21, 127, 155, 229, 203, 1303, 3215, 1965, 9481, 31909, 52307, 112207}},
+{8159, 17, 20883, {1, 3, 1, 13, 9, 45, 91, 39, 113, 587, 895, 637, 2475, 1695, 9347, 53255, 75797}},
+{8160, 17, 20886, {1, 3, 5, 13, 17, 11, 35, 83, 69, 255, 741, 3927, 153, 11001, 29145, 37107, 51873}},
+{8161, 17, 20892, {1, 1, 7, 5, 5, 37, 35, 219, 153, 1005, 973, 2555, 893, 5931, 23857, 34631, 74561}},
+{8162, 17, 20906, {1, 3, 1, 11, 21, 63, 113, 29, 115, 307, 957, 407, 879, 4819, 2865, 1773, 116825}},
+{8163, 17, 20908, {1, 3, 7, 3, 19, 55, 87, 21, 139, 571, 311, 2295, 2729, 6371, 11845, 30223, 19247}},
+{8164, 17, 20957, {1, 3, 7, 5, 23, 9, 59, 25, 357, 863, 435, 2509, 5599, 14039, 25731, 41645, 255}},
+{8165, 17, 20962, {1, 3, 7, 13, 9, 3, 63, 115, 503, 489, 1585, 813, 5419, 691, 23973, 18677, 59979}},
+{8166, 17, 20968, {1, 1, 1, 1, 13, 3, 55, 23, 185, 731, 459, 1497, 433, 16243, 29995, 20777, 59513}},
+{8167, 17, 20979, {1, 1, 7, 3, 27, 55, 77, 57, 349, 5, 617, 385, 6225, 7025, 23335, 877, 21973}},
+{8168, 17, 20991, {1, 3, 3, 5, 3, 37, 105, 197, 153, 639, 1643, 1093, 801, 4605, 4551, 46081, 7739}},
+{8169, 17, 20998, {1, 1, 5, 11, 29, 23, 5, 91, 39, 489, 2029, 887, 4451, 11463, 5641, 56299, 34027}},
+{8170, 17, 21007, {1, 1, 7, 3, 17, 11, 25, 161, 317, 701, 155, 1989, 7549, 11529, 9945, 18395, 61251}},
+{8171, 17, 21010, {1, 1, 7, 13, 23, 55, 113, 91, 17, 149, 1893, 2793, 8185, 81, 29487, 47925, 51837}},
+{8172, 17, 21026, {1, 3, 7, 7, 9, 29, 103, 161, 215, 129, 113, 1987, 919, 9639, 20715, 6541, 15041}},
+{8173, 17, 21037, {1, 1, 5, 9, 19, 19, 127, 43, 263, 997, 1687, 3801, 4249, 6309, 25889, 1787, 122771}},
+{8174, 17, 21038, {1, 3, 5, 13, 17, 3, 91, 183, 349, 467, 333, 3299, 3085, 12135, 16801, 31471, 37227}},
+{8175, 17, 21045, {1, 1, 5, 3, 7, 53, 11, 221, 407, 545, 237, 3631, 1791, 3729, 19737, 921, 57303}},
+{8176, 17, 21057, {1, 3, 7, 15, 3, 27, 71, 45, 219, 9, 1135, 2267, 6841, 8637, 30317, 9397, 115425}},
+{8177, 17, 21082, {1, 1, 3, 5, 29, 59, 121, 225, 419, 813, 1725, 3969, 3451, 8457, 31803, 57659, 33263}},
+{8178, 17, 21093, {1, 3, 3, 3, 17, 3, 65, 249, 423, 293, 1333, 3947, 1477, 4005, 30445, 28171, 95823}},
+{8179, 17, 21094, {1, 3, 3, 11, 29, 45, 67, 89, 75, 95, 555, 1823, 2795, 11929, 1995, 30013, 116241}},
+{8180, 17, 21105, {1, 3, 3, 3, 23, 35, 87, 221, 385, 275, 803, 387, 7765, 15637, 27953, 20913, 25279}},
+{8181, 17, 21117, {1, 3, 7, 15, 15, 43, 21, 179, 393, 95, 1913, 1715, 4467, 15093, 13613, 50775, 37133}},
+{8182, 17, 21121, {1, 1, 7, 7, 31, 27, 49, 71, 323, 123, 597, 2395, 4449, 7249, 20197, 19789, 92685}},
+{8183, 17, 21124, {1, 1, 5, 13, 31, 37, 89, 225, 357, 201, 1887, 3915, 2165, 10809, 21623, 34375, 110905}},
+{8184, 17, 21136, {1, 1, 5, 7, 11, 53, 37, 55, 61, 679, 1465, 1587, 2215, 16237, 14985, 50507, 128637}},
+{8185, 17, 21139, {1, 1, 7, 1, 15, 53, 115, 21, 279, 555, 43, 2429, 7251, 2141, 4813, 47047, 119551}},
+{8186, 17, 21142, {1, 1, 5, 13, 11, 41, 59, 245, 337, 117, 1125, 4007, 947, 10591, 17795, 48535, 72171}},
+{8187, 17, 21145, {1, 1, 5, 15, 27, 41, 71, 43, 505, 539, 975, 1567, 795, 4433, 11689, 53051, 98819}},
+{8188, 17, 21167, {1, 1, 7, 9, 1, 57, 57, 137, 323, 311, 759, 3027, 3713, 13, 24133, 21451, 1153}},
+{8189, 17, 21170, {1, 1, 5, 15, 31, 49, 23, 123, 271, 549, 1995, 5, 6065, 3797, 1085, 50137, 19741}},
+{8190, 17, 21175, {1, 3, 3, 13, 5, 15, 21, 117, 487, 43, 1759, 2899, 4239, 9729, 16711, 31559, 34553}},
+{8191, 17, 21179, {1, 1, 5, 13, 5, 23, 83, 49, 147, 267, 923, 1377, 1687, 1793, 30383, 19537, 66989}},
+{8192, 17, 21182, {1, 1, 1, 13, 9, 41, 105, 241, 499, 891, 885, 3349, 4703, 5609, 11999, 58025, 69089}},
+{8193, 17, 21193, {1, 1, 7, 9, 21, 11, 121, 69, 115, 895, 91, 3745, 41, 12787, 26181, 31399, 30463}},
+{8194, 17, 21194, {1, 1, 7, 13, 11, 3, 23, 173, 5, 907, 45, 3465, 2807, 3731, 14347, 27973, 8567}},
+{8195, 17, 21207, {1, 3, 7, 5, 27, 47, 43, 25, 499, 57, 649, 705, 6223, 4213, 4549, 23213, 13657}},
+{8196, 17, 21217, {1, 1, 7, 11, 21, 35, 5, 79, 295, 359, 1993, 99, 7917, 14917, 2131, 45527, 31451}},
+{8197, 17, 21224, {1, 1, 5, 15, 1, 39, 85, 93, 65, 991, 389, 585, 4835, 11671, 10913, 41787, 84953}},
+{8198, 17, 21244, {1, 1, 1, 5, 27, 5, 1, 15, 11, 83, 1191, 3945, 4697, 7703, 6929, 6057, 88721}},
+{8199, 17, 21247, {1, 1, 3, 7, 27, 39, 71, 181, 191, 997, 419, 1671, 7771, 15305, 18677, 45033, 64745}},
+{8200, 17, 21252, {1, 3, 7, 3, 15, 41, 33, 239, 93, 307, 153, 2701, 1549, 5011, 6913, 19257, 55829}},
+{8201, 17, 21264, {1, 3, 3, 11, 21, 47, 69, 223, 365, 877, 431, 1629, 4803, 11591, 13973, 56359, 11897}},
+{8202, 17, 21273, {1, 3, 7, 7, 1, 59, 63, 129, 251, 873, 603, 2707, 2847, 8739, 31343, 63291, 5607}},
+{8203, 17, 21289, {1, 3, 5, 5, 19, 13, 79, 235, 151, 571, 953, 2191, 5973, 4751, 11119, 14439, 97755}},
+{8204, 17, 21290, {1, 1, 5, 1, 27, 3, 105, 139, 13, 821, 221, 2025, 7303, 1891, 28193, 45537, 92703}},
+{8205, 17, 21295, {1, 3, 7, 9, 13, 63, 27, 149, 51, 121, 587, 3695, 4115, 3955, 22493, 34903, 51669}},
+{8206, 17, 21297, {1, 1, 5, 7, 19, 5, 89, 87, 269, 585, 421, 3827, 315, 14739, 109, 43009, 94969}},
+{8207, 17, 21309, {1, 1, 5, 15, 9, 53, 125, 83, 159, 917, 1583, 585, 6839, 14957, 20007, 60467, 96309}},
+{8208, 17, 21318, {1, 3, 5, 1, 23, 49, 109, 91, 17, 731, 1083, 3153, 1825, 14293, 25639, 44599, 47541}},
+{8209, 17, 21322, {1, 1, 3, 7, 21, 51, 45, 25, 367, 925, 799, 1673, 6977, 7155, 829, 25899, 104615}},
+{8210, 17, 21324, {1, 3, 3, 13, 13, 49, 95, 239, 195, 353, 1967, 1419, 929, 503, 11717, 9485, 62885}},
+{8211, 17, 21329, {1, 1, 1, 15, 3, 41, 109, 91, 327, 789, 1429, 1159, 2801, 4845, 19663, 47737, 11029}},
+{8212, 17, 21332, {1, 3, 5, 1, 21, 63, 57, 107, 229, 771, 1911, 647, 6989, 12615, 23191, 64941, 97595}},
+{8213, 17, 21336, {1, 1, 1, 15, 5, 13, 15, 109, 459, 447, 1625, 1269, 7629, 7929, 4405, 12143, 40481}},
+{8214, 17, 21342, {1, 3, 3, 1, 23, 3, 95, 229, 363, 379, 1149, 1615, 5125, 3645, 27535, 58791, 38091}},
+{8215, 17, 21351, {1, 1, 1, 1, 9, 45, 119, 85, 151, 171, 1123, 41, 6517, 8067, 17845, 23301, 95383}},
+{8216, 17, 21355, {1, 3, 1, 15, 17, 31, 103, 71, 35, 1019, 1687, 1175, 6119, 14075, 26601, 28873, 36617}},
+{8217, 17, 21363, {1, 3, 3, 9, 13, 39, 7, 17, 207, 219, 637, 3025, 1709, 4031, 563, 14865, 129389}},
+{8218, 17, 21372, {1, 3, 7, 1, 21, 11, 121, 85, 111, 641, 1163, 3173, 5189, 13261, 19471, 39635, 76545}},
+{8219, 17, 21382, {1, 3, 7, 15, 3, 45, 3, 37, 121, 967, 1861, 3257, 3699, 6881, 11905, 8413, 59397}},
+{8220, 17, 21388, {1, 3, 3, 13, 25, 53, 85, 181, 1, 979, 2045, 297, 1739, 8139, 17897, 35251, 7193}},
+{8221, 17, 21394, {1, 1, 1, 3, 5, 49, 77, 115, 377, 209, 1415, 3747, 485, 803, 2507, 27729, 52201}},
+{8222, 17, 21403, {1, 3, 1, 5, 31, 55, 85, 171, 135, 893, 1423, 3693, 6155, 5321, 8297, 39183, 88377}},
+{8223, 17, 21409, {1, 3, 3, 15, 1, 35, 73, 239, 181, 101, 509, 2449, 4955, 13049, 27631, 16871, 40151}},
+{8224, 17, 21416, {1, 1, 7, 13, 27, 7, 109, 71, 437, 835, 563, 1355, 3681, 7431, 32743, 59693, 125055}},
+{8225, 17, 21421, {1, 1, 7, 5, 19, 23, 29, 147, 291, 507, 1943, 2069, 3309, 11569, 1031, 49345, 86735}},
+{8226, 17, 21424, {1, 1, 3, 13, 17, 45, 91, 167, 19, 137, 527, 961, 4435, 2277, 6863, 57917, 129407}},
+{8227, 17, 21444, {1, 3, 5, 7, 11, 31, 79, 207, 43, 871, 1121, 2929, 6899, 4099, 29533, 45333, 33299}},
+{8228, 17, 21453, {1, 1, 7, 5, 5, 49, 13, 95, 475, 91, 337, 3531, 3157, 1331, 32655, 46169, 3549}},
+{8229, 17, 21466, {1, 3, 1, 5, 5, 9, 73, 177, 123, 251, 717, 541, 7083, 6907, 1417, 31203, 9755}},
+{8230, 17, 21471, {1, 3, 1, 11, 21, 11, 91, 155, 447, 165, 1525, 2073, 5103, 193, 2677, 43673, 70579}},
+{8231, 17, 21495, {1, 3, 7, 1, 7, 27, 115, 247, 211, 779, 1999, 209, 3215, 111, 25567, 34641, 130873}},
+{8232, 17, 21499, {1, 1, 5, 9, 25, 7, 15, 19, 217, 831, 1577, 2051, 3533, 2337, 7675, 2845, 69135}},
+{8233, 17, 21504, {1, 3, 5, 15, 29, 11, 91, 59, 221, 383, 1235, 1261, 2967, 14989, 11455, 6459, 58047}},
+{8234, 17, 21507, {1, 3, 5, 1, 3, 35, 5, 127, 99, 981, 493, 3001, 5651, 3125, 27789, 57389, 115631}},
+{8235, 17, 21521, {1, 3, 5, 5, 29, 63, 123, 161, 247, 177, 1653, 2665, 3903, 11129, 20961, 49429, 44075}},
+{8236, 17, 21527, {1, 3, 1, 1, 13, 9, 57, 167, 291, 765, 1929, 397, 5503, 5601, 6957, 62003, 104631}},
+{8237, 17, 21555, {1, 1, 7, 15, 9, 43, 57, 85, 157, 361, 1931, 2183, 8045, 14939, 2169, 25733, 29095}},
+{8238, 17, 21558, {1, 1, 3, 15, 13, 35, 47, 123, 13, 667, 1373, 4069, 6259, 13453, 13439, 25349, 99437}},
+{8239, 17, 21562, {1, 3, 7, 1, 31, 15, 69, 45, 355, 919, 415, 793, 3987, 8785, 4905, 8177, 123989}},
+{8240, 17, 21570, {1, 3, 7, 13, 29, 27, 69, 57, 385, 185, 171, 2499, 3983, 13437, 23585, 21501, 88079}},
+{8241, 17, 21576, {1, 1, 5, 11, 27, 3, 77, 99, 221, 997, 1653, 1963, 2251, 15505, 26347, 51933, 100679}},
+{8242, 17, 21579, {1, 1, 1, 7, 19, 39, 49, 69, 193, 235, 959, 2823, 2573, 8001, 4389, 13217, 60975}},
+{8243, 17, 21581, {1, 1, 7, 5, 1, 3, 3, 189, 199, 293, 1225, 1913, 7271, 2255, 661, 23293, 82069}},
+{8244, 17, 21587, {1, 1, 5, 5, 21, 31, 35, 113, 47, 479, 325, 1663, 7409, 8975, 14151, 56317, 79663}},
+{8245, 17, 21590, {1, 1, 5, 9, 15, 63, 99, 135, 277, 715, 667, 387, 6929, 12873, 12913, 2599, 84939}},
+{8246, 17, 21599, {1, 1, 7, 15, 23, 39, 67, 25, 179, 313, 459, 295, 1103, 1737, 7529, 29463, 104693}},
+{8247, 17, 21605, {1, 1, 3, 13, 23, 11, 111, 67, 105, 191, 1967, 3497, 7621, 487, 18545, 59521, 115315}},
+{8248, 17, 21612, {1, 1, 1, 7, 25, 45, 83, 61, 231, 569, 155, 2817, 6985, 5289, 6731, 3087, 89749}},
+{8249, 17, 21618, {1, 3, 7, 1, 1, 61, 103, 49, 135, 411, 659, 1735, 4461, 8077, 12885, 62791, 114769}},
+{8250, 17, 21630, {1, 1, 7, 13, 3, 53, 21, 81, 433, 563, 857, 891, 195, 11669, 24769, 56539, 47601}},
+{8251, 17, 21639, {1, 3, 1, 13, 3, 41, 59, 101, 67, 803, 1209, 3267, 1255, 5763, 5483, 36339, 38451}},
+{8252, 17, 21640, {1, 3, 5, 3, 25, 51, 53, 213, 329, 11, 483, 81, 2151, 7623, 26309, 15289, 85103}},
+{8253, 17, 21643, {1, 3, 3, 13, 23, 17, 9, 161, 417, 207, 39, 3615, 7567, 15207, 20383, 58885, 121765}},
+{8254, 17, 21648, {1, 3, 1, 7, 15, 59, 9, 195, 187, 583, 341, 2737, 3891, 331, 18055, 60455, 113271}},
+{8255, 17, 21669, {1, 1, 3, 3, 19, 25, 95, 37, 281, 59, 1613, 2733, 5715, 4067, 5509, 5851, 35189}},
+{8256, 17, 21679, {1, 3, 1, 3, 31, 43, 125, 107, 341, 109, 1991, 849, 7795, 13607, 20421, 3339, 78979}},
+{8257, 17, 21681, {1, 3, 7, 13, 15, 57, 87, 151, 479, 99, 479, 447, 7407, 303, 16397, 15699, 122273}},
+{8258, 17, 21687, {1, 1, 3, 1, 27, 61, 79, 195, 5, 839, 1411, 3451, 4627, 13715, 18401, 24325, 44027}},
+{8259, 17, 21688, {1, 1, 7, 15, 21, 39, 57, 207, 213, 367, 547, 1203, 6385, 2555, 31465, 15675, 7133}},
+{8260, 17, 21706, {1, 1, 5, 15, 27, 3, 75, 123, 337, 1019, 1525, 3065, 1919, 10779, 27409, 6291, 86291}},
+{8261, 17, 21713, {1, 1, 7, 11, 15, 27, 67, 145, 125, 521, 647, 2957, 6337, 14973, 24139, 29107, 27151}},
+{8262, 17, 21714, {1, 1, 1, 13, 25, 57, 103, 83, 321, 111, 131, 2051, 5267, 4723, 1939, 40389, 4803}},
+{8263, 17, 21716, {1, 3, 1, 7, 29, 7, 35, 133, 349, 855, 613, 2563, 2261, 2119, 13939, 24727, 26719}},
+{8264, 17, 21730, {1, 3, 3, 1, 11, 61, 25, 177, 427, 1005, 2027, 649, 7871, 7803, 4717, 59207, 57945}},
+{8265, 17, 21732, {1, 1, 7, 1, 15, 45, 75, 133, 193, 745, 485, 197, 6001, 13837, 615, 43629, 127321}},
+{8266, 17, 21749, {1, 3, 3, 13, 5, 7, 101, 183, 211, 283, 1327, 1395, 8175, 13359, 18361, 54243, 3555}},
+{8267, 17, 21756, {1, 1, 7, 13, 7, 43, 19, 41, 319, 701, 795, 1407, 7113, 9149, 31953, 17075, 53975}},
+{8268, 17, 21774, {1, 3, 5, 13, 11, 19, 101, 125, 327, 75, 1471, 3465, 2247, 5107, 11519, 45161, 71373}},
+{8269, 17, 21779, {1, 3, 7, 13, 23, 59, 53, 57, 137, 575, 59, 3829, 963, 11259, 25771, 29223, 79535}},
+{8270, 17, 21781, {1, 3, 3, 11, 17, 31, 111, 147, 499, 441, 1385, 769, 6901, 8349, 1427, 16561, 7485}},
+{8271, 17, 21786, {1, 1, 7, 9, 21, 7, 47, 83, 351, 867, 265, 1329, 7853, 6959, 11821, 44947, 42275}},
+{8272, 17, 21792, {1, 1, 7, 15, 3, 17, 79, 143, 449, 577, 1007, 1101, 3229, 6861, 23921, 37551, 117309}},
+{8273, 17, 21810, {1, 3, 5, 11, 27, 63, 107, 15, 289, 821, 1723, 1945, 1373, 14469, 30985, 55987, 21255}},
+{8274, 17, 21819, {1, 3, 5, 3, 21, 39, 79, 85, 485, 733, 2031, 1573, 6873, 12225, 30471, 54233, 26967}},
+{8275, 17, 21829, {1, 3, 5, 7, 17, 29, 93, 251, 437, 583, 825, 551, 6545, 10905, 27863, 37037, 52129}},
+{8276, 17, 21830, {1, 3, 7, 9, 23, 1, 23, 85, 195, 319, 1759, 3985, 2413, 16205, 22197, 48821, 94907}},
+{8277, 17, 21844, {1, 1, 3, 7, 17, 47, 3, 195, 167, 925, 11, 3431, 1767, 5917, 13915, 54565, 64625}},
+{8278, 17, 21853, {1, 3, 1, 13, 23, 43, 97, 93, 313, 773, 591, 127, 6005, 11497, 32573, 8173, 92053}},
+{8279, 17, 21867, {1, 1, 5, 9, 17, 47, 115, 237, 389, 619, 377, 561, 1333, 6433, 9743, 32673, 98039}},
+{8280, 17, 21869, {1, 3, 7, 15, 23, 17, 99, 225, 145, 191, 2041, 581, 841, 9377, 18123, 32773, 66849}},
+{8281, 17, 21882, {1, 3, 7, 15, 21, 49, 97, 41, 357, 527, 2019, 2083, 2611, 12449, 20037, 52503, 105991}},
+{8282, 17, 21891, {1, 1, 5, 13, 17, 53, 41, 75, 355, 207, 1675, 591, 5797, 9217, 16443, 3205, 81905}},
+{8283, 17, 21898, {1, 3, 7, 11, 1, 61, 29, 207, 449, 103, 1527, 2327, 7895, 10137, 25223, 51607, 60809}},
+{8284, 17, 21917, {1, 3, 3, 5, 15, 57, 87, 233, 301, 989, 485, 2143, 7411, 5475, 23377, 56005, 59721}},
+{8285, 17, 21934, {1, 3, 1, 15, 29, 7, 95, 141, 369, 231, 735, 1103, 1565, 11575, 571, 3257, 62961}},
+{8286, 17, 21946, {1, 1, 5, 15, 27, 19, 25, 35, 303, 555, 95, 1323, 6139, 5079, 21763, 59591, 103537}},
+{8287, 17, 21948, {1, 1, 1, 13, 25, 23, 85, 151, 135, 349, 1753, 1061, 7697, 1723, 5213, 12581, 103995}},
+{8288, 17, 21963, {1, 3, 1, 9, 29, 51, 101, 195, 59, 809, 1527, 2179, 63, 3681, 29823, 57537, 121371}},
+{8289, 17, 21966, {1, 1, 7, 11, 27, 61, 85, 213, 245, 261, 1649, 2423, 6127, 5687, 4247, 56061, 109793}},
+{8290, 17, 21968, {1, 3, 5, 15, 11, 33, 127, 31, 269, 857, 2027, 2611, 1729, 11783, 16459, 31083, 30671}},
+{8291, 17, 21973, {1, 1, 7, 9, 11, 29, 127, 177, 505, 227, 1499, 1309, 6855, 9999, 21815, 32987, 79109}},
+{8292, 17, 21977, {1, 3, 7, 11, 7, 21, 107, 1, 493, 459, 867, 3199, 7985, 12957, 28197, 41133, 105985}},
+{8293, 17, 21980, {1, 1, 3, 15, 1, 57, 113, 97, 213, 547, 1017, 2961, 461, 16125, 10621, 4243, 58277}},
+{8294, 17, 21984, {1, 1, 3, 5, 11, 57, 61, 47, 209, 961, 333, 795, 4491, 15115, 25745, 62633, 66269}},
+{8295, 17, 21994, {1, 1, 7, 3, 19, 13, 49, 167, 455, 863, 581, 1407, 4247, 15023, 2247, 19981, 125891}},
+{8296, 17, 21999, {1, 1, 7, 15, 17, 55, 27, 35, 33, 349, 879, 1781, 1075, 2475, 30689, 42043, 29423}},
+{8297, 17, 22018, {1, 1, 1, 11, 25, 53, 121, 117, 117, 845, 447, 3927, 1951, 8643, 24497, 44833, 99533}},
+{8298, 17, 22020, {1, 1, 7, 13, 3, 59, 117, 9, 359, 453, 327, 3419, 5957, 97, 20541, 49441, 5673}},
+{8299, 17, 22029, {1, 3, 5, 5, 31, 35, 95, 107, 435, 733, 827, 1361, 6627, 8905, 2681, 25473, 46093}},
+{8300, 17, 22032, {1, 3, 3, 5, 7, 23, 75, 137, 231, 915, 637, 2963, 4409, 12799, 31587, 65363, 69539}},
+{8301, 17, 22041, {1, 1, 1, 7, 15, 35, 19, 233, 189, 837, 243, 2525, 6185, 565, 8133, 4265, 3089}},
+{8302, 17, 22047, {1, 1, 5, 5, 19, 59, 103, 201, 287, 449, 21, 2331, 341, 13145, 18607, 46407, 2767}},
+{8303, 17, 22048, {1, 3, 3, 15, 19, 41, 49, 179, 109, 367, 1185, 1045, 1635, 9647, 16613, 25357, 34291}},
+{8304, 17, 22071, {1, 3, 5, 1, 13, 11, 89, 25, 159, 637, 1979, 549, 3553, 9163, 227, 50553, 46307}},
+{8305, 17, 22075, {1, 1, 3, 1, 17, 33, 73, 239, 261, 751, 1267, 2643, 2549, 8331, 25083, 9715, 67289}},
+{8306, 17, 22078, {1, 1, 1, 13, 3, 49, 7, 35, 367, 293, 903, 1045, 569, 6017, 27635, 51833, 32963}},
+{8307, 17, 22083, {1, 3, 5, 3, 31, 3, 69, 137, 57, 87, 719, 3977, 3031, 7675, 24605, 8757, 93173}},
+{8308, 17, 22089, {1, 3, 3, 1, 7, 45, 97, 35, 233, 69, 1525, 4047, 2599, 13679, 4389, 49079, 121465}},
+{8309, 17, 22097, {1, 1, 7, 13, 7, 25, 57, 211, 337, 189, 1825, 2451, 7651, 11277, 27763, 40671, 57223}},
+{8310, 17, 22110, {1, 1, 1, 1, 15, 59, 55, 169, 461, 907, 407, 803, 3349, 4727, 20983, 47717, 51647}},
+{8311, 17, 22113, {1, 3, 7, 1, 15, 51, 25, 119, 439, 593, 1289, 3959, 5489, 13283, 31837, 8441, 58373}},
+{8312, 17, 22119, {1, 3, 1, 9, 5, 1, 81, 45, 13, 537, 1091, 3861, 6781, 5679, 2807, 29757, 40917}},
+{8313, 17, 22120, {1, 3, 5, 3, 27, 41, 19, 235, 207, 697, 775, 837, 3431, 3175, 10807, 42775, 67987}},
+{8314, 17, 22126, {1, 3, 7, 3, 29, 33, 35, 119, 271, 609, 1747, 2839, 3415, 2275, 30979, 41293, 99341}},
+{8315, 17, 22133, {1, 3, 3, 3, 5, 17, 13, 169, 269, 709, 1449, 3169, 1545, 16075, 8937, 39705, 19609}},
+{8316, 17, 22134, {1, 3, 5, 15, 29, 13, 1, 199, 65, 385, 977, 797, 1181, 10979, 241, 40393, 73663}},
+{8317, 17, 22140, {1, 1, 3, 7, 17, 35, 47, 63, 193, 451, 151, 3415, 99, 14557, 26025, 31361, 112639}},
+{8318, 17, 22147, {1, 1, 3, 5, 19, 13, 29, 33, 365, 311, 1241, 217, 6205, 13067, 18585, 21693, 97127}},
+{8319, 17, 22161, {1, 1, 3, 15, 19, 7, 87, 25, 91, 13, 1839, 1445, 957, 9779, 25557, 37027, 38987}},
+{8320, 17, 22164, {1, 1, 5, 1, 21, 5, 79, 67, 481, 455, 37, 1321, 7723, 1413, 7919, 11035, 5739}},
+{8321, 17, 22173, {1, 1, 1, 15, 9, 55, 111, 1, 383, 439, 1037, 4055, 4243, 10443, 26737, 21039, 130847}},
+{8322, 17, 22197, {1, 1, 7, 9, 13, 25, 71, 137, 307, 717, 1009, 2477, 3861, 14145, 14549, 59589, 93401}},
+{8323, 17, 22207, {1, 1, 7, 5, 29, 63, 77, 49, 471, 267, 1457, 1743, 1915, 14793, 17899, 28011, 92183}},
+{8324, 17, 22210, {1, 3, 7, 7, 7, 41, 47, 251, 75, 749, 1915, 1015, 5869, 3211, 24097, 14349, 130571}},
+{8325, 17, 22216, {1, 1, 1, 1, 31, 63, 105, 83, 345, 147, 975, 135, 7299, 15801, 19311, 26143, 80293}},
+{8326, 17, 22234, {1, 1, 3, 1, 7, 1, 47, 45, 251, 635, 583, 3515, 5233, 6281, 7797, 37949, 75877}},
+{8327, 17, 22257, {1, 1, 3, 3, 5, 53, 99, 175, 155, 327, 1841, 211, 2811, 16099, 17255, 34253, 124141}},
+{8328, 17, 22264, {1, 3, 1, 3, 13, 27, 81, 217, 115, 245, 101, 1641, 29, 1441, 4829, 28399, 102303}},
+{8329, 17, 22278, {1, 3, 1, 5, 11, 55, 31, 91, 337, 203, 987, 977, 4929, 14933, 25149, 20493, 19783}},
+{8330, 17, 22284, {1, 1, 5, 9, 9, 37, 103, 211, 349, 165, 1421, 3015, 5133, 4615, 28173, 45787, 10711}},
+{8331, 17, 22287, {1, 1, 1, 1, 1, 17, 29, 117, 421, 651, 1617, 1677, 7841, 16303, 8843, 1321, 90701}},
+{8332, 17, 22299, {1, 1, 1, 15, 27, 23, 49, 195, 139, 319, 1277, 901, 63, 14677, 21815, 19497, 24883}},
+{8333, 17, 22301, {1, 3, 3, 13, 1, 23, 17, 189, 293, 765, 1503, 1485, 7427, 11807, 17629, 61739, 111365}},
+{8334, 17, 22308, {1, 1, 5, 5, 15, 41, 25, 53, 221, 449, 1597, 2763, 4119, 6319, 17509, 23493, 104707}},
+{8335, 17, 22337, {1, 3, 7, 11, 29, 21, 101, 197, 161, 457, 331, 3817, 5139, 14307, 23225, 55567, 62535}},
+{8336, 17, 22349, {1, 1, 7, 5, 9, 57, 39, 101, 5, 847, 1311, 313, 2877, 14811, 21969, 31741, 8075}},
+{8337, 17, 22350, {1, 3, 5, 3, 1, 11, 45, 163, 251, 775, 1031, 1957, 1631, 1691, 3191, 6255, 13037}},
+{8338, 17, 22357, {1, 1, 3, 13, 7, 11, 95, 97, 409, 835, 707, 1579, 2409, 9451, 15069, 62425, 106499}},
+{8339, 17, 22364, {1, 3, 3, 11, 5, 25, 23, 207, 429, 299, 537, 1467, 6309, 891, 15009, 56733, 60397}},
+{8340, 17, 22373, {1, 3, 5, 3, 29, 47, 95, 115, 207, 177, 543, 427, 145, 11169, 7441, 10911, 87413}},
+{8341, 17, 22377, {1, 3, 7, 11, 25, 53, 15, 225, 115, 295, 919, 39, 513, 9989, 11045, 24015, 102387}},
+{8342, 17, 22380, {1, 1, 7, 15, 13, 31, 103, 143, 357, 825, 183, 137, 2671, 9803, 14777, 48333, 79483}},
+{8343, 17, 22386, {1, 3, 5, 1, 25, 13, 65, 9, 461, 307, 1289, 1035, 7253, 14223, 16829, 23361, 84987}},
+{8344, 17, 22391, {1, 3, 5, 7, 5, 57, 47, 251, 5, 9, 965, 2883, 3105, 13931, 807, 31977, 119035}},
+{8345, 17, 22392, {1, 1, 3, 5, 3, 7, 55, 165, 3, 787, 1587, 989, 6049, 14021, 30789, 15283, 92851}},
+{8346, 17, 22411, {1, 1, 5, 5, 3, 17, 11, 167, 487, 885, 193, 3485, 8179, 9485, 24913, 40267, 70625}},
+{8347, 17, 22422, {1, 1, 7, 1, 27, 31, 9, 139, 73, 137, 783, 321, 691, 6157, 19905, 45525, 84877}},
+{8348, 17, 22425, {1, 3, 1, 9, 17, 39, 127, 177, 301, 579, 1065, 3899, 281, 9177, 16295, 51217, 120293}},
+{8349, 17, 22431, {1, 1, 7, 9, 31, 59, 17, 93, 247, 779, 847, 1183, 3453, 1073, 18597, 2655, 121633}},
+{8350, 17, 22438, {1, 1, 7, 1, 25, 43, 47, 253, 23, 999, 973, 1201, 1061, 5947, 5619, 36311, 1545}},
+{8351, 17, 22441, {1, 3, 5, 7, 11, 5, 103, 119, 229, 657, 1993, 1991, 1597, 13165, 19137, 7161, 83487}},
+{8352, 17, 22442, {1, 1, 1, 1, 11, 23, 105, 183, 467, 83, 899, 2447, 4949, 4171, 28943, 4829, 13033}},
+{8353, 17, 22449, {1, 3, 1, 7, 15, 7, 47, 215, 253, 109, 1975, 3337, 1553, 13575, 16835, 61525, 26423}},
+{8354, 17, 22452, {1, 1, 7, 1, 21, 17, 53, 79, 175, 267, 999, 249, 6177, 10453, 12475, 59801, 47351}},
+{8355, 17, 22461, {1, 3, 5, 11, 3, 57, 5, 193, 421, 799, 1833, 2635, 6537, 4669, 9597, 40661, 12113}},
+{8356, 17, 22467, {1, 1, 7, 11, 9, 11, 69, 103, 139, 167, 159, 2469, 703, 1519, 21553, 62875, 60449}},
+{8357, 17, 22479, {1, 1, 5, 3, 9, 11, 17, 183, 499, 301, 1275, 605, 7655, 12141, 7783, 39413, 116263}},
+{8358, 17, 22484, {1, 1, 1, 7, 31, 55, 23, 79, 49, 247, 761, 3573, 8187, 4879, 27379, 15725, 81415}},
+{8359, 17, 22487, {1, 3, 5, 5, 5, 49, 23, 205, 509, 383, 1165, 3839, 7663, 1539, 19967, 55901, 4351}},
+{8360, 17, 22493, {1, 1, 1, 11, 7, 15, 3, 159, 235, 735, 391, 2231, 5043, 9759, 4569, 35601, 71989}},
+{8361, 17, 22510, {1, 3, 3, 15, 23, 3, 49, 97, 99, 517, 1097, 3517, 1035, 2319, 27705, 25547, 101555}},
+{8362, 17, 22521, {1, 3, 7, 11, 27, 29, 33, 241, 205, 113, 291, 1993, 3277, 13155, 1039, 42367, 130477}},
+{8363, 17, 22533, {1, 1, 1, 3, 29, 19, 15, 159, 35, 153, 1177, 3011, 6271, 8203, 8971, 19183, 102871}},
+{8364, 17, 22534, {1, 1, 1, 5, 5, 51, 19, 175, 209, 895, 229, 2355, 499, 7877, 4935, 22737, 35587}},
+{8365, 17, 22543, {1, 3, 7, 11, 15, 9, 7, 113, 41, 835, 1593, 3933, 7165, 10959, 15487, 30019, 114505}},
+{8366, 17, 22548, {1, 1, 7, 5, 31, 21, 27, 11, 421, 165, 1605, 1859, 29, 13051, 3273, 3893, 56089}},
+{8367, 17, 22552, {1, 3, 5, 5, 17, 51, 55, 187, 401, 977, 95, 2617, 727, 9609, 5075, 48989, 120299}},
+{8368, 17, 22558, {1, 1, 5, 7, 21, 31, 127, 87, 379, 125, 247, 3607, 2555, 11873, 32535, 16677, 122273}},
+{8369, 17, 22561, {1, 1, 1, 5, 19, 21, 51, 185, 203, 145, 1073, 167, 235, 12753, 17315, 14683, 44101}},
+{8370, 17, 22562, {1, 3, 3, 1, 5, 61, 71, 17, 63, 151, 823, 17, 5315, 4861, 17279, 23049, 84971}},
+{8371, 17, 22568, {1, 3, 3, 5, 21, 63, 21, 235, 295, 467, 1661, 2487, 335, 6107, 28709, 55875, 129085}},
+{8372, 17, 22571, {1, 3, 3, 5, 1, 55, 35, 187, 5, 687, 1633, 2999, 4513, 10105, 15249, 22591, 102857}},
+{8373, 17, 22574, {1, 3, 1, 5, 19, 1, 113, 27, 261, 623, 831, 3011, 4091, 11967, 17191, 17433, 99925}},
+{8374, 17, 22581, {1, 3, 5, 5, 25, 59, 81, 249, 463, 523, 183, 3049, 3675, 2705, 28379, 1279, 25579}},
+{8375, 17, 22594, {1, 1, 3, 9, 19, 19, 71, 127, 189, 613, 647, 1449, 7755, 1415, 9067, 30683, 79703}},
+{8376, 17, 22603, {1, 1, 7, 1, 27, 33, 61, 135, 233, 633, 1969, 2245, 5841, 14069, 6497, 63617, 101483}},
+{8377, 17, 22605, {1, 3, 3, 9, 23, 3, 17, 163, 309, 741, 2023, 2647, 5847, 7871, 22311, 38377, 70663}},
+{8378, 17, 22606, {1, 3, 5, 15, 31, 33, 51, 243, 209, 273, 1305, 1599, 6115, 6249, 8639, 5903, 17215}},
+{8379, 17, 22623, {1, 1, 1, 1, 21, 11, 107, 185, 463, 435, 149, 3789, 6283, 1327, 20893, 10417, 78673}},
+{8380, 17, 22630, {1, 1, 1, 13, 5, 53, 121, 129, 493, 419, 1711, 2765, 7673, 8979, 25845, 62759, 9669}},
+{8381, 17, 22651, {1, 3, 5, 5, 1, 39, 123, 47, 449, 639, 625, 2355, 511, 1685, 1415, 32417, 76529}},
+{8382, 17, 22657, {1, 3, 1, 11, 1, 49, 67, 237, 203, 967, 1401, 2773, 4951, 13889, 14147, 41031, 71897}},
+{8383, 17, 22669, {1, 3, 5, 11, 13, 49, 17, 113, 315, 207, 1057, 3395, 6151, 2767, 16571, 1811, 66403}},
+{8384, 17, 22670, {1, 1, 7, 7, 29, 63, 49, 115, 327, 987, 1853, 3355, 8139, 2703, 30039, 51343, 86999}},
+{8385, 17, 22677, {1, 1, 3, 9, 1, 3, 45, 35, 509, 483, 159, 1795, 8023, 6989, 3755, 20887, 13587}},
+{8386, 17, 22682, {1, 1, 3, 7, 1, 27, 39, 159, 283, 843, 317, 3229, 2297, 15031, 22039, 21721, 70583}},
+{8387, 17, 22698, {1, 1, 3, 11, 9, 23, 1, 35, 79, 77, 1671, 2583, 647, 12313, 16271, 2959, 108389}},
+{8388, 17, 22712, {1, 1, 1, 7, 5, 55, 1, 233, 429, 231, 833, 1279, 7815, 1051, 30627, 4435, 25997}},
+{8389, 17, 22715, {1, 3, 1, 15, 19, 53, 9, 165, 307, 437, 551, 2477, 1841, 11799, 18477, 5871, 20065}},
+{8390, 17, 22729, {1, 1, 1, 1, 21, 5, 65, 41, 77, 909, 93, 751, 2973, 7341, 30427, 60075, 71457}},
+{8391, 17, 22732, {1, 1, 3, 11, 25, 51, 49, 63, 165, 263, 1915, 747, 8053, 6361, 4843, 20189, 110147}},
+{8392, 17, 22735, {1, 3, 1, 9, 29, 9, 45, 177, 415, 557, 1555, 2967, 1239, 8115, 12853, 19193, 73681}},
+{8393, 17, 22738, {1, 1, 5, 5, 11, 5, 51, 157, 325, 517, 1601, 3911, 1487, 13631, 7483, 61515, 48937}},
+{8394, 17, 22740, {1, 3, 7, 5, 29, 31, 107, 47, 437, 837, 1791, 477, 1717, 7, 25855, 48793, 16385}},
+{8395, 17, 22750, {1, 1, 1, 3, 29, 49, 31, 255, 233, 935, 1993, 125, 2255, 12785, 2807, 54697, 62591}},
+{8396, 17, 22753, {1, 3, 1, 7, 15, 13, 9, 245, 79, 289, 841, 253, 5259, 16123, 29189, 63837, 127915}},
+{8397, 17, 22760, {1, 3, 7, 15, 15, 55, 91, 103, 445, 289, 1471, 423, 3387, 15609, 19311, 28993, 23473}},
+{8398, 17, 22765, {1, 1, 3, 11, 31, 39, 69, 125, 115, 309, 397, 3417, 5693, 10301, 1489, 25955, 2699}},
+{8399, 17, 22768, {1, 3, 3, 5, 13, 21, 51, 207, 239, 311, 1601, 2925, 6285, 9597, 30579, 62957, 6153}},
+{8400, 17, 22778, {1, 1, 7, 1, 27, 21, 63, 143, 399, 971, 1385, 1875, 5143, 6423, 6223, 27009, 14237}},
+{8401, 17, 22785, {1, 3, 5, 1, 5, 59, 125, 133, 151, 997, 1315, 3007, 8173, 16289, 13409, 839, 103519}},
+{8402, 17, 22809, {1, 1, 1, 13, 7, 57, 83, 33, 191, 121, 939, 3927, 6089, 10083, 5903, 52229, 78325}},
+{8403, 17, 22810, {1, 1, 3, 5, 9, 61, 43, 107, 279, 135, 1109, 3779, 5305, 15333, 12217, 41257, 20265}},
+{8404, 17, 22812, {1, 3, 7, 1, 31, 59, 83, 43, 219, 119, 511, 2973, 4587, 10701, 30959, 21489, 124077}},
+{8405, 17, 22828, {1, 1, 7, 9, 17, 3, 59, 151, 281, 209, 1405, 173, 3589, 7679, 29803, 53947, 68291}},
+{8406, 17, 22840, {1, 1, 7, 7, 5, 19, 53, 91, 1, 513, 1495, 231, 3627, 1115, 16121, 12953, 108343}},
+{8407, 17, 22845, {1, 3, 1, 13, 17, 3, 35, 35, 211, 481, 2029, 1035, 3131, 5653, 18097, 10735, 102453}},
+{8408, 17, 22848, {1, 3, 1, 11, 29, 7, 121, 135, 51, 837, 681, 1497, 7435, 2215, 26527, 33029, 93241}},
+{8409, 17, 22857, {1, 3, 3, 15, 29, 43, 17, 243, 195, 315, 499, 3801, 5691, 12119, 4061, 51769, 80497}},
+{8410, 17, 22877, {1, 1, 3, 1, 11, 1, 113, 11, 387, 579, 275, 2995, 895, 11859, 4017, 1543, 11853}},
+{8411, 17, 22882, {1, 1, 7, 9, 31, 27, 63, 217, 97, 275, 435, 1355, 5205, 6587, 32589, 46485, 103587}},
+{8412, 17, 22887, {1, 3, 7, 3, 7, 19, 51, 41, 81, 261, 1909, 1475, 425, 3173, 5679, 34701, 34977}},
+{8413, 17, 22894, {1, 1, 7, 3, 27, 15, 35, 49, 387, 471, 1997, 3643, 2701, 11853, 21311, 36027, 104357}},
+{8414, 17, 22912, {1, 3, 1, 9, 5, 47, 73, 163, 309, 891, 229, 2433, 6715, 6721, 25233, 37043, 29367}},
+{8415, 17, 22930, {1, 1, 1, 7, 27, 15, 9, 185, 421, 597, 565, 143, 1531, 15585, 17057, 54309, 82915}},
+{8416, 17, 22936, {1, 1, 7, 1, 5, 43, 87, 61, 121, 341, 25, 3795, 7161, 11985, 32197, 789, 69543}},
+{8417, 17, 22939, {1, 3, 5, 13, 29, 39, 81, 39, 263, 729, 1833, 365, 1073, 9869, 1845, 52621, 5}},
+{8418, 17, 22957, {1, 1, 7, 7, 5, 33, 117, 11, 371, 161, 1303, 629, 2285, 5827, 32355, 43359, 115595}},
+{8419, 17, 22970, {1, 3, 5, 5, 13, 57, 63, 9, 243, 533, 173, 2197, 717, 13441, 22131, 17783, 3319}},
+{8420, 17, 22980, {1, 1, 7, 11, 15, 31, 87, 255, 183, 273, 805, 2347, 5881, 15401, 273, 17397, 41827}},
+{8421, 17, 22984, {1, 3, 1, 13, 7, 17, 121, 49, 47, 121, 333, 3629, 5337, 4117, 2735, 36581, 61345}},
+{8422, 17, 22992, {1, 3, 3, 11, 9, 7, 25, 223, 379, 119, 385, 1217, 4803, 2947, 30665, 7733, 77893}},
+{8423, 17, 22998, {1, 3, 3, 7, 31, 35, 127, 97, 5, 373, 7, 3035, 843, 5991, 9265, 34289, 42785}},
+{8424, 17, 23001, {1, 3, 7, 3, 27, 19, 95, 253, 349, 871, 807, 413, 5847, 10467, 4277, 12429, 75773}},
+{8425, 17, 23044, {1, 3, 3, 7, 21, 1, 79, 89, 219, 505, 41, 505, 5159, 12839, 3317, 49873, 73705}},
+{8426, 17, 23061, {1, 3, 1, 7, 21, 43, 121, 113, 477, 559, 1831, 3759, 3315, 6367, 7149, 16395, 44703}},
+{8427, 17, 23062, {1, 1, 1, 7, 13, 53, 35, 53, 489, 975, 631, 863, 3067, 1905, 21351, 14705, 80041}},
+{8428, 17, 23071, {1, 1, 1, 5, 13, 27, 121, 65, 351, 123, 1731, 367, 8061, 5229, 8537, 20897, 130373}},
+{8429, 17, 23075, {1, 1, 5, 11, 15, 63, 101, 107, 105, 619, 1771, 3549, 7191, 9083, 16827, 29639, 34219}},
+{8430, 17, 23089, {1, 3, 1, 9, 15, 13, 87, 157, 379, 433, 217, 815, 5079, 1797, 26707, 35165, 92305}},
+{8431, 17, 23090, {1, 1, 5, 13, 27, 35, 31, 65, 313, 629, 375, 1391, 5373, 3497, 7311, 23105, 45293}},
+{8432, 17, 23096, {1, 3, 1, 3, 5, 39, 91, 37, 401, 419, 949, 2431, 3685, 6671, 20789, 8597, 44215}},
+{8433, 17, 23101, {1, 1, 7, 11, 7, 15, 3, 181, 363, 913, 309, 2009, 3805, 6651, 27677, 37711, 40813}},
+{8434, 17, 23114, {1, 3, 5, 5, 17, 11, 47, 9, 27, 459, 773, 1403, 7069, 12651, 8163, 42425, 126697}},
+{8435, 17, 23121, {1, 3, 1, 3, 11, 21, 65, 103, 405, 843, 59, 3653, 1759, 5265, 401, 58019, 124999}},
+{8436, 17, 23124, {1, 1, 3, 7, 11, 25, 61, 211, 199, 849, 1835, 1181, 5003, 3873, 23743, 45451, 54901}},
+{8437, 17, 23127, {1, 3, 5, 3, 29, 25, 43, 199, 481, 991, 699, 3937, 7601, 1253, 24399, 6625, 93917}},
+{8438, 17, 23128, {1, 1, 7, 3, 29, 33, 33, 151, 3, 825, 743, 773, 7825, 8157, 22121, 50095, 16435}},
+{8439, 17, 23137, {1, 3, 1, 1, 27, 15, 81, 151, 271, 167, 1755, 1289, 7473, 8525, 12525, 63139, 48787}},
+{8440, 17, 23138, {1, 1, 7, 13, 27, 33, 87, 125, 211, 631, 149, 3451, 643, 6975, 2659, 12629, 33187}},
+{8441, 17, 23150, {1, 1, 3, 3, 5, 49, 99, 99, 85, 647, 351, 2829, 7005, 7283, 5857, 46157, 52061}},
+{8442, 17, 23155, {1, 1, 3, 5, 11, 37, 43, 129, 21, 639, 187, 2279, 8189, 12877, 28707, 7133, 93639}},
+{8443, 17, 23168, {1, 1, 3, 7, 19, 13, 35, 51, 77, 811, 1553, 2769, 763, 4965, 4643, 37639, 44229}},
+{8444, 17, 23173, {1, 3, 5, 15, 11, 29, 103, 203, 435, 1017, 531, 1453, 1407, 6569, 619, 52103, 45213}},
+{8445, 17, 23174, {1, 1, 7, 5, 25, 25, 47, 229, 201, 843, 473, 2637, 2265, 4627, 20013, 41217, 76095}},
+{8446, 17, 23195, {1, 3, 3, 15, 23, 61, 109, 31, 57, 595, 1303, 3915, 67, 8205, 3553, 9543, 103385}},
+{8447, 17, 23202, {1, 1, 3, 3, 21, 19, 21, 41, 137, 905, 2045, 491, 1783, 151, 20963, 38009, 735}},
+{8448, 17, 23225, {1, 1, 7, 11, 13, 33, 95, 251, 179, 211, 1687, 3189, 6213, 3905, 2117, 15153, 4855}},
+{8449, 17, 23226, {1, 1, 5, 3, 19, 9, 67, 243, 23, 611, 1007, 1317, 7303, 11065, 21157, 56677, 81683}},
+{8450, 17, 23239, {1, 1, 3, 5, 19, 41, 63, 129, 233, 15, 37, 1445, 1095, 11309, 30181, 49199, 85113}},
+{8451, 17, 23253, {1, 3, 7, 1, 21, 53, 83, 79, 155, 379, 773, 1823, 1003, 2787, 31107, 36115, 40987}},
+{8452, 17, 23263, {1, 3, 3, 5, 3, 19, 7, 247, 417, 573, 407, 3577, 6079, 10275, 29791, 35149, 102565}},
+{8453, 17, 23264, {1, 3, 3, 9, 21, 49, 57, 223, 125, 671, 655, 2995, 5849, 5355, 21171, 54857, 114841}},
+{8454, 17, 23281, {1, 3, 7, 3, 27, 23, 125, 103, 485, 955, 963, 1865, 2321, 2263, 32497, 47973, 122111}},
+{8455, 17, 23282, {1, 1, 3, 15, 3, 1, 37, 19, 287, 165, 1717, 851, 3619, 13623, 24295, 48253, 13143}},
+{8456, 17, 23288, {1, 1, 7, 9, 13, 59, 69, 97, 113, 163, 871, 1795, 2719, 13675, 11767, 23687, 65841}},
+{8457, 17, 23294, {1, 1, 5, 3, 21, 31, 41, 115, 469, 177, 137, 2129, 1385, 10835, 16471, 59411, 30795}},
+{8458, 17, 23302, {1, 1, 7, 7, 13, 45, 73, 119, 457, 673, 1481, 3735, 2675, 11413, 9069, 34741, 8757}},
+{8459, 17, 23311, {1, 3, 5, 3, 15, 9, 11, 191, 499, 51, 1963, 3957, 1341, 7129, 13491, 65369, 4339}},
+{8460, 17, 23320, {1, 3, 7, 1, 5, 45, 103, 209, 183, 205, 525, 2417, 847, 10801, 10699, 16723, 36421}},
+{8461, 17, 23325, {1, 3, 7, 13, 3, 57, 37, 75, 299, 359, 2017, 125, 6737, 4859, 18443, 20765, 40319}},
+{8462, 17, 23356, {1, 1, 3, 5, 5, 17, 43, 141, 31, 141, 1019, 1685, 6831, 9433, 31245, 29227, 64083}},
+{8463, 17, 23374, {1, 3, 1, 13, 25, 47, 107, 69, 459, 595, 1759, 3391, 1531, 15197, 25975, 16971, 70861}},
+{8464, 17, 23388, {1, 1, 3, 11, 3, 53, 63, 211, 69, 469, 1407, 1435, 2763, 917, 19943, 16591, 97101}},
+{8465, 17, 23402, {1, 3, 5, 13, 25, 41, 39, 61, 319, 809, 1109, 169, 3101, 8801, 21697, 50759, 130985}},
+{8466, 17, 23415, {1, 3, 1, 9, 23, 1, 11, 249, 243, 605, 1419, 269, 1601, 2063, 5365, 38077, 106161}},
+{8467, 17, 23421, {1, 1, 7, 7, 19, 55, 97, 155, 477, 845, 61, 263, 1337, 8857, 31611, 44417, 43111}},
+{8468, 17, 23426, {1, 3, 3, 15, 7, 63, 45, 239, 291, 279, 1875, 3769, 1571, 15857, 13335, 17209, 34399}},
+{8469, 17, 23443, {1, 1, 7, 11, 19, 19, 69, 111, 217, 927, 1643, 1077, 4763, 15893, 17491, 39737, 10705}},
+{8470, 17, 23446, {1, 1, 5, 11, 3, 3, 31, 199, 109, 403, 973, 3833, 2729, 7285, 26743, 53915, 96203}},
+{8471, 17, 23455, {1, 3, 3, 11, 9, 7, 19, 145, 495, 805, 381, 919, 1323, 4343, 15887, 5163, 68267}},
+{8472, 17, 23461, {1, 1, 3, 11, 15, 31, 27, 201, 251, 279, 1377, 1313, 7143, 9731, 10451, 63431, 31307}},
+{8473, 17, 23468, {1, 1, 7, 1, 1, 55, 35, 249, 133, 645, 425, 279, 6401, 11687, 751, 947, 21791}},
+{8474, 17, 23471, {1, 3, 5, 9, 5, 43, 89, 31, 419, 573, 1087, 2197, 3451, 2393, 6569, 4859, 36607}},
+{8475, 17, 23485, {1, 3, 5, 15, 25, 51, 11, 149, 483, 789, 661, 967, 3537, 15511, 26587, 29861, 120337}},
+{8476, 17, 23486, {1, 3, 5, 13, 21, 39, 75, 111, 57, 321, 1591, 381, 7399, 10807, 26651, 62489, 78341}},
+{8477, 17, 23488, {1, 3, 1, 13, 1, 1, 49, 137, 193, 967, 805, 221, 803, 11381, 27803, 51013, 10475}},
+{8478, 17, 23498, {1, 3, 7, 5, 3, 13, 47, 195, 123, 753, 397, 1203, 981, 12863, 20845, 36155, 19055}},
+{8479, 17, 23500, {1, 1, 1, 9, 9, 11, 53, 203, 3, 163, 1537, 2061, 941, 12629, 16053, 34881, 31489}},
+{8480, 17, 23515, {1, 1, 1, 15, 5, 23, 51, 197, 459, 21, 1989, 2529, 4267, 1505, 8951, 15777, 20493}},
+{8481, 17, 23521, {1, 1, 7, 3, 31, 55, 9, 55, 217, 695, 1563, 4077, 3207, 7029, 10881, 39581, 82511}},
+{8482, 17, 23527, {1, 3, 1, 5, 1, 11, 81, 1, 505, 631, 1093, 3655, 2085, 7349, 5009, 49381, 30527}},
+{8483, 17, 23534, {1, 1, 7, 1, 27, 51, 25, 235, 213, 59, 611, 3883, 2909, 6411, 19605, 49001, 114529}},
+{8484, 17, 23546, {1, 3, 5, 3, 25, 29, 19, 137, 199, 681, 1625, 2711, 4873, 14677, 9767, 30441, 54673}},
+{8485, 17, 23559, {1, 1, 1, 9, 27, 43, 109, 161, 139, 675, 741, 2839, 1425, 5701, 19897, 12787, 33069}},
+{8486, 17, 23560, {1, 3, 5, 11, 21, 19, 77, 107, 197, 591, 1899, 1311, 3347, 6369, 26891, 3771, 32455}},
+{8487, 17, 23566, {1, 1, 7, 15, 31, 13, 109, 69, 207, 349, 249, 971, 7891, 10919, 31579, 38453, 124601}},
+{8488, 17, 23584, {1, 3, 5, 5, 27, 61, 67, 193, 53, 259, 1729, 4033, 2637, 8217, 22351, 4001, 118527}},
+{8489, 17, 23587, {1, 1, 3, 5, 9, 45, 55, 73, 189, 131, 1947, 1889, 837, 4085, 10393, 64359, 1037}},
+{8490, 17, 23594, {1, 3, 7, 3, 13, 51, 55, 37, 335, 939, 35, 461, 5057, 2595, 3305, 58823, 3941}},
+{8491, 17, 23602, {1, 1, 7, 11, 7, 3, 121, 139, 241, 477, 615, 2707, 5391, 7611, 11563, 41083, 16719}},
+{8492, 17, 23607, {1, 3, 3, 15, 27, 55, 13, 221, 195, 543, 215, 4035, 1647, 8111, 26425, 43571, 79893}},
+{8493, 17, 23616, {1, 1, 1, 5, 31, 5, 35, 145, 481, 339, 1951, 2155, 1309, 9851, 31505, 37371, 21247}},
+{8494, 17, 23621, {1, 1, 7, 9, 7, 5, 73, 119, 3, 741, 1351, 2855, 2207, 1465, 12047, 13507, 129173}},
+{8495, 17, 23631, {1, 1, 7, 13, 5, 57, 119, 63, 367, 327, 1257, 3191, 6929, 9593, 16565, 54397, 100305}},
+{8496, 17, 23634, {1, 3, 1, 11, 9, 1, 85, 53, 65, 945, 17, 1963, 4819, 16173, 11669, 53579, 33701}},
+{8497, 17, 23636, {1, 1, 3, 15, 25, 27, 3, 25, 23, 429, 197, 2717, 6107, 6719, 12457, 31793, 78647}},
+{8498, 17, 23649, {1, 1, 3, 1, 7, 63, 111, 235, 299, 91, 369, 1423, 7083, 4229, 18535, 33793, 19943}},
+{8499, 17, 23652, {1, 1, 7, 13, 9, 11, 123, 9, 169, 895, 1989, 1047, 6139, 11773, 19381, 9593, 14809}},
+{8500, 17, 23679, {1, 3, 1, 3, 29, 31, 63, 91, 59, 391, 1695, 2459, 3301, 5615, 3425, 8029, 16069}},
+{8501, 17, 23686, {1, 1, 7, 1, 25, 25, 79, 49, 131, 695, 987, 2911, 1109, 8237, 18227, 37287, 22443}},
+{8502, 17, 23697, {1, 3, 3, 3, 25, 21, 33, 207, 187, 381, 129, 445, 2967, 5119, 18777, 14849, 97115}},
+{8503, 17, 23703, {1, 1, 7, 13, 19, 9, 93, 185, 391, 579, 1509, 3245, 3921, 9473, 4795, 6685, 49549}},
+{8504, 17, 23714, {1, 1, 5, 11, 1, 49, 57, 127, 363, 811, 1383, 2869, 7625, 15177, 2581, 64253, 53677}},
+{8505, 17, 23719, {1, 1, 7, 3, 7, 27, 73, 187, 31, 1011, 1013, 3269, 6625, 5001, 20805, 13331, 93725}},
+{8506, 17, 23723, {1, 3, 7, 1, 23, 61, 123, 9, 141, 113, 1009, 3713, 4947, 9929, 24125, 1101, 104249}},
+{8507, 17, 23726, {1, 3, 7, 3, 23, 17, 25, 187, 189, 875, 1435, 163, 4197, 6619, 29031, 23117, 45347}},
+{8508, 17, 23728, {1, 1, 5, 7, 11, 17, 9, 55, 117, 223, 417, 3993, 1843, 5817, 20435, 56705, 98337}},
+{8509, 17, 23733, {1, 1, 7, 3, 21, 59, 3, 77, 297, 61, 407, 1603, 3209, 1611, 30185, 50275, 56139}},
+{8510, 17, 23740, {1, 1, 1, 5, 31, 3, 101, 167, 367, 543, 339, 1885, 7855, 9989, 30969, 6735, 108123}},
+{8511, 17, 23751, {1, 1, 3, 9, 27, 63, 9, 79, 335, 351, 673, 3107, 3955, 1799, 16879, 57631, 109073}},
+{8512, 17, 23755, {1, 1, 1, 3, 27, 17, 107, 115, 155, 371, 379, 2837, 6213, 2663, 1101, 451, 69517}},
+{8513, 17, 23765, {1, 1, 3, 9, 13, 3, 55, 9, 449, 43, 1011, 3281, 5311, 223, 10715, 6639, 79949}},
+{8514, 17, 23766, {1, 3, 3, 11, 23, 9, 43, 185, 271, 1005, 1041, 2633, 377, 4247, 10417, 51903, 19239}},
+{8515, 17, 23769, {1, 3, 1, 9, 15, 39, 115, 233, 33, 425, 1979, 583, 1901, 8943, 1527, 56065, 50159}},
+{8516, 17, 23779, {1, 1, 3, 1, 13, 1, 105, 149, 13, 625, 671, 1811, 3701, 241, 27357, 25835, 127265}},
+{8517, 17, 23794, {1, 3, 1, 9, 11, 23, 107, 197, 21, 589, 1065, 2591, 1163, 15013, 8931, 6355, 87079}},
+{8518, 17, 23796, {1, 3, 5, 3, 17, 5, 121, 61, 99, 987, 2033, 2237, 2299, 14689, 19785, 9599, 101035}},
+{8519, 17, 23803, {1, 1, 1, 1, 17, 25, 5, 97, 55, 75, 1419, 2793, 7215, 3185, 7029, 23023, 89089}},
+{8520, 17, 23813, {1, 3, 3, 3, 11, 57, 103, 191, 405, 463, 1421, 253, 6069, 10905, 18193, 719, 17337}},
+{8521, 17, 23820, {1, 3, 5, 11, 23, 37, 39, 169, 295, 527, 1671, 3913, 6057, 689, 27719, 47245, 95895}},
+{8522, 17, 23841, {1, 3, 7, 5, 13, 9, 43, 189, 411, 155, 559, 3701, 1623, 2401, 10359, 22675, 41897}},
+{8523, 17, 23853, {1, 1, 1, 11, 17, 55, 47, 101, 357, 669, 857, 2745, 6425, 11839, 13095, 10757, 52383}},
+{8524, 17, 23861, {1, 1, 7, 5, 11, 13, 53, 151, 93, 455, 133, 3353, 1417, 7917, 12913, 2615, 34281}},
+{8525, 17, 23862, {1, 1, 3, 5, 29, 57, 43, 35, 203, 423, 311, 3133, 1757, 1291, 2019, 3115, 126939}},
+{8526, 17, 23873, {1, 1, 3, 11, 9, 43, 119, 95, 135, 351, 1865, 2821, 717, 6275, 19713, 42315, 97935}},
+{8527, 17, 23876, {1, 3, 7, 7, 31, 51, 7, 29, 405, 31, 1765, 3231, 1315, 1307, 26469, 62033, 35619}},
+{8528, 17, 23897, {1, 1, 5, 7, 5, 17, 49, 137, 501, 631, 1401, 2851, 6971, 14721, 4329, 26483, 120007}},
+{8529, 17, 23898, {1, 1, 5, 13, 21, 19, 95, 93, 125, 331, 1797, 1653, 1891, 11081, 30989, 24671, 95421}},
+{8530, 17, 23903, {1, 3, 3, 11, 13, 29, 61, 157, 165, 39, 661, 89, 637, 1397, 12561, 62399, 129107}},
+{8531, 17, 23904, {1, 3, 1, 15, 13, 19, 5, 115, 345, 903, 531, 4069, 6775, 7433, 569, 21779, 13271}},
+{8532, 17, 23910, {1, 3, 3, 9, 5, 53, 17, 115, 67, 939, 1907, 3979, 4311, 3573, 857, 34931, 112397}},
+{8533, 17, 23931, {1, 3, 7, 11, 9, 47, 83, 85, 277, 219, 1701, 3013, 3037, 3473, 3797, 40713, 118573}},
+{8534, 17, 23933, {1, 1, 3, 13, 25, 33, 117, 115, 179, 119, 487, 3213, 2873, 17, 20865, 20043, 64381}},
+{8535, 17, 23934, {1, 1, 1, 3, 1, 45, 73, 103, 75, 579, 981, 2449, 2141, 8697, 22995, 59693, 104461}},
+{8536, 17, 23943, {1, 3, 1, 1, 29, 9, 9, 201, 55, 389, 1069, 2057, 4149, 9217, 10753, 7889, 95849}},
+{8537, 17, 23952, {1, 3, 7, 9, 27, 39, 19, 223, 7, 253, 55, 503, 3339, 6049, 32603, 34807, 115403}},
+{8538, 17, 23955, {1, 1, 5, 3, 13, 21, 67, 87, 205, 309, 1371, 1579, 281, 16135, 28403, 25951, 24109}},
+{8539, 17, 23962, {1, 3, 1, 3, 17, 21, 49, 77, 393, 943, 1701, 2661, 5173, 12875, 2731, 40531, 19301}},
+{8540, 17, 23971, {1, 3, 1, 5, 23, 29, 61, 161, 373, 389, 1699, 359, 2513, 4717, 30397, 24395, 20881}},
+{8541, 17, 23978, {1, 3, 5, 5, 29, 3, 115, 251, 277, 487, 7, 3301, 7945, 14233, 20497, 62035, 21537}},
+{8542, 17, 23998, {1, 1, 1, 9, 7, 59, 23, 85, 367, 109, 1761, 4011, 6535, 8263, 2081, 63647, 69807}},
+{8543, 17, 24003, {1, 1, 7, 11, 21, 41, 29, 219, 271, 617, 929, 407, 2899, 14299, 7645, 44815, 58817}},
+{8544, 17, 24009, {1, 3, 5, 7, 11, 29, 119, 33, 261, 571, 2013, 3327, 2181, 12767, 93, 2437, 76533}},
+{8545, 17, 24017, {1, 1, 7, 13, 17, 39, 55, 203, 261, 917, 967, 3651, 7235, 13751, 14439, 7591, 96553}},
+{8546, 17, 24045, {1, 1, 1, 1, 11, 39, 19, 21, 125, 93, 1773, 1155, 6213, 7173, 9057, 6219, 4643}},
+{8547, 17, 24046, {1, 3, 1, 5, 1, 31, 55, 143, 425, 539, 61, 3377, 7647, 257, 15007, 24511, 8707}},
+{8548, 17, 24060, {1, 3, 3, 11, 27, 51, 103, 197, 427, 139, 181, 1169, 3123, 11803, 5285, 1321, 62267}},
+{8549, 17, 24064, {1, 3, 5, 9, 11, 3, 13, 149, 197, 37, 31, 927, 3313, 16149, 14209, 60177, 46525}},
+{8550, 17, 24076, {1, 1, 5, 13, 15, 29, 103, 49, 355, 797, 1253, 1833, 621, 3877, 9981, 49207, 91035}},
+{8551, 17, 24079, {1, 1, 3, 3, 13, 19, 27, 51, 151, 275, 35, 3755, 7511, 14197, 26141, 43765, 104327}},
+{8552, 17, 24087, {1, 3, 5, 15, 23, 47, 101, 213, 97, 957, 831, 1533, 7913, 15763, 29717, 60425, 38559}},
+{8553, 17, 24094, {1, 1, 7, 9, 29, 31, 49, 245, 361, 299, 151, 2969, 1487, 1761, 11697, 4043, 100909}},
+{8554, 17, 24100, {1, 1, 1, 3, 17, 49, 99, 159, 3, 525, 1527, 3435, 5113, 459, 13341, 54103, 85813}},
+{8555, 17, 24118, {1, 3, 1, 1, 5, 59, 35, 75, 107, 91, 1621, 3261, 619, 3271, 10813, 29857, 1547}},
+{8556, 17, 24121, {1, 1, 5, 9, 9, 33, 85, 245, 39, 879, 1621, 2587, 3825, 12939, 30113, 24611, 68491}},
+{8557, 17, 24132, {1, 3, 1, 3, 9, 39, 93, 241, 307, 237, 3, 1763, 7729, 9257, 31911, 32591, 77333}},
+{8558, 17, 24147, {1, 3, 1, 3, 27, 7, 51, 121, 317, 361, 1027, 95, 7035, 3097, 21007, 38311, 88287}},
+{8559, 17, 24165, {1, 3, 7, 3, 19, 3, 111, 115, 339, 793, 1571, 3101, 1911, 14929, 12841, 45871, 119905}},
+{8560, 17, 24172, {1, 1, 5, 7, 31, 61, 37, 143, 279, 941, 1215, 2411, 7617, 1657, 10189, 19139, 6307}},
+{8561, 17, 24177, {1, 1, 3, 9, 21, 35, 13, 157, 187, 79, 689, 1085, 37, 4549, 5901, 15321, 61627}},
+{8562, 17, 24184, {1, 3, 1, 13, 15, 39, 21, 231, 39, 327, 801, 2321, 587, 1877, 3489, 54467, 95773}},
+{8563, 17, 24187, {1, 1, 5, 7, 1, 9, 53, 1, 243, 365, 789, 3833, 317, 10697, 26567, 65187, 22507}},
+{8564, 17, 24213, {1, 3, 3, 7, 9, 41, 31, 135, 425, 939, 15, 2043, 6593, 7651, 25467, 62549, 35847}},
+{8565, 17, 24217, {1, 1, 1, 7, 15, 23, 19, 57, 421, 25, 1037, 3055, 6173, 12451, 485, 54567, 109561}},
+{8566, 17, 24223, {1, 3, 5, 1, 3, 29, 67, 233, 157, 677, 1711, 513, 4673, 2895, 1983, 31075, 1861}},
+{8567, 17, 24230, {1, 1, 1, 1, 7, 39, 115, 251, 275, 791, 15, 1685, 6835, 14685, 12607, 28213, 121475}},
+{8568, 17, 24234, {1, 1, 5, 5, 13, 11, 103, 93, 489, 709, 1339, 2407, 1663, 10195, 3135, 15531, 88427}},
+{8569, 17, 24241, {1, 1, 7, 7, 17, 1, 123, 143, 31, 721, 1739, 2273, 3785, 10261, 14741, 52573, 113677}},
+{8570, 17, 24248, {1, 3, 7, 3, 9, 21, 77, 13, 241, 429, 165, 3399, 7543, 2633, 21129, 13537, 84473}},
+{8571, 17, 24259, {1, 1, 1, 11, 21, 33, 125, 123, 189, 337, 163, 3727, 2101, 14113, 1719, 46017, 68601}},
+{8572, 17, 24262, {1, 1, 7, 9, 9, 53, 101, 111, 125, 605, 1419, 3901, 1769, 4585, 20063, 20857, 21901}},
+{8573, 17, 24271, {1, 3, 7, 11, 1, 19, 51, 7, 457, 119, 871, 3847, 57, 11437, 28763, 58831, 675}},
+{8574, 17, 24279, {1, 3, 1, 15, 25, 63, 69, 25, 405, 823, 1701, 2441, 7561, 8679, 31643, 29325, 25563}},
+{8575, 17, 24286, {1, 1, 3, 9, 15, 5, 89, 13, 73, 951, 959, 2693, 4565, 13095, 991, 12419, 8267}},
+{8576, 17, 24289, {1, 1, 7, 1, 15, 1, 119, 223, 213, 585, 1047, 2623, 4141, 2043, 1583, 59155, 5133}},
+{8577, 17, 24295, {1, 3, 3, 3, 17, 37, 81, 233, 87, 843, 1597, 1251, 4713, 10813, 24357, 48499, 84465}},
+{8578, 17, 24296, {1, 1, 1, 1, 11, 55, 125, 5, 255, 809, 543, 2351, 7079, 7801, 29247, 23937, 97405}},
+{8579, 17, 24299, {1, 3, 3, 5, 17, 55, 87, 245, 371, 679, 943, 655, 5857, 261, 28229, 22519, 35191}},
+{8580, 17, 24314, {1, 1, 7, 15, 9, 49, 25, 155, 13, 893, 1303, 2317, 2903, 15601, 1433, 20397, 70125}},
+{8581, 17, 24336, {1, 3, 5, 3, 11, 47, 99, 63, 253, 95, 1023, 397, 4307, 4771, 17027, 19833, 18269}},
+{8582, 17, 24342, {1, 3, 3, 7, 25, 17, 69, 119, 475, 575, 1637, 3785, 649, 11557, 22457, 38633, 96153}},
+{8583, 17, 24346, {1, 1, 1, 5, 31, 55, 85, 83, 307, 201, 1543, 727, 977, 15779, 21907, 31025, 38969}},
+{8584, 17, 24357, {1, 3, 5, 1, 7, 53, 107, 239, 341, 237, 1567, 2717, 3197, 12419, 23733, 42119, 86619}},
+{8585, 17, 24367, {1, 1, 5, 13, 3, 7, 105, 95, 201, 953, 781, 2043, 5263, 13427, 10303, 60027, 19297}},
+{8586, 17, 24370, {1, 1, 5, 15, 25, 51, 5, 77, 165, 297, 1281, 1635, 4139, 11569, 32325, 23135, 27013}},
+{8587, 17, 24372, {1, 1, 3, 9, 3, 59, 107, 137, 251, 715, 1477, 511, 5629, 12205, 7541, 62559, 4253}},
+{8588, 17, 24387, {1, 1, 7, 11, 31, 29, 7, 251, 119, 547, 1179, 3063, 1625, 8941, 30515, 13601, 72741}},
+{8589, 17, 24389, {1, 3, 7, 13, 27, 43, 31, 43, 465, 355, 1063, 2305, 1425, 11963, 27327, 53335, 127517}},
+{8590, 17, 24402, {1, 3, 1, 3, 21, 17, 53, 171, 269, 783, 349, 1879, 575, 13537, 16931, 61171, 23499}},
+{8591, 17, 24414, {1, 3, 5, 3, 11, 5, 121, 227, 237, 841, 431, 3209, 3241, 6071, 23465, 39533, 102391}},
+{8592, 17, 24420, {1, 3, 5, 11, 9, 1, 59, 143, 181, 869, 1859, 1543, 6419, 13305, 29075, 28051, 105799}},
+{8593, 17, 24435, {1, 1, 7, 13, 31, 1, 105, 169, 67, 693, 1667, 2181, 4127, 4605, 3701, 36467, 19631}},
+{8594, 17, 24437, {1, 1, 7, 5, 31, 15, 119, 161, 55, 549, 1195, 4051, 1923, 2497, 8289, 60393, 96181}},
+{8595, 17, 24442, {1, 1, 3, 3, 5, 43, 13, 123, 469, 603, 2047, 2347, 815, 3457, 7503, 25261, 71951}},
+{8596, 17, 24444, {1, 1, 7, 3, 13, 25, 85, 141, 497, 405, 957, 1407, 2075, 12445, 6675, 9993, 40429}},
+{8597, 17, 24447, {1, 1, 5, 13, 29, 43, 99, 113, 307, 1003, 859, 723, 7513, 12249, 12653, 57685, 89551}},
+{8598, 17, 24468, {1, 3, 7, 3, 11, 3, 9, 141, 501, 113, 69, 2285, 4525, 9049, 24765, 11585, 53787}},
+{8599, 17, 24475, {1, 1, 3, 1, 25, 41, 103, 159, 215, 871, 77, 1849, 609, 15877, 32515, 22931, 11933}},
+{8600, 17, 24484, {1, 1, 5, 11, 3, 27, 27, 111, 479, 861, 1041, 3777, 4443, 3095, 30379, 6293, 30823}},
+{8601, 17, 24493, {1, 3, 5, 5, 27, 45, 9, 25, 451, 845, 1153, 897, 325, 15679, 30151, 37695, 54593}},
+{8602, 17, 24494, {1, 3, 7, 1, 15, 47, 87, 135, 87, 567, 221, 3173, 769, 8173, 2957, 51287, 20961}},
+{8603, 17, 24496, {1, 3, 1, 9, 3, 33, 1, 71, 147, 983, 1485, 3531, 213, 2353, 28269, 49353, 88343}},
+{8604, 17, 24514, {1, 1, 3, 11, 11, 63, 109, 255, 35, 127, 1777, 791, 1379, 9539, 4915, 21593, 98901}},
+{8605, 17, 24519, {1, 1, 7, 5, 3, 47, 93, 219, 381, 963, 359, 2461, 7629, 2803, 17345, 54311, 79057}},
+{8606, 17, 24533, {1, 3, 5, 13, 13, 21, 1, 65, 455, 203, 29, 3717, 4495, 1285, 25289, 38597, 42431}},
+{8607, 17, 24538, {1, 1, 3, 3, 27, 57, 7, 171, 65, 469, 1921, 3855, 1637, 5517, 14907, 48239, 117573}},
+{8608, 17, 24559, {1, 3, 5, 1, 11, 35, 105, 251, 19, 219, 1191, 2177, 7885, 8399, 30527, 61415, 122215}},
+{8609, 17, 24568, {1, 3, 5, 5, 21, 25, 59, 193, 509, 147, 1805, 561, 3505, 9639, 14221, 31, 99261}},
+{8610, 17, 24573, {1, 1, 5, 13, 31, 23, 35, 143, 367, 385, 1335, 2497, 3573, 8113, 16661, 16147, 8763}},
+{8611, 17, 24577, {1, 1, 7, 13, 15, 27, 35, 15, 7, 539, 633, 1145, 2267, 11527, 20975, 16689, 58227}},
+{8612, 17, 24587, {1, 1, 1, 15, 9, 11, 51, 121, 381, 331, 1445, 187, 519, 15827, 27611, 32891, 113671}},
+{8613, 17, 24592, {1, 3, 1, 5, 19, 3, 77, 67, 107, 105, 1025, 3229, 6869, 5717, 4227, 28489, 59759}},
+{8614, 17, 24601, {1, 1, 5, 15, 25, 23, 7, 25, 103, 733, 525, 453, 6467, 2901, 7197, 33267, 68177}},
+{8615, 17, 24602, {1, 1, 5, 7, 27, 27, 41, 93, 449, 733, 571, 411, 1709, 9557, 549, 5925, 24123}},
+{8616, 17, 24608, {1, 1, 7, 5, 31, 57, 119, 227, 105, 533, 717, 3357, 2495, 6467, 7211, 38169, 44603}},
+{8617, 17, 24645, {1, 1, 5, 7, 29, 9, 125, 241, 471, 571, 1271, 2911, 8087, 5067, 31139, 39681, 28579}},
+{8618, 17, 24650, {1, 3, 5, 11, 25, 53, 109, 35, 183, 109, 1961, 1681, 7773, 6935, 28049, 37279, 96829}},
+{8619, 17, 24657, {1, 1, 1, 11, 1, 17, 47, 245, 231, 747, 1395, 1635, 5129, 3165, 627, 34463, 38967}},
+{8620, 17, 24664, {1, 3, 5, 1, 9, 41, 25, 215, 251, 525, 1399, 3405, 7399, 11041, 5599, 51167, 38697}},
+{8621, 17, 24670, {1, 3, 3, 13, 11, 15, 121, 95, 139, 611, 633, 3941, 2619, 15123, 28535, 64823, 17527}},
+{8622, 17, 24673, {1, 3, 7, 13, 21, 53, 65, 175, 81, 5, 699, 1525, 7397, 2465, 4479, 58225, 26387}},
+{8623, 17, 24676, {1, 1, 5, 7, 9, 31, 31, 149, 359, 613, 397, 153, 4861, 8195, 22969, 26003, 124423}},
+{8624, 17, 24680, {1, 3, 1, 13, 27, 17, 107, 27, 19, 13, 1481, 573, 7701, 6273, 30255, 16125, 11809}},
+{8625, 17, 24686, {1, 3, 1, 9, 15, 1, 45, 105, 287, 901, 667, 3197, 3493, 12259, 1511, 63361, 94257}},
+{8626, 17, 24700, {1, 3, 1, 3, 25, 53, 19, 87, 365, 585, 1569, 1731, 3747, 11985, 22673, 17767, 113779}},
+{8627, 17, 24704, {1, 3, 3, 9, 7, 21, 103, 201, 501, 149, 1939, 3111, 4739, 8389, 27127, 55889, 54487}},
+{8628, 17, 24714, {1, 3, 5, 7, 25, 53, 75, 57, 19, 505, 849, 2631, 6999, 11269, 24541, 17695, 97671}},
+{8629, 17, 24728, {1, 1, 7, 15, 5, 51, 123, 93, 445, 379, 1729, 2747, 5821, 10779, 29335, 57419, 109339}},
+{8630, 17, 24731, {1, 1, 7, 3, 7, 57, 117, 65, 297, 891, 487, 1535, 2361, 10457, 30759, 34571, 129949}},
+{8631, 17, 24733, {1, 3, 5, 5, 17, 51, 27, 103, 55, 925, 947, 1237, 1629, 12687, 14775, 49627, 100939}},
+{8632, 17, 24747, {1, 3, 3, 15, 1, 11, 75, 177, 399, 55, 1705, 1165, 7525, 8909, 13071, 60703, 11561}},
+{8633, 17, 24749, {1, 1, 1, 7, 13, 29, 23, 65, 279, 853, 637, 3947, 4099, 6465, 7061, 50417, 35015}},
+{8634, 17, 24750, {1, 1, 3, 3, 15, 11, 111, 169, 135, 279, 1941, 3035, 3027, 6813, 13363, 20387, 3257}},
+{8635, 17, 24764, {1, 3, 3, 11, 3, 5, 95, 181, 405, 313, 39, 1503, 2443, 3221, 17021, 23485, 43909}},
+{8636, 17, 24782, {1, 1, 1, 3, 17, 63, 27, 247, 441, 533, 449, 3845, 4021, 14269, 31477, 7013, 37473}},
+{8637, 17, 24784, {1, 1, 5, 13, 29, 39, 41, 95, 417, 21, 685, 609, 5787, 13145, 32677, 6121, 50919}},
+{8638, 17, 24793, {1, 1, 5, 3, 17, 5, 93, 143, 171, 681, 1143, 2875, 805, 15823, 29649, 63327, 12041}},
+{8639, 17, 24794, {1, 1, 1, 11, 3, 53, 123, 105, 59, 485, 1799, 2939, 657, 2485, 29563, 36221, 89095}},
+{8640, 17, 24810, {1, 1, 5, 5, 15, 13, 127, 87, 211, 579, 175, 793, 6895, 9051, 17681, 28831, 31783}},
+{8641, 17, 24817, {1, 3, 7, 5, 11, 37, 9, 219, 453, 697, 139, 335, 6411, 8495, 4203, 29065, 114837}},
+{8642, 17, 24820, {1, 1, 3, 5, 31, 25, 89, 215, 249, 271, 1731, 3133, 3947, 10227, 9679, 51303, 82833}},
+{8643, 17, 24823, {1, 3, 5, 1, 31, 15, 7, 131, 369, 757, 1963, 3223, 35, 13967, 31807, 5093, 113743}},
+{8644, 17, 24832, {1, 1, 7, 3, 15, 23, 21, 173, 295, 929, 1137, 3943, 1985, 13015, 8523, 59117, 127}},
+{8645, 17, 24855, {1, 3, 7, 1, 31, 1, 115, 229, 345, 859, 1757, 1835, 7491, 4545, 1483, 40149, 122321}},
+{8646, 17, 24859, {1, 1, 1, 3, 13, 5, 3, 133, 177, 47, 1515, 17, 5663, 3185, 2775, 31389, 37409}},
+{8647, 17, 24862, {1, 1, 3, 3, 31, 3, 43, 137, 185, 803, 709, 391, 3513, 8117, 32593, 46593, 61037}},
+{8648, 17, 24877, {1, 1, 1, 7, 29, 27, 13, 35, 61, 961, 777, 2725, 7379, 7053, 21781, 60285, 49221}},
+{8649, 17, 24890, {1, 3, 7, 15, 7, 7, 15, 123, 109, 97, 361, 791, 4773, 8111, 4319, 13981, 92505}},
+{8650, 17, 24900, {1, 1, 3, 11, 21, 33, 113, 221, 453, 981, 341, 4041, 5129, 5981, 11051, 17243, 19023}},
+{8651, 17, 24904, {1, 3, 1, 1, 19, 7, 75, 213, 467, 221, 1829, 1275, 5729, 6843, 23855, 44805, 89269}},
+{8652, 17, 24909, {1, 1, 3, 7, 5, 29, 39, 125, 147, 329, 1485, 2793, 2329, 14979, 18395, 37951, 58699}},
+{8653, 17, 24910, {1, 3, 1, 3, 11, 37, 117, 189, 103, 381, 39, 31, 5205, 5601, 17127, 49073, 121417}},
+{8654, 17, 24915, {1, 3, 3, 13, 23, 49, 57, 187, 441, 189, 349, 2559, 3313, 1321, 7731, 57309, 80195}},
+{8655, 17, 24922, {1, 3, 7, 1, 17, 9, 21, 15, 447, 333, 959, 3471, 5301, 8573, 9761, 23183, 57997}},
+{8656, 17, 24937, {1, 3, 1, 9, 19, 1, 101, 71, 325, 309, 85, 2097, 8003, 12249, 1887, 2097, 68375}},
+{8657, 17, 24945, {1, 1, 7, 7, 11, 39, 85, 241, 293, 205, 387, 1539, 6583, 1395, 8869, 48843, 49983}},
+{8658, 17, 24962, {1, 3, 7, 13, 11, 23, 83, 125, 55, 429, 169, 1893, 4657, 643, 3405, 9943, 128753}},
+{8659, 17, 24964, {1, 1, 3, 11, 19, 43, 13, 171, 495, 117, 437, 3697, 6723, 6199, 1859, 39637, 111499}},
+{8660, 17, 24991, {1, 1, 1, 5, 1, 31, 83, 199, 129, 941, 1637, 1997, 5011, 14957, 32427, 60797, 4989}},
+{8661, 17, 24992, {1, 3, 3, 3, 5, 61, 33, 225, 315, 157, 1709, 807, 7809, 11063, 319, 20901, 73599}},
+{8662, 17, 24995, {1, 1, 7, 3, 27, 3, 1, 173, 125, 769, 1203, 3357, 4899, 13115, 7081, 42459, 18525}},
+{8663, 17, 25001, {1, 1, 7, 9, 9, 27, 43, 115, 229, 867, 661, 1825, 2883, 4285, 22393, 65141, 24699}},
+{8664, 17, 25009, {1, 1, 3, 7, 5, 9, 93, 47, 33, 823, 309, 2977, 5791, 9177, 27645, 35683, 57455}},
+{8665, 17, 25019, {1, 1, 5, 7, 9, 53, 9, 77, 499, 1023, 917, 209, 7311, 249, 773, 18303, 41447}},
+{8666, 17, 25021, {1, 1, 3, 5, 7, 9, 33, 73, 325, 369, 1657, 2257, 2893, 13911, 10797, 21055, 103511}},
+{8667, 17, 25029, {1, 3, 1, 3, 21, 31, 125, 29, 149, 513, 979, 2271, 989, 9541, 4179, 13215, 71369}},
+{8668, 17, 25034, {1, 1, 7, 7, 19, 41, 39, 165, 59, 79, 137, 3479, 3389, 6635, 21467, 51073, 20765}},
+{8669, 17, 25036, {1, 3, 3, 5, 7, 13, 109, 53, 335, 627, 339, 3825, 287, 6077, 11319, 2377, 112693}},
+{8670, 17, 25039, {1, 3, 3, 1, 3, 57, 9, 47, 437, 717, 563, 1219, 6191, 9081, 21533, 2651, 17275}},
+{8671, 17, 25057, {1, 1, 1, 5, 21, 9, 109, 109, 339, 947, 1699, 1487, 6477, 12601, 12327, 39427, 80937}},
+{8672, 17, 25063, {1, 1, 7, 9, 1, 5, 55, 43, 95, 733, 1151, 3657, 2119, 11947, 21279, 21581, 22053}},
+{8673, 17, 25064, {1, 3, 5, 11, 7, 9, 97, 149, 55, 523, 1911, 1389, 5343, 5533, 15439, 65313, 73421}},
+{8674, 17, 25075, {1, 1, 3, 7, 19, 15, 119, 141, 57, 243, 423, 981, 1407, 12633, 20455, 53069, 98593}},
+{8675, 17, 25077, {1, 1, 3, 3, 15, 57, 71, 203, 15, 133, 601, 805, 2821, 11623, 147, 4333, 97681}},
+{8676, 17, 25084, {1, 1, 5, 7, 17, 61, 15, 251, 53, 699, 105, 1195, 3979, 41, 9077, 5145, 80057}},
+{8677, 17, 25088, {1, 1, 5, 15, 29, 33, 53, 19, 41, 471, 1143, 65, 5833, 8417, 17263, 35859, 45035}},
+{8678, 17, 25091, {1, 1, 1, 1, 15, 51, 73, 131, 181, 147, 1863, 3777, 1749, 10135, 11591, 12395, 85163}},
+{8679, 17, 25105, {1, 3, 1, 9, 23, 63, 83, 199, 87, 499, 2025, 863, 4665, 3941, 17647, 52463, 108615}},
+{8680, 17, 25134, {1, 3, 5, 7, 11, 39, 65, 161, 367, 593, 699, 1807, 7217, 5221, 22093, 44933, 6201}},
+{8681, 17, 25165, {1, 1, 7, 13, 9, 41, 35, 77, 353, 291, 1267, 3923, 5397, 15401, 30317, 14945, 8715}},
+{8682, 17, 25183, {1, 3, 1, 15, 11, 3, 29, 25, 505, 945, 1425, 2297, 1133, 4675, 8069, 55115, 114177}},
+{8683, 17, 25184, {1, 3, 1, 5, 27, 63, 25, 7, 5, 399, 473, 1325, 7391, 5953, 27755, 65407, 89435}},
+{8684, 17, 25202, {1, 3, 3, 13, 21, 61, 5, 119, 23, 999, 849, 1225, 3077, 821, 12059, 43223, 45427}},
+{8685, 17, 25204, {1, 3, 7, 13, 1, 5, 93, 173, 181, 453, 1449, 3823, 1713, 14737, 8891, 43643, 1983}},
+{8686, 17, 25211, {1, 1, 3, 3, 29, 53, 31, 163, 321, 539, 1283, 429, 3449, 15617, 4761, 21187, 120725}},
+{8687, 17, 25223, {1, 1, 1, 1, 13, 27, 49, 37, 33, 631, 375, 425, 2465, 8773, 2777, 2115, 35633}},
+{8688, 17, 25224, {1, 3, 5, 3, 25, 25, 27, 201, 63, 259, 1571, 1143, 2325, 6773, 11941, 28897, 19719}},
+{8689, 17, 25235, {1, 1, 3, 5, 11, 39, 59, 203, 37, 899, 559, 2599, 4397, 12159, 29579, 51251, 83213}},
+{8690, 17, 25241, {1, 1, 1, 7, 9, 19, 63, 169, 257, 921, 381, 3605, 3479, 1739, 26599, 20599, 29617}},
+{8691, 17, 25253, {1, 1, 1, 9, 7, 29, 123, 35, 419, 963, 855, 1903, 6199, 2727, 29811, 49279, 101673}},
+{8692, 17, 25258, {1, 3, 5, 11, 29, 23, 73, 13, 467, 935, 181, 3837, 8117, 11501, 18361, 26803, 99471}},
+{8693, 17, 25277, {1, 1, 1, 5, 31, 41, 109, 45, 115, 113, 1893, 727, 2453, 13463, 22339, 13495, 11473}},
+{8694, 17, 25278, {1, 1, 5, 9, 5, 31, 109, 145, 511, 243, 57, 2219, 1601, 1821, 12787, 48239, 89645}},
+{8695, 17, 25280, {1, 3, 1, 7, 19, 41, 25, 57, 45, 489, 1531, 3959, 2007, 14247, 13445, 1991, 114977}},
+{8696, 17, 25290, {1, 3, 7, 15, 7, 17, 107, 27, 249, 207, 183, 2483, 5817, 8927, 10715, 63631, 51947}},
+{8697, 17, 25295, {1, 3, 1, 3, 13, 21, 57, 113, 171, 885, 1335, 783, 7575, 4443, 19497, 13827, 130727}},
+{8698, 17, 25300, {1, 1, 5, 7, 19, 33, 95, 13, 387, 297, 1597, 767, 7543, 16063, 10367, 51683, 119811}},
+{8699, 17, 25307, {1, 3, 7, 9, 27, 57, 111, 209, 305, 139, 179, 25, 2295, 2593, 31361, 23677, 74501}},
+{8700, 17, 25319, {1, 3, 7, 3, 21, 63, 97, 189, 3, 693, 209, 2227, 7169, 9, 32575, 61521, 115155}},
+{8701, 17, 25323, {1, 1, 1, 11, 13, 21, 125, 249, 193, 895, 139, 1207, 5941, 5821, 6623, 7753, 80939}},
+{8702, 17, 25326, {1, 3, 5, 5, 11, 49, 17, 21, 423, 497, 835, 539, 6195, 12783, 1271, 20069, 2657}},
+{8703, 17, 25333, {1, 1, 7, 15, 13, 39, 83, 191, 77, 95, 661, 3627, 1853, 1349, 23109, 43583, 104121}},
+{8704, 17, 25334, {1, 3, 1, 15, 31, 15, 71, 255, 489, 91, 351, 367, 309, 6275, 18325, 51231, 52159}},
+{8705, 17, 25337, {1, 1, 7, 13, 21, 49, 37, 135, 355, 421, 507, 2563, 4955, 4095, 1933, 29517, 119699}},
+{8706, 17, 25348, {1, 1, 1, 1, 27, 41, 15, 161, 475, 635, 863, 3773, 6015, 6197, 24261, 26271, 42375}},
+{8707, 17, 25351, {1, 1, 7, 13, 25, 7, 23, 185, 129, 597, 1561, 3003, 2879, 15187, 4913, 24589, 12927}},
+{8708, 17, 25372, {1, 1, 3, 3, 9, 23, 49, 233, 345, 83, 823, 2627, 5019, 2365, 23755, 9855, 48515}},
+{8709, 17, 25381, {1, 3, 1, 1, 11, 7, 117, 213, 27, 923, 375, 2597, 8173, 8935, 16487, 49283, 104569}},
+{8710, 17, 25403, {1, 1, 7, 7, 23, 13, 61, 131, 313, 883, 495, 1105, 6207, 1473, 21655, 51883, 403}},
+{8711, 17, 25406, {1, 3, 3, 1, 25, 5, 5, 159, 243, 929, 1429, 1151, 5043, 11551, 21231, 38767, 105299}},
+{8712, 17, 25431, {1, 3, 7, 7, 15, 37, 49, 219, 67, 147, 873, 2391, 455, 9565, 8977, 64759, 40347}},
+{8713, 17, 25437, {1, 1, 1, 13, 21, 13, 13, 243, 303, 333, 187, 3591, 871, 2501, 30853, 5247, 48855}},
+{8714, 17, 25453, {1, 1, 1, 5, 1, 5, 127, 249, 23, 79, 789, 3507, 8119, 5025, 26545, 54009, 100633}},
+{8715, 17, 25459, {1, 3, 3, 11, 3, 31, 27, 115, 423, 309, 1805, 169, 789, 4081, 28139, 35355, 47991}},
+{8716, 17, 25462, {1, 3, 1, 5, 19, 13, 43, 165, 165, 241, 309, 1703, 7631, 5899, 12041, 21235, 97045}},
+{8717, 17, 25466, {1, 3, 1, 13, 15, 49, 29, 199, 93, 611, 77, 2681, 191, 10215, 8115, 11895, 108687}},
+{8718, 17, 25477, {1, 1, 3, 3, 13, 45, 15, 151, 345, 111, 1829, 1357, 6317, 5239, 26193, 46763, 73101}},
+{8719, 17, 25484, {1, 3, 7, 3, 1, 19, 119, 63, 23, 759, 173, 307, 967, 2731, 9353, 14479, 119}},
+{8720, 17, 25495, {1, 3, 5, 15, 5, 21, 127, 21, 419, 575, 991, 3465, 7365, 5711, 30657, 43513, 22447}},
+{8721, 17, 25501, {1, 3, 7, 1, 19, 5, 49, 7, 45, 963, 1755, 3745, 4061, 4619, 9089, 59953, 100265}},
+{8722, 17, 25506, {1, 1, 1, 3, 25, 53, 97, 97, 347, 749, 823, 1499, 8151, 9957, 731, 22317, 121623}},
+{8723, 17, 25511, {1, 3, 5, 5, 19, 3, 121, 127, 313, 457, 1737, 4065, 5295, 7957, 16373, 62085, 5711}},
+{8724, 17, 25515, {1, 1, 7, 13, 7, 37, 97, 43, 179, 837, 161, 477, 5095, 4985, 111, 58743, 24049}},
+{8725, 17, 25525, {1, 3, 1, 13, 27, 13, 91, 241, 339, 235, 111, 369, 3361, 15105, 11097, 23955, 53561}},
+{8726, 17, 25529, {1, 3, 5, 3, 9, 17, 103, 133, 309, 683, 71, 3329, 7229, 8763, 4165, 9649, 8529}},
+{8727, 17, 25532, {1, 3, 5, 13, 29, 55, 29, 205, 433, 1007, 1173, 731, 5653, 89, 18447, 37911, 65603}},
+{8728, 17, 25538, {1, 3, 5, 1, 15, 1, 7, 195, 397, 877, 1433, 3487, 1581, 1539, 3361, 7453, 46451}},
+{8729, 17, 25549, {1, 1, 5, 13, 23, 1, 47, 245, 19, 859, 681, 2971, 2531, 11393, 32765, 4595, 45213}},
+{8730, 17, 25552, {1, 3, 1, 3, 1, 11, 85, 185, 467, 413, 25, 3677, 881, 1791, 14655, 44811, 50819}},
+{8731, 17, 25564, {1, 3, 5, 9, 9, 21, 65, 99, 441, 215, 1453, 2873, 5883, 485, 20883, 1303, 11837}},
+{8732, 17, 25567, {1, 3, 3, 5, 9, 37, 87, 211, 247, 535, 1163, 1785, 4219, 12559, 17419, 48201, 21725}},
+{8733, 17, 25574, {1, 1, 1, 11, 29, 11, 9, 215, 375, 601, 627, 2641, 6961, 6175, 10995, 49299, 102891}},
+{8734, 17, 25577, {1, 3, 1, 3, 7, 7, 23, 139, 89, 1005, 1815, 947, 1507, 10349, 35, 43595, 104697}},
+{8735, 17, 25583, {1, 1, 5, 13, 29, 47, 77, 255, 341, 333, 1211, 3473, 1303, 11237, 28371, 43283, 77617}},
+{8736, 17, 25588, {1, 3, 3, 13, 27, 17, 73, 95, 227, 241, 1369, 833, 6683, 2193, 309, 64249, 6731}},
+{8737, 17, 25603, {1, 3, 3, 3, 15, 29, 45, 209, 401, 725, 1123, 1659, 6099, 15941, 5797, 30563, 119385}},
+{8738, 17, 25610, {1, 1, 1, 1, 7, 55, 95, 151, 351, 373, 1131, 2357, 7535, 3899, 19047, 17879, 34623}},
+{8739, 17, 25615, {1, 3, 1, 5, 31, 5, 33, 97, 477, 399, 1255, 1073, 1513, 11651, 2951, 31351, 102635}},
+{8740, 17, 25624, {1, 1, 3, 13, 17, 63, 51, 209, 57, 87, 977, 3663, 6717, 15441, 10709, 607, 48297}},
+{8741, 17, 25636, {1, 1, 5, 1, 9, 29, 1, 105, 343, 19, 977, 3401, 3873, 4259, 23057, 13071, 105771}},
+{8742, 17, 25639, {1, 1, 1, 5, 1, 33, 59, 17, 115, 225, 853, 3295, 965, 12547, 26971, 50097, 54999}},
+{8743, 17, 25643, {1, 3, 3, 13, 1, 51, 29, 19, 245, 781, 493, 1121, 2937, 4177, 3267, 47463, 101195}},
+{8744, 17, 25645, {1, 3, 7, 5, 3, 51, 25, 131, 451, 997, 1809, 1583, 355, 15383, 28159, 39141, 109379}},
+{8745, 17, 25648, {1, 1, 5, 7, 3, 19, 75, 103, 401, 115, 1627, 423, 2485, 7281, 6177, 54677, 31499}},
+{8746, 17, 25671, {1, 1, 1, 11, 23, 7, 57, 121, 5, 921, 1191, 1779, 1979, 3427, 25617, 19423, 73835}},
+{8747, 17, 25678, {1, 3, 3, 11, 17, 51, 15, 163, 265, 665, 1399, 1977, 3097, 7109, 14741, 24291, 79239}},
+{8748, 17, 25689, {1, 1, 7, 3, 25, 61, 69, 77, 341, 23, 713, 2879, 8075, 14855, 9691, 58241, 113277}},
+{8749, 17, 25708, {1, 3, 7, 9, 27, 43, 95, 11, 239, 445, 951, 3869, 1049, 6493, 9569, 9285, 29183}},
+{8750, 17, 25716, {1, 1, 3, 1, 1, 23, 27, 101, 337, 171, 1977, 3181, 2693, 8591, 32309, 24909, 106535}},
+{8751, 17, 25725, {1, 1, 1, 7, 23, 59, 79, 115, 49, 351, 871, 1209, 1045, 5985, 28427, 23047, 113571}},
+{8752, 17, 25730, {1, 1, 7, 13, 27, 3, 35, 7, 319, 503, 977, 3747, 4859, 16315, 30375, 25999, 24341}},
+{8753, 17, 25739, {1, 3, 3, 7, 23, 43, 67, 21, 399, 349, 1541, 2991, 5781, 14501, 5609, 65093, 12789}},
+{8754, 17, 25747, {1, 3, 1, 11, 5, 21, 17, 157, 311, 663, 469, 4033, 1557, 7569, 31163, 14079, 127771}},
+{8755, 17, 25753, {1, 1, 7, 15, 15, 31, 15, 183, 365, 35, 1433, 2793, 6685, 10565, 30409, 46815, 14173}},
+{8756, 17, 25790, {1, 1, 7, 7, 7, 45, 61, 163, 99, 353, 1535, 3185, 4023, 7999, 26173, 12675, 98073}},
+{8757, 17, 25797, {1, 1, 5, 13, 1, 11, 107, 41, 171, 773, 1513, 883, 2117, 14449, 32323, 58271, 97173}},
+{8758, 17, 25804, {1, 1, 3, 13, 27, 15, 123, 247, 281, 851, 233, 1173, 6863, 14805, 12401, 30729, 104127}},
+{8759, 17, 25809, {1, 1, 7, 11, 25, 9, 97, 215, 217, 51, 1865, 3897, 725, 4779, 21661, 11853, 72225}},
+{8760, 17, 25816, {1, 1, 5, 3, 5, 31, 125, 81, 367, 705, 325, 519, 3879, 5607, 3247, 7149, 33177}},
+{8761, 17, 25825, {1, 3, 3, 7, 17, 17, 19, 113, 331, 277, 317, 1893, 1287, 8965, 27523, 61355, 45331}},
+{8762, 17, 25831, {1, 3, 7, 9, 27, 15, 87, 21, 343, 479, 11, 2945, 1235, 1591, 28195, 40559, 42773}},
+{8763, 17, 25845, {1, 3, 3, 13, 1, 45, 115, 41, 263, 569, 71, 4051, 739, 1031, 19213, 23961, 110767}},
+{8764, 17, 25846, {1, 3, 7, 1, 9, 41, 21, 131, 3, 617, 191, 4051, 2445, 13451, 11889, 25075, 82631}},
+{8765, 17, 25867, {1, 3, 3, 15, 7, 55, 65, 67, 443, 1023, 1445, 1467, 3907, 11449, 2247, 65085, 102161}},
+{8766, 17, 25870, {1, 3, 5, 15, 19, 27, 97, 181, 51, 591, 99, 1443, 4927, 9809, 29693, 44293, 29369}},
+{8767, 17, 25897, {1, 1, 7, 7, 17, 59, 69, 163, 37, 171, 107, 2581, 3567, 9455, 19707, 6329, 27755}},
+{8768, 17, 25908, {1, 1, 1, 11, 15, 17, 83, 223, 183, 861, 1047, 3739, 3509, 5571, 28259, 42781, 130657}},
+{8769, 17, 25937, {1, 3, 3, 7, 15, 11, 33, 115, 297, 841, 1629, 1559, 2261, 11763, 22255, 63819, 55831}},
+{8770, 17, 25940, {1, 3, 3, 5, 19, 49, 17, 251, 507, 251, 805, 1041, 3947, 2219, 19977, 65449, 25031}},
+{8771, 17, 25944, {1, 1, 1, 11, 3, 7, 81, 17, 219, 729, 949, 3257, 6495, 4701, 2181, 7009, 106465}},
+{8772, 17, 25949, {1, 3, 7, 5, 27, 35, 15, 83, 43, 1013, 1427, 1943, 7555, 6613, 26879, 42685, 22071}},
+{8773, 17, 25954, {1, 1, 3, 13, 23, 55, 15, 87, 15, 579, 717, 777, 149, 11431, 26197, 17711, 7337}},
+{8774, 17, 25960, {1, 1, 5, 1, 31, 45, 113, 253, 211, 915, 1855, 4043, 2159, 1803, 5061, 40473, 3657}},
+{8775, 17, 25963, {1, 1, 3, 7, 25, 15, 37, 73, 467, 969, 1123, 4053, 4837, 10091, 25461, 40803, 91157}},
+{8776, 17, 25966, {1, 1, 5, 1, 7, 31, 77, 207, 21, 623, 577, 1195, 5839, 13013, 11189, 61691, 33327}},
+{8777, 17, 25978, {1, 3, 7, 7, 13, 3, 9, 55, 47, 779, 599, 3747, 1533, 14705, 23185, 4011, 36003}},
+{8778, 17, 25996, {1, 1, 5, 5, 31, 17, 99, 253, 103, 957, 241, 1893, 7435, 14907, 9089, 23205, 70639}},
+{8779, 17, 26007, {1, 3, 7, 15, 7, 55, 53, 101, 227, 541, 2017, 275, 577, 15621, 1799, 50373, 43197}},
+{8780, 17, 26011, {1, 3, 1, 15, 29, 23, 69, 193, 429, 359, 1045, 4091, 6551, 1673, 29113, 43247, 80993}},
+{8781, 17, 26027, {1, 3, 7, 11, 5, 37, 13, 27, 277, 65, 565, 2631, 6919, 5593, 8481, 14703, 9719}},
+{8782, 17, 26032, {1, 3, 1, 15, 5, 7, 83, 51, 77, 307, 1299, 1373, 5281, 15359, 15569, 50093, 59661}},
+{8783, 17, 26038, {1, 3, 5, 11, 13, 31, 99, 123, 263, 319, 2033, 4055, 2427, 103, 2009, 27517, 112467}},
+{8784, 17, 26049, {1, 1, 7, 3, 13, 1, 51, 131, 17, 861, 459, 3925, 5511, 5255, 28553, 36437, 54591}},
+{8785, 17, 26052, {1, 3, 7, 5, 9, 57, 49, 119, 291, 727, 1611, 4035, 4517, 10979, 28445, 26905, 57517}},
+{8786, 17, 26055, {1, 1, 5, 9, 9, 55, 43, 209, 411, 137, 1619, 3965, 5253, 8217, 7569, 42043, 104163}},
+{8787, 17, 26085, {1, 3, 3, 7, 21, 3, 107, 255, 353, 735, 71, 1789, 3351, 755, 22805, 53537, 126859}},
+{8788, 17, 26089, {1, 1, 7, 5, 15, 55, 13, 167, 165, 289, 1231, 2547, 8135, 5475, 2361, 49019, 110579}},
+{8789, 17, 26090, {1, 3, 1, 11, 17, 21, 59, 37, 177, 517, 499, 4035, 749, 14297, 22415, 54975, 29769}},
+{8790, 17, 26098, {1, 3, 7, 3, 3, 59, 55, 17, 483, 625, 875, 1465, 7583, 2969, 2741, 36965, 80367}},
+{8791, 17, 26104, {1, 1, 3, 13, 31, 5, 11, 149, 7, 297, 1485, 735, 4095, 10089, 5757, 64997, 56629}},
+{8792, 17, 26110, {1, 3, 1, 13, 19, 43, 77, 209, 309, 739, 1765, 3297, 8167, 6523, 27987, 25235, 80555}},
+{8793, 17, 26113, {1, 1, 3, 9, 31, 57, 125, 75, 3, 633, 85, 3339, 1691, 9721, 17465, 36801, 106147}},
+{8794, 17, 26126, {1, 3, 5, 15, 27, 7, 111, 7, 475, 523, 1825, 1367, 1549, 15533, 13827, 14471, 100271}},
+{8795, 17, 26133, {1, 1, 5, 3, 5, 61, 1, 221, 163, 183, 1701, 3549, 349, 10057, 26169, 20725, 55305}},
+{8796, 17, 26138, {1, 1, 3, 1, 15, 41, 13, 71, 269, 909, 1253, 2553, 83, 10055, 1057, 39841, 20437}},
+{8797, 17, 26140, {1, 3, 3, 5, 29, 39, 113, 23, 137, 601, 361, 1779, 279, 15803, 8993, 2633, 114847}},
+{8798, 17, 26156, {1, 1, 3, 7, 29, 45, 35, 27, 71, 253, 231, 3449, 1955, 9109, 9043, 50593, 15023}},
+{8799, 17, 26159, {1, 3, 1, 11, 17, 45, 85, 255, 341, 957, 769, 3009, 3997, 6435, 1161, 34219, 97077}},
+{8800, 17, 26176, {1, 1, 5, 1, 1, 19, 9, 51, 477, 129, 1411, 3223, 5069, 3237, 15947, 27215, 70401}},
+{8801, 17, 26186, {1, 1, 3, 1, 1, 1, 73, 31, 301, 227, 119, 607, 3379, 3907, 1263, 2651, 43769}},
+{8802, 17, 26203, {1, 1, 1, 15, 21, 59, 109, 155, 473, 361, 1871, 3085, 513, 12607, 12747, 41067, 44977}},
+{8803, 17, 26210, {1, 1, 7, 3, 27, 21, 89, 71, 437, 671, 1469, 2191, 4225, 6343, 1131, 29141, 25221}},
+{8804, 17, 26222, {1, 1, 7, 9, 7, 45, 95, 197, 391, 11, 1913, 3107, 5247, 959, 30395, 32809, 20893}},
+{8805, 17, 26224, {1, 3, 7, 15, 13, 49, 77, 245, 463, 769, 1807, 1311, 2715, 14819, 27595, 57521, 105221}},
+{8806, 17, 26229, {1, 1, 1, 5, 23, 45, 119, 77, 325, 405, 1631, 461, 6357, 7037, 31699, 46295, 118577}},
+{8807, 17, 26233, {1, 3, 5, 1, 21, 3, 31, 13, 7, 571, 633, 425, 6547, 3423, 19355, 49481, 76289}},
+{8808, 17, 26236, {1, 1, 3, 9, 7, 51, 113, 173, 169, 97, 1821, 979, 2553, 11505, 20047, 39277, 122905}},
+{8809, 17, 26239, {1, 1, 5, 13, 17, 9, 111, 205, 261, 671, 657, 507, 3903, 10767, 4387, 3045, 102617}},
+{8810, 17, 26267, {1, 1, 3, 3, 5, 11, 19, 61, 401, 605, 455, 2457, 4471, 7255, 18435, 49673, 97289}},
+{8811, 17, 26291, {1, 3, 1, 1, 31, 25, 77, 35, 65, 127, 929, 2325, 2315, 13819, 5509, 12515, 36991}},
+{8812, 17, 26293, {1, 1, 7, 5, 21, 49, 33, 119, 181, 645, 1425, 2411, 245, 13755, 18775, 50061, 47119}},
+{8813, 17, 26298, {1, 3, 7, 5, 27, 43, 81, 191, 233, 435, 829, 3881, 713, 11153, 4637, 37721, 115567}},
+{8814, 17, 26303, {1, 3, 7, 1, 27, 59, 51, 165, 59, 931, 1921, 3059, 6843, 813, 22063, 29445, 114765}},
+{8815, 17, 26308, {1, 1, 5, 11, 31, 53, 89, 69, 29, 893, 1241, 7, 1707, 16167, 8371, 14021, 103281}},
+{8816, 17, 26312, {1, 3, 1, 1, 23, 21, 3, 35, 73, 769, 1417, 4051, 3223, 813, 1141, 18823, 31951}},
+{8817, 17, 26315, {1, 3, 7, 11, 9, 17, 89, 85, 407, 137, 1865, 2881, 1495, 3757, 3711, 36651, 1797}},
+{8818, 17, 26342, {1, 3, 5, 1, 25, 29, 29, 217, 15, 173, 479, 2363, 2341, 6193, 16403, 64097, 1173}},
+{8819, 17, 26354, {1, 3, 3, 3, 11, 29, 113, 167, 333, 573, 1467, 2223, 5693, 1063, 20299, 40993, 69055}},
+{8820, 17, 26363, {1, 1, 3, 7, 3, 51, 45, 139, 79, 393, 1251, 1087, 1423, 1827, 23445, 41635, 78511}},
+{8821, 17, 26365, {1, 3, 3, 13, 29, 45, 85, 229, 33, 373, 113, 1205, 997, 11777, 7663, 18513, 5797}},
+{8822, 17, 26383, {1, 1, 5, 5, 15, 5, 127, 85, 49, 345, 901, 3215, 2347, 2329, 19597, 39555, 25031}},
+{8823, 17, 26391, {1, 1, 7, 11, 9, 25, 71, 183, 341, 1011, 439, 3649, 2859, 10183, 7635, 45297, 38581}},
+{8824, 17, 26398, {1, 1, 1, 11, 23, 13, 1, 69, 461, 77, 1641, 2851, 1889, 2413, 1131, 39009, 33773}},
+{8825, 17, 26416, {1, 3, 7, 7, 25, 19, 67, 233, 141, 207, 1501, 453, 4773, 7411, 22839, 25365, 53189}},
+{8826, 17, 26421, {1, 1, 7, 3, 3, 17, 13, 167, 73, 1005, 887, 2595, 4351, 3249, 5653, 36025, 33733}},
+{8827, 17, 26425, {1, 1, 7, 15, 11, 1, 105, 215, 329, 601, 1477, 723, 4597, 3525, 26235, 63957, 26677}},
+{8828, 17, 26434, {1, 1, 1, 11, 27, 15, 111, 133, 327, 567, 845, 2135, 7905, 7297, 29255, 14947, 104885}},
+{8829, 17, 26439, {1, 1, 7, 9, 21, 11, 67, 179, 459, 423, 295, 3445, 1681, 12907, 29281, 7445, 35539}},
+{8830, 17, 26453, {1, 1, 3, 11, 23, 61, 111, 123, 81, 439, 299, 3557, 2821, 705, 15393, 37175, 11533}},
+{8831, 17, 26454, {1, 1, 3, 1, 13, 15, 113, 227, 285, 313, 687, 2085, 6363, 8003, 32661, 36461, 68759}},
+{8832, 17, 26470, {1, 3, 3, 1, 27, 7, 101, 177, 363, 461, 1519, 2339, 473, 7469, 4335, 30951, 130987}},
+{8833, 17, 26491, {1, 1, 1, 3, 31, 39, 59, 159, 207, 93, 581, 1973, 945, 11343, 15901, 22001, 3515}},
+{8834, 17, 26493, {1, 3, 7, 5, 11, 53, 125, 57, 389, 985, 1055, 3803, 3879, 5537, 28221, 36805, 16025}},
+{8835, 17, 26500, {1, 1, 1, 9, 1, 63, 81, 57, 59, 813, 865, 3491, 3771, 6121, 6847, 14765, 68567}},
+{8836, 17, 26509, {1, 1, 7, 7, 13, 17, 23, 211, 435, 167, 933, 357, 3567, 3019, 28439, 17701, 119937}},
+{8837, 17, 26518, {1, 1, 1, 9, 7, 53, 103, 155, 211, 719, 413, 3673, 2795, 15687, 1737, 50855, 129133}},
+{8838, 17, 26531, {1, 1, 3, 13, 11, 23, 53, 121, 497, 383, 1655, 937, 5563, 2549, 23183, 46149, 78875}},
+{8839, 17, 26533, {1, 3, 5, 11, 25, 1, 45, 139, 437, 729, 2009, 3245, 4091, 551, 25993, 31655, 33641}},
+{8840, 17, 26540, {1, 3, 1, 13, 7, 23, 87, 111, 471, 501, 1767, 1051, 7037, 3199, 19609, 43227, 53667}},
+{8841, 17, 26552, {1, 3, 7, 1, 25, 1, 49, 189, 55, 375, 601, 2065, 2991, 7697, 25739, 14951, 43705}},
+{8842, 17, 26566, {1, 1, 7, 5, 29, 21, 51, 111, 81, 809, 1963, 2143, 5529, 15701, 4719, 11857, 88207}},
+{8843, 17, 26569, {1, 1, 5, 11, 27, 27, 7, 145, 281, 939, 537, 1255, 1475, 11383, 15081, 9105, 102775}},
+{8844, 17, 26583, {1, 1, 5, 7, 9, 45, 67, 23, 65, 139, 1871, 3975, 6357, 6515, 25423, 23915, 76289}},
+{8845, 17, 26590, {1, 1, 5, 11, 31, 31, 89, 65, 451, 341, 819, 2439, 6753, 15113, 9085, 32687, 5055}},
+{8846, 17, 26596, {1, 1, 5, 1, 15, 29, 123, 83, 495, 185, 303, 315, 6015, 5257, 2467, 4903, 78269}},
+{8847, 17, 26624, {1, 1, 3, 5, 31, 51, 49, 199, 501, 407, 733, 1181, 8023, 7321, 14765, 17535, 19893}},
+{8848, 17, 26636, {1, 1, 5, 5, 19, 15, 103, 183, 13, 969, 1537, 3053, 3173, 12983, 21761, 33733, 67799}},
+{8849, 17, 26667, {1, 3, 1, 1, 27, 55, 37, 149, 379, 11, 1655, 2317, 3135, 6459, 25941, 12679, 60245}},
+{8850, 17, 26669, {1, 1, 3, 9, 9, 13, 33, 243, 337, 741, 1685, 1147, 5465, 4865, 559, 23993, 47273}},
+{8851, 17, 26672, {1, 3, 5, 13, 21, 11, 39, 169, 135, 209, 1909, 3655, 3117, 1075, 8165, 54633, 28189}},
+{8852, 17, 26675, {1, 3, 1, 15, 9, 23, 11, 123, 63, 133, 947, 907, 3853, 10291, 22905, 4561, 92497}},
+{8853, 17, 26687, {1, 1, 3, 13, 17, 9, 5, 209, 429, 3, 2035, 1497, 6765, 5991, 24991, 8155, 103417}},
+{8854, 17, 26689, {1, 1, 5, 13, 27, 47, 79, 11, 41, 791, 1939, 3099, 4069, 4665, 20801, 18659, 72163}},
+{8855, 17, 26696, {1, 3, 1, 13, 25, 37, 79, 131, 233, 647, 291, 1419, 5157, 4261, 27715, 611, 83157}},
+{8856, 17, 26702, {1, 1, 5, 1, 17, 61, 45, 163, 137, 937, 91, 1695, 1553, 543, 28615, 6855, 75201}},
+{8857, 17, 26714, {1, 1, 3, 13, 7, 63, 109, 13, 351, 159, 1111, 2791, 4701, 5805, 9707, 18361, 98091}},
+{8858, 17, 26716, {1, 1, 3, 11, 11, 21, 55, 247, 111, 801, 93, 3091, 1043, 9761, 23679, 5555, 195}},
+{8859, 17, 26729, {1, 1, 1, 1, 13, 43, 123, 113, 265, 561, 659, 3755, 6605, 10949, 30511, 29495, 9075}},
+{8860, 17, 26732, {1, 3, 1, 7, 23, 63, 19, 73, 233, 1017, 851, 1971, 3999, 7407, 25309, 63991, 92867}},
+{8861, 17, 26737, {1, 3, 3, 3, 19, 63, 127, 107, 465, 463, 1507, 1323, 4729, 14717, 9129, 24859, 117565}},
+{8862, 17, 26747, {1, 1, 7, 1, 19, 11, 13, 85, 339, 939, 895, 887, 765, 15501, 8783, 65087, 77899}},
+{8863, 17, 26773, {1, 3, 7, 3, 7, 15, 43, 153, 365, 223, 1947, 2295, 787, 5549, 20089, 29203, 4807}},
+{8864, 17, 26780, {1, 3, 7, 3, 31, 27, 51, 217, 483, 623, 633, 2123, 1211, 9173, 17949, 54251, 89161}},
+{8865, 17, 26801, {1, 3, 3, 11, 3, 11, 111, 73, 283, 23, 1925, 253, 5141, 12545, 24913, 16847, 13067}},
+{8866, 17, 26811, {1, 3, 5, 5, 31, 39, 35, 235, 135, 85, 191, 999, 6633, 12527, 21401, 61339, 81239}},
+{8867, 17, 26813, {1, 1, 3, 15, 9, 13, 39, 125, 137, 639, 555, 813, 2821, 1199, 32075, 15079, 104609}},
+{8868, 17, 26831, {1, 3, 7, 7, 15, 43, 99, 51, 245, 25, 147, 89, 6841, 5523, 28493, 13967, 113109}},
+{8869, 17, 26836, {1, 1, 3, 13, 7, 5, 27, 121, 269, 231, 1011, 1365, 5055, 11619, 27393, 48033, 65725}},
+{8870, 17, 26839, {1, 1, 7, 5, 9, 23, 41, 71, 327, 339, 1681, 3303, 4143, 421, 15213, 48405, 98067}},
+{8871, 17, 26849, {1, 3, 7, 15, 15, 33, 73, 33, 351, 131, 1051, 3909, 7535, 7659, 9443, 35015, 329}},
+{8872, 17, 26862, {1, 1, 3, 9, 19, 55, 97, 223, 265, 877, 235, 867, 4961, 3137, 19885, 10955, 7655}},
+{8873, 17, 26869, {1, 3, 5, 13, 1, 11, 75, 215, 271, 793, 1691, 1437, 1317, 10977, 1311, 64865, 92361}},
+{8874, 17, 26873, {1, 1, 1, 5, 23, 23, 35, 53, 187, 345, 115, 929, 3919, 4523, 31709, 16771, 33399}},
+{8875, 17, 26874, {1, 3, 5, 11, 17, 7, 75, 57, 351, 359, 1737, 2665, 4259, 13905, 6999, 45359, 117891}},
+{8876, 17, 26888, {1, 1, 5, 3, 23, 29, 49, 209, 417, 843, 531, 1649, 7829, 6271, 3759, 39727, 47415}},
+{8877, 17, 26891, {1, 1, 7, 1, 21, 45, 101, 105, 385, 797, 985, 1447, 3757, 3287, 583, 29283, 96821}},
+{8878, 17, 26896, {1, 1, 7, 9, 1, 29, 15, 207, 289, 465, 815, 2289, 449, 9403, 19197, 13797, 102651}},
+{8879, 17, 26899, {1, 3, 7, 15, 5, 45, 81, 187, 21, 433, 679, 2759, 3375, 6935, 22595, 50149, 13557}},
+{8880, 17, 26912, {1, 3, 3, 5, 11, 55, 69, 219, 95, 21, 645, 1955, 7527, 6037, 29427, 36297, 62013}},
+{8881, 17, 26921, {1, 1, 7, 15, 13, 35, 25, 67, 383, 13, 539, 2399, 4611, 8065, 3815, 27771, 50411}},
+{8882, 17, 26935, {1, 3, 1, 3, 27, 47, 65, 33, 393, 895, 1663, 1289, 1057, 11887, 1259, 53611, 36811}},
+{8883, 17, 26941, {1, 3, 5, 3, 5, 1, 27, 65, 379, 15, 1643, 1461, 3009, 8177, 15589, 5889, 1103}},
+{8884, 17, 26949, {1, 1, 5, 15, 27, 53, 43, 173, 377, 665, 581, 1061, 1363, 15015, 26709, 29507, 28075}},
+{8885, 17, 26954, {1, 1, 7, 3, 9, 11, 45, 71, 23, 995, 1277, 855, 1001, 12927, 19753, 46639, 16949}},
+{8886, 17, 26967, {1, 1, 7, 5, 15, 33, 27, 27, 437, 415, 1785, 2091, 279, 8041, 2209, 15821, 122363}},
+{8887, 17, 26977, {1, 1, 7, 1, 21, 1, 47, 215, 463, 959, 849, 1703, 5175, 10043, 16991, 11023, 52201}},
+{8888, 17, 27011, {1, 1, 1, 11, 21, 7, 121, 31, 95, 631, 1717, 3017, 2083, 2047, 12051, 63117, 25949}},
+{8889, 17, 27018, {1, 1, 5, 5, 9, 5, 105, 121, 205, 643, 1721, 2601, 2991, 2381, 4873, 12049, 20043}},
+{8890, 17, 27026, {1, 3, 5, 11, 7, 11, 97, 187, 253, 571, 101, 3077, 1479, 9513, 15451, 37105, 34445}},
+{8891, 17, 27028, {1, 1, 7, 11, 19, 19, 39, 115, 221, 13, 217, 369, 6855, 14529, 143, 13461, 62927}},
+{8892, 17, 27032, {1, 3, 3, 7, 29, 27, 9, 171, 419, 571, 837, 3829, 1871, 12691, 30693, 4195, 38905}},
+{8893, 17, 27044, {1, 1, 1, 11, 5, 55, 17, 41, 241, 419, 337, 897, 4663, 14469, 18701, 18009, 44605}},
+{8894, 17, 27053, {1, 1, 7, 7, 1, 33, 63, 197, 257, 655, 1287, 2571, 57, 13275, 29669, 8501, 61389}},
+{8895, 17, 27062, {1, 3, 5, 3, 29, 39, 101, 215, 101, 271, 1373, 2171, 841, 9865, 28951, 20369, 42413}},
+{8896, 17, 27065, {1, 3, 5, 1, 31, 23, 119, 137, 263, 633, 1239, 281, 4965, 14913, 30229, 14147, 37183}},
+{8897, 17, 27068, {1, 3, 1, 3, 11, 55, 33, 45, 69, 913, 269, 1021, 4005, 15191, 11187, 45917, 76905}},
+{8898, 17, 27080, {1, 1, 1, 13, 27, 11, 75, 139, 243, 221, 1289, 2195, 7041, 10053, 5731, 35245, 41317}},
+{8899, 17, 27083, {1, 1, 7, 9, 25, 11, 81, 243, 233, 137, 831, 2825, 6007, 7305, 31733, 64343, 7047}},
+{8900, 17, 27093, {1, 3, 5, 9, 17, 61, 25, 245, 285, 969, 1397, 1331, 5393, 3653, 15533, 9121, 111115}},
+{8901, 17, 27098, {1, 1, 5, 9, 1, 9, 61, 205, 285, 849, 1071, 1013, 2655, 10121, 15165, 25189, 56207}},
+{8902, 17, 27107, {1, 3, 5, 7, 19, 45, 121, 19, 237, 711, 1523, 3251, 693, 13567, 31993, 11239, 64127}},
+{8903, 17, 27110, {1, 1, 1, 11, 23, 25, 33, 211, 321, 1021, 1855, 291, 2911, 11841, 21929, 64147, 63201}},
+{8904, 17, 27114, {1, 1, 7, 3, 27, 21, 119, 219, 431, 819, 83, 2487, 7533, 10697, 3129, 53301, 104999}},
+{8905, 17, 27121, {1, 3, 5, 15, 9, 25, 89, 65, 293, 411, 989, 3103, 5563, 15703, 8757, 32595, 43409}},
+{8906, 17, 27127, {1, 3, 3, 1, 31, 31, 45, 173, 231, 171, 1185, 1499, 1713, 9945, 11575, 37113, 103989}},
+{8907, 17, 27137, {1, 1, 5, 13, 27, 3, 93, 253, 23, 71, 1963, 2571, 6259, 15757, 9709, 42835, 42047}},
+{8908, 17, 27144, {1, 1, 7, 11, 5, 11, 123, 117, 39, 559, 111, 527, 6253, 781, 9177, 47189, 94031}},
+{8909, 17, 27155, {1, 1, 5, 15, 5, 49, 93, 185, 167, 787, 1553, 3291, 3723, 1651, 23225, 5643, 42967}},
+{8910, 17, 27171, {1, 3, 1, 13, 15, 35, 19, 193, 505, 127, 661, 1943, 1249, 5103, 8233, 64319, 76955}},
+{8911, 17, 27178, {1, 3, 7, 7, 17, 13, 97, 185, 415, 331, 283, 3341, 2903, 2927, 7729, 4095, 103083}},
+{8912, 17, 27180, {1, 1, 3, 15, 15, 25, 65, 45, 413, 521, 747, 2605, 5845, 12909, 7651, 45937, 99043}},
+{8913, 17, 27185, {1, 1, 5, 9, 9, 21, 3, 75, 335, 745, 1493, 1721, 1977, 11105, 22621, 49281, 107113}},
+{8914, 17, 27191, {1, 3, 1, 11, 25, 11, 99, 53, 239, 831, 655, 615, 7565, 14039, 29115, 26165, 127159}},
+{8915, 17, 27192, {1, 1, 7, 5, 31, 35, 75, 157, 441, 815, 119, 565, 2703, 14059, 7867, 42487, 93647}},
+{8916, 17, 27195, {1, 3, 7, 3, 3, 59, 101, 223, 257, 989, 363, 1059, 5157, 11129, 1481, 19287, 117623}},
+{8917, 17, 27212, {1, 1, 1, 1, 29, 27, 1, 129, 253, 673, 103, 1881, 7053, 1261, 32003, 23345, 102503}},
+{8918, 17, 27215, {1, 3, 1, 9, 11, 37, 3, 99, 303, 519, 1175, 3021, 2275, 9919, 25011, 45865, 71351}},
+{8919, 17, 27218, {1, 1, 7, 15, 27, 9, 107, 61, 385, 21, 861, 2119, 4643, 8379, 25455, 22425, 113387}},
+{8920, 17, 27230, {1, 1, 1, 7, 27, 15, 73, 211, 497, 527, 873, 329, 2213, 415, 13987, 56581, 27829}},
+{8921, 17, 27234, {1, 3, 5, 1, 31, 43, 107, 149, 209, 211, 2029, 2793, 2213, 12389, 27177, 51375, 51983}},
+{8922, 17, 27245, {1, 3, 3, 7, 25, 57, 67, 101, 127, 43, 1775, 801, 3343, 12203, 8667, 58387, 10735}},
+{8923, 17, 27248, {1, 1, 7, 5, 13, 47, 101, 123, 133, 593, 1409, 3525, 2545, 13009, 11873, 38463, 1075}},
+{8924, 17, 27263, {1, 3, 3, 1, 3, 19, 75, 221, 157, 67, 397, 1141, 5073, 10795, 9857, 35459, 62701}},
+{8925, 17, 27279, {1, 1, 7, 7, 23, 17, 41, 179, 83, 543, 1839, 3709, 131, 15681, 9147, 18685, 90389}},
+{8926, 17, 27288, {1, 1, 5, 7, 17, 15, 31, 217, 79, 687, 1927, 2889, 6127, 15095, 28437, 16403, 123275}},
+{8927, 17, 27294, {1, 3, 7, 15, 13, 17, 123, 75, 45, 635, 525, 3897, 6769, 13855, 16695, 18039, 37479}},
+{8928, 17, 27303, {1, 1, 5, 1, 23, 15, 69, 161, 503, 339, 1061, 839, 9, 10013, 24493, 32711, 50147}},
+{8929, 17, 27304, {1, 3, 3, 11, 5, 45, 9, 233, 131, 629, 1111, 3311, 2211, 9079, 19763, 23793, 85389}},
+{8930, 17, 27312, {1, 1, 7, 7, 7, 27, 15, 85, 291, 925, 1545, 3061, 4867, 1613, 13467, 53731, 92811}},
+{8931, 17, 27330, {1, 3, 5, 1, 21, 21, 71, 33, 141, 675, 1519, 3275, 1491, 10717, 28199, 14983, 18961}},
+{8932, 17, 27341, {1, 3, 5, 5, 31, 13, 109, 239, 369, 373, 257, 3765, 2531, 13281, 11877, 29439, 106939}},
+{8933, 17, 27342, {1, 3, 7, 15, 13, 39, 111, 203, 109, 179, 789, 3849, 433, 5745, 2343, 15795, 92603}},
+{8934, 17, 27344, {1, 3, 5, 5, 11, 57, 3, 245, 289, 249, 713, 315, 2261, 1249, 6963, 44507, 100829}},
+{8935, 17, 27353, {1, 3, 5, 11, 5, 49, 97, 245, 363, 315, 509, 17, 4485, 15393, 28491, 17945, 65663}},
+{8936, 17, 27356, {1, 3, 5, 1, 5, 13, 15, 17, 141, 119, 1393, 581, 2439, 2015, 11527, 8537, 103005}},
+{8937, 17, 27366, {1, 3, 5, 1, 25, 9, 117, 25, 99, 777, 985, 1159, 99, 3013, 21429, 19027, 61833}},
+{8938, 17, 27369, {1, 1, 1, 5, 1, 47, 37, 83, 159, 29, 281, 3789, 2525, 15999, 8965, 11145, 14453}},
+{8939, 17, 27377, {1, 1, 3, 1, 11, 63, 77, 207, 267, 473, 241, 629, 6969, 9093, 839, 3875, 18873}},
+{8940, 17, 27387, {1, 3, 5, 7, 31, 57, 103, 65, 349, 321, 717, 2403, 105, 643, 27999, 2509, 123061}},
+{8941, 17, 27409, {1, 1, 5, 7, 3, 31, 7, 113, 17, 995, 1211, 1749, 6757, 3391, 8011, 47715, 24301}},
+{8942, 17, 27437, {1, 3, 7, 11, 7, 55, 29, 155, 373, 81, 1255, 2205, 3233, 9537, 22129, 24505, 79021}},
+{8943, 17, 27443, {1, 1, 7, 5, 3, 49, 5, 51, 89, 107, 585, 3933, 745, 11685, 20663, 12521, 24357}},
+{8944, 17, 27446, {1, 1, 7, 1, 17, 17, 83, 215, 357, 581, 2025, 3411, 7287, 11925, 2253, 43513, 98655}},
+{8945, 17, 27450, {1, 3, 5, 3, 27, 27, 51, 147, 471, 509, 423, 3807, 677, 8429, 581, 47999, 35913}},
+{8946, 17, 27452, {1, 3, 3, 9, 15, 31, 1, 93, 207, 759, 1991, 473, 2273, 43, 12547, 58085, 20953}},
+{8947, 17, 27457, {1, 1, 3, 3, 1, 27, 39, 219, 381, 187, 159, 2333, 6141, 3775, 5693, 14853, 38765}},
+{8948, 17, 27472, {1, 3, 1, 5, 19, 1, 19, 237, 231, 975, 1609, 723, 241, 10105, 18817, 58373, 118889}},
+{8949, 17, 27475, {1, 1, 5, 7, 7, 43, 99, 181, 109, 529, 421, 1493, 1075, 12219, 24287, 33479, 29987}},
+{8950, 17, 27487, {1, 1, 7, 1, 17, 11, 79, 85, 157, 851, 1429, 3355, 139, 14327, 30025, 60303, 109015}},
+{8951, 17, 27488, {1, 3, 5, 9, 11, 15, 37, 79, 5, 169, 999, 815, 6255, 11763, 16299, 49891, 101917}},
+{8952, 17, 27493, {1, 3, 5, 9, 29, 45, 51, 211, 159, 771, 1631, 2871, 4877, 4941, 18127, 15669, 57515}},
+{8953, 17, 27506, {1, 1, 3, 3, 19, 29, 9, 205, 253, 399, 303, 2441, 3187, 641, 23341, 52951, 57559}},
+{8954, 17, 27508, {1, 3, 3, 15, 11, 29, 121, 227, 69, 935, 365, 217, 4617, 13193, 27663, 46903, 107843}},
+{8955, 17, 27521, {1, 1, 5, 11, 13, 31, 13, 243, 275, 685, 1613, 1915, 2775, 11225, 4729, 45549, 103875}},
+{8956, 17, 27522, {1, 1, 5, 1, 9, 61, 35, 143, 165, 441, 517, 1735, 5281, 10139, 21107, 11713, 130483}},
+{8957, 17, 27527, {1, 3, 5, 5, 13, 21, 7, 219, 97, 887, 1845, 469, 2523, 1569, 9959, 4397, 15823}},
+{8958, 17, 27536, {1, 3, 7, 11, 15, 27, 73, 223, 365, 939, 331, 145, 683, 6441, 23421, 59177, 31763}},
+{8959, 17, 27539, {1, 3, 1, 5, 9, 59, 85, 113, 343, 831, 121, 3157, 6059, 14923, 27401, 19759, 14223}},
+{8960, 17, 27541, {1, 3, 1, 7, 17, 25, 3, 39, 471, 759, 2041, 609, 4293, 7491, 8041, 50857, 25601}},
+{8961, 17, 27546, {1, 1, 5, 15, 19, 45, 21, 5, 269, 197, 527, 1839, 1719, 15105, 18671, 42167, 9617}},
+{8962, 17, 27557, {1, 3, 1, 3, 5, 35, 3, 105, 395, 113, 1945, 3945, 3951, 12207, 32135, 34121, 10237}},
+{8963, 17, 27564, {1, 1, 5, 13, 21, 43, 51, 255, 57, 399, 1937, 1573, 363, 11589, 26989, 54345, 94341}},
+{8964, 17, 27572, {1, 3, 3, 3, 5, 45, 83, 125, 179, 923, 39, 3617, 7683, 8191, 31469, 23633, 79179}},
+{8965, 17, 27576, {1, 3, 7, 9, 9, 37, 107, 65, 423, 77, 1779, 1375, 2085, 11779, 6535, 2973, 29425}},
+{8966, 17, 27584, {1, 1, 7, 3, 11, 39, 101, 137, 407, 855, 1767, 1717, 2821, 10447, 31187, 6329, 124111}},
+{8967, 17, 27608, {1, 1, 5, 11, 27, 27, 45, 103, 225, 681, 725, 1791, 2881, 2923, 14473, 12269, 58743}},
+{8968, 17, 27611, {1, 1, 3, 11, 15, 39, 113, 167, 143, 677, 1189, 1571, 5339, 6065, 30187, 19639, 42227}},
+{8969, 17, 27618, {1, 1, 1, 3, 13, 7, 113, 75, 129, 619, 1741, 1495, 4751, 11085, 22391, 199, 105463}},
+{8970, 17, 27620, {1, 1, 3, 3, 19, 47, 77, 195, 209, 453, 495, 1605, 5255, 15327, 8941, 18239, 54511}},
+{8971, 17, 27627, {1, 1, 7, 7, 21, 29, 95, 175, 3, 689, 611, 2467, 6919, 12399, 18869, 16171, 102753}},
+{8972, 17, 27630, {1, 1, 5, 1, 27, 43, 61, 133, 37, 603, 315, 1915, 813, 15769, 27447, 29589, 122281}},
+{8973, 17, 27637, {1, 1, 7, 3, 11, 1, 119, 235, 93, 481, 1811, 1643, 4853, 11313, 8991, 6153, 68985}},
+{8974, 17, 27638, {1, 1, 1, 7, 1, 13, 99, 83, 221, 775, 1345, 219, 4445, 11837, 10405, 43563, 122111}},
+{8975, 17, 27641, {1, 1, 5, 13, 21, 33, 105, 19, 343, 571, 703, 429, 2485, 15531, 9801, 24101, 88275}},
+{8976, 17, 27647, {1, 3, 5, 1, 27, 55, 73, 49, 33, 773, 1411, 1227, 6827, 1271, 28897, 24265, 32383}},
+{8977, 17, 27650, {1, 3, 7, 3, 9, 45, 59, 5, 157, 669, 261, 2077, 1425, 8221, 5849, 40857, 121029}},
+{8978, 17, 27676, {1, 3, 7, 11, 23, 5, 87, 113, 279, 611, 1195, 1775, 5813, 6737, 18051, 41341, 93331}},
+{8979, 17, 27683, {1, 1, 7, 7, 9, 55, 113, 3, 167, 295, 1579, 2833, 4003, 7583, 22833, 44427, 34781}},
+{8980, 17, 27690, {1, 1, 5, 13, 21, 33, 127, 175, 153, 961, 819, 143, 3969, 6159, 29437, 14123, 65317}},
+{8981, 17, 27695, {1, 1, 1, 15, 31, 27, 1, 17, 329, 963, 1907, 421, 535, 2323, 22749, 44375, 115531}},
+{8982, 17, 27700, {1, 1, 5, 15, 15, 23, 57, 171, 253, 401, 1577, 3855, 197, 7979, 17577, 25275, 88831}},
+{8983, 17, 27704, {1, 1, 7, 9, 27, 9, 7, 13, 381, 847, 533, 357, 6551, 13441, 5717, 20209, 64347}},
+{8984, 17, 27709, {1, 1, 7, 9, 1, 1, 31, 245, 315, 901, 1857, 497, 4285, 13227, 3937, 45025, 59627}},
+{8985, 17, 27715, {1, 1, 7, 3, 5, 23, 119, 147, 479, 71, 113, 3379, 863, 8285, 31259, 15863, 47267}},
+{8986, 17, 27727, {1, 3, 5, 1, 5, 7, 77, 163, 421, 353, 1757, 1335, 4975, 3011, 11703, 56075, 12045}},
+{8987, 17, 27745, {1, 1, 5, 3, 31, 25, 81, 59, 211, 463, 1693, 609, 3307, 3641, 19643, 29361, 8399}},
+{8988, 17, 27763, {1, 1, 7, 13, 19, 47, 43, 43, 275, 735, 535, 3689, 3987, 10695, 17243, 60565, 72299}},
+{8989, 17, 27769, {1, 3, 3, 5, 25, 35, 75, 63, 305, 127, 189, 1785, 731, 12089, 27811, 43259, 28191}},
+{8990, 17, 27770, {1, 3, 7, 11, 17, 17, 59, 107, 139, 355, 1055, 3181, 4743, 14785, 26323, 441, 35613}},
+{8991, 17, 27796, {1, 3, 1, 1, 17, 17, 39, 203, 373, 601, 449, 1837, 835, 7061, 14655, 61765, 80735}},
+{8992, 17, 27810, {1, 3, 5, 7, 27, 17, 25, 41, 125, 895, 1843, 3167, 1527, 4707, 6477, 33575, 97247}},
+{8993, 17, 27812, {1, 3, 3, 3, 13, 39, 25, 15, 279, 347, 1121, 3603, 3019, 9577, 16863, 61483, 15995}},
+{8994, 17, 27834, {1, 3, 5, 11, 15, 33, 15, 81, 185, 289, 909, 1237, 3623, 3983, 24211, 62719, 79685}},
+{8995, 17, 27847, {1, 1, 1, 7, 29, 1, 53, 17, 137, 269, 1209, 3937, 4167, 14057, 8061, 38863, 101477}},
+{8996, 17, 27848, {1, 1, 1, 9, 5, 45, 95, 127, 507, 159, 1763, 1527, 5689, 11007, 549, 22837, 99207}},
+{8997, 17, 27862, {1, 3, 3, 1, 15, 57, 127, 39, 73, 397, 67, 3159, 119, 8929, 29425, 57687, 68063}},
+{8998, 17, 27868, {1, 3, 1, 3, 27, 7, 111, 209, 291, 17, 1381, 1597, 5389, 4577, 20463, 28325, 23743}},
+{8999, 17, 27881, {1, 3, 3, 7, 23, 41, 83, 81, 213, 537, 1037, 2371, 1485, 8391, 12471, 58541, 27559}},
+{9000, 17, 27884, {1, 3, 1, 15, 21, 43, 87, 75, 451, 851, 1917, 2739, 2167, 12531, 29931, 8017, 15163}},
+{9001, 17, 27890, {1, 1, 3, 9, 27, 19, 41, 145, 401, 759, 527, 3085, 187, 10615, 4995, 22421, 69867}},
+{9002, 17, 27895, {1, 3, 3, 13, 29, 51, 65, 47, 157, 609, 1061, 1913, 6195, 12503, 10375, 55819, 122091}},
+{9003, 17, 27904, {1, 1, 3, 7, 1, 19, 3, 149, 453, 279, 569, 3429, 331, 711, 26773, 21163, 129339}},
+{9004, 17, 27914, {1, 1, 5, 3, 7, 47, 39, 181, 115, 771, 2037, 411, 2697, 7501, 6393, 19461, 74967}},
+{9005, 17, 27919, {1, 3, 3, 5, 5, 17, 89, 161, 409, 49, 1447, 3977, 4777, 15553, 3521, 32553, 126385}},
+{9006, 17, 27921, {1, 3, 1, 3, 25, 59, 73, 105, 505, 1009, 1147, 317, 3457, 13743, 8337, 38077, 7709}},
+{9007, 17, 27931, {1, 3, 3, 15, 23, 37, 25, 123, 413, 911, 637, 2345, 691, 15199, 22927, 52467, 126715}},
+{9008, 17, 27933, {1, 1, 5, 1, 9, 51, 93, 123, 269, 45, 1947, 179, 5091, 3743, 31491, 39771, 119175}},
+{9009, 17, 27938, {1, 3, 1, 5, 29, 23, 107, 183, 25, 115, 187, 857, 7337, 469, 8755, 17281, 45941}},
+{9010, 17, 27943, {1, 3, 1, 13, 25, 61, 85, 115, 181, 955, 1365, 837, 5941, 13209, 27009, 58865, 115149}},
+{9011, 17, 27949, {1, 1, 1, 11, 31, 63, 101, 29, 37, 185, 465, 2651, 6249, 6887, 25021, 60539, 50037}},
+{9012, 17, 28005, {1, 3, 1, 7, 7, 61, 57, 243, 143, 223, 1759, 4085, 6765, 13293, 31929, 29579, 35053}},
+{9013, 17, 28012, {1, 3, 1, 3, 29, 9, 121, 3, 285, 199, 1439, 3151, 5059, 8535, 17049, 38917, 46347}},
+{9014, 17, 28017, {1, 3, 1, 3, 17, 43, 63, 87, 427, 341, 1251, 3775, 7729, 3183, 10579, 917, 49035}},
+{9015, 17, 28024, {1, 1, 7, 3, 5, 59, 119, 227, 495, 345, 841, 2021, 2483, 15987, 24663, 9819, 33009}},
+{9016, 17, 28030, {1, 1, 5, 11, 19, 57, 23, 181, 63, 991, 1, 2927, 4785, 9645, 17435, 55627, 1069}},
+{9017, 17, 28034, {1, 1, 7, 1, 31, 11, 57, 123, 279, 815, 1407, 3509, 3963, 8503, 20345, 7777, 103701}},
+{9018, 17, 28045, {1, 1, 5, 5, 19, 51, 37, 15, 363, 939, 1863, 3485, 7073, 3035, 31279, 7289, 39811}},
+{9019, 17, 28048, {1, 1, 3, 3, 3, 41, 29, 37, 311, 535, 1993, 3937, 309, 13055, 22595, 59641, 95317}},
+{9020, 17, 28054, {1, 3, 7, 9, 19, 29, 23, 181, 503, 223, 1655, 997, 7861, 5867, 16979, 4559, 7447}},
+{9021, 17, 28063, {1, 3, 5, 3, 13, 13, 3, 137, 361, 101, 1005, 2339, 609, 11891, 15245, 9653, 63579}},
+{9022, 17, 28069, {1, 1, 1, 15, 31, 15, 117, 151, 51, 805, 1403, 3243, 4007, 11979, 3945, 61935, 43225}},
+{9023, 17, 28070, {1, 1, 7, 3, 1, 43, 93, 105, 9, 555, 731, 655, 2097, 8015, 27557, 27985, 11323}},
+{9024, 17, 28073, {1, 3, 3, 9, 23, 35, 59, 217, 437, 755, 685, 1431, 2965, 5269, 25621, 21735, 1397}},
+{9025, 17, 28084, {1, 1, 5, 1, 9, 61, 41, 53, 101, 111, 531, 3385, 4771, 9535, 15995, 29687, 99035}},
+{9026, 17, 28096, {1, 1, 7, 7, 1, 3, 25, 251, 463, 99, 677, 1889, 3697, 5579, 11429, 38301, 57917}},
+{9027, 17, 28114, {1, 1, 5, 9, 11, 15, 65, 31, 369, 825, 1229, 1595, 3891, 5235, 16973, 25307, 7805}},
+{9028, 17, 28126, {1, 3, 7, 15, 27, 37, 35, 103, 393, 781, 1713, 2009, 1973, 15461, 6801, 17557, 105139}},
+{9029, 17, 28141, {1, 3, 7, 7, 17, 51, 83, 29, 113, 173, 1733, 2137, 3041, 11361, 15999, 25779, 112493}},
+{9030, 17, 28149, {1, 3, 5, 11, 19, 3, 89, 103, 449, 375, 437, 4077, 889, 12163, 29323, 48845, 7783}},
+{9031, 17, 28165, {1, 3, 7, 1, 19, 25, 83, 35, 203, 27, 507, 25, 6629, 13941, 6187, 17533, 83349}},
+{9032, 17, 28177, {1, 3, 5, 9, 15, 59, 3, 87, 473, 733, 1263, 1733, 4275, 9283, 32535, 20807, 59487}},
+{9033, 17, 28189, {1, 3, 3, 9, 19, 11, 27, 83, 355, 949, 1339, 171, 921, 14171, 16271, 41485, 20405}},
+{9034, 17, 28190, {1, 1, 3, 11, 25, 51, 9, 241, 367, 519, 1895, 429, 7689, 9469, 32709, 46363, 75767}},
+{9035, 17, 28203, {1, 1, 7, 7, 27, 59, 85, 87, 467, 273, 1763, 391, 451, 16165, 7501, 44779, 68281}},
+{9036, 17, 28206, {1, 1, 7, 5, 1, 35, 5, 217, 31, 145, 1151, 2255, 3543, 401, 17141, 5981, 25183}},
+{9037, 17, 28208, {1, 1, 1, 13, 11, 11, 19, 93, 95, 751, 31, 1091, 2733, 10517, 2553, 5247, 42651}},
+{9038, 17, 28220, {1, 3, 7, 5, 15, 1, 67, 21, 303, 137, 355, 1989, 5211, 4985, 645, 6867, 126931}},
+{9039, 17, 28226, {1, 1, 3, 15, 21, 23, 59, 209, 121, 623, 575, 2447, 6149, 10481, 4959, 22913, 64963}},
+{9040, 17, 28231, {1, 3, 1, 1, 25, 55, 47, 95, 215, 609, 639, 1023, 1579, 5953, 3063, 13721, 17607}},
+{9041, 17, 28249, {1, 1, 1, 11, 7, 61, 127, 173, 307, 623, 453, 3827, 4847, 16085, 4407, 4043, 14881}},
+{9042, 17, 28256, {1, 1, 7, 11, 5, 15, 51, 125, 439, 795, 203, 91, 3543, 6925, 32055, 52277, 26841}},
+{9043, 17, 28259, {1, 1, 1, 13, 15, 9, 107, 183, 391, 751, 243, 1105, 8031, 7443, 137, 45695, 80163}},
+{9044, 17, 28265, {1, 3, 5, 9, 5, 61, 117, 113, 121, 291, 225, 1705, 4017, 13113, 11035, 28613, 25927}},
+{9045, 17, 28266, {1, 1, 3, 11, 27, 9, 45, 85, 309, 991, 1639, 1183, 8013, 14587, 7563, 21111, 48497}},
+{9046, 17, 28271, {1, 3, 1, 9, 21, 61, 123, 189, 265, 593, 163, 3681, 2271, 2795, 753, 48019, 129507}},
+{9047, 17, 28274, {1, 1, 1, 5, 31, 51, 127, 79, 333, 177, 1723, 1365, 2055, 3063, 10693, 61223, 60659}},
+{9048, 17, 28280, {1, 3, 7, 15, 9, 11, 11, 223, 31, 397, 319, 3283, 3765, 4729, 4711, 58323, 114063}},
+{9049, 17, 28296, {1, 1, 7, 11, 7, 63, 107, 215, 19, 491, 131, 2491, 6373, 11081, 2159, 1311, 109547}},
+{9050, 17, 28316, {1, 3, 5, 5, 21, 13, 105, 21, 193, 447, 1331, 2439, 4165, 15689, 21273, 4007, 55161}},
+{9051, 17, 28319, {1, 3, 5, 11, 19, 47, 25, 211, 335, 437, 1041, 2093, 7239, 2869, 18273, 40505, 13681}},
+{9052, 17, 28343, {1, 3, 3, 15, 7, 13, 127, 59, 439, 163, 1841, 1945, 4915, 16269, 18315, 15057, 43197}},
+{9053, 17, 28344, {1, 1, 3, 3, 15, 33, 101, 241, 131, 353, 1749, 3965, 1231, 8167, 9309, 40337, 4419}},
+{9054, 17, 28357, {1, 3, 1, 1, 1, 43, 33, 129, 137, 889, 799, 2937, 3633, 4769, 2411, 56059, 585}},
+{9055, 17, 28358, {1, 1, 3, 9, 25, 31, 45, 199, 229, 175, 1099, 1143, 1721, 11811, 22757, 59843, 117813}},
+{9056, 17, 28364, {1, 1, 7, 7, 19, 45, 43, 101, 219, 209, 1169, 599, 5523, 2463, 15161, 16675, 85111}},
+{9057, 17, 28370, {1, 1, 3, 15, 23, 27, 91, 51, 397, 705, 651, 2345, 3875, 10005, 29523, 42805, 76891}},
+{9058, 17, 28372, {1, 3, 3, 5, 29, 49, 17, 233, 149, 821, 1953, 1931, 7127, 957, 6477, 21259, 126657}},
+{9059, 17, 28379, {1, 3, 3, 3, 27, 49, 57, 145, 143, 1, 583, 3987, 651, 12285, 20139, 51063, 21449}},
+{9060, 17, 28388, {1, 1, 3, 5, 29, 61, 41, 93, 277, 111, 395, 2929, 5325, 15183, 3981, 23799, 72781}},
+{9061, 17, 28392, {1, 1, 7, 5, 25, 43, 85, 137, 401, 261, 1183, 3959, 1983, 16209, 30523, 429, 109181}},
+{9062, 17, 28395, {1, 1, 1, 5, 7, 19, 79, 237, 373, 929, 907, 1771, 6991, 211, 5269, 2135, 32051}},
+{9063, 17, 28406, {1, 1, 7, 5, 17, 15, 41, 49, 363, 15, 1483, 1017, 2439, 11713, 19983, 26275, 11945}},
+{9064, 17, 28418, {1, 1, 7, 7, 19, 5, 55, 15, 15, 573, 1075, 3225, 6815, 11893, 18417, 50833, 71903}},
+{9065, 17, 28423, {1, 1, 7, 9, 23, 37, 75, 3, 477, 291, 37, 1861, 2697, 13369, 24573, 27285, 96757}},
+{9066, 17, 28435, {1, 1, 1, 13, 5, 29, 65, 195, 365, 465, 865, 2705, 5249, 7051, 3795, 56611, 72317}},
+{9067, 17, 28444, {1, 1, 3, 9, 19, 9, 85, 239, 509, 313, 1137, 2221, 5475, 71, 11901, 1877, 68701}},
+{9068, 17, 28454, {1, 3, 3, 7, 3, 53, 55, 223, 441, 159, 933, 2573, 3441, 3295, 25005, 29021, 97145}},
+{9069, 17, 28468, {1, 3, 5, 5, 3, 11, 101, 181, 293, 319, 47, 2971, 387, 4697, 26613, 8531, 20461}},
+{9070, 17, 28477, {1, 3, 3, 13, 17, 11, 41, 233, 455, 353, 1817, 3065, 4657, 1717, 3039, 10937, 107085}},
+{9071, 17, 28478, {1, 1, 7, 1, 17, 23, 85, 5, 291, 725, 1791, 3525, 7705, 6561, 25311, 44679, 21419}},
+{9072, 17, 28480, {1, 1, 7, 1, 23, 41, 97, 117, 435, 261, 2007, 965, 6913, 12245, 25723, 8445, 30871}},
+{9073, 17, 28486, {1, 1, 1, 15, 29, 39, 101, 33, 55, 1019, 1431, 2601, 3837, 14873, 11785, 12449, 30815}},
+{9074, 17, 28489, {1, 1, 5, 3, 15, 35, 101, 7, 479, 535, 1875, 2435, 1461, 13967, 2755, 45879, 93561}},
+{9075, 17, 28500, {1, 3, 1, 5, 29, 57, 89, 209, 473, 289, 1843, 2051, 3997, 1753, 18179, 41355, 89301}},
+{9076, 17, 28507, {1, 3, 1, 11, 17, 45, 47, 57, 109, 309, 1009, 653, 5175, 15599, 21617, 35353, 55253}},
+{9077, 17, 28519, {1, 3, 5, 3, 1, 11, 57, 83, 385, 765, 1887, 785, 2115, 8689, 14783, 14841, 122221}},
+{9078, 17, 28523, {1, 3, 5, 11, 11, 5, 77, 115, 189, 371, 887, 3653, 8159, 15737, 6763, 52807, 128841}},
+{9079, 17, 28534, {1, 1, 1, 11, 11, 33, 9, 145, 439, 565, 171, 3867, 7149, 4369, 15073, 3277, 25873}},
+{9080, 17, 28547, {1, 1, 3, 1, 11, 9, 17, 255, 129, 835, 1705, 1551, 877, 4831, 12717, 2549, 62723}},
+{9081, 17, 28549, {1, 1, 7, 11, 17, 33, 21, 195, 143, 153, 1855, 1323, 1225, 16359, 16479, 8883, 76449}},
+{9082, 17, 28562, {1, 1, 1, 5, 31, 23, 61, 53, 77, 465, 1983, 4019, 4865, 14721, 18601, 48179, 100453}},
+{9083, 17, 28571, {1, 3, 1, 13, 19, 53, 83, 63, 165, 393, 469, 1465, 2669, 10155, 7029, 26185, 121223}},
+{9084, 17, 28583, {1, 1, 1, 3, 3, 3, 123, 23, 45, 359, 1063, 847, 3943, 6113, 23749, 30323, 10583}},
+{9085, 17, 28584, {1, 3, 5, 15, 1, 55, 65, 149, 139, 217, 141, 2425, 7019, 14127, 11725, 50821, 52643}},
+{9086, 17, 28595, {1, 3, 5, 15, 13, 13, 15, 93, 457, 869, 117, 585, 7159, 5957, 15073, 21861, 118119}},
+{9087, 17, 28597, {1, 3, 1, 15, 3, 31, 29, 245, 47, 895, 197, 1169, 945, 11503, 26615, 14079, 27175}},
+{9088, 17, 28604, {1, 3, 5, 5, 31, 1, 107, 109, 253, 999, 1451, 2243, 6675, 10779, 26181, 64597, 16443}},
+{9089, 17, 28607, {1, 3, 7, 15, 9, 53, 25, 41, 151, 197, 1955, 2365, 5305, 2901, 24825, 9595, 57377}},
+{9090, 17, 28609, {1, 3, 1, 3, 25, 37, 37, 193, 417, 373, 1127, 3239, 4583, 2861, 14501, 64163, 30055}},
+{9091, 17, 28612, {1, 3, 7, 9, 7, 21, 49, 231, 241, 95, 1757, 2281, 2679, 1611, 11115, 31743, 26851}},
+{9092, 17, 28630, {1, 3, 5, 5, 1, 1, 23, 173, 195, 593, 1639, 1449, 4733, 2451, 12677, 31959, 128217}},
+{9093, 17, 28640, {1, 1, 1, 7, 17, 49, 117, 253, 167, 721, 889, 3027, 7781, 13521, 15477, 17981, 95487}},
+{9094, 17, 28669, {1, 1, 1, 15, 13, 47, 125, 9, 33, 567, 1733, 1263, 307, 10285, 6325, 55827, 39823}},
+{9095, 17, 28677, {1, 1, 1, 15, 23, 3, 11, 169, 369, 667, 313, 2287, 6655, 16067, 5915, 8605, 92177}},
+{9096, 17, 28682, {1, 3, 3, 15, 13, 21, 125, 111, 171, 785, 79, 2281, 1247, 11321, 30397, 28555, 84863}},
+{9097, 17, 28690, {1, 1, 5, 13, 1, 31, 123, 97, 127, 245, 1213, 2381, 3545, 13545, 28657, 54087, 79039}},
+{9098, 17, 28695, {1, 1, 7, 9, 9, 21, 87, 111, 27, 33, 843, 199, 1465, 6555, 8019, 39521, 98883}},
+{9099, 17, 28696, {1, 3, 3, 5, 5, 55, 61, 219, 279, 207, 1811, 667, 2989, 3133, 25213, 51979, 87695}},
+{9100, 17, 28717, {1, 1, 7, 3, 17, 11, 31, 97, 277, 385, 229, 3045, 557, 13521, 32733, 36831, 43003}},
+{9101, 17, 28730, {1, 3, 5, 13, 27, 57, 31, 207, 147, 405, 1495, 2471, 4889, 14861, 4861, 28185, 62363}},
+{9102, 17, 28737, {1, 1, 5, 13, 23, 19, 5, 21, 509, 299, 1077, 1747, 6229, 2375, 17903, 58473, 72637}},
+{9103, 17, 28752, {1, 3, 7, 11, 15, 61, 63, 165, 27, 461, 1359, 3375, 3029, 9907, 17393, 11097, 43593}},
+{9104, 17, 28761, {1, 3, 5, 1, 17, 29, 15, 5, 419, 19, 1981, 3169, 2389, 9169, 31697, 26201, 6997}},
+{9105, 17, 28774, {1, 3, 3, 1, 29, 31, 89, 79, 347, 707, 505, 2087, 2163, 5465, 8677, 11421, 93217}},
+{9106, 17, 28783, {1, 3, 7, 9, 3, 23, 75, 215, 7, 971, 925, 3223, 7825, 12347, 19763, 10927, 41245}},
+{9107, 17, 28791, {1, 3, 5, 5, 3, 43, 119, 79, 373, 761, 709, 1897, 3953, 13895, 13421, 16939, 112449}},
+{9108, 17, 28801, {1, 1, 3, 15, 11, 25, 65, 101, 315, 1005, 1319, 1163, 161, 15331, 4845, 40375, 121361}},
+{9109, 17, 28802, {1, 1, 3, 7, 1, 57, 63, 131, 145, 1007, 549, 2327, 1513, 3591, 10839, 56297, 80613}},
+{9110, 17, 28814, {1, 1, 3, 5, 1, 19, 79, 81, 505, 945, 65, 319, 6105, 5491, 13257, 4651, 48247}},
+{9111, 17, 28837, {1, 3, 1, 9, 27, 41, 61, 41, 421, 707, 1279, 3699, 2403, 4075, 16947, 53435, 2917}},
+{9112, 17, 28838, {1, 1, 5, 13, 11, 29, 35, 141, 313, 769, 749, 4025, 2597, 12197, 32265, 32159, 37003}},
+{9113, 17, 28842, {1, 3, 7, 11, 25, 63, 121, 15, 273, 877, 637, 409, 5001, 4723, 27985, 55501, 43495}},
+{9114, 17, 28844, {1, 3, 1, 13, 27, 29, 127, 65, 275, 967, 1723, 4007, 6147, 13277, 8361, 12305, 95433}},
+{9115, 17, 28849, {1, 3, 3, 13, 11, 45, 7, 101, 169, 361, 517, 2897, 4283, 7587, 7495, 31549, 29113}},
+{9116, 17, 28864, {1, 3, 3, 1, 9, 27, 65, 15, 279, 127, 1039, 829, 5739, 1949, 24789, 30433, 54503}},
+{9117, 17, 28867, {1, 3, 7, 5, 13, 19, 95, 133, 25, 271, 1527, 3571, 101, 15987, 10985, 55761, 39833}},
+{9118, 17, 28881, {1, 3, 5, 9, 27, 5, 37, 219, 249, 947, 1063, 4081, 1763, 15003, 23753, 3975, 109803}},
+{9119, 17, 28882, {1, 3, 3, 5, 21, 37, 35, 145, 323, 573, 1939, 885, 4645, 4515, 16815, 28783, 76017}},
+{9120, 17, 28893, {1, 3, 7, 13, 27, 41, 39, 123, 423, 949, 1487, 2207, 8069, 15337, 20671, 20163, 70667}},
+{9121, 17, 28903, {1, 1, 3, 3, 15, 29, 69, 15, 151, 729, 35, 2067, 6715, 12759, 27611, 54133, 16561}},
+{9122, 17, 28907, {1, 3, 7, 13, 21, 13, 7, 161, 327, 339, 535, 2059, 413, 11161, 18415, 12415, 63713}},
+{9123, 17, 28909, {1, 3, 5, 5, 23, 49, 9, 181, 417, 339, 1013, 1707, 5097, 13319, 18951, 56415, 14397}},
+{9124, 17, 28921, {1, 1, 5, 7, 29, 23, 117, 159, 287, 695, 71, 2393, 2655, 6417, 24349, 20441, 77987}},
+{9125, 17, 28927, {1, 1, 5, 7, 31, 23, 81, 125, 145, 141, 1459, 4095, 713, 1817, 9263, 21025, 91983}},
+{9126, 17, 28929, {1, 1, 1, 9, 17, 23, 91, 39, 459, 299, 1951, 3229, 6229, 3267, 15883, 31719, 96573}},
+{9127, 17, 28935, {1, 1, 1, 15, 3, 51, 9, 7, 455, 653, 1447, 153, 8117, 723, 2177, 9107, 7757}},
+{9128, 17, 28941, {1, 3, 1, 15, 27, 47, 49, 245, 499, 807, 175, 1653, 1693, 3931, 27479, 30095, 62353}},
+{9129, 17, 28942, {1, 1, 5, 5, 23, 7, 15, 193, 499, 193, 201, 2771, 4153, 11533, 25883, 23337, 126685}},
+{9130, 17, 28954, {1, 1, 1, 7, 9, 43, 125, 181, 425, 557, 1401, 2593, 1933, 6803, 20021, 32687, 126465}},
+{9131, 17, 28959, {1, 3, 3, 13, 27, 19, 99, 29, 395, 765, 1137, 2963, 7397, 9695, 19259, 27965, 83157}},
+{9132, 17, 28960, {1, 3, 7, 7, 17, 29, 7, 241, 5, 281, 1489, 1599, 5567, 4579, 7739, 41413, 110571}},
+{9133, 17, 28990, {1, 3, 3, 9, 7, 5, 83, 1, 231, 1003, 631, 2557, 831, 6495, 30409, 53519, 79331}},
+{9134, 17, 28992, {1, 1, 5, 1, 7, 49, 45, 241, 201, 551, 1645, 2003, 1455, 3317, 23639, 7841, 100765}},
+{9135, 17, 29004, {1, 3, 5, 13, 25, 47, 103, 37, 81, 263, 1143, 801, 5863, 6871, 8615, 57363, 90161}},
+{9136, 17, 29010, {1, 3, 7, 11, 27, 23, 119, 211, 473, 207, 605, 637, 3369, 7287, 27827, 25003, 65925}},
+{9137, 17, 29012, {1, 3, 1, 15, 27, 31, 97, 247, 75, 893, 1099, 3609, 6807, 4393, 10253, 62759, 89971}},
+{9138, 17, 29021, {1, 1, 7, 15, 27, 19, 43, 59, 419, 263, 387, 3193, 5589, 4197, 19143, 64749, 103093}},
+{9139, 17, 29035, {1, 1, 7, 11, 21, 51, 97, 227, 251, 869, 1927, 2331, 7741, 8207, 12885, 13267, 17945}},
+{9140, 17, 29040, {1, 1, 7, 7, 5, 53, 41, 147, 75, 709, 607, 1073, 2853, 8081, 12797, 5279, 86083}},
+{9141, 17, 29059, {1, 1, 5, 5, 15, 21, 77, 189, 269, 595, 197, 3117, 5073, 14277, 26867, 49505, 75755}},
+{9142, 17, 29068, {1, 3, 5, 15, 13, 55, 1, 223, 135, 367, 735, 3139, 4851, 9773, 11699, 19081, 26011}},
+{9143, 17, 29080, {1, 3, 5, 7, 9, 3, 89, 103, 321, 727, 1809, 3527, 6881, 2399, 13593, 27867, 16219}},
+{9144, 17, 29086, {1, 3, 3, 1, 23, 5, 53, 51, 403, 753, 2037, 1261, 7575, 2725, 11341, 18533, 98767}},
+{9145, 17, 29089, {1, 1, 1, 11, 1, 13, 37, 141, 477, 689, 1789, 1913, 5753, 6069, 6965, 55209, 77329}},
+{9146, 17, 29090, {1, 3, 7, 3, 17, 59, 79, 249, 381, 163, 1773, 1645, 7295, 2359, 21889, 28429, 117073}},
+{9147, 17, 29095, {1, 3, 5, 15, 7, 45, 59, 3, 93, 259, 1257, 2967, 1175, 10171, 873, 51423, 67437}},
+{9148, 17, 29113, {1, 1, 7, 13, 17, 33, 53, 217, 159, 683, 1169, 3363, 4591, 3959, 10089, 35443, 99677}},
+{9149, 17, 29127, {1, 3, 7, 9, 3, 1, 5, 171, 17, 635, 369, 1529, 4861, 4977, 29303, 42357, 69309}},
+{9150, 17, 29131, {1, 3, 7, 9, 21, 17, 77, 127, 105, 427, 525, 1123, 2365, 7487, 6315, 64773, 122747}},
+{9151, 17, 29148, {1, 1, 1, 15, 19, 63, 65, 83, 219, 987, 169, 2589, 3809, 8807, 22473, 6479, 44617}},
+{9152, 17, 29161, {1, 3, 1, 7, 11, 51, 107, 19, 379, 191, 1013, 3145, 1501, 11871, 14111, 18269, 98247}},
+{9153, 17, 29172, {1, 1, 7, 5, 17, 63, 23, 231, 423, 855, 1955, 907, 4553, 16173, 7701, 40329, 42047}},
+{9154, 17, 29179, {1, 3, 7, 1, 7, 45, 103, 127, 185, 721, 1035, 839, 691, 6823, 23819, 50781, 92767}},
+{9155, 17, 29188, {1, 1, 1, 3, 9, 21, 57, 253, 285, 85, 1227, 365, 2347, 7491, 15183, 8619, 108819}},
+{9156, 17, 29192, {1, 1, 3, 15, 27, 13, 5, 85, 45, 1009, 1315, 1749, 2797, 3941, 19367, 50855, 60693}},
+{9157, 17, 29195, {1, 3, 5, 15, 29, 63, 115, 197, 317, 601, 711, 377, 7489, 4247, 4843, 56549, 108447}},
+{9158, 17, 29206, {1, 3, 7, 15, 11, 25, 7, 145, 371, 395, 1743, 267, 2609, 15707, 13909, 55031, 71115}},
+{9159, 17, 29210, {1, 3, 1, 1, 1, 53, 111, 245, 433, 309, 245, 15, 2091, 9051, 11095, 31821, 104535}},
+{9160, 17, 29215, {1, 3, 1, 15, 25, 31, 99, 89, 259, 595, 1095, 3681, 5105, 8671, 23663, 29717, 126429}},
+{9161, 17, 29221, {1, 3, 7, 7, 5, 31, 15, 59, 109, 527, 257, 1785, 6799, 1283, 11741, 34589, 102397}},
+{9162, 17, 29222, {1, 3, 3, 15, 9, 27, 55, 35, 291, 587, 1281, 779, 4615, 373, 24037, 64671, 124019}},
+{9163, 17, 29236, {1, 1, 5, 5, 13, 51, 49, 19, 37, 857, 539, 1291, 6021, 8645, 30351, 33839, 111515}},
+{9164, 17, 29246, {1, 1, 5, 13, 3, 47, 9, 197, 19, 337, 2025, 3003, 7179, 5755, 31187, 59317, 69753}},
+{9165, 17, 29248, {1, 1, 7, 3, 3, 43, 11, 3, 123, 29, 857, 3349, 791, 11157, 23967, 33729, 28445}},
+{9166, 17, 29253, {1, 1, 5, 1, 1, 11, 73, 231, 173, 925, 331, 161, 3303, 11015, 17507, 21271, 56865}},
+{9167, 17, 29272, {1, 1, 3, 9, 21, 21, 115, 145, 421, 981, 1789, 3343, 7591, 12043, 5795, 17737, 106501}},
+{9168, 17, 29288, {1, 1, 7, 13, 7, 15, 51, 75, 497, 637, 1073, 1505, 5613, 1415, 30861, 26159, 79573}},
+{9169, 17, 29293, {1, 1, 3, 15, 17, 35, 17, 129, 169, 283, 1383, 149, 211, 1381, 22205, 28367, 831}},
+{9170, 17, 29294, {1, 3, 5, 5, 17, 11, 127, 183, 503, 499, 2011, 2721, 2717, 3105, 4731, 60319, 9361}},
+{9171, 17, 29308, {1, 1, 1, 7, 27, 55, 77, 203, 255, 761, 1159, 2915, 4479, 13671, 19757, 65497, 4461}},
+{9172, 17, 29318, {1, 3, 1, 9, 9, 51, 67, 205, 445, 35, 371, 1837, 3623, 10365, 19463, 59005, 3185}},
+{9173, 17, 29321, {1, 3, 7, 3, 23, 5, 51, 141, 293, 489, 263, 2187, 1259, 2729, 1779, 61027, 53931}},
+{9174, 17, 29322, {1, 1, 1, 15, 27, 7, 15, 109, 475, 839, 175, 953, 4531, 437, 22475, 24167, 19051}},
+{9175, 17, 29339, {1, 1, 7, 9, 25, 23, 41, 107, 299, 115, 1713, 1559, 5701, 5427, 28813, 39913, 15941}},
+{9176, 17, 29365, {1, 3, 5, 7, 5, 25, 99, 9, 307, 591, 1303, 3501, 1589, 12095, 26629, 52127, 60635}},
+{9177, 17, 29369, {1, 3, 7, 3, 9, 23, 3, 29, 113, 49, 1601, 541, 1415, 11601, 19165, 46595, 111623}},
+{9178, 17, 29372, {1, 1, 3, 11, 5, 53, 37, 153, 51, 41, 1267, 545, 2055, 13137, 7749, 30721, 119591}},
+{9179, 17, 29377, {1, 3, 5, 11, 1, 15, 65, 17, 155, 65, 745, 2547, 6351, 2347, 13553, 5785, 129857}},
+{9180, 17, 29392, {1, 3, 7, 13, 5, 53, 11, 59, 453, 467, 1275, 3669, 4481, 5229, 2953, 23369, 100161}},
+{9181, 17, 29401, {1, 3, 1, 1, 13, 41, 91, 179, 331, 547, 1571, 1787, 6467, 12375, 4579, 45023, 119149}},
+{9182, 17, 29402, {1, 3, 3, 5, 17, 55, 105, 57, 227, 323, 1517, 1215, 3149, 13919, 18595, 5525, 82445}},
+{9183, 17, 29418, {1, 3, 1, 13, 19, 23, 17, 239, 81, 481, 1625, 2003, 7295, 2185, 7021, 19357, 37867}},
+{9184, 17, 29437, {1, 3, 5, 9, 11, 15, 61, 223, 153, 139, 2023, 2579, 495, 14319, 2835, 26541, 113115}},
+{9185, 17, 29445, {1, 1, 3, 13, 29, 9, 13, 149, 325, 87, 697, 2345, 2205, 5069, 9939, 61351, 127313}},
+{9186, 17, 29446, {1, 1, 7, 11, 13, 53, 45, 197, 167, 551, 439, 3715, 4587, 8549, 28193, 35827, 96721}},
+{9187, 17, 29460, {1, 3, 1, 1, 17, 7, 31, 205, 219, 739, 1165, 243, 3877, 15943, 15207, 43857, 120565}},
+{9188, 17, 29467, {1, 3, 7, 9, 7, 43, 81, 203, 295, 553, 279, 2717, 9, 751, 24715, 21591, 11485}},
+{9189, 17, 29473, {1, 1, 1, 11, 15, 17, 41, 121, 355, 157, 955, 3875, 7595, 235, 4937, 20607, 11401}},
+{9190, 17, 29476, {1, 1, 7, 7, 13, 49, 33, 161, 65, 251, 1895, 2665, 3017, 9725, 10797, 46313, 43407}},
+{9191, 17, 29488, {1, 1, 3, 9, 23, 17, 127, 69, 385, 875, 461, 3305, 3001, 5875, 13547, 61239, 113571}},
+{9192, 17, 29511, {1, 3, 7, 5, 15, 47, 113, 131, 465, 89, 733, 433, 799, 5689, 723, 63479, 106945}},
+{9193, 17, 29512, {1, 3, 3, 15, 29, 1, 51, 115, 317, 1021, 1219, 1797, 4005, 10435, 28935, 49467, 66833}},
+{9194, 17, 29517, {1, 1, 3, 11, 15, 9, 51, 209, 477, 479, 1099, 2781, 5525, 12715, 9067, 18317, 121671}},
+{9195, 17, 29523, {1, 3, 1, 7, 19, 35, 61, 27, 479, 815, 1639, 2825, 7449, 13697, 3079, 49833, 35119}},
+{9196, 17, 29526, {1, 3, 7, 3, 17, 53, 95, 155, 505, 185, 717, 3419, 3857, 2369, 14525, 22797, 38553}},
+{9197, 17, 29535, {1, 3, 1, 13, 27, 5, 11, 21, 507, 65, 39, 2841, 7887, 2783, 18767, 34171, 40527}},
+{9198, 17, 29539, {1, 3, 1, 7, 9, 47, 69, 217, 251, 775, 631, 1967, 5541, 10679, 16439, 33533, 57817}},
+{9199, 17, 29545, {1, 1, 5, 11, 27, 57, 103, 255, 359, 745, 63, 3725, 4113, 10943, 7833, 46857, 99239}},
+{9200, 17, 29559, {1, 3, 1, 5, 31, 41, 69, 245, 401, 451, 959, 351, 6999, 6187, 21437, 55067, 53547}},
+{9201, 17, 29560, {1, 1, 1, 13, 25, 49, 85, 181, 457, 731, 743, 1901, 7013, 12027, 14729, 24193, 89685}},
+{9202, 17, 29589, {1, 3, 3, 1, 31, 29, 101, 137, 117, 135, 345, 1419, 7133, 2695, 3631, 53049, 45875}},
+{9203, 17, 29593, {1, 1, 1, 13, 11, 51, 95, 221, 339, 655, 201, 3007, 8179, 8093, 22399, 59123, 127319}},
+{9204, 17, 29599, {1, 3, 7, 3, 31, 37, 23, 199, 191, 649, 817, 1959, 893, 2333, 21477, 29087, 115667}},
+{9205, 17, 29603, {1, 3, 3, 5, 9, 55, 123, 67, 39, 533, 797, 2575, 3955, 14585, 28587, 13079, 60053}},
+{9206, 17, 29610, {1, 3, 1, 1, 17, 19, 15, 219, 185, 21, 967, 667, 3361, 3883, 8059, 26199, 80913}},
+{9207, 17, 29629, {1, 3, 3, 11, 23, 5, 99, 57, 379, 151, 271, 3735, 7087, 12731, 2949, 54831, 37835}},
+{9208, 17, 29644, {1, 3, 1, 7, 21, 25, 9, 195, 497, 585, 901, 19, 7675, 13611, 31155, 14567, 20545}},
+{9209, 17, 29656, {1, 1, 3, 3, 27, 45, 51, 169, 397, 531, 673, 2935, 3779, 7169, 23479, 16157, 100237}},
+{9210, 17, 29662, {1, 1, 1, 1, 19, 49, 3, 75, 455, 805, 591, 1929, 2883, 2797, 31379, 12025, 120929}},
+{9211, 17, 29675, {1, 3, 5, 3, 17, 39, 115, 93, 341, 329, 1857, 2753, 4923, 12539, 25589, 19437, 29027}},
+{9212, 17, 29692, {1, 3, 5, 9, 27, 37, 21, 235, 499, 369, 1341, 3719, 6819, 3153, 30619, 50901, 52999}},
+{9213, 17, 29704, {1, 3, 1, 11, 3, 55, 43, 219, 83, 771, 783, 3569, 7879, 2363, 30605, 5965, 126855}},
+{9214, 17, 29707, {1, 3, 7, 13, 7, 25, 111, 63, 355, 317, 1579, 1523, 2733, 11963, 25205, 20545, 67389}},
+{9215, 17, 29715, {1, 3, 5, 7, 3, 17, 55, 99, 321, 633, 2013, 1991, 1019, 9223, 21117, 23337, 90589}},
+{9216, 17, 29717, {1, 3, 1, 1, 17, 25, 79, 171, 303, 403, 2037, 2595, 3951, 8021, 8669, 9363, 20345}},
+{9217, 17, 29722, {1, 1, 1, 7, 13, 7, 11, 7, 347, 53, 1763, 3097, 3353, 3769, 22947, 20919, 92247}},
+{9218, 17, 29731, {1, 3, 5, 11, 19, 29, 91, 191, 511, 705, 1317, 3367, 7, 4999, 30251, 18299, 66983}},
+{9219, 17, 29740, {1, 1, 3, 7, 19, 17, 71, 77, 285, 189, 853, 2305, 4205, 15603, 15501, 48073, 11411}},
+{9220, 17, 29743, {1, 3, 7, 5, 21, 15, 47, 13, 277, 969, 1861, 3493, 6723, 11521, 22145, 43779, 44713}},
+{9221, 17, 29752, {1, 1, 3, 5, 19, 47, 51, 207, 229, 957, 709, 267, 8081, 611, 26403, 14871, 111841}},
+{9222, 17, 29760, {1, 3, 7, 1, 19, 43, 71, 73, 405, 351, 1131, 3527, 5949, 14363, 20041, 48123, 68123}},
+{9223, 17, 29766, {1, 3, 3, 7, 23, 51, 81, 13, 161, 453, 365, 1089, 3505, 12359, 14277, 56113, 19717}},
+{9224, 17, 29770, {1, 1, 1, 7, 29, 35, 103, 137, 317, 417, 1465, 2787, 6935, 9885, 12943, 43937, 28353}},
+{9225, 17, 29794, {1, 1, 3, 13, 19, 37, 97, 5, 115, 89, 1005, 3033, 2011, 2633, 10615, 6641, 73385}},
+{9226, 17, 29796, {1, 3, 7, 7, 31, 39, 107, 165, 61, 1009, 1159, 865, 3469, 11093, 10425, 43959, 37395}},
+{9227, 17, 29814, {1, 3, 5, 9, 7, 51, 99, 91, 37, 457, 39, 2455, 7481, 4929, 29755, 50603, 48943}},
+{9228, 17, 29817, {1, 1, 5, 13, 5, 39, 47, 149, 341, 303, 843, 3619, 7527, 8739, 5893, 42623, 99899}},
+{9229, 17, 29829, {1, 1, 1, 1, 1, 41, 73, 71, 409, 351, 131, 515, 6657, 337, 23913, 583, 21665}},
+{9230, 17, 29841, {1, 1, 3, 3, 11, 45, 39, 113, 315, 965, 1605, 2779, 501, 7429, 2567, 7011, 71445}},
+{9231, 17, 29851, {1, 3, 7, 13, 21, 13, 45, 105, 385, 281, 1683, 3997, 6391, 10943, 22349, 37261, 57555}},
+{9232, 17, 29860, {1, 1, 3, 5, 17, 55, 109, 71, 393, 561, 433, 1091, 1923, 13861, 12981, 5523, 15467}},
+{9233, 17, 29864, {1, 3, 7, 5, 17, 11, 113, 119, 37, 989, 1609, 2191, 1511, 11835, 25423, 793, 15227}},
+{9234, 17, 29869, {1, 3, 1, 5, 5, 55, 105, 225, 349, 351, 1259, 1309, 821, 2733, 1357, 3665, 38863}},
+{9235, 17, 29870, {1, 3, 5, 1, 23, 61, 49, 113, 169, 319, 85, 1581, 97, 5271, 30625, 37693, 7297}},
+{9236, 17, 29889, {1, 3, 5, 1, 1, 25, 31, 125, 307, 731, 1815, 1047, 7251, 12481, 20781, 63275, 51985}},
+{9237, 17, 29896, {1, 3, 5, 9, 11, 9, 121, 111, 45, 751, 793, 2593, 6409, 4355, 30183, 36959, 105161}},
+{9238, 17, 29901, {1, 1, 3, 9, 25, 37, 95, 253, 401, 481, 1521, 3555, 231, 15459, 1581, 36661, 121727}},
+{9239, 17, 29913, {1, 3, 5, 3, 27, 11, 107, 115, 213, 813, 27, 1789, 603, 383, 1129, 63365, 51147}},
+{9240, 17, 29919, {1, 1, 3, 13, 25, 7, 33, 1, 97, 907, 35, 4069, 5001, 507, 911, 62037, 22019}},
+{9241, 17, 29920, {1, 1, 3, 5, 7, 55, 35, 95, 261, 217, 1565, 3473, 3475, 12181, 569, 27389, 81771}},
+{9242, 17, 29947, {1, 1, 3, 5, 11, 33, 95, 121, 453, 711, 361, 3927, 5231, 15685, 31143, 56915, 23707}},
+{9243, 17, 29958, {1, 1, 3, 11, 25, 15, 53, 155, 469, 647, 1547, 335, 3753, 12873, 13639, 25129, 79287}},
+{9244, 17, 29975, {1, 3, 3, 3, 1, 21, 21, 121, 105, 903, 83, 2287, 4295, 14369, 29183, 26841, 38115}},
+{9245, 17, 29981, {1, 1, 7, 11, 5, 29, 65, 191, 389, 419, 1315, 739, 3485, 10587, 2399, 36377, 28789}},
+{9246, 17, 29985, {1, 3, 3, 11, 3, 29, 71, 169, 265, 747, 395, 1211, 3487, 15705, 25611, 18183, 85771}},
+{9247, 17, 29998, {1, 1, 7, 3, 23, 5, 45, 47, 337, 571, 33, 1221, 5671, 1233, 28361, 36945, 911}},
+{9248, 17, 30010, {1, 1, 5, 11, 17, 15, 57, 97, 185, 999, 1277, 3371, 2785, 3341, 13395, 11925, 86777}},
+{9249, 17, 30012, {1, 1, 3, 1, 31, 37, 23, 105, 503, 869, 1309, 3733, 4629, 8263, 11763, 30669, 26179}},
+{9250, 17, 30044, {1, 1, 3, 15, 25, 61, 37, 27, 325, 413, 809, 2959, 8137, 3397, 21185, 27995, 84297}},
+{9251, 17, 30048, {1, 3, 5, 5, 1, 55, 95, 41, 493, 469, 331, 1789, 7037, 7947, 14239, 16109, 51795}},
+{9252, 17, 30051, {1, 1, 1, 1, 19, 33, 111, 237, 261, 331, 871, 3539, 1731, 6953, 11345, 37901, 5623}},
+{9253, 17, 30063, {1, 1, 5, 7, 21, 41, 49, 179, 49, 797, 231, 1299, 145, 7743, 725, 60595, 19581}},
+{9254, 17, 30065, {1, 3, 7, 15, 7, 43, 67, 219, 133, 641, 1657, 2301, 1591, 12309, 6395, 3999, 92961}},
+{9255, 17, 30072, {1, 1, 1, 5, 1, 49, 37, 81, 219, 323, 461, 1379, 1797, 14825, 21811, 7347, 35643}},
+{9256, 17, 30077, {1, 1, 1, 11, 1, 3, 83, 31, 307, 83, 1169, 3277, 1875, 13397, 20265, 46707, 15205}},
+{9257, 17, 30087, {1, 3, 7, 11, 29, 41, 69, 33, 405, 991, 1937, 1217, 2137, 8657, 4319, 41119, 43371}},
+{9258, 17, 30088, {1, 3, 3, 3, 25, 49, 107, 197, 347, 923, 1585, 3023, 4087, 13875, 22015, 35733, 33755}},
+{9259, 17, 30101, {1, 3, 3, 5, 15, 61, 89, 249, 141, 853, 1469, 999, 7425, 10015, 12341, 51535, 61619}},
+{9260, 17, 30112, {1, 1, 7, 13, 31, 61, 89, 113, 117, 429, 1011, 1589, 1419, 5083, 4843, 26759, 47401}},
+{9261, 17, 30121, {1, 1, 7, 9, 17, 37, 119, 39, 499, 93, 1155, 3069, 2033, 12483, 29849, 40077, 11103}},
+{9262, 17, 30122, {1, 3, 1, 15, 11, 5, 23, 121, 283, 717, 1573, 3911, 2031, 2617, 20387, 33157, 301}},
+{9263, 17, 30130, {1, 3, 5, 7, 17, 61, 109, 3, 205, 617, 1171, 223, 6609, 15027, 2629, 15801, 73749}},
+{9264, 17, 30135, {1, 1, 3, 7, 5, 49, 9, 73, 333, 401, 675, 2765, 993, 77, 19237, 60929, 88703}},
+{9265, 17, 30139, {1, 1, 1, 9, 21, 25, 53, 249, 241, 43, 1959, 545, 3729, 11395, 3027, 12661, 87729}},
+{9266, 17, 30142, {1, 3, 3, 15, 15, 61, 33, 59, 155, 773, 1043, 3111, 6549, 5397, 29099, 57851, 107671}},
+{9267, 17, 30164, {1, 3, 7, 1, 29, 29, 1, 161, 273, 883, 1913, 2389, 401, 9425, 17613, 50443, 84601}},
+{9268, 17, 30167, {1, 3, 7, 11, 15, 63, 41, 53, 371, 153, 1491, 3013, 6635, 4955, 30145, 20175, 16541}},
+{9269, 17, 30180, {1, 3, 3, 11, 31, 27, 127, 207, 11, 313, 1067, 3445, 3075, 4071, 28305, 58911, 85273}},
+{9270, 17, 30202, {1, 1, 7, 11, 17, 47, 77, 119, 209, 657, 1181, 459, 5821, 4267, 5757, 53703, 35621}},
+{9271, 17, 30211, {1, 3, 1, 15, 27, 41, 3, 217, 457, 531, 1749, 2847, 4715, 11451, 25071, 53999, 93503}},
+{9272, 17, 30214, {1, 3, 5, 3, 19, 29, 9, 177, 355, 265, 883, 1113, 2397, 1819, 20757, 50389, 95551}},
+{9273, 17, 30217, {1, 1, 3, 15, 3, 45, 85, 211, 377, 293, 1791, 1193, 1117, 9383, 28039, 27155, 129513}},
+{9274, 17, 30223, {1, 1, 7, 5, 1, 17, 59, 215, 161, 933, 1653, 2407, 2693, 3655, 7515, 2239, 88985}},
+{9275, 17, 30228, {1, 1, 3, 11, 31, 3, 1, 77, 459, 817, 651, 603, 1711, 9391, 20607, 48195, 127153}},
+{9276, 17, 30235, {1, 1, 5, 13, 11, 49, 25, 13, 51, 443, 1877, 1257, 163, 4673, 30313, 18841, 24547}},
+{9277, 17, 30256, {1, 1, 7, 7, 15, 33, 43, 79, 127, 625, 1991, 1311, 2095, 14659, 3477, 56023, 57955}},
+{9278, 17, 30265, {1, 3, 7, 15, 29, 7, 119, 183, 123, 323, 1723, 959, 2733, 2097, 2927, 57595, 86067}},
+{9279, 17, 30286, {1, 3, 5, 5, 29, 57, 93, 139, 495, 739, 1715, 713, 243, 2027, 11223, 44143, 119155}},
+{9280, 17, 30293, {1, 3, 1, 9, 3, 63, 113, 29, 19, 439, 869, 1101, 4947, 2191, 14737, 57049, 93505}},
+{9281, 17, 30298, {1, 1, 7, 1, 11, 39, 27, 29, 281, 829, 1979, 2185, 2207, 14969, 7447, 55541, 59593}},
+{9282, 17, 30310, {1, 1, 7, 13, 11, 15, 15, 143, 383, 469, 1439, 2823, 7489, 7675, 15433, 26203, 80433}},
+{9283, 17, 30314, {1, 1, 1, 7, 15, 45, 23, 93, 477, 1, 1431, 3173, 7879, 12211, 13051, 56971, 114289}},
+{9284, 17, 30327, {1, 3, 1, 1, 27, 55, 61, 185, 323, 569, 1063, 1357, 7373, 14947, 15967, 64517, 104625}},
+{9285, 17, 30333, {1, 1, 5, 11, 25, 1, 127, 163, 419, 657, 911, 361, 3675, 10765, 24565, 2661, 61979}},
+{9286, 17, 30334, {1, 3, 7, 15, 29, 53, 29, 149, 465, 535, 1865, 2243, 4783, 9327, 24843, 52313, 15683}},
+{9287, 17, 30337, {1, 1, 7, 7, 17, 7, 85, 187, 91, 1013, 1917, 2959, 3571, 12047, 25267, 34095, 9877}},
+{9288, 17, 30338, {1, 1, 1, 7, 5, 27, 111, 107, 313, 571, 1081, 3193, 1025, 2589, 1523, 40453, 77065}},
+{9289, 17, 30344, {1, 3, 7, 1, 19, 27, 1, 103, 479, 405, 583, 1737, 3495, 9093, 20397, 16429, 45609}},
+{9290, 17, 30349, {1, 1, 3, 11, 17, 1, 125, 97, 261, 651, 901, 1245, 1181, 14469, 16229, 31935, 100227}},
+{9291, 17, 30352, {1, 1, 7, 11, 15, 1, 19, 151, 453, 833, 1371, 1109, 5373, 25, 5619, 58351, 26349}},
+{9292, 17, 30362, {1, 1, 7, 15, 17, 55, 51, 67, 123, 13, 1873, 1035, 5871, 11943, 11543, 43261, 62587}},
+{9293, 17, 30374, {1, 3, 1, 13, 21, 15, 83, 205, 333, 379, 2021, 1389, 861, 10395, 20587, 38207, 49109}},
+{9294, 17, 30380, {1, 1, 5, 3, 13, 49, 89, 85, 463, 1005, 1367, 3487, 581, 12145, 22445, 35343, 65745}},
+{9295, 17, 30388, {1, 3, 3, 3, 29, 27, 99, 195, 89, 793, 1677, 3989, 4811, 8303, 9165, 50349, 96947}},
+{9296, 17, 30391, {1, 1, 3, 5, 29, 11, 91, 107, 13, 659, 213, 1613, 2245, 11567, 28157, 2937, 53275}},
+{9297, 17, 30395, {1, 3, 7, 5, 3, 41, 65, 27, 93, 747, 1143, 505, 3881, 2123, 2903, 54137, 96185}},
+{9298, 17, 30403, {1, 1, 3, 15, 9, 49, 3, 25, 77, 681, 1709, 915, 2243, 2127, 18243, 13915, 67399}},
+{9299, 17, 30409, {1, 3, 5, 7, 13, 49, 89, 67, 63, 271, 1651, 897, 4035, 1067, 13743, 56791, 44371}},
+{9300, 17, 30424, {1, 1, 7, 9, 25, 19, 125, 15, 125, 705, 1359, 817, 1241, 12447, 19097, 33209, 89091}},
+{9301, 17, 30427, {1, 3, 7, 3, 19, 43, 127, 197, 39, 709, 257, 3547, 3069, 1187, 21255, 6453, 40763}},
+{9302, 17, 30430, {1, 3, 3, 5, 3, 53, 37, 65, 415, 183, 991, 533, 7805, 9905, 18925, 52665, 100987}},
+{9303, 17, 30451, {1, 3, 3, 11, 17, 41, 17, 137, 143, 277, 945, 1531, 7427, 7287, 30869, 27651, 116507}},
+{9304, 17, 30460, {1, 1, 1, 3, 13, 3, 9, 163, 113, 373, 1909, 1051, 97, 10729, 28615, 40081, 129297}},
+{9305, 17, 30475, {1, 3, 3, 9, 11, 47, 113, 27, 307, 339, 1319, 3083, 7383, 1551, 26691, 28769, 114313}},
+{9306, 17, 30480, {1, 3, 7, 7, 25, 49, 31, 231, 485, 629, 59, 283, 7463, 6603, 23055, 63643, 10121}},
+{9307, 17, 30485, {1, 3, 7, 9, 5, 55, 53, 127, 147, 103, 1697, 485, 7051, 14153, 21631, 35561, 10393}},
+{9308, 17, 30486, {1, 3, 3, 7, 23, 7, 83, 17, 135, 487, 315, 719, 7003, 3919, 13255, 24031, 110493}},
+{9309, 17, 30489, {1, 3, 1, 15, 27, 55, 121, 177, 205, 733, 933, 1535, 2925, 4259, 22203, 59059, 89209}},
+{9310, 17, 30492, {1, 1, 1, 11, 9, 11, 127, 47, 493, 349, 1415, 3089, 4739, 14347, 31579, 20739, 72997}},
+{9311, 17, 30499, {1, 3, 1, 7, 9, 31, 121, 111, 163, 733, 1699, 1507, 5467, 13499, 25269, 6303, 70201}},
+{9312, 17, 30511, {1, 3, 1, 5, 7, 23, 123, 203, 329, 387, 577, 2331, 2283, 14029, 19409, 103, 2477}},
+{9313, 17, 30533, {1, 1, 7, 15, 11, 29, 29, 153, 289, 333, 1669, 2065, 5465, 8835, 28753, 21209, 34283}},
+{9314, 17, 30534, {1, 3, 5, 11, 15, 33, 45, 81, 241, 461, 1167, 1073, 5511, 795, 30955, 49121, 42805}},
+{9315, 17, 30540, {1, 1, 1, 13, 7, 33, 11, 201, 161, 475, 1359, 2329, 177, 9883, 8967, 21399, 73045}},
+{9316, 17, 30545, {1, 3, 3, 1, 25, 59, 85, 51, 481, 751, 1213, 3019, 421, 9903, 30071, 50661, 94715}},
+{9317, 17, 30552, {1, 3, 3, 1, 5, 61, 3, 179, 131, 233, 1627, 3577, 6323, 14161, 21595, 44963, 20215}},
+{9318, 17, 30557, {1, 1, 1, 5, 9, 53, 45, 105, 275, 769, 105, 2757, 6769, 14987, 19955, 18291, 81707}},
+{9319, 17, 30558, {1, 1, 7, 1, 1, 59, 33, 19, 385, 775, 423, 1799, 1325, 13545, 16027, 58347, 102397}},
+{9320, 17, 30567, {1, 1, 3, 11, 15, 61, 63, 59, 355, 659, 1483, 3781, 7383, 5563, 32537, 34175, 40303}},
+{9321, 17, 30568, {1, 3, 5, 7, 5, 37, 19, 223, 323, 129, 287, 2655, 3767, 16201, 4147, 315, 54885}},
+{9322, 17, 30581, {1, 1, 7, 13, 13, 23, 43, 129, 405, 205, 1691, 2189, 3313, 11789, 10263, 16367, 65547}},
+{9323, 17, 30597, {1, 3, 5, 1, 15, 21, 85, 233, 427, 71, 475, 3731, 3335, 11483, 28613, 4335, 35669}},
+{9324, 17, 30607, {1, 1, 3, 3, 31, 47, 27, 109, 373, 451, 1459, 3103, 1941, 10405, 20233, 30517, 122787}},
+{9325, 17, 30621, {1, 3, 1, 7, 3, 11, 113, 49, 355, 465, 1959, 1355, 6521, 10863, 11481, 13385, 31787}},
+{9326, 17, 30632, {1, 3, 1, 1, 9, 45, 125, 69, 267, 413, 717, 2767, 833, 317, 23019, 37753, 3081}},
+{9327, 17, 30650, {1, 1, 7, 7, 13, 55, 75, 105, 71, 505, 239, 3739, 4873, 4257, 18841, 41711, 24045}},
+{9328, 17, 30655, {1, 1, 5, 13, 21, 59, 107, 229, 421, 441, 1079, 3727, 7941, 8443, 30433, 56419, 105751}},
+{9329, 17, 30657, {1, 1, 1, 9, 15, 59, 29, 49, 117, 1009, 1971, 115, 2899, 1069, 29145, 11855, 35277}},
+{9330, 17, 30660, {1, 3, 7, 15, 19, 55, 111, 77, 169, 537, 1695, 2687, 3871, 14017, 15119, 27313, 112807}},
+{9331, 17, 30669, {1, 1, 3, 7, 29, 5, 41, 201, 211, 127, 1877, 643, 2441, 8743, 29393, 6077, 52597}},
+{9332, 17, 30675, {1, 3, 1, 11, 7, 1, 95, 15, 229, 339, 475, 3463, 7827, 9943, 30903, 65013, 1145}},
+{9333, 17, 30678, {1, 1, 1, 5, 23, 19, 81, 23, 475, 169, 373, 1147, 1805, 12779, 13173, 8945, 28175}},
+{9334, 17, 30682, {1, 3, 5, 9, 3, 53, 127, 33, 237, 803, 121, 307, 4981, 8765, 12761, 23601, 92921}},
+{9335, 17, 30687, {1, 1, 3, 7, 17, 63, 11, 37, 213, 619, 1095, 1693, 6747, 7373, 17355, 5987, 97923}},
+{9336, 17, 30688, {1, 1, 3, 15, 11, 37, 109, 175, 503, 339, 591, 2745, 2387, 7419, 13915, 4769, 48229}},
+{9337, 17, 30698, {1, 3, 5, 7, 19, 17, 5, 81, 471, 989, 249, 437, 7309, 5747, 25277, 31911, 87907}},
+{9338, 17, 30711, {1, 3, 1, 7, 15, 25, 49, 243, 423, 911, 1957, 911, 6331, 9831, 26021, 58877, 99257}},
+{9339, 17, 30728, {1, 3, 5, 11, 3, 55, 39, 129, 271, 145, 1973, 3391, 2905, 9229, 7989, 15641, 67933}},
+{9340, 17, 30733, {1, 3, 5, 9, 13, 13, 43, 135, 183, 319, 1391, 2953, 2207, 14205, 31203, 6329, 98907}},
+{9341, 17, 30741, {1, 3, 1, 9, 27, 41, 27, 155, 11, 191, 1747, 975, 7043, 13139, 30387, 47099, 120321}},
+{9342, 17, 30746, {1, 1, 5, 9, 25, 27, 53, 235, 437, 77, 371, 2413, 4867, 14245, 27199, 37387, 88217}},
+{9343, 17, 30752, {1, 1, 7, 7, 11, 59, 103, 15, 109, 65, 1987, 3695, 7737, 7341, 26963, 16075, 6301}},
+{9344, 17, 30764, {1, 3, 7, 5, 7, 59, 109, 159, 121, 377, 1851, 3983, 5421, 7633, 7321, 14869, 54633}},
+{9345, 17, 30769, {1, 1, 3, 15, 21, 51, 35, 243, 397, 411, 1107, 3689, 7913, 14715, 26349, 23361, 90665}},
+{9346, 17, 30784, {1, 1, 1, 3, 5, 11, 77, 205, 187, 981, 1969, 1749, 6295, 8267, 16073, 54451, 103603}},
+{9347, 17, 30796, {1, 3, 3, 9, 11, 13, 113, 83, 243, 1021, 2003, 2277, 6457, 10535, 13461, 52741, 9385}},
+{9348, 17, 30799, {1, 3, 3, 11, 19, 9, 103, 13, 219, 269, 1805, 2689, 5219, 11497, 4909, 57985, 40141}},
+{9349, 17, 30804, {1, 1, 1, 1, 29, 25, 15, 217, 69, 567, 839, 1515, 3627, 9837, 21433, 37177, 10487}},
+{9350, 17, 30811, {1, 1, 7, 15, 15, 23, 119, 217, 277, 447, 551, 825, 7571, 3083, 16573, 1189, 64959}},
+{9351, 17, 30814, {1, 1, 3, 11, 9, 13, 63, 77, 313, 195, 941, 1621, 165, 8905, 20265, 53761, 25091}},
+{9352, 17, 30818, {1, 3, 3, 9, 17, 5, 9, 183, 175, 1015, 253, 233, 2883, 15587, 27175, 38517, 22707}},
+{9353, 17, 30827, {1, 3, 3, 11, 23, 63, 83, 17, 49, 671, 749, 3249, 7821, 7189, 26735, 28995, 101737}},
+{9354, 17, 30838, {1, 1, 7, 5, 25, 15, 97, 247, 161, 585, 1307, 3803, 1105, 9093, 23523, 1383, 65671}},
+{9355, 17, 30842, {1, 1, 3, 15, 29, 51, 65, 237, 349, 709, 799, 1425, 6267, 6283, 4773, 18123, 74833}},
+{9356, 17, 30854, {1, 1, 5, 5, 11, 13, 9, 251, 373, 189, 467, 945, 7279, 11349, 10917, 6581, 83967}},
+{9357, 17, 30863, {1, 1, 7, 15, 23, 27, 1, 197, 41, 325, 757, 1229, 6295, 345, 26147, 40135, 123063}},
+{9358, 17, 30865, {1, 1, 7, 9, 23, 9, 93, 225, 191, 837, 103, 3367, 5411, 8289, 7057, 55391, 10669}},
+{9359, 17, 30877, {1, 1, 5, 15, 21, 17, 49, 221, 487, 23, 1943, 1563, 6157, 4035, 27769, 14933, 56913}},
+{9360, 17, 30881, {1, 1, 5, 13, 13, 43, 67, 245, 457, 365, 1115, 2205, 6229, 4173, 25167, 56333, 55605}},
+{9361, 17, 30887, {1, 1, 5, 11, 15, 59, 109, 83, 17, 913, 497, 1299, 5221, 321, 32139, 13717, 94311}},
+{9362, 17, 30908, {1, 3, 3, 3, 31, 11, 5, 203, 3, 843, 2039, 25, 6211, 14927, 6015, 46269, 90369}},
+{9363, 17, 30916, {1, 1, 3, 9, 21, 51, 91, 203, 149, 147, 197, 1771, 2921, 6609, 2343, 35249, 12963}},
+{9364, 17, 30919, {1, 3, 1, 7, 17, 43, 91, 229, 107, 521, 737, 2355, 5855, 6707, 21217, 47041, 81833}},
+{9365, 17, 30925, {1, 3, 3, 7, 7, 31, 97, 135, 503, 665, 1799, 2937, 6867, 4125, 7375, 34401, 18111}},
+{9366, 17, 30928, {1, 1, 7, 1, 11, 29, 89, 185, 495, 633, 507, 3727, 5999, 5871, 5911, 24877, 10259}},
+{9367, 17, 30944, {1, 1, 1, 13, 25, 3, 25, 65, 91, 411, 147, 3699, 7003, 3017, 25635, 56619, 101491}},
+{9368, 17, 30947, {1, 3, 5, 7, 31, 1, 63, 255, 115, 179, 87, 735, 1649, 4767, 31093, 60149, 49829}},
+{9369, 17, 30950, {1, 1, 3, 1, 21, 63, 67, 85, 399, 279, 1963, 1759, 4679, 15423, 11533, 54387, 36563}},
+{9370, 17, 30968, {1, 3, 5, 3, 31, 53, 73, 73, 481, 443, 1393, 2763, 1199, 5375, 8977, 5369, 114603}},
+{9371, 17, 30971, {1, 1, 1, 3, 29, 47, 73, 205, 469, 187, 815, 2787, 1431, 4705, 11455, 53643, 89269}},
+{9372, 17, 30973, {1, 3, 3, 9, 27, 57, 93, 55, 287, 539, 1259, 3279, 1563, 11399, 22975, 27077, 41031}},
+{9373, 17, 30976, {1, 1, 3, 15, 7, 27, 67, 25, 169, 263, 621, 1921, 509, 11715, 15363, 27447, 75535}},
+{9374, 17, 30986, {1, 1, 1, 9, 29, 63, 31, 99, 321, 361, 1693, 763, 5593, 10815, 741, 31257, 70843}},
+{9375, 17, 30993, {1, 1, 1, 9, 1, 17, 73, 141, 401, 549, 415, 1289, 1697, 1903, 8919, 59563, 60017}},
+{9376, 17, 30994, {1, 3, 7, 3, 5, 51, 127, 221, 9, 929, 153, 1045, 6587, 13653, 5343, 14043, 116125}},
+{9377, 17, 31012, {1, 3, 3, 13, 13, 17, 29, 93, 465, 59, 1207, 3121, 6331, 8647, 5047, 41869, 51969}},
+{9378, 17, 31016, {1, 1, 1, 15, 23, 29, 47, 149, 119, 855, 367, 1419, 7739, 1141, 19787, 38185, 84403}},
+{9379, 17, 31029, {1, 3, 1, 9, 29, 63, 5, 63, 435, 401, 1023, 1981, 6819, 7547, 30065, 33833, 7471}},
+{9380, 17, 31039, {1, 3, 1, 15, 1, 47, 35, 161, 243, 225, 935, 2179, 7737, 7841, 28523, 11505, 103741}},
+{9381, 17, 31041, {1, 1, 7, 3, 7, 57, 73, 55, 101, 905, 1705, 4057, 3781, 8213, 18997, 17185, 33265}},
+{9382, 17, 31042, {1, 1, 5, 1, 7, 57, 31, 77, 323, 395, 927, 1969, 6973, 9013, 30789, 757, 84075}},
+{9383, 17, 31044, {1, 1, 3, 7, 15, 53, 51, 205, 401, 679, 1295, 1955, 7739, 11423, 23207, 55449, 60419}},
+{9384, 17, 31053, {1, 3, 5, 11, 23, 21, 67, 141, 157, 767, 219, 3607, 1847, 11051, 31499, 8461, 106353}},
+{9385, 17, 31059, {1, 1, 3, 9, 17, 19, 123, 169, 1, 31, 1019, 1823, 6043, 1895, 17293, 62079, 16945}},
+{9386, 17, 31062, {1, 3, 5, 9, 3, 15, 49, 27, 183, 293, 989, 2161, 1845, 1103, 20149, 11121, 31935}},
+{9387, 17, 31077, {1, 3, 1, 3, 17, 39, 103, 45, 491, 91, 413, 487, 1381, 5457, 22503, 40477, 94297}},
+{9388, 17, 31095, {1, 1, 3, 7, 29, 11, 87, 79, 349, 437, 945, 3753, 6691, 4373, 24875, 54397, 33697}},
+{9389, 17, 31101, {1, 1, 7, 1, 9, 31, 105, 121, 97, 947, 129, 1909, 2371, 5493, 29523, 52685, 24325}},
+{9390, 17, 31105, {1, 1, 5, 9, 19, 21, 63, 115, 511, 525, 49, 1879, 6075, 8181, 10135, 56785, 53309}},
+{9391, 17, 31118, {1, 1, 5, 15, 3, 55, 75, 135, 451, 697, 1407, 2765, 2443, 11589, 24863, 47187, 98477}},
+{9392, 17, 31129, {1, 1, 1, 13, 27, 37, 77, 157, 121, 603, 491, 2201, 619, 9157, 32511, 19843, 49919}},
+{9393, 17, 31132, {1, 1, 3, 1, 23, 17, 23, 115, 119, 349, 987, 2587, 1847, 12099, 31955, 31685, 1989}},
+{9394, 17, 31141, {1, 3, 7, 7, 5, 47, 63, 209, 69, 921, 1041, 1391, 7485, 11121, 30993, 5691, 74551}},
+{9395, 17, 31159, {1, 3, 1, 3, 23, 61, 55, 253, 355, 299, 971, 279, 3543, 10073, 5199, 50539, 88303}},
+{9396, 17, 31183, {1, 1, 1, 11, 13, 19, 7, 255, 189, 267, 2021, 93, 219, 10537, 28627, 58141, 53675}},
+{9397, 17, 31185, {1, 3, 3, 7, 27, 61, 83, 95, 163, 777, 1533, 2485, 7211, 6979, 4013, 20797, 91411}},
+{9398, 17, 31195, {1, 1, 7, 13, 15, 37, 5, 109, 133, 225, 59, 3855, 3351, 659, 24321, 63531, 15573}},
+{9399, 17, 31202, {1, 1, 5, 1, 7, 55, 59, 213, 45, 77, 2003, 2921, 1105, 11089, 17197, 45459, 67681}},
+{9400, 17, 31213, {1, 1, 1, 5, 13, 21, 107, 245, 505, 409, 1453, 1201, 6945, 2103, 7377, 59413, 8785}},
+{9401, 17, 31238, {1, 1, 1, 13, 5, 37, 73, 55, 39, 219, 225, 3877, 6583, 3105, 25355, 14839, 23435}},
+{9402, 17, 31241, {1, 1, 7, 1, 21, 35, 87, 227, 487, 767, 609, 1685, 2731, 10135, 381, 24021, 122137}},
+{9403, 17, 31252, {1, 1, 1, 3, 29, 13, 19, 255, 355, 505, 1757, 3537, 3029, 11403, 22685, 61169, 397}},
+{9404, 17, 31262, {1, 1, 7, 1, 29, 43, 11, 207, 83, 97, 435, 1453, 4709, 4193, 18517, 47203, 3255}},
+{9405, 17, 31265, {1, 1, 1, 1, 21, 49, 39, 163, 459, 849, 561, 1207, 4109, 1435, 17519, 14839, 1331}},
+{9406, 17, 31295, {1, 1, 3, 11, 27, 35, 65, 219, 135, 559, 1111, 2959, 7835, 5165, 26641, 22765, 121829}},
+{9407, 17, 31300, {1, 3, 5, 3, 23, 31, 57, 149, 431, 451, 189, 1771, 5877, 3503, 7531, 46485, 129031}},
+{9408, 17, 31303, {1, 1, 3, 11, 1, 13, 47, 17, 331, 1003, 215, 2797, 689, 6289, 12719, 37139, 35827}},
+{9409, 17, 31317, {1, 3, 5, 9, 19, 13, 11, 29, 275, 165, 783, 313, 2153, 6009, 2247, 5699, 128753}},
+{9410, 17, 31318, {1, 1, 7, 13, 5, 43, 51, 75, 411, 743, 335, 217, 559, 15389, 6567, 41193, 127443}},
+{9411, 17, 31324, {1, 3, 5, 15, 5, 63, 7, 145, 445, 835, 825, 35, 5951, 5121, 16365, 36789, 2941}},
+{9412, 17, 31338, {1, 3, 5, 5, 29, 1, 61, 19, 427, 245, 445, 3505, 3647, 8817, 8031, 64577, 60745}},
+{9413, 17, 31340, {1, 1, 3, 9, 29, 9, 35, 225, 55, 535, 1537, 831, 6483, 16123, 26079, 32809, 62227}},
+{9414, 17, 31345, {1, 3, 7, 7, 25, 33, 15, 61, 343, 749, 1963, 2763, 3171, 6755, 6529, 49449, 88903}},
+{9415, 17, 31355, {1, 1, 7, 13, 17, 35, 91, 119, 87, 1023, 1101, 1785, 2005, 15947, 21679, 63179, 3389}},
+{9416, 17, 31362, {1, 3, 1, 1, 1, 1, 123, 195, 315, 681, 153, 1621, 5097, 3669, 20505, 39305, 127065}},
+{9417, 17, 31371, {1, 1, 5, 11, 1, 17, 73, 251, 185, 59, 1723, 2321, 2103, 6331, 29571, 63811, 66651}},
+{9418, 17, 31373, {1, 1, 7, 13, 15, 19, 111, 91, 211, 85, 711, 2197, 3107, 2717, 16725, 52995, 65791}},
+{9419, 17, 31381, {1, 3, 3, 9, 21, 41, 53, 145, 459, 155, 93, 2833, 6747, 737, 30625, 40581, 65825}},
+{9420, 17, 31391, {1, 3, 3, 3, 1, 45, 119, 81, 185, 431, 1221, 3043, 7277, 10537, 12355, 42261, 126117}},
+{9421, 17, 31409, {1, 3, 7, 7, 11, 47, 37, 41, 123, 643, 707, 2963, 6183, 15527, 10951, 24031, 38187}},
+{9422, 17, 31410, {1, 3, 1, 7, 13, 57, 1, 149, 117, 627, 1999, 2805, 4857, 12805, 31453, 25699, 109447}},
+{9423, 17, 31412, {1, 3, 5, 3, 9, 37, 83, 221, 77, 573, 661, 465, 1279, 7355, 24061, 36151, 96595}},
+{9424, 17, 31434, {1, 1, 7, 15, 29, 31, 125, 205, 449, 563, 1263, 3427, 8013, 14025, 15235, 11833, 25601}},
+{9425, 17, 31458, {1, 3, 7, 11, 31, 35, 99, 193, 163, 527, 1455, 395, 4853, 2561, 11909, 57311, 101007}},
+{9426, 17, 31467, {1, 1, 5, 3, 17, 39, 99, 173, 497, 245, 1671, 3457, 83, 11959, 2963, 3401, 102259}},
+{9427, 17, 31470, {1, 1, 1, 5, 25, 41, 119, 81, 301, 797, 661, 2543, 1195, 2111, 1785, 41533, 51947}},
+{9428, 17, 31475, {1, 3, 3, 13, 5, 59, 61, 153, 213, 541, 1849, 249, 3897, 3877, 17095, 6857, 76781}},
+{9429, 17, 31481, {1, 3, 7, 1, 19, 13, 57, 47, 359, 165, 1085, 2263, 3261, 12825, 17405, 25853, 20731}},
+{9430, 17, 31482, {1, 1, 1, 7, 7, 43, 7, 65, 51, 503, 173, 1023, 283, 14809, 1183, 33497, 110683}},
+{9431, 17, 31484, {1, 3, 5, 11, 19, 51, 29, 157, 159, 191, 1293, 2951, 6569, 12433, 14587, 30631, 30485}},
+{9432, 17, 31492, {1, 3, 7, 5, 1, 27, 25, 221, 255, 471, 779, 3991, 6985, 1803, 28451, 33403, 5567}},
+{9433, 17, 31507, {1, 1, 5, 5, 7, 29, 55, 241, 457, 863, 1715, 3393, 4127, 13985, 6313, 13683, 114837}},
+{9434, 17, 31514, {1, 3, 5, 5, 11, 27, 55, 109, 247, 199, 1593, 2881, 307, 97, 24751, 35921, 121931}},
+{9435, 17, 31538, {1, 3, 1, 13, 3, 59, 17, 161, 47, 467, 1019, 3629, 3017, 15645, 3983, 32393, 79213}},
+{9436, 17, 31547, {1, 1, 3, 11, 19, 57, 67, 199, 319, 107, 2043, 2045, 4025, 5733, 29979, 37721, 117031}},
+{9437, 17, 31549, {1, 3, 7, 11, 9, 23, 31, 81, 177, 801, 1177, 3451, 7777, 15351, 7579, 39033, 23847}},
+{9438, 17, 31555, {1, 1, 3, 5, 17, 61, 63, 7, 371, 905, 1147, 1383, 4075, 6721, 17503, 32015, 112547}},
+{9439, 17, 31557, {1, 1, 3, 13, 13, 25, 69, 159, 49, 133, 227, 2155, 1603, 10077, 3429, 39131, 18949}},
+{9440, 17, 31597, {1, 3, 5, 3, 29, 5, 115, 93, 243, 791, 1113, 2841, 4733, 3041, 31733, 28539, 84567}},
+{9441, 17, 31598, {1, 3, 3, 7, 21, 9, 5, 95, 489, 517, 1453, 2697, 7951, 12369, 19571, 29811, 51805}},
+{9442, 17, 31610, {1, 1, 5, 9, 1, 29, 97, 191, 73, 357, 745, 2787, 7815, 4565, 19761, 33729, 86849}},
+{9443, 17, 31625, {1, 3, 5, 13, 3, 5, 35, 79, 387, 813, 1673, 3187, 337, 5539, 6761, 46903, 122967}},
+{9444, 17, 31634, {1, 1, 7, 11, 1, 15, 125, 175, 255, 35, 145, 2391, 887, 10505, 11587, 53941, 5089}},
+{9445, 17, 31643, {1, 1, 7, 13, 9, 13, 15, 215, 361, 227, 1665, 3345, 3615, 14031, 16281, 4457, 52037}},
+{9446, 17, 31645, {1, 3, 5, 9, 31, 21, 3, 189, 211, 855, 1781, 2097, 1345, 6763, 27651, 54137, 52689}},
+{9447, 17, 31659, {1, 3, 1, 5, 29, 9, 99, 183, 183, 205, 149, 53, 7179, 3387, 9603, 4281, 47145}},
+{9448, 17, 31669, {1, 3, 1, 11, 13, 35, 97, 21, 29, 877, 191, 1621, 2501, 4283, 1707, 48957, 129029}},
+{9449, 17, 31670, {1, 3, 1, 9, 5, 19, 57, 219, 105, 467, 1179, 3155, 7743, 4835, 14845, 35671, 47655}},
+{9450, 17, 31682, {1, 3, 1, 7, 27, 41, 27, 185, 271, 611, 1173, 2875, 529, 11619, 20231, 18741, 41799}},
+{9451, 17, 31694, {1, 3, 7, 13, 9, 3, 35, 71, 467, 689, 1797, 319, 6657, 13193, 15861, 7567, 12891}},
+{9452, 17, 31717, {1, 1, 7, 13, 19, 57, 25, 141, 195, 995, 859, 811, 4685, 6711, 8963, 49657, 54751}},
+{9453, 17, 31718, {1, 1, 1, 11, 27, 25, 9, 91, 97, 251, 757, 2783, 5447, 3617, 26801, 32501, 55245}},
+{9454, 17, 31729, {1, 3, 7, 1, 5, 1, 103, 129, 127, 593, 857, 3957, 3665, 10279, 26211, 2095, 15869}},
+{9455, 17, 31736, {1, 1, 7, 1, 25, 49, 3, 139, 25, 545, 615, 1353, 4103, 1099, 21729, 45383, 110611}},
+{9456, 17, 31742, {1, 3, 5, 3, 7, 49, 83, 41, 209, 357, 939, 849, 5851, 3945, 831, 8131, 105897}},
+{9457, 17, 31749, {1, 1, 1, 3, 27, 19, 123, 71, 195, 1019, 1021, 1287, 5665, 5277, 8647, 27033, 89539}},
+{9458, 17, 31773, {1, 1, 1, 9, 27, 51, 49, 159, 401, 1013, 763, 653, 1449, 12441, 21191, 28871, 106181}},
+{9459, 17, 31777, {1, 1, 5, 7, 31, 7, 105, 137, 331, 367, 1305, 2761, 863, 3915, 12633, 32251, 82867}},
+{9460, 17, 31778, {1, 3, 7, 11, 9, 47, 35, 57, 137, 269, 443, 79, 11, 11817, 28995, 46681, 104263}},
+{9461, 17, 31784, {1, 3, 1, 5, 3, 25, 89, 179, 183, 835, 367, 2215, 295, 5365, 1899, 10785, 88979}},
+{9462, 17, 31801, {1, 3, 7, 13, 3, 5, 93, 43, 409, 363, 267, 2077, 3745, 445, 25957, 34103, 29475}},
+{9463, 17, 31812, {1, 1, 1, 7, 27, 21, 121, 29, 171, 783, 553, 265, 6835, 3929, 18127, 33463, 70999}},
+{9464, 17, 31821, {1, 3, 3, 15, 15, 55, 13, 1, 297, 935, 1307, 1779, 2239, 15471, 32453, 30649, 45973}},
+{9465, 17, 31822, {1, 3, 7, 5, 25, 41, 3, 171, 347, 607, 1873, 1087, 2433, 8377, 7959, 19941, 117319}},
+{9466, 17, 31836, {1, 1, 1, 3, 5, 47, 107, 69, 431, 63, 325, 1241, 3487, 11249, 28559, 30001, 93789}},
+{9467, 17, 31850, {1, 1, 1, 5, 15, 17, 9, 145, 335, 169, 1099, 3637, 5397, 6711, 16095, 27053, 124247}},
+{9468, 17, 31855, {1, 3, 3, 5, 3, 9, 65, 97, 421, 951, 2003, 2837, 7095, 15685, 5147, 56801, 98679}},
+{9469, 17, 31858, {1, 3, 7, 15, 1, 33, 115, 45, 215, 253, 361, 555, 787, 15483, 25531, 53273, 8933}},
+{9470, 17, 31860, {1, 3, 1, 9, 3, 63, 47, 205, 457, 977, 991, 3189, 1369, 14899, 10937, 56999, 11525}},
+{9471, 17, 31886, {1, 1, 7, 5, 11, 61, 53, 55, 231, 357, 1695, 2489, 2355, 7583, 14097, 50039, 96595}},
+{9472, 17, 31891, {1, 3, 7, 7, 3, 57, 115, 245, 259, 573, 1275, 2971, 1793, 13683, 8683, 51815, 26807}},
+{9473, 17, 31909, {1, 1, 5, 3, 17, 59, 55, 237, 491, 757, 1447, 2941, 2641, 14175, 4401, 4367, 36853}},
+{9474, 17, 31928, {1, 3, 1, 15, 3, 63, 67, 1, 403, 79, 1161, 2379, 3337, 14447, 5877, 40759, 12573}},
+{9475, 17, 31931, {1, 1, 7, 15, 17, 1, 91, 5, 173, 215, 1567, 1851, 3309, 9813, 21215, 19151, 96785}},
+{9476, 17, 31934, {1, 1, 1, 9, 31, 45, 123, 221, 397, 51, 1489, 3247, 923, 10423, 10461, 51231, 92909}},
+{9477, 17, 31941, {1, 1, 1, 13, 27, 17, 105, 163, 403, 193, 1487, 2421, 4415, 14303, 6419, 24105, 29997}},
+{9478, 17, 31942, {1, 1, 5, 13, 31, 55, 17, 125, 341, 219, 401, 1611, 891, 12909, 13949, 46245, 26769}},
+{9479, 17, 31945, {1, 3, 7, 3, 31, 41, 65, 207, 311, 643, 1617, 271, 3749, 14635, 26385, 55251, 50719}},
+{9480, 17, 31951, {1, 3, 3, 13, 7, 55, 69, 241, 413, 399, 137, 2255, 5395, 12625, 26583, 64603, 22571}},
+{9481, 17, 31959, {1, 3, 5, 3, 31, 15, 15, 161, 153, 445, 595, 273, 6631, 12845, 23331, 16963, 52099}},
+{9482, 17, 31963, {1, 3, 3, 1, 27, 39, 71, 41, 455, 841, 831, 1719, 3531, 5113, 29183, 1933, 42227}},
+{9483, 17, 31970, {1, 3, 7, 3, 1, 15, 31, 183, 429, 557, 1747, 1059, 2079, 16361, 29103, 43207, 921}},
+{9484, 17, 31984, {1, 3, 1, 1, 31, 39, 97, 73, 339, 405, 1423, 2215, 5435, 9205, 1889, 58249, 61517}},
+{9485, 17, 31987, {1, 3, 7, 1, 23, 59, 127, 245, 11, 627, 1555, 2497, 6427, 7205, 22675, 62847, 69691}},
+{9486, 17, 31990, {1, 1, 3, 5, 1, 13, 95, 9, 167, 481, 947, 3181, 8057, 5559, 7537, 33757, 72419}},
+{9487, 17, 32001, {1, 1, 7, 3, 15, 9, 105, 205, 287, 375, 115, 1731, 1063, 11551, 12077, 41013, 88853}},
+{9488, 17, 32007, {1, 3, 3, 9, 5, 63, 127, 33, 409, 279, 1379, 4069, 4091, 14703, 27435, 19525, 71261}},
+{9489, 17, 32008, {1, 3, 1, 13, 31, 31, 59, 205, 167, 131, 891, 1259, 6909, 211, 31517, 8085, 112065}},
+{9490, 17, 32025, {1, 1, 5, 11, 17, 25, 119, 77, 449, 569, 381, 825, 2459, 983, 2959, 51611, 90721}},
+{9491, 17, 32035, {1, 3, 1, 7, 17, 55, 91, 231, 133, 541, 499, 3609, 4237, 11627, 30007, 58911, 43443}},
+{9492, 17, 32038, {1, 3, 7, 7, 29, 5, 47, 187, 71, 695, 1389, 2855, 5815, 11605, 3643, 24961, 25793}},
+{9493, 17, 32047, {1, 3, 3, 5, 11, 31, 43, 31, 185, 1021, 795, 3585, 3981, 8627, 18117, 42351, 19513}},
+{9494, 17, 32049, {1, 1, 5, 13, 9, 3, 115, 45, 39, 577, 1847, 653, 2625, 9367, 27923, 35661, 113613}},
+{9495, 17, 32062, {1, 3, 7, 7, 17, 9, 69, 233, 367, 673, 11, 2215, 1177, 4501, 9693, 62013, 45647}},
+{9496, 17, 32067, {1, 3, 5, 7, 7, 53, 11, 227, 465, 843, 2017, 689, 6767, 10321, 25163, 56561, 6865}},
+{9497, 17, 32070, {1, 3, 3, 5, 13, 43, 119, 9, 185, 893, 133, 863, 7137, 6653, 7875, 23167, 13893}},
+{9498, 17, 32073, {1, 3, 5, 9, 1, 47, 17, 85, 273, 901, 493, 2411, 983, 15717, 25151, 21323, 57939}},
+{9499, 17, 32074, {1, 1, 7, 5, 19, 17, 49, 37, 425, 443, 781, 2593, 4929, 12313, 12727, 42285, 88451}},
+{9500, 17, 32079, {1, 3, 3, 11, 9, 53, 17, 67, 237, 463, 1509, 2153, 3715, 7909, 21151, 64517, 87695}},
+{9501, 17, 32081, {1, 3, 7, 1, 29, 39, 25, 83, 413, 1005, 2011, 3933, 2911, 7041, 10537, 23135, 22671}},
+{9502, 17, 32082, {1, 1, 3, 9, 23, 61, 117, 33, 431, 181, 1819, 683, 1809, 1723, 27041, 29113, 99347}},
+{9503, 17, 32107, {1, 1, 5, 11, 11, 7, 101, 181, 51, 857, 923, 3495, 7123, 7775, 30081, 48513, 116137}},
+{9504, 17, 32127, {1, 1, 3, 11, 15, 31, 97, 127, 365, 799, 715, 2101, 6081, 11607, 1055, 35027, 62967}},
+{9505, 17, 32145, {1, 3, 5, 7, 3, 31, 109, 247, 225, 221, 1093, 2633, 1847, 7427, 8767, 16581, 32145}},
+{9506, 17, 32151, {1, 3, 1, 7, 15, 23, 43, 109, 327, 417, 1895, 2333, 6265, 6599, 6623, 47375, 92731}},
+{9507, 17, 32152, {1, 3, 7, 1, 29, 29, 45, 217, 163, 941, 1327, 3685, 5481, 15783, 26281, 60339, 34277}},
+{9508, 17, 32173, {1, 1, 7, 11, 1, 7, 119, 201, 29, 193, 1805, 1395, 267, 2011, 637, 26765, 48883}},
+{9509, 17, 32174, {1, 1, 3, 7, 11, 63, 41, 89, 365, 729, 25, 3185, 2143, 1737, 29693, 7443, 78079}},
+{9510, 17, 32186, {1, 3, 1, 13, 25, 27, 63, 233, 79, 1007, 1357, 679, 7581, 8333, 2469, 31787, 128531}},
+{9511, 17, 32194, {1, 3, 1, 3, 23, 39, 53, 99, 219, 475, 931, 507, 3615, 10613, 14663, 1151, 123459}},
+{9512, 17, 32196, {1, 1, 1, 1, 13, 15, 67, 45, 393, 791, 415, 2731, 1151, 8935, 28983, 7239, 106247}},
+{9513, 17, 32200, {1, 3, 7, 7, 11, 35, 95, 153, 421, 193, 1997, 2587, 3183, 9229, 17663, 28221, 6759}},
+{9514, 17, 32208, {1, 3, 1, 7, 5, 5, 123, 55, 509, 973, 261, 463, 2723, 15225, 1925, 62283, 86329}},
+{9515, 17, 32218, {1, 1, 3, 13, 5, 47, 123, 239, 273, 407, 1725, 717, 1229, 1387, 11743, 13739, 104503}},
+{9516, 17, 32236, {1, 3, 3, 13, 23, 35, 43, 113, 299, 847, 1903, 3445, 3395, 641, 11271, 61517, 40747}},
+{9517, 17, 32260, {1, 3, 1, 15, 17, 49, 97, 9, 335, 731, 151, 167, 8129, 11845, 18285, 20113, 122397}},
+{9518, 17, 32263, {1, 1, 5, 11, 11, 63, 3, 153, 345, 511, 1939, 1815, 7231, 10555, 14293, 50753, 14681}},
+{9519, 17, 32288, {1, 3, 7, 5, 21, 31, 127, 223, 241, 783, 887, 3519, 4743, 3541, 4143, 57461, 27791}},
+{9520, 17, 32298, {1, 1, 5, 7, 13, 15, 83, 225, 201, 979, 145, 769, 1491, 12155, 21307, 64877, 113277}},
+{9521, 17, 32315, {1, 1, 7, 1, 27, 25, 105, 69, 239, 323, 1059, 573, 4913, 14215, 27007, 42351, 66315}},
+{9522, 17, 32332, {1, 1, 3, 11, 21, 33, 93, 23, 363, 633, 935, 637, 6171, 12695, 14077, 17505, 69681}},
+{9523, 17, 32340, {1, 3, 1, 5, 15, 11, 93, 211, 175, 377, 33, 1403, 5097, 1503, 8483, 2881, 85877}},
+{9524, 17, 32354, {1, 1, 5, 3, 5, 51, 5, 255, 429, 661, 625, 3015, 4813, 3573, 22917, 45967, 70559}},
+{9525, 17, 32359, {1, 1, 7, 3, 11, 41, 3, 197, 181, 897, 767, 1385, 7395, 15543, 4655, 40309, 73169}},
+{9526, 17, 32366, {1, 1, 5, 9, 15, 35, 71, 119, 509, 817, 1169, 75, 1337, 2959, 611, 38243, 46987}},
+{9527, 17, 32368, {1, 1, 1, 9, 1, 7, 43, 65, 479, 625, 1685, 1309, 5619, 14163, 13633, 18169, 8311}},
+{9528, 17, 32377, {1, 3, 5, 9, 19, 39, 95, 105, 273, 1023, 79, 229, 6895, 2931, 5717, 27911, 22139}},
+{9529, 17, 32384, {1, 3, 5, 7, 1, 55, 15, 15, 297, 731, 2029, 2789, 11, 1333, 26571, 62595, 15131}},
+{9530, 17, 32399, {1, 1, 5, 7, 29, 35, 3, 125, 381, 709, 2047, 2395, 6315, 2301, 7175, 19857, 75085}},
+{9531, 17, 32417, {1, 1, 5, 15, 23, 45, 95, 117, 49, 635, 1525, 1105, 7335, 4653, 18159, 29729, 62627}},
+{9532, 17, 32424, {1, 3, 3, 11, 29, 19, 29, 169, 141, 243, 1765, 1829, 4555, 16299, 3053, 58933, 44605}},
+{9533, 17, 32427, {1, 1, 3, 15, 5, 45, 35, 213, 385, 993, 1521, 9, 3561, 10497, 12601, 38163, 86501}},
+{9534, 17, 32429, {1, 3, 3, 13, 9, 23, 109, 95, 491, 1003, 473, 3325, 6577, 14617, 17765, 33391, 82927}},
+{9535, 17, 32438, {1, 3, 3, 11, 25, 31, 93, 111, 231, 71, 1233, 3581, 6789, 4569, 16741, 61967, 32249}},
+{9536, 17, 32442, {1, 3, 3, 15, 15, 63, 39, 247, 79, 923, 327, 2639, 2013, 12325, 18133, 60623, 2215}},
+{9537, 17, 32447, {1, 3, 5, 1, 5, 49, 121, 53, 283, 529, 37, 3233, 6285, 12447, 4355, 9343, 45631}},
+{9538, 17, 32469, {1, 1, 7, 11, 11, 11, 111, 139, 429, 279, 1019, 2139, 2033, 6809, 8847, 22535, 107005}},
+{9539, 17, 32479, {1, 3, 5, 1, 1, 21, 35, 97, 167, 57, 491, 511, 4065, 11699, 16851, 6847, 40929}},
+{9540, 17, 32483, {1, 3, 1, 15, 3, 55, 113, 33, 255, 537, 835, 1867, 3927, 839, 955, 29079, 93727}},
+{9541, 17, 32498, {1, 1, 7, 3, 5, 7, 35, 111, 165, 885, 115, 3051, 4541, 1701, 22827, 361, 91843}},
+{9542, 17, 32503, {1, 1, 7, 11, 7, 55, 81, 43, 237, 725, 1761, 1599, 639, 14189, 31241, 52827, 107943}},
+{9543, 17, 32507, {1, 3, 1, 3, 29, 35, 67, 119, 369, 877, 1861, 123, 8121, 13861, 31155, 60245, 79799}},
+{9544, 17, 32521, {1, 1, 3, 13, 7, 49, 63, 19, 253, 723, 639, 1677, 291, 13697, 22231, 46893, 90069}},
+{9545, 17, 32532, {1, 3, 5, 1, 7, 57, 29, 233, 35, 715, 515, 3221, 2715, 13839, 18321, 4445, 103843}},
+{9546, 17, 32539, {1, 3, 1, 7, 1, 63, 33, 7, 481, 461, 1923, 2679, 2441, 5449, 13233, 2245, 48667}},
+{9547, 17, 32551, {1, 1, 7, 11, 11, 9, 95, 151, 441, 333, 1871, 1181, 3027, 12887, 11923, 63847, 6953}},
+{9548, 17, 32572, {1, 3, 5, 5, 15, 33, 53, 47, 351, 387, 55, 393, 5475, 3027, 18565, 37997, 120877}},
+{9549, 17, 32577, {1, 3, 5, 9, 23, 43, 67, 97, 445, 783, 1499, 1977, 1441, 10159, 13479, 149, 4939}},
+{9550, 17, 32578, {1, 3, 7, 3, 15, 41, 119, 55, 139, 25, 849, 857, 53, 10421, 2683, 24839, 107797}},
+{9551, 17, 32587, {1, 1, 7, 13, 25, 51, 51, 13, 333, 93, 95, 1755, 3055, 12585, 3519, 44857, 11257}},
+{9552, 17, 32592, {1, 1, 5, 11, 29, 55, 13, 235, 419, 327, 823, 2675, 8031, 9303, 8749, 20215, 12111}},
+{9553, 17, 32602, {1, 1, 3, 5, 7, 31, 103, 19, 467, 255, 583, 419, 2845, 12179, 63, 51693, 9755}},
+{9554, 17, 32604, {1, 1, 1, 13, 15, 29, 109, 81, 381, 659, 601, 3867, 7663, 7307, 16445, 56327, 48559}},
+{9555, 17, 32613, {1, 3, 3, 15, 31, 35, 29, 153, 423, 247, 55, 3259, 6199, 4199, 13931, 14433, 52645}},
+{9556, 17, 32625, {1, 1, 5, 11, 9, 17, 17, 191, 231, 977, 721, 2817, 2485, 4965, 32341, 55131, 4547}},
+{9557, 17, 32631, {1, 1, 7, 7, 7, 7, 89, 69, 299, 503, 597, 311, 1321, 2335, 30193, 45347, 126631}},
+{9558, 17, 32641, {1, 1, 7, 11, 13, 43, 105, 153, 89, 229, 1573, 1549, 3699, 15981, 28911, 45011, 83759}},
+{9559, 17, 32642, {1, 3, 7, 3, 1, 3, 121, 137, 263, 325, 1449, 3793, 5795, 7715, 7449, 26453, 85081}},
+{9560, 17, 32644, {1, 3, 1, 7, 23, 15, 39, 217, 99, 873, 1641, 1411, 4627, 283, 20707, 41795, 62239}},
+{9561, 17, 32656, {1, 3, 5, 9, 15, 15, 35, 255, 501, 945, 79, 799, 2361, 4495, 27825, 27699, 129335}},
+{9562, 17, 32678, {1, 3, 1, 7, 9, 19, 89, 31, 65, 905, 1475, 1353, 7253, 12825, 20723, 47757, 12007}},
+{9563, 17, 32681, {1, 1, 3, 3, 15, 35, 83, 239, 463, 835, 1249, 2521, 3429, 14073, 13569, 6161, 71309}},
+{9564, 17, 32701, {1, 1, 7, 11, 31, 43, 15, 57, 461, 917, 339, 3787, 2925, 1879, 7217, 17091, 108819}},
+{9565, 17, 32713, {1, 3, 7, 3, 17, 51, 29, 105, 221, 941, 1291, 835, 1563, 15623, 2953, 62985, 63037}},
+{9566, 17, 32721, {1, 1, 7, 3, 1, 39, 83, 41, 399, 465, 587, 2011, 137, 6017, 5067, 52389, 71053}},
+{9567, 17, 32727, {1, 1, 7, 11, 17, 55, 103, 239, 173, 181, 1219, 2671, 5183, 3799, 19589, 31247, 68889}},
+{9568, 17, 32731, {1, 1, 3, 3, 21, 43, 123, 253, 281, 627, 353, 3077, 1685, 12143, 19723, 57775, 70761}},
+{9569, 17, 32734, {1, 1, 7, 15, 31, 13, 101, 159, 311, 305, 1783, 3523, 149, 9269, 7103, 40315, 30569}},
+{9570, 17, 32740, {1, 1, 5, 3, 29, 47, 11, 219, 301, 207, 1361, 563, 7831, 14469, 18983, 54535, 64647}},
+{9571, 17, 32773, {1, 1, 3, 15, 11, 37, 85, 237, 225, 1009, 1065, 985, 6849, 5395, 22853, 43965, 51363}},
+{9572, 17, 32774, {1, 3, 3, 1, 11, 61, 45, 131, 201, 609, 757, 2539, 3817, 9309, 24759, 26789, 41437}},
+{9573, 17, 32785, {1, 1, 7, 3, 21, 5, 19, 137, 75, 573, 583, 2499, 41, 3429, 24273, 36711, 110015}},
+{9574, 17, 32788, {1, 3, 7, 9, 1, 51, 39, 75, 115, 269, 1983, 2709, 6989, 6521, 5551, 43675, 1019}},
+{9575, 17, 32792, {1, 1, 3, 9, 27, 1, 125, 7, 67, 821, 275, 1253, 4635, 3557, 4155, 13831, 1523}},
+{9576, 17, 32797, {1, 1, 5, 15, 23, 15, 79, 43, 275, 791, 1867, 2495, 2933, 2167, 22819, 52913, 88871}},
+{9577, 17, 32801, {1, 1, 1, 5, 31, 59, 27, 153, 159, 919, 219, 3373, 3227, 6321, 27559, 33905, 126145}},
+{9578, 17, 32811, {1, 3, 3, 13, 23, 21, 119, 175, 119, 741, 1745, 3985, 3847, 5163, 13699, 32373, 75201}},
+{9579, 17, 32821, {1, 3, 7, 15, 1, 47, 101, 89, 425, 269, 713, 3587, 3373, 13315, 16481, 40031, 50353}},
+{9580, 17, 32828, {1, 3, 7, 3, 19, 29, 5, 69, 385, 979, 1893, 1849, 8007, 14415, 18343, 60555, 109117}},
+{9581, 17, 32839, {1, 1, 3, 13, 5, 35, 111, 239, 489, 395, 1565, 1607, 543, 89, 8971, 22311, 899}},
+{9582, 17, 32854, {1, 1, 7, 7, 11, 51, 105, 211, 341, 85, 991, 1275, 3995, 12611, 2363, 29501, 44217}},
+{9583, 17, 32867, {1, 1, 5, 13, 9, 17, 93, 69, 145, 917, 469, 1109, 7405, 12903, 8341, 50383, 20133}},
+{9584, 17, 32870, {1, 3, 1, 7, 27, 45, 45, 85, 101, 161, 1117, 2757, 7847, 359, 17155, 27073, 123535}},
+{9585, 17, 32873, {1, 3, 1, 3, 9, 11, 67, 205, 109, 257, 1635, 141, 3969, 11571, 211, 48683, 108671}},
+{9586, 17, 32881, {1, 1, 3, 7, 13, 9, 29, 251, 113, 851, 1549, 981, 5553, 6095, 28885, 32953, 112563}},
+{9587, 17, 32891, {1, 1, 5, 7, 11, 5, 13, 83, 343, 499, 587, 3887, 3859, 11459, 7361, 25665, 86151}},
+{9588, 17, 32900, {1, 1, 5, 1, 13, 43, 3, 37, 273, 749, 1707, 2069, 3083, 1095, 3081, 23919, 21939}},
+{9589, 17, 32903, {1, 3, 5, 13, 13, 49, 115, 99, 357, 95, 699, 2615, 1911, 12675, 8607, 12535, 118651}},
+{9590, 17, 32910, {1, 1, 7, 7, 29, 43, 17, 131, 271, 895, 1427, 3659, 1843, 8247, 1175, 48239, 54435}},
+{9591, 17, 32917, {1, 1, 1, 9, 1, 27, 85, 163, 353, 669, 745, 317, 2505, 7685, 14831, 31131, 106687}},
+{9592, 17, 32922, {1, 1, 7, 9, 1, 23, 121, 53, 289, 651, 303, 3049, 6819, 6733, 17485, 20023, 110009}},
+{9593, 17, 32928, {1, 3, 7, 3, 5, 47, 93, 75, 363, 479, 825, 1801, 6807, 3341, 6419, 9889, 5557}},
+{9594, 17, 32945, {1, 1, 3, 15, 23, 5, 7, 25, 73, 811, 1597, 2041, 6707, 6817, 20427, 50749, 46255}},
+{9595, 17, 32946, {1, 3, 7, 9, 1, 11, 61, 63, 435, 977, 1937, 93, 2685, 643, 20113, 25873, 63829}},
+{9596, 17, 32951, {1, 1, 3, 15, 5, 41, 31, 53, 143, 271, 27, 3899, 5045, 1063, 17229, 52715, 67689}},
+{9597, 17, 32958, {1, 1, 3, 11, 1, 57, 121, 13, 291, 861, 1547, 3899, 7949, 15401, 29807, 52307, 104359}},
+{9598, 17, 32965, {1, 3, 5, 15, 23, 3, 95, 43, 377, 437, 1687, 3075, 5131, 11791, 3637, 12621, 105575}},
+{9599, 17, 32978, {1, 3, 1, 3, 27, 1, 117, 11, 153, 401, 1971, 2097, 3227, 14603, 4757, 56281, 112263}},
+{9600, 17, 32980, {1, 3, 3, 5, 13, 25, 51, 209, 367, 327, 1941, 1943, 1347, 14393, 31997, 16001, 129047}},
+{9601, 17, 32983, {1, 1, 5, 11, 19, 51, 109, 229, 71, 923, 1741, 1193, 4657, 6043, 26703, 17757, 75009}},
+{9602, 17, 32987, {1, 1, 7, 3, 23, 3, 125, 165, 137, 999, 1583, 3493, 859, 15603, 7143, 28791, 28201}},
+{9603, 17, 33023, {1, 1, 5, 11, 29, 57, 65, 41, 295, 729, 635, 1871, 6347, 3509, 59, 40765, 42673}},
+{9604, 17, 33031, {1, 3, 3, 3, 15, 59, 53, 97, 15, 131, 891, 1105, 841, 6065, 14427, 4721, 106433}},
+{9605, 17, 33032, {1, 1, 1, 7, 19, 37, 101, 121, 141, 613, 1363, 691, 1731, 12477, 8339, 55669, 99379}},
+{9606, 17, 33035, {1, 3, 5, 13, 17, 49, 75, 25, 447, 113, 1853, 3465, 5225, 4531, 14287, 1039, 17399}},
+{9607, 17, 33038, {1, 3, 5, 3, 3, 49, 101, 79, 117, 939, 1161, 1991, 2343, 7183, 12599, 52877, 94337}},
+{9608, 17, 33040, {1, 3, 1, 1, 19, 47, 73, 195, 475, 435, 1807, 2723, 7885, 15469, 26057, 37325, 57005}},
+{9609, 17, 33043, {1, 1, 1, 11, 17, 7, 111, 143, 357, 977, 719, 553, 4559, 7225, 10405, 26895, 8385}},
+{9610, 17, 33050, {1, 3, 3, 9, 17, 5, 1, 73, 125, 913, 1275, 2387, 5153, 13611, 20585, 8465, 27545}},
+{9611, 17, 33059, {1, 1, 7, 5, 27, 51, 107, 147, 503, 699, 851, 1729, 2875, 16331, 28025, 26451, 92705}},
+{9612, 17, 33080, {1, 1, 5, 9, 3, 37, 21, 139, 13, 427, 225, 1345, 2491, 15495, 25847, 3095, 128879}},
+{9613, 17, 33098, {1, 1, 3, 11, 7, 47, 113, 133, 99, 871, 1151, 1953, 7931, 6389, 28715, 36861, 60017}},
+{9614, 17, 33108, {1, 1, 7, 1, 21, 47, 35, 83, 137, 945, 2047, 3491, 3719, 3001, 20563, 51243, 14491}},
+{9615, 17, 33115, {1, 1, 5, 15, 1, 13, 85, 61, 479, 853, 813, 805, 4931, 12651, 22757, 29531, 92861}},
+{9616, 17, 33117, {1, 3, 7, 7, 27, 63, 31, 169, 43, 185, 637, 729, 7231, 2381, 23539, 53885, 90215}},
+{9617, 17, 33133, {1, 1, 3, 13, 5, 51, 69, 111, 357, 277, 1889, 3809, 8031, 13341, 14261, 34001, 63317}},
+{9618, 17, 33134, {1, 1, 7, 3, 11, 59, 1, 43, 227, 503, 1407, 3917, 7077, 847, 4513, 53007, 66721}},
+{9619, 17, 33157, {1, 1, 5, 11, 15, 25, 109, 169, 25, 391, 597, 2997, 2377, 9045, 15239, 25291, 5451}},
+{9620, 17, 33169, {1, 3, 3, 11, 15, 11, 1, 59, 347, 707, 239, 2473, 8057, 4787, 32247, 17955, 79151}},
+{9621, 17, 33170, {1, 3, 7, 11, 9, 59, 9, 117, 137, 713, 451, 1105, 4485, 14979, 26271, 46017, 89211}},
+{9622, 17, 33176, {1, 3, 3, 3, 3, 19, 95, 131, 413, 291, 1179, 3265, 7107, 10419, 13527, 19905, 8059}},
+{9623, 17, 33182, {1, 3, 7, 9, 29, 43, 19, 243, 443, 27, 1401, 3469, 6925, 2833, 19715, 39667, 11983}},
+{9624, 17, 33192, {1, 3, 3, 7, 23, 33, 115, 59, 29, 61, 1085, 1115, 4007, 12673, 26479, 22397, 95609}},
+{9625, 17, 33205, {1, 3, 3, 5, 1, 47, 43, 83, 21, 621, 59, 1, 891, 12285, 31855, 48641, 52479}},
+{9626, 17, 33212, {1, 3, 3, 5, 3, 9, 17, 181, 15, 315, 1705, 2461, 1853, 14007, 17665, 40593, 126179}},
+{9627, 17, 33215, {1, 3, 5, 3, 3, 23, 83, 163, 29, 293, 1891, 2631, 2989, 7295, 2441, 21689, 8187}},
+{9628, 17, 33217, {1, 3, 1, 1, 1, 23, 53, 215, 185, 843, 1083, 2603, 3857, 4981, 25079, 20249, 93717}},
+{9629, 17, 33227, {1, 3, 5, 11, 7, 61, 127, 13, 449, 395, 1909, 3967, 2441, 3073, 8159, 33979, 26345}},
+{9630, 17, 33229, {1, 1, 5, 1, 15, 5, 93, 87, 319, 173, 1729, 1395, 1019, 5139, 10819, 29877, 81025}},
+{9631, 17, 33238, {1, 3, 3, 7, 17, 55, 61, 227, 299, 245, 849, 211, 895, 2999, 18215, 37069, 32821}},
+{9632, 17, 33241, {1, 1, 5, 3, 17, 49, 115, 55, 447, 533, 1463, 2983, 3245, 9345, 11955, 49145, 128035}},
+{9633, 17, 33260, {1, 3, 1, 7, 5, 17, 61, 71, 101, 529, 1761, 827, 7887, 5713, 31039, 18087, 82277}},
+{9634, 17, 33271, {1, 3, 1, 11, 27, 59, 1, 231, 303, 431, 1279, 3647, 1333, 3675, 29401, 55533, 65997}},
+{9635, 17, 33278, {1, 1, 5, 9, 7, 9, 111, 245, 269, 919, 1147, 1601, 6219, 4931, 3035, 12231, 4011}},
+{9636, 17, 33293, {1, 3, 5, 15, 3, 19, 83, 25, 129, 979, 79, 3027, 3983, 7703, 16859, 12085, 83115}},
+{9637, 17, 33294, {1, 1, 5, 11, 31, 41, 99, 3, 383, 943, 1579, 2435, 1209, 161, 31733, 11755, 95697}},
+{9638, 17, 33296, {1, 1, 1, 9, 9, 55, 115, 187, 499, 165, 1081, 813, 2545, 8065, 10501, 15475, 85107}},
+{9639, 17, 33302, {1, 1, 1, 3, 1, 31, 81, 213, 301, 575, 605, 543, 3347, 12759, 21645, 37173, 36127}},
+{9640, 17, 33305, {1, 3, 3, 9, 21, 29, 51, 91, 307, 617, 1839, 443, 1013, 4473, 3885, 57669, 123271}},
+{9641, 17, 33329, {1, 3, 1, 15, 31, 43, 83, 187, 51, 513, 1505, 3895, 3557, 9527, 27537, 6173, 99595}},
+{9642, 17, 33330, {1, 3, 3, 1, 3, 53, 113, 27, 431, 505, 219, 2143, 6691, 3219, 9589, 9885, 24037}},
+{9643, 17, 33332, {1, 1, 5, 9, 13, 3, 53, 145, 49, 411, 691, 289, 6443, 4963, 13815, 23663, 95497}},
+{9644, 17, 33354, {1, 3, 5, 9, 19, 7, 53, 101, 199, 69, 1821, 3233, 3267, 5947, 4869, 30095, 21255}},
+{9645, 17, 33383, {1, 1, 5, 11, 29, 7, 79, 11, 451, 585, 987, 2333, 1891, 1853, 14739, 34399, 62895}},
+{9646, 17, 33387, {1, 3, 1, 7, 29, 43, 103, 219, 139, 359, 1663, 3453, 7469, 1943, 11457, 19227, 62211}},
+{9647, 17, 33397, {1, 3, 3, 11, 9, 47, 17, 237, 87, 881, 583, 3473, 2579, 975, 1531, 50997, 76219}},
+{9648, 17, 33408, {1, 1, 7, 15, 31, 37, 79, 115, 95, 515, 2003, 2595, 4077, 4537, 9171, 31183, 41219}},
+{9649, 17, 33417, {1, 1, 1, 9, 21, 41, 93, 33, 211, 341, 233, 2217, 6657, 12913, 8329, 3881, 42563}},
+{9650, 17, 33420, {1, 3, 3, 11, 25, 3, 23, 197, 49, 339, 877, 1117, 7817, 14143, 1575, 50301, 92367}},
+{9651, 17, 33423, {1, 3, 5, 5, 19, 45, 69, 179, 447, 861, 1633, 1941, 5821, 1843, 4085, 23501, 109047}},
+{9652, 17, 33431, {1, 3, 1, 3, 31, 29, 49, 183, 311, 133, 345, 1541, 111, 5571, 1943, 11039, 127673}},
+{9653, 17, 33438, {1, 3, 1, 5, 3, 13, 63, 5, 59, 789, 71, 3271, 3871, 9105, 22525, 31, 117803}},
+{9654, 17, 33442, {1, 3, 1, 13, 31, 43, 97, 133, 313, 729, 287, 2971, 5623, 13183, 15179, 47271, 28853}},
+{9655, 17, 33444, {1, 1, 3, 13, 27, 15, 35, 37, 507, 139, 1933, 2847, 361, 10261, 21031, 3889, 56875}},
+{9656, 17, 33448, {1, 3, 1, 15, 31, 13, 45, 73, 279, 331, 471, 3881, 3295, 12035, 28329, 899, 47397}},
+{9657, 17, 33456, {1, 1, 3, 13, 1, 7, 81, 255, 315, 595, 43, 3919, 5229, 7953, 25711, 19509, 107181}},
+{9658, 17, 33459, {1, 1, 3, 15, 7, 33, 117, 169, 71, 577, 629, 3665, 7761, 13529, 26375, 17181, 22125}},
+{9659, 17, 33466, {1, 3, 5, 7, 5, 7, 1, 93, 489, 289, 329, 2273, 685, 14835, 11433, 26041, 112735}},
+{9660, 17, 33473, {1, 3, 3, 3, 9, 39, 45, 23, 171, 35, 571, 551, 7815, 6169, 24283, 61477, 71877}},
+{9661, 17, 33476, {1, 1, 5, 7, 23, 15, 81, 215, 297, 269, 655, 2059, 3643, 12741, 11955, 41085, 46047}},
+{9662, 17, 33491, {1, 1, 7, 5, 3, 35, 125, 141, 419, 137, 1031, 2053, 7925, 7267, 6267, 34323, 77495}},
+{9663, 17, 33494, {1, 1, 7, 11, 3, 57, 91, 43, 139, 691, 1569, 1825, 7855, 1093, 19263, 31601, 16019}},
+{9664, 17, 33507, {1, 3, 1, 5, 21, 7, 11, 225, 105, 757, 1493, 455, 4757, 12007, 5139, 3545, 79717}},
+{9665, 17, 33514, {1, 3, 1, 13, 17, 29, 125, 249, 475, 79, 1271, 341, 863, 853, 2105, 32897, 121261}},
+{9666, 17, 33521, {1, 3, 1, 11, 17, 59, 3, 29, 61, 399, 1465, 4029, 2103, 12481, 28495, 34363, 63781}},
+{9667, 17, 33528, {1, 3, 3, 15, 29, 13, 101, 191, 435, 215, 1355, 2263, 6059, 4545, 7535, 15041, 84091}},
+{9668, 17, 33534, {1, 1, 3, 9, 29, 23, 99, 55, 91, 145, 235, 2847, 725, 209, 24565, 16545, 103669}},
+{9669, 17, 33536, {1, 1, 1, 1, 31, 15, 93, 197, 207, 357, 667, 3511, 3865, 5329, 6491, 9027, 125979}},
+{9670, 17, 33551, {1, 3, 3, 13, 17, 35, 99, 187, 153, 589, 1633, 4053, 1023, 9541, 9841, 39585, 24885}},
+{9671, 17, 33554, {1, 3, 7, 11, 23, 5, 71, 89, 455, 665, 1221, 1821, 591, 11459, 503, 56777, 65691}},
+{9672, 17, 33563, {1, 3, 1, 1, 9, 33, 51, 203, 223, 709, 1263, 3535, 7753, 8279, 8673, 60259, 2671}},
+{9673, 17, 33575, {1, 1, 7, 9, 17, 63, 5, 229, 495, 435, 1711, 3359, 399, 15901, 28519, 56627, 8079}},
+{9674, 17, 33579, {1, 3, 5, 11, 9, 25, 49, 143, 275, 989, 461, 447, 1917, 9253, 28421, 1803, 119725}},
+{9675, 17, 33582, {1, 3, 3, 7, 25, 3, 39, 171, 303, 905, 1353, 2561, 7347, 7339, 15271, 61945, 26343}},
+{9676, 17, 33601, {1, 1, 1, 3, 5, 63, 9, 229, 107, 815, 1705, 3621, 2345, 3065, 16315, 17017, 33667}},
+{9677, 17, 33602, {1, 3, 5, 13, 29, 13, 91, 111, 475, 561, 443, 3825, 5331, 11211, 27639, 28305, 101831}},
+{9678, 17, 33614, {1, 3, 1, 9, 15, 33, 17, 47, 249, 89, 429, 3819, 1959, 14317, 10737, 28151, 40395}},
+{9679, 17, 33625, {1, 3, 7, 13, 19, 29, 83, 81, 511, 783, 823, 2865, 5823, 9459, 27413, 63297, 44181}},
+{9680, 17, 33628, {1, 3, 1, 1, 19, 53, 45, 227, 193, 631, 289, 1227, 6241, 6915, 16051, 31237, 50201}},
+{9681, 17, 33637, {1, 3, 7, 7, 15, 49, 77, 147, 421, 515, 927, 1561, 4391, 12943, 6807, 36889, 70249}},
+{9682, 17, 33656, {1, 3, 7, 7, 17, 15, 63, 123, 101, 283, 59, 977, 5185, 16161, 5007, 36255, 11537}},
+{9683, 17, 33665, {1, 1, 7, 1, 13, 17, 79, 35, 193, 947, 767, 1365, 2145, 13267, 30561, 51949, 37591}},
+{9684, 17, 33683, {1, 1, 1, 13, 11, 13, 91, 129, 355, 549, 295, 673, 209, 15953, 14703, 30857, 47967}},
+{9685, 17, 33695, {1, 3, 5, 9, 17, 17, 83, 161, 189, 585, 21, 1019, 4879, 15943, 17281, 46013, 94839}},
+{9686, 17, 33696, {1, 3, 5, 9, 23, 39, 65, 25, 181, 3, 2005, 635, 201, 9391, 8755, 38535, 88697}},
+{9687, 17, 33702, {1, 3, 1, 15, 13, 35, 47, 125, 429, 901, 895, 3495, 327, 397, 7847, 62157, 3489}},
+{9688, 17, 33708, {1, 3, 5, 3, 19, 21, 81, 39, 85, 169, 1981, 3323, 113, 2057, 16617, 58051, 55059}},
+{9689, 17, 33711, {1, 3, 1, 13, 9, 1, 101, 81, 129, 717, 1495, 4077, 5555, 93, 12957, 14805, 110219}},
+{9690, 17, 33716, {1, 3, 5, 5, 5, 47, 107, 111, 387, 987, 2009, 179, 1111, 3443, 25579, 12293, 123035}},
+{9691, 17, 33728, {1, 1, 7, 13, 21, 25, 33, 211, 9, 783, 1785, 2691, 6835, 2867, 22469, 17853, 90685}},
+{9692, 17, 33737, {1, 1, 3, 3, 19, 57, 59, 203, 197, 347, 553, 1361, 7593, 91, 15303, 30045, 86605}},
+{9693, 17, 33761, {1, 3, 5, 7, 29, 23, 1, 235, 159, 277, 1227, 1727, 1853, 9717, 2377, 13597, 18119}},
+{9694, 17, 33774, {1, 1, 1, 11, 15, 29, 5, 15, 349, 685, 197, 3127, 1075, 8847, 27873, 539, 57149}},
+{9695, 17, 33782, {1, 1, 7, 9, 23, 25, 121, 239, 219, 747, 1981, 2683, 5319, 75, 22569, 29697, 27627}},
+{9696, 17, 33788, {1, 3, 7, 5, 31, 43, 95, 131, 423, 547, 1437, 127, 1953, 861, 839, 54503, 20465}},
+{9697, 17, 33791, {1, 1, 5, 3, 29, 29, 71, 237, 275, 493, 513, 4067, 393, 9415, 20511, 29257, 86267}},
+{9698, 17, 33793, {1, 1, 1, 1, 25, 11, 59, 185, 211, 175, 37, 2999, 4919, 10225, 16727, 60447, 59985}},
+{9699, 17, 33811, {1, 1, 3, 3, 1, 9, 69, 195, 197, 677, 229, 599, 5613, 4537, 5495, 58801, 14297}},
+{9700, 17, 33813, {1, 3, 1, 15, 17, 23, 5, 101, 331, 943, 1433, 2199, 313, 469, 3651, 3281, 100119}},
+{9701, 17, 33818, {1, 1, 5, 15, 13, 25, 87, 45, 229, 821, 59, 761, 6259, 15159, 3197, 39763, 87301}},
+{9702, 17, 33829, {1, 3, 5, 7, 19, 21, 89, 15, 19, 623, 603, 4069, 3531, 13353, 21267, 6355, 53821}},
+{9703, 17, 33842, {1, 1, 5, 9, 13, 13, 111, 77, 439, 599, 1577, 959, 4567, 3117, 7127, 49265, 35667}},
+{9704, 17, 33854, {1, 3, 7, 9, 27, 61, 1, 19, 43, 475, 221, 655, 4351, 15827, 30489, 22245, 41077}},
+{9705, 17, 33856, {1, 1, 3, 13, 17, 17, 111, 85, 253, 11, 367, 2349, 4103, 12517, 27037, 42481, 84451}},
+{9706, 17, 33868, {1, 3, 5, 7, 7, 25, 53, 27, 429, 503, 893, 2923, 2539, 15849, 30157, 12111, 108893}},
+{9707, 17, 33879, {1, 1, 7, 9, 13, 29, 51, 113, 273, 745, 759, 263, 3031, 705, 23203, 64245, 127183}},
+{9708, 17, 33885, {1, 1, 1, 9, 29, 5, 25, 165, 261, 319, 645, 2199, 3135, 10263, 10711, 18713, 63337}},
+{9709, 17, 33886, {1, 1, 5, 1, 23, 41, 43, 71, 365, 683, 1107, 1671, 7079, 8933, 12815, 8095, 97955}},
+{9710, 17, 33892, {1, 3, 1, 15, 9, 43, 105, 217, 131, 299, 1459, 1087, 3493, 15297, 11741, 43383, 35021}},
+{9711, 17, 33907, {1, 3, 1, 3, 3, 57, 69, 7, 73, 977, 1163, 3591, 243, 13129, 23247, 20609, 22489}},
+{9712, 17, 33913, {1, 3, 7, 5, 1, 57, 65, 27, 121, 575, 903, 3527, 5601, 5597, 1941, 60079, 88121}},
+{9713, 17, 33923, {1, 3, 1, 3, 15, 3, 23, 87, 233, 389, 1671, 1557, 4825, 1017, 17697, 26735, 53421}},
+{9714, 17, 33925, {1, 3, 5, 3, 5, 43, 61, 249, 273, 251, 1383, 2415, 1061, 12363, 3071, 23785, 127909}},
+{9715, 17, 33935, {1, 3, 3, 13, 5, 63, 15, 165, 353, 603, 1627, 2037, 487, 11603, 719, 54693, 52645}},
+{9716, 17, 33937, {1, 3, 5, 11, 31, 41, 41, 83, 481, 251, 1903, 2655, 5237, 6073, 20201, 14069, 91649}},
+{9717, 17, 33954, {1, 3, 1, 15, 21, 41, 99, 61, 55, 63, 1595, 1805, 7625, 12261, 23275, 43471, 5147}},
+{9718, 17, 33963, {1, 3, 1, 5, 23, 21, 71, 169, 197, 51, 1653, 3053, 4663, 293, 12751, 15641, 83993}},
+{9719, 17, 33966, {1, 3, 5, 15, 29, 45, 55, 199, 275, 103, 1093, 3569, 5997, 9445, 2291, 30973, 68589}},
+{9720, 17, 33977, {1, 3, 5, 7, 15, 3, 15, 3, 287, 961, 1759, 1153, 7613, 9885, 8981, 5109, 112865}},
+{9721, 17, 33978, {1, 1, 1, 9, 1, 37, 111, 61, 309, 581, 875, 2121, 1035, 4345, 1351, 59743, 34955}},
+{9722, 17, 33991, {1, 3, 7, 7, 11, 23, 51, 235, 23, 697, 991, 1995, 3615, 6665, 15885, 18555, 11711}},
+{9723, 17, 33998, {1, 3, 7, 13, 3, 59, 87, 129, 405, 689, 1189, 2071, 877, 12347, 18381, 28367, 27247}},
+{9724, 17, 34012, {1, 1, 1, 9, 23, 29, 113, 71, 479, 421, 215, 1029, 6125, 13575, 10823, 45303, 3153}},
+{9725, 17, 34016, {1, 1, 3, 11, 13, 5, 31, 29, 279, 597, 791, 319, 1391, 14487, 3811, 36913, 11513}},
+{9726, 17, 34025, {1, 3, 7, 11, 9, 11, 55, 167, 69, 519, 1887, 145, 6133, 1307, 14465, 17419, 18319}},
+{9727, 17, 34033, {1, 1, 3, 1, 29, 25, 57, 75, 19, 187, 1591, 421, 959, 7499, 8377, 42811, 53423}},
+{9728, 17, 34036, {1, 3, 1, 3, 7, 9, 73, 217, 383, 755, 1561, 3923, 3891, 16129, 13195, 62097, 67493}},
+{9729, 17, 34045, {1, 3, 7, 9, 5, 7, 47, 29, 319, 243, 405, 2867, 5803, 2273, 4913, 54777, 88301}},
+{9730, 17, 34065, {1, 3, 7, 1, 25, 11, 51, 183, 387, 863, 39, 2119, 2395, 10175, 20833, 3235, 108197}},
+{9731, 17, 34078, {1, 1, 7, 13, 25, 43, 21, 67, 103, 709, 603, 1045, 7079, 8867, 29039, 61499, 39533}},
+{9732, 17, 34093, {1, 1, 7, 5, 7, 55, 77, 115, 409, 287, 1149, 1535, 7459, 5525, 27129, 43659, 86953}},
+{9733, 17, 34101, {1, 3, 5, 3, 21, 41, 47, 147, 267, 473, 1501, 2663, 5381, 41, 18265, 53845, 16039}},
+{9734, 17, 34108, {1, 1, 7, 15, 27, 63, 95, 103, 169, 1, 133, 3103, 7539, 5765, 11453, 4133, 95133}},
+{9735, 17, 34111, {1, 3, 3, 15, 3, 53, 121, 135, 385, 475, 889, 2557, 4937, 11129, 18461, 16757, 30339}},
+{9736, 17, 34120, {1, 3, 1, 13, 11, 39, 111, 13, 475, 201, 1973, 2151, 6973, 4083, 12593, 44093, 108037}},
+{9737, 17, 34123, {1, 3, 7, 9, 31, 31, 97, 235, 179, 689, 403, 1995, 7697, 7511, 29333, 11005, 50723}},
+{9738, 17, 34125, {1, 1, 7, 13, 23, 5, 7, 171, 441, 921, 1455, 3865, 7089, 5469, 10423, 53013, 80559}},
+{9739, 17, 34153, {1, 3, 5, 3, 25, 43, 105, 157, 507, 143, 297, 1111, 2761, 14103, 4965, 36733, 11741}},
+{9740, 17, 34171, {1, 3, 7, 9, 29, 61, 49, 239, 271, 697, 211, 1633, 2991, 14933, 12347, 44291, 12219}},
+{9741, 17, 34174, {1, 1, 7, 7, 17, 61, 29, 43, 87, 633, 937, 1931, 3541, 12259, 23045, 5923, 48479}},
+{9742, 17, 34178, {1, 3, 3, 3, 15, 25, 105, 17, 159, 863, 1377, 331, 1475, 10573, 28947, 8141, 26671}},
+{9743, 17, 34183, {1, 1, 7, 7, 31, 59, 81, 23, 467, 241, 1257, 1337, 7731, 9071, 3417, 51191, 78369}},
+{9744, 17, 34190, {1, 1, 5, 9, 11, 45, 49, 227, 319, 63, 1339, 885, 4571, 11649, 5607, 10509, 55055}},
+{9745, 17, 34201, {1, 3, 3, 9, 29, 17, 7, 235, 191, 927, 575, 1115, 4111, 14179, 2041, 13331, 29825}},
+{9746, 17, 34211, {1, 1, 5, 9, 27, 61, 71, 201, 341, 577, 221, 1371, 1135, 4347, 24211, 36171, 23435}},
+{9747, 17, 34220, {1, 3, 3, 1, 1, 29, 75, 121, 193, 647, 1429, 275, 5243, 783, 28533, 13941, 68035}},
+{9748, 17, 34225, {1, 3, 5, 15, 21, 27, 117, 183, 251, 991, 935, 3119, 5133, 2765, 7423, 28867, 120565}},
+{9749, 17, 34237, {1, 3, 5, 5, 13, 23, 29, 101, 299, 699, 1249, 1225, 1335, 6079, 17825, 60467, 87787}},
+{9750, 17, 34249, {1, 1, 1, 9, 15, 19, 11, 163, 433, 553, 1487, 813, 3293, 1195, 895, 28431, 62905}},
+{9751, 17, 34250, {1, 1, 1, 13, 25, 37, 111, 129, 391, 813, 1061, 4065, 7339, 10731, 23799, 41463, 99673}},
+{9752, 17, 34264, {1, 1, 7, 15, 3, 21, 45, 77, 471, 155, 967, 711, 4947, 13983, 27827, 28653, 117839}},
+{9753, 17, 34269, {1, 1, 5, 9, 13, 39, 107, 237, 233, 881, 297, 2189, 8085, 1221, 18659, 299, 90951}},
+{9754, 17, 34276, {1, 1, 1, 13, 21, 53, 83, 17, 487, 215, 1203, 3017, 7887, 3759, 10521, 31223, 87917}},
+{9755, 17, 34279, {1, 1, 7, 1, 13, 31, 123, 219, 127, 743, 1325, 3907, 129, 8901, 4855, 22509, 47331}},
+{9756, 17, 34293, {1, 1, 7, 11, 29, 37, 11, 157, 401, 35, 2037, 2873, 7409, 7837, 1247, 33911, 3979}},
+{9757, 17, 34303, {1, 1, 5, 15, 1, 13, 35, 253, 287, 1007, 1417, 1613, 6019, 11617, 6323, 56263, 45073}},
+{9758, 17, 34310, {1, 3, 1, 15, 1, 59, 41, 239, 373, 443, 897, 275, 5783, 8619, 18559, 16279, 92063}},
+{9759, 17, 34340, {1, 3, 1, 9, 23, 33, 83, 43, 231, 819, 1657, 1031, 5507, 12621, 8961, 23059, 63453}},
+{9760, 17, 34349, {1, 1, 7, 5, 29, 49, 21, 251, 267, 43, 729, 4013, 1497, 15489, 16761, 49689, 122755}},
+{9761, 17, 34352, {1, 3, 7, 1, 31, 21, 11, 149, 127, 711, 1249, 49, 5503, 677, 12313, 61301, 16279}},
+{9762, 17, 34355, {1, 1, 5, 11, 9, 15, 41, 61, 81, 991, 1387, 3567, 221, 15835, 8609, 28265, 98199}},
+{9763, 17, 34358, {1, 3, 1, 7, 21, 35, 13, 59, 173, 637, 107, 393, 4551, 6523, 27389, 33129, 45579}},
+{9764, 17, 34362, {1, 1, 1, 9, 29, 51, 65, 199, 417, 553, 1321, 2513, 4749, 8477, 19721, 24301, 16301}},
+{9765, 17, 34376, {1, 3, 5, 1, 25, 13, 7, 55, 163, 581, 1677, 2313, 6843, 15697, 3055, 53171, 59899}},
+{9766, 17, 34381, {1, 3, 1, 5, 31, 13, 101, 195, 235, 359, 911, 1017, 2575, 12801, 997, 7819, 73243}},
+{9767, 17, 34387, {1, 1, 7, 1, 9, 39, 59, 83, 57, 885, 317, 2689, 5741, 11833, 25563, 62581, 62239}},
+{9768, 17, 34389, {1, 1, 5, 15, 25, 25, 55, 207, 223, 907, 913, 387, 5599, 15567, 8859, 13703, 66071}},
+{9769, 17, 34394, {1, 1, 5, 15, 19, 39, 83, 177, 333, 531, 1257, 2687, 7793, 15967, 19175, 1381, 106629}},
+{9770, 17, 34410, {1, 3, 5, 13, 29, 29, 77, 1, 273, 483, 725, 3825, 5115, 4043, 11571, 8693, 49761}},
+{9771, 17, 34423, {1, 1, 7, 3, 5, 45, 37, 65, 267, 191, 301, 2863, 167, 9303, 14563, 41553, 119561}},
+{9772, 17, 34434, {1, 1, 7, 5, 21, 41, 107, 213, 267, 427, 699, 1485, 2125, 16011, 29243, 4691, 50545}},
+{9773, 17, 34436, {1, 3, 3, 9, 15, 29, 81, 53, 289, 689, 933, 2667, 5175, 10409, 28221, 56375, 49109}},
+{9774, 17, 34448, {1, 1, 1, 15, 3, 11, 77, 107, 353, 349, 219, 1961, 7559, 10081, 25119, 46041, 103827}},
+{9775, 17, 34453, {1, 3, 3, 1, 5, 27, 109, 17, 271, 543, 565, 397, 2649, 12037, 4525, 37835, 107071}},
+{9776, 17, 34454, {1, 1, 5, 15, 3, 37, 123, 157, 389, 619, 1379, 4093, 6107, 4419, 21011, 36189, 21269}},
+{9777, 17, 34460, {1, 3, 1, 7, 25, 17, 37, 133, 247, 113, 985, 815, 441, 7869, 25121, 49459, 429}},
+{9778, 17, 34464, {1, 3, 3, 11, 7, 23, 59, 51, 403, 685, 2019, 1167, 7973, 6915, 10819, 43807, 127793}},
+{9779, 17, 34479, {1, 1, 3, 1, 29, 3, 125, 107, 305, 101, 391, 2733, 6883, 5867, 5139, 16025, 112439}},
+{9780, 17, 34491, {1, 1, 5, 5, 23, 23, 89, 33, 275, 451, 1033, 649, 3761, 4735, 26021, 9627, 102747}},
+{9781, 17, 34501, {1, 1, 5, 13, 3, 17, 117, 251, 425, 917, 759, 3047, 8171, 14421, 27765, 11085, 64889}},
+{9782, 17, 34508, {1, 3, 1, 9, 7, 23, 107, 143, 123, 413, 2045, 655, 6283, 8783, 20263, 55463, 33271}},
+{9783, 17, 34516, {1, 3, 7, 11, 5, 49, 73, 55, 465, 43, 587, 3943, 521, 12357, 16273, 26603, 23219}},
+{9784, 17, 34529, {1, 3, 5, 13, 9, 3, 127, 171, 271, 227, 993, 1427, 2235, 6325, 13501, 1411, 44393}},
+{9785, 17, 34530, {1, 1, 1, 3, 13, 27, 19, 37, 175, 423, 5, 3403, 5427, 16345, 30297, 11909, 104647}},
+{9786, 17, 34553, {1, 3, 1, 3, 3, 39, 111, 179, 487, 923, 1945, 1609, 4689, 11807, 13725, 3081, 48163}},
+{9787, 17, 34564, {1, 3, 1, 1, 9, 35, 7, 151, 109, 925, 1249, 3171, 1207, 2053, 5135, 34821, 57291}},
+{9788, 17, 34568, {1, 1, 5, 13, 31, 35, 101, 199, 499, 725, 1229, 2857, 6437, 503, 14437, 35721, 24971}},
+{9789, 17, 34571, {1, 1, 1, 15, 3, 49, 75, 101, 373, 119, 875, 245, 15, 12937, 4731, 13037, 1555}},
+{9790, 17, 34582, {1, 1, 1, 7, 15, 5, 53, 5, 423, 69, 73, 2139, 383, 4035, 6723, 59941, 124503}},
+{9791, 17, 34586, {1, 1, 3, 13, 1, 23, 29, 47, 145, 785, 1013, 1579, 4579, 107, 17571, 46311, 27777}},
+{9792, 17, 34598, {1, 1, 1, 5, 23, 25, 97, 75, 105, 183, 827, 3871, 2005, 6453, 28729, 42583, 62979}},
+{9793, 17, 34604, {1, 3, 5, 9, 11, 49, 29, 201, 333, 441, 429, 1955, 5301, 11775, 22915, 58693, 111917}},
+{9794, 17, 34610, {1, 3, 3, 1, 15, 37, 117, 223, 319, 181, 61, 177, 507, 14871, 16419, 34261, 106937}},
+{9795, 17, 34619, {1, 3, 3, 9, 25, 27, 81, 253, 459, 5, 693, 1271, 485, 16171, 427, 17917, 4393}},
+{9796, 17, 34621, {1, 3, 3, 1, 27, 47, 11, 57, 269, 95, 569, 2733, 3275, 1599, 15073, 58071, 86805}},
+{9797, 17, 34633, {1, 3, 7, 13, 21, 57, 75, 63, 53, 487, 251, 3193, 4279, 2311, 6613, 38319, 93557}},
+{9798, 17, 34634, {1, 3, 5, 5, 31, 35, 39, 255, 11, 81, 605, 1457, 6367, 14121, 8069, 46653, 79945}},
+{9799, 17, 34657, {1, 1, 1, 7, 17, 19, 19, 247, 13, 757, 1069, 2811, 4969, 10943, 29399, 4153, 120817}},
+{9800, 17, 34682, {1, 1, 1, 15, 31, 13, 1, 247, 157, 785, 1565, 897, 4825, 8375, 4933, 60671, 88403}},
+{9801, 17, 34688, {1, 3, 3, 7, 31, 53, 117, 207, 243, 603, 625, 1039, 5725, 5021, 20227, 28613, 123759}},
+{9802, 17, 34691, {1, 1, 5, 1, 7, 29, 65, 153, 393, 821, 295, 2705, 5999, 15801, 31301, 15545, 52917}},
+{9803, 17, 34694, {1, 1, 1, 1, 11, 51, 97, 143, 27, 279, 1005, 1235, 5539, 1523, 26293, 35015, 47835}},
+{9804, 17, 34706, {1, 3, 3, 13, 27, 17, 123, 147, 39, 35, 567, 961, 5431, 5557, 17849, 46675, 102181}},
+{9805, 17, 34708, {1, 1, 7, 11, 7, 25, 73, 223, 459, 207, 1637, 647, 2057, 685, 24539, 48809, 26877}},
+{9806, 17, 34724, {1, 3, 1, 3, 21, 43, 121, 11, 431, 383, 1703, 1451, 2349, 11845, 13801, 20589, 43125}},
+{9807, 17, 34727, {1, 1, 5, 1, 27, 29, 89, 233, 437, 303, 853, 3425, 263, 2073, 14111, 39129, 59547}},
+{9808, 17, 34751, {1, 1, 1, 3, 3, 47, 99, 207, 261, 179, 1761, 2657, 4339, 6567, 25455, 18729, 51431}},
+{9809, 17, 34753, {1, 3, 3, 13, 5, 5, 109, 125, 123, 233, 1713, 1539, 4375, 12187, 18355, 49597, 109959}},
+{9810, 17, 34759, {1, 3, 7, 7, 9, 23, 45, 193, 363, 837, 855, 1413, 7587, 9091, 27907, 17809, 63249}},
+{9811, 17, 34763, {1, 3, 3, 9, 19, 23, 63, 85, 419, 1007, 1753, 539, 1471, 2171, 9239, 36289, 105503}},
+{9812, 17, 34777, {1, 3, 1, 11, 23, 5, 105, 79, 473, 879, 1623, 3155, 5157, 4699, 697, 41919, 15441}},
+{9813, 17, 34778, {1, 1, 7, 11, 5, 21, 43, 207, 491, 355, 857, 2325, 819, 15849, 24529, 5789, 110661}},
+{9814, 17, 34780, {1, 1, 5, 15, 19, 33, 81, 137, 473, 853, 1681, 3841, 5617, 13715, 1987, 52983, 66327}},
+{9815, 17, 34796, {1, 3, 5, 7, 11, 31, 69, 85, 33, 197, 1771, 1957, 1311, 169, 14159, 7327, 8577}},
+{9816, 17, 34799, {1, 1, 3, 9, 11, 23, 19, 143, 9, 579, 111, 2973, 3567, 8561, 10447, 55875, 64305}},
+{9817, 17, 34801, {1, 1, 5, 7, 1, 17, 93, 11, 423, 1007, 839, 719, 3965, 14531, 17301, 29577, 4083}},
+{9818, 17, 34817, {1, 3, 5, 13, 19, 17, 123, 61, 59, 115, 1165, 579, 2545, 633, 5597, 21865, 109167}},
+{9819, 17, 34824, {1, 1, 5, 3, 29, 29, 99, 163, 321, 367, 1523, 3719, 665, 15843, 28831, 63823, 113533}},
+{9820, 17, 34827, {1, 1, 1, 3, 15, 7, 85, 1, 181, 759, 537, 3315, 7159, 4363, 4183, 53775, 8801}},
+{9821, 17, 34837, {1, 3, 1, 1, 15, 53, 9, 35, 459, 417, 1169, 2055, 1175, 10923, 335, 24269, 93001}},
+{9822, 17, 34841, {1, 3, 1, 5, 31, 43, 51, 149, 175, 541, 629, 1147, 7585, 9725, 18623, 13345, 65391}},
+{9823, 17, 34853, {1, 3, 7, 1, 13, 39, 13, 217, 507, 765, 721, 1491, 5037, 6267, 2871, 19181, 123751}},
+{9824, 17, 34858, {1, 1, 3, 5, 21, 9, 123, 195, 63, 347, 7, 531, 3015, 9457, 29543, 51479, 26607}},
+{9825, 17, 34877, {1, 1, 1, 1, 21, 15, 81, 127, 429, 15, 901, 1503, 1919, 6515, 2477, 53571, 113447}},
+{9826, 17, 34886, {1, 3, 1, 13, 9, 33, 79, 169, 499, 767, 441, 2085, 2429, 10213, 4125, 2611, 26137}},
+{9827, 17, 34895, {1, 1, 3, 1, 19, 23, 83, 179, 447, 513, 913, 1201, 1861, 11595, 29037, 7775, 116417}},
+{9828, 17, 34897, {1, 3, 3, 7, 3, 57, 47, 183, 413, 319, 1375, 1401, 2231, 14331, 28625, 43839, 102717}},
+{9829, 17, 34898, {1, 1, 5, 11, 31, 27, 111, 85, 191, 155, 2025, 1501, 4991, 4655, 3451, 10219, 60391}},
+{9830, 17, 34916, {1, 3, 3, 7, 17, 19, 113, 37, 423, 479, 709, 3659, 6567, 1709, 13483, 61821, 77101}},
+{9831, 17, 34923, {1, 3, 1, 13, 3, 17, 73, 61, 275, 359, 1341, 449, 1373, 12047, 11207, 52651, 83305}},
+{9832, 17, 34928, {1, 1, 7, 9, 9, 45, 15, 121, 15, 51, 509, 2189, 5057, 6119, 11669, 14559, 108323}},
+{9833, 17, 34934, {1, 1, 7, 7, 25, 13, 13, 141, 157, 249, 823, 821, 1909, 5925, 3505, 13187, 19237}},
+{9834, 17, 34940, {1, 3, 3, 1, 9, 51, 79, 91, 5, 709, 787, 2427, 4613, 7307, 20141, 1675, 49779}},
+{9835, 17, 34944, {1, 1, 1, 11, 11, 13, 33, 81, 413, 981, 907, 2709, 4113, 10607, 2587, 12845, 11103}},
+{9836, 17, 34947, {1, 1, 7, 9, 13, 25, 37, 81, 375, 1013, 2027, 321, 3947, 2269, 10687, 7537, 67495}},
+{9837, 17, 34953, {1, 3, 5, 11, 9, 43, 53, 111, 339, 841, 503, 3209, 6437, 10893, 13627, 51809, 57229}},
+{9838, 17, 34956, {1, 3, 1, 1, 21, 15, 71, 93, 453, 405, 1099, 2979, 7471, 10173, 17875, 13179, 48615}},
+{9839, 17, 34967, {1, 3, 5, 9, 9, 1, 121, 117, 275, 157, 57, 3459, 4787, 15005, 24591, 23963, 45077}},
+{9840, 17, 34968, {1, 1, 5, 3, 21, 57, 113, 207, 169, 603, 637, 1455, 6281, 6527, 17219, 32307, 18617}},
+{9841, 17, 34971, {1, 3, 7, 5, 25, 15, 99, 91, 253, 267, 537, 713, 3929, 895, 7999, 47989, 118731}},
+{9842, 17, 34974, {1, 3, 7, 15, 23, 17, 5, 129, 121, 251, 219, 2547, 7291, 1079, 14577, 56229, 35253}},
+{9843, 17, 34977, {1, 3, 1, 15, 5, 61, 35, 135, 497, 681, 751, 2303, 6697, 11225, 30389, 61673, 87313}},
+{9844, 17, 34980, {1, 3, 1, 7, 7, 37, 9, 85, 257, 805, 1325, 3597, 6065, 727, 18203, 57077, 437}},
+{9845, 17, 34983, {1, 3, 5, 7, 5, 43, 29, 179, 73, 173, 1441, 1233, 1779, 7893, 10629, 27547, 7775}},
+{9846, 17, 34998, {1, 1, 7, 5, 31, 29, 21, 35, 289, 423, 449, 3331, 2929, 6827, 15569, 9873, 76889}},
+{9847, 17, 35004, {1, 1, 7, 13, 13, 37, 55, 99, 135, 797, 1263, 2539, 893, 4225, 16689, 38259, 50857}},
+{9848, 17, 35010, {1, 1, 3, 1, 5, 3, 95, 29, 15, 539, 825, 3931, 4809, 8299, 29891, 61357, 97523}},
+{9849, 17, 35012, {1, 3, 1, 9, 27, 25, 115, 239, 387, 163, 1153, 31, 2375, 7943, 31929, 1121, 33085}},
+{9850, 17, 35030, {1, 3, 5, 9, 3, 53, 121, 159, 165, 81, 317, 3051, 1991, 493, 2029, 43305, 130209}},
+{9851, 17, 35039, {1, 1, 1, 5, 9, 57, 39, 247, 73, 613, 1047, 3289, 2569, 5363, 18475, 32749, 39415}},
+{9852, 17, 35058, {1, 3, 1, 5, 19, 23, 39, 33, 151, 463, 153, 737, 2501, 7531, 2769, 35595, 71799}},
+{9853, 17, 35063, {1, 3, 5, 5, 29, 49, 105, 81, 67, 441, 1101, 2241, 6243, 6177, 7157, 51635, 81241}},
+{9854, 17, 35082, {1, 3, 3, 3, 29, 53, 13, 239, 487, 503, 97, 1323, 1817, 13021, 12881, 26943, 21011}},
+{9855, 17, 35095, {1, 1, 1, 15, 25, 9, 5, 205, 85, 635, 789, 2495, 5069, 4987, 847, 26857, 84225}},
+{9856, 17, 35096, {1, 1, 3, 15, 9, 51, 79, 13, 377, 637, 159, 3407, 2057, 13967, 31781, 40869, 52987}},
+{9857, 17, 35101, {1, 3, 1, 13, 11, 27, 103, 207, 383, 887, 749, 1119, 285, 4269, 31745, 57539, 5671}},
+{9858, 17, 35102, {1, 3, 1, 13, 23, 19, 41, 43, 455, 425, 1653, 4091, 4855, 16321, 169, 59289, 82397}},
+{9859, 17, 35105, {1, 3, 3, 15, 31, 39, 51, 127, 391, 989, 1831, 3327, 6487, 6077, 17277, 52093, 20389}},
+{9860, 17, 35112, {1, 3, 5, 15, 19, 1, 21, 241, 15, 543, 1529, 2355, 1503, 12795, 17321, 41219, 61115}},
+{9861, 17, 35118, {1, 1, 3, 11, 9, 33, 21, 197, 307, 141, 1663, 371, 1663, 8307, 3617, 56941, 62477}},
+{9862, 17, 35120, {1, 3, 7, 9, 19, 53, 123, 3, 29, 635, 1795, 2471, 2491, 15847, 9169, 2561, 101515}},
+{9863, 17, 35130, {1, 1, 5, 3, 19, 11, 117, 231, 475, 837, 1833, 3499, 4415, 9961, 28285, 37821, 81497}},
+{9864, 17, 35143, {1, 1, 3, 5, 7, 11, 57, 89, 345, 157, 1519, 3021, 7157, 2159, 32557, 31559, 128907}},
+{9865, 17, 35147, {1, 1, 7, 3, 27, 1, 15, 177, 489, 405, 811, 3597, 4939, 15595, 7279, 58097, 84703}},
+{9866, 17, 35152, {1, 3, 1, 9, 25, 61, 119, 219, 111, 339, 1091, 759, 6087, 16001, 6757, 15627, 1691}},
+{9867, 17, 35157, {1, 3, 7, 9, 1, 39, 107, 139, 143, 917, 421, 1623, 7135, 4851, 6687, 6177, 102425}},
+{9868, 17, 35164, {1, 1, 7, 13, 23, 17, 19, 167, 317, 331, 743, 3737, 2195, 545, 2185, 9125, 30503}},
+{9869, 17, 35178, {1, 1, 5, 13, 27, 33, 117, 141, 493, 129, 1553, 2335, 4161, 14205, 24177, 35163, 84869}},
+{9870, 17, 35195, {1, 3, 7, 1, 11, 9, 75, 133, 113, 507, 2007, 2473, 4769, 14655, 17967, 17709, 90653}},
+{9871, 17, 35197, {1, 1, 7, 11, 17, 11, 83, 23, 387, 61, 29, 3905, 4351, 15173, 28375, 9129, 111939}},
+{9872, 17, 35201, {1, 1, 5, 15, 15, 53, 81, 125, 189, 937, 1607, 2595, 2847, 7229, 22241, 26269, 64781}},
+{9873, 17, 35207, {1, 3, 1, 7, 5, 11, 61, 111, 13, 423, 885, 2329, 6003, 16331, 11207, 25743, 54619}},
+{9874, 17, 35231, {1, 3, 5, 9, 1, 13, 95, 241, 237, 629, 263, 1629, 1063, 12695, 14501, 5455, 121483}},
+{9875, 17, 35249, {1, 1, 7, 15, 5, 17, 45, 255, 143, 79, 87, 1755, 6215, 5095, 32411, 8695, 85511}},
+{9876, 17, 35250, {1, 3, 7, 7, 21, 11, 117, 135, 333, 73, 1471, 2749, 5801, 4209, 9353, 46171, 90645}},
+{9877, 17, 35256, {1, 1, 7, 13, 11, 35, 77, 149, 159, 783, 1527, 2881, 1409, 3455, 26991, 3225, 30693}},
+{9878, 17, 35259, {1, 1, 3, 15, 19, 55, 21, 245, 207, 103, 775, 2041, 4637, 7333, 11267, 60509, 43099}},
+{9879, 17, 35262, {1, 3, 3, 15, 17, 63, 23, 81, 183, 923, 75, 391, 615, 13343, 20839, 56529, 115747}},
+{9880, 17, 35273, {1, 3, 1, 13, 5, 5, 15, 27, 263, 497, 1365, 2733, 5395, 7461, 2725, 24735, 89251}},
+{9881, 17, 35282, {1, 1, 7, 7, 29, 17, 39, 117, 363, 915, 123, 283, 4575, 3497, 20995, 37883, 16645}},
+{9882, 17, 35298, {1, 3, 3, 9, 1, 25, 79, 181, 331, 617, 393, 1807, 5145, 8007, 9173, 45189, 37945}},
+{9883, 17, 35307, {1, 3, 1, 5, 1, 9, 127, 137, 379, 371, 367, 3237, 581, 15295, 18191, 37689, 103495}},
+{9884, 17, 35328, {1, 1, 7, 1, 29, 53, 103, 173, 171, 973, 933, 3847, 3185, 10107, 31701, 45021, 106251}},
+{9885, 17, 35334, {1, 1, 1, 7, 23, 9, 61, 25, 343, 471, 2041, 2179, 7647, 1885, 15353, 50379, 67681}},
+{9886, 17, 35343, {1, 1, 5, 11, 31, 13, 51, 185, 83, 917, 85, 1317, 8185, 14949, 32455, 57939, 1217}},
+{9887, 17, 35345, {1, 1, 7, 5, 23, 45, 101, 227, 497, 941, 985, 167, 6847, 9611, 20011, 40069, 83285}},
+{9888, 17, 35355, {1, 1, 5, 13, 17, 33, 61, 197, 433, 255, 67, 1479, 5663, 6501, 30695, 27235, 80141}},
+{9889, 17, 35388, {1, 1, 3, 5, 11, 45, 123, 49, 327, 893, 1963, 2225, 2611, 8925, 22811, 2313, 8411}},
+{9890, 17, 35399, {1, 3, 7, 7, 15, 39, 75, 235, 13, 847, 575, 3947, 6947, 2061, 13467, 103, 86285}},
+{9891, 17, 35403, {1, 1, 7, 3, 21, 43, 113, 197, 141, 873, 1139, 2707, 7235, 10683, 10831, 33695, 57063}},
+{9892, 17, 35408, {1, 3, 5, 1, 3, 27, 45, 43, 119, 979, 1933, 1851, 6497, 14937, 4965, 41285, 120221}},
+{9893, 17, 35413, {1, 1, 3, 1, 23, 59, 67, 7, 49, 351, 1053, 1837, 501, 7671, 26239, 51951, 95119}},
+{9894, 17, 35418, {1, 3, 5, 11, 3, 19, 33, 33, 219, 175, 1439, 197, 1841, 159, 11229, 20463, 81797}},
+{9895, 17, 35434, {1, 1, 7, 1, 13, 11, 79, 75, 53, 525, 91, 233, 5999, 2921, 21295, 56831, 116049}},
+{9896, 17, 35436, {1, 3, 3, 13, 29, 7, 71, 207, 193, 635, 1393, 3093, 3775, 12445, 23281, 29401, 103225}},
+{9897, 17, 35448, {1, 1, 7, 3, 29, 57, 111, 163, 63, 593, 881, 1587, 3027, 12599, 30977, 38891, 95495}},
+{9898, 17, 35460, {1, 1, 5, 15, 17, 57, 111, 169, 149, 767, 377, 765, 7533, 1539, 22979, 55489, 29799}},
+{9899, 17, 35475, {1, 3, 5, 15, 25, 7, 127, 71, 319, 389, 497, 1513, 1287, 7359, 12311, 45457, 45897}},
+{9900, 17, 35494, {1, 1, 5, 3, 3, 35, 45, 17, 49, 483, 197, 727, 5355, 7201, 3035, 14313, 40933}},
+{9901, 17, 35497, {1, 1, 7, 15, 1, 9, 27, 59, 455, 653, 1907, 281, 1435, 14593, 18909, 37655, 87603}},
+{9902, 17, 35503, {1, 1, 7, 11, 29, 9, 67, 17, 353, 709, 859, 3687, 7741, 4251, 12263, 41717, 79393}},
+{9903, 17, 35508, {1, 3, 3, 3, 1, 15, 113, 187, 255, 851, 503, 4089, 7923, 1701, 305, 8353, 16357}},
+{9904, 17, 35511, {1, 1, 5, 3, 17, 31, 29, 233, 377, 215, 1889, 3459, 2443, 3907, 4193, 16519, 49089}},
+{9905, 17, 35518, {1, 1, 3, 1, 17, 39, 11, 255, 247, 305, 669, 1769, 1355, 12055, 2275, 51681, 112337}},
+{9906, 17, 35520, {1, 3, 1, 1, 17, 17, 75, 95, 409, 21, 1513, 1443, 4931, 6491, 1587, 62979, 90395}},
+{9907, 17, 35530, {1, 1, 3, 5, 3, 19, 125, 175, 279, 911, 301, 407, 7773, 949, 32107, 13571, 58717}},
+{9908, 17, 35537, {1, 3, 3, 15, 31, 35, 11, 223, 125, 209, 1719, 1725, 3387, 14879, 32243, 7219, 126791}},
+{9909, 17, 35543, {1, 1, 3, 1, 31, 29, 67, 79, 93, 193, 1573, 2285, 3209, 8397, 17717, 5657, 61545}},
+{9910, 17, 35560, {1, 3, 1, 9, 11, 33, 85, 121, 193, 63, 461, 1835, 889, 10687, 19831, 49551, 59087}},
+{9911, 17, 35566, {1, 3, 3, 7, 11, 3, 9, 87, 91, 487, 289, 1113, 8135, 7971, 16693, 31009, 81197}},
+{9912, 17, 35571, {1, 3, 3, 1, 23, 23, 61, 209, 409, 845, 547, 1493, 465, 6399, 17633, 53647, 52425}},
+{9913, 17, 35598, {1, 1, 7, 7, 21, 31, 71, 249, 63, 895, 653, 93, 4429, 8951, 16873, 48089, 33947}},
+{9914, 17, 35609, {1, 3, 5, 11, 3, 35, 49, 15, 379, 645, 855, 3657, 8019, 2141, 11233, 60731, 80455}},
+{9915, 17, 35612, {1, 3, 1, 3, 1, 53, 101, 157, 255, 765, 1575, 1615, 7677, 9699, 13351, 2207, 90939}},
+{9916, 17, 35615, {1, 3, 7, 7, 5, 43, 123, 109, 119, 391, 1889, 1991, 3151, 1457, 16321, 65245, 75891}},
+{9917, 17, 35616, {1, 3, 1, 15, 9, 1, 113, 249, 1, 675, 501, 487, 2209, 4411, 6609, 29243, 100177}},
+{9918, 17, 35622, {1, 1, 1, 7, 9, 23, 9, 197, 341, 191, 453, 3733, 5475, 15515, 28979, 36077, 17801}},
+{9919, 17, 35626, {1, 1, 3, 13, 5, 35, 85, 121, 59, 429, 1251, 3437, 3121, 12411, 14713, 28125, 31921}},
+{9920, 17, 35633, {1, 3, 5, 3, 27, 17, 61, 255, 485, 709, 83, 3201, 2191, 3371, 2941, 10931, 22141}},
+{9921, 17, 35636, {1, 1, 1, 1, 19, 19, 25, 177, 397, 579, 529, 1619, 3887, 4537, 8123, 52481, 8305}},
+{9922, 17, 35645, {1, 1, 3, 15, 3, 15, 77, 51, 31, 881, 203, 2359, 4947, 6321, 14705, 16471, 84395}},
+{9923, 17, 35653, {1, 3, 7, 9, 13, 53, 67, 41, 289, 721, 1743, 2725, 435, 1327, 14953, 14283, 113211}},
+{9924, 17, 35663, {1, 3, 1, 5, 19, 23, 73, 181, 187, 675, 125, 1877, 6167, 7919, 3955, 25007, 28299}},
+{9925, 17, 35665, {1, 1, 3, 1, 5, 11, 123, 189, 173, 123, 499, 2175, 483, 13017, 14709, 5797, 36327}},
+{9926, 17, 35682, {1, 3, 7, 5, 21, 39, 79, 229, 19, 203, 375, 3901, 1053, 14209, 13535, 63155, 99727}},
+{9927, 17, 35687, {1, 1, 1, 13, 11, 29, 29, 173, 441, 271, 1147, 2891, 965, 10777, 16325, 37135, 101601}},
+{9928, 17, 35688, {1, 1, 3, 3, 25, 13, 79, 233, 75, 191, 987, 3231, 3667, 1525, 14193, 62027, 77441}},
+{9929, 17, 35691, {1, 3, 1, 1, 15, 53, 17, 45, 367, 263, 425, 1565, 6139, 13833, 12547, 61103, 75361}},
+{9930, 17, 35696, {1, 1, 5, 15, 5, 57, 123, 47, 407, 887, 375, 1181, 5367, 10283, 24799, 33121, 76373}},
+{9931, 17, 35727, {1, 1, 7, 3, 11, 17, 65, 133, 3, 609, 601, 3391, 7801, 4137, 32095, 55983, 23037}},
+{9932, 17, 35741, {1, 3, 1, 3, 25, 5, 125, 5, 297, 571, 145, 3601, 1929, 13457, 16977, 21049, 92169}},
+{9933, 17, 35742, {1, 3, 5, 13, 23, 29, 13, 143, 507, 187, 857, 427, 5125, 1377, 10947, 58473, 110541}},
+{9934, 17, 35746, {1, 3, 3, 15, 15, 49, 39, 103, 193, 507, 639, 2399, 3829, 12105, 15993, 52975, 115935}},
+{9935, 17, 35748, {1, 3, 7, 3, 7, 41, 95, 127, 193, 923, 1729, 3039, 7959, 3345, 7725, 35293, 34361}},
+{9936, 17, 35752, {1, 3, 5, 13, 17, 53, 111, 141, 151, 389, 1955, 3333, 4523, 6331, 21239, 57447, 113325}},
+{9937, 17, 35770, {1, 3, 7, 15, 31, 7, 11, 35, 105, 607, 1665, 3281, 487, 9417, 26205, 26963, 81537}},
+{9938, 17, 35811, {1, 3, 1, 1, 17, 15, 3, 55, 451, 691, 1525, 2009, 6443, 4629, 15091, 46961, 83361}},
+{9939, 17, 35817, {1, 3, 1, 15, 1, 29, 99, 79, 225, 665, 623, 2389, 3303, 7221, 20567, 15917, 24677}},
+{9940, 17, 35832, {1, 1, 3, 15, 3, 17, 125, 239, 485, 849, 327, 1459, 3911, 2145, 14475, 24337, 19695}},
+{9941, 17, 35838, {1, 3, 5, 7, 7, 37, 19, 51, 373, 587, 147, 563, 7623, 7781, 18289, 37239, 6803}},
+{9942, 17, 35850, {1, 3, 5, 1, 9, 63, 5, 87, 171, 5, 1553, 429, 5001, 7881, 1493, 20425, 57727}},
+{9943, 17, 35863, {1, 3, 5, 9, 25, 43, 17, 71, 87, 869, 1219, 2661, 4571, 9689, 18799, 62467, 128531}},
+{9944, 17, 35870, {1, 1, 3, 3, 19, 53, 61, 9, 55, 433, 1555, 2369, 1423, 9081, 19185, 8513, 111079}},
+{9945, 17, 35879, {1, 3, 5, 15, 11, 61, 1, 147, 17, 71, 1563, 1113, 4809, 16229, 23743, 59757, 64699}},
+{9946, 17, 35880, {1, 1, 5, 11, 29, 23, 61, 43, 203, 97, 1119, 237, 6445, 14507, 9799, 18447, 14745}},
+{9947, 17, 35891, {1, 3, 5, 15, 11, 17, 117, 139, 117, 537, 251, 149, 2731, 15863, 1381, 25435, 25501}},
+{9948, 17, 35893, {1, 3, 3, 15, 31, 57, 53, 43, 95, 445, 1423, 3833, 2485, 11789, 16011, 8101, 39165}},
+{9949, 17, 35903, {1, 1, 3, 11, 15, 37, 117, 3, 245, 57, 593, 2771, 7181, 11397, 5691, 3217, 44139}},
+{9950, 17, 35905, {1, 3, 5, 1, 11, 13, 121, 85, 85, 511, 1837, 611, 237, 4893, 24025, 28903, 102025}},
+{9951, 17, 35926, {1, 3, 1, 11, 5, 45, 43, 45, 393, 741, 1157, 1511, 1665, 2359, 19071, 24537, 122879}},
+{9952, 17, 35930, {1, 3, 3, 3, 9, 59, 27, 11, 257, 203, 1535, 2729, 2313, 3539, 1689, 31901, 42949}},
+{9953, 17, 35941, {1, 1, 1, 11, 17, 7, 21, 35, 479, 697, 107, 1317, 6585, 705, 3789, 20439, 33375}},
+{9954, 17, 35956, {1, 1, 3, 11, 19, 37, 123, 233, 253, 733, 901, 3047, 3595, 2357, 24533, 40519, 109171}},
+{9955, 17, 35963, {1, 3, 3, 13, 29, 51, 25, 149, 57, 253, 2001, 351, 7367, 15361, 4955, 60951, 19449}},
+{9956, 17, 35970, {1, 1, 3, 15, 21, 53, 25, 239, 257, 437, 711, 3599, 5441, 7405, 15039, 19207, 63841}},
+{9957, 17, 35984, {1, 3, 1, 9, 17, 41, 43, 231, 413, 747, 1447, 1407, 2615, 14529, 10781, 20001, 82713}},
+{9958, 17, 35996, {1, 3, 7, 7, 9, 29, 25, 55, 53, 423, 1711, 2871, 2675, 421, 31703, 57099, 2955}},
+{9959, 17, 36005, {1, 3, 1, 7, 31, 17, 113, 83, 387, 611, 1815, 2137, 3453, 4409, 20377, 60263, 81205}},
+{9960, 17, 36012, {1, 1, 5, 3, 11, 1, 7, 225, 367, 267, 95, 939, 3801, 2619, 1207, 62695, 116407}},
+{9961, 17, 36015, {1, 3, 3, 9, 5, 39, 85, 45, 247, 483, 491, 865, 3493, 8243, 8411, 26449, 50473}},
+{9962, 17, 36030, {1, 3, 3, 9, 1, 53, 23, 127, 13, 529, 1925, 2629, 3451, 15073, 16075, 29909, 34101}},
+{9963, 17, 36035, {1, 3, 1, 11, 1, 9, 125, 57, 79, 633, 979, 3843, 325, 883, 7769, 40155, 104057}},
+{9964, 17, 36042, {1, 1, 7, 13, 23, 53, 27, 157, 493, 901, 1077, 1079, 1327, 15903, 20603, 64377, 103335}},
+{9965, 17, 36047, {1, 3, 3, 3, 3, 35, 37, 167, 73, 301, 385, 1045, 6913, 2269, 22491, 19735, 70125}},
+{9966, 17, 36049, {1, 1, 1, 11, 5, 23, 23, 85, 267, 845, 207, 77, 1245, 16209, 25579, 12417, 48723}},
+{9967, 17, 36059, {1, 1, 5, 15, 11, 17, 43, 83, 373, 1005, 541, 115, 163, 2165, 8181, 35839, 44471}},
+{9968, 17, 36071, {1, 3, 5, 7, 27, 41, 101, 13, 213, 235, 2037, 2179, 2121, 4481, 8127, 20011, 3981}},
+{9969, 17, 36080, {1, 1, 5, 11, 7, 43, 59, 129, 127, 387, 489, 1985, 623, 13307, 19765, 62155, 93271}},
+{9970, 17, 36085, {1, 1, 7, 5, 23, 63, 23, 177, 211, 233, 101, 1809, 7411, 8003, 25101, 32601, 75071}},
+{9971, 17, 36097, {1, 1, 1, 11, 3, 25, 9, 91, 459, 611, 867, 3639, 5457, 9101, 15333, 40069, 67723}},
+{9972, 17, 36110, {1, 3, 7, 5, 3, 29, 111, 75, 459, 195, 1405, 2281, 6085, 4425, 29061, 57335, 87449}},
+{9973, 17, 36115, {1, 3, 7, 11, 21, 45, 53, 81, 77, 863, 1901, 3355, 5253, 10897, 26289, 48399, 26877}},
+{9974, 17, 36118, {1, 3, 3, 13, 21, 37, 69, 87, 259, 101, 1203, 167, 6229, 145, 9355, 15347, 68047}},
+{9975, 17, 36124, {1, 1, 3, 1, 31, 1, 15, 229, 429, 915, 929, 381, 1857, 8441, 22207, 47071, 127853}},
+{9976, 17, 36137, {1, 3, 7, 3, 15, 9, 13, 161, 173, 573, 405, 3253, 7331, 13965, 3061, 40687, 130185}},
+{9977, 17, 36138, {1, 3, 5, 5, 29, 29, 9, 115, 393, 377, 909, 321, 2861, 9881, 17863, 52033, 55133}},
+{9978, 17, 36155, {1, 1, 7, 7, 27, 53, 101, 213, 199, 301, 1995, 2549, 5037, 13639, 18423, 23547, 79359}},
+{9979, 17, 36160, {1, 3, 1, 7, 21, 51, 29, 151, 301, 665, 571, 53, 2637, 7229, 12517, 33647, 49413}},
+{9980, 17, 36189, {1, 3, 3, 13, 13, 49, 49, 131, 325, 273, 1127, 2981, 2365, 14287, 23185, 26915, 81755}},
+{9981, 17, 36190, {1, 1, 5, 3, 17, 45, 25, 79, 37, 265, 1205, 1805, 6707, 11525, 16473, 39525, 9571}},
+{9982, 17, 36203, {1, 3, 3, 15, 9, 43, 55, 101, 469, 939, 365, 3443, 5759, 4751, 28893, 46727, 74569}},
+{9983, 17, 36211, {1, 3, 7, 9, 5, 33, 11, 201, 263, 227, 1475, 2795, 1489, 11129, 18053, 31009, 73105}},
+{9984, 17, 36218, {1, 3, 5, 5, 5, 25, 41, 151, 393, 237, 2017, 3811, 953, 13835, 28761, 22439, 76355}},
+{9985, 17, 36230, {1, 1, 5, 13, 21, 37, 29, 11, 289, 67, 1317, 511, 685, 15227, 8731, 15039, 79491}},
+{9986, 17, 36241, {1, 3, 1, 9, 31, 59, 123, 169, 473, 139, 575, 1057, 3213, 8213, 21845, 28123, 105335}},
+{9987, 17, 36244, {1, 1, 1, 5, 21, 47, 23, 121, 403, 5, 1457, 2137, 569, 9267, 6367, 6991, 3113}},
+{9988, 17, 36253, {1, 3, 3, 7, 13, 7, 25, 215, 81, 1003, 2041, 1317, 3913, 14705, 30551, 50889, 83441}},
+{9989, 17, 36257, {1, 3, 3, 3, 13, 17, 63, 229, 83, 901, 953, 2603, 4685, 6961, 7519, 52441, 33223}},
+{9990, 17, 36264, {1, 3, 7, 5, 7, 57, 65, 73, 243, 531, 261, 2517, 4083, 5889, 22913, 49603, 67135}},
+{9991, 17, 36272, {1, 3, 5, 11, 15, 47, 81, 83, 35, 1021, 1313, 1109, 5103, 5469, 18149, 15307, 34939}},
+{9992, 17, 36290, {1, 3, 7, 5, 21, 13, 105, 157, 435, 23, 931, 3565, 1, 4987, 8829, 7327, 51049}},
+{9993, 17, 36292, {1, 1, 3, 11, 29, 9, 59, 49, 261, 1009, 1953, 2683, 8125, 10937, 16683, 36013, 5967}},
+{9994, 17, 36301, {1, 1, 1, 1, 19, 29, 57, 9, 307, 457, 675, 3023, 495, 15257, 7945, 10449, 30155}},
+{9995, 17, 36309, {1, 1, 7, 13, 25, 9, 51, 135, 491, 205, 1715, 3253, 1031, 4137, 14885, 39925, 6061}},
+{9996, 17, 36313, {1, 1, 7, 7, 3, 13, 111, 91, 469, 133, 1221, 1035, 919, 3697, 26387, 41675, 487}},
+{9997, 17, 36316, {1, 1, 3, 1, 19, 53, 11, 113, 245, 747, 189, 4051, 87, 1767, 3595, 10259, 100097}},
+{9998, 17, 36319, {1, 1, 5, 3, 23, 49, 31, 47, 341, 1019, 723, 2353, 6191, 3809, 3297, 39443, 73529}},
+{9999, 17, 36330, {1, 3, 3, 9, 25, 27, 123, 49, 51, 85, 1063, 2633, 6549, 14493, 7367, 3557, 60651}},
+{10000, 17, 36335, {1, 3, 7, 5, 13, 27, 127, 65, 115, 731, 1147, 283, 91, 14205, 2457, 57083, 35815}},
+{10001, 17, 36347, {1, 3, 3, 3, 25, 63, 99, 249, 25, 951, 733, 3621, 7139, 14223, 23641, 20287, 30743}},
+{10002, 17, 36353, {1, 3, 3, 7, 21, 23, 83, 207, 235, 467, 1857, 2661, 1391, 10097, 12297, 54825, 5035}},
+{10003, 17, 36356, {1, 1, 5, 3, 31, 17, 77, 9, 215, 553, 989, 3643, 729, 2057, 32053, 50305, 5499}},
+{10004, 17, 36368, {1, 1, 7, 1, 23, 5, 111, 195, 431, 947, 403, 1781, 943, 15073, 67, 52225, 98987}},
+{10005, 17, 36374, {1, 1, 5, 11, 23, 1, 41, 33, 457, 767, 275, 801, 5119, 3781, 14805, 52789, 41775}},
+{10006, 17, 36377, {1, 1, 5, 3, 9, 53, 15, 183, 281, 691, 165, 3277, 7673, 1509, 16605, 53799, 100185}},
+{10007, 17, 36384, {1, 3, 5, 11, 19, 45, 29, 159, 167, 67, 1259, 879, 7787, 8855, 24153, 42667, 102855}},
+{10008, 17, 36407, {1, 1, 7, 13, 31, 19, 43, 133, 295, 287, 1985, 2451, 2297, 3853, 22401, 27659, 11149}},
+{10009, 17, 36413, {1, 1, 7, 13, 31, 39, 125, 21, 173, 103, 1119, 3739, 6467, 2113, 4465, 26537, 129949}},
+{10010, 17, 36419, {1, 1, 5, 15, 21, 47, 35, 125, 199, 335, 421, 31, 185, 12769, 30659, 33427, 106981}},
+{10011, 17, 36425, {1, 3, 5, 13, 25, 35, 53, 253, 325, 921, 1705, 2735, 6437, 2287, 20479, 61107, 91453}},
+{10012, 17, 36426, {1, 3, 7, 13, 25, 63, 83, 183, 5, 401, 329, 525, 3141, 393, 30469, 16529, 9605}},
+{10013, 17, 36446, {1, 3, 3, 13, 19, 23, 15, 85, 323, 545, 149, 3645, 6269, 15595, 18453, 39, 128169}},
+{10014, 17, 36461, {1, 3, 7, 15, 17, 5, 61, 61, 91, 353, 1039, 2959, 4147, 13205, 12599, 53281, 39509}},
+{10015, 17, 36467, {1, 1, 3, 7, 21, 9, 97, 111, 249, 775, 845, 1789, 667, 489, 6689, 29217, 56527}},
+{10016, 17, 36474, {1, 3, 5, 7, 11, 5, 59, 219, 29, 803, 923, 3861, 7953, 8969, 1819, 43501, 20513}},
+{10017, 17, 36480, {1, 1, 5, 11, 7, 53, 63, 231, 193, 293, 1467, 1409, 6397, 13237, 15903, 19271, 66257}},
+{10018, 17, 36486, {1, 3, 1, 15, 23, 15, 37, 123, 189, 63, 1121, 751, 6711, 10095, 6493, 40709, 47641}},
+{10019, 17, 36489, {1, 3, 7, 3, 23, 59, 99, 183, 249, 479, 771, 1087, 7979, 409, 4819, 4337, 33345}},
+{10020, 17, 36495, {1, 1, 5, 1, 17, 7, 15, 167, 305, 411, 1429, 3127, 23, 9123, 7185, 44405, 114841}},
+{10021, 17, 36525, {1, 1, 5, 11, 3, 29, 29, 31, 399, 777, 251, 1841, 3607, 211, 23543, 29111, 54565}},
+{10022, 17, 36526, {1, 3, 3, 9, 27, 33, 79, 27, 469, 67, 1327, 183, 5783, 10039, 13165, 20443, 4913}},
+{10023, 17, 36533, {1, 3, 7, 15, 21, 23, 5, 227, 141, 1021, 69, 3347, 7221, 13837, 20921, 20525, 32567}},
+{10024, 17, 36534, {1, 1, 5, 5, 25, 53, 73, 111, 319, 311, 1597, 1809, 5343, 13963, 6613, 14471, 53871}},
+{10025, 17, 36540, {1, 3, 3, 1, 15, 57, 47, 205, 53, 471, 185, 273, 8077, 5031, 31195, 30859, 15979}},
+{10026, 17, 36555, {1, 1, 3, 5, 23, 15, 87, 211, 83, 265, 1629, 2979, 69, 12559, 30455, 36363, 61461}},
+{10027, 17, 36563, {1, 1, 7, 7, 1, 47, 5, 199, 95, 17, 57, 1887, 6847, 9501, 21361, 57763, 77069}},
+{10028, 17, 36565, {1, 1, 3, 5, 9, 15, 15, 149, 141, 605, 639, 2197, 7237, 5753, 9415, 4677, 129947}},
+{10029, 17, 36588, {1, 3, 7, 1, 7, 9, 29, 249, 275, 461, 1667, 4093, 5763, 3205, 24079, 11883, 86455}},
+{10030, 17, 36593, {1, 1, 3, 5, 15, 39, 117, 145, 153, 671, 1819, 111, 3607, 12279, 4927, 63759, 42905}},
+{10031, 17, 36596, {1, 1, 1, 5, 31, 5, 35, 183, 189, 839, 1811, 1877, 6545, 11373, 27947, 27183, 29857}},
+{10032, 17, 36606, {1, 3, 5, 7, 29, 47, 3, 183, 511, 145, 1953, 3419, 6385, 7745, 12823, 59783, 69399}},
+{10033, 17, 36614, {1, 3, 5, 9, 5, 39, 85, 145, 33, 899, 1009, 2035, 6145, 3855, 20583, 4329, 95231}},
+{10034, 17, 36626, {1, 1, 3, 3, 15, 61, 85, 181, 247, 705, 413, 1633, 7489, 1785, 30397, 42851, 80197}},
+{10035, 17, 36628, {1, 3, 3, 13, 23, 11, 3, 97, 307, 183, 113, 3881, 7455, 8327, 6749, 23977, 101629}},
+{10036, 17, 36641, {1, 1, 7, 13, 1, 23, 59, 219, 125, 789, 1401, 707, 6915, 6275, 25813, 46595, 54119}},
+{10037, 17, 36642, {1, 3, 7, 9, 5, 7, 37, 33, 165, 181, 833, 1993, 4541, 5799, 23323, 39825, 44575}},
+{10038, 17, 36651, {1, 3, 1, 13, 13, 43, 69, 219, 437, 521, 503, 2293, 3607, 6845, 22583, 291, 65645}},
+{10039, 17, 36653, {1, 1, 7, 9, 29, 13, 123, 67, 191, 933, 1875, 1223, 5525, 13797, 29771, 58191, 84469}},
+{10040, 17, 36673, {1, 1, 7, 7, 3, 57, 101, 69, 23, 239, 1023, 3289, 1541, 6245, 23379, 161, 61155}},
+{10041, 17, 36676, {1, 3, 7, 13, 25, 33, 49, 145, 487, 681, 451, 1719, 109, 16273, 20009, 3003, 115815}},
+{10042, 17, 36679, {1, 1, 5, 11, 11, 59, 41, 133, 303, 469, 1975, 847, 5291, 13947, 8759, 8533, 25099}},
+{10043, 17, 36694, {1, 1, 1, 1, 29, 31, 53, 11, 239, 57, 1627, 1247, 1577, 3269, 20751, 4627, 40499}},
+{10044, 17, 36698, {1, 3, 7, 15, 1, 1, 51, 39, 383, 203, 1841, 3867, 4975, 9937, 1863, 52611, 83189}},
+{10045, 17, 36704, {1, 3, 7, 7, 13, 59, 15, 217, 355, 945, 1317, 815, 2413, 10985, 30647, 37745, 126553}},
+{10046, 17, 36714, {1, 1, 3, 11, 7, 29, 101, 137, 97, 119, 927, 3269, 6977, 4253, 10741, 61907, 122815}},
+{10047, 17, 36721, {1, 3, 3, 1, 29, 5, 49, 137, 411, 349, 905, 2481, 4961, 4513, 29409, 19503, 77915}},
+{10048, 17, 36722, {1, 1, 7, 13, 29, 59, 93, 61, 393, 29, 257, 3601, 6281, 5105, 17339, 53827, 83137}},
+{10049, 17, 36727, {1, 1, 1, 13, 5, 23, 61, 7, 51, 161, 737, 1549, 6021, 3385, 5539, 21261, 69995}},
+{10050, 17, 36749, {1, 1, 1, 15, 31, 1, 21, 113, 481, 7, 175, 717, 1593, 5937, 12347, 51835, 66649}},
+{10051, 17, 36758, {1, 1, 3, 7, 9, 51, 9, 199, 39, 607, 1157, 3913, 7767, 14195, 28721, 27655, 34709}},
+{10052, 17, 36761, {1, 3, 5, 5, 1, 15, 49, 33, 441, 721, 1749, 1497, 2023, 8351, 12641, 11861, 78545}},
+{10053, 17, 36771, {1, 3, 1, 7, 7, 17, 103, 113, 243, 25, 889, 1419, 3163, 12401, 22459, 39037, 101719}},
+{10054, 17, 36788, {1, 1, 7, 11, 17, 45, 121, 215, 3, 409, 1871, 2149, 4249, 5071, 14277, 55869, 91233}},
+{10055, 17, 36797, {1, 1, 3, 7, 19, 31, 47, 241, 175, 749, 1709, 355, 6037, 10555, 24107, 64683, 42673}},
+{10056, 17, 36805, {1, 3, 7, 11, 5, 21, 105, 137, 307, 101, 417, 1903, 1027, 10257, 27767, 9755, 92105}},
+{10057, 17, 36830, {1, 1, 3, 13, 9, 59, 11, 63, 295, 923, 401, 1471, 3517, 7761, 28855, 11525, 72455}},
+{10058, 17, 36833, {1, 1, 7, 15, 31, 51, 77, 29, 323, 579, 1313, 3441, 2903, 1683, 20605, 8185, 29753}},
+{10059, 17, 36839, {1, 1, 5, 15, 11, 59, 119, 109, 233, 1001, 1527, 2709, 73, 5311, 18313, 27155, 85999}},
+{10060, 17, 36843, {1, 3, 1, 5, 9, 59, 105, 93, 213, 401, 839, 3225, 3263, 13501, 2413, 60367, 121281}},
+{10061, 17, 36860, {1, 1, 7, 3, 19, 25, 75, 27, 325, 435, 527, 1465, 3601, 5785, 6135, 32841, 60129}},
+{10062, 17, 36866, {1, 1, 3, 7, 31, 19, 37, 157, 189, 51, 869, 2963, 5269, 9151, 14845, 30441, 89685}},
+{10063, 17, 36871, {1, 3, 3, 9, 17, 51, 23, 177, 417, 255, 1739, 3085, 7811, 15177, 25433, 38487, 51021}},
+{10064, 17, 36875, {1, 1, 3, 7, 27, 1, 45, 235, 59, 491, 1327, 3967, 7585, 4313, 29669, 47193, 89427}},
+{10065, 17, 36877, {1, 1, 3, 9, 19, 5, 27, 63, 263, 593, 1599, 1311, 1029, 603, 25291, 51391, 98915}},
+{10066, 17, 36880, {1, 3, 3, 15, 11, 7, 97, 99, 263, 155, 437, 3849, 2665, 3371, 8179, 51883, 3601}},
+{10067, 17, 36892, {1, 1, 3, 15, 7, 35, 37, 149, 251, 619, 1423, 553, 4453, 16365, 22543, 6951, 34655}},
+{10068, 17, 36911, {1, 3, 3, 11, 15, 21, 95, 143, 31, 425, 179, 2383, 4799, 7655, 26945, 9273, 103469}},
+{10069, 17, 36914, {1, 3, 1, 9, 13, 49, 3, 117, 361, 459, 227, 2067, 4909, 13461, 22505, 10259, 59697}},
+{10070, 17, 36916, {1, 1, 7, 7, 7, 23, 67, 217, 313, 965, 1747, 995, 579, 6217, 8915, 49329, 851}},
+{10071, 17, 36923, {1, 1, 3, 1, 17, 19, 7, 99, 281, 207, 1685, 2401, 967, 9399, 28741, 28839, 6003}},
+{10072, 17, 36940, {1, 3, 3, 5, 31, 61, 105, 251, 499, 319, 1167, 2203, 1195, 2663, 11797, 12981, 125523}},
+{10073, 17, 36943, {1, 3, 1, 5, 23, 19, 99, 101, 85, 837, 501, 2737, 4051, 2413, 9275, 38995, 21633}},
+{10074, 17, 36948, {1, 3, 7, 13, 17, 17, 119, 75, 281, 527, 1477, 1515, 7765, 5573, 10143, 6219, 57817}},
+{10075, 17, 36957, {1, 1, 5, 11, 19, 35, 85, 171, 107, 905, 1395, 1199, 7345, 15719, 14021, 47425, 36081}},
+{10076, 17, 36958, {1, 1, 3, 9, 9, 63, 109, 15, 323, 73, 1541, 2227, 5197, 12617, 23379, 53415, 105291}},
+{10077, 17, 36967, {1, 3, 3, 5, 5, 41, 85, 99, 3, 895, 1383, 3627, 3897, 1893, 23673, 56501, 78411}},
+{10078, 17, 36974, {1, 1, 7, 1, 25, 27, 45, 185, 475, 577, 1619, 727, 1407, 2383, 9215, 55295, 27349}},
+{10079, 17, 36981, {1, 3, 7, 11, 3, 51, 53, 53, 399, 711, 1075, 511, 5369, 10777, 14419, 63217, 130181}},
+{10080, 17, 37001, {1, 1, 7, 13, 25, 19, 107, 71, 151, 73, 735, 3837, 5307, 10229, 10529, 9989, 111925}},
+{10081, 17, 37012, {1, 1, 1, 15, 19, 59, 65, 77, 465, 957, 1085, 1359, 3959, 15823, 6273, 12565, 126167}},
+{10082, 17, 37015, {1, 1, 5, 5, 31, 53, 23, 173, 407, 795, 41, 3275, 1953, 13673, 26625, 33477, 14149}},
+{10083, 17, 37019, {1, 1, 7, 7, 1, 11, 121, 139, 77, 321, 1939, 2597, 621, 9579, 11629, 13119, 30505}},
+{10084, 17, 37035, {1, 1, 1, 5, 3, 33, 45, 127, 169, 581, 1521, 1019, 6489, 1069, 2469, 40255, 66619}},
+{10085, 17, 37040, {1, 3, 7, 5, 29, 47, 7, 245, 459, 417, 1027, 857, 4905, 11255, 3267, 9491, 78013}},
+{10086, 17, 37063, {1, 3, 5, 9, 25, 49, 61, 215, 19, 731, 303, 1001, 6031, 3705, 7797, 31957, 119383}},
+{10087, 17, 37064, {1, 3, 5, 5, 1, 9, 37, 187, 235, 453, 963, 2833, 3501, 605, 2763, 41215, 93547}},
+{10088, 17, 37069, {1, 3, 1, 1, 21, 3, 41, 53, 425, 687, 1051, 2365, 7835, 3981, 5557, 61993, 127417}},
+{10089, 17, 37077, {1, 3, 3, 7, 13, 61, 41, 189, 261, 163, 1931, 1803, 2379, 16379, 25453, 17911, 123431}},
+{10090, 17, 37093, {1, 1, 7, 15, 23, 21, 95, 7, 27, 897, 721, 3917, 7971, 4643, 5223, 46583, 32453}},
+{10091, 17, 37097, {1, 1, 7, 7, 1, 25, 83, 109, 223, 573, 533, 449, 6477, 10719, 28705, 8283, 94963}},
+{10092, 17, 37106, {1, 1, 5, 13, 21, 45, 63, 31, 21, 223, 31, 1249, 425, 7199, 11539, 7731, 44333}},
+{10093, 17, 37115, {1, 1, 5, 15, 29, 5, 87, 215, 287, 567, 297, 451, 5867, 15511, 1005, 57469, 87257}},
+{10094, 17, 37118, {1, 3, 5, 11, 13, 51, 117, 139, 377, 1015, 1237, 2053, 7625, 1003, 22673, 64345, 16203}},
+{10095, 17, 37123, {1, 1, 3, 15, 19, 39, 73, 205, 185, 331, 869, 857, 5043, 7247, 25253, 5799, 64857}},
+{10096, 17, 37129, {1, 3, 7, 1, 25, 63, 125, 47, 161, 289, 373, 1603, 1663, 1123, 28907, 37855, 47935}},
+{10097, 17, 37130, {1, 1, 7, 15, 9, 17, 97, 63, 79, 123, 1357, 3055, 2323, 16083, 21861, 38743, 81291}},
+{10098, 17, 37135, {1, 1, 3, 15, 5, 23, 7, 159, 127, 511, 55, 2691, 6823, 16151, 8059, 43021, 18911}},
+{10099, 17, 37137, {1, 1, 3, 9, 27, 19, 41, 75, 375, 921, 1745, 35, 1189, 5857, 29869, 43827, 16899}},
+{10100, 17, 37138, {1, 1, 1, 5, 3, 21, 13, 235, 51, 529, 291, 2619, 5419, 12573, 10907, 8865, 54987}},
+{10101, 17, 37140, {1, 3, 1, 13, 7, 9, 85, 131, 159, 743, 1671, 3001, 4559, 12343, 27563, 49941, 68447}},
+{10102, 17, 37144, {1, 1, 7, 5, 17, 61, 99, 63, 199, 383, 485, 2569, 5329, 645, 18805, 20421, 101229}},
+{10103, 17, 37149, {1, 1, 1, 15, 3, 59, 41, 247, 213, 843, 2003, 125, 7755, 4203, 20277, 47195, 48249}},
+{10104, 17, 37156, {1, 1, 5, 15, 15, 17, 113, 101, 27, 811, 1791, 1777, 749, 14317, 17267, 54467, 118369}},
+{10105, 17, 37159, {1, 3, 3, 3, 19, 37, 23, 117, 275, 733, 1259, 567, 1769, 12071, 5413, 49411, 99259}},
+{10106, 17, 37163, {1, 3, 1, 11, 3, 27, 103, 113, 251, 731, 481, 2771, 3205, 14151, 19403, 30307, 114691}},
+{10107, 17, 37165, {1, 1, 5, 15, 19, 15, 103, 25, 357, 197, 1437, 3621, 4747, 773, 5769, 33465, 28307}},
+{10108, 17, 37183, {1, 1, 5, 15, 5, 17, 89, 87, 423, 611, 549, 2549, 1275, 14545, 2931, 3853, 24577}},
+{10109, 17, 37185, {1, 3, 5, 1, 15, 13, 29, 49, 279, 495, 697, 1015, 4899, 15977, 10765, 47979, 40237}},
+{10110, 17, 37195, {1, 3, 3, 9, 31, 51, 21, 5, 279, 947, 1871, 3075, 5433, 1631, 30075, 30517, 99609}},
+{10111, 17, 37198, {1, 1, 1, 15, 19, 63, 79, 81, 19, 629, 617, 1887, 4015, 15501, 10551, 56419, 108739}},
+{10112, 17, 37203, {1, 1, 3, 9, 31, 15, 45, 37, 43, 349, 1357, 189, 4551, 9363, 15683, 48445, 89279}},
+{10113, 17, 37212, {1, 1, 1, 1, 17, 19, 121, 119, 397, 947, 1797, 613, 1627, 9591, 15779, 62295, 118843}},
+{10114, 17, 37233, {1, 1, 1, 7, 25, 55, 71, 227, 507, 497, 1209, 2919, 5733, 15785, 21437, 40043, 2325}},
+{10115, 17, 37236, {1, 1, 1, 15, 11, 1, 59, 93, 69, 859, 67, 1831, 6345, 5643, 29515, 20337, 77281}},
+{10116, 17, 37240, {1, 3, 5, 9, 19, 53, 59, 63, 161, 853, 697, 1441, 3457, 951, 29659, 15337, 38443}},
+{10117, 17, 37256, {1, 3, 1, 9, 7, 21, 73, 81, 89, 291, 411, 3793, 4639, 2829, 6855, 38113, 32875}},
+{10118, 17, 37264, {1, 1, 7, 1, 15, 3, 79, 35, 363, 459, 907, 1157, 5165, 8021, 10135, 36367, 111991}},
+{10119, 17, 37267, {1, 3, 5, 13, 21, 23, 63, 155, 393, 869, 1553, 3345, 2711, 8249, 24907, 28111, 36667}},
+{10120, 17, 37273, {1, 1, 7, 11, 15, 25, 29, 93, 45, 637, 1473, 2053, 313, 8047, 23411, 8643, 2925}},
+{10121, 17, 37295, {1, 3, 7, 9, 11, 5, 73, 69, 311, 949, 2017, 259, 2861, 10547, 12017, 34125, 74101}},
+{10122, 17, 37315, {1, 3, 1, 13, 19, 61, 115, 59, 447, 787, 1621, 2221, 7841, 5329, 18137, 13857, 51889}},
+{10123, 17, 37330, {1, 3, 7, 13, 1, 23, 117, 49, 449, 541, 7, 3269, 1725, 6677, 15979, 4319, 40919}},
+{10124, 17, 37336, {1, 3, 5, 5, 17, 29, 35, 123, 3, 481, 305, 1589, 4319, 5183, 31907, 53019, 49375}},
+{10125, 17, 37339, {1, 3, 1, 7, 11, 59, 79, 89, 479, 821, 763, 3597, 7457, 13775, 11213, 22777, 80379}},
+{10126, 17, 37342, {1, 1, 3, 7, 13, 17, 65, 155, 335, 671, 331, 895, 7459, 1719, 10675, 60109, 63143}},
+{10127, 17, 37357, {1, 3, 5, 1, 29, 33, 105, 249, 61, 469, 1629, 3777, 4393, 14457, 11701, 6065, 2635}},
+{10128, 17, 37365, {1, 3, 7, 3, 13, 13, 21, 15, 363, 63, 1263, 1479, 1459, 6577, 7481, 30393, 19831}},
+{10129, 17, 37372, {1, 1, 3, 7, 29, 25, 71, 247, 501, 815, 1697, 2457, 4975, 3821, 25759, 24901, 120603}},
+{10130, 17, 37381, {1, 1, 1, 5, 19, 3, 59, 163, 367, 779, 47, 905, 897, 3293, 13951, 25497, 99151}},
+{10131, 17, 37399, {1, 3, 1, 5, 11, 47, 21, 171, 123, 215, 1797, 3741, 4921, 7213, 4847, 3239, 114839}},
+{10132, 17, 37416, {1, 3, 3, 5, 23, 63, 57, 31, 409, 431, 1337, 3301, 4695, 7401, 9383, 12639, 34347}},
+{10133, 17, 37429, {1, 3, 3, 5, 27, 57, 29, 147, 111, 1015, 815, 1509, 3967, 7255, 15109, 26001, 90775}},
+{10134, 17, 37436, {1, 1, 7, 13, 31, 45, 21, 99, 377, 399, 255, 459, 6043, 11055, 5675, 3333, 32813}},
+{10135, 17, 37442, {1, 3, 1, 7, 1, 55, 121, 77, 429, 433, 297, 3181, 3029, 6777, 22795, 61515, 58553}},
+{10136, 17, 37451, {1, 3, 5, 9, 1, 19, 121, 1, 499, 589, 1597, 2219, 1029, 4223, 31613, 45685, 53517}},
+{10137, 17, 37453, {1, 3, 1, 9, 29, 39, 83, 193, 43, 41, 467, 1711, 2761, 10635, 15503, 38043, 120615}},
+{10138, 17, 37475, {1, 1, 7, 13, 27, 61, 1, 181, 163, 613, 221, 63, 6147, 8215, 15093, 2417, 71489}},
+{10139, 17, 37482, {1, 1, 7, 15, 31, 63, 47, 139, 427, 847, 53, 1275, 1019, 9455, 12537, 22467, 129947}},
+{10140, 17, 37489, {1, 1, 5, 3, 7, 1, 67, 189, 501, 319, 37, 2849, 2535, 10917, 11115, 48083, 67255}},
+{10141, 17, 37490, {1, 1, 3, 13, 7, 31, 69, 137, 19, 73, 1553, 3945, 2381, 8761, 3977, 24291, 128189}},
+{10142, 17, 37523, {1, 3, 5, 11, 1, 59, 43, 229, 301, 771, 559, 195, 1675, 12605, 22211, 2915, 90351}},
+{10143, 17, 37525, {1, 3, 3, 9, 13, 27, 97, 33, 273, 229, 1537, 1179, 6985, 11679, 17889, 44673, 126641}},
+{10144, 17, 37530, {1, 1, 7, 3, 31, 29, 41, 123, 491, 639, 269, 45, 2155, 14103, 6725, 50781, 42785}},
+{10145, 17, 37535, {1, 3, 5, 9, 9, 11, 89, 249, 475, 701, 1029, 985, 8167, 439, 31897, 24529, 45759}},
+{10146, 17, 37539, {1, 1, 5, 11, 9, 39, 127, 179, 15, 135, 1437, 3331, 5553, 939, 15319, 64937, 110783}},
+{10147, 17, 37548, {1, 3, 1, 5, 7, 61, 1, 219, 111, 801, 85, 3427, 2533, 12861, 5395, 28969, 48091}},
+{10148, 17, 37559, {1, 1, 1, 9, 23, 57, 77, 41, 61, 635, 457, 231, 8121, 5349, 27021, 64807, 87563}},
+{10149, 17, 37560, {1, 3, 5, 7, 31, 31, 101, 155, 255, 199, 1973, 903, 7681, 15379, 12845, 47943, 60663}},
+{10150, 17, 37566, {1, 1, 5, 7, 1, 7, 71, 121, 323, 669, 193, 1209, 267, 9, 21223, 22037, 121567}},
+{10151, 17, 37597, {1, 3, 1, 5, 17, 29, 97, 189, 219, 813, 187, 1763, 5817, 13185, 467, 40159, 18037}},
+{10152, 17, 37601, {1, 1, 7, 9, 7, 59, 3, 189, 379, 843, 631, 3945, 2909, 4191, 30343, 11223, 105629}},
+{10153, 17, 37602, {1, 3, 1, 3, 15, 17, 23, 73, 439, 699, 657, 451, 6139, 15869, 4101, 32327, 55485}},
+{10154, 17, 37604, {1, 3, 3, 5, 21, 37, 87, 157, 205, 493, 705, 1539, 2193, 13539, 2797, 49063, 55595}},
+{10155, 17, 37616, {1, 1, 5, 11, 11, 41, 5, 131, 445, 781, 1153, 1371, 6763, 3101, 32449, 16065, 86579}},
+{10156, 17, 37622, {1, 3, 5, 1, 23, 51, 97, 87, 161, 261, 269, 2035, 2139, 3049, 32217, 25189, 93571}},
+{10157, 17, 37658, {1, 3, 1, 11, 23, 1, 111, 45, 19, 19, 1767, 3571, 6027, 3593, 17453, 53821, 28121}},
+{10158, 17, 37660, {1, 3, 3, 5, 17, 5, 17, 247, 5, 73, 29, 443, 7713, 15803, 22311, 56755, 100119}},
+{10159, 17, 37667, {1, 3, 1, 13, 7, 1, 41, 139, 317, 977, 1529, 1217, 529, 3231, 21491, 28461, 96699}},
+{10160, 17, 37684, {1, 3, 1, 13, 11, 41, 103, 99, 81, 849, 231, 1729, 761, 711, 11499, 25581, 59433}},
+{10161, 17, 37693, {1, 1, 5, 5, 13, 33, 79, 175, 89, 29, 295, 2867, 1197, 6137, 32063, 23471, 21721}},
+{10162, 17, 37694, {1, 1, 5, 15, 17, 29, 123, 249, 273, 437, 443, 2601, 3957, 11955, 261, 54863, 85727}},
+{10163, 17, 37696, {1, 1, 5, 13, 3, 31, 57, 205, 3, 903, 905, 3851, 757, 13761, 28615, 48185, 33227}},
+{10164, 17, 37706, {1, 3, 7, 1, 1, 1, 107, 15, 307, 405, 45, 297, 4365, 1569, 9263, 13685, 36027}},
+{10165, 17, 37711, {1, 3, 1, 9, 17, 61, 113, 121, 249, 743, 191, 2523, 6621, 5395, 23797, 57975, 51675}},
+{10166, 17, 37730, {1, 3, 5, 3, 27, 21, 49, 113, 59, 989, 501, 2651, 3827, 5121, 29667, 32903, 84199}},
+{10167, 17, 37735, {1, 1, 7, 7, 19, 43, 11, 191, 143, 93, 1167, 2521, 2569, 12187, 28575, 13073, 113545}},
+{10168, 17, 37742, {1, 1, 7, 3, 27, 39, 11, 85, 61, 979, 49, 2191, 2607, 13967, 28123, 48903, 16327}},
+{10169, 17, 37744, {1, 1, 5, 3, 17, 17, 1, 149, 189, 1017, 705, 3119, 6441, 1595, 30533, 18795, 34265}},
+{10170, 17, 37759, {1, 1, 3, 11, 31, 11, 125, 109, 39, 41, 191, 2615, 1377, 16089, 8793, 31425, 90507}},
+{10171, 17, 37777, {1, 1, 1, 1, 23, 15, 21, 245, 337, 649, 585, 2893, 927, 883, 15119, 2595, 127963}},
+{10172, 17, 37783, {1, 3, 5, 3, 13, 17, 123, 167, 471, 5, 1671, 2787, 5081, 12903, 4257, 19213, 2503}},
+{10173, 17, 37784, {1, 1, 5, 7, 21, 57, 75, 171, 509, 591, 85, 407, 1747, 6375, 19641, 55683, 111289}},
+{10174, 17, 37793, {1, 1, 7, 7, 3, 31, 121, 111, 19, 361, 1033, 4033, 2359, 13451, 15095, 61817, 69683}},
+{10175, 17, 37800, {1, 1, 5, 9, 21, 33, 83, 179, 387, 69, 1085, 2147, 2751, 10899, 16971, 40623, 110891}},
+{10176, 17, 37818, {1, 1, 7, 9, 11, 45, 81, 71, 73, 551, 145, 159, 7519, 3459, 5197, 48913, 59045}},
+{10177, 17, 37823, {1, 3, 1, 3, 7, 35, 17, 249, 207, 767, 1189, 1451, 4351, 3673, 28807, 671, 69271}},
+{10178, 17, 37825, {1, 3, 1, 15, 21, 27, 81, 243, 55, 191, 1497, 3205, 1601, 705, 14891, 14403, 130729}},
+{10179, 17, 37828, {1, 3, 1, 7, 17, 43, 41, 123, 507, 201, 1873, 3547, 5681, 1819, 4251, 39661, 57923}},
+{10180, 17, 37832, {1, 3, 1, 9, 3, 59, 57, 235, 445, 479, 961, 1937, 2229, 2511, 15235, 59707, 72261}},
+{10181, 17, 37849, {1, 1, 5, 13, 9, 63, 67, 217, 63, 259, 175, 2469, 3075, 12365, 7727, 42215, 12635}},
+{10182, 17, 37856, {1, 1, 3, 13, 11, 9, 125, 131, 17, 399, 675, 767, 7349, 10433, 21615, 46823, 3955}},
+{10183, 17, 37861, {1, 1, 3, 15, 19, 53, 73, 171, 125, 531, 1093, 1449, 2931, 10897, 12263, 9799, 98251}},
+{10184, 17, 37862, {1, 1, 5, 5, 11, 27, 33, 9, 503, 545, 339, 1099, 1973, 13261, 26871, 14569, 22755}},
+{10185, 17, 37886, {1, 3, 7, 1, 19, 5, 79, 133, 247, 1021, 1431, 3707, 4603, 3285, 5469, 46963, 98203}},
+{10186, 17, 37893, {1, 3, 5, 7, 15, 11, 87, 169, 495, 763, 1295, 2533, 4213, 8671, 21683, 12521, 90071}},
+{10187, 17, 37915, {1, 1, 3, 1, 17, 55, 7, 165, 313, 659, 49, 377, 6675, 15255, 9881, 11751, 87789}},
+{10188, 17, 37922, {1, 3, 1, 15, 3, 49, 27, 109, 145, 1011, 1939, 3201, 6141, 7229, 20741, 59285, 129365}},
+{10189, 17, 37936, {1, 1, 5, 5, 5, 51, 117, 17, 363, 795, 1343, 2637, 6209, 1045, 22515, 10687, 48487}},
+{10190, 17, 37939, {1, 1, 5, 15, 1, 37, 91, 241, 245, 703, 505, 3369, 6163, 10265, 12497, 46301, 109523}},
+{10191, 17, 37945, {1, 1, 7, 11, 3, 37, 67, 35, 229, 823, 193, 913, 3331, 4475, 9271, 11859, 52709}},
+{10192, 17, 37956, {1, 1, 3, 3, 7, 25, 61, 159, 81, 1011, 1491, 1439, 1031, 765, 9839, 61891, 20969}},
+{10193, 17, 37960, {1, 3, 3, 7, 25, 39, 73, 59, 101, 101, 225, 1105, 5943, 5223, 12585, 16411, 62699}},
+{10194, 17, 37971, {1, 1, 7, 5, 25, 19, 27, 113, 465, 319, 2035, 2127, 1319, 11793, 26821, 44805, 28217}},
+{10195, 17, 37980, {1, 3, 5, 11, 7, 9, 81, 107, 67, 31, 1503, 3303, 4451, 11417, 32681, 26861, 54845}},
+{10196, 17, 38002, {1, 3, 1, 1, 3, 51, 93, 235, 93, 247, 2027, 1517, 6797, 1703, 10233, 45313, 60771}},
+{10197, 17, 38007, {1, 3, 3, 15, 25, 11, 83, 77, 413, 189, 119, 597, 2199, 12347, 7935, 40191, 125569}},
+{10198, 17, 38018, {1, 3, 7, 9, 11, 3, 77, 31, 89, 163, 1993, 3017, 3973, 10943, 22247, 45565, 7261}},
+{10199, 17, 38020, {1, 3, 7, 7, 15, 13, 7, 155, 373, 893, 607, 3521, 7455, 13809, 6145, 31743, 86329}},
+{10200, 17, 38038, {1, 1, 1, 15, 25, 41, 111, 65, 11, 627, 59, 2725, 995, 3761, 25361, 45189, 48355}},
+{10201, 17, 38041, {1, 1, 7, 5, 29, 43, 91, 139, 323, 503, 679, 4079, 403, 1899, 1425, 26989, 117057}},
+{10202, 17, 38044, {1, 3, 5, 13, 1, 17, 19, 61, 205, 833, 345, 1031, 7995, 999, 27469, 15943, 88011}},
+{10203, 17, 38048, {1, 3, 1, 7, 23, 49, 123, 9, 11, 761, 1163, 669, 3837, 15225, 23393, 19513, 9457}},
+{10204, 17, 38051, {1, 1, 5, 9, 9, 33, 29, 123, 277, 433, 1799, 1583, 3133, 13461, 26443, 15807, 80173}},
+{10205, 17, 38054, {1, 3, 7, 3, 31, 29, 77, 105, 297, 617, 491, 647, 6541, 5033, 31841, 48405, 126985}},
+{10206, 17, 38065, {1, 1, 5, 5, 31, 39, 17, 25, 3, 279, 89, 3985, 3333, 5681, 3701, 36319, 12585}},
+{10207, 17, 38066, {1, 1, 7, 13, 13, 19, 93, 129, 51, 875, 1083, 1739, 5193, 6217, 10033, 51839, 66071}},
+{10208, 17, 38077, {1, 1, 7, 9, 15, 23, 93, 121, 507, 115, 707, 3181, 1521, 9609, 4577, 54389, 19167}},
+{10209, 17, 38090, {1, 3, 3, 7, 17, 51, 19, 29, 387, 711, 1105, 1627, 4421, 15183, 14149, 26485, 106425}},
+{10210, 17, 38109, {1, 3, 3, 15, 25, 59, 11, 45, 259, 1019, 1997, 3373, 5083, 5701, 30217, 44845, 67559}},
+{10211, 17, 38119, {1, 3, 3, 9, 17, 47, 5, 103, 477, 785, 235, 1523, 1505, 8811, 15255, 53493, 4383}},
+{10212, 17, 38120, {1, 3, 7, 3, 7, 37, 73, 247, 397, 409, 1065, 525, 5665, 8533, 30627, 19035, 22937}},
+{10213, 17, 38123, {1, 3, 3, 15, 15, 47, 123, 215, 413, 249, 55, 2563, 8033, 8743, 18659, 7947, 56057}},
+{10214, 17, 38146, {1, 1, 7, 3, 11, 61, 103, 109, 313, 293, 149, 999, 901, 13387, 15351, 52973, 68385}},
+{10215, 17, 38155, {1, 1, 1, 5, 31, 13, 57, 43, 263, 141, 335, 2777, 3435, 4231, 20623, 2597, 33481}},
+{10216, 17, 38160, {1, 1, 7, 13, 21, 53, 101, 75, 237, 275, 1903, 3501, 8023, 3651, 19609, 44417, 60287}},
+{10217, 17, 38181, {1, 1, 1, 1, 13, 43, 83, 255, 355, 567, 1781, 2943, 1061, 2701, 24861, 58381, 60255}},
+{10218, 17, 38188, {1, 1, 3, 9, 25, 5, 81, 85, 445, 857, 517, 3687, 2641, 6699, 19273, 4481, 8715}},
+{10219, 17, 38199, {1, 1, 3, 7, 17, 39, 33, 31, 29, 269, 379, 3149, 4731, 10387, 7941, 49199, 18423}},
+{10220, 17, 38203, {1, 1, 7, 15, 19, 37, 105, 157, 185, 1023, 1865, 53, 6765, 3, 22897, 17019, 109521}},
+{10221, 17, 38225, {1, 3, 7, 5, 5, 7, 117, 211, 19, 149, 1091, 3721, 201, 4455, 18965, 51401, 67225}},
+{10222, 17, 38226, {1, 3, 5, 11, 1, 55, 101, 41, 469, 271, 1251, 949, 861, 11903, 14773, 25675, 114161}},
+{10223, 17, 38231, {1, 1, 7, 7, 23, 13, 103, 185, 137, 575, 797, 1195, 5301, 13307, 12043, 26003, 31719}},
+{10224, 17, 38244, {1, 1, 5, 7, 11, 51, 17, 71, 321, 559, 1461, 3571, 1033, 15575, 7097, 14703, 52359}},
+{10225, 17, 38248, {1, 1, 1, 5, 21, 9, 123, 211, 233, 81, 111, 1433, 7825, 11771, 30743, 23993, 48717}},
+{10226, 17, 38259, {1, 3, 5, 15, 7, 3, 109, 33, 99, 135, 393, 3463, 7271, 14387, 30723, 19079, 83073}},
+{10227, 17, 38268, {1, 3, 3, 15, 3, 51, 77, 219, 409, 11, 67, 3787, 5155, 9259, 7185, 21611, 32577}},
+{10228, 17, 38271, {1, 3, 7, 1, 5, 49, 125, 85, 151, 301, 887, 1765, 5, 12849, 11775, 11319, 29547}},
+{10229, 17, 38272, {1, 1, 7, 11, 17, 15, 105, 29, 327, 637, 1493, 3361, 1823, 14709, 18355, 741, 57807}},
+{10230, 17, 38278, {1, 1, 7, 7, 3, 27, 15, 113, 227, 617, 1543, 1719, 8065, 13627, 23525, 20511, 64759}},
+{10231, 17, 38292, {1, 1, 3, 3, 21, 47, 89, 177, 381, 711, 1367, 2405, 887, 2351, 22957, 49679, 5963}},
+{10232, 17, 38296, {1, 3, 7, 9, 7, 1, 39, 71, 9, 275, 875, 1385, 6215, 10419, 25921, 63427, 18031}},
+{10233, 17, 38318, {1, 1, 7, 5, 23, 57, 27, 7, 445, 111, 953, 37, 2769, 1967, 8165, 35417, 36471}},
+{10234, 17, 38326, {1, 3, 3, 11, 23, 17, 119, 113, 275, 625, 1957, 2795, 3815, 7937, 11049, 31939, 128053}},
+{10235, 17, 38338, {1, 3, 3, 5, 7, 35, 45, 41, 251, 491, 1953, 3201, 751, 5705, 595, 27003, 77917}},
+{10236, 17, 38347, {1, 3, 5, 3, 25, 17, 55, 137, 299, 541, 289, 2225, 4667, 3569, 13687, 36193, 75705}},
+{10237, 17, 38373, {1, 1, 7, 15, 21, 9, 27, 157, 469, 441, 193, 2097, 4863, 2147, 31197, 24283, 102039}},
+{10238, 17, 38378, {1, 1, 1, 11, 17, 39, 73, 37, 91, 121, 1283, 367, 1875, 14365, 28349, 60993, 10791}},
+{10239, 17, 38380, {1, 3, 5, 9, 13, 63, 89, 53, 459, 347, 343, 2321, 5237, 2497, 279, 63833, 10709}},
+{10240, 17, 38388, {1, 1, 1, 15, 11, 23, 41, 79, 45, 567, 1217, 1669, 1679, 2561, 16191, 49041, 4081}},
+{10241, 17, 38392, {1, 3, 1, 5, 3, 9, 103, 245, 47, 561, 229, 2945, 6563, 797, 21571, 25769, 12995}},
+{10242, 17, 38397, {1, 3, 5, 7, 5, 47, 99, 55, 49, 951, 765, 2095, 8021, 4389, 20501, 26047, 119967}},
+{10243, 17, 38398, {1, 1, 5, 3, 15, 47, 81, 121, 379, 527, 419, 1093, 367, 10939, 17181, 13905, 49859}},
+{10244, 17, 38401, {1, 3, 3, 5, 7, 59, 53, 255, 131, 685, 1677, 3757, 3601, 89, 6225, 32705, 28287}},
+{10245, 17, 38404, {1, 3, 7, 1, 7, 55, 85, 47, 425, 793, 605, 2313, 791, 4247, 9693, 10633, 82915}},
+{10246, 17, 38422, {1, 3, 5, 13, 13, 49, 127, 213, 27, 657, 419, 55, 6289, 295, 4211, 8899, 120237}},
+{10247, 17, 38432, {1, 1, 7, 11, 11, 7, 75, 35, 315, 125, 517, 3677, 2323, 6897, 11535, 36789, 20179}},
+{10248, 17, 38469, {1, 1, 5, 9, 11, 3, 77, 43, 323, 647, 383, 485, 3937, 9081, 27745, 59149, 103433}},
+{10249, 17, 38482, {1, 3, 3, 13, 3, 47, 91, 81, 115, 625, 2003, 3601, 531, 113, 20719, 47391, 111039}},
+{10250, 17, 38493, {1, 1, 3, 13, 5, 49, 123, 189, 109, 325, 497, 923, 3861, 14029, 22651, 19857, 104801}},
+{10251, 17, 38507, {1, 1, 5, 3, 29, 23, 25, 23, 501, 371, 1983, 1303, 2261, 11865, 13281, 2587, 75741}},
+{10252, 17, 38518, {1, 3, 5, 13, 27, 61, 45, 11, 157, 615, 897, 1529, 2213, 757, 30105, 2011, 27267}},
+{10253, 17, 38521, {1, 3, 5, 13, 29, 31, 95, 159, 449, 307, 1575, 1897, 2301, 14023, 6921, 30543, 31843}},
+{10254, 17, 38527, {1, 3, 3, 5, 1, 1, 79, 147, 437, 623, 1161, 3407, 3073, 15425, 4329, 19651, 90597}},
+{10255, 17, 38533, {1, 1, 1, 11, 17, 7, 43, 171, 447, 841, 573, 3775, 5517, 3629, 18241, 31907, 51423}},
+{10256, 17, 38534, {1, 1, 3, 7, 15, 53, 111, 203, 171, 963, 1983, 2017, 6067, 12281, 3417, 7431, 33803}},
+{10257, 17, 38552, {1, 3, 1, 1, 31, 49, 125, 65, 7, 579, 1709, 1815, 2643, 11537, 30093, 11813, 65157}},
+{10258, 17, 38561, {1, 3, 7, 15, 1, 3, 61, 21, 163, 809, 1263, 2577, 7811, 12611, 6921, 18529, 25709}},
+{10259, 17, 38576, {1, 1, 3, 5, 17, 43, 13, 81, 29, 905, 1975, 589, 5875, 15683, 29447, 46453, 127911}},
+{10260, 17, 38581, {1, 1, 5, 3, 19, 29, 11, 67, 375, 771, 755, 3939, 1465, 3275, 1119, 24695, 105105}},
+{10261, 17, 38585, {1, 1, 3, 11, 23, 37, 33, 135, 329, 733, 245, 2353, 2547, 7823, 16265, 5975, 37877}},
+{10262, 17, 38594, {1, 3, 7, 13, 15, 9, 47, 181, 239, 723, 1219, 409, 1685, 5493, 14189, 18107, 26231}},
+{10263, 17, 38606, {1, 1, 5, 1, 9, 1, 65, 125, 439, 591, 1499, 3797, 5879, 4231, 18655, 9643, 42265}},
+{10264, 17, 38613, {1, 1, 7, 7, 11, 51, 111, 47, 169, 39, 45, 2211, 6729, 10987, 22367, 27257, 112711}},
+{10265, 17, 38617, {1, 3, 5, 3, 19, 61, 89, 185, 23, 793, 1457, 1743, 3743, 15063, 14053, 50201, 109175}},
+{10266, 17, 38634, {1, 1, 5, 13, 31, 51, 69, 135, 427, 527, 1673, 2393, 5829, 683, 1509, 56617, 105735}},
+{10267, 17, 38644, {1, 1, 1, 15, 31, 51, 3, 105, 125, 593, 1589, 3217, 7449, 525, 30599, 11689, 14781}},
+{10268, 17, 38651, {1, 1, 1, 11, 9, 37, 113, 45, 487, 961, 87, 1461, 3521, 8645, 19771, 43817, 43277}},
+{10269, 17, 38661, {1, 1, 7, 3, 7, 11, 45, 97, 11, 593, 319, 2597, 37, 4157, 6669, 29929, 17213}},
+{10270, 17, 38665, {1, 3, 7, 3, 29, 21, 101, 93, 289, 975, 1937, 3423, 757, 7075, 12575, 26801, 90989}},
+{10271, 17, 38668, {1, 1, 7, 15, 25, 49, 49, 149, 503, 365, 1359, 2155, 7977, 14955, 18439, 44269, 88995}},
+{10272, 17, 38674, {1, 3, 7, 13, 25, 27, 15, 67, 157, 873, 339, 2143, 1405, 12209, 30939, 36109, 107699}},
+{10273, 17, 38689, {1, 3, 5, 5, 21, 33, 121, 95, 61, 159, 1423, 2899, 3811, 263, 9139, 54481, 107375}},
+{10274, 17, 38695, {1, 1, 7, 7, 13, 49, 83, 53, 267, 131, 673, 3945, 5255, 2009, 21017, 41749, 44817}},
+{10275, 17, 38696, {1, 3, 1, 13, 25, 57, 125, 5, 323, 653, 221, 2013, 7225, 8719, 28049, 41953, 14725}},
+{10276, 17, 38707, {1, 3, 7, 7, 5, 13, 35, 161, 221, 951, 769, 717, 267, 2233, 23387, 47411, 95739}},
+{10277, 17, 38710, {1, 3, 7, 11, 23, 47, 37, 67, 501, 159, 763, 4045, 5125, 5667, 9895, 33041, 101171}},
+{10278, 17, 38716, {1, 1, 7, 1, 31, 31, 111, 183, 33, 895, 1819, 3593, 1285, 10145, 3679, 36615, 82863}},
+{10279, 17, 38733, {1, 3, 5, 7, 21, 59, 55, 163, 139, 855, 1903, 3229, 3745, 10289, 28831, 46895, 12647}},
+{10280, 17, 38736, {1, 3, 7, 9, 25, 31, 113, 177, 459, 201, 565, 2089, 725, 9273, 26249, 5987, 49573}},
+{10281, 17, 38742, {1, 1, 7, 15, 3, 37, 49, 145, 121, 803, 1197, 2797, 21, 833, 2277, 28189, 93171}},
+{10282, 17, 38751, {1, 1, 7, 7, 13, 31, 93, 153, 345, 363, 1825, 1481, 3347, 13277, 26119, 63153, 118231}},
+{10283, 17, 38752, {1, 3, 1, 11, 31, 9, 33, 95, 433, 595, 1131, 465, 1797, 15453, 32527, 40789, 37799}},
+{10284, 17, 38775, {1, 1, 5, 11, 31, 29, 83, 33, 243, 633, 1325, 3843, 7717, 851, 29789, 48827, 89209}},
+{10285, 17, 38779, {1, 1, 3, 7, 25, 31, 127, 219, 281, 51, 1843, 3363, 5985, 1697, 3083, 18967, 117421}},
+{10286, 17, 38792, {1, 3, 7, 9, 1, 19, 125, 199, 41, 117, 903, 1131, 7731, 14431, 24753, 62841, 50251}},
+{10287, 17, 38798, {1, 3, 5, 5, 11, 37, 19, 249, 97, 59, 1849, 1151, 2171, 1217, 31277, 26547, 86601}},
+{10288, 17, 38819, {1, 3, 3, 7, 29, 35, 21, 7, 93, 971, 1155, 1847, 89, 6759, 29611, 40793, 88327}},
+{10289, 17, 38822, {1, 3, 5, 5, 29, 23, 91, 71, 479, 943, 1839, 3699, 2491, 9603, 15061, 43221, 20435}},
+{10290, 17, 38839, {1, 3, 3, 7, 29, 11, 15, 83, 21, 585, 501, 161, 4797, 11243, 14879, 12519, 19069}},
+{10291, 17, 38851, {1, 1, 5, 15, 13, 37, 9, 215, 433, 925, 987, 3253, 8027, 7013, 20801, 12891, 36497}},
+{10292, 17, 38854, {1, 3, 7, 1, 15, 31, 95, 85, 355, 1013, 1963, 2943, 1925, 13691, 15237, 28943, 63873}},
+{10293, 17, 38863, {1, 3, 3, 1, 17, 21, 99, 201, 465, 819, 665, 901, 2671, 2457, 29603, 35275, 28339}},
+{10294, 17, 38865, {1, 1, 1, 9, 5, 23, 111, 107, 27, 433, 1341, 91, 6879, 1933, 25433, 37435, 99061}},
+{10295, 17, 38887, {1, 3, 5, 13, 11, 55, 27, 151, 397, 591, 89, 1221, 5581, 2701, 15033, 41879, 71415}},
+{10296, 17, 38896, {1, 3, 3, 5, 17, 35, 15, 119, 487, 903, 875, 3391, 7731, 12181, 27823, 32561, 59133}},
+{10297, 17, 38901, {1, 1, 5, 7, 15, 33, 67, 53, 307, 947, 857, 2713, 803, 765, 4175, 15513, 23985}},
+{10298, 17, 38912, {1, 3, 1, 15, 23, 11, 15, 101, 467, 429, 153, 3205, 5627, 7555, 22515, 12721, 7905}},
+{10299, 17, 38918, {1, 1, 3, 7, 19, 61, 55, 187, 413, 49, 1031, 3415, 3903, 6933, 20017, 50429, 116407}},
+{10300, 17, 38929, {1, 3, 1, 13, 13, 15, 33, 1, 403, 441, 1969, 775, 2209, 15061, 15657, 28819, 62705}},
+{10301, 17, 38941, {1, 1, 5, 13, 13, 47, 67, 97, 87, 677, 1639, 3281, 1395, 8499, 18449, 49935, 25775}},
+{10302, 17, 38948, {1, 3, 3, 13, 7, 13, 77, 45, 405, 881, 293, 2263, 6517, 15415, 25809, 5681, 31327}},
+{10303, 17, 38965, {1, 3, 7, 5, 5, 51, 63, 171, 401, 671, 1631, 1735, 7361, 8741, 31933, 44761, 12209}},
+{10304, 17, 38969, {1, 1, 7, 3, 13, 3, 39, 223, 105, 781, 241, 2895, 5165, 12135, 5683, 63009, 58399}},
+{10305, 17, 38977, {1, 1, 5, 11, 29, 11, 37, 1, 445, 157, 219, 2269, 3025, 5721, 24539, 41879, 128445}},
+{10306, 17, 38987, {1, 3, 7, 15, 23, 21, 125, 105, 141, 101, 1981, 3765, 5349, 13781, 10055, 7069, 77721}},
+{10307, 17, 38992, {1, 1, 7, 9, 3, 37, 111, 95, 33, 53, 1021, 1629, 6945, 4657, 19977, 36715, 101401}},
+{10308, 17, 38995, {1, 3, 3, 1, 9, 5, 65, 77, 459, 471, 1045, 2351, 2787, 13001, 16211, 22585, 116205}},
+{10309, 17, 39001, {1, 1, 7, 9, 25, 41, 21, 187, 471, 997, 583, 2243, 6537, 11837, 21089, 51051, 98517}},
+{10310, 17, 39004, {1, 1, 7, 5, 13, 15, 81, 39, 223, 935, 951, 5, 4315, 11789, 18365, 49647, 92461}},
+{10311, 17, 39011, {1, 3, 3, 5, 11, 15, 97, 245, 43, 819, 1415, 3287, 2051, 15879, 21727, 54467, 53875}},
+{10312, 17, 39018, {1, 3, 1, 11, 7, 47, 125, 155, 301, 469, 805, 3789, 6967, 12117, 30369, 55183, 12671}},
+{10313, 17, 39025, {1, 1, 3, 13, 17, 25, 45, 199, 69, 1015, 581, 3891, 7743, 9273, 7639, 59055, 93923}},
+{10314, 17, 39031, {1, 1, 5, 11, 9, 47, 39, 251, 489, 47, 83, 2147, 943, 1959, 21361, 5325, 106079}},
+{10315, 17, 39032, {1, 3, 5, 13, 27, 59, 35, 1, 155, 367, 165, 2665, 3021, 1127, 28585, 45347, 66763}},
+{10316, 17, 39044, {1, 3, 1, 5, 31, 31, 15, 125, 485, 581, 1987, 2293, 4573, 11431, 20773, 58661, 79869}},
+{10317, 17, 39056, {1, 3, 5, 15, 31, 11, 109, 229, 11, 831, 1545, 919, 6125, 9337, 4169, 58041, 67577}},
+{10318, 17, 39065, {1, 1, 1, 3, 1, 43, 13, 89, 89, 863, 1607, 1897, 4831, 5239, 24503, 51853, 126983}},
+{10319, 17, 39066, {1, 1, 5, 11, 11, 37, 11, 253, 495, 83, 941, 3665, 5187, 13679, 11811, 29563, 80571}},
+{10320, 17, 39084, {1, 3, 7, 15, 3, 45, 45, 157, 477, 321, 1401, 1133, 271, 12455, 31543, 18223, 116701}},
+{10321, 17, 39095, {1, 1, 5, 3, 7, 5, 17, 127, 195, 583, 715, 3975, 6865, 7617, 6749, 15687, 42375}},
+{10322, 17, 39099, {1, 1, 1, 7, 5, 7, 21, 163, 303, 45, 1435, 1345, 2489, 15333, 18459, 60837, 104339}},
+{10323, 17, 39101, {1, 3, 1, 1, 7, 23, 39, 93, 347, 947, 345, 1713, 6383, 15411, 10849, 32559, 126431}},
+{10324, 17, 39102, {1, 3, 1, 5, 19, 41, 119, 213, 3, 991, 1745, 3989, 155, 7761, 28179, 59805, 106759}},
+{10325, 17, 39104, {1, 1, 7, 5, 25, 11, 105, 89, 505, 711, 1213, 2831, 8087, 8855, 31171, 49749, 921}},
+{10326, 17, 39109, {1, 1, 5, 5, 23, 61, 49, 101, 209, 805, 123, 17, 805, 9033, 25753, 33261, 33753}},
+{10327, 17, 39114, {1, 1, 3, 5, 5, 17, 93, 223, 179, 307, 869, 1851, 4313, 477, 12925, 21365, 103999}},
+{10328, 17, 39121, {1, 1, 7, 13, 21, 23, 105, 53, 393, 939, 291, 2407, 4815, 4961, 30305, 8613, 62599}},
+{10329, 17, 39122, {1, 1, 1, 11, 9, 55, 55, 135, 411, 225, 205, 3357, 4553, 10139, 17649, 51209, 94037}},
+{10330, 17, 39127, {1, 3, 5, 15, 17, 17, 119, 15, 121, 581, 169, 2495, 3673, 7173, 13099, 7683, 53397}},
+{10331, 17, 39150, {1, 3, 1, 11, 29, 29, 119, 255, 447, 85, 845, 1015, 2793, 2471, 12639, 32155, 99193}},
+{10332, 17, 39172, {1, 3, 3, 3, 9, 33, 77, 251, 425, 1007, 1003, 2697, 4989, 7799, 26581, 15963, 50443}},
+{10333, 17, 39181, {1, 3, 1, 5, 13, 47, 13, 203, 473, 529, 147, 2061, 343, 4029, 14615, 51355, 27863}},
+{10334, 17, 39184, {1, 1, 3, 15, 19, 63, 39, 25, 241, 487, 461, 3021, 3545, 4537, 8991, 17689, 77131}},
+{10335, 17, 39193, {1, 3, 5, 5, 7, 1, 61, 89, 495, 943, 1061, 405, 449, 12785, 25151, 24497, 65709}},
+{10336, 17, 39199, {1, 1, 5, 3, 7, 43, 51, 55, 193, 615, 37, 1377, 2541, 3861, 29447, 32269, 106335}},
+{10337, 17, 39200, {1, 1, 5, 11, 21, 55, 103, 43, 421, 673, 175, 979, 5175, 1301, 8617, 55875, 111095}},
+{10338, 17, 39206, {1, 3, 5, 13, 29, 31, 33, 241, 129, 473, 201, 2015, 447, 99, 23781, 33517, 107851}},
+{10339, 17, 39209, {1, 3, 5, 3, 13, 27, 125, 205, 287, 957, 1609, 2907, 5481, 14239, 19719, 22459, 75365}},
+{10340, 17, 39235, {1, 3, 3, 5, 27, 23, 53, 39, 329, 381, 745, 517, 7853, 5333, 2773, 29119, 7049}},
+{10341, 17, 39238, {1, 3, 5, 15, 29, 11, 89, 3, 503, 755, 485, 2669, 6737, 16241, 7345, 50991, 107291}},
+{10342, 17, 39242, {1, 1, 7, 3, 17, 45, 11, 3, 157, 715, 577, 1309, 3323, 9401, 10573, 55135, 100067}},
+{10343, 17, 39244, {1, 1, 5, 9, 19, 21, 49, 103, 349, 503, 1447, 675, 4273, 7673, 27507, 57697, 80875}},
+{10344, 17, 39280, {1, 1, 5, 1, 9, 53, 19, 99, 225, 915, 431, 781, 3291, 4383, 26505, 50339, 99799}},
+{10345, 17, 39290, {1, 3, 1, 5, 7, 37, 87, 201, 481, 991, 1553, 1867, 7893, 13147, 18647, 10373, 51951}},
+{10346, 17, 39292, {1, 1, 3, 13, 17, 37, 19, 199, 253, 901, 759, 3545, 3565, 10461, 11867, 57605, 75555}},
+{10347, 17, 39296, {1, 1, 1, 5, 15, 23, 115, 69, 363, 673, 201, 2451, 3197, 10059, 1667, 47145, 89}},
+{10348, 17, 39305, {1, 1, 7, 13, 19, 31, 63, 35, 93, 939, 1057, 3221, 951, 3575, 9659, 7005, 2087}},
+{10349, 17, 39308, {1, 1, 7, 15, 15, 21, 79, 7, 23, 595, 1123, 1909, 6863, 7383, 28067, 30113, 107497}},
+{10350, 17, 39311, {1, 3, 5, 7, 11, 47, 41, 177, 163, 855, 1853, 3837, 6995, 9727, 27285, 62667, 77531}},
+{10351, 17, 39326, {1, 3, 7, 3, 3, 29, 99, 163, 95, 893, 1049, 2001, 2961, 601, 4613, 59745, 61203}},
+{10352, 17, 39329, {1, 3, 5, 1, 27, 5, 5, 47, 119, 631, 1171, 3467, 2115, 8581, 24863, 64193, 52093}},
+{10353, 17, 39330, {1, 1, 1, 5, 9, 51, 49, 251, 97, 177, 311, 993, 1103, 7875, 25273, 51587, 9081}},
+{10354, 17, 39336, {1, 3, 7, 5, 31, 21, 43, 137, 143, 779, 691, 2331, 5073, 5409, 13335, 999, 127765}},
+{10355, 17, 39339, {1, 1, 7, 1, 31, 33, 27, 193, 175, 755, 1559, 659, 5663, 10491, 29209, 50979, 116683}},
+{10356, 17, 39353, {1, 3, 1, 7, 23, 49, 1, 39, 117, 45, 1767, 3503, 4901, 5699, 23613, 44195, 17867}},
+{10357, 17, 39359, {1, 3, 7, 13, 3, 5, 105, 89, 343, 627, 1117, 3419, 2081, 5747, 7919, 44329, 125133}},
+{10358, 17, 39374, {1, 3, 1, 9, 13, 33, 53, 203, 17, 927, 127, 2195, 415, 11301, 15115, 54467, 128777}},
+{10359, 17, 39391, {1, 3, 7, 1, 9, 41, 15, 89, 403, 333, 57, 1159, 1325, 2335, 10609, 20485, 110317}},
+{10360, 17, 39392, {1, 3, 3, 5, 3, 61, 25, 155, 477, 907, 359, 359, 5119, 8157, 29945, 38955, 106485}},
+{10361, 17, 39402, {1, 1, 7, 5, 19, 47, 91, 89, 367, 703, 761, 431, 6813, 2983, 29739, 52453, 125935}},
+{10362, 17, 39409, {1, 1, 1, 7, 7, 61, 127, 239, 277, 649, 1111, 2319, 1737, 5071, 13469, 52119, 48899}},
+{10363, 17, 39410, {1, 3, 5, 15, 7, 17, 21, 209, 265, 895, 719, 263, 6871, 5835, 28483, 49859, 67619}},
+{10364, 17, 39415, {1, 3, 3, 15, 3, 7, 113, 109, 333, 545, 597, 1193, 7593, 3961, 25169, 64673, 47839}},
+{10365, 17, 39419, {1, 1, 1, 3, 15, 45, 55, 41, 317, 719, 1587, 2953, 2441, 1127, 9183, 21637, 69075}},
+{10366, 17, 39431, {1, 3, 1, 9, 25, 57, 59, 29, 89, 833, 379, 1085, 763, 14747, 30797, 24089, 83367}},
+{10367, 17, 39432, {1, 1, 5, 13, 29, 3, 117, 239, 453, 595, 243, 3103, 6047, 631, 22739, 41669, 11683}},
+{10368, 17, 39438, {1, 1, 3, 1, 9, 53, 81, 21, 67, 735, 827, 3519, 7991, 16249, 4183, 61295, 4531}},
+{10369, 17, 39443, {1, 3, 5, 3, 1, 57, 47, 99, 91, 71, 1421, 2949, 5951, 15439, 25239, 26453, 50199}},
+{10370, 17, 39445, {1, 1, 3, 15, 21, 3, 93, 21, 41, 809, 855, 727, 7797, 6957, 15835, 27175, 60617}},
+{10371, 17, 39449, {1, 1, 1, 13, 1, 3, 83, 135, 197, 171, 1459, 2841, 5021, 6961, 30675, 38295, 39555}},
+{10372, 17, 39461, {1, 1, 7, 5, 7, 49, 83, 83, 117, 73, 639, 2717, 651, 3253, 31635, 14427, 116509}},
+{10373, 17, 39462, {1, 3, 1, 3, 23, 63, 15, 23, 433, 539, 903, 2655, 1787, 12901, 12013, 41315, 128217}},
+{10374, 17, 39485, {1, 3, 1, 7, 5, 19, 3, 137, 493, 681, 775, 3725, 4855, 10817, 25277, 3631, 60779}},
+{10375, 17, 39508, {1, 3, 3, 5, 1, 7, 67, 39, 309, 77, 1679, 2853, 3803, 2065, 7461, 1555, 88219}},
+{10376, 17, 39515, {1, 1, 3, 5, 3, 47, 17, 193, 429, 789, 1525, 969, 7905, 6523, 10149, 64689, 40037}},
+{10377, 17, 39522, {1, 3, 5, 7, 21, 17, 65, 61, 255, 517, 1765, 2603, 4929, 11073, 7871, 29313, 84739}},
+{10378, 17, 39533, {1, 1, 5, 7, 13, 55, 111, 63, 499, 9, 1715, 957, 6951, 15839, 13531, 45483, 17923}},
+{10379, 17, 39541, {1, 1, 1, 1, 27, 7, 13, 135, 27, 259, 1735, 3847, 7931, 14777, 15249, 62367, 45773}},
+{10380, 17, 39542, {1, 1, 5, 3, 5, 7, 99, 171, 491, 1007, 195, 2223, 2657, 13557, 6549, 47125, 25117}},
+{10381, 17, 39557, {1, 1, 1, 9, 13, 21, 59, 205, 205, 951, 1707, 3387, 2901, 5463, 13403, 1917, 90591}},
+{10382, 17, 39570, {1, 3, 3, 5, 21, 37, 71, 91, 297, 885, 1415, 355, 2877, 9261, 6485, 45855, 90081}},
+{10383, 17, 39575, {1, 1, 5, 9, 23, 51, 107, 75, 93, 1015, 439, 3589, 3307, 337, 17247, 42285, 85417}},
+{10384, 17, 39576, {1, 1, 7, 15, 29, 33, 51, 23, 269, 35, 1241, 1137, 729, 14531, 14603, 47547, 17151}},
+{10385, 17, 39591, {1, 3, 3, 1, 25, 21, 51, 229, 55, 561, 653, 3289, 7629, 15445, 21115, 35941, 113669}},
+{10386, 17, 39597, {1, 1, 5, 15, 1, 33, 119, 171, 75, 621, 2025, 3235, 1895, 8279, 13205, 61085, 105401}},
+{10387, 17, 39603, {1, 3, 1, 7, 25, 33, 73, 25, 1, 531, 603, 77, 4939, 5957, 28065, 59467, 66659}},
+{10388, 17, 39610, {1, 1, 7, 3, 17, 61, 103, 47, 289, 39, 917, 2515, 6607, 1129, 23361, 46321, 81929}},
+{10389, 17, 39612, {1, 1, 7, 5, 29, 53, 5, 191, 151, 19, 895, 1215, 5401, 9861, 24751, 15481, 34179}},
+{10390, 17, 39617, {1, 3, 7, 9, 5, 3, 29, 205, 173, 547, 727, 947, 5619, 4181, 30621, 5553, 37587}},
+{10391, 17, 39620, {1, 1, 3, 9, 13, 59, 95, 145, 287, 849, 1483, 3375, 3531, 6585, 29565, 4243, 88333}},
+{10392, 17, 39624, {1, 1, 7, 11, 21, 23, 59, 223, 71, 743, 443, 697, 7789, 10371, 28565, 45127, 37967}},
+{10393, 17, 39627, {1, 3, 5, 11, 15, 25, 79, 71, 21, 817, 751, 189, 1769, 3835, 21465, 17991, 102043}},
+{10394, 17, 39635, {1, 1, 7, 11, 3, 19, 25, 5, 261, 181, 49, 261, 7715, 2195, 19771, 43463, 36533}},
+{10395, 17, 39641, {1, 1, 7, 13, 21, 21, 15, 235, 191, 197, 1305, 1351, 4511, 625, 6613, 37053, 59491}},
+{10396, 17, 39666, {1, 1, 1, 13, 15, 13, 93, 239, 251, 1009, 527, 1347, 4173, 14753, 27389, 20397, 13101}},
+{10397, 17, 39668, {1, 1, 3, 1, 15, 11, 127, 141, 277, 775, 1419, 2353, 6929, 2265, 7253, 19807, 74853}},
+{10398, 17, 39686, {1, 3, 3, 15, 15, 49, 9, 183, 407, 377, 675, 871, 347, 3417, 4409, 7805, 40507}},
+{10399, 17, 39692, {1, 3, 5, 3, 23, 11, 81, 53, 343, 681, 1777, 3411, 757, 10875, 3581, 56105, 79907}},
+{10400, 17, 39700, {1, 3, 5, 1, 25, 9, 109, 55, 283, 311, 1607, 2479, 5675, 8819, 10853, 38719, 44471}},
+{10401, 17, 39709, {1, 1, 7, 7, 9, 53, 33, 195, 503, 167, 993, 3203, 3885, 1921, 1039, 25785, 47411}},
+{10402, 17, 39726, {1, 3, 3, 3, 31, 3, 11, 85, 475, 743, 1825, 2649, 2373, 12177, 21481, 35579, 85803}},
+{10403, 17, 39728, {1, 3, 7, 3, 23, 45, 45, 207, 369, 773, 1579, 783, 2491, 7441, 21203, 57091, 107413}},
+{10404, 17, 39737, {1, 1, 1, 5, 19, 7, 97, 213, 431, 533, 637, 1767, 4945, 4693, 977, 64781, 111811}},
+{10405, 17, 39738, {1, 3, 7, 7, 1, 55, 101, 251, 153, 95, 1043, 3219, 3499, 6297, 11571, 9131, 61899}},
+{10406, 17, 39755, {1, 3, 5, 5, 25, 53, 121, 255, 69, 661, 799, 3559, 2029, 11701, 14151, 37897, 18333}},
+{10407, 17, 39757, {1, 1, 1, 9, 21, 19, 97, 21, 321, 957, 1115, 251, 5131, 8465, 24215, 34423, 12747}},
+{10408, 17, 39758, {1, 3, 5, 7, 17, 19, 99, 135, 429, 625, 1401, 1025, 4193, 2911, 7349, 34135, 9341}},
+{10409, 17, 39765, {1, 3, 5, 1, 5, 63, 97, 121, 307, 547, 1967, 641, 487, 4627, 30899, 62049, 94343}},
+{10410, 17, 39766, {1, 3, 5, 13, 1, 1, 109, 23, 267, 843, 271, 2277, 855, 4245, 2177, 33633, 113835}},
+{10411, 17, 39769, {1, 1, 3, 7, 3, 27, 91, 79, 27, 855, 2025, 443, 4797, 9005, 27533, 20497, 100431}},
+{10412, 17, 39779, {1, 3, 3, 5, 23, 7, 73, 35, 395, 649, 881, 2923, 4065, 853, 10829, 19461, 82383}},
+{10413, 17, 39785, {1, 3, 1, 5, 25, 13, 85, 93, 369, 259, 393, 3233, 799, 12409, 26631, 64291, 110133}},
+{10414, 17, 39794, {1, 3, 5, 5, 31, 35, 25, 239, 455, 893, 573, 1449, 3359, 12077, 17149, 12921, 66931}},
+{10415, 17, 39796, {1, 1, 7, 3, 25, 39, 67, 87, 215, 325, 627, 3609, 4417, 10021, 12047, 64593, 116525}},
+{10416, 17, 39809, {1, 1, 5, 5, 23, 51, 125, 247, 83, 419, 655, 635, 7053, 4907, 12887, 18083, 49481}},
+{10417, 17, 39815, {1, 1, 7, 11, 5, 25, 65, 139, 235, 331, 1885, 1851, 1061, 13265, 14371, 23067, 56757}},
+{10418, 17, 39829, {1, 1, 7, 9, 11, 15, 29, 255, 509, 869, 561, 2201, 487, 2989, 14943, 65373, 35789}},
+{10419, 17, 39834, {1, 1, 1, 3, 3, 33, 23, 121, 129, 351, 1481, 65, 321, 15927, 23849, 2813, 98547}},
+{10420, 17, 39839, {1, 1, 1, 3, 23, 55, 121, 35, 339, 87, 1147, 401, 1477, 10617, 15943, 20535, 89321}},
+{10421, 17, 39850, {1, 3, 5, 15, 25, 59, 111, 185, 305, 47, 523, 2801, 5485, 625, 30191, 58153, 9019}},
+{10422, 17, 39857, {1, 1, 7, 13, 15, 51, 105, 55, 77, 419, 1011, 1117, 2705, 15093, 15629, 51429, 58487}},
+{10423, 17, 39881, {1, 3, 7, 5, 15, 27, 19, 7, 401, 295, 1841, 1167, 2133, 1967, 6941, 13571, 29467}},
+{10424, 17, 39905, {1, 1, 5, 15, 25, 43, 23, 253, 173, 927, 1299, 2779, 5489, 16135, 1503, 51097, 105751}},
+{10425, 17, 39912, {1, 3, 3, 5, 9, 13, 5, 13, 411, 639, 1323, 1495, 2539, 15087, 21489, 49653, 76229}},
+{10426, 17, 39938, {1, 1, 1, 11, 7, 51, 47, 99, 247, 541, 1355, 2373, 4121, 13621, 7715, 16763, 127985}},
+{10427, 17, 39940, {1, 1, 3, 9, 7, 1, 85, 45, 269, 769, 581, 2229, 7143, 5203, 22483, 18511, 30997}},
+{10428, 17, 39944, {1, 3, 5, 7, 21, 41, 97, 225, 109, 195, 1197, 3417, 7613, 13225, 29157, 18969, 82045}},
+{10429, 17, 39955, {1, 3, 3, 3, 17, 41, 13, 77, 129, 679, 1659, 1299, 4809, 8537, 19081, 1281, 70793}},
+{10430, 17, 39961, {1, 1, 5, 5, 5, 49, 5, 15, 313, 941, 775, 259, 6579, 7745, 20531, 51669, 35257}},
+{10431, 17, 39977, {1, 1, 5, 5, 17, 35, 13, 235, 169, 699, 1365, 3907, 4231, 10965, 7737, 6735, 4253}},
+{10432, 17, 39980, {1, 1, 5, 3, 29, 3, 1, 197, 133, 935, 571, 3977, 2467, 2029, 12803, 64559, 6427}},
+{10433, 17, 39986, {1, 3, 5, 5, 27, 5, 69, 57, 439, 925, 1695, 827, 4685, 10971, 3011, 56821, 92187}},
+{10434, 17, 39988, {1, 1, 1, 3, 9, 45, 77, 179, 173, 1023, 907, 1999, 3913, 6973, 26987, 30237, 62987}},
+{10435, 17, 39991, {1, 3, 7, 3, 5, 21, 17, 97, 433, 277, 1515, 2923, 8025, 14119, 11243, 3983, 33943}},
+{10436, 17, 39998, {1, 1, 5, 7, 15, 13, 119, 169, 21, 927, 439, 361, 2655, 2237, 19775, 4157, 84245}},
+{10437, 17, 40003, {1, 3, 5, 5, 31, 41, 117, 159, 421, 505, 1617, 3855, 7835, 8105, 29525, 56735, 82335}},
+{10438, 17, 40005, {1, 1, 5, 5, 1, 33, 51, 3, 79, 933, 389, 493, 5969, 12493, 26723, 61159, 116951}},
+{10439, 17, 40023, {1, 3, 7, 13, 17, 23, 75, 13, 355, 111, 675, 3191, 3931, 5651, 17495, 4595, 49869}},
+{10440, 17, 40024, {1, 1, 7, 7, 15, 21, 35, 125, 89, 903, 697, 3493, 4043, 6631, 4793, 45655, 86969}},
+{10441, 17, 40045, {1, 3, 1, 15, 13, 43, 113, 213, 451, 473, 191, 2913, 6391, 1321, 29615, 24791, 26979}},
+{10442, 17, 40046, {1, 3, 3, 13, 17, 25, 9, 163, 163, 161, 1647, 3949, 1343, 12881, 10931, 31365, 70013}},
+{10443, 17, 40058, {1, 3, 7, 3, 3, 19, 1, 121, 387, 543, 1655, 1797, 6727, 2951, 21925, 21595, 73207}},
+{10444, 17, 40088, {1, 1, 5, 9, 7, 19, 91, 9, 83, 893, 1393, 163, 2219, 7763, 32395, 29569, 98645}},
+{10445, 17, 40091, {1, 1, 5, 7, 13, 63, 91, 115, 247, 387, 87, 3239, 7561, 297, 32615, 48817, 41761}},
+{10446, 17, 40098, {1, 3, 5, 3, 21, 23, 27, 141, 257, 377, 1745, 443, 897, 9033, 1715, 9225, 110181}},
+{10447, 17, 40109, {1, 1, 7, 9, 23, 49, 125, 131, 225, 253, 139, 2057, 3273, 4049, 6861, 4463, 11659}},
+{10448, 17, 40112, {1, 1, 5, 11, 5, 41, 97, 213, 133, 481, 2009, 2039, 1533, 10765, 22427, 23297, 80661}},
+{10449, 17, 40124, {1, 1, 5, 15, 9, 11, 77, 129, 421, 219, 1623, 703, 1611, 13377, 9859, 42869, 101943}},
+{10450, 17, 40130, {1, 3, 3, 3, 17, 63, 55, 29, 317, 973, 1159, 11, 1733, 14551, 25911, 39151, 45861}},
+{10451, 17, 40153, {1, 3, 7, 11, 29, 63, 107, 193, 263, 799, 1171, 543, 553, 12591, 21965, 8165, 64347}},
+{10452, 17, 40166, {1, 1, 7, 15, 23, 49, 65, 65, 401, 897, 681, 1113, 6737, 9157, 1557, 55891, 129175}},
+{10453, 17, 40175, {1, 3, 3, 1, 15, 23, 107, 123, 313, 633, 1009, 2615, 1155, 11701, 21945, 7939, 28111}},
+{10454, 17, 40183, {1, 3, 1, 11, 15, 11, 47, 137, 299, 393, 877, 1989, 5903, 6505, 9599, 4129, 23073}},
+{10455, 17, 40184, {1, 1, 7, 15, 9, 49, 67, 15, 79, 125, 505, 17, 8071, 12957, 13855, 23611, 66465}},
+{10456, 17, 40207, {1, 1, 5, 13, 31, 49, 1, 161, 121, 145, 711, 1347, 5297, 11309, 9871, 43075, 95541}},
+{10457, 17, 40215, {1, 3, 3, 13, 19, 7, 55, 199, 469, 471, 1269, 3779, 6251, 3513, 1775, 19501, 94055}},
+{10458, 17, 40225, {1, 3, 3, 13, 9, 41, 109, 211, 197, 227, 1211, 3327, 1247, 12253, 4493, 31507, 38677}},
+{10459, 17, 40235, {1, 1, 7, 3, 11, 45, 11, 103, 325, 849, 1817, 3971, 1059, 9047, 27237, 32211, 121165}},
+{10460, 17, 40240, {1, 3, 3, 3, 13, 43, 7, 35, 293, 3, 679, 1441, 5189, 7585, 32009, 6151, 89803}},
+{10461, 17, 40255, {1, 1, 7, 9, 29, 41, 127, 255, 363, 913, 2027, 3891, 5187, 10233, 8871, 48085, 125609}},
+{10462, 17, 40263, {1, 3, 1, 5, 21, 23, 59, 145, 171, 775, 535, 3803, 6981, 15901, 20255, 63199, 92905}},
+{10463, 17, 40270, {1, 3, 5, 9, 7, 63, 53, 7, 145, 547, 1753, 3351, 1273, 8175, 24103, 42133, 87459}},
+{10464, 17, 40277, {1, 3, 7, 7, 25, 33, 5, 217, 469, 473, 1573, 2525, 7345, 5261, 7023, 50893, 124129}},
+{10465, 17, 40282, {1, 3, 5, 13, 5, 51, 23, 61, 429, 775, 519, 2671, 1979, 9005, 21617, 33611, 120487}},
+{10466, 17, 40297, {1, 3, 3, 15, 23, 1, 73, 187, 47, 369, 943, 99, 2529, 5569, 13649, 51481, 128949}},
+{10467, 17, 40306, {1, 3, 1, 5, 25, 55, 35, 191, 327, 845, 1353, 261, 6297, 6067, 22241, 32381, 17749}},
+{10468, 17, 40315, {1, 1, 5, 15, 31, 5, 29, 129, 15, 47, 739, 755, 7595, 14743, 14705, 34347, 11805}},
+{10469, 17, 40333, {1, 3, 1, 3, 15, 49, 119, 47, 185, 63, 2003, 2847, 5393, 855, 7699, 29521, 67011}},
+{10470, 17, 40334, {1, 3, 7, 15, 11, 41, 37, 149, 173, 1015, 29, 1805, 1269, 16199, 32337, 11023, 60065}},
+{10471, 17, 40336, {1, 1, 1, 7, 31, 19, 65, 81, 255, 875, 1379, 2347, 1873, 14427, 29523, 38413, 65583}},
+{10472, 17, 40342, {1, 1, 1, 15, 13, 59, 3, 219, 127, 479, 1029, 3385, 563, 11825, 10081, 17423, 26431}},
+{10473, 17, 40345, {1, 1, 1, 1, 25, 27, 79, 87, 489, 281, 457, 3527, 5117, 4705, 21167, 46211, 90383}},
+{10474, 17, 40348, {1, 3, 7, 13, 7, 5, 67, 111, 53, 439, 1483, 3639, 7781, 9471, 10957, 60711, 64957}},
+{10475, 17, 40355, {1, 3, 7, 9, 7, 7, 41, 137, 159, 245, 551, 4007, 1277, 4743, 4863, 48689, 123289}},
+{10476, 17, 40372, {1, 3, 7, 9, 15, 49, 55, 77, 41, 475, 1563, 3569, 5993, 301, 14831, 44095, 22641}},
+{10477, 17, 40381, {1, 1, 1, 1, 15, 33, 39, 135, 81, 533, 869, 305, 1125, 6399, 14321, 37217, 121081}},
+{10478, 17, 40390, {1, 1, 7, 15, 21, 59, 43, 7, 225, 1, 115, 1531, 2931, 2593, 15935, 61973, 106899}},
+{10479, 17, 40407, {1, 1, 1, 1, 13, 13, 99, 191, 437, 367, 641, 1933, 5807, 11677, 13557, 46475, 34875}},
+{10480, 17, 40435, {1, 3, 7, 9, 21, 7, 119, 209, 31, 919, 901, 1229, 5823, 11439, 18151, 18991, 114743}},
+{10481, 17, 40437, {1, 3, 3, 3, 19, 37, 109, 53, 411, 617, 1841, 2769, 1271, 5719, 22359, 1199, 72405}},
+{10482, 17, 40441, {1, 1, 1, 5, 29, 3, 51, 59, 141, 897, 1907, 3799, 1463, 5661, 181, 50565, 95085}},
+{10483, 17, 40444, {1, 1, 1, 7, 1, 35, 77, 225, 341, 587, 137, 35, 2177, 15177, 12869, 35013, 39471}},
+{10484, 17, 40458, {1, 1, 3, 13, 15, 63, 45, 33, 337, 1, 1133, 263, 4985, 11591, 1085, 31197, 67897}},
+{10485, 17, 40460, {1, 1, 5, 13, 23, 11, 123, 21, 185, 639, 145, 3865, 2999, 6261, 23247, 23055, 32755}},
+{10486, 17, 40481, {1, 1, 5, 9, 19, 21, 47, 133, 281, 431, 1661, 3719, 3637, 973, 9727, 52627, 60035}},
+{10487, 17, 40484, {1, 1, 3, 5, 3, 19, 19, 89, 63, 549, 551, 3357, 5665, 4781, 22437, 1149, 10825}},
+{10488, 17, 40487, {1, 3, 5, 15, 3, 25, 81, 193, 11, 711, 1481, 1767, 1159, 4967, 16915, 3387, 26245}},
+{10489, 17, 40493, {1, 1, 1, 3, 29, 39, 23, 131, 473, 107, 765, 2249, 6087, 9145, 20751, 21085, 42989}},
+{10490, 17, 40494, {1, 3, 1, 9, 7, 39, 13, 199, 475, 333, 269, 1041, 5927, 14039, 19081, 9045, 119645}},
+{10491, 17, 40501, {1, 1, 5, 13, 11, 61, 99, 71, 151, 175, 1327, 3397, 5063, 10683, 7895, 62255, 85749}},
+{10492, 17, 40502, {1, 3, 7, 9, 1, 57, 21, 217, 423, 467, 1435, 2887, 1567, 8819, 19961, 36507, 110309}},
+{10493, 17, 40525, {1, 3, 3, 11, 11, 35, 77, 127, 153, 357, 865, 1943, 1947, 10995, 13617, 44347, 26851}},
+{10494, 17, 40550, {1, 3, 1, 11, 9, 43, 31, 81, 123, 813, 995, 169, 6593, 13621, 32195, 51125, 53509}},
+{10495, 17, 40553, {1, 1, 5, 5, 27, 29, 77, 35, 93, 545, 377, 2345, 6475, 15729, 15103, 49591, 101121}},
+{10496, 17, 40559, {1, 1, 5, 13, 1, 17, 97, 187, 129, 173, 641, 2937, 3277, 15087, 28111, 46905, 112367}},
+{10497, 17, 40562, {1, 3, 7, 7, 1, 27, 75, 43, 305, 431, 571, 1327, 7419, 3093, 2691, 23417, 11975}},
+{10498, 17, 40573, {1, 1, 5, 15, 17, 3, 91, 57, 417, 87, 1891, 1973, 5765, 5521, 21931, 60011, 20883}},
+{10499, 17, 40574, {1, 3, 1, 3, 27, 13, 105, 153, 495, 371, 453, 1295, 5675, 6377, 8971, 40505, 41149}},
+{10500, 17, 40578, {1, 1, 1, 15, 1, 17, 105, 177, 41, 455, 611, 3585, 2307, 2603, 20985, 5581, 14033}},
+{10501, 17, 40583, {1, 3, 3, 9, 7, 41, 33, 145, 307, 293, 1321, 2151, 3265, 14845, 15687, 38715, 8041}},
+{10502, 17, 40584, {1, 3, 3, 3, 5, 47, 127, 253, 129, 337, 1467, 5, 2743, 1921, 26979, 11737, 41479}},
+{10503, 17, 40587, {1, 1, 1, 5, 15, 35, 37, 9, 5, 405, 1041, 1903, 3655, 14315, 9441, 20577, 50715}},
+{10504, 17, 40597, {1, 1, 5, 15, 7, 5, 53, 61, 409, 353, 87, 1805, 4523, 11417, 24105, 21451, 56387}},
+{10505, 17, 40620, {1, 3, 3, 5, 5, 9, 25, 249, 511, 795, 559, 2695, 3071, 3971, 29421, 46593, 96563}},
+{10506, 17, 40623, {1, 1, 3, 1, 3, 39, 61, 85, 399, 105, 1253, 3787, 3065, 10553, 8195, 5637, 129579}},
+{10507, 17, 40631, {1, 3, 3, 7, 23, 23, 23, 197, 263, 687, 943, 1977, 5767, 15373, 17995, 24509, 81293}},
+{10508, 17, 40643, {1, 3, 1, 11, 15, 37, 15, 67, 207, 985, 895, 509, 3435, 11563, 2055, 19253, 42649}},
+{10509, 17, 40660, {1, 1, 7, 3, 1, 51, 59, 133, 241, 569, 1575, 3633, 2243, 11939, 5501, 11249, 86013}},
+{10510, 17, 40667, {1, 1, 7, 13, 25, 59, 97, 191, 385, 179, 1195, 1537, 1837, 11953, 14231, 37025, 49803}},
+{10511, 17, 40676, {1, 3, 5, 5, 13, 49, 19, 171, 503, 433, 1633, 553, 2759, 4379, 18313, 62437, 37453}},
+{10512, 17, 40693, {1, 3, 3, 15, 29, 49, 107, 239, 21, 913, 1095, 989, 4749, 10657, 27169, 15913, 1573}},
+{10513, 17, 40697, {1, 1, 1, 1, 3, 3, 53, 241, 287, 149, 557, 2665, 2027, 449, 29231, 23025, 102521}},
+{10514, 17, 40708, {1, 3, 5, 7, 23, 21, 9, 1, 11, 837, 1337, 2815, 7883, 16053, 10031, 43405, 5037}},
+{10515, 17, 40718, {1, 3, 7, 1, 23, 53, 113, 125, 337, 491, 1125, 3083, 4941, 951, 15805, 1571, 79779}},
+{10516, 17, 40726, {1, 3, 7, 13, 1, 3, 95, 105, 431, 723, 1771, 3773, 177, 2045, 24719, 57727, 79005}},
+{10517, 17, 40735, {1, 3, 1, 1, 7, 17, 107, 171, 213, 437, 409, 2015, 7543, 12693, 23597, 44477, 72543}},
+{10518, 17, 40739, {1, 3, 5, 9, 7, 21, 27, 167, 473, 901, 1245, 3737, 3485, 14593, 7619, 18753, 14209}},
+{10519, 17, 40748, {1, 1, 1, 3, 25, 37, 51, 21, 363, 73, 711, 3749, 5147, 8495, 30151, 14275, 128217}},
+{10520, 17, 40760, {1, 3, 1, 13, 17, 35, 69, 15, 293, 331, 301, 691, 7315, 6495, 315, 62909, 105047}},
+{10521, 17, 40763, {1, 3, 5, 3, 25, 23, 105, 111, 213, 887, 1701, 2085, 5931, 9217, 4009, 2321, 103631}},
+{10522, 17, 40773, {1, 1, 7, 15, 17, 57, 59, 249, 267, 941, 777, 2509, 6587, 12033, 24969, 31563, 129049}},
+{10523, 17, 40774, {1, 1, 1, 5, 31, 23, 31, 217, 509, 973, 659, 673, 7759, 3865, 21221, 4319, 117411}},
+{10524, 17, 40786, {1, 1, 3, 7, 13, 13, 103, 179, 107, 233, 753, 3121, 835, 13595, 9271, 31421, 45275}},
+{10525, 17, 40791, {1, 3, 5, 13, 23, 61, 125, 189, 283, 83, 1087, 755, 3697, 14845, 27901, 16389, 82993}},
+{10526, 17, 40798, {1, 3, 1, 3, 1, 55, 25, 139, 435, 681, 1913, 975, 3109, 6699, 12943, 50865, 71811}},
+{10527, 17, 40801, {1, 3, 1, 5, 15, 61, 17, 219, 29, 805, 1881, 3761, 3535, 473, 15629, 26301, 51085}},
+{10528, 17, 40808, {1, 3, 1, 1, 7, 43, 87, 93, 355, 247, 641, 2851, 4565, 9293, 6025, 1945, 112549}},
+{10529, 17, 40811, {1, 3, 7, 5, 19, 55, 69, 227, 107, 443, 1587, 2457, 2873, 953, 27529, 57527, 54145}},
+{10530, 17, 40813, {1, 1, 5, 9, 1, 33, 31, 241, 339, 791, 399, 3435, 1711, 10815, 32657, 59875, 31291}},
+{10531, 17, 40825, {1, 1, 1, 7, 25, 59, 87, 115, 435, 47, 1907, 193, 6069, 10933, 9877, 46443, 3451}},
+{10532, 17, 40831, {1, 3, 3, 15, 25, 33, 19, 121, 133, 253, 1227, 75, 2839, 3341, 30727, 52451, 44883}},
+{10533, 17, 40835, {1, 1, 7, 11, 5, 47, 97, 255, 235, 565, 1701, 529, 839, 15473, 24471, 5749, 73135}},
+{10534, 17, 40856, {1, 1, 3, 7, 21, 15, 31, 81, 389, 957, 603, 3879, 2875, 11987, 24625, 53667, 77775}},
+{10535, 17, 40861, {1, 1, 5, 11, 29, 29, 31, 233, 107, 541, 561, 2533, 1421, 13587, 6943, 45635, 71315}},
+{10536, 17, 40880, {1, 3, 1, 9, 25, 19, 33, 53, 509, 485, 1637, 2877, 5927, 16059, 195, 17279, 127025}},
+{10537, 17, 40889, {1, 1, 1, 3, 9, 23, 97, 101, 337, 43, 1979, 1139, 3693, 2601, 8225, 53037, 63709}},
+{10538, 17, 40912, {1, 1, 7, 7, 17, 25, 121, 253, 63, 105, 527, 1397, 121, 9665, 29151, 10795, 79077}},
+{10539, 17, 40918, {1, 3, 3, 1, 27, 33, 123, 69, 209, 25, 1677, 1569, 4441, 7817, 5165, 29517, 117165}},
+{10540, 17, 40924, {1, 1, 5, 15, 3, 59, 13, 25, 359, 71, 179, 3925, 6899, 6007, 9121, 36297, 88541}},
+{10541, 17, 40927, {1, 1, 3, 11, 23, 17, 55, 133, 27, 277, 1055, 1057, 807, 1221, 1665, 64129, 102395}},
+{10542, 17, 40928, {1, 3, 1, 15, 13, 15, 105, 141, 329, 73, 609, 1663, 3277, 1767, 6371, 34325, 109563}},
+{10543, 17, 40938, {1, 1, 5, 1, 17, 21, 37, 81, 187, 403, 291, 1495, 5071, 14289, 29075, 44089, 95001}},
+{10544, 17, 40952, {1, 3, 3, 3, 15, 33, 49, 155, 41, 853, 15, 3571, 1433, 8469, 18711, 59007, 98703}},
+{10545, 17, 40957, {1, 3, 1, 13, 17, 47, 61, 151, 127, 87, 207, 3157, 5141, 14745, 32567, 18401, 7497}},
+{10546, 17, 40961, {1, 3, 5, 1, 19, 25, 49, 147, 137, 603, 1223, 3195, 5965, 11335, 20343, 10109, 63975}},
+{10547, 17, 40968, {1, 1, 7, 13, 29, 59, 1, 33, 157, 765, 961, 641, 7303, 3279, 20287, 37553, 114573}},
+{10548, 17, 40974, {1, 3, 5, 1, 11, 63, 63, 41, 15, 717, 1037, 227, 7875, 8681, 26943, 11761, 28005}},
+{10549, 17, 40986, {1, 3, 1, 3, 19, 5, 67, 169, 209, 293, 343, 2033, 7669, 1077, 15513, 54475, 15459}},
+{10550, 17, 40992, {1, 1, 3, 3, 17, 47, 49, 187, 341, 767, 1463, 301, 2083, 9265, 12313, 14763, 126627}},
+{10551, 17, 41001, {1, 3, 5, 13, 11, 15, 45, 237, 445, 55, 319, 2989, 5043, 1053, 22809, 23111, 7617}},
+{10552, 17, 41004, {1, 1, 7, 9, 7, 15, 41, 185, 511, 701, 1279, 1995, 7829, 2947, 3431, 45799, 1709}},
+{10553, 17, 41022, {1, 3, 7, 15, 5, 15, 85, 29, 487, 811, 1653, 483, 1193, 11331, 21815, 57215, 8373}},
+{10554, 17, 41033, {1, 3, 1, 15, 27, 19, 111, 161, 19, 373, 419, 1547, 2415, 10705, 17283, 56663, 73625}},
+{10555, 17, 41036, {1, 1, 3, 11, 27, 7, 75, 57, 411, 35, 685, 1249, 5227, 7313, 3167, 30537, 40655}},
+{10556, 17, 41039, {1, 3, 1, 9, 7, 37, 9, 209, 353, 319, 843, 657, 2069, 6523, 611, 16291, 107121}},
+{10557, 17, 41044, {1, 1, 5, 11, 11, 51, 25, 171, 315, 63, 207, 2279, 2379, 3583, 31927, 62451, 109911}},
+{10558, 17, 41064, {1, 1, 7, 11, 15, 41, 19, 175, 103, 605, 1889, 3161, 1217, 3259, 29655, 11715, 35551}},
+{10559, 17, 41078, {1, 3, 5, 13, 23, 11, 121, 147, 179, 397, 659, 3753, 2355, 1093, 25863, 39751, 112381}},
+{10560, 17, 41091, {1, 3, 5, 7, 1, 23, 37, 117, 7, 361, 991, 661, 4427, 15333, 5307, 55171, 96959}},
+{10561, 17, 41103, {1, 3, 1, 5, 17, 9, 77, 147, 289, 79, 295, 1271, 7809, 6387, 31785, 26489, 9335}},
+{10562, 17, 41108, {1, 1, 1, 7, 17, 33, 63, 147, 17, 515, 1349, 1907, 7703, 5511, 27773, 54025, 30019}},
+{10563, 17, 41112, {1, 3, 5, 3, 27, 57, 75, 129, 219, 533, 207, 3569, 5799, 6943, 12271, 53115, 120389}},
+{10564, 17, 41127, {1, 1, 1, 13, 11, 25, 101, 251, 289, 215, 1875, 1821, 703, 15395, 27167, 43187, 63401}},
+{10565, 17, 41128, {1, 1, 7, 15, 7, 39, 125, 41, 57, 513, 17, 965, 3225, 12833, 21131, 53243, 60377}},
+{10566, 17, 41136, {1, 3, 5, 3, 21, 19, 43, 195, 259, 523, 587, 3393, 6621, 43, 10951, 51877, 79967}},
+{10567, 17, 41141, {1, 3, 3, 7, 7, 19, 11, 89, 321, 821, 99, 2201, 1297, 949, 11539, 6295, 19721}},
+{10568, 17, 41146, {1, 1, 5, 3, 29, 27, 123, 111, 441, 441, 337, 3849, 1677, 14403, 17203, 50661, 92177}},
+{10569, 17, 41156, {1, 3, 5, 9, 23, 23, 73, 153, 241, 841, 371, 1503, 5815, 14117, 4679, 17997, 112269}},
+{10570, 17, 41159, {1, 1, 1, 1, 7, 37, 105, 185, 453, 905, 15, 57, 6963, 9665, 3371, 2391, 96023}},
+{10571, 17, 41163, {1, 3, 7, 1, 1, 21, 35, 43, 449, 111, 191, 2163, 3249, 15049, 30215, 43569, 127973}},
+{10572, 17, 41165, {1, 3, 3, 3, 17, 13, 77, 123, 471, 929, 1797, 2061, 355, 4441, 1101, 24631, 128711}},
+{10573, 17, 41166, {1, 3, 7, 7, 17, 51, 1, 69, 23, 1003, 535, 3751, 765, 5253, 21027, 52901, 61951}},
+{10574, 17, 41184, {1, 1, 7, 9, 25, 13, 33, 13, 423, 787, 223, 729, 4443, 227, 11487, 14259, 52951}},
+{10575, 17, 41193, {1, 3, 5, 5, 25, 27, 113, 93, 13, 679, 1295, 3773, 7253, 14629, 8907, 45885, 85387}},
+{10576, 17, 41202, {1, 3, 3, 13, 15, 55, 99, 31, 119, 955, 1477, 3745, 6777, 973, 4723, 62133, 65093}},
+{10577, 17, 41211, {1, 3, 3, 9, 13, 51, 105, 37, 477, 579, 765, 2573, 6869, 3891, 30969, 63413, 56603}},
+{10578, 17, 41216, {1, 3, 1, 3, 15, 23, 67, 109, 75, 721, 523, 1433, 3455, 6377, 23795, 13711, 121349}},
+{10579, 17, 41239, {1, 1, 3, 11, 5, 5, 99, 117, 233, 621, 509, 3235, 7483, 12325, 13203, 20075, 27537}},
+{10580, 17, 41243, {1, 3, 3, 9, 23, 51, 93, 245, 307, 689, 1993, 3607, 1985, 11839, 25553, 54941, 68741}},
+{10581, 17, 41249, {1, 1, 3, 5, 19, 21, 33, 71, 447, 539, 351, 2549, 87, 4317, 1287, 62289, 121065}},
+{10582, 17, 41262, {1, 3, 5, 5, 9, 23, 37, 189, 449, 263, 37, 3127, 1709, 10793, 7379, 38565, 8267}},
+{10583, 17, 41267, {1, 1, 7, 7, 7, 33, 23, 79, 457, 947, 1275, 2755, 3747, 9225, 31385, 8785, 76945}},
+{10584, 17, 41276, {1, 3, 1, 9, 17, 33, 29, 59, 505, 649, 1679, 3609, 1361, 5987, 26455, 17295, 98697}},
+{10585, 17, 41279, {1, 1, 3, 11, 7, 47, 127, 79, 419, 143, 349, 985, 6397, 10271, 29427, 19661, 32629}},
+{10586, 17, 41305, {1, 1, 5, 13, 15, 5, 79, 171, 491, 223, 1601, 705, 623, 4405, 10065, 28057, 105737}},
+{10587, 17, 41306, {1, 1, 7, 3, 29, 7, 81, 69, 265, 669, 1763, 2109, 6275, 7683, 19561, 26737, 54449}},
+{10588, 17, 41312, {1, 1, 1, 7, 1, 1, 5, 9, 65, 487, 1663, 1021, 1819, 9971, 22065, 40407, 4187}},
+{10589, 17, 41317, {1, 3, 5, 5, 21, 33, 11, 213, 309, 575, 427, 1421, 6435, 981, 31533, 16751, 47813}},
+{10590, 17, 41321, {1, 3, 3, 13, 7, 59, 65, 65, 401, 195, 211, 421, 1139, 11729, 19717, 20699, 111863}},
+{10591, 17, 41332, {1, 3, 7, 5, 17, 51, 25, 217, 223, 935, 431, 1703, 4869, 5635, 199, 5485, 37311}},
+{10592, 17, 41335, {1, 1, 3, 11, 23, 25, 15, 37, 187, 1007, 857, 3327, 5471, 10089, 13745, 1741, 37769}},
+{10593, 17, 41345, {1, 3, 5, 15, 31, 17, 75, 125, 1, 449, 1293, 3427, 709, 8285, 31143, 50655, 130793}},
+{10594, 17, 41346, {1, 1, 7, 3, 25, 55, 105, 255, 319, 183, 1571, 2425, 5429, 7151, 8569, 37447, 23055}},
+{10595, 17, 41351, {1, 3, 1, 1, 23, 37, 17, 61, 161, 559, 1025, 2651, 5861, 5231, 1365, 4853, 127301}},
+{10596, 17, 41365, {1, 3, 1, 9, 17, 37, 87, 241, 411, 53, 1555, 3805, 6867, 125, 9829, 53581, 117413}},
+{10597, 17, 41388, {1, 3, 3, 3, 23, 55, 121, 109, 441, 623, 1345, 3055, 2591, 11329, 16891, 61347, 125643}},
+{10598, 17, 41399, {1, 3, 1, 1, 5, 29, 53, 97, 15, 275, 1587, 1245, 379, 16117, 24369, 26873, 39547}},
+{10599, 17, 41405, {1, 3, 1, 5, 3, 63, 85, 167, 301, 45, 1357, 1185, 3939, 945, 24961, 59427, 128129}},
+{10600, 17, 41414, {1, 3, 1, 7, 23, 25, 109, 253, 37, 151, 17, 1241, 787, 15895, 7947, 65071, 14765}},
+{10601, 17, 41432, {1, 3, 3, 1, 7, 3, 103, 35, 73, 533, 1055, 823, 7403, 8117, 28813, 42457, 56037}},
+{10602, 17, 41454, {1, 3, 5, 15, 1, 15, 97, 109, 293, 259, 935, 2977, 5257, 14563, 28871, 17647, 34185}},
+{10603, 17, 41461, {1, 1, 1, 3, 29, 21, 101, 163, 173, 1019, 1025, 553, 945, 3781, 1097, 58025, 124819}},
+{10604, 17, 41462, {1, 1, 3, 9, 7, 35, 65, 61, 31, 547, 75, 3515, 6719, 12809, 23287, 14609, 30341}},
+{10605, 17, 41471, {1, 3, 7, 9, 3, 53, 21, 207, 383, 917, 1383, 2873, 1663, 15665, 1787, 50741, 35145}},
+{10606, 17, 41478, {1, 3, 7, 5, 3, 35, 113, 191, 171, 635, 1597, 2943, 2421, 5555, 6457, 22087, 104221}},
+{10607, 17, 41490, {1, 1, 1, 1, 29, 25, 3, 225, 175, 807, 1325, 215, 6475, 10729, 18619, 45401, 20627}},
+{10608, 17, 41506, {1, 1, 5, 11, 23, 25, 39, 207, 81, 633, 403, 3369, 1295, 1289, 20853, 48899, 16613}},
+{10609, 17, 41508, {1, 1, 7, 15, 5, 23, 17, 77, 169, 969, 1459, 3795, 3121, 5501, 32323, 46743, 124175}},
+{10610, 17, 41512, {1, 1, 7, 13, 3, 25, 77, 153, 105, 1017, 1599, 237, 4691, 1993, 6707, 50265, 13529}},
+{10611, 17, 41517, {1, 3, 3, 15, 7, 11, 81, 223, 61, 589, 1263, 3999, 7643, 12101, 19853, 49279, 29999}},
+{10612, 17, 41520, {1, 3, 1, 13, 3, 31, 61, 59, 41, 313, 115, 561, 3973, 13513, 6359, 29395, 34565}},
+{10613, 17, 41529, {1, 1, 7, 7, 7, 61, 91, 181, 307, 875, 2045, 1367, 3743, 6497, 2443, 12153, 96431}},
+{10614, 17, 41530, {1, 1, 3, 7, 19, 63, 97, 211, 157, 945, 891, 3747, 5483, 3081, 28939, 11179, 15935}},
+{10615, 17, 41544, {1, 3, 7, 3, 23, 39, 51, 137, 91, 179, 1515, 1397, 2783, 9343, 11483, 52407, 111725}},
+{10616, 17, 41550, {1, 3, 3, 11, 11, 25, 111, 61, 115, 329, 485, 1713, 565, 8607, 18869, 6595, 18605}},
+{10617, 17, 41571, {1, 1, 5, 1, 13, 59, 67, 231, 443, 695, 1185, 393, 6393, 12957, 15817, 37219, 113127}},
+{10618, 17, 41577, {1, 3, 5, 3, 15, 57, 25, 97, 321, 627, 15, 2005, 3813, 10399, 26779, 24243, 66463}},
+{10619, 17, 41580, {1, 3, 7, 7, 17, 43, 117, 179, 447, 1005, 2007, 1753, 7685, 13331, 5187, 49341, 111927}},
+{10620, 17, 41595, {1, 1, 3, 3, 5, 53, 35, 185, 93, 847, 1523, 3039, 25, 3351, 23195, 41133, 38547}},
+{10621, 17, 41613, {1, 1, 7, 5, 27, 59, 95, 137, 55, 129, 331, 127, 7421, 5633, 557, 18137, 89055}},
+{10622, 17, 41622, {1, 3, 3, 11, 5, 53, 93, 137, 175, 191, 1645, 2047, 2569, 8177, 22691, 4037, 31823}},
+{10623, 17, 41635, {1, 3, 3, 11, 11, 45, 77, 7, 21, 541, 49, 1689, 171, 829, 28917, 45095, 1807}},
+{10624, 17, 41642, {1, 3, 7, 5, 21, 5, 113, 81, 33, 681, 361, 1107, 1597, 115, 11503, 27413, 9199}},
+{10625, 17, 41661, {1, 1, 3, 11, 29, 57, 15, 249, 105, 683, 833, 2579, 3517, 16153, 17373, 32587, 124333}},
+{10626, 17, 41676, {1, 3, 7, 13, 3, 35, 55, 23, 293, 5, 2003, 2741, 4237, 8117, 20569, 63967, 106041}},
+{10627, 17, 41681, {1, 3, 3, 1, 1, 15, 57, 119, 135, 967, 1495, 801, 4959, 5037, 10051, 53915, 116891}},
+{10628, 17, 41684, {1, 1, 7, 9, 15, 29, 53, 139, 505, 473, 1179, 3289, 369, 13147, 15739, 16739, 54949}},
+{10629, 17, 41687, {1, 1, 5, 7, 7, 45, 17, 213, 381, 63, 437, 3099, 3765, 175, 13521, 11689, 58675}},
+{10630, 17, 41688, {1, 1, 7, 1, 15, 35, 55, 43, 147, 873, 1193, 3801, 2301, 14569, 31789, 50443, 62577}},
+{10631, 17, 41694, {1, 1, 5, 7, 21, 41, 3, 45, 43, 303, 1465, 1461, 5295, 13397, 30439, 7103, 87505}},
+{10632, 17, 41698, {1, 1, 1, 15, 19, 27, 81, 141, 307, 259, 521, 1785, 6917, 15635, 27781, 64809, 53297}},
+{10633, 17, 41710, {1, 1, 1, 7, 27, 15, 53, 99, 377, 935, 1869, 3835, 741, 8447, 18947, 10727, 72179}},
+{10634, 17, 41712, {1, 1, 3, 5, 15, 51, 91, 207, 7, 997, 935, 591, 7325, 3025, 11335, 32087, 109535}},
+{10635, 17, 41721, {1, 3, 1, 5, 11, 13, 1, 57, 45, 307, 1839, 1735, 2247, 13117, 17471, 16599, 103063}},
+{10636, 17, 41722, {1, 3, 5, 11, 19, 7, 121, 3, 325, 731, 1945, 4025, 7649, 8939, 11147, 59065, 49971}},
+{10637, 17, 41729, {1, 3, 1, 5, 29, 63, 95, 121, 467, 7, 1857, 2389, 5213, 3931, 21187, 43529, 6767}},
+{10638, 17, 41744, {1, 1, 7, 7, 9, 53, 31, 227, 95, 827, 927, 3501, 2003, 12853, 2595, 33223, 125799}},
+{10639, 17, 41747, {1, 3, 3, 3, 27, 25, 105, 143, 233, 887, 1135, 3449, 5767, 11447, 10251, 34621, 102113}},
+{10640, 17, 41753, {1, 3, 3, 15, 3, 63, 85, 119, 103, 835, 443, 3861, 4957, 5389, 6137, 48851, 51887}},
+{10641, 17, 41766, {1, 3, 7, 9, 23, 23, 45, 129, 463, 653, 1309, 3533, 1303, 2955, 18023, 37457, 114765}},
+{10642, 17, 41783, {1, 3, 7, 1, 23, 17, 31, 151, 71, 515, 781, 1793, 3507, 6051, 30279, 29461, 48271}},
+{10643, 17, 41790, {1, 3, 5, 15, 1, 31, 9, 187, 131, 571, 1309, 965, 7561, 16113, 23209, 54615, 16969}},
+{10644, 17, 41810, {1, 3, 5, 11, 11, 9, 109, 161, 9, 697, 1683, 1245, 2223, 3571, 18117, 13085, 99315}},
+{10645, 17, 41819, {1, 3, 3, 1, 13, 21, 27, 17, 11, 11, 1095, 1447, 6941, 3399, 21245, 36661, 54283}},
+{10646, 17, 41825, {1, 3, 1, 3, 21, 51, 21, 197, 161, 689, 1219, 1337, 6623, 5765, 11579, 2679, 23889}},
+{10647, 17, 41828, {1, 1, 5, 11, 7, 31, 101, 25, 231, 719, 1677, 1545, 459, 14735, 25153, 65079, 15141}},
+{10648, 17, 41843, {1, 1, 7, 9, 17, 7, 49, 1, 83, 829, 815, 307, 3405, 15189, 23699, 50889, 70391}},
+{10649, 17, 41846, {1, 1, 3, 15, 21, 57, 97, 191, 415, 899, 197, 2635, 7507, 14009, 8633, 48997, 93925}},
+{10650, 17, 41862, {1, 3, 5, 15, 23, 13, 67, 127, 33, 551, 911, 3933, 2027, 10665, 19509, 18485, 76111}},
+{10651, 17, 41871, {1, 1, 5, 7, 23, 63, 19, 149, 139, 155, 1621, 3391, 2337, 2809, 21161, 38565, 401}},
+{10652, 17, 41874, {1, 1, 1, 7, 19, 23, 81, 49, 339, 879, 1903, 657, 2677, 2273, 10853, 3225, 57933}},
+{10653, 17, 41876, {1, 3, 5, 5, 13, 31, 19, 203, 269, 1015, 997, 2151, 4471, 11331, 5363, 46519, 51709}},
+{10654, 17, 41892, {1, 1, 5, 11, 29, 19, 17, 169, 511, 389, 1429, 2707, 1341, 10511, 6779, 43345, 68693}},
+{10655, 17, 41899, {1, 1, 5, 11, 19, 25, 29, 37, 423, 345, 953, 2525, 5937, 6595, 31389, 39347, 36343}},
+{10656, 17, 41916, {1, 3, 1, 3, 15, 25, 45, 95, 111, 207, 19, 1723, 4113, 421, 3297, 46771, 8639}},
+{10657, 17, 41928, {1, 1, 3, 9, 9, 47, 27, 99, 327, 393, 1547, 1587, 4463, 719, 14609, 24347, 68107}},
+{10658, 17, 41957, {1, 3, 7, 7, 29, 19, 57, 229, 131, 497, 109, 251, 6599, 8947, 10255, 12875, 83831}},
+{10659, 17, 41964, {1, 3, 3, 7, 17, 5, 17, 45, 423, 393, 1793, 3, 603, 15221, 13141, 40585, 37489}},
+{10660, 17, 41969, {1, 1, 1, 11, 5, 1, 53, 147, 129, 135, 1473, 17, 7539, 13513, 16045, 17375, 41261}},
+{10661, 17, 41981, {1, 3, 1, 5, 3, 15, 75, 57, 47, 581, 739, 3529, 4323, 10225, 27861, 14431, 106811}},
+{10662, 17, 41996, {1, 3, 3, 13, 23, 57, 41, 39, 217, 67, 595, 1381, 6281, 10125, 30605, 7935, 124219}},
+{10663, 17, 41999, {1, 1, 7, 15, 15, 45, 1, 135, 495, 271, 2023, 3267, 39, 15025, 32763, 39023, 20041}},
+{10664, 17, 42001, {1, 3, 7, 13, 23, 53, 75, 147, 187, 633, 1989, 1885, 6581, 12169, 13639, 19707, 96429}},
+{10665, 17, 42017, {1, 1, 5, 9, 13, 55, 13, 41, 305, 105, 1983, 273, 35, 5185, 22569, 54203, 31641}},
+{10666, 17, 42023, {1, 1, 3, 15, 21, 19, 59, 35, 165, 575, 1961, 1443, 4803, 2339, 28329, 47695, 21505}},
+{10667, 17, 42027, {1, 3, 1, 3, 23, 45, 95, 85, 55, 457, 1957, 1243, 4091, 14669, 13213, 53901, 122605}},
+{10668, 17, 42032, {1, 3, 7, 1, 13, 1, 61, 253, 195, 839, 181, 1153, 1391, 205, 6725, 1757, 86817}},
+{10669, 17, 42035, {1, 1, 3, 9, 7, 13, 115, 137, 169, 851, 299, 509, 6709, 6331, 51, 31833, 25217}},
+{10670, 17, 42044, {1, 1, 5, 15, 29, 23, 119, 15, 41, 585, 1713, 1203, 1653, 3287, 25333, 58873, 71853}},
+{10671, 17, 42050, {1, 3, 5, 15, 1, 45, 35, 79, 97, 381, 2027, 3795, 2127, 4775, 4579, 63267, 24719}},
+{10672, 17, 42061, {1, 1, 5, 7, 17, 21, 123, 75, 3, 887, 1537, 2017, 1623, 16315, 12535, 64281, 54925}},
+{10673, 17, 42062, {1, 1, 3, 13, 5, 23, 117, 43, 305, 365, 775, 1599, 5917, 13995, 6353, 3113, 106317}},
+{10674, 17, 42073, {1, 1, 3, 11, 21, 19, 9, 11, 129, 349, 579, 3523, 5259, 8083, 24513, 15077, 115377}},
+{10675, 17, 42098, {1, 1, 7, 9, 19, 31, 107, 3, 185, 821, 907, 2389, 7015, 3161, 13603, 35063, 60641}},
+{10676, 17, 42104, {1, 1, 3, 1, 19, 35, 105, 245, 363, 745, 1287, 4051, 5201, 7787, 20919, 26567, 37357}},
+{10677, 17, 42109, {1, 3, 1, 1, 23, 31, 1, 149, 61, 489, 371, 987, 3689, 14275, 8581, 48221, 44183}},
+{10678, 17, 42120, {1, 1, 5, 3, 9, 35, 51, 17, 439, 355, 461, 2129, 1567, 13261, 22347, 17013, 53857}},
+{10679, 17, 42125, {1, 3, 3, 15, 3, 33, 59, 185, 157, 933, 1489, 647, 4839, 12139, 3145, 57819, 11731}},
+{10680, 17, 42131, {1, 3, 5, 15, 17, 31, 59, 51, 117, 1001, 1585, 2861, 2785, 9579, 28013, 4481, 126723}},
+{10681, 17, 42143, {1, 3, 7, 13, 27, 1, 41, 119, 179, 879, 1617, 4053, 3537, 15389, 16381, 40153, 68019}},
+{10682, 17, 42153, {1, 1, 3, 13, 13, 35, 45, 203, 333, 337, 1415, 1889, 2361, 4207, 10411, 21013, 44009}},
+{10683, 17, 42176, {1, 3, 3, 5, 27, 9, 17, 85, 331, 369, 1219, 247, 1977, 12267, 1181, 18811, 54017}},
+{10684, 17, 42182, {1, 3, 5, 9, 21, 57, 57, 175, 283, 639, 1155, 1595, 8187, 9981, 21451, 7525, 52751}},
+{10685, 17, 42188, {1, 3, 1, 5, 27, 61, 95, 25, 271, 81, 1335, 2821, 7805, 10167, 13197, 58341, 62325}},
+{10686, 17, 42203, {1, 1, 7, 3, 15, 31, 75, 5, 211, 663, 551, 963, 6015, 11907, 17045, 22863, 32389}},
+{10687, 17, 42216, {1, 1, 7, 5, 21, 53, 67, 71, 251, 135, 1153, 2247, 2499, 15431, 21419, 46737, 2827}},
+{10688, 17, 42219, {1, 1, 5, 3, 31, 25, 39, 209, 437, 791, 1595, 637, 1581, 6575, 26407, 24043, 11277}},
+{10689, 17, 42227, {1, 3, 3, 5, 21, 15, 13, 19, 259, 949, 1237, 239, 5739, 4661, 3405, 55775, 58781}},
+{10690, 17, 42234, {1, 1, 3, 5, 1, 63, 5, 197, 329, 625, 981, 913, 3957, 2765, 8801, 56675, 129511}},
+{10691, 17, 42251, {1, 3, 3, 3, 29, 53, 65, 145, 435, 937, 787, 2043, 4945, 14585, 2789, 15771, 112335}},
+{10692, 17, 42254, {1, 3, 7, 13, 3, 23, 33, 141, 131, 375, 739, 711, 897, 469, 3635, 43335, 3069}},
+{10693, 17, 42256, {1, 1, 7, 11, 29, 13, 111, 149, 197, 793, 1541, 1879, 7683, 9397, 6873, 43733, 118507}},
+{10694, 17, 42259, {1, 3, 7, 7, 29, 21, 97, 113, 139, 573, 1099, 2615, 5123, 13021, 9533, 57673, 79283}},
+{10695, 17, 42282, {1, 3, 1, 5, 11, 9, 59, 89, 469, 797, 1119, 1037, 1667, 5947, 6051, 65045, 98275}},
+{10696, 17, 42289, {1, 3, 3, 9, 11, 7, 51, 191, 321, 677, 1601, 681, 3579, 14441, 26579, 18019, 43065}},
+{10697, 17, 42302, {1, 3, 5, 11, 7, 11, 79, 21, 335, 537, 801, 3553, 4311, 375, 7333, 64839, 88841}},
+{10698, 17, 42307, {1, 3, 1, 7, 5, 11, 15, 163, 69, 645, 57, 3685, 5143, 8275, 12763, 25035, 68949}},
+{10699, 17, 42310, {1, 1, 3, 13, 29, 33, 125, 179, 431, 129, 1367, 951, 5843, 13419, 13897, 17315, 58083}},
+{10700, 17, 42322, {1, 1, 3, 11, 31, 33, 3, 7, 185, 821, 231, 869, 6147, 15243, 32029, 20295, 60871}},
+{10701, 17, 42328, {1, 1, 1, 1, 31, 43, 21, 103, 275, 573, 805, 225, 2049, 8375, 32595, 53201, 126487}},
+{10702, 17, 42338, {1, 1, 1, 9, 31, 29, 7, 91, 277, 937, 1223, 2435, 4335, 7861, 9647, 13577, 30059}},
+{10703, 17, 42349, {1, 1, 1, 1, 23, 25, 69, 175, 293, 905, 765, 1527, 6655, 15431, 2511, 3147, 75431}},
+{10704, 17, 42367, {1, 3, 3, 3, 15, 53, 109, 195, 87, 557, 1277, 1471, 7401, 14127, 11479, 41505, 769}},
+{10705, 17, 42386, {1, 1, 5, 11, 23, 37, 121, 181, 199, 359, 1521, 2561, 3641, 7621, 14219, 6959, 77529}},
+{10706, 17, 42398, {1, 3, 1, 11, 5, 7, 69, 199, 501, 251, 707, 1485, 8125, 3209, 30883, 40259, 85087}},
+{10707, 17, 42404, {1, 3, 5, 13, 9, 35, 5, 133, 505, 39, 581, 1605, 6303, 1211, 27211, 55591, 31689}},
+{10708, 17, 42413, {1, 1, 5, 3, 17, 7, 11, 61, 483, 59, 1569, 2583, 759, 5759, 3575, 44547, 89783}},
+{10709, 17, 42419, {1, 1, 7, 15, 5, 27, 107, 5, 471, 421, 383, 3591, 3609, 13817, 633, 22043, 83119}},
+{10710, 17, 42421, {1, 1, 3, 7, 27, 55, 61, 249, 37, 241, 1483, 2839, 1231, 4765, 1551, 55801, 129679}},
+{10711, 17, 42422, {1, 1, 1, 3, 11, 1, 19, 207, 143, 351, 409, 721, 4597, 13389, 30297, 43253, 129923}},
+{10712, 17, 42431, {1, 3, 3, 7, 7, 53, 83, 27, 167, 163, 537, 3871, 2459, 12813, 30019, 41131, 56109}},
+{10713, 17, 42445, {1, 1, 5, 1, 23, 37, 11, 67, 161, 751, 123, 307, 3341, 12983, 21565, 58529, 94503}},
+{10714, 17, 42448, {1, 3, 3, 15, 11, 33, 39, 195, 467, 647, 1479, 1197, 7949, 6501, 18375, 15263, 21121}},
+{10715, 17, 42451, {1, 3, 5, 13, 3, 35, 9, 253, 299, 679, 69, 165, 2735, 14725, 4217, 16391, 107017}},
+{10716, 17, 42454, {1, 1, 1, 15, 3, 11, 87, 87, 391, 515, 843, 3957, 1365, 13201, 15983, 53647, 35643}},
+{10717, 17, 42458, {1, 1, 3, 7, 9, 53, 45, 221, 209, 855, 169, 2729, 1219, 5229, 14111, 28877, 114653}},
+{10718, 17, 42470, {1, 1, 5, 3, 11, 17, 5, 93, 303, 785, 1895, 2483, 7399, 14031, 1007, 2743, 47307}},
+{10719, 17, 42476, {1, 1, 7, 11, 9, 13, 115, 31, 223, 1011, 723, 1291, 5183, 559, 15881, 43045, 28131}},
+{10720, 17, 42500, {1, 3, 7, 11, 7, 59, 85, 111, 79, 227, 691, 1597, 2453, 10023, 19255, 47781, 88351}},
+{10721, 17, 42509, {1, 3, 3, 7, 21, 33, 39, 35, 253, 743, 563, 2455, 8015, 13403, 24883, 47881, 115559}},
+{10722, 17, 42538, {1, 3, 1, 1, 5, 33, 69, 37, 225, 157, 1347, 3241, 4981, 15985, 9949, 49189, 21267}},
+{10723, 17, 42543, {1, 1, 3, 11, 9, 33, 123, 133, 215, 297, 961, 1571, 1133, 1, 31871, 25253, 100097}},
+{10724, 17, 42545, {1, 1, 1, 7, 13, 29, 101, 127, 113, 785, 1257, 525, 7397, 13143, 30315, 5969, 37829}},
+{10725, 17, 42546, {1, 1, 1, 7, 29, 33, 17, 95, 439, 577, 1857, 423, 63, 15365, 4777, 59073, 7773}},
+{10726, 17, 42563, {1, 1, 5, 15, 3, 17, 89, 133, 217, 601, 1979, 391, 105, 13709, 10081, 37725, 40957}},
+{10727, 17, 42570, {1, 1, 1, 15, 25, 7, 85, 197, 155, 367, 1927, 2007, 2563, 13147, 2345, 28735, 88243}},
+{10728, 17, 42580, {1, 3, 5, 3, 5, 33, 87, 153, 153, 779, 825, 2163, 385, 11663, 2005, 51261, 25893}},
+{10729, 17, 42584, {1, 3, 5, 5, 23, 15, 19, 99, 71, 723, 523, 3683, 7773, 191, 17423, 30497, 129889}},
+{10730, 17, 42589, {1, 1, 7, 11, 1, 3, 49, 119, 39, 661, 297, 27, 1575, 12145, 18519, 57285, 50059}},
+{10731, 17, 42608, {1, 3, 7, 5, 7, 37, 75, 235, 403, 743, 603, 1689, 5031, 8871, 28241, 16917, 16947}},
+{10732, 17, 42618, {1, 1, 5, 13, 17, 41, 67, 219, 237, 365, 833, 3521, 3211, 1037, 5657, 34789, 119739}},
+{10733, 17, 42629, {1, 1, 5, 7, 3, 61, 89, 107, 335, 825, 803, 2445, 6861, 5421, 14585, 44037, 92711}},
+{10734, 17, 42636, {1, 3, 7, 3, 19, 25, 81, 51, 101, 477, 1653, 2841, 6597, 9261, 30609, 15681, 48897}},
+{10735, 17, 42639, {1, 1, 7, 11, 17, 1, 43, 39, 133, 513, 1839, 553, 6379, 4865, 28161, 7249, 80073}},
+{10736, 17, 42644, {1, 1, 5, 5, 13, 45, 19, 225, 399, 679, 195, 3613, 413, 2901, 26749, 39971, 31435}},
+{10737, 17, 42647, {1, 3, 7, 3, 23, 55, 57, 77, 447, 721, 677, 271, 6211, 12631, 5843, 35991, 82653}},
+{10738, 17, 42651, {1, 1, 1, 1, 3, 63, 23, 195, 1, 1019, 723, 3865, 5913, 5491, 5495, 27483, 73637}},
+{10739, 17, 42654, {1, 3, 1, 11, 17, 31, 27, 211, 411, 789, 1049, 2487, 2203, 6457, 7275, 4833, 14131}},
+{10740, 17, 42658, {1, 1, 5, 15, 15, 13, 65, 155, 127, 753, 1605, 1859, 2873, 9197, 1763, 11969, 82971}},
+{10741, 17, 42669, {1, 1, 3, 11, 11, 63, 13, 29, 31, 851, 251, 3231, 1227, 5513, 9785, 34659, 123811}},
+{10742, 17, 42678, {1, 3, 5, 1, 19, 57, 41, 205, 91, 39, 989, 1897, 4789, 16071, 6507, 29363, 75773}},
+{10743, 17, 42689, {1, 1, 1, 1, 5, 29, 113, 203, 53, 599, 1529, 1417, 7017, 9609, 4867, 17659, 80719}},
+{10744, 17, 42695, {1, 3, 7, 9, 27, 17, 77, 25, 461, 511, 781, 2977, 7601, 3551, 23615, 57669, 119723}},
+{10745, 17, 42696, {1, 3, 3, 9, 23, 43, 115, 21, 125, 237, 893, 1431, 7423, 3717, 4371, 36193, 30481}},
+{10746, 17, 42710, {1, 1, 5, 13, 3, 37, 13, 239, 267, 665, 205, 2745, 3865, 12167, 26689, 999, 9355}},
+{10747, 17, 42716, {1, 1, 1, 1, 31, 35, 55, 115, 387, 217, 657, 2827, 2963, 3687, 24271, 41701, 5911}},
+{10748, 17, 42730, {1, 1, 3, 3, 27, 57, 41, 183, 351, 841, 1327, 719, 7043, 12503, 17953, 60719, 98223}},
+{10749, 17, 42732, {1, 3, 1, 1, 27, 1, 119, 85, 197, 673, 1951, 2949, 4783, 561, 12807, 43355, 63397}},
+{10750, 17, 42747, {1, 1, 7, 7, 17, 63, 109, 87, 303, 439, 529, 685, 111, 8405, 21249, 33803, 77927}},
+{10751, 17, 42750, {1, 1, 7, 9, 11, 63, 27, 185, 445, 25, 1313, 3979, 4229, 8797, 10671, 33995, 84463}},
+{10752, 17, 42752, {1, 1, 1, 15, 27, 63, 67, 237, 39, 993, 851, 4075, 3417, 1077, 11939, 31737, 93897}},
+{10753, 17, 42761, {1, 1, 3, 5, 25, 9, 51, 241, 213, 661, 1135, 213, 7027, 5933, 24485, 65029, 8583}},
+{10754, 17, 42772, {1, 3, 5, 11, 31, 1, 17, 237, 107, 1021, 279, 181, 1741, 11099, 7871, 63231, 64445}},
+{10755, 17, 42776, {1, 3, 5, 9, 17, 21, 11, 45, 23, 409, 519, 1703, 5467, 9591, 13555, 23739, 73837}},
+{10756, 17, 42779, {1, 3, 3, 15, 3, 39, 11, 157, 273, 241, 413, 1723, 3179, 2125, 16859, 5231, 122969}},
+{10757, 17, 42797, {1, 3, 5, 11, 21, 27, 29, 243, 255, 1011, 1179, 3545, 3557, 8091, 31569, 10217, 108361}},
+{10758, 17, 42815, {1, 1, 5, 9, 25, 33, 29, 67, 395, 123, 1405, 3855, 7481, 5601, 21231, 17099, 13399}},
+{10759, 17, 42824, {1, 1, 5, 5, 13, 17, 111, 47, 77, 827, 577, 1767, 3367, 11719, 8801, 22431, 85451}},
+{10760, 17, 42837, {1, 3, 7, 11, 11, 31, 17, 141, 149, 293, 55, 3459, 19, 13709, 29135, 62765, 66455}},
+{10761, 17, 42844, {1, 1, 7, 15, 13, 19, 59, 211, 189, 773, 1791, 2089, 2857, 1635, 17777, 46585, 70115}},
+{10762, 17, 42868, {1, 1, 5, 11, 29, 29, 15, 7, 93, 733, 1605, 3731, 2381, 1063, 15565, 25081, 46651}},
+{10763, 17, 42877, {1, 3, 1, 9, 25, 5, 87, 113, 25, 93, 881, 1137, 3237, 10983, 14317, 25945, 121493}},
+{10764, 17, 42888, {1, 1, 5, 11, 29, 47, 99, 111, 165, 453, 259, 2001, 7715, 2609, 15633, 40273, 2065}},
+{10765, 17, 42891, {1, 1, 7, 13, 11, 29, 33, 255, 149, 361, 89, 2837, 49, 3033, 1917, 9029, 38123}},
+{10766, 17, 42912, {1, 1, 1, 7, 27, 31, 105, 61, 469, 497, 1919, 3005, 3651, 2143, 24359, 8053, 103647}},
+{10767, 17, 42918, {1, 1, 3, 13, 31, 63, 101, 47, 397, 89, 1915, 2385, 5399, 8897, 21001, 42997, 110333}},
+{10768, 17, 42921, {1, 3, 7, 5, 29, 1, 5, 119, 493, 349, 153, 1839, 283, 14343, 12975, 55597, 89467}},
+{10769, 17, 42927, {1, 3, 5, 3, 5, 51, 71, 227, 63, 799, 745, 1387, 2435, 1003, 27937, 43421, 12279}},
+{10770, 17, 42949, {1, 3, 3, 7, 7, 31, 37, 61, 11, 175, 581, 1583, 4737, 3087, 10335, 60683, 57085}},
+{10771, 17, 42953, {1, 3, 1, 1, 1, 63, 59, 47, 417, 35, 1673, 3277, 1873, 14981, 22463, 26835, 91115}},
+{10772, 17, 42967, {1, 1, 7, 5, 15, 23, 115, 13, 253, 583, 219, 1307, 1189, 9891, 641, 20841, 87133}},
+{10773, 17, 42974, {1, 1, 5, 11, 1, 3, 71, 235, 429, 335, 1649, 1775, 3077, 13723, 3209, 19807, 7283}},
+{10774, 17, 42989, {1, 1, 7, 1, 31, 49, 39, 141, 127, 63, 1561, 2559, 7661, 4825, 9419, 15327, 87145}},
+{10775, 17, 42995, {1, 1, 5, 3, 17, 33, 51, 219, 467, 151, 161, 3301, 7509, 2235, 30371, 64031, 62741}},
+{10776, 17, 42997, {1, 3, 1, 3, 23, 63, 43, 29, 399, 279, 271, 3537, 1863, 1811, 14917, 28247, 34807}},
+{10777, 17, 43007, {1, 1, 3, 5, 13, 29, 37, 151, 129, 19, 149, 2145, 5363, 6835, 19655, 1207, 74527}},
+{10778, 17, 43018, {1, 3, 5, 7, 27, 35, 63, 53, 247, 987, 1767, 483, 3489, 1711, 10763, 6981, 78251}},
+{10779, 17, 43025, {1, 1, 3, 1, 15, 47, 83, 147, 375, 539, 1623, 29, 4599, 7981, 23533, 64659, 48753}},
+{10780, 17, 43031, {1, 1, 1, 9, 21, 17, 85, 45, 167, 469, 1319, 2969, 1605, 1405, 9961, 28829, 125757}},
+{10781, 17, 43032, {1, 3, 1, 11, 3, 45, 43, 159, 301, 579, 1821, 701, 1149, 457, 16601, 49377, 99845}},
+{10782, 17, 43038, {1, 1, 7, 13, 11, 7, 37, 227, 345, 973, 1167, 1247, 5109, 10917, 3029, 60065, 127347}},
+{10783, 17, 43041, {1, 1, 3, 5, 3, 63, 95, 233, 495, 225, 1225, 3451, 7731, 14677, 10437, 1417, 33293}},
+{10784, 17, 43054, {1, 1, 7, 15, 1, 3, 3, 171, 201, 1009, 1481, 587, 7661, 10085, 4961, 46415, 28573}},
+{10785, 17, 43074, {1, 1, 5, 1, 3, 45, 67, 79, 463, 733, 2007, 2811, 2943, 14857, 23469, 14479, 97875}},
+{10786, 17, 43085, {1, 1, 1, 5, 19, 1, 29, 29, 447, 173, 1081, 153, 5343, 5707, 1357, 30169, 122527}},
+{10787, 17, 43097, {1, 1, 1, 5, 15, 57, 33, 129, 71, 717, 173, 3271, 4741, 13211, 28321, 56793, 119833}},
+{10788, 17, 43098, {1, 3, 3, 9, 9, 41, 47, 71, 103, 713, 725, 1335, 5261, 13835, 17619, 47429, 69815}},
+{10789, 17, 43110, {1, 3, 3, 15, 7, 3, 71, 25, 75, 967, 1037, 3585, 3407, 9979, 2195, 51087, 126535}},
+{10790, 17, 43119, {1, 3, 3, 11, 25, 7, 25, 249, 473, 339, 1211, 3503, 4343, 9707, 26127, 62061, 52479}},
+{10791, 17, 43131, {1, 1, 3, 3, 27, 9, 79, 197, 207, 845, 377, 3231, 5177, 899, 19497, 41187, 105897}},
+{10792, 17, 43143, {1, 3, 5, 15, 5, 27, 65, 151, 207, 677, 713, 2495, 681, 15341, 5389, 51965, 43761}},
+{10793, 17, 43144, {1, 3, 3, 11, 19, 11, 55, 189, 291, 183, 1345, 2677, 791, 2391, 25771, 55147, 24223}},
+{10794, 17, 43152, {1, 1, 3, 11, 31, 59, 29, 5, 275, 483, 1361, 1527, 3019, 245, 17667, 57905, 41329}},
+{10795, 17, 43157, {1, 3, 3, 9, 7, 19, 83, 71, 147, 999, 793, 3535, 1931, 12817, 2707, 45735, 31311}},
+{10796, 17, 43178, {1, 1, 5, 7, 5, 1, 117, 247, 127, 1011, 1441, 2449, 4095, 12239, 4743, 64781, 32621}},
+{10797, 17, 43180, {1, 3, 1, 11, 19, 57, 43, 39, 97, 485, 951, 989, 5975, 5219, 14421, 43681, 37305}},
+{10798, 17, 43192, {1, 1, 5, 15, 7, 49, 113, 161, 199, 545, 1113, 3821, 2019, 8747, 4085, 50823, 31955}},
+{10799, 17, 43197, {1, 3, 3, 3, 19, 41, 47, 191, 403, 25, 2043, 3489, 6263, 4843, 12961, 63791, 5027}},
+{10800, 17, 43203, {1, 1, 7, 1, 25, 55, 5, 51, 121, 273, 973, 3893, 1771, 9373, 21927, 29353, 95935}},
+{10801, 17, 43220, {1, 3, 3, 3, 27, 1, 97, 63, 445, 179, 481, 2995, 3123, 4687, 24359, 35973, 74535}},
+{10802, 17, 43236, {1, 1, 5, 1, 29, 23, 117, 183, 197, 819, 695, 641, 4155, 13593, 30965, 41407, 42433}},
+{10803, 17, 43245, {1, 3, 5, 1, 23, 53, 61, 253, 87, 487, 1995, 1281, 3367, 15047, 3493, 41711, 53407}},
+{10804, 17, 43246, {1, 1, 1, 9, 27, 49, 83, 21, 63, 181, 1661, 1649, 281, 12141, 25771, 35563, 42643}},
+{10805, 17, 43260, {1, 3, 5, 13, 15, 59, 121, 113, 379, 487, 1929, 3725, 2477, 6527, 8619, 64869, 57103}},
+{10806, 17, 43265, {1, 3, 1, 7, 27, 39, 69, 93, 193, 395, 433, 2091, 151, 6921, 11599, 36143, 41179}},
+{10807, 17, 43271, {1, 1, 7, 1, 31, 33, 73, 199, 57, 37, 1387, 3505, 7919, 3507, 2855, 8239, 84527}},
+{10808, 17, 43285, {1, 1, 7, 5, 15, 5, 119, 253, 263, 785, 1409, 1485, 3675, 5515, 13057, 30323, 98015}},
+{10809, 17, 43286, {1, 3, 1, 1, 11, 5, 57, 83, 365, 703, 1923, 1397, 1103, 4015, 13123, 47093, 113793}},
+{10810, 17, 43290, {1, 3, 3, 1, 5, 61, 29, 173, 189, 999, 897, 3389, 6745, 1487, 2349, 59105, 107407}},
+{10811, 17, 43299, {1, 1, 1, 1, 17, 51, 65, 1, 249, 863, 399, 3819, 2485, 12215, 12365, 58909, 25559}},
+{10812, 17, 43314, {1, 3, 7, 1, 31, 39, 43, 219, 51, 13, 779, 505, 2259, 14571, 9049, 21555, 11869}},
+{10813, 17, 43323, {1, 1, 7, 7, 13, 5, 97, 85, 111, 511, 587, 63, 2395, 8099, 26223, 757, 119821}},
+{10814, 17, 43337, {1, 3, 3, 5, 5, 19, 113, 35, 101, 41, 499, 1313, 6489, 6793, 31435, 45007, 95691}},
+{10815, 17, 43348, {1, 3, 5, 15, 19, 37, 103, 187, 347, 667, 1957, 1825, 7447, 12359, 21779, 52749, 18679}},
+{10816, 17, 43355, {1, 3, 5, 5, 17, 19, 19, 193, 435, 379, 439, 2093, 725, 2133, 15659, 54645, 59567}},
+{10817, 17, 43357, {1, 3, 7, 3, 23, 35, 33, 13, 23, 349, 231, 1635, 1625, 5039, 21299, 36413, 104681}},
+{10818, 17, 43358, {1, 1, 3, 13, 23, 49, 15, 253, 509, 9, 411, 2157, 3737, 11227, 6021, 42919, 100375}},
+{10819, 17, 43361, {1, 1, 7, 1, 17, 11, 33, 167, 219, 63, 137, 741, 4193, 16149, 9657, 50223, 85213}},
+{10820, 17, 43362, {1, 3, 7, 11, 23, 59, 113, 149, 427, 697, 1723, 255, 201, 10081, 1079, 323, 109091}},
+{10821, 17, 43364, {1, 3, 3, 15, 11, 9, 89, 39, 67, 249, 1939, 1737, 3719, 10515, 16517, 22345, 83959}},
+{10822, 17, 43368, {1, 3, 3, 13, 5, 33, 127, 9, 329, 429, 563, 1579, 4427, 8343, 22083, 5035, 124915}},
+{10823, 17, 43376, {1, 1, 1, 5, 15, 57, 121, 171, 315, 983, 743, 2015, 2421, 12431, 2561, 13331, 73163}},
+{10824, 17, 43385, {1, 1, 3, 9, 1, 39, 85, 159, 23, 979, 1467, 231, 4231, 3669, 16747, 24195, 46745}},
+{10825, 17, 43386, {1, 1, 3, 7, 3, 11, 65, 67, 85, 455, 365, 2279, 3471, 12771, 14443, 42773, 28723}},
+{10826, 17, 43391, {1, 3, 5, 1, 13, 9, 105, 237, 103, 59, 1301, 3125, 509, 12669, 3893, 9775, 81303}},
+{10827, 17, 43397, {1, 1, 3, 11, 19, 9, 125, 23, 191, 979, 533, 429, 3239, 15013, 13833, 40689, 102827}},
+{10828, 17, 43431, {1, 3, 3, 7, 15, 5, 83, 243, 467, 913, 1279, 3889, 8049, 8357, 5957, 39073, 93521}},
+{10829, 17, 43438, {1, 3, 3, 3, 19, 5, 123, 77, 289, 57, 2001, 807, 5257, 1671, 20273, 10183, 128439}},
+{10830, 17, 43440, {1, 1, 7, 13, 19, 45, 25, 47, 135, 929, 1353, 2731, 3351, 7637, 27037, 58835, 50285}},
+{10831, 17, 43452, {1, 3, 1, 1, 13, 55, 55, 197, 409, 93, 1351, 161, 1885, 5913, 27937, 49793, 84541}},
+{10832, 17, 43463, {1, 1, 3, 7, 29, 21, 113, 179, 203, 533, 1471, 2035, 447, 6781, 28729, 31099, 23027}},
+{10833, 17, 43470, {1, 1, 3, 11, 27, 3, 5, 209, 367, 945, 749, 3637, 2881, 8139, 27875, 34223, 97263}},
+{10834, 17, 43478, {1, 3, 5, 13, 25, 27, 35, 3, 13, 707, 303, 3663, 6617, 13501, 25537, 33077, 71485}},
+{10835, 17, 43481, {1, 1, 7, 15, 11, 29, 65, 47, 235, 635, 133, 153, 6175, 2961, 8171, 28641, 122589}},
+{10836, 17, 43488, {1, 1, 5, 15, 17, 41, 85, 147, 323, 673, 1629, 3477, 3341, 16373, 13901, 60961, 39451}},
+{10837, 17, 43491, {1, 3, 1, 15, 29, 15, 37, 109, 293, 863, 1835, 1173, 2263, 13815, 24995, 6989, 103417}},
+{10838, 17, 43506, {1, 3, 3, 15, 3, 31, 23, 47, 15, 717, 1457, 1067, 6229, 7051, 21771, 54815, 115827}},
+{10839, 17, 43512, {1, 1, 1, 13, 21, 3, 45, 239, 89, 603, 407, 781, 8095, 7389, 18035, 32229, 39867}},
+{10840, 17, 43539, {1, 1, 3, 7, 7, 59, 79, 51, 411, 917, 803, 2455, 2623, 12413, 23957, 44199, 67903}},
+{10841, 17, 43567, {1, 3, 1, 9, 17, 37, 117, 47, 101, 733, 1861, 1111, 6785, 13743, 24371, 49427, 54711}},
+{10842, 17, 43579, {1, 3, 1, 15, 27, 63, 107, 33, 351, 287, 1765, 1947, 6209, 8127, 30007, 18757, 31453}},
+{10843, 17, 43584, {1, 3, 5, 13, 11, 13, 29, 247, 7, 609, 1235, 1767, 5365, 12673, 10151, 51579, 106407}},
+{10844, 17, 43601, {1, 3, 7, 15, 5, 25, 81, 197, 51, 615, 1695, 259, 7983, 1403, 7903, 21441, 73263}},
+{10845, 17, 43614, {1, 1, 5, 1, 13, 61, 55, 175, 445, 3, 1957, 1171, 6823, 4285, 11847, 12789, 79787}},
+{10846, 17, 43617, {1, 1, 5, 15, 17, 51, 111, 201, 45, 97, 45, 2533, 1125, 3663, 13685, 45719, 51497}},
+{10847, 17, 43623, {1, 3, 3, 13, 29, 59, 111, 97, 381, 477, 1229, 3709, 5185, 7055, 32729, 32881, 25539}},
+{10848, 17, 43630, {1, 3, 1, 9, 1, 39, 57, 143, 189, 625, 1717, 1755, 3129, 807, 27975, 15511, 66123}},
+{10849, 17, 43647, {1, 3, 3, 1, 5, 41, 25, 27, 163, 397, 1595, 2325, 1803, 12439, 25743, 24509, 72613}},
+{10850, 17, 43658, {1, 1, 5, 13, 29, 41, 125, 113, 367, 709, 1911, 669, 831, 5375, 31145, 26197, 33543}},
+{10851, 17, 43663, {1, 1, 5, 1, 1, 5, 91, 199, 133, 273, 393, 1179, 717, 12791, 17693, 6905, 20433}},
+{10852, 17, 43665, {1, 1, 3, 15, 29, 35, 9, 127, 383, 673, 1821, 2765, 2425, 11789, 19741, 43189, 99557}},
+{10853, 17, 43691, {1, 1, 7, 13, 9, 19, 119, 103, 11, 983, 623, 391, 1609, 2333, 19843, 28269, 41237}},
+{10854, 17, 43701, {1, 3, 7, 5, 29, 3, 13, 213, 387, 361, 749, 669, 1625, 5687, 11369, 38119, 38389}},
+{10855, 17, 43705, {1, 3, 5, 13, 13, 51, 47, 33, 1, 979, 1817, 2633, 7181, 47, 3603, 49211, 4377}},
+{10856, 17, 43708, {1, 3, 1, 1, 11, 63, 5, 249, 13, 805, 1097, 1449, 5235, 16299, 25855, 30949, 3013}},
+{10857, 17, 43719, {1, 3, 7, 9, 29, 35, 89, 135, 475, 945, 999, 771, 6023, 13317, 32611, 43971, 10393}},
+{10858, 17, 43731, {1, 1, 1, 5, 23, 3, 37, 117, 95, 985, 1599, 2191, 3617, 5831, 31113, 10873, 112219}},
+{10859, 17, 43737, {1, 3, 5, 7, 11, 15, 55, 65, 239, 365, 1209, 3509, 8101, 8619, 24775, 65291, 50589}},
+{10860, 17, 43740, {1, 1, 7, 9, 21, 19, 123, 83, 317, 717, 433, 31, 2597, 14723, 28839, 7817, 126123}},
+{10861, 17, 43747, {1, 1, 7, 11, 3, 33, 99, 39, 227, 279, 353, 1921, 7883, 16187, 5157, 41121, 89425}},
+{10862, 17, 43749, {1, 3, 5, 9, 25, 7, 29, 165, 129, 77, 159, 923, 1357, 1159, 23537, 58087, 56443}},
+{10863, 17, 43750, {1, 1, 7, 3, 13, 51, 45, 161, 27, 41, 1295, 2937, 7223, 5271, 17927, 23311, 2543}},
+{10864, 17, 43754, {1, 1, 1, 1, 11, 53, 119, 165, 409, 785, 1649, 3587, 259, 10997, 3171, 31271, 104631}},
+{10865, 17, 43764, {1, 1, 5, 7, 5, 7, 49, 201, 373, 825, 1755, 3751, 8041, 8133, 21347, 12039, 3049}},
+{10866, 17, 43767, {1, 1, 1, 3, 7, 29, 103, 1, 473, 65, 761, 1611, 5121, 14345, 32535, 16679, 11321}},
+{10867, 17, 43768, {1, 3, 3, 11, 21, 57, 35, 63, 237, 415, 1943, 483, 5377, 14647, 23433, 45459, 32535}},
+{10868, 17, 43773, {1, 1, 1, 15, 21, 57, 7, 103, 493, 279, 665, 3699, 169, 7619, 3571, 11539, 31983}},
+{10869, 17, 43785, {1, 1, 1, 1, 9, 5, 81, 159, 105, 927, 379, 1133, 1805, 14341, 9833, 63151, 70877}},
+{10870, 17, 43788, {1, 1, 7, 5, 19, 5, 63, 127, 129, 43, 757, 2215, 3899, 643, 19731, 17345, 102611}},
+{10871, 17, 43810, {1, 3, 7, 7, 27, 21, 3, 69, 475, 283, 319, 833, 3683, 11275, 18191, 44027, 24901}},
+{10872, 17, 43819, {1, 1, 5, 5, 31, 25, 63, 33, 505, 765, 257, 1147, 779, 12505, 19971, 24695, 65935}},
+{10873, 17, 43834, {1, 1, 1, 15, 23, 33, 31, 107, 59, 639, 1307, 3211, 6171, 15665, 16775, 61671, 25569}},
+{10874, 17, 43853, {1, 3, 3, 9, 31, 3, 113, 199, 425, 895, 1051, 2125, 1525, 15199, 14845, 4213, 18449}},
+{10875, 17, 43866, {1, 3, 5, 3, 3, 11, 75, 121, 33, 265, 459, 3879, 909, 6533, 18451, 32421, 117427}},
+{10876, 17, 43871, {1, 1, 1, 9, 11, 9, 125, 175, 309, 847, 959, 2013, 1557, 9291, 2963, 43275, 9917}},
+{10877, 17, 43872, {1, 1, 5, 3, 15, 39, 67, 35, 373, 601, 463, 1263, 1615, 15059, 31011, 36059, 114493}},
+{10878, 17, 43881, {1, 1, 5, 15, 5, 43, 49, 239, 461, 171, 1863, 2249, 2923, 15897, 22941, 29925, 21429}},
+{10879, 17, 43889, {1, 1, 1, 15, 13, 31, 127, 205, 361, 149, 1641, 1443, 5959, 13183, 13861, 9533, 1011}},
+{10880, 17, 43902, {1, 1, 3, 13, 9, 49, 39, 67, 165, 695, 611, 2261, 3425, 6247, 23575, 51833, 106167}},
+{10881, 17, 43926, {1, 1, 7, 9, 29, 21, 75, 251, 87, 263, 2035, 1007, 3821, 12719, 8889, 47901, 39037}},
+{10882, 17, 43935, {1, 3, 1, 3, 15, 51, 79, 127, 201, 497, 1881, 3841, 1821, 14435, 4933, 6853, 104305}},
+{10883, 17, 43946, {1, 1, 5, 11, 23, 47, 33, 109, 481, 585, 333, 2525, 593, 1625, 5787, 23839, 30647}},
+{10884, 17, 43951, {1, 1, 5, 1, 17, 3, 7, 43, 113, 873, 1433, 3377, 45, 831, 17015, 21479, 7257}},
+{10885, 17, 43953, {1, 1, 1, 1, 13, 21, 59, 159, 279, 871, 53, 3647, 2599, 12417, 25807, 6867, 18251}},
+{10886, 17, 43971, {1, 1, 5, 9, 29, 61, 7, 81, 353, 761, 269, 4047, 3051, 8385, 2919, 18875, 15239}},
+{10887, 17, 44008, {1, 1, 7, 13, 31, 17, 71, 103, 107, 655, 1263, 849, 1809, 349, 3239, 45381, 117451}},
+{10888, 17, 44011, {1, 1, 5, 9, 27, 45, 83, 207, 117, 77, 437, 523, 851, 13595, 12381, 27271, 59951}},
+{10889, 17, 44026, {1, 3, 3, 15, 3, 33, 103, 217, 61, 443, 1077, 2887, 1751, 11111, 465, 37051, 89687}},
+{10890, 17, 44033, {1, 1, 1, 5, 15, 15, 13, 115, 275, 565, 1257, 1067, 6561, 8143, 2149, 53169, 123637}},
+{10891, 17, 44048, {1, 3, 3, 15, 27, 63, 25, 191, 143, 103, 1247, 1053, 2469, 9823, 4437, 18195, 91751}},
+{10892, 17, 44057, {1, 1, 7, 11, 1, 63, 31, 103, 249, 861, 983, 335, 35, 4291, 16307, 43669, 68065}},
+{10893, 17, 44058, {1, 3, 1, 15, 13, 29, 51, 145, 177, 851, 39, 3531, 4477, 4243, 3301, 64293, 15741}},
+{10894, 17, 44067, {1, 1, 7, 3, 29, 45, 5, 85, 185, 191, 1007, 3085, 2177, 14911, 18319, 265, 25435}},
+{10895, 17, 44081, {1, 1, 5, 9, 9, 57, 47, 143, 217, 947, 2021, 1835, 4773, 15145, 26519, 46407, 103667}},
+{10896, 17, 44087, {1, 3, 1, 11, 1, 7, 51, 75, 207, 757, 89, 1289, 39, 15641, 9477, 28503, 47113}},
+{10897, 17, 44099, {1, 3, 1, 11, 9, 19, 21, 197, 429, 121, 813, 3447, 6091, 3167, 5401, 27791, 26499}},
+{10898, 17, 44105, {1, 1, 7, 15, 1, 15, 85, 247, 3, 111, 433, 3103, 5049, 7929, 22645, 53247, 53417}},
+{10899, 17, 44106, {1, 1, 7, 7, 27, 19, 125, 101, 269, 7, 777, 1289, 1429, 11561, 18043, 3601, 125857}},
+{10900, 17, 44114, {1, 1, 1, 13, 11, 9, 127, 231, 239, 435, 1291, 4025, 1049, 15549, 7577, 51147, 38121}},
+{10901, 17, 44116, {1, 1, 7, 3, 9, 55, 57, 137, 387, 565, 873, 1417, 5993, 4849, 1731, 51653, 105697}},
+{10902, 17, 44130, {1, 1, 7, 9, 7, 47, 115, 119, 325, 881, 1687, 1009, 7007, 12541, 6737, 28471, 7369}},
+{10903, 17, 44139, {1, 3, 1, 1, 11, 47, 25, 163, 399, 977, 1777, 727, 5575, 1311, 23843, 2199, 93229}},
+{10904, 17, 44141, {1, 1, 7, 5, 13, 19, 53, 123, 439, 585, 1977, 3387, 5305, 1463, 14307, 9519, 537}},
+{10905, 17, 44153, {1, 1, 7, 15, 1, 53, 13, 213, 323, 699, 1585, 3499, 2441, 3055, 31263, 63923, 9779}},
+{10906, 17, 44159, {1, 1, 5, 5, 21, 43, 123, 43, 475, 521, 1301, 3185, 5627, 7443, 1195, 39485, 113125}},
+{10907, 17, 44160, {1, 1, 5, 7, 9, 3, 39, 5, 237, 719, 1743, 1153, 6401, 14701, 5503, 38491, 24123}},
+{10908, 17, 44170, {1, 3, 5, 9, 17, 33, 117, 23, 409, 63, 1829, 2587, 3489, 3209, 4775, 40069, 4721}},
+{10909, 17, 44172, {1, 3, 3, 5, 21, 63, 95, 231, 25, 167, 1181, 813, 4591, 5227, 21999, 19633, 37547}},
+{10910, 17, 44187, {1, 1, 7, 11, 13, 9, 13, 147, 239, 951, 1247, 1199, 7907, 12493, 25371, 1917, 107499}},
+{10911, 17, 44190, {1, 1, 5, 15, 3, 49, 31, 103, 189, 561, 1763, 3941, 3525, 3165, 7789, 57729, 92635}},
+{10912, 17, 44193, {1, 1, 1, 5, 3, 61, 107, 163, 465, 631, 1519, 169, 4469, 8153, 11039, 247, 37657}},
+{10913, 17, 44199, {1, 3, 1, 5, 9, 37, 51, 195, 465, 975, 169, 1077, 995, 2669, 7663, 28997, 25779}},
+{10914, 17, 44213, {1, 1, 7, 13, 7, 37, 3, 117, 147, 335, 629, 4077, 5855, 2893, 5629, 55075, 83359}},
+{10915, 17, 44218, {1, 1, 5, 9, 9, 25, 53, 63, 315, 287, 1833, 1397, 2395, 5719, 6719, 18003, 101073}},
+{10916, 17, 44223, {1, 1, 7, 1, 13, 19, 13, 81, 497, 399, 413, 2411, 3915, 14037, 19735, 4587, 69655}},
+{10917, 17, 44235, {1, 3, 1, 7, 5, 61, 101, 209, 299, 729, 1359, 4013, 2057, 8439, 8113, 57417, 8951}},
+{10918, 17, 44243, {1, 3, 5, 7, 29, 21, 67, 73, 107, 359, 1655, 3729, 4403, 10467, 28103, 10261, 74651}},
+{10919, 17, 44262, {1, 1, 1, 9, 3, 39, 25, 91, 287, 497, 1743, 339, 4739, 1709, 16351, 45385, 64693}},
+{10920, 17, 44283, {1, 3, 1, 1, 7, 13, 41, 93, 49, 285, 997, 891, 4353, 4249, 11269, 36935, 71249}},
+{10921, 17, 44291, {1, 3, 3, 13, 13, 23, 97, 231, 101, 93, 1183, 201, 6795, 16287, 30707, 20845, 105873}},
+{10922, 17, 44293, {1, 1, 1, 9, 7, 57, 123, 167, 451, 245, 1887, 1839, 2967, 2387, 15075, 11877, 629}},
+{10923, 17, 44308, {1, 3, 3, 1, 13, 13, 83, 41, 219, 313, 1743, 1265, 4435, 11731, 17625, 64235, 24865}},
+{10924, 17, 44327, {1, 3, 1, 9, 13, 17, 109, 235, 387, 581, 887, 1071, 603, 10955, 5001, 8419, 20997}},
+{10925, 17, 44341, {1, 3, 1, 5, 31, 55, 1, 219, 27, 623, 1425, 1309, 5409, 9633, 3231, 15029, 22989}},
+{10926, 17, 44346, {1, 3, 3, 13, 25, 47, 23, 223, 283, 189, 1665, 3743, 387, 1807, 16919, 8511, 15933}},
+{10927, 17, 44348, {1, 1, 1, 1, 13, 11, 81, 59, 423, 1007, 317, 2761, 2617, 9715, 24853, 63585, 77083}},
+{10928, 17, 44354, {1, 3, 1, 3, 3, 11, 103, 123, 401, 467, 1159, 2725, 3275, 15513, 2281, 21617, 87211}},
+{10929, 17, 44366, {1, 1, 5, 7, 23, 17, 25, 83, 11, 901, 809, 3233, 3929, 8685, 7609, 50949, 104841}},
+{10930, 17, 44368, {1, 3, 7, 1, 15, 33, 37, 245, 275, 453, 729, 721, 1589, 5417, 29839, 57315, 67227}},
+{10931, 17, 44373, {1, 3, 7, 3, 21, 17, 51, 213, 225, 471, 1201, 931, 1229, 9503, 5507, 4057, 7737}},
+{10932, 17, 44384, {1, 3, 1, 11, 29, 55, 19, 193, 9, 151, 597, 1377, 827, 8549, 1293, 10963, 86183}},
+{10933, 17, 44390, {1, 3, 3, 15, 17, 23, 89, 47, 195, 333, 2001, 1001, 6715, 9797, 21631, 5723, 88847}},
+{10934, 17, 44393, {1, 3, 5, 9, 21, 33, 111, 101, 503, 513, 785, 1947, 1139, 7921, 13189, 34831, 80963}},
+{10935, 17, 44394, {1, 3, 3, 13, 9, 61, 35, 39, 451, 485, 661, 1993, 4705, 9477, 32541, 16553, 33167}},
+{10936, 17, 44399, {1, 3, 3, 9, 29, 37, 115, 87, 367, 325, 539, 1975, 6769, 1453, 31099, 3335, 16939}},
+{10937, 17, 44401, {1, 1, 1, 7, 15, 21, 113, 203, 97, 847, 625, 847, 1819, 1109, 14503, 25319, 100259}},
+{10938, 17, 44408, {1, 1, 5, 11, 9, 13, 65, 21, 429, 865, 513, 2183, 3785, 11817, 6283, 23041, 7969}},
+{10939, 17, 44411, {1, 1, 5, 13, 1, 41, 109, 43, 91, 211, 1477, 3543, 5217, 3133, 12503, 15523, 12917}},
+{10940, 17, 44417, {1, 3, 7, 9, 23, 53, 109, 89, 229, 939, 1211, 2771, 541, 15915, 5411, 47273, 54453}},
+{10941, 17, 44420, {1, 1, 1, 3, 3, 45, 31, 63, 99, 347, 17, 523, 441, 12325, 15673, 1887, 15289}},
+{10942, 17, 44424, {1, 1, 1, 7, 29, 61, 35, 115, 345, 1011, 5, 595, 465, 3897, 28147, 791, 98757}},
+{10943, 17, 44444, {1, 1, 5, 9, 27, 1, 21, 155, 467, 469, 1565, 1439, 5809, 851, 32503, 3025, 97231}},
+{10944, 17, 44451, {1, 1, 1, 9, 3, 17, 15, 73, 487, 1011, 63, 2605, 6647, 9385, 4527, 21993, 19783}},
+{10945, 17, 44453, {1, 1, 3, 9, 17, 17, 65, 75, 175, 897, 1317, 2593, 1495, 15835, 12025, 57457, 29577}},
+{10946, 17, 44466, {1, 1, 1, 13, 7, 1, 13, 145, 491, 427, 375, 1235, 3045, 2991, 26607, 30581, 43377}},
+{10947, 17, 44472, {1, 1, 1, 1, 31, 1, 75, 235, 345, 75, 1505, 1401, 6921, 6207, 13729, 21545, 34703}},
+{10948, 17, 44475, {1, 3, 7, 9, 31, 35, 53, 233, 85, 385, 2045, 1401, 5365, 827, 13093, 41097, 97381}},
+{10949, 17, 44486, {1, 3, 7, 15, 5, 9, 19, 125, 49, 29, 1553, 675, 3947, 4775, 8161, 12321, 55191}},
+{10950, 17, 44500, {1, 3, 3, 7, 17, 17, 27, 237, 87, 927, 275, 1965, 4993, 1429, 31613, 38403, 119319}},
+{10951, 17, 44510, {1, 3, 7, 13, 25, 61, 87, 133, 37, 725, 697, 371, 7607, 13861, 8015, 63997, 25745}},
+{10952, 17, 44531, {1, 1, 5, 3, 1, 29, 115, 53, 355, 533, 1711, 3863, 6983, 4849, 15787, 38933, 100299}},
+{10953, 17, 44534, {1, 1, 3, 5, 7, 11, 95, 21, 363, 1005, 425, 3497, 841, 8251, 11933, 47783, 122699}},
+{10954, 17, 44553, {1, 1, 1, 11, 15, 41, 23, 159, 191, 433, 919, 3151, 5311, 2061, 11277, 4947, 10549}},
+{10955, 17, 44559, {1, 1, 5, 1, 29, 57, 23, 239, 179, 821, 1825, 1745, 4357, 4041, 27517, 8557, 86969}},
+{10956, 17, 44564, {1, 3, 1, 13, 3, 45, 91, 21, 221, 203, 683, 1787, 375, 4101, 13555, 43269, 8063}},
+{10957, 17, 44580, {1, 1, 5, 15, 17, 61, 95, 95, 285, 597, 1967, 4061, 389, 3813, 6061, 50261, 56035}},
+{10958, 17, 44583, {1, 1, 7, 9, 9, 35, 103, 255, 239, 77, 145, 4089, 757, 16151, 29963, 1229, 31895}},
+{10959, 17, 44589, {1, 1, 7, 7, 29, 51, 63, 105, 55, 609, 665, 2101, 4605, 7085, 18543, 64221, 102503}},
+{10960, 17, 44592, {1, 1, 3, 9, 23, 49, 83, 71, 191, 917, 39, 1013, 4689, 2407, 1733, 31113, 31263}},
+{10961, 17, 44609, {1, 1, 5, 11, 31, 51, 17, 223, 325, 829, 541, 3561, 5319, 15397, 12479, 57199, 38611}},
+{10962, 17, 44627, {1, 3, 1, 3, 19, 57, 19, 191, 427, 905, 1111, 695, 5447, 4061, 25543, 45699, 113283}},
+{10963, 17, 44633, {1, 1, 3, 7, 5, 11, 59, 249, 375, 889, 563, 2757, 5857, 3595, 23183, 1785, 105017}},
+{10964, 17, 44643, {1, 3, 5, 7, 11, 55, 95, 167, 27, 823, 903, 2403, 1137, 3209, 6313, 61871, 129865}},
+{10965, 17, 44646, {1, 1, 3, 11, 25, 3, 89, 171, 209, 409, 1357, 3825, 5261, 10805, 13493, 3303, 129987}},
+{10966, 17, 44650, {1, 1, 5, 1, 23, 21, 3, 207, 471, 375, 1785, 2555, 1613, 16235, 1585, 48221, 10197}},
+{10967, 17, 44674, {1, 1, 1, 15, 13, 33, 89, 185, 331, 239, 1401, 789, 2687, 15193, 20911, 18935, 28751}},
+{10968, 17, 44676, {1, 1, 1, 13, 27, 19, 111, 139, 385, 531, 1069, 2343, 7405, 10305, 7049, 48215, 77591}},
+{10969, 17, 44680, {1, 3, 7, 13, 23, 9, 113, 107, 441, 265, 1617, 63, 7629, 5505, 7059, 47307, 82527}},
+{10970, 17, 44683, {1, 3, 1, 9, 27, 27, 35, 233, 189, 517, 1285, 1843, 1569, 14921, 6617, 44337, 46917}},
+{10971, 17, 44703, {1, 1, 3, 15, 7, 15, 9, 255, 109, 629, 437, 3601, 6591, 10873, 1765, 46459, 110991}},
+{10972, 17, 44704, {1, 1, 5, 15, 17, 13, 115, 97, 401, 979, 1139, 2607, 6537, 5369, 17775, 7657, 57175}},
+{10973, 17, 44716, {1, 1, 5, 15, 27, 15, 43, 95, 271, 945, 1205, 3505, 7403, 13203, 27259, 24821, 62921}},
+{10974, 17, 44733, {1, 1, 7, 15, 9, 13, 53, 177, 93, 169, 1933, 1101, 4847, 15477, 22107, 13009, 93675}},
+{10975, 17, 44748, {1, 3, 1, 3, 13, 57, 121, 229, 353, 449, 769, 1207, 557, 5673, 13129, 29383, 35925}},
+{10976, 17, 44759, {1, 3, 3, 1, 31, 33, 5, 87, 461, 873, 795, 2715, 1421, 14723, 17917, 20681, 46103}},
+{10977, 17, 44763, {1, 1, 7, 3, 29, 5, 49, 215, 341, 25, 1473, 177, 1443, 14181, 26723, 49143, 73461}},
+{10978, 17, 44781, {1, 3, 1, 5, 17, 53, 5, 27, 1, 325, 1335, 2941, 7195, 8179, 26971, 63469, 49357}},
+{10979, 17, 44782, {1, 3, 5, 3, 3, 5, 29, 241, 119, 415, 1371, 3201, 2815, 15567, 32521, 18635, 2101}},
+{10980, 17, 44789, {1, 3, 1, 3, 7, 13, 127, 157, 271, 403, 187, 3663, 4073, 12613, 1305, 31061, 48361}},
+{10981, 17, 44794, {1, 1, 3, 5, 1, 39, 41, 201, 113, 923, 621, 497, 3823, 12543, 27273, 58509, 21613}},
+{10982, 17, 44799, {1, 1, 1, 11, 5, 51, 93, 39, 345, 175, 679, 617, 3445, 8591, 4017, 5147, 88847}},
+{10983, 17, 44804, {1, 1, 7, 7, 7, 9, 63, 7, 89, 711, 487, 69, 447, 3355, 31929, 34719, 93629}},
+{10984, 17, 44813, {1, 3, 1, 3, 27, 11, 51, 11, 471, 889, 1935, 2185, 1277, 3127, 8853, 17839, 40279}},
+{10985, 17, 44822, {1, 3, 3, 15, 25, 35, 71, 213, 121, 935, 1601, 537, 5753, 8743, 15243, 59545, 60399}},
+{10986, 17, 44838, {1, 1, 3, 15, 31, 41, 51, 205, 123, 215, 305, 3777, 4103, 7275, 21603, 56853, 54575}},
+{10987, 17, 44842, {1, 3, 7, 9, 17, 19, 37, 59, 193, 303, 1079, 3627, 6503, 14649, 10283, 64469, 83677}},
+{10988, 17, 44849, {1, 3, 1, 5, 11, 3, 115, 139, 213, 307, 721, 1611, 5093, 11817, 32503, 38559, 38449}},
+{10989, 17, 44856, {1, 3, 1, 1, 17, 31, 41, 113, 135, 733, 723, 2021, 7397, 15917, 15741, 7295, 69885}},
+{10990, 17, 44870, {1, 1, 7, 11, 31, 3, 125, 77, 89, 793, 1441, 1527, 457, 9457, 13581, 62979, 125279}},
+{10991, 17, 44887, {1, 1, 1, 5, 9, 17, 19, 115, 43, 395, 183, 2091, 7021, 7555, 20165, 45165, 58925}},
+{10992, 17, 44904, {1, 1, 1, 15, 23, 37, 97, 45, 357, 201, 425, 3605, 5305, 10079, 16397, 40635, 15355}},
+{10993, 17, 44915, {1, 1, 3, 7, 3, 43, 65, 89, 51, 801, 917, 2835, 5675, 2347, 16587, 19701, 68655}},
+{10994, 17, 44917, {1, 3, 7, 13, 11, 59, 93, 155, 53, 435, 165, 3231, 429, 12757, 27033, 14081, 12625}},
+{10995, 17, 44921, {1, 3, 1, 15, 15, 33, 121, 157, 271, 295, 901, 1689, 709, 13395, 17773, 14397, 37743}},
+{10996, 17, 44928, {1, 1, 1, 3, 7, 17, 125, 113, 223, 603, 425, 3213, 2781, 2921, 15181, 18649, 93493}},
+{10997, 17, 44933, {1, 3, 3, 5, 1, 25, 3, 101, 151, 435, 1339, 1207, 7687, 12579, 29331, 4653, 67353}},
+{10998, 17, 44934, {1, 1, 7, 1, 29, 53, 101, 61, 31, 633, 1899, 3919, 1879, 3143, 25319, 45809, 77425}},
+{10999, 17, 44937, {1, 1, 5, 1, 17, 31, 79, 247, 77, 197, 1693, 313, 2183, 14343, 4511, 26009, 44943}},
+{11000, 17, 44940, {1, 1, 7, 5, 31, 29, 119, 251, 345, 867, 271, 165, 6425, 8343, 11251, 28125, 34849}},
+{11001, 17, 44951, {1, 3, 1, 1, 13, 35, 9, 103, 365, 675, 1653, 4095, 3123, 8245, 4679, 18951, 88543}},
+{11002, 17, 44961, {1, 1, 1, 1, 23, 29, 109, 157, 253, 751, 145, 2077, 4555, 7523, 30099, 37709, 97369}},
+{11003, 17, 44962, {1, 3, 3, 11, 5, 1, 51, 11, 203, 963, 1961, 351, 6697, 8137, 25933, 53505, 28531}},
+{11004, 17, 44971, {1, 1, 7, 15, 27, 1, 31, 159, 447, 501, 1873, 2845, 875, 1671, 5049, 38901, 32559}},
+{11005, 17, 44982, {1, 1, 3, 3, 29, 19, 33, 83, 71, 703, 1861, 3683, 3589, 15339, 21075, 40399, 47853}},
+{11006, 17, 44985, {1, 3, 3, 7, 5, 41, 61, 181, 319, 77, 777, 2537, 3887, 2687, 29227, 55217, 55813}},
+{11007, 17, 44996, {1, 3, 3, 1, 25, 41, 23, 31, 31, 775, 693, 891, 861, 7613, 9557, 43275, 36311}},
+{11008, 17, 44999, {1, 1, 7, 13, 11, 5, 99, 217, 81, 441, 765, 3981, 2921, 9657, 6905, 30657, 18395}},
+{11009, 17, 45014, {1, 3, 1, 11, 21, 55, 25, 209, 13, 1021, 1373, 785, 3243, 1541, 12033, 17309, 116517}},
+{11010, 17, 45029, {1, 1, 1, 7, 3, 3, 61, 113, 453, 405, 1321, 2327, 3529, 12779, 11707, 55795, 105137}},
+{11011, 17, 45033, {1, 3, 1, 13, 15, 53, 17, 189, 197, 459, 1999, 935, 7835, 9563, 31231, 47757, 80807}},
+{11012, 17, 45036, {1, 3, 5, 13, 11, 15, 91, 115, 427, 723, 1815, 3527, 5917, 4931, 28297, 12257, 5587}},
+{11013, 17, 45047, {1, 1, 5, 9, 31, 5, 77, 201, 373, 143, 581, 1199, 6807, 6059, 3133, 57069, 4895}},
+{11014, 17, 45065, {1, 3, 1, 9, 17, 13, 127, 61, 235, 991, 279, 1545, 2875, 8453, 13329, 39763, 66897}},
+{11015, 17, 45076, {1, 1, 3, 15, 31, 51, 3, 95, 221, 685, 635, 1747, 177, 9781, 4859, 45345, 37607}},
+{11016, 17, 45085, {1, 3, 5, 1, 3, 55, 63, 51, 63, 707, 883, 2985, 3699, 3881, 8159, 41775, 41411}},
+{11017, 17, 45086, {1, 1, 1, 11, 3, 41, 69, 181, 413, 33, 525, 1883, 6063, 13787, 1259, 19497, 8119}},
+{11018, 17, 45090, {1, 1, 5, 15, 13, 27, 65, 63, 117, 831, 855, 369, 1005, 9069, 16179, 32027, 6527}},
+{11019, 17, 45107, {1, 3, 7, 5, 25, 51, 63, 163, 101, 299, 1637, 641, 2077, 9195, 11181, 59783, 109481}},
+{11020, 17, 45119, {1, 3, 5, 13, 27, 13, 117, 253, 257, 919, 709, 411, 5525, 1247, 19951, 51423, 34605}},
+{11021, 17, 45121, {1, 1, 5, 5, 1, 37, 49, 125, 87, 291, 339, 3235, 1477, 9787, 19637, 22855, 103013}},
+{11022, 17, 45128, {1, 3, 7, 15, 25, 17, 77, 23, 303, 739, 1921, 1425, 6451, 9521, 6311, 38551, 123683}},
+{11023, 17, 45139, {1, 3, 1, 7, 13, 19, 33, 73, 347, 85, 1693, 3671, 713, 1191, 3285, 6815, 61833}},
+{11024, 17, 45151, {1, 1, 3, 3, 13, 53, 81, 177, 305, 967, 551, 1177, 2315, 4899, 5733, 11147, 128895}},
+{11025, 17, 45157, {1, 3, 5, 3, 17, 17, 93, 173, 417, 645, 1631, 1817, 6127, 3545, 6127, 22331, 59751}},
+{11026, 17, 45162, {1, 1, 5, 11, 7, 53, 61, 117, 133, 141, 283, 3351, 6745, 599, 7221, 50583, 9067}},
+{11027, 17, 45164, {1, 3, 7, 3, 29, 45, 71, 177, 97, 897, 589, 3319, 1821, 7207, 25715, 13043, 96695}},
+{11028, 17, 45176, {1, 3, 3, 1, 13, 39, 19, 49, 419, 905, 1063, 4023, 145, 1479, 22197, 43883, 45503}},
+{11029, 17, 45179, {1, 3, 3, 15, 9, 45, 45, 201, 61, 193, 375, 2439, 2339, 15981, 5197, 6285, 109389}},
+{11030, 17, 45198, {1, 1, 7, 13, 29, 51, 93, 223, 509, 1003, 1861, 3715, 2511, 13843, 25297, 1241, 12157}},
+{11031, 17, 45209, {1, 3, 5, 15, 19, 17, 95, 243, 251, 485, 1837, 1829, 2081, 15117, 29635, 63861, 100397}},
+{11032, 17, 45231, {1, 1, 7, 3, 1, 37, 31, 53, 483, 849, 1197, 3069, 2539, 2529, 12749, 64331, 45757}},
+{11033, 17, 45234, {1, 3, 7, 7, 1, 19, 25, 243, 335, 99, 1507, 2155, 6085, 2253, 32439, 16141, 6781}},
+{11034, 17, 45236, {1, 3, 7, 15, 9, 13, 35, 63, 371, 373, 1891, 3913, 4577, 15553, 13079, 60251, 71193}},
+{11035, 17, 45251, {1, 3, 1, 7, 15, 13, 105, 113, 409, 289, 57, 1095, 791, 15675, 21471, 42851, 29203}},
+{11036, 17, 45260, {1, 1, 1, 13, 1, 57, 65, 7, 153, 929, 1325, 229, 3841, 8967, 29889, 49427, 46853}},
+{11037, 17, 45268, {1, 1, 3, 11, 29, 1, 79, 111, 479, 931, 1619, 505, 4503, 4055, 18849, 3979, 46091}},
+{11038, 17, 45277, {1, 1, 7, 3, 31, 27, 127, 63, 219, 43, 883, 1265, 5733, 9051, 17059, 61625, 93843}},
+{11039, 17, 45299, {1, 1, 7, 7, 23, 21, 35, 211, 243, 399, 1225, 1415, 5923, 2143, 25303, 36171, 126349}},
+{11040, 17, 45301, {1, 3, 1, 3, 3, 13, 77, 205, 271, 393, 769, 2101, 4045, 6159, 3409, 44065, 102799}},
+{11041, 17, 45338, {1, 1, 5, 15, 19, 1, 67, 199, 367, 51, 495, 2051, 3195, 15239, 10525, 45319, 50489}},
+{11042, 17, 45344, {1, 1, 1, 9, 3, 19, 105, 147, 417, 399, 373, 1025, 2727, 13779, 30079, 22723, 41551}},
+{11043, 17, 45349, {1, 1, 3, 1, 9, 15, 105, 95, 267, 995, 275, 2627, 3883, 10785, 8075, 40591, 54647}},
+{11044, 17, 45364, {1, 1, 1, 5, 31, 37, 117, 185, 55, 273, 525, 445, 4221, 2081, 16017, 19859, 3297}},
+{11045, 17, 45367, {1, 3, 5, 13, 21, 13, 105, 231, 461, 831, 393, 3253, 1213, 2625, 3393, 36715, 104889}},
+{11046, 17, 45371, {1, 3, 5, 15, 1, 17, 103, 129, 257, 1003, 285, 2927, 3967, 53, 5197, 39665, 50751}},
+{11047, 17, 45373, {1, 1, 1, 13, 1, 61, 47, 255, 137, 849, 213, 301, 681, 9547, 28209, 32941, 72109}},
+{11048, 17, 45376, {1, 1, 7, 11, 31, 15, 81, 117, 327, 289, 1861, 861, 6189, 13425, 18279, 7635, 116969}},
+{11049, 17, 45381, {1, 3, 3, 3, 9, 11, 13, 181, 183, 621, 329, 2751, 3989, 6345, 20319, 52267, 79695}},
+{11050, 17, 45400, {1, 1, 7, 13, 9, 1, 5, 125, 1, 735, 691, 13, 3961, 2273, 18299, 65221, 20115}},
+{11051, 17, 45406, {1, 3, 7, 1, 7, 3, 87, 115, 241, 101, 523, 3019, 7571, 7721, 27409, 49751, 97859}},
+{11052, 17, 45416, {1, 3, 5, 11, 9, 5, 33, 59, 299, 191, 307, 2115, 2823, 10187, 10437, 34137, 93217}},
+{11053, 17, 45422, {1, 3, 3, 7, 21, 31, 5, 113, 77, 215, 177, 2029, 7241, 4465, 31489, 10165, 19035}},
+{11054, 17, 45427, {1, 3, 5, 1, 27, 63, 11, 161, 435, 941, 1593, 1765, 1519, 9111, 12787, 35961, 105263}},
+{11055, 17, 45440, {1, 1, 1, 9, 11, 57, 41, 229, 387, 617, 1991, 221, 2857, 4337, 13851, 23185, 111031}},
+{11056, 17, 45458, {1, 1, 3, 5, 21, 27, 125, 83, 129, 919, 65, 403, 2981, 10111, 17017, 24829, 12205}},
+{11057, 17, 45467, {1, 3, 3, 9, 25, 19, 109, 47, 199, 395, 1909, 2819, 5361, 6629, 7067, 18755, 17921}},
+{11058, 17, 45474, {1, 1, 3, 15, 25, 37, 111, 129, 409, 291, 1403, 2785, 3819, 10245, 24647, 64799, 64951}},
+{11059, 17, 45476, {1, 3, 5, 11, 1, 7, 105, 223, 427, 661, 1817, 1023, 145, 927, 6507, 13235, 30147}},
+{11060, 17, 45488, {1, 3, 5, 13, 7, 15, 65, 125, 121, 113, 923, 2729, 1397, 14247, 8487, 54907, 41921}},
+{11061, 17, 45494, {1, 1, 5, 1, 13, 15, 47, 111, 453, 375, 1705, 1539, 4103, 601, 7499, 33287, 123689}},
+{11062, 17, 45497, {1, 1, 5, 3, 21, 11, 87, 115, 483, 617, 1593, 2817, 6519, 16203, 361, 34415, 100829}},
+{11063, 17, 45500, {1, 3, 7, 15, 23, 25, 41, 193, 473, 517, 1195, 3627, 1089, 13391, 3653, 25637, 5643}},
+{11064, 17, 45512, {1, 3, 1, 1, 13, 57, 29, 175, 35, 107, 5, 3641, 1843, 1507, 7591, 39967, 66859}},
+{11065, 17, 45515, {1, 1, 3, 13, 1, 39, 31, 11, 493, 123, 523, 843, 133, 7971, 14131, 51927, 97943}},
+{11066, 17, 45523, {1, 1, 3, 7, 23, 45, 5, 195, 195, 683, 497, 1215, 5855, 14569, 20441, 29541, 30431}},
+{11067, 17, 45542, {1, 3, 1, 11, 31, 39, 127, 187, 187, 17, 817, 907, 4657, 8223, 13305, 36489, 28909}},
+{11068, 17, 45553, {1, 1, 7, 13, 9, 1, 59, 27, 449, 887, 39, 191, 803, 2339, 5213, 2611, 93175}},
+{11069, 17, 45559, {1, 1, 1, 1, 29, 17, 105, 13, 175, 401, 1145, 297, 6873, 889, 10301, 48993, 49959}},
+{11070, 17, 45589, {1, 3, 5, 5, 1, 57, 81, 81, 403, 719, 1887, 2597, 1069, 5219, 29767, 46905, 8025}},
+{11071, 17, 45594, {1, 1, 5, 11, 13, 37, 41, 3, 487, 895, 343, 1729, 3777, 8681, 24737, 34179, 15015}},
+{11072, 17, 45596, {1, 1, 1, 15, 9, 43, 67, 203, 71, 399, 23, 529, 2375, 15373, 21013, 17389, 93809}},
+{11073, 17, 45603, {1, 3, 7, 7, 9, 23, 81, 27, 39, 529, 631, 199, 3555, 953, 4249, 39297, 88107}},
+{11074, 17, 45605, {1, 3, 1, 3, 31, 45, 33, 63, 319, 245, 1567, 3359, 2051, 11523, 30177, 20293, 13245}},
+{11075, 17, 45610, {1, 1, 1, 13, 9, 61, 39, 127, 453, 1019, 2037, 3541, 6983, 10717, 19587, 8981, 99637}},
+{11076, 17, 45630, {1, 3, 5, 9, 15, 7, 55, 79, 93, 303, 1423, 499, 5499, 795, 14553, 16945, 46161}},
+{11077, 17, 45638, {1, 1, 7, 5, 21, 21, 27, 201, 147, 461, 363, 267, 2963, 3409, 17835, 40777, 71879}},
+{11078, 17, 45641, {1, 1, 7, 9, 23, 63, 115, 243, 103, 119, 2023, 2223, 7989, 1365, 26181, 4631, 88001}},
+{11079, 17, 45647, {1, 3, 5, 5, 27, 57, 101, 199, 461, 853, 449, 2733, 2225, 8609, 19461, 15265, 54079}},
+{11080, 17, 45655, {1, 3, 3, 15, 29, 59, 115, 105, 145, 391, 303, 901, 5481, 1491, 30441, 22331, 3841}},
+{11081, 17, 45659, {1, 1, 3, 1, 27, 45, 11, 167, 73, 181, 253, 1947, 1731, 15269, 16971, 12299, 46439}},
+{11082, 17, 45665, {1, 1, 7, 13, 11, 21, 83, 157, 75, 705, 1709, 487, 5029, 9879, 27589, 21601, 50575}},
+{11083, 17, 45689, {1, 1, 5, 3, 27, 37, 101, 163, 115, 903, 1137, 3807, 2899, 3407, 27935, 14203, 31009}},
+{11084, 17, 45695, {1, 3, 5, 9, 31, 33, 63, 69, 159, 737, 1973, 3661, 6159, 1781, 9239, 12989, 82947}},
+{11085, 17, 45702, {1, 3, 5, 9, 15, 33, 41, 89, 183, 933, 1305, 1013, 7245, 16225, 10891, 6641, 61699}},
+{11086, 17, 45708, {1, 1, 5, 3, 25, 41, 91, 183, 45, 553, 1817, 3305, 5169, 9051, 24917, 52431, 52505}},
+{11087, 17, 45726, {1, 3, 3, 9, 3, 9, 127, 59, 117, 1001, 1255, 3435, 3797, 8507, 28593, 24119, 75569}},
+{11088, 17, 45729, {1, 3, 1, 5, 17, 43, 45, 21, 461, 339, 1127, 2213, 7351, 14585, 2001, 32619, 33825}},
+{11089, 17, 45739, {1, 1, 5, 11, 3, 37, 61, 83, 101, 707, 861, 3037, 1867, 7747, 16313, 58745, 14387}},
+{11090, 17, 45744, {1, 1, 5, 3, 27, 25, 99, 17, 293, 867, 1655, 2301, 2007, 7379, 14487, 18233, 3625}},
+{11091, 17, 45747, {1, 1, 7, 13, 25, 29, 21, 133, 207, 119, 423, 1561, 6587, 1221, 27295, 48141, 125473}},
+{11092, 17, 45762, {1, 3, 3, 1, 19, 45, 39, 85, 127, 249, 157, 1307, 7343, 6309, 31073, 16909, 93223}},
+{11093, 17, 45764, {1, 1, 5, 13, 19, 43, 111, 109, 385, 847, 1071, 1009, 2783, 8471, 5719, 50459, 110507}},
+{11094, 17, 45773, {1, 1, 5, 15, 1, 45, 39, 197, 209, 839, 485, 3943, 5939, 11835, 18297, 61217, 85015}},
+{11095, 17, 45774, {1, 1, 1, 15, 5, 61, 1, 195, 415, 355, 1593, 151, 8143, 3527, 11633, 44337, 99749}},
+{11096, 17, 45781, {1, 1, 5, 13, 11, 11, 117, 109, 91, 663, 1351, 2361, 1409, 9317, 31133, 17577, 123919}},
+{11097, 17, 45785, {1, 3, 3, 9, 3, 5, 115, 173, 459, 937, 1581, 781, 1069, 573, 24025, 30721, 116837}},
+{11098, 17, 45792, {1, 1, 1, 5, 21, 37, 47, 51, 21, 169, 119, 3285, 2543, 14023, 29179, 13407, 130491}},
+{11099, 17, 45801, {1, 3, 5, 5, 25, 27, 41, 147, 485, 79, 737, 699, 6763, 16347, 9265, 52129, 41431}},
+{11100, 17, 45802, {1, 1, 1, 3, 5, 33, 115, 187, 311, 717, 1897, 2215, 2639, 4167, 1429, 26359, 52703}},
+{11101, 17, 45812, {1, 3, 5, 5, 13, 51, 103, 5, 47, 683, 319, 2969, 7701, 11031, 9257, 16725, 80825}},
+{11102, 17, 45816, {1, 3, 1, 11, 31, 47, 17, 205, 11, 411, 523, 4053, 6743, 3095, 3219, 63163, 84547}},
+{11103, 17, 45829, {1, 1, 7, 15, 9, 55, 109, 225, 273, 595, 1697, 2059, 21, 11319, 23277, 60613, 4539}},
+{11104, 17, 45833, {1, 1, 5, 13, 3, 59, 49, 239, 509, 847, 975, 3361, 5443, 1941, 29277, 56379, 38997}},
+{11105, 17, 45847, {1, 3, 1, 7, 15, 5, 49, 19, 235, 437, 1309, 827, 4123, 5839, 22409, 42535, 98041}},
+{11106, 17, 45851, {1, 1, 5, 15, 9, 33, 57, 153, 165, 215, 177, 1271, 1861, 15489, 4183, 43701, 114169}},
+{11107, 17, 45854, {1, 3, 5, 5, 13, 3, 119, 89, 17, 421, 1205, 835, 4917, 6113, 28991, 26839, 114871}},
+{11108, 17, 45863, {1, 3, 5, 1, 7, 49, 49, 159, 205, 601, 1939, 4063, 5975, 11747, 10329, 21103, 16779}},
+{11109, 17, 45870, {1, 1, 5, 15, 13, 33, 89, 21, 113, 639, 891, 989, 829, 1435, 11475, 42711, 67049}},
+{11110, 17, 45901, {1, 1, 5, 5, 9, 59, 57, 105, 385, 733, 1175, 329, 6809, 7175, 27267, 9941, 14203}},
+{11111, 17, 45910, {1, 3, 1, 13, 21, 53, 83, 139, 287, 659, 1991, 3225, 4153, 4325, 16803, 27719, 86263}},
+{11112, 17, 45920, {1, 3, 5, 13, 27, 21, 111, 105, 29, 573, 405, 2781, 1737, 12057, 25263, 16903, 45389}},
+{11113, 17, 45932, {1, 1, 5, 5, 23, 23, 61, 27, 335, 279, 937, 2509, 4751, 2993, 28069, 30187, 3595}},
+{11114, 17, 45938, {1, 1, 5, 7, 29, 37, 117, 71, 221, 875, 1987, 2329, 5953, 15901, 29813, 17419, 4745}},
+{11115, 17, 45940, {1, 3, 3, 13, 21, 51, 77, 85, 53, 573, 1129, 3415, 2283, 5221, 29991, 46091, 65843}},
+{11116, 17, 45943, {1, 1, 1, 3, 17, 51, 89, 211, 463, 743, 1189, 4083, 1437, 5219, 8373, 15559, 18557}},
+{11117, 17, 45949, {1, 1, 5, 3, 29, 27, 1, 207, 285, 739, 505, 1587, 6565, 14195, 4995, 39453, 61023}},
+{11118, 17, 45953, {1, 3, 3, 15, 7, 57, 19, 45, 39, 881, 1207, 2829, 3265, 2637, 7843, 62889, 53289}},
+{11119, 17, 45963, {1, 1, 1, 11, 31, 21, 73, 245, 87, 457, 1523, 2397, 1157, 8237, 26195, 23149, 106523}},
+{11120, 17, 45971, {1, 3, 5, 13, 3, 55, 3, 179, 107, 85, 639, 2711, 6359, 1599, 2325, 59573, 111941}},
+{11121, 17, 45989, {1, 1, 1, 13, 17, 61, 45, 253, 45, 149, 1251, 139, 7113, 6503, 27675, 37301, 21713}},
+{11122, 17, 45999, {1, 3, 5, 9, 31, 31, 67, 79, 355, 225, 1187, 761, 4927, 5481, 9139, 13399, 35653}},
+{11123, 17, 46001, {1, 1, 5, 3, 7, 3, 95, 119, 161, 529, 1443, 1099, 609, 3919, 10935, 37779, 92993}},
+{11124, 17, 46008, {1, 1, 7, 9, 13, 21, 13, 7, 165, 173, 989, 2315, 2305, 13115, 6933, 56233, 112113}},
+{11125, 17, 46022, {1, 1, 7, 3, 9, 11, 25, 45, 493, 119, 839, 3907, 2273, 14113, 29453, 55181, 667}},
+{11126, 17, 46026, {1, 3, 5, 15, 25, 33, 15, 23, 245, 517, 1883, 2865, 1483, 7043, 32615, 12261, 49297}},
+{11127, 17, 46034, {1, 3, 7, 9, 31, 35, 89, 103, 245, 441, 1709, 1321, 3743, 3767, 23885, 43587, 18017}},
+{11128, 17, 46040, {1, 3, 7, 5, 23, 43, 103, 7, 47, 187, 1257, 3517, 591, 16263, 12047, 16699, 81633}},
+{11129, 17, 46043, {1, 1, 5, 15, 5, 5, 79, 11, 327, 719, 37, 2913, 6107, 3463, 25901, 6125, 100647}},
+{11130, 17, 46045, {1, 1, 1, 11, 13, 29, 83, 251, 41, 125, 1137, 2627, 4643, 29, 24631, 51435, 98643}},
+{11131, 17, 46061, {1, 1, 7, 3, 27, 3, 69, 245, 365, 599, 1575, 2969, 3441, 12327, 18951, 56167, 13861}},
+{11132, 17, 46062, {1, 3, 3, 11, 5, 47, 103, 233, 351, 821, 867, 3199, 6133, 4627, 22663, 14775, 83205}},
+{11133, 17, 46076, {1, 3, 1, 13, 9, 35, 27, 251, 281, 727, 873, 3713, 5247, 8407, 17739, 57207, 126201}},
+{11134, 17, 46084, {1, 1, 7, 11, 11, 35, 53, 115, 93, 663, 625, 565, 3137, 7869, 18845, 49155, 83395}},
+{11135, 17, 46094, {1, 3, 3, 5, 21, 13, 99, 151, 319, 9, 1363, 1489, 2545, 1963, 1271, 24815, 43355}},
+{11136, 17, 46102, {1, 3, 5, 9, 15, 51, 109, 85, 67, 131, 1947, 181, 7331, 15163, 2255, 33449, 78107}},
+{11137, 17, 46118, {1, 1, 7, 9, 27, 61, 1, 163, 309, 739, 453, 1837, 2093, 16021, 8485, 19755, 61335}},
+{11138, 17, 46149, {1, 3, 5, 7, 3, 13, 11, 195, 91, 143, 203, 2785, 7319, 7153, 19265, 11597, 63365}},
+{11139, 17, 46154, {1, 3, 1, 9, 29, 1, 123, 247, 253, 757, 191, 1699, 6625, 1785, 29199, 29409, 32577}},
+{11140, 17, 46167, {1, 3, 5, 11, 23, 21, 31, 35, 383, 587, 65, 1695, 4045, 12305, 12437, 5919, 51465}},
+{11141, 17, 46173, {1, 1, 5, 9, 11, 13, 123, 171, 499, 877, 1785, 561, 2547, 1797, 27679, 56305, 93223}},
+{11142, 17, 46177, {1, 3, 1, 3, 25, 41, 63, 243, 219, 533, 753, 1903, 3257, 11901, 4777, 28629, 111141}},
+{11143, 17, 46192, {1, 3, 3, 5, 31, 47, 1, 253, 283, 995, 1787, 1767, 6599, 11913, 21515, 39259, 117727}},
+{11144, 17, 46197, {1, 1, 7, 7, 31, 35, 39, 255, 463, 763, 881, 2583, 347, 14343, 22761, 45821, 119155}},
+{11145, 17, 46201, {1, 3, 5, 9, 5, 37, 43, 55, 423, 525, 157, 3593, 2831, 11539, 15675, 11695, 100609}},
+{11146, 17, 46214, {1, 3, 3, 5, 11, 9, 27, 57, 409, 201, 1029, 2461, 5823, 2593, 32031, 4203, 55327}},
+{11147, 17, 46217, {1, 1, 7, 15, 15, 25, 69, 83, 309, 687, 1607, 819, 7381, 3697, 5289, 33153, 48157}},
+{11148, 17, 46223, {1, 1, 5, 5, 31, 57, 41, 195, 201, 59, 2045, 2213, 6695, 3839, 17331, 4981, 26803}},
+{11149, 17, 46226, {1, 1, 1, 11, 7, 53, 109, 169, 387, 181, 391, 19, 4159, 299, 29059, 27781, 110193}},
+{11150, 17, 46228, {1, 3, 7, 15, 5, 31, 95, 155, 47, 601, 1463, 1799, 8027, 3003, 18067, 24589, 108171}},
+{11151, 17, 46237, {1, 3, 3, 7, 11, 61, 21, 121, 117, 149, 1037, 3829, 3581, 15223, 17051, 34539, 37263}},
+{11152, 17, 46241, {1, 3, 3, 3, 15, 15, 115, 91, 443, 309, 1073, 2053, 789, 7415, 26253, 62657, 49729}},
+{11153, 17, 46251, {1, 3, 5, 5, 31, 19, 23, 221, 19, 105, 1105, 2025, 4209, 7531, 30191, 40777, 46069}},
+{11154, 17, 46259, {1, 1, 1, 7, 29, 45, 29, 215, 33, 21, 1147, 1725, 3711, 2759, 12731, 57031, 42361}},
+{11155, 17, 46262, {1, 1, 5, 15, 13, 59, 111, 169, 317, 841, 1387, 3513, 3137, 8265, 31789, 26963, 126219}},
+{11156, 17, 46266, {1, 1, 3, 1, 23, 21, 13, 113, 71, 177, 345, 3149, 1461, 12945, 3971, 59759, 61839}},
+{11157, 17, 46294, {1, 3, 5, 13, 9, 19, 103, 17, 95, 617, 1477, 263, 4259, 12899, 24351, 47431, 11583}},
+{11158, 17, 46300, {1, 3, 5, 11, 13, 11, 7, 61, 13, 63, 1687, 631, 381, 5899, 10225, 19657, 37087}},
+{11159, 17, 46303, {1, 3, 5, 3, 7, 53, 11, 193, 103, 427, 1097, 299, 2905, 5019, 31803, 28931, 47495}},
+{11160, 17, 46309, {1, 3, 3, 11, 21, 31, 125, 249, 233, 941, 975, 2287, 7837, 6481, 11021, 52829, 63023}},
+{11161, 17, 46321, {1, 1, 7, 15, 13, 17, 33, 85, 503, 11, 689, 637, 4063, 12223, 1835, 17161, 35213}},
+{11162, 17, 46331, {1, 3, 5, 13, 25, 37, 21, 135, 377, 623, 895, 2547, 2757, 9055, 17337, 65457, 24737}},
+{11163, 17, 46339, {1, 1, 1, 15, 25, 11, 17, 95, 65, 271, 1791, 841, 1441, 11177, 10087, 63963, 71481}},
+{11164, 17, 46342, {1, 3, 5, 11, 31, 1, 37, 107, 109, 459, 1185, 2155, 271, 11775, 23243, 53517, 103669}},
+{11165, 17, 46354, {1, 3, 1, 9, 1, 49, 23, 141, 169, 475, 469, 2271, 1379, 13139, 1765, 63625, 14143}},
+{11166, 17, 46370, {1, 1, 1, 9, 13, 7, 23, 219, 381, 105, 743, 1745, 2999, 661, 7245, 39653, 99913}},
+{11167, 17, 46372, {1, 3, 1, 11, 7, 35, 9, 215, 41, 537, 1569, 1803, 3613, 667, 15089, 39485, 85457}},
+{11168, 17, 46379, {1, 1, 1, 15, 9, 49, 75, 235, 119, 97, 273, 209, 2707, 2071, 21943, 60249, 57737}},
+{11169, 17, 46382, {1, 1, 5, 15, 31, 19, 33, 49, 279, 461, 143, 3001, 3539, 1015, 27597, 35389, 36483}},
+{11170, 17, 46393, {1, 3, 7, 1, 23, 51, 123, 247, 485, 343, 1365, 593, 6465, 12305, 29375, 30641, 43165}},
+{11171, 17, 46402, {1, 1, 7, 13, 15, 11, 125, 51, 235, 717, 1427, 3203, 1711, 12607, 8805, 5773, 27467}},
+{11172, 17, 46407, {1, 3, 5, 5, 5, 13, 51, 181, 133, 977, 469, 2513, 6819, 12985, 8917, 47317, 47557}},
+{11173, 17, 46416, {1, 1, 5, 7, 3, 7, 71, 17, 345, 921, 1621, 2801, 5825, 827, 17711, 33701, 113503}},
+{11174, 17, 46425, {1, 3, 1, 1, 17, 7, 99, 83, 73, 349, 567, 713, 5639, 4969, 11549, 35317, 28995}},
+{11175, 17, 46437, {1, 3, 3, 9, 11, 53, 123, 227, 391, 775, 1013, 3971, 6183, 14453, 6403, 57063, 7123}},
+{11176, 17, 46444, {1, 1, 1, 15, 27, 13, 51, 147, 151, 535, 2017, 3019, 6791, 3931, 12529, 30855, 33243}},
+{11177, 17, 46447, {1, 3, 1, 1, 27, 43, 103, 85, 135, 207, 621, 251, 3723, 10893, 29533, 31023, 11043}},
+{11178, 17, 46449, {1, 3, 7, 5, 7, 39, 55, 133, 141, 63, 237, 3299, 861, 15123, 11859, 13271, 32893}},
+{11179, 17, 46456, {1, 3, 7, 9, 23, 17, 73, 197, 113, 725, 137, 2835, 2877, 6913, 22949, 56071, 67597}},
+{11180, 17, 46462, {1, 3, 7, 7, 15, 3, 15, 253, 51, 443, 15, 2549, 7833, 4713, 29211, 22339, 6009}},
+{11181, 17, 46472, {1, 3, 5, 15, 19, 55, 35, 59, 281, 995, 1113, 605, 2345, 10009, 14629, 11757, 53241}},
+{11182, 17, 46475, {1, 1, 1, 11, 3, 31, 11, 193, 437, 1003, 873, 909, 6513, 2045, 10495, 17387, 25461}},
+{11183, 17, 46486, {1, 1, 3, 5, 21, 61, 47, 177, 379, 773, 951, 419, 4455, 10171, 17403, 19045, 87327}},
+{11184, 17, 46490, {1, 3, 3, 11, 31, 41, 69, 229, 207, 299, 1743, 1417, 4785, 1327, 26967, 43077, 124319}},
+{11185, 17, 46495, {1, 3, 7, 15, 19, 37, 65, 219, 33, 691, 205, 1577, 4775, 8427, 28315, 53559, 100789}},
+{11186, 17, 46501, {1, 3, 5, 11, 5, 39, 55, 147, 139, 871, 1563, 3661, 4791, 423, 30007, 1589, 20255}},
+{11187, 17, 46514, {1, 1, 3, 15, 5, 61, 89, 83, 261, 519, 1367, 2019, 3799, 8237, 9011, 28995, 1587}},
+{11188, 17, 46526, {1, 1, 7, 15, 17, 55, 49, 41, 353, 507, 1565, 3365, 7947, 10391, 1323, 61591, 126305}},
+{11189, 17, 46528, {1, 3, 3, 5, 13, 19, 49, 195, 355, 915, 1867, 3513, 1239, 4809, 16925, 22947, 92641}},
+{11190, 17, 46538, {1, 1, 7, 3, 31, 51, 45, 241, 55, 195, 1233, 3675, 8077, 4981, 17679, 53025, 77927}},
+{11191, 17, 46551, {1, 3, 5, 11, 23, 5, 93, 49, 277, 979, 1093, 3031, 6131, 8085, 19121, 45305, 6705}},
+{11192, 17, 46552, {1, 1, 7, 13, 29, 25, 83, 105, 469, 729, 1495, 2607, 2681, 13959, 101, 1913, 2671}},
+{11193, 17, 46564, {1, 1, 1, 15, 7, 19, 63, 105, 253, 807, 1889, 2433, 1591, 16267, 11997, 18939, 113313}},
+{11194, 17, 46579, {1, 1, 5, 3, 13, 23, 29, 227, 337, 115, 783, 475, 6949, 9485, 1797, 18713, 123981}},
+{11195, 17, 46586, {1, 3, 3, 9, 21, 43, 115, 225, 147, 753, 919, 1157, 2901, 14813, 30035, 52553, 30225}},
+{11196, 17, 46602, {1, 1, 3, 15, 23, 19, 65, 83, 457, 965, 579, 2133, 291, 2033, 7533, 52995, 92243}},
+{11197, 17, 46615, {1, 1, 1, 5, 11, 3, 23, 245, 255, 373, 1119, 3695, 6449, 13497, 817, 32215, 103599}},
+{11198, 17, 46616, {1, 3, 1, 5, 5, 19, 57, 53, 145, 441, 1253, 929, 1299, 11491, 29457, 11245, 55717}},
+{11199, 17, 46621, {1, 1, 7, 13, 9, 13, 73, 85, 127, 29, 629, 409, 2487, 13079, 3767, 27985, 110139}},
+{11200, 17, 46635, {1, 1, 5, 11, 29, 39, 27, 9, 487, 623, 757, 2879, 669, 12521, 23471, 47933, 41721}},
+{11201, 17, 46643, {1, 1, 7, 15, 21, 9, 59, 39, 325, 787, 1347, 3039, 7333, 9793, 19337, 41285, 48339}},
+{11202, 17, 46645, {1, 3, 3, 11, 11, 21, 127, 45, 173, 981, 483, 3707, 3651, 10545, 16865, 62105, 114847}},
+{11203, 17, 46649, {1, 3, 5, 11, 11, 49, 89, 179, 393, 455, 1775, 1903, 8173, 12589, 17281, 57687, 56153}},
+{11204, 17, 46667, {1, 3, 1, 3, 7, 7, 59, 223, 255, 559, 375, 2427, 6921, 3709, 24767, 16213, 60373}},
+{11205, 17, 46670, {1, 1, 7, 15, 3, 31, 37, 129, 307, 1023, 1807, 519, 6779, 8997, 15383, 4391, 61161}},
+{11206, 17, 46672, {1, 1, 1, 1, 9, 25, 53, 27, 263, 459, 1015, 417, 4195, 10931, 20507, 19299, 82371}},
+{11207, 17, 46678, {1, 1, 3, 1, 7, 7, 49, 221, 47, 7, 1747, 1533, 3089, 14369, 32609, 64157, 78139}},
+{11208, 17, 46681, {1, 3, 7, 5, 5, 13, 101, 231, 227, 19, 1359, 3017, 1405, 3715, 3541, 933, 1117}},
+{11209, 17, 46684, {1, 1, 7, 15, 5, 63, 59, 253, 269, 781, 1639, 2247, 1041, 667, 7055, 21221, 84447}},
+{11210, 17, 46687, {1, 1, 7, 3, 9, 13, 115, 247, 215, 173, 457, 1125, 5613, 13171, 17847, 26323, 68461}},
+{11211, 17, 46705, {1, 3, 5, 9, 15, 19, 95, 213, 425, 567, 1625, 1659, 6961, 10569, 20985, 17255, 89919}},
+{11212, 17, 46708, {1, 3, 5, 5, 3, 11, 107, 123, 265, 743, 499, 1885, 6079, 7791, 24953, 30925, 112517}},
+{11213, 17, 46721, {1, 1, 5, 15, 29, 27, 103, 195, 119, 873, 1751, 2091, 6623, 7583, 20413, 52367, 16831}},
+{11214, 17, 46724, {1, 1, 7, 7, 21, 15, 111, 197, 89, 107, 1317, 2107, 1951, 189, 31663, 63007, 21405}},
+{11215, 17, 46739, {1, 3, 1, 13, 27, 15, 93, 251, 209, 93, 1419, 3785, 1899, 3143, 3205, 16309, 121455}},
+{11216, 17, 46757, {1, 1, 7, 7, 17, 43, 23, 251, 425, 591, 1101, 1317, 6369, 14209, 10257, 33813, 59557}},
+{11217, 17, 46762, {1, 1, 7, 3, 5, 41, 65, 59, 327, 369, 1867, 1045, 4953, 3155, 25679, 8545, 22753}},
+{11218, 17, 46764, {1, 1, 5, 3, 5, 25, 117, 97, 369, 721, 1459, 2501, 4899, 5299, 3859, 2509, 127723}},
+{11219, 17, 46776, {1, 3, 3, 1, 27, 13, 65, 185, 255, 543, 2013, 2027, 1131, 4067, 1327, 44639, 53275}},
+{11220, 17, 46784, {1, 1, 7, 3, 11, 15, 53, 67, 265, 477, 971, 3201, 51, 10599, 23691, 10493, 130347}},
+{11221, 17, 46790, {1, 3, 7, 7, 19, 35, 47, 61, 375, 547, 1867, 1147, 7775, 12757, 15101, 63243, 89817}},
+{11222, 17, 46796, {1, 1, 5, 3, 5, 21, 57, 59, 145, 901, 835, 1093, 6487, 12727, 20585, 6309, 67803}},
+{11223, 17, 46799, {1, 1, 1, 11, 13, 31, 75, 171, 189, 741, 1923, 3503, 4887, 15423, 2499, 39125, 4125}},
+{11224, 17, 46802, {1, 3, 7, 1, 29, 31, 103, 207, 383, 631, 1017, 1693, 6251, 9429, 17491, 60959, 68131}},
+{11225, 17, 46813, {1, 1, 1, 1, 19, 45, 127, 105, 451, 287, 657, 3521, 2021, 15793, 8993, 34837, 65441}},
+{11226, 17, 46814, {1, 1, 7, 9, 17, 15, 13, 189, 255, 753, 1779, 3047, 1179, 13201, 28249, 5909, 35775}},
+{11227, 17, 46824, {1, 3, 3, 3, 5, 11, 125, 207, 375, 375, 135, 2939, 1141, 12211, 727, 16137, 52253}},
+{11228, 17, 46832, {1, 3, 7, 9, 29, 3, 83, 221, 281, 299, 667, 3435, 589, 8039, 7991, 24289, 13079}},
+{11229, 17, 46841, {1, 3, 5, 13, 9, 11, 11, 99, 337, 155, 233, 2497, 3385, 15045, 5783, 40915, 19201}},
+{11230, 17, 46856, {1, 1, 7, 5, 5, 23, 25, 223, 341, 149, 505, 893, 4933, 14899, 29899, 207, 125359}},
+{11231, 17, 46862, {1, 3, 3, 15, 3, 5, 43, 165, 21, 993, 1091, 3849, 6005, 1905, 7199, 13495, 76915}},
+{11232, 17, 46864, {1, 1, 1, 15, 1, 19, 55, 217, 179, 431, 935, 2219, 8135, 15071, 17437, 43271, 115963}},
+{11233, 17, 46869, {1, 1, 7, 15, 7, 61, 45, 157, 441, 107, 1955, 2877, 5285, 12157, 21783, 60999, 102949}},
+{11234, 17, 46874, {1, 1, 1, 3, 9, 29, 41, 75, 81, 73, 1859, 2923, 3009, 10847, 30257, 44527, 21933}},
+{11235, 17, 46895, {1, 1, 3, 3, 29, 29, 103, 3, 401, 197, 237, 3727, 7919, 13669, 26869, 64987, 1581}},
+{11236, 17, 46900, {1, 1, 5, 13, 13, 47, 99, 209, 45, 745, 1239, 663, 5535, 3777, 10479, 15327, 1441}},
+{11237, 17, 46903, {1, 3, 1, 9, 1, 49, 31, 231, 15, 1001, 773, 2113, 1957, 15271, 25355, 7461, 33089}},
+{11238, 17, 46927, {1, 1, 1, 5, 13, 31, 123, 123, 439, 373, 1817, 2555, 7905, 3151, 2311, 62083, 45535}},
+{11239, 17, 46946, {1, 3, 1, 3, 31, 37, 83, 117, 177, 483, 1285, 1725, 821, 2115, 12893, 54301, 36491}},
+{11240, 17, 46948, {1, 3, 3, 3, 9, 13, 87, 7, 467, 287, 1173, 2739, 3293, 883, 9123, 30799, 110221}},
+{11241, 17, 46955, {1, 3, 1, 15, 3, 5, 119, 235, 393, 789, 67, 1193, 1613, 8607, 17371, 16723, 103747}},
+{11242, 17, 46965, {1, 3, 1, 13, 13, 47, 61, 51, 447, 1, 1221, 1619, 3785, 5851, 10557, 51181, 6535}},
+{11243, 17, 46972, {1, 3, 5, 11, 1, 1, 85, 119, 195, 177, 805, 1161, 4851, 15765, 24405, 41757, 110081}},
+{11244, 17, 46976, {1, 1, 7, 1, 17, 21, 89, 13, 59, 169, 1847, 2401, 6243, 2841, 6153, 16039, 47407}},
+{11245, 17, 46985, {1, 1, 3, 15, 21, 53, 103, 187, 143, 897, 65, 3677, 213, 4027, 22365, 53703, 82951}},
+{11246, 17, 46999, {1, 3, 5, 5, 25, 5, 39, 49, 55, 71, 825, 2123, 2345, 5683, 18027, 29897, 53023}},
+{11247, 17, 47003, {1, 1, 3, 5, 13, 55, 27, 77, 327, 429, 1219, 2103, 7095, 13461, 31027, 15383, 98485}},
+{11248, 17, 47006, {1, 3, 1, 3, 9, 41, 33, 241, 487, 229, 1743, 951, 2319, 15595, 3213, 5959, 90721}},
+{11249, 17, 47016, {1, 1, 7, 1, 29, 45, 45, 163, 123, 227, 305, 1577, 5465, 5639, 14507, 65155, 71425}},
+{11250, 17, 47030, {1, 1, 5, 1, 3, 5, 33, 15, 203, 141, 465, 3509, 6653, 14193, 7073, 22525, 22951}},
+{11251, 17, 47034, {1, 1, 7, 3, 27, 39, 3, 27, 75, 821, 1329, 3655, 4715, 7659, 31957, 60219, 79123}},
+{11252, 17, 47053, {1, 3, 5, 13, 29, 45, 111, 19, 207, 387, 87, 3731, 7427, 13351, 9497, 34285, 25623}},
+{11253, 17, 47056, {1, 1, 3, 11, 19, 39, 79, 219, 97, 125, 947, 1397, 3645, 1021, 9403, 38695, 54985}},
+{11254, 17, 47059, {1, 3, 3, 7, 3, 3, 45, 93, 65, 289, 1843, 1599, 897, 16159, 23485, 24699, 43123}},
+{11255, 17, 47072, {1, 3, 5, 3, 15, 1, 81, 219, 299, 429, 1115, 1763, 6381, 869, 7817, 143, 23583}},
+{11256, 17, 47077, {1, 1, 3, 5, 1, 35, 95, 147, 425, 1011, 1039, 2875, 3089, 3685, 9995, 13279, 60923}},
+{11257, 17, 47099, {1, 1, 5, 7, 5, 59, 105, 241, 151, 307, 735, 1541, 3115, 12331, 19535, 56965, 127015}},
+{11258, 17, 47105, {1, 3, 5, 7, 5, 33, 83, 179, 65, 397, 787, 3425, 1305, 10713, 6973, 9007, 112081}},
+{11259, 17, 47108, {1, 3, 7, 13, 29, 11, 37, 31, 271, 501, 897, 1383, 5333, 13627, 22091, 38421, 94575}},
+{11260, 17, 47112, {1, 3, 1, 1, 9, 61, 87, 115, 13, 79, 391, 2385, 7157, 3369, 26035, 883, 34705}},
+{11261, 17, 47115, {1, 1, 3, 9, 21, 29, 15, 165, 53, 719, 1509, 1295, 4437, 8229, 17961, 55297, 62635}},
+{11262, 17, 47117, {1, 1, 7, 5, 27, 21, 23, 141, 341, 423, 9, 2693, 5555, 5797, 13179, 1107, 33489}},
+{11263, 17, 47120, {1, 3, 1, 13, 27, 33, 101, 29, 379, 119, 1259, 861, 6843, 69, 3253, 61977, 80061}},
+{11264, 17, 47129, {1, 1, 3, 11, 1, 37, 35, 43, 105, 655, 221, 873, 91, 9095, 8999, 44033, 24807}},
+{11265, 17, 47135, {1, 3, 3, 7, 29, 15, 23, 227, 399, 305, 2007, 747, 2717, 14767, 6515, 40617, 7873}},
+{11266, 17, 47151, {1, 1, 5, 15, 21, 43, 39, 7, 261, 421, 505, 1433, 1155, 5621, 2337, 54027, 54039}},
+{11267, 17, 47154, {1, 1, 1, 9, 15, 39, 49, 185, 503, 895, 1321, 375, 4245, 4929, 9637, 50561, 65733}},
+{11268, 17, 47156, {1, 1, 5, 15, 7, 29, 27, 155, 423, 631, 1295, 973, 4227, 2637, 8479, 29527, 70505}},
+{11269, 17, 47166, {1, 3, 1, 3, 31, 33, 13, 67, 195, 335, 1577, 3715, 559, 7251, 7215, 46443, 125359}},
+{11270, 17, 47171, {1, 3, 1, 9, 17, 37, 15, 119, 79, 851, 911, 3549, 99, 9221, 29897, 63489, 34937}},
+{11271, 17, 47195, {1, 3, 5, 9, 31, 11, 125, 1, 265, 467, 835, 2997, 2401, 9615, 19397, 50947, 29963}},
+{11272, 17, 47204, {1, 1, 5, 3, 11, 21, 63, 15, 471, 763, 1963, 2815, 4419, 11457, 7151, 27009, 124847}},
+{11273, 17, 47213, {1, 1, 7, 3, 19, 9, 97, 59, 375, 109, 519, 305, 2787, 3001, 14199, 27415, 35403}},
+{11274, 17, 47222, {1, 1, 1, 3, 13, 47, 3, 93, 307, 979, 419, 2817, 3741, 305, 1813, 34549, 116959}},
+{11275, 17, 47228, {1, 3, 5, 13, 13, 19, 35, 231, 493, 973, 895, 1583, 1843, 9057, 27705, 32333, 130347}},
+{11276, 17, 47241, {1, 1, 1, 13, 31, 35, 81, 11, 363, 229, 1865, 2849, 7805, 877, 3965, 45337, 33239}},
+{11277, 17, 47242, {1, 3, 5, 1, 15, 3, 125, 93, 191, 405, 1359, 929, 3085, 7907, 7777, 7815, 103717}},
+{11278, 17, 47247, {1, 1, 3, 7, 15, 33, 61, 235, 283, 141, 817, 1611, 665, 13113, 4197, 45831, 44505}},
+{11279, 17, 47249, {1, 1, 5, 5, 25, 3, 63, 159, 223, 531, 1147, 2323, 2715, 10319, 32203, 23943, 95407}},
+{11280, 17, 47250, {1, 3, 3, 3, 3, 33, 37, 99, 317, 811, 515, 339, 6527, 11149, 13071, 7177, 1549}},
+{11281, 17, 47261, {1, 3, 1, 11, 31, 53, 9, 17, 297, 259, 1235, 53, 7065, 1721, 8191, 21663, 13393}},
+{11282, 17, 47266, {1, 3, 7, 7, 29, 41, 127, 179, 113, 191, 783, 861, 6509, 5199, 3369, 18327, 30647}},
+{11283, 17, 47268, {1, 3, 1, 7, 23, 41, 49, 155, 135, 513, 1127, 1443, 8081, 2553, 10389, 35459, 122513}},
+{11284, 17, 47278, {1, 1, 7, 3, 25, 3, 117, 125, 283, 165, 1409, 1587, 7915, 12899, 12239, 48161, 7385}},
+{11285, 17, 47286, {1, 3, 7, 3, 23, 19, 29, 47, 7, 723, 455, 4013, 2739, 12303, 29883, 51485, 1571}},
+{11286, 17, 47312, {1, 1, 1, 11, 1, 31, 111, 199, 207, 209, 1163, 2865, 5335, 2647, 9125, 6737, 99881}},
+{11287, 17, 47315, {1, 3, 1, 11, 31, 19, 59, 153, 65, 133, 1399, 2709, 905, 3257, 13603, 46299, 15139}},
+{11288, 17, 47321, {1, 3, 1, 1, 23, 19, 123, 115, 59, 667, 333, 2461, 1843, 16049, 12353, 17297, 107779}},
+{11289, 17, 47322, {1, 1, 5, 1, 5, 29, 91, 241, 97, 557, 1701, 2441, 2995, 13103, 9261, 55833, 843}},
+{11290, 17, 47324, {1, 1, 1, 5, 15, 19, 23, 189, 69, 91, 427, 3149, 5199, 13073, 32273, 41503, 98749}},
+{11291, 17, 47331, {1, 3, 5, 11, 19, 3, 71, 125, 307, 241, 861, 681, 5657, 5189, 7555, 2037, 72921}},
+{11292, 17, 47338, {1, 1, 5, 5, 29, 61, 93, 61, 421, 685, 883, 1559, 5875, 10561, 11761, 18879, 31577}},
+{11293, 17, 47366, {1, 3, 7, 15, 9, 29, 41, 241, 365, 941, 1087, 3743, 6781, 9467, 1409, 20605, 2361}},
+{11294, 17, 47372, {1, 1, 5, 13, 25, 29, 7, 21, 41, 621, 1751, 3731, 2667, 8613, 20999, 3851, 39677}},
+{11295, 17, 47375, {1, 1, 7, 5, 17, 23, 25, 43, 401, 749, 975, 91, 5277, 2711, 19847, 41419, 11851}},
+{11296, 17, 47378, {1, 1, 7, 9, 13, 37, 113, 89, 435, 749, 1553, 1853, 7709, 5449, 25055, 45207, 2269}},
+{11297, 17, 47387, {1, 3, 1, 11, 3, 59, 79, 13, 35, 901, 165, 907, 7579, 12739, 24679, 54163, 61059}},
+{11298, 17, 47389, {1, 1, 5, 7, 9, 47, 101, 61, 25, 461, 1737, 2825, 4439, 5363, 28433, 61979, 120401}},
+{11299, 17, 47390, {1, 3, 3, 3, 1, 55, 103, 1, 449, 473, 375, 2609, 4933, 3411, 19663, 6067, 61129}},
+{11300, 17, 47396, {1, 1, 3, 9, 27, 29, 53, 151, 391, 507, 425, 3469, 6605, 5783, 31747, 37677, 116037}},
+{11301, 17, 47400, {1, 1, 1, 5, 5, 43, 61, 67, 319, 553, 1163, 3095, 4447, 7505, 15617, 26167, 11145}},
+{11302, 17, 47405, {1, 1, 5, 7, 3, 3, 9, 161, 155, 869, 337, 3693, 6847, 8449, 15077, 54769, 123335}},
+{11303, 17, 47408, {1, 3, 3, 7, 11, 19, 17, 71, 105, 649, 323, 3033, 1695, 15973, 6361, 3163, 17669}},
+{11304, 17, 47411, {1, 3, 7, 13, 13, 9, 3, 251, 149, 513, 637, 2211, 6397, 1741, 8547, 3165, 38241}},
+{11305, 17, 47431, {1, 1, 5, 5, 1, 57, 73, 35, 287, 347, 221, 3261, 7693, 5443, 6175, 18181, 23733}},
+{11306, 17, 47443, {1, 3, 7, 5, 5, 19, 1, 167, 5, 825, 815, 1369, 7657, 6169, 9583, 34761, 81003}},
+{11307, 17, 47459, {1, 3, 3, 5, 15, 17, 23, 157, 475, 297, 1495, 811, 8135, 11453, 9683, 55505, 84361}},
+{11308, 17, 47466, {1, 1, 1, 11, 1, 63, 59, 189, 205, 1023, 1065, 1095, 2293, 14629, 29399, 2925, 28327}},
+{11309, 17, 47479, {1, 3, 1, 3, 31, 33, 85, 183, 383, 731, 1223, 3353, 3703, 5655, 31265, 12249, 22127}},
+{11310, 17, 47480, {1, 3, 5, 7, 7, 29, 61, 3, 375, 95, 1815, 4065, 6287, 3797, 32397, 50581, 123371}},
+{11311, 17, 47495, {1, 3, 1, 9, 13, 37, 57, 139, 43, 561, 425, 3603, 1167, 10281, 31825, 32673, 106169}},
+{11312, 17, 47504, {1, 3, 5, 3, 15, 41, 29, 223, 79, 851, 1741, 2241, 5659, 9773, 18369, 37239, 14831}},
+{11313, 17, 47519, {1, 3, 1, 1, 7, 11, 83, 63, 51, 521, 1911, 475, 5207, 3219, 10257, 40461, 9087}},
+{11314, 17, 47520, {1, 3, 5, 7, 23, 17, 97, 195, 5, 451, 1971, 1881, 921, 8729, 3443, 64529, 67747}},
+{11315, 17, 47530, {1, 1, 3, 9, 21, 63, 45, 181, 429, 605, 169, 3493, 2381, 2887, 19515, 53151, 60147}},
+{11316, 17, 47537, {1, 3, 3, 7, 15, 11, 117, 161, 333, 139, 587, 2331, 3175, 12093, 12649, 52381, 107117}},
+{11317, 17, 47555, {1, 1, 5, 15, 23, 57, 19, 57, 507, 461, 799, 611, 1589, 10909, 7649, 17817, 24677}},
+{11318, 17, 47558, {1, 1, 3, 15, 1, 61, 9, 201, 401, 387, 527, 2855, 2339, 3813, 11825, 14273, 73745}},
+{11319, 17, 47567, {1, 3, 1, 5, 1, 37, 27, 105, 475, 335, 1169, 3233, 3225, 12861, 10133, 36673, 55025}},
+{11320, 17, 47569, {1, 1, 1, 9, 27, 53, 55, 197, 229, 5, 93, 1157, 7929, 9745, 5295, 15359, 75567}},
+{11321, 17, 47572, {1, 1, 7, 5, 11, 3, 109, 81, 457, 159, 1899, 557, 1067, 295, 2661, 1145, 8745}},
+{11322, 17, 47582, {1, 1, 1, 15, 31, 29, 77, 171, 411, 425, 1041, 2791, 2567, 5357, 21871, 27689, 103485}},
+{11323, 17, 47591, {1, 3, 5, 11, 19, 47, 23, 97, 405, 667, 2045, 2951, 2063, 7775, 20629, 34283, 26925}},
+{11324, 17, 47595, {1, 3, 5, 7, 5, 51, 125, 67, 165, 145, 733, 1649, 5787, 4333, 24355, 33397, 101001}},
+{11325, 17, 47598, {1, 3, 7, 11, 13, 7, 117, 147, 449, 201, 953, 553, 1839, 6903, 10417, 42751, 36823}},
+{11326, 17, 47609, {1, 1, 3, 5, 3, 21, 109, 35, 95, 953, 211, 2849, 5681, 16287, 16553, 30345, 69729}},
+{11327, 17, 47612, {1, 3, 7, 5, 25, 37, 21, 143, 317, 621, 1417, 283, 3801, 15375, 3799, 13345, 59727}},
+{11328, 17, 47616, {1, 3, 3, 9, 3, 37, 113, 127, 123, 979, 1225, 2585, 2055, 2571, 16727, 38863, 74347}},
+{11329, 17, 47625, {1, 3, 3, 3, 23, 13, 49, 111, 277, 143, 1171, 605, 91, 13693, 1971, 18209, 114203}},
+{11330, 17, 47640, {1, 1, 1, 9, 27, 33, 73, 9, 93, 343, 55, 3045, 2029, 3665, 28483, 6601, 72085}},
+{11331, 17, 47649, {1, 1, 1, 15, 17, 55, 87, 231, 103, 1005, 1451, 3617, 7477, 2045, 10683, 39053, 1289}},
+{11332, 17, 47655, {1, 3, 7, 7, 25, 55, 39, 89, 489, 609, 1969, 159, 7485, 10713, 28371, 14935, 95347}},
+{11333, 17, 47661, {1, 3, 3, 13, 25, 9, 83, 167, 25, 135, 2017, 3313, 1493, 7799, 22479, 49471, 20149}},
+{11334, 17, 47688, {1, 1, 1, 15, 25, 13, 63, 117, 97, 449, 1331, 229, 6027, 1023, 26705, 15283, 60385}},
+{11335, 17, 47711, {1, 1, 7, 5, 5, 37, 3, 79, 337, 861, 1549, 915, 7303, 1503, 19245, 60721, 45313}},
+{11336, 17, 47717, {1, 3, 7, 15, 19, 1, 11, 39, 505, 757, 1627, 2137, 3209, 7651, 31291, 45913, 26851}},
+{11337, 17, 47721, {1, 3, 1, 5, 25, 21, 85, 233, 171, 269, 367, 1651, 3961, 2487, 1977, 7027, 2725}},
+{11338, 17, 47724, {1, 1, 5, 15, 13, 23, 81, 145, 201, 323, 425, 2785, 1149, 12617, 11451, 23205, 117691}},
+{11339, 17, 47727, {1, 1, 7, 11, 29, 37, 69, 141, 15, 773, 1299, 2147, 8129, 12227, 27811, 58701, 103637}},
+{11340, 17, 47730, {1, 3, 5, 13, 3, 33, 29, 227, 261, 221, 823, 1399, 5107, 2423, 23809, 42175, 28207}},
+{11341, 17, 47739, {1, 3, 1, 15, 21, 1, 121, 255, 259, 441, 45, 1899, 2489, 4155, 18317, 52695, 607}},
+{11342, 17, 47745, {1, 3, 5, 9, 25, 43, 115, 111, 329, 997, 753, 1513, 6949, 3197, 28275, 48855, 25089}},
+{11343, 17, 47752, {1, 3, 3, 3, 25, 9, 21, 213, 111, 173, 913, 1465, 4437, 9725, 1455, 53517, 81843}},
+{11344, 17, 47758, {1, 3, 5, 5, 5, 25, 3, 159, 19, 203, 181, 3447, 6395, 2145, 11289, 16797, 59567}},
+{11345, 17, 47765, {1, 3, 3, 1, 29, 25, 43, 115, 257, 833, 379, 941, 4389, 5795, 12593, 2471, 127149}},
+{11346, 17, 47770, {1, 3, 1, 9, 3, 15, 81, 141, 155, 515, 1677, 2569, 1105, 15653, 24143, 3439, 17317}},
+{11347, 17, 47782, {1, 3, 1, 13, 27, 13, 103, 87, 27, 971, 671, 629, 4943, 13897, 4003, 21507, 40193}},
+{11348, 17, 47786, {1, 3, 5, 9, 1, 49, 11, 15, 511, 837, 1953, 1585, 1867, 9095, 543, 16993, 115187}},
+{11349, 17, 47791, {1, 1, 5, 11, 21, 49, 37, 61, 9, 629, 1025, 1635, 4047, 15491, 28481, 43235, 53165}},
+{11350, 17, 47793, {1, 1, 5, 7, 15, 57, 121, 119, 405, 29, 655, 3085, 7131, 14761, 2273, 47113, 8603}},
+{11351, 17, 47796, {1, 1, 3, 3, 11, 45, 51, 107, 367, 235, 675, 3777, 6081, 16319, 19499, 36893, 25579}},
+{11352, 17, 47814, {1, 1, 7, 11, 1, 13, 43, 159, 415, 423, 1223, 2201, 1089, 10189, 12457, 26691, 3603}},
+{11353, 17, 47823, {1, 1, 3, 3, 3, 37, 109, 67, 487, 785, 637, 3931, 929, 14153, 25283, 483, 14371}},
+{11354, 17, 47826, {1, 1, 7, 9, 31, 59, 9, 245, 479, 113, 1419, 3265, 8131, 11123, 32519, 12141, 82059}},
+{11355, 17, 47837, {1, 1, 1, 7, 25, 25, 31, 13, 81, 217, 997, 1161, 1049, 5487, 8487, 57807, 126115}},
+{11356, 17, 47854, {1, 1, 3, 15, 1, 23, 63, 39, 503, 933, 1915, 687, 547, 779, 7689, 38607, 125229}},
+{11357, 17, 47856, {1, 1, 3, 3, 31, 49, 51, 87, 99, 327, 783, 3487, 7307, 2759, 22781, 56343, 126805}},
+{11358, 17, 47871, {1, 3, 3, 11, 27, 43, 99, 197, 275, 19, 775, 329, 3815, 14277, 3363, 26375, 75427}},
+{11359, 17, 47879, {1, 1, 5, 15, 15, 19, 65, 109, 103, 411, 1591, 2569, 1981, 4773, 7861, 6303, 127421}},
+{11360, 17, 47880, {1, 3, 1, 13, 1, 53, 107, 151, 317, 201, 1053, 2701, 5039, 2179, 10085, 31727, 85579}},
+{11361, 17, 47885, {1, 3, 1, 9, 5, 55, 71, 143, 187, 29, 1363, 2403, 2675, 2187, 12123, 32825, 56461}},
+{11362, 17, 47886, {1, 1, 7, 11, 5, 57, 91, 95, 85, 597, 925, 11, 1915, 9159, 9997, 29565, 111655}},
+{11363, 17, 47903, {1, 1, 5, 9, 25, 57, 79, 189, 205, 687, 471, 601, 5343, 9031, 7853, 6079, 40567}},
+{11364, 17, 47907, {1, 1, 3, 1, 31, 53, 67, 191, 511, 369, 1273, 3859, 4253, 14469, 3427, 17691, 22599}},
+{11365, 17, 47913, {1, 1, 3, 9, 17, 53, 101, 219, 41, 663, 635, 3889, 2197, 8125, 8313, 14957, 111445}},
+{11366, 17, 47916, {1, 1, 5, 5, 7, 49, 113, 9, 399, 257, 617, 63, 2773, 4411, 1193, 54449, 89003}},
+{11367, 17, 47928, {1, 1, 7, 11, 13, 29, 77, 73, 161, 419, 985, 303, 2237, 15217, 26621, 20441, 113955}},
+{11368, 17, 47936, {1, 3, 3, 9, 17, 39, 37, 139, 289, 421, 1021, 2635, 2805, 5815, 9101, 48077, 114009}},
+{11369, 17, 47945, {1, 1, 1, 15, 25, 43, 71, 35, 103, 827, 1301, 3567, 3425, 3689, 14453, 10733, 81257}},
+{11370, 17, 47948, {1, 3, 5, 5, 15, 31, 41, 161, 481, 231, 1135, 3045, 439, 11785, 14863, 39729, 59539}},
+{11371, 17, 47956, {1, 1, 5, 7, 27, 9, 81, 141, 395, 105, 41, 3719, 3105, 13685, 7451, 31381, 82907}},
+{11372, 17, 47965, {1, 3, 1, 13, 15, 25, 127, 231, 433, 837, 1923, 1301, 2479, 3243, 21605, 55789, 11311}},
+{11373, 17, 47970, {1, 3, 5, 7, 17, 5, 27, 111, 217, 445, 1245, 1029, 7663, 10291, 16483, 37503, 110205}},
+{11374, 17, 47972, {1, 1, 1, 7, 31, 21, 51, 235, 487, 457, 1687, 2947, 5067, 13779, 7671, 7257, 119141}},
+{11375, 17, 47981, {1, 1, 5, 13, 25, 31, 59, 183, 33, 887, 469, 813, 7939, 11775, 5795, 26227, 57703}},
+{11376, 17, 47987, {1, 3, 3, 15, 17, 7, 19, 87, 365, 177, 1157, 1023, 3055, 15439, 27187, 32593, 112507}},
+{11377, 17, 48010, {1, 1, 1, 9, 19, 49, 103, 239, 207, 409, 1613, 2793, 5477, 11221, 21611, 19963, 99333}},
+{11378, 17, 48012, {1, 3, 3, 11, 17, 1, 103, 77, 93, 197, 1883, 4053, 4613, 11571, 1841, 23189, 4235}},
+{11379, 17, 48023, {1, 3, 5, 9, 9, 49, 29, 231, 167, 593, 1909, 2457, 323, 10549, 6551, 45597, 96591}},
+{11380, 17, 48033, {1, 1, 7, 11, 15, 39, 33, 61, 13, 879, 1589, 2169, 125, 2427, 13029, 24919, 14147}},
+{11381, 17, 48051, {1, 3, 5, 5, 25, 53, 49, 255, 263, 917, 1997, 171, 2945, 14243, 12983, 21821, 119547}},
+{11382, 17, 48071, {1, 1, 1, 15, 5, 25, 113, 235, 311, 377, 1059, 1365, 3457, 8699, 18617, 25119, 110659}},
+{11383, 17, 48075, {1, 1, 5, 1, 9, 61, 1, 137, 301, 85, 1527, 3831, 923, 13753, 20909, 14007, 22939}},
+{11384, 17, 48077, {1, 1, 7, 9, 23, 17, 31, 107, 55, 293, 425, 3513, 3503, 10075, 6299, 40007, 54355}},
+{11385, 17, 48080, {1, 3, 5, 5, 27, 39, 95, 187, 239, 949, 531, 3541, 99, 6339, 32295, 10377, 111287}},
+{11386, 17, 48099, {1, 1, 5, 15, 19, 39, 23, 89, 185, 47, 87, 1721, 2471, 13221, 13201, 31, 12897}},
+{11387, 17, 48106, {1, 3, 1, 9, 7, 7, 109, 241, 39, 687, 175, 139, 583, 1629, 19775, 6371, 121879}},
+{11388, 17, 48114, {1, 1, 1, 13, 13, 9, 73, 153, 367, 425, 217, 3981, 5203, 1111, 12333, 59799, 105259}},
+{11389, 17, 48120, {1, 1, 3, 5, 7, 33, 27, 123, 335, 727, 1619, 3999, 7799, 2807, 2251, 45835, 113193}},
+{11390, 17, 48128, {1, 3, 1, 7, 25, 3, 49, 163, 447, 555, 647, 1461, 5881, 15755, 32233, 48915, 96203}},
+{11391, 17, 48145, {1, 3, 7, 7, 21, 11, 61, 101, 323, 165, 1489, 2933, 3363, 8471, 4311, 65279, 123813}},
+{11392, 17, 48152, {1, 3, 1, 1, 15, 1, 101, 225, 473, 479, 1237, 113, 7591, 2883, 3891, 53703, 14607}},
+{11393, 17, 48155, {1, 3, 5, 3, 17, 51, 23, 31, 487, 957, 1623, 2329, 2801, 6213, 7523, 14131, 23893}},
+{11394, 17, 48182, {1, 1, 5, 7, 9, 39, 93, 105, 13, 481, 53, 3785, 5621, 11889, 993, 23611, 73651}},
+{11395, 17, 48188, {1, 3, 7, 15, 21, 57, 97, 69, 339, 289, 1805, 2661, 1165, 6079, 1127, 51285, 54453}},
+{11396, 17, 48203, {1, 1, 3, 3, 3, 3, 1, 179, 123, 1011, 1363, 231, 6983, 9499, 91, 52573, 32565}},
+{11397, 17, 48217, {1, 3, 3, 15, 5, 37, 97, 7, 189, 547, 1965, 3821, 4907, 8181, 12857, 7907, 19361}},
+{11398, 17, 48218, {1, 1, 5, 3, 29, 33, 45, 99, 359, 337, 1377, 577, 3117, 9545, 30093, 26147, 128509}},
+{11399, 17, 48236, {1, 3, 5, 11, 7, 49, 99, 249, 37, 755, 383, 2845, 4153, 695, 11099, 33653, 105155}},
+{11400, 17, 48241, {1, 3, 1, 1, 19, 3, 3, 177, 97, 323, 1367, 213, 4391, 11223, 26497, 12289, 39047}},
+{11401, 17, 48244, {1, 1, 3, 7, 3, 33, 73, 199, 339, 479, 1797, 3905, 2849, 5667, 18015, 36653, 83491}},
+{11402, 17, 48264, {1, 1, 5, 3, 27, 59, 27, 241, 49, 161, 451, 3993, 2489, 10681, 11895, 60405, 47021}},
+{11403, 17, 48269, {1, 1, 7, 5, 9, 23, 115, 131, 383, 895, 1591, 585, 2571, 7485, 31535, 12871, 95717}},
+{11404, 17, 48278, {1, 1, 1, 15, 13, 49, 3, 157, 311, 159, 1239, 159, 5643, 6405, 11763, 34609, 75259}},
+{11405, 17, 48282, {1, 1, 1, 13, 11, 41, 119, 3, 165, 943, 2035, 179, 357, 14591, 20099, 4787, 12659}},
+{11406, 17, 48288, {1, 1, 5, 11, 13, 9, 67, 139, 259, 947, 1559, 283, 1557, 11297, 29753, 21953, 100317}},
+{11407, 17, 48311, {1, 1, 7, 11, 13, 39, 105, 83, 109, 723, 1643, 3599, 1471, 13653, 4583, 18595, 91935}},
+{11408, 17, 48315, {1, 1, 5, 9, 25, 5, 69, 189, 209, 779, 1421, 467, 849, 12887, 10317, 3005, 100813}},
+{11409, 17, 48317, {1, 3, 7, 11, 19, 1, 93, 239, 333, 713, 1525, 813, 5913, 10811, 7077, 20573, 86999}},
+{11410, 17, 48329, {1, 3, 1, 5, 25, 1, 107, 153, 225, 889, 1319, 497, 2193, 11511, 17553, 23733, 83179}},
+{11411, 17, 48330, {1, 3, 3, 3, 5, 45, 51, 37, 443, 851, 263, 4067, 2629, 10887, 29081, 30489, 1161}},
+{11412, 17, 48337, {1, 1, 3, 9, 25, 19, 115, 31, 347, 641, 1103, 1121, 7051, 14071, 16663, 48517, 24655}},
+{11413, 17, 48350, {1, 1, 3, 15, 11, 33, 123, 181, 225, 437, 875, 1997, 209, 5487, 1989, 6745, 38423}},
+{11414, 17, 48353, {1, 3, 7, 5, 27, 5, 105, 203, 51, 683, 1523, 347, 6881, 4353, 4531, 29589, 108053}},
+{11415, 17, 48360, {1, 1, 3, 9, 15, 33, 127, 145, 125, 429, 915, 1307, 1495, 3553, 26797, 36819, 121375}},
+{11416, 17, 48374, {1, 3, 5, 15, 7, 1, 55, 99, 7, 405, 885, 59, 5359, 13969, 32037, 53399, 77293}},
+{11417, 17, 48380, {1, 1, 7, 1, 29, 31, 89, 69, 405, 837, 1949, 2337, 1139, 14129, 16867, 15167, 21117}},
+{11418, 17, 48405, {1, 1, 3, 5, 3, 25, 61, 175, 135, 109, 959, 501, 13, 16057, 25031, 16321, 27617}},
+{11419, 17, 48406, {1, 3, 1, 5, 17, 39, 59, 113, 25, 707, 1641, 3489, 6193, 10085, 13837, 57851, 77475}},
+{11420, 17, 48409, {1, 1, 3, 5, 17, 35, 111, 163, 253, 641, 715, 1101, 4411, 10771, 20241, 46415, 114719}},
+{11421, 17, 48412, {1, 3, 1, 1, 7, 11, 77, 59, 71, 869, 1505, 751, 4367, 9603, 29735, 7333, 62487}},
+{11422, 17, 48416, {1, 3, 7, 9, 3, 51, 93, 195, 497, 659, 1563, 3801, 6933, 9089, 10891, 9853, 93611}},
+{11423, 17, 48419, {1, 3, 1, 7, 21, 47, 61, 117, 293, 281, 1547, 3437, 4947, 12119, 21425, 5591, 23951}},
+{11424, 17, 48425, {1, 1, 7, 13, 19, 59, 121, 249, 147, 759, 1963, 465, 7785, 7015, 81, 47869, 123845}},
+{11425, 17, 48434, {1, 1, 7, 13, 5, 35, 45, 69, 167, 263, 979, 2855, 1845, 5531, 17167, 7363, 89233}},
+{11426, 17, 48443, {1, 3, 3, 3, 17, 43, 109, 193, 389, 867, 1403, 1271, 7127, 13977, 22547, 53997, 24475}},
+{11427, 17, 48445, {1, 1, 1, 5, 25, 43, 47, 163, 417, 967, 819, 2433, 439, 8499, 29705, 32697, 109963}},
+{11428, 17, 48453, {1, 1, 1, 15, 19, 5, 83, 237, 431, 697, 1383, 2499, 6907, 9033, 12147, 23479, 17649}},
+{11429, 17, 48454, {1, 3, 5, 13, 27, 35, 103, 95, 239, 903, 537, 601, 417, 15859, 16533, 16753, 128229}},
+{11430, 17, 48482, {1, 1, 3, 1, 11, 55, 57, 9, 229, 135, 805, 2745, 2023, 12645, 29135, 39051, 17065}},
+{11431, 17, 48491, {1, 3, 5, 3, 13, 25, 77, 29, 449, 31, 1733, 1451, 3895, 11551, 1011, 22817, 35959}},
+{11432, 17, 48501, {1, 3, 3, 3, 1, 31, 93, 47, 255, 393, 571, 443, 6079, 6245, 11773, 42087, 40651}},
+{11433, 17, 48517, {1, 3, 1, 5, 17, 49, 119, 219, 375, 337, 29, 3409, 3187, 15243, 25853, 44385, 103675}},
+{11434, 17, 48518, {1, 3, 7, 15, 15, 21, 79, 109, 81, 119, 603, 1665, 7813, 3485, 11801, 48693, 108307}},
+{11435, 17, 48545, {1, 1, 1, 15, 9, 5, 103, 141, 181, 841, 7, 1217, 7713, 4843, 9089, 53641, 3029}},
+{11436, 17, 48548, {1, 3, 3, 1, 29, 47, 13, 179, 439, 387, 1553, 3141, 947, 4893, 29119, 30865, 14207}},
+{11437, 17, 48552, {1, 1, 1, 15, 29, 1, 41, 135, 43, 673, 1527, 883, 3211, 5195, 30219, 47133, 56819}},
+{11438, 17, 48569, {1, 3, 5, 13, 13, 47, 97, 219, 277, 397, 1901, 821, 1961, 705, 7291, 19435, 123563}},
+{11439, 17, 48575, {1, 1, 7, 15, 5, 49, 93, 59, 221, 205, 115, 559, 5633, 5819, 6923, 18301, 72639}},
+{11440, 17, 48580, {1, 3, 5, 13, 29, 49, 25, 203, 125, 385, 487, 1897, 2177, 6859, 6105, 763, 36673}},
+{11441, 17, 48584, {1, 3, 3, 9, 23, 63, 9, 115, 489, 89, 1113, 1351, 8181, 2569, 18263, 32619, 24795}},
+{11442, 17, 48590, {1, 1, 5, 11, 25, 51, 97, 155, 15, 139, 1275, 3479, 5851, 3099, 7417, 57155, 90185}},
+{11443, 17, 48595, {1, 3, 1, 11, 1, 37, 67, 221, 493, 475, 1881, 2277, 4365, 9411, 16629, 65229, 28803}},
+{11444, 17, 48602, {1, 3, 1, 1, 15, 53, 39, 141, 453, 151, 335, 795, 1515, 2719, 24197, 21153, 129549}},
+{11445, 17, 48604, {1, 1, 1, 7, 19, 31, 59, 123, 73, 149, 469, 1199, 3603, 1539, 29157, 50031, 22109}},
+{11446, 17, 48618, {1, 1, 3, 15, 23, 51, 45, 211, 423, 553, 1289, 1125, 6347, 6711, 23761, 14109, 17261}},
+{11447, 17, 48625, {1, 3, 5, 13, 5, 7, 35, 185, 263, 791, 161, 325, 4771, 11913, 31595, 56675, 68615}},
+{11448, 17, 48626, {1, 1, 5, 9, 19, 27, 89, 147, 55, 197, 1695, 99, 755, 15115, 1933, 41439, 85063}},
+{11449, 17, 48638, {1, 1, 7, 7, 17, 11, 103, 55, 281, 707, 1973, 2055, 5015, 5713, 3717, 44149, 8033}},
+{11450, 17, 48668, {1, 3, 1, 5, 21, 49, 55, 93, 161, 565, 81, 3241, 3709, 8185, 16935, 60369, 118127}},
+{11451, 17, 48677, {1, 3, 7, 9, 27, 1, 105, 133, 397, 351, 1021, 739, 161, 9971, 24733, 29239, 68853}},
+{11452, 17, 48678, {1, 1, 7, 1, 1, 19, 97, 243, 73, 969, 313, 399, 2955, 2467, 18265, 60637, 35457}},
+{11453, 17, 48687, {1, 3, 1, 11, 29, 25, 35, 35, 469, 143, 1195, 911, 1023, 14685, 10933, 16449, 102113}},
+{11454, 17, 48692, {1, 1, 5, 3, 31, 21, 65, 181, 13, 235, 501, 3621, 3567, 8771, 32747, 59231, 91551}},
+{11455, 17, 48696, {1, 1, 1, 13, 29, 21, 13, 33, 193, 565, 203, 3927, 4749, 9897, 26109, 14221, 27733}},
+{11456, 17, 48704, {1, 1, 1, 5, 29, 41, 7, 125, 391, 295, 533, 2135, 3107, 7711, 27811, 55767, 78821}},
+{11457, 17, 48707, {1, 1, 7, 3, 19, 25, 117, 195, 155, 685, 147, 2049, 3751, 4585, 24893, 36895, 80371}},
+{11458, 17, 48714, {1, 3, 5, 5, 23, 41, 9, 125, 315, 809, 1019, 1453, 4605, 13753, 30641, 50677, 94781}},
+{11459, 17, 48731, {1, 1, 1, 7, 27, 45, 103, 199, 37, 291, 651, 185, 6715, 15387, 30873, 63051, 123231}},
+{11460, 17, 48740, {1, 1, 5, 7, 17, 5, 75, 129, 401, 107, 1681, 2039, 299, 12399, 30947, 26327, 91589}},
+{11461, 17, 48750, {1, 3, 3, 15, 17, 19, 109, 19, 493, 797, 209, 929, 2821, 395, 22173, 27803, 87953}},
+{11462, 17, 48761, {1, 3, 7, 5, 7, 5, 71, 159, 483, 389, 1817, 4093, 963, 4253, 31267, 63919, 62113}},
+{11463, 17, 48785, {1, 3, 3, 15, 9, 49, 89, 49, 15, 61, 2041, 2357, 2173, 3349, 32565, 23207, 21177}},
+{11464, 17, 48786, {1, 1, 1, 13, 15, 21, 31, 143, 387, 371, 567, 1903, 3793, 9559, 7055, 31251, 13663}},
+{11465, 17, 48798, {1, 1, 3, 13, 3, 7, 49, 31, 255, 581, 627, 1947, 2965, 2787, 8275, 59785, 19979}},
+{11466, 17, 48807, {1, 3, 3, 13, 29, 47, 53, 133, 301, 253, 1215, 3409, 5745, 247, 31585, 5555, 31011}},
+{11467, 17, 48808, {1, 3, 7, 15, 23, 49, 1, 89, 141, 423, 707, 645, 7955, 10485, 27223, 35867, 45461}},
+{11468, 17, 48814, {1, 1, 3, 3, 29, 25, 123, 63, 197, 429, 169, 3229, 3797, 4029, 29947, 52781, 16065}},
+{11469, 17, 48826, {1, 3, 3, 7, 29, 17, 83, 95, 199, 253, 133, 265, 6723, 6207, 12863, 61311, 21937}},
+{11470, 17, 48828, {1, 3, 7, 13, 19, 61, 89, 151, 249, 597, 1389, 717, 5111, 3285, 6251, 50237, 108703}},
+{11471, 17, 48834, {1, 3, 5, 11, 1, 23, 35, 61, 143, 45, 625, 1693, 4943, 2213, 9317, 7601, 28359}},
+{11472, 17, 48840, {1, 3, 3, 15, 29, 43, 115, 23, 167, 355, 977, 439, 4767, 9967, 22997, 54725, 125637}},
+{11473, 17, 48845, {1, 3, 7, 1, 29, 45, 83, 71, 395, 247, 1, 113, 6393, 12445, 16137, 35125, 102053}},
+{11474, 17, 48858, {1, 1, 1, 7, 17, 55, 17, 159, 33, 237, 207, 1297, 5611, 6023, 17709, 60905, 3533}},
+{11475, 17, 48864, {1, 3, 1, 13, 27, 57, 27, 235, 141, 917, 1655, 659, 939, 559, 2651, 705, 80141}},
+{11476, 17, 48869, {1, 3, 7, 3, 3, 17, 111, 117, 467, 129, 1105, 3457, 2093, 8513, 19941, 22111, 54597}},
+{11477, 17, 48870, {1, 3, 7, 3, 5, 17, 59, 195, 23, 547, 1799, 1427, 391, 4043, 10407, 31055, 38495}},
+{11478, 17, 48879, {1, 1, 1, 7, 21, 9, 71, 33, 209, 773, 1243, 3239, 3763, 15229, 9609, 24395, 56145}},
+{11479, 17, 48887, {1, 3, 5, 13, 13, 45, 71, 91, 23, 553, 665, 1753, 5173, 4355, 14317, 42517, 32307}},
+{11480, 17, 48899, {1, 3, 5, 11, 31, 3, 37, 95, 63, 425, 1611, 2983, 5075, 1375, 14305, 11099, 101203}},
+{11481, 17, 48911, {1, 1, 3, 1, 21, 7, 15, 141, 389, 871, 617, 271, 1037, 13569, 13019, 58899, 54097}},
+{11482, 17, 48920, {1, 3, 7, 1, 13, 25, 21, 251, 467, 373, 1539, 4065, 1871, 791, 26315, 64187, 119455}},
+{11483, 17, 48926, {1, 3, 1, 3, 25, 37, 43, 9, 187, 323, 409, 443, 2861, 14145, 26185, 24049, 109613}},
+{11484, 17, 48929, {1, 1, 3, 7, 21, 61, 3, 81, 445, 673, 1269, 613, 1279, 8209, 22911, 48017, 54181}},
+{11485, 17, 48971, {1, 1, 1, 15, 25, 63, 71, 147, 217, 491, 183, 977, 4967, 3471, 8791, 11843, 68005}},
+{11486, 17, 48974, {1, 1, 1, 5, 25, 43, 13, 237, 57, 919, 1641, 399, 4269, 7357, 3465, 63901, 61329}},
+{11487, 17, 48981, {1, 1, 7, 15, 27, 57, 47, 187, 295, 117, 1223, 2963, 4995, 13279, 25107, 56089, 37293}},
+{11488, 17, 48998, {1, 1, 5, 13, 29, 19, 83, 121, 129, 931, 1933, 1141, 3125, 3321, 22019, 52729, 119643}},
+{11489, 17, 49007, {1, 1, 1, 1, 21, 19, 49, 241, 227, 57, 1919, 113, 6993, 4687, 1043, 5247, 15565}},
+{11490, 17, 49028, {1, 3, 3, 15, 5, 21, 65, 129, 485, 173, 1663, 2419, 4279, 4167, 25827, 28457, 68219}},
+{11491, 17, 49031, {1, 1, 3, 1, 17, 9, 65, 21, 487, 875, 1111, 1679, 6451, 14825, 23931, 16053, 79687}},
+{11492, 17, 49056, {1, 3, 3, 5, 13, 5, 49, 15, 267, 389, 1111, 1505, 5815, 6285, 26075, 167, 70325}},
+{11493, 17, 49065, {1, 1, 3, 11, 5, 15, 57, 171, 407, 497, 1979, 2819, 1267, 6893, 6601, 30971, 24477}},
+{11494, 17, 49079, {1, 1, 1, 15, 7, 5, 69, 181, 195, 847, 1245, 4019, 2469, 1407, 17013, 43437, 16307}},
+{11495, 17, 49083, {1, 3, 1, 11, 15, 17, 115, 197, 215, 35, 1489, 659, 4725, 11339, 30259, 52539, 13365}},
+{11496, 17, 49088, {1, 1, 1, 13, 23, 43, 21, 33, 17, 969, 1321, 2469, 4371, 7685, 6817, 20179, 113483}},
+{11497, 17, 49093, {1, 3, 7, 3, 31, 11, 79, 55, 123, 263, 1061, 2087, 183, 11623, 20703, 60291, 115261}},
+{11498, 17, 49100, {1, 1, 5, 13, 5, 53, 21, 71, 399, 165, 1997, 2667, 7361, 8863, 27859, 17235, 77623}},
+{11499, 17, 49103, {1, 3, 3, 15, 21, 55, 27, 31, 371, 289, 253, 1453, 105, 7035, 14787, 2281, 128359}},
+{11500, 17, 49124, {1, 1, 3, 15, 23, 29, 3, 143, 47, 255, 115, 2741, 6773, 16267, 5975, 3689, 97497}},
+{11501, 17, 49136, {1, 1, 1, 15, 9, 57, 109, 43, 359, 365, 1577, 4091, 7399, 10521, 7983, 56119, 65451}},
+{11502, 17, 49139, {1, 3, 7, 7, 29, 55, 115, 155, 121, 679, 663, 2345, 3765, 4493, 9555, 24043, 41467}},
+{11503, 17, 49142, {1, 1, 3, 1, 19, 55, 67, 255, 355, 701, 2027, 3703, 7839, 1701, 7657, 36429, 36623}},
+{11504, 17, 49145, {1, 3, 5, 5, 29, 7, 31, 123, 21, 901, 1581, 3993, 5105, 9715, 18347, 27415, 19253}},
+{11505, 17, 49146, {1, 3, 5, 3, 3, 53, 121, 105, 51, 577, 157, 2151, 5105, 7855, 8595, 24457, 55931}},
+{11506, 17, 49171, {1, 3, 1, 9, 23, 25, 67, 115, 79, 809, 1215, 943, 1075, 7103, 729, 18791, 115977}},
+{11507, 17, 49187, {1, 3, 1, 13, 3, 57, 105, 161, 277, 393, 1671, 2765, 5781, 13429, 24075, 10931, 50951}},
+{11508, 17, 49190, {1, 3, 5, 9, 19, 61, 9, 227, 455, 541, 721, 2855, 949, 10159, 13801, 48199, 26747}},
+{11509, 17, 49194, {1, 3, 1, 3, 25, 61, 53, 177, 441, 697, 1845, 3573, 6673, 9691, 911, 46387, 64727}},
+{11510, 17, 49196, {1, 1, 1, 11, 7, 13, 95, 221, 455, 967, 869, 883, 6301, 5261, 18401, 35745, 114645}},
+{11511, 17, 49207, {1, 3, 1, 11, 15, 7, 115, 217, 235, 539, 491, 603, 2201, 241, 25445, 29773, 122695}},
+{11512, 17, 49216, {1, 1, 5, 3, 19, 9, 71, 193, 131, 927, 1931, 3981, 7537, 10811, 27285, 45865, 106171}},
+{11513, 17, 49219, {1, 1, 7, 5, 5, 21, 107, 77, 363, 733, 1011, 3259, 5263, 15043, 19153, 32117, 129409}},
+{11514, 17, 49222, {1, 1, 3, 13, 21, 5, 9, 103, 369, 699, 329, 1065, 895, 13211, 19017, 5359, 38335}},
+{11515, 17, 49240, {1, 1, 7, 15, 21, 11, 73, 153, 371, 753, 805, 3519, 5839, 1809, 7201, 8189, 68361}},
+{11516, 17, 49250, {1, 3, 7, 9, 27, 45, 25, 175, 317, 381, 961, 619, 4827, 15161, 19091, 29369, 21097}},
+{11517, 17, 49262, {1, 1, 5, 5, 7, 7, 21, 69, 23, 589, 1413, 653, 911, 13599, 18349, 47307, 64047}},
+{11518, 17, 49276, {1, 1, 1, 13, 27, 23, 87, 249, 135, 727, 375, 3641, 1489, 13053, 5151, 62689, 101347}},
+{11519, 17, 49289, {1, 1, 5, 11, 7, 39, 1, 109, 203, 961, 973, 1181, 2357, 5123, 31481, 58345, 52705}},
+{11520, 17, 49292, {1, 1, 1, 15, 25, 15, 85, 49, 77, 235, 1761, 2731, 4157, 2057, 27587, 30299, 52997}},
+{11521, 17, 49298, {1, 1, 5, 3, 1, 13, 47, 219, 51, 521, 625, 3243, 7093, 10823, 9559, 58191, 95573}},
+{11522, 17, 49319, {1, 3, 5, 13, 27, 63, 13, 7, 167, 909, 1559, 2103, 1807, 943, 28997, 31015, 85407}},
+{11523, 17, 49320, {1, 1, 3, 5, 17, 21, 101, 163, 477, 223, 175, 3435, 7071, 5121, 28015, 33365, 121057}},
+{11524, 17, 49325, {1, 3, 7, 1, 11, 35, 111, 41, 261, 45, 1009, 2827, 4019, 5029, 22289, 20235, 13481}},
+{11525, 17, 49333, {1, 3, 5, 5, 15, 41, 109, 7, 329, 447, 65, 1317, 6169, 15947, 31191, 47091, 60643}},
+{11526, 17, 49340, {1, 3, 7, 7, 21, 13, 29, 113, 511, 407, 1211, 2065, 455, 10049, 5745, 48589, 48669}},
+{11527, 17, 49343, {1, 1, 5, 5, 21, 45, 89, 19, 279, 165, 1897, 957, 8045, 565, 4959, 37173, 100773}},
+{11528, 17, 49352, {1, 3, 1, 15, 9, 17, 99, 143, 489, 633, 1721, 1255, 3655, 10083, 29079, 17109, 10035}},
+{11529, 17, 49363, {1, 1, 3, 3, 3, 23, 47, 9, 255, 169, 1103, 1799, 7899, 7673, 19259, 61919, 112831}},
+{11530, 17, 49375, {1, 1, 5, 5, 31, 37, 83, 229, 93, 575, 1589, 2353, 185, 7783, 9413, 9617, 123197}},
+{11531, 17, 49391, {1, 3, 5, 7, 31, 7, 113, 255, 231, 309, 1215, 737, 3635, 14631, 28737, 45127, 111399}},
+{11532, 17, 49405, {1, 1, 7, 1, 11, 5, 55, 235, 369, 983, 873, 655, 6277, 11425, 11191, 38231, 88941}},
+{11533, 17, 49413, {1, 3, 1, 9, 3, 1, 119, 93, 245, 167, 853, 2543, 203, 5313, 14129, 6283, 107117}},
+{11534, 17, 49420, {1, 3, 3, 13, 21, 33, 59, 167, 435, 163, 1873, 3341, 2895, 13205, 14147, 19567, 100127}},
+{11535, 17, 49425, {1, 1, 5, 9, 7, 15, 39, 81, 475, 511, 1585, 63, 6861, 10055, 3577, 48999, 80979}},
+{11536, 17, 49431, {1, 1, 5, 13, 21, 29, 17, 3, 499, 739, 1257, 2925, 8179, 13367, 18879, 19917, 109907}},
+{11537, 17, 49432, {1, 3, 7, 13, 15, 57, 109, 19, 265, 579, 233, 2507, 5059, 14713, 9549, 41915, 56199}},
+{11538, 17, 49441, {1, 3, 3, 5, 31, 25, 85, 163, 187, 795, 1597, 1963, 473, 4673, 4555, 51365, 73817}},
+{11539, 17, 49456, {1, 3, 3, 13, 25, 35, 71, 251, 33, 971, 235, 1919, 6705, 14657, 23417, 56377, 21071}},
+{11540, 17, 49476, {1, 3, 3, 11, 3, 29, 85, 193, 11, 831, 29, 1233, 6199, 11991, 9205, 3323, 23749}},
+{11541, 17, 49479, {1, 3, 7, 7, 11, 15, 1, 17, 87, 665, 1593, 2331, 845, 7821, 89, 7057, 114975}},
+{11542, 17, 49504, {1, 1, 5, 11, 9, 37, 39, 79, 455, 397, 1431, 1541, 7629, 15133, 21395, 35619, 123801}},
+{11543, 17, 49514, {1, 1, 1, 7, 11, 59, 67, 45, 169, 869, 1547, 2947, 3025, 12967, 29927, 22181, 44783}},
+{11544, 17, 49528, {1, 1, 5, 7, 3, 57, 123, 253, 369, 537, 83, 1147, 3469, 9775, 14137, 38899, 101143}},
+{11545, 17, 49543, {1, 3, 5, 3, 19, 35, 11, 215, 343, 677, 1873, 1211, 3129, 9017, 29595, 1291, 39397}},
+{11546, 17, 49544, {1, 1, 7, 3, 25, 7, 61, 229, 187, 839, 747, 3347, 4321, 13201, 19665, 56951, 85273}},
+{11547, 17, 49550, {1, 1, 1, 1, 11, 5, 51, 41, 227, 895, 553, 2673, 6581, 6583, 15429, 33211, 100599}},
+{11548, 17, 49558, {1, 3, 3, 5, 21, 27, 91, 65, 213, 341, 723, 567, 4761, 11549, 15041, 23079, 55245}},
+{11549, 17, 49568, {1, 1, 3, 1, 15, 43, 83, 57, 473, 453, 1351, 2055, 5769, 3887, 29481, 57915, 14017}},
+{11550, 17, 49578, {1, 3, 3, 3, 21, 29, 121, 137, 99, 527, 711, 1169, 7869, 6245, 25423, 38989, 87019}},
+{11551, 17, 49600, {1, 1, 5, 11, 9, 61, 125, 7, 207, 245, 1019, 635, 7099, 13133, 11809, 56705, 18801}},
+{11552, 17, 49612, {1, 3, 7, 9, 15, 31, 37, 205, 439, 651, 255, 971, 4311, 7137, 11821, 45041, 31081}},
+{11553, 17, 49633, {1, 1, 5, 9, 7, 55, 51, 147, 371, 881, 359, 3021, 1141, 14515, 14605, 64067, 98231}},
+{11554, 17, 49634, {1, 3, 1, 3, 29, 9, 109, 21, 437, 321, 753, 3227, 2929, 14787, 2451, 54331, 115921}},
+{11555, 17, 49636, {1, 3, 5, 7, 1, 29, 13, 167, 89, 185, 409, 209, 6625, 5237, 22513, 2095, 26427}},
+{11556, 17, 49643, {1, 1, 1, 3, 3, 31, 25, 145, 27, 345, 957, 823, 7873, 9469, 29115, 12455, 39447}},
+{11557, 17, 49654, {1, 1, 3, 3, 31, 15, 99, 181, 247, 165, 441, 59, 1181, 2851, 1337, 4929, 31079}},
+{11558, 17, 49657, {1, 1, 3, 11, 3, 47, 41, 53, 41, 435, 945, 3839, 8083, 4927, 26919, 24689, 61015}},
+{11559, 17, 49663, {1, 3, 3, 9, 7, 21, 121, 233, 493, 271, 549, 1627, 5861, 377, 20751, 52927, 3649}},
+{11560, 17, 49667, {1, 1, 1, 7, 15, 49, 29, 149, 57, 513, 873, 93, 337, 12559, 24287, 27771, 28207}},
+{11561, 17, 49693, {1, 1, 5, 7, 7, 7, 75, 161, 419, 601, 55, 2599, 5325, 12419, 26755, 5103, 10231}},
+{11562, 17, 49700, {1, 3, 5, 15, 3, 55, 67, 183, 7, 371, 141, 4093, 4567, 13971, 3327, 20701, 78819}},
+{11563, 17, 49703, {1, 1, 1, 13, 15, 41, 45, 29, 375, 235, 1985, 1051, 5863, 7043, 11143, 59381, 55007}},
+{11564, 17, 49712, {1, 3, 1, 15, 15, 29, 15, 101, 395, 39, 1839, 1689, 429, 405, 29337, 28573, 10599}},
+{11565, 17, 49717, {1, 3, 3, 11, 7, 5, 11, 153, 235, 227, 561, 1037, 2283, 6657, 6729, 17939, 29809}},
+{11566, 17, 49718, {1, 1, 1, 5, 15, 59, 33, 69, 275, 447, 661, 2071, 5811, 10463, 32707, 64503, 106313}},
+{11567, 17, 49721, {1, 1, 7, 1, 21, 53, 21, 235, 497, 309, 1207, 1613, 7739, 12785, 7743, 37671, 29197}},
+{11568, 17, 49727, {1, 3, 5, 9, 9, 51, 33, 105, 275, 917, 1911, 3607, 865, 899, 5405, 59593, 113965}},
+{11569, 17, 49730, {1, 3, 1, 7, 7, 63, 51, 83, 481, 347, 1323, 3549, 2873, 12527, 16515, 61077, 63239}},
+{11570, 17, 49735, {1, 1, 1, 1, 13, 21, 87, 139, 461, 215, 1173, 1197, 2091, 11247, 25647, 23443, 105761}},
+{11571, 17, 49739, {1, 1, 1, 1, 27, 33, 21, 27, 365, 75, 351, 2111, 3897, 13325, 4821, 41355, 95681}},
+{11572, 17, 49747, {1, 3, 5, 5, 15, 41, 15, 93, 397, 461, 1993, 321, 4375, 1205, 18417, 37549, 30181}},
+{11573, 17, 49765, {1, 3, 5, 15, 1, 49, 101, 129, 215, 773, 1265, 2245, 2517, 16261, 32149, 3545, 27631}},
+{11574, 17, 49770, {1, 1, 1, 15, 5, 5, 3, 127, 265, 721, 875, 3117, 2177, 7843, 15871, 22687, 89347}},
+{11575, 17, 49772, {1, 3, 7, 11, 29, 23, 69, 41, 155, 257, 563, 509, 6105, 9169, 18341, 25373, 127397}},
+{11576, 17, 49777, {1, 1, 5, 13, 31, 23, 65, 131, 131, 61, 1979, 2737, 3793, 3617, 14385, 189, 84567}},
+{11577, 17, 49789, {1, 1, 1, 13, 21, 33, 43, 97, 83, 903, 1971, 3209, 5391, 7703, 13795, 3895, 78045}},
+{11578, 17, 49817, {1, 3, 3, 5, 17, 53, 113, 237, 269, 83, 589, 4029, 3309, 14531, 11359, 25803, 25525}},
+{11579, 17, 49829, {1, 1, 7, 1, 21, 35, 43, 73, 251, 705, 1737, 3341, 1581, 9663, 6251, 16329, 44491}},
+{11580, 17, 49839, {1, 3, 3, 7, 17, 5, 65, 19, 203, 717, 807, 1759, 6907, 15801, 30369, 2655, 69565}},
+{11581, 17, 49844, {1, 1, 1, 1, 31, 21, 75, 221, 115, 395, 1495, 2739, 1745, 5981, 28045, 56581, 130695}},
+{11582, 17, 49851, {1, 3, 1, 9, 27, 5, 113, 123, 367, 701, 647, 117, 2389, 12309, 1747, 23421, 21583}},
+{11583, 17, 49854, {1, 1, 1, 15, 27, 57, 95, 81, 347, 765, 1435, 1727, 153, 6051, 27085, 62787, 40903}},
+{11584, 17, 49874, {1, 1, 3, 11, 23, 29, 23, 29, 169, 653, 835, 357, 5113, 5293, 11779, 23567, 64569}},
+{11585, 17, 49883, {1, 1, 7, 13, 31, 7, 101, 235, 99, 247, 1267, 509, 3927, 14317, 3217, 24389, 34215}},
+{11586, 17, 49886, {1, 3, 3, 5, 21, 27, 33, 229, 33, 551, 815, 3551, 4261, 13325, 31117, 40689, 66549}},
+{11587, 17, 49892, {1, 3, 7, 1, 23, 1, 99, 11, 139, 569, 365, 1233, 3281, 7817, 8833, 47699, 97825}},
+{11588, 17, 49895, {1, 1, 3, 1, 19, 39, 19, 151, 25, 73, 1271, 1435, 3109, 2571, 9191, 48257, 61001}},
+{11589, 17, 49914, {1, 3, 7, 1, 23, 63, 1, 115, 159, 943, 1637, 1443, 809, 10705, 12563, 63111, 96343}},
+{11590, 17, 49931, {1, 1, 7, 15, 5, 17, 65, 157, 45, 199, 371, 2497, 4367, 9109, 31955, 64253, 69279}},
+{11591, 17, 49933, {1, 3, 3, 15, 29, 45, 103, 183, 87, 543, 97, 1545, 2719, 5619, 28871, 4049, 111825}},
+{11592, 17, 49934, {1, 1, 5, 7, 27, 63, 65, 241, 103, 483, 579, 3589, 5673, 13283, 24193, 31993, 72713}},
+{11593, 17, 49941, {1, 3, 7, 9, 21, 35, 59, 183, 459, 211, 753, 3941, 5389, 10535, 2895, 44307, 26577}},
+{11594, 17, 49952, {1, 3, 1, 3, 9, 11, 15, 141, 159, 853, 1975, 4027, 8053, 16129, 32687, 29117, 67507}},
+{11595, 17, 49967, {1, 3, 3, 1, 19, 51, 55, 167, 85, 869, 437, 457, 7879, 2097, 4403, 2139, 10589}},
+{11596, 17, 49969, {1, 3, 3, 15, 19, 33, 63, 229, 197, 269, 1189, 317, 5087, 3147, 787, 64317, 43293}},
+{11597, 17, 49972, {1, 3, 5, 11, 25, 25, 121, 37, 371, 117, 1683, 2921, 671, 11353, 32273, 57597, 56901}},
+{11598, 17, 49976, {1, 3, 7, 7, 9, 37, 91, 159, 195, 1, 77, 2085, 985, 9999, 5639, 25041, 66393}},
+{11599, 17, 49979, {1, 1, 7, 5, 11, 17, 67, 21, 301, 971, 591, 3809, 4795, 12301, 16977, 27495, 98539}},
+{11600, 17, 49999, {1, 3, 1, 9, 13, 53, 83, 205, 111, 609, 631, 23, 1781, 15401, 1563, 34367, 40345}},
+{11601, 17, 50008, {1, 3, 7, 1, 31, 23, 101, 47, 55, 905, 953, 733, 5173, 5937, 17703, 31077, 49707}},
+{11602, 17, 50030, {1, 3, 5, 3, 5, 3, 127, 171, 511, 289, 685, 1157, 6521, 3301, 3017, 58857, 55289}},
+{11603, 17, 50041, {1, 1, 5, 1, 1, 29, 59, 7, 423, 83, 797, 2633, 2015, 1657, 7575, 39819, 181}},
+{11604, 17, 50042, {1, 3, 5, 15, 25, 27, 39, 99, 83, 381, 401, 1033, 867, 15645, 28643, 34917, 53215}},
+{11605, 17, 50044, {1, 3, 5, 15, 17, 1, 67, 63, 355, 841, 681, 2807, 531, 15295, 7859, 64031, 121519}},
+{11606, 17, 50057, {1, 3, 1, 5, 21, 57, 63, 247, 467, 101, 129, 2627, 4763, 479, 11145, 8861, 69803}},
+{11607, 17, 50060, {1, 3, 1, 15, 13, 13, 77, 39, 297, 401, 1653, 659, 3909, 13179, 10477, 45967, 1665}},
+{11608, 17, 50075, {1, 3, 7, 5, 29, 17, 35, 157, 309, 747, 1717, 1279, 6103, 3509, 17499, 22989, 43157}},
+{11609, 17, 50077, {1, 1, 1, 7, 11, 51, 55, 119, 145, 505, 179, 3979, 1237, 12801, 15921, 13561, 69161}},
+{11610, 17, 50091, {1, 1, 5, 7, 13, 9, 73, 203, 247, 257, 1607, 1183, 6237, 12327, 5059, 51645, 88781}},
+{11611, 17, 50096, {1, 3, 5, 9, 1, 9, 27, 59, 235, 81, 689, 2457, 893, 6107, 27643, 40145, 2329}},
+{11612, 17, 50099, {1, 1, 1, 11, 11, 19, 65, 63, 27, 513, 1473, 2955, 8037, 4991, 22035, 41965, 82589}},
+{11613, 17, 50106, {1, 3, 1, 1, 9, 53, 97, 95, 247, 379, 259, 2789, 1433, 15299, 18309, 51813, 63271}},
+{11614, 17, 50116, {1, 1, 5, 1, 11, 41, 69, 193, 391, 27, 1511, 1575, 1161, 14741, 25193, 31149, 79573}},
+{11615, 17, 50133, {1, 3, 7, 15, 19, 31, 101, 9, 111, 427, 531, 1335, 767, 15075, 28373, 54015, 108021}},
+{11616, 17, 50144, {1, 3, 1, 3, 29, 17, 83, 163, 179, 703, 2027, 3027, 5267, 16111, 23929, 9653, 38633}},
+{11617, 17, 50153, {1, 3, 5, 9, 3, 7, 111, 1, 311, 143, 1563, 2605, 301, 2447, 5009, 63767, 37529}},
+{11618, 17, 50154, {1, 3, 5, 5, 23, 23, 97, 11, 475, 741, 1385, 2491, 1717, 14587, 6289, 27651, 21873}},
+{11619, 17, 50168, {1, 1, 5, 1, 31, 31, 119, 93, 209, 861, 1591, 1233, 3469, 9799, 5969, 35965, 110841}},
+{11620, 17, 50179, {1, 1, 5, 13, 19, 31, 69, 107, 423, 651, 757, 665, 1297, 9985, 14983, 3153, 26425}},
+{11621, 17, 50188, {1, 1, 5, 3, 23, 5, 89, 77, 461, 799, 683, 2885, 845, 12847, 26721, 13145, 88689}},
+{11622, 17, 50194, {1, 1, 3, 3, 19, 3, 41, 71, 247, 293, 1047, 2349, 6815, 2413, 13683, 51421, 110737}},
+{11623, 17, 50203, {1, 3, 3, 9, 19, 51, 91, 193, 447, 305, 751, 1757, 1547, 12683, 4645, 39767, 6433}},
+{11624, 17, 50212, {1, 1, 7, 1, 11, 51, 83, 175, 461, 259, 1337, 175, 877, 15895, 22487, 8079, 71291}},
+{11625, 17, 50216, {1, 1, 1, 11, 13, 23, 19, 69, 285, 629, 563, 2433, 815, 4851, 10617, 59949, 59119}},
+{11626, 17, 50222, {1, 3, 5, 5, 19, 49, 47, 27, 343, 579, 197, 35, 7051, 2441, 30091, 9645, 101899}},
+{11627, 17, 50229, {1, 1, 3, 3, 21, 25, 125, 215, 159, 259, 1915, 2193, 4213, 16157, 8665, 10967, 112793}},
+{11628, 17, 50230, {1, 1, 5, 11, 29, 11, 53, 45, 121, 533, 257, 1749, 6311, 7715, 12037, 12003, 38987}},
+{11629, 17, 50234, {1, 3, 1, 11, 25, 31, 93, 191, 231, 801, 361, 1275, 5031, 7927, 26333, 39795, 45875}},
+{11630, 17, 50251, {1, 1, 5, 1, 7, 37, 117, 35, 257, 225, 1769, 1805, 1593, 1507, 27741, 31561, 52107}},
+{11631, 17, 50253, {1, 1, 3, 3, 27, 23, 55, 5, 137, 677, 459, 2821, 1331, 5845, 17751, 17557, 60495}},
+{11632, 17, 50262, {1, 1, 7, 7, 5, 47, 85, 17, 287, 757, 2013, 2233, 2975, 13769, 23199, 32117, 84429}},
+{11633, 17, 50266, {1, 3, 3, 11, 1, 15, 39, 133, 79, 915, 147, 1489, 2319, 13715, 31317, 46785, 64147}},
+{11634, 17, 50272, {1, 1, 3, 11, 1, 25, 83, 69, 395, 537, 895, 565, 2781, 12685, 7831, 36369, 27871}},
+{11635, 17, 50287, {1, 1, 1, 1, 13, 17, 59, 179, 509, 979, 315, 3495, 1773, 16375, 27873, 18065, 20285}},
+{11636, 17, 50295, {1, 1, 5, 1, 27, 31, 39, 251, 121, 899, 751, 1603, 7501, 425, 25791, 35407, 110405}},
+{11637, 17, 50305, {1, 1, 7, 11, 11, 3, 107, 247, 79, 349, 405, 3469, 2201, 8007, 22891, 7901, 11413}},
+{11638, 17, 50306, {1, 1, 1, 11, 15, 55, 121, 151, 127, 239, 115, 611, 6191, 15435, 19831, 64745, 110473}},
+{11639, 17, 50311, {1, 1, 7, 1, 21, 25, 57, 11, 31, 823, 1855, 2337, 7655, 10845, 22167, 36977, 94265}},
+{11640, 17, 50320, {1, 3, 5, 1, 31, 11, 117, 97, 341, 953, 1499, 2487, 559, 8609, 6321, 20669, 28945}},
+{11641, 17, 50323, {1, 3, 7, 1, 5, 27, 15, 161, 83, 139, 75, 3645, 5227, 16199, 1833, 21767, 67579}},
+{11642, 17, 50325, {1, 1, 7, 5, 31, 35, 75, 115, 451, 773, 1987, 1069, 651, 961, 16317, 18391, 56519}},
+{11643, 17, 50339, {1, 1, 1, 1, 31, 11, 23, 255, 215, 251, 867, 2381, 2351, 13189, 17705, 33569, 102361}},
+{11644, 17, 50356, {1, 3, 7, 1, 17, 49, 49, 125, 445, 947, 1985, 2113, 3025, 6277, 1981, 33329, 99413}},
+{11645, 17, 50365, {1, 3, 3, 3, 27, 7, 59, 109, 37, 777, 1359, 2157, 3185, 7317, 30887, 10499, 126563}},
+{11646, 17, 50366, {1, 3, 3, 9, 27, 5, 99, 167, 457, 363, 2031, 1805, 4661, 8695, 4667, 61129, 81143}},
+{11647, 17, 50368, {1, 1, 5, 13, 5, 47, 95, 249, 289, 631, 1739, 2947, 7169, 13019, 10429, 16197, 11539}},
+{11648, 17, 50377, {1, 3, 7, 15, 27, 45, 93, 131, 269, 835, 399, 1133, 6509, 1279, 3635, 17977, 38667}},
+{11649, 17, 50386, {1, 1, 5, 3, 17, 51, 1, 77, 105, 237, 995, 2643, 6921, 6707, 30129, 1543, 94501}},
+{11650, 17, 50397, {1, 1, 1, 7, 29, 1, 117, 33, 141, 805, 1553, 3943, 45, 8911, 24191, 45191, 36525}},
+{11651, 17, 50411, {1, 1, 7, 7, 31, 21, 97, 29, 179, 345, 1059, 701, 7709, 15831, 22923, 57233, 58961}},
+{11652, 17, 50414, {1, 1, 3, 15, 15, 5, 85, 227, 13, 351, 1167, 3283, 6833, 565, 21019, 53249, 4639}},
+{11653, 17, 50425, {1, 3, 3, 5, 27, 1, 5, 89, 101, 295, 481, 2397, 1459, 3729, 3703, 25109, 69237}},
+{11654, 17, 50451, {1, 3, 7, 13, 31, 37, 69, 147, 505, 487, 1701, 1145, 2061, 10067, 18269, 13049, 92091}},
+{11655, 17, 50463, {1, 3, 3, 1, 29, 39, 33, 199, 499, 377, 1081, 3787, 4843, 16287, 23397, 19083, 91381}},
+{11656, 17, 50467, {1, 1, 1, 13, 21, 61, 121, 251, 511, 615, 625, 2245, 5951, 16165, 2155, 37301, 68319}},
+{11657, 17, 50473, {1, 1, 1, 15, 19, 35, 57, 99, 1, 97, 1177, 3109, 7213, 5447, 25251, 24803, 107449}},
+{11658, 17, 50487, {1, 3, 1, 11, 11, 59, 95, 135, 329, 931, 843, 2847, 463, 10725, 3933, 32325, 44545}},
+{11659, 17, 50501, {1, 1, 7, 13, 13, 57, 29, 175, 11, 701, 231, 2907, 5555, 16159, 1249, 38049, 40115}},
+{11660, 17, 50505, {1, 1, 5, 15, 23, 37, 47, 221, 465, 631, 57, 1189, 2083, 6561, 10725, 8015, 21231}},
+{11661, 17, 50514, {1, 3, 7, 5, 9, 25, 31, 47, 139, 639, 999, 2909, 39, 16227, 16967, 30555, 125541}},
+{11662, 17, 50516, {1, 3, 3, 9, 5, 3, 9, 9, 43, 999, 159, 3063, 3661, 7089, 28929, 55305, 105521}},
+{11663, 17, 50536, {1, 3, 1, 11, 17, 7, 3, 57, 457, 753, 135, 3721, 1111, 7267, 12603, 50511, 85433}},
+{11664, 17, 50547, {1, 3, 5, 1, 27, 3, 107, 187, 247, 891, 1311, 423, 1767, 14769, 22119, 36225, 94267}},
+{11665, 17, 50566, {1, 3, 5, 15, 1, 13, 65, 35, 435, 557, 1755, 1343, 2647, 179, 7781, 62903, 18741}},
+{11666, 17, 50572, {1, 1, 7, 15, 29, 57, 63, 227, 407, 163, 1207, 2717, 2731, 1737, 6379, 14937, 46683}},
+{11667, 17, 50583, {1, 1, 1, 9, 25, 35, 93, 1, 77, 677, 875, 3787, 3075, 14033, 23017, 3487, 14999}},
+{11668, 17, 50593, {1, 3, 3, 9, 3, 45, 115, 61, 437, 823, 1401, 459, 301, 5519, 31003, 64499, 1757}},
+{11669, 17, 50599, {1, 3, 1, 11, 23, 37, 69, 215, 197, 961, 1501, 2953, 3679, 6775, 24679, 44215, 52357}},
+{11670, 17, 50613, {1, 3, 1, 15, 29, 23, 1, 133, 451, 677, 687, 1269, 5987, 11975, 11929, 63691, 48683}},
+{11671, 17, 50617, {1, 1, 1, 7, 13, 31, 13, 71, 355, 345, 1193, 3421, 7601, 7413, 6719, 28681, 97605}},
+{11672, 17, 50618, {1, 1, 5, 13, 23, 3, 15, 253, 109, 17, 341, 471, 1131, 14901, 31783, 41369, 64139}},
+{11673, 17, 50620, {1, 1, 3, 1, 25, 25, 85, 157, 443, 83, 269, 3789, 7977, 7783, 28433, 30563, 82805}},
+{11674, 17, 50628, {1, 1, 7, 5, 3, 11, 83, 63, 253, 349, 217, 2733, 4183, 2759, 7617, 41749, 14015}},
+{11675, 17, 50638, {1, 1, 5, 7, 7, 7, 91, 201, 449, 247, 889, 3829, 3529, 14253, 24091, 33521, 6049}},
+{11676, 17, 50652, {1, 1, 3, 7, 25, 7, 123, 161, 227, 965, 511, 619, 4359, 11833, 12859, 26091, 3867}},
+{11677, 17, 50655, {1, 1, 7, 9, 5, 41, 71, 111, 95, 261, 1809, 3835, 7625, 12085, 28885, 64829, 48981}},
+{11678, 17, 50662, {1, 1, 5, 3, 13, 55, 57, 79, 457, 785, 653, 1429, 3879, 13559, 3953, 18205, 5777}},
+{11679, 17, 50665, {1, 3, 5, 9, 23, 25, 107, 255, 151, 191, 119, 3367, 1081, 12691, 3575, 38171, 42573}},
+{11680, 17, 50673, {1, 1, 7, 15, 3, 23, 115, 233, 265, 187, 1961, 1303, 5101, 1035, 6803, 14557, 4527}},
+{11681, 17, 50683, {1, 1, 3, 11, 19, 37, 45, 167, 17, 793, 1361, 3571, 5889, 14421, 20453, 5093, 59927}},
+{11682, 17, 50689, {1, 1, 7, 15, 3, 53, 1, 11, 159, 389, 171, 2351, 7189, 3109, 1541, 53595, 24247}},
+{11683, 17, 50690, {1, 1, 7, 1, 7, 43, 75, 175, 253, 687, 1811, 3277, 447, 8711, 14281, 53265, 7379}},
+{11684, 17, 50692, {1, 1, 5, 3, 21, 45, 113, 25, 309, 31, 1765, 305, 1423, 115, 26421, 50267, 122115}},
+{11685, 17, 50696, {1, 3, 5, 13, 15, 47, 17, 17, 445, 775, 243, 3959, 7263, 9375, 12017, 57399, 58203}},
+{11686, 17, 50704, {1, 3, 3, 1, 31, 37, 37, 213, 125, 929, 243, 1011, 2841, 4499, 16961, 12639, 23381}},
+{11687, 17, 50713, {1, 3, 1, 3, 7, 53, 31, 165, 311, 239, 731, 1759, 1769, 203, 23201, 20267, 33381}},
+{11688, 17, 50719, {1, 3, 3, 11, 1, 1, 73, 57, 497, 693, 693, 861, 5587, 16307, 8559, 28785, 91147}},
+{11689, 17, 50738, {1, 3, 1, 3, 11, 61, 11, 241, 473, 479, 1831, 1771, 25, 10217, 32683, 40165, 98433}},
+{11690, 17, 50757, {1, 1, 5, 3, 17, 51, 39, 27, 189, 631, 689, 2849, 1849, 9143, 19263, 32729, 23031}},
+{11691, 17, 50761, {1, 1, 5, 9, 15, 39, 103, 83, 485, 689, 1561, 55, 5219, 12069, 32225, 7781, 114299}},
+{11692, 17, 50764, {1, 1, 1, 1, 31, 49, 71, 145, 485, 907, 1551, 3931, 4081, 2159, 24747, 6953, 15887}},
+{11693, 17, 50770, {1, 1, 3, 7, 27, 61, 57, 153, 15, 881, 271, 267, 5827, 7625, 18179, 3769, 42211}},
+{11694, 17, 50776, {1, 3, 1, 3, 21, 49, 65, 177, 341, 851, 1825, 3347, 113, 8077, 1117, 9463, 115821}},
+{11695, 17, 50803, {1, 3, 5, 11, 27, 17, 75, 35, 475, 389, 313, 2187, 7005, 911, 21921, 10979, 13705}},
+{11696, 17, 50805, {1, 1, 5, 9, 1, 49, 15, 21, 163, 355, 193, 3473, 4451, 5325, 28343, 251, 125963}},
+{11697, 17, 50806, {1, 3, 7, 1, 9, 63, 9, 129, 453, 887, 1841, 597, 1989, 14755, 7847, 7581, 251}},
+{11698, 17, 50816, {1, 3, 7, 13, 31, 15, 123, 3, 427, 101, 1039, 1355, 3653, 2871, 28937, 31243, 108827}},
+{11699, 17, 50826, {1, 3, 7, 13, 3, 17, 71, 243, 145, 747, 1933, 1105, 455, 6355, 20321, 60075, 31575}},
+{11700, 17, 50840, {1, 3, 5, 5, 11, 25, 95, 85, 461, 459, 313, 173, 1413, 15761, 31481, 63793, 29047}},
+{11701, 17, 50845, {1, 3, 7, 7, 3, 5, 3, 95, 107, 995, 1203, 2965, 2419, 5325, 17667, 40205, 91059}},
+{11702, 17, 50852, {1, 1, 3, 9, 25, 3, 113, 79, 359, 69, 93, 1539, 483, 12701, 19075, 35021, 17929}},
+{11703, 17, 50855, {1, 3, 5, 1, 31, 35, 67, 97, 105, 381, 973, 1355, 3901, 3847, 12343, 64309, 29835}},
+{11704, 17, 50862, {1, 3, 7, 1, 11, 33, 117, 237, 449, 101, 317, 23, 5157, 8187, 28839, 29465, 97485}},
+{11705, 17, 50876, {1, 3, 5, 5, 1, 49, 93, 71, 89, 607, 1143, 3271, 5825, 8529, 18479, 23859, 40571}},
+{11706, 17, 50879, {1, 3, 1, 3, 13, 35, 79, 9, 315, 943, 1199, 1521, 2023, 11745, 8273, 27643, 89545}},
+{11707, 17, 50882, {1, 3, 5, 1, 21, 3, 15, 111, 19, 895, 1539, 3331, 6741, 9087, 5231, 13435, 60645}},
+{11708, 17, 50894, {1, 3, 1, 9, 25, 9, 109, 253, 263, 425, 915, 1955, 659, 6249, 11803, 34523, 22645}},
+{11709, 17, 50899, {1, 1, 1, 9, 15, 23, 13, 79, 369, 689, 565, 743, 3897, 8837, 13753, 17213, 86801}},
+{11710, 17, 50905, {1, 1, 1, 5, 31, 27, 111, 231, 25, 617, 897, 1325, 4885, 5731, 2027, 34639, 67863}},
+{11711, 17, 50924, {1, 1, 3, 13, 1, 9, 29, 23, 95, 113, 1035, 2729, 6555, 335, 24795, 35387, 31301}},
+{11712, 17, 50936, {1, 1, 1, 7, 3, 53, 91, 143, 167, 773, 207, 31, 4993, 7953, 26997, 40031, 113939}},
+{11713, 17, 50944, {1, 1, 3, 5, 17, 43, 121, 231, 411, 575, 1621, 3079, 535, 3313, 19443, 58271, 54207}},
+{11714, 17, 50973, {1, 1, 1, 7, 11, 41, 61, 81, 97, 91, 1987, 981, 3745, 819, 23785, 48331, 63761}},
+{11715, 17, 50974, {1, 1, 5, 13, 7, 29, 25, 73, 355, 669, 241, 65, 2249, 5551, 5217, 58573, 34049}},
+{11716, 17, 51002, {1, 1, 7, 11, 1, 45, 125, 107, 127, 639, 1989, 2727, 2103, 8985, 30249, 40037, 40931}},
+{11717, 17, 51007, {1, 1, 5, 13, 21, 59, 99, 131, 359, 615, 665, 577, 2559, 3555, 11355, 26213, 76427}},
+{11718, 17, 51009, {1, 3, 3, 1, 19, 9, 85, 111, 381, 661, 561, 3419, 1355, 8473, 329, 4989, 9087}},
+{11719, 17, 51029, {1, 1, 7, 5, 11, 23, 33, 95, 343, 9, 1579, 2663, 6245, 267, 7187, 25381, 103181}},
+{11720, 17, 51036, {1, 1, 7, 11, 23, 7, 113, 49, 89, 587, 1221, 409, 873, 15531, 2721, 44519, 25349}},
+{11721, 17, 51063, {1, 3, 3, 1, 17, 17, 45, 239, 453, 639, 1433, 2829, 6009, 12447, 9393, 59979, 93343}},
+{11722, 17, 51067, {1, 1, 3, 15, 19, 61, 125, 101, 219, 327, 1551, 1623, 951, 8379, 21009, 64089, 21891}},
+{11723, 17, 51070, {1, 1, 5, 7, 23, 5, 111, 43, 57, 71, 407, 4027, 4869, 12033, 19941, 51969, 120115}},
+{11724, 17, 51074, {1, 3, 7, 15, 17, 49, 31, 145, 185, 169, 1559, 4011, 5293, 7559, 23487, 12213, 2757}},
+{11725, 17, 51079, {1, 3, 7, 3, 3, 59, 119, 3, 509, 539, 1623, 539, 1405, 3913, 213, 30293, 68497}},
+{11726, 17, 51083, {1, 1, 1, 9, 15, 43, 67, 171, 397, 233, 379, 1681, 6877, 9169, 19667, 1971, 115347}},
+{11727, 17, 51093, {1, 1, 5, 15, 1, 45, 25, 133, 99, 181, 1825, 3485, 5633, 4629, 30181, 15761, 87161}},
+{11728, 17, 51094, {1, 1, 5, 3, 5, 55, 97, 117, 303, 591, 733, 3631, 4305, 169, 5361, 64491, 71793}},
+{11729, 17, 51124, {1, 1, 5, 11, 19, 9, 5, 147, 223, 51, 1763, 3899, 7393, 8107, 19619, 60509, 61427}},
+{11730, 17, 51131, {1, 1, 1, 15, 15, 3, 103, 15, 423, 649, 613, 1387, 6229, 4147, 17517, 225, 35697}},
+{11731, 17, 51151, {1, 3, 1, 3, 21, 57, 77, 193, 203, 649, 631, 3753, 4259, 3983, 27707, 33623, 83857}},
+{11732, 17, 51153, {1, 3, 3, 5, 11, 37, 95, 201, 83, 643, 1639, 153, 7683, 15249, 23859, 27021, 43321}},
+{11733, 17, 51156, {1, 3, 5, 13, 23, 31, 69, 215, 303, 433, 1325, 1013, 2903, 12659, 3813, 34497, 59651}},
+{11734, 17, 51165, {1, 3, 1, 9, 15, 39, 113, 253, 173, 393, 19, 2343, 2939, 8871, 29741, 2141, 121675}},
+{11735, 17, 51175, {1, 1, 7, 9, 7, 9, 91, 211, 169, 299, 507, 2849, 1321, 15397, 23949, 32387, 108691}},
+{11736, 17, 51184, {1, 1, 7, 13, 1, 21, 119, 127, 229, 253, 39, 323, 1831, 121, 17385, 45511, 43743}},
+{11737, 17, 51187, {1, 1, 1, 15, 25, 25, 97, 209, 375, 945, 1343, 2205, 1701, 13085, 25547, 55555, 129395}},
+{11738, 17, 51203, {1, 1, 1, 5, 31, 25, 91, 255, 163, 169, 703, 1607, 4731, 7413, 10013, 10925, 109151}},
+{11739, 17, 51220, {1, 3, 3, 9, 15, 47, 71, 219, 9, 37, 231, 3227, 3447, 8129, 23421, 30113, 120725}},
+{11740, 17, 51224, {1, 3, 3, 11, 15, 47, 93, 203, 299, 865, 151, 3999, 1245, 8487, 13355, 27373, 93583}},
+{11741, 17, 51233, {1, 3, 7, 5, 13, 7, 97, 81, 271, 95, 513, 365, 5039, 403, 5285, 29475, 129347}},
+{11742, 17, 51234, {1, 1, 7, 7, 9, 27, 25, 207, 161, 785, 1453, 3031, 763, 2313, 29347, 61457, 52561}},
+{11743, 17, 51239, {1, 3, 3, 11, 25, 25, 39, 61, 165, 803, 1435, 3643, 299, 13751, 24239, 53955, 94889}},
+{11744, 17, 51246, {1, 3, 5, 9, 9, 13, 63, 221, 123, 947, 905, 913, 953, 7429, 25409, 43017, 2217}},
+{11745, 17, 51248, {1, 1, 3, 3, 31, 19, 107, 211, 503, 675, 1921, 3027, 1273, 5699, 20683, 55605, 119803}},
+{11746, 17, 51251, {1, 1, 3, 3, 9, 17, 115, 183, 325, 259, 2013, 1505, 6999, 11573, 5315, 18731, 9405}},
+{11747, 17, 51257, {1, 3, 1, 5, 29, 37, 81, 145, 5, 851, 1803, 2011, 6655, 3601, 11325, 17137, 68501}},
+{11748, 17, 51266, {1, 3, 5, 1, 25, 51, 111, 19, 75, 765, 1843, 139, 7253, 12967, 13387, 48631, 124881}},
+{11749, 17, 51280, {1, 3, 3, 7, 15, 29, 7, 231, 13, 901, 1913, 3817, 3993, 3049, 32367, 4201, 90837}},
+{11750, 17, 51285, {1, 3, 1, 11, 27, 5, 109, 57, 81, 147, 1141, 2153, 5255, 6367, 189, 5959, 88843}},
+{11751, 17, 51286, {1, 3, 5, 5, 19, 35, 17, 149, 407, 889, 1583, 1727, 465, 10785, 6043, 21785, 80935}},
+{11752, 17, 51289, {1, 1, 3, 7, 15, 21, 105, 249, 427, 491, 923, 3189, 8103, 3875, 18347, 35799, 36703}},
+{11753, 17, 51295, {1, 1, 3, 15, 3, 45, 93, 197, 265, 309, 1909, 1635, 1743, 9499, 21897, 36889, 67449}},
+{11754, 17, 51296, {1, 3, 1, 11, 15, 57, 31, 231, 363, 879, 1377, 1941, 6969, 10721, 21933, 33419, 102939}},
+{11755, 17, 51311, {1, 1, 3, 9, 3, 57, 49, 51, 71, 991, 885, 1367, 2937, 9301, 29893, 9867, 113711}},
+{11756, 17, 51329, {1, 3, 7, 7, 11, 59, 123, 247, 51, 659, 1323, 3371, 3417, 12295, 2021, 62753, 28059}},
+{11757, 17, 51350, {1, 1, 7, 11, 3, 57, 53, 1, 203, 287, 219, 3531, 1365, 6235, 30187, 4479, 29567}},
+{11758, 17, 51356, {1, 1, 7, 9, 5, 41, 41, 39, 137, 495, 149, 2421, 7365, 11381, 25403, 16063, 47491}},
+{11759, 17, 51363, {1, 1, 5, 13, 25, 25, 47, 25, 213, 661, 1345, 883, 7573, 3291, 21303, 8033, 102639}},
+{11760, 17, 51365, {1, 1, 5, 3, 9, 49, 75, 221, 455, 139, 1533, 3155, 1023, 7249, 10129, 63165, 1713}},
+{11761, 17, 51370, {1, 3, 5, 11, 17, 1, 23, 241, 83, 359, 1243, 2791, 2975, 6271, 19035, 55057, 7625}},
+{11762, 17, 51372, {1, 3, 1, 9, 17, 61, 109, 255, 447, 939, 899, 551, 7049, 4247, 17333, 43369, 30105}},
+{11763, 17, 51377, {1, 1, 3, 5, 3, 31, 79, 39, 225, 605, 1893, 3523, 5391, 6879, 18619, 2339, 108295}},
+{11764, 17, 51383, {1, 1, 5, 1, 29, 15, 123, 39, 239, 57, 843, 2799, 4755, 4993, 23383, 45559, 48359}},
+{11765, 17, 51384, {1, 1, 5, 5, 7, 5, 99, 1, 351, 213, 1061, 721, 343, 16071, 29641, 55607, 76727}},
+{11766, 17, 51397, {1, 3, 1, 7, 9, 9, 15, 25, 87, 595, 71, 3769, 2583, 10105, 28639, 48899, 49753}},
+{11767, 17, 51407, {1, 3, 5, 3, 31, 29, 99, 77, 323, 615, 581, 1725, 2471, 16263, 4903, 205, 55441}},
+{11768, 17, 51422, {1, 1, 5, 11, 17, 53, 47, 53, 125, 717, 867, 1251, 4009, 13981, 10165, 4769, 117431}},
+{11769, 17, 51435, {1, 1, 3, 7, 7, 19, 119, 27, 163, 11, 693, 3197, 3981, 12591, 26017, 62113, 48391}},
+{11770, 17, 51440, {1, 1, 3, 15, 13, 17, 13, 81, 19, 821, 677, 233, 5227, 14855, 18269, 18895, 90041}},
+{11771, 17, 51446, {1, 1, 3, 9, 27, 61, 125, 221, 415, 183, 1137, 1879, 3451, 3599, 27317, 53449, 35499}},
+{11772, 17, 51463, {1, 3, 3, 15, 3, 27, 53, 93, 17, 405, 373, 2531, 3121, 2299, 1593, 34623, 102389}},
+{11773, 17, 51467, {1, 1, 1, 11, 23, 19, 85, 87, 209, 17, 1805, 4067, 7401, 6097, 5865, 61383, 42971}},
+{11774, 17, 51491, {1, 1, 7, 9, 29, 43, 99, 125, 385, 347, 97, 1121, 1533, 10545, 17383, 48649, 78443}},
+{11775, 17, 51493, {1, 3, 3, 13, 7, 9, 95, 105, 463, 911, 357, 423, 5701, 2389, 16307, 17817, 108775}},
+{11776, 17, 51494, {1, 3, 5, 11, 21, 21, 79, 53, 511, 995, 1709, 1715, 6031, 10507, 10735, 48817, 28569}},
+{11777, 17, 51508, {1, 3, 5, 7, 31, 49, 43, 109, 267, 981, 1529, 3611, 3379, 1295, 27489, 46721, 58423}},
+{11778, 17, 51518, {1, 3, 3, 11, 3, 31, 21, 3, 79, 31, 1885, 3029, 6337, 15457, 8995, 9955, 95019}},
+{11779, 17, 51520, {1, 1, 7, 13, 9, 9, 77, 73, 111, 769, 813, 1599, 5925, 1063, 12151, 54125, 67723}},
+{11780, 17, 51526, {1, 1, 1, 7, 13, 5, 43, 201, 379, 199, 769, 3227, 3995, 1543, 21903, 10651, 122007}},
+{11781, 17, 51529, {1, 3, 7, 13, 11, 53, 83, 201, 231, 137, 617, 2395, 2513, 6659, 9387, 15653, 96927}},
+{11782, 17, 51530, {1, 3, 1, 13, 29, 19, 97, 57, 231, 985, 805, 1169, 831, 15867, 20195, 53533, 99735}},
+{11783, 17, 51537, {1, 1, 3, 13, 19, 15, 19, 39, 99, 31, 421, 755, 7439, 4927, 19893, 15449, 47937}},
+{11784, 17, 51547, {1, 3, 3, 9, 1, 17, 71, 37, 289, 537, 69, 3687, 6537, 12295, 28403, 6627, 72991}},
+{11785, 17, 51559, {1, 3, 3, 15, 31, 53, 21, 223, 451, 309, 895, 3923, 3149, 5167, 1979, 31425, 53485}},
+{11786, 17, 51565, {1, 3, 1, 1, 29, 7, 5, 197, 445, 455, 185, 633, 897, 4561, 28833, 39477, 46665}},
+{11787, 17, 51568, {1, 1, 3, 9, 29, 19, 45, 239, 323, 1005, 101, 2083, 7403, 10401, 987, 32301, 58141}},
+{11788, 17, 51580, {1, 3, 3, 5, 31, 17, 7, 141, 245, 301, 1607, 3381, 7517, 6663, 6327, 15321, 19963}},
+{11789, 17, 51583, {1, 1, 7, 5, 5, 37, 109, 31, 285, 767, 1689, 2961, 5511, 15415, 32011, 14889, 7237}},
+{11790, 17, 51584, {1, 1, 3, 7, 31, 35, 47, 157, 407, 719, 1213, 1241, 2475, 10321, 11547, 52641, 21603}},
+{11791, 17, 51593, {1, 1, 1, 7, 5, 45, 35, 137, 403, 321, 1151, 529, 6297, 3059, 27791, 18387, 101431}},
+{11792, 17, 51594, {1, 1, 3, 11, 21, 19, 97, 121, 377, 325, 741, 1601, 1115, 6233, 19089, 40491, 53259}},
+{11793, 17, 51607, {1, 1, 1, 9, 3, 13, 83, 243, 443, 91, 1455, 1875, 3327, 7245, 12735, 14943, 44163}},
+{11794, 17, 51608, {1, 3, 5, 11, 1, 15, 107, 211, 25, 125, 623, 1319, 6133, 12177, 1377, 32547, 110919}},
+{11795, 17, 51620, {1, 1, 3, 3, 7, 39, 23, 99, 433, 581, 53, 3421, 733, 12767, 23595, 22957, 88821}},
+{11796, 17, 51624, {1, 1, 1, 13, 5, 53, 103, 127, 409, 379, 1155, 3097, 6529, 11685, 22147, 46003, 59771}},
+{11797, 17, 51642, {1, 3, 3, 3, 15, 37, 9, 67, 237, 79, 697, 1943, 1021, 3217, 16013, 14727, 105729}},
+{11798, 17, 51649, {1, 1, 7, 1, 9, 43, 55, 79, 63, 553, 871, 2881, 6487, 4667, 24263, 41995, 60907}},
+{11799, 17, 51652, {1, 1, 7, 7, 23, 31, 55, 23, 451, 593, 85, 43, 965, 12491, 15121, 16129, 90639}},
+{11800, 17, 51659, {1, 1, 7, 13, 11, 53, 21, 123, 237, 147, 511, 2105, 5961, 4465, 4015, 19069, 89203}},
+{11801, 17, 51661, {1, 3, 5, 1, 1, 39, 59, 239, 391, 91, 923, 85, 1047, 1489, 31119, 58485, 129171}},
+{11802, 17, 51670, {1, 3, 5, 13, 3, 21, 35, 205, 219, 795, 901, 2465, 5887, 275, 22003, 29659, 50589}},
+{11803, 17, 51674, {1, 3, 1, 5, 1, 35, 127, 147, 159, 791, 1643, 1811, 1199, 3851, 9681, 19845, 127075}},
+{11804, 17, 51698, {1, 3, 3, 7, 17, 19, 13, 223, 395, 971, 125, 181, 4455, 13305, 30433, 46161, 122277}},
+{11805, 17, 51707, {1, 3, 1, 3, 19, 1, 15, 71, 425, 459, 655, 2251, 5525, 7611, 5819, 1255, 43107}},
+{11806, 17, 51725, {1, 1, 5, 15, 3, 9, 83, 191, 439, 663, 399, 2263, 1857, 15421, 2079, 2381, 59193}},
+{11807, 17, 51737, {1, 3, 5, 5, 1, 7, 9, 77, 347, 419, 1329, 3173, 7295, 3631, 13435, 3217, 18053}},
+{11808, 17, 51753, {1, 3, 3, 7, 29, 39, 35, 71, 119, 745, 603, 2247, 377, 3297, 30983, 27857, 105739}},
+{11809, 17, 51754, {1, 1, 5, 13, 9, 59, 57, 239, 247, 921, 1383, 2315, 241, 4435, 24661, 6129, 122727}},
+{11810, 17, 51779, {1, 1, 5, 7, 3, 15, 39, 165, 27, 803, 609, 3081, 6009, 12665, 24155, 51647, 3857}},
+{11811, 17, 51791, {1, 3, 5, 11, 27, 41, 61, 255, 195, 169, 557, 1739, 4029, 1791, 471, 16321, 49801}},
+{11812, 17, 51796, {1, 3, 7, 13, 17, 45, 35, 177, 109, 113, 551, 219, 4065, 303, 15489, 25427, 12349}},
+{11813, 17, 51809, {1, 3, 5, 5, 25, 15, 79, 165, 231, 867, 483, 3563, 6611, 11277, 3193, 37455, 127373}},
+{11814, 17, 51816, {1, 3, 3, 11, 25, 21, 47, 255, 27, 543, 485, 2675, 5893, 3029, 3857, 50967, 14681}},
+{11815, 17, 51819, {1, 3, 7, 11, 3, 23, 81, 135, 77, 227, 417, 1733, 5175, 15295, 15985, 50329, 48641}},
+{11816, 17, 51827, {1, 3, 5, 1, 3, 47, 33, 67, 201, 235, 1299, 3703, 1959, 8091, 11115, 10869, 9595}},
+{11817, 17, 51829, {1, 3, 7, 13, 1, 45, 61, 49, 471, 923, 1827, 2175, 1433, 3473, 3781, 7923, 121525}},
+{11818, 17, 51834, {1, 3, 5, 7, 25, 59, 113, 19, 415, 839, 167, 3549, 7435, 6573, 767, 2751, 18383}},
+{11819, 17, 51836, {1, 3, 3, 1, 5, 11, 125, 241, 395, 423, 955, 2551, 963, 8197, 30253, 10473, 28505}},
+{11820, 17, 51846, {1, 1, 1, 3, 5, 31, 69, 103, 153, 505, 1507, 2827, 165, 4943, 8343, 54253, 87593}},
+{11821, 17, 51849, {1, 3, 3, 1, 7, 37, 27, 75, 251, 623, 965, 1907, 6063, 761, 765, 10103, 43479}},
+{11822, 17, 51855, {1, 1, 1, 13, 7, 21, 53, 219, 267, 57, 959, 579, 2951, 13797, 3249, 29895, 47467}},
+{11823, 17, 51858, {1, 1, 5, 9, 13, 7, 85, 107, 3, 635, 1235, 1339, 3263, 3895, 25911, 7521, 34149}},
+{11824, 17, 51869, {1, 1, 5, 15, 29, 37, 73, 43, 413, 993, 499, 719, 1557, 14397, 11245, 58197, 127901}},
+{11825, 17, 51870, {1, 1, 5, 15, 9, 37, 87, 57, 63, 337, 927, 1887, 6407, 11237, 23233, 53567, 120449}},
+{11826, 17, 51874, {1, 1, 3, 7, 27, 11, 85, 227, 159, 849, 647, 1977, 4623, 7343, 8089, 4251, 26609}},
+{11827, 17, 51918, {1, 1, 5, 11, 11, 3, 105, 191, 189, 627, 367, 3935, 6647, 13069, 26195, 23137, 56427}},
+{11828, 17, 51926, {1, 1, 3, 3, 29, 51, 39, 3, 437, 1011, 1061, 1747, 3051, 11165, 8155, 9723, 41035}},
+{11829, 17, 51932, {1, 3, 7, 15, 9, 43, 79, 195, 265, 395, 1349, 337, 911, 15767, 3593, 42859, 70181}},
+{11830, 17, 51936, {1, 3, 7, 7, 11, 47, 11, 85, 489, 801, 1177, 3861, 3517, 9209, 27505, 12291, 35691}},
+{11831, 17, 51948, {1, 1, 3, 9, 15, 61, 71, 123, 287, 419, 1079, 3489, 3519, 12739, 21341, 24323, 33961}},
+{11832, 17, 51954, {1, 3, 7, 3, 9, 17, 119, 137, 389, 391, 601, 1875, 2197, 5271, 13289, 43597, 43279}},
+{11833, 17, 51959, {1, 3, 7, 15, 29, 35, 41, 171, 183, 701, 1673, 981, 5479, 21, 11353, 64953, 88189}},
+{11834, 17, 51971, {1, 3, 3, 13, 15, 35, 35, 81, 297, 245, 475, 393, 5401, 12369, 21129, 65213, 125013}},
+{11835, 17, 51983, {1, 1, 7, 13, 15, 57, 25, 143, 389, 111, 1219, 2195, 769, 9005, 10367, 39435, 3631}},
+{11836, 17, 51992, {1, 3, 3, 13, 9, 29, 9, 47, 127, 377, 1195, 1221, 5751, 15481, 10537, 29909, 112691}},
+{11837, 17, 51997, {1, 1, 3, 5, 17, 47, 29, 1, 299, 651, 1023, 1601, 5917, 3781, 18421, 42393, 51789}},
+{11838, 17, 52016, {1, 3, 3, 15, 31, 51, 101, 147, 367, 159, 359, 705, 3773, 8649, 31373, 5733, 58287}},
+{11839, 17, 52021, {1, 3, 5, 11, 11, 51, 55, 79, 147, 917, 1945, 1725, 289, 12777, 30099, 3013, 91527}},
+{11840, 17, 52031, {1, 1, 7, 13, 1, 51, 33, 27, 169, 573, 117, 2479, 761, 1283, 32723, 13589, 88821}},
+{11841, 17, 52033, {1, 1, 1, 3, 23, 13, 33, 207, 137, 391, 1309, 4093, 6889, 827, 9331, 57113, 110193}},
+{11842, 17, 52034, {1, 1, 1, 13, 15, 57, 115, 53, 59, 443, 1, 3545, 6923, 6603, 8631, 41703, 8519}},
+{11843, 17, 52048, {1, 1, 5, 5, 25, 29, 53, 153, 107, 423, 1829, 2469, 1843, 889, 31727, 20701, 6343}},
+{11844, 17, 52053, {1, 1, 7, 13, 11, 41, 7, 219, 77, 663, 329, 2639, 1111, 1293, 16771, 20731, 46973}},
+{11845, 17, 52057, {1, 3, 3, 15, 23, 19, 45, 107, 111, 155, 1595, 1821, 471, 6089, 21587, 49259, 85393}},
+{11846, 17, 52067, {1, 3, 1, 3, 27, 21, 39, 227, 359, 885, 449, 2615, 3519, 5377, 16017, 57159, 82399}},
+{11847, 17, 52076, {1, 3, 3, 15, 31, 33, 77, 33, 87, 821, 701, 2859, 1777, 3007, 16757, 5447, 3557}},
+{11848, 17, 52079, {1, 1, 1, 15, 11, 31, 127, 79, 363, 341, 169, 3451, 6351, 6867, 13511, 833, 103151}},
+{11849, 17, 52081, {1, 3, 5, 7, 27, 23, 5, 67, 159, 535, 103, 843, 8187, 6891, 19169, 22565, 95255}},
+{11850, 17, 52109, {1, 3, 5, 5, 15, 27, 53, 49, 343, 815, 1203, 1031, 6359, 1337, 1629, 47783, 103391}},
+{11851, 17, 52127, {1, 3, 1, 1, 13, 19, 51, 185, 45, 549, 619, 2247, 2541, 10421, 31507, 60785, 87139}},
+{11852, 17, 52128, {1, 3, 1, 15, 29, 9, 47, 127, 41, 767, 1375, 2183, 7169, 12855, 15021, 377, 69327}},
+{11853, 17, 52133, {1, 1, 3, 9, 5, 23, 23, 203, 101, 809, 1155, 2885, 3901, 3081, 1827, 65373, 106133}},
+{11854, 17, 52148, {1, 3, 3, 13, 3, 21, 73, 135, 353, 905, 1757, 1361, 3801, 15541, 2261, 17159, 18037}},
+{11855, 17, 52155, {1, 1, 7, 7, 27, 23, 57, 33, 225, 407, 1709, 1159, 6353, 13341, 15883, 17339, 50423}},
+{11856, 17, 52157, {1, 1, 3, 15, 13, 21, 33, 91, 183, 975, 1623, 3187, 5495, 8947, 7031, 19687, 104483}},
+{11857, 17, 52172, {1, 3, 5, 7, 17, 25, 77, 1, 335, 85, 1783, 2617, 4463, 3807, 12883, 24487, 66205}},
+{11858, 17, 52178, {1, 1, 3, 15, 23, 37, 83, 93, 211, 757, 903, 2681, 49, 435, 21057, 63635, 36489}},
+{11859, 17, 52184, {1, 3, 1, 13, 3, 45, 63, 57, 65, 21, 627, 1467, 51, 15887, 27465, 59227, 108233}},
+{11860, 17, 52199, {1, 1, 7, 5, 15, 41, 53, 57, 301, 677, 803, 1675, 6937, 3159, 14281, 22355, 37783}},
+{11861, 17, 52200, {1, 1, 5, 13, 15, 43, 39, 245, 191, 875, 1505, 2085, 3903, 185, 24461, 28939, 98771}},
+{11862, 17, 52205, {1, 1, 7, 9, 17, 25, 29, 31, 439, 159, 533, 3177, 4155, 403, 23735, 61817, 121909}},
+{11863, 17, 52206, {1, 1, 3, 15, 29, 43, 111, 47, 483, 513, 63, 2423, 4979, 5159, 15499, 33391, 51575}},
+{11864, 17, 52232, {1, 1, 5, 15, 15, 43, 13, 41, 445, 929, 1365, 2023, 6173, 6067, 30969, 51457, 51179}},
+{11865, 17, 52237, {1, 3, 3, 11, 15, 17, 93, 235, 159, 599, 635, 1113, 1017, 7413, 7737, 20051, 79127}},
+{11866, 17, 52243, {1, 1, 1, 15, 5, 19, 81, 65, 479, 119, 1831, 2515, 2929, 15395, 31607, 29969, 49935}},
+{11867, 17, 52246, {1, 3, 1, 13, 23, 47, 45, 151, 51, 217, 803, 3265, 5907, 14371, 8287, 25659, 27655}},
+{11868, 17, 52252, {1, 1, 1, 13, 13, 53, 11, 63, 501, 487, 1683, 1147, 4693, 2761, 19359, 2215, 112393}},
+{11869, 17, 52261, {1, 3, 3, 1, 31, 15, 61, 237, 129, 119, 135, 39, 6509, 3753, 16997, 3841, 24521}},
+{11870, 17, 52265, {1, 3, 5, 7, 5, 27, 113, 251, 217, 923, 229, 2259, 5241, 6331, 6773, 41929, 89605}},
+{11871, 17, 52266, {1, 1, 5, 9, 17, 41, 21, 185, 95, 137, 1151, 195, 913, 531, 15731, 22893, 93521}},
+{11872, 17, 52273, {1, 1, 5, 1, 29, 57, 123, 11, 345, 581, 227, 1539, 7527, 8537, 16429, 8437, 18953}},
+{11873, 17, 52274, {1, 1, 3, 7, 7, 21, 103, 239, 115, 513, 1287, 3717, 331, 5453, 18943, 17247, 64975}},
+{11874, 17, 52288, {1, 3, 7, 11, 21, 37, 79, 83, 93, 155, 1297, 1371, 1109, 6569, 21137, 29237, 24007}},
+{11875, 17, 52300, {1, 1, 1, 13, 17, 11, 127, 89, 397, 497, 1017, 721, 2837, 5623, 31745, 52243, 107225}},
+{11876, 17, 52303, {1, 1, 7, 9, 15, 43, 29, 215, 449, 233, 313, 2587, 2903, 2735, 4539, 50481, 85279}},
+{11877, 17, 52321, {1, 1, 3, 15, 13, 35, 109, 211, 299, 255, 1595, 533, 1801, 13965, 25277, 52347, 13447}},
+{11878, 17, 52322, {1, 1, 1, 15, 9, 23, 115, 119, 207, 973, 1339, 1315, 6465, 9917, 4593, 65435, 2515}},
+{11879, 17, 52328, {1, 3, 3, 3, 7, 25, 115, 115, 213, 845, 1445, 1217, 1563, 12491, 5197, 44409, 79895}},
+{11880, 17, 52333, {1, 1, 1, 3, 9, 33, 31, 203, 19, 895, 1145, 2893, 4807, 7501, 6999, 54883, 13797}},
+{11881, 17, 52351, {1, 1, 3, 1, 19, 51, 73, 29, 451, 533, 83, 2477, 335, 9703, 9747, 57427, 69443}},
+{11882, 17, 52357, {1, 1, 7, 5, 21, 11, 53, 133, 165, 291, 591, 1419, 3661, 4697, 21363, 53467, 84063}},
+{11883, 17, 52372, {1, 1, 7, 3, 13, 7, 85, 49, 193, 289, 1531, 709, 2351, 12085, 28553, 57145, 129517}},
+{11884, 17, 52381, {1, 1, 1, 1, 17, 19, 13, 213, 75, 977, 811, 1813, 7293, 13795, 28569, 28133, 11949}},
+{11885, 17, 52386, {1, 1, 5, 1, 27, 11, 47, 89, 271, 65, 1651, 2331, 3289, 6227, 15027, 19959, 22945}},
+{11886, 17, 52395, {1, 3, 7, 9, 17, 37, 17, 245, 249, 501, 405, 951, 3005, 9757, 10265, 35575, 70529}},
+{11887, 17, 52403, {1, 3, 1, 15, 21, 47, 15, 75, 113, 45, 125, 1393, 3361, 13477, 24325, 39743, 67409}},
+{11888, 17, 52423, {1, 3, 5, 1, 13, 3, 33, 51, 463, 241, 1421, 1607, 3937, 3405, 26653, 33955, 97915}},
+{11889, 17, 52427, {1, 3, 7, 13, 29, 17, 41, 193, 461, 787, 459, 4019, 1887, 13831, 9387, 25215, 69801}},
+{11890, 17, 52432, {1, 3, 1, 11, 31, 55, 13, 235, 85, 953, 109, 233, 1893, 13225, 26165, 59237, 15845}},
+{11891, 17, 52438, {1, 1, 1, 13, 11, 43, 127, 193, 143, 831, 875, 2471, 7011, 3063, 21979, 42113, 80581}},
+{11892, 17, 52444, {1, 3, 7, 1, 5, 1, 63, 55, 349, 525, 441, 2695, 3301, 15737, 13355, 16727, 25001}},
+{11893, 17, 52457, {1, 3, 7, 7, 31, 23, 87, 99, 331, 101, 1341, 3, 1447, 9507, 18627, 2503, 57597}},
+{11894, 17, 52468, {1, 1, 1, 9, 11, 19, 89, 141, 269, 31, 1933, 429, 7765, 5905, 15327, 25913, 17281}},
+{11895, 17, 52480, {1, 3, 1, 9, 23, 61, 75, 15, 121, 635, 1409, 615, 7841, 11993, 1637, 26073, 70763}},
+{11896, 17, 52498, {1, 3, 3, 1, 5, 63, 85, 3, 443, 87, 1201, 275, 3457, 16187, 26839, 16593, 36335}},
+{11897, 17, 52516, {1, 1, 5, 5, 27, 61, 1, 145, 287, 563, 1135, 2703, 733, 10209, 3937, 23807, 56857}},
+{11898, 17, 52520, {1, 3, 3, 7, 1, 41, 97, 155, 305, 395, 1607, 1171, 1061, 12301, 8041, 12111, 66831}},
+{11899, 17, 52525, {1, 3, 7, 15, 9, 61, 127, 225, 125, 231, 87, 2433, 6951, 2999, 24859, 61685, 111943}},
+{11900, 17, 52531, {1, 3, 5, 15, 13, 39, 87, 57, 305, 469, 1929, 1559, 1383, 2779, 3883, 845, 45181}},
+{11901, 17, 52540, {1, 1, 1, 15, 19, 1, 23, 41, 207, 731, 501, 1147, 6543, 5011, 483, 56889, 48993}},
+{11902, 17, 52545, {1, 3, 3, 15, 21, 35, 75, 129, 441, 497, 953, 201, 6849, 2893, 6351, 62163, 84127}},
+{11903, 17, 52546, {1, 1, 1, 9, 21, 31, 91, 79, 345, 649, 1529, 805, 4931, 12887, 30167, 52305, 92561}},
+{11904, 17, 52552, {1, 1, 5, 1, 3, 21, 121, 223, 67, 185, 801, 889, 7443, 8419, 19929, 11451, 11487}},
+{11905, 17, 52557, {1, 1, 3, 15, 21, 51, 119, 31, 197, 773, 617, 2055, 799, 9105, 12353, 33635, 27589}},
+{11906, 17, 52569, {1, 3, 5, 3, 27, 11, 41, 105, 289, 877, 1175, 3111, 3161, 12537, 18001, 38061, 59089}},
+{11907, 17, 52575, {1, 3, 3, 5, 3, 27, 101, 253, 225, 915, 1757, 1601, 3391, 10443, 3983, 58427, 93391}},
+{11908, 17, 52582, {1, 3, 1, 7, 9, 43, 85, 115, 169, 285, 1267, 3791, 2701, 5599, 10099, 48105, 45219}},
+{11909, 17, 52594, {1, 1, 7, 13, 25, 57, 35, 223, 265, 451, 1913, 2715, 8017, 3725, 7079, 34611, 61159}},
+{11910, 17, 52615, {1, 1, 3, 7, 23, 27, 93, 195, 449, 845, 865, 655, 4263, 12743, 7467, 7929, 7095}},
+{11911, 17, 52619, {1, 3, 5, 5, 29, 51, 109, 123, 227, 693, 2033, 3829, 7187, 4027, 17861, 45093, 7355}},
+{11912, 17, 52624, {1, 1, 1, 11, 27, 31, 127, 75, 443, 479, 865, 1377, 711, 3791, 27235, 17405, 25975}},
+{11913, 17, 52645, {1, 3, 5, 7, 1, 49, 79, 167, 471, 453, 211, 265, 8163, 6517, 3413, 17283, 51961}},
+{11914, 17, 52663, {1, 3, 1, 5, 17, 29, 15, 239, 385, 239, 425, 2197, 3553, 14913, 14889, 31645, 67477}},
+{11915, 17, 52664, {1, 3, 3, 5, 1, 11, 25, 105, 367, 253, 1395, 2077, 2613, 4535, 18215, 37657, 48283}},
+{11916, 17, 52675, {1, 3, 3, 1, 1, 41, 7, 161, 437, 659, 833, 3175, 2063, 14497, 6655, 8817, 127321}},
+{11917, 17, 52687, {1, 3, 1, 11, 17, 27, 3, 51, 75, 183, 1889, 287, 5429, 14007, 14445, 47395, 94543}},
+{11918, 17, 52696, {1, 1, 7, 13, 29, 9, 109, 19, 73, 3, 1529, 457, 6413, 4113, 14733, 24455, 44623}},
+{11919, 17, 52701, {1, 3, 1, 15, 15, 31, 83, 25, 263, 229, 1801, 377, 1703, 8571, 10393, 52021, 100937}},
+{11920, 17, 52706, {1, 3, 5, 9, 25, 57, 79, 19, 117, 437, 275, 3439, 6393, 2111, 8317, 3521, 96927}},
+{11921, 17, 52708, {1, 3, 1, 13, 27, 43, 103, 171, 361, 949, 347, 809, 5819, 2763, 10447, 35129, 46985}},
+{11922, 17, 52711, {1, 3, 5, 11, 17, 1, 27, 37, 473, 851, 1057, 831, 4373, 5179, 18193, 48731, 64317}},
+{11923, 17, 52726, {1, 3, 1, 7, 17, 5, 19, 217, 439, 549, 1983, 2473, 6059, 5271, 10279, 7793, 114357}},
+{11924, 17, 52748, {1, 3, 1, 5, 25, 19, 99, 65, 507, 527, 825, 2517, 2299, 1725, 9913, 5779, 12207}},
+{11925, 17, 52754, {1, 3, 1, 1, 29, 41, 119, 27, 411, 475, 461, 1885, 2339, 4945, 24665, 13621, 78129}},
+{11926, 17, 52756, {1, 3, 1, 11, 27, 29, 119, 155, 487, 29, 1545, 675, 1417, 6119, 12451, 21345, 39377}},
+{11927, 17, 52759, {1, 1, 3, 7, 19, 5, 111, 227, 49, 307, 549, 737, 4793, 13885, 22971, 18653, 69573}},
+{11928, 17, 52769, {1, 3, 3, 1, 27, 59, 87, 7, 379, 497, 903, 591, 6105, 1957, 25849, 55957, 120181}},
+{11929, 17, 52784, {1, 3, 5, 15, 19, 31, 43, 1, 35, 341, 311, 1343, 3625, 16181, 31047, 59679, 89231}},
+{11930, 17, 52790, {1, 1, 1, 15, 21, 19, 93, 229, 49, 597, 1465, 2027, 5935, 12269, 20239, 17861, 26311}},
+{11931, 17, 52804, {1, 1, 1, 1, 3, 31, 115, 87, 129, 419, 871, 2469, 3807, 4473, 25025, 36923, 67959}},
+{11932, 17, 52807, {1, 1, 1, 3, 23, 31, 41, 247, 295, 369, 1131, 2183, 8097, 7609, 4387, 37565, 50177}},
+{11933, 17, 52808, {1, 3, 1, 11, 9, 17, 111, 249, 417, 775, 217, 1435, 6295, 5065, 2967, 55361, 91933}},
+{11934, 17, 52819, {1, 3, 5, 7, 19, 21, 71, 219, 411, 31, 335, 2915, 3687, 5691, 12405, 34659, 76721}},
+{11935, 17, 52826, {1, 3, 5, 13, 29, 31, 95, 203, 149, 399, 547, 2529, 2485, 3371, 20219, 33647, 34217}},
+{11936, 17, 52828, {1, 3, 5, 13, 31, 41, 97, 115, 427, 35, 1319, 2335, 715, 2541, 4507, 49395, 33895}},
+{11937, 17, 52832, {1, 3, 7, 15, 3, 49, 3, 49, 153, 93, 1343, 1035, 5685, 15855, 15751, 27663, 99553}},
+{11938, 17, 52835, {1, 1, 7, 5, 27, 7, 53, 135, 453, 981, 1767, 3503, 1259, 11973, 23259, 41051, 96593}},
+{11939, 17, 52849, {1, 1, 7, 9, 5, 59, 57, 141, 41, 639, 1681, 145, 7019, 6621, 14221, 12051, 71871}},
+{11940, 17, 52859, {1, 1, 3, 1, 13, 39, 7, 187, 7, 919, 1555, 2111, 6507, 2099, 10643, 22851, 82033}},
+{11941, 17, 52877, {1, 3, 7, 9, 25, 59, 27, 225, 239, 715, 1115, 2309, 7785, 11849, 8991, 54305, 107305}},
+{11942, 17, 52880, {1, 1, 7, 11, 21, 51, 1, 223, 481, 195, 2005, 2651, 6797, 12201, 11013, 1843, 65167}},
+{11943, 17, 52896, {1, 3, 3, 11, 27, 3, 117, 5, 255, 595, 399, 1329, 1437, 12061, 32679, 16655, 76235}},
+{11944, 17, 52899, {1, 1, 7, 13, 21, 1, 35, 159, 329, 37, 1247, 2663, 3889, 14603, 25799, 45363, 87963}},
+{11945, 17, 52905, {1, 1, 7, 7, 7, 11, 53, 215, 351, 329, 1039, 969, 4449, 14785, 28617, 25953, 78663}},
+{11946, 17, 52913, {1, 1, 7, 7, 27, 17, 19, 223, 143, 433, 789, 1941, 5527, 711, 25097, 4571, 121975}},
+{11947, 17, 52933, {1, 3, 1, 13, 11, 47, 31, 249, 325, 1003, 509, 2741, 3953, 1691, 12661, 16097, 80211}},
+{11948, 17, 52934, {1, 3, 7, 9, 27, 11, 21, 129, 25, 57, 1523, 3631, 2639, 2541, 14249, 34539, 70551}},
+{11949, 17, 52938, {1, 1, 5, 3, 31, 47, 47, 73, 71, 783, 1353, 2157, 2563, 14015, 997, 31611, 118649}},
+{11950, 17, 52957, {1, 1, 5, 5, 25, 35, 25, 207, 349, 503, 121, 3455, 5783, 10899, 12745, 35117, 36679}},
+{11951, 17, 52979, {1, 3, 1, 3, 11, 39, 123, 177, 19, 441, 1979, 1257, 1351, 4253, 15145, 44559, 59379}},
+{11952, 17, 52981, {1, 3, 7, 3, 7, 35, 41, 203, 439, 1013, 1055, 1165, 1043, 11183, 1795, 31253, 113693}},
+{11953, 17, 52986, {1, 3, 1, 13, 7, 43, 57, 1, 229, 345, 631, 841, 7923, 5971, 20489, 47917, 66833}},
+{11954, 17, 53005, {1, 1, 1, 15, 27, 5, 31, 117, 153, 755, 1207, 619, 8185, 4329, 9979, 57255, 79045}},
+{11955, 17, 53008, {1, 3, 3, 7, 23, 1, 7, 227, 337, 417, 1895, 765, 7799, 13599, 27253, 4485, 112391}},
+{11956, 17, 53024, {1, 3, 5, 13, 27, 63, 5, 87, 101, 351, 953, 2235, 1587, 5479, 26529, 34165, 83303}},
+{11957, 17, 53029, {1, 1, 5, 15, 1, 43, 63, 193, 143, 711, 1779, 3531, 1355, 16253, 14595, 32343, 131021}},
+{11958, 17, 53054, {1, 1, 1, 9, 29, 37, 29, 71, 11, 877, 1301, 2415, 5593, 1855, 25223, 6805, 12901}},
+{11959, 17, 53073, {1, 1, 7, 9, 31, 5, 49, 63, 185, 373, 129, 1695, 7841, 4477, 17809, 42771, 120221}},
+{11960, 17, 53083, {1, 1, 5, 3, 15, 43, 49, 45, 47, 775, 699, 2787, 7831, 4189, 18317, 63933, 83669}},
+{11961, 17, 53086, {1, 3, 5, 3, 23, 33, 85, 255, 119, 685, 1245, 1647, 1999, 13063, 9241, 49017, 32619}},
+{11962, 17, 53095, {1, 1, 7, 15, 29, 15, 125, 233, 189, 411, 1251, 3459, 7213, 10081, 4403, 56819, 17103}},
+{11963, 17, 53102, {1, 3, 3, 11, 21, 13, 93, 125, 213, 793, 1057, 2363, 661, 12213, 2259, 3787, 91451}},
+{11964, 17, 53107, {1, 3, 5, 5, 19, 35, 5, 153, 507, 691, 1743, 1777, 7579, 14229, 10155, 18529, 35945}},
+{11965, 17, 53126, {1, 3, 7, 5, 27, 35, 13, 77, 189, 793, 877, 643, 2787, 5817, 22589, 58363, 49059}},
+{11966, 17, 53130, {1, 3, 7, 9, 9, 37, 21, 251, 119, 895, 1023, 91, 4317, 10943, 7355, 36961, 36903}},
+{11967, 17, 53138, {1, 3, 3, 13, 19, 49, 15, 105, 399, 29, 1903, 3503, 3453, 15429, 31503, 57815, 34009}},
+{11968, 17, 53144, {1, 1, 5, 1, 19, 35, 49, 97, 335, 665, 1871, 887, 4713, 517, 9571, 41601, 9673}},
+{11969, 17, 53156, {1, 3, 5, 13, 29, 45, 111, 233, 251, 407, 1135, 2791, 6525, 11633, 22295, 65381, 117511}},
+{11970, 17, 53163, {1, 1, 3, 3, 17, 7, 65, 43, 391, 91, 315, 3559, 479, 7337, 25629, 785, 19855}},
+{11971, 17, 53165, {1, 1, 5, 9, 29, 31, 67, 17, 381, 875, 1001, 415, 2263, 4415, 11263, 309, 117623}},
+{11972, 17, 53173, {1, 1, 7, 11, 25, 1, 59, 61, 247, 649, 687, 907, 1037, 13935, 7229, 39769, 92755}},
+{11973, 17, 53177, {1, 3, 5, 15, 21, 51, 27, 79, 343, 785, 1567, 1349, 7991, 8531, 11243, 61351, 21297}},
+{11974, 17, 53183, {1, 1, 1, 3, 31, 41, 67, 169, 83, 959, 813, 1953, 2467, 12369, 31431, 50761, 75731}},
+{11975, 17, 53192, {1, 1, 5, 11, 25, 37, 83, 163, 3, 161, 1249, 3009, 7167, 5473, 10561, 44899, 130879}},
+{11976, 17, 53195, {1, 1, 7, 11, 9, 61, 61, 113, 81, 205, 731, 3887, 5525, 13415, 25181, 11557, 59343}},
+{11977, 17, 53200, {1, 3, 7, 5, 19, 27, 107, 89, 295, 715, 1439, 1285, 5813, 8895, 7233, 32905, 3273}},
+{11978, 17, 53212, {1, 1, 5, 1, 29, 11, 125, 253, 445, 295, 1721, 1271, 2203, 2215, 7613, 55655, 112157}},
+{11979, 17, 53219, {1, 1, 5, 11, 11, 13, 111, 55, 19, 551, 1365, 477, 2513, 12311, 22485, 23291, 92447}},
+{11980, 17, 53221, {1, 1, 7, 11, 9, 5, 3, 109, 507, 441, 1767, 1781, 3077, 219, 29293, 21237, 71159}},
+{11981, 17, 53245, {1, 1, 3, 11, 3, 45, 99, 113, 367, 569, 1907, 1281, 51, 13693, 14639, 32999, 77461}},
+{11982, 17, 53254, {1, 3, 5, 11, 5, 19, 97, 11, 473, 937, 1623, 1507, 3245, 9331, 16005, 37505, 40085}},
+{11983, 17, 53257, {1, 1, 7, 13, 21, 61, 103, 111, 35, 141, 61, 1043, 1989, 1311, 29021, 2617, 89915}},
+{11984, 17, 53265, {1, 3, 7, 15, 19, 31, 39, 175, 371, 459, 1293, 1645, 1125, 1199, 4811, 55721, 76071}},
+{11985, 17, 53266, {1, 1, 7, 3, 3, 35, 17, 7, 91, 317, 1615, 3559, 191, 2579, 15027, 58711, 36009}},
+{11986, 17, 53268, {1, 1, 1, 13, 1, 27, 45, 87, 443, 443, 853, 3917, 1437, 4053, 14861, 2897, 109853}},
+{11987, 17, 53275, {1, 1, 5, 3, 21, 47, 73, 195, 115, 517, 1781, 2341, 805, 5679, 12053, 29113, 100479}},
+{11988, 17, 53277, {1, 1, 7, 1, 25, 27, 61, 167, 203, 57, 527, 1071, 7131, 8403, 9943, 11503, 33081}},
+{11989, 17, 53284, {1, 1, 5, 13, 31, 43, 35, 195, 177, 229, 1401, 4011, 2363, 15787, 21125, 32103, 62337}},
+{11990, 17, 53294, {1, 1, 5, 11, 19, 13, 3, 249, 119, 35, 747, 1419, 5451, 13043, 19813, 54859, 94825}},
+{11991, 17, 53308, {1, 3, 1, 9, 17, 13, 51, 125, 391, 157, 1199, 1805, 1763, 11831, 20915, 38547, 14221}},
+{11992, 17, 53314, {1, 1, 7, 1, 23, 61, 25, 69, 435, 183, 1379, 1211, 5529, 9447, 4575, 14127, 91867}},
+{11993, 17, 53319, {1, 3, 3, 15, 11, 15, 101, 135, 419, 685, 1097, 787, 2045, 3393, 26221, 23653, 116917}},
+{11994, 17, 53326, {1, 3, 1, 11, 29, 23, 13, 153, 27, 683, 1569, 413, 261, 10291, 23763, 15579, 39337}},
+{11995, 17, 53328, {1, 3, 7, 7, 19, 23, 121, 23, 339, 165, 1137, 2791, 319, 16111, 14847, 28171, 79237}},
+{11996, 17, 53340, {1, 3, 1, 5, 9, 59, 33, 19, 191, 707, 1883, 1683, 1161, 12905, 12299, 22201, 19811}},
+{11997, 17, 53364, {1, 3, 1, 3, 27, 11, 69, 199, 415, 251, 1079, 1709, 4539, 7867, 21321, 33617, 53459}},
+{11998, 17, 53367, {1, 1, 3, 9, 19, 59, 21, 95, 275, 213, 1819, 721, 6271, 11845, 9573, 16105, 12755}},
+{11999, 17, 53377, {1, 1, 1, 15, 23, 7, 91, 235, 43, 95, 913, 715, 3229, 12339, 23089, 30963, 129525}},
+{12000, 17, 53395, {1, 1, 7, 9, 7, 41, 43, 131, 485, 621, 1293, 1955, 5215, 6545, 29225, 53587, 46901}},
+{12001, 17, 53398, {1, 3, 1, 5, 7, 57, 97, 199, 225, 707, 1223, 1829, 497, 12587, 24551, 12907, 82411}},
+{12002, 17, 53407, {1, 1, 3, 7, 21, 9, 63, 15, 263, 957, 155, 4021, 4455, 2025, 16981, 19743, 88619}},
+{12003, 17, 53413, {1, 1, 7, 5, 31, 3, 27, 45, 369, 747, 1559, 1429, 8049, 15069, 19897, 50067, 52861}},
+{12004, 17, 53414, {1, 1, 5, 13, 23, 35, 91, 139, 73, 275, 207, 2709, 3801, 12755, 19155, 61629, 5513}},
+{12005, 17, 53417, {1, 1, 5, 7, 5, 25, 33, 45, 325, 847, 81, 891, 3191, 14115, 25095, 39867, 3839}},
+{12006, 17, 53443, {1, 3, 5, 13, 9, 31, 31, 113, 507, 833, 691, 2041, 4873, 81, 21365, 35265, 37627}},
+{12007, 17, 53473, {1, 1, 5, 13, 9, 51, 127, 131, 285, 683, 593, 3411, 6685, 3601, 12255, 8337, 80597}},
+{12008, 17, 53476, {1, 1, 5, 15, 29, 13, 79, 199, 157, 421, 1697, 2063, 2213, 4141, 21045, 45785, 124023}},
+{12009, 17, 53480, {1, 3, 1, 11, 19, 5, 79, 57, 71, 373, 487, 671, 3671, 9093, 20989, 48477, 104951}},
+{12010, 17, 53486, {1, 3, 5, 15, 13, 7, 39, 243, 507, 739, 1905, 3431, 4141, 9345, 27877, 64735, 112997}},
+{12011, 17, 53506, {1, 3, 3, 5, 17, 25, 31, 243, 393, 61, 199, 2825, 6981, 5887, 22289, 9201, 77689}},
+{12012, 17, 53542, {1, 3, 5, 15, 15, 63, 77, 39, 463, 883, 671, 3285, 6925, 15085, 1665, 64005, 130619}},
+{12013, 17, 53546, {1, 3, 3, 11, 21, 15, 7, 115, 9, 879, 1097, 3993, 3929, 9809, 22105, 9549, 31819}},
+{12014, 17, 53554, {1, 1, 7, 15, 3, 9, 19, 97, 327, 105, 1915, 205, 3873, 1229, 29915, 57375, 108217}},
+{12015, 17, 53563, {1, 1, 3, 11, 29, 41, 77, 11, 183, 73, 1651, 3739, 3911, 8695, 15339, 19293, 1827}},
+{12016, 17, 53580, {1, 1, 1, 5, 23, 49, 35, 175, 99, 49, 615, 1733, 6901, 2351, 18765, 55553, 99791}},
+{12017, 17, 53591, {1, 3, 7, 3, 25, 17, 67, 161, 507, 941, 35, 2619, 339, 791, 6485, 64277, 123867}},
+{12018, 17, 53598, {1, 1, 3, 13, 11, 9, 79, 193, 75, 391, 1753, 3537, 6971, 6607, 11933, 4447, 87793}},
+{12019, 17, 53611, {1, 1, 1, 5, 19, 9, 63, 203, 51, 395, 1365, 2393, 7265, 11709, 13721, 4519, 118765}},
+{12020, 17, 53621, {1, 1, 3, 9, 17, 53, 29, 103, 325, 973, 903, 785, 7535, 9951, 8121, 12603, 38679}},
+{12021, 17, 53625, {1, 3, 1, 7, 7, 63, 1, 123, 439, 181, 1373, 2705, 995, 10789, 7495, 54543, 120109}},
+{12022, 17, 53628, {1, 1, 7, 3, 17, 13, 79, 179, 165, 965, 1537, 3753, 3497, 12127, 6983, 48605, 113057}},
+{12023, 17, 53632, {1, 1, 5, 7, 3, 7, 41, 25, 267, 633, 19, 1317, 3445, 12377, 27881, 55249, 40841}},
+{12024, 17, 53650, {1, 3, 5, 1, 31, 55, 43, 129, 411, 281, 1, 851, 2419, 7943, 13721, 39371, 114557}},
+{12025, 17, 53655, {1, 1, 7, 7, 23, 19, 83, 37, 9, 161, 125, 3179, 7973, 9703, 23199, 32723, 130915}},
+{12026, 17, 53675, {1, 1, 7, 5, 27, 21, 11, 219, 403, 239, 1723, 2957, 3029, 9911, 10981, 35421, 74025}},
+{12027, 17, 53677, {1, 3, 1, 1, 31, 59, 69, 77, 395, 1, 157, 1259, 4913, 2089, 17619, 51033, 130899}},
+{12028, 17, 53680, {1, 3, 3, 3, 19, 11, 83, 237, 103, 921, 487, 1833, 8187, 3811, 18887, 9389, 80927}},
+{12029, 17, 53683, {1, 3, 7, 3, 17, 51, 107, 209, 187, 831, 1501, 1337, 803, 10361, 11347, 65291, 42219}},
+{12030, 17, 53700, {1, 3, 3, 15, 7, 29, 61, 25, 413, 257, 1185, 4009, 7463, 1839, 6645, 28389, 14449}},
+{12031, 17, 53709, {1, 3, 1, 9, 5, 31, 83, 55, 375, 399, 945, 997, 7649, 12631, 7691, 53325, 50173}},
+{12032, 17, 53724, {1, 1, 5, 9, 13, 9, 83, 37, 487, 975, 487, 3587, 7285, 7505, 10155, 673, 126505}},
+{12033, 17, 53731, {1, 3, 5, 7, 21, 3, 35, 21, 367, 323, 1579, 3351, 5465, 13719, 17033, 42573, 55079}},
+{12034, 17, 53733, {1, 3, 3, 15, 11, 27, 121, 109, 267, 855, 1417, 3839, 6535, 1051, 29355, 23815, 76031}},
+{12035, 17, 53738, {1, 1, 7, 9, 5, 31, 35, 53, 369, 137, 1545, 927, 825, 1333, 13637, 11003, 96963}},
+{12036, 17, 53762, {1, 1, 5, 3, 29, 41, 31, 85, 35, 477, 227, 3325, 1213, 681, 14591, 31325, 12199}},
+{12037, 17, 53767, {1, 3, 7, 11, 11, 11, 33, 255, 335, 747, 855, 31, 6101, 293, 20423, 47521, 62573}},
+{12038, 17, 53785, {1, 1, 1, 15, 31, 15, 33, 175, 321, 441, 1197, 3579, 4989, 9275, 30485, 1077, 122947}},
+{12039, 17, 53786, {1, 3, 5, 15, 23, 21, 127, 223, 249, 373, 1309, 1469, 5701, 9097, 29897, 26627, 38489}},
+{12040, 17, 53795, {1, 3, 7, 3, 3, 35, 83, 149, 259, 315, 1467, 1953, 6035, 7961, 10901, 25171, 130713}},
+{12041, 17, 53802, {1, 1, 3, 9, 7, 63, 55, 33, 375, 421, 151, 1721, 1999, 14937, 17539, 48323, 97345}},
+{12042, 17, 53812, {1, 1, 5, 5, 3, 21, 47, 19, 227, 131, 1591, 3779, 929, 13879, 13489, 19805, 20135}},
+{12043, 17, 53821, {1, 1, 7, 1, 31, 25, 87, 125, 213, 135, 809, 3067, 5035, 7407, 2193, 31423, 123973}},
+{12044, 17, 53827, {1, 3, 5, 13, 17, 19, 77, 169, 345, 115, 227, 649, 3609, 15063, 1895, 17533, 95859}},
+{12045, 17, 53833, {1, 3, 5, 15, 17, 29, 17, 11, 145, 601, 1871, 851, 8161, 14029, 10039, 4247, 62393}},
+{12046, 17, 53841, {1, 1, 7, 13, 25, 5, 49, 231, 261, 71, 335, 4081, 7915, 11367, 17087, 26041, 128737}},
+{12047, 17, 53848, {1, 1, 1, 13, 13, 21, 77, 113, 373, 1005, 109, 2877, 3001, 15011, 2465, 37015, 69049}},
+{12048, 17, 53869, {1, 1, 3, 15, 31, 33, 119, 121, 41, 9, 1567, 577, 1687, 12117, 17049, 675, 10729}},
+{12049, 17, 53897, {1, 3, 5, 11, 31, 7, 47, 41, 127, 81, 273, 1649, 975, 3953, 17021, 24163, 12599}},
+{12050, 17, 53905, {1, 3, 1, 3, 27, 41, 75, 237, 317, 85, 1995, 2255, 2191, 6441, 26629, 25797, 97681}},
+{12051, 17, 53912, {1, 1, 1, 3, 11, 5, 31, 109, 227, 977, 59, 793, 3305, 10905, 16529, 21345, 2403}},
+{12052, 17, 53921, {1, 3, 5, 9, 9, 37, 107, 129, 421, 383, 1415, 885, 3383, 9547, 7303, 41745, 59919}},
+{12053, 17, 53928, {1, 1, 7, 7, 29, 27, 59, 177, 97, 299, 1019, 1393, 7763, 5715, 9253, 58035, 23431}},
+{12054, 17, 53948, {1, 3, 3, 3, 23, 13, 51, 101, 75, 857, 1699, 2687, 3983, 10427, 19845, 49503, 96033}},
+{12055, 17, 53954, {1, 1, 1, 7, 21, 51, 25, 71, 265, 999, 1259, 625, 775, 11045, 20769, 42597, 115521}},
+{12056, 17, 53968, {1, 3, 1, 13, 25, 47, 21, 245, 201, 667, 1193, 1087, 407, 6057, 14929, 35291, 57615}},
+{12057, 17, 53977, {1, 1, 1, 7, 27, 25, 93, 85, 321, 1009, 1045, 1901, 349, 11393, 10917, 10413, 94125}},
+{12058, 17, 53983, {1, 1, 1, 15, 3, 63, 59, 51, 307, 135, 785, 1921, 6921, 5689, 8487, 21061, 69903}},
+{12059, 17, 53984, {1, 3, 7, 1, 13, 47, 59, 155, 107, 573, 843, 2849, 6685, 5927, 31747, 21541, 94271}},
+{12060, 17, 54002, {1, 1, 7, 15, 23, 7, 85, 169, 209, 527, 1027, 3745, 4773, 14893, 10789, 1243, 87133}},
+{12061, 17, 54007, {1, 1, 5, 9, 1, 1, 53, 57, 245, 899, 1785, 1951, 7651, 10909, 30167, 40789, 66965}},
+{12062, 17, 54013, {1, 1, 1, 7, 17, 33, 65, 79, 455, 677, 157, 1313, 1573, 9697, 4161, 4609, 42783}},
+{12063, 17, 54014, {1, 3, 7, 7, 27, 15, 109, 113, 239, 521, 563, 2493, 1471, 15817, 14515, 48465, 66009}},
+{12064, 17, 54021, {1, 3, 5, 3, 29, 33, 125, 169, 483, 593, 1665, 657, 3799, 15829, 29591, 25813, 40987}},
+{12065, 17, 54026, {1, 3, 1, 11, 15, 25, 21, 215, 341, 241, 1599, 3807, 6633, 15137, 15377, 56881, 47499}},
+{12066, 17, 54028, {1, 3, 3, 3, 15, 49, 89, 117, 191, 641, 675, 2671, 4243, 1617, 20261, 42669, 119173}},
+{12067, 17, 54031, {1, 1, 1, 13, 13, 43, 73, 103, 183, 239, 555, 2121, 4889, 1431, 20601, 21545, 11809}},
+{12068, 17, 54036, {1, 3, 1, 9, 9, 9, 121, 51, 77, 455, 1481, 427, 1961, 12149, 21273, 16295, 21909}},
+{12069, 17, 54067, {1, 1, 5, 11, 19, 55, 37, 63, 493, 663, 945, 2191, 2491, 11545, 7407, 36295, 94293}},
+{12070, 17, 54069, {1, 3, 5, 15, 25, 35, 103, 33, 171, 425, 409, 5, 2519, 2239, 30557, 20007, 69079}},
+{12071, 17, 54074, {1, 1, 5, 11, 13, 29, 71, 21, 35, 833, 191, 365, 7013, 12413, 10227, 56705, 61705}},
+{12072, 17, 54076, {1, 1, 1, 1, 21, 13, 87, 113, 63, 537, 283, 925, 2147, 1683, 31239, 2775, 131021}},
+{12073, 17, 54105, {1, 1, 3, 9, 23, 1, 117, 19, 487, 235, 877, 149, 369, 9615, 12501, 60175, 35741}},
+{12074, 17, 54111, {1, 1, 7, 9, 5, 25, 107, 199, 339, 755, 245, 2861, 1119, 14683, 2221, 5227, 81479}},
+{12075, 17, 54118, {1, 1, 1, 15, 5, 15, 37, 63, 511, 219, 783, 3245, 5563, 13231, 22311, 16803, 10393}},
+{12076, 17, 54129, {1, 3, 7, 5, 1, 15, 9, 21, 287, 991, 555, 771, 7683, 1661, 6553, 43735, 118713}},
+{12077, 17, 54145, {1, 3, 1, 3, 3, 29, 119, 157, 13, 599, 537, 2921, 5207, 11621, 1515, 6351, 118429}},
+{12078, 17, 54157, {1, 1, 5, 1, 27, 39, 111, 117, 481, 25, 549, 913, 6427, 7703, 23099, 50501, 7617}},
+{12079, 17, 54158, {1, 1, 7, 5, 29, 63, 43, 151, 63, 43, 197, 3165, 3879, 12435, 461, 64475, 60597}},
+{12080, 17, 54163, {1, 3, 1, 11, 31, 35, 59, 207, 387, 441, 1293, 2117, 3751, 12653, 2811, 42585, 33297}},
+{12081, 17, 54166, {1, 3, 7, 15, 27, 47, 13, 15, 135, 433, 615, 1, 171, 11503, 27117, 64635, 122191}},
+{12082, 17, 54172, {1, 1, 7, 1, 23, 23, 107, 135, 311, 395, 373, 2771, 81, 12513, 16739, 6715, 94999}},
+{12083, 17, 54185, {1, 3, 5, 7, 19, 9, 21, 139, 307, 231, 65, 59, 7767, 2897, 3503, 58163, 48807}},
+{12084, 17, 54186, {1, 3, 5, 13, 23, 5, 51, 247, 125, 911, 1395, 1337, 3215, 15811, 12729, 21495, 22597}},
+{12085, 17, 54188, {1, 3, 5, 5, 1, 19, 123, 125, 197, 533, 1699, 1397, 3473, 15201, 24493, 3395, 98261}},
+{12086, 17, 54208, {1, 1, 3, 7, 29, 39, 69, 97, 353, 293, 1103, 543, 5015, 9913, 6965, 61921, 122073}},
+{12087, 17, 54223, {1, 1, 3, 13, 19, 41, 117, 253, 449, 231, 865, 3055, 4751, 3277, 22863, 3249, 38359}},
+{12088, 17, 54237, {1, 3, 5, 13, 9, 7, 107, 17, 251, 501, 1925, 3733, 5035, 13213, 12535, 13705, 73047}},
+{12089, 17, 54241, {1, 3, 7, 5, 23, 5, 83, 45, 457, 667, 913, 1167, 7063, 10915, 10911, 20501, 61823}},
+{12090, 17, 54244, {1, 3, 3, 13, 7, 15, 29, 223, 503, 713, 667, 3989, 5927, 5909, 27633, 17615, 97931}},
+{12091, 17, 54259, {1, 3, 7, 13, 19, 53, 25, 41, 311, 327, 1323, 3361, 1095, 12701, 1065, 34155, 34705}},
+{12092, 17, 54273, {1, 1, 7, 7, 11, 35, 63, 73, 179, 477, 467, 4043, 3097, 16089, 12749, 18233, 50299}},
+{12093, 17, 54276, {1, 3, 3, 13, 5, 27, 31, 207, 357, 469, 607, 961, 7393, 6707, 25833, 22337, 119083}},
+{12094, 17, 54280, {1, 1, 3, 3, 7, 53, 47, 55, 267, 107, 1307, 2151, 793, 15605, 12153, 13075, 76529}},
+{12095, 17, 54294, {1, 3, 5, 1, 13, 35, 63, 191, 375, 221, 1603, 2049, 5363, 1481, 32271, 22635, 118603}},
+{12096, 17, 54298, {1, 1, 1, 11, 17, 63, 13, 3, 353, 943, 443, 141, 7441, 12335, 4499, 15923, 63677}},
+{12097, 17, 54303, {1, 3, 7, 13, 21, 51, 125, 61, 203, 1, 707, 3893, 4627, 3125, 14629, 62721, 85101}},
+{12098, 17, 54304, {1, 1, 3, 5, 31, 23, 63, 241, 41, 721, 599, 1761, 2593, 1685, 31247, 7811, 87561}},
+{12099, 17, 54309, {1, 1, 7, 9, 7, 53, 51, 9, 303, 675, 1261, 1591, 4363, 15, 29723, 54533, 103869}},
+{12100, 17, 54310, {1, 3, 5, 7, 27, 21, 103, 113, 463, 379, 635, 2363, 607, 11445, 22475, 58433, 93071}},
+{12101, 17, 54316, {1, 1, 5, 5, 5, 63, 23, 67, 399, 279, 829, 945, 6545, 14951, 5135, 22889, 87625}},
+{12102, 17, 54336, {1, 1, 7, 15, 1, 59, 69, 123, 169, 821, 1125, 2051, 3375, 11691, 1379, 57461, 124209}},
+{12103, 17, 54354, {1, 1, 5, 15, 31, 57, 51, 59, 297, 459, 701, 241, 2801, 11893, 4007, 13165, 79403}},
+{12104, 17, 54359, {1, 1, 5, 9, 11, 41, 79, 47, 19, 529, 21, 1871, 371, 6269, 7433, 36183, 96113}},
+{12105, 17, 54375, {1, 1, 7, 5, 29, 3, 33, 191, 119, 501, 1637, 2903, 3347, 4581, 17407, 18169, 10595}},
+{12106, 17, 54376, {1, 3, 5, 11, 9, 35, 95, 193, 413, 727, 1157, 3331, 5993, 1781, 22653, 3975, 110557}},
+{12107, 17, 54381, {1, 1, 1, 1, 23, 5, 35, 65, 57, 515, 569, 4031, 7983, 4603, 29419, 44847, 63601}},
+{12108, 17, 54390, {1, 3, 1, 7, 21, 5, 77, 23, 317, 803, 723, 3229, 7171, 2883, 10943, 50323, 108579}},
+{12109, 17, 54396, {1, 3, 5, 11, 15, 53, 75, 127, 177, 19, 501, 1201, 5113, 9069, 8817, 14725, 104737}},
+{12110, 17, 54399, {1, 3, 7, 9, 7, 39, 5, 121, 409, 103, 1075, 451, 7603, 16023, 32557, 43159, 94385}},
+{12111, 17, 54409, {1, 3, 1, 11, 29, 57, 123, 141, 57, 945, 1777, 2427, 2359, 12839, 7325, 7945, 129811}},
+{12112, 17, 54424, {1, 3, 5, 15, 5, 3, 17, 55, 467, 61, 131, 2891, 6331, 5859, 20437, 49425, 80731}},
+{12113, 17, 54434, {1, 1, 1, 15, 29, 13, 127, 181, 361, 1019, 1675, 2755, 6533, 8957, 14691, 4285, 65459}},
+{12114, 17, 54436, {1, 1, 7, 11, 23, 43, 111, 183, 103, 269, 229, 3291, 1873, 11349, 29319, 64829, 19639}},
+{12115, 17, 54439, {1, 3, 7, 11, 15, 63, 1, 253, 489, 863, 1707, 2769, 3201, 7901, 18161, 12515, 130237}},
+{12116, 17, 54445, {1, 3, 1, 7, 1, 25, 43, 159, 505, 511, 1745, 1421, 6779, 11103, 23535, 61129, 124571}},
+{12117, 17, 54448, {1, 1, 3, 13, 19, 33, 17, 243, 481, 617, 1061, 1891, 7165, 6821, 18505, 8965, 70179}},
+{12118, 17, 54457, {1, 1, 7, 13, 17, 17, 65, 23, 255, 361, 1873, 1605, 2041, 11119, 11419, 63131, 49207}},
+{12119, 17, 54465, {1, 1, 5, 13, 15, 57, 27, 223, 199, 529, 1115, 1513, 8083, 11713, 21005, 50741, 122223}},
+{12120, 17, 54471, {1, 3, 5, 15, 29, 35, 107, 85, 141, 505, 1553, 1283, 4581, 5077, 9461, 59853, 23219}},
+{12121, 17, 54472, {1, 3, 5, 11, 11, 45, 53, 195, 199, 773, 1911, 721, 1563, 3769, 3267, 30673, 80313}},
+{12122, 17, 54485, {1, 3, 7, 7, 21, 37, 9, 129, 431, 79, 1559, 2125, 7781, 6441, 23533, 46919, 25315}},
+{12123, 17, 54508, {1, 1, 5, 15, 11, 61, 77, 231, 349, 647, 225, 85, 6789, 12557, 6505, 21985, 54965}},
+{12124, 17, 54513, {1, 1, 5, 1, 19, 21, 33, 211, 347, 491, 1119, 1619, 3739, 11255, 26705, 59691, 35337}},
+{12125, 17, 54528, {1, 1, 3, 3, 29, 15, 7, 23, 279, 145, 699, 289, 475, 1681, 3201, 64477, 24919}},
+{12126, 17, 54534, {1, 1, 7, 7, 23, 53, 75, 71, 315, 403, 1521, 1417, 3749, 11243, 3951, 61039, 51143}},
+{12127, 17, 54537, {1, 3, 7, 3, 15, 21, 81, 219, 249, 387, 1405, 3495, 7143, 2599, 25435, 15259, 66069}},
+{12128, 17, 54540, {1, 1, 5, 7, 31, 9, 63, 55, 409, 421, 1851, 847, 1593, 10447, 2833, 13209, 47285}},
+{12129, 17, 54551, {1, 1, 3, 7, 15, 3, 35, 49, 253, 21, 1705, 357, 2751, 9671, 12429, 4549, 118691}},
+{12130, 17, 54561, {1, 1, 5, 15, 1, 3, 97, 197, 43, 923, 1273, 663, 4291, 12357, 28221, 15291, 60989}},
+{12131, 17, 54573, {1, 1, 7, 7, 15, 3, 35, 115, 449, 641, 743, 1855, 359, 10983, 2831, 43983, 56465}},
+{12132, 17, 54579, {1, 3, 7, 11, 1, 51, 69, 27, 29, 187, 1673, 1273, 7987, 1223, 8971, 53805, 4413}},
+{12133, 17, 54586, {1, 1, 3, 11, 1, 55, 91, 241, 35, 97, 1027, 3967, 703, 3535, 21681, 55825, 50423}},
+{12134, 17, 54591, {1, 1, 7, 11, 21, 53, 111, 125, 11, 355, 1585, 3603, 1705, 16311, 7045, 15503, 63625}},
+{12135, 17, 54596, {1, 1, 5, 15, 25, 47, 31, 29, 333, 361, 1831, 1545, 7751, 8679, 32453, 61755, 94637}},
+{12136, 17, 54599, {1, 1, 3, 3, 23, 3, 79, 11, 367, 551, 281, 1273, 5097, 12527, 473, 33855, 85783}},
+{12137, 17, 54605, {1, 1, 1, 15, 27, 21, 107, 121, 187, 495, 1877, 1957, 3647, 13263, 30729, 18131, 33689}},
+{12138, 17, 54613, {1, 1, 5, 13, 3, 43, 41, 53, 127, 299, 839, 3327, 7929, 9921, 29471, 18075, 34283}},
+{12139, 17, 54623, {1, 1, 7, 13, 31, 5, 59, 75, 335, 929, 379, 139, 7121, 9281, 31161, 3177, 2615}},
+{12140, 17, 54654, {1, 3, 7, 1, 11, 19, 81, 199, 425, 639, 497, 693, 1271, 7363, 10543, 52513, 130549}},
+{12141, 17, 54667, {1, 3, 3, 7, 21, 41, 101, 67, 363, 5, 1455, 1433, 81, 15609, 16231, 13285, 38995}},
+{12142, 17, 54681, {1, 1, 3, 15, 11, 19, 123, 177, 429, 27, 141, 3095, 5379, 2241, 29877, 59383, 25199}},
+{12143, 17, 54684, {1, 1, 7, 7, 19, 63, 93, 217, 279, 349, 149, 2479, 2355, 6475, 29993, 37941, 58715}},
+{12144, 17, 54687, {1, 3, 7, 3, 21, 23, 59, 177, 489, 817, 1209, 1629, 5805, 3137, 23767, 62967, 16609}},
+{12145, 17, 54694, {1, 3, 3, 7, 9, 55, 59, 31, 191, 891, 833, 1059, 3007, 2331, 385, 58247, 110697}},
+{12146, 17, 54706, {1, 1, 3, 3, 11, 61, 9, 189, 79, 621, 209, 2785, 2959, 4133, 20691, 45605, 117089}},
+{12147, 17, 54712, {1, 3, 3, 5, 5, 47, 31, 1, 451, 765, 2027, 2327, 1725, 14341, 7997, 6449, 77893}},
+{12148, 17, 54715, {1, 1, 7, 1, 7, 27, 27, 129, 227, 505, 1461, 783, 945, 12653, 17913, 61631, 41875}},
+{12149, 17, 54723, {1, 1, 1, 11, 13, 41, 41, 221, 483, 825, 451, 493, 1717, 10389, 7805, 37707, 30733}},
+{12150, 17, 54725, {1, 1, 5, 3, 31, 31, 75, 3, 323, 83, 563, 919, 7387, 1673, 6157, 7415, 14947}},
+{12151, 17, 54726, {1, 1, 7, 13, 19, 37, 29, 93, 153, 491, 1033, 1389, 6361, 11133, 20049, 24585, 107325}},
+{12152, 17, 54740, {1, 1, 1, 15, 3, 35, 79, 251, 383, 665, 2033, 3165, 3411, 15965, 28281, 56521, 56479}},
+{12153, 17, 54750, {1, 3, 1, 15, 23, 1, 87, 145, 443, 405, 635, 1597, 1455, 5983, 12741, 55133, 2815}},
+{12154, 17, 54760, {1, 1, 1, 13, 11, 25, 19, 129, 23, 913, 1121, 223, 1991, 13449, 30443, 50573, 108467}},
+{12155, 17, 54768, {1, 1, 7, 11, 29, 31, 49, 51, 415, 293, 173, 4091, 159, 2679, 30643, 58725, 109287}},
+{12156, 17, 54771, {1, 1, 1, 7, 15, 53, 69, 231, 387, 693, 1299, 1383, 7935, 10313, 22403, 59341, 3347}},
+{12157, 17, 54773, {1, 3, 3, 5, 9, 21, 111, 11, 469, 109, 1565, 3107, 2975, 12491, 26773, 33245, 27589}},
+{12158, 17, 54796, {1, 1, 3, 5, 3, 9, 103, 127, 345, 301, 857, 2035, 3269, 13819, 7555, 5197, 94557}},
+{12159, 17, 54801, {1, 3, 7, 3, 31, 3, 61, 253, 221, 359, 1281, 1405, 4819, 1329, 17773, 29539, 127043}},
+{12160, 17, 54808, {1, 1, 7, 11, 17, 47, 105, 253, 253, 531, 119, 2009, 6125, 9387, 13141, 29079, 28361}},
+{12161, 17, 54814, {1, 1, 3, 5, 21, 13, 21, 223, 79, 819, 1425, 1001, 6517, 8883, 29997, 30637, 7717}},
+{12162, 17, 54837, {1, 3, 1, 3, 1, 23, 113, 69, 235, 95, 1873, 689, 4611, 13209, 12681, 16057, 114071}},
+{12163, 17, 54847, {1, 3, 3, 13, 25, 21, 93, 55, 253, 373, 1659, 829, 6539, 7453, 28195, 33131, 92559}},
+{12164, 17, 54849, {1, 1, 3, 11, 25, 29, 81, 235, 429, 811, 1867, 2923, 5949, 4423, 93, 64631, 48357}},
+{12165, 17, 54864, {1, 3, 5, 13, 29, 27, 35, 15, 105, 849, 247, 3999, 6441, 12443, 19817, 49897, 21515}},
+{12166, 17, 54867, {1, 1, 5, 15, 13, 59, 3, 199, 267, 463, 655, 3875, 2895, 13411, 5081, 22069, 6053}},
+{12167, 17, 54889, {1, 1, 5, 9, 5, 13, 111, 83, 281, 543, 629, 1349, 1863, 9523, 19201, 39229, 78265}},
+{12168, 17, 54895, {1, 3, 7, 1, 29, 23, 109, 75, 347, 643, 97, 1981, 2797, 11201, 28355, 54105, 45551}},
+{12169, 17, 54907, {1, 3, 1, 7, 9, 5, 77, 17, 179, 957, 621, 779, 7117, 1491, 11563, 10131, 98335}},
+{12170, 17, 54919, {1, 3, 3, 1, 3, 53, 39, 217, 309, 105, 485, 3123, 3143, 2359, 4923, 22307, 120319}},
+{12171, 17, 54923, {1, 1, 7, 7, 11, 5, 65, 165, 321, 455, 625, 2417, 999, 14999, 6777, 13319, 43399}},
+{12172, 17, 54926, {1, 1, 7, 3, 11, 55, 43, 119, 135, 129, 581, 3593, 3475, 14667, 30509, 5007, 120135}},
+{12173, 17, 54940, {1, 1, 1, 11, 7, 17, 95, 169, 401, 87, 1425, 1821, 7619, 3605, 10993, 35837, 87311}},
+{12174, 17, 54950, {1, 1, 7, 11, 11, 35, 29, 63, 395, 301, 373, 2457, 6859, 1915, 11215, 41075, 78219}},
+{12175, 17, 54954, {1, 3, 5, 7, 25, 3, 97, 43, 273, 459, 103, 3441, 71, 10269, 29893, 46053, 104801}},
+{12176, 17, 54961, {1, 3, 3, 7, 31, 3, 121, 255, 73, 783, 977, 513, 6527, 1189, 8925, 23245, 22287}},
+{12177, 17, 54973, {1, 3, 3, 13, 15, 53, 51, 135, 465, 341, 263, 1687, 4085, 14257, 18745, 46945, 115475}},
+{12178, 17, 54974, {1, 3, 1, 5, 31, 1, 1, 91, 511, 771, 1501, 2613, 991, 3859, 28911, 65417, 201}},
+{12179, 17, 54976, {1, 1, 7, 1, 27, 21, 107, 153, 163, 949, 811, 3087, 3443, 5621, 28795, 58311, 63763}},
+{12180, 17, 54986, {1, 1, 7, 5, 29, 29, 57, 175, 29, 821, 1545, 2643, 725, 16225, 29111, 19675, 129995}},
+{12181, 17, 54993, {1, 1, 7, 3, 31, 31, 61, 155, 265, 323, 1829, 3891, 6393, 8573, 10627, 10839, 78683}},
+{12182, 17, 55000, {1, 3, 5, 7, 29, 7, 67, 181, 313, 731, 1761, 1681, 3673, 8939, 811, 48931, 82021}},
+{12183, 17, 55010, {1, 3, 1, 3, 11, 51, 81, 67, 173, 881, 855, 3627, 1613, 4825, 7035, 36261, 64899}},
+{12184, 17, 55019, {1, 3, 7, 7, 15, 53, 123, 41, 265, 817, 807, 3875, 7675, 16225, 13313, 62217, 47647}},
+{12185, 17, 55021, {1, 1, 3, 13, 23, 47, 125, 155, 403, 651, 1693, 2185, 5565, 9947, 20893, 11287, 118943}},
+{12186, 17, 55030, {1, 3, 7, 3, 19, 47, 69, 5, 209, 259, 367, 3929, 7579, 12687, 18109, 51885, 128281}},
+{12187, 17, 55033, {1, 1, 7, 5, 27, 41, 45, 41, 205, 1001, 1509, 2649, 1141, 5355, 10265, 34131, 112111}},
+{12188, 17, 55039, {1, 3, 7, 5, 19, 41, 103, 63, 49, 25, 271, 793, 3217, 4741, 2563, 61333, 113205}},
+{12189, 17, 55047, {1, 3, 3, 15, 15, 35, 13, 233, 277, 673, 545, 545, 7419, 6707, 1867, 58873, 110027}},
+{12190, 17, 55048, {1, 1, 7, 3, 9, 23, 67, 55, 3, 1019, 2001, 2909, 7311, 9295, 26953, 43217, 54597}},
+{12191, 17, 55054, {1, 3, 5, 7, 13, 33, 67, 27, 75, 569, 1777, 791, 1223, 1805, 19167, 60537, 60039}},
+{12192, 17, 55059, {1, 1, 5, 13, 15, 61, 49, 59, 289, 907, 1055, 3579, 8169, 12119, 25479, 32867, 65343}},
+{12193, 17, 55068, {1, 3, 5, 9, 5, 63, 91, 225, 377, 469, 891, 891, 5115, 11487, 30151, 44357, 120077}},
+{12194, 17, 55071, {1, 1, 1, 15, 29, 59, 19, 51, 295, 585, 149, 497, 5837, 11629, 7825, 18129, 113797}},
+{12195, 17, 55075, {1, 1, 3, 7, 31, 25, 77, 209, 183, 337, 1753, 2703, 2559, 11847, 17349, 27359, 21771}},
+{12196, 17, 55077, {1, 1, 7, 7, 13, 23, 69, 61, 353, 339, 833, 1935, 4333, 10521, 20331, 62145, 59245}},
+{12197, 17, 55081, {1, 1, 5, 13, 19, 57, 35, 59, 203, 99, 487, 2747, 637, 8213, 27053, 29, 64335}},
+{12198, 17, 55095, {1, 3, 5, 7, 27, 5, 71, 147, 339, 313, 913, 2845, 5713, 4383, 18969, 54871, 51931}},
+{12199, 17, 55099, {1, 1, 1, 5, 7, 23, 19, 11, 111, 543, 311, 1519, 387, 10175, 18209, 14115, 123421}},
+{12200, 17, 55110, {1, 3, 7, 11, 7, 7, 123, 193, 417, 65, 1317, 3821, 2315, 14527, 14113, 25873, 23977}},
+{12201, 17, 55116, {1, 1, 3, 15, 21, 11, 3, 37, 115, 395, 877, 1227, 6997, 4357, 11397, 52855, 24899}},
+{12202, 17, 55122, {1, 1, 7, 5, 15, 45, 45, 17, 441, 605, 429, 739, 4759, 5249, 11311, 55049, 56909}},
+{12203, 17, 55134, {1, 1, 1, 5, 3, 5, 77, 31, 407, 703, 385, 235, 7751, 617, 16013, 27269, 66971}},
+{12204, 17, 55144, {1, 3, 3, 15, 25, 27, 19, 251, 465, 197, 1039, 3261, 4557, 4821, 16083, 43997, 61371}},
+{12205, 17, 55147, {1, 3, 3, 15, 21, 45, 13, 139, 213, 797, 619, 2125, 3805, 4149, 11427, 59807, 104587}},
+{12206, 17, 55158, {1, 3, 1, 1, 29, 27, 25, 7, 371, 535, 1613, 1083, 4221, 8913, 10601, 6447, 17619}},
+{12207, 17, 55162, {1, 1, 3, 3, 13, 35, 37, 127, 285, 899, 307, 123, 129, 14035, 26503, 64103, 27155}},
+{12208, 17, 55171, {1, 1, 7, 7, 27, 25, 45, 245, 271, 281, 69, 3505, 7087, 1529, 7121, 30327, 89131}},
+{12209, 17, 55185, {1, 1, 3, 11, 13, 57, 31, 23, 455, 427, 1683, 3019, 5827, 8817, 12943, 321, 39951}},
+{12210, 17, 55192, {1, 3, 1, 3, 31, 41, 69, 211, 385, 275, 1569, 2265, 4017, 11057, 15, 16619, 126967}},
+{12211, 17, 55197, {1, 3, 3, 1, 27, 27, 21, 145, 125, 929, 1371, 1469, 1591, 5283, 4651, 1265, 17161}},
+{12212, 17, 55207, {1, 3, 7, 5, 29, 31, 41, 141, 49, 967, 1421, 663, 6089, 3831, 11353, 38809, 108605}},
+{12213, 17, 55228, {1, 1, 7, 15, 11, 23, 91, 31, 9, 717, 265, 1729, 3563, 8145, 20441, 22933, 103683}},
+{12214, 17, 55246, {1, 1, 7, 3, 17, 13, 47, 13, 241, 1017, 1803, 2091, 7379, 2941, 11783, 36189, 53513}},
+{12215, 17, 55253, {1, 3, 1, 11, 31, 63, 107, 79, 427, 385, 1497, 1265, 5135, 13597, 27343, 56733, 100595}},
+{12216, 17, 55254, {1, 3, 7, 3, 9, 15, 119, 29, 205, 151, 1453, 3575, 3627, 7815, 3553, 31457, 14267}},
+{12217, 17, 55281, {1, 3, 1, 7, 15, 21, 73, 47, 417, 29, 1231, 2477, 161, 15997, 4457, 3939, 43929}},
+{12218, 17, 55300, {1, 1, 5, 5, 19, 49, 103, 251, 359, 69, 669, 299, 8161, 10579, 13999, 26859, 92199}},
+{12219, 17, 55303, {1, 1, 3, 1, 9, 27, 81, 7, 115, 29, 1067, 1933, 3061, 2885, 27883, 65227, 59365}},
+{12220, 17, 55307, {1, 1, 1, 5, 23, 17, 1, 113, 495, 155, 1673, 3945, 8053, 7935, 3537, 65141, 11809}},
+{12221, 17, 55312, {1, 1, 1, 15, 15, 59, 61, 213, 303, 851, 1893, 615, 6659, 9351, 16621, 6097, 114383}},
+{12222, 17, 55328, {1, 3, 1, 7, 19, 11, 95, 127, 277, 677, 1631, 2563, 3295, 7029, 4059, 44079, 128857}},
+{12223, 17, 55331, {1, 3, 7, 11, 27, 49, 99, 43, 279, 771, 123, 2969, 699, 12915, 22039, 62257, 79359}},
+{12224, 17, 55337, {1, 1, 7, 3, 19, 45, 45, 113, 251, 883, 715, 1541, 1573, 3345, 23855, 62681, 57591}},
+{12225, 17, 55348, {1, 1, 5, 15, 11, 1, 51, 15, 135, 519, 961, 1447, 4425, 2139, 3309, 35111, 74143}},
+{12226, 17, 55352, {1, 3, 7, 7, 17, 39, 109, 25, 11, 549, 315, 2175, 685, 11837, 9151, 6277, 45011}},
+{12227, 17, 55357, {1, 1, 1, 9, 27, 7, 95, 1, 385, 167, 453, 1027, 4105, 16351, 19, 10375, 62833}},
+{12228, 17, 55372, {1, 3, 7, 13, 17, 19, 107, 11, 441, 171, 185, 3567, 1245, 12161, 30257, 48105, 87105}},
+{12229, 17, 55375, {1, 3, 3, 9, 15, 5, 109, 225, 85, 919, 513, 3559, 5411, 9009, 27391, 25115, 84875}},
+{12230, 17, 55377, {1, 3, 3, 7, 11, 37, 81, 51, 121, 25, 1897, 2121, 6425, 16087, 4259, 29501, 118067}},
+{12231, 17, 55394, {1, 1, 7, 3, 5, 53, 73, 127, 137, 739, 543, 1723, 1163, 2791, 18519, 1459, 50869}},
+{12232, 17, 55406, {1, 1, 3, 11, 29, 51, 101, 189, 193, 839, 25, 3109, 3035, 3917, 23929, 38577, 129705}},
+{12233, 17, 55424, {1, 3, 7, 15, 9, 29, 93, 101, 271, 791, 1257, 1843, 2701, 8205, 15195, 9109, 120835}},
+{12234, 17, 55429, {1, 3, 3, 5, 29, 47, 31, 135, 483, 385, 1395, 2955, 7291, 12885, 9491, 14581, 66293}},
+{12235, 17, 55430, {1, 1, 7, 1, 5, 37, 105, 149, 63, 617, 1611, 3025, 3177, 15463, 3373, 3503, 95001}},
+{12236, 17, 55436, {1, 1, 5, 13, 1, 57, 19, 35, 127, 423, 1221, 1547, 4083, 347, 17131, 60087, 27437}},
+{12237, 17, 55439, {1, 3, 7, 9, 25, 1, 105, 39, 25, 921, 1897, 1729, 2207, 7761, 24197, 457, 64241}},
+{12238, 17, 55447, {1, 3, 7, 9, 15, 21, 13, 113, 379, 1021, 489, 1757, 5869, 4833, 24717, 52227, 3209}},
+{12239, 17, 55453, {1, 3, 1, 5, 9, 61, 25, 41, 183, 473, 383, 2259, 6939, 3, 32161, 6319, 93099}},
+{12240, 17, 55458, {1, 1, 5, 13, 13, 47, 97, 3, 357, 837, 1655, 485, 4251, 12153, 9013, 25121, 51877}},
+{12241, 17, 55460, {1, 1, 1, 15, 7, 59, 65, 119, 467, 313, 1333, 2007, 5165, 13935, 13679, 3999, 81811}},
+{12242, 17, 55478, {1, 1, 5, 13, 13, 1, 63, 117, 449, 13, 1017, 1583, 7599, 3669, 32699, 59455, 32363}},
+{12243, 17, 55489, {1, 1, 7, 9, 7, 15, 37, 251, 167, 25, 1085, 2067, 2771, 5737, 20661, 19231, 59547}},
+{12244, 17, 55501, {1, 1, 5, 13, 29, 11, 63, 37, 281, 657, 1567, 2879, 7601, 15617, 16527, 51695, 5583}},
+{12245, 17, 55502, {1, 1, 5, 3, 31, 17, 19, 65, 315, 413, 927, 3617, 4089, 11899, 3759, 47991, 1685}},
+{12246, 17, 55519, {1, 1, 1, 1, 13, 47, 89, 91, 379, 429, 283, 3765, 2923, 14955, 26399, 9579, 39817}},
+{12247, 17, 55525, {1, 1, 1, 9, 1, 17, 91, 119, 327, 291, 39, 2883, 6265, 553, 7559, 60577, 34393}},
+{12248, 17, 55530, {1, 3, 5, 5, 9, 33, 123, 219, 103, 529, 181, 1321, 6815, 2411, 10555, 43911, 18889}},
+{12249, 17, 55544, {1, 1, 5, 7, 9, 13, 7, 45, 427, 523, 1189, 255, 2103, 7217, 16249, 14631, 90409}},
+{12250, 17, 55550, {1, 1, 1, 9, 11, 35, 55, 71, 89, 637, 1417, 411, 5305, 10125, 20715, 62927, 4993}},
+{12251, 17, 55558, {1, 3, 1, 9, 1, 59, 27, 221, 267, 797, 1081, 951, 1369, 2677, 20763, 63301, 61963}},
+{12252, 17, 55561, {1, 3, 5, 5, 17, 9, 67, 177, 89, 953, 1329, 1649, 989, 7773, 28747, 26231, 42331}},
+{12253, 17, 55569, {1, 3, 3, 9, 23, 35, 17, 145, 53, 519, 1173, 2079, 2593, 3633, 32005, 30573, 55651}},
+{12254, 17, 55586, {1, 1, 7, 7, 17, 41, 47, 253, 107, 843, 9, 323, 2391, 3267, 25813, 1741, 93493}},
+{12255, 17, 55591, {1, 1, 1, 9, 31, 43, 47, 91, 235, 569, 2017, 2385, 5055, 5747, 26471, 48819, 47315}},
+{12256, 17, 55598, {1, 3, 5, 9, 1, 17, 87, 91, 55, 287, 995, 2577, 1151, 9119, 22791, 50899, 16423}},
+{12257, 17, 55605, {1, 3, 7, 1, 3, 29, 9, 193, 269, 201, 325, 2209, 1061, 7957, 23265, 65083, 27575}},
+{12258, 17, 55609, {1, 3, 7, 15, 27, 23, 37, 239, 165, 959, 1965, 2105, 1581, 6621, 17315, 49255, 62487}},
+{12259, 17, 55618, {1, 3, 7, 7, 11, 31, 73, 145, 429, 421, 571, 3375, 2797, 15889, 26523, 12315, 48061}},
+{12260, 17, 55630, {1, 3, 3, 15, 23, 27, 105, 75, 497, 137, 475, 1343, 537, 10499, 27807, 46623, 32435}},
+{12261, 17, 55642, {1, 1, 7, 15, 15, 11, 51, 107, 225, 557, 1461, 3447, 1243, 13827, 23675, 26139, 54603}},
+{12262, 17, 55644, {1, 3, 5, 5, 7, 25, 51, 3, 85, 371, 1503, 3217, 1779, 7141, 29471, 42247, 107699}},
+{12263, 17, 55653, {1, 3, 7, 15, 23, 53, 127, 229, 241, 165, 1985, 1921, 5917, 15743, 18349, 23981, 58241}},
+{12264, 17, 55654, {1, 1, 3, 13, 9, 63, 49, 67, 21, 57, 377, 1807, 5603, 13651, 28039, 3745, 4903}},
+{12265, 17, 55660, {1, 3, 7, 11, 1, 43, 17, 95, 79, 343, 1939, 2349, 5195, 3047, 4325, 27829, 53809}},
+{12266, 17, 55671, {1, 1, 5, 9, 7, 43, 111, 221, 493, 151, 1635, 3949, 6661, 4861, 17661, 61909, 4975}},
+{12267, 17, 55693, {1, 3, 1, 3, 31, 47, 63, 45, 401, 153, 1139, 2125, 6639, 14093, 31607, 20645, 52245}},
+{12268, 17, 55706, {1, 1, 3, 1, 19, 31, 59, 139, 285, 749, 751, 775, 7795, 14917, 30295, 61037, 12315}},
+{12269, 17, 55712, {1, 3, 3, 9, 15, 55, 79, 183, 373, 663, 497, 2589, 4955, 5409, 23527, 2683, 5487}},
+{12270, 17, 55718, {1, 3, 7, 11, 25, 47, 53, 225, 197, 109, 1937, 1375, 7347, 7353, 2335, 21775, 14877}},
+{12271, 17, 55739, {1, 3, 1, 9, 23, 61, 51, 221, 129, 57, 115, 1031, 6793, 14773, 3331, 24951, 94761}},
+{12272, 17, 55747, {1, 1, 5, 15, 31, 9, 69, 117, 295, 147, 673, 3627, 7167, 13835, 20593, 53163, 83033}},
+{12273, 17, 55754, {1, 3, 7, 9, 15, 63, 111, 225, 147, 863, 691, 629, 7485, 483, 21835, 46251, 94645}},
+{12274, 17, 55771, {1, 3, 3, 3, 11, 41, 23, 159, 133, 787, 1617, 629, 5047, 4465, 29051, 47499, 7211}},
+{12275, 17, 55774, {1, 1, 3, 13, 21, 61, 29, 159, 73, 165, 917, 2577, 7237, 11807, 3767, 56861, 51395}},
+{12276, 17, 55780, {1, 1, 5, 3, 15, 31, 37, 233, 283, 265, 1645, 3843, 1971, 4989, 26823, 15243, 74931}},
+{12277, 17, 55783, {1, 3, 7, 11, 9, 51, 7, 119, 237, 905, 1211, 3041, 7641, 3387, 8373, 38961, 68925}},
+{12278, 17, 55784, {1, 1, 7, 3, 17, 53, 55, 195, 57, 957, 2027, 3965, 2993, 411, 13947, 58349, 32169}},
+{12279, 17, 55789, {1, 1, 7, 9, 7, 37, 55, 93, 173, 769, 1381, 3977, 5293, 5051, 21455, 45547, 64653}},
+{12280, 17, 55798, {1, 3, 5, 7, 1, 41, 89, 161, 315, 361, 1675, 2993, 3281, 13043, 19003, 22129, 130379}},
+{12281, 17, 55802, {1, 3, 1, 9, 13, 37, 85, 197, 465, 177, 661, 943, 541, 11117, 9751, 4193, 98291}},
+{12282, 17, 55823, {1, 1, 3, 7, 21, 7, 67, 17, 41, 817, 1159, 1483, 6937, 10079, 3639, 27887, 14541}},
+{12283, 17, 55828, {1, 3, 3, 15, 17, 63, 69, 215, 437, 883, 1857, 3319, 3107, 16279, 10709, 30433, 52551}},
+{12284, 17, 55837, {1, 1, 3, 11, 1, 5, 69, 37, 419, 999, 1711, 875, 3807, 10811, 16345, 61155, 116043}},
+{12285, 17, 55838, {1, 3, 7, 13, 17, 7, 57, 237, 81, 691, 1143, 4075, 2481, 643, 8091, 8243, 80111}},
+{12286, 17, 55847, {1, 1, 7, 7, 17, 61, 73, 215, 113, 885, 159, 2243, 1177, 10981, 10123, 48995, 123349}},
+{12287, 17, 55848, {1, 1, 1, 7, 31, 47, 99, 15, 371, 343, 1483, 1985, 25, 11125, 8357, 10677, 130895}},
+{12288, 17, 55885, {1, 3, 1, 13, 25, 41, 83, 37, 129, 493, 641, 185, 6607, 7213, 13285, 10439, 73227}},
+{12289, 17, 55897, {1, 1, 5, 7, 17, 15, 93, 53, 281, 91, 115, 3675, 3081, 9825, 23653, 40095, 91803}},
+{12290, 17, 55904, {1, 1, 1, 5, 3, 25, 39, 207, 419, 361, 953, 2823, 8105, 15763, 29199, 61607, 32633}},
+{12291, 17, 55910, {1, 1, 3, 1, 31, 51, 55, 3, 277, 639, 191, 1783, 139, 29, 16659, 30199, 69109}},
+{12292, 17, 55919, {1, 1, 1, 7, 31, 59, 25, 13, 239, 617, 115, 1787, 5757, 9927, 2417, 37313, 115135}},
+{12293, 17, 55922, {1, 1, 3, 5, 19, 35, 5, 187, 483, 823, 1875, 163, 4235, 853, 23679, 50899, 94981}},
+{12294, 17, 55931, {1, 3, 3, 11, 9, 39, 121, 201, 189, 543, 1493, 1215, 351, 16063, 1701, 56559, 108053}},
+{12295, 17, 55933, {1, 3, 1, 7, 1, 39, 31, 163, 347, 307, 349, 4081, 1729, 16265, 363, 28297, 50631}},
+{12296, 17, 55937, {1, 3, 7, 13, 21, 55, 127, 161, 75, 9, 1285, 1839, 5283, 5667, 10979, 22185, 7581}},
+{12297, 17, 55943, {1, 1, 3, 5, 13, 45, 17, 181, 117, 395, 1685, 663, 3441, 5359, 7157, 27759, 102343}},
+{12298, 17, 55955, {1, 3, 1, 7, 7, 31, 97, 187, 383, 769, 1469, 4007, 5521, 13973, 49, 43823, 75649}},
+{12299, 17, 55957, {1, 3, 5, 7, 31, 13, 47, 11, 335, 961, 321, 3367, 1903, 503, 8409, 1101, 58215}},
+{12300, 17, 55968, {1, 1, 7, 7, 25, 49, 39, 1, 453, 419, 333, 1759, 2287, 6243, 10723, 13687, 56853}},
+{12301, 17, 55980, {1, 3, 3, 7, 11, 55, 125, 197, 19, 591, 1969, 511, 2501, 8429, 29467, 27917, 63457}},
+{12302, 17, 55986, {1, 1, 3, 11, 11, 43, 35, 213, 231, 119, 379, 3761, 4891, 5677, 20317, 5459, 55487}},
+{12303, 17, 55992, {1, 1, 5, 7, 21, 9, 127, 59, 97, 963, 847, 2131, 7907, 11409, 8785, 48197, 96907}},
+{12304, 17, 56005, {1, 3, 5, 3, 23, 7, 45, 95, 179, 691, 1571, 3091, 6359, 9105, 26021, 26925, 43}},
+{12305, 17, 56034, {1, 3, 3, 7, 21, 7, 11, 219, 439, 465, 1983, 117, 4639, 8387, 27637, 15883, 5567}},
+{12306, 17, 56051, {1, 1, 7, 3, 1, 3, 51, 205, 425, 133, 563, 1317, 533, 1227, 8361, 23407, 39825}},
+{12307, 17, 56054, {1, 1, 5, 3, 3, 39, 19, 69, 477, 605, 3, 1887, 2077, 13673, 2763, 64415, 104519}},
+{12308, 17, 56065, {1, 1, 5, 15, 11, 45, 89, 245, 177, 591, 1313, 587, 4781, 5103, 26401, 12643, 38959}},
+{12309, 17, 56080, {1, 1, 1, 5, 11, 13, 15, 95, 271, 99, 2001, 2701, 6065, 3527, 7423, 37525, 117161}},
+{12310, 17, 56101, {1, 3, 7, 7, 21, 17, 111, 149, 373, 591, 1461, 809, 3877, 8635, 13209, 31439, 64285}},
+{12311, 17, 56113, {1, 3, 1, 15, 25, 51, 55, 161, 357, 181, 41, 2345, 3553, 9917, 30123, 40683, 122497}},
+{12312, 17, 56126, {1, 3, 7, 15, 5, 55, 119, 239, 291, 665, 1537, 3309, 2519, 12397, 25897, 51529, 28673}},
+{12313, 17, 56131, {1, 1, 1, 9, 25, 45, 21, 119, 19, 145, 313, 2509, 1031, 3319, 14863, 10759, 22577}},
+{12314, 17, 56134, {1, 3, 1, 15, 1, 61, 87, 229, 511, 83, 79, 51, 1407, 16293, 26217, 25839, 86207}},
+{12315, 17, 56143, {1, 3, 7, 7, 23, 43, 89, 11, 43, 801, 569, 3273, 315, 9537, 681, 34783, 97101}},
+{12316, 17, 56148, {1, 1, 5, 1, 13, 31, 77, 115, 501, 669, 27, 3765, 6789, 9139, 30587, 45995, 102433}},
+{12317, 17, 56152, {1, 1, 7, 1, 15, 21, 57, 197, 243, 353, 71, 341, 7319, 8467, 9779, 15755, 4185}},
+{12318, 17, 56174, {1, 1, 1, 1, 17, 21, 3, 185, 277, 585, 265, 3189, 3975, 353, 8541, 23905, 21881}},
+{12319, 17, 56181, {1, 3, 5, 3, 5, 23, 113, 253, 343, 73, 1419, 2529, 4333, 2007, 14307, 60591, 55411}},
+{12320, 17, 56182, {1, 1, 7, 3, 25, 35, 109, 173, 351, 487, 1551, 3207, 1189, 5091, 3581, 4699, 22085}},
+{12321, 17, 56185, {1, 1, 3, 11, 9, 9, 71, 173, 17, 595, 2015, 2543, 4889, 6025, 15265, 6459, 3977}},
+{12322, 17, 56192, {1, 3, 5, 15, 11, 13, 11, 189, 431, 307, 317, 3131, 1421, 10863, 5311, 25273, 43187}},
+{12323, 17, 56201, {1, 1, 1, 7, 7, 41, 103, 231, 321, 327, 1849, 2485, 6461, 10259, 4577, 52951, 33053}},
+{12324, 17, 56215, {1, 3, 3, 15, 11, 33, 73, 155, 453, 597, 575, 2119, 327, 4227, 32271, 7429, 102007}},
+{12325, 17, 56219, {1, 1, 3, 7, 15, 9, 95, 177, 21, 245, 257, 3637, 821, 16351, 1733, 10635, 59885}},
+{12326, 17, 56222, {1, 1, 3, 7, 23, 41, 107, 147, 57, 877, 1609, 3275, 339, 12997, 5989, 62293, 21549}},
+{12327, 17, 56258, {1, 1, 7, 13, 19, 39, 111, 229, 321, 487, 873, 3365, 4915, 251, 30629, 45775, 73549}},
+{12328, 17, 56264, {1, 1, 1, 13, 25, 61, 43, 111, 135, 463, 1921, 1723, 7505, 13805, 30633, 51683, 7353}},
+{12329, 17, 56269, {1, 1, 1, 1, 31, 41, 35, 205, 375, 189, 635, 3589, 3507, 8131, 13437, 22823, 68451}},
+{12330, 17, 56272, {1, 3, 7, 5, 31, 47, 13, 229, 105, 195, 685, 529, 39, 2651, 6821, 11043, 112123}},
+{12331, 17, 56278, {1, 3, 7, 13, 3, 23, 21, 203, 89, 957, 1577, 1711, 585, 3937, 17681, 55577, 61075}},
+{12332, 17, 56282, {1, 3, 3, 3, 17, 37, 49, 7, 287, 183, 1185, 2979, 2103, 1217, 22105, 11677, 19603}},
+{12333, 17, 56306, {1, 1, 1, 9, 29, 35, 93, 179, 403, 563, 441, 3485, 6909, 12647, 3885, 60089, 29275}},
+{12334, 17, 56308, {1, 3, 3, 9, 15, 37, 49, 103, 509, 77, 495, 921, 2599, 14735, 30951, 22779, 47747}},
+{12335, 17, 56318, {1, 3, 3, 11, 17, 45, 43, 235, 379, 51, 925, 89, 2241, 10273, 27649, 8101, 93977}},
+{12336, 17, 56329, {1, 3, 3, 3, 11, 7, 25, 163, 405, 997, 847, 2743, 4705, 7041, 10997, 50189, 10775}},
+{12337, 17, 56356, {1, 1, 1, 13, 19, 43, 3, 125, 37, 41, 5, 965, 2681, 3737, 29057, 37777, 119537}},
+{12338, 17, 56360, {1, 1, 1, 1, 11, 27, 101, 67, 73, 199, 1739, 2835, 5837, 10595, 9865, 38493, 99323}},
+{12339, 17, 56383, {1, 3, 1, 13, 27, 43, 21, 79, 419, 847, 843, 2563, 8133, 10295, 10127, 30839, 104863}},
+{12340, 17, 56388, {1, 3, 3, 11, 15, 37, 71, 251, 157, 971, 165, 1647, 2583, 205, 23555, 55297, 106893}},
+{12341, 17, 56391, {1, 1, 5, 15, 1, 21, 113, 107, 287, 727, 71, 2655, 1435, 11125, 15257, 18899, 37737}},
+{12342, 17, 56405, {1, 1, 3, 3, 27, 49, 17, 85, 57, 237, 349, 4049, 1103, 2523, 3919, 36587, 128595}},
+{12343, 17, 56406, {1, 3, 5, 9, 13, 1, 65, 13, 361, 409, 413, 2153, 5953, 10651, 25383, 49777, 65399}},
+{12344, 17, 56416, {1, 1, 7, 9, 19, 47, 69, 127, 121, 925, 57, 2775, 4981, 3643, 4077, 3081, 56093}},
+{12345, 17, 56426, {1, 3, 3, 13, 1, 53, 45, 13, 489, 445, 623, 3547, 1659, 1899, 11971, 3725, 12445}},
+{12346, 17, 56439, {1, 3, 7, 11, 13, 9, 59, 157, 125, 975, 1283, 297, 3609, 3179, 31341, 54727, 112515}},
+{12347, 17, 56446, {1, 1, 1, 13, 23, 63, 69, 249, 159, 593, 47, 3957, 757, 14693, 26345, 18839, 111263}},
+{12348, 17, 56450, {1, 1, 1, 1, 31, 37, 37, 199, 7, 425, 337, 1475, 271, 16215, 12089, 16765, 13519}},
+{12349, 17, 56459, {1, 1, 7, 11, 31, 59, 121, 139, 413, 807, 737, 1235, 3505, 5859, 14205, 31939, 4713}},
+{12350, 17, 56461, {1, 1, 1, 9, 21, 51, 113, 159, 345, 807, 635, 523, 5535, 13307, 4239, 14847, 23711}},
+{12351, 17, 56464, {1, 3, 5, 13, 31, 7, 33, 1, 293, 271, 1829, 2535, 6333, 12037, 29401, 35009, 37789}},
+{12352, 17, 56469, {1, 1, 7, 3, 7, 57, 31, 45, 177, 475, 843, 1265, 585, 16099, 29293, 52407, 56131}},
+{12353, 17, 56489, {1, 3, 3, 11, 1, 25, 117, 205, 139, 141, 1229, 903, 1883, 11269, 30493, 3979, 4263}},
+{12354, 17, 56490, {1, 1, 5, 13, 25, 43, 9, 237, 347, 869, 1765, 1389, 1931, 13331, 17325, 45999, 121201}},
+{12355, 17, 56497, {1, 3, 3, 11, 3, 13, 95, 49, 389, 53, 491, 1467, 5105, 16053, 6305, 15759, 51991}},
+{12356, 17, 56509, {1, 3, 5, 15, 1, 53, 85, 69, 75, 409, 1299, 1245, 7951, 10709, 9157, 3509, 103975}},
+{12357, 17, 56515, {1, 1, 1, 13, 1, 33, 97, 235, 463, 413, 1759, 1891, 1781, 5261, 5759, 201, 69199}},
+{12358, 17, 56518, {1, 1, 3, 13, 21, 27, 101, 143, 123, 705, 969, 2461, 6057, 13091, 6077, 38311, 30379}},
+{12359, 17, 56524, {1, 3, 3, 1, 13, 11, 73, 33, 495, 513, 763, 3089, 421, 13663, 30169, 56599, 38847}},
+{12360, 17, 56535, {1, 1, 7, 13, 13, 31, 91, 63, 233, 137, 859, 2449, 539, 12461, 13477, 31605, 58919}},
+{12361, 17, 56542, {1, 1, 1, 9, 13, 49, 107, 45, 451, 707, 1735, 1881, 3451, 9131, 25481, 10841, 116067}},
+{12362, 17, 56545, {1, 3, 7, 1, 27, 21, 51, 117, 63, 53, 575, 3325, 1099, 11181, 23609, 47141, 115421}},
+{12363, 17, 56551, {1, 3, 1, 13, 25, 29, 53, 135, 165, 319, 1695, 341, 8157, 10671, 7095, 60749, 31513}},
+{12364, 17, 56555, {1, 1, 7, 5, 3, 53, 123, 137, 449, 87, 951, 693, 6943, 15331, 1515, 24019, 56613}},
+{12365, 17, 56560, {1, 3, 7, 5, 25, 17, 43, 251, 301, 203, 633, 1271, 6253, 4475, 10773, 25003, 67599}},
+{12366, 17, 56569, {1, 1, 3, 9, 1, 25, 117, 159, 13, 155, 851, 2497, 6155, 6549, 27909, 24423, 82357}},
+{12367, 17, 56580, {1, 1, 1, 1, 21, 59, 103, 43, 291, 111, 1355, 401, 5129, 16017, 25947, 15391, 46745}},
+{12368, 17, 56584, {1, 1, 1, 13, 13, 51, 95, 111, 17, 963, 1535, 3003, 6163, 11377, 6787, 57275, 109559}},
+{12369, 17, 56598, {1, 1, 5, 11, 11, 3, 85, 207, 489, 117, 269, 747, 5719, 8501, 7307, 59223, 18941}},
+{12370, 17, 56601, {1, 1, 5, 1, 9, 53, 41, 255, 271, 995, 1939, 2739, 2221, 14841, 22617, 10643, 6427}},
+{12371, 17, 56602, {1, 3, 3, 9, 7, 55, 109, 143, 427, 45, 579, 115, 2061, 8447, 29469, 5523, 129063}},
+{12372, 17, 56623, {1, 3, 7, 5, 23, 63, 119, 31, 53, 821, 135, 2677, 807, 4685, 24391, 55165, 88079}},
+{12373, 17, 56637, {1, 3, 5, 9, 15, 11, 73, 177, 243, 375, 115, 1633, 7983, 15039, 21169, 25325, 128479}},
+{12374, 17, 56638, {1, 3, 3, 5, 21, 51, 13, 51, 75, 993, 77, 209, 2761, 451, 11987, 40297, 2383}},
+{12375, 17, 56643, {1, 3, 7, 1, 19, 9, 11, 161, 19, 851, 1313, 1169, 4405, 7493, 23935, 37323, 107387}},
+{12376, 17, 56650, {1, 3, 5, 15, 5, 11, 79, 129, 507, 247, 811, 1145, 3893, 5205, 11309, 38205, 2051}},
+{12377, 17, 56673, {1, 1, 5, 1, 11, 13, 33, 155, 21, 185, 771, 3261, 981, 743, 12479, 22611, 25321}},
+{12378, 17, 56676, {1, 1, 5, 9, 7, 25, 11, 235, 429, 563, 1647, 1429, 1385, 14411, 3831, 19769, 67599}},
+{12379, 17, 56686, {1, 3, 3, 5, 5, 7, 109, 117, 251, 823, 669, 2043, 1843, 11829, 27051, 35865, 11461}},
+{12380, 17, 56704, {1, 3, 5, 5, 7, 3, 45, 63, 305, 99, 393, 1765, 1711, 15569, 27295, 16555, 77631}},
+{12381, 17, 56710, {1, 3, 5, 11, 23, 33, 49, 125, 85, 677, 1589, 2667, 5723, 15619, 30415, 39561, 122763}},
+{12382, 17, 56721, {1, 3, 7, 13, 27, 21, 99, 209, 481, 123, 1285, 115, 6517, 11753, 11365, 44959, 89}},
+{12383, 17, 56731, {1, 1, 1, 7, 15, 15, 45, 151, 489, 169, 933, 2987, 657, 3095, 6745, 131, 37767}},
+{12384, 17, 56738, {1, 3, 1, 15, 1, 37, 99, 137, 151, 891, 715, 383, 1293, 719, 10957, 5557, 92841}},
+{12385, 17, 56747, {1, 1, 1, 3, 27, 59, 93, 49, 473, 313, 431, 1129, 5995, 13101, 13185, 7091, 109677}},
+{12386, 17, 56750, {1, 3, 3, 7, 1, 41, 55, 135, 271, 527, 1919, 1093, 2579, 3725, 22853, 31613, 4729}},
+{12387, 17, 56752, {1, 1, 7, 1, 7, 13, 63, 255, 219, 837, 117, 2323, 4295, 15697, 8607, 47047, 117869}},
+{12388, 17, 56757, {1, 1, 1, 7, 29, 29, 55, 171, 437, 733, 491, 1037, 7221, 5705, 31819, 19583, 103991}},
+{12389, 17, 56787, {1, 3, 7, 1, 31, 19, 65, 39, 151, 517, 1985, 2251, 6147, 12983, 28263, 35891, 7545}},
+{12390, 17, 56796, {1, 1, 7, 7, 21, 41, 97, 253, 427, 391, 849, 611, 4827, 10807, 6267, 22513, 62803}},
+{12391, 17, 56803, {1, 3, 7, 7, 25, 9, 49, 245, 491, 39, 603, 1853, 5655, 3517, 10745, 55069, 121497}},
+{12392, 17, 56812, {1, 3, 1, 5, 9, 39, 109, 195, 283, 141, 2007, 3, 1267, 13053, 8387, 48665, 48877}},
+{12393, 17, 56815, {1, 1, 3, 7, 27, 61, 49, 43, 229, 497, 2015, 1345, 3195, 7139, 13453, 56993, 15099}},
+{12394, 17, 56824, {1, 3, 5, 11, 31, 53, 87, 97, 385, 387, 1107, 3287, 2517, 7421, 1007, 37421, 124113}},
+{12395, 17, 56829, {1, 3, 3, 11, 9, 55, 51, 215, 181, 419, 863, 3149, 5815, 15579, 28527, 34715, 61375}},
+{12396, 17, 56833, {1, 3, 3, 3, 31, 57, 5, 35, 445, 957, 1897, 105, 2533, 10255, 19795, 49127, 38491}},
+{12397, 17, 56839, {1, 3, 3, 13, 25, 53, 1, 159, 443, 541, 439, 3377, 5511, 9667, 26777, 32599, 36981}},
+{12398, 17, 56840, {1, 1, 1, 3, 23, 29, 97, 131, 59, 143, 1601, 2765, 4569, 11081, 6027, 38641, 100745}},
+{12399, 17, 56845, {1, 3, 3, 15, 9, 15, 19, 35, 321, 935, 465, 2707, 4799, 7455, 12743, 31029, 114149}},
+{12400, 17, 56853, {1, 1, 1, 1, 11, 51, 23, 79, 387, 701, 107, 623, 231, 12571, 7719, 3061, 79605}},
+{12401, 17, 56854, {1, 3, 5, 15, 17, 49, 109, 83, 185, 295, 853, 219, 3615, 535, 32001, 6655, 4185}},
+{12402, 17, 56858, {1, 3, 3, 15, 15, 7, 35, 151, 305, 705, 1383, 1595, 5595, 11995, 15491, 49119, 83383}},
+{12403, 17, 56863, {1, 3, 7, 9, 3, 25, 57, 47, 359, 719, 1937, 1403, 1399, 10827, 24181, 29141, 79017}},
+{12404, 17, 56864, {1, 3, 5, 1, 1, 21, 21, 245, 361, 485, 1521, 3935, 1587, 8653, 25871, 49449, 103413}},
+{12405, 17, 56881, {1, 3, 3, 3, 9, 61, 31, 69, 401, 261, 1217, 3069, 4045, 12437, 32017, 15113, 10769}},
+{12406, 17, 56882, {1, 3, 1, 1, 21, 33, 123, 87, 481, 793, 625, 4087, 1361, 11077, 18835, 13287, 40107}},
+{12407, 17, 56896, {1, 3, 7, 3, 9, 49, 101, 213, 467, 77, 1691, 2621, 4411, 8025, 30247, 13691, 20559}},
+{12408, 17, 56901, {1, 1, 1, 9, 29, 49, 47, 135, 1, 337, 1649, 389, 3845, 7213, 19527, 2619, 78841}},
+{12409, 17, 56902, {1, 3, 7, 9, 23, 23, 47, 97, 493, 767, 137, 1467, 7015, 2883, 12749, 9267, 12441}},
+{12410, 17, 56908, {1, 1, 3, 15, 9, 57, 53, 19, 401, 385, 1159, 1185, 6977, 14027, 3183, 59119, 42065}},
+{12411, 17, 56923, {1, 1, 1, 15, 21, 33, 83, 251, 147, 395, 321, 443, 6893, 1877, 6687, 28863, 86531}},
+{12412, 17, 56925, {1, 3, 3, 1, 3, 47, 27, 247, 121, 827, 1399, 4079, 7545, 11691, 27915, 28811, 17099}},
+{12413, 17, 56926, {1, 3, 5, 7, 5, 59, 73, 69, 117, 897, 905, 3273, 2935, 11077, 32443, 60959, 16081}},
+{12414, 17, 56932, {1, 1, 7, 5, 27, 49, 107, 169, 75, 435, 1913, 2089, 5733, 2361, 5163, 52239, 87411}},
+{12415, 17, 56939, {1, 1, 7, 13, 1, 13, 123, 89, 427, 301, 1217, 1491, 5361, 10381, 28971, 57655, 108607}},
+{12416, 17, 56947, {1, 1, 7, 11, 13, 5, 23, 151, 117, 369, 623, 2263, 2609, 109, 32485, 52133, 69391}},
+{12417, 17, 56954, {1, 3, 7, 11, 7, 33, 127, 43, 123, 203, 775, 3215, 5115, 1805, 14581, 46791, 128781}},
+{12418, 17, 56970, {1, 3, 3, 1, 7, 23, 37, 99, 1, 719, 293, 2727, 6859, 683, 13241, 17839, 4215}},
+{12419, 17, 56972, {1, 1, 1, 13, 27, 41, 93, 25, 59, 947, 971, 1523, 4443, 1209, 32317, 58651, 11121}},
+{12420, 17, 56977, {1, 1, 1, 3, 31, 33, 23, 87, 349, 265, 445, 3489, 783, 7833, 5767, 59295, 45057}},
+{12421, 17, 56980, {1, 1, 1, 1, 15, 47, 19, 15, 217, 837, 2043, 2805, 4701, 5873, 1517, 46743, 61655}},
+{12422, 17, 56993, {1, 3, 7, 1, 27, 27, 9, 107, 25, 897, 955, 3763, 821, 1535, 14557, 38537, 128737}},
+{12423, 17, 57013, {1, 3, 3, 7, 19, 49, 121, 217, 401, 975, 1189, 715, 3113, 4219, 4885, 57861, 6833}},
+{12424, 17, 57017, {1, 3, 3, 1, 17, 59, 53, 15, 259, 791, 2035, 499, 7707, 13685, 14367, 20155, 91033}},
+{12425, 17, 57018, {1, 3, 5, 5, 11, 11, 69, 237, 139, 73, 541, 1135, 2647, 14109, 18113, 8051, 31917}},
+{12426, 17, 57031, {1, 1, 1, 15, 11, 23, 89, 181, 295, 743, 29, 4009, 4683, 13989, 4575, 38865, 30449}},
+{12427, 17, 57059, {1, 1, 1, 11, 21, 63, 31, 121, 55, 153, 1143, 4059, 3247, 11725, 17659, 48935, 118369}},
+{12428, 17, 57062, {1, 1, 7, 9, 17, 29, 27, 167, 69, 957, 2009, 2795, 3161, 3493, 16365, 43637, 102321}},
+{12429, 17, 57065, {1, 3, 5, 13, 27, 23, 17, 7, 345, 253, 631, 1389, 2523, 9993, 32619, 46731, 4757}},
+{12430, 17, 57071, {1, 1, 1, 11, 17, 1, 41, 107, 25, 183, 1361, 1211, 3607, 12713, 16011, 42987, 36415}},
+{12431, 17, 57083, {1, 1, 7, 5, 13, 29, 33, 69, 261, 213, 73, 3737, 3867, 503, 28225, 53735, 91695}},
+{12432, 17, 57093, {1, 3, 7, 7, 21, 63, 75, 39, 259, 367, 487, 2087, 5411, 1925, 29589, 39019, 73283}},
+{12433, 17, 57097, {1, 3, 1, 7, 29, 29, 25, 191, 91, 509, 1485, 853, 7011, 13321, 27769, 10249, 87341}},
+{12434, 17, 57106, {1, 1, 7, 7, 1, 9, 115, 71, 321, 913, 1679, 2129, 771, 9217, 4731, 24353, 35631}},
+{12435, 17, 57118, {1, 3, 1, 13, 5, 45, 53, 255, 429, 805, 1983, 1437, 2677, 6337, 22221, 55455, 39855}},
+{12436, 17, 57133, {1, 1, 1, 1, 1, 5, 111, 231, 321, 961, 371, 3825, 3623, 3985, 32151, 6113, 130687}},
+{12437, 17, 57134, {1, 3, 7, 3, 15, 29, 103, 181, 261, 149, 1161, 1745, 1765, 1677, 20051, 47033, 84997}},
+{12438, 17, 57141, {1, 3, 7, 1, 25, 21, 7, 229, 407, 673, 1525, 1207, 3099, 14849, 22103, 45695, 85951}},
+{12439, 17, 57146, {1, 3, 7, 1, 9, 5, 105, 149, 181, 81, 1589, 3477, 5387, 7943, 29203, 50355, 39001}},
+{12440, 17, 57156, {1, 3, 7, 1, 21, 31, 39, 121, 397, 1023, 711, 623, 6193, 12315, 11101, 11911, 50033}},
+{12441, 17, 57174, {1, 3, 7, 3, 7, 19, 73, 69, 201, 337, 1037, 3663, 2679, 5153, 28171, 24455, 74685}},
+{12442, 17, 57183, {1, 3, 1, 1, 21, 35, 121, 111, 217, 809, 507, 1347, 4439, 4601, 26371, 23595, 3583}},
+{12443, 17, 57189, {1, 3, 3, 7, 1, 51, 83, 231, 419, 597, 305, 3405, 5831, 11845, 1861, 48671, 105315}},
+{12444, 17, 57190, {1, 3, 1, 15, 25, 37, 103, 141, 495, 727, 1919, 2821, 4689, 6727, 27117, 2259, 54559}},
+{12445, 17, 57193, {1, 3, 5, 3, 27, 55, 5, 117, 199, 979, 1745, 401, 7967, 5345, 29747, 54085, 124765}},
+{12446, 17, 57196, {1, 3, 3, 15, 23, 61, 1, 29, 489, 131, 583, 389, 6033, 8007, 22933, 44513, 111845}},
+{12447, 17, 57207, {1, 1, 7, 13, 3, 55, 119, 147, 181, 485, 793, 3593, 6971, 2227, 28507, 62393, 127303}},
+{12448, 17, 57211, {1, 1, 5, 3, 29, 53, 37, 59, 213, 283, 1809, 3685, 2677, 5761, 19705, 47079, 3477}},
+{12449, 17, 57214, {1, 1, 1, 7, 21, 63, 91, 13, 347, 605, 589, 415, 5737, 10281, 30941, 25609, 67973}},
+{12450, 17, 57218, {1, 1, 3, 1, 27, 49, 87, 161, 507, 693, 59, 1375, 6737, 1029, 14731, 32335, 51961}},
+{12451, 17, 57230, {1, 3, 3, 9, 11, 15, 121, 121, 151, 335, 221, 3099, 1999, 1047, 20891, 23015, 95809}},
+{12452, 17, 57235, {1, 1, 7, 7, 1, 49, 63, 227, 113, 161, 863, 801, 2559, 7737, 27619, 27419, 128009}},
+{12453, 17, 57241, {1, 1, 7, 1, 25, 59, 67, 111, 435, 309, 807, 2107, 8077, 9671, 6739, 53757, 41259}},
+{12454, 17, 57251, {1, 3, 7, 3, 3, 19, 7, 111, 237, 981, 1717, 3131, 6631, 467, 13103, 61435, 126469}},
+{12455, 17, 57260, {1, 1, 7, 9, 19, 31, 59, 185, 199, 111, 351, 611, 6355, 1095, 28549, 32871, 44537}},
+{12456, 17, 57263, {1, 1, 3, 11, 23, 25, 31, 1, 461, 83, 1723, 1711, 3679, 10963, 14927, 17377, 911}},
+{12457, 17, 57265, {1, 1, 5, 13, 3, 37, 127, 159, 199, 223, 1097, 3033, 5825, 13777, 22189, 44305, 20509}},
+{12458, 17, 57271, {1, 1, 5, 15, 13, 49, 17, 79, 289, 601, 1023, 657, 1687, 14477, 15929, 4279, 68007}},
+{12459, 17, 57272, {1, 1, 5, 7, 29, 3, 45, 225, 65, 711, 1039, 3585, 4957, 9041, 22761, 26649, 95627}},
+{12460, 17, 57290, {1, 3, 5, 5, 13, 29, 33, 211, 461, 799, 1437, 1057, 485, 9535, 8133, 57527, 12873}},
+{12461, 17, 57295, {1, 1, 3, 3, 15, 43, 53, 15, 395, 561, 1371, 3543, 7707, 2399, 13311, 25641, 58865}},
+{12462, 17, 57298, {1, 3, 1, 7, 1, 9, 115, 39, 249, 87, 835, 97, 8137, 6665, 11951, 21045, 76387}},
+{12463, 17, 57325, {1, 3, 3, 9, 5, 63, 115, 163, 331, 1007, 733, 4027, 2911, 5329, 6967, 3535, 107293}},
+{12464, 17, 57328, {1, 3, 1, 11, 5, 55, 81, 63, 345, 535, 1093, 207, 4053, 9129, 10397, 26641, 95171}},
+{12465, 17, 57340, {1, 1, 3, 3, 13, 27, 65, 37, 255, 69, 19, 2565, 4329, 11223, 18131, 18701, 31111}},
+{12466, 17, 57344, {1, 3, 7, 7, 25, 57, 81, 189, 227, 377, 829, 1583, 1343, 4643, 23485, 47463, 83535}},
+{12467, 17, 57353, {1, 3, 5, 9, 13, 33, 103, 75, 501, 803, 427, 1171, 1187, 2655, 24187, 32907, 120239}},
+{12468, 17, 57368, {1, 3, 1, 7, 31, 63, 21, 137, 241, 63, 1925, 2193, 1135, 11159, 14685, 28397, 59}},
+{12469, 17, 57371, {1, 1, 7, 1, 15, 7, 85, 87, 493, 63, 561, 1069, 5481, 12253, 25149, 35283, 16123}},
+{12470, 17, 57383, {1, 3, 3, 5, 19, 17, 23, 95, 429, 805, 1343, 2243, 233, 7219, 6549, 21477, 83679}},
+{12471, 17, 57402, {1, 3, 3, 1, 3, 55, 83, 107, 131, 311, 741, 781, 6227, 10059, 3903, 235, 45971}},
+{12472, 17, 57407, {1, 1, 3, 13, 21, 43, 79, 149, 367, 755, 463, 221, 5117, 7015, 17599, 64665, 37443}},
+{12473, 17, 57419, {1, 1, 7, 15, 3, 59, 107, 13, 213, 287, 1505, 2131, 6965, 12873, 23973, 8449, 24829}},
+{12474, 17, 57424, {1, 3, 5, 11, 25, 45, 39, 17, 175, 749, 1179, 3349, 6723, 12543, 3557, 34521, 103197}},
+{12475, 17, 57433, {1, 1, 3, 13, 23, 41, 21, 25, 91, 941, 879, 4015, 137, 12949, 17245, 41903, 39803}},
+{12476, 17, 57452, {1, 1, 7, 15, 11, 33, 45, 127, 321, 895, 1543, 4013, 6179, 14209, 13317, 46803, 99891}},
+{12477, 17, 57458, {1, 3, 3, 13, 13, 11, 101, 11, 177, 869, 509, 2323, 449, 16379, 31965, 2899, 59229}},
+{12478, 17, 57467, {1, 1, 5, 7, 15, 37, 113, 237, 463, 489, 1145, 1629, 3101, 10305, 31705, 29957, 99665}},
+{12479, 17, 57470, {1, 3, 5, 7, 21, 29, 45, 133, 367, 657, 1315, 537, 6069, 8141, 31479, 32983, 57}},
+{12480, 17, 57473, {1, 1, 3, 9, 13, 39, 109, 125, 467, 975, 829, 4007, 773, 6639, 8793, 4579, 60547}},
+{12481, 17, 57479, {1, 1, 1, 15, 21, 5, 113, 51, 159, 501, 1921, 4095, 5603, 16055, 16649, 50229, 49863}},
+{12482, 17, 57480, {1, 1, 5, 13, 9, 21, 77, 187, 355, 299, 1017, 491, 6725, 4177, 16739, 15909, 84069}},
+{12483, 17, 57486, {1, 3, 7, 5, 13, 13, 51, 19, 159, 339, 735, 933, 2523, 11435, 20793, 21975, 19007}},
+{12484, 17, 57491, {1, 1, 7, 5, 1, 11, 61, 111, 129, 643, 1741, 945, 7349, 11579, 24793, 1751, 2367}},
+{12485, 17, 57493, {1, 1, 5, 5, 29, 45, 63, 177, 507, 277, 1789, 729, 4277, 10099, 28985, 43009, 2319}},
+{12486, 17, 57524, {1, 3, 3, 13, 19, 53, 73, 227, 487, 131, 1227, 3735, 3979, 7383, 6923, 31979, 6651}},
+{12487, 17, 57528, {1, 3, 3, 15, 7, 47, 31, 255, 317, 621, 497, 4069, 5249, 15093, 18013, 6891, 81893}},
+{12488, 17, 57534, {1, 1, 7, 5, 17, 23, 119, 27, 55, 555, 221, 2693, 1757, 11117, 23409, 21135, 122977}},
+{12489, 17, 57542, {1, 1, 5, 1, 15, 17, 127, 109, 75, 1017, 1167, 2975, 3249, 5399, 12599, 50779, 78215}},
+{12490, 17, 57560, {1, 3, 5, 5, 1, 13, 65, 199, 101, 75, 513, 493, 6931, 9363, 5607, 16331, 69219}},
+{12491, 17, 57565, {1, 1, 1, 15, 19, 37, 63, 177, 397, 645, 905, 1599, 609, 14291, 14681, 46719, 117745}},
+{12492, 17, 57570, {1, 3, 7, 13, 3, 57, 63, 49, 67, 913, 1659, 1857, 3595, 9219, 11341, 39735, 82275}},
+{12493, 17, 57579, {1, 1, 5, 11, 19, 1, 5, 181, 55, 763, 469, 2417, 2349, 12437, 22589, 17867, 95701}},
+{12494, 17, 57590, {1, 3, 7, 13, 1, 9, 11, 159, 103, 737, 1989, 59, 4711, 8093, 31703, 45663, 92913}},
+{12495, 17, 57601, {1, 3, 3, 11, 15, 9, 35, 217, 299, 479, 1539, 2605, 2003, 8841, 27261, 28853, 98877}},
+{12496, 17, 57604, {1, 1, 5, 5, 15, 45, 73, 159, 205, 1017, 159, 3659, 2377, 3651, 6489, 19711, 109959}},
+{12497, 17, 57607, {1, 1, 3, 15, 7, 41, 7, 47, 357, 433, 211, 111, 2565, 8637, 15917, 47887, 128513}},
+{12498, 17, 57621, {1, 3, 7, 3, 25, 9, 33, 33, 5, 805, 1541, 3333, 7257, 9011, 4813, 53195, 52469}},
+{12499, 17, 57635, {1, 1, 7, 15, 27, 3, 11, 57, 415, 371, 563, 2515, 149, 6555, 31273, 51465, 2989}},
+{12500, 17, 57642, {1, 1, 1, 11, 3, 41, 25, 175, 499, 879, 1145, 1083, 7857, 10497, 16991, 23351, 115353}},
+{12501, 17, 57650, {1, 1, 3, 15, 15, 9, 39, 239, 285, 413, 989, 2927, 7205, 79, 20101, 30115, 113933}},
+{12502, 17, 57655, {1, 1, 7, 5, 13, 29, 29, 69, 25, 533, 1731, 1391, 4065, 12597, 19167, 51989, 101273}},
+{12503, 17, 57670, {1, 1, 5, 3, 9, 41, 83, 127, 197, 627, 173, 273, 593, 15733, 19285, 26517, 107877}},
+{12504, 17, 57676, {1, 1, 1, 5, 29, 17, 89, 163, 125, 473, 1577, 2435, 3379, 3057, 1829, 64325, 111719}},
+{12505, 17, 57682, {1, 3, 1, 11, 1, 29, 97, 53, 421, 941, 1737, 3337, 2715, 1633, 28485, 30369, 116047}},
+{12506, 17, 57687, {1, 1, 5, 13, 25, 43, 39, 85, 385, 129, 819, 1647, 3527, 12319, 573, 58703, 29463}},
+{12507, 17, 57691, {1, 3, 3, 9, 23, 59, 31, 215, 49, 451, 645, 3687, 4507, 9359, 28161, 34609, 123409}},
+{12508, 17, 57700, {1, 3, 1, 9, 13, 25, 97, 239, 203, 31, 1465, 1089, 7665, 3007, 22465, 28389, 119869}},
+{12509, 17, 57704, {1, 3, 3, 1, 29, 51, 19, 83, 443, 193, 647, 3125, 7269, 3031, 9967, 40447, 102179}},
+{12510, 17, 57707, {1, 3, 5, 15, 5, 63, 125, 55, 295, 787, 559, 3309, 7491, 9907, 5775, 15155, 41793}},
+{12511, 17, 57721, {1, 3, 7, 7, 21, 61, 125, 207, 43, 159, 539, 435, 1945, 725, 797, 47489, 43099}},
+{12512, 17, 57731, {1, 1, 5, 7, 11, 11, 61, 103, 23, 693, 493, 1045, 4435, 9009, 22075, 24839, 125431}},
+{12513, 17, 57733, {1, 3, 1, 9, 13, 61, 83, 181, 373, 949, 1397, 247, 5079, 10933, 31887, 14147, 55121}},
+{12514, 17, 57738, {1, 1, 7, 15, 31, 47, 87, 219, 357, 409, 943, 2993, 7615, 7071, 14179, 41489, 104401}},
+{12515, 17, 57745, {1, 3, 3, 1, 11, 15, 87, 241, 389, 761, 1523, 3049, 2111, 11581, 5493, 11301, 32017}},
+{12516, 17, 57748, {1, 1, 7, 11, 29, 39, 37, 63, 411, 671, 1789, 3541, 5651, 11721, 10871, 53867, 112895}},
+{12517, 17, 57751, {1, 3, 3, 1, 23, 21, 99, 161, 467, 197, 1263, 451, 5469, 7667, 22139, 31599, 8345}},
+{12518, 17, 57757, {1, 3, 1, 3, 11, 41, 13, 79, 3, 377, 1865, 2297, 1383, 14033, 17141, 24787, 127911}},
+{12519, 17, 57761, {1, 1, 1, 1, 5, 11, 5, 181, 323, 853, 831, 1599, 3939, 6391, 22817, 37969, 9997}},
+{12520, 17, 57774, {1, 1, 3, 11, 29, 61, 11, 171, 181, 631, 757, 3879, 4779, 16183, 5969, 7909, 42855}},
+{12521, 17, 57779, {1, 3, 3, 15, 19, 17, 107, 187, 19, 743, 909, 1963, 2131, 2107, 659, 35829, 57905}},
+{12522, 17, 57786, {1, 1, 7, 1, 31, 29, 67, 99, 353, 715, 65, 3907, 1931, 1289, 9217, 60635, 32737}},
+{12523, 17, 57808, {1, 3, 3, 13, 3, 17, 19, 173, 263, 203, 1233, 1407, 933, 8905, 26905, 63343, 64963}},
+{12524, 17, 57814, {1, 3, 1, 13, 21, 43, 97, 79, 163, 529, 1571, 1027, 4339, 16235, 9189, 29203, 36789}},
+{12525, 17, 57817, {1, 1, 7, 1, 31, 1, 117, 247, 193, 333, 1797, 3515, 285, 2803, 25345, 9101, 110569}},
+{12526, 17, 57824, {1, 1, 5, 11, 17, 63, 45, 167, 35, 925, 569, 3687, 6739, 12453, 26171, 28249, 73827}},
+{12527, 17, 57827, {1, 1, 5, 1, 19, 49, 107, 183, 435, 305, 1191, 2711, 891, 15813, 13449, 23489, 89749}},
+{12528, 17, 57848, {1, 1, 1, 11, 7, 53, 105, 17, 433, 351, 1151, 4077, 5371, 10183, 18895, 13229, 101219}},
+{12529, 17, 57853, {1, 3, 7, 9, 21, 33, 27, 125, 177, 607, 817, 2689, 2123, 2037, 29643, 27219, 44591}},
+{12530, 17, 57857, {1, 3, 5, 11, 27, 51, 29, 161, 469, 349, 1445, 3613, 1487, 961, 29017, 2235, 45905}},
+{12531, 17, 57858, {1, 1, 3, 11, 7, 15, 37, 195, 329, 875, 559, 1361, 7373, 7143, 15059, 59205, 37167}},
+{12532, 17, 57867, {1, 1, 5, 1, 7, 25, 27, 211, 301, 369, 227, 123, 4415, 15993, 4829, 43801, 83639}},
+{12533, 17, 57872, {1, 1, 3, 5, 25, 37, 31, 205, 69, 275, 855, 1407, 2989, 11001, 16963, 31497, 3505}},
+{12534, 17, 57887, {1, 1, 7, 7, 25, 33, 81, 181, 197, 717, 207, 535, 8083, 5765, 2523, 40347, 27245}},
+{12535, 17, 57894, {1, 3, 1, 5, 13, 3, 107, 143, 233, 419, 1831, 2149, 7277, 13449, 31609, 48345, 82621}},
+{12536, 17, 57915, {1, 3, 5, 9, 31, 35, 39, 113, 415, 803, 1479, 3169, 8015, 4659, 2445, 9159, 91625}},
+{12537, 17, 57920, {1, 3, 1, 5, 27, 25, 83, 165, 459, 955, 1535, 377, 5531, 2945, 18285, 18097, 21589}},
+{12538, 17, 57923, {1, 1, 1, 15, 13, 23, 11, 159, 471, 951, 1971, 677, 2641, 3227, 14761, 39421, 29841}},
+{12539, 17, 57932, {1, 1, 7, 11, 19, 37, 101, 97, 373, 559, 105, 905, 897, 15309, 14979, 52029, 38989}},
+{12540, 17, 57937, {1, 1, 5, 15, 31, 43, 71, 75, 481, 997, 5, 1005, 4987, 7907, 16237, 43075, 94827}},
+{12541, 17, 57943, {1, 3, 5, 11, 23, 55, 123, 91, 183, 307, 97, 1999, 3341, 4717, 19643, 9455, 26555}},
+{12542, 17, 57950, {1, 1, 7, 3, 29, 61, 75, 197, 125, 579, 145, 1333, 85, 15655, 28177, 6169, 43289}},
+{12543, 17, 57960, {1, 3, 7, 13, 21, 15, 1, 221, 293, 991, 35, 2701, 2909, 7333, 27319, 32281, 77861}},
+{12544, 17, 57971, {1, 1, 3, 1, 17, 11, 81, 209, 499, 125, 105, 2987, 3891, 9531, 27963, 39611, 43633}},
+{12545, 17, 57974, {1, 3, 3, 3, 29, 45, 51, 63, 209, 75, 1321, 4055, 7851, 12329, 8371, 59513, 49105}},
+{12546, 17, 57983, {1, 1, 7, 5, 9, 63, 59, 127, 445, 899, 1857, 3737, 625, 15021, 25177, 21007, 25935}},
+{12547, 17, 57987, {1, 1, 5, 9, 9, 57, 25, 63, 235, 191, 1527, 1783, 1401, 1813, 2553, 1241, 100029}},
+{12548, 17, 57994, {1, 3, 1, 11, 27, 5, 49, 39, 505, 653, 1083, 921, 1045, 11337, 25499, 36211, 75851}},
+{12549, 17, 58001, {1, 3, 3, 1, 29, 19, 71, 93, 223, 153, 561, 1657, 5821, 14181, 1275, 24633, 114787}},
+{12550, 17, 58002, {1, 1, 1, 9, 7, 13, 17, 239, 457, 731, 1811, 3015, 4465, 5865, 2387, 30455, 17405}},
+{12551, 17, 58013, {1, 3, 5, 1, 7, 45, 117, 207, 7, 645, 131, 863, 6443, 14455, 11885, 39257, 126431}},
+{12552, 17, 58023, {1, 1, 3, 5, 17, 23, 3, 27, 475, 731, 431, 1967, 981, 12727, 1301, 17647, 62481}},
+{12553, 17, 58027, {1, 1, 1, 13, 11, 53, 105, 109, 105, 461, 1787, 2851, 1299, 9925, 13055, 58301, 24483}},
+{12554, 17, 58029, {1, 1, 1, 11, 7, 35, 11, 173, 247, 289, 1269, 361, 2059, 5051, 25731, 58085, 21387}},
+{12555, 17, 58032, {1, 3, 1, 5, 9, 31, 59, 151, 435, 519, 1863, 2255, 2585, 10033, 29189, 27189, 25023}},
+{12556, 17, 58041, {1, 1, 5, 5, 25, 17, 53, 189, 187, 847, 369, 3287, 6047, 2385, 26045, 48821, 23335}},
+{12557, 17, 58047, {1, 1, 1, 9, 15, 55, 79, 21, 433, 131, 1677, 3681, 6173, 9189, 15053, 12971, 81135}},
+{12558, 17, 58062, {1, 1, 3, 5, 29, 5, 11, 213, 151, 77, 1493, 3959, 7675, 7689, 10381, 15871, 123463}},
+{12559, 17, 58086, {1, 3, 7, 11, 19, 47, 31, 81, 207, 789, 1945, 2671, 1987, 6363, 26401, 9799, 59531}},
+{12560, 17, 58092, {1, 1, 1, 7, 17, 7, 83, 181, 339, 423, 267, 2251, 1847, 14883, 13423, 27223, 81799}},
+{12561, 17, 58095, {1, 3, 5, 15, 9, 9, 73, 95, 197, 267, 743, 2369, 6417, 3555, 9885, 6373, 87651}},
+{12562, 17, 58097, {1, 1, 3, 13, 21, 29, 57, 59, 395, 631, 993, 17, 2939, 14117, 27521, 61387, 74927}},
+{12563, 17, 58100, {1, 1, 3, 13, 1, 29, 23, 151, 381, 591, 1217, 2295, 4403, 15865, 4325, 31329, 56989}},
+{12564, 17, 58117, {1, 3, 5, 1, 27, 7, 111, 79, 287, 945, 1237, 2857, 1461, 2477, 10929, 17117, 98677}},
+{12565, 17, 58121, {1, 1, 1, 5, 15, 35, 109, 39, 391, 57, 1783, 3133, 5563, 7721, 12651, 3437, 46697}},
+{12566, 17, 58132, {1, 3, 5, 5, 13, 47, 123, 51, 383, 91, 641, 1607, 4461, 7, 6427, 42755, 130097}},
+{12567, 17, 58142, {1, 1, 5, 5, 25, 49, 33, 59, 351, 1003, 301, 2721, 7705, 5447, 21367, 63007, 112465}},
+{12568, 17, 58145, {1, 1, 5, 13, 31, 11, 73, 1, 359, 201, 1465, 187, 7385, 12817, 12911, 17775, 77937}},
+{12569, 17, 58152, {1, 3, 1, 15, 29, 5, 117, 69, 79, 93, 947, 133, 1049, 13907, 3611, 42123, 8041}},
+{12570, 17, 58155, {1, 1, 7, 7, 29, 17, 71, 171, 357, 619, 1199, 3817, 6889, 9607, 19075, 15539, 54939}},
+{12571, 17, 58163, {1, 1, 1, 7, 23, 29, 91, 227, 119, 865, 943, 381, 5289, 189, 15917, 13875, 31095}},
+{12572, 17, 58166, {1, 1, 7, 1, 9, 49, 93, 175, 105, 61, 1285, 3659, 2383, 505, 12337, 43801, 67035}},
+{12573, 17, 58170, {1, 3, 5, 1, 31, 47, 75, 17, 455, 231, 1887, 2295, 2533, 733, 29001, 22001, 119423}},
+{12574, 17, 58175, {1, 3, 7, 3, 5, 5, 69, 205, 459, 805, 1257, 3283, 3305, 6845, 1405, 56051, 63453}},
+{12575, 17, 58184, {1, 3, 3, 3, 19, 57, 65, 149, 175, 683, 1719, 637, 4951, 13645, 30455, 22379, 105369}},
+{12576, 17, 58197, {1, 3, 1, 11, 31, 27, 69, 13, 191, 645, 1563, 3897, 2387, 2269, 12999, 42217, 100853}},
+{12577, 17, 58202, {1, 3, 1, 13, 31, 7, 11, 227, 267, 373, 1249, 2591, 4769, 303, 5865, 59911, 4991}},
+{12578, 17, 58204, {1, 3, 7, 11, 7, 31, 87, 205, 45, 785, 1947, 1965, 5851, 7501, 89, 38897, 91939}},
+{12579, 17, 58208, {1, 3, 5, 9, 21, 37, 79, 181, 163, 355, 1129, 3439, 5103, 15903, 2935, 22505, 97451}},
+{12580, 17, 58213, {1, 1, 3, 9, 7, 37, 107, 255, 69, 133, 551, 1357, 31, 7059, 29195, 30151, 81785}},
+{12581, 17, 58220, {1, 3, 3, 5, 3, 51, 3, 143, 305, 697, 1041, 1267, 7635, 1483, 649, 28275, 65059}},
+{12582, 17, 58226, {1, 3, 1, 7, 11, 13, 113, 81, 159, 993, 797, 3207, 3787, 13005, 29393, 51107, 42709}},
+{12583, 17, 58231, {1, 1, 3, 13, 7, 11, 113, 195, 349, 377, 2033, 197, 147, 13839, 5405, 29577, 64535}},
+{12584, 17, 58235, {1, 3, 1, 9, 1, 1, 77, 73, 383, 463, 1871, 1589, 1805, 2085, 5195, 17805, 33159}},
+{12585, 17, 58254, {1, 1, 1, 9, 25, 37, 123, 119, 507, 515, 1547, 139, 7501, 4725, 30195, 18199, 41145}},
+{12586, 17, 58261, {1, 3, 3, 7, 17, 33, 99, 11, 487, 343, 403, 337, 3831, 6031, 20375, 2071, 39795}},
+{12587, 17, 58271, {1, 1, 5, 1, 13, 57, 59, 11, 391, 953, 597, 1411, 3929, 13963, 15003, 59385, 12293}},
+{12588, 17, 58278, {1, 3, 1, 15, 23, 61, 67, 129, 63, 555, 433, 631, 2725, 317, 10121, 9217, 124371}},
+{12589, 17, 58287, {1, 1, 5, 7, 19, 23, 17, 45, 75, 819, 1879, 2315, 1439, 2643, 26561, 19209, 16081}},
+{12590, 17, 58327, {1, 3, 5, 7, 5, 35, 121, 233, 91, 89, 1741, 3015, 4223, 9605, 22795, 55845, 47167}},
+{12591, 17, 58333, {1, 3, 7, 7, 13, 23, 11, 51, 91, 367, 773, 1303, 2151, 14423, 22263, 28413, 107461}},
+{12592, 17, 58337, {1, 1, 1, 11, 29, 17, 49, 53, 379, 819, 1551, 2907, 5805, 2167, 16123, 9263, 43903}},
+{12593, 17, 58357, {1, 3, 1, 13, 19, 27, 33, 127, 131, 697, 489, 3289, 1895, 3243, 19497, 32419, 55741}},
+{12594, 17, 58362, {1, 3, 1, 15, 7, 51, 91, 45, 251, 829, 2015, 2659, 151, 3327, 25281, 49291, 106343}},
+{12595, 17, 58364, {1, 1, 5, 5, 27, 11, 85, 45, 203, 413, 293, 3067, 4109, 959, 22337, 38767, 75829}},
+{12596, 17, 58375, {1, 1, 3, 5, 21, 35, 65, 173, 315, 423, 171, 3837, 817, 10153, 5517, 18115, 117437}},
+{12597, 17, 58384, {1, 1, 1, 7, 9, 29, 101, 55, 253, 37, 1717, 7, 3181, 1067, 20637, 54773, 106777}},
+{12598, 17, 58387, {1, 3, 7, 11, 13, 11, 87, 83, 83, 969, 589, 3625, 3373, 3921, 24487, 34235, 96289}},
+{12599, 17, 58405, {1, 3, 1, 11, 25, 35, 65, 131, 491, 167, 449, 2949, 5807, 5649, 7569, 37363, 106819}},
+{12600, 17, 58406, {1, 1, 5, 1, 9, 37, 33, 237, 79, 163, 1791, 3499, 4951, 2009, 16183, 10121, 40221}},
+{12601, 17, 58417, {1, 1, 5, 15, 21, 49, 123, 53, 27, 273, 1655, 3713, 5699, 1659, 31985, 6779, 10195}},
+{12602, 17, 58424, {1, 3, 5, 11, 27, 37, 93, 17, 263, 41, 1583, 703, 7689, 6667, 15497, 15255, 67153}},
+{12603, 17, 58435, {1, 1, 5, 9, 19, 13, 121, 39, 321, 177, 711, 3223, 3859, 14775, 19061, 40587, 97199}},
+{12604, 17, 58450, {1, 3, 7, 9, 23, 11, 93, 243, 3, 811, 679, 1103, 7579, 14147, 20255, 22485, 117179}},
+{12605, 17, 58452, {1, 3, 3, 5, 23, 9, 21, 243, 27, 501, 1273, 1501, 5331, 15663, 19483, 10637, 90905}},
+{12606, 17, 58459, {1, 3, 1, 15, 13, 11, 89, 37, 63, 463, 731, 3615, 3923, 4677, 21329, 1069, 57565}},
+{12607, 17, 58461, {1, 1, 1, 13, 19, 39, 63, 59, 389, 367, 1285, 2005, 8103, 4179, 3805, 55475, 126589}},
+{12608, 17, 58466, {1, 3, 5, 11, 27, 57, 27, 63, 365, 171, 665, 2035, 2831, 15955, 11551, 26741, 121059}},
+{12609, 17, 58468, {1, 3, 3, 3, 23, 19, 13, 7, 331, 613, 1783, 733, 7465, 1089, 4683, 15695, 31125}},
+{12610, 17, 58485, {1, 1, 5, 3, 3, 23, 95, 157, 303, 987, 307, 2679, 6173, 6633, 17727, 30901, 76109}},
+{12611, 17, 58489, {1, 1, 1, 1, 11, 21, 111, 81, 31, 727, 1133, 4083, 5811, 2707, 31749, 42939, 92225}},
+{12612, 17, 58492, {1, 3, 1, 11, 29, 21, 31, 115, 351, 213, 201, 3511, 3707, 12821, 8845, 59789, 59721}},
+{12613, 17, 58495, {1, 3, 5, 9, 7, 27, 65, 1, 305, 937, 1201, 2045, 2431, 12275, 24431, 3317, 119671}},
+{12614, 17, 58505, {1, 1, 7, 11, 19, 43, 107, 107, 261, 933, 1125, 1875, 1943, 7477, 20759, 57853, 29459}},
+{12615, 17, 58523, {1, 1, 3, 3, 17, 43, 79, 19, 167, 341, 237, 677, 725, 2353, 12003, 48921, 20707}},
+{12616, 17, 58535, {1, 3, 3, 5, 31, 39, 91, 81, 121, 59, 737, 1767, 4407, 9159, 10237, 25361, 38891}},
+{12617, 17, 58536, {1, 1, 5, 7, 31, 47, 37, 47, 171, 623, 597, 2807, 4875, 15139, 18809, 24279, 36563}},
+{12618, 17, 58549, {1, 3, 5, 3, 3, 7, 31, 135, 81, 777, 1055, 337, 4309, 9575, 11075, 54429, 30097}},
+{12619, 17, 58550, {1, 1, 5, 1, 3, 57, 53, 25, 117, 961, 947, 257, 2645, 6935, 27511, 54051, 129095}},
+{12620, 17, 58561, {1, 1, 1, 15, 23, 45, 11, 173, 407, 373, 1051, 3519, 1875, 1291, 4393, 9047, 102159}},
+{12621, 17, 58562, {1, 1, 3, 5, 9, 51, 23, 253, 261, 339, 505, 3601, 265, 8375, 7241, 40715, 114439}},
+{12622, 17, 58573, {1, 1, 7, 7, 3, 63, 5, 233, 259, 947, 1367, 2699, 6029, 9371, 6567, 39961, 31621}},
+{12623, 17, 58576, {1, 1, 3, 3, 25, 43, 73, 61, 305, 257, 235, 421, 6621, 1025, 18831, 44525, 87665}},
+{12624, 17, 58592, {1, 3, 5, 7, 19, 33, 77, 163, 191, 115, 1275, 3551, 3521, 6767, 30209, 48895, 114185}},
+{12625, 17, 58601, {1, 1, 3, 3, 29, 37, 3, 165, 267, 807, 967, 2893, 3287, 12249, 21411, 19291, 91781}},
+{12626, 17, 58622, {1, 1, 5, 5, 27, 55, 51, 137, 429, 775, 1525, 3911, 5367, 5981, 24373, 16331, 31887}},
+{12627, 17, 58627, {1, 1, 5, 11, 17, 49, 37, 243, 509, 563, 1381, 2013, 7341, 10509, 10049, 29135, 32709}},
+{12628, 17, 58629, {1, 1, 3, 13, 1, 33, 119, 5, 477, 701, 1329, 1023, 2091, 12895, 6443, 1053, 44741}},
+{12629, 17, 58634, {1, 3, 5, 7, 13, 19, 1, 113, 3, 481, 1555, 2857, 3519, 7903, 16153, 62909, 78877}},
+{12630, 17, 58639, {1, 1, 7, 11, 7, 27, 47, 175, 87, 605, 411, 4065, 8059, 5023, 27719, 3111, 62247}},
+{12631, 17, 58641, {1, 3, 1, 15, 27, 37, 71, 77, 297, 647, 1651, 2543, 3925, 4827, 28587, 49663, 56581}},
+{12632, 17, 58644, {1, 3, 5, 1, 19, 49, 63, 9, 43, 243, 931, 3577, 2371, 10513, 13691, 27739, 61011}},
+{12633, 17, 58654, {1, 1, 3, 1, 23, 27, 53, 149, 157, 735, 1087, 1529, 6613, 2493, 4879, 26771, 123711}},
+{12634, 17, 58663, {1, 3, 7, 13, 5, 3, 43, 3, 343, 497, 943, 3443, 4335, 4779, 4033, 25871, 10965}},
+{12635, 17, 58667, {1, 3, 5, 1, 5, 11, 93, 73, 199, 455, 421, 3495, 4381, 717, 21033, 41287, 44743}},
+{12636, 17, 58677, {1, 1, 3, 9, 13, 33, 77, 143, 81, 57, 1061, 3205, 2411, 1347, 23149, 21913, 119331}},
+{12637, 17, 58682, {1, 3, 1, 7, 1, 15, 45, 247, 119, 905, 457, 3939, 4865, 11191, 27705, 46315, 68367}},
+{12638, 17, 58690, {1, 3, 3, 15, 31, 5, 55, 169, 381, 1009, 1893, 2751, 411, 8653, 30367, 54919, 23541}},
+{12639, 17, 58692, {1, 3, 7, 1, 29, 27, 77, 239, 109, 125, 355, 2759, 2229, 3435, 16241, 53309, 613}},
+{12640, 17, 58695, {1, 3, 1, 3, 11, 27, 33, 167, 311, 1003, 1635, 2479, 1831, 6225, 17711, 30185, 87043}},
+{12641, 17, 58710, {1, 3, 7, 13, 7, 61, 3, 243, 55, 259, 461, 3357, 121, 9107, 19393, 3719, 71403}},
+{12642, 17, 58713, {1, 1, 7, 15, 23, 25, 55, 89, 241, 297, 113, 59, 4799, 381, 29127, 811, 91149}},
+{12643, 17, 58723, {1, 1, 3, 3, 13, 35, 43, 163, 69, 69, 1949, 2383, 887, 2349, 12539, 167, 23697}},
+{12644, 17, 58740, {1, 3, 3, 11, 3, 45, 23, 149, 55, 963, 1293, 2715, 1401, 16081, 12821, 2129, 26835}},
+{12645, 17, 58749, {1, 3, 3, 13, 29, 47, 21, 249, 141, 179, 627, 329, 6377, 12049, 11715, 1447, 119359}},
+{12646, 17, 58760, {1, 1, 5, 13, 7, 59, 103, 189, 401, 169, 455, 1197, 1881, 12679, 4533, 25561, 79281}},
+{12647, 17, 58766, {1, 1, 7, 15, 21, 59, 97, 77, 397, 487, 647, 2277, 269, 713, 17741, 37387, 100143}},
+{12648, 17, 58773, {1, 3, 5, 1, 1, 43, 31, 201, 21, 805, 1533, 1407, 4719, 2673, 22757, 7605, 72485}},
+{12649, 17, 58780, {1, 1, 3, 11, 27, 25, 99, 135, 225, 367, 1311, 683, 7193, 8209, 17081, 55709, 3029}},
+{12650, 17, 58787, {1, 3, 5, 5, 17, 9, 59, 27, 153, 353, 647, 2919, 1877, 5359, 19787, 46237, 7}},
+{12651, 17, 58796, {1, 3, 3, 15, 11, 39, 75, 223, 489, 57, 1355, 3941, 6603, 12883, 20909, 24065, 53543}},
+{12652, 17, 58816, {1, 1, 3, 9, 17, 47, 61, 49, 397, 23, 2019, 37, 23, 8967, 10357, 54419, 27279}},
+{12653, 17, 58822, {1, 1, 1, 7, 31, 43, 87, 111, 293, 969, 1431, 2275, 3131, 2915, 24595, 63049, 71517}},
+{12654, 17, 58831, {1, 1, 3, 11, 11, 63, 89, 33, 95, 299, 593, 3353, 7389, 841, 1895, 64835, 19915}},
+{12655, 17, 58839, {1, 1, 1, 3, 13, 63, 51, 3, 327, 401, 1289, 2699, 5599, 5101, 3189, 23415, 53429}},
+{12656, 17, 58849, {1, 1, 7, 13, 27, 15, 57, 201, 365, 643, 171, 2417, 1763, 7567, 5323, 50911, 24281}},
+{12657, 17, 58859, {1, 3, 3, 13, 31, 37, 31, 243, 225, 431, 379, 1565, 1567, 11477, 4641, 58823, 88565}},
+{12658, 17, 58870, {1, 3, 3, 7, 13, 39, 79, 169, 401, 177, 2023, 1703, 5563, 15619, 21445, 59287, 30141}},
+{12659, 17, 58879, {1, 3, 3, 15, 17, 47, 13, 163, 361, 353, 1435, 2083, 4109, 14105, 28585, 1721, 119133}},
+{12660, 17, 58889, {1, 3, 3, 3, 29, 41, 97, 131, 501, 415, 1735, 2315, 6499, 11417, 3879, 3957, 47117}},
+{12661, 17, 58904, {1, 1, 3, 13, 5, 25, 29, 65, 235, 949, 1571, 927, 515, 7519, 23123, 4127, 71019}},
+{12662, 17, 58914, {1, 1, 5, 13, 1, 41, 5, 137, 487, 711, 561, 2495, 5367, 6955, 9453, 54499, 118373}},
+{12663, 17, 58923, {1, 3, 3, 5, 27, 15, 23, 237, 95, 873, 1949, 1579, 7089, 8837, 30463, 9903, 61919}},
+{12664, 17, 58940, {1, 3, 1, 13, 5, 5, 15, 5, 429, 617, 383, 2495, 409, 15541, 11209, 20625, 58493}},
+{12665, 17, 58945, {1, 1, 7, 11, 25, 21, 113, 219, 459, 777, 289, 2435, 6665, 83, 22997, 6561, 82923}},
+{12666, 17, 58952, {1, 1, 1, 7, 19, 53, 37, 249, 273, 639, 2007, 1463, 7819, 9013, 19539, 41235, 58059}},
+{12667, 17, 58960, {1, 1, 3, 11, 13, 51, 97, 55, 237, 159, 1305, 3705, 2527, 13065, 13873, 10275, 3769}},
+{12668, 17, 58965, {1, 1, 5, 7, 13, 49, 41, 13, 301, 461, 1169, 3805, 7163, 4133, 17255, 48283, 87059}},
+{12669, 17, 58986, {1, 3, 7, 15, 9, 19, 45, 195, 445, 145, 543, 2839, 315, 10991, 3317, 46501, 29209}},
+{12670, 17, 59000, {1, 1, 3, 5, 23, 51, 53, 119, 217, 747, 1307, 3039, 5523, 5891, 21035, 56471, 80305}},
+{12671, 17, 59006, {1, 3, 1, 3, 23, 17, 97, 71, 7, 839, 229, 3407, 3025, 1989, 16599, 38755, 11139}},
+{12672, 17, 59027, {1, 1, 7, 7, 7, 19, 67, 43, 293, 191, 1549, 1621, 7083, 11633, 1899, 4515, 89753}},
+{12673, 17, 59034, {1, 3, 7, 11, 1, 23, 17, 63, 265, 709, 453, 1309, 6861, 7257, 17705, 28565, 15231}},
+{12674, 17, 59052, {1, 3, 5, 13, 1, 53, 99, 79, 241, 771, 497, 987, 2353, 6931, 227, 57781, 109583}},
+{12675, 17, 59058, {1, 3, 3, 5, 31, 47, 17, 97, 93, 119, 2045, 3597, 7983, 4993, 30659, 3419, 32803}},
+{12676, 17, 59081, {1, 3, 7, 1, 11, 41, 3, 7, 155, 627, 979, 2405, 7467, 6763, 28523, 56493, 1291}},
+{12677, 17, 59082, {1, 1, 1, 7, 3, 43, 13, 187, 415, 1001, 667, 1371, 8075, 12855, 27215, 9399, 70657}},
+{12678, 17, 59089, {1, 3, 1, 9, 29, 53, 117, 17, 443, 381, 507, 643, 5891, 10725, 20251, 497, 101313}},
+{12679, 17, 59096, {1, 3, 3, 1, 31, 47, 59, 75, 173, 347, 1, 117, 3639, 10231, 863, 56795, 56107}},
+{12680, 17, 59118, {1, 3, 1, 15, 11, 41, 97, 251, 177, 275, 1849, 1281, 3659, 9709, 16239, 7445, 47661}},
+{12681, 17, 59123, {1, 3, 3, 5, 13, 1, 27, 251, 89, 863, 685, 3915, 2201, 4313, 32083, 37171, 120885}},
+{12682, 17, 59126, {1, 3, 3, 3, 3, 11, 77, 135, 147, 475, 505, 611, 4763, 9445, 28639, 51343, 119093}},
+{12683, 17, 59132, {1, 3, 7, 1, 11, 9, 67, 73, 375, 977, 1011, 1621, 6623, 8077, 26321, 7461, 130637}},
+{12684, 17, 59135, {1, 3, 5, 15, 15, 59, 63, 217, 117, 375, 1151, 3451, 5843, 13221, 20673, 10817, 57711}},
+{12685, 17, 59150, {1, 1, 3, 5, 19, 5, 9, 101, 321, 815, 451, 719, 523, 1299, 27823, 48041, 45939}},
+{12686, 17, 59174, {1, 1, 1, 9, 5, 49, 59, 59, 409, 5, 1075, 21, 7837, 4543, 3085, 55473, 89309}},
+{12687, 17, 59177, {1, 3, 3, 13, 9, 31, 93, 181, 153, 795, 713, 933, 6001, 9075, 29781, 14029, 46361}},
+{12688, 17, 59185, {1, 3, 5, 3, 9, 21, 79, 129, 361, 627, 743, 3041, 5381, 3627, 12581, 35183, 83183}},
+{12689, 17, 59195, {1, 3, 3, 3, 29, 29, 93, 187, 341, 727, 181, 133, 6525, 5673, 2739, 23349, 62505}},
+{12690, 17, 59203, {1, 3, 5, 13, 27, 59, 127, 149, 321, 613, 1543, 1537, 2909, 5139, 3755, 49285, 35183}},
+{12691, 17, 59206, {1, 3, 3, 9, 5, 31, 19, 173, 137, 19, 799, 1847, 3897, 15775, 22411, 55405, 95713}},
+{12692, 17, 59234, {1, 3, 5, 5, 31, 1, 87, 97, 481, 797, 459, 793, 4339, 5443, 31717, 6691, 68841}},
+{12693, 17, 59248, {1, 3, 3, 5, 3, 9, 123, 21, 393, 683, 1007, 971, 729, 7113, 2811, 51183, 37093}},
+{12694, 17, 59258, {1, 3, 5, 5, 27, 31, 19, 227, 123, 937, 763, 2117, 3825, 9151, 95, 54963, 62919}},
+{12695, 17, 59260, {1, 3, 1, 3, 23, 21, 21, 7, 7, 165, 99, 3073, 91, 8725, 17613, 47119, 41441}},
+{12696, 17, 59270, {1, 3, 7, 9, 29, 49, 117, 49, 205, 605, 1567, 3323, 1559, 10949, 14349, 34951, 99901}},
+{12697, 17, 59284, {1, 1, 1, 1, 15, 41, 31, 133, 439, 305, 719, 147, 6849, 5947, 31749, 45171, 15265}},
+{12698, 17, 59291, {1, 1, 5, 11, 19, 37, 13, 253, 385, 625, 1801, 1191, 547, 12025, 17971, 54127, 97323}},
+{12699, 17, 59293, {1, 3, 5, 5, 27, 9, 57, 245, 59, 211, 1195, 763, 6743, 6309, 25759, 26633, 27497}},
+{12700, 17, 59297, {1, 3, 5, 5, 9, 51, 49, 29, 213, 855, 305, 3961, 3187, 6815, 19015, 2539, 81705}},
+{12701, 17, 59312, {1, 1, 5, 7, 11, 61, 123, 163, 127, 871, 463, 2279, 5931, 2913, 23215, 40215, 91373}},
+{12702, 17, 59315, {1, 1, 7, 1, 29, 57, 55, 189, 285, 603, 747, 3753, 3359, 10277, 25319, 17569, 80125}},
+{12703, 17, 59327, {1, 3, 1, 9, 7, 53, 9, 55, 117, 495, 2045, 2487, 1625, 775, 17773, 62159, 79537}},
+{12704, 17, 59332, {1, 1, 5, 1, 1, 11, 67, 79, 57, 677, 2045, 3913, 853, 3581, 10509, 35097, 24585}},
+{12705, 17, 59347, {1, 3, 7, 7, 19, 15, 13, 237, 297, 807, 657, 2229, 2931, 10283, 49, 56485, 113889}},
+{12706, 17, 59354, {1, 3, 5, 13, 11, 23, 37, 229, 253, 411, 39, 1069, 3683, 12141, 11087, 64875, 62991}},
+{12707, 17, 59363, {1, 1, 1, 1, 13, 11, 21, 227, 305, 1021, 1039, 3095, 4621, 5723, 31989, 30681, 58487}},
+{12708, 17, 59369, {1, 3, 3, 5, 17, 47, 127, 65, 85, 961, 277, 549, 2111, 4183, 771, 11921, 111489}},
+{12709, 17, 59377, {1, 3, 3, 5, 31, 39, 89, 51, 277, 705, 375, 1603, 2793, 7425, 25065, 44945, 48391}},
+{12710, 17, 59406, {1, 1, 5, 7, 9, 45, 21, 217, 183, 65, 625, 1239, 4241, 8043, 13615, 5611, 82501}},
+{12711, 17, 59413, {1, 1, 7, 13, 15, 51, 29, 35, 73, 601, 233, 3117, 3031, 4229, 4299, 62761, 45291}},
+{12712, 17, 59423, {1, 3, 5, 5, 27, 55, 7, 1, 333, 501, 913, 1939, 5131, 5597, 1271, 30195, 20947}},
+{12713, 17, 59434, {1, 3, 5, 15, 19, 27, 43, 111, 435, 615, 811, 2113, 2503, 7553, 1619, 24773, 40881}},
+{12714, 17, 59441, {1, 3, 5, 11, 11, 31, 21, 147, 151, 141, 527, 1839, 339, 1225, 29621, 19691, 22031}},
+{12715, 17, 59442, {1, 1, 3, 13, 23, 35, 61, 181, 221, 837, 241, 3033, 1849, 12563, 11387, 3027, 33419}},
+{12716, 17, 59456, {1, 3, 3, 7, 1, 39, 125, 249, 231, 575, 1847, 197, 3969, 12945, 10257, 27227, 94097}},
+{12717, 17, 59465, {1, 3, 1, 11, 19, 7, 85, 119, 37, 253, 1575, 447, 6947, 14399, 32095, 15385, 62917}},
+{12718, 17, 59479, {1, 3, 7, 11, 23, 53, 113, 193, 253, 651, 1717, 447, 4055, 13675, 18479, 28375, 66475}},
+{12719, 17, 59501, {1, 1, 7, 3, 17, 27, 13, 209, 67, 271, 121, 1565, 2589, 8033, 3939, 14181, 111787}},
+{12720, 17, 59504, {1, 1, 3, 3, 5, 57, 75, 87, 165, 947, 967, 3353, 2055, 16195, 3701, 62637, 58343}},
+{12721, 17, 59507, {1, 1, 7, 13, 31, 41, 125, 111, 253, 257, 57, 679, 3333, 8259, 26331, 15883, 95023}},
+{12722, 17, 59514, {1, 3, 7, 11, 1, 47, 5, 249, 353, 271, 1121, 1935, 4971, 8447, 9983, 55959, 66179}},
+{12723, 17, 59523, {1, 3, 5, 11, 1, 61, 101, 43, 97, 241, 687, 4027, 4319, 4905, 12357, 51099, 97093}},
+{12724, 17, 59525, {1, 1, 3, 15, 25, 25, 117, 139, 475, 961, 1585, 2795, 2411, 11049, 18209, 15511, 43193}},
+{12725, 17, 59526, {1, 3, 3, 9, 9, 11, 107, 15, 189, 27, 289, 3111, 851, 3401, 31981, 7181, 47533}},
+{12726, 17, 59537, {1, 1, 5, 15, 31, 57, 37, 77, 205, 707, 1505, 1343, 629, 13335, 6719, 35405, 38905}},
+{12727, 17, 59543, {1, 3, 7, 7, 21, 63, 35, 125, 507, 285, 621, 2257, 3009, 13703, 9761, 54927, 16925}},
+{12728, 17, 59560, {1, 1, 1, 11, 11, 53, 37, 17, 167, 663, 1349, 1395, 7721, 9329, 2161, 37093, 52425}},
+{12729, 17, 59563, {1, 1, 7, 9, 1, 15, 113, 53, 87, 133, 131, 847, 609, 14737, 1639, 15511, 46987}},
+{12730, 17, 59566, {1, 1, 7, 7, 25, 21, 125, 149, 201, 791, 1323, 2817, 1141, 289, 14349, 64461, 76575}},
+{12731, 17, 59577, {1, 3, 3, 7, 15, 1, 123, 227, 83, 967, 2039, 3205, 715, 10787, 11235, 50375, 66911}},
+{12732, 17, 59580, {1, 3, 3, 11, 9, 45, 41, 57, 327, 903, 1705, 3947, 3173, 1035, 25529, 15217, 80795}},
+{12733, 17, 59586, {1, 3, 1, 13, 15, 63, 69, 57, 479, 277, 1641, 3465, 2629, 9901, 5781, 55101, 33049}},
+{12734, 17, 59597, {1, 1, 3, 3, 31, 25, 57, 189, 491, 335, 373, 3069, 1623, 10781, 6559, 27057, 111491}},
+{12735, 17, 59612, {1, 3, 3, 15, 19, 57, 67, 225, 343, 93, 315, 1011, 4437, 10371, 27927, 51269, 65653}},
+{12736, 17, 59615, {1, 3, 5, 5, 21, 43, 105, 153, 65, 167, 369, 3167, 785, 7509, 3753, 9035, 29039}},
+{12737, 17, 59622, {1, 1, 7, 3, 17, 9, 113, 21, 175, 967, 13, 2701, 5667, 9761, 20267, 33497, 88819}},
+{12738, 17, 59631, {1, 1, 1, 7, 9, 61, 121, 205, 283, 259, 2027, 2361, 3995, 6787, 26867, 61681, 96149}},
+{12739, 17, 59657, {1, 3, 3, 13, 31, 37, 125, 151, 317, 947, 423, 2907, 6905, 13247, 27997, 4755, 73173}},
+{12740, 17, 59660, {1, 1, 7, 13, 1, 63, 85, 75, 33, 483, 85, 1583, 4783, 14003, 31147, 12643, 99447}},
+{12741, 17, 59665, {1, 1, 1, 7, 31, 5, 93, 179, 213, 857, 3, 1015, 1481, 2413, 28759, 13941, 24851}},
+{12742, 17, 59671, {1, 1, 5, 5, 5, 35, 73, 57, 469, 885, 1951, 3599, 5555, 7259, 22599, 7627, 109227}},
+{12743, 17, 59675, {1, 1, 5, 13, 1, 1, 69, 107, 473, 793, 1851, 887, 2241, 7851, 21821, 25431, 118565}},
+{12744, 17, 59688, {1, 1, 1, 3, 15, 51, 57, 175, 91, 113, 1671, 925, 2187, 1097, 28793, 45819, 41855}},
+{12745, 17, 59706, {1, 1, 3, 3, 15, 51, 99, 177, 379, 713, 1273, 3245, 5515, 14657, 28981, 1197, 29283}},
+{12746, 17, 59708, {1, 3, 3, 15, 13, 27, 29, 7, 17, 373, 779, 1589, 3077, 13673, 31029, 43765, 74339}},
+{12747, 17, 59713, {1, 1, 3, 1, 25, 17, 15, 223, 219, 569, 155, 1307, 7143, 7975, 22581, 53223, 44271}},
+{12748, 17, 59714, {1, 1, 1, 7, 11, 23, 67, 177, 189, 267, 1799, 2453, 2367, 4193, 1827, 10191, 12265}},
+{12749, 17, 59720, {1, 3, 3, 11, 3, 29, 121, 231, 211, 191, 1803, 1171, 6801, 4007, 14111, 42951, 8311}},
+{12750, 17, 59737, {1, 3, 3, 11, 9, 23, 11, 231, 349, 47, 1645, 345, 3681, 12227, 29955, 32131, 391}},
+{12751, 17, 59743, {1, 1, 3, 11, 27, 17, 17, 49, 463, 173, 1993, 2339, 3763, 1931, 29969, 55579, 114805}},
+{12752, 17, 59744, {1, 3, 5, 15, 5, 21, 105, 69, 173, 771, 815, 3807, 577, 12589, 32193, 37601, 23961}},
+{12753, 17, 59749, {1, 1, 3, 9, 21, 63, 57, 213, 327, 765, 333, 2065, 719, 6159, 15769, 49335, 2289}},
+{12754, 17, 59756, {1, 3, 3, 1, 27, 51, 13, 87, 465, 729, 507, 2811, 6721, 14279, 31733, 56165, 78169}},
+{12755, 17, 59783, {1, 1, 1, 9, 25, 1, 47, 37, 407, 623, 1409, 3703, 4491, 3037, 8129, 13547, 50517}},
+{12756, 17, 59784, {1, 3, 5, 13, 5, 51, 127, 225, 215, 377, 1013, 2387, 4237, 1317, 5245, 17535, 100707}},
+{12757, 17, 59787, {1, 3, 5, 13, 31, 25, 123, 243, 317, 505, 483, 1743, 3097, 4139, 4525, 63143, 47665}},
+{12758, 17, 59795, {1, 3, 3, 13, 27, 19, 21, 187, 211, 471, 1931, 2877, 3635, 9233, 12385, 15741, 50843}},
+{12759, 17, 59804, {1, 1, 3, 13, 23, 33, 71, 45, 371, 621, 1057, 1605, 6329, 3763, 8613, 2965, 8141}},
+{12760, 17, 59811, {1, 1, 5, 7, 7, 17, 33, 209, 293, 35, 1665, 3721, 6245, 14567, 15349, 16195, 59757}},
+{12761, 17, 59814, {1, 1, 7, 7, 31, 19, 47, 83, 277, 323, 1225, 969, 2193, 10175, 27657, 50265, 9817}},
+{12762, 17, 59823, {1, 1, 5, 7, 15, 21, 103, 95, 189, 737, 309, 357, 5953, 9701, 15757, 20753, 88647}},
+{12763, 17, 59838, {1, 1, 5, 13, 5, 13, 61, 235, 333, 889, 1559, 1653, 1871, 10631, 18067, 47037, 9507}},
+{12764, 17, 59840, {1, 3, 7, 1, 31, 61, 69, 159, 41, 107, 807, 1517, 3551, 3435, 6151, 50025, 126949}},
+{12765, 17, 59846, {1, 1, 7, 15, 7, 41, 55, 103, 9, 105, 1397, 3955, 7723, 3389, 32435, 36005, 73733}},
+{12766, 17, 59849, {1, 1, 1, 13, 15, 59, 43, 151, 321, 215, 411, 3103, 7455, 14041, 1673, 56425, 59085}},
+{12767, 17, 59855, {1, 1, 1, 1, 5, 39, 81, 183, 509, 455, 753, 3743, 227, 7807, 23747, 42289, 122765}},
+{12768, 17, 59860, {1, 1, 7, 3, 9, 29, 89, 131, 141, 851, 1221, 67, 3117, 1329, 13151, 36827, 34313}},
+{12769, 17, 59867, {1, 3, 1, 5, 9, 29, 11, 189, 389, 79, 1903, 835, 6043, 8953, 18985, 8305, 51939}},
+{12770, 17, 59869, {1, 3, 5, 3, 9, 49, 47, 43, 193, 917, 795, 2719, 5709, 9993, 30637, 26841, 93113}},
+{12771, 17, 59885, {1, 3, 7, 5, 13, 15, 85, 169, 315, 963, 617, 1191, 6739, 11535, 3423, 6695, 2047}},
+{12772, 17, 59888, {1, 3, 1, 3, 5, 49, 41, 255, 131, 255, 825, 1485, 7005, 10107, 3913, 4731, 33199}},
+{12773, 17, 59893, {1, 3, 1, 9, 27, 63, 109, 29, 183, 381, 591, 617, 1187, 4381, 30543, 9933, 109785}},
+{12774, 17, 59904, {1, 3, 7, 7, 13, 29, 125, 105, 353, 677, 623, 1553, 5435, 10853, 16663, 42277, 64333}},
+{12775, 17, 59919, {1, 3, 3, 11, 3, 47, 49, 41, 249, 497, 963, 237, 625, 11303, 6871, 60441, 39559}},
+{12776, 17, 59922, {1, 3, 3, 1, 1, 27, 107, 253, 59, 445, 1761, 2865, 7117, 2363, 4007, 46047, 10811}},
+{12777, 17, 59927, {1, 3, 5, 5, 25, 13, 17, 107, 321, 691, 351, 577, 5001, 9437, 12451, 44997, 42727}},
+{12778, 17, 59937, {1, 3, 1, 9, 1, 31, 87, 117, 111, 379, 1989, 1155, 4777, 8563, 14585, 33375, 66985}},
+{12779, 17, 59940, {1, 3, 5, 5, 9, 51, 79, 135, 89, 929, 277, 763, 5569, 15545, 28393, 56921, 102093}},
+{12780, 17, 59944, {1, 1, 3, 7, 7, 55, 15, 37, 3, 439, 577, 2051, 101, 13655, 11959, 38127, 6639}},
+{12781, 17, 59947, {1, 1, 3, 9, 21, 11, 27, 221, 465, 565, 1313, 1405, 2421, 10543, 18369, 33751, 87785}},
+{12782, 17, 59949, {1, 3, 5, 11, 21, 39, 105, 231, 469, 711, 997, 427, 5797, 3249, 15141, 29413, 66509}},
+{12783, 17, 59961, {1, 3, 7, 5, 25, 31, 111, 37, 229, 773, 193, 553, 673, 4693, 24441, 8713, 121203}},
+{12784, 17, 59975, {1, 3, 1, 9, 23, 27, 103, 7, 183, 549, 1433, 2831, 3383, 13229, 10005, 14135, 15967}},
+{12785, 17, 59981, {1, 3, 3, 11, 11, 59, 11, 251, 373, 399, 255, 1177, 5493, 13559, 29037, 23405, 79495}},
+{12786, 17, 59994, {1, 3, 1, 11, 25, 45, 69, 115, 153, 259, 527, 9, 5807, 6015, 3765, 61621, 8645}},
+{12787, 17, 59999, {1, 3, 3, 9, 19, 5, 113, 191, 345, 655, 429, 3975, 4297, 5723, 5345, 64457, 79031}},
+{12788, 17, 60018, {1, 3, 7, 7, 15, 59, 5, 87, 289, 1005, 931, 2403, 485, 16043, 15623, 39253, 61377}},
+{12789, 17, 60023, {1, 3, 3, 9, 17, 53, 31, 9, 217, 711, 1007, 1375, 2733, 13735, 19825, 59741, 83827}},
+{12790, 17, 60024, {1, 1, 3, 15, 11, 11, 41, 195, 79, 1013, 1353, 1961, 7365, 7533, 13315, 8441, 90705}},
+{12791, 17, 60039, {1, 1, 5, 7, 23, 17, 93, 165, 371, 495, 865, 2753, 15, 10729, 16553, 6039, 96721}},
+{12792, 17, 60043, {1, 3, 3, 3, 25, 25, 67, 119, 485, 63, 75, 2365, 4711, 16129, 5589, 50621, 1203}},
+{12793, 17, 60048, {1, 1, 7, 1, 27, 57, 49, 79, 479, 79, 683, 753, 345, 2007, 18983, 42729, 56369}},
+{12794, 17, 60054, {1, 1, 7, 7, 1, 23, 9, 155, 425, 735, 1625, 2271, 7875, 11219, 12147, 52351, 55845}},
+{12795, 17, 60073, {1, 1, 1, 9, 13, 11, 67, 139, 259, 59, 1593, 1207, 237, 11683, 24719, 27689, 115617}},
+{12796, 17, 60079, {1, 1, 5, 7, 7, 15, 9, 171, 35, 131, 133, 3939, 1401, 6347, 4051, 64235, 68581}},
+{12797, 17, 60082, {1, 3, 3, 1, 27, 21, 29, 119, 201, 527, 763, 203, 1139, 3951, 3341, 17023, 13493}},
+{12798, 17, 60102, {1, 1, 1, 15, 27, 31, 97, 203, 255, 573, 781, 4095, 3381, 363, 32733, 34517, 77973}},
+{12799, 17, 60108, {1, 1, 3, 9, 29, 9, 115, 207, 267, 513, 1071, 3943, 5045, 10071, 6627, 18043, 44289}},
+{12800, 17, 60111, {1, 1, 7, 7, 29, 25, 51, 31, 305, 239, 197, 3825, 2363, 4903, 16237, 37571, 66545}},
+{12801, 17, 60120, {1, 1, 5, 11, 29, 11, 63, 145, 185, 359, 249, 1179, 105, 1745, 28819, 40513, 74525}},
+{12802, 17, 60149, {1, 1, 7, 1, 15, 35, 39, 5, 139, 119, 2047, 3369, 2857, 11037, 30523, 24813, 89209}},
+{12803, 17, 60153, {1, 1, 5, 11, 9, 41, 97, 15, 357, 95, 361, 3, 3227, 8445, 16541, 30661, 84215}},
+{12804, 17, 60161, {1, 1, 7, 5, 11, 55, 77, 19, 331, 621, 893, 577, 1025, 1561, 32331, 59469, 67065}},
+{12805, 17, 60168, {1, 3, 7, 7, 17, 53, 55, 65, 295, 391, 445, 33, 5361, 669, 6447, 3833, 129463}},
+{12806, 17, 60176, {1, 3, 7, 5, 21, 5, 83, 207, 485, 597, 1429, 581, 6831, 2885, 24669, 35211, 69549}},
+{12807, 17, 60182, {1, 3, 3, 1, 3, 33, 69, 199, 427, 893, 1823, 1291, 4533, 11779, 18515, 17597, 79159}},
+{12808, 17, 60185, {1, 3, 1, 1, 17, 41, 91, 21, 509, 875, 777, 639, 4009, 12103, 12947, 58395, 36625}},
+{12809, 17, 60204, {1, 1, 7, 15, 13, 11, 19, 243, 365, 661, 1193, 279, 6055, 13921, 5811, 14337, 105375}},
+{12810, 17, 60212, {1, 3, 7, 3, 3, 51, 101, 175, 83, 921, 523, 3909, 8003, 1295, 4153, 4757, 107881}},
+{12811, 17, 60215, {1, 1, 1, 3, 19, 15, 39, 125, 401, 399, 381, 1123, 2339, 12231, 13387, 50829, 79263}},
+{12812, 17, 60219, {1, 3, 1, 1, 15, 13, 55, 181, 53, 671, 1929, 1003, 521, 15279, 1837, 11877, 79241}},
+{12813, 17, 60222, {1, 3, 3, 9, 23, 45, 21, 37, 1, 701, 1253, 2595, 6261, 4139, 24443, 6655, 109755}},
+{12814, 17, 60229, {1, 3, 7, 1, 1, 13, 57, 41, 95, 985, 1613, 3487, 7509, 213, 32139, 27869, 123589}},
+{12815, 17, 60234, {1, 3, 7, 11, 15, 27, 27, 97, 167, 755, 1331, 3961, 3067, 13827, 8983, 8755, 77847}},
+{12816, 17, 60241, {1, 1, 5, 13, 5, 59, 51, 193, 339, 837, 137, 3807, 2617, 14449, 11035, 16827, 24531}},
+{12817, 17, 60248, {1, 1, 7, 15, 17, 37, 67, 99, 261, 743, 275, 33, 8107, 4959, 9683, 19757, 36471}},
+{12818, 17, 60277, {1, 3, 5, 5, 29, 7, 107, 95, 235, 761, 1205, 3125, 4791, 4645, 25623, 6463, 121887}},
+{12819, 17, 60282, {1, 3, 1, 1, 19, 19, 73, 189, 243, 669, 489, 1927, 1651, 11391, 30699, 64719, 60359}},
+{12820, 17, 60287, {1, 3, 7, 3, 29, 47, 7, 21, 299, 739, 1605, 749, 5755, 11579, 793, 36845, 14695}},
+{12821, 17, 60303, {1, 1, 5, 15, 17, 53, 107, 49, 103, 505, 1191, 2881, 7435, 7515, 24237, 5397, 47003}},
+{12822, 17, 60306, {1, 1, 7, 15, 25, 45, 121, 157, 313, 709, 1519, 2195, 5487, 1789, 32401, 4197, 9329}},
+{12823, 17, 60327, {1, 3, 3, 11, 21, 17, 77, 153, 275, 765, 1943, 3395, 5807, 12809, 29891, 42579, 75565}},
+{12824, 17, 60333, {1, 3, 5, 11, 11, 3, 63, 9, 223, 441, 1047, 441, 867, 3399, 15813, 13, 25293}},
+{12825, 17, 60334, {1, 1, 7, 1, 17, 25, 1, 7, 211, 117, 1417, 1057, 3369, 13211, 11437, 20877, 114867}},
+{12826, 17, 60336, {1, 1, 1, 15, 5, 41, 89, 165, 343, 447, 55, 1013, 8179, 12295, 18615, 23885, 46149}},
+{12827, 17, 60345, {1, 1, 5, 1, 15, 37, 109, 141, 323, 151, 1669, 1365, 3047, 13145, 30355, 12377, 102467}},
+{12828, 17, 60359, {1, 1, 3, 15, 15, 49, 83, 127, 285, 715, 981, 1153, 3019, 11071, 24229, 63807, 16315}},
+{12829, 17, 60368, {1, 1, 3, 1, 23, 35, 21, 179, 83, 929, 1033, 643, 3591, 10363, 7739, 259, 106879}},
+{12830, 17, 60380, {1, 1, 5, 7, 19, 9, 63, 241, 387, 851, 1709, 1161, 7469, 2093, 6169, 6085, 29851}},
+{12831, 17, 60389, {1, 3, 7, 5, 17, 59, 99, 87, 189, 853, 193, 1191, 5683, 15865, 27791, 55575, 13479}},
+{12832, 17, 60390, {1, 3, 3, 3, 25, 51, 81, 129, 365, 319, 179, 2863, 511, 14471, 3689, 59505, 80105}},
+{12833, 17, 60394, {1, 1, 1, 15, 5, 33, 69, 35, 429, 715, 1781, 783, 1089, 8969, 26987, 23519, 34227}},
+{12834, 17, 60407, {1, 3, 5, 9, 1, 51, 9, 121, 325, 945, 2025, 1985, 7337, 10837, 21299, 20591, 76905}},
+{12835, 17, 60414, {1, 3, 7, 3, 15, 51, 19, 109, 297, 491, 15, 1905, 1479, 1997, 18129, 43861, 84925}},
+{12836, 17, 60419, {1, 1, 3, 5, 7, 21, 1, 137, 207, 943, 1171, 2019, 6687, 10683, 20937, 34033, 43907}},
+{12837, 17, 60426, {1, 1, 1, 11, 25, 21, 47, 227, 247, 933, 471, 955, 4299, 5605, 18469, 62357, 98273}},
+{12838, 17, 60428, {1, 1, 5, 13, 21, 39, 41, 23, 493, 311, 1401, 537, 2919, 11519, 12597, 58321, 41401}},
+{12839, 17, 60431, {1, 1, 7, 5, 31, 55, 93, 151, 219, 765, 1247, 2775, 7167, 13413, 17071, 57969, 114069}},
+{12840, 17, 60440, {1, 3, 1, 15, 31, 41, 85, 161, 379, 337, 1639, 933, 3511, 925, 3523, 52379, 18421}},
+{12841, 17, 60450, {1, 3, 3, 11, 17, 17, 71, 11, 291, 305, 1295, 1175, 1803, 6247, 26523, 46467, 126999}},
+{12842, 17, 60469, {1, 1, 1, 13, 9, 43, 113, 7, 1, 443, 719, 3045, 2527, 5233, 13969, 50463, 115629}},
+{12843, 17, 60473, {1, 1, 1, 13, 9, 31, 87, 119, 351, 53, 985, 2017, 1187, 10429, 13719, 41383, 12749}},
+{12844, 17, 60474, {1, 1, 1, 15, 23, 17, 5, 215, 383, 299, 305, 3577, 7707, 6927, 28591, 44287, 65697}},
+{12845, 17, 60484, {1, 1, 5, 7, 23, 61, 89, 235, 97, 463, 237, 2117, 5503, 13693, 28231, 7745, 73631}},
+{12846, 17, 60496, {1, 3, 7, 3, 17, 43, 73, 245, 145, 267, 855, 187, 6167, 3999, 9935, 14347, 57727}},
+{12847, 17, 60502, {1, 1, 7, 3, 25, 47, 11, 221, 425, 527, 1341, 3973, 4635, 16321, 30021, 48547, 109409}},
+{12848, 17, 60508, {1, 3, 1, 13, 5, 11, 41, 191, 121, 219, 1315, 583, 2997, 5883, 31689, 64835, 35351}},
+{12849, 17, 60511, {1, 1, 3, 3, 15, 47, 49, 115, 107, 757, 329, 1653, 4633, 14605, 1579, 62413, 88685}},
+{12850, 17, 60522, {1, 1, 1, 5, 19, 47, 63, 131, 427, 335, 269, 3581, 7613, 15685, 16957, 30487, 94965}},
+{12851, 17, 60529, {1, 1, 3, 15, 31, 11, 77, 115, 467, 249, 247, 651, 3769, 3701, 21627, 36219, 77309}},
+{12852, 17, 60530, {1, 3, 1, 5, 5, 29, 45, 21, 37, 733, 1773, 2467, 2747, 9391, 5449, 23285, 20089}},
+{12853, 17, 60536, {1, 3, 5, 13, 29, 31, 51, 199, 77, 711, 1313, 3303, 2675, 177, 7915, 37129, 123641}},
+{12854, 17, 60551, {1, 3, 7, 15, 17, 17, 99, 43, 9, 699, 491, 669, 1313, 1377, 30015, 59261, 97321}},
+{12855, 17, 60557, {1, 3, 1, 13, 9, 13, 21, 199, 249, 775, 399, 897, 2205, 15357, 17281, 3193, 255}},
+{12856, 17, 60566, {1, 3, 1, 13, 7, 23, 7, 181, 65, 253, 199, 333, 6507, 4409, 13319, 30165, 95191}},
+{12857, 17, 60576, {1, 3, 3, 1, 31, 9, 31, 71, 301, 867, 1655, 2065, 597, 15247, 3019, 31763, 91889}},
+{12858, 17, 60579, {1, 3, 5, 5, 3, 35, 113, 133, 39, 1013, 991, 3521, 5805, 87, 32393, 28619, 34325}},
+{12859, 17, 60585, {1, 3, 1, 9, 15, 27, 45, 85, 61, 99, 1085, 3251, 7085, 4137, 27443, 42581, 94031}},
+{12860, 17, 60588, {1, 1, 5, 7, 11, 49, 97, 129, 339, 259, 821, 165, 833, 11383, 21629, 17473, 2947}},
+{12861, 17, 60600, {1, 3, 3, 3, 11, 7, 27, 231, 169, 847, 1767, 1823, 3855, 14277, 12457, 55825, 14377}},
+{12862, 17, 60613, {1, 1, 7, 3, 27, 5, 47, 193, 207, 747, 271, 3155, 1097, 2229, 4919, 22327, 12659}},
+{12863, 17, 60628, {1, 1, 5, 3, 27, 29, 105, 199, 31, 73, 1741, 2173, 4577, 3917, 31513, 45983, 118015}},
+{12864, 17, 60631, {1, 1, 3, 1, 19, 5, 23, 249, 35, 891, 1105, 1907, 5453, 1877, 1965, 3169, 107091}},
+{12865, 17, 60648, {1, 1, 7, 9, 11, 47, 57, 171, 255, 661, 1925, 2223, 525, 4775, 12327, 8067, 47083}},
+{12866, 17, 60651, {1, 3, 3, 11, 29, 43, 37, 33, 459, 117, 7, 1739, 3585, 7429, 2217, 9533, 95299}},
+{12867, 17, 60653, {1, 1, 5, 11, 23, 3, 33, 13, 45, 201, 467, 597, 4891, 2673, 32407, 56935, 121991}},
+{12868, 17, 60671, {1, 1, 7, 5, 29, 63, 7, 59, 417, 547, 17, 3701, 5775, 1079, 26527, 47187, 14827}},
+{12869, 17, 60673, {1, 1, 5, 3, 27, 11, 85, 129, 377, 497, 1659, 1965, 581, 15075, 31265, 195, 62307}},
+{12870, 17, 60691, {1, 1, 3, 9, 3, 57, 33, 57, 279, 955, 741, 955, 6501, 8069, 27305, 15363, 34715}},
+{12871, 17, 60697, {1, 3, 7, 13, 29, 23, 25, 171, 201, 529, 661, 4089, 5755, 12459, 31269, 9763, 53217}},
+{12872, 17, 60700, {1, 3, 7, 1, 3, 19, 27, 201, 261, 421, 1487, 2907, 547, 15791, 7661, 42871, 116343}},
+{12873, 17, 60714, {1, 3, 7, 9, 5, 59, 51, 91, 7, 399, 2001, 661, 6577, 7473, 5439, 29073, 3391}},
+{12874, 17, 60724, {1, 1, 7, 1, 23, 39, 119, 105, 113, 913, 1097, 2547, 8143, 11409, 23197, 59527, 55677}},
+{12875, 17, 60728, {1, 3, 3, 15, 31, 35, 103, 207, 247, 801, 1821, 1995, 4437, 12891, 659, 15687, 53}},
+{12876, 17, 60733, {1, 3, 3, 5, 13, 5, 45, 187, 231, 661, 1553, 2909, 3715, 4499, 14773, 5957, 24171}},
+{12877, 17, 60736, {1, 1, 1, 11, 3, 53, 93, 29, 379, 713, 299, 445, 2815, 9825, 30941, 22413, 91563}},
+{12878, 17, 60745, {1, 3, 1, 1, 27, 31, 111, 83, 349, 895, 1007, 2649, 7139, 5863, 27739, 53099, 6837}},
+{12879, 17, 60746, {1, 3, 1, 5, 23, 57, 121, 229, 487, 405, 2001, 2761, 3011, 2219, 10711, 31139, 83809}},
+{12880, 17, 60753, {1, 3, 7, 5, 13, 51, 37, 181, 359, 909, 2001, 793, 1143, 9219, 5111, 23021, 126081}},
+{12881, 17, 60754, {1, 3, 1, 13, 27, 27, 99, 25, 189, 129, 1831, 1005, 8119, 2557, 26985, 63447, 89693}},
+{12882, 17, 60782, {1, 1, 7, 5, 1, 21, 79, 33, 99, 7, 433, 1343, 3121, 3705, 477, 41191, 13749}},
+{12883, 17, 60784, {1, 1, 5, 5, 29, 53, 75, 243, 35, 461, 1399, 129, 177, 6533, 22209, 23503, 43819}},
+{12884, 17, 60790, {1, 3, 7, 7, 31, 37, 109, 9, 255, 263, 35, 3451, 7629, 9849, 10387, 3165, 120623}},
+{12885, 17, 60793, {1, 3, 5, 3, 27, 53, 93, 111, 239, 723, 293, 1481, 4427, 13623, 1989, 47705, 122069}},
+{12886, 17, 60805, {1, 3, 7, 7, 31, 37, 37, 213, 191, 627, 1821, 3621, 2875, 15759, 17525, 50969, 35311}},
+{12887, 17, 60830, {1, 3, 5, 5, 11, 41, 87, 233, 79, 251, 25, 1385, 3527, 7853, 5541, 36519, 42779}},
+{12888, 17, 60836, {1, 3, 1, 5, 9, 1, 117, 11, 61, 879, 553, 383, 6237, 15207, 3057, 28051, 59149}},
+{12889, 17, 60846, {1, 1, 1, 15, 15, 7, 37, 133, 81, 815, 893, 2281, 2459, 15325, 20107, 2289, 34535}},
+{12890, 17, 60851, {1, 1, 5, 11, 17, 3, 45, 159, 409, 643, 969, 1289, 4353, 10465, 16233, 55561, 111667}},
+{12891, 17, 60880, {1, 1, 5, 13, 23, 1, 79, 127, 485, 1013, 629, 791, 853, 9247, 26333, 1123, 17313}},
+{12892, 17, 60896, {1, 1, 5, 11, 27, 17, 97, 157, 479, 421, 1739, 3257, 2419, 6673, 2759, 19399, 120305}},
+{12893, 17, 60905, {1, 3, 5, 1, 3, 43, 71, 55, 111, 949, 1957, 3777, 3409, 8229, 26585, 49221, 33639}},
+{12894, 17, 60923, {1, 3, 7, 9, 17, 45, 71, 71, 417, 1007, 213, 1069, 2693, 5065, 23489, 33363, 120459}},
+{12895, 17, 60925, {1, 1, 1, 1, 25, 47, 81, 251, 341, 101, 1941, 1133, 3205, 4141, 26561, 56095, 37193}},
+{12896, 17, 60932, {1, 1, 3, 7, 25, 45, 97, 95, 135, 871, 949, 3489, 7593, 10717, 26163, 12711, 76989}},
+{12897, 17, 60939, {1, 3, 1, 9, 3, 11, 35, 7, 471, 509, 1335, 385, 1297, 11201, 28553, 51609, 45351}},
+{12898, 17, 60942, {1, 1, 5, 11, 21, 23, 105, 31, 125, 5, 1721, 1503, 7807, 13093, 24873, 18467, 30183}},
+{12899, 17, 60953, {1, 3, 7, 15, 15, 57, 61, 213, 79, 655, 517, 1031, 6719, 4807, 12805, 2605, 35407}},
+{12900, 17, 60956, {1, 1, 3, 15, 21, 5, 93, 61, 103, 945, 935, 115, 1281, 7735, 20723, 37211, 50039}},
+{12901, 17, 60959, {1, 3, 3, 15, 19, 51, 79, 187, 127, 205, 121, 701, 6065, 15185, 29343, 58249, 25331}},
+{12902, 17, 60963, {1, 3, 3, 15, 17, 49, 23, 163, 201, 809, 1203, 687, 1777, 695, 18779, 31571, 118383}},
+{12903, 17, 60969, {1, 1, 1, 5, 25, 45, 121, 223, 233, 193, 1459, 1889, 5537, 4421, 13659, 4591, 112563}},
+{12904, 17, 60978, {1, 3, 5, 3, 31, 37, 109, 15, 381, 373, 993, 3633, 641, 4411, 32265, 46481, 49195}},
+{12905, 17, 60980, {1, 3, 3, 11, 19, 21, 39, 67, 447, 829, 1163, 55, 2153, 15045, 6643, 48235, 59261}},
+{12906, 17, 60987, {1, 3, 3, 1, 7, 63, 37, 71, 35, 601, 1719, 447, 8009, 7235, 13225, 44103, 82409}},
+{12907, 17, 61007, {1, 3, 3, 7, 13, 33, 69, 115, 207, 807, 109, 2989, 3727, 9017, 29095, 11377, 122401}},
+{12908, 17, 61012, {1, 1, 3, 15, 9, 9, 57, 197, 115, 73, 1277, 1727, 5275, 11897, 12157, 34763, 58273}},
+{12909, 17, 61015, {1, 1, 3, 15, 19, 19, 127, 105, 289, 663, 877, 1303, 4901, 8897, 4803, 36853, 93361}},
+{12910, 17, 61025, {1, 1, 3, 7, 23, 29, 121, 29, 439, 795, 1469, 523, 7767, 12061, 15613, 57343, 21291}},
+{12911, 17, 61026, {1, 1, 1, 9, 25, 29, 15, 165, 383, 233, 91, 2065, 2741, 7809, 5325, 48581, 65551}},
+{12912, 17, 61038, {1, 1, 5, 15, 29, 19, 103, 143, 283, 597, 1055, 3525, 6115, 11083, 22497, 42893, 86849}},
+{12913, 17, 61040, {1, 1, 1, 15, 13, 43, 75, 157, 267, 519, 1231, 929, 1585, 16137, 1045, 4353, 63473}},
+{12914, 17, 61052, {1, 1, 1, 9, 17, 25, 73, 227, 145, 921, 1845, 2057, 3099, 15523, 8993, 14135, 37811}},
+{12915, 17, 61061, {1, 3, 3, 15, 17, 57, 107, 215, 271, 841, 1543, 2803, 625, 15359, 13341, 36879, 83191}},
+{12916, 17, 61074, {1, 3, 5, 13, 3, 17, 127, 81, 193, 253, 71, 3205, 1157, 1313, 27341, 49657, 96539}},
+{12917, 17, 61083, {1, 3, 1, 5, 27, 43, 1, 111, 23, 963, 1853, 925, 7401, 13999, 29797, 47125, 59955}},
+{12918, 17, 61085, {1, 3, 3, 1, 31, 55, 107, 121, 37, 159, 61, 577, 5711, 6745, 20077, 42333, 37105}},
+{12919, 17, 61086, {1, 1, 5, 3, 31, 11, 1, 7, 295, 515, 203, 707, 2919, 9619, 8877, 45143, 101861}},
+{12920, 17, 61096, {1, 3, 7, 11, 5, 23, 71, 9, 99, 947, 1141, 1651, 1903, 13607, 15433, 55005, 127639}},
+{12921, 17, 61119, {1, 1, 7, 3, 13, 61, 25, 111, 239, 243, 1069, 3551, 3339, 743, 29921, 21313, 54953}},
+{12922, 17, 61124, {1, 1, 3, 3, 23, 7, 21, 47, 367, 871, 1647, 2183, 2615, 2257, 30447, 25761, 110221}},
+{12923, 17, 61127, {1, 3, 7, 15, 13, 51, 115, 19, 277, 463, 475, 3467, 7313, 2477, 10841, 13585, 61449}},
+{12924, 17, 61128, {1, 1, 7, 9, 1, 27, 111, 209, 391, 621, 1047, 549, 2013, 549, 24213, 6369, 68691}},
+{12925, 17, 61133, {1, 1, 1, 11, 19, 59, 11, 107, 79, 1013, 357, 1729, 889, 12823, 6537, 35717, 42761}},
+{12926, 17, 61134, {1, 1, 3, 15, 29, 41, 49, 177, 309, 293, 1035, 1481, 1395, 2009, 7917, 365, 28981}},
+{12927, 17, 61146, {1, 3, 7, 11, 31, 19, 51, 113, 479, 347, 353, 929, 1089, 3373, 2807, 55201, 23137}},
+{12928, 17, 61155, {1, 3, 1, 15, 7, 55, 79, 191, 267, 701, 1885, 1241, 7085, 9835, 24239, 7609, 13967}},
+{12929, 17, 61161, {1, 1, 3, 15, 25, 33, 69, 5, 93, 375, 435, 2401, 1591, 8173, 17293, 20281, 63809}},
+{12930, 17, 61162, {1, 3, 5, 3, 9, 49, 63, 47, 217, 773, 1241, 1131, 7521, 15607, 24341, 20353, 122801}},
+{12931, 17, 61169, {1, 3, 7, 15, 21, 1, 57, 159, 279, 987, 1641, 3883, 1659, 7875, 24857, 33273, 88933}},
+{12932, 17, 61179, {1, 1, 3, 11, 3, 23, 45, 31, 279, 643, 1285, 471, 137, 15871, 13927, 52361, 118901}},
+{12933, 17, 61182, {1, 3, 1, 15, 27, 51, 83, 19, 299, 213, 1001, 897, 2751, 13085, 20841, 24891, 113173}},
+{12934, 17, 61190, {1, 1, 7, 5, 5, 27, 77, 77, 165, 489, 359, 1607, 3903, 16241, 641, 25999, 29279}},
+{12935, 17, 61201, {1, 3, 3, 7, 15, 23, 103, 49, 259, 519, 641, 1577, 3713, 12181, 287, 29483, 58505}},
+{12936, 17, 61208, {1, 1, 7, 13, 11, 29, 125, 45, 45, 167, 261, 2735, 2421, 15457, 5965, 44005, 82141}},
+{12937, 17, 61238, {1, 1, 3, 9, 25, 21, 9, 3, 57, 1017, 1359, 79, 6789, 7805, 20683, 25695, 38893}},
+{12938, 17, 61241, {1, 1, 7, 1, 29, 53, 87, 171, 51, 5, 9, 3033, 787, 10611, 15913, 35703, 70459}},
+{12939, 17, 61247, {1, 1, 3, 5, 1, 33, 111, 139, 477, 33, 1287, 3615, 5235, 15491, 2915, 47821, 55257}},
+{12940, 17, 61259, {1, 1, 1, 13, 5, 23, 55, 225, 303, 587, 1595, 307, 3809, 8093, 13297, 63213, 104317}},
+{12941, 17, 61267, {1, 1, 3, 15, 31, 29, 13, 33, 267, 481, 1039, 3805, 2549, 861, 12483, 61829, 127725}},
+{12942, 17, 61269, {1, 3, 5, 11, 23, 17, 23, 117, 333, 167, 1965, 1387, 5453, 15545, 123, 12991, 36281}},
+{12943, 17, 61295, {1, 3, 5, 1, 3, 9, 25, 55, 497, 951, 1377, 993, 6089, 4801, 32719, 31579, 126663}},
+{12944, 17, 61304, {1, 3, 5, 11, 15, 37, 103, 51, 509, 585, 769, 425, 835, 14027, 30265, 55735, 36655}},
+{12945, 17, 61309, {1, 1, 1, 13, 9, 49, 105, 61, 493, 3, 1663, 815, 8105, 16361, 32477, 30437, 61519}},
+{12946, 17, 61310, {1, 3, 7, 11, 29, 23, 105, 87, 119, 399, 1405, 1515, 7017, 12729, 13769, 29741, 30921}},
+{12947, 17, 61313, {1, 3, 7, 13, 13, 7, 93, 227, 489, 843, 923, 3373, 759, 5105, 9059, 21079, 101335}},
+{12948, 17, 61320, {1, 1, 1, 1, 29, 53, 119, 227, 171, 363, 289, 827, 425, 12827, 25791, 21587, 109567}},
+{12949, 17, 61325, {1, 1, 5, 11, 29, 29, 53, 127, 441, 219, 1049, 275, 525, 5535, 20907, 9299, 76319}},
+{12950, 17, 61334, {1, 3, 7, 15, 3, 53, 109, 61, 275, 391, 1147, 2953, 1439, 4417, 679, 10949, 35101}},
+{12951, 17, 61337, {1, 1, 5, 13, 9, 1, 109, 137, 249, 835, 721, 129, 2883, 13043, 31827, 36741, 107167}},
+{12952, 17, 61386, {1, 1, 5, 9, 27, 17, 117, 121, 111, 433, 743, 1987, 6839, 8439, 2533, 62135, 54281}},
+{12953, 17, 61399, {1, 3, 5, 15, 11, 61, 117, 103, 409, 485, 1047, 469, 2245, 7193, 2541, 9399, 88127}},
+{12954, 17, 61422, {1, 3, 1, 9, 3, 49, 111, 201, 87, 181, 1243, 3261, 1827, 10385, 13045, 58331, 107729}},
+{12955, 17, 61429, {1, 3, 5, 15, 13, 29, 61, 223, 227, 733, 1757, 755, 4231, 13537, 1509, 54623, 120221}},
+{12956, 17, 61436, {1, 1, 1, 15, 13, 9, 7, 233, 391, 689, 355, 1203, 5811, 7759, 2647, 54949, 51891}},
+{12957, 17, 61439, {1, 1, 3, 1, 3, 27, 95, 51, 497, 315, 915, 1055, 2917, 167, 1849, 26591, 102729}},
+{12958, 17, 61466, {1, 3, 7, 13, 1, 51, 3, 113, 437, 449, 1889, 2887, 4735, 5693, 8191, 12847, 52651}},
+{12959, 17, 61477, {1, 1, 7, 13, 1, 45, 41, 221, 403, 185, 1653, 1809, 6405, 9193, 1381, 36677, 43255}},
+{12960, 17, 61478, {1, 1, 5, 1, 25, 51, 109, 245, 291, 809, 1381, 3235, 5933, 10185, 18663, 15589, 39539}},
+{12961, 17, 61490, {1, 3, 3, 1, 27, 29, 3, 227, 275, 705, 489, 681, 323, 7453, 26005, 13791, 115219}},
+{12962, 17, 61495, {1, 3, 5, 1, 3, 51, 101, 75, 157, 529, 45, 3105, 3617, 13081, 21665, 50065, 117823}},
+{12963, 17, 61504, {1, 3, 5, 15, 9, 43, 41, 169, 391, 455, 1375, 253, 1257, 14427, 16325, 11571, 26361}},
+{12964, 17, 61514, {1, 1, 5, 7, 5, 41, 81, 173, 275, 225, 301, 335, 5473, 1509, 20897, 21951, 103967}},
+{12965, 17, 61516, {1, 3, 5, 1, 13, 27, 107, 19, 221, 609, 823, 1193, 665, 4947, 11967, 57373, 21665}},
+{12966, 17, 61521, {1, 3, 7, 13, 7, 11, 109, 59, 193, 103, 943, 595, 5121, 6159, 2103, 52863, 57541}},
+{12967, 17, 61527, {1, 3, 5, 3, 5, 51, 85, 227, 465, 1013, 601, 1687, 7615, 5991, 8635, 64487, 69967}},
+{12968, 17, 61531, {1, 3, 1, 11, 29, 49, 79, 25, 447, 119, 569, 383, 5261, 6209, 21965, 40863, 96593}},
+{12969, 17, 61540, {1, 1, 3, 13, 9, 49, 59, 93, 369, 789, 1373, 425, 3565, 13357, 17783, 46435, 129653}},
+{12970, 17, 61550, {1, 3, 7, 5, 5, 39, 51, 15, 421, 531, 1855, 2105, 5335, 8509, 20841, 44997, 48235}},
+{12971, 17, 61557, {1, 3, 7, 3, 27, 47, 113, 1, 453, 565, 1843, 243, 7663, 10697, 7725, 24485, 49435}},
+{12972, 17, 61562, {1, 1, 1, 11, 25, 25, 47, 1, 475, 831, 1833, 391, 5173, 14873, 14263, 36061, 26781}},
+{12973, 17, 61577, {1, 1, 7, 15, 21, 13, 5, 169, 241, 235, 547, 1565, 2053, 6877, 12811, 22213, 106907}},
+{12974, 17, 61583, {1, 3, 7, 1, 21, 11, 101, 115, 243, 985, 1389, 2189, 563, 12453, 14951, 58889, 48079}},
+{12975, 17, 61597, {1, 1, 5, 7, 9, 37, 33, 241, 337, 453, 1955, 1731, 4445, 8887, 27715, 63975, 95891}},
+{12976, 17, 61602, {1, 1, 5, 1, 23, 21, 95, 237, 241, 991, 1159, 2417, 2279, 8941, 20987, 39773, 79327}},
+{12977, 17, 61604, {1, 3, 3, 1, 19, 39, 73, 253, 137, 1009, 1793, 4007, 2017, 7503, 16689, 29013, 41571}},
+{12978, 17, 61607, {1, 3, 7, 15, 3, 63, 77, 11, 293, 495, 339, 3525, 5747, 1807, 11705, 55807, 54163}},
+{12979, 17, 61622, {1, 3, 7, 3, 25, 41, 127, 23, 113, 807, 387, 3529, 2173, 11217, 21257, 61169, 47749}},
+{12980, 17, 61625, {1, 3, 3, 5, 27, 5, 43, 55, 207, 995, 811, 1473, 481, 4317, 2015, 49161, 94711}},
+{12981, 17, 61633, {1, 3, 1, 9, 21, 61, 41, 147, 425, 353, 1943, 2455, 379, 10729, 3045, 16013, 44527}},
+{12982, 17, 61640, {1, 3, 1, 5, 17, 43, 109, 231, 313, 277, 939, 3491, 5883, 2297, 4763, 33403, 62395}},
+{12983, 17, 61643, {1, 1, 3, 9, 1, 49, 37, 145, 383, 467, 621, 2873, 873, 6163, 16475, 49045, 115599}},
+{12984, 17, 61651, {1, 1, 1, 9, 5, 15, 125, 157, 459, 727, 807, 2769, 5531, 11531, 4277, 42301, 16969}},
+{12985, 17, 61658, {1, 1, 3, 1, 15, 23, 39, 121, 163, 537, 409, 1217, 8007, 5671, 19681, 25371, 69227}},
+{12986, 17, 61670, {1, 3, 7, 9, 23, 1, 93, 41, 267, 995, 1917, 3441, 6237, 7233, 30215, 31945, 33967}},
+{12987, 17, 61674, {1, 1, 1, 15, 7, 5, 123, 53, 359, 677, 1061, 1649, 651, 14079, 30211, 14827, 123175}},
+{12988, 17, 61676, {1, 3, 1, 5, 11, 19, 121, 135, 167, 293, 493, 949, 5459, 11785, 21445, 57161, 129737}},
+{12989, 17, 61679, {1, 1, 3, 13, 19, 39, 43, 55, 149, 549, 479, 925, 341, 1151, 12007, 23473, 10671}},
+{12990, 17, 61688, {1, 3, 5, 9, 7, 41, 37, 103, 381, 373, 1767, 3959, 3001, 7903, 24033, 55123, 93627}},
+{12991, 17, 61693, {1, 3, 3, 3, 31, 27, 93, 175, 393, 575, 703, 3715, 6043, 11763, 7613, 15907, 56821}},
+{12992, 17, 61701, {1, 3, 3, 13, 3, 13, 75, 85, 89, 851, 1171, 3075, 5265, 10293, 14745, 32153, 89877}},
+{12993, 17, 61711, {1, 1, 7, 11, 1, 25, 101, 149, 187, 197, 1485, 1555, 1599, 7413, 23275, 27093, 73483}},
+{12994, 17, 61714, {1, 3, 1, 1, 19, 15, 63, 111, 211, 197, 77, 1683, 3159, 235, 32601, 35715, 59537}},
+{12995, 17, 61723, {1, 3, 5, 11, 23, 61, 91, 135, 403, 669, 267, 2507, 2931, 7813, 5047, 40027, 111705}},
+{12996, 17, 61725, {1, 1, 5, 13, 7, 5, 65, 37, 87, 405, 335, 1095, 3717, 1717, 31551, 28181, 47407}},
+{12997, 17, 61726, {1, 1, 5, 13, 3, 43, 67, 99, 507, 861, 1063, 3003, 6095, 11079, 6919, 41597, 97709}},
+{12998, 17, 61729, {1, 1, 3, 1, 7, 23, 109, 161, 321, 499, 549, 363, 2061, 6519, 1531, 1969, 83845}},
+{12999, 17, 61741, {1, 3, 7, 5, 17, 39, 55, 59, 455, 433, 601, 365, 7987, 2207, 3463, 31755, 94203}},
+{13000, 17, 61761, {1, 3, 5, 5, 29, 61, 79, 101, 125, 1011, 867, 2935, 3269, 13601, 21935, 50355, 65883}},
+{13001, 17, 61779, {1, 1, 1, 5, 3, 41, 101, 107, 299, 125, 81, 2421, 2937, 787, 19479, 25803, 74473}},
+{13002, 17, 61781, {1, 3, 3, 1, 3, 15, 73, 13, 167, 387, 75, 601, 415, 6927, 32277, 16709, 12477}},
+{13003, 17, 61782, {1, 1, 5, 1, 19, 37, 53, 45, 139, 737, 159, 2299, 6219, 11613, 22873, 18303, 56875}},
+{13004, 17, 61797, {1, 1, 3, 9, 23, 15, 17, 37, 373, 445, 1369, 2997, 49, 13901, 13155, 37375, 29063}},
+{13005, 17, 61809, {1, 3, 3, 11, 17, 1, 45, 91, 445, 631, 1297, 1907, 3765, 13893, 29379, 17939, 36573}},
+{13006, 17, 61810, {1, 1, 7, 13, 11, 31, 101, 165, 413, 305, 361, 4019, 3183, 2321, 7819, 49275, 101041}},
+{13007, 17, 61816, {1, 1, 7, 1, 13, 43, 125, 165, 357, 293, 1343, 2219, 4189, 6095, 28509, 27763, 53871}},
+{13008, 17, 61822, {1, 3, 3, 11, 29, 33, 105, 71, 297, 637, 1493, 3797, 5525, 15093, 21647, 57647, 1467}},
+{13009, 17, 61849, {1, 1, 1, 13, 19, 7, 5, 141, 71, 221, 923, 1039, 4777, 9481, 1267, 55345, 116061}},
+{13010, 17, 61876, {1, 1, 7, 11, 19, 43, 57, 243, 21, 217, 1075, 569, 3735, 10477, 18595, 34133, 70391}},
+{13011, 17, 61893, {1, 3, 3, 1, 21, 61, 7, 135, 401, 101, 321, 2959, 7371, 3303, 23023, 28163, 19833}},
+{13012, 17, 61905, {1, 1, 3, 9, 31, 43, 27, 243, 297, 145, 663, 3951, 4283, 10421, 9355, 30381, 68317}},
+{13013, 17, 61908, {1, 3, 7, 13, 29, 53, 101, 253, 49, 129, 831, 513, 5567, 5063, 157, 6465, 90983}},
+{13014, 17, 61911, {1, 1, 5, 15, 27, 29, 3, 231, 503, 173, 913, 3971, 7685, 9679, 32243, 967, 73195}},
+{13015, 17, 61912, {1, 1, 1, 15, 19, 55, 127, 3, 405, 239, 1063, 3473, 7543, 4049, 14509, 22657, 5611}},
+{13016, 17, 61928, {1, 3, 7, 1, 21, 39, 61, 249, 421, 401, 1667, 1981, 5503, 9191, 24027, 35049, 12199}},
+{13017, 17, 61934, {1, 3, 5, 5, 27, 1, 99, 83, 287, 997, 721, 1345, 2197, 6335, 4245, 42575, 102635}},
+{13018, 17, 61957, {1, 3, 3, 1, 31, 7, 103, 107, 387, 273, 951, 2475, 1275, 15607, 2159, 55083, 86107}},
+{13019, 17, 61961, {1, 3, 3, 5, 21, 59, 69, 55, 121, 601, 5, 1871, 7161, 4583, 23867, 7933, 3125}},
+{13020, 17, 61969, {1, 1, 1, 15, 17, 41, 51, 45, 383, 579, 713, 275, 1395, 11665, 30521, 11683, 126493}},
+{13021, 17, 61979, {1, 1, 1, 15, 17, 47, 15, 139, 175, 283, 1377, 827, 5753, 8855, 26437, 59219, 105601}},
+{13022, 17, 61982, {1, 1, 7, 11, 13, 3, 27, 141, 137, 851, 767, 2575, 7685, 11719, 24401, 52547, 127299}},
+{13023, 17, 62003, {1, 3, 3, 9, 11, 41, 75, 69, 167, 897, 1213, 3723, 6773, 12141, 28033, 19695, 128545}},
+{13024, 17, 62006, {1, 1, 5, 13, 7, 61, 55, 131, 465, 169, 1669, 711, 5901, 10769, 11273, 23809, 63625}},
+{13025, 17, 62010, {1, 1, 5, 1, 27, 25, 35, 167, 83, 921, 251, 2571, 6723, 14767, 26715, 21699, 60779}},
+{13026, 17, 62015, {1, 3, 1, 9, 15, 5, 59, 241, 405, 323, 1917, 1161, 6079, 13443, 13079, 58617, 63381}},
+{13027, 17, 62020, {1, 3, 1, 5, 9, 5, 79, 123, 87, 395, 667, 2787, 3711, 3613, 1803, 17885, 78975}},
+{13028, 17, 62024, {1, 3, 3, 5, 17, 45, 61, 107, 485, 163, 33, 1491, 7131, 59, 27327, 8043, 14907}},
+{13029, 17, 62029, {1, 3, 1, 11, 27, 37, 5, 251, 115, 339, 1621, 2013, 3517, 2213, 10145, 47121, 84485}},
+{13030, 17, 62032, {1, 3, 3, 1, 9, 11, 71, 25, 363, 867, 1485, 3897, 3339, 7599, 20777, 52009, 127097}},
+{13031, 17, 62035, {1, 1, 3, 9, 25, 37, 29, 231, 183, 315, 399, 879, 6169, 6355, 3729, 9187, 19405}},
+{13032, 17, 62038, {1, 3, 5, 3, 31, 37, 127, 71, 171, 687, 1237, 151, 7391, 2395, 11979, 23381, 117879}},
+{13033, 17, 62047, {1, 1, 1, 13, 13, 43, 71, 235, 131, 79, 1321, 235, 2221, 1133, 13509, 12205, 44771}},
+{13034, 17, 62068, {1, 3, 7, 5, 29, 51, 125, 191, 153, 35, 1657, 2141, 3701, 7177, 31723, 15189, 55441}},
+{13035, 17, 62071, {1, 1, 5, 1, 5, 35, 13, 165, 461, 255, 1825, 1531, 6195, 7717, 973, 12367, 71747}},
+{13036, 17, 62082, {1, 3, 1, 9, 13, 57, 25, 83, 389, 405, 227, 1037, 3805, 15653, 25365, 47991, 54315}},
+{13037, 17, 62088, {1, 1, 1, 13, 17, 55, 113, 151, 145, 951, 1849, 2205, 6513, 7845, 7947, 59429, 44911}},
+{13038, 17, 62096, {1, 3, 5, 3, 25, 9, 99, 159, 183, 445, 153, 3053, 2537, 1787, 19029, 60047, 128203}},
+{13039, 17, 62108, {1, 1, 5, 5, 31, 37, 13, 11, 271, 491, 1141, 1827, 3751, 9471, 7579, 35969, 95245}},
+{13040, 17, 62124, {1, 3, 3, 15, 1, 43, 9, 109, 13, 991, 345, 1577, 947, 3197, 16747, 8127, 116937}},
+{13041, 17, 62142, {1, 3, 3, 15, 11, 17, 103, 89, 33, 741, 1855, 2879, 3899, 9535, 15119, 56165, 86055}},
+{13042, 17, 62147, {1, 3, 5, 1, 31, 41, 57, 205, 69, 163, 1383, 2087, 6483, 6281, 32079, 40825, 28709}},
+{13043, 17, 62153, {1, 1, 1, 13, 23, 57, 103, 247, 421, 773, 1733, 3249, 6681, 9675, 11669, 51673, 86189}},
+{13044, 17, 62159, {1, 1, 5, 15, 7, 37, 63, 123, 77, 941, 277, 1061, 803, 2135, 15745, 47413, 73843}},
+{13045, 17, 62161, {1, 1, 3, 5, 19, 15, 35, 59, 321, 527, 1669, 2929, 513, 4453, 20521, 19781, 115501}},
+{13046, 17, 62171, {1, 1, 7, 3, 23, 1, 99, 251, 129, 271, 1555, 1191, 2445, 11533, 11921, 19131, 80653}},
+{13047, 17, 62189, {1, 1, 7, 15, 15, 33, 79, 89, 113, 517, 1655, 43, 6255, 15415, 19559, 63309, 16857}},
+{13048, 17, 62207, {1, 3, 5, 1, 13, 61, 87, 159, 65, 875, 163, 663, 7651, 8775, 32505, 39313, 83331}},
+{13049, 17, 62227, {1, 1, 7, 15, 27, 19, 63, 117, 427, 233, 1243, 755, 3201, 5153, 31959, 64545, 69219}},
+{13050, 17, 62230, {1, 1, 5, 3, 3, 27, 15, 11, 427, 431, 107, 2433, 6923, 7503, 31347, 64849, 14541}},
+{13051, 17, 62234, {1, 1, 3, 11, 7, 23, 53, 253, 483, 63, 1749, 2989, 5219, 7361, 6423, 1503, 95431}},
+{13052, 17, 62236, {1, 1, 5, 9, 1, 19, 23, 25, 301, 665, 1457, 2423, 6623, 9771, 2755, 8963, 51037}},
+{13053, 17, 62239, {1, 3, 3, 7, 21, 1, 3, 131, 377, 897, 15, 437, 4075, 7669, 31529, 64123, 101249}},
+{13054, 17, 62257, {1, 3, 5, 3, 31, 41, 99, 27, 397, 393, 1895, 2249, 3925, 6393, 2839, 375, 56721}},
+{13055, 17, 62270, {1, 3, 7, 15, 1, 45, 65, 113, 85, 557, 857, 2281, 1395, 2055, 2405, 34541, 63719}},
+{13056, 17, 62278, {1, 3, 1, 15, 7, 43, 21, 29, 15, 229, 1287, 3005, 339, 5833, 21867, 21643, 37557}},
+{13057, 17, 62287, {1, 3, 7, 3, 3, 51, 67, 119, 423, 539, 1995, 4039, 2999, 2787, 29327, 62687, 11893}},
+{13058, 17, 62295, {1, 3, 7, 3, 25, 23, 85, 11, 105, 523, 889, 2983, 2031, 2049, 16119, 41925, 38345}},
+{13059, 17, 62301, {1, 3, 7, 3, 13, 63, 59, 65, 183, 695, 293, 3301, 7895, 13915, 25847, 22819, 92189}},
+{13060, 17, 62306, {1, 1, 3, 3, 7, 27, 101, 229, 435, 227, 1759, 1275, 5781, 6079, 25125, 64833, 69577}},
+{13061, 17, 62312, {1, 1, 3, 1, 29, 1, 61, 45, 193, 441, 687, 841, 4491, 10683, 13989, 60461, 78071}},
+{13062, 17, 62317, {1, 3, 1, 9, 5, 33, 99, 229, 181, 675, 1629, 1855, 4719, 9585, 8059, 26363, 31161}},
+{13063, 17, 62330, {1, 3, 1, 11, 11, 37, 79, 53, 163, 49, 1173, 1715, 8087, 6535, 14985, 24069, 118597}},
+{13064, 17, 62342, {1, 1, 7, 15, 9, 59, 123, 79, 237, 131, 1693, 2525, 6339, 9843, 24309, 24969, 37645}},
+{13065, 17, 62359, {1, 3, 3, 7, 19, 49, 85, 133, 415, 239, 555, 2581, 6523, 2733, 19665, 19989, 105585}},
+{13066, 17, 62365, {1, 3, 3, 7, 23, 37, 31, 121, 59, 7, 2031, 2893, 6429, 10305, 21221, 20105, 38879}},
+{13067, 17, 62366, {1, 3, 1, 13, 23, 21, 93, 93, 343, 641, 411, 971, 1777, 2135, 22895, 9055, 114457}},
+{13068, 17, 62370, {1, 3, 5, 3, 15, 33, 23, 7, 59, 413, 277, 3551, 7737, 2285, 7951, 5013, 94469}},
+{13069, 17, 62375, {1, 3, 1, 15, 25, 1, 109, 245, 153, 187, 1099, 1071, 145, 6735, 10327, 3921, 62123}},
+{13070, 17, 62376, {1, 1, 7, 11, 11, 53, 51, 123, 277, 281, 1763, 3161, 7639, 14515, 29725, 3919, 5525}},
+{13071, 17, 62387, {1, 3, 3, 15, 27, 47, 109, 121, 317, 221, 187, 617, 1331, 5401, 861, 62465, 9227}},
+{13072, 17, 62404, {1, 3, 3, 15, 27, 25, 101, 111, 469, 85, 1285, 1621, 5393, 1367, 17115, 35141, 126989}},
+{13073, 17, 62411, {1, 3, 5, 1, 15, 23, 25, 249, 69, 17, 1103, 2603, 59, 15637, 22051, 29243, 53113}},
+{13074, 17, 62435, {1, 3, 1, 9, 17, 49, 73, 13, 207, 963, 379, 3561, 6447, 7895, 18651, 8109, 3943}},
+{13075, 17, 62441, {1, 3, 5, 11, 7, 41, 55, 85, 481, 831, 593, 4093, 1151, 12353, 24231, 46091, 80967}},
+{13076, 17, 62442, {1, 3, 7, 7, 5, 39, 47, 187, 427, 1007, 813, 3617, 6063, 12981, 18573, 34061, 85741}},
+{13077, 17, 62452, {1, 3, 3, 11, 9, 17, 29, 141, 341, 485, 1075, 4067, 7247, 11295, 31803, 18347, 54985}},
+{13078, 17, 62459, {1, 1, 3, 7, 17, 25, 7, 29, 355, 35, 1753, 669, 4123, 4293, 22875, 36677, 61201}},
+{13079, 17, 62461, {1, 1, 5, 9, 13, 45, 29, 153, 169, 387, 1275, 3161, 4937, 5331, 16203, 43925, 129231}},
+{13080, 17, 62473, {1, 3, 3, 9, 19, 27, 109, 95, 499, 929, 1627, 3215, 6097, 15837, 5655, 29877, 122513}},
+{13081, 17, 62474, {1, 3, 7, 11, 1, 25, 15, 41, 65, 411, 289, 883, 5069, 8405, 11159, 57357, 114253}},
+{13082, 17, 62493, {1, 1, 3, 11, 31, 57, 39, 89, 77, 321, 1667, 871, 6429, 1005, 18905, 13877, 9305}},
+{13083, 17, 62510, {1, 1, 7, 7, 27, 57, 23, 37, 281, 625, 1871, 565, 5979, 13925, 22591, 2375, 8577}},
+{13084, 17, 62518, {1, 1, 1, 7, 31, 35, 91, 221, 495, 811, 1321, 2235, 4287, 3009, 5745, 35013, 93715}},
+{13085, 17, 62524, {1, 1, 7, 3, 11, 53, 17, 13, 319, 225, 117, 3365, 537, 5249, 14219, 23879, 4321}},
+{13086, 17, 62549, {1, 3, 5, 1, 31, 57, 35, 95, 257, 933, 471, 627, 6733, 8707, 25173, 44291, 105041}},
+{13087, 17, 62556, {1, 1, 3, 3, 31, 53, 69, 19, 277, 669, 497, 3957, 2781, 14107, 27741, 53519, 41057}},
+{13088, 17, 62565, {1, 1, 3, 15, 11, 21, 11, 25, 257, 665, 491, 2119, 3893, 14401, 29147, 3369, 116569}},
+{13089, 17, 62566, {1, 3, 1, 1, 13, 49, 31, 231, 217, 711, 1987, 1487, 7073, 473, 28781, 51283, 86049}},
+{13090, 17, 62580, {1, 1, 1, 5, 23, 31, 119, 115, 381, 179, 1725, 2323, 8013, 15191, 13255, 57813, 95437}},
+{13091, 17, 62584, {1, 1, 3, 15, 15, 37, 83, 223, 259, 605, 2013, 4089, 395, 2063, 11735, 51931, 74677}},
+{13092, 17, 62589, {1, 1, 7, 3, 1, 61, 107, 169, 213, 789, 425, 2309, 225, 1305, 20697, 26281, 60129}},
+{13093, 17, 62596, {1, 1, 5, 15, 27, 15, 69, 169, 289, 931, 1491, 3711, 6875, 7723, 21103, 31795, 53955}},
+{13094, 17, 62608, {1, 1, 1, 3, 3, 43, 49, 205, 247, 817, 2037, 2305, 7935, 255, 18835, 49423, 90727}},
+{13095, 17, 62636, {1, 3, 7, 9, 17, 3, 95, 239, 431, 665, 1271, 3559, 5703, 14607, 9723, 11807, 122937}},
+{13096, 17, 62642, {1, 3, 5, 13, 5, 15, 13, 111, 375, 895, 833, 813, 5451, 13841, 1321, 25273, 25443}},
+{13097, 17, 62651, {1, 1, 3, 1, 11, 49, 3, 97, 467, 631, 51, 3577, 1777, 15965, 6837, 38827, 68627}},
+{13098, 17, 62654, {1, 1, 7, 1, 3, 11, 73, 155, 77, 623, 811, 337, 6837, 10925, 2097, 28325, 97487}},
+{13099, 17, 62659, {1, 1, 1, 3, 29, 35, 9, 215, 415, 143, 1837, 3723, 73, 11305, 23187, 19995, 52987}},
+{13100, 17, 62666, {1, 1, 7, 1, 25, 39, 35, 67, 245, 295, 1143, 2043, 1049, 629, 14111, 62893, 86899}},
+{13101, 17, 62680, {1, 3, 7, 5, 3, 41, 123, 97, 241, 743, 259, 3163, 2289, 6363, 24033, 10789, 44117}},
+{13102, 17, 62692, {1, 3, 1, 7, 25, 33, 33, 17, 359, 567, 901, 3595, 179, 8671, 841, 24787, 4367}},
+{13103, 17, 62701, {1, 3, 1, 13, 5, 13, 57, 185, 321, 727, 789, 3081, 5345, 9721, 32029, 11663, 55695}},
+{13104, 17, 62702, {1, 1, 7, 7, 5, 51, 85, 255, 329, 263, 297, 1687, 6799, 10973, 8265, 19615, 115333}},
+{13105, 17, 62714, {1, 1, 1, 5, 29, 27, 55, 167, 465, 73, 661, 137, 7831, 2571, 15373, 64223, 27335}},
+{13106, 17, 62716, {1, 3, 7, 13, 5, 23, 77, 15, 345, 21, 1729, 3231, 967, 12573, 31415, 24249, 110525}},
+{13107, 17, 62733, {1, 1, 7, 9, 31, 37, 41, 119, 169, 891, 1845, 2139, 1747, 1147, 21983, 11617, 25963}},
+{13108, 17, 62762, {1, 3, 3, 7, 23, 5, 1, 11, 95, 795, 1371, 2631, 3241, 6935, 17353, 25013, 89765}},
+{13109, 17, 62769, {1, 3, 1, 7, 19, 3, 121, 19, 389, 117, 1905, 3135, 7601, 12541, 20855, 38613, 15005}},
+{13110, 17, 62770, {1, 3, 3, 5, 17, 43, 91, 99, 113, 545, 1955, 37, 3411, 15173, 24961, 28761, 15245}},
+{13111, 17, 62787, {1, 3, 3, 13, 25, 9, 83, 17, 17, 271, 1133, 3851, 4607, 11017, 14867, 20677, 42881}},
+{13112, 17, 62794, {1, 1, 5, 15, 5, 9, 99, 179, 263, 623, 441, 2577, 189, 11595, 21505, 27215, 54081}},
+{13113, 17, 62801, {1, 1, 7, 1, 1, 63, 123, 119, 245, 467, 169, 3075, 909, 3581, 14571, 33071, 6261}},
+{13114, 17, 62807, {1, 1, 1, 13, 9, 35, 47, 161, 47, 893, 57, 703, 3373, 4167, 26555, 51265, 1391}},
+{13115, 17, 62808, {1, 3, 1, 13, 9, 61, 9, 5, 47, 259, 579, 113, 355, 14539, 25757, 10119, 96869}},
+{13116, 17, 62813, {1, 1, 5, 11, 3, 5, 61, 231, 291, 21, 1711, 2981, 4727, 14287, 12149, 40275, 51809}},
+{13117, 17, 62817, {1, 3, 5, 3, 21, 5, 87, 251, 373, 679, 949, 1023, 5183, 14549, 4135, 54927, 20369}},
+{13118, 17, 62818, {1, 3, 3, 11, 7, 43, 127, 97, 469, 81, 1843, 3955, 125, 8607, 27185, 50761, 122753}},
+{13119, 17, 62832, {1, 3, 5, 5, 25, 61, 1, 55, 333, 949, 1005, 1051, 6291, 8343, 9627, 37739, 116911}},
+{13120, 17, 62841, {1, 3, 3, 13, 21, 9, 67, 225, 179, 837, 2009, 3171, 217, 5629, 23451, 63171, 53225}},
+{13121, 17, 62857, {1, 3, 7, 1, 23, 15, 91, 163, 351, 883, 579, 3923, 2641, 12735, 24955, 1131, 65119}},
+{13122, 17, 62860, {1, 1, 1, 11, 29, 5, 113, 217, 171, 535, 913, 2419, 3843, 12365, 8287, 27367, 57369}},
+{13123, 17, 62871, {1, 1, 5, 11, 9, 41, 57, 243, 123, 159, 1517, 2653, 4307, 4243, 2801, 43131, 18435}},
+{13124, 17, 62882, {1, 1, 7, 9, 23, 59, 83, 159, 57, 723, 1635, 7, 1463, 121, 541, 7657, 83917}},
+{13125, 17, 62888, {1, 3, 7, 7, 23, 27, 125, 103, 247, 1019, 1063, 3979, 8085, 6449, 12443, 63427, 106235}},
+{13126, 17, 62913, {1, 1, 7, 5, 9, 31, 23, 83, 503, 605, 1731, 3341, 7427, 14571, 5981, 39043, 42965}},
+{13127, 17, 62919, {1, 3, 5, 1, 17, 49, 109, 171, 301, 951, 1879, 1317, 457, 8085, 6803, 62521, 67871}},
+{13128, 17, 62920, {1, 1, 7, 11, 11, 27, 1, 71, 335, 137, 265, 1267, 6399, 14823, 925, 49895, 19731}},
+{13129, 17, 62925, {1, 3, 1, 13, 3, 35, 75, 253, 211, 483, 1495, 3695, 3033, 14643, 1861, 51269, 32655}},
+{13130, 17, 62933, {1, 3, 7, 1, 5, 17, 63, 1, 83, 435, 2007, 2023, 57, 8639, 27067, 4039, 1955}},
+{13131, 17, 62938, {1, 3, 5, 15, 27, 51, 59, 47, 77, 131, 507, 559, 645, 16067, 20989, 15565, 39925}},
+{13132, 17, 62940, {1, 3, 3, 5, 11, 15, 63, 121, 39, 1019, 1027, 2821, 3297, 13769, 18587, 14199, 82251}},
+{13133, 17, 62949, {1, 1, 5, 1, 31, 11, 89, 75, 147, 1007, 917, 3519, 5097, 5695, 15185, 14819, 38597}},
+{13134, 17, 62956, {1, 3, 3, 3, 15, 7, 127, 55, 83, 887, 1901, 75, 639, 713, 13631, 27447, 106707}},
+{13135, 17, 62971, {1, 3, 3, 15, 27, 25, 85, 163, 187, 959, 815, 1403, 6129, 6515, 31597, 28307, 30077}},
+{13136, 17, 62978, {1, 3, 1, 13, 5, 19, 117, 89, 11, 489, 845, 2899, 3695, 3279, 22355, 38759, 85849}},
+{13137, 17, 62990, {1, 3, 1, 7, 25, 59, 109, 185, 87, 591, 825, 1119, 7439, 5451, 17959, 51299, 76693}},
+{13138, 17, 62995, {1, 1, 7, 5, 25, 29, 115, 249, 185, 529, 593, 103, 1739, 4769, 25925, 3317, 102445}},
+{13139, 17, 62997, {1, 1, 3, 1, 3, 35, 19, 255, 279, 295, 1075, 2817, 3513, 7501, 15885, 21653, 113447}},
+{13140, 17, 63004, {1, 3, 1, 5, 27, 1, 21, 137, 303, 981, 631, 2339, 397, 13075, 28815, 50925, 44379}},
+{13141, 17, 63011, {1, 1, 7, 7, 31, 31, 59, 129, 105, 181, 1041, 2685, 1061, 1721, 30365, 6873, 30011}},
+{13142, 17, 63032, {1, 1, 3, 1, 19, 31, 125, 39, 9, 631, 1239, 1061, 6313, 9639, 5991, 27293, 84635}},
+{13143, 17, 63038, {1, 3, 3, 11, 17, 59, 17, 241, 195, 175, 1845, 251, 3323, 13399, 20493, 15241, 69303}},
+{13144, 17, 63067, {1, 1, 5, 3, 9, 19, 59, 25, 49, 359, 263, 4045, 1527, 6703, 555, 26413, 42757}},
+{13145, 17, 63069, {1, 1, 5, 9, 23, 5, 7, 223, 247, 407, 1079, 1069, 3417, 14795, 5015, 2965, 99059}},
+{13146, 17, 63076, {1, 3, 7, 5, 27, 47, 9, 37, 47, 181, 819, 2049, 2643, 9231, 8173, 33495, 91321}},
+{13147, 17, 63083, {1, 3, 5, 11, 5, 27, 5, 237, 349, 653, 1443, 137, 7969, 5961, 24749, 37523, 88921}},
+{13148, 17, 63088, {1, 3, 7, 13, 11, 51, 49, 71, 339, 195, 1239, 3479, 2771, 15217, 23729, 7839, 32633}},
+{13149, 17, 63094, {1, 1, 5, 5, 5, 13, 103, 185, 13, 273, 1793, 761, 5327, 8659, 32599, 38181, 121115}},
+{13150, 17, 63097, {1, 3, 7, 15, 17, 55, 69, 151, 231, 421, 1679, 3657, 8001, 12599, 13761, 13517, 130199}},
+{13151, 17, 63100, {1, 1, 5, 3, 5, 15, 15, 61, 489, 219, 925, 2329, 3415, 10779, 31297, 63805, 13375}},
+{13152, 17, 63104, {1, 1, 7, 9, 7, 11, 87, 45, 39, 885, 87, 1877, 8135, 1247, 25685, 23631, 65579}},
+{13153, 17, 63114, {1, 3, 3, 7, 1, 17, 31, 75, 455, 535, 509, 2151, 1737, 7579, 12727, 25139, 32659}},
+{13154, 17, 63116, {1, 3, 5, 7, 15, 27, 111, 145, 99, 767, 167, 3391, 2155, 7895, 3405, 47451, 65185}},
+{13155, 17, 63122, {1, 1, 1, 3, 23, 31, 15, 53, 59, 787, 431, 2691, 71, 2843, 13469, 54029, 2233}},
+{13156, 17, 63128, {1, 1, 5, 1, 5, 39, 57, 31, 75, 507, 811, 2747, 317, 13545, 7395, 65161, 87987}},
+{13157, 17, 63149, {1, 3, 5, 5, 13, 17, 11, 89, 371, 337, 913, 2775, 27, 4923, 24013, 62955, 65185}},
+{13158, 17, 63150, {1, 3, 3, 7, 9, 27, 91, 187, 17, 443, 807, 853, 6243, 12351, 8123, 4203, 61021}},
+{13159, 17, 63157, {1, 1, 1, 5, 9, 33, 101, 211, 205, 701, 1289, 1253, 653, 8591, 13009, 48525, 77051}},
+{13160, 17, 63167, {1, 3, 5, 11, 5, 19, 1, 67, 259, 355, 15, 2169, 6785, 2019, 8675, 1019, 85903}},
+{13161, 17, 63187, {1, 3, 7, 5, 27, 31, 103, 163, 369, 685, 659, 2009, 5819, 10437, 17311, 35083, 122125}},
+{13162, 17, 63200, {1, 3, 5, 7, 19, 13, 93, 113, 377, 359, 1697, 4063, 4379, 9321, 7335, 25491, 85939}},
+{13163, 17, 63220, {1, 3, 3, 5, 7, 25, 41, 225, 355, 257, 743, 2067, 7627, 14317, 7385, 25187, 63103}},
+{13164, 17, 63223, {1, 1, 7, 7, 17, 43, 75, 1, 95, 547, 1937, 2263, 1709, 5067, 22651, 55733, 44619}},
+{13165, 17, 63229, {1, 1, 7, 3, 5, 27, 45, 23, 107, 547, 1733, 1169, 6709, 861, 4439, 55381, 96447}},
+{13166, 17, 63235, {1, 1, 7, 11, 25, 23, 127, 159, 489, 945, 843, 3715, 5215, 2131, 9681, 35515, 108109}},
+{13167, 17, 63247, {1, 1, 3, 7, 5, 1, 67, 59, 83, 745, 1337, 855, 6087, 14319, 13405, 36261, 49091}},
+{13168, 17, 63252, {1, 3, 1, 1, 13, 27, 41, 155, 463, 709, 1111, 2017, 4701, 8663, 29703, 45311, 113347}},
+{13169, 17, 63255, {1, 1, 7, 5, 1, 11, 83, 101, 283, 505, 893, 705, 2331, 5127, 21793, 28095, 59055}},
+{13170, 17, 63289, {1, 1, 5, 9, 25, 7, 97, 155, 71, 569, 1481, 897, 6177, 13367, 12163, 18171, 24785}},
+{13171, 17, 63298, {1, 3, 5, 11, 19, 25, 7, 15, 511, 369, 957, 1247, 6097, 11181, 17265, 24777, 87377}},
+{13172, 17, 63303, {1, 3, 1, 7, 11, 9, 39, 191, 9, 793, 867, 2779, 3447, 3805, 21025, 64719, 15669}},
+{13173, 17, 63327, {1, 1, 3, 1, 31, 43, 107, 103, 175, 131, 1525, 993, 635, 14383, 26835, 15929, 109977}},
+{13174, 17, 63328, {1, 1, 1, 3, 19, 17, 99, 249, 47, 467, 853, 2805, 3155, 1565, 17291, 18865, 11039}},
+{13175, 17, 63348, {1, 1, 5, 13, 25, 61, 91, 67, 361, 947, 1909, 3403, 945, 3481, 16703, 50227, 43963}},
+{13176, 17, 63355, {1, 3, 1, 3, 19, 27, 31, 219, 185, 579, 1539, 315, 4421, 9473, 30289, 48477, 61365}},
+{13177, 17, 63357, {1, 1, 3, 1, 23, 11, 101, 1, 133, 305, 1107, 1145, 1733, 13275, 221, 5071, 81987}},
+{13178, 17, 63368, {1, 1, 1, 13, 7, 61, 47, 5, 137, 979, 1183, 2049, 5263, 6515, 5585, 6093, 119689}},
+{13179, 17, 63391, {1, 3, 1, 5, 19, 47, 83, 115, 215, 901, 1685, 755, 2327, 13297, 6847, 40329, 19225}},
+{13180, 17, 63402, {1, 1, 3, 3, 3, 13, 31, 127, 199, 655, 55, 2183, 5031, 945, 6073, 54729, 108281}},
+{13181, 17, 63409, {1, 1, 1, 1, 11, 51, 37, 19, 73, 205, 1377, 1881, 3679, 4487, 14693, 41735, 27349}},
+{13182, 17, 63416, {1, 3, 7, 13, 1, 35, 37, 73, 45, 973, 209, 529, 5283, 9765, 26367, 12697, 8685}},
+{13183, 17, 63419, {1, 3, 3, 9, 3, 45, 115, 35, 475, 663, 487, 3613, 4151, 15623, 3057, 31519, 87545}},
+{13184, 17, 63430, {1, 3, 7, 5, 23, 13, 25, 255, 355, 433, 1671, 667, 7463, 14189, 14107, 1531, 11695}},
+{13185, 17, 63442, {1, 1, 7, 3, 15, 25, 37, 127, 265, 493, 1763, 2721, 4335, 13753, 5947, 18375, 29911}},
+{13186, 17, 63457, {1, 1, 3, 15, 1, 55, 25, 69, 335, 157, 1923, 1757, 5689, 6731, 723, 6471, 57415}},
+{13187, 17, 63458, {1, 3, 3, 3, 1, 15, 127, 227, 401, 395, 503, 3783, 1737, 8785, 16287, 34949, 91683}},
+{13188, 17, 63482, {1, 3, 5, 15, 23, 29, 55, 119, 115, 855, 657, 3729, 5309, 14773, 5647, 25953, 67303}},
+{13189, 17, 63487, {1, 3, 5, 13, 23, 25, 1, 187, 67, 389, 359, 619, 2523, 11203, 11049, 60345, 53931}},
+{13190, 17, 63488, {1, 3, 1, 7, 7, 45, 99, 123, 495, 797, 939, 3387, 7563, 16289, 8309, 14917, 99867}},
+{13191, 17, 63500, {1, 3, 5, 11, 29, 49, 89, 205, 447, 541, 1279, 1153, 7277, 5393, 8743, 41057, 100119}},
+{13192, 17, 63511, {1, 1, 1, 9, 1, 7, 43, 165, 259, 311, 993, 1381, 3363, 577, 4023, 443, 101785}},
+{13193, 17, 63517, {1, 1, 7, 9, 25, 55, 93, 63, 423, 787, 549, 1039, 383, 15855, 6013, 51399, 60007}},
+{13194, 17, 63528, {1, 3, 3, 1, 5, 17, 103, 91, 309, 85, 1319, 3869, 559, 3993, 18111, 17753, 66681}},
+{13195, 17, 63531, {1, 3, 7, 9, 1, 11, 87, 151, 311, 597, 811, 3955, 275, 6555, 17005, 26763, 31227}},
+{13196, 17, 63559, {1, 1, 3, 11, 19, 51, 41, 101, 183, 1003, 1635, 2061, 3305, 12925, 7223, 4859, 24433}},
+{13197, 17, 63566, {1, 3, 7, 11, 7, 43, 79, 53, 43, 429, 947, 2533, 7005, 15147, 13435, 33997, 21201}},
+{13198, 17, 63578, {1, 1, 3, 5, 15, 17, 61, 41, 383, 465, 1439, 3503, 3981, 14469, 5075, 25953, 70461}},
+{13199, 17, 63580, {1, 1, 1, 13, 21, 53, 25, 59, 59, 195, 665, 3367, 2777, 9179, 24207, 56729, 94241}},
+{13200, 17, 63584, {1, 3, 7, 15, 27, 13, 41, 147, 415, 351, 961, 3811, 1605, 14231, 31789, 41189, 50265}},
+{13201, 17, 63587, {1, 3, 3, 7, 31, 39, 85, 219, 323, 657, 423, 1579, 3623, 7663, 14631, 47169, 88795}},
+{13202, 17, 63594, {1, 3, 1, 3, 1, 3, 125, 65, 259, 3, 1897, 2203, 347, 4101, 23841, 20217, 117407}},
+{13203, 17, 63607, {1, 1, 3, 7, 29, 1, 75, 255, 413, 237, 1531, 2103, 6847, 10395, 9817, 9383, 60679}},
+{13204, 17, 63611, {1, 3, 5, 3, 7, 63, 17, 83, 375, 835, 1707, 3227, 327, 2205, 25025, 47471, 39967}},
+{13205, 17, 63630, {1, 3, 7, 7, 9, 51, 23, 189, 157, 351, 755, 2695, 3923, 3481, 12159, 1041, 94563}},
+{13206, 17, 63632, {1, 1, 3, 11, 25, 27, 39, 19, 221, 795, 523, 695, 3257, 8045, 2643, 43239, 13291}},
+{13207, 17, 63641, {1, 3, 3, 5, 29, 1, 33, 117, 477, 147, 1117, 1943, 7967, 15999, 10673, 13349, 89471}},
+{13208, 17, 63647, {1, 1, 3, 9, 17, 51, 55, 115, 147, 687, 1751, 3685, 3099, 15369, 371, 55673, 67951}},
+{13209, 17, 63651, {1, 1, 7, 1, 5, 25, 67, 31, 103, 439, 1581, 705, 3855, 15985, 7151, 56511, 23697}},
+{13210, 17, 63666, {1, 3, 5, 3, 21, 7, 11, 123, 121, 1009, 277, 623, 7913, 7525, 4759, 19245, 16735}},
+{13211, 17, 63668, {1, 1, 5, 11, 7, 57, 103, 147, 199, 209, 233, 3665, 4215, 13511, 16393, 37873, 120857}},
+{13212, 17, 63695, {1, 1, 7, 9, 27, 45, 29, 97, 279, 379, 1683, 1965, 1183, 11389, 20445, 38435, 56893}},
+{13213, 17, 63697, {1, 3, 5, 5, 27, 23, 89, 169, 329, 659, 393, 903, 6217, 6459, 27327, 2843, 44889}},
+{13214, 17, 63709, {1, 1, 1, 15, 3, 53, 109, 83, 195, 5, 1865, 729, 3627, 13307, 20761, 50375, 60379}},
+{13215, 17, 63723, {1, 1, 1, 13, 25, 57, 17, 185, 359, 797, 469, 2637, 973, 2731, 25299, 15169, 90187}},
+{13216, 17, 63737, {1, 3, 5, 1, 19, 39, 87, 161, 117, 565, 1737, 3995, 6487, 5067, 18531, 38803, 45453}},
+{13217, 17, 63746, {1, 1, 1, 5, 19, 3, 93, 85, 479, 369, 469, 1407, 475, 7775, 12273, 34417, 65611}},
+{13218, 17, 63752, {1, 1, 3, 15, 31, 11, 105, 19, 281, 711, 713, 3423, 797, 11215, 31409, 44891, 110413}},
+{13219, 17, 63755, {1, 1, 3, 11, 13, 17, 59, 111, 59, 431, 1517, 2159, 1697, 12309, 16293, 2097, 107273}},
+{13220, 17, 63775, {1, 3, 5, 15, 25, 19, 97, 107, 97, 563, 247, 3691, 2775, 10631, 15113, 25721, 12995}},
+{13221, 17, 63781, {1, 1, 5, 3, 31, 25, 47, 201, 231, 123, 1923, 2287, 1711, 12271, 1573, 6605, 72991}},
+{13222, 17, 63794, {1, 1, 5, 5, 27, 17, 109, 125, 423, 1, 819, 3041, 685, 8791, 19697, 13107, 67681}},
+{13223, 17, 63796, {1, 1, 5, 3, 5, 63, 115, 95, 117, 715, 1523, 1231, 8171, 1615, 9819, 14361, 87075}},
+{13224, 17, 63808, {1, 1, 7, 7, 7, 35, 35, 175, 349, 853, 1665, 3101, 6051, 10737, 933, 40591, 9419}},
+{13225, 17, 63817, {1, 1, 1, 3, 23, 49, 65, 23, 103, 837, 403, 3799, 6515, 15363, 28079, 36381, 59523}},
+{13226, 17, 63820, {1, 3, 1, 15, 15, 25, 119, 181, 229, 685, 1047, 2397, 4855, 15393, 2371, 42441, 30151}},
+{13227, 17, 63826, {1, 3, 7, 11, 15, 5, 13, 93, 219, 203, 475, 523, 5827, 6579, 26759, 29795, 108463}},
+{13228, 17, 63838, {1, 1, 7, 13, 25, 53, 75, 195, 443, 1003, 501, 2543, 5453, 3119, 19225, 59631, 16413}},
+{13229, 17, 63848, {1, 1, 7, 13, 13, 25, 93, 211, 191, 1005, 1567, 3057, 3001, 1125, 6237, 35725, 108257}},
+{13230, 17, 63861, {1, 1, 3, 7, 21, 11, 57, 205, 487, 263, 1801, 3235, 1819, 10875, 6063, 26211, 54699}},
+{13231, 17, 63862, {1, 3, 3, 7, 11, 59, 89, 217, 15, 991, 1343, 1247, 277, 13377, 18499, 64987, 26053}},
+{13232, 17, 63866, {1, 3, 3, 1, 15, 51, 111, 69, 137, 817, 1207, 1729, 3877, 9873, 18449, 50749, 57457}},
+{13233, 17, 63878, {1, 3, 3, 5, 3, 39, 97, 147, 327, 257, 1547, 769, 7077, 5221, 13679, 44237, 70053}},
+{13234, 17, 63889, {1, 1, 5, 11, 19, 15, 79, 187, 335, 645, 1235, 4041, 4831, 10847, 28135, 48353, 64921}},
+{13235, 17, 63892, {1, 1, 7, 9, 3, 43, 41, 149, 71, 205, 1513, 2801, 6785, 3187, 25401, 55367, 114491}},
+{13236, 17, 63901, {1, 1, 7, 1, 25, 11, 37, 205, 365, 435, 147, 1303, 587, 14563, 32461, 28983, 86157}},
+{13237, 17, 63915, {1, 1, 7, 1, 31, 11, 51, 37, 401, 343, 1677, 991, 501, 11993, 14781, 37055, 30161}},
+{13238, 17, 63917, {1, 3, 5, 9, 9, 21, 95, 45, 447, 957, 943, 3997, 4033, 8371, 25007, 52827, 50207}},
+{13239, 17, 63926, {1, 1, 7, 1, 9, 45, 3, 255, 297, 341, 215, 3631, 7049, 7625, 4145, 50109, 48615}},
+{13240, 17, 63932, {1, 3, 3, 9, 27, 49, 41, 143, 291, 343, 719, 311, 3819, 7699, 17631, 64785, 49239}},
+{13241, 17, 63937, {1, 1, 7, 3, 27, 35, 61, 183, 153, 781, 979, 1465, 3315, 14893, 29847, 18461, 74949}},
+{13242, 17, 63938, {1, 3, 5, 15, 19, 61, 39, 219, 279, 909, 1295, 1681, 8021, 957, 7675, 14001, 77669}},
+{13243, 17, 63943, {1, 3, 1, 5, 15, 59, 127, 85, 229, 649, 503, 3267, 2465, 5637, 2729, 24831, 44791}},
+{13244, 17, 63944, {1, 3, 7, 11, 23, 55, 61, 191, 345, 255, 105, 1361, 3913, 7655, 8865, 1825, 80619}},
+{13245, 17, 63950, {1, 3, 3, 13, 29, 15, 53, 19, 1, 651, 917, 2043, 2333, 13695, 28225, 16457, 11287}},
+{13246, 17, 63952, {1, 1, 3, 13, 15, 53, 41, 211, 13, 287, 383, 3923, 665, 10343, 4803, 22199, 90521}},
+{13247, 17, 63955, {1, 3, 7, 11, 23, 27, 127, 241, 11, 451, 495, 2779, 319, 13119, 5575, 43043, 11659}},
+{13248, 17, 63957, {1, 1, 1, 7, 17, 53, 55, 39, 233, 273, 1873, 843, 7885, 329, 6809, 33119, 116017}},
+{13249, 17, 63961, {1, 1, 1, 7, 21, 41, 23, 113, 283, 265, 1535, 2371, 3975, 6293, 22497, 65349, 48653}},
+{13250, 17, 63962, {1, 3, 7, 9, 25, 21, 61, 135, 245, 777, 679, 2603, 565, 3251, 32469, 12707, 40297}},
+{13251, 17, 63978, {1, 1, 1, 5, 31, 49, 35, 215, 445, 669, 779, 2231, 5399, 5853, 17941, 33973, 126141}},
+{13252, 17, 63983, {1, 3, 5, 5, 3, 31, 45, 235, 51, 65, 295, 3755, 8101, 821, 28331, 38837, 55235}},
+{13253, 17, 63988, {1, 1, 5, 15, 23, 15, 37, 197, 59, 455, 1875, 1745, 7565, 8039, 15901, 63129, 36095}},
+{13254, 17, 64008, {1, 1, 5, 11, 7, 1, 77, 235, 309, 245, 1539, 1421, 3401, 1477, 12655, 19851, 86147}},
+{13255, 17, 64013, {1, 1, 3, 9, 27, 9, 113, 127, 167, 213, 161, 4065, 1275, 10699, 26111, 26213, 129091}},
+{13256, 17, 64019, {1, 3, 5, 9, 9, 17, 109, 205, 23, 145, 1261, 51, 5855, 7411, 20551, 5801, 47841}},
+{13257, 17, 64026, {1, 1, 3, 3, 15, 1, 1, 39, 431, 601, 177, 525, 6951, 6271, 27031, 37157, 73979}},
+{13258, 17, 64028, {1, 3, 1, 3, 19, 61, 11, 131, 31, 223, 959, 3531, 2433, 15675, 29201, 49277, 43977}},
+{13259, 17, 64032, {1, 1, 5, 9, 5, 27, 57, 3, 503, 755, 1261, 3659, 6685, 10041, 24739, 12201, 19753}},
+{13260, 17, 64042, {1, 1, 7, 3, 31, 27, 7, 191, 7, 415, 1665, 1413, 7493, 2645, 23577, 46331, 9481}},
+{13261, 17, 64044, {1, 1, 5, 1, 29, 59, 99, 231, 33, 613, 1347, 2671, 1767, 15685, 26583, 44699, 73511}},
+{13262, 17, 64055, {1, 1, 3, 3, 9, 47, 93, 87, 45, 549, 219, 2141, 233, 10239, 30325, 14985, 70325}},
+{13263, 17, 64070, {1, 1, 3, 3, 21, 39, 81, 179, 319, 853, 93, 2869, 59, 6675, 22391, 16089, 33949}},
+{13264, 17, 64079, {1, 1, 3, 7, 31, 19, 73, 249, 175, 57, 1717, 3557, 2307, 4595, 22045, 33291, 123003}},
+{13265, 17, 64084, {1, 1, 1, 3, 7, 23, 81, 229, 387, 1001, 1371, 17, 667, 3043, 30507, 44613, 32239}},
+{13266, 17, 64087, {1, 1, 7, 15, 15, 59, 83, 99, 101, 863, 333, 845, 7547, 13345, 7599, 51, 10963}},
+{13267, 17, 64093, {1, 1, 1, 3, 15, 55, 73, 37, 429, 711, 1315, 2911, 5109, 953, 14721, 25551, 33527}},
+{13268, 17, 64100, {1, 1, 5, 9, 11, 57, 75, 107, 449, 293, 1267, 2633, 5291, 9939, 12365, 1975, 75705}},
+{13269, 17, 64104, {1, 3, 3, 7, 19, 51, 111, 233, 369, 873, 1419, 425, 6587, 11371, 29613, 28041, 77405}},
+{13270, 17, 64109, {1, 3, 1, 15, 11, 1, 65, 185, 301, 25, 75, 1353, 6879, 11519, 24093, 65223, 130659}},
+{13271, 17, 64140, {1, 1, 3, 3, 17, 17, 33, 177, 467, 841, 949, 1119, 7869, 5835, 22175, 20439, 98923}},
+{13272, 17, 64148, {1, 3, 1, 9, 1, 19, 1, 9, 487, 425, 1095, 1995, 693, 12661, 27717, 56167, 34829}},
+{13273, 17, 64151, {1, 1, 7, 7, 27, 57, 85, 159, 109, 801, 477, 3953, 3195, 11079, 26885, 59833, 4971}},
+{13274, 17, 64152, {1, 1, 1, 15, 25, 9, 89, 231, 499, 623, 1385, 3753, 4781, 15263, 12721, 17511, 67327}},
+{13275, 17, 64171, {1, 1, 3, 7, 9, 11, 103, 65, 319, 681, 1423, 2355, 6243, 399, 8483, 23697, 107995}},
+{13276, 17, 64179, {1, 1, 1, 1, 5, 7, 63, 117, 151, 905, 163, 3813, 6931, 13161, 15131, 63067, 15649}},
+{13277, 17, 64186, {1, 3, 3, 3, 13, 57, 69, 199, 283, 153, 617, 123, 3125, 3057, 8121, 14483, 28085}},
+{13278, 17, 64203, {1, 3, 7, 15, 25, 45, 25, 179, 91, 457, 681, 537, 243, 4369, 11395, 17565, 47875}},
+{13279, 17, 64206, {1, 3, 1, 13, 29, 51, 101, 23, 143, 715, 1725, 791, 6001, 4283, 10689, 49237, 5231}},
+{13280, 17, 64213, {1, 3, 3, 5, 27, 41, 39, 17, 501, 587, 1067, 1859, 9, 13449, 31257, 17675, 99769}},
+{13281, 17, 64214, {1, 1, 1, 3, 15, 57, 119, 195, 15, 779, 761, 733, 3505, 4815, 23167, 411, 52303}},
+{13282, 17, 64220, {1, 3, 1, 13, 9, 31, 5, 141, 19, 487, 739, 577, 4383, 1951, 24293, 45503, 111923}},
+{13283, 17, 64233, {1, 3, 1, 11, 25, 37, 107, 245, 89, 107, 1969, 1569, 7475, 11795, 6123, 45311, 52251}},
+{13284, 17, 64239, {1, 1, 7, 11, 15, 9, 67, 141, 199, 91, 819, 3721, 6251, 6107, 9393, 14941, 98545}},
+{13285, 17, 64248, {1, 3, 3, 11, 23, 9, 31, 211, 339, 665, 1507, 2255, 3589, 11495, 28393, 2017, 106735}},
+{13286, 17, 64251, {1, 3, 5, 11, 27, 13, 105, 217, 173, 337, 1573, 837, 3771, 8645, 28749, 27501, 45045}},
+{13287, 17, 64259, {1, 1, 5, 1, 11, 43, 99, 217, 131, 545, 1323, 3089, 5689, 785, 9043, 29961, 17855}},
+{13288, 17, 64268, {1, 1, 3, 9, 31, 41, 61, 239, 271, 123, 1583, 397, 4243, 12197, 9847, 12341, 130533}},
+{13289, 17, 64273, {1, 3, 5, 3, 27, 11, 33, 31, 77, 403, 823, 2791, 3475, 4201, 15967, 39149, 107137}},
+{13290, 17, 64279, {1, 3, 1, 11, 9, 5, 103, 145, 85, 341, 1615, 729, 7209, 10289, 20807, 54167, 15613}},
+{13291, 17, 64283, {1, 3, 7, 1, 29, 33, 91, 219, 171, 367, 907, 3645, 1059, 9031, 247, 13231, 14323}},
+{13292, 17, 64292, {1, 1, 1, 7, 19, 15, 65, 61, 221, 941, 1005, 1447, 3513, 8917, 17399, 52471, 64245}},
+{13293, 17, 64296, {1, 1, 5, 7, 5, 35, 15, 253, 325, 313, 2015, 3239, 1633, 9745, 11617, 10575, 35877}},
+{13294, 17, 64301, {1, 3, 5, 3, 13, 1, 115, 207, 227, 637, 1119, 781, 2897, 1573, 16499, 43167, 20631}},
+{13295, 17, 64302, {1, 3, 5, 9, 17, 47, 117, 7, 303, 719, 975, 1167, 2463, 5255, 28237, 33495, 57133}},
+{13296, 17, 64324, {1, 3, 5, 11, 5, 43, 123, 63, 19, 97, 1423, 695, 5985, 5923, 5755, 22721, 5411}},
+{13297, 17, 64331, {1, 3, 1, 9, 9, 25, 87, 197, 325, 827, 1679, 1561, 101, 3951, 17453, 33537, 121431}},
+{13298, 17, 64346, {1, 1, 7, 5, 13, 33, 3, 191, 171, 37, 619, 1917, 7525, 14103, 25807, 25455, 57455}},
+{13299, 17, 64364, {1, 3, 3, 1, 9, 35, 93, 159, 455, 115, 479, 665, 477, 4483, 29751, 45047, 41251}},
+{13300, 17, 64382, {1, 3, 1, 3, 11, 47, 41, 199, 511, 475, 151, 1163, 239, 6731, 4461, 39845, 99555}},
+{13301, 17, 64386, {1, 1, 5, 7, 9, 5, 49, 221, 503, 637, 1323, 3303, 4137, 6675, 17709, 49233, 38325}},
+{13302, 17, 64400, {1, 1, 5, 15, 1, 43, 55, 67, 291, 393, 237, 3555, 4171, 909, 8655, 46309, 61799}},
+{13303, 17, 64409, {1, 3, 5, 3, 3, 37, 125, 249, 509, 611, 983, 4093, 1633, 10063, 10811, 60033, 40999}},
+{13304, 17, 64419, {1, 3, 5, 11, 1, 37, 75, 255, 279, 545, 1999, 833, 2789, 14601, 16707, 64703, 53545}},
+{13305, 17, 64433, {1, 1, 5, 7, 3, 15, 59, 11, 17, 711, 721, 765, 3747, 13549, 28641, 47437, 42261}},
+{13306, 17, 64454, {1, 3, 7, 1, 3, 45, 65, 45, 279, 929, 933, 2215, 7095, 14593, 6047, 40747, 109789}},
+{13307, 17, 64458, {1, 3, 7, 15, 15, 55, 89, 155, 345, 515, 1005, 2921, 1761, 1095, 28463, 20971, 62451}},
+{13308, 17, 64482, {1, 3, 3, 1, 1, 41, 35, 149, 481, 171, 305, 1411, 237, 4515, 32375, 22645, 741}},
+{13309, 17, 64494, {1, 1, 1, 15, 17, 1, 123, 235, 221, 495, 1693, 3109, 6453, 8827, 23775, 9303, 30237}},
+{13310, 17, 64496, {1, 3, 3, 5, 7, 63, 37, 13, 457, 159, 1683, 2207, 1731, 3341, 7415, 21073, 119417}},
+{13311, 17, 64505, {1, 1, 7, 15, 21, 27, 5, 67, 267, 919, 203, 1129, 4029, 3407, 16767, 35485, 66903}},
+{13312, 17, 64514, {1, 1, 1, 5, 15, 29, 99, 5, 219, 677, 443, 3799, 2461, 747, 20885, 32661, 44079}},
+{13313, 17, 64519, {1, 1, 1, 1, 3, 55, 53, 151, 195, 587, 1155, 2439, 3817, 8735, 30849, 54107, 14113}},
+{13314, 17, 64525, {1, 1, 1, 9, 29, 15, 89, 175, 373, 925, 301, 3749, 5439, 2653, 22819, 41201, 77043}},
+{13315, 17, 64528, {1, 1, 1, 1, 25, 49, 29, 129, 331, 539, 1247, 773, 7891, 5905, 19571, 17919, 6815}},
+{13316, 17, 64534, {1, 1, 3, 15, 5, 63, 123, 133, 141, 383, 1893, 573, 629, 3939, 9455, 50433, 111415}},
+{13317, 17, 64561, {1, 1, 7, 9, 15, 33, 119, 159, 17, 511, 1841, 427, 3911, 8609, 4215, 9799, 84397}},
+{13318, 17, 64571, {1, 1, 7, 3, 9, 25, 63, 247, 235, 635, 915, 3423, 5421, 7021, 9203, 18121, 3683}},
+{13319, 17, 64579, {1, 3, 1, 1, 25, 11, 105, 1, 491, 137, 1923, 103, 3371, 3543, 5173, 36777, 23417}},
+{13320, 17, 64591, {1, 3, 3, 13, 19, 37, 93, 191, 101, 193, 351, 839, 7147, 5477, 29225, 45307, 1455}},
+{13321, 17, 64606, {1, 3, 1, 5, 11, 17, 95, 239, 105, 407, 395, 919, 3317, 14825, 23447, 4897, 128363}},
+{13322, 17, 64616, {1, 1, 1, 11, 27, 47, 83, 137, 163, 673, 1291, 3041, 4559, 7217, 23613, 19477, 93805}},
+{13323, 17, 64619, {1, 1, 1, 15, 25, 51, 37, 9, 23, 757, 1921, 2649, 5677, 11421, 10231, 1775, 124709}},
+{13324, 17, 64640, {1, 3, 1, 13, 31, 37, 37, 163, 59, 975, 1203, 1425, 1255, 3259, 16681, 38101, 118165}},
+{13325, 17, 64645, {1, 1, 3, 11, 17, 17, 31, 23, 169, 305, 3, 1631, 6853, 7019, 14539, 57663, 70377}},
+{13326, 17, 64649, {1, 1, 7, 3, 15, 61, 113, 31, 497, 935, 473, 819, 1223, 13907, 5075, 45177, 20255}},
+{13327, 17, 64652, {1, 3, 7, 13, 9, 41, 123, 121, 497, 877, 915, 3323, 4815, 4175, 25979, 38751, 107099}},
+{13328, 17, 64670, {1, 1, 3, 7, 13, 33, 31, 167, 331, 595, 517, 1237, 1947, 1905, 28155, 52431, 93065}},
+{13329, 17, 64673, {1, 3, 1, 1, 11, 51, 7, 151, 323, 211, 523, 2929, 233, 3633, 2785, 6043, 100101}},
+{13330, 17, 64674, {1, 1, 7, 13, 29, 3, 125, 247, 121, 567, 857, 3225, 7461, 15413, 773, 54939, 67443}},
+{13331, 17, 64683, {1, 1, 1, 15, 19, 29, 101, 179, 369, 115, 1777, 3223, 1499, 12487, 41, 50607, 111137}},
+{13332, 17, 64697, {1, 1, 3, 1, 9, 59, 21, 25, 173, 357, 1143, 1353, 3907, 10743, 30325, 39211, 116671}},
+{13333, 17, 64703, {1, 1, 7, 15, 9, 63, 67, 229, 7, 399, 2037, 3531, 6393, 4273, 9365, 52009, 118093}},
+{13334, 17, 64711, {1, 1, 7, 1, 31, 21, 5, 251, 433, 1, 481, 4041, 6179, 825, 8671, 20597, 103257}},
+{13335, 17, 64723, {1, 1, 7, 1, 15, 41, 69, 93, 47, 17, 1901, 2671, 4739, 1883, 30239, 50763, 108295}},
+{13336, 17, 64736, {1, 3, 7, 15, 29, 19, 63, 213, 475, 133, 43, 955, 2001, 555, 10479, 1333, 52807}},
+{13337, 17, 64739, {1, 3, 3, 15, 27, 13, 91, 109, 71, 333, 1971, 3355, 2175, 11457, 31101, 30217, 68263}},
+{13338, 17, 64741, {1, 1, 5, 1, 21, 33, 51, 169, 365, 475, 1015, 985, 7217, 15453, 7727, 49843, 57733}},
+{13339, 17, 64748, {1, 1, 7, 1, 11, 37, 67, 135, 429, 403, 1663, 2037, 7849, 3757, 6373, 38703, 46393}},
+{13340, 17, 64759, {1, 1, 1, 3, 15, 3, 29, 101, 327, 643, 47, 1805, 6873, 1659, 31097, 34847, 46843}},
+{13341, 17, 64768, {1, 3, 1, 15, 9, 45, 7, 189, 175, 955, 45, 3545, 3595, 7443, 2913, 54501, 63279}},
+{13342, 17, 64771, {1, 3, 7, 11, 1, 39, 59, 179, 209, 121, 445, 4077, 4851, 15161, 29133, 13543, 106247}},
+{13343, 17, 64778, {1, 3, 7, 7, 5, 53, 73, 107, 409, 639, 1731, 1921, 999, 14445, 17629, 3667, 74819}},
+{13344, 17, 64792, {1, 3, 3, 9, 23, 41, 117, 195, 497, 425, 627, 1599, 7715, 1401, 7217, 61113, 67135}},
+{13345, 17, 64821, {1, 1, 5, 13, 9, 33, 97, 115, 233, 833, 1041, 1755, 5317, 12703, 25709, 62293, 2569}},
+{13346, 17, 64831, {1, 1, 1, 11, 1, 7, 27, 151, 325, 905, 1279, 4093, 7495, 9803, 17339, 7977, 24009}},
+{13347, 17, 64839, {1, 3, 1, 11, 25, 59, 89, 175, 67, 139, 1507, 411, 7863, 9585, 14869, 46655, 126021}},
+{13348, 17, 64848, {1, 3, 3, 15, 29, 5, 111, 251, 69, 177, 519, 901, 4331, 5341, 22031, 3851, 114369}},
+{13349, 17, 64860, {1, 3, 5, 3, 19, 9, 83, 69, 411, 673, 1549, 3429, 3647, 12601, 17177, 16161, 114561}},
+{13350, 17, 64867, {1, 1, 5, 5, 21, 15, 65, 179, 405, 571, 1245, 3693, 7471, 12109, 20177, 28783, 124339}},
+{13351, 17, 64870, {1, 1, 5, 5, 9, 61, 69, 99, 9, 829, 1823, 3803, 1181, 3073, 10069, 28689, 21347}},
+{13352, 17, 64874, {1, 1, 5, 1, 3, 11, 25, 99, 241, 957, 1137, 7, 3809, 7073, 21217, 49447, 41425}},
+{13353, 17, 64879, {1, 3, 1, 9, 15, 59, 13, 29, 467, 893, 1667, 31, 3269, 12599, 28673, 17101, 81591}},
+{13354, 17, 64887, {1, 3, 7, 3, 15, 55, 79, 177, 1, 891, 217, 2725, 6171, 7779, 16173, 1003, 37093}},
+{13355, 17, 64894, {1, 3, 7, 11, 15, 61, 13, 181, 421, 83, 905, 1089, 4597, 3291, 23243, 53123, 21315}},
+{13356, 17, 64897, {1, 1, 3, 3, 21, 63, 113, 149, 203, 379, 583, 1955, 8087, 9155, 23019, 17757, 1537}},
+{13357, 17, 64898, {1, 3, 5, 9, 27, 41, 61, 207, 213, 253, 693, 273, 1835, 14135, 11519, 40819, 50999}},
+{13358, 17, 64921, {1, 3, 5, 3, 1, 51, 71, 237, 355, 327, 1903, 133, 6075, 4685, 29689, 48723, 67791}},
+{13359, 17, 64933, {1, 3, 5, 9, 21, 13, 101, 23, 95, 369, 1657, 989, 4081, 1373, 29005, 7247, 53923}},
+{13360, 17, 64940, {1, 1, 7, 13, 15, 3, 71, 189, 345, 771, 251, 937, 1041, 3017, 27279, 1635, 32581}},
+{13361, 17, 64957, {1, 1, 5, 7, 23, 63, 99, 43, 237, 189, 1549, 25, 63, 14089, 14387, 51423, 57193}},
+{13362, 17, 64969, {1, 1, 7, 15, 13, 55, 89, 87, 95, 241, 827, 501, 2341, 14357, 831, 27101, 98285}},
+{13363, 17, 64972, {1, 1, 1, 9, 29, 29, 125, 81, 73, 123, 329, 2617, 1259, 4415, 30007, 19467, 117847}},
+{13364, 17, 64978, {1, 3, 1, 11, 15, 63, 85, 121, 409, 885, 1197, 423, 2673, 12107, 1127, 14119, 90541}},
+{13365, 17, 64984, {1, 3, 1, 3, 1, 35, 117, 149, 213, 925, 923, 1013, 3547, 6877, 3467, 47893, 38645}},
+{13366, 17, 64993, {1, 1, 3, 15, 3, 21, 87, 199, 197, 851, 1711, 3449, 1771, 1727, 11651, 51903, 99835}},
+{13367, 17, 64999, {1, 3, 3, 1, 5, 27, 57, 243, 465, 173, 697, 4011, 6177, 3019, 31317, 24699, 53151}},
+{13368, 17, 65000, {1, 3, 5, 7, 7, 51, 61, 177, 489, 381, 493, 1975, 3143, 8003, 7735, 46363, 110705}},
+{13369, 17, 65006, {1, 1, 7, 5, 27, 45, 69, 33, 229, 725, 2033, 3655, 3027, 11795, 2941, 7921, 117605}},
+{13370, 17, 65011, {1, 3, 1, 7, 3, 37, 91, 255, 13, 651, 49, 309, 7425, 11641, 3661, 3929, 94199}},
+{13371, 17, 65014, {1, 3, 7, 5, 7, 47, 121, 203, 297, 941, 1585, 3659, 265, 159, 30729, 31825, 343}},
+{13372, 17, 65036, {1, 3, 5, 9, 3, 25, 95, 215, 125, 105, 37, 943, 4095, 8169, 26763, 20975, 122307}},
+{13373, 17, 65044, {1, 1, 3, 15, 9, 13, 81, 25, 51, 15, 599, 835, 6723, 9487, 25219, 60401, 48749}},
+{13374, 17, 65063, {1, 3, 3, 15, 15, 47, 41, 219, 77, 43, 1705, 2363, 7005, 7137, 17687, 665, 116097}},
+{13375, 17, 65067, {1, 3, 5, 1, 17, 33, 71, 3, 253, 355, 117, 1995, 3339, 11789, 13563, 58889, 18553}},
+{13376, 17, 65075, {1, 3, 5, 1, 21, 33, 89, 177, 9, 951, 1593, 1419, 3295, 9617, 31661, 7841, 119939}},
+{13377, 17, 65077, {1, 3, 3, 1, 31, 35, 25, 9, 379, 271, 923, 2387, 3351, 5869, 4501, 6855, 28273}},
+{13378, 17, 65082, {1, 1, 5, 9, 11, 15, 127, 79, 405, 579, 395, 2469, 5847, 7589, 17577, 61717, 6493}},
+{13379, 17, 65095, {1, 3, 7, 13, 29, 13, 99, 209, 79, 469, 5, 2231, 89, 1557, 5123, 47169, 46529}},
+{13380, 17, 65101, {1, 3, 7, 9, 13, 35, 119, 53, 7, 351, 601, 901, 5407, 13673, 6929, 38311, 2659}},
+{13381, 17, 65104, {1, 3, 7, 9, 13, 23, 61, 255, 113, 331, 367, 2979, 2741, 6971, 26447, 6861, 116267}},
+{13382, 17, 65109, {1, 1, 3, 3, 25, 57, 93, 5, 387, 87, 1765, 1277, 8175, 11185, 4377, 9779, 95569}},
+{13383, 17, 65110, {1, 1, 7, 11, 29, 43, 31, 155, 111, 409, 733, 1919, 2681, 8435, 5877, 35439, 15435}},
+{13384, 17, 65116, {1, 1, 1, 7, 19, 33, 109, 125, 51, 733, 997, 3467, 5081, 8371, 263, 31461, 46117}},
+{13385, 17, 65126, {1, 3, 3, 7, 27, 61, 57, 75, 317, 247, 1535, 3757, 4617, 15627, 11191, 3581, 64475}},
+{13386, 17, 65129, {1, 3, 3, 1, 31, 7, 95, 151, 159, 475, 559, 379, 361, 5953, 5551, 20313, 64015}},
+{13387, 17, 65138, {1, 1, 5, 1, 11, 31, 71, 77, 493, 697, 345, 1809, 611, 14319, 6591, 23657, 44071}},
+{13388, 17, 65160, {1, 1, 1, 13, 5, 1, 9, 233, 229, 397, 1201, 1817, 7409, 11521, 3753, 35611, 123037}},
+{13389, 17, 65171, {1, 3, 7, 15, 9, 15, 85, 163, 99, 867, 265, 1021, 129, 11059, 123, 27185, 68435}},
+{13390, 17, 65173, {1, 3, 1, 11, 25, 43, 105, 165, 291, 977, 463, 2699, 5361, 9951, 29735, 63501, 86235}},
+{13391, 17, 65180, {1, 3, 7, 13, 9, 33, 39, 145, 441, 233, 373, 193, 1451, 7975, 2871, 64431, 43339}},
+{13392, 17, 65189, {1, 1, 7, 13, 15, 25, 45, 27, 319, 719, 1801, 447, 3027, 769, 271, 37227, 26447}},
+{13393, 17, 65193, {1, 1, 5, 1, 29, 1, 59, 59, 121, 251, 387, 55, 5957, 10527, 24227, 38841, 29115}},
+{13394, 17, 65208, {1, 3, 1, 5, 31, 25, 67, 191, 137, 849, 631, 953, 3103, 9737, 28993, 49413, 60709}},
+{13395, 17, 65214, {1, 3, 3, 15, 7, 5, 37, 179, 357, 961, 1649, 441, 5287, 4161, 24013, 39661, 76233}},
+{13396, 17, 65216, {1, 1, 5, 1, 9, 1, 47, 209, 219, 1021, 969, 2343, 5675, 7137, 14247, 50305, 72613}},
+{13397, 17, 65225, {1, 1, 3, 1, 9, 43, 43, 47, 35, 97, 617, 1033, 2387, 14155, 17049, 53333, 108619}},
+{13398, 17, 65236, {1, 3, 1, 3, 1, 45, 11, 171, 349, 65, 909, 1801, 1075, 10905, 7395, 19997, 128205}},
+{13399, 17, 65239, {1, 1, 7, 11, 19, 39, 117, 175, 459, 791, 1383, 3473, 6937, 8447, 10077, 13353, 122063}},
+{13400, 17, 65273, {1, 3, 3, 9, 3, 27, 115, 29, 135, 305, 1023, 2517, 1981, 4969, 18149, 35565, 120785}},
+{13401, 17, 65274, {1, 3, 3, 11, 15, 23, 27, 115, 411, 805, 841, 2205, 5997, 5141, 10679, 25235, 81989}},
+{13402, 17, 65281, {1, 1, 3, 9, 11, 63, 27, 185, 337, 891, 1447, 1397, 8009, 4453, 23077, 37599, 93389}},
+{13403, 17, 65294, {1, 1, 5, 13, 27, 11, 77, 11, 447, 81, 1603, 2317, 6499, 6631, 27305, 51049, 40967}},
+{13404, 17, 65324, {1, 3, 7, 1, 7, 43, 83, 33, 69, 119, 139, 1391, 4879, 3759, 31211, 29203, 110229}},
+{13405, 17, 65335, {1, 3, 7, 15, 31, 59, 53, 97, 135, 233, 1421, 587, 2985, 3627, 7355, 53829, 51581}},
+{13406, 17, 65354, {1, 3, 7, 15, 1, 37, 39, 225, 147, 37, 327, 2819, 6081, 4337, 22063, 21177, 91065}},
+{13407, 17, 65359, {1, 1, 3, 1, 13, 31, 61, 133, 433, 243, 131, 3625, 6389, 335, 24029, 33217, 80833}},
+{13408, 17, 65373, {1, 1, 7, 11, 21, 39, 95, 181, 35, 499, 677, 3935, 1379, 6791, 12633, 13671, 28317}},
+{13409, 17, 65383, {1, 3, 1, 5, 7, 57, 5, 229, 389, 197, 1523, 1221, 609, 10449, 6389, 9279, 53871}},
+{13410, 17, 65387, {1, 3, 5, 7, 1, 39, 69, 131, 387, 839, 1375, 3841, 81, 7395, 5837, 32067, 51183}},
+{13411, 17, 65397, {1, 1, 5, 3, 5, 27, 107, 171, 53, 923, 345, 445, 1101, 11201, 20563, 30889, 72361}},
+{13412, 17, 65411, {1, 3, 7, 11, 19, 7, 99, 219, 485, 403, 293, 3967, 7517, 4765, 11331, 55, 92641}},
+{13413, 17, 65413, {1, 1, 7, 13, 19, 9, 73, 31, 405, 513, 941, 3645, 7075, 8109, 21431, 52791, 120927}},
+{13414, 17, 65418, {1, 1, 1, 15, 29, 33, 75, 65, 479, 47, 35, 4023, 4853, 2793, 29895, 2711, 83779}},
+{13415, 17, 65441, {1, 1, 3, 15, 11, 1, 9, 149, 503, 845, 647, 1233, 4355, 3623, 3197, 36015, 24839}},
+{13416, 17, 65444, {1, 1, 7, 1, 31, 35, 59, 25, 393, 503, 227, 3243, 301, 11121, 32463, 38185, 69969}},
+{13417, 17, 65447, {1, 1, 1, 7, 9, 15, 11, 89, 19, 605, 1657, 3335, 1967, 29, 28619, 42301, 79909}},
+{13418, 17, 65448, {1, 3, 7, 7, 19, 29, 111, 55, 299, 733, 547, 395, 4831, 1991, 7357, 25781, 115129}},
+{13419, 17, 65473, {1, 1, 3, 7, 5, 33, 31, 101, 163, 389, 1163, 1843, 4105, 14209, 29261, 5821, 17929}},
+{13420, 17, 65476, {1, 3, 5, 1, 11, 23, 53, 227, 497, 695, 313, 3305, 6549, 15401, 9339, 40283, 60531}},
+{13421, 17, 65480, {1, 3, 5, 5, 3, 29, 77, 149, 509, 747, 85, 2561, 4435, 14475, 22887, 38177, 24535}},
+{13422, 17, 65494, {1, 1, 7, 1, 1, 33, 7, 77, 153, 369, 689, 3325, 1173, 16203, 1499, 36627, 66915}},
+{13423, 17, 65509, {1, 1, 5, 11, 23, 61, 95, 61, 289, 71, 653, 2817, 365, 7391, 1613, 48901, 57471}},
+{13424, 17, 65519, {1, 3, 3, 7, 15, 29, 65, 133, 15, 921, 1601, 1941, 6917, 10945, 20101, 59809, 9017}},
+{13425, 17, 65527, {1, 3, 3, 15, 7, 51, 95, 53, 87, 1017, 1039, 3405, 1967, 9855, 4905, 4651, 83487}},
+{13426, 18, 19, {1, 3, 5, 13, 23, 27, 31, 179, 121, 597, 829, 4003, 2487, 3977, 3087, 26791, 28305, 138357}},
+{13427, 18, 31, {1, 1, 5, 5, 5, 39, 95, 117, 461, 117, 109, 2571, 7651, 12361, 17921, 555, 33353, 186427}},
+{13428, 18, 38, {1, 1, 3, 13, 23, 47, 89, 125, 271, 609, 215, 3861, 6883, 3217, 2547, 54943, 60565, 215939}},
+{13429, 18, 61, {1, 1, 7, 15, 25, 61, 47, 93, 219, 919, 1551, 1417, 2753, 4353, 9201, 46423, 31227, 150649}},
+{13430, 18, 64, {1, 1, 1, 3, 29, 39, 11, 61, 137, 809, 147, 2715, 5455, 9431, 5725, 46135, 118193, 54099}},
+{13431, 18, 109, {1, 1, 3, 1, 25, 37, 83, 211, 423, 779, 1731, 2827, 883, 10477, 28771, 21723, 114333, 56293}},
+{13432, 18, 115, {1, 1, 5, 5, 27, 17, 21, 125, 495, 655, 1803, 3555, 1997, 15593, 29705, 48537, 53935, 179773}},
+{13433, 18, 118, {1, 1, 7, 5, 19, 63, 55, 15, 469, 769, 967, 3047, 1713, 11655, 15313, 29965, 78857, 223391}},
+{13434, 18, 131, {1, 3, 3, 5, 27, 33, 51, 171, 417, 243, 1203, 3505, 2533, 2695, 219, 57423, 5145, 143165}},
+{13435, 18, 167, {1, 3, 5, 9, 5, 19, 95, 97, 1, 863, 693, 2977, 4839, 6649, 22587, 40745, 113839, 69131}},
+{13436, 18, 200, {1, 3, 5, 1, 31, 39, 53, 85, 509, 5, 359, 1947, 3279, 5433, 21763, 46713, 37289, 35911}},
+{13437, 18, 241, {1, 3, 7, 13, 17, 35, 59, 63, 95, 667, 1775, 2165, 7861, 15731, 12159, 36179, 115457, 184819}},
+{13438, 18, 244, {1, 3, 3, 15, 19, 51, 7, 83, 367, 573, 503, 535, 333, 13041, 7187, 14479, 57473, 242951}},
+{13439, 18, 247, {1, 3, 5, 1, 7, 27, 65, 201, 365, 445, 985, 1175, 6391, 7345, 19935, 29085, 103001, 231855}},
+{13440, 18, 261, {1, 3, 5, 13, 15, 61, 95, 125, 135, 217, 1787, 417, 7641, 11825, 14531, 48497, 125087, 73279}},
+{13441, 18, 265, {1, 1, 5, 13, 7, 25, 77, 99, 341, 447, 1711, 137, 2749, 3465, 26255, 719, 102595, 112825}},
+{13442, 18, 304, {1, 1, 7, 7, 15, 13, 127, 57, 359, 591, 713, 409, 1293, 4979, 7035, 11369, 85255, 207241}},
+{13443, 18, 314, {1, 3, 3, 5, 1, 45, 123, 183, 297, 375, 1269, 1197, 2389, 6269, 24549, 44643, 75893, 161509}},
+{13444, 18, 341, {1, 1, 5, 7, 17, 55, 67, 51, 449, 383, 2037, 871, 1359, 15317, 22055, 4655, 18065, 258271}},
+{13445, 18, 376, {1, 1, 3, 11, 21, 27, 59, 205, 145, 195, 1747, 1121, 1061, 8879, 31455, 56541, 74765, 183047}},
+{13446, 18, 395, {1, 1, 5, 15, 1, 11, 69, 157, 13, 185, 1355, 467, 4383, 13103, 21679, 35169, 33427, 32113}},
+{13447, 18, 405, {1, 3, 1, 3, 29, 41, 15, 209, 313, 61, 1749, 2457, 1897, 15595, 24441, 39913, 40499, 5179}},
+{13448, 18, 406, {1, 3, 7, 15, 25, 41, 87, 125, 239, 73, 207, 2043, 1133, 12845, 8533, 16339, 117913, 118677}},
+{13449, 18, 443, {1, 1, 3, 15, 25, 9, 15, 97, 395, 99, 2017, 1003, 847, 2535, 11753, 54769, 54011, 73541}},
+{13450, 18, 451, {1, 1, 7, 15, 11, 61, 13, 49, 319, 871, 893, 165, 3957, 8683, 31197, 39491, 58705, 213411}},
+{13451, 18, 458, {1, 3, 7, 3, 17, 43, 29, 81, 461, 595, 541, 243, 5587, 13083, 29981, 16187, 124601, 89543}},
+{13452, 18, 460, {1, 1, 5, 11, 7, 5, 61, 43, 445, 115, 1705, 419, 4627, 15063, 16053, 26249, 112243, 208711}},
+{13453, 18, 468, {1, 3, 3, 9, 27, 21, 89, 49, 41, 859, 681, 2043, 7445, 9591, 13443, 36981, 66785, 227899}},
+{13454, 18, 472, {1, 1, 3, 5, 11, 55, 51, 45, 41, 739, 1199, 191, 4563, 4035, 3657, 12189, 52879, 33961}},
+{13455, 18, 482, {1, 1, 1, 3, 17, 59, 47, 217, 389, 783, 1501, 517, 6311, 7903, 1371, 50617, 41723, 116473}},
+{13456, 18, 491, {1, 1, 5, 13, 29, 39, 101, 203, 101, 479, 1337, 2647, 6447, 563, 2593, 16533, 122535, 25587}},
+{13457, 18, 496, {1, 1, 3, 3, 27, 21, 75, 173, 289, 279, 665, 3177, 559, 8539, 10903, 16779, 128219, 125907}},
+{13458, 18, 524, {1, 1, 1, 11, 27, 1, 61, 247, 113, 585, 331, 3443, 5939, 5213, 27289, 57057, 17349, 62359}},
+{13459, 18, 536, {1, 3, 5, 15, 21, 41, 67, 47, 121, 11, 545, 3609, 7745, 3669, 9045, 8377, 97655, 99631}},
+{13460, 18, 542, {1, 3, 5, 9, 11, 15, 111, 61, 67, 775, 579, 3421, 7827, 13607, 32373, 43531, 86149, 238827}},
+{13461, 18, 557, {1, 1, 1, 1, 9, 45, 79, 153, 331, 399, 1777, 3515, 3363, 3499, 13461, 48651, 21731, 220611}},
+{13462, 18, 572, {1, 1, 1, 1, 31, 57, 117, 223, 139, 725, 1115, 3203, 8185, 11983, 20245, 55913, 36803, 68101}},
+{13463, 18, 580, {1, 1, 1, 3, 31, 57, 53, 79, 225, 307, 1645, 3311, 643, 6587, 12037, 12453, 83461, 195503}},
+{13464, 18, 592, {1, 3, 1, 7, 23, 25, 65, 233, 273, 97, 37, 1563, 3635, 9299, 24367, 42761, 55, 128675}},
+{13465, 18, 656, {1, 3, 3, 11, 29, 21, 97, 143, 447, 345, 389, 381, 1403, 685, 309, 11103, 69769, 194441}},
+{13466, 18, 713, {1, 3, 3, 11, 23, 55, 119, 71, 23, 291, 1241, 1723, 5025, 4499, 26617, 22875, 62185, 240321}},
+{13467, 18, 719, {1, 1, 7, 11, 19, 63, 31, 131, 393, 99, 1061, 3805, 7477, 15357, 8269, 26067, 113349, 239333}},
+{13468, 18, 738, {1, 3, 5, 1, 5, 37, 77, 83, 37, 759, 1297, 3067, 5369, 5977, 7531, 49079, 94503, 192765}},
+{13469, 18, 749, {1, 1, 7, 1, 23, 9, 119, 137, 469, 73, 2001, 2629, 2681, 2295, 2055, 44027, 47627, 45283}},
+{13470, 18, 752, {1, 3, 1, 7, 31, 17, 61, 137, 241, 325, 1417, 2383, 4171, 2495, 215, 59593, 98495, 74727}},
+{13471, 18, 767, {1, 1, 7, 13, 7, 5, 59, 189, 131, 865, 1963, 1811, 5629, 16189, 16397, 58069, 72081, 191457}},
+{13472, 18, 772, {1, 1, 7, 15, 23, 33, 93, 247, 395, 643, 693, 3587, 4375, 5519, 9449, 37515, 11455, 218337}},
+{13473, 18, 782, {1, 1, 3, 1, 27, 63, 113, 91, 477, 55, 1461, 1547, 4743, 699, 21639, 1815, 169, 34239}},
+{13474, 18, 789, {1, 1, 5, 15, 29, 37, 19, 19, 247, 771, 695, 319, 1779, 10553, 16165, 60507, 87161, 86967}},
+{13475, 18, 830, {1, 1, 7, 1, 25, 61, 13, 167, 251, 861, 1717, 1533, 7323, 3945, 20879, 37759, 129689, 35901}},
+{13476, 18, 838, {1, 3, 3, 7, 7, 61, 11, 25, 187, 949, 1393, 1743, 745, 16313, 5293, 16921, 17619, 237705}},
+{13477, 18, 916, {1, 3, 5, 11, 7, 27, 11, 107, 299, 711, 149, 1581, 7747, 14285, 6411, 52209, 79043, 61117}},
+{13478, 18, 920, {1, 1, 5, 1, 17, 19, 91, 185, 53, 699, 1185, 4007, 1099, 1965, 20239, 19547, 120859, 234149}},
+{13479, 18, 936, {1, 1, 5, 5, 13, 61, 117, 187, 149, 957, 837, 3549, 6221, 501, 24755, 47975, 67007, 12329}},
+{13480, 18, 991, {1, 1, 3, 15, 21, 41, 55, 81, 397, 403, 1699, 1057, 6125, 11987, 3103, 43361, 21277, 156577}},
+{13481, 18, 998, {1, 1, 5, 11, 5, 27, 5, 177, 387, 859, 809, 3919, 4085, 1535, 6009, 13265, 3065, 217945}},
+{13482, 18, 1016, {1, 3, 1, 13, 15, 57, 107, 81, 437, 305, 879, 1691, 3685, 11415, 3749, 46999, 113933, 10515}},
+{13483, 18, 1024, {1, 1, 7, 13, 9, 43, 59, 223, 189, 329, 829, 2033, 1835, 8255, 8121, 46463, 61433, 86453}},
+{13484, 18, 1053, {1, 3, 1, 9, 11, 49, 63, 125, 11, 987, 2017, 2623, 4753, 13889, 57, 24755, 108489, 175383}},
+{13485, 18, 1081, {1, 1, 1, 3, 25, 33, 39, 151, 405, 657, 1755, 957, 5557, 7611, 25839, 51385, 92713, 64009}},
+{13486, 18, 1090, {1, 3, 7, 9, 17, 17, 115, 89, 225, 715, 1085, 543, 1047, 15053, 14359, 43301, 31455, 156555}},
+{13487, 18, 1125, {1, 1, 7, 11, 11, 21, 115, 5, 371, 1003, 1053, 1713, 5921, 7277, 799, 62483, 28079, 222319}},
+{13488, 18, 1135, {1, 1, 3, 3, 31, 15, 127, 213, 459, 229, 1477, 1863, 1021, 14881, 16299, 5953, 121455, 49659}},
+{13489, 18, 1143, {1, 1, 5, 9, 3, 39, 87, 219, 57, 479, 69, 2777, 8105, 11975, 14743, 26205, 93303, 45311}},
+{13490, 18, 1150, {1, 1, 5, 13, 3, 43, 55, 139, 19, 715, 2035, 2993, 2945, 9075, 6275, 32233, 103127, 49523}},
+{13491, 18, 1154, {1, 3, 1, 13, 19, 31, 109, 211, 261, 231, 697, 383, 2173, 14617, 11877, 37009, 5485, 236549}},
+{13492, 18, 1171, {1, 1, 5, 3, 5, 23, 91, 115, 369, 11, 1021, 519, 655, 4461, 23743, 56981, 51687, 114845}},
+{13493, 18, 1174, {1, 3, 7, 9, 29, 23, 19, 127, 17, 369, 1537, 2705, 4993, 1869, 15447, 28127, 73609, 97683}},
+{13494, 18, 1202, {1, 1, 3, 9, 17, 61, 97, 187, 213, 861, 725, 3205, 103, 12729, 2915, 28389, 83123, 124065}},
+{13495, 18, 1213, {1, 3, 1, 1, 5, 61, 47, 187, 471, 137, 1595, 707, 2449, 14315, 16409, 41467, 37533, 1649}},
+{13496, 18, 1225, {1, 3, 5, 5, 7, 39, 1, 245, 361, 43, 1259, 3149, 3449, 15723, 6225, 27445, 80529, 215349}},
+{13497, 18, 1233, {1, 3, 3, 11, 17, 27, 37, 47, 157, 345, 1437, 3219, 5663, 7299, 23925, 34067, 102379, 42767}},
+{13498, 18, 1234, {1, 3, 5, 13, 21, 59, 43, 189, 17, 303, 1949, 3627, 3495, 7981, 18115, 34221, 43511, 255257}},
+{13499, 18, 1252, {1, 3, 7, 15, 3, 29, 81, 243, 321, 853, 595, 2451, 1713, 11859, 27689, 12849, 24505, 9547}},
+{13500, 18, 1255, {1, 3, 1, 3, 7, 7, 89, 183, 51, 901, 253, 2421, 7453, 15827, 21451, 58653, 51933, 239113}},
+{13501, 18, 1294, {1, 1, 7, 3, 21, 59, 93, 25, 219, 805, 1699, 3777, 3683, 5351, 5481, 44797, 651, 32161}},
+{13502, 18, 1349, {1, 3, 7, 5, 31, 15, 15, 167, 305, 545, 331, 3765, 8191, 5763, 16965, 7239, 73735, 1049}},
+{13503, 18, 1354, {1, 3, 1, 15, 13, 19, 59, 107, 213, 39, 1547, 3413, 6175, 16195, 4635, 8945, 60301, 196697}},
+{13504, 18, 1378, {1, 1, 3, 1, 29, 17, 51, 61, 261, 951, 643, 2329, 2235, 9171, 11265, 3523, 89781, 227125}},
+{13505, 18, 1383, {1, 3, 5, 1, 1, 51, 75, 199, 479, 899, 1425, 3697, 2039, 4503, 11789, 16853, 94607, 236887}},
+{13506, 18, 1387, {1, 3, 1, 9, 19, 43, 111, 41, 385, 677, 1067, 3391, 7819, 13663, 17713, 10155, 124243, 56005}},
+{13507, 18, 1392, {1, 3, 5, 3, 15, 3, 105, 23, 307, 955, 843, 1277, 6697, 11903, 8901, 36129, 51685, 251115}},
+{13508, 18, 1402, {1, 3, 1, 5, 27, 35, 95, 57, 207, 49, 1559, 171, 4703, 511, 4169, 23241, 111447, 173109}},
+{13509, 18, 1420, {1, 3, 1, 13, 23, 5, 31, 15, 223, 673, 1333, 2243, 2479, 7489, 31891, 33909, 96803, 227027}},
+{13510, 18, 1428, {1, 3, 5, 11, 5, 45, 19, 13, 367, 475, 1719, 3947, 5295, 2319, 20697, 181, 16925, 80239}},
+{13511, 18, 1437, {1, 1, 5, 13, 15, 47, 89, 15, 153, 73, 523, 3529, 5401, 15881, 13779, 32123, 82347, 58749}},
+{13512, 18, 1448, {1, 3, 5, 7, 5, 7, 123, 217, 261, 65, 685, 2175, 3289, 7473, 17857, 48335, 94183, 216857}},
+{13513, 18, 1459, {1, 3, 7, 13, 7, 23, 85, 25, 231, 19, 1179, 2705, 6433, 10827, 1969, 51521, 76775, 260291}},
+{13514, 18, 1473, {1, 3, 3, 13, 9, 39, 5, 141, 475, 777, 1809, 1975, 2347, 12611, 28303, 15239, 45429, 170015}},
+{13515, 18, 1507, {1, 1, 7, 7, 31, 31, 39, 19, 317, 897, 739, 275, 2261, 16013, 1123, 33181, 96603, 37563}},
+{13516, 18, 1516, {1, 1, 7, 13, 31, 55, 87, 239, 193, 435, 625, 2153, 3979, 15537, 19937, 50621, 48273, 31381}},
+{13517, 18, 1528, {1, 1, 1, 15, 1, 57, 73, 237, 361, 749, 379, 2511, 501, 10783, 2787, 36983, 12393, 14345}},
+{13518, 18, 1573, {1, 1, 1, 3, 25, 33, 85, 25, 83, 939, 139, 2601, 6385, 16041, 28463, 38977, 28163, 232165}},
+{13519, 18, 1592, {1, 3, 5, 3, 9, 19, 119, 171, 499, 19, 569, 353, 1619, 6235, 24431, 47401, 48125, 168819}},
+{13520, 18, 1597, {1, 1, 1, 3, 9, 27, 121, 137, 411, 391, 1437, 1339, 7475, 3889, 15451, 34809, 69807, 162851}},
+{13521, 18, 1654, {1, 3, 5, 11, 31, 39, 41, 3, 171, 35, 81, 2713, 1077, 10697, 12343, 52133, 52825, 152255}},
+{13522, 18, 1663, {1, 1, 3, 11, 17, 51, 83, 19, 357, 207, 897, 2167, 1333, 4111, 29295, 65371, 73447, 61765}},
+{13523, 18, 1730, {1, 1, 3, 7, 9, 59, 17, 135, 365, 931, 1203, 277, 5531, 4213, 12969, 2617, 591, 154539}},
+{13524, 18, 1739, {1, 3, 7, 11, 1, 53, 31, 49, 135, 603, 227, 911, 7371, 8559, 27195, 33065, 71351, 245255}},
+{13525, 18, 1741, {1, 1, 7, 1, 15, 5, 31, 135, 197, 791, 1531, 2567, 2545, 15515, 25417, 27431, 15571, 176829}},
+{13526, 18, 1753, {1, 3, 1, 1, 15, 7, 89, 217, 505, 859, 1329, 2285, 7921, 11839, 7699, 56867, 112483, 3895}},
+{13527, 18, 1783, {1, 3, 1, 3, 27, 57, 37, 117, 491, 815, 275, 381, 7443, 3297, 1523, 34211, 97589, 232261}},
+{13528, 18, 1804, {1, 1, 3, 3, 29, 63, 69, 153, 297, 423, 1435, 3927, 7265, 13223, 17607, 21201, 57929, 73037}},
+{13529, 18, 1807, {1, 3, 1, 3, 23, 41, 1, 167, 121, 217, 973, 2149, 3807, 9895, 29635, 1625, 99829, 218541}},
+{13530, 18, 1832, {1, 3, 5, 7, 31, 33, 53, 165, 51, 119, 7, 1655, 6521, 5481, 9503, 6833, 80483, 252111}},
+{13531, 18, 1850, {1, 1, 7, 1, 5, 63, 25, 219, 165, 893, 1665, 2789, 1113, 9277, 3151, 12625, 82403, 59749}},
+{13532, 18, 1852, {1, 3, 7, 3, 21, 13, 127, 127, 145, 993, 715, 1947, 7501, 4385, 11759, 2179, 26039, 28027}},
+{13533, 18, 1881, {1, 3, 5, 9, 23, 27, 123, 1, 231, 709, 1615, 1433, 5991, 1045, 16269, 123, 110249, 154819}},
+{13534, 18, 1894, {1, 1, 1, 5, 17, 11, 123, 151, 387, 905, 991, 1571, 4463, 6765, 31905, 59307, 75175, 204571}},
+{13535, 18, 1927, {1, 3, 1, 11, 27, 49, 1, 181, 77, 1023, 807, 3479, 7965, 4633, 17495, 5991, 77081, 249343}},
+{13536, 18, 1952, {1, 3, 1, 1, 13, 53, 105, 79, 269, 173, 1319, 1695, 1215, 3651, 25063, 34949, 77243, 214671}},
+{13537, 18, 1969, {1, 1, 1, 1, 3, 19, 103, 233, 1, 507, 721, 1797, 5025, 405, 13027, 23693, 89963, 25771}},
+{13538, 18, 1999, {1, 3, 5, 9, 21, 53, 1, 241, 405, 707, 1807, 3615, 1199, 11155, 27741, 53931, 55091, 248677}},
+{13539, 18, 2018, {1, 3, 5, 7, 27, 27, 39, 77, 475, 845, 1393, 3779, 5261, 13017, 13517, 18595, 64485, 180577}},
+{13540, 18, 2047, {1, 1, 3, 5, 7, 21, 95, 59, 203, 233, 1167, 3457, 3965, 4321, 14885, 6335, 78353, 39341}},
+{13541, 18, 2066, {1, 1, 7, 13, 27, 19, 27, 133, 419, 507, 945, 3595, 131, 7981, 31451, 62347, 19151, 256127}},
+{13542, 18, 2068, {1, 3, 7, 3, 7, 15, 9, 173, 257, 983, 223, 2881, 6911, 3681, 26183, 38943, 112171, 148627}},
+{13543, 18, 2093, {1, 3, 3, 15, 5, 49, 91, 205, 303, 183, 775, 3841, 4943, 14417, 23013, 59337, 85835, 181771}},
+{13544, 18, 2105, {1, 3, 5, 9, 21, 1, 117, 27, 509, 263, 1215, 893, 6677, 3275, 20831, 5045, 127323, 62589}},
+{13545, 18, 2116, {1, 1, 1, 3, 17, 61, 77, 239, 379, 649, 1151, 2359, 2659, 13853, 30589, 55873, 50359, 184125}},
+{13546, 18, 2149, {1, 1, 7, 5, 17, 33, 95, 111, 245, 873, 1721, 3079, 7753, 12889, 27107, 8267, 119413, 249045}},
+{13547, 18, 2201, {1, 1, 1, 15, 13, 23, 59, 169, 449, 283, 913, 2099, 5337, 4307, 3701, 16395, 112987, 14183}},
+{13548, 18, 2228, {1, 1, 5, 3, 5, 15, 3, 249, 97, 849, 1551, 3437, 1247, 10915, 24073, 53723, 40345, 37215}},
+{13549, 18, 2245, {1, 1, 1, 5, 21, 59, 109, 79, 9, 827, 1329, 405, 3821, 8415, 11239, 1003, 78967, 112627}},
+{13550, 18, 2246, {1, 1, 1, 11, 21, 7, 21, 45, 327, 365, 865, 1409, 1273, 15675, 21425, 45367, 22279, 240943}},
+{13551, 18, 2283, {1, 3, 3, 7, 3, 19, 83, 163, 381, 547, 195, 1537, 7905, 9057, 1309, 41135, 118857, 101725}},
+{13552, 18, 2288, {1, 1, 5, 9, 11, 19, 107, 247, 309, 343, 1697, 699, 7137, 12815, 18405, 42673, 505, 104801}},
+{13553, 18, 2320, {1, 3, 5, 3, 13, 43, 55, 15, 441, 843, 1153, 3739, 67, 11053, 30985, 55329, 57301, 190991}},
+{13554, 18, 2326, {1, 1, 5, 3, 23, 41, 9, 239, 227, 145, 1895, 2645, 945, 6421, 2859, 16173, 97043, 234649}},
+{13555, 18, 2386, {1, 3, 1, 3, 23, 47, 57, 207, 441, 279, 1951, 3041, 2465, 6143, 27669, 41171, 89627, 2489}},
+{13556, 18, 2392, {1, 3, 1, 11, 7, 9, 19, 51, 345, 187, 1699, 1483, 15, 10321, 25277, 34889, 85225, 259071}},
+{13557, 18, 2395, {1, 1, 1, 15, 27, 15, 79, 51, 407, 757, 611, 3955, 1123, 14659, 11273, 56639, 64727, 183077}},
+{13558, 18, 2413, {1, 3, 7, 1, 13, 61, 89, 157, 29, 561, 791, 995, 4233, 11351, 16335, 47041, 108671, 120115}},
+{13559, 18, 2419, {1, 3, 3, 15, 17, 35, 15, 223, 57, 7, 961, 3327, 7287, 5537, 26231, 3289, 106555, 109781}},
+{13560, 18, 2441, {1, 3, 7, 15, 17, 3, 25, 121, 349, 995, 1353, 2991, 3071, 3583, 26173, 42343, 60495, 44035}},
+{13561, 18, 2466, {1, 3, 1, 11, 5, 5, 83, 249, 427, 173, 1733, 45, 3277, 7911, 18091, 61305, 130251, 31849}},
+{13562, 18, 2477, {1, 1, 1, 9, 3, 23, 23, 127, 371, 1011, 573, 1769, 1707, 15351, 30077, 61139, 122963, 203481}},
+{13563, 18, 2485, {1, 1, 1, 13, 27, 41, 97, 29, 461, 207, 1393, 707, 5633, 7155, 13455, 7305, 107539, 136413}},
+{13564, 18, 2492, {1, 1, 1, 9, 3, 13, 61, 115, 297, 333, 1679, 127, 8049, 3129, 31845, 40039, 77087, 6831}},
+{13565, 18, 2495, {1, 3, 3, 11, 27, 25, 49, 29, 423, 193, 1955, 2927, 5679, 3537, 16911, 47065, 126803, 129957}},
+{13566, 18, 2498, {1, 1, 1, 3, 21, 31, 25, 187, 301, 883, 1301, 415, 1515, 14761, 227, 24377, 54415, 64553}},
+{13567, 18, 2504, {1, 3, 7, 7, 3, 5, 69, 221, 357, 587, 1387, 3719, 5355, 10569, 14731, 22515, 107237, 1673}},
+{13568, 18, 2515, {1, 1, 3, 15, 27, 7, 89, 23, 213, 655, 779, 1641, 1793, 1499, 27279, 59423, 56715, 90313}},
+{13569, 18, 2521, {1, 3, 3, 7, 3, 33, 85, 181, 509, 327, 353, 1625, 4995, 15627, 17071, 31885, 122423, 100337}},
+{13570, 18, 2561, {1, 3, 5, 9, 7, 39, 45, 157, 279, 211, 1163, 3283, 4419, 10187, 22397, 42119, 25105, 163925}},
+{13571, 18, 2579, {1, 3, 3, 15, 17, 37, 75, 65, 501, 765, 1171, 2451, 309, 551, 15573, 65497, 106435, 20817}},
+{13572, 18, 2604, {1, 1, 3, 1, 13, 1, 79, 117, 5, 285, 953, 2401, 2479, 15765, 25677, 63611, 91807, 78153}},
+{13573, 18, 2657, {1, 1, 5, 15, 1, 7, 123, 159, 217, 307, 1779, 2625, 101, 13887, 31721, 55769, 94899, 183427}},
+{13574, 18, 2681, {1, 3, 5, 5, 11, 13, 59, 205, 221, 871, 753, 823, 547, 11055, 31621, 54379, 23631, 137027}},
+{13575, 18, 2691, {1, 3, 3, 7, 5, 17, 7, 31, 37, 237, 1633, 969, 4123, 6643, 28499, 3277, 130223, 37465}},
+{13576, 18, 2731, {1, 3, 7, 5, 29, 41, 65, 159, 487, 61, 1217, 4093, 487, 15257, 13379, 46641, 88043, 107425}},
+{13577, 18, 2739, {1, 1, 7, 7, 19, 29, 87, 119, 13, 877, 467, 2661, 7733, 9303, 20069, 8445, 126159, 69421}},
+{13578, 18, 2765, {1, 3, 1, 13, 1, 57, 77, 241, 185, 479, 859, 2397, 1167, 6545, 20715, 50701, 107781, 149965}},
+{13579, 18, 2790, {1, 1, 5, 1, 1, 3, 19, 31, 473, 685, 1455, 1537, 1843, 4051, 17475, 56717, 70257, 112815}},
+{13580, 18, 2802, {1, 3, 7, 15, 9, 21, 19, 201, 13, 551, 1053, 1291, 3793, 7923, 30425, 55513, 30033, 70597}},
+{13581, 18, 2819, {1, 3, 1, 15, 21, 47, 127, 117, 199, 655, 1979, 1291, 8017, 11769, 9071, 12029, 112369, 2529}},
+{13582, 18, 2891, {1, 3, 5, 1, 15, 3, 25, 199, 101, 997, 597, 2485, 6509, 11913, 19573, 13985, 56165, 249}},
+{13583, 18, 2905, {1, 1, 7, 3, 19, 45, 107, 229, 241, 747, 1219, 3133, 3675, 4441, 13933, 64571, 95445, 250713}},
+{13584, 18, 2911, {1, 3, 1, 5, 11, 31, 89, 119, 503, 99, 75, 349, 7479, 15161, 6365, 62461, 39443, 188455}},
+{13585, 18, 2912, {1, 1, 5, 13, 25, 31, 65, 237, 259, 329, 89, 1283, 6033, 4401, 7655, 38837, 62367, 76555}},
+{13586, 18, 2921, {1, 1, 1, 7, 19, 61, 109, 41, 361, 89, 171, 2319, 3625, 8905, 24461, 36135, 28515, 101547}},
+{13587, 18, 2924, {1, 3, 5, 3, 5, 45, 123, 227, 339, 79, 309, 2619, 1621, 1295, 6395, 6717, 119933, 187231}},
+{13588, 18, 2945, {1, 1, 1, 3, 3, 45, 91, 225, 269, 475, 1159, 2599, 5087, 4141, 28375, 22413, 56235, 256559}},
+{13589, 18, 2952, {1, 1, 1, 13, 7, 51, 27, 65, 65, 381, 169, 1759, 4653, 9885, 25839, 19851, 4965, 249097}},
+{13590, 18, 2972, {1, 3, 7, 11, 25, 11, 83, 137, 419, 277, 503, 2823, 2759, 8173, 9405, 23731, 116087, 9735}},
+{13591, 18, 2986, {1, 1, 5, 5, 27, 17, 123, 145, 41, 85, 1099, 1087, 1465, 7063, 8585, 39427, 15479, 243967}},
+{13592, 18, 3000, {1, 1, 7, 3, 21, 53, 105, 185, 101, 763, 593, 2649, 3273, 5655, 12233, 11761, 27093, 121347}},
+{13593, 18, 3008, {1, 1, 1, 5, 11, 55, 107, 167, 179, 681, 741, 1821, 4297, 14677, 9949, 9647, 60465, 36999}},
+{13594, 18, 3011, {1, 1, 1, 7, 25, 43, 95, 71, 161, 517, 1475, 1989, 6273, 13295, 19681, 51773, 93523, 33441}},
+{13595, 18, 3018, {1, 3, 1, 13, 23, 59, 95, 177, 73, 707, 37, 421, 3747, 14207, 17159, 4957, 20161, 26185}},
+{13596, 18, 3047, {1, 1, 7, 13, 13, 1, 19, 153, 445, 429, 1911, 3515, 639, 16015, 833, 54347, 87717, 82175}},
+{13597, 18, 3071, {1, 3, 5, 9, 1, 9, 115, 87, 341, 651, 1583, 807, 559, 13579, 9647, 37277, 125555, 169655}},
+{13598, 18, 3079, {1, 1, 3, 5, 13, 23, 117, 229, 205, 803, 1381, 2773, 7099, 4031, 597, 37135, 11643, 92325}},
+{13599, 18, 3083, {1, 3, 7, 9, 27, 15, 33, 147, 1, 799, 1511, 2609, 1419, 5991, 15571, 56995, 97695, 223969}},
+{13600, 18, 3086, {1, 3, 1, 3, 17, 9, 17, 189, 407, 355, 765, 2545, 1079, 15253, 4785, 5187, 80775, 238775}},
+{13601, 18, 3148, {1, 1, 3, 1, 31, 29, 3, 159, 263, 325, 125, 2221, 6369, 5717, 13985, 33829, 21375, 134249}},
+{13602, 18, 3156, {1, 3, 7, 3, 5, 29, 39, 75, 183, 155, 1017, 637, 921, 9561, 14893, 59695, 38325, 15503}},
+{13603, 18, 3194, {1, 1, 3, 13, 9, 31, 43, 71, 241, 661, 325, 357, 431, 903, 5039, 24535, 94241, 228605}},
+{13604, 18, 3230, {1, 3, 1, 1, 17, 37, 93, 47, 25, 207, 611, 415, 6473, 15979, 2025, 19003, 8941, 248779}},
+{13605, 18, 3233, {1, 1, 7, 15, 19, 17, 81, 201, 121, 11, 1975, 1289, 4405, 7851, 9707, 20057, 33749, 187161}},
+{13606, 18, 3254, {1, 1, 3, 5, 29, 31, 47, 99, 435, 795, 947, 1299, 4011, 8315, 12827, 48071, 86567, 154655}},
+{13607, 18, 3268, {1, 1, 5, 3, 9, 59, 115, 191, 177, 65, 1835, 3989, 1819, 14325, 8939, 25337, 16099, 200577}},
+{13608, 18, 3305, {1, 3, 7, 9, 15, 47, 7, 195, 413, 1013, 1607, 3317, 6979, 13243, 275, 34125, 66069, 90201}},
+{13609, 18, 3323, {1, 1, 3, 3, 29, 3, 51, 137, 341, 393, 897, 351, 1937, 6793, 12551, 18873, 110949, 133925}},
+{13610, 18, 3326, {1, 3, 5, 9, 29, 41, 79, 169, 113, 123, 1229, 1885, 6153, 1549, 31729, 41949, 74083, 41387}},
+{13611, 18, 3343, {1, 3, 1, 15, 31, 49, 7, 233, 305, 435, 1299, 3037, 2387, 15431, 817, 11783, 24067, 116527}},
+{13612, 18, 3345, {1, 3, 5, 13, 7, 17, 49, 33, 133, 45, 689, 2381, 2649, 2433, 27535, 21755, 88611, 200585}},
+{13613, 18, 3382, {1, 1, 5, 11, 1, 61, 87, 97, 91, 433, 313, 2541, 5289, 5769, 17963, 5719, 12165, 146849}},
+{13614, 18, 3413, {1, 3, 7, 13, 17, 21, 37, 191, 489, 847, 841, 3567, 7339, 15233, 23973, 1209, 99741, 243303}},
+{13615, 18, 3420, {1, 3, 1, 1, 5, 21, 11, 39, 69, 751, 1679, 143, 6187, 2963, 695, 45763, 126749, 243841}},
+{13616, 18, 3434, {1, 3, 3, 9, 21, 55, 43, 73, 133, 417, 495, 2899, 5681, 13049, 30241, 44519, 19095, 30673}},
+{13617, 18, 3453, {1, 1, 5, 9, 17, 51, 121, 205, 273, 597, 1325, 3755, 5113, 12287, 21323, 17947, 23807, 20025}},
+{13618, 18, 3472, {1, 1, 7, 7, 21, 11, 25, 33, 207, 13, 1639, 1971, 7401, 11771, 7879, 59027, 111981, 65451}},
+{13619, 18, 3488, {1, 3, 5, 15, 3, 15, 121, 23, 199, 839, 937, 3659, 5379, 2139, 31631, 17215, 65349, 157413}},
+{13620, 18, 3503, {1, 1, 1, 7, 3, 7, 81, 49, 17, 693, 1819, 2737, 7329, 49, 1655, 42317, 31385, 11435}},
+{13621, 18, 3506, {1, 3, 5, 15, 25, 51, 121, 133, 457, 159, 869, 855, 3529, 2691, 147, 58621, 78379, 148519}},
+{13622, 18, 3518, {1, 1, 3, 7, 1, 53, 109, 81, 37, 553, 1921, 3081, 2665, 12665, 13887, 1035, 16987, 48883}},
+{13623, 18, 3532, {1, 1, 5, 1, 19, 1, 121, 97, 143, 871, 1401, 2879, 5657, 5479, 14011, 65131, 56011, 241055}},
+{13624, 18, 3543, {1, 1, 7, 5, 9, 21, 9, 43, 331, 183, 1313, 2495, 6905, 2763, 29567, 7579, 95169, 130937}},
+{13625, 18, 3547, {1, 3, 7, 3, 3, 37, 65, 195, 339, 527, 1383, 3063, 7749, 11109, 8097, 27257, 107615, 134241}},
+{13626, 18, 3573, {1, 1, 1, 5, 25, 25, 63, 179, 135, 65, 169, 2709, 5435, 12119, 21549, 59847, 129639, 220163}},
+{13627, 18, 3574, {1, 3, 5, 1, 3, 17, 87, 181, 9, 923, 731, 3397, 7079, 3281, 10455, 35471, 20439, 206209}},
+{13628, 18, 3587, {1, 1, 1, 5, 31, 25, 15, 89, 381, 675, 1217, 3175, 707, 585, 1695, 57771, 92433, 203523}},
+{13629, 18, 3632, {1, 3, 5, 15, 5, 7, 9, 87, 461, 1017, 869, 1541, 7833, 3117, 24917, 13917, 104797, 149045}},
+{13630, 18, 3664, {1, 1, 7, 15, 13, 49, 9, 89, 165, 827, 657, 1977, 7471, 15437, 25785, 1455, 52803, 198793}},
+{13631, 18, 3713, {1, 3, 1, 15, 3, 39, 27, 205, 325, 345, 965, 1439, 4403, 10717, 9591, 46845, 123983, 76181}},
+{13632, 18, 3726, {1, 3, 1, 1, 25, 23, 97, 135, 367, 179, 1563, 75, 455, 3517, 21539, 59565, 43449, 139495}},
+{13633, 18, 3768, {1, 1, 5, 15, 13, 27, 55, 21, 1, 505, 1349, 409, 2491, 5299, 15771, 59389, 110377, 209275}},
+{13634, 18, 3771, {1, 1, 7, 9, 31, 15, 63, 91, 3, 559, 419, 1237, 1157, 5811, 24335, 19215, 12581, 148813}},
+{13635, 18, 3810, {1, 1, 7, 13, 23, 3, 81, 127, 33, 931, 867, 2905, 1011, 16207, 1543, 54309, 10611, 152733}},
+{13636, 18, 3848, {1, 3, 5, 7, 21, 19, 45, 101, 439, 537, 267, 945, 8007, 9383, 13211, 21867, 5731, 150203}},
+{13637, 18, 3868, {1, 1, 3, 9, 29, 3, 31, 219, 217, 775, 1011, 445, 2663, 1691, 9837, 5727, 116283, 128627}},
+{13638, 18, 3896, {1, 3, 3, 3, 21, 1, 97, 239, 457, 925, 1923, 1693, 1187, 13437, 8529, 22081, 633, 76109}},
+{13639, 18, 3910, {1, 3, 7, 7, 19, 5, 9, 15, 337, 855, 1563, 3159, 2799, 4103, 2013, 47789, 77027, 22425}},
+{13640, 18, 3921, {1, 1, 3, 15, 15, 41, 27, 77, 489, 377, 1953, 305, 5081, 1895, 5117, 51455, 71859, 190289}},
+{13641, 18, 3928, {1, 1, 5, 7, 7, 7, 13, 25, 115, 657, 223, 3185, 5327, 2559, 5147, 22237, 91933, 195429}},
+{13642, 18, 3940, {1, 1, 3, 5, 5, 19, 3, 197, 371, 237, 555, 2873, 3401, 3329, 29165, 4593, 111677, 244025}},
+{13643, 18, 3947, {1, 3, 5, 15, 15, 55, 29, 75, 329, 623, 279, 2831, 4489, 7803, 24119, 12959, 59783, 135213}},
+{13644, 18, 3949, {1, 3, 5, 13, 31, 21, 93, 77, 401, 353, 893, 917, 4813, 8027, 7847, 55315, 60213, 102763}},
+{13645, 18, 4001, {1, 1, 5, 13, 29, 49, 91, 35, 79, 625, 1539, 509, 823, 2239, 30867, 21729, 33195, 38189}},
+{13646, 18, 4004, {1, 3, 3, 3, 19, 11, 39, 145, 5, 329, 1653, 3205, 4431, 9291, 30369, 63173, 72317, 236103}},
+{13647, 18, 4022, {1, 3, 3, 15, 27, 9, 111, 191, 249, 845, 1845, 2097, 6529, 9559, 25757, 29085, 2615, 175759}},
+{13648, 18, 4026, {1, 3, 7, 1, 17, 59, 119, 125, 213, 995, 601, 2517, 1225, 2301, 13031, 40881, 31623, 165799}},
+{13649, 18, 4036, {1, 3, 3, 13, 25, 61, 97, 157, 347, 931, 1731, 3697, 5815, 7309, 30605, 3853, 72395, 103609}},
+{13650, 18, 4073, {1, 1, 7, 5, 23, 13, 51, 117, 495, 683, 777, 1629, 5683, 801, 4907, 24935, 9457, 214131}},
+{13651, 18, 4093, {1, 1, 5, 9, 1, 29, 107, 253, 195, 921, 345, 1451, 2253, 12723, 571, 12009, 34149, 140659}},
+{13652, 18, 4099, {1, 1, 5, 9, 31, 17, 93, 5, 455, 205, 1439, 1199, 7371, 12973, 16455, 675, 60561, 99575}},
+{13653, 18, 4120, {1, 3, 3, 3, 31, 37, 115, 49, 31, 285, 2029, 1369, 3443, 2411, 10367, 44859, 26737, 195703}},
+{13654, 18, 4136, {1, 1, 3, 1, 15, 39, 113, 37, 257, 3, 817, 2901, 4029, 12595, 30475, 34883, 109133, 92159}},
+{13655, 18, 4156, {1, 1, 7, 5, 9, 1, 9, 101, 317, 167, 1975, 411, 6875, 6951, 4401, 59483, 129813, 78289}},
+{13656, 18, 4176, {1, 1, 7, 9, 9, 5, 73, 7, 57, 907, 1887, 2923, 961, 8521, 873, 33791, 114485, 43081}},
+{13657, 18, 4182, {1, 1, 5, 7, 13, 45, 91, 179, 499, 197, 1337, 1321, 5307, 15503, 20449, 60813, 97393, 255741}},
+{13658, 18, 4191, {1, 1, 1, 5, 25, 13, 69, 221, 207, 823, 845, 3845, 6743, 5123, 27447, 2079, 100635, 124157}},
+{13659, 18, 4198, {1, 3, 5, 11, 13, 39, 121, 209, 137, 63, 1479, 323, 5347, 9797, 17785, 55541, 108713, 243347}},
+{13660, 18, 4252, {1, 1, 3, 9, 29, 45, 43, 81, 115, 979, 727, 423, 1133, 8757, 27833, 39907, 104663, 33067}},
+{13661, 18, 4259, {1, 3, 5, 1, 13, 61, 49, 17, 409, 567, 1035, 2299, 3711, 15485, 7767, 27809, 1275, 96455}},
+{13662, 18, 4261, {1, 1, 5, 9, 5, 33, 13, 9, 505, 459, 747, 4079, 4271, 6925, 13933, 31349, 5793, 68381}},
+{13663, 18, 4294, {1, 3, 3, 11, 15, 47, 15, 187, 349, 847, 817, 3551, 6059, 6451, 32615, 1635, 108889, 48003}},
+{13664, 18, 4341, {1, 3, 5, 7, 3, 31, 11, 255, 367, 295, 1079, 2981, 5583, 10771, 25359, 16083, 24163, 111201}},
+{13665, 18, 4348, {1, 3, 5, 5, 7, 5, 127, 19, 343, 849, 287, 1471, 7299, 1209, 31349, 33473, 4989, 229181}},
+{13666, 18, 4356, {1, 1, 3, 9, 25, 61, 7, 65, 77, 745, 1871, 2427, 3669, 8965, 11177, 5531, 115801, 34327}},
+{13667, 18, 4384, {1, 3, 3, 15, 1, 57, 125, 167, 173, 875, 347, 2317, 6687, 4339, 10573, 7841, 16241, 192225}},
+{13668, 18, 4389, {1, 3, 1, 3, 15, 37, 45, 189, 75, 1017, 1919, 3401, 329, 2539, 32697, 60801, 52017, 192611}},
+{13669, 18, 4401, {1, 3, 1, 5, 1, 23, 43, 55, 1, 443, 1769, 1633, 5225, 6855, 5419, 65139, 22237, 17415}},
+{13670, 18, 4428, {1, 3, 5, 15, 25, 7, 107, 209, 325, 367, 373, 1855, 1313, 12899, 30137, 19007, 9911, 11791}},
+{13671, 18, 4431, {1, 3, 7, 13, 3, 57, 123, 93, 279, 469, 1817, 3409, 565, 3997, 14119, 58341, 59691, 163323}},
+{13672, 18, 4445, {1, 1, 3, 9, 3, 3, 69, 109, 47, 487, 1895, 2003, 7309, 9803, 9527, 52211, 31213, 41521}},
+{13673, 18, 4470, {1, 1, 7, 7, 9, 15, 101, 227, 75, 501, 25, 1481, 4847, 13279, 28673, 11069, 61987, 5365}},
+{13674, 18, 4473, {1, 3, 1, 1, 25, 5, 47, 125, 97, 969, 1077, 1185, 6033, 13927, 18149, 34255, 14353, 66323}},
+{13675, 18, 4474, {1, 1, 3, 1, 25, 41, 19, 69, 385, 585, 1049, 3497, 3615, 13211, 18855, 61303, 115739, 42639}},
+{13676, 18, 4490, {1, 3, 7, 7, 13, 15, 13, 133, 497, 265, 1809, 4073, 5673, 7543, 30823, 13505, 76167, 98683}},
+{13677, 18, 4509, {1, 1, 5, 5, 3, 59, 47, 191, 419, 505, 2035, 329, 553, 1561, 27885, 39767, 102611, 12689}},
+{13678, 18, 4510, {1, 3, 7, 3, 27, 49, 27, 133, 305, 537, 385, 335, 2417, 14891, 31299, 26201, 124655, 150545}},
+{13679, 18, 4533, {1, 1, 1, 9, 7, 1, 27, 105, 347, 481, 2043, 1645, 4367, 10335, 16457, 48713, 64699, 63595}},
+{13680, 18, 4548, {1, 1, 3, 3, 7, 57, 125, 209, 299, 525, 591, 1265, 7557, 15113, 19319, 56269, 43919, 215435}},
+{13681, 18, 4558, {1, 1, 1, 11, 29, 59, 119, 245, 63, 919, 1913, 3969, 545, 1033, 20975, 61327, 36783, 124303}},
+{13682, 18, 4594, {1, 1, 7, 7, 11, 63, 45, 135, 405, 931, 753, 2559, 5475, 2107, 6437, 6055, 43497, 133571}},
+{13683, 18, 4596, {1, 3, 1, 13, 31, 39, 39, 141, 231, 83, 69, 473, 1095, 13617, 10909, 49861, 98029, 235003}},
+{13684, 18, 4603, {1, 3, 7, 13, 13, 41, 73, 107, 505, 359, 957, 1599, 7617, 1843, 25531, 63755, 96295, 167955}},
+{13685, 18, 4610, {1, 3, 3, 11, 13, 41, 61, 65, 165, 507, 1007, 1695, 91, 8781, 15017, 12063, 95331, 179853}},
+{13686, 18, 4619, {1, 3, 7, 7, 29, 19, 7, 95, 303, 641, 581, 3539, 4495, 13549, 20195, 20845, 16961, 95053}},
+{13687, 18, 4630, {1, 1, 7, 5, 15, 27, 13, 155, 345, 341, 1583, 2207, 2497, 6509, 24343, 3109, 71431, 184871}},
+{13688, 18, 4652, {1, 1, 3, 15, 31, 35, 37, 249, 71, 1005, 681, 3457, 3387, 13797, 8781, 11789, 16825, 11133}},
+{13689, 18, 4658, {1, 3, 7, 11, 5, 29, 121, 139, 77, 859, 163, 2749, 6401, 16303, 22659, 11817, 61667, 119993}},
+{13690, 18, 4682, {1, 1, 7, 11, 15, 45, 71, 87, 293, 981, 1581, 2789, 4117, 12791, 13611, 489, 74823, 71263}},
+{13691, 18, 4708, {1, 1, 3, 9, 15, 21, 59, 167, 469, 723, 1609, 2111, 6359, 10781, 1043, 51039, 24429, 14605}},
+{13692, 18, 4736, {1, 3, 3, 9, 13, 25, 1, 43, 61, 869, 1919, 601, 8003, 15841, 10141, 33187, 124991, 94205}},
+{13693, 18, 4753, {1, 1, 7, 5, 23, 13, 67, 43, 167, 667, 1743, 2523, 2245, 9287, 8115, 64995, 121371, 188321}},
+{13694, 18, 4760, {1, 1, 1, 9, 13, 19, 45, 249, 21, 751, 239, 4035, 4549, 8905, 9377, 47535, 78135, 210429}},
+{13695, 18, 4781, {1, 1, 3, 7, 5, 43, 13, 227, 75, 785, 631, 205, 3475, 9735, 17867, 61407, 75897, 51151}},
+{13696, 18, 4784, {1, 3, 3, 9, 31, 21, 11, 53, 247, 717, 1505, 3903, 3249, 3185, 29007, 48795, 43413, 158653}},
+{13697, 18, 4799, {1, 1, 5, 11, 19, 9, 37, 159, 183, 521, 743, 2877, 2291, 10317, 1211, 17951, 16335, 66439}},
+{13698, 18, 4807, {1, 1, 3, 7, 3, 41, 15, 113, 125, 391, 201, 3841, 255, 15381, 16801, 47219, 119691, 51811}},
+{13699, 18, 4808, {1, 1, 3, 1, 1, 29, 79, 181, 481, 969, 297, 625, 7449, 5813, 5915, 20011, 44853, 231933}},
+{13700, 18, 4842, {1, 1, 1, 5, 5, 49, 63, 171, 93, 107, 1083, 1277, 121, 4421, 18951, 61155, 66643, 120049}},
+{13701, 18, 4882, {1, 3, 7, 5, 25, 59, 111, 197, 459, 217, 1819, 1603, 5581, 11361, 17721, 57475, 11171, 186577}},
+{13702, 18, 4897, {1, 3, 3, 1, 25, 19, 29, 157, 25, 595, 501, 2145, 7513, 10323, 11107, 13269, 21763, 9427}},
+{13703, 18, 4900, {1, 3, 7, 3, 9, 49, 119, 117, 445, 91, 227, 1203, 6245, 9575, 30653, 65429, 64987, 81249}},
+{13704, 18, 4922, {1, 1, 5, 5, 5, 5, 77, 77, 425, 789, 467, 3931, 4815, 11195, 21939, 59513, 78547, 238035}},
+{13705, 18, 4936, {1, 3, 1, 11, 11, 29, 115, 37, 423, 997, 1231, 3987, 5057, 14533, 18005, 51513, 71851, 258137}},
+{13706, 18, 4960, {1, 3, 1, 1, 27, 31, 7, 223, 23, 59, 1465, 2045, 6677, 15707, 25101, 22269, 46995, 89141}},
+{13707, 18, 4970, {1, 1, 1, 5, 21, 7, 115, 133, 407, 373, 1495, 2551, 6947, 3309, 14903, 5683, 67345, 139381}},
+{13708, 18, 4978, {1, 1, 5, 3, 13, 31, 5, 221, 187, 9, 165, 2295, 1239, 5665, 14543, 3963, 4931, 8269}},
+{13709, 18, 4994, {1, 3, 5, 13, 15, 5, 37, 171, 419, 665, 765, 1619, 1561, 1661, 5873, 25595, 34827, 215599}},
+{13710, 18, 5003, {1, 3, 1, 15, 13, 33, 45, 107, 275, 771, 1105, 2895, 187, 5173, 21179, 35047, 50825, 176775}},
+{13711, 18, 5044, {1, 3, 7, 5, 17, 5, 59, 195, 441, 625, 1205, 207, 4703, 10627, 17123, 61785, 100779, 258597}},
+{13712, 18, 5061, {1, 1, 1, 13, 17, 3, 13, 201, 241, 657, 153, 289, 5213, 2129, 13447, 28807, 25405, 33803}},
+{13713, 18, 5107, {1, 3, 1, 9, 19, 9, 51, 133, 159, 743, 1023, 291, 7137, 6949, 30419, 13449, 111505, 212393}},
+{13714, 18, 5127, {1, 3, 5, 7, 31, 29, 79, 211, 425, 93, 1173, 1957, 6737, 1725, 30703, 43237, 119747, 157395}},
+{13715, 18, 5131, {1, 1, 7, 3, 17, 21, 39, 19, 485, 663, 19, 761, 1525, 11059, 12833, 17567, 61123, 124801}},
+{13716, 18, 5136, {1, 1, 7, 3, 7, 25, 17, 199, 413, 821, 1561, 3855, 1871, 14041, 7525, 19383, 51017, 213357}},
+{13717, 18, 5145, {1, 3, 3, 9, 25, 11, 63, 83, 217, 587, 47, 3775, 767, 9191, 5127, 9133, 97689, 122949}},
+{13718, 18, 5146, {1, 1, 1, 9, 19, 7, 89, 125, 23, 813, 1277, 2965, 1939, 1453, 6349, 53127, 109813, 63767}},
+{13719, 18, 5175, {1, 1, 5, 15, 29, 63, 117, 37, 185, 69, 1823, 2791, 4125, 11757, 14847, 15567, 126141, 185951}},
+{13720, 18, 5218, {1, 3, 7, 1, 23, 11, 15, 113, 209, 785, 229, 3207, 97, 2489, 4587, 14253, 30421, 51027}},
+{13721, 18, 5223, {1, 3, 1, 7, 7, 33, 57, 51, 219, 233, 89, 3781, 2055, 4163, 10935, 51913, 63507, 18645}},
+{13722, 18, 5248, {1, 3, 1, 7, 7, 55, 107, 187, 109, 867, 955, 139, 4979, 8627, 5835, 28761, 72061, 99413}},
+{13723, 18, 5294, {1, 1, 1, 3, 5, 59, 17, 121, 511, 29, 1009, 2875, 2459, 1817, 11741, 13869, 72543, 70485}},
+{13724, 18, 5299, {1, 1, 5, 1, 27, 19, 125, 65, 379, 803, 411, 2403, 719, 10683, 23351, 18113, 66773, 252223}},
+{13725, 18, 5301, {1, 1, 7, 9, 31, 51, 65, 233, 171, 357, 1465, 1609, 4263, 15207, 18825, 48831, 69459, 211321}},
+{13726, 18, 5311, {1, 1, 3, 3, 5, 35, 53, 245, 469, 1011, 759, 455, 4487, 9835, 10349, 61755, 73279, 186049}},
+{13727, 18, 5343, {1, 1, 7, 3, 27, 19, 105, 193, 403, 907, 295, 1445, 1867, 8867, 7821, 45309, 129069, 83953}},
+{13728, 18, 5344, {1, 1, 7, 7, 7, 51, 85, 97, 473, 837, 201, 501, 2929, 9457, 6473, 3653, 126991, 218069}},
+{13729, 18, 5396, {1, 3, 3, 5, 25, 49, 85, 223, 127, 563, 239, 1975, 119, 6029, 19349, 59533, 44173, 142229}},
+{13730, 18, 5406, {1, 1, 3, 7, 23, 11, 27, 49, 467, 701, 2037, 2367, 5829, 12533, 9641, 38629, 90505, 132013}},
+{13731, 18, 5410, {1, 1, 7, 1, 13, 25, 79, 107, 37, 331, 355, 3639, 4875, 6635, 21703, 18289, 36257, 201857}},
+{13732, 18, 5424, {1, 1, 5, 1, 3, 39, 25, 101, 199, 401, 1495, 3683, 5447, 12313, 19707, 20853, 66821, 73959}},
+{13733, 18, 5447, {1, 1, 1, 9, 15, 9, 3, 231, 479, 97, 221, 973, 839, 1757, 8759, 45625, 44691, 139803}},
+{13734, 18, 5461, {1, 1, 7, 15, 9, 51, 23, 233, 311, 83, 287, 4035, 2087, 4245, 25457, 43105, 104903, 132811}},
+{13735, 18, 5468, {1, 1, 1, 9, 5, 13, 33, 167, 363, 67, 601, 2143, 5495, 1277, 14615, 32759, 34935, 158625}},
+{13736, 18, 5475, {1, 1, 5, 11, 5, 63, 35, 49, 183, 705, 377, 2607, 2947, 10119, 15631, 60247, 99309, 25747}},
+{13737, 18, 5478, {1, 3, 7, 5, 7, 3, 127, 109, 165, 767, 1873, 3825, 441, 11957, 2581, 38309, 129623, 77451}},
+{13738, 18, 5523, {1, 3, 1, 7, 19, 53, 101, 117, 505, 363, 1399, 1015, 631, 8309, 17507, 28941, 42585, 116283}},
+{13739, 18, 5530, {1, 1, 7, 7, 9, 27, 127, 195, 499, 225, 153, 517, 3909, 9801, 3787, 32829, 6599, 190807}},
+{13740, 18, 5535, {1, 1, 5, 1, 3, 49, 125, 235, 255, 329, 909, 1685, 759, 2287, 3479, 23491, 71157, 81457}},
+{13741, 18, 5548, {1, 1, 3, 9, 19, 21, 93, 37, 259, 69, 219, 1943, 4747, 13951, 14945, 46099, 87189, 222287}},
+{13742, 18, 5559, {1, 1, 7, 5, 21, 33, 61, 227, 167, 569, 1355, 2997, 4917, 10765, 7015, 54335, 125543, 112867}},
+{13743, 18, 5580, {1, 1, 5, 3, 25, 35, 97, 23, 365, 159, 1211, 1283, 979, 8993, 21323, 6863, 46869, 36169}},
+{13744, 18, 5604, {1, 1, 7, 13, 15, 49, 45, 209, 397, 785, 47, 2307, 4749, 2735, 29525, 54921, 23321, 216197}},
+{13745, 18, 5622, {1, 1, 1, 11, 31, 23, 27, 127, 197, 595, 29, 773, 3291, 6355, 11891, 6635, 99871, 177531}},
+{13746, 18, 5641, {1, 1, 7, 11, 9, 49, 85, 59, 211, 307, 1821, 3947, 4175, 11287, 27889, 107, 46463, 237129}},
+{13747, 18, 5649, {1, 3, 3, 7, 31, 31, 9, 49, 365, 189, 1211, 943, 337, 13809, 16941, 17053, 70125, 149865}},
+{13748, 18, 5656, {1, 3, 1, 13, 9, 21, 67, 1, 365, 77, 1701, 559, 3461, 8961, 13801, 16111, 65239, 157713}},
+{13749, 18, 5671, {1, 3, 7, 13, 19, 49, 29, 233, 361, 1011, 1617, 2989, 2387, 14027, 4021, 28791, 33155, 171449}},
+{13750, 18, 5689, {1, 1, 5, 13, 31, 19, 77, 69, 49, 513, 1411, 77, 4993, 907, 23483, 20129, 29491, 138187}},
+{13751, 18, 5721, {1, 3, 3, 11, 23, 33, 19, 55, 307, 455, 1783, 3997, 6411, 3355, 8815, 39883, 124381, 49667}},
+{13752, 18, 5731, {1, 3, 3, 15, 27, 7, 25, 243, 275, 27, 23, 3039, 6497, 15975, 5877, 58611, 6317, 209119}},
+{13753, 18, 5734, {1, 3, 1, 5, 7, 21, 97, 247, 297, 181, 773, 3095, 2441, 15683, 29609, 50431, 92813, 723}},
+{13754, 18, 5738, {1, 1, 1, 3, 17, 25, 69, 171, 27, 83, 173, 163, 7915, 13547, 5915, 20275, 101613, 225081}},
+{13755, 18, 5740, {1, 1, 7, 15, 19, 13, 53, 95, 171, 889, 131, 1979, 2537, 7749, 77, 49293, 68875, 159125}},
+{13756, 18, 5748, {1, 1, 1, 5, 11, 7, 7, 29, 397, 435, 1495, 2263, 3677, 11121, 1269, 5415, 44427, 249943}},
+{13757, 18, 5791, {1, 3, 1, 5, 23, 21, 13, 185, 231, 757, 1647, 663, 1273, 11641, 25563, 46793, 54231, 113143}},
+{13758, 18, 5801, {1, 3, 3, 7, 11, 21, 83, 109, 409, 923, 1541, 2805, 1781, 6903, 9093, 37327, 60923, 167271}},
+{13759, 18, 5807, {1, 3, 7, 5, 29, 37, 87, 85, 93, 749, 875, 2869, 1023, 13303, 26865, 30971, 40863, 237075}},
+{13760, 18, 5822, {1, 1, 7, 13, 21, 25, 39, 213, 303, 265, 1251, 2963, 3819, 8507, 23239, 52625, 123375, 58553}},
+{13761, 18, 5829, {1, 1, 1, 1, 3, 1, 7, 67, 339, 583, 3, 2489, 5481, 12241, 21695, 31351, 39389, 131925}},
+{13762, 18, 5834, {1, 1, 5, 11, 11, 3, 95, 23, 133, 415, 77, 1891, 4083, 7097, 26455, 28689, 83047, 49759}},
+{13763, 18, 5847, {1, 3, 7, 15, 19, 31, 65, 189, 489, 461, 1255, 1897, 3361, 12223, 9721, 45937, 102695, 113431}},
+{13764, 18, 5854, {1, 3, 1, 5, 9, 57, 3, 225, 241, 769, 1003, 2255, 7655, 4837, 25267, 35845, 49545, 24931}},
+{13765, 18, 5878, {1, 1, 1, 1, 1, 43, 3, 217, 397, 419, 1189, 2037, 5941, 4341, 19851, 13773, 15225, 167581}},
+{13766, 18, 5882, {1, 1, 1, 9, 3, 27, 65, 49, 115, 787, 1637, 1867, 7265, 8541, 1587, 58987, 82161, 19997}},
+{13767, 18, 5919, {1, 3, 7, 11, 17, 17, 93, 103, 309, 159, 781, 3179, 5759, 7661, 5693, 48531, 127375, 141449}},
+{13768, 18, 5947, {1, 3, 7, 5, 13, 39, 79, 241, 7, 137, 219, 523, 541, 4787, 23327, 41665, 111017, 118901}},
+{13769, 18, 5981, {1, 1, 3, 15, 31, 23, 107, 221, 295, 935, 1165, 2463, 1635, 10205, 18057, 28217, 51755, 85579}},
+{13770, 18, 5982, {1, 3, 1, 11, 23, 47, 7, 59, 75, 603, 1237, 2601, 6873, 12735, 32181, 46849, 106363, 171753}},
+{13771, 18, 6025, {1, 1, 7, 13, 15, 31, 3, 113, 355, 955, 919, 1807, 7903, 5485, 1733, 64759, 15817, 93829}},
+{13772, 18, 6028, {1, 1, 3, 15, 11, 33, 95, 67, 511, 971, 343, 41, 2849, 10695, 24487, 8971, 129279, 197635}},
+{13773, 18, 6039, {1, 3, 1, 13, 13, 47, 77, 127, 193, 191, 1185, 3321, 1685, 1421, 28675, 12593, 86689, 186763}},
+{13774, 18, 6056, {1, 3, 7, 13, 1, 11, 123, 91, 287, 751, 11, 2753, 7153, 5253, 21817, 10459, 122225, 105775}},
+{13775, 18, 6064, {1, 3, 3, 13, 1, 17, 121, 13, 391, 253, 1323, 1515, 2067, 8009, 5173, 59543, 109511, 156821}},
+{13776, 18, 6073, {1, 1, 5, 3, 7, 1, 119, 151, 281, 859, 675, 2923, 6627, 16071, 24653, 41325, 118413, 191981}},
+{13777, 18, 6081, {1, 3, 5, 3, 31, 17, 57, 255, 473, 455, 203, 173, 345, 1477, 27939, 39289, 105081, 136179}},
+{13778, 18, 6088, {1, 3, 3, 7, 1, 35, 29, 81, 337, 483, 951, 955, 4343, 14827, 17427, 59919, 81883, 114289}},
+{13779, 18, 6101, {1, 3, 5, 11, 3, 39, 49, 177, 335, 57, 173, 1827, 5729, 2689, 12109, 13247, 117559, 31735}},
+{13780, 18, 6139, {1, 3, 1, 3, 9, 9, 41, 97, 37, 897, 545, 2289, 7917, 5701, 21953, 1863, 33727, 28451}},
+{13781, 18, 6142, {1, 1, 5, 3, 29, 61, 59, 129, 387, 965, 285, 3503, 1651, 10423, 24861, 31853, 38491, 155187}},
+{13782, 18, 6194, {1, 3, 1, 13, 23, 33, 13, 161, 133, 29, 1073, 1491, 3687, 6821, 24153, 3675, 33771, 230087}},
+{13783, 18, 6199, {1, 1, 7, 7, 29, 23, 23, 55, 189, 203, 641, 3391, 1217, 3199, 32531, 43103, 24007, 85613}},
+{13784, 18, 6200, {1, 1, 1, 11, 7, 57, 117, 245, 467, 861, 1265, 2827, 2761, 2817, 15679, 53223, 47245, 139871}},
+{13785, 18, 6203, {1, 1, 3, 15, 25, 1, 125, 237, 489, 1003, 515, 1117, 4427, 4877, 8685, 46211, 19889, 82491}},
+{13786, 18, 6214, {1, 1, 3, 3, 25, 3, 63, 217, 485, 699, 161, 1459, 2973, 15949, 30681, 30991, 13933, 86505}},
+{13787, 18, 6238, {1, 1, 7, 9, 27, 57, 23, 217, 401, 613, 277, 2827, 7111, 2133, 17489, 62059, 7273, 170917}},
+{13788, 18, 6241, {1, 1, 3, 13, 7, 19, 39, 63, 203, 1001, 279, 879, 4293, 10121, 969, 11571, 96427, 218969}},
+{13789, 18, 6244, {1, 3, 7, 7, 5, 21, 113, 203, 77, 971, 1351, 1097, 2581, 7519, 16049, 10565, 5055, 241561}},
+{13790, 18, 6248, {1, 3, 3, 11, 1, 21, 93, 111, 221, 31, 1245, 1499, 2289, 2299, 23457, 49221, 68879, 125029}},
+{13791, 18, 6256, {1, 1, 7, 3, 15, 19, 57, 189, 243, 785, 399, 3147, 6107, 2327, 6275, 9993, 53051, 34053}},
+{13792, 18, 6266, {1, 3, 7, 15, 5, 63, 7, 193, 115, 579, 1987, 765, 7871, 14179, 26383, 61455, 14241, 123515}},
+{13793, 18, 6271, {1, 3, 7, 13, 19, 13, 91, 225, 295, 675, 1995, 1145, 4929, 5163, 1101, 60681, 76777, 146875}},
+{13794, 18, 6275, {1, 3, 7, 15, 21, 37, 57, 89, 297, 143, 717, 4021, 3259, 8869, 21189, 39333, 125045, 94469}},
+{13795, 18, 6295, {1, 1, 5, 9, 27, 35, 69, 121, 433, 39, 889, 915, 4055, 11479, 24757, 53455, 17503, 113295}},
+{13796, 18, 6315, {1, 1, 3, 3, 23, 19, 81, 191, 33, 865, 59, 603, 2819, 4919, 22495, 25089, 73905, 44971}},
+{13797, 18, 6364, {1, 3, 3, 11, 19, 45, 125, 229, 143, 167, 867, 671, 2225, 16099, 14909, 14937, 78063, 135143}},
+{13798, 18, 6368, {1, 1, 7, 11, 21, 55, 73, 247, 211, 895, 1147, 17, 2119, 3261, 19815, 28055, 50139, 178459}},
+{13799, 18, 6377, {1, 1, 3, 1, 19, 3, 37, 221, 243, 459, 1539, 3899, 4597, 5503, 23015, 57019, 62637, 177821}},
+{13800, 18, 6400, {1, 3, 1, 3, 9, 5, 91, 3, 319, 609, 1241, 3953, 5569, 8757, 6453, 8083, 55285, 38297}},
+{13801, 18, 6430, {1, 3, 5, 15, 9, 51, 37, 53, 137, 95, 123, 157, 15, 7421, 22469, 49787, 96245, 199309}},
+{13802, 18, 6477, {1, 3, 1, 1, 29, 61, 85, 211, 437, 1013, 1251, 61, 157, 4325, 24247, 1065, 24875, 31509}},
+{13803, 18, 6480, {1, 3, 1, 13, 7, 43, 13, 171, 53, 567, 77, 3781, 5077, 6691, 32485, 24253, 83919, 159371}},
+{13804, 18, 6490, {1, 1, 1, 13, 15, 15, 19, 53, 325, 309, 53, 1857, 7361, 8831, 31751, 44749, 109265, 227875}},
+{13805, 18, 6526, {1, 3, 7, 3, 31, 19, 113, 253, 361, 697, 1137, 2029, 3673, 10323, 10455, 24935, 7325, 43673}},
+{13806, 18, 6539, {1, 3, 1, 1, 17, 31, 3, 55, 121, 967, 1701, 2171, 4393, 11937, 3987, 5139, 68913, 134233}},
+{13807, 18, 6556, {1, 1, 7, 15, 23, 37, 121, 241, 297, 419, 373, 1219, 739, 4567, 28593, 61267, 95711, 201299}},
+{13808, 18, 6584, {1, 1, 1, 9, 23, 31, 101, 243, 163, 333, 1707, 2553, 5285, 12827, 5051, 14165, 505, 253585}},
+{13809, 18, 6598, {1, 1, 1, 9, 11, 29, 81, 45, 101, 235, 1079, 4091, 1069, 3439, 23599, 6699, 71783, 236943}},
+{13810, 18, 6601, {1, 3, 7, 11, 29, 49, 99, 59, 1, 267, 887, 2941, 6717, 7501, 22549, 53393, 34569, 34671}},
+{13811, 18, 6609, {1, 3, 1, 15, 23, 13, 113, 47, 11, 79, 989, 1025, 35, 10475, 8079, 33121, 32477, 178595}},
+{13812, 18, 6612, {1, 3, 7, 1, 21, 19, 51, 31, 393, 171, 553, 2221, 7017, 8567, 21803, 51803, 83737, 196409}},
+{13813, 18, 6645, {1, 1, 3, 3, 1, 27, 117, 207, 37, 733, 2001, 2575, 4849, 5609, 743, 35987, 109993, 227663}},
+{13814, 18, 6655, {1, 1, 7, 15, 29, 47, 85, 213, 335, 633, 849, 3269, 7723, 4651, 355, 54565, 58829, 22781}},
+{13815, 18, 6679, {1, 3, 7, 5, 5, 3, 91, 243, 17, 85, 1983, 3909, 1839, 10403, 503, 28451, 3221, 215397}},
+{13816, 18, 6683, {1, 1, 1, 15, 13, 3, 9, 25, 249, 113, 1619, 2313, 6461, 2323, 14319, 59635, 9569, 220583}},
+{13817, 18, 6719, {1, 3, 5, 7, 31, 59, 41, 43, 43, 921, 647, 2141, 7011, 2749, 24711, 19067, 107895, 107145}},
+{13818, 18, 6727, {1, 1, 3, 3, 15, 63, 41, 241, 181, 729, 843, 3569, 2645, 2727, 25331, 23067, 115421, 86025}},
+{13819, 18, 6734, {1, 3, 1, 15, 11, 47, 9, 183, 341, 775, 1067, 1317, 6835, 7873, 2653, 33517, 103979, 196761}},
+{13820, 18, 6770, {1, 1, 3, 13, 29, 11, 105, 9, 49, 823, 1343, 759, 1263, 12413, 26047, 54285, 57319, 215387}},
+{13821, 18, 6776, {1, 1, 5, 13, 21, 55, 75, 149, 63, 737, 1305, 929, 4149, 2793, 24505, 11541, 74765, 8207}},
+{13822, 18, 6791, {1, 3, 5, 9, 25, 1, 43, 157, 303, 395, 301, 1561, 5963, 3501, 2259, 59777, 100953, 16051}},
+{13823, 18, 6798, {1, 3, 1, 13, 19, 25, 33, 209, 11, 95, 655, 595, 3081, 10345, 26615, 45129, 84023, 158079}},
+{13824, 18, 6800, {1, 3, 1, 9, 31, 61, 103, 203, 471, 215, 1103, 759, 1197, 3333, 15859, 36103, 31563, 5987}},
+{13825, 18, 6826, {1, 1, 1, 7, 1, 49, 121, 227, 153, 793, 1723, 1033, 6875, 6683, 2503, 57213, 97967, 120383}},
+{13826, 18, 6833, {1, 3, 7, 11, 3, 15, 35, 181, 19, 249, 755, 1385, 3297, 4665, 2761, 22717, 126199, 85065}},
+{13827, 18, 6836, {1, 3, 7, 15, 5, 45, 17, 55, 111, 597, 553, 1203, 7183, 8465, 28523, 50073, 90889, 187205}},
+{13828, 18, 6858, {1, 3, 3, 9, 31, 57, 13, 139, 291, 881, 501, 2051, 617, 5151, 28225, 44777, 31645, 6805}},
+{13829, 18, 6882, {1, 3, 5, 13, 1, 23, 107, 1, 201, 35, 1673, 2281, 7663, 1115, 25061, 59615, 127955, 169685}},
+{13830, 18, 6901, {1, 1, 3, 15, 15, 5, 17, 75, 307, 591, 1661, 855, 4239, 13359, 20027, 51871, 35241, 32769}},
+{13831, 18, 6923, {1, 1, 1, 15, 5, 23, 59, 205, 223, 103, 1889, 141, 6157, 9187, 23571, 15267, 1941, 119173}},
+{13832, 18, 6967, {1, 3, 5, 9, 27, 63, 59, 11, 279, 493, 209, 4087, 1055, 9841, 31753, 37459, 27757, 213151}},
+{13833, 18, 6979, {1, 1, 3, 11, 31, 33, 13, 87, 285, 847, 2005, 3431, 253, 15157, 31359, 45303, 114337, 42541}},
+{13834, 18, 7022, {1, 1, 1, 7, 7, 3, 17, 203, 133, 321, 241, 1323, 5639, 10953, 10069, 4941, 17077, 54493}},
+{13835, 18, 7060, {1, 1, 7, 1, 9, 5, 125, 5, 421, 609, 645, 1927, 3785, 2295, 1491, 23019, 85497, 161231}},
+{13836, 18, 7064, {1, 3, 3, 11, 19, 35, 115, 95, 353, 773, 2025, 2621, 2821, 6361, 29589, 20989, 99645, 90387}},
+{13837, 18, 7083, {1, 3, 1, 15, 23, 3, 71, 253, 467, 307, 1109, 2695, 7175, 15087, 1587, 48229, 104307, 218905}},
+{13838, 18, 7093, {1, 3, 3, 5, 17, 29, 107, 153, 371, 205, 7, 597, 7393, 2345, 20149, 47417, 37983, 200683}},
+{13839, 18, 7094, {1, 1, 7, 1, 3, 55, 113, 117, 241, 923, 1217, 3825, 2635, 8007, 12673, 9533, 7121, 3825}},
+{13840, 18, 7120, {1, 1, 1, 3, 21, 63, 25, 111, 31, 151, 67, 3735, 7833, 749, 28743, 59291, 4989, 93329}},
+{13841, 18, 7125, {1, 3, 5, 13, 31, 5, 91, 153, 235, 1019, 431, 1951, 7501, 8483, 19625, 57789, 13203, 36693}},
+{13842, 18, 7142, {1, 1, 7, 3, 15, 51, 99, 29, 403, 343, 1903, 907, 3255, 4149, 29551, 18885, 74391, 96119}},
+{13843, 18, 7151, {1, 1, 7, 11, 31, 11, 63, 213, 437, 879, 359, 555, 7549, 14269, 31489, 51001, 76857, 237305}},
+{13844, 18, 7165, {1, 1, 1, 15, 23, 21, 31, 227, 311, 273, 253, 2439, 7217, 2191, 31743, 47669, 62279, 201305}},
+{13845, 18, 7173, {1, 3, 5, 11, 3, 43, 97, 121, 363, 91, 201, 1095, 5267, 633, 19111, 36099, 23035, 205655}},
+{13846, 18, 7188, {1, 3, 1, 9, 21, 31, 39, 11, 227, 699, 473, 2109, 2757, 13821, 31181, 40493, 57279, 260085}},
+{13847, 18, 7191, {1, 1, 5, 7, 27, 57, 65, 11, 173, 709, 1139, 3735, 5291, 16053, 32579, 25275, 79865, 196033}},
+{13848, 18, 7202, {1, 1, 1, 9, 19, 35, 83, 153, 287, 207, 593, 2177, 3243, 10433, 24583, 881, 71865, 250223}},
+{13849, 18, 7216, {1, 3, 3, 9, 3, 35, 107, 3, 193, 1011, 463, 1643, 2733, 2157, 6329, 24583, 116901, 226385}},
+{13850, 18, 7219, {1, 3, 1, 11, 3, 47, 39, 33, 495, 137, 1591, 1335, 1347, 4527, 389, 43341, 80163, 5219}},
+{13851, 18, 7267, {1, 3, 3, 5, 19, 51, 121, 135, 93, 891, 13, 1339, 5187, 5005, 12823, 14465, 73845, 119685}},
+{13852, 18, 7358, {1, 3, 7, 7, 19, 1, 57, 193, 325, 49, 813, 5, 4431, 1119, 13625, 43613, 127989, 42669}},
+{13853, 18, 7383, {1, 3, 5, 15, 11, 33, 7, 45, 215, 469, 1059, 4095, 3549, 11839, 5463, 21383, 4831, 188345}},
+{13854, 18, 7387, {1, 1, 1, 13, 5, 61, 7, 161, 99, 623, 1589, 1045, 2385, 8899, 19327, 41373, 109241, 111895}},
+{13855, 18, 7396, {1, 1, 5, 7, 11, 39, 115, 41, 21, 491, 1221, 2805, 4311, 7137, 3151, 1387, 24633, 94679}},
+{13856, 18, 7408, {1, 1, 3, 7, 3, 39, 71, 175, 443, 187, 1727, 2535, 5099, 1881, 21639, 5717, 48589, 95037}},
+{13857, 18, 7432, {1, 1, 1, 11, 25, 21, 37, 227, 407, 73, 721, 3515, 381, 981, 21389, 5205, 31851, 140457}},
+{13858, 18, 7462, {1, 3, 3, 3, 27, 35, 13, 129, 457, 315, 253, 2545, 5469, 6695, 25223, 20115, 38039, 133655}},
+{13859, 18, 7480, {1, 1, 3, 11, 21, 47, 77, 231, 87, 245, 2039, 2515, 2873, 1711, 3361, 62123, 67117, 239047}},
+{13860, 18, 7488, {1, 1, 7, 7, 29, 21, 39, 175, 477, 813, 447, 1109, 7391, 14631, 4437, 42539, 13003, 75403}},
+{13861, 18, 7497, {1, 3, 1, 11, 11, 9, 119, 19, 99, 483, 61, 1883, 3415, 2137, 30415, 34519, 115191, 24437}},
+{13862, 18, 7531, {1, 1, 1, 9, 7, 47, 115, 233, 419, 427, 1605, 3821, 6243, 10861, 28495, 48265, 80811, 147701}},
+{13863, 18, 7561, {1, 3, 5, 5, 11, 61, 51, 155, 279, 463, 31, 1559, 2837, 8795, 4049, 13651, 109227, 52131}},
+{13864, 18, 7582, {1, 1, 7, 9, 25, 33, 97, 79, 477, 83, 923, 3293, 6381, 3063, 23293, 35381, 82867, 233189}},
+{13865, 18, 7591, {1, 1, 1, 9, 11, 39, 109, 189, 219, 1021, 137, 2041, 2719, 1763, 31787, 29377, 96287, 179685}},
+{13866, 18, 7612, {1, 3, 7, 5, 3, 15, 37, 179, 77, 751, 709, 893, 7705, 1563, 7843, 29843, 1107, 35919}},
+{13867, 18, 7677, {1, 3, 3, 3, 29, 17, 123, 201, 275, 487, 1979, 1361, 7523, 13783, 10129, 16877, 127049, 163221}},
+{13868, 18, 7687, {1, 1, 1, 9, 27, 35, 69, 167, 509, 133, 1073, 3773, 265, 8455, 12341, 127, 115075, 94537}},
+{13869, 18, 7701, {1, 3, 7, 9, 13, 35, 57, 83, 123, 211, 739, 253, 3907, 5405, 3229, 46837, 77483, 5915}},
+{13870, 18, 7705, {1, 1, 7, 3, 7, 27, 71, 235, 133, 803, 611, 529, 4449, 16113, 8151, 36519, 34561, 36361}},
+{13871, 18, 7712, {1, 1, 3, 1, 31, 9, 123, 85, 407, 415, 353, 3239, 673, 4641, 25883, 61117, 7669, 240851}},
+{13872, 18, 7721, {1, 1, 5, 11, 29, 9, 49, 31, 3, 249, 1769, 3325, 503, 1397, 30677, 22515, 81279, 90309}},
+{13873, 18, 7736, {1, 3, 5, 3, 15, 63, 121, 253, 421, 279, 497, 3881, 6977, 11061, 5883, 38347, 8351, 118123}},
+{13874, 18, 7756, {1, 1, 1, 13, 1, 27, 3, 91, 281, 563, 1283, 1893, 7593, 12171, 27041, 7769, 95691, 13791}},
+{13875, 18, 7777, {1, 1, 3, 3, 29, 59, 87, 153, 337, 819, 787, 2631, 1889, 13869, 29237, 57097, 91621, 4011}},
+{13876, 18, 7783, {1, 1, 1, 15, 7, 49, 1, 83, 299, 353, 131, 1635, 3723, 16209, 1061, 50669, 68083, 133443}},
+{13877, 18, 7792, {1, 3, 5, 5, 27, 17, 5, 239, 285, 831, 1487, 721, 4891, 4265, 23753, 43921, 116709, 105027}},
+{13878, 18, 7797, {1, 1, 7, 7, 5, 35, 63, 97, 215, 447, 353, 495, 8119, 12537, 9679, 58641, 65057, 21999}},
+{13879, 18, 7802, {1, 3, 7, 5, 23, 43, 69, 115, 59, 603, 493, 1665, 5003, 13607, 28491, 4439, 11855, 228183}},
+{13880, 18, 7808, {1, 3, 3, 3, 15, 35, 19, 63, 241, 357, 979, 2891, 3105, 14085, 10539, 62335, 130903, 163153}},
+{13881, 18, 7866, {1, 3, 5, 3, 23, 51, 23, 193, 129, 171, 1913, 1025, 6397, 15657, 19611, 57455, 87531, 51039}},
+{13882, 18, 7885, {1, 1, 3, 9, 1, 9, 7, 239, 87, 527, 1401, 2703, 4021, 3845, 29269, 48217, 61091, 131949}},
+{13883, 18, 7891, {1, 3, 1, 5, 17, 45, 59, 223, 287, 295, 1959, 3985, 3671, 14605, 18949, 34147, 51251, 10271}},
+{13884, 18, 7913, {1, 3, 5, 9, 5, 49, 63, 105, 43, 157, 1827, 495, 5823, 6323, 6601, 51379, 64411, 204103}},
+{13885, 18, 7936, {1, 1, 7, 1, 11, 31, 117, 9, 13, 965, 177, 1247, 2487, 9849, 20367, 49287, 2193, 235689}},
+{13886, 18, 7946, {1, 1, 3, 11, 19, 31, 23, 215, 489, 657, 801, 3937, 379, 12083, 14969, 37857, 39027, 63985}},
+{13887, 18, 7963, {1, 1, 5, 1, 9, 59, 53, 187, 341, 65, 1251, 767, 4897, 13263, 17439, 26625, 122107, 163653}},
+{13888, 18, 7996, {1, 1, 3, 13, 31, 41, 125, 253, 481, 107, 233, 2305, 3321, 7303, 28585, 12787, 83307, 31497}},
+{13889, 18, 7999, {1, 1, 3, 13, 25, 41, 55, 83, 101, 115, 549, 531, 3085, 9497, 27989, 28257, 121075, 189671}},
+{13890, 18, 8011, {1, 3, 5, 11, 13, 53, 121, 85, 355, 275, 1925, 2117, 1349, 5903, 2041, 20963, 60803, 1121}},
+{13891, 18, 8014, {1, 1, 5, 5, 13, 7, 125, 63, 311, 187, 1127, 643, 6137, 845, 23945, 9403, 451, 53027}},
+{13892, 18, 8028, {1, 1, 3, 7, 19, 31, 27, 239, 337, 61, 641, 1693, 7289, 5675, 30067, 41091, 124607, 36971}},
+{13893, 18, 8047, {1, 3, 1, 13, 25, 61, 11, 81, 165, 129, 241, 711, 5193, 13017, 30821, 35239, 110809, 60909}},
+{13894, 18, 8077, {1, 3, 3, 13, 15, 13, 71, 19, 87, 499, 1395, 1191, 1445, 2687, 4691, 16773, 114269, 186237}},
+{13895, 18, 8101, {1, 3, 3, 15, 1, 49, 33, 109, 241, 5, 431, 461, 3865, 14029, 9827, 54455, 52159, 211585}},
+{13896, 18, 8119, {1, 3, 5, 7, 31, 27, 115, 113, 367, 591, 873, 1447, 6819, 7011, 14095, 55243, 4039, 226985}},
+{13897, 18, 8125, {1, 1, 7, 3, 1, 19, 69, 239, 417, 833, 1867, 3111, 2617, 12781, 5531, 17345, 75717, 139667}},
+{13898, 18, 8140, {1, 1, 5, 11, 11, 63, 23, 141, 221, 897, 1269, 2185, 6057, 8865, 20449, 58255, 27073, 158305}},
+{13899, 18, 8152, {1, 3, 3, 5, 23, 23, 121, 39, 457, 935, 691, 2329, 7055, 2821, 12669, 28713, 82321, 245783}},
+{13900, 18, 8209, {1, 1, 1, 9, 27, 9, 35, 23, 139, 823, 703, 917, 1281, 12155, 11681, 26083, 119445, 181489}},
+{13901, 18, 8212, {1, 1, 3, 7, 27, 21, 35, 243, 17, 633, 1665, 3419, 6301, 16099, 17477, 24983, 128455, 127501}},
+{13902, 18, 8231, {1, 3, 1, 1, 17, 19, 59, 165, 487, 985, 597, 689, 7103, 14475, 6985, 29755, 115977, 105943}},
+{13903, 18, 8258, {1, 1, 5, 5, 23, 41, 67, 175, 3, 571, 1501, 3315, 6111, 1847, 28975, 54117, 66605, 69997}},
+{13904, 18, 8275, {1, 3, 5, 5, 13, 37, 113, 75, 383, 297, 1187, 2055, 3433, 14651, 30393, 29647, 126403, 32265}},
+{13905, 18, 8303, {1, 1, 3, 5, 31, 29, 25, 169, 465, 219, 81, 2019, 4255, 6003, 7425, 53269, 31105, 211937}},
+{13906, 18, 8308, {1, 3, 7, 11, 13, 7, 11, 195, 327, 883, 1295, 3721, 1197, 7585, 5693, 993, 125017, 12007}},
+{13907, 18, 8312, {1, 3, 3, 7, 5, 37, 71, 37, 63, 651, 669, 3445, 3959, 249, 10599, 22329, 107701, 107729}},
+{13908, 18, 8345, {1, 1, 1, 9, 7, 47, 21, 181, 395, 345, 757, 481, 2759, 8157, 19847, 55743, 63137, 224765}},
+{13909, 18, 8346, {1, 3, 5, 9, 29, 3, 61, 35, 271, 157, 549, 843, 2907, 91, 16325, 4241, 94495, 78861}},
+{13910, 18, 8370, {1, 3, 1, 9, 17, 11, 53, 243, 49, 911, 1193, 793, 901, 3727, 21849, 33987, 565, 154171}},
+{13911, 18, 8402, {1, 1, 5, 1, 9, 5, 89, 81, 65, 111, 781, 3775, 591, 4987, 29833, 58159, 7253, 206447}},
+{13912, 18, 8411, {1, 3, 1, 7, 3, 59, 77, 83, 173, 545, 103, 2541, 8095, 10797, 11111, 62351, 88827, 55081}},
+{13913, 18, 8414, {1, 1, 3, 11, 29, 37, 19, 47, 145, 19, 513, 3269, 2205, 5317, 19207, 38051, 5413, 78089}},
+{13914, 18, 8424, {1, 1, 5, 9, 21, 57, 75, 249, 21, 879, 1377, 3407, 6123, 11917, 12493, 44873, 113539, 114717}},
+{13915, 18, 8435, {1, 3, 3, 9, 7, 55, 121, 57, 491, 39, 1561, 2625, 639, 13553, 1159, 43071, 68869, 248837}},
+{13916, 18, 8452, {1, 1, 1, 11, 25, 19, 107, 239, 171, 1001, 69, 4095, 49, 9569, 22613, 59865, 54959, 70031}},
+{13917, 18, 8462, {1, 1, 3, 13, 27, 15, 105, 205, 205, 581, 1965, 1535, 6531, 15935, 7623, 33695, 9317, 44257}},
+{13918, 18, 8479, {1, 1, 1, 3, 3, 51, 115, 185, 315, 763, 211, 339, 7083, 4895, 23277, 14165, 101731, 218903}},
+{13919, 18, 8509, {1, 1, 3, 13, 29, 1, 69, 55, 423, 781, 183, 1417, 151, 14507, 5217, 27757, 52447, 145913}},
+{13920, 18, 8515, {1, 3, 1, 11, 29, 39, 29, 151, 85, 387, 885, 507, 133, 9819, 12627, 30951, 79839, 206267}},
+{13921, 18, 8522, {1, 3, 3, 7, 1, 53, 99, 141, 91, 51, 143, 1751, 3989, 6811, 7339, 52141, 43473, 18615}},
+{13922, 18, 8541, {1, 3, 3, 15, 27, 11, 29, 37, 387, 655, 2019, 1135, 3619, 12995, 12755, 26063, 109419, 103875}},
+{13923, 18, 8560, {1, 3, 3, 13, 31, 15, 93, 231, 195, 261, 1055, 2363, 1123, 3927, 6907, 365, 27043, 157049}},
+{13924, 18, 8563, {1, 1, 1, 15, 7, 29, 105, 199, 507, 437, 117, 2963, 7801, 6291, 19261, 30377, 92205, 20723}},
+{13925, 18, 8585, {1, 1, 1, 9, 29, 19, 75, 189, 3, 387, 1491, 2291, 7739, 12993, 11835, 10873, 54583, 207963}},
+{13926, 18, 8594, {1, 3, 7, 3, 23, 11, 25, 105, 57, 713, 1291, 3293, 4693, 13859, 27541, 31529, 65929, 245143}},
+{13927, 18, 8596, {1, 1, 7, 7, 19, 13, 19, 189, 253, 337, 351, 1751, 6173, 12207, 24483, 31381, 82035, 157143}},
+{13928, 18, 8603, {1, 3, 3, 11, 11, 49, 117, 177, 301, 417, 855, 2433, 5619, 7339, 30361, 29251, 20411, 184981}},
+{13929, 18, 8610, {1, 1, 1, 1, 11, 55, 77, 99, 209, 781, 1193, 2841, 783, 1485, 19413, 52255, 19529, 253927}},
+{13930, 18, 8647, {1, 3, 1, 3, 15, 49, 85, 191, 389, 411, 479, 341, 4985, 6193, 19099, 11497, 103285, 162333}},
+{13931, 18, 8661, {1, 3, 1, 3, 11, 31, 71, 91, 357, 615, 2007, 3601, 5393, 8079, 16811, 54127, 26049, 116341}},
+{13932, 18, 8662, {1, 1, 3, 15, 9, 39, 121, 53, 43, 617, 905, 3629, 6327, 13453, 1435, 24113, 7523, 228523}},
+{13933, 18, 8672, {1, 3, 5, 11, 21, 51, 11, 125, 33, 935, 1069, 2807, 4951, 13261, 17611, 38779, 62203, 135759}},
+{13934, 18, 8690, {1, 1, 1, 13, 29, 59, 53, 245, 219, 423, 809, 1109, 7255, 14679, 25247, 43235, 129565, 72649}},
+{13935, 18, 8696, {1, 3, 5, 7, 27, 29, 119, 91, 297, 407, 187, 2829, 5637, 13851, 14073, 461, 64081, 33971}},
+{13936, 18, 8739, {1, 1, 5, 11, 15, 27, 29, 233, 487, 859, 1021, 3117, 1439, 16021, 31315, 35775, 117363, 131635}},
+{13937, 18, 8783, {1, 1, 5, 3, 3, 1, 91, 229, 327, 777, 393, 3853, 3455, 1785, 13749, 25173, 51575, 167237}},
+{13938, 18, 8811, {1, 3, 7, 9, 27, 7, 15, 71, 283, 71, 1783, 1357, 5581, 3143, 26075, 47751, 71001, 157107}},
+{13939, 18, 8813, {1, 3, 3, 7, 23, 9, 69, 21, 333, 223, 1735, 1057, 8091, 1927, 8507, 40901, 40233, 164115}},
+{13940, 18, 8821, {1, 3, 7, 3, 11, 49, 29, 81, 215, 289, 1137, 765, 6385, 5935, 3435, 11991, 30867, 60745}},
+{13941, 18, 8856, {1, 1, 1, 1, 7, 39, 33, 173, 225, 533, 1927, 3607, 1059, 8779, 2649, 6801, 103963, 167471}},
+{13942, 18, 8877, {1, 3, 3, 15, 27, 51, 107, 3, 195, 87, 739, 1425, 747, 1501, 22245, 59233, 124867, 79753}},
+{13943, 18, 8885, {1, 1, 3, 3, 13, 41, 125, 101, 225, 749, 221, 2735, 6441, 11353, 3943, 35329, 53437, 149063}},
+{13944, 18, 8897, {1, 3, 3, 15, 3, 53, 75, 77, 1, 907, 573, 1909, 363, 6913, 559, 58489, 1053, 25513}},
+{13945, 18, 8898, {1, 1, 7, 11, 7, 15, 91, 155, 447, 555, 473, 3625, 7529, 16307, 32241, 64077, 46943, 85717}},
+{13946, 18, 8934, {1, 1, 1, 13, 9, 61, 91, 41, 101, 107, 1081, 2511, 2881, 14095, 3861, 22771, 32687, 77287}},
+{13947, 18, 8955, {1, 3, 3, 7, 21, 3, 51, 177, 203, 861, 1507, 1177, 2369, 11735, 1667, 28607, 97671, 123263}},
+{13948, 18, 8972, {1, 1, 1, 3, 5, 57, 13, 127, 353, 65, 663, 3849, 3579, 5521, 11765, 63427, 76349, 102517}},
+{13949, 18, 8977, {1, 1, 7, 11, 27, 55, 79, 249, 397, 77, 1543, 3787, 4889, 11145, 18691, 62899, 66425, 116195}},
+{13950, 18, 9038, {1, 1, 1, 3, 5, 3, 1, 143, 73, 999, 2013, 2001, 4001, 6563, 30811, 61445, 2645, 203631}},
+{13951, 18, 9045, {1, 1, 1, 15, 1, 49, 35, 61, 493, 101, 1407, 2211, 7467, 12321, 15901, 15479, 62939, 14643}},
+{13952, 18, 9071, {1, 1, 3, 11, 21, 33, 123, 95, 449, 355, 1501, 1627, 1411, 6183, 17457, 2199, 96313, 25023}},
+{13953, 18, 9085, {1, 1, 5, 5, 13, 49, 73, 203, 83, 3, 137, 119, 3001, 10685, 18231, 60727, 31785, 158605}},
+{13954, 18, 9110, {1, 3, 1, 11, 23, 19, 123, 9, 269, 501, 2005, 3695, 3327, 5353, 12619, 12987, 18213, 29355}},
+{13955, 18, 9120, {1, 3, 1, 5, 1, 25, 99, 197, 327, 575, 773, 2009, 6653, 1807, 20381, 55725, 124359, 176893}},
+{13956, 18, 9157, {1, 1, 7, 15, 27, 9, 81, 175, 73, 727, 1907, 1237, 4983, 16123, 16479, 2283, 57805, 13593}},
+{13957, 18, 9164, {1, 1, 3, 13, 7, 13, 13, 139, 283, 721, 487, 1821, 4257, 5105, 8057, 27193, 46857, 169927}},
+{13958, 18, 9185, {1, 1, 5, 5, 29, 5, 81, 211, 441, 685, 981, 3097, 6253, 10673, 12253, 54943, 69401, 147769}},
+{13959, 18, 9203, {1, 3, 3, 1, 13, 35, 73, 145, 139, 781, 37, 803, 3607, 4327, 1153, 11325, 131025, 168729}},
+{13960, 18, 9235, {1, 3, 1, 13, 17, 41, 19, 59, 23, 561, 315, 719, 3325, 275, 12715, 59843, 16597, 81691}},
+{13961, 18, 9278, {1, 3, 1, 11, 1, 53, 11, 237, 363, 345, 331, 129, 6885, 3105, 12487, 53803, 8897, 193777}},
+{13962, 18, 9290, {1, 3, 7, 15, 3, 53, 55, 101, 389, 839, 413, 2851, 3989, 12857, 25723, 16595, 94145, 193049}},
+{13963, 18, 9292, {1, 3, 1, 7, 15, 31, 3, 115, 197, 753, 1035, 1369, 4925, 4497, 1641, 63743, 127089, 114097}},
+{13964, 18, 9319, {1, 3, 5, 5, 23, 1, 35, 99, 277, 769, 895, 581, 6969, 15339, 10309, 27101, 22611, 86179}},
+{13965, 18, 9334, {1, 1, 1, 11, 19, 17, 45, 35, 257, 313, 815, 1469, 3651, 15101, 22775, 51729, 75401, 123653}},
+{13966, 18, 9362, {1, 3, 1, 15, 5, 11, 83, 141, 373, 935, 1123, 1849, 1267, 15427, 10615, 63303, 109771, 188601}},
+{13967, 18, 9387, {1, 3, 5, 3, 29, 23, 79, 193, 261, 29, 1857, 789, 4359, 14211, 22181, 64901, 129089, 65587}},
+{13968, 18, 9404, {1, 3, 1, 3, 29, 15, 19, 239, 497, 771, 239, 2853, 2391, 8153, 31899, 53759, 127219, 78833}},
+{13969, 18, 9407, {1, 1, 7, 7, 5, 57, 9, 93, 69, 993, 193, 3629, 5761, 9339, 28073, 50035, 81635, 83119}},
+{13970, 18, 9410, {1, 1, 5, 13, 7, 35, 79, 247, 43, 1011, 1189, 2881, 1963, 8889, 9929, 50043, 112581, 224139}},
+{13971, 18, 9422, {1, 3, 3, 7, 15, 63, 85, 33, 107, 37, 45, 1271, 4735, 1151, 19793, 6589, 50875, 185061}},
+{13972, 18, 9478, {1, 3, 1, 15, 1, 63, 1, 201, 207, 179, 67, 3703, 2629, 10517, 1, 39645, 119733, 6449}},
+{13973, 18, 9512, {1, 3, 5, 1, 3, 7, 97, 101, 233, 71, 255, 3767, 8127, 8041, 25001, 7601, 129595, 131657}},
+{13974, 18, 9535, {1, 1, 7, 1, 25, 29, 105, 25, 267, 191, 267, 3141, 4445, 5043, 25203, 32055, 11035, 229031}},
+{13975, 18, 9604, {1, 1, 1, 13, 3, 1, 1, 147, 63, 259, 1171, 401, 6289, 13577, 28129, 1349, 85027, 178123}},
+{13976, 18, 9616, {1, 1, 1, 13, 1, 59, 109, 95, 49, 309, 1141, 1355, 3415, 11237, 21619, 12039, 1795, 57775}},
+{13977, 18, 9622, {1, 3, 1, 11, 19, 3, 51, 227, 277, 49, 703, 2701, 515, 8893, 20163, 65297, 114781, 225687}},
+{13978, 18, 9631, {1, 3, 7, 11, 19, 47, 121, 199, 173, 905, 1903, 1781, 2425, 13381, 25843, 23279, 87701, 10723}},
+{13979, 18, 9656, {1, 3, 1, 13, 7, 21, 17, 15, 85, 241, 119, 2361, 7921, 6077, 955, 34221, 78179, 35511}},
+{13980, 18, 9710, {1, 1, 7, 11, 9, 1, 1, 29, 445, 557, 241, 959, 6077, 3547, 30987, 48129, 79699, 236611}},
+{13981, 18, 9721, {1, 3, 1, 15, 13, 29, 57, 117, 347, 719, 1435, 307, 5209, 4009, 10517, 3373, 67667, 260101}},
+{13982, 18, 9728, {1, 1, 7, 13, 11, 41, 17, 143, 467, 993, 779, 3991, 623, 8915, 21615, 56477, 59721, 164241}},
+{13983, 18, 9733, {1, 1, 3, 7, 15, 37, 53, 33, 395, 547, 1815, 2517, 6575, 14035, 1, 10919, 25467, 117521}},
+{13984, 18, 9738, {1, 1, 3, 9, 17, 47, 45, 3, 509, 53, 1245, 883, 7917, 15445, 4169, 49637, 90933, 109469}},
+{13985, 18, 9774, {1, 3, 1, 3, 27, 37, 3, 95, 31, 665, 701, 1979, 3735, 3257, 18943, 41201, 95721, 69451}},
+{13986, 18, 9791, {1, 1, 1, 15, 19, 49, 61, 5, 115, 801, 805, 2723, 1387, 13165, 20717, 40767, 88857, 28207}},
+{13987, 18, 9803, {1, 1, 5, 9, 21, 25, 23, 179, 59, 29, 547, 1829, 4411, 6689, 22363, 43975, 52259, 187563}},
+{13988, 18, 9805, {1, 1, 5, 11, 13, 31, 97, 131, 135, 415, 53, 4015, 3629, 6613, 25541, 47221, 66483, 224545}},
+{13989, 18, 9817, {1, 3, 1, 11, 19, 13, 65, 95, 381, 759, 1319, 2997, 6321, 9203, 24483, 9925, 10799, 117119}},
+{13990, 18, 9823, {1, 3, 5, 13, 27, 17, 39, 225, 199, 125, 1125, 2673, 6787, 8861, 13139, 13849, 65459, 40183}},
+{13991, 18, 9839, {1, 1, 5, 3, 17, 55, 23, 75, 457, 959, 1507, 1267, 6857, 16141, 1889, 10779, 41331, 166075}},
+{13992, 18, 9847, {1, 3, 1, 15, 7, 55, 109, 59, 241, 431, 1281, 183, 1029, 14617, 4003, 41871, 36007, 129617}},
+{13993, 18, 9854, {1, 3, 1, 1, 27, 61, 79, 93, 217, 251, 671, 989, 7031, 10035, 15455, 13685, 95471, 997}},
+{13994, 18, 9863, {1, 1, 3, 13, 1, 5, 125, 179, 357, 537, 1303, 2653, 7319, 2075, 3861, 11743, 89659, 221705}},
+{13995, 18, 9872, {1, 1, 1, 7, 3, 55, 5, 201, 153, 639, 835, 1913, 3331, 10727, 30365, 15133, 67911, 17851}},
+{13996, 18, 9884, {1, 1, 3, 13, 21, 1, 67, 71, 265, 43, 279, 2009, 873, 4447, 32001, 50783, 76613, 63919}},
+{13997, 18, 9935, {1, 1, 3, 11, 17, 43, 19, 195, 233, 17, 1855, 1227, 3435, 4313, 6417, 51019, 130091, 124947}},
+{13998, 18, 9937, {1, 1, 7, 9, 19, 9, 95, 87, 297, 817, 1217, 3637, 2371, 7073, 387, 62121, 43507, 93927}},
+{13999, 18, 9974, {1, 3, 5, 13, 1, 15, 29, 123, 137, 425, 531, 2659, 2077, 1345, 2803, 49469, 29031, 170825}},
+{14000, 18, 9980, {1, 1, 5, 7, 15, 13, 119, 231, 139, 673, 1105, 2355, 3023, 4437, 17491, 47367, 12751, 183319}},
+{14001, 18, 10003, {1, 1, 5, 15, 19, 5, 125, 121, 509, 539, 473, 2087, 4421, 4205, 23457, 34481, 111231, 145035}},
+{14002, 18, 10015, {1, 3, 7, 5, 23, 21, 85, 23, 415, 715, 1579, 3447, 2373, 233, 19401, 54869, 15977, 138119}},
+{14003, 18, 10016, {1, 1, 3, 11, 21, 1, 37, 127, 101, 943, 79, 2119, 5679, 10749, 16209, 16715, 29421, 259735}},
+{14004, 18, 10066, {1, 3, 7, 7, 23, 25, 1, 73, 505, 979, 535, 87, 4165, 9353, 20075, 57597, 74651, 22133}},
+{14005, 18, 10093, {1, 1, 7, 3, 11, 19, 75, 213, 293, 15, 1981, 1259, 5455, 2897, 18861, 6317, 10339, 123967}},
+{14006, 18, 10118, {1, 3, 1, 3, 29, 5, 93, 169, 51, 519, 1649, 2789, 1251, 8359, 11489, 62443, 91549, 148357}},
+{14007, 18, 10132, {1, 3, 3, 13, 5, 47, 39, 163, 341, 755, 737, 2335, 2389, 8351, 26193, 58111, 18425, 129313}},
+{14008, 18, 10135, {1, 1, 3, 1, 31, 49, 101, 69, 345, 291, 1257, 1801, 1613, 1479, 4403, 21307, 44947, 68591}},
+{14009, 18, 10151, {1, 3, 3, 9, 5, 23, 65, 65, 187, 709, 883, 2199, 1037, 8679, 31527, 23561, 92225, 254215}},
+{14010, 18, 10158, {1, 3, 7, 7, 23, 13, 87, 209, 163, 705, 1199, 3007, 5469, 2453, 2691, 17841, 97045, 174149}},
+{14011, 18, 10169, {1, 1, 1, 9, 5, 35, 21, 91, 145, 559, 131, 3911, 1777, 8225, 6077, 58223, 100827, 3641}},
+{14012, 18, 10172, {1, 1, 5, 5, 7, 5, 31, 189, 117, 785, 1493, 3899, 471, 10971, 4607, 21063, 67225, 195367}},
+{14013, 18, 10180, {1, 1, 7, 5, 31, 61, 63, 163, 417, 655, 2033, 1255, 1139, 6867, 28655, 55295, 100519, 166629}},
+{14014, 18, 10187, {1, 3, 3, 3, 7, 35, 83, 55, 7, 607, 253, 915, 6801, 7505, 15929, 16829, 78469, 150947}},
+{14015, 18, 10189, {1, 3, 3, 9, 29, 3, 127, 235, 347, 3, 193, 1547, 8073, 14963, 20351, 28951, 53855, 261375}},
+{14016, 18, 10192, {1, 1, 7, 3, 31, 19, 75, 87, 23, 419, 75, 1677, 2371, 8875, 31993, 4465, 76085, 86499}},
+{14017, 18, 10197, {1, 3, 5, 7, 1, 51, 47, 161, 415, 521, 1099, 1295, 2545, 15167, 13983, 7347, 60631, 4089}},
+{14018, 18, 10211, {1, 1, 1, 9, 7, 59, 71, 187, 441, 273, 769, 2649, 3261, 12661, 23045, 32035, 104573, 120589}},
+{14019, 18, 10214, {1, 3, 7, 13, 23, 51, 113, 205, 443, 291, 475, 2961, 7615, 105, 22099, 6045, 22667, 65515}},
+{14020, 18, 10256, {1, 1, 5, 11, 1, 1, 23, 231, 413, 371, 1285, 2695, 2751, 4235, 15779, 1903, 24469, 259157}},
+{14021, 18, 10278, {1, 3, 3, 7, 7, 47, 87, 105, 311, 251, 573, 3221, 5757, 11107, 11161, 8809, 14467, 33153}},
+{14022, 18, 10290, {1, 1, 7, 1, 31, 49, 51, 31, 305, 315, 547, 1159, 2741, 3773, 13299, 40115, 62523, 108487}},
+{14023, 18, 10301, {1, 3, 1, 11, 11, 43, 33, 213, 107, 467, 1509, 4081, 4723, 2409, 1447, 42759, 64717, 161991}},
+{14024, 18, 10310, {1, 3, 7, 3, 31, 23, 25, 159, 95, 721, 1981, 3659, 4819, 10119, 25451, 10165, 31281, 238319}},
+{14025, 18, 10344, {1, 3, 1, 5, 19, 27, 67, 125, 481, 585, 43, 3697, 4997, 581, 6439, 33477, 115023, 51759}},
+{14026, 18, 10473, {1, 3, 7, 7, 15, 53, 89, 173, 369, 365, 91, 1583, 4611, 7189, 30383, 47397, 73657, 158695}},
+{14027, 18, 10474, {1, 1, 1, 15, 1, 21, 125, 13, 243, 729, 1397, 2451, 3233, 15593, 2815, 56215, 22685, 167343}},
+{14028, 18, 10482, {1, 3, 1, 13, 13, 29, 119, 223, 51, 695, 273, 2381, 4431, 4891, 29875, 49511, 111003, 174413}},
+{14029, 18, 10499, {1, 3, 3, 15, 9, 13, 19, 177, 371, 957, 255, 115, 4701, 6089, 7237, 17077, 87949, 3111}},
+{14030, 18, 10525, {1, 1, 7, 11, 29, 49, 59, 201, 145, 219, 1159, 3863, 715, 10489, 25883, 56445, 122103, 149877}},
+{14031, 18, 10532, {1, 3, 1, 13, 15, 51, 91, 109, 433, 45, 2045, 3121, 1109, 14713, 2667, 40463, 52185, 64743}},
+{14032, 18, 10535, {1, 3, 3, 7, 21, 31, 7, 155, 347, 305, 1557, 1311, 3315, 1363, 403, 62063, 114195, 44623}},
+{14033, 18, 10556, {1, 3, 5, 11, 9, 11, 11, 245, 49, 21, 239, 3043, 3525, 1055, 21891, 19153, 123689, 170195}},
+{14034, 18, 10568, {1, 1, 1, 11, 17, 51, 83, 249, 483, 489, 1063, 469, 6153, 15551, 13783, 27945, 103775, 68175}},
+{14035, 18, 10579, {1, 3, 3, 13, 11, 61, 107, 113, 503, 819, 1593, 2851, 6711, 14623, 3709, 10931, 8743, 62321}},
+{14036, 18, 10586, {1, 1, 5, 15, 5, 37, 23, 131, 329, 499, 1765, 1273, 819, 11573, 3307, 46933, 22087, 173459}},
+{14037, 18, 10609, {1, 1, 1, 3, 31, 5, 49, 57, 239, 981, 1863, 3233, 2727, 7389, 7923, 63259, 62873, 113607}},
+{14038, 18, 10612, {1, 1, 7, 7, 11, 27, 119, 137, 115, 211, 1239, 2153, 2579, 11501, 747, 31141, 129793, 151589}},
+{14039, 18, 10650, {1, 3, 3, 9, 9, 55, 121, 199, 91, 835, 521, 2433, 8123, 2045, 32553, 48993, 9935, 220537}},
+{14040, 18, 10665, {1, 3, 7, 11, 15, 57, 53, 145, 299, 623, 691, 1557, 785, 15851, 27075, 5983, 18043, 22241}},
+{14041, 18, 10685, {1, 1, 3, 1, 1, 57, 57, 195, 381, 913, 167, 333, 5541, 2323, 17001, 34817, 30795, 144051}},
+{14042, 18, 10686, {1, 3, 3, 3, 31, 1, 83, 31, 91, 855, 195, 3449, 8057, 11061, 29089, 1597, 127581, 189033}},
+{14043, 18, 10688, {1, 3, 1, 1, 21, 59, 113, 179, 13, 523, 629, 3693, 7155, 893, 17449, 46535, 18051, 9191}},
+{14044, 18, 10711, {1, 1, 1, 3, 27, 19, 75, 229, 181, 653, 1849, 501, 5871, 14769, 27461, 59193, 115013, 72227}},
+{14045, 18, 10728, {1, 3, 3, 13, 17, 41, 111, 107, 453, 299, 1699, 2871, 2955, 4215, 13919, 19785, 30339, 148445}},
+{14046, 18, 10748, {1, 3, 3, 11, 5, 19, 21, 87, 173, 439, 1651, 2393, 4137, 16285, 16093, 22953, 105663, 226575}},
+{14047, 18, 10751, {1, 3, 5, 7, 19, 61, 101, 251, 295, 89, 1695, 1359, 5797, 8587, 18753, 65223, 51079, 96169}},
+{14048, 18, 10781, {1, 1, 1, 5, 3, 1, 79, 63, 221, 601, 1385, 1963, 4601, 15217, 4861, 58295, 61043, 88523}},
+{14049, 18, 10805, {1, 3, 3, 7, 31, 63, 73, 177, 455, 487, 1009, 2103, 4753, 3143, 10121, 36509, 24753, 230869}},
+{14050, 18, 10823, {1, 1, 5, 1, 17, 27, 103, 63, 475, 665, 1189, 3513, 89, 2669, 1227, 20635, 121549, 248851}},
+{14051, 18, 10838, {1, 1, 3, 7, 25, 19, 117, 243, 337, 207, 903, 3751, 3309, 11955, 12651, 25359, 83419, 19701}},
+{14052, 18, 10857, {1, 1, 7, 15, 19, 21, 3, 235, 289, 185, 1175, 2291, 4003, 7753, 4775, 65321, 48957, 220261}},
+{14053, 18, 10865, {1, 3, 5, 11, 23, 21, 107, 65, 117, 329, 1085, 3555, 1183, 15241, 32663, 50985, 66753, 38023}},
+{14054, 18, 10872, {1, 1, 7, 9, 11, 49, 65, 17, 291, 435, 1221, 3829, 5467, 5181, 19891, 7091, 80673, 90495}},
+{14055, 18, 10893, {1, 1, 1, 15, 17, 47, 119, 173, 297, 477, 859, 3661, 8081, 8257, 20841, 55123, 11231, 193669}},
+{14056, 18, 10899, {1, 1, 7, 7, 27, 11, 119, 109, 199, 727, 1569, 3749, 4067, 11675, 30213, 58091, 64303, 92785}},
+{14057, 18, 10917, {1, 3, 7, 15, 15, 39, 101, 149, 299, 449, 1017, 723, 7731, 7929, 22465, 61583, 69851, 150507}},
+{14058, 18, 10935, {1, 3, 5, 15, 5, 13, 97, 127, 21, 673, 353, 3885, 5761, 11443, 10089, 23701, 85879, 42217}},
+{14059, 18, 11001, {1, 3, 1, 5, 27, 55, 31, 167, 69, 453, 925, 555, 5135, 2759, 27077, 14497, 94333, 108729}},
+{14060, 18, 11072, {1, 1, 7, 15, 11, 55, 9, 241, 55, 611, 149, 2605, 653, 1631, 15059, 6349, 12321, 124561}},
+{14061, 18, 11089, {1, 1, 1, 9, 3, 11, 95, 67, 443, 103, 1687, 2667, 4567, 4271, 15601, 27859, 4757, 53289}},
+{14062, 18, 11090, {1, 1, 5, 9, 23, 21, 1, 125, 105, 975, 1879, 1821, 5273, 7079, 25009, 10471, 29119, 73249}},
+{14063, 18, 11108, {1, 1, 7, 1, 31, 61, 17, 23, 485, 565, 1325, 1559, 4131, 751, 2071, 4719, 15925, 101207}},
+{14064, 18, 11117, {1, 1, 5, 5, 13, 53, 13, 93, 149, 139, 1429, 3605, 3545, 11193, 14139, 6093, 115727, 183105}},
+{14065, 18, 11136, {1, 1, 1, 7, 15, 37, 51, 77, 177, 967, 405, 563, 3047, 8499, 26787, 27609, 23613, 239679}},
+{14066, 18, 11148, {1, 1, 1, 5, 27, 37, 1, 129, 197, 133, 1329, 3673, 3143, 1059, 19209, 39027, 43787, 42821}},
+{14067, 18, 11153, {1, 3, 7, 5, 5, 47, 105, 121, 219, 777, 1569, 1359, 1955, 13207, 14895, 7829, 40499, 182911}},
+{14068, 18, 11181, {1, 3, 5, 7, 11, 41, 41, 155, 245, 383, 405, 2415, 5809, 5117, 31523, 16927, 76785, 113731}},
+{14069, 18, 11190, {1, 3, 3, 9, 9, 21, 13, 197, 409, 931, 305, 1129, 865, 12961, 5239, 35823, 82565, 226765}},
+{14070, 18, 11201, {1, 1, 5, 3, 17, 27, 59, 79, 359, 601, 979, 1355, 1657, 10479, 4741, 36391, 111527, 105139}},
+{14071, 18, 11204, {1, 3, 5, 9, 13, 43, 31, 1, 309, 723, 1049, 803, 1653, 2551, 26317, 49731, 67799, 129225}},
+{14072, 18, 11216, {1, 1, 5, 3, 1, 39, 95, 243, 499, 809, 1515, 981, 585, 7907, 16801, 43381, 117537, 99787}},
+{14073, 18, 11237, {1, 1, 5, 5, 25, 23, 15, 127, 33, 799, 647, 2923, 7805, 2681, 14773, 42751, 106861, 119657}},
+{14074, 18, 11259, {1, 3, 1, 1, 1, 47, 11, 179, 179, 659, 1061, 2511, 3601, 7107, 27887, 48427, 40559, 106043}},
+{14075, 18, 11279, {1, 1, 7, 11, 5, 33, 115, 195, 431, 383, 1571, 3485, 5741, 5775, 14891, 26389, 71723, 198861}},
+{14076, 18, 11282, {1, 1, 5, 5, 11, 55, 37, 57, 381, 607, 2017, 1981, 6113, 3771, 8827, 13335, 88587, 102791}},
+{14077, 18, 11304, {1, 1, 1, 11, 29, 23, 73, 149, 405, 581, 721, 281, 5315, 4675, 13013, 39003, 20335, 109855}},
+{14078, 18, 11312, {1, 1, 7, 15, 17, 57, 39, 51, 403, 979, 1543, 1235, 797, 5949, 26647, 15125, 33255, 152861}},
+{14079, 18, 11332, {1, 1, 5, 3, 25, 27, 7, 147, 257, 163, 1297, 2289, 693, 7771, 6341, 22323, 1653, 177669}},
+{14080, 18, 11341, {1, 1, 3, 9, 1, 39, 47, 231, 15, 705, 897, 3943, 6281, 6679, 21695, 29553, 39509, 83135}},
+{14081, 18, 11354, {1, 3, 3, 15, 17, 43, 15, 195, 31, 501, 529, 3117, 6031, 12101, 30687, 52465, 66171, 149591}},
+{14082, 18, 11356, {1, 1, 3, 5, 13, 17, 63, 41, 303, 671, 1225, 1761, 6159, 3203, 23611, 18309, 115027, 116325}},
+{14083, 18, 11365, {1, 1, 5, 13, 17, 5, 97, 155, 479, 525, 1403, 4063, 8167, 6443, 20627, 41399, 26897, 102841}},
+{14084, 18, 11377, {1, 3, 5, 9, 9, 27, 59, 177, 453, 659, 765, 431, 4209, 12679, 10719, 22473, 81597, 20057}},
+{14085, 18, 11417, {1, 3, 3, 1, 3, 37, 91, 97, 159, 845, 519, 2603, 6979, 6711, 29781, 53639, 103357, 111671}},
+{14086, 18, 11427, {1, 1, 3, 3, 25, 15, 27, 9, 503, 719, 153, 3071, 281, 5341, 32595, 13069, 6461, 160319}},
+{14087, 18, 11433, {1, 3, 3, 5, 29, 7, 119, 229, 117, 925, 465, 1703, 7277, 10631, 9429, 41011, 45181, 229239}},
+{14088, 18, 11434, {1, 1, 7, 7, 31, 63, 67, 55, 445, 39, 1363, 1369, 1061, 8555, 29263, 47341, 49563, 80445}},
+{14089, 18, 11439, {1, 1, 7, 1, 23, 23, 49, 205, 371, 101, 1963, 2763, 3475, 835, 20371, 51343, 9771, 69713}},
+{14090, 18, 11444, {1, 3, 3, 7, 3, 29, 7, 185, 511, 93, 1077, 3971, 2981, 16367, 12703, 36179, 47755, 42767}},
+{14091, 18, 11448, {1, 1, 1, 11, 27, 47, 43, 39, 129, 337, 1249, 3557, 2871, 13565, 19525, 46263, 49203, 148235}},
+{14092, 18, 11461, {1, 3, 5, 11, 19, 3, 83, 151, 425, 199, 847, 3751, 1729, 12457, 21819, 295, 53627, 17555}},
+{14093, 18, 11466, {1, 1, 3, 5, 7, 43, 21, 221, 93, 785, 1851, 3891, 2103, 5219, 31845, 58943, 42461, 160149}},
+{14094, 18, 11468, {1, 3, 5, 9, 25, 11, 43, 171, 445, 335, 1907, 3401, 815, 10341, 17779, 24895, 7727, 168143}},
+{14095, 18, 11473, {1, 3, 1, 5, 27, 25, 41, 13, 239, 233, 1861, 3409, 4325, 2227, 30197, 59329, 48501, 168799}},
+{14096, 18, 11489, {1, 3, 5, 13, 9, 55, 83, 185, 287, 83, 1545, 2803, 2177, 6195, 14455, 30541, 75731, 98915}},
+{14097, 18, 11499, {1, 3, 3, 5, 25, 19, 5, 203, 303, 703, 1861, 3867, 2683, 8223, 11107, 54785, 106053, 135543}},
+{14098, 18, 11516, {1, 1, 1, 13, 19, 7, 11, 197, 303, 541, 977, 2083, 4739, 7971, 2245, 11029, 77333, 16573}},
+{14099, 18, 11531, {1, 1, 1, 3, 11, 33, 77, 59, 283, 791, 365, 4027, 487, 10559, 4543, 58111, 91861, 102905}},
+{14100, 18, 11533, {1, 3, 7, 7, 15, 3, 19, 51, 339, 377, 929, 693, 1617, 14057, 7107, 27181, 7411, 202843}},
+{14101, 18, 11557, {1, 3, 3, 9, 19, 9, 73, 109, 333, 917, 1227, 2871, 4893, 11029, 5619, 27091, 9381, 213403}},
+{14102, 18, 11572, {1, 1, 1, 9, 9, 13, 77, 131, 163, 619, 169, 315, 1277, 13705, 16853, 1179, 86433, 135427}},
+{14103, 18, 11608, {1, 3, 5, 9, 15, 47, 57, 119, 325, 529, 893, 2395, 5159, 5481, 18689, 6457, 114733, 159999}},
+{14104, 18, 11635, {1, 3, 7, 5, 15, 9, 113, 235, 475, 93, 495, 2983, 2769, 5209, 7481, 49699, 46961, 246393}},
+{14105, 18, 11638, {1, 1, 7, 1, 5, 31, 113, 27, 359, 635, 955, 2795, 6289, 11621, 11059, 2259, 57443, 243143}},
+{14106, 18, 11644, {1, 3, 3, 13, 19, 33, 53, 141, 437, 415, 919, 1375, 2703, 13731, 31559, 14115, 50101, 85199}},
+{14107, 18, 11684, {1, 1, 7, 13, 27, 57, 111, 89, 89, 313, 1107, 4049, 2485, 269, 10197, 36995, 71381, 112795}},
+{14108, 18, 11702, {1, 1, 3, 7, 17, 23, 119, 123, 145, 213, 1273, 1707, 4005, 13815, 23495, 36359, 14391, 94287}},
+{14109, 18, 11740, {1, 1, 7, 1, 5, 49, 81, 193, 105, 1003, 413, 2975, 1725, 5647, 25447, 43501, 4431, 115489}},
+{14110, 18, 11749, {1, 3, 1, 5, 29, 13, 47, 37, 441, 955, 611, 853, 7225, 4959, 8739, 31703, 48095, 124085}},
+{14111, 18, 11754, {1, 1, 5, 15, 31, 9, 125, 53, 229, 631, 1031, 3923, 4417, 12637, 22093, 46985, 103417, 193443}},
+{14112, 18, 11764, {1, 1, 7, 1, 7, 9, 77, 11, 451, 615, 1259, 3097, 1513, 13641, 26845, 17399, 63661, 9231}},
+{14113, 18, 11767, {1, 1, 7, 13, 25, 47, 125, 1, 333, 599, 1133, 3527, 7451, 2849, 27227, 40015, 118185, 24737}},
+{14114, 18, 11784, {1, 1, 5, 5, 31, 15, 85, 37, 121, 677, 593, 2757, 739, 839, 3939, 36339, 116663, 955}},
+{14115, 18, 11789, {1, 3, 1, 11, 19, 13, 87, 109, 149, 215, 1811, 3813, 7699, 16189, 12841, 52081, 104545, 245819}},
+{14116, 18, 11795, {1, 1, 7, 3, 31, 17, 99, 23, 377, 131, 821, 1167, 4437, 15727, 20753, 8163, 43719, 7243}},
+{14117, 18, 11798, {1, 3, 7, 13, 21, 5, 5, 167, 9, 1009, 1013, 797, 6145, 2855, 19969, 59887, 3419, 238661}},
+{14118, 18, 11804, {1, 1, 7, 1, 5, 39, 47, 91, 185, 139, 959, 3149, 3423, 8909, 2045, 18187, 71935, 238605}},
+{14119, 18, 11818, {1, 3, 5, 11, 29, 63, 105, 43, 27, 221, 879, 181, 1499, 10343, 27135, 823, 4893, 101707}},
+{14120, 18, 11820, {1, 3, 5, 11, 5, 13, 59, 83, 315, 999, 1205, 939, 3661, 3081, 15551, 13791, 49027, 26843}},
+{14121, 18, 11860, {1, 1, 1, 5, 3, 57, 105, 169, 123, 463, 1471, 445, 743, 13353, 17661, 23437, 35451, 115919}},
+{14122, 18, 11869, {1, 1, 5, 11, 9, 3, 41, 63, 501, 861, 153, 1591, 1379, 5189, 24483, 8073, 43319, 248959}},
+{14123, 18, 11874, {1, 1, 7, 3, 29, 45, 51, 177, 1, 961, 1493, 2179, 3723, 1923, 1517, 44823, 81613, 194641}},
+{14124, 18, 11903, {1, 1, 5, 11, 17, 17, 61, 141, 5, 529, 379, 2509, 1487, 13141, 10877, 18603, 40569, 69639}},
+{14125, 18, 11916, {1, 1, 5, 15, 1, 15, 33, 219, 269, 557, 7, 3627, 183, 6975, 4627, 15235, 51863, 172393}},
+{14126, 18, 11927, {1, 3, 7, 9, 1, 37, 13, 75, 151, 153, 1693, 2835, 3093, 8847, 6721, 44135, 128931, 230745}},
+{14127, 18, 11933, {1, 1, 3, 13, 29, 63, 33, 153, 503, 137, 401, 2315, 2223, 10843, 4235, 37295, 103249, 183899}},
+{14128, 18, 11962, {1, 1, 7, 11, 15, 25, 49, 55, 39, 13, 269, 3119, 3445, 8265, 16781, 57239, 97489, 204841}},
+{14129, 18, 12009, {1, 1, 1, 1, 25, 57, 117, 199, 41, 351, 477, 1891, 7913, 14439, 25305, 64811, 57731, 184265}},
+{14130, 18, 12020, {1, 3, 3, 1, 13, 41, 33, 53, 381, 31, 1861, 2207, 1497, 15539, 23589, 53215, 36887, 134007}},
+{14131, 18, 12035, {1, 1, 5, 7, 15, 37, 13, 99, 17, 325, 643, 2943, 7967, 11531, 21301, 5125, 63201, 101203}},
+{14132, 18, 12041, {1, 1, 7, 11, 23, 21, 119, 151, 457, 929, 1917, 3123, 1133, 11861, 27889, 40421, 90949, 113237}},
+{14133, 18, 12049, {1, 3, 5, 9, 13, 35, 111, 83, 371, 589, 1507, 3559, 773, 5895, 31453, 40865, 124103, 250473}},
+{14134, 18, 12065, {1, 3, 3, 15, 11, 7, 93, 163, 285, 763, 2023, 1047, 3349, 13575, 22571, 21513, 56081, 204765}},
+{14135, 18, 12072, {1, 3, 3, 5, 19, 19, 47, 25, 49, 717, 1155, 3901, 407, 2699, 30961, 55647, 96043, 185559}},
+{14136, 18, 12098, {1, 1, 1, 7, 29, 1, 49, 87, 311, 435, 1235, 1041, 6595, 1639, 32495, 44245, 6593, 236331}},
+{14137, 18, 12100, {1, 3, 7, 9, 27, 13, 1, 41, 75, 953, 1635, 101, 7231, 13019, 14773, 17315, 120993, 111215}},
+{14138, 18, 12107, {1, 1, 5, 9, 23, 31, 87, 47, 83, 791, 1239, 1453, 5459, 4847, 7285, 32667, 45991, 103593}},
+{14139, 18, 12167, {1, 3, 1, 3, 27, 47, 97, 191, 5, 961, 1191, 3897, 6821, 4257, 22047, 31557, 52603, 251405}},
+{14140, 18, 12202, {1, 1, 5, 3, 23, 45, 103, 115, 287, 47, 93, 2761, 6467, 14031, 21881, 31631, 47605, 237635}},
+{14141, 18, 12207, {1, 3, 7, 15, 23, 41, 63, 239, 115, 655, 1949, 1969, 3145, 91, 16735, 49295, 117995, 40537}},
+{14142, 18, 12233, {1, 1, 7, 11, 5, 25, 99, 247, 11, 707, 1497, 785, 6055, 8521, 12179, 56363, 110131, 55449}},
+{14143, 18, 12269, {1, 1, 1, 7, 5, 31, 99, 7, 285, 281, 1207, 1173, 7637, 9595, 31413, 16597, 96157, 39059}},
+{14144, 18, 12290, {1, 3, 7, 7, 3, 49, 79, 69, 57, 523, 65, 2785, 2907, 11295, 16199, 25845, 51801, 67417}},
+{14145, 18, 12304, {1, 1, 3, 1, 1, 53, 57, 117, 1, 927, 1787, 3059, 7441, 14663, 10881, 2225, 29375, 93717}},
+{14146, 18, 12314, {1, 1, 5, 5, 29, 17, 67, 35, 475, 367, 155, 3463, 2339, 6239, 31073, 56169, 130309, 28981}},
+{14147, 18, 12340, {1, 1, 1, 5, 7, 53, 61, 105, 355, 817, 869, 2863, 6041, 11459, 4151, 61115, 100689, 32917}},
+{14148, 18, 12416, {1, 3, 5, 11, 31, 11, 33, 105, 437, 767, 101, 2979, 3911, 4859, 15551, 23545, 10705, 6271}},
+{14149, 18, 12425, {1, 1, 7, 5, 1, 17, 109, 205, 409, 893, 889, 2181, 6167, 14273, 25389, 50279, 5497, 191755}},
+{14150, 18, 12428, {1, 3, 7, 15, 29, 11, 79, 101, 123, 399, 1159, 1263, 3513, 13169, 2199, 41057, 98639, 227107}},
+{14151, 18, 12446, {1, 1, 3, 11, 13, 31, 51, 119, 257, 829, 337, 3267, 7673, 15459, 26681, 4041, 89429, 198607}},
+{14152, 18, 12462, {1, 3, 7, 11, 23, 29, 49, 159, 327, 415, 857, 2411, 2429, 11839, 20263, 61813, 31811, 225443}},
+{14153, 18, 12476, {1, 1, 3, 11, 7, 61, 61, 119, 431, 299, 1815, 2857, 7605, 7517, 15137, 13727, 73021, 199325}},
+{14154, 18, 12496, {1, 1, 7, 3, 5, 19, 51, 19, 59, 637, 591, 2999, 5997, 13487, 807, 4887, 112189, 226597}},
+{14155, 18, 12511, {1, 1, 1, 13, 21, 5, 55, 167, 463, 679, 891, 3597, 785, 7717, 17495, 51681, 55957, 48561}},
+{14156, 18, 12518, {1, 1, 5, 5, 9, 55, 55, 143, 193, 839, 785, 1713, 7457, 11591, 15803, 2479, 124663, 72631}},
+{14157, 18, 12530, {1, 3, 5, 9, 21, 27, 109, 91, 483, 905, 1369, 2573, 7173, 13977, 20131, 17637, 127477, 66457}},
+{14158, 18, 12532, {1, 1, 5, 7, 31, 17, 43, 153, 505, 413, 867, 769, 6947, 10815, 18805, 5957, 27715, 24529}},
+{14159, 18, 12539, {1, 3, 5, 9, 13, 41, 107, 199, 69, 1019, 2037, 3221, 1081, 15051, 6713, 46379, 17223, 85453}},
+{14160, 18, 12567, {1, 3, 3, 7, 23, 51, 45, 133, 227, 373, 1815, 3795, 5567, 7153, 25003, 64951, 75377, 174115}},
+{14161, 18, 12597, {1, 1, 7, 15, 7, 51, 33, 239, 113, 133, 1213, 327, 4841, 11297, 1093, 40013, 60843, 99845}},
+{14162, 18, 12601, {1, 1, 1, 11, 3, 37, 33, 107, 275, 747, 1451, 1787, 5029, 3101, 11575, 36555, 46181, 221643}},
+{14163, 18, 12602, {1, 1, 3, 3, 29, 53, 57, 67, 209, 153, 345, 2897, 5657, 8907, 14159, 9899, 102487, 237721}},
+{14164, 18, 12622, {1, 3, 1, 7, 7, 59, 17, 151, 423, 903, 2035, 861, 1057, 2399, 28547, 3659, 29583, 100651}},
+{14165, 18, 12693, {1, 1, 5, 15, 27, 53, 101, 17, 405, 869, 1253, 1923, 999, 7787, 23621, 4351, 48611, 47129}},
+{14166, 18, 12707, {1, 3, 7, 11, 13, 43, 61, 161, 43, 831, 2021, 579, 5353, 12451, 32261, 39885, 90051, 34407}},
+{14167, 18, 12713, {1, 1, 1, 5, 25, 19, 37, 33, 37, 59, 1399, 1587, 1517, 4261, 31215, 33777, 50447, 87049}},
+{14168, 18, 12716, {1, 1, 3, 1, 19, 17, 113, 31, 385, 135, 143, 3997, 1365, 2625, 22591, 8887, 31353, 240603}},
+{14169, 18, 12734, {1, 3, 7, 11, 21, 7, 55, 171, 233, 1007, 1321, 2903, 2457, 3941, 19667, 49115, 99119, 185989}},
+{14170, 18, 12763, {1, 3, 7, 9, 3, 31, 83, 99, 303, 443, 99, 2285, 1491, 15897, 21735, 1575, 74449, 59615}},
+{14171, 18, 12765, {1, 3, 1, 5, 29, 37, 125, 213, 277, 115, 255, 137, 6071, 13561, 23871, 48129, 120211, 168603}},
+{14172, 18, 12799, {1, 1, 7, 3, 9, 21, 93, 239, 399, 21, 9, 409, 3403, 9517, 6421, 17121, 65697, 251985}},
+{14173, 18, 12843, {1, 1, 1, 15, 27, 35, 17, 113, 471, 357, 1703, 871, 1803, 3495, 27437, 48343, 86425, 155245}},
+{14174, 18, 12853, {1, 3, 7, 11, 19, 45, 51, 195, 345, 77, 1403, 2527, 3405, 14057, 31965, 17375, 35107, 246545}},
+{14175, 18, 12865, {1, 3, 5, 7, 7, 5, 115, 39, 51, 261, 1883, 1793, 3423, 3613, 20399, 27267, 99875, 119719}},
+{14176, 18, 12866, {1, 3, 3, 9, 21, 23, 65, 69, 261, 79, 151, 3387, 7789, 13275, 30135, 52229, 40787, 181297}},
+{14177, 18, 12919, {1, 1, 5, 13, 19, 49, 111, 125, 433, 99, 1673, 2091, 5447, 9377, 9085, 4659, 75121, 105809}},
+{14178, 18, 12926, {1, 3, 7, 1, 3, 27, 107, 109, 245, 431, 1727, 3269, 2099, 10777, 21843, 63377, 47343, 126269}},
+{14179, 18, 12936, {1, 3, 1, 15, 7, 17, 107, 153, 37, 287, 1873, 573, 5025, 3735, 32545, 35693, 38083, 89569}},
+{14180, 18, 12944, {1, 3, 1, 3, 9, 51, 99, 247, 45, 703, 1231, 1895, 6309, 12137, 14697, 25441, 129701, 198811}},
+{14181, 18, 12959, {1, 3, 3, 11, 5, 43, 1, 31, 359, 563, 1013, 3475, 3935, 7855, 10085, 15279, 25109, 225643}},
+{14182, 18, 12965, {1, 3, 3, 3, 9, 47, 49, 193, 223, 23, 391, 847, 7233, 14955, 10645, 50535, 5415, 119791}},
+{14183, 18, 12980, {1, 3, 1, 7, 3, 7, 57, 189, 219, 287, 401, 1767, 5585, 13983, 18485, 56725, 71905, 33779}},
+{14184, 18, 13004, {1, 3, 5, 15, 23, 17, 115, 223, 35, 263, 345, 3459, 857, 1467, 30255, 50127, 72985, 62509}},
+{14185, 18, 13016, {1, 3, 1, 9, 3, 27, 125, 43, 47, 183, 1421, 319, 4273, 10701, 21761, 23947, 22531, 10855}},
+{14186, 18, 13019, {1, 1, 3, 15, 13, 55, 77, 1, 295, 841, 1115, 4093, 7993, 13309, 24851, 35411, 105201, 188543}},
+{14187, 18, 13037, {1, 3, 3, 5, 19, 39, 101, 19, 225, 997, 1999, 407, 3147, 15393, 30379, 26221, 21685, 114167}},
+{14188, 18, 13055, {1, 3, 3, 3, 23, 15, 3, 57, 45, 381, 47, 1839, 5491, 6775, 18477, 51443, 757, 183111}},
+{14189, 18, 13063, {1, 3, 3, 7, 31, 27, 107, 229, 1, 977, 125, 1137, 4873, 14381, 8705, 64641, 38447, 239887}},
+{14190, 18, 13098, {1, 1, 3, 13, 9, 35, 49, 187, 459, 407, 1677, 2007, 1091, 12385, 8911, 38221, 108681, 171641}},
+{14191, 18, 13103, {1, 1, 3, 5, 7, 61, 115, 155, 437, 829, 1041, 2191, 1489, 1269, 27613, 48713, 40095, 206057}},
+{14192, 18, 13106, {1, 3, 7, 1, 23, 1, 17, 215, 363, 119, 845, 987, 5619, 5857, 11307, 63171, 76921, 201767}},
+{14193, 18, 13115, {1, 1, 7, 9, 29, 23, 63, 247, 37, 199, 103, 1215, 913, 12865, 24089, 35101, 117677, 261393}},
+{14194, 18, 13143, {1, 1, 1, 1, 3, 19, 7, 159, 183, 275, 467, 3629, 6575, 3351, 26955, 29247, 119007, 67895}},
+{14195, 18, 13144, {1, 1, 7, 13, 1, 33, 31, 211, 103, 495, 417, 817, 7129, 10169, 11445, 41511, 73101, 185357}},
+{14196, 18, 13153, {1, 1, 3, 5, 3, 27, 99, 1, 425, 295, 131, 835, 1833, 4547, 8777, 29489, 60303, 191437}},
+{14197, 18, 13171, {1, 1, 5, 5, 31, 63, 71, 189, 317, 61, 385, 891, 2257, 8281, 17325, 12207, 125847, 28259}},
+{14198, 18, 13184, {1, 1, 3, 3, 19, 19, 97, 83, 495, 551, 1339, 1699, 3047, 13623, 27731, 28999, 101225, 146139}},
+{14199, 18, 13193, {1, 3, 5, 7, 25, 9, 37, 73, 239, 47, 583, 3337, 1329, 79, 30109, 12451, 10163, 62943}},
+{14200, 18, 13199, {1, 1, 3, 1, 9, 1, 31, 181, 231, 441, 1241, 233, 6049, 2401, 9867, 58911, 20599, 26321}},
+{14201, 18, 13207, {1, 3, 1, 15, 21, 43, 21, 43, 273, 865, 79, 2069, 3375, 16069, 12355, 56355, 9735, 243719}},
+{14202, 18, 13217, {1, 3, 5, 11, 13, 21, 5, 73, 423, 761, 1947, 2935, 3931, 5573, 83, 58251, 113115, 245767}},
+{14203, 18, 13227, {1, 3, 7, 7, 15, 49, 73, 211, 309, 635, 1257, 2185, 7151, 11959, 26885, 45955, 103503, 161709}},
+{14204, 18, 13232, {1, 3, 1, 15, 31, 53, 29, 35, 343, 87, 1833, 2483, 1847, 4709, 6105, 21961, 106541, 46741}},
+{14205, 18, 13276, {1, 1, 7, 7, 21, 43, 41, 51, 29, 521, 713, 3693, 483, 11777, 10453, 43691, 97585, 133193}},
+{14206, 18, 13283, {1, 3, 3, 11, 5, 45, 3, 179, 183, 255, 1291, 1795, 5721, 10911, 18395, 64349, 23141, 99481}},
+{14207, 18, 13307, {1, 1, 1, 5, 5, 25, 61, 169, 475, 953, 617, 559, 5945, 16377, 30063, 30079, 83305, 81745}},
+{14208, 18, 13317, {1, 1, 5, 11, 29, 59, 113, 37, 153, 807, 135, 2639, 4535, 7079, 6387, 63523, 89669, 198803}},
+{14209, 18, 13330, {1, 1, 7, 7, 19, 23, 71, 51, 165, 733, 1427, 2473, 331, 5027, 9299, 20617, 126775, 91619}},
+{14210, 18, 13345, {1, 3, 5, 7, 31, 35, 117, 235, 29, 677, 1243, 281, 6287, 535, 4783, 37781, 130929, 14193}},
+{14211, 18, 13363, {1, 1, 5, 3, 25, 1, 29, 109, 289, 631, 41, 361, 5537, 9657, 7475, 63749, 50325, 169791}},
+{14212, 18, 13387, {1, 3, 3, 15, 21, 53, 85, 43, 341, 907, 475, 3257, 2541, 10397, 30847, 63681, 121427, 192135}},
+{14213, 18, 13426, {1, 1, 1, 1, 9, 59, 59, 233, 335, 345, 1749, 4007, 1833, 7789, 21015, 48939, 15967, 201321}},
+{14214, 18, 13428, {1, 1, 1, 5, 11, 9, 101, 243, 391, 1003, 1019, 311, 3707, 10223, 21627, 8237, 53861, 159785}},
+{14215, 18, 13431, {1, 3, 7, 15, 5, 3, 109, 197, 507, 947, 833, 1161, 4021, 5575, 8081, 45381, 112597, 70407}},
+{14216, 18, 13489, {1, 1, 3, 1, 7, 63, 63, 53, 481, 1003, 43, 2503, 2303, 12593, 21403, 2965, 5377, 91491}},
+{14217, 18, 13501, {1, 1, 1, 1, 29, 45, 49, 73, 253, 197, 1245, 1509, 4747, 6207, 28321, 59193, 112687, 83719}},
+{14218, 18, 13533, {1, 1, 7, 3, 11, 51, 23, 83, 185, 643, 1427, 227, 2261, 12521, 27033, 5129, 53111, 34975}},
+{14219, 18, 13589, {1, 1, 7, 3, 5, 41, 55, 175, 447, 603, 723, 2141, 1189, 4921, 16905, 2463, 83641, 247241}},
+{14220, 18, 13600, {1, 3, 3, 13, 5, 11, 95, 59, 391, 319, 1675, 329, 7559, 11585, 28905, 27843, 106667, 15531}},
+{14221, 18, 13603, {1, 3, 3, 3, 27, 17, 103, 115, 447, 657, 267, 2541, 665, 7819, 4155, 32191, 60999, 48737}},
+{14222, 18, 13623, {1, 1, 5, 7, 7, 49, 87, 171, 457, 149, 1699, 4081, 3913, 7889, 29517, 3339, 33139, 8925}},
+{14223, 18, 13665, {1, 1, 1, 9, 11, 51, 87, 115, 429, 505, 1665, 2361, 5811, 1621, 12727, 33703, 52255, 93835}},
+{14224, 18, 13672, {1, 3, 3, 5, 27, 11, 35, 49, 281, 607, 1791, 4065, 5103, 5253, 975, 20353, 38253, 139363}},
+{14225, 18, 13675, {1, 1, 5, 9, 29, 15, 37, 141, 445, 751, 1219, 2217, 7207, 14981, 21113, 3313, 107127, 135567}},
+{14226, 18, 13708, {1, 3, 3, 15, 1, 41, 23, 27, 167, 609, 913, 631, 923, 6939, 9793, 57869, 126577, 145271}},
+{14227, 18, 13713, {1, 1, 3, 7, 27, 47, 127, 5, 213, 575, 559, 2541, 3457, 2903, 19529, 53395, 105353, 212607}},
+{14228, 18, 13720, {1, 3, 1, 13, 27, 41, 31, 111, 371, 1019, 241, 2075, 2571, 10739, 28163, 16093, 41127, 69783}},
+{14229, 18, 13730, {1, 1, 5, 1, 21, 9, 15, 141, 287, 675, 1721, 2291, 6587, 7503, 6363, 9109, 33547, 259627}},
+{14230, 18, 13735, {1, 3, 7, 3, 3, 53, 7, 153, 183, 761, 191, 3735, 2619, 11153, 19601, 33855, 82345, 72755}},
+{14231, 18, 13767, {1, 3, 1, 9, 19, 21, 41, 105, 281, 833, 981, 2733, 7179, 14691, 18365, 56283, 53719, 191601}},
+{14232, 18, 13773, {1, 1, 7, 11, 23, 1, 55, 213, 105, 517, 809, 4087, 825, 7011, 15701, 54047, 123831, 49833}},
+{14233, 18, 13792, {1, 1, 7, 13, 27, 9, 111, 57, 357, 95, 1489, 887, 5273, 2833, 8757, 9371, 44637, 94939}},
+{14234, 18, 13843, {1, 1, 3, 5, 1, 17, 43, 31, 509, 353, 401, 1077, 7567, 9657, 15065, 32017, 8491, 214477}},
+{14235, 18, 13891, {1, 1, 1, 15, 7, 59, 41, 99, 101, 845, 1479, 2153, 4281, 12839, 237, 54095, 125873, 57165}},
+{14236, 18, 13946, {1, 3, 7, 13, 5, 17, 1, 249, 309, 351, 709, 3943, 7775, 6449, 26611, 54019, 121015, 213535}},
+{14237, 18, 13967, {1, 1, 1, 5, 7, 25, 33, 149, 291, 777, 161, 2729, 117, 4999, 16781, 23383, 85161, 71689}},
+{14238, 18, 13976, {1, 1, 3, 11, 5, 63, 119, 165, 45, 135, 1723, 811, 1259, 11055, 28625, 37559, 128401, 100715}},
+{14239, 18, 14017, {1, 3, 7, 1, 1, 39, 11, 255, 423, 289, 1359, 2827, 4637, 4089, 26659, 58701, 117403, 133971}},
+{14240, 18, 14030, {1, 1, 7, 1, 25, 9, 127, 121, 147, 831, 17, 3521, 1535, 10931, 17305, 56671, 22425, 157341}},
+{14241, 18, 14041, {1, 3, 1, 15, 5, 55, 95, 95, 169, 497, 739, 2031, 339, 13461, 20619, 24553, 81805, 90789}},
+{14242, 18, 14054, {1, 1, 7, 7, 7, 19, 15, 203, 287, 673, 1033, 3857, 2761, 10835, 11039, 62329, 37893, 6119}},
+{14243, 18, 14058, {1, 1, 3, 11, 19, 35, 55, 9, 399, 443, 583, 89, 2387, 747, 9551, 9907, 96871, 175457}},
+{14244, 18, 14060, {1, 1, 3, 1, 11, 57, 121, 89, 491, 133, 545, 683, 5751, 839, 25975, 44725, 59863, 142671}},
+{14245, 18, 14063, {1, 1, 3, 1, 23, 1, 111, 177, 1, 103, 1933, 2783, 6857, 51, 14547, 5945, 14757, 39783}},
+{14246, 18, 14078, {1, 3, 7, 13, 25, 13, 51, 247, 325, 361, 1225, 15, 1929, 1729, 25293, 59495, 82111, 101809}},
+{14247, 18, 14080, {1, 3, 3, 1, 19, 37, 67, 85, 105, 589, 1273, 2995, 8017, 1613, 22189, 2549, 22671, 72813}},
+{14248, 18, 14089, {1, 3, 7, 9, 15, 41, 25, 43, 411, 663, 387, 2861, 3627, 5839, 733, 53479, 76241, 116763}},
+{14249, 18, 14131, {1, 3, 3, 3, 17, 5, 73, 153, 133, 247, 881, 2853, 6059, 2259, 10181, 63251, 107089, 22579}},
+{14250, 18, 14134, {1, 3, 1, 5, 11, 15, 17, 235, 23, 15, 521, 235, 4137, 12705, 24775, 18197, 56295, 28035}},
+{14251, 18, 14137, {1, 3, 5, 5, 13, 9, 77, 69, 19, 755, 1663, 1499, 1049, 12935, 28835, 55413, 71511, 221223}},
+{14252, 18, 14188, {1, 1, 1, 1, 27, 31, 21, 39, 197, 519, 1621, 3703, 2541, 8865, 21947, 53605, 114551, 205697}},
+{14253, 18, 14215, {1, 1, 1, 13, 11, 53, 41, 245, 495, 275, 385, 3071, 1913, 11135, 8571, 58551, 39049, 5459}},
+{14254, 18, 14222, {1, 3, 5, 5, 11, 63, 25, 173, 57, 441, 1749, 79, 3191, 7733, 13111, 23453, 118399, 101845}},
+{14255, 18, 14249, {1, 1, 3, 11, 29, 25, 119, 39, 65, 623, 517, 1325, 5981, 8381, 32031, 25585, 105537, 214241}},
+{14256, 18, 14292, {1, 3, 5, 9, 21, 43, 13, 69, 109, 311, 1893, 1941, 2491, 7815, 4067, 56749, 33761, 191145}},
+{14257, 18, 14320, {1, 1, 1, 7, 9, 5, 123, 149, 65, 729, 1967, 3089, 3757, 2333, 24587, 36047, 118105, 146277}},
+{14258, 18, 14339, {1, 3, 7, 13, 9, 35, 39, 219, 161, 93, 275, 3619, 353, 14595, 24673, 54753, 117175, 81891}},
+{14259, 18, 14346, {1, 3, 3, 13, 15, 61, 95, 135, 271, 595, 1103, 877, 747, 2535, 7733, 25509, 65673, 62089}},
+{14260, 18, 14353, {1, 3, 3, 5, 21, 21, 67, 5, 373, 377, 61, 2337, 489, 5801, 23203, 42377, 7801, 178095}},
+{14261, 18, 14365, {1, 1, 7, 5, 25, 17, 61, 133, 181, 261, 1627, 1615, 6851, 4763, 30353, 53349, 7545, 66733}},
+{14262, 18, 14384, {1, 3, 5, 7, 29, 3, 85, 231, 121, 669, 1925, 403, 777, 10605, 24125, 60819, 8253, 81209}},
+{14263, 18, 14414, {1, 1, 5, 3, 5, 5, 1, 53, 9, 445, 1339, 2643, 5527, 13757, 9409, 31993, 80845, 97863}},
+{14264, 18, 14428, {1, 1, 7, 13, 29, 49, 97, 89, 319, 349, 1739, 3615, 1113, 11791, 17429, 37195, 1159, 32211}},
+{14265, 18, 14435, {1, 3, 5, 11, 9, 61, 109, 167, 119, 499, 1157, 3615, 5773, 8839, 27915, 47837, 14945, 187225}},
+{14266, 18, 14483, {1, 1, 5, 1, 9, 3, 7, 179, 323, 279, 43, 1337, 4813, 9917, 2033, 34657, 130769, 208089}},
+{14267, 18, 14486, {1, 1, 3, 1, 31, 57, 57, 73, 21, 661, 1861, 1661, 7619, 12155, 23123, 49751, 130697, 74143}},
+{14268, 18, 14506, {1, 3, 3, 13, 11, 61, 95, 75, 227, 491, 463, 597, 2721, 12323, 26195, 53657, 44413, 68965}},
+{14269, 18, 14513, {1, 1, 7, 11, 5, 51, 103, 123, 203, 911, 203, 1641, 7009, 9479, 303, 37649, 32751, 172777}},
+{14270, 18, 14520, {1, 1, 3, 7, 11, 59, 111, 5, 271, 863, 269, 3457, 489, 10877, 8645, 62567, 24893, 201587}},
+{14271, 18, 14526, {1, 1, 5, 7, 29, 23, 127, 151, 371, 121, 1103, 3951, 3107, 15563, 6243, 1631, 75065, 107681}},
+{14272, 18, 14528, {1, 1, 7, 15, 27, 45, 43, 83, 461, 673, 715, 3245, 313, 13731, 21981, 58853, 46569, 165463}},
+{14273, 18, 14533, {1, 1, 1, 9, 7, 53, 63, 43, 3, 187, 1325, 447, 5113, 4993, 21807, 24329, 4499, 30067}},
+{14274, 18, 14576, {1, 3, 1, 9, 21, 45, 111, 231, 407, 213, 1977, 2269, 2323, 4595, 30427, 54753, 95049, 195409}},
+{14275, 18, 14599, {1, 1, 1, 9, 29, 43, 89, 201, 499, 329, 847, 3831, 5403, 13001, 6037, 14371, 25805, 169237}},
+{14276, 18, 14613, {1, 1, 1, 11, 29, 61, 61, 203, 91, 189, 1603, 939, 6575, 3195, 4731, 44923, 33627, 21683}},
+{14277, 18, 14639, {1, 3, 3, 11, 7, 57, 93, 181, 479, 99, 681, 2875, 7649, 5555, 27087, 6841, 69859, 153689}},
+{14278, 18, 14644, {1, 1, 1, 9, 17, 45, 97, 47, 91, 879, 1463, 3041, 2917, 769, 13675, 26489, 88559, 120991}},
+{14279, 18, 14653, {1, 3, 7, 1, 11, 13, 43, 9, 483, 399, 793, 3965, 2375, 4957, 17747, 50905, 56987, 231265}},
+{14280, 18, 14662, {1, 3, 3, 13, 23, 45, 69, 67, 397, 437, 1993, 2569, 8035, 8531, 27623, 53567, 123189, 242515}},
+{14281, 18, 14695, {1, 1, 1, 3, 5, 9, 21, 227, 499, 205, 431, 3711, 5307, 15773, 11337, 6349, 123507, 95941}},
+{14282, 18, 14704, {1, 3, 7, 1, 13, 15, 101, 91, 209, 611, 537, 1427, 101, 2619, 10513, 44323, 92745, 249127}},
+{14283, 18, 14713, {1, 3, 3, 1, 21, 7, 79, 241, 273, 567, 605, 2371, 5427, 15147, 20139, 40987, 75551, 236213}},
+{14284, 18, 14725, {1, 1, 7, 11, 25, 19, 77, 209, 313, 663, 115, 3697, 3641, 12461, 9877, 18331, 70809, 78923}},
+{14285, 18, 14783, {1, 1, 5, 5, 29, 45, 7, 207, 1, 357, 1089, 3861, 4161, 3209, 27845, 20947, 68909, 125179}},
+{14286, 18, 14810, {1, 3, 1, 13, 17, 11, 27, 165, 179, 489, 1611, 2801, 2385, 2971, 6777, 16149, 59811, 151043}},
+{14287, 18, 14816, {1, 1, 3, 3, 17, 53, 121, 227, 7, 71, 1855, 639, 5135, 6349, 7163, 22997, 112551, 44167}},
+{14288, 18, 14822, {1, 3, 1, 11, 15, 9, 125, 213, 485, 291, 1781, 3621, 7529, 13353, 13903, 24151, 130253, 187097}},
+{14289, 18, 14828, {1, 3, 1, 3, 1, 61, 39, 157, 455, 945, 739, 589, 7259, 7149, 16455, 12649, 72003, 152419}},
+{14290, 18, 14883, {1, 1, 3, 3, 31, 23, 17, 255, 319, 907, 563, 2571, 2149, 15323, 20289, 46061, 32769, 184353}},
+{14291, 18, 14889, {1, 3, 7, 9, 21, 51, 27, 13, 495, 909, 2039, 1435, 4791, 10037, 30119, 3405, 22535, 42247}},
+{14292, 18, 14904, {1, 1, 3, 15, 11, 25, 123, 149, 185, 635, 473, 527, 433, 10373, 18205, 853, 94619, 202507}},
+{14293, 18, 14917, {1, 1, 7, 15, 7, 39, 7, 69, 157, 533, 369, 4031, 1335, 4279, 8049, 28491, 103753, 257477}},
+{14294, 18, 14927, {1, 3, 1, 15, 29, 51, 113, 77, 5, 961, 1863, 1477, 5009, 9519, 32029, 2367, 55705, 149597}},
+{14295, 18, 14941, {1, 3, 1, 5, 19, 43, 49, 107, 59, 693, 867, 3011, 2703, 3633, 24567, 52621, 35839, 134823}},
+{14296, 18, 14946, {1, 3, 3, 7, 19, 15, 81, 105, 23, 375, 451, 3017, 1263, 7589, 24453, 21885, 57651, 52613}},
+{14297, 18, 14952, {1, 1, 3, 7, 3, 59, 19, 1, 3, 243, 1891, 2041, 4707, 15557, 28885, 5959, 22517, 237131}},
+{14298, 18, 15010, {1, 3, 7, 11, 25, 33, 105, 15, 245, 247, 1357, 1255, 7463, 4815, 13727, 41687, 112425, 58827}},
+{14299, 18, 15012, {1, 1, 7, 1, 19, 31, 37, 201, 217, 127, 927, 763, 6359, 9951, 2581, 49171, 104305, 215923}},
+{14300, 18, 15033, {1, 1, 7, 7, 13, 9, 9, 139, 363, 85, 1703, 3615, 2545, 15991, 20677, 12109, 54951, 2171}},
+{14301, 18, 15041, {1, 3, 1, 13, 27, 3, 37, 195, 185, 829, 815, 1621, 2917, 8643, 29071, 45523, 38475, 243505}},
+{14302, 18, 15047, {1, 1, 7, 3, 19, 29, 91, 85, 331, 231, 1609, 2583, 1091, 4191, 29929, 55377, 105077, 168425}},
+{14303, 18, 15066, {1, 1, 5, 3, 29, 35, 3, 61, 389, 339, 705, 473, 2075, 7373, 9699, 38809, 60415, 66423}},
+{14304, 18, 15068, {1, 3, 1, 5, 17, 25, 17, 37, 335, 787, 1891, 1861, 4325, 12721, 9675, 13671, 18655, 235443}},
+{14305, 18, 15072, {1, 3, 3, 5, 23, 13, 83, 191, 263, 325, 1847, 1717, 7089, 15709, 26567, 44489, 66523, 3107}},
+{14306, 18, 15095, {1, 3, 7, 7, 25, 29, 63, 55, 9, 481, 899, 669, 5481, 11227, 1637, 17017, 124509, 102775}},
+{14307, 18, 15150, {1, 1, 1, 5, 21, 41, 101, 93, 129, 1023, 561, 2969, 1525, 2929, 32729, 54513, 4359, 28745}},
+{14308, 18, 15152, {1, 1, 5, 13, 15, 13, 79, 9, 257, 535, 861, 2703, 6161, 6659, 10369, 7, 117467, 146651}},
+{14309, 18, 15175, {1, 1, 3, 13, 31, 11, 43, 95, 441, 921, 1323, 343, 5339, 13149, 19643, 24253, 32055, 180327}},
+{14310, 18, 15176, {1, 1, 5, 15, 11, 27, 109, 149, 255, 1021, 249, 1913, 5213, 301, 9939, 49779, 26097, 66007}},
+{14311, 18, 15210, {1, 3, 1, 11, 15, 33, 53, 159, 433, 167, 1107, 3577, 6231, 8309, 28125, 55381, 127309, 14459}},
+{14312, 18, 15245, {1, 3, 5, 9, 7, 3, 45, 139, 133, 359, 537, 805, 3931, 5181, 915, 63317, 86227, 231573}},
+{14313, 18, 15258, {1, 1, 1, 3, 11, 31, 97, 127, 117, 151, 711, 2457, 2777, 3855, 21829, 7913, 30785, 141449}},
+{14314, 18, 15263, {1, 3, 7, 13, 11, 17, 65, 63, 289, 851, 1929, 4021, 105, 5207, 17085, 64119, 48659, 31687}},
+{14315, 18, 15264, {1, 1, 7, 11, 31, 57, 63, 251, 341, 727, 505, 1851, 783, 16191, 9335, 39421, 14793, 238215}},
+{14316, 18, 15279, {1, 3, 3, 11, 23, 13, 119, 195, 117, 579, 693, 3059, 2967, 12791, 26905, 28527, 13393, 11869}},
+{14317, 18, 15301, {1, 3, 7, 11, 23, 7, 61, 143, 409, 309, 651, 3321, 4027, 1351, 10339, 18451, 18447, 235665}},
+{14318, 18, 15306, {1, 1, 1, 9, 13, 21, 7, 65, 103, 789, 973, 475, 2831, 13337, 18989, 40573, 105375, 2221}},
+{14319, 18, 15313, {1, 3, 5, 15, 3, 59, 115, 61, 365, 653, 523, 3927, 8175, 6751, 32561, 55919, 64903, 139005}},
+{14320, 18, 15329, {1, 3, 3, 13, 1, 7, 51, 63, 179, 525, 1899, 373, 3797, 6329, 5539, 32669, 65903, 154993}},
+{14321, 18, 15341, {1, 3, 1, 1, 31, 53, 87, 39, 317, 71, 1899, 925, 4719, 11645, 27125, 50391, 116491, 219271}},
+{14322, 18, 15367, {1, 3, 7, 13, 7, 23, 1, 57, 333, 277, 893, 3245, 1417, 13115, 21835, 25879, 91305, 54691}},
+{14323, 18, 15368, {1, 3, 1, 11, 27, 5, 109, 69, 221, 453, 299, 517, 609, 11959, 27789, 33107, 46559, 121673}},
+{14324, 18, 15386, {1, 3, 5, 7, 27, 7, 119, 169, 129, 643, 173, 2479, 6163, 11159, 11897, 57153, 11347, 135337}},
+{14325, 18, 15404, {1, 1, 5, 13, 13, 59, 21, 13, 429, 601, 267, 1635, 2579, 12053, 31583, 14847, 78187, 217099}},
+{14326, 18, 15422, {1, 3, 5, 9, 5, 3, 125, 159, 411, 15, 479, 933, 6307, 9707, 23491, 6501, 70993, 161365}},
+{14327, 18, 15436, {1, 1, 7, 7, 3, 33, 87, 177, 283, 825, 1935, 1545, 7071, 9975, 1795, 48277, 115725, 173439}},
+{14328, 18, 15444, {1, 3, 3, 9, 19, 63, 17, 119, 13, 337, 2021, 2221, 3237, 3253, 18661, 15479, 59377, 76095}},
+{14329, 18, 15467, {1, 1, 1, 11, 17, 15, 93, 249, 333, 171, 575, 3251, 5413, 3587, 22807, 29273, 56461, 97801}},
+{14330, 18, 15498, {1, 3, 3, 11, 13, 7, 27, 167, 389, 693, 1473, 555, 1603, 3167, 3985, 3841, 100283, 195253}},
+{14331, 18, 15503, {1, 3, 7, 1, 23, 7, 89, 231, 85, 797, 1935, 2557, 4365, 2221, 21069, 44055, 77723, 226547}},
+{14332, 18, 15528, {1, 3, 1, 5, 5, 49, 47, 187, 71, 903, 1279, 3219, 8041, 10915, 5249, 17755, 80077, 3479}},
+{14333, 18, 15534, {1, 1, 3, 13, 5, 53, 35, 25, 183, 791, 1651, 1041, 1221, 2171, 26221, 20649, 126851, 163047}},
+{14334, 18, 15536, {1, 1, 5, 9, 29, 3, 75, 31, 385, 293, 171, 3023, 2075, 14541, 30879, 13895, 67637, 87831}},
+{14335, 18, 15559, {1, 3, 5, 7, 3, 41, 115, 213, 23, 895, 361, 27, 5839, 12447, 13829, 29183, 106539, 134891}},
+{14336, 18, 15565, {1, 3, 7, 7, 11, 39, 99, 229, 195, 633, 837, 3697, 1161, 15119, 20831, 27371, 92195, 26993}},
+{14337, 18, 15583, {1, 1, 5, 9, 25, 17, 5, 169, 475, 73, 1451, 2057, 3671, 12801, 9671, 57427, 25321, 154969}},
+{14338, 18, 15599, {1, 3, 5, 11, 25, 23, 9, 145, 341, 339, 1855, 981, 8041, 569, 19851, 29521, 21767, 136505}},
+{14339, 18, 15602, {1, 1, 1, 1, 3, 9, 101, 253, 475, 529, 387, 1893, 5509, 5763, 29555, 13307, 30001, 105057}},
+{14340, 18, 15616, {1, 3, 3, 5, 17, 23, 127, 161, 375, 817, 1229, 1197, 1097, 3053, 14351, 21213, 12501, 137397}},
+{14341, 18, 15626, {1, 1, 1, 9, 7, 1, 57, 185, 281, 65, 181, 2483, 4739, 4353, 29837, 40613, 32489, 23317}},
+{14342, 18, 15667, {1, 1, 3, 9, 5, 35, 43, 191, 409, 95, 537, 2465, 515, 1633, 20887, 32535, 43863, 199885}},
+{14343, 18, 15684, {1, 3, 3, 13, 19, 49, 41, 51, 3, 979, 1623, 3323, 7711, 3707, 29417, 58011, 114467, 227499}},
+{14344, 18, 15711, {1, 1, 1, 11, 21, 7, 23, 51, 39, 25, 1971, 213, 369, 9149, 12845, 57631, 16597, 22031}},
+{14345, 18, 15745, {1, 3, 3, 11, 27, 59, 71, 37, 461, 353, 2041, 1961, 4643, 6953, 18129, 60337, 82769, 20819}},
+{14346, 18, 15763, {1, 1, 3, 11, 25, 19, 17, 5, 503, 227, 2021, 733, 2867, 201, 25779, 49811, 81167, 95437}},
+{14347, 18, 15779, {1, 3, 3, 15, 7, 53, 35, 143, 27, 937, 215, 3249, 4151, 1933, 25267, 18047, 35131, 25903}},
+{14348, 18, 15811, {1, 1, 1, 3, 3, 39, 71, 99, 291, 97, 1389, 3803, 2881, 9765, 11277, 20071, 15133, 37349}},
+{14349, 18, 15814, {1, 1, 7, 11, 9, 55, 1, 241, 391, 935, 1555, 3585, 1807, 10057, 2633, 14023, 14409, 199643}},
+{14350, 18, 15817, {1, 3, 3, 3, 19, 9, 57, 237, 107, 869, 147, 2673, 5271, 8999, 20723, 63017, 75989, 20131}},
+{14351, 18, 15853, {1, 3, 3, 3, 25, 11, 61, 77, 119, 657, 2011, 3489, 7835, 4473, 2531, 65231, 104797, 161443}},
+{14352, 18, 15881, {1, 1, 5, 5, 11, 63, 25, 93, 181, 797, 367, 3357, 5291, 5087, 28661, 34093, 75195, 165345}},
+{14353, 18, 15890, {1, 1, 1, 7, 17, 1, 77, 149, 59, 633, 1551, 1305, 7677, 8671, 17457, 64037, 104451, 112387}},
+{14354, 18, 15899, {1, 3, 1, 1, 15, 33, 37, 187, 247, 261, 1101, 3451, 7747, 12197, 22465, 30589, 12573, 204517}},
+{14355, 18, 15905, {1, 3, 3, 11, 3, 39, 71, 139, 145, 139, 101, 2815, 3457, 14033, 4531, 42133, 54147, 71259}},
+{14356, 18, 15915, {1, 3, 1, 1, 23, 37, 19, 113, 443, 57, 439, 2929, 3835, 5431, 11189, 4539, 72531, 124453}},
+{14357, 18, 15937, {1, 3, 3, 5, 3, 17, 21, 217, 41, 665, 1565, 3753, 5289, 9789, 29205, 16453, 88979, 171387}},
+{14358, 18, 15950, {1, 3, 3, 13, 27, 15, 15, 223, 231, 311, 311, 1143, 8113, 13863, 3191, 51103, 109437, 245557}},
+{14359, 18, 16002, {1, 1, 3, 13, 11, 59, 7, 191, 477, 683, 353, 2845, 7623, 9035, 453, 48429, 40111, 162859}},
+{14360, 18, 16041, {1, 3, 7, 5, 29, 37, 55, 59, 259, 851, 861, 1951, 7847, 8537, 30107, 2999, 59137, 155615}},
+{14361, 18, 16042, {1, 3, 7, 11, 3, 13, 73, 147, 393, 327, 1289, 37, 795, 1413, 19215, 28345, 124301, 23135}},
+{14362, 18, 16052, {1, 1, 5, 11, 29, 17, 107, 69, 433, 845, 1351, 2551, 807, 15315, 15511, 39475, 84879, 129405}},
+{14363, 18, 16121, {1, 3, 3, 9, 15, 3, 23, 5, 211, 871, 689, 2319, 39, 2215, 25171, 43169, 113715, 186049}},
+{14364, 18, 16132, {1, 1, 3, 7, 3, 37, 23, 9, 453, 649, 373, 1273, 1539, 6221, 27469, 44675, 13513, 131179}},
+{14365, 18, 16136, {1, 3, 1, 5, 29, 41, 119, 133, 37, 761, 1193, 2311, 4945, 7337, 17027, 12873, 51489, 160633}},
+{14366, 18, 16150, {1, 3, 1, 3, 21, 63, 75, 115, 105, 223, 933, 445, 5789, 4611, 13609, 2873, 16679, 222895}},
+{14367, 18, 16153, {1, 1, 7, 5, 17, 13, 15, 217, 193, 863, 1319, 2337, 3055, 14879, 8669, 5705, 42965, 166443}},
+{14368, 18, 16180, {1, 1, 7, 11, 3, 55, 57, 131, 289, 843, 1693, 881, 6737, 5557, 18365, 12393, 38479, 189177}},
+{14369, 18, 16190, {1, 1, 3, 5, 3, 59, 13, 123, 397, 479, 79, 569, 535, 2529, 26225, 43475, 76925, 187763}},
+{14370, 18, 16192, {1, 1, 5, 15, 15, 37, 1, 97, 489, 331, 1499, 1759, 3621, 5373, 1425, 6477, 45805, 235511}},
+{14371, 18, 16195, {1, 3, 1, 3, 7, 51, 55, 157, 61, 751, 1881, 4093, 2557, 11129, 23239, 16335, 8949, 205007}},
+{14372, 18, 16210, {1, 1, 1, 1, 13, 21, 67, 141, 85, 1023, 223, 747, 1951, 10279, 6399, 49887, 100437, 76757}},
+{14373, 18, 16225, {1, 1, 3, 11, 1, 51, 29, 33, 173, 769, 879, 2883, 417, 15031, 13377, 63919, 118803, 87969}},
+{14374, 18, 16256, {1, 1, 1, 5, 1, 1, 17, 153, 81, 691, 961, 3399, 5005, 10617, 18467, 13775, 34905, 241349}},
+{14375, 18, 16266, {1, 1, 1, 13, 7, 37, 57, 187, 389, 575, 1827, 2017, 4541, 10513, 23409, 30945, 126855, 239657}},
+{14376, 18, 16274, {1, 1, 5, 5, 17, 41, 83, 177, 285, 695, 29, 1653, 953, 6377, 13571, 58663, 9265, 100759}},
+{14377, 18, 16302, {1, 3, 5, 3, 5, 13, 27, 153, 207, 699, 1805, 947, 979, 2719, 389, 61953, 16991, 160073}},
+{14378, 18, 16310, {1, 1, 7, 13, 17, 37, 113, 185, 239, 455, 1557, 3201, 1111, 4875, 23197, 41883, 70507, 255047}},
+{14379, 18, 16322, {1, 3, 5, 11, 9, 51, 47, 137, 413, 1015, 259, 1829, 6043, 11757, 22317, 15155, 107827, 171003}},
+{14380, 18, 16339, {1, 1, 1, 13, 27, 7, 49, 91, 285, 13, 2007, 3469, 1223, 2483, 16155, 8413, 10529, 224195}},
+{14381, 18, 16345, {1, 1, 7, 3, 9, 49, 119, 81, 331, 187, 1695, 1729, 533, 6359, 7053, 34665, 37541, 100225}},
+{14382, 18, 16348, {1, 3, 7, 1, 7, 35, 115, 91, 479, 515, 1249, 121, 2885, 16383, 1777, 44205, 86459, 255885}},
+{14383, 18, 16357, {1, 1, 7, 13, 13, 27, 11, 49, 221, 829, 1787, 2889, 3875, 1679, 25333, 1323, 9813, 189373}},
+{14384, 18, 16382, {1, 3, 7, 5, 31, 5, 117, 77, 209, 619, 191, 2969, 2221, 15339, 11461, 64201, 130461, 204467}},
+{14385, 18, 16402, {1, 3, 1, 1, 29, 5, 91, 31, 313, 901, 1501, 2837, 3615, 7765, 341, 13873, 21663, 260637}},
+{14386, 18, 16461, {1, 1, 1, 9, 1, 41, 97, 15, 141, 901, 1309, 3341, 4871, 16033, 12343, 1555, 94989, 78295}},
+{14387, 18, 16469, {1, 1, 7, 3, 3, 15, 1, 29, 445, 59, 475, 3033, 4227, 3219, 6093, 58953, 92179, 49343}},
+{14388, 18, 16474, {1, 1, 5, 3, 27, 25, 109, 13, 219, 983, 131, 2517, 1161, 16063, 32737, 6077, 91183, 37457}},
+{14389, 18, 16483, {1, 3, 3, 1, 3, 1, 85, 147, 17, 543, 1475, 3873, 3719, 2737, 30977, 15953, 66077, 258979}},
+{14390, 18, 16497, {1, 3, 5, 1, 29, 9, 21, 51, 5, 985, 1177, 3287, 2183, 7301, 13713, 53403, 38439, 195863}},
+{14391, 18, 16523, {1, 1, 7, 15, 31, 53, 47, 173, 477, 439, 751, 1019, 3371, 9319, 17995, 29029, 90657, 209277}},
+{14392, 18, 16534, {1, 1, 5, 5, 17, 5, 59, 115, 375, 231, 1891, 1321, 3639, 16117, 32639, 28793, 68213, 41091}},
+{14393, 18, 16550, {1, 3, 5, 11, 17, 15, 13, 11, 459, 767, 849, 1407, 6611, 6409, 21515, 63175, 127155, 171959}},
+{14394, 18, 16564, {1, 1, 5, 1, 17, 49, 61, 161, 399, 137, 845, 2673, 2431, 15343, 389, 42337, 23031, 94811}},
+{14395, 18, 16582, {1, 1, 1, 9, 21, 23, 75, 177, 351, 197, 1619, 2443, 6829, 3773, 16399, 31949, 44975, 221363}},
+{14396, 18, 16591, {1, 1, 3, 1, 11, 19, 103, 61, 135, 863, 1427, 2657, 4553, 1277, 20249, 3973, 25467, 18847}},
+{14397, 18, 16609, {1, 3, 3, 13, 17, 31, 19, 163, 323, 195, 603, 4069, 3181, 12069, 22117, 44229, 23585, 202785}},
+{14398, 18, 16642, {1, 1, 7, 5, 17, 3, 77, 111, 491, 829, 1375, 2829, 5599, 14057, 21387, 52345, 108281, 211285}},
+{14399, 18, 16648, {1, 3, 3, 1, 17, 43, 71, 13, 321, 393, 1803, 727, 5101, 13485, 8693, 60505, 13893, 3467}},
+{14400, 18, 16656, {1, 1, 5, 1, 23, 31, 121, 15, 215, 215, 1113, 3335, 7431, 4863, 31429, 49903, 59403, 60797}},
+{14401, 18, 16662, {1, 3, 3, 9, 21, 43, 61, 171, 361, 323, 1895, 3647, 729, 8809, 9351, 14573, 93593, 17485}},
+{14402, 18, 16665, {1, 3, 3, 7, 7, 19, 45, 247, 203, 757, 1941, 3753, 5317, 13239, 18945, 26173, 43929, 66889}},
+{14403, 18, 16678, {1, 1, 1, 15, 5, 17, 11, 21, 193, 941, 517, 191, 6067, 8403, 27339, 31035, 34767, 28675}},
+{14404, 18, 16701, {1, 3, 1, 7, 27, 59, 27, 7, 491, 551, 867, 3693, 391, 9799, 11051, 28347, 57555, 23079}},
+{14405, 18, 16713, {1, 3, 3, 1, 25, 21, 63, 253, 459, 603, 107, 1229, 1433, 4263, 24341, 20493, 40165, 254725}},
+{14406, 18, 16716, {1, 3, 5, 3, 9, 7, 63, 195, 19, 973, 47, 811, 2207, 3613, 8911, 17495, 62403, 77951}},
+{14407, 18, 16758, {1, 3, 5, 11, 5, 13, 83, 125, 467, 111, 1819, 3807, 4259, 2885, 29577, 13539, 69859, 97379}},
+{14408, 18, 16768, {1, 1, 5, 15, 5, 33, 109, 203, 129, 587, 9, 3025, 2839, 11405, 11257, 7779, 30311, 14015}},
+{14409, 18, 16797, {1, 1, 7, 15, 5, 47, 103, 199, 391, 61, 129, 3511, 1295, 15067, 23919, 2941, 120463, 21665}},
+{14410, 18, 16804, {1, 1, 5, 5, 7, 7, 125, 153, 365, 815, 1423, 4053, 875, 2405, 21291, 26785, 31371, 211045}},
+{14411, 18, 16811, {1, 3, 3, 9, 31, 47, 1, 247, 197, 1019, 985, 2277, 875, 3969, 15093, 15561, 110101, 156547}},
+{14412, 18, 16813, {1, 1, 3, 1, 9, 47, 71, 125, 17, 501, 1783, 2337, 483, 12719, 22453, 16701, 102639, 152955}},
+{14413, 18, 16881, {1, 1, 3, 11, 13, 31, 9, 63, 261, 257, 319, 1443, 5011, 9799, 18639, 53081, 56879, 102335}},
+{14414, 18, 16888, {1, 3, 3, 1, 5, 59, 127, 163, 323, 997, 1755, 1445, 2285, 4935, 22123, 815, 115131, 1009}},
+{14415, 18, 16893, {1, 1, 3, 11, 11, 43, 65, 127, 137, 583, 173, 2601, 5809, 15773, 16129, 2543, 68281, 96107}},
+{14416, 18, 16922, {1, 3, 5, 9, 25, 25, 95, 73, 313, 893, 1805, 2301, 5917, 15159, 8637, 25505, 66053, 31627}},
+{14417, 18, 16937, {1, 1, 3, 7, 25, 59, 55, 13, 297, 849, 187, 359, 3745, 12655, 29293, 58581, 89799, 195867}},
+{14418, 18, 16958, {1, 1, 5, 13, 19, 5, 51, 85, 259, 59, 1003, 2991, 6605, 8405, 5221, 45607, 130729, 99641}},
+{14419, 18, 16965, {1, 3, 5, 5, 25, 61, 51, 211, 143, 233, 1465, 1165, 1769, 3021, 9491, 30335, 34787, 142605}},
+{14420, 18, 16978, {1, 3, 5, 13, 23, 9, 89, 249, 71, 179, 841, 3375, 21, 6757, 27495, 7531, 123725, 253855}},
+{14421, 18, 16980, {1, 3, 7, 13, 9, 33, 109, 103, 475, 781, 493, 2079, 6529, 13443, 2181, 26925, 31345, 142863}},
+{14422, 18, 16989, {1, 1, 7, 9, 15, 41, 17, 85, 503, 839, 533, 731, 2735, 12949, 11395, 22539, 130147, 40045}},
+{14423, 18, 17011, {1, 1, 5, 9, 25, 21, 29, 79, 405, 383, 1271, 385, 7629, 3889, 5319, 57739, 51411, 50895}},
+{14424, 18, 17014, {1, 3, 7, 5, 13, 35, 17, 97, 261, 437, 951, 1403, 2407, 11447, 13565, 10165, 100001, 253093}},
+{14425, 18, 17023, {1, 3, 1, 3, 11, 39, 31, 187, 473, 565, 351, 4007, 2621, 14463, 9009, 40679, 81069, 51131}},
+{14426, 18, 17063, {1, 3, 5, 5, 9, 17, 11, 151, 59, 249, 281, 203, 6423, 4977, 18557, 65383, 88361, 87437}},
+{14427, 18, 17081, {1, 3, 5, 7, 15, 25, 3, 157, 179, 439, 1627, 3493, 6641, 6403, 2361, 3613, 33817, 22585}},
+{14428, 18, 17084, {1, 3, 5, 1, 13, 63, 77, 195, 233, 175, 631, 1021, 637, 13231, 26187, 131, 127379, 256183}},
+{14429, 18, 17099, {1, 1, 7, 9, 5, 13, 15, 187, 55, 37, 1113, 2191, 3439, 1073, 26239, 3049, 19807, 250869}},
+{14430, 18, 17126, {1, 1, 7, 3, 13, 15, 77, 47, 317, 285, 753, 2419, 7795, 11423, 6043, 2913, 42819, 50603}},
+{14431, 18, 17129, {1, 3, 7, 15, 21, 17, 63, 71, 97, 535, 1085, 1531, 5165, 13717, 1537, 26797, 111787, 189403}},
+{14432, 18, 17138, {1, 1, 1, 7, 9, 3, 43, 209, 385, 851, 1411, 4039, 3259, 13387, 24505, 33325, 83741, 241255}},
+{14433, 18, 17164, {1, 1, 1, 1, 3, 41, 13, 43, 303, 445, 1097, 3517, 7753, 8459, 3017, 16385, 13775, 248655}},
+{14434, 18, 17170, {1, 3, 5, 15, 5, 61, 31, 57, 269, 931, 1071, 1137, 6181, 13005, 18493, 1345, 105203, 117309}},
+{14435, 18, 17203, {1, 1, 3, 13, 21, 29, 3, 179, 367, 155, 993, 117, 5849, 10181, 1175, 55769, 16025, 67669}},
+{14436, 18, 17206, {1, 1, 3, 9, 11, 9, 33, 131, 181, 1003, 253, 2759, 1877, 11851, 22959, 37823, 82737, 110329}},
+{14437, 18, 17224, {1, 1, 1, 5, 7, 5, 107, 191, 385, 129, 567, 2585, 7295, 3005, 28185, 7095, 54851, 257587}},
+{14438, 18, 17305, {1, 3, 7, 9, 21, 61, 103, 155, 503, 307, 993, 683, 1491, 14895, 9213, 34535, 17765, 12457}},
+{14439, 18, 17322, {1, 3, 3, 1, 7, 47, 27, 173, 97, 889, 853, 3995, 4943, 71, 20479, 16741, 35479, 35307}},
+{14440, 18, 17327, {1, 1, 5, 3, 15, 35, 29, 207, 117, 267, 1835, 2565, 1199, 3813, 13999, 10537, 129915, 210651}},
+{14441, 18, 17332, {1, 3, 3, 13, 5, 57, 77, 193, 11, 279, 745, 2511, 5775, 13527, 26329, 16303, 111511, 70025}},
+{14442, 18, 17342, {1, 3, 7, 9, 17, 1, 73, 1, 125, 939, 863, 2763, 1951, 3191, 5567, 59729, 32149, 149417}},
+{14443, 18, 17387, {1, 3, 3, 1, 19, 25, 119, 63, 101, 33, 77, 3587, 6367, 8275, 24957, 32087, 7031, 217291}},
+{14444, 18, 17410, {1, 1, 1, 13, 7, 25, 75, 161, 143, 353, 973, 2957, 749, 13519, 11295, 34287, 60727, 83731}},
+{14445, 18, 17419, {1, 3, 7, 7, 17, 9, 59, 45, 97, 619, 895, 1955, 8143, 2507, 4673, 39425, 35679, 152069}},
+{14446, 18, 17429, {1, 1, 5, 9, 31, 19, 115, 177, 349, 877, 525, 305, 2187, 12195, 13529, 61641, 102293, 69941}},
+{14447, 18, 17439, {1, 3, 7, 11, 23, 59, 15, 243, 511, 465, 905, 1979, 2263, 2105, 9009, 3691, 22241, 97765}},
+{14448, 18, 17440, {1, 1, 7, 9, 29, 13, 3, 207, 51, 405, 1703, 1923, 1781, 14723, 8103, 10707, 64799, 99349}},
+{14449, 18, 17457, {1, 1, 7, 5, 23, 29, 51, 63, 489, 273, 1577, 2807, 5427, 9949, 1929, 19791, 109405, 241465}},
+{14450, 18, 17458, {1, 3, 3, 7, 29, 61, 103, 55, 29, 17, 1081, 21, 5791, 9803, 19385, 45091, 118069, 61383}},
+{14451, 18, 17469, {1, 3, 1, 7, 3, 15, 75, 47, 475, 87, 1541, 3933, 1081, 12361, 29213, 64333, 7229, 226909}},
+{14452, 18, 17477, {1, 1, 5, 7, 21, 45, 19, 137, 351, 229, 1773, 1829, 5025, 12661, 18745, 54917, 10419, 176667}},
+{14453, 18, 17512, {1, 1, 1, 3, 9, 37, 81, 25, 11, 327, 1653, 2751, 2823, 12575, 30287, 46265, 17299, 93595}},
+{14454, 18, 17518, {1, 1, 1, 3, 15, 17, 43, 163, 223, 731, 631, 2813, 1723, 6089, 14245, 64339, 114291, 40331}},
+{14455, 18, 17532, {1, 3, 7, 5, 21, 45, 41, 17, 495, 61, 1369, 369, 4493, 12071, 3813, 41455, 62561, 174399}},
+{14456, 18, 17536, {1, 1, 1, 5, 9, 41, 95, 113, 109, 519, 1683, 2265, 2875, 12649, 15575, 53511, 100707, 224035}},
+{14457, 18, 17559, {1, 3, 7, 9, 29, 7, 109, 109, 283, 111, 1167, 3679, 369, 11597, 19459, 759, 128667, 172427}},
+{14458, 18, 17569, {1, 1, 1, 3, 13, 31, 97, 31, 477, 507, 835, 465, 7501, 2485, 19485, 51055, 56363, 229341}},
+{14459, 18, 17641, {1, 3, 5, 11, 3, 23, 67, 173, 99, 963, 977, 1949, 1263, 2427, 15181, 23571, 23509, 26481}},
+{14460, 18, 17667, {1, 3, 3, 1, 29, 3, 35, 191, 197, 277, 397, 205, 5945, 1069, 31789, 3551, 101901, 222609}},
+{14461, 18, 17674, {1, 1, 5, 9, 11, 23, 109, 81, 295, 7, 755, 2345, 2823, 11133, 22623, 14515, 57059, 231099}},
+{14462, 18, 17693, {1, 3, 1, 3, 21, 29, 37, 71, 111, 737, 1881, 871, 5843, 5889, 14615, 49909, 7105, 48335}},
+{14463, 18, 17710, {1, 3, 1, 15, 23, 31, 87, 181, 483, 225, 2003, 365, 1569, 11153, 14673, 30085, 56497, 203723}},
+{14464, 18, 17729, {1, 1, 3, 15, 17, 47, 99, 167, 485, 431, 1481, 2225, 1537, 8513, 19407, 34165, 27289, 84393}},
+{14465, 18, 17754, {1, 3, 7, 3, 11, 17, 115, 205, 403, 831, 1869, 3623, 5215, 15511, 11297, 25181, 127491, 155887}},
+{14466, 18, 17763, {1, 1, 7, 5, 31, 37, 23, 21, 403, 529, 1185, 3363, 6319, 2435, 2687, 39407, 121891, 133047}},
+{14467, 18, 17780, {1, 3, 7, 1, 21, 31, 43, 61, 371, 987, 1783, 3811, 6227, 13199, 31799, 28863, 49329, 73947}},
+{14468, 18, 17784, {1, 3, 1, 1, 13, 1, 5, 99, 35, 793, 483, 2573, 2249, 6345, 12793, 61917, 49419, 58011}},
+{14469, 18, 17790, {1, 3, 1, 15, 3, 45, 35, 189, 67, 447, 1455, 3575, 8191, 7907, 21559, 38211, 26945, 240679}},
+{14470, 18, 17830, {1, 1, 3, 11, 27, 49, 9, 109, 93, 473, 1465, 271, 7389, 47, 8101, 6219, 17437, 220461}},
+{14471, 18, 17851, {1, 1, 7, 3, 23, 31, 75, 61, 375, 901, 1329, 2603, 3469, 12957, 23949, 62183, 126763, 68965}},
+{14472, 18, 17868, {1, 1, 7, 9, 13, 59, 75, 233, 339, 29, 1117, 1693, 593, 15317, 29753, 3079, 43583, 79939}},
+{14473, 18, 17879, {1, 1, 5, 1, 17, 57, 81, 123, 101, 765, 1941, 3143, 7403, 9105, 23197, 28983, 128059, 5931}},
+{14474, 18, 17896, {1, 3, 5, 11, 19, 31, 89, 165, 213, 251, 965, 3203, 1621, 4323, 26877, 17109, 18321, 162413}},
+{14475, 18, 17901, {1, 3, 3, 9, 11, 59, 123, 213, 335, 267, 1767, 3317, 5189, 10149, 27921, 19331, 71541, 170501}},
+{14476, 18, 17916, {1, 3, 3, 15, 3, 3, 115, 235, 305, 219, 265, 1535, 4925, 5597, 20857, 32381, 117237, 197533}},
+{14477, 18, 17935, {1, 3, 5, 13, 13, 59, 93, 85, 419, 337, 513, 2131, 5665, 12229, 1389, 34355, 65485, 81141}},
+{14478, 18, 17953, {1, 3, 7, 7, 11, 59, 111, 219, 293, 289, 325, 623, 3853, 3775, 14771, 5945, 119451, 162861}},
+{14479, 18, 17991, {1, 3, 1, 11, 19, 33, 119, 239, 431, 803, 1119, 2445, 3203, 7219, 31963, 34519, 104953, 254491}},
+{14480, 18, 18009, {1, 3, 7, 9, 21, 53, 21, 115, 365, 419, 11, 3803, 4283, 417, 8937, 64533, 56433, 166025}},
+{14481, 18, 18016, {1, 1, 7, 3, 17, 5, 99, 143, 485, 309, 1255, 2641, 3427, 1681, 3301, 64531, 38629, 20945}},
+{14482, 18, 18034, {1, 1, 5, 1, 31, 3, 115, 217, 451, 5, 1447, 2317, 1725, 12931, 25799, 23569, 51747, 28821}},
+{14483, 18, 18061, {1, 3, 7, 3, 31, 55, 109, 107, 211, 381, 1067, 3973, 5007, 8939, 8605, 55221, 124603, 47115}},
+{14484, 18, 18070, {1, 1, 1, 11, 19, 13, 99, 241, 103, 711, 1823, 2671, 653, 10217, 14195, 39735, 54807, 105599}},
+{14485, 18, 18079, {1, 3, 3, 7, 9, 33, 43, 131, 493, 141, 827, 2909, 2847, 12879, 7879, 6263, 25981, 57323}},
+{14486, 18, 18132, {1, 1, 1, 1, 1, 41, 55, 175, 479, 725, 157, 3403, 5809, 10685, 20433, 21729, 9493, 205685}},
+{14487, 18, 18145, {1, 1, 7, 5, 1, 33, 31, 245, 109, 711, 1047, 941, 449, 1055, 16249, 45211, 48311, 171339}},
+{14488, 18, 18169, {1, 3, 3, 9, 27, 9, 113, 69, 269, 643, 1371, 3521, 4969, 5373, 11133, 63109, 42725, 126969}},
+{14489, 18, 18170, {1, 1, 5, 15, 9, 21, 1, 195, 421, 429, 1103, 2727, 463, 9801, 8955, 62841, 94687, 114509}},
+{14490, 18, 18190, {1, 1, 5, 5, 5, 47, 9, 221, 59, 115, 359, 1147, 749, 1009, 23129, 641, 39471, 23073}},
+{14491, 18, 18192, {1, 3, 5, 13, 27, 29, 19, 3, 121, 773, 625, 2757, 6377, 15867, 14563, 40391, 4351, 21153}},
+{14492, 18, 18201, {1, 1, 5, 9, 11, 25, 51, 101, 273, 541, 1761, 593, 7111, 4369, 30095, 34867, 103989, 19855}},
+{14493, 18, 18228, {1, 1, 3, 13, 27, 55, 79, 115, 105, 855, 627, 2227, 2927, 8757, 8713, 54607, 43671, 130153}},
+{14494, 18, 18243, {1, 1, 3, 5, 7, 45, 21, 71, 157, 773, 1265, 841, 2463, 2217, 6087, 28683, 21251, 72377}},
+{14495, 18, 18260, {1, 1, 3, 1, 15, 11, 117, 211, 223, 713, 545, 907, 6907, 41, 17039, 23079, 86657, 5765}},
+{14496, 18, 18279, {1, 1, 5, 3, 27, 33, 77, 137, 401, 585, 911, 1189, 2749, 3427, 2701, 2453, 84857, 176585}},
+{14497, 18, 18285, {1, 1, 1, 3, 7, 39, 73, 143, 29, 569, 939, 301, 7827, 7691, 11513, 64517, 113679, 234165}},
+{14498, 18, 18297, {1, 3, 1, 11, 29, 57, 127, 181, 175, 973, 1537, 761, 5205, 13641, 32649, 8621, 77509, 261235}},
+{14499, 18, 18300, {1, 3, 5, 5, 13, 19, 117, 225, 477, 297, 1807, 2357, 5653, 3791, 6325, 54877, 120659, 91013}},
+{14500, 18, 18321, {1, 3, 1, 1, 3, 55, 19, 99, 321, 877, 541, 511, 141, 15047, 26377, 9, 2765, 223533}},
+{14501, 18, 18344, {1, 1, 1, 11, 13, 59, 121, 147, 215, 117, 1047, 3055, 2129, 15191, 14425, 28327, 108541, 114275}},
+{14502, 18, 18358, {1, 1, 1, 15, 3, 21, 105, 61, 501, 899, 195, 2745, 5989, 4433, 19525, 35477, 22997, 241657}},
+{14503, 18, 18364, {1, 1, 3, 5, 19, 47, 77, 247, 413, 317, 1255, 2087, 4493, 2211, 9003, 22145, 94001, 50579}},
+{14504, 18, 18376, {1, 3, 7, 11, 31, 47, 25, 191, 65, 409, 1349, 2481, 7619, 223, 18051, 63609, 77187, 75483}},
+{14505, 18, 18390, {1, 1, 1, 9, 21, 59, 115, 251, 401, 91, 627, 3273, 2393, 2949, 11475, 23669, 16171, 77507}},
+{14506, 18, 18399, {1, 3, 5, 1, 19, 7, 65, 253, 217, 493, 227, 3269, 4261, 2295, 32037, 5773, 12925, 41821}},
+{14507, 18, 18400, {1, 1, 5, 11, 5, 31, 71, 205, 285, 37, 1863, 1873, 191, 16137, 2955, 51993, 91401, 206967}},
+{14508, 18, 18427, {1, 3, 1, 7, 23, 31, 21, 81, 37, 903, 817, 3447, 8067, 3087, 25831, 46247, 77255, 68365}},
+{14509, 18, 18443, {1, 1, 7, 11, 7, 43, 21, 243, 431, 633, 2047, 577, 7297, 8151, 15951, 30313, 121569, 241687}},
+{14510, 18, 18487, {1, 1, 3, 5, 7, 45, 35, 189, 381, 849, 1869, 1193, 6815, 9017, 29053, 63605, 113623, 249097}},
+{14511, 18, 18493, {1, 3, 3, 11, 13, 1, 73, 151, 197, 591, 1101, 2437, 6695, 8337, 26539, 40147, 45673, 57727}},
+{14512, 18, 18508, {1, 1, 5, 1, 19, 15, 61, 151, 37, 893, 1819, 2317, 6299, 13097, 5109, 32613, 123685, 128173}},
+{14513, 18, 18532, {1, 1, 1, 7, 25, 29, 29, 203, 179, 211, 1483, 3315, 7125, 6931, 609, 849, 117571, 26829}},
+{14514, 18, 18535, {1, 3, 3, 11, 11, 47, 33, 101, 181, 431, 183, 2777, 5269, 4177, 15727, 717, 111243, 34825}},
+{14515, 18, 18580, {1, 3, 5, 11, 17, 19, 19, 143, 137, 537, 1249, 2889, 1911, 3895, 15433, 60165, 83815, 205569}},
+{14516, 18, 18587, {1, 3, 3, 7, 9, 59, 13, 159, 307, 625, 1, 2887, 3307, 16371, 4269, 56253, 71171, 55543}},
+{14517, 18, 18606, {1, 1, 1, 11, 7, 63, 15, 53, 409, 7, 1317, 473, 7481, 10321, 27941, 4941, 40003, 194153}},
+{14518, 18, 18659, {1, 1, 1, 1, 11, 53, 93, 157, 289, 231, 31, 273, 8131, 7861, 31041, 55221, 58305, 203403}},
+{14519, 18, 18662, {1, 1, 5, 11, 15, 53, 103, 41, 439, 601, 1949, 1087, 4275, 4675, 31879, 40909, 22365, 124781}},
+{14520, 18, 18679, {1, 3, 5, 9, 1, 47, 81, 47, 197, 499, 329, 2387, 5455, 15571, 2289, 44121, 12105, 11883}},
+{14521, 18, 18694, {1, 1, 3, 3, 7, 47, 93, 33, 265, 149, 845, 723, 7783, 6651, 22939, 58027, 66959, 3991}},
+{14522, 18, 18697, {1, 1, 5, 11, 23, 35, 123, 143, 35, 981, 1269, 2853, 4547, 7877, 16181, 17155, 57605, 11589}},
+{14523, 18, 18706, {1, 1, 7, 11, 9, 57, 87, 151, 333, 743, 1939, 3273, 1047, 5033, 16061, 37237, 12013, 17669}},
+{14524, 18, 18708, {1, 3, 7, 5, 29, 15, 109, 185, 51, 159, 1353, 3041, 7821, 14053, 13643, 62045, 78475, 43603}},
+{14525, 18, 18728, {1, 3, 1, 9, 29, 25, 121, 49, 415, 561, 325, 1139, 1993, 6437, 6025, 25225, 20761, 250589}},
+{14526, 18, 18731, {1, 3, 5, 3, 15, 39, 33, 43, 437, 605, 1081, 2397, 3821, 10961, 4853, 19517, 95817, 142023}},
+{14527, 18, 18733, {1, 1, 3, 11, 23, 51, 119, 13, 227, 981, 2017, 3265, 1215, 8737, 10719, 48027, 43239, 19425}},
+{14528, 18, 18751, {1, 3, 1, 15, 5, 5, 33, 175, 509, 611, 451, 2653, 1553, 1941, 25221, 31259, 6027, 159847}},
+{14529, 18, 18766, {1, 3, 7, 11, 7, 25, 71, 61, 89, 775, 609, 2363, 4261, 10677, 1243, 44895, 49113, 209603}},
+{14530, 18, 18773, {1, 3, 5, 15, 23, 23, 3, 15, 489, 455, 1303, 745, 5311, 1639, 18317, 33729, 119303, 255359}},
+{14531, 18, 18796, {1, 3, 7, 5, 13, 53, 29, 127, 159, 67, 469, 1735, 3497, 6985, 24735, 32957, 1225, 24447}},
+{14532, 18, 18811, {1, 3, 5, 5, 9, 13, 119, 83, 387, 777, 361, 3183, 6351, 9071, 13699, 53873, 54663, 67453}},
+{14533, 18, 18823, {1, 1, 5, 9, 17, 33, 9, 159, 143, 193, 1055, 2903, 2719, 12521, 5231, 37639, 94963, 105673}},
+{14534, 18, 18832, {1, 3, 3, 1, 27, 53, 87, 49, 465, 517, 1333, 411, 4089, 9985, 12989, 59511, 49939, 223481}},
+{14535, 18, 18854, {1, 1, 5, 9, 27, 59, 35, 125, 393, 271, 1565, 2847, 8139, 15627, 16059, 55319, 11131, 35141}},
+{14536, 18, 18858, {1, 1, 1, 1, 25, 1, 27, 195, 113, 539, 1281, 2273, 4793, 695, 25599, 41145, 107431, 160137}},
+{14537, 18, 18883, {1, 3, 3, 7, 13, 7, 35, 137, 83, 995, 1671, 1701, 3157, 15583, 7637, 18947, 59675, 9421}},
+{14538, 18, 18900, {1, 1, 7, 15, 23, 37, 109, 93, 377, 885, 1843, 1867, 2013, 10535, 5717, 55463, 18307, 125537}},
+{14539, 18, 18967, {1, 3, 7, 11, 25, 33, 91, 213, 109, 599, 131, 1879, 1375, 2911, 4649, 8809, 41199, 61629}},
+{14540, 18, 18974, {1, 3, 1, 1, 11, 17, 117, 243, 427, 913, 495, 527, 4277, 8867, 3131, 14143, 81677, 177369}},
+{14541, 18, 18990, {1, 3, 7, 11, 11, 37, 71, 185, 487, 161, 1773, 837, 243, 14105, 6881, 2155, 63679, 220387}},
+{14542, 18, 19009, {1, 1, 5, 3, 11, 41, 33, 99, 495, 757, 1083, 1987, 1997, 11057, 18445, 61903, 78163, 121701}},
+{14543, 18, 19055, {1, 1, 1, 1, 23, 37, 9, 19, 411, 11, 1487, 1279, 2129, 7449, 29631, 34559, 129753, 112627}},
+{14544, 18, 19058, {1, 1, 3, 11, 31, 39, 41, 207, 141, 383, 723, 3053, 743, 4479, 12395, 56659, 130303, 152005}},
+{14545, 18, 19074, {1, 3, 1, 7, 27, 25, 19, 37, 29, 781, 1115, 2569, 4113, 14033, 18653, 1055, 50639, 70413}},
+{14546, 18, 19079, {1, 1, 3, 1, 9, 15, 109, 7, 221, 161, 569, 2915, 2717, 2439, 4257, 61851, 113183, 63139}},
+{14547, 18, 19086, {1, 3, 5, 1, 17, 45, 3, 147, 207, 769, 321, 11, 2747, 7189, 8067, 34951, 50851, 42625}},
+{14548, 18, 19128, {1, 1, 7, 11, 15, 53, 117, 161, 219, 937, 1661, 3767, 959, 10351, 26685, 40095, 109821, 140139}},
+{14549, 18, 19145, {1, 3, 3, 9, 15, 47, 61, 35, 289, 743, 1723, 2189, 749, 13499, 22897, 55385, 114953, 67191}},
+{14550, 18, 19163, {1, 3, 7, 3, 23, 19, 123, 217, 393, 889, 1665, 13, 5663, 8695, 29767, 13433, 65133, 226713}},
+{14551, 18, 19175, {1, 1, 7, 11, 5, 57, 59, 171, 321, 519, 1333, 1975, 5331, 2383, 26863, 8989, 82167, 6915}},
+{14552, 18, 19189, {1, 1, 3, 3, 7, 17, 105, 79, 7, 827, 1277, 3805, 5943, 3161, 28953, 15657, 615, 149131}},
+{14553, 18, 19196, {1, 1, 5, 1, 5, 7, 99, 65, 295, 933, 365, 1867, 1959, 10733, 26947, 29659, 121889, 200379}},
+{14554, 18, 19204, {1, 3, 1, 13, 25, 21, 89, 247, 251, 43, 1539, 1317, 1875, 9237, 20693, 58433, 16757, 25451}},
+{14555, 18, 19213, {1, 3, 3, 13, 11, 47, 73, 21, 467, 337, 1881, 2723, 7023, 2767, 12553, 65533, 20517, 203749}},
+{14556, 18, 19237, {1, 1, 1, 1, 1, 17, 85, 133, 369, 577, 71, 859, 8151, 919, 10843, 44017, 10097, 199893}},
+{14557, 18, 19276, {1, 3, 5, 5, 23, 19, 21, 233, 475, 123, 621, 687, 6945, 2373, 6447, 31243, 3525, 256545}},
+{14558, 18, 19287, {1, 1, 7, 5, 9, 5, 35, 21, 33, 353, 1429, 3249, 6159, 8757, 6213, 855, 75863, 74507}},
+{14559, 18, 19291, {1, 1, 5, 11, 29, 21, 45, 155, 369, 769, 1041, 3929, 7377, 1621, 5285, 55213, 66143, 110251}},
+{14560, 18, 19293, {1, 3, 7, 11, 13, 57, 45, 207, 259, 907, 573, 663, 7727, 12677, 5949, 57625, 42183, 217491}},
+{14561, 18, 19304, {1, 3, 5, 3, 21, 63, 113, 159, 87, 551, 1405, 2867, 239, 10941, 27633, 13947, 69689, 225771}},
+{14562, 18, 19371, {1, 1, 3, 1, 1, 59, 5, 41, 125, 707, 1457, 1, 4263, 5519, 26101, 46339, 44949, 63689}},
+{14563, 18, 19379, {1, 1, 1, 1, 11, 9, 65, 155, 3, 85, 273, 2287, 6059, 3289, 19045, 14705, 112465, 202019}},
+{14564, 18, 19381, {1, 3, 3, 3, 21, 49, 95, 75, 479, 519, 1511, 1609, 2421, 14435, 11749, 49627, 16221, 98351}},
+{14565, 18, 19405, {1, 1, 3, 5, 25, 57, 1, 39, 377, 523, 529, 701, 6749, 10109, 15845, 53301, 70979, 210997}},
+{14566, 18, 19417, {1, 3, 1, 3, 27, 29, 101, 87, 361, 1, 229, 2653, 769, 16121, 18221, 31937, 12187, 63801}},
+{14567, 18, 19420, {1, 3, 3, 1, 25, 27, 49, 235, 309, 23, 1625, 589, 1251, 10305, 26943, 38949, 82539, 135491}},
+{14568, 18, 19424, {1, 1, 7, 7, 13, 13, 13, 61, 509, 73, 201, 2309, 1601, 3145, 19867, 5623, 117455, 180681}},
+{14569, 18, 19462, {1, 3, 3, 13, 13, 47, 71, 9, 123, 719, 701, 353, 1877, 3103, 20017, 64731, 72729, 147631}},
+{14570, 18, 19474, {1, 3, 1, 7, 29, 29, 53, 97, 409, 67, 1033, 2403, 2471, 10869, 2837, 43459, 117415, 213371}},
+{14571, 18, 19492, {1, 1, 7, 1, 7, 23, 103, 157, 315, 335, 375, 3493, 4095, 5331, 7773, 64173, 23167, 21259}},
+{14572, 18, 19501, {1, 3, 5, 13, 13, 55, 107, 147, 447, 281, 401, 1897, 7887, 15005, 21645, 26007, 19673, 238931}},
+{14573, 18, 19504, {1, 3, 1, 7, 17, 39, 109, 113, 143, 59, 1095, 225, 1455, 5021, 5011, 2039, 4381, 219847}},
+{14574, 18, 19516, {1, 3, 3, 7, 1, 35, 121, 145, 297, 251, 1153, 1955, 7881, 15461, 26961, 915, 30253, 15289}},
+{14575, 18, 19519, {1, 3, 5, 15, 5, 57, 43, 157, 49, 17, 993, 4085, 5639, 9405, 28661, 30191, 73291, 76913}},
+{14576, 18, 19534, {1, 1, 7, 1, 25, 63, 117, 55, 63, 649, 1635, 2505, 2765, 2715, 30241, 62699, 19567, 65953}},
+{14577, 18, 19555, {1, 3, 5, 13, 21, 49, 111, 127, 179, 819, 1737, 2519, 815, 10541, 15821, 54203, 71767, 7091}},
+{14578, 18, 19597, {1, 1, 1, 3, 27, 41, 101, 139, 39, 995, 819, 319, 1481, 15265, 20611, 22445, 53733, 82871}},
+{14579, 18, 19600, {1, 3, 3, 13, 7, 61, 103, 203, 353, 205, 1927, 2665, 757, 12277, 31217, 22247, 14527, 26385}},
+{14580, 18, 19615, {1, 1, 7, 3, 5, 35, 87, 235, 139, 785, 417, 3975, 6753, 4267, 15201, 8747, 12491, 159979}},
+{14581, 18, 19621, {1, 3, 1, 9, 9, 11, 117, 231, 503, 933, 1461, 2657, 7771, 2161, 26723, 4853, 23215, 162315}},
+{14582, 18, 19646, {1, 1, 7, 15, 27, 25, 115, 9, 257, 89, 571, 41, 2169, 10619, 2695, 2107, 64747, 40489}},
+{14583, 18, 19651, {1, 3, 7, 9, 29, 61, 91, 117, 279, 721, 233, 177, 5509, 7599, 2379, 20297, 75425, 25051}},
+{14584, 18, 19693, {1, 1, 1, 15, 31, 41, 3, 57, 59, 47, 963, 2831, 1885, 1989, 26803, 48243, 112065, 27753}},
+{14585, 18, 19702, {1, 1, 5, 15, 9, 57, 41, 255, 179, 719, 1463, 2857, 285, 9623, 13111, 20415, 28819, 149441}},
+{14586, 18, 19726, {1, 3, 1, 9, 17, 63, 21, 79, 473, 525, 1557, 3205, 7097, 14379, 28039, 30731, 62383, 247429}},
+{14587, 18, 19754, {1, 3, 3, 13, 25, 45, 97, 213, 11, 801, 1519, 1085, 6167, 13701, 6707, 47223, 69923, 66239}},
+{14588, 18, 19759, {1, 1, 1, 13, 1, 1, 9, 21, 363, 729, 1715, 1249, 5299, 11357, 20627, 33559, 84255, 133743}},
+{14589, 18, 19764, {1, 3, 3, 13, 17, 33, 23, 255, 309, 605, 1177, 1305, 2717, 6561, 29193, 7971, 117525, 79139}},
+{14590, 18, 19788, {1, 3, 1, 1, 7, 15, 73, 171, 11, 791, 241, 2641, 5397, 10403, 22207, 64123, 124507, 63855}},
+{14591, 18, 19793, {1, 3, 1, 11, 11, 7, 109, 103, 321, 1009, 1237, 3347, 287, 2389, 16529, 7789, 3347, 97827}},
+{14592, 18, 19836, {1, 3, 3, 3, 1, 27, 17, 9, 223, 755, 559, 3811, 2997, 1543, 23197, 42371, 5837, 13809}},
+{14593, 18, 19855, {1, 3, 1, 3, 7, 57, 31, 23, 35, 329, 1155, 2525, 3029, 5495, 12005, 18045, 4539, 75789}},
+{14594, 18, 19858, {1, 1, 5, 13, 3, 31, 121, 161, 325, 869, 715, 851, 1273, 1871, 22711, 61499, 36291, 11663}},
+{14595, 18, 19880, {1, 1, 5, 11, 7, 39, 23, 139, 197, 47, 513, 373, 6859, 11217, 17725, 60949, 19299, 91425}},
+{14596, 18, 19883, {1, 1, 3, 7, 15, 63, 123, 11, 109, 829, 231, 2591, 7997, 9061, 18647, 3209, 38509, 211219}},
+{14597, 18, 19917, {1, 1, 1, 11, 13, 35, 73, 223, 325, 49, 1317, 4063, 4127, 2755, 555, 51057, 44909, 205723}},
+{14598, 18, 19918, {1, 3, 3, 13, 17, 41, 115, 141, 503, 525, 63, 2487, 3225, 959, 10623, 28577, 89127, 157269}},
+{14599, 18, 19936, {1, 3, 1, 9, 25, 9, 43, 43, 279, 111, 1141, 3033, 7229, 5725, 8277, 59141, 116811, 127945}},
+{14600, 18, 19946, {1, 3, 7, 11, 27, 27, 93, 243, 135, 333, 1475, 1259, 1583, 7191, 6831, 53485, 128819, 174211}},
+{14601, 18, 19954, {1, 3, 3, 3, 17, 17, 43, 251, 433, 1011, 1817, 2835, 7721, 2449, 9463, 23779, 31427, 88127}},
+{14602, 18, 19979, {1, 1, 3, 3, 11, 49, 61, 41, 211, 559, 1761, 1303, 2119, 5743, 25515, 60705, 54405, 241063}},
+{14603, 18, 19993, {1, 1, 3, 11, 7, 61, 15, 115, 29, 35, 187, 3137, 6177, 1449, 32723, 15917, 107851, 101077}},
+{14604, 18, 19994, {1, 3, 5, 13, 21, 7, 11, 231, 417, 73, 1175, 735, 627, 7393, 7233, 39883, 129481, 106733}},
+{14605, 18, 20006, {1, 3, 1, 15, 27, 61, 63, 201, 27, 431, 1127, 1555, 1953, 13051, 18701, 30097, 95549, 198465}},
+{14606, 18, 20017, {1, 1, 3, 1, 23, 25, 43, 85, 291, 85, 1861, 675, 7451, 14701, 3929, 10835, 25569, 154687}},
+{14607, 18, 20032, {1, 3, 7, 15, 5, 43, 91, 225, 283, 259, 1311, 3977, 585, 14803, 14117, 2121, 106981, 157577}},
+{14608, 18, 20038, {1, 1, 1, 11, 7, 51, 49, 115, 477, 861, 1115, 743, 5109, 959, 7105, 9245, 66297, 188751}},
+{14609, 18, 20050, {1, 3, 3, 11, 23, 1, 11, 111, 163, 643, 1907, 3613, 2967, 10071, 6023, 1307, 62341, 241025}},
+{14610, 18, 20080, {1, 3, 5, 5, 15, 29, 31, 43, 445, 219, 1261, 421, 6035, 6461, 25583, 817, 100509, 239637}},
+{14611, 18, 20135, {1, 1, 7, 3, 27, 51, 121, 93, 349, 125, 2013, 1671, 8049, 7807, 7291, 64413, 93625, 245611}},
+{14612, 18, 20142, {1, 3, 3, 9, 11, 1, 91, 137, 501, 617, 1513, 799, 1705, 15737, 14989, 53611, 48781, 64481}},
+{14613, 18, 20159, {1, 3, 3, 1, 21, 55, 95, 79, 383, 617, 1589, 2671, 4057, 13525, 9269, 23539, 13317, 87701}},
+{14614, 18, 20173, {1, 1, 3, 1, 29, 17, 121, 45, 91, 215, 325, 2853, 1213, 10221, 7233, 34063, 21887, 142943}},
+{14615, 18, 20186, {1, 3, 3, 11, 27, 53, 55, 149, 107, 379, 441, 585, 5697, 16353, 5613, 4323, 55315, 197603}},
+{14616, 18, 20229, {1, 3, 7, 3, 31, 9, 71, 175, 485, 35, 675, 2091, 2351, 7985, 14207, 52687, 8559, 1067}},
+{14617, 18, 20234, {1, 1, 5, 15, 29, 37, 9, 73, 357, 961, 489, 875, 7465, 3231, 27821, 42499, 127837, 117215}},
+{14618, 18, 20263, {1, 3, 7, 7, 19, 43, 75, 153, 27, 291, 2039, 2661, 5513, 13429, 27307, 5305, 44771, 200621}},
+{14619, 18, 20270, {1, 1, 1, 15, 5, 39, 61, 107, 201, 485, 319, 335, 5537, 14195, 31861, 63637, 68497, 45637}},
+{14620, 18, 20299, {1, 3, 7, 7, 23, 49, 95, 225, 25, 933, 667, 2993, 2181, 15659, 31343, 20249, 57039, 43399}},
+{14621, 18, 20304, {1, 3, 3, 7, 17, 25, 29, 243, 511, 91, 1409, 203, 2749, 7067, 12471, 41737, 32761, 7535}},
+{14622, 18, 20319, {1, 1, 7, 9, 27, 43, 63, 65, 325, 817, 1127, 2039, 6171, 5867, 10593, 17205, 95913, 207417}},
+{14623, 18, 20329, {1, 1, 7, 3, 3, 51, 107, 153, 193, 579, 593, 2915, 7641, 5157, 1131, 29793, 66579, 81903}},
+{14624, 18, 20337, {1, 1, 5, 15, 19, 61, 125, 107, 235, 513, 1897, 875, 6341, 1817, 10631, 63905, 42993, 150699}},
+{14625, 18, 20353, {1, 1, 3, 11, 27, 1, 93, 107, 325, 459, 1733, 2527, 4557, 2277, 19345, 8205, 67337, 242559}},
+{14626, 18, 20401, {1, 1, 7, 3, 3, 45, 27, 227, 201, 99, 589, 1665, 4851, 2655, 9915, 41321, 59865, 71501}},
+{14627, 18, 20434, {1, 3, 1, 9, 3, 25, 117, 199, 125, 849, 135, 1771, 4743, 13475, 23711, 17389, 52711, 200143}},
+{14628, 18, 20436, {1, 3, 1, 3, 11, 23, 67, 155, 133, 557, 1933, 3169, 1707, 16045, 11039, 13889, 71045, 245885}},
+{14629, 18, 20473, {1, 1, 5, 9, 1, 7, 99, 13, 315, 251, 1289, 225, 2847, 8451, 3139, 46829, 124745, 64825}},
+{14630, 18, 20488, {1, 3, 7, 13, 19, 45, 87, 161, 271, 401, 1995, 935, 1803, 4051, 11709, 26993, 120139, 147895}},
+{14631, 18, 20512, {1, 1, 7, 5, 15, 11, 47, 215, 51, 1019, 2039, 3767, 929, 3845, 3939, 64077, 48115, 61845}},
+{14632, 18, 20515, {1, 1, 1, 5, 1, 39, 15, 77, 179, 13, 1099, 203, 3363, 9071, 12033, 49159, 71137, 124177}},
+{14633, 18, 20517, {1, 3, 5, 5, 1, 31, 83, 219, 387, 347, 1099, 925, 4423, 5081, 15981, 35881, 79131, 248301}},
+{14634, 18, 20530, {1, 3, 7, 3, 25, 19, 53, 43, 347, 845, 1735, 3237, 2795, 2253, 2997, 43729, 122833, 124869}},
+{14635, 18, 20571, {1, 3, 5, 11, 5, 19, 93, 55, 297, 231, 239, 3335, 253, 13607, 16769, 48879, 61439, 54827}},
+{14636, 18, 20574, {1, 3, 7, 11, 11, 55, 121, 73, 19, 1017, 727, 579, 8011, 9559, 15051, 7895, 17609, 103061}},
+{14637, 18, 20589, {1, 1, 7, 5, 19, 47, 85, 195, 75, 1003, 439, 3069, 2107, 12751, 26729, 2329, 1191, 86547}},
+{14638, 18, 20592, {1, 3, 3, 9, 5, 31, 63, 227, 481, 793, 1853, 1491, 2109, 4199, 32149, 45229, 54685, 124819}},
+{14639, 18, 20611, {1, 1, 1, 3, 15, 15, 41, 45, 153, 429, 1691, 1897, 7253, 7239, 26133, 36527, 90319, 186097}},
+{14640, 18, 20613, {1, 3, 1, 13, 15, 33, 103, 113, 121, 387, 177, 1943, 3181, 5483, 18515, 38807, 22655, 59787}},
+{14641, 18, 20628, {1, 1, 5, 7, 15, 3, 53, 155, 99, 133, 579, 2129, 6881, 11091, 26715, 15485, 108071, 230881}},
+{14642, 18, 20637, {1, 1, 3, 13, 25, 61, 91, 81, 9, 1011, 1993, 2485, 3707, 11127, 21279, 15853, 104081, 203769}},
+{14643, 18, 20638, {1, 1, 7, 3, 17, 23, 37, 171, 315, 247, 275, 3215, 7139, 11739, 25859, 34803, 124601, 9169}},
+{14644, 18, 20719, {1, 3, 7, 9, 21, 29, 97, 213, 309, 865, 597, 1811, 5547, 3741, 31927, 53379, 43293, 23589}},
+{14645, 18, 20724, {1, 3, 7, 9, 7, 43, 107, 187, 485, 977, 1329, 3037, 3701, 9667, 13581, 6283, 39221, 63841}},
+{14646, 18, 20772, {1, 1, 3, 11, 3, 51, 117, 45, 293, 409, 689, 153, 1163, 10921, 22709, 30415, 120475, 120751}},
+{14647, 18, 20796, {1, 3, 5, 15, 31, 59, 57, 63, 249, 763, 1627, 3039, 4309, 14115, 25489, 35009, 126609, 146041}},
+{14648, 18, 20799, {1, 1, 1, 9, 3, 47, 21, 183, 495, 361, 1439, 407, 5757, 12645, 11425, 1923, 94511, 205127}},
+{14649, 18, 20816, {1, 3, 1, 9, 15, 5, 101, 107, 385, 175, 791, 901, 4427, 10415, 8163, 14417, 62997, 139309}},
+{14650, 18, 20841, {1, 3, 5, 3, 13, 57, 9, 99, 77, 123, 1607, 3643, 3879, 503, 6021, 60211, 106471, 221801}},
+{14651, 18, 20844, {1, 1, 7, 5, 27, 35, 11, 33, 415, 387, 1461, 741, 55, 15095, 21177, 5715, 109893, 204843}},
+{14652, 18, 20862, {1, 1, 1, 15, 7, 49, 51, 81, 157, 421, 279, 1951, 6847, 10259, 31925, 60761, 12395, 49511}},
+{14653, 18, 20865, {1, 3, 7, 11, 5, 33, 27, 135, 247, 813, 1889, 2547, 2359, 9535, 4141, 59713, 88685, 214641}},
+{14654, 18, 20902, {1, 1, 5, 15, 17, 61, 99, 103, 39, 151, 1033, 2743, 6639, 5271, 22059, 12681, 22763, 88255}},
+{14655, 18, 20938, {1, 1, 7, 13, 5, 11, 39, 139, 353, 989, 1391, 169, 3709, 735, 22965, 227, 103623, 153893}},
+{14656, 18, 20957, {1, 1, 7, 3, 9, 51, 53, 87, 411, 617, 671, 681, 5057, 6003, 23137, 30881, 2289, 187133}},
+{14657, 18, 20971, {1, 1, 7, 7, 17, 59, 77, 219, 25, 53, 145, 129, 4289, 14257, 7159, 44833, 22131, 53393}},
+{14658, 18, 20973, {1, 3, 7, 1, 9, 59, 79, 177, 149, 637, 1641, 3713, 2709, 12321, 5691, 18239, 8617, 225979}},
+{14659, 18, 20981, {1, 1, 7, 5, 9, 9, 67, 51, 451, 815, 295, 813, 1257, 179, 28769, 57241, 51753, 164873}},
+{14660, 18, 20982, {1, 3, 1, 9, 19, 61, 53, 65, 29, 503, 715, 1837, 7487, 16187, 27303, 54681, 98753, 100471}},
+{14661, 18, 20985, {1, 1, 3, 1, 15, 51, 1, 79, 179, 367, 841, 1313, 797, 4777, 1369, 13317, 65059, 204877}},
+{14662, 18, 20991, {1, 3, 5, 9, 15, 19, 109, 45, 473, 517, 1139, 15, 1997, 4245, 11169, 56417, 75017, 37957}},
+{14663, 18, 21012, {1, 1, 7, 1, 3, 41, 75, 95, 59, 503, 1439, 2633, 3527, 5363, 24357, 43659, 10387, 208319}},
+{14664, 18, 21022, {1, 1, 5, 1, 31, 7, 71, 231, 505, 241, 1579, 3517, 3995, 8269, 6793, 15883, 102779, 75589}},
+{14665, 18, 21026, {1, 3, 5, 1, 13, 61, 87, 213, 501, 307, 1629, 2715, 7245, 747, 20601, 28105, 79249, 76231}},
+{14666, 18, 21028, {1, 1, 7, 11, 5, 13, 69, 221, 485, 59, 2027, 483, 6851, 11719, 16787, 54111, 47579, 49959}},
+{14667, 18, 21050, {1, 1, 3, 15, 3, 33, 57, 75, 375, 45, 851, 1673, 8167, 867, 32087, 34157, 96701, 72893}},
+{14668, 18, 21075, {1, 1, 3, 1, 21, 31, 65, 85, 181, 453, 815, 3139, 205, 429, 7451, 50855, 41085, 137927}},
+{14669, 18, 21077, {1, 3, 1, 9, 3, 57, 99, 183, 305, 991, 809, 4021, 3131, 4459, 5839, 32493, 116541, 59329}},
+{14670, 18, 21078, {1, 3, 7, 1, 5, 19, 3, 91, 297, 715, 1081, 445, 393, 12685, 4457, 61437, 103701, 75917}},
+{14671, 18, 21106, {1, 1, 7, 15, 17, 39, 19, 255, 247, 391, 1055, 1241, 4515, 10217, 23363, 40301, 115053, 234349}},
+{14672, 18, 21122, {1, 3, 5, 1, 21, 9, 33, 243, 501, 793, 219, 3595, 2585, 5083, 15377, 35761, 90609, 93761}},
+{14673, 18, 21127, {1, 1, 5, 13, 3, 1, 5, 77, 265, 525, 1107, 1879, 1119, 2277, 30557, 43547, 81947, 134075}},
+{14674, 18, 21155, {1, 1, 7, 5, 11, 47, 71, 83, 255, 183, 515, 2591, 3933, 16025, 16727, 43421, 18725, 106675}},
+{14675, 18, 21167, {1, 3, 1, 1, 5, 17, 57, 209, 509, 421, 1247, 3153, 1835, 8777, 13285, 27699, 34001, 186553}},
+{14676, 18, 21169, {1, 1, 3, 11, 27, 19, 73, 65, 179, 115, 845, 2507, 7673, 14429, 10553, 4999, 82323, 247379}},
+{14677, 18, 21204, {1, 3, 7, 7, 17, 59, 97, 183, 407, 697, 1423, 123, 6479, 3997, 729, 31587, 114383, 61673}},
+{14678, 18, 21230, {1, 1, 5, 9, 21, 23, 21, 153, 187, 255, 125, 1469, 2639, 8099, 29689, 36415, 103959, 231621}},
+{14679, 18, 21256, {1, 1, 3, 11, 19, 59, 115, 205, 123, 133, 1953, 3471, 2495, 329, 32385, 21931, 9691, 51405}},
+{14680, 18, 21285, {1, 3, 3, 13, 7, 7, 115, 65, 301, 621, 1091, 2137, 5729, 5027, 21331, 24803, 114789, 142039}},
+{14681, 18, 21312, {1, 1, 7, 5, 31, 19, 103, 69, 503, 663, 1497, 2867, 5295, 893, 15927, 37513, 94553, 72369}},
+{14682, 18, 21329, {1, 3, 3, 15, 17, 33, 99, 249, 277, 259, 9, 99, 3073, 12017, 14847, 7685, 102499, 26489}},
+{14683, 18, 21351, {1, 1, 1, 1, 5, 23, 31, 45, 29, 483, 1977, 1129, 6925, 2273, 16573, 53039, 90251, 137191}},
+{14684, 18, 21372, {1, 3, 1, 13, 27, 47, 29, 51, 473, 895, 671, 3917, 6905, 15769, 9019, 28879, 120591, 220753}},
+{14685, 18, 21376, {1, 3, 1, 13, 27, 29, 53, 255, 507, 819, 1251, 2463, 1717, 14461, 31997, 30829, 8803, 115539}},
+{14686, 18, 21424, {1, 3, 3, 15, 27, 1, 109, 225, 451, 409, 2025, 2701, 4121, 9949, 1551, 13625, 73577, 211549}},
+{14687, 18, 21448, {1, 1, 1, 3, 23, 57, 49, 35, 365, 711, 2001, 997, 1853, 2913, 15667, 30255, 19535, 2171}},
+{14688, 18, 21465, {1, 1, 7, 1, 21, 37, 127, 3, 117, 449, 1689, 1391, 1427, 12641, 15199, 23769, 66553, 34669}},
+{14689, 18, 21495, {1, 3, 7, 9, 31, 45, 51, 137, 181, 469, 573, 89, 7257, 10991, 30705, 37827, 75071, 152885}},
+{14690, 18, 21509, {1, 3, 1, 1, 19, 13, 55, 223, 261, 353, 1497, 183, 8173, 14421, 9977, 24095, 47215, 155189}},
+{14691, 18, 21550, {1, 1, 3, 15, 15, 41, 31, 105, 459, 27, 299, 159, 2167, 14809, 9983, 2755, 121715, 35921}},
+{14692, 18, 21562, {1, 1, 3, 7, 31, 5, 85, 137, 431, 849, 1479, 2681, 167, 5727, 3211, 30765, 63295, 39509}},
+{14693, 18, 21575, {1, 1, 5, 7, 5, 51, 21, 103, 175, 927, 1115, 1507, 505, 8093, 25831, 54303, 40397, 61249}},
+{14694, 18, 21579, {1, 1, 7, 3, 23, 53, 49, 225, 7, 425, 403, 3949, 1081, 15335, 21737, 647, 107875, 236183}},
+{14695, 18, 21582, {1, 1, 5, 7, 17, 21, 85, 229, 325, 57, 601, 2785, 6417, 5135, 17917, 12861, 97675, 115457}},
+{14696, 18, 21600, {1, 1, 3, 3, 13, 23, 73, 111, 385, 47, 605, 1169, 1729, 2335, 18739, 61293, 41915, 237645}},
+{14697, 18, 21615, {1, 1, 1, 5, 31, 11, 123, 13, 465, 755, 1073, 1885, 2105, 5971, 2347, 10911, 125823, 156037}},
+{14698, 18, 21617, {1, 3, 7, 11, 17, 47, 3, 165, 227, 355, 87, 839, 7741, 12275, 28579, 25337, 87671, 224847}},
+{14699, 18, 21624, {1, 1, 5, 15, 23, 33, 9, 1, 257, 121, 1049, 1009, 187, 9935, 26093, 21921, 130247, 240291}},
+{14700, 18, 21633, {1, 1, 3, 13, 13, 27, 87, 221, 27, 117, 551, 2533, 7611, 5333, 14635, 9911, 37555, 250621}},
+{14701, 18, 21636, {1, 3, 7, 15, 29, 39, 33, 1, 495, 889, 1397, 3415, 7193, 11533, 27379, 36425, 13739, 146635}},
+{14702, 18, 21645, {1, 1, 7, 11, 1, 23, 85, 127, 79, 989, 321, 1913, 7571, 9889, 11803, 1307, 120513, 218077}},
+{14703, 18, 21654, {1, 1, 7, 5, 5, 15, 35, 9, 351, 973, 1455, 2043, 5527, 9431, 16059, 53915, 105785, 180579}},
+{14704, 18, 21660, {1, 1, 1, 13, 13, 45, 15, 41, 131, 463, 1011, 3559, 6393, 4737, 6041, 33073, 60989, 56761}},
+{14705, 18, 21667, {1, 1, 3, 9, 31, 35, 23, 133, 33, 233, 543, 957, 4913, 12441, 10293, 31611, 83383, 154551}},
+{14706, 18, 21702, {1, 3, 3, 1, 29, 37, 117, 247, 345, 197, 1617, 3333, 7901, 8343, 55, 16529, 34627, 172703}},
+{14707, 18, 21714, {1, 1, 1, 13, 23, 51, 7, 219, 503, 215, 375, 2275, 5467, 13953, 13987, 22735, 67505, 185977}},
+{14708, 18, 21719, {1, 3, 5, 5, 29, 53, 85, 147, 167, 409, 853, 667, 4431, 5227, 15535, 34375, 107135, 220637}},
+{14709, 18, 21736, {1, 3, 7, 7, 19, 3, 73, 123, 455, 539, 1735, 1423, 5337, 16311, 15469, 36071, 126437, 219249}},
+{14710, 18, 21767, {1, 1, 1, 3, 19, 49, 17, 133, 101, 1013, 683, 869, 6267, 409, 31379, 2535, 8039, 63205}},
+{14711, 18, 21781, {1, 1, 1, 13, 13, 53, 25, 31, 501, 629, 645, 1811, 3675, 13317, 17009, 7359, 85475, 249823}},
+{14712, 18, 21795, {1, 1, 3, 11, 5, 1, 41, 17, 159, 361, 1439, 2083, 1425, 7221, 9117, 59543, 59285, 188615}},
+{14713, 18, 21841, {1, 3, 7, 1, 11, 27, 71, 121, 471, 749, 1983, 3715, 6463, 5793, 1063, 18201, 189, 243751}},
+{14714, 18, 21853, {1, 3, 3, 11, 19, 17, 15, 175, 379, 683, 1491, 2385, 6981, 1183, 16829, 2103, 9309, 46119}},
+{14715, 18, 21867, {1, 1, 7, 5, 17, 39, 109, 9, 279, 309, 1, 1523, 4551, 3855, 13277, 36125, 54191, 45085}},
+{14716, 18, 21878, {1, 3, 5, 3, 9, 59, 51, 5, 431, 657, 161, 2725, 2401, 9743, 12925, 43501, 51551, 163737}},
+{14717, 18, 21891, {1, 1, 5, 3, 9, 13, 7, 177, 121, 795, 1169, 3169, 3793, 3995, 29027, 32967, 82273, 207939}},
+{14718, 18, 21897, {1, 3, 7, 13, 1, 1, 31, 91, 245, 775, 1589, 2263, 6303, 15787, 3111, 52553, 52507, 183971}},
+{14719, 18, 21954, {1, 3, 5, 11, 15, 49, 73, 191, 67, 449, 1245, 2445, 5617, 8625, 27971, 35939, 76907, 76207}},
+{14720, 18, 21956, {1, 3, 1, 11, 15, 47, 29, 91, 437, 895, 1941, 249, 2739, 15479, 29699, 7257, 39897, 65985}},
+{14721, 18, 21965, {1, 3, 5, 7, 13, 23, 45, 113, 297, 373, 1505, 2317, 7509, 12059, 13737, 29081, 87337, 221917}},
+{14722, 18, 21977, {1, 3, 3, 3, 1, 5, 13, 215, 221, 461, 1337, 3569, 2257, 12135, 14685, 39721, 16723, 234791}},
+{14723, 18, 21978, {1, 1, 7, 5, 11, 25, 71, 103, 87, 533, 779, 379, 6695, 13451, 24801, 49235, 35109, 100865}},
+{14724, 18, 21983, {1, 3, 3, 15, 13, 51, 27, 11, 279, 847, 135, 1119, 2765, 3805, 20273, 29089, 83379, 190353}},
+{14725, 18, 22002, {1, 3, 7, 5, 17, 29, 111, 35, 189, 273, 503, 541, 6691, 9051, 10403, 7559, 54787, 25403}},
+{14726, 18, 22013, {1, 3, 5, 9, 21, 29, 85, 235, 223, 677, 71, 1313, 6587, 10983, 199, 27721, 78627, 105505}},
+{14727, 18, 22014, {1, 3, 1, 3, 13, 3, 123, 115, 173, 907, 1555, 1489, 2745, 6451, 25347, 24105, 66471, 181009}},
+{14728, 18, 22054, {1, 1, 7, 1, 31, 15, 13, 97, 511, 827, 1193, 3081, 1517, 13511, 24887, 39239, 85175, 150213}},
+{14729, 18, 22058, {1, 1, 1, 5, 17, 39, 121, 67, 207, 877, 1885, 171, 2687, 13081, 27267, 58699, 118575, 213025}},
+{14730, 18, 22066, {1, 1, 3, 9, 9, 27, 101, 215, 31, 37, 1629, 3631, 3225, 9667, 31547, 41939, 38683, 150805}},
+{14731, 18, 22085, {1, 3, 1, 11, 11, 59, 17, 15, 187, 667, 747, 2193, 6749, 6019, 31805, 52433, 4141, 52613}},
+{14732, 18, 22103, {1, 3, 3, 13, 9, 1, 51, 101, 213, 881, 899, 2197, 3017, 1591, 9271, 44017, 99893, 192005}},
+{14733, 18, 22138, {1, 3, 7, 13, 23, 41, 79, 83, 123, 585, 49, 849, 2133, 12473, 6907, 15487, 45783, 46609}},
+{14734, 18, 22140, {1, 3, 7, 13, 27, 23, 71, 13, 319, 903, 1123, 933, 2603, 11631, 19953, 47001, 127751, 84547}},
+{14735, 18, 22153, {1, 1, 1, 15, 3, 61, 79, 231, 43, 217, 801, 997, 6545, 13657, 25589, 30435, 49497, 1037}},
+{14736, 18, 22164, {1, 3, 3, 3, 21, 29, 121, 35, 129, 239, 1645, 3147, 7647, 1201, 19287, 7075, 67961, 62481}},
+{14737, 18, 22167, {1, 3, 7, 7, 3, 23, 45, 177, 469, 897, 359, 2521, 2079, 985, 14993, 56813, 20667, 187341}},
+{14738, 18, 22189, {1, 3, 5, 7, 23, 53, 15, 45, 297, 93, 247, 1165, 2683, 5899, 7113, 14859, 22733, 173835}},
+{14739, 18, 22202, {1, 1, 3, 15, 23, 17, 43, 179, 103, 197, 1857, 323, 267, 12417, 2343, 41527, 12243, 112023}},
+{14740, 18, 22212, {1, 3, 7, 13, 7, 43, 75, 19, 169, 621, 735, 141, 3087, 765, 5901, 34029, 117603, 5137}},
+{14741, 18, 22234, {1, 1, 3, 5, 15, 17, 67, 177, 371, 249, 99, 1651, 3701, 343, 435, 50307, 33915, 115391}},
+{14742, 18, 22239, {1, 1, 3, 13, 19, 53, 69, 1, 435, 71, 339, 2289, 1591, 8783, 8087, 25855, 115311, 191115}},
+{14743, 18, 22245, {1, 3, 5, 11, 1, 55, 59, 7, 101, 655, 353, 483, 5681, 12721, 15973, 51377, 94921, 246365}},
+{14744, 18, 22272, {1, 3, 5, 3, 25, 23, 99, 145, 277, 741, 595, 2653, 1393, 2867, 271, 49131, 111973, 118869}},
+{14745, 18, 22308, {1, 1, 7, 13, 11, 51, 127, 27, 305, 265, 1755, 3189, 4679, 9721, 24409, 46941, 94353, 95643}},
+{14746, 18, 22318, {1, 1, 5, 11, 1, 63, 53, 149, 459, 155, 1431, 3969, 3417, 12121, 14535, 52089, 110745, 57}},
+{14747, 18, 22320, {1, 1, 5, 9, 23, 33, 17, 175, 313, 185, 101, 531, 2941, 14999, 31413, 12103, 33709, 260555}},
+{14748, 18, 22338, {1, 1, 3, 13, 3, 11, 67, 95, 211, 673, 23, 2379, 6985, 12101, 13021, 9255, 116437, 228877}},
+{14749, 18, 22350, {1, 1, 3, 15, 7, 51, 25, 109, 45, 691, 869, 485, 111, 11465, 27953, 54375, 10805, 221023}},
+{14750, 18, 22374, {1, 3, 7, 7, 17, 53, 59, 101, 221, 593, 587, 873, 931, 14617, 12067, 58655, 102437, 31675}},
+{14751, 18, 22388, {1, 1, 3, 15, 25, 57, 35, 231, 491, 671, 933, 3525, 1237, 10155, 27501, 50781, 23183, 108283}},
+{14752, 18, 22391, {1, 3, 5, 5, 31, 63, 117, 205, 199, 841, 1455, 3901, 2127, 13573, 20667, 49489, 60217, 197421}},
+{14753, 18, 22422, {1, 1, 3, 7, 15, 21, 73, 211, 421, 873, 607, 709, 9, 10985, 28653, 64579, 118145, 3095}},
+{14754, 18, 22426, {1, 1, 1, 13, 17, 53, 27, 105, 201, 399, 737, 3235, 1287, 13859, 6049, 62249, 88259, 52991}},
+{14755, 18, 22441, {1, 3, 7, 7, 25, 45, 67, 147, 275, 315, 1675, 2289, 4611, 6325, 26617, 38079, 125219, 23569}},
+{14756, 18, 22481, {1, 1, 7, 7, 9, 61, 115, 251, 297, 691, 1881, 1815, 7229, 10859, 8257, 38097, 87927, 162845}},
+{14757, 18, 22488, {1, 3, 3, 9, 9, 59, 17, 207, 433, 825, 93, 697, 7263, 15983, 14829, 47471, 17579, 151519}},
+{14758, 18, 22500, {1, 1, 1, 11, 21, 31, 7, 41, 383, 731, 2033, 3417, 4187, 5515, 10093, 15875, 78551, 2057}},
+{14759, 18, 22517, {1, 3, 7, 15, 5, 29, 7, 171, 129, 727, 1815, 1361, 6137, 10333, 22203, 361, 92437, 6545}},
+{14760, 18, 22531, {1, 1, 3, 13, 25, 45, 111, 69, 333, 365, 765, 2755, 3485, 2729, 23467, 64809, 120755, 169279}},
+{14761, 18, 22552, {1, 1, 3, 1, 19, 13, 33, 165, 157, 429, 1175, 3435, 7523, 5055, 12295, 34309, 36933, 164037}},
+{14762, 18, 22574, {1, 1, 3, 11, 31, 49, 37, 161, 465, 311, 1839, 689, 6837, 13473, 29883, 61587, 86077, 156921}},
+{14763, 18, 22579, {1, 3, 3, 1, 3, 23, 69, 159, 501, 303, 1495, 9, 6055, 545, 12247, 23413, 67247, 38137}},
+{14764, 18, 22582, {1, 1, 5, 15, 5, 39, 107, 121, 295, 167, 1055, 2703, 147, 7291, 3981, 51989, 92953, 225987}},
+{14765, 18, 22586, {1, 3, 1, 1, 21, 5, 91, 129, 57, 53, 365, 2497, 5017, 13535, 19305, 60447, 115467, 225317}},
+{14766, 18, 22594, {1, 3, 1, 7, 25, 17, 51, 15, 119, 1013, 719, 991, 2655, 12587, 15749, 11723, 18461, 155937}},
+{14767, 18, 22611, {1, 3, 7, 3, 25, 33, 59, 135, 501, 813, 235, 3775, 2781, 13137, 32673, 31643, 78881, 207651}},
+{14768, 18, 22614, {1, 1, 7, 13, 27, 51, 99, 189, 187, 577, 941, 1275, 7297, 14731, 12599, 49049, 96439, 35093}},
+{14769, 18, 22700, {1, 3, 1, 15, 9, 45, 1, 149, 305, 231, 935, 1377, 6345, 14795, 20969, 26263, 5711, 146949}},
+{14770, 18, 22711, {1, 1, 5, 9, 5, 9, 47, 127, 105, 517, 671, 67, 4639, 2477, 23109, 56707, 72131, 100709}},
+{14771, 18, 22749, {1, 3, 5, 3, 21, 23, 7, 193, 491, 197, 319, 3207, 2183, 2133, 3127, 34555, 53707, 170875}},
+{14772, 18, 22759, {1, 1, 3, 9, 5, 23, 109, 91, 359, 913, 179, 1031, 3617, 12497, 23299, 53293, 114603, 9931}},
+{14773, 18, 22774, {1, 3, 1, 5, 1, 47, 73, 103, 333, 483, 1015, 3085, 5229, 3171, 16539, 13493, 68957, 177645}},
+{14774, 18, 22777, {1, 1, 1, 9, 27, 15, 25, 255, 383, 501, 831, 2463, 237, 16065, 6991, 56503, 117303, 140573}},
+{14775, 18, 22780, {1, 1, 3, 5, 9, 25, 15, 179, 415, 729, 1163, 2649, 2907, 9591, 29129, 42775, 80537, 139897}},
+{14776, 18, 22783, {1, 1, 3, 7, 31, 15, 113, 1, 263, 685, 1953, 1479, 5143, 8585, 9057, 61479, 122065, 191541}},
+{14777, 18, 22785, {1, 3, 1, 11, 25, 47, 25, 229, 463, 197, 1123, 2665, 2345, 11701, 10435, 15205, 35437, 137619}},
+{14778, 18, 22840, {1, 3, 3, 5, 19, 57, 89, 101, 373, 283, 57, 1701, 5025, 6677, 20321, 58459, 9319, 161501}},
+{14779, 18, 22878, {1, 1, 1, 13, 3, 51, 111, 23, 325, 813, 441, 2371, 1993, 6839, 359, 9873, 33719, 208163}},
+{14780, 18, 22884, {1, 3, 1, 11, 23, 53, 35, 89, 91, 601, 433, 1671, 1919, 2115, 6355, 10639, 87305, 194185}},
+{14781, 18, 22888, {1, 1, 5, 9, 29, 31, 43, 153, 209, 835, 865, 2431, 1085, 9771, 14483, 19551, 98673, 146881}},
+{14782, 18, 22927, {1, 1, 7, 3, 7, 33, 49, 111, 111, 843, 479, 2113, 4575, 14911, 5161, 7153, 37525, 217887}},
+{14783, 18, 22941, {1, 1, 7, 9, 27, 5, 23, 217, 11, 79, 1637, 2047, 6697, 5601, 2877, 63497, 100127, 157833}},
+{14784, 18, 22951, {1, 1, 7, 11, 31, 41, 91, 39, 207, 185, 1163, 2115, 2963, 7605, 12597, 54175, 7221, 117129}},
+{14785, 18, 22958, {1, 3, 7, 13, 9, 15, 3, 47, 281, 451, 1111, 3585, 4505, 9465, 8047, 45893, 27179, 124373}},
+{14786, 18, 22980, {1, 3, 5, 11, 27, 29, 11, 221, 483, 29, 17, 1067, 6761, 39, 13419, 7263, 127547, 178951}},
+{14787, 18, 23007, {1, 3, 5, 5, 19, 3, 51, 155, 41, 251, 851, 1191, 4445, 8337, 25339, 32931, 4743, 31883}},
+{14788, 18, 23032, {1, 3, 7, 15, 9, 3, 113, 151, 239, 611, 381, 1141, 2865, 3071, 7293, 61997, 2891, 14533}},
+{14789, 18, 23041, {1, 3, 5, 3, 15, 59, 3, 37, 385, 587, 837, 2483, 5493, 10571, 26129, 44835, 63425, 246953}},
+{14790, 18, 23044, {1, 3, 5, 13, 9, 9, 93, 11, 139, 619, 581, 2859, 5481, 11941, 20661, 37463, 95369, 177009}},
+{14791, 18, 23059, {1, 1, 7, 11, 7, 17, 89, 7, 479, 377, 1631, 509, 7429, 13733, 24011, 24191, 98409, 180761}},
+{14792, 18, 23065, {1, 3, 7, 1, 5, 17, 51, 113, 181, 75, 1787, 2221, 6181, 16069, 3031, 32531, 107833, 239907}},
+{14793, 18, 23072, {1, 1, 5, 11, 3, 25, 13, 35, 311, 865, 873, 1811, 3101, 4445, 18155, 18647, 55693, 144963}},
+{14794, 18, 23137, {1, 3, 7, 13, 1, 9, 73, 189, 255, 301, 1579, 597, 6027, 15621, 27287, 14615, 76051, 143445}},
+{14795, 18, 23144, {1, 3, 1, 13, 19, 59, 11, 97, 501, 857, 1071, 3633, 8059, 2469, 16803, 49395, 73631, 114297}},
+{14796, 18, 23155, {1, 1, 1, 5, 19, 3, 59, 179, 343, 745, 497, 2965, 3841, 3119, 17707, 31577, 39801, 108819}},
+{14797, 18, 23162, {1, 3, 3, 9, 11, 17, 19, 199, 283, 229, 493, 631, 8133, 1531, 25271, 11353, 114759, 70655}},
+{14798, 18, 23167, {1, 1, 7, 7, 3, 11, 1, 95, 167, 863, 1009, 1695, 2773, 11667, 23515, 12927, 87883, 28773}},
+{14799, 18, 23183, {1, 3, 1, 15, 9, 1, 31, 243, 57, 349, 483, 659, 1971, 7971, 23797, 4403, 83837, 239261}},
+{14800, 18, 23192, {1, 3, 7, 5, 11, 17, 55, 5, 209, 233, 1969, 925, 695, 1321, 11965, 29849, 120519, 195105}},
+{14801, 18, 23197, {1, 3, 7, 11, 9, 45, 27, 9, 57, 649, 1801, 2653, 1535, 45, 8901, 28755, 26475, 112341}},
+{14802, 18, 23216, {1, 1, 3, 13, 11, 57, 103, 213, 193, 779, 541, 3685, 4191, 6105, 7199, 63659, 49673, 208361}},
+{14803, 18, 23221, {1, 3, 3, 7, 15, 15, 9, 207, 387, 429, 1213, 1703, 5753, 10261, 8705, 62783, 9643, 248591}},
+{14804, 18, 23228, {1, 3, 3, 15, 23, 17, 5, 83, 295, 685, 2003, 1723, 2799, 14699, 25171, 20275, 45597, 214107}},
+{14805, 18, 23233, {1, 1, 1, 15, 13, 33, 111, 69, 329, 273, 1303, 3377, 4151, 12547, 20411, 54845, 7839, 173939}},
+{14806, 18, 23234, {1, 1, 5, 15, 25, 31, 11, 75, 69, 501, 1485, 3659, 3889, 9715, 9633, 45313, 112377, 27799}},
+{14807, 18, 23251, {1, 1, 3, 11, 31, 27, 7, 25, 315, 593, 315, 275, 1453, 9429, 10023, 17939, 37651, 217435}},
+{14808, 18, 23257, {1, 3, 7, 7, 27, 41, 69, 95, 19, 763, 1733, 2097, 6723, 7051, 15209, 53047, 56117, 87639}},
+{14809, 18, 23258, {1, 3, 7, 5, 15, 61, 31, 19, 361, 571, 727, 405, 835, 4847, 26777, 50311, 104125, 127197}},
+{14810, 18, 23288, {1, 1, 1, 11, 11, 61, 59, 63, 409, 219, 1135, 3385, 5583, 16143, 22709, 31247, 19871, 68557}},
+{14811, 18, 23302, {1, 3, 7, 1, 11, 3, 121, 41, 135, 427, 1267, 2169, 507, 757, 12411, 50655, 75625, 1199}},
+{14812, 18, 23341, {1, 1, 7, 5, 17, 21, 89, 119, 55, 395, 979, 909, 1711, 3289, 8433, 9, 12743, 109027}},
+{14813, 18, 23373, {1, 1, 1, 13, 5, 11, 93, 35, 437, 173, 1157, 2749, 6855, 8307, 26145, 22593, 125415, 65509}},
+{14814, 18, 23402, {1, 1, 5, 3, 25, 27, 1, 173, 113, 373, 1769, 2941, 1895, 3399, 27665, 50613, 20747, 31903}},
+{14815, 18, 23409, {1, 1, 1, 1, 9, 7, 53, 73, 465, 725, 1537, 579, 83, 925, 15507, 13595, 16927, 205087}},
+{14816, 18, 23428, {1, 1, 3, 7, 7, 23, 31, 127, 27, 727, 1305, 3879, 817, 15995, 28607, 22695, 6367, 161587}},
+{14817, 18, 23435, {1, 3, 1, 7, 29, 23, 27, 117, 279, 917, 1105, 2061, 7719, 13633, 16501, 33739, 71939, 143115}},
+{14818, 18, 23440, {1, 3, 7, 11, 7, 27, 65, 133, 411, 441, 925, 1485, 2035, 3067, 14511, 58511, 120773, 228731}},
+{14819, 18, 23449, {1, 1, 3, 9, 21, 55, 27, 73, 175, 395, 1201, 2599, 3839, 11163, 5057, 3385, 43265, 105211}},
+{14820, 18, 23459, {1, 1, 1, 3, 7, 63, 91, 197, 417, 763, 1391, 3729, 2791, 1975, 23655, 50611, 110315, 86879}},
+{14821, 18, 23473, {1, 3, 3, 5, 31, 35, 67, 67, 89, 933, 1005, 1837, 5947, 2559, 27731, 25151, 102959, 81557}},
+{14822, 18, 23500, {1, 3, 3, 1, 3, 39, 57, 199, 87, 91, 1641, 3407, 2823, 10441, 26357, 56677, 17647, 86831}},
+{14823, 18, 23511, {1, 3, 5, 7, 15, 5, 49, 227, 395, 837, 1707, 1677, 1907, 13101, 1929, 61701, 1479, 80671}},
+{14824, 18, 23548, {1, 1, 1, 11, 17, 57, 37, 151, 61, 709, 2027, 2239, 3283, 5467, 17221, 40759, 91637, 258167}},
+{14825, 18, 23560, {1, 3, 5, 11, 27, 29, 121, 181, 503, 705, 225, 1111, 7183, 3219, 3233, 2085, 113619, 32959}},
+{14826, 18, 23563, {1, 1, 7, 5, 29, 31, 93, 113, 457, 161, 337, 2003, 1865, 13357, 19961, 51485, 62751, 111285}},
+{14827, 18, 23594, {1, 3, 1, 1, 23, 25, 65, 99, 11, 835, 661, 3291, 2655, 1135, 19957, 5029, 110483, 2499}},
+{14828, 18, 23601, {1, 1, 1, 1, 25, 21, 59, 203, 471, 697, 455, 1561, 3215, 609, 5097, 8715, 115705, 21441}},
+{14829, 18, 23625, {1, 1, 5, 13, 27, 37, 15, 175, 191, 975, 977, 401, 7053, 14291, 14621, 48989, 113033, 172569}},
+{14830, 18, 23640, {1, 3, 1, 1, 19, 11, 125, 53, 307, 421, 93, 2487, 5907, 2195, 30569, 21009, 20759, 246937}},
+{14831, 18, 23650, {1, 3, 7, 3, 23, 21, 103, 115, 453, 537, 473, 1069, 3007, 15111, 3477, 5635, 46423, 68633}},
+{14832, 18, 23662, {1, 3, 3, 1, 21, 1, 49, 197, 173, 775, 1877, 1309, 729, 3555, 5981, 32539, 22765, 171077}},
+{14833, 18, 23692, {1, 1, 3, 13, 19, 5, 75, 149, 441, 665, 1567, 2433, 8173, 12639, 27479, 47221, 66203, 89017}},
+{14834, 18, 23726, {1, 1, 1, 11, 1, 55, 99, 119, 491, 621, 619, 2521, 905, 11601, 26481, 2023, 127413, 220387}},
+{14835, 18, 23738, {1, 1, 7, 11, 9, 21, 57, 93, 243, 229, 1445, 997, 1317, 2327, 14141, 45787, 82295, 72823}},
+{14836, 18, 23743, {1, 3, 7, 3, 11, 7, 115, 143, 349, 507, 1047, 2573, 2491, 13351, 19019, 4857, 62781, 261261}},
+{14837, 18, 23755, {1, 1, 3, 1, 1, 13, 45, 227, 41, 947, 693, 2853, 7459, 1485, 22087, 61195, 111771, 136389}},
+{14838, 18, 23760, {1, 1, 3, 11, 13, 53, 49, 15, 425, 29, 681, 1493, 1385, 9555, 13291, 36735, 12351, 29293}},
+{14839, 18, 23799, {1, 1, 3, 1, 5, 19, 37, 45, 69, 209, 365, 3949, 6163, 5207, 9297, 21147, 71437, 40487}},
+{14840, 18, 23848, {1, 3, 3, 13, 31, 21, 9, 177, 95, 285, 1953, 1969, 7367, 7401, 12017, 9939, 11895, 213133}},
+{14841, 18, 23859, {1, 1, 7, 1, 1, 63, 103, 141, 39, 679, 123, 2941, 4335, 199, 12237, 6599, 48641, 140063}},
+{14842, 18, 23876, {1, 3, 7, 3, 31, 17, 21, 77, 65, 979, 109, 3325, 1781, 6983, 31477, 23149, 33943, 96137}},
+{14843, 18, 23897, {1, 3, 3, 5, 21, 5, 125, 117, 427, 381, 511, 2643, 409, 4945, 3167, 45879, 1469, 56077}},
+{14844, 18, 23907, {1, 3, 1, 5, 27, 43, 83, 31, 65, 645, 1205, 1387, 723, 15359, 13517, 23601, 61717, 47079}},
+{14845, 18, 23919, {1, 3, 3, 13, 15, 37, 101, 175, 225, 513, 483, 1291, 669, 5335, 16023, 287, 51819, 239803}},
+{14846, 18, 23921, {1, 3, 3, 3, 3, 1, 75, 175, 185, 949, 673, 2239, 4355, 10687, 27093, 37409, 23193, 211819}},
+{14847, 18, 23931, {1, 1, 3, 13, 21, 3, 41, 55, 243, 501, 285, 7, 6291, 7725, 17051, 45753, 115117, 14323}},
+{14848, 18, 23933, {1, 1, 1, 5, 13, 11, 51, 175, 435, 673, 67, 1525, 323, 5739, 19977, 62317, 97511, 130883}},
+{14849, 18, 23943, {1, 3, 5, 11, 7, 11, 97, 59, 295, 409, 453, 2439, 5217, 10315, 469, 31187, 17325, 158079}},
+{14850, 18, 23957, {1, 1, 3, 5, 31, 9, 15, 63, 411, 427, 277, 2687, 5021, 1507, 22453, 35559, 122081, 121669}},
+{14851, 18, 23986, {1, 3, 5, 13, 3, 21, 69, 51, 27, 571, 1981, 2729, 5733, 1225, 26821, 43763, 57355, 169279}},
+{14852, 18, 24020, {1, 1, 1, 13, 31, 37, 33, 19, 313, 341, 1141, 1689, 4511, 789, 15317, 61263, 79371, 65157}},
+{14853, 18, 24043, {1, 3, 3, 15, 27, 41, 107, 23, 499, 339, 273, 1937, 2743, 10879, 27127, 64817, 1217, 45863}},
+{14854, 18, 24064, {1, 1, 5, 9, 19, 43, 125, 223, 473, 489, 1999, 1513, 6479, 9511, 12503, 29419, 22559, 209499}},
+{14855, 18, 24082, {1, 3, 1, 13, 25, 55, 53, 61, 303, 337, 1325, 2525, 6503, 1155, 6841, 58167, 8175, 183949}},
+{14856, 18, 24084, {1, 3, 3, 11, 3, 15, 55, 105, 497, 527, 1007, 3545, 4187, 8723, 12761, 20751, 101583, 225373}},
+{14857, 18, 24088, {1, 3, 3, 9, 19, 59, 57, 215, 313, 871, 407, 2475, 879, 15147, 31945, 23939, 104073, 217619}},
+{14858, 18, 24117, {1, 1, 3, 1, 27, 23, 3, 43, 471, 757, 1525, 3003, 2779, 6731, 12423, 59621, 72935, 192283}},
+{14859, 18, 24149, {1, 3, 1, 7, 13, 23, 13, 91, 95, 745, 639, 2627, 4595, 11735, 4143, 23573, 98647, 171201}},
+{14860, 18, 24165, {1, 1, 1, 15, 3, 61, 33, 181, 351, 777, 1365, 1691, 2465, 5289, 24567, 8059, 95301, 75855}},
+{14861, 18, 24223, {1, 3, 5, 13, 1, 57, 57, 187, 1, 601, 563, 1703, 1307, 14673, 7793, 44589, 7629, 254071}},
+{14862, 18, 24247, {1, 1, 5, 13, 29, 17, 61, 233, 371, 909, 529, 185, 127, 15773, 19529, 49271, 26749, 70869}},
+{14863, 18, 24259, {1, 1, 3, 9, 21, 41, 37, 71, 505, 969, 301, 1667, 5879, 13187, 2461, 17301, 103673, 235133}},
+{14864, 18, 24283, {1, 3, 1, 3, 9, 13, 75, 63, 313, 273, 1061, 3821, 539, 9887, 19775, 17259, 93133, 217245}},
+{14865, 18, 24296, {1, 3, 5, 5, 21, 27, 9, 11, 461, 575, 507, 577, 4559, 9995, 13953, 61023, 121941, 195419}},
+{14866, 18, 24336, {1, 3, 3, 7, 17, 17, 45, 193, 271, 571, 1337, 2107, 1923, 4791, 23773, 60923, 58085, 81219}},
+{14867, 18, 24342, {1, 3, 1, 7, 11, 7, 85, 33, 231, 307, 993, 1509, 1427, 9545, 7919, 39775, 81145, 79139}},
+{14868, 18, 24389, {1, 3, 5, 3, 9, 57, 117, 187, 57, 719, 1635, 2499, 6747, 6649, 22643, 16429, 83233, 122057}},
+{14869, 18, 24394, {1, 1, 3, 11, 7, 39, 103, 221, 167, 181, 1355, 989, 3399, 9471, 10493, 57267, 106551, 158599}},
+{14870, 18, 24414, {1, 3, 1, 15, 23, 19, 29, 11, 355, 923, 1401, 509, 3647, 5663, 2353, 53217, 70687, 145613}},
+{14871, 18, 24424, {1, 3, 3, 11, 11, 5, 21, 107, 177, 429, 119, 1029, 5931, 7543, 15455, 62797, 118095, 35387}},
+{14872, 18, 24441, {1, 3, 5, 15, 19, 53, 17, 215, 279, 497, 1157, 2235, 5541, 5899, 20711, 20843, 113821, 164231}},
+{14873, 18, 24491, {1, 1, 1, 15, 21, 33, 67, 247, 55, 573, 1863, 2703, 5267, 4071, 18235, 44659, 102379, 171529}},
+{14874, 18, 24502, {1, 3, 1, 15, 5, 59, 69, 189, 313, 243, 339, 3097, 4999, 5909, 1903, 56143, 76209, 83073}},
+{14875, 18, 24534, {1, 3, 5, 15, 11, 41, 65, 207, 95, 115, 1203, 3731, 6845, 11173, 8281, 40623, 97119, 218455}},
+{14876, 18, 24540, {1, 3, 7, 13, 29, 57, 5, 31, 255, 539, 107, 953, 3707, 9233, 20295, 17459, 2005, 56193}},
+{14877, 18, 24543, {1, 1, 1, 15, 5, 31, 83, 165, 211, 433, 1411, 2949, 4817, 1645, 1693, 9877, 118493, 142923}},
+{14878, 18, 24549, {1, 3, 1, 11, 19, 61, 35, 21, 159, 159, 1717, 3227, 3351, 8641, 20575, 13721, 114649, 129201}},
+{14879, 18, 24567, {1, 3, 1, 13, 9, 41, 17, 7, 209, 501, 445, 23, 7911, 5867, 30129, 643, 36363, 52037}},
+{14880, 18, 24583, {1, 3, 5, 11, 31, 55, 27, 81, 413, 167, 599, 2231, 7055, 4013, 26729, 63927, 12075, 208123}},
+{14881, 18, 24693, {1, 1, 7, 9, 11, 39, 99, 187, 169, 999, 609, 3647, 2497, 8969, 30919, 29145, 67699, 51601}},
+{14882, 18, 24704, {1, 3, 1, 1, 11, 11, 69, 29, 197, 979, 1135, 869, 5435, 5151, 26349, 55911, 68051, 131849}},
+{14883, 18, 24719, {1, 1, 1, 5, 27, 1, 85, 145, 439, 585, 1713, 677, 1833, 14139, 5547, 31265, 82223, 47605}},
+{14884, 18, 24749, {1, 3, 5, 9, 17, 23, 31, 199, 447, 551, 683, 2977, 7839, 8681, 15923, 61057, 89875, 52945}},
+{14885, 18, 24799, {1, 1, 3, 11, 9, 17, 29, 125, 195, 123, 1259, 2729, 3099, 2229, 9683, 13121, 105399, 111833}},
+{14886, 18, 24830, {1, 3, 1, 3, 1, 47, 93, 117, 461, 633, 1641, 933, 7927, 13569, 483, 28159, 121561, 164325}},
+{14887, 18, 24835, {1, 3, 1, 5, 21, 19, 79, 183, 395, 23, 767, 519, 4857, 10385, 12425, 26207, 114623, 37125}},
+{14888, 18, 24907, {1, 1, 5, 5, 9, 47, 67, 217, 499, 843, 1539, 301, 1485, 3157, 22375, 47199, 26215, 182785}},
+{14889, 18, 24917, {1, 1, 1, 13, 9, 37, 87, 49, 445, 681, 1097, 1049, 4093, 13167, 18447, 58243, 41797, 217929}},
+{14890, 18, 24940, {1, 1, 5, 13, 13, 49, 21, 149, 79, 113, 1217, 921, 6321, 9345, 27987, 21723, 49249, 18813}},
+{14891, 18, 24943, {1, 3, 1, 3, 15, 27, 67, 69, 131, 713, 1741, 1955, 5665, 8749, 11971, 11257, 13999, 124535}},
+{14892, 18, 24958, {1, 3, 1, 3, 3, 11, 21, 167, 441, 557, 593, 3261, 3099, 2801, 21725, 23247, 106891, 129187}},
+{14893, 18, 24962, {1, 1, 1, 11, 5, 55, 33, 71, 505, 85, 1609, 521, 5459, 12777, 13007, 255, 67537, 2877}},
+{14894, 18, 24964, {1, 1, 1, 3, 31, 47, 49, 119, 351, 797, 1407, 4089, 2381, 12409, 12849, 23489, 53631, 119387}},
+{14895, 18, 24968, {1, 3, 5, 11, 25, 11, 25, 185, 85, 849, 141, 385, 3663, 13133, 8451, 61463, 35129, 149933}},
+{14896, 18, 25015, {1, 3, 7, 9, 23, 17, 21, 197, 15, 893, 939, 707, 5491, 7249, 14009, 18973, 111545, 36809}},
+{14897, 18, 25024, {1, 3, 3, 13, 23, 15, 19, 193, 223, 627, 1529, 1963, 1003, 7199, 15361, 25233, 110281, 221761}},
+{14898, 18, 25027, {1, 3, 3, 1, 17, 51, 61, 215, 311, 919, 349, 59, 2897, 12137, 5931, 37611, 124387, 83503}},
+{14899, 18, 25033, {1, 3, 7, 9, 13, 47, 53, 139, 481, 733, 389, 1209, 3281, 593, 29103, 61521, 41445, 11015}},
+{14900, 18, 25041, {1, 1, 1, 13, 3, 31, 19, 47, 151, 883, 1707, 827, 2129, 4333, 871, 42967, 79701, 192211}},
+{14901, 18, 25047, {1, 3, 3, 11, 11, 51, 121, 241, 199, 881, 1493, 2381, 5161, 13287, 8155, 52481, 120307, 206203}},
+{14902, 18, 25057, {1, 1, 1, 13, 15, 37, 27, 151, 17, 851, 1343, 1447, 43, 10267, 18267, 21347, 129277, 83987}},
+{14903, 18, 25082, {1, 1, 3, 3, 13, 17, 53, 217, 253, 853, 1461, 1953, 617, 4209, 9925, 377, 42789, 150415}},
+{14904, 18, 25093, {1, 3, 7, 11, 13, 23, 83, 235, 39, 701, 1091, 25, 1807, 15431, 2169, 5339, 123679, 117053}},
+{14905, 18, 25105, {1, 3, 7, 13, 3, 29, 43, 149, 33, 873, 1177, 1961, 7943, 11317, 30725, 55765, 50929, 12335}},
+{14906, 18, 25112, {1, 1, 3, 5, 25, 1, 91, 121, 295, 25, 1743, 2125, 2643, 11175, 15089, 44979, 28355, 543}},
+{14907, 18, 25117, {1, 1, 1, 13, 27, 27, 43, 195, 377, 821, 437, 3445, 2673, 15221, 15101, 25143, 22347, 218549}},
+{14908, 18, 25131, {1, 1, 3, 7, 9, 51, 121, 231, 91, 913, 1325, 167, 8067, 8119, 9307, 33551, 58069, 170567}},
+{14909, 18, 25139, {1, 3, 7, 7, 15, 7, 85, 51, 11, 353, 1117, 2479, 3091, 2377, 23589, 38537, 113047, 261285}},
+{14910, 18, 25194, {1, 1, 3, 5, 15, 33, 61, 145, 147, 815, 767, 9, 2059, 11463, 1883, 8565, 101043, 117565}},
+{14911, 18, 25204, {1, 3, 5, 3, 5, 49, 5, 33, 15, 13, 895, 3973, 7963, 3831, 26817, 10799, 111409, 90679}},
+{14912, 18, 25244, {1, 1, 5, 7, 5, 51, 35, 237, 217, 531, 719, 2711, 1937, 16071, 23233, 22799, 66023, 145739}},
+{14913, 18, 25247, {1, 3, 5, 1, 5, 63, 1, 163, 9, 697, 1379, 2989, 7113, 9821, 15941, 6495, 7825, 29715}},
+{14914, 18, 25253, {1, 3, 5, 7, 9, 41, 113, 173, 151, 963, 2019, 3531, 1133, 4287, 16917, 16929, 12345, 31201}},
+{14915, 18, 25258, {1, 3, 7, 1, 25, 9, 5, 195, 175, 297, 717, 3725, 33, 5155, 4405, 56171, 105597, 132407}},
+{14916, 18, 25275, {1, 1, 7, 7, 3, 59, 115, 95, 227, 951, 843, 619, 7791, 10981, 11773, 57651, 108391, 179561}},
+{14917, 18, 25320, {1, 3, 3, 1, 9, 3, 59, 161, 417, 413, 1933, 1027, 4575, 10427, 15643, 16049, 120089, 176607}},
+{14918, 18, 25338, {1, 3, 3, 3, 15, 1, 83, 195, 59, 859, 1669, 1063, 2069, 15875, 16459, 53741, 114521, 37641}},
+{14919, 18, 25343, {1, 1, 1, 11, 11, 45, 47, 143, 11, 239, 1329, 865, 2693, 899, 26265, 43255, 125679, 130099}},
+{14920, 18, 25351, {1, 3, 5, 3, 31, 51, 95, 127, 79, 167, 117, 3177, 5875, 14039, 20341, 47815, 118799, 211871}},
+{14921, 18, 25358, {1, 1, 1, 1, 3, 21, 65, 203, 11, 565, 537, 1307, 8189, 11423, 7745, 56117, 110959, 95361}},
+{14922, 18, 25372, {1, 1, 7, 7, 21, 63, 63, 231, 441, 127, 1943, 13, 4813, 10607, 23867, 43891, 15801, 173245}},
+{14923, 18, 25399, {1, 3, 3, 5, 25, 23, 123, 133, 129, 303, 1993, 1453, 1109, 4649, 30315, 62399, 121575, 60069}},
+{14924, 18, 25408, {1, 3, 5, 3, 29, 23, 69, 141, 137, 1017, 1915, 35, 3817, 6249, 22427, 7281, 88473, 230167}},
+{14925, 18, 25432, {1, 3, 7, 7, 19, 37, 93, 217, 287, 731, 583, 3377, 2879, 4873, 5549, 52949, 127285, 211173}},
+{14926, 18, 25442, {1, 1, 5, 7, 23, 41, 49, 145, 277, 571, 1225, 455, 2133, 1229, 25421, 20179, 70919, 242825}},
+{14927, 18, 25462, {1, 3, 5, 5, 29, 3, 1, 89, 413, 901, 1343, 3963, 6969, 14649, 18331, 4573, 82077, 100693}},
+{14928, 18, 25465, {1, 1, 1, 13, 31, 53, 107, 95, 151, 539, 1593, 3763, 1007, 8959, 25235, 16461, 121819, 106143}},
+{14929, 18, 25468, {1, 1, 1, 3, 11, 15, 5, 157, 347, 81, 2013, 2025, 6541, 12287, 1315, 23285, 23539, 75027}},
+{14930, 18, 25482, {1, 1, 5, 7, 17, 11, 65, 157, 93, 607, 1445, 4089, 3139, 4699, 1225, 58935, 93673, 146467}},
+{14931, 18, 25489, {1, 3, 3, 13, 29, 59, 69, 141, 257, 463, 93, 649, 8179, 15205, 6943, 45317, 31269, 70825}},
+{14932, 18, 25490, {1, 3, 5, 9, 23, 39, 113, 61, 315, 463, 1739, 149, 6007, 2789, 12021, 969, 18551, 153669}},
+{14933, 18, 25505, {1, 1, 3, 15, 19, 9, 23, 211, 265, 877, 325, 2635, 8131, 4957, 24371, 60975, 3887, 198927}},
+{14934, 18, 25511, {1, 1, 3, 11, 29, 31, 5, 105, 157, 573, 2009, 1701, 1549, 1641, 17429, 13587, 48421, 8675}},
+{14935, 18, 25512, {1, 1, 5, 13, 3, 13, 17, 55, 101, 369, 705, 3635, 5195, 10439, 12881, 21565, 1671, 75489}},
+{14936, 18, 25552, {1, 3, 3, 1, 1, 23, 85, 189, 347, 205, 5, 3465, 3269, 3347, 10163, 26921, 86555, 9387}},
+{14937, 18, 25555, {1, 3, 7, 15, 27, 21, 79, 151, 279, 627, 1093, 1929, 5549, 12141, 5245, 55747, 65939, 193759}},
+{14938, 18, 25595, {1, 1, 1, 5, 5, 23, 57, 235, 143, 129, 795, 35, 4375, 12577, 871, 20879, 82811, 52279}},
+{14939, 18, 25636, {1, 3, 1, 5, 11, 1, 125, 99, 89, 629, 857, 2631, 393, 15075, 27473, 42695, 61505, 239651}},
+{14940, 18, 25672, {1, 1, 5, 1, 9, 11, 55, 203, 453, 677, 259, 1979, 4101, 16067, 26783, 17907, 75349, 62797}},
+{14941, 18, 25685, {1, 3, 7, 5, 5, 19, 85, 165, 341, 405, 1779, 87, 889, 265, 9851, 36175, 69697, 123769}},
+{14942, 18, 25696, {1, 3, 7, 1, 7, 49, 93, 57, 85, 597, 183, 3253, 6301, 9307, 8753, 38133, 58743, 19621}},
+{14943, 18, 25720, {1, 1, 3, 9, 1, 15, 125, 215, 391, 141, 87, 37, 4333, 5033, 30549, 64281, 18577, 156093}},
+{14944, 18, 25730, {1, 3, 3, 15, 17, 25, 29, 81, 339, 865, 1619, 773, 901, 8163, 22275, 57159, 119951, 137451}},
+{14945, 18, 25735, {1, 3, 5, 15, 7, 57, 113, 221, 13, 49, 1653, 3695, 4423, 4383, 28669, 64175, 130355, 202543}},
+{14946, 18, 25753, {1, 1, 3, 9, 29, 21, 19, 119, 409, 717, 1853, 3981, 4489, 3985, 31205, 10423, 13223, 131973}},
+{14947, 18, 25756, {1, 1, 3, 15, 29, 7, 1, 85, 133, 345, 317, 2363, 7803, 4975, 19441, 10497, 42059, 131531}},
+{14948, 18, 25769, {1, 1, 7, 13, 3, 53, 49, 27, 487, 901, 801, 335, 6317, 14205, 26655, 52747, 102659, 231359}},
+{14949, 18, 25821, {1, 3, 3, 3, 13, 33, 113, 107, 407, 499, 903, 3059, 1343, 11859, 6315, 23071, 73627, 44239}},
+{14950, 18, 25825, {1, 3, 5, 15, 1, 53, 59, 247, 213, 981, 443, 3, 615, 12067, 3881, 61759, 101219, 110407}},
+{14951, 18, 25840, {1, 3, 5, 13, 7, 31, 87, 161, 61, 1023, 147, 2075, 7245, 9025, 7229, 60935, 104481, 169561}},
+{14952, 18, 25860, {1, 3, 1, 15, 25, 17, 53, 107, 311, 621, 1493, 2443, 4635, 12163, 12543, 43031, 90843, 139645}},
+{14953, 18, 25869, {1, 3, 5, 11, 7, 49, 91, 165, 91, 329, 493, 3533, 7429, 7047, 14767, 31641, 62005, 77267}},
+{14954, 18, 25872, {1, 1, 3, 9, 31, 21, 19, 167, 185, 199, 1989, 1093, 4213, 4769, 21659, 19685, 122123, 215233}},
+{14955, 18, 25956, {1, 3, 3, 7, 27, 23, 99, 205, 365, 689, 1281, 419, 4207, 5355, 20245, 25029, 123029, 61499}},
+{14956, 18, 25973, {1, 3, 3, 7, 19, 15, 29, 185, 165, 203, 1859, 2895, 6361, 6331, 13641, 42577, 33757, 41305}},
+{14957, 18, 25994, {1, 3, 5, 11, 21, 43, 15, 11, 425, 125, 1597, 1109, 3335, 7009, 20799, 41261, 127813, 181261}},
+{14958, 18, 26002, {1, 1, 5, 5, 27, 35, 35, 159, 111, 1011, 1487, 813, 4985, 2555, 23741, 44675, 97159, 250477}},
+{14959, 18, 26020, {1, 3, 3, 7, 17, 41, 81, 187, 367, 767, 1345, 205, 5797, 9129, 21973, 39911, 130131, 96891}},
+{14960, 18, 26023, {1, 3, 5, 1, 1, 47, 57, 177, 127, 791, 1427, 1895, 5995, 12569, 32711, 58599, 55641, 80405}},
+{14961, 18, 26041, {1, 3, 3, 1, 23, 13, 115, 81, 511, 677, 775, 3143, 4963, 7093, 15963, 59893, 22609, 137601}},
+{14962, 18, 26044, {1, 1, 5, 9, 17, 17, 115, 127, 397, 139, 1171, 207, 3485, 15869, 465, 26267, 29957, 205459}},
+{14963, 18, 26069, {1, 3, 7, 3, 9, 29, 23, 189, 447, 481, 753, 2415, 2669, 6007, 15201, 7317, 18861, 173759}},
+{14964, 18, 26097, {1, 3, 5, 7, 13, 43, 13, 163, 363, 683, 1869, 1237, 2523, 3661, 13887, 5593, 91513, 220177}},
+{14965, 18, 26113, {1, 1, 1, 11, 7, 11, 43, 39, 319, 793, 375, 3159, 7621, 8965, 25743, 351, 31873, 18115}},
+{14966, 18, 26138, {1, 1, 5, 5, 11, 57, 79, 147, 55, 553, 417, 1365, 3979, 9789, 22677, 58645, 104549, 9019}},
+{14967, 18, 26167, {1, 1, 3, 11, 17, 37, 127, 5, 165, 867, 79, 2259, 197, 4789, 28109, 46721, 3431, 118939}},
+{14968, 18, 26216, {1, 1, 5, 13, 19, 45, 113, 11, 125, 351, 1753, 3201, 1697, 2567, 9717, 22247, 84309, 248583}},
+{14969, 18, 26230, {1, 1, 5, 9, 5, 37, 65, 47, 261, 855, 1573, 2267, 7977, 13029, 32527, 59805, 103591, 180041}},
+{14970, 18, 26243, {1, 3, 3, 9, 31, 5, 115, 159, 111, 899, 1907, 2671, 1575, 7021, 10281, 34905, 641, 63549}},
+{14971, 18, 26245, {1, 3, 5, 1, 17, 61, 45, 9, 375, 761, 117, 1767, 4657, 12217, 12067, 42807, 118587, 72715}},
+{14972, 18, 26263, {1, 1, 1, 13, 3, 3, 93, 3, 351, 97, 119, 1743, 81, 12761, 22529, 47191, 111315, 256501}},
+{14973, 18, 26264, {1, 1, 5, 7, 29, 23, 41, 9, 231, 567, 1565, 3539, 7241, 11535, 7375, 10391, 127045, 9371}},
+{14974, 18, 26269, {1, 1, 1, 15, 23, 47, 39, 57, 73, 809, 513, 3233, 8071, 8595, 13817, 821, 89091, 107173}},
+{14975, 18, 26311, {1, 1, 1, 13, 13, 43, 75, 239, 487, 175, 1561, 3925, 3743, 14247, 15713, 55005, 116135, 199827}},
+{14976, 18, 26346, {1, 1, 3, 7, 13, 15, 67, 147, 77, 241, 1763, 651, 1107, 4943, 15651, 23259, 45931, 34717}},
+{14977, 18, 26354, {1, 1, 3, 5, 15, 15, 67, 153, 163, 179, 1567, 685, 3245, 2205, 8373, 56567, 32091, 23313}},
+{14978, 18, 26365, {1, 1, 7, 9, 1, 27, 79, 209, 263, 517, 635, 3, 103, 2173, 22659, 11319, 103757, 144449}},
+{14979, 18, 26368, {1, 1, 1, 5, 11, 63, 21, 89, 443, 775, 327, 1559, 1421, 2309, 18597, 46385, 16547, 186813}},
+{14980, 18, 26398, {1, 1, 7, 9, 27, 37, 43, 7, 305, 117, 1103, 1801, 3349, 12225, 28215, 8857, 118677, 88909}},
+{14981, 18, 26401, {1, 3, 3, 7, 15, 59, 21, 19, 371, 81, 755, 1565, 4823, 16363, 20301, 33571, 74423, 177205}},
+{14982, 18, 26426, {1, 1, 3, 9, 15, 33, 23, 31, 171, 713, 271, 2437, 3609, 4271, 24355, 46283, 121767, 188501}},
+{14983, 18, 26436, {1, 1, 1, 1, 21, 3, 3, 241, 339, 211, 443, 1577, 343, 2625, 1077, 29933, 106401, 51439}},
+{14984, 18, 26443, {1, 3, 5, 15, 13, 31, 11, 167, 15, 101, 373, 2095, 3017, 1347, 15029, 6579, 21233, 87589}},
+{14985, 18, 26448, {1, 3, 1, 3, 15, 1, 61, 239, 13, 867, 1621, 2275, 5757, 8275, 7923, 44469, 113513, 84927}},
+{14986, 18, 26458, {1, 1, 1, 13, 23, 27, 101, 25, 459, 517, 127, 1131, 669, 13209, 23671, 3379, 66091, 72919}},
+{14987, 18, 26464, {1, 3, 5, 7, 29, 53, 25, 185, 101, 707, 281, 183, 2823, 7241, 3127, 48093, 20195, 208349}},
+{14988, 18, 26476, {1, 3, 3, 15, 31, 11, 3, 165, 453, 609, 1053, 3937, 1989, 13887, 13415, 8005, 103537, 17853}},
+{14989, 18, 26503, {1, 1, 3, 7, 3, 41, 13, 67, 227, 265, 767, 391, 1835, 8827, 13131, 42605, 117089, 12475}},
+{14990, 18, 26504, {1, 1, 7, 3, 15, 31, 45, 157, 261, 207, 1109, 1587, 5389, 13239, 31697, 35969, 79839, 209633}},
+{14991, 18, 26515, {1, 1, 5, 9, 31, 3, 35, 187, 5, 945, 633, 2645, 171, 2221, 18369, 41765, 82373, 8007}},
+{14992, 18, 26531, {1, 1, 7, 7, 3, 57, 73, 103, 245, 811, 1637, 101, 6335, 9911, 663, 21779, 31681, 119141}},
+{14993, 18, 26548, {1, 1, 5, 13, 27, 25, 5, 203, 183, 251, 1803, 665, 6295, 965, 5269, 379, 78455, 7097}},
+{14994, 18, 26570, {1, 1, 5, 3, 19, 55, 45, 161, 481, 737, 1903, 1093, 3313, 4427, 7959, 6231, 94769, 123827}},
+{14995, 18, 26589, {1, 1, 7, 11, 29, 41, 77, 165, 49, 875, 137, 2003, 8093, 1941, 25979, 10765, 99241, 71275}},
+{14996, 18, 26594, {1, 3, 5, 3, 23, 1, 89, 163, 293, 701, 29, 2543, 4487, 14873, 28123, 48643, 31633, 74179}},
+{14997, 18, 26608, {1, 1, 7, 1, 13, 33, 33, 173, 111, 959, 205, 1633, 3127, 3963, 6455, 41809, 60655, 247121}},
+{14998, 18, 26623, {1, 3, 5, 13, 1, 49, 87, 217, 381, 125, 823, 837, 3967, 8157, 11097, 35721, 93591, 3939}},
+{14999, 18, 26678, {1, 3, 7, 1, 7, 27, 29, 21, 295, 127, 823, 2409, 1873, 2417, 27961, 39211, 14785, 71557}},
+{15000, 18, 26690, {1, 3, 1, 5, 31, 59, 43, 121, 217, 417, 2029, 3983, 5629, 10447, 1073, 57515, 58849, 178927}},
+{15001, 18, 26709, {1, 3, 3, 11, 5, 59, 45, 39, 269, 483, 757, 3245, 4383, 11127, 26535, 17395, 60953, 259333}},
+{15002, 18, 26725, {1, 1, 1, 5, 5, 49, 81, 241, 371, 353, 1293, 3375, 6725, 11891, 5973, 13901, 37999, 17751}},
+{15003, 18, 26744, {1, 3, 3, 7, 31, 21, 45, 107, 33, 911, 1869, 2643, 2655, 3979, 5509, 33065, 128463, 246937}},
+{15004, 18, 26763, {1, 1, 1, 1, 31, 33, 99, 29, 485, 11, 1423, 1775, 2045, 741, 30691, 53957, 13891, 57303}},
+{15005, 18, 26765, {1, 1, 7, 13, 7, 37, 117, 121, 51, 743, 887, 1769, 1049, 12859, 1663, 27763, 90969, 38935}},
+{15006, 18, 26768, {1, 3, 5, 7, 3, 41, 121, 89, 461, 979, 457, 2973, 8109, 13819, 30237, 54671, 66967, 135233}},
+{15007, 18, 26784, {1, 1, 7, 13, 13, 47, 51, 121, 295, 847, 681, 1163, 8123, 14179, 26561, 54057, 74043, 146155}},
+{15008, 18, 26802, {1, 3, 3, 11, 21, 15, 9, 85, 445, 11, 1525, 3165, 5929, 12481, 10769, 31885, 51487, 248933}},
+{15009, 18, 26814, {1, 3, 1, 9, 25, 41, 59, 139, 293, 1021, 2043, 967, 3949, 7309, 6545, 62761, 37761, 22395}},
+{15010, 18, 26856, {1, 3, 7, 15, 25, 45, 29, 75, 283, 845, 687, 3285, 7263, 10237, 5343, 58635, 85137, 2387}},
+{15011, 18, 26861, {1, 1, 3, 15, 29, 33, 111, 175, 251, 181, 709, 1373, 1661, 1155, 30479, 57823, 28809, 74117}},
+{15012, 18, 26862, {1, 3, 3, 5, 11, 37, 55, 155, 439, 173, 1861, 1713, 1675, 12119, 12531, 50995, 124657, 58321}},
+{15013, 18, 26894, {1, 1, 5, 13, 1, 23, 27, 141, 3, 985, 1439, 781, 7381, 2223, 26673, 46607, 54953, 24547}},
+{15014, 18, 26908, {1, 1, 5, 7, 5, 3, 41, 115, 503, 731, 633, 3631, 3455, 15937, 22639, 41163, 65243, 233749}},
+{15015, 18, 26915, {1, 3, 1, 1, 5, 57, 89, 35, 53, 653, 1763, 1247, 6999, 1811, 28191, 52327, 129421, 191093}},
+{15016, 18, 26929, {1, 3, 3, 9, 3, 27, 107, 13, 475, 409, 1623, 483, 3127, 12841, 4777, 36157, 24967, 89795}},
+{15017, 18, 26930, {1, 1, 3, 5, 7, 29, 15, 225, 257, 923, 251, 21, 4559, 3571, 9351, 1739, 37393, 170789}},
+{15018, 18, 26939, {1, 3, 7, 5, 11, 7, 107, 237, 343, 665, 767, 2293, 4781, 4811, 11227, 25045, 3951, 44307}},
+{15019, 18, 26941, {1, 3, 7, 7, 13, 31, 47, 9, 121, 441, 1011, 2015, 8053, 355, 13441, 23213, 60675, 259761}},
+{15020, 18, 26987, {1, 1, 5, 9, 21, 61, 85, 141, 271, 577, 17, 243, 3049, 2479, 28947, 53351, 67379, 211133}},
+{15021, 18, 27023, {1, 1, 1, 15, 23, 1, 119, 141, 311, 543, 1463, 3633, 8111, 9439, 4147, 64913, 28261, 197217}},
+{15022, 18, 27066, {1, 3, 1, 15, 15, 33, 125, 231, 225, 797, 605, 259, 3673, 10423, 7541, 26289, 61681, 136463}},
+{15023, 18, 27079, {1, 3, 1, 13, 23, 15, 15, 151, 289, 657, 1883, 2923, 6861, 1411, 17159, 9353, 79463, 135813}},
+{15024, 18, 27086, {1, 3, 7, 11, 5, 59, 101, 167, 291, 63, 753, 1105, 8173, 2389, 22097, 7207, 110377, 15797}},
+{15025, 18, 27091, {1, 3, 7, 15, 7, 9, 7, 135, 303, 675, 1803, 2827, 1711, 9543, 16567, 24075, 17065, 22193}},
+{15026, 18, 27113, {1, 3, 5, 7, 17, 7, 125, 57, 423, 733, 1813, 4031, 713, 10687, 27315, 37599, 78807, 103429}},
+{15027, 18, 27157, {1, 1, 5, 15, 21, 11, 87, 21, 415, 571, 1169, 2561, 7071, 12499, 195, 20111, 116757, 157731}},
+{15028, 18, 27174, {1, 3, 3, 15, 7, 33, 11, 241, 23, 189, 599, 2891, 2829, 13327, 21777, 57733, 38583, 162161}},
+{15029, 18, 27188, {1, 1, 1, 15, 3, 49, 7, 143, 291, 301, 1439, 793, 3447, 1167, 2815, 24875, 117437, 112561}},
+{15030, 18, 27191, {1, 3, 5, 13, 29, 11, 51, 255, 365, 741, 1919, 2091, 2865, 12721, 4329, 37281, 128703, 739}},
+{15031, 18, 27197, {1, 1, 1, 13, 19, 31, 39, 141, 81, 133, 297, 3837, 7537, 16043, 11755, 10289, 74399, 95371}},
+{15032, 18, 27206, {1, 1, 7, 5, 21, 35, 125, 109, 241, 217, 1219, 2617, 1925, 9573, 19305, 44689, 89365, 248869}},
+{15033, 18, 27210, {1, 3, 5, 5, 13, 33, 43, 221, 325, 267, 837, 809, 6025, 9847, 9267, 13465, 45937, 204339}},
+{15034, 18, 27245, {1, 3, 1, 3, 25, 53, 85, 249, 105, 619, 917, 1213, 5365, 6197, 22929, 27529, 71011, 141651}},
+{15035, 18, 27254, {1, 1, 5, 1, 29, 9, 27, 161, 269, 775, 1043, 303, 4503, 5059, 479, 17237, 51383, 152495}},
+{15036, 18, 27383, {1, 3, 1, 5, 19, 5, 127, 139, 1, 461, 943, 593, 7457, 3357, 1909, 64633, 91811, 92703}},
+{15037, 18, 27387, {1, 1, 5, 7, 1, 21, 83, 29, 123, 83, 1085, 2727, 651, 15801, 20561, 34821, 17671, 162227}},
+{15038, 18, 27416, {1, 3, 7, 1, 19, 59, 33, 195, 81, 69, 51, 1473, 3873, 4247, 3587, 4293, 30831, 245345}},
+{15039, 18, 27422, {1, 3, 1, 3, 23, 27, 19, 115, 275, 293, 705, 131, 1001, 8881, 30165, 25149, 38679, 175167}},
+{15040, 18, 27472, {1, 1, 3, 15, 11, 11, 79, 55, 323, 217, 859, 897, 6567, 12529, 3161, 13009, 100787, 3501}},
+{15041, 18, 27478, {1, 3, 1, 15, 17, 63, 51, 71, 55, 207, 1095, 2527, 611, 9281, 7375, 14553, 16021, 88537}},
+{15042, 18, 27548, {1, 1, 7, 9, 11, 23, 95, 25, 327, 873, 575, 3583, 6587, 137, 23737, 59341, 83281, 93541}},
+{15043, 18, 27579, {1, 1, 5, 7, 15, 37, 89, 105, 471, 757, 103, 3747, 3565, 4957, 23537, 16193, 84843, 256757}},
+{15044, 18, 27582, {1, 3, 5, 1, 15, 17, 119, 231, 387, 715, 797, 3807, 4985, 8335, 4885, 45541, 69597, 238599}},
+{15045, 18, 27589, {1, 1, 3, 1, 7, 21, 87, 205, 39, 503, 433, 3643, 4719, 2051, 10049, 28997, 75981, 253647}},
+{15046, 18, 27593, {1, 3, 1, 13, 9, 21, 103, 63, 27, 267, 185, 3507, 3009, 5183, 2261, 40249, 33733, 70493}},
+{15047, 18, 27613, {1, 1, 3, 13, 7, 7, 79, 13, 141, 327, 1035, 1699, 6273, 5621, 13877, 57607, 50207, 184643}},
+{15048, 18, 27649, {1, 1, 3, 1, 9, 19, 75, 99, 115, 469, 1025, 1999, 1985, 9975, 11069, 59113, 80877, 124153}},
+{15049, 18, 27717, {1, 3, 5, 7, 19, 27, 47, 3, 313, 575, 107, 991, 2575, 11001, 12323, 21443, 126245, 219649}},
+{15050, 18, 27729, {1, 1, 1, 5, 19, 33, 13, 1, 357, 225, 1355, 1827, 7127, 6387, 19299, 24935, 26847, 251433}},
+{15051, 18, 27751, {1, 1, 1, 5, 3, 3, 113, 19, 425, 209, 159, 347, 1349, 6771, 13125, 8393, 21435, 186369}},
+{15052, 18, 27757, {1, 1, 5, 11, 5, 39, 95, 3, 193, 741, 1755, 3361, 1927, 12909, 5413, 29111, 123429, 109191}},
+{15053, 18, 27766, {1, 1, 1, 13, 31, 23, 43, 163, 421, 719, 457, 3149, 7741, 1465, 15719, 42831, 99051, 164675}},
+{15054, 18, 27791, {1, 1, 1, 7, 15, 1, 29, 15, 9, 577, 269, 31, 4361, 5081, 32185, 54869, 115105, 151233}},
+{15055, 18, 27794, {1, 1, 1, 11, 19, 3, 67, 3, 377, 487, 1287, 3463, 6523, 15237, 3171, 38673, 7359, 29739}},
+{15056, 18, 27854, {1, 3, 5, 11, 9, 13, 47, 191, 97, 641, 807, 1085, 1537, 2855, 24615, 32383, 66425, 53713}},
+{15057, 18, 27856, {1, 1, 5, 7, 19, 25, 93, 1, 21, 853, 813, 2535, 4291, 9051, 3385, 507, 73889, 85397}},
+{15058, 18, 27866, {1, 1, 3, 13, 7, 15, 103, 199, 83, 585, 1859, 2089, 839, 8923, 14615, 3399, 7703, 229937}},
+{15059, 18, 27875, {1, 1, 3, 3, 11, 23, 125, 135, 475, 613, 327, 339, 3081, 13221, 4889, 41233, 36547, 195357}},
+{15060, 18, 27902, {1, 3, 7, 7, 19, 23, 85, 217, 501, 447, 1873, 2175, 6753, 2825, 5171, 47561, 13321, 59583}},
+{15061, 18, 27916, {1, 1, 5, 13, 23, 59, 109, 195, 487, 785, 21, 1595, 5641, 10103, 8115, 60647, 78425, 237379}},
+{15062, 18, 27924, {1, 1, 3, 15, 21, 17, 85, 51, 369, 475, 1021, 1129, 7233, 6593, 12467, 55399, 128157, 80539}},
+{15063, 18, 27933, {1, 3, 3, 9, 31, 27, 69, 145, 489, 251, 1997, 1157, 2027, 16109, 4085, 24859, 63561, 79591}},
+{15064, 18, 27940, {1, 3, 3, 5, 29, 49, 41, 185, 405, 471, 431, 3539, 6593, 1185, 24383, 17009, 111215, 79839}},
+{15065, 18, 27947, {1, 1, 7, 3, 3, 15, 97, 157, 301, 227, 717, 3291, 2471, 11515, 30657, 30745, 72147, 98653}},
+{15066, 18, 27969, {1, 3, 5, 1, 23, 21, 67, 223, 185, 385, 137, 2897, 2423, 6119, 28471, 52269, 95725, 9105}},
+{15067, 18, 27981, {1, 3, 3, 11, 19, 1, 111, 131, 293, 495, 1043, 631, 1375, 15347, 22029, 29163, 120025, 81631}},
+{15068, 18, 27996, {1, 1, 7, 5, 17, 55, 47, 183, 367, 81, 555, 2857, 4787, 5605, 32053, 11815, 81771, 234993}},
+{15069, 18, 28005, {1, 3, 7, 15, 15, 49, 45, 221, 49, 299, 887, 3991, 2097, 10819, 23297, 1823, 11319, 205273}},
+{15070, 18, 28030, {1, 1, 1, 1, 1, 15, 91, 253, 213, 849, 501, 1073, 5503, 1379, 28887, 51811, 109763, 226149}},
+{15071, 18, 28064, {1, 1, 1, 7, 27, 39, 17, 29, 359, 655, 1695, 1781, 1203, 1125, 8983, 3477, 13925, 218399}},
+{15072, 18, 28102, {1, 3, 7, 13, 1, 25, 33, 185, 87, 19, 151, 371, 1221, 4859, 20103, 11435, 104263, 218515}},
+{15073, 18, 28108, {1, 1, 3, 5, 17, 43, 29, 149, 207, 39, 1539, 2933, 6825, 12391, 18163, 24543, 35305, 196295}},
+{15074, 18, 28120, {1, 3, 7, 9, 21, 61, 69, 231, 401, 95, 1757, 839, 3395, 7573, 6583, 34621, 119303, 20767}},
+{15075, 18, 28125, {1, 1, 7, 1, 25, 53, 63, 105, 241, 591, 23, 3219, 2387, 13945, 3047, 30939, 63243, 60941}},
+{15076, 18, 28130, {1, 1, 5, 7, 25, 47, 7, 227, 57, 279, 81, 4017, 3117, 6229, 20029, 30031, 25049, 102291}},
+{15077, 18, 28142, {1, 3, 3, 1, 21, 15, 69, 57, 311, 9, 853, 3377, 2949, 4781, 15419, 54741, 11603, 136821}},
+{15078, 18, 28149, {1, 3, 3, 13, 13, 5, 103, 253, 27, 449, 821, 3241, 41, 6643, 15217, 61691, 58463, 46117}},
+{15079, 18, 28165, {1, 1, 7, 7, 27, 51, 1, 239, 71, 955, 145, 1059, 5645, 7025, 4839, 11459, 3051, 235989}},
+{15080, 18, 28169, {1, 1, 5, 15, 15, 13, 33, 21, 209, 681, 1163, 3109, 1441, 6895, 20829, 48769, 35373, 195171}},
+{15081, 18, 28177, {1, 1, 7, 3, 11, 7, 25, 27, 463, 77, 1293, 1977, 4931, 8089, 11079, 14793, 123049, 32259}},
+{15082, 18, 28211, {1, 3, 1, 15, 11, 49, 7, 103, 79, 773, 235, 1653, 6477, 8835, 26627, 61101, 40633, 98155}},
+{15083, 18, 28213, {1, 3, 5, 7, 3, 53, 77, 197, 49, 57, 1533, 3485, 6603, 1131, 9073, 37023, 85293, 170883}},
+{15084, 18, 28220, {1, 3, 7, 15, 23, 5, 125, 75, 413, 521, 1897, 1099, 35, 2013, 687, 51511, 21359, 19995}},
+{15085, 18, 28261, {1, 3, 1, 11, 19, 13, 91, 181, 39, 613, 1917, 3149, 669, 9927, 20967, 38313, 13537, 181873}},
+{15086, 18, 28271, {1, 3, 5, 7, 5, 23, 25, 145, 189, 679, 483, 2689, 2855, 9631, 8863, 34841, 83311, 211507}},
+{15087, 18, 28299, {1, 3, 5, 15, 15, 15, 87, 53, 309, 807, 1405, 259, 3181, 12187, 31529, 8861, 70557, 247787}},
+{15088, 18, 28326, {1, 1, 7, 13, 7, 15, 1, 205, 91, 325, 1371, 531, 4917, 10291, 30827, 32491, 34497, 250301}},
+{15089, 18, 28330, {1, 3, 1, 11, 29, 17, 97, 37, 259, 1021, 1705, 4001, 4385, 7047, 14593, 63443, 3283, 18195}},
+{15090, 18, 28350, {1, 1, 7, 9, 9, 55, 11, 113, 351, 513, 197, 873, 1595, 11331, 27711, 419, 73097, 144357}},
+{15091, 18, 28355, {1, 3, 7, 15, 29, 31, 37, 15, 233, 573, 1457, 293, 5437, 15909, 3087, 24535, 6507, 173555}},
+{15092, 18, 28367, {1, 1, 1, 7, 7, 47, 81, 241, 257, 389, 233, 3275, 919, 14911, 14473, 58457, 78195, 121421}},
+{15093, 18, 28376, {1, 3, 7, 13, 1, 63, 9, 233, 231, 771, 1851, 3829, 7089, 4573, 13297, 58963, 2065, 8365}},
+{15094, 18, 28379, {1, 1, 5, 1, 31, 45, 45, 209, 77, 977, 159, 1521, 969, 10115, 32387, 52821, 124209, 51841}},
+{15095, 18, 28381, {1, 3, 5, 5, 13, 27, 53, 171, 91, 743, 217, 3805, 7721, 15127, 20679, 57459, 53649, 16381}},
+{15096, 18, 28447, {1, 3, 1, 15, 23, 43, 105, 169, 143, 759, 463, 1237, 3311, 2919, 16675, 53049, 12403, 153651}},
+{15097, 18, 28465, {1, 3, 3, 11, 5, 27, 1, 135, 17, 683, 679, 2591, 2929, 12417, 18379, 61903, 81991, 25231}},
+{15098, 18, 28471, {1, 1, 1, 5, 13, 59, 73, 119, 369, 445, 553, 243, 7523, 1105, 20349, 8417, 87535, 148857}},
+{15099, 18, 28472, {1, 3, 7, 15, 29, 3, 49, 49, 7, 753, 1597, 1427, 7485, 9119, 17427, 24961, 114897, 62841}},
+{15100, 18, 28478, {1, 1, 7, 7, 17, 35, 49, 225, 267, 801, 1359, 2131, 6093, 3859, 11305, 6287, 106459, 31093}},
+{15101, 18, 28480, {1, 1, 5, 3, 1, 45, 19, 89, 145, 23, 1071, 3053, 3463, 6781, 8635, 1961, 54403, 183401}},
+{15102, 18, 28489, {1, 3, 1, 13, 17, 35, 105, 155, 145, 597, 1169, 3731, 725, 2185, 23365, 31849, 113717, 185413}},
+{15103, 18, 28514, {1, 3, 3, 5, 3, 5, 13, 119, 39, 383, 1595, 63, 7003, 6465, 19847, 37213, 42921, 254479}},
+{15104, 18, 28525, {1, 3, 3, 1, 3, 33, 43, 255, 227, 151, 1911, 2657, 6529, 3855, 24411, 8485, 30385, 193265}},
+{15105, 18, 28537, {1, 1, 7, 7, 21, 53, 101, 37, 193, 107, 1095, 369, 6423, 3491, 1219, 53385, 31041, 122587}},
+{15106, 18, 28550, {1, 1, 7, 3, 13, 39, 101, 109, 113, 201, 619, 2489, 4545, 5017, 25519, 44281, 128605, 128595}},
+{15107, 18, 28559, {1, 1, 3, 13, 25, 7, 99, 141, 465, 625, 667, 1633, 6719, 16195, 365, 34355, 65025, 128025}},
+{15108, 18, 28595, {1, 1, 1, 7, 15, 51, 43, 159, 223, 493, 411, 65, 5753, 10219, 21885, 33267, 116643, 76777}},
+{15109, 18, 28601, {1, 3, 5, 13, 25, 39, 97, 31, 245, 367, 685, 103, 4093, 10449, 3849, 52659, 63355, 262059}},
+{15110, 18, 28629, {1, 3, 3, 1, 9, 49, 25, 157, 107, 821, 265, 2939, 6365, 7539, 17935, 50147, 88907, 214317}},
+{15111, 18, 28657, {1, 1, 1, 13, 17, 5, 55, 217, 137, 915, 121, 3187, 3111, 7145, 30477, 20023, 71969, 179417}},
+{15112, 18, 28667, {1, 1, 1, 5, 7, 15, 47, 71, 197, 725, 523, 2207, 5729, 741, 8595, 39125, 25431, 101093}},
+{15113, 18, 28711, {1, 3, 1, 7, 19, 37, 117, 235, 353, 459, 207, 953, 4955, 14979, 22897, 53911, 7783, 203667}},
+{15114, 18, 28718, {1, 1, 5, 13, 9, 17, 21, 95, 37, 751, 1463, 2491, 791, 1569, 32055, 61415, 113885, 259285}},
+{15115, 18, 28730, {1, 1, 3, 11, 1, 23, 5, 73, 61, 719, 215, 469, 3267, 12003, 16535, 46913, 58321, 2407}},
+{15116, 18, 28732, {1, 1, 5, 11, 5, 9, 81, 1, 275, 877, 791, 1591, 2109, 9983, 29085, 15069, 44757, 17887}},
+{15117, 18, 28777, {1, 3, 7, 11, 23, 47, 121, 53, 55, 677, 1239, 2591, 579, 11321, 14231, 53701, 71947, 56793}},
+{15118, 18, 28801, {1, 1, 5, 1, 7, 31, 39, 205, 231, 843, 159, 2301, 7765, 3317, 8935, 60647, 110545, 142543}},
+{15119, 18, 28822, {1, 3, 3, 11, 25, 39, 9, 131, 145, 373, 41, 1687, 417, 9427, 8657, 18315, 18505, 144055}},
+{15120, 18, 28855, {1, 3, 7, 3, 1, 51, 61, 223, 409, 607, 1281, 1767, 4719, 10741, 21537, 17307, 5473, 76127}},
+{15121, 18, 28859, {1, 1, 1, 1, 1, 43, 35, 157, 183, 835, 1141, 3235, 1383, 11381, 4503, 20435, 73125, 196955}},
+{15122, 18, 28869, {1, 1, 5, 7, 13, 47, 9, 191, 349, 587, 1887, 3667, 619, 9443, 28781, 7759, 6023, 81595}},
+{15123, 18, 28893, {1, 3, 5, 9, 31, 27, 77, 47, 375, 229, 989, 1241, 4937, 5881, 18797, 21743, 49947, 246165}},
+{15124, 18, 28904, {1, 1, 5, 1, 29, 23, 43, 237, 293, 391, 243, 3471, 5205, 9951, 29329, 19873, 114325, 19239}},
+{15125, 18, 28922, {1, 3, 3, 5, 19, 49, 23, 149, 419, 23, 21, 515, 3321, 3157, 28559, 8521, 11119, 192881}},
+{15126, 18, 28930, {1, 3, 1, 9, 29, 17, 15, 13, 171, 57, 1849, 3815, 7361, 7723, 23657, 60883, 54953, 159861}},
+{15127, 18, 28949, {1, 1, 3, 5, 13, 57, 35, 227, 143, 725, 2023, 2583, 2277, 4721, 4395, 61479, 112487, 211861}},
+{15128, 18, 28972, {1, 1, 5, 7, 7, 25, 83, 95, 281, 931, 415, 1661, 1543, 5313, 13317, 21203, 23965, 60891}},
+{15129, 18, 29002, {1, 3, 3, 1, 25, 51, 65, 147, 7, 521, 235, 2165, 6219, 14247, 30621, 43245, 8133, 49481}},
+{15130, 18, 29009, {1, 1, 5, 11, 13, 27, 39, 51, 213, 811, 151, 1157, 7821, 6481, 32097, 12319, 52005, 33291}},
+{15131, 18, 29061, {1, 1, 1, 13, 19, 15, 39, 205, 481, 253, 1643, 2969, 3181, 13995, 29877, 1307, 101721, 119111}},
+{15132, 18, 29068, {1, 1, 1, 11, 5, 63, 57, 53, 187, 315, 1521, 847, 5955, 3179, 21459, 25937, 83215, 181599}},
+{15133, 18, 29107, {1, 1, 7, 13, 17, 35, 113, 73, 105, 497, 1183, 3397, 4443, 14697, 29201, 40737, 40943, 3529}},
+{15134, 18, 29119, {1, 3, 5, 5, 3, 53, 101, 125, 173, 137, 333, 381, 1143, 1165, 789, 50013, 23595, 50235}},
+{15135, 18, 29142, {1, 1, 3, 1, 23, 3, 21, 143, 475, 337, 1693, 2341, 6509, 4167, 21031, 13887, 83191, 85187}},
+{15136, 18, 29146, {1, 1, 3, 1, 29, 59, 39, 217, 77, 943, 1531, 383, 6535, 2593, 8601, 61865, 26629, 57313}},
+{15137, 18, 29152, {1, 3, 5, 15, 17, 15, 19, 31, 273, 507, 1193, 2501, 4677, 13355, 5287, 1155, 102959, 185219}},
+{15138, 18, 29200, {1, 1, 1, 9, 3, 3, 5, 111, 159, 913, 331, 303, 3673, 12227, 5245, 63749, 107123, 26315}},
+{15139, 18, 29206, {1, 3, 5, 11, 13, 13, 115, 237, 481, 793, 1783, 1107, 4811, 3965, 29571, 63237, 15013, 176925}},
+{15140, 18, 29245, {1, 1, 7, 1, 13, 57, 85, 15, 19, 889, 1637, 1721, 6299, 6659, 5541, 24365, 38363, 67749}},
+{15141, 18, 29254, {1, 1, 3, 1, 9, 39, 15, 183, 133, 821, 1361, 2617, 7197, 8251, 12599, 60549, 42947, 72519}},
+{15142, 18, 29258, {1, 3, 1, 5, 19, 17, 69, 189, 309, 33, 2003, 569, 6189, 7845, 22351, 14623, 35287, 160511}},
+{15143, 18, 29260, {1, 1, 7, 13, 25, 3, 1, 203, 163, 661, 513, 3513, 741, 16259, 29817, 6059, 23823, 51869}},
+{15144, 18, 29268, {1, 3, 3, 1, 9, 43, 59, 77, 465, 223, 2007, 2187, 1499, 9373, 10535, 22207, 111689, 108485}},
+{15145, 18, 29281, {1, 1, 5, 15, 1, 21, 87, 163, 177, 751, 115, 3981, 4257, 5345, 31211, 44075, 16983, 69783}},
+{15146, 18, 29306, {1, 1, 1, 3, 29, 31, 7, 41, 181, 979, 1661, 1403, 2577, 983, 545, 6205, 20183, 44735}},
+{15147, 18, 29317, {1, 3, 3, 15, 5, 1, 85, 243, 59, 161, 1053, 803, 1813, 13583, 2559, 62761, 105337, 83209}},
+{15148, 18, 29324, {1, 3, 3, 3, 5, 21, 101, 61, 379, 369, 1865, 3289, 2643, 951, 26493, 17915, 8185, 42387}},
+{15149, 18, 29342, {1, 3, 5, 15, 15, 13, 119, 103, 141, 735, 1317, 3345, 2885, 4145, 30719, 965, 10819, 90295}},
+{15150, 18, 29375, {1, 3, 7, 13, 15, 11, 19, 163, 495, 369, 1285, 609, 1559, 9965, 31123, 55101, 76743, 104435}},
+{15151, 18, 29384, {1, 1, 5, 1, 25, 5, 5, 139, 441, 447, 353, 1369, 959, 14593, 30991, 20651, 126945, 2219}},
+{15152, 18, 29389, {1, 3, 5, 9, 21, 9, 113, 83, 115, 15, 161, 1559, 3095, 1447, 10253, 51481, 114541, 248375}},
+{15153, 18, 29411, {1, 3, 3, 1, 31, 61, 111, 69, 495, 195, 1153, 2605, 5061, 15509, 8253, 41909, 126033, 51173}},
+{15154, 18, 29413, {1, 1, 7, 15, 15, 41, 121, 75, 471, 539, 341, 441, 5357, 11509, 32525, 65477, 101251, 164835}},
+{15155, 18, 29446, {1, 1, 5, 7, 3, 63, 13, 123, 285, 499, 1023, 3533, 483, 13747, 26515, 52381, 9073, 256319}},
+{15156, 18, 29457, {1, 3, 1, 13, 29, 41, 75, 43, 229, 557, 1775, 1933, 5567, 11439, 22045, 10571, 96761, 98559}},
+{15157, 18, 29458, {1, 1, 3, 11, 19, 39, 3, 93, 435, 433, 2005, 1561, 385, 15865, 19763, 44105, 48107, 163063}},
+{15158, 18, 29483, {1, 1, 7, 5, 29, 37, 53, 19, 335, 325, 133, 2055, 3029, 14573, 30395, 38599, 97637, 203443}},
+{15159, 18, 29488, {1, 1, 7, 15, 29, 51, 7, 145, 21, 955, 1013, 579, 4971, 4849, 11691, 23725, 71079, 102641}},
+{15160, 18, 29494, {1, 1, 7, 3, 9, 49, 79, 187, 237, 823, 1951, 2947, 3633, 9119, 14393, 52969, 44703, 222389}},
+{15161, 18, 29506, {1, 3, 5, 11, 13, 9, 13, 245, 499, 661, 1899, 1313, 6907, 12259, 4577, 38547, 79687, 17555}},
+{15162, 18, 29553, {1, 3, 3, 1, 5, 59, 123, 197, 293, 247, 687, 695, 7493, 3115, 28535, 44335, 31905, 81607}},
+{15163, 18, 29569, {1, 3, 1, 3, 19, 5, 45, 101, 457, 395, 565, 3155, 8081, 4863, 1199, 32133, 73087, 27025}},
+{15164, 18, 29587, {1, 3, 7, 1, 31, 35, 111, 95, 379, 663, 731, 1813, 4551, 13105, 18275, 19729, 121971, 139959}},
+{15165, 18, 29590, {1, 1, 7, 3, 23, 47, 11, 117, 323, 943, 183, 2169, 4625, 12931, 1305, 23345, 119521, 67911}},
+{15166, 18, 29600, {1, 1, 1, 13, 19, 45, 37, 77, 301, 741, 747, 241, 5865, 11141, 7961, 10609, 97833, 256555}},
+{15167, 18, 29612, {1, 1, 1, 11, 27, 21, 119, 103, 277, 761, 201, 2063, 1043, 13303, 6535, 15553, 57695, 124187}},
+{15168, 18, 29665, {1, 3, 7, 3, 1, 11, 79, 143, 345, 237, 1421, 193, 1889, 2515, 11729, 559, 35227, 9393}},
+{15169, 18, 29722, {1, 3, 1, 1, 27, 27, 117, 159, 183, 871, 47, 989, 999, 303, 30833, 8229, 116301, 199439}},
+{15170, 18, 29745, {1, 1, 1, 1, 31, 27, 41, 83, 435, 409, 999, 2275, 4489, 1985, 21455, 23275, 125039, 192979}},
+{15171, 18, 29746, {1, 3, 7, 3, 19, 49, 27, 185, 9, 385, 191, 735, 3439, 16307, 21181, 58749, 128393, 140383}},
+{15172, 18, 29752, {1, 3, 7, 3, 15, 5, 65, 89, 11, 915, 673, 947, 3847, 6833, 10095, 34261, 101645, 42131}},
+{15173, 18, 29775, {1, 3, 5, 11, 11, 25, 79, 225, 495, 951, 1033, 5, 699, 9621, 1791, 48221, 59275, 49875}},
+{15174, 18, 29778, {1, 3, 7, 13, 29, 59, 105, 101, 233, 901, 863, 413, 2087, 16209, 445, 27463, 61465, 121795}},
+{15175, 18, 29800, {1, 1, 1, 11, 5, 19, 11, 51, 503, 313, 195, 3, 7249, 4919, 11931, 15569, 118297, 115989}},
+{15176, 18, 29829, {1, 3, 3, 13, 13, 61, 63, 57, 429, 487, 2033, 847, 7539, 1469, 3197, 1307, 124557, 211999}},
+{15177, 18, 29830, {1, 3, 7, 13, 25, 27, 39, 103, 165, 39, 1587, 3103, 1745, 12593, 10779, 37105, 29059, 256739}},
+{15178, 18, 29877, {1, 3, 3, 9, 25, 51, 105, 109, 99, 267, 623, 1351, 3837, 793, 28609, 52199, 15621, 77873}},
+{15179, 18, 29881, {1, 1, 3, 7, 29, 61, 45, 237, 431, 791, 91, 1259, 8071, 11103, 27257, 10153, 18639, 248949}},
+{15180, 18, 29884, {1, 1, 1, 9, 15, 47, 113, 189, 291, 837, 1317, 2263, 7183, 6669, 17241, 35275, 9087, 241577}},
+{15181, 18, 29895, {1, 1, 3, 1, 15, 59, 85, 21, 69, 569, 1473, 2735, 713, 3817, 14677, 26897, 75291, 251255}},
+{15182, 18, 29899, {1, 1, 1, 7, 17, 21, 105, 77, 367, 905, 513, 1807, 5571, 14627, 10349, 47821, 34395, 51143}},
+{15183, 18, 29916, {1, 3, 7, 13, 27, 19, 123, 145, 371, 857, 1699, 2231, 373, 781, 28713, 21441, 64059, 10689}},
+{15184, 18, 29923, {1, 1, 1, 7, 19, 57, 81, 223, 87, 315, 1253, 421, 1371, 1547, 1411, 6809, 23889, 213385}},
+{15185, 18, 29935, {1, 3, 1, 5, 23, 57, 89, 15, 227, 965, 1247, 3861, 7723, 15621, 7151, 53961, 47167, 73679}},
+{15186, 18, 29955, {1, 3, 7, 15, 31, 21, 9, 79, 87, 561, 1001, 3395, 2095, 15381, 30725, 48111, 68031, 121687}},
+{15187, 18, 29962, {1, 3, 1, 9, 15, 29, 83, 87, 377, 331, 2035, 93, 2319, 3637, 4809, 40091, 93141, 39881}},
+{15188, 18, 29969, {1, 3, 3, 11, 21, 39, 27, 159, 161, 439, 1417, 595, 4873, 15703, 32743, 56603, 35881, 160727}},
+{15189, 18, 29997, {1, 1, 3, 5, 21, 37, 55, 159, 497, 425, 469, 1185, 5015, 7045, 7179, 65325, 97167, 75723}},
+{15190, 18, 30032, {1, 3, 1, 7, 31, 21, 125, 223, 479, 765, 1115, 33, 2765, 12781, 22923, 36051, 103749, 33703}},
+{15191, 18, 30041, {1, 1, 7, 1, 9, 3, 29, 125, 337, 973, 253, 3179, 3269, 8801, 19369, 20693, 17331, 190295}},
+{15192, 18, 30048, {1, 1, 3, 3, 13, 5, 115, 31, 481, 45, 855, 81, 3663, 10443, 13853, 29847, 99471, 249943}},
+{15193, 18, 30060, {1, 1, 3, 7, 3, 1, 47, 31, 169, 625, 201, 2257, 4617, 1633, 26681, 53793, 78257, 8955}},
+{15194, 18, 30063, {1, 1, 5, 1, 23, 3, 95, 89, 429, 559, 119, 2619, 1235, 7609, 21905, 45495, 19461, 189091}},
+{15195, 18, 30105, {1, 3, 5, 5, 11, 33, 123, 45, 89, 899, 1607, 3717, 6745, 15199, 22955, 15891, 50411, 148201}},
+{15196, 18, 30122, {1, 3, 5, 9, 19, 23, 87, 21, 39, 117, 603, 823, 3015, 14853, 4341, 49029, 97183, 218713}},
+{15197, 18, 30141, {1, 1, 3, 7, 11, 55, 31, 255, 399, 861, 745, 1013, 4583, 15871, 32453, 25357, 90645, 100835}},
+{15198, 18, 30142, {1, 1, 1, 11, 13, 27, 57, 233, 45, 339, 305, 3689, 5273, 11801, 29109, 44139, 83171, 250559}},
+{15199, 18, 30153, {1, 3, 7, 13, 19, 1, 29, 113, 207, 313, 1465, 3563, 2535, 3307, 14921, 1923, 31429, 59815}},
+{15200, 18, 30171, {1, 3, 1, 5, 29, 25, 59, 95, 177, 795, 353, 3973, 8029, 1687, 5045, 16157, 30361, 218479}},
+{15201, 18, 30192, {1, 3, 5, 3, 5, 27, 109, 239, 121, 347, 93, 1645, 3293, 13181, 23793, 42935, 98659, 85385}},
+{15202, 18, 30197, {1, 1, 7, 9, 9, 37, 127, 211, 77, 557, 177, 2465, 7895, 5523, 26665, 23463, 71715, 126673}},
+{15203, 18, 30223, {1, 3, 7, 1, 27, 55, 125, 85, 47, 739, 1513, 3763, 5335, 3135, 11913, 22405, 90785, 88845}},
+{15204, 18, 30235, {1, 3, 3, 9, 29, 21, 123, 211, 491, 83, 697, 929, 3507, 7139, 30569, 16365, 122657, 77523}},
+{15205, 18, 30241, {1, 3, 5, 5, 27, 21, 41, 129, 67, 503, 877, 1893, 6055, 12709, 24613, 43831, 124035, 62631}},
+{15206, 18, 30256, {1, 3, 3, 1, 21, 15, 59, 185, 405, 487, 627, 3737, 345, 14751, 2947, 15815, 55047, 207137}},
+{15207, 18, 30291, {1, 1, 1, 9, 15, 29, 19, 155, 101, 405, 597, 329, 2977, 4333, 5465, 43863, 6009, 229481}},
+{15208, 18, 30293, {1, 1, 1, 11, 7, 27, 93, 207, 43, 599, 1899, 3979, 4219, 10199, 2901, 34261, 19435, 58317}},
+{15209, 18, 30300, {1, 1, 7, 15, 9, 47, 33, 209, 235, 655, 253, 3507, 3355, 1685, 7045, 58907, 41791, 175835}},
+{15210, 18, 30331, {1, 3, 3, 11, 11, 43, 21, 255, 45, 831, 1051, 1271, 7945, 9793, 11125, 17709, 118267, 169981}},
+{15211, 18, 30349, {1, 3, 7, 13, 27, 37, 45, 221, 243, 37, 1493, 2773, 6655, 7451, 22609, 56559, 12063, 221143}},
+{15212, 18, 30361, {1, 3, 1, 1, 9, 15, 97, 61, 241, 825, 735, 3953, 5331, 16373, 19403, 28933, 31881, 111545}},
+{15213, 18, 30367, {1, 1, 1, 15, 29, 1, 127, 111, 329, 741, 1589, 1653, 5949, 8703, 27617, 65285, 122167, 11895}},
+{15214, 18, 30392, {1, 1, 3, 3, 17, 31, 91, 197, 421, 865, 1901, 897, 6917, 15943, 12823, 15325, 17011, 110783}},
+{15215, 18, 30405, {1, 1, 3, 15, 21, 57, 29, 179, 503, 929, 1513, 205, 6083, 4015, 32517, 26921, 54229, 147789}},
+{15216, 18, 30410, {1, 1, 7, 15, 27, 21, 95, 59, 193, 97, 1235, 819, 4435, 371, 627, 24673, 1775, 261041}},
+{15217, 18, 30415, {1, 1, 7, 15, 3, 37, 99, 85, 505, 1011, 19, 1241, 5299, 15661, 27323, 44625, 12683, 225687}},
+{15218, 18, 30439, {1, 1, 7, 3, 25, 37, 111, 121, 217, 659, 365, 2627, 5499, 12911, 951, 54317, 51927, 235327}},
+{15219, 18, 30446, {1, 1, 3, 9, 29, 31, 99, 195, 427, 735, 1817, 3675, 4269, 1579, 12593, 39285, 74909, 230613}},
+{15220, 18, 30501, {1, 3, 1, 13, 7, 21, 37, 101, 111, 931, 1581, 465, 4753, 15607, 14515, 29769, 107711, 32703}},
+{15221, 18, 30526, {1, 1, 7, 15, 25, 57, 117, 119, 309, 345, 491, 3647, 2933, 5409, 15431, 43731, 25537, 17269}},
+{15222, 18, 30531, {1, 1, 5, 3, 15, 9, 83, 221, 501, 675, 1441, 129, 213, 5587, 22361, 16739, 118845, 192835}},
+{15223, 18, 30537, {1, 3, 7, 13, 1, 31, 75, 23, 13, 447, 687, 2711, 7577, 8275, 5051, 61835, 22159, 56477}},
+{15224, 18, 30546, {1, 1, 3, 1, 23, 19, 111, 45, 395, 841, 1665, 21, 7435, 12457, 11065, 20007, 48785, 15115}},
+{15225, 18, 30568, {1, 3, 7, 7, 21, 3, 117, 35, 117, 433, 561, 3045, 2169, 3255, 18015, 41093, 99699, 3479}},
+{15226, 18, 30581, {1, 1, 3, 7, 9, 59, 65, 143, 315, 63, 29, 3817, 1259, 7119, 20847, 44407, 80015, 37851}},
+{15227, 18, 30588, {1, 3, 7, 13, 13, 33, 85, 75, 39, 163, 1759, 1197, 5971, 8815, 8745, 45625, 121873, 246197}},
+{15228, 18, 30598, {1, 1, 1, 13, 31, 41, 61, 7, 145, 113, 943, 3757, 2141, 3523, 22351, 14143, 107683, 105579}},
+{15229, 18, 30607, {1, 1, 5, 5, 23, 27, 75, 77, 25, 901, 1295, 3091, 981, 10109, 12649, 15123, 102433, 145557}},
+{15230, 18, 30609, {1, 1, 7, 5, 9, 11, 19, 229, 301, 835, 1577, 3365, 425, 2271, 15647, 11685, 57315, 131043}},
+{15231, 18, 30616, {1, 3, 1, 13, 31, 3, 113, 7, 473, 395, 1979, 61, 4205, 2031, 28007, 34789, 54463, 94741}},
+{15232, 18, 30626, {1, 1, 3, 5, 7, 13, 35, 151, 461, 621, 185, 2645, 907, 9151, 25953, 26363, 105531, 235555}},
+{15233, 18, 30628, {1, 3, 3, 13, 21, 5, 43, 183, 149, 607, 509, 777, 4089, 16365, 32201, 60431, 58773, 92719}},
+{15234, 18, 30638, {1, 3, 3, 11, 25, 53, 103, 203, 269, 1017, 77, 3537, 4839, 15991, 29223, 57397, 122735, 67299}},
+{15235, 18, 30658, {1, 3, 3, 1, 29, 45, 85, 171, 307, 455, 1399, 2367, 5991, 5751, 27957, 36649, 9251, 38581}},
+{15236, 18, 30663, {1, 1, 5, 13, 29, 15, 127, 1, 175, 921, 671, 2469, 3137, 3679, 32521, 5321, 92505, 45901}},
+{15237, 18, 30675, {1, 3, 3, 11, 23, 23, 113, 255, 443, 609, 1085, 133, 5369, 885, 17043, 20961, 36137, 260457}},
+{15238, 18, 30698, {1, 3, 3, 9, 13, 55, 117, 19, 111, 323, 275, 495, 6679, 2217, 12015, 3053, 32745, 189413}},
+{15239, 18, 30708, {1, 3, 5, 13, 31, 43, 37, 225, 67, 755, 1427, 3967, 6497, 9987, 28145, 50583, 59457, 213217}},
+{15240, 18, 30712, {1, 3, 1, 15, 1, 5, 121, 249, 293, 695, 1697, 313, 61, 4037, 11757, 53739, 5693, 106225}},
+{15241, 18, 30727, {1, 1, 7, 1, 23, 9, 111, 211, 303, 147, 1291, 3807, 1969, 4115, 7473, 50077, 60745, 41605}},
+{15242, 18, 30736, {1, 3, 3, 15, 21, 51, 63, 171, 197, 403, 1327, 1851, 6991, 9069, 19221, 45765, 55489, 34853}},
+{15243, 18, 30748, {1, 1, 5, 3, 5, 53, 87, 241, 255, 309, 1319, 3727, 3189, 10887, 13401, 32371, 24479, 170571}},
+{15244, 18, 30758, {1, 1, 7, 11, 5, 5, 59, 177, 317, 835, 527, 165, 2137, 9597, 30181, 1779, 75407, 185827}},
+{15245, 18, 30775, {1, 3, 3, 7, 25, 15, 15, 183, 235, 955, 27, 2223, 5587, 11301, 17653, 56697, 70787, 198347}},
+{15246, 18, 30793, {1, 3, 5, 5, 11, 63, 123, 41, 169, 975, 1709, 2965, 7491, 4183, 15217, 41343, 36139, 9649}},
+{15247, 18, 30802, {1, 1, 3, 7, 5, 37, 87, 247, 379, 603, 781, 463, 8063, 13681, 32005, 43485, 107401, 42303}},
+{15248, 18, 30820, {1, 3, 5, 9, 19, 53, 61, 219, 217, 361, 769, 1687, 5643, 3145, 12885, 40303, 86377, 255051}},
+{15249, 18, 30823, {1, 1, 7, 11, 15, 49, 127, 99, 127, 515, 647, 1725, 1605, 2357, 2069, 31803, 14179, 180367}},
+{15250, 18, 30827, {1, 3, 5, 15, 9, 7, 41, 3, 49, 485, 1471, 207, 6477, 4463, 12255, 53481, 110785, 909}},
+{15251, 18, 30848, {1, 1, 5, 9, 23, 51, 107, 227, 205, 987, 1525, 2739, 6761, 12343, 32311, 12523, 93351, 29663}},
+{15252, 18, 30893, {1, 3, 5, 11, 21, 19, 53, 169, 197, 21, 825, 4029, 6733, 8943, 13475, 60677, 31001, 242291}},
+{15253, 18, 30906, {1, 3, 7, 13, 9, 27, 87, 37, 265, 877, 735, 2249, 4801, 2365, 16923, 40451, 29693, 222483}},
+{15254, 18, 30950, {1, 1, 3, 9, 31, 61, 71, 103, 215, 421, 193, 3451, 6181, 4271, 30875, 59573, 80773, 100369}},
+{15255, 18, 30956, {1, 1, 3, 13, 17, 55, 73, 191, 233, 821, 961, 1637, 2393, 3453, 25959, 5069, 114585, 186001}},
+{15256, 18, 30996, {1, 1, 7, 5, 15, 27, 39, 23, 69, 811, 709, 2349, 6011, 803, 12497, 7387, 62023, 247875}},
+{15257, 18, 31015, {1, 1, 5, 13, 29, 55, 51, 41, 121, 599, 1633, 3813, 1913, 3803, 26097, 53799, 30997, 261965}},
+{15258, 18, 31016, {1, 1, 1, 11, 31, 25, 19, 195, 87, 657, 1005, 3853, 61, 6585, 24665, 38283, 5495, 257201}},
+{15259, 18, 31034, {1, 1, 1, 11, 23, 43, 91, 121, 49, 491, 1443, 1873, 7689, 15957, 30463, 64079, 100003, 325}},
+{15260, 18, 31099, {1, 1, 7, 1, 25, 51, 27, 105, 119, 233, 513, 3403, 2647, 2847, 12687, 15619, 71225, 243759}},
+{15261, 18, 31123, {1, 1, 7, 3, 17, 49, 19, 123, 307, 463, 1619, 1853, 7019, 2605, 17351, 7971, 20675, 235929}},
+{15262, 18, 31145, {1, 1, 5, 3, 17, 29, 71, 215, 365, 955, 1631, 3549, 1379, 13881, 25409, 55703, 29863, 135401}},
+{15263, 18, 31166, {1, 3, 7, 15, 3, 27, 107, 149, 65, 681, 505, 3957, 6697, 11203, 9321, 63323, 98587, 199241}},
+{15264, 18, 31168, {1, 1, 1, 13, 27, 41, 59, 223, 431, 339, 1805, 899, 639, 6559, 13233, 4773, 37415, 110477}},
+{15265, 18, 31174, {1, 3, 7, 9, 1, 59, 79, 161, 311, 905, 1755, 3915, 6259, 8955, 14187, 11331, 86185, 209805}},
+{15266, 18, 31216, {1, 1, 7, 9, 5, 27, 75, 93, 285, 89, 891, 3341, 1157, 11219, 8883, 8093, 68949, 189643}},
+{15267, 18, 31219, {1, 3, 1, 5, 1, 43, 97, 71, 67, 605, 739, 1641, 4415, 4487, 13437, 12755, 121595, 55761}},
+{15268, 18, 31238, {1, 1, 1, 3, 1, 13, 61, 77, 297, 507, 1527, 3585, 4515, 13913, 7679, 28461, 61807, 196517}},
+{15269, 18, 31256, {1, 1, 1, 3, 21, 23, 101, 135, 59, 485, 1601, 3713, 7409, 349, 16543, 18897, 97253, 149055}},
+{15270, 18, 31304, {1, 1, 1, 13, 5, 37, 15, 37, 109, 1005, 363, 1925, 2701, 13169, 17027, 58453, 27667, 234027}},
+{15271, 18, 31315, {1, 1, 7, 1, 1, 41, 67, 231, 143, 951, 2023, 3465, 1717, 645, 17353, 9037, 129127, 199467}},
+{15272, 18, 31324, {1, 1, 1, 11, 27, 29, 65, 139, 425, 947, 141, 2601, 7339, 4451, 25065, 62691, 62355, 91819}},
+{15273, 18, 31364, {1, 3, 7, 15, 29, 29, 93, 25, 139, 267, 1319, 3839, 7295, 11855, 17775, 30199, 44127, 150875}},
+{15274, 18, 31379, {1, 3, 5, 1, 3, 55, 23, 191, 199, 583, 1167, 1357, 6477, 11827, 15581, 56541, 16603, 120139}},
+{15275, 18, 31382, {1, 1, 1, 3, 5, 47, 103, 211, 443, 491, 1043, 4001, 121, 1637, 5685, 42675, 13009, 22979}},
+{15276, 18, 31412, {1, 1, 1, 9, 21, 7, 77, 17, 303, 955, 51, 2389, 3573, 8817, 28053, 40269, 35457, 211023}},
+{15277, 18, 31451, {1, 3, 5, 15, 3, 39, 17, 75, 223, 37, 1231, 2127, 3575, 9085, 10715, 41871, 103703, 154181}},
+{15278, 18, 31487, {1, 3, 3, 15, 25, 31, 31, 223, 473, 267, 1519, 3205, 7029, 10753, 24757, 28187, 117921, 26783}},
+{15279, 18, 31509, {1, 3, 7, 1, 5, 21, 105, 191, 55, 115, 1813, 3701, 1673, 4199, 2441, 19737, 46913, 208725}},
+{15280, 18, 31510, {1, 1, 5, 5, 19, 63, 89, 141, 143, 783, 545, 883, 2979, 9219, 24983, 41793, 88441, 207095}},
+{15281, 18, 31520, {1, 1, 1, 9, 21, 21, 93, 161, 93, 733, 417, 3133, 8155, 12415, 16343, 11727, 82877, 94469}},
+{15282, 18, 31535, {1, 1, 5, 15, 5, 39, 33, 203, 213, 731, 1849, 1675, 6029, 2743, 1529, 16345, 13955, 54929}},
+{15283, 18, 31564, {1, 1, 7, 7, 23, 47, 121, 211, 271, 737, 1015, 1021, 5641, 12659, 27545, 52363, 104761, 150143}},
+{15284, 18, 31585, {1, 3, 1, 11, 11, 51, 79, 141, 255, 1007, 481, 3221, 7741, 6861, 24943, 63091, 46741, 33359}},
+{15285, 18, 31586, {1, 1, 3, 3, 27, 47, 85, 27, 423, 811, 75, 3911, 1951, 10821, 7487, 18971, 83355, 197479}},
+{15286, 18, 31600, {1, 1, 5, 5, 1, 63, 125, 251, 457, 795, 557, 217, 2335, 5659, 18375, 52183, 9789, 31417}},
+{15287, 18, 31643, {1, 3, 3, 3, 19, 61, 41, 129, 345, 361, 187, 3881, 43, 7197, 7673, 25011, 115155, 16375}},
+{15288, 18, 31646, {1, 3, 3, 7, 13, 7, 55, 91, 153, 341, 2003, 2013, 6891, 2411, 14825, 39555, 50267, 61405}},
+{15289, 18, 31649, {1, 3, 5, 7, 13, 57, 21, 91, 331, 615, 1297, 2881, 2011, 1907, 16489, 43061, 75731, 76675}},
+{15290, 18, 31650, {1, 1, 5, 5, 25, 15, 77, 175, 101, 885, 835, 529, 2787, 547, 20191, 50457, 58557, 61807}},
+{15291, 18, 31674, {1, 3, 7, 1, 13, 47, 101, 117, 179, 245, 861, 611, 4377, 5257, 12807, 26667, 19889, 112485}},
+{15292, 18, 31679, {1, 3, 7, 1, 27, 3, 23, 109, 197, 187, 963, 1827, 5741, 11921, 6359, 3989, 108939, 5761}},
+{15293, 18, 31684, {1, 1, 7, 5, 27, 7, 119, 159, 53, 969, 557, 597, 7821, 7121, 17341, 11233, 10811, 23969}},
+{15294, 18, 31688, {1, 1, 3, 13, 23, 55, 75, 131, 339, 917, 317, 2645, 5973, 9939, 26375, 29261, 80883, 229897}},
+{15295, 18, 31706, {1, 1, 5, 13, 3, 63, 41, 191, 315, 191, 649, 2119, 317, 14699, 4097, 19557, 97015, 124557}},
+{15296, 18, 31735, {1, 3, 7, 15, 13, 29, 29, 43, 47, 37, 729, 185, 4477, 15091, 13991, 18701, 56785, 218823}},
+{15297, 18, 31754, {1, 3, 7, 15, 31, 39, 17, 133, 469, 509, 995, 1683, 391, 1775, 15431, 63489, 7405, 122125}},
+{15298, 18, 31761, {1, 3, 7, 5, 15, 63, 5, 235, 193, 411, 1493, 3967, 3279, 6421, 13359, 20949, 68097, 69469}},
+{15299, 18, 31774, {1, 3, 3, 13, 7, 37, 7, 207, 399, 553, 1629, 1903, 329, 7577, 5813, 17151, 40889, 174811}},
+{15300, 18, 31807, {1, 3, 1, 13, 7, 39, 119, 109, 323, 61, 749, 1377, 911, 8195, 19753, 6265, 60783, 182339}},
+{15301, 18, 31812, {1, 1, 5, 11, 3, 21, 89, 61, 243, 273, 1317, 3443, 117, 6205, 13907, 12903, 95485, 103355}},
+{15302, 18, 31821, {1, 3, 7, 13, 19, 27, 45, 251, 405, 289, 121, 1501, 2599, 8111, 5163, 17437, 75095, 165847}},
+{15303, 18, 31855, {1, 3, 3, 5, 23, 13, 29, 145, 333, 573, 1939, 2133, 5797, 5263, 18835, 11945, 42161, 103123}},
+{15304, 18, 31919, {1, 3, 5, 13, 9, 31, 45, 17, 181, 111, 219, 3451, 1591, 5823, 20307, 41207, 77047, 173401}},
+{15305, 18, 31934, {1, 3, 1, 9, 19, 63, 73, 111, 377, 875, 1749, 2887, 7035, 14209, 1805, 20527, 93839, 225185}},
+{15306, 18, 31956, {1, 3, 1, 9, 15, 45, 97, 235, 11, 803, 899, 427, 3353, 7363, 26687, 1307, 5451, 176233}},
+{15307, 18, 31965, {1, 3, 7, 5, 7, 51, 59, 53, 3, 263, 159, 1005, 6079, 7237, 17419, 56653, 61091, 182209}},
+{15308, 18, 31975, {1, 1, 3, 15, 19, 47, 17, 185, 167, 219, 233, 2921, 5755, 1277, 27281, 33671, 3191, 169477}},
+{15309, 18, 31981, {1, 3, 7, 1, 25, 27, 99, 81, 57, 969, 821, 2397, 2947, 5913, 15247, 47651, 449, 183295}},
+{15310, 18, 31999, {1, 3, 1, 15, 3, 63, 83, 75, 41, 959, 1005, 153, 97, 15381, 6901, 55141, 90215, 161321}},
+{15311, 18, 32014, {1, 3, 1, 9, 1, 1, 29, 191, 43, 241, 607, 667, 1189, 4389, 31335, 14133, 104049, 100925}},
+{15312, 18, 32022, {1, 1, 3, 1, 1, 61, 109, 23, 325, 27, 1601, 3957, 7181, 8375, 9823, 50533, 114895, 73825}},
+{15313, 18, 32049, {1, 1, 7, 7, 1, 25, 51, 19, 383, 955, 1717, 2953, 5431, 7883, 14451, 18619, 9601, 153151}},
+{15314, 18, 32055, {1, 3, 1, 5, 1, 1, 35, 3, 141, 37, 1531, 1855, 7905, 6509, 6223, 45911, 54267, 172275}},
+{15315, 18, 32082, {1, 1, 3, 15, 23, 39, 109, 145, 215, 147, 1191, 2425, 301, 5543, 997, 31071, 101697, 169677}},
+{15316, 18, 32087, {1, 1, 3, 5, 17, 23, 41, 191, 367, 967, 1625, 3669, 769, 7599, 111, 4399, 64121, 232275}},
+{15317, 18, 32100, {1, 3, 5, 1, 25, 61, 47, 247, 413, 605, 399, 1233, 2789, 9775, 7111, 42853, 2305, 87423}},
+{15318, 18, 32104, {1, 3, 7, 3, 1, 25, 73, 247, 221, 235, 169, 889, 5635, 4325, 27015, 39549, 107545, 80885}},
+{15319, 18, 32109, {1, 1, 7, 11, 15, 55, 61, 103, 179, 157, 481, 3089, 4539, 375, 25425, 14995, 60119, 31031}},
+{15320, 18, 32138, {1, 3, 3, 1, 31, 17, 87, 123, 27, 309, 1693, 3871, 7319, 15615, 20113, 18239, 86407, 172381}},
+{15321, 18, 32140, {1, 1, 1, 13, 17, 31, 83, 149, 451, 305, 847, 223, 5705, 9697, 4967, 34273, 4041, 252891}},
+{15322, 18, 32148, {1, 3, 3, 15, 7, 27, 105, 207, 443, 825, 701, 1159, 5267, 14085, 28295, 41757, 47799, 14835}},
+{15323, 18, 32161, {1, 3, 7, 3, 1, 31, 77, 219, 139, 497, 1575, 905, 4341, 4611, 27861, 59871, 45525, 21735}},
+{15324, 18, 32162, {1, 3, 3, 3, 7, 17, 65, 183, 231, 955, 1111, 1899, 1677, 13685, 29395, 10449, 62505, 125643}},
+{15325, 18, 32174, {1, 3, 5, 7, 27, 57, 81, 165, 279, 989, 1569, 573, 7593, 10067, 1343, 12039, 117175, 225125}},
+{15326, 18, 32196, {1, 3, 3, 15, 19, 37, 47, 175, 87, 153, 1137, 1985, 2473, 14767, 19587, 41751, 98937, 66667}},
+{15327, 18, 32220, {1, 3, 5, 3, 19, 51, 25, 155, 37, 597, 719, 1039, 165, 1871, 15677, 59891, 29899, 231979}},
+{15328, 18, 32223, {1, 3, 5, 13, 15, 39, 17, 21, 73, 695, 1813, 2463, 3549, 3081, 14037, 13077, 40417, 258995}},
+{15329, 18, 32267, {1, 1, 5, 9, 29, 5, 105, 75, 97, 937, 1767, 975, 637, 9419, 30673, 33537, 979, 45381}},
+{15330, 18, 32272, {1, 1, 5, 9, 3, 31, 91, 193, 171, 163, 925, 3519, 3621, 4943, 14093, 22881, 18459, 110155}},
+{15331, 18, 32308, {1, 1, 3, 7, 29, 1, 39, 107, 359, 805, 91, 2911, 4741, 3099, 16967, 45849, 95255, 63225}},
+{15332, 18, 32315, {1, 1, 5, 13, 25, 41, 49, 145, 345, 823, 1571, 341, 6323, 9679, 14855, 19965, 108367, 99833}},
+{15333, 18, 32317, {1, 3, 5, 3, 27, 35, 87, 83, 373, 425, 281, 1313, 5153, 6301, 2745, 12677, 34603, 181835}},
+{15334, 18, 32347, {1, 1, 7, 7, 13, 17, 83, 101, 141, 789, 1403, 2777, 2749, 1551, 9009, 9909, 48443, 176679}},
+{15335, 18, 32360, {1, 3, 5, 9, 7, 25, 125, 109, 155, 357, 1111, 3057, 771, 11253, 25811, 60333, 68505, 146987}},
+{15336, 18, 32394, {1, 3, 7, 7, 29, 19, 69, 115, 411, 793, 51, 715, 3035, 11577, 14237, 23963, 13915, 196771}},
+{15337, 18, 32411, {1, 1, 3, 3, 27, 37, 61, 163, 131, 749, 37, 1333, 47, 2519, 25473, 40851, 55861, 113961}},
+{15338, 18, 32420, {1, 3, 5, 1, 3, 49, 19, 251, 125, 387, 1887, 3571, 1465, 4831, 3859, 43357, 20859, 225835}},
+{15339, 18, 32423, {1, 3, 5, 9, 27, 53, 53, 143, 383, 781, 819, 2921, 3499, 11551, 18761, 14453, 58209, 181763}},
+{15340, 18, 32455, {1, 3, 7, 9, 17, 17, 79, 61, 145, 413, 541, 895, 2077, 6957, 28681, 44821, 30609, 131705}},
+{15341, 18, 32456, {1, 1, 3, 15, 1, 57, 17, 125, 11, 43, 1079, 1023, 5391, 67, 31701, 5737, 429, 75411}},
+{15342, 18, 32510, {1, 1, 7, 7, 21, 45, 65, 127, 447, 793, 161, 333, 637, 7403, 12861, 30173, 125121, 254687}},
+{15343, 18, 32517, {1, 1, 3, 9, 27, 53, 85, 223, 297, 455, 919, 2371, 7049, 7167, 18075, 22815, 10265, 14765}},
+{15344, 18, 32541, {1, 1, 3, 7, 1, 53, 91, 181, 471, 101, 771, 4043, 3039, 1215, 19289, 15941, 55187, 147355}},
+{15345, 18, 32552, {1, 3, 1, 1, 13, 19, 13, 47, 159, 965, 1383, 297, 4299, 7181, 1271, 17057, 114847, 180883}},
+{15346, 18, 32555, {1, 3, 1, 15, 29, 55, 113, 243, 215, 665, 641, 1975, 5907, 2617, 17077, 43697, 61101, 70007}},
+{15347, 18, 32580, {1, 3, 1, 11, 5, 55, 109, 145, 307, 663, 1327, 1247, 8033, 15425, 18539, 57027, 72161, 181655}},
+{15348, 18, 32598, {1, 3, 5, 9, 25, 17, 3, 57, 7, 449, 1049, 3423, 5769, 12713, 29849, 1017, 92579, 131255}},
+{15349, 18, 32654, {1, 1, 7, 13, 25, 13, 55, 217, 461, 595, 931, 1883, 2645, 9625, 20467, 45825, 72027, 163767}},
+{15350, 18, 32662, {1, 3, 5, 15, 29, 49, 23, 47, 45, 645, 973, 3837, 621, 7373, 3585, 16083, 93823, 184593}},
+{15351, 18, 32665, {1, 3, 7, 11, 27, 19, 59, 125, 447, 33, 541, 1067, 6983, 3779, 27275, 34269, 106937, 65085}},
+{15352, 18, 32678, {1, 3, 1, 9, 23, 23, 51, 43, 475, 861, 1759, 2559, 3059, 1175, 31555, 27671, 117653, 162735}},
+{15353, 18, 32682, {1, 1, 7, 13, 7, 61, 33, 49, 23, 737, 949, 1785, 2921, 873, 26631, 61941, 14467, 76225}},
+{15354, 18, 32687, {1, 3, 7, 5, 31, 11, 49, 149, 7, 85, 1929, 1001, 4185, 221, 23719, 52265, 52973, 67967}},
+{15355, 18, 32692, {1, 3, 1, 13, 17, 31, 35, 191, 65, 527, 51, 1093, 3673, 11167, 29985, 59739, 43567, 109817}},
+{15356, 18, 32710, {1, 1, 1, 11, 23, 39, 95, 121, 501, 355, 1043, 993, 7533, 15763, 18399, 31601, 49373, 243209}},
+{15357, 18, 32791, {1, 1, 3, 3, 15, 37, 57, 183, 27, 981, 153, 1481, 549, 7847, 2689, 57401, 46359, 175401}},
+{15358, 18, 32792, {1, 3, 5, 9, 31, 19, 83, 79, 413, 597, 1957, 3027, 4751, 1437, 11255, 39513, 56927, 166841}},
+{15359, 18, 32813, {1, 3, 7, 5, 27, 61, 69, 65, 143, 321, 1129, 2521, 4467, 4369, 11727, 35643, 80155, 184241}},
+{15360, 18, 32826, {1, 3, 7, 1, 25, 27, 107, 219, 481, 457, 2027, 1057, 6409, 5641, 19711, 11009, 44295, 28171}},
+{15361, 18, 32831, {1, 3, 3, 9, 3, 17, 85, 5, 341, 107, 2037, 93, 741, 5279, 20093, 28637, 80823, 210279}},
+{15362, 18, 32836, {1, 1, 7, 15, 5, 9, 33, 167, 451, 463, 1951, 2395, 3821, 2915, 15195, 34517, 113545, 22173}},
+{15363, 18, 32843, {1, 1, 3, 1, 23, 55, 113, 159, 139, 795, 69, 2021, 6769, 10807, 18605, 54161, 39501, 233797}},
+{15364, 18, 32854, {1, 1, 7, 11, 17, 53, 103, 131, 385, 909, 629, 3127, 6117, 11457, 31115, 8255, 33227, 170877}},
+{15365, 18, 32893, {1, 1, 3, 9, 23, 19, 99, 221, 141, 731, 311, 2617, 2763, 375, 26763, 56473, 6613, 60519}},
+{15366, 18, 32897, {1, 3, 1, 9, 7, 29, 15, 105, 243, 159, 1755, 3999, 5861, 12009, 30111, 48269, 70427, 187173}},
+{15367, 18, 32912, {1, 1, 3, 13, 1, 35, 39, 121, 409, 571, 1835, 1535, 4671, 12671, 4503, 4783, 48009, 216837}},
+{15368, 18, 32951, {1, 1, 1, 9, 25, 61, 87, 109, 489, 107, 1741, 859, 237, 7161, 27117, 58587, 55445, 155763}},
+{15369, 18, 32963, {1, 1, 7, 15, 9, 21, 61, 159, 301, 863, 1823, 11, 419, 6717, 28199, 24129, 58419, 22147}},
+{15370, 18, 32970, {1, 3, 1, 5, 9, 7, 13, 205, 185, 759, 777, 2877, 5991, 14555, 18793, 51485, 6373, 232105}},
+{15371, 18, 32975, {1, 1, 3, 5, 7, 25, 51, 79, 227, 447, 867, 2709, 2677, 15249, 22957, 45577, 39011, 16839}},
+{15372, 18, 33028, {1, 1, 1, 3, 5, 51, 69, 135, 395, 339, 685, 3657, 3789, 16345, 2911, 51737, 97471, 126605}},
+{15373, 18, 33052, {1, 3, 7, 15, 15, 5, 85, 153, 507, 347, 1457, 527, 1055, 7773, 4161, 10487, 92373, 256535}},
+{15374, 18, 33061, {1, 3, 3, 3, 1, 9, 25, 1, 155, 321, 1739, 555, 7719, 10501, 19075, 12529, 75975, 229905}},
+{15375, 18, 33083, {1, 1, 1, 3, 29, 31, 89, 23, 283, 875, 1653, 855, 7613, 15277, 23845, 47443, 287, 217441}},
+{15376, 18, 33103, {1, 3, 3, 1, 25, 7, 75, 119, 493, 131, 231, 3063, 7171, 5437, 16385, 50347, 87427, 53603}},
+{15377, 18, 33117, {1, 3, 7, 7, 27, 55, 103, 223, 219, 103, 733, 1233, 1931, 2119, 19333, 59839, 100421, 256811}},
+{15378, 18, 33139, {1, 3, 7, 15, 23, 63, 77, 151, 285, 701, 1403, 1267, 6975, 11421, 24943, 51647, 75651, 191675}},
+{15379, 18, 33151, {1, 1, 5, 7, 25, 23, 25, 7, 503, 759, 997, 1711, 1439, 12483, 30117, 55205, 8813, 221589}},
+{15380, 18, 33162, {1, 3, 7, 5, 21, 3, 117, 65, 461, 851, 915, 575, 3061, 1055, 11999, 8375, 128677, 98005}},
+{15381, 18, 33209, {1, 3, 7, 7, 19, 13, 123, 23, 41, 293, 79, 1435, 1175, 7399, 14907, 4671, 88029, 220627}},
+{15382, 18, 33210, {1, 3, 3, 13, 11, 17, 65, 21, 143, 257, 1001, 2423, 5659, 11681, 23605, 40649, 49797, 55497}},
+{15383, 18, 33223, {1, 3, 5, 5, 29, 15, 125, 83, 139, 381, 1435, 2129, 1699, 10725, 531, 767, 112477, 134223}},
+{15384, 18, 33227, {1, 3, 7, 9, 9, 23, 35, 1, 127, 143, 707, 1475, 4705, 8921, 14919, 50909, 64425, 33381}},
+{15385, 18, 33241, {1, 1, 1, 15, 11, 63, 87, 101, 243, 833, 707, 4095, 201, 4877, 10219, 39019, 129779, 229857}},
+{15386, 18, 33263, {1, 1, 1, 11, 5, 9, 35, 177, 303, 545, 917, 1037, 1789, 12147, 29095, 27391, 112833, 104713}},
+{15387, 18, 33341, {1, 1, 1, 5, 27, 23, 111, 219, 439, 445, 967, 3527, 6203, 1829, 19657, 48965, 85213, 58719}},
+{15388, 18, 33344, {1, 3, 7, 11, 15, 7, 95, 113, 317, 225, 1229, 3033, 5777, 4075, 24093, 3539, 19333, 212757}},
+{15389, 18, 33356, {1, 3, 7, 7, 1, 35, 35, 67, 459, 769, 1675, 3509, 7393, 10433, 12003, 7385, 4425, 188989}},
+{15390, 18, 33390, {1, 1, 7, 9, 5, 45, 35, 27, 443, 301, 533, 2803, 99, 17, 20749, 58353, 93067, 118763}},
+{15391, 18, 33398, {1, 1, 3, 3, 13, 51, 61, 181, 81, 859, 1461, 3455, 2277, 13769, 1251, 4313, 119973, 30693}},
+{15392, 18, 33423, {1, 1, 3, 7, 15, 29, 23, 207, 239, 65, 1889, 151, 7793, 2657, 13673, 29033, 74477, 215027}},
+{15393, 18, 33428, {1, 1, 5, 1, 19, 35, 19, 71, 187, 783, 543, 505, 347, 3191, 1087, 49735, 54109, 27979}},
+{15394, 18, 33444, {1, 3, 3, 3, 3, 61, 67, 59, 207, 957, 1709, 1567, 7973, 5921, 29841, 8311, 81165, 91965}},
+{15395, 18, 33454, {1, 1, 1, 7, 23, 47, 109, 189, 447, 861, 1615, 3283, 3059, 749, 28729, 8713, 38743, 211019}},
+{15396, 18, 33479, {1, 3, 5, 1, 17, 51, 127, 181, 355, 515, 603, 465, 1825, 9281, 31971, 42793, 22467, 175777}},
+{15397, 18, 33510, {1, 3, 1, 5, 3, 29, 111, 91, 99, 15, 535, 3047, 1083, 7181, 28003, 60719, 71825, 12293}},
+{15398, 18, 33514, {1, 3, 5, 7, 1, 43, 83, 117, 221, 353, 139, 647, 6017, 4655, 31823, 22097, 118537, 71803}},
+{15399, 18, 33528, {1, 1, 3, 3, 27, 11, 35, 169, 215, 883, 1195, 2983, 4651, 15893, 24051, 313, 103947, 5227}},
+{15400, 18, 33548, {1, 3, 5, 13, 3, 51, 33, 159, 499, 763, 845, 1541, 3837, 9397, 855, 4187, 112167, 243817}},
+{15401, 18, 33566, {1, 1, 7, 9, 1, 15, 19, 239, 227, 561, 1685, 2841, 53, 9753, 15105, 34277, 128859, 100085}},
+{15402, 18, 33570, {1, 3, 5, 13, 15, 7, 57, 9, 415, 1005, 583, 1347, 4349, 3603, 9125, 15019, 77735, 237011}},
+{15403, 18, 33593, {1, 1, 1, 13, 27, 21, 105, 17, 235, 605, 1417, 2053, 3233, 11617, 28651, 43161, 71663, 98373}},
+{15404, 18, 33599, {1, 3, 5, 13, 29, 17, 123, 105, 477, 359, 613, 1699, 2581, 3007, 8507, 14391, 95487, 633}},
+{15405, 18, 33619, {1, 1, 7, 7, 13, 55, 107, 211, 71, 339, 1169, 2629, 165, 16207, 25523, 7101, 47553, 261131}},
+{15406, 18, 33635, {1, 3, 5, 15, 11, 7, 45, 207, 39, 41, 781, 3347, 2529, 4475, 9665, 31499, 119837, 128755}},
+{15407, 18, 33659, {1, 3, 1, 15, 23, 59, 59, 17, 89, 823, 59, 3991, 305, 14893, 1411, 8015, 92193, 66935}},
+{15408, 18, 33680, {1, 1, 7, 15, 19, 29, 11, 207, 429, 851, 1661, 2903, 4413, 447, 29447, 39243, 70435, 160451}},
+{15409, 18, 33699, {1, 1, 3, 13, 17, 5, 93, 89, 455, 67, 33, 65, 7957, 14383, 28525, 56983, 71899, 4881}},
+{15410, 18, 33713, {1, 3, 3, 5, 11, 7, 47, 233, 433, 791, 47, 2561, 6539, 1151, 2083, 12309, 62353, 69507}},
+{15411, 18, 33758, {1, 3, 5, 11, 15, 55, 101, 251, 41, 39, 383, 3481, 1817, 3447, 6205, 38169, 98267, 157091}},
+{15412, 18, 33771, {1, 3, 5, 7, 9, 47, 113, 55, 421, 703, 849, 2251, 129, 9257, 28097, 33475, 98933, 32041}},
+{15413, 18, 33779, {1, 3, 3, 11, 9, 59, 1, 211, 277, 969, 977, 3079, 4707, 3341, 17679, 9469, 52859, 125883}},
+{15414, 18, 33800, {1, 1, 7, 13, 29, 19, 49, 149, 259, 573, 1137, 2571, 2661, 12865, 24993, 10721, 96921, 85931}},
+{15415, 18, 33829, {1, 3, 1, 9, 15, 27, 91, 127, 305, 159, 523, 2539, 1969, 4325, 595, 37077, 79919, 26889}},
+{15416, 18, 33836, {1, 3, 1, 11, 1, 5, 65, 75, 317, 909, 1601, 2713, 6891, 4927, 28427, 5791, 82285, 35209}},
+{15417, 18, 33844, {1, 3, 7, 7, 9, 5, 111, 167, 477, 437, 1133, 2715, 6189, 5051, 4765, 26267, 99819, 70419}},
+{15418, 18, 33856, {1, 1, 3, 9, 27, 57, 23, 233, 423, 191, 1159, 1539, 6397, 16041, 8803, 19787, 114447, 17029}},
+{15419, 18, 33859, {1, 1, 5, 1, 11, 3, 111, 125, 287, 487, 1663, 1953, 3771, 2011, 18167, 47471, 94041, 87569}},
+{15420, 18, 33873, {1, 3, 1, 11, 5, 9, 75, 153, 37, 803, 971, 1667, 4631, 9183, 20179, 6905, 80949, 54443}},
+{15421, 18, 33874, {1, 1, 1, 5, 13, 29, 91, 201, 49, 739, 1569, 2725, 257, 5505, 5289, 40731, 27843, 16565}},
+{15422, 18, 33929, {1, 1, 7, 13, 27, 41, 81, 199, 99, 43, 1331, 3237, 6493, 3839, 19329, 44371, 19715, 60553}},
+{15423, 18, 33944, {1, 1, 5, 7, 29, 41, 67, 163, 467, 93, 1977, 2625, 6967, 6655, 19835, 39517, 10259, 200487}},
+{15424, 18, 33965, {1, 1, 3, 15, 23, 35, 31, 171, 175, 883, 593, 245, 6209, 7381, 5555, 54507, 66159, 40771}},
+{15425, 18, 33978, {1, 3, 3, 11, 3, 63, 75, 177, 239, 77, 1543, 875, 7951, 7571, 961, 9909, 101781, 160399}},
+{15426, 18, 33986, {1, 3, 1, 3, 3, 37, 71, 231, 373, 443, 835, 1321, 2107, 2929, 7527, 47969, 15329, 94537}},
+{15427, 18, 34006, {1, 3, 3, 15, 7, 5, 127, 121, 159, 25, 399, 3009, 4401, 9649, 4311, 18045, 22557, 135177}},
+{15428, 18, 34025, {1, 1, 1, 3, 29, 57, 75, 73, 261, 493, 1417, 1351, 3407, 8553, 4893, 10325, 123149, 161435}},
+{15429, 18, 34106, {1, 3, 3, 11, 15, 5, 87, 115, 337, 213, 949, 1925, 5057, 5831, 6837, 51167, 25291, 182197}},
+{15430, 18, 34126, {1, 3, 1, 11, 25, 49, 27, 101, 403, 989, 1129, 3933, 1147, 13091, 11965, 38075, 68251, 103293}},
+{15431, 18, 34171, {1, 1, 7, 5, 7, 49, 1, 189, 275, 63, 149, 3255, 1175, 7811, 24845, 20755, 99391, 140673}},
+{15432, 18, 34189, {1, 3, 1, 13, 17, 35, 37, 37, 415, 125, 643, 443, 6215, 299, 31237, 45687, 78535, 102123}},
+{15433, 18, 34204, {1, 3, 5, 3, 27, 41, 85, 215, 47, 21, 725, 1967, 2317, 121, 7827, 48229, 82027, 60271}},
+{15434, 18, 34260, {1, 3, 5, 1, 1, 55, 37, 183, 117, 421, 383, 3883, 5519, 6161, 6823, 18423, 77747, 215969}},
+{15435, 18, 34270, {1, 3, 5, 13, 31, 3, 117, 59, 375, 797, 1129, 1283, 3245, 12775, 30353, 3837, 130273, 228899}},
+{15436, 18, 34280, {1, 3, 5, 1, 7, 33, 17, 153, 179, 255, 537, 2911, 1223, 367, 18131, 25903, 33509, 220031}},
+{15437, 18, 34298, {1, 3, 7, 5, 5, 7, 103, 233, 309, 947, 1835, 3509, 4267, 15619, 5895, 30707, 81841, 191899}},
+{15438, 18, 34313, {1, 1, 5, 11, 3, 15, 91, 83, 319, 765, 895, 2565, 6833, 1719, 2971, 37483, 21709, 23193}},
+{15439, 18, 34321, {1, 1, 3, 11, 31, 57, 83, 233, 439, 161, 1503, 749, 6347, 15379, 2317, 24671, 93399, 239585}},
+{15440, 18, 34333, {1, 1, 3, 9, 29, 45, 19, 107, 295, 153, 189, 2521, 5465, 7321, 6143, 229, 100553, 258911}},
+{15441, 18, 34370, {1, 3, 7, 11, 31, 27, 95, 21, 249, 981, 1725, 1481, 1025, 9301, 11809, 53109, 29007, 127683}},
+{15442, 18, 34376, {1, 3, 1, 3, 1, 23, 97, 137, 5, 471, 1887, 1035, 2681, 5143, 3145, 1517, 88107, 245245}},
+{15443, 18, 34387, {1, 1, 1, 1, 15, 11, 13, 9, 405, 607, 403, 1693, 4363, 9365, 6425, 48121, 78969, 87341}},
+{15444, 18, 34389, {1, 1, 7, 15, 3, 17, 7, 51, 111, 1023, 9, 465, 1909, 16283, 4763, 50939, 119029, 198257}},
+{15445, 18, 34417, {1, 3, 3, 1, 31, 11, 113, 13, 499, 433, 1941, 991, 5439, 3123, 24591, 16171, 55099, 206015}},
+{15446, 18, 34429, {1, 3, 5, 15, 25, 49, 125, 101, 251, 619, 1895, 4063, 3065, 14965, 20081, 11233, 58253, 69633}},
+{15447, 18, 34440, {1, 1, 1, 5, 21, 35, 29, 241, 359, 553, 1001, 1865, 5183, 5233, 16371, 55277, 102091, 143275}},
+{15448, 18, 34443, {1, 1, 1, 3, 29, 37, 3, 191, 239, 961, 2031, 1337, 1169, 5229, 22861, 38257, 55027, 153703}},
+{15449, 18, 34451, {1, 3, 5, 7, 7, 35, 49, 139, 509, 381, 1267, 2641, 747, 16239, 23133, 32111, 70471, 128427}},
+{15450, 18, 34470, {1, 1, 1, 9, 23, 25, 117, 125, 369, 891, 103, 2215, 3571, 1291, 9001, 35671, 67119, 198847}},
+{15451, 18, 34484, {1, 1, 5, 9, 17, 19, 27, 7, 207, 55, 1099, 2117, 7511, 14999, 7761, 32215, 103401, 68599}},
+{15452, 18, 34493, {1, 1, 7, 9, 1, 59, 41, 91, 9, 225, 457, 3241, 4713, 2923, 11973, 2867, 130583, 202007}},
+{15453, 18, 34496, {1, 3, 1, 9, 31, 47, 63, 49, 457, 757, 885, 937, 2973, 12147, 2607, 52907, 126047, 83275}},
+{15454, 18, 34514, {1, 3, 5, 11, 17, 1, 79, 123, 505, 203, 1779, 71, 4357, 2285, 31625, 15225, 86519, 2021}},
+{15455, 18, 34526, {1, 3, 1, 11, 21, 17, 41, 169, 125, 995, 351, 1235, 25, 7463, 2099, 18917, 71355, 26983}},
+{15456, 18, 34535, {1, 1, 7, 1, 21, 23, 41, 5, 415, 405, 1235, 1245, 151, 11283, 25293, 45147, 12597, 39501}},
+{15457, 18, 34585, {1, 1, 1, 5, 29, 29, 15, 165, 259, 179, 1479, 3535, 779, 6583, 885, 34331, 71193, 154417}},
+{15458, 18, 34591, {1, 1, 1, 5, 3, 1, 13, 181, 507, 339, 333, 4059, 7963, 15649, 15507, 16913, 34741, 202039}},
+{15459, 18, 34592, {1, 3, 7, 1, 1, 9, 17, 119, 77, 583, 259, 883, 4011, 4275, 9599, 58663, 73237, 202783}},
+{15460, 18, 34602, {1, 1, 5, 11, 23, 27, 19, 171, 373, 779, 661, 1701, 3363, 13095, 897, 51233, 1319, 41093}},
+{15461, 18, 34607, {1, 3, 3, 3, 29, 21, 105, 29, 429, 657, 1735, 1279, 809, 14963, 9735, 23251, 44879, 159371}},
+{15462, 18, 34644, {1, 1, 5, 11, 17, 27, 117, 65, 193, 539, 1095, 439, 1687, 11277, 513, 30611, 88885, 69145}},
+{15463, 18, 34657, {1, 3, 1, 7, 11, 1, 27, 41, 63, 501, 917, 2397, 6839, 10835, 26437, 56169, 46631, 64095}},
+{15464, 18, 34675, {1, 1, 7, 15, 29, 5, 17, 217, 333, 389, 403, 3167, 3599, 12055, 30669, 44821, 109811, 237393}},
+{15465, 18, 34681, {1, 3, 5, 13, 1, 39, 51, 233, 159, 135, 763, 2499, 7741, 13099, 8639, 8043, 39827, 5989}},
+{15466, 18, 34693, {1, 1, 7, 3, 1, 61, 41, 37, 37, 67, 867, 2631, 6265, 5551, 161, 56643, 126087, 126829}},
+{15467, 18, 34706, {1, 1, 7, 1, 21, 39, 101, 225, 489, 123, 661, 2489, 1865, 6809, 21663, 59405, 45579, 51257}},
+{15468, 18, 34745, {1, 3, 7, 9, 27, 53, 11, 97, 369, 389, 1933, 3321, 543, 12331, 11571, 10685, 49049, 244027}},
+{15469, 18, 34759, {1, 3, 5, 3, 7, 15, 21, 165, 181, 877, 1161, 1815, 2097, 449, 32411, 22843, 12467, 55397}},
+{15470, 18, 34765, {1, 3, 1, 3, 11, 45, 23, 193, 287, 137, 333, 1831, 457, 583, 23081, 4525, 4781, 249509}},
+{15471, 18, 34774, {1, 3, 5, 5, 15, 13, 27, 199, 267, 297, 923, 3861, 4949, 7945, 25291, 45407, 47529, 127287}},
+{15472, 18, 34780, {1, 1, 5, 7, 19, 29, 113, 51, 503, 487, 699, 2097, 2957, 6519, 19487, 46873, 38871, 89997}},
+{15473, 18, 34794, {1, 1, 5, 13, 17, 31, 57, 127, 335, 223, 1545, 3749, 1539, 3293, 21159, 13019, 48343, 190895}},
+{15474, 18, 34807, {1, 1, 7, 9, 25, 19, 75, 41, 511, 269, 819, 3313, 6805, 15051, 4349, 1809, 34841, 190641}},
+{15475, 18, 34808, {1, 3, 5, 9, 27, 7, 91, 187, 123, 519, 477, 2719, 211, 1225, 22689, 37043, 66291, 205441}},
+{15476, 18, 34835, {1, 1, 5, 13, 5, 41, 95, 49, 187, 239, 1213, 2363, 8075, 12423, 6361, 42471, 70047, 188063}},
+{15477, 18, 34842, {1, 3, 7, 3, 27, 23, 21, 217, 65, 143, 1171, 1441, 1603, 2235, 20923, 32611, 111903, 132771}},
+{15478, 18, 34865, {1, 1, 7, 9, 3, 29, 33, 203, 497, 179, 1253, 2083, 7407, 12551, 8371, 62167, 93875, 193017}},
+{15479, 18, 34907, {1, 1, 1, 13, 7, 61, 43, 107, 417, 757, 1701, 3187, 5489, 11359, 20469, 20249, 93581, 207969}},
+{15480, 18, 34928, {1, 1, 7, 3, 31, 51, 51, 183, 483, 885, 1627, 3605, 6687, 1271, 27013, 40409, 103807, 189805}},
+{15481, 18, 34949, {1, 1, 3, 1, 21, 21, 107, 185, 267, 981, 147, 1873, 1085, 15829, 10315, 21673, 7713, 120087}},
+{15482, 18, 34961, {1, 1, 5, 3, 7, 27, 73, 131, 287, 657, 1351, 547, 3655, 2433, 6753, 2465, 110299, 194587}},
+{15483, 18, 34964, {1, 1, 7, 7, 17, 55, 29, 223, 411, 775, 745, 3515, 4573, 4289, 7411, 55999, 22021, 110567}},
+{15484, 18, 34987, {1, 3, 1, 3, 29, 55, 7, 183, 507, 773, 1299, 3653, 7693, 3773, 29549, 4171, 123039, 137495}},
+{15485, 18, 34990, {1, 1, 1, 7, 5, 25, 53, 85, 41, 837, 587, 2997, 7281, 6821, 15609, 47855, 49017, 108557}},
+{15486, 18, 35019, {1, 1, 5, 5, 1, 17, 109, 231, 295, 825, 1909, 683, 2197, 1895, 8641, 37917, 36347, 38683}},
+{15487, 18, 35069, {1, 3, 7, 3, 23, 39, 91, 121, 223, 505, 127, 3439, 7779, 12917, 17351, 33063, 84019, 40077}},
+{15488, 18, 35077, {1, 3, 3, 1, 19, 1, 125, 99, 143, 549, 709, 3605, 2377, 761, 14369, 52191, 80811, 214877}},
+{15489, 18, 35090, {1, 1, 7, 9, 13, 57, 39, 91, 505, 299, 1241, 1697, 5821, 5327, 22439, 42321, 120941, 40009}},
+{15490, 18, 35152, {1, 1, 3, 13, 15, 59, 15, 129, 265, 841, 1255, 1915, 4645, 5991, 26801, 7839, 66961, 59045}},
+{15491, 18, 35173, {1, 3, 7, 15, 17, 57, 61, 173, 391, 1001, 1815, 2565, 1445, 13237, 2273, 61683, 62327, 180255}},
+{15492, 18, 35174, {1, 1, 3, 3, 23, 29, 115, 185, 333, 103, 1807, 3271, 4803, 9743, 3031, 25263, 30761, 1899}},
+{15493, 18, 35202, {1, 1, 1, 7, 1, 13, 63, 113, 467, 17, 1803, 3141, 7069, 8895, 25823, 40347, 11211, 88769}},
+{15494, 18, 35214, {1, 3, 5, 1, 3, 3, 29, 101, 315, 915, 341, 287, 4167, 7579, 19797, 18287, 19079, 52805}},
+{15495, 18, 35219, {1, 3, 7, 15, 31, 61, 27, 153, 387, 273, 343, 881, 2273, 6621, 19391, 41735, 123899, 117851}},
+{15496, 18, 35226, {1, 1, 7, 11, 5, 49, 83, 223, 87, 341, 1023, 2785, 3635, 2651, 5179, 25907, 115249, 74001}},
+{15497, 18, 35235, {1, 3, 3, 7, 31, 37, 123, 79, 365, 455, 639, 691, 2659, 12215, 26785, 48785, 120175, 155501}},
+{15498, 18, 35255, {1, 3, 3, 11, 19, 49, 81, 97, 429, 317, 257, 663, 5009, 2855, 22721, 51553, 32511, 188977}},
+{15499, 18, 35310, {1, 1, 7, 11, 5, 37, 1, 123, 477, 747, 839, 3975, 6347, 489, 31387, 56037, 62935, 177587}},
+{15500, 18, 35318, {1, 1, 1, 1, 29, 7, 119, 233, 255, 25, 127, 1377, 991, 12151, 31259, 64863, 34733, 86101}},
+{15501, 18, 35321, {1, 3, 7, 5, 19, 57, 67, 1, 81, 719, 891, 2485, 3817, 1055, 437, 9779, 23823, 173219}},
+{15502, 18, 35333, {1, 1, 1, 5, 1, 63, 87, 163, 135, 809, 637, 1233, 5245, 481, 11011, 23477, 114963, 96051}},
+{15503, 18, 35337, {1, 1, 7, 5, 25, 39, 57, 129, 311, 525, 1555, 179, 639, 4949, 8809, 31215, 95975, 79407}},
+{15504, 18, 35346, {1, 3, 1, 1, 15, 59, 77, 87, 479, 889, 1619, 331, 4781, 10597, 935, 28105, 83861, 134273}},
+{15505, 18, 35373, {1, 3, 5, 15, 21, 55, 61, 105, 373, 185, 1579, 3487, 2621, 8993, 6443, 31709, 57329, 128165}},
+{15506, 18, 35414, {1, 3, 3, 3, 7, 21, 117, 159, 177, 927, 1873, 1865, 3219, 1693, 1173, 34365, 107053, 113949}},
+{15507, 18, 35478, {1, 3, 7, 1, 17, 37, 35, 101, 305, 141, 1681, 1949, 47, 11351, 989, 13887, 127429, 13059}},
+{15508, 18, 35497, {1, 1, 3, 7, 13, 41, 125, 115, 65, 621, 1401, 631, 5875, 8589, 17185, 22757, 83625, 92907}},
+{15509, 18, 35503, {1, 3, 1, 5, 25, 37, 73, 39, 495, 645, 265, 2685, 5875, 5919, 23223, 44593, 26207, 49921}},
+{15510, 18, 35512, {1, 3, 1, 13, 25, 31, 39, 15, 179, 791, 1817, 3617, 2139, 1827, 21215, 21767, 15009, 239443}},
+{15511, 18, 35515, {1, 1, 3, 7, 17, 9, 33, 121, 235, 535, 1537, 3307, 2881, 4351, 4721, 34131, 129619, 137993}},
+{15512, 18, 35526, {1, 1, 3, 1, 3, 51, 79, 213, 205, 323, 1749, 2563, 2013, 6519, 18923, 25937, 74445, 252283}},
+{15513, 18, 35577, {1, 3, 5, 11, 3, 53, 17, 195, 305, 543, 1937, 2997, 4593, 7801, 15307, 46359, 39365, 59537}},
+{15514, 18, 35585, {1, 1, 1, 13, 31, 53, 111, 163, 139, 163, 999, 83, 5125, 10047, 11143, 51407, 13627, 3621}},
+{15515, 18, 35592, {1, 1, 3, 9, 5, 1, 125, 95, 281, 939, 913, 1441, 1209, 12983, 27759, 22393, 75985, 178997}},
+{15516, 18, 35615, {1, 3, 5, 3, 5, 27, 91, 41, 51, 447, 491, 3405, 497, 2873, 17865, 30651, 104197, 71751}},
+{15517, 18, 35616, {1, 3, 7, 1, 29, 61, 73, 31, 423, 933, 1327, 809, 1461, 269, 15121, 18649, 36095, 139429}},
+{15518, 18, 35622, {1, 1, 7, 7, 19, 49, 51, 173, 297, 411, 1255, 1093, 2821, 6743, 1927, 27563, 68459, 261411}},
+{15519, 18, 35634, {1, 3, 5, 1, 5, 33, 27, 119, 103, 615, 149, 2299, 6801, 15615, 7361, 31045, 87719, 9557}},
+{15520, 18, 35657, {1, 1, 3, 9, 17, 23, 89, 35, 151, 385, 319, 2065, 1897, 1987, 15159, 34855, 5395, 110751}},
+{15521, 18, 35672, {1, 3, 1, 13, 7, 47, 19, 185, 207, 787, 1179, 1073, 1463, 6277, 6129, 25031, 91969, 123235}},
+{15522, 18, 35708, {1, 1, 7, 3, 19, 63, 97, 1, 381, 71, 1169, 339, 6585, 3629, 31357, 59451, 102735, 253667}},
+{15523, 18, 35772, {1, 3, 3, 13, 9, 27, 69, 17, 509, 599, 1247, 2267, 3309, 1905, 17995, 41263, 5947, 51607}},
+{15524, 18, 35790, {1, 3, 1, 9, 31, 45, 69, 243, 171, 555, 61, 1135, 1993, 8615, 18363, 19545, 64015, 81391}},
+{15525, 18, 35804, {1, 1, 1, 1, 19, 49, 31, 65, 53, 123, 271, 3007, 4509, 9465, 3855, 12673, 19457, 14677}},
+{15526, 18, 35811, {1, 3, 5, 13, 29, 53, 91, 145, 115, 53, 839, 1911, 2887, 6053, 18437, 42273, 63093, 70937}},
+{15527, 18, 35814, {1, 1, 5, 5, 27, 13, 87, 175, 485, 699, 463, 811, 4991, 15303, 23007, 10021, 59125, 39997}},
+{15528, 18, 35837, {1, 1, 5, 5, 27, 21, 89, 61, 109, 555, 953, 2811, 3015, 3249, 16085, 64413, 84605, 177333}},
+{15529, 18, 35846, {1, 1, 7, 3, 1, 29, 83, 143, 67, 577, 971, 2339, 6521, 6341, 27141, 37149, 99813, 37579}},
+{15530, 18, 35873, {1, 3, 3, 7, 23, 29, 117, 5, 287, 559, 667, 2349, 7481, 679, 9633, 40857, 89841, 98125}},
+{15531, 18, 35883, {1, 1, 1, 3, 31, 31, 83, 117, 213, 213, 23, 3803, 5967, 7759, 19521, 13229, 62231, 150687}},
+{15532, 18, 35918, {1, 3, 7, 9, 1, 15, 37, 191, 19, 107, 1723, 3517, 3477, 3777, 4359, 45815, 58661, 33217}},
+{15533, 18, 35920, {1, 1, 5, 1, 17, 3, 3, 255, 501, 1021, 1731, 481, 6145, 3475, 3417, 11847, 92203, 75109}},
+{15534, 18, 35925, {1, 1, 5, 1, 1, 61, 89, 107, 503, 627, 931, 1355, 2067, 12487, 20665, 61543, 15501, 103843}},
+{15535, 18, 35926, {1, 1, 5, 9, 25, 17, 7, 255, 251, 939, 851, 2241, 939, 15331, 29357, 2485, 80791, 152601}},
+{15536, 18, 35945, {1, 1, 5, 3, 13, 25, 35, 113, 83, 765, 1317, 1409, 369, 2215, 5659, 3581, 13925, 108673}},
+{15537, 18, 35956, {1, 1, 1, 1, 13, 13, 83, 27, 5, 563, 723, 2733, 3155, 6567, 24595, 45569, 37587, 144401}},
+{15538, 18, 36003, {1, 1, 1, 9, 31, 51, 73, 105, 299, 857, 669, 963, 4115, 14939, 11669, 46215, 92707, 149249}},
+{15539, 18, 36023, {1, 1, 3, 5, 7, 41, 105, 213, 3, 999, 93, 1497, 6783, 1559, 20047, 40761, 88219, 64769}},
+{15540, 18, 36024, {1, 3, 1, 5, 13, 17, 79, 29, 453, 75, 1095, 623, 7401, 4225, 30467, 60795, 130045, 154767}},
+{15541, 18, 36059, {1, 1, 5, 3, 31, 59, 33, 129, 505, 277, 1623, 3531, 6841, 12903, 7231, 5801, 92405, 260195}},
+{15542, 18, 36061, {1, 1, 3, 5, 27, 23, 63, 219, 225, 547, 1163, 1899, 4191, 9725, 30077, 30157, 73395, 38195}},
+{15543, 18, 36072, {1, 1, 1, 11, 17, 27, 63, 127, 95, 205, 1753, 2023, 6803, 4355, 28169, 16691, 25105, 8969}},
+{15544, 18, 36075, {1, 1, 5, 3, 23, 23, 89, 115, 231, 647, 513, 3161, 3175, 5061, 5797, 35387, 109827, 19511}},
+{15545, 18, 36103, {1, 3, 5, 5, 11, 9, 39, 251, 367, 253, 2031, 3909, 1057, 12545, 25397, 51571, 91229, 83721}},
+{15546, 18, 36110, {1, 3, 5, 7, 5, 35, 57, 153, 111, 789, 177, 2237, 1333, 13185, 993, 22099, 62113, 211815}},
+{15547, 18, 36131, {1, 1, 5, 15, 19, 37, 123, 221, 375, 605, 791, 1663, 7537, 7193, 20149, 58077, 113129, 185493}},
+{15548, 18, 36151, {1, 1, 1, 1, 1, 53, 117, 227, 441, 851, 1171, 4031, 2313, 2847, 25533, 31767, 18197, 153101}},
+{15549, 18, 36160, {1, 1, 3, 3, 13, 9, 65, 225, 71, 763, 1507, 3795, 4321, 399, 12515, 4527, 89193, 236161}},
+{15550, 18, 36199, {1, 1, 3, 11, 21, 63, 73, 125, 369, 309, 953, 3525, 3925, 13609, 26061, 21739, 112867, 112985}},
+{15551, 18, 36223, {1, 1, 7, 1, 27, 25, 3, 129, 321, 193, 1871, 233, 837, 11163, 14861, 42721, 72849, 206739}},
+{15552, 18, 36227, {1, 3, 7, 3, 5, 51, 43, 177, 167, 11, 1297, 1805, 515, 6485, 8253, 271, 47435, 252291}},
+{15553, 18, 36234, {1, 3, 3, 3, 19, 47, 47, 47, 299, 101, 1535, 3593, 4669, 10367, 19219, 16579, 85269, 36115}},
+{15554, 18, 36236, {1, 1, 7, 15, 7, 51, 53, 181, 379, 267, 985, 3401, 2189, 10197, 14183, 413, 76797, 24751}},
+{15555, 18, 36284, {1, 1, 5, 7, 13, 27, 65, 119, 235, 131, 1921, 3411, 1511, 11221, 30315, 11799, 127563, 203533}},
+{15556, 18, 36319, {1, 3, 1, 3, 13, 55, 101, 189, 483, 261, 467, 645, 417, 6203, 9221, 19671, 102331, 259335}},
+{15557, 18, 36332, {1, 1, 5, 15, 19, 7, 81, 1, 371, 119, 1433, 1211, 303, 14393, 27107, 45295, 109211, 224661}},
+{15558, 18, 36343, {1, 3, 7, 9, 19, 53, 31, 55, 103, 351, 1511, 377, 981, 6709, 19553, 53579, 55043, 170489}},
+{15559, 18, 36373, {1, 3, 3, 15, 31, 49, 1, 251, 187, 73, 119, 3041, 5455, 5355, 22245, 7735, 14661, 258447}},
+{15560, 18, 36401, {1, 3, 7, 11, 13, 1, 61, 97, 179, 975, 1653, 3301, 4303, 2271, 30171, 63287, 51271, 21909}},
+{15561, 18, 36413, {1, 1, 5, 11, 21, 45, 101, 131, 121, 881, 1205, 1849, 4337, 5687, 31967, 22559, 98017, 202557}},
+{15562, 18, 36433, {1, 3, 3, 7, 1, 49, 11, 35, 141, 309, 651, 3319, 4313, 3675, 27699, 49429, 109805, 167089}},
+{15563, 18, 36459, {1, 1, 3, 13, 13, 15, 61, 251, 335, 365, 677, 2183, 6291, 8857, 15231, 551, 63149, 76729}},
+{15564, 18, 36480, {1, 3, 3, 13, 1, 59, 85, 127, 409, 1007, 1947, 3495, 6227, 11447, 14329, 3769, 109619, 59063}},
+{15565, 18, 36485, {1, 3, 5, 11, 11, 59, 67, 209, 491, 757, 1137, 1977, 3155, 9339, 11219, 20303, 66417, 187911}},
+{15566, 18, 36510, {1, 1, 5, 9, 27, 51, 87, 249, 327, 867, 29, 3811, 4769, 12353, 24803, 35747, 84101, 210975}},
+{15567, 18, 36513, {1, 3, 7, 7, 23, 37, 23, 55, 237, 543, 779, 1305, 1535, 13333, 1403, 10903, 113135, 195799}},
+{15568, 18, 36523, {1, 1, 3, 11, 1, 1, 3, 153, 401, 35, 981, 79, 4227, 9203, 8179, 29325, 104809, 140613}},
+{15569, 18, 36528, {1, 3, 5, 9, 13, 39, 101, 181, 507, 307, 1411, 1443, 6855, 8747, 22709, 37869, 102303, 577}},
+{15570, 18, 36537, {1, 3, 5, 1, 25, 41, 3, 239, 195, 1, 1277, 2085, 4253, 14683, 24171, 56733, 82795, 213291}},
+{15571, 18, 36558, {1, 1, 3, 5, 25, 55, 31, 55, 215, 149, 1813, 3775, 779, 6137, 10561, 41671, 96883, 177435}},
+{15572, 18, 36563, {1, 1, 5, 11, 15, 5, 1, 237, 131, 13, 229, 3203, 2431, 1829, 31983, 59535, 31381, 175455}},
+{15573, 18, 36576, {1, 3, 3, 7, 5, 19, 61, 253, 223, 609, 1395, 2495, 5501, 6571, 12989, 889, 49435, 200251}},
+{15574, 18, 36608, {1, 1, 7, 13, 25, 49, 33, 157, 457, 259, 1935, 2249, 7419, 12685, 30509, 32187, 108839, 178963}},
+{15575, 18, 36611, {1, 3, 3, 15, 19, 27, 91, 133, 369, 931, 359, 759, 2647, 13643, 14877, 14031, 115367, 201745}},
+{15576, 18, 36617, {1, 1, 5, 3, 9, 23, 87, 27, 203, 995, 1759, 999, 949, 2733, 29053, 46581, 129003, 42585}},
+{15577, 18, 36653, {1, 1, 3, 1, 1, 21, 63, 243, 257, 741, 681, 2471, 2455, 15145, 31739, 8751, 15963, 165405}},
+{15578, 18, 36716, {1, 3, 3, 1, 25, 21, 69, 213, 219, 9, 199, 487, 4103, 141, 18177, 58797, 60415, 6313}},
+{15579, 18, 36721, {1, 3, 1, 5, 23, 43, 61, 121, 123, 89, 283, 1313, 2707, 10199, 7699, 17437, 130995, 140327}},
+{15580, 18, 36733, {1, 3, 5, 13, 31, 41, 111, 39, 403, 5, 1125, 2867, 3143, 7051, 9891, 43349, 20751, 88465}},
+{15581, 18, 36761, {1, 1, 3, 1, 19, 53, 83, 207, 285, 789, 1515, 3455, 4057, 15777, 27879, 46971, 122661, 143407}},
+{15582, 18, 36783, {1, 3, 3, 11, 25, 21, 127, 191, 313, 357, 1625, 1323, 1151, 12509, 22275, 23517, 12221, 258709}},
+{15583, 18, 36786, {1, 1, 5, 7, 1, 47, 1, 107, 387, 965, 1319, 2911, 2121, 8595, 9, 21587, 81187, 2803}},
+{15584, 18, 36795, {1, 3, 3, 5, 19, 55, 37, 213, 23, 767, 1493, 635, 4289, 2503, 16835, 47851, 77335, 60565}},
+{15585, 18, 36800, {1, 1, 1, 7, 23, 9, 101, 145, 457, 691, 1895, 2145, 7527, 7687, 20781, 10957, 24859, 79137}},
+{15586, 18, 36810, {1, 3, 7, 15, 9, 9, 15, 195, 493, 859, 687, 1445, 429, 8599, 24591, 40709, 118361, 148163}},
+{15587, 18, 36812, {1, 1, 1, 3, 7, 51, 45, 143, 339, 475, 1177, 2829, 785, 10141, 4923, 29135, 22603, 119973}},
+{15588, 18, 36817, {1, 3, 5, 15, 25, 37, 1, 13, 351, 127, 143, 2637, 1215, 14577, 12465, 10575, 67997, 21877}},
+{15589, 18, 36818, {1, 3, 7, 3, 27, 19, 59, 241, 327, 307, 731, 3471, 6123, 13607, 8793, 14825, 110681, 83259}},
+{15590, 18, 36851, {1, 1, 1, 11, 25, 5, 59, 85, 335, 189, 499, 1305, 5801, 7259, 2397, 14045, 55585, 258579}},
+{15591, 18, 36853, {1, 1, 3, 5, 21, 49, 49, 63, 261, 657, 1453, 55, 1325, 15513, 14891, 60689, 15381, 252641}},
+{15592, 18, 36868, {1, 1, 7, 15, 25, 3, 85, 33, 495, 867, 903, 1813, 2871, 365, 17399, 45695, 102851, 225873}},
+{15593, 18, 36889, {1, 1, 1, 13, 13, 63, 29, 35, 325, 893, 1313, 133, 8169, 7791, 9271, 36759, 92275, 169717}},
+{15594, 18, 36890, {1, 1, 7, 3, 21, 45, 7, 151, 387, 891, 1921, 1701, 307, 5323, 16321, 51229, 79369, 21513}},
+{15595, 18, 36896, {1, 1, 1, 11, 7, 27, 17, 75, 161, 649, 337, 1731, 2905, 4589, 17387, 10455, 70673, 228373}},
+{15596, 18, 36905, {1, 1, 3, 15, 17, 35, 45, 131, 469, 629, 1771, 1965, 5065, 6249, 29041, 52791, 55619, 154531}},
+{15597, 18, 36919, {1, 1, 7, 3, 25, 53, 85, 233, 161, 163, 1155, 3159, 1551, 13099, 25647, 26777, 91647, 162755}},
+{15598, 18, 36938, {1, 1, 3, 9, 17, 11, 39, 63, 503, 927, 1621, 3425, 4835, 7083, 16449, 47913, 127905, 165567}},
+{15599, 18, 36946, {1, 1, 7, 1, 29, 9, 1, 111, 285, 1009, 1427, 3071, 205, 12269, 31337, 14501, 10923, 14277}},
+{15600, 18, 36951, {1, 1, 5, 5, 1, 3, 51, 205, 477, 661, 1555, 2113, 6487, 4755, 13633, 16391, 35775, 52623}},
+{15601, 18, 36952, {1, 3, 3, 3, 27, 23, 109, 49, 71, 19, 733, 1361, 4369, 14527, 20443, 10507, 120183, 246115}},
+{15602, 18, 36964, {1, 3, 3, 5, 7, 47, 51, 197, 97, 471, 1631, 3317, 5857, 9405, 30359, 7741, 45079, 175929}},
+{15603, 18, 36968, {1, 1, 3, 3, 13, 63, 39, 173, 511, 525, 1687, 1735, 6877, 7383, 27971, 26503, 6189, 232251}},
+{15604, 18, 36979, {1, 1, 5, 3, 5, 31, 101, 99, 51, 987, 1627, 3899, 6321, 9441, 4983, 64001, 30923, 199495}},
+{15605, 18, 36981, {1, 3, 1, 1, 11, 39, 119, 123, 33, 1017, 1477, 283, 4939, 453, 16445, 25599, 106857, 257811}},
+{15606, 18, 37021, {1, 3, 1, 11, 13, 1, 3, 101, 275, 75, 1795, 1449, 2503, 11765, 19299, 14237, 157, 244825}},
+{15607, 18, 37026, {1, 3, 7, 15, 23, 1, 85, 65, 55, 103, 1523, 1443, 1021, 5733, 3297, 10889, 22487, 82503}},
+{15608, 18, 37075, {1, 1, 7, 3, 17, 59, 109, 113, 17, 173, 1709, 273, 5327, 3243, 10751, 58361, 42303, 78391}},
+{15609, 18, 37077, {1, 1, 5, 15, 25, 11, 101, 133, 193, 131, 1671, 3045, 7111, 14331, 15665, 56407, 31561, 154555}},
+{15610, 18, 37108, {1, 3, 3, 5, 15, 41, 105, 65, 81, 293, 389, 2653, 1883, 14741, 23553, 33349, 39665, 154233}},
+{15611, 18, 37112, {1, 1, 5, 15, 31, 19, 121, 41, 261, 511, 1679, 957, 1647, 12647, 12285, 30291, 122483, 187911}},
+{15612, 18, 37150, {1, 3, 1, 5, 27, 25, 17, 45, 303, 947, 1123, 2729, 281, 12389, 27987, 42667, 16089, 17129}},
+{15613, 18, 37154, {1, 3, 7, 15, 13, 17, 25, 223, 125, 837, 159, 253, 2599, 11381, 639, 32545, 50633, 139025}},
+{15614, 18, 37156, {1, 3, 1, 13, 23, 43, 25, 83, 507, 47, 99, 697, 4453, 2139, 17151, 50709, 37099, 212957}},
+{15615, 18, 37163, {1, 1, 7, 7, 29, 7, 63, 141, 475, 853, 1073, 143, 6979, 5663, 29691, 59489, 89689, 223047}},
+{15616, 18, 37178, {1, 1, 1, 1, 13, 27, 101, 61, 27, 735, 207, 2065, 5811, 5461, 21493, 15481, 103727, 80017}},
+{15617, 18, 37183, {1, 3, 1, 11, 9, 9, 35, 251, 147, 841, 1891, 1909, 5053, 5103, 11751, 16209, 110475, 114875}},
+{15618, 18, 37185, {1, 3, 3, 11, 13, 55, 117, 205, 71, 159, 1797, 989, 2221, 16087, 18287, 8355, 96403, 146613}},
+{15619, 18, 37191, {1, 1, 5, 5, 29, 25, 73, 63, 299, 839, 1225, 3583, 5641, 1341, 29431, 7035, 99107, 13493}},
+{15620, 18, 37198, {1, 1, 3, 5, 27, 53, 9, 51, 79, 701, 667, 1469, 4455, 13761, 18607, 39429, 7687, 201115}},
+{15621, 18, 37203, {1, 3, 7, 11, 23, 35, 101, 129, 491, 369, 565, 2557, 2529, 1003, 16003, 33873, 52155, 861}},
+{15622, 18, 37225, {1, 1, 1, 15, 27, 63, 1, 55, 331, 853, 899, 1027, 7389, 8935, 12559, 27315, 101753, 255331}},
+{15623, 18, 37243, {1, 3, 3, 15, 5, 41, 93, 39, 473, 887, 1667, 847, 7619, 8407, 6539, 31989, 63807, 21861}},
+{15624, 18, 37252, {1, 1, 5, 11, 27, 57, 73, 249, 331, 653, 21, 2937, 4403, 16195, 18785, 30375, 22939, 235291}},
+{15625, 18, 37262, {1, 1, 7, 1, 7, 41, 59, 161, 295, 503, 595, 3021, 455, 3991, 8617, 65361, 107239, 83205}},
+{15626, 18, 37264, {1, 3, 3, 15, 17, 41, 61, 229, 273, 687, 657, 1969, 2817, 2367, 29183, 41199, 24123, 184081}},
+{15627, 18, 37276, {1, 3, 7, 5, 25, 63, 43, 65, 443, 423, 549, 2031, 3353, 7041, 6563, 18819, 46047, 239823}},
+{15628, 18, 37327, {1, 3, 3, 3, 3, 17, 13, 115, 377, 623, 1959, 127, 5125, 13209, 24731, 23151, 21303, 7213}},
+{15629, 18, 37355, {1, 1, 7, 1, 21, 11, 21, 41, 491, 37, 1759, 2771, 1301, 12995, 17621, 30907, 75511, 82321}},
+{15630, 18, 37403, {1, 3, 3, 13, 13, 23, 77, 211, 215, 711, 427, 2213, 8041, 1595, 26105, 39051, 105407, 242141}},
+{15631, 18, 37415, {1, 3, 3, 9, 13, 35, 117, 207, 75, 395, 723, 3321, 6643, 2429, 10043, 10585, 3529, 64067}},
+{15632, 18, 37422, {1, 1, 1, 7, 3, 1, 83, 93, 311, 157, 891, 1717, 7669, 16067, 11775, 27693, 11757, 94471}},
+{15633, 18, 37448, {1, 3, 3, 5, 17, 63, 23, 177, 289, 921, 315, 3083, 5903, 8697, 22425, 37845, 31171, 49237}},
+{15634, 18, 37451, {1, 1, 7, 9, 21, 63, 29, 227, 427, 271, 525, 2071, 7103, 8389, 29185, 51601, 110737, 16949}},
+{15635, 18, 37478, {1, 3, 3, 3, 3, 49, 25, 173, 79, 343, 509, 1939, 6389, 15501, 20135, 54365, 69931, 135269}},
+{15636, 18, 37484, {1, 1, 3, 3, 21, 23, 41, 71, 169, 947, 1027, 2345, 3397, 12181, 15409, 31725, 41223, 58837}},
+{15637, 18, 37525, {1, 3, 7, 1, 19, 23, 57, 201, 27, 449, 1479, 921, 4703, 10949, 14369, 27929, 45399, 46055}},
+{15638, 18, 37553, {1, 1, 3, 9, 13, 17, 125, 17, 393, 295, 497, 3089, 6589, 4003, 8687, 48145, 2683, 175521}},
+{15639, 18, 37640, {1, 3, 3, 15, 15, 13, 3, 31, 51, 101, 973, 101, 3709, 13437, 51, 14293, 21561, 136497}},
+{15640, 18, 37645, {1, 1, 5, 11, 17, 27, 51, 45, 77, 539, 225, 2029, 533, 153, 26085, 33611, 28153, 75671}},
+{15641, 18, 37658, {1, 1, 1, 15, 3, 59, 59, 123, 475, 225, 1613, 3121, 2865, 4647, 14553, 35449, 121657, 37457}},
+{15642, 18, 37667, {1, 1, 5, 1, 27, 33, 121, 225, 57, 619, 1293, 3813, 2121, 3525, 21995, 47253, 33095, 257451}},
+{15643, 18, 37708, {1, 3, 1, 11, 11, 43, 115, 233, 335, 185, 989, 3567, 4135, 2357, 20559, 43325, 43015, 51695}},
+{15644, 18, 37723, {1, 1, 5, 9, 11, 49, 45, 187, 93, 967, 1609, 2511, 1549, 4045, 21309, 16341, 13495, 214827}},
+{15645, 18, 37732, {1, 1, 1, 13, 21, 23, 81, 7, 259, 483, 1059, 773, 5297, 10123, 9857, 61187, 47355, 76307}},
+{15646, 18, 37747, {1, 3, 7, 9, 29, 51, 113, 255, 223, 853, 1173, 1019, 1587, 9629, 22373, 32731, 125179, 193271}},
+{15647, 18, 37753, {1, 1, 5, 11, 3, 55, 25, 145, 347, 451, 1447, 3399, 5873, 11579, 11107, 64707, 10161, 142003}},
+{15648, 18, 37772, {1, 1, 1, 7, 15, 49, 109, 93, 267, 919, 177, 2247, 8129, 8039, 15629, 63767, 98153, 143255}},
+{15649, 18, 37789, {1, 1, 5, 3, 3, 27, 47, 151, 231, 35, 155, 2745, 7349, 6543, 14117, 19549, 54927, 10819}},
+{15650, 18, 37817, {1, 3, 7, 15, 31, 29, 17, 203, 249, 169, 1071, 3069, 6269, 3455, 27177, 33761, 111003, 4527}},
+{15651, 18, 37826, {1, 3, 1, 5, 31, 15, 65, 189, 3, 917, 857, 1221, 3553, 2883, 3631, 32971, 68057, 109081}},
+{15652, 18, 37831, {1, 3, 1, 9, 3, 55, 127, 57, 125, 463, 199, 317, 3373, 967, 5569, 55997, 17167, 33585}},
+{15653, 18, 37845, {1, 3, 5, 1, 9, 57, 15, 89, 335, 119, 1445, 1931, 4177, 2495, 27507, 8209, 60003, 29657}},
+{15654, 18, 37855, {1, 3, 5, 7, 15, 43, 83, 117, 283, 131, 653, 57, 6789, 7633, 30525, 64131, 101981, 122017}},
+{15655, 18, 37859, {1, 3, 7, 11, 3, 17, 115, 217, 391, 825, 1633, 885, 7787, 5595, 12235, 30233, 53587, 62985}},
+{15656, 18, 37866, {1, 1, 5, 3, 5, 13, 99, 1, 75, 329, 1247, 107, 2337, 4201, 6217, 12273, 41585, 46563}},
+{15657, 18, 37880, {1, 3, 1, 15, 25, 53, 33, 125, 311, 955, 161, 3631, 581, 11915, 4223, 63207, 16517, 201665}},
+{15658, 18, 37885, {1, 1, 5, 1, 27, 23, 93, 211, 483, 691, 949, 1825, 391, 12111, 13639, 61009, 88503, 104823}},
+{15659, 18, 37897, {1, 3, 1, 13, 3, 9, 51, 133, 259, 977, 697, 661, 7661, 3987, 8327, 50155, 112235, 236135}},
+{15660, 18, 37906, {1, 1, 3, 13, 7, 39, 121, 37, 151, 973, 1275, 2699, 3345, 7167, 19245, 55535, 12305, 33567}},
+{15661, 18, 37948, {1, 1, 1, 1, 27, 5, 91, 63, 409, 579, 459, 2335, 4721, 3305, 11293, 15405, 74513, 157863}},
+{15662, 18, 37954, {1, 1, 5, 1, 21, 45, 55, 111, 475, 381, 659, 1131, 3575, 5165, 27221, 46757, 53587, 90741}},
+{15663, 18, 37978, {1, 1, 5, 15, 11, 31, 121, 209, 69, 389, 779, 2833, 4519, 1801, 4363, 24723, 105849, 54475}},
+{15664, 18, 37980, {1, 1, 3, 9, 7, 19, 11, 75, 275, 77, 1997, 1661, 6139, 13165, 30653, 49469, 67053, 3811}},
+{15665, 18, 37990, {1, 1, 3, 9, 5, 11, 5, 151, 395, 715, 1381, 3011, 5939, 1805, 8063, 62877, 99749, 112951}},
+{15666, 18, 38001, {1, 1, 5, 13, 19, 15, 113, 47, 455, 173, 1897, 701, 6093, 2089, 3977, 20599, 60947, 23671}},
+{15667, 18, 38020, {1, 1, 1, 13, 23, 19, 13, 117, 275, 313, 1683, 2975, 179, 3949, 4361, 60211, 91999, 211219}},
+{15668, 18, 38029, {1, 3, 5, 15, 13, 53, 83, 161, 491, 1001, 1773, 1227, 1965, 14479, 17677, 24399, 86431, 203303}},
+{15669, 18, 38047, {1, 1, 7, 15, 5, 51, 103, 131, 351, 747, 1227, 2859, 6693, 10615, 29485, 6619, 106239, 148739}},
+{15670, 18, 38063, {1, 3, 5, 1, 9, 43, 91, 173, 223, 393, 1181, 3785, 6589, 1299, 10217, 20891, 64125, 63409}},
+{15671, 18, 38077, {1, 1, 5, 7, 11, 23, 45, 57, 397, 771, 511, 1849, 343, 14139, 26271, 56241, 52581, 163187}},
+{15672, 18, 38110, {1, 3, 7, 5, 15, 59, 89, 151, 255, 247, 291, 219, 995, 10821, 1445, 35581, 88767, 16871}},
+{15673, 18, 38116, {1, 1, 7, 11, 7, 25, 3, 175, 253, 193, 1641, 1669, 7095, 11871, 10801, 42567, 120663, 109347}},
+{15674, 18, 38119, {1, 3, 5, 7, 31, 41, 119, 39, 149, 653, 153, 2783, 1377, 5223, 17915, 3127, 41869, 193477}},
+{15675, 18, 38176, {1, 3, 3, 13, 23, 19, 47, 85, 487, 103, 237, 2363, 4451, 5077, 23749, 17011, 73561, 169165}},
+{15676, 18, 38186, {1, 1, 3, 9, 21, 25, 77, 235, 53, 681, 1463, 2093, 1525, 12797, 5469, 54277, 15587, 68395}},
+{15677, 18, 38194, {1, 1, 1, 15, 23, 63, 63, 225, 239, 143, 1073, 199, 3231, 1371, 11215, 5999, 100705, 174681}},
+{15678, 18, 38218, {1, 1, 1, 3, 17, 25, 69, 179, 445, 695, 281, 379, 8115, 9443, 13221, 50669, 37369, 62151}},
+{15679, 18, 38241, {1, 3, 3, 9, 11, 29, 21, 89, 441, 353, 401, 1139, 5003, 8087, 24457, 50237, 110993, 117233}},
+{15680, 18, 38247, {1, 3, 3, 1, 13, 45, 31, 249, 295, 149, 591, 2071, 3611, 931, 16261, 8239, 82767, 195665}},
+{15681, 18, 38261, {1, 3, 3, 9, 19, 47, 69, 177, 493, 231, 431, 1359, 6867, 7641, 15661, 25285, 65477, 212643}},
+{15682, 18, 38268, {1, 3, 3, 13, 19, 63, 83, 153, 367, 407, 547, 661, 7743, 5473, 2993, 62937, 33811, 101313}},
+{15683, 18, 38277, {1, 3, 5, 3, 29, 17, 19, 203, 79, 279, 1333, 1851, 51, 9793, 12955, 17383, 73437, 121743}},
+{15684, 18, 38287, {1, 1, 1, 11, 11, 43, 31, 187, 463, 827, 1511, 225, 845, 8963, 1553, 61269, 122033, 245633}},
+{15685, 18, 38295, {1, 1, 3, 3, 31, 23, 9, 241, 377, 317, 655, 2197, 2461, 13239, 15649, 7879, 55085, 129855}},
+{15686, 18, 38299, {1, 3, 5, 7, 9, 37, 1, 191, 185, 145, 1567, 3423, 1127, 1991, 10741, 38407, 22915, 222845}},
+{15687, 18, 38301, {1, 1, 5, 3, 27, 31, 11, 227, 307, 973, 745, 1079, 7479, 10065, 31389, 19195, 114775, 246615}},
+{15688, 18, 38305, {1, 3, 1, 11, 29, 27, 11, 83, 205, 399, 1489, 739, 715, 7955, 16473, 21127, 62379, 260399}},
+{15689, 18, 38312, {1, 3, 3, 3, 25, 25, 123, 163, 399, 841, 963, 2089, 4949, 13085, 19831, 15345, 60377, 164235}},
+{15690, 18, 38315, {1, 1, 1, 9, 3, 21, 101, 105, 397, 23, 1505, 3201, 547, 295, 23247, 18823, 115243, 151073}},
+{15691, 18, 38317, {1, 3, 7, 1, 31, 27, 111, 23, 205, 709, 1625, 3921, 6225, 11039, 29549, 51239, 119003, 133663}},
+{15692, 18, 38343, {1, 3, 3, 11, 21, 49, 111, 195, 25, 833, 1991, 563, 7031, 15429, 5707, 12351, 32221, 16599}},
+{15693, 18, 38344, {1, 1, 5, 7, 5, 7, 39, 171, 39, 921, 385, 2343, 625, 15355, 4923, 36597, 56901, 148377}},
+{15694, 18, 38350, {1, 1, 3, 15, 7, 43, 89, 217, 67, 271, 853, 147, 6767, 3183, 341, 40769, 116767, 22351}},
+{15695, 18, 38358, {1, 3, 5, 7, 7, 3, 105, 27, 183, 59, 953, 4027, 1277, 10323, 29437, 56085, 32677, 198067}},
+{15696, 18, 38364, {1, 1, 1, 15, 23, 29, 51, 209, 13, 177, 1103, 1723, 2877, 9199, 25601, 15537, 8599, 230819}},
+{15697, 18, 38371, {1, 1, 7, 1, 29, 39, 41, 217, 467, 423, 431, 2707, 2017, 11865, 11989, 12045, 71349, 6311}},
+{15698, 18, 38373, {1, 1, 1, 13, 15, 25, 3, 55, 403, 833, 1843, 1159, 1703, 2221, 15379, 65027, 18327, 108881}},
+{15699, 18, 38377, {1, 3, 7, 13, 3, 27, 13, 227, 215, 873, 1073, 1117, 7941, 13607, 7571, 6957, 44991, 239761}},
+{15700, 18, 38392, {1, 3, 7, 11, 23, 1, 95, 235, 283, 977, 1443, 161, 5937, 4351, 30835, 35569, 57509, 1835}},
+{15701, 18, 38407, {1, 3, 3, 13, 11, 1, 85, 75, 261, 543, 9, 899, 5821, 5465, 9771, 53707, 101003, 219215}},
+{15702, 18, 38408, {1, 3, 1, 7, 21, 49, 35, 19, 35, 759, 1467, 1423, 6355, 8415, 563, 24157, 121029, 87309}},
+{15703, 18, 38421, {1, 1, 7, 1, 9, 13, 65, 85, 209, 583, 387, 1743, 2665, 12021, 7525, 27665, 45885, 135039}},
+{15704, 18, 38438, {1, 1, 7, 11, 29, 41, 91, 17, 291, 211, 1801, 493, 899, 14491, 1741, 28971, 35205, 131417}},
+{15705, 18, 38442, {1, 1, 5, 13, 23, 55, 119, 165, 61, 653, 1375, 3575, 5081, 7767, 19963, 61583, 107149, 240639}},
+{15706, 18, 38464, {1, 3, 5, 15, 25, 3, 51, 27, 127, 259, 55, 2221, 3951, 6243, 15825, 42881, 37009, 254401}},
+{15707, 18, 38473, {1, 3, 5, 11, 25, 63, 13, 105, 111, 677, 1545, 2399, 4419, 10853, 7213, 17183, 103411, 67459}},
+{15708, 18, 38484, {1, 1, 1, 11, 11, 31, 73, 125, 155, 545, 1857, 2749, 6389, 4083, 16239, 23651, 68881, 43455}},
+{15709, 18, 38491, {1, 3, 7, 7, 21, 3, 117, 237, 431, 17, 687, 2613, 7483, 3253, 30511, 53833, 33077, 157055}},
+{15710, 18, 38510, {1, 1, 1, 1, 1, 57, 65, 97, 415, 477, 1003, 1415, 1493, 12993, 30965, 24809, 1467, 213021}},
+{15711, 18, 38518, {1, 1, 3, 7, 25, 33, 45, 25, 511, 733, 1077, 2483, 5899, 14295, 11631, 50609, 128989, 45177}},
+{15712, 18, 38531, {1, 1, 3, 3, 25, 17, 115, 31, 115, 191, 293, 3991, 3039, 6751, 16217, 16517, 21121, 193641}},
+{15713, 18, 38537, {1, 3, 3, 13, 25, 23, 7, 51, 363, 641, 333, 2533, 605, 1105, 12941, 4195, 129571, 13253}},
+{15714, 18, 38538, {1, 3, 1, 11, 17, 21, 7, 205, 293, 159, 9, 441, 3287, 10247, 2115, 54099, 128109, 8137}},
+{15715, 18, 38567, {1, 1, 7, 5, 21, 17, 43, 87, 117, 737, 149, 3175, 343, 8509, 12147, 22041, 80037, 23277}},
+{15716, 18, 38594, {1, 3, 3, 1, 3, 7, 101, 245, 11, 1003, 175, 2323, 7807, 15611, 5161, 10277, 37009, 83231}},
+{15717, 18, 38647, {1, 3, 1, 5, 13, 17, 113, 75, 315, 237, 77, 587, 5409, 2053, 22551, 15205, 82545, 18531}},
+{15718, 18, 38651, {1, 3, 5, 11, 9, 57, 61, 117, 281, 111, 369, 2411, 1691, 3391, 5379, 8237, 87329, 4253}},
+{15719, 18, 38654, {1, 3, 3, 3, 19, 25, 101, 1, 495, 25, 1317, 2333, 6183, 12215, 27879, 56403, 37169, 71635}},
+{15720, 18, 38686, {1, 1, 3, 5, 17, 63, 49, 127, 171, 405, 1763, 3697, 405, 2233, 4137, 28787, 108319, 53133}},
+{15721, 18, 38702, {1, 1, 5, 7, 23, 43, 87, 189, 97, 239, 1459, 2115, 7517, 7799, 28957, 37105, 71835, 199195}},
+{15722, 18, 38751, {1, 3, 1, 3, 25, 25, 23, 61, 369, 717, 1711, 1103, 7535, 9871, 25, 26849, 55955, 113389}},
+{15723, 18, 38821, {1, 1, 1, 11, 25, 57, 33, 175, 127, 541, 1031, 2847, 2069, 4033, 25593, 10615, 50097, 122955}},
+{15724, 18, 38825, {1, 3, 3, 13, 11, 27, 97, 171, 245, 33, 213, 4069, 753, 3535, 11727, 34941, 100543, 220789}},
+{15725, 18, 38853, {1, 3, 3, 9, 3, 17, 13, 237, 477, 507, 1751, 3191, 3385, 13977, 23355, 57355, 64341, 37683}},
+{15726, 18, 38863, {1, 1, 7, 13, 13, 43, 7, 153, 209, 7, 63, 585, 1715, 13313, 25355, 46759, 71893, 29755}},
+{15727, 18, 38882, {1, 3, 3, 3, 11, 23, 11, 147, 135, 1011, 1105, 3931, 3861, 13589, 32183, 30727, 37685, 67123}},
+{15728, 18, 38884, {1, 3, 7, 1, 11, 13, 25, 229, 147, 843, 329, 3337, 7559, 13193, 3011, 31549, 102461, 46195}},
+{15729, 18, 38932, {1, 1, 5, 11, 5, 47, 127, 89, 53, 663, 261, 541, 7743, 13037, 9013, 23079, 81225, 239875}},
+{15730, 18, 38941, {1, 1, 7, 3, 5, 39, 15, 177, 357, 357, 1959, 1721, 6703, 11829, 1195, 42113, 88699, 244347}},
+{15731, 18, 38952, {1, 1, 5, 15, 25, 19, 7, 3, 225, 773, 1535, 99, 6555, 4105, 19137, 56155, 109141, 161015}},
+{15732, 18, 38960, {1, 1, 5, 15, 5, 59, 41, 53, 203, 459, 1063, 3015, 5397, 1559, 20835, 57773, 67687, 206189}},
+{15733, 18, 38980, {1, 3, 1, 11, 17, 25, 61, 221, 37, 809, 1461, 1961, 7697, 1777, 23179, 54761, 7787, 177737}},
+{15734, 18, 38995, {1, 3, 7, 15, 27, 21, 49, 107, 353, 677, 461, 239, 5871, 1059, 3011, 32397, 13149, 103973}},
+{15735, 18, 39004, {1, 1, 5, 3, 11, 53, 61, 239, 479, 913, 479, 3435, 4979, 7931, 16841, 60077, 26667, 212601}},
+{15736, 18, 39013, {1, 1, 3, 5, 3, 19, 43, 143, 353, 507, 871, 2547, 7321, 6163, 9425, 62911, 86153, 239011}},
+{15737, 18, 39017, {1, 1, 1, 3, 15, 7, 115, 43, 69, 299, 1235, 1511, 3111, 7465, 769, 46981, 127707, 195839}},
+{15738, 18, 39026, {1, 1, 1, 5, 23, 27, 19, 21, 273, 291, 953, 3577, 3147, 3863, 18625, 53505, 33699, 123305}},
+{15739, 18, 39056, {1, 3, 5, 9, 3, 11, 89, 27, 447, 119, 493, 2605, 8175, 8837, 27555, 2319, 99101, 79121}},
+{15740, 18, 39121, {1, 1, 7, 11, 1, 11, 77, 129, 97, 261, 1241, 3117, 1627, 5397, 6495, 52339, 52711, 206237}},
+{15741, 18, 39124, {1, 3, 7, 9, 27, 57, 77, 147, 35, 845, 1417, 1615, 6097, 12559, 10765, 19027, 91693, 204339}},
+{15742, 18, 39133, {1, 1, 3, 5, 25, 47, 17, 145, 7, 969, 1981, 733, 4303, 7785, 4241, 39733, 82569, 78061}},
+{15743, 18, 39157, {1, 1, 5, 1, 5, 47, 45, 111, 405, 943, 1911, 1613, 3817, 10483, 17729, 7201, 88033, 261701}},
+{15744, 18, 39181, {1, 3, 3, 13, 9, 3, 87, 39, 277, 769, 57, 2503, 7803, 11041, 20945, 19623, 32617, 110027}},
+{15745, 18, 39187, {1, 1, 3, 3, 27, 57, 1, 103, 427, 935, 1617, 665, 837, 8001, 13543, 44771, 64033, 65239}},
+{15746, 18, 39212, {1, 1, 5, 3, 13, 21, 31, 59, 225, 945, 1825, 1511, 3273, 3171, 30347, 21993, 40203, 143297}},
+{15747, 18, 39223, {1, 3, 5, 7, 11, 3, 3, 217, 167, 885, 975, 3249, 7909, 13621, 18697, 61021, 31497, 198033}},
+{15748, 18, 39250, {1, 3, 5, 9, 11, 5, 87, 33, 117, 471, 267, 529, 5879, 13969, 5731, 52613, 106411, 74341}},
+{15749, 18, 39265, {1, 1, 7, 11, 5, 31, 25, 55, 135, 779, 717, 1953, 7929, 11011, 6133, 14099, 106975, 178337}},
+{15750, 18, 39320, {1, 3, 1, 1, 29, 17, 125, 7, 445, 299, 1897, 3235, 8189, 14339, 14725, 63185, 126751, 88747}},
+{15751, 18, 39330, {1, 1, 5, 3, 1, 11, 65, 161, 243, 605, 1945, 3141, 6443, 9703, 13331, 2239, 6315, 247595}},
+{15752, 18, 39335, {1, 3, 1, 7, 15, 23, 83, 215, 331, 631, 453, 879, 4109, 4897, 16535, 55749, 90799, 147287}},
+{15753, 18, 39353, {1, 3, 5, 13, 25, 1, 109, 205, 49, 471, 1735, 973, 1279, 9917, 18225, 44921, 98519, 211541}},
+{15754, 18, 39371, {1, 1, 5, 11, 29, 41, 113, 187, 75, 479, 1633, 841, 6259, 8919, 27751, 25179, 115369, 166567}},
+{15755, 18, 39385, {1, 3, 5, 11, 17, 31, 107, 41, 435, 647, 811, 2937, 5819, 3483, 3835, 57033, 53543, 61973}},
+{15756, 18, 39421, {1, 3, 3, 11, 15, 45, 33, 103, 505, 67, 463, 1275, 2449, 15261, 22867, 25215, 38793, 189309}},
+{15757, 18, 39432, {1, 1, 1, 5, 19, 45, 35, 173, 365, 39, 1599, 3623, 2231, 12141, 19437, 27053, 15869, 104719}},
+{15758, 18, 39443, {1, 3, 7, 7, 9, 17, 87, 151, 249, 81, 1109, 1951, 7475, 1699, 17847, 64149, 50285, 242793}},
+{15759, 18, 39450, {1, 3, 5, 13, 15, 51, 35, 105, 479, 763, 1945, 2349, 2987, 621, 283, 20411, 65799, 86517}},
+{15760, 18, 39455, {1, 3, 3, 1, 19, 31, 49, 229, 249, 689, 737, 4027, 5405, 15211, 26785, 39143, 93163, 190421}},
+{15761, 18, 39468, {1, 3, 7, 5, 1, 21, 63, 97, 347, 73, 745, 3455, 2347, 3821, 31385, 6545, 91803, 72895}},
+{15762, 18, 39473, {1, 1, 1, 15, 23, 11, 107, 47, 183, 235, 1985, 3277, 933, 8491, 14423, 24293, 6783, 162199}},
+{15763, 18, 39488, {1, 3, 3, 9, 17, 3, 123, 59, 277, 773, 1617, 2979, 1555, 9753, 10947, 24745, 89043, 45185}},
+{15764, 18, 39497, {1, 3, 7, 3, 25, 17, 79, 43, 311, 415, 1045, 1289, 7451, 11413, 11319, 37177, 101327, 147453}},
+{15765, 18, 39521, {1, 3, 7, 7, 17, 45, 49, 33, 313, 613, 1773, 773, 161, 13579, 1207, 5681, 120597, 178639}},
+{15766, 18, 39531, {1, 3, 5, 5, 17, 43, 65, 243, 287, 223, 253, 687, 887, 14887, 1077, 53337, 62381, 43531}},
+{15767, 18, 39542, {1, 3, 5, 1, 21, 3, 39, 149, 497, 939, 1537, 437, 5345, 10321, 25151, 48785, 49879, 90945}},
+{15768, 18, 39585, {1, 1, 7, 11, 1, 61, 113, 63, 285, 615, 343, 2897, 1939, 7911, 16387, 10781, 92769, 27995}},
+{15769, 18, 39605, {1, 1, 3, 3, 19, 29, 85, 227, 355, 857, 883, 1853, 5065, 13795, 5749, 59107, 57947, 35775}},
+{15770, 18, 39658, {1, 3, 5, 9, 23, 37, 119, 161, 23, 511, 81, 973, 4769, 10821, 32607, 61731, 64907, 99055}},
+{15771, 18, 39677, {1, 3, 1, 3, 11, 17, 109, 241, 349, 887, 1651, 3865, 2045, 15893, 4597, 11557, 53313, 48489}},
+{15772, 18, 39703, {1, 1, 5, 9, 31, 43, 49, 193, 171, 477, 363, 735, 1379, 8977, 9759, 56477, 99495, 170433}},
+{15773, 18, 39726, {1, 1, 3, 7, 25, 25, 77, 31, 21, 1001, 1527, 1725, 6479, 8927, 11249, 63969, 86291, 74391}},
+{15774, 18, 39731, {1, 3, 5, 13, 1, 43, 27, 7, 507, 569, 251, 2199, 3895, 7845, 13641, 1655, 112949, 119493}},
+{15775, 18, 39745, {1, 3, 7, 15, 7, 1, 123, 27, 121, 261, 201, 1469, 4229, 2933, 25157, 1919, 127937, 21607}},
+{15776, 18, 39776, {1, 1, 3, 9, 29, 59, 47, 81, 293, 191, 401, 849, 4355, 1643, 23533, 8469, 389, 97891}},
+{15777, 18, 39796, {1, 3, 5, 5, 9, 55, 37, 175, 203, 179, 901, 3473, 1489, 1009, 24623, 54895, 8711, 190271}},
+{15778, 18, 39809, {1, 1, 7, 1, 13, 39, 49, 105, 385, 189, 1079, 2799, 5901, 2511, 23199, 58925, 111727, 131193}},
+{15779, 18, 39833, {1, 1, 1, 7, 31, 63, 37, 181, 493, 745, 1131, 223, 8055, 9507, 26667, 22163, 26495, 200945}},
+{15780, 18, 39850, {1, 3, 7, 1, 25, 15, 127, 71, 445, 935, 1439, 1167, 3751, 799, 27253, 46209, 33413, 38553}},
+{15781, 18, 39869, {1, 3, 3, 11, 29, 35, 125, 77, 129, 851, 731, 3259, 4651, 4137, 20921, 19779, 119261, 141507}},
+{15782, 18, 39882, {1, 3, 1, 9, 11, 13, 31, 211, 87, 377, 547, 113, 1071, 7167, 28377, 52943, 50669, 156915}},
+{15783, 18, 39906, {1, 1, 3, 7, 29, 55, 89, 215, 425, 513, 175, 1145, 6995, 1929, 14253, 20563, 118543, 104403}},
+{15784, 18, 39918, {1, 1, 1, 5, 23, 25, 1, 23, 175, 571, 1597, 3801, 1411, 1783, 13045, 37499, 86831, 139101}},
+{15785, 18, 39929, {1, 3, 3, 13, 15, 19, 35, 139, 483, 17, 1555, 3431, 3417, 13695, 15985, 65243, 96659, 76027}},
+{15786, 18, 39947, {1, 3, 7, 9, 23, 7, 17, 89, 33, 353, 1999, 2561, 331, 15661, 25757, 63389, 112913, 131757}},
+{15787, 18, 39985, {1, 3, 1, 11, 27, 59, 37, 75, 121, 429, 1833, 3243, 2029, 2601, 5013, 29433, 123565, 234803}},
+{15788, 18, 39986, {1, 3, 1, 7, 31, 13, 33, 25, 459, 803, 267, 1573, 5579, 4575, 8125, 7491, 72681, 239409}},
+{15789, 18, 40023, {1, 1, 3, 7, 31, 43, 93, 191, 237, 75, 1809, 3257, 4131, 1983, 29153, 23205, 38393, 197859}},
+{15790, 18, 40024, {1, 3, 5, 5, 17, 47, 17, 153, 499, 529, 1515, 1587, 2951, 12431, 12787, 13245, 54117, 82663}},
+{15791, 18, 40039, {1, 1, 1, 13, 7, 23, 23, 7, 441, 991, 641, 2713, 151, 1863, 6065, 47381, 60493, 136325}},
+{15792, 18, 40053, {1, 3, 3, 11, 11, 15, 31, 137, 285, 439, 835, 3033, 6083, 7883, 3405, 35803, 65059, 150143}},
+{15793, 18, 40079, {1, 1, 7, 3, 19, 47, 61, 163, 313, 813, 1315, 2995, 2805, 14397, 6589, 62123, 46229, 206697}},
+{15794, 18, 40084, {1, 3, 5, 5, 27, 51, 25, 99, 241, 571, 1411, 1191, 7095, 8639, 29195, 53733, 53219, 42851}},
+{15795, 18, 40087, {1, 3, 1, 5, 11, 29, 1, 49, 61, 149, 1931, 29, 7163, 3717, 525, 42375, 71451, 8345}},
+{15796, 18, 40094, {1, 3, 3, 3, 13, 19, 97, 249, 265, 509, 1347, 3081, 6535, 7941, 31565, 59897, 91909, 171789}},
+{15797, 18, 40100, {1, 3, 3, 1, 25, 17, 75, 169, 251, 607, 73, 549, 1397, 10661, 1743, 9615, 41327, 243207}},
+{15798, 18, 40112, {1, 3, 1, 11, 7, 7, 15, 181, 385, 883, 651, 2939, 5457, 15309, 9807, 22221, 72893, 146331}},
+{15799, 18, 40129, {1, 3, 3, 5, 7, 7, 53, 75, 139, 459, 1861, 917, 4101, 10379, 18555, 12633, 70023, 254761}},
+{15800, 18, 40132, {1, 3, 3, 1, 17, 51, 5, 109, 471, 3, 1555, 3731, 6711, 9791, 63, 61931, 75269, 138697}},
+{15801, 18, 40142, {1, 1, 7, 15, 11, 1, 53, 141, 423, 567, 1937, 849, 5657, 7437, 32657, 16253, 115219, 106027}},
+{15802, 18, 40154, {1, 3, 5, 1, 17, 29, 65, 213, 443, 541, 697, 3859, 1463, 16081, 23299, 7645, 19475, 77857}},
+{15803, 18, 40177, {1, 1, 7, 3, 21, 43, 99, 101, 329, 755, 1123, 1277, 1381, 7017, 21763, 28243, 109995, 178377}},
+{15804, 18, 40178, {1, 3, 5, 7, 9, 31, 103, 123, 43, 895, 1925, 3383, 3539, 13669, 873, 57361, 45281, 256517}},
+{15805, 18, 40202, {1, 1, 1, 13, 1, 37, 115, 55, 415, 703, 1217, 939, 1145, 4015, 7233, 44799, 79711, 164725}},
+{15806, 18, 40219, {1, 1, 7, 1, 29, 17, 101, 15, 205, 281, 1059, 301, 753, 11953, 10533, 31881, 67741, 12683}},
+{15807, 18, 40303, {1, 1, 7, 13, 9, 23, 31, 237, 181, 813, 1765, 2237, 4897, 9955, 2139, 13113, 123423, 227629}},
+{15808, 18, 40305, {1, 1, 7, 15, 27, 57, 37, 75, 405, 185, 1671, 2245, 7151, 10531, 13161, 15695, 107547, 47689}},
+{15809, 18, 40311, {1, 1, 5, 15, 17, 53, 75, 251, 277, 1001, 179, 589, 1401, 4937, 11601, 47113, 36677, 39263}},
+{15810, 18, 40336, {1, 3, 5, 15, 23, 47, 53, 81, 115, 547, 1363, 2457, 4407, 10861, 25649, 64013, 44747, 97949}},
+{15811, 18, 40342, {1, 1, 3, 1, 25, 29, 121, 43, 205, 591, 211, 1899, 5835, 739, 19627, 60387, 127369, 11255}},
+{15812, 18, 40358, {1, 1, 3, 15, 31, 11, 93, 227, 501, 731, 1355, 3963, 347, 83, 12595, 56431, 80049, 42103}},
+{15813, 18, 40381, {1, 3, 1, 11, 13, 17, 51, 165, 311, 67, 1873, 1493, 3815, 13209, 11637, 5809, 94219, 118077}},
+{15814, 18, 40417, {1, 1, 7, 15, 19, 17, 13, 73, 365, 413, 1215, 2265, 2173, 8725, 4725, 1373, 76733, 95379}},
+{15815, 18, 40438, {1, 3, 1, 7, 7, 61, 13, 145, 205, 113, 1579, 3851, 7515, 10659, 28665, 5277, 65925, 10141}},
+{15816, 18, 40463, {1, 3, 7, 1, 9, 63, 11, 83, 197, 797, 1065, 1521, 1751, 7423, 7473, 4371, 29533, 225167}},
+{15817, 18, 40471, {1, 3, 7, 7, 3, 63, 71, 177, 53, 279, 1837, 2609, 7819, 7285, 11059, 65247, 102869, 24429}},
+{15818, 18, 40472, {1, 3, 3, 13, 9, 21, 123, 125, 367, 85, 85, 1009, 1009, 7779, 3375, 30999, 5035, 215107}},
+{15819, 18, 40488, {1, 3, 3, 9, 31, 53, 5, 43, 483, 483, 1359, 2605, 377, 4243, 13291, 50211, 118603, 259865}},
+{15820, 18, 40491, {1, 1, 1, 5, 19, 37, 109, 139, 373, 79, 1951, 3379, 5679, 6445, 29127, 56229, 97369, 232561}},
+{15821, 18, 40525, {1, 1, 3, 5, 19, 37, 61, 225, 321, 573, 1831, 971, 6507, 10005, 6837, 16433, 70913, 170873}},
+{15822, 18, 40526, {1, 1, 5, 11, 31, 17, 21, 29, 329, 679, 869, 389, 5121, 1819, 3539, 43793, 31617, 204983}},
+{15823, 18, 40550, {1, 1, 7, 7, 21, 11, 83, 97, 297, 275, 1559, 1899, 4957, 11463, 25647, 21095, 70121, 113395}},
+{15824, 18, 40553, {1, 3, 5, 11, 19, 57, 39, 37, 441, 715, 383, 4083, 1937, 12263, 6989, 36159, 118135, 238475}},
+{15825, 18, 40562, {1, 1, 1, 3, 9, 53, 85, 201, 357, 807, 865, 1621, 1993, 7623, 3165, 1005, 93343, 227765}},
+{15826, 18, 40568, {1, 1, 7, 7, 21, 29, 123, 175, 319, 621, 303, 117, 5589, 12511, 26053, 41603, 78439, 71819}},
+{15827, 18, 40580, {1, 1, 7, 15, 31, 47, 75, 225, 295, 67, 1349, 1749, 1363, 8763, 9153, 4059, 72015, 3155}},
+{15828, 18, 40608, {1, 3, 5, 13, 19, 23, 79, 25, 319, 475, 1517, 2757, 4009, 12663, 535, 51617, 55695, 64399}},
+{15829, 18, 40613, {1, 3, 7, 13, 19, 39, 61, 235, 369, 951, 111, 2169, 353, 15371, 8611, 42477, 130981, 97419}},
+{15830, 18, 40652, {1, 1, 3, 13, 27, 31, 115, 201, 3, 291, 793, 237, 3593, 2307, 12745, 54603, 96451, 80853}},
+{15831, 18, 40703, {1, 3, 3, 11, 11, 35, 43, 1, 35, 415, 1307, 2303, 5407, 6883, 29023, 31271, 119721, 90599}},
+{15832, 18, 40712, {1, 1, 5, 9, 21, 23, 3, 1, 333, 463, 1277, 1165, 6521, 4887, 16029, 32537, 43681, 21633}},
+{15833, 18, 40720, {1, 1, 1, 13, 1, 35, 45, 57, 293, 435, 1113, 2477, 6641, 14083, 28489, 26189, 44695, 220481}},
+{15834, 18, 40723, {1, 3, 5, 5, 5, 31, 75, 149, 309, 921, 941, 1063, 7041, 12651, 29533, 46955, 88133, 89989}},
+{15835, 18, 40746, {1, 1, 3, 5, 15, 23, 127, 143, 193, 739, 281, 991, 3731, 16243, 25483, 24979, 102317, 186657}},
+{15836, 18, 40759, {1, 1, 3, 13, 3, 63, 23, 69, 181, 163, 1733, 893, 5513, 1525, 31483, 15033, 108021, 167875}},
+{15837, 18, 40765, {1, 1, 5, 15, 15, 51, 79, 59, 55, 243, 565, 159, 7925, 8393, 20059, 35011, 53779, 166241}},
+{15838, 18, 40771, {1, 1, 3, 5, 11, 57, 85, 175, 495, 999, 1577, 2377, 715, 2473, 16979, 5949, 87691, 195607}},
+{15839, 18, 40778, {1, 1, 1, 13, 17, 21, 53, 73, 187, 63, 335, 3251, 4439, 5701, 13469, 23567, 70125, 68931}},
+{15840, 18, 40788, {1, 1, 1, 13, 23, 11, 55, 75, 37, 845, 745, 2193, 7113, 5657, 29449, 41153, 115547, 87261}},
+{15841, 18, 40804, {1, 3, 3, 9, 21, 39, 47, 145, 301, 883, 625, 2479, 1089, 3393, 23265, 49577, 81027, 186485}},
+{15842, 18, 40835, {1, 1, 3, 7, 3, 11, 37, 117, 79, 905, 493, 265, 1819, 12179, 12361, 27457, 14459, 231837}},
+{15843, 18, 40841, {1, 3, 5, 11, 19, 45, 99, 5, 455, 497, 1851, 2349, 5213, 3671, 5871, 43187, 59011, 211167}},
+{15844, 18, 40907, {1, 3, 7, 5, 23, 61, 63, 97, 413, 575, 1073, 2587, 573, 1805, 32307, 58463, 84927, 15065}},
+{15845, 18, 40934, {1, 3, 1, 13, 23, 9, 39, 1, 53, 383, 1277, 3599, 7719, 16175, 4443, 53143, 24345, 111899}},
+{15846, 18, 40955, {1, 1, 7, 1, 19, 37, 103, 245, 253, 5, 1367, 3127, 4689, 5089, 30697, 45513, 111291, 26599}},
+{15847, 18, 40986, {1, 3, 3, 7, 31, 31, 107, 163, 1, 855, 163, 875, 7481, 5325, 30107, 19377, 3167, 5613}},
+{15848, 18, 41007, {1, 1, 5, 13, 21, 17, 115, 203, 233, 333, 441, 3185, 3197, 3397, 8515, 61879, 11163, 233277}},
+{15849, 18, 41016, {1, 3, 5, 3, 17, 53, 93, 233, 465, 573, 1075, 1905, 1141, 4965, 13469, 24901, 23653, 225233}},
+{15850, 18, 41034, {1, 3, 7, 11, 11, 1, 95, 47, 85, 65, 9, 2413, 7347, 2127, 305, 4673, 79281, 188081}},
+{15851, 18, 41041, {1, 1, 7, 5, 9, 5, 27, 23, 393, 201, 467, 3677, 2641, 4671, 24627, 18927, 45137, 74167}},
+{15852, 18, 41063, {1, 3, 5, 11, 11, 9, 19, 247, 423, 693, 1885, 1129, 7459, 8411, 2573, 54111, 98919, 160075}},
+{15853, 18, 41084, {1, 3, 3, 3, 1, 3, 67, 131, 317, 915, 151, 3609, 4083, 6395, 12877, 44017, 28877, 244165}},
+{15854, 18, 41093, {1, 3, 1, 3, 1, 33, 29, 23, 19, 323, 873, 115, 2439, 4699, 5449, 51637, 68889, 105197}},
+{15855, 18, 41097, {1, 1, 7, 1, 19, 55, 37, 241, 53, 695, 729, 1565, 19, 12875, 26993, 18511, 35615, 169281}},
+{15856, 18, 41111, {1, 3, 3, 1, 1, 7, 121, 49, 345, 883, 1001, 657, 2647, 15387, 30633, 18107, 13745, 217735}},
+{15857, 18, 41118, {1, 3, 5, 15, 11, 45, 73, 77, 307, 373, 1723, 335, 473, 5735, 11747, 39257, 87199, 47663}},
+{15858, 18, 41121, {1, 1, 7, 7, 27, 21, 121, 169, 427, 605, 1593, 3147, 1001, 3773, 31505, 22823, 21543, 82931}},
+{15859, 18, 41141, {1, 1, 1, 9, 11, 59, 91, 165, 249, 859, 483, 3133, 5729, 12675, 7761, 6475, 116823, 224187}},
+{15860, 18, 41160, {1, 1, 3, 3, 27, 31, 51, 1, 429, 517, 1439, 3959, 2343, 6709, 5287, 24039, 52409, 20749}},
+{15861, 18, 41207, {1, 3, 7, 7, 11, 31, 83, 111, 391, 729, 721, 1675, 5679, 14637, 22065, 49903, 113759, 40881}},
+{15862, 18, 41214, {1, 3, 7, 1, 25, 15, 91, 59, 87, 313, 155, 1439, 2419, 2099, 22709, 10289, 40655, 17351}},
+{15863, 18, 41255, {1, 3, 5, 1, 15, 5, 11, 21, 261, 227, 1563, 1177, 4731, 3487, 1607, 46599, 105599, 193425}},
+{15864, 18, 41284, {1, 1, 5, 5, 5, 45, 77, 181, 431, 27, 1985, 881, 2555, 7589, 16199, 31041, 66683, 52499}},
+{15865, 18, 41287, {1, 1, 1, 15, 5, 29, 111, 209, 335, 747, 93, 3551, 5951, 14995, 18451, 33329, 9117, 167455}},
+{15866, 18, 41308, {1, 3, 1, 7, 25, 9, 113, 123, 387, 87, 267, 2251, 3509, 10829, 32733, 48025, 58267, 143553}},
+{15867, 18, 41330, {1, 3, 5, 15, 17, 17, 65, 107, 175, 427, 733, 797, 3837, 12773, 27865, 29481, 4557, 196163}},
+{15868, 18, 41336, {1, 3, 1, 3, 1, 53, 93, 175, 509, 351, 1093, 1039, 6931, 2691, 14957, 44395, 84383, 58915}},
+{15869, 18, 41437, {1, 1, 1, 11, 1, 43, 61, 123, 377, 813, 1335, 1597, 147, 13663, 30781, 47635, 24111, 64307}},
+{15870, 18, 41444, {1, 1, 3, 11, 25, 27, 15, 215, 125, 679, 1491, 3203, 5403, 4531, 11839, 44227, 49239, 110439}},
+{15871, 18, 41456, {1, 1, 3, 13, 9, 35, 71, 127, 127, 629, 1363, 585, 6713, 10637, 6803, 20963, 47157, 157781}},
+{15872, 18, 41481, {1, 1, 3, 11, 13, 21, 117, 241, 365, 175, 1397, 1279, 4117, 5427, 24007, 50711, 465, 225003}},
+{15873, 18, 41489, {1, 1, 1, 9, 13, 63, 49, 189, 113, 61, 353, 2221, 7541, 4075, 5283, 5505, 51035, 35191}},
+{15874, 18, 41499, {1, 1, 7, 9, 11, 37, 123, 63, 331, 691, 1299, 1661, 3769, 7827, 32127, 32149, 7271, 150363}},
+{15875, 18, 41555, {1, 1, 1, 5, 25, 5, 127, 195, 413, 657, 479, 879, 6743, 8959, 791, 22425, 77119, 180721}},
+{15876, 18, 41561, {1, 1, 7, 3, 13, 57, 123, 125, 135, 69, 455, 3363, 1783, 1557, 20401, 26707, 130345, 195881}},
+{15877, 18, 41562, {1, 3, 3, 7, 27, 19, 125, 71, 201, 1017, 1285, 3955, 5255, 14375, 18163, 28537, 76157, 247193}},
+{15878, 18, 41571, {1, 1, 3, 1, 27, 33, 123, 137, 189, 655, 1891, 2419, 5195, 97, 32565, 38581, 62715, 164697}},
+{15879, 18, 41592, {1, 1, 1, 15, 9, 47, 23, 147, 197, 503, 1803, 2953, 2961, 13787, 10545, 35465, 53997, 198655}},
+{15880, 18, 41631, {1, 3, 1, 9, 9, 43, 65, 237, 119, 621, 1517, 3479, 4165, 12797, 14731, 53131, 105501, 112845}},
+{15881, 18, 41661, {1, 3, 3, 15, 3, 23, 47, 163, 469, 363, 1813, 3107, 6167, 8987, 26829, 33099, 6821, 203017}},
+{15882, 18, 41682, {1, 1, 1, 9, 1, 11, 85, 11, 251, 907, 395, 3935, 3403, 229, 16825, 48337, 103647, 91425}},
+{15883, 18, 41710, {1, 3, 1, 5, 17, 57, 21, 181, 31, 27, 235, 4041, 4927, 8319, 29765, 61603, 19081, 75879}},
+{15884, 18, 41724, {1, 1, 5, 15, 11, 3, 7, 225, 247, 221, 251, 1979, 1151, 10829, 26491, 39705, 41587, 99063}},
+{15885, 18, 41727, {1, 3, 5, 5, 19, 23, 57, 127, 467, 409, 43, 829, 3883, 10767, 24351, 31365, 115943, 209231}},
+{15886, 18, 41730, {1, 1, 7, 15, 3, 51, 17, 251, 219, 33, 1511, 2027, 4995, 12277, 7639, 59895, 85267, 87735}},
+{15887, 18, 41744, {1, 3, 7, 3, 7, 29, 93, 57, 427, 235, 1591, 3475, 1159, 2387, 851, 43307, 87081, 151543}},
+{15888, 18, 41769, {1, 3, 7, 7, 1, 9, 21, 167, 73, 439, 2035, 2091, 4563, 4819, 5591, 57123, 78739, 63235}},
+{15889, 18, 41795, {1, 1, 3, 13, 19, 35, 63, 17, 425, 277, 1669, 931, 597, 5621, 22367, 1155, 109099, 169965}},
+{15890, 18, 41798, {1, 3, 7, 5, 11, 11, 41, 71, 35, 183, 555, 2631, 5199, 16381, 16319, 1851, 121551, 141711}},
+{15891, 18, 41804, {1, 3, 5, 5, 21, 17, 3, 95, 47, 1011, 1757, 3295, 1111, 16043, 6377, 16257, 37941, 206637}},
+{15892, 18, 41826, {1, 3, 1, 5, 25, 19, 19, 69, 395, 589, 1311, 1075, 5763, 12475, 3633, 40647, 54487, 97459}},
+{15893, 18, 41852, {1, 3, 5, 7, 13, 23, 83, 91, 419, 415, 685, 1685, 2893, 12953, 30641, 43565, 11851, 187837}},
+{15894, 18, 41868, {1, 1, 5, 11, 27, 1, 61, 155, 279, 737, 215, 2909, 969, 57, 17979, 34537, 41861, 243717}},
+{15895, 18, 41910, {1, 1, 5, 1, 17, 61, 57, 199, 127, 569, 1109, 3057, 7301, 16097, 17579, 25753, 82653, 237273}},
+{15896, 18, 41914, {1, 1, 7, 15, 17, 45, 19, 53, 153, 785, 51, 291, 5261, 1317, 21163, 44393, 108131, 254373}},
+{15897, 18, 41942, {1, 1, 3, 11, 5, 19, 61, 125, 127, 961, 2019, 1725, 855, 677, 20853, 38845, 3239, 95697}},
+{15898, 18, 41969, {1, 1, 3, 15, 3, 3, 117, 17, 61, 201, 241, 1759, 4465, 3985, 6985, 47703, 58657, 52633}},
+{15899, 18, 41975, {1, 3, 3, 11, 31, 39, 107, 171, 19, 825, 1309, 807, 7787, 10761, 20215, 9287, 21553, 179599}},
+{15900, 18, 41976, {1, 3, 7, 9, 5, 7, 121, 15, 3, 199, 97, 3177, 5461, 15713, 27609, 54349, 24963, 186279}},
+{15901, 18, 41994, {1, 3, 1, 15, 11, 9, 123, 187, 363, 5, 837, 451, 1601, 6597, 10857, 46893, 83729, 20409}},
+{15902, 18, 42002, {1, 3, 1, 9, 1, 53, 71, 191, 217, 165, 1709, 1827, 1977, 10073, 11373, 35311, 26637, 134519}},
+{15903, 18, 42037, {1, 3, 5, 11, 31, 55, 101, 189, 277, 347, 629, 223, 785, 5739, 25505, 55601, 55017, 212837}},
+{15904, 18, 42056, {1, 1, 5, 11, 3, 13, 45, 235, 65, 459, 621, 587, 7105, 6181, 13193, 5683, 42935, 198585}},
+{15905, 18, 42079, {1, 1, 3, 1, 3, 17, 27, 109, 261, 979, 903, 1499, 4799, 11759, 10591, 65429, 74587, 16629}},
+{15906, 18, 42085, {1, 1, 5, 1, 13, 63, 29, 11, 441, 151, 611, 4073, 3933, 6793, 28845, 39223, 120823, 49397}},
+{15907, 18, 42089, {1, 3, 3, 5, 21, 13, 23, 53, 357, 197, 1327, 1773, 2961, 11509, 16585, 10201, 28451, 45109}},
+{15908, 18, 42123, {1, 3, 5, 7, 19, 17, 97, 63, 295, 111, 85, 2981, 6719, 9193, 15197, 12117, 2553, 59909}},
+{15909, 18, 42128, {1, 1, 5, 5, 15, 3, 9, 85, 333, 379, 1409, 1445, 4173, 3953, 833, 48089, 120249, 122703}},
+{15910, 18, 42140, {1, 3, 7, 7, 29, 13, 57, 19, 141, 979, 1991, 4011, 8125, 3915, 15753, 1371, 113771, 117273}},
+{15911, 18, 42149, {1, 3, 3, 13, 21, 53, 115, 187, 279, 29, 1355, 1843, 253, 3531, 8193, 54731, 6213, 123467}},
+{15912, 18, 42156, {1, 3, 3, 1, 25, 29, 109, 19, 37, 385, 901, 3737, 6247, 9941, 13185, 2895, 88819, 53029}},
+{15913, 18, 42186, {1, 1, 1, 1, 3, 31, 89, 157, 483, 657, 1833, 2975, 3187, 631, 28685, 7277, 4915, 115955}},
+{15914, 18, 42191, {1, 3, 3, 1, 25, 41, 13, 99, 385, 303, 297, 419, 7919, 12411, 757, 9227, 47867, 120175}},
+{15915, 18, 42205, {1, 3, 5, 11, 23, 15, 21, 157, 177, 301, 789, 2791, 5769, 7809, 2369, 26123, 116465, 22595}},
+{15916, 18, 42221, {1, 1, 5, 9, 17, 63, 45, 239, 465, 811, 1157, 1443, 8137, 12587, 26209, 62057, 59299, 167171}},
+{15917, 18, 42222, {1, 3, 3, 7, 3, 45, 41, 17, 341, 461, 571, 541, 989, 4069, 17531, 46729, 107915, 47871}},
+{15918, 18, 42230, {1, 1, 7, 1, 1, 23, 45, 213, 125, 799, 5, 3443, 2535, 12983, 2133, 63411, 93027, 89831}},
+{15919, 18, 42233, {1, 1, 1, 15, 7, 31, 49, 181, 213, 923, 281, 2059, 861, 6951, 25659, 32209, 66423, 225885}},
+{15920, 18, 42241, {1, 3, 3, 7, 9, 39, 107, 197, 383, 179, 27, 1395, 6397, 16139, 32049, 33567, 43977, 203939}},
+{15921, 18, 42247, {1, 1, 3, 5, 13, 37, 13, 31, 339, 527, 641, 181, 1413, 8145, 341, 57605, 108031, 109311}},
+{15922, 18, 42248, {1, 1, 1, 1, 21, 35, 87, 15, 279, 967, 1003, 813, 5075, 10595, 5609, 33901, 86443, 150007}},
+{15923, 18, 42254, {1, 3, 1, 5, 27, 9, 75, 199, 377, 889, 545, 1987, 6277, 361, 12563, 35699, 27105, 187995}},
+{15924, 18, 42259, {1, 3, 7, 1, 11, 3, 41, 215, 273, 61, 821, 1207, 2809, 8731, 26409, 50323, 22355, 16521}},
+{15925, 18, 42268, {1, 1, 7, 5, 29, 13, 99, 133, 15, 673, 215, 445, 4051, 2187, 9395, 62491, 58685, 224707}},
+{15926, 18, 42295, {1, 3, 3, 13, 21, 59, 17, 1, 271, 613, 939, 1881, 2379, 16325, 3275, 63707, 59961, 106937}},
+{15927, 18, 42304, {1, 3, 3, 1, 23, 53, 51, 181, 391, 375, 767, 239, 373, 4593, 25211, 37173, 70409, 252345}},
+{15928, 18, 42322, {1, 3, 3, 11, 15, 17, 37, 145, 41, 107, 151, 1351, 3457, 14727, 755, 36321, 99397, 73359}},
+{15929, 18, 42334, {1, 3, 5, 7, 25, 31, 39, 185, 341, 721, 1799, 1803, 5985, 10587, 11605, 9937, 23905, 56485}},
+{15930, 18, 42355, {1, 3, 1, 3, 19, 35, 25, 71, 109, 209, 1675, 4043, 2053, 6285, 25317, 50171, 68293, 124385}},
+{15931, 18, 42361, {1, 1, 1, 1, 21, 11, 63, 137, 361, 157, 1985, 2161, 7239, 1795, 10459, 38511, 36817, 253347}},
+{15932, 18, 42373, {1, 1, 1, 5, 31, 3, 13, 83, 185, 175, 567, 295, 459, 11453, 3765, 9841, 30333, 201377}},
+{15933, 18, 42374, {1, 1, 3, 13, 5, 57, 99, 125, 371, 903, 2001, 285, 2005, 8475, 31617, 58265, 641, 115507}},
+{15934, 18, 42398, {1, 3, 5, 9, 11, 17, 123, 67, 77, 803, 815, 3173, 4795, 11917, 1187, 32389, 102289, 248359}},
+{15935, 18, 42411, {1, 1, 5, 5, 27, 19, 59, 145, 361, 821, 33, 1465, 7643, 11101, 145, 21705, 55105, 181245}},
+{15936, 18, 42443, {1, 3, 7, 5, 15, 55, 127, 133, 157, 989, 1211, 3573, 4021, 2967, 2941, 38657, 97681, 114505}},
+{15937, 18, 42446, {1, 1, 7, 7, 23, 17, 39, 209, 117, 195, 931, 5, 7509, 9187, 6011, 10297, 13727, 258007}},
+{15938, 18, 42463, {1, 3, 1, 13, 3, 17, 105, 69, 9, 163, 1615, 241, 5207, 13173, 28521, 51417, 130645, 106787}},
+{15939, 18, 42479, {1, 1, 7, 13, 15, 3, 5, 187, 5, 239, 1799, 3083, 7801, 12781, 24817, 59341, 73867, 175273}},
+{15940, 18, 42482, {1, 1, 3, 11, 11, 1, 89, 17, 497, 217, 1565, 2933, 6449, 7687, 6561, 57903, 92751, 261371}},
+{15941, 18, 42484, {1, 1, 1, 1, 15, 39, 47, 249, 39, 765, 249, 2785, 4401, 16033, 11463, 127, 120109, 83133}},
+{15942, 18, 42498, {1, 1, 3, 3, 19, 59, 47, 153, 505, 1009, 413, 1177, 5999, 6841, 12013, 40295, 115641, 189241}},
+{15943, 18, 42534, {1, 3, 3, 11, 17, 51, 45, 101, 459, 971, 1133, 3467, 4945, 12445, 1267, 41783, 66825, 130167}},
+{15944, 18, 42537, {1, 3, 1, 7, 17, 45, 77, 211, 387, 23, 1903, 2309, 2681, 6897, 6959, 30981, 113537, 207415}},
+{15945, 18, 42557, {1, 1, 3, 1, 19, 9, 103, 89, 461, 881, 71, 2019, 6475, 13563, 18835, 2375, 34807, 1373}},
+{15946, 18, 42570, {1, 1, 7, 11, 3, 31, 125, 121, 43, 737, 1995, 3043, 811, 8883, 8169, 22131, 29295, 194963}},
+{15947, 18, 42599, {1, 3, 7, 11, 7, 45, 125, 149, 427, 187, 1361, 2405, 2815, 8877, 15255, 36867, 95517, 261969}},
+{15948, 18, 42600, {1, 1, 7, 11, 9, 29, 89, 175, 467, 997, 937, 3869, 7843, 12629, 8701, 60717, 30443, 193427}},
+{15949, 18, 42633, {1, 1, 5, 7, 3, 3, 57, 199, 315, 477, 189, 2029, 2059, 3473, 27411, 30419, 26465, 187807}},
+{15950, 18, 42639, {1, 3, 1, 15, 3, 3, 11, 55, 233, 603, 1749, 1737, 5709, 4559, 13427, 39137, 44885, 61611}},
+{15951, 18, 42672, {1, 1, 7, 1, 25, 15, 61, 199, 107, 737, 909, 3229, 1799, 5129, 27655, 45937, 919, 36161}},
+{15952, 18, 42681, {1, 1, 3, 5, 31, 27, 99, 247, 425, 689, 1335, 1661, 625, 15817, 22601, 33293, 113927, 261931}},
+{15953, 18, 42687, {1, 1, 1, 9, 5, 57, 117, 121, 465, 859, 335, 879, 665, 12787, 21313, 46387, 16437, 53769}},
+{15954, 18, 42704, {1, 1, 3, 1, 11, 11, 75, 145, 307, 621, 833, 235, 3907, 11331, 6633, 51905, 72581, 129613}},
+{15955, 18, 42713, {1, 1, 3, 13, 17, 13, 81, 125, 377, 499, 1597, 3437, 4323, 789, 23825, 46609, 105997, 159709}},
+{15956, 18, 42714, {1, 3, 3, 9, 5, 29, 113, 51, 23, 957, 1981, 3205, 2549, 9771, 2555, 44289, 103893, 170241}},
+{15957, 18, 42716, {1, 1, 5, 15, 13, 17, 101, 67, 71, 7, 185, 3775, 5399, 5213, 13095, 26045, 59467, 95547}},
+{15958, 18, 42726, {1, 1, 5, 5, 31, 11, 77, 169, 3, 1007, 1853, 2245, 509, 13489, 2807, 55227, 67541, 242835}},
+{15959, 18, 42730, {1, 3, 7, 15, 11, 63, 39, 97, 1, 219, 1827, 2343, 6009, 4909, 4327, 21853, 46079, 87719}},
+{15960, 18, 42737, {1, 3, 1, 9, 17, 51, 119, 93, 179, 607, 1051, 2381, 619, 11215, 10839, 44771, 20555, 12721}},
+{15961, 18, 42752, {1, 3, 3, 5, 21, 47, 35, 133, 61, 937, 1561, 1655, 6527, 5085, 4141, 60811, 59971, 6309}},
+{15962, 18, 42757, {1, 3, 1, 7, 5, 63, 7, 235, 489, 675, 945, 943, 7107, 6005, 32695, 27655, 113219, 132963}},
+{15963, 18, 42772, {1, 1, 1, 7, 7, 5, 81, 237, 365, 1, 811, 3075, 1771, 5223, 7337, 24601, 68383, 156975}},
+{15964, 18, 42809, {1, 3, 1, 15, 5, 35, 39, 91, 301, 387, 805, 3537, 737, 7453, 4655, 16349, 108261, 123697}},
+{15965, 18, 42853, {1, 3, 5, 3, 9, 59, 95, 187, 155, 183, 589, 2107, 967, 1095, 4875, 46131, 100699, 212797}},
+{15966, 18, 42857, {1, 3, 1, 7, 27, 29, 77, 133, 397, 445, 933, 1483, 5027, 12569, 22163, 58989, 16657, 195347}},
+{15967, 18, 42902, {1, 3, 5, 15, 21, 51, 97, 135, 165, 311, 525, 171, 4785, 7947, 14649, 40837, 58875, 222303}},
+{15968, 18, 42912, {1, 3, 3, 5, 23, 47, 41, 23, 321, 709, 1555, 1139, 3775, 11617, 13001, 18235, 51803, 197863}},
+{15969, 18, 42930, {1, 3, 5, 3, 3, 41, 91, 157, 29, 1005, 945, 3471, 2563, 8493, 24961, 44759, 103079, 50841}},
+{15970, 18, 42936, {1, 1, 5, 11, 23, 19, 91, 115, 165, 291, 1653, 1061, 1067, 6171, 18441, 26067, 3569, 117329}},
+{15971, 18, 42956, {1, 3, 7, 15, 17, 19, 89, 23, 103, 389, 623, 1071, 203, 9545, 21259, 36155, 55395, 141741}},
+{15972, 18, 42959, {1, 3, 5, 11, 27, 43, 31, 193, 55, 489, 353, 1615, 7461, 13977, 31901, 64051, 82667, 258825}},
+{15973, 18, 42978, {1, 1, 3, 7, 5, 39, 7, 245, 241, 843, 1545, 3499, 8117, 15057, 14153, 2665, 107401, 66059}},
+{15974, 18, 43001, {1, 3, 5, 11, 9, 11, 41, 171, 255, 153, 1973, 759, 51, 15601, 327, 25889, 110861, 20555}},
+{15975, 18, 43011, {1, 3, 5, 7, 5, 15, 41, 77, 87, 143, 1141, 3975, 2675, 7131, 5549, 52397, 42073, 27585}},
+{15976, 18, 43047, {1, 1, 3, 7, 29, 5, 79, 243, 359, 817, 1053, 3509, 3347, 6207, 5147, 31063, 116851, 132627}},
+{15977, 18, 43059, {1, 3, 7, 3, 27, 51, 39, 7, 95, 239, 263, 3497, 867, 1869, 16773, 46947, 59193, 37523}},
+{15978, 18, 43094, {1, 3, 1, 1, 25, 31, 113, 127, 187, 77, 675, 3307, 999, 12255, 26441, 30933, 122761, 116783}},
+{15979, 18, 43124, {1, 1, 5, 7, 7, 11, 87, 59, 437, 485, 685, 3159, 7259, 16271, 24899, 17919, 130271, 52953}},
+{15980, 18, 43218, {1, 1, 3, 11, 7, 13, 61, 157, 149, 1001, 285, 3631, 1923, 16013, 19507, 64447, 8073, 261171}},
+{15981, 18, 43220, {1, 3, 7, 9, 7, 13, 45, 7, 225, 671, 287, 1059, 5223, 2077, 7551, 58385, 92955, 162725}},
+{15982, 18, 43240, {1, 1, 5, 11, 11, 21, 17, 145, 97, 633, 475, 2639, 2069, 9663, 23633, 50949, 109941, 119865}},
+{15983, 18, 43258, {1, 1, 5, 13, 9, 49, 127, 171, 199, 413, 1315, 645, 305, 12123, 9559, 38319, 99945, 103313}},
+{15984, 18, 43263, {1, 3, 5, 3, 19, 21, 119, 17, 301, 611, 1785, 2081, 2245, 8761, 4755, 9507, 23133, 144575}},
+{15985, 18, 43265, {1, 3, 7, 11, 17, 25, 101, 59, 397, 249, 687, 715, 1151, 15941, 20525, 5171, 24073, 46257}},
+{15986, 18, 43290, {1, 1, 3, 15, 11, 45, 9, 201, 421, 867, 389, 3615, 5965, 10561, 18309, 17143, 52771, 230743}},
+{15987, 18, 43346, {1, 1, 3, 5, 9, 1, 109, 233, 431, 849, 421, 475, 1331, 9903, 20649, 34759, 118611, 38541}},
+{15988, 18, 43364, {1, 3, 5, 15, 9, 55, 113, 217, 83, 409, 1449, 2325, 4825, 11311, 14565, 65075, 124399, 3591}},
+{15989, 18, 43373, {1, 3, 3, 9, 27, 13, 101, 181, 255, 313, 693, 951, 1153, 13941, 14097, 8325, 4589, 102883}},
+{15990, 18, 43401, {1, 3, 7, 3, 3, 1, 43, 65, 321, 623, 1389, 57, 3461, 9965, 6743, 34843, 91673, 249573}},
+{15991, 18, 43416, {1, 3, 5, 5, 11, 29, 101, 79, 275, 685, 569, 59, 6921, 16065, 30625, 53339, 32283, 93401}},
+{15992, 18, 43443, {1, 3, 1, 11, 29, 33, 103, 145, 431, 289, 1845, 1915, 23, 699, 5475, 18413, 127185, 162637}},
+{15993, 18, 43458, {1, 3, 1, 11, 27, 23, 71, 63, 45, 579, 1187, 1189, 1781, 5595, 9043, 10155, 33321, 36487}},
+{15994, 18, 43497, {1, 3, 3, 15, 17, 19, 85, 233, 293, 833, 1711, 857, 7573, 393, 23141, 58713, 21399, 228381}},
+{15995, 18, 43506, {1, 3, 3, 15, 3, 35, 33, 35, 403, 123, 575, 3509, 6303, 13203, 17997, 15649, 64331, 124101}},
+{15996, 18, 43545, {1, 1, 3, 9, 23, 25, 39, 53, 119, 879, 573, 3225, 5069, 15489, 21887, 11773, 37783, 169523}},
+{15997, 18, 43558, {1, 3, 5, 5, 5, 25, 29, 189, 145, 863, 661, 3939, 1059, 11993, 1487, 3157, 118287, 69835}},
+{15998, 18, 43576, {1, 3, 7, 3, 15, 9, 85, 107, 17, 965, 1097, 2087, 1947, 14649, 4099, 50941, 64511, 209153}},
+{15999, 18, 43579, {1, 3, 5, 15, 19, 21, 127, 71, 429, 97, 1989, 835, 743, 11973, 14635, 45371, 114657, 208085}},
+{16000, 18, 43624, {1, 3, 5, 7, 23, 61, 99, 133, 235, 237, 435, 2681, 331, 7859, 20859, 3573, 102901, 775}},
+{16001, 18, 43630, {1, 3, 3, 9, 7, 57, 29, 15, 53, 569, 871, 1703, 2573, 10791, 719, 3487, 105709, 89573}},
+{16002, 18, 43637, {1, 1, 1, 9, 7, 21, 21, 207, 459, 621, 737, 635, 5101, 4343, 4961, 32067, 64017, 73675}},
+{16003, 18, 43654, {1, 1, 3, 9, 25, 27, 77, 69, 251, 327, 921, 3759, 1715, 14537, 21399, 10937, 9085, 241329}},
+{16004, 18, 43660, {1, 1, 5, 1, 23, 13, 63, 117, 81, 427, 1063, 1987, 2433, 14837, 13473, 28623, 44799, 202223}},
+{16005, 18, 43696, {1, 3, 1, 11, 17, 55, 89, 89, 455, 255, 1009, 1891, 2197, 9045, 23543, 48783, 22871, 58613}},
+{16006, 18, 43706, {1, 3, 7, 15, 25, 5, 11, 71, 399, 23, 239, 93, 6681, 11311, 23403, 58131, 59549, 38917}},
+{16007, 18, 43725, {1, 1, 1, 1, 19, 63, 73, 31, 69, 145, 921, 2475, 3505, 4797, 23805, 28621, 101153, 98895}},
+{16008, 18, 43733, {1, 3, 3, 3, 9, 1, 113, 111, 275, 851, 519, 1607, 635, 13287, 6191, 24545, 112039, 114383}},
+{16009, 18, 43753, {1, 3, 7, 9, 13, 13, 107, 97, 37, 133, 21, 1059, 4201, 6777, 2843, 43503, 23761, 13247}},
+{16010, 18, 43756, {1, 1, 7, 9, 25, 23, 101, 135, 471, 901, 539, 4083, 1765, 15553, 5879, 10787, 67543, 104543}},
+{16011, 18, 43761, {1, 3, 3, 13, 25, 63, 1, 49, 287, 357, 1701, 3689, 3895, 16313, 22619, 20203, 8195, 93127}},
+{16012, 18, 43768, {1, 1, 1, 11, 15, 37, 75, 43, 311, 443, 1639, 549, 4707, 3099, 677, 59115, 11709, 71013}},
+{16013, 18, 43812, {1, 1, 5, 11, 17, 43, 23, 21, 421, 613, 199, 1029, 5255, 271, 12911, 63431, 108889, 253379}},
+{16014, 18, 43822, {1, 3, 7, 11, 27, 45, 9, 89, 65, 25, 1183, 3497, 8123, 2389, 215, 16819, 63777, 163423}},
+{16015, 18, 43841, {1, 1, 5, 5, 29, 43, 65, 201, 391, 861, 1133, 3985, 983, 13039, 15545, 13695, 91467, 963}},
+{16016, 18, 43861, {1, 3, 7, 3, 9, 55, 73, 205, 287, 765, 941, 353, 7379, 2511, 555, 64399, 77605, 121959}},
+{16017, 18, 43868, {1, 3, 1, 11, 25, 15, 109, 35, 351, 675, 1219, 3791, 233, 15133, 30733, 24477, 86077, 85857}},
+{16018, 18, 43877, {1, 1, 1, 7, 13, 33, 63, 45, 503, 525, 781, 517, 2187, 1587, 17297, 26147, 35421, 61269}},
+{16019, 18, 43878, {1, 3, 1, 9, 9, 35, 69, 79, 447, 675, 803, 2793, 5793, 4433, 29227, 5437, 103347, 37713}},
+{16020, 18, 43908, {1, 3, 1, 9, 27, 31, 65, 167, 327, 231, 1959, 657, 3141, 8659, 11055, 23923, 73597, 187139}},
+{16021, 18, 43917, {1, 1, 5, 9, 29, 5, 37, 3, 281, 693, 133, 2139, 5867, 12073, 23669, 11427, 80627, 249003}},
+{16022, 18, 43936, {1, 1, 1, 13, 9, 35, 89, 203, 381, 281, 535, 1061, 7417, 13373, 12149, 37943, 113133, 110797}},
+{16023, 18, 43954, {1, 1, 7, 5, 7, 17, 71, 65, 385, 851, 1357, 3435, 4441, 6999, 27065, 32753, 129531, 52447}},
+{16024, 18, 43963, {1, 3, 7, 1, 3, 21, 25, 113, 361, 219, 1345, 2193, 5711, 3331, 14343, 23075, 39955, 71223}},
+{16025, 18, 43977, {1, 1, 7, 9, 15, 9, 101, 183, 59, 861, 931, 3385, 6517, 12067, 7753, 37997, 128361, 4591}},
+{16026, 18, 44008, {1, 3, 5, 3, 23, 5, 37, 217, 203, 749, 993, 2537, 2425, 13949, 17235, 15461, 21275, 141815}},
+{16027, 18, 44013, {1, 3, 5, 1, 19, 59, 63, 241, 211, 285, 2033, 1111, 2859, 14801, 9491, 14557, 12973, 223089}},
+{16028, 18, 44026, {1, 1, 1, 11, 15, 41, 57, 59, 233, 897, 1193, 381, 2237, 5309, 19237, 57607, 97941, 116573}},
+{16029, 18, 44028, {1, 1, 3, 9, 15, 17, 75, 15, 385, 129, 495, 887, 4933, 15113, 7449, 56213, 15841, 248029}},
+{16030, 18, 44045, {1, 3, 1, 1, 29, 37, 19, 221, 47, 185, 1105, 3297, 5235, 6917, 12041, 10815, 54747, 132329}},
+{16031, 18, 44046, {1, 3, 1, 5, 3, 17, 33, 35, 395, 491, 1157, 2563, 6257, 1025, 18295, 5293, 77851, 140157}},
+{16032, 18, 44053, {1, 3, 1, 13, 7, 31, 95, 21, 347, 409, 1485, 925, 327, 11497, 7305, 6503, 111175, 70989}},
+{16033, 18, 44091, {1, 3, 3, 1, 11, 41, 127, 93, 367, 649, 1585, 3379, 7269, 5537, 26077, 28541, 55379, 22989}},
+{16034, 18, 44101, {1, 1, 1, 5, 27, 11, 35, 49, 7, 113, 1477, 3615, 7567, 505, 13915, 51023, 50783, 45031}},
+{16035, 18, 44129, {1, 1, 7, 5, 25, 1, 35, 59, 269, 427, 791, 3179, 1423, 9801, 17717, 23631, 97947, 126861}},
+{16036, 18, 44139, {1, 3, 5, 7, 1, 51, 77, 97, 19, 287, 303, 791, 307, 4939, 13615, 61225, 98127, 114693}},
+{16037, 18, 44172, {1, 3, 3, 15, 5, 5, 93, 119, 429, 977, 1763, 3727, 1761, 3597, 16489, 71, 44103, 257929}},
+{16038, 18, 44203, {1, 1, 5, 1, 15, 29, 79, 33, 335, 381, 1233, 47, 6741, 4953, 29689, 11223, 129185, 182487}},
+{16039, 18, 44211, {1, 1, 1, 11, 29, 27, 27, 189, 507, 523, 1949, 2567, 4105, 1227, 16631, 34187, 28521, 265}},
+{16040, 18, 44240, {1, 3, 3, 7, 3, 7, 39, 155, 315, 439, 1953, 1227, 6135, 16291, 453, 50929, 67507, 166981}},
+{16041, 18, 44259, {1, 3, 1, 5, 7, 55, 121, 119, 87, 869, 1049, 575, 3675, 13505, 15661, 43899, 106877, 141691}},
+{16042, 18, 44305, {1, 3, 1, 11, 23, 9, 117, 243, 329, 767, 335, 2951, 2887, 13441, 27579, 15437, 31699, 165177}},
+{16043, 18, 44383, {1, 3, 7, 11, 5, 49, 47, 125, 431, 511, 299, 3215, 3287, 7029, 9737, 28317, 34355, 232365}},
+{16044, 18, 44384, {1, 3, 7, 3, 17, 9, 29, 255, 509, 393, 1583, 1979, 6735, 941, 4393, 35741, 82019, 109633}},
+{16045, 18, 44389, {1, 1, 5, 1, 13, 31, 95, 133, 117, 257, 993, 1513, 4669, 12239, 7841, 751, 79567, 23289}},
+{16046, 18, 44390, {1, 1, 7, 9, 25, 33, 127, 181, 61, 333, 1087, 1661, 2715, 2569, 30041, 4937, 36053, 3435}},
+{16047, 18, 44432, {1, 3, 1, 13, 15, 27, 123, 73, 377, 85, 435, 3435, 2079, 9271, 28685, 30089, 38799, 210247}},
+{16048, 18, 44435, {1, 1, 5, 3, 5, 17, 93, 181, 313, 837, 1115, 3099, 3603, 3483, 23185, 9933, 53127, 123245}},
+{16049, 18, 44468, {1, 1, 1, 13, 3, 57, 11, 67, 41, 273, 1005, 2313, 505, 6593, 27287, 47359, 104597, 45475}},
+{16050, 18, 44472, {1, 1, 1, 5, 13, 41, 97, 251, 317, 483, 163, 1493, 6629, 11995, 31293, 4715, 98569, 178419}},
+{16051, 18, 44483, {1, 3, 5, 5, 21, 7, 69, 169, 223, 953, 1573, 1137, 8075, 7733, 23031, 14589, 6453, 228883}},
+{16052, 18, 44497, {1, 1, 7, 9, 27, 37, 3, 183, 41, 99, 111, 1713, 1291, 8263, 6373, 39549, 3099, 156793}},
+{16053, 18, 44550, {1, 1, 3, 1, 23, 43, 15, 27, 223, 173, 1601, 2159, 3595, 15143, 31065, 35799, 77339, 141397}},
+{16054, 18, 44577, {1, 1, 5, 13, 9, 35, 27, 93, 23, 999, 593, 563, 5333, 8825, 27277, 46381, 3171, 6311}},
+{16055, 18, 44584, {1, 3, 7, 15, 25, 17, 7, 237, 379, 649, 1879, 2643, 5951, 4227, 4937, 24549, 43577, 116327}},
+{16056, 18, 44601, {1, 1, 3, 9, 29, 35, 101, 105, 19, 151, 1135, 897, 2427, 15779, 31851, 29183, 44471, 187817}},
+{16057, 18, 44674, {1, 3, 7, 11, 9, 55, 19, 115, 395, 559, 1883, 409, 2459, 201, 18975, 339, 108251, 19429}},
+{16058, 18, 44683, {1, 3, 1, 13, 1, 11, 67, 45, 407, 169, 1401, 381, 3913, 6491, 28133, 63857, 52095, 115749}},
+{16059, 18, 44688, {1, 1, 1, 11, 21, 45, 65, 253, 511, 51, 893, 3533, 2101, 4779, 23941, 22449, 82457, 44447}},
+{16060, 18, 44694, {1, 1, 7, 11, 19, 33, 101, 241, 493, 111, 1967, 469, 6575, 10445, 733, 56467, 27403, 25863}},
+{16061, 18, 44703, {1, 3, 1, 1, 5, 49, 21, 79, 53, 621, 43, 1183, 1385, 9129, 21727, 35559, 35269, 211383}},
+{16062, 18, 44713, {1, 1, 1, 13, 23, 43, 53, 145, 149, 611, 745, 899, 7095, 3243, 1993, 35807, 110783, 246199}},
+{16063, 18, 44721, {1, 1, 7, 9, 25, 37, 71, 233, 407, 1, 1749, 759, 7689, 15573, 7351, 33505, 22631, 49125}},
+{16064, 18, 44722, {1, 3, 1, 13, 31, 49, 105, 13, 257, 843, 1171, 2819, 621, 12567, 24339, 6689, 127413, 249671}},
+{16065, 18, 44733, {1, 1, 5, 11, 5, 1, 93, 21, 317, 789, 571, 2493, 7255, 6459, 14737, 13989, 47003, 246561}},
+{16066, 18, 44746, {1, 3, 5, 7, 9, 11, 69, 143, 175, 581, 825, 2219, 1165, 9061, 6073, 57169, 18135, 94943}},
+{16067, 18, 44748, {1, 1, 5, 7, 7, 55, 121, 107, 395, 939, 1291, 2497, 3757, 1361, 31823, 19375, 22551, 224653}},
+{16068, 18, 44760, {1, 1, 7, 15, 15, 1, 47, 225, 223, 589, 1539, 173, 6257, 5461, 11197, 9801, 80687, 84279}},
+{16069, 18, 44765, {1, 3, 7, 11, 23, 47, 83, 119, 367, 895, 431, 1949, 565, 1397, 24911, 29661, 67861, 74621}},
+{16070, 18, 44766, {1, 3, 3, 9, 17, 29, 15, 65, 157, 255, 303, 1467, 3279, 8873, 31279, 431, 8497, 7209}},
+{16071, 18, 44775, {1, 1, 5, 13, 9, 39, 85, 133, 427, 897, 1665, 2109, 2865, 15573, 27729, 59905, 2241, 83099}},
+{16072, 18, 44794, {1, 3, 1, 13, 1, 45, 65, 65, 249, 79, 1515, 503, 953, 9859, 13307, 27419, 102209, 107529}},
+{16073, 18, 44822, {1, 3, 7, 9, 17, 13, 79, 93, 231, 5, 1811, 557, 1837, 8077, 8109, 3497, 79985, 134375}},
+{16074, 18, 44841, {1, 1, 5, 9, 15, 3, 23, 27, 491, 9, 1657, 3877, 3783, 12645, 2599, 10673, 40035, 197681}},
+{16075, 18, 44859, {1, 1, 5, 3, 5, 13, 121, 145, 291, 621, 1731, 145, 2033, 341, 3667, 4139, 52035, 115865}},
+{16076, 18, 44894, {1, 3, 5, 5, 3, 29, 115, 227, 339, 23, 1659, 2367, 1079, 10757, 30709, 41473, 55847, 228761}},
+{16077, 18, 44900, {1, 3, 5, 7, 7, 61, 103, 57, 197, 31, 237, 2507, 5247, 10529, 13823, 47845, 129031, 47029}},
+{16078, 18, 44904, {1, 3, 7, 5, 3, 17, 91, 31, 277, 977, 1905, 3991, 3657, 12197, 14535, 43263, 109629, 31665}},
+{16079, 18, 44946, {1, 1, 5, 15, 29, 43, 121, 113, 159, 929, 669, 2067, 4999, 6847, 12369, 61795, 98525, 78051}},
+{16080, 18, 44967, {1, 1, 3, 7, 25, 61, 65, 79, 373, 683, 113, 1495, 5447, 15507, 16731, 53959, 62905, 252173}},
+{16081, 18, 44994, {1, 3, 1, 11, 1, 15, 101, 55, 477, 357, 333, 3243, 3325, 5885, 11385, 685, 90575, 23015}},
+{16082, 18, 44999, {1, 3, 1, 7, 15, 13, 91, 141, 209, 865, 2035, 2791, 367, 9953, 29547, 36731, 13649, 192911}},
+{16083, 18, 45013, {1, 1, 5, 15, 9, 59, 37, 131, 3, 299, 897, 119, 7515, 5271, 2207, 18187, 62613, 210345}},
+{16084, 18, 45017, {1, 3, 1, 7, 29, 53, 95, 185, 327, 473, 1525, 3751, 915, 5883, 4137, 46343, 104917, 182895}},
+{16085, 18, 45020, {1, 1, 7, 3, 31, 57, 53, 169, 215, 607, 541, 1081, 5265, 2509, 28379, 41767, 19435, 143693}},
+{16086, 18, 45027, {1, 1, 7, 7, 31, 57, 19, 203, 467, 57, 1305, 1513, 6069, 15595, 31717, 44687, 65335, 159315}},
+{16087, 18, 45029, {1, 1, 1, 1, 13, 1, 41, 39, 489, 465, 1645, 2847, 6193, 11025, 11297, 55945, 92085, 243061}},
+{16088, 18, 45066, {1, 3, 3, 13, 15, 47, 87, 77, 321, 903, 181, 2093, 1673, 5375, 17969, 48467, 83441, 120867}},
+{16089, 18, 45074, {1, 3, 3, 13, 13, 17, 65, 181, 283, 471, 745, 1091, 7255, 5987, 29423, 27579, 96201, 218157}},
+{16090, 18, 45080, {1, 1, 1, 7, 13, 5, 101, 131, 309, 401, 99, 2353, 55, 2377, 6059, 64777, 33401, 225605}},
+{16091, 18, 45090, {1, 3, 1, 15, 9, 35, 37, 197, 65, 593, 411, 2233, 1485, 9599, 9581, 31935, 115145, 76867}},
+{16092, 18, 45101, {1, 3, 7, 9, 3, 41, 103, 237, 453, 335, 1831, 3947, 7573, 3859, 12495, 60617, 20715, 163119}},
+{16093, 18, 45110, {1, 3, 5, 7, 9, 9, 25, 79, 421, 267, 585, 1093, 2237, 8881, 7311, 39417, 110901, 8969}},
+{16094, 18, 45113, {1, 3, 3, 15, 1, 29, 75, 159, 89, 965, 457, 1645, 1485, 729, 30547, 2275, 79633, 126089}},
+{16095, 18, 45134, {1, 3, 7, 7, 19, 47, 55, 115, 287, 477, 719, 3311, 2455, 12033, 13811, 34011, 45153, 126991}},
+{16096, 18, 45136, {1, 3, 7, 5, 9, 33, 27, 215, 7, 113, 1027, 415, 1057, 13011, 1547, 7955, 21347, 79427}},
+{16097, 18, 45148, {1, 3, 1, 11, 1, 41, 27, 29, 255, 763, 219, 897, 915, 453, 9417, 22845, 31655, 228869}},
+{16098, 18, 45158, {1, 1, 7, 13, 7, 49, 105, 111, 53, 219, 171, 841, 5027, 5311, 28171, 58719, 32241, 170921}},
+{16099, 18, 45176, {1, 3, 5, 7, 21, 53, 11, 169, 45, 429, 1727, 1953, 8119, 14955, 19997, 62665, 31345, 135715}},
+{16100, 18, 45181, {1, 1, 5, 13, 17, 13, 125, 247, 411, 663, 1725, 2515, 7995, 8963, 5797, 32871, 66603, 137997}},
+{16101, 18, 45185, {1, 1, 5, 5, 23, 37, 15, 63, 35, 817, 463, 1413, 1203, 8031, 4169, 45755, 93511, 134751}},
+{16102, 18, 45188, {1, 1, 1, 1, 31, 17, 15, 125, 199, 57, 1499, 1567, 6113, 6503, 515, 57841, 49885, 213881}},
+{16103, 18, 45203, {1, 1, 7, 7, 15, 1, 67, 213, 197, 471, 577, 27, 1533, 13009, 31861, 62435, 113139, 77057}},
+{16104, 18, 45209, {1, 3, 7, 1, 29, 21, 99, 173, 137, 19, 1727, 1157, 5215, 4367, 28803, 26031, 120195, 60111}},
+{16105, 18, 45231, {1, 1, 5, 9, 25, 55, 27, 45, 231, 693, 765, 429, 2897, 6045, 19705, 61903, 5385, 172967}},
+{16106, 18, 45234, {1, 3, 1, 5, 9, 17, 35, 151, 91, 41, 89, 3751, 27, 5721, 26117, 6105, 31609, 79569}},
+{16107, 18, 45239, {1, 3, 5, 11, 15, 3, 25, 73, 383, 765, 729, 51, 4245, 6215, 9435, 45223, 68071, 68453}},
+{16108, 18, 45246, {1, 1, 7, 5, 31, 61, 19, 153, 331, 233, 11, 3047, 3939, 11959, 897, 4437, 2941, 174493}},
+{16109, 18, 45260, {1, 1, 7, 11, 27, 11, 83, 33, 7, 761, 805, 2327, 2997, 12269, 18707, 10615, 114357, 54951}},
+{16110, 18, 45284, {1, 3, 5, 9, 3, 45, 65, 193, 347, 771, 663, 2901, 6467, 14109, 5169, 38021, 39605, 216877}},
+{16111, 18, 45301, {1, 1, 7, 1, 1, 13, 109, 179, 499, 325, 1763, 1923, 7429, 259, 20589, 48473, 49605, 124709}},
+{16112, 18, 45333, {1, 3, 1, 3, 5, 27, 25, 127, 313, 541, 589, 751, 5959, 5801, 32467, 40597, 75625, 24827}},
+{16113, 18, 45350, {1, 1, 1, 3, 13, 35, 71, 223, 281, 767, 447, 1253, 2227, 7305, 23125, 62847, 16783, 76145}},
+{16114, 18, 45354, {1, 1, 5, 5, 11, 1, 95, 215, 351, 915, 1471, 143, 4011, 3373, 19019, 31797, 85891, 33871}},
+{16115, 18, 45446, {1, 1, 3, 9, 15, 39, 125, 29, 85, 625, 1155, 753, 6679, 14239, 14597, 32715, 97313, 162291}},
+{16116, 18, 45458, {1, 1, 1, 7, 13, 47, 127, 69, 199, 145, 123, 3207, 7673, 9991, 27501, 29189, 93027, 136881}},
+{16117, 18, 45518, {1, 3, 1, 15, 9, 21, 121, 23, 457, 315, 437, 1919, 5531, 13817, 8883, 4421, 19487, 88591}},
+{16118, 18, 45566, {1, 3, 1, 9, 15, 49, 101, 27, 11, 283, 1277, 971, 7697, 5915, 12709, 38251, 88165, 261609}},
+{16119, 18, 45569, {1, 1, 3, 9, 17, 19, 53, 131, 327, 917, 603, 2451, 3597, 14731, 9223, 29719, 113507, 69875}},
+{16120, 18, 45575, {1, 1, 5, 7, 1, 3, 77, 71, 149, 901, 283, 1599, 1053, 16305, 9937, 20907, 4133, 29623}},
+{16121, 18, 45576, {1, 1, 3, 9, 25, 63, 101, 255, 397, 233, 1111, 1583, 3431, 5245, 30209, 33201, 63859, 16551}},
+{16122, 18, 45587, {1, 1, 7, 5, 19, 25, 9, 137, 105, 363, 867, 811, 5829, 12595, 18867, 61021, 19425, 99399}},
+{16123, 18, 45615, {1, 1, 3, 7, 11, 1, 119, 95, 367, 239, 1677, 67, 283, 5701, 3635, 26917, 112895, 224049}},
+{16124, 18, 45661, {1, 3, 5, 11, 13, 33, 11, 191, 305, 551, 159, 1953, 4231, 811, 8711, 41291, 110917, 176177}},
+{16125, 18, 45798, {1, 3, 5, 9, 15, 3, 27, 29, 77, 881, 849, 1113, 7151, 3433, 11199, 38409, 98173, 21373}},
+{16126, 18, 45829, {1, 1, 5, 13, 25, 57, 81, 169, 215, 379, 1707, 493, 1071, 4869, 19149, 24585, 61803, 149305}},
+{16127, 18, 45847, {1, 1, 5, 11, 13, 11, 9, 45, 207, 347, 1203, 185, 3919, 3119, 27879, 50793, 18499, 109239}},
+{16128, 18, 45858, {1, 1, 1, 5, 3, 23, 123, 175, 445, 439, 215, 1883, 6857, 14837, 29411, 33633, 96241, 68361}},
+{16129, 18, 45864, {1, 1, 5, 7, 31, 53, 19, 41, 477, 203, 1133, 1471, 5067, 3875, 30655, 9207, 24835, 22019}},
+{16130, 18, 45899, {1, 3, 1, 11, 19, 9, 91, 217, 135, 169, 489, 727, 5471, 2125, 20867, 19689, 78859, 222433}},
+{16131, 18, 45904, {1, 1, 1, 13, 5, 37, 37, 39, 397, 527, 789, 1447, 7123, 6099, 16849, 48895, 95543, 56135}},
+{16132, 18, 45919, {1, 3, 7, 7, 15, 31, 81, 165, 31, 867, 1879, 1161, 3651, 5167, 12855, 60195, 85611, 191791}},
+{16133, 18, 45974, {1, 1, 1, 9, 31, 35, 19, 123, 281, 445, 63, 2683, 7073, 1489, 9791, 40125, 43723, 103765}},
+{16134, 18, 45987, {1, 3, 3, 9, 23, 31, 113, 241, 149, 463, 1047, 3737, 8105, 16295, 4565, 8095, 16617, 87455}},
+{16135, 18, 45989, {1, 3, 5, 15, 1, 47, 29, 77, 27, 1013, 1091, 3657, 835, 563, 7139, 58839, 92697, 114523}},
+{16136, 18, 46008, {1, 3, 1, 1, 5, 49, 87, 251, 473, 583, 2033, 809, 5341, 15835, 691, 57133, 75751, 127717}},
+{16137, 18, 46036, {1, 3, 1, 11, 23, 51, 95, 167, 73, 739, 573, 1113, 7585, 5457, 25767, 5583, 29583, 48263}},
+{16138, 18, 46039, {1, 1, 3, 5, 9, 59, 1, 235, 17, 973, 1987, 3629, 1739, 6419, 29943, 44963, 63943, 18571}},
+{16139, 18, 46043, {1, 3, 7, 11, 9, 37, 25, 253, 307, 411, 891, 1977, 6979, 11287, 12619, 50327, 25831, 135673}},
+{16140, 18, 46045, {1, 1, 5, 15, 23, 27, 83, 157, 253, 559, 1989, 2431, 4821, 6617, 4295, 16143, 249, 109855}},
+{16141, 18, 46079, {1, 1, 3, 9, 31, 59, 117, 139, 379, 703, 49, 3013, 6383, 4019, 7289, 4567, 34931, 224967}},
+{16142, 18, 46084, {1, 1, 1, 3, 3, 33, 49, 127, 177, 417, 723, 3259, 1547, 3297, 19733, 59465, 122179, 13209}},
+{16143, 18, 46091, {1, 3, 3, 1, 3, 61, 23, 177, 77, 579, 1739, 2707, 5319, 13291, 10223, 45395, 62797, 124675}},
+{16144, 18, 46105, {1, 1, 3, 15, 25, 47, 79, 111, 245, 853, 1103, 3741, 5783, 2075, 26371, 28801, 117831, 111735}},
+{16145, 18, 46117, {1, 1, 5, 11, 3, 47, 43, 61, 75, 963, 1507, 3491, 6031, 14171, 32557, 23779, 44815, 168409}},
+{16146, 18, 46141, {1, 3, 3, 7, 21, 39, 61, 109, 13, 833, 373, 4021, 4035, 7987, 18957, 10423, 82823, 8763}},
+{16147, 18, 46147, {1, 1, 7, 3, 3, 33, 113, 77, 447, 127, 213, 1605, 3873, 12345, 7847, 63903, 80665, 6647}},
+{16148, 18, 46162, {1, 3, 1, 5, 25, 11, 49, 233, 377, 791, 43, 195, 393, 1403, 27567, 29673, 11327, 190513}},
+{16149, 18, 46184, {1, 3, 1, 15, 21, 3, 21, 169, 221, 495, 1045, 3715, 4923, 2437, 23203, 59905, 70285, 258455}},
+{16150, 18, 46197, {1, 1, 7, 13, 29, 33, 91, 153, 31, 359, 25, 3947, 1699, 4081, 20907, 24953, 64977, 88115}},
+{16151, 18, 46207, {1, 1, 5, 11, 17, 7, 17, 129, 91, 835, 139, 3823, 1827, 6787, 27367, 26801, 61513, 189677}},
+{16152, 18, 46214, {1, 3, 3, 9, 23, 21, 97, 103, 481, 859, 413, 893, 4021, 8111, 23703, 18791, 102735, 82735}},
+{16153, 18, 46218, {1, 1, 1, 7, 11, 53, 61, 3, 347, 633, 191, 3605, 41, 12605, 14381, 60403, 126223, 186157}},
+{16154, 18, 46237, {1, 3, 5, 1, 11, 33, 61, 235, 245, 623, 2019, 3289, 5761, 15557, 1685, 2173, 104825, 245139}},
+{16155, 18, 46247, {1, 1, 3, 7, 19, 55, 75, 219, 11, 75, 1765, 1833, 263, 6605, 26297, 24969, 17721, 109495}},
+{16156, 18, 46251, {1, 1, 7, 5, 7, 33, 23, 109, 207, 137, 385, 3233, 6765, 3517, 31389, 57049, 25645, 176257}},
+{16157, 18, 46327, {1, 1, 5, 5, 27, 63, 65, 23, 93, 721, 1665, 3805, 3611, 7543, 21119, 38565, 99921, 72773}},
+{16158, 18, 46333, {1, 1, 1, 13, 13, 19, 23, 5, 425, 727, 1469, 1261, 6597, 725, 27129, 36953, 25781, 191581}},
+{16159, 18, 46342, {1, 3, 3, 1, 3, 29, 25, 109, 237, 135, 409, 2239, 5033, 11007, 31861, 55171, 76313, 216271}},
+{16160, 18, 46366, {1, 3, 7, 13, 31, 33, 11, 31, 179, 67, 755, 2513, 37, 12863, 24053, 12315, 45009, 166643}},
+{16161, 18, 46376, {1, 1, 5, 13, 13, 37, 19, 223, 409, 387, 139, 3283, 243, 15573, 24173, 63271, 91561, 168665}},
+{16162, 18, 46384, {1, 3, 5, 7, 17, 25, 63, 231, 23, 965, 1873, 1021, 7927, 11127, 19553, 9883, 83009, 258991}},
+{16163, 18, 46404, {1, 3, 1, 7, 17, 21, 71, 65, 165, 845, 1739, 2395, 5959, 14803, 17333, 59003, 36477, 202511}},
+{16164, 18, 46478, {1, 3, 5, 13, 15, 57, 59, 205, 507, 41, 703, 195, 4373, 4023, 13399, 62061, 43645, 204899}},
+{16165, 18, 46511, {1, 3, 5, 11, 13, 13, 43, 19, 497, 599, 1345, 2001, 407, 2731, 16283, 55161, 130887, 189201}},
+{16166, 18, 46540, {1, 1, 7, 5, 13, 3, 105, 83, 235, 363, 869, 1715, 4031, 3419, 15149, 10627, 47787, 226107}},
+{16167, 18, 46638, {1, 3, 3, 3, 9, 49, 99, 161, 413, 739, 195, 2815, 1157, 9069, 15591, 4509, 30765, 184013}},
+{16168, 18, 46700, {1, 3, 7, 5, 25, 63, 23, 91, 507, 647, 1249, 2035, 4341, 8811, 8345, 49463, 69023, 195775}},
+{16169, 18, 46706, {1, 3, 5, 5, 5, 21, 117, 1, 321, 495, 251, 1961, 8043, 6593, 11017, 6167, 56607, 144009}},
+{16170, 18, 46745, {1, 1, 3, 3, 15, 63, 41, 177, 403, 375, 1771, 3, 7481, 4887, 799, 59283, 106319, 32155}},
+{16171, 18, 46757, {1, 1, 1, 7, 19, 57, 97, 91, 489, 561, 335, 3809, 3167, 8879, 1789, 22329, 58851, 84461}},
+{16172, 18, 46772, {1, 3, 3, 11, 3, 23, 79, 25, 187, 497, 1343, 543, 4495, 14599, 29365, 14795, 26341, 26923}},
+{16173, 18, 46776, {1, 3, 1, 13, 21, 35, 9, 227, 423, 761, 439, 3099, 5167, 12955, 12877, 5591, 123511, 74227}},
+{16174, 18, 46790, {1, 1, 3, 7, 1, 49, 115, 95, 481, 659, 183, 2337, 39, 235, 30869, 10223, 59673, 65293}},
+{16175, 18, 46794, {1, 1, 1, 13, 11, 29, 113, 37, 153, 993, 1195, 1695, 4741, 13671, 29097, 65023, 78281, 156235}},
+{16176, 18, 46804, {1, 3, 5, 11, 19, 17, 47, 243, 273, 679, 393, 4059, 705, 12473, 1867, 13783, 86821, 240545}},
+{16177, 18, 46820, {1, 3, 1, 11, 23, 35, 15, 31, 275, 261, 427, 909, 7925, 4737, 22825, 34859, 28593, 20071}},
+{16178, 18, 46849, {1, 3, 1, 1, 13, 1, 115, 115, 103, 63, 1023, 815, 7007, 6063, 13329, 28051, 29807, 109861}},
+{16179, 18, 46870, {1, 1, 1, 11, 19, 57, 49, 169, 33, 59, 579, 2409, 89, 9655, 18091, 57771, 34509, 175991}},
+{16180, 18, 46876, {1, 1, 5, 9, 27, 19, 41, 217, 313, 359, 1745, 3887, 589, 3103, 10087, 30615, 56793, 102515}},
+{16181, 18, 46903, {1, 3, 7, 11, 25, 43, 101, 245, 67, 1003, 1379, 2141, 8025, 15231, 20705, 45513, 82251, 147295}},
+{16182, 18, 46904, {1, 3, 5, 5, 5, 47, 19, 33, 107, 773, 627, 4077, 5829, 6483, 25791, 35079, 103073, 201657}},
+{16183, 18, 46907, {1, 1, 5, 15, 1, 37, 115, 15, 61, 987, 1029, 2125, 5357, 10233, 14907, 12077, 92143, 207301}},
+{16184, 18, 46932, {1, 1, 7, 7, 3, 15, 95, 3, 393, 535, 819, 743, 3613, 11459, 2269, 17083, 65547, 74813}},
+{16185, 18, 46955, {1, 1, 7, 5, 11, 27, 117, 65, 55, 87, 105, 3219, 1587, 383, 25349, 54561, 11935, 101203}},
+{16186, 18, 46963, {1, 1, 5, 15, 23, 53, 37, 149, 191, 963, 1407, 4091, 1647, 9537, 30247, 23501, 123745, 76301}},
+{16187, 18, 46991, {1, 3, 1, 1, 21, 31, 11, 107, 55, 823, 805, 141, 7177, 15883, 3307, 52245, 115171, 260589}},
+{16188, 18, 47029, {1, 3, 7, 13, 25, 15, 5, 221, 347, 83, 51, 1227, 4591, 851, 10173, 37777, 82441, 175219}},
+{16189, 18, 47036, {1, 1, 7, 15, 17, 41, 121, 215, 111, 999, 367, 1961, 3207, 10145, 10395, 24381, 95937, 12693}},
+{16190, 18, 47054, {1, 1, 1, 11, 23, 27, 117, 255, 87, 519, 599, 3471, 3983, 2797, 13477, 56479, 27321, 101585}},
+{16191, 18, 47099, {1, 1, 5, 9, 1, 3, 35, 15, 457, 209, 141, 1295, 1631, 9745, 30247, 44865, 78113, 13207}},
+{16192, 18, 47106, {1, 3, 3, 1, 27, 63, 29, 31, 277, 173, 1321, 3847, 4127, 8713, 10507, 8697, 97025, 105995}},
+{16193, 18, 47132, {1, 1, 5, 13, 13, 47, 33, 69, 113, 369, 539, 4075, 1013, 9733, 9291, 33377, 130567, 238331}},
+{16194, 18, 47145, {1, 3, 7, 13, 15, 15, 125, 219, 205, 763, 1233, 1911, 7733, 7623, 27305, 6067, 16169, 238805}},
+{16195, 18, 47151, {1, 3, 1, 9, 23, 17, 35, 175, 157, 627, 1045, 1791, 1675, 11699, 2151, 28293, 14529, 30523}},
+{16196, 18, 47156, {1, 1, 5, 9, 5, 1, 23, 151, 295, 949, 371, 3317, 2557, 5815, 9699, 48379, 104561, 103747}},
+{16197, 18, 47171, {1, 3, 5, 5, 11, 57, 125, 247, 29, 257, 979, 2437, 4391, 8229, 11231, 30145, 111165, 92347}},
+{16198, 18, 47188, {1, 1, 3, 3, 27, 17, 71, 71, 357, 367, 1213, 2549, 6049, 15299, 2891, 21839, 109889, 34643}},
+{16199, 18, 47201, {1, 1, 1, 11, 7, 21, 41, 77, 249, 567, 1947, 2989, 875, 12975, 23599, 49313, 67213, 98415}},
+{16200, 18, 47219, {1, 1, 7, 7, 27, 51, 103, 221, 295, 247, 1579, 2435, 67, 3087, 9421, 59573, 111143, 42363}},
+{16201, 18, 47226, {1, 1, 1, 13, 27, 27, 75, 33, 81, 841, 1295, 2823, 997, 16329, 6117, 43361, 63727, 113347}},
+{16202, 18, 47241, {1, 1, 1, 3, 19, 7, 43, 93, 397, 293, 803, 3021, 3915, 1417, 22255, 38529, 53737, 133705}},
+{16203, 18, 47252, {1, 3, 3, 13, 1, 33, 1, 235, 255, 345, 1621, 315, 2685, 6451, 7133, 239, 103075, 175033}},
+{16204, 18, 47261, {1, 3, 1, 11, 29, 47, 61, 115, 395, 633, 1913, 2983, 4581, 3729, 22511, 16479, 80607, 232859}},
+{16205, 18, 47295, {1, 3, 7, 7, 27, 25, 29, 121, 511, 533, 1791, 3349, 4915, 8213, 13913, 6595, 2353, 207495}},
+{16206, 18, 47297, {1, 3, 7, 5, 21, 25, 77, 189, 473, 1015, 1455, 1923, 3281, 15163, 2329, 58529, 55369, 195007}},
+{16207, 18, 47333, {1, 3, 1, 1, 25, 37, 117, 41, 207, 413, 143, 1707, 7463, 15399, 3013, 4141, 37669, 70953}},
+{16208, 18, 47337, {1, 3, 5, 3, 31, 61, 41, 157, 141, 387, 1705, 1661, 3607, 6905, 3305, 63235, 7977, 253707}},
+{16209, 18, 47360, {1, 1, 5, 11, 29, 15, 61, 127, 417, 795, 171, 415, 7935, 4553, 29979, 21153, 108811, 219959}},
+{16210, 18, 47377, {1, 1, 5, 11, 17, 61, 3, 9, 297, 53, 933, 341, 507, 2683, 15313, 24113, 78617, 191127}},
+{16211, 18, 47378, {1, 1, 7, 15, 5, 57, 65, 187, 15, 541, 1843, 731, 7331, 2479, 26259, 32685, 125259, 108693}},
+{16212, 18, 47384, {1, 1, 7, 7, 11, 15, 33, 183, 225, 609, 1755, 3531, 2767, 6267, 30823, 36797, 59699, 136769}},
+{16213, 18, 47389, {1, 3, 5, 13, 15, 19, 77, 239, 307, 691, 1165, 1327, 7901, 9299, 7777, 39151, 96261, 79791}},
+{16214, 18, 47417, {1, 1, 3, 5, 29, 31, 85, 109, 381, 243, 955, 193, 3461, 5163, 18607, 51143, 74457, 84685}},
+{16215, 18, 47420, {1, 1, 5, 9, 11, 23, 77, 247, 149, 759, 1153, 1781, 4107, 16315, 15513, 48545, 55607, 163947}},
+{16216, 18, 47426, {1, 3, 3, 5, 21, 27, 57, 61, 75, 943, 97, 1507, 4091, 671, 23023, 49095, 61649, 222401}},
+{16217, 18, 47443, {1, 1, 3, 13, 1, 3, 15, 105, 285, 255, 577, 1347, 2917, 10257, 21607, 63041, 79823, 6447}},
+{16218, 18, 47504, {1, 1, 3, 1, 17, 25, 109, 47, 445, 225, 1729, 2835, 4569, 8755, 21847, 25839, 43503, 173599}},
+{16219, 18, 47507, {1, 1, 5, 15, 19, 1, 121, 119, 33, 77, 1147, 359, 5747, 2785, 15567, 5409, 125979, 199183}},
+{16220, 18, 47510, {1, 3, 1, 9, 17, 45, 85, 83, 427, 223, 531, 1681, 2343, 14959, 27297, 54607, 70889, 45529}},
+{16221, 18, 47526, {1, 1, 5, 11, 31, 61, 109, 195, 505, 197, 159, 2799, 4517, 11549, 10297, 17415, 58277, 206577}},
+{16222, 18, 47550, {1, 1, 3, 5, 17, 43, 107, 207, 453, 161, 1775, 1287, 5775, 12417, 14201, 48187, 75073, 121099}},
+{16223, 18, 47552, {1, 1, 5, 7, 31, 27, 67, 251, 127, 443, 263, 895, 8081, 14053, 32023, 54743, 14723, 221285}},
+{16224, 18, 47557, {1, 3, 3, 13, 27, 45, 51, 47, 243, 15, 1283, 2291, 3613, 14733, 8777, 3959, 36769, 104789}},
+{16225, 18, 47564, {1, 3, 5, 1, 5, 31, 1, 139, 411, 79, 959, 1431, 2329, 3595, 19231, 55747, 18923, 223709}},
+{16226, 18, 47591, {1, 3, 1, 1, 7, 9, 69, 201, 305, 411, 459, 3201, 2525, 6977, 16249, 17777, 114321, 243831}},
+{16227, 18, 47610, {1, 3, 3, 5, 13, 7, 3, 27, 201, 279, 1253, 1725, 1481, 8885, 1233, 40699, 7267, 189095}},
+{16228, 18, 47621, {1, 3, 5, 5, 31, 61, 53, 231, 93, 597, 2027, 2179, 4517, 565, 27807, 5447, 130341, 10411}},
+{16229, 18, 47639, {1, 1, 7, 1, 9, 17, 63, 245, 405, 23, 1647, 285, 6625, 8935, 959, 29095, 657, 185511}},
+{16230, 18, 47646, {1, 1, 7, 7, 5, 15, 49, 69, 479, 585, 437, 1097, 5933, 1709, 26169, 36895, 16981, 147033}},
+{16231, 18, 47676, {1, 3, 7, 13, 29, 19, 89, 249, 195, 687, 379, 1291, 4791, 9039, 6381, 12965, 99995, 105107}},
+{16232, 18, 47682, {1, 1, 5, 7, 13, 49, 101, 217, 205, 635, 577, 3301, 911, 1793, 22285, 20163, 22593, 45701}},
+{16233, 18, 47732, {1, 3, 7, 9, 3, 21, 55, 123, 205, 309, 59, 3739, 1625, 839, 26733, 27443, 6699, 244287}},
+{16234, 18, 47741, {1, 1, 1, 11, 29, 3, 33, 57, 481, 691, 1401, 3595, 5435, 571, 6945, 10911, 94721, 89751}},
+{16235, 18, 47751, {1, 1, 3, 5, 21, 19, 23, 169, 263, 137, 771, 1995, 2211, 6287, 18691, 14219, 65647, 89885}},
+{16236, 18, 47757, {1, 1, 3, 7, 7, 53, 9, 155, 327, 325, 301, 3703, 1069, 15573, 14873, 15665, 71617, 5079}},
+{16237, 18, 47786, {1, 3, 1, 3, 27, 15, 1, 203, 465, 629, 71, 1093, 2071, 7743, 22441, 42997, 35249, 113329}},
+{16238, 18, 47803, {1, 3, 5, 3, 21, 35, 107, 73, 247, 575, 719, 3215, 3181, 5861, 25169, 6503, 12347, 196371}},
+{16239, 18, 47828, {1, 3, 1, 3, 7, 29, 117, 115, 221, 345, 165, 1367, 1491, 15791, 12647, 34679, 1043, 219311}},
+{16240, 18, 47848, {1, 3, 5, 7, 19, 47, 65, 65, 101, 323, 1209, 3185, 3803, 1077, 18933, 17081, 7475, 165133}},
+{16241, 18, 47853, {1, 1, 7, 1, 25, 9, 61, 245, 175, 201, 1837, 2119, 943, 14043, 14343, 46299, 81151, 5587}},
+{16242, 18, 47856, {1, 1, 1, 1, 31, 27, 49, 89, 387, 975, 1203, 2995, 2969, 1465, 925, 39611, 38101, 126043}},
+{16243, 18, 47862, {1, 3, 7, 13, 21, 17, 45, 139, 359, 11, 335, 79, 6629, 6137, 7879, 62735, 99493, 138943}},
+{16244, 18, 47874, {1, 3, 5, 5, 9, 23, 91, 195, 89, 195, 1931, 3855, 387, 3491, 29643, 59939, 32347, 171539}},
+{16245, 18, 47883, {1, 3, 3, 15, 21, 55, 5, 13, 139, 125, 1731, 3131, 1927, 16051, 8351, 18625, 32465, 255813}},
+{16246, 18, 47916, {1, 3, 7, 11, 21, 45, 53, 225, 33, 733, 115, 639, 4801, 5529, 11041, 3557, 83521, 37525}},
+{16247, 18, 47934, {1, 3, 7, 15, 3, 37, 111, 127, 463, 565, 543, 2593, 2203, 5719, 11667, 63735, 16481, 155613}},
+{16248, 18, 47951, {1, 1, 3, 13, 31, 1, 17, 53, 479, 629, 1517, 89, 3377, 4831, 9213, 55029, 69547, 52363}},
+{16249, 18, 47979, {1, 1, 7, 1, 5, 47, 115, 73, 59, 407, 1227, 2955, 5249, 7921, 4713, 28699, 41455, 1161}},
+{16250, 18, 48010, {1, 1, 7, 7, 5, 7, 39, 7, 97, 867, 247, 639, 3125, 14961, 19737, 52589, 59821, 96095}},
+{16251, 18, 48027, {1, 1, 7, 5, 11, 51, 63, 245, 385, 1003, 189, 4039, 6137, 3621, 13241, 55753, 14855, 50221}},
+{16252, 18, 48046, {1, 3, 5, 3, 9, 61, 83, 209, 301, 917, 259, 187, 6253, 1579, 28285, 16571, 100945, 158067}},
+{16253, 18, 48060, {1, 3, 5, 11, 5, 47, 123, 173, 253, 183, 1823, 459, 4719, 13639, 8455, 12217, 88779, 134863}},
+{16254, 18, 48065, {1, 1, 1, 5, 1, 45, 43, 163, 371, 427, 1791, 1073, 1615, 14473, 15895, 4971, 105269, 109201}},
+{16255, 18, 48075, {1, 3, 1, 15, 11, 9, 99, 99, 25, 21, 1499, 83, 6967, 12923, 13623, 27423, 4707, 477}},
+{16256, 18, 48096, {1, 1, 3, 5, 15, 49, 45, 27, 51, 391, 1849, 347, 6841, 2831, 4425, 40701, 61135, 116945}},
+{16257, 18, 48119, {1, 1, 3, 7, 21, 23, 15, 223, 403, 395, 1997, 3247, 6345, 11739, 6511, 44323, 86667, 213287}},
+{16258, 18, 48173, {1, 3, 7, 11, 31, 21, 75, 129, 427, 777, 1787, 4031, 1493, 2279, 10681, 36675, 25527, 123533}},
+{16259, 18, 48176, {1, 3, 5, 15, 9, 5, 117, 147, 259, 265, 1817, 583, 5341, 12115, 2369, 4023, 123479, 218877}},
+{16260, 18, 48186, {1, 1, 1, 15, 5, 21, 87, 57, 487, 529, 1129, 2989, 39, 5995, 28779, 35813, 97425, 5227}},
+{16261, 18, 48213, {1, 1, 7, 3, 7, 1, 41, 231, 195, 205, 1663, 3149, 4439, 8241, 3085, 43965, 58833, 216779}},
+{16262, 18, 48223, {1, 1, 3, 1, 23, 45, 65, 3, 55, 653, 131, 2425, 5653, 9105, 16921, 55221, 29241, 220927}},
+{16263, 18, 48224, {1, 3, 1, 3, 5, 47, 107, 49, 175, 957, 1287, 1299, 5215, 4141, 31697, 9371, 43339, 133933}},
+{16264, 18, 48229, {1, 3, 1, 7, 13, 55, 33, 163, 361, 793, 101, 2159, 3457, 12893, 11627, 27115, 95201, 2945}},
+{16265, 18, 48241, {1, 1, 7, 15, 11, 39, 79, 113, 385, 41, 1715, 3887, 1347, 8141, 6121, 18653, 50867, 55745}},
+{16266, 18, 48281, {1, 1, 7, 13, 3, 5, 23, 59, 223, 665, 1823, 2989, 1069, 15161, 8917, 5539, 47437, 240933}},
+{16267, 18, 48284, {1, 3, 7, 13, 13, 19, 73, 25, 413, 211, 439, 339, 1159, 16063, 9589, 33451, 28789, 118883}},
+{16268, 18, 48291, {1, 1, 5, 11, 13, 61, 81, 63, 197, 569, 961, 253, 2065, 8969, 24045, 52811, 26929, 111329}},
+{16269, 18, 48308, {1, 3, 7, 5, 19, 23, 27, 163, 37, 103, 1737, 175, 1853, 597, 14147, 46159, 26385, 69427}},
+{16270, 18, 48340, {1, 3, 7, 9, 27, 43, 45, 209, 61, 115, 645, 1149, 1473, 10557, 8541, 51703, 29207, 92059}},
+{16271, 18, 48344, {1, 1, 5, 5, 25, 53, 123, 243, 493, 403, 485, 1505, 6879, 1921, 13569, 28271, 24407, 73057}},
+{16272, 18, 48368, {1, 1, 3, 11, 15, 31, 99, 29, 503, 819, 55, 773, 2993, 15341, 7625, 12835, 28555, 200609}},
+{16273, 18, 48400, {1, 1, 7, 9, 21, 49, 47, 207, 13, 571, 57, 1727, 7441, 1703, 4253, 64851, 113, 180273}},
+{16274, 18, 48406, {1, 3, 3, 9, 23, 1, 1, 53, 195, 569, 925, 1969, 3031, 14371, 17673, 39163, 11819, 117573}},
+{16275, 18, 48409, {1, 1, 1, 11, 5, 3, 103, 133, 447, 1015, 1049, 3283, 7507, 233, 13721, 50721, 75511, 227561}},
+{16276, 18, 48421, {1, 3, 1, 1, 17, 59, 79, 105, 503, 173, 1575, 1563, 5807, 12841, 7983, 28209, 27527, 229919}},
+{16277, 18, 48448, {1, 1, 3, 9, 3, 41, 125, 213, 361, 939, 161, 2235, 2575, 13519, 7957, 21527, 40693, 51055}},
+{16278, 18, 48453, {1, 3, 7, 11, 11, 7, 117, 21, 7, 745, 1109, 3393, 953, 5163, 19909, 49121, 85061, 209555}},
+{16279, 18, 48457, {1, 1, 7, 5, 27, 59, 127, 199, 119, 461, 653, 497, 5867, 767, 16373, 21201, 87589, 171491}},
+{16280, 18, 48478, {1, 1, 7, 11, 7, 21, 121, 97, 17, 827, 1191, 113, 6527, 14977, 32567, 15191, 104541, 140359}},
+{16281, 18, 48493, {1, 1, 7, 13, 19, 29, 127, 207, 233, 511, 43, 3177, 7963, 5559, 24185, 13373, 37853, 150537}},
+{16282, 18, 48527, {1, 3, 3, 9, 15, 17, 119, 201, 443, 51, 17, 605, 4191, 5251, 28903, 4861, 92571, 143499}},
+{16283, 18, 48583, {1, 1, 5, 11, 21, 45, 111, 245, 115, 705, 1267, 3013, 7907, 14973, 30499, 44117, 118229, 136571}},
+{16284, 18, 48597, {1, 3, 7, 7, 31, 35, 69, 143, 269, 27, 1365, 775, 6067, 11477, 28475, 54573, 92827, 226459}},
+{16285, 18, 48641, {1, 1, 5, 1, 1, 29, 41, 189, 423, 245, 1031, 1667, 3465, 1491, 26787, 53851, 26189, 215443}},
+{16286, 18, 48668, {1, 3, 3, 5, 23, 29, 97, 141, 135, 249, 767, 3627, 7867, 9311, 25411, 38325, 118643, 128453}},
+{16287, 18, 48671, {1, 3, 7, 13, 3, 25, 61, 121, 285, 401, 1099, 2327, 5509, 16127, 2363, 52395, 114233, 216013}},
+{16288, 18, 48682, {1, 1, 1, 13, 7, 37, 83, 151, 447, 605, 289, 2941, 6273, 5945, 7493, 29805, 34935, 101177}},
+{16289, 18, 48709, {1, 1, 7, 13, 31, 51, 125, 9, 321, 293, 489, 4023, 2425, 7645, 2927, 20973, 111223, 71255}},
+{16290, 18, 48719, {1, 1, 7, 3, 27, 9, 59, 143, 307, 543, 1995, 111, 5807, 4641, 3581, 2421, 64213, 187567}},
+{16291, 18, 48731, {1, 3, 3, 9, 23, 33, 47, 81, 441, 995, 213, 3501, 1003, 9885, 24101, 58767, 49507, 30525}},
+{16292, 18, 48780, {1, 3, 1, 3, 19, 51, 117, 53, 49, 167, 1799, 1421, 2473, 3183, 14421, 58621, 130703, 48095}},
+{16293, 18, 48791, {1, 1, 7, 7, 5, 25, 33, 237, 447, 377, 517, 2047, 4357, 2747, 16491, 23935, 21655, 144151}},
+{16294, 18, 48797, {1, 1, 7, 7, 17, 5, 57, 67, 89, 897, 1163, 3517, 1651, 6745, 23449, 2853, 43829, 50707}},
+{16295, 18, 48807, {1, 1, 1, 13, 5, 45, 87, 139, 339, 1021, 649, 2957, 7887, 11957, 11235, 11063, 77329, 93121}},
+{16296, 18, 48811, {1, 1, 1, 7, 11, 35, 73, 241, 11, 287, 551, 207, 4701, 2031, 27191, 44337, 35577, 226387}},
+{16297, 18, 48814, {1, 3, 5, 11, 19, 3, 41, 211, 29, 913, 1455, 2525, 3935, 5581, 8043, 12033, 97479, 73521}},
+{16298, 18, 48821, {1, 3, 5, 7, 15, 49, 53, 185, 229, 161, 121, 3407, 903, 7257, 19535, 42197, 3983, 222077}},
+{16299, 18, 48836, {1, 1, 5, 7, 17, 33, 61, 121, 343, 111, 151, 1147, 3743, 2423, 24151, 42307, 50711, 140317}},
+{16300, 18, 48846, {1, 3, 3, 7, 27, 1, 119, 209, 243, 185, 1253, 2307, 7659, 7839, 9697, 16799, 5189, 130005}},
+{16301, 18, 48848, {1, 3, 3, 1, 27, 21, 115, 175, 157, 735, 1233, 1133, 1763, 1125, 4667, 42569, 125185, 218417}},
+{16302, 18, 48854, {1, 3, 5, 9, 5, 37, 97, 165, 87, 447, 1491, 3141, 597, 10651, 9727, 65163, 2469, 141859}},
+{16303, 18, 48874, {1, 1, 5, 13, 11, 53, 111, 123, 423, 413, 1519, 3715, 6623, 15415, 24085, 20925, 1529, 85183}},
+{16304, 18, 48908, {1, 3, 7, 1, 31, 45, 93, 45, 363, 779, 443, 3687, 6051, 11683, 31733, 57251, 55087, 240877}},
+{16305, 18, 48929, {1, 1, 1, 15, 1, 17, 53, 237, 131, 673, 1919, 1531, 7455, 5043, 1709, 23375, 75657, 194393}},
+{16306, 18, 48941, {1, 3, 5, 9, 21, 3, 101, 141, 387, 887, 1329, 2627, 2865, 2685, 20273, 18901, 43805, 181049}},
+{16307, 18, 48954, {1, 3, 5, 5, 7, 49, 55, 243, 311, 653, 959, 3157, 4891, 8777, 14381, 28105, 119323, 181129}},
+{16308, 18, 48961, {1, 1, 1, 9, 17, 33, 97, 123, 71, 5, 793, 2829, 4385, 8577, 9927, 26213, 53287, 203555}},
+{16309, 18, 48962, {1, 1, 1, 9, 15, 61, 51, 31, 195, 1003, 1915, 2349, 5319, 13411, 15265, 36321, 76157, 200437}},
+{16310, 18, 48985, {1, 3, 1, 13, 19, 41, 11, 227, 447, 395, 1885, 2953, 3537, 3855, 21611, 14547, 106573, 233205}},
+{16311, 18, 49001, {1, 3, 1, 11, 1, 1, 7, 61, 69, 631, 1687, 1131, 6901, 5801, 14431, 17807, 35777, 253941}},
+{16312, 18, 49007, {1, 3, 5, 9, 15, 47, 71, 145, 419, 401, 1781, 2031, 3157, 14483, 2393, 4061, 122053, 81701}},
+{16313, 18, 49015, {1, 3, 7, 13, 23, 21, 67, 147, 137, 277, 259, 3119, 4785, 5349, 3193, 21805, 108265, 231111}},
+{16314, 18, 49035, {1, 1, 3, 9, 23, 63, 77, 153, 75, 643, 1341, 3607, 6001, 3387, 17485, 17893, 124699, 99515}},
+{16315, 18, 49062, {1, 1, 7, 11, 9, 51, 79, 255, 255, 723, 1797, 2805, 2505, 3437, 4835, 30731, 73741, 8051}},
+{16316, 18, 49066, {1, 1, 5, 7, 5, 19, 73, 75, 19, 889, 1443, 2263, 5773, 9997, 329, 46679, 82313, 130897}},
+{16317, 18, 49085, {1, 3, 3, 9, 7, 53, 69, 11, 287, 861, 1367, 1433, 2693, 16255, 6785, 24705, 77463, 231247}},
+{16318, 18, 49091, {1, 1, 3, 7, 21, 15, 115, 131, 169, 447, 1731, 2873, 119, 643, 31719, 22193, 17959, 150567}},
+{16319, 18, 49094, {1, 3, 3, 9, 23, 21, 7, 39, 185, 837, 379, 3687, 3751, 14801, 15231, 7239, 77521, 80135}},
+{16320, 18, 49127, {1, 1, 1, 1, 7, 33, 93, 247, 487, 873, 1951, 3273, 551, 3735, 29477, 62387, 30361, 145613}},
+{16321, 18, 49134, {1, 1, 3, 7, 5, 47, 17, 31, 93, 517, 1175, 1033, 7421, 75, 541, 1967, 13059, 104751}},
+{16322, 18, 49183, {1, 3, 5, 3, 19, 23, 123, 115, 99, 747, 655, 2885, 2991, 7497, 5989, 33419, 54363, 224947}},
+{16323, 18, 49221, {1, 3, 3, 1, 15, 9, 51, 3, 307, 879, 1065, 1835, 2267, 11299, 21995, 2997, 102207, 39}},
+{16324, 18, 49231, {1, 3, 5, 3, 9, 19, 19, 79, 499, 121, 951, 1151, 379, 5299, 13727, 49061, 32605, 208683}},
+{16325, 18, 49250, {1, 3, 7, 7, 23, 41, 71, 23, 493, 969, 271, 3729, 6199, 14693, 17625, 52509, 121257, 151175}},
+{16326, 18, 49252, {1, 1, 7, 15, 9, 51, 61, 9, 147, 527, 803, 3255, 723, 3241, 23961, 17497, 122569, 50863}},
+{16327, 18, 49270, {1, 3, 5, 1, 19, 19, 31, 31, 95, 667, 377, 1193, 6759, 8583, 29801, 7989, 113899, 43481}},
+{16328, 18, 49297, {1, 3, 7, 5, 17, 47, 1, 7, 305, 489, 1035, 1335, 5901, 9635, 10433, 4235, 108577, 52661}},
+{16329, 18, 49313, {1, 1, 7, 3, 15, 7, 105, 189, 429, 287, 679, 111, 2087, 8479, 3053, 21763, 65655, 16207}},
+{16330, 18, 49340, {1, 3, 5, 13, 19, 41, 45, 115, 311, 653, 1301, 3797, 6183, 7203, 9829, 13263, 71649, 255611}},
+{16331, 18, 49365, {1, 3, 1, 9, 21, 33, 19, 233, 83, 423, 1701, 347, 3999, 11885, 19699, 61931, 63895, 59615}},
+{16332, 18, 49379, {1, 1, 7, 7, 15, 19, 61, 43, 183, 223, 1135, 3099, 3137, 16181, 31019, 20151, 30169, 13125}},
+{16333, 18, 49386, {1, 1, 1, 11, 9, 11, 3, 157, 495, 207, 603, 1919, 3565, 7639, 4281, 49179, 2465, 224033}},
+{16334, 18, 49391, {1, 3, 1, 13, 13, 19, 127, 81, 475, 659, 1053, 3153, 5223, 12567, 30945, 47109, 98253, 41571}},
+{16335, 18, 49417, {1, 1, 5, 11, 19, 1, 9, 67, 501, 149, 1695, 1265, 6467, 5285, 29865, 46777, 97581, 209395}},
+{16336, 18, 49438, {1, 1, 1, 11, 21, 23, 123, 103, 419, 787, 111, 3327, 673, 3425, 8097, 2411, 107353, 121379}},
+{16337, 18, 49444, {1, 1, 3, 3, 17, 7, 87, 35, 501, 973, 351, 751, 4813, 12245, 3053, 38633, 44995, 37151}},
+{16338, 18, 49453, {1, 3, 5, 15, 7, 57, 99, 53, 3, 355, 153, 3897, 6923, 2075, 10821, 41819, 75665, 21237}},
+{16339, 18, 49454, {1, 3, 5, 9, 3, 29, 85, 115, 191, 977, 1067, 1539, 5287, 3589, 18017, 35571, 41633, 148565}},
+{16340, 18, 49480, {1, 1, 3, 9, 9, 57, 1, 63, 333, 107, 1173, 3377, 3599, 277, 20643, 19295, 91169, 168891}},
+{16341, 18, 49485, {1, 1, 5, 13, 21, 7, 55, 15, 79, 995, 1553, 949, 6357, 8137, 9539, 861, 95635, 63021}},
+{16342, 18, 49498, {1, 1, 5, 13, 31, 59, 11, 55, 159, 449, 307, 2725, 2305, 8259, 13823, 51225, 44775, 54253}},
+{16343, 18, 49513, {1, 3, 3, 15, 19, 61, 105, 19, 211, 693, 835, 3607, 3703, 14007, 24597, 47109, 49855, 166115}},
+{16344, 18, 49527, {1, 3, 1, 9, 27, 33, 81, 229, 445, 171, 247, 2019, 5227, 8759, 30155, 1851, 26909, 47145}},
+{16345, 18, 49531, {1, 1, 3, 5, 23, 1, 57, 49, 177, 451, 1283, 3859, 4719, 13507, 29439, 9155, 129585, 94713}},
+{16346, 18, 49564, {1, 3, 3, 5, 1, 9, 37, 23, 423, 611, 113, 119, 4307, 11747, 93, 51213, 5479, 172061}},
+{16347, 18, 49588, {1, 3, 3, 15, 5, 35, 9, 43, 423, 877, 1563, 3411, 4233, 6961, 22421, 7347, 39553, 199745}},
+{16348, 18, 49609, {1, 3, 1, 9, 15, 35, 85, 57, 151, 323, 1627, 27, 3603, 11475, 6561, 6091, 72099, 185321}},
+{16349, 18, 49617, {1, 1, 3, 15, 17, 21, 3, 119, 455, 147, 1077, 3955, 1355, 3083, 28217, 50745, 114445, 46563}},
+{16350, 18, 49645, {1, 1, 5, 3, 13, 11, 35, 185, 357, 447, 649, 139, 2847, 12011, 7753, 671, 113693, 236281}},
+{16351, 18, 49646, {1, 3, 5, 1, 19, 27, 117, 195, 67, 259, 1073, 81, 5527, 6829, 26675, 60029, 8159, 13553}},
+{16352, 18, 49654, {1, 3, 3, 7, 27, 63, 115, 191, 431, 191, 1547, 2261, 6527, 13459, 12773, 37485, 114847, 61709}},
+{16353, 18, 49697, {1, 1, 3, 1, 29, 63, 47, 77, 415, 191, 325, 2487, 7457, 13721, 1573, 15037, 31941, 226651}},
+{16354, 18, 49718, {1, 1, 5, 11, 29, 59, 49, 209, 195, 901, 691, 3167, 7471, 11609, 30135, 22067, 71395, 248151}},
+{16355, 18, 49741, {1, 3, 7, 11, 7, 43, 55, 69, 289, 735, 1479, 139, 1395, 6463, 19827, 52151, 18963, 103367}},
+{16356, 18, 49754, {1, 3, 5, 5, 27, 45, 77, 79, 89, 79, 913, 1437, 3337, 8861, 5477, 46195, 105869, 242599}},
+{16357, 18, 49756, {1, 3, 5, 3, 3, 27, 103, 207, 233, 995, 1173, 1143, 3517, 3207, 8373, 45145, 79687, 150107}},
+{16358, 18, 49833, {1, 3, 7, 3, 7, 37, 1, 137, 45, 479, 861, 3863, 4249, 3075, 23639, 12531, 118473, 255805}},
+{16359, 18, 49834, {1, 1, 1, 9, 7, 23, 125, 57, 347, 215, 1749, 3029, 97, 14715, 16213, 29291, 104725, 92043}},
+{16360, 18, 49879, {1, 3, 3, 15, 31, 39, 111, 97, 369, 675, 1471, 3889, 6437, 1499, 13325, 46141, 121087, 202493}},
+{16361, 18, 49942, {1, 1, 1, 15, 15, 21, 3, 167, 251, 793, 1291, 427, 6407, 15521, 15441, 20071, 54513, 200485}},
+{16362, 18, 49946, {1, 1, 7, 11, 27, 47, 123, 195, 241, 385, 609, 2323, 1221, 815, 279, 28553, 17663, 180977}},
+{16363, 18, 49982, {1, 1, 3, 15, 23, 53, 21, 19, 329, 903, 561, 1539, 2829, 13037, 29867, 27825, 84005, 14853}},
+{16364, 18, 49994, {1, 1, 5, 1, 21, 27, 103, 99, 31, 829, 515, 3949, 3635, 935, 2127, 56659, 123477, 47003}},
+{16365, 18, 50001, {1, 3, 1, 11, 17, 63, 51, 15, 319, 539, 55, 2561, 1109, 16115, 23387, 20051, 120867, 4019}},
+{16366, 18, 50023, {1, 3, 3, 7, 31, 11, 45, 251, 209, 21, 553, 887, 393, 15183, 14735, 13163, 123681, 15013}},
+{16367, 18, 50047, {1, 3, 1, 7, 21, 41, 105, 39, 213, 477, 985, 2375, 937, 7099, 8867, 36519, 60503, 143225}},
+{16368, 18, 50120, {1, 3, 1, 1, 19, 55, 73, 171, 379, 271, 791, 2477, 5381, 1703, 3805, 37227, 55553, 34549}},
+{16369, 18, 50133, {1, 1, 5, 5, 29, 51, 127, 111, 209, 663, 975, 2293, 8155, 11263, 7891, 15463, 74889, 227403}},
+{16370, 18, 50137, {1, 3, 5, 1, 15, 1, 115, 221, 23, 247, 1597, 87, 7513, 3329, 14491, 8961, 78147, 89499}},
+{16371, 18, 50140, {1, 3, 5, 15, 25, 23, 99, 85, 189, 487, 1559, 427, 6179, 5291, 27279, 65507, 77347, 177073}},
+{16372, 18, 50156, {1, 3, 7, 1, 23, 35, 7, 89, 455, 659, 2039, 3115, 4057, 139, 1269, 62319, 13629, 201571}},
+{16373, 18, 50199, {1, 1, 1, 5, 9, 47, 55, 171, 213, 813, 135, 1545, 1421, 4055, 26697, 18889, 57653, 201369}},
+{16374, 18, 50205, {1, 3, 1, 11, 9, 45, 5, 69, 261, 907, 1229, 1371, 1867, 1771, 17309, 41759, 119129, 43521}},
+{16375, 18, 50215, {1, 1, 7, 5, 11, 27, 9, 237, 405, 53, 1359, 3665, 169, 3547, 23331, 14353, 106627, 219711}},
+{16376, 18, 50216, {1, 3, 3, 5, 17, 23, 9, 41, 81, 601, 1447, 3225, 6721, 161, 16109, 54331, 111273, 81061}},
+{16377, 18, 50224, {1, 1, 5, 7, 7, 37, 71, 13, 505, 671, 425, 2771, 1131, 1259, 13715, 45779, 114839, 217499}},
+{16378, 18, 50229, {1, 1, 1, 5, 9, 51, 85, 223, 117, 403, 1117, 723, 2465, 11947, 7495, 62991, 17825, 169147}},
+{16379, 18, 50233, {1, 1, 3, 13, 5, 57, 47, 35, 313, 901, 365, 1265, 137, 6335, 31419, 38497, 93285, 177187}},
+{16380, 18, 50251, {1, 3, 5, 5, 7, 9, 21, 109, 47, 557, 1449, 3459, 5175, 5135, 727, 55425, 60593, 86571}},
+{16381, 18, 50281, {1, 3, 7, 5, 1, 17, 119, 239, 347, 75, 1345, 2765, 1491, 16297, 25233, 60401, 85433, 59287}},
+{16382, 18, 50326, {1, 1, 5, 5, 19, 57, 41, 53, 161, 475, 1791, 3617, 1651, 15227, 30357, 63547, 69937, 246473}},
+{16383, 18, 50332, {1, 3, 7, 11, 11, 43, 79, 79, 195, 437, 39, 1259, 6041, 14989, 6615, 58747, 43583, 246979}},
+{16384, 18, 50348, {1, 1, 7, 9, 11, 13, 49, 133, 365, 931, 1089, 713, 5997, 8759, 5789, 61329, 22639, 149845}},
+{16385, 18, 50359, {1, 3, 7, 13, 9, 3, 11, 253, 339, 883, 1933, 443, 4265, 14165, 15845, 12625, 1453, 70961}},
+{16386, 18, 50374, {1, 1, 7, 13, 21, 35, 113, 83, 473, 719, 1601, 1727, 3715, 631, 28075, 17725, 11393, 116883}},
+{16387, 18, 50404, {1, 3, 7, 7, 7, 13, 117, 83, 365, 529, 1297, 3903, 2633, 9617, 15819, 38137, 49065, 189445}},
+{16388, 18, 50443, {1, 1, 1, 7, 11, 41, 107, 33, 381, 395, 1993, 2819, 3301, 7543, 6787, 27437, 113681, 132403}},
+{16389, 18, 50488, {1, 1, 1, 1, 3, 59, 91, 235, 67, 987, 1587, 1119, 5851, 13201, 1125, 49709, 381, 183295}},
+{16390, 18, 50493, {1, 3, 5, 9, 3, 33, 45, 187, 455, 151, 823, 565, 5725, 1927, 25387, 61785, 130271, 134083}},
+{16391, 18, 50505, {1, 1, 7, 5, 15, 25, 63, 231, 133, 401, 307, 2961, 4249, 2639, 10207, 8349, 8203, 72783}},
+{16392, 18, 50511, {1, 1, 5, 13, 19, 27, 43, 153, 165, 815, 1385, 3041, 853, 7683, 1035, 13255, 69779, 128765}},
+{16393, 18, 50525, {1, 1, 1, 3, 31, 61, 97, 15, 327, 717, 841, 643, 4781, 11609, 14181, 14625, 75369, 251015}},
+{16394, 18, 50542, {1, 1, 5, 11, 17, 33, 9, 45, 111, 91, 1923, 967, 5649, 13647, 30497, 2925, 18395, 255089}},
+{16395, 18, 50550, {1, 3, 3, 1, 3, 55, 33, 29, 101, 211, 1731, 2351, 7389, 14935, 29703, 60031, 122305, 174323}},
+{16396, 18, 50560, {1, 1, 1, 3, 13, 23, 79, 117, 367, 267, 143, 1537, 3159, 2303, 9653, 12029, 2841, 226971}},
+{16397, 18, 50570, {1, 1, 1, 13, 19, 57, 103, 159, 315, 895, 1879, 2153, 1901, 7635, 14145, 56495, 6203, 151203}},
+{16398, 18, 50587, {1, 3, 3, 11, 31, 11, 75, 5, 419, 963, 1809, 3751, 7291, 12697, 2841, 17965, 91707, 80361}},
+{16399, 18, 50593, {1, 1, 7, 7, 5, 23, 29, 199, 413, 501, 19, 697, 6523, 3997, 4945, 59817, 127613, 220399}},
+{16400, 18, 50611, {1, 1, 7, 5, 1, 17, 51, 9, 183, 689, 325, 2391, 2095, 1907, 10325, 51045, 20097, 33719}},
+{16401, 18, 50649, {1, 3, 5, 11, 3, 33, 45, 221, 325, 7, 253, 1323, 4959, 14067, 10035, 39463, 123171, 194581}},
+{16402, 18, 50656, {1, 1, 3, 3, 15, 45, 25, 57, 357, 907, 1249, 3279, 2631, 9209, 7857, 58233, 29049, 173859}},
+{16403, 18, 50685, {1, 3, 3, 9, 29, 39, 105, 55, 295, 583, 825, 1777, 2403, 9489, 9079, 24855, 18155, 252733}},
+{16404, 18, 50686, {1, 1, 5, 15, 5, 63, 77, 215, 287, 743, 1937, 2103, 2673, 15487, 27855, 46683, 120215, 89721}},
+{16405, 18, 50692, {1, 3, 3, 5, 27, 1, 45, 19, 309, 679, 1405, 415, 6107, 13567, 5803, 61941, 130285, 51847}},
+{16406, 18, 50702, {1, 3, 1, 15, 23, 49, 47, 113, 401, 825, 1299, 2711, 6509, 12225, 16147, 20615, 121305, 121937}},
+{16407, 18, 50704, {1, 3, 5, 5, 31, 41, 31, 57, 385, 919, 593, 1371, 6773, 12099, 23767, 17663, 128321, 188921}},
+{16408, 18, 50709, {1, 1, 3, 15, 5, 41, 17, 7, 479, 143, 549, 1827, 8107, 14775, 28817, 12297, 119893, 191297}},
+{16409, 18, 50720, {1, 3, 7, 5, 29, 61, 27, 123, 269, 223, 121, 1745, 3513, 1989, 9759, 8129, 78933, 40085}},
+{16410, 18, 50726, {1, 1, 5, 13, 23, 49, 125, 225, 479, 123, 41, 2359, 4443, 4729, 31717, 3139, 3869, 118803}},
+{16411, 18, 50729, {1, 3, 3, 3, 15, 7, 7, 87, 415, 95, 1799, 2009, 4711, 15635, 21997, 47201, 16815, 99815}},
+{16412, 18, 50737, {1, 3, 3, 1, 31, 57, 73, 31, 423, 363, 1469, 2411, 6449, 15275, 14189, 51079, 130201, 130181}},
+{16413, 18, 50758, {1, 1, 5, 3, 3, 31, 107, 11, 355, 647, 1463, 3019, 3263, 13727, 10461, 26577, 4439, 132737}},
+{16414, 18, 50772, {1, 1, 1, 7, 13, 55, 31, 227, 71, 563, 1467, 3733, 725, 3443, 19279, 4111, 35749, 62275}},
+{16415, 18, 50849, {1, 3, 3, 15, 9, 17, 61, 95, 43, 583, 1381, 1285, 2655, 9213, 27551, 16237, 29569, 216879}},
+{16416, 18, 50850, {1, 1, 1, 3, 29, 3, 87, 193, 53, 599, 1581, 907, 4381, 8697, 27299, 40259, 122653, 43559}},
+{16417, 18, 50881, {1, 3, 5, 3, 15, 49, 21, 27, 35, 353, 1281, 3253, 7339, 9333, 25253, 35035, 30379, 87387}},
+{16418, 18, 50901, {1, 1, 1, 15, 7, 27, 69, 41, 45, 729, 1005, 3495, 1445, 7421, 27443, 29609, 70105, 93883}},
+{16419, 18, 50906, {1, 1, 7, 7, 1, 41, 15, 149, 107, 121, 639, 3703, 3397, 1727, 14165, 2845, 78531, 175767}},
+{16420, 18, 50915, {1, 3, 7, 15, 27, 17, 121, 175, 399, 551, 1889, 2283, 4343, 3633, 653, 3267, 101901, 162157}},
+{16421, 18, 50961, {1, 3, 3, 15, 23, 41, 97, 251, 435, 955, 69, 509, 8001, 11783, 7397, 7587, 127089, 15391}},
+{16422, 18, 50992, {1, 3, 5, 5, 25, 25, 63, 25, 203, 655, 2039, 2545, 5405, 1377, 30543, 65531, 122825, 6853}},
+{16423, 18, 50997, {1, 1, 7, 9, 9, 43, 73, 195, 465, 497, 1085, 3821, 7115, 7513, 21913, 32499, 96467, 181905}},
+{16424, 18, 51001, {1, 1, 3, 7, 29, 29, 63, 131, 409, 423, 687, 2549, 7367, 6867, 2685, 29137, 61845, 194409}},
+{16425, 18, 51004, {1, 3, 7, 7, 3, 23, 47, 31, 121, 629, 1771, 2387, 861, 2269, 29565, 19599, 18051, 121531}},
+{16426, 18, 51033, {1, 1, 1, 3, 21, 13, 109, 105, 163, 433, 521, 3467, 6225, 3705, 30605, 3265, 119313, 2535}},
+{16427, 18, 51045, {1, 3, 5, 3, 25, 25, 89, 177, 415, 67, 361, 3317, 6411, 4857, 23249, 41959, 59931, 35797}},
+{16428, 18, 51052, {1, 3, 7, 15, 5, 37, 37, 65, 71, 13, 1621, 2217, 3723, 2113, 23755, 46521, 48091, 44307}},
+{16429, 18, 51064, {1, 1, 5, 13, 5, 5, 63, 75, 61, 443, 1663, 3239, 7717, 2623, 5723, 42673, 8519, 58773}},
+{16430, 18, 51085, {1, 1, 3, 1, 29, 13, 35, 61, 391, 517, 1007, 17, 2519, 7121, 20095, 33449, 21397, 103787}},
+{16431, 18, 51127, {1, 1, 5, 1, 9, 45, 49, 151, 39, 347, 1821, 2687, 1551, 12117, 29429, 40963, 77795, 20941}},
+{16432, 18, 51139, {1, 1, 5, 3, 13, 49, 107, 105, 201, 601, 1335, 2389, 6837, 11123, 22985, 62705, 59057, 128333}},
+{16433, 18, 51153, {1, 3, 3, 13, 5, 3, 21, 103, 481, 621, 2037, 2963, 425, 4685, 27475, 24363, 116419, 171743}},
+{16434, 18, 51181, {1, 3, 3, 5, 27, 27, 5, 91, 245, 421, 795, 1869, 6455, 4463, 23467, 24039, 69681, 262127}},
+{16435, 18, 51182, {1, 3, 1, 11, 11, 5, 31, 253, 469, 593, 877, 2041, 4615, 1541, 11823, 58525, 128689, 95985}},
+{16436, 18, 51194, {1, 3, 5, 13, 31, 35, 115, 73, 97, 213, 1499, 1371, 4239, 7897, 3987, 4833, 115043, 222743}},
+{16437, 18, 51196, {1, 3, 3, 5, 31, 15, 17, 233, 137, 521, 1721, 1913, 1881, 13457, 10733, 61527, 19825, 192601}},
+{16438, 18, 51200, {1, 3, 1, 3, 11, 21, 81, 77, 377, 915, 321, 3925, 867, 5491, 4707, 37307, 52141, 29155}},
+{16439, 18, 51239, {1, 1, 5, 1, 13, 51, 97, 161, 295, 159, 1717, 3817, 4687, 1907, 2655, 60577, 73867, 161851}},
+{16440, 18, 51240, {1, 1, 3, 13, 21, 31, 33, 145, 375, 377, 1429, 1981, 4851, 9047, 2685, 49037, 67399, 124243}},
+{16441, 18, 51254, {1, 1, 7, 13, 1, 55, 65, 147, 471, 277, 1585, 3949, 1885, 1635, 15687, 46367, 120931, 192097}},
+{16442, 18, 51260, {1, 1, 7, 9, 13, 27, 33, 41, 377, 863, 1297, 181, 2685, 11285, 3961, 63201, 59757, 70231}},
+{16443, 18, 51342, {1, 1, 3, 15, 29, 3, 79, 25, 147, 683, 1563, 805, 5891, 3355, 20113, 48261, 38195, 14589}},
+{16444, 18, 51370, {1, 1, 7, 11, 9, 15, 21, 33, 47, 923, 1291, 4001, 203, 305, 21575, 41915, 74769, 114921}},
+{16445, 18, 51372, {1, 3, 7, 11, 15, 1, 75, 173, 473, 493, 291, 811, 931, 10731, 9855, 57891, 81575, 250565}},
+{16446, 18, 51377, {1, 3, 3, 3, 31, 31, 71, 141, 389, 661, 71, 3245, 6827, 9219, 26607, 50511, 94783, 130785}},
+{16447, 18, 51398, {1, 1, 7, 3, 9, 15, 67, 141, 293, 779, 3, 3311, 7063, 13709, 29715, 55227, 11043, 150343}},
+{16448, 18, 51402, {1, 3, 3, 3, 21, 9, 45, 111, 207, 715, 345, 1345, 3079, 3851, 23709, 33919, 108213, 25353}},
+{16449, 18, 51407, {1, 3, 5, 13, 7, 3, 35, 95, 397, 397, 1159, 2759, 5233, 16237, 12469, 29543, 39133, 64429}},
+{16450, 18, 51410, {1, 1, 5, 13, 19, 35, 9, 7, 153, 843, 2025, 1379, 3361, 15889, 7411, 26399, 106295, 19851}},
+{16451, 18, 51412, {1, 3, 1, 1, 21, 15, 71, 143, 279, 431, 487, 967, 4445, 11969, 16671, 48891, 59605, 230607}},
+{16452, 18, 51419, {1, 3, 5, 1, 25, 63, 23, 143, 221, 805, 377, 1441, 1971, 1985, 10055, 35991, 115873, 223455}},
+{16453, 18, 51428, {1, 3, 1, 7, 21, 57, 1, 185, 117, 75, 1623, 3805, 2385, 10245, 29009, 59149, 130219, 114763}},
+{16454, 18, 51431, {1, 3, 1, 13, 19, 13, 105, 241, 47, 597, 1725, 2579, 3785, 1667, 12427, 62623, 60883, 189977}},
+{16455, 18, 51460, {1, 3, 5, 13, 1, 55, 59, 133, 263, 415, 1013, 139, 3037, 13661, 15303, 27279, 84095, 184807}},
+{16456, 18, 51475, {1, 3, 1, 11, 7, 45, 3, 179, 315, 639, 875, 3299, 5221, 8463, 17507, 59673, 73865, 98867}},
+{16457, 18, 51477, {1, 3, 7, 7, 3, 3, 53, 233, 219, 519, 585, 3029, 3623, 9559, 2251, 43735, 121513, 208007}},
+{16458, 18, 51478, {1, 3, 1, 3, 17, 47, 47, 145, 445, 541, 163, 2653, 165, 7213, 3311, 57335, 43967, 191841}},
+{16459, 18, 51482, {1, 3, 5, 5, 7, 47, 39, 119, 13, 727, 887, 3743, 3807, 15267, 3977, 52833, 14851, 61851}},
+{16460, 18, 51511, {1, 1, 3, 5, 9, 9, 107, 119, 501, 723, 1965, 3093, 6947, 1783, 11287, 24243, 14005, 106677}},
+{16461, 18, 51518, {1, 3, 3, 11, 11, 29, 85, 243, 359, 195, 221, 1767, 6969, 15275, 20853, 26921, 40903, 29849}},
+{16462, 18, 51568, {1, 3, 1, 5, 31, 3, 11, 247, 371, 339, 1263, 119, 791, 7425, 18879, 11333, 34359, 178929}},
+{16463, 18, 51607, {1, 1, 3, 7, 23, 15, 121, 203, 441, 499, 779, 1971, 339, 8737, 6859, 32417, 97073, 256143}},
+{16464, 18, 51618, {1, 1, 5, 11, 3, 23, 25, 51, 407, 677, 97, 281, 427, 3671, 7939, 54485, 3967, 210199}},
+{16465, 18, 51630, {1, 1, 5, 9, 5, 45, 23, 171, 255, 967, 313, 3881, 6039, 10545, 3591, 51985, 37145, 99291}},
+{16466, 18, 51655, {1, 1, 5, 7, 3, 13, 55, 147, 83, 369, 1707, 1919, 491, 11507, 29559, 29169, 65897, 80587}},
+{16467, 18, 51673, {1, 1, 3, 13, 31, 41, 41, 237, 245, 109, 969, 1797, 8169, 6351, 3657, 9655, 109201, 245117}},
+{16468, 18, 51683, {1, 3, 7, 5, 17, 23, 17, 219, 473, 1, 865, 1949, 7589, 10107, 3035, 19903, 79579, 138695}},
+{16469, 18, 51709, {1, 3, 1, 15, 13, 57, 109, 117, 277, 773, 31, 3807, 7615, 2453, 22655, 51513, 108367, 248473}},
+{16470, 18, 51716, {1, 1, 7, 11, 17, 59, 27, 167, 63, 931, 13, 3721, 1789, 7621, 31093, 27541, 37283, 35193}},
+{16471, 18, 51774, {1, 3, 3, 11, 13, 9, 7, 85, 45, 151, 1865, 4049, 4433, 9517, 231, 30733, 93701, 126585}},
+{16472, 18, 51829, {1, 3, 1, 13, 21, 33, 19, 87, 77, 425, 351, 1163, 7453, 12567, 24615, 35563, 127643, 28625}},
+{16473, 18, 51830, {1, 1, 3, 11, 7, 35, 27, 47, 465, 595, 985, 573, 2541, 7841, 14749, 43761, 26699, 135895}},
+{16474, 18, 51839, {1, 1, 1, 7, 25, 51, 93, 237, 355, 575, 1, 443, 5697, 1997, 28801, 11621, 62531, 88449}},
+{16475, 18, 51849, {1, 1, 1, 9, 23, 35, 23, 91, 161, 601, 1401, 2187, 6283, 10711, 21277, 47771, 12589, 176625}},
+{16476, 18, 51869, {1, 3, 3, 5, 13, 23, 33, 65, 213, 835, 539, 2487, 273, 6113, 18327, 52493, 17571, 160909}},
+{16477, 18, 51886, {1, 3, 1, 5, 25, 9, 117, 201, 457, 331, 1455, 439, 4891, 5515, 21701, 9343, 29085, 120299}},
+{16478, 18, 51905, {1, 1, 1, 5, 29, 7, 43, 125, 155, 43, 1949, 2901, 7293, 13683, 18289, 16873, 27899, 168631}},
+{16479, 18, 51906, {1, 1, 7, 3, 29, 33, 53, 137, 301, 27, 1101, 837, 5843, 13167, 6073, 49083, 120031, 45065}},
+{16480, 18, 51915, {1, 3, 5, 1, 31, 47, 127, 185, 279, 603, 1699, 1693, 3263, 9055, 3525, 46065, 79305, 19949}},
+{16481, 18, 51948, {1, 3, 7, 9, 17, 47, 25, 191, 369, 877, 1477, 3041, 5123, 1393, 5061, 1755, 61051, 55299}},
+{16482, 18, 51988, {1, 1, 5, 13, 13, 7, 89, 141, 251, 321, 1515, 2677, 5103, 12901, 29875, 165, 15073, 47795}},
+{16483, 18, 51998, {1, 3, 1, 7, 1, 37, 55, 173, 191, 981, 685, 4003, 6319, 3037, 30637, 11955, 81015, 89239}},
+{16484, 18, 52004, {1, 3, 5, 5, 1, 5, 55, 251, 229, 153, 425, 2793, 6779, 15797, 10087, 7573, 121789, 115479}},
+{16485, 18, 52026, {1, 3, 7, 13, 23, 39, 23, 21, 55, 543, 1539, 3055, 7825, 2865, 8967, 56719, 117219, 142137}},
+{16486, 18, 52036, {1, 1, 5, 13, 1, 29, 81, 11, 509, 61, 1681, 1911, 829, 10583, 7105, 42047, 128579, 48891}},
+{16487, 18, 52082, {1, 1, 3, 13, 7, 27, 81, 89, 129, 239, 309, 1353, 5265, 12255, 29391, 1659, 114857, 43551}},
+{16488, 18, 52127, {1, 1, 7, 13, 23, 15, 9, 93, 35, 839, 549, 1793, 4693, 13295, 10603, 18179, 33141, 239555}},
+{16489, 18, 52145, {1, 3, 1, 7, 17, 5, 11, 193, 143, 579, 1199, 1239, 4503, 15855, 23345, 34789, 59427, 235319}},
+{16490, 18, 52157, {1, 3, 5, 3, 25, 63, 11, 203, 415, 135, 261, 1843, 3409, 4605, 15213, 28537, 75787, 100007}},
+{16491, 18, 52165, {1, 1, 1, 5, 3, 37, 29, 157, 213, 235, 959, 1087, 2843, 10265, 28233, 14281, 25867, 204031}},
+{16492, 18, 52193, {1, 3, 3, 7, 19, 49, 55, 111, 253, 823, 533, 941, 2509, 5595, 9267, 28457, 84301, 165385}},
+{16493, 18, 52211, {1, 3, 5, 9, 5, 59, 13, 85, 339, 889, 597, 3517, 7001, 5525, 25451, 13855, 19033, 182677}},
+{16494, 18, 52213, {1, 3, 1, 15, 23, 29, 31, 105, 353, 825, 1977, 2013, 131, 1969, 427, 16465, 90817, 257931}},
+{16495, 18, 52218, {1, 3, 1, 3, 29, 9, 109, 243, 321, 15, 1479, 787, 4667, 13925, 7347, 7977, 105585, 143959}},
+{16496, 18, 52220, {1, 1, 7, 15, 5, 45, 11, 95, 215, 719, 827, 77, 7263, 5705, 26971, 26845, 82127, 2849}},
+{16497, 18, 52238, {1, 1, 7, 9, 5, 43, 103, 133, 203, 127, 2021, 3609, 6971, 13447, 27089, 62287, 104391, 147901}},
+{16498, 18, 52240, {1, 3, 1, 3, 3, 41, 61, 101, 381, 985, 1795, 2465, 2899, 13517, 23953, 38831, 43569, 128643}},
+{16499, 18, 52243, {1, 3, 5, 5, 9, 49, 13, 7, 215, 85, 1203, 647, 6627, 1861, 17901, 40203, 13007, 84975}},
+{16500, 18, 52250, {1, 3, 5, 15, 31, 13, 55, 89, 397, 641, 1599, 3379, 3401, 4173, 5757, 42945, 59269, 106891}},
+{16501, 18, 52279, {1, 1, 5, 13, 25, 17, 45, 27, 151, 725, 819, 581, 3675, 3983, 9499, 47511, 128039, 56825}},
+{16502, 18, 52285, {1, 1, 5, 1, 7, 11, 65, 63, 301, 927, 409, 3729, 7227, 12849, 17855, 36527, 2907, 66819}},
+{16503, 18, 52306, {1, 3, 3, 3, 29, 35, 39, 1, 349, 429, 805, 3639, 3909, 4211, 10393, 36223, 72543, 136375}},
+{16504, 18, 52370, {1, 1, 1, 9, 23, 27, 25, 213, 195, 455, 883, 3357, 7277, 9061, 14103, 6005, 35031, 72703}},
+{16505, 18, 52432, {1, 1, 3, 3, 11, 17, 19, 181, 25, 775, 897, 3809, 2031, 13017, 7505, 37469, 107335, 174309}},
+{16506, 18, 52457, {1, 1, 7, 13, 7, 1, 57, 27, 159, 465, 533, 3409, 3863, 14001, 8011, 25873, 14971, 67243}},
+{16507, 18, 52466, {1, 1, 3, 11, 19, 5, 11, 19, 75, 489, 1879, 1539, 6563, 4729, 15605, 35203, 47993, 110139}},
+{16508, 18, 52514, {1, 3, 5, 9, 23, 17, 67, 89, 379, 849, 1667, 955, 1537, 11781, 9791, 46959, 79481, 237335}},
+{16509, 18, 52557, {1, 1, 7, 9, 3, 31, 127, 145, 29, 35, 463, 4009, 4427, 16215, 12093, 50085, 51259, 45091}},
+{16510, 18, 52560, {1, 1, 5, 9, 25, 3, 1, 131, 221, 951, 117, 3227, 797, 7617, 13243, 50139, 26737, 105875}},
+{16511, 18, 52585, {1, 1, 5, 3, 11, 5, 7, 155, 211, 865, 27, 3943, 7923, 9973, 23233, 37399, 89951, 106555}},
+{16512, 18, 52586, {1, 1, 3, 13, 21, 61, 77, 121, 227, 527, 1641, 3535, 3801, 7221, 6423, 9179, 114935, 33373}},
+{16513, 18, 52603, {1, 3, 7, 5, 31, 7, 123, 159, 367, 369, 1905, 1689, 6773, 675, 30289, 54149, 71469, 232835}},
+{16514, 18, 52650, {1, 1, 1, 13, 9, 23, 83, 237, 251, 941, 781, 1489, 6037, 6001, 15909, 50527, 60143, 238499}},
+{16515, 18, 52672, {1, 3, 1, 11, 5, 7, 103, 43, 413, 247, 535, 2107, 1801, 16381, 32529, 2355, 39143, 71281}},
+{16516, 18, 52681, {1, 1, 7, 5, 5, 31, 19, 11, 191, 643, 923, 1661, 2215, 11817, 23937, 62907, 128301, 21459}},
+{16517, 18, 52692, {1, 3, 7, 15, 1, 51, 123, 61, 99, 751, 1819, 1191, 3865, 8765, 7131, 33965, 55697, 87059}},
+{16518, 18, 52735, {1, 1, 5, 13, 5, 57, 41, 103, 135, 207, 517, 3995, 2537, 15705, 9123, 26193, 30653, 190549}},
+{16519, 18, 52760, {1, 1, 3, 1, 23, 5, 109, 209, 407, 143, 943, 2325, 8087, 559, 23675, 31815, 43805, 67497}},
+{16520, 18, 52772, {1, 1, 5, 9, 25, 33, 13, 21, 93, 357, 1551, 739, 5595, 16285, 30761, 54075, 75505, 177333}},
+{16521, 18, 52781, {1, 3, 5, 11, 17, 59, 31, 249, 95, 561, 1849, 4061, 5577, 2607, 30083, 59033, 56697, 89761}},
+{16522, 18, 52793, {1, 1, 3, 13, 27, 57, 9, 17, 323, 813, 1197, 2775, 3443, 9523, 24509, 12129, 89697, 169043}},
+{16523, 18, 52796, {1, 3, 5, 13, 17, 51, 91, 1, 105, 345, 829, 1365, 2755, 7197, 26655, 1303, 52223, 133893}},
+{16524, 18, 52807, {1, 1, 7, 1, 31, 3, 51, 21, 327, 851, 153, 3329, 3393, 8489, 5879, 25035, 124403, 172657}},
+{16525, 18, 52821, {1, 1, 1, 5, 3, 21, 61, 29, 99, 343, 621, 3163, 3763, 9347, 7691, 34667, 24555, 125819}},
+{16526, 18, 52849, {1, 1, 1, 1, 3, 17, 83, 191, 83, 315, 1091, 589, 5081, 4611, 15521, 25791, 9103, 13741}},
+{16527, 18, 52866, {1, 3, 5, 3, 7, 53, 9, 227, 399, 857, 673, 3027, 5045, 5573, 7467, 4813, 99659, 142845}},
+{16528, 18, 52868, {1, 1, 5, 11, 23, 37, 71, 151, 279, 879, 601, 2391, 7091, 12669, 10203, 11747, 9613, 248261}},
+{16529, 18, 52872, {1, 1, 3, 3, 29, 25, 33, 25, 1, 683, 1475, 457, 3641, 14219, 20105, 21449, 6903, 43819}},
+{16530, 18, 52875, {1, 1, 7, 7, 5, 1, 73, 79, 357, 971, 699, 1105, 1683, 1687, 32677, 62467, 47671, 88149}},
+{16531, 18, 52886, {1, 3, 1, 15, 23, 13, 93, 75, 307, 81, 1607, 1333, 6969, 7747, 27135, 58941, 26355, 5565}},
+{16532, 18, 52890, {1, 1, 7, 3, 27, 35, 85, 195, 421, 999, 1721, 2029, 283, 13995, 21649, 7519, 73357, 193171}},
+{16533, 18, 52896, {1, 3, 7, 15, 17, 63, 21, 187, 475, 671, 1681, 2731, 8169, 3327, 19789, 53295, 43219, 6949}},
+{16534, 18, 52925, {1, 1, 7, 13, 9, 33, 47, 115, 295, 123, 1293, 1627, 4261, 4503, 15925, 16521, 81759, 247089}},
+{16535, 18, 52931, {1, 3, 1, 13, 11, 15, 83, 129, 409, 465, 873, 1333, 7939, 973, 2753, 33727, 128975, 43333}},
+{16536, 18, 52937, {1, 3, 3, 3, 27, 59, 1, 137, 145, 29, 1189, 2615, 3249, 11197, 17165, 32313, 14065, 44199}},
+{16537, 18, 52938, {1, 3, 3, 11, 17, 49, 107, 111, 45, 963, 1129, 1775, 7671, 1495, 14531, 49743, 63321, 159841}},
+{16538, 18, 52952, {1, 1, 5, 9, 5, 11, 79, 99, 155, 347, 1777, 3793, 1765, 2319, 3135, 30237, 100845, 52689}},
+{16539, 18, 52979, {1, 3, 7, 13, 21, 57, 71, 207, 149, 161, 265, 991, 6967, 8905, 21581, 13921, 79201, 95667}},
+{16540, 18, 53013, {1, 3, 5, 15, 13, 53, 95, 81, 443, 161, 1071, 2749, 6637, 837, 15015, 62397, 33295, 112005}},
+{16541, 18, 53023, {1, 3, 1, 1, 31, 25, 37, 111, 79, 293, 249, 1523, 1509, 1993, 17167, 62939, 118281, 62699}},
+{16542, 18, 53027, {1, 3, 7, 7, 5, 33, 61, 179, 265, 405, 287, 1899, 437, 1609, 19617, 41093, 36341, 176593}},
+{16543, 18, 53033, {1, 1, 5, 3, 9, 33, 97, 45, 23, 807, 1575, 627, 7465, 4805, 11191, 35439, 69433, 47275}},
+{16544, 18, 53039, {1, 1, 1, 5, 1, 51, 51, 247, 453, 449, 1487, 141, 2501, 8039, 14749, 63733, 91963, 232951}},
+{16545, 18, 53041, {1, 3, 3, 13, 15, 7, 81, 211, 445, 15, 899, 835, 5163, 3403, 7367, 29963, 80413, 87209}},
+{16546, 18, 53048, {1, 3, 1, 11, 25, 43, 113, 139, 381, 391, 485, 1503, 4195, 10109, 13771, 35865, 50909, 224887}},
+{16547, 18, 53073, {1, 1, 7, 9, 9, 51, 21, 85, 137, 765, 951, 2453, 227, 9177, 1457, 47937, 84203, 118987}},
+{16548, 18, 53095, {1, 3, 5, 9, 1, 1, 21, 41, 133, 317, 519, 2249, 3453, 2957, 2029, 54737, 42515, 176017}},
+{16549, 18, 53099, {1, 3, 1, 7, 9, 27, 79, 193, 209, 281, 267, 1267, 7013, 13667, 13331, 32863, 5289, 15077}},
+{16550, 18, 53120, {1, 1, 5, 11, 29, 3, 3, 177, 75, 485, 1735, 3955, 4349, 7893, 13075, 58735, 8629, 78143}},
+{16551, 18, 53154, {1, 1, 7, 13, 3, 15, 15, 77, 7, 843, 1561, 461, 6817, 4363, 7861, 45697, 115663, 93789}},
+{16552, 18, 53168, {1, 1, 1, 7, 5, 35, 83, 213, 229, 383, 747, 337, 2589, 683, 18575, 42415, 74889, 227331}},
+{16553, 18, 53192, {1, 3, 5, 3, 17, 35, 57, 213, 247, 273, 689, 1889, 5667, 357, 4267, 11611, 20621, 159039}},
+{16554, 18, 53205, {1, 3, 3, 15, 7, 55, 25, 83, 293, 939, 1169, 2507, 3939, 7537, 2959, 40231, 124511, 181091}},
+{16555, 18, 53206, {1, 1, 5, 9, 31, 51, 67, 149, 509, 695, 449, 2761, 6597, 4741, 4205, 49177, 45599, 167807}},
+{16556, 18, 53234, {1, 1, 7, 15, 3, 7, 113, 71, 279, 885, 251, 2831, 855, 6673, 6511, 63861, 41109, 177119}},
+{16557, 18, 53246, {1, 1, 5, 3, 7, 23, 125, 11, 217, 1023, 549, 529, 3891, 10595, 13751, 37729, 113469, 110549}},
+{16558, 18, 53253, {1, 1, 3, 15, 21, 9, 13, 63, 93, 635, 659, 2837, 6303, 10083, 10107, 27859, 33891, 181229}},
+{16559, 18, 53263, {1, 1, 7, 3, 3, 43, 5, 149, 353, 353, 565, 2441, 7113, 6493, 30355, 17887, 110787, 187199}},
+{16560, 18, 53275, {1, 1, 3, 7, 19, 43, 99, 63, 169, 743, 185, 3817, 6677, 5549, 1609, 24701, 98669, 233701}},
+{16561, 18, 53313, {1, 1, 1, 1, 21, 49, 73, 169, 223, 551, 553, 917, 4705, 14951, 14031, 19753, 96205, 131755}},
+{16562, 18, 53331, {1, 1, 3, 3, 17, 49, 51, 249, 293, 921, 435, 2915, 3125, 3487, 11417, 35043, 29543, 35933}},
+{16563, 18, 53349, {1, 1, 3, 9, 23, 43, 73, 151, 379, 911, 671, 151, 955, 11885, 28795, 23967, 117135, 137985}},
+{16564, 18, 53367, {1, 1, 3, 7, 29, 3, 51, 231, 59, 227, 443, 3533, 7785, 12535, 25725, 7451, 9391, 239281}},
+{16565, 18, 53383, {1, 3, 3, 9, 17, 37, 91, 195, 5, 843, 313, 1417, 1207, 3225, 15949, 34023, 1275, 221057}},
+{16566, 18, 53392, {1, 1, 3, 15, 3, 51, 111, 135, 63, 495, 1967, 2151, 197, 10913, 20705, 1021, 68431, 67119}},
+{16567, 18, 53404, {1, 1, 5, 3, 7, 29, 87, 219, 273, 267, 1317, 797, 6723, 947, 29867, 32571, 12337, 234715}},
+{16568, 18, 53407, {1, 3, 5, 15, 1, 9, 91, 63, 97, 107, 451, 4025, 233, 7803, 17031, 7669, 49417, 256611}},
+{16569, 18, 53411, {1, 1, 7, 3, 17, 17, 45, 197, 227, 133, 799, 411, 6739, 8037, 19553, 53009, 25201, 107625}},
+{16570, 18, 53417, {1, 3, 5, 7, 3, 39, 25, 95, 197, 127, 45, 173, 3305, 6575, 19633, 54919, 35373, 59509}},
+{16571, 18, 53425, {1, 3, 3, 3, 9, 1, 107, 211, 217, 715, 311, 3641, 8055, 1, 9017, 29329, 128467, 46911}},
+{16572, 18, 53443, {1, 1, 1, 7, 1, 13, 13, 79, 259, 533, 1761, 449, 3363, 3061, 26227, 50407, 122951, 261425}},
+{16573, 18, 53469, {1, 3, 5, 5, 29, 19, 41, 7, 25, 203, 587, 3321, 655, 15877, 10423, 41481, 70325, 165527}},
+{16574, 18, 53480, {1, 3, 5, 9, 11, 45, 91, 253, 7, 137, 795, 2379, 4527, 1677, 5081, 6523, 97245, 3691}},
+{16575, 18, 53508, {1, 3, 7, 9, 25, 43, 125, 243, 391, 785, 651, 3245, 7979, 14689, 15443, 40501, 5519, 96551}},
+{16576, 18, 53535, {1, 1, 1, 3, 25, 53, 45, 159, 47, 701, 1655, 2019, 2355, 11213, 12403, 42291, 44925, 72689}},
+{16577, 18, 53536, {1, 1, 1, 5, 21, 19, 77, 31, 3, 161, 149, 3759, 6331, 12311, 7021, 1117, 12459, 134821}},
+{16578, 18, 53542, {1, 1, 3, 9, 9, 59, 23, 255, 437, 625, 719, 3727, 7157, 1889, 31523, 59127, 114143, 174179}},
+{16579, 18, 53563, {1, 1, 1, 15, 23, 7, 47, 137, 77, 519, 1681, 1159, 6121, 14789, 21343, 43101, 44709, 179863}},
+{16580, 18, 53577, {1, 3, 1, 3, 17, 27, 103, 11, 327, 735, 1949, 3719, 811, 2267, 13187, 29747, 98433, 242021}},
+{16581, 18, 53591, {1, 1, 7, 15, 15, 63, 25, 203, 109, 585, 409, 4093, 6669, 2381, 30721, 58975, 17235, 257959}},
+{16582, 18, 53607, {1, 3, 3, 5, 5, 19, 27, 69, 69, 193, 693, 1169, 6321, 3425, 9285, 28019, 128343, 185165}},
+{16583, 18, 53626, {1, 1, 3, 9, 7, 51, 113, 93, 81, 385, 1811, 2601, 2065, 1029, 24515, 7199, 26425, 174283}},
+{16584, 18, 53628, {1, 1, 1, 5, 29, 55, 93, 219, 281, 887, 891, 2763, 6083, 9627, 18559, 21329, 73887, 83699}},
+{16585, 18, 53638, {1, 1, 1, 3, 21, 31, 49, 173, 15, 177, 1001, 3453, 5623, 14107, 8837, 10163, 26817, 41947}},
+{16586, 18, 53675, {1, 1, 3, 5, 27, 63, 117, 49, 405, 281, 981, 2363, 1525, 9685, 29089, 16739, 66509, 125823}},
+{16587, 18, 53685, {1, 3, 7, 13, 27, 29, 57, 189, 345, 135, 753, 463, 731, 4823, 14335, 33299, 105229, 54705}},
+{16588, 18, 53692, {1, 3, 1, 1, 9, 43, 51, 25, 371, 261, 1409, 3493, 2811, 12915, 16075, 62159, 125945, 108453}},
+{16589, 18, 53703, {1, 3, 7, 15, 13, 33, 47, 53, 263, 669, 1383, 3059, 4043, 4777, 14679, 2077, 11019, 5803}},
+{16590, 18, 53722, {1, 1, 3, 11, 21, 7, 39, 71, 215, 79, 1849, 1261, 45, 1273, 27591, 4653, 25119, 30445}},
+{16591, 18, 53738, {1, 3, 5, 9, 21, 3, 17, 207, 417, 777, 37, 3349, 2761, 4469, 3457, 15593, 87251, 38601}},
+{16592, 18, 53748, {1, 1, 7, 13, 29, 29, 101, 103, 487, 87, 1129, 2497, 5501, 4813, 8623, 25077, 50487, 94053}},
+{16593, 18, 53752, {1, 3, 3, 11, 7, 23, 95, 245, 127, 55, 431, 2707, 4955, 15871, 29589, 60023, 1921, 227623}},
+{16594, 18, 53764, {1, 1, 3, 11, 17, 61, 103, 59, 477, 99, 1203, 157, 203, 557, 22921, 47363, 12853, 144067}},
+{16595, 18, 53781, {1, 3, 1, 13, 15, 23, 51, 109, 499, 841, 1779, 2515, 2519, 4945, 20061, 12395, 9223, 157901}},
+{16596, 18, 53788, {1, 3, 7, 9, 9, 15, 57, 223, 223, 463, 427, 2145, 1219, 12639, 28361, 46019, 128101, 198479}},
+{16597, 18, 53791, {1, 3, 7, 7, 1, 1, 99, 101, 135, 169, 1885, 3979, 3051, 13649, 26607, 45067, 4503, 74087}},
+{16598, 18, 53816, {1, 3, 7, 5, 17, 63, 27, 45, 447, 759, 1099, 3407, 489, 2719, 31577, 10355, 126835, 203439}},
+{16599, 18, 53824, {1, 1, 5, 1, 21, 19, 1, 239, 433, 531, 1181, 2021, 423, 3235, 8457, 44459, 117401, 63545}},
+{16600, 18, 53830, {1, 3, 7, 13, 21, 39, 25, 65, 405, 785, 137, 2899, 3255, 11165, 7827, 46425, 89063, 102787}},
+{16601, 18, 53839, {1, 1, 1, 11, 25, 3, 39, 61, 395, 35, 2001, 3201, 2233, 9625, 26489, 54167, 88495, 127441}},
+{16602, 18, 53844, {1, 1, 7, 7, 3, 27, 11, 49, 117, 711, 1881, 1457, 6759, 10517, 12733, 47435, 103111, 237237}},
+{16603, 18, 53875, {1, 1, 5, 5, 1, 61, 121, 155, 223, 733, 1349, 2825, 2093, 4481, 21389, 40227, 20453, 116907}},
+{16604, 18, 53921, {1, 3, 7, 7, 5, 11, 85, 131, 345, 723, 853, 3679, 7859, 11923, 16619, 63169, 127261, 155665}},
+{16605, 18, 53922, {1, 1, 5, 1, 3, 51, 93, 225, 197, 893, 555, 2611, 6225, 7819, 31655, 12235, 24919, 31451}},
+{16606, 18, 53927, {1, 1, 3, 3, 11, 23, 95, 205, 85, 705, 545, 155, 5533, 14837, 8341, 42473, 96891, 70695}},
+{16607, 18, 53948, {1, 3, 3, 5, 17, 31, 99, 187, 219, 275, 685, 2933, 4535, 13495, 20351, 60667, 95211, 129233}},
+{16608, 18, 53956, {1, 1, 1, 11, 9, 11, 123, 231, 127, 199, 733, 2495, 2601, 10565, 3155, 45251, 128319, 187457}},
+{16609, 18, 53990, {1, 3, 1, 9, 3, 33, 41, 109, 279, 851, 1115, 3773, 2383, 1885, 6993, 59693, 69863, 88081}},
+{16610, 18, 53994, {1, 1, 7, 13, 3, 27, 27, 203, 337, 965, 959, 1125, 2897, 8653, 15827, 51187, 12121, 4665}},
+{16611, 18, 54001, {1, 3, 1, 9, 19, 7, 23, 113, 257, 671, 571, 1061, 4353, 217, 13603, 27961, 68431, 147187}},
+{16612, 18, 54016, {1, 3, 5, 9, 25, 61, 7, 139, 237, 859, 761, 2005, 5981, 153, 6553, 53005, 72653, 33571}},
+{16613, 18, 54019, {1, 3, 5, 5, 9, 35, 63, 149, 427, 65, 635, 1955, 1845, 13781, 9761, 36147, 91479, 141305}},
+{16614, 18, 54070, {1, 1, 3, 5, 13, 39, 53, 113, 481, 933, 239, 3713, 7453, 12363, 14763, 46955, 108545, 74349}},
+{16615, 18, 54074, {1, 3, 1, 7, 13, 41, 57, 225, 213, 617, 1947, 2855, 4885, 8553, 20259, 57125, 59369, 178553}},
+{16616, 18, 54088, {1, 3, 5, 15, 31, 31, 19, 87, 461, 403, 1193, 2123, 4991, 14551, 17153, 14171, 17157, 194879}},
+{16617, 18, 54102, {1, 1, 5, 11, 5, 27, 119, 65, 111, 455, 1949, 3441, 6951, 6819, 12839, 6913, 57695, 145925}},
+{16618, 18, 54111, {1, 1, 1, 15, 19, 41, 55, 45, 33, 559, 589, 3773, 745, 8515, 32389, 47797, 145, 105503}},
+{16619, 18, 54130, {1, 1, 3, 15, 13, 53, 35, 223, 247, 893, 149, 553, 829, 5129, 26417, 15769, 95411, 6595}},
+{16620, 18, 54152, {1, 1, 5, 3, 3, 59, 35, 187, 387, 3, 847, 3579, 7869, 481, 23955, 22191, 21041, 230449}},
+{16621, 18, 54170, {1, 1, 3, 15, 23, 11, 97, 199, 11, 647, 803, 2391, 5791, 2223, 22187, 49675, 87775, 196871}},
+{16622, 18, 54172, {1, 3, 7, 5, 25, 63, 107, 227, 133, 337, 1767, 2459, 2987, 10463, 25001, 17047, 79901, 222877}},
+{16623, 18, 54211, {1, 3, 1, 13, 25, 5, 47, 109, 473, 389, 1743, 3951, 4231, 827, 4189, 29903, 106909, 152835}},
+{16624, 18, 54218, {1, 1, 5, 3, 7, 61, 121, 189, 303, 21, 957, 545, 7893, 3217, 25847, 29371, 100569, 132393}},
+{16625, 18, 54228, {1, 1, 1, 15, 29, 17, 59, 37, 449, 149, 845, 555, 7603, 11911, 18477, 23279, 107167, 160339}},
+{16626, 18, 54251, {1, 1, 7, 5, 13, 27, 43, 167, 443, 445, 2011, 2179, 2785, 13663, 21957, 2455, 18217, 19303}},
+{16627, 18, 54253, {1, 1, 1, 5, 19, 45, 71, 39, 21, 791, 1467, 855, 3101, 8267, 15529, 919, 105313, 75627}},
+{16628, 18, 54268, {1, 3, 1, 11, 31, 25, 57, 177, 211, 327, 679, 771, 7725, 6123, 23931, 48223, 9063, 133319}},
+{16629, 18, 54271, {1, 3, 5, 3, 1, 11, 19, 153, 177, 563, 1919, 117, 5583, 1519, 16623, 10871, 15511, 66113}},
+{16630, 18, 54274, {1, 1, 7, 7, 9, 45, 63, 253, 415, 347, 81, 2991, 2691, 2383, 15573, 33783, 12445, 224107}},
+{16631, 18, 54288, {1, 3, 5, 5, 7, 17, 99, 231, 439, 1009, 623, 833, 685, 6419, 30313, 56197, 73239, 260007}},
+{16632, 18, 54314, {1, 1, 5, 5, 5, 51, 97, 239, 267, 629, 1211, 2175, 5681, 3107, 11381, 57047, 120175, 131285}},
+{16633, 18, 54319, {1, 1, 7, 7, 29, 11, 21, 49, 481, 279, 1795, 1295, 453, 15985, 19941, 51853, 15115, 107271}},
+{16634, 18, 54321, {1, 1, 5, 1, 23, 61, 33, 21, 409, 57, 903, 557, 1673, 2759, 23705, 4109, 58865, 233081}},
+{16635, 18, 54324, {1, 1, 1, 5, 11, 37, 79, 15, 213, 485, 1477, 3925, 3205, 9267, 22043, 54197, 57101, 66185}},
+{16636, 18, 54341, {1, 1, 7, 13, 31, 27, 95, 141, 131, 43, 2039, 2257, 17, 14427, 5699, 22263, 86851, 226283}},
+{16637, 18, 54353, {1, 3, 5, 5, 11, 5, 5, 217, 363, 163, 1241, 3683, 1409, 1731, 20973, 63849, 35041, 94859}},
+{16638, 18, 54366, {1, 1, 7, 1, 25, 61, 67, 239, 369, 319, 1157, 2435, 2147, 12057, 4451, 3005, 31787, 199653}},
+{16639, 18, 54370, {1, 3, 5, 1, 11, 57, 1, 163, 433, 11, 1299, 1711, 1601, 4677, 16481, 25175, 63893, 41853}},
+{16640, 18, 54420, {1, 1, 3, 1, 29, 49, 91, 15, 313, 533, 115, 4005, 3157, 10615, 27915, 52613, 64447, 93091}},
+{16641, 18, 54423, {1, 3, 7, 3, 7, 17, 103, 67, 237, 595, 1571, 3421, 3971, 11123, 145, 52087, 59273, 21417}},
+{16642, 18, 54434, {1, 3, 5, 11, 31, 37, 105, 205, 377, 243, 841, 3153, 6847, 14171, 19947, 61561, 35, 261753}},
+{16643, 18, 54440, {1, 3, 5, 9, 29, 21, 103, 219, 107, 427, 1841, 2015, 2919, 5721, 8631, 48841, 33281, 35835}},
+{16644, 18, 54454, {1, 1, 3, 5, 25, 27, 67, 65, 305, 677, 1975, 1049, 7277, 15279, 30181, 48941, 119087, 130265}},
+{16645, 18, 54495, {1, 1, 3, 9, 29, 27, 109, 167, 351, 463, 663, 3155, 919, 10627, 30163, 62233, 32927, 210775}},
+{16646, 18, 54501, {1, 3, 5, 5, 19, 9, 17, 93, 33, 999, 1537, 3045, 3735, 4625, 31363, 46075, 80985, 108331}},
+{16647, 18, 54526, {1, 3, 7, 7, 11, 63, 83, 157, 205, 505, 657, 1901, 1405, 8349, 16473, 29397, 130379, 167963}},
+{16648, 18, 54639, {1, 3, 1, 15, 25, 49, 65, 189, 461, 923, 1839, 2597, 2471, 14103, 2915, 48429, 74387, 243465}},
+{16649, 18, 54653, {1, 3, 7, 11, 31, 47, 109, 21, 205, 343, 1999, 315, 8119, 15937, 8761, 55257, 99983, 131641}},
+{16650, 18, 54667, {1, 1, 3, 11, 3, 23, 73, 125, 17, 967, 1811, 1413, 4783, 8303, 25301, 26859, 90583, 140721}},
+{16651, 18, 54678, {1, 1, 5, 5, 25, 41, 49, 127, 391, 381, 1575, 1697, 5205, 12805, 24365, 20275, 58819, 167845}},
+{16652, 18, 54700, {1, 1, 7, 11, 17, 53, 51, 35, 383, 931, 359, 2863, 119, 6683, 26247, 14281, 49205, 256869}},
+{16653, 18, 54717, {1, 1, 7, 9, 23, 5, 69, 97, 407, 15, 579, 2905, 47, 6227, 23997, 42459, 26569, 225467}},
+{16654, 18, 54780, {1, 3, 3, 11, 7, 3, 125, 87, 347, 79, 1571, 1513, 285, 12101, 1731, 27887, 42009, 173243}},
+{16655, 18, 54801, {1, 3, 7, 13, 3, 5, 99, 29, 77, 873, 1111, 1451, 5493, 10669, 22597, 54437, 55521, 101617}},
+{16656, 18, 54813, {1, 3, 1, 3, 3, 17, 41, 215, 207, 71, 683, 1979, 4849, 2437, 5717, 28999, 55005, 233929}},
+{16657, 18, 54814, {1, 1, 1, 1, 23, 21, 105, 223, 5, 235, 1533, 3715, 2689, 13937, 12125, 63879, 111537, 39817}},
+{16658, 18, 54850, {1, 3, 3, 15, 25, 47, 71, 229, 21, 563, 1851, 2423, 131, 4431, 31567, 8883, 1311, 227893}},
+{16659, 18, 54883, {1, 3, 5, 11, 7, 23, 19, 59, 397, 315, 1149, 3595, 5973, 11027, 5233, 55237, 102777, 137421}},
+{16660, 18, 54907, {1, 1, 7, 9, 17, 61, 45, 235, 387, 171, 1079, 3119, 6933, 3591, 751, 35495, 49969, 204611}},
+{16661, 18, 54919, {1, 1, 7, 7, 21, 7, 105, 79, 81, 245, 1229, 409, 5159, 9815, 6713, 4687, 120541, 246133}},
+{16662, 18, 54931, {1, 3, 7, 13, 23, 31, 85, 97, 481, 497, 581, 1179, 243, 1767, 11855, 11599, 3141, 104741}},
+{16663, 18, 54933, {1, 3, 7, 3, 3, 45, 15, 29, 413, 631, 273, 1007, 2979, 11307, 24535, 9305, 83591, 77121}},
+{16664, 18, 54991, {1, 3, 7, 15, 21, 55, 11, 169, 417, 631, 141, 1489, 3371, 16073, 11215, 15479, 125341, 131731}},
+{16665, 18, 55003, {1, 1, 7, 5, 13, 33, 7, 121, 295, 191, 497, 2233, 997, 13833, 14503, 38357, 79007, 53985}},
+{16666, 18, 55009, {1, 3, 3, 3, 29, 63, 97, 27, 449, 643, 317, 1989, 1481, 2873, 21247, 35989, 61295, 101829}},
+{16667, 18, 55030, {1, 3, 1, 7, 13, 49, 27, 227, 21, 983, 179, 2761, 2859, 2851, 26447, 33295, 126963, 41441}},
+{16668, 18, 55034, {1, 1, 5, 13, 27, 1, 61, 115, 185, 867, 2017, 2257, 5035, 7855, 25849, 48189, 28287, 133261}},
+{16669, 18, 55039, {1, 1, 7, 13, 27, 17, 13, 205, 379, 717, 247, 3341, 2841, 10845, 26979, 5589, 1935, 48371}},
+{16670, 18, 55048, {1, 3, 1, 11, 9, 51, 25, 185, 65, 643, 1867, 3825, 3395, 8883, 29239, 20019, 19071, 3377}},
+{16671, 18, 55059, {1, 1, 1, 1, 11, 57, 61, 113, 419, 249, 153, 2883, 87, 7919, 11941, 46725, 38701, 73715}},
+{16672, 18, 55061, {1, 3, 3, 11, 3, 15, 19, 87, 27, 839, 463, 1757, 3137, 10821, 2857, 58101, 91983, 137045}},
+{16673, 18, 55068, {1, 3, 3, 1, 25, 25, 15, 93, 359, 5, 53, 647, 6245, 1957, 4651, 14697, 12193, 231303}},
+{16674, 18, 55077, {1, 1, 5, 9, 31, 49, 69, 223, 133, 595, 777, 1281, 727, 6671, 21453, 14193, 51769, 258301}},
+{16675, 18, 55122, {1, 3, 5, 11, 29, 37, 75, 17, 229, 121, 313, 2873, 5233, 13231, 7589, 40075, 42101, 137697}},
+{16676, 18, 55149, {1, 1, 7, 1, 31, 9, 15, 63, 149, 5, 1785, 21, 2619, 15071, 3243, 58023, 20697, 205181}},
+{16677, 18, 55157, {1, 3, 7, 7, 25, 61, 59, 157, 251, 303, 1905, 2389, 1681, 319, 14155, 49089, 45381, 124447}},
+{16678, 18, 55158, {1, 3, 5, 5, 25, 27, 41, 125, 105, 867, 365, 117, 7215, 2887, 28499, 9597, 105999, 150189}},
+{16679, 18, 55178, {1, 1, 5, 13, 5, 33, 47, 221, 207, 641, 525, 3215, 5293, 16343, 16169, 44393, 26305, 194411}},
+{16680, 18, 55222, {1, 3, 5, 13, 29, 17, 31, 77, 511, 465, 1141, 597, 5111, 6629, 14557, 13057, 11643, 250925}},
+{16681, 18, 55234, {1, 1, 7, 11, 1, 5, 65, 139, 471, 265, 1145, 965, 47, 10971, 15615, 62031, 58523, 175593}},
+{16682, 18, 55236, {1, 1, 5, 1, 23, 61, 57, 139, 377, 843, 79, 2873, 1823, 7551, 26741, 63031, 124879, 115295}},
+{16683, 18, 55251, {1, 1, 5, 13, 9, 19, 1, 61, 331, 1015, 1035, 1691, 4057, 6071, 24929, 39569, 95695, 39307}},
+{16684, 18, 55269, {1, 3, 3, 5, 23, 17, 13, 65, 381, 893, 1879, 3735, 1547, 6735, 30251, 11471, 102997, 126429}},
+{16685, 18, 55270, {1, 1, 5, 13, 1, 43, 15, 1, 155, 221, 1463, 3793, 6467, 7221, 28027, 55357, 69397, 87565}},
+{16686, 18, 55284, {1, 1, 7, 3, 17, 9, 71, 75, 77, 639, 1251, 701, 473, 12337, 1893, 6349, 10837, 27797}},
+{16687, 18, 55309, {1, 3, 5, 11, 11, 11, 125, 23, 161, 937, 707, 2487, 695, 8495, 16219, 33671, 109463, 248305}},
+{16688, 18, 55322, {1, 1, 1, 11, 5, 49, 15, 47, 393, 407, 39, 1867, 7727, 12701, 7805, 119, 77401, 186421}},
+{16689, 18, 55334, {1, 1, 5, 5, 19, 21, 77, 187, 387, 51, 1497, 1225, 3101, 791, 529, 4321, 118435, 112889}},
+{16690, 18, 55340, {1, 3, 1, 13, 27, 17, 11, 63, 201, 909, 1549, 3243, 1803, 9461, 20985, 24637, 100993, 200473}},
+{16691, 18, 55348, {1, 3, 7, 13, 11, 35, 97, 213, 415, 467, 2013, 2159, 7017, 7895, 18235, 50659, 113169, 141887}},
+{16692, 18, 55377, {1, 1, 3, 7, 13, 21, 119, 109, 471, 323, 277, 1685, 2399, 14777, 2643, 5879, 113043, 45223}},
+{16693, 18, 55430, {1, 3, 1, 13, 19, 5, 1, 75, 499, 297, 1897, 591, 3223, 12939, 30593, 4053, 122207, 215171}},
+{16694, 18, 55433, {1, 3, 3, 9, 21, 11, 29, 205, 13, 381, 569, 599, 7089, 8145, 18531, 34477, 101057, 64269}},
+{16695, 18, 55441, {1, 1, 5, 15, 1, 19, 37, 131, 325, 441, 3, 4001, 6937, 9207, 27543, 30321, 37083, 241019}},
+{16696, 18, 55470, {1, 3, 7, 13, 7, 15, 9, 159, 97, 905, 557, 1913, 7325, 4057, 19461, 14277, 36873, 25619}},
+{16697, 18, 55535, {1, 3, 5, 7, 3, 51, 99, 9, 185, 227, 2041, 331, 3925, 12481, 17485, 37137, 3753, 125269}},
+{16698, 18, 55561, {1, 1, 7, 11, 31, 49, 89, 37, 49, 863, 833, 3263, 351, 6277, 23055, 49727, 25005, 161585}},
+{16699, 18, 55567, {1, 3, 5, 1, 9, 35, 89, 101, 117, 365, 1015, 1159, 4623, 4541, 6831, 28091, 10647, 221415}},
+{16700, 18, 55597, {1, 1, 5, 5, 13, 47, 125, 209, 199, 885, 927, 1411, 795, 8835, 28589, 48753, 27191, 53455}},
+{16701, 18, 55630, {1, 1, 5, 9, 7, 19, 3, 87, 157, 121, 1433, 1463, 3241, 5969, 203, 36723, 14779, 63949}},
+{16702, 18, 55648, {1, 1, 3, 9, 1, 47, 71, 113, 405, 561, 1149, 3599, 4173, 6819, 5493, 45987, 41521, 221503}},
+{16703, 18, 55653, {1, 3, 3, 1, 3, 55, 101, 103, 161, 549, 457, 2529, 2043, 8843, 5677, 7449, 45185, 178289}},
+{16704, 18, 55657, {1, 1, 1, 3, 31, 25, 1, 161, 7, 503, 641, 2221, 749, 1521, 6151, 19245, 55913, 80141}},
+{16705, 18, 55665, {1, 1, 1, 9, 3, 45, 73, 217, 249, 929, 163, 2139, 3921, 11223, 11161, 52697, 89633, 14243}},
+{16706, 18, 55678, {1, 1, 7, 15, 17, 41, 5, 119, 211, 53, 985, 2679, 679, 9349, 25577, 26947, 35141, 93999}},
+{16707, 18, 55684, {1, 3, 1, 15, 17, 43, 51, 15, 363, 615, 889, 195, 6279, 15477, 31545, 50941, 119711, 66535}},
+{16708, 18, 55691, {1, 1, 1, 13, 7, 11, 17, 127, 131, 759, 739, 161, 5937, 13611, 31757, 10681, 101357, 82873}},
+{16709, 18, 55693, {1, 3, 5, 7, 21, 63, 75, 33, 233, 981, 589, 3409, 3523, 1871, 8919, 38513, 32825, 56935}},
+{16710, 18, 55702, {1, 3, 5, 3, 9, 9, 85, 221, 203, 727, 1035, 1069, 2409, 2687, 235, 23395, 64163, 193235}},
+{16711, 18, 55708, {1, 3, 3, 7, 1, 35, 119, 175, 203, 819, 207, 2283, 4175, 3581, 11647, 43073, 104573, 86607}},
+{16712, 18, 55715, {1, 3, 3, 15, 11, 63, 59, 153, 279, 779, 261, 3317, 7671, 11727, 19381, 33227, 79331, 187227}},
+{16713, 18, 55739, {1, 1, 3, 1, 7, 1, 115, 15, 235, 9, 1877, 1911, 1089, 9939, 9537, 39563, 95327, 70323}},
+{16714, 18, 55761, {1, 1, 5, 7, 25, 61, 63, 145, 425, 617, 1813, 3255, 6797, 16019, 18849, 44191, 69877, 179933}},
+{16715, 18, 55767, {1, 1, 3, 13, 17, 45, 69, 247, 27, 367, 871, 1185, 895, 7991, 8145, 22869, 97609, 14673}},
+{16716, 18, 55768, {1, 3, 3, 11, 19, 41, 99, 213, 159, 803, 121, 1197, 2849, 15191, 15603, 52445, 105077, 128231}},
+{16717, 18, 55774, {1, 3, 1, 11, 21, 61, 117, 167, 437, 447, 419, 1673, 755, 15331, 29819, 16099, 130773, 177547}},
+{16718, 18, 55787, {1, 3, 7, 7, 1, 15, 79, 109, 351, 71, 985, 89, 7517, 4175, 30533, 52125, 100863, 186477}},
+{16719, 18, 55811, {1, 1, 3, 1, 15, 1, 103, 65, 511, 241, 1279, 3233, 7141, 255, 10925, 28271, 56151, 252121}},
+{16720, 18, 55835, {1, 1, 1, 13, 17, 49, 59, 93, 19, 343, 979, 865, 3447, 4595, 3067, 26807, 98915, 126237}},
+{16721, 18, 55894, {1, 3, 3, 5, 17, 5, 91, 199, 191, 775, 233, 919, 277, 3485, 9231, 37025, 23493, 186745}},
+{16722, 18, 55897, {1, 3, 1, 1, 11, 5, 103, 187, 85, 47, 1111, 883, 6155, 15315, 9041, 58275, 75037, 7773}},
+{16723, 18, 55904, {1, 3, 1, 3, 19, 5, 7, 211, 481, 713, 383, 1203, 6089, 15817, 31577, 7283, 25457, 101455}},
+{16724, 18, 55931, {1, 3, 5, 7, 21, 9, 59, 127, 375, 477, 721, 3931, 7089, 9079, 5015, 62019, 113747, 36055}},
+{16725, 18, 55950, {1, 3, 7, 13, 3, 17, 47, 177, 103, 535, 1787, 509, 5253, 2857, 13421, 19875, 37397, 251353}},
+{16726, 18, 55961, {1, 1, 5, 7, 19, 31, 41, 93, 301, 45, 251, 2691, 4657, 2627, 17321, 24627, 80221, 117191}},
+{16727, 18, 55973, {1, 3, 5, 7, 5, 31, 27, 3, 463, 549, 1669, 499, 815, 4091, 7049, 60957, 102849, 235617}},
+{16728, 18, 56078, {1, 3, 5, 1, 21, 31, 57, 201, 503, 977, 893, 3927, 1605, 8265, 5137, 51009, 89375, 237909}},
+{16729, 18, 56099, {1, 3, 3, 1, 27, 5, 11, 81, 445, 229, 5, 543, 3397, 12961, 31911, 36945, 59485, 305}},
+{16730, 18, 56105, {1, 1, 5, 13, 31, 63, 39, 171, 243, 39, 1147, 459, 7215, 14603, 20625, 47369, 121495, 237741}},
+{16731, 18, 56119, {1, 3, 3, 13, 15, 63, 39, 23, 305, 685, 1885, 571, 2657, 16031, 24759, 10639, 25619, 246137}},
+{16732, 18, 56133, {1, 1, 1, 5, 19, 33, 5, 187, 167, 725, 1405, 511, 701, 13283, 3513, 16495, 8755, 221751}},
+{16733, 18, 56168, {1, 1, 7, 11, 3, 27, 27, 237, 495, 637, 479, 3247, 3825, 2567, 12853, 52881, 34807, 161483}},
+{16734, 18, 56191, {1, 3, 3, 9, 23, 43, 101, 175, 19, 443, 787, 1053, 4113, 12777, 4615, 53115, 2873, 117383}},
+{16735, 18, 56202, {1, 3, 1, 13, 3, 23, 33, 93, 145, 937, 957, 2463, 827, 383, 16749, 61567, 10029, 188159}},
+{16736, 18, 56209, {1, 1, 7, 15, 21, 23, 3, 71, 323, 995, 645, 1189, 1029, 519, 3479, 13587, 95641, 215337}},
+{16737, 18, 56215, {1, 3, 7, 11, 9, 17, 101, 59, 421, 417, 797, 3089, 773, 15959, 18127, 13681, 104667, 217433}},
+{16738, 18, 56232, {1, 3, 5, 7, 31, 21, 9, 7, 377, 589, 1497, 939, 5389, 10997, 22291, 19639, 72187, 66193}},
+{16739, 18, 56240, {1, 1, 1, 13, 19, 1, 127, 185, 251, 167, 1289, 2715, 5885, 12715, 18261, 36861, 102721, 246917}},
+{16740, 18, 56260, {1, 1, 7, 1, 23, 41, 19, 151, 125, 465, 813, 1711, 7933, 13561, 29737, 59207, 62533, 124149}},
+{16741, 18, 56270, {1, 3, 5, 9, 7, 13, 17, 119, 425, 877, 1207, 2211, 2943, 13921, 28251, 44143, 112149, 152341}},
+{16742, 18, 56278, {1, 3, 5, 9, 15, 21, 87, 83, 77, 731, 91, 3091, 5687, 9647, 2037, 39031, 106583, 66533}},
+{16743, 18, 56281, {1, 1, 7, 9, 31, 49, 7, 119, 147, 599, 1191, 297, 1597, 10723, 16893, 47387, 106995, 165409}},
+{16744, 18, 56288, {1, 3, 3, 3, 3, 63, 11, 193, 241, 63, 1671, 2139, 5689, 13967, 9239, 7535, 34237, 140283}},
+{16745, 18, 56303, {1, 3, 5, 13, 9, 23, 65, 247, 473, 825, 109, 1897, 245, 10517, 8147, 25989, 96447, 118689}},
+{16746, 18, 56308, {1, 1, 3, 5, 27, 35, 65, 23, 159, 729, 189, 2661, 4245, 14377, 21043, 15551, 2717, 146949}},
+{16747, 18, 56312, {1, 1, 3, 13, 23, 5, 35, 63, 293, 347, 883, 149, 5145, 10821, 5813, 24183, 94711, 64787}},
+{16748, 18, 56320, {1, 1, 5, 3, 27, 3, 127, 141, 237, 535, 1509, 2755, 5843, 2379, 19413, 52345, 100247, 42571}},
+{16749, 18, 56326, {1, 3, 3, 9, 1, 55, 61, 105, 29, 1021, 1215, 2157, 7453, 4643, 26793, 33553, 2959, 51485}},
+{16750, 18, 56392, {1, 1, 3, 7, 31, 51, 59, 49, 321, 207, 415, 2115, 219, 5045, 31133, 17961, 130779, 28255}},
+{16751, 18, 56395, {1, 3, 7, 15, 9, 29, 31, 185, 111, 959, 7, 827, 7891, 5449, 22221, 49933, 2091, 194683}},
+{16752, 18, 56403, {1, 3, 7, 1, 11, 59, 75, 255, 387, 913, 423, 2915, 5079, 6363, 5175, 57977, 5559, 13257}},
+{16753, 18, 56419, {1, 1, 7, 1, 21, 3, 21, 13, 157, 3, 715, 3525, 7769, 5333, 25345, 53473, 44323, 203167}},
+{16754, 18, 56428, {1, 1, 7, 11, 31, 25, 55, 5, 169, 695, 1599, 2357, 1427, 14469, 15223, 34275, 42605, 23005}},
+{16755, 18, 56450, {1, 1, 1, 15, 19, 51, 117, 135, 297, 831, 329, 3793, 4673, 3795, 24185, 52971, 30423, 68771}},
+{16756, 18, 56452, {1, 1, 7, 5, 19, 33, 79, 77, 315, 29, 307, 1709, 3489, 14515, 12477, 58939, 53753, 165031}},
+{16757, 18, 56485, {1, 1, 7, 1, 27, 57, 119, 207, 355, 279, 1371, 3917, 2821, 5285, 12673, 28973, 54957, 94001}},
+{16758, 18, 56486, {1, 3, 7, 3, 19, 57, 53, 199, 485, 805, 301, 1337, 5993, 2187, 30573, 12045, 101205, 129841}},
+{16759, 18, 56492, {1, 1, 3, 9, 15, 45, 71, 119, 445, 759, 1361, 1299, 2927, 2343, 22085, 53733, 21241, 1553}},
+{16760, 18, 56498, {1, 3, 5, 3, 27, 11, 1, 239, 497, 343, 1989, 1463, 2473, 5191, 6271, 14129, 124453, 96817}},
+{16761, 18, 56510, {1, 3, 5, 7, 27, 19, 123, 27, 483, 557, 1545, 1871, 1297, 587, 1067, 51259, 119231, 173659}},
+{16762, 18, 56512, {1, 3, 1, 1, 27, 45, 41, 113, 453, 553, 2019, 2039, 1709, 13017, 5497, 34459, 60295, 229405}},
+{16763, 18, 56524, {1, 3, 1, 11, 1, 57, 51, 125, 261, 915, 1673, 25, 529, 653, 17247, 64225, 98991, 248143}},
+{16764, 18, 56530, {1, 3, 5, 15, 25, 27, 31, 1, 463, 249, 113, 1955, 2223, 5463, 12281, 20843, 26495, 256759}},
+{16765, 18, 56545, {1, 1, 3, 11, 27, 33, 57, 205, 89, 435, 1983, 1165, 3843, 127, 30179, 63971, 10211, 105403}},
+{16766, 18, 56551, {1, 3, 3, 5, 21, 49, 35, 161, 273, 205, 41, 1881, 2013, 12549, 24859, 55711, 98235, 237281}},
+{16767, 18, 56565, {1, 3, 3, 1, 15, 35, 95, 1, 221, 675, 385, 2257, 2531, 2129, 12895, 11565, 125977, 51973}},
+{16768, 18, 56580, {1, 1, 1, 15, 19, 61, 35, 55, 9, 721, 499, 2577, 3001, 14861, 22293, 56195, 72855, 166703}},
+{16769, 18, 56587, {1, 1, 1, 7, 5, 25, 59, 175, 81, 989, 935, 2579, 8183, 1109, 4645, 53753, 115795, 105091}},
+{16770, 18, 56589, {1, 3, 3, 13, 7, 55, 7, 113, 197, 763, 1747, 3291, 1109, 4391, 18257, 28563, 97413, 5847}},
+{16771, 18, 56592, {1, 1, 1, 7, 23, 55, 91, 83, 479, 305, 843, 2055, 3405, 15243, 31551, 5275, 8651, 66915}},
+{16772, 18, 56611, {1, 3, 7, 9, 3, 19, 83, 229, 235, 903, 1495, 1033, 2729, 14927, 11847, 22979, 13905, 84413}},
+{16773, 18, 56623, {1, 3, 3, 13, 27, 37, 83, 193, 475, 439, 745, 757, 7359, 6683, 5839, 50765, 6933, 117411}},
+{16774, 18, 56635, {1, 3, 5, 11, 31, 25, 33, 77, 113, 815, 123, 2721, 2133, 8995, 15237, 54565, 5155, 51235}},
+{16775, 18, 56646, {1, 3, 3, 7, 15, 31, 73, 91, 379, 39, 913, 53, 41, 1059, 25883, 11769, 63015, 48125}},
+{16776, 18, 56660, {1, 1, 5, 5, 5, 13, 81, 169, 71, 529, 1429, 2101, 4069, 5509, 30283, 40625, 103673, 183243}},
+{16777, 18, 56680, {1, 3, 3, 5, 23, 39, 39, 237, 445, 567, 343, 2521, 2287, 1851, 2315, 59979, 5015, 243349}},
+{16778, 18, 56686, {1, 1, 7, 1, 1, 51, 89, 229, 187, 207, 245, 3521, 2987, 4347, 6997, 62565, 54397, 140473}},
+{16779, 18, 56716, {1, 3, 1, 5, 7, 59, 45, 161, 457, 655, 1591, 215, 2213, 15101, 14791, 40397, 95811, 126291}},
+{16780, 18, 56749, {1, 1, 3, 1, 5, 23, 7, 199, 143, 561, 1669, 17, 8109, 11003, 4535, 8593, 112021, 223153}},
+{16781, 18, 56790, {1, 3, 5, 9, 3, 37, 111, 15, 235, 697, 385, 2197, 909, 1247, 26199, 50661, 100643, 122577}},
+{16782, 18, 56809, {1, 3, 5, 11, 23, 53, 95, 75, 463, 137, 1511, 3373, 3071, 547, 22399, 51891, 9123, 240925}},
+{16783, 18, 56869, {1, 3, 7, 3, 21, 35, 69, 197, 371, 15, 185, 3539, 29, 15071, 17069, 34669, 37023, 189385}},
+{16784, 18, 56884, {1, 1, 1, 15, 5, 21, 7, 5, 201, 881, 841, 827, 503, 3545, 17771, 64481, 65105, 209947}},
+{16785, 18, 56887, {1, 1, 1, 5, 3, 31, 83, 201, 455, 169, 1797, 1769, 1999, 8629, 14313, 16851, 64955, 180631}},
+{16786, 18, 56893, {1, 1, 5, 5, 1, 35, 49, 61, 499, 619, 1509, 3015, 237, 8979, 3471, 11513, 80193, 24135}},
+{16787, 18, 56906, {1, 3, 3, 9, 25, 29, 111, 19, 339, 739, 1751, 2671, 5399, 5965, 3943, 45577, 70605, 203117}},
+{16788, 18, 56932, {1, 3, 3, 7, 3, 9, 15, 147, 177, 545, 161, 2211, 4653, 15891, 15939, 19153, 77827, 245787}},
+{16789, 18, 56959, {1, 1, 1, 1, 25, 47, 37, 159, 273, 825, 1037, 2047, 7149, 5517, 699, 49687, 110115, 159475}},
+{16790, 18, 56965, {1, 3, 1, 7, 7, 55, 77, 231, 197, 381, 2013, 2421, 7551, 9955, 21031, 11365, 48271, 190147}},
+{16791, 18, 56983, {1, 1, 5, 9, 25, 1, 81, 145, 215, 427, 905, 2307, 6149, 12777, 131, 57091, 106137, 24625}},
+{16792, 18, 57018, {1, 3, 1, 13, 13, 63, 103, 245, 275, 745, 841, 2993, 2083, 8903, 4499, 55979, 22323, 244447}},
+{16793, 18, 57023, {1, 1, 5, 5, 15, 11, 59, 181, 191, 219, 599, 59, 1079, 4445, 16537, 31127, 103257, 233855}},
+{16794, 18, 57025, {1, 3, 7, 9, 9, 37, 109, 41, 145, 1001, 609, 551, 6843, 13791, 15103, 27851, 7693, 145207}},
+{16795, 18, 57032, {1, 3, 1, 9, 3, 35, 63, 219, 49, 567, 1537, 1327, 6487, 16039, 26019, 13851, 116929, 175121}},
+{16796, 18, 57040, {1, 3, 7, 15, 17, 31, 27, 91, 241, 229, 485, 2601, 3859, 12609, 19847, 31939, 50815, 235529}},
+{16797, 18, 57046, {1, 1, 5, 15, 27, 31, 3, 47, 69, 427, 95, 1445, 1223, 2953, 32343, 6841, 67851, 79561}},
+{16798, 18, 57071, {1, 3, 5, 13, 13, 37, 19, 127, 259, 139, 1597, 651, 4845, 6413, 18205, 56005, 32107, 140783}},
+{16799, 18, 57091, {1, 1, 7, 5, 15, 23, 81, 195, 127, 113, 499, 733, 5907, 12107, 18105, 28113, 16111, 152327}},
+{16800, 18, 57094, {1, 1, 5, 15, 9, 49, 109, 181, 187, 591, 1625, 3641, 313, 1225, 11725, 9047, 30351, 124301}},
+{16801, 18, 57108, {1, 3, 1, 1, 9, 45, 103, 219, 155, 805, 1775, 759, 1687, 11415, 21623, 37831, 18995, 21667}},
+{16802, 18, 57122, {1, 3, 3, 5, 25, 13, 11, 37, 489, 935, 373, 811, 5045, 3615, 2111, 22909, 117155, 69483}},
+{16803, 18, 57127, {1, 3, 3, 5, 9, 45, 71, 87, 265, 93, 161, 2983, 1023, 3633, 5965, 9499, 35653, 219257}},
+{16804, 18, 57168, {1, 1, 5, 13, 21, 27, 101, 231, 85, 469, 1023, 3735, 5093, 253, 22585, 61975, 81041, 4175}},
+{16805, 18, 57183, {1, 3, 1, 7, 5, 41, 105, 153, 391, 5, 1917, 331, 7679, 14359, 13177, 40755, 78669, 133527}},
+{16806, 18, 57184, {1, 3, 3, 15, 21, 61, 87, 63, 227, 195, 1095, 1629, 7787, 5887, 20855, 30203, 61973, 30627}},
+{16807, 18, 57193, {1, 3, 1, 15, 31, 41, 125, 223, 201, 717, 1309, 595, 5333, 10585, 32525, 8597, 92637, 111073}},
+{16808, 18, 57202, {1, 3, 5, 3, 21, 29, 39, 105, 275, 515, 503, 79, 6715, 14203, 14035, 20871, 122417, 243167}},
+{16809, 18, 57235, {1, 3, 7, 5, 29, 41, 3, 89, 165, 879, 773, 3989, 3945, 4771, 2809, 59105, 37177, 193887}},
+{16810, 18, 57237, {1, 3, 3, 3, 27, 1, 91, 191, 135, 257, 527, 2971, 7117, 6013, 8735, 52363, 110617, 96959}},
+{16811, 18, 57251, {1, 3, 7, 9, 3, 63, 67, 67, 231, 23, 1539, 771, 1485, 4331, 19231, 50539, 15081, 75945}},
+{16812, 18, 57289, {1, 3, 3, 11, 29, 11, 77, 67, 497, 861, 21, 2939, 2463, 14435, 27399, 19733, 118207, 60909}},
+{16813, 18, 57349, {1, 1, 5, 5, 1, 11, 117, 55, 485, 877, 1213, 2231, 2613, 14027, 18491, 45431, 113303, 28457}},
+{16814, 18, 57359, {1, 3, 7, 1, 13, 49, 77, 59, 455, 251, 1033, 3451, 7641, 389, 3987, 62361, 90125, 94569}},
+{16815, 18, 57374, {1, 1, 7, 15, 3, 5, 45, 173, 343, 445, 1871, 2505, 1385, 2641, 21299, 35139, 61781, 101195}},
+{16816, 18, 57377, {1, 3, 1, 9, 25, 27, 89, 123, 473, 901, 1513, 2585, 5641, 13123, 22653, 32985, 15763, 9161}},
+{16817, 18, 57387, {1, 3, 3, 9, 29, 41, 5, 127, 489, 715, 1981, 3953, 3557, 10081, 31913, 52191, 118727, 4443}},
+{16818, 18, 57415, {1, 1, 5, 1, 19, 57, 125, 33, 253, 297, 265, 2249, 6859, 14971, 3519, 24783, 127491, 210441}},
+{16819, 18, 57440, {1, 1, 7, 7, 31, 1, 47, 175, 305, 933, 679, 317, 7511, 13219, 9509, 61183, 58907, 72905}},
+{16820, 18, 57446, {1, 1, 1, 7, 13, 49, 75, 85, 341, 911, 1217, 3631, 1849, 9715, 23193, 947, 106647, 180455}},
+{16821, 18, 57450, {1, 1, 7, 7, 1, 49, 91, 195, 329, 771, 607, 1707, 2723, 291, 21393, 6549, 31645, 151431}},
+{16822, 18, 57469, {1, 3, 7, 5, 17, 57, 7, 231, 247, 217, 1729, 3231, 7515, 15341, 18681, 21733, 28723, 228187}},
+{16823, 18, 57491, {1, 1, 5, 9, 5, 19, 121, 251, 43, 951, 957, 173, 4863, 5027, 6781, 29421, 4877, 47749}},
+{16824, 18, 57503, {1, 3, 7, 7, 11, 33, 107, 233, 329, 589, 869, 913, 7687, 13223, 27577, 24379, 13037, 214713}},
+{16825, 18, 57507, {1, 3, 7, 13, 1, 13, 121, 103, 387, 193, 543, 3085, 4323, 9885, 24499, 34985, 45763, 13107}},
+{16826, 18, 57542, {1, 1, 3, 15, 25, 63, 85, 41, 457, 779, 1199, 2235, 309, 2549, 3341, 36265, 17873, 32361}},
+{16827, 18, 57569, {1, 3, 3, 3, 15, 31, 11, 57, 499, 415, 1625, 1195, 6863, 6073, 25083, 57705, 76203, 130993}},
+{16828, 18, 57599, {1, 3, 5, 5, 21, 13, 43, 161, 255, 31, 1901, 3325, 3209, 9809, 8227, 9005, 57263, 95095}},
+{16829, 18, 57601, {1, 1, 3, 15, 13, 33, 5, 123, 291, 579, 1747, 3319, 7351, 1679, 11365, 26909, 74445, 139017}},
+{16830, 18, 57607, {1, 1, 3, 13, 17, 39, 1, 253, 487, 935, 1711, 1397, 503, 7817, 28509, 20665, 78551, 204319}},
+{16831, 18, 57608, {1, 1, 3, 1, 5, 39, 123, 105, 305, 77, 63, 3285, 7463, 11199, 647, 37757, 91083, 108325}},
+{16832, 18, 57625, {1, 1, 7, 5, 9, 49, 121, 155, 389, 119, 1327, 3583, 7715, 2705, 20047, 19151, 101455, 205263}},
+{16833, 18, 57644, {1, 1, 5, 7, 31, 23, 13, 109, 103, 41, 433, 3609, 4973, 11481, 8381, 4725, 113633, 134651}},
+{16834, 18, 57662, {1, 3, 7, 7, 25, 25, 107, 189, 89, 625, 187, 2185, 713, 10107, 11139, 63681, 97005, 79329}},
+{16835, 18, 57664, {1, 3, 1, 11, 3, 41, 43, 161, 337, 955, 1035, 451, 5989, 3593, 18087, 22667, 110213, 128545}},
+{16836, 18, 57674, {1, 1, 5, 1, 25, 31, 95, 113, 205, 565, 557, 3885, 7163, 10703, 27159, 11395, 117459, 52439}},
+{16837, 18, 57698, {1, 1, 1, 5, 27, 31, 39, 61, 323, 983, 1361, 2387, 5401, 8287, 17855, 49783, 65327, 202861}},
+{16838, 18, 57700, {1, 3, 5, 3, 31, 39, 105, 113, 183, 311, 667, 945, 3677, 14623, 27907, 16673, 77899, 182863}},
+{16839, 18, 57709, {1, 1, 5, 3, 17, 27, 99, 93, 81, 805, 1799, 2855, 6859, 3917, 26177, 22307, 59213, 210123}},
+{16840, 18, 57724, {1, 3, 5, 1, 19, 37, 51, 65, 495, 229, 229, 1283, 2967, 5329, 24339, 58739, 23145, 7033}},
+{16841, 18, 57728, {1, 3, 3, 15, 11, 51, 121, 41, 75, 845, 1771, 3625, 6137, 3463, 11767, 45181, 70907, 42771}},
+{16842, 18, 57740, {1, 3, 7, 9, 15, 25, 55, 219, 265, 655, 167, 1247, 5409, 5623, 21045, 12333, 25799, 218601}},
+{16843, 18, 57745, {1, 3, 3, 13, 31, 39, 77, 155, 471, 969, 755, 2745, 3057, 3621, 32423, 48687, 9409, 90997}},
+{16844, 18, 57751, {1, 1, 3, 15, 27, 1, 77, 231, 147, 235, 2027, 4045, 7431, 14655, 6361, 43155, 9839, 161713}},
+{16845, 18, 57774, {1, 3, 7, 5, 25, 19, 25, 75, 415, 931, 457, 3691, 687, 4849, 15469, 42871, 37949, 74163}},
+{16846, 18, 57782, {1, 3, 5, 9, 17, 19, 29, 117, 387, 1021, 1159, 2467, 2585, 2563, 9155, 44763, 93319, 6321}},
+{16847, 18, 57796, {1, 3, 5, 7, 25, 33, 127, 175, 143, 705, 539, 2563, 945, 11369, 19971, 19019, 116195, 84121}},
+{16848, 18, 57803, {1, 3, 7, 7, 5, 55, 29, 1, 419, 715, 1275, 2983, 7853, 12245, 32109, 27371, 123547, 82723}},
+{16849, 18, 57823, {1, 1, 1, 13, 3, 29, 31, 213, 195, 609, 1465, 1711, 6747, 13309, 1131, 3151, 48779, 91571}},
+{16850, 18, 57863, {1, 1, 5, 3, 17, 7, 103, 7, 217, 87, 1641, 833, 4551, 14205, 15119, 6711, 111273, 200545}},
+{16851, 18, 57894, {1, 3, 1, 5, 3, 39, 99, 15, 433, 895, 165, 4049, 3183, 4385, 24695, 40009, 67151, 156643}},
+{16852, 18, 57925, {1, 1, 7, 3, 29, 9, 15, 27, 109, 1019, 327, 2837, 5297, 12455, 2355, 37703, 122995, 177871}},
+{16853, 18, 57971, {1, 1, 5, 15, 29, 5, 121, 117, 31, 155, 1027, 1105, 8057, 8677, 9523, 3019, 98801, 15539}},
+{16854, 18, 58013, {1, 3, 7, 3, 1, 1, 37, 67, 471, 317, 1571, 2801, 7383, 4339, 8095, 45685, 95885, 39577}},
+{16855, 18, 58020, {1, 3, 7, 13, 17, 13, 91, 79, 49, 321, 1235, 311, 129, 6537, 6643, 25813, 48251, 138823}},
+{16856, 18, 58032, {1, 1, 5, 3, 21, 19, 67, 61, 153, 611, 1819, 3755, 5959, 3419, 6117, 1159, 68925, 146199}},
+{16857, 18, 58038, {1, 1, 7, 9, 23, 3, 7, 13, 429, 463, 653, 3461, 6337, 4511, 18097, 44837, 99845, 37101}},
+{16858, 18, 58061, {1, 3, 5, 13, 9, 5, 123, 199, 83, 409, 1391, 1567, 7327, 8173, 30971, 18241, 7755, 185375}},
+{16859, 18, 58069, {1, 3, 1, 7, 19, 51, 51, 23, 85, 923, 1969, 2329, 7343, 12489, 16135, 64783, 117063, 141071}},
+{16860, 18, 58080, {1, 3, 1, 3, 23, 29, 5, 77, 207, 351, 367, 2097, 2639, 9255, 21971, 64167, 98069, 81153}},
+{16861, 18, 58089, {1, 1, 7, 15, 27, 1, 83, 255, 47, 935, 567, 3573, 3629, 5833, 483, 1001, 9337, 119847}},
+{16862, 18, 58107, {1, 3, 7, 11, 31, 53, 25, 35, 463, 51, 401, 3279, 7709, 11265, 17905, 40423, 26277, 43355}},
+{16863, 18, 58121, {1, 1, 7, 5, 9, 15, 73, 217, 239, 405, 1651, 2131, 6791, 11241, 21717, 7393, 77251, 28131}},
+{16864, 18, 58130, {1, 3, 5, 3, 13, 43, 115, 159, 215, 811, 1349, 2941, 2073, 1821, 6891, 17285, 72027, 137849}},
+{16865, 18, 58146, {1, 3, 3, 3, 15, 11, 29, 53, 307, 409, 1069, 3713, 3205, 6185, 2565, 14973, 46149, 162527}},
+{16866, 18, 58190, {1, 1, 3, 15, 21, 39, 61, 209, 211, 123, 697, 2285, 859, 2501, 5847, 56449, 106575, 261069}},
+{16867, 18, 58195, {1, 3, 3, 5, 25, 21, 39, 131, 189, 747, 1499, 1865, 3369, 9161, 12543, 63155, 70083, 69441}},
+{16868, 18, 58202, {1, 3, 1, 15, 31, 43, 127, 57, 169, 109, 979, 1399, 3065, 5865, 16891, 56003, 14319, 94109}},
+{16869, 18, 58237, {1, 1, 1, 13, 23, 57, 13, 239, 139, 41, 1959, 429, 209, 543, 21297, 15343, 16521, 52305}},
+{16870, 18, 58253, {1, 1, 7, 1, 17, 1, 115, 139, 93, 123, 867, 3257, 8135, 12089, 1503, 33287, 79283, 151419}},
+{16871, 18, 58299, {1, 3, 7, 7, 27, 17, 15, 253, 89, 959, 597, 2193, 3505, 13865, 2179, 58711, 114615, 15227}},
+{16872, 18, 58302, {1, 3, 7, 5, 1, 5, 105, 241, 361, 229, 1069, 3815, 1409, 4909, 31785, 46555, 123523, 53259}},
+{16873, 18, 58327, {1, 1, 5, 5, 15, 49, 13, 195, 467, 285, 1405, 3011, 2069, 8331, 13953, 31107, 46581, 154615}},
+{16874, 18, 58328, {1, 3, 5, 7, 21, 23, 17, 17, 345, 369, 1521, 3755, 2165, 15387, 2851, 11115, 60483, 236049}},
+{16875, 18, 58364, {1, 3, 3, 1, 5, 41, 53, 239, 127, 237, 609, 927, 3787, 5059, 1865, 52991, 56229, 102093}},
+{16876, 18, 58367, {1, 1, 7, 5, 23, 7, 15, 199, 325, 695, 1525, 3435, 3997, 11577, 22985, 57713, 94309, 218433}},
+{16877, 18, 58375, {1, 3, 3, 5, 25, 25, 61, 99, 237, 447, 1905, 783, 5239, 11415, 16833, 27815, 115539, 161111}},
+{16878, 18, 58394, {1, 1, 5, 9, 31, 49, 55, 199, 159, 751, 849, 1045, 5485, 8883, 8549, 11735, 35983, 161067}},
+{16879, 18, 58405, {1, 1, 5, 9, 23, 51, 79, 171, 87, 493, 1911, 3867, 3435, 493, 16639, 64085, 97797, 244959}},
+{16880, 18, 58417, {1, 1, 5, 11, 29, 33, 15, 107, 283, 545, 1995, 995, 7181, 3581, 8621, 42391, 117997, 397}},
+{16881, 18, 58424, {1, 3, 7, 13, 31, 25, 91, 75, 123, 451, 1023, 375, 4505, 13235, 8913, 34389, 77385, 168659}},
+{16882, 18, 58430, {1, 1, 3, 3, 3, 3, 85, 143, 173, 709, 1313, 593, 6931, 14609, 13803, 30305, 109089, 11473}},
+{16883, 18, 58452, {1, 3, 7, 5, 25, 45, 25, 223, 407, 597, 83, 2543, 3823, 13959, 9089, 28325, 29237, 57147}},
+{16884, 18, 58466, {1, 1, 1, 3, 25, 53, 57, 255, 231, 361, 109, 113, 6091, 13043, 28399, 29111, 57987, 137709}},
+{16885, 18, 58468, {1, 1, 1, 5, 11, 25, 53, 141, 275, 237, 1427, 1691, 6043, 8951, 10683, 17477, 117645, 89007}},
+{16886, 18, 58495, {1, 3, 3, 13, 7, 23, 73, 213, 285, 667, 1765, 1545, 1401, 12483, 6349, 47205, 25791, 16749}},
+{16887, 18, 58501, {1, 1, 1, 15, 31, 45, 105, 249, 385, 607, 723, 745, 7037, 15735, 3637, 29013, 127315, 165507}},
+{16888, 18, 58544, {1, 1, 7, 5, 21, 63, 95, 247, 161, 839, 939, 931, 4277, 7363, 8289, 55183, 122413, 152997}},
+{16889, 18, 58571, {1, 3, 7, 11, 15, 59, 91, 5, 209, 31, 1581, 979, 6289, 11443, 26641, 20183, 106907, 128647}},
+{16890, 18, 58609, {1, 1, 3, 15, 21, 33, 117, 89, 457, 405, 1971, 2211, 4379, 16189, 7933, 39351, 79813, 56373}},
+{16891, 18, 58610, {1, 3, 3, 9, 5, 9, 93, 75, 55, 271, 321, 3143, 3893, 2601, 26169, 35179, 43063, 156635}},
+{16892, 18, 58616, {1, 3, 3, 11, 29, 37, 95, 249, 221, 965, 423, 1637, 4663, 14839, 16757, 4261, 128453, 165593}},
+{16893, 18, 58619, {1, 3, 3, 7, 1, 55, 31, 235, 447, 839, 721, 1125, 6503, 4019, 23351, 37057, 96103, 143805}},
+{16894, 18, 58641, {1, 3, 7, 5, 31, 39, 7, 157, 469, 719, 1613, 395, 8133, 9753, 17323, 13849, 45409, 7601}},
+{16895, 18, 58642, {1, 3, 7, 7, 31, 37, 89, 215, 453, 659, 605, 3325, 987, 4611, 29667, 23229, 4201, 229675}},
+{16896, 18, 58648, {1, 1, 5, 5, 3, 3, 21, 249, 377, 343, 1751, 891, 5275, 14853, 32703, 51001, 6759, 162991}},
+{16897, 18, 58660, {1, 3, 1, 13, 11, 21, 55, 17, 495, 481, 1817, 919, 2495, 16367, 3343, 16997, 83437, 127791}},
+{16898, 18, 58675, {1, 3, 1, 1, 5, 57, 65, 223, 33, 491, 1953, 1521, 4903, 5007, 14583, 17321, 82231, 206299}},
+{16899, 18, 58678, {1, 3, 7, 11, 21, 45, 55, 141, 185, 379, 851, 885, 3385, 10311, 701, 2983, 71045, 171525}},
+{16900, 18, 58690, {1, 3, 7, 3, 29, 1, 53, 139, 7, 985, 291, 3949, 1163, 14637, 363, 59679, 121571, 121081}},
+{16901, 18, 58735, {1, 3, 7, 1, 31, 1, 111, 19, 421, 917, 1529, 1361, 4461, 12457, 9791, 19985, 77283, 117059}},
+{16902, 18, 58760, {1, 3, 1, 5, 7, 55, 93, 243, 477, 193, 1983, 489, 3735, 1391, 24035, 36395, 49101, 175861}},
+{16903, 18, 58766, {1, 1, 1, 11, 3, 25, 69, 167, 351, 193, 1299, 617, 7455, 2545, 18359, 9951, 119513, 128139}},
+{16904, 18, 58799, {1, 3, 3, 7, 5, 23, 101, 47, 385, 591, 345, 3501, 531, 3277, 28945, 18695, 58587, 87221}},
+{16905, 18, 58825, {1, 1, 3, 3, 29, 47, 5, 91, 365, 1, 2015, 323, 1601, 10615, 28975, 60263, 4813, 143351}},
+{16906, 18, 58836, {1, 3, 1, 7, 25, 43, 65, 211, 91, 759, 985, 3675, 5701, 4373, 27781, 51949, 40667, 102665}},
+{16907, 18, 58855, {1, 3, 3, 5, 3, 43, 91, 33, 247, 593, 849, 1955, 7769, 2307, 2877, 26037, 28907, 211021}},
+{16908, 18, 58864, {1, 3, 5, 15, 29, 29, 85, 97, 99, 979, 2033, 1415, 2955, 15733, 5567, 6241, 100195, 89077}},
+{16909, 18, 58910, {1, 3, 7, 13, 13, 19, 121, 211, 381, 73, 1131, 1881, 1693, 7873, 27557, 201, 24997, 202471}},
+{16910, 18, 58937, {1, 3, 1, 15, 15, 33, 11, 99, 479, 271, 1873, 1117, 3559, 6605, 15995, 44805, 12465, 71933}},
+{16911, 18, 58943, {1, 3, 5, 3, 19, 61, 15, 55, 423, 431, 1321, 3345, 1633, 4587, 24909, 54985, 31831, 181083}},
+{16912, 18, 58952, {1, 1, 3, 5, 29, 43, 49, 205, 415, 907, 1651, 57, 3043, 10763, 16255, 9567, 59453, 135637}},
+{16913, 18, 58965, {1, 3, 3, 1, 17, 11, 29, 33, 293, 203, 1687, 1565, 6131, 5435, 29023, 28425, 102151, 251913}},
+{16914, 18, 58988, {1, 1, 5, 7, 9, 9, 43, 191, 269, 681, 607, 3045, 2799, 14919, 8083, 57781, 19345, 49365}},
+{16915, 18, 58994, {1, 1, 5, 13, 11, 53, 67, 127, 117, 395, 575, 1651, 2601, 15019, 21413, 34433, 66847, 84159}},
+{16916, 18, 58999, {1, 3, 5, 5, 15, 59, 33, 41, 301, 699, 1479, 2285, 1813, 2459, 4775, 53213, 26039, 223155}},
+{16917, 18, 59006, {1, 3, 1, 15, 17, 57, 5, 211, 357, 175, 945, 3625, 3943, 12871, 26805, 29305, 8839, 107837}},
+{16918, 18, 59029, {1, 3, 5, 15, 21, 41, 105, 229, 265, 777, 2047, 767, 2901, 8873, 7631, 18545, 86697, 252965}},
+{16919, 18, 59033, {1, 1, 5, 11, 31, 63, 115, 119, 271, 921, 1221, 3341, 6083, 4293, 28581, 57323, 33889, 112577}},
+{16920, 18, 59069, {1, 1, 5, 5, 31, 21, 119, 93, 287, 139, 451, 2535, 3925, 10671, 21279, 55071, 76127, 248203}},
+{16921, 18, 59096, {1, 3, 7, 11, 19, 61, 61, 53, 203, 181, 963, 3581, 519, 14679, 7717, 31981, 128709, 197269}},
+{16922, 18, 59106, {1, 1, 1, 13, 25, 23, 89, 95, 221, 803, 1433, 3617, 3217, 2033, 7859, 14279, 107239, 5139}},
+{16923, 18, 59123, {1, 3, 7, 3, 29, 41, 87, 21, 71, 959, 1149, 2961, 7471, 11665, 16037, 5791, 110155, 35365}},
+{16924, 18, 59130, {1, 1, 1, 11, 21, 49, 101, 45, 311, 529, 1301, 1377, 983, 3937, 6967, 8413, 33511, 9617}},
+{16925, 18, 59152, {1, 3, 3, 5, 15, 41, 107, 49, 409, 537, 289, 3351, 5307, 16221, 907, 39847, 61579, 161487}},
+{16926, 18, 59162, {1, 1, 3, 11, 5, 49, 71, 107, 431, 469, 453, 1367, 7811, 10485, 3861, 62797, 82025, 253785}},
+{16927, 18, 59180, {1, 1, 3, 3, 27, 19, 89, 13, 445, 915, 1259, 1423, 3987, 3661, 18183, 18521, 18831, 191447}},
+{16928, 18, 59183, {1, 1, 7, 5, 13, 15, 9, 89, 129, 949, 1733, 245, 6815, 8477, 1273, 34737, 33027, 191415}},
+{16929, 18, 59195, {1, 1, 7, 15, 25, 63, 83, 195, 319, 987, 1395, 3559, 6287, 5139, 25967, 48711, 58467, 110983}},
+{16930, 18, 59205, {1, 1, 3, 9, 5, 3, 35, 171, 15, 883, 915, 2451, 871, 11741, 32715, 33475, 81711, 259157}},
+{16931, 18, 59210, {1, 1, 7, 13, 23, 63, 33, 11, 117, 351, 1701, 671, 6753, 5, 9477, 54701, 65507, 242621}},
+{16932, 18, 59217, {1, 3, 7, 11, 21, 37, 127, 143, 369, 819, 1369, 93, 7009, 3773, 30153, 30181, 120783, 137857}},
+{16933, 18, 59218, {1, 3, 3, 7, 27, 61, 15, 141, 67, 815, 1449, 1129, 4703, 3811, 3067, 61697, 8881, 110957}},
+{16934, 18, 59236, {1, 1, 7, 13, 31, 21, 59, 75, 335, 851, 503, 251, 4869, 11789, 30871, 14641, 19319, 156843}},
+{16935, 18, 59267, {1, 3, 5, 5, 9, 41, 11, 67, 231, 945, 37, 2925, 5723, 9053, 13477, 59735, 75181, 60335}},
+{16936, 18, 59298, {1, 1, 5, 1, 13, 39, 81, 43, 363, 611, 1661, 3833, 7387, 10531, 21319, 55579, 102705, 103009}},
+{16937, 18, 59318, {1, 3, 1, 7, 23, 25, 67, 179, 327, 401, 1693, 1453, 4773, 6363, 27169, 49747, 29055, 49145}},
+{16938, 18, 59321, {1, 3, 5, 7, 13, 47, 5, 175, 369, 921, 507, 113, 6069, 10919, 11099, 19795, 95819, 52419}},
+{16939, 18, 59327, {1, 1, 1, 5, 5, 53, 93, 47, 75, 837, 109, 3691, 6961, 10715, 14269, 63791, 1941, 136899}},
+{16940, 18, 59354, {1, 1, 1, 3, 1, 63, 57, 117, 157, 327, 879, 2411, 3987, 15393, 8503, 29829, 77795, 121307}},
+{16941, 18, 59363, {1, 3, 5, 1, 25, 5, 47, 45, 433, 121, 607, 1233, 6433, 3031, 16369, 58589, 79357, 151353}},
+{16942, 18, 59377, {1, 1, 1, 1, 9, 15, 77, 163, 225, 445, 1479, 1267, 2571, 2661, 21489, 5433, 123969, 191967}},
+{16943, 18, 59389, {1, 1, 7, 1, 9, 49, 17, 19, 449, 113, 1289, 2335, 3309, 2595, 17819, 18481, 86605, 125911}},
+{16944, 18, 59403, {1, 1, 5, 11, 11, 23, 65, 147, 257, 625, 1901, 913, 5711, 8159, 16237, 25133, 100059, 11395}},
+{16945, 18, 59420, {1, 3, 7, 13, 5, 33, 89, 189, 171, 185, 751, 2915, 5025, 15981, 14853, 12229, 52829, 59953}},
+{16946, 18, 59444, {1, 3, 1, 13, 3, 37, 15, 87, 463, 655, 1927, 2705, 1885, 14801, 3491, 52835, 81761, 90273}},
+{16947, 18, 59471, {1, 1, 7, 3, 5, 15, 29, 255, 199, 225, 647, 3215, 6795, 3821, 31763, 31059, 65495, 89981}},
+{16948, 18, 59476, {1, 1, 7, 7, 9, 25, 11, 85, 111, 283, 507, 2077, 2993, 5415, 31785, 16495, 82361, 122105}},
+{16949, 18, 59483, {1, 1, 3, 11, 27, 21, 127, 175, 397, 419, 1115, 2285, 223, 3881, 4187, 53759, 115035, 181647}},
+{16950, 18, 59502, {1, 3, 7, 11, 27, 31, 29, 233, 137, 827, 1009, 3879, 7595, 12989, 27655, 8517, 28083, 214985}},
+{16951, 18, 59509, {1, 3, 5, 9, 25, 23, 85, 191, 475, 445, 621, 1341, 4045, 4299, 24933, 32765, 20219, 86949}},
+{16952, 18, 59538, {1, 3, 1, 5, 25, 35, 121, 33, 199, 405, 163, 3487, 1087, 743, 21989, 47273, 49221, 124831}},
+{16953, 18, 59556, {1, 1, 5, 1, 7, 3, 91, 15, 335, 351, 1311, 777, 4303, 7203, 19465, 9135, 32251, 69805}},
+{16954, 18, 59571, {1, 3, 3, 7, 23, 55, 73, 77, 189, 801, 1877, 1901, 2675, 1015, 3041, 35925, 125903, 126227}},
+{16955, 18, 59592, {1, 3, 3, 1, 1, 23, 105, 75, 435, 743, 651, 1045, 579, 13637, 14821, 62683, 95229, 156475}},
+{16956, 18, 59610, {1, 3, 3, 5, 1, 53, 89, 239, 439, 195, 189, 731, 1805, 15123, 23315, 47737, 29167, 112081}},
+{16957, 18, 59654, {1, 1, 5, 7, 31, 11, 119, 191, 155, 61, 247, 915, 5813, 995, 20093, 23379, 118969, 65001}},
+{16958, 18, 59677, {1, 3, 7, 3, 1, 61, 45, 85, 295, 269, 539, 1787, 6639, 11093, 11303, 18509, 77637, 200743}},
+{16959, 18, 59699, {1, 3, 1, 1, 13, 17, 75, 51, 199, 151, 1529, 1443, 4983, 6723, 6071, 34711, 39159, 5441}},
+{16960, 18, 59716, {1, 3, 3, 3, 31, 15, 91, 125, 261, 683, 1769, 1697, 2761, 11373, 13607, 24933, 19079, 55497}},
+{16961, 18, 59719, {1, 1, 1, 15, 21, 49, 117, 99, 29, 969, 463, 3869, 1251, 8815, 16443, 46861, 82839, 233325}},
+{16962, 18, 59737, {1, 3, 5, 3, 27, 39, 89, 225, 161, 63, 61, 2875, 4037, 10413, 5067, 27893, 78825, 250207}},
+{16963, 18, 59747, {1, 1, 1, 9, 13, 49, 93, 11, 23, 25, 2003, 57, 3065, 11241, 13935, 2969, 44235, 39287}},
+{16964, 18, 59789, {1, 3, 3, 9, 21, 5, 55, 247, 193, 523, 575, 1235, 3277, 5253, 5293, 7919, 7573, 168809}},
+{16965, 18, 59807, {1, 3, 1, 13, 29, 39, 43, 21, 511, 205, 303, 703, 3861, 2467, 3909, 31597, 51081, 9863}},
+{16966, 18, 59811, {1, 3, 7, 1, 25, 55, 11, 131, 5, 49, 371, 1683, 1907, 5661, 1015, 15171, 101477, 11221}},
+{16967, 18, 59818, {1, 3, 5, 5, 9, 15, 93, 245, 357, 703, 701, 3675, 4527, 9225, 16137, 55433, 81887, 99153}},
+{16968, 18, 59825, {1, 1, 3, 3, 11, 1, 39, 251, 291, 599, 643, 231, 4031, 7055, 99, 14039, 81811, 184251}},
+{16969, 18, 59826, {1, 3, 5, 13, 29, 55, 11, 117, 325, 401, 2013, 3235, 995, 9255, 2741, 8211, 71451, 180619}},
+{16970, 18, 59832, {1, 1, 1, 5, 31, 41, 41, 175, 247, 3, 739, 1391, 3311, 5975, 16921, 4291, 75065, 161745}},
+{16971, 18, 59858, {1, 1, 7, 13, 23, 19, 13, 149, 203, 351, 2033, 1867, 3871, 14437, 3793, 17399, 99577, 171605}},
+{16972, 18, 59860, {1, 1, 5, 11, 7, 9, 1, 195, 261, 977, 315, 3771, 1179, 16281, 20747, 56309, 108609, 209205}},
+{16973, 18, 59873, {1, 3, 3, 5, 19, 15, 123, 153, 325, 601, 393, 753, 93, 4803, 24343, 42645, 128209, 45773}},
+{16974, 18, 59876, {1, 3, 1, 13, 3, 29, 97, 95, 115, 539, 155, 2789, 1277, 13127, 20383, 52807, 97295, 54589}},
+{16975, 18, 59907, {1, 1, 1, 3, 25, 59, 27, 149, 365, 317, 773, 3379, 5931, 14637, 19881, 37283, 118027, 21557}},
+{16976, 18, 59928, {1, 3, 5, 3, 25, 11, 101, 221, 199, 689, 515, 2255, 6107, 6259, 2853, 19039, 117089, 107181}},
+{16977, 18, 59933, {1, 3, 5, 7, 29, 63, 19, 113, 249, 147, 737, 3959, 209, 7001, 24263, 20443, 99923, 145709}},
+{16978, 18, 59938, {1, 1, 5, 9, 25, 37, 69, 41, 87, 369, 1913, 2255, 7581, 5301, 25751, 24981, 1183, 171969}},
+{16979, 18, 59940, {1, 3, 3, 1, 9, 25, 55, 5, 267, 295, 43, 819, 4569, 7065, 31527, 57811, 48721, 107707}},
+{16980, 18, 59958, {1, 1, 7, 9, 19, 19, 1, 199, 371, 1003, 597, 2097, 4071, 6185, 879, 13545, 30033, 120313}},
+{16981, 18, 59984, {1, 1, 1, 7, 9, 11, 51, 155, 309, 493, 899, 3121, 2085, 10541, 21979, 4725, 70381, 69643}},
+{16982, 18, 60020, {1, 1, 1, 1, 13, 45, 123, 119, 459, 295, 1005, 4093, 393, 11063, 27235, 28209, 1671, 215619}},
+{16983, 18, 60024, {1, 1, 7, 13, 19, 25, 125, 255, 509, 529, 1577, 3221, 4051, 7697, 2065, 42597, 86295, 131719}},
+{16984, 18, 60033, {1, 3, 3, 9, 19, 13, 21, 199, 97, 949, 1297, 379, 1801, 13247, 22563, 49517, 22757, 87371}},
+{16985, 18, 60034, {1, 3, 3, 1, 17, 63, 109, 175, 301, 565, 1181, 465, 3457, 7175, 21225, 33149, 122169, 148043}},
+{16986, 18, 60063, {1, 1, 1, 1, 5, 7, 21, 251, 53, 369, 955, 583, 4703, 9729, 15853, 55701, 29317, 27}},
+{16987, 18, 60070, {1, 3, 3, 1, 31, 3, 53, 57, 231, 441, 109, 149, 8107, 2303, 29729, 42279, 46909, 209877}},
+{16988, 18, 60087, {1, 1, 1, 11, 23, 57, 63, 189, 259, 657, 1653, 1155, 2885, 3317, 22559, 3145, 19151, 172507}},
+{16989, 18, 60091, {1, 3, 7, 5, 31, 63, 103, 147, 287, 685, 1197, 99, 4907, 12335, 12001, 20303, 75503, 231259}},
+{16990, 18, 60105, {1, 3, 3, 13, 15, 33, 63, 11, 99, 299, 97, 2669, 3635, 9969, 1525, 36555, 85215, 86915}},
+{16991, 18, 60126, {1, 3, 7, 5, 25, 47, 25, 61, 227, 939, 1719, 245, 2389, 14663, 30671, 22667, 38873, 245509}},
+{16992, 18, 60132, {1, 1, 3, 5, 25, 15, 105, 203, 57, 961, 1941, 1241, 3163, 6203, 19631, 10383, 19235, 57569}},
+{16993, 18, 60154, {1, 1, 3, 9, 1, 35, 41, 3, 449, 87, 641, 269, 1529, 14559, 16571, 4863, 21625, 921}},
+{16994, 18, 60174, {1, 1, 7, 11, 25, 53, 85, 209, 181, 417, 1657, 2117, 4581, 7069, 15533, 64475, 82381, 146943}},
+{16995, 18, 60181, {1, 3, 1, 7, 17, 53, 5, 199, 347, 887, 1041, 595, 1843, 10931, 30559, 42849, 73723, 220473}},
+{16996, 18, 60198, {1, 3, 7, 7, 21, 53, 105, 21, 141, 575, 1965, 2187, 7293, 13675, 2471, 1259, 42485, 62911}},
+{16997, 18, 60212, {1, 1, 3, 9, 5, 27, 21, 101, 101, 71, 1215, 3235, 2451, 14835, 27817, 30079, 124301, 253691}},
+{16998, 18, 60247, {1, 1, 7, 1, 11, 37, 105, 127, 115, 157, 279, 2425, 2139, 131, 22717, 40803, 74867, 86021}},
+{16999, 18, 60254, {1, 1, 1, 7, 11, 59, 95, 61, 255, 523, 501, 2895, 7531, 8151, 18393, 42069, 120809, 236537}},
+{17000, 18, 60275, {1, 1, 1, 7, 17, 23, 31, 59, 377, 187, 873, 1565, 3459, 2975, 11633, 13247, 13095, 193803}},
+{17001, 18, 60284, {1, 3, 7, 1, 25, 3, 85, 5, 485, 451, 1385, 1663, 4825, 14019, 29437, 33717, 105343, 161335}},
+{17002, 18, 60317, {1, 1, 1, 3, 27, 43, 71, 167, 425, 579, 1739, 3557, 7403, 2023, 6533, 61177, 119273, 85229}},
+{17003, 18, 60318, {1, 1, 7, 3, 31, 37, 19, 213, 373, 505, 97, 3669, 7005, 2205, 26519, 61999, 18395, 25967}},
+{17004, 18, 60346, {1, 3, 3, 7, 29, 17, 9, 137, 265, 875, 887, 3029, 3295, 11619, 8357, 46241, 23543, 43191}},
+{17005, 18, 60360, {1, 1, 5, 1, 25, 43, 33, 133, 65, 7, 1581, 3577, 5997, 6129, 30649, 18923, 56459, 227869}},
+{17006, 18, 60380, {1, 1, 5, 13, 27, 45, 27, 111, 429, 565, 1449, 1475, 6613, 4469, 16083, 42349, 66843, 214875}},
+{17007, 18, 60389, {1, 3, 1, 1, 21, 21, 107, 7, 15, 675, 233, 4021, 1097, 1393, 6445, 3323, 102435, 249355}},
+{17008, 18, 60393, {1, 1, 5, 15, 17, 51, 99, 249, 437, 667, 1921, 2371, 3813, 10543, 19, 39079, 116825, 242821}},
+{17009, 18, 60401, {1, 1, 1, 1, 7, 15, 27, 29, 161, 37, 1847, 287, 4379, 1399, 24547, 60361, 68131, 232883}},
+{17010, 18, 60407, {1, 1, 3, 9, 17, 21, 41, 169, 61, 771, 241, 1435, 4151, 1789, 12195, 27239, 62371, 165145}},
+{17011, 18, 60408, {1, 3, 5, 15, 31, 19, 127, 181, 463, 183, 749, 253, 2403, 1363, 3965, 7953, 124025, 226691}},
+{17012, 18, 60462, {1, 1, 3, 7, 17, 57, 85, 89, 17, 33, 819, 2191, 1525, 15651, 23483, 26027, 86379, 40191}},
+{17013, 18, 60484, {1, 1, 5, 1, 9, 45, 65, 65, 359, 5, 531, 2581, 6313, 13219, 6005, 36215, 16275, 208253}},
+{17014, 18, 60505, {1, 3, 1, 1, 23, 15, 51, 43, 85, 461, 773, 219, 2681, 3377, 9797, 54469, 112871, 231533}},
+{17015, 18, 60521, {1, 3, 7, 7, 15, 9, 97, 115, 301, 493, 1085, 2021, 2305, 15003, 11381, 9339, 63015, 179115}},
+{17016, 18, 60527, {1, 3, 5, 3, 3, 61, 111, 103, 283, 7, 143, 353, 7815, 7901, 25795, 7577, 92991, 228315}},
+{17017, 18, 60532, {1, 1, 7, 13, 29, 3, 53, 105, 83, 531, 497, 729, 1375, 7063, 18655, 35219, 9671, 102913}},
+{17018, 18, 60545, {1, 1, 5, 15, 11, 7, 65, 31, 15, 921, 743, 1469, 5669, 5437, 20019, 28123, 5717, 6181}},
+{17019, 18, 60546, {1, 3, 3, 15, 19, 1, 3, 183, 315, 595, 1033, 3259, 7815, 8281, 32103, 8699, 59149, 56657}},
+{17020, 18, 60555, {1, 1, 1, 7, 9, 1, 87, 81, 267, 637, 1617, 2113, 487, 23, 11213, 29211, 92715, 177767}},
+{17021, 18, 60563, {1, 3, 5, 13, 29, 37, 31, 55, 343, 759, 813, 2945, 7189, 4821, 30661, 38373, 2793, 98683}},
+{17022, 18, 60586, {1, 3, 5, 7, 9, 43, 113, 145, 103, 303, 1065, 3781, 3527, 9449, 17355, 38301, 74859, 30735}},
+{17023, 18, 60626, {1, 1, 1, 1, 3, 53, 53, 27, 119, 701, 1777, 3959, 5911, 8473, 24997, 17557, 11593, 201381}},
+{17024, 18, 60637, {1, 3, 3, 9, 3, 3, 107, 115, 423, 531, 735, 931, 8053, 4661, 1919, 29551, 62515, 210255}},
+{17025, 18, 60665, {1, 1, 3, 9, 21, 21, 117, 67, 301, 49, 2025, 781, 7951, 15719, 27287, 34551, 115241, 243981}},
+{17026, 18, 60673, {1, 1, 7, 9, 9, 25, 87, 229, 375, 353, 445, 3169, 1865, 7305, 11175, 47081, 28609, 107301}},
+{17027, 18, 60685, {1, 3, 3, 11, 7, 31, 19, 177, 17, 535, 1353, 2587, 7723, 8039, 13607, 5017, 104937, 207761}},
+{17028, 18, 60703, {1, 1, 5, 3, 11, 27, 29, 193, 235, 435, 1451, 3487, 5749, 4825, 9487, 53933, 92061, 223305}},
+{17029, 18, 60734, {1, 3, 3, 3, 5, 5, 99, 237, 91, 945, 1373, 3303, 3079, 5345, 6843, 34131, 62851, 259561}},
+{17030, 18, 60742, {1, 1, 3, 7, 7, 25, 11, 27, 329, 37, 307, 771, 659, 13045, 25767, 18887, 54407, 251313}},
+{17031, 18, 60790, {1, 1, 1, 11, 29, 59, 37, 121, 281, 55, 495, 159, 3925, 4447, 14825, 24831, 103147, 211951}},
+{17032, 18, 60830, {1, 3, 3, 7, 23, 31, 59, 67, 303, 383, 1179, 2347, 4001, 14797, 14579, 55365, 112239, 65309}},
+{17033, 18, 60848, {1, 3, 3, 9, 15, 17, 61, 123, 339, 319, 765, 1517, 1269, 69, 9065, 32347, 21377, 38449}},
+{17034, 18, 60857, {1, 3, 5, 3, 7, 35, 71, 63, 251, 457, 351, 385, 4041, 11489, 14511, 11875, 45307, 205041}},
+{17035, 18, 60871, {1, 1, 1, 7, 1, 25, 115, 195, 41, 1001, 835, 767, 7991, 7475, 22397, 36899, 77255, 194827}},
+{17036, 18, 60875, {1, 3, 3, 11, 7, 49, 45, 13, 373, 167, 741, 2569, 3781, 1131, 2909, 40387, 77877, 201859}},
+{17037, 18, 60913, {1, 3, 5, 3, 17, 11, 123, 137, 65, 835, 1385, 1157, 7387, 12301, 5759, 13137, 30595, 50923}},
+{17038, 18, 60923, {1, 1, 5, 7, 1, 55, 57, 97, 377, 223, 115, 2515, 2565, 14965, 10485, 23957, 108239, 160707}},
+{17039, 18, 60972, {1, 3, 1, 9, 15, 17, 81, 65, 387, 275, 997, 1485, 4129, 999, 4915, 55867, 103799, 191829}},
+{17040, 18, 60989, {1, 1, 1, 5, 15, 5, 35, 167, 249, 419, 267, 503, 469, 3163, 19939, 65501, 88573, 11621}},
+{17041, 18, 61001, {1, 3, 3, 13, 7, 9, 101, 125, 371, 97, 1855, 1755, 4103, 12283, 18655, 5965, 17743, 254779}},
+{17042, 18, 61002, {1, 1, 3, 7, 13, 15, 119, 227, 451, 863, 1005, 491, 6515, 717, 12783, 14161, 106249, 185297}},
+{17043, 18, 61019, {1, 1, 7, 13, 17, 23, 95, 143, 133, 219, 897, 2291, 7469, 923, 22323, 60583, 2457, 197231}},
+{17044, 18, 61022, {1, 1, 1, 11, 3, 25, 115, 187, 319, 999, 867, 1725, 6969, 239, 2527, 55283, 91099, 252153}},
+{17045, 18, 61059, {1, 1, 7, 9, 3, 37, 107, 25, 425, 95, 631, 2831, 1265, 11509, 18865, 39791, 22281, 220517}},
+{17046, 18, 61065, {1, 3, 5, 1, 1, 47, 121, 173, 489, 241, 3, 3707, 7081, 5341, 23143, 7321, 30605, 191665}},
+{17047, 18, 61066, {1, 1, 7, 7, 7, 27, 23, 43, 145, 11, 1155, 691, 6993, 9509, 5991, 40705, 58215, 202915}},
+{17048, 18, 61071, {1, 3, 5, 1, 31, 1, 7, 189, 379, 431, 417, 3843, 3885, 3263, 16333, 58123, 68307, 33795}},
+{17049, 18, 61076, {1, 1, 5, 5, 19, 27, 19, 217, 509, 535, 287, 1637, 4829, 2665, 15393, 35185, 125335, 10909}},
+{17050, 18, 61141, {1, 3, 5, 7, 25, 13, 67, 243, 255, 1021, 1203, 821, 7811, 149, 26731, 12913, 18171, 101385}},
+{17051, 18, 61148, {1, 1, 1, 3, 25, 61, 59, 207, 449, 789, 1831, 1731, 513, 10099, 291, 1963, 100233, 21847}},
+{17052, 18, 61167, {1, 1, 7, 1, 27, 19, 45, 81, 479, 31, 707, 2669, 3589, 15411, 12089, 38235, 60897, 135451}},
+{17053, 18, 61190, {1, 3, 5, 15, 11, 3, 113, 169, 171, 21, 1291, 2031, 2023, 5783, 6137, 54637, 50247, 233753}},
+{17054, 18, 61218, {1, 1, 5, 1, 11, 13, 73, 97, 269, 801, 1015, 1329, 1779, 15225, 24251, 35191, 8619, 130993}},
+{17055, 18, 61247, {1, 1, 7, 9, 9, 19, 35, 255, 505, 513, 547, 405, 3065, 4965, 30877, 50091, 81319, 29273}},
+{17056, 18, 61256, {1, 1, 1, 9, 7, 61, 45, 75, 343, 911, 1683, 453, 1225, 10939, 19901, 63685, 123507, 252027}},
+{17057, 18, 61289, {1, 1, 5, 11, 21, 55, 37, 161, 143, 463, 1937, 3349, 2953, 14827, 7893, 26581, 128459, 72325}},
+{17058, 18, 61292, {1, 3, 5, 9, 31, 57, 115, 77, 225, 859, 621, 731, 5677, 759, 20773, 52285, 65555, 4303}},
+{17059, 18, 61307, {1, 1, 3, 15, 23, 15, 49, 171, 137, 449, 855, 565, 5579, 5957, 13643, 8979, 90327, 116349}},
+{17060, 18, 61319, {1, 1, 3, 5, 9, 13, 27, 43, 391, 595, 731, 101, 7121, 13555, 29181, 38273, 42309, 175297}},
+{17061, 18, 61353, {1, 1, 3, 11, 3, 59, 17, 143, 251, 47, 1391, 1297, 23, 15871, 13153, 44081, 65423, 54875}},
+{17062, 18, 61362, {1, 3, 7, 11, 25, 43, 3, 163, 273, 277, 755, 2743, 5909, 10841, 31331, 64131, 13945, 91557}},
+{17063, 18, 61379, {1, 3, 1, 13, 31, 35, 5, 165, 417, 623, 1083, 1221, 1051, 8917, 6725, 11385, 76315, 119837}},
+{17064, 18, 61382, {1, 1, 5, 3, 21, 53, 47, 247, 471, 877, 709, 2425, 3, 1963, 24331, 52151, 98859, 119033}},
+{17065, 18, 61433, {1, 1, 7, 3, 29, 29, 43, 59, 503, 891, 763, 2927, 1613, 9091, 10393, 36003, 61147, 3437}},
+{17066, 18, 61434, {1, 1, 5, 15, 27, 59, 73, 163, 425, 855, 349, 3451, 5779, 10523, 9103, 46477, 129873, 39091}},
+{17067, 18, 61454, {1, 3, 7, 15, 25, 45, 77, 171, 467, 1017, 1553, 1877, 5507, 3909, 12157, 60441, 98261, 37781}},
+{17068, 18, 61461, {1, 1, 7, 13, 13, 39, 99, 51, 197, 327, 1101, 2679, 8025, 11853, 7763, 62537, 96999, 88673}},
+{17069, 18, 61475, {1, 3, 1, 11, 5, 61, 29, 219, 471, 387, 319, 433, 5383, 3933, 27603, 61171, 104711, 233295}},
+{17070, 18, 61481, {1, 3, 5, 11, 15, 23, 91, 119, 207, 717, 1333, 783, 437, 13073, 10923, 27049, 87233, 174899}},
+{17071, 18, 61534, {1, 1, 1, 1, 13, 19, 109, 139, 183, 299, 1023, 3265, 5153, 6307, 27879, 55311, 95201, 19481}},
+{17072, 18, 61547, {1, 1, 5, 11, 13, 61, 81, 115, 53, 483, 693, 3527, 5033, 8527, 31345, 46155, 12403, 126815}},
+{17073, 18, 61564, {1, 3, 7, 3, 27, 7, 73, 227, 269, 683, 719, 763, 5417, 9523, 13625, 6945, 116225, 223093}},
+{17074, 18, 61568, {1, 3, 5, 9, 21, 51, 111, 157, 451, 247, 1375, 1631, 2783, 3371, 22713, 34153, 41949, 141351}},
+{17075, 18, 61588, {1, 1, 5, 1, 21, 19, 45, 69, 41, 453, 523, 3163, 7351, 4467, 18865, 35371, 129577, 78039}},
+{17076, 18, 61604, {1, 3, 5, 1, 29, 33, 13, 19, 341, 321, 117, 1187, 7021, 5785, 5553, 58055, 113557, 46957}},
+{17077, 18, 61626, {1, 1, 5, 5, 13, 59, 47, 59, 69, 125, 1491, 2813, 5005, 5973, 3145, 27579, 7763, 129949}},
+{17078, 18, 61645, {1, 1, 7, 11, 11, 7, 117, 235, 407, 749, 1925, 1735, 4499, 13027, 19355, 1981, 105657, 242853}},
+{17079, 18, 61646, {1, 1, 7, 1, 15, 19, 5, 247, 203, 707, 809, 2085, 5801, 9947, 569, 9883, 109861, 156751}},
+{17080, 18, 61654, {1, 3, 5, 3, 13, 59, 67, 181, 261, 873, 1589, 2249, 7213, 14625, 28403, 41101, 73439, 46873}},
+{17081, 18, 61663, {1, 1, 5, 7, 3, 63, 79, 115, 123, 485, 1373, 3781, 4315, 4627, 29003, 64101, 67521, 184053}},
+{17082, 18, 61669, {1, 1, 3, 9, 11, 57, 93, 243, 505, 189, 449, 643, 5267, 7447, 32265, 44095, 63015, 36905}},
+{17083, 18, 61702, {1, 3, 7, 13, 25, 59, 31, 93, 401, 41, 183, 759, 2473, 8705, 8211, 13543, 59749, 235217}},
+{17084, 18, 61705, {1, 1, 5, 5, 29, 3, 65, 133, 325, 239, 649, 3225, 4095, 11691, 4479, 15419, 100551, 261981}},
+{17085, 18, 61714, {1, 3, 7, 1, 17, 11, 63, 97, 431, 161, 1437, 3679, 1643, 10583, 20731, 45919, 94093, 147067}},
+{17086, 18, 61739, {1, 1, 7, 1, 25, 13, 63, 155, 221, 345, 189, 1199, 5465, 14767, 26263, 54093, 23697, 71231}},
+{17087, 18, 61744, {1, 1, 7, 3, 3, 19, 23, 75, 381, 339, 1989, 1137, 6449, 1437, 32279, 17195, 117423, 259311}},
+{17088, 18, 61749, {1, 3, 5, 3, 27, 45, 117, 113, 129, 585, 2019, 807, 5573, 7407, 9957, 8741, 52333, 115607}},
+{17089, 18, 61776, {1, 1, 3, 7, 9, 5, 77, 9, 417, 725, 429, 1657, 5445, 1901, 28745, 26807, 111743, 169739}},
+{17090, 18, 61786, {1, 3, 1, 5, 7, 63, 51, 183, 117, 383, 435, 755, 7849, 5997, 32697, 5789, 5189, 80645}},
+{17091, 18, 61822, {1, 1, 3, 15, 5, 47, 105, 175, 41, 275, 1441, 3183, 3651, 9561, 5749, 20431, 45969, 59473}},
+{17092, 18, 61826, {1, 1, 1, 11, 13, 35, 19, 129, 125, 35, 339, 3099, 5337, 15605, 10213, 1171, 61869, 216681}},
+{17093, 18, 61862, {1, 3, 7, 1, 7, 25, 23, 9, 431, 73, 1803, 3969, 7853, 12845, 8075, 14553, 124825, 50561}},
+{17094, 18, 61865, {1, 1, 1, 7, 29, 21, 79, 247, 313, 143, 59, 2689, 5643, 827, 26597, 56423, 107903, 180809}},
+{17095, 18, 61868, {1, 3, 7, 1, 3, 3, 25, 39, 269, 529, 67, 3703, 2163, 12417, 6307, 29883, 40303, 171831}},
+{17096, 18, 61879, {1, 3, 7, 13, 1, 19, 71, 245, 267, 105, 749, 1203, 7953, 1881, 9273, 4629, 71793, 195393}},
+{17097, 18, 61885, {1, 1, 1, 15, 3, 49, 53, 145, 47, 959, 1107, 1361, 4517, 16055, 32119, 58433, 110123, 81487}},
+{17098, 18, 61900, {1, 3, 1, 1, 5, 3, 99, 93, 257, 659, 19, 3789, 203, 6183, 11571, 54845, 80591, 243303}},
+{17099, 18, 61905, {1, 3, 7, 1, 1, 7, 27, 11, 255, 261, 769, 2877, 6013, 8431, 25669, 43591, 122501, 208947}},
+{17100, 18, 61906, {1, 1, 7, 7, 3, 25, 117, 19, 15, 843, 401, 613, 801, 10579, 129, 12249, 107465, 95953}},
+{17101, 18, 61962, {1, 1, 3, 5, 1, 35, 95, 93, 243, 937, 1543, 3443, 175, 2199, 12521, 2521, 87225, 38631}},
+{17102, 18, 61967, {1, 3, 7, 13, 21, 29, 81, 139, 247, 937, 1835, 3887, 6917, 15709, 20947, 3341, 125521, 247195}},
+{17103, 18, 61972, {1, 1, 5, 11, 31, 19, 111, 215, 191, 347, 1215, 1757, 6751, 3099, 755, 43753, 2813, 159123}},
+{17104, 18, 61976, {1, 3, 3, 3, 31, 5, 35, 87, 293, 581, 1501, 3255, 7041, 5233, 2053, 63403, 37943, 12115}},
+{17105, 18, 62027, {1, 1, 7, 15, 11, 31, 5, 123, 225, 703, 733, 635, 2193, 3059, 30933, 43149, 79409, 106995}},
+{17106, 18, 62048, {1, 3, 1, 7, 11, 21, 45, 135, 99, 883, 85, 3861, 6617, 7169, 29887, 329, 42487, 129001}},
+{17107, 18, 62051, {1, 1, 1, 3, 11, 53, 31, 245, 141, 667, 1615, 3311, 1475, 12785, 3509, 47153, 105747, 141275}},
+{17108, 18, 62066, {1, 1, 3, 15, 7, 15, 55, 13, 465, 707, 1299, 1393, 399, 9229, 4897, 50313, 1275, 131811}},
+{17109, 18, 62081, {1, 1, 3, 15, 5, 57, 43, 19, 335, 929, 459, 327, 5715, 7173, 27643, 535, 46221, 144619}},
+{17110, 18, 62108, {1, 3, 5, 1, 9, 1, 63, 187, 71, 899, 969, 1349, 1553, 15593, 22783, 211, 41643, 163981}},
+{17111, 18, 62178, {1, 1, 1, 13, 3, 63, 35, 37, 311, 253, 1393, 629, 5299, 14837, 15053, 28041, 81541, 149037}},
+{17112, 18, 62189, {1, 3, 3, 11, 13, 45, 17, 165, 497, 751, 635, 2939, 6891, 14877, 32763, 20671, 106845, 258033}},
+{17113, 18, 62224, {1, 1, 3, 11, 21, 7, 3, 247, 243, 219, 1651, 929, 2737, 9507, 31819, 61389, 14593, 137207}},
+{17114, 18, 62229, {1, 1, 7, 5, 15, 33, 31, 29, 467, 75, 523, 1067, 7313, 11715, 26581, 47037, 106385, 199859}},
+{17115, 18, 62282, {1, 3, 1, 7, 19, 59, 35, 35, 3, 899, 799, 1379, 5113, 7653, 17977, 42197, 52397, 179705}},
+{17116, 18, 62318, {1, 1, 7, 5, 13, 13, 67, 157, 181, 633, 21, 3107, 6301, 7523, 23981, 9079, 88875, 195869}},
+{17117, 18, 62320, {1, 3, 7, 9, 7, 9, 115, 49, 293, 691, 1729, 4087, 6353, 963, 12433, 22135, 96383, 127745}},
+{17118, 18, 62329, {1, 3, 7, 7, 21, 5, 43, 247, 89, 275, 1219, 311, 5677, 7161, 13853, 38613, 84935, 223563}},
+{17119, 18, 62341, {1, 3, 1, 5, 29, 61, 17, 235, 127, 979, 973, 1463, 371, 5567, 6949, 34165, 3075, 169347}},
+{17120, 18, 62353, {1, 3, 3, 15, 25, 51, 43, 73, 7, 123, 1761, 1461, 5291, 14271, 19335, 45379, 123469, 190439}},
+{17121, 18, 62359, {1, 3, 3, 13, 19, 57, 25, 161, 351, 703, 819, 753, 3101, 9043, 19179, 22665, 118533, 45817}},
+{17122, 18, 62382, {1, 3, 5, 15, 3, 33, 15, 63, 251, 87, 611, 1187, 2639, 6001, 16135, 27505, 71077, 34101}},
+{17123, 18, 62389, {1, 1, 5, 3, 31, 5, 13, 239, 119, 803, 1881, 3479, 1933, 6421, 21411, 62923, 76851, 211029}},
+{17124, 18, 62396, {1, 3, 1, 11, 13, 59, 13, 77, 87, 343, 1733, 3493, 5937, 15733, 7763, 12839, 68639, 70965}},
+{17125, 18, 62425, {1, 1, 1, 3, 5, 19, 73, 109, 197, 1007, 1369, 623, 3249, 9263, 12463, 37105, 40599, 115323}},
+{17126, 18, 62455, {1, 1, 7, 1, 21, 23, 27, 221, 117, 27, 1811, 837, 7355, 8083, 12657, 34137, 102025, 6511}},
+{17127, 18, 62484, {1, 3, 7, 13, 13, 29, 7, 103, 511, 449, 1443, 775, 3503, 1057, 8809, 48583, 27649, 206219}},
+{17128, 18, 62494, {1, 1, 7, 1, 15, 37, 53, 205, 393, 691, 989, 3493, 7813, 12371, 18125, 62569, 57075, 100625}},
+{17129, 18, 62507, {1, 3, 5, 7, 11, 11, 55, 7, 487, 861, 1589, 1003, 607, 10031, 22481, 41905, 67791, 168167}},
+{17130, 18, 62512, {1, 3, 1, 9, 21, 31, 25, 187, 315, 379, 961, 2721, 3395, 12321, 21693, 56977, 73197, 160023}},
+{17131, 18, 62550, {1, 3, 3, 7, 9, 25, 103, 1, 13, 1021, 1777, 1015, 2269, 2131, 191, 2561, 74755, 27131}},
+{17132, 18, 62577, {1, 1, 3, 13, 21, 29, 97, 153, 499, 207, 719, 585, 8155, 2873, 22073, 45933, 92875, 19205}},
+{17133, 18, 62590, {1, 3, 7, 15, 13, 31, 43, 223, 405, 839, 1241, 2219, 6911, 9469, 24477, 63157, 95503, 128431}},
+{17134, 18, 62599, {1, 3, 5, 15, 5, 11, 79, 129, 235, 171, 289, 1791, 6061, 9107, 13859, 55923, 30197, 111025}},
+{17135, 18, 62617, {1, 1, 7, 11, 13, 23, 51, 139, 219, 467, 1923, 2847, 1977, 1503, 1939, 55579, 65357, 50047}},
+{17136, 18, 62679, {1, 3, 7, 11, 27, 25, 91, 95, 73, 189, 1537, 273, 725, 1215, 15255, 18847, 67419, 162153}},
+{17137, 18, 62702, {1, 3, 3, 11, 3, 63, 49, 131, 219, 285, 819, 2801, 2645, 2943, 15055, 15659, 130641, 82913}},
+{17138, 18, 62745, {1, 1, 3, 7, 17, 19, 37, 59, 391, 1009, 1569, 2569, 2519, 33, 18827, 23277, 94797, 103673}},
+{17139, 18, 62772, {1, 3, 5, 9, 27, 57, 69, 185, 49, 829, 29, 1247, 6129, 14935, 8005, 48343, 55789, 170099}},
+{17140, 18, 62794, {1, 3, 3, 7, 19, 55, 77, 231, 79, 787, 1597, 2701, 4999, 4247, 31849, 7797, 118993, 77871}},
+{17141, 18, 62835, {1, 1, 7, 13, 5, 45, 105, 137, 239, 923, 593, 3227, 3603, 15463, 15533, 55285, 95295, 141951}},
+{17142, 18, 62842, {1, 3, 1, 5, 29, 3, 113, 241, 255, 181, 1933, 2579, 1865, 11083, 8023, 34271, 78603, 240781}},
+{17143, 18, 62847, {1, 1, 3, 7, 17, 21, 123, 75, 305, 485, 9, 3037, 677, 8001, 16803, 25851, 121773, 77729}},
+{17144, 18, 62857, {1, 3, 1, 5, 23, 7, 39, 25, 381, 1003, 361, 995, 1751, 9599, 6399, 9627, 19303, 249899}},
+{17145, 18, 62894, {1, 3, 5, 5, 13, 39, 65, 145, 351, 135, 981, 3657, 4711, 13649, 17253, 46443, 99187, 176683}},
+{17146, 18, 62911, {1, 3, 1, 9, 9, 41, 79, 237, 445, 507, 1947, 2905, 8161, 715, 24499, 62397, 26393, 197221}},
+{17147, 18, 62928, {1, 3, 5, 3, 23, 9, 107, 121, 59, 265, 177, 3495, 391, 4537, 32099, 45217, 128285, 259285}},
+{17148, 18, 62954, {1, 3, 3, 15, 5, 61, 87, 209, 139, 461, 485, 3261, 7425, 6193, 22221, 22145, 93989, 101459}},
+{17149, 18, 62964, {1, 3, 1, 1, 15, 51, 29, 145, 385, 695, 375, 3743, 1387, 15385, 7995, 22993, 64115, 239897}},
+{17150, 18, 62977, {1, 1, 5, 15, 9, 11, 73, 219, 293, 941, 477, 3935, 2717, 9559, 20537, 6935, 39711, 13623}},
+{17151, 18, 62984, {1, 3, 3, 11, 3, 23, 127, 21, 61, 59, 1685, 507, 3883, 6587, 6355, 65407, 54311, 228555}},
+{17152, 18, 63007, {1, 3, 1, 1, 25, 47, 51, 111, 77, 871, 1045, 4017, 7683, 7729, 24155, 3481, 31749, 245155}},
+{17153, 18, 63017, {1, 3, 5, 1, 25, 29, 119, 131, 475, 763, 1639, 1937, 7387, 2307, 24081, 34797, 91785, 52055}},
+{17154, 18, 63058, {1, 1, 5, 1, 29, 19, 119, 111, 119, 751, 1079, 1911, 4085, 8909, 4351, 30037, 37691, 57175}},
+{17155, 18, 63067, {1, 1, 7, 7, 27, 33, 71, 189, 105, 821, 1543, 2939, 3829, 6485, 22235, 7097, 76987, 207121}},
+{17156, 18, 63085, {1, 1, 3, 3, 7, 7, 65, 121, 355, 405, 1019, 1779, 7301, 10609, 25927, 16501, 37287, 133383}},
+{17157, 18, 63150, {1, 1, 3, 11, 31, 57, 109, 197, 165, 711, 271, 653, 5835, 14905, 26065, 52287, 106215, 225075}},
+{17158, 18, 63170, {1, 1, 3, 3, 1, 41, 5, 169, 15, 49, 1311, 2715, 579, 1693, 28001, 17935, 18585, 123531}},
+{17159, 18, 63184, {1, 1, 7, 7, 1, 49, 59, 75, 173, 361, 1947, 2707, 1835, 12025, 24051, 24359, 121841, 215797}},
+{17160, 18, 63210, {1, 1, 5, 13, 7, 49, 15, 181, 409, 1005, 383, 3449, 2987, 13051, 7097, 34571, 55495, 65251}},
+{17161, 18, 63215, {1, 1, 3, 11, 5, 9, 67, 41, 9, 79, 401, 379, 4107, 5231, 519, 47877, 17273, 137479}},
+{17162, 18, 63217, {1, 1, 3, 13, 25, 7, 9, 165, 103, 37, 1369, 933, 1119, 1025, 19767, 25765, 55487, 249709}},
+{17163, 18, 63229, {1, 3, 5, 5, 19, 53, 105, 135, 245, 957, 185, 2901, 1741, 10429, 747, 23365, 49363, 84095}},
+{17164, 18, 63237, {1, 1, 1, 15, 29, 17, 107, 193, 17, 447, 1261, 1935, 5749, 2303, 23287, 59883, 28655, 188055}},
+{17165, 18, 63259, {1, 1, 5, 9, 13, 27, 99, 253, 299, 481, 89, 3041, 1549, 15417, 30495, 2063, 53649, 219883}},
+{17166, 18, 63265, {1, 3, 3, 15, 19, 19, 7, 149, 67, 349, 789, 129, 2783, 2887, 28631, 26001, 62407, 151767}},
+{17167, 18, 63271, {1, 3, 3, 13, 7, 29, 65, 25, 93, 627, 301, 721, 7249, 13295, 19995, 33715, 36441, 157625}},
+{17168, 18, 63286, {1, 1, 1, 3, 29, 63, 85, 27, 507, 543, 1887, 3169, 4239, 4455, 22047, 15369, 48913, 192071}},
+{17169, 18, 63298, {1, 3, 7, 5, 9, 33, 125, 41, 7, 723, 1091, 3311, 8173, 3861, 31507, 42669, 68853, 60043}},
+{17170, 18, 63343, {1, 3, 1, 13, 13, 7, 121, 41, 181, 913, 371, 163, 7061, 8779, 18345, 41915, 1785, 107113}},
+{17171, 18, 63355, {1, 1, 1, 9, 13, 41, 23, 35, 157, 247, 1243, 1101, 5193, 4027, 29917, 44099, 46211, 162059}},
+{17172, 18, 63361, {1, 3, 1, 5, 15, 51, 3, 241, 131, 741, 1885, 2397, 5673, 9097, 9319, 15381, 55655, 207569}},
+{17173, 18, 63362, {1, 1, 3, 15, 25, 15, 69, 55, 435, 727, 1007, 375, 7871, 10437, 11011, 36711, 11269, 105159}},
+{17174, 18, 63379, {1, 3, 3, 13, 17, 1, 101, 189, 295, 185, 1715, 2609, 6767, 11751, 11469, 3951, 80743, 114439}},
+{17175, 18, 63397, {1, 3, 1, 7, 21, 41, 93, 39, 433, 917, 279, 161, 267, 10201, 26583, 30363, 110187, 46501}},
+{17176, 18, 63415, {1, 1, 7, 7, 13, 15, 89, 167, 365, 925, 107, 3537, 6815, 15251, 23149, 61821, 66569, 135353}},
+{17177, 18, 63421, {1, 1, 1, 3, 13, 59, 21, 255, 111, 603, 547, 465, 3001, 16055, 26389, 64301, 112751, 219279}},
+{17178, 18, 63463, {1, 1, 1, 15, 17, 3, 21, 49, 327, 349, 489, 957, 807, 11685, 23975, 34729, 100773, 223551}},
+{17179, 18, 63491, {1, 3, 5, 15, 19, 59, 63, 71, 233, 767, 1789, 3609, 5911, 3405, 7519, 3611, 92015, 126669}},
+{17180, 18, 63527, {1, 1, 1, 11, 7, 31, 79, 57, 115, 763, 1643, 3329, 7209, 1385, 15565, 64353, 60637, 59445}},
+{17181, 18, 63545, {1, 1, 3, 1, 13, 3, 47, 89, 507, 523, 1, 1391, 6973, 7267, 32527, 52631, 20775, 234503}},
+{17182, 18, 63553, {1, 3, 1, 9, 23, 23, 95, 57, 295, 857, 213, 1211, 3503, 3043, 24843, 16149, 118719, 171585}},
+{17183, 18, 63560, {1, 3, 1, 5, 1, 13, 63, 167, 305, 711, 759, 2521, 5051, 9125, 22917, 24647, 100777, 261137}},
+{17184, 18, 63563, {1, 1, 5, 9, 25, 19, 5, 225, 511, 543, 685, 733, 7249, 10447, 11115, 25927, 104327, 92861}},
+{17185, 18, 63566, {1, 3, 1, 7, 15, 7, 15, 83, 379, 461, 943, 317, 7735, 12655, 7549, 6371, 20901, 170331}},
+{17186, 18, 63589, {1, 1, 1, 13, 7, 17, 41, 51, 47, 15, 477, 1203, 819, 1615, 13805, 40147, 3967, 192647}},
+{17187, 18, 63599, {1, 3, 7, 11, 9, 11, 111, 75, 171, 833, 1503, 2325, 7279, 2687, 16499, 11547, 99409, 186429}},
+{17188, 18, 63601, {1, 1, 5, 3, 13, 21, 75, 17, 447, 647, 1309, 2297, 7911, 12093, 16237, 50831, 96123, 134479}},
+{17189, 18, 63608, {1, 1, 5, 15, 19, 29, 35, 255, 291, 437, 85, 2143, 3281, 3629, 29339, 28169, 46561, 236595}},
+{17190, 18, 63620, {1, 3, 7, 1, 31, 57, 125, 109, 317, 461, 681, 1379, 6387, 14971, 8451, 17655, 87619, 51721}},
+{17191, 18, 63654, {1, 3, 7, 1, 23, 33, 45, 149, 43, 465, 997, 601, 693, 6273, 12867, 25885, 81353, 60437}},
+{17192, 18, 63703, {1, 1, 7, 7, 31, 25, 113, 205, 481, 141, 1757, 587, 2981, 7637, 3869, 4151, 69541, 68587}},
+{17193, 18, 63719, {1, 1, 7, 13, 17, 31, 69, 247, 137, 79, 1221, 1693, 3747, 10711, 1671, 31587, 12139, 248585}},
+{17194, 18, 63758, {1, 1, 1, 3, 1, 61, 39, 139, 37, 79, 125, 1145, 7505, 10129, 29209, 52045, 99159, 195553}},
+{17195, 18, 63769, {1, 1, 5, 3, 13, 41, 13, 11, 167, 953, 1961, 3557, 871, 1687, 28479, 10621, 27533, 243519}},
+{17196, 18, 63782, {1, 1, 7, 7, 1, 35, 107, 227, 375, 225, 483, 1239, 7591, 8549, 7351, 62001, 70245, 102795}},
+{17197, 18, 63803, {1, 1, 1, 9, 29, 35, 15, 3, 337, 1017, 1065, 2107, 2457, 9455, 7069, 55081, 57887, 149679}},
+{17198, 18, 63811, {1, 1, 7, 1, 1, 1, 13, 63, 287, 895, 593, 1253, 4717, 10313, 10275, 22143, 59149, 38865}},
+{17199, 18, 63851, {1, 1, 3, 15, 27, 39, 73, 11, 509, 391, 1901, 503, 5523, 6777, 30849, 41301, 35067, 68443}},
+{17200, 18, 63854, {1, 3, 3, 15, 17, 57, 39, 229, 273, 917, 577, 3627, 3285, 4495, 28581, 34011, 38537, 194999}},
+{17201, 18, 63872, {1, 1, 7, 3, 17, 51, 91, 203, 161, 757, 581, 1625, 477, 8839, 16515, 43101, 121497, 23603}},
+{17202, 18, 63878, {1, 3, 3, 5, 19, 29, 55, 127, 283, 999, 1227, 1937, 4471, 11305, 8813, 40509, 78521, 175573}},
+{17203, 18, 63895, {1, 3, 3, 3, 5, 29, 33, 249, 25, 213, 1315, 393, 6967, 12751, 7485, 39561, 14801, 191921}},
+{17204, 18, 63917, {1, 3, 7, 9, 23, 15, 93, 69, 23, 239, 1993, 3375, 539, 14141, 10123, 33561, 127565, 181527}},
+{17205, 18, 63930, {1, 3, 3, 15, 13, 15, 65, 241, 83, 351, 1943, 1305, 7181, 11803, 31907, 63623, 5439, 150661}},
+{17206, 18, 63935, {1, 3, 7, 11, 13, 17, 17, 37, 409, 577, 973, 797, 1761, 5333, 13803, 22991, 29743, 53051}},
+{17207, 18, 63955, {1, 3, 5, 5, 27, 25, 91, 225, 411, 23, 877, 2487, 8061, 12337, 11471, 8857, 10791, 112699}},
+{17208, 18, 63964, {1, 1, 5, 3, 15, 1, 87, 249, 205, 1011, 2045, 1879, 4137, 5877, 12709, 5231, 74283, 124315}},
+{17209, 18, 63967, {1, 1, 7, 7, 31, 37, 117, 71, 139, 391, 1085, 4033, 3087, 3063, 19991, 8787, 96899, 17279}},
+{17210, 18, 63980, {1, 1, 7, 15, 19, 47, 45, 181, 303, 151, 337, 2557, 6131, 3161, 13097, 52777, 77783, 259817}},
+{17211, 18, 63985, {1, 1, 3, 3, 1, 55, 115, 227, 83, 591, 967, 4067, 3441, 243, 13443, 4043, 129365, 161459}},
+{17212, 18, 63992, {1, 1, 3, 15, 5, 23, 71, 31, 271, 585, 931, 909, 3375, 15063, 12111, 35811, 124047, 68225}},
+{17213, 18, 64021, {1, 1, 5, 11, 1, 59, 19, 193, 323, 489, 837, 3709, 1807, 11617, 30931, 33561, 2805, 100979}},
+{17214, 18, 64026, {1, 3, 5, 7, 27, 7, 71, 67, 167, 521, 1237, 2911, 3531, 2885, 4669, 25703, 87647, 36381}},
+{17215, 18, 64044, {1, 3, 3, 13, 13, 21, 97, 225, 477, 1023, 2029, 877, 3849, 4675, 17665, 19257, 9697, 168577}},
+{17216, 18, 64055, {1, 1, 7, 15, 25, 31, 19, 255, 45, 539, 1831, 2655, 7471, 12011, 12455, 3681, 123881, 234471}},
+{17217, 18, 64056, {1, 1, 3, 9, 17, 39, 105, 73, 271, 555, 987, 873, 5371, 12381, 13469, 54961, 125701, 194063}},
+{17218, 18, 64061, {1, 1, 5, 5, 7, 27, 15, 195, 121, 175, 991, 955, 5007, 11423, 1539, 21381, 79891, 162149}},
+{17219, 18, 64067, {1, 3, 1, 7, 25, 23, 69, 69, 177, 545, 481, 3503, 3721, 1077, 8763, 6919, 64743, 172311}},
+{17220, 18, 64081, {1, 1, 3, 15, 31, 5, 33, 45, 81, 795, 435, 399, 4591, 3741, 26493, 14791, 59529, 89989}},
+{17221, 18, 64100, {1, 1, 7, 13, 21, 29, 95, 75, 213, 59, 1635, 479, 441, 14667, 16389, 9139, 30955, 169895}},
+{17222, 18, 64109, {1, 3, 3, 3, 17, 61, 103, 85, 233, 287, 447, 2687, 4755, 9489, 1669, 10405, 58489, 170429}},
+{17223, 18, 64112, {1, 1, 5, 5, 13, 9, 63, 129, 321, 531, 393, 3353, 5309, 16375, 20473, 12595, 52239, 183647}},
+{17224, 18, 64118, {1, 1, 3, 7, 7, 31, 101, 253, 119, 325, 351, 2321, 1899, 14073, 8985, 13609, 32043, 33225}},
+{17225, 18, 64124, {1, 1, 3, 13, 7, 25, 73, 191, 399, 591, 819, 2859, 6053, 815, 30417, 5709, 18277, 121991}},
+{17226, 18, 64145, {1, 3, 3, 1, 7, 47, 7, 81, 451, 463, 699, 1857, 8169, 15649, 22693, 28673, 9717, 227583}},
+{17227, 18, 64151, {1, 3, 3, 3, 31, 45, 123, 205, 23, 901, 1003, 1149, 7481, 6925, 23845, 18573, 97047, 248957}},
+{17228, 18, 64203, {1, 1, 3, 3, 21, 9, 53, 241, 125, 583, 1055, 3981, 8113, 12477, 8455, 6289, 112253, 17321}},
+{17229, 18, 64208, {1, 1, 7, 3, 19, 5, 51, 111, 443, 283, 117, 2127, 4273, 2335, 20373, 2885, 57439, 56839}},
+{17230, 18, 64236, {1, 1, 5, 15, 7, 5, 65, 163, 27, 691, 1667, 69, 2459, 7477, 21349, 52417, 42299, 75965}},
+{17231, 18, 64254, {1, 1, 1, 13, 13, 19, 87, 223, 475, 205, 1113, 887, 2213, 5533, 15875, 36173, 53933, 200173}},
+{17232, 18, 64261, {1, 3, 3, 13, 23, 17, 93, 37, 391, 127, 873, 1445, 3007, 10863, 21245, 55025, 99275, 255329}},
+{17233, 18, 64280, {1, 3, 1, 15, 1, 47, 57, 5, 207, 825, 161, 539, 6151, 12829, 14121, 51217, 25547, 234303}},
+{17234, 18, 64296, {1, 1, 5, 1, 21, 63, 15, 83, 19, 817, 591, 3131, 889, 12451, 14363, 27295, 83877, 124701}},
+{17235, 18, 64313, {1, 1, 7, 7, 11, 21, 87, 85, 13, 555, 163, 9, 5973, 14749, 19585, 57287, 43421, 66301}},
+{17236, 18, 64314, {1, 3, 5, 5, 7, 33, 19, 7, 9, 819, 533, 2105, 4275, 10611, 30517, 35863, 84687, 245157}},
+{17237, 18, 64316, {1, 3, 5, 13, 3, 55, 111, 157, 235, 405, 39, 2191, 905, 3099, 245, 37371, 365, 257385}},
+{17238, 18, 64348, {1, 3, 3, 13, 29, 39, 125, 235, 213, 879, 497, 1659, 6689, 12165, 18621, 14657, 37079, 167867}},
+{17239, 18, 64352, {1, 1, 5, 15, 5, 5, 27, 197, 77, 477, 1115, 3369, 2253, 5757, 20855, 4473, 112501, 76881}},
+{17240, 18, 64355, {1, 3, 3, 13, 13, 61, 37, 97, 229, 743, 1381, 3979, 307, 319, 16765, 56295, 109303, 21361}},
+{17241, 18, 64361, {1, 1, 7, 11, 19, 7, 63, 145, 129, 899, 93, 1851, 7901, 8767, 15553, 13913, 4897, 129483}},
+{17242, 18, 64388, {1, 3, 5, 11, 7, 23, 19, 5, 465, 365, 883, 3563, 4395, 2759, 4273, 623, 75047, 249519}},
+{17243, 18, 64398, {1, 3, 1, 5, 29, 43, 75, 7, 509, 373, 359, 2041, 5957, 1251, 32431, 37803, 120915, 45137}},
+{17244, 18, 64403, {1, 3, 1, 5, 21, 9, 43, 1, 337, 743, 1359, 1629, 5117, 2499, 16129, 22831, 38795, 32137}},
+{17245, 18, 64419, {1, 3, 3, 7, 23, 57, 9, 31, 351, 559, 1729, 1461, 3037, 12685, 8899, 14859, 108851, 170195}},
+{17246, 18, 64421, {1, 1, 1, 15, 23, 57, 39, 23, 283, 487, 1055, 1265, 6781, 7955, 195, 37745, 66115, 56413}},
+{17247, 18, 64428, {1, 1, 3, 7, 27, 35, 57, 17, 137, 17, 905, 4033, 5775, 5305, 22975, 17547, 106297, 146287}},
+{17248, 18, 64453, {1, 1, 1, 3, 5, 39, 73, 151, 469, 523, 119, 539, 2817, 7783, 22957, 59937, 21331, 172437}},
+{17249, 18, 64463, {1, 1, 3, 13, 21, 1, 23, 109, 113, 257, 817, 1671, 6729, 1571, 15009, 48539, 94025, 160379}},
+{17250, 18, 64475, {1, 1, 1, 1, 31, 23, 83, 107, 225, 715, 949, 69, 2163, 4777, 7715, 25901, 82935, 81455}},
+{17251, 18, 64511, {1, 3, 5, 13, 29, 11, 61, 169, 241, 973, 315, 3991, 1389, 3293, 31123, 59419, 7359, 170929}},
+{17252, 18, 64537, {1, 1, 7, 3, 21, 15, 111, 41, 329, 513, 1175, 4037, 2747, 11465, 17253, 54055, 29409, 230925}},
+{17253, 18, 64576, {1, 3, 5, 15, 31, 17, 105, 45, 61, 339, 1387, 1021, 4499, 13671, 25521, 52081, 49153, 31587}},
+{17254, 18, 64579, {1, 3, 3, 3, 29, 17, 51, 103, 429, 849, 1759, 1267, 6255, 4631, 32643, 44977, 40875, 239457}},
+{17255, 18, 64581, {1, 1, 7, 15, 3, 11, 123, 157, 73, 151, 777, 3855, 1913, 969, 11821, 16889, 63503, 197305}},
+{17256, 18, 64606, {1, 3, 1, 5, 13, 49, 61, 209, 105, 523, 851, 3667, 7525, 5537, 12851, 42867, 50535, 131403}},
+{17257, 18, 64615, {1, 3, 1, 7, 13, 19, 107, 71, 479, 895, 405, 89, 1345, 5543, 12709, 6093, 97581, 20483}},
+{17258, 18, 64649, {1, 3, 3, 11, 3, 47, 117, 175, 175, 321, 1257, 365, 1193, 12813, 2713, 26941, 43605, 223323}},
+{17259, 18, 64655, {1, 1, 7, 1, 19, 35, 45, 143, 395, 255, 1599, 575, 2637, 1287, 27673, 48329, 57975, 44173}},
+{17260, 18, 64664, {1, 3, 5, 1, 1, 19, 107, 233, 465, 661, 91, 4007, 6409, 3399, 8175, 54171, 111417, 124955}},
+{17261, 18, 64667, {1, 1, 5, 13, 9, 27, 121, 225, 55, 761, 779, 3015, 6333, 10779, 26531, 57103, 33463, 90219}},
+{17262, 18, 64712, {1, 3, 1, 9, 17, 3, 85, 147, 111, 133, 869, 1833, 2401, 5811, 24415, 27095, 65529, 164121}},
+{17263, 18, 64715, {1, 1, 5, 13, 11, 37, 13, 83, 391, 909, 2013, 1327, 6697, 1711, 29265, 10607, 20127, 57873}},
+{17264, 18, 64718, {1, 3, 1, 11, 17, 17, 33, 101, 383, 837, 1769, 1711, 3735, 14777, 27101, 56853, 110643, 101917}},
+{17265, 18, 64741, {1, 3, 5, 13, 25, 7, 37, 99, 473, 211, 1469, 1827, 6307, 8835, 15853, 22027, 43095, 15817}},
+{17266, 18, 64766, {1, 3, 1, 5, 19, 13, 61, 193, 57, 359, 1277, 749, 5499, 11239, 20681, 48477, 7225, 259259}},
+{17267, 18, 64780, {1, 1, 1, 7, 27, 17, 79, 213, 307, 761, 429, 1519, 7483, 6007, 11251, 13263, 24851, 7919}},
+{17268, 18, 64788, {1, 1, 3, 5, 9, 37, 101, 149, 405, 413, 1213, 157, 3811, 4485, 13099, 32697, 75677, 127815}},
+{17269, 18, 64791, {1, 3, 3, 7, 29, 29, 13, 113, 45, 885, 1471, 3433, 2289, 4375, 815, 16741, 20933, 9763}},
+{17270, 18, 64795, {1, 3, 5, 15, 5, 3, 7, 37, 347, 41, 1977, 395, 6363, 3591, 21457, 31455, 60547, 108153}},
+{17271, 18, 64798, {1, 3, 5, 7, 19, 9, 113, 1, 241, 439, 731, 1591, 3347, 1295, 6635, 25267, 13239, 214669}},
+{17272, 18, 64816, {1, 1, 3, 5, 7, 7, 69, 77, 281, 851, 1533, 1, 7351, 3429, 29237, 54597, 11171, 66613}},
+{17273, 18, 64819, {1, 1, 7, 15, 29, 7, 59, 9, 105, 129, 1397, 3841, 3945, 4755, 19877, 11109, 17497, 225473}},
+{17274, 18, 64822, {1, 3, 7, 7, 15, 61, 3, 207, 97, 229, 1251, 101, 3157, 5729, 15579, 14849, 119119, 91891}},
+{17275, 18, 64833, {1, 3, 3, 9, 27, 15, 85, 221, 231, 577, 1787, 3489, 2393, 7593, 13175, 25561, 108505, 97267}},
+{17276, 18, 64836, {1, 3, 7, 13, 23, 3, 7, 85, 307, 899, 371, 3539, 3467, 7955, 9539, 53583, 125587, 30969}},
+{17277, 18, 64876, {1, 1, 5, 7, 7, 31, 115, 245, 375, 803, 1121, 3775, 3565, 15283, 25981, 24681, 34469, 172003}},
+{17278, 18, 64891, {1, 1, 5, 1, 31, 5, 5, 161, 153, 235, 1703, 2163, 1089, 16233, 6183, 25167, 102925, 36673}},
+{17279, 18, 64907, {1, 3, 3, 5, 1, 57, 59, 5, 87, 497, 151, 1731, 2727, 4583, 28165, 63053, 76003, 29259}},
+{17280, 18, 64943, {1, 1, 5, 7, 5, 21, 79, 111, 347, 879, 827, 3947, 4421, 9589, 23971, 11681, 104555, 226535}},
+{17281, 18, 64965, {1, 1, 5, 1, 17, 35, 105, 159, 391, 495, 1709, 3731, 261, 2359, 1413, 37105, 8979, 189381}},
+{17282, 18, 64977, {1, 3, 3, 1, 11, 23, 21, 213, 261, 755, 1503, 2369, 1765, 14531, 2605, 15609, 48691, 113059}},
+{17283, 18, 64999, {1, 3, 5, 1, 1, 55, 87, 197, 89, 391, 1157, 3523, 385, 5871, 13681, 29097, 101903, 184553}},
+{17284, 18, 65034, {1, 3, 7, 5, 17, 51, 87, 191, 495, 761, 1943, 1845, 2963, 13133, 22439, 20101, 96759, 215215}},
+{17285, 18, 65036, {1, 3, 5, 11, 23, 9, 53, 41, 229, 233, 2025, 2835, 2359, 4755, 3015, 48267, 20721, 61001}},
+{17286, 18, 65089, {1, 1, 7, 9, 27, 35, 45, 201, 137, 291, 151, 733, 6199, 3127, 3073, 14491, 95051, 12469}},
+{17287, 18, 65107, {1, 1, 1, 9, 7, 49, 73, 233, 239, 881, 1991, 695, 5947, 9377, 12027, 41137, 80217, 122961}},
+{17288, 18, 65110, {1, 1, 5, 11, 3, 15, 85, 203, 305, 945, 1007, 1831, 3999, 373, 21141, 63829, 91779, 122495}},
+{17289, 18, 65120, {1, 1, 1, 11, 23, 51, 127, 215, 441, 467, 229, 3071, 2731, 8813, 30155, 60289, 54531, 196187}},
+{17290, 18, 65132, {1, 3, 5, 15, 29, 31, 11, 129, 443, 649, 773, 3035, 7915, 13831, 31979, 5577, 42869, 153591}},
+{17291, 18, 65143, {1, 1, 3, 11, 21, 37, 23, 79, 153, 7, 1801, 441, 8189, 7235, 6311, 965, 71993, 81755}},
+{17292, 18, 65150, {1, 3, 5, 5, 23, 13, 93, 39, 247, 367, 811, 1381, 6809, 16219, 8755, 41923, 79873, 105781}},
+{17293, 18, 65177, {1, 3, 5, 9, 19, 43, 21, 229, 251, 187, 1047, 2295, 5529, 2965, 1507, 16185, 121183, 30551}},
+{17294, 18, 65201, {1, 3, 7, 9, 19, 11, 33, 213, 39, 811, 231, 1527, 6093, 1507, 3541, 37585, 78785, 215419}},
+{17295, 18, 65214, {1, 3, 7, 7, 11, 13, 109, 119, 175, 311, 719, 3127, 6351, 1909, 5441, 5411, 58751, 80875}},
+{17296, 18, 65234, {1, 1, 1, 7, 17, 35, 57, 139, 289, 137, 1919, 2131, 6145, 3953, 24887, 64737, 4677, 23833}},
+{17297, 18, 65240, {1, 1, 3, 13, 1, 21, 83, 243, 27, 69, 501, 3925, 3339, 13313, 27021, 38319, 76441, 146397}},
+{17298, 18, 65243, {1, 3, 7, 9, 15, 17, 97, 117, 505, 673, 1333, 3891, 7775, 6323, 12967, 17387, 19501, 68347}},
+{17299, 18, 65259, {1, 1, 1, 5, 27, 55, 43, 47, 399, 147, 1539, 2663, 5555, 11993, 8759, 33783, 8361, 78633}},
+{17300, 18, 65276, {1, 1, 1, 15, 1, 17, 21, 85, 129, 117, 339, 1319, 1119, 6869, 12913, 56873, 30795, 76849}},
+{17301, 18, 65287, {1, 1, 5, 5, 11, 1, 11, 175, 355, 737, 1367, 3089, 5993, 4377, 10325, 3817, 61735, 187689}},
+{17302, 18, 65306, {1, 3, 5, 5, 21, 41, 85, 219, 425, 611, 1219, 1849, 349, 925, 26185, 31591, 23855, 35549}},
+{17303, 18, 65311, {1, 1, 3, 5, 21, 3, 77, 25, 265, 949, 1979, 1561, 4243, 12437, 5215, 23445, 33295, 130385}},
+{17304, 18, 65321, {1, 1, 3, 1, 13, 7, 3, 81, 143, 735, 31, 1781, 1537, 10789, 11923, 61589, 75761, 178837}},
+{17305, 18, 65350, {1, 1, 7, 7, 11, 47, 55, 37, 39, 533, 1773, 3121, 183, 7193, 19403, 45757, 20457, 158437}},
+{17306, 18, 65364, {1, 1, 5, 5, 3, 15, 53, 41, 139, 529, 601, 2967, 4683, 3869, 13449, 30155, 85833, 190053}},
+{17307, 18, 65451, {1, 1, 5, 1, 11, 39, 85, 131, 349, 175, 267, 779, 923, 5905, 32727, 22055, 63087, 247607}},
+{17308, 18, 65488, {1, 3, 5, 7, 7, 59, 11, 49, 465, 617, 557, 251, 1303, 10369, 29207, 13457, 113591, 43717}},
+{17309, 18, 65510, {1, 3, 5, 3, 27, 39, 21, 157, 39, 891, 1833, 2887, 7395, 7965, 21771, 42675, 71705, 177323}},
+{17310, 18, 65528, {1, 3, 7, 7, 21, 51, 53, 83, 433, 889, 1033, 1701, 6285, 14335, 1683, 3637, 110241, 110355}},
+{17311, 18, 65533, {1, 1, 7, 7, 11, 23, 35, 63, 71, 867, 79, 2551, 1837, 773, 21093, 60433, 67305, 70731}},
+{17312, 18, 65553, {1, 3, 5, 11, 9, 25, 67, 23, 137, 75, 707, 2229, 6237, 9871, 29063, 30433, 112897, 68037}},
+{17313, 18, 65563, {1, 3, 7, 13, 1, 45, 119, 149, 487, 667, 1177, 2927, 1875, 11963, 20771, 1177, 2331, 244039}},
+{17314, 18, 65579, {1, 3, 3, 7, 19, 61, 89, 163, 91, 409, 1109, 1947, 1017, 12385, 13487, 45645, 64175, 184221}},
+{17315, 18, 65621, {1, 1, 1, 15, 13, 47, 21, 203, 341, 845, 443, 1891, 2591, 2721, 7515, 52161, 70359, 173139}},
+{17316, 18, 65625, {1, 3, 3, 11, 5, 3, 119, 179, 509, 33, 1909, 2531, 6713, 12447, 30157, 61019, 45857, 165557}},
+{17317, 18, 65635, {1, 3, 7, 5, 3, 47, 79, 55, 321, 71, 1917, 4053, 6603, 3079, 28133, 15611, 99161, 118279}},
+{17318, 18, 65644, {1, 1, 1, 7, 19, 13, 3, 31, 213, 705, 435, 2381, 991, 4719, 24473, 8907, 122013, 228081}},
+{17319, 18, 65690, {1, 1, 7, 11, 27, 15, 5, 123, 169, 197, 361, 3803, 2001, 14547, 22967, 27575, 118325, 130651}},
+{17320, 18, 65696, {1, 3, 3, 5, 29, 43, 77, 15, 463, 753, 695, 3489, 2023, 9913, 13029, 26621, 129393, 209439}},
+{17321, 18, 65705, {1, 1, 5, 15, 1, 39, 55, 129, 247, 729, 1537, 2529, 3981, 13153, 1505, 12743, 104173, 218423}},
+{17322, 18, 65716, {1, 3, 7, 3, 21, 3, 49, 173, 445, 821, 3, 2671, 1865, 1377, 7589, 65485, 96485, 80193}},
+{17323, 18, 65725, {1, 3, 3, 11, 7, 21, 99, 143, 333, 869, 1469, 1579, 1749, 2203, 18773, 47377, 103211, 238357}},
+{17324, 18, 65733, {1, 3, 5, 11, 11, 19, 25, 253, 229, 755, 101, 269, 6703, 5603, 23201, 57163, 28431, 159653}},
+{17325, 18, 65740, {1, 3, 5, 3, 3, 15, 45, 225, 325, 997, 1061, 883, 3885, 7633, 461, 44411, 52129, 84535}},
+{17326, 18, 65758, {1, 1, 7, 1, 27, 29, 51, 23, 473, 443, 117, 3021, 55, 7413, 7911, 3063, 47533, 234941}},
+{17327, 18, 65786, {1, 3, 3, 15, 19, 43, 37, 95, 249, 805, 603, 865, 2115, 6999, 9739, 59029, 12181, 211159}},
+{17328, 18, 65806, {1, 3, 7, 3, 3, 61, 105, 113, 11, 169, 1007, 689, 2553, 14561, 17473, 38249, 41225, 80021}},
+{17329, 18, 65834, {1, 3, 7, 11, 5, 47, 69, 49, 457, 931, 435, 1423, 411, 15163, 3171, 29143, 101153, 240869}},
+{17330, 18, 65844, {1, 3, 7, 1, 17, 1, 13, 45, 155, 551, 1783, 3583, 2767, 2761, 18019, 61635, 104527, 123817}},
+{17331, 18, 65866, {1, 1, 5, 11, 9, 43, 101, 205, 233, 689, 1247, 2903, 3117, 12261, 11827, 50403, 103727, 35533}},
+{17332, 18, 65895, {1, 1, 5, 13, 23, 37, 121, 195, 133, 265, 1517, 823, 5933, 13917, 6363, 8533, 58443, 178549}},
+{17333, 18, 65902, {1, 1, 7, 9, 29, 1, 3, 195, 221, 877, 71, 473, 1173, 15285, 6057, 60005, 92401, 65357}},
+{17334, 18, 65953, {1, 3, 7, 1, 5, 25, 15, 207, 455, 447, 1125, 3731, 1289, 867, 22111, 38893, 70779, 88277}},
+{17335, 18, 65954, {1, 1, 1, 13, 31, 19, 15, 179, 183, 351, 1197, 1929, 3569, 12251, 17641, 4097, 24141, 186857}},
+{17336, 18, 65983, {1, 1, 1, 9, 19, 9, 125, 23, 431, 225, 943, 479, 2615, 443, 30977, 10889, 17107, 116819}},
+{17337, 18, 65985, {1, 3, 1, 9, 9, 13, 85, 123, 85, 857, 125, 3149, 1105, 3687, 2313, 38749, 52131, 259511}},
+{17338, 18, 66003, {1, 3, 5, 7, 27, 33, 57, 105, 511, 871, 1089, 2311, 3291, 2245, 3365, 30211, 62549, 56207}},
+{17339, 18, 66010, {1, 1, 7, 11, 1, 19, 75, 37, 139, 173, 391, 317, 2575, 11887, 4289, 32275, 43487, 487}},
+{17340, 18, 66025, {1, 1, 7, 1, 11, 3, 9, 217, 343, 35, 59, 93, 1343, 5043, 14869, 63717, 40983, 235373}},
+{17341, 18, 66050, {1, 1, 3, 5, 15, 13, 93, 247, 417, 179, 307, 3299, 4383, 5491, 21271, 37155, 32289, 75737}},
+{17342, 18, 66074, {1, 3, 3, 9, 3, 39, 63, 243, 305, 729, 9, 3317, 3301, 13165, 20437, 36505, 32977, 2761}},
+{17343, 18, 66076, {1, 3, 7, 5, 3, 37, 61, 109, 351, 641, 1699, 2517, 2637, 4995, 27365, 56971, 53609, 14373}},
+{17344, 18, 66097, {1, 3, 1, 15, 31, 53, 127, 123, 219, 1003, 1425, 1201, 5303, 10369, 21481, 26987, 42541, 37855}},
+{17345, 18, 66132, {1, 3, 3, 13, 9, 29, 35, 111, 395, 791, 1619, 2647, 713, 15955, 19145, 33883, 65215, 166267}},
+{17346, 18, 66158, {1, 1, 7, 11, 17, 5, 45, 249, 421, 273, 411, 2885, 7027, 11933, 24847, 36969, 124701, 214931}},
+{17347, 18, 66175, {1, 1, 3, 1, 27, 41, 125, 83, 327, 643, 223, 151, 6709, 15949, 125, 13275, 90405, 15759}},
+{17348, 18, 66185, {1, 1, 5, 15, 19, 45, 55, 109, 497, 1011, 1363, 1937, 3697, 7475, 10533, 65325, 29681, 76275}},
+{17349, 18, 66199, {1, 1, 1, 3, 23, 17, 59, 209, 229, 151, 1199, 279, 191, 8993, 25939, 13885, 113477, 166961}},
+{17350, 18, 66206, {1, 3, 5, 1, 19, 61, 27, 129, 103, 721, 1451, 2803, 5879, 3523, 15443, 4047, 95927, 50339}},
+{17351, 18, 66222, {1, 1, 1, 11, 27, 9, 53, 47, 331, 185, 1337, 3429, 807, 3341, 14871, 11035, 50651, 243843}},
+{17352, 18, 66227, {1, 3, 5, 11, 7, 57, 125, 15, 271, 811, 1873, 3093, 7841, 5761, 19955, 571, 123319, 149465}},
+{17353, 18, 66241, {1, 3, 1, 3, 31, 61, 71, 47, 477, 273, 167, 1069, 3513, 1463, 2667, 22097, 60367, 246045}},
+{17354, 18, 66272, {1, 1, 1, 11, 1, 55, 35, 233, 37, 659, 1517, 411, 2981, 10339, 21857, 33701, 44393, 6861}},
+{17355, 18, 66324, {1, 1, 5, 7, 11, 43, 109, 205, 103, 315, 1925, 2109, 6307, 7915, 19793, 61167, 27963, 251913}},
+{17356, 18, 66424, {1, 1, 5, 11, 5, 63, 107, 219, 53, 251, 1053, 2035, 77, 15885, 22011, 3945, 91, 204899}},
+{17357, 18, 66460, {1, 3, 7, 13, 21, 45, 51, 53, 99, 831, 1421, 3171, 4241, 14105, 26161, 45071, 2813, 54339}},
+{17358, 18, 66464, {1, 3, 5, 1, 3, 61, 43, 141, 355, 699, 11, 2203, 8055, 14815, 24597, 65201, 32689, 70167}},
+{17359, 18, 66481, {1, 3, 1, 5, 11, 27, 109, 239, 199, 23, 375, 1477, 3197, 4401, 29901, 46623, 79593, 133143}},
+{17360, 18, 66482, {1, 1, 1, 3, 23, 9, 63, 103, 41, 177, 1365, 1971, 5937, 13055, 27713, 13535, 47371, 57841}},
+{17361, 18, 66523, {1, 1, 5, 5, 19, 15, 5, 21, 307, 65, 215, 3801, 4149, 6565, 10249, 63541, 30867, 12129}},
+{17362, 18, 66526, {1, 3, 3, 9, 11, 1, 107, 99, 235, 331, 1479, 1365, 2557, 9545, 25767, 12461, 6471, 184643}},
+{17363, 18, 66532, {1, 3, 3, 5, 17, 13, 103, 223, 95, 955, 1479, 1825, 705, 5311, 28531, 22787, 118899, 181829}},
+{17364, 18, 66539, {1, 3, 7, 1, 5, 59, 65, 11, 251, 419, 659, 2559, 5445, 4221, 5871, 51845, 33925, 167037}},
+{17365, 18, 66541, {1, 3, 5, 13, 15, 45, 35, 181, 325, 293, 1897, 3321, 6081, 9919, 27641, 9407, 35263, 231009}},
+{17366, 18, 66573, {1, 3, 3, 3, 3, 35, 85, 33, 293, 777, 1945, 3771, 6967, 12353, 2737, 12501, 127359, 163591}},
+{17367, 18, 66582, {1, 3, 7, 9, 13, 7, 119, 107, 309, 811, 1113, 2465, 4867, 4295, 565, 59159, 94587, 119761}},
+{17368, 18, 66591, {1, 3, 3, 1, 1, 31, 61, 49, 461, 635, 233, 175, 6237, 10463, 17847, 54925, 115675, 260575}},
+{17369, 18, 66615, {1, 3, 5, 15, 25, 17, 61, 155, 235, 483, 1771, 2903, 3163, 2525, 17153, 54701, 49521, 11911}},
+{17370, 18, 66622, {1, 3, 3, 5, 1, 35, 51, 23, 187, 107, 177, 1381, 165, 6149, 10841, 3619, 107811, 188811}},
+{17371, 18, 66629, {1, 1, 5, 9, 7, 35, 5, 233, 43, 913, 939, 2195, 1369, 5355, 7941, 26075, 66813, 227623}},
+{17372, 18, 66641, {1, 3, 7, 11, 5, 43, 97, 211, 427, 875, 1179, 3631, 7989, 2419, 17209, 15789, 128209, 224117}},
+{17373, 18, 66712, {1, 1, 1, 7, 17, 7, 109, 255, 111, 883, 371, 3481, 6031, 14665, 5905, 28735, 113003, 327}},
+{17374, 18, 66724, {1, 3, 5, 3, 5, 61, 7, 155, 87, 861, 39, 3163, 179, 15493, 16403, 18755, 116157, 233185}},
+{17375, 18, 66731, {1, 3, 5, 5, 23, 45, 67, 205, 395, 417, 1235, 669, 5097, 6823, 31483, 61395, 36073, 24183}},
+{17376, 18, 66745, {1, 1, 3, 1, 11, 35, 123, 171, 125, 759, 197, 907, 2273, 3623, 31861, 60071, 91857, 158011}},
+{17377, 18, 66759, {1, 3, 7, 11, 19, 19, 25, 25, 167, 429, 1565, 3179, 5453, 15731, 30727, 32111, 63685, 113309}},
+{17378, 18, 66808, {1, 3, 7, 9, 15, 33, 67, 225, 495, 19, 1881, 1357, 4311, 9547, 18717, 20749, 8819, 209979}},
+{17379, 18, 66814, {1, 3, 5, 3, 13, 47, 107, 153, 461, 815, 1521, 2361, 7721, 10631, 2799, 62321, 59755, 170803}},
+{17380, 18, 66821, {1, 3, 7, 5, 25, 61, 5, 235, 71, 349, 1555, 3419, 1159, 2027, 17391, 29849, 47145, 122057}},
+{17381, 18, 66831, {1, 1, 5, 11, 19, 19, 101, 45, 333, 553, 1431, 4077, 2629, 15997, 19793, 65521, 124287, 174675}},
+{17382, 18, 66834, {1, 3, 7, 11, 25, 39, 103, 219, 375, 27, 227, 1061, 445, 14803, 18883, 49191, 33303, 114467}},
+{17383, 18, 66879, {1, 1, 5, 7, 3, 13, 117, 29, 387, 891, 371, 2199, 7023, 13671, 26291, 61563, 2733, 16093}},
+{17384, 18, 66884, {1, 3, 5, 11, 29, 5, 17, 249, 149, 777, 1817, 319, 19, 12321, 15241, 29069, 58381, 157467}},
+{17385, 18, 66899, {1, 3, 7, 9, 29, 17, 81, 141, 201, 383, 429, 3675, 69, 8155, 22821, 60707, 127015, 248279}},
+{17386, 18, 66901, {1, 3, 7, 9, 25, 5, 11, 27, 423, 987, 99, 3599, 4849, 4513, 32119, 34301, 6327, 249457}},
+{17387, 18, 66924, {1, 3, 3, 7, 13, 25, 71, 227, 307, 985, 665, 3097, 6713, 3823, 6357, 58199, 84057, 28055}},
+{17388, 18, 66929, {1, 3, 5, 7, 19, 21, 93, 45, 159, 527, 493, 59, 1111, 1415, 1949, 28525, 50343, 11039}},
+{17389, 18, 66942, {1, 3, 5, 13, 17, 35, 79, 229, 449, 533, 235, 3445, 8153, 15473, 12975, 53909, 24589, 237049}},
+{17390, 18, 66985, {1, 1, 7, 5, 3, 53, 93, 33, 339, 423, 497, 2691, 6125, 3931, 25357, 27509, 92509, 227209}},
+{17391, 18, 66986, {1, 1, 7, 3, 13, 49, 111, 179, 449, 279, 827, 1481, 2477, 6867, 18079, 6261, 30885, 205675}},
+{17392, 18, 66994, {1, 3, 7, 7, 11, 9, 13, 105, 367, 639, 1307, 1617, 4759, 8387, 8909, 13715, 56599, 113259}},
+{17393, 18, 67066, {1, 1, 3, 3, 15, 17, 103, 125, 205, 67, 999, 3965, 907, 13235, 15275, 58457, 66889, 227279}},
+{17394, 18, 67075, {1, 3, 3, 3, 11, 35, 99, 81, 421, 75, 1757, 2413, 5655, 1227, 4019, 14503, 20719, 224807}},
+{17395, 18, 67099, {1, 1, 7, 11, 17, 17, 109, 203, 331, 813, 987, 2925, 1601, 13617, 29, 8235, 95129, 117987}},
+{17396, 18, 67130, {1, 3, 7, 5, 5, 33, 105, 191, 183, 899, 1949, 2923, 2473, 3435, 8097, 35615, 10109, 62563}},
+{17397, 18, 67173, {1, 1, 7, 13, 5, 25, 21, 159, 487, 415, 1507, 2161, 649, 14425, 2605, 8357, 92441, 87323}},
+{17398, 18, 67183, {1, 3, 7, 15, 3, 23, 87, 209, 407, 765, 975, 3859, 675, 6351, 18703, 44919, 57155, 134961}},
+{17399, 18, 67186, {1, 3, 5, 15, 7, 59, 77, 37, 235, 565, 1707, 3531, 6733, 2223, 12621, 59523, 83547, 172355}},
+{17400, 18, 67197, {1, 3, 7, 5, 23, 15, 57, 217, 151, 333, 1033, 2549, 303, 1455, 5329, 20187, 55415, 166093}},
+{17401, 18, 67201, {1, 3, 1, 13, 21, 27, 1, 85, 335, 201, 135, 2603, 291, 10573, 28411, 1059, 129871, 98303}},
+{17402, 18, 67208, {1, 1, 3, 5, 23, 61, 123, 169, 503, 629, 711, 2795, 2291, 13273, 32703, 63377, 72809, 214927}},
+{17403, 18, 67221, {1, 3, 5, 13, 31, 11, 115, 133, 443, 709, 263, 3739, 2777, 11545, 19137, 61285, 64065, 214477}},
+{17404, 18, 67238, {1, 3, 1, 11, 29, 25, 3, 5, 385, 613, 1277, 1445, 1643, 15137, 28041, 47713, 122051, 62915}},
+{17405, 18, 67252, {1, 3, 5, 11, 3, 11, 1, 137, 457, 577, 783, 1745, 5, 5817, 26569, 50751, 14075, 246219}},
+{17406, 18, 67256, {1, 1, 1, 9, 7, 9, 105, 27, 167, 939, 799, 2773, 6427, 15579, 1975, 10695, 111429, 227105}},
+{17407, 18, 67270, {1, 3, 1, 11, 23, 23, 73, 103, 103, 61, 1743, 3061, 8127, 15893, 21223, 43549, 103659, 89129}},
+{17408, 18, 67288, {1, 1, 7, 13, 5, 43, 59, 235, 139, 961, 839, 3843, 1317, 4903, 21043, 15479, 115065, 112531}},
+{17409, 18, 67318, {1, 3, 1, 3, 19, 15, 57, 145, 193, 321, 1919, 385, 125, 15517, 14243, 62845, 38995, 120045}},
+{17410, 18, 67329, {1, 3, 3, 7, 17, 61, 77, 75, 267, 203, 1911, 2599, 1797, 761, 28101, 58603, 107755, 158689}},
+{17411, 18, 67349, {1, 1, 5, 11, 15, 21, 71, 227, 377, 361, 2013, 129, 6271, 1421, 6009, 52261, 113389, 74915}},
+{17412, 18, 67369, {1, 1, 5, 7, 3, 39, 27, 49, 97, 885, 651, 1633, 3445, 3415, 20167, 26667, 52997, 221391}},
+{17413, 18, 67392, {1, 1, 7, 9, 7, 59, 95, 127, 479, 871, 845, 2951, 673, 6385, 10057, 2605, 78529, 230771}},
+{17414, 18, 67435, {1, 3, 5, 7, 31, 15, 53, 125, 223, 711, 875, 429, 7237, 4005, 2153, 26865, 63205, 144125}},
+{17415, 18, 67473, {1, 1, 7, 9, 1, 57, 19, 189, 67, 423, 1937, 37, 4925, 15503, 25969, 20419, 59921, 58119}},
+{17416, 18, 67496, {1, 1, 7, 7, 31, 51, 99, 189, 21, 1011, 1551, 3529, 7617, 15805, 11365, 43123, 84785, 203703}},
+{17417, 18, 67507, {1, 1, 3, 15, 3, 63, 9, 67, 399, 151, 253, 1839, 1365, 16295, 13145, 29211, 48681, 177643}},
+{17418, 18, 67514, {1, 1, 1, 5, 13, 37, 1, 21, 435, 483, 939, 535, 1505, 10879, 7027, 5599, 63261, 158573}},
+{17419, 18, 67536, {1, 1, 7, 15, 13, 39, 113, 209, 213, 1017, 1197, 285, 4221, 6831, 13383, 2265, 34313, 160879}},
+{17420, 18, 67555, {1, 3, 7, 15, 25, 23, 95, 217, 141, 681, 451, 1275, 4957, 10197, 21375, 50905, 11087, 96135}},
+{17421, 18, 67598, {1, 3, 1, 11, 17, 35, 87, 15, 57, 777, 1429, 615, 681, 8437, 23981, 51781, 112169, 198471}},
+{17422, 18, 67615, {1, 3, 1, 5, 21, 37, 113, 105, 123, 327, 549, 1641, 7697, 2127, 5709, 8351, 56787, 260157}},
+{17423, 18, 67625, {1, 3, 7, 15, 19, 17, 51, 15, 367, 89, 1635, 353, 4855, 1551, 7197, 27403, 11259, 176029}},
+{17424, 18, 67645, {1, 3, 1, 1, 27, 9, 3, 35, 213, 31, 885, 797, 7077, 15641, 22509, 35193, 112411, 157335}},
+{17425, 18, 67651, {1, 1, 5, 1, 5, 9, 101, 149, 169, 581, 1927, 197, 5935, 6361, 3915, 15541, 69575, 102451}},
+{17426, 18, 67663, {1, 3, 3, 13, 23, 63, 45, 205, 271, 17, 707, 937, 2547, 12019, 8559, 26163, 58117, 138625}},
+{17427, 18, 67672, {1, 1, 3, 1, 19, 63, 125, 175, 253, 629, 1121, 3701, 7755, 61, 13037, 39417, 6179, 261923}},
+{17428, 18, 67682, {1, 1, 5, 1, 25, 63, 27, 245, 371, 657, 157, 3821, 3279, 8977, 9065, 35611, 27325, 205737}},
+{17429, 18, 67699, {1, 3, 7, 15, 7, 57, 19, 191, 1, 927, 1379, 2579, 4335, 7163, 4877, 51435, 17309, 100173}},
+{17430, 18, 67718, {1, 1, 1, 5, 21, 59, 107, 195, 317, 691, 541, 69, 7235, 2175, 25191, 23913, 126369, 9263}},
+{17431, 18, 67780, {1, 3, 5, 15, 17, 7, 67, 27, 263, 855, 1065, 973, 6705, 10729, 8719, 32741, 59207, 249107}},
+{17432, 18, 67795, {1, 3, 1, 1, 21, 23, 115, 119, 351, 207, 1691, 1105, 7479, 3877, 24439, 29017, 34171, 133797}},
+{17433, 18, 67804, {1, 3, 3, 3, 11, 23, 39, 165, 99, 1023, 309, 3933, 4235, 3891, 27237, 30887, 34363, 175017}},
+{17434, 18, 67818, {1, 3, 1, 5, 17, 33, 79, 105, 253, 515, 823, 1783, 1523, 2095, 10355, 8929, 51001, 112815}},
+{17435, 18, 67832, {1, 3, 7, 15, 11, 27, 123, 161, 279, 541, 1343, 1009, 6015, 8565, 27031, 233, 2153, 179243}},
+{17436, 18, 67941, {1, 1, 7, 7, 1, 53, 1, 33, 75, 57, 723, 3855, 3301, 14941, 6637, 25181, 103441, 208339}},
+{17437, 18, 67984, {1, 3, 7, 13, 3, 23, 11, 75, 55, 19, 1181, 3451, 4901, 2621, 18323, 42395, 95701, 237753}},
+{17438, 18, 68044, {1, 1, 1, 5, 1, 1, 123, 203, 367, 71, 1897, 295, 6719, 2647, 7135, 34511, 79853, 58351}},
+{17439, 18, 68059, {1, 3, 3, 7, 7, 63, 87, 91, 223, 265, 927, 3843, 1703, 11633, 8077, 26425, 46573, 181201}},
+{17440, 18, 68062, {1, 3, 3, 3, 1, 51, 3, 99, 37, 251, 1739, 2813, 3955, 8745, 4425, 42419, 124177, 173997}},
+{17441, 18, 68065, {1, 3, 5, 15, 9, 19, 11, 207, 123, 287, 1703, 2155, 2729, 4541, 4925, 4735, 77159, 97911}},
+{17442, 18, 68071, {1, 3, 3, 15, 23, 31, 35, 33, 507, 315, 1071, 3001, 7569, 11749, 3183, 6989, 68637, 177803}},
+{17443, 18, 68072, {1, 3, 5, 1, 31, 1, 113, 39, 295, 263, 1113, 619, 5523, 15385, 24115, 24233, 91943, 129299}},
+{17444, 18, 68085, {1, 1, 5, 11, 9, 57, 89, 49, 67, 601, 1277, 2275, 6349, 4141, 28397, 47061, 28143, 126291}},
+{17445, 18, 68090, {1, 3, 7, 15, 11, 63, 123, 187, 305, 1009, 1509, 2569, 2235, 8233, 27351, 53437, 34353, 105799}},
+{17446, 18, 68101, {1, 1, 3, 1, 13, 9, 11, 169, 427, 171, 1031, 633, 4275, 1173, 11233, 57997, 107753, 257337}},
+{17447, 18, 68102, {1, 3, 5, 5, 3, 39, 49, 233, 309, 999, 1275, 85, 1663, 16275, 9145, 18439, 59055, 249657}},
+{17448, 18, 68106, {1, 1, 3, 7, 11, 55, 73, 75, 115, 397, 945, 3657, 6847, 7341, 21305, 30119, 65675, 169281}},
+{17449, 18, 68164, {1, 1, 7, 7, 3, 5, 31, 179, 183, 479, 329, 217, 1077, 6893, 23425, 21903, 34293, 184819}},
+{17450, 18, 68191, {1, 1, 3, 3, 7, 63, 97, 255, 289, 917, 1881, 3829, 2433, 3473, 11045, 37739, 73349, 171899}},
+{17451, 18, 68192, {1, 3, 5, 5, 27, 23, 61, 151, 353, 667, 1889, 2323, 3261, 15999, 24225, 35265, 97301, 75743}},
+{17452, 18, 68195, {1, 3, 7, 1, 19, 41, 81, 61, 461, 275, 131, 2665, 5615, 1719, 21047, 42025, 97725, 196587}},
+{17453, 18, 68209, {1, 1, 7, 11, 3, 5, 47, 107, 397, 237, 1795, 3049, 5317, 14147, 15299, 50469, 83855, 75685}},
+{17454, 18, 68245, {1, 1, 7, 7, 19, 31, 39, 153, 225, 591, 1547, 3755, 3219, 15823, 4015, 30977, 63999, 198023}},
+{17455, 18, 68246, {1, 3, 1, 1, 17, 57, 91, 3, 425, 465, 735, 719, 2955, 3003, 6669, 14335, 32137, 82265}},
+{17456, 18, 68274, {1, 3, 1, 9, 13, 25, 93, 187, 119, 735, 447, 3387, 5111, 6525, 28241, 37643, 99023, 58551}},
+{17457, 18, 68293, {1, 1, 7, 1, 23, 15, 105, 89, 109, 743, 2007, 3131, 4839, 3285, 14681, 47097, 69531, 104647}},
+{17458, 18, 68294, {1, 1, 5, 7, 27, 33, 85, 109, 165, 569, 511, 3223, 2201, 2869, 30457, 42585, 125187, 83115}},
+{17459, 18, 68322, {1, 1, 7, 13, 1, 39, 55, 69, 279, 757, 425, 1317, 2403, 10711, 3341, 33491, 5607, 214161}},
+{17460, 18, 68353, {1, 3, 3, 9, 23, 57, 109, 9, 473, 323, 1371, 657, 5039, 1947, 12787, 29099, 81887, 44039}},
+{17461, 18, 68359, {1, 3, 1, 9, 21, 49, 39, 71, 493, 611, 1465, 3965, 7509, 5315, 4095, 21865, 123533, 148467}},
+{17462, 18, 68377, {1, 1, 7, 5, 15, 45, 67, 109, 143, 423, 205, 849, 1291, 245, 26275, 62873, 69177, 173705}},
+{17463, 18, 68401, {1, 3, 7, 13, 3, 13, 103, 45, 171, 919, 903, 2171, 5025, 14855, 895, 36937, 37643, 30311}},
+{17464, 18, 68422, {1, 3, 1, 5, 31, 35, 67, 111, 201, 183, 375, 905, 5705, 8839, 31551, 22525, 53013, 34189}},
+{17465, 18, 68434, {1, 1, 3, 7, 25, 11, 85, 231, 285, 957, 1731, 1267, 8179, 14195, 18405, 8489, 32503, 86257}},
+{17466, 18, 68443, {1, 3, 7, 5, 29, 7, 73, 15, 501, 909, 1325, 793, 4479, 12137, 30871, 36243, 109781, 7235}},
+{17467, 18, 68445, {1, 1, 3, 15, 13, 13, 75, 221, 497, 921, 1939, 2791, 5277, 6257, 11129, 109, 27549, 44901}},
+{17468, 18, 68476, {1, 1, 7, 3, 21, 9, 35, 113, 101, 15, 545, 2429, 5869, 11379, 14427, 28605, 108313, 220523}},
+{17469, 18, 68492, {1, 3, 5, 5, 21, 31, 79, 101, 11, 687, 609, 3741, 1259, 1529, 10185, 49863, 86529, 5147}},
+{17470, 18, 68504, {1, 3, 1, 5, 5, 49, 105, 213, 435, 201, 511, 525, 5219, 9503, 32023, 25407, 2493, 51165}},
+{17471, 18, 68525, {1, 1, 5, 9, 9, 61, 67, 107, 351, 519, 1373, 1261, 1069, 4325, 9579, 37117, 71759, 17601}},
+{17472, 18, 68540, {1, 1, 7, 7, 27, 63, 63, 229, 239, 291, 1813, 3831, 8091, 2553, 18445, 60707, 88855, 224325}},
+{17473, 18, 68543, {1, 1, 5, 7, 15, 23, 109, 7, 409, 447, 185, 3535, 4643, 13431, 11107, 48771, 95843, 155889}},
+{17474, 18, 68555, {1, 3, 3, 11, 9, 47, 13, 31, 83, 837, 1661, 2283, 299, 13161, 25305, 6079, 107237, 58477}},
+{17475, 18, 68563, {1, 3, 7, 15, 3, 31, 21, 245, 105, 141, 703, 71, 1887, 9345, 15719, 37737, 58431, 195997}},
+{17476, 18, 68576, {1, 1, 1, 13, 25, 21, 23, 67, 349, 581, 1585, 809, 3955, 4621, 25989, 25633, 107229, 193271}},
+{17477, 18, 68581, {1, 1, 5, 3, 15, 57, 111, 147, 243, 575, 851, 3461, 5171, 4203, 21855, 59579, 90509, 16897}},
+{17478, 18, 68617, {1, 1, 5, 13, 5, 45, 83, 59, 253, 261, 1277, 3179, 6397, 4277, 6629, 10979, 55759, 3033}},
+{17479, 18, 68631, {1, 1, 1, 9, 25, 1, 127, 159, 273, 357, 1343, 3209, 649, 6631, 1365, 40813, 98955, 181679}},
+{17480, 18, 68656, {1, 3, 1, 11, 1, 9, 67, 5, 41, 661, 863, 3769, 2737, 7261, 26829, 43093, 113025, 127975}},
+{17481, 18, 68666, {1, 1, 3, 3, 7, 5, 77, 207, 125, 625, 437, 1059, 2635, 1099, 25567, 63759, 97575, 231313}},
+{17482, 18, 68714, {1, 3, 7, 5, 21, 41, 11, 177, 489, 405, 1831, 1373, 6267, 11275, 23613, 55565, 120353, 98771}},
+{17483, 18, 68743, {1, 1, 3, 11, 15, 55, 103, 185, 493, 755, 1235, 3143, 4355, 4887, 11245, 60103, 4023, 184729}},
+{17484, 18, 68761, {1, 3, 1, 1, 23, 5, 103, 117, 269, 101, 2013, 1781, 6445, 8753, 15041, 13993, 28753, 47133}},
+{17485, 18, 68764, {1, 3, 7, 5, 9, 23, 1, 203, 19, 535, 1445, 1713, 5503, 11555, 6195, 35797, 55663, 10187}},
+{17486, 18, 68767, {1, 3, 5, 1, 15, 3, 125, 225, 447, 269, 1663, 1823, 4309, 12243, 16689, 3889, 41111, 123355}},
+{17487, 18, 68768, {1, 1, 1, 5, 21, 33, 83, 147, 243, 101, 1085, 121, 4939, 6081, 22621, 52995, 103047, 82531}},
+{17488, 18, 68786, {1, 3, 5, 3, 21, 3, 5, 81, 431, 191, 1973, 3675, 6691, 8687, 31619, 51669, 95541, 110447}},
+{17489, 18, 68788, {1, 1, 1, 15, 1, 11, 83, 145, 75, 133, 967, 2837, 5111, 6099, 9119, 53661, 128647, 40557}},
+{17490, 18, 68848, {1, 1, 1, 7, 3, 57, 101, 231, 255, 117, 1903, 2133, 3867, 11299, 647, 58853, 22153, 135959}},
+{17491, 18, 68851, {1, 3, 5, 5, 9, 19, 89, 229, 313, 421, 201, 953, 2487, 6283, 1305, 33421, 20933, 164841}},
+{17492, 18, 68914, {1, 1, 3, 3, 1, 45, 93, 165, 343, 577, 1329, 3019, 2727, 14397, 7123, 63347, 45525, 35133}},
+{17493, 18, 68946, {1, 3, 5, 5, 19, 1, 33, 55, 49, 1003, 1567, 2539, 7461, 14641, 7655, 37499, 65525, 84961}},
+{17494, 18, 68952, {1, 3, 5, 5, 29, 3, 77, 39, 251, 791, 215, 3779, 1589, 3577, 22299, 24133, 105449, 257157}},
+{17495, 18, 68973, {1, 3, 1, 5, 7, 23, 109, 209, 35, 571, 1047, 3453, 3657, 11713, 19379, 57101, 29943, 60909}},
+{17496, 18, 69001, {1, 1, 7, 11, 17, 63, 15, 175, 333, 831, 1447, 1991, 3339, 2519, 30127, 51481, 71935, 144995}},
+{17497, 18, 69016, {1, 3, 1, 11, 13, 51, 17, 67, 43, 209, 789, 1285, 5655, 5841, 10203, 32053, 15721, 211725}},
+{17498, 18, 69035, {1, 1, 5, 7, 31, 49, 69, 255, 325, 819, 1769, 1961, 7403, 1241, 2241, 40425, 14839, 178969}},
+{17499, 18, 69037, {1, 1, 3, 9, 1, 5, 9, 35, 167, 865, 337, 1079, 6195, 10139, 19215, 57607, 122437, 197147}},
+{17500, 18, 69049, {1, 1, 1, 15, 23, 7, 47, 155, 345, 547, 333, 3747, 961, 1397, 17067, 33385, 48253, 138611}},
+{17501, 18, 69052, {1, 1, 7, 9, 29, 27, 81, 183, 153, 171, 1125, 1929, 1047, 12463, 1543, 42981, 126163, 203259}},
+{17502, 18, 69058, {1, 1, 5, 3, 1, 41, 123, 213, 7, 179, 1, 3527, 1437, 3545, 2025, 5325, 27097, 187823}},
+{17503, 18, 69063, {1, 1, 7, 1, 19, 5, 111, 251, 431, 91, 1437, 1155, 335, 9587, 18287, 23937, 123331, 3939}},
+{17504, 18, 69075, {1, 1, 1, 9, 13, 59, 75, 219, 225, 313, 525, 2003, 7829, 7063, 22123, 4263, 95491, 9375}},
+{17505, 18, 69112, {1, 3, 1, 1, 27, 29, 71, 189, 169, 301, 165, 2967, 5147, 7127, 2191, 34259, 66605, 149603}},
+{17506, 18, 69117, {1, 3, 5, 13, 29, 57, 105, 31, 495, 311, 1161, 2109, 1471, 1275, 12761, 58379, 46365, 229935}},
+{17507, 18, 69124, {1, 1, 7, 3, 7, 49, 125, 189, 309, 399, 1361, 3969, 2177, 8171, 26623, 41855, 2809, 5825}},
+{17508, 18, 69127, {1, 3, 5, 7, 17, 21, 77, 101, 37, 661, 1743, 2243, 823, 12431, 26931, 7163, 108093, 191305}},
+{17509, 18, 69134, {1, 1, 7, 5, 27, 55, 109, 119, 13, 727, 421, 3469, 1137, 6125, 5107, 52733, 102891, 147425}},
+{17510, 18, 69139, {1, 1, 3, 5, 17, 45, 17, 211, 137, 21, 689, 1487, 233, 9845, 6499, 52617, 73081, 198137}},
+{17511, 18, 69161, {1, 3, 7, 1, 25, 27, 67, 7, 161, 633, 729, 807, 7371, 7301, 29499, 45939, 110565, 219491}},
+{17512, 18, 69196, {1, 3, 3, 13, 17, 7, 55, 211, 103, 981, 1809, 1913, 5705, 14011, 7405, 13893, 92053, 17997}},
+{17513, 18, 69224, {1, 1, 1, 1, 15, 9, 75, 37, 5, 443, 157, 2749, 5587, 16087, 14953, 26793, 21229, 226879}},
+{17514, 18, 69238, {1, 3, 3, 3, 9, 13, 113, 7, 255, 647, 235, 1713, 525, 8579, 20873, 49565, 43869, 145823}},
+{17515, 18, 69301, {1, 1, 5, 15, 9, 1, 119, 189, 73, 321, 1045, 467, 1565, 14381, 22683, 7939, 44337, 231901}},
+{17516, 18, 69316, {1, 1, 3, 13, 21, 61, 35, 105, 425, 395, 381, 1205, 3631, 8099, 23723, 29435, 94683, 180367}},
+{17517, 18, 69325, {1, 3, 3, 13, 19, 15, 59, 111, 355, 165, 857, 3131, 5037, 2527, 17533, 53563, 621, 89837}},
+{17518, 18, 69334, {1, 3, 3, 11, 11, 41, 3, 75, 179, 325, 897, 3141, 75, 1735, 493, 1123, 126763, 68645}},
+{17519, 18, 69347, {1, 3, 5, 7, 19, 61, 9, 99, 101, 583, 1967, 621, 1869, 10693, 2025, 62797, 85727, 212309}},
+{17520, 18, 69359, {1, 3, 1, 13, 23, 47, 15, 29, 199, 889, 423, 3995, 1655, 10753, 25301, 55551, 94829, 205833}},
+{17521, 18, 69381, {1, 1, 1, 1, 21, 1, 91, 237, 195, 721, 881, 1155, 4109, 10367, 1873, 6851, 13295, 182363}},
+{17522, 18, 69388, {1, 1, 5, 15, 19, 35, 37, 197, 137, 255, 93, 681, 949, 15183, 24785, 39357, 65547, 149013}},
+{17523, 18, 69393, {1, 3, 3, 3, 27, 27, 95, 239, 171, 513, 655, 1629, 4577, 3005, 1681, 2581, 59995, 83981}},
+{17524, 18, 69409, {1, 3, 3, 7, 29, 33, 111, 85, 437, 297, 1563, 2411, 6171, 2043, 17625, 59093, 995, 211599}},
+{17525, 18, 69422, {1, 3, 1, 13, 19, 35, 33, 9, 57, 153, 819, 2017, 5879, 13559, 23135, 25981, 41091, 50975}},
+{17526, 18, 69453, {1, 3, 5, 11, 23, 53, 11, 123, 119, 57, 1775, 3457, 7939, 4999, 10771, 23571, 30099, 17361}},
+{17527, 18, 69459, {1, 1, 7, 11, 27, 13, 7, 215, 7, 1009, 1967, 1845, 6679, 13781, 21797, 18755, 47131, 245907}},
+{17528, 18, 69481, {1, 1, 1, 3, 19, 47, 35, 13, 287, 349, 439, 3125, 2387, 12483, 3833, 29399, 27037, 30235}},
+{17529, 18, 69487, {1, 3, 1, 15, 17, 41, 15, 21, 499, 87, 1899, 2835, 1919, 925, 4525, 12935, 25021, 106657}},
+{17530, 18, 69490, {1, 1, 1, 13, 17, 59, 73, 75, 443, 199, 1871, 3447, 4517, 8395, 16661, 30655, 17871, 231337}},
+{17531, 18, 69495, {1, 1, 7, 1, 1, 53, 17, 49, 259, 77, 917, 631, 6061, 12291, 17715, 49761, 70699, 68313}},
+{17532, 18, 69501, {1, 1, 3, 9, 13, 27, 67, 149, 229, 347, 1397, 3457, 6047, 13117, 11, 18121, 70323, 36441}},
+{17533, 18, 69511, {1, 3, 5, 7, 27, 13, 69, 177, 451, 87, 647, 3797, 5433, 3137, 20213, 9809, 126877, 55243}},
+{17534, 18, 69512, {1, 3, 7, 13, 21, 57, 73, 157, 173, 631, 1527, 337, 5605, 8041, 2181, 19567, 19829, 63353}},
+{17535, 18, 69532, {1, 3, 3, 7, 11, 5, 111, 161, 247, 553, 435, 3883, 5639, 10889, 8953, 58297, 15197, 99711}},
+{17536, 18, 69542, {1, 1, 7, 13, 11, 29, 71, 251, 387, 1003, 1275, 763, 67, 10597, 5995, 53677, 4683, 2157}},
+{17537, 18, 69560, {1, 1, 3, 9, 23, 27, 93, 209, 325, 517, 297, 3215, 4359, 395, 10377, 36967, 69803, 190037}},
+{17538, 18, 69565, {1, 1, 1, 3, 27, 61, 21, 229, 469, 3, 387, 523, 4753, 2267, 9879, 32113, 60837, 76205}},
+{17539, 18, 69571, {1, 3, 1, 7, 31, 31, 67, 15, 161, 699, 713, 2973, 2007, 693, 21823, 57549, 28989, 157879}},
+{17540, 18, 69611, {1, 3, 1, 1, 3, 63, 111, 61, 311, 685, 1029, 345, 6763, 16217, 14505, 9777, 3513, 160985}},
+{17541, 18, 69633, {1, 1, 1, 11, 5, 25, 13, 79, 337, 3, 1997, 3489, 7621, 12115, 9221, 7953, 19067, 52697}},
+{17542, 18, 69640, {1, 1, 1, 3, 19, 3, 85, 127, 475, 391, 293, 2249, 1211, 1185, 17133, 6753, 65517, 98157}},
+{17543, 18, 69667, {1, 1, 5, 9, 11, 31, 57, 107, 315, 983, 1117, 2189, 4813, 9925, 26635, 30589, 32989, 44195}},
+{17544, 18, 69669, {1, 1, 7, 7, 21, 1, 1, 221, 421, 199, 539, 3981, 4627, 15655, 12621, 20427, 11619, 187185}},
+{17545, 18, 69679, {1, 1, 7, 5, 13, 19, 49, 31, 55, 35, 1847, 3173, 475, 15245, 30907, 50075, 130837, 87283}},
+{17546, 18, 69688, {1, 1, 7, 15, 13, 47, 13, 17, 169, 185, 1411, 1689, 2339, 2159, 10591, 52283, 26785, 255707}},
+{17547, 18, 69699, {1, 3, 5, 7, 3, 29, 7, 83, 329, 747, 1755, 1067, 2565, 2437, 12309, 15043, 97589, 69409}},
+{17548, 18, 69756, {1, 3, 3, 9, 19, 49, 9, 231, 427, 131, 485, 1637, 1129, 14723, 19071, 47997, 74613, 171539}},
+{17549, 18, 69759, {1, 1, 1, 1, 5, 17, 105, 39, 313, 407, 1321, 3013, 8035, 4395, 15917, 21105, 53599, 21341}},
+{17550, 18, 69770, {1, 3, 1, 15, 7, 35, 5, 153, 485, 1019, 713, 1891, 5023, 13885, 15911, 48215, 81719, 228189}},
+{17551, 18, 69772, {1, 1, 3, 3, 19, 3, 103, 55, 221, 847, 27, 1653, 4887, 3617, 30235, 42353, 67007, 21443}},
+{17552, 18, 69826, {1, 1, 7, 15, 15, 39, 65, 189, 251, 411, 1953, 1187, 141, 14919, 7763, 50879, 2569, 63467}},
+{17553, 18, 69840, {1, 1, 7, 1, 15, 3, 37, 133, 11, 745, 697, 3755, 1233, 2009, 25597, 40661, 40743, 198117}},
+{17554, 18, 69846, {1, 1, 7, 15, 5, 17, 13, 253, 197, 491, 1499, 2141, 6803, 13833, 27297, 385, 54341, 64305}},
+{17555, 18, 69868, {1, 3, 5, 7, 3, 11, 19, 193, 441, 575, 1649, 1821, 2621, 15803, 7343, 37361, 16467, 60629}},
+{17556, 18, 69885, {1, 3, 3, 11, 11, 29, 109, 1, 83, 475, 1913, 1975, 1289, 5221, 24221, 7479, 26683, 203435}},
+{17557, 18, 69946, {1, 1, 3, 13, 3, 35, 119, 131, 323, 413, 147, 4009, 3167, 11161, 30523, 65223, 109859, 239317}},
+{17558, 18, 69966, {1, 3, 1, 11, 25, 17, 103, 165, 437, 163, 1141, 105, 3655, 8105, 20859, 50727, 27915, 19309}},
+{17559, 18, 69973, {1, 3, 3, 11, 9, 59, 17, 135, 131, 781, 675, 2865, 7287, 11431, 3717, 56691, 54971, 83433}},
+{17560, 18, 69977, {1, 1, 1, 11, 3, 1, 59, 35, 299, 927, 1761, 823, 287, 13271, 30321, 32895, 45961, 23151}},
+{17561, 18, 69980, {1, 3, 3, 7, 11, 3, 11, 115, 241, 497, 1359, 1789, 6677, 2683, 21145, 58185, 46131, 17591}},
+{17562, 18, 69984, {1, 3, 1, 3, 17, 5, 65, 169, 247, 1001, 1183, 1801, 759, 2797, 28721, 7549, 112463, 127451}},
+{17563, 18, 69994, {1, 1, 1, 11, 1, 49, 5, 227, 333, 793, 759, 2845, 6261, 6325, 6581, 35853, 39737, 21457}},
+{17564, 18, 70024, {1, 1, 1, 3, 7, 17, 81, 105, 453, 207, 1113, 301, 4933, 14715, 18815, 29165, 85251, 209171}},
+{17565, 18, 70044, {1, 3, 1, 13, 3, 25, 7, 109, 249, 649, 1009, 937, 659, 14605, 13325, 26003, 45507, 166837}},
+{17566, 18, 70053, {1, 3, 7, 11, 19, 57, 55, 213, 261, 325, 761, 3167, 6823, 15039, 13329, 30195, 52103, 27877}},
+{17567, 18, 70086, {1, 3, 3, 11, 31, 45, 3, 185, 225, 143, 651, 327, 4263, 6005, 31577, 57779, 90485, 48393}},
+{17568, 18, 70113, {1, 1, 3, 13, 9, 21, 97, 63, 285, 531, 1275, 175, 693, 3735, 15137, 62193, 80533, 196545}},
+{17569, 18, 70120, {1, 1, 1, 11, 5, 25, 101, 111, 101, 17, 1999, 3709, 19, 5087, 20151, 4781, 88417, 186293}},
+{17570, 18, 70131, {1, 1, 5, 7, 31, 37, 39, 85, 451, 189, 1521, 619, 5021, 2601, 32447, 43513, 8317, 170611}},
+{17571, 18, 70150, {1, 1, 7, 1, 25, 45, 33, 111, 443, 719, 1869, 3619, 5751, 2649, 27823, 55465, 113203, 23875}},
+{17572, 18, 70178, {1, 3, 5, 15, 19, 47, 49, 241, 75, 395, 307, 1001, 137, 7029, 21661, 39159, 94129, 106693}},
+{17573, 18, 70198, {1, 3, 7, 1, 7, 35, 85, 27, 285, 975, 565, 2119, 5861, 9229, 15877, 25017, 10551, 155357}},
+{17574, 18, 70227, {1, 3, 3, 5, 29, 41, 17, 159, 211, 571, 907, 1745, 6541, 11643, 4441, 54599, 83359, 57227}},
+{17575, 18, 70285, {1, 3, 7, 5, 19, 11, 37, 191, 75, 443, 1833, 1715, 6949, 2477, 31161, 15647, 84305, 82887}},
+{17576, 18, 70288, {1, 1, 3, 9, 29, 35, 87, 11, 147, 443, 1659, 2457, 1615, 16135, 10729, 31583, 111583, 52607}},
+{17577, 18, 70291, {1, 3, 7, 1, 7, 47, 55, 133, 53, 23, 225, 2689, 3075, 12435, 8337, 37065, 58631, 247415}},
+{17578, 18, 70309, {1, 3, 3, 9, 23, 39, 5, 17, 353, 443, 627, 1609, 5277, 3899, 31111, 5935, 25445, 161043}},
+{17579, 18, 70334, {1, 3, 3, 11, 31, 11, 97, 99, 37, 169, 1361, 689, 5481, 5935, 11957, 36761, 105641, 250905}},
+{17580, 18, 70339, {1, 1, 7, 15, 31, 33, 3, 201, 125, 649, 315, 497, 7715, 2331, 9081, 16073, 88459, 70475}},
+{17581, 18, 70381, {1, 1, 7, 13, 25, 25, 39, 193, 185, 253, 495, 1143, 3745, 3459, 10935, 22029, 70213, 245827}},
+{17582, 18, 70413, {1, 3, 3, 11, 1, 47, 93, 27, 117, 755, 1837, 4045, 4839, 3413, 21395, 41905, 6505, 158029}},
+{17583, 18, 70414, {1, 3, 5, 5, 3, 41, 23, 207, 3, 409, 1635, 3511, 899, 747, 10623, 44933, 62439, 75577}},
+{17584, 18, 70481, {1, 3, 7, 15, 1, 15, 113, 175, 43, 513, 515, 1295, 1903, 9961, 20995, 57319, 40649, 22799}},
+{17585, 18, 70488, {1, 1, 5, 9, 7, 25, 99, 167, 117, 547, 777, 3819, 4409, 13465, 3963, 53355, 67895, 58007}},
+{17586, 18, 70493, {1, 1, 5, 9, 25, 9, 11, 113, 455, 563, 143, 1507, 4055, 6805, 25027, 37645, 475, 193193}},
+{17587, 18, 70515, {1, 1, 1, 11, 15, 27, 123, 199, 229, 27, 1285, 4013, 6541, 11203, 23705, 56821, 59665, 151109}},
+{17588, 18, 70540, {1, 1, 3, 1, 31, 19, 27, 129, 235, 407, 865, 2723, 5387, 7727, 2309, 45787, 118107, 199907}},
+{17589, 18, 70543, {1, 1, 5, 15, 17, 1, 21, 167, 165, 203, 745, 825, 7993, 15191, 13731, 13417, 543, 201511}},
+{17590, 18, 70558, {1, 3, 1, 1, 29, 49, 45, 81, 321, 755, 1319, 633, 4889, 7809, 6305, 58233, 20213, 144915}},
+{17591, 18, 70568, {1, 1, 3, 13, 1, 31, 73, 173, 111, 961, 1995, 3827, 879, 5567, 31103, 13227, 126611, 204507}},
+{17592, 18, 70582, {1, 1, 3, 7, 21, 3, 75, 137, 125, 981, 1991, 1167, 1249, 3821, 19503, 52855, 122329, 68717}},
+{17593, 18, 70593, {1, 1, 1, 13, 17, 17, 69, 167, 327, 635, 427, 2125, 7499, 9715, 24097, 39361, 64301, 63411}},
+{17594, 18, 70596, {1, 1, 1, 1, 31, 57, 55, 31, 289, 251, 823, 2301, 5965, 3381, 479, 39545, 93051, 68683}},
+{17595, 18, 70613, {1, 1, 3, 3, 15, 27, 117, 37, 29, 851, 1891, 3507, 6279, 323, 11451, 57961, 41487, 188359}},
+{17596, 18, 70620, {1, 1, 5, 1, 25, 55, 125, 207, 129, 849, 589, 1381, 3395, 645, 1157, 29285, 105423, 104429}},
+{17597, 18, 70647, {1, 1, 7, 7, 9, 47, 41, 103, 473, 395, 883, 1087, 2827, 9685, 6313, 15461, 39803, 254865}},
+{17598, 18, 70666, {1, 1, 7, 3, 17, 55, 71, 119, 159, 185, 1415, 3033, 3045, 1403, 18349, 2727, 123995, 45953}},
+{17599, 18, 70710, {1, 1, 3, 15, 17, 11, 19, 25, 483, 29, 1329, 1779, 2885, 6655, 28327, 42255, 87555, 211051}},
+{17600, 18, 70719, {1, 3, 5, 11, 29, 19, 43, 141, 157, 87, 1091, 3505, 3139, 11919, 12123, 31581, 116229, 167875}},
+{17601, 18, 70721, {1, 3, 1, 5, 25, 55, 113, 219, 491, 607, 1641, 3833, 3153, 1881, 16027, 39923, 38551, 204819}},
+{17602, 18, 70722, {1, 1, 5, 3, 7, 9, 73, 181, 305, 211, 1699, 983, 3051, 11643, 12445, 44827, 74613, 199699}},
+{17603, 18, 70742, {1, 1, 3, 5, 23, 21, 115, 49, 311, 205, 963, 1357, 4013, 8357, 7065, 47757, 7937, 249935}},
+{17604, 18, 70757, {1, 1, 1, 9, 23, 61, 21, 165, 9, 829, 457, 3975, 5831, 10901, 15871, 36769, 45899, 162083}},
+{17605, 18, 70764, {1, 1, 3, 3, 25, 41, 91, 45, 37, 939, 299, 3815, 6433, 3121, 10585, 62125, 51333, 171615}},
+{17606, 18, 70781, {1, 1, 5, 11, 1, 1, 39, 45, 141, 803, 1493, 1151, 6243, 8683, 30223, 53661, 7949, 197291}},
+{17607, 18, 70795, {1, 1, 3, 1, 17, 35, 29, 253, 395, 933, 1015, 3431, 139, 9095, 30745, 39747, 58837, 28517}},
+{17608, 18, 70803, {1, 1, 5, 3, 21, 17, 105, 21, 249, 387, 1985, 951, 6323, 8221, 24601, 57367, 18751, 240661}},
+{17609, 18, 70809, {1, 1, 7, 9, 5, 21, 23, 149, 243, 501, 935, 855, 1821, 15885, 2239, 39091, 93615, 31411}},
+{17610, 18, 70821, {1, 1, 1, 3, 23, 11, 43, 5, 65, 193, 1723, 3253, 7533, 12987, 571, 56073, 125061, 97117}},
+{17611, 18, 70846, {1, 1, 1, 13, 13, 21, 113, 79, 115, 867, 777, 2199, 501, 2913, 18697, 14959, 18369, 41631}},
+{17612, 18, 70882, {1, 1, 7, 13, 13, 53, 101, 165, 447, 995, 587, 201, 1701, 6429, 8647, 59265, 27321, 110841}},
+{17613, 18, 70887, {1, 3, 1, 3, 25, 35, 67, 95, 173, 877, 1133, 3027, 2321, 12517, 4313, 24469, 40313, 253095}},
+{17614, 18, 70940, {1, 1, 1, 9, 17, 33, 103, 141, 259, 963, 1975, 2979, 5017, 15689, 30659, 55145, 73737, 43539}},
+{17615, 18, 70961, {1, 3, 1, 15, 7, 7, 7, 1, 267, 415, 1591, 17, 2451, 13415, 6993, 16631, 90019, 237161}},
+{17616, 18, 70996, {1, 1, 7, 11, 11, 37, 107, 143, 263, 49, 1391, 3269, 6139, 1413, 26557, 16369, 86789, 89151}},
+{17617, 18, 71012, {1, 1, 7, 13, 27, 41, 3, 169, 453, 547, 157, 3219, 4711, 9805, 10657, 8121, 40229, 247825}},
+{17618, 18, 71046, {1, 3, 3, 3, 25, 25, 109, 253, 67, 901, 259, 1159, 6161, 6763, 19669, 42775, 74089, 69821}},
+{17619, 18, 71057, {1, 3, 7, 15, 11, 25, 91, 137, 247, 851, 511, 1847, 1179, 411, 9545, 31275, 46201, 169677}},
+{17620, 18, 71060, {1, 1, 5, 3, 3, 61, 19, 167, 491, 765, 1997, 3267, 883, 15439, 27581, 24865, 128245, 130055}},
+{17621, 18, 71063, {1, 1, 3, 9, 17, 61, 7, 109, 325, 347, 1109, 889, 2995, 4763, 21551, 60137, 91833, 126989}},
+{17622, 18, 71079, {1, 3, 3, 7, 5, 17, 61, 107, 209, 577, 885, 2611, 1471, 7549, 16199, 12319, 48865, 242229}},
+{17623, 18, 71080, {1, 3, 5, 1, 5, 49, 85, 177, 213, 583, 857, 179, 1805, 4297, 5835, 61923, 22741, 261983}},
+{17624, 18, 71111, {1, 3, 1, 13, 1, 1, 83, 227, 457, 375, 567, 1563, 2085, 8153, 12563, 44561, 115487, 188351}},
+{17625, 18, 71118, {1, 3, 1, 9, 15, 39, 127, 135, 181, 967, 1495, 3187, 7463, 9651, 26261, 57435, 42069, 48549}},
+{17626, 18, 71129, {1, 3, 1, 7, 5, 31, 111, 19, 19, 855, 273, 2089, 6001, 2799, 26013, 6625, 75623, 150185}},
+{17627, 18, 71136, {1, 1, 7, 1, 31, 19, 15, 159, 35, 791, 1005, 3947, 7031, 41, 28807, 45299, 37761, 101191}},
+{17628, 18, 71142, {1, 3, 5, 3, 15, 7, 7, 67, 329, 367, 843, 2309, 3023, 5369, 21561, 18881, 14395, 193369}},
+{17629, 18, 71145, {1, 3, 3, 11, 21, 53, 3, 251, 87, 131, 563, 847, 8049, 1639, 30103, 30461, 108427, 125197}},
+{17630, 18, 71151, {1, 1, 1, 5, 21, 45, 79, 229, 29, 133, 1873, 261, 4221, 3091, 25569, 11219, 70693, 227025}},
+{17631, 18, 71163, {1, 3, 1, 5, 17, 9, 75, 101, 155, 311, 789, 821, 7361, 3791, 18511, 57607, 97647, 42107}},
+{17632, 18, 71218, {1, 3, 1, 11, 21, 39, 33, 179, 7, 775, 55, 3779, 6163, 3575, 27535, 32363, 9169, 57133}},
+{17633, 18, 71223, {1, 3, 7, 3, 19, 33, 19, 11, 173, 175, 219, 3585, 1115, 15693, 23481, 45669, 94149, 19531}},
+{17634, 18, 71232, {1, 1, 5, 11, 11, 49, 29, 217, 229, 757, 1031, 3833, 4235, 13535, 8765, 20707, 52851, 9037}},
+{17635, 18, 71237, {1, 3, 1, 13, 25, 61, 65, 111, 95, 533, 1235, 2947, 3239, 9513, 11395, 9321, 117535, 228289}},
+{17636, 18, 71272, {1, 1, 1, 3, 19, 33, 13, 233, 331, 811, 1931, 1109, 7705, 3129, 19757, 44325, 97903, 165311}},
+{17637, 18, 71323, {1, 1, 3, 15, 13, 55, 57, 81, 257, 613, 1305, 653, 6059, 4935, 15707, 4717, 1859, 109265}},
+{17638, 18, 71339, {1, 1, 7, 15, 15, 19, 19, 91, 213, 311, 1651, 2215, 6985, 2989, 11961, 28647, 111163, 217187}},
+{17639, 18, 71341, {1, 3, 3, 5, 15, 31, 45, 193, 119, 11, 511, 3155, 5989, 813, 32655, 41531, 121007, 24733}},
+{17640, 18, 71349, {1, 3, 7, 1, 19, 63, 61, 11, 225, 677, 1323, 1655, 7607, 15691, 27083, 56743, 116167, 250413}},
+{17641, 18, 71368, {1, 1, 1, 15, 7, 25, 27, 213, 171, 1011, 1483, 119, 6849, 12527, 20601, 35701, 68377, 245669}},
+{17642, 18, 71379, {1, 3, 7, 5, 27, 5, 7, 117, 127, 871, 631, 3395, 1501, 4839, 1857, 45769, 107597, 90385}},
+{17643, 18, 71395, {1, 1, 3, 13, 1, 15, 49, 69, 479, 919, 881, 3069, 5609, 12795, 30225, 14411, 122847, 75569}},
+{17644, 18, 71407, {1, 1, 5, 9, 1, 15, 91, 207, 235, 667, 321, 2047, 841, 16049, 12499, 8799, 8245, 42199}},
+{17645, 18, 71421, {1, 3, 7, 15, 11, 19, 99, 163, 331, 953, 791, 3443, 3215, 8025, 1999, 43685, 72595, 153185}},
+{17646, 18, 71430, {1, 3, 1, 13, 25, 23, 17, 133, 59, 233, 151, 1971, 3611, 3951, 16979, 991, 73325, 158475}},
+{17647, 18, 71436, {1, 3, 5, 11, 1, 53, 123, 81, 285, 457, 1183, 489, 939, 3069, 15845, 24799, 81301, 105187}},
+{17648, 18, 71454, {1, 3, 5, 1, 11, 5, 61, 151, 5, 813, 1347, 1107, 4915, 4035, 18709, 20909, 60569, 55007}},
+{17649, 18, 71467, {1, 3, 3, 7, 27, 41, 79, 193, 471, 415, 937, 2561, 1669, 9213, 21145, 44917, 64763, 33195}},
+{17650, 18, 71472, {1, 3, 7, 13, 31, 5, 71, 237, 419, 957, 1741, 2829, 5879, 8143, 8717, 48995, 114465, 110295}},
+{17651, 18, 71478, {1, 1, 7, 3, 7, 23, 83, 161, 381, 313, 383, 2813, 333, 4647, 18321, 10437, 111645, 55509}},
+{17652, 18, 71481, {1, 1, 5, 9, 23, 1, 83, 121, 245, 37, 1097, 1437, 3891, 2727, 30775, 27649, 95571, 216245}},
+{17653, 18, 71501, {1, 1, 5, 7, 1, 43, 59, 253, 329, 421, 791, 3945, 2599, 2243, 11121, 37761, 27223, 176867}},
+{17654, 18, 71519, {1, 3, 5, 5, 25, 59, 85, 155, 367, 291, 1025, 1415, 7871, 14191, 23249, 32233, 93253, 177869}},
+{17655, 18, 71530, {1, 1, 1, 9, 21, 41, 111, 241, 177, 999, 779, 2827, 1683, 6405, 16133, 26523, 102567, 190313}},
+{17656, 18, 71550, {1, 3, 3, 15, 13, 59, 69, 239, 231, 511, 1675, 147, 4041, 3723, 29191, 24913, 15601, 198141}},
+{17657, 18, 71573, {1, 3, 3, 9, 17, 29, 1, 107, 243, 509, 1949, 205, 1693, 6339, 31591, 61527, 128043, 222497}},
+{17658, 18, 71593, {1, 3, 7, 3, 21, 7, 87, 57, 9, 209, 1831, 2189, 5523, 8509, 23687, 46221, 87469, 146815}},
+{17659, 18, 71608, {1, 3, 7, 9, 5, 45, 51, 207, 401, 681, 469, 1951, 793, 16379, 32143, 55457, 91787, 178569}},
+{17660, 18, 71619, {1, 3, 3, 9, 19, 15, 121, 143, 243, 795, 1839, 2411, 7175, 11535, 31995, 4157, 20111, 92653}},
+{17661, 18, 71622, {1, 3, 1, 1, 1, 5, 47, 107, 455, 429, 1411, 2375, 2823, 14657, 16297, 21893, 115257, 50343}},
+{17662, 18, 71636, {1, 3, 5, 9, 19, 63, 55, 197, 281, 797, 1539, 2601, 4497, 1631, 26583, 23819, 104553, 27285}},
+{17663, 18, 71650, {1, 1, 3, 9, 23, 41, 123, 37, 327, 789, 1711, 1299, 6735, 7243, 30635, 21251, 56081, 65623}},
+{17664, 18, 71655, {1, 3, 7, 15, 25, 49, 89, 231, 133, 1003, 351, 765, 7115, 16239, 1141, 44063, 31519, 233719}},
+{17665, 18, 71685, {1, 3, 7, 3, 13, 37, 93, 83, 59, 539, 1185, 525, 705, 993, 1113, 1871, 60817, 254075}},
+{17666, 18, 71703, {1, 3, 7, 11, 25, 33, 23, 21, 141, 451, 25, 1321, 5139, 8947, 10305, 30175, 43123, 113049}},
+{17667, 18, 71714, {1, 3, 5, 5, 17, 1, 125, 211, 143, 637, 1175, 1149, 6775, 11091, 12503, 5537, 35379, 30045}},
+{17668, 18, 71748, {1, 1, 1, 15, 17, 31, 123, 33, 279, 831, 1247, 2305, 1033, 3201, 231, 23173, 34453, 66617}},
+{17669, 18, 71758, {1, 3, 3, 1, 3, 1, 23, 115, 421, 553, 273, 4091, 5965, 7521, 18393, 31229, 78533, 243921}},
+{17670, 18, 71766, {1, 1, 7, 15, 15, 29, 73, 165, 391, 215, 1801, 45, 7451, 6969, 27897, 36599, 103647, 145165}},
+{17671, 18, 71772, {1, 3, 3, 13, 5, 7, 67, 81, 477, 301, 1397, 921, 3777, 12431, 14753, 50555, 24497, 52995}},
+{17672, 18, 71785, {1, 1, 5, 5, 27, 21, 91, 155, 405, 347, 1135, 3701, 2471, 577, 3927, 52605, 1725, 25803}},
+{17673, 18, 71794, {1, 3, 1, 3, 15, 57, 117, 175, 437, 13, 1821, 649, 899, 1295, 2753, 2183, 47923, 163407}},
+{17674, 18, 71796, {1, 3, 5, 9, 23, 15, 103, 179, 233, 787, 715, 3751, 3321, 2069, 8299, 43417, 96549, 180737}},
+{17675, 18, 71803, {1, 3, 7, 9, 1, 41, 81, 205, 141, 707, 397, 763, 4797, 8843, 3311, 37425, 43873, 131491}},
+{17676, 18, 71809, {1, 1, 5, 3, 9, 29, 123, 163, 15, 871, 159, 2615, 6987, 471, 25653, 11295, 94481, 195409}},
+{17677, 18, 71858, {1, 3, 7, 3, 13, 7, 9, 59, 59, 381, 2027, 2639, 59, 7977, 14505, 34327, 99113, 157439}},
+{17678, 18, 71863, {1, 1, 5, 9, 27, 13, 87, 85, 443, 531, 1069, 3479, 6547, 13943, 13711, 11007, 37395, 190293}},
+{17679, 18, 71878, {1, 3, 7, 9, 19, 47, 95, 229, 395, 979, 359, 1799, 7389, 14377, 19371, 56785, 6699, 215433}},
+{17680, 18, 71895, {1, 1, 1, 5, 21, 15, 59, 17, 281, 585, 293, 3029, 2539, 16089, 19, 34757, 115811, 235565}},
+{17681, 18, 71899, {1, 1, 7, 11, 27, 19, 55, 217, 475, 119, 1291, 1761, 6879, 4355, 30019, 17573, 14987, 204623}},
+{17682, 18, 71906, {1, 1, 7, 11, 29, 47, 5, 201, 165, 845, 385, 2903, 7735, 10855, 14171, 17881, 45001, 100725}},
+{17683, 18, 71908, {1, 1, 5, 5, 31, 57, 99, 35, 315, 363, 1135, 897, 1041, 729, 26987, 15299, 29563, 67293}},
+{17684, 18, 71917, {1, 1, 5, 7, 27, 13, 99, 81, 491, 887, 1309, 3343, 7241, 1289, 12021, 52533, 101799, 238721}},
+{17685, 18, 71952, {1, 1, 1, 11, 27, 49, 79, 235, 49, 215, 2003, 2771, 5943, 1183, 31931, 33885, 56971, 52665}},
+{17686, 18, 71957, {1, 1, 1, 13, 13, 1, 123, 1, 191, 747, 859, 2287, 5113, 3715, 2217, 61483, 195, 237163}},
+{17687, 18, 71961, {1, 3, 7, 15, 13, 13, 17, 207, 141, 821, 231, 1373, 5355, 6503, 2403, 18183, 83717, 170047}},
+{17688, 18, 71973, {1, 3, 1, 3, 13, 11, 41, 51, 443, 201, 1349, 2331, 1009, 16169, 5247, 50315, 15589, 150497}},
+{17689, 18, 71980, {1, 3, 5, 13, 29, 21, 93, 55, 27, 17, 1615, 3473, 3641, 10999, 31955, 4699, 23585, 141243}},
+{17690, 18, 71997, {1, 3, 3, 11, 11, 27, 125, 139, 53, 637, 241, 2651, 4999, 5923, 16203, 13645, 95965, 94459}},
+{17691, 18, 72017, {1, 3, 7, 3, 9, 53, 87, 171, 489, 691, 303, 3599, 6093, 841, 3527, 12953, 22907, 69823}},
+{17692, 18, 72060, {1, 1, 5, 13, 31, 11, 33, 207, 437, 683, 703, 1757, 1443, 14269, 12677, 20877, 46791, 176135}},
+{17693, 18, 72091, {1, 1, 7, 1, 13, 53, 123, 199, 173, 585, 1099, 3653, 2253, 13741, 15675, 38755, 74545, 139053}},
+{17694, 18, 72097, {1, 3, 3, 3, 17, 11, 1, 161, 383, 409, 605, 889, 827, 263, 9677, 42857, 127691, 99621}},
+{17695, 18, 72166, {1, 3, 5, 9, 21, 21, 11, 151, 199, 695, 493, 569, 881, 10533, 11255, 61997, 124921, 211139}},
+{17696, 18, 72172, {1, 3, 5, 5, 9, 47, 109, 7, 195, 287, 97, 3691, 6929, 6985, 3063, 16185, 6313, 228147}},
+{17697, 18, 72183, {1, 3, 1, 3, 3, 9, 107, 243, 391, 893, 1207, 2229, 5295, 723, 14753, 10921, 104147, 214941}},
+{17698, 18, 72203, {1, 3, 1, 9, 5, 63, 63, 247, 413, 805, 285, 4001, 6735, 3531, 25949, 44845, 66959, 194429}},
+{17699, 18, 72205, {1, 1, 3, 1, 15, 15, 43, 69, 419, 739, 1739, 1091, 1043, 3217, 1139, 44749, 74131, 165145}},
+{17700, 18, 72213, {1, 1, 3, 9, 17, 53, 119, 25, 427, 791, 1873, 481, 6793, 4767, 30449, 18079, 52105, 260371}},
+{17701, 18, 72214, {1, 1, 3, 15, 15, 41, 15, 53, 395, 571, 1727, 3081, 4531, 4215, 22359, 18165, 91843, 157273}},
+{17702, 18, 72230, {1, 3, 3, 9, 19, 15, 55, 185, 321, 285, 695, 1067, 2551, 1401, 20023, 22671, 21365, 89053}},
+{17703, 18, 72239, {1, 1, 7, 15, 23, 57, 71, 141, 57, 479, 543, 3783, 3635, 14011, 23603, 40877, 21837, 81079}},
+{17704, 18, 72248, {1, 3, 7, 11, 31, 5, 83, 177, 105, 981, 331, 2901, 1781, 8407, 30199, 19287, 116219, 78471}},
+{17705, 18, 72251, {1, 1, 1, 9, 7, 13, 61, 21, 299, 15, 1045, 475, 7141, 4827, 5921, 17323, 42909, 203623}},
+{17706, 18, 72280, {1, 3, 7, 1, 17, 59, 99, 221, 77, 37, 1263, 2137, 1567, 12473, 20029, 9231, 32739, 17021}},
+{17707, 18, 72313, {1, 1, 1, 5, 23, 61, 39, 13, 97, 191, 1479, 19, 1913, 3185, 32393, 59067, 5483, 158895}},
+{17708, 18, 72338, {1, 1, 1, 7, 5, 51, 81, 223, 435, 939, 781, 1153, 6409, 6369, 30559, 19007, 50121, 26525}},
+{17709, 18, 72340, {1, 3, 3, 5, 29, 1, 57, 127, 153, 897, 161, 683, 295, 11207, 245, 1819, 3061, 242609}},
+{17710, 18, 72343, {1, 1, 1, 7, 5, 19, 105, 57, 263, 433, 1339, 1479, 6671, 9917, 26299, 4573, 68725, 195}},
+{17711, 18, 72368, {1, 3, 5, 15, 1, 19, 45, 95, 155, 117, 367, 2051, 1053, 8847, 6399, 23641, 95355, 98415}},
+{17712, 18, 72371, {1, 3, 3, 15, 3, 1, 5, 115, 349, 747, 1865, 1669, 659, 7097, 7871, 3685, 11013, 59837}},
+{17713, 18, 72426, {1, 3, 3, 5, 9, 47, 51, 131, 327, 903, 975, 2481, 3509, 12481, 4049, 38053, 4629, 254415}},
+{17714, 18, 72439, {1, 3, 5, 9, 31, 47, 1, 29, 37, 683, 1363, 2527, 4019, 4965, 14077, 14191, 101, 1945}},
+{17715, 18, 72446, {1, 1, 7, 1, 9, 35, 41, 187, 509, 33, 385, 3907, 1461, 6827, 6931, 44723, 109495, 184641}},
+{17716, 18, 72494, {1, 3, 5, 9, 5, 49, 21, 171, 353, 927, 409, 913, 5199, 11747, 8777, 19891, 63189, 118839}},
+{17717, 18, 72519, {1, 3, 3, 1, 27, 49, 43, 157, 75, 469, 787, 3957, 4147, 13919, 17489, 57103, 62091, 135589}},
+{17718, 18, 72573, {1, 1, 3, 11, 7, 45, 29, 177, 185, 185, 1537, 127, 121, 817, 31269, 1677, 20245, 3835}},
+{17719, 18, 72577, {1, 1, 5, 3, 21, 9, 67, 79, 391, 971, 1711, 2607, 5705, 12863, 12415, 41255, 26447, 1643}},
+{17720, 18, 72578, {1, 1, 5, 5, 9, 63, 67, 245, 31, 225, 309, 1753, 1507, 817, 4275, 51843, 22331, 196875}},
+{17721, 18, 72614, {1, 3, 1, 13, 15, 39, 3, 245, 147, 485, 241, 2507, 1859, 7299, 15037, 41139, 82757, 224031}},
+{17722, 18, 72628, {1, 3, 3, 15, 7, 51, 9, 103, 37, 643, 25, 2067, 7619, 11991, 12885, 46809, 109107, 22393}},
+{17723, 18, 72640, {1, 1, 1, 9, 1, 55, 119, 85, 115, 827, 187, 2241, 2553, 577, 12115, 2391, 69705, 232101}},
+{17724, 18, 72676, {1, 1, 5, 7, 13, 61, 125, 129, 475, 703, 1723, 3233, 5713, 1941, 21375, 42119, 75199, 73163}},
+{17725, 18, 72708, {1, 1, 5, 5, 5, 21, 73, 155, 493, 81, 1627, 827, 5925, 7391, 1587, 39425, 11807, 64385}},
+{17726, 18, 72717, {1, 3, 1, 15, 27, 35, 111, 183, 283, 335, 1387, 669, 6041, 11637, 26255, 21113, 121183, 219703}},
+{17727, 18, 72766, {1, 3, 5, 15, 15, 23, 119, 91, 197, 809, 975, 3275, 6171, 11769, 8385, 5461, 4561, 29159}},
+{17728, 18, 72786, {1, 1, 5, 9, 29, 9, 107, 233, 417, 1005, 799, 1437, 2679, 15643, 32341, 54055, 27861, 115483}},
+{17729, 18, 72788, {1, 1, 5, 7, 27, 19, 95, 153, 175, 407, 215, 303, 8165, 14791, 2099, 61797, 129411, 10461}},
+{17730, 18, 72795, {1, 1, 1, 13, 25, 51, 11, 77, 97, 495, 971, 449, 2833, 7121, 24105, 34527, 123135, 129305}},
+{17731, 18, 72797, {1, 1, 7, 11, 23, 9, 111, 101, 169, 233, 267, 953, 6379, 15887, 22921, 33665, 95195, 159707}},
+{17732, 18, 72798, {1, 1, 5, 15, 21, 3, 21, 57, 173, 513, 2027, 1235, 5031, 5375, 2717, 23361, 71817, 232101}},
+{17733, 18, 72808, {1, 3, 3, 11, 7, 25, 43, 65, 19, 135, 1611, 85, 7673, 6459, 27813, 55557, 100989, 25205}},
+{17734, 18, 72826, {1, 3, 7, 1, 15, 37, 55, 141, 239, 205, 647, 3715, 1617, 13507, 9847, 64681, 108711, 231329}},
+{17735, 18, 72835, {1, 3, 5, 9, 21, 27, 79, 153, 335, 299, 493, 887, 1457, 16011, 13795, 50205, 43319, 130963}},
+{17736, 18, 72837, {1, 1, 3, 1, 23, 59, 121, 83, 463, 151, 323, 2977, 4769, 6011, 20135, 59541, 23179, 203487}},
+{17737, 18, 72865, {1, 1, 5, 7, 9, 17, 63, 149, 59, 281, 763, 619, 2551, 8179, 2963, 61283, 107727, 119817}},
+{17738, 18, 72871, {1, 3, 7, 3, 15, 39, 11, 145, 141, 965, 505, 2625, 4335, 7619, 11007, 43321, 33199, 212661}},
+{17739, 18, 72872, {1, 3, 5, 9, 9, 61, 27, 223, 5, 941, 513, 1437, 481, 9651, 6567, 57945, 52547, 21283}},
+{17740, 18, 72898, {1, 3, 1, 1, 25, 1, 87, 25, 121, 757, 529, 3857, 1321, 13479, 5357, 49341, 5797, 235895}},
+{17741, 18, 72907, {1, 3, 5, 1, 21, 35, 37, 215, 509, 165, 1423, 3067, 4779, 4693, 12523, 48099, 69283, 255111}},
+{17742, 18, 72909, {1, 1, 3, 1, 31, 15, 45, 127, 339, 331, 1249, 1075, 6169, 2941, 30471, 46789, 118039, 224651}},
+{17743, 18, 72917, {1, 1, 5, 13, 21, 37, 39, 61, 191, 17, 177, 3719, 2177, 11039, 20047, 14489, 20475, 171235}},
+{17744, 18, 72934, {1, 1, 3, 9, 19, 11, 65, 111, 121, 901, 99, 1861, 3687, 765, 24861, 46315, 63433, 171679}},
+{17745, 18, 72987, {1, 3, 1, 7, 1, 51, 87, 199, 241, 909, 353, 2471, 7163, 9547, 16351, 41129, 12217, 194099}},
+{17746, 18, 73000, {1, 1, 7, 7, 17, 17, 127, 67, 51, 217, 1189, 19, 2099, 10281, 9071, 21185, 122821, 110211}},
+{17747, 18, 73005, {1, 3, 3, 7, 15, 3, 53, 45, 77, 665, 701, 3175, 6151, 2639, 19819, 1063, 25079, 203343}},
+{17748, 18, 73014, {1, 1, 5, 11, 11, 5, 103, 11, 481, 999, 713, 499, 5069, 921, 20619, 25623, 69601, 82941}},
+{17749, 18, 73023, {1, 3, 5, 9, 15, 61, 67, 79, 371, 993, 475, 617, 1611, 12513, 14907, 55313, 39207, 112653}},
+{17750, 18, 73025, {1, 1, 5, 15, 17, 45, 91, 187, 175, 465, 907, 3371, 3743, 15657, 30511, 58191, 105683, 216759}},
+{17751, 18, 73074, {1, 1, 5, 9, 23, 1, 17, 79, 73, 717, 1785, 677, 7377, 4511, 21927, 34341, 47119, 193977}},
+{17752, 18, 73076, {1, 3, 7, 13, 21, 1, 59, 179, 121, 641, 175, 563, 961, 10549, 15779, 49875, 8109, 1039}},
+{17753, 18, 73113, {1, 1, 5, 7, 17, 9, 37, 171, 335, 135, 1403, 2541, 3845, 15311, 1905, 40853, 11013, 255669}},
+{17754, 18, 73116, {1, 1, 7, 1, 5, 23, 113, 111, 337, 755, 2037, 3067, 2821, 10549, 28467, 22615, 71585, 61871}},
+{17755, 18, 73140, {1, 1, 3, 9, 7, 3, 49, 229, 111, 871, 1711, 1793, 3089, 12571, 30883, 44773, 80827, 151709}},
+{17756, 18, 73149, {1, 1, 5, 1, 13, 41, 3, 253, 399, 881, 1107, 4081, 1849, 115, 31557, 2515, 126751, 195663}},
+{17757, 18, 73186, {1, 1, 3, 1, 13, 31, 113, 85, 57, 549, 1653, 2927, 5433, 11879, 22709, 41675, 13395, 46931}},
+{17758, 18, 73188, {1, 1, 3, 9, 21, 1, 109, 65, 377, 63, 861, 1031, 2709, 7265, 9861, 64109, 34577, 9743}},
+{17759, 18, 73191, {1, 1, 7, 7, 17, 31, 5, 177, 253, 387, 1271, 2805, 2211, 1813, 11649, 3217, 123793, 197753}},
+{17760, 18, 73205, {1, 1, 3, 9, 15, 63, 89, 59, 455, 783, 1181, 7, 2309, 15961, 11231, 37389, 101221, 119331}},
+{17761, 18, 73215, {1, 3, 3, 13, 7, 3, 15, 251, 431, 951, 639, 1585, 1247, 15927, 9695, 37469, 34945, 219723}},
+{17762, 18, 73216, {1, 1, 5, 3, 21, 29, 83, 151, 383, 227, 215, 2329, 1297, 13709, 15653, 3119, 111319, 222877}},
+{17763, 18, 73239, {1, 3, 1, 13, 1, 43, 127, 125, 243, 955, 583, 3497, 6605, 3821, 4657, 10599, 90927, 82725}},
+{17764, 18, 73294, {1, 1, 1, 1, 15, 51, 61, 167, 489, 603, 873, 907, 575, 6957, 24409, 63587, 50205, 159291}},
+{17765, 18, 73311, {1, 3, 3, 1, 19, 23, 7, 23, 239, 961, 1001, 1541, 2211, 4637, 19931, 39153, 102769, 242005}},
+{17766, 18, 73330, {1, 1, 1, 15, 19, 31, 73, 121, 119, 199, 979, 4061, 3903, 12055, 27957, 15999, 5709, 210329}},
+{17767, 18, 73366, {1, 1, 7, 13, 25, 35, 21, 25, 241, 937, 13, 947, 943, 3727, 15321, 46665, 99437, 233919}},
+{17768, 18, 73379, {1, 1, 1, 9, 3, 51, 127, 113, 105, 335, 685, 2173, 4329, 7569, 5617, 32407, 21649, 30609}},
+{17769, 18, 73386, {1, 3, 7, 9, 9, 13, 69, 191, 95, 727, 1649, 1201, 2093, 10053, 29381, 6207, 70755, 118505}},
+{17770, 18, 73391, {1, 1, 1, 11, 21, 57, 77, 139, 271, 21, 1747, 2337, 7761, 7753, 6847, 5219, 87033, 229105}},
+{17771, 18, 73418, {1, 3, 3, 1, 5, 51, 15, 235, 87, 567, 391, 3039, 2253, 11177, 11899, 25305, 14815, 51051}},
+{17772, 18, 73438, {1, 3, 5, 7, 27, 51, 69, 93, 261, 947, 31, 2751, 6685, 3655, 24125, 22161, 108421, 230865}},
+{17773, 18, 73476, {1, 1, 3, 3, 27, 17, 35, 97, 285, 855, 1767, 2545, 825, 11519, 11231, 50951, 32883, 78573}},
+{17774, 18, 73503, {1, 3, 7, 13, 1, 57, 99, 193, 371, 839, 1319, 2295, 5897, 7893, 14339, 64217, 16951, 234953}},
+{17775, 18, 73509, {1, 3, 1, 3, 11, 37, 13, 21, 299, 379, 63, 1209, 7879, 5001, 10181, 40173, 1753, 104821}},
+{17776, 18, 73534, {1, 3, 5, 9, 23, 51, 75, 103, 249, 533, 621, 15, 1883, 2109, 20859, 4635, 120615, 135515}},
+{17777, 18, 73545, {1, 1, 3, 3, 21, 45, 113, 57, 495, 457, 685, 3625, 243, 14831, 12351, 63001, 118191, 153875}},
+{17778, 18, 73548, {1, 3, 5, 5, 21, 15, 65, 251, 183, 241, 1513, 2711, 4527, 12675, 26747, 5181, 4237, 246479}},
+{17779, 18, 73563, {1, 1, 5, 3, 27, 29, 91, 93, 345, 893, 195, 3109, 2611, 12657, 10401, 15063, 95807, 244587}},
+{17780, 18, 73575, {1, 3, 5, 13, 19, 49, 85, 155, 159, 939, 1139, 1569, 1129, 8641, 18391, 55201, 108491, 77863}},
+{17781, 18, 73582, {1, 3, 5, 9, 25, 53, 75, 77, 85, 903, 1399, 2379, 2219, 14725, 21877, 24271, 40955, 61849}},
+{17782, 18, 73603, {1, 1, 5, 9, 13, 49, 53, 177, 163, 331, 533, 1469, 1397, 8187, 12379, 10185, 125541, 260271}},
+{17783, 18, 73609, {1, 1, 7, 9, 19, 31, 81, 89, 281, 397, 1917, 145, 2723, 15019, 18841, 13887, 11859, 171749}},
+{17784, 18, 73610, {1, 3, 7, 13, 25, 17, 87, 189, 29, 283, 913, 3855, 5707, 15881, 12787, 42357, 84579, 78531}},
+{17785, 18, 73645, {1, 1, 5, 15, 15, 31, 37, 249, 445, 119, 431, 4069, 5699, 10119, 31661, 9555, 6869, 1145}},
+{17786, 18, 73646, {1, 3, 7, 1, 31, 29, 57, 177, 341, 411, 1019, 1889, 383, 1461, 26695, 61777, 18367, 137233}},
+{17787, 18, 73678, {1, 3, 5, 1, 7, 53, 29, 53, 387, 675, 435, 461, 6247, 7519, 14003, 9037, 116599, 54471}},
+{17788, 18, 73685, {1, 3, 3, 7, 17, 59, 91, 77, 169, 591, 95, 113, 6135, 10479, 17153, 52953, 16183, 90775}},
+{17789, 18, 73708, {1, 3, 3, 15, 11, 11, 117, 141, 493, 163, 65, 1305, 7477, 7383, 22651, 64271, 80983, 154845}},
+{17790, 18, 73747, {1, 1, 1, 3, 9, 15, 83, 11, 113, 77, 1115, 1417, 511, 6825, 21013, 37241, 104695, 31335}},
+{17791, 18, 73765, {1, 1, 7, 3, 13, 33, 115, 121, 245, 673, 1991, 2157, 479, 9843, 5963, 4637, 8925, 27751}},
+{17792, 18, 73797, {1, 3, 3, 7, 19, 11, 67, 125, 339, 27, 1545, 2319, 5977, 11603, 23219, 48273, 119265, 20151}},
+{17793, 18, 73810, {1, 1, 5, 7, 27, 29, 31, 227, 279, 405, 1133, 689, 1133, 8957, 29629, 48849, 109995, 259749}},
+{17794, 18, 73819, {1, 3, 5, 7, 7, 61, 95, 243, 91, 741, 1591, 3169, 2287, 11015, 15601, 43043, 65319, 50671}},
+{17795, 18, 73825, {1, 1, 5, 5, 13, 47, 31, 95, 425, 715, 1603, 3485, 673, 12869, 32561, 42329, 112809, 181971}},
+{17796, 18, 73845, {1, 3, 3, 3, 17, 51, 109, 45, 397, 457, 1379, 3845, 4215, 14185, 16597, 27711, 74283, 98151}},
+{17797, 18, 73855, {1, 1, 1, 15, 7, 25, 13, 49, 441, 513, 1769, 707, 6037, 9689, 18915, 35647, 110823, 196633}},
+{17798, 18, 73866, {1, 1, 1, 1, 23, 53, 93, 61, 277, 125, 55, 2453, 3331, 14037, 10809, 33205, 43785, 248743}},
+{17799, 18, 73890, {1, 1, 3, 7, 23, 15, 93, 77, 333, 801, 1969, 31, 51, 5239, 24241, 5077, 113503, 132211}},
+{17800, 18, 73919, {1, 3, 3, 1, 7, 55, 53, 5, 311, 657, 1507, 3413, 565, 15745, 6129, 40285, 91811, 90527}},
+{17801, 18, 73922, {1, 3, 3, 13, 19, 23, 45, 25, 509, 313, 915, 2199, 5549, 8469, 32735, 37877, 11607, 37993}},
+{17802, 18, 73936, {1, 1, 5, 11, 25, 33, 55, 31, 311, 851, 159, 2103, 2641, 8957, 9375, 37179, 33667, 100513}},
+{17803, 18, 73939, {1, 3, 1, 1, 7, 7, 17, 75, 217, 171, 359, 1169, 4105, 929, 6427, 56349, 77985, 41941}},
+{17804, 18, 73964, {1, 1, 1, 15, 5, 51, 73, 63, 259, 351, 1797, 1001, 5025, 11203, 30221, 54345, 11331, 158415}},
+{17805, 18, 73976, {1, 3, 1, 5, 3, 21, 13, 3, 63, 779, 871, 2517, 6345, 4103, 16321, 30211, 120815, 83751}},
+{17806, 18, 73984, {1, 1, 3, 13, 11, 7, 41, 255, 215, 37, 279, 2485, 6511, 12855, 22857, 55695, 122717, 238151}},
+{17807, 18, 73990, {1, 3, 3, 3, 1, 55, 27, 193, 509, 677, 1861, 573, 5341, 5285, 6909, 51781, 91203, 139791}},
+{17808, 18, 74013, {1, 3, 7, 11, 5, 63, 87, 215, 305, 235, 1049, 1339, 5301, 9639, 29861, 58415, 68303, 76907}},
+{17809, 18, 74014, {1, 1, 5, 11, 13, 13, 67, 139, 19, 577, 165, 3067, 8023, 10905, 3159, 41289, 118231, 119673}},
+{17810, 18, 74020, {1, 1, 3, 1, 15, 5, 69, 119, 363, 703, 461, 2293, 3801, 14217, 10709, 9553, 100651, 186115}},
+{17811, 18, 74035, {1, 3, 7, 15, 19, 21, 59, 237, 227, 193, 827, 619, 3447, 13815, 3467, 38911, 41403, 99627}},
+{17812, 18, 74038, {1, 1, 3, 3, 27, 23, 41, 199, 161, 555, 1629, 3187, 1355, 5947, 1157, 25877, 110989, 231285}},
+{17813, 18, 74069, {1, 1, 3, 15, 3, 43, 103, 29, 179, 223, 375, 2877, 1917, 9367, 15337, 15381, 62833, 139003}},
+{17814, 18, 74119, {1, 3, 3, 11, 23, 33, 107, 189, 511, 209, 1519, 2809, 6185, 5921, 20939, 63879, 113687, 79149}},
+{17815, 18, 74123, {1, 3, 5, 15, 1, 63, 101, 227, 419, 803, 59, 2261, 6905, 10679, 5393, 54447, 58521, 59855}},
+{17816, 18, 74126, {1, 1, 7, 13, 13, 21, 121, 123, 181, 371, 1485, 3191, 2627, 6197, 11169, 44927, 34739, 10687}},
+{17817, 18, 74153, {1, 1, 3, 3, 25, 47, 13, 115, 187, 967, 1439, 1021, 4413, 3343, 31463, 3729, 13511, 162125}},
+{17818, 18, 74179, {1, 3, 3, 15, 15, 59, 29, 129, 469, 171, 2045, 2859, 1097, 11199, 12147, 37465, 14179, 197923}},
+{17819, 18, 74200, {1, 1, 7, 5, 13, 35, 41, 167, 207, 123, 1077, 3145, 2803, 15729, 767, 7321, 84375, 190855}},
+{17820, 18, 74210, {1, 3, 5, 11, 3, 5, 65, 3, 111, 725, 143, 2945, 4755, 3407, 31801, 15329, 70311, 119197}},
+{17821, 18, 74216, {1, 1, 5, 3, 17, 19, 61, 73, 261, 663, 821, 3389, 3883, 9961, 17727, 33113, 98371, 247097}},
+{17822, 18, 74250, {1, 3, 1, 9, 29, 17, 43, 43, 481, 1015, 1249, 607, 3495, 13259, 29001, 23083, 51487, 81723}},
+{17823, 18, 74263, {1, 3, 1, 3, 25, 57, 5, 33, 313, 21, 1731, 3417, 7033, 6609, 31631, 63231, 61107, 10941}},
+{17824, 18, 74264, {1, 3, 3, 11, 29, 29, 117, 131, 417, 789, 1545, 1677, 3213, 13869, 5319, 41387, 13895, 252387}},
+{17825, 18, 74279, {1, 3, 3, 13, 25, 47, 55, 213, 83, 345, 1453, 159, 1521, 14777, 24177, 7631, 81259, 135411}},
+{17826, 18, 74285, {1, 1, 3, 15, 11, 63, 49, 69, 273, 843, 1661, 1157, 1285, 12751, 5, 54909, 114375, 6395}},
+{17827, 18, 74294, {1, 3, 1, 11, 25, 1, 83, 55, 161, 125, 1547, 401, 7639, 4289, 7075, 9971, 33825, 135071}},
+{17828, 18, 74298, {1, 3, 7, 9, 17, 5, 79, 131, 373, 1023, 573, 2219, 1789, 5789, 5347, 26455, 58661, 206417}},
+{17829, 18, 74303, {1, 1, 7, 5, 1, 43, 83, 107, 125, 289, 793, 1731, 5167, 8943, 28397, 26877, 53781, 95899}},
+{17830, 18, 74306, {1, 3, 3, 13, 21, 53, 123, 103, 385, 753, 1917, 2075, 4385, 5757, 9221, 35797, 86743, 69069}},
+{17831, 18, 74366, {1, 3, 3, 3, 5, 19, 119, 221, 457, 907, 359, 3493, 2331, 5685, 11133, 29293, 27051, 213927}},
+{17832, 18, 74369, {1, 1, 3, 11, 11, 31, 29, 129, 429, 601, 1217, 3653, 5935, 14823, 21161, 33423, 98391, 214703}},
+{17833, 18, 74403, {1, 1, 3, 15, 31, 49, 109, 139, 349, 13, 205, 2483, 8083, 8391, 4789, 30355, 12165, 195263}},
+{17834, 18, 74406, {1, 1, 1, 9, 19, 63, 15, 167, 45, 185, 811, 529, 6811, 13441, 27195, 59047, 106675, 167125}},
+{17835, 18, 74442, {1, 1, 7, 1, 19, 19, 39, 1, 349, 467, 551, 4081, 4743, 11627, 607, 22005, 60893, 49101}},
+{17836, 18, 74450, {1, 3, 7, 9, 9, 25, 105, 119, 113, 825, 1429, 2019, 5209, 8491, 6017, 47783, 88455, 119083}},
+{17837, 18, 74452, {1, 3, 3, 13, 21, 39, 107, 119, 321, 251, 563, 311, 4441, 6491, 3157, 65479, 107349, 211621}},
+{17838, 18, 74459, {1, 1, 7, 13, 9, 3, 17, 117, 327, 459, 489, 7, 6883, 10047, 31935, 28069, 37903, 188281}},
+{17839, 18, 74461, {1, 1, 7, 1, 15, 53, 47, 127, 483, 595, 811, 1143, 4543, 10043, 30349, 24409, 91947, 240165}},
+{17840, 18, 74477, {1, 1, 1, 13, 25, 43, 109, 161, 147, 1009, 1071, 1533, 2781, 13439, 20507, 41387, 26943, 84675}},
+{17841, 18, 74478, {1, 3, 5, 13, 19, 21, 23, 167, 135, 257, 587, 2691, 5877, 3047, 11745, 24895, 114799, 48003}},
+{17842, 18, 74489, {1, 3, 1, 1, 9, 57, 33, 51, 137, 109, 137, 195, 1233, 11139, 16833, 27545, 35877, 126627}},
+{17843, 18, 74504, {1, 1, 1, 15, 5, 37, 7, 19, 363, 411, 1193, 767, 6209, 9115, 14699, 55515, 46023, 90693}},
+{17844, 18, 74528, {1, 3, 5, 3, 19, 55, 85, 117, 391, 757, 861, 3537, 6507, 6993, 19589, 6843, 33557, 64683}},
+{17845, 18, 74533, {1, 1, 7, 5, 5, 61, 99, 9, 311, 595, 807, 429, 63, 12359, 28289, 709, 129911, 143745}},
+{17846, 18, 74538, {1, 1, 1, 7, 17, 9, 9, 117, 19, 985, 657, 2803, 2699, 829, 31069, 13277, 106769, 109231}},
+{17847, 18, 74551, {1, 1, 5, 13, 25, 19, 63, 217, 419, 221, 1921, 215, 2631, 4659, 29855, 46549, 62257, 260113}},
+{17848, 18, 74580, {1, 3, 3, 9, 13, 45, 63, 129, 147, 489, 879, 3025, 6777, 1119, 20963, 30553, 20863, 169837}},
+{17849, 18, 74589, {1, 3, 5, 9, 25, 61, 79, 51, 495, 583, 1519, 1501, 123, 13871, 32239, 957, 31921, 255561}},
+{17850, 18, 74590, {1, 3, 7, 3, 31, 61, 89, 65, 305, 429, 785, 3871, 7711, 2745, 24131, 43055, 51167, 87743}},
+{17851, 18, 74593, {1, 3, 1, 11, 19, 23, 89, 117, 185, 121, 109, 1327, 6553, 14367, 16069, 28657, 81751, 10185}},
+{17852, 18, 74608, {1, 3, 5, 5, 17, 33, 115, 61, 101, 367, 1465, 3899, 6601, 4483, 2447, 49575, 129987, 11703}},
+{17853, 18, 74611, {1, 1, 3, 13, 13, 59, 79, 83, 253, 171, 53, 2467, 5005, 1045, 943, 62419, 98563, 78935}},
+{17854, 18, 74617, {1, 1, 7, 15, 31, 17, 77, 73, 249, 247, 119, 1655, 7079, 14593, 105, 55767, 130401, 74189}},
+{17855, 18, 74623, {1, 3, 5, 11, 19, 29, 79, 251, 75, 949, 527, 2779, 5839, 11451, 24125, 45991, 127437, 86541}},
+{17856, 18, 74648, {1, 1, 5, 7, 1, 29, 127, 27, 477, 807, 829, 1569, 205, 13319, 16149, 26003, 38985, 188587}},
+{17857, 18, 74704, {1, 1, 1, 3, 19, 29, 39, 71, 17, 51, 1169, 467, 7505, 1867, 4469, 32161, 43031, 31675}},
+{17858, 18, 74735, {1, 1, 1, 15, 27, 45, 67, 107, 127, 469, 1955, 1933, 2379, 8513, 32071, 35043, 126537, 23303}},
+{17859, 18, 74737, {1, 3, 7, 9, 23, 41, 23, 197, 97, 213, 17, 1751, 5467, 6179, 29291, 33397, 42131, 151093}},
+{17860, 18, 74738, {1, 3, 7, 15, 27, 3, 39, 87, 365, 77, 487, 293, 6405, 2239, 30455, 44723, 12399, 100013}},
+{17861, 18, 74779, {1, 3, 5, 9, 29, 21, 55, 183, 343, 263, 1643, 2027, 2255, 6259, 18277, 64661, 39391, 255839}},
+{17862, 18, 74781, {1, 1, 7, 11, 21, 55, 11, 139, 261, 11, 1721, 3779, 85, 8203, 12089, 50579, 128341, 119043}},
+{17863, 18, 74809, {1, 3, 5, 13, 27, 53, 109, 1, 313, 661, 431, 1543, 1571, 7337, 18857, 49951, 7881, 228161}},
+{17864, 18, 74812, {1, 1, 7, 5, 5, 31, 27, 149, 239, 199, 1011, 1979, 5297, 14609, 26971, 65531, 64215, 115109}},
+{17865, 18, 74827, {1, 1, 5, 13, 15, 11, 63, 225, 165, 405, 1367, 2291, 5171, 12419, 19561, 37719, 621, 137607}},
+{17866, 18, 74868, {1, 3, 1, 15, 25, 1, 125, 243, 97, 455, 1977, 3333, 801, 1343, 993, 18453, 19285, 71547}},
+{17867, 18, 74871, {1, 1, 5, 11, 9, 51, 109, 135, 73, 147, 649, 4071, 7425, 3093, 26417, 51139, 1523, 142225}},
+{17868, 18, 74905, {1, 3, 7, 11, 1, 39, 109, 119, 337, 715, 1087, 4005, 1393, 6397, 31135, 38935, 106255, 60723}},
+{17869, 18, 74930, {1, 1, 1, 9, 9, 11, 45, 11, 171, 671, 965, 109, 2261, 13775, 8539, 63669, 10507, 249113}},
+{17870, 18, 74962, {1, 3, 1, 15, 21, 33, 127, 173, 419, 31, 299, 857, 4915, 11331, 29385, 47375, 111891, 14505}},
+{17871, 18, 74990, {1, 3, 5, 13, 7, 43, 85, 183, 377, 275, 803, 1755, 8005, 15327, 31043, 18851, 122581, 229731}},
+{17872, 18, 74995, {1, 3, 5, 1, 27, 9, 41, 73, 283, 475, 671, 747, 1419, 15209, 25465, 60061, 91417, 103203}},
+{17873, 18, 75007, {1, 3, 1, 15, 15, 43, 13, 45, 217, 519, 363, 3265, 6213, 13045, 3709, 22119, 79733, 224195}},
+{17874, 18, 75012, {1, 3, 1, 15, 15, 59, 95, 71, 171, 769, 1395, 2673, 4523, 749, 13411, 60431, 124651, 11475}},
+{17875, 18, 75030, {1, 1, 7, 3, 1, 35, 13, 239, 101, 355, 1201, 3665, 5403, 11413, 11983, 52469, 63621, 155819}},
+{17876, 18, 75033, {1, 1, 1, 7, 31, 59, 87, 25, 511, 483, 569, 3337, 4027, 8347, 3031, 24351, 57963, 79425}},
+{17877, 18, 75039, {1, 3, 1, 3, 11, 17, 29, 249, 61, 923, 585, 2107, 2727, 8589, 22809, 3, 17937, 163267}},
+{17878, 18, 75055, {1, 3, 5, 11, 27, 3, 73, 187, 19, 975, 257, 2361, 935, 9071, 29991, 13619, 92169, 101031}},
+{17879, 18, 75078, {1, 1, 5, 13, 17, 53, 105, 157, 343, 673, 237, 3231, 7311, 1593, 18521, 57889, 79805, 97847}},
+{17880, 18, 75120, {1, 3, 1, 3, 31, 55, 63, 167, 489, 167, 121, 3333, 2475, 1545, 13291, 921, 101757, 62147}},
+{17881, 18, 75130, {1, 3, 3, 15, 13, 17, 9, 209, 339, 567, 2011, 1737, 1455, 9289, 6105, 49733, 74237, 93195}},
+{17882, 18, 75159, {1, 1, 7, 11, 3, 13, 77, 115, 305, 327, 1005, 3381, 4269, 4835, 27221, 16301, 75173, 244603}},
+{17883, 18, 75163, {1, 3, 5, 7, 7, 31, 47, 75, 499, 41, 281, 167, 3525, 8649, 23623, 4987, 2057, 204083}},
+{17884, 18, 75170, {1, 3, 3, 5, 9, 5, 35, 53, 269, 437, 1035, 1675, 4567, 13291, 19787, 28937, 108915, 62545}},
+{17885, 18, 75193, {1, 3, 1, 5, 15, 59, 57, 181, 321, 1, 791, 2149, 591, 6691, 8759, 62861, 10815, 257331}},
+{17886, 18, 75228, {1, 1, 7, 1, 21, 25, 93, 39, 429, 455, 669, 1725, 7087, 11805, 22405, 13083, 88411, 225967}},
+{17887, 18, 75244, {1, 1, 5, 15, 5, 45, 15, 1, 55, 281, 2027, 97, 2639, 57, 23717, 21669, 92181, 32731}},
+{17888, 18, 75249, {1, 3, 7, 3, 7, 3, 67, 201, 445, 577, 1011, 793, 7763, 10823, 30309, 41565, 37263, 218909}},
+{17889, 18, 75328, {1, 1, 7, 3, 17, 53, 51, 119, 399, 903, 1785, 1053, 4315, 2967, 17579, 64185, 55005, 12969}},
+{17890, 18, 75357, {1, 3, 3, 13, 21, 63, 13, 1, 427, 39, 71, 1811, 1237, 1623, 11401, 14371, 44355, 93089}},
+{17891, 18, 75373, {1, 1, 5, 1, 17, 39, 39, 105, 187, 691, 251, 3957, 931, 12149, 18299, 48819, 23061, 49179}},
+{17892, 18, 75392, {1, 1, 5, 11, 31, 3, 23, 211, 101, 763, 237, 3635, 417, 4935, 14997, 3859, 22343, 153541}},
+{17893, 18, 75428, {1, 3, 7, 5, 21, 37, 59, 137, 13, 179, 527, 895, 3451, 1743, 3149, 10665, 119427, 259343}},
+{17894, 18, 75438, {1, 3, 5, 3, 7, 37, 103, 173, 453, 327, 131, 2453, 7795, 12585, 13947, 59161, 41845, 29527}},
+{17895, 18, 75469, {1, 3, 3, 1, 17, 49, 57, 251, 295, 279, 1545, 3963, 589, 9211, 32371, 14963, 116927, 197321}},
+{17896, 18, 75487, {1, 1, 3, 7, 17, 59, 37, 115, 315, 591, 481, 767, 4611, 14741, 6949, 19507, 6567, 143371}},
+{17897, 18, 75494, {1, 1, 5, 3, 19, 53, 121, 229, 355, 909, 339, 1645, 2747, 7045, 9085, 5799, 50997, 17981}},
+{17898, 18, 75515, {1, 3, 3, 9, 3, 1, 109, 7, 15, 177, 789, 3911, 6427, 8453, 22583, 12039, 124587, 123887}},
+{17899, 18, 75526, {1, 1, 5, 1, 7, 23, 15, 193, 109, 685, 1147, 3921, 2329, 15153, 25045, 28389, 34759, 256611}},
+{17900, 18, 75532, {1, 1, 3, 3, 23, 27, 55, 43, 485, 541, 1617, 3761, 1051, 7525, 19941, 52699, 35421, 162939}},
+{17901, 18, 75543, {1, 3, 7, 1, 25, 9, 113, 251, 477, 1005, 9, 3321, 5817, 965, 18523, 29407, 53353, 205575}},
+{17902, 18, 75549, {1, 1, 7, 11, 9, 31, 111, 175, 227, 33, 1745, 1141, 1547, 2113, 8785, 40273, 100301, 190749}},
+{17903, 18, 75559, {1, 1, 5, 11, 19, 49, 45, 197, 457, 223, 91, 2769, 6331, 1161, 6609, 61905, 42257, 152117}},
+{17904, 18, 75563, {1, 1, 7, 11, 1, 17, 37, 153, 431, 933, 269, 1529, 1297, 15567, 149, 41701, 59867, 93631}},
+{17905, 18, 75568, {1, 1, 5, 9, 25, 33, 83, 127, 305, 667, 343, 185, 3527, 13079, 10567, 35753, 72191, 214091}},
+{17906, 18, 75598, {1, 3, 7, 1, 1, 7, 75, 241, 185, 81, 2043, 3081, 3563, 385, 3055, 59421, 27081, 32521}},
+{17907, 18, 75612, {1, 1, 3, 5, 31, 1, 101, 21, 69, 979, 917, 695, 5601, 12251, 15031, 18715, 116985, 53071}},
+{17908, 18, 75622, {1, 1, 3, 9, 23, 57, 91, 127, 327, 979, 721, 3855, 1131, 997, 32227, 33843, 128299, 15239}},
+{17909, 18, 75640, {1, 3, 7, 13, 23, 1, 87, 105, 259, 939, 1935, 1983, 6619, 1611, 31901, 14745, 96641, 211945}},
+{17910, 18, 75683, {1, 1, 3, 5, 25, 17, 39, 95, 137, 971, 377, 2493, 981, 329, 25845, 44513, 100561, 57985}},
+{17911, 18, 75689, {1, 1, 3, 9, 27, 37, 69, 103, 167, 131, 487, 2935, 7099, 15375, 4825, 12209, 117165, 84909}},
+{17912, 18, 75690, {1, 3, 1, 15, 27, 19, 115, 239, 247, 243, 83, 1535, 8095, 3953, 25721, 62983, 89045, 16783}},
+{17913, 18, 75692, {1, 1, 5, 1, 19, 13, 125, 39, 439, 411, 171, 155, 5117, 15137, 19851, 251, 37921, 97209}},
+{17914, 18, 75752, {1, 1, 1, 5, 13, 41, 17, 97, 215, 323, 1333, 775, 1155, 15269, 19943, 48489, 71741, 202501}},
+{17915, 18, 75766, {1, 3, 5, 3, 1, 31, 55, 125, 69, 437, 1649, 2791, 8027, 15509, 31575, 8491, 106953, 155215}},
+{17916, 18, 75769, {1, 3, 3, 13, 19, 45, 39, 63, 227, 67, 2021, 1243, 6525, 7211, 6275, 39719, 74513, 6713}},
+{17917, 18, 75791, {1, 1, 5, 11, 13, 45, 15, 101, 171, 613, 1561, 2939, 3849, 2917, 29765, 2027, 53617, 59939}},
+{17918, 18, 75794, {1, 1, 5, 9, 27, 21, 119, 19, 441, 759, 703, 2985, 3007, 2087, 5207, 64403, 20273, 66181}},
+{17919, 18, 75806, {1, 1, 7, 13, 21, 3, 49, 3, 485, 883, 1863, 1925, 877, 10009, 24191, 58639, 107755, 106539}},
+{17920, 18, 75809, {1, 1, 1, 5, 27, 37, 23, 185, 281, 533, 437, 555, 8151, 6489, 22343, 4573, 91577, 167919}},
+{17921, 18, 75819, {1, 1, 7, 15, 3, 61, 103, 221, 223, 703, 133, 2923, 1027, 14643, 26413, 16523, 107223, 97185}},
+{17922, 18, 75834, {1, 3, 1, 11, 13, 15, 1, 203, 363, 675, 511, 3225, 1163, 741, 16063, 8097, 95905, 148465}},
+{17923, 18, 75895, {1, 3, 1, 7, 11, 11, 11, 243, 371, 129, 209, 3533, 1279, 12181, 31973, 29165, 122089, 115117}},
+{17924, 18, 75908, {1, 3, 1, 5, 25, 17, 31, 45, 215, 809, 1443, 3245, 1005, 2903, 20783, 23041, 96577, 192063}},
+{17925, 18, 75951, {1, 3, 3, 3, 19, 17, 101, 219, 91, 805, 189, 761, 4771, 11629, 7285, 21631, 21691, 47421}},
+{17926, 18, 75960, {1, 3, 7, 1, 31, 11, 71, 149, 303, 793, 35, 3109, 2769, 11593, 31839, 2053, 4541, 202997}},
+{17927, 18, 75965, {1, 1, 1, 3, 11, 19, 113, 249, 141, 659, 1117, 2145, 2617, 1075, 25347, 12913, 27457, 222095}},
+{17928, 18, 75974, {1, 3, 1, 3, 5, 23, 41, 57, 193, 815, 1293, 1109, 7597, 999, 10773, 41065, 18555, 35617}},
+{17929, 18, 75978, {1, 1, 3, 1, 31, 11, 127, 99, 163, 293, 299, 3415, 3761, 8781, 5327, 47631, 56411, 242787}},
+{17930, 18, 75998, {1, 3, 7, 13, 3, 41, 23, 169, 419, 725, 1419, 2643, 5265, 77, 24077, 18639, 78665, 205303}},
+{17931, 18, 76001, {1, 1, 5, 1, 31, 39, 39, 205, 413, 393, 1713, 309, 707, 4153, 10461, 16053, 26963, 253993}},
+{17932, 18, 76007, {1, 3, 7, 5, 23, 37, 125, 87, 199, 631, 1935, 551, 7047, 4585, 21257, 42345, 39365, 249393}},
+{17933, 18, 76016, {1, 3, 5, 13, 17, 55, 29, 209, 151, 465, 155, 363, 3097, 4093, 9869, 23297, 33973, 115543}},
+{17934, 18, 76091, {1, 1, 1, 13, 23, 59, 83, 71, 145, 717, 127, 1299, 1701, 10885, 5343, 40793, 87819, 66621}},
+{17935, 18, 76119, {1, 3, 3, 9, 19, 37, 23, 11, 269, 603, 871, 851, 837, 15303, 7595, 56481, 57819, 185065}},
+{17936, 18, 76135, {1, 3, 1, 1, 3, 15, 11, 249, 413, 723, 1403, 3233, 2747, 10335, 7127, 63285, 29237, 191953}},
+{17937, 18, 76170, {1, 3, 1, 1, 11, 31, 67, 139, 51, 413, 521, 969, 171, 5943, 31613, 16477, 85771, 202139}},
+{17938, 18, 76189, {1, 3, 7, 5, 5, 21, 109, 25, 463, 873, 493, 2673, 6409, 11199, 17195, 40623, 76821, 72509}},
+{17939, 18, 76214, {1, 1, 7, 7, 11, 1, 95, 43, 243, 67, 1289, 3219, 2255, 4957, 17561, 40499, 48537, 108809}},
+{17940, 18, 76225, {1, 1, 7, 15, 3, 39, 45, 75, 43, 821, 533, 4043, 1503, 83, 26937, 56327, 114149, 156845}},
+{17941, 18, 76235, {1, 3, 1, 1, 31, 21, 59, 1, 77, 147, 137, 1827, 4123, 2791, 27859, 57921, 40569, 134753}},
+{17942, 18, 76259, {1, 1, 5, 13, 31, 41, 111, 11, 181, 963, 459, 2771, 6123, 4035, 1627, 2047, 109537, 33653}},
+{17943, 18, 76261, {1, 3, 5, 7, 31, 57, 17, 21, 5, 761, 1833, 1279, 1239, 10089, 22531, 32547, 82699, 28389}},
+{17944, 18, 76262, {1, 3, 5, 13, 11, 39, 11, 61, 299, 753, 1067, 1347, 5189, 12859, 681, 46309, 31873, 90333}},
+{17945, 18, 76266, {1, 3, 1, 5, 13, 27, 119, 205, 377, 457, 817, 3017, 279, 1859, 30241, 52089, 61445, 176203}},
+{17946, 18, 76286, {1, 1, 3, 5, 11, 35, 17, 163, 27, 1001, 417, 2899, 1959, 5513, 1441, 19743, 67147, 236591}},
+{17947, 18, 76289, {1, 3, 5, 13, 15, 39, 53, 179, 447, 675, 933, 1261, 4415, 9845, 28459, 33497, 107375, 156855}},
+{17948, 18, 76310, {1, 3, 3, 13, 27, 31, 11, 191, 413, 1011, 2035, 3965, 2071, 5429, 16247, 7439, 15079, 225041}},
+{17949, 18, 76319, {1, 3, 3, 11, 7, 23, 87, 215, 241, 687, 1351, 2399, 4677, 12967, 22957, 10443, 116701, 155477}},
+{17950, 18, 76364, {1, 3, 7, 5, 25, 55, 5, 197, 359, 879, 619, 1969, 1513, 12743, 10953, 28343, 63685, 39115}},
+{17951, 18, 76375, {1, 1, 3, 1, 19, 15, 63, 7, 305, 343, 1333, 3845, 377, 14031, 28383, 4271, 60063, 11827}},
+{17952, 18, 76392, {1, 3, 5, 15, 25, 21, 115, 101, 171, 735, 787, 3143, 593, 8793, 4121, 15471, 53491, 20617}},
+{17953, 18, 76422, {1, 1, 5, 15, 15, 51, 103, 17, 433, 611, 1351, 1729, 6147, 11623, 3, 6319, 6133, 19029}},
+{17954, 18, 76450, {1, 3, 1, 13, 29, 15, 115, 97, 505, 985, 745, 745, 1459, 7193, 1247, 58901, 114255, 212849}},
+{17955, 18, 76496, {1, 1, 7, 1, 1, 53, 99, 35, 377, 723, 1751, 2625, 5113, 13295, 20133, 26831, 41657, 51717}},
+{17956, 18, 76521, {1, 3, 5, 15, 15, 39, 17, 227, 351, 435, 49, 203, 6959, 11673, 15755, 29733, 51445, 64619}},
+{17957, 18, 76522, {1, 1, 1, 3, 25, 51, 57, 137, 415, 49, 355, 2149, 7607, 10781, 30363, 43889, 55543, 36637}},
+{17958, 18, 76527, {1, 1, 7, 5, 5, 15, 73, 189, 153, 949, 527, 587, 513, 12891, 16765, 41477, 75569, 80747}},
+{17959, 18, 76536, {1, 1, 5, 5, 9, 5, 3, 225, 115, 125, 821, 3551, 4833, 927, 24331, 63669, 26549, 220159}},
+{17960, 18, 76541, {1, 1, 3, 9, 21, 7, 9, 183, 391, 783, 493, 2785, 3879, 8311, 9935, 60629, 119329, 5791}},
+{17961, 18, 76553, {1, 1, 5, 15, 15, 41, 61, 97, 33, 29, 199, 3335, 1531, 6107, 757, 33797, 3001, 224507}},
+{17962, 18, 76568, {1, 1, 3, 9, 13, 39, 25, 247, 407, 1, 1129, 1453, 7091, 5557, 8657, 33961, 100763, 25099}},
+{17963, 18, 76574, {1, 3, 3, 13, 31, 21, 69, 73, 431, 827, 861, 235, 2369, 4283, 27183, 29095, 99957, 97577}},
+{17964, 18, 76584, {1, 1, 7, 13, 1, 25, 21, 173, 365, 921, 21, 3527, 2481, 8795, 25621, 41755, 127249, 221385}},
+{17965, 18, 76604, {1, 1, 1, 5, 25, 25, 65, 203, 305, 373, 527, 4033, 3483, 9403, 28669, 32083, 52273, 77037}},
+{17966, 18, 76607, {1, 3, 1, 15, 9, 23, 19, 7, 29, 83, 1163, 1147, 5315, 2381, 21203, 33915, 109511, 40669}},
+{17967, 18, 76609, {1, 3, 7, 15, 23, 19, 69, 127, 113, 937, 935, 1067, 2431, 7677, 21327, 44095, 82799, 5715}},
+{17968, 18, 76669, {1, 1, 5, 5, 7, 37, 107, 223, 433, 515, 393, 1721, 1977, 6383, 18835, 54841, 103263, 196997}},
+{17969, 18, 76683, {1, 1, 1, 3, 1, 11, 85, 173, 259, 685, 595, 1635, 6979, 4483, 8097, 42249, 56259, 105925}},
+{17970, 18, 76745, {1, 1, 7, 7, 1, 23, 11, 253, 187, 665, 313, 3745, 2423, 15835, 32085, 48643, 75625, 47511}},
+{17971, 18, 76753, {1, 1, 3, 5, 1, 59, 127, 83, 501, 387, 977, 3515, 7921, 12329, 14757, 20287, 49699, 91237}},
+{17972, 18, 76754, {1, 3, 5, 11, 31, 45, 51, 109, 319, 621, 1013, 3519, 4023, 12099, 28829, 26691, 83131, 261497}},
+{17973, 18, 76756, {1, 1, 3, 3, 5, 35, 51, 253, 253, 569, 1017, 2299, 8159, 13783, 22123, 55213, 111527, 110699}},
+{17974, 18, 76760, {1, 3, 7, 3, 9, 5, 59, 129, 41, 845, 723, 1607, 3047, 14323, 19277, 39447, 12465, 45925}},
+{17975, 18, 76782, {1, 1, 3, 1, 17, 35, 51, 79, 115, 361, 739, 2037, 6167, 14699, 28187, 65271, 67285, 48489}},
+{17976, 18, 76821, {1, 3, 1, 11, 1, 29, 95, 181, 419, 235, 745, 621, 3889, 2933, 743, 23801, 32057, 54103}},
+{17977, 18, 76828, {1, 3, 1, 11, 17, 47, 43, 55, 7, 695, 1653, 3983, 961, 3037, 8669, 10039, 86571, 6981}},
+{17978, 18, 76849, {1, 1, 5, 15, 13, 19, 67, 141, 291, 511, 1913, 397, 7423, 6541, 21845, 49821, 126047, 218587}},
+{17979, 18, 76850, {1, 1, 5, 3, 11, 13, 103, 213, 189, 115, 1495, 2695, 2127, 11979, 13609, 46615, 64775, 206417}},
+{17980, 18, 76870, {1, 3, 1, 5, 5, 9, 57, 207, 253, 251, 1155, 1319, 6699, 6613, 21757, 49703, 124879, 89987}},
+{17981, 18, 76874, {1, 3, 5, 7, 23, 25, 35, 81, 165, 789, 771, 415, 5557, 8431, 12043, 44359, 9447, 229481}},
+{17982, 18, 76898, {1, 1, 1, 13, 17, 21, 63, 251, 387, 767, 85, 3901, 3227, 10329, 5049, 56173, 58065, 78595}},
+{17983, 18, 76903, {1, 3, 1, 15, 23, 5, 45, 7, 123, 389, 1041, 1223, 5865, 5365, 2915, 24861, 106893, 170769}},
+{17984, 18, 76910, {1, 3, 7, 15, 27, 61, 27, 59, 309, 103, 279, 1829, 1501, 11277, 4461, 34817, 60973, 99805}},
+{17985, 18, 76921, {1, 1, 3, 9, 1, 25, 57, 85, 411, 699, 911, 1643, 2687, 13539, 10187, 21597, 18883, 212975}},
+{17986, 18, 76968, {1, 1, 3, 7, 5, 7, 81, 209, 225, 321, 1867, 2189, 6315, 5393, 8859, 47471, 41677, 222455}},
+{17987, 18, 77013, {1, 1, 5, 11, 27, 33, 119, 159, 273, 659, 883, 3773, 6519, 15449, 17219, 23923, 33749, 225489}},
+{17988, 18, 77027, {1, 1, 7, 13, 29, 39, 1, 161, 165, 531, 1019, 2369, 2093, 4341, 24945, 28537, 49467, 258065}},
+{17989, 18, 77042, {1, 3, 3, 3, 15, 59, 23, 143, 377, 943, 1329, 977, 7025, 2167, 17973, 65087, 115757, 75959}},
+{17990, 18, 77059, {1, 1, 1, 15, 17, 55, 33, 167, 43, 719, 51, 3873, 3317, 10763, 639, 58195, 20023, 100725}},
+{17991, 18, 77062, {1, 1, 7, 5, 17, 23, 71, 249, 23, 929, 467, 3073, 3355, 1343, 18755, 12247, 49737, 184103}},
+{17992, 18, 77074, {1, 3, 3, 15, 1, 9, 17, 193, 157, 265, 983, 1825, 4805, 2131, 22117, 32937, 57, 261867}},
+{17993, 18, 77076, {1, 3, 5, 9, 5, 1, 101, 141, 511, 489, 73, 1789, 1303, 2633, 709, 11891, 44897, 191229}},
+{17994, 18, 77110, {1, 1, 7, 15, 1, 27, 121, 7, 129, 421, 725, 1421, 3883, 13335, 7247, 8393, 85029, 127691}},
+{17995, 18, 77113, {1, 1, 3, 9, 19, 53, 121, 115, 85, 909, 1535, 3261, 7063, 16381, 1719, 19847, 19041, 215433}},
+{17996, 18, 77131, {1, 1, 7, 3, 17, 45, 91, 187, 181, 829, 609, 931, 5727, 3971, 14567, 15871, 9825, 184165}},
+{17997, 18, 77157, {1, 1, 1, 3, 5, 29, 7, 249, 361, 815, 1101, 1485, 6879, 5379, 7179, 27467, 101427, 196089}},
+{17998, 18, 77158, {1, 1, 5, 7, 23, 11, 27, 175, 237, 747, 1911, 3107, 961, 6649, 29887, 11003, 27561, 233841}},
+{17999, 18, 77216, {1, 1, 1, 5, 11, 5, 125, 227, 303, 315, 1879, 817, 7445, 1447, 9333, 54825, 118865, 216397}},
+{18000, 18, 77246, {1, 1, 3, 13, 17, 33, 27, 95, 245, 25, 1741, 2633, 1869, 14111, 24507, 61287, 46397, 220803}},
+{18001, 18, 77258, {1, 1, 7, 7, 25, 5, 41, 101, 171, 333, 497, 3417, 4921, 4553, 25487, 51529, 72873, 43525}},
+{18002, 18, 77281, {1, 1, 7, 7, 9, 19, 25, 161, 235, 929, 1663, 3237, 323, 3889, 31423, 2345, 63113, 212659}},
+{18003, 18, 77284, {1, 1, 5, 13, 29, 59, 39, 25, 393, 519, 429, 1461, 5867, 113, 28091, 36813, 47827, 163407}},
+{18004, 18, 77294, {1, 3, 5, 13, 15, 49, 85, 161, 83, 389, 765, 3349, 4659, 11007, 24749, 51121, 93511, 229885}},
+{18005, 18, 77302, {1, 3, 5, 11, 5, 27, 107, 233, 221, 425, 941, 1181, 5403, 4373, 32625, 41991, 2019, 245967}},
+{18006, 18, 77306, {1, 3, 5, 9, 9, 53, 97, 27, 221, 731, 1301, 3517, 4407, 11369, 4251, 31121, 4813, 42029}},
+{18007, 18, 77315, {1, 1, 1, 9, 17, 59, 107, 247, 231, 123, 1177, 3299, 6163, 4855, 14547, 63171, 45201, 27711}},
+{18008, 18, 77352, {1, 3, 7, 3, 25, 31, 63, 37, 123, 457, 1531, 3723, 4807, 14665, 17973, 42547, 5417, 170323}},
+{18009, 18, 77360, {1, 3, 7, 3, 17, 19, 57, 7, 359, 741, 385, 3127, 855, 10803, 30093, 24501, 53629, 40447}},
+{18010, 18, 77365, {1, 3, 7, 15, 11, 45, 49, 125, 445, 795, 113, 2425, 7085, 7337, 16297, 26447, 94369, 12371}},
+{18011, 18, 77370, {1, 3, 7, 9, 29, 59, 35, 191, 123, 619, 415, 1081, 2469, 4125, 25587, 7853, 119781, 9447}},
+{18012, 18, 77378, {1, 3, 1, 15, 13, 13, 111, 89, 381, 757, 389, 253, 6929, 33, 8263, 17385, 122129, 146679}},
+{18013, 18, 77380, {1, 1, 3, 3, 15, 35, 101, 95, 479, 577, 1645, 3781, 7533, 4665, 6561, 49897, 72413, 151383}},
+{18014, 18, 77407, {1, 1, 1, 1, 7, 49, 23, 223, 189, 763, 227, 2805, 8093, 389, 11525, 30915, 91341, 210231}},
+{18015, 18, 77408, {1, 1, 7, 3, 19, 23, 3, 137, 79, 569, 1833, 2091, 4235, 10739, 22855, 33845, 120141, 220267}},
+{18016, 18, 77414, {1, 3, 7, 3, 11, 43, 85, 63, 419, 681, 365, 3017, 3603, 6413, 13515, 16003, 107949, 241261}},
+{18017, 18, 77444, {1, 1, 5, 13, 3, 35, 41, 193, 189, 999, 1395, 2431, 2227, 7245, 23929, 16137, 14591, 54999}},
+{18018, 18, 77454, {1, 1, 7, 15, 23, 51, 47, 77, 31, 25, 589, 611, 371, 13329, 5873, 2133, 40351, 145293}},
+{18019, 18, 77481, {1, 1, 7, 15, 17, 19, 53, 155, 309, 573, 1059, 3557, 2445, 12205, 4497, 32061, 130293, 73859}},
+{18020, 18, 77482, {1, 1, 7, 13, 3, 25, 71, 157, 237, 185, 1035, 1759, 1331, 13533, 25635, 811, 54391, 91109}},
+{18021, 18, 77531, {1, 1, 1, 11, 5, 21, 99, 31, 259, 413, 2033, 2187, 755, 4591, 28641, 64031, 88499, 160789}},
+{18022, 18, 77544, {1, 3, 7, 13, 29, 33, 13, 157, 97, 981, 329, 81, 6351, 4171, 10925, 22733, 72521, 105477}},
+{18023, 18, 77552, {1, 3, 7, 9, 11, 31, 97, 35, 337, 309, 847, 3429, 2697, 3141, 19481, 43679, 11129, 205757}},
+{18024, 18, 77569, {1, 3, 1, 7, 27, 45, 123, 193, 439, 639, 633, 1375, 7307, 1599, 23379, 56811, 100877, 228687}},
+{18025, 18, 77579, {1, 3, 7, 1, 29, 43, 103, 131, 103, 933, 143, 2431, 2221, 4565, 20841, 58611, 49163, 13673}},
+{18026, 18, 77610, {1, 3, 5, 13, 25, 17, 121, 17, 455, 941, 1577, 509, 5401, 797, 29573, 38373, 50527, 17951}},
+{18027, 18, 77612, {1, 1, 1, 13, 25, 21, 77, 253, 199, 871, 935, 3919, 1687, 6653, 20345, 56969, 77989, 244767}},
+{18028, 18, 77623, {1, 1, 3, 1, 17, 5, 5, 191, 279, 33, 579, 651, 969, 6091, 11659, 1643, 17935, 85145}},
+{18029, 18, 77649, {1, 3, 3, 9, 29, 1, 103, 39, 83, 295, 1237, 207, 4837, 7899, 27879, 23195, 29549, 206885}},
+{18030, 18, 77650, {1, 3, 5, 1, 9, 55, 115, 37, 225, 447, 943, 1133, 6203, 949, 9973, 4309, 43969, 166795}},
+{18031, 18, 77661, {1, 1, 7, 7, 17, 43, 75, 251, 35, 489, 1011, 355, 4113, 2377, 13775, 34935, 84905, 252973}},
+{18032, 18, 77675, {1, 3, 3, 3, 11, 45, 3, 1, 135, 499, 81, 3265, 6657, 3875, 27565, 60931, 13117, 87931}},
+{18033, 18, 77686, {1, 1, 3, 1, 9, 1, 77, 69, 137, 241, 1613, 2607, 3307, 171, 13551, 54529, 45937, 180411}},
+{18034, 18, 77742, {1, 1, 1, 1, 19, 29, 77, 255, 95, 461, 567, 1103, 2753, 10627, 19479, 43411, 128565, 29869}},
+{18035, 18, 77791, {1, 1, 3, 5, 5, 63, 123, 159, 165, 733, 1107, 1711, 5039, 9221, 15541, 5527, 27629, 206505}},
+{18036, 18, 77792, {1, 3, 1, 3, 7, 45, 73, 63, 413, 693, 433, 2281, 3981, 7719, 31473, 56939, 70391, 67467}},
+{18037, 18, 77807, {1, 1, 1, 11, 19, 33, 113, 151, 427, 603, 1653, 2451, 5367, 12171, 14373, 33175, 62013, 209273}},
+{18038, 18, 77815, {1, 3, 5, 5, 17, 37, 109, 5, 187, 293, 617, 2663, 7381, 14217, 23561, 48999, 108717, 248289}},
+{18039, 18, 77842, {1, 1, 5, 1, 9, 27, 35, 127, 355, 479, 281, 2081, 7303, 259, 8893, 59141, 20927, 61611}},
+{18040, 18, 77847, {1, 3, 3, 15, 31, 33, 71, 209, 315, 363, 593, 1035, 8029, 12501, 2859, 54745, 39391, 153259}},
+{18041, 18, 77899, {1, 3, 3, 11, 21, 39, 35, 173, 171, 15, 987, 3737, 7415, 1827, 973, 6831, 108643, 241333}},
+{18042, 18, 77901, {1, 3, 7, 9, 17, 37, 127, 243, 153, 195, 113, 309, 5301, 13619, 7927, 35385, 9501, 99241}},
+{18043, 18, 77904, {1, 3, 5, 13, 23, 9, 81, 235, 139, 635, 443, 2235, 2613, 2389, 18431, 8409, 2885, 254811}},
+{18044, 18, 77914, {1, 3, 7, 9, 1, 5, 15, 109, 141, 173, 1059, 1961, 7945, 10381, 17337, 19591, 42173, 119831}},
+{18045, 18, 77925, {1, 3, 1, 13, 19, 7, 111, 111, 345, 327, 1147, 2293, 49, 16213, 25309, 60537, 50421, 108467}},
+{18046, 18, 77950, {1, 1, 5, 1, 3, 23, 63, 219, 69, 879, 1397, 3857, 1859, 1939, 4851, 26549, 86019, 7927}},
+{18047, 18, 77959, {1, 3, 1, 13, 23, 61, 25, 31, 301, 189, 1031, 2817, 829, 8777, 26869, 54405, 43535, 234687}},
+{18048, 18, 77994, {1, 1, 1, 9, 11, 31, 13, 139, 77, 567, 949, 3415, 6955, 14973, 9565, 37911, 18395, 94167}},
+{18049, 18, 78004, {1, 3, 5, 13, 17, 17, 21, 213, 171, 993, 1001, 979, 5085, 3909, 11797, 48669, 73541, 48979}},
+{18050, 18, 78043, {1, 1, 7, 9, 7, 37, 35, 107, 347, 239, 585, 2883, 3235, 1053, 14871, 25799, 4861, 56335}},
+{18051, 18, 78052, {1, 1, 3, 5, 19, 7, 91, 139, 325, 921, 863, 209, 845, 15943, 8281, 55103, 110193, 216091}},
+{18052, 18, 78061, {1, 3, 1, 13, 31, 33, 65, 155, 177, 103, 1991, 343, 6299, 3587, 30215, 64335, 114301, 220403}},
+{18053, 18, 78064, {1, 3, 5, 3, 31, 37, 121, 157, 443, 349, 1097, 3683, 503, 14061, 14685, 29755, 61543, 232983}},
+{18054, 18, 78084, {1, 3, 3, 11, 17, 59, 29, 161, 381, 791, 1647, 1077, 6369, 1095, 17279, 43141, 65003, 144609}},
+{18055, 18, 78094, {1, 1, 5, 1, 1, 15, 67, 77, 3, 585, 1909, 1485, 3003, 591, 4711, 10279, 75901, 226417}},
+{18056, 18, 78099, {1, 3, 7, 5, 1, 5, 5, 193, 469, 631, 1065, 607, 2751, 8163, 13633, 40563, 1417, 118169}},
+{18057, 18, 78129, {1, 1, 7, 9, 25, 25, 109, 27, 157, 495, 225, 1385, 4315, 995, 10591, 1629, 129939, 56765}},
+{18058, 18, 78142, {1, 3, 1, 7, 9, 23, 61, 63, 35, 145, 1537, 1029, 4225, 1467, 10519, 32861, 519, 53983}},
+{18059, 18, 78149, {1, 3, 3, 11, 7, 59, 25, 199, 403, 967, 1089, 1121, 1063, 6701, 16827, 55479, 72983, 36873}},
+{18060, 18, 78153, {1, 1, 1, 13, 9, 27, 19, 23, 395, 229, 1837, 1231, 1737, 10475, 16743, 42369, 130331, 47255}},
+{18061, 18, 78171, {1, 1, 5, 7, 29, 15, 95, 155, 339, 65, 751, 2399, 5615, 2987, 16769, 57381, 113021, 41417}},
+{18062, 18, 78173, {1, 3, 1, 9, 15, 17, 1, 111, 197, 7, 417, 3999, 7261, 5939, 16773, 29275, 105559, 84685}},
+{18063, 18, 78174, {1, 3, 3, 13, 19, 31, 103, 1, 37, 269, 1257, 1397, 4293, 3019, 6503, 7727, 93943, 237313}},
+{18064, 18, 78195, {1, 1, 3, 9, 13, 37, 67, 129, 43, 669, 1331, 1787, 8185, 323, 18749, 13737, 86123, 154131}},
+{18065, 18, 78201, {1, 3, 1, 11, 3, 51, 13, 35, 197, 867, 559, 1381, 1057, 13293, 20603, 18633, 50503, 169685}},
+{18066, 18, 78202, {1, 3, 1, 11, 9, 35, 7, 51, 499, 885, 353, 4095, 6491, 5917, 15053, 18363, 99593, 213089}},
+{18067, 18, 78241, {1, 1, 3, 9, 19, 23, 107, 147, 339, 331, 1349, 2855, 3721, 13317, 26457, 783, 93949, 196051}},
+{18068, 18, 78247, {1, 1, 5, 1, 9, 61, 89, 217, 315, 385, 1729, 2641, 5753, 6269, 547, 33737, 20103, 31533}},
+{18069, 18, 78274, {1, 3, 5, 13, 13, 61, 3, 191, 57, 683, 1227, 1255, 3651, 10687, 9049, 6529, 60783, 28639}},
+{18070, 18, 78276, {1, 1, 7, 11, 25, 41, 79, 19, 383, 363, 1731, 1597, 1651, 15037, 22191, 51883, 41927, 82419}},
+{18071, 18, 78303, {1, 3, 5, 9, 15, 61, 39, 149, 49, 633, 709, 1743, 621, 14659, 3309, 64129, 91897, 74235}},
+{18072, 18, 78307, {1, 3, 7, 15, 5, 59, 7, 197, 111, 885, 1737, 855, 2807, 3817, 13759, 29989, 45105, 171689}},
+{18073, 18, 78328, {1, 1, 3, 9, 21, 25, 55, 67, 483, 437, 303, 703, 6993, 1971, 4565, 56117, 6105, 254517}},
+{18074, 18, 78344, {1, 3, 3, 13, 15, 13, 19, 3, 487, 751, 1185, 2985, 1619, 7139, 26087, 21105, 9049, 236153}},
+{18075, 18, 78362, {1, 1, 5, 7, 15, 55, 51, 231, 85, 953, 713, 659, 2021, 4271, 15961, 26873, 31141, 76635}},
+{18076, 18, 78367, {1, 3, 5, 1, 11, 39, 3, 223, 367, 903, 799, 415, 7247, 9539, 14479, 37195, 59951, 181935}},
+{18077, 18, 78368, {1, 1, 5, 3, 13, 47, 17, 159, 439, 859, 1067, 3111, 5277, 13973, 21999, 28381, 115685, 231483}},
+{18078, 18, 78409, {1, 1, 7, 15, 17, 21, 69, 131, 193, 479, 1075, 3271, 2057, 1295, 31235, 35027, 94145, 65419}},
+{18079, 18, 78412, {1, 3, 3, 5, 5, 21, 5, 81, 113, 259, 837, 831, 5985, 6717, 12041, 40355, 50957, 111185}},
+{18080, 18, 78417, {1, 1, 1, 9, 15, 47, 103, 195, 465, 739, 1415, 225, 3121, 12623, 7539, 17555, 36703, 217641}},
+{18081, 18, 78430, {1, 3, 1, 3, 31, 17, 91, 153, 221, 217, 525, 981, 281, 9869, 9713, 10669, 12049, 97615}},
+{18082, 18, 78433, {1, 1, 5, 7, 29, 1, 1, 199, 415, 843, 301, 941, 4589, 13301, 5833, 41311, 74019, 78537}},
+{18083, 18, 78440, {1, 1, 5, 11, 13, 5, 41, 127, 213, 917, 1297, 2281, 3193, 3877, 9517, 40685, 14657, 185139}},
+{18084, 18, 78451, {1, 1, 1, 7, 21, 45, 87, 33, 425, 487, 643, 271, 7087, 5979, 14795, 27575, 34541, 173251}},
+{18085, 18, 78453, {1, 3, 7, 5, 21, 11, 7, 169, 325, 905, 973, 2853, 7929, 8801, 1005, 60641, 45973, 81859}},
+{18086, 18, 78458, {1, 3, 3, 1, 1, 35, 39, 81, 93, 463, 697, 2309, 7769, 5169, 17595, 41447, 28837, 52613}},
+{18087, 18, 78467, {1, 1, 7, 1, 1, 23, 37, 17, 137, 873, 1657, 681, 503, 7887, 24463, 32453, 112727, 133347}},
+{18088, 18, 78479, {1, 1, 5, 9, 19, 35, 37, 85, 11, 245, 11, 3, 6475, 5953, 247, 49447, 32813, 243841}},
+{18089, 18, 78507, {1, 3, 5, 3, 19, 53, 37, 45, 431, 259, 1831, 1443, 2237, 7651, 20701, 22857, 50041, 119667}},
+{18090, 18, 78518, {1, 1, 7, 1, 5, 37, 113, 69, 389, 369, 1251, 1989, 7613, 10669, 4233, 33379, 72465, 256861}},
+{18091, 18, 78535, {1, 1, 7, 5, 27, 55, 17, 75, 373, 325, 1981, 1743, 7341, 319, 28169, 3587, 66057, 169723}},
+{18092, 18, 78542, {1, 3, 3, 15, 27, 31, 47, 91, 367, 245, 2045, 979, 2169, 10935, 29523, 64871, 119447, 92131}},
+{18093, 18, 78549, {1, 3, 7, 15, 9, 11, 93, 61, 249, 107, 1883, 2547, 375, 4195, 6451, 14533, 62529, 93557}},
+{18094, 18, 78554, {1, 1, 1, 3, 29, 61, 65, 155, 301, 1017, 131, 1567, 3649, 3447, 27943, 52111, 9133, 88147}},
+{18095, 18, 78556, {1, 1, 1, 1, 21, 59, 107, 151, 265, 707, 767, 2325, 8095, 14027, 15355, 15465, 83143, 116199}},
+{18096, 18, 78583, {1, 3, 1, 15, 23, 51, 31, 25, 439, 357, 1563, 1091, 2135, 1327, 18427, 60965, 29215, 157351}},
+{18097, 18, 78590, {1, 3, 3, 13, 29, 37, 25, 215, 149, 487, 703, 1787, 3641, 8301, 8795, 13845, 95245, 169793}},
+{18098, 18, 78615, {1, 3, 3, 11, 27, 3, 49, 87, 69, 687, 1181, 3405, 589, 12901, 14199, 48607, 74027, 181379}},
+{18099, 18, 78635, {1, 3, 5, 13, 9, 15, 33, 229, 135, 769, 1005, 2435, 4831, 5493, 16745, 64379, 20253, 52661}},
+{18100, 18, 78649, {1, 1, 1, 13, 9, 61, 33, 127, 339, 15, 945, 219, 4291, 6995, 29127, 61853, 40741, 170541}},
+{18101, 18, 78684, {1, 3, 3, 15, 9, 33, 75, 39, 327, 133, 733, 1125, 2747, 15031, 24575, 65013, 41997, 158679}},
+{18102, 18, 78691, {1, 1, 3, 9, 3, 9, 63, 83, 493, 175, 249, 1977, 8177, 4067, 2131, 12467, 86185, 73417}},
+{18103, 18, 78705, {1, 1, 3, 13, 29, 55, 91, 109, 73, 913, 1343, 2147, 105, 8763, 7613, 55749, 4339, 61253}},
+{18104, 18, 78724, {1, 1, 5, 5, 17, 19, 45, 57, 345, 835, 341, 1365, 5187, 7485, 22685, 32321, 67279, 141119}},
+{18105, 18, 78755, {1, 1, 3, 11, 9, 47, 11, 231, 241, 681, 255, 3663, 5547, 997, 2445, 64413, 55349, 61785}},
+{18106, 18, 78770, {1, 3, 5, 5, 23, 29, 23, 249, 149, 1011, 173, 271, 485, 1239, 81, 59277, 96669, 210859}},
+{18107, 18, 78772, {1, 3, 3, 1, 17, 9, 41, 39, 309, 131, 1431, 1497, 1669, 14191, 22795, 48951, 101731, 70847}},
+{18108, 18, 78818, {1, 1, 3, 15, 1, 11, 37, 79, 23, 1023, 585, 127, 7817, 15009, 3897, 44601, 83039, 240457}},
+{18109, 18, 78837, {1, 3, 5, 9, 21, 33, 55, 31, 193, 745, 1741, 3637, 7265, 8969, 11797, 33239, 29123, 126077}},
+{18110, 18, 78844, {1, 3, 3, 13, 31, 5, 87, 215, 271, 573, 1423, 2611, 947, 14669, 23785, 60579, 127099, 55877}},
+{18111, 18, 78849, {1, 3, 1, 13, 5, 53, 103, 85, 237, 457, 739, 1201, 133, 8589, 13471, 6707, 42257, 141989}},
+{18112, 18, 78909, {1, 1, 1, 5, 23, 3, 65, 159, 445, 823, 341, 1723, 6263, 9421, 16023, 19145, 52337, 229397}},
+{18113, 18, 78915, {1, 3, 5, 3, 15, 3, 15, 251, 407, 137, 951, 1319, 1035, 7713, 29579, 19591, 77841, 84949}},
+{18114, 18, 78941, {1, 1, 7, 15, 19, 25, 63, 141, 511, 11, 1027, 1209, 6627, 8127, 14879, 12965, 109973, 144501}},
+{18115, 18, 78958, {1, 1, 1, 3, 11, 57, 65, 169, 453, 197, 1249, 2933, 3743, 1971, 19373, 32109, 73265, 46185}},
+{18116, 18, 78975, {1, 1, 3, 1, 3, 1, 21, 47, 471, 565, 1795, 1771, 3187, 7189, 18627, 22993, 112319, 158693}},
+{18117, 18, 78979, {1, 1, 5, 7, 5, 25, 127, 113, 31, 609, 1273, 2799, 5713, 16091, 22239, 43617, 126003, 218991}},
+{18118, 18, 78986, {1, 3, 3, 7, 19, 59, 19, 185, 483, 431, 335, 565, 819, 2555, 18653, 36573, 50085, 31007}},
+{18119, 18, 79029, {1, 1, 3, 13, 17, 61, 5, 219, 297, 755, 2005, 391, 4927, 1517, 11341, 9527, 51739, 182599}},
+{18120, 18, 79030, {1, 3, 7, 9, 9, 3, 39, 211, 475, 717, 189, 819, 529, 469, 28559, 7321, 60213, 79505}},
+{18121, 18, 79044, {1, 3, 1, 9, 17, 39, 53, 65, 247, 145, 9, 1669, 7221, 8359, 11021, 29775, 24693, 208655}},
+{18122, 18, 79048, {1, 1, 5, 13, 7, 7, 31, 135, 375, 439, 1419, 3579, 4313, 14057, 31505, 55249, 5345, 69537}},
+{18123, 18, 79056, {1, 3, 5, 9, 21, 3, 125, 223, 9, 73, 1693, 281, 3941, 10377, 29365, 19807, 73973, 169113}},
+{18124, 18, 79095, {1, 3, 7, 15, 29, 41, 119, 75, 241, 79, 1969, 1091, 6241, 10685, 11579, 3791, 124443, 5051}},
+{18125, 18, 79099, {1, 3, 7, 15, 23, 53, 13, 255, 205, 547, 255, 1589, 7261, 15735, 14521, 29679, 109373, 236433}},
+{18126, 18, 79121, {1, 3, 7, 3, 17, 37, 71, 163, 95, 265, 1, 3239, 1779, 9047, 31387, 32291, 86741, 55317}},
+{18127, 18, 79150, {1, 3, 1, 9, 31, 55, 117, 247, 317, 673, 749, 1155, 7743, 6427, 25273, 49701, 62345, 20913}},
+{18128, 18, 79196, {1, 3, 3, 7, 27, 55, 35, 111, 69, 799, 213, 3011, 4359, 14763, 7387, 13281, 58397, 38415}},
+{18129, 18, 79199, {1, 1, 5, 9, 5, 61, 49, 219, 419, 297, 1019, 2181, 6069, 12957, 24637, 23317, 6389, 240893}},
+{18130, 18, 79220, {1, 1, 5, 15, 13, 57, 59, 43, 373, 647, 1407, 3955, 5583, 15229, 20935, 38007, 65971, 95987}},
+{18131, 18, 79229, {1, 1, 7, 7, 23, 17, 77, 91, 449, 75, 1059, 3337, 2041, 261, 25077, 28161, 44537, 189443}},
+{18132, 18, 79263, {1, 1, 7, 11, 9, 7, 117, 225, 457, 941, 161, 1825, 1101, 193, 32619, 37245, 102633, 86707}},
+{18133, 18, 79264, {1, 1, 1, 7, 13, 43, 33, 137, 275, 691, 1387, 1265, 759, 1457, 4877, 41813, 4159, 234397}},
+{18134, 18, 79296, {1, 3, 3, 1, 9, 23, 71, 39, 205, 175, 953, 2965, 3283, 6025, 5905, 34691, 120987, 71841}},
+{18135, 18, 79302, {1, 3, 1, 13, 31, 63, 49, 73, 299, 169, 1265, 2205, 1299, 10045, 6919, 26067, 56909, 42549}},
+{18136, 18, 79354, {1, 3, 3, 1, 31, 41, 75, 219, 457, 407, 5, 1901, 6823, 531, 3155, 64375, 38523, 68217}},
+{18137, 18, 79387, {1, 1, 7, 9, 7, 35, 123, 193, 145, 1021, 757, 3775, 2313, 11885, 11649, 61071, 129363, 120467}},
+{18138, 18, 79399, {1, 3, 7, 3, 29, 21, 127, 93, 415, 641, 453, 923, 7713, 9569, 5961, 25969, 31095, 93317}},
+{18139, 18, 79435, {1, 3, 3, 1, 5, 15, 21, 235, 211, 663, 385, 2429, 319, 11571, 17539, 42975, 43179, 100105}},
+{18140, 18, 79525, {1, 3, 7, 7, 25, 57, 51, 215, 393, 167, 1569, 3235, 5555, 3391, 2389, 36485, 21919, 164479}},
+{18141, 18, 79540, {1, 3, 3, 3, 29, 21, 81, 59, 239, 671, 605, 583, 2341, 2321, 28593, 19035, 10209, 36433}},
+{18142, 18, 79552, {1, 3, 3, 11, 31, 33, 1, 147, 111, 523, 427, 3545, 111, 8009, 29101, 34549, 122745, 82117}},
+{18143, 18, 79562, {1, 3, 5, 15, 19, 37, 97, 141, 387, 523, 467, 1657, 4161, 5505, 18091, 39597, 124423, 74827}},
+{18144, 18, 79576, {1, 1, 1, 11, 21, 63, 61, 13, 169, 851, 1863, 3307, 7189, 10791, 22619, 24431, 127781, 14717}},
+{18145, 18, 79579, {1, 1, 3, 13, 27, 41, 69, 127, 497, 565, 1489, 277, 2551, 15409, 9885, 187, 101319, 194121}},
+{18146, 18, 79605, {1, 1, 7, 7, 17, 45, 1, 139, 347, 503, 1189, 1459, 6117, 14319, 22153, 2915, 91991, 246679}},
+{18147, 18, 79618, {1, 3, 3, 3, 9, 41, 25, 199, 327, 295, 945, 2765, 563, 11605, 24267, 37729, 80057, 169479}},
+{18148, 18, 79648, {1, 1, 7, 3, 23, 19, 13, 219, 235, 837, 1015, 2071, 2727, 3989, 32539, 26713, 112391, 163943}},
+{18149, 18, 79654, {1, 3, 3, 9, 21, 27, 17, 187, 315, 753, 817, 3053, 5961, 973, 23973, 37621, 105637, 247711}},
+{18150, 18, 79666, {1, 1, 7, 1, 11, 15, 45, 25, 421, 213, 663, 3829, 469, 15889, 28773, 14323, 107705, 111729}},
+{18151, 18, 79686, {1, 1, 1, 7, 7, 7, 51, 189, 457, 95, 1903, 639, 1933, 7409, 22327, 18959, 42679, 158987}},
+{18152, 18, 79697, {1, 1, 5, 9, 13, 13, 49, 159, 387, 365, 1799, 2399, 6375, 14965, 32495, 5383, 73479, 5653}},
+{18153, 18, 79700, {1, 1, 3, 1, 29, 23, 81, 73, 183, 563, 435, 133, 5731, 6663, 21219, 60007, 101215, 68775}},
+{18154, 18, 79723, {1, 1, 7, 11, 31, 47, 43, 159, 221, 745, 1317, 2405, 4563, 4073, 27675, 14225, 114231, 222553}},
+{18155, 18, 79749, {1, 1, 1, 5, 11, 63, 105, 99, 413, 81, 771, 547, 1633, 8097, 30431, 31417, 101379, 163575}},
+{18156, 18, 79750, {1, 1, 3, 9, 23, 29, 123, 149, 241, 267, 1925, 467, 7743, 4473, 12223, 10521, 86265, 89949}},
+{18157, 18, 79764, {1, 3, 5, 1, 31, 29, 111, 67, 311, 851, 1919, 2563, 3725, 4035, 7241, 13859, 105207, 200599}},
+{18158, 18, 79771, {1, 3, 7, 3, 19, 53, 113, 107, 133, 243, 2021, 2669, 4633, 14393, 24827, 1233, 81471, 20105}},
+{18159, 18, 79774, {1, 1, 1, 5, 3, 23, 43, 149, 157, 875, 1175, 963, 6189, 7343, 13913, 41375, 112857, 236047}},
+{18160, 18, 79780, {1, 3, 5, 15, 11, 31, 43, 225, 469, 229, 703, 3033, 2341, 10309, 12057, 13325, 109019, 130789}},
+{18161, 18, 79789, {1, 1, 1, 7, 27, 47, 45, 49, 371, 971, 1121, 2179, 1267, 9499, 10771, 28781, 77059, 90765}},
+{18162, 18, 79798, {1, 1, 7, 1, 17, 27, 59, 169, 269, 217, 983, 1365, 1985, 12287, 5385, 46407, 24827, 155761}},
+{18163, 18, 79821, {1, 1, 7, 11, 9, 5, 19, 205, 159, 937, 763, 3823, 3625, 14209, 32031, 58879, 118449, 50723}},
+{18164, 18, 79850, {1, 1, 5, 3, 25, 55, 27, 35, 125, 999, 1541, 3883, 539, 5691, 18071, 63199, 112089, 194825}},
+{18165, 18, 79864, {1, 3, 3, 1, 27, 43, 57, 225, 173, 673, 1339, 3433, 5743, 1375, 32429, 35071, 98035, 229973}},
+{18166, 18, 79898, {1, 3, 3, 9, 3, 51, 5, 203, 439, 41, 529, 863, 6735, 13211, 7075, 55637, 24481, 46673}},
+{18167, 18, 79904, {1, 1, 5, 11, 15, 23, 93, 7, 181, 843, 777, 1299, 1941, 7147, 26253, 10967, 5387, 84611}},
+{18168, 18, 79934, {1, 3, 1, 7, 9, 57, 127, 155, 257, 423, 1421, 261, 4477, 11169, 22997, 12371, 8705, 135883}},
+{18169, 18, 79936, {1, 3, 1, 9, 17, 9, 15, 209, 427, 889, 1939, 3623, 2587, 4037, 32233, 40391, 32529, 63851}},
+{18170, 18, 79942, {1, 3, 3, 13, 3, 19, 49, 155, 213, 239, 817, 1787, 2999, 9955, 20155, 44711, 41367, 59623}},
+{18171, 18, 79945, {1, 3, 7, 5, 5, 39, 103, 181, 405, 85, 1997, 3639, 1259, 10737, 189, 44377, 23589, 89371}},
+{18172, 18, 79963, {1, 3, 5, 11, 15, 13, 57, 81, 203, 773, 1571, 3235, 6625, 13803, 2091, 64265, 131013, 189705}},
+{18173, 18, 79987, {1, 1, 1, 13, 15, 3, 113, 159, 149, 55, 355, 2345, 5043, 4067, 23277, 32647, 43755, 5445}},
+{18174, 18, 80057, {1, 3, 3, 9, 31, 7, 67, 177, 423, 269, 1731, 3957, 4383, 13483, 14653, 8243, 57689, 37375}},
+{18175, 18, 80077, {1, 1, 3, 5, 25, 5, 77, 199, 161, 859, 497, 1679, 6809, 4877, 1107, 16443, 15505, 138155}},
+{18176, 18, 80078, {1, 3, 5, 1, 11, 57, 7, 49, 145, 569, 571, 2679, 7531, 14517, 12425, 6285, 116961, 116397}},
+{18177, 18, 80080, {1, 1, 7, 11, 1, 37, 65, 43, 151, 419, 801, 3231, 5321, 10725, 12885, 62771, 16507, 179009}},
+{18178, 18, 80102, {1, 1, 5, 11, 29, 55, 89, 81, 325, 47, 1037, 3235, 2017, 10875, 8919, 25115, 118035, 178227}},
+{18179, 18, 80106, {1, 3, 1, 7, 1, 43, 101, 25, 449, 617, 381, 3437, 6655, 1291, 18693, 53939, 99143, 195695}},
+{18180, 18, 80111, {1, 3, 1, 5, 23, 7, 47, 159, 295, 939, 173, 3087, 1497, 6353, 13893, 13465, 118973, 193737}},
+{18181, 18, 80152, {1, 1, 3, 9, 3, 41, 65, 79, 449, 345, 2039, 1193, 5915, 13689, 1257, 23273, 48515, 256793}},
+{18182, 18, 80155, {1, 3, 5, 11, 11, 55, 13, 117, 343, 899, 1853, 373, 6885, 12863, 1209, 34433, 48215, 218187}},
+{18183, 18, 80173, {1, 3, 7, 7, 3, 45, 103, 145, 55, 507, 743, 4027, 2075, 15707, 4473, 50077, 64551, 204305}},
+{18184, 18, 80186, {1, 1, 3, 5, 31, 45, 123, 233, 363, 1003, 411, 1459, 6455, 985, 29451, 17625, 44153, 137097}},
+{18185, 18, 80203, {1, 3, 3, 1, 27, 11, 53, 251, 41, 43, 495, 107, 6145, 8785, 28997, 7181, 92903, 105785}},
+{18186, 18, 80223, {1, 1, 3, 11, 13, 5, 117, 141, 463, 639, 1857, 2873, 3627, 6081, 18207, 29451, 80909, 73557}},
+{18187, 18, 80233, {1, 1, 1, 3, 29, 51, 15, 81, 85, 487, 307, 2481, 2769, 14901, 9407, 58321, 52813, 230393}},
+{18188, 18, 80258, {1, 3, 3, 11, 31, 7, 107, 43, 205, 811, 1121, 2757, 2447, 6843, 21347, 9143, 41003, 80507}},
+{18189, 18, 80281, {1, 1, 1, 1, 29, 19, 13, 203, 47, 689, 2003, 1477, 7857, 5031, 21781, 5745, 3649, 160389}},
+{18190, 18, 80318, {1, 3, 3, 7, 21, 21, 65, 3, 351, 157, 167, 3425, 2395, 9165, 26143, 57221, 127171, 54461}},
+{18191, 18, 80326, {1, 3, 1, 15, 13, 13, 65, 53, 305, 719, 181, 709, 5485, 13385, 30287, 52669, 82647, 83851}},
+{18192, 18, 80330, {1, 1, 3, 11, 11, 23, 31, 109, 205, 123, 509, 3831, 7771, 7341, 31613, 28035, 38061, 49375}},
+{18193, 18, 80337, {1, 3, 3, 3, 15, 33, 47, 159, 321, 589, 393, 3253, 3743, 6161, 445, 33129, 8181, 27793}},
+{18194, 18, 80344, {1, 1, 1, 13, 9, 57, 111, 253, 203, 539, 673, 855, 1937, 2699, 25795, 6889, 13531, 63561}},
+{18195, 18, 80365, {1, 1, 1, 13, 31, 45, 13, 101, 113, 903, 1699, 2423, 7967, 7957, 20303, 64395, 124447, 33947}},
+{18196, 18, 80383, {1, 3, 5, 11, 17, 39, 59, 181, 421, 535, 1445, 3927, 5433, 12885, 12497, 47231, 39819, 46371}},
+{18197, 18, 80389, {1, 3, 5, 7, 27, 3, 75, 49, 461, 781, 433, 1767, 6903, 11907, 2063, 55199, 82823, 229405}},
+{18198, 18, 80413, {1, 3, 3, 15, 17, 61, 17, 23, 247, 683, 33, 4027, 341, 8069, 2529, 9757, 95653, 12927}},
+{18199, 18, 80441, {1, 3, 3, 11, 17, 7, 29, 205, 353, 917, 219, 3509, 7803, 5939, 25111, 45357, 9259, 1549}},
+{18200, 18, 80449, {1, 3, 3, 15, 21, 7, 23, 25, 459, 291, 31, 2091, 1177, 9311, 12231, 16617, 33575, 252643}},
+{18201, 18, 80461, {1, 3, 5, 5, 3, 51, 113, 123, 453, 503, 1575, 2785, 5011, 1789, 819, 30857, 12955, 172421}},
+{18202, 18, 80467, {1, 1, 5, 3, 15, 15, 125, 65, 113, 281, 53, 3417, 5279, 6351, 25931, 54835, 124077, 204241}},
+{18203, 18, 80476, {1, 1, 3, 9, 29, 31, 19, 179, 275, 933, 711, 3351, 6221, 1711, 9375, 11645, 118911, 249395}},
+{18204, 18, 80507, {1, 3, 7, 13, 23, 59, 43, 61, 85, 267, 691, 3949, 2135, 3203, 21455, 61895, 71157, 136739}},
+{18205, 18, 80516, {1, 1, 7, 5, 19, 27, 69, 141, 9, 633, 95, 3789, 7823, 12635, 27661, 30285, 129469, 67163}},
+{18206, 18, 80519, {1, 3, 3, 9, 11, 25, 103, 47, 425, 809, 1279, 411, 219, 6703, 24145, 17303, 56835, 84879}},
+{18207, 18, 80568, {1, 1, 5, 13, 29, 41, 47, 133, 197, 615, 169, 2157, 1795, 4945, 31693, 57763, 39369, 83353}},
+{18208, 18, 80571, {1, 3, 1, 3, 27, 23, 23, 213, 387, 239, 977, 221, 383, 11005, 7221, 8795, 100963, 163777}},
+{18209, 18, 80579, {1, 1, 1, 1, 31, 29, 87, 93, 239, 399, 801, 3143, 6973, 16331, 16865, 1823, 1127, 41983}},
+{18210, 18, 80586, {1, 1, 3, 13, 7, 39, 25, 251, 277, 417, 119, 3033, 6785, 9783, 1641, 60169, 25047, 182263}},
+{18211, 18, 80599, {1, 1, 5, 5, 7, 35, 17, 47, 295, 861, 1671, 1971, 4583, 3925, 31013, 50039, 125191, 143019}},
+{18212, 18, 80610, {1, 1, 5, 1, 3, 57, 11, 23, 273, 209, 617, 1499, 665, 1193, 7539, 1625, 48065, 82843}},
+{18213, 18, 80629, {1, 1, 3, 15, 15, 17, 39, 145, 193, 503, 1305, 2071, 93, 11529, 14267, 14779, 49327, 51347}},
+{18214, 18, 80642, {1, 3, 5, 3, 7, 39, 63, 171, 263, 493, 383, 3209, 4277, 6259, 1345, 48013, 110571, 127865}},
+{18215, 18, 80690, {1, 3, 1, 7, 15, 29, 93, 75, 37, 235, 1095, 153, 745, 9785, 28831, 58899, 67091, 34743}},
+{18216, 18, 80713, {1, 3, 7, 9, 27, 23, 67, 85, 491, 447, 1899, 709, 555, 13979, 12529, 38383, 16091, 117301}},
+{18217, 18, 80716, {1, 1, 5, 3, 9, 55, 109, 173, 29, 19, 1265, 2391, 7761, 1953, 5643, 24079, 14187, 127017}},
+{18218, 18, 80737, {1, 3, 7, 13, 21, 57, 105, 145, 73, 421, 403, 5, 3523, 7005, 1109, 63357, 111671, 191857}},
+{18219, 18, 80743, {1, 1, 7, 13, 5, 27, 21, 5, 199, 515, 917, 365, 2775, 12453, 26989, 60593, 98977, 161759}},
+{18220, 18, 80750, {1, 3, 1, 13, 15, 37, 71, 65, 27, 533, 1311, 2981, 1945, 7183, 5337, 20659, 67355, 185633}},
+{18221, 18, 80786, {1, 1, 5, 7, 21, 39, 21, 195, 443, 979, 1033, 1823, 3045, 3023, 31783, 61803, 1023, 119291}},
+{18222, 18, 80811, {1, 1, 3, 11, 5, 15, 107, 155, 465, 249, 1845, 357, 2769, 3313, 12335, 16615, 20809, 103469}},
+{18223, 18, 80834, {1, 1, 3, 9, 13, 21, 11, 227, 173, 949, 1255, 3257, 601, 10865, 12779, 9173, 87255, 12867}},
+{18224, 18, 80839, {1, 3, 3, 15, 3, 41, 97, 141, 385, 23, 1253, 2905, 1523, 7647, 7069, 61143, 101245, 59747}},
+{18225, 18, 80840, {1, 3, 1, 3, 7, 35, 117, 93, 357, 741, 1673, 3295, 6809, 547, 22949, 42151, 91241, 16189}},
+{18226, 18, 80846, {1, 3, 5, 9, 25, 31, 27, 221, 55, 595, 1513, 3963, 3143, 1189, 19843, 6361, 19575, 231765}},
+{18227, 18, 80848, {1, 1, 5, 1, 3, 35, 91, 217, 385, 717, 57, 1471, 3529, 859, 15259, 4411, 54491, 79841}},
+{18228, 18, 80876, {1, 1, 5, 9, 29, 47, 111, 89, 469, 975, 513, 1339, 1747, 8839, 30375, 46217, 128191, 95831}},
+{18229, 18, 80911, {1, 1, 5, 13, 9, 45, 3, 221, 223, 461, 1353, 3953, 5505, 3139, 3407, 12953, 74487, 209401}},
+{18230, 18, 80947, {1, 1, 7, 7, 7, 43, 33, 143, 427, 183, 573, 2881, 7355, 10693, 12841, 14267, 61847, 47689}},
+{18231, 18, 81001, {1, 1, 3, 5, 23, 45, 53, 173, 347, 715, 173, 3385, 429, 8143, 2831, 57883, 77245, 37613}},
+{18232, 18, 81031, {1, 1, 1, 13, 21, 47, 33, 157, 171, 47, 1981, 2003, 7401, 7687, 10553, 38083, 111901, 30251}},
+{18233, 18, 81045, {1, 1, 5, 9, 23, 35, 121, 251, 7, 835, 1561, 1605, 7023, 15645, 14313, 6361, 107973, 211667}},
+{18234, 18, 81056, {1, 3, 1, 13, 25, 39, 81, 31, 145, 483, 1587, 3457, 5293, 927, 3529, 22457, 69689, 190371}},
+{18235, 18, 81073, {1, 1, 1, 3, 25, 61, 87, 111, 441, 829, 313, 2271, 205, 10187, 3003, 47237, 99899, 200553}},
+{18236, 18, 81083, {1, 1, 7, 13, 31, 51, 9, 243, 219, 139, 1703, 2001, 959, 11265, 27897, 9081, 4473, 107737}},
+{18237, 18, 81145, {1, 3, 5, 1, 25, 37, 61, 131, 487, 35, 1293, 833, 3847, 11315, 11811, 2763, 2199, 81127}},
+{18238, 18, 81168, {1, 3, 7, 7, 31, 33, 87, 111, 429, 809, 173, 1093, 7719, 14307, 5735, 61019, 21223, 26361}},
+{18239, 18, 81177, {1, 1, 3, 11, 17, 33, 31, 17, 49, 885, 1279, 2243, 3693, 61, 30909, 35807, 14027, 159225}},
+{18240, 18, 81207, {1, 3, 7, 11, 9, 35, 61, 75, 171, 117, 1285, 935, 7271, 3509, 14119, 31065, 58181, 136623}},
+{18241, 18, 81208, {1, 1, 3, 15, 3, 43, 93, 221, 239, 783, 37, 4007, 3637, 10461, 18425, 59629, 93781, 252689}},
+{18242, 18, 81226, {1, 3, 5, 7, 5, 61, 19, 107, 123, 417, 1655, 2307, 8177, 13617, 17195, 31597, 66241, 107199}},
+{18243, 18, 81245, {1, 3, 7, 7, 5, 5, 25, 69, 383, 217, 993, 2719, 3425, 8395, 1125, 10763, 80111, 70421}},
+{18244, 18, 81269, {1, 1, 3, 9, 29, 45, 123, 45, 89, 1015, 1703, 4049, 4969, 3801, 23657, 41031, 66415, 34063}},
+{18245, 18, 81285, {1, 1, 3, 3, 7, 53, 125, 63, 67, 335, 1937, 1793, 4641, 7115, 10951, 45503, 54723, 177433}},
+{18246, 18, 81289, {1, 3, 5, 1, 21, 55, 83, 199, 509, 331, 695, 2133, 1881, 14369, 21687, 2343, 85895, 99255}},
+{18247, 18, 81292, {1, 1, 5, 9, 11, 5, 111, 97, 433, 851, 1537, 411, 6629, 5185, 30749, 50017, 46177, 213347}},
+{18248, 18, 81298, {1, 3, 3, 1, 7, 21, 95, 229, 311, 605, 1277, 2435, 5053, 3051, 15447, 35479, 2835, 204149}},
+{18249, 18, 81310, {1, 3, 5, 9, 31, 27, 79, 201, 329, 735, 1933, 27, 6201, 9375, 24801, 34045, 16227, 61013}},
+{18250, 18, 81346, {1, 1, 5, 5, 31, 7, 73, 197, 455, 835, 1845, 2733, 3371, 513, 10495, 43659, 4621, 68969}},
+{18251, 18, 81348, {1, 1, 1, 15, 21, 55, 15, 83, 419, 471, 1427, 919, 7125, 7635, 25579, 19493, 37381, 191563}},
+{18252, 18, 81355, {1, 1, 7, 3, 15, 35, 25, 73, 295, 507, 719, 3307, 4253, 945, 21005, 24903, 80287, 48885}},
+{18253, 18, 81388, {1, 3, 7, 15, 27, 13, 71, 79, 189, 491, 1185, 3007, 4285, 13005, 18973, 33759, 15327, 45595}},
+{18254, 18, 81396, {1, 3, 3, 9, 9, 33, 115, 103, 31, 949, 1817, 2865, 1215, 9611, 16019, 7925, 72945, 208301}},
+{18255, 18, 81415, {1, 1, 1, 5, 19, 35, 89, 181, 409, 641, 1277, 2201, 2825, 5707, 13463, 34741, 39303, 217803}},
+{18256, 18, 81460, {1, 1, 3, 11, 13, 31, 65, 191, 11, 179, 509, 2513, 3861, 13323, 11817, 24901, 53815, 44343}},
+{18257, 18, 81482, {1, 3, 1, 5, 5, 57, 97, 25, 83, 177, 1963, 2367, 6703, 13361, 8749, 45533, 87883, 2977}},
+{18258, 18, 81518, {1, 3, 5, 3, 15, 41, 113, 145, 39, 509, 81, 1387, 2881, 1441, 75, 28409, 61417, 79393}},
+{18259, 18, 81523, {1, 3, 3, 3, 17, 1, 41, 19, 173, 133, 2033, 3637, 7415, 1841, 19497, 42643, 122885, 195301}},
+{18260, 18, 81529, {1, 3, 3, 9, 15, 37, 11, 87, 291, 881, 1471, 2469, 6877, 6813, 8273, 1455, 30957, 181887}},
+{18261, 18, 81545, {1, 3, 5, 9, 25, 41, 7, 71, 451, 831, 495, 3991, 4173, 4307, 31249, 7253, 57141, 35495}},
+{18262, 18, 81570, {1, 1, 7, 9, 15, 39, 29, 193, 327, 837, 991, 3503, 1175, 14965, 18151, 22479, 51127, 159019}},
+{18263, 18, 81576, {1, 3, 1, 9, 23, 41, 89, 211, 179, 507, 1005, 613, 8083, 15655, 1927, 23401, 51025, 21589}},
+{18264, 18, 81604, {1, 1, 5, 15, 5, 63, 105, 229, 239, 399, 591, 2233, 391, 2871, 29829, 49961, 62045, 190437}},
+{18265, 18, 81613, {1, 3, 5, 9, 7, 23, 85, 219, 163, 37, 1881, 589, 4239, 12845, 19993, 57267, 29519, 207597}},
+{18266, 18, 81631, {1, 3, 7, 15, 19, 19, 115, 141, 41, 405, 657, 2517, 4231, 10247, 21383, 11479, 52955, 121545}},
+{18267, 18, 81656, {1, 3, 1, 7, 23, 33, 65, 229, 287, 739, 1265, 1105, 487, 3801, 5211, 44731, 5359, 103685}},
+{18268, 18, 81679, {1, 3, 1, 13, 23, 29, 101, 153, 395, 335, 899, 303, 2073, 15767, 1303, 15539, 12889, 35517}},
+{18269, 18, 81684, {1, 1, 5, 11, 5, 63, 41, 53, 99, 339, 563, 2921, 4959, 13941, 13655, 10115, 56867, 42919}},
+{18270, 18, 81698, {1, 3, 5, 5, 5, 35, 127, 225, 497, 27, 139, 3269, 3929, 3369, 22697, 19421, 2921, 171927}},
+{18271, 18, 81736, {1, 1, 1, 15, 15, 21, 35, 251, 67, 447, 1045, 1173, 2951, 6589, 27261, 36597, 98721, 7205}},
+{18272, 18, 81747, {1, 3, 3, 9, 11, 63, 83, 19, 163, 381, 87, 1211, 3007, 4971, 27105, 2341, 21389, 32995}},
+{18273, 18, 81765, {1, 1, 3, 3, 21, 19, 63, 65, 505, 987, 1821, 2419, 3195, 2573, 1481, 35279, 45135, 597}},
+{18274, 18, 81775, {1, 3, 1, 15, 29, 5, 77, 65, 121, 223, 2009, 593, 7929, 10353, 22301, 25137, 40289, 95847}},
+{18275, 18, 81805, {1, 1, 3, 1, 17, 49, 9, 167, 69, 729, 1189, 1191, 1, 12603, 8281, 45193, 1427, 15887}},
+{18276, 18, 81842, {1, 1, 3, 7, 17, 5, 11, 217, 505, 317, 505, 1201, 8025, 13255, 12591, 16207, 32387, 242425}},
+{18277, 18, 81859, {1, 3, 7, 9, 25, 9, 97, 23, 91, 765, 653, 2689, 2787, 11719, 8455, 24665, 26907, 78525}},
+{18278, 18, 81865, {1, 3, 3, 15, 27, 19, 79, 157, 117, 715, 1921, 2453, 499, 13593, 14173, 1993, 110087, 151427}},
+{18279, 18, 81866, {1, 3, 1, 13, 5, 43, 59, 21, 451, 863, 533, 1723, 2059, 1611, 10403, 36479, 36999, 109553}},
+{18280, 18, 81892, {1, 3, 7, 7, 29, 63, 51, 5, 475, 549, 123, 1949, 5279, 8581, 20053, 52287, 125223, 152299}},
+{18281, 18, 81902, {1, 3, 1, 1, 7, 19, 1, 215, 273, 157, 1557, 425, 7549, 12337, 1735, 30917, 116487, 177335}},
+{18282, 18, 81933, {1, 1, 1, 1, 7, 47, 61, 191, 73, 551, 1435, 2283, 3191, 8545, 11875, 41389, 17607, 26869}},
+{18283, 18, 81934, {1, 1, 7, 9, 13, 61, 109, 121, 365, 223, 1729, 3311, 7249, 10765, 12419, 4235, 64127, 132257}},
+{18284, 18, 81942, {1, 1, 3, 13, 17, 25, 65, 49, 417, 311, 141, 1127, 53, 945, 28277, 33347, 96399, 166049}},
+{18285, 18, 81969, {1, 3, 7, 9, 5, 21, 93, 203, 467, 805, 115, 1757, 4535, 8687, 10423, 8065, 2955, 20403}},
+{18286, 18, 81981, {1, 3, 3, 15, 7, 63, 103, 137, 227, 111, 735, 2139, 4293, 5347, 4131, 63405, 42599, 173299}},
+{18287, 18, 81999, {1, 3, 7, 7, 17, 53, 127, 251, 57, 625, 843, 3045, 1319, 10085, 18591, 36115, 104193, 183891}},
+{18288, 18, 82004, {1, 3, 7, 1, 31, 57, 107, 253, 207, 739, 1703, 1377, 3807, 10289, 22969, 13087, 2805, 261279}},
+{18289, 18, 82008, {1, 1, 5, 5, 5, 59, 59, 63, 77, 663, 1109, 2159, 3725, 12355, 4805, 22433, 81851, 9419}},
+{18290, 18, 82032, {1, 1, 7, 15, 1, 1, 101, 101, 295, 311, 447, 3931, 933, 15713, 8919, 7185, 38577, 254203}},
+{18291, 18, 82035, {1, 1, 5, 15, 7, 35, 35, 141, 283, 665, 1685, 3875, 495, 1655, 8269, 23493, 1523, 248783}},
+{18292, 18, 82060, {1, 1, 5, 9, 27, 35, 25, 57, 285, 469, 1491, 1479, 3705, 11357, 5319, 11575, 116207, 215961}},
+{18293, 18, 82063, {1, 3, 5, 11, 7, 41, 67, 161, 73, 777, 247, 823, 6677, 1631, 3431, 2821, 25291, 17633}},
+{18294, 18, 82071, {1, 1, 3, 9, 19, 17, 45, 181, 139, 85, 857, 1231, 7167, 2951, 26847, 39113, 51705, 104617}},
+{18295, 18, 82081, {1, 3, 5, 1, 5, 55, 101, 209, 1, 47, 1059, 2175, 1549, 8007, 11267, 21863, 125567, 102775}},
+{18296, 18, 82082, {1, 3, 3, 15, 15, 21, 79, 85, 427, 963, 1335, 2129, 6831, 6613, 13319, 15781, 3781, 222547}},
+{18297, 18, 82105, {1, 3, 3, 13, 19, 63, 25, 123, 1, 215, 139, 1345, 5035, 3107, 14381, 6239, 18481, 202581}},
+{18298, 18, 82106, {1, 1, 5, 1, 11, 11, 11, 53, 109, 533, 1113, 177, 609, 15391, 22735, 62229, 103591, 89143}},
+{18299, 18, 82120, {1, 1, 5, 15, 3, 21, 115, 223, 167, 441, 277, 2971, 933, 2841, 26893, 48513, 74553, 250413}},
+{18300, 18, 82125, {1, 1, 1, 7, 19, 17, 43, 181, 483, 897, 819, 1657, 5539, 8847, 23483, 57605, 104703, 242559}},
+{18301, 18, 82156, {1, 3, 5, 11, 3, 63, 3, 129, 45, 981, 45, 845, 1481, 14735, 30451, 16937, 13789, 27107}},
+{18302, 18, 82176, {1, 3, 3, 15, 25, 11, 33, 49, 155, 947, 521, 3417, 3299, 1123, 9517, 32127, 117795, 223167}},
+{18303, 18, 82203, {1, 3, 5, 15, 3, 35, 27, 37, 287, 541, 727, 2779, 7033, 5189, 21579, 36895, 109645, 123353}},
+{18304, 18, 82210, {1, 3, 7, 9, 15, 53, 123, 125, 405, 841, 119, 63, 853, 8693, 1537, 25509, 49345, 54301}},
+{18305, 18, 82241, {1, 3, 7, 9, 11, 63, 65, 145, 283, 529, 1553, 883, 3319, 8601, 29379, 26991, 127343, 98701}},
+{18306, 18, 82287, {1, 1, 1, 7, 23, 59, 11, 89, 407, 869, 445, 659, 3029, 5465, 5063, 36775, 69089, 205367}},
+{18307, 18, 82323, {1, 3, 7, 5, 19, 35, 99, 49, 257, 287, 1113, 2825, 2797, 7283, 31757, 47015, 106987, 82589}},
+{18308, 18, 82330, {1, 3, 7, 11, 15, 37, 41, 101, 493, 725, 1091, 503, 2611, 13025, 11071, 39311, 5193, 92127}},
+{18309, 18, 82366, {1, 1, 3, 7, 9, 59, 69, 113, 381, 341, 1495, 3169, 5099, 69, 7911, 9721, 84609, 254171}},
+{18310, 18, 82378, {1, 3, 5, 7, 21, 19, 75, 71, 7, 617, 1185, 2787, 4147, 16045, 18859, 52347, 66551, 161563}},
+{18311, 18, 82395, {1, 3, 5, 3, 27, 39, 17, 205, 425, 3, 1443, 1947, 7645, 10125, 24577, 45373, 38015, 30407}},
+{18312, 18, 82398, {1, 3, 3, 11, 1, 57, 105, 251, 65, 389, 1993, 3933, 3093, 1425, 9483, 5953, 13147, 234121}},
+{18313, 18, 82401, {1, 3, 3, 3, 1, 27, 105, 45, 435, 393, 609, 291, 545, 4905, 22621, 62115, 78955, 84355}},
+{18314, 18, 82404, {1, 3, 7, 9, 1, 15, 91, 183, 301, 223, 1183, 1877, 2141, 5549, 371, 44147, 6771, 136777}},
+{18315, 18, 82419, {1, 1, 5, 15, 5, 49, 127, 161, 121, 979, 1247, 3681, 3805, 3363, 11643, 25735, 21193, 111657}},
+{18316, 18, 82421, {1, 3, 5, 15, 15, 33, 47, 91, 137, 323, 1577, 3723, 3609, 11533, 4415, 26467, 120947, 200919}},
+{18317, 18, 82428, {1, 3, 3, 3, 3, 33, 121, 161, 453, 205, 1815, 65, 5893, 4669, 14377, 10905, 9559, 56359}},
+{18318, 18, 82442, {1, 1, 1, 7, 1, 55, 21, 143, 411, 65, 1009, 2989, 133, 7059, 30981, 15417, 2651, 110345}},
+{18319, 18, 82452, {1, 1, 3, 7, 19, 25, 91, 241, 193, 903, 661, 665, 7681, 14111, 29197, 51299, 109519, 155827}},
+{18320, 18, 82455, {1, 1, 1, 15, 25, 3, 79, 57, 417, 73, 705, 7, 4415, 7699, 28185, 53005, 88547, 7281}},
+{18321, 18, 82466, {1, 1, 7, 13, 27, 21, 35, 197, 65, 171, 1773, 393, 3759, 8335, 5987, 20611, 91373, 80715}},
+{18322, 18, 82510, {1, 3, 7, 3, 17, 51, 85, 229, 131, 733, 281, 3157, 1283, 10751, 20203, 49955, 23861, 128517}},
+{18323, 18, 82524, {1, 1, 5, 15, 3, 27, 35, 87, 391, 509, 1627, 769, 701, 4933, 24597, 9695, 111441, 198493}},
+{18324, 18, 82545, {1, 1, 1, 15, 3, 31, 73, 235, 341, 263, 883, 2369, 4887, 4659, 9493, 6763, 130625, 15031}},
+{18325, 18, 82555, {1, 3, 1, 15, 1, 11, 63, 79, 389, 355, 619, 1361, 313, 1199, 555, 42213, 81089, 170863}},
+{18326, 18, 82581, {1, 3, 1, 15, 21, 27, 1, 179, 19, 241, 1655, 1803, 5413, 5353, 65, 31211, 3501, 27205}},
+{18327, 18, 82588, {1, 3, 3, 9, 9, 19, 63, 191, 217, 271, 1453, 2777, 2915, 13291, 31391, 37489, 86435, 22857}},
+{18328, 18, 82591, {1, 3, 5, 9, 13, 41, 85, 11, 333, 479, 363, 2591, 697, 8587, 3647, 5741, 21627, 244573}},
+{18329, 18, 82636, {1, 1, 3, 1, 5, 61, 83, 229, 193, 977, 677, 2585, 3273, 12035, 2621, 12943, 49293, 37985}},
+{18330, 18, 82658, {1, 1, 5, 7, 27, 9, 69, 189, 489, 747, 519, 719, 1493, 13337, 14933, 44359, 11471, 57245}},
+{18331, 18, 82675, {1, 3, 5, 1, 5, 17, 75, 89, 417, 367, 57, 1641, 1573, 1819, 31237, 5213, 78821, 149853}},
+{18332, 18, 82678, {1, 1, 7, 3, 7, 17, 121, 91, 211, 101, 1145, 3753, 2997, 67, 10755, 11261, 122489, 61679}},
+{18333, 18, 82716, {1, 3, 7, 7, 15, 17, 73, 133, 429, 285, 201, 1917, 5677, 1793, 21653, 49729, 68965, 5347}},
+{18334, 18, 82725, {1, 3, 3, 13, 23, 17, 49, 249, 71, 169, 619, 843, 2163, 585, 23309, 39509, 68087, 232233}},
+{18335, 18, 82743, {1, 1, 7, 15, 23, 15, 19, 227, 89, 719, 1247, 2521, 1509, 7553, 12225, 12865, 100107, 261847}},
+{18336, 18, 82744, {1, 1, 5, 3, 23, 17, 117, 5, 401, 57, 1945, 1081, 1269, 5921, 31815, 42341, 112099, 130047}},
+{18337, 18, 82762, {1, 1, 1, 1, 9, 5, 87, 203, 211, 1009, 403, 1617, 3969, 2541, 7261, 6989, 16579, 206159}},
+{18338, 18, 82770, {1, 3, 7, 9, 5, 13, 93, 191, 79, 631, 1019, 3639, 7137, 13859, 19603, 63263, 82947, 181023}},
+{18339, 18, 82809, {1, 1, 5, 11, 25, 17, 85, 51, 61, 311, 517, 2001, 6325, 6831, 10835, 20101, 115241, 15815}},
+{18340, 18, 82846, {1, 3, 7, 13, 29, 19, 33, 115, 473, 477, 471, 773, 4097, 11697, 30781, 20843, 27089, 181927}},
+{18341, 18, 82855, {1, 3, 5, 5, 21, 27, 3, 239, 45, 335, 505, 149, 3005, 3511, 18037, 31291, 6145, 2913}},
+{18342, 18, 82882, {1, 1, 3, 1, 25, 49, 21, 225, 27, 395, 415, 1813, 5727, 7211, 9887, 63533, 99185, 119269}},
+{18343, 18, 82899, {1, 3, 3, 5, 15, 53, 127, 195, 81, 895, 587, 561, 5951, 9901, 18117, 37855, 19393, 259031}},
+{18344, 18, 82905, {1, 1, 7, 13, 9, 49, 109, 127, 53, 735, 391, 1523, 3759, 10363, 11299, 3203, 89121, 122643}},
+{18345, 18, 82950, {1, 1, 5, 3, 13, 3, 21, 247, 259, 557, 977, 1465, 6889, 3879, 4627, 1439, 122809, 248941}},
+{18346, 18, 82953, {1, 3, 7, 15, 7, 19, 113, 251, 245, 63, 267, 1873, 6601, 16253, 24643, 7433, 130051, 233047}},
+{18347, 18, 82967, {1, 1, 3, 9, 29, 39, 47, 31, 493, 817, 1697, 2139, 1059, 11365, 31653, 56477, 119191, 45509}},
+{18348, 18, 82971, {1, 1, 1, 15, 9, 29, 99, 61, 109, 341, 1009, 1551, 897, 13075, 10603, 25153, 65911, 228213}},
+{18349, 18, 82987, {1, 3, 7, 7, 29, 47, 57, 85, 263, 767, 1633, 2473, 199, 49, 22287, 33345, 118877, 248435}},
+{18350, 18, 83007, {1, 3, 1, 9, 5, 45, 5, 179, 9, 129, 1231, 4075, 7497, 2159, 18101, 31039, 95213, 171913}},
+{18351, 18, 83009, {1, 1, 1, 13, 23, 1, 89, 63, 21, 983, 481, 773, 5957, 4823, 4483, 50405, 42979, 243567}},
+{18352, 18, 83012, {1, 1, 5, 13, 15, 21, 65, 133, 347, 511, 1887, 743, 7825, 1681, 4857, 49247, 21277, 212995}},
+{18353, 18, 83030, {1, 3, 7, 9, 7, 51, 3, 233, 287, 727, 815, 3609, 397, 5721, 16473, 7549, 100455, 136233}},
+{18354, 18, 83045, {1, 3, 1, 1, 31, 51, 59, 37, 79, 623, 1219, 2655, 4619, 11967, 11377, 28985, 16069, 188773}},
+{18355, 18, 83050, {1, 3, 3, 13, 13, 59, 93, 159, 197, 339, 1633, 1601, 255, 1631, 4989, 12019, 23921, 261273}},
+{18356, 18, 83052, {1, 1, 3, 13, 27, 25, 55, 43, 147, 981, 65, 725, 5753, 115, 26125, 25501, 89099, 233419}},
+{18357, 18, 83070, {1, 3, 7, 5, 25, 3, 95, 135, 191, 417, 929, 3855, 5829, 3827, 13979, 65367, 63683, 85911}},
+{18358, 18, 83076, {1, 3, 5, 1, 7, 63, 45, 187, 355, 735, 1325, 1461, 3869, 2127, 18231, 45891, 24027, 202997}},
+{18359, 18, 83086, {1, 3, 7, 13, 19, 47, 89, 229, 253, 659, 355, 3323, 4081, 8243, 32553, 46579, 46431, 53291}},
+{18360, 18, 83128, {1, 1, 5, 11, 3, 61, 33, 65, 239, 779, 665, 1337, 6427, 12787, 1495, 27105, 71455, 89715}},
+{18361, 18, 83141, {1, 3, 1, 11, 31, 33, 115, 69, 511, 187, 99, 1055, 1065, 9531, 29897, 23897, 80581, 166957}},
+{18362, 18, 83153, {1, 1, 7, 13, 19, 1, 13, 241, 89, 761, 425, 3865, 961, 14999, 24175, 19103, 39095, 38899}},
+{18363, 18, 83156, {1, 3, 7, 7, 11, 17, 25, 217, 113, 615, 1455, 1409, 5679, 2321, 28687, 8089, 74031, 230559}},
+{18364, 18, 83194, {1, 3, 7, 1, 25, 15, 77, 111, 405, 523, 961, 647, 3857, 14355, 27063, 48829, 87913, 254965}},
+{18365, 18, 83225, {1, 1, 3, 3, 5, 13, 67, 155, 393, 943, 1875, 1209, 3765, 8627, 15123, 43405, 78473, 146127}},
+{18366, 18, 83261, {1, 1, 3, 7, 29, 43, 23, 33, 35, 883, 1859, 1559, 4163, 13277, 16971, 15289, 60305, 56743}},
+{18367, 18, 83264, {1, 1, 1, 5, 19, 55, 37, 53, 123, 35, 1477, 1035, 4683, 259, 20079, 37041, 48081, 198685}},
+{18368, 18, 83322, {1, 1, 3, 3, 1, 19, 27, 129, 427, 685, 959, 2501, 2761, 9495, 23649, 18789, 54521, 219547}},
+{18369, 18, 83382, {1, 1, 7, 1, 31, 11, 65, 171, 229, 11, 1825, 1641, 2731, 11085, 2567, 30831, 20365, 242731}},
+{18370, 18, 83391, {1, 1, 1, 13, 13, 5, 21, 175, 265, 271, 133, 407, 3415, 5943, 15385, 12817, 106159, 41859}},
+{18371, 18, 83399, {1, 3, 7, 1, 11, 45, 105, 229, 395, 877, 1495, 2113, 1733, 10117, 1125, 9989, 109637, 124517}},
+{18372, 18, 83406, {1, 1, 7, 3, 27, 43, 57, 77, 63, 907, 1137, 3333, 189, 15285, 13895, 23773, 73523, 47811}},
+{18373, 18, 83427, {1, 3, 3, 11, 17, 19, 81, 197, 73, 897, 515, 3801, 5105, 6987, 10125, 7239, 32339, 124411}},
+{18374, 18, 83439, {1, 3, 1, 9, 11, 15, 99, 109, 307, 133, 249, 1463, 5479, 8565, 19489, 13773, 11443, 149799}},
+{18375, 18, 83444, {1, 3, 7, 7, 19, 53, 61, 75, 83, 545, 1449, 683, 5845, 8325, 18111, 35941, 51843, 97907}},
+{18376, 18, 83453, {1, 1, 1, 3, 31, 23, 37, 187, 207, 51, 439, 3095, 2217, 6393, 9117, 2779, 47331, 118275}},
+{18377, 18, 83457, {1, 1, 3, 9, 23, 17, 41, 37, 59, 281, 319, 1333, 6207, 2265, 4445, 50831, 115893, 120491}},
+{18378, 18, 83475, {1, 3, 1, 13, 27, 23, 25, 23, 187, 51, 1257, 379, 921, 3801, 24537, 59547, 34191, 184625}},
+{18379, 18, 83484, {1, 1, 5, 3, 23, 21, 23, 159, 163, 537, 1589, 2797, 8007, 6767, 31331, 20741, 119969, 174135}},
+{18380, 18, 83488, {1, 3, 1, 1, 13, 35, 73, 147, 491, 317, 69, 1069, 5413, 13973, 19741, 44717, 63263, 77145}},
+{18381, 18, 83493, {1, 3, 1, 15, 31, 41, 23, 79, 55, 863, 129, 2229, 3395, 1621, 6273, 44521, 100047, 42337}},
+{18382, 18, 83512, {1, 3, 7, 3, 7, 5, 79, 1, 191, 227, 1039, 2909, 1085, 3173, 29311, 13861, 124785, 212453}},
+{18383, 18, 83525, {1, 3, 1, 5, 13, 9, 99, 213, 61, 201, 889, 1171, 3981, 2091, 31679, 26643, 5611, 154339}},
+{18384, 18, 83535, {1, 3, 3, 7, 27, 49, 53, 77, 285, 441, 1669, 2157, 223, 1899, 2725, 36547, 39273, 206653}},
+{18385, 18, 83560, {1, 3, 3, 9, 29, 5, 91, 1, 13, 409, 1275, 891, 6557, 5157, 6481, 57381, 87683, 117277}},
+{18386, 18, 83617, {1, 3, 3, 1, 11, 7, 13, 69, 9, 1015, 907, 2685, 6665, 16307, 24567, 13191, 9567, 55073}},
+{18387, 18, 83664, {1, 3, 1, 5, 19, 15, 65, 13, 503, 427, 1947, 1869, 5857, 823, 20533, 25337, 83551, 128505}},
+{18388, 18, 83676, {1, 1, 5, 11, 25, 53, 83, 175, 445, 5, 841, 2773, 4381, 2829, 1927, 63689, 63643, 246629}},
+{18389, 18, 83757, {1, 3, 1, 11, 27, 63, 43, 95, 453, 235, 673, 117, 6617, 7589, 5767, 16465, 36961, 39395}},
+{18390, 18, 83770, {1, 1, 3, 13, 3, 27, 119, 87, 209, 167, 721, 1499, 1955, 9151, 11649, 29009, 25249, 26125}},
+{18391, 18, 83775, {1, 1, 5, 1, 9, 59, 47, 57, 81, 243, 485, 559, 7311, 15119, 9827, 47219, 5941, 16909}},
+{18392, 18, 83835, {1, 3, 7, 11, 29, 13, 97, 63, 289, 653, 1811, 835, 801, 13103, 9333, 7785, 111587, 10021}},
+{18393, 18, 83838, {1, 3, 3, 1, 27, 61, 73, 165, 279, 239, 865, 517, 7763, 1917, 9839, 20725, 50721, 171351}},
+{18394, 18, 83848, {1, 3, 7, 1, 27, 29, 43, 137, 353, 927, 889, 2511, 709, 3309, 967, 18119, 48099, 98139}},
+{18395, 18, 83856, {1, 3, 1, 1, 17, 5, 79, 23, 367, 231, 605, 3809, 7557, 14283, 18417, 15775, 107421, 9587}},
+{18396, 18, 83878, {1, 1, 1, 7, 25, 9, 93, 41, 165, 509, 661, 2165, 3595, 2555, 11399, 2403, 76179, 176003}},
+{18397, 18, 83884, {1, 3, 3, 7, 27, 19, 55, 213, 83, 601, 377, 2381, 6831, 5609, 31321, 26897, 105321, 144705}},
+{18398, 18, 83896, {1, 3, 7, 7, 21, 11, 45, 55, 379, 133, 653, 3593, 7481, 15789, 12723, 9697, 20073, 58211}},
+{18399, 18, 83902, {1, 3, 5, 1, 1, 57, 89, 159, 461, 719, 1251, 3899, 1063, 10753, 6509, 28391, 129377, 195279}},
+{18400, 18, 83922, {1, 3, 7, 7, 5, 39, 59, 81, 27, 169, 1541, 2213, 3631, 11601, 13153, 43221, 14587, 29719}},
+{18401, 18, 83977, {1, 1, 1, 1, 3, 29, 103, 125, 35, 455, 255, 3855, 567, 12013, 13285, 44753, 117415, 226285}},
+{18402, 18, 83985, {1, 1, 5, 1, 21, 41, 59, 69, 83, 813, 1041, 2559, 1947, 7343, 5291, 39281, 56141, 54487}},
+{18403, 18, 83988, {1, 1, 7, 15, 25, 17, 83, 115, 321, 659, 1625, 3253, 281, 6673, 26301, 45647, 92151, 150707}},
+{18404, 18, 84034, {1, 1, 5, 15, 9, 19, 83, 167, 325, 869, 501, 483, 2155, 14697, 12755, 54687, 100637, 6791}},
+{18405, 18, 84046, {1, 1, 7, 3, 3, 47, 91, 79, 347, 215, 847, 2957, 5881, 5371, 20099, 45603, 29349, 175357}},
+{18406, 18, 84058, {1, 3, 1, 3, 13, 43, 101, 235, 505, 289, 691, 673, 5579, 8721, 9639, 18569, 44797, 250887}},
+{18407, 18, 84069, {1, 1, 3, 11, 23, 27, 85, 223, 365, 767, 577, 2781, 4179, 12963, 25235, 51021, 84989, 149521}},
+{18408, 18, 84107, {1, 1, 1, 1, 9, 51, 13, 129, 393, 725, 1301, 1391, 4693, 4979, 16801, 21361, 122157, 56675}},
+{18409, 18, 84155, {1, 3, 5, 11, 7, 21, 97, 97, 17, 915, 255, 155, 3961, 7999, 7493, 52683, 49377, 131663}},
+{18410, 18, 84157, {1, 3, 5, 15, 31, 23, 41, 187, 89, 933, 309, 2519, 6595, 13785, 14339, 44393, 64439, 142105}},
+{18411, 18, 84160, {1, 1, 1, 11, 13, 57, 29, 249, 467, 863, 77, 3185, 6221, 13109, 32397, 13859, 27331, 35295}},
+{18412, 18, 84165, {1, 3, 3, 3, 23, 31, 29, 189, 405, 855, 1597, 3167, 4171, 13801, 12297, 38019, 130141, 135517}},
+{18413, 18, 84187, {1, 1, 5, 7, 13, 37, 87, 41, 503, 281, 103, 1997, 3603, 4185, 25331, 55123, 74263, 248695}},
+{18414, 18, 84214, {1, 3, 1, 15, 13, 57, 67, 135, 429, 489, 829, 2069, 7657, 15713, 3907, 5819, 114005, 187859}},
+{18415, 18, 84226, {1, 1, 3, 1, 23, 43, 93, 63, 5, 435, 1649, 1429, 2923, 9035, 28667, 13991, 74491, 236225}},
+{18416, 18, 84235, {1, 3, 3, 7, 19, 29, 37, 143, 443, 955, 1431, 3193, 6023, 2421, 28955, 29171, 126785, 124709}},
+{18417, 18, 84240, {1, 3, 7, 7, 23, 45, 59, 101, 25, 711, 1685, 851, 3101, 12273, 10775, 57633, 52739, 244681}},
+{18418, 18, 84255, {1, 1, 1, 5, 3, 13, 97, 143, 367, 139, 1535, 873, 8005, 2795, 11103, 3837, 125833, 194903}},
+{18419, 18, 84273, {1, 3, 5, 7, 23, 61, 61, 203, 443, 543, 573, 2835, 941, 12315, 18453, 34367, 94359, 132437}},
+{18420, 18, 84291, {1, 1, 7, 5, 11, 21, 87, 27, 495, 67, 1267, 2029, 5041, 4133, 18821, 50249, 52397, 101431}},
+{18421, 18, 84311, {1, 3, 3, 3, 13, 51, 89, 183, 61, 919, 1841, 373, 7091, 9413, 1227, 44515, 72869, 198769}},
+{18422, 18, 84317, {1, 3, 3, 11, 13, 63, 13, 253, 203, 571, 91, 3477, 123, 15353, 7803, 62729, 14337, 252725}},
+{18423, 18, 84328, {1, 1, 7, 1, 11, 57, 45, 251, 351, 895, 1813, 3857, 7545, 9739, 32029, 24915, 46261, 8149}},
+{18424, 18, 84346, {1, 3, 1, 15, 25, 41, 71, 47, 265, 567, 307, 4079, 1943, 10407, 2999, 6605, 97621, 194711}},
+{18425, 18, 84357, {1, 1, 3, 5, 17, 29, 97, 249, 449, 761, 1727, 1533, 7417, 16167, 421, 39075, 1029, 180923}},
+{18426, 18, 84361, {1, 1, 1, 3, 11, 27, 67, 227, 131, 453, 951, 3897, 515, 4513, 17361, 50049, 4533, 35953}},
+{18427, 18, 84372, {1, 1, 1, 13, 7, 53, 25, 163, 453, 195, 1115, 1019, 3799, 7489, 12419, 15141, 112001, 106459}},
+{18428, 18, 84388, {1, 1, 3, 9, 27, 15, 63, 109, 293, 867, 645, 1821, 2867, 9653, 32617, 39617, 125589, 249169}},
+{18429, 18, 84415, {1, 1, 7, 5, 19, 17, 15, 105, 65, 143, 961, 493, 7301, 11299, 4549, 49873, 82447, 107}},
+{18430, 18, 84438, {1, 1, 7, 1, 31, 21, 19, 61, 255, 815, 421, 3097, 4993, 9709, 11529, 53839, 32653, 137861}},
+{18431, 18, 84444, {1, 3, 1, 9, 5, 5, 59, 179, 115, 101, 407, 1143, 309, 843, 31143, 60639, 126659, 111695}},
+{18432, 18, 84447, {1, 3, 7, 13, 7, 47, 65, 127, 159, 817, 1029, 2983, 5443, 11087, 10595, 47143, 128353, 195189}},
+{18433, 18, 84451, {1, 3, 7, 1, 27, 21, 61, 235, 433, 929, 581, 1925, 8185, 6037, 28859, 16843, 43499, 217091}},
+{18434, 18, 84465, {1, 3, 7, 11, 1, 11, 81, 187, 227, 967, 25, 2285, 1251, 10743, 2321, 29029, 89739, 188023}},
+{18435, 18, 84471, {1, 3, 5, 11, 21, 25, 57, 201, 89, 965, 1593, 2879, 2469, 13675, 28789, 11407, 13109, 52749}},
+{18436, 18, 84496, {1, 3, 3, 3, 19, 25, 87, 3, 127, 881, 645, 207, 1129, 4235, 1533, 52503, 128733, 238679}},
+{18437, 18, 84554, {1, 3, 3, 1, 5, 5, 63, 181, 493, 457, 1529, 1795, 219, 10807, 26713, 49673, 47167, 103595}},
+{18438, 18, 84561, {1, 1, 3, 3, 1, 31, 65, 79, 473, 257, 1477, 387, 2843, 4031, 8459, 44849, 115157, 8417}},
+{18439, 18, 84571, {1, 3, 3, 5, 15, 1, 105, 67, 343, 333, 1961, 649, 5105, 11387, 27437, 35471, 26295, 220309}},
+{18440, 18, 84580, {1, 3, 7, 15, 1, 7, 23, 113, 67, 1019, 1793, 3237, 7223, 5691, 6279, 50231, 49393, 84393}},
+{18441, 18, 84598, {1, 1, 1, 7, 9, 29, 125, 249, 89, 813, 561, 871, 1957, 1095, 18563, 5257, 39563, 225651}},
+{18442, 18, 84611, {1, 1, 1, 15, 17, 11, 51, 191, 217, 617, 793, 3633, 4673, 15463, 10621, 47221, 51611, 155937}},
+{18443, 18, 84620, {1, 3, 7, 15, 13, 7, 63, 57, 45, 1005, 685, 2913, 3597, 9933, 14819, 26015, 80023, 60547}},
+{18444, 18, 84625, {1, 1, 5, 5, 31, 43, 69, 63, 425, 439, 143, 933, 675, 11301, 31779, 53445, 25143, 213213}},
+{18445, 18, 84632, {1, 1, 1, 5, 21, 9, 91, 89, 483, 153, 389, 7, 633, 15527, 21833, 45171, 88331, 150935}},
+{18446, 18, 84648, {1, 3, 5, 5, 11, 31, 49, 139, 295, 289, 1623, 3359, 7551, 11285, 25083, 27699, 91869, 237571}},
+{18447, 18, 84659, {1, 1, 1, 9, 9, 25, 55, 71, 51, 603, 1901, 2729, 6803, 11135, 5427, 37285, 69141, 262073}},
+{18448, 18, 84662, {1, 1, 3, 11, 3, 7, 81, 89, 49, 303, 755, 223, 603, 12525, 26037, 47867, 118871, 238677}},
+{18449, 18, 84683, {1, 3, 3, 11, 1, 53, 55, 15, 341, 151, 245, 1979, 3523, 15151, 25075, 21425, 48689, 125391}},
+{18450, 18, 84697, {1, 3, 3, 7, 15, 21, 73, 247, 215, 339, 1995, 633, 2557, 5625, 28443, 16413, 34615, 260591}},
+{18451, 18, 84698, {1, 3, 5, 1, 1, 59, 21, 247, 403, 15, 1129, 2263, 3361, 10675, 30417, 31285, 69913, 124329}},
+{18452, 18, 84709, {1, 1, 5, 1, 17, 3, 103, 107, 333, 191, 345, 3219, 3845, 5953, 26403, 51115, 71623, 52293}},
+{18453, 18, 84722, {1, 1, 7, 5, 29, 13, 59, 65, 185, 91, 717, 3179, 1237, 1187, 25485, 40119, 6069, 23567}},
+{18454, 18, 84753, {1, 1, 1, 5, 17, 57, 27, 39, 269, 627, 1239, 135, 623, 483, 19229, 51939, 114387, 146431}},
+{18455, 18, 84775, {1, 3, 7, 9, 21, 41, 119, 129, 177, 149, 1527, 3639, 4489, 11635, 23007, 59863, 85199, 87795}},
+{18456, 18, 84789, {1, 3, 5, 9, 17, 25, 57, 237, 129, 855, 199, 1929, 2793, 4277, 4509, 46301, 32905, 102015}},
+{18457, 18, 84885, {1, 1, 7, 1, 15, 23, 3, 131, 475, 347, 1301, 241, 153, 2801, 29271, 1337, 107613, 154105}},
+{18458, 18, 84890, {1, 1, 1, 13, 5, 19, 43, 47, 381, 709, 637, 2565, 7503, 10027, 16873, 23511, 101785, 47987}},
+{18459, 18, 84899, {1, 1, 5, 13, 31, 15, 125, 97, 361, 819, 121, 2723, 3395, 6943, 5279, 55977, 103559, 134177}},
+{18460, 18, 84926, {1, 1, 7, 13, 17, 27, 105, 11, 327, 203, 1355, 1437, 959, 10113, 7405, 43511, 114073, 199463}},
+{18461, 18, 84946, {1, 1, 7, 5, 29, 19, 7, 151, 107, 739, 1021, 1287, 6881, 2741, 3407, 13847, 75669, 116015}},
+{18462, 18, 84958, {1, 1, 1, 5, 5, 17, 99, 67, 179, 319, 149, 4069, 7811, 3055, 24669, 21635, 68057, 72059}},
+{18463, 18, 84976, {1, 3, 1, 11, 3, 3, 103, 45, 431, 159, 1693, 1069, 3403, 6121, 12695, 16565, 29787, 199327}},
+{18464, 18, 84979, {1, 1, 5, 5, 5, 35, 97, 9, 7, 703, 1533, 847, 7693, 16041, 13127, 26829, 68801, 205219}},
+{18465, 18, 85003, {1, 1, 5, 9, 25, 59, 3, 63, 305, 71, 1429, 1567, 2377, 12611, 9267, 62381, 32373, 187735}},
+{18466, 18, 85014, {1, 1, 3, 15, 5, 31, 21, 113, 329, 573, 1975, 1615, 947, 987, 4655, 46803, 100251, 89729}},
+{18467, 18, 85017, {1, 1, 5, 9, 15, 63, 83, 5, 71, 191, 1127, 3529, 7325, 1169, 4255, 6715, 42765, 73231}},
+{18468, 18, 85024, {1, 3, 3, 9, 11, 1, 1, 23, 97, 967, 1465, 1305, 2073, 3143, 31333, 1409, 95321, 182333}},
+{18469, 18, 85029, {1, 3, 5, 13, 21, 53, 47, 105, 75, 721, 239, 3619, 2581, 2063, 21227, 25579, 23729, 20067}},
+{18470, 18, 85036, {1, 3, 5, 13, 1, 55, 55, 115, 391, 539, 869, 3347, 189, 11087, 11533, 18747, 25387, 19205}},
+{18471, 18, 85042, {1, 3, 1, 15, 25, 57, 81, 27, 379, 635, 1697, 2805, 8071, 11407, 14843, 17593, 20819, 42891}},
+{18472, 18, 85054, {1, 3, 5, 11, 1, 59, 51, 187, 11, 211, 1425, 3829, 3193, 15743, 16479, 4205, 108205, 205367}},
+{18473, 18, 85056, {1, 1, 1, 5, 7, 7, 59, 85, 63, 509, 897, 2473, 7345, 111, 4431, 55273, 114037, 232541}},
+{18474, 18, 85061, {1, 1, 5, 9, 29, 7, 25, 41, 401, 843, 115, 163, 6835, 13943, 5223, 31033, 10813, 250471}},
+{18475, 18, 85066, {1, 1, 5, 11, 27, 45, 43, 233, 195, 151, 11, 1539, 4775, 15743, 15507, 26939, 30353, 162929}},
+{18476, 18, 85073, {1, 3, 1, 7, 7, 39, 1, 87, 85, 1019, 1711, 2707, 735, 5093, 8231, 25069, 102861, 45751}},
+{18477, 18, 85096, {1, 3, 7, 1, 19, 49, 55, 249, 255, 809, 1799, 3475, 7697, 5003, 12437, 52313, 96355, 138537}},
+{18478, 18, 85101, {1, 1, 3, 5, 5, 43, 25, 95, 349, 775, 213, 3643, 1355, 7745, 9553, 53367, 123655, 195365}},
+{18479, 18, 85109, {1, 1, 1, 1, 19, 53, 39, 105, 449, 447, 147, 2293, 7817, 1503, 31985, 37193, 51039, 209083}},
+{18480, 18, 85114, {1, 3, 3, 15, 27, 15, 59, 51, 411, 543, 421, 3595, 2091, 7171, 23595, 33509, 37283, 105719}},
+{18481, 18, 85119, {1, 3, 1, 11, 5, 37, 5, 203, 171, 853, 1875, 2735, 4003, 15163, 26193, 36149, 31389, 256631}},
+{18482, 18, 85123, {1, 3, 5, 1, 21, 1, 127, 41, 185, 929, 1757, 2711, 2947, 9709, 18401, 45037, 1371, 242397}},
+{18483, 18, 85149, {1, 1, 1, 1, 13, 43, 51, 187, 487, 759, 1579, 959, 2499, 4781, 27179, 6839, 43869, 36163}},
+{18484, 18, 85185, {1, 3, 1, 15, 5, 3, 101, 25, 181, 107, 1105, 879, 5341, 12215, 21615, 9619, 129591, 108393}},
+{18485, 18, 85228, {1, 1, 7, 1, 11, 39, 55, 101, 43, 935, 1703, 1269, 6751, 13723, 7463, 10055, 112971, 72789}},
+{18486, 18, 85236, {1, 3, 5, 13, 7, 3, 81, 41, 55, 375, 663, 801, 5051, 14583, 30793, 63897, 127255, 174179}},
+{18487, 18, 85281, {1, 3, 1, 7, 19, 31, 53, 29, 313, 57, 1411, 103, 6863, 10673, 4341, 5587, 106059, 222309}},
+{18488, 18, 85282, {1, 3, 7, 3, 1, 33, 89, 199, 91, 557, 715, 2715, 4753, 5987, 30355, 13819, 57443, 112179}},
+{18489, 18, 85293, {1, 3, 5, 7, 13, 27, 55, 11, 495, 29, 1273, 1727, 3397, 2739, 22907, 46203, 16687, 47385}},
+{18490, 18, 85302, {1, 3, 5, 9, 13, 23, 23, 107, 353, 429, 359, 2667, 6137, 7213, 7977, 35903, 118507, 209243}},
+{18491, 18, 85319, {1, 3, 1, 13, 9, 7, 37, 135, 377, 753, 1819, 113, 7379, 2795, 10373, 7131, 17845, 246101}},
+{18492, 18, 85353, {1, 1, 3, 11, 11, 45, 53, 209, 49, 385, 1573, 1129, 2939, 10949, 413, 59193, 15399, 169355}},
+{18493, 18, 85354, {1, 1, 5, 15, 29, 29, 89, 139, 403, 11, 1335, 2601, 3631, 15317, 1707, 3517, 1939, 121997}},
+{18494, 18, 85356, {1, 3, 1, 7, 17, 3, 113, 97, 435, 911, 1743, 1649, 4829, 9995, 2873, 17527, 46931, 86199}},
+{18495, 18, 85389, {1, 1, 7, 1, 13, 19, 83, 51, 49, 671, 1651, 3443, 2279, 5677, 8859, 41945, 110607, 200469}},
+{18496, 18, 85418, {1, 1, 5, 13, 19, 63, 19, 73, 205, 571, 507, 1781, 1489, 5909, 10351, 64607, 67023, 49441}},
+{18497, 18, 85446, {1, 1, 3, 5, 13, 35, 107, 63, 489, 69, 1541, 3761, 17, 9317, 20323, 35401, 61451, 116115}},
+{18498, 18, 85450, {1, 3, 1, 5, 31, 35, 39, 119, 237, 533, 107, 3235, 4929, 15839, 9309, 50131, 110945, 24739}},
+{18499, 18, 85463, {1, 3, 1, 5, 3, 25, 73, 145, 391, 481, 1927, 3071, 4347, 13415, 26723, 51629, 3003, 54575}},
+{18500, 18, 85497, {1, 3, 3, 11, 29, 63, 63, 183, 11, 269, 153, 3379, 5603, 14279, 28579, 4653, 98179, 125693}},
+{18501, 18, 85534, {1, 1, 5, 15, 1, 51, 101, 69, 177, 233, 213, 2389, 4963, 3391, 13419, 41283, 25667, 187239}},
+{18502, 18, 85543, {1, 1, 1, 11, 13, 29, 95, 231, 481, 283, 1323, 521, 4689, 5311, 21949, 31851, 115845, 50433}},
+{18503, 18, 85549, {1, 3, 7, 15, 11, 31, 67, 207, 57, 439, 1561, 2167, 673, 6467, 8189, 31783, 5051, 64097}},
+{18504, 18, 85562, {1, 1, 7, 9, 17, 57, 77, 85, 119, 149, 211, 2727, 4921, 8701, 23121, 36355, 9179, 68003}},
+{18505, 18, 85587, {1, 1, 5, 15, 1, 15, 123, 205, 79, 299, 71, 3413, 7635, 5699, 32393, 10253, 86205, 216015}},
+{18506, 18, 85590, {1, 1, 5, 11, 23, 39, 105, 187, 487, 247, 333, 2423, 5643, 8111, 23549, 50153, 122859, 100361}},
+{18507, 18, 85599, {1, 1, 1, 9, 11, 33, 65, 125, 67, 743, 1331, 1563, 6333, 11375, 15873, 18137, 52765, 224889}},
+{18508, 18, 85630, {1, 3, 5, 9, 15, 17, 81, 165, 3, 609, 635, 2093, 6635, 8647, 25883, 18907, 73333, 80835}},
+{18509, 18, 85660, {1, 1, 1, 11, 1, 1, 25, 115, 205, 941, 1917, 1295, 3659, 821, 11355, 1435, 40289, 115627}},
+{18510, 18, 85669, {1, 3, 1, 9, 13, 23, 35, 105, 441, 777, 1255, 3315, 1157, 8719, 9939, 38931, 120723, 123201}},
+{18511, 18, 85693, {1, 1, 5, 3, 1, 21, 95, 143, 23, 233, 73, 1223, 5619, 8583, 21417, 61971, 74565, 116249}},
+{18512, 18, 85711, {1, 1, 7, 7, 23, 35, 21, 201, 441, 623, 419, 2375, 1189, 15681, 29469, 29437, 124525, 241899}},
+{18513, 18, 85716, {1, 1, 3, 1, 11, 7, 23, 171, 435, 467, 1811, 63, 3705, 9395, 579, 58305, 86165, 67805}},
+{18514, 18, 85773, {1, 3, 1, 3, 13, 11, 107, 243, 163, 79, 815, 1149, 2247, 12411, 30287, 56915, 26939, 85883}},
+{18515, 18, 85801, {1, 3, 3, 1, 5, 23, 105, 63, 35, 57, 1815, 3325, 3727, 3623, 7203, 8301, 28073, 190053}},
+{18516, 18, 85815, {1, 3, 1, 11, 23, 33, 121, 55, 287, 139, 491, 907, 4237, 17, 20055, 63729, 7517, 151597}},
+{18517, 18, 85839, {1, 3, 5, 5, 21, 1, 37, 19, 159, 1013, 27, 2627, 851, 14021, 31311, 5871, 77613, 125311}},
+{18518, 18, 85842, {1, 3, 3, 1, 27, 3, 51, 133, 459, 581, 383, 1351, 6149, 15611, 2631, 20797, 65955, 113665}},
+{18519, 18, 85864, {1, 3, 1, 11, 23, 61, 75, 217, 283, 405, 767, 1151, 7501, 5553, 113, 48331, 49379, 191473}},
+{18520, 18, 85867, {1, 3, 5, 5, 15, 3, 19, 27, 497, 519, 1611, 709, 405, 13329, 27861, 14981, 47197, 173979}},
+{18521, 18, 85903, {1, 1, 7, 7, 25, 19, 99, 219, 349, 713, 1421, 3427, 153, 13319, 22415, 48617, 119637, 20835}},
+{18522, 18, 85917, {1, 1, 1, 3, 13, 37, 43, 9, 317, 961, 1255, 2975, 2775, 12283, 29941, 57495, 77413, 256695}},
+{18523, 18, 85921, {1, 1, 7, 5, 29, 37, 91, 199, 397, 739, 877, 251, 847, 2951, 19497, 57285, 76891, 258711}},
+{18524, 18, 85928, {1, 1, 7, 15, 21, 55, 107, 115, 481, 845, 2015, 481, 3823, 14071, 4037, 39687, 62867, 170891}},
+{18525, 18, 85934, {1, 3, 3, 1, 17, 51, 81, 195, 189, 455, 1343, 1493, 351, 361, 20289, 37423, 7747, 245861}},
+{18526, 18, 85974, {1, 1, 5, 15, 9, 41, 71, 155, 197, 563, 1271, 2227, 2557, 6657, 13565, 8467, 96135, 5903}},
+{18527, 18, 85994, {1, 1, 5, 13, 29, 33, 115, 131, 283, 435, 1327, 1113, 4729, 14125, 23743, 40121, 119955, 237453}},
+{18528, 18, 85999, {1, 1, 1, 1, 13, 21, 109, 91, 105, 749, 1695, 1123, 4349, 9855, 31565, 64001, 7919, 83591}},
+{18529, 18, 86004, {1, 3, 1, 1, 13, 19, 89, 83, 13, 609, 731, 2655, 1123, 13415, 5645, 10003, 69381, 187621}},
+{18530, 18, 86008, {1, 3, 1, 15, 3, 37, 1, 139, 11, 917, 1191, 1381, 6035, 13851, 4565, 5427, 117703, 109965}},
+{18531, 18, 86046, {1, 1, 5, 3, 17, 37, 15, 115, 19, 65, 1807, 3879, 2709, 9819, 11457, 53705, 14821, 156079}},
+{18532, 18, 86067, {1, 1, 7, 13, 17, 29, 105, 77, 127, 457, 1287, 1533, 6879, 4001, 4083, 29523, 81175, 226409}},
+{18533, 18, 86084, {1, 3, 1, 5, 5, 59, 21, 253, 459, 733, 409, 3359, 1913, 8893, 16113, 61063, 6511, 22441}},
+{18534, 18, 86087, {1, 3, 5, 11, 7, 1, 121, 217, 63, 83, 173, 1869, 7931, 655, 21053, 20703, 116853, 131785}},
+{18535, 18, 86093, {1, 1, 7, 7, 5, 13, 41, 57, 1, 17, 649, 233, 2867, 5577, 30553, 7635, 45305, 47979}},
+{18536, 18, 86121, {1, 1, 7, 1, 1, 29, 61, 241, 107, 891, 49, 3433, 5045, 143, 22473, 29243, 82625, 184163}},
+{18537, 18, 86122, {1, 3, 1, 11, 11, 21, 119, 43, 117, 429, 1569, 637, 67, 9475, 31779, 2237, 122037, 245361}},
+{18538, 18, 86127, {1, 1, 7, 1, 31, 61, 9, 179, 467, 153, 1913, 2839, 6255, 12715, 28229, 20189, 3617, 213539}},
+{18539, 18, 86151, {1, 1, 7, 13, 25, 61, 9, 109, 331, 577, 21, 1017, 6521, 5991, 26573, 56881, 58455, 169407}},
+{18540, 18, 86166, {1, 1, 7, 9, 31, 57, 51, 41, 327, 859, 1295, 1577, 1071, 3277, 11685, 62129, 34111, 174639}},
+{18541, 18, 86179, {1, 3, 5, 1, 7, 63, 35, 165, 43, 943, 1545, 3717, 1471, 11579, 29637, 22913, 8867, 12837}},
+{18542, 18, 86188, {1, 1, 3, 1, 23, 7, 19, 151, 359, 347, 1085, 3923, 1039, 5149, 6047, 49811, 33099, 247983}},
+{18543, 18, 86193, {1, 1, 1, 5, 29, 23, 73, 189, 59, 865, 1499, 1953, 1261, 1071, 26761, 26145, 129427, 223219}},
+{18544, 18, 86206, {1, 3, 1, 9, 1, 29, 107, 173, 387, 703, 193, 1965, 6233, 10997, 32697, 31005, 15415, 94345}},
+{18545, 18, 86214, {1, 1, 3, 9, 31, 35, 7, 15, 317, 79, 2045, 1455, 1559, 15087, 287, 46665, 37225, 149017}},
+{18546, 18, 86226, {1, 1, 5, 13, 17, 27, 11, 107, 47, 803, 1487, 3049, 1171, 6237, 9157, 10037, 122349, 236877}},
+{18547, 18, 86242, {1, 1, 7, 9, 21, 35, 53, 139, 165, 73, 1405, 2941, 3553, 11945, 2493, 5743, 63749, 140535}},
+{18548, 18, 86256, {1, 3, 7, 11, 7, 57, 41, 187, 483, 499, 687, 117, 4951, 14709, 17025, 23027, 94863, 228465}},
+{18549, 18, 86259, {1, 3, 7, 7, 27, 29, 85, 117, 201, 637, 823, 1135, 7595, 3323, 23579, 40759, 25087, 995}},
+{18550, 18, 86298, {1, 3, 1, 9, 31, 53, 101, 29, 381, 101, 1939, 1973, 8191, 8155, 13881, 32309, 92907, 239525}},
+{18551, 18, 86300, {1, 1, 5, 7, 3, 35, 15, 207, 1, 47, 325, 559, 3377, 3909, 31225, 28367, 63891, 19129}},
+{18552, 18, 86307, {1, 1, 1, 5, 31, 61, 117, 211, 127, 969, 73, 1295, 7167, 14881, 9965, 28143, 28161, 131867}},
+{18553, 18, 86310, {1, 3, 7, 5, 5, 57, 37, 207, 201, 79, 1151, 3685, 2071, 1751, 5481, 51447, 103437, 154895}},
+{18554, 18, 86319, {1, 3, 5, 13, 9, 5, 57, 27, 131, 211, 1481, 2237, 4227, 6927, 18625, 49773, 55399, 15209}},
+{18555, 18, 86321, {1, 3, 1, 7, 23, 29, 3, 179, 479, 787, 463, 2041, 2581, 6281, 1657, 51433, 93807, 160047}},
+{18556, 18, 86328, {1, 1, 3, 13, 25, 35, 33, 231, 385, 479, 335, 3837, 5517, 13603, 15623, 46737, 42507, 208355}},
+{18557, 18, 86356, {1, 1, 7, 9, 3, 25, 51, 125, 213, 175, 1575, 1755, 1843, 14361, 13155, 22445, 55435, 62793}},
+{18558, 18, 86360, {1, 1, 1, 7, 25, 3, 21, 7, 309, 547, 19, 471, 2679, 16185, 12149, 41437, 47625, 75113}},
+{18559, 18, 86375, {1, 1, 5, 1, 9, 23, 81, 95, 123, 143, 1111, 9, 3501, 11897, 26499, 10009, 48073, 182529}},
+{18560, 18, 86399, {1, 3, 1, 1, 1, 17, 15, 157, 129, 1005, 543, 3917, 3493, 6537, 26997, 33217, 7987, 251635}},
+{18561, 18, 86400, {1, 3, 1, 13, 11, 41, 9, 19, 173, 751, 491, 1645, 5205, 9907, 28503, 61137, 79727, 200851}},
+{18562, 18, 86403, {1, 1, 1, 1, 3, 5, 105, 203, 97, 903, 1507, 2719, 5275, 1023, 29595, 42507, 39893, 151495}},
+{18563, 18, 86430, {1, 1, 1, 11, 31, 53, 51, 65, 145, 671, 489, 109, 803, 8541, 4439, 33893, 98495, 114955}},
+{18564, 18, 86446, {1, 1, 7, 11, 27, 63, 117, 235, 497, 841, 1461, 3757, 1077, 6997, 9611, 47453, 20197, 176939}},
+{18565, 18, 86460, {1, 3, 3, 3, 31, 17, 85, 145, 377, 225, 1033, 3017, 735, 5811, 25503, 25457, 124623, 51713}},
+{18566, 18, 86465, {1, 3, 3, 13, 19, 33, 127, 57, 321, 687, 1651, 3321, 5051, 8511, 19609, 49927, 30499, 102613}},
+{18567, 18, 86486, {1, 1, 5, 13, 7, 17, 17, 147, 381, 137, 1007, 2607, 1071, 8921, 13955, 47223, 130359, 246265}},
+{18568, 18, 86502, {1, 3, 7, 9, 13, 35, 71, 129, 57, 233, 357, 3181, 2841, 3707, 24947, 57777, 115133, 6049}},
+{18569, 18, 86563, {1, 3, 7, 15, 23, 1, 107, 225, 57, 633, 1515, 1631, 4303, 4221, 8281, 59139, 45023, 70219}},
+{18570, 18, 86595, {1, 1, 7, 5, 9, 9, 93, 131, 41, 245, 1261, 459, 4811, 10987, 10421, 63839, 34067, 196353}},
+{18571, 18, 86635, {1, 3, 3, 13, 17, 3, 87, 255, 167, 701, 821, 1965, 1415, 4101, 549, 6347, 92421, 47193}},
+{18572, 18, 86649, {1, 3, 7, 11, 23, 17, 51, 81, 71, 345, 971, 917, 1057, 3627, 20361, 13491, 12855, 234215}},
+{18573, 18, 86661, {1, 1, 1, 13, 17, 9, 25, 155, 463, 851, 243, 3887, 2445, 7459, 19915, 21813, 86969, 85891}},
+{18574, 18, 86674, {1, 1, 7, 1, 9, 15, 57, 201, 193, 169, 351, 1355, 1089, 4705, 15153, 51359, 49907, 66007}},
+{18575, 18, 86689, {1, 3, 1, 9, 19, 13, 69, 83, 39, 667, 1549, 1503, 7167, 8657, 17269, 59357, 80091, 194007}},
+{18576, 18, 86721, {1, 3, 5, 5, 17, 37, 125, 117, 355, 685, 637, 3159, 4783, 3159, 14953, 12731, 126759, 89149}},
+{18577, 18, 86734, {1, 3, 3, 9, 15, 53, 7, 41, 473, 857, 511, 3741, 6837, 6167, 26351, 9885, 104819, 48221}},
+{18578, 18, 86741, {1, 3, 7, 15, 21, 21, 21, 101, 465, 223, 13, 1773, 2763, 8621, 23591, 12633, 82143, 134899}},
+{18579, 18, 86742, {1, 3, 1, 1, 29, 25, 67, 19, 349, 503, 655, 3567, 97, 6967, 18253, 42755, 33041, 250279}},
+{18580, 18, 86784, {1, 1, 7, 9, 17, 1, 7, 165, 255, 613, 579, 127, 7567, 13181, 6255, 1785, 21527, 113815}},
+{18581, 18, 86799, {1, 3, 1, 5, 27, 33, 61, 235, 37, 135, 1515, 3611, 1825, 9627, 18805, 37065, 126107, 23223}},
+{18582, 18, 86808, {1, 3, 7, 5, 23, 11, 29, 121, 129, 311, 429, 1653, 5789, 7693, 18775, 18189, 97203, 213501}},
+{18583, 18, 86837, {1, 3, 7, 3, 29, 61, 87, 197, 43, 509, 5, 3275, 345, 7885, 4381, 22059, 1395, 40125}},
+{18584, 18, 86869, {1, 3, 5, 1, 1, 59, 69, 125, 297, 983, 641, 2665, 7045, 8591, 16581, 58657, 119189, 256579}},
+{18585, 18, 86900, {1, 3, 7, 7, 7, 53, 65, 181, 149, 987, 1377, 4045, 971, 9827, 17727, 59357, 90975, 27395}},
+{18586, 18, 86949, {1, 1, 7, 7, 1, 51, 109, 165, 361, 515, 739, 3709, 6431, 113, 21401, 41743, 53071, 134205}},
+{18587, 18, 86993, {1, 3, 1, 13, 5, 51, 107, 99, 135, 163, 1705, 1683, 6221, 1377, 2211, 13379, 22801, 208753}},
+{18588, 18, 86999, {1, 3, 5, 11, 11, 39, 49, 45, 503, 549, 821, 4077, 885, 13721, 29673, 28435, 6235, 212071}},
+{18589, 18, 87030, {1, 3, 3, 11, 15, 25, 17, 67, 125, 7, 1163, 973, 5325, 12707, 12763, 9481, 21363, 195897}},
+{18590, 18, 87041, {1, 1, 7, 9, 17, 19, 15, 13, 107, 919, 461, 343, 1101, 8195, 29293, 61643, 64995, 230469}},
+{18591, 18, 87044, {1, 3, 5, 1, 9, 25, 39, 65, 27, 461, 669, 2841, 7973, 11565, 9531, 52235, 6741, 215513}},
+{18592, 18, 87084, {1, 3, 3, 1, 7, 57, 101, 199, 37, 79, 2033, 1723, 6877, 2733, 26445, 62625, 21671, 238431}},
+{18593, 18, 87116, {1, 1, 1, 9, 27, 31, 125, 199, 331, 611, 523, 407, 747, 9499, 4685, 17805, 43717, 253233}},
+{18594, 18, 87138, {1, 1, 3, 7, 29, 7, 7, 153, 339, 337, 701, 2639, 6311, 6375, 26023, 27693, 59733, 260405}},
+{18595, 18, 87162, {1, 1, 7, 7, 15, 27, 23, 49, 181, 433, 485, 2915, 6021, 9095, 15951, 47257, 104513, 208089}},
+{18596, 18, 87188, {1, 1, 5, 7, 19, 19, 125, 153, 109, 829, 1967, 2567, 7157, 6001, 10151, 55323, 92405, 82549}},
+{18597, 18, 87211, {1, 1, 3, 11, 13, 17, 85, 215, 265, 875, 311, 3773, 8059, 2115, 19259, 63999, 77411, 220267}},
+{18598, 18, 87234, {1, 3, 1, 15, 15, 35, 81, 213, 411, 435, 105, 1487, 1991, 14539, 8175, 2115, 47259, 45893}},
+{18599, 18, 87245, {1, 3, 1, 11, 9, 47, 27, 115, 449, 521, 321, 2463, 1355, 5785, 11269, 45337, 29049, 91675}},
+{18600, 18, 87246, {1, 3, 1, 13, 21, 53, 49, 83, 373, 519, 757, 1241, 577, 14443, 449, 44773, 116673, 155209}},
+{18601, 18, 87260, {1, 3, 3, 1, 29, 63, 97, 145, 371, 585, 1809, 3997, 249, 283, 28369, 27325, 61673, 12637}},
+{18602, 18, 87270, {1, 3, 5, 9, 11, 55, 77, 89, 285, 297, 861, 2791, 3245, 15093, 32489, 40477, 97603, 35347}},
+{18603, 18, 87284, {1, 1, 1, 3, 27, 33, 115, 209, 169, 893, 393, 1457, 6069, 12511, 20423, 11385, 86711, 197555}},
+{18604, 18, 87293, {1, 3, 5, 15, 21, 25, 87, 159, 477, 177, 991, 495, 29, 9347, 9721, 4071, 30145, 214155}},
+{18605, 18, 87296, {1, 1, 5, 3, 11, 45, 53, 251, 177, 651, 549, 3377, 3247, 8761, 20339, 27743, 103387, 159591}},
+{18606, 18, 87299, {1, 3, 7, 11, 17, 27, 43, 179, 507, 553, 261, 3939, 6133, 6347, 12987, 46071, 42551, 99225}},
+{18607, 18, 87305, {1, 3, 3, 11, 3, 33, 85, 51, 277, 117, 1295, 2435, 1467, 13787, 2209, 52673, 53515, 157625}},
+{18608, 18, 87308, {1, 3, 3, 3, 9, 15, 121, 229, 227, 795, 541, 3727, 4333, 2251, 27833, 43567, 82505, 230427}},
+{18609, 18, 87313, {1, 1, 5, 13, 29, 19, 119, 63, 207, 945, 761, 2601, 1391, 8939, 11683, 52433, 63301, 82501}},
+{18610, 18, 87323, {1, 3, 7, 1, 3, 57, 127, 115, 209, 31, 1631, 347, 3937, 4015, 13313, 49507, 15103, 237071}},
+{18611, 18, 87332, {1, 3, 1, 13, 3, 25, 85, 151, 115, 385, 303, 2453, 2417, 8051, 1447, 59517, 3711, 160345}},
+{18612, 18, 87361, {1, 3, 1, 13, 1, 23, 49, 75, 117, 295, 1737, 2091, 6229, 3157, 32737, 13751, 101667, 96261}},
+{18613, 18, 87376, {1, 3, 3, 5, 27, 19, 103, 201, 65, 757, 1847, 239, 2185, 15139, 8883, 17737, 9207, 147663}},
+{18614, 18, 87392, {1, 3, 1, 9, 3, 39, 51, 1, 419, 929, 1049, 2891, 2585, 2759, 27587, 55711, 15461, 46851}},
+{18615, 18, 87419, {1, 1, 5, 3, 23, 23, 23, 101, 249, 997, 1889, 2293, 5693, 939, 29619, 2775, 49293, 168895}},
+{18616, 18, 87432, {1, 3, 1, 15, 9, 63, 17, 97, 385, 517, 1737, 713, 157, 2597, 20889, 35209, 47525, 14389}},
+{18617, 18, 87435, {1, 3, 1, 1, 7, 27, 9, 147, 349, 493, 341, 2699, 7743, 4283, 24691, 11881, 78619, 153899}},
+{18618, 18, 87445, {1, 3, 1, 9, 15, 25, 103, 177, 485, 355, 1319, 767, 6675, 3425, 7187, 53767, 92023, 151523}},
+{18619, 18, 87466, {1, 1, 3, 3, 15, 35, 25, 177, 295, 5, 661, 3651, 2597, 16229, 1343, 54941, 72047, 169155}},
+{18620, 18, 87491, {1, 1, 1, 1, 19, 29, 63, 229, 79, 551, 1401, 2851, 6935, 12485, 9243, 21671, 54209, 105347}},
+{18621, 18, 87503, {1, 1, 3, 1, 13, 33, 53, 125, 261, 623, 65, 3863, 1899, 2453, 16483, 48655, 50771, 248555}},
+{18622, 18, 87558, {1, 3, 5, 7, 25, 15, 107, 149, 485, 247, 1977, 3125, 4663, 4925, 15749, 39429, 52315, 30545}},
+{18623, 18, 87570, {1, 1, 7, 13, 23, 13, 127, 111, 9, 17, 1887, 1341, 3017, 14333, 6003, 35113, 14935, 17593}},
+{18624, 18, 87581, {1, 1, 1, 15, 23, 17, 111, 43, 71, 549, 1369, 1711, 3903, 13605, 14573, 18973, 28157, 128421}},
+{18625, 18, 87603, {1, 1, 7, 15, 27, 23, 5, 99, 87, 865, 1979, 3287, 3977, 14989, 17439, 14593, 92711, 211259}},
+{18626, 18, 87615, {1, 3, 3, 15, 5, 19, 3, 231, 127, 863, 1537, 369, 7915, 10281, 13925, 12931, 3905, 178609}},
+{18627, 18, 87623, {1, 1, 3, 15, 13, 5, 17, 217, 383, 251, 1701, 3379, 8157, 4991, 8563, 24611, 66081, 205775}},
+{18628, 18, 87635, {1, 3, 7, 11, 9, 25, 73, 131, 217, 601, 843, 807, 4509, 16209, 29581, 50869, 56595, 14283}},
+{18629, 18, 87647, {1, 3, 5, 9, 5, 59, 57, 153, 359, 775, 859, 1897, 6415, 7389, 10851, 64247, 21627, 145017}},
+{18630, 18, 87651, {1, 3, 7, 1, 27, 11, 117, 179, 175, 343, 687, 2775, 3655, 11655, 2641, 355, 83447, 237799}},
+{18631, 18, 87657, {1, 1, 7, 11, 17, 59, 91, 21, 403, 797, 1839, 525, 3279, 6575, 30083, 12503, 83057, 109465}},
+{18632, 18, 87665, {1, 3, 7, 1, 25, 27, 41, 223, 169, 679, 699, 3287, 6305, 6459, 23145, 45519, 127487, 183563}},
+{18633, 18, 87694, {1, 3, 3, 1, 9, 45, 105, 57, 185, 97, 899, 3113, 7081, 7057, 14559, 53537, 105623, 155399}},
+{18634, 18, 87701, {1, 3, 7, 5, 17, 35, 89, 13, 87, 587, 451, 4079, 1005, 4311, 15861, 49977, 59653, 12107}},
+{18635, 18, 87705, {1, 3, 7, 3, 19, 55, 43, 77, 317, 369, 71, 937, 1905, 5005, 17715, 4005, 55445, 25159}},
+{18636, 18, 87722, {1, 1, 7, 15, 15, 51, 87, 37, 59, 755, 763, 455, 711, 13399, 30999, 61269, 66037, 202793}},
+{18637, 18, 87739, {1, 1, 3, 5, 11, 57, 111, 135, 325, 553, 273, 1533, 3431, 6427, 24771, 42143, 56711, 220873}},
+{18638, 18, 87750, {1, 1, 1, 13, 3, 49, 53, 81, 491, 177, 1543, 1847, 7907, 7817, 15417, 9897, 101597, 160195}},
+{18639, 18, 87790, {1, 3, 1, 15, 19, 15, 91, 123, 365, 113, 129, 3371, 5789, 13553, 6887, 62317, 84269, 44777}},
+{18640, 18, 87795, {1, 3, 7, 13, 15, 63, 43, 175, 449, 437, 597, 1371, 5101, 13797, 28025, 15809, 7645, 21169}},
+{18641, 18, 87797, {1, 1, 7, 13, 23, 63, 105, 69, 219, 153, 1539, 1537, 6899, 9363, 27459, 34551, 62563, 236679}},
+{18642, 18, 87816, {1, 3, 7, 3, 9, 33, 3, 101, 135, 571, 127, 3881, 7017, 13403, 13817, 55167, 8645, 471}},
+{18643, 18, 87884, {1, 3, 3, 13, 7, 53, 29, 89, 473, 135, 639, 3137, 93, 965, 4867, 58265, 114963, 175295}},
+{18644, 18, 87917, {1, 3, 1, 1, 9, 11, 45, 123, 129, 441, 1601, 39, 4657, 3701, 29581, 16045, 57173, 75195}},
+{18645, 18, 87930, {1, 1, 3, 11, 7, 21, 9, 73, 25, 891, 1625, 3019, 223, 14351, 30621, 3075, 79051, 178127}},
+{18646, 18, 87942, {1, 1, 7, 3, 7, 43, 69, 209, 9, 857, 1539, 2629, 5277, 14583, 16443, 28275, 54143, 206479}},
+{18647, 18, 87953, {1, 3, 5, 9, 27, 15, 109, 237, 323, 103, 837, 597, 3609, 6249, 795, 37191, 20997, 142079}},
+{18648, 18, 87954, {1, 1, 3, 1, 27, 33, 123, 191, 55, 531, 1707, 2633, 6717, 9645, 21377, 51593, 9017, 178185}},
+{18649, 18, 87984, {1, 1, 5, 15, 3, 3, 67, 225, 229, 161, 2039, 1499, 873, 8803, 29901, 58809, 35625, 207797}},
+{18650, 18, 87989, {1, 3, 3, 7, 3, 47, 99, 237, 221, 31, 1043, 1081, 837, 1617, 17323, 43879, 55615, 238537}},
+{18651, 18, 88008, {1, 3, 7, 1, 17, 37, 45, 211, 245, 657, 221, 1067, 1683, 16127, 585, 9067, 25935, 162469}},
+{18652, 18, 88016, {1, 1, 5, 9, 23, 27, 5, 237, 137, 227, 129, 279, 4171, 5963, 349, 12387, 40701, 177255}},
+{18653, 18, 88038, {1, 3, 7, 15, 17, 11, 95, 69, 49, 901, 509, 2541, 3001, 15501, 24235, 39863, 95381, 260793}},
+{18654, 18, 88042, {1, 3, 3, 3, 29, 3, 125, 3, 423, 609, 1401, 2337, 1093, 11419, 29735, 9033, 115977, 210201}},
+{18655, 18, 88044, {1, 1, 1, 9, 11, 21, 71, 33, 399, 1005, 1691, 1501, 2585, 7361, 21527, 7535, 87091, 192319}},
+{18656, 18, 88049, {1, 1, 1, 11, 5, 49, 65, 115, 239, 255, 381, 2803, 3447, 5775, 18243, 16545, 108901, 81355}},
+{18657, 18, 88083, {1, 3, 7, 15, 31, 5, 81, 213, 281, 903, 189, 1807, 3551, 4423, 3591, 27449, 71659, 255357}},
+{18658, 18, 88119, {1, 1, 1, 15, 11, 1, 25, 213, 259, 215, 435, 3531, 4889, 9509, 21391, 21589, 89871, 85895}},
+{18659, 18, 88134, {1, 3, 3, 9, 29, 29, 37, 127, 419, 631, 1793, 1547, 1463, 13265, 17233, 24627, 3687, 174179}},
+{18660, 18, 88138, {1, 1, 1, 7, 27, 61, 105, 135, 439, 161, 721, 2779, 6731, 14575, 4565, 25869, 38981, 191683}},
+{18661, 18, 88143, {1, 1, 7, 13, 21, 41, 43, 5, 313, 407, 505, 231, 5023, 8971, 15825, 38461, 38797, 136027}},
+{18662, 18, 88191, {1, 3, 7, 3, 7, 59, 11, 255, 327, 843, 1179, 889, 4505, 10891, 7901, 14485, 72297, 255985}},
+{18663, 18, 88216, {1, 1, 5, 3, 9, 37, 89, 59, 413, 51, 515, 4009, 6501, 8443, 14381, 60917, 43567, 234431}},
+{18664, 18, 88231, {1, 1, 3, 9, 9, 57, 65, 205, 367, 935, 1975, 2561, 225, 12529, 4721, 56659, 87901, 219641}},
+{18665, 18, 88232, {1, 3, 7, 15, 23, 55, 61, 15, 89, 267, 1245, 2703, 7471, 10499, 19, 19357, 72413, 199289}},
+{18666, 18, 88297, {1, 1, 1, 13, 1, 29, 65, 11, 353, 509, 1831, 2181, 5265, 14761, 913, 17109, 113613, 37143}},
+{18667, 18, 88300, {1, 1, 7, 5, 17, 37, 97, 249, 169, 223, 475, 2091, 3101, 8541, 325, 42359, 16121, 151739}},
+{18668, 18, 88308, {1, 1, 3, 13, 1, 45, 13, 209, 395, 215, 15, 2287, 5365, 9887, 29799, 51957, 97483, 109467}},
+{18669, 18, 88317, {1, 3, 7, 1, 9, 35, 91, 51, 387, 833, 783, 2483, 3743, 6155, 5881, 3047, 86191, 151867}},
+{18670, 18, 88344, {1, 1, 1, 7, 15, 25, 13, 3, 119, 333, 761, 3459, 2555, 15737, 12945, 15225, 45487, 78235}},
+{18671, 18, 88350, {1, 3, 1, 3, 13, 55, 111, 45, 121, 593, 633, 2705, 1653, 13275, 13533, 3559, 100573, 124363}},
+{18672, 18, 88371, {1, 1, 3, 1, 29, 49, 65, 69, 133, 667, 653, 2559, 6335, 8019, 9251, 5415, 90125, 197413}},
+{18673, 18, 88469, {1, 1, 1, 7, 23, 53, 99, 149, 39, 453, 129, 185, 1143, 12799, 23339, 41293, 94023, 105581}},
+{18674, 18, 88483, {1, 3, 3, 13, 5, 3, 5, 215, 425, 455, 421, 3815, 5983, 3851, 19569, 17363, 6411, 60037}},
+{18675, 18, 88485, {1, 3, 7, 1, 29, 7, 63, 207, 299, 17, 1915, 2041, 8129, 661, 32481, 55475, 72027, 239683}},
+{18676, 18, 88518, {1, 1, 5, 13, 29, 11, 39, 177, 177, 479, 1291, 3931, 4353, 327, 7827, 9529, 6967, 6469}},
+{18677, 18, 88586, {1, 1, 5, 3, 25, 39, 121, 15, 7, 715, 583, 3997, 1373, 7747, 1777, 7269, 105333, 201511}},
+{18678, 18, 88605, {1, 3, 3, 9, 11, 7, 81, 109, 129, 359, 1281, 1163, 4895, 10303, 17801, 43461, 120271, 173027}},
+{18679, 18, 88621, {1, 3, 5, 1, 23, 59, 123, 75, 505, 925, 637, 1713, 995, 14031, 13711, 62569, 90553, 242345}},
+{18680, 18, 88651, {1, 3, 3, 15, 19, 11, 39, 203, 229, 619, 735, 1367, 4963, 5263, 30229, 17847, 9623, 3277}},
+{18681, 18, 88656, {1, 1, 7, 13, 5, 27, 23, 223, 377, 335, 1821, 2481, 4111, 10373, 18423, 7237, 75225, 223433}},
+{18682, 18, 88665, {1, 3, 7, 1, 21, 19, 71, 107, 19, 703, 945, 3831, 1099, 6267, 17489, 27665, 8861, 127499}},
+{18683, 18, 88668, {1, 3, 5, 1, 19, 49, 117, 181, 245, 939, 1279, 3127, 4427, 3061, 23399, 64805, 43077, 100789}},
+{18684, 18, 88712, {1, 1, 3, 3, 31, 55, 53, 205, 97, 645, 215, 2617, 7419, 7159, 27373, 62341, 58121, 248677}},
+{18685, 18, 88717, {1, 1, 7, 5, 15, 41, 99, 75, 201, 187, 197, 3773, 3097, 6803, 5307, 31375, 26743, 142723}},
+{18686, 18, 88751, {1, 3, 5, 11, 23, 61, 127, 15, 89, 245, 1345, 1305, 5937, 15917, 23867, 50319, 91921, 248663}},
+{18687, 18, 88754, {1, 1, 3, 9, 27, 7, 1, 75, 181, 155, 1947, 577, 2975, 8855, 5295, 43403, 112497, 100679}},
+{18688, 18, 88756, {1, 1, 1, 11, 29, 61, 35, 241, 207, 73, 1747, 1797, 3665, 14275, 25359, 28685, 79367, 81819}},
+{18689, 18, 88785, {1, 3, 5, 9, 11, 1, 37, 79, 431, 157, 1979, 159, 3087, 1731, 26141, 31411, 56457, 94293}},
+{18690, 18, 88801, {1, 3, 7, 1, 17, 35, 107, 243, 279, 79, 227, 1275, 761, 11485, 22181, 16415, 68801, 4577}},
+{18691, 18, 88807, {1, 3, 1, 9, 21, 43, 115, 131, 129, 123, 1677, 1875, 7355, 15927, 845, 24101, 48985, 39703}},
+{18692, 18, 88826, {1, 1, 7, 3, 17, 25, 105, 189, 317, 109, 1629, 3103, 615, 1047, 621, 62743, 43631, 9811}},
+{18693, 18, 88848, {1, 3, 1, 3, 3, 45, 49, 73, 383, 761, 685, 3211, 3855, 16307, 30469, 1393, 52535, 165503}},
+{18694, 18, 88854, {1, 3, 5, 15, 1, 41, 89, 105, 213, 33, 1477, 711, 4823, 503, 12533, 56781, 42825, 223399}},
+{18695, 18, 88864, {1, 3, 5, 9, 17, 45, 63, 113, 359, 927, 1467, 2811, 4275, 5193, 6023, 32689, 87747, 234697}},
+{18696, 18, 88879, {1, 1, 3, 1, 21, 49, 73, 157, 97, 915, 1689, 3289, 7515, 10759, 32253, 63175, 66175, 125813}},
+{18697, 18, 88939, {1, 1, 1, 5, 19, 1, 127, 229, 453, 617, 511, 1515, 3815, 3125, 26851, 31635, 35389, 237483}},
+{18698, 18, 88947, {1, 1, 1, 13, 27, 61, 75, 23, 289, 133, 975, 3217, 3777, 12095, 15235, 33845, 125503, 88417}},
+{18699, 18, 88987, {1, 1, 3, 13, 27, 49, 29, 115, 221, 995, 1305, 2717, 2243, 13391, 20841, 863, 63195, 46829}},
+{18700, 18, 88990, {1, 3, 1, 11, 31, 49, 43, 163, 503, 123, 657, 1285, 3695, 8401, 17087, 48289, 3947, 41495}},
+{18701, 18, 88996, {1, 3, 7, 9, 21, 17, 125, 75, 395, 979, 781, 2501, 6511, 4619, 28943, 18295, 87547, 196289}},
+{18702, 18, 89008, {1, 3, 3, 5, 3, 39, 107, 199, 7, 331, 77, 511, 5787, 3155, 29605, 44633, 51041, 89141}},
+{18703, 18, 89011, {1, 1, 3, 7, 11, 37, 79, 69, 181, 623, 299, 2321, 4371, 7449, 3137, 25753, 116673, 30441}},
+{18704, 18, 89043, {1, 1, 5, 9, 11, 13, 49, 207, 179, 671, 1469, 1005, 6887, 12203, 9365, 62455, 36283, 42053}},
+{18705, 18, 89045, {1, 3, 1, 1, 7, 31, 115, 79, 435, 101, 1525, 3695, 3229, 11401, 23959, 62055, 37725, 219753}},
+{18706, 18, 89050, {1, 3, 3, 7, 25, 49, 123, 161, 275, 291, 255, 2247, 4271, 10771, 2449, 26343, 61169, 30691}},
+{18707, 18, 89097, {1, 1, 7, 1, 15, 3, 11, 15, 125, 1021, 1817, 417, 2721, 13985, 19039, 451, 32559, 199407}},
+{18708, 18, 89100, {1, 1, 5, 15, 11, 25, 23, 101, 427, 431, 1353, 1957, 3529, 513, 11937, 14469, 89539, 242015}},
+{18709, 18, 89106, {1, 1, 5, 13, 27, 5, 107, 29, 469, 3, 1427, 1949, 7007, 16339, 3375, 63545, 100739, 229487}},
+{18710, 18, 89134, {1, 3, 5, 13, 15, 17, 59, 213, 417, 557, 11, 811, 5041, 4133, 25735, 46807, 65669, 148081}},
+{18711, 18, 89178, {1, 1, 5, 13, 9, 47, 35, 173, 277, 805, 1249, 3707, 1079, 2833, 29383, 58995, 21005, 181567}},
+{18712, 18, 89189, {1, 3, 5, 1, 5, 25, 125, 45, 157, 291, 1329, 3317, 2311, 9919, 31001, 65127, 19451, 117621}},
+{18713, 18, 89202, {1, 1, 5, 9, 31, 21, 9, 193, 23, 879, 699, 1135, 7151, 8635, 20711, 45207, 67047, 4397}},
+{18714, 18, 89211, {1, 3, 1, 11, 11, 49, 119, 129, 409, 491, 463, 833, 3661, 607, 25961, 6061, 12747, 160337}},
+{18715, 18, 89224, {1, 3, 1, 15, 31, 35, 93, 95, 239, 695, 1113, 2371, 2625, 10371, 10781, 46209, 67051, 109923}},
+{18716, 18, 89241, {1, 3, 5, 9, 5, 61, 25, 19, 99, 159, 55, 43, 3679, 1023, 17951, 44841, 101653, 195955}},
+{18717, 18, 89251, {1, 1, 3, 11, 19, 45, 99, 47, 407, 115, 353, 3537, 7147, 5837, 27309, 44539, 30227, 93183}},
+{18718, 18, 89254, {1, 1, 7, 15, 13, 59, 83, 215, 79, 865, 269, 2999, 2415, 10631, 23655, 51583, 46105, 43965}},
+{18719, 18, 89258, {1, 3, 7, 5, 17, 1, 7, 119, 501, 25, 1097, 3639, 7017, 381, 4793, 37263, 60431, 77323}},
+{18720, 18, 89295, {1, 3, 7, 13, 1, 37, 99, 103, 459, 853, 5, 3093, 6167, 14497, 7003, 36979, 71919, 64823}},
+{18721, 18, 89328, {1, 3, 7, 5, 23, 7, 37, 255, 297, 115, 113, 579, 4561, 5245, 11173, 28645, 23989, 240777}},
+{18722, 18, 89357, {1, 3, 5, 9, 29, 47, 43, 145, 481, 251, 737, 2531, 2425, 529, 3953, 13229, 35933, 187855}},
+{18723, 18, 89403, {1, 3, 1, 15, 15, 15, 29, 73, 405, 91, 1399, 3599, 1517, 11075, 11265, 22817, 26619, 1183}},
+{18724, 18, 89420, {1, 1, 5, 15, 21, 47, 93, 33, 47, 527, 877, 3453, 3867, 4007, 32503, 11789, 68333, 187419}},
+{18725, 18, 89426, {1, 1, 3, 13, 5, 3, 99, 21, 17, 779, 541, 3919, 1339, 13507, 28965, 61145, 50421, 192319}},
+{18726, 18, 89465, {1, 1, 3, 7, 31, 63, 17, 9, 331, 681, 515, 1067, 351, 2471, 31271, 36015, 72911, 32383}},
+{18727, 18, 89471, {1, 1, 3, 7, 1, 55, 97, 211, 409, 499, 1207, 2405, 2291, 1373, 1263, 65303, 38655, 159965}},
+{18728, 18, 89475, {1, 1, 1, 5, 23, 11, 21, 23, 35, 19, 1699, 2325, 6117, 14971, 32327, 31369, 28061, 112819}},
+{18729, 18, 89547, {1, 3, 3, 13, 29, 63, 19, 201, 173, 395, 1437, 369, 7045, 14347, 5393, 11311, 28415, 161019}},
+{18730, 18, 89549, {1, 3, 1, 5, 31, 15, 101, 13, 97, 865, 1063, 2129, 811, 3337, 7585, 54803, 122099, 149531}},
+{18731, 18, 89558, {1, 3, 3, 13, 19, 5, 47, 13, 497, 683, 1197, 3509, 4375, 3353, 31847, 283, 95281, 7975}},
+{18732, 18, 89564, {1, 1, 7, 5, 25, 19, 59, 105, 167, 775, 581, 2679, 3003, 9345, 20209, 31487, 25357, 226341}},
+{18733, 18, 89611, {1, 1, 5, 5, 31, 61, 13, 77, 189, 141, 1157, 609, 7245, 15303, 32743, 50229, 67391, 173977}},
+{18734, 18, 89616, {1, 3, 7, 13, 17, 11, 49, 135, 475, 303, 1373, 1437, 6119, 1729, 21347, 31643, 86523, 41223}},
+{18735, 18, 89626, {1, 3, 7, 13, 3, 19, 103, 53, 209, 281, 77, 2009, 7911, 8549, 17655, 33165, 9685, 2289}},
+{18736, 18, 89650, {1, 3, 3, 9, 5, 31, 71, 113, 93, 255, 165, 3465, 6769, 13047, 20701, 33669, 22537, 175209}},
+{18737, 18, 89691, {1, 3, 1, 1, 15, 59, 89, 227, 275, 451, 869, 1865, 1327, 3895, 5459, 47997, 34287, 95343}},
+{18738, 18, 89718, {1, 3, 7, 13, 27, 1, 25, 99, 475, 421, 693, 1955, 4017, 16037, 29915, 52415, 99913, 59151}},
+{18739, 18, 89764, {1, 3, 5, 1, 9, 61, 107, 149, 465, 1003, 891, 2387, 407, 5851, 6287, 56401, 109693, 72035}},
+{18740, 18, 89776, {1, 1, 1, 11, 25, 53, 101, 125, 35, 949, 1019, 3087, 2785, 11271, 25623, 57313, 115683, 101923}},
+{18741, 18, 89785, {1, 3, 5, 13, 19, 13, 97, 147, 149, 483, 1727, 1771, 2089, 8661, 28223, 30437, 42565, 13261}},
+{18742, 18, 89813, {1, 3, 3, 11, 17, 9, 13, 13, 419, 531, 1617, 1459, 411, 9953, 25581, 30305, 120721, 81113}},
+{18743, 18, 89817, {1, 3, 3, 9, 9, 9, 83, 35, 367, 981, 911, 1915, 4937, 16187, 20441, 30433, 107605, 119939}},
+{18744, 18, 89861, {1, 3, 7, 11, 11, 47, 31, 7, 141, 905, 1753, 3069, 47, 7347, 10517, 19515, 126827, 68669}},
+{18745, 18, 89876, {1, 3, 3, 9, 17, 33, 121, 159, 265, 389, 261, 2479, 7705, 6453, 31963, 14123, 100201, 77235}},
+{18746, 18, 89889, {1, 1, 5, 5, 13, 63, 3, 1, 107, 383, 633, 2183, 1437, 14525, 29315, 3277, 2153, 204061}},
+{18747, 18, 89904, {1, 3, 3, 3, 17, 9, 47, 173, 17, 413, 451, 1127, 1807, 5265, 32543, 8215, 123601, 138777}},
+{18748, 18, 89939, {1, 3, 1, 1, 7, 57, 93, 29, 101, 955, 1445, 4017, 2853, 3551, 22173, 40355, 34687, 133063}},
+{18749, 18, 89948, {1, 1, 5, 11, 19, 15, 95, 177, 49, 971, 15, 2293, 2627, 7841, 2103, 64331, 60481, 182431}},
+{18750, 18, 89952, {1, 3, 1, 15, 25, 57, 47, 85, 485, 11, 1669, 995, 6939, 4125, 19513, 62397, 62645, 82213}},
+{18751, 18, 89964, {1, 1, 1, 11, 1, 37, 101, 157, 17, 261, 997, 817, 2195, 4141, 10505, 60685, 98165, 167391}},
+{18752, 18, 89969, {1, 1, 1, 1, 31, 9, 103, 97, 161, 13, 1043, 307, 7321, 671, 12417, 58661, 23031, 207833}},
+{18753, 18, 89979, {1, 1, 7, 9, 15, 49, 69, 117, 93, 95, 507, 393, 6169, 2111, 27179, 47217, 93699, 67315}},
+{18754, 18, 90009, {1, 3, 7, 1, 23, 41, 115, 125, 343, 615, 397, 1199, 3041, 11019, 1071, 51069, 75757, 245765}},
+{18755, 18, 90022, {1, 1, 1, 13, 7, 15, 111, 239, 29, 419, 203, 2395, 3995, 13, 32341, 17471, 53259, 3317}},
+{18756, 18, 90031, {1, 3, 1, 11, 29, 27, 15, 217, 17, 163, 1847, 3549, 4911, 4539, 4927, 57157, 44893, 41669}},
+{18757, 18, 90043, {1, 1, 7, 7, 25, 15, 101, 149, 433, 717, 1827, 3837, 4565, 14521, 28857, 27775, 117429, 136131}},
+{18758, 18, 90045, {1, 1, 1, 3, 25, 35, 85, 3, 381, 253, 375, 3967, 3101, 12727, 31739, 48885, 35821, 92229}},
+{18759, 18, 90068, {1, 3, 3, 7, 29, 5, 51, 157, 67, 467, 1957, 3453, 1353, 4839, 25379, 42731, 109385, 52479}},
+{18760, 18, 90071, {1, 3, 7, 13, 3, 55, 61, 73, 257, 313, 89, 2557, 7467, 2223, 2951, 49265, 126605, 72007}},
+{18761, 18, 90082, {1, 3, 7, 5, 5, 11, 83, 3, 347, 63, 479, 529, 5059, 7029, 20523, 58387, 44891, 168921}},
+{18762, 18, 90087, {1, 3, 1, 11, 3, 51, 99, 5, 161, 279, 1509, 3659, 3107, 13925, 5117, 46153, 48731, 69767}},
+{18763, 18, 90117, {1, 1, 5, 5, 3, 53, 49, 243, 383, 401, 1205, 975, 3305, 12769, 25533, 28733, 115161, 160885}},
+{18764, 18, 90127, {1, 1, 1, 7, 15, 5, 43, 143, 493, 527, 1625, 2115, 3929, 12425, 16127, 25045, 55973, 202359}},
+{18765, 18, 90163, {1, 3, 7, 7, 11, 9, 69, 79, 417, 941, 473, 1655, 5763, 9889, 22443, 12153, 103489, 74737}},
+{18766, 18, 90166, {1, 1, 7, 9, 27, 31, 97, 253, 199, 99, 1955, 1481, 2509, 11923, 6337, 15899, 122515, 244721}},
+{18767, 18, 90177, {1, 1, 5, 13, 29, 15, 35, 177, 261, 613, 1279, 2837, 2945, 4501, 22865, 36893, 51979, 245569}},
+{18768, 18, 90211, {1, 1, 5, 9, 21, 5, 85, 5, 303, 165, 681, 3965, 2575, 1493, 10367, 55845, 92139, 92539}},
+{18769, 18, 90218, {1, 3, 5, 1, 23, 49, 49, 161, 481, 181, 1991, 1845, 4541, 14187, 10893, 64931, 79943, 57907}},
+{18770, 18, 90225, {1, 3, 1, 5, 11, 27, 19, 193, 371, 463, 1573, 271, 1127, 15091, 9967, 40337, 104163, 159339}},
+{18771, 18, 90231, {1, 3, 1, 3, 13, 3, 57, 149, 465, 789, 1155, 2223, 2007, 13987, 19057, 40447, 5217, 86191}},
+{18772, 18, 90235, {1, 3, 5, 5, 9, 45, 27, 155, 95, 171, 489, 2539, 843, 16125, 7047, 58541, 84641, 212013}},
+{18773, 18, 90289, {1, 3, 5, 13, 13, 53, 101, 159, 7, 481, 143, 3869, 6629, 3527, 1555, 6019, 155, 230157}},
+{18774, 18, 90344, {1, 3, 1, 1, 19, 59, 59, 129, 107, 887, 1595, 93, 6577, 3947, 14409, 31081, 68595, 226741}},
+{18775, 18, 90347, {1, 3, 3, 11, 13, 49, 81, 253, 363, 875, 489, 2181, 3487, 1615, 31157, 32949, 44809, 119421}},
+{18776, 18, 90379, {1, 1, 3, 1, 3, 19, 71, 93, 397, 521, 2015, 3829, 3013, 3941, 29437, 1959, 70283, 254361}},
+{18777, 18, 90387, {1, 3, 1, 3, 27, 11, 95, 39, 299, 521, 389, 3451, 3047, 8637, 22537, 11279, 67407, 101511}},
+{18778, 18, 90418, {1, 3, 1, 1, 27, 43, 123, 237, 315, 503, 1059, 2185, 3963, 1593, 19157, 13909, 58025, 91649}},
+{18779, 18, 90435, {1, 1, 7, 1, 5, 19, 79, 109, 459, 541, 521, 89, 389, 13499, 9769, 1429, 117357, 153261}},
+{18780, 18, 90444, {1, 1, 5, 3, 9, 29, 21, 97, 219, 915, 2013, 1955, 1015, 549, 9777, 5005, 110953, 16915}},
+{18781, 18, 90472, {1, 1, 1, 9, 29, 11, 103, 167, 465, 515, 843, 151, 769, 12033, 9451, 14949, 110075, 113947}},
+{18782, 18, 90478, {1, 3, 5, 1, 21, 1, 105, 49, 35, 737, 231, 2761, 1519, 9997, 601, 20883, 42575, 98081}},
+{18783, 18, 90485, {1, 1, 1, 5, 13, 63, 47, 171, 187, 407, 643, 1423, 6325, 10079, 23781, 36353, 20655, 10231}},
+{18784, 18, 90486, {1, 1, 7, 13, 13, 13, 91, 31, 19, 305, 505, 1937, 2683, 10791, 7719, 54797, 9405, 195819}},
+{18785, 18, 90513, {1, 1, 1, 7, 17, 9, 21, 211, 85, 851, 211, 1533, 4035, 11, 26873, 16755, 77809, 44603}},
+{18786, 18, 90514, {1, 1, 3, 1, 29, 47, 31, 141, 9, 881, 1229, 1261, 3747, 4603, 22177, 48937, 21435, 157029}},
+{18787, 18, 90532, {1, 1, 1, 9, 11, 35, 109, 187, 319, 863, 1339, 2193, 4147, 3721, 7243, 18295, 92461, 88875}},
+{18788, 18, 90567, {1, 1, 1, 1, 25, 41, 79, 191, 47, 819, 2013, 3133, 2763, 9231, 10343, 49693, 26753, 97465}},
+{18789, 18, 90595, {1, 3, 1, 3, 17, 25, 63, 139, 179, 113, 1681, 1997, 4561, 14453, 30721, 7053, 22937, 183303}},
+{18790, 18, 90597, {1, 1, 7, 3, 29, 11, 41, 157, 427, 887, 295, 443, 5593, 8633, 9757, 37595, 121655, 135739}},
+{18791, 18, 90621, {1, 3, 1, 7, 29, 5, 23, 231, 85, 67, 103, 1395, 7821, 9551, 17019, 1825, 69963, 254583}},
+{18792, 18, 90631, {1, 1, 7, 9, 7, 23, 7, 205, 17, 111, 1219, 3101, 7485, 11579, 11791, 10203, 119835, 175985}},
+{18793, 18, 90668, {1, 3, 3, 13, 3, 57, 101, 255, 331, 911, 491, 3929, 2519, 2185, 21107, 24599, 92831, 75001}},
+{18794, 18, 90706, {1, 3, 7, 1, 23, 53, 69, 229, 295, 881, 905, 3727, 3885, 7967, 2061, 53595, 16033, 36443}},
+{18795, 18, 90708, {1, 1, 7, 15, 21, 1, 127, 115, 191, 53, 929, 1093, 5447, 1665, 4409, 22611, 38157, 139201}},
+{18796, 18, 90715, {1, 3, 3, 13, 29, 31, 113, 215, 365, 41, 1977, 2839, 4147, 8321, 1361, 45717, 80505, 176631}},
+{18797, 18, 90724, {1, 3, 5, 3, 3, 57, 25, 81, 41, 229, 669, 3371, 7505, 1197, 14921, 34365, 67571, 27355}},
+{18798, 18, 90769, {1, 3, 7, 9, 17, 35, 7, 169, 13, 163, 2007, 3697, 5635, 8003, 26105, 62917, 19349, 47029}},
+{18799, 18, 90791, {1, 1, 5, 5, 29, 27, 89, 137, 69, 189, 871, 3139, 6383, 14955, 15349, 60447, 122291, 26541}},
+{18800, 18, 90792, {1, 1, 7, 13, 27, 49, 115, 111, 441, 865, 1397, 161, 755, 14461, 8601, 45533, 105309, 149799}},
+{18801, 18, 90805, {1, 1, 7, 3, 9, 29, 91, 5, 239, 605, 491, 1705, 4099, 9111, 19821, 56903, 62815, 40615}},
+{18802, 18, 90810, {1, 1, 7, 15, 5, 45, 71, 225, 211, 539, 1881, 1201, 5675, 6061, 12121, 13289, 30455, 33131}},
+{18803, 18, 90820, {1, 1, 5, 15, 5, 59, 35, 121, 185, 143, 165, 2999, 7907, 5035, 8337, 11951, 66403, 219997}},
+{18804, 18, 90844, {1, 1, 5, 9, 3, 7, 27, 129, 245, 93, 715, 1249, 1717, 13381, 31255, 23153, 22227, 8077}},
+{18805, 18, 90907, {1, 3, 5, 11, 19, 49, 21, 163, 157, 615, 1475, 2453, 6315, 12325, 26565, 58399, 49385, 252127}},
+{18806, 18, 90925, {1, 3, 7, 11, 23, 3, 35, 61, 409, 795, 1447, 3461, 535, 6533, 25757, 31783, 9509, 217589}},
+{18807, 18, 90926, {1, 1, 5, 15, 9, 21, 67, 65, 399, 515, 777, 3183, 1155, 16071, 7339, 59985, 56659, 200701}},
+{18808, 18, 90934, {1, 3, 3, 1, 15, 33, 119, 145, 71, 517, 1775, 163, 5307, 1549, 31071, 56289, 128395, 230381}},
+{18809, 18, 90946, {1, 3, 1, 7, 7, 47, 97, 187, 193, 887, 515, 1301, 4841, 12069, 413, 41503, 36421, 45909}},
+{18810, 18, 90981, {1, 1, 5, 3, 17, 21, 53, 227, 137, 865, 715, 3601, 5027, 2983, 24113, 23349, 106391, 188193}},
+{18811, 18, 90999, {1, 3, 7, 15, 29, 37, 91, 235, 351, 15, 425, 681, 187, 1517, 30079, 41347, 49691, 66369}},
+{18812, 18, 91003, {1, 1, 5, 5, 15, 25, 93, 245, 397, 517, 1635, 2475, 5543, 9597, 27721, 21475, 79571, 259011}},
+{18813, 18, 91019, {1, 1, 1, 5, 21, 29, 5, 161, 37, 409, 1661, 3371, 5663, 4317, 9951, 23605, 7393, 90593}},
+{18814, 18, 91022, {1, 1, 3, 15, 21, 51, 79, 159, 209, 891, 1391, 2895, 5003, 6601, 17983, 42359, 104497, 162181}},
+{18815, 18, 91050, {1, 3, 7, 11, 23, 51, 99, 145, 21, 345, 1389, 1035, 5939, 8293, 22765, 23331, 7789, 115149}},
+{18816, 18, 91055, {1, 1, 5, 11, 27, 61, 115, 123, 317, 607, 463, 779, 5121, 3861, 18761, 39407, 125837, 244163}},
+{18817, 18, 91064, {1, 1, 7, 3, 15, 9, 33, 1, 437, 621, 31, 147, 8157, 3451, 18223, 61187, 125297, 211225}},
+{18818, 18, 91078, {1, 3, 1, 11, 27, 55, 21, 251, 5, 57, 1889, 71, 3745, 499, 9043, 62683, 21945, 138615}},
+{18819, 18, 91117, {1, 1, 3, 13, 25, 9, 1, 31, 277, 373, 507, 301, 2341, 1741, 11997, 47661, 44121, 183151}},
+{18820, 18, 91120, {1, 3, 3, 5, 15, 51, 5, 233, 475, 397, 1833, 1267, 7025, 2593, 15425, 47053, 16205, 208007}},
+{18821, 18, 91129, {1, 3, 3, 9, 31, 51, 123, 219, 493, 789, 659, 985, 7283, 11545, 15383, 25173, 130423, 196619}},
+{18822, 18, 91140, {1, 1, 1, 15, 9, 17, 37, 145, 297, 933, 1019, 1699, 2149, 12391, 17003, 42157, 126283, 252231}},
+{18823, 18, 91157, {1, 3, 5, 9, 17, 1, 91, 69, 335, 857, 925, 3855, 2225, 6909, 19101, 12191, 92117, 229077}},
+{18824, 18, 91161, {1, 3, 5, 13, 5, 21, 67, 17, 307, 879, 1563, 3169, 745, 6799, 27237, 39621, 1413, 146295}},
+{18825, 18, 91240, {1, 3, 7, 13, 17, 59, 23, 253, 415, 761, 451, 2773, 3523, 10985, 29853, 7275, 79521, 133447}},
+{18826, 18, 91260, {1, 1, 1, 1, 15, 43, 89, 19, 85, 837, 1335, 1641, 105, 5429, 8317, 45555, 104447, 102313}},
+{18827, 18, 91270, {1, 3, 3, 5, 17, 21, 67, 235, 367, 265, 1069, 835, 5457, 177, 26987, 39477, 6895, 123283}},
+{18828, 18, 91287, {1, 1, 5, 15, 19, 61, 5, 15, 487, 291, 661, 825, 1569, 8795, 13035, 57077, 112847, 160267}},
+{18829, 18, 91321, {1, 1, 7, 9, 27, 21, 91, 133, 361, 7, 447, 3035, 3523, 13167, 15927, 35555, 35713, 91291}},
+{18830, 18, 91336, {1, 3, 7, 11, 17, 23, 77, 255, 437, 897, 1185, 1633, 6451, 13081, 29097, 61335, 39671, 177835}},
+{18831, 18, 91341, {1, 1, 7, 5, 31, 49, 81, 221, 167, 241, 1895, 1813, 1493, 2475, 379, 5685, 116341, 121823}},
+{18832, 18, 91378, {1, 3, 5, 9, 25, 11, 117, 253, 337, 381, 743, 69, 1641, 3649, 26335, 59683, 28729, 83449}},
+{18833, 18, 91398, {1, 3, 1, 7, 15, 17, 59, 9, 129, 233, 1905, 1371, 6521, 8953, 26173, 9707, 70817, 260035}},
+{18834, 18, 91437, {1, 3, 1, 5, 19, 53, 23, 255, 305, 835, 1387, 2947, 3013, 9117, 27571, 47123, 49881, 47229}},
+{18835, 18, 91440, {1, 1, 3, 5, 23, 37, 123, 193, 365, 49, 1211, 3083, 8133, 14205, 11361, 55945, 23225, 159109}},
+{18836, 18, 91475, {1, 1, 7, 11, 5, 49, 43, 165, 97, 581, 617, 3045, 6187, 8399, 24045, 46713, 28389, 156811}},
+{18837, 18, 91494, {1, 3, 1, 5, 29, 17, 75, 231, 59, 143, 2041, 2319, 2289, 11805, 4039, 29895, 91305, 179091}},
+{18838, 18, 91500, {1, 1, 7, 7, 29, 5, 13, 43, 409, 81, 751, 2157, 2543, 13317, 28275, 60871, 119833, 36743}},
+{18839, 18, 91511, {1, 1, 5, 13, 5, 5, 21, 101, 497, 993, 157, 647, 3587, 1495, 20233, 30889, 112579, 172009}},
+{18840, 18, 91567, {1, 1, 7, 13, 7, 19, 101, 217, 305, 897, 1305, 1693, 6881, 2415, 17373, 56327, 53971, 19021}},
+{18841, 18, 91572, {1, 1, 7, 15, 31, 61, 93, 99, 459, 999, 239, 969, 2427, 12295, 23699, 4839, 73707, 110365}},
+{18842, 18, 91601, {1, 3, 5, 9, 15, 59, 29, 35, 15, 331, 93, 529, 2651, 5675, 3039, 25967, 2907, 222053}},
+{18843, 18, 91617, {1, 3, 3, 1, 1, 17, 59, 81, 495, 917, 1907, 3, 1989, 14339, 21311, 60909, 39393, 54115}},
+{18844, 18, 91653, {1, 3, 1, 9, 1, 37, 31, 201, 251, 117, 1753, 2453, 5007, 6935, 1165, 49231, 51495, 200219}},
+{18845, 18, 91678, {1, 1, 3, 3, 15, 47, 17, 175, 77, 363, 1455, 1417, 1357, 2295, 31165, 53337, 97891, 145621}},
+{18846, 18, 91705, {1, 3, 3, 3, 27, 31, 41, 179, 47, 629, 5, 2543, 6817, 8953, 7151, 20715, 52363, 251037}},
+{18847, 18, 91723, {1, 3, 1, 1, 21, 11, 103, 87, 285, 189, 1911, 2979, 7563, 13405, 2309, 25695, 106277, 179493}},
+{18848, 18, 91725, {1, 1, 1, 5, 7, 19, 1, 233, 261, 825, 1071, 3529, 5617, 11207, 24559, 47461, 79753, 41009}},
+{18849, 18, 91733, {1, 1, 3, 1, 15, 35, 65, 157, 381, 509, 1455, 3117, 31, 2251, 29729, 33687, 74999, 214765}},
+{18850, 18, 91761, {1, 1, 7, 11, 31, 43, 11, 147, 509, 891, 1929, 357, 3905, 16251, 30169, 27787, 124003, 142587}},
+{18851, 18, 91768, {1, 1, 7, 11, 3, 31, 93, 161, 311, 377, 1119, 2177, 4339, 3889, 24299, 35167, 87583, 145611}},
+{18852, 18, 91790, {1, 1, 5, 9, 23, 9, 73, 85, 233, 919, 1319, 13, 3353, 1029, 31251, 17731, 86759, 11705}},
+{18853, 18, 91804, {1, 1, 1, 7, 27, 23, 67, 235, 207, 161, 697, 2433, 833, 5305, 32695, 29327, 25285, 51289}},
+{18854, 18, 91807, {1, 3, 3, 3, 31, 55, 107, 211, 61, 993, 1443, 463, 5029, 5401, 8821, 29721, 113939, 194839}},
+{18855, 18, 91808, {1, 1, 1, 11, 11, 33, 39, 167, 17, 863, 363, 3967, 2277, 4053, 15403, 31887, 98565, 217953}},
+{18856, 18, 91818, {1, 1, 7, 1, 21, 47, 97, 147, 155, 327, 1417, 3531, 7649, 8975, 21221, 57631, 72611, 97745}},
+{18857, 18, 91840, {1, 3, 3, 1, 1, 63, 19, 91, 105, 991, 819, 673, 7845, 14947, 1633, 40517, 91525, 151041}},
+{18858, 18, 91849, {1, 1, 7, 11, 25, 43, 57, 141, 65, 415, 1045, 3947, 7099, 11653, 29321, 51591, 2591, 44803}},
+{18859, 18, 91869, {1, 3, 1, 9, 15, 19, 105, 37, 485, 3, 213, 1217, 951, 5637, 1589, 25501, 95073, 124683}},
+{18860, 18, 91873, {1, 1, 5, 7, 13, 19, 55, 143, 507, 575, 715, 1633, 5201, 10493, 26041, 18407, 8097, 152313}},
+{18861, 18, 91876, {1, 1, 3, 5, 9, 51, 5, 171, 143, 877, 1571, 2997, 4209, 13423, 9389, 23015, 6665, 254799}},
+{18862, 18, 91888, {1, 3, 5, 15, 31, 43, 87, 79, 89, 463, 1075, 1257, 1631, 13225, 13529, 53267, 73651, 89125}},
+{18863, 18, 91891, {1, 3, 7, 13, 23, 17, 93, 113, 45, 225, 1939, 3301, 6031, 9749, 16577, 12857, 68437, 169861}},
+{18864, 18, 91897, {1, 3, 3, 15, 31, 11, 91, 127, 227, 813, 105, 901, 6861, 10627, 18425, 2553, 102503, 83167}},
+{18865, 18, 91911, {1, 3, 3, 13, 17, 63, 83, 163, 451, 659, 1995, 2283, 6297, 8097, 20935, 6017, 4977, 5045}},
+{18866, 18, 91965, {1, 1, 5, 13, 27, 47, 103, 129, 259, 975, 391, 2343, 6639, 1385, 30187, 35401, 74321, 24751}},
+{18867, 18, 91971, {1, 3, 1, 13, 1, 57, 37, 65, 57, 413, 63, 3819, 5915, 3925, 20777, 48539, 3019, 54965}},
+{18868, 18, 91988, {1, 1, 7, 3, 7, 13, 91, 33, 143, 489, 657, 3127, 707, 10841, 11307, 37855, 92697, 119189}},
+{18869, 18, 91992, {1, 1, 3, 11, 25, 47, 11, 57, 463, 693, 55, 501, 3765, 15443, 12917, 61677, 97145, 213637}},
+{18870, 18, 92004, {1, 3, 1, 1, 13, 49, 13, 225, 101, 475, 627, 1447, 7587, 11335, 3599, 20795, 72915, 174663}},
+{18871, 18, 92021, {1, 3, 7, 5, 31, 15, 115, 255, 329, 365, 959, 3399, 4695, 14537, 1447, 17391, 88557, 130213}},
+{18872, 18, 92035, {1, 1, 1, 9, 25, 47, 29, 173, 29, 149, 291, 691, 7621, 7607, 20769, 7149, 27323, 57689}},
+{18873, 18, 92068, {1, 3, 5, 15, 3, 61, 119, 247, 25, 495, 1297, 1119, 8011, 16077, 21567, 30559, 88455, 68763}},
+{18874, 18, 92098, {1, 1, 7, 1, 11, 47, 109, 115, 313, 517, 1951, 3319, 337, 11793, 22345, 33457, 47383, 213893}},
+{18875, 18, 92104, {1, 1, 5, 11, 11, 53, 103, 237, 383, 927, 421, 4085, 3327, 169, 9941, 24753, 65437, 108173}},
+{18876, 18, 92121, {1, 1, 5, 11, 17, 59, 107, 53, 479, 143, 825, 2667, 5219, 6143, 11573, 33637, 124981, 98195}},
+{18877, 18, 92127, {1, 3, 3, 13, 3, 17, 61, 129, 475, 585, 1611, 1791, 7817, 4099, 20437, 51411, 130173, 220085}},
+{18878, 18, 92151, {1, 3, 3, 3, 27, 25, 33, 255, 361, 967, 1415, 3213, 3341, 15875, 32359, 53267, 27665, 178301}},
+{18879, 18, 92162, {1, 1, 5, 3, 13, 9, 91, 187, 173, 525, 1675, 2217, 4093, 2009, 16917, 18485, 104849, 163233}},
+{18880, 18, 92186, {1, 1, 1, 11, 3, 17, 125, 157, 9, 429, 1573, 2257, 7943, 9893, 5611, 64619, 4509, 200181}},
+{18881, 18, 92191, {1, 3, 1, 1, 3, 9, 83, 53, 315, 85, 1093, 2621, 663, 12369, 317, 6089, 16479, 225071}},
+{18882, 18, 92192, {1, 3, 3, 1, 25, 47, 57, 45, 219, 45, 945, 3989, 4889, 8989, 381, 52483, 57029, 253899}},
+{18883, 18, 92207, {1, 3, 3, 5, 3, 61, 75, 189, 53, 489, 553, 2381, 7485, 9941, 29733, 2611, 74119, 203647}},
+{18884, 18, 92260, {1, 3, 1, 11, 27, 63, 53, 61, 59, 613, 465, 867, 1985, 7605, 14301, 53847, 68547, 14717}},
+{18885, 18, 92282, {1, 3, 5, 11, 5, 41, 51, 11, 59, 761, 59, 267, 7273, 3061, 11223, 48825, 117869, 158551}},
+{18886, 18, 92288, {1, 3, 7, 1, 31, 47, 111, 43, 435, 997, 135, 3369, 6439, 5637, 13629, 13221, 90607, 86359}},
+{18887, 18, 92297, {1, 1, 1, 11, 23, 51, 109, 223, 495, 765, 1557, 3545, 305, 4949, 23931, 45115, 12121, 14487}},
+{18888, 18, 92303, {1, 3, 5, 9, 5, 25, 41, 249, 27, 375, 1339, 3647, 3529, 2077, 21091, 45523, 67191, 1257}},
+{18889, 18, 92315, {1, 1, 3, 7, 13, 15, 63, 45, 187, 761, 1245, 3381, 1817, 2491, 16469, 64417, 87333, 143103}},
+{18890, 18, 92322, {1, 1, 3, 13, 11, 33, 87, 11, 279, 689, 1047, 3935, 5359, 11309, 19735, 33259, 12347, 183653}},
+{18891, 18, 92327, {1, 1, 5, 7, 5, 49, 109, 221, 455, 167, 785, 1859, 4337, 14937, 209, 23435, 22923, 172985}},
+{18892, 18, 92341, {1, 3, 7, 9, 13, 7, 127, 117, 147, 741, 531, 2627, 2565, 11083, 30577, 42471, 77065, 120983}},
+{18893, 18, 92389, {1, 1, 7, 1, 5, 61, 115, 203, 15, 305, 1005, 2085, 2597, 4371, 11661, 33219, 53657, 40325}},
+{18894, 18, 92390, {1, 3, 7, 13, 13, 15, 69, 167, 369, 747, 1115, 1493, 4881, 2693, 32281, 27089, 56821, 121693}},
+{18895, 18, 92422, {1, 3, 5, 3, 19, 51, 101, 29, 411, 509, 847, 1033, 4135, 15561, 7045, 60757, 48479, 247295}},
+{18896, 18, 92439, {1, 1, 5, 3, 27, 47, 103, 123, 413, 71, 689, 2113, 4347, 1983, 25727, 20095, 3271, 133081}},
+{18897, 18, 92452, {1, 1, 3, 3, 5, 39, 87, 27, 505, 631, 689, 2591, 1955, 3205, 12681, 10821, 13343, 101505}},
+{18898, 18, 92470, {1, 3, 7, 9, 31, 23, 103, 223, 499, 721, 13, 1399, 7369, 3945, 27727, 7923, 60265, 197793}},
+{18899, 18, 92473, {1, 3, 3, 5, 27, 7, 119, 23, 371, 495, 1583, 3913, 5139, 12151, 17477, 10907, 121775, 13369}},
+{18900, 18, 92493, {1, 3, 7, 1, 19, 53, 91, 235, 161, 97, 37, 1115, 5909, 1943, 8137, 1541, 16253, 252151}},
+{18901, 18, 92508, {1, 3, 7, 5, 3, 1, 107, 241, 187, 253, 1225, 2827, 4191, 2749, 25629, 47465, 19969, 45035}},
+{18902, 18, 92517, {1, 3, 1, 5, 1, 29, 47, 233, 175, 313, 793, 2089, 6235, 6595, 27599, 20505, 63379, 8729}},
+{18903, 18, 92529, {1, 3, 7, 11, 15, 9, 87, 113, 389, 1, 1057, 3307, 3455, 1847, 1497, 28115, 92897, 2383}},
+{18904, 18, 92551, {1, 3, 7, 13, 19, 59, 45, 59, 49, 273, 1619, 1975, 5949, 9951, 7685, 52559, 42377, 29855}},
+{18905, 18, 92557, {1, 1, 3, 9, 19, 7, 119, 35, 85, 37, 269, 3443, 8015, 8061, 6001, 19123, 70643, 115513}},
+{18906, 18, 92596, {1, 1, 3, 15, 3, 19, 83, 171, 259, 207, 1495, 513, 5455, 4071, 27471, 15773, 66301, 228743}},
+{18907, 18, 92611, {1, 3, 7, 9, 3, 27, 93, 3, 471, 13, 677, 4067, 1941, 15345, 26629, 29419, 121593, 108669}},
+{18908, 18, 92613, {1, 3, 7, 15, 29, 43, 97, 41, 15, 181, 1969, 1901, 7237, 3879, 19337, 17659, 17957, 164667}},
+{18909, 18, 92642, {1, 3, 1, 1, 25, 33, 7, 41, 387, 469, 795, 781, 113, 4161, 29687, 32225, 73905, 137879}},
+{18910, 18, 92666, {1, 1, 3, 13, 9, 59, 89, 23, 393, 111, 1957, 719, 6179, 16183, 31331, 48015, 32147, 31691}},
+{18911, 18, 92684, {1, 3, 7, 5, 9, 45, 73, 219, 181, 51, 717, 1813, 2581, 1395, 17595, 23689, 89709, 201451}},
+{18912, 18, 92723, {1, 3, 7, 3, 1, 21, 15, 35, 131, 515, 803, 1429, 3855, 349, 11795, 26787, 6109, 117745}},
+{18913, 18, 92732, {1, 3, 3, 9, 7, 11, 57, 15, 491, 371, 1787, 85, 577, 11455, 27419, 20687, 2493, 209993}},
+{18914, 18, 92738, {1, 3, 7, 15, 5, 5, 87, 197, 93, 643, 247, 31, 357, 7377, 10509, 29883, 42747, 248861}},
+{18915, 18, 92783, {1, 3, 3, 3, 29, 33, 47, 253, 485, 25, 2003, 2953, 1629, 11549, 5697, 1135, 117761, 96411}},
+{18916, 18, 92808, {1, 3, 5, 1, 29, 5, 27, 187, 235, 423, 41, 1855, 4359, 15627, 28409, 49331, 37735, 68823}},
+{18917, 18, 92816, {1, 1, 5, 5, 21, 61, 67, 85, 41, 671, 1617, 3867, 7913, 1693, 18487, 1831, 100971, 168191}},
+{18918, 18, 92835, {1, 1, 7, 3, 1, 61, 111, 87, 55, 229, 217, 2801, 563, 13617, 9641, 22247, 16039, 113541}},
+{18919, 18, 92847, {1, 3, 5, 7, 5, 29, 67, 99, 91, 561, 1203, 643, 2607, 13421, 29695, 31925, 82985, 69031}},
+{18920, 18, 92879, {1, 1, 1, 1, 27, 7, 63, 107, 269, 163, 1711, 587, 5657, 15077, 24709, 10235, 95483, 94799}},
+{18921, 18, 92881, {1, 3, 3, 5, 29, 5, 127, 137, 67, 609, 1657, 1131, 959, 15773, 17295, 58575, 96525, 80529}},
+{18922, 18, 92884, {1, 3, 7, 7, 25, 15, 89, 93, 145, 695, 367, 2853, 3073, 4867, 26823, 31467, 94769, 9145}},
+{18923, 18, 92932, {1, 1, 7, 15, 15, 5, 1, 225, 57, 381, 1295, 2525, 1493, 2401, 91, 19809, 32803, 195289}},
+{18924, 18, 92935, {1, 3, 3, 7, 29, 51, 29, 63, 249, 107, 1689, 3703, 7227, 6967, 27861, 39167, 20043, 218827}},
+{18925, 18, 92960, {1, 1, 3, 13, 17, 1, 77, 143, 167, 255, 1709, 2089, 7465, 4805, 16185, 15167, 20493, 240855}},
+{18926, 18, 92990, {1, 1, 5, 1, 11, 43, 107, 175, 93, 955, 615, 2923, 3637, 7451, 18847, 53467, 12463, 127249}},
+{18927, 18, 93010, {1, 1, 3, 13, 31, 1, 61, 113, 479, 777, 1805, 3625, 6299, 12221, 29599, 60175, 31165, 122815}},
+{18928, 18, 93025, {1, 3, 3, 11, 11, 29, 89, 129, 195, 337, 1843, 2769, 1747, 7137, 9901, 18459, 25215, 70609}},
+{18929, 18, 93046, {1, 1, 3, 7, 17, 35, 55, 81, 413, 25, 1505, 2185, 3121, 11435, 17885, 12543, 36767, 64039}},
+{18930, 18, 93085, {1, 3, 1, 13, 25, 9, 83, 25, 5, 49, 1975, 3967, 4135, 13213, 26479, 63913, 14921, 96193}},
+{18931, 18, 93089, {1, 3, 7, 5, 17, 15, 101, 47, 245, 821, 1275, 3343, 5471, 5045, 31741, 3319, 8141, 95501}},
+{18932, 18, 93096, {1, 3, 1, 13, 1, 5, 105, 39, 175, 439, 1625, 249, 4859, 12449, 30529, 45669, 49071, 214037}},
+{18933, 18, 93145, {1, 1, 7, 7, 17, 21, 83, 123, 261, 559, 1967, 2933, 4417, 8331, 10119, 21793, 128729, 187247}},
+{18934, 18, 93155, {1, 1, 7, 9, 15, 43, 77, 231, 241, 419, 503, 3335, 927, 2567, 31259, 52453, 114441, 257449}},
+{18935, 18, 93169, {1, 3, 3, 1, 9, 29, 21, 89, 311, 185, 519, 271, 3595, 8951, 6105, 64593, 38209, 120491}},
+{18936, 18, 93179, {1, 1, 7, 9, 1, 57, 65, 5, 275, 615, 801, 2839, 2851, 15609, 28731, 31223, 87725, 437}},
+{18937, 18, 93184, {1, 3, 3, 5, 29, 3, 67, 53, 17, 499, 263, 651, 7963, 5371, 11593, 34761, 57427, 84979}},
+{18938, 18, 93204, {1, 3, 7, 11, 15, 9, 33, 165, 313, 659, 909, 969, 2309, 2197, 27263, 35273, 52887, 236107}},
+{18939, 18, 93211, {1, 1, 7, 1, 13, 17, 29, 3, 329, 573, 619, 1013, 6947, 7031, 30773, 41129, 116481, 184233}},
+{18940, 18, 93213, {1, 1, 5, 9, 13, 5, 87, 235, 63, 759, 1143, 1861, 3783, 2735, 26191, 64387, 3651, 119447}},
+{18941, 18, 93227, {1, 1, 3, 7, 15, 41, 117, 135, 273, 655, 251, 1859, 4363, 14725, 29385, 6269, 91505, 82679}},
+{18942, 18, 93285, {1, 3, 7, 3, 13, 21, 21, 9, 121, 899, 199, 1973, 7437, 9771, 26647, 30909, 118573, 152913}},
+{18943, 18, 93292, {1, 3, 3, 9, 31, 43, 5, 249, 109, 183, 161, 1185, 4025, 10331, 20983, 28549, 122687, 183429}},
+{18944, 18, 93320, {1, 3, 7, 7, 11, 45, 111, 99, 487, 971, 597, 1555, 273, 10403, 25289, 45483, 35845, 35791}},
+{18945, 18, 93356, {1, 1, 1, 7, 11, 49, 125, 229, 279, 289, 1945, 3575, 5683, 15659, 31123, 12517, 79303, 255797}},
+{18946, 18, 93371, {1, 3, 1, 15, 9, 23, 61, 53, 383, 855, 1743, 407, 4401, 7507, 26307, 56205, 110943, 184183}},
+{18947, 18, 93374, {1, 3, 5, 13, 23, 29, 101, 243, 417, 925, 1267, 257, 5893, 4335, 6309, 43519, 126035, 99205}},
+{18948, 18, 93385, {1, 3, 1, 5, 5, 35, 83, 25, 31, 455, 1799, 2919, 7037, 11829, 12239, 12969, 108469, 89513}},
+{18949, 18, 93403, {1, 3, 5, 9, 17, 29, 61, 217, 183, 131, 425, 4025, 7141, 5445, 21497, 10603, 53423, 5701}},
+{18950, 18, 93406, {1, 1, 1, 15, 27, 35, 9, 139, 261, 43, 587, 3835, 4627, 11689, 15739, 6031, 73547, 134271}},
+{18951, 18, 93427, {1, 1, 3, 3, 25, 15, 7, 225, 29, 785, 2047, 2219, 6083, 7973, 17053, 56167, 83915, 87597}},
+{18952, 18, 93451, {1, 3, 7, 15, 13, 43, 85, 121, 421, 867, 1895, 2437, 6003, 5269, 8625, 26877, 100023, 110229}},
+{18953, 18, 93454, {1, 3, 3, 3, 25, 49, 121, 1, 125, 353, 1811, 1575, 3925, 13897, 26087, 24977, 105995, 242817}},
+{18954, 18, 93472, {1, 1, 1, 9, 31, 55, 71, 241, 439, 927, 955, 109, 7779, 2397, 18797, 34177, 1255, 178671}},
+{18955, 18, 93482, {1, 1, 7, 7, 5, 15, 99, 225, 49, 407, 1711, 4027, 4845, 9209, 20983, 33969, 14205, 9351}},
+{18956, 18, 93507, {1, 3, 5, 1, 9, 13, 113, 143, 97, 189, 929, 1163, 2261, 9761, 30011, 32911, 117043, 169493}},
+{18957, 18, 93537, {1, 1, 3, 5, 9, 35, 95, 77, 5, 95, 1745, 2013, 7009, 5427, 18969, 2771, 5099, 52939}},
+{18958, 18, 93562, {1, 3, 7, 9, 13, 19, 31, 189, 367, 569, 95, 1665, 6231, 2169, 22589, 8427, 116097, 41077}},
+{18959, 18, 93564, {1, 3, 7, 3, 31, 61, 45, 233, 327, 541, 87, 3449, 2767, 12237, 17747, 53827, 80389, 121489}},
+{18960, 18, 93608, {1, 3, 7, 15, 31, 1, 49, 73, 157, 131, 553, 3417, 5283, 4737, 31675, 63213, 43689, 261869}},
+{18961, 18, 93636, {1, 3, 7, 1, 3, 5, 113, 43, 343, 39, 135, 1555, 7955, 9851, 30983, 21955, 34871, 147649}},
+{18962, 18, 93640, {1, 3, 5, 3, 5, 27, 15, 179, 141, 983, 265, 2651, 5907, 10501, 6275, 29629, 115965, 125745}},
+{18963, 18, 93653, {1, 3, 7, 13, 1, 1, 81, 105, 309, 457, 1817, 3435, 4615, 1181, 27835, 26075, 63447, 44701}},
+{18964, 18, 93654, {1, 1, 5, 5, 25, 19, 85, 103, 409, 323, 2001, 3719, 3403, 1301, 19615, 47829, 109905, 65777}},
+{18965, 18, 93664, {1, 3, 5, 3, 21, 15, 47, 75, 467, 273, 1885, 3929, 1877, 5209, 6881, 34431, 35663, 100205}},
+{18966, 18, 93676, {1, 1, 5, 3, 3, 9, 47, 143, 471, 653, 1011, 2263, 3673, 11921, 31207, 50365, 27177, 214377}},
+{18967, 18, 93721, {1, 3, 1, 15, 3, 43, 81, 253, 495, 139, 679, 2207, 4603, 5269, 27133, 46461, 120783, 185595}},
+{18968, 18, 93740, {1, 1, 7, 3, 13, 3, 109, 197, 477, 101, 859, 1035, 777, 10153, 15581, 22715, 17493, 120851}},
+{18969, 18, 93743, {1, 3, 1, 3, 23, 5, 121, 67, 265, 935, 741, 3311, 541, 1093, 1639, 5941, 5587, 150345}},
+{18970, 18, 93745, {1, 3, 1, 5, 3, 13, 65, 173, 493, 303, 359, 3813, 6007, 1105, 12185, 10431, 17117, 164899}},
+{18971, 18, 93751, {1, 3, 3, 1, 25, 33, 71, 181, 149, 7, 333, 1981, 2981, 14683, 10997, 63373, 22605, 119681}},
+{18972, 18, 93770, {1, 1, 1, 15, 29, 35, 89, 21, 281, 175, 587, 3117, 7221, 8239, 26399, 49133, 65895, 142175}},
+{18973, 18, 93796, {1, 3, 7, 15, 9, 9, 35, 161, 65, 749, 421, 3575, 6307, 2029, 11423, 63901, 102049, 26333}},
+{18974, 18, 93820, {1, 3, 1, 13, 1, 45, 97, 41, 231, 245, 271, 1497, 3119, 6225, 21665, 12113, 67315, 62779}},
+{18975, 18, 93824, {1, 1, 1, 7, 3, 29, 119, 193, 179, 353, 1015, 2803, 6869, 7653, 22309, 53421, 86969, 115549}},
+{18976, 18, 93833, {1, 3, 3, 5, 17, 37, 49, 129, 195, 537, 1237, 2775, 6683, 699, 19181, 61125, 27483, 175645}},
+{18977, 18, 93841, {1, 3, 7, 3, 7, 49, 107, 41, 285, 335, 1415, 4015, 1301, 6525, 32429, 9337, 87923, 176751}},
+{18978, 18, 93847, {1, 1, 5, 9, 21, 43, 91, 25, 225, 311, 417, 303, 2629, 3609, 29987, 28647, 104173, 52383}},
+{18979, 18, 93848, {1, 3, 5, 9, 13, 47, 75, 143, 109, 173, 503, 3843, 1767, 9433, 10009, 5653, 87339, 212975}},
+{18980, 18, 93854, {1, 3, 1, 13, 13, 55, 123, 95, 499, 245, 1875, 3661, 7661, 6927, 21003, 51729, 88089, 89063}},
+{18981, 18, 93882, {1, 1, 3, 1, 31, 7, 93, 35, 169, 191, 1079, 2137, 4401, 1563, 20021, 9101, 66881, 231589}},
+{18982, 18, 93943, {1, 3, 1, 15, 21, 41, 75, 231, 459, 701, 1715, 2581, 4445, 5877, 4765, 1037, 15827, 189529}},
+{18983, 18, 93958, {1, 3, 5, 13, 17, 23, 41, 133, 143, 297, 1335, 3907, 7745, 5139, 9397, 5765, 5347, 243091}},
+{18984, 18, 93972, {1, 1, 5, 13, 7, 15, 31, 183, 315, 153, 785, 2723, 97, 14361, 10509, 17717, 46615, 133289}},
+{18985, 18, 93975, {1, 3, 7, 9, 13, 3, 75, 103, 445, 409, 603, 201, 1873, 9277, 23953, 6881, 64327, 196771}},
+{18986, 18, 94003, {1, 1, 7, 13, 15, 21, 73, 183, 419, 997, 857, 1373, 3855, 417, 10175, 5253, 66509, 15731}},
+{18987, 18, 94009, {1, 3, 3, 9, 19, 7, 15, 119, 497, 25, 1165, 105, 2605, 15097, 28241, 2269, 519, 235655}},
+{18988, 18, 94020, {1, 3, 3, 9, 27, 9, 103, 205, 97, 317, 1621, 971, 931, 9099, 24583, 12695, 122399, 78021}},
+{18989, 18, 94072, {1, 1, 3, 5, 27, 45, 41, 239, 87, 603, 317, 3507, 7677, 9141, 26721, 40225, 80515, 205263}},
+{18990, 18, 94081, {1, 1, 3, 1, 25, 3, 63, 165, 41, 783, 291, 1997, 3769, 1881, 30613, 18821, 86175, 38837}},
+{18991, 18, 94093, {1, 1, 3, 5, 17, 19, 95, 17, 357, 587, 689, 3127, 6999, 6703, 23923, 55945, 97629, 210177}},
+{18992, 18, 94102, {1, 1, 3, 15, 21, 55, 63, 229, 397, 1007, 779, 2105, 681, 10659, 26679, 681, 115901, 83627}},
+{18993, 18, 94122, {1, 1, 7, 11, 25, 9, 47, 133, 109, 17, 697, 749, 5529, 9289, 29675, 2631, 15247, 13913}},
+{18994, 18, 94135, {1, 1, 7, 7, 3, 55, 29, 13, 467, 889, 675, 1187, 3301, 13721, 13783, 44559, 78177, 114219}},
+{18995, 18, 94136, {1, 3, 5, 13, 15, 11, 77, 71, 313, 427, 1385, 2007, 4003, 1529, 4797, 12289, 24897, 129513}},
+{18996, 18, 94150, {1, 1, 3, 11, 9, 47, 103, 253, 345, 659, 1109, 3493, 2515, 5669, 30551, 25077, 97393, 252689}},
+{18997, 18, 94184, {1, 3, 7, 9, 25, 19, 69, 161, 365, 51, 1365, 1045, 4319, 10035, 15529, 23251, 44359, 62163}},
+{18998, 18, 94187, {1, 3, 1, 7, 3, 25, 119, 33, 19, 561, 659, 2741, 6177, 899, 30911, 9627, 83003, 12939}},
+{18999, 18, 94258, {1, 3, 7, 1, 13, 37, 19, 161, 427, 621, 1045, 1963, 6067, 4439, 32507, 32775, 5201, 144645}},
+{19000, 18, 94264, {1, 1, 5, 7, 31, 17, 89, 239, 317, 109, 1827, 1395, 1587, 14813, 29911, 63545, 22939, 235383}},
+{19001, 18, 94272, {1, 1, 7, 15, 1, 17, 41, 123, 405, 539, 1063, 1443, 4611, 1847, 24107, 29365, 85859, 218601}},
+{19002, 18, 94278, {1, 1, 5, 13, 21, 27, 101, 223, 245, 705, 1579, 679, 5461, 8955, 15031, 7731, 31219, 165033}},
+{19003, 18, 94281, {1, 1, 7, 11, 19, 29, 13, 223, 179, 481, 761, 1543, 3195, 10695, 17147, 37577, 130901, 44699}},
+{19004, 18, 94317, {1, 1, 7, 3, 19, 53, 49, 1, 393, 583, 1183, 2817, 1293, 12949, 15491, 44467, 86261, 220439}},
+{19005, 18, 94348, {1, 3, 7, 15, 15, 47, 7, 125, 467, 511, 1207, 3787, 5575, 5359, 3859, 29933, 104627, 243073}},
+{19006, 18, 94376, {1, 1, 1, 13, 27, 25, 17, 243, 477, 457, 1835, 2859, 1023, 10107, 26829, 49853, 114569, 250471}},
+{19007, 18, 94382, {1, 3, 1, 15, 11, 43, 15, 235, 431, 671, 1935, 1143, 4121, 15403, 19313, 15919, 111961, 50455}},
+{19008, 18, 94387, {1, 3, 3, 3, 11, 45, 107, 143, 353, 671, 1259, 1599, 6075, 10645, 9131, 28133, 58679, 29883}},
+{19009, 18, 94389, {1, 3, 5, 15, 15, 43, 29, 171, 303, 71, 1751, 411, 7615, 12063, 26829, 31469, 34335, 3163}},
+{19010, 18, 94393, {1, 1, 7, 7, 25, 63, 25, 25, 27, 671, 505, 1235, 1985, 2593, 30031, 3251, 94729, 248911}},
+{19011, 18, 94402, {1, 1, 3, 1, 19, 15, 125, 133, 133, 209, 1749, 2091, 6325, 1275, 5675, 2249, 22631, 56293}},
+{19012, 18, 94421, {1, 1, 5, 1, 19, 27, 25, 99, 211, 739, 565, 3903, 7701, 7547, 12303, 5421, 24663, 22807}},
+{19013, 18, 94422, {1, 3, 5, 13, 5, 45, 99, 67, 21, 269, 851, 3333, 4555, 12483, 14645, 44757, 99047, 198521}},
+{19014, 18, 94431, {1, 1, 5, 13, 19, 1, 123, 87, 109, 799, 591, 2997, 1005, 16369, 10329, 34541, 100935, 200397}},
+{19015, 18, 94473, {1, 3, 5, 1, 13, 51, 93, 23, 19, 23, 965, 171, 6865, 3561, 23255, 44295, 87405, 222269}},
+{19016, 18, 94487, {1, 1, 3, 5, 1, 53, 25, 129, 123, 737, 271, 61, 113, 8481, 27075, 58633, 21499, 156689}},
+{19017, 18, 94504, {1, 3, 3, 11, 3, 43, 11, 123, 243, 1015, 1389, 3663, 1725, 6933, 5315, 7137, 127705, 56607}},
+{19018, 18, 94510, {1, 1, 5, 13, 7, 23, 43, 103, 503, 173, 267, 1509, 3311, 9553, 28851, 15771, 28741, 236427}},
+{19019, 18, 94522, {1, 1, 5, 15, 27, 43, 119, 3, 13, 107, 317, 3725, 6669, 4945, 30485, 10155, 96893, 154081}},
+{19020, 18, 94532, {1, 3, 7, 5, 11, 21, 61, 99, 155, 45, 569, 1325, 673, 15803, 12047, 55431, 9515, 106969}},
+{19021, 18, 94572, {1, 1, 7, 11, 27, 49, 121, 145, 105, 223, 1471, 1163, 3889, 4213, 21195, 45649, 14663, 82799}},
+{19022, 18, 94589, {1, 1, 3, 3, 31, 21, 17, 85, 31, 695, 1591, 2465, 907, 11621, 29681, 13131, 77187, 175913}},
+{19023, 18, 94599, {1, 3, 5, 5, 21, 49, 77, 229, 359, 825, 1851, 1223, 3351, 5349, 30971, 20797, 26975, 94425}},
+{19024, 18, 94603, {1, 1, 3, 1, 3, 63, 23, 219, 503, 47, 1675, 1641, 5257, 8035, 29793, 30093, 44897, 235691}},
+{19025, 18, 94647, {1, 1, 7, 9, 27, 37, 109, 33, 511, 203, 1195, 3281, 407, 15237, 28485, 21379, 106325, 231755}},
+{19026, 18, 94665, {1, 3, 1, 3, 9, 45, 19, 31, 255, 799, 909, 767, 421, 3301, 18557, 15043, 48505, 36763}},
+{19027, 18, 94695, {1, 3, 7, 13, 1, 45, 59, 233, 319, 265, 517, 1571, 4593, 12813, 30729, 19517, 70345, 142411}},
+{19028, 18, 94716, {1, 1, 1, 13, 17, 15, 79, 93, 265, 381, 285, 253, 919, 3715, 30555, 38801, 30439, 51511}},
+{19029, 18, 94738, {1, 1, 7, 15, 25, 39, 71, 57, 145, 487, 1655, 2589, 7655, 8413, 24537, 36761, 36427, 88929}},
+{19030, 18, 94740, {1, 1, 3, 3, 29, 41, 61, 191, 97, 849, 911, 3269, 5425, 13997, 7749, 537, 113705, 179765}},
+{19031, 18, 94778, {1, 1, 5, 9, 13, 55, 33, 221, 27, 521, 13, 2847, 6035, 8397, 6579, 29353, 101953, 88983}},
+{19032, 18, 94803, {1, 3, 3, 13, 31, 47, 97, 177, 373, 353, 159, 249, 4741, 7427, 8353, 38617, 13857, 122081}},
+{19033, 18, 94810, {1, 3, 5, 15, 13, 21, 1, 239, 369, 253, 1009, 1927, 5111, 2219, 28167, 32013, 51487, 210521}},
+{19034, 18, 94815, {1, 3, 5, 9, 17, 21, 37, 105, 405, 39, 321, 1515, 3759, 15469, 13643, 60157, 72127, 233505}},
+{19035, 18, 94821, {1, 3, 7, 5, 1, 3, 3, 125, 283, 757, 829, 2303, 3715, 6027, 17795, 37359, 54721, 5891}},
+{19036, 18, 94862, {1, 3, 7, 15, 27, 63, 117, 101, 341, 965, 1543, 51, 3397, 14051, 9889, 64647, 111169, 249477}},
+{19037, 18, 94886, {1, 1, 5, 13, 5, 29, 51, 61, 233, 685, 751, 163, 2319, 14691, 29881, 39029, 57093, 240147}},
+{19038, 18, 94900, {1, 3, 5, 3, 9, 21, 107, 147, 263, 471, 621, 3485, 197, 13271, 24689, 64341, 110163, 142711}},
+{19039, 18, 94924, {1, 3, 1, 7, 1, 23, 17, 31, 131, 631, 795, 3751, 5337, 9151, 2873, 31113, 65303, 244969}},
+{19040, 18, 94952, {1, 1, 5, 11, 3, 51, 93, 155, 389, 859, 1181, 2711, 1375, 6119, 229, 47767, 115521, 114129}},
+{19041, 18, 94963, {1, 3, 3, 15, 5, 7, 29, 187, 259, 911, 1537, 1885, 6139, 4549, 21655, 58771, 1003, 124609}},
+{19042, 18, 94970, {1, 1, 3, 15, 25, 45, 97, 217, 331, 305, 1105, 3465, 3651, 10171, 31601, 6947, 4545, 232627}},
+{19043, 18, 94980, {1, 1, 5, 5, 9, 53, 109, 201, 473, 201, 1113, 973, 1825, 13089, 1207, 9947, 92515, 216199}},
+{19044, 18, 94992, {1, 3, 7, 3, 1, 49, 25, 109, 249, 489, 1663, 3493, 4615, 13899, 27851, 60711, 14351, 41787}},
+{19045, 18, 95017, {1, 3, 3, 7, 3, 15, 29, 53, 61, 669, 371, 2187, 6769, 4623, 25785, 12997, 52263, 28387}},
+{19046, 18, 95028, {1, 1, 1, 3, 9, 31, 69, 3, 441, 219, 285, 183, 1971, 10903, 8271, 19389, 61913, 203537}},
+{19047, 18, 95031, {1, 1, 5, 3, 9, 63, 117, 131, 53, 525, 1349, 2701, 1317, 6047, 1661, 51785, 93199, 158645}},
+{19048, 18, 95035, {1, 3, 5, 3, 21, 61, 11, 91, 317, 635, 61, 1919, 2139, 12817, 6587, 63201, 52659, 8971}},
+{19049, 18, 95040, {1, 3, 1, 9, 11, 47, 49, 35, 115, 711, 511, 835, 3787, 837, 15737, 7467, 53263, 132047}},
+{19050, 18, 95058, {1, 1, 5, 3, 27, 47, 121, 211, 65, 363, 1067, 3813, 6353, 13701, 23943, 7573, 112721, 219587}},
+{19051, 18, 95079, {1, 1, 3, 7, 21, 39, 15, 199, 113, 517, 1429, 1399, 6007, 1389, 16425, 17709, 1231, 51803}},
+{19052, 18, 95122, {1, 3, 5, 11, 5, 37, 35, 97, 215, 281, 517, 1777, 4171, 10161, 18369, 23233, 83005, 75519}},
+{19053, 18, 95149, {1, 3, 7, 9, 3, 9, 69, 111, 135, 351, 971, 3551, 3739, 3571, 22861, 62669, 83723, 10707}},
+{19054, 18, 95150, {1, 3, 3, 5, 31, 35, 103, 205, 321, 553, 409, 363, 4085, 7735, 5513, 64249, 127883, 147839}},
+{19055, 18, 95167, {1, 1, 7, 3, 23, 35, 85, 231, 251, 237, 421, 757, 7081, 11247, 24941, 22649, 51111, 157383}},
+{19056, 18, 95175, {1, 3, 7, 5, 23, 35, 7, 101, 491, 529, 1437, 489, 5057, 12955, 27543, 60903, 104151, 42545}},
+{19057, 18, 95205, {1, 1, 3, 15, 23, 53, 85, 89, 247, 269, 1555, 3789, 467, 11145, 11751, 44343, 120117, 9975}},
+{19058, 18, 95229, {1, 1, 5, 3, 29, 49, 123, 179, 311, 45, 1839, 2725, 7307, 5525, 32075, 7979, 107751, 133677}},
+{19059, 18, 95321, {1, 1, 5, 3, 31, 21, 65, 229, 31, 597, 755, 2653, 2699, 2075, 11693, 28953, 55811, 13653}},
+{19060, 18, 95345, {1, 1, 1, 7, 25, 51, 119, 21, 245, 493, 407, 2997, 4255, 15487, 26359, 24153, 42955, 142191}},
+{19061, 18, 95364, {1, 1, 5, 3, 27, 61, 13, 209, 13, 401, 399, 2909, 3623, 8057, 21301, 32273, 112127, 210221}},
+{19062, 18, 95379, {1, 3, 5, 13, 3, 19, 121, 19, 57, 583, 947, 3591, 5283, 10831, 20429, 54097, 7559, 112465}},
+{19063, 18, 95386, {1, 3, 5, 1, 21, 1, 125, 245, 217, 165, 1319, 2119, 4641, 9481, 4147, 7079, 119015, 128401}},
+{19064, 18, 95395, {1, 1, 5, 3, 3, 31, 25, 63, 17, 191, 497, 819, 1515, 11215, 24961, 7679, 125801, 239521}},
+{19065, 18, 95416, {1, 1, 5, 1, 3, 25, 27, 43, 37, 863, 739, 2585, 773, 799, 17649, 21171, 123541, 164777}},
+{19066, 18, 95419, {1, 3, 5, 7, 7, 25, 15, 251, 305, 159, 1941, 3655, 2881, 15123, 10911, 35541, 62221, 175845}},
+{19067, 18, 95433, {1, 1, 1, 9, 19, 5, 103, 1, 417, 951, 139, 2413, 2983, 15471, 9495, 41349, 110175, 29501}},
+{19068, 18, 95464, {1, 1, 1, 5, 29, 53, 95, 173, 211, 803, 1599, 4093, 5559, 15855, 12271, 12583, 102221, 203453}},
+{19069, 18, 95490, {1, 3, 5, 5, 19, 43, 31, 175, 493, 289, 1865, 2925, 3833, 11327, 23337, 62669, 99485, 230583}},
+{19070, 18, 95496, {1, 3, 3, 11, 11, 25, 95, 215, 501, 421, 725, 1571, 2133, 2761, 8649, 45359, 88851, 55057}},
+{19071, 18, 95504, {1, 1, 7, 7, 21, 45, 69, 63, 399, 929, 1431, 3397, 3613, 14595, 10417, 62913, 106283, 120869}},
+{19072, 18, 95513, {1, 3, 7, 15, 13, 45, 11, 177, 125, 611, 1115, 2441, 2689, 12517, 8989, 34991, 23789, 51543}},
+{19073, 18, 95523, {1, 1, 3, 1, 3, 15, 5, 125, 511, 137, 1919, 2953, 5267, 3543, 5485, 7463, 130407, 255945}},
+{19074, 18, 95525, {1, 1, 3, 7, 7, 21, 95, 97, 51, 91, 813, 2819, 2839, 12041, 26197, 20143, 51403, 171337}},
+{19075, 18, 95558, {1, 1, 1, 1, 7, 27, 15, 125, 441, 387, 1869, 2157, 5863, 581, 893, 58827, 104063, 93735}},
+{19076, 18, 95572, {1, 3, 3, 7, 27, 9, 79, 97, 465, 207, 931, 2809, 2225, 13749, 18819, 30605, 9829, 130743}},
+{19077, 18, 95591, {1, 3, 5, 13, 31, 41, 19, 147, 293, 725, 297, 397, 1343, 12669, 15339, 58599, 12113, 149835}},
+{19078, 18, 95609, {1, 3, 3, 13, 27, 13, 121, 253, 349, 229, 915, 1673, 3819, 77, 20691, 53823, 78265, 138743}},
+{19079, 18, 95619, {1, 1, 5, 5, 29, 41, 65, 235, 123, 871, 1809, 3013, 3531, 1551, 8441, 23481, 58729, 117639}},
+{19080, 18, 95625, {1, 1, 7, 5, 23, 55, 89, 81, 201, 313, 1307, 2427, 2025, 8543, 26631, 58655, 122095, 247579}},
+{19081, 18, 95633, {1, 3, 1, 5, 3, 63, 89, 219, 449, 9, 1771, 2915, 5925, 13773, 26119, 61309, 65107, 33001}},
+{19082, 18, 95649, {1, 3, 7, 1, 27, 11, 25, 221, 139, 665, 1543, 2157, 7617, 9135, 567, 64985, 88749, 54223}},
+{19083, 18, 95652, {1, 1, 3, 9, 13, 41, 7, 99, 483, 115, 1499, 3343, 7207, 1805, 16031, 63707, 8555, 90959}},
+{19084, 18, 95655, {1, 3, 1, 9, 15, 53, 41, 239, 295, 47, 1645, 1095, 5163, 7739, 26635, 28245, 9315, 100629}},
+{19085, 18, 95696, {1, 3, 1, 5, 1, 19, 69, 5, 171, 669, 673, 633, 6895, 7571, 11539, 25133, 99235, 7991}},
+{19086, 18, 95721, {1, 3, 5, 11, 21, 37, 63, 77, 281, 307, 1711, 2671, 1315, 14683, 28757, 22751, 56477, 190805}},
+{19087, 18, 95766, {1, 3, 3, 5, 15, 1, 5, 21, 199, 161, 655, 1263, 3315, 16051, 2409, 773, 9075, 121265}},
+{19088, 18, 95772, {1, 3, 3, 3, 7, 23, 71, 195, 11, 263, 1845, 165, 3489, 447, 11315, 23861, 110949, 78909}},
+{19089, 18, 95775, {1, 1, 7, 5, 1, 53, 37, 9, 439, 135, 909, 457, 6993, 11401, 14065, 30795, 56149, 168013}},
+{19090, 18, 95794, {1, 1, 1, 15, 23, 37, 13, 87, 113, 251, 233, 725, 7757, 14399, 3023, 54277, 87879, 54053}},
+{19091, 18, 95796, {1, 3, 5, 11, 11, 57, 109, 171, 171, 17, 343, 2749, 6525, 9735, 11715, 23783, 54439, 82819}},
+{19092, 18, 95818, {1, 1, 1, 15, 3, 47, 73, 237, 399, 301, 947, 2055, 1909, 14105, 26893, 47805, 25, 172957}},
+{19093, 18, 95820, {1, 1, 7, 7, 11, 27, 93, 167, 117, 637, 351, 319, 4605, 12897, 31001, 39655, 53551, 246113}},
+{19094, 18, 95832, {1, 3, 5, 15, 3, 37, 25, 9, 421, 519, 257, 3251, 1649, 4069, 999, 59367, 112383, 32095}},
+{19095, 18, 95842, {1, 3, 7, 7, 25, 57, 11, 37, 271, 545, 1213, 1927, 6471, 5145, 22995, 51051, 126981, 260457}},
+{19096, 18, 95851, {1, 3, 5, 11, 1, 61, 77, 201, 395, 199, 477, 103, 4069, 7003, 26371, 49145, 103839, 195661}},
+{19097, 18, 95854, {1, 3, 3, 9, 13, 41, 25, 125, 161, 371, 179, 351, 7169, 7179, 21627, 57793, 104679, 158583}},
+{19098, 18, 95859, {1, 3, 7, 11, 5, 7, 111, 163, 201, 783, 189, 273, 2751, 13917, 28501, 18261, 12755, 15521}},
+{19099, 18, 95868, {1, 1, 5, 7, 3, 37, 121, 209, 503, 299, 1301, 3703, 2321, 99, 14953, 28087, 85059, 256911}},
+{19100, 18, 95881, {1, 3, 3, 13, 3, 29, 95, 249, 383, 971, 1291, 13, 1587, 3447, 26477, 15837, 111141, 73899}},
+{19101, 18, 95895, {1, 1, 7, 1, 17, 57, 31, 1, 219, 329, 19, 3841, 1829, 5179, 14945, 6625, 3783, 200583}},
+{19102, 18, 95943, {1, 3, 1, 3, 1, 31, 23, 17, 209, 383, 297, 3065, 4323, 7847, 30189, 56541, 57535, 24853}},
+{19103, 18, 95949, {1, 1, 3, 11, 31, 35, 125, 141, 251, 79, 161, 775, 2455, 6959, 26433, 39145, 26563, 665}},
+{19104, 18, 95978, {1, 1, 7, 1, 11, 9, 9, 211, 231, 723, 1337, 1713, 3779, 2001, 23451, 27107, 64297, 254943}},
+{19105, 18, 95980, {1, 3, 7, 15, 21, 55, 19, 159, 449, 837, 1259, 1851, 5061, 355, 21531, 63479, 114657, 139265}},
+{19106, 18, 96010, {1, 1, 1, 3, 11, 55, 103, 179, 363, 567, 421, 981, 7221, 2077, 19339, 1155, 67019, 218231}},
+{19107, 18, 96020, {1, 1, 7, 11, 3, 43, 55, 161, 347, 995, 1555, 3251, 1605, 13313, 4499, 19361, 60145, 71593}},
+{19108, 18, 96024, {1, 1, 5, 3, 9, 15, 119, 213, 455, 241, 857, 683, 1247, 13085, 23919, 20365, 16303, 73263}},
+{19109, 18, 96063, {1, 1, 3, 13, 25, 17, 45, 193, 375, 289, 1381, 3629, 3015, 15883, 20633, 7431, 108787, 233297}},
+{19110, 18, 96108, {1, 1, 1, 15, 21, 57, 105, 91, 233, 961, 1623, 3849, 711, 3857, 32657, 5935, 85113, 38287}},
+{19111, 18, 96125, {1, 3, 3, 3, 15, 31, 97, 217, 335, 385, 1661, 3927, 6849, 137, 28871, 56485, 32777, 260033}},
+{19112, 18, 96154, {1, 1, 3, 13, 5, 61, 19, 255, 123, 481, 1865, 1815, 3047, 173, 25363, 1277, 6453, 174405}},
+{19113, 18, 96172, {1, 3, 7, 13, 27, 9, 19, 21, 433, 857, 1931, 2927, 629, 7733, 13503, 48263, 67517, 26495}},
+{19114, 18, 96189, {1, 1, 1, 3, 5, 43, 61, 239, 81, 585, 187, 1123, 3319, 8699, 20925, 40815, 76575, 169383}},
+{19115, 18, 96204, {1, 3, 3, 3, 9, 49, 71, 225, 95, 365, 645, 237, 7829, 5727, 17031, 58971, 71415, 232423}},
+{19116, 18, 96219, {1, 3, 5, 9, 25, 49, 113, 47, 105, 609, 1557, 2099, 2129, 8663, 24811, 25505, 38153, 185821}},
+{19117, 18, 96256, {1, 3, 5, 13, 23, 55, 107, 17, 309, 807, 635, 1007, 6207, 3363, 7607, 25013, 4141, 171509}},
+{19118, 18, 96261, {1, 1, 1, 13, 27, 35, 31, 89, 109, 879, 1845, 3999, 5415, 8777, 9605, 29703, 28149, 36469}},
+{19119, 18, 96289, {1, 3, 1, 3, 13, 3, 51, 31, 479, 549, 1245, 2033, 961, 13893, 21829, 32791, 109497, 187425}},
+{19120, 18, 96292, {1, 1, 5, 3, 19, 5, 25, 187, 173, 869, 201, 3851, 7369, 6229, 16577, 45623, 19859, 209855}},
+{19121, 18, 96296, {1, 1, 7, 9, 1, 9, 53, 47, 289, 557, 999, 141, 3789, 3087, 30217, 24221, 81431, 157507}},
+{19122, 18, 96324, {1, 1, 3, 9, 1, 25, 11, 73, 155, 155, 621, 4047, 6759, 5641, 28147, 8523, 69439, 92613}},
+{19123, 18, 96345, {1, 3, 1, 5, 25, 23, 41, 79, 71, 793, 1381, 307, 7863, 16289, 28783, 5299, 128481, 222799}},
+{19124, 18, 96346, {1, 1, 7, 1, 17, 33, 117, 111, 15, 249, 1397, 1349, 4883, 6009, 3179, 33509, 56355, 31937}},
+{19125, 18, 96358, {1, 3, 5, 13, 29, 15, 41, 185, 91, 501, 571, 2889, 6901, 3875, 3737, 23657, 101587, 261181}},
+{19126, 18, 96386, {1, 1, 7, 9, 21, 49, 33, 143, 19, 203, 75, 1353, 585, 7719, 11311, 48989, 10803, 51743}},
+{19127, 18, 96412, {1, 1, 7, 13, 23, 31, 103, 209, 375, 817, 1461, 3657, 7931, 15893, 15065, 28721, 54299, 71147}},
+{19128, 18, 96428, {1, 3, 7, 7, 7, 25, 37, 173, 355, 499, 247, 459, 7701, 2219, 11703, 20631, 128857, 125367}},
+{19129, 18, 96445, {1, 1, 3, 5, 25, 61, 43, 135, 451, 667, 547, 443, 5071, 12671, 26975, 20131, 101545, 115281}},
+{19130, 18, 96446, {1, 3, 3, 5, 9, 19, 75, 133, 211, 585, 1283, 3397, 3181, 65, 20213, 47725, 101883, 194749}},
+{19131, 18, 96448, {1, 1, 1, 1, 19, 13, 75, 135, 111, 641, 765, 1631, 4711, 241, 15125, 38233, 95535, 177965}},
+{19132, 18, 96458, {1, 1, 7, 13, 31, 1, 91, 61, 299, 35, 1327, 3903, 6193, 5589, 6331, 6321, 105741, 89639}},
+{19133, 18, 96475, {1, 3, 3, 15, 1, 55, 11, 39, 171, 713, 973, 1827, 3487, 13057, 30775, 16881, 124989, 208193}},
+{19134, 18, 96482, {1, 3, 7, 1, 21, 29, 19, 75, 397, 755, 1601, 2907, 6861, 10377, 23127, 2443, 86545, 3841}},
+{19135, 18, 96494, {1, 3, 1, 11, 25, 33, 53, 195, 343, 425, 1523, 3051, 3115, 3205, 3457, 20521, 39187, 33307}},
+{19136, 18, 96502, {1, 3, 5, 1, 25, 23, 47, 5, 133, 511, 1549, 2691, 7861, 4987, 2877, 38693, 37491, 22481}},
+{19137, 18, 96508, {1, 1, 5, 15, 5, 55, 125, 231, 11, 451, 1443, 3865, 4115, 2379, 13675, 29953, 85721, 114859}},
+{19138, 18, 96511, {1, 3, 1, 15, 19, 37, 29, 75, 483, 785, 1933, 2435, 1811, 2787, 32653, 23159, 80993, 26867}},
+{19139, 18, 96516, {1, 1, 1, 15, 7, 27, 53, 99, 11, 693, 1085, 743, 939, 6461, 6391, 45913, 94037, 217039}},
+{19140, 18, 96520, {1, 3, 3, 9, 19, 37, 93, 77, 363, 125, 1675, 347, 5599, 7771, 23549, 39945, 106931, 127959}},
+{19141, 18, 96547, {1, 3, 1, 5, 27, 47, 107, 85, 31, 621, 1529, 2349, 7055, 889, 4663, 1705, 40011, 214775}},
+{19142, 18, 96556, {1, 3, 1, 5, 11, 47, 35, 13, 139, 783, 1009, 845, 4139, 14713, 24191, 17597, 124923, 219657}},
+{19143, 18, 96561, {1, 1, 7, 3, 3, 25, 63, 207, 361, 587, 763, 3027, 6523, 6783, 11203, 57313, 115397, 149921}},
+{19144, 18, 96568, {1, 1, 7, 1, 21, 55, 109, 183, 487, 869, 195, 83, 3675, 13103, 12383, 63519, 48379, 256443}},
+{19145, 18, 96581, {1, 3, 7, 13, 9, 21, 29, 163, 105, 871, 747, 2459, 7383, 439, 5223, 1655, 1469, 50345}},
+{19146, 18, 96582, {1, 3, 1, 1, 15, 63, 37, 159, 385, 795, 1369, 1973, 6119, 6027, 23913, 52475, 80827, 198261}},
+{19147, 18, 96679, {1, 3, 3, 11, 15, 5, 121, 231, 43, 907, 1621, 3895, 5075, 10865, 3123, 49657, 69827, 215813}},
+{19148, 18, 96683, {1, 3, 1, 15, 7, 41, 75, 105, 87, 899, 629, 1699, 5861, 9279, 30107, 37443, 7555, 64461}},
+{19149, 18, 96717, {1, 3, 1, 7, 9, 15, 119, 127, 121, 621, 1117, 1659, 605, 13705, 31181, 40063, 17257, 77645}},
+{19150, 18, 96754, {1, 1, 5, 5, 3, 37, 95, 237, 379, 375, 903, 257, 4425, 14191, 9185, 57133, 82067, 73521}},
+{19151, 18, 96769, {1, 1, 7, 15, 1, 43, 63, 45, 121, 669, 1775, 179, 7385, 3557, 17261, 379, 24759, 214831}},
+{19152, 18, 96799, {1, 1, 3, 9, 31, 5, 43, 153, 451, 573, 1623, 2831, 4483, 7219, 27657, 47111, 58165, 145799}},
+{19153, 18, 96805, {1, 1, 3, 11, 3, 11, 111, 83, 329, 807, 779, 1223, 6095, 7269, 22425, 19343, 11937, 10173}},
+{19154, 18, 96809, {1, 1, 1, 13, 27, 15, 7, 111, 37, 663, 51, 3759, 6321, 8253, 737, 59501, 109595, 177827}},
+{19155, 18, 96823, {1, 1, 3, 3, 29, 39, 79, 115, 307, 765, 331, 377, 1873, 14491, 11065, 11865, 76717, 29101}},
+{19156, 18, 96829, {1, 3, 7, 3, 21, 45, 97, 213, 309, 3, 483, 3933, 1043, 8519, 22517, 34675, 78819, 172479}},
+{19157, 18, 96832, {1, 3, 5, 3, 31, 51, 27, 137, 405, 427, 815, 43, 6551, 10971, 28589, 53077, 36639, 167661}},
+{19158, 18, 96850, {1, 3, 1, 3, 29, 5, 111, 19, 343, 21, 557, 4067, 1525, 12793, 11513, 48869, 78035, 171531}},
+{19159, 18, 96856, {1, 1, 5, 7, 25, 47, 53, 245, 135, 137, 1697, 2057, 3147, 15903, 26979, 2157, 43967, 207661}},
+{19160, 18, 96906, {1, 1, 5, 3, 25, 11, 15, 59, 511, 307, 757, 3275, 1299, 10373, 11943, 54169, 32417, 21645}},
+{19161, 18, 96962, {1, 3, 3, 11, 15, 15, 5, 137, 237, 741, 1613, 3565, 7359, 6181, 25953, 18137, 59759, 186693}},
+{19162, 18, 96974, {1, 3, 5, 3, 19, 13, 99, 167, 45, 71, 1683, 3635, 7603, 14879, 23903, 14795, 58395, 11853}},
+{19163, 18, 96979, {1, 3, 1, 7, 15, 45, 111, 111, 175, 567, 1031, 2255, 3895, 11861, 20195, 15461, 88411, 225713}},
+{19164, 18, 96997, {1, 1, 7, 3, 5, 5, 85, 65, 231, 643, 1591, 219, 2929, 4845, 29327, 14769, 46629, 131367}},
+{19165, 18, 96998, {1, 1, 5, 9, 29, 21, 47, 87, 113, 469, 1647, 2461, 3663, 5865, 6647, 41345, 39539, 220301}},
+{19166, 18, 97002, {1, 1, 5, 11, 9, 55, 5, 147, 141, 181, 283, 1695, 6537, 11095, 10385, 36013, 111653, 182273}},
+{19167, 18, 97054, {1, 1, 3, 5, 17, 45, 103, 253, 407, 151, 1585, 1585, 6661, 14579, 5723, 37641, 56813, 258819}},
+{19168, 18, 97064, {1, 3, 3, 3, 5, 63, 85, 201, 87, 419, 1993, 737, 5859, 6049, 17393, 9453, 65915, 1731}},
+{19169, 18, 97067, {1, 1, 3, 3, 3, 27, 97, 135, 137, 731, 1559, 3409, 5973, 15981, 19833, 8419, 33273, 44155}},
+{19170, 18, 97110, {1, 3, 3, 9, 31, 55, 109, 191, 119, 59, 645, 1047, 7767, 8379, 13781, 52289, 31605, 186667}},
+{19171, 18, 97116, {1, 3, 1, 15, 9, 1, 23, 31, 23, 311, 1879, 1939, 5509, 14573, 10501, 38867, 39131, 231151}},
+{19172, 18, 97137, {1, 3, 7, 1, 31, 33, 33, 19, 475, 723, 795, 1793, 6639, 14349, 16639, 31473, 110411, 95703}},
+{19173, 18, 97138, {1, 1, 5, 9, 11, 3, 39, 119, 455, 839, 513, 2423, 2219, 6059, 6125, 60995, 117701, 204057}},
+{19174, 18, 97143, {1, 1, 1, 9, 5, 23, 87, 33, 59, 241, 1427, 3867, 1091, 14683, 21651, 7091, 38011, 63809}},
+{19175, 18, 97183, {1, 1, 7, 15, 15, 23, 75, 227, 415, 1015, 2033, 1311, 6659, 5093, 14799, 65331, 96989, 170395}},
+{19176, 18, 97187, {1, 3, 5, 15, 25, 61, 33, 179, 503, 875, 1853, 257, 6727, 9117, 16777, 29585, 110901, 231617}},
+{19177, 18, 97190, {1, 1, 1, 15, 13, 53, 73, 151, 315, 887, 669, 3959, 5279, 1461, 15497, 40107, 9595, 252059}},
+{19178, 18, 97202, {1, 3, 7, 13, 17, 45, 43, 61, 99, 555, 981, 3255, 6385, 8723, 24451, 45243, 68617, 171911}},
+{19179, 18, 97219, {1, 3, 3, 11, 1, 29, 97, 219, 341, 597, 503, 773, 3777, 5431, 4581, 37169, 57269, 186377}},
+{19180, 18, 97239, {1, 3, 1, 11, 15, 49, 119, 189, 279, 821, 1541, 1343, 4379, 5833, 26537, 29769, 121125, 202553}},
+{19181, 18, 97245, {1, 3, 5, 9, 19, 23, 5, 197, 323, 101, 1155, 7, 5933, 3111, 19595, 36807, 40147, 153}},
+{19182, 18, 97246, {1, 1, 5, 11, 17, 9, 83, 51, 185, 415, 367, 1431, 7803, 8253, 16283, 54545, 99733, 57777}},
+{19183, 18, 97249, {1, 1, 5, 7, 5, 31, 41, 13, 33, 531, 1381, 781, 1699, 6321, 18125, 34567, 113253, 104181}},
+{19184, 18, 97264, {1, 3, 1, 5, 1, 59, 37, 239, 343, 395, 121, 2181, 2485, 13825, 19127, 22689, 103023, 198213}},
+{19185, 18, 97267, {1, 3, 1, 15, 29, 17, 11, 27, 413, 273, 1805, 2845, 8147, 10301, 5423, 29859, 85243, 190379}},
+{19186, 18, 97269, {1, 3, 1, 15, 7, 61, 29, 135, 273, 951, 725, 1345, 4231, 13651, 31291, 6081, 85735, 96023}},
+{19187, 18, 97274, {1, 1, 3, 11, 15, 29, 81, 129, 245, 295, 527, 3905, 4323, 5447, 21253, 51177, 105105, 48323}},
+{19188, 18, 97282, {1, 1, 3, 13, 13, 45, 71, 43, 383, 95, 1689, 639, 4631, 15113, 28053, 49247, 128303, 183999}},
+{19189, 18, 97287, {1, 1, 1, 3, 19, 31, 93, 35, 369, 765, 1201, 1625, 7683, 8719, 13843, 42723, 62323, 49431}},
+{19190, 18, 97294, {1, 3, 3, 11, 5, 39, 49, 217, 109, 63, 1753, 2489, 6017, 403, 16657, 59577, 80255, 66071}},
+{19191, 18, 97299, {1, 3, 5, 5, 11, 1, 79, 37, 261, 537, 1845, 3567, 3233, 16249, 9795, 2471, 69661, 118231}},
+{19192, 18, 97306, {1, 3, 3, 1, 19, 61, 35, 253, 31, 19, 161, 2597, 5733, 8231, 26569, 38613, 121945, 137391}},
+{19193, 18, 97347, {1, 3, 7, 3, 15, 25, 125, 231, 187, 797, 1237, 1767, 1557, 1095, 13613, 43325, 33801, 127881}},
+{19194, 18, 97361, {1, 1, 1, 9, 23, 63, 75, 107, 311, 493, 471, 2985, 1861, 4285, 27125, 14961, 122567, 152033}},
+{19195, 18, 97371, {1, 3, 5, 7, 9, 7, 43, 117, 203, 727, 101, 3831, 3201, 2327, 4675, 12085, 25131, 211835}},
+{19196, 18, 97435, {1, 1, 7, 11, 17, 1, 5, 87, 291, 1023, 1345, 3879, 7739, 9201, 19573, 20037, 128711, 187263}},
+{19197, 18, 97466, {1, 1, 3, 13, 25, 39, 71, 251, 365, 617, 1539, 2121, 3803, 8003, 23393, 56991, 56143, 223453}},
+{19198, 18, 97473, {1, 3, 5, 13, 25, 61, 71, 139, 319, 399, 903, 3063, 3667, 275, 13297, 25285, 120417, 169613}},
+{19199, 18, 97474, {1, 3, 1, 9, 9, 41, 59, 213, 195, 705, 313, 2313, 4993, 323, 24049, 30527, 27287, 80489}},
+{19200, 18, 97559, {1, 1, 5, 1, 29, 57, 107, 161, 217, 295, 721, 3857, 1935, 14981, 12243, 38541, 51177, 248889}},
+{19201, 18, 97565, {1, 1, 1, 15, 5, 25, 95, 137, 11, 215, 971, 1573, 4341, 4725, 8201, 33147, 87687, 187405}},
+{19202, 18, 97587, {1, 3, 3, 9, 9, 13, 31, 3, 175, 309, 145, 2265, 4863, 7199, 23881, 15445, 123753, 126653}},
+{19203, 18, 97611, {1, 1, 7, 3, 7, 43, 51, 191, 21, 639, 939, 691, 7823, 10529, 7757, 9291, 115045, 51539}},
+{19204, 18, 97622, {1, 1, 7, 13, 7, 45, 91, 173, 73, 779, 1647, 2059, 1373, 16027, 4611, 45787, 699, 78905}},
+{19205, 18, 97625, {1, 1, 5, 15, 5, 23, 123, 45, 265, 1009, 235, 1343, 5779, 209, 23263, 63163, 26079, 240905}},
+{19206, 18, 97632, {1, 1, 1, 11, 19, 31, 75, 105, 71, 21, 1361, 2125, 6949, 2111, 10333, 61881, 112811, 85723}},
+{19207, 18, 97635, {1, 3, 5, 7, 27, 17, 95, 35, 503, 181, 1885, 1097, 6019, 13745, 15009, 26343, 117727, 93017}},
+{19208, 18, 97652, {1, 1, 3, 11, 27, 41, 109, 23, 365, 283, 1509, 3269, 5969, 14567, 27715, 429, 65813, 169391}},
+{19209, 18, 97672, {1, 1, 5, 9, 11, 1, 23, 143, 401, 61, 993, 3029, 1901, 12947, 10439, 48661, 113863, 9353}},
+{19210, 18, 97678, {1, 3, 7, 3, 15, 27, 123, 51, 403, 569, 75, 3837, 8167, 10875, 29861, 44133, 52385, 185515}},
+{19211, 18, 97683, {1, 3, 3, 15, 15, 45, 3, 77, 439, 265, 103, 3715, 7889, 9241, 26511, 19063, 108239, 237233}},
+{19212, 18, 97695, {1, 1, 5, 13, 7, 47, 7, 185, 155, 833, 1895, 1103, 6761, 4307, 19551, 2371, 41079, 207663}},
+{19213, 18, 97705, {1, 1, 3, 7, 1, 49, 79, 127, 149, 383, 919, 3787, 6703, 8823, 15551, 28397, 11497, 144227}},
+{19214, 18, 97713, {1, 1, 7, 15, 7, 5, 9, 161, 425, 275, 1943, 3003, 3615, 1417, 587, 20949, 9651, 101257}},
+{19215, 18, 97719, {1, 3, 5, 11, 31, 11, 113, 201, 113, 889, 867, 3537, 7173, 3403, 4713, 29709, 50127, 55893}},
+{19216, 18, 97757, {1, 3, 7, 11, 11, 17, 123, 97, 3, 1009, 1567, 3261, 8053, 4639, 24493, 64085, 73975, 123965}},
+{19217, 18, 97761, {1, 1, 7, 1, 31, 7, 111, 137, 427, 615, 865, 2243, 3603, 5943, 1639, 22213, 81977, 77283}},
+{19218, 18, 97762, {1, 1, 5, 11, 25, 63, 5, 19, 67, 469, 621, 2831, 1635, 11859, 23143, 29189, 43955, 87475}},
+{19219, 18, 97771, {1, 3, 7, 15, 7, 61, 125, 207, 401, 567, 1943, 2645, 641, 15427, 24467, 41767, 122591, 48905}},
+{19220, 18, 97795, {1, 3, 3, 5, 1, 61, 65, 169, 329, 489, 435, 1719, 491, 6189, 18383, 34973, 90611, 180991}},
+{19221, 18, 97809, {1, 3, 7, 9, 25, 43, 115, 11, 289, 193, 263, 3885, 4881, 15669, 19757, 20073, 119873, 67069}},
+{19222, 18, 97826, {1, 1, 7, 11, 3, 45, 93, 115, 233, 891, 1541, 2557, 2115, 2237, 4253, 30445, 32983, 86185}},
+{19223, 18, 97845, {1, 3, 7, 3, 29, 23, 105, 51, 157, 505, 773, 2403, 1237, 5193, 32725, 53331, 66377, 25745}},
+{19224, 18, 97877, {1, 3, 5, 11, 31, 5, 111, 251, 287, 225, 913, 97, 3429, 15111, 10637, 18843, 102589, 229667}},
+{19225, 18, 97882, {1, 3, 7, 13, 21, 43, 27, 11, 265, 991, 1645, 1967, 2675, 3083, 2957, 65275, 7757, 201953}},
+{19226, 18, 97891, {1, 3, 7, 7, 23, 59, 37, 105, 113, 961, 1585, 855, 6037, 8461, 24057, 46861, 42421, 21061}},
+{19227, 18, 97903, {1, 1, 5, 1, 7, 45, 37, 147, 225, 793, 737, 753, 565, 5347, 15393, 42611, 39253, 246455}},
+{19228, 18, 97961, {1, 3, 3, 5, 29, 59, 125, 69, 283, 677, 1615, 3341, 219, 10753, 445, 43343, 117035, 137907}},
+{19229, 18, 97970, {1, 1, 5, 1, 19, 41, 93, 137, 481, 93, 703, 1211, 4051, 5591, 5913, 32831, 62027, 60519}},
+{19230, 18, 97975, {1, 1, 7, 13, 17, 63, 65, 147, 361, 83, 1383, 1761, 579, 9493, 2611, 6951, 12197, 81857}},
+{19231, 18, 97996, {1, 3, 3, 15, 11, 3, 25, 7, 221, 211, 1745, 1173, 5479, 12063, 5667, 43443, 4865, 193345}},
+{19232, 18, 98001, {1, 1, 5, 11, 31, 11, 71, 61, 57, 851, 1089, 1395, 4525, 1223, 27681, 14355, 23125, 257233}},
+{19233, 18, 98014, {1, 3, 1, 11, 25, 59, 17, 193, 229, 1005, 387, 3993, 2457, 4185, 18421, 1315, 125155, 142277}},
+{19234, 18, 98023, {1, 1, 5, 11, 13, 55, 123, 191, 5, 1023, 705, 3481, 367, 12961, 11917, 12131, 99109, 105093}},
+{19235, 18, 98035, {1, 1, 3, 11, 13, 29, 57, 57, 467, 19, 1409, 971, 3041, 13487, 24737, 3377, 97883, 248893}},
+{19236, 18, 98052, {1, 3, 7, 3, 3, 37, 109, 77, 201, 469, 39, 1747, 2027, 14781, 18821, 34647, 123865, 195097}},
+{19237, 18, 98059, {1, 3, 3, 5, 29, 27, 97, 217, 249, 141, 431, 1621, 539, 8945, 3443, 48227, 27867, 205355}},
+{19238, 18, 98061, {1, 1, 3, 13, 7, 57, 65, 167, 103, 511, 239, 325, 1793, 2811, 14223, 40999, 12589, 149759}},
+{19239, 18, 98086, {1, 3, 5, 11, 3, 1, 61, 87, 283, 29, 507, 3473, 2685, 13829, 32337, 8413, 12201, 152309}},
+{19240, 18, 98098, {1, 3, 5, 15, 1, 23, 103, 173, 423, 915, 1519, 1859, 7341, 8689, 17141, 53769, 81189, 144305}},
+{19241, 18, 98117, {1, 1, 1, 5, 31, 41, 89, 117, 329, 245, 381, 3357, 1053, 15079, 3569, 27665, 65645, 259279}},
+{19242, 18, 98118, {1, 1, 7, 5, 3, 55, 91, 35, 463, 15, 1195, 533, 6013, 10755, 1919, 61169, 81285, 82757}},
+{19243, 18, 98132, {1, 3, 5, 11, 3, 29, 85, 169, 163, 733, 939, 3401, 3709, 3307, 17329, 56873, 10721, 174235}},
+{19244, 18, 98135, {1, 1, 5, 1, 11, 45, 75, 247, 435, 21, 1985, 2261, 7013, 4935, 2457, 41077, 53121, 143269}},
+{19245, 18, 98145, {1, 3, 3, 13, 17, 59, 43, 149, 27, 1, 367, 957, 5607, 2591, 22161, 10095, 73769, 52455}},
+{19246, 18, 98160, {1, 1, 3, 13, 15, 15, 121, 83, 469, 819, 1973, 3595, 2313, 1621, 3105, 42971, 7243, 98727}},
+{19247, 18, 98194, {1, 1, 5, 7, 21, 53, 123, 9, 119, 437, 1567, 431, 3647, 10967, 22037, 8523, 81279, 126473}},
+{19248, 18, 98205, {1, 1, 5, 13, 5, 23, 125, 119, 195, 555, 341, 2037, 313, 6323, 27201, 8377, 122793, 197781}},
+{19249, 18, 98210, {1, 3, 3, 5, 17, 25, 67, 237, 349, 443, 1529, 3541, 3105, 10105, 13409, 20165, 64597, 244513}},
+{19250, 18, 98224, {1, 1, 5, 1, 11, 43, 77, 245, 359, 625, 1171, 597, 3, 591, 2457, 20275, 75995, 204685}},
+{19251, 18, 98227, {1, 3, 1, 11, 5, 13, 99, 107, 285, 617, 1687, 2959, 4439, 771, 3103, 62363, 89437, 172221}},
+{19252, 18, 98254, {1, 3, 1, 11, 1, 63, 43, 85, 23, 95, 501, 1223, 669, 16101, 1071, 53175, 102101, 419}},
+{19253, 18, 98271, {1, 3, 1, 5, 19, 23, 63, 105, 289, 419, 885, 441, 5107, 4213, 8683, 1847, 113301, 240821}},
+{19254, 18, 98272, {1, 1, 1, 9, 9, 9, 111, 63, 53, 531, 517, 3463, 8171, 2645, 13883, 52213, 40707, 24637}},
+{19255, 18, 98302, {1, 3, 1, 5, 15, 43, 71, 215, 117, 685, 1819, 1105, 5805, 8875, 31093, 31077, 93807, 65631}},
+{19256, 18, 98320, {1, 1, 7, 7, 17, 15, 31, 87, 13, 615, 2003, 3461, 7585, 1947, 6693, 26141, 95059, 52229}},
+{19257, 18, 98346, {1, 1, 3, 5, 5, 55, 7, 41, 473, 541, 545, 2901, 763, 12731, 24715, 43301, 7981, 123961}},
+{19258, 18, 98356, {1, 3, 1, 11, 13, 29, 65, 47, 511, 931, 1681, 3813, 995, 4261, 32243, 21327, 33749, 52607}},
+{19259, 18, 98360, {1, 1, 3, 1, 27, 51, 19, 119, 71, 989, 485, 1483, 4115, 11743, 5513, 32447, 62599, 163185}},
+{19260, 18, 98366, {1, 3, 7, 13, 7, 5, 127, 67, 221, 773, 1641, 3763, 2061, 2025, 29813, 64385, 109219, 70149}},
+{19261, 18, 98478, {1, 1, 5, 15, 9, 29, 105, 245, 333, 11, 803, 1877, 6735, 3797, 1913, 63837, 23649, 234721}},
+{19262, 18, 98483, {1, 3, 7, 13, 11, 21, 113, 175, 385, 885, 1259, 983, 7715, 11889, 12515, 35723, 9897, 63415}},
+{19263, 18, 98486, {1, 1, 5, 9, 31, 63, 53, 51, 375, 133, 2021, 3173, 3861, 9885, 4117, 37505, 73687, 16411}},
+{19264, 18, 98497, {1, 3, 7, 7, 11, 13, 99, 235, 285, 159, 489, 917, 3033, 7711, 6545, 52893, 28549, 68791}},
+{19265, 18, 98528, {1, 1, 5, 11, 31, 15, 89, 157, 105, 347, 455, 3391, 5341, 16035, 11819, 57679, 48057, 147673}},
+{19266, 18, 98537, {1, 3, 1, 5, 21, 5, 1, 41, 213, 677, 1745, 2591, 6237, 14265, 5963, 30017, 47293, 199411}},
+{19267, 18, 98551, {1, 3, 1, 15, 19, 9, 65, 103, 489, 977, 579, 2571, 2827, 12971, 24445, 17963, 68829, 89781}},
+{19268, 18, 98557, {1, 3, 5, 7, 3, 45, 9, 223, 137, 749, 919, 2695, 7569, 6735, 16649, 55899, 91531, 10709}},
+{19269, 18, 98572, {1, 1, 5, 11, 25, 51, 81, 243, 473, 85, 1189, 2317, 785, 9307, 25555, 36623, 66881, 150945}},
+{19270, 18, 98575, {1, 1, 3, 7, 9, 17, 99, 57, 333, 891, 71, 2359, 2067, 13265, 30077, 17935, 47343, 22673}},
+{19271, 18, 98600, {1, 1, 5, 7, 13, 17, 77, 109, 427, 667, 1367, 2383, 7505, 11239, 14229, 35431, 35473, 62447}},
+{19272, 18, 98628, {1, 1, 1, 15, 27, 5, 51, 221, 471, 877, 449, 3961, 4197, 15713, 2955, 58985, 31431, 241539}},
+{19273, 18, 98635, {1, 1, 7, 1, 13, 61, 55, 199, 87, 679, 723, 271, 1061, 8043, 13163, 8079, 81501, 60467}},
+{19274, 18, 98645, {1, 1, 3, 3, 11, 1, 85, 65, 445, 731, 2017, 3113, 8085, 7133, 14789, 2435, 38459, 234997}},
+{19275, 18, 98652, {1, 3, 3, 9, 23, 31, 49, 137, 349, 651, 1975, 3429, 7137, 7841, 28297, 58209, 36493, 259097}},
+{19276, 18, 98655, {1, 1, 7, 15, 23, 11, 87, 133, 245, 445, 151, 4075, 141, 15395, 16649, 36925, 98421, 217265}},
+{19277, 18, 98665, {1, 3, 3, 5, 25, 53, 57, 177, 481, 177, 671, 1249, 2663, 12855, 24537, 31867, 110323, 164113}},
+{19278, 18, 98710, {1, 3, 5, 7, 23, 25, 19, 91, 447, 1023, 373, 3863, 4399, 12973, 7475, 37485, 8567, 53271}},
+{19279, 18, 98719, {1, 1, 5, 7, 31, 33, 31, 75, 223, 299, 1549, 1863, 353, 4339, 8891, 10365, 3399, 185807}},
+{19280, 18, 98720, {1, 1, 7, 9, 31, 53, 23, 203, 319, 915, 1923, 205, 3119, 7243, 25251, 12907, 101921, 102695}},
+{19281, 18, 98786, {1, 1, 7, 9, 15, 1, 123, 173, 123, 215, 263, 3003, 5881, 1117, 15195, 47457, 66663, 224177}},
+{19282, 18, 98792, {1, 1, 7, 13, 11, 25, 61, 121, 173, 115, 1897, 2145, 7783, 9673, 3321, 1707, 61475, 53875}},
+{19283, 18, 98806, {1, 3, 7, 3, 31, 21, 27, 99, 421, 225, 1565, 2351, 2275, 10583, 7877, 43505, 27629, 140919}},
+{19284, 18, 98816, {1, 3, 5, 5, 11, 45, 71, 105, 487, 867, 361, 3995, 2039, 1495, 27481, 4753, 20657, 67077}},
+{19285, 18, 98836, {1, 1, 5, 1, 19, 33, 1, 77, 377, 353, 719, 1463, 7053, 7409, 32165, 15557, 117673, 69887}},
+{19286, 18, 98859, {1, 1, 5, 7, 25, 5, 15, 231, 23, 213, 1627, 1801, 7793, 651, 9903, 51745, 111611, 39679}},
+{19287, 18, 98864, {1, 3, 3, 5, 23, 43, 37, 199, 437, 19, 1853, 2119, 461, 12641, 15865, 39941, 122545, 213443}},
+{19288, 18, 98879, {1, 3, 3, 11, 31, 45, 19, 227, 507, 909, 1501, 2021, 905, 1763, 1897, 3735, 81475, 30005}},
+{19289, 18, 98905, {1, 1, 5, 5, 29, 9, 55, 25, 23, 59, 593, 2197, 6029, 8235, 8397, 27521, 96221, 168837}},
+{19290, 18, 98917, {1, 3, 1, 15, 5, 33, 75, 121, 433, 557, 1011, 3785, 2545, 953, 17295, 14407, 94871, 60445}},
+{19291, 18, 98929, {1, 3, 3, 7, 7, 53, 29, 75, 171, 587, 1701, 3815, 2761, 4403, 39, 17291, 34897, 187257}},
+{19292, 18, 98969, {1, 3, 1, 15, 17, 57, 11, 95, 335, 13, 265, 1161, 7945, 6419, 26723, 31907, 89995, 82265}},
+{19293, 18, 98975, {1, 1, 7, 5, 9, 59, 27, 153, 37, 165, 823, 3525, 621, 4777, 3485, 9109, 116567, 34691}},
+{19294, 18, 98976, {1, 1, 5, 13, 23, 27, 11, 63, 35, 39, 995, 2101, 2611, 14139, 2683, 63787, 19813, 97497}},
+{19295, 18, 98981, {1, 3, 7, 15, 31, 15, 3, 163, 167, 53, 71, 1881, 4213, 3485, 21525, 705, 122345, 203549}},
+{19296, 18, 98999, {1, 3, 5, 5, 21, 33, 85, 133, 21, 505, 1639, 3989, 771, 7171, 21953, 34503, 31247, 247459}},
+{19297, 18, 99020, {1, 1, 7, 7, 31, 1, 27, 39, 469, 243, 679, 4091, 7137, 8505, 13329, 34139, 69485, 259795}},
+{19298, 18, 99026, {1, 3, 5, 5, 31, 43, 31, 161, 413, 657, 1407, 1417, 7349, 3301, 7691, 49355, 22929, 68043}},
+{19299, 18, 99054, {1, 1, 7, 11, 15, 61, 73, 217, 163, 503, 193, 3795, 41, 16251, 1187, 65363, 113211, 100337}},
+{19300, 18, 99083, {1, 3, 1, 11, 9, 15, 109, 187, 109, 865, 845, 1579, 321, 1269, 20613, 5693, 58421, 254959}},
+{19301, 18, 99093, {1, 3, 1, 13, 11, 3, 19, 135, 93, 779, 1383, 219, 2737, 377, 1125, 35663, 130815, 103797}},
+{19302, 18, 99103, {1, 1, 5, 11, 25, 25, 71, 249, 201, 679, 1677, 1817, 7619, 10327, 14821, 47847, 33629, 250979}},
+{19303, 18, 99131, {1, 1, 7, 15, 23, 19, 69, 39, 25, 843, 99, 3499, 2457, 11681, 30009, 17609, 46653, 162427}},
+{19304, 18, 99156, {1, 3, 3, 7, 23, 25, 77, 135, 61, 501, 1381, 3977, 1957, 11255, 16053, 30297, 58835, 97589}},
+{19305, 18, 99159, {1, 3, 5, 3, 9, 31, 9, 55, 421, 109, 1823, 1921, 7349, 2661, 4503, 36691, 48843, 182631}},
+{19306, 18, 99165, {1, 1, 1, 11, 7, 23, 107, 125, 393, 105, 1407, 3461, 4539, 6121, 7881, 32407, 83749, 98831}},
+{19307, 18, 99170, {1, 3, 3, 13, 5, 59, 5, 3, 185, 959, 241, 819, 1443, 1789, 12771, 26703, 25399, 182583}},
+{19308, 18, 99189, {1, 1, 1, 3, 3, 47, 7, 45, 93, 373, 175, 87, 649, 12903, 5029, 1945, 111967, 140889}},
+{19309, 18, 99223, {1, 3, 1, 11, 9, 47, 25, 191, 215, 845, 1557, 9, 3451, 5837, 11763, 29127, 113115, 99039}},
+{19310, 18, 99227, {1, 1, 1, 5, 23, 53, 45, 1, 361, 751, 807, 1765, 685, 2109, 28437, 60489, 65739, 234511}},
+{19311, 18, 99271, {1, 3, 3, 7, 15, 57, 71, 61, 195, 123, 1745, 3249, 351, 14309, 2017, 15653, 110803, 45937}},
+{19312, 18, 99277, {1, 3, 7, 9, 25, 11, 25, 29, 467, 313, 1927, 2423, 7311, 14299, 8145, 8123, 115103, 213881}},
+{19313, 18, 99278, {1, 1, 3, 15, 1, 35, 111, 99, 507, 417, 1433, 129, 5565, 13365, 18853, 8607, 109739, 120623}},
+{19314, 18, 99313, {1, 1, 1, 7, 13, 31, 93, 3, 327, 67, 1101, 1965, 5939, 6505, 3117, 3021, 33707, 79353}},
+{19315, 18, 99314, {1, 1, 3, 7, 15, 21, 23, 117, 367, 137, 287, 903, 4685, 13943, 26779, 24607, 70853, 99743}},
+{19316, 18, 99345, {1, 1, 7, 11, 25, 43, 67, 181, 459, 737, 1567, 3491, 5085, 6487, 23115, 62341, 102943, 77301}},
+{19317, 18, 99361, {1, 1, 3, 15, 7, 35, 81, 199, 455, 851, 835, 3421, 4675, 15173, 9205, 7305, 109849, 15183}},
+{19318, 18, 99367, {1, 3, 5, 11, 9, 55, 3, 53, 235, 271, 1265, 3681, 3627, 3485, 11591, 53097, 85949, 158173}},
+{19319, 18, 99386, {1, 3, 7, 3, 15, 27, 57, 183, 487, 9, 1797, 2973, 3687, 12987, 9133, 14595, 52067, 131217}},
+{19320, 18, 99394, {1, 1, 5, 3, 7, 25, 19, 215, 291, 325, 813, 577, 4249, 10373, 17233, 29557, 72979, 70721}},
+{19321, 18, 99417, {1, 3, 1, 7, 25, 1, 107, 167, 367, 303, 883, 993, 4189, 6557, 13697, 15251, 77065, 116127}},
+{19322, 18, 99418, {1, 3, 5, 11, 13, 59, 9, 121, 489, 593, 1503, 601, 5263, 13837, 20991, 35761, 45867, 155905}},
+{19323, 18, 99453, {1, 1, 3, 3, 19, 47, 127, 115, 267, 261, 969, 961, 5919, 10085, 29363, 4935, 100485, 75561}},
+{19324, 18, 99454, {1, 3, 1, 15, 11, 53, 39, 187, 53, 11, 1951, 913, 965, 2565, 5457, 3237, 24923, 245681}},
+{19325, 18, 99477, {1, 1, 7, 3, 15, 5, 25, 45, 17, 45, 1317, 1853, 6627, 15879, 29935, 24749, 118149, 35359}},
+{19326, 18, 99518, {1, 1, 7, 1, 21, 45, 67, 71, 25, 743, 925, 3441, 3013, 1613, 6321, 12491, 119931, 164701}},
+{19327, 18, 99544, {1, 1, 7, 1, 13, 15, 35, 187, 91, 995, 401, 2443, 4183, 10823, 20589, 27413, 117095, 20359}},
+{19328, 18, 99559, {1, 3, 3, 7, 15, 51, 55, 167, 409, 859, 719, 3223, 2457, 16013, 13639, 4027, 79339, 225113}},
+{19329, 18, 99592, {1, 3, 1, 9, 3, 29, 105, 193, 279, 27, 1093, 2199, 6983, 619, 10163, 40365, 71015, 102191}},
+{19330, 18, 99597, {1, 1, 3, 9, 29, 5, 33, 247, 27, 299, 2017, 379, 6199, 15047, 18329, 3493, 47679, 76703}},
+{19331, 18, 99603, {1, 3, 5, 5, 9, 19, 51, 129, 157, 831, 1373, 653, 7489, 13125, 1815, 10915, 88679, 50269}},
+{19332, 18, 99621, {1, 3, 3, 9, 9, 49, 79, 11, 181, 679, 1697, 3707, 205, 13305, 6293, 56653, 42619, 116257}},
+{19333, 18, 99646, {1, 1, 5, 9, 23, 41, 17, 135, 145, 715, 257, 1561, 6941, 2411, 31459, 25055, 35807, 51579}},
+{19334, 18, 99693, {1, 1, 1, 7, 11, 13, 49, 155, 403, 569, 751, 2959, 425, 13949, 22047, 49829, 71925, 101647}},
+{19335, 18, 99722, {1, 1, 3, 15, 15, 15, 17, 213, 113, 395, 1999, 2039, 3623, 13255, 24435, 54487, 78773, 202637}},
+{19336, 18, 99760, {1, 3, 7, 9, 5, 21, 61, 165, 97, 349, 1131, 2677, 333, 13129, 2137, 22909, 95795, 143081}},
+{19337, 18, 99780, {1, 1, 1, 5, 31, 41, 109, 179, 295, 475, 639, 3929, 1841, 7545, 19411, 52573, 10173, 236769}},
+{19338, 18, 99789, {1, 1, 1, 5, 27, 51, 9, 217, 393, 671, 931, 433, 7303, 16295, 6727, 5703, 88241, 132665}},
+{19339, 18, 99804, {1, 1, 7, 13, 21, 33, 19, 241, 497, 519, 1413, 489, 4975, 1345, 24925, 40383, 110815, 136217}},
+{19340, 18, 99823, {1, 3, 1, 9, 7, 51, 79, 15, 15, 601, 997, 3713, 7829, 903, 12393, 60059, 42057, 175141}},
+{19341, 18, 99826, {1, 1, 5, 15, 9, 63, 107, 63, 495, 591, 207, 779, 8069, 3013, 23839, 3075, 127481, 193885}},
+{19342, 18, 99832, {1, 1, 1, 7, 13, 17, 121, 171, 99, 59, 1043, 1109, 1337, 1179, 27635, 34063, 12945, 1431}},
+{19343, 18, 99842, {1, 3, 1, 3, 5, 47, 101, 205, 157, 595, 263, 3887, 7015, 4693, 15211, 25381, 128803, 227233}},
+{19344, 18, 99851, {1, 1, 3, 11, 17, 33, 1, 19, 153, 603, 119, 2305, 4041, 4011, 19849, 761, 52807, 129811}},
+{19345, 18, 99862, {1, 3, 7, 15, 21, 7, 13, 225, 497, 459, 389, 911, 6349, 5059, 6363, 41915, 90687, 214501}},
+{19346, 18, 99871, {1, 3, 1, 15, 1, 39, 31, 83, 147, 629, 185, 1913, 3217, 959, 651, 65267, 108613, 20391}},
+{19347, 18, 99899, {1, 3, 1, 7, 9, 11, 29, 201, 245, 815, 1869, 2597, 5693, 15669, 23293, 30885, 4029, 225737}},
+{19348, 18, 99940, {1, 3, 5, 11, 7, 29, 119, 207, 499, 23, 1563, 3645, 3839, 2509, 24043, 64231, 22509, 221835}},
+{19349, 18, 99983, {1, 3, 3, 7, 11, 49, 13, 201, 353, 217, 831, 2803, 1521, 12989, 25339, 41035, 2125, 165271}},
+{19350, 18, 99985, {1, 1, 5, 11, 1, 45, 93, 29, 55, 1007, 1919, 241, 5931, 9211, 17291, 39849, 25453, 96077}},
+{19351, 18, 100025, {1, 3, 1, 1, 29, 43, 11, 105, 331, 693, 1363, 291, 8191, 7813, 14135, 38287, 15469, 256913}},
+{19352, 18, 100043, {1, 3, 5, 11, 19, 21, 23, 117, 253, 111, 733, 3785, 5835, 423, 30251, 27283, 79561, 162095}},
+{19353, 18, 100070, {1, 3, 3, 1, 9, 19, 83, 13, 37, 725, 1597, 1117, 8067, 8085, 1315, 41813, 8973, 175525}},
+{19354, 18, 100076, {1, 1, 5, 3, 13, 39, 3, 213, 335, 907, 1143, 1729, 601, 11255, 24351, 41045, 11335, 186221}},
+{19355, 18, 100084, {1, 3, 3, 9, 17, 11, 29, 33, 303, 815, 1607, 2403, 8095, 4213, 16697, 64733, 24439, 93081}},
+{19356, 18, 100096, {1, 1, 1, 3, 13, 37, 35, 181, 243, 645, 1915, 3521, 569, 3005, 7271, 32755, 64575, 119813}},
+{19357, 18, 100105, {1, 1, 5, 13, 25, 59, 77, 121, 459, 755, 385, 1893, 1227, 9957, 5069, 40063, 27261, 4703}},
+{19358, 18, 100108, {1, 3, 1, 3, 29, 41, 95, 255, 219, 21, 317, 3021, 2615, 5101, 19413, 25795, 6521, 157749}},
+{19359, 18, 100123, {1, 3, 3, 5, 7, 33, 7, 205, 415, 23, 1431, 117, 1605, 9541, 11825, 49195, 86341, 99673}},
+{19360, 18, 100132, {1, 3, 3, 5, 17, 37, 33, 209, 49, 161, 321, 3697, 6483, 12859, 895, 675, 1899, 260289}},
+{19361, 18, 100141, {1, 1, 3, 15, 1, 27, 83, 125, 309, 553, 505, 2209, 4931, 2593, 28253, 12879, 74971, 9047}},
+{19362, 18, 100181, {1, 3, 7, 3, 15, 3, 105, 19, 41, 119, 149, 3847, 6593, 875, 23777, 4547, 57717, 139387}},
+{19363, 18, 100191, {1, 1, 1, 3, 9, 43, 25, 15, 67, 609, 951, 273, 8095, 621, 24819, 17233, 53423, 192757}},
+{19364, 18, 100202, {1, 3, 5, 3, 9, 49, 107, 215, 245, 217, 545, 2285, 2075, 401, 26599, 32967, 130457, 203755}},
+{19365, 18, 100216, {1, 1, 5, 1, 7, 31, 87, 181, 135, 155, 9, 1431, 307, 13367, 31147, 10327, 2817, 63327}},
+{19366, 18, 100246, {1, 3, 3, 3, 29, 17, 55, 201, 33, 275, 2005, 3037, 3439, 1513, 7563, 46491, 103319, 5279}},
+{19367, 18, 100256, {1, 3, 7, 11, 31, 63, 105, 169, 257, 225, 711, 2041, 1519, 11801, 18543, 35173, 92125, 72729}},
+{19368, 18, 100271, {1, 1, 3, 3, 11, 13, 127, 231, 229, 809, 303, 1167, 47, 4281, 2373, 10455, 74685, 131775}},
+{19369, 18, 100285, {1, 1, 5, 15, 1, 5, 97, 139, 189, 39, 37, 3513, 2119, 1453, 11477, 45477, 75613, 169915}},
+{19370, 18, 100294, {1, 3, 5, 1, 15, 27, 31, 87, 311, 785, 489, 1331, 5259, 6963, 26441, 41675, 107187, 60723}},
+{19371, 18, 100305, {1, 1, 3, 5, 13, 9, 33, 3, 273, 357, 841, 1421, 5993, 12449, 6821, 4283, 9437, 215035}},
+{19372, 18, 100321, {1, 3, 3, 1, 15, 43, 101, 35, 23, 743, 29, 3953, 3095, 14355, 25977, 12513, 54565, 20199}},
+{19373, 18, 100331, {1, 3, 3, 1, 11, 53, 99, 95, 63, 503, 1361, 3231, 2445, 5073, 4667, 33033, 4575, 139475}},
+{19374, 18, 100334, {1, 3, 3, 5, 19, 57, 15, 115, 125, 1017, 1913, 907, 2461, 3229, 16591, 6591, 26385, 228661}},
+{19375, 18, 100345, {1, 3, 1, 11, 27, 19, 7, 121, 245, 997, 1743, 2571, 1333, 9603, 27811, 42081, 44365, 94943}},
+{19376, 18, 100346, {1, 3, 1, 1, 13, 5, 127, 217, 63, 137, 989, 1441, 1133, 8273, 18091, 22243, 122931, 28867}},
+{19377, 18, 100369, {1, 1, 7, 15, 23, 39, 57, 83, 321, 817, 819, 223, 4803, 6935, 2027, 20373, 119683, 29781}},
+{19378, 18, 100372, {1, 1, 7, 7, 9, 1, 55, 211, 455, 283, 1647, 471, 4351, 14119, 6945, 63117, 109687, 200165}},
+{19379, 18, 100382, {1, 1, 7, 7, 29, 45, 113, 253, 135, 375, 1091, 959, 1423, 1241, 31689, 33751, 73459, 91769}},
+{19380, 18, 100403, {1, 3, 5, 11, 23, 63, 55, 181, 453, 267, 995, 1309, 2847, 3791, 21683, 59809, 81891, 132635}},
+{19381, 18, 100451, {1, 1, 1, 13, 17, 37, 87, 17, 61, 689, 1895, 3877, 4717, 6447, 22329, 1619, 30069, 190887}},
+{19382, 18, 100488, {1, 3, 1, 7, 27, 61, 17, 51, 99, 909, 85, 951, 107, 1923, 35, 63389, 90273, 152643}},
+{19383, 18, 100499, {1, 1, 1, 1, 15, 39, 77, 255, 191, 613, 655, 1881, 267, 3927, 18025, 13825, 15381, 169193}},
+{19384, 18, 100501, {1, 3, 3, 1, 31, 17, 73, 69, 231, 221, 501, 3755, 1671, 2049, 22493, 16353, 1775, 181783}},
+{19385, 18, 100511, {1, 1, 7, 5, 31, 45, 125, 189, 287, 487, 1911, 3133, 3257, 8967, 21295, 1247, 72297, 68269}},
+{19386, 18, 100536, {1, 3, 3, 1, 7, 9, 123, 147, 7, 381, 1597, 1289, 7831, 14493, 21145, 15487, 70353, 147891}},
+{19387, 18, 100629, {1, 1, 5, 9, 15, 17, 43, 87, 101, 425, 1819, 163, 6741, 8255, 2591, 17719, 112871, 110793}},
+{19388, 18, 100652, {1, 1, 3, 9, 3, 27, 7, 41, 43, 743, 131, 705, 2607, 9963, 26367, 41191, 126347, 164291}},
+{19389, 18, 100655, {1, 3, 3, 15, 7, 17, 97, 153, 283, 461, 1723, 2421, 4973, 16369, 30633, 62299, 119425, 3591}},
+{19390, 18, 100669, {1, 1, 1, 13, 7, 33, 95, 255, 429, 693, 849, 3783, 5985, 8551, 23227, 1015, 109023, 42493}},
+{19391, 18, 100687, {1, 3, 1, 7, 3, 43, 53, 137, 413, 265, 2033, 1347, 335, 529, 24751, 16443, 122195, 158951}},
+{19392, 18, 100692, {1, 1, 5, 9, 27, 21, 83, 185, 325, 557, 1247, 2739, 6925, 5459, 26027, 62217, 61113, 197743}},
+{19393, 18, 100696, {1, 1, 3, 13, 9, 57, 79, 133, 137, 851, 863, 1605, 7839, 11809, 29941, 20473, 6687, 164479}},
+{19394, 18, 100701, {1, 1, 3, 9, 9, 51, 123, 29, 139, 43, 1329, 2701, 3413, 3875, 19673, 62369, 10529, 226525}},
+{19395, 18, 100706, {1, 3, 1, 5, 25, 47, 7, 201, 119, 623, 9, 25, 1713, 10817, 8201, 5847, 77477, 237883}},
+{19396, 18, 100711, {1, 1, 5, 13, 15, 53, 39, 93, 235, 619, 1695, 2389, 2571, 2389, 4619, 45769, 17245, 69973}},
+{19397, 18, 100726, {1, 1, 7, 1, 31, 9, 75, 143, 1, 67, 809, 1037, 2801, 16129, 22443, 26021, 119683, 14681}},
+{19398, 18, 100754, {1, 3, 1, 9, 23, 49, 69, 71, 139, 953, 1053, 3059, 1061, 5881, 26207, 15907, 79389, 95341}},
+{19399, 18, 100759, {1, 3, 5, 1, 19, 39, 69, 183, 95, 289, 847, 393, 1649, 1275, 21187, 34715, 67553, 123239}},
+{19400, 18, 100790, {1, 1, 1, 5, 21, 39, 119, 193, 347, 87, 731, 3327, 6089, 13781, 20389, 52303, 11869, 48975}},
+{19401, 18, 100838, {1, 3, 5, 1, 19, 17, 93, 33, 215, 457, 687, 1325, 1997, 2655, 21195, 54997, 36877, 57991}},
+{19402, 18, 100878, {1, 1, 1, 3, 17, 45, 91, 45, 231, 611, 413, 2321, 7181, 13765, 7791, 6973, 24497, 231795}},
+{19403, 18, 100880, {1, 3, 3, 15, 7, 29, 103, 31, 295, 637, 1775, 2293, 8001, 4175, 1257, 16881, 93695, 180591}},
+{19404, 18, 100885, {1, 1, 1, 13, 31, 7, 47, 51, 267, 231, 463, 939, 7977, 8593, 15329, 36871, 50449, 222341}},
+{19405, 18, 100886, {1, 3, 7, 3, 27, 31, 57, 135, 507, 177, 1455, 1963, 4473, 6449, 727, 49853, 65275, 237531}},
+{19406, 18, 100943, {1, 3, 7, 11, 31, 21, 111, 231, 269, 27, 719, 3275, 2489, 3689, 3425, 23763, 39413, 64565}},
+{19407, 18, 100948, {1, 1, 1, 11, 23, 27, 31, 153, 201, 985, 1553, 3061, 7663, 4079, 13549, 48765, 64169, 68223}},
+{19408, 18, 100957, {1, 1, 7, 15, 11, 53, 125, 23, 73, 799, 591, 665, 127, 3941, 11251, 12649, 2657, 230923}},
+{19409, 18, 100962, {1, 1, 7, 15, 29, 43, 95, 81, 337, 367, 779, 1237, 7627, 997, 3355, 1245, 70477, 159097}},
+{19410, 18, 100968, {1, 3, 1, 13, 19, 31, 11, 91, 179, 425, 1395, 1439, 2723, 401, 26779, 36723, 115743, 179653}},
+{19411, 18, 100981, {1, 1, 3, 1, 29, 35, 11, 217, 301, 421, 765, 1949, 5475, 2247, 3953, 27091, 16895, 194821}},
+{19412, 18, 100986, {1, 1, 5, 9, 11, 21, 95, 135, 127, 65, 609, 3893, 7143, 13231, 29199, 36205, 38711, 159599}},
+{19413, 18, 101001, {1, 3, 5, 13, 25, 25, 101, 221, 495, 993, 961, 2575, 907, 5277, 18415, 1797, 22043, 129889}},
+{19414, 18, 101012, {1, 1, 1, 15, 21, 21, 99, 3, 175, 735, 659, 543, 7573, 15549, 14067, 60009, 65785, 112927}},
+{19415, 18, 101015, {1, 3, 7, 7, 3, 39, 61, 203, 143, 581, 487, 2097, 3943, 6869, 14435, 46431, 101781, 233067}},
+{19416, 18, 101019, {1, 1, 3, 1, 13, 27, 21, 147, 295, 89, 1845, 1017, 4621, 10029, 3517, 25371, 104531, 225179}},
+{19417, 18, 101037, {1, 1, 3, 11, 25, 51, 45, 179, 299, 487, 2039, 85, 4643, 8211, 12051, 64819, 93481, 159511}},
+{19418, 18, 101063, {1, 1, 5, 3, 21, 7, 73, 193, 415, 7, 125, 2487, 7369, 2043, 7633, 19265, 65337, 57399}},
+{19419, 18, 101105, {1, 1, 5, 3, 3, 53, 51, 169, 313, 973, 1549, 243, 3155, 13827, 24971, 61393, 15147, 187397}},
+{19420, 18, 101144, {1, 3, 3, 3, 29, 33, 91, 41, 367, 77, 1259, 1703, 2105, 14473, 17763, 29809, 47777, 205553}},
+{19421, 18, 101147, {1, 3, 7, 3, 23, 61, 59, 235, 51, 41, 417, 691, 2953, 15577, 32283, 2793, 109557, 64729}},
+{19422, 18, 101154, {1, 1, 5, 9, 13, 17, 93, 201, 151, 323, 1481, 3645, 3039, 5131, 503, 42055, 114939, 198755}},
+{19423, 18, 101163, {1, 3, 5, 1, 21, 53, 75, 29, 283, 541, 499, 309, 1923, 995, 21479, 56183, 103743, 152113}},
+{19424, 18, 101166, {1, 3, 1, 3, 21, 51, 67, 97, 481, 509, 805, 213, 5157, 13573, 16187, 8199, 28025, 208445}},
+{19425, 18, 101173, {1, 1, 7, 7, 15, 25, 107, 127, 355, 249, 707, 1287, 6831, 5317, 15613, 12837, 48091, 27611}},
+{19426, 18, 101174, {1, 3, 3, 7, 31, 53, 127, 239, 17, 709, 979, 4023, 7149, 4239, 20015, 44365, 113245, 75873}},
+{19427, 18, 101219, {1, 3, 5, 11, 27, 37, 49, 123, 137, 967, 1857, 3961, 7429, 8355, 30733, 64587, 73903, 188581}},
+{19428, 18, 101240, {1, 3, 3, 7, 19, 51, 69, 121, 345, 637, 1987, 335, 7071, 13849, 22369, 46895, 20761, 148227}},
+{19429, 18, 101250, {1, 1, 3, 11, 9, 1, 93, 151, 487, 889, 919, 2429, 5425, 15303, 12583, 57627, 42683, 98265}},
+{19430, 18, 101259, {1, 3, 5, 3, 1, 29, 87, 189, 285, 805, 933, 1381, 2789, 107, 14215, 33171, 110573, 250983}},
+{19431, 18, 101273, {1, 3, 1, 1, 27, 43, 63, 115, 317, 401, 885, 1029, 7003, 10041, 15299, 42251, 58675, 177545}},
+{19432, 18, 101274, {1, 3, 5, 7, 11, 33, 119, 5, 185, 777, 1795, 1585, 3543, 1801, 17681, 1041, 44513, 105435}},
+{19433, 18, 101285, {1, 3, 1, 9, 19, 33, 15, 253, 299, 925, 241, 1333, 615, 12501, 499, 44449, 16595, 70357}},
+{19434, 18, 101300, {1, 1, 3, 13, 13, 31, 17, 123, 215, 805, 1177, 3683, 27, 11881, 7645, 25575, 63057, 89547}},
+{19435, 18, 101309, {1, 1, 5, 5, 17, 1, 57, 183, 267, 825, 1987, 329, 5603, 1295, 425, 61871, 27859, 157109}},
+{19436, 18, 101310, {1, 3, 3, 11, 19, 45, 37, 79, 191, 17, 17, 3379, 7941, 3159, 20351, 26341, 34687, 116281}},
+{19437, 18, 101321, {1, 1, 3, 7, 11, 7, 61, 199, 459, 993, 1729, 3751, 1067, 14965, 14669, 40281, 12579, 154601}},
+{19438, 18, 101324, {1, 3, 3, 13, 19, 53, 17, 39, 137, 219, 1645, 2899, 505, 10057, 22891, 32317, 81201, 126291}},
+{19439, 18, 101363, {1, 3, 5, 7, 21, 53, 65, 125, 69, 781, 761, 1683, 5817, 11859, 11543, 62853, 57149, 212261}},
+{19440, 18, 101366, {1, 3, 5, 9, 13, 25, 81, 119, 439, 25, 239, 2867, 421, 12631, 22705, 31039, 96105, 79023}},
+{19441, 18, 101377, {1, 3, 5, 3, 19, 9, 51, 135, 437, 393, 1711, 1205, 5195, 10927, 28583, 7513, 110227, 139295}},
+{19442, 18, 101380, {1, 3, 7, 9, 31, 15, 5, 143, 49, 13, 1143, 2325, 5437, 14289, 31555, 58777, 102675, 64559}},
+{19443, 18, 101389, {1, 1, 7, 3, 3, 21, 65, 127, 341, 109, 167, 1835, 6687, 1695, 15631, 47047, 127543, 51413}},
+{19444, 18, 101407, {1, 1, 3, 1, 31, 49, 103, 147, 59, 701, 1251, 3391, 1935, 5371, 28585, 50023, 73839, 118205}},
+{19445, 18, 101411, {1, 3, 3, 1, 5, 49, 91, 23, 91, 663, 1369, 1437, 2657, 11369, 29857, 53875, 127045, 242323}},
+{19446, 18, 101432, {1, 3, 1, 3, 23, 33, 7, 105, 353, 863, 1211, 1175, 1347, 12913, 11973, 55255, 27145, 175539}},
+{19447, 18, 101476, {1, 1, 1, 13, 9, 29, 71, 71, 509, 571, 2005, 3125, 2731, 6829, 26863, 16459, 113195, 80247}},
+{19448, 18, 101488, {1, 3, 5, 1, 7, 11, 45, 177, 281, 695, 1197, 2035, 2137, 11833, 12417, 5805, 77211, 45553}},
+{19449, 18, 101494, {1, 1, 7, 7, 27, 59, 91, 183, 267, 373, 677, 2431, 903, 4229, 31997, 19843, 125089, 242871}},
+{19450, 18, 101514, {1, 3, 3, 13, 23, 23, 53, 101, 225, 247, 2013, 853, 279, 2161, 30045, 28255, 130907, 57157}},
+{19451, 18, 101534, {1, 3, 5, 13, 5, 11, 63, 137, 219, 661, 773, 1991, 4081, 5963, 25207, 50461, 85293, 159441}},
+{19452, 18, 101537, {1, 3, 1, 15, 5, 59, 43, 87, 429, 77, 73, 1275, 2619, 16133, 20009, 26089, 38129, 157267}},
+{19453, 18, 101543, {1, 1, 5, 15, 9, 59, 37, 127, 127, 733, 1703, 1331, 4293, 3555, 22739, 49513, 34533, 143225}},
+{19454, 18, 101547, {1, 1, 7, 7, 11, 51, 121, 59, 505, 147, 1855, 1661, 5539, 3421, 28863, 14811, 39811, 228927}},
+{19455, 18, 101584, {1, 1, 5, 5, 1, 31, 57, 167, 107, 753, 1835, 2491, 3311, 8639, 8743, 17279, 77071, 8673}},
+{19456, 18, 101589, {1, 1, 3, 3, 15, 39, 1, 223, 395, 603, 1095, 435, 1225, 4045, 21721, 40767, 48971, 1583}},
+{19457, 18, 101590, {1, 1, 3, 13, 9, 17, 47, 175, 229, 827, 769, 2901, 137, 9931, 11115, 25337, 105811, 68413}},
+{19458, 18, 101629, {1, 1, 1, 5, 29, 55, 43, 39, 319, 919, 749, 931, 1973, 13147, 913, 48353, 40955, 189783}},
+{19459, 18, 101678, {1, 3, 5, 5, 13, 33, 81, 213, 79, 781, 1069, 3117, 5859, 9061, 30963, 17307, 6281, 208707}},
+{19460, 18, 101683, {1, 1, 5, 13, 27, 63, 41, 91, 123, 763, 1115, 3193, 4571, 4573, 8235, 24291, 40911, 225985}},
+{19461, 18, 101700, {1, 1, 1, 7, 13, 5, 77, 215, 67, 183, 1447, 1571, 213, 3481, 28349, 22451, 44951, 240257}},
+{19462, 18, 101712, {1, 3, 7, 7, 3, 21, 39, 233, 263, 19, 489, 1511, 2313, 1799, 25173, 17913, 70593, 2969}},
+{19463, 18, 101748, {1, 3, 7, 15, 3, 1, 93, 101, 393, 911, 1055, 953, 1279, 11947, 11963, 53443, 29105, 226057}},
+{19464, 18, 101757, {1, 1, 3, 7, 7, 53, 119, 39, 439, 629, 1845, 3411, 3633, 16345, 27501, 59565, 39581, 85373}},
+{19465, 18, 101762, {1, 1, 5, 7, 19, 39, 19, 191, 509, 239, 359, 645, 8107, 13721, 21289, 20763, 67727, 45957}},
+{19466, 18, 101771, {1, 1, 1, 13, 5, 13, 113, 41, 135, 351, 311, 1099, 2391, 16165, 15805, 54737, 102645, 224417}},
+{19467, 18, 101785, {1, 3, 3, 9, 17, 47, 95, 249, 45, 749, 313, 317, 2413, 15861, 27221, 35537, 6407, 50111}},
+{19468, 18, 101795, {1, 1, 7, 5, 29, 57, 81, 7, 233, 393, 307, 1089, 1367, 12275, 11861, 29119, 27271, 36351}},
+{19469, 18, 101822, {1, 3, 5, 15, 9, 15, 23, 241, 233, 305, 1025, 2035, 4897, 10321, 17345, 42873, 109045, 129533}},
+{19470, 18, 101851, {1, 3, 5, 9, 21, 33, 111, 81, 311, 829, 1851, 1437, 5935, 7847, 15493, 28531, 74879, 40567}},
+{19471, 18, 101863, {1, 3, 7, 7, 13, 21, 43, 119, 507, 701, 1385, 745, 799, 1567, 13271, 40267, 130843, 59951}},
+{19472, 18, 101894, {1, 3, 3, 1, 19, 43, 45, 119, 87, 263, 1475, 3897, 2811, 2711, 4949, 48043, 125237, 230897}},
+{19473, 18, 101903, {1, 1, 7, 1, 1, 53, 17, 71, 313, 373, 5, 2359, 1643, 9867, 18365, 5011, 40675, 105371}},
+{19474, 18, 101924, {1, 3, 7, 11, 23, 49, 123, 255, 33, 241, 473, 959, 1859, 6109, 5433, 27625, 46839, 90727}},
+{19475, 18, 101939, {1, 1, 1, 3, 31, 43, 33, 129, 159, 445, 1831, 1005, 587, 2091, 5749, 33271, 50909, 65057}},
+{19476, 18, 101980, {1, 1, 7, 13, 3, 21, 17, 125, 357, 97, 1255, 669, 1583, 7433, 32287, 61795, 5915, 211593}},
+{19477, 18, 101993, {1, 1, 7, 7, 31, 19, 71, 211, 213, 731, 1491, 3315, 3633, 14953, 21369, 4977, 33533, 12115}},
+{19478, 18, 101994, {1, 3, 1, 1, 31, 1, 87, 253, 211, 57, 1431, 2613, 4075, 14463, 11287, 38671, 100129, 4241}},
+{19479, 18, 101996, {1, 1, 1, 5, 21, 13, 27, 29, 31, 285, 179, 3861, 5319, 15683, 2579, 15663, 63357, 81849}},
+{19480, 18, 102007, {1, 1, 3, 7, 23, 29, 29, 79, 263, 865, 1237, 3871, 2097, 5337, 2387, 59277, 28831, 57957}},
+{19481, 18, 102044, {1, 3, 7, 15, 15, 31, 83, 195, 87, 691, 71, 1025, 3145, 675, 14619, 22399, 88885, 222969}},
+{19482, 18, 102086, {1, 1, 5, 7, 19, 3, 121, 105, 383, 675, 777, 2073, 643, 14439, 19467, 13159, 115421, 250561}},
+{19483, 18, 102097, {1, 3, 5, 9, 13, 41, 119, 23, 355, 765, 579, 849, 3313, 2443, 29521, 42965, 102559, 227707}},
+{19484, 18, 102113, {1, 3, 3, 7, 23, 55, 115, 83, 331, 873, 797, 621, 1197, 15299, 26307, 34287, 120459, 260603}},
+{19485, 18, 102123, {1, 1, 3, 5, 7, 11, 113, 119, 65, 691, 1169, 2291, 7283, 1391, 10737, 3801, 40649, 191009}},
+{19486, 18, 102155, {1, 1, 7, 9, 3, 23, 95, 109, 457, 277, 871, 3013, 2833, 4131, 21081, 43635, 19875, 162173}},
+{19487, 18, 102157, {1, 1, 3, 15, 25, 7, 45, 109, 195, 935, 1487, 1603, 1663, 15595, 10687, 4073, 34863, 45851}},
+{19488, 18, 102169, {1, 1, 1, 5, 21, 19, 37, 141, 377, 553, 1225, 2485, 1235, 13179, 2587, 43659, 1405, 52023}},
+{19489, 18, 102181, {1, 3, 1, 9, 5, 27, 1, 219, 397, 555, 533, 941, 2755, 1295, 16157, 30733, 54279, 168455}},
+{19490, 18, 102182, {1, 3, 3, 1, 27, 41, 93, 177, 119, 581, 167, 3943, 5765, 15455, 555, 17419, 33117, 160599}},
+{19491, 18, 102185, {1, 1, 3, 7, 15, 25, 29, 177, 503, 529, 229, 2535, 1493, 805, 30983, 26309, 123453, 118441}},
+{19492, 18, 102199, {1, 1, 7, 15, 13, 33, 83, 151, 183, 433, 823, 4003, 1991, 6563, 18743, 61835, 56535, 191193}},
+{19493, 18, 102208, {1, 1, 1, 13, 9, 31, 91, 63, 455, 67, 243, 1573, 3507, 9491, 4677, 13835, 121603, 241781}},
+{19494, 18, 102213, {1, 1, 5, 5, 29, 13, 45, 29, 289, 909, 1923, 3371, 3675, 13119, 24599, 58511, 109467, 126865}},
+{19495, 18, 102226, {1, 1, 5, 9, 21, 41, 41, 179, 25, 463, 949, 819, 397, 12329, 3461, 34773, 61337, 23579}},
+{19496, 18, 102290, {1, 3, 3, 11, 1, 25, 17, 165, 77, 455, 1983, 143, 2763, 8165, 14849, 1601, 30093, 54599}},
+{19497, 18, 102296, {1, 1, 7, 3, 7, 1, 117, 117, 53, 611, 1405, 3357, 1717, 8157, 247, 17501, 30201, 192485}},
+{19498, 18, 102306, {1, 1, 1, 5, 23, 47, 95, 173, 133, 603, 1627, 4039, 5599, 10575, 30275, 60287, 3313, 77551}},
+{19499, 18, 102317, {1, 1, 1, 9, 31, 49, 87, 169, 221, 561, 1045, 365, 1955, 9905, 13057, 33717, 91203, 57513}},
+{19500, 18, 102337, {1, 3, 3, 1, 19, 25, 113, 231, 415, 717, 1767, 755, 4825, 7541, 10121, 9351, 72093, 255877}},
+{19501, 18, 102344, {1, 3, 1, 7, 1, 35, 3, 231, 345, 375, 809, 2753, 849, 13915, 16127, 7575, 45259, 28917}},
+{19502, 18, 102350, {1, 3, 3, 11, 23, 43, 13, 37, 305, 765, 517, 333, 473, 14949, 11939, 35171, 63963, 181825}},
+{19503, 18, 102378, {1, 3, 3, 3, 5, 43, 35, 89, 293, 913, 1325, 2097, 603, 14365, 4005, 38935, 23837, 34271}},
+{19504, 18, 102383, {1, 1, 3, 15, 1, 47, 67, 199, 167, 909, 1167, 1513, 7087, 5017, 23469, 2621, 24961, 226679}},
+{19505, 18, 102391, {1, 3, 7, 15, 23, 37, 111, 217, 33, 423, 457, 1767, 4821, 10233, 27045, 33397, 85351, 156751}},
+{19506, 18, 102400, {1, 3, 3, 7, 31, 25, 67, 65, 291, 169, 1505, 1707, 4833, 11541, 1189, 62959, 59831, 48729}},
+{19507, 18, 102409, {1, 1, 5, 7, 27, 27, 15, 23, 189, 819, 709, 3591, 2781, 14807, 20303, 27795, 88349, 210251}},
+{19508, 18, 102427, {1, 3, 7, 15, 1, 19, 49, 103, 219, 85, 1281, 3981, 7229, 10427, 11689, 1547, 90747, 12283}},
+{19509, 18, 102434, {1, 1, 1, 13, 31, 49, 81, 121, 287, 851, 333, 353, 7373, 10165, 1157, 11713, 89445, 210709}},
+{19510, 18, 102453, {1, 3, 7, 5, 31, 35, 3, 229, 443, 973, 1971, 1861, 5695, 6725, 6405, 45927, 115313, 228667}},
+{19511, 18, 102472, {1, 3, 3, 11, 29, 17, 105, 203, 69, 945, 1239, 3213, 6005, 10095, 31233, 37421, 62911, 91371}},
+{19512, 18, 102502, {1, 1, 7, 1, 21, 59, 7, 43, 391, 299, 1225, 283, 3351, 11495, 25071, 16619, 65127, 114033}},
+{19513, 18, 102525, {1, 1, 3, 9, 17, 11, 71, 73, 377, 437, 311, 1083, 6941, 1039, 1047, 55647, 21239, 209201}},
+{19514, 18, 102547, {1, 3, 7, 5, 29, 51, 113, 163, 215, 511, 615, 2427, 2747, 14389, 1005, 27015, 31809, 30603}},
+{19515, 18, 102554, {1, 1, 1, 3, 9, 61, 9, 201, 259, 411, 175, 1003, 401, 13695, 13103, 3075, 43695, 177139}},
+{19516, 18, 102560, {1, 1, 5, 3, 17, 47, 125, 173, 277, 17, 619, 2295, 3091, 5615, 4529, 54065, 81875, 97279}},
+{19517, 18, 102578, {1, 3, 3, 9, 3, 61, 97, 151, 287, 671, 1439, 1129, 6343, 8161, 24593, 40371, 109705, 106279}},
+{19518, 18, 102580, {1, 3, 3, 1, 5, 61, 21, 31, 41, 855, 1541, 3351, 575, 3195, 17155, 46913, 1797, 146401}},
+{19519, 18, 102597, {1, 1, 7, 13, 11, 43, 27, 97, 479, 117, 1873, 3103, 1947, 9273, 29171, 35719, 10601, 209629}},
+{19520, 18, 102616, {1, 3, 1, 9, 21, 47, 53, 129, 85, 505, 165, 3437, 5687, 10289, 6615, 46719, 50731, 25271}},
+{19521, 18, 102625, {1, 1, 3, 1, 1, 33, 37, 239, 45, 565, 1907, 3831, 2177, 10967, 12689, 49395, 36289, 247507}},
+{19522, 18, 102632, {1, 1, 5, 1, 19, 57, 75, 245, 59, 967, 1319, 3971, 5267, 11713, 15417, 60503, 63431, 157267}},
+{19523, 18, 102663, {1, 1, 5, 7, 7, 15, 99, 87, 331, 261, 1973, 219, 3063, 4071, 19273, 48637, 128089, 55511}},
+{19524, 18, 102669, {1, 3, 5, 13, 23, 43, 7, 171, 173, 1023, 1145, 3551, 5127, 6365, 18013, 1613, 51997, 107265}},
+{19525, 18, 102681, {1, 3, 5, 3, 7, 7, 23, 195, 251, 387, 1889, 3645, 4221, 6025, 27291, 24831, 123749, 231403}},
+{19526, 18, 102694, {1, 3, 1, 1, 29, 49, 107, 215, 93, 211, 1349, 1925, 7149, 1015, 27465, 34139, 126149, 121349}},
+{19527, 18, 102706, {1, 1, 5, 5, 19, 15, 121, 189, 167, 801, 483, 1955, 8031, 4749, 26665, 64791, 18671, 123221}},
+{19528, 18, 102715, {1, 3, 3, 15, 23, 57, 15, 249, 197, 103, 2021, 1897, 5975, 12821, 6441, 62719, 81415, 232417}},
+{19529, 18, 102723, {1, 1, 3, 9, 17, 45, 111, 225, 103, 121, 1259, 2849, 2235, 2041, 13261, 7929, 76325, 38677}},
+{19530, 18, 102730, {1, 1, 3, 9, 25, 17, 63, 63, 369, 387, 31, 1423, 5699, 12519, 27407, 53193, 963, 123473}},
+{19531, 18, 102743, {1, 3, 3, 13, 3, 59, 59, 3, 367, 357, 1391, 1519, 2619, 2291, 1349, 28275, 21655, 8763}},
+{19532, 18, 102856, {1, 1, 7, 1, 31, 51, 121, 49, 157, 509, 1513, 3247, 3439, 8691, 20729, 17585, 49013, 228695}},
+{19533, 18, 102870, {1, 1, 5, 9, 11, 29, 103, 49, 209, 35, 673, 1409, 2483, 4561, 12435, 46139, 31019, 50929}},
+{19534, 18, 102898, {1, 1, 3, 9, 11, 45, 77, 143, 277, 769, 1151, 3705, 7901, 3735, 31155, 46135, 84061, 254357}},
+{19535, 18, 102926, {1, 3, 3, 3, 5, 51, 95, 7, 155, 121, 1899, 2261, 2915, 6637, 6557, 20535, 20937, 257275}},
+{19536, 18, 102931, {1, 1, 7, 9, 13, 49, 125, 135, 7, 535, 1171, 3501, 1701, 5791, 10121, 9845, 21645, 56451}},
+{19537, 18, 102938, {1, 1, 7, 5, 9, 1, 115, 27, 229, 813, 133, 753, 1959, 13121, 30425, 31059, 114619, 132257}},
+{19538, 18, 102947, {1, 1, 5, 3, 23, 25, 41, 165, 21, 551, 1751, 3563, 731, 15811, 14777, 22327, 82853, 116699}},
+{19539, 18, 102968, {1, 3, 1, 9, 3, 25, 95, 211, 457, 25, 349, 921, 213, 5721, 26725, 19541, 102473, 200845}},
+{19540, 18, 102976, {1, 3, 1, 13, 5, 1, 31, 49, 493, 785, 61, 2603, 5997, 12545, 9793, 32521, 99859, 256105}},
+{19541, 18, 102993, {1, 3, 3, 7, 31, 19, 31, 121, 507, 79, 685, 197, 4027, 12909, 30533, 38427, 38993, 14581}},
+{19542, 18, 103005, {1, 3, 7, 13, 13, 23, 63, 15, 223, 25, 1957, 2527, 6061, 11753, 4835, 34553, 45579, 205805}},
+{19543, 18, 103019, {1, 3, 3, 3, 5, 39, 55, 123, 275, 185, 749, 3227, 8137, 12959, 7243, 20613, 46247, 106127}},
+{19544, 18, 103022, {1, 1, 7, 13, 1, 21, 49, 145, 237, 291, 1721, 2981, 267, 1255, 21817, 39553, 21937, 115307}},
+{19545, 18, 103057, {1, 1, 1, 15, 5, 63, 3, 201, 117, 991, 1049, 1975, 5117, 5799, 28211, 37907, 46799, 240847}},
+{19546, 18, 103080, {1, 3, 3, 5, 25, 15, 29, 111, 201, 857, 319, 2695, 4251, 4303, 28495, 12481, 31979, 107503}},
+{19547, 18, 103100, {1, 1, 3, 11, 3, 27, 81, 55, 489, 983, 293, 3181, 4593, 4759, 18437, 51185, 47701, 75469}},
+{19548, 18, 103106, {1, 3, 1, 3, 11, 25, 113, 243, 365, 299, 1717, 561, 5173, 5983, 7453, 33563, 98519, 162451}},
+{19549, 18, 103126, {1, 3, 1, 5, 1, 21, 3, 87, 267, 483, 1397, 791, 4807, 4649, 13713, 19861, 110471, 51443}},
+{19550, 18, 103173, {1, 3, 7, 5, 31, 9, 13, 251, 351, 609, 841, 3267, 4201, 8771, 6673, 44867, 105221, 189399}},
+{19551, 18, 103202, {1, 1, 3, 1, 13, 43, 47, 153, 331, 1013, 705, 1867, 563, 6361, 7407, 46243, 30521, 213831}},
+{19552, 18, 103207, {1, 3, 3, 7, 29, 41, 3, 179, 319, 877, 905, 3803, 2775, 9729, 5673, 9521, 117887, 37605}},
+{19553, 18, 103219, {1, 1, 5, 5, 11, 49, 111, 195, 467, 931, 849, 2785, 7829, 2291, 29031, 52019, 86493, 213971}},
+{19554, 18, 103226, {1, 1, 3, 11, 13, 11, 81, 81, 419, 621, 181, 1203, 7305, 7857, 16885, 2531, 53127, 35553}},
+{19555, 18, 103228, {1, 1, 5, 1, 19, 35, 75, 131, 159, 211, 319, 2805, 6497, 14759, 28997, 62347, 4013, 233821}},
+{19556, 18, 103248, {1, 3, 3, 15, 1, 55, 107, 105, 35, 369, 1259, 665, 6717, 2555, 7149, 10373, 33153, 105915}},
+{19557, 18, 103274, {1, 3, 7, 5, 31, 13, 27, 207, 359, 355, 2047, 1777, 5555, 12659, 30547, 3655, 86189, 961}},
+{19558, 18, 103288, {1, 3, 7, 9, 9, 55, 7, 117, 57, 115, 745, 501, 2341, 3899, 8229, 10625, 66905, 187959}},
+{19559, 18, 103291, {1, 3, 3, 13, 25, 43, 87, 197, 303, 405, 1459, 3385, 4109, 8325, 24747, 18405, 48845, 96673}},
+{19560, 18, 103293, {1, 3, 5, 3, 21, 37, 109, 9, 183, 585, 1287, 3851, 4939, 1057, 19489, 42603, 32447, 117957}},
+{19561, 18, 103324, {1, 1, 5, 13, 3, 47, 109, 115, 73, 733, 1189, 3773, 7471, 10339, 5093, 50253, 122665, 254381}},
+{19562, 18, 103358, {1, 1, 5, 5, 21, 33, 113, 187, 51, 245, 241, 3887, 4075, 11945, 20883, 18817, 43567, 851}},
+{19563, 18, 103372, {1, 3, 7, 3, 1, 29, 87, 101, 29, 93, 643, 2659, 1753, 4797, 17477, 16087, 43453, 110383}},
+{19564, 18, 103375, {1, 1, 7, 13, 17, 51, 75, 91, 445, 171, 1369, 499, 3753, 14035, 4445, 21437, 86205, 231163}},
+{19565, 18, 103390, {1, 1, 7, 13, 17, 41, 67, 49, 225, 659, 1181, 1751, 5211, 6847, 20339, 34271, 60273, 52315}},
+{19566, 18, 103414, {1, 1, 5, 5, 5, 17, 87, 223, 25, 773, 53, 2447, 6805, 6547, 4429, 46809, 51171, 66457}},
+{19567, 18, 103432, {1, 1, 5, 3, 29, 49, 11, 205, 279, 821, 725, 2425, 443, 211, 6347, 59845, 90763, 237911}},
+{19568, 18, 103446, {1, 1, 3, 9, 31, 7, 49, 1, 229, 755, 517, 809, 2955, 3571, 2385, 33097, 19659, 55397}},
+{19569, 18, 103455, {1, 3, 5, 3, 5, 21, 67, 227, 359, 401, 1697, 2131, 4585, 2661, 3659, 22621, 51639, 245877}},
+{19570, 18, 103471, {1, 1, 7, 5, 11, 7, 57, 133, 9, 917, 427, 2777, 6009, 11393, 29473, 59311, 77095, 176215}},
+{19571, 18, 103474, {1, 1, 7, 5, 13, 29, 101, 15, 293, 7, 797, 437, 3739, 3369, 16917, 19047, 17773, 219541}},
+{19572, 18, 103476, {1, 3, 1, 9, 13, 51, 15, 19, 209, 991, 413, 787, 3797, 14029, 23699, 8591, 40429, 56115}},
+{19573, 18, 103515, {1, 3, 7, 3, 31, 9, 77, 33, 487, 155, 1903, 3023, 8163, 385, 4703, 57511, 102083, 85785}},
+{19574, 18, 103527, {1, 1, 5, 11, 17, 59, 115, 73, 89, 723, 1523, 2671, 1755, 3463, 19861, 31573, 126405, 90215}},
+{19575, 18, 103542, {1, 3, 3, 13, 17, 27, 123, 37, 71, 173, 203, 1245, 7905, 8955, 22589, 56705, 120473, 90129}},
+{19576, 18, 103562, {1, 3, 3, 1, 17, 63, 55, 225, 259, 531, 1493, 2639, 1319, 10865, 17993, 11205, 13253, 111261}},
+{19577, 18, 103569, {1, 1, 1, 11, 25, 17, 41, 45, 385, 1009, 1573, 1797, 527, 543, 14743, 35789, 63871, 112183}},
+{19578, 18, 103572, {1, 1, 7, 15, 15, 57, 109, 127, 143, 955, 1091, 2585, 3429, 11763, 5849, 53805, 116865, 68895}},
+{19579, 18, 103581, {1, 1, 7, 15, 9, 11, 1, 9, 491, 765, 1835, 3825, 5043, 13091, 4123, 19621, 17687, 241015}},
+{19580, 18, 103609, {1, 3, 5, 7, 25, 51, 117, 193, 91, 451, 1871, 3819, 1881, 8065, 25809, 36257, 107955, 37109}},
+{19581, 18, 103612, {1, 3, 1, 15, 5, 5, 101, 7, 59, 859, 977, 2673, 2825, 3291, 26283, 23467, 28383, 257775}},
+{19582, 18, 103618, {1, 3, 3, 15, 17, 43, 87, 191, 85, 829, 653, 327, 1773, 10101, 2707, 18341, 61435, 242215}},
+{19583, 18, 103637, {1, 3, 7, 13, 27, 43, 127, 253, 403, 81, 505, 2841, 1509, 4951, 23791, 18099, 46747, 192717}},
+{19584, 18, 103644, {1, 1, 1, 9, 31, 15, 127, 29, 171, 999, 1919, 4059, 2781, 2475, 8997, 15459, 37003, 217141}},
+{19585, 18, 103653, {1, 3, 3, 1, 31, 41, 67, 31, 171, 719, 789, 645, 3925, 11117, 1241, 63221, 1087, 59789}},
+{19586, 18, 103663, {1, 1, 1, 9, 17, 41, 107, 13, 405, 879, 1955, 3309, 1281, 10601, 13883, 43987, 111691, 130555}},
+{19587, 18, 103671, {1, 3, 7, 9, 21, 17, 127, 243, 51, 689, 1945, 3769, 7121, 7703, 16825, 34893, 32167, 20167}},
+{19588, 18, 103678, {1, 1, 1, 5, 7, 7, 61, 149, 75, 289, 717, 1951, 5917, 13375, 15683, 27507, 10897, 199009}},
+{19589, 18, 103695, {1, 3, 7, 9, 25, 61, 43, 167, 45, 299, 5, 125, 3289, 13685, 10843, 25535, 98383, 143401}},
+{19590, 18, 103698, {1, 1, 3, 15, 21, 27, 37, 45, 233, 179, 611, 3025, 7887, 9421, 16791, 17147, 49013, 33249}},
+{19591, 18, 103720, {1, 3, 7, 15, 19, 43, 43, 9, 255, 295, 649, 811, 1303, 1989, 5401, 53891, 42679, 66879}},
+{19592, 18, 103723, {1, 1, 7, 7, 25, 31, 89, 199, 455, 733, 295, 1157, 4375, 7341, 7823, 6025, 56311, 257579}},
+{19593, 18, 103738, {1, 1, 7, 3, 1, 51, 15, 29, 35, 917, 1839, 741, 1089, 8615, 4967, 34047, 32981, 200693}},
+{19594, 18, 103743, {1, 3, 3, 11, 21, 13, 71, 53, 315, 801, 1015, 3829, 2297, 6649, 28501, 18173, 83121, 107195}},
+{19595, 18, 103745, {1, 1, 7, 7, 1, 5, 127, 103, 435, 707, 7, 1045, 187, 10927, 32395, 24999, 58463, 94069}},
+{19596, 18, 103757, {1, 1, 7, 9, 11, 25, 73, 57, 231, 455, 1033, 2899, 2861, 8811, 21671, 16115, 97807, 221791}},
+{19597, 18, 103810, {1, 3, 5, 11, 11, 19, 105, 37, 181, 1, 1231, 2275, 4789, 13071, 24843, 25901, 123711, 145609}},
+{19598, 18, 103822, {1, 3, 7, 13, 7, 7, 21, 215, 393, 43, 1713, 2921, 1959, 14417, 17109, 55793, 36285, 81731}},
+{19599, 18, 103855, {1, 1, 5, 15, 29, 15, 5, 115, 15, 795, 1535, 2473, 3663, 10123, 20721, 32739, 21141, 217731}},
+{19600, 18, 103887, {1, 1, 3, 1, 15, 13, 21, 49, 293, 689, 985, 3949, 3329, 7167, 16925, 15069, 47345, 192749}},
+{19601, 18, 103905, {1, 3, 3, 7, 5, 27, 85, 11, 337, 651, 777, 1775, 5279, 15229, 21473, 36561, 85293, 27893}},
+{19602, 18, 103915, {1, 3, 7, 1, 15, 29, 7, 199, 71, 893, 1587, 1831, 3891, 3299, 14323, 23165, 28199, 84055}},
+{19603, 18, 103925, {1, 1, 1, 7, 9, 27, 15, 75, 497, 127, 433, 1781, 3711, 12659, 3765, 40827, 112425, 36281}},
+{19604, 18, 103929, {1, 1, 5, 1, 31, 59, 9, 91, 301, 217, 2013, 2015, 265, 3795, 14609, 13389, 5451, 260169}},
+{19605, 18, 103945, {1, 1, 1, 15, 19, 43, 85, 37, 33, 687, 1253, 2615, 4027, 3741, 13971, 21261, 106261, 204233}},
+{19606, 18, 103954, {1, 1, 7, 9, 31, 45, 105, 111, 207, 433, 633, 3949, 8057, 5049, 23657, 12227, 86251, 218077}},
+{19607, 18, 103969, {1, 3, 5, 11, 13, 33, 1, 67, 117, 595, 1835, 287, 2509, 14841, 1525, 15761, 61319, 182531}},
+{19608, 18, 104011, {1, 1, 3, 9, 7, 43, 105, 85, 17, 349, 1769, 3945, 31, 4907, 9373, 22447, 70905, 29189}},
+{19609, 18, 104055, {1, 1, 5, 5, 9, 19, 93, 179, 95, 255, 1807, 2717, 4757, 15025, 19479, 63499, 42441, 236519}},
+{19610, 18, 104111, {1, 1, 1, 1, 21, 35, 1, 101, 343, 1023, 1311, 347, 301, 8419, 23367, 31543, 51661, 148277}},
+{19611, 18, 104116, {1, 1, 7, 11, 23, 37, 113, 207, 147, 743, 1905, 1683, 3733, 5659, 22491, 62129, 111671, 227019}},
+{19612, 18, 104125, {1, 1, 3, 13, 27, 5, 21, 207, 445, 319, 1355, 2541, 2853, 583, 1261, 64477, 18337, 91611}},
+{19613, 18, 104145, {1, 3, 5, 3, 1, 31, 51, 55, 487, 735, 1599, 523, 5323, 10855, 28717, 62103, 18671, 143885}},
+{19614, 18, 104162, {1, 3, 1, 1, 15, 5, 79, 107, 173, 747, 1213, 1151, 875, 12759, 27115, 16403, 31349, 208909}},
+{19615, 18, 104176, {1, 3, 5, 9, 13, 57, 35, 121, 135, 237, 1707, 3655, 8109, 3623, 5119, 27645, 49401, 46453}},
+{19616, 18, 104193, {1, 3, 7, 11, 27, 3, 103, 231, 43, 515, 1279, 499, 1355, 2605, 11587, 33641, 81661, 29441}},
+{19617, 18, 104199, {1, 3, 5, 7, 13, 27, 55, 191, 81, 185, 527, 519, 4555, 3349, 24533, 60635, 40009, 230761}},
+{19618, 18, 104224, {1, 1, 5, 3, 13, 35, 75, 211, 67, 305, 705, 543, 3819, 16265, 9867, 64309, 35047, 24873}},
+{19619, 18, 104236, {1, 3, 1, 1, 11, 37, 75, 3, 145, 327, 1243, 3291, 7127, 5009, 7757, 59567, 90459, 98035}},
+{19620, 18, 104247, {1, 3, 5, 9, 9, 5, 71, 29, 243, 41, 447, 2597, 1243, 12899, 19681, 30523, 90799, 142279}},
+{19621, 18, 104254, {1, 3, 3, 3, 15, 21, 25, 101, 451, 651, 143, 3899, 3377, 4855, 23843, 25047, 87951, 239229}},
+{19622, 18, 104289, {1, 1, 1, 1, 23, 29, 25, 31, 227, 43, 399, 723, 693, 12379, 11343, 46123, 105435, 224997}},
+{19623, 18, 104325, {1, 1, 7, 3, 21, 47, 77, 57, 397, 689, 267, 813, 1279, 1727, 7451, 34025, 90273, 111663}},
+{19624, 18, 104332, {1, 1, 5, 3, 25, 61, 7, 137, 271, 723, 495, 2575, 3695, 4947, 31973, 47835, 107003, 221839}},
+{19625, 18, 104335, {1, 3, 1, 7, 5, 25, 21, 95, 323, 3, 613, 1721, 2551, 8803, 6803, 52765, 34543, 110945}},
+{19626, 18, 104353, {1, 3, 5, 9, 27, 23, 123, 193, 63, 161, 1395, 679, 161, 13719, 29321, 19243, 51947, 229547}},
+{19627, 18, 104363, {1, 3, 5, 15, 15, 37, 127, 103, 439, 513, 989, 1393, 3761, 9109, 20649, 18171, 69939, 117447}},
+{19628, 18, 104371, {1, 1, 7, 9, 7, 57, 87, 159, 195, 821, 57, 2469, 7693, 6759, 32595, 41109, 94785, 53381}},
+{19629, 18, 104373, {1, 3, 3, 7, 17, 63, 41, 7, 437, 469, 1453, 3741, 7591, 5563, 11819, 23861, 129777, 119731}},
+{19630, 18, 104406, {1, 1, 3, 3, 27, 55, 21, 145, 243, 991, 687, 909, 2105, 4485, 9095, 3677, 53819, 183027}},
+{19631, 18, 104412, {1, 1, 1, 15, 13, 61, 27, 81, 95, 37, 1439, 973, 7613, 5749, 16811, 26801, 105745, 8847}},
+{19632, 18, 104440, {1, 3, 1, 9, 15, 17, 111, 61, 27, 373, 89, 2729, 6397, 4899, 11297, 4403, 30657, 207379}},
+{19633, 18, 104459, {1, 3, 5, 15, 19, 9, 19, 19, 497, 667, 105, 601, 6715, 6355, 4231, 19241, 101771, 105651}},
+{19634, 18, 104461, {1, 1, 3, 9, 11, 11, 115, 109, 177, 753, 997, 2119, 5969, 13377, 13285, 25373, 105023, 158393}},
+{19635, 18, 104469, {1, 3, 5, 15, 27, 23, 19, 117, 129, 457, 1973, 2171, 8071, 2093, 13407, 9295, 82967, 184753}},
+{19636, 18, 104479, {1, 1, 7, 5, 1, 45, 9, 25, 307, 629, 1169, 2859, 3987, 11411, 13609, 44993, 26019, 107003}},
+{19637, 18, 104483, {1, 1, 1, 13, 29, 15, 13, 163, 203, 885, 281, 1605, 8001, 899, 4081, 65467, 61283, 198963}},
+{19638, 18, 104490, {1, 1, 3, 5, 27, 9, 89, 193, 375, 633, 1807, 2069, 3467, 3167, 23751, 39115, 90093, 190365}},
+{19639, 18, 104500, {1, 3, 3, 5, 1, 1, 19, 161, 21, 745, 493, 2227, 7993, 3337, 27041, 4817, 58963, 237015}},
+{19640, 18, 104536, {1, 3, 5, 15, 15, 45, 51, 145, 299, 787, 1059, 2407, 1143, 775, 17473, 22235, 18241, 103897}},
+{19641, 18, 104560, {1, 1, 1, 9, 11, 35, 75, 195, 281, 935, 113, 3009, 4797, 7221, 12475, 18563, 10315, 255541}},
+{19642, 18, 104569, {1, 1, 5, 7, 25, 9, 121, 179, 303, 511, 2041, 1485, 529, 13843, 29013, 28139, 63237, 21259}},
+{19643, 18, 104588, {1, 3, 7, 11, 9, 21, 61, 177, 63, 179, 679, 17, 4069, 8929, 14499, 53913, 27925, 48449}},
+{19644, 18, 104591, {1, 3, 5, 3, 9, 27, 111, 247, 253, 175, 1591, 3583, 3351, 9039, 597, 23859, 126585, 157367}},
+{19645, 18, 104621, {1, 1, 7, 9, 1, 9, 29, 1, 273, 89, 767, 1873, 39, 10487, 29857, 23577, 67457, 44571}},
+{19646, 18, 104661, {1, 1, 7, 5, 5, 23, 13, 181, 283, 333, 21, 1409, 5937, 8981, 7445, 61267, 21729, 32677}},
+{19647, 18, 104675, {1, 3, 1, 15, 31, 5, 45, 253, 179, 91, 341, 359, 4269, 7567, 23699, 30589, 42909, 126171}},
+{19648, 18, 104684, {1, 3, 7, 7, 23, 45, 15, 93, 115, 873, 49, 845, 827, 14357, 20163, 41565, 37105, 120331}},
+{19649, 18, 104713, {1, 1, 7, 7, 15, 25, 55, 175, 11, 457, 1537, 1937, 807, 11399, 27751, 16935, 75231, 204039}},
+{19650, 18, 104747, {1, 3, 7, 13, 1, 37, 67, 145, 471, 1013, 1273, 4093, 4449, 4433, 29063, 205, 93249, 140383}},
+{19651, 18, 104750, {1, 3, 1, 13, 1, 57, 85, 223, 349, 125, 863, 2179, 7813, 8817, 1767, 19169, 41367, 65883}},
+{19652, 18, 104757, {1, 3, 3, 15, 21, 39, 3, 31, 67, 505, 271, 505, 5495, 4183, 3631, 4567, 48061, 149565}},
+{19653, 18, 104775, {1, 1, 7, 11, 13, 39, 109, 201, 287, 1013, 1505, 3105, 3845, 1963, 4361, 61753, 29145, 146235}},
+{19654, 18, 104782, {1, 3, 5, 3, 29, 39, 71, 99, 501, 53, 835, 3295, 5335, 1017, 25913, 63637, 115353, 210509}},
+{19655, 18, 104803, {1, 3, 1, 13, 9, 53, 33, 177, 419, 63, 793, 1329, 2261, 11633, 18805, 49771, 47533, 74949}},
+{19656, 18, 104820, {1, 3, 7, 11, 7, 49, 123, 237, 195, 17, 1919, 1911, 4135, 11829, 26307, 34905, 114361, 228655}},
+{19657, 18, 104824, {1, 3, 5, 3, 5, 57, 65, 161, 195, 857, 1187, 2303, 1975, 2555, 26065, 17963, 57403, 136193}},
+{19658, 18, 104829, {1, 1, 3, 11, 1, 5, 105, 217, 229, 769, 1393, 2419, 7751, 14293, 9407, 4569, 30663, 89345}},
+{19659, 18, 104830, {1, 3, 3, 7, 23, 15, 15, 189, 67, 863, 485, 2435, 5145, 10537, 16485, 50369, 118245, 253201}},
+{19660, 18, 104836, {1, 1, 1, 5, 27, 27, 47, 129, 383, 227, 115, 3027, 1575, 15765, 10207, 4885, 125707, 184703}},
+{19661, 18, 104851, {1, 3, 5, 5, 17, 9, 45, 55, 151, 751, 415, 2139, 8071, 2309, 27641, 29743, 47183, 21437}},
+{19662, 18, 104882, {1, 3, 3, 7, 9, 47, 51, 31, 261, 237, 1695, 1065, 4503, 7167, 25791, 39659, 90145, 130481}},
+{19663, 18, 104920, {1, 1, 3, 3, 21, 27, 53, 249, 407, 779, 1315, 1005, 6953, 14959, 2265, 61645, 118623, 254067}},
+{19664, 18, 104941, {1, 3, 1, 9, 13, 25, 33, 225, 467, 325, 1513, 1237, 1569, 8749, 1587, 4699, 19893, 163597}},
+{19665, 18, 104963, {1, 3, 5, 5, 29, 29, 1, 55, 437, 575, 149, 791, 4243, 4405, 22963, 64125, 21631, 25819}},
+{19666, 18, 104989, {1, 3, 5, 3, 25, 9, 19, 27, 419, 139, 2035, 2065, 1925, 11499, 20053, 13161, 15115, 120891}},
+{19667, 18, 104999, {1, 1, 5, 9, 7, 9, 113, 3, 195, 555, 863, 595, 6569, 9819, 14727, 38285, 13737, 130903}},
+{19668, 18, 105006, {1, 1, 3, 7, 19, 17, 35, 107, 489, 285, 247, 3103, 2919, 11163, 2811, 62081, 42989, 24495}},
+{19669, 18, 105040, {1, 3, 1, 15, 17, 5, 123, 221, 117, 689, 1567, 3803, 5801, 14121, 23263, 8851, 41559, 226271}},
+{19670, 18, 105066, {1, 1, 1, 15, 21, 39, 87, 135, 485, 59, 1899, 2483, 2599, 8783, 6129, 55407, 7291, 217117}},
+{19671, 18, 105089, {1, 1, 3, 11, 27, 53, 45, 241, 51, 829, 121, 3047, 6785, 15127, 13923, 47913, 9087, 112005}},
+{19672, 18, 105120, {1, 1, 1, 13, 5, 9, 45, 37, 235, 497, 871, 1471, 2895, 247, 9085, 39611, 63445, 218391}},
+{19673, 18, 105125, {1, 1, 5, 3, 5, 29, 23, 155, 339, 293, 535, 1569, 2625, 2867, 4639, 53049, 88721, 96903}},
+{19674, 18, 105137, {1, 1, 3, 15, 5, 25, 17, 45, 47, 683, 949, 1381, 5929, 9539, 3345, 59883, 19071, 200411}},
+{19675, 18, 105179, {1, 1, 1, 11, 11, 5, 71, 15, 469, 749, 1763, 541, 7109, 11731, 8463, 35145, 121795, 219441}},
+{19676, 18, 105215, {1, 3, 7, 11, 5, 17, 63, 159, 69, 993, 1519, 1531, 6913, 3901, 22131, 42909, 41299, 261813}},
+{19677, 18, 105244, {1, 1, 3, 5, 21, 27, 27, 197, 339, 275, 2011, 2263, 855, 1939, 21561, 30577, 6515, 124417}},
+{19678, 18, 105258, {1, 3, 5, 15, 25, 35, 91, 31, 269, 857, 327, 3643, 3211, 14401, 18399, 9007, 12897, 25555}},
+{19679, 18, 105263, {1, 1, 7, 15, 19, 47, 127, 157, 407, 867, 943, 1509, 3113, 49, 32131, 46975, 130013, 66457}},
+{19680, 18, 105280, {1, 3, 3, 13, 31, 45, 59, 135, 67, 825, 157, 2441, 2851, 2355, 28115, 14075, 106317, 145945}},
+{19681, 18, 105286, {1, 1, 1, 15, 27, 27, 5, 211, 85, 749, 671, 1341, 6865, 10027, 14419, 20159, 126647, 147893}},
+{19682, 18, 105380, {1, 1, 1, 7, 25, 49, 115, 231, 65, 161, 1409, 573, 2859, 639, 12567, 58459, 73781, 136893}},
+{19683, 18, 105397, {1, 1, 1, 7, 11, 57, 97, 141, 327, 975, 1799, 3051, 365, 9331, 14583, 16723, 113153, 224127}},
+{19684, 18, 105409, {1, 3, 1, 13, 13, 17, 105, 109, 151, 41, 1903, 1685, 2285, 5697, 16559, 34133, 106045, 203217}},
+{19685, 18, 105427, {1, 1, 1, 3, 29, 61, 43, 255, 269, 277, 1847, 3781, 7991, 131, 9833, 34305, 10763, 41869}},
+{19686, 18, 105452, {1, 1, 7, 3, 11, 1, 85, 89, 247, 99, 419, 2041, 3729, 10301, 5291, 36033, 31749, 261871}},
+{19687, 18, 105469, {1, 3, 7, 9, 27, 27, 41, 3, 303, 893, 697, 1631, 5015, 4233, 22827, 3913, 22245, 121193}},
+{19688, 18, 105472, {1, 3, 3, 13, 19, 11, 15, 239, 419, 123, 1213, 185, 4465, 4909, 25421, 18363, 72537, 167939}},
+{19689, 18, 105477, {1, 1, 3, 5, 13, 49, 57, 197, 19, 877, 1465, 2933, 5909, 7147, 1039, 37035, 91209, 126013}},
+{19690, 18, 105490, {1, 1, 3, 5, 23, 7, 63, 179, 59, 47, 1501, 1863, 2949, 13959, 28131, 29705, 107975, 155251}},
+{19691, 18, 105505, {1, 1, 1, 5, 25, 51, 77, 169, 327, 585, 1531, 3367, 3075, 6313, 26725, 453, 68635, 173787}},
+{19692, 18, 105529, {1, 3, 7, 9, 5, 15, 43, 45, 311, 367, 297, 2249, 7507, 4785, 22685, 37279, 121683, 141453}},
+{19693, 18, 105530, {1, 3, 7, 15, 17, 33, 43, 251, 281, 345, 1659, 3729, 7629, 6179, 26107, 64255, 88003, 2545}},
+{19694, 18, 105604, {1, 3, 7, 9, 17, 13, 71, 49, 341, 495, 1975, 173, 5773, 3821, 6615, 50917, 53781, 75557}},
+{19695, 18, 105614, {1, 1, 5, 13, 17, 21, 121, 35, 195, 367, 1191, 1331, 6423, 8425, 7705, 59117, 44575, 225431}},
+{19696, 18, 105622, {1, 1, 1, 5, 25, 39, 89, 65, 449, 491, 211, 2949, 4493, 23, 22571, 4801, 50525, 222563}},
+{19697, 18, 105625, {1, 1, 7, 5, 7, 21, 15, 171, 443, 225, 577, 1841, 8139, 15071, 6095, 60185, 71957, 244753}},
+{19698, 18, 105652, {1, 1, 5, 9, 31, 33, 21, 195, 415, 1003, 441, 627, 2339, 8245, 11187, 55933, 59045, 177455}},
+{19699, 18, 105687, {1, 1, 3, 9, 31, 29, 7, 15, 31, 577, 1435, 1317, 2923, 3807, 29693, 45857, 61787, 213565}},
+{19700, 18, 105693, {1, 3, 7, 15, 17, 51, 65, 87, 295, 811, 753, 1113, 7695, 275, 28331, 46363, 53247, 166993}},
+{19701, 18, 105707, {1, 1, 5, 11, 15, 31, 31, 47, 273, 383, 1831, 3821, 1337, 13257, 415, 35453, 15293, 173095}},
+{19702, 18, 105721, {1, 3, 1, 13, 19, 21, 63, 199, 159, 475, 1257, 3119, 7083, 2861, 21099, 16873, 83583, 186289}},
+{19703, 18, 105730, {1, 1, 7, 13, 15, 23, 11, 103, 387, 899, 261, 2863, 3681, 5683, 5587, 64655, 7411, 148633}},
+{19704, 18, 105736, {1, 3, 1, 13, 1, 45, 5, 173, 379, 287, 1451, 2253, 3811, 10963, 20285, 59681, 81285, 48523}},
+{19705, 18, 105753, {1, 1, 5, 9, 27, 17, 57, 25, 499, 289, 1083, 3057, 793, 5251, 10519, 36647, 67751, 237487}},
+{19706, 18, 105759, {1, 1, 3, 1, 17, 13, 23, 73, 1, 951, 111, 3769, 3611, 4827, 10081, 55919, 21411, 127303}},
+{19707, 18, 105760, {1, 3, 1, 1, 29, 35, 93, 139, 179, 217, 1839, 1907, 4365, 1813, 31985, 28927, 39319, 233413}},
+{19708, 18, 105802, {1, 1, 1, 7, 7, 47, 37, 127, 449, 473, 311, 3833, 3263, 4163, 15985, 50159, 82685, 73273}},
+{19709, 18, 105822, {1, 1, 1, 3, 3, 5, 69, 95, 101, 115, 1575, 63, 1897, 13733, 22149, 8793, 82983, 192553}},
+{19710, 18, 105832, {1, 3, 1, 5, 3, 57, 121, 13, 291, 975, 505, 3105, 6929, 12737, 25869, 29173, 16757, 17733}},
+{19711, 18, 105865, {1, 1, 3, 13, 13, 23, 51, 51, 239, 795, 877, 1547, 6533, 11497, 14309, 32941, 128109, 187313}},
+{19712, 18, 105873, {1, 1, 3, 5, 19, 37, 57, 223, 509, 379, 1235, 1881, 4133, 13219, 5479, 36781, 56155, 231001}},
+{19713, 18, 105874, {1, 1, 1, 5, 25, 45, 111, 183, 37, 875, 1487, 3771, 5593, 6835, 10921, 40697, 114455, 259491}},
+{19714, 18, 105880, {1, 1, 3, 11, 13, 5, 43, 47, 7, 435, 1543, 3835, 1631, 8889, 23567, 24705, 26687, 14261}},
+{19715, 18, 105899, {1, 3, 3, 11, 1, 13, 51, 171, 433, 1011, 679, 1307, 1683, 7379, 7163, 29727, 40209, 259973}},
+{19716, 18, 105902, {1, 3, 1, 5, 25, 33, 111, 11, 303, 815, 1883, 263, 7907, 12637, 19203, 64151, 55739, 240509}},
+{19717, 18, 105909, {1, 3, 5, 7, 23, 51, 3, 183, 425, 47, 231, 807, 1891, 10943, 17873, 20209, 60871, 30269}},
+{19718, 18, 105919, {1, 1, 1, 1, 1, 23, 11, 183, 351, 5, 37, 3883, 1291, 15933, 11379, 53057, 61389, 240547}},
+{19719, 18, 105922, {1, 3, 1, 5, 7, 53, 97, 29, 239, 805, 1929, 1001, 5103, 11, 24695, 7825, 109755, 254717}},
+{19720, 18, 105946, {1, 3, 3, 11, 15, 37, 115, 117, 391, 313, 1761, 3627, 3931, 10277, 1767, 25401, 123827, 60463}},
+{19721, 18, 105975, {1, 1, 7, 9, 9, 61, 23, 65, 473, 579, 1979, 415, 629, 3613, 27409, 46909, 3281, 3883}},
+{19722, 18, 105992, {1, 3, 3, 13, 25, 17, 71, 247, 297, 451, 153, 1949, 2727, 6427, 19815, 54013, 129363, 248237}},
+{19723, 18, 106005, {1, 1, 7, 7, 29, 9, 57, 171, 159, 287, 693, 1365, 4665, 5255, 15013, 21225, 125409, 5893}},
+{19724, 18, 106057, {1, 3, 3, 1, 9, 43, 13, 139, 359, 267, 115, 2025, 693, 4789, 10353, 60459, 30835, 56575}},
+{19725, 18, 106081, {1, 1, 1, 7, 23, 35, 35, 77, 245, 705, 75, 2841, 1683, 6109, 19661, 49021, 25019, 7297}},
+{19726, 18, 106093, {1, 3, 1, 5, 1, 19, 49, 53, 19, 435, 1471, 409, 7051, 7057, 3621, 42925, 59551, 70941}},
+{19727, 18, 106117, {1, 3, 7, 5, 21, 27, 39, 221, 389, 255, 537, 597, 7729, 10473, 6657, 13261, 11303, 112409}},
+{19728, 18, 106127, {1, 3, 7, 13, 29, 29, 81, 107, 329, 25, 537, 561, 2247, 10371, 30031, 20537, 28437, 113319}},
+{19729, 18, 106135, {1, 1, 5, 9, 9, 7, 89, 155, 337, 829, 755, 3259, 3563, 11849, 31179, 43297, 79601, 187545}},
+{19730, 18, 106141, {1, 3, 3, 5, 11, 63, 101, 159, 357, 627, 587, 3233, 405, 4083, 5953, 44541, 110723, 240573}},
+{19731, 18, 106189, {1, 1, 3, 15, 5, 39, 87, 231, 455, 195, 1603, 315, 3869, 6375, 745, 28349, 56469, 119033}},
+{19732, 18, 106190, {1, 1, 7, 1, 11, 7, 79, 47, 391, 585, 1299, 3237, 7345, 15959, 4293, 43285, 111737, 215923}},
+{19733, 18, 106197, {1, 1, 3, 15, 21, 53, 113, 73, 265, 589, 299, 289, 3983, 1653, 17407, 15287, 53199, 44221}},
+{19734, 18, 106214, {1, 3, 1, 3, 1, 13, 31, 41, 509, 523, 401, 2647, 2731, 5699, 15649, 51737, 81249, 230865}},
+{19735, 18, 106237, {1, 3, 5, 3, 15, 53, 91, 209, 249, 243, 1119, 2531, 319, 9259, 26555, 59579, 28767, 235073}},
+{19736, 18, 106245, {1, 1, 1, 13, 29, 25, 57, 3, 413, 945, 841, 1151, 7167, 2545, 7283, 3947, 109375, 148677}},
+{19737, 18, 106257, {1, 3, 3, 7, 29, 27, 81, 141, 21, 771, 577, 897, 73, 13081, 30035, 49213, 90627, 7483}},
+{19738, 18, 106300, {1, 3, 1, 13, 23, 11, 19, 159, 183, 789, 683, 2071, 7107, 3025, 27333, 9571, 69621, 48529}},
+{19739, 18, 106335, {1, 3, 1, 9, 5, 43, 7, 123, 341, 75, 1709, 135, 7929, 14563, 6849, 32783, 91971, 223789}},
+{19740, 18, 106351, {1, 1, 7, 3, 19, 13, 45, 229, 7, 559, 1895, 2649, 7593, 1063, 17715, 45019, 29743, 37819}},
+{19741, 18, 106370, {1, 1, 5, 3, 11, 25, 11, 169, 249, 415, 249, 209, 2223, 5947, 23381, 12109, 37697, 131729}},
+{19742, 18, 106375, {1, 1, 1, 7, 19, 47, 125, 117, 235, 825, 801, 921, 2363, 1261, 20529, 65445, 55315, 173561}},
+{19743, 18, 106376, {1, 1, 1, 1, 5, 39, 31, 11, 239, 333, 727, 3991, 1453, 2201, 18129, 3513, 112057, 109673}},
+{19744, 18, 106384, {1, 1, 7, 5, 21, 59, 37, 255, 261, 1, 1401, 1101, 1233, 3813, 22809, 39389, 66263, 191623}},
+{19745, 18, 106403, {1, 3, 1, 7, 5, 51, 73, 85, 319, 671, 1149, 1631, 6021, 10711, 3813, 36485, 106147, 202021}},
+{19746, 18, 106405, {1, 3, 3, 13, 7, 63, 59, 253, 337, 453, 61, 209, 2809, 10429, 28069, 55971, 57985, 244779}},
+{19747, 18, 106406, {1, 1, 1, 9, 27, 59, 45, 101, 427, 713, 1667, 2965, 6161, 1235, 8793, 2387, 66031, 85151}},
+{19748, 18, 106429, {1, 1, 3, 1, 5, 25, 101, 7, 449, 149, 823, 725, 6803, 11949, 13009, 14785, 45633, 241957}},
+{19749, 18, 106447, {1, 3, 7, 15, 29, 45, 103, 151, 159, 23, 1353, 3541, 5909, 4173, 31391, 16179, 38289, 206603}},
+{19750, 18, 106466, {1, 1, 7, 7, 23, 3, 97, 29, 141, 383, 379, 3189, 4399, 4545, 30797, 55827, 126223, 97049}},
+{19751, 18, 106495, {1, 3, 3, 7, 25, 35, 61, 15, 349, 929, 65, 3697, 7637, 12239, 29051, 36001, 114513, 151069}},
+{19752, 18, 106532, {1, 3, 3, 11, 19, 1, 23, 245, 9, 689, 1251, 1043, 2393, 15817, 31561, 21059, 3435, 228091}},
+{19753, 18, 106542, {1, 3, 7, 3, 23, 17, 121, 147, 427, 47, 905, 3877, 2301, 15709, 13599, 48895, 108955, 53219}},
+{19754, 18, 106547, {1, 3, 7, 3, 25, 31, 53, 143, 1, 841, 1691, 749, 6713, 5373, 23487, 25749, 13911, 240923}},
+{19755, 18, 106564, {1, 3, 5, 3, 7, 39, 101, 83, 159, 187, 583, 721, 7745, 1119, 61, 27319, 35157, 241729}},
+{19756, 18, 106576, {1, 1, 5, 11, 27, 21, 79, 199, 179, 463, 987, 3909, 1741, 503, 12339, 15323, 4063, 180337}},
+{19757, 18, 106586, {1, 3, 7, 11, 23, 43, 7, 115, 489, 215, 209, 3213, 4057, 13221, 27061, 52037, 34921, 36385}},
+{19758, 18, 106592, {1, 1, 7, 1, 15, 13, 113, 55, 207, 839, 1939, 4095, 5629, 7647, 12753, 59739, 60779, 196589}},
+{19759, 18, 106597, {1, 1, 1, 5, 5, 13, 113, 243, 297, 513, 1615, 1513, 1247, 4025, 20901, 44775, 86987, 75437}},
+{19760, 18, 106610, {1, 1, 3, 7, 7, 35, 77, 115, 223, 929, 1683, 949, 2191, 15533, 29471, 24103, 102475, 173027}},
+{19761, 18, 106612, {1, 3, 1, 11, 23, 37, 7, 179, 287, 267, 319, 3147, 1481, 12297, 28185, 51423, 7505, 236225}},
+{19762, 18, 106635, {1, 1, 3, 5, 27, 5, 71, 95, 289, 121, 939, 3543, 365, 4903, 10091, 3903, 111155, 83517}},
+{19763, 18, 106640, {1, 1, 7, 9, 29, 3, 87, 245, 313, 973, 1181, 3389, 3697, 13237, 13703, 31557, 17269, 17329}},
+{19764, 18, 106673, {1, 1, 5, 11, 5, 41, 117, 51, 239, 907, 809, 741, 5327, 3403, 11825, 46981, 93485, 38053}},
+{19765, 18, 106691, {1, 1, 7, 1, 25, 41, 5, 169, 11, 599, 1451, 2189, 7255, 8441, 11169, 58313, 4387, 69}},
+{19766, 18, 106724, {1, 3, 1, 13, 5, 21, 75, 229, 153, 355, 1511, 175, 4793, 12111, 25321, 39983, 84205, 195003}},
+{19767, 18, 106731, {1, 1, 7, 1, 17, 61, 67, 181, 69, 149, 921, 1107, 6319, 431, 29481, 12507, 13109, 29527}},
+{19768, 18, 106741, {1, 1, 5, 5, 27, 47, 69, 119, 469, 193, 513, 1573, 7421, 2723, 20997, 59585, 49645, 261259}},
+{19769, 18, 106748, {1, 1, 3, 9, 27, 41, 41, 3, 181, 803, 1281, 2937, 6745, 5629, 8403, 18987, 98411, 128321}},
+{19770, 18, 106765, {1, 3, 3, 9, 5, 29, 55, 223, 309, 841, 1049, 1163, 3497, 8935, 8529, 51367, 90693, 77463}},
+{19771, 18, 106789, {1, 3, 5, 3, 3, 59, 23, 31, 309, 907, 107, 3471, 4365, 14463, 24093, 35435, 24587, 151163}},
+{19772, 18, 106822, {1, 3, 3, 1, 11, 37, 99, 95, 485, 601, 1797, 891, 5645, 8927, 22085, 5185, 18495, 260455}},
+{19773, 18, 106856, {1, 3, 7, 15, 31, 61, 5, 177, 159, 287, 311, 1377, 1419, 4387, 25297, 22505, 100937, 223785}},
+{19774, 18, 106861, {1, 3, 3, 3, 27, 31, 45, 171, 95, 507, 1475, 4013, 2781, 133, 6857, 3367, 103455, 69559}},
+{19775, 18, 106870, {1, 3, 3, 7, 9, 51, 47, 247, 213, 665, 1929, 2799, 5513, 9183, 20197, 14831, 75277, 187565}},
+{19776, 18, 106883, {1, 3, 1, 9, 13, 11, 15, 253, 145, 31, 847, 1579, 5513, 9, 3327, 46049, 16709, 56353}},
+{19777, 18, 106895, {1, 3, 3, 3, 9, 17, 59, 131, 3, 621, 1209, 3415, 2999, 127, 629, 7925, 6109, 59743}},
+{19778, 18, 106928, {1, 1, 5, 15, 29, 35, 87, 197, 495, 671, 51, 293, 3943, 7969, 4739, 10161, 119943, 97217}},
+{19779, 18, 106938, {1, 1, 1, 9, 25, 57, 61, 197, 139, 899, 783, 3835, 3407, 16301, 19033, 33359, 56309, 16237}},
+{19780, 18, 106979, {1, 1, 5, 11, 25, 47, 95, 121, 197, 511, 227, 2281, 5805, 10581, 14885, 19685, 28075, 25431}},
+{19781, 18, 106985, {1, 1, 3, 9, 1, 43, 59, 105, 319, 45, 1567, 905, 7641, 2199, 3979, 13717, 22829, 44777}},
+{19782, 18, 107005, {1, 3, 7, 1, 19, 49, 105, 53, 227, 293, 989, 697, 2553, 4561, 14851, 8999, 74815, 207475}},
+{19783, 18, 107012, {1, 1, 5, 11, 23, 3, 85, 29, 419, 847, 1385, 3857, 641, 14951, 25629, 18019, 2497, 24723}},
+{19784, 18, 107019, {1, 3, 5, 15, 5, 11, 51, 225, 179, 695, 787, 663, 7051, 3595, 4987, 53315, 88693, 7915}},
+{19785, 18, 107045, {1, 3, 1, 13, 17, 51, 51, 247, 431, 555, 603, 3301, 443, 629, 26509, 32047, 54433, 208297}},
+{19786, 18, 107052, {1, 3, 7, 7, 13, 41, 95, 105, 135, 443, 377, 1259, 3301, 6945, 11677, 33869, 107799, 186567}},
+{19787, 18, 107082, {1, 1, 5, 7, 31, 17, 85, 129, 409, 781, 983, 25, 6877, 83, 12625, 31919, 41989, 55195}},
+{19788, 18, 107089, {1, 1, 3, 3, 7, 45, 37, 45, 237, 967, 1371, 657, 7983, 3121, 32707, 25757, 49987, 92683}},
+{19789, 18, 107118, {1, 3, 1, 1, 19, 57, 63, 25, 355, 893, 2017, 1671, 7343, 4451, 28243, 22157, 103901, 178017}},
+{19790, 18, 107163, {1, 3, 7, 13, 17, 59, 81, 99, 329, 117, 1395, 2565, 5725, 2371, 343, 4713, 35077, 49793}},
+{19791, 18, 107202, {1, 3, 7, 15, 31, 19, 87, 243, 411, 339, 1063, 117, 1827, 1583, 12571, 23153, 3363, 81695}},
+{19792, 18, 107238, {1, 3, 7, 1, 3, 49, 95, 133, 295, 433, 1885, 843, 6679, 13673, 32277, 59085, 46957, 217037}},
+{19793, 18, 107242, {1, 1, 3, 9, 23, 53, 45, 183, 79, 55, 1267, 283, 3249, 4101, 8107, 54473, 126141, 127235}},
+{19794, 18, 107244, {1, 3, 5, 7, 19, 57, 113, 205, 37, 817, 929, 3643, 2231, 15725, 1733, 7877, 116741, 254529}},
+{19795, 18, 107264, {1, 3, 1, 9, 9, 7, 75, 45, 83, 203, 1401, 445, 1043, 239, 30865, 32189, 91081, 180681}},
+{19796, 18, 107273, {1, 1, 7, 7, 1, 3, 61, 255, 483, 599, 897, 1601, 5189, 13279, 4981, 37235, 117505, 66625}},
+{19797, 18, 107291, {1, 1, 3, 13, 29, 43, 65, 73, 213, 307, 959, 2735, 5155, 16063, 15745, 6225, 50159, 182445}},
+{19798, 18, 107293, {1, 1, 3, 9, 31, 61, 73, 185, 457, 687, 1887, 4041, 3455, 4739, 16399, 40929, 32631, 179031}},
+{19799, 18, 107312, {1, 3, 3, 15, 5, 45, 1, 241, 187, 23, 63, 2497, 7759, 9175, 11003, 40579, 45769, 107133}},
+{19800, 18, 107318, {1, 3, 3, 7, 5, 63, 7, 67, 31, 917, 1825, 2037, 2527, 9767, 2665, 18573, 14289, 21583}},
+{19801, 18, 107335, {1, 1, 5, 15, 15, 25, 51, 127, 261, 925, 1651, 769, 7779, 7327, 7239, 20437, 9947, 144697}},
+{19802, 18, 107349, {1, 1, 5, 1, 5, 13, 99, 7, 269, 135, 345, 1851, 7963, 457, 24573, 32529, 127359, 157755}},
+{19803, 18, 107350, {1, 3, 5, 15, 21, 17, 31, 115, 321, 351, 117, 1301, 2455, 3363, 14213, 62903, 75273, 261119}},
+{19804, 18, 107363, {1, 3, 7, 1, 1, 9, 53, 209, 319, 489, 827, 1365, 4709, 7419, 28213, 56095, 9611, 234877}},
+{19805, 18, 107390, {1, 1, 5, 5, 1, 7, 49, 15, 377, 309, 1701, 1775, 5571, 12437, 27521, 54753, 68977, 138549}},
+{19806, 18, 107405, {1, 1, 3, 11, 9, 29, 67, 21, 411, 647, 983, 1075, 2387, 13355, 1781, 56129, 87235, 260133}},
+{19807, 18, 107408, {1, 3, 1, 11, 5, 57, 71, 159, 345, 853, 745, 3733, 1607, 7265, 20097, 18911, 101141, 70495}},
+{19808, 18, 107427, {1, 1, 3, 9, 1, 43, 127, 127, 471, 465, 1777, 1879, 4655, 12925, 24935, 58445, 78303, 200463}},
+{19809, 18, 107433, {1, 1, 1, 15, 5, 33, 63, 17, 401, 831, 1559, 3547, 7869, 13901, 18185, 9399, 65859, 185315}},
+{19810, 18, 107444, {1, 3, 7, 1, 25, 21, 17, 175, 401, 833, 847, 3593, 1283, 14745, 11827, 1987, 89299, 187369}},
+{19811, 18, 107514, {1, 1, 7, 13, 29, 31, 45, 219, 177, 369, 1313, 3015, 5859, 1829, 8793, 49109, 97581, 233179}},
+{19812, 18, 107522, {1, 3, 3, 15, 17, 31, 61, 215, 231, 495, 1307, 3067, 3187, 8813, 22505, 14055, 30773, 177955}},
+{19813, 18, 107545, {1, 3, 7, 15, 9, 61, 57, 105, 89, 267, 233, 905, 3727, 1841, 31875, 32499, 27003, 208491}},
+{19814, 18, 107582, {1, 3, 1, 11, 31, 9, 63, 55, 213, 209, 1625, 2635, 4335, 15201, 6127, 11097, 37991, 62813}},
+{19815, 18, 107590, {1, 1, 1, 5, 13, 49, 127, 249, 339, 525, 1943, 2935, 3255, 5199, 6869, 6325, 731, 51085}},
+{19816, 18, 107593, {1, 1, 5, 7, 7, 29, 59, 187, 463, 409, 1321, 377, 7361, 8303, 20385, 39649, 81379, 235555}},
+{19817, 18, 107599, {1, 1, 5, 13, 15, 45, 99, 57, 217, 535, 1747, 4081, 4781, 1005, 25197, 23853, 90587, 189579}},
+{19818, 18, 107604, {1, 1, 7, 7, 23, 31, 1, 151, 339, 447, 523, 2609, 5917, 6965, 25815, 62797, 104083, 245917}},
+{19819, 18, 107608, {1, 3, 5, 3, 7, 37, 79, 253, 423, 511, 1477, 3121, 5557, 1413, 31075, 22249, 117639, 243543}},
+{19820, 18, 107627, {1, 1, 3, 7, 5, 31, 93, 117, 135, 235, 745, 3287, 4451, 2487, 15179, 62229, 18247, 150277}},
+{19821, 18, 107638, {1, 1, 7, 15, 31, 57, 125, 219, 433, 629, 1809, 2499, 6083, 7631, 31495, 63183, 28533, 120579}},
+{19822, 18, 107666, {1, 1, 1, 13, 31, 47, 77, 73, 343, 867, 1055, 1121, 3035, 15693, 6971, 50231, 16527, 190795}},
+{19823, 18, 107678, {1, 3, 7, 7, 11, 1, 5, 215, 87, 885, 1429, 1277, 3831, 9341, 22011, 34585, 56167, 65301}},
+{19824, 18, 107701, {1, 3, 1, 15, 13, 53, 91, 59, 277, 819, 453, 3191, 757, 4729, 20605, 4283, 110745, 233655}},
+{19825, 18, 107720, {1, 3, 3, 5, 17, 47, 69, 117, 113, 775, 935, 1879, 2239, 5877, 18337, 50895, 44891, 2759}},
+{19826, 18, 107723, {1, 3, 5, 1, 27, 31, 77, 65, 355, 405, 825, 2419, 3337, 10179, 27665, 35459, 13721, 154227}},
+{19827, 18, 107725, {1, 3, 3, 7, 23, 61, 9, 241, 239, 85, 485, 2659, 5371, 16175, 28691, 49109, 124433, 167033}},
+{19828, 18, 107731, {1, 3, 3, 3, 11, 57, 37, 155, 443, 249, 1913, 1347, 6569, 5357, 4231, 58273, 50707, 57097}},
+{19829, 18, 107737, {1, 1, 3, 3, 1, 7, 87, 115, 259, 807, 45, 2997, 63, 16313, 12507, 39925, 17699, 24411}},
+{19830, 18, 107767, {1, 3, 3, 1, 19, 59, 97, 209, 247, 395, 21, 1803, 2547, 11607, 15703, 58099, 111907, 196101}},
+{19831, 18, 107779, {1, 1, 7, 13, 27, 61, 73, 183, 493, 953, 445, 567, 7373, 15275, 30081, 539, 89365, 3455}},
+{19832, 18, 107788, {1, 3, 1, 3, 25, 35, 3, 105, 243, 781, 1937, 2781, 7849, 2159, 2221, 58005, 89313, 182183}},
+{19833, 18, 107799, {1, 1, 7, 15, 21, 7, 67, 163, 179, 453, 581, 2245, 3915, 8985, 16809, 35113, 93605, 79009}},
+{19834, 18, 107819, {1, 1, 7, 5, 29, 57, 13, 75, 387, 511, 331, 1119, 307, 6145, 3841, 49987, 67335, 120419}},
+{19835, 18, 107833, {1, 3, 1, 5, 13, 21, 119, 207, 453, 943, 137, 2245, 7771, 5737, 9541, 29209, 106867, 110513}},
+{19836, 18, 107881, {1, 3, 7, 13, 7, 3, 99, 129, 245, 687, 883, 1321, 1131, 6661, 7437, 1345, 128247, 167877}},
+{19837, 18, 107901, {1, 1, 3, 11, 7, 57, 59, 3, 217, 549, 85, 2607, 215, 2249, 3963, 42931, 33747, 226265}},
+{19838, 18, 107911, {1, 1, 5, 5, 29, 23, 115, 215, 103, 427, 1689, 831, 3293, 14055, 3735, 49521, 17703, 182887}},
+{19839, 18, 107930, {1, 1, 1, 15, 5, 43, 27, 181, 217, 955, 225, 2731, 7347, 14123, 26169, 4371, 26907, 15017}},
+{19840, 18, 107936, {1, 1, 7, 7, 31, 55, 63, 223, 61, 63, 431, 2779, 3169, 14323, 2945, 63913, 85407, 76511}},
+{19841, 18, 107980, {1, 1, 3, 11, 5, 27, 113, 75, 313, 697, 13, 1853, 7467, 5701, 16749, 17939, 13475, 39807}},
+{19842, 18, 108004, {1, 1, 7, 5, 13, 53, 55, 115, 125, 341, 321, 3291, 2675, 13659, 16819, 45397, 42917, 104361}},
+{19843, 18, 108008, {1, 3, 3, 15, 27, 47, 19, 213, 441, 605, 593, 2287, 4847, 10505, 22185, 36157, 10881, 87799}},
+{19844, 18, 108016, {1, 1, 1, 11, 15, 39, 109, 3, 469, 371, 1743, 2789, 199, 8703, 7407, 3353, 103417, 73319}},
+{19845, 18, 108066, {1, 3, 7, 5, 25, 61, 77, 111, 263, 399, 1579, 3447, 6205, 5945, 28099, 39183, 77003, 115001}},
+{19846, 18, 108071, {1, 1, 1, 3, 1, 7, 57, 193, 379, 923, 151, 2227, 7285, 2371, 24567, 34037, 80655, 125499}},
+{19847, 18, 108107, {1, 3, 5, 7, 13, 15, 5, 193, 55, 319, 1851, 2439, 8071, 5329, 3155, 64669, 18547, 238997}},
+{19848, 18, 108110, {1, 3, 3, 11, 7, 23, 1, 203, 333, 951, 153, 1249, 5093, 407, 361, 14175, 45149, 186291}},
+{19849, 18, 108124, {1, 3, 1, 11, 13, 19, 89, 229, 139, 981, 455, 907, 5109, 8513, 23823, 54933, 69985, 227679}},
+{19850, 18, 108145, {1, 3, 5, 13, 23, 47, 65, 123, 115, 759, 375, 1283, 729, 11045, 22015, 18287, 112603, 75911}},
+{19851, 18, 108148, {1, 1, 3, 1, 5, 43, 91, 123, 219, 409, 517, 3999, 1409, 5949, 15727, 62705, 73573, 198447}},
+{19852, 18, 108158, {1, 3, 3, 3, 5, 23, 95, 51, 275, 455, 1831, 2427, 3779, 10209, 30839, 23393, 25681, 8715}},
+{19853, 18, 108164, {1, 3, 5, 3, 9, 5, 61, 97, 497, 397, 695, 517, 3313, 4911, 1961, 45805, 99135, 216657}},
+{19854, 18, 108197, {1, 1, 1, 7, 13, 41, 19, 31, 103, 1005, 73, 1855, 405, 12395, 19979, 17663, 105183, 28493}},
+{19855, 18, 108198, {1, 3, 1, 11, 27, 27, 69, 149, 1, 225, 1809, 1367, 3663, 6545, 8475, 40837, 64459, 66705}},
+{19856, 18, 108219, {1, 3, 3, 1, 29, 21, 113, 149, 215, 443, 1069, 3437, 1793, 13573, 28285, 33707, 29127, 40715}},
+{19857, 18, 108222, {1, 3, 3, 5, 21, 9, 53, 181, 455, 283, 245, 3999, 875, 9799, 10963, 31603, 34907, 64977}},
+{19858, 18, 108224, {1, 3, 1, 11, 31, 51, 29, 103, 61, 529, 777, 1097, 445, 9169, 6305, 4513, 60189, 164103}},
+{19859, 18, 108227, {1, 1, 1, 3, 21, 5, 87, 11, 461, 637, 1283, 1471, 1429, 2401, 12163, 29401, 30089, 41745}},
+{19860, 18, 108290, {1, 1, 3, 3, 17, 43, 13, 153, 73, 419, 747, 279, 7195, 4383, 26345, 28365, 97753, 208989}},
+{19861, 18, 108302, {1, 3, 7, 1, 17, 55, 103, 151, 327, 575, 1923, 1533, 4699, 2171, 15447, 64047, 59007, 54523}},
+{19862, 18, 108329, {1, 3, 7, 7, 3, 51, 79, 39, 403, 599, 161, 2465, 4911, 10327, 23599, 3267, 44177, 184231}},
+{19863, 18, 108335, {1, 3, 3, 15, 5, 19, 57, 83, 507, 927, 665, 3471, 5037, 2051, 22923, 36813, 97393, 102715}},
+{19864, 18, 108338, {1, 3, 3, 13, 11, 19, 91, 179, 113, 295, 855, 2071, 3265, 4089, 8627, 7461, 23855, 53675}},
+{19865, 18, 108362, {1, 1, 3, 5, 21, 41, 11, 227, 87, 417, 209, 2013, 4849, 5291, 22073, 40235, 71283, 140785}},
+{19866, 18, 108398, {1, 3, 3, 5, 29, 57, 95, 65, 177, 177, 1973, 563, 5249, 337, 7611, 45099, 15443, 46583}},
+{19867, 18, 108405, {1, 1, 7, 3, 3, 5, 107, 75, 31, 293, 821, 1837, 2363, 13621, 8793, 29841, 127201, 131707}},
+{19868, 18, 108409, {1, 1, 1, 5, 1, 45, 69, 61, 157, 999, 183, 3431, 3487, 9461, 17545, 26973, 115527, 58419}},
+{19869, 18, 108431, {1, 1, 7, 7, 27, 5, 125, 153, 191, 745, 125, 2807, 5043, 10657, 24487, 19517, 31735, 42421}},
+{19870, 18, 108449, {1, 1, 7, 9, 25, 37, 73, 255, 141, 229, 1723, 1331, 6089, 13109, 30683, 2335, 111517, 105411}},
+{19871, 18, 108474, {1, 1, 5, 7, 3, 61, 79, 203, 423, 669, 1757, 1725, 4239, 7013, 28591, 61853, 81103, 39813}},
+{19872, 18, 108488, {1, 1, 3, 7, 21, 27, 23, 119, 441, 113, 1019, 285, 53, 8643, 31689, 2629, 126573, 60835}},
+{19873, 18, 108530, {1, 1, 5, 11, 29, 49, 23, 55, 441, 809, 1177, 1371, 5945, 6461, 11537, 12287, 85637, 232065}},
+{19874, 18, 108545, {1, 3, 1, 15, 5, 13, 19, 209, 105, 897, 565, 3209, 487, 9837, 22169, 26317, 39907, 185193}},
+{19875, 18, 108551, {1, 1, 1, 5, 23, 45, 49, 55, 501, 213, 1217, 3159, 733, 5889, 5475, 4953, 37317, 100369}},
+{19876, 18, 108558, {1, 1, 5, 1, 19, 5, 57, 137, 361, 605, 1077, 2015, 5511, 4667, 18457, 45979, 120253, 203397}},
+{19877, 18, 108585, {1, 1, 7, 9, 19, 19, 11, 187, 5, 647, 275, 1265, 7587, 16183, 369, 31885, 58347, 36829}},
+{19878, 18, 108613, {1, 3, 5, 3, 31, 31, 7, 105, 359, 839, 641, 3215, 4807, 13397, 885, 52867, 57125, 180607}},
+{19879, 18, 108638, {1, 1, 7, 9, 19, 45, 43, 211, 429, 757, 1637, 1569, 935, 8899, 24823, 18599, 111373, 190979}},
+{19880, 18, 108642, {1, 1, 7, 7, 13, 47, 3, 241, 467, 209, 323, 3467, 4397, 15395, 15373, 14499, 92443, 65931}},
+{19881, 18, 108653, {1, 3, 3, 5, 5, 9, 67, 115, 45, 279, 1753, 1575, 8127, 9651, 5169, 25643, 29671, 214383}},
+{19882, 18, 108671, {1, 3, 7, 7, 29, 7, 37, 205, 495, 445, 1771, 1439, 3577, 10423, 10865, 26851, 15251, 63373}},
+{19883, 18, 108675, {1, 3, 1, 9, 29, 13, 45, 61, 153, 193, 1407, 1075, 4023, 2367, 1147, 51277, 52975, 123061}},
+{19884, 18, 108684, {1, 3, 3, 3, 31, 25, 113, 173, 345, 565, 145, 3437, 7051, 12557, 27919, 41733, 76717, 192645}},
+{19885, 18, 108687, {1, 3, 3, 7, 3, 55, 35, 219, 55, 467, 635, 3833, 3753, 1099, 15301, 53121, 120807, 70481}},
+{19886, 18, 108696, {1, 3, 7, 7, 13, 1, 121, 191, 71, 193, 1891, 2303, 1401, 9143, 31297, 38979, 43093, 138941}},
+{19887, 18, 108786, {1, 3, 7, 5, 17, 51, 83, 201, 231, 423, 511, 1301, 6075, 475, 2603, 49327, 78565, 220827}},
+{19888, 18, 108792, {1, 3, 1, 7, 5, 61, 23, 11, 9, 711, 251, 1383, 613, 6213, 8921, 27267, 66009, 28575}},
+{19889, 18, 108795, {1, 3, 1, 3, 13, 13, 61, 211, 353, 883, 343, 1089, 2041, 7781, 25285, 9053, 76801, 153009}},
+{19890, 18, 108818, {1, 3, 7, 5, 17, 61, 67, 69, 361, 937, 949, 1483, 2825, 3753, 16533, 17277, 16539, 140521}},
+{19891, 18, 108830, {1, 3, 5, 9, 7, 19, 31, 239, 357, 561, 1583, 3059, 2023, 2213, 11283, 18603, 83487, 162415}},
+{19892, 18, 108836, {1, 1, 3, 15, 15, 59, 9, 43, 353, 203, 765, 1907, 2733, 3747, 30617, 32671, 119005, 72131}},
+{19893, 18, 108839, {1, 3, 1, 7, 17, 61, 55, 113, 439, 75, 703, 2741, 1059, 4561, 15923, 17153, 32563, 79681}},
+{19894, 18, 108851, {1, 1, 1, 15, 11, 57, 91, 245, 187, 185, 1859, 1209, 3247, 10863, 22421, 47287, 26831, 200935}},
+{19895, 18, 108875, {1, 1, 3, 13, 11, 39, 61, 211, 51, 197, 861, 2965, 4691, 9955, 2289, 28795, 61537, 235359}},
+{19896, 18, 108883, {1, 1, 7, 1, 31, 37, 121, 107, 79, 521, 371, 983, 6189, 4515, 25691, 26933, 123189, 70033}},
+{19897, 18, 108895, {1, 3, 3, 15, 19, 33, 31, 237, 35, 877, 1013, 3445, 573, 1145, 27781, 26327, 117451, 142339}},
+{19898, 18, 108908, {1, 3, 3, 15, 15, 9, 17, 185, 151, 499, 493, 1331, 1587, 12657, 22577, 7957, 126253, 57971}},
+{19899, 18, 108953, {1, 3, 7, 15, 3, 29, 43, 105, 423, 601, 793, 1011, 6657, 7287, 18561, 46993, 72945, 233051}},
+{19900, 18, 108956, {1, 1, 7, 5, 15, 17, 125, 141, 75, 877, 281, 2011, 4217, 9785, 7587, 42863, 35585, 212795}},
+{19901, 18, 108963, {1, 1, 3, 3, 3, 37, 67, 129, 433, 233, 115, 687, 6253, 12805, 10935, 49963, 91675, 241951}},
+{19902, 18, 108989, {1, 3, 1, 5, 3, 41, 3, 233, 317, 959, 1407, 1251, 743, 4165, 15561, 41165, 22393, 111633}},
+{19903, 18, 109001, {1, 3, 3, 15, 17, 15, 53, 245, 109, 413, 1149, 35, 2931, 11635, 27091, 63659, 33973, 16867}},
+{19904, 18, 109009, {1, 3, 7, 13, 3, 43, 83, 201, 367, 275, 235, 1795, 4041, 13539, 22345, 31451, 83985, 3527}},
+{19905, 18, 109052, {1, 3, 3, 9, 31, 47, 63, 117, 195, 497, 453, 1183, 3857, 14075, 28057, 13205, 54331, 54641}},
+{19906, 18, 109083, {1, 1, 7, 11, 11, 39, 37, 183, 213, 537, 1371, 901, 5255, 11791, 18993, 58785, 114113, 229815}},
+{19907, 18, 109090, {1, 3, 5, 5, 13, 45, 77, 165, 329, 439, 2011, 1845, 4577, 12457, 16959, 45943, 37715, 169775}},
+{19908, 18, 109104, {1, 1, 3, 11, 5, 7, 21, 245, 365, 371, 1291, 2569, 1791, 6003, 18619, 18661, 98551, 89645}},
+{19909, 18, 109121, {1, 3, 1, 7, 3, 51, 49, 245, 151, 919, 489, 3967, 3157, 7159, 17207, 19749, 94455, 112403}},
+{19910, 18, 109128, {1, 3, 7, 5, 9, 15, 17, 201, 273, 669, 1571, 3915, 1859, 2569, 28855, 27225, 116711, 148377}},
+{19911, 18, 109141, {1, 3, 7, 3, 19, 45, 115, 71, 201, 85, 1349, 3897, 4941, 10839, 14781, 36487, 107037, 109185}},
+{19912, 18, 109146, {1, 3, 5, 13, 11, 11, 35, 19, 213, 41, 45, 4075, 3163, 12937, 17487, 28911, 21289, 198489}},
+{19913, 18, 109155, {1, 1, 1, 11, 7, 35, 67, 23, 451, 235, 717, 181, 6697, 9359, 24561, 36187, 125179, 35119}},
+{19914, 18, 109162, {1, 1, 7, 15, 7, 47, 55, 125, 465, 251, 211, 3137, 4101, 1341, 2287, 22149, 45089, 94173}},
+{19915, 18, 109209, {1, 3, 1, 15, 19, 7, 15, 207, 7, 759, 869, 2337, 6805, 8287, 13447, 9963, 7177, 173505}},
+{19916, 18, 109216, {1, 3, 7, 13, 15, 3, 65, 143, 291, 511, 939, 669, 4095, 1931, 26015, 18253, 102461, 93837}},
+{19917, 18, 109243, {1, 3, 1, 5, 23, 3, 19, 121, 489, 583, 1425, 627, 4229, 5343, 3759, 17845, 105369, 132239}},
+{19918, 18, 109265, {1, 3, 3, 9, 29, 9, 17, 153, 111, 879, 1225, 979, 2687, 10477, 10105, 18091, 37825, 28077}},
+{19919, 18, 109282, {1, 1, 7, 9, 3, 51, 75, 101, 197, 551, 89, 1441, 607, 14025, 30411, 26887, 3435, 32977}},
+{19920, 18, 109306, {1, 1, 7, 3, 25, 29, 95, 123, 197, 767, 1513, 721, 4149, 10873, 32247, 4469, 42297, 49651}},
+{19921, 18, 109316, {1, 3, 5, 15, 11, 3, 77, 161, 309, 923, 513, 161, 6447, 9811, 9209, 21413, 8611, 237557}},
+{19922, 18, 109334, {1, 3, 1, 3, 23, 11, 61, 107, 317, 771, 1469, 3367, 6607, 11495, 12271, 59989, 52483, 194761}},
+{19923, 18, 109359, {1, 3, 7, 7, 23, 1, 37, 47, 185, 863, 1153, 3517, 6165, 3921, 19311, 37339, 112477, 204915}},
+{19924, 18, 109373, {1, 3, 7, 7, 15, 61, 9, 113, 175, 305, 1759, 2933, 2139, 3591, 15303, 54479, 126511, 255205}},
+{19925, 18, 109386, {1, 1, 1, 3, 29, 43, 19, 183, 121, 577, 1329, 1737, 4373, 5577, 24023, 40103, 22333, 123423}},
+{19926, 18, 109394, {1, 3, 5, 1, 29, 1, 5, 177, 271, 431, 139, 705, 4319, 9301, 15887, 13253, 13275, 233317}},
+{19927, 18, 109403, {1, 1, 3, 7, 21, 3, 13, 51, 459, 359, 1721, 193, 4887, 7805, 20615, 28813, 82427, 57853}},
+{19928, 18, 109409, {1, 3, 3, 13, 3, 29, 43, 95, 339, 993, 979, 2323, 7505, 10203, 9475, 16513, 21651, 104871}},
+{19929, 18, 109412, {1, 1, 3, 15, 11, 5, 97, 127, 397, 25, 507, 1839, 2313, 13399, 899, 25713, 94363, 178287}},
+{19930, 18, 109427, {1, 1, 5, 5, 9, 53, 95, 171, 107, 129, 1041, 3583, 5479, 943, 21435, 36481, 85519, 169651}},
+{19931, 18, 109439, {1, 1, 1, 1, 1, 11, 17, 249, 277, 805, 1827, 2705, 3015, 9033, 25019, 38593, 59235, 21145}},
+{19932, 18, 109464, {1, 1, 7, 3, 7, 59, 107, 213, 109, 213, 555, 3463, 953, 3173, 18947, 2863, 27889, 32493}},
+{19933, 18, 109467, {1, 3, 5, 15, 21, 11, 99, 131, 287, 513, 1393, 3327, 7347, 4343, 8805, 29571, 97151, 97313}},
+{19934, 18, 109476, {1, 3, 5, 3, 17, 53, 23, 21, 227, 291, 111, 1951, 6593, 16325, 31725, 31997, 116907, 181027}},
+{19935, 18, 109488, {1, 1, 5, 3, 15, 57, 93, 153, 345, 257, 169, 795, 3907, 5669, 25447, 28775, 1489, 216417}},
+{19936, 18, 109497, {1, 1, 1, 5, 19, 19, 113, 55, 431, 685, 1839, 711, 4909, 10211, 25765, 37, 72657, 79769}},
+{19937, 18, 109523, {1, 3, 5, 7, 19, 17, 93, 145, 99, 799, 1615, 1583, 7705, 1069, 30259, 37951, 78965, 16203}},
+{19938, 18, 109551, {1, 3, 7, 13, 23, 61, 119, 49, 413, 1021, 415, 465, 7395, 31, 16415, 1009, 9843, 86531}},
+{19939, 18, 109556, {1, 1, 3, 15, 17, 21, 83, 69, 411, 1, 269, 1391, 295, 13649, 21649, 62453, 11457, 215375}},
+{19940, 18, 109566, {1, 3, 3, 7, 25, 53, 95, 99, 447, 323, 27, 1595, 3771, 16099, 31523, 14405, 66999, 65733}},
+{19941, 18, 109598, {1, 1, 3, 11, 25, 29, 19, 95, 101, 661, 537, 641, 1455, 16151, 29087, 54009, 89395, 2223}},
+{19942, 18, 109628, {1, 1, 1, 11, 11, 33, 91, 227, 449, 661, 1621, 1743, 2859, 9797, 32397, 41767, 116325, 6839}},
+{19943, 18, 109643, {1, 3, 3, 7, 31, 41, 15, 139, 53, 789, 25, 67, 1131, 5987, 14091, 37259, 70313, 6633}},
+{19944, 18, 109663, {1, 3, 7, 13, 21, 29, 71, 245, 497, 493, 207, 3221, 3695, 3045, 1497, 29235, 65113, 82015}},
+{19945, 18, 109674, {1, 1, 7, 5, 29, 29, 87, 197, 123, 323, 773, 157, 2925, 9235, 31625, 58187, 121457, 25561}},
+{19946, 18, 109688, {1, 1, 1, 9, 3, 15, 99, 55, 133, 757, 1405, 997, 5201, 8971, 6095, 33309, 35587, 254545}},
+{19947, 18, 109691, {1, 3, 5, 9, 19, 57, 85, 45, 429, 823, 1369, 933, 1971, 13753, 11351, 45805, 16527, 129907}},
+{19948, 18, 109704, {1, 3, 3, 15, 23, 15, 35, 89, 477, 875, 1087, 2837, 1093, 617, 18687, 53269, 63447, 226393}},
+{19949, 18, 109715, {1, 1, 7, 9, 27, 37, 23, 107, 265, 485, 1975, 3159, 4065, 10089, 26975, 45067, 4241, 49051}},
+{19950, 18, 109717, {1, 3, 3, 1, 29, 53, 89, 129, 149, 717, 749, 1481, 7829, 15887, 23185, 30667, 11749, 188963}},
+{19951, 18, 109746, {1, 3, 5, 9, 13, 47, 119, 135, 407, 99, 1773, 2307, 7885, 4013, 25723, 53519, 37487, 205671}},
+{19952, 18, 109789, {1, 1, 5, 1, 11, 27, 121, 213, 147, 669, 799, 485, 4275, 15909, 30583, 45925, 90365, 226901}},
+{19953, 18, 109794, {1, 1, 3, 5, 1, 19, 81, 109, 217, 949, 1637, 3413, 5957, 7293, 17337, 63857, 103815, 80805}},
+{19954, 18, 109868, {1, 3, 7, 3, 9, 43, 119, 251, 345, 3, 203, 829, 3391, 2575, 6859, 50849, 22221, 227581}},
+{19955, 18, 109886, {1, 1, 7, 15, 13, 43, 7, 23, 101, 89, 1747, 1231, 1883, 13363, 10981, 59179, 59555, 242021}},
+{19956, 18, 109888, {1, 1, 5, 5, 23, 15, 93, 183, 231, 891, 1745, 2665, 1689, 8515, 11717, 35643, 113067, 233757}},
+{19957, 18, 109903, {1, 3, 7, 11, 29, 21, 13, 59, 103, 105, 483, 863, 2711, 7917, 29279, 53931, 7011, 60075}},
+{19958, 18, 109908, {1, 1, 3, 15, 5, 37, 101, 163, 31, 575, 2029, 1625, 4545, 12579, 15175, 32667, 59497, 63653}},
+{19959, 18, 109912, {1, 3, 5, 7, 23, 37, 61, 101, 273, 49, 1943, 3381, 491, 4079, 20341, 26463, 122261, 77965}},
+{19960, 18, 109927, {1, 1, 3, 15, 9, 51, 53, 89, 175, 487, 1583, 1797, 4353, 1339, 19613, 26913, 78955, 166523}},
+{19961, 18, 109936, {1, 3, 3, 9, 27, 57, 25, 207, 233, 675, 661, 2629, 6971, 8723, 31199, 47215, 36931, 28347}},
+{19962, 18, 109979, {1, 3, 1, 3, 31, 15, 123, 17, 211, 883, 1861, 2747, 8075, 5373, 23521, 46217, 86629, 171777}},
+{19963, 18, 110005, {1, 3, 5, 9, 11, 43, 45, 171, 465, 835, 603, 2121, 409, 1643, 20327, 63211, 129479, 223113}},
+{19964, 18, 110010, {1, 1, 5, 7, 13, 57, 83, 233, 307, 489, 941, 1723, 6149, 5557, 2053, 17377, 31597, 176051}},
+{19965, 18, 110017, {1, 1, 7, 3, 11, 11, 85, 163, 169, 989, 1289, 2749, 7681, 4679, 645, 36589, 85907, 194713}},
+{19966, 18, 110041, {1, 1, 1, 7, 3, 57, 39, 149, 463, 947, 481, 1163, 7171, 8539, 28991, 61235, 74487, 107051}},
+{19967, 18, 110042, {1, 1, 3, 7, 9, 57, 89, 101, 231, 163, 1355, 1393, 5823, 7565, 26285, 13523, 130329, 26099}},
+{19968, 18, 110047, {1, 1, 7, 15, 13, 59, 111, 35, 265, 927, 125, 1881, 5397, 757, 23845, 9677, 76077, 163361}},
+{19969, 18, 110048, {1, 1, 7, 9, 1, 63, 61, 157, 389, 143, 1445, 881, 3609, 9955, 11159, 59677, 45831, 138345}},
+{19970, 18, 110053, {1, 3, 5, 7, 5, 45, 65, 23, 257, 589, 905, 3651, 743, 117, 30307, 7415, 103331, 252889}},
+{19971, 18, 110054, {1, 1, 7, 13, 3, 57, 113, 91, 217, 967, 481, 989, 4795, 3549, 23717, 60793, 80281, 19977}},
+{19972, 18, 110057, {1, 3, 3, 1, 15, 37, 113, 245, 239, 575, 197, 2803, 7743, 13447, 3601, 56981, 76381, 13321}},
+{19973, 18, 110091, {1, 3, 1, 11, 27, 33, 99, 151, 43, 835, 1951, 1957, 2983, 6781, 9319, 2119, 40533, 118325}},
+{19974, 18, 110093, {1, 3, 3, 7, 27, 19, 23, 243, 347, 477, 1661, 1891, 2439, 2485, 31743, 1427, 20317, 90803}},
+{19975, 18, 110112, {1, 3, 1, 1, 3, 59, 71, 129, 21, 3, 449, 629, 3657, 4045, 8305, 40461, 60927, 38529}},
+{19976, 18, 110127, {1, 3, 3, 7, 9, 11, 85, 185, 369, 451, 887, 3709, 6931, 111, 1379, 8741, 58777, 188045}},
+{19977, 18, 110178, {1, 3, 7, 11, 23, 13, 77, 141, 99, 543, 725, 2439, 6825, 1361, 2785, 5345, 5941, 234751}},
+{19978, 18, 110183, {1, 1, 5, 5, 17, 55, 69, 9, 431, 585, 1049, 165, 1705, 14907, 8655, 12485, 22783, 91195}},
+{19979, 18, 110184, {1, 1, 7, 11, 29, 41, 91, 137, 17, 785, 1151, 2033, 7031, 15077, 2241, 21453, 117947, 128891}},
+{19980, 18, 110195, {1, 1, 1, 11, 17, 53, 113, 195, 409, 275, 1757, 245, 6263, 14785, 29159, 43827, 65027, 248403}},
+{19981, 18, 110307, {1, 3, 3, 3, 5, 15, 23, 41, 261, 891, 1021, 1999, 4883, 9233, 10385, 21953, 50711, 4247}},
+{19982, 18, 110334, {1, 1, 1, 13, 23, 47, 33, 77, 317, 251, 617, 2265, 7549, 327, 2317, 41209, 41063, 120863}},
+{19983, 18, 110336, {1, 1, 7, 11, 15, 17, 25, 105, 253, 713, 1147, 415, 5777, 2215, 4207, 33857, 17001, 260533}},
+{19984, 18, 110354, {1, 1, 1, 11, 31, 45, 3, 25, 329, 45, 1563, 121, 1413, 16229, 32485, 54477, 101025, 64847}},
+{19985, 18, 110356, {1, 3, 5, 1, 15, 59, 113, 203, 481, 545, 371, 1357, 5549, 3043, 397, 61483, 59779, 58159}},
+{19986, 18, 110390, {1, 3, 3, 3, 25, 39, 29, 193, 379, 293, 1173, 3389, 4231, 11519, 6681, 28813, 63609, 13029}},
+{19987, 18, 110419, {1, 3, 1, 1, 27, 57, 37, 249, 441, 905, 463, 3543, 7203, 10075, 5373, 46103, 6685, 146943}},
+{19988, 18, 110452, {1, 3, 5, 7, 31, 51, 21, 139, 209, 219, 1663, 837, 3351, 6291, 735, 8715, 33751, 199485}},
+{19989, 18, 110461, {1, 3, 5, 11, 19, 57, 41, 163, 287, 327, 243, 2891, 1095, 3959, 5067, 2867, 16207, 213089}},
+{19990, 18, 110465, {1, 1, 5, 11, 21, 59, 97, 239, 309, 371, 797, 453, 2595, 4277, 3771, 5665, 10075, 56101}},
+{19991, 18, 110466, {1, 1, 3, 15, 17, 29, 103, 33, 449, 525, 961, 3551, 3611, 14057, 15971, 26981, 35169, 130213}},
+{19992, 18, 110468, {1, 1, 3, 1, 5, 13, 39, 211, 387, 797, 1051, 3287, 3737, 12953, 3387, 35107, 78809, 162907}},
+{19993, 18, 110486, {1, 1, 7, 9, 7, 63, 127, 115, 173, 981, 623, 737, 7625, 12245, 4195, 61873, 104301, 250333}},
+{19994, 18, 110511, {1, 1, 1, 5, 19, 5, 123, 43, 209, 741, 747, 1057, 2683, 15359, 24121, 38413, 5823, 62213}},
+{19995, 18, 110531, {1, 1, 7, 1, 23, 13, 63, 165, 309, 323, 247, 3827, 5451, 4823, 23925, 56957, 69765, 259923}},
+{19996, 18, 110561, {1, 1, 5, 1, 5, 49, 51, 65, 31, 257, 1363, 3031, 5765, 3645, 16383, 6347, 30429, 130557}},
+{19997, 18, 110573, {1, 3, 5, 13, 9, 63, 31, 3, 317, 379, 1345, 2161, 7787, 2055, 21507, 20347, 97021, 183377}},
+{19998, 18, 110593, {1, 3, 5, 11, 15, 59, 13, 139, 415, 821, 639, 1249, 6349, 15861, 21377, 22813, 42839, 76595}},
+{19999, 18, 110611, {1, 1, 7, 9, 23, 11, 25, 115, 393, 153, 1269, 871, 1323, 1891, 11619, 3103, 79813, 39811}},
+{20000, 18, 110614, {1, 3, 1, 15, 27, 37, 63, 253, 1, 855, 1651, 3111, 6693, 1825, 22549, 64189, 18347, 253425}},
+{20001, 18, 110651, {1, 3, 1, 11, 23, 27, 119, 59, 421, 343, 831, 2679, 5899, 12087, 15953, 18601, 109551, 33895}},
+{20002, 18, 110661, {1, 3, 1, 13, 29, 3, 91, 227, 301, 491, 1045, 2105, 5189, 13717, 1095, 6039, 16229, 215687}},
+{20003, 18, 110665, {1, 1, 7, 3, 11, 53, 85, 25, 23, 293, 841, 3569, 5335, 8949, 28665, 15139, 100807, 155587}},
+{20004, 18, 110701, {1, 1, 1, 9, 31, 1, 77, 149, 181, 5, 915, 1155, 4717, 2837, 17545, 3235, 26811, 124901}},
+{20005, 18, 110730, {1, 1, 3, 5, 25, 27, 47, 215, 425, 195, 1575, 3961, 3521, 4197, 9565, 32523, 125091, 165543}},
+{20006, 18, 110735, {1, 3, 7, 3, 17, 57, 7, 137, 507, 303, 1123, 1511, 2465, 4277, 19959, 31951, 83157, 62843}},
+{20007, 18, 110738, {1, 3, 3, 1, 27, 43, 79, 191, 265, 167, 665, 4017, 6613, 1175, 5427, 47139, 91517, 32071}},
+{20008, 18, 110759, {1, 1, 1, 11, 29, 63, 9, 39, 303, 1021, 415, 2157, 5227, 13557, 4931, 12541, 74101, 13189}},
+{20009, 18, 110763, {1, 1, 3, 9, 15, 41, 45, 163, 301, 315, 1433, 1449, 3589, 15783, 16069, 16155, 10527, 69335}},
+{20010, 18, 110768, {1, 3, 1, 1, 1, 5, 75, 169, 215, 115, 939, 1285, 43, 1941, 27847, 5245, 51211, 244817}},
+{20011, 18, 110774, {1, 1, 1, 15, 7, 33, 31, 23, 397, 537, 1415, 329, 6705, 15015, 18883, 62895, 21435, 233075}},
+{20012, 18, 110783, {1, 3, 3, 5, 11, 49, 73, 147, 183, 317, 11, 1997, 1045, 6015, 29159, 55195, 105711, 134727}},
+{20013, 18, 110785, {1, 3, 3, 9, 21, 41, 5, 213, 421, 539, 1269, 1929, 3701, 2165, 14997, 21933, 58167, 239719}},
+{20014, 18, 110809, {1, 3, 1, 5, 23, 63, 37, 27, 21, 547, 1499, 1621, 141, 5309, 32257, 47241, 123617, 243853}},
+{20015, 18, 110812, {1, 1, 1, 13, 31, 45, 47, 91, 165, 1007, 1295, 4035, 1461, 10423, 7747, 7329, 114599, 169375}},
+{20016, 18, 110840, {1, 1, 5, 3, 21, 9, 75, 61, 35, 745, 31, 4085, 3645, 16239, 14979, 15725, 108859, 56745}},
+{20017, 18, 110853, {1, 1, 5, 15, 11, 31, 13, 229, 417, 147, 1993, 4043, 7757, 13507, 15297, 56119, 2223, 142275}},
+{20018, 18, 110905, {1, 3, 5, 13, 3, 57, 45, 109, 135, 829, 159, 769, 865, 2583, 15755, 44343, 84561, 98621}},
+{20019, 18, 110933, {1, 1, 7, 11, 17, 11, 115, 45, 371, 411, 863, 2139, 3897, 13981, 16771, 4587, 25195, 66077}},
+{20020, 18, 110961, {1, 3, 7, 15, 17, 47, 51, 133, 133, 475, 1363, 3325, 4287, 4837, 22077, 60225, 3097, 246805}},
+{20021, 18, 110962, {1, 3, 5, 9, 29, 51, 127, 125, 353, 519, 129, 1409, 1497, 3167, 14163, 24921, 81343, 129835}},
+{20022, 18, 110974, {1, 3, 5, 5, 19, 39, 95, 109, 229, 1015, 367, 2373, 709, 6169, 4089, 13533, 22399, 118977}},
+{20023, 18, 110987, {1, 1, 5, 5, 17, 21, 91, 131, 309, 739, 1373, 3723, 6659, 1119, 27521, 55589, 34967, 70831}},
+{20024, 18, 110989, {1, 3, 1, 11, 5, 7, 85, 215, 425, 947, 589, 375, 5943, 13399, 18307, 27007, 18919, 200617}},
+{20025, 18, 111007, {1, 1, 3, 15, 11, 37, 111, 179, 259, 517, 1679, 225, 3493, 15025, 21751, 40687, 73001, 214477}},
+{20026, 18, 111011, {1, 1, 7, 15, 17, 41, 109, 129, 427, 847, 1965, 3269, 5871, 12331, 26899, 49791, 103471, 213789}},
+{20027, 18, 111043, {1, 3, 3, 3, 9, 41, 25, 115, 95, 737, 717, 1545, 841, 14923, 7409, 45365, 100139, 77787}},
+{20028, 18, 111070, {1, 1, 3, 15, 11, 3, 63, 23, 425, 433, 537, 1599, 2691, 11271, 1695, 40579, 53507, 73033}},
+{20029, 18, 111088, {1, 3, 7, 13, 9, 21, 85, 31, 337, 583, 1883, 3877, 7197, 7715, 21525, 53273, 11263, 41907}},
+{20030, 18, 111127, {1, 3, 7, 1, 7, 53, 61, 45, 299, 885, 1391, 3109, 6851, 6079, 18857, 44537, 95713, 146125}},
+{20031, 18, 111140, {1, 1, 1, 3, 21, 49, 95, 105, 419, 315, 365, 3035, 4169, 5723, 26921, 62809, 27019, 243965}},
+{20032, 18, 111149, {1, 1, 3, 5, 11, 39, 71, 89, 249, 11, 1395, 105, 6637, 4577, 22979, 32405, 93163, 58785}},
+{20033, 18, 111229, {1, 1, 1, 1, 27, 25, 125, 85, 495, 697, 1793, 301, 7665, 12671, 25359, 38803, 58723, 189837}},
+{20034, 18, 111230, {1, 3, 5, 11, 17, 11, 61, 211, 19, 901, 1701, 223, 2195, 15571, 3529, 34699, 94607, 196519}},
+{20035, 18, 111243, {1, 3, 7, 11, 15, 1, 111, 1, 381, 145, 293, 3639, 6931, 13195, 19985, 58491, 53067, 184411}},
+{20036, 18, 111267, {1, 3, 1, 15, 31, 39, 39, 101, 17, 431, 1151, 2465, 727, 12709, 5377, 5857, 49707, 76439}},
+{20037, 18, 111287, {1, 3, 3, 5, 7, 1, 3, 39, 357, 339, 415, 567, 7245, 13943, 7495, 54133, 119705, 160615}},
+{20038, 18, 111313, {1, 3, 5, 15, 9, 17, 13, 253, 337, 673, 1745, 2613, 4635, 14025, 11159, 50001, 40753, 172983}},
+{20039, 18, 111356, {1, 3, 7, 11, 3, 15, 19, 107, 393, 1015, 1441, 181, 5721, 9987, 15557, 37263, 90053, 205685}},
+{20040, 18, 111368, {1, 1, 5, 1, 9, 3, 69, 123, 245, 111, 283, 1581, 259, 275, 813, 12213, 19639, 7335}},
+{20041, 18, 111409, {1, 3, 7, 7, 1, 55, 101, 63, 259, 705, 653, 3821, 2081, 6447, 25471, 15523, 38827, 68055}},
+{20042, 18, 111419, {1, 1, 5, 7, 27, 9, 97, 149, 445, 341, 167, 3695, 375, 853, 8143, 36027, 62729, 197357}},
+{20043, 18, 111430, {1, 3, 7, 1, 1, 37, 97, 103, 493, 319, 1287, 3787, 4079, 13049, 14305, 6665, 4631, 96225}},
+{20044, 18, 111433, {1, 1, 5, 7, 1, 5, 127, 143, 251, 725, 1759, 2381, 181, 15741, 9395, 64441, 44347, 221697}},
+{20045, 18, 111442, {1, 3, 1, 3, 25, 47, 29, 167, 397, 827, 1255, 3271, 6307, 13915, 3131, 19123, 88619, 62847}},
+{20046, 18, 111467, {1, 3, 5, 1, 29, 11, 59, 203, 245, 553, 617, 1287, 205, 2291, 3613, 39933, 116981, 43595}},
+{20047, 18, 111491, {1, 1, 3, 9, 27, 33, 35, 77, 437, 1003, 119, 253, 6643, 113, 10587, 41073, 55371, 233307}},
+{20048, 18, 111503, {1, 3, 7, 1, 29, 63, 1, 231, 373, 995, 1063, 1385, 273, 14115, 6899, 62991, 112003, 80527}},
+{20049, 18, 111527, {1, 3, 3, 1, 31, 21, 55, 115, 393, 685, 245, 1587, 5617, 267, 19639, 15169, 14073, 173091}},
+{20050, 18, 111531, {1, 3, 1, 11, 29, 45, 53, 21, 433, 979, 1067, 2999, 6279, 4739, 30835, 61653, 112893, 75839}},
+{20051, 18, 111541, {1, 1, 5, 11, 23, 25, 15, 107, 325, 981, 1057, 1181, 4465, 16291, 1523, 64497, 129437, 45067}},
+{20052, 18, 111546, {1, 1, 1, 5, 1, 21, 79, 135, 419, 997, 1967, 747, 2097, 15397, 4415, 15807, 79583, 259561}},
+{20053, 18, 111548, {1, 3, 1, 7, 5, 49, 105, 109, 243, 371, 13, 2297, 2845, 12569, 13165, 13551, 75471, 168579}},
+{20054, 18, 111577, {1, 1, 1, 1, 9, 33, 7, 233, 43, 773, 1121, 3763, 4047, 15039, 8165, 25407, 82561, 215045}},
+{20055, 18, 111625, {1, 3, 7, 1, 17, 41, 105, 129, 333, 687, 1357, 1197, 1271, 3835, 15823, 36777, 94311, 192321}},
+{20056, 18, 111636, {1, 1, 5, 15, 13, 31, 93, 249, 81, 167, 1681, 1587, 179, 5755, 27741, 29437, 100407, 63287}},
+{20057, 18, 111650, {1, 3, 3, 13, 11, 39, 85, 23, 37, 183, 547, 1255, 1167, 15961, 23281, 59989, 99393, 34983}},
+{20058, 18, 111655, {1, 3, 7, 5, 13, 33, 17, 243, 321, 845, 447, 1997, 4639, 11175, 24651, 18281, 82677, 244543}},
+{20059, 18, 111662, {1, 3, 5, 13, 3, 63, 75, 35, 493, 207, 1707, 1401, 3687, 11353, 5461, 23433, 71259, 93483}},
+{20060, 18, 111673, {1, 1, 3, 1, 19, 61, 81, 133, 115, 957, 669, 647, 347, 8739, 18451, 39641, 118677, 136601}},
+{20061, 18, 111699, {1, 1, 7, 13, 3, 13, 119, 187, 111, 181, 1865, 1613, 201, 3633, 17805, 46553, 8899, 100407}},
+{20062, 18, 111727, {1, 3, 3, 9, 19, 33, 35, 215, 235, 893, 877, 3099, 7597, 13521, 22473, 65435, 3205, 44897}},
+{20063, 18, 111729, {1, 3, 3, 11, 27, 3, 101, 201, 215, 373, 859, 1435, 2637, 6795, 21157, 3333, 27797, 199427}},
+{20064, 18, 111741, {1, 1, 7, 13, 31, 33, 85, 205, 273, 565, 2033, 3451, 7581, 16223, 1383, 16297, 1263, 49065}},
+{20065, 18, 111757, {1, 1, 1, 13, 11, 29, 65, 71, 395, 179, 1193, 3859, 3075, 10133, 6463, 34617, 20173, 203471}},
+{20066, 18, 111781, {1, 1, 7, 3, 7, 29, 11, 115, 465, 695, 1759, 3137, 6337, 977, 43, 62501, 13297, 59319}},
+{20067, 18, 111791, {1, 3, 5, 9, 31, 59, 11, 107, 109, 797, 177, 2891, 2535, 4305, 19255, 9591, 84417, 87381}},
+{20068, 18, 111826, {1, 3, 3, 3, 1, 9, 45, 219, 73, 573, 1477, 3699, 8145, 835, 7123, 37167, 53411, 45397}},
+{20069, 18, 111838, {1, 3, 5, 15, 15, 41, 37, 63, 233, 971, 1497, 1223, 3909, 11721, 9217, 41055, 9779, 199339}},
+{20070, 18, 111854, {1, 3, 3, 7, 17, 61, 91, 237, 313, 841, 7, 3283, 4049, 10403, 22157, 4889, 31903, 188043}},
+{20071, 18, 111861, {1, 3, 7, 1, 25, 3, 59, 87, 191, 725, 1615, 4057, 3037, 14597, 17371, 42221, 73919, 58009}},
+{20072, 18, 111866, {1, 3, 5, 11, 27, 7, 45, 231, 315, 727, 843, 2191, 7909, 53, 23309, 55189, 96193, 174017}},
+{20073, 18, 111868, {1, 3, 5, 11, 27, 51, 127, 187, 209, 883, 429, 137, 4585, 15195, 16527, 32571, 30905, 8137}},
+{20074, 18, 111897, {1, 1, 1, 11, 15, 55, 13, 161, 183, 671, 659, 3669, 4461, 13691, 17119, 26877, 52041, 110103}},
+{20075, 18, 111903, {1, 3, 5, 9, 5, 45, 29, 19, 415, 931, 683, 2987, 3839, 4529, 3091, 54457, 115537, 102671}},
+{20076, 18, 111904, {1, 1, 7, 13, 23, 31, 61, 17, 327, 951, 1333, 713, 4309, 1955, 22797, 27007, 106673, 47177}},
+{20077, 18, 111959, {1, 3, 3, 9, 31, 49, 19, 115, 413, 257, 1799, 3641, 2075, 15613, 14293, 16123, 45131, 209389}},
+{20078, 18, 111975, {1, 1, 7, 15, 1, 15, 27, 63, 463, 825, 1081, 991, 2641, 5999, 8551, 41119, 80251, 189263}},
+{20079, 18, 112018, {1, 1, 5, 9, 7, 55, 125, 97, 245, 997, 457, 1087, 1297, 3433, 14887, 24117, 30689, 184809}},
+{20080, 18, 112023, {1, 3, 1, 9, 23, 59, 81, 233, 341, 943, 1335, 2819, 2625, 4957, 14925, 7917, 107383, 204493}},
+{20081, 18, 112033, {1, 3, 5, 5, 5, 25, 79, 29, 191, 541, 1295, 269, 613, 5201, 28639, 52839, 52865, 75181}},
+{20082, 18, 112036, {1, 3, 3, 7, 19, 45, 35, 201, 391, 317, 1323, 2733, 3407, 10273, 32689, 52153, 108751, 242493}},
+{20083, 18, 112043, {1, 3, 1, 7, 15, 27, 45, 21, 383, 483, 1857, 3443, 2263, 11471, 3697, 63929, 116399, 229733}},
+{20084, 18, 112095, {1, 1, 3, 9, 13, 27, 19, 37, 181, 811, 1833, 177, 7689, 10073, 20229, 31397, 65415, 68461}},
+{20085, 18, 112113, {1, 1, 1, 15, 19, 53, 65, 209, 433, 783, 1647, 4075, 3155, 733, 25603, 39033, 43109, 151257}},
+{20086, 18, 112136, {1, 3, 3, 5, 9, 37, 61, 75, 497, 825, 1785, 3709, 1731, 889, 19325, 57453, 39095, 190855}},
+{20087, 18, 112153, {1, 3, 3, 13, 3, 53, 21, 39, 483, 833, 1191, 2829, 1323, 1877, 17257, 36077, 47997, 25349}},
+{20088, 18, 112165, {1, 1, 7, 9, 29, 25, 7, 91, 87, 723, 777, 1865, 7763, 10995, 15953, 36111, 21313, 214417}},
+{20089, 18, 112166, {1, 3, 5, 3, 17, 15, 85, 133, 245, 317, 879, 3237, 7049, 6501, 13359, 34063, 124703, 118289}},
+{20090, 18, 112177, {1, 1, 1, 7, 11, 25, 111, 143, 369, 593, 237, 2787, 1015, 13059, 23275, 38453, 90809, 25803}},
+{20091, 18, 112189, {1, 1, 7, 5, 13, 21, 39, 235, 381, 381, 949, 773, 1123, 9911, 18115, 47657, 47849, 197633}},
+{20092, 18, 112226, {1, 1, 3, 13, 15, 57, 47, 203, 483, 341, 137, 1283, 2847, 5051, 22593, 60915, 45123, 258733}},
+{20093, 18, 112237, {1, 1, 3, 5, 29, 7, 23, 127, 493, 543, 747, 3547, 4433, 5847, 28999, 18079, 81205, 231557}},
+{20094, 18, 112240, {1, 1, 3, 15, 9, 63, 17, 197, 75, 387, 1679, 2631, 1033, 2757, 18365, 11957, 98915, 24223}},
+{20095, 18, 112255, {1, 1, 3, 9, 27, 55, 67, 97, 345, 995, 1151, 1747, 4889, 13847, 13237, 9035, 13461, 10377}},
+{20096, 18, 112265, {1, 1, 5, 9, 27, 13, 7, 77, 399, 191, 137, 2801, 6379, 15969, 1727, 27503, 97385, 147625}},
+{20097, 18, 112280, {1, 3, 1, 7, 5, 9, 103, 163, 489, 615, 1359, 2635, 3115, 13795, 18853, 65225, 26545, 212065}},
+{20098, 18, 112292, {1, 3, 7, 3, 13, 25, 125, 133, 359, 423, 751, 4045, 1209, 7521, 6653, 39171, 125083, 229399}},
+{20099, 18, 112307, {1, 3, 1, 9, 15, 21, 121, 223, 283, 313, 1807, 3829, 5279, 10609, 20113, 7851, 23731, 245327}},
+{20100, 18, 112316, {1, 1, 1, 11, 15, 13, 63, 253, 311, 369, 1549, 2803, 2029, 14967, 14217, 1387, 104669, 63375}},
+{20101, 18, 112342, {1, 1, 3, 3, 31, 49, 59, 189, 249, 779, 275, 3761, 3465, 2205, 11543, 16973, 126249, 104769}},
+{20102, 18, 112345, {1, 3, 1, 5, 11, 39, 59, 33, 121, 151, 467, 1011, 1379, 13955, 20117, 52537, 51049, 50663}},
+{20103, 18, 112351, {1, 1, 1, 7, 5, 41, 121, 29, 357, 33, 849, 2441, 2127, 1337, 21147, 63869, 80215, 31211}},
+{20104, 18, 112361, {1, 3, 3, 3, 25, 41, 17, 101, 173, 915, 463, 2391, 1671, 8789, 13357, 42127, 17599, 61087}},
+{20105, 18, 112364, {1, 1, 3, 9, 29, 23, 47, 211, 435, 223, 1421, 2463, 4543, 8569, 30209, 46621, 14367, 13263}},
+{20106, 18, 112372, {1, 3, 7, 7, 5, 9, 75, 209, 299, 81, 1705, 2335, 6703, 6309, 5859, 57889, 43219, 7667}},
+{20107, 18, 112382, {1, 3, 3, 3, 19, 31, 107, 87, 413, 111, 215, 2711, 7053, 5223, 25241, 26675, 16067, 122719}},
+{20108, 18, 112389, {1, 1, 1, 15, 21, 3, 15, 13, 281, 63, 725, 2025, 4813, 14177, 18577, 875, 118623, 192005}},
+{20109, 18, 112408, {1, 3, 5, 9, 17, 21, 85, 173, 59, 153, 763, 3899, 1985, 2071, 10439, 44911, 60915, 122419}},
+{20110, 18, 112417, {1, 3, 7, 13, 11, 63, 59, 95, 53, 927, 555, 1897, 5195, 13469, 16973, 3463, 125173, 256021}},
+{20111, 18, 112423, {1, 1, 3, 7, 9, 63, 33, 193, 61, 445, 1247, 1379, 4701, 5311, 30709, 16795, 69871, 161113}},
+{20112, 18, 112476, {1, 3, 1, 3, 21, 25, 125, 111, 109, 75, 455, 861, 6483, 4501, 19095, 45601, 78415, 30995}},
+{20113, 18, 112480, {1, 1, 3, 5, 1, 25, 15, 25, 223, 961, 537, 1453, 4951, 5085, 19801, 9863, 108819, 7319}},
+{20114, 18, 112483, {1, 3, 1, 5, 29, 21, 79, 113, 177, 691, 219, 3159, 3493, 25, 30655, 46257, 23707, 243377}},
+{20115, 18, 112513, {1, 1, 3, 3, 27, 21, 11, 95, 43, 161, 2029, 4091, 6695, 7179, 9955, 45195, 32017, 128605}},
+{20116, 18, 112538, {1, 1, 7, 5, 19, 37, 47, 83, 169, 143, 773, 2127, 347, 1887, 2861, 8155, 21437, 175641}},
+{20117, 18, 112543, {1, 3, 1, 1, 27, 63, 119, 57, 77, 931, 629, 1807, 4469, 2315, 3767, 19207, 114581, 125135}},
+{20118, 18, 112574, {1, 1, 5, 11, 13, 51, 51, 239, 333, 369, 1035, 3017, 103, 1809, 14579, 34425, 123915, 258397}},
+{20119, 18, 112599, {1, 1, 1, 3, 3, 19, 63, 237, 141, 929, 943, 2597, 3983, 1043, 24269, 12325, 39013, 216689}},
+{20120, 18, 112605, {1, 1, 3, 7, 9, 61, 73, 31, 287, 303, 1415, 3453, 2667, 8625, 14347, 51953, 9181, 251937}},
+{20121, 18, 112667, {1, 1, 7, 1, 15, 41, 1, 197, 87, 311, 1147, 3799, 2585, 14027, 491, 54203, 124861, 227637}},
+{20122, 18, 112688, {1, 3, 7, 3, 15, 35, 97, 89, 65, 493, 1897, 3345, 3807, 5911, 12461, 21393, 116975, 212801}},
+{20123, 18, 112735, {1, 1, 7, 11, 29, 47, 61, 171, 399, 929, 93, 2815, 4933, 9209, 15053, 21911, 117217, 52539}},
+{20124, 18, 112746, {1, 3, 1, 1, 19, 25, 11, 41, 73, 317, 215, 923, 5153, 8025, 18703, 11513, 107981, 2027}},
+{20125, 18, 112810, {1, 1, 5, 7, 27, 33, 47, 99, 171, 259, 2017, 2055, 909, 4185, 26689, 23155, 109857, 213957}},
+{20126, 18, 112817, {1, 3, 7, 3, 31, 17, 39, 203, 255, 345, 1461, 1561, 4349, 6451, 14763, 32993, 74475, 140557}},
+{20127, 18, 112827, {1, 1, 5, 3, 21, 57, 75, 201, 371, 529, 1471, 243, 3751, 581, 18405, 40933, 106311, 745}},
+{20128, 18, 112835, {1, 1, 3, 13, 7, 53, 125, 15, 55, 267, 1865, 3297, 4331, 2913, 21675, 58911, 28419, 105585}},
+{20129, 18, 112892, {1, 3, 5, 13, 7, 13, 37, 37, 207, 127, 785, 1129, 8123, 7655, 16003, 18907, 48883, 2001}},
+{20130, 18, 112898, {1, 1, 5, 3, 11, 3, 127, 149, 503, 1019, 887, 3429, 7775, 7113, 19571, 34461, 38889, 66981}},
+{20131, 18, 112915, {1, 3, 7, 7, 1, 55, 87, 217, 465, 485, 411, 2955, 4899, 1741, 7051, 42885, 1837, 68175}},
+{20132, 18, 112918, {1, 1, 7, 1, 7, 39, 25, 1, 185, 523, 273, 2409, 1867, 3101, 29823, 4509, 81621, 11815}},
+{20133, 18, 112937, {1, 1, 1, 11, 13, 11, 89, 237, 355, 347, 91, 1791, 5745, 4181, 29207, 39495, 5275, 199395}},
+{20134, 18, 112940, {1, 1, 7, 3, 17, 37, 109, 169, 191, 295, 1001, 2631, 1981, 11821, 8315, 40675, 1293, 220247}},
+{20135, 18, 112958, {1, 3, 1, 7, 31, 25, 5, 55, 1, 795, 1663, 3177, 6821, 2073, 25789, 23691, 25015, 75203}},
+{20136, 18, 113013, {1, 3, 5, 9, 19, 9, 97, 129, 351, 735, 1897, 3555, 1731, 5413, 32051, 12869, 111973, 100157}},
+{20137, 18, 113014, {1, 3, 3, 15, 27, 1, 3, 167, 7, 851, 805, 713, 6389, 1455, 32371, 7617, 107157, 131299}},
+{20138, 18, 113027, {1, 3, 1, 13, 31, 29, 91, 123, 387, 939, 223, 3583, 2889, 5307, 16561, 6055, 4437, 123229}},
+{20139, 18, 113048, {1, 3, 5, 11, 27, 17, 5, 145, 369, 449, 1677, 1039, 3553, 3057, 11667, 51879, 20519, 41573}},
+{20140, 18, 113051, {1, 3, 1, 9, 9, 1, 91, 33, 379, 35, 691, 375, 5937, 15019, 16177, 53457, 52015, 232257}},
+{20141, 18, 113053, {1, 1, 3, 11, 23, 17, 75, 217, 377, 571, 1725, 2719, 3911, 12277, 27799, 55573, 21981, 112529}},
+{20142, 18, 113102, {1, 3, 1, 11, 9, 37, 81, 95, 501, 615, 327, 3751, 7333, 15407, 7785, 29113, 116335, 221853}},
+{20143, 18, 113104, {1, 1, 1, 3, 17, 1, 125, 157, 461, 845, 93, 107, 4429, 2271, 14445, 32919, 81175, 244557}},
+{20144, 18, 113114, {1, 3, 3, 1, 27, 23, 33, 15, 29, 361, 409, 981, 7819, 10259, 21971, 23317, 66641, 54591}},
+{20145, 18, 113130, {1, 3, 7, 13, 31, 63, 11, 167, 511, 81, 1165, 3973, 4275, 3315, 10227, 34973, 58505, 2333}},
+{20146, 18, 113159, {1, 3, 1, 9, 3, 49, 111, 101, 41, 775, 449, 1349, 4411, 8691, 535, 60137, 3269, 204895}},
+{20147, 18, 113180, {1, 3, 7, 15, 7, 43, 39, 147, 309, 185, 733, 1473, 5467, 6183, 17971, 56805, 111931, 163515}},
+{20148, 18, 113189, {1, 3, 1, 3, 21, 31, 17, 129, 317, 587, 801, 2517, 2569, 765, 20869, 16461, 34425, 101123}},
+{20149, 18, 113211, {1, 3, 1, 7, 13, 63, 117, 31, 25, 741, 365, 687, 6195, 2093, 14679, 16861, 123381, 25263}},
+{20150, 18, 113245, {1, 1, 1, 3, 13, 59, 65, 131, 41, 39, 1659, 1491, 225, 10277, 12445, 4161, 92119, 146705}},
+{20151, 18, 113261, {1, 3, 5, 1, 31, 11, 21, 203, 345, 473, 1643, 1377, 555, 11675, 15383, 30855, 41249, 231059}},
+{20152, 18, 113273, {1, 1, 7, 15, 3, 23, 33, 133, 433, 407, 1217, 3345, 7455, 11489, 21463, 41621, 95755, 86971}},
+{20153, 18, 113292, {1, 1, 1, 3, 13, 47, 45, 181, 489, 89, 427, 1915, 3993, 10133, 20437, 31811, 48421, 150009}},
+{20154, 18, 113314, {1, 3, 1, 9, 9, 25, 89, 195, 503, 755, 59, 1869, 6645, 13841, 22973, 17761, 46759, 68717}},
+{20155, 18, 113319, {1, 3, 1, 1, 19, 21, 119, 123, 481, 289, 1009, 3769, 3909, 1123, 17875, 17383, 71533, 45455}},
+{20156, 18, 113323, {1, 1, 1, 3, 31, 33, 127, 43, 467, 749, 377, 3025, 511, 13335, 23987, 63627, 50211, 197253}},
+{20157, 18, 113326, {1, 1, 5, 13, 29, 7, 101, 43, 299, 769, 1637, 3731, 1945, 9933, 22263, 1523, 127557, 116867}},
+{20158, 18, 113337, {1, 1, 3, 11, 1, 59, 25, 45, 275, 535, 1349, 3625, 8125, 727, 1215, 15487, 86229, 124817}},
+{20159, 18, 113338, {1, 3, 3, 13, 3, 11, 25, 237, 213, 331, 395, 1775, 1225, 6859, 16577, 39105, 118081, 74727}},
+{20160, 18, 113355, {1, 1, 1, 9, 5, 27, 117, 75, 479, 757, 1299, 2273, 3221, 5297, 249, 60327, 48739, 107023}},
+{20161, 18, 113365, {1, 1, 5, 9, 27, 9, 123, 49, 63, 763, 121, 3955, 2069, 5999, 25973, 64661, 6321, 1179}},
+{20162, 18, 113376, {1, 3, 7, 11, 9, 51, 65, 93, 51, 51, 829, 3239, 7431, 3489, 7691, 38777, 28151, 96635}},
+{20163, 18, 113408, {1, 3, 3, 13, 15, 51, 13, 203, 49, 73, 363, 2173, 7771, 11527, 27683, 39333, 2083, 178623}},
+{20164, 18, 113462, {1, 1, 5, 5, 15, 27, 27, 127, 503, 955, 427, 3061, 6213, 917, 889, 12601, 72445, 105383}},
+{20165, 18, 113476, {1, 3, 5, 3, 27, 43, 105, 187, 309, 747, 1843, 723, 539, 8829, 19171, 46009, 26129, 173145}},
+{20166, 18, 113503, {1, 3, 7, 7, 9, 51, 121, 139, 107, 453, 1103, 2957, 633, 1435, 27275, 53231, 51393, 16847}},
+{20167, 18, 113550, {1, 3, 7, 5, 25, 31, 71, 191, 169, 69, 1477, 1413, 7659, 11737, 12365, 25067, 21787, 16225}},
+{20168, 18, 113578, {1, 1, 7, 1, 9, 33, 37, 123, 391, 341, 829, 1543, 7323, 14695, 16431, 20009, 95821, 182791}},
+{20169, 18, 113580, {1, 3, 1, 5, 9, 59, 109, 39, 301, 977, 1963, 177, 8107, 16193, 5691, 14157, 71605, 250839}},
+{20170, 18, 113634, {1, 3, 5, 9, 29, 33, 33, 153, 7, 217, 201, 563, 6577, 9605, 16671, 63949, 97937, 234309}},
+{20171, 18, 113653, {1, 3, 7, 3, 25, 11, 81, 89, 275, 801, 477, 1921, 2279, 1651, 13333, 9127, 99693, 83141}},
+{20172, 18, 113677, {1, 3, 7, 5, 23, 51, 23, 51, 447, 689, 387, 1845, 6033, 2037, 20139, 33165, 56111, 243353}},
+{20173, 18, 113713, {1, 3, 5, 7, 5, 7, 105, 121, 439, 471, 721, 85, 1627, 3735, 29611, 15537, 36131, 30225}},
+{20174, 18, 113751, {1, 1, 5, 5, 7, 29, 31, 209, 183, 217, 467, 1287, 6145, 14737, 16249, 8857, 101405, 103355}},
+{20175, 18, 113771, {1, 3, 3, 5, 19, 1, 43, 15, 239, 63, 617, 2189, 3841, 1223, 12217, 4121, 88047, 14069}},
+{20176, 18, 113781, {1, 3, 7, 1, 9, 49, 11, 65, 297, 943, 1739, 3797, 6169, 2057, 5031, 2149, 21439, 141039}},
+{20177, 18, 113797, {1, 1, 1, 7, 15, 59, 35, 203, 347, 529, 1741, 1003, 6143, 4979, 15495, 48447, 2139, 187025}},
+{20178, 18, 113846, {1, 1, 7, 13, 15, 17, 77, 225, 461, 691, 1067, 1133, 6555, 511, 25845, 39835, 11755, 142743}},
+{20179, 18, 113849, {1, 3, 3, 11, 27, 25, 49, 51, 335, 1, 381, 2703, 7023, 14739, 19335, 39625, 82255, 76277}},
+{20180, 18, 113855, {1, 3, 3, 7, 19, 3, 35, 95, 203, 991, 515, 2245, 6085, 4129, 9581, 38309, 114203, 136021}},
+{20181, 18, 113878, {1, 1, 7, 7, 21, 61, 31, 57, 459, 119, 523, 1293, 3647, 735, 28849, 15581, 123943, 210069}},
+{20182, 18, 113884, {1, 1, 7, 3, 9, 55, 103, 23, 401, 109, 23, 4083, 6179, 12817, 2787, 43337, 53647, 241507}},
+{20183, 18, 113926, {1, 1, 5, 7, 9, 51, 37, 133, 97, 933, 1509, 2229, 1769, 12901, 15439, 25687, 128823, 72451}},
+{20184, 18, 113938, {1, 3, 1, 13, 17, 19, 7, 109, 299, 799, 621, 3393, 3645, 283, 29889, 63215, 97805, 45795}},
+{20185, 18, 113956, {1, 3, 1, 15, 21, 7, 65, 237, 221, 433, 1611, 2591, 3639, 3231, 6025, 53465, 88091, 17657}},
+{20186, 18, 113980, {1, 1, 7, 9, 27, 13, 11, 185, 381, 43, 961, 2743, 2691, 10531, 3713, 61757, 124011, 209323}},
+{20187, 18, 113986, {1, 3, 5, 1, 13, 7, 109, 65, 359, 577, 2001, 3085, 3519, 8577, 19299, 40145, 37159, 82421}},
+{20188, 18, 113991, {1, 1, 3, 11, 7, 5, 21, 215, 391, 317, 879, 1835, 611, 7189, 3887, 45383, 41025, 175701}},
+{20189, 18, 114005, {1, 1, 1, 1, 5, 17, 69, 115, 481, 477, 2017, 583, 8033, 11349, 16625, 213, 88033, 31707}},
+{20190, 18, 114022, {1, 1, 7, 15, 19, 55, 121, 35, 1, 71, 1011, 3247, 4133, 1681, 29943, 30149, 96797, 177707}},
+{20191, 18, 114036, {1, 3, 5, 13, 11, 45, 83, 153, 455, 223, 787, 2025, 5271, 229, 17549, 5775, 75311, 134523}},
+{20192, 18, 114046, {1, 3, 5, 7, 21, 43, 3, 253, 395, 651, 1111, 1685, 539, 6555, 25761, 39477, 15823, 261825}},
+{20193, 18, 114050, {1, 3, 7, 15, 27, 35, 43, 191, 269, 247, 883, 887, 1505, 7433, 6239, 5421, 49583, 17765}},
+{20194, 18, 114061, {1, 1, 5, 15, 7, 19, 113, 177, 63, 119, 517, 3987, 971, 12071, 13107, 28913, 85675, 204921}},
+{20195, 18, 114067, {1, 3, 7, 15, 31, 47, 21, 129, 31, 505, 661, 855, 6135, 13063, 27971, 63801, 27469, 75373}},
+{20196, 18, 114117, {1, 1, 7, 5, 13, 23, 111, 85, 279, 969, 483, 831, 483, 9065, 10997, 59031, 5083, 150939}},
+{20197, 18, 114142, {1, 3, 5, 7, 17, 55, 11, 223, 189, 209, 139, 577, 5443, 913, 19085, 53113, 8427, 11251}},
+{20198, 18, 114158, {1, 1, 1, 7, 23, 61, 95, 213, 443, 803, 1545, 3625, 2195, 2649, 10913, 14339, 23001, 16735}},
+{20199, 18, 114165, {1, 3, 3, 3, 13, 45, 15, 225, 419, 445, 527, 635, 2279, 5097, 25267, 199, 66187, 156717}},
+{20200, 18, 114200, {1, 1, 1, 7, 23, 17, 113, 245, 99, 159, 919, 2961, 1731, 6241, 12749, 8925, 44153, 243249}},
+{20201, 18, 114219, {1, 3, 1, 3, 29, 57, 43, 245, 389, 233, 135, 45, 3771, 14061, 10173, 51939, 128985, 81605}},
+{20202, 18, 114254, {1, 1, 1, 15, 1, 19, 25, 111, 91, 193, 1185, 3679, 7155, 7077, 13743, 35631, 128975, 196979}},
+{20203, 18, 114265, {1, 3, 3, 13, 31, 57, 25, 53, 149, 331, 643, 915, 1607, 14429, 29803, 23459, 72915, 39253}},
+{20204, 18, 114272, {1, 3, 3, 9, 23, 45, 9, 29, 383, 277, 981, 1647, 5217, 4449, 26759, 63849, 98081, 37565}},
+{20205, 18, 114312, {1, 1, 1, 15, 3, 23, 9, 121, 231, 27, 1961, 2389, 1689, 7041, 8069, 37973, 74601, 15553}},
+{20206, 18, 114318, {1, 1, 5, 15, 15, 29, 11, 177, 355, 47, 1821, 393, 3383, 10439, 6357, 41119, 60323, 206253}},
+{20207, 18, 114348, {1, 1, 1, 1, 21, 29, 87, 149, 157, 979, 1867, 729, 1949, 4409, 27495, 6841, 89033, 214957}},
+{20208, 18, 114377, {1, 1, 3, 3, 9, 7, 115, 129, 141, 157, 881, 109, 5537, 303, 32549, 1953, 9903, 82401}},
+{20209, 18, 114383, {1, 1, 5, 15, 9, 19, 93, 53, 319, 913, 1341, 705, 4639, 16189, 11375, 39155, 81393, 115843}},
+{20210, 18, 114386, {1, 1, 5, 7, 31, 21, 3, 47, 437, 799, 359, 3291, 3917, 12983, 19283, 23769, 34033, 226041}},
+{20211, 18, 114431, {1, 3, 7, 7, 27, 13, 65, 31, 181, 511, 1373, 3871, 1537, 6015, 12103, 42187, 121043, 95715}},
+{20212, 18, 114448, {1, 1, 5, 11, 1, 55, 91, 11, 105, 137, 1787, 81, 5163, 5793, 17403, 59433, 113439, 65751}},
+{20213, 18, 114479, {1, 1, 3, 13, 21, 57, 87, 157, 379, 5, 285, 3217, 4557, 3359, 28953, 63397, 110537, 230571}},
+{20214, 18, 114487, {1, 3, 7, 7, 7, 27, 25, 109, 125, 337, 719, 561, 5903, 12913, 6987, 17157, 50655, 195109}},
+{20215, 18, 114513, {1, 3, 3, 15, 3, 11, 97, 93, 441, 19, 1435, 515, 6129, 5177, 28075, 53495, 107817, 78399}},
+{20216, 18, 114542, {1, 3, 1, 9, 13, 7, 89, 171, 165, 479, 223, 4001, 691, 4033, 13577, 33363, 63447, 46609}},
+{20217, 18, 114572, {1, 3, 7, 1, 15, 47, 103, 45, 209, 639, 1465, 2795, 6025, 7981, 29491, 47743, 12861, 222445}},
+{20218, 18, 114584, {1, 3, 3, 3, 1, 25, 121, 91, 253, 969, 1259, 1409, 1329, 15995, 17733, 24081, 101747, 120619}},
+{20219, 18, 114600, {1, 3, 7, 11, 11, 5, 7, 241, 469, 411, 1733, 1385, 7005, 10977, 23369, 10675, 90341, 93077}},
+{20220, 18, 114605, {1, 3, 3, 13, 17, 35, 107, 189, 437, 801, 1761, 3133, 3847, 14079, 22465, 45957, 38449, 54273}},
+{20221, 18, 114623, {1, 1, 7, 9, 9, 47, 55, 107, 491, 281, 777, 2187, 6179, 6607, 2151, 9093, 42873, 104677}},
+{20222, 18, 114628, {1, 1, 5, 3, 25, 3, 37, 55, 339, 619, 1227, 3859, 5593, 9639, 31199, 48155, 80779, 6497}},
+{20223, 18, 114640, {1, 1, 7, 1, 21, 49, 105, 45, 119, 635, 163, 3821, 3689, 11395, 19265, 14289, 89259, 167433}},
+{20224, 18, 114650, {1, 3, 3, 15, 29, 23, 11, 255, 425, 443, 1659, 3965, 4791, 10223, 11113, 48751, 7987, 166605}},
+{20225, 18, 114668, {1, 1, 7, 3, 7, 1, 113, 153, 233, 803, 539, 297, 4847, 11203, 29393, 54319, 94373, 173471}},
+{20226, 18, 114671, {1, 3, 3, 5, 27, 57, 23, 147, 423, 617, 103, 3369, 4825, 13613, 23635, 61977, 5331, 115243}},
+{20227, 18, 114674, {1, 3, 3, 9, 11, 47, 41, 27, 345, 657, 1873, 365, 1685, 11181, 31977, 60489, 98741, 215357}},
+{20228, 18, 114700, {1, 3, 1, 11, 19, 33, 39, 223, 151, 921, 309, 3413, 6735, 11971, 25583, 6927, 54821, 125203}},
+{20229, 18, 114731, {1, 1, 5, 1, 27, 31, 61, 247, 207, 895, 1453, 3613, 7097, 6537, 29407, 9903, 39937, 98285}},
+{20230, 18, 114748, {1, 3, 1, 5, 7, 11, 119, 7, 323, 27, 1069, 2033, 7387, 3381, 19007, 49039, 39453, 115411}},
+{20231, 18, 114759, {1, 1, 7, 3, 9, 15, 51, 139, 353, 857, 1829, 3955, 7669, 3961, 22805, 39879, 26677, 66865}},
+{20232, 18, 114766, {1, 3, 5, 7, 1, 11, 59, 95, 181, 645, 829, 3119, 3607, 5973, 12381, 41577, 79443, 226945}},
+{20233, 18, 114768, {1, 3, 3, 5, 3, 13, 91, 119, 103, 889, 703, 3005, 541, 7529, 12613, 14267, 70445, 217543}},
+{20234, 18, 114784, {1, 1, 5, 7, 17, 41, 5, 225, 85, 759, 1071, 2055, 1655, 14811, 25635, 50803, 58545, 105687}},
+{20235, 18, 114808, {1, 3, 5, 13, 3, 7, 77, 209, 139, 717, 985, 1085, 831, 11011, 27313, 46423, 29435, 207359}},
+{20236, 18, 114813, {1, 3, 1, 7, 27, 45, 39, 75, 311, 937, 1593, 1357, 4815, 1997, 1045, 48681, 49301, 155607}},
+{20237, 18, 114829, {1, 3, 5, 11, 21, 9, 111, 39, 447, 241, 1613, 1799, 4817, 1861, 1263, 63641, 92081, 252051}},
+{20238, 18, 114830, {1, 1, 1, 13, 31, 13, 39, 29, 349, 25, 1227, 2457, 3831, 7965, 16903, 25825, 62381, 101765}},
+{20239, 18, 114842, {1, 1, 3, 7, 15, 17, 5, 29, 83, 607, 931, 261, 1087, 16247, 10129, 7813, 5445, 167723}},
+{20240, 18, 114875, {1, 3, 5, 9, 15, 31, 69, 191, 139, 467, 1681, 1951, 7813, 4295, 18191, 11411, 15601, 13025}},
+{20241, 18, 114898, {1, 1, 1, 11, 29, 53, 97, 205, 281, 917, 1009, 913, 1003, 16085, 30339, 55753, 53099, 30697}},
+{20242, 18, 114903, {1, 1, 3, 15, 25, 35, 7, 227, 63, 251, 845, 843, 7117, 6021, 26917, 43611, 108643, 215471}},
+{20243, 18, 114913, {1, 1, 3, 11, 19, 29, 75, 5, 131, 37, 1185, 2387, 8161, 1621, 19887, 20525, 33067, 30869}},
+{20244, 18, 114928, {1, 1, 3, 3, 7, 37, 75, 159, 313, 17, 479, 2477, 7779, 309, 26095, 35693, 92561, 143151}},
+{20245, 18, 114937, {1, 1, 5, 9, 5, 29, 65, 223, 331, 1013, 37, 1813, 1379, 9277, 14681, 61687, 24763, 124669}},
+{20246, 18, 114958, {1, 3, 1, 1, 17, 47, 7, 219, 11, 13, 1517, 2583, 7483, 5399, 6883, 51387, 17901, 108659}},
+{20247, 18, 114963, {1, 3, 7, 11, 9, 63, 81, 91, 411, 535, 255, 3683, 5285, 1787, 27205, 43651, 15647, 230651}},
+{20248, 18, 115000, {1, 3, 1, 11, 7, 47, 35, 255, 341, 379, 421, 753, 7821, 13271, 13021, 463, 48457, 132521}},
+{20249, 18, 115018, {1, 1, 5, 7, 21, 23, 53, 229, 393, 509, 1641, 2245, 6941, 10447, 3231, 5451, 18883, 47401}},
+{20250, 18, 115023, {1, 3, 1, 7, 13, 61, 71, 49, 147, 625, 299, 3843, 4851, 3483, 27005, 23871, 18855, 124893}},
+{20251, 18, 115028, {1, 3, 1, 7, 31, 13, 127, 177, 259, 179, 531, 1775, 5481, 13157, 23821, 31773, 93941, 237697}},
+{20252, 18, 115042, {1, 1, 7, 1, 23, 21, 111, 219, 401, 455, 1603, 2077, 1537, 2063, 17821, 52087, 20707, 29535}},
+{20253, 18, 115084, {1, 1, 3, 11, 17, 17, 13, 79, 49, 353, 1691, 361, 2805, 7121, 27013, 50631, 108235, 70513}},
+{20254, 18, 115096, {1, 1, 5, 3, 15, 25, 103, 73, 377, 253, 1303, 501, 555, 15789, 16647, 9019, 60581, 157337}},
+{20255, 18, 115105, {1, 3, 5, 9, 23, 45, 3, 251, 25, 559, 429, 1091, 5657, 15387, 5113, 64533, 131049, 127587}},
+{20256, 18, 115117, {1, 1, 3, 15, 1, 53, 71, 141, 413, 849, 737, 3045, 7119, 8049, 18295, 31447, 70735, 117457}},
+{20257, 18, 115149, {1, 1, 1, 11, 17, 11, 69, 155, 211, 249, 1869, 1575, 6859, 7045, 7015, 20135, 84157, 232621}},
+{20258, 18, 115155, {1, 3, 7, 5, 19, 55, 15, 163, 457, 371, 1665, 1935, 601, 3629, 21975, 1191, 45133, 111649}},
+{20259, 18, 115198, {1, 3, 7, 11, 23, 33, 5, 253, 355, 379, 933, 1781, 3989, 6191, 19081, 7651, 74671, 258799}},
+{20260, 18, 115221, {1, 1, 3, 3, 23, 3, 63, 123, 273, 861, 369, 2409, 1505, 9059, 10727, 189, 122911, 44037}},
+{20261, 18, 115222, {1, 1, 7, 13, 13, 23, 19, 87, 191, 397, 2027, 1689, 1143, 10919, 27073, 15013, 118429, 119165}},
+{20262, 18, 115225, {1, 1, 5, 9, 15, 13, 29, 81, 409, 955, 1827, 1341, 3473, 16005, 29041, 57527, 7329, 167093}},
+{20263, 18, 115276, {1, 1, 5, 3, 11, 31, 47, 13, 171, 995, 961, 3885, 3259, 2745, 12405, 49281, 2901, 207591}},
+{20264, 18, 115294, {1, 3, 5, 13, 31, 3, 1, 215, 465, 279, 1697, 2449, 3829, 2053, 9877, 52911, 126077, 210515}},
+{20265, 18, 115297, {1, 1, 3, 7, 11, 27, 55, 115, 249, 353, 407, 2567, 8105, 7747, 18111, 3383, 101875, 2185}},
+{20266, 18, 115321, {1, 1, 3, 9, 25, 5, 35, 137, 405, 667, 1671, 2965, 5975, 4999, 18421, 43623, 64621, 129797}},
+{20267, 18, 115348, {1, 3, 7, 13, 3, 17, 33, 191, 463, 787, 1795, 3037, 1679, 63, 12389, 3983, 22385, 84235}},
+{20268, 18, 115364, {1, 1, 5, 9, 11, 25, 85, 215, 355, 553, 317, 1637, 3461, 15943, 2619, 14545, 125507, 18659}},
+{20269, 18, 115376, {1, 1, 7, 5, 3, 41, 105, 179, 125, 557, 1345, 3631, 481, 10621, 11213, 40223, 46581, 113137}},
+{20270, 18, 115385, {1, 3, 3, 15, 1, 63, 95, 213, 89, 21, 1249, 3063, 413, 4307, 26723, 10225, 115143, 144817}},
+{20271, 18, 115386, {1, 3, 5, 15, 9, 43, 41, 117, 419, 143, 1651, 377, 4775, 8761, 23793, 8719, 76499, 208119}},
+{20272, 18, 115400, {1, 3, 3, 1, 21, 29, 47, 117, 23, 333, 1153, 1067, 5859, 9375, 29997, 58991, 55895, 204933}},
+{20273, 18, 115414, {1, 1, 3, 11, 11, 21, 115, 85, 223, 281, 701, 1331, 1341, 1149, 5993, 10885, 77353, 113553}},
+{20274, 18, 115465, {1, 1, 5, 1, 25, 1, 1, 153, 449, 231, 593, 3061, 4157, 6661, 21735, 11361, 57751, 129569}},
+{20275, 18, 115485, {1, 1, 3, 7, 27, 63, 81, 251, 125, 197, 1525, 1637, 4643, 4743, 17127, 51217, 95781, 973}},
+{20276, 18, 115492, {1, 1, 3, 7, 11, 51, 13, 139, 83, 341, 543, 3061, 7777, 6705, 9609, 28933, 24669, 225275}},
+{20277, 18, 115501, {1, 3, 1, 9, 25, 39, 99, 139, 5, 725, 1759, 1577, 1751, 3197, 3169, 39051, 1743, 108813}},
+{20278, 18, 115519, {1, 1, 7, 5, 31, 15, 115, 229, 499, 291, 501, 3119, 2293, 14137, 625, 16379, 111057, 101643}},
+{20279, 18, 115527, {1, 3, 7, 15, 31, 1, 51, 73, 455, 51, 1983, 3687, 6049, 3495, 26247, 6567, 28479, 158909}},
+{20280, 18, 115531, {1, 3, 5, 5, 9, 11, 77, 181, 165, 773, 1611, 3945, 6787, 3827, 28597, 53269, 34003, 237291}},
+{20281, 18, 115567, {1, 1, 5, 3, 31, 57, 15, 9, 163, 363, 1021, 2193, 8175, 3851, 26059, 63915, 114293, 163637}},
+{20282, 18, 115572, {1, 1, 3, 7, 27, 49, 35, 121, 469, 833, 879, 1601, 6991, 13271, 8085, 45343, 5189, 109413}},
+{20283, 18, 115631, {1, 3, 1, 15, 7, 11, 111, 153, 129, 769, 565, 2693, 333, 7343, 28535, 56937, 85641, 19871}},
+{20284, 18, 115648, {1, 1, 5, 13, 7, 49, 121, 223, 55, 33, 19, 2291, 1847, 10173, 23337, 23431, 18181, 155663}},
+{20285, 18, 115660, {1, 3, 1, 11, 25, 9, 3, 255, 425, 861, 1025, 3719, 6995, 14687, 31083, 60609, 115375, 17813}},
+{20286, 18, 115672, {1, 1, 5, 13, 1, 55, 109, 239, 13, 939, 1077, 669, 1643, 10949, 25399, 55055, 125829, 253077}},
+{20287, 18, 115681, {1, 1, 5, 3, 15, 51, 13, 133, 257, 387, 2017, 2223, 1479, 9377, 12867, 9833, 32323, 6255}},
+{20288, 18, 115688, {1, 3, 1, 9, 1, 53, 121, 163, 349, 491, 1867, 3403, 6859, 459, 1483, 23893, 66851, 150843}},
+{20289, 18, 115694, {1, 1, 1, 1, 1, 33, 51, 33, 177, 633, 449, 2705, 663, 3701, 8331, 43895, 87223, 48587}},
+{20290, 18, 115699, {1, 3, 5, 7, 23, 7, 99, 43, 217, 31, 749, 2831, 1557, 3295, 6797, 45229, 46831, 62183}},
+{20291, 18, 115719, {1, 1, 7, 7, 1, 45, 35, 51, 415, 693, 479, 1017, 6703, 241, 30887, 8953, 26901, 2951}},
+{20292, 18, 115726, {1, 3, 3, 7, 29, 3, 25, 217, 67, 769, 653, 3983, 5513, 15481, 21399, 17525, 81747, 109843}},
+{20293, 18, 115733, {1, 3, 5, 5, 29, 17, 97, 187, 157, 189, 1531, 1123, 4291, 14831, 15493, 62753, 53563, 153679}},
+{20294, 18, 115796, {1, 3, 7, 13, 15, 63, 47, 5, 351, 275, 1177, 3947, 6755, 1319, 17053, 14267, 98215, 228795}},
+{20295, 18, 115879, {1, 3, 7, 5, 19, 45, 43, 223, 213, 903, 539, 267, 83, 6951, 2979, 56929, 58405, 198373}},
+{20296, 18, 115880, {1, 1, 5, 11, 21, 37, 109, 103, 29, 49, 17, 3987, 5679, 2559, 17391, 46157, 38743, 82245}},
+{20297, 18, 115888, {1, 1, 3, 7, 7, 35, 57, 187, 113, 361, 721, 1821, 6473, 10233, 22549, 37725, 8445, 220669}},
+{20298, 18, 115908, {1, 3, 3, 9, 21, 41, 73, 29, 163, 701, 1277, 3869, 1529, 4889, 10091, 65507, 53829, 191347}},
+{20299, 18, 115925, {1, 1, 5, 15, 5, 21, 39, 39, 341, 271, 1543, 3161, 3935, 8319, 24921, 19575, 95009, 256221}},
+{20300, 18, 115942, {1, 1, 1, 3, 11, 33, 63, 189, 21, 773, 1261, 3947, 183, 6769, 31337, 22179, 57255, 8323}},
+{20301, 18, 115978, {1, 1, 3, 15, 29, 59, 103, 251, 107, 499, 915, 387, 3127, 5597, 3345, 15657, 979, 91685}},
+{20302, 18, 115986, {1, 3, 3, 11, 13, 27, 9, 137, 177, 75, 567, 1511, 7355, 3087, 15309, 51733, 87329, 217125}},
+{20303, 18, 116014, {1, 1, 1, 15, 9, 43, 113, 177, 507, 379, 765, 75, 6895, 7523, 24611, 7315, 49653, 59263}},
+{20304, 18, 116019, {1, 3, 1, 5, 29, 23, 59, 215, 267, 161, 1957, 341, 4081, 9635, 3345, 12323, 128751, 144577}},
+{20305, 18, 116031, {1, 3, 3, 13, 17, 55, 59, 73, 65, 697, 1209, 3345, 5629, 4545, 23043, 37649, 55015, 10263}},
+{20306, 18, 116048, {1, 1, 7, 1, 21, 3, 7, 19, 445, 417, 1677, 799, 1241, 15463, 19815, 52845, 81309, 256713}},
+{20307, 18, 116069, {1, 1, 3, 13, 13, 57, 17, 199, 3, 377, 1799, 2713, 3937, 12511, 7439, 33605, 56697, 168195}},
+{20308, 18, 116091, {1, 3, 1, 7, 21, 53, 115, 97, 389, 83, 961, 813, 1499, 3411, 22377, 33323, 118405, 115947}},
+{20309, 18, 116103, {1, 3, 7, 11, 23, 43, 85, 249, 151, 893, 833, 901, 7731, 13467, 14721, 38613, 104033, 136097}},
+{20310, 18, 116107, {1, 3, 1, 11, 23, 23, 119, 129, 175, 159, 1031, 2379, 2753, 6755, 10979, 18225, 52375, 257003}},
+{20311, 18, 116145, {1, 3, 1, 13, 1, 9, 61, 255, 433, 621, 1469, 705, 5841, 7421, 23873, 30487, 55823, 119705}},
+{20312, 18, 116152, {1, 3, 1, 15, 19, 31, 29, 163, 87, 793, 885, 2495, 4609, 2757, 5333, 52937, 79187, 228777}},
+{20313, 18, 116247, {1, 1, 1, 3, 17, 43, 69, 241, 143, 173, 327, 2747, 5617, 16347, 16155, 47775, 25917, 163663}},
+{20314, 18, 116289, {1, 1, 1, 1, 19, 19, 15, 27, 25, 139, 691, 4019, 3055, 10301, 11281, 10957, 59117, 178149}},
+{20315, 18, 116316, {1, 1, 1, 3, 15, 15, 37, 89, 103, 7, 527, 2823, 7205, 6831, 25179, 22249, 103323, 31251}},
+{20316, 18, 116344, {1, 1, 3, 3, 7, 49, 7, 241, 37, 11, 577, 1987, 1935, 14787, 16411, 36305, 65185, 221253}},
+{20317, 18, 116354, {1, 1, 1, 5, 31, 51, 123, 169, 441, 13, 721, 2359, 5687, 2641, 16339, 8441, 55967, 98775}},
+{20318, 18, 116368, {1, 1, 7, 5, 21, 23, 91, 229, 23, 105, 339, 2371, 7803, 14913, 12651, 40573, 117399, 134865}},
+{20319, 18, 116377, {1, 3, 1, 15, 19, 27, 127, 77, 469, 343, 451, 2251, 6705, 7765, 8623, 10367, 100379, 140899}},
+{20320, 18, 116383, {1, 3, 1, 5, 1, 11, 93, 231, 33, 133, 1545, 1015, 7577, 8871, 29975, 12141, 130833, 103123}},
+{20321, 18, 116387, {1, 3, 3, 5, 7, 25, 95, 93, 293, 543, 1785, 2097, 6045, 4225, 607, 443, 72055, 32269}},
+{20322, 18, 116408, {1, 1, 1, 1, 5, 55, 47, 105, 189, 359, 1589, 765, 2303, 11963, 25565, 40669, 98977, 242089}},
+{20323, 18, 116428, {1, 1, 1, 15, 13, 45, 121, 235, 125, 181, 1891, 3265, 2097, 3207, 31647, 13407, 22515, 15155}},
+{20324, 18, 116445, {1, 1, 5, 15, 13, 11, 81, 233, 307, 505, 221, 813, 6483, 741, 9819, 19405, 74235, 144761}},
+{20325, 18, 116476, {1, 3, 5, 7, 9, 25, 31, 209, 337, 473, 1831, 2711, 5551, 13531, 28747, 1875, 6401, 159995}},
+{20326, 18, 116482, {1, 1, 7, 7, 29, 3, 127, 207, 387, 849, 1449, 2741, 2105, 885, 18115, 5433, 122119, 16969}},
+{20327, 18, 116488, {1, 3, 7, 9, 25, 17, 43, 209, 41, 927, 409, 1567, 1609, 12487, 16305, 41365, 10991, 172127}},
+{20328, 18, 116493, {1, 1, 3, 7, 27, 29, 63, 127, 81, 283, 1459, 143, 5993, 14027, 8055, 28065, 128389, 255307}},
+{20329, 18, 116502, {1, 3, 7, 11, 13, 41, 63, 223, 215, 901, 1853, 2881, 5149, 7439, 4519, 33279, 127765, 139431}},
+{20330, 18, 116518, {1, 3, 7, 7, 15, 61, 61, 173, 221, 711, 191, 3863, 2695, 9663, 6277, 8791, 128019, 256755}},
+{20331, 18, 116524, {1, 3, 1, 9, 29, 45, 83, 43, 297, 605, 1887, 2421, 2307, 5199, 17275, 39225, 127215, 253687}},
+{20332, 18, 116527, {1, 1, 5, 3, 21, 23, 121, 125, 497, 945, 1367, 2757, 3481, 8607, 32447, 62373, 32171, 226621}},
+{20333, 18, 116549, {1, 3, 1, 5, 7, 1, 71, 255, 465, 951, 129, 1989, 6053, 3737, 6511, 54519, 16947, 124491}},
+{20334, 18, 116561, {1, 3, 5, 1, 9, 21, 127, 49, 85, 615, 1897, 1715, 7923, 10309, 16919, 24131, 18015, 140195}},
+{20335, 18, 116562, {1, 1, 1, 1, 5, 27, 3, 205, 29, 319, 485, 3941, 7829, 789, 4207, 39939, 67761, 152459}},
+{20336, 18, 116568, {1, 3, 7, 11, 9, 41, 1, 129, 511, 831, 1007, 2011, 6211, 9179, 20877, 62121, 21879, 23661}},
+{20337, 18, 116577, {1, 1, 7, 1, 19, 53, 75, 123, 181, 735, 925, 1065, 3317, 3201, 27473, 19379, 78223, 45725}},
+{20338, 18, 116590, {1, 1, 5, 9, 9, 61, 3, 193, 441, 815, 583, 3235, 247, 14091, 19877, 33505, 3477, 20111}},
+{20339, 18, 116602, {1, 1, 5, 13, 29, 53, 55, 165, 359, 889, 1833, 1543, 7913, 307, 22853, 37839, 15569, 140127}},
+{20340, 18, 116607, {1, 1, 1, 15, 21, 53, 63, 195, 299, 1019, 1371, 1311, 5401, 8015, 30335, 56281, 61011, 59279}},
+{20341, 18, 116611, {1, 1, 3, 13, 3, 57, 45, 239, 445, 419, 581, 3971, 4621, 9327, 27255, 53069, 126415, 250313}},
+{20342, 18, 116626, {1, 3, 1, 9, 5, 63, 21, 25, 447, 961, 1857, 3123, 3029, 9743, 26069, 38251, 58475, 108737}},
+{20343, 18, 116637, {1, 3, 1, 15, 13, 59, 5, 21, 171, 107, 1631, 2407, 6695, 8079, 2805, 50995, 53173, 104757}},
+{20344, 18, 116647, {1, 3, 7, 7, 1, 55, 103, 67, 369, 533, 515, 2363, 5147, 11633, 20435, 24591, 68155, 140029}},
+{20345, 18, 116665, {1, 3, 7, 13, 19, 51, 13, 149, 159, 915, 1029, 2825, 5259, 5139, 31325, 42825, 119923, 227811}},
+{20346, 18, 116674, {1, 3, 3, 3, 23, 17, 121, 25, 403, 333, 491, 2869, 881, 12997, 5101, 48351, 90831, 143009}},
+{20347, 18, 116700, {1, 1, 3, 15, 23, 63, 93, 43, 107, 393, 419, 3509, 1543, 10295, 11019, 8389, 73753, 42681}},
+{20348, 18, 116714, {1, 1, 7, 1, 29, 49, 41, 189, 303, 955, 1241, 1623, 2269, 3413, 6261, 2155, 90945, 95117}},
+{20349, 18, 116719, {1, 1, 3, 15, 31, 13, 103, 241, 189, 283, 1303, 1693, 1587, 16313, 205, 43421, 121799, 200151}},
+{20350, 18, 116744, {1, 3, 5, 1, 29, 27, 105, 83, 345, 411, 1197, 3489, 5891, 1137, 7311, 681, 127991, 69533}},
+{20351, 18, 116764, {1, 3, 5, 15, 31, 11, 105, 221, 57, 39, 145, 3233, 1431, 16271, 21225, 47989, 72583, 191327}},
+{20352, 18, 116774, {1, 3, 7, 9, 25, 47, 109, 61, 257, 949, 981, 1383, 8003, 4661, 19555, 20191, 114641, 84817}},
+{20353, 18, 116778, {1, 1, 5, 9, 17, 9, 19, 209, 73, 573, 1039, 2741, 1495, 1615, 6299, 20507, 84729, 166977}},
+{20354, 18, 116798, {1, 3, 5, 13, 27, 51, 39, 203, 437, 725, 1479, 3071, 621, 15563, 28473, 58403, 25943, 116683}},
+{20355, 18, 116803, {1, 1, 3, 9, 5, 29, 63, 61, 329, 305, 523, 2243, 6689, 11773, 19319, 57783, 24265, 218153}},
+{20356, 18, 116806, {1, 3, 7, 5, 17, 27, 115, 9, 243, 613, 679, 1915, 7265, 2989, 13663, 15115, 50779, 235761}},
+{20357, 18, 116827, {1, 1, 5, 5, 13, 35, 111, 151, 255, 569, 1209, 3277, 4503, 3797, 22601, 19523, 126339, 141289}},
+{20358, 18, 116839, {1, 1, 3, 9, 15, 51, 85, 125, 233, 1011, 231, 2949, 1091, 8605, 14855, 62401, 14143, 212557}},
+{20359, 18, 116863, {1, 3, 5, 11, 29, 53, 83, 31, 201, 219, 1083, 967, 6913, 10325, 1971, 55841, 7733, 208883}},
+{20360, 18, 116873, {1, 3, 3, 1, 23, 33, 51, 103, 265, 285, 1363, 2813, 3327, 7921, 13537, 31483, 43405, 189641}},
+{20361, 18, 116882, {1, 1, 7, 15, 27, 3, 5, 87, 117, 437, 1251, 189, 3271, 15579, 25025, 23203, 39421, 133581}},
+{20362, 18, 116887, {1, 1, 5, 1, 9, 3, 91, 45, 71, 557, 2019, 2355, 5539, 2843, 13025, 61017, 3475, 179891}},
+{20363, 18, 116915, {1, 1, 7, 5, 17, 11, 127, 241, 9, 971, 1699, 2719, 1947, 109, 19817, 13949, 120247, 60775}},
+{20364, 18, 116939, {1, 1, 5, 9, 9, 39, 117, 221, 197, 767, 1691, 4075, 3665, 1271, 16119, 64129, 2681, 105325}},
+{20365, 18, 116944, {1, 3, 3, 11, 31, 51, 5, 23, 419, 715, 1985, 4095, 7255, 10491, 25575, 6177, 35917, 178345}},
+{20366, 18, 116953, {1, 3, 5, 7, 15, 23, 99, 203, 461, 509, 1501, 1965, 1105, 1341, 21713, 21901, 129905, 67937}},
+{20367, 18, 116965, {1, 3, 3, 15, 25, 5, 55, 167, 477, 125, 163, 2379, 2433, 12975, 26259, 55825, 19913, 202873}},
+{20368, 18, 117002, {1, 3, 3, 7, 15, 15, 67, 227, 413, 905, 1609, 2083, 4011, 10477, 22809, 61873, 96423, 119253}},
+{20369, 18, 117007, {1, 3, 1, 11, 13, 17, 37, 147, 355, 445, 619, 3181, 5939, 6953, 15859, 37979, 24723, 133037}},
+{20370, 18, 117015, {1, 1, 5, 15, 5, 25, 89, 3, 279, 569, 343, 2453, 5739, 2901, 6709, 43957, 75791, 20791}},
+{20371, 18, 117032, {1, 1, 3, 5, 13, 39, 53, 203, 75, 945, 635, 349, 2339, 2549, 23827, 7903, 128005, 14949}},
+{20372, 18, 117035, {1, 1, 7, 3, 7, 59, 59, 77, 143, 99, 1313, 3957, 3807, 15731, 20919, 60829, 105967, 226767}},
+{20373, 18, 117052, {1, 1, 3, 7, 17, 49, 27, 245, 129, 583, 1055, 741, 5607, 689, 20075, 54837, 113257, 222677}},
+{20374, 18, 117087, {1, 1, 7, 13, 17, 5, 19, 141, 205, 749, 1769, 2981, 5787, 4511, 135, 19475, 113735, 116859}},
+{20375, 18, 117139, {1, 3, 7, 1, 9, 33, 111, 139, 77, 117, 363, 1171, 2587, 1539, 30791, 10697, 6879, 104827}},
+{20376, 18, 117157, {1, 3, 3, 5, 27, 47, 49, 215, 65, 435, 1601, 231, 2047, 10405, 28409, 17013, 103909, 232051}},
+{20377, 18, 117193, {1, 3, 3, 3, 13, 19, 3, 159, 293, 675, 247, 2829, 6703, 6085, 1935, 18209, 15709, 186669}},
+{20378, 18, 117211, {1, 3, 3, 5, 21, 55, 17, 237, 121, 603, 953, 947, 6973, 15979, 11029, 12381, 12807, 131603}},
+{20379, 18, 117214, {1, 3, 5, 3, 3, 41, 121, 203, 283, 349, 1841, 115, 6567, 2131, 883, 50515, 78381, 168189}},
+{20380, 18, 117220, {1, 3, 7, 15, 5, 55, 85, 13, 77, 443, 1711, 1043, 1265, 3701, 5121, 41435, 40637, 69125}},
+{20381, 18, 117238, {1, 1, 5, 15, 15, 33, 67, 235, 3, 95, 1685, 731, 2187, 11857, 7197, 62113, 12565, 127455}},
+{20382, 18, 117248, {1, 3, 7, 7, 11, 45, 125, 231, 263, 611, 221, 195, 6347, 14029, 7823, 52295, 78879, 211441}},
+{20383, 18, 117275, {1, 3, 7, 15, 9, 63, 75, 189, 187, 449, 27, 3647, 4705, 13037, 3773, 36441, 35445, 181793}},
+{20384, 18, 117293, {1, 1, 5, 3, 31, 19, 123, 39, 297, 1017, 1191, 2227, 6085, 5117, 16569, 64743, 29329, 157279}},
+{20385, 18, 117301, {1, 1, 5, 5, 15, 47, 111, 61, 435, 657, 141, 3445, 6921, 7759, 30141, 37631, 85969, 227563}},
+{20386, 18, 117319, {1, 3, 1, 13, 27, 39, 15, 167, 151, 185, 1513, 211, 951, 12705, 25703, 29289, 120993, 156741}},
+{20387, 18, 117338, {1, 3, 7, 7, 7, 39, 19, 221, 351, 951, 1231, 1915, 3043, 189, 18977, 50149, 56583, 122147}},
+{20388, 18, 117347, {1, 1, 5, 15, 29, 37, 77, 207, 291, 851, 131, 1041, 1657, 4393, 5023, 12745, 32253, 204431}},
+{20389, 18, 117361, {1, 1, 7, 15, 11, 59, 85, 255, 67, 23, 1321, 2153, 7043, 417, 15719, 59937, 37619, 109331}},
+{20390, 18, 117380, {1, 3, 7, 15, 25, 37, 43, 15, 385, 735, 1741, 3655, 4215, 1097, 19519, 44313, 99851, 204717}},
+{20391, 18, 117389, {1, 1, 3, 7, 15, 17, 17, 105, 399, 49, 105, 159, 465, 11991, 29797, 23907, 129609, 179013}},
+{20392, 18, 117398, {1, 1, 7, 13, 9, 17, 87, 51, 391, 695, 545, 3061, 4499, 2059, 10095, 13847, 68519, 60611}},
+{20393, 18, 117435, {1, 3, 3, 1, 31, 7, 11, 233, 231, 189, 1599, 1589, 401, 8759, 17273, 43613, 48709, 253521}},
+{20394, 18, 117458, {1, 1, 1, 11, 5, 9, 27, 77, 491, 951, 579, 1635, 3241, 14497, 27149, 45001, 56769, 160731}},
+{20395, 18, 117476, {1, 3, 7, 15, 29, 11, 125, 101, 19, 971, 107, 1525, 3939, 7633, 16355, 24727, 19475, 157571}},
+{20396, 18, 117498, {1, 1, 1, 9, 25, 7, 35, 187, 321, 483, 1919, 1911, 7869, 12903, 26977, 49419, 24973, 214731}},
+{20397, 18, 117500, {1, 1, 5, 3, 23, 1, 11, 143, 315, 1015, 1367, 1555, 1041, 6655, 10481, 49275, 49575, 101061}},
+{20398, 18, 117529, {1, 3, 5, 15, 15, 59, 13, 117, 217, 975, 1821, 3829, 1545, 921, 20875, 43305, 18793, 158651}},
+{20399, 18, 117554, {1, 3, 3, 11, 23, 23, 91, 7, 29, 613, 1093, 3881, 3301, 3751, 16137, 48277, 119813, 177341}},
+{20400, 18, 117556, {1, 3, 3, 15, 7, 37, 115, 19, 147, 585, 1877, 2395, 3343, 9567, 16199, 13969, 89731, 124835}},
+{20401, 18, 117565, {1, 1, 5, 7, 29, 3, 59, 141, 375, 527, 1219, 409, 7155, 2823, 32497, 23103, 73187, 53089}},
+{20402, 18, 117580, {1, 1, 5, 3, 13, 27, 111, 63, 189, 813, 643, 19, 3461, 13891, 26651, 52395, 74729, 148397}},
+{20403, 18, 117585, {1, 3, 5, 1, 27, 61, 97, 227, 123, 829, 1559, 2523, 7737, 6047, 213, 23613, 61571, 7093}},
+{20404, 18, 117592, {1, 1, 1, 11, 17, 1, 73, 203, 391, 937, 321, 3431, 7163, 3547, 29467, 65271, 69775, 226405}},
+{20405, 18, 117597, {1, 1, 5, 15, 25, 7, 75, 199, 511, 731, 1547, 2127, 1609, 5623, 26771, 29935, 76671, 178683}},
+{20406, 18, 117616, {1, 3, 5, 15, 25, 49, 99, 23, 281, 81, 507, 1499, 5235, 9945, 14099, 5993, 319, 178581}},
+{20407, 18, 117637, {1, 3, 7, 9, 5, 13, 105, 7, 135, 827, 927, 3463, 839, 7047, 19863, 63859, 13951, 221795}},
+{20408, 18, 117644, {1, 1, 1, 13, 7, 21, 59, 9, 467, 299, 1035, 1395, 7413, 7313, 24769, 44043, 50679, 72867}},
+{20409, 18, 117659, {1, 1, 7, 1, 31, 33, 95, 155, 429, 413, 493, 2025, 2069, 551, 507, 13515, 3507, 93873}},
+{20410, 18, 117703, {1, 1, 3, 5, 3, 33, 109, 1, 299, 727, 495, 2981, 3795, 11467, 27173, 4171, 6859, 129961}},
+{20411, 18, 117704, {1, 1, 7, 9, 23, 41, 113, 103, 161, 303, 1565, 2637, 7113, 11635, 13707, 3559, 21007, 250107}},
+{20412, 18, 117727, {1, 1, 5, 13, 1, 49, 11, 87, 31, 77, 1847, 1137, 3031, 1943, 28755, 32197, 96043, 152447}},
+{20413, 18, 117738, {1, 1, 3, 7, 3, 3, 123, 65, 175, 809, 681, 2135, 5279, 7119, 4573, 19287, 90235, 183391}},
+{20414, 18, 117770, {1, 3, 1, 13, 7, 5, 25, 151, 437, 155, 1841, 219, 5641, 12097, 6153, 11, 60315, 169293}},
+{20415, 18, 117796, {1, 1, 7, 5, 21, 29, 23, 83, 35, 651, 1507, 635, 3867, 12133, 25523, 55341, 105741, 240349}},
+{20416, 18, 117799, {1, 1, 1, 15, 9, 29, 27, 151, 463, 747, 547, 577, 1263, 15235, 6695, 60849, 72231, 175671}},
+{20417, 18, 117820, {1, 3, 5, 11, 11, 43, 81, 37, 505, 509, 1325, 3295, 839, 5855, 19795, 1403, 15711, 219481}},
+{20418, 18, 117832, {1, 3, 3, 15, 25, 61, 121, 37, 201, 133, 537, 1345, 4213, 13023, 18795, 8949, 84431, 105521}},
+{20419, 18, 117840, {1, 3, 7, 11, 13, 51, 87, 245, 357, 7, 699, 2003, 5963, 1399, 69, 19083, 114585, 232313}},
+{20420, 18, 117843, {1, 1, 1, 13, 9, 29, 65, 123, 37, 885, 227, 2795, 1037, 10905, 21217, 4081, 77643, 254245}},
+{20421, 18, 117865, {1, 3, 1, 3, 25, 23, 71, 189, 253, 785, 1337, 1275, 3285, 1067, 8607, 3883, 119099, 116637}},
+{20422, 18, 117868, {1, 1, 1, 15, 19, 43, 17, 89, 257, 175, 1943, 207, 597, 9279, 405, 33209, 65221, 39557}},
+{20423, 18, 117874, {1, 1, 7, 5, 7, 47, 127, 11, 197, 871, 23, 1951, 6829, 7831, 5223, 56287, 115649, 114283}},
+{20424, 18, 117886, {1, 3, 1, 3, 1, 35, 81, 189, 19, 117, 1683, 469, 8117, 5449, 22871, 5505, 125111, 128717}},
+{20425, 18, 117962, {1, 3, 7, 5, 7, 31, 105, 57, 387, 691, 1293, 3103, 2329, 16247, 18357, 55453, 112633, 225641}},
+{20426, 18, 117967, {1, 3, 1, 3, 13, 3, 65, 25, 47, 413, 521, 3507, 1793, 14431, 22341, 39813, 46399, 204501}},
+{20427, 18, 117995, {1, 3, 1, 1, 31, 37, 21, 45, 261, 665, 1243, 1937, 5001, 3789, 26473, 20153, 107131, 75523}},
+{20428, 18, 118000, {1, 3, 5, 15, 27, 61, 109, 139, 19, 583, 353, 445, 53, 67, 20753, 57827, 116527, 55109}},
+{20429, 18, 118017, {1, 1, 3, 3, 1, 37, 113, 21, 305, 967, 1703, 2095, 1059, 2843, 22381, 24871, 24765, 52425}},
+{20430, 18, 118037, {1, 3, 7, 11, 27, 59, 111, 111, 283, 79, 1227, 3631, 4169, 5671, 7769, 56553, 75503, 206259}},
+{20431, 18, 118038, {1, 1, 5, 11, 11, 1, 127, 13, 17, 255, 1383, 2879, 6785, 289, 7061, 53067, 11539, 131405}},
+{20432, 18, 118051, {1, 1, 5, 15, 29, 27, 67, 15, 247, 689, 579, 3237, 5279, 13847, 20305, 60237, 115841, 144855}},
+{20433, 18, 118057, {1, 1, 5, 1, 9, 25, 75, 11, 83, 1015, 281, 1617, 7449, 10673, 7033, 38839, 113703, 233101}},
+{20434, 18, 118072, {1, 3, 3, 3, 23, 41, 81, 109, 199, 969, 935, 1793, 6921, 4013, 9625, 48149, 54395, 1193}},
+{20435, 18, 118080, {1, 3, 5, 7, 19, 63, 25, 201, 63, 799, 765, 533, 1417, 3199, 7773, 44247, 112207, 11783}},
+{20436, 18, 118098, {1, 3, 1, 11, 7, 25, 87, 159, 491, 749, 1157, 667, 2951, 12019, 22259, 36933, 124159, 176041}},
+{20437, 18, 118107, {1, 1, 5, 15, 21, 19, 113, 175, 129, 385, 2025, 2685, 1925, 8547, 4835, 15953, 128023, 236341}},
+{20438, 18, 118109, {1, 1, 1, 9, 13, 47, 25, 81, 389, 249, 1857, 1061, 4439, 3717, 16299, 23247, 95275, 222701}},
+{20439, 18, 118114, {1, 3, 3, 1, 3, 61, 61, 117, 159, 689, 43, 113, 4203, 7699, 27607, 37195, 63415, 90481}},
+{20440, 18, 118123, {1, 3, 1, 5, 11, 49, 73, 13, 307, 655, 645, 2765, 6079, 12687, 22417, 44713, 5247, 40265}},
+{20441, 18, 118150, {1, 1, 7, 13, 5, 55, 57, 237, 317, 101, 481, 2515, 707, 6385, 9421, 50557, 92395, 193737}},
+{20442, 18, 118159, {1, 3, 5, 1, 27, 35, 65, 107, 63, 57, 1699, 4077, 4279, 8547, 15137, 11533, 117641, 64925}},
+{20443, 18, 118164, {1, 1, 5, 1, 13, 7, 7, 141, 305, 191, 2033, 2677, 6025, 12927, 4057, 12047, 60253, 90803}},
+{20444, 18, 118173, {1, 1, 7, 3, 1, 9, 63, 233, 185, 97, 913, 187, 4321, 8951, 27669, 27035, 30029, 218725}},
+{20445, 18, 118201, {1, 1, 7, 1, 11, 59, 41, 195, 335, 551, 491, 3079, 7777, 4003, 24543, 17165, 103261, 167505}},
+{20446, 18, 118212, {1, 1, 3, 3, 9, 59, 37, 185, 289, 845, 1083, 63, 7439, 4677, 29245, 40813, 16295, 45499}},
+{20447, 18, 118246, {1, 3, 5, 1, 1, 37, 89, 5, 277, 493, 155, 1641, 5395, 11389, 26247, 2833, 103803, 74447}},
+{20448, 18, 118257, {1, 1, 3, 1, 29, 55, 83, 211, 377, 583, 1075, 2679, 7157, 11719, 1653, 5977, 52263, 45531}},
+{20449, 18, 118303, {1, 1, 5, 15, 1, 31, 89, 7, 239, 821, 887, 1319, 225, 14555, 5443, 44717, 99803, 241577}},
+{20450, 18, 118310, {1, 3, 5, 11, 7, 23, 81, 161, 67, 1011, 177, 2837, 7767, 14385, 29415, 9377, 7407, 128403}},
+{20451, 18, 118313, {1, 1, 7, 11, 3, 13, 13, 237, 199, 601, 481, 3809, 6591, 8497, 25361, 22547, 28317, 22961}},
+{20452, 18, 118324, {1, 3, 1, 1, 31, 29, 105, 161, 483, 391, 321, 1087, 4149, 8803, 22291, 24611, 114447, 33645}},
+{20453, 18, 118334, {1, 3, 1, 11, 1, 47, 41, 45, 287, 503, 169, 2265, 1835, 6609, 25245, 7069, 61137, 160653}},
+{20454, 18, 118336, {1, 1, 7, 13, 11, 39, 29, 39, 489, 205, 741, 2871, 377, 10679, 11689, 50947, 85309, 95697}},
+{20455, 18, 118339, {1, 3, 7, 7, 23, 19, 103, 15, 79, 425, 369, 2009, 4417, 11031, 2113, 36969, 73241, 120903}},
+{20456, 18, 118353, {1, 3, 1, 7, 27, 9, 43, 33, 123, 895, 223, 1045, 2701, 3339, 12099, 24449, 52973, 175671}},
+{20457, 18, 118354, {1, 3, 5, 5, 3, 1, 13, 117, 429, 167, 1361, 2299, 7565, 1153, 9259, 29209, 25747, 71005}},
+{20458, 18, 118390, {1, 3, 1, 15, 7, 7, 13, 209, 73, 523, 1549, 2545, 5583, 10209, 27205, 41243, 14217, 208993}},
+{20459, 18, 118396, {1, 3, 5, 5, 3, 29, 99, 255, 479, 297, 1319, 2171, 7321, 14425, 15869, 44449, 10917, 171165}},
+{20460, 18, 118436, {1, 3, 3, 11, 13, 49, 29, 95, 79, 987, 161, 859, 6503, 8839, 14131, 30249, 16183, 40257}},
+{20461, 18, 118453, {1, 3, 3, 11, 27, 7, 27, 33, 255, 847, 789, 3897, 2599, 16107, 22379, 1853, 102713, 197547}},
+{20462, 18, 118466, {1, 1, 3, 9, 29, 11, 107, 227, 35, 183, 639, 1585, 313, 1451, 19789, 13855, 94277, 85569}},
+{20463, 18, 118492, {1, 3, 7, 7, 25, 33, 101, 49, 137, 457, 2027, 3317, 1961, 6097, 739, 12875, 69503, 95453}},
+{20464, 18, 118506, {1, 3, 3, 11, 29, 13, 127, 3, 31, 319, 1341, 927, 5067, 13891, 31265, 41381, 49341, 160343}},
+{20465, 18, 118525, {1, 1, 3, 15, 31, 21, 93, 155, 471, 707, 1395, 2995, 867, 10353, 8137, 44267, 24823, 6113}},
+{20466, 18, 118557, {1, 3, 1, 7, 7, 33, 83, 79, 349, 687, 1045, 1183, 4441, 15199, 1953, 36395, 84691, 134939}},
+{20467, 18, 118561, {1, 1, 3, 15, 13, 21, 41, 105, 189, 439, 1171, 4005, 7641, 1597, 24317, 58749, 35539, 220647}},
+{20468, 18, 118586, {1, 1, 3, 15, 13, 39, 49, 5, 461, 613, 1633, 1951, 7959, 5733, 10061, 18829, 49505, 90033}},
+{20469, 18, 118606, {1, 3, 5, 5, 29, 25, 19, 227, 379, 525, 687, 2629, 7729, 4791, 5911, 14481, 49063, 216669}},
+{20470, 18, 118627, {1, 3, 7, 7, 7, 63, 93, 227, 79, 165, 1971, 1695, 4485, 6009, 8769, 12861, 83653, 27667}},
+{20471, 18, 118641, {1, 1, 5, 5, 25, 11, 23, 89, 363, 491, 459, 4063, 3787, 9375, 28011, 44757, 56441, 116609}},
+{20472, 18, 118654, {1, 3, 5, 9, 7, 53, 43, 149, 435, 35, 135, 1759, 3197, 7749, 12731, 28295, 25901, 125847}},
+{20473, 18, 118687, {1, 1, 3, 5, 15, 15, 1, 215, 307, 711, 1971, 2795, 677, 11921, 10303, 37997, 6653, 51295}},
+{20474, 18, 118688, {1, 1, 5, 15, 1, 59, 75, 195, 51, 215, 1303, 3023, 8023, 10951, 13015, 23513, 37029, 23581}},
+{20475, 18, 118735, {1, 1, 1, 3, 27, 3, 77, 165, 97, 499, 937, 1129, 6649, 11305, 27763, 32849, 78251, 210407}},
+{20476, 18, 118737, {1, 3, 3, 3, 9, 21, 19, 197, 339, 53, 1875, 1057, 3485, 14645, 13417, 39307, 81437, 45857}},
+{20477, 18, 118750, {1, 1, 1, 5, 19, 5, 95, 205, 399, 699, 819, 1927, 7913, 8109, 1223, 28595, 397, 81051}},
+{20478, 18, 118773, {1, 3, 7, 13, 23, 11, 37, 167, 189, 813, 1199, 3545, 655, 13239, 10469, 33895, 119025, 185361}},
+{20479, 18, 118778, {1, 1, 5, 11, 9, 13, 41, 37, 443, 269, 1199, 1347, 7081, 11273, 14389, 64083, 117901, 51903}},
+{20480, 18, 118786, {1, 1, 3, 13, 5, 17, 117, 151, 155, 637, 731, 1839, 855, 9749, 19529, 18101, 20341, 21941}},
+{20481, 18, 118809, {1, 1, 1, 11, 15, 17, 35, 9, 91, 907, 667, 853, 1455, 10097, 31277, 749, 47089, 219517}},
+{20482, 18, 118833, {1, 3, 7, 1, 27, 31, 9, 145, 309, 811, 5, 2645, 7851, 1953, 21427, 18805, 108755, 77215}},
+{20483, 18, 118853, {1, 1, 7, 3, 21, 7, 25, 233, 145, 1015, 43, 2205, 4735, 13257, 24001, 50469, 42567, 253745}},
+{20484, 18, 118854, {1, 3, 1, 15, 3, 53, 51, 45, 397, 379, 641, 895, 7569, 15783, 23923, 6147, 121395, 261853}},
+{20485, 18, 118863, {1, 1, 1, 1, 23, 47, 35, 125, 289, 65, 1875, 2309, 519, 5435, 5271, 25319, 14557, 19389}},
+{20486, 18, 118881, {1, 3, 5, 7, 27, 43, 15, 61, 357, 791, 1781, 3671, 3911, 1325, 5607, 44107, 67873, 119849}},
+{20487, 18, 118896, {1, 3, 1, 5, 25, 37, 105, 51, 491, 407, 475, 1763, 1425, 14883, 31435, 48979, 120667, 131089}},
+{20488, 18, 118917, {1, 3, 5, 13, 1, 51, 109, 161, 215, 871, 185, 2389, 7977, 6705, 14045, 45569, 44557, 114795}},
+{20489, 18, 118921, {1, 3, 7, 11, 17, 21, 111, 183, 343, 593, 447, 3995, 759, 3709, 32655, 30141, 127225, 120899}},
+{20490, 18, 118939, {1, 1, 5, 3, 17, 3, 69, 25, 113, 897, 1933, 2717, 2003, 5847, 2541, 62415, 50975, 97903}},
+{20491, 18, 118948, {1, 1, 1, 1, 9, 35, 107, 81, 257, 57, 1719, 4049, 1237, 10659, 4689, 20887, 90791, 251911}},
+{20492, 18, 118960, {1, 1, 7, 11, 1, 49, 83, 213, 169, 169, 825, 2983, 5833, 2413, 32165, 47459, 129021, 156217}},
+{20493, 18, 118970, {1, 1, 5, 13, 15, 39, 61, 93, 407, 553, 839, 4035, 6609, 6327, 945, 49625, 127867, 240161}},
+{20494, 18, 118983, {1, 1, 1, 15, 23, 47, 21, 235, 81, 431, 1819, 1141, 7973, 4623, 4539, 23201, 83111, 230857}},
+{20495, 18, 119025, {1, 3, 3, 15, 9, 15, 15, 173, 29, 803, 1453, 2621, 8095, 6639, 6607, 21471, 44785, 122271}},
+{20496, 18, 119026, {1, 3, 3, 7, 21, 5, 127, 203, 43, 581, 1925, 165, 4615, 9141, 18563, 54413, 71559, 172791}},
+{20497, 18, 119064, {1, 3, 3, 3, 27, 31, 55, 3, 381, 971, 1087, 2659, 139, 10935, 9189, 3445, 15071, 218873}},
+{20498, 18, 119069, {1, 3, 1, 3, 1, 57, 47, 71, 85, 335, 207, 225, 2931, 14721, 21431, 17199, 745, 177403}},
+{20499, 18, 119079, {1, 3, 1, 7, 7, 17, 21, 57, 345, 29, 1147, 1179, 7371, 14725, 27445, 62061, 16483, 112489}},
+{20500, 18, 119085, {1, 3, 7, 15, 23, 11, 91, 1, 1, 117, 1665, 3899, 5683, 14497, 25633, 6233, 104029, 22155}},
+{20501, 18, 119115, {1, 3, 5, 9, 1, 27, 15, 187, 37, 329, 585, 729, 5651, 15715, 4339, 1899, 90611, 195643}},
+{20502, 18, 119165, {1, 1, 3, 11, 1, 45, 95, 103, 13, 83, 319, 2295, 6333, 13469, 19237, 55985, 129725, 141699}},
+{20503, 18, 119166, {1, 1, 5, 11, 7, 41, 97, 159, 511, 617, 1545, 3023, 7919, 8437, 8345, 16701, 69053, 105047}},
+{20504, 18, 119193, {1, 3, 3, 11, 29, 35, 23, 95, 277, 931, 857, 3887, 4597, 10841, 12947, 18009, 61499, 242827}},
+{20505, 18, 119194, {1, 1, 3, 3, 7, 63, 35, 161, 125, 637, 149, 1045, 3297, 16213, 1543, 8073, 80373, 61507}},
+{20506, 18, 119199, {1, 1, 7, 5, 31, 43, 113, 189, 181, 659, 1971, 3309, 4237, 4279, 31563, 29429, 17443, 154385}},
+{20507, 18, 119215, {1, 1, 1, 13, 19, 43, 99, 91, 47, 477, 153, 3295, 6281, 779, 17169, 343, 1723, 171133}},
+{20508, 18, 119218, {1, 1, 1, 15, 9, 35, 123, 45, 417, 631, 1415, 1835, 3063, 897, 18947, 62477, 12759, 97831}},
+{20509, 18, 119241, {1, 1, 3, 13, 31, 1, 31, 139, 411, 605, 1829, 303, 3891, 15807, 7335, 44833, 87427, 62183}},
+{20510, 18, 119277, {1, 1, 3, 13, 29, 55, 97, 107, 241, 981, 1281, 3295, 6825, 15865, 4221, 24695, 54203, 252069}},
+{20511, 18, 119301, {1, 3, 7, 13, 1, 3, 33, 165, 483, 813, 127, 1717, 8077, 3521, 23465, 41705, 2769, 173233}},
+{20512, 18, 119306, {1, 3, 1, 11, 11, 51, 39, 125, 375, 825, 1775, 2923, 4903, 4779, 907, 47787, 22293, 169631}},
+{20513, 18, 119335, {1, 3, 5, 5, 13, 27, 43, 229, 267, 153, 567, 3403, 2103, 6203, 29629, 29715, 116735, 122515}},
+{20514, 18, 119344, {1, 3, 5, 13, 3, 3, 15, 5, 345, 343, 691, 3703, 361, 2019, 9309, 26909, 22897, 103555}},
+{20515, 18, 119364, {1, 3, 1, 11, 9, 25, 123, 235, 131, 469, 1749, 3681, 3841, 10157, 15183, 61413, 42207, 170359}},
+{20516, 18, 119373, {1, 1, 7, 3, 13, 9, 7, 191, 239, 417, 817, 1381, 1179, 2719, 21025, 17429, 50295, 196485}},
+{20517, 18, 119382, {1, 1, 7, 9, 9, 31, 123, 229, 381, 569, 513, 1617, 6141, 9717, 31769, 30159, 113697, 254237}},
+{20518, 18, 119410, {1, 1, 1, 15, 31, 43, 37, 17, 283, 905, 297, 1317, 1883, 11313, 5653, 55655, 121029, 149831}},
+{20519, 18, 119425, {1, 1, 1, 7, 7, 47, 83, 101, 497, 465, 1133, 3877, 5371, 3355, 17161, 50185, 120837, 255103}},
+{20520, 18, 119459, {1, 1, 3, 5, 5, 19, 3, 251, 433, 303, 1193, 1263, 2139, 473, 10725, 57725, 111411, 133687}},
+{20521, 18, 119473, {1, 1, 1, 7, 3, 1, 99, 115, 481, 395, 115, 1699, 953, 2807, 7227, 52781, 2855, 161159}},
+{20522, 18, 119486, {1, 1, 5, 9, 25, 25, 85, 3, 451, 847, 837, 3669, 4717, 3661, 29111, 43735, 49445, 100379}},
+{20523, 18, 119500, {1, 1, 7, 9, 19, 61, 67, 123, 195, 483, 1741, 2719, 7809, 5035, 30689, 21325, 56191, 46127}},
+{20524, 18, 119508, {1, 1, 3, 11, 15, 39, 101, 27, 103, 807, 1557, 1647, 1285, 16169, 20203, 57153, 60749, 71361}},
+{20525, 18, 119511, {1, 3, 3, 3, 19, 1, 93, 31, 105, 925, 689, 3061, 7451, 12667, 27179, 36295, 61011, 90321}},
+{20526, 18, 119517, {1, 3, 7, 15, 19, 35, 47, 241, 261, 935, 1033, 751, 6519, 6911, 13519, 2539, 40285, 81535}},
+{20527, 18, 119528, {1, 1, 7, 13, 17, 31, 71, 135, 167, 5, 673, 2909, 4377, 3453, 31289, 38081, 21993, 192933}},
+{20528, 18, 119533, {1, 1, 5, 15, 23, 49, 85, 127, 13, 849, 1661, 2099, 3479, 3613, 21723, 58147, 56321, 203171}},
+{20529, 18, 119539, {1, 1, 7, 15, 23, 63, 3, 207, 445, 573, 1419, 1161, 2237, 1251, 23387, 65259, 81447, 74555}},
+{20530, 18, 119542, {1, 3, 5, 3, 25, 61, 37, 25, 287, 969, 37, 1615, 7923, 4457, 27611, 8519, 113957, 237427}},
+{20531, 18, 119546, {1, 3, 5, 11, 11, 25, 117, 169, 149, 701, 139, 2835, 6029, 9067, 841, 51707, 9287, 115825}},
+{20532, 18, 119566, {1, 1, 1, 13, 31, 5, 9, 5, 313, 1023, 551, 3635, 6765, 13379, 29135, 39737, 80913, 256355}},
+{20533, 18, 119587, {1, 3, 1, 13, 9, 23, 105, 117, 181, 211, 755, 555, 2763, 13965, 14743, 63725, 16377, 203435}},
+{20534, 18, 119590, {1, 3, 1, 15, 11, 45, 111, 147, 471, 321, 381, 2921, 6423, 629, 25117, 51213, 126941, 181931}},
+{20535, 18, 119607, {1, 1, 1, 11, 1, 49, 127, 105, 315, 1, 859, 1223, 5967, 2521, 14491, 58399, 45155, 192567}},
+{20536, 18, 119614, {1, 1, 3, 9, 19, 21, 73, 93, 95, 307, 293, 3243, 4765, 2253, 16775, 29861, 3785, 90357}},
+{20537, 18, 119625, {1, 1, 3, 7, 3, 53, 33, 167, 165, 509, 1133, 169, 6951, 7715, 26317, 5249, 86235, 39649}},
+{20538, 18, 119633, {1, 1, 5, 5, 3, 47, 105, 89, 201, 1003, 877, 635, 2225, 6391, 21247, 5707, 1233, 87055}},
+{20539, 18, 119634, {1, 1, 1, 1, 9, 39, 61, 201, 435, 843, 1245, 533, 1757, 1117, 19687, 54817, 32495, 228865}},
+{20540, 18, 119643, {1, 3, 1, 1, 3, 61, 63, 117, 143, 217, 435, 1977, 2647, 7631, 12969, 50211, 26483, 256329}},
+{20541, 18, 119683, {1, 3, 3, 9, 21, 25, 113, 243, 457, 143, 833, 1505, 3071, 1845, 17867, 58205, 103819, 185215}},
+{20542, 18, 119704, {1, 1, 5, 7, 23, 51, 11, 117, 195, 535, 685, 31, 3037, 9719, 22811, 42959, 21021, 126297}},
+{20543, 18, 119710, {1, 3, 3, 1, 1, 17, 107, 245, 257, 547, 887, 45, 5243, 2439, 22191, 19503, 2143, 75187}},
+{20544, 18, 119734, {1, 3, 7, 9, 11, 27, 123, 197, 353, 151, 1115, 403, 1105, 7425, 7463, 42065, 116187, 154537}},
+{20545, 18, 119752, {1, 3, 5, 15, 23, 5, 49, 177, 223, 615, 1255, 2081, 321, 8733, 19549, 53027, 275, 62739}},
+{20546, 18, 119760, {1, 3, 7, 1, 17, 61, 3, 233, 249, 763, 369, 555, 1621, 7221, 22575, 13295, 99793, 233635}},
+{20547, 18, 119826, {1, 1, 3, 1, 27, 41, 125, 113, 47, 583, 543, 453, 1213, 14187, 1645, 35761, 110051, 197081}},
+{20548, 18, 119922, {1, 1, 7, 9, 29, 43, 105, 125, 489, 135, 153, 2279, 4079, 6731, 12055, 60181, 82563, 173991}},
+{20549, 18, 119931, {1, 3, 7, 3, 29, 1, 67, 151, 127, 625, 113, 2127, 6723, 12359, 28609, 60605, 20375, 120129}},
+{20550, 18, 119977, {1, 1, 5, 7, 9, 13, 27, 171, 129, 199, 303, 4045, 2047, 8887, 22233, 57571, 40545, 36479}},
+{20551, 18, 120015, {1, 3, 1, 7, 1, 5, 127, 203, 213, 691, 1155, 27, 5409, 13519, 6747, 42371, 37089, 145855}},
+{20552, 18, 120020, {1, 3, 3, 9, 3, 33, 119, 25, 337, 715, 1093, 987, 7157, 14975, 28595, 19021, 1243, 148707}},
+{20553, 18, 120083, {1, 3, 1, 13, 3, 41, 81, 151, 23, 787, 181, 2357, 5077, 1997, 6451, 25505, 44875, 198341}},
+{20554, 18, 120086, {1, 1, 7, 3, 5, 15, 9, 169, 337, 487, 1325, 1505, 465, 2339, 20747, 8269, 96875, 108985}},
+{20555, 18, 120101, {1, 3, 1, 7, 23, 7, 113, 181, 25, 989, 1649, 1, 823, 6793, 18729, 3599, 97951, 239609}},
+{20556, 18, 120105, {1, 3, 7, 7, 3, 63, 63, 207, 419, 355, 1133, 2979, 2071, 11699, 32565, 61347, 106475, 16893}},
+{20557, 18, 120155, {1, 1, 7, 5, 7, 3, 119, 133, 189, 341, 1571, 1559, 4309, 16203, 22459, 21019, 80375, 3453}},
+{20558, 18, 120188, {1, 1, 3, 11, 21, 21, 45, 69, 485, 21, 727, 703, 5209, 14745, 3437, 54603, 104357, 151207}},
+{20559, 18, 120195, {1, 3, 7, 5, 25, 17, 13, 147, 329, 93, 121, 315, 2779, 6921, 425, 50441, 1133, 252291}},
+{20560, 18, 120216, {1, 1, 3, 5, 5, 51, 15, 135, 323, 841, 409, 1067, 3243, 4207, 6833, 59329, 90545, 116661}},
+{20561, 18, 120228, {1, 1, 3, 15, 25, 7, 43, 147, 153, 947, 79, 1897, 4519, 14441, 27181, 38517, 71673, 158597}},
+{20562, 18, 120238, {1, 3, 3, 3, 3, 47, 109, 111, 273, 271, 741, 3999, 649, 7367, 14933, 11785, 92709, 133815}},
+{20563, 18, 120255, {1, 1, 3, 13, 5, 41, 55, 15, 409, 355, 1255, 3043, 7503, 3523, 4261, 48927, 119901, 149411}},
+{20564, 18, 120317, {1, 1, 5, 1, 11, 57, 3, 149, 409, 287, 909, 3541, 4243, 4485, 3611, 63213, 102575, 49863}},
+{20565, 18, 120327, {1, 1, 3, 7, 15, 55, 119, 185, 511, 301, 237, 3701, 3195, 1323, 27511, 44635, 45363, 117683}},
+{20566, 18, 120369, {1, 3, 3, 11, 3, 61, 125, 15, 235, 819, 467, 1097, 1055, 16343, 8329, 37807, 38663, 145625}},
+{20567, 18, 120382, {1, 1, 7, 1, 25, 49, 117, 163, 413, 509, 63, 1313, 5113, 6505, 25475, 12059, 88021, 168037}},
+{20568, 18, 120404, {1, 3, 3, 9, 9, 37, 15, 185, 359, 231, 1483, 2999, 773, 10375, 27103, 39899, 100187, 54485}},
+{20569, 18, 120414, {1, 3, 3, 1, 13, 63, 111, 79, 133, 425, 1491, 3735, 533, 13417, 5161, 11455, 16907, 132267}},
+{20570, 18, 120432, {1, 3, 1, 15, 15, 47, 57, 157, 453, 681, 1811, 1685, 4329, 131, 22763, 1017, 66637, 1673}},
+{20571, 18, 120435, {1, 3, 7, 3, 31, 5, 105, 101, 431, 983, 1333, 845, 7369, 15041, 6527, 8617, 61911, 137513}},
+{20572, 18, 120454, {1, 3, 7, 15, 3, 45, 57, 23, 393, 495, 769, 215, 3611, 12907, 20637, 52997, 88345, 37961}},
+{20573, 18, 120463, {1, 3, 5, 7, 31, 3, 85, 249, 353, 559, 1803, 959, 4625, 9413, 22339, 6071, 124765, 43973}},
+{20574, 18, 120471, {1, 3, 1, 9, 31, 15, 109, 197, 179, 293, 457, 709, 627, 7743, 1997, 59625, 36919, 252849}},
+{20575, 18, 120505, {1, 1, 7, 11, 17, 21, 89, 11, 431, 617, 1029, 2649, 1725, 2723, 18367, 46103, 108063, 221855}},
+{20576, 18, 120528, {1, 3, 7, 1, 29, 7, 81, 187, 353, 807, 965, 3655, 3255, 9139, 28619, 32127, 107901, 139099}},
+{20577, 18, 120588, {1, 1, 5, 3, 17, 9, 39, 59, 431, 829, 525, 1885, 2387, 13381, 5271, 29739, 80413, 240595}},
+{20578, 18, 120616, {1, 3, 1, 5, 1, 5, 25, 9, 193, 971, 681, 2921, 3271, 3891, 20123, 37477, 33141, 82481}},
+{20579, 18, 120630, {1, 1, 3, 5, 1, 63, 77, 93, 63, 399, 1945, 387, 5457, 7339, 13279, 34119, 129903, 12621}},
+{20580, 18, 120644, {1, 3, 3, 11, 17, 11, 117, 189, 473, 23, 13, 1261, 2153, 12181, 21075, 33179, 43355, 168293}},
+{20581, 18, 120672, {1, 3, 5, 11, 21, 13, 73, 227, 211, 939, 885, 2091, 1123, 14809, 15705, 56675, 58087, 1451}},
+{20582, 18, 120677, {1, 3, 7, 1, 15, 15, 101, 235, 287, 675, 1741, 3885, 6211, 14817, 10235, 29289, 60401, 27639}},
+{20583, 18, 120718, {1, 3, 5, 13, 13, 7, 117, 31, 143, 505, 1823, 2841, 2133, 7305, 14093, 14229, 85179, 136793}},
+{20584, 18, 120725, {1, 1, 3, 15, 27, 15, 67, 237, 315, 793, 207, 3781, 5201, 13191, 9601, 44041, 116097, 178543}},
+{20585, 18, 120730, {1, 3, 1, 9, 9, 47, 53, 225, 109, 831, 1757, 349, 6353, 15417, 16395, 36295, 10901, 122349}},
+{20586, 18, 120756, {1, 1, 1, 1, 1, 17, 109, 13, 123, 537, 1859, 3717, 4441, 4271, 29017, 13601, 18533, 216695}},
+{20587, 18, 120759, {1, 3, 3, 13, 31, 23, 45, 233, 29, 295, 761, 757, 777, 3499, 26715, 24153, 113777, 256337}},
+{20588, 18, 120765, {1, 3, 5, 7, 23, 57, 37, 179, 511, 897, 2031, 1285, 3957, 15085, 19993, 28819, 39959, 187445}},
+{20589, 18, 120795, {1, 3, 1, 15, 25, 41, 121, 227, 433, 859, 357, 3107, 3241, 879, 10763, 59473, 73145, 258493}},
+{20590, 18, 120821, {1, 3, 3, 5, 13, 9, 85, 117, 347, 161, 995, 549, 5443, 9057, 28931, 57549, 27523, 54717}},
+{20591, 18, 120850, {1, 1, 5, 13, 13, 33, 97, 37, 55, 367, 403, 2361, 5717, 4433, 26921, 14227, 69445, 100337}},
+{20592, 18, 120868, {1, 3, 5, 7, 1, 41, 89, 165, 163, 1, 685, 3577, 1079, 1057, 125, 35853, 8387, 113035}},
+{20593, 18, 120880, {1, 3, 3, 13, 3, 59, 119, 51, 325, 205, 821, 1417, 2097, 13725, 31785, 53803, 15737, 2013}},
+{20594, 18, 120885, {1, 3, 7, 7, 1, 45, 95, 221, 249, 65, 1479, 2163, 5761, 15321, 8013, 25771, 110897, 214127}},
+{20595, 18, 120892, {1, 3, 3, 5, 25, 11, 27, 29, 95, 955, 1989, 3775, 609, 7073, 4571, 38857, 92205, 156209}},
+{20596, 18, 120897, {1, 3, 1, 13, 29, 57, 97, 47, 499, 641, 587, 2125, 2257, 13911, 13993, 1715, 46233, 181279}},
+{20597, 18, 120912, {1, 1, 7, 13, 7, 55, 69, 235, 379, 269, 1969, 2733, 3677, 1707, 26999, 64041, 98111, 138691}},
+{20598, 18, 120934, {1, 1, 3, 5, 27, 63, 65, 251, 413, 903, 1307, 2941, 5649, 11271, 1935, 49389, 37995, 218197}},
+{20599, 18, 120991, {1, 3, 3, 13, 7, 1, 45, 225, 13, 169, 581, 1657, 117, 10251, 23435, 40379, 127085, 88185}},
+{20600, 18, 121004, {1, 1, 7, 5, 21, 63, 69, 37, 459, 115, 1403, 1939, 6437, 13149, 3597, 50115, 129075, 260613}},
+{20601, 18, 121021, {1, 1, 3, 5, 29, 57, 15, 223, 131, 907, 1561, 1103, 4355, 2763, 6359, 55401, 1751, 53143}},
+{20602, 18, 121022, {1, 1, 7, 11, 15, 5, 17, 159, 505, 407, 1873, 2501, 2203, 12559, 5123, 53281, 29307, 16215}},
+{20603, 18, 121036, {1, 1, 1, 15, 9, 41, 77, 145, 325, 529, 1939, 3835, 3109, 12215, 18323, 2551, 89793, 94745}},
+{20604, 18, 121041, {1, 3, 1, 9, 21, 5, 7, 57, 99, 1005, 1211, 4063, 6851, 7653, 29283, 15463, 121289, 187055}},
+{20605, 18, 121069, {1, 1, 3, 3, 13, 11, 17, 125, 173, 283, 1419, 2533, 6875, 16031, 26633, 51027, 27343, 74257}},
+{20606, 18, 121078, {1, 1, 3, 11, 29, 49, 87, 19, 367, 941, 983, 1041, 8099, 8735, 30123, 62665, 87051, 98745}},
+{20607, 18, 121126, {1, 1, 1, 15, 25, 57, 97, 177, 467, 181, 923, 3833, 5405, 14335, 23495, 48323, 70331, 136825}},
+{20608, 18, 121135, {1, 1, 1, 13, 21, 17, 29, 237, 305, 117, 1077, 2999, 1879, 6875, 19321, 10999, 130513, 160883}},
+{20609, 18, 121138, {1, 3, 7, 15, 19, 47, 89, 153, 287, 7, 1429, 1507, 2853, 4197, 11195, 33891, 59063, 189601}},
+{20610, 18, 121162, {1, 1, 3, 15, 31, 5, 113, 71, 13, 925, 147, 451, 5701, 13671, 13943, 13799, 59627, 115715}},
+{20611, 18, 121176, {1, 1, 1, 5, 13, 25, 51, 11, 409, 393, 1479, 2583, 3101, 303, 17609, 10653, 69107, 150459}},
+{20612, 18, 121186, {1, 1, 5, 7, 21, 27, 107, 77, 61, 467, 1723, 1247, 287, 1039, 25347, 18111, 24837, 42903}},
+{20613, 18, 121209, {1, 3, 5, 5, 1, 29, 57, 177, 311, 9, 819, 3235, 3887, 9679, 11849, 31755, 68467, 135587}},
+{20614, 18, 121212, {1, 1, 5, 5, 29, 15, 13, 69, 163, 709, 1405, 3835, 777, 7567, 10153, 5043, 129465, 59113}},
+{20615, 18, 121221, {1, 1, 1, 13, 3, 47, 97, 101, 179, 53, 1919, 17, 3597, 11769, 17971, 39257, 76167, 255653}},
+{20616, 18, 121225, {1, 1, 7, 5, 1, 45, 121, 223, 299, 271, 1857, 1955, 5509, 1245, 9519, 60547, 78497, 191251}},
+{20617, 18, 121228, {1, 1, 1, 11, 5, 57, 87, 113, 59, 547, 1591, 1905, 475, 4687, 27591, 43807, 9617, 70769}},
+{20618, 18, 121239, {1, 1, 7, 1, 1, 35, 35, 11, 107, 401, 827, 2271, 2131, 12751, 25771, 51311, 46897, 198655}},
+{20619, 18, 121245, {1, 3, 3, 3, 15, 29, 91, 147, 9, 611, 1739, 3211, 3883, 14205, 24073, 37445, 54451, 208123}},
+{20620, 18, 121264, {1, 3, 7, 1, 25, 53, 33, 161, 365, 651, 1263, 1623, 1767, 3789, 18013, 52133, 60119, 100859}},
+{20621, 18, 121270, {1, 3, 5, 9, 15, 9, 97, 67, 379, 981, 1323, 1095, 3701, 3257, 13647, 12511, 53375, 156689}},
+{20622, 18, 121299, {1, 1, 3, 5, 9, 23, 97, 239, 171, 501, 1549, 1029, 8019, 5023, 9439, 14223, 54433, 152855}},
+{20623, 18, 121306, {1, 1, 7, 13, 17, 35, 111, 169, 81, 599, 1673, 3461, 7905, 7925, 16311, 20327, 57109, 158719}},
+{20624, 18, 121315, {1, 1, 3, 15, 7, 33, 23, 33, 273, 987, 1489, 363, 4017, 8919, 28839, 10143, 114179, 218155}},
+{20625, 18, 121317, {1, 3, 5, 13, 29, 5, 61, 133, 65, 933, 509, 551, 7365, 3703, 15003, 27849, 64211, 140383}},
+{20626, 18, 121321, {1, 1, 1, 13, 7, 25, 49, 1, 269, 601, 251, 33, 2443, 13725, 5805, 63347, 109489, 111491}},
+{20627, 18, 121324, {1, 1, 7, 9, 31, 23, 117, 71, 371, 733, 605, 4019, 4577, 3887, 31061, 24939, 57905, 148331}},
+{20628, 18, 121330, {1, 3, 5, 1, 3, 35, 35, 227, 355, 27, 1673, 2173, 5001, 14613, 6343, 40775, 72349, 101287}},
+{20629, 18, 121339, {1, 1, 7, 15, 29, 3, 43, 77, 43, 51, 1495, 2577, 2093, 7515, 20151, 44533, 32223, 6355}},
+{20630, 18, 121346, {1, 1, 5, 5, 11, 47, 91, 221, 35, 969, 343, 3287, 857, 4851, 12599, 939, 53615, 262125}},
+{20631, 18, 121370, {1, 1, 5, 7, 29, 11, 67, 155, 317, 629, 211, 583, 1061, 13243, 13999, 45405, 18187, 99021}},
+{20632, 18, 121372, {1, 3, 7, 13, 3, 39, 5, 207, 175, 515, 1181, 739, 379, 9919, 12079, 18903, 62475, 239383}},
+{20633, 18, 121393, {1, 1, 1, 15, 25, 15, 113, 215, 281, 861, 1055, 2577, 5545, 12365, 16097, 35775, 8331, 119353}},
+{20634, 18, 121396, {1, 1, 1, 1, 25, 55, 111, 185, 485, 361, 155, 4077, 5517, 16057, 19069, 40129, 38959, 211233}},
+{20635, 18, 121414, {1, 1, 3, 3, 13, 1, 93, 129, 243, 813, 115, 177, 53, 8251, 32351, 63847, 54537, 25527}},
+{20636, 18, 121442, {1, 3, 5, 11, 25, 47, 113, 69, 285, 451, 2011, 81, 6535, 3409, 8647, 56575, 975, 149571}},
+{20637, 18, 121475, {1, 1, 7, 7, 19, 1, 75, 123, 413, 697, 41, 3179, 4075, 15967, 2477, 17549, 54193, 258657}},
+{20638, 18, 121499, {1, 1, 5, 5, 11, 23, 19, 253, 303, 255, 901, 875, 1517, 6953, 25189, 26763, 28843, 167705}},
+{20639, 18, 121512, {1, 3, 7, 7, 17, 45, 31, 79, 279, 965, 1869, 1201, 1627, 14035, 11651, 45021, 76171, 49137}},
+{20640, 18, 121518, {1, 3, 1, 15, 9, 55, 83, 59, 437, 915, 1667, 89, 2797, 1841, 29261, 23497, 55785, 102265}},
+{20641, 18, 121588, {1, 1, 5, 5, 3, 59, 17, 131, 199, 541, 1647, 2175, 4449, 6081, 10609, 39467, 72945, 32423}},
+{20642, 18, 121597, {1, 3, 1, 7, 5, 7, 85, 11, 255, 397, 87, 1661, 6523, 5699, 29407, 28015, 50783, 246625}},
+{20643, 18, 121612, {1, 3, 3, 13, 5, 61, 123, 147, 295, 37, 301, 2549, 7615, 5725, 32477, 18121, 69353, 242579}},
+{20644, 18, 121629, {1, 3, 5, 7, 9, 45, 83, 211, 475, 281, 743, 3955, 7811, 6043, 30547, 5315, 53345, 25775}},
+{20645, 18, 121630, {1, 3, 3, 5, 7, 63, 125, 43, 131, 353, 345, 1689, 5483, 5467, 13445, 13041, 68381, 134567}},
+{20646, 18, 121634, {1, 3, 5, 11, 31, 9, 123, 53, 237, 911, 349, 3737, 1867, 7375, 3031, 4191, 8697, 182255}},
+{20647, 18, 121680, {1, 1, 3, 3, 11, 11, 89, 251, 69, 93, 1241, 1719, 2227, 1793, 21683, 58099, 110831, 24835}},
+{20648, 18, 121725, {1, 1, 5, 9, 3, 57, 3, 17, 11, 217, 923, 3623, 727, 1837, 21203, 63007, 33691, 216259}},
+{20649, 18, 121798, {1, 3, 3, 9, 21, 25, 83, 115, 325, 921, 811, 303, 3555, 10669, 5837, 45585, 61923, 159061}},
+{20650, 18, 121815, {1, 3, 3, 15, 17, 29, 77, 75, 509, 363, 199, 317, 7375, 11971, 15679, 17135, 101925, 103375}},
+{20651, 18, 121822, {1, 3, 5, 5, 29, 45, 85, 151, 73, 329, 911, 3055, 2381, 4717, 5133, 58987, 59885, 226689}},
+{20652, 18, 121837, {1, 3, 5, 1, 11, 59, 17, 83, 385, 867, 215, 2275, 7247, 10613, 6493, 63843, 74483, 134271}},
+{20653, 18, 121840, {1, 1, 7, 13, 29, 25, 77, 61, 281, 439, 353, 2213, 697, 14741, 1597, 7515, 7703, 149123}},
+{20654, 18, 121869, {1, 3, 7, 7, 7, 53, 77, 21, 483, 793, 969, 123, 3581, 12489, 22943, 54573, 25785, 178419}},
+{20655, 18, 121878, {1, 3, 5, 3, 17, 59, 75, 55, 125, 569, 1625, 77, 4593, 8493, 5259, 54537, 100479, 107509}},
+{20656, 18, 121897, {1, 1, 1, 15, 5, 7, 11, 169, 349, 133, 1113, 2877, 6109, 16275, 9755, 1385, 55005, 36095}},
+{20657, 18, 121920, {1, 1, 7, 7, 21, 25, 41, 161, 11, 321, 343, 705, 4601, 12867, 21997, 25283, 78467, 159089}},
+{20658, 18, 121929, {1, 3, 7, 1, 15, 3, 71, 227, 427, 883, 1021, 1405, 7791, 12669, 9159, 30931, 105993, 40917}},
+{20659, 18, 121944, {1, 1, 5, 5, 25, 41, 93, 57, 125, 915, 701, 2589, 7147, 15369, 28307, 54635, 13253, 97177}},
+{20660, 18, 121999, {1, 3, 1, 13, 11, 63, 103, 241, 317, 927, 965, 3179, 5213, 13849, 11509, 52665, 1637, 235647}},
+{20661, 18, 122008, {1, 3, 5, 3, 31, 31, 111, 9, 339, 1017, 1715, 101, 6849, 14329, 31607, 40741, 73067, 119001}},
+{20662, 18, 122056, {1, 3, 1, 13, 3, 55, 53, 15, 185, 717, 1447, 3029, 4899, 14217, 19949, 32817, 24829, 206829}},
+{20663, 18, 122062, {1, 3, 7, 9, 21, 11, 33, 213, 5, 769, 1807, 2179, 63, 5167, 23235, 25495, 113299, 129419}},
+{20664, 18, 122067, {1, 3, 7, 11, 11, 33, 23, 125, 21, 609, 595, 1329, 6175, 15837, 3889, 57797, 81453, 211413}},
+{20665, 18, 122083, {1, 1, 5, 11, 31, 7, 13, 73, 143, 559, 1541, 275, 3349, 2987, 21797, 32921, 125395, 247667}},
+{20666, 18, 122095, {1, 1, 3, 11, 19, 1, 23, 167, 337, 75, 1597, 3591, 2705, 7323, 5957, 7317, 58945, 44625}},
+{20667, 18, 122110, {1, 1, 5, 11, 27, 19, 63, 231, 353, 645, 531, 3861, 1681, 6901, 16217, 20639, 70077, 220233}},
+{20668, 18, 122118, {1, 1, 5, 15, 31, 41, 19, 253, 147, 365, 509, 1199, 6699, 14633, 1339, 48203, 58707, 83315}},
+{20669, 18, 122127, {1, 1, 5, 7, 19, 47, 47, 17, 267, 139, 549, 803, 4625, 6851, 32141, 12891, 43785, 211361}},
+{20670, 18, 122189, {1, 3, 1, 13, 19, 35, 13, 45, 167, 627, 1449, 3041, 5043, 9279, 15889, 41675, 25769, 13835}},
+{20671, 18, 122207, {1, 3, 7, 7, 19, 47, 13, 117, 403, 79, 1623, 3741, 3255, 2301, 25, 2311, 5237, 150879}},
+{20672, 18, 122226, {1, 1, 1, 15, 29, 43, 75, 21, 237, 809, 129, 2637, 181, 15921, 30709, 61281, 82405, 232885}},
+{20673, 18, 122253, {1, 1, 3, 15, 15, 15, 55, 217, 243, 579, 945, 3993, 1875, 2425, 25045, 36729, 42935, 213703}},
+{20674, 18, 122301, {1, 3, 3, 1, 5, 59, 115, 71, 483, 327, 701, 2893, 1815, 4611, 3843, 5893, 126479, 167807}},
+{20675, 18, 122324, {1, 3, 1, 7, 17, 59, 115, 191, 3, 615, 215, 2121, 5085, 15233, 16661, 6215, 31061, 192847}},
+{20676, 18, 122337, {1, 3, 1, 1, 21, 25, 41, 195, 151, 905, 1587, 439, 3317, 2275, 4743, 33505, 1185, 254873}},
+{20677, 18, 122362, {1, 1, 3, 9, 11, 49, 37, 117, 419, 1007, 789, 1323, 345, 2047, 20697, 57063, 69167, 219393}},
+{20678, 18, 122368, {1, 3, 1, 1, 25, 49, 81, 79, 117, 1015, 1777, 2427, 527, 10139, 16261, 42587, 33933, 19749}},
+{20679, 18, 122371, {1, 1, 5, 15, 31, 43, 19, 17, 97, 591, 891, 177, 7835, 3979, 15473, 2173, 65555, 182773}},
+{20680, 18, 122378, {1, 1, 3, 15, 13, 53, 31, 179, 247, 635, 683, 423, 2981, 14401, 26385, 10935, 68497, 181703}},
+{20681, 18, 122404, {1, 3, 3, 9, 25, 55, 43, 29, 487, 969, 989, 3561, 6425, 11619, 5773, 56515, 17461, 151239}},
+{20682, 18, 122443, {1, 1, 5, 13, 3, 31, 73, 51, 213, 215, 297, 783, 697, 14197, 7277, 60697, 985, 189995}},
+{20683, 18, 122451, {1, 3, 3, 5, 9, 47, 69, 27, 15, 407, 1029, 2541, 183, 4413, 5143, 33903, 49509, 49007}},
+{20684, 18, 122457, {1, 1, 1, 3, 5, 3, 9, 165, 215, 577, 1657, 363, 737, 5483, 5955, 34533, 45861, 104645}},
+{20685, 18, 122458, {1, 1, 5, 7, 31, 27, 37, 215, 125, 915, 1297, 3095, 1529, 12737, 25675, 29355, 83939, 106765}},
+{20686, 18, 122479, {1, 1, 3, 3, 1, 49, 29, 115, 395, 647, 147, 3905, 1025, 8873, 10587, 25471, 72089, 171467}},
+{20687, 18, 122484, {1, 3, 7, 1, 21, 55, 57, 233, 487, 883, 439, 929, 1405, 13709, 2389, 20205, 17579, 9129}},
+{20688, 18, 122521, {1, 3, 5, 5, 23, 51, 55, 45, 307, 855, 933, 1443, 4757, 8719, 28401, 35189, 105329, 9211}},
+{20689, 18, 122540, {1, 3, 7, 11, 29, 17, 17, 147, 221, 997, 1433, 59, 8027, 231, 30335, 2153, 21393, 116661}},
+{20690, 18, 122545, {1, 1, 7, 3, 5, 43, 47, 155, 357, 915, 1923, 3315, 4107, 9785, 4847, 57683, 87569, 179583}},
+{20691, 18, 122552, {1, 1, 7, 7, 27, 5, 37, 95, 265, 113, 143, 3755, 5793, 5601, 16621, 54777, 15989, 158933}},
+{20692, 18, 122560, {1, 3, 1, 1, 13, 31, 113, 255, 367, 559, 1777, 4065, 8061, 15785, 10345, 54833, 95277, 159347}},
+{20693, 18, 122575, {1, 1, 1, 15, 3, 43, 85, 251, 193, 19, 1685, 271, 1779, 11901, 18983, 65361, 128217, 248051}},
+{20694, 18, 122578, {1, 3, 5, 7, 29, 21, 5, 47, 263, 913, 83, 3233, 113, 8341, 14473, 37405, 2363, 155931}},
+{20695, 18, 122605, {1, 1, 7, 15, 7, 25, 41, 39, 315, 323, 827, 1277, 1211, 4465, 21161, 36865, 6689, 139147}},
+{20696, 18, 122661, {1, 1, 1, 9, 11, 45, 81, 235, 31, 247, 77, 1877, 7119, 16007, 2225, 65, 85537, 99251}},
+{20697, 18, 122673, {1, 1, 3, 11, 19, 5, 49, 179, 345, 961, 349, 2099, 2317, 12771, 27169, 59389, 116071, 68333}},
+{20698, 18, 122722, {1, 3, 3, 5, 15, 53, 47, 177, 103, 941, 87, 2813, 7729, 8003, 7717, 40095, 74569, 106617}},
+{20699, 18, 122728, {1, 1, 7, 7, 31, 23, 105, 205, 325, 855, 1529, 3601, 7151, 15827, 16241, 18221, 55771, 139225}},
+{20700, 18, 122739, {1, 3, 5, 13, 13, 5, 95, 167, 25, 779, 1147, 221, 5055, 10943, 28077, 15131, 89501, 137407}},
+{20701, 18, 122751, {1, 3, 7, 13, 31, 3, 105, 163, 41, 823, 1493, 2985, 5589, 3543, 24683, 34469, 40595, 200875}},
+{20702, 18, 122762, {1, 3, 5, 3, 27, 35, 105, 163, 477, 667, 45, 319, 3201, 11535, 19349, 55253, 60275, 209597}},
+{20703, 18, 122769, {1, 3, 1, 11, 5, 13, 25, 225, 169, 925, 1617, 537, 891, 5583, 7181, 39953, 97537, 104019}},
+{20704, 18, 122772, {1, 3, 5, 9, 13, 1, 69, 147, 465, 259, 1219, 2407, 4015, 4883, 4333, 40441, 31289, 52989}},
+{20705, 18, 122782, {1, 3, 5, 5, 17, 29, 105, 233, 307, 807, 1535, 251, 135, 925, 6865, 59739, 112757, 208275}},
+{20706, 18, 122798, {1, 1, 1, 7, 9, 21, 49, 247, 33, 127, 1277, 1745, 139, 12165, 23517, 50235, 101003, 109031}},
+{20707, 18, 122810, {1, 3, 5, 9, 19, 7, 9, 139, 511, 901, 551, 2717, 6091, 3213, 819, 51381, 108333, 119681}},
+{20708, 18, 122812, {1, 1, 1, 3, 19, 17, 73, 19, 313, 589, 1965, 1745, 921, 4237, 12527, 10735, 110139, 171513}},
+{20709, 18, 122818, {1, 1, 5, 15, 25, 29, 15, 217, 87, 793, 419, 915, 1359, 10507, 25343, 62977, 100913, 110041}},
+{20710, 18, 122829, {1, 3, 7, 15, 15, 15, 91, 243, 441, 437, 1759, 2659, 2319, 7783, 16857, 19051, 15463, 253115}},
+{20711, 18, 122851, {1, 1, 5, 13, 15, 5, 7, 165, 355, 559, 217, 235, 3565, 12047, 2387, 62285, 73363, 238551}},
+{20712, 18, 122857, {1, 3, 7, 11, 5, 5, 69, 205, 179, 815, 335, 979, 2129, 6221, 31987, 13623, 23103, 24373}},
+{20713, 18, 122868, {1, 1, 7, 11, 31, 51, 55, 93, 195, 219, 825, 2919, 4495, 5927, 11813, 16415, 121595, 188613}},
+{20714, 18, 122893, {1, 1, 3, 1, 3, 11, 73, 45, 141, 219, 337, 2569, 6549, 3699, 2417, 2945, 19389, 82561}},
+{20715, 18, 122894, {1, 3, 1, 13, 5, 47, 47, 81, 11, 57, 1965, 2173, 3209, 10617, 19887, 5571, 61403, 37401}},
+{20716, 18, 122902, {1, 3, 3, 7, 3, 5, 99, 253, 287, 655, 813, 3365, 2387, 8951, 1561, 37637, 97625, 148699}},
+{20717, 18, 122921, {1, 1, 3, 5, 9, 31, 49, 7, 55, 607, 1489, 3229, 5871, 1271, 22751, 32309, 16125, 93409}},
+{20718, 18, 122959, {1, 3, 1, 5, 19, 35, 29, 233, 407, 297, 1465, 3089, 7535, 7221, 24469, 42653, 65719, 196771}},
+{20719, 18, 122984, {1, 1, 7, 13, 17, 19, 37, 45, 211, 545, 963, 79, 13, 8319, 8045, 24975, 122749, 25845}},
+{20720, 18, 123001, {1, 3, 5, 3, 23, 23, 53, 101, 363, 49, 1351, 3419, 1603, 10795, 5289, 63695, 113911, 228301}},
+{20721, 18, 123038, {1, 3, 7, 9, 15, 59, 125, 59, 11, 397, 693, 397, 3829, 14349, 13973, 54739, 22093, 216009}},
+{20722, 18, 123076, {1, 1, 1, 13, 5, 63, 21, 23, 421, 35, 589, 803, 6193, 11375, 9501, 34441, 68421, 120109}},
+{20723, 18, 123100, {1, 3, 3, 7, 23, 25, 79, 203, 177, 173, 175, 809, 4331, 6953, 4999, 34345, 94481, 88683}},
+{20724, 18, 123107, {1, 3, 3, 3, 1, 51, 109, 195, 83, 747, 63, 325, 927, 1757, 32055, 37185, 22697, 41509}},
+{20725, 18, 123122, {1, 3, 5, 13, 1, 63, 45, 73, 121, 445, 1935, 3373, 563, 7503, 17941, 60313, 42219, 220917}},
+{20726, 18, 123139, {1, 3, 5, 13, 27, 31, 7, 83, 109, 387, 447, 1691, 1301, 7449, 8075, 30713, 87207, 84855}},
+{20727, 18, 123175, {1, 3, 1, 5, 25, 51, 83, 11, 261, 977, 1415, 2973, 1789, 12641, 16279, 4225, 44237, 173561}},
+{20728, 18, 123190, {1, 1, 5, 15, 17, 47, 105, 199, 83, 705, 1215, 2759, 7509, 10407, 4005, 4575, 65961, 209933}},
+{20729, 18, 123201, {1, 3, 1, 13, 27, 3, 5, 199, 405, 515, 291, 3399, 1497, 14755, 30229, 35075, 111585, 16633}},
+{20730, 18, 123219, {1, 1, 1, 13, 17, 53, 93, 161, 447, 903, 947, 1871, 3597, 10575, 18389, 48551, 65229, 32591}},
+{20731, 18, 123232, {1, 3, 5, 11, 9, 7, 53, 155, 299, 523, 1653, 3517, 2725, 9485, 27099, 47895, 30169, 260463}},
+{20732, 18, 123255, {1, 1, 3, 13, 11, 45, 31, 183, 445, 21, 313, 2597, 195, 16053, 7323, 52951, 25919, 9323}},
+{20733, 18, 123285, {1, 1, 1, 15, 1, 35, 15, 115, 53, 561, 1141, 3261, 83, 2547, 8925, 43455, 112755, 94157}},
+{20734, 18, 123328, {1, 1, 3, 5, 27, 25, 81, 51, 209, 87, 379, 3167, 4953, 13885, 20159, 103, 115363, 123585}},
+{20735, 18, 123385, {1, 3, 5, 1, 25, 29, 107, 225, 77, 435, 2009, 4069, 3703, 8855, 14101, 61683, 16993, 110823}},
+{20736, 18, 123397, {1, 3, 7, 3, 31, 25, 51, 117, 397, 271, 89, 3571, 2357, 4923, 16303, 2357, 107775, 73809}},
+{20737, 18, 123404, {1, 1, 3, 1, 29, 21, 33, 67, 363, 753, 915, 3715, 2013, 8439, 5779, 267, 32687, 104283}},
+{20738, 18, 123419, {1, 3, 1, 11, 11, 7, 31, 43, 339, 917, 2005, 759, 4285, 1933, 4341, 19111, 130651, 122853}},
+{20739, 18, 123435, {1, 1, 5, 1, 17, 63, 85, 63, 387, 127, 1313, 619, 6525, 9003, 10915, 64507, 13175, 45219}},
+{20740, 18, 123437, {1, 3, 7, 9, 25, 15, 43, 13, 411, 391, 571, 527, 8175, 10849, 20093, 2987, 29869, 77207}},
+{20741, 18, 123443, {1, 1, 5, 3, 29, 53, 105, 57, 91, 977, 1103, 2977, 5617, 7203, 26717, 28463, 55909, 59943}},
+{20742, 18, 123500, {1, 3, 1, 7, 1, 47, 111, 215, 189, 377, 11, 871, 2267, 5705, 8165, 38895, 71025, 10921}},
+{20743, 18, 123506, {1, 1, 7, 9, 29, 55, 1, 103, 505, 697, 317, 3209, 3643, 13689, 8499, 14671, 67937, 100467}},
+{20744, 18, 123511, {1, 3, 1, 5, 25, 15, 99, 199, 117, 957, 1421, 1719, 5185, 15247, 28615, 2657, 46867, 190135}},
+{20745, 18, 123512, {1, 1, 7, 9, 27, 55, 81, 47, 15, 497, 537, 857, 2905, 1909, 3341, 32625, 123189, 21875}},
+{20746, 18, 123518, {1, 3, 1, 3, 19, 51, 97, 143, 305, 1021, 543, 829, 7593, 8101, 6337, 4869, 19177, 38981}},
+{20747, 18, 123522, {1, 3, 3, 15, 9, 37, 51, 193, 295, 731, 809, 4065, 3377, 15303, 12505, 11327, 76191, 139899}},
+{20748, 18, 123545, {1, 1, 5, 1, 3, 19, 5, 223, 379, 7, 755, 1127, 505, 9429, 27409, 50817, 97599, 179019}},
+{20749, 18, 123572, {1, 3, 5, 3, 5, 11, 83, 119, 3, 311, 405, 2401, 1821, 1381, 4567, 44079, 61903, 183583}},
+{20750, 18, 123587, {1, 3, 7, 9, 7, 11, 107, 95, 271, 537, 335, 3079, 6695, 1163, 32055, 44985, 29075, 94235}},
+{20751, 18, 123594, {1, 3, 7, 7, 7, 57, 59, 85, 199, 563, 1835, 351, 7675, 2601, 3717, 57975, 92529, 101511}},
+{20752, 18, 123607, {1, 1, 1, 5, 17, 5, 97, 43, 101, 141, 1511, 199, 7157, 3169, 24815, 55653, 104195, 37951}},
+{20753, 18, 123608, {1, 1, 1, 11, 23, 29, 41, 47, 447, 583, 773, 859, 1657, 8707, 16709, 53477, 42037, 186809}},
+{20754, 18, 123630, {1, 1, 1, 13, 13, 5, 85, 9, 213, 511, 1003, 811, 2271, 14715, 21423, 48127, 50613, 214031}},
+{20755, 18, 123635, {1, 1, 3, 5, 7, 31, 87, 101, 297, 853, 1599, 1521, 4965, 9655, 23543, 62277, 11231, 49931}},
+{20756, 18, 123659, {1, 1, 7, 7, 19, 31, 9, 165, 207, 919, 739, 3849, 2121, 867, 3233, 40867, 75721, 5327}},
+{20757, 18, 123692, {1, 3, 7, 1, 17, 3, 27, 13, 431, 283, 465, 1427, 1937, 15601, 21793, 9315, 54285, 196453}},
+{20758, 18, 123695, {1, 1, 7, 3, 17, 39, 65, 137, 511, 19, 1357, 3373, 5227, 2485, 1151, 25061, 117507, 119219}},
+{20759, 18, 123700, {1, 3, 3, 9, 9, 23, 13, 235, 505, 625, 115, 3859, 6943, 14719, 6363, 14957, 28241, 187989}},
+{20760, 18, 123730, {1, 3, 7, 13, 11, 31, 23, 39, 463, 441, 1145, 417, 4177, 1655, 26491, 16895, 26263, 198157}},
+{20761, 18, 123748, {1, 3, 3, 7, 25, 55, 121, 157, 131, 537, 1891, 2367, 1717, 2331, 20251, 8679, 62657, 121957}},
+{20762, 18, 123751, {1, 1, 1, 11, 7, 43, 59, 101, 333, 961, 569, 1603, 3009, 6539, 9627, 5759, 44401, 127613}},
+{20763, 18, 123770, {1, 3, 3, 3, 1, 27, 15, 135, 235, 215, 627, 2427, 2647, 3201, 22873, 64445, 32635, 16587}},
+{20764, 18, 123793, {1, 3, 7, 7, 5, 49, 63, 103, 467, 897, 117, 1149, 6045, 5003, 5005, 6183, 90815, 190909}},
+{20765, 18, 123800, {1, 1, 3, 3, 31, 43, 45, 227, 363, 409, 1097, 3155, 1519, 14461, 29377, 19577, 52595, 94041}},
+{20766, 18, 123803, {1, 3, 1, 1, 3, 25, 83, 243, 57, 243, 389, 1427, 5197, 13125, 18571, 17845, 74961, 125569}},
+{20767, 18, 123851, {1, 3, 5, 5, 1, 39, 11, 175, 97, 1001, 143, 3653, 5887, 5845, 5691, 5433, 62629, 176261}},
+{20768, 18, 123859, {1, 1, 1, 13, 11, 41, 41, 155, 17, 823, 1507, 733, 5663, 13657, 24133, 9971, 27179, 108075}},
+{20769, 18, 123866, {1, 1, 7, 9, 19, 9, 103, 29, 427, 363, 931, 3959, 1629, 5127, 14807, 61937, 127175, 237233}},
+{20770, 18, 123868, {1, 1, 1, 5, 29, 53, 51, 229, 123, 1001, 697, 411, 4669, 5051, 18447, 55437, 129269, 72613}},
+{20771, 18, 123877, {1, 3, 7, 3, 19, 53, 111, 131, 255, 547, 653, 2839, 1447, 14397, 5707, 23773, 127897, 135177}},
+{20772, 18, 123884, {1, 3, 3, 5, 21, 37, 53, 219, 359, 341, 489, 2477, 3383, 6931, 7753, 2619, 114267, 63271}},
+{20773, 18, 123909, {1, 1, 3, 15, 15, 15, 95, 171, 301, 563, 603, 593, 4037, 7305, 10849, 11753, 103087, 74887}},
+{20774, 18, 123910, {1, 1, 5, 3, 11, 51, 105, 35, 155, 643, 569, 1697, 1679, 7547, 19289, 7065, 57359, 142855}},
+{20775, 18, 123919, {1, 1, 7, 15, 23, 55, 17, 67, 375, 559, 355, 165, 93, 973, 22831, 48027, 98435, 59945}},
+{20776, 18, 123927, {1, 3, 7, 3, 5, 43, 9, 253, 111, 819, 45, 3461, 4821, 14735, 14469, 29793, 30681, 26359}},
+{20777, 18, 123937, {1, 3, 3, 5, 15, 1, 39, 233, 63, 287, 131, 3453, 427, 4929, 30085, 18583, 50119, 262101}},
+{20778, 18, 123950, {1, 3, 7, 9, 31, 7, 127, 157, 287, 57, 1091, 1989, 5045, 13071, 27705, 58125, 85317, 66649}},
+{20779, 18, 123957, {1, 1, 1, 15, 17, 29, 25, 223, 311, 489, 1901, 3197, 1813, 10097, 31915, 54871, 32289, 227001}},
+{20780, 18, 123979, {1, 3, 7, 5, 31, 35, 69, 87, 131, 963, 1125, 1109, 8037, 3257, 27655, 50999, 3715, 57851}},
+{20781, 18, 123996, {1, 1, 5, 5, 27, 7, 119, 29, 425, 721, 541, 3069, 3349, 13623, 12293, 51395, 14033, 61545}},
+{20782, 18, 124040, {1, 3, 7, 3, 17, 49, 103, 115, 387, 729, 1389, 2257, 3273, 3375, 23143, 2835, 28071, 79533}},
+{20783, 18, 124054, {1, 1, 3, 7, 9, 19, 55, 159, 261, 467, 17, 2595, 3947, 7045, 193, 23629, 89067, 81197}},
+{20784, 18, 124063, {1, 1, 1, 15, 13, 39, 103, 195, 251, 769, 1003, 2707, 3263, 8451, 8007, 53789, 112653, 258717}},
+{20785, 18, 124067, {1, 3, 5, 1, 3, 21, 29, 217, 125, 779, 1597, 513, 2677, 3979, 31903, 64813, 69963, 92887}},
+{20786, 18, 124088, {1, 1, 3, 11, 11, 59, 81, 237, 447, 703, 41, 3369, 3547, 14935, 31693, 52005, 74149, 131039}},
+{20787, 18, 124101, {1, 1, 3, 1, 23, 1, 33, 93, 275, 847, 921, 2745, 533, 8975, 30529, 46809, 98975, 75541}},
+{20788, 18, 124154, {1, 1, 7, 7, 15, 1, 3, 213, 71, 1009, 1951, 3015, 713, 9365, 21949, 60983, 117633, 225387}},
+{20789, 18, 124162, {1, 1, 1, 11, 31, 27, 59, 179, 231, 635, 1555, 2765, 31, 15065, 22719, 59251, 84733, 96769}},
+{20790, 18, 124167, {1, 3, 7, 3, 19, 5, 35, 207, 317, 735, 943, 3987, 4021, 11229, 13015, 713, 125167, 55887}},
+{20791, 18, 124176, {1, 1, 3, 1, 27, 49, 81, 17, 253, 633, 43, 2953, 3151, 8429, 30625, 28551, 126683, 175087}},
+{20792, 18, 124195, {1, 3, 3, 3, 9, 53, 111, 245, 57, 557, 945, 2957, 7669, 12537, 17291, 9713, 87727, 44739}},
+{20793, 18, 124230, {1, 3, 1, 1, 5, 39, 77, 127, 87, 687, 1485, 1555, 2567, 13551, 17075, 24003, 47627, 129813}},
+{20794, 18, 124267, {1, 3, 5, 9, 25, 35, 87, 233, 439, 563, 1719, 419, 4459, 4285, 25157, 943, 111543, 232107}},
+{20795, 18, 124346, {1, 3, 5, 11, 1, 13, 97, 153, 459, 551, 73, 2087, 3985, 4661, 15603, 22211, 123163, 187233}},
+{20796, 18, 124389, {1, 1, 7, 13, 17, 59, 5, 219, 353, 441, 387, 441, 3009, 485, 20081, 38023, 50659, 159243}},
+{20797, 18, 124418, {1, 3, 1, 7, 21, 31, 117, 49, 227, 677, 417, 1153, 1611, 1669, 25161, 52223, 15109, 114759}},
+{20798, 18, 124420, {1, 1, 7, 9, 19, 13, 111, 7, 1, 701, 731, 2075, 685, 15679, 19149, 44315, 41719, 243975}},
+{20799, 18, 124454, {1, 3, 3, 7, 15, 63, 59, 105, 327, 39, 1497, 2407, 2865, 7065, 9957, 20031, 45359, 73657}},
+{20800, 18, 124490, {1, 3, 1, 13, 7, 3, 55, 221, 443, 953, 15, 2455, 4681, 16247, 18179, 44731, 41323, 172621}},
+{20801, 18, 124503, {1, 1, 3, 9, 1, 27, 65, 167, 115, 137, 819, 2129, 3393, 5901, 11735, 62753, 14941, 21425}},
+{20802, 18, 124519, {1, 3, 7, 11, 7, 9, 41, 175, 237, 481, 59, 265, 2135, 9419, 3937, 55959, 48343, 172549}},
+{20803, 18, 124533, {1, 1, 1, 13, 23, 33, 105, 87, 461, 297, 1345, 3715, 7715, 16369, 19017, 15141, 10873, 109641}},
+{20804, 18, 124544, {1, 3, 5, 1, 11, 1, 13, 41, 447, 511, 447, 2295, 2401, 14171, 16269, 50453, 40361, 205857}},
+{20805, 18, 124589, {1, 1, 3, 3, 27, 7, 35, 193, 113, 341, 335, 2113, 343, 4575, 20863, 40383, 86787, 142603}},
+{20806, 18, 124616, {1, 1, 7, 11, 17, 25, 51, 89, 341, 237, 1233, 1505, 7401, 6887, 26897, 20127, 51077, 107559}},
+{20807, 18, 124630, {1, 1, 1, 15, 9, 59, 29, 115, 339, 785, 201, 947, 1501, 6883, 169, 44059, 17527, 197623}},
+{20808, 18, 124636, {1, 3, 7, 3, 17, 59, 15, 5, 379, 347, 821, 4047, 3565, 13689, 23275, 27901, 121401, 43077}},
+{20809, 18, 124645, {1, 1, 1, 7, 15, 11, 35, 29, 59, 99, 181, 3035, 3239, 1553, 32319, 64195, 115247, 149211}},
+{20810, 18, 124652, {1, 1, 5, 3, 31, 49, 87, 177, 231, 167, 373, 1125, 5919, 4805, 31983, 42873, 30169, 91853}},
+{20811, 18, 124663, {1, 1, 5, 15, 7, 63, 37, 15, 459, 449, 1835, 1769, 2527, 2577, 4251, 62459, 76699, 81721}},
+{20812, 18, 124667, {1, 1, 1, 3, 21, 15, 19, 183, 423, 827, 341, 2101, 3797, 7103, 30845, 24511, 115337, 117019}},
+{20813, 18, 124690, {1, 3, 5, 5, 19, 1, 97, 13, 491, 51, 445, 1987, 7481, 2613, 23141, 36603, 26917, 177397}},
+{20814, 18, 124755, {1, 1, 1, 5, 15, 43, 21, 167, 259, 989, 1937, 1519, 2201, 13973, 18031, 31583, 57557, 252737}},
+{20815, 18, 124757, {1, 3, 3, 7, 31, 11, 89, 53, 279, 83, 1247, 1221, 5499, 1199, 361, 22269, 88633, 134975}},
+{20816, 18, 124819, {1, 1, 3, 5, 9, 5, 113, 41, 143, 655, 1147, 2043, 4229, 10523, 1453, 1735, 76259, 30607}},
+{20817, 18, 124862, {1, 1, 1, 11, 5, 7, 9, 155, 221, 619, 813, 3111, 6039, 10789, 10905, 33285, 62841, 229217}},
+{20818, 18, 124864, {1, 3, 5, 9, 19, 19, 123, 65, 419, 597, 87, 3843, 4857, 15903, 23655, 13023, 8389, 230803}},
+{20819, 18, 124874, {1, 3, 3, 15, 9, 19, 51, 223, 197, 759, 139, 59, 6547, 1043, 5077, 55267, 23681, 17099}},
+{20820, 18, 124882, {1, 1, 3, 3, 15, 43, 63, 85, 227, 961, 1043, 1069, 6557, 7499, 31639, 4345, 26991, 132783}},
+{20821, 18, 124903, {1, 3, 1, 1, 25, 33, 59, 219, 435, 105, 1001, 323, 2729, 12517, 16607, 57533, 101167, 53829}},
+{20822, 18, 124915, {1, 3, 7, 7, 9, 55, 3, 247, 303, 453, 861, 817, 705, 14337, 15965, 28867, 126763, 204005}},
+{20823, 18, 124938, {1, 1, 3, 7, 1, 39, 15, 39, 359, 313, 1753, 2835, 387, 16223, 10945, 19481, 19995, 29989}},
+{20824, 18, 124945, {1, 1, 1, 5, 3, 31, 103, 123, 493, 1023, 119, 2175, 2273, 11637, 21605, 23349, 100759, 41227}},
+{20825, 18, 124973, {1, 3, 7, 13, 5, 13, 17, 7, 341, 945, 621, 1421, 3893, 5825, 26777, 35497, 13791, 25415}},
+{20826, 18, 124986, {1, 1, 5, 1, 19, 27, 39, 7, 177, 749, 1217, 2133, 6913, 13489, 23713, 1085, 31529, 179741}},
+{20827, 18, 124991, {1, 3, 3, 3, 15, 21, 5, 145, 281, 131, 1347, 19, 4917, 8655, 2515, 36927, 56551, 202039}},
+{20828, 18, 125011, {1, 1, 3, 7, 27, 31, 33, 255, 511, 195, 1493, 2221, 2157, 9303, 3957, 14163, 70435, 215763}},
+{20829, 18, 125014, {1, 3, 3, 15, 31, 41, 33, 37, 239, 865, 375, 2217, 809, 11961, 29393, 52145, 76223, 202623}},
+{20830, 18, 125082, {1, 3, 5, 11, 5, 57, 73, 193, 341, 843, 1817, 231, 65, 5941, 29693, 31751, 57081, 180977}},
+{20831, 18, 125105, {1, 3, 1, 9, 29, 57, 85, 107, 343, 891, 465, 2413, 1965, 7303, 7461, 25857, 110517, 16995}},
+{20832, 18, 125163, {1, 1, 7, 15, 7, 49, 121, 211, 253, 511, 1385, 1205, 33, 7713, 20059, 47353, 3267, 215759}},
+{20833, 18, 125165, {1, 1, 3, 9, 15, 63, 45, 155, 415, 589, 651, 3707, 5429, 4497, 13733, 21231, 18953, 28671}},
+{20834, 18, 125205, {1, 1, 5, 15, 7, 57, 31, 109, 427, 921, 629, 3439, 7615, 4535, 1507, 58931, 49597, 214397}},
+{20835, 18, 125219, {1, 3, 3, 5, 21, 35, 9, 241, 67, 767, 659, 1639, 7797, 5209, 14851, 55311, 108549, 175937}},
+{20836, 18, 125239, {1, 1, 7, 15, 21, 61, 13, 47, 267, 269, 1169, 257, 2481, 8345, 1061, 28119, 127197, 95379}},
+{20837, 18, 125240, {1, 1, 3, 7, 21, 35, 121, 223, 145, 665, 1389, 2105, 5499, 1377, 32417, 39027, 5335, 248315}},
+{20838, 18, 125257, {1, 3, 3, 9, 13, 33, 57, 225, 123, 703, 1049, 709, 7347, 11317, 12339, 23247, 62157, 85931}},
+{20839, 18, 125284, {1, 3, 3, 3, 5, 3, 105, 115, 13, 675, 757, 987, 6429, 13017, 21347, 38829, 82153, 220677}},
+{20840, 18, 125302, {1, 3, 1, 13, 5, 51, 75, 205, 7, 561, 207, 1133, 3303, 1889, 17093, 5933, 48109, 244387}},
+{20841, 18, 125327, {1, 3, 3, 7, 11, 11, 71, 243, 235, 941, 1875, 2387, 1139, 16275, 4537, 18791, 67927, 156759}},
+{20842, 18, 125336, {1, 3, 5, 5, 11, 35, 29, 5, 351, 223, 847, 1539, 4903, 7619, 24907, 37071, 57899, 32981}},
+{20843, 18, 125355, {1, 3, 1, 7, 23, 7, 119, 17, 123, 845, 1423, 2995, 3595, 13287, 31217, 33939, 6891, 156477}},
+{20844, 18, 125363, {1, 1, 1, 9, 11, 55, 121, 85, 175, 757, 1093, 513, 1117, 14049, 22377, 4623, 38511, 51391}},
+{20845, 18, 125365, {1, 1, 7, 1, 17, 1, 7, 185, 173, 841, 61, 2735, 6679, 7617, 17309, 58047, 11791, 228635}},
+{20846, 18, 125372, {1, 1, 5, 5, 1, 1, 61, 57, 37, 857, 531, 2655, 1907, 4245, 3047, 50489, 93447, 116637}},
+{20847, 18, 125378, {1, 3, 5, 7, 27, 47, 121, 95, 73, 63, 539, 137, 1765, 4659, 31141, 24495, 109541, 16421}},
+{20848, 18, 125383, {1, 3, 7, 13, 13, 25, 47, 45, 97, 243, 1509, 3539, 4791, 5627, 31981, 57663, 65359, 32183}},
+{20849, 18, 125387, {1, 1, 1, 7, 15, 57, 117, 249, 183, 849, 557, 833, 5751, 8035, 3371, 11389, 125581, 248799}},
+{20850, 18, 125390, {1, 3, 1, 15, 13, 31, 59, 243, 17, 473, 289, 1527, 649, 2807, 6183, 6173, 74381, 261673}},
+{20851, 18, 125414, {1, 1, 7, 7, 19, 17, 95, 81, 191, 487, 2023, 307, 3261, 13885, 9285, 30831, 114009, 26483}},
+{20852, 18, 125435, {1, 1, 3, 11, 17, 21, 85, 193, 477, 267, 393, 39, 5793, 8621, 25379, 9721, 13947, 44235}},
+{20853, 18, 125466, {1, 1, 7, 5, 27, 33, 93, 9, 471, 751, 1279, 695, 2625, 7061, 29577, 5403, 80705, 77895}},
+{20854, 18, 125481, {1, 1, 3, 11, 7, 25, 125, 9, 233, 935, 1897, 3685, 595, 15499, 43, 29251, 18029, 250231}},
+{20855, 18, 125522, {1, 1, 5, 1, 9, 55, 125, 179, 287, 371, 233, 149, 5639, 5737, 25251, 103, 117015, 35579}},
+{20856, 18, 125531, {1, 1, 5, 9, 17, 33, 69, 15, 209, 521, 1083, 2469, 679, 9307, 31539, 63889, 48825, 126327}},
+{20857, 18, 125544, {1, 3, 5, 15, 15, 41, 105, 121, 21, 935, 721, 445, 6759, 4227, 15227, 54933, 69589, 2689}},
+{20858, 18, 125564, {1, 1, 7, 15, 1, 15, 111, 141, 279, 1013, 825, 1069, 3793, 12929, 153, 11463, 87759, 179987}},
+{20859, 18, 125588, {1, 1, 1, 9, 15, 59, 109, 103, 223, 695, 1979, 1241, 2559, 8627, 10559, 53319, 94311, 245193}},
+{20860, 18, 125602, {1, 1, 5, 3, 1, 41, 51, 129, 297, 15, 637, 2489, 343, 13549, 7707, 36757, 55703, 161043}},
+{20861, 18, 125613, {1, 3, 5, 1, 13, 35, 119, 219, 319, 733, 789, 1343, 8035, 15049, 981, 14477, 13717, 177481}},
+{20862, 18, 125621, {1, 1, 1, 11, 5, 17, 3, 43, 129, 705, 1701, 3635, 1201, 12283, 27443, 54257, 102281, 211859}},
+{20863, 18, 125648, {1, 3, 1, 13, 7, 63, 9, 45, 283, 41, 801, 131, 2797, 13329, 19011, 21055, 122965, 7961}},
+{20864, 18, 125651, {1, 3, 3, 5, 9, 27, 99, 129, 499, 523, 1939, 3661, 455, 12601, 11723, 3727, 32671, 78251}},
+{20865, 18, 125681, {1, 3, 7, 5, 9, 57, 63, 47, 49, 745, 945, 2927, 6659, 1023, 9991, 55379, 105295, 259901}},
+{20866, 18, 125719, {1, 1, 3, 3, 3, 47, 15, 237, 193, 409, 1165, 3581, 719, 3049, 14679, 31559, 7825, 96083}},
+{20867, 18, 125773, {1, 1, 7, 11, 9, 55, 29, 123, 163, 415, 2013, 97, 1471, 1409, 28867, 50405, 99417, 57113}},
+{20868, 18, 125774, {1, 1, 7, 15, 5, 17, 57, 123, 25, 119, 1699, 1289, 3139, 7177, 13465, 33583, 34517, 182669}},
+{20869, 18, 125779, {1, 1, 3, 1, 15, 45, 79, 7, 461, 223, 691, 3071, 6233, 14997, 4083, 65391, 60571, 82929}},
+{20870, 18, 125786, {1, 3, 5, 1, 25, 39, 89, 105, 497, 685, 1921, 133, 4849, 8467, 609, 62183, 123787, 223025}},
+{20871, 18, 125792, {1, 1, 1, 13, 3, 57, 117, 241, 501, 107, 1253, 3097, 603, 10645, 3395, 13997, 112527, 208263}},
+{20872, 18, 125822, {1, 1, 7, 9, 7, 31, 25, 97, 205, 785, 517, 549, 6841, 7097, 9635, 17151, 57135, 105469}},
+{20873, 18, 125828, {1, 3, 7, 1, 25, 35, 43, 75, 179, 1023, 1921, 1529, 2791, 6747, 9135, 61801, 46729, 26821}},
+{20874, 18, 125831, {1, 1, 3, 1, 31, 49, 107, 219, 285, 501, 1503, 3103, 5257, 14561, 31493, 7753, 34375, 260357}},
+{20875, 18, 125837, {1, 3, 7, 13, 15, 7, 75, 57, 329, 67, 1541, 2445, 3069, 6723, 10189, 22913, 110781, 243765}},
+{20876, 18, 125880, {1, 1, 5, 3, 5, 45, 47, 39, 493, 787, 1019, 3933, 535, 1763, 139, 45967, 123167, 115019}},
+{20877, 18, 125891, {1, 3, 1, 3, 23, 59, 93, 139, 349, 973, 1401, 2109, 701, 461, 19199, 21733, 80009, 37239}},
+{20878, 18, 125922, {1, 1, 3, 5, 3, 39, 117, 77, 257, 117, 1991, 3371, 509, 3963, 14579, 62459, 52281, 99209}},
+{20879, 18, 125928, {1, 3, 1, 15, 29, 47, 73, 157, 429, 497, 39, 123, 4851, 12871, 4567, 29453, 90777, 188683}},
+{20880, 18, 125931, {1, 3, 3, 1, 17, 25, 5, 247, 61, 81, 1555, 2167, 6003, 15911, 16023, 7841, 50731, 229163}},
+{20881, 18, 125941, {1, 1, 5, 9, 9, 39, 89, 37, 105, 133, 333, 2863, 7249, 2355, 9407, 28145, 25923, 68827}},
+{20882, 18, 125948, {1, 3, 7, 13, 15, 55, 11, 93, 197, 447, 1793, 1793, 4639, 1869, 1711, 1439, 15899, 106931}},
+{20883, 18, 125960, {1, 1, 5, 13, 23, 11, 67, 155, 511, 363, 1073, 2249, 719, 11167, 7953, 21699, 55735, 47353}},
+{20884, 18, 125973, {1, 1, 3, 3, 21, 59, 123, 227, 65, 695, 1769, 4057, 7071, 1827, 13639, 45711, 84019, 96897}},
+{20885, 18, 126014, {1, 3, 1, 11, 25, 51, 57, 139, 147, 589, 1565, 511, 3629, 7329, 9565, 62893, 85789, 112047}},
+{20886, 18, 126016, {1, 3, 5, 5, 23, 11, 93, 75, 25, 947, 1489, 4081, 3395, 4655, 27853, 41299, 89447, 100971}},
+{20887, 18, 126036, {1, 3, 5, 11, 25, 63, 93, 227, 411, 49, 403, 437, 1739, 8453, 31693, 51439, 89729, 113405}},
+{20888, 18, 126043, {1, 3, 7, 9, 29, 13, 51, 155, 403, 627, 173, 2111, 833, 11453, 17673, 7121, 52943, 114835}},
+{20889, 18, 126062, {1, 1, 5, 13, 11, 11, 105, 101, 309, 577, 1003, 3667, 3489, 11807, 6119, 13773, 89879, 12391}},
+{20890, 18, 126076, {1, 3, 7, 9, 17, 11, 111, 239, 225, 723, 933, 3353, 2003, 5273, 207, 38539, 82539, 209781}},
+{20891, 18, 126116, {1, 1, 7, 13, 15, 53, 69, 105, 155, 445, 353, 617, 5625, 13439, 29223, 60439, 119635, 49643}},
+{20892, 18, 126125, {1, 1, 3, 11, 13, 25, 107, 27, 109, 313, 1721, 2647, 1861, 10631, 17131, 31365, 65319, 102905}},
+{20893, 18, 126145, {1, 1, 1, 7, 21, 29, 39, 167, 341, 115, 1523, 2209, 95, 4399, 3881, 38875, 107691, 132471}},
+{20894, 18, 126152, {1, 1, 1, 13, 15, 61, 125, 23, 301, 407, 1497, 3731, 7013, 5405, 31233, 51701, 45619, 107407}},
+{20895, 18, 126175, {1, 3, 5, 5, 31, 27, 77, 21, 339, 1013, 371, 19, 5733, 2177, 15547, 27595, 6805, 172695}},
+{20896, 18, 126188, {1, 3, 5, 11, 5, 15, 71, 23, 441, 169, 1715, 437, 1791, 293, 13441, 11225, 119119, 223035}},
+{20897, 18, 126199, {1, 3, 1, 5, 11, 15, 95, 127, 433, 789, 899, 2591, 2339, 8237, 20765, 32897, 51511, 58437}},
+{20898, 18, 126205, {1, 3, 5, 9, 11, 57, 103, 5, 401, 51, 1813, 923, 1983, 1853, 21913, 3051, 56309, 19423}},
+{20899, 18, 126213, {1, 1, 3, 15, 3, 3, 41, 5, 231, 35, 391, 185, 7585, 1005, 20311, 11193, 18275, 114131}},
+{20900, 18, 126220, {1, 1, 3, 9, 13, 13, 115, 203, 223, 575, 459, 1839, 3949, 16027, 23137, 13723, 19195, 249337}},
+{20901, 18, 126286, {1, 1, 1, 9, 21, 51, 39, 245, 187, 609, 319, 2927, 3625, 10789, 31291, 45557, 45935, 132447}},
+{20902, 18, 126294, {1, 3, 3, 9, 25, 37, 47, 55, 219, 409, 1927, 553, 3953, 6209, 11807, 11133, 48047, 132437}},
+{20903, 18, 126300, {1, 3, 1, 13, 23, 31, 109, 167, 281, 179, 233, 1603, 7391, 9091, 27021, 31213, 13093, 86017}},
+{20904, 18, 126322, {1, 3, 1, 13, 13, 15, 7, 29, 409, 59, 505, 1307, 6247, 6055, 5531, 59727, 58069, 84049}},
+{20905, 18, 126324, {1, 1, 5, 7, 19, 7, 103, 245, 133, 609, 1087, 2365, 3341, 1689, 18841, 19625, 47413, 63445}},
+{20906, 18, 126343, {1, 1, 7, 3, 11, 27, 79, 75, 97, 355, 493, 2035, 3413, 11835, 9157, 51173, 1, 71797}},
+{20907, 18, 126344, {1, 1, 5, 5, 29, 1, 43, 135, 473, 329, 1197, 1693, 3823, 7723, 24771, 22349, 94383, 41461}},
+{20908, 18, 126430, {1, 3, 3, 15, 25, 9, 79, 213, 317, 615, 541, 441, 505, 13665, 3691, 17825, 49303, 91783}},
+{20909, 18, 126433, {1, 3, 1, 11, 27, 33, 65, 31, 469, 799, 1251, 3357, 5239, 5651, 13317, 28553, 64225, 9805}},
+{20910, 18, 126448, {1, 1, 7, 13, 9, 49, 77, 43, 363, 719, 1943, 1285, 1587, 1047, 29419, 24025, 89901, 229095}},
+{20911, 18, 126451, {1, 1, 1, 15, 19, 57, 33, 243, 111, 183, 497, 603, 923, 1957, 6493, 11833, 7331, 229975}},
+{20912, 18, 126457, {1, 3, 1, 1, 13, 43, 31, 25, 169, 303, 69, 723, 1745, 1025, 14301, 2523, 111887, 179519}},
+{20913, 18, 126458, {1, 3, 1, 5, 31, 55, 11, 103, 391, 881, 1885, 3923, 7507, 377, 29331, 32167, 56915, 44211}},
+{20914, 18, 126463, {1, 1, 7, 1, 27, 55, 33, 141, 393, 73, 701, 3173, 973, 15553, 10219, 51441, 55201, 131055}},
+{20915, 18, 126470, {1, 1, 3, 9, 1, 31, 115, 85, 173, 227, 163, 157, 5569, 8291, 27163, 7581, 8699, 104523}},
+{20916, 18, 126484, {1, 1, 1, 5, 5, 19, 11, 55, 217, 571, 1001, 945, 6237, 1993, 11809, 63893, 60081, 102997}},
+{20917, 18, 126518, {1, 3, 3, 15, 15, 7, 51, 161, 147, 263, 1701, 1079, 3027, 11779, 24885, 16127, 68985, 162975}},
+{20918, 18, 126521, {1, 3, 1, 9, 25, 1, 47, 107, 149, 997, 1779, 2905, 4951, 10345, 31059, 63831, 117219, 251935}},
+{20919, 18, 126547, {1, 3, 3, 9, 5, 23, 83, 95, 399, 343, 1597, 1733, 5959, 9685, 4721, 59109, 113633, 80365}},
+{20920, 18, 126556, {1, 1, 7, 11, 31, 43, 71, 133, 305, 529, 645, 3095, 6273, 4019, 14433, 41609, 64093, 79051}},
+{20921, 18, 126583, {1, 3, 5, 11, 1, 63, 123, 25, 245, 583, 1013, 3275, 2997, 13021, 27515, 16233, 113093, 249101}},
+{20922, 18, 126584, {1, 1, 1, 9, 3, 59, 113, 155, 125, 423, 259, 1559, 3745, 9105, 27673, 36601, 36117, 47953}},
+{20923, 18, 126633, {1, 3, 3, 7, 19, 41, 55, 87, 53, 801, 661, 329, 3391, 7581, 25487, 25751, 120171, 35953}},
+{20924, 18, 126673, {1, 1, 7, 15, 31, 57, 49, 179, 147, 139, 957, 289, 4321, 8747, 53, 46003, 40219, 96855}},
+{20925, 18, 126680, {1, 1, 7, 9, 29, 49, 71, 101, 389, 793, 1355, 3263, 6331, 4869, 28479, 8335, 74653, 8519}},
+{20926, 18, 126686, {1, 1, 1, 13, 1, 19, 31, 161, 261, 679, 1115, 985, 2855, 4395, 15087, 18593, 98535, 52537}},
+{20927, 18, 126689, {1, 1, 3, 11, 15, 51, 79, 7, 75, 75, 753, 2637, 7193, 7961, 21411, 24273, 7543, 6277}},
+{20928, 18, 126702, {1, 3, 1, 5, 5, 51, 67, 191, 201, 777, 587, 1439, 1027, 3759, 31141, 42159, 58475, 7355}},
+{20929, 18, 126710, {1, 3, 5, 3, 15, 37, 11, 251, 53, 799, 739, 2225, 6985, 9183, 12341, 29963, 44101, 23889}},
+{20930, 18, 126722, {1, 1, 3, 3, 5, 33, 81, 223, 89, 531, 301, 305, 2401, 4015, 18607, 65041, 82447, 228487}},
+{20931, 18, 126787, {1, 3, 1, 7, 15, 29, 71, 247, 445, 1005, 1229, 3897, 899, 11175, 6349, 29145, 103153, 90275}},
+{20932, 18, 126789, {1, 3, 3, 7, 15, 7, 75, 13, 417, 719, 121, 1345, 3737, 4119, 15259, 33579, 57727, 111517}},
+{20933, 18, 126794, {1, 3, 7, 3, 31, 11, 49, 61, 405, 741, 1607, 1561, 4655, 9775, 14349, 27431, 91791, 228607}},
+{20934, 18, 126801, {1, 3, 5, 13, 17, 27, 93, 153, 99, 683, 219, 3783, 6963, 1633, 6621, 8133, 5111, 57333}},
+{20935, 18, 126857, {1, 3, 3, 3, 25, 29, 75, 155, 159, 25, 637, 3053, 4737, 5831, 9651, 45331, 100407, 188607}},
+{20936, 18, 126891, {1, 3, 1, 9, 21, 55, 123, 27, 509, 227, 1569, 1379, 7137, 11749, 14257, 38349, 459, 54873}},
+{20937, 18, 126896, {1, 1, 7, 15, 29, 35, 81, 79, 237, 155, 1551, 343, 5127, 3233, 3691, 59917, 7367, 181979}},
+{20938, 18, 126902, {1, 3, 1, 15, 1, 57, 111, 121, 375, 635, 1529, 635, 2337, 6553, 22067, 36047, 80099, 116411}},
+{20939, 18, 126911, {1, 1, 3, 3, 29, 27, 19, 3, 69, 197, 1829, 1907, 5901, 12651, 3295, 7805, 57871, 47571}},
+{20940, 18, 126919, {1, 1, 1, 13, 21, 5, 115, 51, 203, 991, 1731, 1101, 1607, 14323, 12233, 48047, 33969, 147621}},
+{20941, 18, 126943, {1, 3, 3, 1, 25, 55, 41, 31, 101, 551, 1519, 1915, 6961, 13919, 15339, 13141, 107625, 9247}},
+{20942, 18, 126947, {1, 1, 7, 11, 17, 25, 87, 175, 341, 445, 1813, 2995, 3217, 6015, 1637, 65243, 72743, 248715}},
+{20943, 18, 126949, {1, 1, 5, 13, 11, 1, 61, 139, 233, 167, 1363, 1991, 7999, 16289, 25595, 8915, 32205, 169963}},
+{20944, 18, 126953, {1, 1, 1, 13, 31, 33, 67, 57, 121, 477, 755, 2035, 3683, 16205, 5511, 25615, 5169, 128843}},
+{20945, 18, 126971, {1, 3, 5, 15, 31, 1, 89, 29, 493, 379, 1627, 491, 2503, 8105, 30275, 27379, 43905, 46397}},
+{20946, 18, 126976, {1, 1, 7, 9, 31, 41, 127, 121, 61, 561, 223, 3231, 7321, 3683, 15455, 8019, 116739, 96557}},
+{20947, 18, 126982, {1, 1, 5, 9, 19, 41, 25, 65, 111, 535, 611, 1631, 4251, 107, 19787, 40749, 65701, 48749}},
+{20948, 18, 127009, {1, 3, 3, 11, 27, 49, 75, 93, 15, 937, 1517, 1577, 7485, 8713, 15979, 13799, 103057, 144799}},
+{20949, 18, 127021, {1, 1, 7, 7, 7, 29, 3, 63, 177, 781, 2001, 315, 6703, 8055, 19081, 33641, 44279, 87597}},
+{20950, 18, 127027, {1, 1, 7, 11, 29, 53, 83, 223, 275, 951, 1883, 2447, 1815, 9313, 9247, 17185, 8143, 135247}},
+{20951, 18, 127039, {1, 1, 5, 13, 21, 47, 87, 55, 169, 95, 777, 2787, 7227, 11373, 16707, 28237, 30789, 64589}},
+{20952, 18, 127041, {1, 1, 1, 11, 15, 41, 1, 55, 337, 493, 1379, 2505, 6831, 10955, 1875, 21821, 54101, 9379}},
+{20953, 18, 127044, {1, 3, 5, 15, 27, 9, 121, 49, 439, 781, 1457, 1341, 7433, 5879, 13039, 24001, 64059, 157077}},
+{20954, 18, 127059, {1, 1, 1, 9, 19, 55, 89, 37, 255, 345, 215, 4067, 8151, 14253, 12121, 3637, 29185, 60643}},
+{20955, 18, 127071, {1, 3, 1, 7, 31, 39, 71, 29, 71, 83, 1249, 871, 8037, 1001, 25245, 26651, 34509, 123607}},
+{20956, 18, 127075, {1, 1, 3, 11, 13, 21, 15, 171, 255, 373, 429, 2179, 4431, 16087, 17949, 16307, 129877, 186495}},
+{20957, 18, 127126, {1, 3, 3, 9, 17, 45, 75, 175, 3, 403, 215, 1781, 7875, 14113, 6967, 65263, 125885, 232983}},
+{20958, 18, 127129, {1, 1, 7, 9, 21, 57, 73, 105, 163, 583, 587, 2743, 2199, 5187, 5571, 56399, 797, 192405}},
+{20959, 18, 127145, {1, 1, 1, 3, 29, 27, 71, 145, 11, 455, 1505, 2789, 4083, 12345, 14785, 4981, 95121, 134977}},
+{20960, 18, 127154, {1, 1, 1, 1, 1, 27, 1, 145, 473, 483, 83, 3009, 7241, 13633, 15071, 30767, 128103, 94727}},
+{20961, 18, 127165, {1, 3, 5, 15, 17, 51, 71, 21, 237, 65, 901, 3365, 7831, 3027, 8751, 14435, 79445, 172587}},
+{20962, 18, 127171, {1, 1, 5, 1, 9, 49, 49, 31, 395, 339, 343, 1813, 2607, 9347, 11239, 6761, 127623, 43459}},
+{20963, 18, 127197, {1, 1, 1, 1, 13, 23, 71, 131, 225, 229, 117, 889, 8145, 5953, 10679, 38687, 80029, 63689}},
+{20964, 18, 127198, {1, 1, 5, 1, 29, 1, 87, 181, 441, 353, 257, 335, 203, 10897, 24085, 26967, 62573, 170285}},
+{20965, 18, 127207, {1, 1, 7, 3, 3, 39, 47, 135, 353, 977, 89, 259, 6411, 5511, 10697, 57623, 27367, 108451}},
+{20966, 18, 127226, {1, 3, 3, 11, 9, 57, 95, 211, 237, 281, 1703, 2107, 2179, 3411, 32621, 5387, 29971, 102889}},
+{20967, 18, 127240, {1, 1, 1, 13, 27, 49, 47, 49, 413, 985, 649, 1245, 807, 13637, 21741, 32565, 80135, 127971}},
+{20968, 18, 127254, {1, 3, 7, 13, 3, 19, 57, 97, 493, 597, 135, 1689, 5011, 4579, 6093, 28341, 37279, 142197}},
+{20969, 18, 127269, {1, 3, 1, 15, 15, 31, 3, 89, 327, 107, 827, 1111, 261, 6211, 4359, 38553, 43297, 75057}},
+{20970, 18, 127305, {1, 1, 1, 9, 19, 19, 53, 195, 141, 297, 141, 3859, 4173, 12243, 31399, 6353, 110505, 172219}},
+{20971, 18, 127323, {1, 3, 3, 9, 31, 51, 59, 53, 55, 723, 1575, 3399, 8057, 12317, 8393, 1719, 96987, 228955}},
+{20972, 18, 127342, {1, 1, 7, 11, 19, 59, 41, 9, 217, 267, 629, 2977, 4515, 463, 31773, 61765, 78827, 51331}},
+{20973, 18, 127347, {1, 3, 3, 13, 9, 55, 51, 177, 183, 431, 555, 3573, 7977, 3067, 21111, 12971, 78283, 260721}},
+{20974, 18, 127363, {1, 1, 1, 11, 27, 5, 89, 69, 435, 199, 221, 1017, 7703, 7469, 7755, 46319, 37941, 55285}},
+{20975, 18, 127394, {1, 1, 7, 13, 19, 55, 53, 207, 367, 177, 1483, 2857, 3753, 5493, 13349, 14033, 7933, 93457}},
+{20976, 18, 127426, {1, 1, 7, 3, 27, 35, 19, 223, 341, 137, 1195, 1263, 5937, 13517, 55, 6391, 106173, 176503}},
+{20977, 18, 127432, {1, 3, 7, 11, 23, 25, 37, 103, 351, 945, 1205, 2543, 3875, 155, 27777, 36647, 47979, 25113}},
+{20978, 18, 127440, {1, 1, 3, 15, 25, 59, 79, 39, 17, 553, 1119, 3353, 2619, 3851, 5945, 47501, 17369, 89355}},
+{20979, 18, 127462, {1, 1, 1, 13, 9, 55, 13, 173, 207, 925, 1855, 1871, 7851, 1361, 20117, 51677, 77703, 51309}},
+{20980, 18, 127468, {1, 3, 1, 1, 31, 57, 3, 25, 329, 927, 1683, 1447, 6853, 103, 9549, 21393, 415, 122749}},
+{20981, 18, 127473, {1, 1, 5, 5, 31, 61, 31, 213, 85, 531, 931, 999, 1189, 5189, 15127, 47799, 70769, 81901}},
+{20982, 18, 127486, {1, 1, 3, 1, 5, 59, 89, 53, 105, 761, 313, 3013, 4093, 9595, 4287, 51505, 20095, 232933}},
+{20983, 18, 127502, {1, 1, 7, 7, 23, 9, 41, 29, 399, 395, 759, 2541, 2373, 15365, 12083, 49579, 34401, 168121}},
+{20984, 18, 127510, {1, 1, 3, 1, 7, 23, 37, 183, 205, 377, 1081, 1081, 7767, 363, 14571, 16265, 18267, 102155}},
+{20985, 18, 127523, {1, 3, 3, 15, 19, 11, 59, 59, 465, 437, 965, 3707, 3505, 14785, 23605, 12505, 130607, 40693}},
+{20986, 18, 127543, {1, 1, 3, 13, 5, 15, 91, 33, 235, 215, 1997, 2035, 7407, 3203, 27143, 14007, 96411, 593}},
+{20987, 18, 127567, {1, 3, 7, 1, 19, 51, 1, 69, 489, 629, 1731, 393, 6807, 10521, 23971, 45649, 105183, 207351}},
+{20988, 18, 127570, {1, 3, 5, 3, 5, 41, 89, 141, 469, 177, 109, 2439, 7155, 2083, 31993, 13933, 100557, 137255}},
+{20989, 18, 127585, {1, 1, 7, 15, 21, 45, 41, 197, 365, 177, 61, 811, 2535, 5219, 3689, 53129, 42063, 60759}},
+{20990, 18, 127588, {1, 3, 5, 1, 23, 7, 19, 193, 253, 793, 539, 3747, 2611, 16211, 17199, 14875, 95377, 6999}},
+{20991, 18, 127619, {1, 1, 3, 5, 9, 5, 9, 129, 217, 473, 151, 3053, 6981, 8075, 32121, 31995, 41271, 208927}},
+{20992, 18, 127621, {1, 1, 5, 9, 9, 9, 89, 139, 381, 937, 1937, 1879, 8191, 2237, 25629, 51471, 87639, 173697}},
+{20993, 18, 127626, {1, 1, 5, 9, 17, 35, 81, 223, 161, 315, 139, 2597, 2599, 16191, 2567, 54947, 8603, 121589}},
+{20994, 18, 127628, {1, 1, 5, 5, 9, 7, 33, 49, 49, 723, 1013, 1055, 4025, 1471, 30081, 17475, 127931, 63723}},
+{20995, 18, 127640, {1, 3, 7, 7, 9, 49, 107, 17, 335, 119, 1959, 3613, 8129, 11033, 12197, 23803, 112595, 131655}},
+{20996, 18, 127662, {1, 3, 5, 11, 3, 45, 91, 17, 181, 1005, 985, 3045, 853, 8181, 5517, 48515, 16225, 237151}},
+{20997, 18, 127684, {1, 1, 3, 1, 3, 63, 35, 135, 61, 383, 1233, 675, 151, 2157, 18711, 37113, 40353, 61783}},
+{20998, 18, 127687, {1, 3, 5, 5, 29, 3, 105, 11, 351, 761, 165, 911, 6903, 10111, 1779, 24601, 3177, 110301}},
+{20999, 18, 127693, {1, 1, 3, 15, 25, 19, 73, 237, 263, 161, 731, 3853, 7705, 14497, 30799, 32979, 100729, 21761}},
+{21000, 18, 127696, {1, 1, 3, 5, 27, 9, 3, 149, 207, 715, 1435, 2563, 2451, 7951, 26313, 55115, 99423, 231639}},
+{21001, 18, 127708, {1, 1, 5, 15, 11, 51, 13, 47, 311, 969, 2013, 357, 4847, 1831, 2235, 22779, 32375, 40893}},
+{21002, 18, 127711, {1, 1, 3, 9, 21, 45, 11, 99, 275, 849, 443, 1257, 7855, 9121, 6549, 20289, 101337, 13869}},
+{21003, 18, 127722, {1, 1, 1, 15, 25, 27, 15, 111, 215, 437, 1923, 1985, 4603, 15469, 6667, 17941, 50433, 152759}},
+{21004, 18, 127732, {1, 3, 7, 15, 7, 37, 119, 53, 337, 853, 1785, 3507, 3743, 14303, 22757, 5149, 1539, 227051}},
+{21005, 18, 127747, {1, 1, 3, 13, 11, 23, 55, 19, 495, 531, 1021, 3831, 5993, 15819, 2121, 52773, 19775, 94643}},
+{21006, 18, 127767, {1, 1, 3, 3, 23, 55, 55, 69, 457, 755, 1187, 3993, 613, 12691, 1779, 21251, 2293, 236725}},
+{21007, 18, 127771, {1, 1, 5, 9, 23, 27, 61, 125, 113, 99, 503, 699, 6873, 13141, 10649, 65209, 21773, 162749}},
+{21008, 18, 127790, {1, 1, 1, 11, 15, 27, 111, 227, 493, 361, 1071, 607, 1409, 9281, 24515, 26739, 82421, 30463}},
+{21009, 18, 127816, {1, 3, 5, 1, 11, 57, 23, 239, 265, 675, 441, 4031, 5163, 15729, 2741, 26037, 32533, 140645}},
+{21010, 18, 127824, {1, 3, 3, 7, 3, 45, 105, 135, 493, 579, 1707, 2933, 1135, 11891, 3171, 45401, 24993, 175681}},
+{21011, 18, 127833, {1, 1, 1, 11, 11, 3, 67, 213, 483, 9, 1053, 213, 3205, 8487, 16093, 7305, 122591, 31811}},
+{21012, 18, 127869, {1, 1, 5, 13, 19, 31, 13, 65, 29, 929, 343, 463, 1885, 13467, 14997, 22737, 42869, 128239}},
+{21013, 18, 127910, {1, 3, 3, 13, 9, 47, 125, 33, 475, 285, 1901, 2525, 305, 11587, 27309, 30037, 70681, 180425}},
+{21014, 18, 127928, {1, 3, 5, 15, 9, 37, 45, 149, 19, 135, 555, 4037, 5173, 12473, 983, 40923, 28561, 185941}},
+{21015, 18, 127933, {1, 3, 3, 9, 23, 35, 35, 151, 113, 885, 1553, 2233, 351, 4071, 28127, 26109, 12299, 163973}},
+{21016, 18, 127963, {1, 3, 3, 11, 17, 55, 125, 87, 315, 917, 383, 2397, 1573, 9255, 10499, 16051, 99487, 139415}},
+{21017, 18, 127975, {1, 1, 3, 1, 29, 21, 101, 153, 5, 705, 1965, 1447, 8163, 13547, 25929, 28569, 57897, 173229}},
+{21018, 18, 128016, {1, 1, 7, 15, 3, 37, 113, 213, 495, 935, 529, 2299, 6901, 1765, 4255, 14579, 14175, 112333}},
+{21019, 18, 128031, {1, 3, 3, 9, 11, 53, 89, 27, 461, 235, 1525, 3533, 3061, 4351, 12847, 21649, 10843, 60901}},
+{21020, 18, 128059, {1, 1, 5, 1, 17, 11, 17, 157, 387, 887, 2017, 3641, 923, 12659, 19691, 18657, 3127, 218819}},
+{21021, 18, 128074, {1, 3, 1, 9, 5, 3, 49, 215, 379, 765, 1375, 345, 2285, 8197, 9531, 6725, 22475, 203883}},
+{21022, 18, 128107, {1, 1, 3, 9, 19, 41, 13, 233, 97, 755, 249, 2011, 5815, 6317, 4121, 63637, 43353, 154753}},
+{21023, 18, 128122, {1, 3, 7, 15, 31, 25, 93, 197, 455, 979, 1805, 2619, 803, 5705, 1679, 29317, 66477, 159187}},
+{21024, 18, 128157, {1, 1, 1, 13, 11, 25, 61, 233, 339, 171, 559, 427, 3239, 8889, 3711, 19743, 18099, 49201}},
+{21025, 18, 128161, {1, 3, 7, 13, 19, 5, 9, 183, 355, 137, 1767, 1113, 1149, 5791, 4099, 37911, 75945, 115397}},
+{21026, 18, 128200, {1, 1, 3, 13, 27, 25, 121, 3, 337, 195, 1841, 2009, 4181, 3197, 20275, 42493, 7495, 24407}},
+{21027, 18, 128213, {1, 1, 1, 15, 3, 43, 39, 25, 57, 829, 565, 1977, 4027, 11053, 13961, 13965, 4207, 1663}},
+{21028, 18, 128229, {1, 3, 5, 9, 11, 7, 107, 205, 479, 961, 1549, 1701, 6305, 15419, 23331, 46443, 55171, 235109}},
+{21029, 18, 128233, {1, 3, 5, 5, 19, 3, 39, 211, 429, 363, 765, 283, 2469, 1947, 10481, 1969, 95545, 187671}},
+{21030, 18, 128241, {1, 1, 1, 1, 11, 55, 47, 121, 251, 63, 767, 3673, 3233, 14865, 25713, 48443, 79139, 225021}},
+{21031, 18, 128259, {1, 1, 3, 11, 25, 35, 57, 103, 385, 155, 173, 4023, 489, 1733, 14423, 61843, 24793, 9871}},
+{21032, 18, 128295, {1, 3, 1, 15, 9, 29, 99, 187, 471, 877, 1321, 2489, 7439, 4259, 32703, 1459, 42093, 261097}},
+{21033, 18, 128299, {1, 1, 3, 11, 9, 25, 113, 251, 337, 405, 847, 2451, 5649, 3449, 11703, 18271, 108005, 208789}},
+{21034, 18, 128313, {1, 3, 3, 7, 13, 53, 61, 251, 461, 461, 1557, 1215, 6731, 13349, 21003, 11573, 66751, 79733}},
+{21035, 18, 128345, {1, 1, 5, 1, 23, 49, 101, 175, 251, 577, 1667, 2561, 6545, 16305, 18457, 65067, 35843, 123445}},
+{21036, 18, 128362, {1, 1, 5, 3, 7, 9, 61, 107, 395, 137, 559, 2315, 2559, 11929, 4843, 41661, 61361, 146163}},
+{21037, 18, 128375, {1, 3, 1, 5, 1, 3, 43, 251, 329, 289, 323, 2201, 4129, 4963, 27477, 18743, 46551, 93061}},
+{21038, 18, 128376, {1, 1, 7, 3, 17, 63, 21, 159, 447, 377, 69, 2517, 8181, 6043, 3039, 7747, 72465, 41027}},
+{21039, 18, 128406, {1, 1, 1, 1, 13, 3, 45, 93, 391, 509, 867, 1561, 5017, 11851, 24891, 22531, 18993, 129421}},
+{21040, 18, 128410, {1, 3, 3, 11, 15, 1, 127, 9, 161, 321, 2003, 239, 1379, 11903, 13503, 26529, 57725, 214797}},
+{21041, 18, 128416, {1, 1, 1, 13, 31, 11, 17, 25, 1, 645, 675, 735, 2083, 1919, 18977, 4995, 91559, 230463}},
+{21042, 18, 128443, {1, 3, 1, 13, 17, 21, 107, 167, 135, 797, 715, 3275, 5437, 4253, 11671, 14867, 36041, 71751}},
+{21043, 18, 128451, {1, 3, 5, 5, 11, 49, 93, 231, 431, 567, 1605, 3281, 7049, 2947, 863, 39593, 117167, 167301}},
+{21044, 18, 128465, {1, 1, 1, 1, 5, 13, 61, 91, 127, 189, 1879, 3921, 4303, 4831, 6765, 31005, 107627, 80693}},
+{21045, 18, 128466, {1, 3, 1, 3, 1, 49, 61, 9, 467, 891, 105, 317, 137, 12789, 12367, 57455, 39777, 88047}},
+{21046, 18, 128484, {1, 1, 3, 13, 23, 63, 37, 103, 23, 223, 647, 2523, 3211, 14551, 22663, 48237, 54777, 180297}},
+{21047, 18, 128499, {1, 3, 3, 7, 29, 51, 85, 179, 441, 431, 535, 2975, 8083, 8619, 30229, 31421, 54063, 163601}},
+{21048, 18, 128502, {1, 3, 1, 1, 27, 39, 125, 171, 57, 729, 511, 957, 7541, 2347, 1669, 32323, 108531, 69943}},
+{21049, 18, 128524, {1, 3, 3, 7, 1, 33, 89, 245, 95, 21, 699, 1441, 2659, 501, 32323, 39145, 82311, 155479}},
+{21050, 18, 128536, {1, 1, 3, 11, 29, 13, 87, 251, 329, 667, 325, 2411, 7959, 8069, 20817, 42445, 121675, 113421}},
+{21051, 18, 128541, {1, 1, 1, 7, 9, 57, 109, 237, 325, 535, 89, 1285, 5649, 13673, 29375, 51553, 81723, 11003}},
+{21052, 18, 128542, {1, 3, 1, 1, 13, 5, 31, 109, 157, 817, 1303, 725, 1841, 5503, 2255, 34637, 93603, 82825}},
+{21053, 18, 128592, {1, 3, 7, 7, 5, 33, 39, 233, 217, 157, 357, 2727, 3565, 1539, 5317, 23967, 30375, 260381}},
+{21054, 18, 128598, {1, 1, 5, 3, 23, 51, 45, 181, 353, 519, 949, 3043, 1517, 3387, 15081, 5997, 31523, 80007}},
+{21055, 18, 128623, {1, 1, 3, 5, 23, 21, 83, 51, 275, 629, 1433, 1821, 3761, 2367, 32089, 13813, 99629, 64603}},
+{21056, 18, 128632, {1, 1, 5, 15, 11, 49, 69, 197, 193, 459, 1915, 787, 3631, 5219, 11109, 12311, 56625, 117439}},
+{21057, 18, 128671, {1, 3, 3, 3, 31, 29, 57, 27, 43, 231, 777, 2139, 2609, 12273, 23777, 4151, 51749, 110013}},
+{21058, 18, 128713, {1, 1, 5, 13, 9, 63, 83, 69, 225, 913, 99, 1167, 5279, 14163, 3979, 55151, 84387, 234583}},
+{21059, 18, 128724, {1, 1, 7, 5, 9, 57, 87, 23, 335, 403, 1843, 725, 5187, 4137, 24299, 44807, 98523, 217815}},
+{21060, 18, 128731, {1, 3, 3, 3, 3, 23, 115, 229, 193, 655, 1205, 3159, 1935, 113, 20943, 32917, 69633, 2133}},
+{21061, 18, 128761, {1, 3, 3, 1, 17, 5, 59, 139, 75, 185, 1951, 3689, 4997, 2761, 8673, 41783, 75075, 101063}},
+{21062, 18, 128767, {1, 3, 1, 13, 1, 51, 63, 127, 67, 743, 1049, 2055, 4249, 131, 8153, 50237, 28135, 76059}},
+{21063, 18, 128782, {1, 3, 7, 13, 5, 39, 83, 63, 429, 573, 1915, 3801, 2223, 1585, 16997, 45571, 23311, 108099}},
+{21064, 18, 128793, {1, 3, 1, 3, 15, 49, 19, 65, 433, 401, 1901, 3653, 2399, 15171, 9695, 30257, 104877, 181221}},
+{21065, 18, 128805, {1, 3, 1, 1, 25, 37, 89, 7, 81, 343, 949, 3535, 1681, 10089, 23513, 3897, 127083, 214005}},
+{21066, 18, 128820, {1, 3, 7, 13, 1, 1, 123, 89, 433, 541, 1579, 931, 3459, 11095, 20729, 13117, 59323, 90309}},
+{21067, 18, 128830, {1, 1, 7, 1, 19, 9, 31, 211, 271, 25, 1053, 2249, 6549, 12785, 16947, 55633, 70155, 253741}},
+{21068, 18, 128842, {1, 3, 5, 9, 7, 49, 11, 251, 101, 795, 1015, 2037, 1239, 10151, 22179, 749, 2373, 224517}},
+{21069, 18, 128852, {1, 3, 7, 15, 21, 19, 15, 59, 439, 621, 1081, 3041, 1587, 3077, 2319, 51135, 110513, 222551}},
+{21070, 18, 128859, {1, 1, 5, 5, 9, 61, 49, 97, 361, 647, 351, 1977, 3023, 10213, 6889, 8753, 72203, 37521}},
+{21071, 18, 128866, {1, 3, 3, 1, 7, 29, 51, 117, 259, 81, 1263, 1829, 6541, 5699, 30367, 61325, 78795, 3491}},
+{21072, 18, 128875, {1, 1, 1, 5, 5, 23, 19, 255, 267, 251, 239, 3561, 6771, 10647, 4129, 40285, 11041, 27023}},
+{21073, 18, 128892, {1, 1, 7, 5, 29, 17, 121, 91, 427, 51, 243, 1617, 5389, 3633, 14105, 5329, 109507, 93719}},
+{21074, 18, 128896, {1, 3, 7, 5, 7, 59, 107, 89, 181, 719, 1029, 585, 2415, 9175, 11605, 9271, 12105, 42503}},
+{21075, 18, 128914, {1, 3, 5, 15, 27, 15, 83, 223, 489, 901, 1823, 1515, 6295, 12509, 27179, 181, 29813, 66163}},
+{21076, 18, 128935, {1, 1, 7, 15, 5, 9, 79, 29, 201, 391, 609, 935, 4025, 201, 8333, 24557, 33739, 257979}},
+{21077, 18, 128964, {1, 3, 3, 9, 9, 19, 55, 211, 347, 943, 559, 467, 1363, 10249, 7109, 41293, 28035, 205889}},
+{21078, 18, 128973, {1, 1, 5, 3, 21, 25, 25, 163, 95, 119, 789, 1679, 3845, 1427, 25531, 13375, 121029, 194845}},
+{21079, 18, 129001, {1, 1, 5, 3, 31, 21, 83, 27, 17, 59, 885, 3889, 4795, 4383, 28739, 55129, 10387, 176437}},
+{21080, 18, 129007, {1, 3, 1, 5, 31, 39, 37, 79, 433, 313, 1155, 3025, 6141, 10695, 27819, 28227, 32161, 250515}},
+{21081, 18, 129012, {1, 1, 5, 9, 27, 41, 3, 129, 235, 621, 1171, 3305, 6309, 5323, 15049, 16301, 13817, 238521}},
+{21082, 18, 129021, {1, 3, 7, 7, 27, 31, 63, 143, 183, 625, 1627, 3093, 6597, 14089, 30197, 60411, 66221, 221691}},
+{21083, 18, 129026, {1, 3, 7, 13, 21, 15, 59, 67, 441, 113, 1229, 1587, 5889, 6691, 10641, 11865, 89791, 82867}},
+{21084, 18, 129055, {1, 1, 7, 9, 13, 21, 53, 145, 235, 877, 2005, 1005, 7137, 6091, 19611, 25959, 124019, 216269}},
+{21085, 18, 129071, {1, 3, 7, 9, 17, 63, 5, 245, 397, 351, 1613, 4079, 7235, 4397, 18951, 11609, 71593, 148615}},
+{21086, 18, 129093, {1, 3, 3, 11, 5, 59, 65, 221, 237, 527, 861, 397, 249, 15273, 8415, 61185, 59419, 98115}},
+{21087, 18, 129105, {1, 1, 3, 5, 5, 59, 17, 247, 3, 765, 835, 1131, 3985, 9021, 18067, 28525, 86513, 250227}},
+{21088, 18, 129124, {1, 3, 7, 15, 25, 47, 119, 143, 143, 283, 1791, 59, 8171, 12577, 17079, 9809, 100299, 63977}},
+{21089, 18, 129148, {1, 3, 5, 13, 1, 47, 93, 159, 199, 863, 1279, 77, 4719, 3623, 30713, 39271, 126299, 130297}},
+{21090, 18, 129151, {1, 1, 5, 3, 23, 11, 119, 187, 57, 373, 747, 1507, 5165, 12929, 903, 49041, 70215, 117113}},
+{21091, 18, 129155, {1, 1, 5, 1, 3, 59, 23, 77, 151, 77, 627, 2865, 7055, 10469, 12095, 20481, 13429, 47573}},
+{21092, 18, 129161, {1, 3, 1, 13, 27, 13, 115, 233, 343, 407, 1321, 4011, 5589, 15369, 23495, 4435, 75421, 229325}},
+{21093, 18, 129200, {1, 3, 3, 3, 5, 51, 89, 53, 275, 279, 203, 2829, 4415, 4735, 25417, 17633, 99445, 183945}},
+{21094, 18, 129224, {1, 3, 3, 15, 7, 9, 91, 63, 143, 945, 453, 4001, 3943, 7285, 9359, 27507, 8571, 31827}},
+{21095, 18, 129230, {1, 3, 3, 11, 15, 49, 103, 25, 273, 791, 145, 2203, 4721, 7709, 25085, 33937, 98693, 97445}},
+{21096, 18, 129237, {1, 1, 5, 15, 9, 13, 87, 27, 331, 137, 1031, 585, 7841, 12213, 32259, 46953, 17813, 203379}},
+{21097, 18, 129298, {1, 3, 1, 5, 29, 53, 121, 179, 21, 311, 991, 2145, 6577, 12889, 8763, 46629, 128093, 105033}},
+{21098, 18, 129300, {1, 3, 1, 9, 7, 29, 57, 137, 333, 109, 615, 749, 2665, 13087, 13989, 41857, 102937, 125183}},
+{21099, 18, 129316, {1, 1, 5, 5, 3, 23, 107, 5, 319, 503, 1209, 47, 349, 11681, 28521, 44707, 112887, 232275}},
+{21100, 18, 129345, {1, 3, 3, 13, 13, 51, 13, 5, 293, 15, 555, 135, 2565, 13325, 30411, 14837, 65591, 249205}},
+{21101, 18, 129351, {1, 3, 5, 13, 17, 3, 73, 255, 447, 699, 503, 3655, 7735, 12163, 6167, 15027, 103831, 146395}},
+{21102, 18, 129352, {1, 3, 1, 13, 5, 9, 27, 45, 397, 463, 1739, 3193, 6731, 7533, 11217, 22359, 82603, 231613}},
+{21103, 18, 129363, {1, 1, 3, 15, 5, 43, 73, 191, 53, 187, 1905, 745, 1571, 9013, 8515, 59527, 104671, 227063}},
+{21104, 18, 129393, {1, 1, 3, 1, 5, 47, 57, 179, 433, 979, 147, 1701, 4019, 6855, 24487, 65495, 69919, 6659}},
+{21105, 18, 129410, {1, 3, 3, 1, 17, 17, 13, 75, 163, 781, 421, 1573, 2519, 9243, 20693, 60909, 65661, 208125}},
+{21106, 18, 129415, {1, 3, 5, 7, 27, 57, 39, 79, 157, 415, 729, 3651, 3581, 9443, 6409, 45993, 99051, 140977}},
+{21107, 18, 129449, {1, 3, 3, 13, 1, 7, 109, 77, 423, 185, 97, 3719, 2355, 10593, 2421, 37339, 24961, 24305}},
+{21108, 18, 129477, {1, 3, 5, 13, 17, 7, 125, 43, 453, 43, 643, 3757, 3721, 16083, 20871, 26451, 95201, 29153}},
+{21109, 18, 129501, {1, 1, 7, 3, 13, 49, 99, 253, 59, 21, 445, 3677, 6683, 2165, 32367, 55249, 5991, 155033}},
+{21110, 18, 129518, {1, 1, 3, 9, 21, 9, 15, 219, 175, 631, 665, 2455, 4701, 10639, 13907, 26937, 58867, 259861}},
+{21111, 18, 129520, {1, 3, 5, 5, 23, 5, 39, 233, 27, 811, 1435, 625, 4703, 3699, 20763, 50047, 123875, 10129}},
+{21112, 18, 129545, {1, 1, 7, 5, 23, 1, 49, 223, 309, 691, 953, 575, 5279, 10515, 11519, 35387, 48417, 134001}},
+{21113, 18, 129563, {1, 1, 7, 11, 3, 15, 125, 109, 39, 713, 1823, 1613, 4347, 6839, 29511, 26865, 102077, 31425}},
+{21114, 18, 129594, {1, 1, 1, 7, 31, 43, 13, 221, 115, 993, 1155, 1641, 1063, 2065, 18909, 45769, 65331, 188455}},
+{21115, 18, 129608, {1, 1, 7, 13, 21, 9, 59, 7, 79, 217, 2009, 667, 7685, 14761, 20149, 44133, 41037, 78369}},
+{21116, 18, 129616, {1, 3, 1, 9, 23, 57, 1, 193, 77, 681, 1135, 3657, 8149, 3559, 25011, 55027, 121903, 240157}},
+{21117, 18, 129652, {1, 3, 3, 5, 31, 41, 59, 5, 159, 627, 1569, 23, 2311, 2239, 20811, 54931, 130949, 193071}},
+{21118, 18, 129659, {1, 1, 1, 1, 27, 45, 43, 1, 381, 801, 451, 1361, 1611, 5379, 27819, 8949, 4953, 222335}},
+{21119, 18, 129680, {1, 1, 7, 7, 7, 11, 101, 17, 197, 561, 297, 159, 7443, 7273, 819, 23487, 24927, 151781}},
+{21120, 18, 129692, {1, 3, 1, 3, 15, 43, 119, 193, 205, 835, 7, 689, 8045, 11167, 19521, 65075, 87265, 53669}},
+{21121, 18, 129738, {1, 3, 7, 7, 9, 51, 43, 209, 239, 415, 995, 4037, 1219, 2683, 30459, 36161, 111157, 184551}},
+{21122, 18, 129764, {1, 3, 7, 11, 27, 3, 81, 43, 407, 463, 231, 3545, 2691, 5235, 22053, 37233, 98757, 149111}},
+{21123, 18, 129782, {1, 3, 1, 5, 17, 25, 47, 185, 487, 403, 1063, 1445, 4457, 15443, 11693, 54823, 131001, 9813}},
+{21124, 18, 129793, {1, 3, 5, 3, 5, 35, 127, 253, 173, 491, 133, 3575, 1981, 12735, 26021, 61615, 74615, 159829}},
+{21125, 18, 129820, {1, 1, 5, 9, 13, 37, 67, 155, 317, 389, 603, 4061, 3527, 9315, 32331, 43145, 82511, 240133}},
+{21126, 18, 129824, {1, 1, 5, 1, 21, 41, 89, 3, 61, 627, 1301, 2073, 447, 8139, 2509, 52075, 50687, 240239}},
+{21127, 18, 129829, {1, 3, 7, 13, 25, 61, 117, 107, 175, 7, 1173, 561, 5777, 10525, 20713, 34987, 48005, 214361}},
+{21128, 18, 129848, {1, 3, 7, 15, 25, 31, 127, 147, 177, 881, 95, 2115, 4765, 10485, 9253, 721, 193, 222459}},
+{21129, 18, 129854, {1, 3, 5, 3, 3, 13, 47, 77, 441, 1001, 215, 2365, 3603, 405, 11401, 14523, 65755, 258229}},
+{21130, 18, 129861, {1, 1, 3, 9, 19, 29, 71, 153, 77, 613, 1815, 2033, 1821, 15497, 18805, 28851, 88247, 143115}},
+{21131, 18, 129879, {1, 3, 1, 11, 21, 19, 37, 35, 427, 887, 1977, 1961, 3619, 10739, 30115, 55937, 102045, 110929}},
+{21132, 18, 129886, {1, 3, 3, 13, 21, 27, 49, 15, 405, 629, 2015, 867, 2121, 13789, 19225, 22343, 105629, 123113}},
+{21133, 18, 129907, {1, 1, 1, 1, 17, 19, 55, 207, 507, 1001, 1753, 315, 2799, 8643, 1519, 4057, 16599, 222223}},
+{21134, 18, 129949, {1, 1, 5, 7, 21, 37, 63, 53, 103, 261, 595, 389, 6041, 11127, 23625, 61683, 80953, 255891}},
+{21135, 18, 129953, {1, 1, 1, 5, 25, 21, 81, 233, 79, 57, 1311, 3965, 7747, 687, 32149, 397, 4551, 37657}},
+{21136, 18, 129980, {1, 1, 1, 5, 9, 19, 87, 67, 325, 157, 317, 591, 1401, 8275, 20413, 39529, 75349, 183679}},
+{21137, 18, 129998, {1, 3, 3, 15, 9, 3, 83, 205, 195, 599, 829, 3109, 3705, 13991, 8781, 41555, 31689, 86933}},
+{21138, 18, 130031, {1, 3, 5, 1, 3, 9, 37, 235, 271, 883, 561, 1473, 7693, 177, 14113, 19507, 75221, 67517}},
+{21139, 18, 130043, {1, 1, 1, 9, 7, 29, 87, 189, 239, 429, 537, 1657, 6373, 2449, 17621, 19649, 77235, 102775}},
+{21140, 18, 130057, {1, 1, 7, 7, 1, 43, 69, 207, 241, 561, 1809, 3119, 4657, 15797, 18751, 52169, 105005, 172657}},
+{21141, 18, 130065, {1, 1, 7, 5, 5, 59, 67, 231, 27, 435, 1073, 2689, 229, 733, 1579, 52289, 110285, 76721}},
+{21142, 18, 130087, {1, 3, 5, 9, 31, 19, 87, 41, 489, 705, 1363, 963, 5865, 8237, 10295, 43169, 81561, 177209}},
+{21143, 18, 130091, {1, 3, 3, 1, 25, 39, 63, 255, 403, 625, 1601, 71, 6609, 4165, 21987, 31269, 25473, 17063}},
+{21144, 18, 130096, {1, 3, 3, 11, 19, 13, 101, 245, 17, 687, 1037, 3345, 7257, 13081, 5131, 29003, 72319, 223505}},
+{21145, 18, 130101, {1, 3, 3, 3, 11, 49, 107, 29, 463, 465, 977, 4007, 2121, 4821, 1465, 53725, 36783, 247057}},
+{21146, 18, 130111, {1, 1, 1, 3, 1, 43, 71, 49, 261, 965, 1041, 3951, 3791, 2503, 26009, 52039, 4639, 141281}},
+{21147, 18, 130126, {1, 1, 3, 5, 29, 45, 79, 33, 119, 491, 1403, 1637, 853, 5609, 29853, 16435, 117877, 58443}},
+{21148, 18, 130137, {1, 1, 3, 5, 13, 17, 109, 187, 201, 705, 235, 1485, 7673, 6335, 3341, 20451, 64697, 129519}},
+{21149, 18, 130138, {1, 1, 7, 13, 11, 41, 95, 81, 135, 783, 1293, 2095, 3599, 10175, 3205, 56915, 131, 19281}},
+{21150, 18, 130149, {1, 3, 5, 9, 13, 19, 53, 223, 283, 733, 1915, 3029, 2779, 8133, 28163, 37263, 91245, 1927}},
+{21151, 18, 130177, {1, 3, 3, 3, 1, 55, 41, 123, 209, 195, 1423, 2467, 3809, 11169, 23593, 8703, 40975, 175651}},
+{21152, 18, 130180, {1, 3, 7, 9, 31, 57, 31, 115, 415, 445, 557, 3971, 1565, 15223, 7799, 10463, 117387, 225127}},
+{21153, 18, 130214, {1, 3, 5, 11, 31, 19, 3, 63, 315, 501, 903, 1925, 3393, 16149, 11013, 15483, 70765, 279}},
+{21154, 18, 130228, {1, 3, 3, 9, 29, 21, 13, 227, 263, 815, 1259, 2549, 955, 9237, 16083, 38891, 31145, 731}},
+{21155, 18, 130240, {1, 3, 3, 5, 27, 23, 33, 189, 107, 655, 889, 1549, 7315, 13341, 12721, 59339, 54503, 91679}},
+{21156, 18, 130267, {1, 3, 7, 5, 15, 9, 1, 255, 451, 91, 1279, 2359, 5913, 5215, 23161, 29327, 45275, 206709}},
+{21157, 18, 130280, {1, 3, 3, 9, 9, 41, 75, 91, 87, 695, 335, 3375, 7307, 14095, 5359, 7815, 9339, 46387}},
+{21158, 18, 130294, {1, 1, 3, 15, 5, 47, 69, 231, 423, 255, 1335, 3395, 2799, 8955, 31445, 59849, 104955, 240587}},
+{21159, 18, 130306, {1, 3, 5, 7, 7, 9, 21, 209, 321, 5, 653, 2199, 3657, 6397, 20229, 32349, 54543, 47971}},
+{21160, 18, 130325, {1, 3, 7, 11, 31, 21, 85, 49, 197, 865, 53, 609, 1867, 14503, 12671, 61703, 39245, 8493}},
+{21161, 18, 130398, {1, 3, 1, 13, 27, 31, 119, 247, 209, 65, 1729, 1563, 1597, 1617, 26597, 50139, 108667, 77035}},
+{21162, 18, 130402, {1, 1, 5, 13, 3, 49, 53, 219, 71, 1013, 1239, 3725, 117, 9273, 8277, 32619, 45933, 71509}},
+{21163, 18, 130421, {1, 3, 7, 13, 1, 3, 119, 153, 79, 555, 429, 1221, 3725, 6073, 1295, 7187, 117709, 258911}},
+{21164, 18, 130438, {1, 3, 3, 13, 1, 13, 105, 185, 81, 989, 563, 3761, 6725, 4699, 10539, 50247, 95307, 211927}},
+{21165, 18, 130441, {1, 3, 7, 3, 21, 11, 45, 81, 495, 391, 1437, 3495, 3789, 13701, 9479, 42505, 22561, 135019}},
+{21166, 18, 130475, {1, 3, 3, 11, 7, 61, 65, 211, 269, 997, 385, 3843, 4905, 2939, 28551, 19515, 25177, 68137}},
+{21167, 18, 130486, {1, 1, 3, 3, 3, 47, 73, 127, 15, 977, 209, 1791, 4711, 6733, 29093, 36311, 13665, 240603}},
+{21168, 18, 130503, {1, 3, 5, 5, 19, 39, 29, 211, 463, 755, 1723, 397, 213, 14009, 22701, 7131, 35587, 183885}},
+{21169, 18, 130551, {1, 3, 5, 9, 11, 29, 7, 25, 381, 631, 1343, 2255, 2535, 3239, 7287, 14161, 69295, 85245}},
+{21170, 18, 130574, {1, 1, 5, 5, 17, 47, 19, 217, 289, 411, 1855, 323, 4109, 2601, 5835, 61909, 99333, 99959}},
+{21171, 18, 130602, {1, 1, 3, 11, 1, 51, 121, 207, 403, 993, 1171, 3451, 3389, 957, 22125, 9333, 110775, 54125}},
+{21172, 18, 130612, {1, 3, 5, 15, 9, 51, 13, 251, 203, 861, 321, 2017, 6933, 10785, 20089, 65213, 105451, 117319}},
+{21173, 18, 130621, {1, 3, 3, 15, 19, 63, 89, 217, 269, 723, 57, 1923, 4267, 4895, 2191, 21605, 62401, 11063}},
+{21174, 18, 130633, {1, 3, 1, 3, 21, 47, 103, 75, 167, 989, 1401, 575, 3717, 10373, 21321, 5487, 36063, 140411}},
+{21175, 18, 130684, {1, 1, 7, 15, 19, 29, 121, 197, 429, 773, 901, 1875, 291, 11395, 31459, 55041, 49263, 185143}},
+{21176, 18, 130688, {1, 3, 3, 1, 19, 17, 19, 21, 41, 885, 1665, 547, 5887, 6205, 3317, 59399, 125559, 82721}},
+{21177, 18, 130698, {1, 3, 1, 9, 15, 39, 81, 9, 279, 33, 1287, 3035, 5759, 10647, 3933, 20953, 3137, 30693}},
+{21178, 18, 130700, {1, 3, 5, 13, 3, 33, 33, 169, 233, 83, 467, 3719, 5617, 6165, 15631, 56059, 95541, 245233}},
+{21179, 18, 130712, {1, 3, 5, 13, 5, 21, 81, 9, 413, 247, 1307, 3363, 3383, 11525, 1259, 8735, 36507, 98359}},
+{21180, 18, 130739, {1, 1, 1, 13, 17, 49, 105, 131, 385, 309, 1295, 565, 8031, 15391, 31263, 52657, 102721, 212195}},
+{21181, 18, 130748, {1, 3, 1, 7, 13, 41, 21, 103, 237, 649, 55, 1565, 6327, 8743, 15457, 29975, 34165, 80839}},
+{21182, 18, 130774, {1, 3, 5, 11, 15, 31, 121, 219, 375, 159, 731, 59, 3205, 15039, 10023, 46209, 34619, 110253}},
+{21183, 18, 130783, {1, 3, 3, 11, 31, 19, 79, 185, 363, 635, 463, 987, 2681, 6405, 30077, 21173, 14213, 58095}},
+{21184, 18, 130802, {1, 1, 5, 13, 23, 37, 57, 111, 293, 553, 269, 3393, 345, 1983, 1097, 47217, 22281, 212607}},
+{21185, 18, 130811, {1, 3, 5, 7, 7, 33, 65, 61, 185, 411, 187, 641, 6437, 4625, 17547, 38941, 81119, 48651}},
+{21186, 18, 130836, {1, 1, 7, 3, 19, 25, 39, 243, 139, 465, 691, 713, 7879, 14539, 31669, 35871, 130681, 255929}},
+{21187, 18, 130840, {1, 3, 1, 1, 3, 43, 87, 13, 179, 835, 719, 1189, 7207, 5863, 6077, 20669, 35469, 211155}},
+{21188, 18, 130856, {1, 3, 7, 13, 25, 59, 97, 129, 151, 985, 739, 1919, 7729, 14057, 21721, 17603, 82797, 181319}},
+{21189, 18, 130864, {1, 1, 7, 7, 5, 3, 21, 141, 379, 257, 207, 597, 4051, 7563, 25481, 59427, 45449, 61159}},
+{21190, 18, 130873, {1, 3, 3, 9, 11, 25, 5, 29, 131, 603, 637, 189, 4033, 13099, 15219, 4447, 73501, 135795}},
+{21191, 18, 130918, {1, 3, 1, 9, 1, 49, 57, 227, 141, 543, 1499, 3525, 3127, 11191, 4071, 47003, 7431, 155137}},
+{21192, 18, 130927, {1, 3, 1, 11, 27, 31, 15, 31, 113, 135, 1251, 245, 6965, 14263, 5679, 55201, 121453, 132503}},
+{21193, 18, 130929, {1, 1, 5, 15, 7, 23, 67, 163, 57, 513, 1809, 1343, 6165, 199, 31169, 30803, 86705, 71103}},
+{21194, 18, 130958, {1, 1, 3, 1, 15, 9, 75, 143, 273, 797, 819, 4037, 2305, 4841, 15697, 41191, 38187, 174131}},
+{21195, 18, 130966, {1, 3, 7, 7, 3, 55, 65, 135, 423, 185, 299, 2221, 7987, 4223, 28183, 32273, 95941, 260297}},
+{21196, 18, 130970, {1, 1, 7, 7, 7, 11, 67, 109, 507, 673, 1555, 2537, 7553, 4659, 3945, 20839, 32539, 43053}},
+{21197, 18, 130976, {1, 1, 7, 15, 1, 47, 61, 73, 211, 397, 1785, 4063, 6461, 13725, 11299, 17565, 80063, 118271}},
+{21198, 18, 131006, {1, 1, 7, 5, 29, 27, 97, 105, 379, 153, 915, 2795, 4933, 6729, 21207, 9995, 70241, 85641}},
+{21199, 18, 131008, {1, 3, 5, 5, 23, 13, 41, 67, 127, 649, 1351, 3597, 7077, 4989, 14649, 17401, 70883, 239841}},
+{21200, 18, 131020, {1, 1, 5, 1, 19, 1, 83, 3, 425, 873, 1943, 3935, 4257, 14587, 11829, 55217, 21963, 39683}},
+{21201, 18, 131059, {1, 1, 7, 11, 15, 7, 37, 239, 337, 245, 1557, 3681, 7357, 9639, 27367, 26869, 114603, 86317}}
+};
diff --git a/intern/cycles/scene/stats.cpp b/intern/cycles/scene/stats.cpp
new file mode 100644
index 00000000000..5c3cff232f4
--- /dev/null
+++ b/intern/cycles/scene/stats.cpp
@@ -0,0 +1,382 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/stats.h"
+#include "scene/object.h"
+#include "util/util_algorithm.h"
+#include "util/util_foreach.h"
+#include "util/util_string.h"
+
+CCL_NAMESPACE_BEGIN
+
+static int kIndentNumSpaces = 2;
+
+/* Named size entry. */
+
+namespace {
+
+bool namedSizeEntryComparator(const NamedSizeEntry &a, const NamedSizeEntry &b)
+{
+  /* We sort in descending order. */
+  return a.size > b.size;
+}
+
+bool namedTimeEntryComparator(const NamedTimeEntry &a, const NamedTimeEntry &b)
+{
+  /* We sort in descending order. */
+  return a.time > b.time;
+}
+
+bool namedTimeSampleEntryComparator(const NamedNestedSampleStats &a,
+                                    const NamedNestedSampleStats &b)
+{
+  return a.sum_samples > b.sum_samples;
+}
+
+bool namedSampleCountPairComparator(const NamedSampleCountPair &a, const NamedSampleCountPair &b)
+{
+  return a.samples > b.samples;
+}
+
+}  // namespace
+
+NamedSizeEntry::NamedSizeEntry() : name(""), size(0)
+{
+}
+
+NamedSizeEntry::NamedSizeEntry(const string &name, size_t size) : name(name), size(size)
+{
+}
+
+NamedTimeEntry::NamedTimeEntry() : name(""), time(0)
+{
+}
+
+NamedTimeEntry::NamedTimeEntry(const string &name, double time) : name(name), time(time)
+{
+}
+
+/* Named size statistics. */
+
+NamedSizeStats::NamedSizeStats() : total_size(0)
+{
+}
+
+void NamedSizeStats::add_entry(const NamedSizeEntry &entry)
+{
+  total_size += entry.size;
+  entries.push_back(entry);
+}
+
+string NamedSizeStats::full_report(int indent_level)
+{
+  const string indent(indent_level * kIndentNumSpaces, ' ');
+  const string double_indent = indent + indent;
+  string result = "";
+  result += string_printf("%sTotal memory: %s (%s)\n",
+                          indent.c_str(),
+                          string_human_readable_size(total_size).c_str(),
+                          string_human_readable_number(total_size).c_str());
+  sort(entries.begin(), entries.end(), namedSizeEntryComparator);
+  foreach (const NamedSizeEntry &entry, entries) {
+    result += string_printf("%s%-32s %s (%s)\n",
+                            double_indent.c_str(),
+                            entry.name.c_str(),
+                            string_human_readable_size(entry.size).c_str(),
+                            string_human_readable_number(entry.size).c_str());
+  }
+  return result;
+}
+
+string NamedTimeStats::full_report(int indent_level)
+{
+  const string indent(indent_level * kIndentNumSpaces, ' ');
+  const string double_indent = indent + indent;
+  string result = "";
+  result += string_printf("%sTotal time: %fs\n", indent.c_str(), total_time);
+  sort(entries.begin(), entries.end(), namedTimeEntryComparator);
+  foreach (const NamedTimeEntry &entry, entries) {
+    result += string_printf(
+        "%s%-40s %fs\n", double_indent.c_str(), entry.name.c_str(), entry.time);
+  }
+  return result;
+}
+
+/* Named time sample statistics. */
+
+NamedNestedSampleStats::NamedNestedSampleStats() : name(""), self_samples(0), sum_samples(0)
+{
+}
+
+NamedNestedSampleStats::NamedNestedSampleStats(const string &name, uint64_t samples)
+    : name(name), self_samples(samples), sum_samples(samples)
+{
+}
+
+NamedNestedSampleStats &NamedNestedSampleStats::add_entry(const string &name_, uint64_t samples_)
+{
+  entries.push_back(NamedNestedSampleStats(name_, samples_));
+  return entries[entries.size() - 1];
+}
+
+void NamedNestedSampleStats::update_sum()
+{
+  sum_samples = self_samples;
+  foreach (NamedNestedSampleStats &entry, entries) {
+    entry.update_sum();
+    sum_samples += entry.sum_samples;
+  }
+}
+
+string NamedNestedSampleStats::full_report(int indent_level, uint64_t total_samples)
+{
+  update_sum();
+
+  if (total_samples == 0) {
+    total_samples = sum_samples;
+  }
+
+  const string indent(indent_level * kIndentNumSpaces, ' ');
+
+  const double sum_percent = 100 * ((double)sum_samples) / total_samples;
+  const double sum_seconds = sum_samples * 0.001;
+  const double self_percent = 100 * ((double)self_samples) / total_samples;
+  const double self_seconds = self_samples * 0.001;
+  string info = string_printf("%-32s: Total %3.2f%% (%.2fs), Self %3.2f%% (%.2fs)\n",
+                              name.c_str(),
+                              sum_percent,
+                              sum_seconds,
+                              self_percent,
+                              self_seconds);
+  string result = indent + info;
+
+  sort(entries.begin(), entries.end(), namedTimeSampleEntryComparator);
+  foreach (NamedNestedSampleStats &entry, entries) {
+    result += entry.full_report(indent_level + 1, total_samples);
+  }
+  return result;
+}
+
+/* Named sample count pairs. */
+
+NamedSampleCountPair::NamedSampleCountPair(const ustring &name, uint64_t samples, uint64_t hits)
+    : name(name), samples(samples), hits(hits)
+{
+}
+
+NamedSampleCountStats::NamedSampleCountStats()
+{
+}
+
+void NamedSampleCountStats::add(const ustring &name, uint64_t samples, uint64_t hits)
+{
+  entry_map::iterator entry = entries.find(name);
+  if (entry != entries.end()) {
+    entry->second.samples += samples;
+    entry->second.hits += hits;
+    return;
+  }
+  entries.emplace(name, NamedSampleCountPair(name, samples, hits));
+}
+
+string NamedSampleCountStats::full_report(int indent_level)
+{
+  const string indent(indent_level * kIndentNumSpaces, ' ');
+
+  vector<NamedSampleCountPair> sorted_entries;
+  sorted_entries.reserve(entries.size());
+
+  uint64_t total_hits = 0, total_samples = 0;
+  foreach (entry_map::const_reference entry, entries) {
+    const NamedSampleCountPair &pair = entry.second;
+
+    total_hits += pair.hits;
+    total_samples += pair.samples;
+
+    sorted_entries.push_back(pair);
+  }
+  const double avg_samples_per_hit = ((double)total_samples) / total_hits;
+
+  sort(sorted_entries.begin(), sorted_entries.end(), namedSampleCountPairComparator);
+
+  string result = "";
+  foreach (const NamedSampleCountPair &entry, sorted_entries) {
+    const double seconds = entry.samples * 0.001;
+    const double relative = ((double)entry.samples) / (entry.hits * avg_samples_per_hit);
+
+    result += indent +
+              string_printf(
+                  "%-32s: %.2fs (Relative cost: %.2f)\n", entry.name.c_str(), seconds, relative);
+  }
+  return result;
+}
+
+/* Mesh statistics. */
+
+MeshStats::MeshStats()
+{
+}
+
+string MeshStats::full_report(int indent_level)
+{
+  const string indent(indent_level * kIndentNumSpaces, ' ');
+  string result = "";
+  result += indent + "Geometry:\n" + geometry.full_report(indent_level + 1);
+  return result;
+}
+
+/* Image statistics. */
+
+ImageStats::ImageStats()
+{
+}
+
+string ImageStats::full_report(int indent_level)
+{
+  const string indent(indent_level * kIndentNumSpaces, ' ');
+  string result = "";
+  result += indent + "Textures:\n" + textures.full_report(indent_level + 1);
+  return result;
+}
+
+/* Overall statistics. */
+
+RenderStats::RenderStats()
+{
+  has_profiling = false;
+}
+
+void RenderStats::collect_profiling(Scene *scene, Profiler &prof)
+{
+  has_profiling = true;
+
+  kernel = NamedNestedSampleStats("Total render time", prof.get_event(PROFILING_UNKNOWN));
+  kernel.add_entry("Ray setup", prof.get_event(PROFILING_RAY_SETUP));
+  kernel.add_entry("Intersect Closest", prof.get_event(PROFILING_INTERSECT_CLOSEST));
+  kernel.add_entry("Intersect Shadow", prof.get_event(PROFILING_INTERSECT_SHADOW));
+  kernel.add_entry("Intersect Subsurface", prof.get_event(PROFILING_INTERSECT_SUBSURFACE));
+  kernel.add_entry("Intersect Volume Stack", prof.get_event(PROFILING_INTERSECT_VOLUME_STACK));
+
+  NamedNestedSampleStats &surface = kernel.add_entry("Shade Surface", 0);
+  surface.add_entry("Setup", prof.get_event(PROFILING_SHADE_SURFACE_SETUP));
+  surface.add_entry("Shader Evaluation", prof.get_event(PROFILING_SHADE_SURFACE_EVAL));
+  surface.add_entry("Render Passes", prof.get_event(PROFILING_SHADE_SURFACE_PASSES));
+  surface.add_entry("Direct Light", prof.get_event(PROFILING_SHADE_SURFACE_DIRECT_LIGHT));
+  surface.add_entry("Indirect Light", prof.get_event(PROFILING_SHADE_SURFACE_INDIRECT_LIGHT));
+  surface.add_entry("Ambient Occlusion", prof.get_event(PROFILING_SHADE_SURFACE_AO));
+
+  NamedNestedSampleStats &volume = kernel.add_entry("Shade Volume", 0);
+  volume.add_entry("Setup", prof.get_event(PROFILING_SHADE_VOLUME_SETUP));
+  volume.add_entry("Integrate", prof.get_event(PROFILING_SHADE_VOLUME_INTEGRATE));
+  volume.add_entry("Direct Light", prof.get_event(PROFILING_SHADE_VOLUME_DIRECT_LIGHT));
+  volume.add_entry("Indirect Light", prof.get_event(PROFILING_SHADE_VOLUME_INDIRECT_LIGHT));
+
+  NamedNestedSampleStats &shadow = kernel.add_entry("Shade Shadow", 0);
+  shadow.add_entry("Setup", prof.get_event(PROFILING_SHADE_SHADOW_SETUP));
+  shadow.add_entry("Surface", prof.get_event(PROFILING_SHADE_SHADOW_SURFACE));
+  shadow.add_entry("Volume", prof.get_event(PROFILING_SHADE_SHADOW_VOLUME));
+
+  NamedNestedSampleStats &light = kernel.add_entry("Shade Light", 0);
+  light.add_entry("Setup", prof.get_event(PROFILING_SHADE_LIGHT_SETUP));
+  light.add_entry("Shader Evaluation", prof.get_event(PROFILING_SHADE_LIGHT_EVAL));
+
+  shaders.entries.clear();
+  foreach (Shader *shader, scene->shaders) {
+    uint64_t samples, hits;
+    if (prof.get_shader(shader->id, samples, hits)) {
+      shaders.add(shader->name, samples, hits);
+    }
+  }
+
+  objects.entries.clear();
+  foreach (Object *object, scene->objects) {
+    uint64_t samples, hits;
+    if (prof.get_object(object->get_device_index(), samples, hits)) {
+      objects.add(object->name, samples, hits);
+    }
+  }
+}
+
+string RenderStats::full_report()
+{
+  string result = "";
+  result += "Mesh statistics:\n" + mesh.full_report(1);
+  result += "Image statistics:\n" + image.full_report(1);
+  if (has_profiling) {
+    result += "Kernel statistics:\n" + kernel.full_report(1);
+    result += "Shader statistics:\n" + shaders.full_report(1);
+    result += "Object statistics:\n" + objects.full_report(1);
+  }
+  else {
+    result += "Profiling information not available (only works with CPU rendering)";
+  }
+  return result;
+}
+
+NamedTimeStats::NamedTimeStats() : total_time(0.0)
+{
+}
+
+string UpdateTimeStats::full_report(int indent_level)
+{
+  return times.full_report(indent_level + 1);
+}
+
+SceneUpdateStats::SceneUpdateStats()
+{
+}
+
+string SceneUpdateStats::full_report()
+{
+  string result = "";
+  result += "Scene:\n" + scene.full_report(1);
+  result += "Geometry:\n" + geometry.full_report(1);
+  result += "Light:\n" + light.full_report(1);
+  result += "Object:\n" + object.full_report(1);
+  result += "Image:\n" + image.full_report(1);
+  result += "Background:\n" + background.full_report(1);
+  result += "Bake:\n" + bake.full_report(1);
+  result += "Camera:\n" + camera.full_report(1);
+  result += "Film:\n" + film.full_report(1);
+  result += "Integrator:\n" + integrator.full_report(1);
+  result += "OSL:\n" + osl.full_report(1);
+  result += "Particles:\n" + particles.full_report(1);
+  result += "SVM:\n" + svm.full_report(1);
+  result += "Tables:\n" + tables.full_report(1);
+  result += "Procedurals:\n" + procedurals.full_report(1);
+  return result;
+}
+
+void SceneUpdateStats::clear()
+{
+  geometry.times.clear();
+  image.times.clear();
+  light.times.clear();
+  object.times.clear();
+  background.times.clear();
+  bake.times.clear();
+  camera.times.clear();
+  film.times.clear();
+  integrator.times.clear();
+  osl.times.clear();
+  particles.times.clear();
+  scene.times.clear();
+  svm.times.clear();
+  tables.times.clear();
+  procedurals.times.clear();
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/stats.h b/intern/cycles/scene/stats.h
new file mode 100644
index 00000000000..ffcc4d55235
--- /dev/null
+++ b/intern/cycles/scene/stats.h
@@ -0,0 +1,231 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __RENDER_STATS_H__
+#define __RENDER_STATS_H__
+
+#include "scene/scene.h"
+
+#include "util/util_stats.h"
+#include "util/util_string.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Named statistics entry, which corresponds to a size. There is no real
+ * semantic around the units of size, it just should be the same for all
+ * entries.
+ *
+ * This is a generic entry for all size-related statistics, which helps
+ * avoiding duplicating code for things like sorting.
+ */
+class NamedSizeEntry {
+ public:
+  NamedSizeEntry();
+  NamedSizeEntry(const string &name, size_t size);
+
+  string name;
+  size_t size;
+};
+
+class NamedTimeEntry {
+ public:
+  NamedTimeEntry();
+  NamedTimeEntry(const string &name, double time);
+
+  string name;
+  double time;
+};
+
+/* Container of named size entries. Used, for example, to store per-mesh memory
+ * usage statistics. But also keeps track of overall memory usage of the
+ * container.
+ */
+class NamedSizeStats {
+ public:
+  NamedSizeStats();
+
+  /* Add entry to the statistics. */
+  void add_entry(const NamedSizeEntry &entry);
+
+  /* Generate full human-readable report. */
+  string full_report(int indent_level = 0);
+
+  /* Total size of all entries. */
+  size_t total_size;
+
+  /* NOTE: Is fine to read directly, but for adding use add_entry(), which
+   * makes sure all accumulating  values are properly updated.
+   */
+  vector<NamedSizeEntry> entries;
+};
+
+class NamedTimeStats {
+ public:
+  NamedTimeStats();
+
+  /* Add entry to the statistics. */
+  void add_entry(const NamedTimeEntry &entry)
+  {
+    total_time += entry.time;
+    entries.push_back(entry);
+  }
+
+  /* Generate full human-readable report. */
+  string full_report(int indent_level = 0);
+
+  /* Total time of all entries. */
+  double total_time;
+
+  /* NOTE: Is fine to read directly, but for adding use add_entry(), which
+   * makes sure all accumulating  values are properly updated.
+   */
+  vector<NamedTimeEntry> entries;
+
+  void clear()
+  {
+    total_time = 0.0;
+    entries.clear();
+  }
+};
+
+class NamedNestedSampleStats {
+ public:
+  NamedNestedSampleStats();
+  NamedNestedSampleStats(const string &name, uint64_t samples);
+
+  NamedNestedSampleStats &add_entry(const string &name, uint64_t samples);
+
+  /* Updates sum_samples recursively. */
+  void update_sum();
+
+  string full_report(int indent_level = 0, uint64_t total_samples = 0);
+
+  string name;
+
+  /* self_samples contains only the samples that this specific event got,
+   * while sum_samples also includes the samples of all sub-entries. */
+  uint64_t self_samples, sum_samples;
+
+  vector<NamedNestedSampleStats> entries;
+};
+
+/* Named entry containing both a time-sample count for objects of a type and a
+ * total count of processed items.
+ * This allows to estimate the time spent per item. */
+class NamedSampleCountPair {
+ public:
+  NamedSampleCountPair(const ustring &name, uint64_t samples, uint64_t hits);
+
+  ustring name;
+  uint64_t samples;
+  uint64_t hits;
+};
+
+/* Contains statistics about pairs of samples and counts as described above. */
+class NamedSampleCountStats {
+ public:
+  NamedSampleCountStats();
+
+  string full_report(int indent_level = 0);
+  void add(const ustring &name, uint64_t samples, uint64_t hits);
+
+  typedef unordered_map<ustring, NamedSampleCountPair, ustringHash> entry_map;
+  entry_map entries;
+};
+
+/* Statistics about mesh in the render database. */
+class MeshStats {
+ public:
+  MeshStats();
+
+  /* Generate full human-readable report. */
+  string full_report(int indent_level = 0);
+
+  /* Input geometry statistics, this is what is coming as an input to render
+   * from. say, Blender. This does not include runtime or engine specific
+   * memory like BVH.
+   */
+  NamedSizeStats geometry;
+};
+
+/* Statistics about images held in memory. */
+class ImageStats {
+ public:
+  ImageStats();
+
+  /* Generate full human-readable report. */
+  string full_report(int indent_level = 0);
+
+  NamedSizeStats textures;
+};
+
+/* Render process statistics. */
+class RenderStats {
+ public:
+  RenderStats();
+
+  /* Return full report as string. */
+  string full_report();
+
+  /* Collect kernel sampling information from Stats. */
+  void collect_profiling(Scene *scene, Profiler &prof);
+
+  bool has_profiling;
+
+  MeshStats mesh;
+  ImageStats image;
+  NamedNestedSampleStats kernel;
+  NamedSampleCountStats shaders;
+  NamedSampleCountStats objects;
+};
+
+class UpdateTimeStats {
+ public:
+  /* Generate full human-readable report. */
+  string full_report(int indent_level = 0);
+
+  NamedTimeStats times;
+};
+
+class SceneUpdateStats {
+ public:
+  SceneUpdateStats();
+
+  UpdateTimeStats geometry;
+  UpdateTimeStats image;
+  UpdateTimeStats light;
+  UpdateTimeStats object;
+  UpdateTimeStats background;
+  UpdateTimeStats bake;
+  UpdateTimeStats camera;
+  UpdateTimeStats film;
+  UpdateTimeStats integrator;
+  UpdateTimeStats osl;
+  UpdateTimeStats particles;
+  UpdateTimeStats scene;
+  UpdateTimeStats svm;
+  UpdateTimeStats tables;
+  UpdateTimeStats procedurals;
+
+  string full_report();
+
+  void clear();
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __RENDER_STATS_H__ */
diff --git a/intern/cycles/scene/svm.cpp b/intern/cycles/scene/svm.cpp
new file mode 100644
index 00000000000..b0b7fb605d1
--- /dev/null
+++ b/intern/cycles/scene/svm.cpp
@@ -0,0 +1,984 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "device/device.h"
+
+#include "scene/background.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/scene.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
+#include "scene/stats.h"
+#include "scene/svm.h"
+
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_progress.h"
+#include "util/util_task.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Shader Manager */
+
+SVMShaderManager::SVMShaderManager()
+{
+}
+
+SVMShaderManager::~SVMShaderManager()
+{
+}
+
+void SVMShaderManager::reset(Scene * /*scene*/)
+{
+}
+
+void SVMShaderManager::device_update_shader(Scene *scene,
+                                            Shader *shader,
+                                            Progress *progress,
+                                            array<int4> *svm_nodes)
+{
+  if (progress->get_cancel()) {
+    return;
+  }
+  assert(shader->graph);
+
+  svm_nodes->push_back_slow(make_int4(NODE_SHADER_JUMP, 0, 0, 0));
+
+  SVMCompiler::Summary summary;
+  SVMCompiler compiler(scene);
+  compiler.background = (shader == scene->background->get_shader(scene));
+  compiler.compile(shader, *svm_nodes, 0, &summary);
+
+  VLOG(2) << "Compilation summary:\n"
+          << "Shader name: " << shader->name << "\n"
+          << summary.full_report();
+}
+
+void SVMShaderManager::device_update_specific(Device *device,
+                                              DeviceScene *dscene,
+                                              Scene *scene,
+                                              Progress &progress)
+{
+  if (!need_update())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->svm.times.add_entry({"device_update", time});
+    }
+  });
+
+  const int num_shaders = scene->shaders.size();
+
+  VLOG(1) << "Total " << num_shaders << " shaders.";
+
+  double start_time = time_dt();
+
+  /* test if we need to update */
+  device_free(device, dscene, scene);
+
+  /* Build all shaders. */
+  TaskPool task_pool;
+  vector<array<int4>> shader_svm_nodes(num_shaders);
+  for (int i = 0; i < num_shaders; i++) {
+    task_pool.push(function_bind(&SVMShaderManager::device_update_shader,
+                                 this,
+                                 scene,
+                                 scene->shaders[i],
+                                 &progress,
+                                 &shader_svm_nodes[i]));
+  }
+  task_pool.wait_work();
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  /* The global node list contains a jump table (one node per shader)
+   * followed by the nodes of all shaders. */
+  int svm_nodes_size = num_shaders;
+  for (int i = 0; i < num_shaders; i++) {
+    /* Since we're not copying the local jump node, the size ends up being one node lower. */
+    svm_nodes_size += shader_svm_nodes[i].size() - 1;
+  }
+
+  int4 *svm_nodes = dscene->svm_nodes.alloc(svm_nodes_size);
+
+  int node_offset = num_shaders;
+  for (int i = 0; i < num_shaders; i++) {
+    Shader *shader = scene->shaders[i];
+
+    shader->clear_modified();
+    if (shader->get_use_mis() && shader->has_surface_emission) {
+      scene->light_manager->tag_update(scene, LightManager::SHADER_COMPILED);
+    }
+
+    /* Update the global jump table.
+     * Each compiled shader starts with a jump node that has offsets local
+     * to the shader, so copy those and add the offset into the global node list. */
+    int4 &global_jump_node = svm_nodes[shader->id];
+    int4 &local_jump_node = shader_svm_nodes[i][0];
+
+    global_jump_node.x = NODE_SHADER_JUMP;
+    global_jump_node.y = local_jump_node.y - 1 + node_offset;
+    global_jump_node.z = local_jump_node.z - 1 + node_offset;
+    global_jump_node.w = local_jump_node.w - 1 + node_offset;
+
+    node_offset += shader_svm_nodes[i].size() - 1;
+  }
+
+  /* Copy the nodes of each shader into the correct location. */
+  svm_nodes += num_shaders;
+  for (int i = 0; i < num_shaders; i++) {
+    int shader_size = shader_svm_nodes[i].size() - 1;
+
+    memcpy(svm_nodes, &shader_svm_nodes[i][1], sizeof(int4) * shader_size);
+    svm_nodes += shader_size;
+  }
+
+  if (progress.get_cancel()) {
+    return;
+  }
+
+  dscene->svm_nodes.copy_to_device();
+
+  device_update_common(device, dscene, scene, progress);
+
+  update_flags = UPDATE_NONE;
+
+  VLOG(1) << "Shader manager updated " << num_shaders << " shaders in " << time_dt() - start_time
+          << " seconds.";
+}
+
+void SVMShaderManager::device_free(Device *device, DeviceScene *dscene, Scene *scene)
+{
+  device_free_common(device, dscene, scene);
+
+  dscene->svm_nodes.free();
+}
+
+/* Graph Compiler */
+
+SVMCompiler::SVMCompiler(Scene *scene) : scene(scene)
+{
+  max_stack_use = 0;
+  current_type = SHADER_TYPE_SURFACE;
+  current_shader = NULL;
+  current_graph = NULL;
+  background = false;
+  mix_weight_offset = SVM_STACK_INVALID;
+  compile_failed = false;
+}
+
+int SVMCompiler::stack_size(SocketType::Type type)
+{
+  int size = 0;
+
+  switch (type) {
+    case SocketType::FLOAT:
+    case SocketType::INT:
+      size = 1;
+      break;
+    case SocketType::COLOR:
+    case SocketType::VECTOR:
+    case SocketType::NORMAL:
+    case SocketType::POINT:
+      size = 3;
+      break;
+    case SocketType::CLOSURE:
+      size = 0;
+      break;
+    default:
+      assert(0);
+      break;
+  }
+
+  return size;
+}
+
+int SVMCompiler::stack_find_offset(int size)
+{
+  int offset = -1;
+
+  /* find free space in stack & mark as used */
+  for (int i = 0, num_unused = 0; i < SVM_STACK_SIZE; i++) {
+    if (active_stack.users[i])
+      num_unused = 0;
+    else
+      num_unused++;
+
+    if (num_unused == size) {
+      offset = i + 1 - size;
+      max_stack_use = max(i + 1, max_stack_use);
+
+      while (i >= offset)
+        active_stack.users[i--] = 1;
+
+      return offset;
+    }
+  }
+
+  if (!compile_failed) {
+    compile_failed = true;
+    fprintf(stderr,
+            "Cycles: out of SVM stack space, shader \"%s\" too big.\n",
+            current_shader->name.c_str());
+  }
+
+  return 0;
+}
+
+int SVMCompiler::stack_find_offset(SocketType::Type type)
+{
+  return stack_find_offset(stack_size(type));
+}
+
+void SVMCompiler::stack_clear_offset(SocketType::Type type, int offset)
+{
+  int size = stack_size(type);
+
+  for (int i = 0; i < size; i++)
+    active_stack.users[offset + i]--;
+}
+
+int SVMCompiler::stack_assign(ShaderInput *input)
+{
+  /* stack offset assign? */
+  if (input->stack_offset == SVM_STACK_INVALID) {
+    if (input->link) {
+      /* linked to output -> use output offset */
+      assert(input->link->stack_offset != SVM_STACK_INVALID);
+      input->stack_offset = input->link->stack_offset;
+    }
+    else {
+      Node *node = input->parent;
+
+      /* not linked to output -> add nodes to load default value */
+      input->stack_offset = stack_find_offset(input->type());
+
+      if (input->type() == SocketType::FLOAT) {
+        add_node(NODE_VALUE_F,
+                 __float_as_int(node->get_float(input->socket_type)),
+                 input->stack_offset);
+      }
+      else if (input->type() == SocketType::INT) {
+        add_node(NODE_VALUE_F, node->get_int(input->socket_type), input->stack_offset);
+      }
+      else if (input->type() == SocketType::VECTOR || input->type() == SocketType::NORMAL ||
+               input->type() == SocketType::POINT || input->type() == SocketType::COLOR) {
+
+        add_node(NODE_VALUE_V, input->stack_offset);
+        add_node(NODE_VALUE_V, node->get_float3(input->socket_type));
+      }
+      else /* should not get called for closure */
+        assert(0);
+    }
+  }
+
+  return input->stack_offset;
+}
+
+int SVMCompiler::stack_assign(ShaderOutput *output)
+{
+  /* if no stack offset assigned yet, find one */
+  if (output->stack_offset == SVM_STACK_INVALID)
+    output->stack_offset = stack_find_offset(output->type());
+
+  return output->stack_offset;
+}
+
+int SVMCompiler::stack_assign_if_linked(ShaderInput *input)
+{
+  if (input->link || input->constant_folded_in)
+    return stack_assign(input);
+
+  return SVM_STACK_INVALID;
+}
+
+int SVMCompiler::stack_assign_if_linked(ShaderOutput *output)
+{
+  if (!output->links.empty())
+    return stack_assign(output);
+
+  return SVM_STACK_INVALID;
+}
+
+void SVMCompiler::stack_link(ShaderInput *input, ShaderOutput *output)
+{
+  if (output->stack_offset == SVM_STACK_INVALID) {
+    assert(input->link);
+    assert(stack_size(output->type()) == stack_size(input->link->type()));
+
+    output->stack_offset = input->link->stack_offset;
+
+    int size = stack_size(output->type());
+
+    for (int i = 0; i < size; i++)
+      active_stack.users[output->stack_offset + i]++;
+  }
+}
+
+void SVMCompiler::stack_clear_users(ShaderNode *node, ShaderNodeSet &done)
+{
+  /* optimization we should add:
+   * find and lower user counts for outputs for which all inputs are done.
+   * this is done before the node is compiled, under the assumption that the
+   * node will first load all inputs from the stack and then writes its
+   * outputs. this used to work, but was disabled because it gave trouble
+   * with inputs getting stack positions assigned */
+
+  foreach (ShaderInput *input, node->inputs) {
+    ShaderOutput *output = input->link;
+
+    if (output && output->stack_offset != SVM_STACK_INVALID) {
+      bool all_done = true;
+
+      /* optimization we should add: verify if in->parent is actually used */
+      foreach (ShaderInput *in, output->links)
+        if (in->parent != node && done.find(in->parent) == done.end())
+          all_done = false;
+
+      if (all_done) {
+        stack_clear_offset(output->type(), output->stack_offset);
+        output->stack_offset = SVM_STACK_INVALID;
+
+        foreach (ShaderInput *in, output->links)
+          in->stack_offset = SVM_STACK_INVALID;
+      }
+    }
+  }
+}
+
+void SVMCompiler::stack_clear_temporary(ShaderNode *node)
+{
+  foreach (ShaderInput *input, node->inputs) {
+    if (!input->link && input->stack_offset != SVM_STACK_INVALID) {
+      stack_clear_offset(input->type(), input->stack_offset);
+      input->stack_offset = SVM_STACK_INVALID;
+    }
+  }
+}
+
+uint SVMCompiler::encode_uchar4(uint x, uint y, uint z, uint w)
+{
+  assert(x <= 255);
+  assert(y <= 255);
+  assert(z <= 255);
+  assert(w <= 255);
+
+  return (x) | (y << 8) | (z << 16) | (w << 24);
+}
+
+void SVMCompiler::add_node(int a, int b, int c, int d)
+{
+  current_svm_nodes.push_back_slow(make_int4(a, b, c, d));
+}
+
+void SVMCompiler::add_node(ShaderNodeType type, int a, int b, int c)
+{
+  current_svm_nodes.push_back_slow(make_int4(type, a, b, c));
+}
+
+void SVMCompiler::add_node(ShaderNodeType type, const float3 &f)
+{
+  current_svm_nodes.push_back_slow(
+      make_int4(type, __float_as_int(f.x), __float_as_int(f.y), __float_as_int(f.z)));
+}
+
+void SVMCompiler::add_node(const float4 &f)
+{
+  current_svm_nodes.push_back_slow(make_int4(
+      __float_as_int(f.x), __float_as_int(f.y), __float_as_int(f.z), __float_as_int(f.w)));
+}
+
+uint SVMCompiler::attribute(ustring name)
+{
+  return scene->shader_manager->get_attribute_id(name);
+}
+
+uint SVMCompiler::attribute(AttributeStandard std)
+{
+  return scene->shader_manager->get_attribute_id(std);
+}
+
+uint SVMCompiler::attribute_standard(ustring name)
+{
+  AttributeStandard std = Attribute::name_standard(name.c_str());
+  return (std) ? attribute(std) : attribute(name);
+}
+
+void SVMCompiler::find_dependencies(ShaderNodeSet &dependencies,
+                                    const ShaderNodeSet &done,
+                                    ShaderInput *input,
+                                    ShaderNode *skip_node)
+{
+  ShaderNode *node = (input->link) ? input->link->parent : NULL;
+  if (node != NULL && done.find(node) == done.end() && node != skip_node &&
+      dependencies.find(node) == dependencies.end()) {
+    foreach (ShaderInput *in, node->inputs) {
+      find_dependencies(dependencies, done, in, skip_node);
+    }
+    dependencies.insert(node);
+  }
+}
+
+void SVMCompiler::generate_node(ShaderNode *node, ShaderNodeSet &done)
+{
+  node->compile(*this);
+  stack_clear_users(node, done);
+  stack_clear_temporary(node);
+
+  if (current_type == SHADER_TYPE_SURFACE) {
+    if (node->has_spatial_varying())
+      current_shader->has_surface_spatial_varying = true;
+    if (node->get_feature() & KERNEL_FEATURE_NODE_RAYTRACE)
+      current_shader->has_surface_raytrace = true;
+  }
+  else if (current_type == SHADER_TYPE_VOLUME) {
+    if (node->has_spatial_varying())
+      current_shader->has_volume_spatial_varying = true;
+    if (node->has_attribute_dependency())
+      current_shader->has_volume_attribute_dependency = true;
+  }
+
+  if (node->has_integrator_dependency()) {
+    current_shader->has_integrator_dependency = true;
+  }
+}
+
+void SVMCompiler::generate_svm_nodes(const ShaderNodeSet &nodes, CompilerState *state)
+{
+  ShaderNodeSet &done = state->nodes_done;
+  vector<bool> &done_flag = state->nodes_done_flag;
+
+  bool nodes_done;
+  do {
+    nodes_done = true;
+
+    foreach (ShaderNode *node, nodes) {
+      if (!done_flag[node->id]) {
+        bool inputs_done = true;
+
+        foreach (ShaderInput *input, node->inputs) {
+          if (input->link && !done_flag[input->link->parent->id]) {
+            inputs_done = false;
+          }
+        }
+        if (inputs_done) {
+          generate_node(node, done);
+          done.insert(node);
+          done_flag[node->id] = true;
+        }
+        else {
+          nodes_done = false;
+        }
+      }
+    }
+  } while (!nodes_done);
+}
+
+void SVMCompiler::generate_closure_node(ShaderNode *node, CompilerState *state)
+{
+  /* Skip generating closure that are not supported or needed for a particular
+   * type of shader. For example a BSDF in a volume shader. */
+  const int node_feature = node->get_feature();
+  if ((state->node_feature_mask & node_feature) != node_feature) {
+    return;
+  }
+
+  /* execute dependencies for closure */
+  foreach (ShaderInput *in, node->inputs) {
+    if (in->link != NULL) {
+      ShaderNodeSet dependencies;
+      find_dependencies(dependencies, state->nodes_done, in);
+      generate_svm_nodes(dependencies, state);
+    }
+  }
+
+  /* closure mix weight */
+  const char *weight_name = (current_type == SHADER_TYPE_VOLUME) ? "VolumeMixWeight" :
+                                                                   "SurfaceMixWeight";
+  ShaderInput *weight_in = node->input(weight_name);
+
+  if (weight_in && (weight_in->link || node->get_float(weight_in->socket_type) != 1.0f))
+    mix_weight_offset = stack_assign(weight_in);
+  else
+    mix_weight_offset = SVM_STACK_INVALID;
+
+  /* compile closure itself */
+  generate_node(node, state->nodes_done);
+
+  mix_weight_offset = SVM_STACK_INVALID;
+
+  if (current_type == SHADER_TYPE_SURFACE) {
+    if (node->has_surface_emission())
+      current_shader->has_surface_emission = true;
+    if (node->has_surface_transparent())
+      current_shader->has_surface_transparent = true;
+    if (node->has_surface_bssrdf()) {
+      current_shader->has_surface_bssrdf = true;
+      if (node->has_bssrdf_bump())
+        current_shader->has_bssrdf_bump = true;
+    }
+    if (node->has_bump()) {
+      current_shader->has_bump = true;
+    }
+  }
+}
+
+void SVMCompiler::generated_shared_closure_nodes(ShaderNode *root_node,
+                                                 ShaderNode *node,
+                                                 CompilerState *state,
+                                                 const ShaderNodeSet &shared)
+{
+  if (shared.find(node) != shared.end()) {
+    generate_multi_closure(root_node, node, state);
+  }
+  else {
+    foreach (ShaderInput *in, node->inputs) {
+      if (in->type() == SocketType::CLOSURE && in->link)
+        generated_shared_closure_nodes(root_node, in->link->parent, state, shared);
+    }
+  }
+}
+
+void SVMCompiler::find_aov_nodes_and_dependencies(ShaderNodeSet &aov_nodes,
+                                                  ShaderGraph *graph,
+                                                  CompilerState *state)
+{
+  foreach (ShaderNode *node, graph->nodes) {
+    if (node->special_type == SHADER_SPECIAL_TYPE_OUTPUT_AOV) {
+      OutputAOVNode *aov_node = static_cast<OutputAOVNode *>(node);
+      if (aov_node->offset >= 0) {
+        aov_nodes.insert(aov_node);
+        foreach (ShaderInput *in, node->inputs) {
+          if (in->link != NULL) {
+            find_dependencies(aov_nodes, state->nodes_done, in);
+          }
+        }
+      }
+    }
+  }
+}
+
+void SVMCompiler::generate_multi_closure(ShaderNode *root_node,
+                                         ShaderNode *node,
+                                         CompilerState *state)
+{
+  /* only generate once */
+  if (state->closure_done.find(node) != state->closure_done.end())
+    return;
+
+  state->closure_done.insert(node);
+
+  if (node->special_type == SHADER_SPECIAL_TYPE_COMBINE_CLOSURE) {
+    /* weighting is already taken care of in ShaderGraph::transform_multi_closure */
+    ShaderInput *cl1in = node->input("Closure1");
+    ShaderInput *cl2in = node->input("Closure2");
+    ShaderInput *facin = node->input("Fac");
+
+    /* skip empty mix/add closure nodes */
+    if (!cl1in->link && !cl2in->link)
+      return;
+
+    if (facin && facin->link) {
+      /* mix closure: generate instructions to compute mix weight */
+      ShaderNodeSet dependencies;
+      find_dependencies(dependencies, state->nodes_done, facin);
+      generate_svm_nodes(dependencies, state);
+
+      /* execute shared dependencies. this is needed to allow skipping
+       * of zero weight closures and their dependencies later, so we
+       * ensure that they only skip dependencies that are unique to them */
+      ShaderNodeSet cl1deps, cl2deps, shareddeps;
+
+      find_dependencies(cl1deps, state->nodes_done, cl1in);
+      find_dependencies(cl2deps, state->nodes_done, cl2in);
+
+      ShaderNodeIDComparator node_id_comp;
+      set_intersection(cl1deps.begin(),
+                       cl1deps.end(),
+                       cl2deps.begin(),
+                       cl2deps.end(),
+                       std::inserter(shareddeps, shareddeps.begin()),
+                       node_id_comp);
+
+      /* it's possible some nodes are not shared between this mix node
+       * inputs, but still needed to be always executed, this mainly
+       * happens when a node of current subbranch is used by a parent
+       * node or so */
+      if (root_node != node) {
+        foreach (ShaderInput *in, root_node->inputs) {
+          ShaderNodeSet rootdeps;
+          find_dependencies(rootdeps, state->nodes_done, in, node);
+          set_intersection(rootdeps.begin(),
+                           rootdeps.end(),
+                           cl1deps.begin(),
+                           cl1deps.end(),
+                           std::inserter(shareddeps, shareddeps.begin()),
+                           node_id_comp);
+          set_intersection(rootdeps.begin(),
+                           rootdeps.end(),
+                           cl2deps.begin(),
+                           cl2deps.end(),
+                           std::inserter(shareddeps, shareddeps.begin()),
+                           node_id_comp);
+        }
+      }
+
+      /* For dependencies AOV nodes, prevent them from being categorized
+       * as exclusive deps of one or the other closure, since the need to
+       * execute them for AOV writing is not dependent on the closure
+       * weights. */
+      if (state->aov_nodes.size()) {
+        set_intersection(state->aov_nodes.begin(),
+                         state->aov_nodes.end(),
+                         cl1deps.begin(),
+                         cl1deps.end(),
+                         std::inserter(shareddeps, shareddeps.begin()),
+                         node_id_comp);
+        set_intersection(state->aov_nodes.begin(),
+                         state->aov_nodes.end(),
+                         cl2deps.begin(),
+                         cl2deps.end(),
+                         std::inserter(shareddeps, shareddeps.begin()),
+                         node_id_comp);
+      }
+
+      if (!shareddeps.empty()) {
+        if (cl1in->link) {
+          generated_shared_closure_nodes(root_node, cl1in->link->parent, state, shareddeps);
+        }
+        if (cl2in->link) {
+          generated_shared_closure_nodes(root_node, cl2in->link->parent, state, shareddeps);
+        }
+
+        generate_svm_nodes(shareddeps, state);
+      }
+
+      /* generate instructions for input closure 1 */
+      if (cl1in->link) {
+        /* Add instruction to skip closure and its dependencies if mix
+         * weight is zero.
+         */
+        current_svm_nodes.push_back_slow(make_int4(NODE_JUMP_IF_ONE, 0, stack_assign(facin), 0));
+        int node_jump_skip_index = current_svm_nodes.size() - 1;
+
+        generate_multi_closure(root_node, cl1in->link->parent, state);
+
+        /* Fill in jump instruction location to be after closure. */
+        current_svm_nodes[node_jump_skip_index].y = current_svm_nodes.size() -
+                                                    node_jump_skip_index - 1;
+      }
+
+      /* generate instructions for input closure 2 */
+      if (cl2in->link) {
+        /* Add instruction to skip closure and its dependencies if mix
+         * weight is zero.
+         */
+        current_svm_nodes.push_back_slow(make_int4(NODE_JUMP_IF_ZERO, 0, stack_assign(facin), 0));
+        int node_jump_skip_index = current_svm_nodes.size() - 1;
+
+        generate_multi_closure(root_node, cl2in->link->parent, state);
+
+        /* Fill in jump instruction location to be after closure. */
+        current_svm_nodes[node_jump_skip_index].y = current_svm_nodes.size() -
+                                                    node_jump_skip_index - 1;
+      }
+
+      /* unassign */
+      facin->stack_offset = SVM_STACK_INVALID;
+    }
+    else {
+      /* execute closures and their dependencies, no runtime checks
+       * to skip closures here because was already optimized due to
+       * fixed weight or add closure that always needs both */
+      if (cl1in->link)
+        generate_multi_closure(root_node, cl1in->link->parent, state);
+      if (cl2in->link)
+        generate_multi_closure(root_node, cl2in->link->parent, state);
+    }
+  }
+  else {
+    generate_closure_node(node, state);
+  }
+
+  state->nodes_done.insert(node);
+  state->nodes_done_flag[node->id] = true;
+}
+
+void SVMCompiler::compile_type(Shader *shader, ShaderGraph *graph, ShaderType type)
+{
+  /* Converting a shader graph into svm_nodes that can be executed
+   * sequentially on the virtual machine is fairly simple. We can keep
+   * looping over nodes and each time all the inputs of a node are
+   * ready, we add svm_nodes for it that read the inputs from the
+   * stack and write outputs back to the stack.
+   *
+   * With the SVM, we always sample only a single closure. We can think
+   * of all closures nodes as a binary tree with mix closures as inner
+   * nodes and other closures as leafs. The SVM will traverse that tree,
+   * each time deciding to go left or right depending on the mix weights,
+   * until a closure is found.
+   *
+   * We only execute nodes that are needed for the mix weights and chosen
+   * closure.
+   */
+
+  current_type = type;
+  current_graph = graph;
+
+  /* get input in output node */
+  ShaderNode *output = graph->output();
+  ShaderInput *clin = NULL;
+
+  switch (type) {
+    case SHADER_TYPE_SURFACE:
+      clin = output->input("Surface");
+      break;
+    case SHADER_TYPE_VOLUME:
+      clin = output->input("Volume");
+      break;
+    case SHADER_TYPE_DISPLACEMENT:
+      clin = output->input("Displacement");
+      break;
+    case SHADER_TYPE_BUMP:
+      clin = output->input("Normal");
+      break;
+    default:
+      assert(0);
+      break;
+  }
+
+  /* clear all compiler state */
+  memset((void *)&active_stack, 0, sizeof(active_stack));
+  current_svm_nodes.clear();
+
+  foreach (ShaderNode *node, graph->nodes) {
+    foreach (ShaderInput *input, node->inputs)
+      input->stack_offset = SVM_STACK_INVALID;
+    foreach (ShaderOutput *output, node->outputs)
+      output->stack_offset = SVM_STACK_INVALID;
+  }
+
+  /* for the bump shader we need add a node to store the shader state */
+  bool need_bump_state = (type == SHADER_TYPE_BUMP) &&
+                         (shader->get_displacement_method() == DISPLACE_BOTH);
+  int bump_state_offset = SVM_STACK_INVALID;
+  if (need_bump_state) {
+    bump_state_offset = stack_find_offset(SVM_BUMP_EVAL_STATE_SIZE);
+    add_node(NODE_ENTER_BUMP_EVAL, bump_state_offset);
+  }
+
+  if (shader->reference_count()) {
+    CompilerState state(graph);
+    if (clin->link) {
+      bool generate = false;
+
+      switch (type) {
+        case SHADER_TYPE_SURFACE: /* generate surface shader */
+          generate = true;
+          shader->has_surface = true;
+          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_SURFACE;
+          break;
+        case SHADER_TYPE_VOLUME: /* generate volume shader */
+          generate = true;
+          shader->has_volume = true;
+          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_VOLUME;
+          break;
+        case SHADER_TYPE_DISPLACEMENT: /* generate displacement shader */
+          generate = true;
+          shader->has_displacement = true;
+          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_DISPLACEMENT;
+          break;
+        case SHADER_TYPE_BUMP: /* generate bump shader */
+          generate = true;
+          state.node_feature_mask = KERNEL_FEATURE_NODE_MASK_BUMP;
+          break;
+        default:
+          break;
+      }
+
+      if (generate) {
+        if (type == SHADER_TYPE_SURFACE) {
+          find_aov_nodes_and_dependencies(state.aov_nodes, graph, &state);
+        }
+        generate_multi_closure(clin->link->parent, clin->link->parent, &state);
+      }
+    }
+
+    /* compile output node */
+    output->compile(*this);
+
+    if (!state.aov_nodes.empty()) {
+      /* AOV passes are only written if the object is directly visible, so
+       * there is no point in evaluating all the nodes generated only for the
+       * AOV outputs if that's not the case. Therefore, we insert
+       * NODE_AOV_START into the shader before the AOV-only nodes are
+       * generated which tells the kernel that it can stop evaluation
+       * early if AOVs will not be written. */
+      add_node(NODE_AOV_START, 0, 0, 0);
+      generate_svm_nodes(state.aov_nodes, &state);
+    }
+  }
+
+  /* add node to restore state after bump shader has finished */
+  if (need_bump_state) {
+    add_node(NODE_LEAVE_BUMP_EVAL, bump_state_offset);
+  }
+
+  /* if compile failed, generate empty shader */
+  if (compile_failed) {
+    current_svm_nodes.clear();
+    compile_failed = false;
+  }
+
+  /* for bump shaders we fall thru to the surface shader, but if this is any other kind of shader
+   * it ends here */
+  if (type != SHADER_TYPE_BUMP) {
+    add_node(NODE_END, 0, 0, 0);
+  }
+}
+
+void SVMCompiler::compile(Shader *shader, array<int4> &svm_nodes, int index, Summary *summary)
+{
+  /* copy graph for shader with bump mapping */
+  ShaderNode *output = shader->graph->output();
+  int start_num_svm_nodes = svm_nodes.size();
+
+  const double time_start = time_dt();
+
+  bool has_bump = (shader->get_displacement_method() != DISPLACE_TRUE) &&
+                  output->input("Surface")->link && output->input("Displacement")->link;
+
+  /* finalize */
+  {
+    scoped_timer timer((summary != NULL) ? &summary->time_finalize : NULL);
+    shader->graph->finalize(scene,
+                            has_bump,
+                            shader->has_integrator_dependency,
+                            shader->get_displacement_method() == DISPLACE_BOTH);
+  }
+
+  current_shader = shader;
+
+  shader->has_surface = false;
+  shader->has_surface_emission = false;
+  shader->has_surface_transparent = false;
+  shader->has_surface_raytrace = false;
+  shader->has_surface_bssrdf = false;
+  shader->has_bump = has_bump;
+  shader->has_bssrdf_bump = has_bump;
+  shader->has_volume = false;
+  shader->has_displacement = false;
+  shader->has_surface_spatial_varying = false;
+  shader->has_volume_spatial_varying = false;
+  shader->has_volume_attribute_dependency = false;
+  shader->has_integrator_dependency = false;
+
+  /* generate bump shader */
+  if (has_bump) {
+    scoped_timer timer((summary != NULL) ? &summary->time_generate_bump : NULL);
+    compile_type(shader, shader->graph, SHADER_TYPE_BUMP);
+    svm_nodes[index].y = svm_nodes.size();
+    svm_nodes.append(current_svm_nodes);
+  }
+
+  /* generate surface shader */
+  {
+    scoped_timer timer((summary != NULL) ? &summary->time_generate_surface : NULL);
+    compile_type(shader, shader->graph, SHADER_TYPE_SURFACE);
+    /* only set jump offset if there's no bump shader, as the bump shader will fall thru to this
+     * one if it exists */
+    if (!has_bump) {
+      svm_nodes[index].y = svm_nodes.size();
+    }
+    svm_nodes.append(current_svm_nodes);
+  }
+
+  /* generate volume shader */
+  {
+    scoped_timer timer((summary != NULL) ? &summary->time_generate_volume : NULL);
+    compile_type(shader, shader->graph, SHADER_TYPE_VOLUME);
+    svm_nodes[index].z = svm_nodes.size();
+    svm_nodes.append(current_svm_nodes);
+  }
+
+  /* generate displacement shader */
+  {
+    scoped_timer timer((summary != NULL) ? &summary->time_generate_displacement : NULL);
+    compile_type(shader, shader->graph, SHADER_TYPE_DISPLACEMENT);
+    svm_nodes[index].w = svm_nodes.size();
+    svm_nodes.append(current_svm_nodes);
+  }
+
+  /* Fill in summary information. */
+  if (summary != NULL) {
+    summary->time_total = time_dt() - time_start;
+    summary->peak_stack_usage = max_stack_use;
+    summary->num_svm_nodes = svm_nodes.size() - start_num_svm_nodes;
+  }
+}
+
+/* Compiler summary implementation. */
+
+SVMCompiler::Summary::Summary()
+    : num_svm_nodes(0),
+      peak_stack_usage(0),
+      time_finalize(0.0),
+      time_generate_surface(0.0),
+      time_generate_bump(0.0),
+      time_generate_volume(0.0),
+      time_generate_displacement(0.0),
+      time_total(0.0)
+{
+}
+
+string SVMCompiler::Summary::full_report() const
+{
+  string report = "";
+  report += string_printf("Number of SVM nodes: %d\n", num_svm_nodes);
+  report += string_printf("Peak stack usage:    %d\n", peak_stack_usage);
+
+  report += string_printf("Time (in seconds):\n");
+  report += string_printf("Finalize:            %f\n", time_finalize);
+  report += string_printf("  Surface:           %f\n", time_generate_surface);
+  report += string_printf("  Bump:              %f\n", time_generate_bump);
+  report += string_printf("  Volume:            %f\n", time_generate_volume);
+  report += string_printf("  Displacement:      %f\n", time_generate_displacement);
+  report += string_printf("Generate:            %f\n",
+                          time_generate_surface + time_generate_bump + time_generate_volume +
+                              time_generate_displacement);
+  report += string_printf("Total:               %f\n", time_total);
+
+  return report;
+}
+
+/* Global state of the compiler. */
+
+SVMCompiler::CompilerState::CompilerState(ShaderGraph *graph)
+{
+  int max_id = 0;
+  foreach (ShaderNode *node, graph->nodes) {
+    max_id = max(node->id, max_id);
+  }
+  nodes_done_flag.resize(max_id + 1, false);
+  node_feature_mask = 0;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/svm.h b/intern/cycles/scene/svm.h
new file mode 100644
index 00000000000..a3d215218fa
--- /dev/null
+++ b/intern/cycles/scene/svm.h
@@ -0,0 +1,238 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __SVM_H__
+#define __SVM_H__
+
+#include "scene/attribute.h"
+#include "scene/shader.h"
+#include "scene/shader_graph.h"
+
+#include "util/util_array.h"
+#include "util/util_set.h"
+#include "util/util_string.h"
+#include "util/util_thread.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class ImageManager;
+class Scene;
+class ShaderGraph;
+class ShaderInput;
+class ShaderNode;
+class ShaderOutput;
+
+/* Shader Manager */
+
+class SVMShaderManager : public ShaderManager {
+ public:
+  SVMShaderManager();
+  ~SVMShaderManager();
+
+  void reset(Scene *scene) override;
+
+  void device_update_specific(Device *device,
+                              DeviceScene *dscene,
+                              Scene *scene,
+                              Progress &progress) override;
+  void device_free(Device *device, DeviceScene *dscene, Scene *scene) override;
+
+ protected:
+  void device_update_shader(Scene *scene,
+                            Shader *shader,
+                            Progress *progress,
+                            array<int4> *svm_nodes);
+};
+
+/* Graph Compiler */
+
+class SVMCompiler {
+ public:
+  struct Summary {
+    Summary();
+
+    /* Number of SVM nodes shader was compiled into. */
+    int num_svm_nodes;
+
+    /* Peak stack usage during shader evaluation. */
+    int peak_stack_usage;
+
+    /* Time spent on surface graph finalization. */
+    double time_finalize;
+
+    /* Time spent on generating SVM nodes for surface shader. */
+    double time_generate_surface;
+
+    /* Time spent on generating SVM nodes for bump shader. */
+    double time_generate_bump;
+
+    /* Time spent on generating SVM nodes for volume shader. */
+    double time_generate_volume;
+
+    /* Time spent on generating SVM nodes for displacement shader. */
+    double time_generate_displacement;
+
+    /* Total time spent on all routines. */
+    double time_total;
+
+    /* A full multi-line description of the state of the compiler after compilation. */
+    string full_report() const;
+  };
+
+  SVMCompiler(Scene *scene);
+  void compile(Shader *shader, array<int4> &svm_nodes, int index, Summary *summary = NULL);
+
+  int stack_assign(ShaderOutput *output);
+  int stack_assign(ShaderInput *input);
+  int stack_assign_if_linked(ShaderInput *input);
+  int stack_assign_if_linked(ShaderOutput *output);
+  int stack_find_offset(int size);
+  int stack_find_offset(SocketType::Type type);
+  void stack_clear_offset(SocketType::Type type, int offset);
+  void stack_link(ShaderInput *input, ShaderOutput *output);
+
+  void add_node(ShaderNodeType type, int a = 0, int b = 0, int c = 0);
+  void add_node(int a = 0, int b = 0, int c = 0, int d = 0);
+  void add_node(ShaderNodeType type, const float3 &f);
+  void add_node(const float4 &f);
+  uint attribute(ustring name);
+  uint attribute(AttributeStandard std);
+  uint attribute_standard(ustring name);
+  uint encode_uchar4(uint x, uint y = 0, uint z = 0, uint w = 0);
+  uint closure_mix_weight_offset()
+  {
+    return mix_weight_offset;
+  }
+
+  ShaderType output_type()
+  {
+    return current_type;
+  }
+
+  Scene *scene;
+  ShaderGraph *current_graph;
+  bool background;
+
+ protected:
+  /* stack */
+  struct Stack {
+    Stack()
+    {
+      memset(users, 0, sizeof(users));
+    }
+    Stack(const Stack &other)
+    {
+      memcpy(users, other.users, sizeof(users));
+    }
+    Stack &operator=(const Stack &other)
+    {
+      memcpy(users, other.users, sizeof(users));
+      return *this;
+    }
+
+    bool empty()
+    {
+      for (int i = 0; i < SVM_STACK_SIZE; i++)
+        if (users[i])
+          return false;
+
+      return true;
+    }
+
+    void print()
+    {
+      printf("stack <");
+
+      for (int i = 0; i < SVM_STACK_SIZE; i++)
+        printf((users[i]) ? "*" : " ");
+
+      printf(">\n");
+    }
+
+    int users[SVM_STACK_SIZE];
+  };
+
+  /* Global state of the compiler accessible from the compilation routines. */
+  struct CompilerState {
+    explicit CompilerState(ShaderGraph *graph);
+
+    /* ** Global state, used by various compilation steps. ** */
+
+    /* Set of nodes which were already compiled. */
+    ShaderNodeSet nodes_done;
+
+    /* Set of closures which were already compiled. */
+    ShaderNodeSet closure_done;
+
+    /* Set of nodes used for writing AOVs. */
+    ShaderNodeSet aov_nodes;
+
+    /* ** SVM nodes generation state ** */
+
+    /* Flag whether the node with corresponding ID was already compiled or
+     * not. Array element with index i corresponds to a node with such if.
+     *
+     * TODO(sergey): This is actually a copy of nodes_done just in another
+     * notation. We can de-duplicate this storage actually after switching
+     * all areas to use this flags array.
+     */
+    vector<bool> nodes_done_flag;
+
+    /* Node features that can be compiled. */
+    uint node_feature_mask;
+  };
+
+  void stack_clear_temporary(ShaderNode *node);
+  int stack_size(SocketType::Type type);
+  void stack_clear_users(ShaderNode *node, ShaderNodeSet &done);
+
+  /* single closure */
+  void find_dependencies(ShaderNodeSet &dependencies,
+                         const ShaderNodeSet &done,
+                         ShaderInput *input,
+                         ShaderNode *skip_node = NULL);
+  void find_aov_nodes_and_dependencies(ShaderNodeSet &aov_nodes,
+                                       ShaderGraph *graph,
+                                       CompilerState *state);
+  void generate_node(ShaderNode *node, ShaderNodeSet &done);
+  void generate_aov_node(ShaderNode *node, CompilerState *state);
+  void generate_closure_node(ShaderNode *node, CompilerState *state);
+  void generated_shared_closure_nodes(ShaderNode *root_node,
+                                      ShaderNode *node,
+                                      CompilerState *state,
+                                      const ShaderNodeSet &shared);
+  void generate_svm_nodes(const ShaderNodeSet &nodes, CompilerState *state);
+
+  /* multi closure */
+  void generate_multi_closure(ShaderNode *root_node, ShaderNode *node, CompilerState *state);
+
+  /* compile */
+  void compile_type(Shader *shader, ShaderGraph *graph, ShaderType type);
+
+  array<int4> current_svm_nodes;
+  ShaderType current_type;
+  Shader *current_shader;
+  Stack active_stack;
+  int max_stack_use;
+  uint mix_weight_offset;
+  bool compile_failed;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __SVM_H__ */
diff --git a/intern/cycles/scene/tables.cpp b/intern/cycles/scene/tables.cpp
new file mode 100644
index 00000000000..39edc5d89cd
--- /dev/null
+++ b/intern/cycles/scene/tables.cpp
@@ -0,0 +1,130 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/tables.h"
+#include "device/device.h"
+#include "scene/scene.h"
+#include "scene/stats.h"
+
+#include "util/util_logging.h"
+#include "util/util_time.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Lookup Tables */
+
+LookupTables::LookupTables()
+{
+  need_update_ = true;
+}
+
+LookupTables::~LookupTables()
+{
+  assert(lookup_tables.size() == 0);
+}
+
+void LookupTables::device_update(Device *, DeviceScene *dscene, Scene *scene)
+{
+  if (!need_update())
+    return;
+
+  scoped_callback_timer timer([scene](double time) {
+    if (scene->update_stats) {
+      scene->update_stats->tables.times.add_entry({"device_update", time});
+    }
+  });
+
+  VLOG(1) << "Total " << lookup_tables.size() << " lookup tables.";
+
+  if (lookup_tables.size() > 0)
+    dscene->lookup_table.copy_to_device();
+
+  need_update_ = false;
+}
+
+void LookupTables::device_free(Device *, DeviceScene *dscene)
+{
+  dscene->lookup_table.free();
+}
+
+bool LookupTables::need_update() const
+{
+  return need_update_;
+}
+
+static size_t round_up_to_multiple(size_t size, size_t chunk)
+{
+  return ((size + chunk - 1) / chunk) * chunk;
+}
+
+size_t LookupTables::add_table(DeviceScene *dscene, vector<float> &data)
+{
+  assert(data.size() > 0);
+
+  need_update_ = true;
+
+  Table new_table;
+  new_table.offset = 0;
+  new_table.size = round_up_to_multiple(data.size(), TABLE_CHUNK_SIZE);
+
+  /* find space to put lookup table */
+  list<Table>::iterator table;
+
+  for (table = lookup_tables.begin(); table != lookup_tables.end(); table++) {
+    if (new_table.offset + new_table.size <= table->offset) {
+      lookup_tables.insert(table, new_table);
+      break;
+    }
+    else
+      new_table.offset = table->offset + table->size;
+  }
+
+  if (table == lookup_tables.end()) {
+    /* add at the end */
+    lookup_tables.push_back(new_table);
+    dscene->lookup_table.resize(new_table.offset + new_table.size);
+  }
+
+  /* copy table data and return offset */
+  float *dtable = dscene->lookup_table.data();
+  memcpy(dtable + new_table.offset, &data[0], sizeof(float) * data.size());
+
+  return new_table.offset;
+}
+
+void LookupTables::remove_table(size_t *offset)
+{
+  if (*offset == TABLE_OFFSET_INVALID) {
+    /* The table isn't even allocated, so just return here. */
+    return;
+  }
+
+  need_update_ = true;
+
+  list<Table>::iterator table;
+
+  for (table = lookup_tables.begin(); table != lookup_tables.end(); table++) {
+    if (table->offset == *offset) {
+      lookup_tables.erase(table);
+      *offset = TABLE_OFFSET_INVALID;
+      return;
+    }
+  }
+
+  assert(table != lookup_tables.end());
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/tables.h b/intern/cycles/scene/tables.h
new file mode 100644
index 00000000000..de538e2af78
--- /dev/null
+++ b/intern/cycles/scene/tables.h
@@ -0,0 +1,57 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __TABLES_H__
+#define __TABLES_H__
+
+#include "util/util_list.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+class DeviceScene;
+class Scene;
+
+enum { TABLE_CHUNK_SIZE = 256 };
+enum { TABLE_OFFSET_INVALID = -1 };
+
+class LookupTables {
+  bool need_update_;
+
+ public:
+  struct Table {
+    size_t offset;
+    size_t size;
+  };
+
+  list<Table> lookup_tables;
+
+  LookupTables();
+  ~LookupTables();
+
+  void device_update(Device *device, DeviceScene *dscene, Scene *scene);
+  void device_free(Device *device, DeviceScene *dscene);
+
+  bool need_update() const;
+
+  size_t add_table(DeviceScene *dscene, vector<float> &data);
+  void remove_table(size_t *offset);
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __TABLES_H__ */
diff --git a/intern/cycles/scene/volume.cpp b/intern/cycles/scene/volume.cpp
new file mode 100644
index 00000000000..757388a4491
--- /dev/null
+++ b/intern/cycles/scene/volume.cpp
@@ -0,0 +1,635 @@
+/*
+ * Copyright 2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "scene/volume.h"
+#include "scene/attribute.h"
+#include "scene/image_vdb.h"
+#include "scene/scene.h"
+
+#ifdef WITH_OPENVDB
+#  include <openvdb/tools/Dense.h>
+#  include <openvdb/tools/GridTransformer.h>
+#  include <openvdb/tools/Morphology.h>
+#endif
+
+#include "util/util_foreach.h"
+#include "util/util_hash.h"
+#include "util/util_logging.h"
+#include "util/util_openvdb.h"
+#include "util/util_progress.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+NODE_DEFINE(Volume)
+{
+  NodeType *type = NodeType::add("volume", create, NodeType::NONE, Mesh::get_node_type());
+
+  SOCKET_FLOAT(clipping, "Clipping", 0.001f);
+  SOCKET_FLOAT(step_size, "Step Size", 0.0f);
+  SOCKET_BOOLEAN(object_space, "Object Space", false);
+
+  return type;
+}
+
+Volume::Volume() : Mesh(get_node_type(), Geometry::VOLUME)
+{
+  clipping = 0.001f;
+  step_size = 0.0f;
+  object_space = false;
+}
+
+void Volume::clear(bool preserve_shaders)
+{
+  Mesh::clear(preserve_shaders, true);
+}
+
+struct QuadData {
+  int v0, v1, v2, v3;
+
+  float3 normal;
+};
+
+enum {
+  QUAD_X_MIN = 0,
+  QUAD_X_MAX = 1,
+  QUAD_Y_MIN = 2,
+  QUAD_Y_MAX = 3,
+  QUAD_Z_MIN = 4,
+  QUAD_Z_MAX = 5,
+};
+
+#ifdef WITH_OPENVDB
+const int quads_indices[6][4] = {
+    /* QUAD_X_MIN */
+    {4, 0, 3, 7},
+    /* QUAD_X_MAX */
+    {1, 5, 6, 2},
+    /* QUAD_Y_MIN */
+    {4, 5, 1, 0},
+    /* QUAD_Y_MAX */
+    {3, 2, 6, 7},
+    /* QUAD_Z_MIN */
+    {0, 1, 2, 3},
+    /* QUAD_Z_MAX */
+    {5, 4, 7, 6},
+};
+
+const float3 quads_normals[6] = {
+    /* QUAD_X_MIN */
+    make_float3(-1.0f, 0.0f, 0.0f),
+    /* QUAD_X_MAX */
+    make_float3(1.0f, 0.0f, 0.0f),
+    /* QUAD_Y_MIN */
+    make_float3(0.0f, -1.0f, 0.0f),
+    /* QUAD_Y_MAX */
+    make_float3(0.0f, 1.0f, 0.0f),
+    /* QUAD_Z_MIN */
+    make_float3(0.0f, 0.0f, -1.0f),
+    /* QUAD_Z_MAX */
+    make_float3(0.0f, 0.0f, 1.0f),
+};
+
+static int add_vertex(int3 v,
+                      vector<int3> &vertices,
+                      int3 res,
+                      unordered_map<size_t, int> &used_verts)
+{
+  size_t vert_key = v.x + v.y * (res.x + 1) + v.z * (res.x + 1) * (res.y + 1);
+  unordered_map<size_t, int>::iterator it = used_verts.find(vert_key);
+
+  if (it != used_verts.end()) {
+    return it->second;
+  }
+
+  int vertex_offset = vertices.size();
+  used_verts[vert_key] = vertex_offset;
+  vertices.push_back(v);
+  return vertex_offset;
+}
+
+static void create_quad(int3 corners[8],
+                        vector<int3> &vertices,
+                        vector<QuadData> &quads,
+                        int3 res,
+                        unordered_map<size_t, int> &used_verts,
+                        int face_index)
+{
+  QuadData quad;
+  quad.v0 = add_vertex(corners[quads_indices[face_index][0]], vertices, res, used_verts);
+  quad.v1 = add_vertex(corners[quads_indices[face_index][1]], vertices, res, used_verts);
+  quad.v2 = add_vertex(corners[quads_indices[face_index][2]], vertices, res, used_verts);
+  quad.v3 = add_vertex(corners[quads_indices[face_index][3]], vertices, res, used_verts);
+  quad.normal = quads_normals[face_index];
+
+  quads.push_back(quad);
+}
+#endif
+
+/* Create a mesh from a volume.
+ *
+ * The way the algorithm works is as follows:
+ *
+ * - The topologies of input OpenVDB grids are merged into a temporary grid.
+ * - Voxels of the temporary grid are dilated to account for the padding necessary for volume
+ * sampling.
+ * - Quads are created on the boundary between active and inactive leaf nodes of the temporary
+ * grid.
+ */
+class VolumeMeshBuilder {
+ public:
+#ifdef WITH_OPENVDB
+  /* use a MaskGrid to store the topology to save memory */
+  openvdb::MaskGrid::Ptr topology_grid;
+  openvdb::CoordBBox bbox;
+#endif
+  bool first_grid;
+
+  VolumeMeshBuilder();
+
+#ifdef WITH_OPENVDB
+  void add_grid(openvdb::GridBase::ConstPtr grid, bool do_clipping, float volume_clipping);
+#endif
+
+  void add_padding(int pad_size);
+
+  void create_mesh(vector<float3> &vertices,
+                   vector<int> &indices,
+                   vector<float3> &face_normals,
+                   const float face_overlap_avoidance);
+
+  void generate_vertices_and_quads(vector<int3> &vertices_is, vector<QuadData> &quads);
+
+  void convert_object_space(const vector<int3> &vertices,
+                            vector<float3> &out_vertices,
+                            const float face_overlap_avoidance);
+
+  void convert_quads_to_tris(const vector<QuadData> &quads,
+                             vector<int> &tris,
+                             vector<float3> &face_normals);
+
+  bool empty_grid() const;
+
+#ifdef WITH_OPENVDB
+  template<typename GridType>
+  void merge_grid(openvdb::GridBase::ConstPtr grid, bool do_clipping, float volume_clipping)
+  {
+    typename GridType::ConstPtr typed_grid = openvdb::gridConstPtrCast<GridType>(grid);
+
+    if (do_clipping) {
+      using ValueType = typename GridType::ValueType;
+      typename GridType::Ptr copy = typed_grid->deepCopy();
+      typename GridType::ValueOnIter iter = copy->beginValueOn();
+
+      for (; iter; ++iter) {
+        if (iter.getValue() < ValueType(volume_clipping)) {
+          iter.setValueOff();
+        }
+      }
+
+      typed_grid = copy;
+    }
+
+    topology_grid->topologyUnion(*typed_grid);
+  }
+#endif
+};
+
+VolumeMeshBuilder::VolumeMeshBuilder()
+{
+  first_grid = true;
+}
+
+#ifdef WITH_OPENVDB
+void VolumeMeshBuilder::add_grid(openvdb::GridBase::ConstPtr grid,
+                                 bool do_clipping,
+                                 float volume_clipping)
+{
+  /* set the transform of our grid from the first one */
+  if (first_grid) {
+    topology_grid = openvdb::MaskGrid::create();
+    topology_grid->setTransform(grid->transform().copy());
+    first_grid = false;
+  }
+  /* if the transforms do not match, we need to resample one of the grids so that
+   * its index space registers with that of the other, here we resample our mask
+   * grid so memory usage is kept low */
+  else if (topology_grid->transform() != grid->transform()) {
+    openvdb::MaskGrid::Ptr temp_grid = topology_grid->copyWithNewTree();
+    temp_grid->setTransform(grid->transform().copy());
+    openvdb::tools::resampleToMatch<openvdb::tools::BoxSampler>(*topology_grid, *temp_grid);
+    topology_grid = temp_grid;
+    topology_grid->setTransform(grid->transform().copy());
+  }
+
+  if (grid->isType<openvdb::FloatGrid>()) {
+    merge_grid<openvdb::FloatGrid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::Vec3fGrid>()) {
+    merge_grid<openvdb::Vec3fGrid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::Vec4fGrid>()) {
+    merge_grid<openvdb::Vec4fGrid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::BoolGrid>()) {
+    merge_grid<openvdb::BoolGrid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::DoubleGrid>()) {
+    merge_grid<openvdb::DoubleGrid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::Int32Grid>()) {
+    merge_grid<openvdb::Int32Grid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::Int64Grid>()) {
+    merge_grid<openvdb::Int64Grid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::Vec3IGrid>()) {
+    merge_grid<openvdb::Vec3IGrid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::Vec3dGrid>()) {
+    merge_grid<openvdb::Vec3dGrid>(grid, do_clipping, volume_clipping);
+  }
+  else if (grid->isType<openvdb::MaskGrid>()) {
+    topology_grid->topologyUnion(*openvdb::gridConstPtrCast<openvdb::MaskGrid>(grid));
+  }
+}
+#endif
+
+void VolumeMeshBuilder::add_padding(int pad_size)
+{
+#ifdef WITH_OPENVDB
+  openvdb::tools::dilateVoxels(topology_grid->tree(), pad_size);
+#else
+  (void)pad_size;
+#endif
+}
+
+void VolumeMeshBuilder::create_mesh(vector<float3> &vertices,
+                                    vector<int> &indices,
+                                    vector<float3> &face_normals,
+                                    const float face_overlap_avoidance)
+{
+#ifdef WITH_OPENVDB
+  /* We create vertices in index space (is), and only convert them to object
+   * space when done. */
+  vector<int3> vertices_is;
+  vector<QuadData> quads;
+
+  /* make sure we only have leaf nodes in the tree, as tiles are not handled by
+   * this algorithm */
+  topology_grid->tree().voxelizeActiveTiles();
+
+  generate_vertices_and_quads(vertices_is, quads);
+
+  convert_object_space(vertices_is, vertices, face_overlap_avoidance);
+
+  convert_quads_to_tris(quads, indices, face_normals);
+#else
+  (void)vertices;
+  (void)indices;
+  (void)face_normals;
+  (void)face_overlap_avoidance;
+#endif
+}
+
+void VolumeMeshBuilder::generate_vertices_and_quads(vector<ccl::int3> &vertices_is,
+                                                    vector<QuadData> &quads)
+{
+#ifdef WITH_OPENVDB
+  const openvdb::MaskGrid::TreeType &tree = topology_grid->tree();
+  tree.evalLeafBoundingBox(bbox);
+
+  const int3 resolution = make_int3(bbox.dim().x(), bbox.dim().y(), bbox.dim().z());
+
+  unordered_map<size_t, int> used_verts;
+
+  for (auto iter = tree.cbeginLeaf(); iter; ++iter) {
+    openvdb::CoordBBox leaf_bbox = iter->getNodeBoundingBox();
+    /* +1 to convert from exclusive to include bounds. */
+    leaf_bbox.max() = leaf_bbox.max().offsetBy(1);
+
+    int3 min = make_int3(leaf_bbox.min().x(), leaf_bbox.min().y(), leaf_bbox.min().z());
+    int3 max = make_int3(leaf_bbox.max().x(), leaf_bbox.max().y(), leaf_bbox.max().z());
+
+    int3 corners[8] = {
+        make_int3(min[0], min[1], min[2]),
+        make_int3(max[0], min[1], min[2]),
+        make_int3(max[0], max[1], min[2]),
+        make_int3(min[0], max[1], min[2]),
+        make_int3(min[0], min[1], max[2]),
+        make_int3(max[0], min[1], max[2]),
+        make_int3(max[0], max[1], max[2]),
+        make_int3(min[0], max[1], max[2]),
+    };
+
+    /* Only create a quad if on the border between an active and an inactive leaf.
+     *
+     * We verify that a leaf exists by probing a coordinate that is at its center,
+     * to do so we compute the center of the current leaf and offset this coordinate
+     * by the size of a leaf in each direction.
+     */
+    static const int LEAF_DIM = openvdb::MaskGrid::TreeType::LeafNodeType::DIM;
+    auto center = leaf_bbox.min() + openvdb::Coord(LEAF_DIM / 2);
+
+    if (!tree.probeLeaf(openvdb::Coord(center.x() - LEAF_DIM, center.y(), center.z()))) {
+      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_X_MIN);
+    }
+
+    if (!tree.probeLeaf(openvdb::Coord(center.x() + LEAF_DIM, center.y(), center.z()))) {
+      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_X_MAX);
+    }
+
+    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y() - LEAF_DIM, center.z()))) {
+      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Y_MIN);
+    }
+
+    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y() + LEAF_DIM, center.z()))) {
+      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Y_MAX);
+    }
+
+    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y(), center.z() - LEAF_DIM))) {
+      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Z_MIN);
+    }
+
+    if (!tree.probeLeaf(openvdb::Coord(center.x(), center.y(), center.z() + LEAF_DIM))) {
+      create_quad(corners, vertices_is, quads, resolution, used_verts, QUAD_Z_MAX);
+    }
+  }
+#else
+  (void)vertices_is;
+  (void)quads;
+#endif
+}
+
+void VolumeMeshBuilder::convert_object_space(const vector<int3> &vertices,
+                                             vector<float3> &out_vertices,
+                                             const float face_overlap_avoidance)
+{
+#ifdef WITH_OPENVDB
+  /* compute the offset for the face overlap avoidance */
+  bbox = topology_grid->evalActiveVoxelBoundingBox();
+  openvdb::Coord dim = bbox.dim();
+
+  float3 cell_size = make_float3(1.0f / dim.x(), 1.0f / dim.y(), 1.0f / dim.z());
+  float3 point_offset = cell_size * face_overlap_avoidance;
+
+  out_vertices.reserve(vertices.size());
+
+  for (size_t i = 0; i < vertices.size(); ++i) {
+    openvdb::math::Vec3d p = topology_grid->indexToWorld(
+        openvdb::math::Vec3d(vertices[i].x, vertices[i].y, vertices[i].z));
+    float3 vertex = make_float3((float)p.x(), (float)p.y(), (float)p.z());
+    out_vertices.push_back(vertex + point_offset);
+  }
+#else
+  (void)vertices;
+  (void)out_vertices;
+  (void)face_overlap_avoidance;
+#endif
+}
+
+void VolumeMeshBuilder::convert_quads_to_tris(const vector<QuadData> &quads,
+                                              vector<int> &tris,
+                                              vector<float3> &face_normals)
+{
+  int index_offset = 0;
+  tris.resize(quads.size() * 6);
+  face_normals.reserve(quads.size() * 2);
+
+  for (size_t i = 0; i < quads.size(); ++i) {
+    tris[index_offset++] = quads[i].v0;
+    tris[index_offset++] = quads[i].v2;
+    tris[index_offset++] = quads[i].v1;
+
+    face_normals.push_back(quads[i].normal);
+
+    tris[index_offset++] = quads[i].v0;
+    tris[index_offset++] = quads[i].v3;
+    tris[index_offset++] = quads[i].v2;
+
+    face_normals.push_back(quads[i].normal);
+  }
+}
+
+bool VolumeMeshBuilder::empty_grid() const
+{
+#ifdef WITH_OPENVDB
+  return !topology_grid || topology_grid->tree().leafCount() == 0;
+#else
+  return true;
+#endif
+}
+
+#ifdef WITH_OPENVDB
+template<typename GridType>
+static openvdb::GridBase::ConstPtr openvdb_grid_from_device_texture(device_texture *image_memory,
+                                                                    float volume_clipping,
+                                                                    Transform transform_3d)
+{
+  using ValueType = typename GridType::ValueType;
+
+  openvdb::CoordBBox dense_bbox(0,
+                                0,
+                                0,
+                                image_memory->data_width - 1,
+                                image_memory->data_height - 1,
+                                image_memory->data_depth - 1);
+
+  typename GridType::Ptr sparse = GridType::create(ValueType(0.0f));
+  if (dense_bbox.empty()) {
+    return sparse;
+  }
+
+  openvdb::tools::Dense<ValueType, openvdb::tools::MemoryLayout::LayoutXYZ> dense(
+      dense_bbox, static_cast<ValueType *>(image_memory->host_pointer));
+
+  openvdb::tools::copyFromDense(dense, *sparse, ValueType(volume_clipping));
+
+  /* #copyFromDense will remove any leaf node that contains constant data and replace it with a
+   * tile, however, we need to preserve the leaves in order to generate the mesh, so re-voxelize
+   * the leaves that were pruned. This should not affect areas that were skipped due to the
+   * volume_clipping parameter. */
+  sparse->tree().voxelizeActiveTiles();
+
+  /* Compute index to world matrix. */
+  float3 voxel_size = make_float3(1.0f / image_memory->data_width,
+                                  1.0f / image_memory->data_height,
+                                  1.0f / image_memory->data_depth);
+
+  transform_3d = transform_inverse(transform_3d);
+
+  openvdb::Mat4R index_to_world_mat((double)(voxel_size.x * transform_3d[0][0]),
+                                    0.0,
+                                    0.0,
+                                    0.0,
+                                    0.0,
+                                    (double)(voxel_size.y * transform_3d[1][1]),
+                                    0.0,
+                                    0.0,
+                                    0.0,
+                                    0.0,
+                                    (double)(voxel_size.z * transform_3d[2][2]),
+                                    0.0,
+                                    (double)transform_3d[0][3],
+                                    (double)transform_3d[1][3],
+                                    (double)transform_3d[2][3],
+                                    1.0);
+
+  openvdb::math::Transform::Ptr index_to_world_tfm =
+      openvdb::math::Transform::createLinearTransform(index_to_world_mat);
+
+  sparse->setTransform(index_to_world_tfm);
+
+  return sparse;
+}
+#endif
+
+/* ************************************************************************** */
+
+void GeometryManager::create_volume_mesh(Volume *volume, Progress &progress)
+{
+  string msg = string_printf("Computing Volume Mesh %s", volume->name.c_str());
+  progress.set_status("Updating Mesh", msg);
+
+  /* Find shader and compute padding based on volume shader interpolation settings. */
+  Shader *volume_shader = NULL;
+  int pad_size = 0;
+
+  foreach (Node *node, volume->get_used_shaders()) {
+    Shader *shader = static_cast<Shader *>(node);
+
+    if (!shader->has_volume) {
+      continue;
+    }
+
+    volume_shader = shader;
+
+    if (shader->get_volume_interpolation_method() == VOLUME_INTERPOLATION_LINEAR) {
+      pad_size = max(1, pad_size);
+    }
+    else if (shader->get_volume_interpolation_method() == VOLUME_INTERPOLATION_CUBIC) {
+      pad_size = max(2, pad_size);
+    }
+
+    break;
+  }
+
+  /* Clear existing volume mesh, done here in case we early out due to
+   * empty grid or missing volume shader.
+   * Also keep the shaders to avoid infinite loops when synchronizing, as this will tag the shaders
+   * as having changed. */
+  volume->clear(true);
+  volume->need_update_rebuild = true;
+
+  if (!volume_shader) {
+    return;
+  }
+
+  /* Create volume mesh builder. */
+  VolumeMeshBuilder builder;
+
+#ifdef WITH_OPENVDB
+  foreach (Attribute &attr, volume->attributes.attributes) {
+    if (attr.element != ATTR_ELEMENT_VOXEL) {
+      continue;
+    }
+
+    bool do_clipping = false;
+
+    ImageHandle &handle = attr.data_voxel();
+
+    /* Try building from OpenVDB grid directly. */
+    VDBImageLoader *vdb_loader = handle.vdb_loader();
+    openvdb::GridBase::ConstPtr grid;
+    if (vdb_loader) {
+      grid = vdb_loader->get_grid();
+
+      /* If building from an OpenVDB grid, we need to manually clip the values. */
+      do_clipping = true;
+    }
+
+    /* Else fall back to creating an OpenVDB grid from the dense volume data. */
+    if (!grid) {
+      device_texture *image_memory = handle.image_memory();
+
+      if (image_memory->data_elements == 1) {
+        grid = openvdb_grid_from_device_texture<openvdb::FloatGrid>(
+            image_memory, volume->get_clipping(), handle.metadata().transform_3d);
+      }
+      else if (image_memory->data_elements == 3) {
+        grid = openvdb_grid_from_device_texture<openvdb::Vec3fGrid>(
+            image_memory, volume->get_clipping(), handle.metadata().transform_3d);
+      }
+      else if (image_memory->data_elements == 4) {
+        grid = openvdb_grid_from_device_texture<openvdb::Vec4fGrid>(
+            image_memory, volume->get_clipping(), handle.metadata().transform_3d);
+      }
+    }
+
+    if (grid) {
+      builder.add_grid(grid, do_clipping, volume->get_clipping());
+    }
+  }
+#endif
+
+  /* If nothing to build, early out. */
+  if (builder.empty_grid()) {
+    return;
+  }
+
+  builder.add_padding(pad_size);
+
+  /* Slightly offset vertex coordinates to avoid overlapping faces with other
+   * volumes or meshes. The proper solution would be to improve intersection in
+   * the kernel to support robust handling of multiple overlapping faces or use
+   * an all-hit intersection similar to shadows. */
+  const float face_overlap_avoidance = 0.1f *
+                                       hash_uint_to_float(hash_string(volume->name.c_str()));
+
+  /* Create mesh. */
+  vector<float3> vertices;
+  vector<int> indices;
+  vector<float3> face_normals;
+  builder.create_mesh(vertices, indices, face_normals, face_overlap_avoidance);
+
+  volume->reserve_mesh(vertices.size(), indices.size() / 3);
+  volume->used_shaders.clear();
+  volume->used_shaders.push_back_slow(volume_shader);
+
+  for (size_t i = 0; i < vertices.size(); ++i) {
+    volume->add_vertex(vertices[i]);
+  }
+
+  for (size_t i = 0; i < indices.size(); i += 3) {
+    volume->add_triangle(indices[i], indices[i + 1], indices[i + 2], 0, false);
+  }
+
+  Attribute *attr_fN = volume->attributes.add(ATTR_STD_FACE_NORMAL);
+  float3 *fN = attr_fN->data_float3();
+
+  for (size_t i = 0; i < face_normals.size(); ++i) {
+    fN[i] = face_normals[i];
+  }
+
+  /* Print stats. */
+  VLOG(1) << "Memory usage volume mesh: "
+          << ((vertices.size() + face_normals.size()) * sizeof(float3) +
+              indices.size() * sizeof(int)) /
+                 (1024.0 * 1024.0)
+          << "Mb.";
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/scene/volume.h b/intern/cycles/scene/volume.h
new file mode 100644
index 00000000000..eae48f78b8c
--- /dev/null
+++ b/intern/cycles/scene/volume.h
@@ -0,0 +1,38 @@
+/*
+ * Copyright 2020 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "graph/node.h"
+
+#include "scene/mesh.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Volume : public Mesh {
+ public:
+  NODE_DECLARE
+
+  Volume();
+
+  NODE_SOCKET_API(float, clipping)
+  NODE_SOCKET_API(float, step_size)
+  NODE_SOCKET_API(bool, object_space)
+
+  virtual void clear(bool preserve_shaders = false) override;
+};
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/session/CMakeLists.txt b/intern/cycles/session/CMakeLists.txt
new file mode 100644
index 00000000000..f441def128e
--- /dev/null
+++ b/intern/cycles/session/CMakeLists.txt
@@ -0,0 +1,48 @@
+# Copyright 2011-2021 Blender Foundation
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+set(INC
+  ..
+)
+
+set(SRC
+  buffers.cpp
+  denoising.cpp
+  merge.cpp
+  session.cpp
+  tile.cpp
+)
+
+set(SRC_HEADERS
+  buffers.h
+  display_driver.h
+  denoising.h
+  merge.h
+  output_driver.h
+  session.h
+  tile.h
+)
+
+set(LIB
+  cycles_device
+  cycles_integrator
+  cycles_util
+)
+
+include_directories(${INC})
+include_directories(SYSTEM ${INC_SYS})
+
+add_definitions(${GL_DEFINITIONS})
+
+cycles_add_library(cycles_session "${LIB}" ${SRC} ${SRC_HEADERS})
diff --git a/intern/cycles/session/buffers.cpp b/intern/cycles/session/buffers.cpp
new file mode 100644
index 00000000000..439c0f826ea
--- /dev/null
+++ b/intern/cycles/session/buffers.cpp
@@ -0,0 +1,384 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <stdlib.h>
+
+#include "device/device.h"
+#include "session/buffers.h"
+
+#include "util/util_foreach.h"
+#include "util/util_hash.h"
+#include "util/util_math.h"
+#include "util/util_time.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* --------------------------------------------------------------------
+ * Convert part information to an index of `BufferParams::pass_offset_`.
+ */
+
+static int pass_type_mode_to_index(PassType pass_type, PassMode mode)
+{
+  int index = static_cast<int>(pass_type) * 2;
+
+  if (mode == PassMode::DENOISED) {
+    ++index;
+  }
+
+  return index;
+}
+
+static int pass_to_index(const BufferPass &pass)
+{
+  return pass_type_mode_to_index(pass.type, pass.mode);
+}
+
+/* --------------------------------------------------------------------
+ * Buffer pass.
+ */
+
+NODE_DEFINE(BufferPass)
+{
+  NodeType *type = NodeType::add("buffer_pass", create);
+
+  const NodeEnum *pass_type_enum = Pass::get_type_enum();
+  const NodeEnum *pass_mode_enum = Pass::get_mode_enum();
+
+  SOCKET_ENUM(type, "Type", *pass_type_enum, PASS_COMBINED);
+  SOCKET_ENUM(mode, "Mode", *pass_mode_enum, static_cast<int>(PassMode::DENOISED));
+  SOCKET_STRING(name, "Name", ustring());
+  SOCKET_BOOLEAN(include_albedo, "Include Albedo", false);
+
+  SOCKET_INT(offset, "Offset", -1);
+
+  return type;
+}
+
+BufferPass::BufferPass() : Node(get_node_type())
+{
+}
+
+BufferPass::BufferPass(const Pass *scene_pass)
+    : Node(get_node_type()),
+      type(scene_pass->get_type()),
+      mode(scene_pass->get_mode()),
+      name(scene_pass->get_name()),
+      include_albedo(scene_pass->get_include_albedo())
+{
+}
+
+PassInfo BufferPass::get_info() const
+{
+  return Pass::get_info(type, include_albedo);
+}
+
+/* --------------------------------------------------------------------
+ * Buffer Params.
+ */
+
+NODE_DEFINE(BufferParams)
+{
+  NodeType *type = NodeType::add("buffer_params", create);
+
+  SOCKET_INT(width, "Width", 0);
+  SOCKET_INT(height, "Height", 0);
+
+  SOCKET_INT(window_x, "Window X", 0);
+  SOCKET_INT(window_y, "Window Y", 0);
+  SOCKET_INT(window_width, "Window Width", 0);
+  SOCKET_INT(window_height, "Window Height", 0);
+
+  SOCKET_INT(full_x, "Full X", 0);
+  SOCKET_INT(full_y, "Full Y", 0);
+  SOCKET_INT(full_width, "Full Width", 0);
+  SOCKET_INT(full_height, "Full Height", 0);
+
+  SOCKET_STRING(layer, "Layer", ustring());
+  SOCKET_STRING(view, "View", ustring());
+  SOCKET_INT(samples, "Samples", 0);
+  SOCKET_FLOAT(exposure, "Exposure", 1.0f);
+  SOCKET_BOOLEAN(use_approximate_shadow_catcher, "Use Approximate Shadow Catcher", false);
+  SOCKET_BOOLEAN(use_transparent_background, "Transparent Background", false);
+
+  /* Notes:
+   *  - Skip passes since they do not follow typical container socket definition.
+   *    Might look into covering those as a socket in the future.
+   *
+   *  - Skip offset, stride, and pass stride since those can be delivered from the passes and
+   *    rest of the sockets. */
+
+  return type;
+}
+
+BufferParams::BufferParams() : Node(get_node_type())
+{
+  reset_pass_offset();
+}
+
+void BufferParams::update_passes()
+{
+  update_offset_stride();
+  reset_pass_offset();
+
+  pass_stride = 0;
+  for (const BufferPass &pass : passes) {
+    if (pass.offset != PASS_UNUSED) {
+      const int index = pass_to_index(pass);
+      if (pass_offset_[index] == PASS_UNUSED) {
+        pass_offset_[index] = pass_stride;
+      }
+
+      pass_stride += pass.get_info().num_components;
+    }
+  }
+}
+
+void BufferParams::update_passes(const vector<Pass *> &scene_passes)
+{
+  passes.clear();
+
+  pass_stride = 0;
+  for (const Pass *scene_pass : scene_passes) {
+    BufferPass buffer_pass(scene_pass);
+
+    if (scene_pass->is_written()) {
+      buffer_pass.offset = pass_stride;
+      pass_stride += scene_pass->get_info().num_components;
+    }
+    else {
+      buffer_pass.offset = PASS_UNUSED;
+    }
+
+    passes.emplace_back(std::move(buffer_pass));
+  }
+
+  update_passes();
+}
+
+void BufferParams::reset_pass_offset()
+{
+  for (int i = 0; i < kNumPassOffsets; ++i) {
+    pass_offset_[i] = PASS_UNUSED;
+  }
+}
+
+int BufferParams::get_pass_offset(PassType pass_type, PassMode mode) const
+{
+  if (pass_type == PASS_NONE || pass_type == PASS_UNUSED) {
+    return PASS_UNUSED;
+  }
+
+  const int index = pass_type_mode_to_index(pass_type, mode);
+  return pass_offset_[index];
+}
+
+const BufferPass *BufferParams::find_pass(string_view name) const
+{
+  for (const BufferPass &pass : passes) {
+    if (pass.name == name) {
+      return &pass;
+    }
+  }
+
+  return nullptr;
+}
+
+const BufferPass *BufferParams::find_pass(PassType type, PassMode mode) const
+{
+  for (const BufferPass &pass : passes) {
+    if (pass.type == type && pass.mode == mode) {
+      return &pass;
+    }
+  }
+
+  return nullptr;
+}
+
+const BufferPass *BufferParams::get_actual_display_pass(PassType type, PassMode mode) const
+{
+  const BufferPass *pass = find_pass(type, mode);
+  return get_actual_display_pass(pass);
+}
+
+const BufferPass *BufferParams::get_actual_display_pass(const BufferPass *pass) const
+{
+  if (!pass) {
+    return nullptr;
+  }
+
+  if (pass->type == PASS_COMBINED) {
+    const BufferPass *shadow_catcher_matte_pass = find_pass(PASS_SHADOW_CATCHER_MATTE, pass->mode);
+    if (shadow_catcher_matte_pass) {
+      pass = shadow_catcher_matte_pass;
+    }
+  }
+
+  return pass;
+}
+
+void BufferParams::update_offset_stride()
+{
+  offset = -(full_x + full_y * width);
+  stride = width;
+}
+
+bool BufferParams::modified(const BufferParams &other) const
+{
+  if (width != other.width || height != other.height) {
+    return true;
+  }
+
+  if (full_x != other.full_x || full_y != other.full_y || full_width != other.full_width ||
+      full_height != other.full_height) {
+    return true;
+  }
+
+  if (window_x != other.window_x || window_y != other.window_y ||
+      window_width != other.window_width || window_height != other.window_height) {
+    return true;
+  }
+
+  if (offset != other.offset || stride != other.stride || pass_stride != other.pass_stride) {
+    return true;
+  }
+
+  if (layer != other.layer || view != other.view) {
+    return false;
+  }
+
+  if (exposure != other.exposure ||
+      use_approximate_shadow_catcher != other.use_approximate_shadow_catcher ||
+      use_transparent_background != other.use_transparent_background) {
+    return true;
+  }
+
+  return !(passes == other.passes);
+}
+
+/* --------------------------------------------------------------------
+ * Render Buffers.
+ */
+
+RenderBuffers::RenderBuffers(Device *device) : buffer(device, "RenderBuffers", MEM_READ_WRITE)
+{
+}
+
+RenderBuffers::~RenderBuffers()
+{
+  buffer.free();
+}
+
+void RenderBuffers::reset(const BufferParams &params_)
+{
+  DCHECK(params_.pass_stride != -1);
+
+  params = params_;
+
+  /* re-allocate buffer */
+  buffer.alloc(params.width * params.pass_stride, params.height);
+}
+
+void RenderBuffers::zero()
+{
+  buffer.zero_to_device();
+}
+
+bool RenderBuffers::copy_from_device()
+{
+  DCHECK(params.pass_stride != -1);
+
+  if (!buffer.device_pointer)
+    return false;
+
+  buffer.copy_from_device(0, params.width * params.pass_stride, params.height);
+
+  return true;
+}
+
+void RenderBuffers::copy_to_device()
+{
+  buffer.copy_to_device();
+}
+
+void render_buffers_host_copy_denoised(RenderBuffers *dst,
+                                       const BufferParams &dst_params,
+                                       const RenderBuffers *src,
+                                       const BufferParams &src_params,
+                                       const size_t src_offset)
+{
+  DCHECK_EQ(dst_params.width, src_params.width);
+  /* TODO(sergey): More sanity checks to avoid buffer overrun. */
+
+  /* Create a map of pass offsets to be copied.
+   * Assume offsets are different to allow copying passes between buffers with different set of
+   * passes. */
+
+  struct {
+    int dst_offset;
+    int src_offset;
+  } pass_offsets[PASS_NUM];
+
+  int num_passes = 0;
+
+  for (int i = 0; i < PASS_NUM; ++i) {
+    const PassType pass_type = static_cast<PassType>(i);
+
+    const int dst_pass_offset = dst_params.get_pass_offset(pass_type, PassMode::DENOISED);
+    if (dst_pass_offset == PASS_UNUSED) {
+      continue;
+    }
+
+    const int src_pass_offset = src_params.get_pass_offset(pass_type, PassMode::DENOISED);
+    if (src_pass_offset == PASS_UNUSED) {
+      continue;
+    }
+
+    pass_offsets[num_passes].dst_offset = dst_pass_offset;
+    pass_offsets[num_passes].src_offset = src_pass_offset;
+    ++num_passes;
+  }
+
+  /* Copy passes. */
+  /* TODO(sergey): Make it more reusable, allowing implement copy of noisy passes. */
+
+  const int64_t dst_width = dst_params.width;
+  const int64_t dst_height = dst_params.height;
+  const int64_t dst_pass_stride = dst_params.pass_stride;
+  const int64_t dst_num_pixels = dst_width * dst_height;
+
+  const int64_t src_pass_stride = src_params.pass_stride;
+  const int64_t src_offset_in_floats = src_offset * src_pass_stride;
+
+  const float *src_pixel = src->buffer.data() + src_offset_in_floats;
+  float *dst_pixel = dst->buffer.data();
+
+  for (int i = 0; i < dst_num_pixels;
+       ++i, src_pixel += src_pass_stride, dst_pixel += dst_pass_stride) {
+    for (int pass_offset_idx = 0; pass_offset_idx < num_passes; ++pass_offset_idx) {
+      const int dst_pass_offset = pass_offsets[pass_offset_idx].dst_offset;
+      const int src_pass_offset = pass_offsets[pass_offset_idx].src_offset;
+
+      /* TODO(sergey): Support non-RGBA passes. */
+      dst_pixel[dst_pass_offset + 0] = src_pixel[src_pass_offset + 0];
+      dst_pixel[dst_pass_offset + 1] = src_pixel[src_pass_offset + 1];
+      dst_pixel[dst_pass_offset + 2] = src_pixel[src_pass_offset + 2];
+      dst_pixel[dst_pass_offset + 3] = src_pixel[src_pass_offset + 3];
+    }
+  }
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/session/buffers.h b/intern/cycles/session/buffers.h
new file mode 100644
index 00000000000..4c261430bb6
--- /dev/null
+++ b/intern/cycles/session/buffers.h
@@ -0,0 +1,199 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __BUFFERS_H__
+#define __BUFFERS_H__
+
+#include "device/device_memory.h"
+#include "graph/node.h"
+#include "scene/pass.h"
+
+#include "kernel/kernel_types.h"
+
+#include "util/util_half.h"
+#include "util/util_string.h"
+#include "util/util_thread.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+class Device;
+struct DeviceDrawParams;
+struct float4;
+
+/* NOTE: Is not a real scene node. Using Node API for ease of (de)serialization. */
+class BufferPass : public Node {
+ public:
+  NODE_DECLARE
+
+  PassType type = PASS_NONE;
+  PassMode mode = PassMode::NOISY;
+  ustring name;
+  bool include_albedo = false;
+
+  int offset = -1;
+
+  BufferPass();
+  explicit BufferPass(const Pass *scene_pass);
+
+  BufferPass(BufferPass &&other) noexcept = default;
+  BufferPass(const BufferPass &other) = default;
+
+  BufferPass &operator=(BufferPass &&other) = default;
+  BufferPass &operator=(const BufferPass &other) = default;
+
+  ~BufferPass() = default;
+
+  PassInfo get_info() const;
+
+  inline bool operator==(const BufferPass &other) const
+  {
+    return type == other.type && mode == other.mode && name == other.name &&
+           include_albedo == other.include_albedo && offset == other.offset;
+  }
+  inline bool operator!=(const BufferPass &other) const
+  {
+    return !(*this == other);
+  }
+};
+
+/* Buffer Parameters
+ * Size of render buffer and how it fits in the full image (border render). */
+
+/* NOTE: Is not a real scene node. Using Node API for ease of (de)serialization. */
+class BufferParams : public Node {
+ public:
+  NODE_DECLARE
+
+  /* Width/height of the physical buffer. */
+  int width = 0;
+  int height = 0;
+
+  /* Windows defines which part of the buffers is visible. The part outside of the window is
+   * considered an "overscan".
+   *
+   * Window X and Y are relative to the position of the buffer in the full buffer. */
+  int window_x = 0;
+  int window_y = 0;
+  int window_width = 0;
+  int window_height = 0;
+
+  /* Offset into and width/height of the full buffer. */
+  int full_x = 0;
+  int full_y = 0;
+  int full_width = 0;
+  int full_height = 0;
+
+  /* Runtime fields, only valid after `update_passes()` or `update_offset_stride()`. */
+  int offset = -1, stride = -1;
+
+  /* Runtime fields, only valid after `update_passes()`. */
+  int pass_stride = -1;
+
+  /* Properties which are used for accessing buffer pixels outside of scene graph. */
+  vector<BufferPass> passes;
+  ustring layer;
+  ustring view;
+  int samples = 0;
+  float exposure = 1.0f;
+  bool use_approximate_shadow_catcher = false;
+  bool use_transparent_background = false;
+
+  BufferParams();
+
+  BufferParams(BufferParams &&other) noexcept = default;
+  BufferParams(const BufferParams &other) = default;
+
+  BufferParams &operator=(BufferParams &&other) = default;
+  BufferParams &operator=(const BufferParams &other) = default;
+
+  ~BufferParams() = default;
+
+  /* Pre-calculate all fields which depends on the passes.
+   *
+   * When the scene passes are given, the buffer passes will be created from them and stored in
+   * this params, and then params are updated for those passes.
+   * The `update_passes()` without parameters updates offsets and strides which are stored outside
+   * of the passes. */
+  void update_passes();
+  void update_passes(const vector<Pass *> &scene_passes);
+
+  /* Returns PASS_UNUSED if there is no such pass in the buffer. */
+  int get_pass_offset(PassType type, PassMode mode = PassMode::NOISY) const;
+
+  /* Returns nullptr if pass with given name does not exist. */
+  const BufferPass *find_pass(string_view name) const;
+  const BufferPass *find_pass(PassType type, PassMode mode = PassMode::NOISY) const;
+
+  /* Get display pass from its name.
+   * Will do special logic to replace combined pass with shadow catcher matte. */
+  const BufferPass *get_actual_display_pass(PassType type, PassMode mode = PassMode::NOISY) const;
+  const BufferPass *get_actual_display_pass(const BufferPass *pass) const;
+
+  void update_offset_stride();
+
+  bool modified(const BufferParams &other) const;
+
+ protected:
+  void reset_pass_offset();
+
+  /* Multiplied by 2 to be able to store noisy and denoised pass types. */
+  static constexpr int kNumPassOffsets = PASS_NUM * 2;
+
+  /* Indexed by an index derived from pass type and mode, indicates offset of the corresponding
+   * pass in the buffer.
+   * If there are multiple passes with same type and mode contains lowest offset of all of them. */
+  int pass_offset_[kNumPassOffsets];
+};
+
+/* Render Buffers */
+
+class RenderBuffers {
+ public:
+  /* buffer parameters */
+  BufferParams params;
+
+  /* float buffer */
+  device_vector<float> buffer;
+
+  explicit RenderBuffers(Device *device);
+  ~RenderBuffers();
+
+  void reset(const BufferParams &params);
+  void zero();
+
+  bool copy_from_device();
+  void copy_to_device();
+};
+
+/* Copy denoised passes form source to destination.
+ *
+ * Buffer parameters are provided explicitly, allowing to copy pixels between render buffers which
+ * content corresponds to a render result at a non-unit resolution divider.
+ *
+ * `src_offset` allows to offset source pixel index which is used when a fraction of the source
+ * buffer is to be copied.
+ *
+ * Copy happens of the number of pixels in the destination. */
+void render_buffers_host_copy_denoised(RenderBuffers *dst,
+                                       const BufferParams &dst_params,
+                                       const RenderBuffers *src,
+                                       const BufferParams &src_params,
+                                       const size_t src_offset = 0);
+
+CCL_NAMESPACE_END
+
+#endif /* __BUFFERS_H__ */
diff --git a/intern/cycles/session/denoising.cpp b/intern/cycles/session/denoising.cpp
new file mode 100644
index 00000000000..21df068092a
--- /dev/null
+++ b/intern/cycles/session/denoising.cpp
@@ -0,0 +1,934 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "session/denoising.h"
+
+#if 0
+
+#  include "kernel/filter/filter_defines.h"
+
+#  include "util/util_foreach.h"
+#  include "util/util_map.h"
+#  include "util/util_system.h"
+#  include "util/util_task.h"
+#  include "util/util_time.h"
+
+#  include <OpenImageIO/filesystem.h>
+
+CCL_NAMESPACE_BEGIN
+
+/* Utility Functions */
+
+static void print_progress(int num, int total, int frame, int num_frames)
+{
+  const char *label = "Denoise Frame ";
+  int cols = system_console_width();
+
+  cols -= strlen(label);
+
+  int len = 1;
+  for (int x = total; x > 9; x /= 10) {
+    len++;
+  }
+
+  int bars = cols - 2 * len - 6;
+
+  printf("\r%s", label);
+
+  if (num_frames > 1) {
+    int frame_len = 1;
+    for (int x = num_frames - 1; x > 9; x /= 10) {
+      frame_len++;
+    }
+    bars -= frame_len + 2;
+    printf("%*d ", frame_len, frame);
+  }
+
+  int v = int(float(num) * bars / total);
+  printf("[");
+  for (int i = 0; i < v; i++) {
+    printf("=");
+  }
+  if (v < bars) {
+    printf(">");
+  }
+  for (int i = v + 1; i < bars; i++) {
+    printf(" ");
+  }
+  printf(string_printf("] %%%dd / %d", len, total).c_str(), num);
+  fflush(stdout);
+}
+
+/* Splits in at its last dot, setting suffix to the part after the dot and in to the part before
+ * it. Returns whether a dot was found. */
+static bool split_last_dot(string &in, string &suffix)
+{
+  size_t pos = in.rfind(".");
+  if (pos == string::npos) {
+    return false;
+  }
+  suffix = in.substr(pos + 1);
+  in = in.substr(0, pos);
+  return true;
+}
+
+/* Separate channel names as generated by Blender.
+ * If views is true:
+ *   Inputs are expected in the form RenderLayer.Pass.View.Channel, sets renderlayer to
+ *   "RenderLayer.View" Otherwise: Inputs are expected in the form RenderLayer.Pass.Channel */
+static bool parse_channel_name(
+    string name, string &renderlayer, string &pass, string &channel, bool multiview_channels)
+{
+  if (!split_last_dot(name, channel)) {
+    return false;
+  }
+  string view;
+  if (multiview_channels && !split_last_dot(name, view)) {
+    return false;
+  }
+  if (!split_last_dot(name, pass)) {
+    return false;
+  }
+  renderlayer = name;
+
+  if (multiview_channels) {
+    renderlayer += "." + view;
+  }
+
+  return true;
+}
+
+/* Channel Mapping */
+
+struct ChannelMapping {
+  int channel;
+  string name;
+};
+
+static void fill_mapping(vector<ChannelMapping> &map, int pos, string name, string channels)
+{
+  for (const char *chan = channels.c_str(); *chan; chan++) {
+    map.push_back({pos++, name + "." + *chan});
+  }
+}
+
+static const int INPUT_NUM_CHANNELS = 15;
+static const int INPUT_DENOISING_DEPTH = 0;
+static const int INPUT_DENOISING_NORMAL = 1;
+static const int INPUT_DENOISING_SHADOWING = 4;
+static const int INPUT_DENOISING_ALBEDO = 5;
+static const int INPUT_NOISY_IMAGE = 8;
+static const int INPUT_DENOISING_VARIANCE = 11;
+static const int INPUT_DENOISING_INTENSITY = 14;
+static vector<ChannelMapping> input_channels()
+{
+  vector<ChannelMapping> map;
+  fill_mapping(map, INPUT_DENOISING_DEPTH, "Denoising Depth", "Z");
+  fill_mapping(map, INPUT_DENOISING_NORMAL, "Denoising Normal", "XYZ");
+  fill_mapping(map, INPUT_DENOISING_SHADOWING, "Denoising Shadowing", "X");
+  fill_mapping(map, INPUT_DENOISING_ALBEDO, "Denoising Albedo", "RGB");
+  fill_mapping(map, INPUT_NOISY_IMAGE, "Noisy Image", "RGB");
+  fill_mapping(map, INPUT_DENOISING_VARIANCE, "Denoising Variance", "RGB");
+  fill_mapping(map, INPUT_DENOISING_INTENSITY, "Denoising Intensity", "X");
+  return map;
+}
+
+static const int OUTPUT_NUM_CHANNELS = 3;
+static vector<ChannelMapping> output_channels()
+{
+  vector<ChannelMapping> map;
+  fill_mapping(map, 0, "Combined", "RGB");
+  return map;
+}
+
+/* Renderlayer Handling */
+
+bool DenoiseImageLayer::detect_denoising_channels()
+{
+  /* Map device input to image channels. */
+  input_to_image_channel.clear();
+  input_to_image_channel.resize(INPUT_NUM_CHANNELS, -1);
+
+  foreach (const ChannelMapping &mapping, input_channels()) {
+    vector<string>::iterator i = find(channels.begin(), channels.end(), mapping.name);
+    if (i == channels.end()) {
+      return false;
+    }
+
+    size_t input_channel = mapping.channel;
+    size_t layer_channel = i - channels.begin();
+    input_to_image_channel[input_channel] = layer_to_image_channel[layer_channel];
+  }
+
+  /* Map device output to image channels. */
+  output_to_image_channel.clear();
+  output_to_image_channel.resize(OUTPUT_NUM_CHANNELS, -1);
+
+  foreach (const ChannelMapping &mapping, output_channels()) {
+    vector<string>::iterator i = find(channels.begin(), channels.end(), mapping.name);
+    if (i == channels.end()) {
+      return false;
+    }
+
+    size_t output_channel = mapping.channel;
+    size_t layer_channel = i - channels.begin();
+    output_to_image_channel[output_channel] = layer_to_image_channel[layer_channel];
+  }
+
+  /* Check that all buffer channels are correctly set. */
+  for (int i = 0; i < INPUT_NUM_CHANNELS; i++) {
+    assert(input_to_image_channel[i] >= 0);
+  }
+  for (int i = 0; i < OUTPUT_NUM_CHANNELS; i++) {
+    assert(output_to_image_channel[i] >= 0);
+  }
+
+  return true;
+}
+
+bool DenoiseImageLayer::match_channels(int neighbor,
+                                       const std::vector<string> &channelnames,
+                                       const std::vector<string> &neighbor_channelnames)
+{
+  neighbor_input_to_image_channel.resize(neighbor + 1);
+  vector<int> &mapping = neighbor_input_to_image_channel[neighbor];
+
+  assert(mapping.size() == 0);
+  mapping.resize(input_to_image_channel.size(), -1);
+
+  for (int i = 0; i < input_to_image_channel.size(); i++) {
+    const string &channel = channelnames[input_to_image_channel[i]];
+    std::vector<string>::const_iterator frame_channel = find(
+        neighbor_channelnames.begin(), neighbor_channelnames.end(), channel);
+
+    if (frame_channel == neighbor_channelnames.end()) {
+      return false;
+    }
+
+    mapping[i] = frame_channel - neighbor_channelnames.begin();
+  }
+
+  return true;
+}
+
+/* Denoise Task */
+
+DenoiseTask::DenoiseTask(Device *device,
+                         DenoiserPipeline *denoiser,
+                         int frame,
+                         const vector<int> &neighbor_frames)
+    : denoiser(denoiser),
+      device(device),
+      frame(frame),
+      neighbor_frames(neighbor_frames),
+      current_layer(0),
+      input_pixels(device, "filter input buffer", MEM_READ_ONLY),
+      num_tiles(0)
+{
+  image.samples = denoiser->samples_override;
+}
+
+DenoiseTask::~DenoiseTask()
+{
+  free();
+}
+
+/* Device callbacks */
+
+bool DenoiseTask::acquire_tile(Device *device, Device *tile_device, RenderTile &tile)
+{
+  thread_scoped_lock tile_lock(tiles_mutex);
+
+  if (tiles.empty()) {
+    return false;
+  }
+
+  tile = tiles.front();
+  tiles.pop_front();
+
+  device->map_tile(tile_device, tile);
+
+  print_progress(num_tiles - tiles.size(), num_tiles, frame, denoiser->num_frames);
+
+  return true;
+}
+
+/* Mapping tiles is required for regular rendering since each tile has its separate memory
+ * which may be allocated on a different device.
+ * For standalone denoising, there is a single memory that is present on all devices, so the only
+ * thing that needs to be done here is to specify the surrounding tile geometry.
+ *
+ * However, since there is only one large memory, the denoised result has to be written to
+ * a different buffer to avoid having to copy an entire horizontal slice of the image. */
+void DenoiseTask::map_neighboring_tiles(RenderTileNeighbors &neighbors, Device *tile_device)
+{
+  RenderTile &center_tile = neighbors.tiles[RenderTileNeighbors::CENTER];
+  RenderTile &target_tile = neighbors.target;
+
+  /* Fill tile information. */
+  for (int i = 0; i < RenderTileNeighbors::SIZE; i++) {
+    if (i == RenderTileNeighbors::CENTER) {
+      continue;
+    }
+
+    RenderTile &tile = neighbors.tiles[i];
+    int dx = (i % 3) - 1;
+    int dy = (i / 3) - 1;
+    tile.x = clamp(center_tile.x + dx * denoiser->tile_size.x, 0, image.width);
+    tile.w = clamp(center_tile.x + (dx + 1) * denoiser->tile_size.x, 0, image.width) - tile.x;
+    tile.y = clamp(center_tile.y + dy * denoiser->tile_size.y, 0, image.height);
+    tile.h = clamp(center_tile.y + (dy + 1) * denoiser->tile_size.y, 0, image.height) - tile.y;
+
+    tile.buffer = center_tile.buffer;
+    tile.offset = center_tile.offset;
+    tile.stride = image.width;
+  }
+
+  /* Allocate output buffer. */
+  device_vector<float> *output_mem = new device_vector<float>(
+      tile_device, "denoising_output", MEM_READ_WRITE);
+  output_mem->alloc(OUTPUT_NUM_CHANNELS * center_tile.w * center_tile.h);
+
+  /* Fill output buffer with noisy image, assumed by kernel_filter_finalize
+   * when skipping denoising of some pixels. */
+  float *result = output_mem->data();
+  float *in = &image.pixels[image.num_channels * (center_tile.y * image.width + center_tile.x)];
+
+  const DenoiseImageLayer &layer = image.layers[current_layer];
+  const int *input_to_image_channel = layer.input_to_image_channel.data();
+
+  for (int y = 0; y < center_tile.h; y++) {
+    for (int x = 0; x < center_tile.w; x++, result += OUTPUT_NUM_CHANNELS) {
+      for (int i = 0; i < OUTPUT_NUM_CHANNELS; i++) {
+        result[i] = in[image.num_channels * x + input_to_image_channel[INPUT_NOISY_IMAGE + i]];
+      }
+    }
+    in += image.num_channels * image.width;
+  }
+
+  output_mem->copy_to_device();
+
+  /* Fill output tile info. */
+  target_tile = center_tile;
+  target_tile.buffer = output_mem->device_pointer;
+  target_tile.stride = target_tile.w;
+  target_tile.offset -= target_tile.x + target_tile.y * target_tile.stride;
+
+  thread_scoped_lock output_lock(output_mutex);
+  assert(output_pixels.count(center_tile.tile_index) == 0);
+  output_pixels[target_tile.tile_index] = output_mem;
+}
+
+void DenoiseTask::unmap_neighboring_tiles(RenderTileNeighbors &neighbors)
+{
+  RenderTile &center_tile = neighbors.tiles[RenderTileNeighbors::CENTER];
+  RenderTile &target_tile = neighbors.target;
+
+  thread_scoped_lock output_lock(output_mutex);
+  assert(output_pixels.count(center_tile.tile_index) == 1);
+  device_vector<float> *output_mem = output_pixels[target_tile.tile_index];
+  output_pixels.erase(center_tile.tile_index);
+  output_lock.unlock();
+
+  /* Copy denoised pixels from device. */
+  output_mem->copy_from_device(0, OUTPUT_NUM_CHANNELS * target_tile.w, target_tile.h);
+
+  float *result = output_mem->data();
+  float *out = &image.pixels[image.num_channels * (target_tile.y * image.width + target_tile.x)];
+
+  const DenoiseImageLayer &layer = image.layers[current_layer];
+  const int *output_to_image_channel = layer.output_to_image_channel.data();
+
+  for (int y = 0; y < target_tile.h; y++) {
+    for (int x = 0; x < target_tile.w; x++, result += OUTPUT_NUM_CHANNELS) {
+      for (int i = 0; i < OUTPUT_NUM_CHANNELS; i++) {
+        out[image.num_channels * x + output_to_image_channel[i]] = result[i];
+      }
+    }
+    out += image.num_channels * image.width;
+  }
+
+  /* Free device buffer. */
+  output_mem->free();
+  delete output_mem;
+}
+
+void DenoiseTask::release_tile()
+{
+}
+
+bool DenoiseTask::get_cancel()
+{
+  return false;
+}
+
+void DenoiseTask::create_task(DeviceTask &task)
+{
+  /* Callback functions. */
+  task.acquire_tile = function_bind(&DenoiseTask::acquire_tile, this, device, _1, _2);
+  task.map_neighbor_tiles = function_bind(&DenoiseTask::map_neighboring_tiles, this, _1, _2);
+  task.unmap_neighbor_tiles = function_bind(&DenoiseTask::unmap_neighboring_tiles, this, _1);
+  task.release_tile = function_bind(&DenoiseTask::release_tile, this);
+  task.get_cancel = function_bind(&DenoiseTask::get_cancel, this);
+
+  /* Denoising parameters. */
+  task.denoising = denoiser->params;
+  task.denoising.type = DENOISER_NLM;
+  task.denoising.use = true;
+  task.denoising_from_render = false;
+
+  task.denoising_frames.resize(neighbor_frames.size());
+  for (int i = 0; i < neighbor_frames.size(); i++) {
+    task.denoising_frames[i] = neighbor_frames[i] - frame;
+  }
+
+  /* Buffer parameters. */
+  task.pass_stride = INPUT_NUM_CHANNELS;
+  task.target_pass_stride = OUTPUT_NUM_CHANNELS;
+  task.pass_denoising_data = 0;
+  task.pass_denoising_clean = -1;
+  task.frame_stride = image.width * image.height * INPUT_NUM_CHANNELS;
+
+  /* Create tiles. */
+  thread_scoped_lock tile_lock(tiles_mutex);
+  thread_scoped_lock output_lock(output_mutex);
+
+  tiles.clear();
+  assert(output_pixels.empty());
+  output_pixels.clear();
+
+  int tiles_x = divide_up(image.width, denoiser->tile_size.x);
+  int tiles_y = divide_up(image.height, denoiser->tile_size.y);
+
+  for (int ty = 0; ty < tiles_y; ty++) {
+    for (int tx = 0; tx < tiles_x; tx++) {
+      RenderTile tile;
+      tile.x = tx * denoiser->tile_size.x;
+      tile.y = ty * denoiser->tile_size.y;
+      tile.w = min(image.width - tile.x, denoiser->tile_size.x);
+      tile.h = min(image.height - tile.y, denoiser->tile_size.y);
+      tile.start_sample = 0;
+      tile.num_samples = image.layers[current_layer].samples;
+      tile.sample = 0;
+      tile.offset = 0;
+      tile.stride = image.width;
+      tile.tile_index = ty * tiles_x + tx;
+      tile.task = RenderTile::DENOISE;
+      tile.buffers = NULL;
+      tile.buffer = input_pixels.device_pointer;
+      tiles.push_back(tile);
+    }
+  }
+
+  num_tiles = tiles.size();
+}
+
+/* Denoiser Operations */
+
+bool DenoiseTask::load_input_pixels(int layer)
+{
+  int w = image.width;
+  int h = image.height;
+  int num_pixels = image.width * image.height;
+  int frame_stride = num_pixels * INPUT_NUM_CHANNELS;
+
+  /* Load center image */
+  DenoiseImageLayer &image_layer = image.layers[layer];
+
+  float *buffer_data = input_pixels.data();
+  image.read_pixels(image_layer, buffer_data);
+  buffer_data += frame_stride;
+
+  /* Load neighbor images */
+  for (int i = 0; i < image.in_neighbors.size(); i++) {
+    if (!image.read_neighbor_pixels(i, image_layer, buffer_data)) {
+      error = "Failed to read neighbor frame pixels";
+      return false;
+    }
+    buffer_data += frame_stride;
+  }
+
+  /* Preprocess */
+  buffer_data = input_pixels.data();
+  for (int neighbor = 0; neighbor < image.in_neighbors.size() + 1; neighbor++) {
+    /* Clamp */
+    if (denoiser->params.clamp_input) {
+      for (int i = 0; i < num_pixels * INPUT_NUM_CHANNELS; i++) {
+        buffer_data[i] = clamp(buffer_data[i], -1e8f, 1e8f);
+      }
+    }
+
+    /* Box blur */
+    int r = 5 * denoiser->params.radius;
+    float *data = buffer_data + 14;
+    array<float> temp(num_pixels);
+
+    for (int y = 0; y < h; y++) {
+      for (int x = 0; x < w; x++) {
+        int n = 0;
+        float sum = 0.0f;
+        for (int dx = max(x - r, 0); dx < min(x + r + 1, w); dx++, n++) {
+          sum += data[INPUT_NUM_CHANNELS * (y * w + dx)];
+        }
+        temp[y * w + x] = sum / n;
+      }
+    }
+
+    for (int y = 0; y < h; y++) {
+      for (int x = 0; x < w; x++) {
+        int n = 0;
+        float sum = 0.0f;
+
+        for (int dy = max(y - r, 0); dy < min(y + r + 1, h); dy++, n++) {
+          sum += temp[dy * w + x];
+        }
+
+        data[INPUT_NUM_CHANNELS * (y * w + x)] = sum / n;
+      }
+    }
+
+    /* Highlight compression */
+    data = buffer_data + 8;
+    for (int y = 0; y < h; y++) {
+      for (int x = 0; x < w; x++) {
+        int idx = INPUT_NUM_CHANNELS * (y * w + x);
+        float3 color = make_float3(data[idx], data[idx + 1], data[idx + 2]);
+        color = color_highlight_compress(color, NULL);
+        data[idx] = color.x;
+        data[idx + 1] = color.y;
+        data[idx + 2] = color.z;
+      }
+    }
+
+    buffer_data += frame_stride;
+  }
+
+  /* Copy to device */
+  input_pixels.copy_to_device();
+
+  return true;
+}
+
+/* Task stages */
+
+bool DenoiseTask::load()
+{
+  string center_filepath = denoiser->input[frame];
+  if (!image.load(center_filepath, error)) {
+    return false;
+  }
+
+  if (!image.load_neighbors(denoiser->input, neighbor_frames, error)) {
+    return false;
+  }
+
+  if (image.layers.empty()) {
+    error = "No image layers found to denoise in " + center_filepath;
+    return false;
+  }
+
+  /* Allocate device buffer. */
+  int num_frames = image.in_neighbors.size() + 1;
+  input_pixels.alloc(image.width * INPUT_NUM_CHANNELS, image.height * num_frames);
+  input_pixels.zero_to_device();
+
+  /* Read pixels for first layer. */
+  current_layer = 0;
+  if (!load_input_pixels(current_layer)) {
+    return false;
+  }
+
+  return true;
+}
+
+bool DenoiseTask::exec()
+{
+  for (current_layer = 0; current_layer < image.layers.size(); current_layer++) {
+    /* Read pixels for secondary layers, first was already loaded. */
+    if (current_layer > 0) {
+      if (!load_input_pixels(current_layer)) {
+        return false;
+      }
+    }
+
+    /* Run task on device. */
+    DeviceTask task(DeviceTask::RENDER);
+    create_task(task);
+    device->task_add(task);
+    device->task_wait();
+
+    printf("\n");
+  }
+
+  return true;
+}
+
+bool DenoiseTask::save()
+{
+  bool ok = image.save_output(denoiser->output[frame], error);
+  free();
+  return ok;
+}
+
+void DenoiseTask::free()
+{
+  image.free();
+  input_pixels.free();
+  assert(output_pixels.empty());
+}
+
+/* Denoise Image Storage */
+
+DenoiseImage::DenoiseImage()
+{
+  width = 0;
+  height = 0;
+  num_channels = 0;
+  samples = 0;
+}
+
+DenoiseImage::~DenoiseImage()
+{
+  free();
+}
+
+void DenoiseImage::close_input()
+{
+  in_neighbors.clear();
+}
+
+void DenoiseImage::free()
+{
+  close_input();
+  pixels.clear();
+}
+
+bool DenoiseImage::parse_channels(const ImageSpec &in_spec, string &error)
+{
+  const std::vector<string> &channels = in_spec.channelnames;
+  const ParamValue *multiview = in_spec.find_attribute("multiView");
+  const bool multiview_channels = (multiview && multiview->type().basetype == TypeDesc::STRING &&
+                                   multiview->type().arraylen >= 2);
+
+  layers.clear();
+
+  /* Loop over all the channels in the file, parse their name and sort them
+   * by RenderLayer.
+   * Channels that can't be parsed are directly passed through to the output. */
+  map<string, DenoiseImageLayer> file_layers;
+  for (int i = 0; i < channels.size(); i++) {
+    string layer, pass, channel;
+    if (parse_channel_name(channels[i], layer, pass, channel, multiview_channels)) {
+      file_layers[layer].channels.push_back(pass + "." + channel);
+      file_layers[layer].layer_to_image_channel.push_back(i);
+    }
+  }
+
+  /* Loop over all detected RenderLayers, check whether they contain a full set of input channels.
+   * Any channels that won't be processed internally are also passed through. */
+  for (map<string, DenoiseImageLayer>::iterator i = file_layers.begin(); i != file_layers.end();
+       ++i) {
+    const string &name = i->first;
+    DenoiseImageLayer &layer = i->second;
+
+    /* Check for full pass set. */
+    if (!layer.detect_denoising_channels()) {
+      continue;
+    }
+
+    layer.name = name;
+    layer.samples = samples;
+
+    /* If the sample value isn't set yet, check if there is a layer-specific one in the input file.
+     */
+    if (layer.samples < 1) {
+      string sample_string = in_spec.get_string_attribute("cycles." + name + ".samples", "");
+      if (sample_string != "") {
+        if (!sscanf(sample_string.c_str(), "%d", &layer.samples)) {
+          error = "Failed to parse samples metadata: " + sample_string;
+          return false;
+        }
+      }
+    }
+
+    if (layer.samples < 1) {
+      error = string_printf(
+          "No sample number specified in the file for layer %s or on the command line",
+          name.c_str());
+      return false;
+    }
+
+    layers.push_back(layer);
+  }
+
+  return true;
+}
+
+void DenoiseImage::read_pixels(const DenoiseImageLayer &layer, float *input_pixels)
+{
+  /* Pixels from center file have already been loaded into pixels.
+   * We copy a subset into the device input buffer with channels reshuffled. */
+  const int *input_to_image_channel = layer.input_to_image_channel.data();
+
+  for (int i = 0; i < width * height; i++) {
+    for (int j = 0; j < INPUT_NUM_CHANNELS; j++) {
+      int image_channel = input_to_image_channel[j];
+      input_pixels[i * INPUT_NUM_CHANNELS + j] =
+          pixels[((size_t)i) * num_channels + image_channel];
+    }
+  }
+}
+
+bool DenoiseImage::read_neighbor_pixels(int neighbor,
+                                        const DenoiseImageLayer &layer,
+                                        float *input_pixels)
+{
+  /* Load pixels from neighboring frames, and copy them into device buffer
+   * with channels reshuffled. */
+  size_t num_pixels = (size_t)width * (size_t)height;
+  array<float> neighbor_pixels(num_pixels * num_channels);
+  if (!in_neighbors[neighbor]->read_image(TypeDesc::FLOAT, neighbor_pixels.data())) {
+    return false;
+  }
+
+  const int *input_to_image_channel = layer.neighbor_input_to_image_channel[neighbor].data();
+
+  for (int i = 0; i < width * height; i++) {
+    for (int j = 0; j < INPUT_NUM_CHANNELS; j++) {
+      int image_channel = input_to_image_channel[j];
+      input_pixels[i * INPUT_NUM_CHANNELS + j] =
+          neighbor_pixels[((size_t)i) * num_channels + image_channel];
+    }
+  }
+
+  return true;
+}
+
+bool DenoiseImage::load(const string &in_filepath, string &error)
+{
+  if (!Filesystem::is_regular(in_filepath)) {
+    error = "Couldn't find file: " + in_filepath;
+    return false;
+  }
+
+  unique_ptr<ImageInput> in(ImageInput::open(in_filepath));
+  if (!in) {
+    error = "Couldn't open file: " + in_filepath;
+    return false;
+  }
+
+  in_spec = in->spec();
+  width = in_spec.width;
+  height = in_spec.height;
+  num_channels = in_spec.nchannels;
+
+  if (!parse_channels(in_spec, error)) {
+    return false;
+  }
+
+  if (layers.size() == 0) {
+    error = "Could not find a render layer containing denoising info";
+    return false;
+  }
+
+  size_t num_pixels = (size_t)width * (size_t)height;
+  pixels.resize(num_pixels * num_channels);
+
+  /* Read all channels into buffer. Reading all channels at once is faster
+   * than individually due to interleaved EXR channel storage. */
+  if (!in->read_image(TypeDesc::FLOAT, pixels.data())) {
+    error = "Failed to read image: " + in_filepath;
+    return false;
+  }
+
+  return true;
+}
+
+bool DenoiseImage::load_neighbors(const vector<string> &filepaths,
+                                  const vector<int> &frames,
+                                  string &error)
+{
+  if (frames.size() > DENOISE_MAX_FRAMES - 1) {
+    error = string_printf("Maximum number of neighbors (%d) exceeded\n", DENOISE_MAX_FRAMES - 1);
+    return false;
+  }
+
+  for (int neighbor = 0; neighbor < frames.size(); neighbor++) {
+    int frame = frames[neighbor];
+    const string &filepath = filepaths[frame];
+
+    if (!Filesystem::is_regular(filepath)) {
+      error = "Couldn't find neighbor frame: " + filepath;
+      return false;
+    }
+
+    unique_ptr<ImageInput> in_neighbor(ImageInput::open(filepath));
+    if (!in_neighbor) {
+      error = "Couldn't open neighbor frame: " + filepath;
+      return false;
+    }
+
+    const ImageSpec &neighbor_spec = in_neighbor->spec();
+    if (neighbor_spec.width != width || neighbor_spec.height != height) {
+      error = "Neighbor frame has different dimensions: " + filepath;
+      return false;
+    }
+
+    foreach (DenoiseImageLayer &layer, layers) {
+      if (!layer.match_channels(neighbor, in_spec.channelnames, neighbor_spec.channelnames)) {
+        error = "Neighbor frame misses denoising data passes: " + filepath;
+        return false;
+      }
+    }
+
+    in_neighbors.push_back(std::move(in_neighbor));
+  }
+
+  return true;
+}
+
+bool DenoiseImage::save_output(const string &out_filepath, string &error)
+{
+  /* Save image with identical dimensions, channels and metadata. */
+  ImageSpec out_spec = in_spec;
+
+  /* Ensure that the output frame contains sample information even if the input didn't. */
+  for (int i = 0; i < layers.size(); i++) {
+    string name = "cycles." + layers[i].name + ".samples";
+    if (!out_spec.find_attribute(name, TypeDesc::STRING)) {
+      out_spec.attribute(name, TypeDesc::STRING, string_printf("%d", layers[i].samples));
+    }
+  }
+
+  /* We don't need input anymore at this point, and will possibly
+   * overwrite the same file. */
+  close_input();
+
+  /* Write to temporary file path, so we denoise images in place and don't
+   * risk destroying files when something goes wrong in file saving. */
+  string extension = OIIO::Filesystem::extension(out_filepath);
+  string unique_name = ".denoise-tmp-" + OIIO::Filesystem::unique_path();
+  string tmp_filepath = out_filepath + unique_name + extension;
+  unique_ptr<ImageOutput> out(ImageOutput::create(tmp_filepath));
+
+  if (!out) {
+    error = "Failed to open temporary file " + tmp_filepath + " for writing";
+    return false;
+  }
+
+  /* Open temporary file and write image buffers. */
+  if (!out->open(tmp_filepath, out_spec)) {
+    error = "Failed to open file " + tmp_filepath + " for writing: " + out->geterror();
+    return false;
+  }
+
+  bool ok = true;
+  if (!out->write_image(TypeDesc::FLOAT, pixels.data())) {
+    error = "Failed to write to file " + tmp_filepath + ": " + out->geterror();
+    ok = false;
+  }
+
+  if (!out->close()) {
+    error = "Failed to save to file " + tmp_filepath + ": " + out->geterror();
+    ok = false;
+  }
+
+  out.reset();
+
+  /* Copy temporary file to output filepath. */
+  string rename_error;
+  if (ok && !OIIO::Filesystem::rename(tmp_filepath, out_filepath, rename_error)) {
+    error = "Failed to move denoised image to " + out_filepath + ": " + rename_error;
+    ok = false;
+  }
+
+  if (!ok) {
+    OIIO::Filesystem::remove(tmp_filepath);
+  }
+
+  return ok;
+}
+
+/* File pattern handling and outer loop over frames */
+
+DenoiserPipeline::DenoiserPipeline(DeviceInfo &device_info)
+{
+  samples_override = 0;
+  tile_size = make_int2(64, 64);
+
+  num_frames = 0;
+
+  /* Initialize task scheduler. */
+  TaskScheduler::init();
+
+  /* Initialize device. */
+  device = Device::create(device_info, stats, profiler, true);
+
+  device->load_kernels(KERNEL_FEATURE_DENOISING);
+}
+
+DenoiserPipeline::~DenoiserPipeline()
+{
+  delete device;
+  TaskScheduler::exit();
+}
+
+bool DenoiserPipeline::run()
+{
+  assert(input.size() == output.size());
+
+  num_frames = output.size();
+
+  for (int frame = 0; frame < num_frames; frame++) {
+    /* Skip empty output paths. */
+    if (output[frame].empty()) {
+      continue;
+    }
+
+    /* Determine neighbor frame numbers that should be used for filtering. */
+    vector<int> neighbor_frames;
+    for (int f = frame - params.neighbor_frames; f <= frame + params.neighbor_frames; f++) {
+      if (f >= 0 && f < num_frames && f != frame) {
+        neighbor_frames.push_back(f);
+      }
+    }
+
+    /* Execute task. */
+    DenoiseTask task(device, this, frame, neighbor_frames);
+    if (!task.load()) {
+      error = task.error;
+      return false;
+    }
+
+    if (!task.exec()) {
+      error = task.error;
+      return false;
+    }
+
+    if (!task.save()) {
+      error = task.error;
+      return false;
+    }
+
+    task.free();
+  }
+
+  return true;
+}
+
+CCL_NAMESPACE_END
+
+#endif
diff --git a/intern/cycles/session/denoising.h b/intern/cycles/session/denoising.h
new file mode 100644
index 00000000000..097cc570d06
--- /dev/null
+++ b/intern/cycles/session/denoising.h
@@ -0,0 +1,216 @@
+/*
+ * Copyright 2011-2018 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __DENOISING_H__
+#define __DENOISING_H__
+
+#if 0
+
+/* TODO(sergey): Make it explicit and clear when something is a denoiser, its pipeline or
+ * parameters. Currently it is an annoying mixture of terms used interchangeably. */
+
+#  include "device/device.h"
+
+#  include "render/buffers.h"
+
+#  include "util/util_string.h"
+#  include "util/util_unique_ptr.h"
+#  include "util/util_vector.h"
+
+#  include <OpenImageIO/imageio.h>
+
+OIIO_NAMESPACE_USING
+
+CCL_NAMESPACE_BEGIN
+
+/* Denoiser pipeline */
+
+class DenoiserPipeline {
+ public:
+  DenoiserPipeline(DeviceInfo &device_info);
+  ~DenoiserPipeline();
+
+  bool run();
+
+  /* Error message after running, in case of failure. */
+  string error;
+
+  /* Sequential list of frame filepaths to denoise. */
+  vector<string> input;
+  /* Sequential list of frame filepaths to write result to. Empty entries
+   * are skipped, so only a subset of the sequence can be denoised while
+   * taking into account all input frames. */
+  vector<string> output;
+
+  /* Sample number override, takes precedence over values from input frames. */
+  int samples_override;
+  /* Tile size for processing on device. */
+  int2 tile_size;
+
+  /* Equivalent to the settings in the regular denoiser. */
+  DenoiseParams params;
+
+ protected:
+  friend class DenoiseTask;
+
+  Stats stats;
+  Profiler profiler;
+  Device *device;
+
+  int num_frames;
+};
+
+/* Denoise Image Layer */
+
+struct DenoiseImageLayer {
+  string name;
+  /* All channels belonging to this DenoiseImageLayer. */
+  vector<string> channels;
+  /* Layer to image channel mapping. */
+  vector<int> layer_to_image_channel;
+
+  /* Sample amount that was used for rendering this layer. */
+  int samples;
+
+  /* Device input channel will be copied from image channel input_to_image_channel[i]. */
+  vector<int> input_to_image_channel;
+
+  /* input_to_image_channel of the secondary frames, if any are used. */
+  vector<vector<int>> neighbor_input_to_image_channel;
+
+  /* Write i-th channel of the processing output to output_to_image_channel[i]-th channel of the
+   * file. */
+  vector<int> output_to_image_channel;
+
+  /* Detect whether this layer contains a full set of channels and set up the offsets accordingly.
+   */
+  bool detect_denoising_channels();
+
+  /* Map the channels of a secondary frame to the channels that are required for processing,
+   * fill neighbor_input_to_image_channel if all are present or return false if a channel are
+   * missing. */
+  bool match_channels(int neighbor,
+                      const std::vector<string> &channelnames,
+                      const std::vector<string> &neighbor_channelnames);
+};
+
+/* Denoise Image Data */
+
+class DenoiseImage {
+ public:
+  DenoiseImage();
+  ~DenoiseImage();
+
+  /* Dimensions */
+  int width, height, num_channels;
+
+  /* Samples */
+  int samples;
+
+  /* Pixel buffer with interleaved channels. */
+  array<float> pixels;
+
+  /* Image file handles */
+  ImageSpec in_spec;
+  vector<unique_ptr<ImageInput>> in_neighbors;
+
+  /* Render layers */
+  vector<DenoiseImageLayer> layers;
+
+  void free();
+
+  /* Open the input image, parse its channels, open the output image and allocate the output
+   * buffer. */
+  bool load(const string &in_filepath, string &error);
+
+  /* Load neighboring frames. */
+  bool load_neighbors(const vector<string> &filepaths, const vector<int> &frames, string &error);
+
+  /* Load subset of pixels from file buffer into input buffer, as needed for denoising
+   * on the device. Channels are reshuffled following the provided mapping. */
+  void read_pixels(const DenoiseImageLayer &layer, float *input_pixels);
+  bool read_neighbor_pixels(int neighbor, const DenoiseImageLayer &layer, float *input_pixels);
+
+  bool save_output(const string &out_filepath, string &error);
+
+ protected:
+  /* Parse input file channels, separate them into DenoiseImageLayers,
+   * detect DenoiseImageLayers with full channel sets,
+   * fill layers and set up the output channels and passthrough map. */
+  bool parse_channels(const ImageSpec &in_spec, string &error);
+
+  void close_input();
+};
+
+/* Denoise Task */
+
+class DenoiseTask {
+ public:
+  DenoiseTask(Device *device,
+              DenoiserPipeline *denoiser,
+              int frame,
+              const vector<int> &neighbor_frames);
+  ~DenoiseTask();
+
+  /* Task stages */
+  bool load();
+  bool exec();
+  bool save();
+  void free();
+
+  string error;
+
+ protected:
+  /* Denoiser parameters and device */
+  DenoiserPipeline *denoiser;
+  Device *device;
+
+  /* Frame number to be denoised */
+  int frame;
+  vector<int> neighbor_frames;
+
+  /* Image file data */
+  DenoiseImage image;
+  int current_layer;
+
+  /* Device input buffer */
+  device_vector<float> input_pixels;
+
+  /* Tiles */
+  thread_mutex tiles_mutex;
+  list<RenderTile> tiles;
+  int num_tiles;
+
+  thread_mutex output_mutex;
+  map<int, device_vector<float> *> output_pixels;
+
+  /* Task handling */
+  bool load_input_pixels(int layer);
+  void create_task(DeviceTask &task);
+
+  /* Device task callbacks */
+  bool acquire_tile(Device *device, Device *tile_device, RenderTile &tile);
+  void map_neighboring_tiles(RenderTileNeighbors &neighbors, Device *tile_device);
+  void unmap_neighboring_tiles(RenderTileNeighbors &neighbors);
+  void release_tile();
+  bool get_cancel();
+};
+
+CCL_NAMESPACE_END
+
+#endif
+
+#endif /* __DENOISING_H__ */
diff --git a/intern/cycles/session/display_driver.h b/intern/cycles/session/display_driver.h
new file mode 100644
index 00000000000..85f305034d7
--- /dev/null
+++ b/intern/cycles/session/display_driver.h
@@ -0,0 +1,131 @@
+/*
+ * Copyright 2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "util/util_half.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Display driver for efficient interactive display of renders.
+ *
+ * Host applications implement this interface for viewport rendering. For best performance, we
+ * recommend:
+ * - Allocating a texture on the GPU to be interactively updated
+ * - Using the graphics interop mechanism to avoid CPU-GPU copying overhead
+ * - Using a dedicated or thread-safe graphics API context for updates, to avoid
+ *   blocking the host application.
+ */
+class DisplayDriver {
+ public:
+  DisplayDriver() = default;
+  virtual ~DisplayDriver() = default;
+
+  /* Render buffer parameters. */
+  struct Params {
+   public:
+    /* Render resolution, ignoring progressive resolution changes.
+     * The texture buffer should be allocated with this size. */
+    int2 size = make_int2(0, 0);
+
+    /* For border rendering, the full resolution of the render, and the offset within that larger
+     * render. */
+    int2 full_size = make_int2(0, 0);
+    int2 full_offset = make_int2(0, 0);
+
+    bool modified(const Params &other) const
+    {
+      return !(full_offset == other.full_offset && full_size == other.full_size &&
+               size == other.size);
+    }
+  };
+
+  /* Update the render from the rendering thread.
+   *
+   * Cycles periodically updates the render to be displayed. For multithreaded updates with
+   * potentially multiple rendering devices, it will call these methods as follows.
+   *
+   * if (driver.update_begin(params, width, height)) {
+   *     parallel_for_each(rendering_device) {
+   *         buffer = driver.map_texture_buffer();
+   *         if (buffer) {
+   *             fill(buffer);
+   *             driver.unmap_texture_buffer();
+   *         }
+   *     }
+   *     driver.update_end();
+   * }
+   *
+   * The parameters may dynamically change due to camera changes in the scene, and resources should
+   * be re-allocated accordingly.
+   *
+   * The width and height passed to update_begin() are the effective render resolution taking into
+   * account progressive resolution changes, which may be equal to or smaller than the params.size.
+   * For efficiency, changes in this resolution should be handled without re-allocating resources,
+   * but rather by using a subset of the full resolution buffer. */
+  virtual bool update_begin(const Params &params, int width, int height) = 0;
+  virtual void update_end() = 0;
+
+  virtual half4 *map_texture_buffer() = 0;
+  virtual void unmap_texture_buffer() = 0;
+
+  /* Optionally return a handle to a native graphics API texture buffer. If supported,
+   * the rendering device may write directly to this buffer instead of calling
+   * map_texture_buffer() and unmap_texture_buffer(). */
+  class GraphicsInterop {
+   public:
+    /* Dimensions of the buffer, in pixels. */
+    int buffer_width = 0;
+    int buffer_height = 0;
+
+    /* OpenGL pixel buffer object. */
+    int opengl_pbo_id = 0;
+
+    /* Clear the entire buffer before doing partial write to it. */
+    bool need_clear = false;
+  };
+
+  virtual GraphicsInterop graphics_interop_get()
+  {
+    return GraphicsInterop();
+  }
+
+  /* (De)activate graphics context required for editing or deleting the graphics interop
+   * object.
+   *
+   * For example, destruction of the CUDA object associated with an OpenGL requires the
+   * OpenGL context to be active. */
+  virtual void graphics_interop_activate(){};
+  virtual void graphics_interop_deactivate(){};
+
+  /* Clear the display buffer by filling it with zeros. */
+  virtual void clear() = 0;
+
+  /* Draw the render using the native graphics API.
+   *
+   * Note that this may be called in parallel to updates. The implementation is responsible for
+   * mutex locking or other mechanisms to avoid conflicts.
+   *
+   * The parameters may have changed since the last update. The implementation is responsible for
+   * deciding to skip or adjust render display for such changes.
+   *
+   * Host application drawing the render buffer should use Session.draw(), which will
+   * call this method. */
+  virtual void draw(const Params &params) = 0;
+};
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/session/merge.cpp b/intern/cycles/session/merge.cpp
new file mode 100644
index 00000000000..97e9c75d5f7
--- /dev/null
+++ b/intern/cycles/session/merge.cpp
@@ -0,0 +1,516 @@
+/*
+ * Copyright 2011-2019 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "session/merge.h"
+
+#include "util/util_array.h"
+#include "util/util_map.h"
+#include "util/util_system.h"
+#include "util/util_time.h"
+#include "util/util_unique_ptr.h"
+
+#include <OpenImageIO/filesystem.h>
+#include <OpenImageIO/imageio.h>
+
+OIIO_NAMESPACE_USING
+
+CCL_NAMESPACE_BEGIN
+
+/* Merge Image Layer */
+
+enum MergeChannelOp {
+  MERGE_CHANNEL_NOP,
+  MERGE_CHANNEL_COPY,
+  MERGE_CHANNEL_SUM,
+  MERGE_CHANNEL_AVERAGE
+};
+
+struct MergeImagePass {
+  /* Full channel name. */
+  string channel_name;
+  /* Channel format in the file. */
+  TypeDesc format;
+  /* Type of operation to perform when merging. */
+  MergeChannelOp op;
+  /* Offset of layer channels in input image. */
+  int offset;
+  /* Offset of layer channels in merged image. */
+  int merge_offset;
+};
+
+struct MergeImageLayer {
+  /* Layer name. */
+  string name;
+  /* Passes. */
+  vector<MergeImagePass> passes;
+  /* Sample amount that was used for rendering this layer. */
+  int samples;
+};
+
+/* Merge Image */
+
+struct MergeImage {
+  /* OIIO file handle. */
+  unique_ptr<ImageInput> in;
+  /* Image file path. */
+  string filepath;
+  /* Render layers. */
+  vector<MergeImageLayer> layers;
+};
+
+/* Channel Parsing */
+
+static MergeChannelOp parse_channel_operation(const string &pass_name)
+{
+  if (pass_name == "Depth" || pass_name == "IndexMA" || pass_name == "IndexOB" ||
+      string_startswith(pass_name, "Crypto")) {
+    return MERGE_CHANNEL_COPY;
+  }
+  else if (string_startswith(pass_name, "Debug BVH") ||
+           string_startswith(pass_name, "Debug Ray") ||
+           string_startswith(pass_name, "Debug Render Time")) {
+    return MERGE_CHANNEL_SUM;
+  }
+  else {
+    return MERGE_CHANNEL_AVERAGE;
+  }
+}
+
+/* Splits in at its last dot, setting suffix to the part after the dot and
+ * into the part before it. Returns whether a dot was found. */
+static bool split_last_dot(string &in, string &suffix)
+{
+  size_t pos = in.rfind(".");
+  if (pos == string::npos) {
+    return false;
+  }
+  suffix = in.substr(pos + 1);
+  in = in.substr(0, pos);
+  return true;
+}
+
+/* Separate channel names as generated by Blender.
+ * Multiview format: RenderLayer.Pass.View.Channel
+ * Otherwise: RenderLayer.Pass.Channel */
+static bool parse_channel_name(
+    string name, string &renderlayer, string &pass, string &channel, bool multiview_channels)
+{
+  if (!split_last_dot(name, channel)) {
+    return false;
+  }
+  string view;
+  if (multiview_channels && !split_last_dot(name, view)) {
+    return false;
+  }
+  if (!split_last_dot(name, pass)) {
+    return false;
+  }
+  renderlayer = name;
+
+  if (multiview_channels) {
+    renderlayer += "." + view;
+  }
+
+  return true;
+}
+
+static bool parse_channels(const ImageSpec &in_spec,
+                           vector<MergeImageLayer> &layers,
+                           string &error)
+{
+  const ParamValue *multiview = in_spec.find_attribute("multiView");
+  const bool multiview_channels = (multiview && multiview->type().basetype == TypeDesc::STRING &&
+                                   multiview->type().arraylen >= 2);
+
+  layers.clear();
+
+  /* Loop over all the channels in the file, parse their name and sort them
+   * by RenderLayer.
+   * Channels that can't be parsed are directly passed through to the output. */
+  map<string, MergeImageLayer> file_layers;
+  for (int i = 0; i < in_spec.nchannels; i++) {
+    MergeImagePass pass;
+    pass.channel_name = in_spec.channelnames[i];
+    pass.format = (in_spec.channelformats.size() > 0) ? in_spec.channelformats[i] : in_spec.format;
+    pass.offset = i;
+    pass.merge_offset = i;
+
+    string layername, passname, channelname;
+    if (parse_channel_name(
+            pass.channel_name, layername, passname, channelname, multiview_channels)) {
+      /* Channel part of a render layer. */
+      pass.op = parse_channel_operation(passname);
+    }
+    else {
+      /* Other channels are added in unnamed layer. */
+      layername = "";
+      pass.op = parse_channel_operation(pass.channel_name);
+    }
+
+    file_layers[layername].passes.push_back(pass);
+  }
+
+  /* Loop over all detected render-layers, check whether they contain a full set of input channels.
+   * Any channels that won't be processed internally are also passed through. */
+  for (auto &i : file_layers) {
+    const string &name = i.first;
+    MergeImageLayer &layer = i.second;
+
+    layer.name = name;
+    layer.samples = 0;
+
+    /* Determine number of samples from metadata. */
+    if (layer.name == "") {
+      layer.samples = 1;
+    }
+    else if (layer.samples < 1) {
+      string sample_string = in_spec.get_string_attribute("cycles." + name + ".samples", "");
+      if (sample_string != "") {
+        if (!sscanf(sample_string.c_str(), "%d", &layer.samples)) {
+          error = "Failed to parse samples metadata: " + sample_string;
+          return false;
+        }
+      }
+    }
+
+    if (layer.samples < 1) {
+      error = string_printf(
+          "No sample number specified in the file for layer %s or on the command line",
+          name.c_str());
+      return false;
+    }
+
+    layers.push_back(layer);
+  }
+
+  return true;
+}
+
+static bool open_images(const vector<string> &filepaths, vector<MergeImage> &images, string &error)
+{
+  for (const string &filepath : filepaths) {
+    unique_ptr<ImageInput> in(ImageInput::open(filepath));
+    if (!in) {
+      error = "Couldn't open file: " + filepath;
+      return false;
+    }
+
+    MergeImage image;
+    image.in = std::move(in);
+    image.filepath = filepath;
+    if (!parse_channels(image.in->spec(), image.layers, error)) {
+      return false;
+    }
+
+    if (image.layers.size() == 0) {
+      error = "Could not find a render layer for merging";
+      return false;
+    }
+
+    if (image.in->spec().deep) {
+      error = "Merging deep images not supported.";
+      return false;
+    }
+
+    if (images.size() > 0) {
+      const ImageSpec &base_spec = images[0].in->spec();
+      const ImageSpec &spec = image.in->spec();
+
+      if (base_spec.width != spec.width || base_spec.height != spec.height ||
+          base_spec.depth != spec.depth || base_spec.format != spec.format ||
+          base_spec.deep != spec.deep) {
+        error = "Images do not have matching size and data layout.";
+        return false;
+      }
+    }
+
+    images.push_back(std::move(image));
+  }
+
+  return true;
+}
+
+static void merge_render_time(ImageSpec &spec,
+                              const vector<MergeImage> &images,
+                              const string &name,
+                              const bool average)
+{
+  double time = 0.0;
+
+  for (const MergeImage &image : images) {
+    string time_str = image.in->spec().get_string_attribute(name, "");
+    time += time_human_readable_to_seconds(time_str);
+  }
+
+  if (average) {
+    time /= images.size();
+  }
+
+  spec.attribute(name, TypeDesc::STRING, time_human_readable_from_seconds(time));
+}
+
+static void merge_layer_render_time(ImageSpec &spec,
+                                    const vector<MergeImage> &images,
+                                    const string &layer_name,
+                                    const string &time_name,
+                                    const bool average)
+{
+  string name = "cycles." + layer_name + "." + time_name;
+  double time = 0.0;
+
+  for (const MergeImage &image : images) {
+    string time_str = image.in->spec().get_string_attribute(name, "");
+    time += time_human_readable_to_seconds(time_str);
+  }
+
+  if (average) {
+    time /= images.size();
+  }
+
+  spec.attribute(name, TypeDesc::STRING, time_human_readable_from_seconds(time));
+}
+
+static void merge_channels_metadata(vector<MergeImage> &images,
+                                    ImageSpec &out_spec,
+                                    vector<int> &channel_total_samples)
+{
+  /* Based on first image. */
+  out_spec = images[0].in->spec();
+
+  /* Merge channels and compute offsets. */
+  out_spec.nchannels = 0;
+  out_spec.channelformats.clear();
+  out_spec.channelnames.clear();
+
+  for (MergeImage &image : images) {
+    for (MergeImageLayer &layer : image.layers) {
+      for (MergeImagePass &pass : layer.passes) {
+        /* Test if matching channel already exists in merged image. */
+        bool found = false;
+
+        for (size_t i = 0; i < out_spec.nchannels; i++) {
+          if (pass.channel_name == out_spec.channelnames[i]) {
+            pass.merge_offset = i;
+            channel_total_samples[i] += layer.samples;
+            /* First image wins for channels that can't be averaged or summed. */
+            if (pass.op == MERGE_CHANNEL_COPY) {
+              pass.op = MERGE_CHANNEL_NOP;
+            }
+            found = true;
+            break;
+          }
+        }
+
+        if (!found) {
+          /* Add new channel. */
+          pass.merge_offset = out_spec.nchannels;
+          channel_total_samples.push_back(layer.samples);
+
+          out_spec.channelnames.push_back(pass.channel_name);
+          out_spec.channelformats.push_back(pass.format);
+          out_spec.nchannels++;
+        }
+      }
+    }
+  }
+
+  /* Merge metadata. */
+  merge_render_time(out_spec, images, "RenderTime", false);
+
+  map<string, int> layer_num_samples;
+  for (MergeImage &image : images) {
+    for (MergeImageLayer &layer : image.layers) {
+      if (layer.name != "") {
+        layer_num_samples[layer.name] += layer.samples;
+      }
+    }
+  }
+
+  for (const auto &i : layer_num_samples) {
+    string name = "cycles." + i.first + ".samples";
+    out_spec.attribute(name, TypeDesc::STRING, string_printf("%d", i.second));
+
+    merge_layer_render_time(out_spec, images, i.first, "total_time", false);
+    merge_layer_render_time(out_spec, images, i.first, "render_time", false);
+    merge_layer_render_time(out_spec, images, i.first, "synchronization_time", true);
+  }
+}
+
+static void alloc_pixels(const ImageSpec &spec, array<float> &pixels)
+{
+  const size_t width = spec.width;
+  const size_t height = spec.height;
+  const size_t num_channels = spec.nchannels;
+
+  const size_t num_pixels = (size_t)width * (size_t)height;
+  pixels.resize(num_pixels * num_channels);
+}
+
+static bool merge_pixels(const vector<MergeImage> &images,
+                         const ImageSpec &out_spec,
+                         const vector<int> &channel_total_samples,
+                         array<float> &out_pixels,
+                         string &error)
+{
+  alloc_pixels(out_spec, out_pixels);
+  memset(out_pixels.data(), 0, out_pixels.size() * sizeof(float));
+
+  for (const MergeImage &image : images) {
+    /* Read all channels into buffer. Reading all channels at once is
+     * faster than individually due to interleaved EXR channel storage. */
+    array<float> pixels;
+    alloc_pixels(image.in->spec(), pixels);
+
+    if (!image.in->read_image(TypeDesc::FLOAT, pixels.data())) {
+      error = "Failed to read image: " + image.filepath;
+      return false;
+    }
+
+    for (size_t li = 0; li < image.layers.size(); li++) {
+      const MergeImageLayer &layer = image.layers[li];
+
+      const size_t stride = image.in->spec().nchannels;
+      const size_t out_stride = out_spec.nchannels;
+      const size_t num_pixels = pixels.size();
+
+      for (const MergeImagePass &pass : layer.passes) {
+        size_t offset = pass.offset;
+        size_t out_offset = pass.merge_offset;
+
+        switch (pass.op) {
+          case MERGE_CHANNEL_NOP:
+            break;
+          case MERGE_CHANNEL_COPY:
+            for (; offset < num_pixels; offset += stride, out_offset += out_stride) {
+              out_pixels[out_offset] = pixels[offset];
+            }
+            break;
+          case MERGE_CHANNEL_SUM:
+            for (; offset < num_pixels; offset += stride, out_offset += out_stride) {
+              out_pixels[out_offset] += pixels[offset];
+            }
+            break;
+          case MERGE_CHANNEL_AVERAGE:
+            /* Weights based on sample metadata. Per channel since not
+             * all files are guaranteed to have the same channels. */
+            const int total_samples = channel_total_samples[out_offset];
+            const float t = (float)layer.samples / (float)total_samples;
+
+            for (; offset < num_pixels; offset += stride, out_offset += out_stride) {
+              out_pixels[out_offset] += t * pixels[offset];
+            }
+            break;
+        }
+      }
+    }
+  }
+
+  return true;
+}
+
+static bool save_output(const string &filepath,
+                        const ImageSpec &spec,
+                        const array<float> &pixels,
+                        string &error)
+{
+  /* Write to temporary file path, so we merge images in place and don't
+   * risk destroying files when something goes wrong in file saving. */
+  string extension = OIIO::Filesystem::extension(filepath);
+  string unique_name = ".merge-tmp-" + OIIO::Filesystem::unique_path();
+  string tmp_filepath = filepath + unique_name + extension;
+  unique_ptr<ImageOutput> out(ImageOutput::create(tmp_filepath));
+
+  if (!out) {
+    error = "Failed to open temporary file " + tmp_filepath + " for writing";
+    return false;
+  }
+
+  /* Open temporary file and write image buffers. */
+  if (!out->open(tmp_filepath, spec)) {
+    error = "Failed to open file " + tmp_filepath + " for writing: " + out->geterror();
+    return false;
+  }
+
+  bool ok = true;
+  if (!out->write_image(TypeDesc::FLOAT, pixels.data())) {
+    error = "Failed to write to file " + tmp_filepath + ": " + out->geterror();
+    ok = false;
+  }
+
+  if (!out->close()) {
+    error = "Failed to save to file " + tmp_filepath + ": " + out->geterror();
+    ok = false;
+  }
+
+  out.reset();
+
+  /* Copy temporary file to output filepath. */
+  string rename_error;
+  if (ok && !OIIO::Filesystem::rename(tmp_filepath, filepath, rename_error)) {
+    error = "Failed to move merged image to " + filepath + ": " + rename_error;
+    ok = false;
+  }
+
+  if (!ok) {
+    OIIO::Filesystem::remove(tmp_filepath);
+  }
+
+  return ok;
+}
+
+/* Image Merger */
+
+ImageMerger::ImageMerger()
+{
+}
+
+bool ImageMerger::run()
+{
+  if (input.empty()) {
+    error = "No input file paths specified.";
+    return false;
+  }
+  if (output.empty()) {
+    error = "No output file path specified.";
+    return false;
+  }
+
+  /* Open images and verify they have matching layout. */
+  vector<MergeImage> images;
+  if (!open_images(input, images, error)) {
+    return false;
+  }
+
+  /* Merge metadata and setup channels and offsets. */
+  ImageSpec out_spec;
+  vector<int> channel_total_samples;
+  merge_channels_metadata(images, out_spec, channel_total_samples);
+
+  /* Merge pixels. */
+  array<float> out_pixels;
+  if (!merge_pixels(images, out_spec, channel_total_samples, out_pixels, error)) {
+    return false;
+  }
+
+  /* We don't need input anymore at this point, and will possibly
+   * overwrite the same file. */
+  images.clear();
+
+  /* Save output file. */
+  return save_output(output, out_spec, out_pixels, error);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/session/merge.h b/intern/cycles/session/merge.h
new file mode 100644
index 00000000000..87e5d2d4723
--- /dev/null
+++ b/intern/cycles/session/merge.h
@@ -0,0 +1,43 @@
+/*
+ * Copyright 2011-2019 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __MERGE_H__
+#define __MERGE_H__
+
+#include "util/util_string.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Merge OpenEXR multilayer renders. */
+
+class ImageMerger {
+ public:
+  ImageMerger();
+  bool run();
+
+  /* Error message after running, in case of failure. */
+  string error;
+
+  /* List of image filepaths to merge. */
+  vector<string> input;
+  /* Output filepath. */
+  string output;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __MERGE_H__ */
diff --git a/intern/cycles/session/output_driver.h b/intern/cycles/session/output_driver.h
new file mode 100644
index 00000000000..b7e980d71d4
--- /dev/null
+++ b/intern/cycles/session/output_driver.h
@@ -0,0 +1,82 @@
+/*
+ * Copyright 2021 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "util/util_math.h"
+#include "util/util_string.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* Output driver for reading render buffers.
+ *
+ * Host applications implement this interface for outputting render buffers for offline rendering.
+ * Drivers can be used to copy the buffers into the host application or write them directly to
+ * disk. This interface may also be used for interactive display, however the DisplayDriver is more
+ * efficient for that purpose.
+ */
+class OutputDriver {
+ public:
+  OutputDriver() = default;
+  virtual ~OutputDriver() = default;
+
+  class Tile {
+   public:
+    Tile(const int2 offset,
+         const int2 size,
+         const int2 full_size,
+         const string_view layer,
+         const string_view view)
+        : offset(offset), size(size), full_size(full_size), layer(layer), view(view)
+    {
+    }
+    virtual ~Tile() = default;
+
+    const int2 offset;
+    const int2 size;
+    const int2 full_size;
+    const string layer;
+    const string view;
+
+    virtual bool get_pass_pixels(const string_view pass_name,
+                                 const int num_channels,
+                                 float *pixels) const = 0;
+    virtual bool set_pass_pixels(const string_view pass_name,
+                                 const int num_channels,
+                                 const float *pixels) const = 0;
+  };
+
+  /* Write tile once it has finished rendering. */
+  virtual void write_render_tile(const Tile &tile) = 0;
+
+  /* Update tile while rendering is in progress. Return true if any update
+   * was performed. */
+  virtual bool update_render_tile(const Tile & /* tile */)
+  {
+    return false;
+  }
+
+  /* For baking, read render pass PASS_BAKE_PRIMITIVE and PASS_BAKE_DIFFERENTIAL
+   * to determine which shading points to use for baking at each pixel. Return
+   * true if any data was read. */
+  virtual bool read_render_tile(const Tile & /* tile */)
+  {
+    return false;
+  }
+};
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/session/session.cpp b/intern/cycles/session/session.cpp
new file mode 100644
index 00000000000..f8fc892f127
--- /dev/null
+++ b/intern/cycles/session/session.cpp
@@ -0,0 +1,624 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <limits.h>
+#include <string.h>
+
+#include "device/cpu/device.h"
+#include "device/device.h"
+#include "integrator/pass_accessor_cpu.h"
+#include "integrator/path_trace.h"
+#include "scene/background.h"
+#include "scene/bake.h"
+#include "scene/camera.h"
+#include "scene/integrator.h"
+#include "scene/light.h"
+#include "scene/mesh.h"
+#include "scene/object.h"
+#include "scene/scene.h"
+#include "scene/shader_graph.h"
+#include "session/buffers.h"
+#include "session/display_driver.h"
+#include "session/output_driver.h"
+#include "session/session.h"
+
+#include "util/util_foreach.h"
+#include "util/util_function.h"
+#include "util/util_logging.h"
+#include "util/util_math.h"
+#include "util/util_task.h"
+#include "util/util_time.h"
+
+CCL_NAMESPACE_BEGIN
+
+Session::Session(const SessionParams &params_, const SceneParams &scene_params)
+    : params(params_), render_scheduler_(tile_manager_, params)
+{
+  TaskScheduler::init(params.threads);
+
+  session_thread_ = nullptr;
+
+  delayed_reset_.do_reset = false;
+
+  pause_ = false;
+  cancel_ = false;
+  new_work_added_ = false;
+
+  device = Device::create(params.device, stats, profiler);
+
+  scene = new Scene(scene_params, device);
+
+  /* Configure path tracer. */
+  path_trace_ = make_unique<PathTrace>(
+      device, scene->film, &scene->dscene, render_scheduler_, tile_manager_);
+  path_trace_->set_progress(&progress);
+  path_trace_->progress_update_cb = [&]() { update_status_time(); };
+
+  tile_manager_.full_buffer_written_cb = [&](string_view filename) {
+    if (!full_buffer_written_cb) {
+      return;
+    }
+    full_buffer_written_cb(filename);
+  };
+}
+
+Session::~Session()
+{
+  cancel();
+
+  /* Make sure path tracer is destroyed before the device. This is needed because destruction might
+   * need to access device for device memory free. */
+  /* TODO(sergey): Convert device to be unique_ptr, and rely on C++ to destruct objects in the
+   * pre-defined order. */
+  path_trace_.reset();
+
+  delete scene;
+  delete device;
+
+  TaskScheduler::exit();
+}
+
+void Session::start()
+{
+  if (!session_thread_) {
+    session_thread_ = new thread(function_bind(&Session::run, this));
+  }
+}
+
+void Session::cancel(bool quick)
+{
+  if (quick && path_trace_) {
+    path_trace_->cancel();
+  }
+
+  if (session_thread_) {
+    /* wait for session thread to end */
+    progress.set_cancel("Exiting");
+
+    {
+      thread_scoped_lock pause_lock(pause_mutex_);
+      pause_ = false;
+      cancel_ = true;
+    }
+    pause_cond_.notify_all();
+
+    wait();
+  }
+}
+
+bool Session::ready_to_reset()
+{
+  return path_trace_->ready_to_reset();
+}
+
+void Session::run_main_render_loop()
+{
+  path_trace_->clear_display();
+
+  while (true) {
+    RenderWork render_work = run_update_for_next_iteration();
+
+    if (!render_work) {
+      if (VLOG_IS_ON(2)) {
+        double total_time, render_time;
+        progress.get_time(total_time, render_time);
+        VLOG(2) << "Rendering in main loop is done in " << render_time << " seconds.";
+        VLOG(2) << path_trace_->full_report();
+      }
+
+      if (params.background) {
+        /* if no work left and in background mode, we can stop immediately. */
+        progress.set_status("Finished");
+        break;
+      }
+    }
+
+    const bool did_cancel = progress.get_cancel();
+    if (did_cancel) {
+      render_scheduler_.render_work_reschedule_on_cancel(render_work);
+      if (!render_work) {
+        break;
+      }
+    }
+    else if (run_wait_for_work(render_work)) {
+      continue;
+    }
+
+    /* Stop rendering if error happened during scene update or other step of preparing scene
+     * for render. */
+    if (device->have_error()) {
+      progress.set_error(device->error_message());
+      break;
+    }
+
+    {
+      /* buffers mutex is locked entirely while rendering each
+       * sample, and released/reacquired on each iteration to allow
+       * reset and draw in between */
+      thread_scoped_lock buffers_lock(buffers_mutex_);
+
+      /* update status and timing */
+      update_status_time();
+
+      /* render */
+      path_trace_->render(render_work);
+
+      /* update status and timing */
+      update_status_time();
+
+      /* Stop rendering if error happened during path tracing. */
+      if (device->have_error()) {
+        progress.set_error(device->error_message());
+        break;
+      }
+    }
+
+    progress.set_update();
+
+    if (did_cancel) {
+      break;
+    }
+  }
+}
+
+void Session::run()
+{
+  if (params.use_profiling && (params.device.type == DEVICE_CPU)) {
+    profiler.start();
+  }
+
+  /* session thread loop */
+  progress.set_status("Waiting for render to start");
+
+  /* run */
+  if (!progress.get_cancel()) {
+    /* reset number of rendered samples */
+    progress.reset_sample();
+
+    run_main_render_loop();
+  }
+
+  profiler.stop();
+
+  /* progress update */
+  if (progress.get_cancel())
+    progress.set_status(progress.get_cancel_message());
+  else
+    progress.set_update();
+}
+
+RenderWork Session::run_update_for_next_iteration()
+{
+  RenderWork render_work;
+
+  thread_scoped_lock scene_lock(scene->mutex);
+  thread_scoped_lock reset_lock(delayed_reset_.mutex);
+
+  bool have_tiles = true;
+  bool switched_to_new_tile = false;
+
+  const bool did_reset = delayed_reset_.do_reset;
+  if (delayed_reset_.do_reset) {
+    thread_scoped_lock buffers_lock(buffers_mutex_);
+    do_delayed_reset();
+
+    /* After reset make sure the tile manager is at the first big tile. */
+    have_tiles = tile_manager_.next();
+    switched_to_new_tile = true;
+  }
+
+  /* Update number of samples in the integrator.
+   * Ideally this would need to happen once in `Session::set_samples()`, but the issue there is
+   * the initial configuration when Session is created where the `set_samples()` is not used.
+   *
+   * NOTE: Unless reset was requested only allow increasing number of samples. */
+  if (did_reset || scene->integrator->get_aa_samples() < params.samples) {
+    scene->integrator->set_aa_samples(params.samples);
+  }
+
+  /* Update denoiser settings. */
+  {
+    const DenoiseParams denoise_params = scene->integrator->get_denoise_params();
+    path_trace_->set_denoiser_params(denoise_params);
+  }
+
+  /* Update adaptive sampling. */
+  {
+    const AdaptiveSampling adaptive_sampling = scene->integrator->get_adaptive_sampling();
+    path_trace_->set_adaptive_sampling(adaptive_sampling);
+  }
+
+  render_scheduler_.set_num_samples(params.samples);
+  render_scheduler_.set_time_limit(params.time_limit);
+
+  while (have_tiles) {
+    render_work = render_scheduler_.get_render_work();
+    if (render_work) {
+      break;
+    }
+
+    progress.add_finished_tile(false);
+
+    have_tiles = tile_manager_.next();
+    if (have_tiles) {
+      render_scheduler_.reset_for_next_tile();
+      switched_to_new_tile = true;
+    }
+  }
+
+  if (render_work) {
+    scoped_timer update_timer;
+
+    if (switched_to_new_tile) {
+      BufferParams tile_params = buffer_params_;
+
+      const Tile &tile = tile_manager_.get_current_tile();
+
+      tile_params.width = tile.width;
+      tile_params.height = tile.height;
+
+      tile_params.window_x = tile.window_x;
+      tile_params.window_y = tile.window_y;
+      tile_params.window_width = tile.window_width;
+      tile_params.window_height = tile.window_height;
+
+      tile_params.full_x = tile.x + buffer_params_.full_x;
+      tile_params.full_y = tile.y + buffer_params_.full_y;
+      tile_params.full_width = buffer_params_.full_width;
+      tile_params.full_height = buffer_params_.full_height;
+
+      tile_params.update_offset_stride();
+
+      path_trace_->reset(buffer_params_, tile_params);
+    }
+
+    const int resolution = render_work.resolution_divider;
+    const int width = max(1, buffer_params_.full_width / resolution);
+    const int height = max(1, buffer_params_.full_height / resolution);
+
+    if (update_scene(width, height)) {
+      profiler.reset(scene->shaders.size(), scene->objects.size());
+    }
+    progress.add_skip_time(update_timer, params.background);
+  }
+
+  return render_work;
+}
+
+bool Session::run_wait_for_work(const RenderWork &render_work)
+{
+  /* In an offline rendering there is no pause, and no tiles will mean the job is fully done. */
+  if (params.background) {
+    return false;
+  }
+
+  thread_scoped_lock pause_lock(pause_mutex_);
+
+  if (!pause_ && render_work) {
+    /* Rendering is not paused and there is work to be done. No need to wait for anything. */
+    return false;
+  }
+
+  const bool no_work = !render_work;
+  update_status_time(pause_, no_work);
+
+  /* Only leave the loop when rendering is not paused. But even if the current render is un-paused
+   * but there is nothing to render keep waiting until new work is added. */
+  while (!cancel_) {
+    scoped_timer pause_timer;
+
+    if (!pause_ && (render_work || new_work_added_ || delayed_reset_.do_reset)) {
+      break;
+    }
+
+    /* Wait for either pause state changed, or extra samples added to render. */
+    pause_cond_.wait(pause_lock);
+
+    if (pause_) {
+      progress.add_skip_time(pause_timer, params.background);
+    }
+
+    update_status_time(pause_, no_work);
+    progress.set_update();
+  }
+
+  new_work_added_ = false;
+
+  return no_work;
+}
+
+void Session::draw()
+{
+  path_trace_->draw();
+}
+
+int2 Session::get_effective_tile_size() const
+{
+  /* No support yet for baking with tiles. */
+  if (!params.use_auto_tile || scene->bake_manager->get_baking()) {
+    return make_int2(buffer_params_.width, buffer_params_.height);
+  }
+
+  /* TODO(sergey): Take available memory into account, and if there is enough memory do not tile
+   * and prefer optimal performance. */
+  const int tile_size = tile_manager_.compute_render_tile_size(params.tile_size);
+  return make_int2(tile_size, tile_size);
+}
+
+void Session::do_delayed_reset()
+{
+  if (!delayed_reset_.do_reset) {
+    return;
+  }
+  delayed_reset_.do_reset = false;
+
+  params = delayed_reset_.session_params;
+  buffer_params_ = delayed_reset_.buffer_params;
+
+  /* Store parameters used for buffers access outside of scene graph.  */
+  buffer_params_.samples = params.samples;
+  buffer_params_.exposure = scene->film->get_exposure();
+  buffer_params_.use_approximate_shadow_catcher =
+      scene->film->get_use_approximate_shadow_catcher();
+  buffer_params_.use_transparent_background = scene->background->get_transparent();
+
+  /* Tile and work scheduling. */
+  tile_manager_.reset_scheduling(buffer_params_, get_effective_tile_size());
+  render_scheduler_.reset(buffer_params_, params.samples);
+
+  /* Passes. */
+  /* When multiple tiles are used SAMPLE_COUNT pass is used to keep track of possible partial
+   * tile results. It is safe to use generic update function here which checks for changes since
+   * changes in tile settings re-creates session, which ensures film is fully updated on tile
+   * changes. */
+  scene->film->update_passes(scene, tile_manager_.has_multiple_tiles());
+
+  /* Update for new state of scene and passes. */
+  buffer_params_.update_passes(scene->passes);
+  tile_manager_.update(buffer_params_, scene);
+
+  /* Progress. */
+  progress.reset_sample();
+  progress.set_total_pixel_samples(static_cast<uint64_t>(buffer_params_.width) *
+                                   buffer_params_.height * params.samples);
+
+  if (!params.background) {
+    progress.set_start_time();
+  }
+  progress.set_render_start_time();
+}
+
+void Session::reset(const SessionParams &session_params, const BufferParams &buffer_params)
+{
+  {
+    thread_scoped_lock reset_lock(delayed_reset_.mutex);
+    thread_scoped_lock pause_lock(pause_mutex_);
+
+    delayed_reset_.do_reset = true;
+    delayed_reset_.session_params = session_params;
+    delayed_reset_.buffer_params = buffer_params;
+
+    path_trace_->cancel();
+  }
+
+  pause_cond_.notify_all();
+}
+
+void Session::set_samples(int samples)
+{
+  if (samples == params.samples) {
+    return;
+  }
+
+  params.samples = samples;
+
+  {
+    thread_scoped_lock pause_lock(pause_mutex_);
+    new_work_added_ = true;
+  }
+
+  pause_cond_.notify_all();
+}
+
+void Session::set_time_limit(double time_limit)
+{
+  if (time_limit == params.time_limit) {
+    return;
+  }
+
+  params.time_limit = time_limit;
+
+  {
+    thread_scoped_lock pause_lock(pause_mutex_);
+    new_work_added_ = true;
+  }
+
+  pause_cond_.notify_all();
+}
+
+void Session::set_pause(bool pause)
+{
+  bool notify = false;
+
+  {
+    thread_scoped_lock pause_lock(pause_mutex_);
+
+    if (pause != pause_) {
+      pause_ = pause;
+      notify = true;
+    }
+  }
+
+  if (session_thread_) {
+    if (notify) {
+      pause_cond_.notify_all();
+    }
+  }
+  else if (pause_) {
+    update_status_time(pause_);
+  }
+}
+
+void Session::set_output_driver(unique_ptr<OutputDriver> driver)
+{
+  path_trace_->set_output_driver(move(driver));
+}
+
+void Session::set_display_driver(unique_ptr<DisplayDriver> driver)
+{
+  path_trace_->set_display_driver(move(driver));
+}
+
+double Session::get_estimated_remaining_time() const
+{
+  const float completed = progress.get_progress();
+  if (completed == 0.0f) {
+    return 0.0;
+  }
+
+  double total_time, render_time;
+  progress.get_time(total_time, render_time);
+  double remaining = (1.0 - (double)completed) * (render_time / (double)completed);
+
+  const double time_limit = render_scheduler_.get_time_limit();
+  if (time_limit != 0.0) {
+    remaining = min(remaining, max(time_limit - render_time, 0.0));
+  }
+
+  return remaining;
+}
+
+void Session::wait()
+{
+  if (session_thread_) {
+    session_thread_->join();
+    delete session_thread_;
+  }
+
+  session_thread_ = nullptr;
+}
+
+bool Session::update_scene(int width, int height)
+{
+  /* Update camera if dimensions changed for progressive render. the camera
+   * knows nothing about progressive or cropped rendering, it just gets the
+   * image dimensions passed in. */
+  Camera *cam = scene->camera;
+  cam->set_screen_size(width, height);
+
+  const bool scene_update_result = scene->update(progress);
+
+  path_trace_->load_kernels();
+  path_trace_->alloc_work_memory();
+
+  return scene_update_result;
+}
+
+static string status_append(const string &status, const string &suffix)
+{
+  string prefix = status;
+  if (!prefix.empty()) {
+    prefix += ", ";
+  }
+  return prefix + suffix;
+}
+
+void Session::update_status_time(bool show_pause, bool show_done)
+{
+  string status, substatus;
+
+  const int current_tile = progress.get_rendered_tiles();
+  const int num_tiles = tile_manager_.get_num_tiles();
+
+  const int current_sample = progress.get_current_sample();
+  const int num_samples = render_scheduler_.get_num_samples();
+
+  /* TIle. */
+  if (tile_manager_.has_multiple_tiles()) {
+    substatus = status_append(substatus,
+                              string_printf("Rendered %d/%d Tiles", current_tile, num_tiles));
+  }
+
+  /* Sample. */
+  if (num_samples == Integrator::MAX_SAMPLES) {
+    substatus = status_append(substatus, string_printf("Sample %d", current_sample));
+  }
+  else {
+    substatus = status_append(substatus,
+                              string_printf("Sample %d/%d", current_sample, num_samples));
+  }
+
+  /* TODO(sergey): Denoising status from the path trace. */
+
+  if (show_pause) {
+    status = "Rendering Paused";
+  }
+  else if (show_done) {
+    status = "Rendering Done";
+    progress.set_end_time(); /* Save end time so that further calls to get_time are accurate. */
+  }
+  else {
+    status = substatus;
+    substatus.clear();
+  }
+
+  progress.set_status(status, substatus);
+}
+
+void Session::device_free()
+{
+  scene->device_free();
+  path_trace_->device_free();
+}
+
+void Session::collect_statistics(RenderStats *render_stats)
+{
+  scene->collect_statistics(render_stats);
+  if (params.use_profiling && (params.device.type == DEVICE_CPU)) {
+    render_stats->collect_profiling(scene, profiler);
+  }
+}
+
+/* --------------------------------------------------------------------
+ * Full-frame on-disk storage.
+ */
+
+void Session::process_full_buffer_from_disk(string_view filename)
+{
+  path_trace_->process_full_buffer_from_disk(filename);
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/session/session.h b/intern/cycles/session/session.h
new file mode 100644
index 00000000000..5aa6df79ef1
--- /dev/null
+++ b/intern/cycles/session/session.h
@@ -0,0 +1,229 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __SESSION_H__
+#define __SESSION_H__
+
+#include "device/device.h"
+#include "integrator/render_scheduler.h"
+#include "scene/shader.h"
+#include "scene/stats.h"
+#include "session/buffers.h"
+#include "session/tile.h"
+
+#include "util/util_progress.h"
+#include "util/util_stats.h"
+#include "util/util_thread.h"
+#include "util/util_unique_ptr.h"
+#include "util/util_vector.h"
+
+CCL_NAMESPACE_BEGIN
+
+class BufferParams;
+class Device;
+class DeviceScene;
+class DisplayDriver;
+class OutputDriver;
+class PathTrace;
+class Progress;
+class RenderBuffers;
+class Scene;
+class SceneParams;
+
+/* Session Parameters */
+
+class SessionParams {
+ public:
+  DeviceInfo device;
+
+  bool headless;
+  bool background;
+
+  bool experimental;
+  int samples;
+  int pixel_size;
+  int threads;
+
+  /* Limit in seconds for how long path tracing is allowed to happen.
+   * Zero means no limit is applied. */
+  double time_limit;
+
+  bool use_profiling;
+
+  bool use_auto_tile;
+  int tile_size;
+
+  ShadingSystem shadingsystem;
+
+  SessionParams()
+  {
+    headless = false;
+    background = false;
+
+    experimental = false;
+    samples = 1024;
+    pixel_size = 1;
+    threads = 0;
+    time_limit = 0.0;
+
+    use_profiling = false;
+
+    use_auto_tile = true;
+    tile_size = 2048;
+
+    shadingsystem = SHADINGSYSTEM_SVM;
+  }
+
+  bool modified(const SessionParams &params) const
+  {
+    /* Modified means we have to recreate the session, any parameter changes
+     * that can be handled by an existing Session are omitted. */
+    return !(device == params.device && headless == params.headless &&
+             background == params.background && experimental == params.experimental &&
+             pixel_size == params.pixel_size && threads == params.threads &&
+             use_profiling == params.use_profiling && shadingsystem == params.shadingsystem &&
+             use_auto_tile == params.use_auto_tile && tile_size == params.tile_size);
+  }
+};
+
+/* Session
+ *
+ * This is the class that contains the session thread, running the render
+ * control loop and dispatching tasks. */
+
+class Session {
+ public:
+  Device *device;
+  Scene *scene;
+  Progress progress;
+  SessionParams params;
+  Stats stats;
+  Profiler profiler;
+
+  /* Callback is invoked by tile manager whenever on-dist tiles storage file is closed after
+   * writing. Allows an engine integration to keep track of those files without worry about
+   * transferring the information when it needs to re-create session during rendering. */
+  function<void(string_view)> full_buffer_written_cb;
+
+  explicit Session(const SessionParams &params, const SceneParams &scene_params);
+  ~Session();
+
+  void start();
+
+  /* When quick cancel is requested path tracing is cancels as soon as possible, without waiting
+   * for the buffer to be uniformly sampled. */
+  void cancel(bool quick = false);
+
+  void draw();
+  void wait();
+
+  bool ready_to_reset();
+  void reset(const SessionParams &session_params, const BufferParams &buffer_params);
+
+  void set_pause(bool pause);
+
+  void set_samples(int samples);
+  void set_time_limit(double time_limit);
+
+  void set_output_driver(unique_ptr<OutputDriver> driver);
+  void set_display_driver(unique_ptr<DisplayDriver> driver);
+
+  double get_estimated_remaining_time() const;
+
+  void device_free();
+
+  /* Returns the rendering progress or 0 if no progress can be determined
+   * (for example, when rendering with unlimited samples). */
+  float get_progress();
+
+  void collect_statistics(RenderStats *stats);
+
+  /* --------------------------------------------------------------------
+   * Full-frame on-disk storage.
+   */
+
+  /* Read given full-frame file from disk, perform needed processing and write it to the software
+   * via the write callback. */
+  void process_full_buffer_from_disk(string_view filename);
+
+ protected:
+  struct DelayedReset {
+    thread_mutex mutex;
+    bool do_reset;
+    SessionParams session_params;
+    BufferParams buffer_params;
+  } delayed_reset_;
+
+  void run();
+
+  /* Update for the new iteration of the main loop in run implementation (run_cpu and run_gpu).
+   *
+   * Will take care of the following things:
+   *  - Delayed reset
+   *  - Scene update
+   *  - Tile manager advance
+   *  - Render scheduler work request
+   *
+   * The updates are done in a proper order with proper locking around them, which guarantees
+   * that the device side of scene and render buffers are always in a consistent state.
+   *
+   * Returns render work which is to be rendered next. */
+  RenderWork run_update_for_next_iteration();
+
+  /* Wait for rendering to be unpaused, or for new tiles for render to arrive.
+   * Returns true if new main render loop iteration is required after this function call.
+   *
+   * The `render_work` is the work which was scheduled by the render scheduler right before
+   * checking the pause. */
+  bool run_wait_for_work(const RenderWork &render_work);
+
+  void run_main_render_loop();
+
+  bool update_scene(int width, int height);
+
+  void update_status_time(bool show_pause = false, bool show_done = false);
+
+  void do_delayed_reset();
+
+  int2 get_effective_tile_size() const;
+
+  thread *session_thread_;
+
+  bool pause_ = false;
+  bool cancel_ = false;
+  bool new_work_added_ = false;
+
+  thread_condition_variable pause_cond_;
+  thread_mutex pause_mutex_;
+  thread_mutex tile_mutex_;
+  thread_mutex buffers_mutex_;
+
+  TileManager tile_manager_;
+  BufferParams buffer_params_;
+
+  /* Render scheduler is used to get work to be rendered with the current big tile. */
+  RenderScheduler render_scheduler_;
+
+  /* Path tracer object.
+   *
+   * Is a single full-frame path tracer for interactive viewport rendering.
+   * A path tracer for the current big-tile for an offline rendering. */
+  unique_ptr<PathTrace> path_trace_;
+};
+
+CCL_NAMESPACE_END
+
+#endif /* __SESSION_H__ */
diff --git a/intern/cycles/session/tile.cpp b/intern/cycles/session/tile.cpp
new file mode 100644
index 00000000000..59332530596
--- /dev/null
+++ b/intern/cycles/session/tile.cpp
@@ -0,0 +1,629 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "session/tile.h"
+
+#include <atomic>
+
+#include "graph/node.h"
+#include "scene/background.h"
+#include "scene/film.h"
+#include "scene/integrator.h"
+#include "scene/scene.h"
+#include "util/util_algorithm.h"
+#include "util/util_foreach.h"
+#include "util/util_logging.h"
+#include "util/util_path.h"
+#include "util/util_string.h"
+#include "util/util_system.h"
+#include "util/util_types.h"
+
+CCL_NAMESPACE_BEGIN
+
+/* --------------------------------------------------------------------
+ * Internal functions.
+ */
+
+static const char *ATTR_PASSES_COUNT = "cycles.passes.count";
+static const char *ATTR_PASS_SOCKET_PREFIX_FORMAT = "cycles.passes.%d.";
+static const char *ATTR_BUFFER_SOCKET_PREFIX = "cycles.buffer.";
+static const char *ATTR_DENOISE_SOCKET_PREFIX = "cycles.denoise.";
+
+/* Global counter of ToleManager object instances. */
+static std::atomic<uint64_t> g_instance_index = 0;
+
+/* Construct names of EXR channels which will ensure order of all channels to match exact offsets
+ * in render buffers corresponding to the given passes.
+ *
+ * Returns `std` datatypes so that it can be assigned directly to the OIIO's `ImageSpec`. */
+static std::vector<std::string> exr_channel_names_for_passes(const BufferParams &buffer_params)
+{
+  static const char *component_suffixes[] = {"R", "G", "B", "A"};
+
+  int pass_index = 0;
+  int num_channels = 0;
+  std::vector<std::string> channel_names;
+  for (const BufferPass &pass : buffer_params.passes) {
+    if (pass.offset == PASS_UNUSED) {
+      continue;
+    }
+
+    const PassInfo pass_info = pass.get_info();
+    num_channels += pass_info.num_components;
+
+    /* EXR canonically expects first part of channel names to be sorted alphabetically, which is
+     * not guaranteed to be the case with passes names. Assign a prefix based on the pass index
+     * with a fixed width to ensure ordering. This makes it possible to dump existing render
+     * buffers memory to disk and read it back without doing extra mapping. */
+    const string prefix = string_printf("%08d", pass_index);
+
+    const string channel_name_prefix = prefix + string(pass.name) + ".";
+
+    for (int i = 0; i < pass_info.num_components; ++i) {
+      channel_names.push_back(channel_name_prefix + component_suffixes[i]);
+    }
+
+    ++pass_index;
+  }
+
+  return channel_names;
+}
+
+inline string node_socket_attribute_name(const SocketType &socket, const string &attr_name_prefix)
+{
+  return attr_name_prefix + string(socket.name);
+}
+
+template<typename ValidateValueFunc, typename GetValueFunc>
+static bool node_socket_generic_to_image_spec_atttributes(
+    ImageSpec *image_spec,
+    const Node *node,
+    const SocketType &socket,
+    const string &attr_name_prefix,
+    const ValidateValueFunc &validate_value_func,
+    const GetValueFunc &get_value_func)
+{
+  if (!validate_value_func(node, socket)) {
+    return false;
+  }
+
+  image_spec->attribute(node_socket_attribute_name(socket, attr_name_prefix),
+                        get_value_func(node, socket));
+
+  return true;
+}
+
+static bool node_socket_to_image_spec_atttributes(ImageSpec *image_spec,
+                                                  const Node *node,
+                                                  const SocketType &socket,
+                                                  const string &attr_name_prefix)
+{
+  const string attr_name = node_socket_attribute_name(socket, attr_name_prefix);
+
+  switch (socket.type) {
+    case SocketType::ENUM: {
+      const ustring value = node->get_string(socket);
+
+      /* Validate that the node is consistent with the node type definition. */
+      const NodeEnum &enum_values = *socket.enum_values;
+      if (!enum_values.exists(value)) {
+        LOG(DFATAL) << "Node enum contains invalid value " << value;
+        return false;
+      }
+
+      image_spec->attribute(attr_name, value);
+
+      return true;
+    }
+
+    case SocketType::STRING:
+      image_spec->attribute(attr_name, node->get_string(socket));
+      return true;
+
+    case SocketType::INT:
+      image_spec->attribute(attr_name, node->get_int(socket));
+      return true;
+
+    case SocketType::FLOAT:
+      image_spec->attribute(attr_name, node->get_float(socket));
+      return true;
+
+    case SocketType::BOOLEAN:
+      image_spec->attribute(attr_name, node->get_bool(socket));
+      return true;
+
+    default:
+      LOG(DFATAL) << "Unhandled socket type " << socket.type << ", should never happen.";
+      return false;
+  }
+}
+
+static bool node_socket_from_image_spec_atttributes(Node *node,
+                                                    const SocketType &socket,
+                                                    const ImageSpec &image_spec,
+                                                    const string &attr_name_prefix)
+{
+  const string attr_name = node_socket_attribute_name(socket, attr_name_prefix);
+
+  switch (socket.type) {
+    case SocketType::ENUM: {
+      /* TODO(sergey): Avoid construction of `ustring` by using `string_view` in the Node API. */
+      const ustring value(image_spec.get_string_attribute(attr_name, ""));
+
+      /* Validate that the node is consistent with the node type definition. */
+      const NodeEnum &enum_values = *socket.enum_values;
+      if (!enum_values.exists(value)) {
+        LOG(ERROR) << "Invalid enumerator value " << value;
+        return false;
+      }
+
+      node->set(socket, enum_values[value]);
+
+      return true;
+    }
+
+    case SocketType::STRING:
+      /* TODO(sergey): Avoid construction of `ustring` by using `string_view` in the Node API. */
+      node->set(socket, ustring(image_spec.get_string_attribute(attr_name, "")));
+      return true;
+
+    case SocketType::INT:
+      node->set(socket, image_spec.get_int_attribute(attr_name, 0));
+      return true;
+
+    case SocketType::FLOAT:
+      node->set(socket, image_spec.get_float_attribute(attr_name, 0));
+      return true;
+
+    case SocketType::BOOLEAN:
+      node->set(socket, static_cast<bool>(image_spec.get_int_attribute(attr_name, 0)));
+      return true;
+
+    default:
+      LOG(DFATAL) << "Unhandled socket type " << socket.type << ", should never happen.";
+      return false;
+  }
+}
+
+static bool node_to_image_spec_atttributes(ImageSpec *image_spec,
+                                           const Node *node,
+                                           const string &attr_name_prefix)
+{
+  for (const SocketType &socket : node->type->inputs) {
+    if (!node_socket_to_image_spec_atttributes(image_spec, node, socket, attr_name_prefix)) {
+      return false;
+    }
+  }
+
+  return true;
+}
+
+static bool node_from_image_spec_atttributes(Node *node,
+                                             const ImageSpec &image_spec,
+                                             const string &attr_name_prefix)
+{
+  for (const SocketType &socket : node->type->inputs) {
+    if (!node_socket_from_image_spec_atttributes(node, socket, image_spec, attr_name_prefix)) {
+      return false;
+    }
+  }
+
+  return true;
+}
+
+static bool buffer_params_to_image_spec_atttributes(ImageSpec *image_spec,
+                                                    const BufferParams &buffer_params)
+{
+  if (!node_to_image_spec_atttributes(image_spec, &buffer_params, ATTR_BUFFER_SOCKET_PREFIX)) {
+    return false;
+  }
+
+  /* Passes storage is not covered by the node socket. so "expand" the loop manually. */
+
+  const int num_passes = buffer_params.passes.size();
+  image_spec->attribute(ATTR_PASSES_COUNT, num_passes);
+
+  for (int pass_index = 0; pass_index < num_passes; ++pass_index) {
+    const string attr_name_prefix = string_printf(ATTR_PASS_SOCKET_PREFIX_FORMAT, pass_index);
+
+    const BufferPass *pass = &buffer_params.passes[pass_index];
+    if (!node_to_image_spec_atttributes(image_spec, pass, attr_name_prefix)) {
+      return false;
+    }
+  }
+
+  return true;
+}
+
+static bool buffer_params_from_image_spec_atttributes(BufferParams *buffer_params,
+                                                      const ImageSpec &image_spec)
+{
+  if (!node_from_image_spec_atttributes(buffer_params, image_spec, ATTR_BUFFER_SOCKET_PREFIX)) {
+    return false;
+  }
+
+  /* Passes storage is not covered by the node socket. so "expand" the loop manually. */
+
+  const int num_passes = image_spec.get_int_attribute(ATTR_PASSES_COUNT, 0);
+  if (num_passes == 0) {
+    LOG(ERROR) << "Missing passes count attribute.";
+    return false;
+  }
+
+  for (int pass_index = 0; pass_index < num_passes; ++pass_index) {
+    const string attr_name_prefix = string_printf(ATTR_PASS_SOCKET_PREFIX_FORMAT, pass_index);
+
+    BufferPass pass;
+
+    if (!node_from_image_spec_atttributes(&pass, image_spec, attr_name_prefix)) {
+      return false;
+    }
+
+    buffer_params->passes.emplace_back(std::move(pass));
+  }
+
+  buffer_params->update_passes();
+
+  return true;
+}
+
+/* Configure image specification for the given buffer parameters and passes.
+ *
+ * Image channels will be strictly ordered to match content of corresponding buffer, and the
+ * metadata will be set so that the render buffers and passes can be reconstructed from it.
+ *
+ * If the tile size different from (0, 0) the image specification will be configured to use the
+ * given tile size for tiled IO. */
+static bool configure_image_spec_from_buffer(ImageSpec *image_spec,
+                                             const BufferParams &buffer_params,
+                                             const int2 tile_size = make_int2(0, 0))
+{
+  const std::vector<std::string> channel_names = exr_channel_names_for_passes(buffer_params);
+  const int num_channels = channel_names.size();
+
+  *image_spec = ImageSpec(
+      buffer_params.width, buffer_params.height, num_channels, TypeDesc::FLOAT);
+
+  image_spec->channelnames = move(channel_names);
+
+  if (!buffer_params_to_image_spec_atttributes(image_spec, buffer_params)) {
+    return false;
+  }
+
+  if (tile_size.x != 0 || tile_size.y != 0) {
+    DCHECK_GT(tile_size.x, 0);
+    DCHECK_GT(tile_size.y, 0);
+
+    image_spec->tile_width = min(TileManager::IMAGE_TILE_SIZE, tile_size.x);
+    image_spec->tile_height = min(TileManager::IMAGE_TILE_SIZE, tile_size.y);
+  }
+
+  return true;
+}
+
+/* --------------------------------------------------------------------
+ * Tile Manager.
+ */
+
+TileManager::TileManager()
+{
+  /* Use process ID to separate different processes.
+   * To ensure uniqueness from within a process use combination of object address and instance
+   * index. This solves problem of possible object re-allocation at the same time, and solves
+   * possible conflict when the counter overflows while there are still active instances of the
+   * class. */
+  const int tile_manager_id = g_instance_index.fetch_add(1, std::memory_order_relaxed);
+  tile_file_unique_part_ = to_string(system_self_process_id()) + "-" +
+                           to_string(reinterpret_cast<uintptr_t>(this)) + "-" +
+                           to_string(tile_manager_id);
+}
+
+TileManager::~TileManager()
+{
+}
+
+int TileManager::compute_render_tile_size(const int suggested_tile_size) const
+{
+  /* Must be a multiple of IMAGE_TILE_SIZE so that we can write render tiles into the image file
+   * aligned on image tile boundaries. We can't set IMAGE_TILE_SIZE equal to the render tile size
+   * because too big tile size leads to integer overflow inside OpenEXR. */
+  return (suggested_tile_size <= IMAGE_TILE_SIZE) ? suggested_tile_size :
+                                                    align_up(suggested_tile_size, IMAGE_TILE_SIZE);
+}
+
+void TileManager::reset_scheduling(const BufferParams &params, int2 tile_size)
+{
+  VLOG(3) << "Using tile size of " << tile_size;
+
+  close_tile_output();
+
+  tile_size_ = tile_size;
+
+  tile_state_.num_tiles_x = divide_up(params.width, tile_size_.x);
+  tile_state_.num_tiles_y = divide_up(params.height, tile_size_.y);
+  tile_state_.num_tiles = tile_state_.num_tiles_x * tile_state_.num_tiles_y;
+
+  tile_state_.next_tile_index = 0;
+
+  tile_state_.current_tile = Tile();
+}
+
+void TileManager::update(const BufferParams &params, const Scene *scene)
+{
+  DCHECK_NE(params.pass_stride, -1);
+
+  buffer_params_ = params;
+
+  /* TODO(sergey): Proper Error handling, so that if configuration has failed we don't attempt to
+   * write to a partially configured file. */
+  configure_image_spec_from_buffer(&write_state_.image_spec, buffer_params_, tile_size_);
+
+  const DenoiseParams denoise_params = scene->integrator->get_denoise_params();
+  const AdaptiveSampling adaptive_sampling = scene->integrator->get_adaptive_sampling();
+
+  node_to_image_spec_atttributes(
+      &write_state_.image_spec, &denoise_params, ATTR_DENOISE_SOCKET_PREFIX);
+
+  if (adaptive_sampling.use) {
+    overscan_ = 4;
+  }
+  else {
+    overscan_ = 0;
+  }
+}
+
+bool TileManager::done()
+{
+  return tile_state_.next_tile_index == tile_state_.num_tiles;
+}
+
+bool TileManager::next()
+{
+  if (done()) {
+    return false;
+  }
+
+  tile_state_.current_tile = get_tile_for_index(tile_state_.next_tile_index);
+
+  ++tile_state_.next_tile_index;
+
+  return true;
+}
+
+Tile TileManager::get_tile_for_index(int index) const
+{
+  /* TODO(sergey): Consider using hilbert spiral, or. maybe, even configurable. Not sure this
+   * brings a lot of value since this is only applicable to BIG tiles. */
+
+  const int tile_index_y = index / tile_state_.num_tiles_x;
+  const int tile_index_x = index - tile_index_y * tile_state_.num_tiles_x;
+
+  const int tile_window_x = tile_index_x * tile_size_.x;
+  const int tile_window_y = tile_index_y * tile_size_.y;
+
+  Tile tile;
+
+  tile.x = max(0, tile_window_x - overscan_);
+  tile.y = max(0, tile_window_y - overscan_);
+
+  tile.window_x = tile_window_x - tile.x;
+  tile.window_y = tile_window_y - tile.y;
+  tile.window_width = min(tile_size_.x, buffer_params_.width - tile_window_x);
+  tile.window_height = min(tile_size_.y, buffer_params_.height - tile_window_y);
+
+  tile.width = min(buffer_params_.width - tile.x, tile.window_x + tile.window_width + overscan_);
+  tile.height = min(buffer_params_.height - tile.y,
+                    tile.window_y + tile.window_height + overscan_);
+
+  return tile;
+}
+
+const Tile &TileManager::get_current_tile() const
+{
+  return tile_state_.current_tile;
+}
+
+const int2 TileManager::get_size() const
+{
+  return make_int2(buffer_params_.width, buffer_params_.height);
+}
+
+bool TileManager::open_tile_output()
+{
+  write_state_.filename = path_temp_get("cycles-tile-buffer-" + tile_file_unique_part_ + "-" +
+                                        to_string(write_state_.tile_file_index) + ".exr");
+
+  write_state_.tile_out = ImageOutput::create(write_state_.filename);
+  if (!write_state_.tile_out) {
+    LOG(ERROR) << "Error creating image output for " << write_state_.filename;
+    return false;
+  }
+
+  if (!write_state_.tile_out->supports("tiles")) {
+    LOG(ERROR) << "Progress tile file format does not support tiling.";
+    return false;
+  }
+
+  if (!write_state_.tile_out->open(write_state_.filename, write_state_.image_spec)) {
+    LOG(ERROR) << "Error opening tile file: " << write_state_.tile_out->geterror();
+    write_state_.tile_out = nullptr;
+    return false;
+  }
+
+  write_state_.num_tiles_written = 0;
+
+  VLOG(3) << "Opened tile file " << write_state_.filename;
+
+  return true;
+}
+
+bool TileManager::close_tile_output()
+{
+  if (!write_state_.tile_out) {
+    return true;
+  }
+
+  const bool success = write_state_.tile_out->close();
+  write_state_.tile_out = nullptr;
+
+  if (!success) {
+    LOG(ERROR) << "Error closing tile file.";
+    return false;
+  }
+
+  VLOG(3) << "Tile output is closed.";
+
+  return true;
+}
+
+bool TileManager::write_tile(const RenderBuffers &tile_buffers)
+{
+  if (!write_state_.tile_out) {
+    if (!open_tile_output()) {
+      return false;
+    }
+  }
+
+  DCHECK_EQ(tile_buffers.params.pass_stride, buffer_params_.pass_stride);
+
+  vector<float> pixel_storage;
+
+  const BufferParams &tile_params = tile_buffers.params;
+
+  const int tile_x = tile_params.full_x - buffer_params_.full_x + tile_params.window_x;
+  const int tile_y = tile_params.full_y - buffer_params_.full_y + tile_params.window_y;
+
+  const int64_t pass_stride = tile_params.pass_stride;
+  const int64_t tile_row_stride = tile_params.width * pass_stride;
+
+  const int64_t xstride = pass_stride * sizeof(float);
+  const int64_t ystride = xstride * tile_params.width;
+  const int64_t zstride = ystride * tile_params.height;
+
+  const float *pixels = tile_buffers.buffer.data() + tile_params.window_x * pass_stride +
+                        tile_params.window_y * tile_row_stride;
+
+  VLOG(3) << "Write tile at " << tile_x << ", " << tile_y;
+
+  /* The image tile sizes in the OpenEXR file are different from the size of our big tiles. The
+   * write_tiles() method expects a contiguous image region that will be split into tiles
+   * internally. OpenEXR expects the size of this region to be a multiple of the tile size,
+   * however OpenImageIO automatically adds the required padding.
+   *
+   * The only thing we have to ensure is that the tile_x and tile_y are a multiple of the
+   * image tile size, which happens in compute_render_tile_size. */
+  if (!write_state_.tile_out->write_tiles(tile_x,
+                                          tile_x + tile_params.window_width,
+                                          tile_y,
+                                          tile_y + tile_params.window_height,
+                                          0,
+                                          1,
+                                          TypeDesc::FLOAT,
+                                          pixels,
+                                          xstride,
+                                          ystride,
+                                          zstride)) {
+    LOG(ERROR) << "Error writing tile " << write_state_.tile_out->geterror();
+    return false;
+  }
+
+  ++write_state_.num_tiles_written;
+
+  return true;
+}
+
+void TileManager::finish_write_tiles()
+{
+  if (!write_state_.tile_out) {
+    /* None of the tiles were written hence the file was not created.
+     * Avoid creation of fully empty file since it is redundant. */
+    return;
+  }
+
+  /* EXR expects all tiles to present in file. So explicitly write missing tiles as all-zero. */
+  if (write_state_.num_tiles_written < tile_state_.num_tiles) {
+    vector<float> pixel_storage(tile_size_.x * tile_size_.y * buffer_params_.pass_stride);
+
+    for (int tile_index = write_state_.num_tiles_written; tile_index < tile_state_.num_tiles;
+         ++tile_index) {
+      const Tile tile = get_tile_for_index(tile_index);
+
+      const int tile_x = tile.x + tile.window_x;
+      const int tile_y = tile.y + tile.window_y;
+
+      VLOG(3) << "Write dummy tile at " << tile_x << ", " << tile_y;
+
+      write_state_.tile_out->write_tiles(tile_x,
+                                         tile_x + tile.window_width,
+                                         tile_y,
+                                         tile_y + tile.window_height,
+                                         0,
+                                         1,
+                                         TypeDesc::FLOAT,
+                                         pixel_storage.data());
+    }
+  }
+
+  close_tile_output();
+
+  if (full_buffer_written_cb) {
+    full_buffer_written_cb(write_state_.filename);
+  }
+
+  /* Advance the counter upon explicit finish of the file.
+   * Makes it possible to re-use tile manager for another scene, and avoids unnecessary increments
+   * of the tile-file-within-session index. */
+  ++write_state_.tile_file_index;
+
+  write_state_.filename = "";
+}
+
+bool TileManager::read_full_buffer_from_disk(const string_view filename,
+                                             RenderBuffers *buffers,
+                                             DenoiseParams *denoise_params)
+{
+  unique_ptr<ImageInput> in(ImageInput::open(filename));
+  if (!in) {
+    LOG(ERROR) << "Error opening tile file " << filename;
+    return false;
+  }
+
+  const ImageSpec &image_spec = in->spec();
+
+  BufferParams buffer_params;
+  if (!buffer_params_from_image_spec_atttributes(&buffer_params, image_spec)) {
+    return false;
+  }
+  buffers->reset(buffer_params);
+
+  if (!node_from_image_spec_atttributes(denoise_params, image_spec, ATTR_DENOISE_SOCKET_PREFIX)) {
+    return false;
+  }
+
+  if (!in->read_image(TypeDesc::FLOAT, buffers->buffer.data())) {
+    LOG(ERROR) << "Error reading pixels from the tile file " << in->geterror();
+    return false;
+  }
+
+  if (!in->close()) {
+    LOG(ERROR) << "Error closing tile file " << in->geterror();
+    return false;
+  }
+
+  return true;
+}
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/session/tile.h b/intern/cycles/session/tile.h
new file mode 100644
index 00000000000..37a02081a53
--- /dev/null
+++ b/intern/cycles/session/tile.h
@@ -0,0 +1,182 @@
+/*
+ * Copyright 2011-2013 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include "session/buffers.h"
+#include "util/util_image.h"
+#include "util/util_string.h"
+#include "util/util_unique_ptr.h"
+
+CCL_NAMESPACE_BEGIN
+
+class DenoiseParams;
+class Scene;
+
+/* --------------------------------------------------------------------
+ * Tile.
+ */
+
+class Tile {
+ public:
+  int x = 0, y = 0;
+  int width = 0, height = 0;
+
+  int window_x = 0, window_y = 0;
+  int window_width = 0, window_height = 0;
+
+  Tile()
+  {
+  }
+};
+
+/* --------------------------------------------------------------------
+ * Tile Manager.
+ */
+
+class TileManager {
+ public:
+  /* This callback is invoked by whenever on-dist tiles storage file is closed after writing. */
+  function<void(string_view)> full_buffer_written_cb;
+
+  TileManager();
+  ~TileManager();
+
+  TileManager(const TileManager &other) = delete;
+  TileManager(TileManager &&other) noexcept = delete;
+  TileManager &operator=(const TileManager &other) = delete;
+  TileManager &operator=(TileManager &&other) = delete;
+
+  /* Reset current progress and start new rendering of the full-frame parameters in tiles of the
+   * given size.
+   * Only touches scheduling-related state of the tile manager. */
+  /* TODO(sergey): Consider using tile area instead of exact size to help dealing with extreme
+   * cases of stretched renders. */
+  void reset_scheduling(const BufferParams &params, int2 tile_size);
+
+  /* Update for the known buffer passes and scene parameters.
+   * Will store all parameters needed for buffers access outside of the scene graph. */
+  void update(const BufferParams &params, const Scene *scene);
+
+  inline int get_num_tiles() const
+  {
+    return tile_state_.num_tiles;
+  }
+
+  inline bool has_multiple_tiles() const
+  {
+    return tile_state_.num_tiles > 1;
+  }
+
+  inline int get_tile_overscan() const
+  {
+    return overscan_;
+  }
+
+  bool next();
+  bool done();
+
+  const Tile &get_current_tile() const;
+  const int2 get_size() const;
+
+  /* Write render buffer of a tile to a file on disk.
+   *
+   * Opens file for write when first tile is written.
+   *
+   * Returns true on success. */
+  bool write_tile(const RenderBuffers &tile_buffers);
+
+  /* Inform the tile manager that no more tiles will be written to disk.
+   * The file will be considered final, all handles to it will be closed. */
+  void finish_write_tiles();
+
+  /* Check whether any tile has been written to disk. */
+  inline bool has_written_tiles() const
+  {
+    return write_state_.num_tiles_written != 0;
+  }
+
+  /* Read full frame render buffer from tiles file on disk.
+   *
+   * Returns true on success. */
+  bool read_full_buffer_from_disk(string_view filename,
+                                  RenderBuffers *buffers,
+                                  DenoiseParams *denoise_params);
+
+  /* Compute valid tile size compatible with image saving. */
+  int compute_render_tile_size(const int suggested_tile_size) const;
+
+  /* Tile size in the image file. */
+  static const int IMAGE_TILE_SIZE = 128;
+
+ protected:
+  /* Get tile configuration for its index.
+   * The tile index must be within [0, state_.tile_state_). */
+  Tile get_tile_for_index(int index) const;
+
+  bool open_tile_output();
+  bool close_tile_output();
+
+  /* Part of an on-disk tile file name which avoids conflicts between several Cycles instances or
+   * several sessions. */
+  string tile_file_unique_part_;
+
+  int2 tile_size_ = make_int2(0, 0);
+
+  /* Number of extra pixels around the actual tile to render. */
+  int overscan_ = 0;
+
+  BufferParams buffer_params_;
+
+  /* Tile scheduling state. */
+  struct {
+    int num_tiles_x = 0;
+    int num_tiles_y = 0;
+    int num_tiles = 0;
+
+    int next_tile_index;
+
+    Tile current_tile;
+  } tile_state_;
+
+  /* State of tiles writing to a file on disk. */
+  struct {
+    /* Index of a tile file used during the current session.
+     * This number is used for the file name construction, making it possible to render several
+     * scenes throughout duration of the session and keep all results available for later read
+     * access. */
+    int tile_file_index = 0;
+
+    string filename;
+
+    /* Specification of the tile image which corresponds to the buffer parameters.
+     * Contains channels configured according to the passes configuration in the path traces.
+     *
+     * Output images are saved using this specification, input images are expected to have matched
+     * specification. */
+    ImageSpec image_spec;
+
+    /* Output handle for the tile file.
+     *
+     * This file can not be closed until all tiles has been provided, so the handle is stored in
+     * the state and is created whenever writing is requested. */
+    unique_ptr<ImageOutput> tile_out;
+
+    int num_tiles_written = 0;
+  } write_state_;
+};
+
+CCL_NAMESPACE_END
diff --git a/intern/cycles/subd/subd_dice.cpp b/intern/cycles/subd/subd_dice.cpp
index 4efdb98aa0f..a4019a5d639 100644
--- a/intern/cycles/subd/subd_dice.cpp
+++ b/intern/cycles/subd/subd_dice.cpp
@@ -14,8 +14,8 @@
  * limitations under the License.
  */
 
-#include "render/camera.h"
-#include "render/mesh.h"
+#include "scene/camera.h"
+#include "scene/mesh.h"
 
 #include "subd/subd_dice.h"
 #include "subd/subd_patch.h"
diff --git a/intern/cycles/subd/subd_patch.cpp b/intern/cycles/subd/subd_patch.cpp
index a975b7b6342..23b3e6d5136 100644
--- a/intern/cycles/subd/subd_patch.cpp
+++ b/intern/cycles/subd/subd_patch.cpp
@@ -16,7 +16,7 @@
 
 /* Parts adapted from code in the public domain in NVidia Mesh Tools. */
 
-#include "render/mesh.h"
+#include "scene/mesh.h"
 
 #include "subd/subd_patch.h"
 
diff --git a/intern/cycles/subd/subd_split.cpp b/intern/cycles/subd/subd_split.cpp
index 4d648eb1f77..6b352ab02c3 100644
--- a/intern/cycles/subd/subd_split.cpp
+++ b/intern/cycles/subd/subd_split.cpp
@@ -14,8 +14,8 @@
  * limitations under the License.
  */
 
-#include "render/camera.h"
-#include "render/mesh.h"
+#include "scene/camera.h"
+#include "scene/mesh.h"
 
 #include "subd/subd_dice.h"
 #include "subd/subd_patch.h"
diff --git a/intern/cycles/test/CMakeLists.txt b/intern/cycles/test/CMakeLists.txt
index 0f6b435813f..efd9cecb877 100644
--- a/intern/cycles/test/CMakeLists.txt
+++ b/intern/cycles/test/CMakeLists.txt
@@ -25,18 +25,19 @@ set(INC
   ../device
   ../graph
   ../kernel
-  ../render
+  ../scene
   ../util
 )
 
 set(ALL_CYCLES_LIBRARIES
-  cycles_device
   cycles_kernel
   cycles_integrator
-  cycles_render
+  cycles_scene
+  cycles_session
   cycles_bvh
   cycles_graph
   cycles_subd
+  cycles_device
   cycles_util
   extern_clew
   ${CYCLES_GL_LIBRARIES}
diff --git a/intern/cycles/test/render_graph_finalize_test.cpp b/intern/cycles/test/render_graph_finalize_test.cpp
index 19c211fe5f7..4a87a382130 100644
--- a/intern/cycles/test/render_graph_finalize_test.cpp
+++ b/intern/cycles/test/render_graph_finalize_test.cpp
@@ -19,9 +19,9 @@
 
 #include "device/device.h"
 
-#include "render/graph.h"
-#include "render/nodes.h"
-#include "render/scene.h"
+#include "scene/scene.h"
+#include "scene/shader_graph.h"
+#include "scene/shader_nodes.h"
 
 #include "util/util_array.h"
 #include "util/util_logging.h"
-- 
cgit v1.2.3